Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 543, 5571, 3656, 7835, 269, 19484, 713, 15491, 5251, 3340, 3102, 1702, 543, 1620, 540, 3309, 3656, 29071, 543, 6042, 269, 0, 20112, 14853, 14034, 723, 1044, 12816, 676, 1312, 2367, 543, 2021, 585, 5553, 267, 7674, 607, 513, 3090, 540, 1379, 267, 5763, 267, 543, 2511, 269, 901, 15851, 4062, 540, 14446, 814, 513, 3638, 1686, 543, 5170, 547, 581, 513, 2442, 3903, 1851, 6752, 12439, 543, 1346, 5275, 547, 1118, 513, 3948, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 8129, 540, 519, 4154, 14853, 8258, 267, 922, 4644, 538, 1114, 4529, 267, 543, 875, 621, 814, 7960, 936, 942, 563, 763, 17959, 540, 519, 7108, 774, 3518, 23580, 454, 763, 946, 540, 14853, 14034, 7389, 1394, 547, 3504, 2053, 267, 609, 2963, 540, 741, 6228, 538, 1585, 12977, 269, 634, 9998, 1634, 14853, 14034, 941, 1500, 689, 2326, 971, 607, 5642, 267, 3574, 267, 543, 6149, 269, 1717, 267, 607, 4496, 11529, 2553, 4359, 267, 4154, 14853, 14034, 2968, 811, 11342, 563, 26123, 21072, 941, 1851, 519, 1101, 547, 9784, 519, 4154, 14853, 8258, 269, 1358, 5156, 602, 9849, 513, 14853, 8258, 1223, 3142, 1434, 9939, 543, 2149, 1996, 9409, 14326, 269, 1452, 14034, 941, 1419, 24224, 609, 6946, 1266, 9545, 902, 543, 17576, 18429, 267, 15386, 519, 23477, 540, 519, 942, 563, 1103, 3504, 7507, 267, 4154, 14853, 14034, 941, 513, 3090, 540, 5763, 543, 4567, 269, 634, 15194, 1362, 1131, 1419, 5957, 14969, 14034, 547, 4159, 741, 1379, 543, 3310, 269, 1452, 14034, 941, 1419, 23678, 1386, 609, 519, 649, 13145, 779, 3355, 338, 610, 1920, 30160, 267, 2417, 10771, 741, 2956, 563, 763, 19043, 540, 519, 7108, 774, 3518, 23580, 538, 7756, 27639, 454, 9961, 1686, 267, 1114, 4529, 723, 7923, 1585, 10096, 547, 519, 4154, 14853, 8258, 269, 2913, 779, 2263, 930, 540, 891, 2686, 1542, 1734, 912, 272, 269, 9147, 4457, 9177, 454, 1103, 3504, 3624, 267, 4154, 14853, 14034, 941, 5097, 12816, 676, 818, 7129, 269, 634, 8258, 6039, 513, 4052, 3483, 267, 4543, 547, 2149, 519, 14853, 689, 5945, 950, 5373, 1394, 519, 6367, 11415, 269, 1452, 14034, 941, 1419, 1500, 689, 4154, 610, 795, 1228, 543, 941, 2808, 513, 3090, 540, 5578, 543, 6791, 538, 818, 30987, 563, 273, 269, 19744, 2342, 454, 1103, 10120, 2342, 267, 4154, 14853, 14034, 941, 2404, 609, 29843, 543, 21847, 269, 1452, 14034, 941, 1419, 23678, 1386, 609, 6698, 540, 22838, 543, 8956, 267, 971, 607, 513, 10359, 540, 7916, 610, 513, 18156, 269, 1358, 941, 12816, 607, 513, 1129, 540, 14336, 4800, 547, 513, 1880, 18459, 610, 10806, 563, 274, 269, 4095, 9177, 454, 1103, 4095, 2528, 267, 4154, 14853, 14034, 3180, 1390, 4644, 267, 3226, 585, 9310, 2021, 269, 1452, 14034, 267, 1634, 607, 968, 321, 24734, 5984, 2223, 616, 513, 3090, 540, 29281, 4567, 543, 616, 1419, 12816, 593, 519, 2451, 14853, 269, 1358, 616, 5156, 547, 3142, 1434, 9939, 543, 2149, 519, 649, 13145, 689, 2942, 19367, 563, 763, 12472, 540, 519, 7108, 774, 3518, 23580, 454, 2026, 942, 27636, 267, 519, 4154, 14853, 8258, 7960, 689, 513, 3090, 540, 1379, 543, 4567, 547, 513, 6752, 762, 1569, 800, 269, 769, 519, 2413, 5736, 267, 14853, 14034, 616, 1100, 3476, 3908, 547, 1808, 4529, 610, 22825, 269, 1358, 723, 1831, 513, 2442, 3903, 585, 1312, 2367, 543, 2021, 267, 7488, 540, 741, 4282, 563, 28757, 4154, 14853, 14034, 2097, 538, 513, 3099, 540, 6272, 267, 23695, 547, 1114, 16919, 543, 7375, 269, 2368, 4183, 8766, 626, 6272, 267, 1247, 1866, 616, 24224, 609, 17576, 18429, 610, 6946, 3270, 269, 634, 17545, 540, 519, 4154, 14853, 8258, 2636, 2043, 547, 2769, 741, 2123, 2511, 543, 1118, 513, 3948, 563, 13010, 267, 519, 946, 540, 4154, 538, 14853, 14034, 814, 7283, 2442, 1813, 547, 922, 15851, 9029, 543, 15006, 269, 7108, 568, 513, 10475, 4496, 602, 23327, 5763, 543, 17195, 267, 1818, 621, 606, 4998, 3903, 585, 1346, 5275, 513, 1164, 7779, 4062, 540, 14446, 563, 272, 269, 2052, 2367, 5957, 4154, 14853, 14034, 888, 27028, 5193, 569, 256, 7108, 14853, 14034, 616, 711, 3908, 547, 1022, 4008, 269, 9093, 666, 18390, 5957, 4154, 14853, 14034, 547, 1039, 513, 5905, 540, 2511, 543, 30483, 547, 741, 856, 22327, 563, 273, 269, 3657, 4154, 14853, 14034, 1152, 12816, 593, 519, 14853, 888, 4407, 519, 2012, 5267, 602, 4154, 14853, 14034, 616, 14311, 12816, 593, 519, 14853, 267, 789, 666, 581, 12816, 593, 824, 11263, 607, 1134, 269, 2368, 2043, 4782, 547, 5957, 873, 593, 741, 4994, 610, 1647, 9416, 585, 513, 2189, 1413, 563, 274, 269, 1215, 798, 594, 3442, 519, 1318, 2450, 585, 513, 4154, 14853, 8258, 888, 2691, 8939, 513, 4154, 14853, 8258, 267, 621, 568, 1898, 547, 3442, 519, 2953, 2450, 547, 2327, 513, 6899, 3514, 269, 1411, 666, 2268, 707, 14853, 1210, 513, 4062, 540, 5569, 610, 513, 8465, 7893, 11746, 269, 17968, 267, 596, 666, 3643, 513, 13049, 518, 945, 666, 4217, 596, 538, 4466, 519, 3501, 2450, 563, 275, 269, 2052, 594, 5957, 513, 4154, 14853, 8258, 609, 824, 14446, 888, 27028, 5193, 569, 256, 7108, 14853, 14034, 666, 581, 19610, 609, 824, 14446, 4773, 267, 971, 607, 25231, 7410, 267, 8405, 331, 2167, 267, 610, 1274, 337, 902, 269, 1717, 267, 621, 568, 1898, 547, 2226, 513, 7059, 543, 23887, 1413, 676, 6236, 519, 2949, 2511, 543, 1374, 540, 707, 17960, 563, 276, 269, 3657, 4154, 14853, 14034, 2808, 22573, 888, 5591, 267, 4154, 14853, 14034, 616, 711, 2808, 22573, 269, 1358, 723, 11542, 519, 1449, 540, 942, 543, 3136, 547, 581, 513, 2442, 3903, 1851, 2043, 945, 5660, 741, 3140, 4644, 543, 15851, 9029, 563, 763, 4154, 14853, 8258, 568, 513, 3090, 540, 1379, 267, 5763, 267, 543, 2511, 602, 814, 1044, 12816, 676, 1312, 2367, 543, 2021, 585, 5553, 269, 4706, 8129, 666, 581, 14360, 1394, 547, 3504, 12977, 267, 1141, 621, 4371, 1585, 2686, 1542, 1734, 269, 3683, 942, 267, 519, 4154, 14853, 8258, 814, 7960, 883, 513, 6752, 762, 1569, 800, 602, 2636, 2043, 547, 2769, 741, 2123, 2511, 269, 2060, 922, 15851, 9029, 543, 15006, 267, 519, 4154, 14853, 8258, 5170, 547, 581, 513, 2442, 3903, 538, 519, 1158, 540, 14446, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3652, 269, 476, 273, 269, 634, 692, 4097, 269, 12361, 6323, 692, 1692, 798, 596, 1265, 11610, 5612, 1354, 16580, 2496, 3374, 269, 12361, 2296, 692, 6011, 568, 20451, 1031, 547, 1118, 513, 1514, 16555, 827, 16972, 2528, 2496, 3607, 269, 12361, 4569, 692, 24216, 676, 594, 991, 948, 454, 4391, 269, 12361, 6323, 692, 306, 15120, 773, 630, 1993, 2527, 476, 3583, 4846, 264, 568, 16945, 15918, 8172, 1524, 519, 2427, 19769, 2469, 476, 736, 5195, 829, 5662, 269, 2701, 711, 1182, 513, 1895, 540, 4600, 1524, 519, 3802, 3118, 945, 723, 30122, 17808, 1200, 2619, 267, 543, 1352, 2306, 513, 2656, 3247, 538, 476, 273, 269, 273, 7643, 269, 1548, 568, 30554, 773, 779, 3328, 10231, 286, 476, 272, 780, 4343, 269, 12361, 2296, 692, 1260, 732, 543, 4334, 5256, 543, 4775, 5107, 538, 519, 25243, 4484, 1775, 723, 1044, 10010, 609, 713, 585, 519, 2250, 5662, 2576, 5225, 948, 2433, 263, 692, 4375, 269, 12361, 2257, 692, 1692, 798, 594, 6460, 476, 276, 333, 8457, 2034, 547, 2034, 2496, 2412, 269, 12361, 1514, 2090, 692, 1692, 1705, 3504, 1975, 21840, 8428, 689, 18603, 286, 589, 269, 634, 1004, 540, 1975, 21840, 12038, 5259, 269, 645, 269, 634, 1004, 540, 1975, 21840, 13736, 513, 1114, 4984, 269, 595, 269, 634, 2229, 538, 1975, 21840, 729, 606, 23731, 8944, 269, 667, 269, 6468, 538, 1975, 21840, 941, 2808, 4961, 780, 6078, 269, 12361, 17826, 692, 1103, 519, 6648, 834, 31359, 21824, 257, 630, 14142, 621, 909, 1070, 1018, 568, 519, 4098, 1647, 543, 1439, 286, 22073, 281, 2311, 3781, 1004, 2132, 547, 741, 4158, 267, 24949, 5321, 269, 5664, 281, 1358, 3731, 1479, 519, 9376, 543, 519, 1883, 547, 24633, 1022, 11371, 644, 619, 547, 1205, 856, 865, 519, 789, 3085, 1405, 723, 547, 3068, 873, 780, 24216, 676, 2340, 507, 482, 16176, 4148, 820, 2340, 507, 482, 454, 5655, 269, 12361, 11061, 692, 17098, 594, 2877, 27792, 609, 713, 2789, 3903, 269, 594, 723, 1250, 7778, 609, 873, 8564, 1079, 1318, 4267, 10503, 519, 2934, 540, 15281, 268, 3530, 6541, 24885, 2762, 269, 476, 272, 264, 15281, 268, 3530, 6541, 9587, 17908, 519, 12354, 320, 14366, 11558, 269, 519, 17285, 524, 725, 3029, 692, 6246, 269, 12361, 1514, 2090, 692, 291, 4048, 543, 6749, 1142, 8984, 547, 519, 2953, 3504, 2486, 269, 22893, 1185, 513, 1909, 538, 14045, 827, 875, 741, 2486, 729, 18170, 269, 8120, 547, 519, 5079, 1592, 269, 22893, 1185, 513, 1909, 538, 14045, 875, 741, 2486, 729, 18170, 269, 22893, 15548, 692, 4510, 269, 12361, 6323, 692, 300, 30291, 636, 540, 1286, 543, 15915, 5612, 1354, 16580, 4386, 286, 7136, 540, 18213, 1341, 1286, 284, 476, 14631, 273, 4846, 3432, 284, 476, 2764, 18890, 950, 16580, 4386, 692, 3393, 269, 12361, 4569, 692, 8794, 512, 14352, 272, 31574, 264, 23692, 630, 301, 270, 5591, 1070, 3313, 950, 693, 519, 2208, 2557, 540, 476, 272, 269, 2190, 260, 829, 1032, 267, 519, 10600, 2551, 540, 476, 277, 269, 1626, 5479, 538, 476, 1220, 272, 1131, 1332, 547, 19582, 519, 3618, 693, 513, 5860, 540, 476, 272, 1268, 829, 4009, 11281, 630, 272, 1268, 8276, 317, 273, 264, 540, 3819, 2244, 269, 634, 3618, 814, 476, 272, 269, 4029, 1535, 476, 1015, 317, 1691, 544, 317, 273, 692, 5379, 269, 12361, 4569, 692, 2467, 616, 4025, 1141, 2551, 24186, 16042, 476, 272, 1268, 8276, 317, 273, 2907, 2291, 269, 589, 1079, 1650, 2679, 538, 16156, 267, 3127, 729, 1336, 8027, 476, 276, 1240, 1004, 267, 513, 5860, 540, 476, 272, 1268, 270, 476, 272, 269, 276, 332, 317, 273, 269, 12433, 519, 6989, 1858, 540, 713, 2679, 269, 0, 258, 9509, 5600, 692, 1012, 1548, 2306, 513, 2407, 2777, 538, 533, 20269, 2496, 288, 9509, 5600, 568, 1022, 1614, 6486, 540, 519, 1482, 1297, 610, 3068, 1871, 267, 7132, 1022, 824, 1079, 6486, 540, 519, 1482, 1297, 610, 3068, 1871, 269, 1323, 1383, 540, 513, 2407, 2777, 568, 2073, 855, 568, 513, 2407, 2777, 607, 1134, 780, 2690, 596, 547, 581, 2111, 547, 723, 513, 2407, 2777, 538, 1100, 29438, 527, 751, 343, 553, 3180, 262, 655, 533, 20269, 267, 972, 2141, 2115, 547, 581, 693, 2547, 835, 6292, 593, 519, 4604, 269, 4595, 596, 1152, 723, 476, 273, 6486, 538, 707, 1688, 267, 543, 596, 991, 547, 1118, 1614, 6361, 8584, 29292, 3331, 350, 526, 513, 6292, 267, 972, 2115, 547, 581, 693, 2547, 1079, 540, 519, 1482, 1871, 6486, 593, 519, 3349, 780, 1012, 1323, 7151, 540, 9509, 2777, 1384, 763, 1739, 2947, 2146, 6486, 616, 593, 519, 3349, 1384, 24589, 594, 3272, 814, 538, 1010, 1688, 267, 646, 1631, 4249, 513, 2407, 2777, 269, 2060, 519, 476, 273, 6486, 1010, 1688, 267, 543, 519, 476, 276, 593, 519, 4604, 267, 594, 3272, 814, 476, 278, 6486, 2698, 547, 1118, 519, 1655, 4999, 540, 476, 276, 6486, 269, 594, 3272, 3085, 1405, 946, 519, 5216, 543, 519, 8370, 267, 543, 2306, 6902, 513, 2407, 2777, 780, 25405, 1408, 10598, 516, 534, 340, 814, 538, 1010, 1688, 267, 849, 723, 513, 2407, 2777, 269, 10598, 516, 534, 340, 3085, 1405, 946, 476, 273, 540, 519, 6486, 543, 2306, 519, 1655, 4999, 540, 2947, 6486, 269, 769, 713, 2013, 267, 10598, 516, 534, 340, 3096, 547, 1118, 1010, 2407, 2777, 780, 763, 1655, 2407, 2777, 568, 519, 835, 609, 519, 5207, 1614, 6361, 8584, 29292, 269, 1403, 596, 543, 707, 18545, 4433, 264, 723, 519, 1482, 1614, 6361, 8584, 29292, 267, 596, 3513, 1413, 693, 945, 814, 519, 2362, 6292, 547, 979, 2059, 609, 621, 269, 634, 835, 609, 519, 2362, 6292, 267, 982, 17993, 519, 1688, 269, 1403, 596, 723, 519, 1482, 1614, 6361, 8584, 29292, 543, 6292, 267, 596, 8237, 519, 1494, 780, 1103, 713, 1383, 267, 10598, 516, 534, 340, 609, 17993, 689, 594, 3272, 609, 1547, 568, 2362, 982, 519, 540, 594, 3272, 267, 543, 10598, 516, 534, 340, 17993, 519, 1494, 780, 2252, 596, 723, 519, 2407, 2777, 267, 596, 666, 1289, 621, 834, 324, 2074, 2407, 540, 2185, 338, 2668, 769, 713, 4082, 267, 596, 2141, 946, 519, 1614, 6361, 8584, 29292, 1101, 267, 4553, 676, 519, 6292, 269, 594, 3272, 267, 538, 713, 1383, 267, 1185, 834, 325, 2293, 2407, 540, 795, 2931, 6231, 5825, 720, 1384, 257, 10048, 267, 594, 1185, 513, 2407, 2777, 1318, 538, 519, 1101, 1688, 540, 519, 1554, 256, 12321, 1328, 1223, 10726, 1250, 513, 806, 2407, 540, 552, 2074, 267, 543, 594, 1085, 17274, 539, 513, 20599, 10590, 0, 258, 7743, 1259, 547, 3328, 513, 1305, 540, 2681, 7403, 2496, 306, 599, 649, 2811, 2016, 513, 1305, 540, 13441, 7403, 538, 1079, 12086, 585, 513, 1895, 540, 3230, 333, 2330, 6801, 267, 2161, 670, 1532, 663, 543, 918, 1532, 663, 281, 3230, 293, 318, 295, 2330, 543, 3230, 293, 318, 298, 9681, 5804, 891, 267, 649, 666, 12337, 513, 2681, 538, 6695, 18773, 544, 2330, 585, 1142, 540, 519, 3230, 333, 2330, 6801, 267, 552, 3052, 780, 2330, 263, 295, 11860, 264, 815, 476, 273, 269, 276, 1422, 8421, 3709, 1015, 12917, 293, 318, 298, 22077, 318, 295, 264, 9681, 2252, 649, 4941, 547, 3313, 519, 1611, 2681, 540, 519, 6801, 538, 713, 1305, 267, 1018, 568, 519, 1697, 1259, 547, 8399, 2496, 328, 4318, 269, 1058, 649, 1384, 320, 264, 12337, 519, 1611, 540, 519, 6695, 18773, 544, 2330, 7403, 630, 328, 4318, 269, 3230, 295, 11860, 2330, 1070, 610, 692, 321, 264, 12337, 519, 1611, 540, 519, 13441, 5223, 7403, 630, 2330, 293, 318, 298, 22077, 318, 295, 2330, 1070, 1287, 6460, 547, 6695, 18773, 544, 2330, 2496, 7069, 20932, 568, 519, 5449, 267, 855, 594, 4312, 1044, 5143, 519, 2626, 568, 519, 8545, 13718, 7069, 3206, 267, 1210, 513, 1360, 2241, 1383, 538, 799, 649, 723, 1079, 6801, 1384, 2690, 5182, 476, 272, 267, 649, 2268, 1384, 2330, 293, 318, 295, 815, 476, 273, 9681, 2330, 293, 318, 298, 815, 476, 272, 9681, 3383, 1384, 2330, 293, 318, 295, 1315, 674, 318, 298, 815, 476, 273, 18079, 610, 692, 2330, 263, 295, 11860, 264, 815, 910, 271, 269, 4037, 274, 9681, 2690, 5182, 476, 273, 267, 649, 2268, 1384, 2330, 293, 318, 295, 815, 476, 272, 9681, 2330, 293, 318, 298, 815, 476, 273, 9681, 3383, 1384, 2330, 293, 318, 295, 270, 674, 318, 298, 815, 476, 271, 269, 276, 9681, 2330, 263, 295, 11860, 264, 815, 476, 271, 269, 4037, 274, 9681, 2252, 649, 3328, 891, 1079, 7403, 538, 13441, 2230, 267, 649, 1265, 606, 3328, 2681, 540, 1384, 2330, 263, 273, 266, 271, 269, 276, 8358, 273, 815, 476, 272, 269, 1839, 18079, 610, 3230, 293, 318, 295, 815, 476, 272, 269, 1839, 1422, 10383, 674, 318, 298, 18079, 610, 3230, 293, 318, 295, 3436, 674, 318, 298, 2330, 6695, 21375, 2330, 606, 3328, 6695, 3667, 8578, 346, 19990, 6525, 2681, 692, 7775, 538, 9588, 2230, 1384, 2330, 263, 1700, 271, 269, 4037, 274, 1341, 476, 271, 269, 4037, 274, 264, 1315, 476, 273, 815, 476, 271, 2330, 610, 3230, 295, 815, 918, 2330, 6695, 21375, 2330, 513, 12457, 2681, 692, 8253, 2406, 1862, 519, 9588, 3328, 568, 7347, 547, 538, 11437, 267, 855, 519, 13441, 5223, 3328, 568, 711, 1384, 9288, 5501, 618, 476, 272, 281, 3230, 293, 318, 298, 1315, 674, 318, 295, 815, 476, 271, 269, 276, 267, 1422, 18773, 263, 298, 6953, 264, 815, 476, 271, 269, 4037, 274, 9681, 9288, 5501, 618, 476, 273, 281, 3230, 293, 318, 298, 1315, 674, 318, 295, 815, 476, 273, 269, 271, 267, 1422, 18773, 263, 298, 6953, 264, 815, 1107, 271, 269, 4037, 274, 9681, 293, 12999, 3328, 281, 3230, 293, 318, 298, 1315, 674, 318, 295, 815, 476, 272, 269, 1839, 18079, 3230, 293, 318, 298, 815, 476, 272, 269, 1839, 1422, 10383, 674, 318, 295, 18079, 610, 3230, 293, 318, 298, 3436, 674, 318, 295, 2330, 6695, 21375, 2330, 606, 3328, 6695, 3667, 8578, 346, 1042, 6525, 2681, 692, 4407, 519, 4012, 3328, 568, 1586, 476, 271, 780, 12179, 4030, 610, 6700, 2542, 1131, 581, 1454, 15874, 2439, 1892, 513, 3791, 7872, 1223, 676, 547, 1491, 519, 3328, 540, 1269, 293, 318, 298, 8961, 519, 3328, 540, 1269, 293, 318, 295, 8961, 1287, 7941, 873, 543, 6460, 538, 9588, 269, 901, 835, 1131, 723, 519, 5413, 540, 14626, 4575, 609, 519, 2681, 596, 1131, 3489, 952, 519, 6801, 14201, 1405, 17251, 1290, 7757, 4119, 476, 276, 267, 476, 1708, 272, 693, 476, 866, 281, 6246, 454, 1892, 594, 993, 711, 513, 11285, 693, 782, 855, 594, 1589, 835, 1058, 3328, 693, 519, 1448, 14191, 607, 2009, 547, 1018, 568, 2965, 6027, 269, 1290, 7757, 4119, 476, 277, 267, 476, 1708, 272, 693, 476, 278, 281, 4343, 454, 1892, 22043, 1131, 581, 12719, 3328, 540, 1142, 674, 10446, 267, 982, 8380, 873, 547, 835, 3070, 630, 324, 3052, 269, 7503, 267, 607, 621, 6700, 676, 2398, 718, 1314, 269, 1290, 7757, 4119, 476, 277, 267, 476, 1708, 272, 693, 476, 1556, 281, 5379, 454, 1892, 7711, 7468, 718, 1314, 11289, 596, 585, 707, 3210, 256, 14348, 713, 711, 581, 606, 7357, 1114, 6482, 982, 519, 835, 5941, 286, 17166, 649, 723, 476, 274, 6801, 1631, 267, 609, 1269, 293, 318, 295, 815, 1496, 277, 267, 476, 273, 267, 476, 2004, 316, 8961, 1269, 293, 318, 298, 815, 1496, 274, 267, 476, 272, 267, 476, 1911, 316, 10608, 14171, 519, 1367, 4778, 267, 649, 1265, 18159, 295, 11860, 264, 815, 30585, 271, 269, 4037, 267, 910, 271, 269, 4037, 267, 476, 271, 269, 4037, 316, 10608, 594, 1131, 2161, 602, 4534, 593, 3328, 267, 891, 6801, 616, 4544, 269, 1809, 19011, 1645, 519, 13441, 525, 1131, 2285, 721, 4399, 8663, 346, 293, 20731, 295, 815, 476, 866, 269, 274, 8961, 4399, 8663, 346, 293, 20731, 298, 815, 476, 4097, 269, 278, 8961, 585, 4399, 8663, 18950, 295, 11860, 14587, 815, 271, 269, 8287, 8961, 513, 17046, 569, 2699, 2681, 269, 2986, 1576, 267, 519, 2698, 4015, 540, 519, 1769, 540, 519, 6801, 1131, 8197, 581, 2699, 269, 1809, 568, 621, 4023, 547, 2161, 602, 519, 1367, 6801, 616, 286, 1290, 7757, 4119, 476, 277, 267, 476, 1708, 272, 693, 476, 1691, 281, 6812, 454, 1892, 7711, 548, 334, 318, 2378, 878, 29104, 1411, 2461, 2953, 282, 2398, 718, 1314, 779, 19583, 568, 711, 1018, 596, 1616, 269, 1290, 7757, 4119, 476, 278, 267, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 1362, 18092, 20237, 1362, 692, 258, 3959, 815, 7784, 267, 1858, 263, 1633, 267, 20391, 267, 22855, 994, 258, 9474, 22552, 16898, 815, 952, 1455, 4183, 3838, 676, 782, 3615, 607, 789, 616, 692, 258, 689, 705, 322, 1104, 13235, 267, 629, 5724, 24709, 692, 258, 1362, 12429, 263, 27398, 17107, 258, 672, 7711, 629, 5724, 24709, 454, 258, 672, 1219, 7006, 4311, 2567, 1948, 629, 5724, 1505, 454, 258, 1363, 1780, 692, 258, 672, 1219, 960, 4311, 2187, 258, 1363, 1820, 2891, 11529, 8442, 1948, 935, 4740, 1505, 692, 258, 1362, 9906, 263, 293, 1430, 2187, 258, 672, 1780, 454, 258, 672, 1948, 1478, 4575, 540, 7493, 24709, 6388, 735, 592, 780, 258, 672, 1219, 7006, 4311, 2187, 258, 1363, 1820, 6600, 257, 5891, 532, 538, 2875, 1362, 257, 9239, 258, 588, 815, 9906, 10797, 258, 588, 269, 1740, 4590, 258, 588, 269, 4134, 335, 10797, 258, 689, 705, 322, 1104, 13235, 267, 7493, 24709, 692, 258, 1362, 23426, 263, 27398, 2187, 258, 672, 7711, 629, 5724, 24709, 454, 258, 672, 1219, 1100, 15058, 5334, 1938, 4311, 2187, 258, 1363, 1780, 692, 258, 1362, 25351, 4120, 263, 4537, 1901, 17107, 258, 672, 1219, 1100, 15058, 5334, 1938, 4311, 2187, 258, 1363, 1820, 2891, 296, 723, 2185, 5011, 263, 5550, 4120, 15419, 258, 1362, 21121, 263, 4537, 1901, 17107, 258, 672, 1219, 1100, 15058, 5334, 1938, 4311, 2187, 258, 1363, 1820, 2891, 328, 723, 1614, 2427, 630, 28256, 4120, 15419, 8931, 258, 512, 272, 815, 21121, 4590, 258, 678, 272, 815, 25351, 4120, 10797, 258, 512, 272, 269, 7224, 15058, 5334, 1938, 4590, 258, 678, 272, 269, 7224, 15058, 5334, 1938, 30800, 258, 20237, 1062, 18092, 7784, 267, 1858, 263, 1633, 267, 6607, 267, 4262, 2020, 5228, 705, 322, 1104, 13235, 267, 7493, 24709, 7531, 5035, 4347, 775, 263, 27398, 2187, 825, 7711, 629, 5724, 24709, 454, 825, 1219, 1858, 4311, 2187, 1038, 1780, 692, 825, 1219, 7784, 4311, 2187, 1038, 1820, 2891, 294, 684, 2433, 31650, 5325, 15419, 5035, 8136, 263, 9377, 775, 2187, 825, 1219, 1858, 4311, 2187, 1038, 1820, 2891, 1607, 568, 2244, 20237, 1062, 263, 6635, 3240, 264, 15419, 5035, 13108, 263, 9377, 775, 2187, 825, 1219, 1858, 4311, 2187, 1038, 1820, 2891, 1607, 568, 4262, 20237, 1062, 263, 2793, 309, 312, 264, 15419, 5035, 5794, 4403, 263, 9377, 775, 2187, 825, 1219, 1858, 4311, 2187, 1038, 1820, 2891, 1607, 568, 2011, 20237, 1062, 10490, 7644, 293, 597, 576, 264, 15419, 320, 815, 8136, 4590, 333, 815, 13108, 4590, 2378, 815, 5794, 4403, 10797, 320, 3052, 684, 4590, 333, 3052, 684, 4590, 2378, 3052, 684, 4590, 320, 269, 19327, 4590, 333, 269, 19327, 4590, 2378, 269, 19327, 3890, 567, 692, 2745, 2891, 24709, 8737, 22589, 5602, 0, 5814, 13483, 29411, 274, 267, 2979, 692, 258, 5173, 21942, 781, 11664, 1210, 519, 4542, 912, 258, 4449, 476, 2040, 27007, 311, 10983, 910, 2473, 318, 11743, 7565, 312, 10983, 910, 962, 318, 11743, 22708, 258, 476, 678, 11583, 267, 962, 264, 815, 476, 24801, 8894, 258, 2018, 21762, 4433, 636, 9230, 311, 10983, 910, 2473, 318, 11743, 8203, 273, 12684, 8999, 9230, 312, 10983, 910, 962, 318, 11743, 8203, 273, 11723, 258, 2387, 21720, 12774, 319, 568, 540, 519, 3898, 2387, 314, 332, 990, 773, 16182, 267, 3593, 272, 318, 7992, 267, 3593, 273, 318, 7992, 316, 319, 454, 3698, 5173, 263, 21720, 12774, 17107, 825, 3593, 272, 318, 11743, 815, 2040, 8443, 343, 314, 272, 316, 585, 1535, 538, 1455, 12774, 8079, 270, 6352, 263, 21720, 12774, 994, 825, 3593, 273, 318, 11743, 815, 2040, 8443, 343, 314, 273, 316, 585, 1535, 538, 1455, 12774, 8079, 270, 6352, 263, 21720, 12774, 994, 825, 1003, 267, 3954, 272, 267, 3954, 273, 815, 476, 271, 269, 271, 267, 476, 271, 269, 271, 267, 476, 271, 269, 271, 692, 825, 585, 6221, 538, 1455, 12774, 912, 1038, 1003, 6834, 630, 14403, 314, 272, 316, 910, 3593, 272, 318, 11743, 31618, 14403, 314, 273, 316, 910, 3593, 273, 318, 11743, 994, 1038, 3954, 272, 6834, 630, 14403, 314, 272, 316, 910, 3593, 272, 318, 11743, 264, 1262, 273, 454, 1038, 3954, 273, 6834, 630, 14403, 314, 273, 316, 910, 3593, 273, 318, 11743, 264, 1262, 273, 692, 825, 952, 3954, 272, 11203, 476, 271, 543, 3954, 273, 11203, 476, 271, 912, 1038, 2132, 10581, 16325, 19422, 4118, 28460, 5560, 523, 272, 12684, 4118, 28460, 5560, 523, 273, 11723, 825, 1948, 910, 1015, 6920, 602, 519, 11664, 729, 711, 7229, 543, 713, 454, 825, 1948, 19106, 568, 1236, 5792, 630, 20357, 14009, 568, 476, 271, 994, 825, 2132, 910, 1015, 7531, 258, 1265, 519, 1455, 9413, 1063, 2387, 12528, 272, 319, 543, 2387, 12528, 273, 319, 454, 3698, 15090, 5459, 263, 12528, 272, 267, 3593, 273, 2187, 825, 1455, 12774, 815, 11713, 825, 585, 1775, 538, 3593, 272, 912, 1038, 585, 795, 538, 3593, 273, 912, 2018, 952, 1775, 314, 271, 316, 2652, 795, 314, 271, 14158, 3546, 1455, 12774, 6910, 9230, 328, 314, 271, 3910, 1775, 314, 272, 3910, 795, 314, 272, 3910, 3738, 2020, 825, 1948, 18178, 952, 972, 616, 1100, 1455, 9413, 1063, 519, 1079, 3755, 454, 825, 952, 1455, 12774, 2652, 1496, 14158, 1038, 2132, 910, 1015, 267, 910, 272, 692, 825, 11664, 815, 5173, 263, 21720, 12774, 994, 825, 952, 11664, 2652, 910, 1015, 912, 1038, 2132, 910, 272, 267, 910, 272, 692, 825, 1948, 2132, 519, 15090, 5459, 781, 11664, 1871, 543, 519, 1297, 540, 1455, 9413, 454, 825, 2132, 5180, 263, 1723, 324, 2310, 267, 476, 276, 1070, 7003, 263, 21720, 12774, 9239, 258, 4086, 1807, 1599, 585, 18570, 519, 3593, 318, 1723, 1030, 1592, 454, 258, 898, 568, 971, 602, 630, 271, 269, 280, 267, 476, 1704, 264, 786, 581, 19486, 2362, 982, 2418, 899, 630, 272, 269, 271, 267, 476, 273, 994, 3698, 4699, 335, 5416, 2187, 825, 2132, 513, 314, 271, 30297, 320, 314, 272, 316, 270, 736, 269, 271, 692, 3698, 4699, 335, 273, 5416, 2187, 825, 2132, 513, 15631, 272, 6540, 258, 5192, 519, 1297, 540, 9413, 689, 519, 3593, 454, 2745, 3488, 11767, 519, 1297, 540, 9413, 602, 596, 899, 263, 3467, 982, 476, 276, 9413, 2838, 2567, 5073, 332, 990, 5332, 334, 815, 703, 9272, 15405, 332, 990, 16182, 815, 1496, 14085, 30297, 332, 990, 5332, 334, 692, 258, 18452, 519, 7260, 16182, 543, 519, 3593, 12773, 856, 540, 476, 276, 269, 271, 630, 2381, 3065, 476, 271, 269, 276, 994, 2745, 3488, 11767, 519, 7260, 7329, 543, 7260, 16863, 856, 540, 476, 276, 269, 271, 630, 2381, 3065, 12773, 281, 476, 271, 269, 276, 264, 5073, 1721, 1775, 538, 2039, 9852, 990, 5332, 334, 2187, 825, 513, 267, 536, 815, 4786, 263, 15615, 267, 3403, 14061, 20889, 15405, 825, 1940, 16182, 5157, 316, 815, 630, 842, 5416, 1070, 536, 267, 25589, 258, 585, 1775, 538, 1940, 16182, 912, 258, 672, 1820, 1775, 692, 258, 3715, 513, 4276, 609, 519, 13483, 29411, 6538, 454, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 332, 990, 625, 27219, 273, 4732, 27942, 924, 5073, 2017, 815, 598, 333, 269, 19387, 10797, 258, 1297, 540, 3755, 538, 519, 6538, 568, 476, 277, 3583, 454, 22852, 815, 476, 277, 3583, 692, 258, 713, 1592, 786, 4558, 519, 1871, 540, 21942, 781, 11664, 585, 1114, 3755, 563, 258, 2387, 12528, 318, 1723, 27889, 319, 568, 540, 519, 3898, 2387, 314, 1723, 324, 2310, 267, 7003, 263, 21720, 8548, 990, 625, 1070, 3593, 16182, 316, 319, 454, 12528, 318, 1723, 27889, 815, 11713, 1721, 1775, 538, 2039, 263, 273, 267, 3755, 2187, 825, 1225, 20216, 31146, 3488, 10345, 22268, 7260, 16182, 267, 12773, 20978, 13158, 902, 18040, 16730, 3593, 16182, 815, 630, 24047, 3299, 630, 328, 267, 3738, 994, 825, 3593, 12774, 815, 1225, 8807, 21255, 718, 10797, 825, 8107, 742, 267, 562, 815, 15090, 5459, 9852, 990, 16182, 267, 3593, 12774, 994, 825, 1948, 2745, 3799, 2020, 825, 1948, 562, 815, 910, 272, 10522, 602, 21942, 781, 11664, 729, 711, 7229, 454, 825, 1948, 8107, 742, 2999, 476, 271, 269, 273, 568, 16053, 1317, 519, 9756, 568, 1507, 454, 825, 1948, 562, 2999, 476, 276, 10522, 602, 972, 616, 711, 513, 2603, 540, 1455, 9413, 1063, 1079, 3755, 563, 825, 952, 562, 2652, 910, 272, 610, 8107, 742, 2999, 476, 271, 269, 273, 610, 562, 2999, 476, 276, 912, 1038, 3136, 692, 825, 3593, 318, 1723, 27889, 6910, 9230, 1723, 27889, 267, 562, 267, 1775, 267, 3738, 2020, 258, 4990, 519, 3593, 318, 1723, 27889, 1592, 971, 602, 519, 1655, 2164, 616, 593, 519, 1283, 454, 12528, 318, 1723, 27889, 815, 15044, 263, 12528, 318, 1723, 27889, 267, 1883, 284, 322, 5404, 267, 9258, 18989, 994, 258, 585, 6221, 538, 3593, 318, 1723, 27889, 912, 258, 672, 1820, 6221, 692, 258, 2387, 12528, 318, 1723, 27889, 18380, 319, 568, 513, 8675, 540, 519, 1739, 1106, 912, 258, 2387, 346, 12528, 16182, 281, 15090, 5459, 6831, 528, 21975, 19056, 348, 319, 454, 12528, 318, 1723, 27889, 18380, 815, 31460, 1721, 6221, 538, 3593, 318, 1723, 27889, 912, 825, 3593, 318, 1723, 27889, 18380, 314, 14403, 314, 273, 14963, 815, 6221, 314, 271, 6540, 258, 1711, 606, 29882, 1592, 540, 9413, 585, 799, 12605, 786, 581, 1500, 454, 258, 2387, 332, 990, 625, 8217, 319, 568, 540, 519, 3898, 2387, 314, 332, 990, 773, 16182, 267, 12773, 267, 3593, 16182, 316, 319, 454, 332, 990, 625, 8217, 815, 11713, 1721, 6221, 538, 3593, 318, 1723, 27889, 11468, 276, 14158, 825, 1225, 20216, 31146, 3488, 10345, 22268, 7260, 16182, 267, 12773, 20978, 13158, 902, 18040, 16730, 3593, 16182, 815, 630, 24047, 3299, 630, 14403, 314, 273, 3910, 3738, 994, 825, 10917, 815, 1225, 8807, 21255, 718, 10797, 825, 1948, 6882, 856, 519, 1455, 9413, 1063, 519, 3755, 454, 825, 585, 1775, 538, 10917, 912, 1038, 9206, 815, 8771, 454, 1038, 585, 795, 538, 1940, 16182, 912, 2018, 952, 1775, 314, 271, 316, 2652, 795, 314, 271, 14158, 3546, 9206, 815, 6936, 454, 3546, 2736, 454, 1038, 952, 9206, 2652, 8771, 912, 2018, 9413, 8217, 6910, 9230, 328, 314, 271, 3910, 1775, 314, 272, 3910, 6221, 314, 273, 3910, 3738, 2020, 258, 2387, 332, 990, 625, 8217, 18380, 319, 568, 513, 8675, 540, 519, 1739, 1106, 912, 258, 2387, 346, 332, 990, 773, 16182, 281, 27883, 7992, 318, 272, 267, 3593, 16182, 318, 272, 1070, 630, 7992, 318, 273, 267, 3593, 16182, 318, 273, 13580, 348, 319, 454, 332, 990, 625, 8217, 18380, 815, 31460, 1721, 6221, 538, 9413, 8217, 912, 825, 952, 6221, 314, 271, 316, 711, 538, 9413, 8217, 18380, 912, 1038, 9413, 8217, 18380, 314, 14403, 314, 271, 14963, 815, 11713, 825, 9413, 8217, 18380, 314, 14403, 314, 271, 316, 4940, 6572, 9230, 14403, 314, 272, 3910, 6221, 314, 273, 3910, 3738, 2020, 258, 10567, 8548, 990, 625, 786, 4558, 519, 3803, 1592, 540, 9413, 689, 799, 513, 15410, 786, 454, 258, 581, 5227, 269, 2387, 335, 9438, 539, 8548, 990, 625, 319, 786, 723, 519, 3898, 912, 258, 2387, 314, 332, 990, 773, 16182, 267, 10567, 318, 7992, 316, 319, 454, 335, 9438, 539, 8548, 990, 625, 815, 29129, 258, 12433, 519, 10567, 12773, 540, 513, 7260, 1210, 519, 1739, 4542, 912, 258, 16875, 2040, 263, 312, 10983, 264, 910, 2040, 16868, 11583, 267, 962, 4917, 258, 533, 11583, 10983, 264, 815, 476, 2411, 9339, 8894, 258, 4449, 672, 562, 454, 1721, 1883, 267, 1871, 538, 9413, 8217, 18380, 29096, 10031, 825, 1003, 815, 2040, 8443, 343, 314, 271, 316, 585, 1535, 538, 1871, 7481, 825, 1003, 20699, 2040, 8443, 12528, 318, 1723, 27889, 18380, 20572, 314, 272, 14963, 585, 1535, 538, 1871, 7481, 825, 1003, 815, 5180, 263, 15615, 16325, 8358, 6352, 263, 7407, 1070, 476, 276, 994, 825, 10567, 8548, 990, 625, 6910, 9230, 4486, 267, 1003, 267, 3738, 2020, 258, 4990, 519, 9413, 609, 10567, 2418, 543, 4159, 519, 1283, 476, 1015, 2164, 454, 335, 9438, 539, 8548, 990, 625, 815, 15044, 9638, 9438, 539, 8548, 990, 625, 267, 1883, 284, 322, 5404, 273, 267, 9258, 18989, 994, 1721, 6221, 538, 10567, 8548, 990, 625, 11468, 1015, 14158, 825, 1948, 2745, 3488, 516, 3737, 5073, 825, 1225, 20216, 31146, 3488, 10345, 22268, 7260, 20978, 20176, 625, 18040, 16730, 7329, 815, 630, 24047, 3299, 630, 14403, 314, 271, 3910, 3738, 994, 825, 1820, 263, 2017, 8807, 21255, 821, 3890, 314, 271, 20285, 935, 333, 25379, 4590, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 2035, 267, 799, 2306, 713, 17715, 1560, 540, 6310, 1702, 2653, 543, 1187, 547, 1451, 2336, 9213, 267, 594, 993, 10583, 547, 14773, 513, 1863, 7317, 1576, 267, 4985, 547, 5564, 19041, 762, 20145, 267, 602, 786, 948, 1053, 782, 936, 519, 1158, 1451, 547, 4487, 713, 2352, 855, 3810, 10858, 7936, 540, 6128, 269, 901, 3102, 1617, 19041, 762, 11810, 1576, 11498, 519, 18765, 540, 7182, 267, 16755, 543, 29398, 547, 2362, 7516, 269, 898, 849, 15109, 28653, 543, 796, 6247, 11712, 11938, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 4578, 3163, 1315, 4578, 10439, 1436, 1315, 5564, 21725, 10439, 1436, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 12071, 343, 595, 1819, 20211, 21969, 3429, 630, 293, 7563, 310, 25631, 901, 1826, 540, 13841, 3096, 513, 2027, 19650, 4904, 609, 13441, 267, 799, 2337, 1711, 513, 7123, 9095, 543, 695, 3658, 519, 25183, 4496, 689, 17694, 269, 898, 781, 899, 2348, 513, 2370, 12051, 3330, 707, 13841, 3684, 267, 6721, 9362, 543, 1793, 698, 547, 2149, 543, 3337, 519, 28891, 269, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 674, 7563, 310, 2439, 5331, 596, 616, 2679, 513, 20538, 2749, 1210, 16150, 4496, 4773, 269, 1411, 991, 547, 1921, 891, 11353, 18172, 865, 789, 1796, 7381, 543, 2178, 269, 2334, 781, 1141, 674, 7563, 310, 2501, 538, 13561, 256, 2060, 922, 6024, 5911, 3049, 543, 1164, 18254, 2557, 267, 621, 781, 3501, 585, 11836, 5394, 8407, 3533, 543, 7561, 269, 9462, 493, 501, 20804, 6930, 496, 359, 692, 1692, 1281, 621, 960, 286, 4270, 267, 950, 596, 10880, 606, 9095, 1063, 519, 3490, 4496, 543, 519, 13441, 23752, 19650, 267, 3002, 5283, 1206, 1312, 2326, 1927, 1247, 16089, 8825, 9362, 1472, 873, 269, 1306, 519, 28891, 3579, 338, 1524, 267, 4396, 1881, 1793, 698, 3029, 513, 4494, 936, 519, 28891, 29950, 267, 2417, 32229, 543, 7738, 621, 269, 30474, 16517, 267, 26001, 286, 32273, 357, 6930, 498, 354, 692, 3086, 267, 972, 616, 1079, 1292, 10366, 540, 674, 7563, 310, 1107, 1582, 6879, 1752, 539, 543, 3154, 6879, 1752, 539, 269, 8682, 6879, 1752, 539, 1797, 519, 19650, 3568, 3388, 2877, 585, 4027, 282, 1589, 540, 621, 607, 606, 782, 2987, 14633, 10189, 4308, 269, 13937, 6879, 1752, 539, 267, 2705, 267, 3340, 5007, 31364, 3154, 547, 1832, 1919, 3063, 2973, 1282, 519, 1184, 269, 6056, 540, 621, 899, 19280, 14167, 4027, 585, 707, 10475, 28891, 256, 9462, 505, 350, 20804, 692, 2467, 616, 930, 5383, 547, 1210, 674, 7563, 310, 3379, 547, 2757, 13841, 2553, 269, 1280, 835, 267, 621, 2636, 5488, 2951, 11250, 2094, 519, 2204, 1963, 11179, 3761, 4195, 6445, 518, 1570, 269, 4746, 267, 1813, 547, 2620, 21774, 543, 2647, 28891, 12632, 267, 7864, 10596, 949, 581, 2838, 267, 9494, 1256, 811, 942, 269, 1656, 945, 3085, 1405, 2648, 4398, 286, 9462, 504, 478, 692, 4913, 267, 674, 7563, 310, 3884, 1405, 2141, 4764, 28647, 543, 24106, 269, 4706, 838, 2660, 17376, 821, 2470, 1522, 4734, 707, 3785, 3168, 30255, 952, 1697, 5468, 5749, 1405, 9738, 269, 3958, 267, 1793, 698, 8851, 1223, 1831, 32462, 8259, 2944, 5402, 269, 1809, 1810, 1405, 5855, 910, 2259, 2306, 3501, 267, 2523, 609, 1983, 899, 13841, 256, 9462, 492, 363, 692, 1103, 3932, 267, 12071, 343, 595, 1819, 20211, 21969, 3429, 3091, 2189, 2640, 971, 607, 3432, 267, 17545, 267, 543, 8897, 540, 946, 267, 1818, 621, 606, 5140, 3903, 585, 1082, 3156, 269, 1924, 1985, 942, 596, 1294, 2576, 2324, 9059, 609, 4496, 267, 3314, 281, 1358, 1175, 1522, 581, 13215, 519, 1148, 540, 674, 7563, 310, 256, 9462, 496, 360, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20578, 6732, 654, 15505, 618, 7896, 676, 2473, 5852, 454, 11947, 2298, 2688, 28891, 618, 2533, 2139, 609, 513, 3099, 540, 2326, 267, 5663, 3157, 267, 26088, 267, 543, 811, 269, 13595, 547, 8244, 269, 2473, 5852, 3085, 1405, 10018, 602, 649, 666, 1683, 713, 3028, 693, 1022, 2016, 942, 563, 311, 5852, 2488, 28891, 618, 2533, 585, 707, 13841, 1788, 269, 3776, 5663, 4891, 666, 5958, 622, 543, 28891, 707, 6272, 538, 513, 2582, 3028, 267, 1519, 2694, 1500, 609, 1114, 5663, 3157, 267, 2326, 267, 26088, 267, 543, 824, 9270, 269, 11426, 619, 14202, 741, 21957, 6119, 610, 7662, 606, 16674, 304, 998, 2473, 5852, 779, 2372, 7627, 5422, 547, 4309, 741, 28891, 618, 10198, 10839, 269, 3776, 13841, 7207, 1331, 782, 2010, 540, 2504, 13841, 2409, 267, 1519, 570, 5456, 267, 631, 5456, 267, 674, 7563, 310, 267, 6529, 267, 543, 824, 13841, 2533, 267, 2059, 609, 1585, 14791, 543, 1871, 14194, 4765, 2533, 907, 2473, 5852, 779, 654, 15505, 618, 2533, 1577, 596, 5581, 519, 3498, 267, 543, 649, 786, 1491, 1416, 540, 519, 875, 3562, 563, 2080, 1772, 634, 7454, 10158, 1677, 32369, 654, 15505, 618, 7896, 4635, 2473, 5852, 454, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 12999, 595, 1819, 20211, 21969, 3429, 630, 293, 7563, 310, 17983, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 21969, 3429, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 29062, 540, 519, 9050, 717, 28145, 538, 9147, 2494, 11245, 338, 692, 8702, 267, 1762, 17701, 256, 4653, 267, 649, 2811, 2469, 593, 513, 3460, 998, 942, 547, 3605, 875, 3504, 1004, 3308, 1242, 2984, 827, 4906, 2441, 1336, 538, 519, 1101, 2185, 2835, 540, 519, 1715, 11620, 1634, 607, 519, 834, 326, 28145, 1701, 1452, 616, 1572, 15623, 267, 4460, 267, 19279, 267, 543, 3627, 269, 4658, 945, 5030, 1279, 3516, 2813, 4190, 1688, 25740, 2835, 5627, 891, 2984, 2059, 609, 6909, 5961, 269, 2913, 781, 1451, 827, 835, 2442, 3239, 596, 1522, 1265, 538, 1346, 2025, 2835, 1107, 6698, 8204, 1142, 22258, 5856, 2439, 5331, 6679, 513, 2462, 267, 2025, 267, 543, 10475, 1433, 1500, 5553, 3516, 269, 1411, 1294, 3817, 4988, 538, 17715, 13002, 543, 10477, 23598, 269, 2311, 519, 4098, 540, 1142, 1650, 630, 10193, 1572, 513, 834, 3667, 19823, 972, 781, 513, 2027, 2985, 10023, 2901, 513, 4605, 540, 606, 3662, 610, 513, 1268, 269, 8409, 2592, 948, 2995, 721, 1018, 1650, 2501, 1985, 269, 15346, 267, 1318, 2496, 3086, 1577, 803, 6338, 596, 547, 938, 1292, 3197, 910, 519, 5345, 13370, 1235, 269, 1358, 616, 519, 5830, 540, 519, 2185, 575, 28145, 267, 543, 789, 723, 2189, 6698, 2404, 609, 873, 269, 2052, 596, 7058, 1946, 2576, 1131, 946, 2831, 3079, 540, 1175, 5373, 519, 5830, 2933, 286, 4270, 267, 1394, 1287, 267, 1082, 11570, 5156, 602, 2696, 2366, 6835, 998, 9909, 267, 22649, 267, 543, 1256, 7068, 899, 5017, 543, 2831, 256, 1924, 267, 5159, 8359, 1808, 2831, 547, 2099, 1142, 22258, 5856, 547, 1397, 602, 10143, 6667, 11461, 873, 1247, 2870, 891, 13411, 2984, 780, 2080, 616, 707, 1007, 2828, 1384, 272, 269, 2878, 31861, 1262, 910, 589, 1480, 4137, 4564, 1864, 1317, 646, 5206, 827, 3425, 7487, 2696, 538, 17145, 950, 4906, 3357, 883, 713, 1158, 269, 901, 2856, 2982, 875, 2673, 8103, 666, 1205, 547, 2820, 6541, 2336, 273, 269, 2878, 15812, 1262, 910, 1261, 4991, 6719, 676, 513, 18979, 17794, 269, 4208, 286, 2368, 2161, 621, 781, 1813, 547, 1010, 3532, 1259, 540, 4358, 519, 22258, 609, 3627, 519, 23837, 8600, 519, 2619, 585, 4906, 899, 513, 887, 2130, 17794, 3045, 23395, 28370, 256, 11524, 1589, 621, 814, 1945, 547, 798, 609, 10100, 543, 4222, 2094, 21495, 941, 25343, 585, 1373, 12703, 21962, 563, 274, 269, 2878, 299, 8123, 1262, 910, 1323, 3404, 610, 28419, 6763, 585, 19279, 269, 898, 1223, 1611, 15093, 1317, 3404, 523, 941, 1419, 1031, 585, 3909, 17008, 269, 4746, 267, 19279, 11363, 4906, 607, 519, 3501, 9384, 4716, 30340, 540, 2696, 563, 275, 269, 2878, 11990, 1262, 910, 14936, 267, 2743, 519, 865, 2130, 23914, 7555, 7381, 585, 3627, 269, 3807, 607, 606, 23914, 12034, 1919, 689, 1390, 15627, 267, 3627, 8843, 7096, 4030, 827, 4906, 543, 3571, 31676, 2470, 2429, 1010, 22258, 780, 4322, 4241, 6698, 2408, 538, 2038, 4168, 1148, 2066, 519, 11335, 3148, 269, 1809, 1705, 596, 917, 602, 930, 9721, 26112, 4797, 1210, 891, 2592, 1282, 519, 5664, 12698, 286, 2334, 1797, 936, 513, 8536, 1296, 3516, 267, 3860, 8186, 2966, 32154, 25139, 22251, 4904, 609, 6946, 3270, 543, 4778, 267, 1519, 891, 3579, 27685, 626, 6698, 2439, 1103, 3932, 267, 3695, 3504, 2081, 540, 10213, 6426, 2984, 2337, 721, 1174, 1114, 4529, 543, 4978, 2429, 1686, 269, 1635, 1565, 827, 519, 2185, 6698, 4448, 547, 519, 22258, 5830, 267, 596, 4312, 8678, 9118, 2043, 1354, 596, 945, 19644, 891, 10723, 6386, 543, 8179, 5499, 2409, 547, 2671, 873, 269, 8414, 4417, 1005, 267, 1250, 8284, 942, 2951, 518, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 2969, 305, 3041, 12087, 6730, 5442, 306, 8085, 2752, 13138, 4696, 296, 16739, 454, 29996, 5990, 12601, 20315, 5085, 3041, 4811, 912, 13052, 9680, 2464, 3041, 6730, 15096, 2177, 24209, 5508, 5990, 674, 21788, 4149, 312, 11586, 5357, 306, 623, 17803, 454, 5804, 519, 3573, 2039, 540, 7216, 4168, 12835, 2762, 538, 519, 11335, 1158, 519, 6249, 799, 13856, 1202, 983, 22258, 1433, 14745, 729, 602, 540, 519, 2185, 575, 28145, 2933, 267, 13269, 676, 23609, 540, 741, 4589, 543, 540, 741, 12572, 581, 6814, 267, 519, 812, 267, 519, 17794, 267, 519, 28419, 543, 519, 23914, 269, 634, 3883, 540, 20736, 992, 543, 519, 661, 577, 1181, 778, 717, 28145, 840, 2183, 1142, 540, 519, 2185, 22258, 5931, 609, 513, 2898, 22240, 4605, 540, 922, 3617, 5345, 13370, 626, 3090, 267, 513, 2259, 4553, 538, 519, 17005, 15998, 540, 519, 22258, 1433, 1631, 5258, 1063, 5507, 267, 645, 11482, 269, 29158, 744, 628, 334, 595, 966, 543, 11062, 267, 595, 5861, 5861, 269, 476, 3192, 289, 269, 17968, 267, 607, 538, 519, 1804, 543, 26672, 573, 4446, 828, 7236, 717, 28145, 267, 519, 5345, 13370, 1235, 941, 1142, 13269, 6678, 1258, 539, 538, 2898, 22240, 2278, 23609, 282, 519, 1507, 9721, 2048, 335, 12714, 575, 28145, 685, 971, 607, 519, 3883, 540, 631, 1638, 532, 267, 519, 3883, 540, 17435, 2742, 543, 519, 27974, 332, 1872, 717, 28145, 849, 840, 2183, 1142, 22258, 609, 513, 17855, 540, 922, 2278, 267, 855, 2356, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3992, 827, 10977, 607, 513, 1259, 547, 3251, 3514, 256, 5620, 596, 2479, 4862, 540, 513, 1895, 1572, 519, 13108, 10323, 3201, 338, 286, 1358, 2811, 513, 2027, 2319, 538, 519, 4108, 602, 4422, 998, 930, 540, 519, 27162, 4554, 2866, 1472, 269, 2290, 540, 519, 1919, 789, 723, 547, 1451, 875, 547, 798, 568, 7669, 1279, 9883, 1247, 8066, 5230, 3615 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14824, 1326, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1326, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1326, 14824, 1326, 14824, 1326, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1326, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1584, 14824, 1584, 31116, 258, 642, 1023, 815, 20886, 1015, 267, 1724, 25662, 274, 267, 1704, 25662, 277, 267, 1556, 25662, 1015, 267, 276, 25662, 280, 267, 1015, 25662, 1724, 25662, 273, 267, 866, 25662, 273, 25662, 274, 25662, 276, 267, 1839, 25662, 279, 25662, 280, 267, 2420, 25662, 276, 267, 276, 25662, 272, 267, 1789, 25662, 1556, 25662, 280, 267, 1321, 25662, 278, 25662, 276, 25662, 279, 25662, 280, 25662, 275, 267, 1789, 25662, 280, 267, 274, 25662, 280, 25662, 1015, 25662, 1015, 25662, 277, 267, 1691, 25662, 274, 267, 272, 25662, 274, 25662, 1015, 267, 1556, 25662, 279, 25662, 273, 267, 1691, 25662, 272, 25662, 276, 25662, 275, 25662, 1556, 267, 275, 25662, 1321, 267, 2190, 25662, 276, 267, 1240, 25662, 1724, 25662, 278, 267, 2537, 25662, 279, 25662, 1321, 25662, 274, 267, 2767, 25662, 273, 267, 1321, 25662, 276, 25662, 273, 267, 280, 25662, 1724, 267, 275, 25662, 279, 267, 1240, 25662, 272, 267, 278, 25662, 277, 25662, 280, 267, 3066, 25662, 279, 267, 2641, 25662, 276, 25662, 277, 267, 1789, 25662, 272, 267, 1321, 25662, 1015, 25662, 275, 267, 1428, 25662, 278, 267, 2420, 25662, 1556, 267, 2918, 25662, 279, 267, 1704, 25662, 280, 267, 3066, 14963, 258, 267, 314, 276, 25662, 274, 267, 275, 25662, 1556, 267, 1789, 25662, 1321, 25662, 275, 267, 3066, 25662, 274, 25662, 280, 25662, 277, 25662, 274, 267, 275, 25662, 272, 25662, 1015, 25662, 274, 267, 3066, 25662, 1015, 267, 2764, 25662, 272, 267, 736, 25662, 1556, 267, 1724, 25662, 274, 25662, 274, 267, 1321, 25662, 274, 267, 279, 25662, 1015, 267, 280, 25662, 274, 267, 2918, 25662, 279, 25662, 278, 25662, 276, 25662, 1724, 267, 1704, 25662, 273, 267, 2767, 25662, 1556, 267, 1428, 25662, 1321, 25662, 280, 267, 866, 25662, 273, 267, 1428, 25662, 274, 267, 1626, 25662, 272, 25662, 1321, 267, 1704, 25662, 280, 267, 272, 25662, 277, 267, 866, 25662, 275, 25662, 276, 25662, 276, 25662, 279, 267, 272, 25662, 1556, 267, 278, 25662, 276, 267, 273, 25662, 280, 267, 2764, 25662, 272, 25662, 273, 267, 273, 25662, 278, 267, 275, 25662, 275, 267, 2420, 25662, 278, 267, 2190, 25662, 280, 267, 2918, 25662, 1724, 267, 2764, 25662, 1556, 267, 2918, 27663, 258, 535, 318, 10094, 815, 23407, 6600, 684, 14369, 267, 642, 1023, 994, 258, 2659, 700, 305, 10813, 5995, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 1384, 258, 1496, 280, 267, 274, 25662, 280, 25662, 1015, 25662, 1015, 25662, 277, 267, 1691, 25662, 274, 267, 272, 25662, 274, 25662, 1015, 267, 1556, 316, 6540, 258, 1496, 333, 1638, 19885, 1638, 19885, 1638, 267, 272, 19885, 1638, 16427, 272, 19885, 1638, 16427, 272, 267, 274, 267, 275, 2639, 258, 1073, 329, 815, 700, 305, 10813, 5995, 263, 273, 9239, 258, 1073, 329, 269, 1584, 263, 1015, 267, 476, 272, 994, 258, 1073, 329, 269, 1584, 263, 280, 267, 476, 274, 994, 258, 1073, 329, 10947, 263, 1015, 994, 258, 1073, 329, 10947, 263, 1015, 994, 258, 1073, 329, 269, 1584, 263, 277, 267, 476, 1691, 994, 258, 1073, 329, 269, 1584, 263, 274, 267, 476, 272, 994, 258, 1073, 329, 10947, 263, 274, 994, 258, 1073, 329, 269, 1584, 263, 1015, 267, 476, 1556, 994, 16482, 258, 585, 535, 26371, 538, 535, 318, 10094, 912, 258, 672, 952, 535, 26371, 314, 271, 316, 2652, 834, 1584, 13426, 258, 1363, 1820, 263, 28128, 269, 1584, 6600, 26371, 314, 272, 6012, 271, 3910, 535, 26371, 314, 272, 6012, 272, 28413, 258, 672, 3116, 912, 258, 1363, 1820, 263, 28128, 10947, 6600, 26371, 314, 272, 6012, 271, 8079, 2020, 0, 258, 9502, 585, 606, 8884, 563, 258, 1362, 3955, 1998, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 521, 284, 271, 267, 552, 284, 271, 2187, 258, 1363, 1582, 269, 11034, 815, 521, 454, 258, 1363, 1582, 269, 754, 815, 552, 692, 5035, 8827, 912, 825, 1219, 8884, 11328, 7611, 4311, 267, 589, 281, 1412, 8266, 314, 11328, 1998, 316, 3299, 645, 281, 1412, 8266, 314, 11328, 1998, 316, 10807, 9847, 1412, 8266, 314, 11328, 1998, 316, 12466, 1038, 1775, 815, 476, 271, 454, 1038, 795, 815, 476, 271, 454, 1038, 20735, 815, 29129, 1038, 1219, 16937, 3287, 267, 586, 2187, 2018, 1376, 815, 3193, 10490, 20572, 4940, 11034, 267, 645, 314, 344, 4940, 11034, 994, 2018, 1439, 815, 1295, 10490, 20572, 4940, 754, 267, 645, 314, 344, 4940, 754, 994, 2018, 952, 1376, 3436, 1439, 912, 3546, 2132, 11713, 2018, 3116, 912, 3546, 2132, 1496, 11034, 267, 1439, 2639, 2018, 1948, 2132, 11713, 2018, 1948, 2132, 1496, 1015, 267, 476, 1015, 2639, 2018, 1948, 2132, 1496, 3066, 267, 476, 3374, 6540, 1038, 1247, 1775, 2999, 7003, 10490, 264, 543, 795, 2999, 7003, 16360, 2187, 2018, 11134, 815, 16937, 9217, 267, 795, 994, 2018, 513, 815, 589, 5157, 2639, 2018, 536, 815, 645, 14728, 2639, 2018, 952, 11134, 912, 3546, 20735, 6910, 6262, 663, 28371, 2020, 2018, 952, 513, 269, 754, 2999, 536, 269, 754, 912, 3546, 1775, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 795, 6834, 476, 272, 454, 1038, 2132, 20735, 454, 0, 5035, 8827, 912, 825, 1219, 1265, 298, 628, 299, 17999, 4311, 267, 15358, 267, 737, 2187, 1038, 15044, 5332, 4548, 815, 15044, 25225, 267, 9258, 18989, 994, 1038, 2132, 15044, 5332, 4548, 25208, 910, 476, 272, 6540, 825, 1219, 1265, 298, 628, 299, 17999, 273, 4311, 267, 15358, 267, 737, 2187, 1038, 22141, 815, 15358, 314, 271, 2639, 1038, 4130, 815, 1496, 333, 585, 562, 538, 15358, 952, 562, 2999, 22141, 2639, 1038, 1482, 815, 1496, 333, 585, 562, 538, 15358, 952, 562, 2652, 22141, 2639, 1038, 3152, 815, 1496, 333, 585, 562, 538, 15358, 952, 562, 3436, 22141, 2639, 1038, 952, 737, 10922, 7003, 14116, 805, 518, 2187, 2018, 2132, 1582, 26098, 298, 628, 299, 17999, 273, 14116, 805, 518, 267, 737, 994, 1038, 952, 737, 10922, 7003, 14116, 805, 518, 264, 1341, 7003, 4433, 877, 2187, 2018, 2132, 1482, 314, 271, 2639, 1038, 2132, 1582, 26098, 298, 628, 299, 17999, 273, 4433, 332, 718, 518, 267, 737, 910, 630, 6352, 14116, 805, 518, 264, 1341, 7003, 4433, 877, 4297, 2020, 825, 1219, 19389, 5334, 677, 4311, 267, 15358, 267, 737, 2187, 1038, 585, 2450, 538, 2039, 12759, 25225, 9984, 263, 330, 268, 272, 15892, 2018, 585, 1775, 538, 2039, 4433, 1125, 268, 272, 2187, 3546, 952, 15358, 5157, 316, 3436, 15358, 5157, 266, 272, 14158, 7386, 15358, 5157, 3910, 15358, 5157, 266, 272, 316, 815, 15358, 5157, 266, 272, 3910, 15358, 5157, 2639, 1038, 2132, 15358, 15631, 330, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 26098, 298, 628, 299, 17999, 273, 8443, 273, 267, 476, 276, 267, 476, 273, 267, 476, 273, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 280, 3910, 476, 275, 4917, 825, 1820, 4433, 26098, 298, 628, 299, 17999, 8443, 273, 267, 476, 276, 267, 476, 273, 267, 476, 273, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 280, 3910, 476, 275, 4917, 825, 1820, 4433, 12500, 889, 1076, 5334, 677, 8443, 273, 267, 476, 276, 267, 476, 273, 267, 476, 273, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 280, 3910, 476, 275, 4917, 0, 12163, 2260, 5384, 29203, 2433, 744, 12759, 4433, 272, 12684, 6352, 4433, 273, 4917, 2260, 6611, 29203, 2433, 744, 12759, 4433, 272, 12684, 6352, 4433, 273, 4917, 2260, 9894, 713, 3009, 6707, 2196, 593, 2274, 564, 13892, 2433, 8786, 454, 2260, 7102, 1966, 596, 5185, 1247, 8193, 713, 2433, 3143, 692, 2260, 2659, 3009, 1934, 2059, 609, 8292, 7713, 707, 1935, 454, 2704, 326, 3596, 332, 19247, 454, 11693, 2630, 910, 667, 303, 454, 12163, 5035, 8827, 912, 825, 1219, 1295, 291, 2700, 4311, 267, 2262, 272, 281, 1193, 267, 2262, 273, 281, 1193, 264, 9847, 703, 912, 1038, 8173, 1038, 1284, 723, 1614, 4238, 267, 9337, 267, 18419, 267, 1039, 267, 649, 9247, 991, 547, 7413, 519, 1297, 540, 2081, 519, 521, 272, 4433, 889, 11415, 540, 2262, 272, 264, 666, 581, 9927, 547, 521, 273, 4433, 889, 11415, 540, 2262, 273, 994, 1038, 1284, 666, 1294, 972, 616, 20718, 1016, 2889, 21793, 609, 2463, 547, 25739, 5569, 4646, 676, 9927, 5569, 693, 1114, 5933, 28329, 1038, 21741, 1637, 1505, 454, 1038, 910, 6333, 2262, 272, 607, 4737, 476, 543, 2262, 273, 607, 6241, 543, 1246, 519, 1739, 3652, 454, 1038, 910, 8073, 513, 31185, 5044, 31185, 314, 5320, 272, 32324, 6012, 5320, 273, 32324, 266, 272, 316, 3097, 1038, 910, 19130, 519, 1990, 518, 1054, 6241, 543, 1990, 518, 1054, 4737, 609, 2418, 689, 1775, 547, 562, 268, 272, 630, 14585, 22046, 532, 547, 10145, 5569, 994, 1038, 910, 1280, 4737, 538, 476, 272, 547, 31185, 32324, 454, 2018, 1280, 897, 538, 476, 272, 547, 31185, 314, 271, 4940, 26319, 454, 3546, 952, 2262, 272, 314, 992, 268, 272, 316, 2652, 1913, 314, 3712, 268, 272, 13912, 1948, 1915, 568, 20083, 267, 865, 649, 991, 547, 7485, 1524, 519, 2063, 7004, 1871, 630, 9008, 2451, 15497, 994, 3546, 3116, 912, 7386, 31185, 314, 992, 6012, 3712, 316, 815, 1295, 5560, 335, 314, 992, 268, 272, 6012, 3712, 3910, 31389, 314, 992, 6012, 3712, 268, 272, 3910, 31389, 314, 992, 268, 272, 6012, 3712, 268, 272, 27994, 272, 994, 1038, 910, 2132, 31185, 314, 31389, 32324, 6012, 31389, 314, 271, 4940, 26319, 2639, 1038, 8173, 1038, 31185, 815, 20886, 271, 585, 9041, 538, 2039, 12759, 27182, 273, 11924, 272, 13580, 585, 9041, 538, 2039, 12759, 27182, 272, 11924, 272, 22708, 1038, 585, 1775, 538, 2039, 12759, 27182, 272, 11924, 272, 2187, 2018, 31185, 5157, 6012, 271, 316, 815, 1775, 28329, 1038, 585, 1775, 538, 2039, 12759, 27182, 273, 11924, 272, 2187, 2018, 31185, 314, 271, 6012, 328, 316, 815, 1775, 28329, 1038, 585, 1775, 538, 2039, 263, 272, 267, 6352, 5560, 335, 15892, 2018, 585, 795, 538, 2039, 263, 272, 267, 6352, 5560, 335, 314, 271, 8079, 2187, 3546, 952, 2262, 272, 5157, 268, 272, 316, 2652, 2262, 273, 14728, 268, 272, 14158, 7386, 31185, 5157, 6012, 329, 316, 815, 31185, 5157, 268, 272, 6012, 329, 268, 272, 2639, 3546, 3116, 912, 7386, 31185, 5157, 6012, 329, 316, 815, 1295, 5560, 335, 5157, 268, 272, 6012, 329, 268, 272, 3910, 31389, 5157, 6012, 329, 268, 272, 3910, 31389, 5157, 268, 272, 6012, 329, 8079, 266, 272, 454, 1038, 2132, 31185, 314, 6352, 5560, 335, 9984, 272, 6012, 6352, 5560, 335, 314, 271, 8079, 268, 272, 316, 0, 5228, 6092, 21920, 9928, 571, 704, 1104, 530, 5942, 318, 2675, 571, 704, 6958, 15635, 454, 5814, 21795, 607, 19073, 692, 15132, 7057, 815, 19073, 18667, 32269, 16868, 262, 293, 272, 12774, 315, 15132, 7057, 27406, 5073, 571, 806, 815, 19073, 18667, 32269, 16868, 262, 293, 272, 12774, 315, 571, 806, 27406, 17210, 571, 806, 9131, 26319, 11172, 815, 530, 5942, 318, 2675, 571, 704, 6958, 15635, 2891, 17345, 3259, 2580, 14797, 269, 14766, 994, 571, 806, 30419, 32269, 16868, 257, 11907, 318, 30236, 539, 315, 571, 806, 27406, 2580, 4994, 25716, 2020, 15132, 7057, 9131, 26319, 11172, 815, 530, 5942, 318, 2675, 571, 704, 6958, 15635, 2891, 21920, 2580, 11387, 269, 14766, 994, 15132, 7057, 9131, 307, 5281, 11172, 815, 530, 5942, 318, 2675, 571, 704, 6958, 15635, 2891, 307, 5281, 2580, 11387, 269, 14766, 994, 15132, 7057, 30419, 32269, 16868, 257, 11907, 318, 30236, 539, 315, 15132, 7057, 27406, 2580, 4994, 25716, 2020, 692, 258, 8943, 547, 1085, 7275, 28957, 585, 4365, 1239, 689, 1142, 5198, 454, 258, 1305, 909, 513, 8675, 547, 6460, 4365, 1344, 883, 17161, 454, 258, 933, 1430, 815, 14797, 314, 9131, 15869, 27306, 3299, 1412, 14766, 11172, 2639, 258, 933, 1430, 9131, 933, 1430, 11172, 815, 530, 5942, 318, 2675, 571, 704, 6958, 15635, 2891, 2171, 1430, 2580, 14797, 269, 14766, 994, 16482, 258, 933, 1430, 18380, 815, 27835, 933, 1430, 16062, 1301, 9166, 18358, 18030, 1375, 328, 6737, 3299, 1412, 27234, 3299, 1412, 342, 1301, 3299, 1412, 14653, 3299, 1412, 15711, 5500, 3299, 1412, 325, 710, 3299, 1412, 332, 843, 3299, 1412, 572, 1066, 334, 11172 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 18843, 540, 519, 5027, 454, 268, 631, 1143, 520, 3481, 3490, 8424, 454, 268, 14119, 566, 540, 579, 2350, 559, 883, 519, 5027, 454, 268, 7621, 9179, 610, 12659, 2643, 566, 540, 519, 5027, 454, 268, 17677, 3613, 8681, 539, 9397, 912, 268, 5637, 22204, 540, 5027, 616, 694, 30099, 563, 268, 667, 836, 2730, 547, 11646, 6617, 630, 577, 668, 23865, 3441, 994, 268, 9061, 2000, 9722, 540, 7745, 22204, 666, 1291, 547, 10654, 540, 5378, 2670, 267, 1591, 2669, 267, 610, 15817, 563, 19091, 7816, 6127, 454, 268, 31469, 1031, 547, 2953, 18643, 6959, 1282, 5027, 18643, 912, 268, 31469, 585, 2582, 3613, 8681, 539, 5027, 3441, 630, 12898, 18643, 2187, 268, 7353, 648, 335, 1515, 630, 2254, 3742, 538, 3425, 994, 268, 12476, 2300, 1707, 7816, 454, 268, 715, 16197, 582, 728, 2300, 1707, 7816, 454, 268, 631, 1143, 2255, 7816, 454, 268, 31469, 585, 5595, 3613, 8681, 539, 5027, 9397, 630, 12898, 18643, 2187, 268, 13067, 27881, 21921, 1588, 454, 268, 6348, 327, 558, 27881, 1439, 11836, 454, 27893, 15105, 543, 7353, 648, 335, 1515, 454, 27893, 15105, 4386, 1282, 5027, 18643, 269, 5027, 29920, 630, 1492, 11747, 1950, 602, 18187, 919, 5027, 2187, 268, 13201, 968, 16513, 15105, 892, 2534, 267, 5827, 540, 31925, 18643, 6959, 454, 268, 2052, 968, 3724, 909, 892, 950, 606, 5470, 568, 9571, 267, 2300, 1047, 519, 11234, 30859, 267, 543, 7696, 519, 2953, 835, 912, 268, 13201, 476, 274, 685, 547, 476, 276, 685, 608, 517, 1075, 3161, 2534, 3850, 713, 2300, 1707, 540, 519, 11234, 30859, 454, 268, 8555, 1407, 519, 535, 23474, 540, 25718, 519, 5027, 476, 1911, 24670, 454, 10013, 1769, 5982, 3123, 7510, 3234, 26593, 630, 307, 610, 595, 264, 3897, 619, 547, 1106, 3842, 32128, 3095, 1137, 1063, 11105, 13279, 267, 2870, 513, 14883, 1049, 1689, 12462, 12712, 613, 14615, 538, 519, 5027, 269, 1452, 12889, 666, 581, 30465, 3842, 513, 1184, 1572, 2584, 648, 335, 1515, 267, 610, 2584, 648, 716, 10474, 563, 268, 5027, 2584, 8432, 848, 568, 606, 11747, 602, 3096, 7298, 1769, 1648, 547, 2736, 519, 32128, 6125, 1063, 7510, 3234, 573, 1149, 267, 19620, 519, 5027, 547, 922, 3312, 1533, 912, 268, 8074, 602, 11158, 1769, 3123, 519, 3441, 282, 7298, 1769, 2488, 519, 1648, 547, 4368, 519, 3441, 563, 268, 7353, 648, 335, 1515, 568, 606, 1383, 540, 1463, 630, 528, 3114, 264, 30729, 540, 5027, 3441, 630, 328, 4318, 1421, 621, 1281, 711, 2736, 519, 8485, 3672, 614, 22449, 1916, 268, 6496, 711, 991, 513, 5027, 10959, 454, 268, 2052, 7816, 1152, 476, 272, 3490, 693, 513, 942, 454, 268, 901, 1184, 568, 711, 3742, 538, 726, 659, 1581, 11864, 630, 7945, 607, 3425, 1916, 306, 17532, 21178, 8681, 539, 5027, 28100, 29766, 454, 763, 1591, 814, 476, 274, 3119, 6127, 547, 7816, 3441, 547, 513, 2582, 18843, 540, 5027, 281, 3490, 2300, 1707, 7816, 267, 30859, 2300, 1707, 7816, 267, 543, 25314, 2255, 7816, 563, 14197, 1184, 540, 2582, 268, 1598, 6548, 5027, 3441, 7816, 454, 5472, 476, 274, 6127, 1246, 519, 1482, 2489, 1184, 912, 268, 634, 8697, 610, 25983, 958, 19610, 13279, 616, 4857, 563, 268, 1401, 17800, 11476, 2300, 1047, 519, 9402, 3490, 267, 30859, 267, 610, 513, 1507, 3148, 4478, 621, 563, 268, 5027, 29920, 25361, 538, 519, 7934, 676, 4946, 519, 2953, 22951, 1938, 563, 268, 5027, 14270, 848, 20910, 519, 4006, 14428, 24043, 22449, 609, 513, 1007, 8485, 3672, 614, 6125, 563, 26015, 2300, 1707, 7816, 630, 21612, 994, 1103, 645, 2207, 267, 513, 2582, 8697, 3490, 568, 2300, 2213, 543, 8719, 563, 268, 31946, 6523, 2643, 848, 11476, 912, 268, 7581, 1511, 519, 6125, 1063, 519, 8697, 3490, 543, 632, 20293, 1026, 846, 267, 9427, 621, 454, 268, 5027, 9848, 6523, 2643, 1162, 616, 27295, 10391, 563, 268, 19204, 723, 2789, 5027, 9848, 6523, 2643, 1162, 609, 1114, 1808, 885, 563, 268, 6201, 540, 9848, 6523, 2643, 848, 11476, 912, 268, 772, 2350, 559, 5937, 2793, 9848, 6523, 2643, 848, 18788, 579, 2350, 559, 689, 5027, 22204, 563, 268, 7621, 690, 10224, 710, 9848, 6523, 2643, 848, 18788, 12444, 1242, 13279, 563, 268, 7736, 31265, 1162, 4894, 519, 6967, 4006, 14428, 24043, 6712, 540, 519, 30859, 563, 268, 5027, 29920, 18788, 519, 2582, 9402, 30859, 543, 30283, 621, 609, 519, 2953, 835, 563, 268, 5027, 14270, 848, 20910, 519, 22449, 563, 268, 11115, 1143, 540, 11158, 3441, 7816, 538, 3425, 454, 301, 340, 4897, 582, 728, 2300, 1707, 7816, 630, 301, 2207, 994, 268, 5381, 1184, 547, 645, 2207, 267, 855, 609, 3677, 6810, 540, 5027, 2300, 2213, 454, 268, 634, 3003, 3296, 540, 5027, 630, 20200, 1227, 267, 5111, 476, 1321, 1700, 1789, 3490, 8424, 264, 4478, 519, 9402, 1858, 568, 6569, 676, 513, 1950, 540, 1439, 31265, 1162, 563, 268, 5027, 568, 759, 9321, 1127, 1242, 676, 5027, 29920, 543, 20177, 676, 5027, 14270, 848, 563, 19091, 25314, 2255, 7816, 630, 12613, 305, 994, 268, 22043, 338, 6959, 538, 3490, 30010, 602, 7018, 1282, 5027, 18643, 543, 941, 711, 30465, 676, 6169, 15105, 912, 268, 10705, 3361, 676, 512, 2246, 9593, 1436, 630, 560, 24780, 568, 12002, 264, 1282, 18643, 454, 268, 2052, 581, 2582, 3490, 8424, 610, 3677, 6810, 540, 5027, 454, 268, 631, 17307, 5946, 912, 268, 700, 11229, 519, 25314, 520, 3481, 22951, 1938, 454, 268, 5589, 8816, 608, 31265, 1162, 547, 2300, 1047, 519, 25314, 520, 3481, 13279, 454, 268, 4495, 519, 25314, 520, 3481, 3490, 568, 2300, 2213, 912, 268, 5027, 29920, 666, 1747, 519, 2953, 3490, 4433, 1916, 268, 5027, 14270, 848, 20910, 519, 4006, 14428, 24043, 22449, 563, 291, 19302, 21178, 8681, 539, 5027, 28100, 29766, 454, 1103, 2489, 267, 5595, 3613, 8681, 539, 5027, 3441, 568, 9875, 547, 7816, 1317, 972, 568, 1100, 10959, 18843, 547, 960, 1055, 540, 269, 634, 476, 273, 3119, 6127, 547, 4368, 5595, 3613, 8681, 539, 5027, 9397, 616, 4630, 27881, 21921, 1588, 543, 1875, 327, 558, 27881, 1439, 11836, 563, 295, 558, 27881, 21921, 1588, 630, 16281, 994, 1103, 4630, 27881, 21921, 1588, 630, 16281, 1070, 519, 5176, 9838, 11078, 24885, 573, 610, 4630, 27881, 15694, 568, 1031, 607, 513, 10959, 912, 268, 23317, 543, 11476, 616, 2147, 547, 519, 9606, 10095, 15385, 936, 602, 4386, 1282, 32450, 563, 268, 15679, 3340, 912, 268, 6987, 2400, 4525, 540, 4630, 27881, 9696, 1063, 519, 476, 273, 24885, 1749, 454, 268, 13038, 11747, 23838, 267, 1519, 912, 268, 1401, 31265, 1162, 281, 2253, 7558, 532, 519, 476, 276, 685, 7475, 9890, 12958, 476, 274, 685, 2582, 3613, 8681, 539, 5027, 21217, 593, 519, 7745, 22204, 454, 268, 1234, 1260, 16535, 848, 11476, 281, 10776, 2763, 519, 24450, 540, 519, 476, 274, 685, 1439, 883, 519, 14911, 5311, 540, 5027, 593, 519, 4630, 27881, 24885, 573, 454, 268, 5027, 29920, 568, 2111, 547, 30075, 1007, 5027, 689, 519, 4630, 27881, 24885, 573, 563, 268, 634, 968, 28717, 8172, 892, 18843, 949, 1439, 909, 912, 268, 9861, 22121, 609, 922, 4630, 27881, 3148, 593, 519, 6587, 24885, 573, 912, 268, 901, 5385, 568, 1634, 607, 513, 670, 3326, 6118, 22882, 267, 513, 2034, 1439, 7001, 267, 610, 15385, 936, 563, 268, 9861, 19774, 1310, 621, 814, 24704, 2614, 5027, 547, 968, 29589, 519, 7934, 892, 540, 922, 3312, 2736, 912, 268, 634, 3312, 476, 274, 685, 1439, 568, 1287, 556, 8588, 609, 922, 3312, 476, 276, 685, 1439, 543, 1031, 607, 513, 10959, 547, 6445, 538, 519, 10616, 563, 268, 19612, 607, 10282, 17466, 2582, 3613, 8681, 32319, 2718, 630, 16256, 6347, 994, 268, 10515, 3539, 519, 3003, 1964, 540, 922, 11078, 24885, 573, 952, 922, 3312, 476, 276, 685, 1439, 568, 4503, 912, 268, 4495, 519, 32415, 476, 274, 685, 1439, 814, 23652, 519, 1964, 540, 519, 24885, 573, 267, 621, 13847, 543, 568, 1031, 607, 513, 10959, 18843, 547, 1121, 820, 922, 14911, 18843, 563, 268, 901, 1184, 568, 1634, 607, 2736, 14001, 18643, 630, 289, 7644, 1916, 268, 9861, 22121, 609, 922, 4630, 27881, 3148, 593, 519, 6587, 24885, 573, 912, 15239, 327, 558, 27881, 1439, 11836, 630, 301, 4047, 297, 994, 268, 5027, 14270, 848, 10001, 543, 513, 1071, 26476, 267, 2473, 305, 6717, 275, 267, 2047, 6443, 519, 7745, 7475, 1394, 1927, 563, 268, 4039, 625, 593, 2890, 327, 558, 3098, 630, 26211, 4630, 27881, 9696, 264, 593, 2582, 3613, 8681, 539, 21217, 540, 519, 7745, 22204, 454, 268, 1546, 2280, 687, 267, 7696, 687, 267, 543, 6037, 23148, 616, 811, 1455, 609, 713, 1826, 540, 7816, 563, 268, 589, 2147, 7271, 568, 3238, 538, 966, 20573, 264, 297, 21921, 1588, 547, 1711, 645, 16052, 543, 570, 16052, 4763, 563, 268, 18726, 4713, 281, 1879, 25314, 520, 3481, 3490, 8424, 616, 711, 30465, 1369, 519, 13708, 26347, 267, 789, 666, 1711, 13592, 602, 616, 5293, 593, 547, 15556, 563, 268, 9435, 281, 1362, 540, 3676, 3361, 676, 2242, 538, 519, 4719, 5311, 543, 5444, 4082, 269, 1452, 2242, 616, 1419, 1813, 547, 5027, 13592, 610, 3441, 269, 1703, 616, 476, 275, 5049, 540, 3339, 9431, 6090, 602, 616, 1419, 8697, 538, 2860, 2281, 281, 2208, 1790, 668, 7627, 32346, 4094, 525, 267, 2208, 2987, 3031, 1746, 10510, 16401, 528, 6090, 267, 6090, 602, 10038, 30091, 267, 543, 6090, 3238, 538, 5027, 7816, 563, 268, 22118, 577, 6794, 281, 849, 1572, 22420, 1875, 335, 8432, 1842, 529, 897, 28030, 2860, 630, 295, 23259, 6717, 1040, 22118, 577, 6794, 568, 3361, 676, 606, 1313, 23865, 8789, 15817, 538, 5027, 631, 17307, 6090, 269, 22118, 577, 6794, 568, 519, 1034, 1455, 15110, 3935, 2860, 6794, 267, 543, 621, 11438, 513, 3648, 2799, 1981, 585, 26707, 7434, 2860, 543, 824, 30279, 17473, 269, 23369, 568, 1500, 676, 4719, 4152, 269, 7216, 543, 7928, 9584, 585, 3935, 2860, 568, 2838, 267, 543, 605, 29091, 12519, 1728, 560, 699, 551, 3912, 568, 1419, 5227, 585, 2021, 3564, 10285, 2085, 563, 268, 16164, 11871, 281, 634, 1034, 1455, 2010, 540, 2960, 11871, 1331, 21828, 1591, 26217, 267, 2695, 13904, 1591, 26217, 540, 519, 2960, 267, 543, 27441, 269, 634, 13592, 538, 891, 11871, 1419, 8451, 689, 5027, 3441, 1813, 547, 7050, 4598, 547, 11158, 5982, 269, 1879, 20358, 532, 540, 645, 2207, 1949, 4386, 19962, 547, 7928, 3141, 4598, 267, 519, 1981, 585, 2960, 11871, 2333, 269, 901, 1981, 568, 1034, 1455, 538, 4023, 1606, 7219, 2740, 2043, 609, 513, 1686, 540, 7050, 3141, 4598, 543, 3141, 321, 5281, 269, 4347, 514, 1438, 5868, 568, 3964, 609, 23707, 269, 9615, 12346, 5097, 593, 10551, 2300, 1707, 563, 268, 2473, 518, 25866, 320, 20119, 657, 636, 281, 4686, 1313, 23865, 12424, 633, 4524, 6353, 676, 20119, 2242, 538, 519, 2960, 269, 634, 4527, 540, 1535, 518, 25866, 320, 20119, 657, 636, 5012, 547, 606, 2799, 1981, 585, 11158, 14001, 2960, 543, 29935, 9245, 11871, 543, 267, 12212, 267, 11636, 31895, 523, 3130, 269, 901, 4524, 568, 3361, 676, 476, 272, 540, 1896, 13592, 267, 799, 6038, 5012, 547, 14524, 531, 715, 2207, 269, 23369, 1058, 581, 16143, 538, 1453, 609, 4049, 3141, 8417, 267, 1713, 1954, 1188, 1782, 1991, 547, 2085, 476, 273, 267, 543, 5924, 2960, 2860, 1991, 547, 2085, 476, 1015, 563, 268, 17054, 6199, 267, 661, 269, 630, 1220, 274, 1040, 5027, 3441, 543, 7816, 269, 7186, 476, 275, 2641, 281, 275, 3607, 1700, 24496, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 14672, 1155, 26522, 5400, 454, 268, 9149, 267, 2473, 1421, 1261, 9807, 267, 654, 269, 667, 269, 630, 1220, 279, 1040, 13067, 27881, 21921, 1588, 538, 5027, 7816, 543, 5027, 3441, 10892, 269, 8426, 3194, 476, 1240, 281, 4200, 1700, 13647, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 11305, 337, 269, 1220, 279, 269, 272, 454, 268, 681, 1245, 534, 5025, 337, 329, 7431, 267, 570, 1421, 589, 686, 5633, 267, 681, 269, 681, 1421, 24778, 20899, 4211, 534, 3266, 267, 667, 269, 630, 1001, 280, 1040, 5027, 3490, 2300, 1707, 7816, 538, 2371, 281, 606, 11200, 532, 1650, 609, 5432, 543, 3209, 3197, 269, 13571, 4536, 538, 7233, 3163, 269, 8158, 4989, 476, 2537, 267, 476, 1708, 272, 267, 689, 4179, 2517, 4178, 8807, 3224, 4536, 514, 3820, 270, 14895, 270, 1015, 269, 24783, 280, 11721, 680, 338, 269, 1001, 280, 269, 18089, 4649, 270, 21459, 0, 30547, 540, 595, 877, 334, 2012, 267, 2012, 4214, 267, 5169, 540, 595, 877, 334, 2012, 267, 8560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 364, 496, 27338, 476, 272, 14602, 376, 14091, 494, 510, 423, 499, 490, 422, 373, 490, 424, 356, 478, 14091, 359, 485, 423, 366, 486, 10563, 501, 364, 424, 480, 364, 17432, 368, 424, 499, 376, 423, 494, 502, 32629, 498, 424, 356, 478, 10563, 499, 490, 424, 499, 482, 423, 480, 368, 423, 507, 376, 692, 424, 481, 502, 425, 498, 490, 454, 7078, 476, 272, 912, 19152, 281, 521, 815, 834, 8099, 272, 4840, 20479, 281, 476, 277, 454, 15008, 281, 834, 8099, 272, 257, 1351, 816, 335, 4637, 547, 1297, 476, 1724, 538, 741, 8918, 6041, 563, 3721, 476, 272, 264, 476, 1724, 568, 9642, 267, 1039, 476, 272, 543, 3489, 476, 1691, 269, 3097, 3721, 476, 273, 264, 476, 1691, 568, 1256, 267, 7941, 676, 476, 273, 543, 3489, 476, 278, 563, 3721, 476, 274, 264, 476, 278, 568, 9642, 267, 1039, 476, 272, 543, 3489, 476, 279, 563, 3721, 476, 275, 264, 476, 279, 568, 1256, 267, 7941, 676, 476, 273, 543, 3489, 476, 275, 269, 22322, 3721, 476, 276, 264, 476, 275, 568, 1256, 267, 7941, 676, 476, 273, 543, 3489, 476, 273, 269, 3097, 3721, 476, 277, 264, 476, 273, 568, 1256, 267, 7941, 676, 476, 273, 543, 3489, 476, 272, 269, 567, 692, 7078, 476, 273, 912, 19152, 281, 521, 815, 834, 1015, 4840, 20479, 281, 476, 272, 454, 15008, 281, 834, 1015, 257, 1351, 816, 335, 4637, 547, 1297, 476, 273, 538, 741, 8918, 6041, 563, 3721, 476, 272, 264, 476, 273, 568, 1256, 267, 7941, 676, 476, 273, 543, 3489, 476, 272, 780, 7078, 476, 274, 912, 19152, 281, 521, 815, 834, 272, 4840, 20479, 281, 476, 271, 692, 425, 496, 478, 27338, 423, 364, 358, 423, 366, 499, 454, 268, 14091, 489, 357, 424, 486, 506, 422, 369, 361, 425, 502, 482, 7531, 12163, 5035, 8827, 912, 825, 1219, 1003, 3721, 338, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 13872, 1038, 1219, 9888, 293, 15635, 4433, 267, 524, 660, 2187, 2018, 952, 521, 314, 271, 316, 2652, 834, 272, 257, 543, 7003, 4433, 264, 2652, 476, 272, 912, 3546, 2132, 524, 660, 454, 2018, 8640, 521, 314, 271, 316, 2652, 834, 271, 13426, 3546, 2132, 9888, 293, 15635, 4433, 314, 272, 281, 3910, 524, 660, 1341, 476, 272, 994, 2018, 3116, 912, 3546, 1775, 815, 476, 271, 454, 3546, 4957, 815, 8771, 454, 3546, 585, 1775, 538, 2039, 12759, 4433, 15892, 7386, 952, 521, 5157, 316, 2652, 834, 271, 13426, 13376, 521, 5157, 316, 815, 834, 272, 4840, 13376, 4957, 815, 6936, 454, 13376, 2736, 454, 7386, 3116, 912, 13376, 521, 5157, 316, 815, 834, 271, 4840, 4449, 454, 3546, 952, 711, 4957, 912, 7386, 521, 6910, 2891, 272, 5602, 4449, 454, 3546, 2132, 9888, 293, 15635, 4433, 267, 524, 660, 1341, 476, 272, 994, 27030, 1038, 2847, 5334, 815, 1592, 4433, 994, 1038, 2847, 5334, 18622, 2091, 4590, 13872, 1038, 2132, 9888, 293, 15635, 263, 516, 341, 5334, 267, 476, 271, 994, 27030, 13872, 0, 12163, 424, 352, 376, 424, 484, 490, 281, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 11721, 785, 7308, 15902, 3065, 7146, 2173, 1314, 3065, 5991, 3784, 6361, 5991, 3941, 1532, 15277, 2275, 15560, 15304, 338, 270, 692, 423, 480, 368, 424, 504, 358, 454, 268, 21844, 364, 496, 27338, 10563, 355, 507, 32174, 478, 17432, 502, 30319, 32174, 478, 21844, 364, 494, 424, 484, 490, 17432, 502, 422, 372, 364, 10563, 489, 506, 28990, 495, 17432, 502, 32629, 498, 21844, 366, 377, 422, 367, 482, 267, 21844, 364, 494, 424, 484, 490, 17432, 502, 30319, 32174, 478, 10563, 355, 507, 32174, 478, 17432, 502, 32629, 498, 21844, 366, 377, 422, 367, 482, 423, 354, 376, 2565, 1448, 14091, 507, 376, 476, 17432, 506, 30319, 454, 268, 2565, 1448, 10563, 480, 361, 27338, 14602, 502, 10563, 369, 506, 424, 484, 490, 422, 365, 364, 423, 355, 361, 267, 10563, 369, 506, 423, 490, 478, 422, 365, 364, 423, 355, 361, 423, 354, 376, 21844, 369, 361, 17432, 502, 423, 507, 376, 692, 424, 502, 486, 32510, 506, 454, 7078, 476, 272, 912, 19152, 281, 2212, 815, 1496, 274, 267, 272, 2639, 20479, 281, 30585, 272, 16427, 272, 2639, 15008, 281, 1703, 616, 1100, 2565, 2798, 538, 1496, 274, 267, 272, 316, 780, 7078, 476, 273, 912, 19152, 281, 2212, 815, 1496, 276, 267, 274, 267, 272, 267, 273, 267, 276, 267, 272, 267, 273, 2639, 20479, 281, 1496, 272, 267, 274, 2639, 15008, 281, 1703, 616, 1614, 2565, 2798, 912, 268, 1496, 276, 267, 274, 267, 272, 267, 273, 267, 276, 267, 272, 267, 273, 13912, 634, 3791, 6843, 568, 513, 2199, 6922, 320, 1317, 476, 272, 568, 1447, 982, 476, 274, 543, 476, 273, 563, 268, 1496, 276, 267, 274, 267, 272, 267, 273, 267, 276, 267, 272, 267, 273, 13912, 634, 11359, 6843, 568, 513, 2199, 3193, 9874, 1317, 476, 276, 568, 3152, 982, 476, 273, 543, 476, 272, 563, 268, 1496, 276, 267, 274, 267, 272, 267, 273, 267, 276, 267, 272, 267, 273, 13912, 634, 15795, 6843, 568, 513, 2199, 6922, 320, 1317, 476, 272, 568, 1447, 982, 476, 276, 543, 476, 273, 563, 763, 5934, 3845, 568, 1063, 519, 11359, 543, 519, 15795, 6843, 269, 1295, 291, 2700, 815, 476, 277, 910, 476, 276, 815, 476, 272, 563, 763, 5021, 3845, 568, 1063, 519, 3791, 543, 519, 15795, 6843, 269, 3193, 291, 2700, 815, 476, 277, 910, 476, 274, 815, 476, 274, 780, 7078, 476, 274, 912, 19152, 281, 2212, 815, 1496, 272, 267, 274, 267, 273, 267, 273, 267, 274, 267, 273, 267, 273, 267, 273, 267, 278, 2639, 20479, 281, 1496, 274, 267, 274, 2639, 15008, 281, 1703, 616, 1079, 2565, 2798, 912, 268, 1496, 272, 267, 274, 267, 273, 267, 273, 267, 274, 267, 273, 267, 273, 267, 273, 267, 278, 13912, 634, 2034, 6843, 568, 513, 2199, 3193, 9874, 1317, 476, 274, 568, 3152, 982, 476, 272, 543, 476, 273, 563, 268, 1496, 272, 267, 274, 267, 273, 267, 273, 267, 274, 267, 273, 267, 273, 267, 273, 267, 278, 13912, 634, 11359, 6843, 568, 513, 2199, 3193, 9874, 1317, 476, 274, 568, 3152, 982, 476, 273, 543, 476, 273, 563, 13828, 519, 5934, 543, 5021, 9883, 616, 1063, 519, 2034, 543, 519, 11359, 6843, 563, 13295, 267, 1295, 291, 2700, 543, 3193, 291, 2700, 568, 476, 276, 910, 476, 273, 815, 476, 274, 563, 9616, 602, 519, 2063, 6843, 568, 711, 2808, 513, 2199, 3193, 9874, 1317, 621, 1281, 711, 723, 513, 1985, 6843, 780, 7078, 476, 275, 912, 19152, 281, 2212, 815, 1496, 273, 267, 274, 267, 274, 267, 273, 2639, 20479, 281, 30585, 272, 16427, 272, 2639, 15008, 281, 1703, 616, 1100, 2565, 2798, 538, 1496, 273, 267, 274, 267, 274, 267, 273, 14073, 692, 425, 496, 478, 27338, 423, 364, 358, 423, 366, 499, 454, 268, 10563, 499, 508, 29306, 494, 424, 482, 506, 423, 370, 478, 425, 482, 364, 476, 17432, 502, 423, 480, 502, 424, 498, 358, 29030, 479, 361, 423, 355, 361, 425, 489, 364, 424, 375, 361, 29030, 493, 361, 14602, 372, 425, 488, 372, 423, 354, 376, 10563, 364, 378, 424, 499, 482, 32174, 478, 423, 480, 502, 32174, 482, 30319, 454, 268, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 29030, 479, 361, 423, 355, 361, 425, 489, 364, 424, 375, 361, 29030, 493, 361, 14602, 372, 425, 488, 372, 14602, 502, 10563, 506, 482, 424, 373, 502, 423, 354, 376, 10563, 510, 478, 28990, 354, 17432, 502, 422, 367, 510, 10563, 481, 486, 423, 350, 506, 424, 504, 368, 29030, 479, 361, 423, 355, 361, 425, 489, 364, 424, 375, 361, 29030, 493, 361, 14602, 372, 425, 488, 372, 32174, 478, 14091, 497, 365, 28990, 354, 17432, 510, 423, 499, 490, 423, 356, 486, 30319, 14091, 495, 502, 10563, 480, 361, 27338, 14602, 502, 21844, 365, 364, 423, 355, 361, 32174, 478, 21844, 372, 364, 424, 350, 368, 10563, 369, 506, 424, 484, 490, 423, 367, 368, 30319, 10563, 508, 495, 14602, 478, 424, 356, 478, 10563, 366, 368, 425, 479, 361, 17432, 502, 29306, 361, 21844, 364, 365, 424, 489, 510, 17432, 506, 30319, 454, 268, 10563, 369, 506, 424, 368, 486, 29030, 479, 361, 423, 355, 361, 425, 489, 364, 424, 375, 361, 29030, 493, 361, 14602, 372, 425, 488, 372, 14602, 502, 10563, 506, 482, 424, 373, 502, 423, 354, 376, 10563, 510, 478, 424, 499, 482, 17432, 502, 422, 367, 510, 10563, 481, 486, 423, 350, 506, 424, 504, 368, 29030, 479, 361, 423, 355, 361, 425, 489, 364, 424, 375, 361, 29030, 493, 361, 14602, 372, 425, 488, 372, 32174, 478, 14091, 497, 365, 28990, 354, 17432, 510, 423, 499, 490, 423, 356, 486, 30319, 14091, 495, 502, 10563, 480, 361, 27338, 14602, 502, 21844, 365, 364, 423, 355, 361, 32174, 478, 21844, 372, 364, 424, 350, 368, 10563, 369, 506, 423, 490, 478, 423, 367, 368, 30319, 29030, 479, 364, 424, 356, 478, 10563, 366, 368, 425, 479, 361, 17432, 502, 29306, 361, 21844, 364, 365, 424, 489, 510, 17432, 506, 30319, 692, 20701, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 454, 5035, 8827, 912, 825, 1219, 9136, 27001, 27287, 32622, 4311, 267, 2212, 281, 8838, 1308, 314, 8266, 11966, 8079, 9847, 5903, 27776, 14158, 1038, 1101, 290, 335, 815, 910, 272, 454, 1038, 2063, 290, 335, 815, 910, 272, 454, 1038, 1295, 18850, 815, 476, 1911, 1822, 454, 1038, 3193, 18850, 815, 910, 272, 28329, 1038, 2063, 11749, 815, 910, 272, 454, 1038, 1225, 11966, 815, 2212, 28329, 1038, 7329, 343, 815, 910, 272, 454, 1038, 1247, 1225, 11966, 568, 711, 7183, 912, 2018, 7329, 343, 6834, 476, 272, 454, 2018, 1948, 2745, 263, 2017, 11966, 22183, 994, 27030, 2018, 952, 2063, 11749, 256, 15871, 272, 543, 1225, 11966, 12785, 568, 711, 7183, 543, 16733, 2017, 11966, 22183, 2999, 2063, 11749, 543, 1225, 11966, 22183, 2999, 1225, 11966, 12785, 22183, 264, 610, 476, 630, 2017, 11966, 22183, 3436, 2063, 11749, 543, 1225, 11966, 22183, 3436, 1225, 11966, 12785, 22183, 15892, 4449, 454, 4449, 454, 3546, 952, 1101, 290, 335, 2652, 910, 272, 912, 7386, 1101, 290, 335, 815, 7329, 343, 454, 3546, 3116, 912, 7386, 952, 7329, 343, 910, 2063, 290, 335, 2999, 1295, 18850, 912, 13376, 1295, 18850, 815, 7329, 343, 910, 2063, 290, 335, 454, 4449, 13872, 7386, 952, 7329, 343, 910, 14140, 290, 335, 3436, 3193, 18850, 912, 13376, 3193, 18850, 815, 7329, 343, 910, 1101, 290, 335, 454, 27030, 3546, 2063, 290, 335, 815, 7329, 343, 454, 2018, 2063, 11749, 815, 1225, 11966, 22183, 454, 2018, 1225, 11966, 815, 1225, 11966, 12785, 454, 27030, 1038, 952, 1295, 18850, 2652, 476, 1911, 1822, 912, 2018, 2132, 30585, 272, 267, 910, 272, 2639, 1038, 3116, 912, 2018, 2132, 1496, 2381, 18850, 267, 3193, 18850, 2639, 13872, 13872, 4449, 454, 4449, 454, 4449, 454, 0, 12163, 424, 352, 376, 424, 484, 490, 281, 4179, 2517, 4178, 19544, 871, 518, 17213, 2593, 270, 577, 718, 10622, 270, 531, 2865, 1606, 9285, 24579, 12378, 454, 12163, 26611, 16535, 270, 7090, 274, 692, 5814, 2979, 454, 5814, 15259, 454, 5814, 4351, 454, 5814, 556, 454, 5814, 19523, 692, 258, 13159, 519, 3592, 306, 9285, 1599, 2630, 563, 3698, 3592, 306, 9285, 19906, 2187, 825, 1101, 815, 11713, 825, 1439, 815, 11713, 825, 2063, 815, 910, 272, 692, 825, 585, 1775, 538, 2039, 12759, 19906, 9984, 272, 2187, 1038, 952, 2855, 5157, 316, 285, 1551, 5157, 266, 272, 14158, 2018, 952, 7003, 6600, 1009, 264, 2525, 271, 912, 3546, 1101, 6910, 9217, 994, 3546, 1101, 6910, 9217, 266, 272, 994, 2018, 8640, 1101, 314, 272, 316, 2525, 328, 912, 3546, 1101, 314, 272, 24557, 328, 266, 272, 454, 2018, 8640, 7003, 263, 754, 264, 2525, 271, 912, 3546, 952, 1101, 314, 272, 316, 268, 14140, 314, 271, 316, 285, 272, 912, 7386, 1820, 2891, 7224, 5602, 7386, 2132, 454, 3546, 3116, 912, 7386, 1439, 6910, 9217, 994, 7386, 1439, 6910, 9217, 266, 272, 994, 2018, 8640, 1439, 314, 272, 316, 2525, 328, 912, 3546, 1439, 314, 272, 316, 815, 1775, 266, 272, 454, 2018, 3116, 912, 3546, 1820, 2891, 7224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4977, 2594, 540, 519, 3140, 4906, 543, 519, 24347, 4301, 6520, 563, 6624, 4610, 540, 1353, 12732, 519, 6426, 543, 1686, 267, 971, 4610, 2039, 689, 18840, 1108, 543, 17651, 547, 23316, 543, 13354, 3332, 269, 18623, 849, 4983, 519, 3140, 2796, 540, 6426, 15102, 267, 519, 2956, 607, 8282, 547, 2621, 676, 519, 4589, 267, 543, 519, 4334, 1063, 519, 11673, 540, 891, 2621, 543, 824, 3140, 2963, 563, 19425, 2801, 1670, 8906, 2094, 519, 476, 866, 628, 2540, 616, 1930, 547, 7664, 267, 855, 17618, 6340, 789, 22937, 1489, 547, 1906, 540, 519, 6196, 11620, 781, 3140, 6386, 543, 2709, 2963, 547, 4161, 1866, 16804, 320, 6012, 321, 6012, 322, 6012, 323, 2639, 25802, 1906, 5931, 7639, 2047, 689, 25196, 281, 1034, 723, 1044, 23652, 1107, 930, 267, 1082, 2053, 269, 1677, 3313, 519, 6111, 540, 513, 23652, 12377, 267, 21849, 13915, 4983, 519, 1259, 519, 31286, 723, 5293, 998, 1686, 547, 741, 31607, 3029, 269, 634, 2362, 519, 11007, 540, 519, 9998, 5931, 267, 519, 3152, 741, 21849, 10727, 267, 543, 519, 1447, 4960, 602, 519, 1543, 814, 1044, 4957, 936, 519, 1296, 269, 13038, 12215, 949, 849, 581, 19882, 883, 1257, 2010, 630, 5408, 1715, 11620, 1257, 2010, 1070, 609, 930, 2010, 24565, 6251, 547, 519, 19858, 3312, 982, 1866, 563, 288, 3844, 30361, 540, 519, 6426, 781, 3140, 6392, 729, 519, 2245, 602, 621, 1185, 1044, 7768, 676, 519, 9030, 11051, 610, 2363, 1168, 5893, 525, 547, 519, 2621, 4330, 1107, 519, 19999, 622, 1276, 729, 519, 960, 540, 15584, 267, 26056, 729, 676, 26056, 267, 543, 865, 593, 269, 1809, 519, 17557, 26746, 1185, 4547, 519, 4890, 5931, 547, 513, 1454, 9962, 5304, 267, 799, 5916, 609, 519, 3395, 2916, 540, 7214, 7542, 618, 538, 519, 476, 1704, 628, 2540, 602, 729, 519, 1376, 540, 519, 6520, 540, 21654, 28520, 513, 10792, 521, 1061, 673, 30425, 593, 891, 2757, 6811, 269, 769, 17557, 4789, 519, 14544, 7338, 20122, 15816, 538, 1010, 2101, 960, 2274, 12858, 11936, 630, 13679, 272, 264, 17792, 631, 6242, 545, 4589, 1222, 540, 519, 19999, 622, 1276, 267, 543, 4857, 26056, 267, 7225, 2471, 267, 15656, 267, 18301, 543, 20048, 2873, 607, 2348, 1044, 2854, 1279, 1310, 519, 2621, 789, 1625, 19959, 547, 4766, 269, 3571, 8753, 1964, 539, 593, 4835, 21849, 2963, 267, 855, 538, 606, 4661, 602, 24889, 609, 2413, 9840, 267, 646, 7074, 281, 834, 8005, 941, 519, 3312, 5830, 540, 519, 1896, 7734, 540, 10513, 23075, 267, 814, 711, 1044, 1500, 10423, 676, 1022, 6190, 21981, 540, 824, 3778, 267, 799, 568, 519, 1152, 6169, 540, 2339, 540, 1249, 282, 4840, 763, 8313, 540, 6276, 670, 583, 2023, 781, 7869, 540, 519, 3047, 538, 476, 9965, 279, 729, 606, 1271, 1646, 538, 519, 3621, 4838, 602, 1131, 546, 996, 337, 821, 19606, 607, 519, 10700, 6392, 593, 6305, 1998, 3618, 543, 840, 20931, 269, 634, 1101, 13680, 1399, 729, 519, 20520, 1650, 3294, 267, 543, 676, 519, 2038, 476, 866, 628, 2540, 834, 7224, 3743, 10196, 733, 2105, 585, 519, 21055, 17258, 540, 519, 631, 6242, 545, 2272, 540, 5137, 1701, 634, 6370, 1063, 7833, 23540, 543, 15166, 5268, 1143, 6854, 519, 24627, 9800, 538, 519, 6932, 9015, 267, 2394, 14088, 20767, 326, 19213, 267, 519, 7022, 540, 519, 24959, 5980, 267, 15597, 973, 5896, 1010, 3105, 1489, 538, 1010, 476, 8146, 272, 16232, 2232, 912, 2171, 11129, 8197, 547, 723, 17328, 4310, 1354, 649, 1101, 7550, 519, 8920, 12320, 1014, 3069, 267, 543, 5219, 782, 938, 2025, 21603, 18574, 547, 519, 2962, 540, 519, 631, 6242, 545, 24627, 269, 1280, 540, 812, 267, 543, 519, 1568, 540, 1010, 3946, 267, 649, 723, 711, 2943, 1336, 513, 2582, 10250, 1851, 519, 24790, 540, 519, 5449, 1158, 1303, 4861, 539, 538, 1346, 12074, 563, 5472, 540, 799, 2451, 519, 834, 14140, 812, 257, 543, 1010, 2322, 894, 18939, 538, 519, 26101, 2990, 540, 1373, 4174, 5529, 540, 782, 3140, 2796, 267, 2394, 8176, 16817, 2067, 1242, 519, 12567, 540, 3798, 523, 609, 519, 8313, 540, 2201, 634, 18882, 540, 15661, 538, 476, 6977, 280, 269, 5398, 10343, 540, 713, 3621, 4838, 729, 267, 693, 519, 942, 267, 19514, 267, 855, 814, 2094, 6738, 3648, 269, 634, 13416, 14046, 2146, 4166, 8452, 693, 513, 13618, 267, 799, 6585, 2221, 267, 602, 19606, 476, 272, 1700, 1556, 568, 513, 3810, 28176, 5339, 960, 8204, 18381, 270, 22131, 26382, 13299, 2864, 982, 4890, 1686, 610, 2257, 563, 1103, 519, 1739, 5756, 19555, 2335, 717, 6064, 601, 16668, 3007, 547, 519, 7242, 545, 3344, 540, 519, 19999, 622, 1276, 267, 543, 1325, 3691, 19816, 16816, 267, 9410, 715, 1054, 543, 519, 2245, 1686, 1153, 11130, 602, 4352, 922, 4295, 5389, 1185, 22992, 3504, 5072, 267, 519, 6386, 941, 14070, 25194, 3457, 543, 941, 711, 5497, 607, 1686, 538, 519, 2413, 2631, 269, 9282, 22027, 723, 1044, 5641, 593, 519, 2351, 328, 4919, 10411, 15297, 540, 713, 1153, 630, 31860, 519, 10206, 540, 5711, 5389, 607, 513, 3119, 3504, 2707, 1070, 1454, 540, 922, 16472, 540, 13400, 8978, 640, 1336, 2647, 10343, 269, 717, 6064, 601, 781, 8343, 602, 454, 604, 267, 2705, 267, 649, 2015, 5515, 899, 14062, 267, 9129, 659, 267, 543, 15243, 547, 581, 4890, 7606, 609, 1100, 3312, 7242, 545, 13210, 267, 602, 1281, 711, 693, 782, 1611, 602, 789, 616, 3140, 5515, 3267, 1280, 1256, 952, 267, 607, 949, 1134, 581, 10924, 267, 972, 729, 2899, 513, 812, 1289, 1412, 288, 3630, 5069, 10086, 3025, 945, 6487, 519, 1686, 540, 17691, 568, 2386, 602, 519, 10828, 568, 538, 1100, 2990, 693, 519, 3845, 540, 865, 1082, 5553, 547, 8190, 513, 4605, 540, 519, 2123, 14039, 1214, 540, 14062, 269, 634, 1412, 516, 5554, 542, 540, 14062, 262, 568, 267, 538, 4641, 267, 519, 4984, 540, 519, 10828, 1936, 2209, 799, 789, 14487, 547, 14062, 454, 13757, 538, 1585, 3029, 1831, 513, 28125, 540, 4207, 9880, 16804, 325, 2639, 1103, 519, 2136, 2276, 519, 13400, 22884, 3350, 267, 896, 519, 3310, 540, 1325, 1962, 697, 267, 4831, 3430, 17977, 267, 19163, 602, 519, 3376, 7291, 1369, 519, 25194, 6386, 729, 849, 3020, 267, 865, 602, 1247, 5640, 1223, 711, 1483, 12264, 2503, 547, 6961, 610, 16355, 557, 1367, 14501, 689, 519, 1272, 540, 14062, 543, 519, 824, 24663, 338, 267, 891, 941, 1483, 2043, 945, 1223, 581, 5116, 538, 513, 2796, 8810, 689, 519, 15456, 2594, 269, 1809, 607, 811, 8906, 941, 1500, 267, 543, 17191, 9060, 8959, 547, 1570, 1047, 267, 621, 2968, 7805, 602, 22884, 1705, 711, 538, 1249, 1489, 519, 6811, 1500, 676, 1325, 1962, 697, 543, 1010, 13794, 269, 4653, 267, 1152, 513, 12102, 540, 5640, 3136, 547, 960, 1369, 713, 5943, 267, 5631, 585, 4128, 540, 3909, 24235, 269, 5261, 667, 1197, 7150, 538, 476, 1960, 274, 602, 454, 314, 2704, 1962, 697, 781, 316, 3844, 519, 4513, 723, 782, 1044, 16765, 29354, 267, 14356, 676, 2417, 8441, 538, 19978, 9880, 267, 855, 6140, 676, 519, 11173, 15456, 1382, 540, 7820, 4892, 543, 5840, 529, 547, 7247, 646, 5128, 5795, 19015, 543, 11610, 3267, 634, 20451, 568, 602, 267, 538, 519, 1279, 2196, 267, 621, 786, 723, 1044, 519, 18960, 1412, 572, 4788, 262, 22884, 602, 8329, 519, 1034, 547, 19978, 2090, 267, 711, 1412, 289, 10041, 22884, 23823, 7197, 2413, 5640, 3180, 602, 519, 28138, 20227, 6589, 941, 2854, 1063, 476, 3583, 543, 476, 1911, 610, 476, 8099, 9460, 267, 2185, 547, 5216, 5756, 1310, 519, 16961, 32267, 542, 267, 4352, 1759, 593, 4505, 5389, 543, 5931, 267, 971, 607, 834, 304, 2580, 8298, 807, 610, 2161, 902, 575, 28145, 267, 519, 6612, 2272, 610, 824, 4505, 3332, 630, 8450, 5903, 540, 717, 28145, 1040, 2368, 5640, 8044, 602, 891, 6589, 941, 16432, 676, 22168, 4352, 713, 2070, 568, 31713, 676, 824, 5640, 269, 1703, 616, 849, 16712, 8100, 547, 4906, 267, 4352, 789, 616, 1906, 543, 3833, 3735, 563, 6624, 5640, 723, 11329, 856, 602, 519, 20227, 540, 4460, 2982, 4191, 540, 513, 3668, 540, 1702, 540, 10923, 267, 2797, 543, 3909, 6927, 538, 7225, 20660, 538, 519, 942, 540, 4906, 269, 4935, 267, 2221, 519, 1034, 1455, 6644, 568, 602, 519, 2278, 568, 7164, 543, 1312, 32321, 543, 13840, 693, 513, 3845, 547, 519, 1936, 730, 2621, 4352, 6644, 9775, 543, 5640, 971, 607, 30621, 2349, 558, 6199, 3398, 519, 811, 2757, 2070, 269, 634, 946, 540, 7215, 602, 949, 581, 4330, 607, 26101, 543, 15309, 545, 2014, 519, 20227, 540, 4460, 547, 2408, 10169, 25793, 1777, 1229, 610, 1256, 19020, 269, 901, 949, 581, 11911, 547, 519, 3310, 602, 12142, 8834, 267, 513, 13278, 2006, 267, 568, 6700, 547, 723, 593, 519, 1603, 540, 4460, 269, 898, 568, 4122, 2219, 602, 519, 5830, 540, 519, 20227, 540, 15623, 543, 20227, 540, 19279, 1031, 4460, 607, 513, 2707, 267, 609, 2242, 543, 6454, 547, 15116, 885, 543, 1835, 644, 885, 538, 4460, 563, 289, 10041, 22884, 814, 5280, 721, 1174, 513, 2603, 827, 519, 1158, 540, 519, 6426, 543, 5587, 1881, 513, 9645, 2179, 540, 1018, 649, 1265, 538, 519, 6426, 269, 1809, 519, 15456, 2594, 814, 711, 1044, 7874, 585, 835, 4105, 3390, 267, 5840, 781, 8129, 281, 519, 1974, 540, 8474, 538, 5527, 267, 519, 2527, 22576, 540, 5840, 924, 10437, 689, 5527, 267, 543, 519, 10795, 21037, 540, 519, 2244, 540, 2052, 22528, 676, 519, 25232, 269, 634, 2178, 13618, 568, 602, 972, 568, 693, 1655, 23661, 9940, 2963, 585, 891, 13400, 14501, 267, 543, 585, 519, 21037, 972, 568, 9645, 2963, 1996, 621, 563, 1765, 8834, 2037, 985, 563, 763, 13416, 2070, 540, 2565, 13400, 14172, 24693, 602, 19606, 11219, 9655, 7699, 630, 704, 4257, 7225, 2471, 264, 568, 15186, 27507, 540, 6325, 1686, 543, 602, 621, 729, 538, 519, 14655, 1974, 602, 519, 13557, 540, 12355, 6426, 3332, 729, 2901, 7768, 610, 6913, 922, 28138, 3337, 454, 1765, 17722, 5096, 625, 563, 3891, 524, 2572, 519, 1249, 1765, 852, 7608, 676, 1034, 24085, 20196, 1082, 540, 519, 4872, 26056, 568, 9277, 547, 723, 521, 17977, 538, 519, 3735, 476, 1724, 628, 2540, 536, 6983, 269, 1185, 30403, 547, 2291, 676, 602, 942, 269, 18171, 528, 729, 10032, 538, 519, 1647, 540, 602, 2540, 267, 543, 589, 328, 729, 14460, 1354, 476, 1220, 271, 536, 6983, 269, 4634, 7603, 747, 334, 267, 1141, 26056, 568, 1767, 547, 723, 4547, 519, 6821, 512, 22824, 1524, 676, 4963, 743, 532, 519, 2749, 5722, 2053, 609, 1025, 2130, 25041, 1115, 267, 729, 10032, 538, 476, 5611, 271, 536, 6983, 269, 3767, 6417, 676, 519, 24752, 16958, 267, 519, 7603, 747, 334, 3135, 5161, 540, 1835, 22824, 29365, 543, 512, 29168, 602, 1449, 1518, 547, 513, 2540, 540, 4829, 1652, 20857, 563, 1765, 26391, 28615, 563, 3383, 4352, 1454, 540, 519, 15456, 2963, 9727, 602, 519, 12355, 6426, 3112, 538, 1034, 2665, 581, 3144, 12777, 267, 1082, 540, 519, 1004, 267, 4025, 543, 1919, 4440, 1705, 2291, 693, 930, 942, 610, 1776, 563, 1765, 22189, 7812, 563, 3719, 2576, 949, 2307, 281, 1412, 3674, 711, 23075, 10353, 547, 1346, 945, 3180, 602, 13140, 568, 20085, 267, 950, 621, 3081, 267, 945, 21018, 856, 13140, 899, 513, 2960, 286, 262, 2913, 621, 581, 10353, 8197, 952, 741, 3948, 568, 7301, 2807, 1809, 952, 789, 616, 2111, 547, 3715, 741, 14985, 609, 15997, 602, 3112, 581, 17792, 267, 649, 1590, 1397, 602, 713, 3948, 540, 23075, 827, 519, 2960, 568, 711, 10353, 547, 519, 5168, 540, 741, 8753, 454, 1765, 16026, 8479, 563, 314, 293, 316, 528, 711, 1152, 814, 834, 1105, 2801, 1108, 257, 711, 8810, 513, 2582, 2680, 540, 519, 30013, 2245, 547, 581, 3140, 267, 621, 814, 711, 3254, 1022, 540, 519, 5389, 547, 581, 2693, 3267, 621, 1590, 581, 11943, 602, 1022, 971, 8978, 640, 607, 568, 4122, 9275, 540, 538, 1312, 14046, 543, 2442, 1568, 827, 519, 24663, 338, 540, 19606, 568, 15991, 2009, 543, 11207, 1561, 321, 762, 563, 1765, 7338, 16399, 269, 0, 763, 2090, 1031, 547, 2932, 519, 2689, 5097, 2838, 5396, 547, 8532, 513, 1970, 267, 5420, 267, 610, 1804, 2179, 540, 23342, 538, 519, 1106, 540, 513, 4235, 610, 3046, 540, 10217, 585, 513, 1974, 540, 2947, 2395, 547, 1614, 2395, 269, 3923, 269, 12207, 723, 1336, 602, 972, 568, 2614, 2963, 547, 1489, 519, 1072, 6811, 11911, 547, 23342, 267, 543, 538, 1880, 519, 7657, 12935, 7135, 621, 3568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17162, 543, 667, 304, 4559, 6606, 798, 711, 991, 547, 581, 2366, 936, 519, 3060, 269, 901, 15652, 5012, 547, 519, 3892, 540, 519, 24913, 607, 3254, 538, 3349, 476, 272, 563, 8368, 476, 272, 281, 4518, 2903, 585, 9136, 476, 272, 267, 476, 273, 543, 476, 274, 538, 519, 31179, 9680, 1232, 18344, 563, 347, 11966, 1475, 3721, 338, 1341, 24913, 4939, 1475, 13707, 24913, 4939, 2008, 347, 272, 1475, 309, 17162, 630, 3374, 8472, 1341, 2098, 313, 630, 276, 8472, 1341, 667, 304, 630, 1015, 8472, 1475, 2004, 260, 2008, 347, 274, 1475, 21760, 7503, 630, 1428, 8472, 1341, 1234, 4650, 630, 1428, 8472, 1475, 1789, 260, 2008, 8368, 476, 273, 6257, 519, 6119, 543, 32766, 538, 1547, 270, 322, 318, 2889, 326, 7933, 329, 701, 326, 318, 7825, 2354, 563, 8368, 476, 273, 281, 11137, 540, 519, 6119, 543, 32766, 538, 1547, 270, 322, 318, 2889, 326, 7933, 329, 701, 326, 318, 7825, 2354, 563, 347, 17572, 1475, 6944, 757, 1315, 3483, 2008, 347, 270, 323, 7927, 1475, 3519, 13935, 519, 6119, 544, 2354, 318, 1090, 11859, 311, 344, 312, 6155, 2794, 267, 799, 2285, 519, 1239, 3965, 9115, 1310, 513, 11191, 814, 8694, 585, 9136, 630, 311, 267, 312, 1040, 1452, 6119, 616, 6410, 547, 519, 17835, 8850, 952, 519, 12380, 7387, 7097, 12373, 764, 568, 1031, 8198, 347, 270, 9987, 1475, 1607, 17835, 3568, 519, 11191, 2164, 540, 519, 31179, 9680, 1232, 18344, 585, 606, 1383, 3239, 8198, 347, 270, 27161, 11859, 311, 344, 312, 1475, 2252, 519, 12380, 7387, 7097, 2915, 764, 568, 1031, 267, 1287, 513, 6843, 12958, 6119, 3957, 3977, 15461, 318, 271, 343, 4696, 11403, 12500, 514, 269, 634, 3758, 3568, 519, 1239, 519, 6843, 6836, 547, 6494, 547, 519, 6843, 609, 3448, 2232, 5084, 11403, 269, 6423, 519, 1985, 3184, 585, 811, 1344, 593, 519, 2915, 764, 7097, 610, 2638, 856, 519, 2985, 593, 519, 595, 18058, 5399, 585, 811, 1344, 593, 519, 3977, 3562, 1922, 850, 12588, 8198, 347, 270, 11687, 318, 30502, 1475, 3519, 13935, 31179, 9680, 2592, 602, 666, 581, 1031, 547, 1449, 519, 1232, 18344, 8198, 347, 10233, 30818, 1475, 3519, 13935, 2681, 318, 935, 11437, 3890, 602, 17838, 962, 10013, 4778, 547, 741, 681, 16412, 5973, 757, 8198, 347, 19061, 6119, 602, 4766, 519, 31179, 9680, 1232, 18344, 538, 519, 12380, 5752, 1604, 737, 16467, 8198, 347, 27594, 764, 1475, 8196, 519, 7097, 2915, 764, 547, 29289, 543, 2196, 519, 31179, 9680, 1232, 18344, 689, 519, 12380, 7387, 1210, 575, 764, 269, 898, 3096, 5269, 12803, 547, 29289, 543, 556, 12849, 519, 3977, 6119, 538, 971, 513, 1259, 602, 519, 10618, 4806, 13269, 538, 4137, 476, 272, 568, 6913, 630, 5408, 5037, 476, 272, 269, 275, 540, 519, 595, 10618, 5399, 585, 811, 1344, 593, 875, 2792, 11191, 3842, 6119, 1568, 1040, 634, 7097, 568, 585, 519, 476, 273, 8386, 268, 273, 544, 11085, 4916, 715, 8016, 8198, 347, 323, 565, 764, 1475, 8196, 519, 7097, 12373, 764, 2473, 547, 29289, 519, 31179, 9680, 1232, 18344, 1210, 561, 764, 543, 2196, 513, 11191, 585, 2473, 3764, 269, 634, 7097, 568, 585, 519, 476, 273, 8386, 268, 273, 544, 11085, 4916, 715, 8016, 8198, 347, 323, 2794, 1475, 323, 2794, 568, 1031, 538, 519, 20072, 12373, 764, 547, 1711, 543, 3355, 1125, 519, 6843, 1239, 8823, 8198, 347, 9724, 318, 842, 16182, 551, 30818, 1475, 1103, 2091, 2598, 4740, 15328, 710, 17992, 630, 2839, 6311, 264, 1210, 6715, 619, 8198, 8110, 13257, 519, 24438, 3259, 29852, 630, 309, 17162, 1070, 2098, 580, 345, 698, 11571, 630, 313, 313, 264, 543, 1546, 31642, 1436, 630, 291, 304, 1070, 1294, 849, 4137, 476, 272, 563, 347, 329, 701, 326, 19544, 1475, 17746, 1218, 267, 840, 15263, 528, 6698, 543, 1239, 3889, 1455, 547, 782, 9136, 8198, 347, 13014, 12803, 1475, 5825, 539, 676, 519, 7097, 1547, 270, 27594, 764, 547, 29289, 519, 9136, 1210, 575, 764, 8198, 347, 332, 2354, 1475, 5649, 344, 547, 946, 8800, 1138, 15975, 585, 513, 476, 273, 343, 273, 544, 300, 2354, 715, 8016, 2008, 347, 332, 2354, 318, 1090, 269, 24105, 12500, 514, 1475, 10387, 27679, 1239, 3965, 799, 568, 1031, 676, 519, 7097, 12373, 764, 547, 3355, 1125, 519, 1239, 8823, 8198, 347, 27785, 30818, 1475, 3519, 13935, 544, 1326, 322, 3890, 799, 2636, 3252, 1369, 1900, 272, 6983, 1569, 547, 519, 3403, 3239, 269, 4746, 3568, 930, 824, 3252, 602, 4125, 13098, 1324, 1808, 1239, 689, 519, 3239, 8198, 347, 21163, 311, 30818, 1475, 3519, 13935, 519, 1599, 1292, 3890, 585, 6843, 2473, 269, 6423, 4137, 476, 272, 585, 513, 6609, 540, 519, 31179, 9680, 29852, 3268, 5340, 676, 1142, 6843, 8198, 347, 1598, 902, 11075, 1475, 291, 7927, 519, 3977, 540, 544, 2745, 325, 3890, 585, 1142, 6843, 269, 4595, 519, 544, 11085, 4916, 715, 8016, 1281, 711, 723, 513, 12363, 267, 519, 1820, 325, 3890, 804, 821, 544, 2745, 325, 3890, 568, 1031, 547, 3977, 547, 3965, 8198, 347, 15711, 337, 2120, 30818, 1475, 15761, 847, 338, 513, 2070, 762, 3787, 14090, 3239, 689, 519, 3965, 29746, 540, 519, 519, 2063, 6843, 1315, 1900, 538, 519, 31179, 9680, 29852, 1184, 8198, 347, 29728, 24449, 671, 30818, 1475, 24478, 525, 519, 670, 4428, 2006, 3349, 8198, 763, 2959, 540, 519, 3818, 3491, 19485, 31179, 9680, 1232, 18344, 616, 4092, 538, 1547, 270, 322, 318, 2889, 326, 7933, 329, 701, 326, 318, 7825, 2354, 269, 634, 28094, 3268, 2877, 547, 29289, 519, 31179, 9680, 1232, 18344, 616, 13380, 547, 1346, 585, 575, 1601, 760, 269, 634, 28094, 1184, 543, 2196, 2010, 585, 575, 1601, 760, 616, 5941, 538, 519, 3498, 1374, 2095, 269, 1411, 991, 547, 1118, 1906, 12381, 547, 519, 595, 2959, 543, 7387, 20072, 952, 596, 1616, 547, 1689, 519, 3403, 3239, 540, 519, 31179, 9680, 1232, 18344, 610, 1689, 519, 3965, 11768, 540, 519, 544, 11085, 4916, 525, 563, 288, 1689, 540, 3403, 3239, 3322, 519, 1739, 2242, 547, 519, 2707, 3009, 543, 20072, 912, 763, 1016, 19507, 619, 2915, 764, 543, 12373, 764, 538, 519, 17835, 1547, 270, 322, 318, 2889, 326, 7933, 329, 701, 326, 318, 7825, 2354, 270, 9987, 2270, 519, 3977, 540, 513, 2196, 540, 12373, 764, 543, 2915, 764, 6606, 585, 513, 476, 3953, 343, 2190, 19641, 2681, 31179, 9680, 3239, 540, 513, 1147, 2536, 630, 5408, 4137, 476, 273, 1916, 12179, 3977, 2854, 547, 31901, 719, 610, 588, 1457, 337, 1282, 519, 11056, 540, 891, 20072, 729, 10710, 538, 519, 3758, 3977, 5334, 584, 2536, 17902, 269, 1280, 12373, 764, 519, 546, 7927, 1016, 19507, 518, 3568, 519, 9115, 540, 519, 1239, 8823, 540, 519, 544, 11085, 4916, 525, 1310, 12032, 269, 634, 3977, 3787, 14090, 568, 538, 519, 1239, 3965, 3758, 544, 2354, 318, 1090, 11859, 271, 344, 272, 6155, 2794, 4098, 693, 2232, 476, 271, 343, 271, 676, 9949, 269, 737, 28411, 539, 527, 630, 534, 2473, 4149, 13996, 899, 9966, 2719, 12704, 1401, 3865, 568, 2877, 264, 666, 581, 1031, 547, 13182, 602, 621, 568, 4010, 519, 1482, 607, 519, 3758, 3977, 269, 6652, 602, 2915, 764, 12958, 630, 5408, 1985, 1040, 634, 16105, 540, 519, 670, 13052, 24737, 3218, 568, 737, 28411, 539, 527, 2999, 16344, 17575, 20101, 1280, 2915, 764, 519, 6843, 11859, 311, 344, 312, 1016, 19507, 619, 2270, 1022, 1239, 602, 729, 2366, 543, 3977, 269, 6652, 568, 519, 4611, 3787, 14090, 630, 514, 6129, 678, 2120, 3898, 1040, 1411, 666, 2070, 519, 3977, 3758, 609, 552, 690, 630, 292, 6614, 540, 717, 333, 727, 264, 952, 596, 723, 606, 2473, 4149, 13996, 899, 9966, 2719, 12704, 1401, 3865, 1210, 519, 4971, 281, 552, 690, 3977, 269, 6652, 1299, 454, 763, 29852, 540, 1147, 2536, 27970, 593, 513, 476, 273, 343, 273, 544, 11085, 4916, 715, 8016, 1210, 519, 8800, 1138, 15975, 3576, 476, 3066, 3108, 593, 513, 19999, 1756, 8633, 476, 272, 294, 13703, 16267, 4881, 717, 26214, 13624, 514, 5060, 476, 273, 269, 275, 269, 736, 609, 476, 14225, 279, 15406, 540, 20433, 269, 901, 1184, 519, 3576, 476, 2568, 275, 1984, 1047, 6948, 593, 519, 4890, 674, 303, 16598, 6388, 269, 901, 11191, 3432, 949, 581, 1932, 1970, 585, 930, 3871, 269, 634, 1292, 1079, 4128, 585, 519, 1970, 11191, 3432, 616, 519, 4783, 14092, 2017, 622, 21512, 299, 1377, 11191, 543, 519, 3668, 540, 513, 9062, 6044, 269, 18641, 267, 972, 616, 513, 1297, 540, 1919, 649, 666, 798, 547, 2087, 519, 2773, 540, 519, 1138, 15975, 563, 288, 5488, 1138, 15975, 568, 835, 540, 519, 3853, 585, 519, 2104, 269, 0, 4002, 476, 273, 2904, 476, 1220, 279, 606, 2025, 15027, 1608, 1457, 320, 30192, 2673, 547, 519, 9381, 4884, 540, 932, 7159, 26408, 538, 7013, 16266, 563, 6187, 5437, 476, 1708, 271, 454, 4962, 2904, 476, 1220, 279, 454, 5415, 982, 476, 280, 267, 1822, 1296, 1310, 519, 2063, 20349, 267, 5458, 5666, 540, 11849, 543, 9362, 941, 30275, 539, 547, 1390, 15627, 585, 1896, 2395, 630, 13808, 568, 5571, 1256, 1256, 3275, 1310, 519, 1101, 20349, 1916, 2421, 17713, 30681, 681, 3996, 2993, 543, 808, 665, 1156, 918, 17064, 10458, 630, 292, 9331, 292, 4811, 2969, 994, 5278, 2592, 540, 519, 20349, 1397, 519, 5458, 15027, 6531, 630, 25899, 281, 1975, 20672, 601, 6732, 264, 9750, 693, 519, 21050, 18108, 267, 519, 535, 1170, 675, 538, 519, 1608, 1457, 320, 630, 338, 712, 337, 576, 281, 19499, 1729, 25661, 807, 264, 609, 519, 884, 9405, 11849, 267, 519, 23419, 26434, 630, 25899, 281, 8331, 264, 3144, 676, 589, 4306, 2207, 593, 8331, 781, 6833, 571, 543, 519, 726, 2541, 15385, 18335, 630, 25899, 281, 8331, 1040, 2859, 1344, 593, 519, 932, 7159, 26408, 18962, 949, 581, 1336, 693, 519, 8055, 5459, 2103, 6820, 26439, 1143, 5358, 4586, 4415, 5450, 324, 657, 520, 268, 280, 781, 8417, 547, 11849, 543, 14298, 273, 741, 3560, 2066, 519, 8828, 9533, 883, 519, 4095, 7909, 1223, 581, 16913, 936, 1896, 2395, 269, 634, 5662, 569, 5450, 324, 657, 520, 268, 280, 14318, 630, 274, 2904, 476, 6187, 281, 876, 27635, 1700, 6187, 2904, 476, 6021, 281, 876, 27635, 264, 2982, 519, 3355, 4720, 538, 513, 5311, 540, 519, 3044, 681, 16412, 7393, 519, 4527, 540, 11849, 543, 14298, 273, 269, 634, 476, 274, 16923, 569, 5450, 324, 657, 520, 268, 280, 14318, 630, 274, 2904, 476, 876, 281, 876, 27635, 1700, 6021, 2904, 476, 6187, 281, 876, 27635, 264, 568, 513, 3476, 5311, 693, 2539, 13796, 6571, 855, 17364, 1614, 811, 2395, 543, 519, 2898, 851, 540, 519, 7013, 21571, 4988, 676, 5450, 324, 657, 520, 268, 280, 563, 16248, 14604, 3144, 689, 519, 8545, 14318, 616, 1031, 547, 2582, 856, 513, 7008, 540, 14298, 273, 6786, 602, 11090, 519, 2489, 10009, 936, 519, 1858, 269, 2201, 7406, 476, 272, 630, 275, 2904, 476, 277, 281, 876, 27635, 264, 519, 5580, 2699, 15561, 7436, 513, 11909, 12258, 10696, 11849, 726, 2541, 543, 519, 2539, 2699, 15561, 2982, 519, 16977, 2990, 540, 513, 14298, 273, 6531, 269, 634, 4544, 15561, 2798, 547, 513, 2034, 267, 1769, 25984, 880, 14298, 273, 726, 2541, 563, 10521, 543, 513, 3368, 2395, 2663, 267, 593, 7406, 476, 273, 630, 277, 2904, 476, 2641, 281, 876, 27635, 264, 519, 1079, 14298, 273, 12269, 540, 519, 5449, 7406, 1847, 936, 547, 519, 29978, 540, 3162, 4000, 609, 519, 9757, 24551, 630, 1042, 323, 880, 15561, 1631, 5087, 540, 17824, 880, 835, 1040, 2311, 519, 1482, 942, 267, 936, 519, 14861, 710, 534, 9533, 5032, 2943, 1776, 932, 7159, 523, 726, 2541, 630, 3369, 527, 880, 15561, 264, 568, 17729, 1586, 8876, 11849, 543, 14298, 273, 563, 4407, 519, 14298, 273, 267, 6825, 609, 26070, 543, 17824, 880, 21985, 267, 2408, 547, 19467, 3001, 2417, 883, 519, 4095, 7909, 267, 593, 7406, 476, 274, 630, 280, 2904, 476, 6734, 281, 876, 27635, 264, 519, 14298, 273, 12268, 540, 519, 18335, 726, 2541, 814, 6410, 593, 513, 811, 7013, 3950, 630, 3369, 527, 880, 15561, 264, 982, 519, 15649, 2938, 1354, 269, 1715, 11849, 726, 6979, 3136, 547, 3382, 519, 5032, 689, 18335, 547, 7013, 8478, 269, 1703, 616, 824, 14298, 273, 15649, 538, 519, 5311, 602, 666, 581, 4553, 563, 5472, 538, 782, 267, 519, 24551, 5815, 5693, 519, 803, 663, 1359, 10009, 267, 1454, 538, 4334, 547, 519, 14298, 273, 13475, 936, 519, 3345, 9533, 1739, 519, 918, 553, 520, 5255, 328, 2680, 538, 4864, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1592, 8223, 2433, 1547, 271, 3953, 338, 454, 7090, 1107, 4786, 2433, 1547, 27157, 338, 454, 327, 2532, 749, 1107, 1592, 630, 14648, 264, 2433, 1547, 14028, 338, 454, 327, 2532, 749, 1107, 4786, 630, 5793, 2181, 1540, 264, 2433, 1547, 14028, 338, 454, 327, 2532, 749, 1107, 1592, 630, 4818, 6150, 264, 2433, 1547, 24879, 338, 454, 327, 2532, 749, 1107, 4786, 630, 4818, 6150, 264, 2433, 1547, 24879, 338, 692, 2026, 2141, 267, 2055, 267, 8292, 267, 543, 20286, 616, 9415, 269, 594, 4126, 3025, 786, 31799, 803, 585, 711, 20171, 585, 865, 1279, 1862, 3006, 1272, 4523, 780, 1012, 5741, 25586, 281, 9046, 476, 1691, 692, 10527, 1739, 27952, 5311, 568, 3989, 585, 519, 1305, 540, 2318, 9981, 281, 562, 9890, 562, 270, 273, 630, 333, 568, 1256, 264, 562, 9890, 476, 274, 333, 1341, 476, 272, 630, 333, 568, 9642, 1040, 476, 1109, 8794, 519, 4341, 1657, 543, 4358, 609, 476, 1724, 267, 649, 5352, 519, 1739, 5311, 281, 476, 1724, 9890, 476, 2412, 9890, 476, 736, 9890, 476, 1015, 9890, 476, 276, 9890, 476, 1626, 9890, 476, 279, 9890, 476, 275, 9890, 476, 273, 9890, 476, 272, 269, 476, 1109, 2005, 666, 581, 2938, 602, 713, 5311, 630, 11034, 532, 693, 476, 1724, 543, 18138, 693, 476, 272, 264, 3568, 476, 1015, 2474, 269, 476, 1109, 7212, 621, 814, 711, 1044, 9863, 2943, 630, 17686, 28739, 9046, 1070, 621, 568, 2219, 602, 782, 4358, 2338, 9096, 693, 476, 272, 269, 476, 1109, 7617, 4358, 1297, 267, 896, 835, 2929, 267, 7472, 519, 13074, 5832, 286, 476, 1109, 27237, 292, 281, 4495, 519, 5832, 6238, 519, 2474, 616, 4847, 547, 979, 1657, 835, 2929, 14325, 8253, 1082, 540, 596, 949, 581, 3222, 540, 713, 267, 855, 827, 513, 1032, 3516, 594, 5206, 909, 513, 5816, 2022, 602, 5941, 7502, 28739, 11800, 538, 670, 2532, 749, 269, 476, 1109, 2791, 666, 1265, 602, 2022, 1934, 281, 1547, 11109, 930, 540, 519, 3009, 2907, 2854, 1500, 4947, 909, 609, 519, 3070, 4443, 269, 476, 1109, 4913, 267, 1175, 1317, 594, 1185, 835, 1599, 3085, 1405, 1611, 594, 1185, 519, 2898, 1966, 561, 17673, 269, 476, 1109, 296, 1869, 1185, 513, 4023, 2179, 540, 960, 538, 4395, 540, 803, 269, 476, 1109, 19350, 568, 1250, 3009, 689, 519, 1101, 3801, 693, 513, 3070, 1384, 319, 7116, 2544, 6301, 1141, 1109, 1104, 4578, 269, 8266, 1109, 7798, 262, 26012, 6715, 518, 9847, 1496, 18204, 518, 316, 7798, 262, 476, 272, 815, 1496, 272, 316, 7798, 262, 562, 476, 1741, 1109, 347, 562, 10922, 476, 271, 815, 32582, 476, 1741, 1109, 347, 1256, 562, 815, 562, 2433, 5832, 262, 630, 333, 2387, 15965, 319, 476, 273, 264, 476, 1741, 1109, 347, 9642, 562, 815, 562, 2433, 5832, 262, 630, 333, 2608, 476, 274, 1341, 476, 272, 264, 1109, 1292, 26012, 594, 302, 20465, 1292, 815, 798, 476, 6892, 1109, 2280, 694, 336, 343, 815, 4786, 5832, 262, 1496, 274, 907, 1911, 1822, 271, 316, 476, 6892, 1109, 2280, 3259, 343, 815, 4786, 3259, 694, 336, 343, 476, 6892, 1109, 2745, 1547, 5021, 8096, 23407, 3259, 343, 694, 336, 343, 26384, 1607, 3009, 5526, 547, 581, 25401, 2953, 855, 729, 11212, 3500, 910, 865, 3500, 602, 1310, 936, 476, 273, 3764, 621, 1869, 22821, 1406, 6192, 269, 476, 1109, 296, 16153, 594, 666, 581, 513, 2370, 791, 520, 1304, 609, 891, 1919, 689, 942, 547, 942, 267, 855, 538, 713, 2013, 1945, 729, 15069, 4636, 780, 296, 25282, 1079, 5688, 3074, 1384, 1892, 681, 27654, 519, 1931, 540, 519, 1592, 269, 594, 786, 581, 811, 2693, 547, 1265, 519, 1297, 609, 519, 13074, 5832, 2282, 476, 272, 267, 1822, 267, 1822, 982, 476, 274, 563, 1892, 2422, 9642, 2338, 1152, 269, 901, 568, 1759, 593, 519, 1249, 602, 538, 519, 5832, 262, 1599, 606, 9642, 1297, 4991, 16611, 1318, 1055, 519, 10627, 267, 6466, 606, 1256, 1297, 568, 14678, 5258, 676, 476, 273, 267, 543, 849, 593, 519, 13429, 602, 513, 2362, 1297, 786, 581, 811, 2693, 547, 723, 513, 3476, 5832, 269, 476, 1109, 263, 296, 16153, 713, 729, 513, 2347, 4603, 910, 594, 1185, 1100, 6169, 602, 621, 1131, 960, 6619, 540, 942, 267, 543, 6785, 621, 5795, 803, 519, 1318, 2626, 1152, 1310, 519, 1249, 24355, 763, 3009, 1287, 2849, 335, 1117, 883, 1384, 319, 7116, 2544, 6301, 1141, 1109, 1104, 4578, 269, 8266, 1109, 7798, 262, 26012, 6715, 518, 9847, 1496, 18204, 518, 316, 7798, 262, 476, 272, 815, 1496, 272, 316, 7798, 262, 562, 476, 1741, 1109, 347, 562, 10922, 476, 271, 815, 32582, 476, 1741, 1109, 347, 1256, 562, 815, 562, 2433, 5832, 262, 630, 333, 2387, 15965, 319, 476, 273, 264, 476, 1741, 1109, 347, 9642, 562, 815, 562, 2433, 5832, 262, 630, 333, 2608, 476, 274, 1341, 476, 272, 264, 1109, 1292, 26012, 594, 302, 20465, 1292, 815, 798, 476, 6892, 1109, 2280, 694, 336, 343, 815, 4786, 5832, 262, 1496, 15886, 15886, 267, 15886, 4200, 278, 907, 274, 316, 476, 6892, 1109, 2280, 3259, 343, 815, 4786, 3259, 694, 336, 343, 476, 6892, 1109, 2745, 1547, 5021, 8096, 23407, 3259, 343, 694, 336, 343, 26384, 763, 1966, 594, 10443, 883, 609, 713, 3009, 729, 602, 594, 4607, 10518, 24492, 6959, 282, 1250, 1592, 540, 8913, 1255, 8066, 1776, 1279, 1592, 540, 703, 779, 729, 2921, 909, 547, 1454, 3965, 269, 476, 1109, 296, 6378, 713, 1966, 676, 7384, 519, 3259, 540, 519, 1592, 5612, 1310, 10451, 621, 269, 476, 1109, 763, 1007, 3009, 6743, 899, 713, 1384, 319, 5814, 4578, 269, 8266, 1109, 7798, 262, 26012, 6715, 518, 9847, 1496, 18204, 518, 316, 7798, 262, 476, 272, 815, 1496, 272, 316, 7798, 262, 562, 476, 1741, 1109, 347, 562, 10922, 476, 271, 815, 32582, 476, 1741, 1109, 347, 1256, 562, 815, 562, 2433, 5832, 262, 630, 333, 2387, 15965, 319, 476, 273, 264, 476, 1741, 1109, 347, 9642, 562, 815, 562, 2433, 5832, 262, 630, 333, 2608, 476, 274, 1341, 476, 272, 264, 1109, 1292, 26012, 594, 302, 20465, 1292, 815, 798, 476, 6892, 1109, 2280, 694, 336, 343, 815, 4786, 22570, 343, 9890, 630, 343, 267, 3259, 8096, 5832, 262, 1535, 264, 1496, 15886, 15886, 267, 15886, 4200, 278, 907, 274, 316, 476, 6892, 1109, 2745, 1547, 5021, 8096, 694, 336, 343, 26384, 1607, 3893, 803, 513, 1267, 1369, 519, 835, 8792, 942, 7406, 267, 855, 621, 1869, 7012, 1405, 519, 1318, 2626, 269, 476, 1109, 4692, 596, 4137, 856, 1946, 286, 476, 1109, 8794, 519, 1390, 3009, 808, 539, 2967, 11540, 538, 519, 8292, 540, 1250, 28833, 2845, 2022, 267, 594, 729, 2111, 547, 1205, 1250, 2626, 543, 6368, 2347, 519, 1966, 1384, 319, 7116, 2544, 6301, 1141, 476, 18987, 18987, 18987, 18987, 7673, 3396, 30336, 1109, 5814, 4578, 11053, 340, 921, 476, 1109, 5814, 4578, 269, 8266, 630, 338, 677, 3528, 264, 476, 1109, 5814, 4578, 12171, 4233, 630, 517, 264, 30336, 1109, 7798, 262, 26012, 6715, 518, 9847, 1496, 18204, 518, 316, 476, 1109, 7798, 262, 476, 272, 815, 1496, 272, 316, 476, 1109, 7798, 262, 562, 476, 1741, 1109, 347, 562, 10922, 476, 271, 815, 32582, 476, 1741, 1109, 347, 1256, 562, 815, 562, 2433, 5832, 262, 630, 333, 2387, 15965, 319, 476, 273, 264, 476, 1741, 1109, 347, 9642, 562, 815, 562, 2433, 5832, 262, 630, 333, 2608, 476, 274, 1341, 476, 272, 264, 30336, 1109, 10852, 26012, 594, 302, 20465, 476, 1109, 10852, 815, 798, 476, 3396, 1109, 2280, 694, 336, 343, 815, 4786, 22570, 343, 9847, 630, 343, 267, 3259, 8096, 5832, 262, 1535, 4297, 1496, 15886, 15886, 267, 15886, 4200, 278, 907, 274, 316, 476, 3396, 1109, 2745, 1547, 535, 560, 1547, 2212, 8096, 4990, 3528, 630, 4148, 760, 5635, 2387, 517, 319, 521, 526, 264, 694, 336, 343, 26384, 5475, 23115, 602, 856, 267, 3478, 519, 9226, 2626, 729, 513, 30089, 1384, 319, 26611, 23591, 24800, 270, 7090, 18851, 23911, 3070, 585, 5741, 25586, 1966, 1948, 1691, 27969, 1109, 5228, 621, 1068, 8962, 1104, 708, 777, 1109, 3698, 5311, 28840, 2567, 825, 512, 19571, 815, 1297, 825, 1293, 815, 476, 272, 1109, 825, 1247, 6025, 19571, 3436, 476, 272, 2567, 1038, 952, 512, 19571, 4939, 476, 273, 2652, 476, 271, 281, 2018, 512, 19571, 1315, 284, 476, 273, 1038, 3116, 281, 2018, 512, 19571, 815, 630, 339, 19571, 2608, 476, 274, 264, 1341, 476, 272, 1109, 1038, 1293, 6834, 476, 272, 1109, 825, 2132, 630, 12248, 267, 1297, 264, 1109, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 9899, 476, 1820, 3193, 263, 574, 777, 263, 30084, 267, 1535, 9792, 263, 15886, 15886, 267, 274, 16427, 273, 4297, 23375, 692, 2080, 616, 519, 3432, 2338, 912, 23911, 2433, 476, 1240, 269, 276, 4391, 338, 454, 319, 7116, 2544, 6301, 1141, 1109, 1104, 4578, 11053, 340, 921, 1104, 4578, 269, 8266, 630, 338, 677, 3528, 267, 621, 4733, 264, 1104, 4578, 12171, 4233, 630, 517, 264, 1109, 5832, 262, 26012, 6715, 518, 9847, 2271, 5832, 262, 562, 30336, 6892, 1109, 347, 562, 2999, 476, 272, 815, 476, 271, 476, 6892, 1109, 347, 6382, 815, 476, 272, 1341, 630, 26319, 8096, 630, 339, 820, 4407, 630, 3436, 476, 272, 264, 8096, 621, 4733, 22570, 343, 9847, 952, 1256, 1535, 1287, 1535, 2387, 15965, 319, 476, 273, 3116, 1535, 2608, 476, 274, 1341, 476, 272, 264, 562, 4297, 1109, 1292, 26012, 594, 302, 20465, 1292, 815, 798, 476, 6892, 1109, 2280, 694, 336, 343, 815, 4786, 22570, 343, 9847, 630, 343, 267, 5832, 262, 1535, 4297, 1496, 15886, 15886, 267, 15886, 4200, 278, 907, 274, 316, 476, 6892, 1109, 2745, 1547, 535, 560, 1547, 2212, 8096, 4990, 3528, 630, 4148, 760, 5635, 2387, 517, 319, 521, 526, 264, 694, 336, 343, 319, 0, 258, 8617, 640, 540, 2268, 593, 1305, 10522, 2834, 640, 593, 10167, 540, 2834, 5036, 692, 4131, 1269, 311, 259, 581, 513, 11973, 2230, 543, 18159, 311, 12101, 4118, 325, 21531, 31505, 9574, 315, 14153, 7751, 513, 13113, 2268, 2230, 609, 4399, 24837, 346, 289, 20731, 311, 315, 11357, 3553, 315, 4118, 325, 21531, 31505, 23201, 2913, 4399, 14153, 259, 581, 2834, 593, 1269, 288, 32390, 22174, 315, 4118, 325, 21531, 31505, 31859, 17004, 602, 4399, 14153, 259, 568, 2834, 593, 1269, 288, 315, 5115, 645, 6911, 7712, 1269, 311, 259, 568, 513, 11973, 2230, 6418, 543, 9018, 2834, 640, 616, 3989, 607, 5205, 1384, 272, 269, 1269, 288, 22174, 315, 4118, 325, 21531, 31505, 4151, 568, 9018, 4399, 14153, 27572, 10585, 281, 4399, 14153, 630, 288, 264, 31386, 8882, 315, 3189, 14153, 630, 308, 264, 2433, 772, 22174, 315, 4118, 325, 21531, 31505, 4153, 3387, 2135, 346, 568, 1930, 543, 7684, 288, 315, 11357, 3553, 772, 1422, 21456, 273, 269, 1269, 288, 22174, 315, 4118, 325, 21531, 31505, 4151, 568, 6418, 4399, 14153, 27572, 10585, 281, 4399, 14153, 630, 288, 21174, 338, 1575, 315, 3189, 14153, 630, 290, 264, 2433, 595, 22174, 315, 4118, 325, 21531, 31505, 4153, 3387, 2135, 346, 568, 11741, 543, 7684, 290, 315, 11357, 3553, 589, 315, 10592, 3383, 594, 1131, 723, 1397, 602, 1269, 288, 315, 5115, 645, 259, 568, 1312, 6418, 543, 9018, 2834, 563, 4131, 781, 1101, 3801, 6418, 2834, 640, 1384, 7712, 1269, 288, 259, 568, 6418, 2834, 267, 585, 1169, 4399, 29166, 27432, 3436, 271, 8961, 6818, 513, 11741, 1269, 290, 318, 288, 22174, 315, 4118, 325, 21531, 31505, 4151, 521, 6745, 4399, 14153, 630, 288, 264, 2999, 1422, 14153, 630, 290, 318, 288, 264, 10954, 29166, 27432, 10608, 630, 663, 12746, 3585, 585, 1269, 289, 259, 6393, 2171, 1616, 547, 3715, 602, 585, 1169, 4399, 29166, 27432, 3436, 271, 259, 6818, 513, 11741, 1269, 298, 315, 11357, 3553, 589, 315, 5115, 645, 259, 521, 6745, 4399, 14153, 630, 288, 315, 5115, 645, 264, 283, 1422, 14153, 630, 298, 264, 10954, 29166, 27432, 16859, 7712, 1269, 288, 315, 5115, 645, 315, 11357, 3553, 589, 8961, 4061, 18159, 288, 315, 5115, 645, 9385, 3553, 2381, 639, 595, 318, 288, 315, 11357, 3553, 589, 315, 3553, 2381, 639, 595, 318, 288, 259, 649, 798, 723, 676, 27865, 4577, 640, 540, 4399, 14153, 259, 602, 4399, 14153, 16733, 288, 315, 5115, 645, 9385, 3553, 2381, 639, 595, 318, 288, 264, 283, 315, 29166, 27432, 10608, 1809, 649, 991, 513, 11741, 1269, 298, 315, 11357, 3553, 589, 315, 5115, 645, 10608, 594, 6415, 11821, 827, 875, 547, 1265, 971, 513, 1269, 298, 10608, 670, 6493 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3314, 547, 2689, 519, 21249, 19875, 454, 0, 12163, 307, 7505, 1125, 3732, 1433, 543, 1820, 856, 513, 15044, 1592, 540, 12523, 676, 2262, 454, 12163, 5814, 556, 692, 5228, 533, 903, 335, 1046, 1104, 27910, 18183, 267, 27910, 3519, 3667, 7531, 3698, 18351, 1125, 26748, 29495, 2187, 825, 1948, 6151, 5569, 281, 1810, 1405, 1521, 19758, 31988, 607, 29400, 1985, 1915, 454, 825, 2132, 556, 2593, 335, 850, 16868, 257, 315, 310, 266, 2580, 556, 269, 7419, 2975, 7495, 292, 1040, 20889, 29495, 31573, 3890, 9239, 2675, 815, 27910, 3519, 3667, 263, 20813, 284, 8967, 1046, 18183, 14061, 3553, 22913, 2891, 29985, 20257, 3553, 7343, 11243, 2891, 15575, 24552, 8442, 2020, 6050, 815, 1085, 269, 3667, 17572, 263, 2668, 270, 1504, 17902, 5602, 821, 29999, 30648, 318, 1467, 815, 3515, 269, 29788, 24961, 6025, 7505, 1125, 26748, 994, 5320, 18045, 815, 835, 29999, 30648, 318, 1467, 6230, 777, 10857, 10033, 1535, 281, 630, 343, 267, 476, 272, 26895, 516, 706, 576, 3528, 7659, 10857, 10033, 1535, 267, 586, 281, 1535, 1341, 586, 994, 5320, 18045, 5334, 9285, 815, 2262, 18045, 6230, 777, 10857, 10033, 512, 281, 630, 339, 314, 272, 3910, 512, 314, 271, 8079, 1040, 338, 677, 3528, 7659, 10797, 1721, 678, 538, 2262, 18045, 5334, 9285, 31815, 937, 10031, 825, 1293, 815, 703, 16868, 314, 271, 7481, 825, 1820, 6600, 257, 346, 337, 314, 272, 316, 4153, 339, 346, 12248, 348, 5602, 0, 5228, 4351, 1104, 28219, 842, 267, 3732, 7531, 3698, 5352, 10031, 825, 5727, 13200, 509, 29873, 13601, 14756, 482, 421, 504, 493, 10951, 374, 9463, 371, 419, 510, 479, 12163, 825, 2699, 318, 27750, 815, 1496, 343, 585, 1535, 538, 2039, 263, 272, 267, 476, 4097, 22708, 825, 5697, 318, 27750, 815, 3732, 263, 1042, 318, 27750, 267, 476, 277, 994, 825, 5697, 318, 27750, 31699, 4590, 825, 5697, 318, 27750, 6910, 263, 8681, 842, 263, 272, 267, 476, 1626, 4917, 825, 2132, 5697, 318, 27750, 7531, 3698, 4159, 263, 27750, 2187, 825, 5727, 27447, 24731, 13601, 14756, 482, 9463, 490, 420, 487, 366, 419, 494, 481, 9463, 371, 419, 510, 479, 12163, 825, 585, 4994, 267, 3440, 538, 26246, 263, 27750, 2187, 1038, 1820, 6600, 262, 346, 4252, 281, 271, 285, 273, 323, 348, 3299, 1439, 8782, 30386, 1038, 952, 4994, 2652, 7003, 263, 27750, 264, 910, 476, 273, 912, 2018, 1820, 3488, 347, 3299, 1439, 8782, 30386, 825, 1820, 30800, 11133, 815, 703, 9272, 3488, 10951, 374, 20881, 487, 16583, 510, 21796, 357, 281, 1412, 4917, 1721, 9041, 538, 2039, 16325, 2187, 825, 4159, 263, 2102, 4733, 15405, 0, 12163, 12916, 379, 17958, 31088, 32352, 10254, 505, 417, 375, 374, 14035, 504, 14748, 13213, 505, 31801, 489, 692, 309, 619, 542, 281, 476, 271, 269, 272, 454, 12041, 281, 28859, 359, 484, 13107, 488, 454, 14630, 281, 476, 1001, 279, 268, 6734, 268, 736, 454, 20701, 258, 476, 20881, 504, 13213, 485, 31284, 30837, 351, 31801, 489, 31365, 7511, 19867, 356, 27310, 14756, 497, 31563, 23746, 23284, 13644, 479, 14395, 508, 22614, 486, 370, 13213, 505, 31801, 489, 21928, 10254, 505, 417, 375, 374, 31878, 13213, 505, 31801, 489, 28793, 14035, 491, 10254, 370, 29072, 13213, 505, 31801, 489, 9463, 488, 10429, 370, 12255, 29004, 362, 14756, 497, 22909, 482, 454, 258, 17276, 363, 493, 14748, 13213, 505, 31801, 489, 421, 25693, 20069, 420, 485, 359, 26266, 365, 419, 489, 361, 419, 360, 489, 7511, 19540, 483, 11858, 502, 419, 358, 374, 25426, 368, 17276, 487, 478, 23284, 13213, 505, 31801, 489, 18263, 489, 25426, 368, 10429, 365, 11590, 360, 12255, 29004, 362, 9463, 359, 420, 25693, 20881, 504, 13213, 485, 7709, 290, 7511, 25913, 19764, 493, 7531, 5228, 6687, 549, 22422, 1104, 6713, 267, 6581, 826, 267, 1699, 318, 15263, 454, 5228, 942, 1104, 3207, 7531, 3698, 1016, 4671, 2532, 263, 20880, 267, 12523, 2187, 825, 1820, 6600, 262, 303, 2839, 281, 2715, 9690, 318, 15263, 14061, 3671, 348, 5073, 825, 4831, 815, 476, 271, 454, 825, 1247, 4831, 2999, 12523, 912, 1038, 4831, 6834, 476, 272, 454, 1038, 1820, 6600, 262, 346, 322, 3300, 348, 281, 2715, 20880, 348, 5073, 1038, 3207, 263, 271, 269, 4905, 9239, 3698, 1292, 10031, 825, 1297, 815, 4351, 20120, 9792, 263, 276, 267, 476, 1015, 994, 825, 6713, 6025, 13759, 284, 11357, 4671, 2532, 267, 26571, 284, 3488, 303, 532, 3299, 1297, 26895, 11034, 4590, 825, 6713, 6025, 13759, 284, 11357, 4671, 2532, 267, 26571, 284, 3488, 303, 784, 3299, 1297, 26895, 11034, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5027, 888, 5416, 264, 3474, 32681, 2281, 563, 6357, 264, 4446, 8175, 30775, 527, 517, 2281, 563, 6262, 264, 2353, 540, 873, 563, 5560, 264, 3955, 560, 527, 658, 2281, 563, 273, 269, 1879, 513, 1591, 5932, 513, 14203, 1591, 610, 4212, 1591, 609, 4389, 5027, 267, 1018, 568, 519, 1184, 1572, 888, 274, 269, 1548, 3337, 1281, 519, 2278, 2161, 1216, 6675, 538, 2230, 1118, 888, 275, 269, 1548, 568, 513, 834, 8705, 540, 1140, 761, 542, 257, 1759, 593, 538, 661, 7704, 888, 5416, 264, 1215, 1082, 2009, 11507, 972, 616, 547, 513, 1880, 3804, 563, 6357, 264, 1215, 1454, 942, 543, 1648, 513, 3804, 568, 4502, 563, 6262, 264, 1215, 1419, 513, 3804, 786, 581, 14460, 563, 5560, 264, 634, 2179, 540, 786, 543, 4674, 621, 3217, 547, 3035, 513, 3804, 563, 276, 269, 1548, 1281, 29861, 9469, 1448, 856, 827, 1884, 601, 8554, 262, 23636, 2623, 888, 5416, 264, 634, 23636, 2623, 24279, 606, 1367, 585, 519, 2249, 6668, 563, 6357, 264, 634, 23636, 2623, 3947, 967, 573, 643, 783, 338, 513, 1732, 4960, 540, 6668, 563, 6262, 264, 634, 23636, 2623, 568, 535, 582, 519, 1434, 540, 519, 2249, 563, 5560, 264, 634, 23636, 2623, 568, 711, 606, 9542, 563, 277, 269, 1548, 1383, 540, 519, 1826, 540, 12595, 1480, 2623, 602, 5310, 7506, 1004, 547, 3494, 538, 1895, 5542, 1281, 29861, 9469, 2285, 888, 5416, 264, 15775, 513, 2816, 547, 9785, 3424, 835, 781, 1920, 563, 6357, 264, 21816, 324, 1359, 585, 2146, 3028, 563, 6262, 264, 29179, 547, 513, 26988, 3919, 547, 2061, 1158, 14000, 563, 5560, 264, 1306, 6362, 1004, 547, 979, 547, 2112, 547, 2149, 741, 2197, 563, 278, 269, 769, 29861, 9469, 262, 4983, 540, 661, 7704, 13502, 267, 1018, 1079, 5686, 540, 7068, 616, 972, 888, 5416, 264, 2201, 525, 602, 2141, 4339, 267, 543, 3283, 602, 2141, 1394, 1524, 563, 6357, 264, 2201, 525, 602, 2141, 2196, 2476, 267, 543, 3283, 602, 4323, 538, 2848, 953, 563, 6262, 264, 2201, 525, 602, 2141, 3094, 267, 543, 3283, 602, 2141, 6336, 563, 5560, 264, 2201, 525, 602, 2141, 28111, 267, 543, 3283, 602, 2141, 4339, 563, 279, 269, 4208, 1281, 519, 2278, 946, 519, 2262, 834, 1952, 30068, 257, 547, 4766, 25796, 610, 796, 1345, 880, 2623, 888, 5416, 264, 5221, 646, 3085, 1405, 2731, 3494, 538, 519, 2474, 25796, 543, 796, 1345, 880, 563, 6357, 264, 5221, 646, 3085, 1405, 3494, 519, 1806, 646, 568, 19696, 616, 8209, 3020, 563, 6262, 264, 5221, 646, 568, 1152, 7255, 827, 23079, 540, 25796, 1145, 563, 5560, 264, 5221, 2623, 949, 1152, 3100, 25796, 610, 796, 1345, 880, 563, 280, 269, 769, 29861, 9469, 262, 14165, 827, 5027, 267, 875, 1082, 2835, 616, 593, 519, 2835, 3559, 325, 888, 1015, 269, 1215, 1281, 16817, 21656, 519, 2856, 602, 519, 3804, 540, 4720, 568, 585, 513, 2249, 547, 7639, 267, 865, 2043, 786, 1491, 3527, 602, 616, 1434, 585, 519, 2249, 888, 5416, 264, 1306, 4909, 547, 4720, 563, 6357, 264, 1306, 513, 10257, 4244, 8367, 563, 6262, 264, 1306, 5667, 2615, 881, 563, 5560, 264, 1306, 21483, 563, 1556, 269, 769, 29861, 9469, 262, 4901, 267, 1018, 1281, 646, 2015, 27586, 547, 581, 267, 3448, 547, 6090, 888, 5416, 264, 31913, 4891, 563, 5560, 264, 8056, 1468, 970, 6652, 563, 1321, 269, 769, 519, 1305, 540, 10987, 29861, 9469, 19528, 602, 4308, 609, 713, 2068, 267, 1018, 1281, 513, 2034, 5444, 519, 10987, 723, 798, 888, 5416, 264, 20531, 519, 10987, 547, 24807, 7210, 4816, 10987, 563, 6357, 264, 20531, 519, 10987, 547, 3548, 7210, 4816, 10987, 563, 6262, 264, 20531, 519, 10987, 547, 4734, 519, 554, 633, 1141, 7210, 4816, 10987, 616, 563, 5560, 264, 20531, 519, 10987, 547, 12235, 7210, 4816, 10987, 856, 540, 519, 554, 633, 563, 1724, 269, 1548, 3592, 2141, 4523, 950, 12215, 540, 1919, 616, 1500, 267, 2687, 547, 29861, 9469, 888, 5416, 264, 4762, 4288, 1063, 12215, 543, 5169, 1023, 563, 6357, 264, 1323, 936, 629, 1495, 766, 540, 12215, 563, 6262, 264, 27190, 1389, 538, 519, 12215, 563, 5560, 264, 18366, 1063, 519, 12215, 563, 1691, 269, 1548, 15151, 796, 1345, 880, 957, 540, 513, 13520, 1281, 519, 2278, 4766, 888, 5416, 264, 5345, 659, 15070, 1799, 1155, 10987, 689, 606, 13155, 554, 633, 563, 6357, 264, 20780, 532, 1394, 14947, 547, 948, 3049, 519, 2898, 12733, 563, 6262, 264, 700, 3151, 922, 1272, 547, 29097, 606, 11371, 31335, 563, 5560, 264, 674, 18017, 1055, 11975, 945, 616, 2282, 519, 15596, 563, 1428, 269, 1548, 1281, 519, 2278, 5635, 13285, 547, 888, 5416, 264, 1323, 2599, 563, 6357, 264, 15379, 12904, 563, 6262, 264, 1323, 705, 659, 639, 563, 5560, 264, 589, 2780, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1281, 29861, 9469, 2022, 3634, 15387, 4638, 12093, 607, 513, 4183, 888, 273, 269, 769, 29861, 9469, 262, 14165, 827, 5027, 267, 875, 1281, 646, 4766, 519, 5137, 540, 1007, 5027, 676, 4638, 12093, 888, 274, 269, 1548, 798, 519, 5022, 589, 267, 570, 267, 595, 267, 543, 717, 1796, 585, 888, 275, 269, 769, 29861, 9469, 262, 14165, 827, 5027, 267, 1018, 1281, 519, 2835, 3559, 325, 2099, 888, 276, 269, 1548, 1705, 3744, 798, 547, 1449, 519, 6090, 602, 6417, 13520, 2623, 888, 1607, 3296, 3568, 476, 3583, 277, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 3674, 621, 2614, 547, 1683, 6009, 267, 1983, 543, 2866, 547, 513, 5108, 540, 6917, 2367, 543, 2021, 3079, 540, 2519, 593, 3160, 3255, 585, 741, 1453, 888, 2005, 814, 1044, 2938, 602, 538, 6917, 3127, 267, 5103, 540, 519, 4028, 2804, 2208, 267, 519, 11317, 798, 711, 1205, 3160, 3255, 3379, 547, 1346, 4535, 538, 4683, 3127, 269, 2290, 540, 519, 1034, 1455, 1806, 568, 519, 5449, 7022, 540, 3127, 267, 6004, 269, 589, 10422, 12282, 269, 19869, 592, 918, 15401, 267, 945, 3357, 689, 971, 513, 4282, 543, 2968, 519, 8783, 540, 19010, 23077, 543, 849, 519, 22632, 547, 581, 519, 1101, 15114, 540, 3127, 269, 1809, 1018, 827, 1010, 2828, 267, 14077, 610, 30256, 689, 1010, 5065, 8498, 286, 634, 1004, 540, 3127, 2760, 1413, 693, 1346, 945, 616, 2451, 3297, 563, 31819, 649, 798, 568, 585, 938, 6084, 3240, 269, 4935, 267, 621, 782, 6238, 609, 1426, 25252, 11797, 269, 898, 568, 1419, 1767, 968, 321, 327, 809, 515, 533, 7159, 536, 327, 1690, 534, 14255, 554, 1195, 324, 5608, 799, 18922, 547, 1426, 538, 7850, 9424, 568, 2556, 1354, 13197, 1945, 269, 5457, 267, 972, 568, 513, 2462, 3017, 17005, 543, 14762, 563, 1607, 1797, 5466, 14000, 543, 6710, 1590, 581, 519, 1101, 10862, 269, 14171, 713, 883, 7156, 6923, 10575, 22284, 1072, 267, 6484, 543, 2069, 269, 4317, 3356, 538, 2474, 540, 4008, 267, 1920, 3347, 543, 22634, 666, 849, 581, 2919, 269, 769, 519, 2487, 2053, 267, 6666, 814, 1044, 13576, 5051, 855, 602, 568, 711, 2614, 269, 1703, 616, 1869, 930, 4025, 799, 1995, 1126, 4731, 333, 712, 7321, 267, 14774, 543, 10867, 9019, 269, 22798, 4961, 723, 14758, 3375, 1818, 7060, 543, 3592, 1100, 1852, 936, 741, 1378, 7221, 563, 19733, 4249, 519, 1883, 1909, 454, 16966, 543, 2298, 540, 2069, 568, 519, 2101, 6161, 538, 6917, 3506, 607, 972, 616, 7864, 8149, 3610, 267, 3668, 540, 1697, 13181, 2835, 543, 1565, 2326, 269, 901, 568, 1946, 267, 606, 11036, 814, 1044, 3144, 676, 930, 540, 519, 1875, 17416, 14540, 538, 3127, 547, 1683, 3617, 6917, 2069, 563, 4322, 14540, 616, 5631, 13234, 676, 27013, 543, 3976, 267, 5354, 540, 1004, 2713, 538, 14252, 723, 6956, 519, 2956, 540, 2069, 269, 898, 568, 849, 2312, 547, 873, 602, 2069, 568, 519, 1152, 1259, 547, 1205, 7759, 540, 6710, 269, 4653, 267, 1004, 616, 711, 8200, 1152, 593, 2229, 3506, 267, 607, 16565, 2069, 814, 1831, 513, 2603, 4443, 269, 4634, 519, 1297, 540, 3610, 814, 2799, 267, 602, 1932, 609, 513, 7029, 269, 4065, 585, 6917, 1453, 538, 3127, 814, 2760, 1044, 865, 4443, 609, 519, 948, 540, 971, 1875, 7443, 14540, 563, 2691, 621, 2501, 547, 6917, 3127, 267, 4683, 4961, 1590, 711, 30391, 873, 543, 538, 2489, 267, 621, 814, 1044, 2938, 602, 27142, 1932, 2285, 513, 9157, 4339, 538, 782, 3344, 540, 519, 4683, 1158, 563, 2005, 568, 2141, 2352, 543, 4101, 4305, 950, 621, 2501, 547, 5355, 519, 2298, 540, 1004, 779, 1272, 609, 9124, 269, 2622, 2657, 9257, 5359, 602, 538, 519, 3003, 1158, 267, 4557, 2600, 540, 519, 2518, 2551, 568, 4299, 676, 9659, 269, 1809, 789, 849, 1867, 602, 1620, 543, 6304, 585, 519, 22074, 693, 606, 2038, 2085, 666, 948, 513, 2603, 538, 519, 2104, 269, 901, 568, 1946, 267, 1620, 519, 9124, 568, 2141, 3507, 762, 563, 13981, 519, 9124, 454, 5575, 267, 596, 991, 547, 1174, 519, 1826, 540, 4713, 543, 4191, 540, 519, 9659, 269, 3973, 1152, 596, 666, 22942, 519, 1808, 2591, 1644, 547, 519, 17966, 618, 543, 1265, 513, 23801, 2126, 1982, 602, 1568, 269, 5272, 16981, 1268, 2115, 1697, 19015, 267, 29454, 267, 2648, 543, 1489, 269, 1809, 950, 621, 2501, 547, 1565, 9124, 267, 891, 2318, 12927, 906, 666, 948, 547, 2327, 513, 2178, 2631, 540, 6015, 267, 6418, 268, 26074, 543, 8990, 547, 1832, 2469, 950, 1919, 616, 9157, 563, 1103, 2013, 596, 723, 513, 1126, 609, 1565, 9124, 693, 1753, 267, 607, 513, 2385, 707, 2816, 568, 711, 547, 10826, 519, 1966, 267, 855, 547, 948, 707, 1126, 676, 3246, 1514, 543, 3929, 2645, 602, 646, 610, 1352, 2115, 547, 7753, 519, 2591, 269, 769, 519, 1279, 2196, 267, 519, 2069, 630, 874, 9713, 543, 2790, 264, 666, 1577, 707, 1126, 1174, 519, 1272, 267, 3976, 3395, 6793, 543, 811, 14388, 269, 5901, 538, 2247, 602, 519, 1259, 596, 4431, 543, 13789, 547, 2591, 5932, 513, 2462, 1764, 593, 707, 1126, 779, 1272, 269, 8058, 532, 513, 1434, 10182, 949, 711, 4194, 519, 1966, 855, 621, 666, 9090, 2285, 707, 1126, 811, 6015, 543, 4126, 563, 1432, 666, 596, 798, 547, 4308, 609, 707, 1126, 779, 1565, 9659, 888, 13981, 9124, 281, 634, 18389, 568, 538, 707, 1688, 281, 1879, 596, 616, 7231, 609, 1565, 9124, 267, 1832, 713, 538, 2247, 602, 3025, 8188, 9465, 269, 898, 779, 909, 547, 596, 875, 547, 4308, 609, 1346, 9465, 1510, 4742, 27209, 610, 16397, 269, 3629, 707, 1126, 609, 7899, 540, 5837, 543, 3929, 1489, 563, 6826, 707, 1378, 4274, 281, 1684, 707, 1378, 1382, 543, 2097, 909, 609, 1007, 2093, 543, 7835, 538, 1565, 9659, 3292, 269, 898, 666, 581, 3872, 2553, 543, 11257, 269, 2311, 519, 1101, 3942, 267, 952, 596, 616, 711, 8746, 2614, 267, 596, 666, 1491, 2093, 689, 16293, 267, 3610, 267, 7189, 543, 1256, 1753, 585, 1453, 609, 9124, 269, 1809, 3314, 267, 519, 10627, 517, 540, 5279, 568, 538, 707, 1688, 543, 3976, 267, 596, 991, 547, 581, 6297, 1247, 7231, 563, 13981, 9124, 949, 581, 513, 3787, 7294, 693, 519, 4098, 267, 855, 2899, 596, 1831, 740, 30794, 267, 1919, 786, 581, 513, 2603, 4443, 563, 4002, 519, 476, 1015, 628, 540, 5181, 267, 476, 1001, 278, 267, 519, 19377, 3474, 320, 11846, 5948, 1185, 22555, 606, 2353, 19377, 3474, 320, 4210, 21148, 29073, 1222, 6735, 693, 590, 1779, 807, 4210, 21148, 623, 944, 5948, 269, 634, 5171, 538, 519, 6735, 941, 8695, 1299, 6690, 609, 2027, 2115, 689, 782, 936, 519, 1533, 540, 4639, 19377, 269, 4841, 689, 1306, 3873, 645, 6409, 534, 10418, 267, 476, 278, 1053, 689, 10821, 1753, 609, 13538, 849, 15548, 269, 3776, 1053, 609, 2027, 2115, 15548, 538, 21738, 267, 1016, 18191, 684, 1640, 543, 9972, 19194, 1519, 1954, 5598, 476, 2004, 25451, 10977, 5198, 269, 898, 729, 1360, 9157, 6735, 267, 2705, 938, 1053, 17993, 609, 10760, 15437, 799, 2882, 476, 275, 4154, 1299, 476, 274, 8988, 1199, 1023, 269, 11524, 1053, 689, 938, 8998, 5103, 540, 2348, 476, 3199, 547, 476, 3445, 2600, 540, 9124, 267, 782, 540, 873, 6192, 519, 476, 2004, 25451, 10977, 2680, 1369, 476, 272, 16006, 3764, 269, 4002, 519, 476, 1015, 628, 540, 5181, 267, 476, 1001, 278, 267, 519, 19377, 3474, 320, 11846, 5948, 1185, 22555, 606, 2353, 19377, 3474, 320, 4210, 21148, 29073, 1222, 6735, 693, 590, 1779, 807, 4210, 21148, 623, 944, 5948, 269, 634, 5171, 538, 519, 6735, 941, 8695, 1299, 6690, 609, 2027, 2115 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 865, 1296, 2094, 1010, 7015, 779, 2669, 267, 570, 9200, 3780, 1185, 7361, 16309, 538, 31390, 4328, 519, 10910, 514, 14657, 27272, 6082, 269, 634, 1184, 540, 7432, 519, 22502, 540, 8105, 543, 24116, 2950, 883, 4683, 17260, 609, 21438, 4218, 5928, 1107, 1018, 2413, 12206, 1289, 2048, 668, 534, 1436, 685, 1107, 1185, 13175, 538, 7118, 652, 269, 9861, 25517, 585, 519, 1101, 942, 593, 4436, 3037, 267, 1631, 2808, 12560, 267, 941, 4936, 9467, 9708, 267, 971, 607, 693, 9546, 323, 326, 3305, 525, 267, 8547, 538, 476, 275, 14514, 538, 519, 700, 23167, 9503, 267, 1247, 4108, 19698, 267, 971, 607, 519, 4585, 2389, 1077, 812, 2740, 676, 18689, 328, 926, 328, 693, 9291, 580, 538, 661, 23677, 1844, 1156, 267, 3459, 547, 1491, 593, 519, 1909, 540, 4180, 3354, 267, 2864, 982, 607, 19698, 585, 1818, 2112, 269, 22397, 371, 11054, 1546, 4177, 883, 3046, 8663, 32337, 267, 7507, 779, 1852, 729, 21260, 267, 2705, 269, 623, 5241, 519, 7182, 540, 4936, 3310, 2479, 5087, 3887, 770, 1189, 267, 595, 333, 269, 12358, 527, 3780, 589, 1156, 984, 16808, 639, 6368, 6913, 1018, 4436, 16307, 685, 4651, 1185, 711, 676, 15385, 519, 4432, 2041, 5211, 609, 1010, 7952, 538, 476, 272, 9460, 269, 1261, 22002, 519, 19555, 1495, 19441, 14316, 267, 799, 5030, 972, 267, 543, 9896, 513, 1875, 268, 12000, 1833, 533, 716, 609, 873, 267, 23928, 873, 538, 519, 3338, 1657, 519, 6301, 5211, 7477, 730, 676, 519, 3057, 1260, 28839, 267, 543, 729, 13752, 15112, 13921, 1202, 793, 807, 585, 1010, 11802, 269, 22397, 371, 23326, 1677, 1732, 4383, 519, 11662, 540, 4436, 807, 267, 646, 3964, 1010, 19742, 543, 4108, 7245, 693, 11534, 573, 636, 29974, 1640, 636, 267, 3001, 621, 689, 519, 16076, 320, 575, 28207, 267, 1141, 621, 1185, 1044, 2094, 3220, 639, 639, 8547, 621, 269, 22397, 371, 22397, 368, 454, 1103, 476, 275, 9460, 267, 570, 9200, 3780, 3366, 513, 4108, 5106, 883, 519, 1869, 796, 12845, 10811, 539, 4525, 540, 4436, 807, 13804, 320, 269, 769, 519, 2484, 5087, 267, 519, 932, 879, 857, 267, 609, 7247, 3220, 639, 639, 519, 26744, 1185, 9896, 513, 4708, 14097, 267, 941, 1964, 1652, 269, 769, 519, 7532, 267, 519, 18979, 590, 826, 6798, 4797, 547, 2611, 3544, 1463, 4936, 1852, 543, 6719, 513, 3463, 547, 519, 3148, 2907, 896, 621, 269, 1715, 1055, 839, 1161, 3459, 1210, 519, 4044, 762, 8933, 547, 4163, 7727, 543, 1319, 2946, 21119, 547, 10880, 2620, 883, 519, 2295, 540, 4436, 807, 607, 2484, 607, 519, 24380, 518, 630, 14106, 4026, 529, 264, 5211, 269, 22397, 371, 22397, 369, 570, 9200, 3780, 18423, 538, 519, 2113, 10560, 1242, 7997, 2394, 5412, 267, 547, 936, 5408, 1010, 16939, 776, 3196, 20857, 1219, 839, 1043, 7158, 267, 1287, 2451, 519, 3148, 538, 519, 1416, 540, 595, 269, 13329, 3780, 21275, 19434, 543, 18188, 1394, 547, 7507, 269, 22397, 371, 22397, 370, 1261, 8120, 547, 1291, 513, 5614, 18086, 538, 476, 276, 9460, 267, 799, 4718, 519, 10131, 540, 513, 5692, 547, 4497, 519, 590, 826, 6798, 269, 11374, 1010, 21549, 7015, 779, 1378, 2203, 5859, 540, 476, 1321, 14514, 267, 606, 19917, 1190, 16939, 1305, 1055, 896, 522, 541, 689, 15506, 822, 617, 584, 636, 630, 301, 6359, 332, 1122, 523, 264, 883, 519, 30086, 639, 674, 4582, 334, 630, 313, 340, 3187, 345, 2465, 267, 1631, 519, 594, 329, 338, 1088, 1889, 518, 1040, 1261, 729, 2111, 547, 946, 519, 3126, 540, 3289, 25233, 4702, 1568, 1107, 16030, 513, 12324, 543, 15155, 30672, 9112, 676, 1010, 7015, 543, 1869, 12946, 1010, 2012, 1107, 799, 4448, 519, 10910, 710, 547, 519, 15195, 10720, 3564, 269, 22397, 371, 22397, 371, 634, 2048, 26211, 2759, 685, 6035, 676, 519, 26187, 320, 3220, 639, 10005, 13087, 519, 18239, 547, 2057, 519, 30217, 748, 3345, 7256, 630, 300, 732, 27272, 636, 264, 543, 547, 1491, 519, 5266, 1608, 1067, 654, 5417, 523, 7256, 8905, 2059, 519, 10656, 5032, 269, 22397, 371, 22397, 372, 634, 18239, 30774, 547, 519, 6679, 540, 519, 4432, 2041, 630, 2704, 321, 529, 264, 5211, 267, 799, 4547, 519, 7952, 2786, 547, 519, 22657, 540, 519, 10815, 518, 543, 20523, 932, 879, 857, 6082, 269, 22397, 371, 22397, 373, 966, 16279, 3780, 623, 831, 1529, 639, 11339, 912, 763, 11031, 540, 519, 932, 879, 857, 941, 4389, 547, 19169, 282, 782, 741, 6107, 267, 12808, 538, 1297, 267, 17254, 4842, 538, 2450, 267, 9244, 9856, 539, 676, 519, 2470, 540, 519, 2197, 267, 9447, 909, 741, 9604, 267, 543, 267, 609, 741, 3401, 267, 11303, 676, 10136, 540, 938, 7980, 1350, 7867, 532, 538, 7916, 267, 605, 1598, 730, 2933, 1354, 519, 5513, 26915, 540, 519, 6650, 1807, 269, 22397, 372, 22397, 364, 454, 306, 9430, 909, 268, 18182, 267, 519, 18239, 1558, 909, 609, 519, 2244, 7952, 267, 1141, 789, 6410, 4464, 1927, 547, 4497, 519, 18999, 984, 31651, 267, 835, 540, 519, 3677, 24116, 11031, 1818, 909, 519, 1476, 539, 3130, 540, 590, 826, 6798, 269, 22397, 372, 382, 373, 2986, 519, 1671, 5224, 7237, 267, 623, 831, 1529, 639, 11339, 281, 2048, 1492, 18999, 984, 31651, 267, 513, 4182, 23630, 1256, 519, 16586, 538, 535, 1512, 322, 8864, 267, 941, 16760, 9957, 22397, 372, 11054, 769, 606, 1383, 540, 1514, 4702, 267, 519, 14564, 30275, 539, 519, 18999, 984, 31651, 689, 519, 2451, 4871, 540, 519, 4432, 2041, 543, 22755, 873, 1394, 547, 519, 824, 2427, 269, 22397, 372, 23326, 634, 7952, 729, 10294, 4619, 16124, 543, 570, 9200, 3780, 8120, 547, 7507, 267, 1141, 267, 593, 476, 2767, 5130, 476, 277, 9460, 267, 646, 6131, 519, 13527, 540, 10011, 528, 543, 2717, 12999, 538, 1010, 1378, 543, 1010, 4666, 7015, 779, 2012, 269, 22397, 372, 22397, 368, 454, 763, 2347, 1016, 24503, 566, 540, 4436, 807, 13804, 320, 1631, 8604, 513, 1483, 7872, 547, 1164, 8573, 21403, 14564, 269, 623, 831, 1529, 639, 11339, 2498, 639, 1947, 602, 2048, 1492, 2898, 6708, 540, 4436, 807, 729, 21986, 539, 676, 938, 7952, 282, 6082, 941, 22482, 602, 941, 3592, 7164, 547, 721, 1256, 538, 4067, 9957, 22397, 372, 22397, 369, 634, 1883, 7580, 3390, 6967, 1354, 2048, 3939, 12913, 685, 1223, 581, 10294, 729, 547, 1491, 513, 966, 11057, 530, 8354, 540, 2244, 1572, 645, 2129, 320, 655, 1756, 1063, 519, 10910, 710, 543, 8355, 4209, 8933, 269, 22397, 372, 22397, 370, 898, 729, 13026, 676, 519, 3057, 1260, 28839, 267, 513, 4182, 540, 27272, 5169, 2348, 14336, 4800, 547, 519, 590, 826, 6798, 269, 769, 476, 1015, 14514, 267, 3057, 321, 617, 340, 639, 630, 528, 3057, 984, 617, 340, 639, 1070, 945, 729, 13473, 693, 7507, 267, 8120, 547, 1010, 1004, 1107, 610, 5310, 729, 3144, 972, 896, 4936, 26603, 677, 1107, 543, 2968, 741, 4622, 269, 22397, 372, 22397, 371, 1261, 1185, 10150, 519, 19121, 720, 540, 31217, 267, 7654, 607, 513, 9299, 1030, 624, 639, 540, 606, 25581, 20165, 538, 519, 4936, 7952, 267, 543, 3576, 1394, 609, 1864, 2093, 827, 875, 519, 3057, 1260, 28839, 1522, 4324, 689, 12561, 4936, 16654, 1876, 267, 2229, 543, 4108, 2257, 269, 769, 519, 1296, 646, 6170, 1851, 873, 267, 646, 1185, 2097, 547, 1174, 1018, 12592, 519, 14564, 269, 13298, 982, 4161, 7507, 610, 581, 22482, 676, 1200, 1850, 687, 267, 3057, 321, 617, 340, 639, 18617, 1010, 14316, 547, 882, 11229, 2484, 689, 4936, 31112, 269, 2201, 519, 9194, 547, 513, 1007, 22657, 538, 4425, 1335, 807, 630, 289, 2129, 320, 655, 1756, 1070, 519, 3057, 1260, 28839, 941, 8678, 676, 519, 700, 1872, 4512, 267, 2098, 26619, 267, 1809, 2158, 630, 528, 28066, 2158, 1070, 631, 1872, 559, 2158, 543, 27584, 7236, 6082, 1107, 513, 5916, 3196, 540, 930, 476, 3583, 267, 1822, 2367, 593, 3723, 543, 476, 275, 267, 1822, 7504, 269, 2755, 646, 1185, 2220, 1941, 711, 547, 1491, 909, 7916, 1996, 7507, 8259, 1008, 12097, 676, 873, 547, 9718, 5128, 267, 519, 2070, 593, 519, 6022, 11294, 639, 10830, 543, 538, 519, 1225, 807, 729, 602, 3057, 321, 617, 340, 639, 543, 1010, 3057, 1260, 28839, 6719, 513, 11173, 543, 1459, 3463, 602, 1223, 10131, 6285, 593, 30240, 4936, 4690, 693, 786, 269, 22397, 372, 22397, 372, 589, 840, 268, 3319, 633, 10880, 729, 1572, 585, 563, 307, 9200, 3780, 267, 945, 1185, 3254, 1390, 1416, 538, 4058, 519, 3105, 1032, 779, 5859, 267, 22885, 513, 1614, 17376, 784, 539, 4323, 593, 519, 3057, 1260, 28839, 547, 581, 9250, 538, 476, 277, 9460, 269, 22397, 372, 22397, 373, 2201, 519, 7262, 1166, 1678, 267, 13329, 3780, 21275, 19434, 267, 519, 1007, 17294, 540, 4436, 807, 267, 1131, 1291, 1010, 7952, 689, 519, 10910, 710, 543, 2759, 998, 519, 4173, 1097, 333, 1014, 11206, 269, 769, 519, 8998, 267, 513, 2034, 7952, 1895, 1131, 19876, 5087, 3887, 770, 689, 14780, 564, 807, 896, 606, 7164, 19524, 269, 22397, 373, 22397, 364, 570, 9200, 3780, 1131, 10131, 1010, 18086, 689, 1010, 8355, 889, 1014, 3490, 3786, 693, 2961, 333, 2863, 636, 593, 519, 9456, 1166, 1678, 269, 22397, 373, 382, 373, 901, 1071, 268, 867, 3990, 8930, 1356, 3350, 729, 2966, 547, 17158, 543, 2569, 519, 3057, 1260, 28839, 609, 11566, 3196, 269, 3143, 7864, 982, 12964, 1850, 687, 267, 1142, 540, 476, 276, 267, 7785, 8185, 268, 28534, 10136, 267, 543, 606, 5667, 29347, 1881, 1297, 540, 25581, 16649, 2176, 267, 1142, 540, 1063, 476, 4335, 543, 476, 272, 267, 1822, 26462, 610, 29816, 267, 941, 3238, 538, 1018, 729, 519, 4102, 16939, 776, 3196, 2479, 1590, 1229, 676, 7507, 1996, 513, 2582, 535, 4141, 267, 1498, 713, 1297, 949, 2965, 581, 519, 2040, 540, 4559, 538, 4436, 807, 267, 14780, 564, 807, 543, 19129, 569, 878, 636, 693, 713, 1448, 538, 942, 267, 2864, 982, 519, 3196, 8149, 547, 519, 8705, 269, 22397, 373, 11054, 11835, 1456, 570, 9200, 3780, 693, 2961, 333, 2863, 636, 729, 631, 269, 4406, 518, 3780, 11619, 718, 320, 11619, 16433, 639, 267, 519, 17294, 540, 19129, 569, 878, 636, 269, 22397, 373, 23326, 634, 7245, 543, 3354, 540, 519, 11662, 540, 4436, 807, 267, 29285, 267, 729, 15518, 730, 547, 623, 269, 2372, 3307, 559, 3780, 966, 22654, 269, 1261, 729, 835, 6066, 19524, 540, 6181, 1470, 2473, 21197, 538, 519, 10617, 547, 1016, 24503, 622, 519, 966, 785, 601, 545, 328, 538, 476, 1428, 14514, 267, 1185, 1044, 1071, 15926, 592, 609, 570, 9200, 3780, 538, 476, 1724, 14514, 543, 13604, 6039, 2474, 607, 17294, 538, 16850, 543, 4000, 267, 543, 1185, 9310, 519, 1390, 562, 19991, 540, 31217, 267, 19863, 807, 17240, 577, 571, 269, 22397, 373, 22397, 368, 1261, 729, 513, 1360, 11967, 6292, 540, 3946, 269, 2725, 656, 830, 267, 547, 3142, 519, 4559, 540, 519, 16939, 776, 3196, 909, 547, 2407, 4222, 267, 26550, 625, 941, 6659, 538, 519, 30240, 16899, 269, 7324, 519, 4525, 23478, 2367, 585, 519, 2112, 941, 519, 26811, 753, 269, 8616, 267, 607, 623, 831, 1529, 639, 9356, 9158, 1227, 267, 2048, 293, 28232, 3006, 9933, 919, 267, 3006, 1427, 1841, 267, 519, 5301, 540, 2367, 9957, 22397, 373, 22397, 369, 4634, 607, 519, 2527, 539, 4229, 540, 519, 4936, 7952, 941, 8600, 547, 3444, 519, 8355, 4209, 543, 10910, 710, 8933, 543, 1847, 2509, 741, 8655, 4108, 9072, 267, 519, 9709, 12289, 1185, 547, 581, 23589, 569, 705, 9285, 950, 3377, 8452, 540, 513, 18326, 547, 519, 5045, 538, 519, 26811, 753, 563, 4263, 713, 942, 267, 519, 7262, 26811, 753, 941, 5219, 547, 607, 19129, 569, 878, 636, 269, 22397, 373, 22397, 370, 18243, 3901, 1014, 19129, 569, 878, 636, 10443, 2059, 519, 1520, 686, 1738, 5032, 267, 15198, 689, 519, 3220, 15714, 5211, 538, 519, 5045, 630, 514, 2413, 24640, 807, 264, 547, 594, 560, 6319, 538, 519, 7178, 630, 514, 2413, 23886, 807, 264, 543, 547, 519, 590, 6072, 5211, 538, 519, 5087, 630, 514, 1018, 568, 1631, 18548, 11844, 6953, 518, 345, 1122, 990, 2088, 1040, 22397, 373, 22397, 371, 8092, 6674, 539, 623, 2335, 20897, 19129, 569, 878, 636, 729, 22112, 676, 519, 590, 6072, 5211, 547, 519, 5045, 267, 543, 21401, 547, 2048, 1492, 524, 4048, 338, 540, 519, 32595, 685, 538, 7439, 32337, 630, 514, 2413, 15212, 264, 538, 519, 7178, 267, 519, 11662, 540, 631, 3996, 807, 630, 514, 2413, 21640, 264, 538, 519, 7532, 267, 543, 607, 2484 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 476, 276, 268, 1015, 17276, 352, 478, 418, 509, 354, 17958, 16043, 371, 12571, 491, 5236, 376, 504, 418, 490, 487, 31284, 30837, 351, 7511, 13644, 368, 13107, 492, 419, 376, 500, 19540, 503, 22047, 31801, 489, 31365, 8147, 418, 357, 350, 418, 489, 509, 419, 377, 495, 419, 360, 503, 419, 350, 362, 32517, 507, 30006, 493, 12916, 491, 17958, 16043, 371, 7511, 17958, 16043, 371, 12571, 491, 421, 25693, 419, 489, 361, 13601, 20721, 510, 11590, 490, 7511, 25913, 19764, 493, 25707, 258, 476, 10254, 505, 417, 375, 374, 22047, 420, 485, 367, 16533, 495, 25060, 483, 12571, 360, 276, 14748, 17958, 16043, 371, 12571, 491, 7511, 28578, 23989, 8147, 23946, 370, 16533, 484, 10429, 370, 417, 495, 377, 12571, 491, 20992, 9690, 318, 22852, 476, 25707, 258, 13127, 484, 491, 10254, 505, 417, 375, 374, 22047, 25060, 483, 12571, 360, 276, 14748, 17958, 16043, 371, 12571, 491, 7511, 28578, 23989, 8147, 16533, 484, 10429, 370, 417, 495, 377, 12571, 491, 20992, 2908, 318, 22852, 5236, 376, 490, 23946, 370, 419, 350, 362, 32517, 507, 10429, 370, 18809, 20069, 13601, 4970, 353, 14748, 17958, 16043, 371, 12571, 491, 18263, 509, 25060, 483, 12571, 360, 21928, 28578, 23989, 9690, 318, 22852, 476, 18809, 25707, 258, 28859, 479, 491, 31308, 484, 28578, 23989, 2908, 318, 22852, 5236, 376, 490, 28098, 30678, 10429, 370, 18809, 7511, 30006, 493, 14748, 17958, 16043, 371, 12571, 491, 8147, 421, 25693, 418, 352, 478, 418, 509, 354, 14395, 481, 15159, 12571, 355, 26266, 366, 420, 351, 360, 12916, 379, 17958, 25707, 258, 13127, 28187, 31563, 15159, 30244, 21550, 371, 8147, 16533, 365, 19867, 497, 22287, 364, 13601, 23521, 350, 418, 370, 486, 418, 479, 363, 8147, 418, 490, 485, 24731, 421, 506, 478, 28884, 27447, 24662, 10254, 360, 7511, 17958, 16043, 371, 12571, 491, 5405, 505, 12571, 355, 10254, 503, 8147, 19867, 497, 22287, 364, 13601, 23521, 350, 418, 370, 486, 418, 479, 363, 8147, 418, 490, 485, 24731, 30244, 14748, 17958, 16043, 371, 12571, 491, 10951, 359, 420, 351, 360, 12916, 379, 17958, 25707, 258, 22614, 350, 362, 32517, 507, 30006, 498, 20001, 481, 28793, 21251, 25060, 374, 26166, 27962, 16533, 493, 19540, 503, 5405, 505, 29004, 351, 9463, 354, 13644, 507, 13644, 368, 8147, 417, 28187, 31563, 17958, 16043, 371, 12571, 491, 262, 11990, 262, 13127, 371, 366, 420, 351, 360, 12916, 379, 17958, 8147, 18021, 498, 418, 489, 496, 14756, 507, 17958, 16043, 371, 12571, 491, 262, 297, 15121, 301, 262, 476, 12486, 692, 9690, 318, 22852, 815, 18358, 611, 2381, 3299, 1412, 292, 878, 3299, 1412, 21579, 3299, 1412, 25402, 3299, 1412, 297, 518, 787, 23300, 2908, 318, 22852, 815, 18358, 25402, 3299, 1412, 297, 518, 787, 3299, 1412, 313, 659, 3299, 1412, 307, 20207, 3299, 1412, 21837, 23300, 1721, 3593, 538, 1007, 318, 22852, 912, 825, 952, 3593, 538, 1699, 318, 22852, 610, 3593, 31573, 3890, 538, 1699, 318, 22852, 610, 3593, 269, 21639, 3890, 538, 1699, 318, 22852, 912, 1038, 1820, 263, 12528, 1341, 834, 814, 1044, 1031, 32405, 825, 3116, 912, 1038, 1820, 263, 12528, 1341, 834, 814, 711, 1044, 1031, 32405, 0, 258, 476, 1556, 268, 274, 28859, 505, 485, 417, 495, 502, 16088, 419, 376, 500, 19540, 503, 22047, 12571, 491, 20992, 32715, 2465, 476, 7511, 32352, 8147, 10429, 370, 25913, 25622, 1029, 8181, 1029, 3890, 17276, 492, 354, 9463, 501, 12571, 491, 18998, 417, 356, 497, 25520, 23946, 368, 420, 500, 359, 8147, 23946, 370, 16533, 484, 14395, 481, 10524, 361, 421, 25693, 11858, 502, 417, 480, 357, 21928, 31271, 508, 26233, 356, 18809, 25707, 258, 22614, 376, 500, 19540, 503, 22047, 12571, 491, 20992, 326, 633, 318, 571, 1047, 3890, 476, 7511, 25913, 25622, 8147, 14395, 481, 421, 375, 502, 18777, 353, 16533, 484, 23946, 368, 420, 500, 359, 417, 351, 508, 20693, 510, 4335, 271, 419, 378, 492, 30317, 8147, 12916, 484, 18263, 509, 420, 25693, 14035, 509, 26406, 354, 9463, 501, 10429, 370, 10524, 500, 7511, 23946, 368, 420, 500, 359, 417, 351, 508, 20693, 510, 19404, 493, 25707, 258, 476, 20992, 32715, 2465, 22614, 376, 500, 19540, 503, 22047, 418, 369, 489, 13644, 499, 17958, 28032, 489, 8147, 10429, 370, 18809, 25060, 483, 12571, 360, 4970, 353, 14748, 418, 369, 489, 13644, 499, 25913, 25622, 16088, 11687, 14682, 633, 318, 29239, 318, 571, 1047, 3890, 13127, 23687, 11687, 14682, 633, 6831, 2396, 318, 571, 1047, 3890, 476, 25707, 258, 476, 12916, 379, 17958, 25913, 25622, 3553, 10000, 3890, 5236, 376, 490, 23284, 10429, 491, 21928, 30006, 493, 14748, 418, 369, 489, 13644, 499, 25913, 25622, 18809, 421, 25693, 10254, 505, 417, 375, 374, 13161, 364, 7511, 421, 505, 485, 417, 495, 502, 14395, 508, 28032, 489, 12486, 13213, 494, 27310, 30244, 14748, 418, 369, 489, 13644, 499, 17958, 28032, 489, 8147, 419, 350, 362, 18777, 353, 4970, 353, 14748, 418, 369, 489, 13644, 499, 421, 25693, 20881, 504, 13213, 485, 29072, 12486, 7531, 5035, 31287, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 535, 333, 267, 23692, 267, 14057, 2187, 1038, 1582, 8807, 1009, 12173, 815, 535, 333, 454, 1038, 1582, 7456, 848, 12173, 815, 23692, 454, 1038, 1582, 4732, 531, 776, 815, 14057, 692, 825, 1219, 2285, 318, 571, 1047, 4311, 267, 1003, 284, 4335, 271, 2187, 1038, 1582, 4732, 531, 776, 6834, 1003, 692, 825, 1219, 1397, 5334, 531, 776, 4311, 2187, 1038, 2132, 1582, 4732, 531, 776, 454, 0, 258, 476, 274, 268, 274, 29635, 485, 359, 26266, 365, 7511, 28578, 23989, 16088, 17276, 481, 367, 418, 481, 367, 12916, 510, 417, 500, 506, 418, 361, 351, 7511, 20881, 504, 417, 489, 353, 25913, 19764, 493, 8147, 417, 28187, 421, 359, 495, 418, 495, 358, 19867, 502, 420, 377, 355, 16043, 500, 19764, 478, 418, 365, 377, 420, 377, 355, 8147, 23946, 370, 10254, 505, 417, 375, 374, 22047, 25060, 483, 12571, 360, 14035, 504, 26175, 491, 20881, 504, 417, 489, 353, 25913, 19764, 493, 7511, 28578, 23989, 12486, 21550, 373, 29004, 362, 13644, 354, 28578, 23989, 19867, 497, 22287, 364, 13601, 419, 367, 375, 28578, 20069, 10429, 367, 30244, 11590, 505, 20881, 504, 417, 489, 353, 25913, 19764, 493, 7511, 14395, 352, 420, 357, 478, 8147, 454, 258, 13127, 28187, 14881, 1131, 899, 547, 1378, 513, 670, 25352, 27576, 892, 12486, 692, 339, 8962, 815, 18358, 321, 833, 3299, 1412, 29423, 328, 3299, 1412, 13696, 310, 23300, 2745, 2891, 296, 1131, 899, 547, 1378, 513, 834, 1341, 2645, 314, 271, 7481, 2745, 2891, 296, 1131, 899, 547, 1378, 513, 834, 1341, 2645, 314, 272, 7481, 2745, 2891, 296, 1131, 899, 547, 1378, 513, 834, 1341, 2645, 314, 273, 7481, 0, 2260, 595, 1982, 547, 4194, 2428, 543, 30021, 3097, 2260, 1966, 1210, 16797, 23037, 269, 3097, 258, 514, 2850, 283, 560, 323, 1470, 19544, 285, 8528, 2260, 6396, 547, 1820, 519, 5044, 3097, 341, 1355, 1820, 26161, 263, 10420, 2855, 314, 8079, 3097, 346, 3097, 22610, 17301, 1775, 815, 476, 271, 282, 1775, 2999, 476, 277, 282, 1775, 10030, 264, 3097, 453, 346, 3097, 453, 13537, 325, 2891, 260, 322, 14307, 2855, 5157, 316, 5148, 3097, 453, 348, 3097, 13537, 325, 19629, 333, 257, 5148, 3097, 348, 8528, 2260, 5381, 547, 3044, 15652, 1505, 269, 3097, 2260, 3371, 649, 1780, 519, 22141, 3693, 1932, 3097, 2260, 3079, 540, 7446, 621, 3330, 519, 1505, 269, 3097, 842, 15652, 263, 10420, 2855, 314, 3910, 703, 1970, 267, 3097, 4848, 453, 842, 1164, 267, 1347, 22141, 264, 3097, 346, 3097, 453, 842, 1775, 815, 1970, 282, 3097, 453, 10420, 10917, 272, 267, 10917, 273, 282, 3097, 28768, 22610, 17301, 795, 815, 1970, 282, 795, 2999, 1164, 282, 795, 10030, 264, 3097, 453, 346, 3097, 453, 14851, 630, 1551, 14728, 316, 2999, 22141, 264, 3097, 453, 453, 346, 3097, 4848, 453, 31184, 272, 815, 2855, 5157, 22049, 3097, 4848, 453, 1551, 5157, 316, 815, 2855, 14728, 22049, 3097, 4848, 453, 1551, 14728, 316, 815, 10917, 272, 282, 3097, 4848, 453, 328, 10030, 282, 3097, 453, 453, 348, 3097, 453, 28432, 952, 19906, 14728, 316, 2652, 22141, 264, 3097, 453, 453, 346, 3097, 4848, 453, 31184, 272, 815, 2855, 14728, 22049, 3097, 4848, 453, 1551, 14728, 316, 815, 2855, 314, 14683, 22049, 3097, 4848, 453, 1551, 314, 14683, 316, 815, 10917, 272, 282, 3097, 4848, 453, 329, 734, 282, 3097, 453, 453, 348, 3097, 453, 348, 3097, 453, 31184, 273, 815, 2855, 5157, 22049, 3097, 453, 1551, 5157, 316, 815, 2855, 314, 14683, 22049, 3097, 453, 1551, 314, 14683, 316, 815, 10917, 273, 282, 8528, 453, 2260, 17776, 519, 15652, 4994, 540, 3097, 453, 2260, 606, 5044, 1759, 593, 519, 22141, 3097, 453, 2260, 3693, 540, 824, 5044, 269, 3097, 16596, 1775, 282, 3097, 348, 8528, 2260, 9577, 799, 1568, 1175, 899, 2656, 4990, 3097, 341, 1355, 6474, 303, 4202, 263, 10420, 10808, 314, 3910, 1347, 31211, 314, 3910, 3097, 15235, 453, 842, 1970, 267, 703, 1164, 264, 3097, 346, 3097, 14851, 630, 869, 2999, 1164, 264, 3097, 453, 346, 3097, 4848, 454, 453, 453, 2260, 7994, 2063, 1915, 540, 31211, 3097, 453, 453, 2260, 5044, 585, 10808, 15652, 269, 3097, 453, 453, 842, 22141, 815, 15652, 3799, 7491, 267, 1970, 267, 3097, 20930, 4848, 453, 14683, 267, 31211, 314, 14683, 316, 5148, 8528, 453, 453, 2260, 3767, 1210, 519, 15652, 540, 10808, 3097, 453, 453, 2260, 3442, 602, 585, 31211, 15652, 269, 3097, 453, 453, 4820, 819, 263, 2513, 1206, 267, 1970, 267, 1164, 267, 10808, 314, 335, 643, 582, 316, 5148, 8528, 453, 453, 2260, 1234, 2017, 585, 1496, 869, 1862, 335, 643, 582, 268, 272, 316, 1299, 3097, 453, 453, 2260, 1496, 335, 643, 582, 266, 272, 1862, 14683, 316, 585, 10808, 543, 3097, 453, 453, 2260, 31211, 5044, 269, 3097, 453, 453, 332, 2255, 303, 4202, 3799, 7491, 267, 31211, 267, 1970, 267, 22141, 910, 476, 272, 5148, 3097, 453, 453, 332, 2255, 303, 4202, 3799, 7491, 267, 31211, 267, 22141, 1341, 476, 272, 267, 1164, 5148, 3097, 453, 348, 3097, 348, 8528, 2260, 30905, 3009, 3097, 842, 1292, 3890, 3097, 346, 3097, 28768, 453, 2260, 715, 7491, 543, 31211, 616, 6719, 3097, 453, 2260, 607, 5044, 540, 3197, 3097, 453, 10420, 10808, 26514, 815, 27835, 287, 3299, 1412, 258, 3299, 1412, 259, 3299, 1412, 260, 3299, 1412, 317, 3299, 1412, 261, 262, 348, 282, 3097, 453, 10420, 31211, 26514, 815, 27835, 259, 3299, 1412, 260, 3299, 1412, 261, 3299, 1412, 317, 3299, 1412, 287, 3299, 1412, 258, 262, 348, 282, 8528, 453, 2260, 6396, 1759, 593, 2656, 4990, 799, 3097, 453, 2260, 13292, 10808, 543, 31211, 3097, 453, 332, 2255, 303, 4202, 3799, 7491, 267, 31211, 267, 476, 271, 267, 476, 276, 5148, 8528, 13537, 325, 2891, 12385, 3481, 10808, 543, 31211, 616, 2433, 1422, 333, 257, 5148, 3097, 28768, 13537, 26161, 3799, 7491, 5148, 3097, 13537, 26161, 263, 2513, 1206, 5148, 3097, 348, 8528, 2260, 901, 3009, 568, 8329, 676, 589, 2466, 631, 836, 531, 269, 3097, 0, 5814, 524, 338, 2004, 8528, 6112, 6936, 912, 825, 1820, 2891, 302, 688, 328, 256, 1215, 1454, 1689, 568, 7640, 539, 286, 5602, 825, 21347, 815, 524, 338, 2004, 10947, 318, 15615, 3890, 3248, 825, 952, 21347, 13843, 476, 271, 912, 1038, 2736, 692, 15615, 5091, 20683, 815, 21347, 2608, 476, 1911, 3248, 323, 20683, 815, 5180, 263, 15615, 5091, 20683, 11850, 15893, 15058, 318, 23915, 815, 476, 271, 454, 6112, 5560, 20683, 13843, 476, 1839, 2187, 825, 13362, 20699, 476, 1839, 454, 825, 1297, 15058, 318, 23915, 6834, 476, 272, 692, 6112, 5560, 20683, 13843, 476, 1015, 2187, 825, 13362, 20699, 476, 1015, 454, 825, 1297, 15058, 318, 23915, 6834, 476, 272, 22562, 6112, 5560, 20683, 13843, 476, 276, 2187, 825, 13362, 20699, 476, 276, 3248, 825, 1297, 15058, 318, 23915, 6834, 476, 272, 16963, 2745, 2891, 24001, 2668, 8971, 28840, 15058, 318, 23915, 1341, 13362, 4297, 0, 258, 19405, 6744, 454, 5814, 13483, 331, 531, 17057, 344, 454, 338, 27942, 531, 17057, 344, 14857, 11437, 1029, 7531, 258, 4045, 532, 630, 1729, 513, 3965, 1152, 6538, 994, 5228, 13483, 331, 531, 17057, 344, 1104, 1711, 318, 19956, 454, 19956, 815, 1711, 318, 19956, 3488, 338, 27942, 924, 2517, 270, 281, 332, 25514, 281, 3299, 16079, 18989, 9239, 258, 13207, 732, 513, 29570, 454, 258, 14674, 6538, 7515, 267, 543, 5581, 5049, 547, 4786, 547, 1346, 7515, 454, 5228, 13483, 331, 531, 17057, 344, 269, 2169, 19709, 743, 541, 894, 1104, 3616, 541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 547, 19074, 602, 1895, 540, 2055, 593, 824, 4255, 269, 1548, 568, 519, 6693, 305, 24655, 2349, 4169, 616, 1031, 538, 4255, 547, 26924, 519, 1053, 4309, 1114, 8747, 540, 519, 2560, 9521, 2243, 5036, 267, 4351, 7161, 2721, 2055, 689, 20115, 1152, 269, 2560, 634, 4530, 2052, 11663, 5526, 543, 10525, 513, 1967, 5048, 269, 0, 763, 1004, 540, 3057, 335, 20811, 543, 3474, 657, 5249, 5631, 538, 8105, 269, 634, 2916, 543, 3037, 19916, 7957, 10696, 6694, 2504, 543, 519, 1646, 540, 1082, 8105, 5829, 22825, 630, 30138, 13205, 267, 521, 5417, 12661, 5474, 267, 23132, 619, 267, 3094, 655, 5474, 267, 6705, 1040, 1306, 513, 6917, 2146, 267, 519, 1004, 540, 3474, 657, 9976, 519, 2244, 267, 922, 4829, 543, 2831, 538, 905, 6814, 543, 3909, 2621, 563, 2108, 4002, 476, 277, 4864, 267, 950, 519, 18683, 1376, 4742, 4418, 2678, 1107, 693, 2547, 538, 519, 23617, 267, 1317, 789, 1491, 1454, 3476, 593, 2362, 31556, 1107, 519, 21649, 1554, 540, 519, 3690, 14808, 4851, 540, 4906, 267, 1310, 519, 10143, 1396, 21395, 814, 8694, 267, 519, 17308, 14509, 519, 968, 321, 1652, 532, 585, 519, 1209, 542, 540, 18683, 892, 543, 12196, 525, 519, 18683, 602, 27142, 723, 4547, 547, 519, 5939, 568, 1507, 30504, 610, 20386, 538, 10077, 1407, 269, 3245, 602, 1554, 27477, 267, 789, 1376, 4189, 18683, 607, 1034, 540, 873, 723, 1631, 18009, 2989, 892, 630, 2704, 760, 7949, 529, 267, 476, 1960, 276, 267, 533, 269, 476, 10482, 1916, 763, 21649, 540, 519, 9061, 593, 476, 1691, 5181, 568, 3226, 1271, 585, 521, 12976, 269, 26478, 1131, 1491, 513, 9126, 540, 10568, 2059, 609, 513, 533, 727, 28699, 622, 547, 519, 5939, 585, 519, 17308, 547, 12196, 269, 968, 4131, 519, 2244, 10351, 3729, 543, 2285, 6079, 547, 30889, 543, 3694, 547, 3548, 892, 12462, 289, 1652, 532, 540, 519, 5452, 26158, 1358, 28520, 3368, 540, 519, 10568, 689, 713, 9126, 538, 519, 4610, 950, 789, 3323, 521, 12976, 269, 2311, 519, 1439, 540, 519, 521, 12976, 267, 789, 28520, 538, 519, 1964, 540, 519, 9126, 543, 1159, 14414, 519, 533, 727, 28699, 622, 267, 547, 1118, 2386, 789, 1131, 1205, 513, 1434, 7556, 563, 24685, 519, 2025, 2395, 267, 789, 1031, 547, 1491, 513, 1507, 9126, 4904, 609, 10568, 543, 513, 533, 727, 28699, 622, 547, 5939, 269, 2201, 602, 1554, 267, 596, 1223, 1294, 1256, 835, 4627, 1004, 538, 972, 267, 1317, 1394, 1287, 1004, 941, 7184, 1821, 719, 269, 1358, 3576, 891, 547, 519, 17308, 585, 26460, 543, 1287, 609, 873, 1394, 1753, 282, 607, 4166, 607, 519, 521, 12976, 3323, 267, 950, 19610, 3404, 523, 3323, 726, 965, 532, 543, 521, 12976, 267, 789, 8118, 713, 9126, 543, 2322, 519, 5452, 538, 972, 538, 513, 3677, 9126, 1577, 779, 2161, 267, 865, 602, 782, 5452, 16207, 547, 519, 3618, 1131, 581, 25552, 607, 1134, 269, 4495, 519, 586, 3183, 729, 936, 543, 519, 726, 965, 532, 543, 521, 12976, 1185, 8737, 267, 789, 1159, 14414, 519, 533, 727, 28699, 622, 593, 519, 726, 965, 269, 901, 568, 1018, 1250, 4651, 1705, 543, 621, 568, 689, 1864, 602, 594, 917, 543, 723, 1044, 6026, 891, 1919, 892, 630, 306, 6853, 4592, 17578, 580, 517, 5362, 1916, 763, 5939, 540, 7754, 698, 807, 27118, 680, 3999, 20811, 610, 12379, 30950, 527, 20811, 267, 538, 3057, 335, 20811, 267, 799, 22842, 593, 519, 21649, 540, 519, 19809, 540, 7910, 6307, 593, 476, 2641, 5437, 267, 568, 849, 5532, 547, 521, 12976, 269, 901, 21649, 568, 538, 519, 1647, 540, 519, 521, 12976, 4005, 563, 4263, 8285, 267, 2777, 342, 1161, 1031, 547, 1500, 8285, 3694, 269, 2311, 4010, 28813, 267, 519, 4487, 540, 519, 2777, 1131, 1205, 909, 267, 1491, 856, 519, 3844, 1448, 540, 519, 3694, 10023, 519, 3444, 267, 2759, 621, 538, 2185, 543, 3049, 621, 547, 519, 2831, 602, 1131, 581, 586, 12097, 269, 1261, 1131, 12235, 621, 538, 519, 12450, 585, 519, 2831, 543, 1287, 4734, 267, 1317, 2687, 547, 2245, 267, 646, 1058, 711, 3251, 543, 5873, 519, 2831, 6158, 547, 1142, 824, 267, 6031, 968, 14188, 2696, 267, 649, 616, 512, 8463, 938, 547, 559, 17373, 630, 293, 3271, 320, 1323, 748, 13403, 1916, 763, 21649, 540, 3397, 3930, 3525, 652, 657, 4371, 513, 2027, 1747, 538, 519, 1272, 540, 6705, 267, 607, 646, 729, 519, 2149, 528, 540, 2831, 267, 2523, 726, 965, 2831, 269, 2201, 519, 1554, 540, 1010, 21649, 267, 476, 1240, 5412, 267, 6705, 945, 1185, 2831, 3576, 1148, 657, 3694, 17008, 547, 519, 5939, 267, 519, 865, 1572, 968, 341, 3716, 3591, 27622, 892, 630, 2135, 3694, 1070, 799, 729, 2663, 6035, 547, 519, 2831, 607, 8007, 585, 741, 9295, 547, 519, 2504, 540, 10286, 269, 634, 21649, 729, 513, 1554, 540, 1964, 585, 519, 2831, 543, 789, 941, 711, 4847, 547, 960, 563, 763, 5939, 540, 3397, 3930, 3525, 652, 657, 729, 8385, 3710, 547, 581, 519, 5939, 540, 519, 3690, 14808, 4851, 540, 4906, 269, 898, 729, 26948, 547, 3397, 3930, 3525, 652, 657, 5939, 538, 476, 4350, 272, 267, 950, 519, 12835, 540, 519, 23920, 729, 13556, 269, 589, 1895, 540, 1762, 1004, 267, 23951, 560, 656, 16394, 715, 269, 1325, 760, 7949, 529, 267, 674, 758, 542, 553, 715, 269, 1325, 760, 7949, 529, 267, 23323, 528, 657, 594, 269, 918, 1030, 531, 553, 267, 2605, 836, 7416, 657, 717, 269, 918, 1030, 531, 553, 267, 594, 334, 2335, 529, 631, 269, 17578, 656, 537, 5894, 267, 17435, 527, 686, 657, 631, 269, 17578, 656, 537, 5894, 267, 6659, 2724, 547, 1118, 519, 12835, 540, 519, 23920, 543, 1310, 519, 20431, 566, 789, 6905, 519, 5939, 267, 609, 741, 1378, 2123, 960, 543, 1210, 544, 2737, 547, 4163, 10007, 689, 2473, 324, 1817, 1014, 328, 269, 769, 713, 1259, 267, 6705, 3893, 513, 5939, 540, 741, 19121, 23920, 267, 593, 519, 21649, 540, 7247, 267, 2687, 547, 5359, 267, 519, 2199, 6705, 6035, 909, 547, 476, 3445, 1148, 657, 3694, 338, 2336, 19425, 1161, 540, 519, 5948, 968, 305, 719, 525, 538, 3057, 335, 20811, 9731, 2704, 760, 7949, 529, 267, 715, 269, 630, 1960, 276, 264, 968, 394, 497, 15770, 22886, 16708, 24556, 14267, 14267, 15403, 24681, 14267, 14832, 14267, 19031, 15403, 24681, 31149, 26018, 24341, 19084, 3852, 510, 31149, 16708, 14267, 21227, 281, 3852, 506, 10382, 16708, 16483, 21227, 16708, 29111, 15770, 19084, 14668, 11027, 32703, 26018, 14267, 3852, 374, 10382, 16483, 31149, 17385, 16483, 15403, 395, 485, 14267, 26018, 14267, 21227, 3852, 511, 19031, 11027, 14267, 16708, 14267, 21227, 3852, 503, 22886, 31149, 14832, 269, 3852, 505, 15770, 15512, 31149, 14832, 16483, 24341, 14668, 11027, 32703, 26018, 14267, 14832, 18529, 16708, 10382, 24556, 14267, 21227, 16575, 31149, 892, 630, 13070, 3472, 1116, 13188, 540, 3474, 657, 281, 4530, 574, 23888, 689, 519, 5638, 540, 21471, 594, 334, 2335, 529, 2274, 1203, 529, 540, 28463, 9567, 553, 264, 3852, 353, 10382, 3852, 510, 10382, 16708, 15403, 10382, 14832, 31149, 267, 3390, 476, 6872, 267, 4989, 1107, 4873, 267, 18603, 267, 533, 269, 476, 6200, 268, 12893, 454, 309, 553, 8270, 641, 9567, 657, 267, 594, 269, 543, 25676, 565, 1080, 3999, 328, 267, 661, 269, 630, 1001, 274, 264, 968, 394, 352, 11027, 14267, 16708, 31149, 1107, 3852, 502, 394, 511, 16708, 14267, 19084, 910, 394, 495, 16575, 395, 492, 14832, 15403, 17385, 19031, 10382, 1107, 3852, 506, 395, 491, 16575, 14267, 19084, 1107, 3852, 484, 16708, 16483, 14267, 19084, 281, 3852, 506, 15770, 16575, 15770, 16483, 395, 492, 14832, 16483, 10382, 19084, 26018, 14267, 14832, 3852, 374, 395, 491, 24681, 16575, 14267, 26018, 22886, 14832, 18529, 24341, 19031, 24341, 16483, 16708, 15403, 10382, 24681, 395, 492, 14832, 892, 630, 306, 12976, 1107, 28610, 1107, 774, 637, 3107, 1107, 631, 3739, 1107, 29968, 281, 24356, 519, 4783, 540, 9274, 1040, 3852, 353, 10382, 3852, 510, 10382, 16708, 15403, 10382, 14832, 31149, 267, 3390, 476, 14530, 267, 5239, 1107, 5412, 267, 18603, 267, 533, 269, 476, 275, 866, 268, 275, 2767, 454, 295, 8432, 5450, 24227, 540, 3474, 517, 1314, 807, 267, 7754, 698, 807, 27118, 680, 3999, 20811, 610, 12379, 30950, 527, 20811, 630, 303, 19948, 540, 519, 7910, 6307, 1040, 12232, 693, 281, 8940, 269, 328, 2173, 24733, 517, 1314, 5362, 3052, 337, 1496, 1015, 270, 4905, 270, 1708, 272, 2639, 22492, 7064, 547, 21208, 26320, 1325, 760, 7949, 529, 267, 7579, 320, 1323, 748, 13403, 267, 20153, 807, 918, 1030, 8403, 267, 1975, 344, 4592, 17578, 580, 517, 5362, 585, 519, 1344, 543, 741, 3407, 6351, 269, 0, 288, 9266, 2232, 568, 519, 2232, 693, 799, 606, 6221, 630, 332, 25514, 1591, 267, 4859, 3693, 267, 3060, 3984, 264, 5526, 547, 21078, 689, 519, 5133, 540, 606, 3498, 1982, 602, 4291, 2373, 621, 269, 769, 930, 2665, 267, 513, 9266, 2232, 949, 8428, 689, 513, 2168, 2232, 1813, 547, 519, 8144, 610, 11837, 540, 606, 2232, 563, 1432, 1772, 1323, 7151, 2986, 589, 8298, 673, 17372, 769, 32730, 888, 7709, 543, 7379, 311, 10873, 1711, 543, 946, 9266, 9607, 269, 8298, 673, 9607, 616, 12261, 547, 26914, 9607, 676, 519, 8416, 4494, 7014, 269, 769, 519, 2013, 540, 7379, 607, 519, 8416, 4494, 7014, 267, 585, 1383, 267, 3457, 593, 519, 3060, 616, 8655, 606, 7379, 2232, 540, 476, 21709, 267, 585, 1383, 269, 476, 6344, 454, 1432, 1772, 8447, 1656, 8298, 673, 17372, 769, 32730, 888, 2691, 513, 1982, 568, 4881, 267, 519, 17765, 12958, 513, 9266, 2232, 269, 769, 513, 3965, 267, 519, 8447, 17372, 14439, 519, 4087, 540, 519, 2838, 1239, 269, 8447, 9607, 616, 711, 2047, 9619, 676, 519, 3593, 267, 855, 741, 9266, 9607, 616, 563, 1432, 1772, 16338, 9737, 594, 335, 17372, 1656, 8298, 673, 17372, 888, 7709, 9607, 616, 9266, 9607, 8655, 676, 3301, 23493, 593, 519, 18760, 610, 7746, 267, 543, 789, 666, 1689, 689, 942, 547, 942, 269, 1280, 1383, 267, 513, 15291, 949, 581, 8655, 513, 1007, 7379, 950, 621, 6238, 909, 538, 513, 1114, 28326, 13607, 630, 5408, 667, 295, 9573, 1916, 3963, 594, 335, 17372, 1772, 595, 6817, 8298, 673, 17372, 888, 5308, 296, 2203, 3096, 7379, 17372, 525, 547, 5968, 609, 519, 3060, 4494, 630, 1492, 7379, 4494, 540, 27427, 270, 7709, 1040, 769, 713, 2013, 267, 621, 568, 513, 9266, 2232, 630, 663, 711, 606, 11251, 2232, 264, 8655, 676, 519, 8416, 23070, 610, 5769, 3028, 8502, 269, 4475, 267, 707, 7379, 2232, 666, 1689, 607, 596, 1921, 547, 519, 5769, 1169, 942, 563, 1432, 1772, 589, 8298, 673, 594, 335, 17372, 888, 7709, 9607, 616, 9266, 9607, 8655, 676, 3301, 23493, 593, 513, 18760, 610, 7746, 267, 543, 789, 666, 1689, 689, 942, 547, 942, 269, 589, 3926, 666, 581, 4092, 538, 606, 7379, 3060, 676, 14291, 922, 9266, 7379, 2232, 547, 922, 2168, 2232, 630, 5408, 8121, 303, 1916, 7617, 17372, 1772, 589, 8298, 673, 17372, 888, 1103, 824, 1913, 267, 5691, 9607, 616, 9607, 602, 798, 711, 2291, 9308, 267, 865, 789, 616, 849, 1634, 607, 9266, 9607, 269, 8447, 3965, 6753, 666, 581, 15600, 676, 17765, 1210, 713, 2232, 563, 1432, 1772, 634, 20828, 2986, 8298, 673, 17372, 525, 769, 1323, 594, 335, 8416, 888, 16498, 3965, 6753, 666, 581, 15600, 1210, 513, 9266, 2232, 269, 769, 1931, 547, 2061, 18348, 532, 540, 3157, 267, 513, 9266, 2232, 568, 6383, 865, 602, 513, 3593, 1982, 3112, 1569, 519, 2168, 3965, 2047, 267, 543, 519, 1184, 1281, 711, 19582, 3965, 602, 568, 9715, 676, 1776, 1184, 563, 1432, 1772, 8298, 673, 17372, 1656, 8447, 17372, 7151, 888, 16498, 9607, 616, 6383, 676, 519, 17765, 950, 513, 1982, 568, 4881, 269, 8298, 673, 9607, 616, 6383, 676, 519, 17765, 950, 513, 1982, 568, 4881, 269, 1306, 10353, 547, 713, 267, 519, 2168, 2232, 568, 513, 4087, 538, 519, 3965, 1770, 602, 568, 1634, 547, 519, 3593, 269, 589, 1982, 779, 8298, 673, 17372, 6611, 568, 519, 1305, 540, 782, 9266, 9607, 6383, 676, 519, 17765, 563, 3674, 594, 335, 341, 275, 589, 8298, 673, 17372, 888, 1103, 7379, 341, 275, 267, 513, 3926, 630, 7945, 607, 513, 2780, 610, 513, 18760, 264, 568, 4448, 547, 519, 5769, 1210, 513, 476, 3953, 19229, 2232, 269, 1703, 616, 1100, 824, 7379, 341, 275, 9607, 2139, 269, 898, 568, 7543, 547, 723, 519, 1482, 2232, 585, 1079, 3457, 593, 519, 5769, 693, 519, 1482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4295, 21941, 538, 1883, 2127, 540, 18837, 8051, 267, 12611, 6514, 267, 543, 7634, 563, 268, 19098, 281, 11773, 538, 18837, 8051, 3340, 513, 2178, 5748, 538, 8051, 1983, 269, 769, 1034, 18837, 8051, 20277, 779, 3292, 267, 1053, 2347, 13654, 6030, 538, 8051, 1354, 13197, 7463, 18837, 8051, 17440, 269, 4841, 1451, 827, 8051, 2409, 543, 5773, 538, 1896, 2127, 267, 1519, 31707, 8051, 267, 1857, 8051, 267, 543, 2883, 8051, 269, 1452, 1983, 5965, 20021, 585, 8051, 7158, 538, 1082, 2027, 3074, 563, 268, 10748, 1746, 281, 634, 2702, 547, 20894, 2883, 5638, 267, 10625, 6959, 267, 543, 2327, 6111, 568, 513, 3844, 5057, 540, 18837, 8051, 269, 4841, 1353, 2596, 543, 4359, 2912, 1746, 2409, 543, 2553, 267, 1519, 4835, 2912, 1746, 543, 5007, 2912, 1746, 269, 901, 28671, 22316, 20021, 585, 4876, 3255, 538, 2912, 1746, 543, 18837, 8051, 563, 268, 11038, 5811, 281, 5983, 14750, 2272, 1218, 5659, 2883, 6054, 267, 1419, 607, 519, 1101, 1900, 538, 26500, 2883, 12611, 269, 15789, 538, 18837, 8051, 5721, 1053, 547, 2932, 513, 9488, 2883, 2079, 540, 1114, 2010, 540, 6054, 267, 609, 606, 8561, 593, 16326, 1808, 30081, 14565, 269, 19573, 919, 666, 4019, 741, 2883, 2079, 1983, 538, 18837, 8051, 267, 2912, 1746, 267, 543, 12611, 6514, 7158, 563, 268, 17793, 644, 22410, 281, 20727, 832, 538, 18837, 8051, 7794, 741, 12611, 6514, 1983, 543, 1451, 3157, 1644, 547, 27510, 606, 7634, 267, 7421, 2883, 6054, 267, 543, 13844, 2963, 540, 12611, 269, 4841, 849, 4983, 519, 4295, 2035, 540, 12611, 6514, 267, 971, 607, 2409, 543, 2553, 1031, 547, 2697, 12611, 563, 268, 27148, 281, 5983, 14750, 8051, 3340, 2178, 3329, 894, 1983, 269, 5983, 14750, 8051, 32407, 1628, 741, 3329, 894, 5759, 676, 11264, 17440, 538, 12611, 6514, 267, 2883, 1867, 2079, 267, 543, 2963, 11018, 269, 4841, 1451, 875, 547, 1628, 513, 2178, 12611, 2013, 676, 5967, 532, 22168, 267, 10655, 17245, 6169, 267, 543, 25643, 519, 4681, 689, 606, 7634, 563, 20288, 14750, 8051, 1053, 2347, 7463, 6030, 538, 12611, 7020, 267, 3329, 894, 8051, 267, 543, 2912, 1746, 269, 634, 1808, 6030, 4268, 4470, 593, 519, 1982, 563, 268, 4985, 547, 5983, 14750, 19098, 281, 3509, 18837, 8051, 3292, 2253, 609, 606, 2606, 1576, 267, 799, 2488, 606, 7650, 540, 519, 2361, 269, 4841, 1353, 519, 1184, 540, 14236, 267, 16326, 267, 543, 25643, 12611, 269, 15783, 1806, 1331, 9441, 17403, 267, 6006, 12611, 338, 267, 543, 900, 2041, 3960, 2211, 269, 901, 1362, 22316, 8051, 32407, 585, 4359, 6030, 538, 18837, 8051, 563, 268, 10748, 1746, 281, 5983, 14750, 8051, 1053, 1419, 1491, 5049, 538, 2912, 1746, 547, 7794, 741, 3329, 894, 1983, 269, 1323, 2912, 1746, 1576, 14884, 1053, 547, 5531, 2963, 282, 2932, 606, 20894, 540, 7221, 267, 20824, 267, 543, 4747, 6898, 282, 543, 1711, 606, 20894, 1867, 269, 4841, 849, 1451, 827, 2912, 1746, 7881, 267, 8989, 4170, 585, 32116, 267, 543, 1114, 2409, 540, 10647, 606, 20894, 563, 268, 17793, 644, 22410, 281, 20043, 593, 12611, 6514, 6338, 1053, 547, 519, 12191, 540, 12611, 6514, 269, 901, 1362, 7710, 519, 1184, 540, 13844, 17245, 2963, 267, 5967, 532, 1761, 31268, 267, 543, 1603, 3329, 894, 5359, 269, 4841, 1451, 547, 3713, 519, 1034, 1455, 3029, 540, 2883, 12611, 267, 6961, 2883, 12611, 998, 18837, 3561, 6514, 267, 543, 2936, 6604, 2994, 563, 268, 19877, 532, 9828, 585, 17793, 644, 15766, 725, 281, 17793, 644, 22602, 1419, 2932, 11042, 543, 23827, 622, 12611, 31268, 547, 10625, 2883, 12611, 269, 901, 1576, 7710, 519, 2553, 543, 2994, 1031, 547, 5967, 12611, 31268, 610, 6105, 540, 1719, 267, 1519, 16208, 11913, 543, 26068, 10291, 269, 4841, 849, 1451, 875, 547, 1544, 267, 2932, 267, 543, 3561, 741, 4681, 563, 268, 23618, 532, 17793, 644, 12040, 11038, 32276, 281, 5983, 14750, 8051, 32407, 538, 713, 1576, 1451, 875, 547, 5659, 2883, 6898, 547, 10625, 12611, 269, 4841, 4983, 1114, 2010, 540, 12611, 267, 875, 789, 666, 2408, 538, 2883, 1344, 267, 543, 1455, 12611, 14565, 269, 634, 1576, 14884, 1053, 547, 2689, 267, 3713, 267, 543, 8495, 16143, 30081, 2883, 6898, 267, 609, 606, 8561, 593, 25107, 2553, 543, 5773, 563, 16914, 1042, 2787, 6411, 607, 513, 15262, 540, 4081, 17284, 269, 30793, 2471, 543, 9945, 32380, 10929, 606, 20774, 2787, 2689, 689, 606, 4830, 267, 18758, 8116, 547, 7118, 20774, 2787, 269, 4438, 519, 2689, 267, 519, 20774, 1746, 8116, 27786, 4632, 899, 606, 9872, 779, 22692, 4170, 267, 12200, 20340, 267, 543, 2875, 1565, 4093, 269, 30793, 2471, 543, 9945, 602, 7118, 20774, 2787, 1590, 10929, 13350, 8039, 547, 2226, 741, 4567, 563, 4263, 519, 12250, 1377, 267, 6237, 543, 3084, 20774, 1746, 8041, 9886, 20774, 2787, 547, 606, 3003, 2852, 610, 6280, 269, 13636, 20774, 2787, 4564, 519, 5207, 3044, 585, 12666, 6575, 543, 1382, 5238, 267, 1247, 3084, 20774, 2787, 3335, 10039, 547, 25367, 543, 2930, 5238, 563, 1103, 1840, 547, 6237, 543, 3084, 20774, 2787, 267, 606, 8051, 1982, 666, 3180, 1982, 15122, 20774, 2787, 269, 7981, 1242, 1982, 15122, 20774, 1746, 8041, 2689, 835, 1808, 1982, 267, 971, 607, 513, 1870, 1153, 267, 4116, 7041, 1982, 267, 610, 1514, 960, 1982, 269, 5358, 15122, 20774, 1746, 8041, 2708, 1576, 2326, 267, 4110, 4170, 267, 543, 1565, 4093, 585, 1982, 20021, 269, 5983, 14750, 8051, 3292, 949, 3180, 20774, 2787, 998, 519, 5948, 547, 21992, 2051, 5586, 5573, 12140, 540, 6355, 563, 16914, 1042, 2787, 4249, 606, 1271, 1909, 585, 8051, 1053, 269, 28946, 1080, 12236, 693, 513, 3148, 958, 26886, 9872, 786, 811, 2693, 4483, 547, 824, 5238, 267, 543, 606, 26886, 4110, 568, 811, 2693, 547, 2743, 13995, 4170, 269, 2368, 10927, 3292, 1152, 3398, 1053, 609, 606, 15938, 4110, 689, 606, 26886, 9872, 269, 6684, 267, 12820, 949, 946, 20774, 2787, 4567, 547, 4990, 2816, 23078, 267, 26724, 20021, 689, 606, 26886, 1982, 563, 7661, 267, 1152, 26886, 5238, 20618, 585, 5313, 2883, 5351, 269, 1306, 971, 267, 17053, 8051, 1053, 1058, 1152, 2015, 26886, 5238, 269, 3776, 18837, 8051, 1982, 6538, 1152, 2882, 26886, 3506, 563, 5475, 15980, 513, 18837, 8051, 20277, 779, 4110, 267, 20021, 666, 11654, 2816, 3255, 538, 741, 2361, 267, 4019, 547, 10927, 1153, 267, 610, 5965, 585, 13995, 18362, 547, 1796, 856, 593, 519, 2816, 2344, 563, 11767, 519, 4518, 4403, 454, 288, 20277, 779, 4110, 538, 18837, 8051, 22316, 20021, 585, 11678, 607, 12611, 981, 29794, 543, 18837, 2272, 1218, 269, 769, 891, 4610, 267, 18837, 8051, 32407, 4019, 741, 2883, 543, 3329, 894, 1983, 547, 10625, 2883, 12611, 269, 12333, 3906, 666, 849, 948, 20021, 2697, 2816, 3255, 543, 4283, 519, 13781, 1310, 22692, 563, 303, 2720, 826, 513, 9457, 779, 23422, 454, 4415, 513, 20277, 779, 538, 18837, 8051, 267, 20021, 666, 849, 979, 593, 547, 7118, 513, 4487, 779, 4110, 547, 4228, 741, 4876, 3681, 543, 11654, 7158, 609, 2799, 5539, 543, 14057, 1761, 269, 19573, 919, 666, 7118, 513, 4487, 779, 538, 8051, 267, 18837, 8051, 267, 2912, 1746, 267, 610, 12611, 6514, 563, 268, 6258, 2859, 6168, 513, 9457, 779, 23422, 538, 5983, 14750, 19098, 454, 20288, 14750, 2272, 1218, 666, 1796, 856, 593, 519, 2816, 2344, 676, 13844, 13995, 538, 513, 2361, 899, 12611, 6514, 269, 1677, 3489, 13995, 267, 10457, 3335, 991, 547, 2743, 3872, 4170, 267, 1780, 606, 6514, 267, 543, 2347, 11173, 2069, 17099, 547, 2226, 741, 22754, 563, 2414, 1831, 513, 18837, 2272, 656, 267, 1100, 2229, 268, 1170, 4240, 12689, 568, 2838, 269, 1717, 267, 24501, 1644, 547, 18837, 8051, 543, 12611, 7634, 616, 9783, 676, 1896, 3318, 12205, 269, 3371, 616, 930, 540, 519, 24501, 596, 949, 6999, 547, 11654, 679, 8905, 547, 4742, 513, 18837, 2272, 656, 912, 268, 26133, 5398, 10055, 656, 630, 290, 5183, 2567, 1411, 1810, 1406, 723, 547, 581, 513, 595, 5183, 547, 581, 513, 18837, 2272, 656, 267, 855, 713, 13995, 568, 1360, 3407, 269, 1452, 1614, 5022, 2161, 602, 596, 616, 606, 2272, 656, 945, 814, 1185, 513, 11826, 2069, 543, 5293, 835, 540, 519, 27162, 4554, 24416, 18362, 538, 519, 2136, 2276, 269, 4746, 267, 519, 5948, 540, 26133, 5398, 10055, 1218, 2152, 513, 26133, 538, 11038, 5983, 985, 923, 630, 290, 13697, 264, 19609, 585, 18837, 2272, 1218, 563, 268, 26133, 5983, 14750, 1401, 3133, 518, 630, 20003, 292, 2567, 634, 18435, 292, 568, 24903, 519, 1034, 6444, 19609, 1644, 547, 18837, 8051, 269, 634, 5948, 540, 26133, 17793, 644, 1401, 3133, 619, 630, 3722, 25539, 264, 2152, 519, 18435, 292, 25084, 282, 3643, 8940, 28482, 10623, 2593, 563, 268, 26133, 5983, 14750, 11038, 8890, 560, 630, 20003, 11902, 2567, 634, 18435, 11902, 25084, 568, 23032, 676, 519, 2817, 5948, 540, 26133, 966, 2728, 566, 8890, 7370, 630, 2793, 20302, 288, 1070, 799, 568, 1655, 1634, 585, 922, 26133, 966, 2728, 566, 8890, 560, 630, 20302, 288, 264, 13995, 281, 513, 13995, 538, 519, 29925, 540, 4213, 269, 6355, 3024, 725, 616, 1419, 5340, 585, 18837, 5301, 281, 1319, 3234, 11102, 13882, 267, 512, 2176, 267, 543, 25036, 609, 519, 594, 11965, 1644, 547, 10040, 543, 10516, 9204, 269, 6423, 8940, 8542, 659, 9366, 3820, 563, 20288, 14750, 19098, 20043, 6732, 4516, 454, 268, 28946, 1113, 281, 14411, 5441, 23958, 25890, 454, 268, 30991, 281, 6423, 7650, 585, 3877, 563, 268, 9351, 2986, 9314, 281, 6355, 454, 268, 5358, 8943, 281, 476, 5197, 272, 311, 6021, 11902, 302, 454, 268, 14288, 5729, 281, 20029, 476, 1708, 272, 1107, 4119, 476, 1708, 273, 454, 268, 28941, 281, 6732, 454, 268, 4033, 24822, 18169, 912, 268, 3487, 6066, 6732, 454, 19138, 519, 1983, 543, 2553, 2877, 547, 11654, 513, 4876, 538, 16326, 543, 7303, 12611, 563, 2252, 596, 616, 5461, 538, 11836, 519, 3395, 2361, 540, 18837, 8051, 543, 12611, 13753, 267, 519, 5983, 14750, 19098, 543, 17793, 644, 15766, 725, 14411, 5441, 23958, 25890, 1982, 2488, 596, 609, 519, 3318, 1983, 543, 2553, 547, 3713, 543, 2061, 12611, 538, 2221, 779, 1870, 1158, 269, 6258, 875, 547, 912, 20059, 580, 622, 543, 5659, 2883, 2963, 454, 7343, 569, 2780, 2553, 547, 13753, 454, 25219, 559, 1125, 519, 6436, 540, 7881, 543, 6309, 11659, 454, 24836, 706, 919, 949, 1265, 7694, 538, 519, 1857, 610, 4357, 5823, 538, 513, 3099, 540, 2127, 1519, 912, 293, 571, 644, 543, 2804, 2530, 3067, 2305, 454, 2750, 13630, 7198, 21981, 454, 1607, 1982, 568, 1134, 25252, 1243, 585, 1053, 945, 912, 5319, 2809, 7421, 543, 8989, 593, 513, 3099, 540, 2883, 1344, 563, 6701, 5461, 538, 7803, 8051, 13753, 543, 3540, 18659, 563, 6701, 6896, 538, 741, 960, 543, 2628, 3007, 547, 1469, 563, 6701, 2111, 547, 4019, 1702, 6591, 547, 2189, 3871, 607, 1142, 7634, 568, 2189, 563, 763, 10927, 814, 28761, 7152, 519, 2702, 547, 912, 22860, 2763, 513, 3099, 540, 2883, 6054, 547, 2697, 1344, 4143, 547, 513, 18837, 7634, 563, 23945, 543, 2932, 18837, 8051, 543, 2912, 1746, 13753, 602, 616, 5812, 609, 1699, 543, 7608, 3741, 543, 2853, 540, 18837, 7634, 563, 14946, 606, 3329, 894, 12191, 16135, 538, 513, 12497, 5943, 543, 5812, 609, 7608, 18837, 2553, 563, 26368, 8225, 8051, 630, 23744, 20504, 539, 19098, 14362, 264, 543, 2912, 1746, 4441, 630, 23744, 20504, 539, 10748, 1746, 11621, 264, 950, 7421, 543, 16208, 2883, 6898, 563, 13480, 538, 10220, 609, 3318, 3652, 540, 2932, 267, 5683, 9479, 267, 2872, 4441, 543, 4143, 9086, 563, 306, 527, 10663, 960, 607, 513, 18837, 31375, 1369, 519, 2796, 540, 519, 8225, 3540, 543, 7803, 5126, 1949, 563, 299, 11229, 267, 2708, 267, 5659, 267, 4612, 543, 1867, 1239, 1210, 2780, 3156, 563, 15973, 6510, 2883, 5359, 543, 3329, 894, 4681, 5693, 543, 8308, 267, 1312, 30375, 543, 538, 1603, 267, 15268, 5359, 547, 513, 3099, 540, 5304, 2115, 543, 8658, 563, 11328, 716, 609, 2043, 543, 2516, 547, 1489, 7817, 3347, 543, 2226, 2500, 2324, 3347, 563, 11328, 1613, 2043, 543, 1507, 2516, 547, 2445, 1344, 4143, 547, 513, 18837, 7634, 563, 24066, 10663, 519, 1981, 540, 7803, 7180, 1759, 593, 606, 7664, 540, 1312, 26447, 21876, 585, 12611, 267, 607, 1134, 607, 3466, 538, 519, 2872, 563, 26368, 543, 4019, 9015, 10391, 2853, 602, 3565, 547, 519, 2199, 543, 2518, 2146, 998, 1514, 5539, 267, 2804, 7029, 543, 2825, 19642, 563, 347, 3722, 290, 2004, 274, 271, 1475, 2004, 269, 271, 1475, 19547, 1254, 543, 10644, 540, 17793, 644, 2008, 21270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1568, 602, 1865, 922, 4473, 267, 2887, 267, 543, 4395, 4536, 563, 4002, 519, 3590, 18868, 2427, 972, 568, 10475, 2370, 547, 2721, 689, 2047, 269, 1703, 723, 1044, 513, 19625, 540, 4574, 593, 519, 29488, 540, 2829, 269, 769, 476, 3192, 279, 10793, 25264, 5206, 513, 1957, 585, 519, 3590, 18868, 6828, 693, 20037, 13886, 968, 290, 2753, 1436, 607, 27617, 281, 634, 5020, 12860, 540, 8836, 13870, 1848, 2311, 519, 476, 1960, 276, 4959, 17584, 8751, 700, 636, 11206, 4843, 513, 1957, 13886, 968, 306, 20980, 31511, 281, 3213, 1127, 542, 267, 27519, 267, 543, 24498, 2552, 9711, 1848, 5637, 4574, 1865, 519, 1966, 3622, 267, 855, 798, 711, 4481, 4228, 593, 519, 4936, 1533, 269, 11206, 5206, 930, 3606, 4574, 602, 1865, 824, 2127, 1107, 1034, 5063, 519, 15609, 693, 519, 476, 1001, 274, 4959, 17584, 1107, 855, 9039, 593, 7507, 563, 9827, 540, 1719, 568, 3627, 28238, 2006, 779, 476, 1960, 273, 1957, 585, 519, 3590, 18868, 6828, 693, 20037, 13886, 968, 20236, 268, 16391, 1436, 267, 26269, 267, 543, 11773, 542, 538, 519, 18868, 540, 11660, 7169, 1848, 634, 3889, 616, 2047, 26922, 547, 519, 1699, 960, 267, 609, 4936, 1858, 2921, 519, 1747, 540, 17565, 740, 6254, 338, 269, 4329, 7192, 1752, 267, 972, 616, 1568, 593, 1587, 1272, 31260, 602, 616, 1447, 2047, 26922, 267, 543, 789, 616, 711, 11855, 1934, 563, 26329, 13517, 543, 29896, 11778, 454, 763, 2203, 1138, 12885, 519, 1974, 476, 4335, 7460, 1107, 476, 5611, 271, 5084, 269, 898, 814, 2185, 3844, 1533, 4632, 281, 4936, 3557, 24540, 267, 6348, 268, 4936, 3557, 24540, 267, 15783, 3557, 24540, 267, 543, 6348, 268, 13750, 24540, 269, 1452, 616, 782, 2127, 267, 6027, 538, 4009, 5195, 269, 4936, 543, 6348, 268, 4936, 3557, 24540, 666, 2095, 689, 835, 547, 519, 824, 267, 543, 1312, 666, 10536, 2244, 689, 15783, 3557, 24540, 269, 634, 8545, 568, 8513, 602, 568, 12306, 543, 2919, 2484, 2614, 547, 17215, 543, 13998, 1489, 25465, 883, 513, 1533, 269, 6348, 268, 13750, 24540, 267, 2705, 267, 568, 711, 12306, 543, 2919, 2484, 2614, 269, 898, 7930, 3587, 865, 267, 1498, 519, 1184, 3217, 5553, 563, 31718, 543, 6348, 268, 4936, 3557, 24540, 2208, 568, 28653, 676, 922, 1699, 2157, 267, 543, 676, 519, 2139, 2244, 538, 519, 824, 7121, 543, 538, 1761, 2244, 269, 8409, 10148, 616, 6829, 607, 5021, 2009, 543, 5021, 2139, 3928, 267, 6606, 269, 634, 2095, 1063, 4936, 543, 6348, 268, 4936, 3557, 24540, 568, 28653, 676, 741, 2157, 267, 543, 676, 519, 3448, 5413, 1063, 873, 563, 8201, 476, 272, 2982, 519, 30304, 540, 519, 6006, 7146, 32704, 6516, 269, 8437, 585, 2407, 2450, 4528, 563, 763, 1585, 942, 21635, 912, 347, 11742, 547, 17677, 7276, 1475, 1220, 29757, 1475, 27916, 12230, 21939, 547, 7507, 267, 2436, 3046, 321, 12579, 610, 824, 2829, 2008, 347, 11742, 547, 1230, 20960, 4033, 2276, 1475, 1839, 29757, 1475, 27916, 12230, 4203, 29792, 540, 835, 1533, 676, 1776, 267, 799, 3112, 4755, 782, 693, 2899, 2008, 347, 11742, 585, 7507, 547, 1230, 20960, 15016, 12579, 1475, 7742, 29757, 1475, 27916, 12230, 3046, 321, 12579, 11601, 676, 7507, 267, 799, 3112, 4755, 782, 693, 2899, 2008, 347, 11742, 547, 17677, 6348, 7304, 2674, 2276, 1475, 1220, 29757, 1475, 27916, 12230, 21939, 547, 1875, 7304, 2674, 2829, 267, 2436, 3046, 321, 12579, 610, 7507, 2008, 347, 11742, 585, 1875, 7304, 30689, 547, 1230, 20960, 15016, 12579, 1475, 7742, 29757, 1475, 27916, 12230, 3046, 321, 12579, 11601, 676, 1875, 7304, 2674, 2829, 267, 799, 3112, 4755, 782, 693, 2899, 2008, 347, 11742, 547, 3763, 3557, 15783, 1475, 16020, 29757, 1475, 26473, 1600, 585, 1875, 15581, 2127, 547, 1831, 5732, 2111, 547, 1489, 2829, 17215, 543, 13998, 2008, 763, 1101, 11191, 2196, 568, 513, 15977, 609, 1100, 2242, 538, 2157, 1107, 782, 16369, 2053, 723, 1044, 1305, 3436, 476, 11793, 1296, 454, 31340, 2674, 3557, 24540, 1475, 736, 267, 1822, 11465, 273, 2008, 347, 15239, 7304, 2674, 3557, 24540, 1475, 15996, 267, 1822, 11465, 273, 2008, 19064, 582, 1113, 3557, 24540, 1475, 7742, 267, 1822, 11465, 273, 2008, 347, 15239, 268, 13750, 24540, 1475, 272, 267, 4335, 267, 1822, 11465, 273, 2008, 763, 16857, 6708, 540, 519, 4936, 1533, 267, 922, 9518, 3949, 267, 543, 9271, 616, 2941, 13124, 13006, 538, 519, 15456, 543, 3140, 5638, 269, 634, 1739, 8638, 267, 1247, 711, 29882, 267, 616, 6190, 547, 5815, 519, 4806, 563, 268, 476, 29340, 268, 24062, 7460, 7507, 9518, 619, 8805, 16492, 543, 4678, 1756, 454, 268, 476, 18231, 268, 29045, 7460, 623, 10455, 9071, 545, 2782, 282, 7507, 9518, 619, 3162, 7977, 454, 268, 476, 25784, 268, 24487, 7460, 281, 3689, 15722, 545, 2782, 282, 7507, 9518, 619, 24558, 1176, 267, 590, 731, 27091, 267, 543, 595, 832, 3821, 454, 268, 476, 19442, 7460, 1230, 26810, 540, 595, 529, 531, 18090, 717, 4954, 454, 268, 476, 25908, 268, 1001, 7460, 5822, 15722, 545, 2782, 269, 7507, 9518, 619, 7013, 8050, 454, 268, 476, 12739, 7460, 1230, 26810, 540, 1520, 686, 1738, 26811, 534, 5032, 454, 268, 476, 16409, 7460, 2961, 628, 720, 543, 24765, 517, 630, 10175, 10255, 264, 616, 24509, 539, 454, 268, 476, 15836, 7460, 623, 1120, 17868, 630, 310, 269, 26277, 16288, 264, 581, 4302, 520, 1117, 547, 7507, 454, 268, 476, 13199, 7460, 7507, 9518, 619, 7013, 5333, 454, 268, 476, 8287, 7460, 7507, 29349, 21037, 540, 26277, 16288, 543, 16850, 454, 268, 476, 6812, 268, 2004, 7460, 7507, 9518, 619, 7187, 5333, 454, 268, 476, 1789, 7460, 5527, 24509, 539, 454, 268, 476, 866, 7460, 4936, 21037, 540, 8050, 6192, 454, 268, 476, 1724, 7460, 4936, 20281, 538, 26811, 753, 6905, 547, 519, 8355, 4209, 454, 268, 476, 6246, 268, 10019, 5084, 4936, 21037, 540, 6628, 454, 268, 476, 11793, 5084, 4936, 21037, 540, 667, 29716, 630, 31718, 807, 994, 268, 476, 26604, 5084, 2060, 9526, 531, 689, 667, 29716, 630, 31718, 807, 994, 268, 476, 22550, 5084, 2060, 9526, 531, 689, 16592, 5125, 454, 268, 476, 30156, 5084, 966, 663, 1023, 20630, 8050, 454, 268, 476, 275, 1704, 5084, 6250, 580, 16251, 20630, 589, 10181, 12578, 454, 268, 476, 275, 4375, 5084, 966, 663, 1023, 20630, 715, 269, 4000, 454, 268, 476, 5325, 277, 5084, 744, 560, 5766, 16251, 20630, 7977, 454, 268, 476, 4366, 277, 5084, 2605, 3471, 20630, 717, 4954, 630, 293, 8896, 994, 268, 476, 277, 3607, 268, 5038, 273, 5084, 29240, 20630, 16850, 543, 5527, 454, 268, 476, 6321, 279, 5084, 700, 4861, 1841, 20630, 715, 543, 3844, 7977, 454, 268, 476, 277, 2641, 5084, 6250, 580, 16251, 20630, 590, 8050, 454, 268, 476, 27151, 5084, 10089, 326, 4115, 7115, 538, 774, 15869, 454, 268, 476, 277, 7176, 5084, 29240, 20630, 3345, 4000, 454, 268, 476, 276, 4097, 5084, 26532, 26810, 540, 24558, 1176, 267, 590, 731, 27091, 267, 595, 832, 3821, 267, 715, 4000, 543, 590, 8050, 454, 268, 476, 4649, 275, 5084, 26532, 26810, 540, 7977, 454, 268, 476, 9262, 274, 5084, 26532, 26810, 540, 590, 7977, 454, 268, 476, 280, 4792, 5084, 26532, 26810, 540, 30259, 454, 268, 476, 280, 4792, 5084, 26532, 26810, 540, 4165, 1470, 577, 454, 268, 476, 6200, 279, 5084, 26532, 26810, 540, 774, 15869, 630, 31624, 29333, 3738, 543, 28993, 454, 268, 476, 10441, 276, 5084, 26532, 26810, 540, 18433, 807, 454, 268, 476, 3445, 272, 5084, 29240, 1230, 20960, 24558, 1176, 454, 268, 476, 13040, 272, 5084, 11870, 753, 1230, 20960, 590, 7977, 454, 268, 476, 13040, 272, 5084, 5695, 802, 20630, 9456, 26277, 16288, 454, 268, 476, 14093, 276, 5084, 10089, 326, 4115, 7115, 282, 2530, 540, 30259, 543, 4165, 1470, 577, 454, 268, 476, 6344, 275, 5084, 7671, 880, 21037, 540, 1454, 540, 10255, 543, 32363, 613, 534, 10195, 282, 7276, 8237, 883, 1614, 454, 268, 476, 6344, 275, 1700, 14695, 272, 5084, 7671, 880, 13567, 540, 31862, 454, 268, 476, 15171, 271, 5084, 12228, 30689, 2347, 21037, 540, 26277, 16288, 454, 268, 476, 16328, 277, 5084, 5395, 15487, 21037, 540, 661, 2869, 639, 543, 634, 1087, 3315, 454, 268, 476, 13970, 274, 5084, 12228, 30689, 1491, 31862, 454, 268, 476, 16409, 271, 5084, 12228, 30689, 20630, 2677, 13607, 622, 540, 27190, 571, 454, 268, 476, 16409, 272, 5084, 12228, 30689, 1491, 7066, 321, 714, 1180, 267, 2063, 4936, 856, 14006, 563, 28074, 811, 16609, 547, 4612, 568, 519, 2470, 540, 519, 4395, 4536, 2933, 543, 519, 2470, 540, 4936, 1533, 1852, 269, 589, 561, 1307, 6825, 513, 7997, 267, 711, 606, 3169, 10465, 607, 649, 1631, 1589, 540, 621, 267, 543, 729, 1419, 513, 4155, 585, 3608, 3560, 1134, 3330, 519, 3970, 540, 4108, 543, 2797, 1852, 269, 1306, 1733, 8636, 6033, 3081, 267, 968, 314, 2171, 316, 666, 1294, 875, 538, 27988, 807, 267, 585, 1383, 267, 1082, 540, 519, 9922, 540, 519, 561, 1307, 538, 519, 8772, 2540, 5084, 941, 3274, 3515, 610, 9897, 998, 519, 2352, 10239, 267, 971, 607, 519, 9835, 28763, 2643, 773, 267, 799, 2482, 1134, 547, 519, 5087, 540, 519, 1899, 540, 4108, 1852, 892, 1496, 335, 269, 476, 1220, 4940, 3958, 267, 972, 941, 4050, 3518, 1537, 7817, 2829, 899, 519, 8003, 540, 18548, 1602, 657, 538, 519, 17235, 320, 543, 7013, 12907, 269, 7102, 6482, 540, 1858, 568, 2352, 547, 5635, 936, 942, 267, 543, 3112, 581, 2944, 609, 519, 4110, 540, 8856, 2009, 538, 29678, 563, 26046, 267, 5606, 3720, 543, 20480, 454, 763, 2203, 10063, 806, 519, 14919, 2623, 4767, 1107, 519, 16857, 7648, 538, 519, 4936, 1533, 269, 8616, 621, 12346, 593, 12799, 7150, 7648, 538, 519, 4936, 8013, 5413, 607, 621, 9867, 936, 519, 5553, 269, 21231, 267, 1996, 922, 2038, 9905, 267, 922, 6043, 267, 18094, 267, 543, 9015, 941, 796, 3901, 3481, 269, 769, 519, 15875, 30971, 1485, 922, 4161, 7444, 2799, 607, 922, 12543, 2919, 543, 9862, 538, 4704, 547, 519, 14564, 269, 634, 14564, 2933, 15527, 538, 2490, 267, 543, 585, 513, 1906, 5553, 941, 2111, 547, 2226, 513, 4567, 28943, 1247, 9561, 741, 14345, 585, 3106, 267, 5470, 1107, 543, 3540, 2112, 269, 589, 1246, 5346, 4528, 540, 713, 2203, 1223, 1331, 7648, 1107, 546, 2354, 267, 610, 5309, 9822, 725, 1107, 538, 519, 4936, 5413, 1282, 5718, 2242, 563, 5475, 519, 7262, 3368, 540, 519, 10504, 729, 936, 14725, 676, 16586, 538, 519, 11359, 543, 15795, 5553, 267, 1454, 540, 519, 9456, 3368, 729, 936, 14725, 676, 29240, 543, 23577, 338, 538, 519, 18749, 269, 634, 14087, 1756, 4936, 636, 5555, 9862, 547, 519, 23577, 338, 267, 543, 1256, 547, 513, 14758, 6708, 547, 519, 29240, 267, 3226, 609, 873, 1092, 267, 855, 729, 6038, 3768, 821, 676, 10469, 564, 2103, 543, 5695, 802, 547, 7247, 789, 1185, 1932, 2370, 942, 543, 1932, 1906, 2200, 547, 3082, 563, 2467, 568, 267, 1287, 267, 9645, 4055, 585, 2417, 1382, 607, 547, 1018, 4010, 519, 8013, 5413, 729, 543, 1946, 922, 6384, 941, 607, 789, 941, 269, 7507, 3323, 609, 930, 5383, 602, 5280, 621, 538, 4678, 1756, 267, 519, 7525, 8378, 540, 922, 8129, 267, 31827, 689, 922, 10058, 17044, 10350, 269, 8409, 5383, 5280, 621, 585, 936, 3670, 5553, 269, 1809, 922, 1967, 2813, 1776, 1604, 7357, 267, 606, 1604, 602, 16586, 267, 23577, 338, 267, 29240, 267, 10469, 564, 2103, 267, 543, 547, 513, 14758, 6708, 5695, 802, 2919, 538, 269, 23875, 14543, 899, 1967, 281, 7507, 2813, 519, 3037, 585, 3395, 519, 5452, 540, 922, 1378, 9552, 563, 305, 727, 1185, 513, 8013, 5413, 585, 1082, 5553, 936, 922, 12543, 267, 543, 9450, 547, 519, 7182, 540, 519, 2127, 602, 1223, 1489, 4936, 2486, 17215, 543, 17740, 3320, 269, 2334, 5413, 535, 12184, 538, 519, 15875, 1974, 267, 543, 1185, 20328, 676, 519, 11359, 2540, 5084, 269, 1703, 729, 513, 1713, 25954, 538, 519, 21632, 547, 1605, 22770, 5553, 5084, 1354, 10678, 15587, 538, 519, 6957, 18818, 269, 634, 4898, 568, 1869, 711, 602, 621, 8694, 267, 855, 602, 922, 10678, 729, 865, 1279, 1310, 922, 4098, 269, 634, 16368, 7276, 267, 945, 1034, 5702, 25735, 519, 4936, 7276, 1310, 18005, 10678, 621, 267, 10645, 547, 581, 922, 27402, 281, 1175, 519, 1533, 4984, 1185, 4957, 267, 547, 5771, 267, 1454, 899, 4790, 14932, 1185, 3964, 8567, 607, 519, 1533, 4984, 269, 634, 16368, 1533, 16768, 3670, 5553, 1107, 513, 1279, 942, 267, 855, 1134, 2110, 540, 7507, 779, 8938, 563, 8512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 825, 1247, 711, 4570, 912, 13872, 1038, 579, 19152, 815, 3403, 19629, 333, 8923, 7392, 538, 630, 20911, 12426, 1315, 654, 12426, 1315, 661, 12426, 1315, 10323, 12426, 264, 547, 3643, 547, 1294, 519, 6683, 14826, 15419, 692, 7531, 1038, 952, 579, 19152, 2652, 834, 292, 12426, 257, 610, 579, 19152, 2652, 834, 20911, 12426, 257, 610, 579, 19152, 2652, 834, 310, 12426, 257, 610, 579, 19152, 2652, 834, 10345, 12426, 257, 10778, 27030, 2018, 585, 1535, 538, 11396, 912, 4449, 454, 3546, 952, 1535, 14277, 4067, 19312, 2652, 579, 19152, 912, 4449, 8931, 7386, 3484, 11243, 815, 1535, 14277, 4067, 31116, 4449, 8931, 7386, 585, 1918, 538, 1535, 14277, 698, 3472, 675, 257, 14158, 4449, 13872, 13376, 1820, 6600, 257, 534, 2711, 11305, 1886, 538, 2715, 325, 1301, 11243, 348, 568, 2715, 29434, 348, 5602, 13376, 4570, 815, 6936, 454, 4449, 8931, 1038, 3116, 912, 2018, 1820, 2891, 8253, 513, 4570, 5542, 5225, 7392, 4010, 875, 789, 616, 25250, 1651, 671, 532, 3854, 5602, 2018, 3136, 7531, 3698, 3442, 293, 1301, 2304, 574, 3890, 1384, 825, 4570, 815, 8771, 692, 825, 1247, 711, 4570, 1384, 1038, 579, 19152, 815, 3403, 19629, 333, 8923, 7392, 538, 630, 20911, 12426, 1315, 654, 12426, 1315, 292, 12426, 1315, 10323, 12426, 264, 547, 3643, 547, 1294, 1175, 519, 2831, 14826, 15419, 1038, 952, 579, 19152, 2652, 834, 292, 12426, 257, 610, 579, 19152, 2652, 834, 20911, 12426, 257, 610, 579, 19152, 2652, 834, 310, 12426, 257, 610, 579, 19152, 2652, 834, 10345, 12426, 257, 1384, 2018, 585, 1535, 538, 11396, 1384, 3546, 952, 1535, 14277, 4067, 19312, 2652, 579, 19152, 1384, 7386, 3484, 11243, 815, 1535, 14277, 4067, 257, 6540, 7386, 585, 1918, 538, 1535, 14277, 698, 3472, 675, 257, 14158, 4449, 13872, 13376, 952, 1918, 11203, 834, 8364, 12783, 257, 543, 1918, 11203, 834, 3316, 11446, 257, 543, 1918, 11203, 834, 1952, 956, 257, 543, 1918, 11203, 834, 528, 5190, 257, 543, 1918, 11203, 834, 4897, 2044, 13426, 4449, 27030, 23351, 1820, 6600, 257, 534, 2711, 538, 2715, 325, 1301, 11243, 348, 568, 2715, 29434, 348, 5602, 23351, 4570, 815, 6936, 454, 13376, 3116, 912, 23351, 1820, 2891, 2467, 616, 1100, 2831, 1175, 3132, 5602, 23351, 4570, 815, 6936, 454, 1038, 3116, 912, 2018, 1820, 2891, 8253, 513, 4570, 5542, 5225, 7392, 4010, 875, 789, 616, 25250, 1651, 671, 532, 3854, 5602, 2018, 3136, 7531, 31467, 10843, 20911, 10797, 577, 5366, 293, 1301, 10797, 577, 5366, 293, 1301, 2304, 574, 4590, 0, 5814, 11885, 607, 5286, 5897, 5035, 6843, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 7407, 8029, 1038, 1582, 22183, 284, 7407, 1477, 1038, 1582, 269, 2181, 341, 22561, 1477, 1038, 1582, 12785, 22561, 5897, 5035, 21912, 8266, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 23584, 22561, 1477, 1038, 1582, 269, 754, 22561, 5897, 825, 1219, 7696, 4311, 19885, 1712, 8029, 1038, 952, 1582, 23584, 568, 7183, 6769, 2018, 1582, 23584, 284, 27161, 1477, 2018, 1582, 269, 754, 284, 27161, 1477, 1038, 3116, 6769, 2018, 1582, 269, 754, 12785, 284, 27161, 1477, 2018, 6843, 269, 2181, 341, 284, 1345, 269, 754, 1477, 1038, 1820, 2891, 11966, 23453, 539, 257, 10142, 825, 1219, 29906, 4311, 8029, 1038, 952, 1582, 23584, 568, 7183, 6769, 2018, 1820, 2891, 8266, 2506, 27679, 14744, 1038, 3116, 6769, 2018, 1820, 4311, 23584, 3418, 2018, 1582, 6745, 571, 2091, 4311, 12785, 10142, 961, 284, 299, 22075, 8266, 14052, 961, 27044, 27316, 263, 276, 17903, 961, 27044, 27316, 263, 278, 17903, 961, 6745, 571, 2091, 31476, 0, 5814, 11885, 607, 5286, 692, 21653, 284, 12639, 269, 842, 9272, 2891, 11767, 12025, 540, 519, 5044, 281, 27328, 6783, 284, 12639, 20179, 27110, 263, 272, 267, 1911, 271, 267, 21653, 994, 2745, 263, 6783, 2020, 3698, 23396, 5416, 267, 328, 25814, 2187, 825, 1883, 30381, 5157, 2639, 825, 513, 5157, 24557, 320, 14728, 2639, 825, 513, 14728, 24557, 4486, 692, 1721, 1775, 538, 2039, 4433, 1125, 2187, 825, 585, 795, 538, 2039, 4433, 1125, 2187, 1038, 952, 5044, 5157, 316, 283, 6783, 14728, 14158, 2018, 23396, 263, 6783, 267, 1775, 25814, 994, 2745, 263, 6783, 264, 0, 5814, 11885, 607, 5286, 692, 21653, 284, 12639, 269, 842, 9272, 2891, 11767, 12025, 540, 519, 5044, 281, 27328, 6783, 284, 12639, 20179, 27110, 263, 272, 267, 1911, 271, 267, 21653, 994, 2745, 263, 6783, 2020, 1721, 1775, 538, 2039, 4433, 1125, 2187, 825, 1883, 284, 6783, 5157, 2639, 825, 1820, 9217, 994, 825, 585, 795, 538, 2039, 9217, 264, 11468, 18737, 272, 14158, 1038, 952, 263, 6783, 14728, 316, 285, 4486, 2187, 2018, 5044, 14728, 266, 272, 24557, 6783, 14728, 2639, 2018, 952, 795, 2525, 271, 912, 3546, 5044, 314, 271, 24557, 4486, 454, 1038, 3116, 912, 2018, 5044, 14728, 1341, 476, 272, 316, 815, 1883, 3097, 2018, 2736, 692, 2745, 263, 6783, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5696, 583, 531, 2782, 281, 12280, 543, 2677, 335, 1515, 538, 18491, 1941, 334, 11860, 541, 629, 12112, 2668, 634, 1715, 3840, 8648, 269, 5153, 534, 752, 1068, 269, 21444, 689, 519, 3312, 593, 476, 866, 5239, 476, 1708, 271, 563, 10048, 2313, 752, 25315, 1415, 534, 267, 606, 4056, 538, 18491, 1941, 334, 11860, 541, 629, 12112, 267, 814, 2907, 4503, 835, 540, 1200, 5656, 547, 519, 5208, 281, 519, 5600, 540, 9177, 538, 519, 14629, 9008, 4884, 540, 1744, 2313, 320, 267, 922, 8122, 8854, 267, 513, 4062, 540, 621, 12758, 538, 513, 3529, 2066, 519, 8265, 267, 519, 726, 2313, 2699, 16295, 22862, 538, 7452, 267, 519, 3942, 1225, 1555, 8126, 1194, 8015, 519, 6299, 1076, 563, 268, 9745, 834, 288, 345, 27930, 329, 8643, 6205, 281, 17086, 28958, 1883, 18491, 1941, 334, 11860, 541, 629, 12112, 2749, 2668, 23105, 4964, 269, 476, 279, 5437, 476, 1708, 271, 269, 21444, 689, 519, 3312, 593, 476, 280, 5437, 476, 1708, 271, 269, 8158, 476, 280, 5437, 476, 1708, 271, 563, 268, 9745, 834, 396, 507, 3522, 15671, 18775, 21162, 13953, 2843, 504, 3522, 13077, 16648, 3522, 17153, 30935, 9326, 8563, 4138, 6459, 16068, 10780, 3378, 16021, 16417, 17095, 32648, 4344, 4814, 17201, 9326, 21660, 9686, 28314, 18775, 19757, 21134, 2843, 357, 7846, 20732, 4138, 2668, 681, 289, 298, 630, 514, 6739, 1040, 476, 280, 5437, 476, 1708, 271, 269, 21444, 689, 519, 3312, 593, 476, 280, 5437, 476, 1708, 271, 269, 8158, 476, 280, 5437, 476, 1708, 271, 563, 268, 9745, 2843, 352, 13194, 3264, 6459, 267, 2843, 504, 3522, 8563, 18547, 13194, 4736, 24012, 13953, 269, 834, 396, 494, 4814, 9261, 9326, 4709, 4736, 18547, 9326, 16044, 484, 21268, 7549, 13833, 9841, 30935, 9326, 8563, 4138, 20977, 16068, 16648, 16068, 4736, 7549, 8563, 21268, 4709, 23845, 4138, 11012, 29652, 3378, 13077, 11714, 2843, 357, 7846, 20732, 4138, 2668, 2843, 504, 3522, 8563, 18547, 13194, 4736, 24012, 13953, 2843, 352, 13194, 3264, 6459, 269, 21444, 689, 519, 3312, 593, 476, 1691, 5437, 476, 1708, 271, 269, 8158, 476, 1626, 5437, 476, 1708, 271, 563, 268, 9745, 834, 396, 494, 4814, 9261, 9326, 4709, 4736, 18547, 9326, 16044, 484, 21268, 7549, 13833, 9841, 16068, 16648, 8563, 4138, 17221, 20977, 25602, 13194, 21268, 16648, 3522, 13953, 9686, 21833, 31606, 20500, 3264, 8563, 11714, 16068, 4736, 7549, 8563, 21268, 4709, 23845, 4138, 11012, 29652, 3378, 13077, 11714, 2843, 357, 7846, 20732, 4138, 2668, 2843, 510, 396, 495, 396, 504, 630, 514, 6739, 1040, 476, 1428, 5437, 476, 1708, 271, 269, 21444, 689, 519, 3312, 593, 476, 1626, 5437, 476, 1708, 271, 269, 8158, 476, 1626, 5437, 476, 1708, 271, 563, 268, 9745, 3057, 534, 857, 267, 2441, 2088, 630, 1428, 5412, 476, 1708, 271, 1040, 834, 30265, 523, 2103, 19774, 689, 18491, 1941, 334, 11860, 541, 629, 12112, 4250, 741, 10120, 13039, 786, 581, 10032, 2668, 634, 22062, 566, 269, 21444, 689, 519, 3312, 593, 476, 2420, 5130, 476, 1708, 272, 269, 8158, 476, 2190, 5130, 476, 1708, 272, 563, 268, 9745, 834, 301, 698, 1941, 334, 11860, 541, 629, 12112, 281, 15213, 538, 519, 2622, 476, 1708, 272, 13474, 7797, 2668, 15213, 5600, 269, 8158, 476, 279, 5130, 476, 1708, 273, 563, 268, 9745, 918, 1002, 577, 611, 712, 534, 267, 700, 1421, 594, 269, 14811, 25669, 267, 589, 269, 570, 269, 8055, 269, 476, 1708, 272, 269, 24272, 30510, 11595, 13772, 16424, 7797, 1948, 272, 267, 4873, 476, 1708, 272, 269, 594, 628, 20403, 281, 24272, 30510, 11595, 13772, 454, 268, 9745, 834, 300, 657, 4302, 543, 32446, 538, 631, 600, 599, 8664, 540, 1744, 2313, 320, 941, 642, 663, 531, 1242, 676, 18433, 2103, 910, 11682, 5588, 302, 2668, 7085, 328, 269, 1794, 630, 514, 29494, 329, 8643, 1040, 476, 1839, 5130, 476, 1708, 272, 269, 21444, 689, 519, 3312, 593, 476, 2767, 5130, 476, 1708, 272, 269, 8158, 476, 2767, 5130, 476, 1708, 272, 563, 268, 9745, 9061, 30030, 543, 18366, 281, 8232, 543, 14579, 8889, 538, 519, 24272, 30510, 543, 6239, 5607, 267, 676, 27722, 918, 269, 26450, 338, 577, 910, 476, 1220, 271, 910, 476, 22332, 3817, 267, 533, 269, 476, 29574, 454, 268, 9745, 1325, 12011, 5271, 267, 808, 5674, 327, 684, 630, 276, 5130, 476, 1708, 272, 1040, 834, 288, 345, 27930, 13568, 32141, 2749, 540, 1744, 2313, 320, 1412, 322, 8590, 3854, 262, 2668, 1323, 611, 565, 340, 10837, 269, 21444, 689, 519, 3312, 593, 476, 276, 5130, 476, 1708, 272, 269, 8158, 476, 276, 5130, 476, 1708, 272, 563, 268, 9745, 2037, 9871, 19508, 29953, 27429, 267, 834, 288, 345, 27930, 13568, 9899, 8836, 1272, 21444, 476, 277, 5988, 476, 1708, 272, 693, 519, 10158, 3724, 10724, 267, 6732, 14288, 9990, 267, 476, 1220, 278, 563, 268, 9745, 834, 291, 904, 540, 966, 698, 604, 17826, 1586, 538, 1744, 2313, 320, 1310, 476, 4375, 1296, 2668, 589, 10045, 21158, 269, 476, 4029, 4864, 476, 1708, 272, 269, 8158, 476, 275, 5437, 476, 1708, 272, 563, 268, 9745, 18391, 4724, 1488, 541, 520, 281, 18433, 807, 538, 7073, 3778, 267, 676, 30370, 717, 3419, 528, 6129, 344, 910, 476, 1960, 274, 910, 476, 29579, 3817, 267, 533, 269, 476, 4198, 454, 268, 9745, 589, 11978, 7240, 30657, 8291, 518, 267, 676, 8361, 29158, 910, 476, 1220, 279, 910, 533, 269, 476, 18684, 454, 268, 9745, 513, 536, 31661, 327, 644, 776, 534, 267, 25120, 541, 630, 6245, 276, 1040, 8551, 12112, 630, 514, 29515, 1040, 25234, 340, 281, 834, 288, 2928, 257, 14539, 5600, 269, 6032, 269, 476, 15389, 1700, 15946, 269, 21444, 689, 519, 3312, 593, 476, 2641, 5130, 476, 1708, 272, 269, 8158, 476, 2767, 5130, 476, 1708, 272, 563, 268, 9745, 834, 13312, 665, 3150, 540, 8551, 12112, 540, 519, 29515, 24347, 4301, 5783, 2668, 717, 663, 345, 553, 541, 2593, 269, 21444, 689, 519, 3312, 593, 476, 2764, 2904, 476, 1001, 274, 269, 8158, 476, 1839, 2904, 476, 1001, 274, 563, 268, 9745, 476, 9719, 504, 889, 523, 570, 390, 375, 518, 548, 1889, 5414, 534, 630, 4350, 276, 1040, 15917, 330, 31703, 1990, 327, 26710, 990, 6113, 31703, 586, 1120, 518, 314, 30265, 523, 1014, 12563, 8964, 4940, 962, 699, 7079, 281, 8891, 31703, 670, 7806, 541, 752, 577, 390, 375, 583, 390, 375, 344, 684, 269, 32726, 9448, 476, 277, 2641, 3199, 276, 9834, 269, 21444, 689, 519, 3312, 593, 476, 276, 5239, 476, 1708, 272, 269, 8158, 476, 276, 5239, 476, 1708, 272, 563, 14367, 554, 32528, 540, 1744, 25775, 630, 513, 21993, 18502, 269, 1744, 2313, 320, 264, 568, 538, 10127, 629, 12112, 630, 294, 9618, 629, 27895, 264, 519, 9456, 2865, 3148, 540, 19866, 18433, 807, 563, 268, 9745, 10127, 710, 966, 2335, 630, 1789, 4873, 476, 1001, 278, 1040, 834, 3963, 901, 1290, 1842, 518, 17214, 9253, 3672, 4934, 540, 15142, 1938, 2668, 28834, 630, 32513, 658, 1040, 28834, 18225, 269, 31192, 476, 19740, 278, 268, 278, 3451, 274, 269, 21444, 689, 519, 3312, 593, 476, 276, 5239, 476, 1708, 272, 269, 8158, 476, 276, 5239, 476, 1708, 272, 563, 268, 9745, 8738, 30501, 962, 13799, 671, 13799, 345, 630, 1001, 274, 1040, 834, 17746, 2315, 540, 1412, 20139, 3961, 538, 29515, 2575, 2351, 25086, 1496, 292, 3944, 523, 328, 544, 6686, 17844, 30322, 328, 512, 926, 327, 586, 1794, 13799, 332, 13799, 24229, 1412, 17524, 328, 737, 574, 331, 1731, 262, 330, 4026, 639, 340, 316, 2668, 4750, 540, 5274, 7070, 269, 590, 752, 776, 320, 2160, 269, 476, 1015, 630, 272, 2567, 476, 13923, 275, 1700, 14631, 277, 269, 31192, 476, 25090, 279, 268, 280, 4366, 280, 269, 21444, 689, 519, 3312, 593, 476, 276, 5239, 476, 1708, 272, 269, 8158, 476, 276, 5239, 476, 1708, 272, 563, 268, 9745, 32599, 1156, 631, 330, 4135, 577, 12505, 1496, 514, 29515, 316, 630, 1220, 273, 1040, 7066, 9778, 540, 8551, 12112, 11860, 541, 629, 27895, 269, 962, 699, 7079, 281, 570, 580, 3757, 631, 1115, 14539, 5600, 269, 6032, 269, 476, 274, 1700, 277, 269, 9768, 476, 7818, 15886, 25134, 29045, 279, 269, 21444, 689, 519, 3312, 593, 476, 276, 5239, 476, 1708, 272, 269, 8158, 476, 276, 5239, 476, 1708, 272, 563, 268, 9745, 717, 20891, 528, 6129, 328, 630, 1220, 276, 1040, 7009, 20891, 645, 12112, 577, 4176, 534, 630, 539, 12175, 29515, 8535, 630, 14457, 1040, 3690, 3836, 676, 16299, 3757, 543, 1323, 1695, 527, 29110, 332, 1690, 534, 269, 962, 699, 7079, 281, 7467, 540, 9085, 543, 3203, 269, 6032, 269, 476, 14695, 1700, 12553, 269, 9768, 476, 15886, 1789, 268, 2568, 268, 6795, 268, 274, 269, 21444, 630, 14457, 264, 689, 519, 3312, 593, 476, 276, 5239, 476, 1708, 272, 269, 8158, 476, 276, 5239, 476, 1708, 272, 563, 268, 9745, 834, 6701, 341, 20045, 323, 553, 776, 534, 2668, 16503, 3603, 28315, 540, 9031, 269, 5292, 269, 476, 1704, 269, 10127, 25764, 281, 9031, 670, 14283, 23549, 269, 476, 3422, 276, 269, 6032, 269, 476, 4029, 1700, 3451, 269, 31192, 476, 9826, 280, 268, 28192, 280, 563, 268, 9745, 2037, 9871, 19508, 29953, 27429, 267, 834, 338, 850, 327, 24821, 21444, 476, 278, 5181, 476, 1708, 272, 693, 519, 10158, 3724, 10724, 2580, 6732, 14288, 9990, 267, 476, 1220, 278, 563, 268, 9745, 9294, 19112, 714, 328, 267, 1744, 2378, 27004, 630, 1240, 5437, 476, 1708, 271, 1040, 834, 4537, 2313, 320, 949, 3984, 12395, 9679, 14576, 2552, 652, 2668, 7797, 6176, 10837, 269, 21444, 689, 519, 3312, 593, 476, 1704, 5130, 476, 1708, 272, 269, 8158, 476, 1704, 5130, 476, 1708, 272, 563, 268, 9745, 834, 288, 345, 27930, 13568, 31782, 7041, 585, 10609, 926, 10089, 12712, 13037, 267, 17963, 540, 966, 698, 604, 781, 17826, 538, 1744, 2313, 320, 630, 15771, 5588, 302, 29215, 4139, 5240, 269, 1794, 269, 476, 2641, 5130, 476, 1708, 272, 269, 21444, 689, 519, 3312, 593, 476, 2767, 5130, 476, 1708, 272, 269, 8158, 476, 2767, 5130, 476, 1708, 272, 563, 268, 9745, 834, 257, 396, 357, 7846, 20732, 3522, 257, 11714, 2843, 495, 17201, 9841, 20732, 26281, 29112, 13833, 20046, 4736, 7549, 26281, 2843, 511, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 4138, 2668, 21444, 689, 519, 3312, 593, 476, 280, 4728, 476, 1001, 273, 269, 8158, 476, 276, 4864, 476, 1001, 271, 563, 268, 9745, 513, 536, 524, 546, 8891, 549, 1910, 534, 267, 30960, 630, 1839, 5130, 476, 1708, 272, 1040, 834, 4537, 25775, 781, 631, 13952, 281, 4107, 26888, 3767, 538, 29494, 329, 8643, 24732, 2668, 646, 339, 336, 269, 600, 269, 21444, 689, 519, 3312, 593, 476, 2767, 5130, 476, 1708, 272, 269, 8158, 476, 2767, 5130, 476, 1708, 272, 563, 268, 9745, 834, 288, 345, 27930, 13568, 529, 4894, 18810, 689, 519, 6288, 540, 1744, 25775, 7467, 540, 20963, 8551, 2668, 818, 5443, 12304, 269, 600, 269, 21444, 689, 519, 3312, 593, 476, 1691, 4864, 476, 1708, 272, 269, 8158, 476, 1691, 4864, 476, 1708, 272, 563, 268, 9745, 7711, 290, 14072, 30510, 295, 310, 630, 1724, 4864, 476, 1708, 272, 1040, 834, 25823, 22972, 11052, 2982, 602, 1063, 4989, 476, 1015, 543, 4873, 476, 276, 267, 519, 476, 7906, 18810, 538, 519, 6288, 540, 519, 1744, 25775, 7467, 540, 5685, 2507, 257, 630, 307, 11548, 1040, 8158, 476, 1691, 4864, 476, 1708, 272, 1107, 3842, 12108, 563, 268, 9745, 513, 536, 630, 514, 6739, 264, 24272, 22057, 25038, 630, 396, 504, 3522, 8563, 18547, 13194, 4736, 24012, 13953, 2843, 504, 3522, 6459, 12811, 28027, 4814, 9841, 1070, 476, 6977, 274, 267, 533, 269, 476, 12553, 454, 268, 9745, 513, 536, 2843, 504, 3522, 8563, 18547, 13194, 4736, 24012, 13953, 17095, 3522, 6459, 12811, 28027, 4814, 9841, 21660, 476, 6642, 277, 28314, 19757, 1496, 290, 14072, 22057, 11706, 585, 476, 6642, 277, 316, 630, 514, 6739, 264, 630, 6078, 560, 1196, 12175, 570, 604, 5894, 281, 17785, 690, 571, 25206, 5984, 737, 656, 572, 569, 926, 328, 14717, 15660, 17679, 269, 14255, 918, 822, 330, 10270, 267, 737, 1794, 10154, 2531, 269, 476, 6642, 277, 269, 533, 269, 476, 10219, 269, 21444, 689, 519, 3312, 593, 476, 1626, 5412, 476, 1708, 272, 563, 268, 9745, 513, 536, 834, 20265, 4736, 3264, 6459, 23845, 3264, 21660, 15671, 18775, 21170, 268, 18547, 13077, 16648, 3522, 17153, 4736, 7549, 26281, 476, 16417, 4736, 10528, 7846, 16648, 20434, 24012, 2668, 8940, 269, 996, 7224, 10275, 822, 330, 1794, 8542, 541, 617, 269, 745 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1379, 17446, 1055, 950, 519, 3937, 568, 711, 538, 946, 630, 307, 26394, 543, 23861, 338, 538, 1796, 2421, 7154, 1869, 946, 1896, 26334, 540, 1379, 1916, 265, 13722, 519, 27687, 520, 593, 707, 3905, 1216, 22865, 547, 476, 6344, 5232, 18278, 563, 265, 6875, 2110, 29636, 3079, 540, 31725, 563, 265, 25169, 1152, 2407, 13907, 540, 8286, 543, 9660, 563, 265, 20000, 2283, 4601, 269, 20548, 4809, 6117, 630, 14588, 5338, 267, 4028, 10231, 543, 29584, 264, 22837, 17405, 563, 265, 6733, 585, 519, 13673, 2207, 294, 312, 5254, 2752, 6003, 593, 1753, 14233, 543, 2472, 269, 13673, 2207, 294, 312, 5254, 2752, 2472, 2743, 7453, 4398, 4808, 1305, 676, 519, 2136, 2276, 7025, 10466, 10837, 543, 519, 2136, 2276, 4972, 540, 6052, 563, 21328, 10748, 1746, 9669, 912, 265, 6744, 519, 13471, 2157, 538, 707, 1140, 545, 267, 16538, 543, 25810, 6821, 267, 2781, 559, 902, 267, 19683, 267, 543, 31770, 5624, 563, 265, 6744, 585, 9475, 610, 18015, 1472, 707, 6821, 267, 2781, 559, 902, 267, 9486, 267, 9885, 267, 1769, 543, 21818, 26892, 267, 17176, 267, 543, 5122, 19093, 602, 666, 13451, 2011, 883, 610, 856, 540, 707, 1753, 563, 265, 6744, 585, 1930, 3595, 2897, 14927, 619, 563, 265, 5269, 2386, 707, 14233, 543, 8022, 543, 9023, 1949, 616, 5265, 9738, 269, 6744, 707, 8227, 781, 8261, 585, 519, 5227, 5826, 563, 265, 5530, 707, 1920, 781, 8654, 2115, 543, 946, 3270, 267, 9878, 2027, 3007, 547, 1164, 14025, 2127, 971, 607, 519, 2713, 4055, 267, 10051, 267, 543, 3544, 8654, 269, 6733, 585, 2081, 547, 946, 8654, 8060, 910, 899, 5003, 3599, 8596, 267, 3897, 11302, 267, 610, 4626, 619, 910, 547, 2569, 8654, 1648, 946, 267, 543, 5372, 3044, 1769, 15620, 543, 26892, 609, 11741, 610, 3044, 24638, 22311, 563, 265, 6333, 2188, 971, 607, 707, 2916, 267, 2679, 1374, 267, 543, 6578, 950, 8939, 13471, 681, 268, 11161, 585, 707, 1753, 563, 265, 2422, 2362, 5860, 13471, 267, 971, 607, 14461, 17371, 12545, 267, 538, 26720, 2781, 559, 902, 543, 593, 16538, 6821, 563, 265, 20764, 7976, 4249, 513, 1804, 1909, 538, 3246, 7509, 1852, 543, 4227, 4832, 9023, 12014, 269, 5900, 545, 642, 757, 666, 581, 8704, 2059, 519, 3003, 18109, 13570, 547, 948, 2327, 1697, 25312, 563, 265, 1234, 947, 539, 1769, 26892, 666, 581, 513, 2101, 2707, 540, 3002, 2530, 267, 855, 596, 991, 547, 581, 6297, 875, 2673, 596, 1747, 13471, 1985, 547, 513, 20856, 675, 8259, 621, 568, 6825, 15096, 563, 4322, 4388, 267, 543, 811, 267, 616, 3177, 547, 596, 538, 513, 3677, 7300, 3758, 676, 519, 2475, 4972, 540, 6052, 563, 16665, 16193, 281, 3859, 267, 3859, 1379, 267, 4244, 1648, 267, 7791, 1648, 267, 4492, 1591, 267, 3859, 1648, 267, 2842, 1379, 267, 8652, 1379, 267, 2890, 8652, 267, 3039, 1648, 267, 3859, 8022, 267, 4492, 2281, 267, 8652, 3887, 10431, 267, 2890, 31622, 549, 1379, 267, 2890, 31622, 549, 5201, 267, 3039, 12616, 454, 21837, 570, 1481, 599, 568, 6131, 547, 3246, 1382, 267, 8039, 1299, 5363, 1344, 547, 6800, 543, 4213, 269, 1280, 811, 1344, 1644, 547, 5682, 6052, 543, 20010, 6052, 5225, 3643, 5291, 2517, 13582, 24479, 26020, 3820, 7312, 9137, 9612, 30615, 2433, 4855, 538, 15080, 454, 13146, 4930, 538, 713, 7121, 912, 268, 9891, 5295, 910, 589, 12655, 11905, 2986, 6052, 454, 7712, 942, 3459, 267, 519, 3141, 729, 2938, 607, 513, 2707, 540, 1648, 269, 2672, 29418, 1152, 827, 476, 1015, 260, 540, 3859, 1648, 454, 268, 4208, 2274, 641, 1841, 3657, 29460, 6987, 3307, 454, 4002, 519, 27876, 22153, 4133, 540, 16474, 2692, 538, 519, 2295, 540, 519, 21411, 822, 24546, 18647, 267, 645, 1824, 32272, 267, 972, 616, 15417, 535, 454, 268, 634, 7756, 9877, 338, 2986, 645, 1846, 454, 7197, 16835, 616, 1336, 538, 3636, 4025, 269, 2368, 616, 1360, 9490, 281, 972, 616, 29116, 11954, 267, 1256, 19481, 2676, 268, 1215, 645, 1846, 4855, 4256, 10158, 769, 634, 14730, 454, 10144, 723, 2141, 1044, 7138, 1194, 676, 875, 16835, 1294, 1507, 7786, 538, 519, 4158, 267, 543, 875, 789, 2057, 29424, 514, 454, 268, 1215, 645, 1846, 14970, 454, 289, 1846, 2661, 1927, 538, 23572, 610, 824, 4158, 4025, 1282, 519, 1554, 269, 3807, 1354, 4158, 267, 610, 1354, 519, 3141, 454, 268, 2311, 5851, 2060, 6004, 269, 8738, 893, 338, 454, 312, 1926, 1869, 890, 1229, 856, 693, 803, 538, 19220, 540, 1010, 7715, 940, 602, 577, 540, 3623, 854, 4552, 950, 594, 1101, 1558, 3627, 645, 454, 268, 13937, 674, 1600, 4425, 8814, 5516, 16214, 454, 7476, 6239, 1261, 908, 15147, 1656, 1133, 13388, 2662, 12241, 4359, 8022, 26925, 616, 6325, 267, 693, 930, 1448, 538, 512, 454, 268, 5113, 15080, 910, 3127, 781, 4222, 543, 9541, 538, 17437, 6052, 29714, 454, 24465, 17437, 6052, 29714, 4095, 17437, 6052, 10369, 281, 1323, 5092, 4316, 540, 2475, 259, 4649, 454, 268, 5113, 15080, 910, 6489, 6052, 568, 519, 16595, 3395, 7791, 1648, 5823, 538, 3127, 454, 20360, 6052, 29714, 538, 3127, 3127, 568, 2693, 547, 5352, 3592, 2947, 2053, 811, 2842, 1648, 1698, 454, 268, 5113, 15080, 910, 14313, 2201, 1234, 20608, 8866, 700, 4875, 13340, 525, 454, 2252, 707, 3214, 616, 1631, 538, 1153, 267, 12899, 10833, 616, 1018, 596, 991, 269, 13268, 532, 741, 12899, 1028, 999, 11299, 513, 454, 7197, 9763, 4930, 538, 713, 7121, 912, 268, 634, 24637, 585, 4826, 543, 4826, 17658, 520, 5314, 454, 4002, 7641, 5063, 596, 723, 4095, 27142, 5360, 8724, 602, 9279, 320, 897, 320, 1185, 3710, 513, 4420, 1782, 2030, 538, 555, 454, 268, 9891, 623, 10062, 28691, 454, 5472, 540, 938, 1648, 2501, 689, 519, 3141, 269, 9891, 13324, 8279, 2709, 513, 1970, 1942, 543, 798, 711, 3542, 1393, 519, 552, 454, 268, 6168, 6599, 12935, 5940, 20746, 454, 7437, 519, 1296, 267, 1004, 723, 1044, 1031, 547, 3282, 3902, 554, 10105, 267, 971, 602, 1256, 950, 5777, 4473, 547, 513, 694, 454, 268, 11822, 27718, 31203, 15261, 6255, 719, 27686, 27718, 454, 6701, 596, 8165, 609, 3109, 9044, 543, 621, 8952, 4947, 1394, 286, 2422, 519, 2953, 2409, 585, 9044, 7738, 454, 268, 634, 6355, 540, 30540, 519, 14136, 454, 4002, 513, 2220, 601, 18146, 1554, 1282, 519, 4832, 267, 594, 1572, 1250, 1870, 7649, 7812, 547, 2307, 1946, 646, 2219, 621, 454, 268, 6820, 661, 8862, 4292, 667, 18804, 910, 1215, 6496, 898, 12769, 584, 888, 2691, 1004, 834, 18484, 622, 257, 610, 834, 516, 12860, 257, 11418, 543, 5904, 267, 789, 798, 865, 609, 1434, 15752, 267, 543, 555, 454, 268, 3047, 674, 7037, 3281, 24031, 454, 24618, 674, 7037, 3281, 24031, 27391, 8017, 2429, 519, 2136, 2276, 2154, 7264, 543, 1668, 1149, 454, 268, 589, 23433, 11137, 540, 31803, 2817, 5244, 454, 2691, 621, 2501, 547, 3084, 11614, 267, 621, 568, 2182, 547, 4952, 513, 811, 4583, 835, 982, 31803, 2817, 623, 454, 268, 16440, 519, 14136, 9137, 476, 273, 454, 1607, 568, 519, 2034, 2376, 538, 513, 3126, 602, 12116, 1455, 2777, 3620, 1245, 2472, 267, 875, 741, 3302, 340, 454, 268, 5794, 13281, 769, 634, 9487, 8490, 11780, 454, 8512, 700, 8490, 22769, 476, 1220, 271, 267, 799, 3357, 883, 1198, 593, 476, 277, 628, 4989, 476, 1220, 277, 267, 568, 835, 851, 540, 519, 717, 1478, 0, 30051, 4503, 922, 3979, 10125, 1310, 13431, 296, 269, 4634, 1354, 519, 13303, 1491, 1478, 538, 476, 4350, 274, 267, 1082, 16586, 18796, 519, 2132, 540, 1346, 10125, 267, 513, 3747, 519, 21647, 4628, 6462, 269, 589, 3099, 540, 3906, 15469, 4656, 540, 5125, 779, 5449, 10125, 563, 1103, 476, 3707, 272, 267, 621, 8604, 7357, 10257, 547, 1589, 602, 5125, 1131, 581, 2111, 547, 22919, 1346, 10125, 269, 634, 1032, 1504, 540, 519, 25415, 20616, 18966, 3459, 602, 1032, 676, 17265, 519, 967, 793, 885, 547, 799, 4436, 21152, 1185, 1044, 16271, 267, 25759, 602, 5125, 729, 1631, 538, 513, 2990, 711, 547, 2307, 585, 519, 2132, 540, 922, 10125, 267, 855, 3274, 547, 1491, 873, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9191, 1345, 267, 4487, 17107, 1038, 1582, 269, 28072, 815, 834, 4840, 1038, 1582, 269, 12534, 815, 21642, 309, 541, 4590, 1038, 7406, 5334, 815, 31108, 9852, 2120, 267, 4463, 284, 6110, 267, 8700, 284, 3393, 994, 1038, 7406, 5334, 4877, 871, 263, 2515, 284, 307, 8008, 267, 6445, 284, 289, 30862, 267, 4228, 18989, 994, 1038, 1582, 269, 18782, 815, 28678, 6600, 9347, 5334, 2676, 4449, 19930, 1257, 19702, 762, 284, 1345, 269, 12534, 2676, 4449, 19930, 536, 326, 8782, 326, 9445, 22779, 4449, 19930, 8700, 284, 3393, 2676, 4449, 19930, 536, 323, 284, 736, 2676, 4449, 19930, 7696, 12296, 284, 275, 2676, 4449, 19930, 17854, 8782, 2431, 22779, 4449, 19930, 13944, 284, 3488, 25106, 3299, 476, 1015, 267, 1412, 321, 1245, 29125, 1038, 1582, 269, 18782, 4877, 871, 4590, 1038, 1582, 6745, 815, 7956, 4311, 269, 18782, 267, 4463, 284, 2412, 2020, 1038, 6003, 318, 4486, 815, 22443, 20172, 267, 4463, 284, 1428, 267, 8700, 284, 1789, 267, 536, 323, 284, 1015, 267, 536, 326, 8782, 326, 2001, 2004, 5073, 1038, 6003, 318, 4486, 4877, 871, 263, 2515, 284, 4041, 10499, 267, 6445, 284, 289, 30862, 267, 4228, 18989, 2020, 1038, 6003, 6958, 4486, 815, 22443, 20172, 267, 4463, 284, 1428, 267, 8700, 284, 1428, 267, 536, 326, 8782, 326, 2001, 1839, 5073, 1038, 6003, 6958, 4486, 4877, 871, 6600, 650, 284, 289, 30862, 267, 4228, 18989, 2020, 1038, 6003, 318, 278, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 278, 26942, 21405, 284, 271, 267, 6241, 284, 271, 994, 1038, 7735, 318, 278, 815, 29502, 10857, 8475, 318, 278, 2676, 4449, 16875, 1257, 8782, 278, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 278, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 278, 4877, 871, 10797, 1038, 6003, 318, 279, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 279, 26942, 21405, 284, 271, 267, 6241, 284, 272, 267, 14950, 343, 284, 736, 994, 1038, 7735, 318, 279, 815, 29502, 10857, 8475, 318, 279, 2676, 4449, 16875, 1257, 8782, 279, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 279, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 279, 4877, 871, 10797, 1038, 6003, 318, 280, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 280, 26942, 21405, 284, 271, 267, 6241, 284, 273, 267, 14950, 343, 284, 1015, 994, 1038, 7735, 318, 280, 815, 29502, 10857, 8475, 318, 280, 2676, 4449, 16875, 1257, 8782, 280, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 280, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 280, 4877, 871, 10797, 1038, 6003, 318, 275, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 275, 26942, 21405, 284, 272, 267, 6241, 284, 271, 267, 14950, 343, 284, 1015, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 318, 275, 815, 29502, 10857, 8475, 318, 275, 2676, 4449, 16875, 1257, 8782, 275, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 275, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 275, 4877, 871, 10797, 1038, 6003, 318, 276, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 276, 26942, 21405, 284, 272, 267, 6241, 284, 272, 267, 14950, 343, 284, 1015, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 318, 276, 815, 29502, 10857, 8475, 318, 276, 2676, 4449, 16875, 1257, 8782, 276, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 276, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 276, 4877, 871, 10797, 1038, 6003, 318, 277, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 277, 26942, 21405, 284, 272, 267, 6241, 284, 273, 267, 14950, 343, 284, 1015, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 318, 277, 815, 29502, 10857, 8475, 318, 277, 2676, 4449, 16875, 1257, 8782, 277, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 277, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 277, 4877, 871, 10797, 1038, 6003, 318, 272, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 272, 26942, 21405, 284, 273, 267, 6241, 284, 271, 267, 14950, 343, 284, 1015, 994, 1038, 7735, 318, 272, 815, 29502, 10857, 8475, 318, 272, 2676, 4449, 16875, 1257, 8782, 272, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 272, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 272, 4877, 871, 10797, 1038, 6003, 318, 273, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 273, 26942, 21405, 284, 273, 267, 6241, 284, 272, 267, 14950, 343, 284, 1015, 994, 1038, 7735, 318, 273, 815, 29502, 10857, 8475, 318, 273, 2676, 4449, 16875, 1257, 8782, 273, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 273, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 273, 4877, 871, 10797, 1038, 6003, 318, 274, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 274, 26942, 21405, 284, 273, 267, 6241, 284, 273, 267, 14950, 343, 284, 1015, 994, 1038, 7735, 318, 274, 815, 29502, 10857, 8475, 318, 274, 2676, 4449, 16875, 1257, 8782, 274, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 274, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 274, 4877, 871, 10797, 1038, 6003, 318, 271, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 271, 26942, 21405, 284, 274, 267, 6241, 284, 271, 267, 14950, 343, 284, 1015, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 318, 271, 815, 29502, 10857, 8475, 318, 271, 2676, 4449, 16875, 1257, 8782, 271, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 263, 271, 13211, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 271, 4877, 871, 10797, 1038, 6003, 318, 1372, 857, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 1372, 857, 26942, 21405, 284, 274, 267, 6241, 284, 272, 267, 14950, 343, 284, 1015, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 318, 1372, 857, 815, 29502, 10857, 8475, 318, 1372, 857, 2676, 4449, 17264, 1257, 284, 8339, 22779, 4449, 17264, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 17264, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 3488, 9538, 13211, 4449, 17264, 536, 326, 8782, 18872, 22779, 4449, 17264, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 1372, 857, 4877, 871, 10797, 1038, 6003, 318, 16029, 815, 22443, 10857, 8475, 318, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 16029, 26942, 21405, 284, 274, 267, 6241, 284, 273, 267, 14950, 343, 284, 1015, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 318, 16029, 815, 29502, 10857, 8475, 318, 16029, 2676, 4449, 23526, 1257, 8782, 8782, 2676, 4449, 23526, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 23526, 4971, 284, 1345, 4318, 1998, 10663, 2676, 4449, 23526, 536, 326, 8782, 18872, 22779, 4449, 23526, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 16029, 4877, 871, 10797, 1038, 6003, 318, 290, 815, 22443, 10857, 8475, 6958, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 290, 26942, 21405, 284, 271, 267, 6241, 284, 271, 267, 9587, 3966, 284, 273, 994, 1038, 7735, 318, 290, 815, 29502, 10857, 8475, 318, 290, 2676, 4449, 16875, 1257, 8782, 290, 22779, 4449, 16875, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 4449, 16875, 4463, 284, 272, 2676, 4449, 16875, 8700, 284, 1015, 2676, 4449, 16875, 4971, 284, 1345, 269, 27234, 2676, 4449, 16875, 536, 326, 8782, 18872, 22779, 4449, 16875, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 318, 290, 4877, 871, 263, 2515, 284, 4041, 10499, 994, 1038, 15981, 16932, 5091, 601, 815, 22443, 10857, 8475, 6958, 4486, 267, 536, 326, 815, 262, 18872, 5073, 1038, 6003, 5091, 601, 26942, 21405, 284, 271, 267, 26383, 284, 272, 267, 22496, 344, 284, 292, 994, 1038, 7735, 5091, 601, 815, 29502, 10857, 8475, 5091, 601, 267, 1257, 8782, 23437, 3299, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 30670, 321, 323, 284, 274, 267, 4463, 284, 272, 267, 8700, 284, 274, 267, 12252, 284, 476, 1582, 19709, 8541, 994, 1038, 7735, 5091, 601, 4877, 871, 3890, 18257, 692, 1038, 6003, 5334, 889, 815, 22443, 10857, 8475, 6958, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 5334, 889, 26942, 21405, 284, 272, 267, 6241, 284, 271, 267, 20202, 284, 310, 267, 533, 8014, 284, 1015, 994, 1038, 7735, 5334, 889, 815, 29502, 10857, 8475, 5334, 889, 2676, 23351, 1257, 8782, 268, 22779, 23351, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 23351, 4463, 284, 272, 2676, 23351, 8700, 284, 274, 2676, 23351, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 3488, 268, 262, 13211, 23351, 536, 326, 8782, 18872, 22779, 23351, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 5334, 889, 4877, 871, 263, 2515, 284, 4041, 10499, 2020, 1038, 6003, 8548, 592, 815, 22443, 10857, 8475, 6958, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 8548, 592, 26942, 21405, 284, 272, 267, 6241, 284, 272, 267, 20202, 284, 292, 994, 1038, 7735, 8548, 592, 815, 29502, 10857, 8475, 8548, 592, 2676, 23351, 1257, 8782, 343, 22779, 23351, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 23351, 4463, 284, 272, 2676, 23351, 8700, 284, 274, 2676, 23351, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 3488, 265, 262, 13211, 23351, 536, 326, 8782, 18872, 22779, 23351, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 8548, 592, 4877, 871, 10797, 1038, 6003, 5091, 643, 815, 22443, 10857, 8475, 6958, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 5091, 643, 26942, 21405, 284, 273, 267, 6241, 284, 271, 267, 20202, 284, 310, 994, 1038, 7735, 5091, 643, 815, 29502, 10857, 8475, 5091, 643, 2676, 23351, 1257, 8782, 270, 22779, 23351, 13944, 284, 3488, 295, 10679, 339, 3821, 3299, 1412, 1626, 262, 13211, 23351, 4463, 284, 272, 2676, 23351, 8700, 284, 274, 2676, 23351, 4971, 284, 14433, 281, 1582, 17085, 1157, 318, 31728, 3488, 270, 262, 13211, 23351, 536, 326, 8782, 18872, 22779, 23351, 535, 326, 8782, 1097, 534, 5073, 1038, 7735, 5091, 643, 4877, 871, 10797, 1038, 6003, 318, 5417, 815, 22443, 10857, 8475, 6958, 4486, 267, 536, 326, 8782, 18872, 5073, 1038, 6003, 318, 5417, 26942, 21405, 284, 273, 267, 6241, 284, 272, 267, 20202, 284, 292, 994, 1038, 7735, 318, 5417, 815, 29502, 10857, 8475, 318, 5417, 2676, 23351, 1257, 8782, 22065, 2676, 23351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31693, 519, 27556, 18325, 268, 2784, 2747, 883, 1152, 891, 1079, 3157, 267, 811, 982, 476, 3445, 260, 540, 519, 5982, 568, 6045, 1107, 543, 713, 693, 782, 6594, 6607, 6753, 543, 19367, 269, 634, 2698, 27556, 7523, 12519, 18325, 268, 2784, 2747, 568, 3976, 3812, 3592, 14311, 676, 1079, 6093, 2923, 281, 10053, 267, 4411, 3154, 12269, 543, 519, 6094, 267, 3905, 3154, 1063, 873, 269, 769, 1249, 267, 18325, 268, 2784, 2747, 4947, 689, 519, 12269, 2982, 3592, 519, 1482, 8901, 3892, 607, 519, 8895, 12519, 7452, 12269, 607, 6027, 676, 519, 23851, 9682, 538, 519, 17196, 2039, 563, 763, 18325, 268, 2784, 2747, 6383, 676, 9211, 538, 519, 12357, 18325, 11920, 18616, 1281, 711, 8428, 538, 7990, 689, 519, 6475, 24378, 5982, 689, 519, 8895, 12519, 12210, 269, 901, 5267, 602, 649, 1294, 519, 1482, 1570, 538, 1312, 4025, 281, 3905, 3154, 602, 814, 1044, 23353, 609, 9211, 3001, 3592, 693, 519, 3432, 540, 1769, 676, 31975, 320, 30762, 269, 634, 18325, 1532, 889, 7632, 616, 4061, 3274, 8375, 3905, 3154, 13999, 267, 6028, 519, 8998, 540, 938, 27305, 10158, 563, 1103, 1840, 547, 19586, 1782, 519, 18325, 11920, 18616, 267, 519, 667, 23326, 17269, 2079, 540, 519, 14169, 540, 8895, 12519, 18325, 268, 2784, 2747, 814, 9447, 513, 1297, 540, 824, 3621, 2164, 269, 898, 729, 3254, 602, 519, 4411, 3154, 12269, 602, 616, 25139, 676, 519, 18325, 268, 2784, 2747, 8831, 909, 547, 3677, 15627, 1657, 519, 8895, 12519, 7077, 982, 519, 7452, 12269, 6027, 676, 519, 23851, 9682, 269, 2755, 713, 1223, 723, 1044, 4397, 1813, 547, 519, 2362, 2527, 540, 7452, 5536, 538, 6476, 609, 519, 3154, 5536, 267, 621, 568, 513, 8799, 21533, 540, 519, 28936, 9713, 2953, 1145, 540, 891, 26715, 771, 21827, 540, 519, 30982, 538, 18325, 1769, 269, 5015, 267, 513, 3102, 32562, 540, 1448, 2959, 729, 6383, 543, 22646, 585, 18325, 268, 2784, 2747, 689, 13421, 540, 15270, 1107, 19890, 1510, 1967, 563, 763, 667, 23326, 17269, 5690, 602, 814, 1500, 782, 713, 2009, 568, 1631, 11884, 2139, 543, 786, 538, 519, 2104, 849, 1683, 24666, 2592, 693, 824, 20966, 540, 1769, 269, 667, 23326, 17269, 729, 2919, 676, 3057, 1723, 17286, 580, 1282, 1010, 1175, 10687, 921, 1540, 4387, 622, 609, 4378, 2293, 693, 519, 23160, 342, 12127, 5336, 1314, 574, 559, 2103, 268, 26536, 28059, 28228, 333, 7770, 269, 634, 5690, 729, 6508, 1369, 1344, 2361, 3069, 543, 8045, 1210, 519, 849, 11884, 2139, 715, 9281, 31159, 268, 3301, 585, 10230, 1344, 2361, 3069, 269, 6176, 2361, 3069, 9388, 609, 519, 6128, 540, 9196, 1950, 1239, 5036, 543, 568, 513, 3844, 1445, 540, 519, 1382, 1895, 540, 8776, 22978, 3416, 338, 4802, 693, 519, 7665, 23851, 4659, 585, 8330, 5268, 12695, 563, 11321, 1723, 17286, 580, 267, 4406, 550, 2088, 17261, 320, 267, 715, 1408, 338, 11534, 1069, 2335, 267, 8776, 22978, 589, 269, 2037, 29967, 4802, 454, 763, 9324, 334, 2213, 267, 1546, 935, 341, 9407, 267, 543, 1546, 1260, 12723, 674, 1069, 328, 29339, 11920, 21708, 1107, 1323, 13335, 540, 519, 667, 274, 17269, 23990, 454, 22349, 25348, 1299, 8330, 5268, 12695, 454, 7804, 269, 670, 14128, 648, 670, 7564, 332, 1067, 548, 1923, 7665, 23851, 4659, 585, 8330, 5268, 12695, 267, 717, 31186, 454, 31161, 936, 267, 22795, 281, 12207, 666, 1631, 1711, 554, 860, 2449, 689, 25268, 267, 1932, 454, 2641, 269, 1015, 269, 1001, 277, 1923, 2817, 4659, 540, 11621, 543, 5303, 630, 301, 8780, 994, 23804, 519, 1769, 652, 2706, 1372, 11526, 2468, 32681, 10570, 13540, 454, 736, 269, 1015, 269, 1001, 277, 1923, 634, 8361, 330, 715, 1171, 617, 5371, 345, 753, 7288, 4659, 540, 17437, 8212, 14470, 9142, 540, 7070, 454, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 23490, 4456, 3633, 814, 1831, 519, 3056, 3486, 19458, 585, 14273, 540, 2564, 5663, 269, 634, 4123, 4023, 267, 799, 3217, 1747, 1169, 5437, 543, 568, 1071, 2000, 11343, 547, 32212, 32177, 538, 667, 639, 572, 671, 21807, 267, 814, 1044, 20406, 3395, 936, 519, 2250, 1296, 543, 2982, 602, 2564, 2029, 3788, 513, 6385, 3395, 2344, 563, 1103, 476, 1001, 277, 267, 519, 4745, 533, 822, 559, 542, 676, 519, 10001, 4456, 5843, 974, 9592, 8416, 267, 519, 8605, 10369, 968, 11947, 24289, 585, 6481, 20905, 5608, 786, 581, 4092, 538, 8065, 476, 279, 320, 1586, 543, 786, 2483, 262, 293, 518, 19172, 10431, 262, 2326, 666, 6467, 1063, 1114, 2829, 540, 5122, 26445, 538, 3210, 547, 606, 5007, 3167, 2361, 269, 901, 8112, 1797, 789, 1397, 9153, 585, 1082, 3156, 267, 585, 1383, 538, 5907, 3457, 543, 2780, 3965, 269, 7351, 7542, 19172, 10431, 2326, 616, 3810, 12595, 585, 741, 8143, 543, 3114, 6617, 543, 4028, 6850, 24578, 22817, 6114, 267, 855, 2870, 513, 1570, 602, 568, 27249, 1524, 547, 519, 6263, 7306, 2877, 585, 4066, 899, 13339, 2861, 15373, 832, 630, 31333, 2861, 18328, 5308, 264, 814, 8810, 4101, 563, 3086, 267, 670, 25950, 328, 8342, 752, 889, 334, 543, 1071, 22086, 619, 693, 519, 19519, 4659, 540, 5303, 267, 538, 5698, 609, 3173, 2066, 3567, 267, 723, 5342, 6901, 547, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 2641, 269, 1015, 269, 1001, 277, 1923, 2657, 543, 6925, 454, 2641, 269, 1015, 269, 1001, 277, 1923, 6176, 5303, 454, 2641, 269, 1015, 269, 1001, 277, 1923, 10049, 7070, 0, 9616, 281, 12726, 2630, 949, 2408, 25302, 855, 782, 7222, 2262, 3561, 6119, 2270, 1697, 11249, 2750, 1356, 696, 689, 4828, 912, 2005, 568, 7074, 602, 1053, 581, 6074, 693, 606, 2038, 2085, 543, 602, 1152, 1346, 1053, 609, 513, 3020, 2648, 540, 1565, 543, 2760, 10678, 1391, 585, 1702, 786, 1831, 3020, 15806, 563, 763, 2875, 540, 6138, 1590, 4865, 519, 21644, 540, 10100, 267, 14996, 775, 267, 31536, 542, 543, 3965, 607, 1010, 2067, 13344, 543, 602, 1510, 1697, 2069, 267, 891, 1360, 7907, 949, 1267, 538, 2367, 945, 616, 9833, 607, 19039, 569, 24631, 610, 1244, 571, 1386, 563, 763, 7855, 262, 9021, 2333, 609, 519, 1034, 22064, 8186, 607, 950, 789, 616, 2192, 268, 14445, 730, 267, 789, 723, 6574, 4390, 585, 519, 6574, 10963, 543, 3020, 9409, 269, 17957, 267, 24198, 543, 1010, 524, 1258, 625, 2408, 547, 3494, 602, 1152, 513, 1360, 1906, 2043, 616, 5827, 540, 1620, 6138, 543, 602, 14758, 8186, 723, 1100, 991, 547, 1451, 6138, 607, 789, 616, 711, 607, 5827, 540, 22920, 540, 1434, 610, 9409, 563, 1103, 1250, 6644, 267, 519, 3948, 799, 814, 609, 6365, 519, 1449, 540, 942, 5526, 538, 3883, 10001, 13296, 24198, 5693, 2829, 267, 834, 7474, 519, 4287, 538, 799, 2069, 6238, 513, 812, 267, 786, 3313, 1010, 2104, 1272, 4799, 2005, 2417, 6257, 519, 16495, 540, 2069, 607, 711, 1390, 267, 855, 6190, 547, 519, 3483, 540, 2870, 513, 9120, 3557, 602, 3323, 1134, 267, 5531, 338, 11610, 676, 2298, 2069, 18836, 532, 2178, 1526, 4801, 543, 602, 891, 1434, 1526, 4801, 10114, 3293, 538, 513, 1434, 2069, 16111, 2087, 812, 1175, 607, 3662, 9393, 787, 29596, 10607, 519, 1973, 6050, 540, 824, 2831, 269, 634, 5539, 9788, 2390, 3610, 568, 16854, 2907, 267, 609, 519, 1053, 262, 1360, 2104, 5462, 676, 519, 2298, 540, 741, 2069, 563, 4913, 267, 519, 1523, 602, 1053, 262, 2069, 786, 2965, 2087, 519, 1973, 6050, 540, 812, 568, 9875, 547, 6961, 543, 6157, 811, 11786, 563, 1607, 4998, 3557, 786, 723, 519, 5539, 540, 8159, 585, 799, 2361, 513, 2875, 568, 1655, 14018, 693, 513, 1360, 1762, 2085, 563, 2005, 568, 9415, 602, 998, 1453, 781, 2067, 1404, 741, 15421, 543, 605, 743, 8481, 786, 581, 4362, 267, 855, 519, 2104, 3610, 262, 1909, 538, 1818, 891, 1999, 5209, 568, 711, 4628, 6045, 269, 3883, 966, 6257, 519, 6107, 609, 513, 2648, 540, 1565, 543, 1702, 602, 568, 2760, 13854, 607, 513, 14544, 543, 835, 602, 20247, 10105, 1565, 607, 15877, 519, 1379, 540, 32198, 1018, 568, 1434, 543, 3983, 269, 589, 1390, 4308, 540, 942, 568, 6170, 7234, 519, 4998, 602, 2043, 1058, 20647, 538, 835, 1858, 543, 2760, 7936, 3544, 741, 1858, 540, 6791, 2899, 789, 723, 6913, 6791, 538, 602, 835, 1858, 269, 4014, 713, 1582, 29438, 1746, 23350, 568, 8801, 547, 519, 2470, 540, 519, 2875, 540, 6138, 267, 2094, 24198, 262, 543, 1010, 8593, 3298, 3494, 865, 1906, 2367, 616, 5827, 540, 1620, 6138, 789, 4080, 1100, 7805, 4655, 538, 741, 6788, 602, 782, 1053, 1058, 11441, 585, 15400, 1565, 543, 17543, 3970, 519, 10752, 540, 1082, 563, 1103, 2413, 2053, 267, 649, 723, 519, 5413, 540, 3168, 547, 519, 5449, 8168, 6243, 547, 3313, 2436, 18573, 781, 3872, 4998, 729, 24276, 563, 2467, 568, 513, 1888, 593, 799, 972, 616, 2789, 30137, 12591, 281, 519, 2085, 540, 1565, 543, 7326, 563, 4407, 519, 14544, 568, 4330, 607, 519, 2875, 609, 513, 2760, 10678, 1391, 585, 1565, 267, 972, 616, 1082, 8320, 950, 2085, 568, 4330, 607, 513, 1033, 337, 2939, 610, 606, 6207, 11064, 547, 1565, 1007, 1919, 563, 4913, 267, 538, 3883, 8633, 621, 568, 7074, 602, 16488, 4927, 581, 540, 6190, 2085, 547, 723, 4810, 9409, 543, 723, 519, 2702, 547, 5431, 9409, 267, 1256, 1247, 2348, 5706, 539, 519, 3968, 540, 9409, 538, 741, 1378, 20339, 563, 2005, 568, 17019, 602, 519, 2757, 5107, 540, 2875, 543, 4116, 949, 581, 5828, 593, 741, 9843, 950, 621, 568, 606, 9907, 1268, 1565, 543, 8348, 547, 1451, 689, 2576, 7820, 982, 2933, 563, 763, 1909, 540, 2069, 538, 8159, 513, 2875, 781, 2104, 568, 2417, 8268, 676, 519, 3069, 602, 3668, 540, 2069, 568, 693, 519, 3597, 540, 782, 6710, 543, 6760, 563, 1607, 3948, 267, 1247, 5310, 513, 3787, 3376, 267, 814, 1044, 8810, 2673, 547, 519, 1665, 936, 942, 543, 11363, 519, 4105, 2956, 540, 519, 2078, 1063, 2875, 543, 4116, 563, 763, 4116, 781, 3853, 543, 24500, 1590, 581, 1034, 6986, 547, 3398, 519, 5539, 799, 2501, 609, 519, 2816, 540, 3450, 269, 10251, 267, 713, 568, 849, 513, 30675, 585, 519, 2413, 2259, 540, 1085, 1901, 30559, 908, 519, 2069, 1062, 585, 15970, 14286, 269, 1717, 267, 538, 18573, 781, 6243, 267, 519, 1453, 616, 18928, 3144, 2476, 689, 741, 3237, 607, 519, 3557, 814, 2907, 5462, 2757, 15970, 568, 16283, 543, 17071, 547, 513, 1895, 15970, 1062, 563, 5522, 6737, 269, 630, 11740, 14514, 1040, 634, 6243, 269, 808, 578, 9116, 267, 645, 269, 630, 9558, 4700, 8158, 5988, 476, 1556, 267, 476, 1220, 280, 689, 12590, 4659, 540, 5303, 454, 16158, 3135, 281, 5291, 2517, 5035, 923, 269, 2466, 12975, 270, 5522, 6737, 270, 10517, 3016, 269, 272, 269, 842, 3174, 11258, 314, 11666, 826, 2639, 257, 27645, 1656, 4841, 769, 18573, 781, 257, 630, 1220, 280, 267, 5988, 476, 1428, 264, 8158, 5239, 476, 2641, 267, 476, 1001, 277, 267, 689, 5291, 2517, 4178, 4877, 1653, 16746, 2593, 270, 22967, 270, 974, 18291, 7146 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1158, 593, 513, 8036, 13781, 269, 594, 3494, 649, 991, 547, 13599, 938, 1053, 538, 519, 2547, 2179, 540, 942, 267, 609, 519, 2547, 2179, 540, 7963, 267, 538, 513, 1164, 10862, 2816, 865, 602, 789, 666, 2844, 513, 1920, 269, 3776, 1762, 1004, 616, 538, 7963, 547, 519, 19820, 540, 513, 18265, 9489, 267, 543, 1082, 540, 873, 666, 1406, 1205, 513, 2816, 602, 3413, 3581, 873, 519, 4316, 547, 2628, 1055, 519, 7963, 585, 741, 2069, 543, 693, 519, 1482, 942, 6488, 606, 11807, 6197, 269, 4014, 7194, 1397, 602, 4876, 543, 2930, 6009, 616, 519, 5951, 540, 519, 2104, 267, 1034, 1164, 1153, 20021, 979, 547, 2852, 2864, 982, 4123, 3506, 269, 18520, 3506, 991, 547, 1683, 1344, 3823, 519, 2702, 547, 1205, 513, 2816, 538, 519, 2619, 938, 1053, 1491, 543, 711, 1175, 1445, 593, 519, 1297, 540, 20021, 602, 7390, 2852, 269, 3776, 1762, 1004, 991, 547, 581, 5483, 952, 649, 616, 547, 3247, 713, 7678, 602, 568, 22625, 532, 938, 2486, 3034, 15411, 585, 6355, 693, 16199, 604, 1314, 4400, 3427, 910, 6355, 9142, 8871, 4925, 5441, 543, 19396, 3367, 1465, 454, 10743, 693, 16199, 604, 1314, 4400, 3427, 616, 1565, 1870, 2359, 676, 3257, 267, 4742, 2852, 543, 4876, 4712, 585, 1870, 1644, 23909, 998, 1576, 17008, 538, 519, 8664, 779, 1007, 8187, 13906, 6355, 9142, 269, 4635, 12425, 779, 4876, 543, 2930, 2069, 1982, 540, 1353, 585, 19098, 607, 519, 5748, 585, 922, 6437, 267, 519, 8187, 13906, 6355, 9142, 3413, 3581, 1053, 519, 4316, 547, 2101, 538, 1870, 1282, 741, 21738, 543, 9972, 1296, 540, 1164, 1153, 269, 6092, 17008, 1331, 1079, 2157, 540, 19098, 267, 4985, 547, 6355, 267, 29661, 1222, 267, 14502, 5675, 267, 6355, 4521, 267, 16373, 267, 543, 9786, 8433, 10241, 269, 4841, 616, 2417, 9415, 547, 4019, 1983, 4121, 538, 519, 4928, 676, 13197, 22631, 1222, 543, 18756, 2069, 3255, 609, 2199, 4213, 269, 5441, 5491, 568, 849, 2139, 676, 11264, 519, 2817, 27706, 19396, 543, 14502, 4659, 981, 1282, 519, 9972, 1032, 563, 288, 2565, 5057, 540, 519, 8187, 13906, 6355, 9142, 779, 6437, 568, 513, 1153, 4558, 1572, 968, 763, 9324, 1848, 589, 2875, 2196, 13055, 23032, 538, 851, 676, 11068, 24282, 7813, 540, 20831, 7921, 267, 621, 3413, 3581, 1053, 606, 4316, 547, 1451, 782, 3344, 540, 5883, 513, 1870, 676, 2965, 5883, 513, 1870, 269, 4841, 3442, 519, 25584, 267, 1711, 519, 10229, 267, 2226, 519, 6589, 267, 543, 4196, 519, 5561, 269, 30880, 538, 519, 1164, 1153, 779, 3184, 540, 8892, 6355, 24285, 540, 3013, 630, 293, 289, 6369, 264, 2417, 2591, 1053, 547, 1020, 741, 30372, 607, 3401, 998, 3028, 543, 13781, 2069, 2238, 563, 13480, 4403, 1646, 1239, 18327, 602, 1870, 1644, 6009, 616, 1164, 10862, 23909, 602, 1683, 1920, 24569, 13848, 543, 3970, 1652, 3255, 585, 1967, 269, 634, 16199, 604, 1314, 9351, 3427, 10588, 568, 10583, 547, 1489, 519, 8187, 13906, 6355, 9142, 267, 513, 1982, 602, 5849, 1053, 616, 2852, 543, 4876, 4712, 607, 519, 2104, 1870, 3401, 540, 12425, 563, 300, 20667, 7348, 3427, 10588, 7731, 16505, 9724, 454, 298, 902, 2917, 267, 13698, 1107, 2201, 13628, 267, 5412, 476, 274, 267, 476, 1001, 276, 267, 12200, 267, 5234, 267, 543, 1053, 540, 519, 13738, 7348, 3427, 10588, 9976, 519, 7731, 1299, 19901, 7070, 4303, 12544, 3084, 11812, 602, 1534, 919, 3885, 827, 519, 2956, 540, 8600, 2635, 6980, 543, 968, 323, 1456, 538, 892, 1927, 563, 1103, 606, 4674, 547, 5000, 1053, 543, 741, 3885, 547, 5965, 543, 3548, 513, 2635, 7594, 1927, 693, 1753, 267, 476, 272, 267, 271, 6246, 1053, 267, 5234, 267, 543, 12200, 540, 519, 13738, 7348, 3427, 10588, 538, 1312, 519, 1164, 1153, 543, 519, 10026, 1153, 5656, 3838, 513, 1753, 16654, 14254, 1927, 269, 4841, 538, 519, 16639, 594, 1362, 267, 2059, 609, 4432, 12578, 631, 269, 932, 747, 3120, 267, 667, 9950, 323, 1421, 7731, 543, 19901, 7070, 4116, 282, 7917, 3465, 2917, 543, 2441, 710, 23765, 267, 1164, 1153, 543, 10026, 1153, 21246, 1023, 267, 6606, 282, 8210, 514, 18718, 2917, 267, 5253, 6796, 10615, 282, 667, 10005, 590, 5585, 267, 24468, 585, 693, 16151, 10026, 1053, 282, 543, 8891, 324, 3204, 525, 7288, 267, 1164, 1153, 7172, 4115, 267, 9709, 713, 8664, 17253, 14254, 563, 10743, 543, 4079, 3838, 14254, 1247, 2348, 606, 4316, 547, 1514, 1125, 3544, 540, 519, 2757, 4928, 4259, 269, 1306, 835, 540, 938, 1053, 6376, 539, 267, 968, 1607, 1223, 2760, 723, 5949, 538, 513, 3677, 267, 791, 5966, 1153, 8664, 3034, 1103, 1840, 547, 4687, 14254, 538, 1153, 267, 2043, 941, 9415, 547, 6443, 538, 513, 3084, 5859, 23032, 676, 519, 1977, 5948, 540, 7731, 543, 19901, 7070, 630, 8150, 293, 5425, 1040, 15706, 4951, 741, 1489, 585, 519, 968, 291, 1456, 769, 892, 5859, 676, 22867, 547, 968, 291, 1456, 769, 892, 593, 519, 21191, 293, 5425, 3896, 269, 4256, 7029, 547, 519, 1788, 7902, 593, 606, 7317, 4786, 593, 519, 1357, 3135, 269, 769, 2698, 267, 476, 4792, 277, 2043, 2713, 1369, 519, 13738, 7348, 3427, 10588, 8678, 519, 811, 982, 476, 14096, 267, 17734, 1004, 5001, 538, 22867, 547, 8600, 543, 4189, 513, 2635, 7594, 609, 741, 3885, 593, 5412, 476, 274, 6113, 563, 763, 1977, 5948, 540, 7731, 543, 19901, 7070, 814, 4566, 547, 4183, 519, 13738, 7348, 3427, 10588, 1920, 14254, 1788, 538, 606, 14232, 5859, 547, 5000, 811, 3885, 547, 2671, 2635, 6980, 1927, 563, 4415, 519, 3875, 2640, 547, 3885, 8600, 543, 4687, 6980, 1927, 267, 968, 291, 1456, 769, 892, 538, 1153, 610, 693, 1753, 7125, 3007, 547, 1945, 2241, 602, 3885, 666, 798, 547, 581, 8902, 269, 968, 2171, 616, 10583, 547, 1491, 851, 538, 713, 1271, 11036, 2223, 932, 747, 3120, 1767, 563, 20103, 476, 274, 6113, 729, 6074, 607, 7731, 1299, 19901, 7070, 4303, 547, 8956, 21191, 293, 5425, 674, 10133, 31130, 4210, 9994, 27672, 267, 519, 1101, 4775, 10927, 540, 20037, 563, 3519, 928, 2246, 12706, 338, 6732, 5358, 3245, 519, 16140, 5455, 454, 11900, 728, 513, 1230, 928, 2246, 9351, 18947, 4400, 4928, 609, 513, 1688, 25740, 1129, 593, 519, 7450, 2063, 3018, 267, 1614, 1762, 2021, 2893, 693, 513, 3349, 30528, 1164, 609, 9499, 267, 575, 5074, 883, 519, 15291, 13819, 1354, 873, 269, 7490, 1224, 519, 3377, 1650, 538, 922, 30810, 593, 634, 28927, 6807, 17650, 2317, 3896, 563, 1103, 10281, 564, 1144, 267, 513, 1715, 4804, 7844, 1772, 8058, 532, 15474, 11778, 454, 257, 5331, 513, 4928, 4259, 1141, 782, 1053, 267, 5103, 2085, 3604, 267, 616, 8746, 538, 2933, 543, 9599, 547, 1451, 269, 7316, 1053, 616, 711, 16876, 547, 11008, 1436, 676, 1362, 610, 4081, 9740, 267, 855, 1847, 693, 741, 1378, 10605, 547, 2087, 2390, 1983, 602, 789, 991, 4799, 1607, 568, 1175, 519, 4098, 540, 1776, 1967, 1650, 689, 10281, 564, 1144, 269, 1284, 16436, 596, 547, 1224, 519, 3377, 1650, 689, 2904, 476, 1015, 267, 476, 1001, 278, 267, 538, 922, 30810, 689, 634, 570, 7978, 6807, 670, 14283, 3896, 563, 19913, 340, 2643, 26973, 670, 13273, 910, 25927, 908, 4804, 883, 519, 7464, 2622, 454, 2171, 16436, 596, 547, 4585, 713, 3381, 17157, 11744, 875, 5576, 340, 2643, 26973, 670, 13273, 18922, 1565, 538, 519, 1483, 1158, 563, 295, 531, 604, 1314, 281, 9906, 19793, 22777, 568, 6348, 9539, 1122, 582, 4192, 454, 2171, 16436, 596, 547, 4585, 713, 3381, 17157, 11744, 875, 2875, 9740, 568, 1875, 268, 10864, 582, 4192, 538, 519, 16199, 604, 1314, 1153, 8664, 563, 14582, 548, 325, 517, 974, 3427, 10588, 454, 2171, 16436, 596, 547, 4585, 891, 3381, 24056, 11744, 9656, 1507, 2516, 585, 5059, 1565, 543, 3478, 1053, 4712, 547, 1451, 538, 519, 5617, 548, 325, 517, 974, 9351, 3427, 10588, 563, 16675, 6807, 4841, 8048, 741, 3427, 547, 13815, 454, 2005, 568, 606, 8956, 1152, 476, 31079, 3506, 2066, 519, 2197, 666, 3409, 269, 1656, 835, 540, 1346, 4378, 648, 525, 568, 538, 5682, 6807, 269, 634, 1053, 267, 3610, 267, 543, 16984, 693, 5682, 6807, 28133, 13478, 523, 1640, 4400, 3427, 941, 13166, 4847, 547, 14773, 519, 5728, 13628, 2443, 741, 1153, 568, 513, 2817, 9791, 25906, 2548, 3427, 563, 763, 4013, 6609, 540, 519, 8956, 789, 4607, 568, 713, 281, 634, 2817, 9791, 25906, 2548, 12140, 5358, 17767, 1857, 543, 4357, 10026, 267, 1647, 267, 543, 1164, 3506, 1759, 593, 741, 2949, 4081, 17284, 610, 741, 3356, 538, 14656, 9740, 10616, 1851, 2875, 1016, 25364, 563, 3719, 267, 621, 568, 1454, 811, 982, 1175, 602, 269, 634, 8366, 26549, 1346, 3506, 2443, 1857, 267, 4357, 267, 543, 1612, 5255, 658, 2443, 602, 979, 1657, 543, 3564, 547, 1118, 1565, 4277, 267, 8537, 543, 3811, 563, 5445, 2119, 1007, 3992, 4566, 543, 3292, 267, 4161, 1053, 547, 11441, 585, 1256, 811, 1702, 543, 2203, 1175, 875, 1454, 2069, 6927, 269, 1358, 8007, 2875, 1967, 543, 1489, 1346, 945, 616, 10010, 269, 1656, 267, 789, 1128, 650, 513, 2648, 540, 1565, 602, 1053, 786, 1491, 609, 873, 2429, 741, 2729, 269, 634, 960, 5956, 609, 711, 1152, 1434, 4245, 538, 519, 4928, 267, 855, 849, 609, 519, 1489, 540, 3237, 543, 519, 2146, 563, 3719, 267, 1256, 782, 602, 1281, 711, 1118, 513, 9791, 25906, 2548, 3427, 269, 634, 1053, 693, 5682, 6807, 28133, 13478, 523, 1640, 4400, 616, 519, 3283, 945, 1500, 621, 4755, 269, 1403, 789, 1185, 711, 5249, 2182, 267, 3144, 1565, 12517, 267, 543, 6913, 950, 519, 13365, 941, 1524, 267, 972, 1131, 581, 1776, 2012, 593, 602, 1592, 563, 5445, 1058, 581, 10583, 540, 1018, 789, 723, 12913, 269, 634, 5728, 547, 5355, 1977, 3506, 568, 3206, 856, 540, 519, 4216, 269, 634, 2757, 3631, 267, 519, 2757, 9499, 616, 711, 3257, 519, 2816, 269, 1284, 991, 5647, 269, 1284, 991, 4441, 269, 1284, 991, 2362, 6788, 563, 4517, 267, 1034, 11932, 267, 649, 991, 547, 1451, 689, 1346, 945, 616, 3257, 2069, 1318, 269, 1656, 602, 568, 1018, 649, 723, 538, 5682, 6807, 2443, 513, 2203, 540, 1018, 568, 1373, 2944, 1318, 563, 23558, 547, 3025, 945, 5249, 865, 2182, 547, 7118, 602, 4544, 26781, 269, 26850, 519, 9206, 23217, 269, 0, 763, 12588, 547, 17492, 606, 1557, 568, 513, 4105, 2702, 540, 1169, 13473, 4207, 1367, 454, 9213, 267, 538, 2175, 950, 621, 2501, 547, 2208, 540, 782, 21384, 540, 2528, 568, 606, 6228, 540, 8013, 3318, 602, 6487, 1175, 875, 547, 1118, 946, 540, 2043, 543, 1491, 851, 538, 16268, 4901, 269, 12791, 1565, 519, 4390, 547, 1294, 519, 1808, 3510, 538, 1034, 922, 9758, 3099, 543, 6988, 267, 971, 607, 519, 4390, 547, 1413, 693, 519, 5107, 540, 519, 17837, 269, 1411, 991, 547, 1101, 540, 782, 581, 31796, 1367, 267, 543, 513, 1268, 602, 568, 5963, 31796, 10123, 2115, 547, 4383, 547, 2328, 3362, 543, 2841, 1836, 1175, 875, 547, 2911, 11884, 543, 2841, 1836, 269, 22226, 1646, 568, 7543, 14263, 519, 12588, 547, 1397, 606, 1367, 779, 2093, 543, 4606, 267, 1312, 8231, 958, 607, 1134, 607, 538, 1603, 269, 769, 1840, 267, 1367, 1646, 568, 2731, 513, 13766, 585, 556, 6061, 1514, 543, 2804, 2152, 269, 901, 568, 4010, 1946, 519, 1034, 2629, 4247, 2404, 609, 519, 2413, 2852, 949, 581, 519, 5250, 585, 519, 32705, 2245, 2404, 609, 1268, 269, 634, 4081, 1062, 2882, 3450, 519, 2856, 543, 2866, 540, 21882, 3594, 540, 1114, 11964, 2509, 519, 2556, 1543, 602, 5849, 519, 8108, 540, 519, 16169, 602, 568, 32705, 540, 1153, 18244, 563, 14946, 618, 540, 1915, 568, 7543, 14263, 519, 4390, 547, 17492, 454, 11328, 9146, 1983, 616, 2813, 593, 519, 4493, 540, 519, 2039, 540, 519, 5048, 9135, 1247, 519, 1893, 602, 568, 7222, 267, 519, 5137, 540, 5931, 267, 1210, 883, 2272, 519, 3344, 540, 519, 5048, 3510, 267, 519, 8155, 540, 14335, 6898, 267, 6198, 5498, 332, 4842, 5686, 540, 5048, 269, 898, 779, 849, 7805, 602, 1620, 875, 547, 3132, 3309, 5048, 11964, 568, 711, 2731, 1454, 835, 540, 1896, 1808, 4247, 602, 11129, 547, 581, 6378, 2429, 519, 1250, 2688, 1557, 1646, 540, 713, 32705, 16169, 540, 1153, 18244, 267, 607, 513, 1505, 540, 3384, 519, 5683, 12366, 338, 2404, 609, 519, 1915, 267, 2810, 922, 6457, 267, 17035, 267, 2245, 267, 9750, 5380, 267, 3384, 1582, 3146, 18910, 269, 2073, 4674, 267, 4058, 10453, 585, 2500, 23462, 538, 2528, 269, 769, 1840, 267, 1620, 875, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 3436, 1293, 321, 3116, 6936, 692, 825, 1219, 1039, 10955, 613, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 711, 630, 1345, 3052, 1429, 20572, 6012, 344, 316, 2652, 476, 272, 610, 1582, 3052, 1429, 314, 344, 6012, 343, 316, 2652, 476, 272, 2187, 2018, 1582, 3052, 1429, 20572, 6012, 344, 316, 815, 476, 272, 454, 2018, 1582, 3052, 1429, 314, 344, 6012, 343, 316, 815, 476, 272, 454, 2018, 1582, 269, 2017, 337, 309, 1068, 1182, 6834, 476, 272, 22562, 825, 1219, 4894, 10955, 613, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 711, 630, 1345, 3052, 1429, 20572, 6012, 344, 316, 2652, 476, 271, 610, 1582, 3052, 1429, 314, 344, 6012, 343, 316, 2652, 476, 271, 2187, 2018, 1582, 3052, 1429, 20572, 6012, 344, 316, 815, 476, 271, 454, 2018, 1582, 3052, 1429, 314, 344, 6012, 343, 316, 815, 476, 271, 454, 2018, 1582, 269, 2017, 337, 309, 1068, 1182, 20699, 476, 272, 692, 825, 1219, 1293, 10955, 2471, 4311, 267, 14584, 267, 10272, 281, 536, 944, 264, 9847, 703, 912, 1038, 524, 13700, 815, 476, 272, 454, 1038, 10272, 314, 591, 23753, 316, 815, 6936, 692, 1038, 585, 1775, 538, 2039, 12759, 4311, 3052, 1429, 314, 591, 23753, 8079, 2187, 2018, 952, 711, 10272, 5157, 14158, 3546, 524, 13700, 6834, 1582, 29644, 10955, 2471, 9217, 267, 10272, 994, 1038, 2132, 524, 13700, 692, 825, 1219, 568, 289, 16466, 4311, 267, 1535, 267, 586, 264, 9847, 536, 944, 912, 1038, 10272, 320, 815, 1496, 16178, 316, 2608, 630, 1345, 3052, 1429, 21920, 994, 1038, 1293, 320, 815, 1582, 29644, 10955, 2471, 3287, 267, 10272, 320, 994, 13872, 1038, 1582, 31927, 10955, 613, 3287, 267, 586, 994, 1038, 10272, 321, 815, 1496, 16178, 316, 2608, 630, 1345, 3052, 1429, 21920, 994, 1038, 1293, 321, 815, 1582, 29644, 10955, 2471, 3287, 267, 10272, 321, 994, 13872, 1038, 1582, 14491, 10955, 613, 3287, 267, 586, 994, 1038, 2132, 8771, 952, 1293, 320, 3436, 1293, 321, 3116, 6936, 692, 825, 1219, 4110, 4311, 267, 14622, 281, 1592, 264, 9847, 703, 912, 1038, 524, 13700, 815, 476, 271, 454, 1038, 585, 642, 538, 14622, 281, 3097, 2018, 952, 642, 281, 524, 13700, 23785, 272, 454, 1038, 2132, 524, 13700, 692, 825, 1219, 552, 17526, 305, 719, 324, 4311, 267, 1376, 281, 703, 2187, 1038, 7003, 815, 1582, 3052, 1429, 21920, 692, 1038, 585, 1775, 538, 2039, 4311, 3052, 1429, 21920, 2187, 2018, 952, 1582, 3052, 1429, 314, 11034, 6012, 328, 14158, 3546, 10272, 815, 1496, 16178, 316, 2608, 1582, 3052, 1429, 21920, 454, 3546, 952, 1582, 18994, 289, 16466, 263, 11034, 267, 1775, 2567, 3097, 7386, 7003, 268, 284, 272, 454, 3546, 524, 13700, 815, 1582, 29644, 10955, 2471, 9217, 267, 10272, 994, 3546, 952, 2612, 12759, 268, 551, 337, 264, 10922, 476, 273, 912, 7386, 19523, 14714, 323, 719, 22182, 2891, 24001, 25341, 2715, 4153, 333, 2668, 8971, 263, 11034, 267, 1775, 4917, 7386, 952, 1582, 18994, 289, 16466, 9217, 267, 1376, 2567, 3097, 13376, 7003, 20699, 272, 454, 7386, 1582, 31927, 10955, 613, 9217, 267, 1376, 994, 7386, 1582, 4318, 17526, 305, 719, 324, 9217, 2020, 825, 1219, 552, 17526, 305, 719, 324, 310, 571, 3899, 4311, 2187, 1038, 1820, 2891, 305, 1393, 281, 19515, 1038, 1376, 19723, 23753, 815, 1582, 10947, 9359, 4590, 1038, 1582, 4318, 17526, 305, 719, 324, 263, 11034, 19723, 23753, 2020, 825, 1219, 1820, 30467, 4311, 2187, 1038, 19523, 14714, 323, 719, 22182, 19629, 333, 30467, 281, 1422, 333, 5602, 1038, 585, 1775, 538, 1582, 3052, 1429, 912, 2018, 585, 795, 538, 1775, 912, 3546, 19523, 14714, 323, 719, 22182, 2891, 24001, 834, 269, 8971, 27203, 4917, 2018, 19523, 14714, 323, 719, 22182, 19629, 333, 5602, 1038, 19523, 14714, 323, 719, 22182, 19629, 333, 15419, 825, 1219, 1205, 9359, 4311, 264, 9847, 703, 912, 1038, 585, 7329, 343, 267, 1775, 538, 26246, 4311, 3052, 1429, 2187, 2018, 952, 1582, 6155, 12801, 9217, 264, 4939, 476, 273, 11203, 476, 271, 912, 3546, 2132, 7329, 343, 454, 1038, 2132, 476, 271, 692, 825, 1219, 1376, 4311, 2187, 1038, 952, 1582, 3052, 1429, 21920, 3436, 476, 271, 912, 2018, 1582, 31428, 30467, 4590, 2018, 952, 1582, 18994, 292, 17526, 263, 2567, 1582, 4318, 17526, 305, 719, 324, 310, 571, 3899, 4590, 2018, 3116, 281, 1820, 2891, 289, 4157, 534, 25586, 32405, 1038, 3116, 912, 2018, 1582, 10947, 19152, 10797, 2745, 2891, 292, 17526, 1014, 8641, 12875, 5602, 2745, 2891, 11514, 4740, 4083, 15419, 326, 272, 815, 25586, 305, 719, 324, 263, 275, 267, 6936, 994, 326, 272, 14491, 10955, 613, 263, 271, 267, 476, 272, 994, 326, 272, 14491, 10955, 613, 263, 271, 267, 476, 273, 994, 326, 272, 14491, 10955, 613, 263, 272, 267, 476, 273, 994, 326, 272, 14491, 10955, 613, 263, 273, 267, 476, 274, 994, 326, 272, 269, 11034, 30800, 326, 273, 815, 25586, 305, 719, 324, 263, 274, 267, 6936, 994, 326, 273, 14491, 10955, 613, 263, 271, 267, 476, 272, 994, 326, 273, 14491, 10955, 613, 263, 272, 267, 476, 273, 994, 326, 273, 14491, 10955, 613, 263, 273, 267, 476, 271, 994, 326, 273, 269, 11034, 10797, 326, 274, 815, 25586, 305, 719, 324, 263, 276, 267, 6936, 994, 326, 274, 14491, 10955, 613, 263, 272, 267, 476, 271, 994, 326, 274, 14491, 10955, 613, 263, 271, 267, 476, 273, 994, 326, 274, 14491, 10955, 613, 263, 273, 267, 476, 272, 994, 326, 274, 14491, 10955, 613, 263, 271, 267, 476, 274, 994, 326, 274, 14491, 10955, 613, 263, 274, 267, 476, 275, 994, 326, 274, 14491, 10955, 613, 263, 274, 267, 476, 273, 994, 326, 274, 14491, 10955, 613, 263, 274, 267, 476, 272, 994, 326, 274, 14491, 10955, 613, 263, 273, 267, 476, 275, 994, 326, 274, 269, 11034, 10797, 326, 275, 815, 25586, 305, 719, 324, 263, 276, 267, 6936, 994, 326, 275, 14491, 10955, 613, 263, 271, 267, 272, 994, 326, 275, 14491, 10955, 613, 263, 272, 267, 273, 994, 326, 275, 14491, 10955, 613, 263, 272, 267, 274, 994, 326, 275, 14491, 10955, 613, 263, 272, 267, 275, 994, 326, 275, 14491, 10955, 613, 263, 273, 267, 274, 994, 326, 275, 14491, 10955, 613, 263, 274, 267, 275, 994, 326, 275, 14491, 10955, 613, 263, 275, 267, 272, 994, 326, 275, 269, 11034, 10797, 258, 952, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 258, 672, 25586, 305, 719, 324, 14061, 11034, 3890, 0, 258, 20593, 1206, 3515, 538, 513, 26417, 3758, 883, 13483, 331, 6898, 7531, 12803, 24786, 6889, 290, 281, 270, 5825, 619, 270, 12613, 313, 11305, 1712, 4882, 2217, 318, 7090, 11305, 12364, 2000, 626, 27406, 4840, 16059, 24786, 6889, 290, 281, 270, 5825, 619, 270, 12613, 313, 11305, 1712, 4882, 2217, 318, 7090, 4882, 27942, 14067, 1846, 4732, 27942, 5016, 16059, 18316, 815, 1930, 263, 16059, 24786, 267, 834, 342, 5602, 5976, 1930, 31526, 24786, 2437, 337, 8442, 607, 544, 12803, 912, 825, 585, 4737, 538, 544, 12803, 912, 1038, 1948, 3474, 572, 1142, 1899, 538, 519, 11483, 309, 3758, 607, 513, 4737, 454, 1038, 1948, 18744, 3898, 952, 4737, 568, 711, 513, 1007, 1899, 454, 1038, 952, 21405, 11203, 27719, 333, 257, 2187, 2018, 1948, 1598, 902, 616, 1799, 17014, 267, 2539, 3890, 7024, 513, 1007, 5569, 865, 1820, 21405, 264, 7024, 24240, 5569, 454, 2018, 1007, 23952, 284, 992, 31573, 4590, 2018, 1948, 306, 5902, 519, 3688, 538, 519, 4737, 543, 14816, 3056, 261, 10177, 4979, 16543, 10628, 454, 2018, 3877, 8217, 284, 2908, 23952, 21858, 2891, 2437, 994, 4449, 454, 2018, 1426, 284, 30956, 5661, 8217, 314, 271, 4940, 29328, 4590, 2018, 2597, 284, 30956, 5661, 8217, 314, 272, 4940, 29328, 4590, 2018, 8477, 284, 30956, 5661, 8217, 314, 273, 4940, 29328, 4590, 27030, 2018, 1948, 13483, 331, 3948, 3097, 2018, 1948, 4939, 338, 8719, 609, 2418, 689, 513, 24042, 1310, 4939, 11346, 454, 2018, 13483, 331, 318, 12133, 815, 834, 12133, 883, 1426, 630, 4067, 267, 25988, 318, 7076, 267, 1426, 318, 5632, 1559, 264, 2418, 18011, 260, 338, 12887, 260, 338, 12887, 260, 338, 10807, 257, 4939, 630, 25988, 267, 7076, 267, 5632, 1559, 994, 2018, 1948, 31095, 7696, 13483, 331, 6898, 547, 513, 3758, 454, 2018, 3977, 18316, 22182, 4433, 27942, 318, 12133, 1341, 1412, 315, 333, 5073, 17264, 8528, 332, 12803, 25379, 4590, 16059, 18316, 25379, 3890, 0, 258, 277, 269, 2843, 510, 3264, 3522, 20434, 13194, 13833, 28476, 16044, 482, 7846, 4709, 7549, 30530, 19628, 703, 6958, 15635, 19572, 10780, 23485, 17221, 9261, 3522, 19628, 27569, 7846, 19628, 11012, 6459, 13833, 3378, 15800, 13194, 20413, 3522, 6459, 12811, 9841, 24012, 17153, 2843, 375, 19277, 4138, 4709, 4736, 24012, 17153, 25338, 7846, 7549, 8563, 1477, 258, 15800, 11714, 5284, 371, 8563, 13077, 27569, 3522, 19628, 27569, 7846, 19628, 31128, 15671, 3378, 2843, 370, 3264, 267, 14359, 3378, 11012, 29824, 5284, 379, 25986, 4709, 26281, 10780, 21268, 8563, 26281, 25338, 7846, 7549, 8563, 26281, 269, 2843, 507, 3522, 10528, 23485, 9261, 21268, 267, 1820, 17301, 6958, 15635, 263, 8072, 3667, 685, 4297, 9847, 7956, 23228, 258, 396, 509, 4814, 19757, 17201, 21833, 4138, 31224, 476, 13077, 16648, 30324, 7846, 21660, 9686, 30935, 28027, 17221, 27671, 269, 31560, 29824, 22147, 13077, 9261, 9261, 7846, 18194, 17201, 21833, 20265, 10780, 5284, 379, 3522, 9686, 28476, 11012, 4344, 4814, 30718, 3522, 15800, 13194, 11012, 6459, 13833, 267, 476, 13077, 13194, 9686, 3264, 6459, 12811, 21162, 17153, 29824, 29652, 3264, 6459, 21134, 23228, 258, 2843, 504, 3522, 21833, 9686, 3378, 3264, 11012, 6459, 13833, 3378, 11012, 3378, 13150, 3378, 4138, 4344, 15800, 13194, 2843, 375, 19277, 4138, 4709, 4736, 24012, 17153, 25338, 7846, 7549, 8563, 11714, 14359, 4138, 21833, 4709, 27671, 476, 16417, 15671, 4138, 13150, 16417, 269, 29112, 9686, 3264, 6459, 28476, 11714, 9924, 8563, 19757, 15800, 4736, 17153, 19757, 4709, 26281, 11012, 4344, 4814, 30718, 4138, 267, 14359, 3378, 17095, 3522, 21833, 9686, 3378, 3264, 1477, 258, 11012, 6459, 13833, 3378, 18194, 17201, 21833, 21170, 21660, 10948, 4138, 4709, 28476, 31502, 11012, 30935, 15671, 20977, 8563, 4709, 26281, 25338, 7846, 7549, 8563, 9924, 269, 2843, 507, 3264, 29652, 17153, 19757, 4138, 9261, 3378, 15800, 4736, 10528, 17201, 9841, 13194, 13833, 28476, 21660, 10528, 25986, 31606, 4709, 7846, 19628, 476, 13077, 4709, 3264, 3264, 16044, 482, 7846, 4709, 7549, 30530, 19628, 703, 6958, 15635, 14061, 5897, 3698, 1250, 6958, 15635, 27182, 8029, 825, 1535, 815, 834, 29177, 825, 1535, 6834, 2262, 314, 271, 4940, 21639, 14052, 825, 585, 1775, 538, 2039, 263, 272, 267, 6352, 27182, 1070, 272, 8029, 1038, 952, 2262, 5157, 268, 272, 316, 2652, 834, 834, 6769, 2018, 1535, 6834, 2262, 5157, 4940, 21639, 14052, 1038, 3116, 6769, 2018, 1535, 6834, 2262, 5157, 15947, 825, 2132, 1535, 5897, 6112, 6936, 6769, 825, 530, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 11012, 4344, 4814, 30718, 7846, 15800, 13194, 11012, 6459, 13833, 24893, 3264, 16417, 13194, 29824, 29652, 3264, 6459, 11012, 4344, 4814, 3378, 10948, 21162, 9261, 4138, 25338, 7846, 7549, 27593, 9261, 4138, 2433, 834, 3418, 825, 1820, 2891, 396, 509, 16417, 29652, 13077, 13194, 13833, 31606, 20265, 9326, 11012, 4344, 4814, 30718, 3522, 2433, 14307, 1250, 6958, 15635, 26028, 264, 10142, 0, 5814, 2979, 5897, 2784, 1470, 815, 3403, 3488, 28808, 516, 572, 27089, 1642, 5925, 281, 1412, 10142, 7032, 815, 2979, 32564, 5897, 13607, 16780, 807, 815, 4073, 17301, 263, 2784, 1470, 1070, 476, 274, 10142, 14179, 18210, 815, 476, 275, 270, 274, 2608, 14039, 2608, 1494, 16780, 807, 5897, 2745, 3488, 14976, 2019, 18210, 632, 3288, 1965, 2536, 320, 1965, 281, 3299, 2019, 18210, 3418, 5897, 0, 258, 901, 568, 2870, 519, 834, 27273, 15305, 257, 1599, 267, 799, 786, 2270, 519, 2556, 4632, 267, 3252, 2676, 258, 543, 7954, 4255, 547, 1450, 519, 3593, 547, 3403, 741, 2626, 585, 513, 1630, 18978, 2243, 543, 1287, 454, 258, 723, 602, 2626, 11117, 267, 18886, 607, 2953, 610, 11234, 267, 543, 1287, 3254, 1310, 1142, 1900, 780, 3698, 2706, 15305, 10031, 258, 901, 568, 4367, 1257, 585, 10565, 1198, 563, 13537, 27719, 333, 1607, 568, 513, 1449, 540, 707, 1630, 18978, 1702, 269, 6056, 596, 666, 11360, 621, 286, 23010, 267, 649, 3513, 1265, 856, 26142, 333, 5016, 258, 901, 568, 9591, 519, 2953, 6060, 267, 610, 2953, 270, 4532, 8091, 2626, 12523, 269, 901, 6238, 693, 476, 271, 2676, 258, 543, 609, 1142, 1318, 610, 4636, 2626, 519, 7222, 4756, 4679, 676, 476, 272, 563, 453, 322, 8091, 18045, 815, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30238, 16819, 9194, 12267, 454, 29834, 26040, 26323, 3744, 2161, 519, 5017, 602, 13351, 513, 7077, 538, 1715, 3840, 267, 16550, 621, 883, 519, 23747, 5211, 538, 5130, 267, 941, 27436, 4516, 2520, 3150, 269, 634, 3173, 1767, 789, 8947, 519, 13692, 3788, 689, 519, 3967, 563, 763, 1101, 2079, 540, 519, 1198, 540, 4356, 2242, 593, 4955, 7992, 1178, 345, 619, 563, 288, 1353, 5950, 593, 13723, 4951, 602, 2916, 1689, 786, 3196, 5642, 32734, 776, 5017, 4955, 7992, 547, 2342, 689, 4000, 547, 2845, 3063, 13304, 720, 267, 609, 7654, 14042, 4539, 563, 2467, 814, 1044, 513, 1895, 540, 476, 2412, 6090, 20114, 676, 3744, 602, 2408, 547, 1118, 3345, 3013, 781, 16313, 17984, 8038, 5215, 540, 5195, 5045, 1142, 15489, 563, 2304, 26624, 4274, 3081, 646, 814, 1044, 8572, 547, 3313, 1946, 5215, 540, 575, 1638, 338, 723, 1500, 11882, 781, 14208, 1478, 1763, 969, 7546, 741, 1007, 1753, 269, 13343, 15966, 768, 659, 267, 606, 11882, 10406, 540, 13812, 26624, 19829, 267, 1767, 519, 1297, 540, 575, 1638, 338, 602, 12926, 21078, 693, 519, 13111, 814, 2799, 676, 5215, 713, 1032, 267, 634, 19090, 630, 17764, 1470, 264, 2598, 335, 2255, 1767, 13723, 269, 901, 568, 2731, 267, 2731, 7415, 585, 3844, 11882, 267, 15966, 768, 659, 1767, 540, 519, 8966, 2551, 2333, 563, 2690, 519, 1101, 942, 267, 3744, 723, 1044, 2111, 547, 3950, 513, 6263, 28459, 540, 5152, 18346, 547, 1353, 741, 5993, 4955, 5928, 1063, 3345, 3013, 543, 519, 21050, 923, 563, 288, 1715, 3840, 17055, 3081, 606, 4550, 1922, 790, 1301, 1876, 568, 7303, 1131, 15515, 21962, 689, 11318, 13542, 727, 2520, 3150, 267, 799, 646, 3081, 616, 8949, 950, 11273, 269, 1715, 3840, 17055, 6424, 590, 1181, 1767, 952, 2749, 610, 5800, 16958, 8387, 3459, 5356, 513, 3908, 1297, 540, 2043, 519, 1318, 547, 6968, 1858, 2520, 3150, 267, 646, 454, 23873, 3744, 723, 4362, 602, 519, 2494, 343, 19852, 31662, 1118, 6296, 12882, 11366, 385, 497, 17380, 13569, 5889, 11366, 1282, 741, 476, 1321, 267, 6110, 28902, 9194, 267, 1034, 2693, 547, 3049, 543, 1964, 563, 310, 529, 15898, 7320, 8387, 2161, 15259, 2181, 344, 543, 25041, 2678, 2220, 534, 5095, 723, 16626, 2614, 547, 581, 6569, 689, 519, 1533, 781, 13155, 2249, 1592, 269, 634, 1533, 781, 7849, 8249, 8274, 786, 547, 581, 4280, 547, 4894, 519, 5017, 689, 519, 1592, 3967, 563, 763, 5682, 12877, 326, 3240, 3619, 846, 630, 301, 9116, 777, 639, 5102, 23025, 639, 264, 568, 513, 1507, 829, 4221, 21868, 1336, 538, 7013, 1715, 19892, 543, 7187, 5245, 269, 898, 568, 7361, 17055, 267, 6306, 689, 24980, 1282, 519, 6632, 4005, 269, 634, 7226, 568, 1134, 3543, 730, 1970, 1633, 561, 6210, 976, 543, 824, 8628, 4195, 7297, 563, 763, 4516, 979, 846, 630, 289, 7949, 320, 666, 611, 18424, 1070, 849, 1572, 519, 8225, 3619, 846, 538, 3345, 3013, 267, 12851, 547, 519, 5696, 9017, 12593, 540, 2520, 3150, 269, 901, 12593, 3568, 2249, 609, 7361, 3109, 20034, 720, 267, 23243, 873, 689, 519, 15454, 5775, 518, 2249, 269, 634, 2249, 2012, 267, 666, 611, 18424, 267, 568, 513, 1715, 5824, 2262, 2495, 834, 1993, 4516, 2668, 634, 3109, 2212, 543, 8405, 609, 3043, 834, 577, 13318, 1905, 257, 10646, 713, 979, 846, 689, 782, 4849, 519, 4446, 333, 12386, 979, 846, 267, 855, 519, 8545, 814, 513, 3109, 6089, 543, 15454, 267, 2864, 982, 6960, 880, 267, 1560, 20034, 720, 269, 1703, 2483, 763, 4414, 918, 2254, 630, 9773, 573, 5142, 666, 583, 639, 1070, 610, 918, 2254, 538, 2342, 267, 568, 513, 2249, 540, 6177, 1336, 538, 519, 512, 1495, 571, 543, 11848, 10239, 538, 519, 2484, 5087, 540, 4516, 267, 2342, 543, 6576, 269, 3345, 1977, 5017, 22109, 547, 9381, 2342, 543, 3162, 3013, 267, 1247, 3864, 5017, 22109, 547, 4000, 267, 14466, 7699, 1715, 19892, 267, 5245, 543, 1715, 10215, 269, 901, 2249, 814, 606, 3573, 2039, 543, 513, 1804, 2551, 540, 827, 476, 272, 269, 272, 2929, 2043, 269, 1703, 616, 3670, 28849, 269, 634, 2937, 568, 476, 280, 547, 476, 1015, 269, 1839, 6279, 538, 3259, 609, 606, 476, 1240, 269, 276, 547, 476, 736, 269, 279, 2483, 268, 589, 17375, 8708, 1031, 3330, 513, 4492, 30187, 29137, 547, 2149, 17428, 689, 519, 18723, 269, 0, 299, 18612, 9436, 568, 5833, 676, 27847, 1253, 20746, 540, 5277, 2011, 563, 7336, 657, 687, 723, 7018, 950, 5277, 2011, 17066, 5214, 2339, 563, 23873, 9218, 8847, 585, 5277, 2011, 454, 1515, 602, 814, 1044, 4508, 1030, 1221, 676, 9023, 269, 898, 568, 513, 12779, 4544, 543, 5161, 5631, 540, 5277, 5135, 630, 2692, 4979, 28887, 281, 1107, 9264, 269, 280, 9180, 264, 543, 5277, 9436, 630, 2692, 4979, 28887, 281, 1107, 4198, 269, 278, 9180, 2567, 1031, 538, 519, 2504, 540, 6986, 5135, 267, 9436, 267, 543, 519, 16931, 9362, 267, 543, 607, 513, 14023, 656, 0, 289, 4490, 1055, 15016, 15606, 454, 21270, 4490, 1055, 15016, 15606, 2008, 347, 8512, 540, 519, 1977, 21829, 2782, 2008, 347, 18197, 2276, 1475, 21914, 3256, 540, 4279, 6628, 2008, 347, 8333, 32752, 543, 3401, 2008, 347, 301, 747, 15614, 645, 1497, 722, 510, 1475, 301, 747, 15614, 27673, 2008, 18871, 553, 783, 2906, 543, 9271, 2008, 272, 535, 3419, 622, 3141, 330, 454, 763, 11135, 1055, 15016, 15606, 729, 10692, 538, 4728, 476, 10082, 279, 1282, 519, 1977, 21829, 2782, 269, 2755, 26603, 15659, 513, 18239, 540, 1977, 9635, 538, 519, 4639, 28851, 267, 519, 535, 3419, 622, 2475, 306, 11969, 20462, 729, 16091, 676, 519, 3703, 6928, 6361, 7308, 11060, 670, 5960, 962, 1301, 1926, 269, 634, 1739, 2962, 8507, 538, 3013, 781, 1034, 14427, 17189, 14710, 267, 538, 2474, 540, 1480, 2729, 267, 2394, 519, 29855, 540, 2475, 306, 14151, 538, 476, 3707, 272, 563, 23562, 4868, 32732, 4458, 6040, 18279, 22956, 645, 1497, 729, 538, 4971, 540, 519, 13977, 29350, 3766, 684, 11969, 20462, 693, 519, 942, 267, 2348, 4607, 9753, 689, 3627, 31089, 1578, 547, 2736, 519, 10546, 3625, 1228, 540, 4077, 31760, 267, 3162, 10491, 269, 589, 1804, 1297, 540, 21471, 5443, 1185, 1044, 16290, 972, 267, 865, 1310, 8840, 519, 3625, 1228, 267, 645, 1497, 729, 547, 13743, 5045, 883, 519, 3162, 9533, 269, 9050, 824, 11439, 9635, 10483, 519, 11969, 20462, 538, 713, 5692, 281, 519, 4937, 631, 14115, 4471, 267, 519, 3502, 516, 667, 877, 267, 519, 12876, 1977, 543, 519, 2717, 569, 269, 1717, 267, 1310, 22892, 856, 547, 2743, 519, 3703, 1055, 4077, 31760, 593, 5988, 476, 1691, 267, 519, 10546, 729, 24076, 538, 8289, 865, 519, 1977, 18239, 18188, 585, 519, 4639, 28851, 1141, 645, 1497, 1131, 986, 573, 16450, 269, 2201, 5988, 476, 1626, 267, 519, 18239, 14616, 513, 3703, 6928, 799, 1185, 1044, 10982, 16556, 676, 513, 4357, 518, 543, 593, 4728, 476, 275, 267, 519, 2717, 569, 9676, 513, 1507, 11634, 3019, 518, 799, 729, 3773, 547, 519, 18239, 607, 513, 13035, 269, 8422, 2395, 1310, 602, 267, 693, 827, 476, 276, 281, 1789, 10681, 267, 593, 4728, 476, 278, 267, 476, 10082, 279, 267, 519, 4892, 941, 22892, 1055, 519, 9456, 5032, 540, 15016, 15606, 950, 1413, 8083, 19481, 513, 1804, 6928, 547, 519, 2842, 1189, 269, 18279, 645, 1497, 10924, 519, 6077, 547, 581, 513, 812, 27984, 21351, 865, 646, 9859, 1034, 540, 1010, 9635, 547, 3136, 593, 1247, 646, 7283, 3297, 547, 4497, 609, 519, 11969, 20462, 543, 519, 29933, 3766, 684, 6928, 4937, 631, 14115, 4471, 563, 763, 10546, 6928, 5828, 856, 547, 581, 519, 24239, 21144, 3766, 684, 670, 5960, 962, 1301, 1926, 896, 519, 4971, 540, 18279, 22956, 27673, 269, 2991, 513, 1906, 3108, 540, 23603, 532, 267, 519, 6278, 3459, 693, 827, 476, 280, 281, 876, 10681, 950, 519, 4892, 6659, 741, 4778, 543, 8118, 3595, 593, 519, 962, 1301, 1926, 609, 513, 3376, 2515, 269, 634, 3703, 15527, 609, 835, 540, 741, 1378, 543, 585, 8938, 3764, 513, 26481, 6370, 986, 3022, 269, 18279, 645, 1497, 729, 20754, 2038, 593, 538, 519, 2962, 855, 646, 4797, 547, 4339, 585, 513, 1906, 3764, 282, 519, 15833, 602, 20754, 1864, 616, 2219, 547, 723, 2097, 689, 519, 4937, 631, 14115, 4471, 267, 799, 18417, 13351, 519, 11969, 20462, 269, 634, 4892, 8604, 547, 581, 593, 519, 2357, 613, 540, 11802, 950, 513, 8141, 9411, 519, 11969, 20462, 1412, 338, 8869, 12139, 267, 4929, 513, 1804, 16411, 799, 4625, 10032, 519, 535, 3419, 622, 538, 606, 8216, 269, 2475, 306, 11969, 20462, 1287, 521, 1678, 609, 513, 2530, 540, 476, 22145, 2367, 282, 1152, 2185, 1866, 15068, 543, 18279, 645, 1497, 5747, 4557, 2395, 2663, 689, 1010, 16398, 269, 4340, 547, 18279, 8065, 540, 519, 3502, 516, 667, 877, 267, 645, 1497, 543, 1010, 2367, 8185, 8697, 519, 962, 1301, 1926, 1369, 12964, 547, 19939, 3764, 1247, 519, 1977, 9635, 941, 1869, 6140, 21379, 28534, 269, 634, 962, 1301, 1926, 4503, 1200, 536, 3298, 335, 761, 543, 1200, 1283, 332, 6814, 267, 513, 6712, 540, 799, 8593, 1524, 543, 8697, 519, 31997, 269, 6271, 6712, 540, 519, 1283, 332, 6814, 8593, 883, 519, 1283, 3766, 718, 656, 521, 5661, 543, 1287, 5196, 519, 1698, 269, 12866, 3703, 25501, 941, 7166, 543, 1776, 12964, 2367, 4607, 16398, 563, 5475, 29855, 519, 11969, 20462, 267, 18279, 27673, 6836, 547, 979, 1310, 519, 824, 1977, 9635, 855, 789, 24797, 538, 5094, 2081, 269, 28100, 547, 519, 962, 1301, 1926, 1412, 338, 13743, 849, 5795, 519, 4892, 519, 5413, 547, 17277, 2476, 269, 634, 2185, 17005, 4892, 941, 711, 9676, 1318, 2476, 855, 2947, 2395, 2663, 282, 670, 5960, 962, 1301, 1926, 3357, 2066, 873, 593, 4728, 476, 1321, 1247, 1352, 729, 31743, 513, 6928, 7178, 269, 634, 2185, 941, 804, 15781, 547, 930, 20739, 1188, 720, 543, 1185, 15068, 676, 647, 9535, 4764, 1216, 856, 540, 513, 24120, 269, 634, 2669, 540, 18279, 645, 1497, 729, 2808, 513, 4049, 9514, 547, 519, 25550, 13108, 282, 1134, 15197, 267, 645, 1497, 729, 9833, 607, 513, 3318, 13743, 528, 543, 513, 2178, 6205, 563, 4002, 519, 12280, 540, 18279, 22956, 645, 1497, 454, 20062, 2969, 11397, 555, 1495, 619, 14906, 519, 22839, 2676, 1432, 12269, 540, 8673, 538, 12531, 4473, 2676, 1432, 1797, 713, 23487, 995, 887, 541, 2336, 3674, 689, 1010, 3490, 26751, 12320, 3780, 16207, 2676, 3674, 6607, 2389, 9953, 25304, 512, 14217, 1524, 2676, 7775, 18264, 3534, 781, 1582, 1100, 811, 2336, 4537, 1442, 1310, 8710, 8731, 906, 1250, 1274, 3248, 4517, 3138, 256, 1079, 20935, 9635, 2408, 2676, 16446, 1769, 11789, 5180, 873, 16657, 912, 763, 962, 1301, 1926, 19646, 540, 24239, 21144, 2676, 763, 11969, 20462, 13977, 26690, 1765, 7224, 811, 734, 454, 4517, 786, 1352, 4339, 713, 535, 4141, 2336, 763, 11969, 20462, 4166, 593, 853, 344, 15001, 12535, 454, 4537, 718, 5032, 2059, 519, 2244, 540, 9909, 2676, 763, 10195, 540, 519, 4666, 2336, 3719, 12556, 267, 602, 2694, 873, 593, 519, 2620, 2676, 4537, 718, 4688, 519, 2826, 517, 267, 1869, 547, 649, 788, 454, 14367, 3504, 26549, 19679, 563, 306, 599, 267, 945, 12981, 602, 771, 7356, 1025, 10270, 2676, 8489, 586, 16093, 5182, 787, 6908, 518, 4249, 3248, 9989, 9370, 609, 808, 913, 4497, 2336, 31415, 529, 645, 1497, 12209, 1346, 14220, 11642, 3248, 289, 1497, 267, 4171, 536, 657, 558, 808, 913, 26182, 454, 4415, 811, 982, 6180, 531, 30270, 563, 307, 8145, 754, 748, 8755, 256, 543, 554, 1046, 267, 519, 3440, 454, 7804, 1161, 998, 2025, 962, 1301, 1926, 267, 26428, 543, 782, 3248, 15463, 2909, 4034, 14930, 1163, 790, 3248, 12441, 9370, 5128, 1935, 865, 562, 662, 2676, 10214, 9370, 267, 1510, 771, 6588, 576, 267, 1522, 8038, 454, 763, 11969, 20462, 781, 535, 1512, 1356, 3595, 563, 763, 2826, 517, 5784, 1010, 22600, 1194, 12284, 3248, 257, 4517, 4927, 649, 10880, 547, 774, 8812, 6874, 6851, 4840, 22829, 4660, 670, 10725, 267, 26911, 609, 575, 648, 11850, 257, 4537, 718, 6628, 781, 9206, 547, 891, 13956, 734, 454, 305, 1047, 267, 543, 519, 32219, 4655, 1439, 2676, 19322, 976, 267, 594, 2307, 1100, 811, 30882, 3891, 12038, 9789, 344, 9901, 741, 666, 12061, 5180, 2676, 26139, 519, 29256, 539, 30723, 759, 895, 2676, 763, 11969, 20462, 16004, 621, 782, 2676, 10190, 6378, 1200, 11329, 28994, 976, 3020, 734, 454, 288, 3118, 519, 7938, 1752, 344, 642, 3188, 766, 24363, 3248, 19322, 664, 267, 519, 21847, 2887, 563, 763, 962 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14025, 15229, 3248, 265, 12124, 4058, 4485, 10704, 1472, 3802, 1464, 267, 2527, 18302, 10333, 267, 543, 3039, 5624, 780, 10376, 540, 891, 7835, 13976, 2390, 4245, 4121, 2429, 1686, 267, 17923, 519, 10206, 602, 13455, 3356, 3340, 6024, 26126, 267, 9542, 267, 543, 5698, 2066, 10459, 543, 9922, 780, 6962, 454, 29603, 8269, 22162, 593, 4516, 781, 2022, 268, 18183, 539, 3130, 1995, 8761, 519, 1950, 16799, 1063, 2804, 6650, 2510, 543, 2825, 9270, 269, 2755, 8825, 4507, 899, 519, 2817, 8889, 5280, 27513, 4853, 2208, 267, 789, 849, 1266, 25311, 26516, 4539, 17672, 547, 8733, 1072, 269, 11048, 267, 3140, 9551, 757, 5031, 519, 1761, 585, 2318, 7004, 950, 7239, 5431, 519, 23473, 540, 11028, 4290, 532, 12721, 4690, 543, 1902, 538, 16268, 19929, 1472, 3838, 3853, 269, 1635, 16107, 1702, 19017, 936, 5481, 543, 19713, 5969, 12967, 10124, 267, 649, 666, 11441, 4724, 513, 2104, 6353, 676, 10103, 1063, 2804, 21755, 543, 2825, 5539, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5425, 288, 6828, 267, 513, 3056, 2518, 8502, 540, 4441, 1646, 543, 4152, 543, 13995, 2533, 267, 543, 4516, 5682, 8490, 7027, 267, 513, 3084, 3919, 540, 2872, 3401, 14027, 3039, 2679, 543, 4264, 1646, 2853, 538, 4516, 2094, 476, 1220, 273, 267, 9307, 2221, 606, 19710, 547, 1489, 19845, 3633, 10378, 642, 275, 543, 595, 6347, 6828, 779, 7025, 8605, 16672, 630, 7968, 291, 264, 1982, 563, 2108, 4041, 3633, 642, 275, 568, 3810, 17191, 543, 2882, 2242, 602, 2154, 3791, 5428, 19027, 540, 5656, 543, 2679, 2326, 607, 1134, 607, 811, 11413, 593, 519, 2825, 1764, 540, 2472, 543, 1949, 602, 979, 883, 513, 2679, 2223, 1767, 12844, 22448, 14986, 267, 5518, 267, 11621, 267, 595, 6347, 6828, 269, 968, 5425, 288, 6828, 568, 513, 6205, 538, 3384, 3435, 602, 4434, 6940, 543, 519, 1604, 267, 543, 649, 616, 9599, 547, 960, 609, 6970, 294, 6195, 547, 948, 1683, 2069, 543, 1489, 547, 891, 1271, 3292, 3034, 30395, 902, 5352, 936, 835, 3791, 540, 782, 8511, 9362, 267, 3565, 606, 3160, 2179, 540, 3653, 547, 26071, 998, 4070, 543, 632, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 3778, 1315, 4516, 1315, 5403, 268, 18183, 539, 3130, 630, 5908, 278, 268, 264, 1315, 634, 2817, 8889, 543, 11633, 1436, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 24622, 6737, 845, 12580, 543, 19837, 1539, 894, 14740, 13081, 692, 7072, 912, 5331, 24971, 909, 835, 1554, 609, 513, 1928, 538, 707, 7181, 602, 3085, 1405, 979, 2476, 1100, 2339, 875, 1454, 596, 1964, 610, 1491, 4915, 269, 1411, 1522, 1589, 1945, 3978, 568, 4636, 609, 596, 256, 1809, 3006, 267, 938, 8186, 666, 1404, 15361, 593, 721, 267, 1818, 721, 1745, 2168, 2589, 1256, 950, 972, 781, 4986, 9308, 4636, 269, 901, 7613, 568, 1572, 1474, 6737, 845, 2589, 269, 4653, 649, 786, 1451, 827, 713, 4241, 1523, 543, 2263, 922, 4276, 547, 513, 4524, 1634, 607, 19837, 1539, 894, 14740, 13081, 630, 291, 2839, 1070, 799, 5540, 875, 1004, 9305, 547, 741, 1378, 4555, 267, 8823, 267, 543, 4606, 780, 4089, 476, 272, 281, 1548, 616, 24622, 6737, 845, 12580, 888, 5970, 596, 2479, 5433, 865, 14129, 602, 621, 5795, 596, 513, 15677, 610, 1500, 707, 7181, 10413, 286, 2334, 781, 1317, 4664, 666, 723, 3532, 2360, 593, 938, 4703, 269, 3767, 4952, 4743, 1346, 17915, 7683, 267, 5103, 7189, 6031, 596, 2811, 2635, 269, 1280, 930, 2043, 267, 7920, 3929, 11605, 28107, 3294, 998, 10770, 15629, 20286, 899, 891, 1107, 713, 2783, 568, 1634, 607, 1474, 6737, 845, 2589, 269, 898, 3884, 1405, 535, 8898, 282, 2864, 267, 621, 781, 1419, 3361, 676, 2566, 267, 4160, 267, 4965, 267, 610, 15779, 2833, 780, 7078, 5384, 2336, 25603, 5981, 269, 1358, 1205, 4049, 7181, 2851, 4749, 855, 2564, 4255, 1397, 4986, 568, 1199, 1227, 4636, 269, 1452, 24074, 3323, 1310, 789, 14754, 513, 32049, 2680, 2063, 1032, 269, 4256, 1560, 20475, 519, 4250, 543, 5855, 24323, 2094, 6158, 827, 519, 10071, 3123, 3665, 9636, 269, 4935, 267, 5981, 814, 1474, 6737, 845, 2589, 780, 4089, 476, 273, 281, 28038, 19837, 1539, 894, 14740, 13081, 630, 291, 2839, 994, 3086, 1577, 781, 4685, 4514, 883, 1620, 1946, 1978, 2621, 949, 2014, 971, 6547, 269, 6884, 267, 950, 1004, 1995, 5393, 1253, 7675, 3871, 267, 2523, 1282, 6689, 267, 789, 1020, 4744, 1539, 894, 4713, 899, 667, 2839, 269, 4658, 2713, 609, 667, 2839, 1522, 4159, 1079, 610, 811, 3982, 9163, 610, 14789, 267, 1142, 5732, 9013, 2623, 269, 15350, 10616, 849, 2049, 267, 1141, 1344, 827, 4948, 2621, 610, 2250, 18162, 1055, 1063, 9163, 780, 299, 9722, 8791, 476, 272, 1299, 476, 273, 912, 3383, 267, 875, 1281, 782, 713, 17063, 1394, 547, 1474, 6737, 845, 2589, 286, 4270, 267, 1382, 5267, 602, 1082, 2043, 8995, 609, 667, 2839, 1867, 2348, 4810, 1585, 3029, 540, 6057, 267, 10714, 267, 610, 824, 911, 30864, 269, 9182, 267, 789, 1223, 1020, 1474, 6737, 845, 2589, 1813, 547, 519, 11566, 5626, 1764, 540, 891, 2833, 269, 1635, 1732, 26762, 1312, 2175, 267, 649, 666, 2744, 4030, 883, 1480, 6043, 8015, 14488, 780, 12244, 5384, 2336, 19352, 513, 2247, 4786, 8220, 1114, 3344, 540, 1474, 6737, 845, 2589, 267, 2566, 267, 4160, 267, 8194, 267, 543, 667, 2839, 269, 6056, 827, 875, 789, 1921, 543, 3310, 1142, 824, 269, 5457, 267, 2790, 1072, 4656, 2337, 2736, 16663, 543, 7512, 6568, 1851, 9905, 780, 6962, 912, 8139, 1950, 3584, 899, 1474, 6737, 845, 2589, 543, 667, 2839, 666, 948, 721, 5660, 519, 6946, 2078, 1063, 938, 12058, 267, 4703, 267, 543, 4664, 269, 10076, 1072, 2152, 1810, 1405, 5581, 945, 649, 616, 855, 3565, 547, 938, 2189, 2984, 269, 1306, 2104, 3401, 543, 17519, 3425, 267, 6616, 827, 891, 5396, 2636, 721, 547, 1489, 2828, 267, 1920, 267, 610, 4896, 10010, 3623, 1836, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 13198, 857, 523, 13983, 2314, 454, 32637, 267, 2904, 476, 5400, 267, 476, 1001, 276, 267, 1617, 574, 11669, 18311, 24607, 1514, 924, 267, 717, 580, 328, 16888, 267, 729, 30992, 547, 476, 1240, 1296, 538, 7890, 585, 519, 544, 753, 331, 5922, 540, 1200, 5216, 4458, 2025, 26144, 5067, 267, 7225, 324, 7812, 19257, 571, 269, 16888, 2760, 17792, 602, 1352, 1185, 5497, 547, 6146, 1200, 1126, 676, 1259, 540, 7142, 10788, 30072, 2947, 1296, 3105, 538, 513, 1715, 3840, 4975, 15678, 269, 1677, 1200, 30223, 2247, 267, 519, 7142, 10788, 30072, 729, 513, 968, 1067, 1097, 11318, 5608, 8497, 519, 1126, 689, 519, 17149, 3520, 5558, 646, 729, 547, 7985, 693, 519, 3946, 540, 606, 31305, 267, 2943, 9631, 30876, 6974, 267, 9045, 23307, 1381, 24242, 269, 2782, 940, 4191, 540, 16888, 779, 5906, 1533, 6361, 2173, 785, 1185, 1044, 2312, 585, 1296, 269, 16888, 6829, 7184, 31510, 1355, 267, 19450, 12194, 602, 519, 1381, 729, 8362, 9477, 1200, 1169, 2534, 1247, 678, 527, 1302, 705, 6748, 7225, 324, 883, 513, 1533, 540, 8194, 14001, 5042, 9659, 630, 515, 729, 267, 538, 1249, 267, 16094, 26144, 1916, 6624, 20402, 1018, 267, 952, 4376, 267, 729, 3020, 538, 16888, 779, 19035, 267, 1642, 639, 1308, 31482, 269, 1717, 267, 1906, 20402, 519, 16169, 540, 519, 16293, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 558, 6737, 845, 12580, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 19837, 1539, 894, 14740, 13081, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 7008, 540, 3275, 3516, 267, 594, 1336, 8885, 29957, 998, 29673, 781, 2038, 1569, 3756, 3296, 267, 3168, 585, 1250, 1985, 7045, 269, 2334, 781, 950, 594, 16686, 2066, 834, 29272, 659, 569, 8243, 281, 14730, 17963, 589, 3650, 2437, 513, 2022, 268, 777, 32565, 6668, 3014, 4904, 609, 681, 22333, 2609, 543, 910, 7227, 585, 621, 910, 8628, 2669, 269, 2271, 29098, 267, 594, 4956, 547, 2285, 621, 513, 979, 543, 4166, 2968, 851, 540, 513, 13395, 855, 13730, 2228, 2146, 780, 3080, 1554, 267, 1247, 19855, 519, 15473, 267, 594, 3357, 2066, 606, 25981, 2689, 689, 513, 8284, 6345, 945, 5795, 519, 3014, 513, 3501, 6060, 269, 3371, 781, 1018, 789, 1767, 1384, 265, 257, 8649, 5074, 256, 594, 2648, 621, 256, 1924, 1082, 681, 22333, 2609, 11368, 269, 9578, 267, 519, 7989, 1228, 987, 8591, 971, 513, 13858, 4161, 10590, 22177, 10501, 1190, 827, 741, 1491, 593, 519, 3014, 267, 594, 13761, 856, 741, 9043, 543, 4362, 1945, 4277, 281, 649, 1185, 1360, 2147, 16919, 538, 3756, 269, 2060, 938, 1455, 2666, 3964, 267, 594, 7948, 1405, 948, 855, 4898, 952, 789, 1522, 723, 930, 4030, 547, 2671, 3823, 9697, 659, 569, 8243, 281, 14730, 17963, 589, 3650, 781, 811, 6946, 1949, 269, 594, 18705, 513, 15826, 3210, 267, 10223, 1585, 2798, 689, 741, 2689, 543, 6998, 1246, 5346, 2055, 269, 1677, 1250, 9983, 267, 789, 14452, 16425, 543, 1252, 3585, 6035, 4388, 543, 15361, 3358, 4481, 547, 1250, 1404, 5882, 269, 3776, 6643, 19806, 15701, 883, 513, 4829, 995, 5385, 540, 2093, 543, 2994, 780, 2026, 2395, 5828, 883, 4374, 267, 649, 4797, 7234, 1114, 4485, 547, 17005, 519, 10792, 1158, 1369, 519, 3014, 269, 1284, 1256, 3323, 4687, 2984, 540, 938, 3197, 262, 9035, 267, 2347, 609, 554, 559, 926, 3585, 13249, 7972, 1813, 547, 3765, 20412, 730, 4220, 543, 19765, 13846, 6937, 269, 898, 729, 782, 1187, 543, 3756, 2394, 1862, 2608, 7120, 6335, 256, 22177, 2005, 7140, 856, 602, 938, 5172, 3014, 17354, 8068, 938, 18512, 7391, 543, 6603, 856, 547, 721, 1312, 267, 5356, 12600, 14229, 752, 890, 4060, 693, 2104, 10311, 543, 1543, 23937, 269, 901, 4316, 4847, 803, 547, 2744, 3407, 1702, 827, 3014, 1646, 543, 3177, 2189, 4030, 883, 519, 8186, 540, 15888, 20678, 547, 14183, 6131, 11655, 899, 6000, 269, 3414, 891, 4205, 267, 594, 7691, 1175, 875, 3532, 14637, 513, 11215, 543, 7722, 11080, 2146, 666, 581, 780, 1607, 2898, 3460, 18056, 803, 602, 3006, 2921, 513, 4960, 593, 21372, 4690, 5012, 547, 27644, 4296, 543, 3255, 269, 1635, 8508, 938, 8994, 6612, 585, 513, 28031, 5652, 3284, 5914, 2988, 572, 1138, 15975, 267, 594, 6591, 513, 3659, 543, 21927, 267, 1500, 6209, 7418, 547, 513, 3395, 2146, 267, 543, 4810, 20250, 519, 1379, 540, 5698, 1063, 9367, 543, 32266, 7567, 269, 5808, 6785, 602, 7989, 1228, 987, 1223, 1291, 547, 15400, 7554, 543, 23429, 2833, 286, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 9223, 281, 2201, 513, 4336, 540, 476, 272, 268, 276, 630, 5976, 476, 272, 1373, 2547, 15028, 543, 476, 276, 1373, 1034, 15028, 1070, 875, 1131, 596, 2557, 713, 2689, 286, 834, 8649, 5074, 256, 594, 2648, 621, 256, 1325, 582, 540, 678, 17989, 2609, 11368, 269, 1656, 519, 829, 2742, 2669, 2306, 621, 4101, 4799, 12585, 912, 296, 1131, 2557, 713, 2689, 607, 513, 476, 276, 267, 799, 568, 519, 1034, 15028, 593, 519, 4336, 269, 634, 3593, 6829, 513, 1164, 1377, 540, 9547, 609, 1913, 899, 834, 8649, 5074, 257, 543, 834, 296, 2648, 621, 1701, 1358, 849, 2446, 2318, 3344, 540, 519, 3014, 899, 681, 22333, 2609, 543, 4101, 829, 2742, 11546, 987 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14240, 689, 22816, 5406, 776, 267, 519, 1863, 8675, 454, 268, 634, 946, 540, 513, 7848, 540, 14471, 547, 3382, 1426, 3653, 547, 6175, 9329, 267, 1759, 593, 606, 2025, 5545, 8105, 2259, 563, 1001, 276, 5147, 476, 1240, 267, 13191, 3131, 337, 821, 267, 968, 294, 731, 839, 281, 1018, 547, 798, 713, 3018, 5608, 634, 26851, 912, 268, 1280, 513, 536, 758, 20076, 25690, 6539, 267, 2119, 1256, 13582, 518, 2593, 4586, 268, 589, 4480, 538, 5545, 3574, 23026, 1820, 14708, 602, 31267, 513, 8390, 538, 1769, 1145, 543, 14334, 540, 513, 2582, 7990, 676, 1797, 540, 13504, 4294, 676, 1688, 538, 5552, 725, 267, 2864, 982, 25144, 269, 0, 7197, 941, 12356, 267, 855, 741, 16034, 849, 3769, 930, 10271, 267, 7642, 543, 454, 597, 516, 31437, 269, 23099, 1452, 834, 338, 31190, 257, 941, 538, 1082, 2081, 14669, 547, 519, 10752, 540, 454, 26576, 543, 519, 2081, 23099, 1261, 568, 678, 2483, 6624, 12356, 2015, 741, 6574, 9295, 547, 581, 286, 3267, 3509, 12206, 454, 29264, 519, 11135, 540, 26554, 961, 832, 6807, 547, 581, 1412, 338, 6574, 11802, 286, 7917, 661, 269, 10557, 563, 21801, 476, 276, 267, 476, 1001, 276, 3267, 1548, 616, 930, 540, 519, 6574, 7418, 540, 12356, 610, 519, 3267, 7178, 568, 865, 454, 1177, 13135, 262, 1247, 789, 1810, 1405, 917, 602, 865, 1082, 1919, 616, 1813, 547, 23099, 15215, 281, 4208, 454, 18484, 1405, 27734, 2015, 4657, 741, 5132, 547, 5771, 610, 8567, 888, 6624, 1762, 12356, 616, 27209, 950, 789, 1294, 519, 4057, 3044, 540, 2713, 454, 1993, 12356, 2429, 519, 1158, 543, 741, 3908, 3255, 269, 1358, 849, 917, 4429, 4131, 721, 2015, 519, 7366, 540, 3621, 5013, 5018, 538, 519, 10513, 20845, 563, 12914, 476, 1428, 267, 476, 1001, 276, 3267, 476, 1015, 4279, 1977, 12356, 1656, 4256, 19928, 1903, 1677, 634, 2136, 2276, 3267, 769, 454, 1492, 1296, 2094, 267, 1082, 4892, 723, 15490, 569, 30199, 782, 12356, 585, 519, 3527, 454, 1993, 513, 1906, 3267, 4107, 24192, 2015, 1864, 519, 3056, 4274, 593, 2022, 25322, 2128, 3267, 563, 22818, 519, 6574, 3318, 4216, 518, 540, 782, 6066, 267, 18498, 729, 4535, 4429, 13971, 476, 272, 267, 476, 1001, 274, 3267, 589, 6224, 296, 14110, 4932, 19006, 267, 29313, 16898, 338, 6730, 28132, 6020, 289, 28513, 5508, 4959, 299, 4456, 9215, 20796, 17162, 4429, 3041, 299, 4456, 9215, 20796, 17162, 595, 4353, 6579, 22003, 9569, 1317, 1775, 2015, 621, 547, 581, 1034, 29412, 3267, 634, 454, 974, 2286, 540, 5771, 6273, 1082, 12356, 547, 741, 18517, 538, 2257, 543, 454, 1862, 972, 729, 2899, 513, 10340, 602, 729, 519, 6574, 538, 519, 1158, 563, 20225, 476, 2918, 267, 476, 1001, 275, 3267, 1280, 1082, 12356, 267, 2523, 1346, 540, 519, 25386, 267, 2672, 25206, 3099, 267, 4906, 568, 3267, 5527, 454, 1037, 338, 856, 519, 1283, 2947, 267, 855, 547, 2015, 21072, 968, 288, 4599, 892, 568, 10169, 23503, 269, 4429, 3286, 607, 519, 10271, 899, 547, 3494, 741, 2696, 568, 519, 1482, 2696, 540, 17194, 269, 10371, 2483, 20142, 633, 540, 1010, 1272, 543, 1010, 6574, 9295, 547, 7262, 3540, 714, 26559, 2483, 11321, 476, 2537, 267, 476, 1001, 276, 3267, 3571, 9295, 547, 1312, 14163, 582, 27318, 543, 15107, 4577, 2219, 568, 3267, 594, 1589, 540, 1325, 6363, 541, 29422, 454, 553, 519, 1101, 7332, 547, 12799, 2015, 519, 26350, 540, 9111, 269, 3267, 1280, 1082, 454, 15404, 32093, 620, 8566, 327, 9579, 8932, 568, 519, 1612, 6782, 540, 519, 16334, 329, 5417, 573, 267, 513, 2847, 1853, 540, 3267, 12356, 1590, 454, 1348, 891, 15806, 282, 930, 540, 741, 7440, 616, 1869, 10351, 2033, 563, 15404, 32093, 3494, 538, 513, 5832, 540, 28556, 4358, 609, 14088, 543, 1519, 25424, 267, 4429, 5976, 17194, 267, 789, 979, 1394, 547, 519, 22445, 543, 24663, 14062, 267, 543, 741, 1614, 454, 335, 23393, 1206, 3267, 3509, 2629, 1949, 971, 607, 7223, 267, 519, 12428, 27766, 267, 543, 849, 454, 1492, 23099, 1358, 2015, 1864, 835, 540, 519, 6574, 540, 2696, 781, 11619, 12310, 547, 18495, 563, 2005, 729, 713, 1482, 9099, 10340, 267, 609, 922, 1082, 7418, 547, 2257, 543, 519, 454, 1862, 769, 2040, 267, 519, 29240, 2221, 616, 1869, 5373, 2686, 32351, 689, 741, 1390, 454, 335, 770, 267, 3267, 12356, 2015, 17124, 547, 581, 519, 2063, 538, 513, 3126, 540, 28556, 799, 454, 2807, 8476, 543, 1256, 5280, 547, 11617, 796, 1518, 519, 6574, 7332, 3889, 269, 0, 27331, 600, 2088, 31203, 282, 31203, 540, 519, 19681, 2088, 282, 700, 3133, 30315, 994, 12812, 1934, 547, 2070, 606, 19347, 4528, 540, 713, 5650, 563, 14240, 288, 22495, 26618, 568, 513, 6391, 547, 4894, 513, 1507, 6712, 540, 513, 26485, 1572, 519, 22917, 2088, 269, 7638, 974, 3630, 324, 616, 519, 7633, 540, 519, 12636, 269, 634, 22917, 2088, 568, 513, 1507, 7381, 899, 6712, 593, 519, 15493, 540, 519, 26485, 16638, 930, 2665, 267, 1152, 513, 6712, 540, 519, 22917, 2088, 568, 6569, 689, 519, 26485, 269, 901, 5650, 568, 1634, 607, 22495, 30315, 563, 347, 15648, 9736, 715, 16197, 639, 6481, 9012, 267, 5549, 8198, 3725, 3517, 585, 26488, 288, 22495, 26618, 568, 2356, 2944, 547, 948, 1491, 2604, 1055, 707, 11983, 10260, 610, 513, 8229, 4881, 856, 689, 707, 11983, 10260, 269, 898, 568, 849, 2944, 547, 2744, 1569, 547, 519, 11983, 10260, 267, 7633, 267, 543, 25923, 602, 616, 2630, 519, 22917, 2088, 269, 670, 1716, 7007, 25923, 2073, 536, 3415, 838, 2720, 267, 610, 824, 2042, 666, 2014, 32560, 540, 519, 23668, 602, 519, 13285, 543, 11983, 10260, 2196, 998, 269, 901, 666, 8886, 622, 519, 8229, 952, 621, 4991, 1932, 7522, 269, 10705, 267, 513, 22495, 26618, 568, 2944, 2059, 609, 513, 12210, 8851, 547, 948, 1118, 519, 12324, 3677, 543, 1491, 2604, 1055, 519, 8229, 1373, 8886, 730, 269, 1879, 519, 11983, 10260, 610, 824, 13285, 1205, 8886, 730, 267, 789, 666, 2014, 912, 268, 10266, 538, 606, 6186, 610, 1850, 454, 303, 6372, 1290, 4124, 3682, 21793, 689, 519, 5650, 616, 4686, 267, 855, 782, 5773, 723, 930, 1981, 269, 2659, 4387, 786, 2689, 1761, 2042, 267, 899, 912, 268, 10552, 28163, 454, 268, 28100, 547, 13285, 267, 4611, 538, 1928, 267, 31018, 267, 32688, 267, 610, 26900, 454, 268, 10819, 1644, 547, 23236, 454, 268, 6271, 2564, 2783, 267, 3226, 2295, 610, 5761, 2042, 454, 268, 16842, 2085, 0, 288, 22308, 7634, 676, 2160, 540, 3703, 12052, 3173, 814, 7000, 602, 513, 24037, 21313, 3468, 532, 513, 2647, 2039, 540, 7786, 2965, 12090, 689, 11432, 1085, 636, 267, 855, 814, 4625, 8774, 922, 3039, 2250, 593, 922, 12105, 3460, 563, 288, 2319, 3366, 676, 772, 6195, 15636, 1415, 4515, 269, 18536, 3223, 9934, 3524, 10642, 519, 11646, 540, 4477, 545, 30950, 29899, 1107, 606, 29296, 21313, 602, 666, 6146, 11174, 3109, 13219, 267, 30746, 267, 22404, 543, 19498, 1107, 543, 1336, 621, 7960, 689, 13479, 899, 1776, 29200, 19800, 281, 13663, 563, 11390, 9934, 543, 9164, 1185, 5892, 4080, 602, 13663, 3838, 513, 1455, 12105, 22871, 609, 519, 13479, 3743, 585, 6757, 2699, 29500, 269, 4256, 5767, 1353, 267, 3370, 2221, 538, 519, 2228, 4760, 12813, 5308, 21834, 267, 2982, 602, 4477, 545, 30950, 29899, 7960, 689, 3039, 3473, 320, 855, 267, 7429, 13663, 267, 12873, 12303, 782, 922, 6090, 4849, 1346, 2838, 585, 15591, 563, 257, 13828, 13663, 543, 4477, 545, 30950, 29899, 3323, 856, 607, 3473, 320, 543, 8694, 909, 607, 29296, 15495, 840, 3539, 593, 2831, 267, 855, 789, 723, 2944, 621, 538, 1360, 1114, 2081, 2437, 3081, 3223, 9934, 267, 8689, 540, 519, 10418, 585, 19287, 658, 16844, 543, 12472, 693, 772, 6195, 543, 513, 18947, 29533, 540, 8225, 4659, 585, 11628, 3194, 563, 257, 22416, 7559, 20427, 4389, 922, 11646, 543, 2968, 1360, 8200, 593, 922, 3984, 585, 5567, 269, 4477, 545, 30950, 29899, 267, 593, 519, 824, 1688, 267, 4503, 3592, 4986, 4849, 1346, 6090, 2838, 585, 15591, 267, 799, 621, 1100, 3476, 2115, 607, 513, 21313, 563, 24679, 781, 607, 952, 15591, 814, 1044, 4907, 1227, 6569, 689, 922, 11646, 4799, 763, 6602, 267, 2944, 538, 5698, 609, 3744, 693, 519, 29550, 540, 29049, 6816, 543, 8419, 267, 786, 1450, 3173, 547, 5635, 875, 15495, 11457, 693, 519, 7636, 1377, 538, 891, 1079, 11397, 569, 1644, 1899, 1137, 563, 2005, 849, 2488, 519, 1101, 4030, 883, 741, 8129, 267, 1646, 607, 1134, 607, 2409, 540, 3968, 267, 799, 616, 1883, 547, 9013, 519, 2551, 540, 11641, 2987, 4167, 14747, 563, 15031, 4459, 3223, 9934, 1923, 30628, 1325, 1068, 2336, 1692, 19204, 538, 519, 15043, 2423, 2048, 20797, 685, 24651, 454, 1789, 269, 1556, 269, 1001, 276, 1923, 8592, 22846, 6925, 454, 6124, 5811, 26435, 585, 932, 12637, 11314, 538, 631, 26163, 454, 1789, 269, 1556, 269, 1001, 276, 1923, 9705, 11628, 4659, 540, 3163, 543, 5303, 454, 6524, 519, 5714, 540, 519, 1647, 1274, 28368, 543, 3280, 6329, 23309, 585, 519, 1101, 942, 267, 519, 6418, 1274, 2281, 540, 20169, 23224, 2259, 585, 741, 2462, 26813, 269, 12824, 693, 8592, 22846, 1867, 789, 723, 23125, 856, 519, 7636, 5832, 540, 2621, 602, 6087, 519, 2281, 547, 1118, 968, 338, 2432, 892, 593, 741, 1378, 267, 9247, 968, 335, 847, 6005, 892, 741, 2702, 547, 1184, 4992, 538, 519, 1158, 1472, 873, 563, 763, 3173, 267, 945, 4766, 741, 6901, 538, 519, 5463, 269, 476, 274, 7160, 540, 519, 4760, 8426, 267, 1397, 875, 4552, 2281, 538, 519, 6418, 1274, 666, 581, 15181, 538, 519, 9000, 2483, 23945, 564, 3047, 4810, 513, 2518, 2916, 6521, 538, 519, 3735, 476, 2735, 271, 338, 593, 606, 13778, 4336, 267, 8034, 8215, 676, 27643, 8337, 543, 513, 15027, 20349, 267, 2687, 547, 1007, 1382, 3370, 713, 3018, 563, 14722, 2161, 602, 513, 2101, 1900, 1689, 267, 610, 2048, 2958, 830, 6521, 8730, 538, 519, 3047, 779, 1979, 26491, 1949, 267, 689, 519, 5580, 5790, 547, 519, 17909, 540, 519, 5836, 543, 689, 2483, 763, 29163, 4659, 585, 9891, 6052, 7010, 4959, 292, 814, 8704, 476, 3583, 25675, 13838, 593, 519, 9018, 3655, 9809, 1228, 540, 835, 540, 922, 2978, 5656, 269, 634, 13838, 941, 2483, 301, 2925, 2281, 3382, 741, 1164, 1648, 3747, 609, 7280, 543, 14915, 622, 269, 12207, 540, 519, 2160, 540, 2098, 584, 747, 1631, 1683, 1007, 1489, 585, 713, 269, 1358, 1397, 585, 519, 1101, 942, 538, 519, 16856, 10856, 2634, 2963, 585, 606, 5385, 540, 14915, 622, 1063, 1114, 2634, 2281, 269, 2060, 713, 1353, 789, 941, 2111, 547, 6166, 513, 476, 736, 4458, 2025, 8367, 563, 1103, 6476, 547, 824, 8219, 267, 519, 1480, 2634, 814, 519, 5207, 1648, 4170, 269, 634, 3761, 540, 1648, 585, 8229, 2281, 543, 519, 1880, 1909, 540, 561, 12519, 3679, 2483, 1103, 8955, 1570, 4393, 267, 519, 11191, 540, 3157, 814, 1500, 1390, 26058, 936, 519, 2250, 1906, 1296, 269, 4653, 267, 519, 3301, 666, 3589, 5266, 1134, 1018, 786, 4755, 593, 519, 32179, 269, 10251, 267, 621, 568, 849, 3810, 1950, 543, 3340, 513, 2603, 540, 7384, 942, 269, 8729, 547, 15931, 5187, 2305, 267, 4966, 689, 29163, 14889, 307, 616, 1631, 2111, 547, 2709, 519, 1101, 268, 1197, 11191, 3301, 602, 21410, 3157, 538, 1483, 942, 543, 849, 8255, 593, 16979, 5904, 543, 16389, 269, 634, 3728, 3301, 6087, 3755, 547, 798, 1510, 7199, 6901, 543, 547, 1265, 19993, 1184, 6724, 1256, 811, 3927, 563, 6524, 1631, 267, 519, 6325, 11191, 540, 8955, 3157, 729, 513, 2816, 585, 4966, 269, 20331, 609, 10427, 3301, 15004, 543, 1310, 1082, 3108, 593, 2780, 2483, 1789, 269, 1556, 269, 1001, 276, 1923, 7926, 5240, 454, 1839, 269, 1556, 269, 1001, 276, 1923, 7926, 5240, 454, 1704, 269, 1556, 269, 1001, 276, 1923, 7926, 5240, 454, 1789, 269, 1556, 269, 1001, 276, 1923, 3047, 7070, 454, 1789, 269, 1556, 269, 1001, 276, 1923, 5020, 7070, 454, 1789, 269, 1556, 269, 1001, 276, 1923, 17905, 267, 634, 5113, 543, 11094, 0, 763, 6014, 4658, 1299, 519, 595, 19879, 281, 4112, 1819, 1299, 1234, 24554, 539, 454, 307, 4381, 676, 15887, 6798, 19846, 333, 3400, 10964, 548, 4173, 337, 10458, 454, 26607, 5886, 17058, 267, 5437, 476, 275, 267, 476, 1556, 267, 476, 1240, 454, 20103, 476, 273, 267, 476, 280, 267, 476, 1626, 454, 278, 281, 876, 6751, 1769, 562, 9655, 454, 278, 281, 1428, 6751, 910, 476, 279, 281, 3393, 6751, 1362, 454, 763, 10206, 540, 26315, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1101, 942, 621, 568, 1031, 538, 519, 1957, 563, 5475, 602, 267, 14841, 5573, 899, 865, 281, 670, 563, 268, 1772, 476, 1220, 1913, 1434, 2614, 585, 513, 2852, 1557, 454, 268, 674, 2948, 622, 2262, 1557, 579, 9366, 454, 268, 1548, 568, 519, 2262, 585, 950, 606, 1557, 2882, 513, 1025, 8538, 689, 1776, 1603, 454, 268, 589, 4627, 2262, 1557, 454, 763, 6673, 23105, 4964, 2511, 1281, 711, 946, 24495, 923, 538, 3377, 2984, 693, 782, 267, 24495, 545, 1125, 547, 3277, 547, 10643, 269, 901, 568, 1317, 24495, 923, 666, 581, 2352, 547, 10646, 593, 513, 2262, 5496, 563, 2691, 1603, 513, 1957, 267, 798, 594, 946, 24495, 923, 585, 782, 10643, 286, 910, 12226, 454, 8196, 707, 10385, 547, 3313, 2436, 24495, 923, 610, 824, 24495, 545, 3278, 540, 10223, 616, 3617, 585, 707, 3483, 269, 589, 12819, 2262, 32029, 6881, 2093, 946, 585, 24495, 923, 568, 547, 2721, 3007, 547, 513, 1880, 851, 540, 513, 1557, 538, 1931, 547, 1683, 8561, 563, 296, 798, 1018, 594, 1616, 256, 634, 1034, 1271, 4341, 568, 547, 581, 5812, 269, 1879, 606, 608, 17474, 1665, 610, 2243, 1665, 568, 851, 540, 513, 2140, 267, 1118, 2386, 602, 602, 1665, 568, 24495, 545, 1242, 2059, 609, 519, 2140, 267, 3733, 5172, 1433, 568, 7316, 5620, 2353, 519, 26540, 717, 821, 286, 594, 2648, 3220, 269, 1530, 1380, 781, 7937, 267, 519, 23089, 1411, 3513, 3619, 256, 10439, 6874, 2169, 783, 20905, 585, 19793, 1324, 22716, 529, 12834, 281, 901, 30453, 2488, 1344, 593, 3308, 543, 21849, 3457, 585, 4946, 8561, 547, 707, 1603, 1519, 21849, 11249, 267, 18685, 267, 4845, 2497, 267, 543, 519, 11460, 540, 1913, 269, 769, 1931, 547, 1397, 8561, 23121, 5031, 519, 2140, 540, 513, 1433, 267, 547, 3277, 547, 513, 2262, 3294, 607, 513, 2262, 267, 610, 547, 5815, 513, 4914, 2262, 610, 8360, 9789, 5856, 1131, 946, 896, 23164, 538, 519, 2010, 5296, 267, 799, 1131, 5365, 519, 2010, 21392, 693, 519, 1820, 6300, 547, 946, 24495, 545, 13944, 585, 1346, 1913, 269, 1703, 616, 930, 2511, 10274, 602, 4782, 519, 946, 540, 896, 23164, 936, 519, 946, 540, 24495, 923, 543, 13030, 17930, 269, 3371, 616, 267, 1498, 267, 930, 3652, 540, 1018, 547, 24495, 545, 1125, 269, 1717, 267, 798, 1832, 538, 2247, 602, 585, 930, 540, 891, 6688, 2630, 896, 23164, 568, 849, 2009, 269, 1411, 1058, 24495, 545, 1125, 519, 10643, 540, 1279, 3860, 1568, 538, 707, 1957, 269, 1452, 1331, 2835, 267, 1279, 9954, 267, 4249, 267, 8613, 2982, 543, 8874, 267, 26620, 267, 610, 7574, 15885, 269, 1403, 596, 616, 1603, 538, 9628, 610, 17090, 2511, 267, 596, 1058, 849, 24495, 545, 1125, 891, 10643, 593, 707, 1568, 11855, 2985, 610, 15853, 543, 946, 2140, 2013, 1775, 269, 769, 14905, 2511, 267, 24495, 545, 1125, 855, 798, 711, 946, 2140, 2013, 269, 1773, 904, 281, 20153, 28965, 568, 835, 540, 519, 1034, 4583, 3504, 5259, 24420, 23412, 269, 1261, 5206, 4249, 971, 607, 30466, 821, 543, 32084, 519, 3751, 269, 28414, 543, 8613, 1397, 10643, 281, 1284, 14478, 19343, 2063, 3781, 267, 543, 621, 17512, 1881, 721, 256, 1879, 568, 519, 1318, 942, 547, 946, 24495, 923, 286, 901, 2376, 786, 2491, 950, 547, 946, 1346, 1793, 5896, 5022, 543, 950, 621, 568, 1655, 547, 4734, 873, 20005, 269, 18599, 8320, 950, 24495, 923, 616, 3617, 538, 606, 1557, 1703, 616, 5111, 5722, 8320, 950, 621, 568, 3617, 547, 946, 24495, 923, 538, 4081, 1603, 269, 32228, 923, 786, 2693, 2408, 538, 4574, 8151, 689, 519, 6575, 547, 519, 9443, 543, 786, 4196, 1082, 3252, 269, 1677, 14458, 1919, 267, 649, 723, 3989, 950, 547, 946, 24495, 923, 538, 8551, 543, 28299, 4574, 2185, 8320, 543, 950, 547, 946, 873, 538, 519, 7070, 1614, 8320, 269, 32228, 923, 538, 519, 8551, 1703, 616, 1082, 8320, 950, 23408, 1053, 1265, 2933, 18516, 2436, 1945, 789, 723, 1175, 2854, 19262, 8561, 269, 7053, 267, 24495, 923, 616, 1031, 538, 1978, 10459, 585, 1585, 1808, 5301, 269, 3371, 616, 1079, 540, 519, 1455, 518, 3283, 269, 769, 7350, 267, 12593, 543, 2249, 4408, 540, 2713, 7068, 616, 24495, 545, 1242, 281, 634, 9998, 1634, 4759, 540, 519, 12593, 30941, 568, 670, 269, 634, 524, 25729, 14589, 9405, 645, 558, 2421, 322, 8759, 524, 539, 2928, 636, 568, 513, 5432, 1977, 6177, 563, 296, 2262, 519, 2262, 1166, 629, 6199, 16556, 269, 1403, 596, 2262, 547, 1557, 3007, 547, 513, 2262, 267, 24495, 545, 1125, 267, 610, 1297, 607, 513, 1808, 2165, 267, 946, 24495, 923, 269, 1879, 646, 6410, 547, 519, 28631, 17588, 6523, 267, 10116, 3724, 3212, 344, 2023, 2494, 940, 17477, 1010, 4583, 476, 1240, 593, 1010, 28478, 8124, 269, 898, 568, 849, 1557, 547, 946, 24495, 923, 547, 1397, 4334, 547, 707, 3988, 563, 2791, 666, 24495, 545, 1125, 835, 610, 1312, 1913, 4470, 593, 707, 6662, 269, 634, 3594, 998, 543, 28520, 949, 3280, 519, 1482, 855, 15069, 723, 1360, 1114, 1913, 20136, 1223, 581, 519, 2140, 540, 513, 1433, 267, 513, 1650, 267, 513, 11356, 267, 610, 1256, 707, 5172, 8613, 1397, 269, 9293, 899, 620, 30282, 798, 711, 991, 547, 581, 24495, 545, 1242, 267, 855, 1913, 899, 5033, 704, 535, 328, 798, 991, 547, 581, 24495, 545, 1242, 269, 4340, 547, 519, 8059, 626, 24697, 25968, 518, 267, 834, 6624, 1095, 20696, 3652, 540, 8239, 616, 1175, 10750, 31945, 543, 1058, 581, 25216, 689, 519, 6165, 1688, 9248, 257, 1496, 655, 3508, 529, 3773, 4940, 634, 6426, 568, 711, 24495, 545, 1242, 267, 6862, 616, 519, 10643, 540, 519, 2835, 1369, 621, 269, 5502, 649, 946, 19722, 7436, 1284, 4862, 519, 5152, 834, 289, 650, 773, 14639, 257, 676, 7812, 12722, 593, 519, 5925, 1614, 2053, 2063, 3781, 269, 1879, 568, 519, 1318, 942, 547, 946, 24495, 923, 888, 8794, 1557, 547, 1683, 8561, 610, 1397, 4334, 568, 2356, 7608, 538, 13016, 1557, 269, 1717, 267, 1034, 2511, 4808, 24495, 545, 1125, 1996, 891, 3096, 538, 6101, 267, 3318, 267, 610, 4081, 1603, 269, 1280, 1383, 267, 14905, 2262, 23403, 602, 1210, 24495, 923, 547, 1683, 8561, 568, 20025, 8259, 519, 5467, 1522, 4413, 707, 5497, 2495, 1510, 519, 24495, 923, 563, 2419, 8522, 2511, 849, 1281, 711, 24495, 545, 1125, 519, 946, 540, 24495, 923, 585, 8561, 269, 14348, 594, 1346, 581, 24495, 545, 1242, 269, 5213, 12298, 898, 781, 711, 2838, 269, 23560, 865, 2262, 581, 513, 2339, 540, 30031, 3903, 269, 3502, 6435, 995, 476, 276, 6435, 995, 476, 2537, 7726, 769, 1557, 267, 950, 594, 6415, 1603, 513, 2219, 3540, 27136, 17171, 1383, 540, 575, 16905, 1557, 24495, 923, 267, 543, 602, 2219, 2882, 513, 2262, 602, 1131, 7363, 581, 538, 24495, 923, 267, 971, 607, 513, 7641, 1397, 610, 1433, 2140, 267, 1287, 519, 1433, 2140, 610, 7641, 1397, 568, 632, 268, 1388, 545, 1242, 27085, 0, 5938, 600, 8490, 281, 589, 13419, 3293, 4804, 13979, 2488, 513, 9488, 1620, 540, 2319, 2679, 2035, 282, 1018, 621, 1797, 547, 581, 513, 4759, 540, 513, 2319, 267, 16882, 267, 543, 875, 6887, 3565, 547, 6024, 2298, 6454, 563, 7312, 1053, 786, 4019, 891, 2035, 538, 1585, 5751, 2429, 519, 1433, 269, 589, 11295, 1565, 1935, 568, 1031, 1141, 2319, 2818, 17967, 5107, 563, 10743, 1491, 7140, 607, 3401, 543, 24319, 269, 634, 20626, 5638, 519, 4205, 799, 2049, 538, 6061, 606, 3635, 267, 543, 5359, 4681, 547, 519, 2319, 693, 519, 1439, 540, 519, 3635, 269, 1452, 4681, 616, 9916, 676, 519, 2319, 3976, 2870, 606, 5790, 17929, 6887, 1451, 875, 547, 1451, 269, 1703, 616, 3875, 5751, 865, 519, 2875, 568, 6534, 547, 513, 4763, 540, 2042, 563, 5938, 600, 2035, 971, 607, 16882, 267, 14429, 4369, 267, 7829, 2352, 2818, 267, 543, 2319, 7145, 616, 6045, 543, 972, 616, 5751, 602, 948, 1053, 1451, 811, 827, 891, 2035, 267, 1247, 2679, 741, 2319, 1983, 563, 8368, 540, 12937, 454, 15288, 4456, 310, 3036, 298, 6730, 20219, 301, 2207, 294, 312, 454, 28899, 2609, 540, 2319, 5348, 1458, 454, 2710, 596, 991, 513, 2319, 888, 23322, 2524, 540, 606, 2500, 2319, 454, 19675, 2319, 15376, 581, 17319, 888, 288, 2151, 1324, 2318, 2319, 5348, 1458, 454, 1432, 723, 594, 20335, 883, 888, 19865, 476, 272, 267, 18833, 707, 2319, 2818, 454, 25321, 307, 6020, 289, 7473, 27633, 9215, 12164, 2316, 26214, 302, 4785, 19532, 3201, 14510, 29313, 4629, 309, 30121, 454, 20779, 532, 781, 3391, 547, 2298, 6454, 454, 19865, 476, 273, 267, 5915, 532, 20894, 454, 290, 4592, 2421, 781, 3391, 547, 2298, 6454, 454, 19865, 476, 274, 267, 595, 4592, 2421, 20894, 454, 297, 584, 534, 781, 3391, 547, 2298, 6454, 454, 19865, 476, 275, 267, 30083, 534, 20894, 454, 31535, 707, 2319, 2818, 454, 19865, 476, 276, 267, 1548, 568, 16882, 888, 19865, 476, 277, 267, 12243, 1184, 1852, 454, 24746, 13048, 3036, 20937, 23140, 4456, 595, 17109, 13543, 454, 288, 3099, 540, 2319, 268, 16651, 6163, 454, 25456, 2319, 3652, 454, 3725, 2286, 513, 13618, 454, 19865, 476, 278, 267, 19833, 2006, 1966, 454, 19865, 476, 279, 267, 14199, 1966, 454, 15288, 4456, 645, 308, 6579, 291, 5058, 11682, 3008, 2464, 454, 19865, 476, 280, 267, 18838, 2319, 3652, 454, 19865, 476, 1015, 267, 12243, 4879, 454, 2710, 781, 543, 5213, 1405, 338, 950, 4758, 5955, 454, 19865, 476, 1556, 267, 4937, 9263, 5955, 454, 19865, 476, 1321, 267, 26346, 9263, 6268, 454, 19865, 476, 1724, 267, 8682, 12431, 20156, 454, 26685, 2207, 4306, 13263, 5058, 670, 8582, 25723, 8946, 2562, 298, 454, 8624, 1819, 11058, 3206, 454, 19865, 476, 1691, 267, 11870, 18670, 454, 19865, 476, 1428, 267, 8892, 9036, 454, 19865, 476, 1626, 267, 2160, 5518, 454, 300, 4932, 21612, 590, 27263, 21201, 681, 5357, 2464, 454, 19865, 476, 1704, 267, 13207, 1456, 18934, 906, 454, 19865, 476, 1240, 267, 1627, 296, 1788, 454, 19865, 476, 866, 267, 7991, 6205, 454, 19865, 476, 736, 267, 24635, 720, 3781, 25717, 454, 13052, 303, 13263, 3633, 23140, 4456, 631, 4932, 21612, 681, 5357, 2464, 454, 27026, 4305, 3252, 454, 19865, 476, 2641, 267, 25947, 3506, 454, 19865, 476, 2420, 267, 25947, 2533, 454, 19865, 476, 2537, 267, 6153, 4116, 454, 13052, 303, 13263, 5058, 23140, 4456, 27699, 6579, 11862, 454, 4942, 1162, 540, 513, 5870, 454, 19865, 476, 2190, 267, 4937, 654, 664, 342, 2431, 454, 19865, 476, 1839, 267, 12243, 4879, 454, 19865, 476, 2918, 267, 3767, 1018, 888, 307, 24688, 2464, 267, 23140, 4456, 306, 6730, 27749, 23140, 4456, 306, 454, 3725, 1783, 585, 7463, 6887, 454, 15899, 1922, 23341, 1788, 6887, 454, 20236, 30928, 630, 1345, 17907, 3042, 264, 6887, 454, 306, 7739, 532, 6024, 2298, 6454, 0, 763, 11996, 540, 713, 16147, 616, 17848, 267, 11683, 12059, 267, 17828, 25004, 267, 19724, 1530, 22770, 267, 11683, 715, 12764, 267, 11683, 18479, 22770, 267, 543, 11683, 774, 597, 10117, 454, 11243, 7648, 585, 519, 645, 258, 1724, 16147, 912, 268, 645, 258, 667, 11395, 774, 597, 10117, 454, 763, 645, 258, 667, 11395, 774, 597, 10117, 16147, 568, 1500, 909, 540, 519, 4967, 645, 258, 267, 667, 1012, 267, 674, 1012, 267, 589, 258, 267, 595, 1012, 267, 661, 258, 267, 543, 717, 1012, 454, 9596, 875, 547, 1224, 16147, 12222, 1934, 454, 24687, 602, 17492, 519, 645, 258, 476, 1724, 16147, 912, 289, 258, 667, 1012, 674, 1012, 589, 258, 595, 1012, 661, 258, 717, 1012, 454, 2419, 867, 4542, 585, 519, 667, 11395, 774, 597, 10117, 16147, 912, 23763, 547, 4487, 22334, 3069, 286, 6258, 811, 609, 938, 22334, 4070, 5850, 454, 5591, 13176, 12222, 2813, 2943, 585, 713, 16147, 269, 32369, 835, 1934, 454, 2791, 666, 1711, 1022, 9491, 1359, 596, 899, 593, 1022, 851, 540, 519, 31361, 4580, 267, 1175, 1404, 930, 540, 519, 16147, 18565, 3254, 538, 519, 4786, 2630, 269, 2368, 5546, 786, 3280, 1434, 267, 930, 1447, 267, 1577, 707, 10772, 6430, 2336, 9596, 519, 9238, 540, 1166, 29546, 1723, 23882, 13176, 2228, 281, 1034, 1455, 10253, 267, 16147, 3356, 687, 267, 543, 513, 3787, 540, 1166, 29546, 1723, 1686, 10756, 29909, 1022, 22459, 814, 4810, 930, 3942, 19225, 269, 769, 713, 5850, 267, 649, 2811, 2469, 547, 1294, 875, 547, 7753, 3942, 4250, 609, 4052, 5796, 543, 4388, 10756, 1103, 713, 2376, 596, 3513, 1451, 606, 5863, 267, 2656, 543, 2241, 3635, 602, 786, 4625, 2490, 26700, 16365, 707, 31361, 4580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9230, 992, 267, 897, 11723, 3546, 1948, 11374, 568, 513, 11360, 344, 3070, 547, 2638, 952, 519, 3403, 14181, 18602, 568, 4570, 563, 3546, 1948, 3807, 11716, 621, 563, 3546, 4604, 318, 23719, 318, 9690, 16229, 815, 5299, 19709, 788, 32476, 29033, 994, 3546, 4604, 318, 23719, 318, 9690, 16229, 314, 992, 6012, 3712, 316, 815, 476, 271, 454, 3546, 952, 711, 4570, 5091, 13424, 29033, 318, 23719, 318, 9690, 16229, 267, 4604, 314, 992, 6012, 3712, 3910, 4737, 267, 897, 267, 15079, 2187, 7386, 1820, 2891, 296, 331, 29729, 3403, 14181, 18602, 267, 5667, 565, 15344, 23528, 7386, 14827, 263, 271, 994, 8931, 825, 2132, 2512, 625, 692, 258, 28055, 338, 547, 4194, 519, 14181, 18602, 2016, 676, 4604, 563, 3698, 4194, 5091, 520, 318, 3333, 527, 29033, 267, 2392, 1030, 318, 785, 545, 625, 2187, 825, 1948, 7351, 4994, 454, 825, 4737, 815, 897, 815, 476, 271, 454, 825, 1948, 5901, 338, 3950, 540, 782, 9704, 602, 814, 6836, 547, 581, 5116, 543, 568, 5116, 693, 519, 2016, 4994, 563, 825, 1948, 2422, 995, 585, 1394, 10177, 9535, 543, 711, 3478, 12758, 538, 606, 11995, 8520, 1247, 3843, 519, 1482, 454, 825, 1948, 7857, 936, 543, 936, 1586, 563, 825, 1031, 5091, 580, 1080, 318, 520, 16229, 815, 2715, 10926, 825, 1247, 6936, 912, 1038, 952, 4888, 296, 7246, 3582, 318, 300, 7495, 292, 912, 2018, 606, 1493, 5334, 1828, 29033, 267, 4737, 267, 897, 2020, 1038, 1948, 4787, 760, 4994, 602, 666, 1405, 581, 4957, 563, 1038, 952, 630, 992, 267, 897, 264, 538, 2392, 1030, 318, 785, 545, 625, 912, 2018, 4737, 267, 897, 815, 1985, 16229, 21405, 267, 897, 994, 2018, 952, 4737, 2652, 476, 280, 912, 3546, 1820, 3488, 11405, 1336, 281, 5073, 3546, 2132, 4604, 692, 1038, 1948, 8347, 547, 7696, 513, 7857, 693, 1699, 4994, 267, 6382, 1394, 10177, 1188, 563, 1038, 3116, 912, 2018, 7857, 318, 31419, 815, 8771, 454, 2018, 585, 7857, 538, 2039, 263, 272, 267, 476, 1015, 2187, 3546, 952, 4570, 5091, 13424, 29033, 267, 7857, 267, 4737, 267, 897, 267, 1031, 5091, 580, 1080, 318, 520, 16229, 2187, 7386, 4604, 314, 992, 6012, 3712, 316, 815, 7857, 454, 7386, 952, 630, 992, 267, 897, 264, 538, 1031, 5091, 580, 1080, 318, 520, 16229, 912, 13376, 1031, 5091, 580, 1080, 318, 520, 16229, 27007, 992, 267, 897, 264, 4940, 6572, 5560, 13424, 994, 7386, 3116, 912, 13376, 1031, 5091, 580, 1080, 318, 520, 16229, 27007, 992, 267, 897, 13580, 815, 1496, 323, 13424, 2639, 7386, 4737, 267, 897, 815, 1985, 16229, 21405, 267, 897, 994, 7386, 952, 4737, 2652, 476, 280, 912, 13376, 952, 4888, 296, 7246, 3582, 318, 300, 7495, 292, 912, 23351, 15259, 269, 17882, 3488, 27234, 5073, 13376, 1820, 3488, 11405, 1336, 281, 5073, 13376, 2132, 4604, 454, 7386, 7857, 318, 31419, 815, 6936, 454, 7386, 2736, 454, 4449, 454, 2018, 1948, 3143, 7857, 1223, 581, 5116, 267, 2119, 547, 1394, 10177, 1188, 563, 2018, 952, 711, 7857, 318, 31419, 912, 3546, 952, 4888, 296, 7246, 3582, 318, 300, 7495, 292, 912, 7386, 1820, 3488, 12988, 10177, 9535, 693, 4994, 281, 1412, 1341, 1193, 21405, 264, 1341, 14307, 834, 476, 1341, 1193, 263, 3712, 4917, 3546, 1948, 2745, 318, 4580, 29033, 994, 3546, 1031, 5091, 580, 1080, 318, 520, 16229, 27007, 992, 267, 897, 13580, 815, 11713, 3546, 4604, 314, 992, 6012, 3712, 316, 815, 476, 271, 454, 3546, 4737, 267, 897, 815, 7173, 16229, 21405, 267, 897, 994, 3546, 1247, 630, 992, 267, 897, 264, 538, 2392, 1030, 318, 785, 545, 625, 912, 7386, 4737, 267, 897, 815, 7173, 16229, 21405, 267, 897, 994, 17264, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2392, 1030, 318, 785, 545, 625, 815, 1205, 28177, 18249, 5091, 13424, 318, 785, 545, 625, 9272, 5334, 644, 18602, 994, 825, 1820, 318, 4580, 4433, 9876, 5091, 520, 318, 3333, 527, 9272, 5334, 644, 18602, 267, 2392, 1030, 318, 785, 545, 625, 4917, 8931, 8931, 0, 18411, 1607, 568, 519, 11191, 540, 2095, 540, 7454, 318, 293, 527, 318, 5719, 920, 2084, 563, 7437, 713, 11191, 267, 621, 786, 16616, 519, 2095, 540, 875, 645, 293, 291, 1568, 563, 2005, 1281, 711, 1491, 883, 2272, 519, 2773, 267, 3432, 540, 620, 628, 563, 18257, 692, 5814, 4351, 692, 5035, 23642, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 3193, 318, 5115, 320, 2187, 1038, 1582, 12500, 514, 8217, 815, 11713, 1038, 1582, 269, 5115, 13369, 815, 476, 271, 454, 1038, 1948, 7665, 318, 5115, 320, 540, 1142, 10822, 454, 1038, 1582, 27982, 318, 5115, 320, 815, 3193, 318, 5115, 320, 22562, 825, 1219, 10822, 318, 6572, 4311, 267, 6221, 2187, 1038, 1582, 12500, 514, 8217, 6910, 263, 14403, 994, 1038, 1582, 269, 5115, 13369, 6834, 6221, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1412, 289, 514, 630, 9690, 318, 5115, 13369, 284, 260, 323, 267, 3688, 284, 260, 338, 267, 3193, 318, 5115, 13369, 284, 260, 338, 264, 262, 4939, 630, 1345, 269, 5115, 13369, 267, 1193, 4311, 12500, 514, 8217, 1070, 1582, 27982, 318, 5115, 320, 9239, 3698, 6221, 318, 817, 9892, 5560, 655, 663, 267, 3193, 318, 5115, 320, 2187, 825, 23288, 825, 24637, 568, 519, 1592, 540, 519, 16761, 19206, 602, 991, 547, 581, 19034, 538, 547, 25510, 269, 3962, 16761, 4390, 568, 711, 8273, 982, 476, 1015, 454, 825, 769, 713, 11191, 267, 972, 616, 476, 275, 10822, 609, 1114, 5021, 4390, 563, 825, 1284, 786, 1294, 875, 519, 3747, 786, 3514, 891, 476, 275, 25510, 538, 645, 293, 291, 563, 825, 23288, 8931, 825, 1948, 590, 15659, 519, 3747, 1592, 454, 825, 2418, 815, 15044, 5560, 655, 663, 267, 9258, 815, 6936, 994, 825, 25510, 815, 11713, 825, 585, 1775, 538, 2039, 263, 275, 2187, 1038, 25510, 6910, 16360, 514, 32384, 318, 5115, 320, 4917, 825, 585, 4994, 267, 10822, 538, 26246, 6357, 1231, 2187, 1038, 1820, 834, 19340, 281, 4939, 338, 267, 10822, 281, 4939, 338, 257, 4939, 263, 8161, 266, 272, 267, 10822, 994, 825, 1820, 27719, 333, 763, 1592, 540, 7569, 281, 4939, 338, 1422, 333, 257, 4939, 2418, 692, 825, 689, 10070, 1104, 18103, 1229, 291, 1112, 454, 825, 3514, 14456, 10734, 1231, 815, 18103, 1229, 291, 1112, 10797, 825, 585, 6221, 538, 2418, 11468, 14158, 13872, 1038, 1948, 3399, 338, 17501, 1142, 16761, 1698, 320, 547, 10822, 454, 1038, 1820, 9497, 315, 333, 260, 338, 18786, 513, 1007, 17501, 4939, 338, 257, 4939, 263, 3488, 265, 262, 265, 1789, 1070, 18011, 265, 262, 265, 1789, 21875, 1038, 1820, 9497, 315, 333, 763, 16761, 4390, 568, 2469, 547, 581, 13761, 281, 4939, 338, 257, 4939, 14403, 2020, 1038, 585, 4994, 267, 10822, 538, 26246, 6357, 1231, 2187, 2018, 1820, 27719, 333, 11960, 645, 9128, 16800, 28218, 16249, 4840, 2018, 1820, 834, 289, 514, 281, 4939, 338, 267, 10025, 281, 260, 338, 257, 4939, 263, 8161, 266, 272, 267, 10822, 994, 2018, 952, 10822, 269, 5115, 13369, 1341, 6221, 10922, 10822, 27982, 318, 5115, 320, 912, 3546, 1948, 12433, 519, 1699, 1698, 320, 540, 1142, 10822, 454, 3546, 1699, 318, 5115, 320, 815, 10822, 269, 5115, 13369, 1341, 6221, 454, 3546, 1948, 15188, 519, 3514, 14456, 547, 519, 3514, 14456, 10734, 1231, 454, 3546, 3514, 14456, 10734, 1231, 314, 16535, 316, 815, 630, 9690, 318, 5115, 320, 267, 4994, 2020, 1038, 952, 3514, 14456, 10734, 1231, 912, 2018, 1820, 27719, 333, 763, 3514, 14456, 10734, 1231, 281, 4840, 2018, 585, 10822, 267, 1871, 538, 3514, 14456, 10734, 1231, 29096, 10031, 3546, 1820, 834, 289, 514, 281, 4939, 338, 267, 10025, 281, 260, 338, 257, 4939, 263, 7407, 314, 272, 27994, 272, 267, 10822, 994, 1038, 3116, 912, 2018, 1820, 27719, 333, 2467, 568, 12971, 3514, 14456, 10734, 1231, 5016, 1038, 952, 3514, 14456, 10734, 1231, 912, 2018, 3193, 318, 9690, 318, 5115, 320, 815, 3193, 6600, 8636, 762, 10734, 1231, 269, 11161, 19572, 1883, 284, 14433, 1535, 281, 343, 314, 271, 8079, 314, 271, 2639, 2018, 585, 10822, 267, 1871, 538, 3514, 14456, 10734, 1231, 29096, 10031, 3546, 952, 1871, 314, 271, 316, 2652, 3193, 318, 9690, 318, 5115, 320, 912, 7386, 10822, 12500, 514, 318, 6572, 263, 14403, 994, 7386, 2418, 31927, 263, 14403, 994, 7386, 3514, 14456, 10734, 1231, 269, 27234, 4590, 7386, 1820, 27719, 333, 11960, 19200, 9898, 28218, 16249, 4840, 7386, 1820, 834, 289, 514, 281, 4939, 338, 267, 10025, 281, 260, 338, 257, 4939, 263, 7407, 314, 272, 27994, 272, 267, 10822, 994, 7386, 1820, 27719, 333, 763, 1629, 8724, 16761, 19206, 281, 4939, 338, 1422, 333, 257, 4939, 11161, 454, 7386, 2736, 454, 825, 2132, 25510, 692, 3698, 4152, 5560, 655, 663, 8217, 267, 3193, 318, 5115, 320, 22561, 2187, 825, 1820, 834, 260, 338, 18786, 4939, 338, 1422, 333, 834, 4939, 263, 3488, 265, 262, 265, 1789, 1070, 18011, 265, 262, 265, 1789, 4917, 825, 25510, 815, 6221, 318, 817, 9892, 5560, 655, 663, 8217, 267, 3193, 318, 5115, 320, 994, 825, 1820, 1412, 315, 333, 260, 338, 19419, 17109, 590, 9331, 300, 14473, 4939, 338, 262, 4939, 263, 3488, 265, 262, 265, 1789, 1070, 18011, 265, 262, 265, 1789, 4917, 825, 1820, 1412, 763, 11191, 1210, 3299, 7003, 6357, 1231, 1070, 1412, 321, 1231, 281, 7055, 825, 585, 10822, 538, 25510, 912, 1038, 1820, 10822, 28329, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 4351, 5091, 655, 663, 8217, 815, 1496, 12690, 27110, 9217, 267, 476, 1556, 264, 585, 1775, 538, 2039, 263, 272, 267, 476, 1015, 13580, 8931, 825, 1948, 769, 713, 4152, 267, 5021, 4390, 540, 1142, 10822, 568, 476, 1556, 454, 825, 4152, 263, 12690, 5091, 655, 663, 8217, 267, 476, 1556, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 14854, 454, 1233, 815, 14854, 2529, 10547, 4590, 1233, 12500, 326, 10233, 2891, 291, 1046, 307, 584, 638, 18857, 5602, 1233, 26644, 2891, 20694, 543, 570, 612, 6730, 681, 27912, 312, 15419, 531, 1410, 815, 14854, 11053, 31103, 10797, 339, 612, 815, 14854, 11053, 31103, 4590, 339, 612, 269, 10233, 2891, 14653, 335, 1074, 5602, 339, 612, 4877, 839, 1125, 263, 276, 2020, 4459, 344, 815, 14854, 11053, 31103, 10797, 3698, 3001, 4671, 612, 6025, 31103, 272, 2567, 453, 258, 7116, 2305, 267, 19597, 730, 519, 2630, 5322, 883, 513, 1219, 269, 3767, 1775, 666, 3651, 3615, 547, 5322, 563, 453, 339, 31103, 272, 4877, 523, 1575, 4590, 453, 339, 31103, 272, 16192, 263, 3445, 994, 453, 339, 31103, 272, 269, 3453, 263, 3199, 994, 453, 339, 31103, 272, 4877, 754, 1144, 10797, 453, 3712, 832, 815, 22373, 323, 1046, 1793, 622, 15454, 2580, 834, 323, 1046, 13687, 2580, 834, 323, 1046, 642, 14489, 31116, 453, 339, 31103, 272, 17482, 2891, 5035, 545, 15419, 22610, 1775, 538, 4778, 912, 453, 453, 339, 31103, 272, 269, 10233, 9217, 994, 453, 453, 339, 31103, 272, 269, 3453, 263, 3199, 994, 453, 453, 339, 31103, 272, 16000, 263, 6344, 2020, 453, 339, 31103, 272, 4877, 523, 1575, 4590, 453, 339, 31103, 272, 16192, 263, 5197, 994, 453, 339, 31103, 272, 269, 3453, 263, 3199, 994, 453, 339, 31103, 272, 4877, 754, 1144, 10797, 3698, 3001, 318, 531, 1410, 6025, 31103, 273, 2567, 453, 258, 7116, 2305, 267, 19597, 730, 519, 2630, 5322, 883, 513, 1219, 269, 3767, 1775, 666, 3651, 3615, 547, 5322, 563, 453, 339, 31103, 273, 17482, 2891, 339, 31103, 5602, 22610, 1775, 538, 18358, 1042, 3299, 1412, 19009, 12887, 19990, 3299, 1412, 326, 1245, 11172, 912, 453, 453, 531, 1410, 269, 10233, 9217, 994, 453, 453, 339, 31103, 273, 269, 3453, 263, 2004, 994, 453, 453, 339, 31103, 273, 16000, 263, 3445, 2020, 3698, 3001, 318, 4459, 344, 6025, 31103, 274, 2187, 453, 339, 31103, 274, 17482, 2891, 15132, 548, 5602, 453, 339, 31103, 274, 4877, 523, 1575, 4590, 453, 339, 31103, 274, 16000, 263, 3445, 994, 453, 339, 31103, 274, 269, 3453, 263, 5197, 994, 453, 339, 31103, 274, 4877, 839, 1125, 263, 736, 264, 1948, 3553, 14854, 2450, 547, 476, 736, 692, 453, 323, 2700, 815, 476, 271, 692, 22610, 1775, 538, 2039, 263, 1789, 2187, 453, 453, 339, 31103, 274, 14714, 2086, 3890, 1948, 548, 1511, 606, 12705, 267, 3314, 267, 519, 4050, 1575, 3890, 1599, 1590, 581, 1572, 1101, 563, 453, 453, 323, 2700, 6834, 476, 272, 476, 453, 258, 21561, 519, 2450, 593, 1169, 21767, 454, 453, 453, 339, 31103, 274, 269, 3453, 5560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1957, 543, 5848, 1396, 16443, 1957, 888, 12585, 281, 16959, 1396, 16443, 1957, 814, 1100, 1216, 1543, 538, 621, 269, 7720, 626, 1396, 16443, 1957, 814, 1216, 1543, 538, 621, 269, 634, 1396, 16443, 1957, 568, 5848, 2989, 609, 1216, 1354, 2921, 922, 9063, 563, 1432, 568, 513, 5848, 1396, 16443, 1957, 888, 27770, 626, 1396, 16443, 1957, 568, 1031, 547, 3713, 3679, 9362, 971, 607, 670, 5141, 610, 14298, 273, 799, 949, 581, 2016, 1055, 676, 8022, 610, 10920, 19397, 6878, 538, 606, 10763, 5650, 269, 2910, 273, 568, 606, 3679, 3154, 267, 855, 568, 811, 15983, 4857, 676, 18654, 1216, 269, 634, 1292, 22279, 3154, 799, 568, 3812, 676, 8022, 610, 6547, 568, 19760, 274, 563, 3963, 1281, 1396, 16443, 1957, 723, 547, 581, 6632, 888, 763, 1396, 16443, 1957, 1590, 581, 14927, 1107, 519, 1216, 4744, 11510, 930, 540, 519, 20841, 865, 602, 621, 666, 2746, 609, 519, 13525, 593, 519, 1396, 16443, 1957, 563, 3963, 798, 649, 946, 6632, 1396, 16443, 1957, 888, 27770, 626, 1797, 547, 1683, 1216, 607, 513, 5420, 269, 2334, 28355, 9357, 568, 585, 519, 22279, 3601, 267, 865, 649, 991, 547, 946, 5848, 1396, 16443, 1957, 547, 1449, 585, 30175, 6541, 610, 23639, 563, 2691, 7318, 513, 3070, 7140, 2699, 1396, 16443, 547, 4544, 888, 347, 16446, 1396, 16443, 1475, 23325, 1396, 16443, 2008, 347, 10907, 573, 545, 3070, 1475, 1805, 904, 2699, 1475, 307, 5281, 2699, 2008, 347, 10468, 23018, 3070, 1475, 1805, 904, 2699, 1475, 1805, 904, 4544, 2008, 347, 2704, 330, 13824, 3070, 1475, 307, 5281, 4544, 1475, 1805, 904, 4544, 2008, 1432, 2186, 540, 3679, 1281, 16693, 543, 6070, 1118, 888, 16631, 10417, 281, 1635, 11544, 16693, 543, 6070, 547, 1118, 8652, 18608, 545, 3679, 267, 513, 2178, 3679, 267, 621, 786, 23271, 2476, 519, 14809, 7623, 593, 30779, 625, 563, 1432, 4523, 950, 596, 1039, 6070, 547, 16693, 888, 2691, 519, 16693, 543, 6070, 23271, 519, 7601, 268, 6448, 4494, 267, 789, 1118, 621, 4443, 585, 519, 7601, 8444, 547, 6443, 5135, 689, 519, 2011, 543, 20841, 689, 519, 6070, 547, 1118, 513, 4544, 25984, 7623, 1572, 4731, 778, 924, 563, 1432, 7622, 3688, 1118, 513, 2178, 3679, 888, 5278, 7622, 3688, 602, 2270, 7408, 1331, 281, 18506, 267, 16693, 267, 548, 3000, 10433, 267, 3632, 878, 3679, 267, 13212, 267, 21297, 267, 12566, 1952, 956, 267, 22623, 9440, 14036, 267, 5144, 267, 543, 9075, 563, 3674, 966, 710, 3258, 519, 1482, 607, 8652, 18608, 545, 3679, 888, 306, 877, 855, 7756, 700, 1115, 2015, 1079, 1455, 7408, 1107, 8652, 18608, 545, 543, 16693, 630, 528, 1035, 2045, 1315, 2802, 8457, 545, 3679, 1040, 1358, 616, 1312, 7408, 543, 1312, 4744, 1539, 622, 543, 1106, 7250, 630, 528, 3289, 1258, 1756, 264, 12274, 538, 3070, 563, 4692, 594, 946, 16693, 3079, 540, 9597, 328, 1738, 3679, 888, 4942, 6664, 7595, 3679, 568, 513, 1434, 12990, 585, 9597, 328, 1738, 3679, 543, 538, 1034, 3871, 786, 2973, 7252, 1175, 607, 1134, 609, 1447, 1981, 269, 966, 710, 3258, 568, 513, 1360, 4617, 1106, 540, 31984, 12087, 8028, 2839, 269, 966, 710, 3258, 786, 1491, 476, 1015, 311, 1107, 476, 736, 311, 607, 1279, 547, 4894, 1984, 8397, 607, 12653, 328, 1738, 18729, 269, 26419, 1100, 6476, 563, 4692, 596, 1118, 8652, 18608, 545, 3679, 609, 6070, 543, 16693, 888, 2691, 16693, 568, 6404, 609, 6070, 267, 519, 1035, 2045, 3679, 538, 519, 16693, 23465, 609, 519, 9770, 17296, 610, 6070, 547, 3132, 9770, 21449, 622, 543, 8652, 18608, 545, 3679, 269, 634, 8652, 18608, 545, 3679, 568, 513, 2178, 3679, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11777, 1118, 950, 621, 20061, 782, 519, 1259, 5180, 519, 5835, 11113, 286, 31385, 585, 513, 269, 1547, 1547, 16317, 2162, 18471, 543, 18471, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 3682, 557, 602, 519, 26484, 1858, 540, 519, 12931, 22511, 568, 3160, 547, 519, 1858, 540, 519, 6418, 5858, 780, 2162, 3807, 17029, 1782, 18471, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 303, 568, 513, 1448, 593, 519, 18592, 540, 513, 5858, 8953, 678, 799, 20061, 267, 1510, 1793, 6235, 267, 3330, 513, 5858, 540, 8953, 476, 273, 337, 269, 1548, 568, 519, 30580, 540, 623, 2496, 2162, 4591, 569, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 763, 4557, 9095, 338, 8108, 519, 8728, 540, 519, 834, 3128, 569, 6978, 257, 616, 782, 9095, 338, 540, 10580, 540, 8953, 476, 272, 4699, 269, 4855, 519, 3259, 540, 519, 15943, 540, 519, 2868, 569, 6978, 543, 519, 1858, 540, 922, 2627, 780, 2162, 4325, 5338, 5455, 267, 20405, 532, 13560, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16987, 2939, 609, 519, 2170, 2032, 540, 834, 13764, 257, 2834, 29977, 267, 543, 2263, 875, 519, 1114, 7158, 540, 519, 2699, 12297, 5540, 922, 3432, 693, 1142, 3942, 780, 2162, 25397, 5071, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8489, 1058, 28359, 1376, 519, 476, 1220, 332, 5198, 865, 602, 789, 723, 782, 2196, 519, 1482, 3845, 676, 519, 9096, 2496, 2162, 1215, 10787, 6496, 621, 8844, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16987, 2939, 609, 519, 2170, 2032, 540, 834, 13764, 257, 2834, 29977, 267, 543, 2263, 875, 519, 1114, 7158, 540, 519, 2699, 12297, 5540, 519, 3845, 621, 12599, 693, 1142, 3942, 780, 2162, 5565, 25609, 1299, 2398, 5793, 769, 330, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2252, 594, 1820, 713, 2985, 799, 3337, 786, 2154, 519, 811, 5835, 13504, 2496, 2162, 3131, 19107, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 7420, 5426, 1384, 10521, 12931, 22511, 1694, 593, 519, 8006, 540, 513, 12931, 22511, 8998, 744, 540, 7466, 741, 8953, 269, 20514, 998, 744, 7941, 519, 15943, 883, 1079, 2694, 269, 1548, 666, 596, 2161, 827, 519, 13080, 540, 891, 1079, 2694, 2496, 2162, 27951, 4591, 569, 23516, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8340, 519, 15943, 543, 1858, 540, 513, 2868, 569, 6978, 602, 786, 711, 9114, 6366, 630, 527, 814, 2942, 22441, 609, 1412, 322, 597, 3380, 262, 2348, 18592, 3152, 982, 476, 273, 11027, 337, 6393, 2162, 21940, 547, 2142, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 19177, 9076, 1218, 616, 6537, 1298, 1042, 693, 519, 14622, 540, 513, 4009, 1547, 4855, 519, 1858, 540, 519, 3844, 3148, 22112, 676, 519, 2185, 9095, 338, 780, 2162, 1488, 2193, 1206, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 10376, 540, 519, 1739, 5546, 568, 1500, 689, 9095, 338, 540, 513, 5858, 540, 8953, 678, 269, 1548, 568, 519, 15943, 540, 513, 3337, 609, 476, 274, 267, 476, 275, 267, 476, 276, 543, 562, 834, 333, 3941, 6231, 2162, 10222, 9201, 543, 8891, 1023, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2304, 31164, 6906, 29226, 1472, 2834, 29977, 543, 7472, 606, 7291, 899, 513, 8768, 269, 1548, 616, 519, 829, 12281, 540, 519, 1114, 5810, 286, 0, 307, 16781, 532, 19065, 376, 5231, 1763, 293, 5407, 692, 258, 23048, 4147, 476, 1015, 2776, 8274, 476, 1708, 272, 2433, 9119, 630, 294, 15843, 570, 1122, 15840, 611, 584, 5398, 3427, 630, 28566, 289, 4916, 1070, 667, 4026, 777, 584, 2020, 279, 3817, 267, 476, 7830, 2055, 267, 476, 271, 2055, 609, 6114, 267, 476, 271, 2698, 6114, 267, 30336, 1109, 274, 30336, 1109, 271, 454, 589, 12505, 30277, 9791, 10428, 338, 3427, 4139, 267, 918, 841, 1662, 2051, 3415, 267, 1715, 16156, 454, 266, 293, 1511, 1109, 300, 20687, 454, 5851, 3436, 513, 12505, 1695, 4364, 3436, 5231, 674, 4746, 12286, 593, 281, 3427, 8525, 524, 321, 572, 1015, 318, 2181, 318, 15236, 543, 476, 272, 811, 692, 26705, 1154, 2985, 27250, 294, 7838, 308, 570, 9680, 22601, 295, 4696, 7838, 29706, 13993, 2975, 590, 29558, 5357, 667, 7838, 294, 4338, 7838, 28217, 5174, 302, 19181, 12327, 4456, 2562, 3582, 281, 476, 1708, 271, 476, 2641, 14160, 19798, 281, 2473, 29376, 292, 281, 476, 274, 15679, 590, 18510, 297, 17614, 2433, 13878, 30388, 263, 24092, 264, 29482, 281, 476, 3199, 4937, 27491, 281, 476, 272, 269, 901, 2243, 1957, 3568, 1079, 851, 589, 543, 645, 269, 476, 273, 269, 5637, 851, 589, 543, 851, 645, 723, 4835, 5079, 269, 3487, 589, 281, 476, 272, 269, 898, 5161, 540, 1079, 6810, 594, 543, 4083, 269, 476, 273, 269, 8791, 594, 814, 476, 1626, 2243, 540, 476, 272, 1665, 1142, 269, 18378, 3903, 568, 3177, 538, 476, 276, 2055, 269, 476, 274, 269, 8791, 4083, 814, 476, 275, 2055, 593, 2013, 1353, 269, 3962, 2013, 1353, 814, 476, 276, 2013, 2861, 1016, 1790, 11301, 269, 1323, 4983, 324, 568, 547, 3801, 1022, 476, 275, 856, 540, 476, 276, 1016, 1790, 11301, 269, 3487, 645, 281, 476, 272, 269, 7726, 3143, 269, 476, 2641, 547, 476, 2918, 616, 1360, 2110, 2626, 1826, 2055, 540, 476, 273, 1665, 1142, 269, 476, 273, 269, 7726, 3143, 269, 2767, 547, 476, 3451, 616, 2110, 2626, 1826, 2055, 540, 476, 274, 7436, 1142, 269, 476, 274, 269, 7726, 3143, 4097, 547, 476, 3607, 616, 1279, 2626, 1826, 2055, 540, 476, 276, 7436, 1142, 269, 476, 275, 269, 18378, 3903, 568, 3177, 538, 476, 273, 2055, 540, 476, 273, 7436, 2073, 273, 2055, 540, 476, 274, 7436, 543, 476, 272, 2243, 540, 476, 276, 7436, 269, 3487, 589, 8791, 268, 272, 8791, 476, 272, 814, 476, 1626, 2055, 540, 476, 272, 1665, 1142, 269, 18378, 3903, 568, 3177, 538, 476, 276, 2055, 269, 476, 272, 269, 2991, 875, 1082, 4025, 8918, 7269, 540, 519, 7787, 1297, 786, 2165, 3729, 286, 10758, 3503, 519, 8918, 7269, 540, 476, 273, 269, 1403, 519, 2040, 540, 519, 21325, 540, 519, 13392, 9971, 737, 343, 273, 1341, 476, 273, 343, 266, 274, 330, 568, 3160, 547, 519, 1587, 540, 922, 21325, 1287, 1265, 519, 1871, 540, 737, 269, 476, 274, 269, 4855, 519, 1871, 540, 737, 585, 799, 519, 1739, 6292, 540, 5276, 4834, 723, 28222, 1082, 3435, 281, 476, 273, 343, 266, 274, 344, 815, 476, 278, 2073, 630, 330, 476, 272, 32589, 1341, 630, 330, 266, 273, 264, 344, 815, 476, 274, 330, 269, 476, 275, 269, 634, 3017, 1063, 1079, 2338, 568, 476, 2918, 543, 835, 1297, 568, 1614, 2053, 519, 824, 269, 4855, 519, 2338, 269, 476, 272, 692, 16665, 1763, 303, 3639, 454, 23048, 4147, 476, 1015, 2776, 8274, 476, 1708, 272, 2433, 9119, 9978, 910, 5590, 476, 272, 630, 290, 18778, 13323, 19300, 3736, 320, 1627, 20345, 3848, 267, 1684, 3873, 264, 676, 524, 321, 572, 1015, 318, 2181, 318, 15236, 23048, 4147, 476, 1015, 2776, 8274, 476, 1708, 275, 2433, 9119, 630, 25911, 23819, 553, 28626, 3427, 267, 7754, 760, 520, 264, 676, 9279, 334, 3199, 23048, 4147, 476, 1015, 2776, 8274, 476, 1708, 275, 2433, 9119, 630, 14106, 9366, 5174, 9618, 10620, 2160, 267, 16114, 514, 1731, 564, 534, 267, 12157, 20580, 264, 676, 606, 340, 329, 1708, 274, 23048, 4147, 476, 1015, 2776, 8274, 476, 1708, 272, 2433, 9119, 630, 305, 269, 645, 269, 918, 269, 3427, 630, 305, 289, 298, 1070, 21001, 10003, 264, 676, 917, 1194, 1326, 872, 2641, 692, 26705, 1154, 2985, 27250, 26705, 1154, 2985, 27250, 26705, 1154, 2985, 27250, 26705, 1154, 2985, 27250, 26705, 1154, 2985, 27250, 26705, 1154, 2985, 27250, 26705, 1154, 2985, 27250, 21206, 27084, 2433, 23048, 4147, 476, 1015, 11929, 476, 1708, 271, 2433, 9119, 454, 30475, 2433, 23048, 4147, 476, 1015, 11929, 476, 1708, 271, 2433, 9119, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 454, 5814, 1225, 4513, 454, 5814, 1225, 4513, 269, 3667, 25247, 7531, 3698, 15837, 263, 3316, 11446, 10547, 2187, 825, 5727, 595, 2720, 525, 568, 6417, 689, 1934, 563, 1038, 901, 1522, 581, 1572, 1412, 1492, 8520, 262, 538, 513, 3014, 780, 1038, 3014, 8520, 281, 5291, 2517, 326, 600, 788, 5766, 1090, 2719, 335, 16993, 2593, 17320, 877, 2000, 17274, 11258, 454, 825, 29185, 825, 1225, 4513, 269, 3667, 25247, 269, 5550, 4120, 263, 3316, 11446, 10547, 267, 271, 267, 271, 267, 1015, 267, 1015, 2020, 825, 1883, 12304, 815, 703, 4590, 825, 1948, 476, 13647, 568, 519, 27608, 1412, 336, 262, 1883, 563, 825, 1247, 1883, 12304, 11203, 476, 13647, 912, 1038, 1883, 12304, 815, 20397, 10547, 10947, 577, 4590, 1038, 1820, 1225, 4513, 269, 9417, 337, 331, 263, 651, 2988, 816, 1070, 1883, 12304, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 8173, 825, 634, 12319, 585, 1225, 4513, 9884, 571, 3899, 263, 283, 325, 15635, 285, 264, 568, 1934, 281, 22322, 1038, 4179, 2517, 25269, 338, 4877, 3155, 3820, 270, 273, 15828, 3869, 270, 2017, 4513, 11258, 258, 2017, 4513, 9884, 571, 3899, 692, 1038, 1948, 6969, 10912, 1292, 267, 1225, 4513, 9884, 571, 3899, 9852, 664, 2567, 3097, 2018, 7140, 593, 524, 19874, 7154, 267, 3097, 2018, 7140, 1055, 16079, 267, 3097, 2018, 6087, 519, 12363, 1883, 25247, 267, 543, 3097, 2018, 3355, 3278, 4778, 952, 519, 12363, 814, 2681, 1489, 269, 3097, 1038, 1948, 2201, 14827, 630, 31347, 7363, 610, 676, 9868, 264, 621, 912, 2018, 1964, 2803, 11273, 7154, 267, 3097, 2018, 7140, 593, 16079, 267, 543, 3097, 2018, 771, 1963, 519, 12363, 1883, 25247, 563, 8931, 825, 634, 12109, 3899, 1599, 568, 8429, 513, 6885, 883, 1292, 269, 6301, 568, 3989, 1657, 454, 825, 607, 2921, 835, 4661, 269, 476, 2334, 4661, 568, 519, 6885, 269, 1284, 1223, 849, 2012, 454, 825, 621, 19337, 780, 825, 8173, 825, 1948, 1225, 4513, 9884, 571, 3899, 9852, 664, 264, 1948, 513, 811, 3978, 2012, 585, 519, 1292, 1599, 454, 825, 1225, 4513, 9884, 571, 3899, 9638, 582, 6737, 264, 1948, 855, 1289, 519, 1599, 8726, 596, 1616, 267, 1775, 1572, 621, 15837, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6092, 5149, 281, 18207, 1014, 13458, 6713, 692, 8702, 547, 938, 3408, 540, 519, 4241, 1158, 540, 2797, 2257, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 513, 7415, 2680, 910, 519, 18207, 1014, 13458, 6713, 269, 901, 1650, 3217, 721, 1394, 547, 513, 942, 950, 21896, 5185, 835, 540, 922, 7887, 2591, 2943, 281, 513, 1279, 18835, 4655, 609, 11439, 31111, 2516, 269, 1809, 1810, 1405, 5855, 267, 713, 3884, 1405, 1175, 827, 6214, 282, 972, 616, 12703, 12325, 267, 9670, 24816, 267, 543, 1256, 930, 3579, 5389, 596, 1522, 1265, 4277, 256, 1924, 10544, 707, 31940, 267, 2828, 267, 1317, 1934, 649, 979, 2439, 5575, 1055, 267, 1577, 781, 4952, 21896, 607, 513, 5458, 13621, 1494, 4904, 609, 3309, 2950, 269, 3807, 899, 1022, 824, 1747, 267, 21896, 814, 1185, 922, 4023, 2671, 540, 22195, 543, 21390, 1851, 891, 2189, 2516, 269, 1717, 267, 1919, 3893, 7294, 1282, 519, 476, 3422, 271, 338, 950, 3532, 31111, 3906, 3323, 8165, 1996, 519, 2229, 267, 4929, 5756, 540, 5208, 267, 4250, 267, 543, 7092, 269, 16319, 7920, 267, 1318, 286, 4270, 267, 3180, 5196, 707, 10160, 10964, 1206, 267, 1317, 1934, 2501, 519, 11121, 851, 13718, 1103, 2487, 1296, 267, 1082, 29752, 3401, 22283, 909, 547, 1689, 713, 3510, 269, 1358, 5249, 2182, 547, 1711, 513, 811, 12560, 1604, 1141, 3025, 1223, 2661, 25747, 543, 9108, 269, 2290, 540, 873, 729, 5518, 20844, 2494, 3241, 16114, 657, 945, 4956, 547, 1694, 1524, 609, 519, 30280, 543, 21907, 4708, 21308, 269, 2052, 596, 3494, 789, 2965, 14437, 998, 741, 2042, 3079, 540, 759, 15659, 547, 5208, 26834, 2334, 3576, 513, 2603, 540, 575, 7491, 2439, 3086, 267, 3314, 594, 5018, 1945, 827, 11544, 4505, 286, 4270, 267, 602, 1523, 5129, 513, 1713, 1909, 538, 2679, 3972, 1063, 20849, 6105, 269, 4658, 3459, 14120, 1018, 2306, 1142, 2146, 2027, 1247, 849, 12423, 3838, 2418, 543, 9821, 269, 8535, 2968, 606, 1898, 1907, 585, 9322, 1107, 4952, 6947, 547, 2757, 26107, 16471, 3979, 18819, 267, 5053, 23964, 267, 543, 7087, 7405, 256, 27355, 1405, 602, 5863, 2496, 8170, 1576, 267, 8236, 4708, 7012, 1405, 2653, 890, 6470, 11993, 17065, 5414, 269, 3509, 9465, 11542, 538, 741, 1259, 267, 1519, 2620, 5498, 730, 5134, 6412, 267, 5571, 3075, 19338, 2152, 267, 543, 29886, 32659, 269, 16480, 267, 8990, 543, 5876, 3366, 1312, 5011, 4724, 11650, 5466, 1346, 4145, 269, 1280, 1383, 267, 5449, 25881, 4121, 1007, 1983, 971, 607, 8105, 610, 23477, 865, 789, 1223, 3565, 9797, 547, 2486, 269, 1215, 15813, 568, 602, 2496, 2026, 596, 666, 1294, 267, 519, 18207, 1014, 13458, 6713, 568, 1454, 811, 982, 1175, 14761, 19142, 4574, 269, 898, 3322, 4948, 1004, 4947, 1927, 5103, 741, 3604, 267, 1565, 689, 835, 1776, 267, 543, 2870, 513, 1732, 2104, 269, 1656, 7058, 1018, 286, 1411, 1932, 723, 519, 1379, 547, 6536, 10103, 1369, 707, 1378, 10580, 256, 1635, 18245, 1866, 262, 5380, 543, 5275, 1455, 2666, 267, 596, 1831, 606, 5605, 26513, 540, 4708, 16382, 596, 979, 780, 3383, 1985, 942, 2576, 19528, 21896, 267, 2995, 873, 23217, 827, 519, 6909, 3460, 789, 24389, 2390, 2509, 4708, 269, 11559, 873, 547, 6432, 547, 930, 524, 3518, 807, 2575, 630, 527, 3513, 1205, 741, 3952, 3001, 14386, 543, 6148, 8141, 7391, 827, 8508, 4763, 269, 2991, 782, 267, 1620, 543, 19825, 938, 3604, 568, 1883, 547, 2713, 32069, 538, 713, 4190, 267, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8072, 31142, 685, 3013, 568, 513, 3148, 9112, 538, 513, 2796, 540, 11440, 15180, 1845, 543, 13882, 827, 875, 547, 1628, 2048, 19640, 685, 6082, 602, 1500, 621, 606, 2048, 1278, 3013, 685, 3982, 689, 2048, 17951, 5979, 685, 3013, 269, 20780, 532, 1927, 1004, 1510, 3105, 3140, 3346, 267, 519, 4763, 540, 922, 7239, 543, 4529, 729, 2799, 676, 519, 1098, 520, 23007, 10553, 4123, 543, 2663, 2518, 11776, 269, 8490, 593, 519, 16268, 2078, 602, 1915, 2478, 519, 13218, 1063, 8739, 14426, 19795, 543, 1686, 538, 519, 3148, 2221, 267, 713, 7127, 11828, 3604, 538, 7810, 1894, 543, 2686, 5872, 1063, 3864, 267, 6805, 267, 543, 25812, 6441, 11294, 1977, 1004, 538, 1114, 2477, 543, 519, 1909, 540, 10236, 5505, 538, 4182, 20671, 3785, 602, 6322, 547, 4020, 3084, 9163, 1472, 2048, 332, 30480, 9957, 898, 2982, 875, 10236, 5505, 3357, 547, 3746, 1047, 519, 3742, 1909, 540, 1016, 867, 3990, 1514, 2516, 538, 1818, 5824, 3013, 779, 2048, 2908, 9082, 9957, 654, 7655, 989, 337, 4115, 7526, 543, 2244, 15024, 3812, 9840, 827, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8624, 4861, 1014, 13458, 6713, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 2622, 1315, 12144, 1299, 5824, 1977, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 634, 10554, 4055, 18388, 539, 609, 10761, 607, 519, 2359, 2319, 693, 769, 7224, 24728, 5941, 519, 19175, 540, 7598, 513, 2816, 9328, 12976, 1982, 269, 8861, 267, 519, 2212, 540, 15679, 267, 729, 13730, 827, 519, 2856, 269, 968, 1607, 568, 4010, 1018, 649, 991, 547, 6536, 2208, 543, 5698, 1851, 938, 6887, 2223, 1352, 1767, 780, 3719, 711, 3025, 3838, 1200, 15131, 269, 10793, 267, 519, 18435, 302, 267, 6659, 1010, 4145, 269, 968, 296, 1174, 519, 2640, 267, 855, 723, 596, 2808, 519, 1942, 286, 3502, 1152, 798, 649, 1981, 9561, 3407, 11327, 3108, 267, 855, 972, 786, 849, 581, 1713, 9276, 3238, 538, 4259, 909, 713, 1982, 14325, 27880, 21330, 267, 14344, 1010, 1448, 269, 968, 8133, 267, 594, 917, 621, 781, 606, 5092, 269, 1809, 1589, 827, 519, 1279, 3856, 7024, 910, 4824, 9441, 9547, 267, 1732, 3444, 1922, 23341, 1620, 267, 543, 6038, 2799, 5647, 543, 20656, 14325, 19602, 267, 14667, 267, 513, 19023, 3301, 11653, 267, 2893, 23900, 6947, 547, 519, 7521, 269, 2701, 1185, 1044, 851, 540, 2147, 7341, 1354, 543, 6785, 20250, 875, 6225, 789, 1223, 581, 269, 1717, 267, 1352, 849, 15422, 519, 25354, 269, 1306, 519, 6643, 5828, 2509, 4466, 5078, 23003, 267, 1352, 4956, 547, 3717, 909, 780, 2108, 23804, 8348, 543, 5827, 23003, 1522, 10460, 811, 540, 513, 4161, 982, 596, 18783, 2223, 14667, 19230, 269, 968, 2005, 3340, 7029, 267, 9639, 267, 543, 5140, 2792, 1983, 269, 9578, 267, 1004, 2907, 5104, 31227, 5230, 24913, 338, 949, 1294, 713, 607, 3773, 2604, 2864, 982, 606, 4316, 14325, 15463, 1913, 5641, 513, 4090, 776, 1350, 7112, 936, 519, 4055, 2394, 25272, 267, 1776, 8257, 1291, 267, 6700, 789, 1711, 15314, 585, 1346, 945, 8067, 1229, 547, 1831, 23003, 269, 901, 17275, 2417, 4901, 1472, 6284, 1949, 543, 4876, 13120, 3255, 13615, 547, 3811, 29013, 2833, 780, 2026, 519, 5870, 16668, 547, 513, 2673, 267, 835, 2063, 3390, 3357, 547, 1769, 269, 13751, 25129, 8751, 12006, 519, 2956, 540, 4509, 22637, 1282, 891, 15377, 269, 589, 17277, 5346, 1934, 1223, 1291, 547, 3978, 3656, 29298, 269, 1261, 6069, 11826, 2866, 7886, 2519, 593, 7834, 10873, 543, 5683, 2932, 1282, 2816, 20224, 780, 8601, 519, 23665, 267, 519, 1895, 2451, 519, 5870, 5462, 547, 10994, 1142, 4161, 18928, 269, 1358, 7691, 602, 1247, 10962, 513, 2816, 9328, 12976, 1982, 7012, 1405, 2469, 547, 581, 2653, 267, 621, 16219, 10373, 12587, 952, 13401, 24617, 543, 23939, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 616, 930, 1761, 19363, 610, 2591, 540, 7598, 513, 2816, 9328, 12976, 1982, 888, 272, 269, 25841, 7607, 281, 16763, 9328, 12976, 666, 581, 942, 21791, 267, 3056, 547, 4389, 7607, 607, 5520, 6108, 942, 11287, 1866, 3079, 540, 2324, 593, 741, 1378, 4247, 780, 273, 269, 4400, 3790, 281, 16763, 9328, 12976, 3292, 666, 581, 7199, 547, 1020, 543, 2936, 267, 2523, 952, 789, 4125, 2951, 610, 17849, 3606, 5234, 547, 1489, 519, 1982, 780, 274, 269, 17290, 8244, 540, 23003, 281, 898, 666, 581, 2352, 547, 1265, 2614, 23003, 945, 616, 8348, 543, 2111, 547, 7119, 538, 519, 1982, 780, 275, 269, 30975, 538, 7893, 1764, 281, 898, 666, 581, 4101, 547, 2268, 519, 1764, 540, 2816, 9328, 12976, 593, 9441, 1646, 543, 2773, 267, 799, 666, 1118, 621, 2352, 547, 17854, 519, 5092, 780, 276, 269, 2598, 8306, 547, 3232, 4238, 281, 16763, 9328, 12976, 666, 7519, 519, 3339, 2095, 540, 960, 267, 2523, 952, 23003, 610, 9328, 12976, 5171, 616, 711, 5265, 8036, 543, 5423, 585, 519, 1995, 780, 277, 269, 15783, 585, 22637, 23563, 281, 1403, 521, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 17138, 281, 589, 18043, 6651, 547, 19793, 1324, 10281, 1886, 4577, 30839, 11773, 692, 7072, 281, 3097, 22134, 1886, 9582, 568, 606, 5499, 1505, 540, 3395, 2371, 1510, 3037, 676, 1210, 7777, 8770, 3435, 538, 513, 1216, 19857, 269, 901, 4480, 2636, 585, 5021, 1852, 936, 519, 2208, 2175, 540, 707, 2371, 267, 3056, 547, 5488, 2208, 543, 2362, 11729, 269, 1717, 267, 19558, 4577, 8023, 3340, 6297, 3007, 547, 1469, 607, 1022, 3765, 21163, 666, 1291, 547, 29070, 4539, 269, 3371, 781, 938, 10700, 3391, 547, 2327, 19558, 4577, 8023, 1967, 2439, 3721, 476, 272, 281, 13760, 2659, 7233, 781, 715, 26798, 20126, 454, 17843, 2371, 723, 1114, 9422, 4170, 269, 3194, 827, 519, 1808, 2030, 2249, 596, 616, 14237, 547, 1174, 922, 9063, 13283, 267, 2837, 2039, 267, 1769, 10421, 267, 543, 4998, 8770, 5834, 269, 1280, 3236, 267, 1034, 5388, 8853, 693, 513, 9063, 1063, 476, 277, 269, 271, 910, 476, 277, 269, 276, 1247, 5613, 4782, 5594, 15755, 5054, 1472, 476, 276, 269, 276, 910, 476, 277, 269, 271, 780, 7659, 17785, 281, 11408, 1376, 609, 1447, 13671, 5567, 543, 7930, 2333, 1759, 593, 707, 8343, 540, 519, 2030, 781, 1072, 269, 3683, 16567, 666, 581, 1175, 607, 5739, 607, 896, 16567, 780, 3721, 476, 273, 281, 7994, 634, 9406, 7392, 2986, 715, 22021, 8827, 454, 2467, 616, 1079, 2010, 540, 19558, 4577, 5567, 281, 5277, 543, 32314, 3029, 269, 28966, 3283, 616, 2907, 6404, 543, 4712, 547, 946, 855, 949, 2154, 811, 4859, 2230, 1813, 547, 741, 3677, 4320, 829, 1770, 540, 8770, 4222, 3379, 547, 32314, 1106, 269, 18120, 29963, 5567, 991, 11544, 1354, 6165, 267, 5356, 8112, 538, 2688, 1944, 9830, 855, 8506, 3063, 4674, 543, 8856, 780, 28223, 281, 17859, 540, 799, 1826, 596, 3442, 267, 2141, 1904, 585, 1164, 7779, 2472, 689, 18019, 9755, 602, 8597, 4481, 547, 19558, 9582, 269, 1358, 786, 1683, 7059, 12753, 540, 1898, 2609, 899, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 11379, 630, 298, 1070, 7513, 630, 25519, 1070, 13101, 630, 300, 326, 1070, 16247, 630, 306, 1070, 4401, 630, 8722, 1070, 22670, 630, 300, 333, 1070, 13058, 630, 313, 333, 1070, 7601, 630, 290, 340, 1070, 18664, 517, 630, 289, 1070, 544, 8432, 321, 6577, 636, 630, 27770, 1070, 543, 3006, 19695, 630, 301, 328, 6393, 3721, 476, 274, 281, 16259, 2659, 4826, 11905, 454, 307, 777, 1216, 1419, 3568, 20841, 610, 8392, 26952, 1031, 585, 771, 26529, 5301, 269, 1452, 6464, 1223, 2800, 6225, 4551, 543, 14471, 2556, 585, 2635, 3597, 10851, 269, 4475, 267, 1577, 7148, 1216, 1694, 20114, 585, 476, 2190, 3108, 865, 891, 7135, 18493, 622, 856, 6923, 269, 17968, 267, 2015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3032, 659, 558, 2125, 568, 11603, 585, 519, 9723, 2125, 540, 1453, 267, 543, 972, 616, 2592, 540, 11146, 543, 623, 1910, 3832, 13269, 607, 1453, 11303, 676, 27536, 23598, 563, 268, 9736, 530, 322, 885, 2593, 476, 1001, 274, 454, 16485, 513, 2199, 827, 9697, 659, 558, 2125, 540, 853, 269, 12358, 527, 8759, 630, 29272, 659, 558, 2041, 1019, 5842, 12358, 527, 8759, 264, 299, 665, 1023, 723, 12943, 476, 10204, 2055, 827, 7507, 563, 16485, 7507, 16511, 1023, 827, 9697, 659, 558, 2125, 540, 853, 269, 12358, 527, 8759, 630, 29272, 659, 558, 2041, 1019, 5842, 12358, 527, 8759, 994, 268, 15020, 4400, 569, 30318, 476, 1220, 280, 454, 268, 15020, 4400, 569, 30318, 476, 1001, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 306, 24678, 4987, 630, 9590, 264, 568, 28889, 9934, 519, 2923, 31858, 4821, 267, 1142, 585, 1344, 3906, 543, 6300, 11825, 269, 29393, 899, 19208, 267, 645, 731, 267, 543, 29078, 3642, 616, 3384, 1007, 8458, 547, 4217, 2328, 543, 3343, 585, 1344, 267, 2705, 538, 1840, 789, 12740, 5837, 2152, 563, 3080, 540, 519, 4105, 14849, 2055, 585, 1344, 3906, 568, 2436, 610, 711, 6300, 11825, 786, 723, 547, 1451, 2899, 789, 1451, 513, 9661, 2813, 610, 609, 519, 6351, 540, 1210, 10991, 4987, 269, 2368, 267, 1175, 899, 519, 5108, 4012, 853, 5962, 543, 519, 18917, 267, 2907, 798, 602, 267, 2705, 1114, 2923, 15945, 1810, 1406, 563, 2467, 616, 6266, 540, 7440, 585, 543, 2509, 12607, 3151, 713, 2186, 540, 1239, 563, 5575, 267, 621, 1223, 4217, 581, 1978, 602, 11413, 543, 5539, 269, 19255, 11825, 786, 723, 547, 1174, 875, 519, 3330, 3950, 789, 4019, 568, 3812, 267, 543, 786, 723, 547, 581, 5827, 547, 1118, 18164, 8925, 827, 2436, 610, 711, 547, 3858, 609, 621, 610, 1631, 711, 563, 273, 526, 267, 12607, 3151, 1239, 666, 4217, 11574, 519, 4960, 540, 9186, 269, 3642, 2409, 616, 9952, 519, 946, 540, 1702, 267, 543, 602, 1702, 666, 21613, 519, 12886, 540, 519, 2043, 945, 2813, 621, 269, 5221, 540, 713, 267, 3642, 24378, 1543, 1570, 1522, 1102, 18526, 581, 21678, 269, 3414, 8506, 23930, 267, 6300, 11825, 786, 581, 5827, 547, 11760, 713, 798, 762, 9186, 543, 1491, 621, 896, 7156, 950, 9236, 1239, 563, 274, 6113, 267, 23930, 666, 4217, 2709, 4027, 547, 6300, 11825, 689, 632, 21082, 1239, 269, 3642, 2409, 666, 581, 8246, 547, 5352, 27642, 1344, 267, 1818, 621, 9157, 585, 6300, 11825, 547, 16174, 1063, 9758, 543, 535, 14513, 1344, 269, 3414, 8506, 23930, 267, 6300, 11825, 786, 581, 5827, 547, 581, 3063, 26617, 540, 3642, 24378, 1543, 1570, 267, 543, 616, 1454, 811, 2693, 547, 1118, 2386, 621, 6619, 540, 4687, 621, 563, 1103, 11685, 547, 23930, 454, 3080, 4250, 568, 602, 621, 779, 2469, 547, 588, 604, 548, 5647, 269, 1403, 1344, 3906, 616, 2838, 547, 16616, 1142, 942, 789, 946, 3642, 267, 789, 1223, 849, 581, 1454, 1447, 12155, 547, 4603, 609, 519, 5108, 563, 3080, 811, 2601, 568, 602, 23930, 1223, 849, 581, 7294, 547, 6300, 11825, 269, 3143, 3476, 16764, 17358, 875, 10991, 4987, 1568, 269, 2368, 824, 1004, 1223, 849, 581, 26617, 827, 3642, 24378, 1543, 1570, 269, 10671, 3931, 23930, 1522, 1118, 621, 9875, 585, 6300, 11825, 547, 1205, 519, 4808, 789, 1616, 563, 1692, 949, 2152, 1847, 888, 8266, 539, 2630, 616, 930, 1806, 585, 3236, 1346, 2152, 912, 14582, 10079, 513, 1344, 1895, 519, 946, 540, 3642, 547, 6208, 1483, 6066, 1249, 19295, 9535, 543, 2638, 6898, 1500, 676, 1259, 540, 1857, 5515, 782, 519, 1259, 998, 21078, 14026, 267, 13380, 547, 2797, 9840, 610, 2046, 11401, 269, 634, 3642, 3684, 666, 13713, 3313, 9073, 543, 3761, 5304, 609, 2953, 1239, 538, 9758, 942, 563, 21446, 8271, 267, 952, 513, 1344, 1895, 568, 2877, 547, 16616, 1210, 3642, 1142, 942, 267, 713, 1522, 1267, 538, 11688, 2787, 538, 11766, 532, 519, 4990, 540, 6293, 269, 19634, 333, 540, 1857, 3661, 543, 798, 762, 1394, 31988, 949, 4688, 596, 2923, 15945, 689, 16107, 3642, 547, 12927, 519, 6111, 538, 741, 8989, 267, 538, 519, 1439, 14145, 1516, 519, 2489, 1857, 540, 513, 1726, 25979, 8502, 563, 12179, 824, 1533, 540, 12602, 2501, 547, 3642, 2861, 2123, 2213, 1344, 1225, 566, 269, 3509, 1344, 5867, 946, 10991, 4987, 6620, 547, 2123, 1125, 1344, 1543, 1570, 547, 3514, 3988, 685, 1268, 2123, 16919, 267, 1818, 2386, 789, 3489, 1239, 602, 13352, 741, 18697, 563, 2252, 1344, 3906, 616, 25997, 547, 16616, 1210, 3642, 593, 713, 2796, 267, 3988, 1522, 1020, 883, 18762, 540, 9228, 12879, 269, 901, 5855, 1522, 15658, 2923, 15945, 689, 1818, 606, 5092, 538, 3642, 2861, 2123, 1436, 267, 28142, 741, 13007, 547, 2170, 543, 11677, 9458, 538, 606, 5051, 811, 10728, 2923, 31858, 4821, 563, 2414, 11574, 1346, 12178, 267, 12326, 1175, 899, 519, 1715, 3840, 2382, 1734, 581, 5356, 968, 22519, 2331, 676, 6050, 892, 602, 2097, 609, 3063, 1344, 827, 519, 1007, 3333, 2432, 538, 519, 1394, 540, 519, 8941, 543, 1344, 827, 875, 519, 9661, 1031, 547, 581, 3812, 563, 1103, 519, 1439, 267, 519, 2357, 18743, 2436, 610, 711, 610, 547, 711, 3406, 23930, 568, 513, 16681, 835, 563, 21446, 8271, 267, 621, 568, 1360, 1271, 547, 723, 513, 1857, 13972, 538, 713, 3815, 538, 1931, 602, 649, 786, 2333, 6142, 4507, 602, 2709, 4027, 547, 6300, 11825, 267, 14441, 18177, 19761, 267, 543, 1491, 1416, 540, 543, 27162, 1156, 3858, 609, 538, 19761, 267, 799, 568, 19394, 538, 930, 6082, 563, 26589, 609, 23930, 267, 972, 616, 1114, 2152, 1344, 3906, 666, 798, 547, 1118, 2386, 3642, 568, 1031, 31719, 543, 19100, 269, 1358, 786, 723, 547, 2697, 12001, 4388, 585, 1210, 10991, 4987, 269, 8409, 4388, 786, 723, 547, 4308, 609, 2042, 13380, 547, 9186, 267, 11413, 543, 5539, 269, 1358, 786, 723, 547, 2322, 2724, 883, 18006, 543, 2866, 585, 1010, 610, 1200, 4600, 269, 1715, 3333, 2432, 6999, 547, 917, 519, 1259, 3642, 1568, 543, 2653, 2409, 547, 946, 621, 19100, 563, 1103, 19220, 540, 3388, 267, 1344, 3906, 786, 723, 547, 10367, 609, 18164, 6887, 899, 12370, 779, 15281, 17507, 6997, 267, 519, 3283, 5665, 538, 3795, 267, 5108, 14078, 267, 543, 3610, 267, 547, 2333, 5837, 4170, 585, 1210, 3642, 543, 4308, 609, 8375, 2042, 799, 616, 4105, 547, 519, 1259, 4464, 585, 1857, 2250, 830, 1344, 563, 8794, 3642, 3937, 538, 1344, 568, 513, 1360, 3532, 2679, 269, 898, 568, 1360, 1271, 547, 723, 513, 2015, 622, 543, 18164, 13972, 538, 14621, 547, 519, 798, 762, 5383, 543, 12178, 540, 713, 5108, 269, 3414, 5665, 538, 4999, 267, 649, 786, 1118, 2386, 602, 3642, 568, 8246, 538, 930, 1259, 602, 5713, 519, 2489, 1857, 2250, 830, 543, 15081, 9529, 519, 2418, 540, 18177, 19761, 563, 3849, 1203, 547, 13972, 454, 1607, 1257, 568, 1065, 21242, 689, 634, 12480, 690, 9944, 513, 769, 2102, 1190, 12780, 12689, 269, 6258, 519, 2189, 2376, 563, 1492, 10839, 281, 18771, 519, 2923, 1217, 596, 950, 789, 2461, 519, 946, 540, 3642, 547, 3758, 1344, 286, 1548, 19255, 11825, 18771, 5700, 630, 1708, 274, 267, 5437, 476, 1428, 264, 8158, 5437, 476, 1428, 267, 476, 1708, 274, 689, 454, 1607, 2594, 568, 2339, 547, 10677, 269, 1717, 1022, 9237, 7231, 585, 519, 2832, 540, 2123, 1451, 827, 610, 2079, 267, 1100, 3296, 1223, 849, 581, 25735, 609, 856, 2854, 10479, 269, 634, 1543, 1570, 568, 13859, 585, 21141, 3252, 14724, 269, 0, 303, 3949, 267, 15302, 543, 1284, 539, 5004, 540, 18771, 731, 454, 763, 1455, 3676, 543, 10860, 540, 6519, 18771, 731, 616, 2016, 2630, 912, 293, 548, 320, 22404, 630, 303, 1506, 961, 582, 516, 3279, 24094, 2567, 8479, 2371, 616, 3226, 11630, 547, 7904, 320, 27134, 28383, 267, 2523, 538, 4525, 1141, 789, 616, 513, 11342, 3390, 269, 1452, 6263, 10860, 1711, 1507, 9475, 610, 29365, 538, 519, 3762, 540, 519, 2371, 267, 799, 666, 3648, 3441, 741, 2949, 1072, 269, 1677, 2149, 707, 7031, 689, 7904, 320, 22404, 267, 1896, 3800, 666, 581, 3144, 912, 268, 25109, 4221, 281, 16792, 22890, 1472, 519, 3490, 540, 519, 2371, 666, 1683, 513, 2168, 11064, 543, 2569, 519, 8458, 540, 7904, 320, 22404, 8757, 519, 3762, 563, 268, 570, 1905, 15867, 1186, 281, 31896, 15972, 7031, 602, 4482, 7904, 320, 22404, 2476, 689, 707, 1292, 7693, 666, 948, 2149, 707, 3407, 2371, 563, 268, 24538, 15969, 281, 6333, 1210, 5521, 15969, 4481, 2966, 547, 1852, 7904, 320, 22404, 267, 855, 798, 865, 538, 13076, 609, 5227, 4808, 543, 15416, 563, 290, 629, 12237, 589, 874, 1749, 630, 17954, 17771, 800, 928, 21567, 545, 2801, 320, 2567, 16410, 12237, 30293, 5631, 3049, 593, 16961, 26448, 2371, 267, 2705, 267, 789, 666, 849, 7639, 593, 2147, 18290, 2249, 269, 14066, 5095, 666, 6146, 519, 2371, 269, 1358, 666, 581, 2938, 3362, 593, 519, 3762, 543, 519, 2371, 1397, 25224, 539, 2208, 269, 1358, 666, 581, 15286, 676, 1210, 912, 268, 14484, 633, 25109, 2583, 281, 4635, 14436, 15273, 2583, 538, 707, 4610, 666, 771, 528, 1304, 30293, 543, 2569, 741, 2702, 547, 12398, 3984, 2371, 563, 268, 1763, 9665, 7352, 7724, 281, 6333, 9544, 22648, 8677, 602, 616, 1447, 11630, 547, 21428, 573, 28383, 563, 268, 24538, 15969, 281, 1403, 596, 616, 7231, 609, 513, 1713, 23588, 267, 596, 949, 991, 547, 946, 5521, 15969, 547, 1852, 22648, 30293, 267, 1739, 5227, 3498, 5773, 563, 19669, 12187, 281, 6519, 13219, 616, 6263, 7786, 602, 3049, 593, 2030, 18682, 543, 3132, 513, 20202, 6219, 1572, 9932, 323, 1168, 267, 799, 24643, 3109, 865, 582, 344, 9044, 269, 901, 666, 1291, 547, 5835, 532, 543, 27315, 1154, 540, 3762, 269, 1677, 2061, 3043, 12187, 28383, 912, 268, 24538, 15969, 281, 15233, 5521, 15969, 602, 616, 2500, 1996, 3043, 13219, 950, 2556, 267, 20170, 547, 1697, 6165, 4808, 563, 268, 1763, 9665, 7352, 7724, 281, 7994, 2030, 8677, 602, 723, 2067, 4187, 547, 3043, 13219, 563, 290, 629, 12237, 17848, 7395, 326, 582, 20573, 20782, 2234, 32337, 2567, 16410, 12237, 3597, 4012, 326, 1824, 2482, 741, 5798, 538, 519, 5072, 540, 2371, 267, 543, 741, 16793, 15993, 883, 519, 5072, 267, 4929, 27315, 1154, 1256, 950, 519, 2371, 723, 6190, 1216, 269, 1677, 2061, 543, 4383, 22648, 3597, 4012, 326, 582, 28383, 281, 4469, 334, 908, 18007, 3213, 951, 281, 2422, 13735, 4737, 6227, 547, 2061, 2937, 13733, 689, 18413, 741, 5798, 593, 519, 2030, 5072, 563, 268, 25109, 577, 281, 25109, 4221, 1472, 519, 3490, 540, 707, 2371, 666, 1711, 513, 2168, 11064, 602, 24115, 2471, 4212, 2000, 11691, 543, 7512, 2067, 11975, 899, 2666, 22404, 563, 268, 14117, 570, 1905, 21998, 281, 9255, 5835, 15972, 6486, 538, 707, 4610, 547, 7001, 2937, 13733, 543, 2569, 741, 2551, 563, 291, 3554, 1180, 3724, 631, 1054, 630, 5522, 583, 7578, 1535, 2643, 739, 749, 2567, 634, 16793, 540, 14776, 3724, 29700, 3049, 593, 1585, 2694, 540, 16961, 26448, 2371, 267, 1519, 3762, 267, 5810, 267, 543, 11710, 269, 1358, 666, 14816, 519, 3762, 1524, 547, 519, 15532, 952, 519, 2551, 568, 1804, 269, 1677, 4383, 14776, 3724, 29700, 912, 268, 7849, 2037, 12562, 281, 3852, 507, 1823, 11975, 899, 9980, 558, 2684, 628, 528, 2297, 13271, 267, 2481, 1088, 12961, 267, 543, 1978, 2666, 12961, 563, 268, 12019, 16661, 281, 27339, 3724, 29700, 616, 11630, 547, 4411, 4365, 267, 799, 666, 6146, 873, 1354, 789, 666, 2482, 5798, 563, 268, 24538, 15969, 281, 1403, 519, 23588, 3587, 4049, 267, 2015, 1210, 5521, 15969, 1739, 5227, 4808, 563, 306, 13406, 582, 27091, 6565, 4232, 630, 19669, 9044, 264, 590, 13406, 582, 27091, 521, 13406, 582, 1640, 636, 281, 590, 13406, 582, 27091, 6565, 4232, 568, 513, 16507, 2068, 6353, 676, 12150, 267, 683, 23145, 6776, 12457, 15087, 593, 3762, 543, 3043, 3766, 2001, 15087, 593, 11710, 269, 898, 666, 849, 1291, 547, 8519, 10540, 1305, 543, 519, 8840, 540, 6079, 10540, 338, 269, 1677, 2061, 543, 4383, 590, 13406, 582, 27091, 6565, 4232, 596, 666, 4019, 1165, 3511, 9033, 15969, 267, 4894, 11935, 267, 543, 946, 11259, 8677, 563, 291, 1144, 344, 7646, 1168, 630, 8110, 517, 30950, 320, 8934, 527, 3821, 2567, 13560, 344, 7646, 1168, 568, 513, 16507, 2068, 602, 3123, 12457, 880, 22554, 12150, 683, 23145, 6776, 9634, 593, 519, 3762, 2539, 2627, 269, 1677, 2061, 543, 4383, 1524, 344, 7646, 1168, 281, 898, 666, 581, 15286, 676, 11935, 8851, 267, 10047, 609, 1875, 1532, 14993, 545, 553, 267, 543, 3498, 540, 9033, 15969, 952, 2068, 2589, 616, 10423, 563, 19669, 15309, 630, 2704, 30132, 334, 4796, 5866, 2567, 6519, 15309, 267, 3361, 676, 513, 17343, 267, 568, 4857, 676, 3043, 27598, 5835, 11506, 533, 755, 2737, 593, 519, 3762, 602, 5555, 19597, 622, 883, 15649, 269, 1677, 2061, 543, 4383, 3043, 15309, 281, 898, 666, 581, 15286, 676, 15914, 7031, 282, 543, 9544, 2068, 15033, 5452, 543, 267, 952, 2068, 3587, 606, 3390, 267, 649, 666, 946, 513, 5078, 9033, 8336, 563, 19669, 6978, 5544, 630, 7069, 322, 2214, 320, 699, 12848, 1698, 8688, 2801, 2567, 6519, 6978, 5544, 267, 1776, 16507, 2068, 267, 2164, 538, 3043, 547, 12457, 6978, 9634, 602, 949 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 16338, 540, 5036, 6045, 609, 1806, 692, 9596, 543, 917, 1018, 568, 3017, 540, 5036, 286, 594, 4126, 596, 917, 1018, 568, 519, 2495, 540, 519, 2262, 3017, 286, 769, 6128, 3017, 1797, 12408, 269, 3767, 596, 949, 581, 3478, 513, 8969, 602, 875, 547, 10208, 519, 5036, 286, 1772, 621, 2009, 286, 8786, 2009, 649, 666, 1265, 856, 3017, 540, 5036, 780, 1103, 5036, 3184, 267, 649, 723, 930, 1271, 4238, 593, 5036, 899, 9769, 540, 5036, 267, 10167, 540, 5036, 267, 21136, 3017, 540, 5036, 267, 543, 538, 519, 1482, 1259, 649, 723, 3017, 540, 5036, 849, 269, 3767, 649, 786, 1451, 1018, 568, 621, 543, 875, 547, 1265, 621, 780, 1012, 9502, 540, 3017, 540, 1079, 5036, 1384, 4131, 595, 543, 667, 581, 519, 1022, 1079, 1875, 8900, 5036, 269, 3973, 519, 3017, 540, 1079, 5036, 1775, 4318, 269, 595, 5937, 568, 513, 1007, 1305, 799, 3568, 519, 2609, 540, 519, 1305, 595, 799, 616, 711, 538, 519, 1305, 667, 780, 7078, 476, 272, 1384, 290, 815, 2715, 273, 267, 476, 279, 267, 476, 6078, 267, 476, 6812, 267, 476, 10463, 267, 476, 2918, 267, 476, 4391, 348, 543, 667, 815, 2715, 1556, 267, 476, 2918, 267, 476, 1789, 267, 476, 6812, 267, 476, 10844, 10926, 290, 5937, 815, 2715, 476, 273, 267, 476, 279, 267, 476, 6078, 267, 476, 10463, 267, 476, 4391, 348, 1109, 476, 6812, 543, 476, 2918, 616, 711, 5018, 1317, 1346, 2609, 616, 538, 1305, 667, 849, 269, 1924, 649, 1058, 711, 2328, 269, 1284, 991, 547, 2328, 1152, 519, 2609, 540, 1305, 595, 799, 616, 711, 1459, 538, 1305, 667, 780, 7078, 476, 273, 1384, 292, 815, 2715, 320, 267, 562, 267, 524, 267, 552, 267, 521, 267, 530, 267, 1775, 348, 543, 674, 815, 2715, 326, 267, 562, 267, 579, 267, 522, 267, 533, 267, 530, 267, 1775, 10926, 292, 6363, 815, 2715, 320, 267, 524, 267, 552, 267, 521, 348, 607, 562, 267, 530, 267, 1775, 616, 1459, 538, 1305, 674, 267, 865, 649, 616, 711, 1603, 780, 7078, 476, 274, 1384, 311, 815, 2715, 1321, 267, 476, 6872, 267, 476, 5038, 267, 476, 272, 267, 476, 4343, 267, 476, 278, 348, 543, 962, 815, 2715, 278, 267, 476, 276, 267, 476, 1321, 267, 476, 5038, 267, 476, 2190, 267, 476, 280, 10926, 311, 25286, 815, 2715, 6872, 267, 476, 272, 267, 476, 4343, 348, 519, 2609, 476, 1321, 267, 476, 5038, 267, 476, 278, 616, 849, 1459, 538, 1305, 962, 865, 649, 616, 711, 1603, 780, 7078, 476, 275, 1384, 297, 815, 2715, 541, 822, 785, 267, 683, 3873, 267, 737, 597, 534, 267, 20662, 1415, 320, 267, 943, 8643, 348, 543, 918, 815, 2715, 309, 880, 20692, 267, 737, 597, 534, 267, 795, 11535, 267, 695, 656, 344, 267, 683, 3873, 267, 513, 9545, 785, 10926, 297, 11860, 815, 2715, 15442, 1415, 320, 267, 943, 8643, 10926, 28775, 3017, 540, 5036, 1523, 568, 2312, 269, 0, 528, 692, 8340, 1018, 596, 991, 547, 1353, 692, 23409, 692, 8340, 1018, 596, 991, 547, 1353, 692, 258, 476, 275, 269, 280, 26157, 15932, 25159, 692, 298, 1415, 320, 20961, 692, 297, 539, 2372, 26820, 527, 692, 298, 1415, 320, 20961, 692, 297, 539, 2372, 26820, 527, 692, 2005, 781, 1360, 3730, 547, 2981, 513, 676, 4946, 610, 18946, 513, 3586, 610, 14921, 610, 12270, 676, 513, 3586, 269, 901, 666, 948, 547, 14458, 9273, 610, 547, 1118, 519, 2164, 4443, 547, 4612, 269, 476, 16055, 494, 382, 509, 6893, 488, 382, 482, 692, 1607, 3296, 568, 827, 13321, 4351, 4632, 676, 4946, 4882, 889, 339, 24219, 610, 14921, 7933, 1204, 532, 676, 513, 3586, 269, 2311, 519, 1439, 540, 713, 3296, 267, 596, 3513, 917, 875, 547, 9192, 4351, 4632, 547, 5173, 543, 4612, 519, 543, 16317, 1012, 12430, 17992, 725, 540, 513, 15932, 24438, 692, 2691, 596, 2981, 513, 676, 4946, 610, 18946, 513, 3586, 267, 519, 543, 540, 519, 9927, 4756, 616, 849, 17146, 676, 519, 1482, 3586, 269, 1280, 1383, 267, 952, 596, 723, 513, 2073, 2473, 267, 609, 661, 11583, 264, 543, 12676, 11583, 1070, 543, 596, 2981, 621, 547, 513, 1007, 2073, 962, 267, 676, 4946, 513, 3586, 267, 524, 267, 547, 1142, 1871, 540, 2473, 267, 1287, 519, 543, 540, 962, 616, 2016, 676, 281, 24226, 480, 382, 508, 382, 499, 16055, 480, 382, 508, 382, 500, 692, 292, 263, 312, 264, 815, 661, 11583, 264, 1341, 524, 692, 16256, 263, 312, 264, 815, 12676, 11583, 2020, 20118, 267, 952, 596, 2981, 513, 676, 14921, 610, 12270, 621, 676, 513, 3586, 267, 519, 543, 540, 519, 9927, 4756, 616, 849, 16611, 610, 5258, 676, 519, 1482, 3586, 269, 1280, 1383, 267, 952, 596, 723, 513, 2073, 2473, 267, 609, 661, 11583, 264, 543, 12676, 11583, 1070, 543, 596, 2981, 621, 547, 513, 1007, 2073, 962, 267, 676, 14921, 1142, 1871, 540, 2473, 676, 513, 3586, 267, 524, 267, 1287, 519, 543, 540, 962, 616, 2016, 676, 281, 24226, 480, 382, 506, 382, 500, 16055, 493, 6893, 502, 382, 493, 16055, 480, 382, 508, 382, 501, 692, 292, 263, 312, 264, 815, 661, 11583, 264, 2608, 524, 692, 16256, 263, 312, 264, 815, 12676, 11583, 264, 2608, 524, 692, 312, 815, 513, 1341, 645, 311, 692, 2691, 596, 2981, 513, 676, 4946, 610, 18946, 513, 3586, 267, 621, 5540, 519, 3800, 540, 4099, 543, 4087, 267, 855, 621, 1281, 711, 1860, 519, 13260, 610, 519, 3337, 540, 519, 3892, 780, 2691, 596, 2981, 513, 676, 14921, 610, 12270, 621, 676, 513, 3586, 267, 621, 5540, 519, 3800, 540, 4099, 267, 4087, 267, 543, 13260, 267, 855, 621, 1281, 711, 1689, 519, 3337, 540, 519, 3892, 780, 2162, 1401, 4624, 10025, 540, 519, 5681, 270, 11795, 2397, 540, 5565, 15932, 25159, 692, 2005, 568, 849, 2009, 547, 9192, 1079, 610, 811, 4351, 4632, 547, 1711, 513, 1007, 1547, 1677, 5173, 519, 543, 540, 519, 5916, 2073, 596, 1131, 991, 547, 946, 519, 12596, 585, 519, 4397, 1871, 543, 540, 513, 5276, 4999, 540, 4351, 4632, 780, 2690, 1383, 267, 952, 596, 723, 1079, 4351, 4632, 267, 2473, 543, 962, 267, 609, 1797, 661, 11583, 264, 543, 661, 263, 312, 264, 543, 3044, 24017, 12676, 11583, 264, 543, 12676, 263, 312, 1070, 6606, 267, 543, 596, 1616, 547, 1711, 513, 1007, 2073, 2098, 267, 676, 4946, 873, 1927, 267, 1287, 519, 540, 2098, 568, 2016, 676, 1384, 292, 263, 313, 264, 815, 661, 11583, 264, 1341, 661, 263, 312, 2020, 2971, 12834, 692, 11764, 281, 1280, 1022, 1079, 4351, 4632, 2473, 543, 962, 267, 952, 590, 815, 2473, 1341, 962, 267, 519, 540, 590, 568, 590, 815, 2473, 1341, 962, 269, 10925, 3274, 267, 519, 540, 519, 2040, 540, 1079, 4351, 4632, 568, 3160, 547, 519, 2040, 540, 741, 1797, 269, 6893, 351, 692, 11795, 2397, 281, 1280, 1022, 1079, 4351, 4632, 2473, 543, 962, 267, 952, 667, 815, 2473, 910, 962, 267, 519, 540, 667, 568, 1611, 291, 815, 1611, 311, 910, 1611, 312, 269, 634, 540, 519, 3017, 540, 1079, 4351, 4632, 568, 3160, 547, 519, 3017, 540, 741, 1797, 269, 634, 1931, 540, 12408, 568, 1271, 269, 6893, 351, 692, 281, 1403, 6616, 519, 1871, 540, 2473, 1281, 711, 948, 721, 3589, 519, 1871, 540, 2473, 267, 1287, 2473, 543, 962, 616, 1547, 6893, 351, 692, 2162, 9208, 8061, 2747, 540, 519, 5681, 270, 11795, 2397, 540, 5565, 15932, 25159, 692, 2690, 1383, 267, 952, 596, 723, 1079, 4351, 4632, 267, 2473, 543, 962, 267, 609, 1797, 661, 11583, 264, 543, 661, 263, 312, 264, 543, 3044, 24017, 12676, 11583, 264, 543, 12676, 263, 312, 1070, 6606, 267, 543, 596, 1616, 547, 1711, 513, 1007, 2073, 2098, 267, 676, 4946, 873, 1927, 267, 1287, 519, 540, 2098, 568, 2016, 676, 1384, 16256, 263, 313, 264, 815, 24226, 480, 382, 486, 382, 504, 263, 16256, 11583, 8203, 273, 1341, 12676, 263, 312, 8203, 273, 2020, 2971, 12834, 692, 11764, 281, 1280, 1022, 1079, 2473, 543, 962, 267, 952, 590, 815, 2473, 1341, 962, 267, 519, 540, 590, 568, 12676, 317, 273, 284, 630, 311, 266, 312, 8203, 273, 1547, 1677, 1265, 519, 2073, 1491, 519, 4009, 3597, 540, 519, 4542, 281, 12676, 815, 21762, 263, 16256, 311, 317, 273, 1341, 12676, 312, 317, 273, 1040, 6893, 351, 1109, 24092, 24017, 798, 711, 1039, 282, 946, 519, 4542, 610, 707, 9498, 269, 6893, 351, 692, 11795, 2397, 281, 1280, 1022, 1079, 2473, 543, 962, 267, 952, 667, 815, 2473, 910, 962, 267, 519, 540, 667, 568, 667, 317, 273, 284, 630, 311, 25286, 8203, 273, 24210, 273, 266, 312, 273, 269, 1677, 1265, 519, 2073, 1491, 519, 4009, 3597, 540, 519, 4542, 281, 667, 284, 6912, 3287, 273, 266, 312, 273, 1040, 18564, 602, 596, 616, 10691, 18946, 519, 1083, 1734, 630, 528, 519, 538, 519, 8545, 4542, 1040, 6893, 351, 692, 16055, 494, 382, 509, 382, 492, 6893, 483, 13772, 281, 6673, 853, 1846, 910, 26157, 15932, 25159, 692, 1012, 6657, 9046, 692, 2521, 713, 835, 593, 707, 1378, 256, 476, 16055, 494, 382, 509, 382, 502, 382, 487, 692, 10521, 4351, 4632, 267, 2473, 543, 962, 267, 2099, 519, 1297, 540, 3108, 513, 2875, 22939, 4974, 585, 513, 2979, 1449, 543, 519, 1297, 540, 3108, 513, 2875, 22939, 4974, 585, 513, 2257, 1449, 267, 6606, 269, 634, 5506, 14778, 540, 2473, 543, 962, 616, 3254, 538, 519, 7515, 2630, 1384, 288, 1007, 2073, 2098, 267, 4564, 519, 2698, 1297, 540, 3108, 513, 2875, 22939, 4974, 585, 1312, 4255, 780, 5416, 264, 12433, 519, 610, 4397, 1871, 540, 2098, 780, 6357, 264, 12433, 519, 540, 2098, 780, 5560, 264, 19873, 519, 2164, 538, 519, 2796, 540, 519, 1966, 780, 258, 476, 275, 269, 280, 26157, 15932, 25159, 692, 298, 1415, 320, 20961, 692, 297, 539, 2372, 26820, 527, 692, 298, 1415, 320, 20961, 692, 297, 539, 2372, 26820, 527, 692, 2005, 781, 1360, 3730, 547, 2981, 513, 676, 4946, 610, 18946, 513, 3586, 610, 14921, 610, 12270, 676, 513, 3586, 269, 901, 666, 948, 547, 14458, 9273, 610, 547, 1118, 519, 2164, 4443, 547, 4612, 269, 476, 16055, 494, 382, 509, 6893, 488, 382, 482, 692, 1607, 3296, 568, 827, 13321, 4351, 4632, 676, 4946, 4882, 889, 339, 24219, 610, 14921, 7933, 1204, 532, 676, 513, 3586, 269, 2311, 519, 1439, 540, 713, 3296, 267, 596, 3513, 917, 875, 547, 9192, 4351, 4632, 547, 5173, 543, 4612, 519, 543, 16317, 1012, 12430, 17992, 725, 540, 513, 15932, 24438, 692, 2691, 596, 2981, 513, 676, 4946, 610, 18946, 513, 3586, 267, 519, 543, 540, 519, 9927, 4756, 616, 849, 17146, 676, 519, 1482, 3586, 269, 1280, 1383, 267, 952, 596, 723, 513, 2073, 2473, 267, 609, 661, 11583, 264, 543, 12676, 11583, 1070, 543, 596, 2981, 621, 547, 513, 1007, 2073, 962, 267, 676, 4946, 513, 3586, 267, 524, 267, 547, 1142, 1871, 540, 2473, 267, 1287, 519, 543, 540, 962, 616, 2016, 676, 281, 24226, 480, 382, 508, 382, 499, 16055, 480, 382, 508, 382, 500, 692, 292, 263, 312, 264, 815, 661, 11583, 264, 1341, 524, 692, 16256, 263, 312, 264, 815, 12676, 11583, 2020, 20118, 267, 952, 596, 2981, 513, 676, 14921, 610, 12270, 621, 676, 513, 3586, 267, 519, 543, 540, 519, 9927, 4756, 616, 849, 16611, 610, 5258, 676, 519, 1482, 3586, 269, 1280, 1383, 267, 952, 596, 723, 513, 2073, 2473, 267, 609, 661, 11583, 264, 543, 12676, 11583, 1070, 543, 596, 2981, 621, 547, 513, 1007, 2073, 962, 267, 676, 14921, 1142, 1871, 540, 2473, 676, 513, 3586, 267, 524, 267, 1287, 519, 543, 540, 962, 616, 2016, 676, 281, 24226, 480, 382, 506, 382, 500, 16055, 493, 6893, 502, 382, 493, 16055, 480, 382, 508, 382, 501, 692, 292, 263, 312, 264, 815, 661, 11583, 264, 2608, 524, 692, 16256, 263, 312, 264, 815, 12676, 11583, 264, 2608, 524, 692, 312, 815, 513, 1341, 645, 311, 692, 2691, 596, 2981, 513, 676, 4946, 610, 18946, 513, 3586, 267, 621, 5540, 519, 3800, 540, 4099, 543, 4087, 267, 855, 621, 1281, 711, 1860, 519, 13260, 610, 519, 3337, 540, 519, 3892, 780, 2691, 596, 2981, 513, 676, 14921, 610, 12270, 621, 676, 513, 3586, 267, 621, 5540, 519, 3800, 540, 4099, 267, 4087, 267, 543, 13260, 267, 855, 621, 1281, 711, 1689, 519, 3337, 540, 519, 3892, 780, 2162, 1401, 4624, 10025, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 572, 6948, 994, 2381, 2373, 14352, 17524, 529, 14370, 1911, 271, 265, 2568, 4297, 260, 2568, 454, 2381, 2373, 815, 703, 263, 2381, 2373, 994, 327, 2293, 14352, 17524, 529, 14370, 1911, 271, 265, 2568, 265, 2568, 4917, 327, 2293, 815, 703, 630, 327, 2293, 2020, 258, 1820, 9497, 260, 323, 5662, 4939, 338, 3764, 4882, 4939, 338, 2034, 4882, 4939, 323, 1984, 1047, 1718, 4882, 257, 4939, 630, 327, 2293, 267, 3764, 267, 572, 6948, 267, 1984, 529, 4917, 258, 1820, 9497, 260, 323, 5662, 4939, 338, 3764, 4882, 4939, 338, 2034, 4882, 257, 4939, 630, 327, 2293, 267, 3764, 267, 572, 6948, 267, 1984, 529, 11723, 258, 1820, 263, 2891, 260, 323, 5662, 4882, 257, 4939, 630, 327, 2293, 4297, 2608, 630, 327, 2293, 3436, 476, 271, 264, 1341, 834, 4939, 323, 3764, 4882, 257, 4939, 630, 2381, 2373, 264, 2608, 630, 2381, 2373, 3436, 476, 271, 264, 1341, 834, 4939, 323, 7643, 4882, 257, 4939, 630, 572, 6948, 31618, 572, 6948, 285, 271, 264, 610, 834, 3286, 4939, 323, 1984, 1047, 1718, 4882, 257, 4939, 1984, 529, 25589, 2745, 6600, 262, 346, 327, 2293, 348, 5662, 4882, 262, 16732, 327, 2293, 11203, 476, 271, 264, 1341, 535, 262, 2715, 2381, 2373, 348, 8792, 4882, 262, 16732, 2381, 2373, 11203, 476, 271, 264, 1341, 535, 262, 2715, 572, 6948, 348, 2034, 4882, 262, 16732, 572, 6948, 11203, 476, 271, 264, 610, 535, 262, 3286, 2715, 17524, 529, 348, 1984, 1047, 1718, 4882, 17210, 258, 1820, 6600, 262, 346, 327, 2293, 348, 5662, 4882, 262, 2608, 630, 327, 2293, 11203, 476, 271, 4917, 0, 18411, 2237, 513, 1599, 666, 17746, 1192, 6025, 13759, 267, 5320, 289, 1678, 264, 602, 24693, 513, 3077, 5569, 543, 606, 5044, 540, 12673, 780, 763, 1599, 1058, 2132, 513, 1630, 18978, 10834, 2436, 610, 711, 519, 3077, 666, 581, 9112, 676, 454, 935, 13906, 523, 908, 2609, 540, 519, 2262, 289, 1678, 5044, 780, 2791, 949, 19074, 2609, 540, 2262, 289, 1678, 607, 1082, 2053, 607, 2877, 454, 18257, 692, 3698, 666, 17746, 1192, 6025, 13759, 267, 5320, 289, 1678, 2187, 825, 1780, 19638, 0, 18411, 31095, 513, 1599, 1655, 11764, 6025, 13759, 11764, 267, 2338, 264, 602, 3217, 538, 513, 3077, 11764, 543, 606, 5044, 540, 2338, 607, 4661, 780, 763, 1599, 1058, 2132, 606, 5044, 5627, 519, 20125, 4999, 540, 2338, 602, 1039, 909, 547, 1965, 18075, 519, 3077, 11764, 563, 2252, 972, 568, 513, 17063, 585, 519, 20125, 4999, 267, 596, 949, 2132, 1022, 835, 540, 519, 20125, 563, 12895, 11764, 263, 278, 267, 314, 276, 267, 274, 267, 275, 267, 278, 8079, 815, 3436, 1496, 278, 2639, 12895, 11764, 263, 279, 267, 314, 273, 267, 274, 267, 276, 8079, 815, 3436, 1496, 276, 267, 274, 2639, 18257, 7531, 3698, 1655, 11764, 6025, 13759, 11764, 267, 2338, 267, 1509, 334, 284, 24001, 2187, 825, 952, 3077, 11764, 538, 1509, 334, 912, 1038, 2132, 1509, 334, 314, 339, 13759, 11764, 2639, 825, 952, 3077, 11764, 2652, 476, 271, 912, 1038, 2132, 11713, 825, 952, 3077, 11764, 2999, 476, 271, 912, 1038, 2132, 7183, 454, 825, 20125, 23382, 815, 7183, 454, 825, 585, 1003, 538, 2338, 912, 1038, 2611, 815, 3077, 11764, 910, 1003, 454, 1038, 759, 815, 1655, 11764, 263, 8145, 664, 267, 2338, 31599, 655, 334, 994, 1038, 952, 759, 11203, 7183, 912, 2018, 759, 6910, 16325, 994, 2018, 1948, 952, 519, 4999, 568, 10156, 982, 519, 20125, 1287, 9337, 519, 2357, 658, 324, 454, 2018, 952, 20125, 23382, 568, 7183, 610, 7003, 263, 637, 264, 2999, 7003, 263, 26211, 652, 23382, 2187, 3546, 20125, 23382, 815, 759, 454, 825, 1509, 334, 314, 339, 13759, 11764, 316, 815, 20125, 23382, 454, 825, 2132, 20125, 23382, 7531, 2745, 6357, 652, 11764, 263, 278, 267, 1496, 276, 267, 476, 274, 267, 476, 275, 267, 476, 278, 316, 4297, 476, 1948, 1496, 278, 2639, 2745, 6357, 652, 11764, 263, 279, 267, 1496, 273, 267, 476, 274, 267, 476, 276, 316, 4297, 476, 1948, 1496, 274, 267, 276, 2639, 2745, 6357, 652, 11764, 263, 279, 267, 1496, 272, 267, 476, 275, 267, 476, 276, 316, 4297, 476, 1948, 1496, 275, 267, 275, 2639, 2745, 6357, 652, 11764, 263, 279, 267, 1496, 272, 267, 273, 267, 476, 274, 267, 476, 276, 267, 277, 267, 279, 316, 4297, 1948, 314, 273, 267, 277, 2639, 2745, 6357, 652, 11764, 263, 1911, 267, 1496, 272, 267, 476, 273, 267, 476, 276, 267, 476, 1839, 316, 4297, 476, 1948, 1496, 1839, 267, 1839, 267, 1839, 267, 1839, 316, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 2187, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 454, 1038, 1582, 22183, 815, 1883, 692, 3698, 769, 24576, 20172, 2187, 825, 1225, 815, 3597, 454, 825, 588, 330, 815, 314, 2639, 825, 1247, 6936, 912, 1038, 952, 1225, 568, 711, 7183, 912, 2018, 588, 330, 6910, 263, 2017, 994, 2018, 1225, 815, 1225, 16000, 454, 1038, 8640, 263, 560, 330, 2187, 2018, 1225, 815, 588, 330, 21014, 4590, 2018, 1820, 263, 2017, 22183, 267, 754, 6889, 19515, 2018, 1225, 815, 1225, 16192, 454, 1038, 3116, 912, 2018, 2736, 7531, 3698, 538, 4650, 296, 614, 20172, 2187, 825, 588, 330, 815, 11713, 825, 1225, 815, 3597, 454, 825, 1247, 6936, 912, 1038, 952, 1225, 568, 711, 7183, 912, 2018, 588, 330, 6910, 263, 2017, 994, 2018, 1225, 815, 1225, 16000, 454, 1038, 8640, 588, 330, 912, 2018, 1225, 815, 588, 330, 21014, 4590, 2018, 1820, 263, 2017, 22183, 267, 754, 284, 834, 19515, 2018, 1225, 815, 1225, 16192, 454, 1038, 3116, 912, 2018, 2736, 7531, 258, 654, 3994, 5358, 454, 3698, 2022, 24576, 20172, 2187, 825, 588, 330, 815, 11713, 825, 1225, 815, 3597, 454, 825, 1247, 6936, 912, 1038, 952, 1225, 568, 711, 7183, 912, 2018, 588, 330, 6910, 263, 2017, 994, 2018, 1225, 815, 1225, 16000, 454, 1038, 8640, 588, 330, 912, 2018, 1225, 815, 588, 330, 21014, 4590, 2018, 10917, 815, 1225, 454, 2018, 1225, 815, 1225, 16192, 454, 2018, 1820, 6025, 11391, 22183, 267, 754, 6889, 19515, 1038, 3116, 912, 2018, 2736, 692, 258, 30905, 3009, 454, 10174, 815, 19219, 263, 272, 994, 10174, 16000, 815, 19219, 263, 273, 994, 10174, 16192, 815, 19219, 263, 274, 994, 10174, 16000, 16000, 815, 19219, 263, 275, 994, 10174, 16000, 16192, 815, 19219, 263, 276, 994, 258, 769, 24576, 20172, 994, 258, 1820, 4590, 258, 538, 4650, 296, 614, 20172, 994, 258, 1820, 4590, 14006, 24576, 20172, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2020, 14851, 7003, 26140, 264, 2652, 476, 275, 543, 476, 20956, 273, 18994, 6944, 712, 3519, 557, 343, 26140, 2187, 453, 453, 28744, 6262, 341, 273, 269, 4186, 712, 22704, 26140, 4297, 538, 1440, 25504, 1714, 1858, 632, 24140, 611, 2784, 657, 1252, 15606, 11188, 1265, 6944, 537, 10756, 453, 14851, 476, 3193, 22704, 28062, 2999, 20956, 273, 269, 4186, 712, 22704, 26140, 264, 543, 20956, 273, 269, 4186, 712, 22704, 26140, 264, 2999, 10790, 311, 318, 4596, 7419, 307, 21788, 318, 2752, 12788, 10778, 4848, 453, 10946, 22704, 28062, 815, 20956, 273, 269, 4186, 712, 22704, 26140, 994, 4848, 453, 2457, 6944, 712, 815, 4114, 454, 2745, 2891, 24801, 5602, 2745, 263, 2457, 6944, 712, 994, 10233, 815, 630, 14838, 267, 476, 271, 267, 476, 271, 994, 1721, 533, 660, 538, 2985, 6944, 712, 912, 13537, 9638, 660, 994, 453, 29764, 273, 6983, 22511, 263, 10233, 318, 19112, 267, 263, 335, 660, 314, 271, 267, 271, 3910, 335, 660, 314, 271, 267, 272, 25818, 1015, 267, 10233, 2020, 10823, 16553, 7120, 263, 13199, 1070, 10823, 269, 574, 19651, 6262, 341, 273, 6983, 26404, 21760, 263, 10233, 318, 19112, 267, 20956, 273, 269, 4596, 299, 3036, 318, 305, 16412, 273, 289, 16165, 264, 16532, 10823, 26644, 2891, 6358, 8442, 3097, 10823, 16553, 7120, 263, 14338, 1070, 10823, 269, 574, 19651, 6262, 341, 273, 6983, 26404, 21760, 263, 539, 2471, 267, 20956, 273, 269, 4596, 299, 3036, 318, 305, 16412, 273, 289, 16165, 24270, 10823, 26644, 2891, 321, 10561, 5602, 10823, 20481, 4590, 28744, 263, 2457, 6944, 712, 2020, 2745, 2891, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 5602, 3698, 2185, 290, 1941, 619, 31374, 263, 14186, 2187, 453, 18528, 815, 5286, 6155, 858, 263, 14186, 267, 7852, 284, 272, 994, 453, 8999, 332, 815, 533, 1206, 27904, 263, 9471, 284, 272, 264, 28768, 16596, 5286, 15126, 8443, 14186, 314, 12639, 27769, 2381, 4433, 17026, 264, 3910, 14186, 314, 12639, 27769, 10946, 5560, 858, 264, 3910, 14186, 314, 12639, 27769, 10946, 4433, 17026, 264, 3910, 14186, 314, 12639, 27769, 2381, 5560, 858, 13580, 20285, 3698, 26048, 19423, 3553, 6262, 660, 267, 4752, 3553, 2187, 453, 322, 660, 6834, 15558, 454, 453, 322, 660, 314, 322, 660, 283, 271, 316, 815, 476, 271, 454, 16596, 524, 660, 476, 7531, 2457, 6944, 712, 815, 2185, 290, 1941, 619, 31374, 263, 2457, 6944, 712, 18020, 271, 7481, 28744, 263, 2457, 6944, 712, 994, 2457, 6944, 712, 815, 26048, 19423, 3553, 263, 2457, 6944, 712, 267, 8987, 276, 267, 276, 4917, 28744, 263, 2457, 6944, 712, 994, 338, 32622, 815, 2985, 6944, 712, 454, 258, 338, 32622, 815, 2985, 6944, 712, 31715, 263, 4900, 270, 476, 8517, 264, 1609, 320, 1899, 320, 642, 320, 598, 1714, 759, 1125, 1642, 21246, 1470, 692, 19417, 815, 3193, 18828, 7456, 1400, 326, 8542, 768, 4433, 32622, 314, 271, 316, 910, 521, 32622, 314, 272, 25818, 12639, 7456, 1400, 326, 8542, 768, 4433, 32622, 314, 273, 316, 910, 521, 32622, 314, 274, 316, 4297, 28768, 12296, 815, 3193, 18828, 7456, 1400, 326, 8542, 768, 4433, 32622, 314, 272, 316, 910, 521, 32622, 314, 273, 25818, 12639, 7456, 1400, 326, 8542, 768, 4433, 32622, 314, 274, 316, 910, 521, 32622, 314, 271, 8079, 2020, 258, 22056, 3077, 2798, 454, 339, 32622, 815, 5286, 15126, 31912, 271, 267, 476, 271, 3910, 453, 314, 271, 267, 4463, 25662, 12296, 267, 4463, 25662, 12296, 267, 476, 271, 316, 3910, 5286, 269, 15615, 3953, 994, 338, 32622, 815, 5286, 269, 15615, 3953, 4433, 32622, 994, 258, 310, 1905, 532, 5133, 454, 28744, 4433, 32622, 994, 28744, 6025, 32622, 994, 258, 338, 32622, 815, 476, 275, 265, 338, 32622, 454, 258, 339, 32622, 815, 476, 275, 265, 339, 32622, 454, 28744, 4433, 32622, 994, 28744, 6025, 32622, 994, 1721, 533, 538, 521, 32622, 912, 13537, 9638, 994, 453, 29764, 273, 6983, 22511, 263, 574, 10402, 267, 263, 842, 9638, 314, 271, 30297, 273, 1070, 842, 9638, 314, 272, 30297, 273, 264, 16532, 1015, 267, 10233, 994, 29764, 273, 269, 574, 19651, 2891, 574, 10402, 318, 9418, 2580, 4337, 523, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 2020, 300, 284, 20956, 273, 10947, 25324, 8826, 9558, 845, 4433, 32622, 25722, 32622, 994, 2908, 15862, 815, 20956, 273, 269, 8705, 335, 25324, 8826, 263, 574, 10402, 267, 300, 267, 263, 842, 263, 12296, 1070, 842, 263, 19417, 4297, 2020, 258, 29764, 273, 269, 574, 19651, 2891, 15680, 5866, 318, 3530, 6839, 6652, 845, 2580, 2908, 15862, 994, 258, 29764, 273, 9884, 7159, 7659, 263, 271, 2020, 28744, 263, 2457, 6944, 712, 994, 258, 29764, 273, 269, 574, 31095, 2891, 539, 2471, 27970, 2580, 8728, 994, 258, 29764, 273, 9884, 7159, 7659, 263, 271, 994, 258, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 10797, 0, 11133, 1499, 815, 1496, 276, 267, 476, 1015, 267, 476, 278, 267, 476, 280, 2639, 1721, 1775, 538, 2039, 12759, 3799, 13246, 15892, 476, 2338, 5157, 316, 815, 4073, 3799, 13246, 5157, 3910, 274, 2020, 2745, 2891, 24314, 10606, 24333, 2338, 994, 2745, 2891, 14737, 24333, 1295, 3799, 13246, 4917, 2745, 2891, 16655, 24333, 3193, 3799, 13246, 4917, 2745, 2891, 11764, 24333, 2040, 3799, 13246, 4917, 2745, 2891, 2419, 6548, 10606, 24333, 2338, 2020, 0, 12163, 21588, 361, 4970, 487, 419, 360, 510, 454, 274, 268, 273, 29635, 485, 359, 27310, 20881, 352, 26406, 354, 29612, 692, 23523, 508, 257, 332, 22389, 257, 25060, 363, 24662, 257, 303, 514, 257, 421, 350, 508, 10254, 354, 7511, 25913, 19764, 493, 692, 21928, 21588, 361, 1626, 420, 483, 367, 26406, 354, 29612, 692, 20701, 258, 23523, 508, 257, 332, 22389, 257, 25060, 363, 24662, 257, 303, 514, 257, 421, 350, 508, 10254, 354, 454, 5228, 3684, 1104, 18237, 692, 258, 25060, 363, 24662, 257, 5503, 257, 418, 357, 350, 419, 369, 482, 19867, 491, 420, 25693, 417, 509, 371, 27310, 338, 2748, 4590, 5814, 942, 692, 258, 21928, 1626, 420, 483, 367, 420, 376, 372, 24731, 421, 360, 502, 421, 505, 375, 12916, 491, 454, 1194, 815, 18237, 263, 1626, 267, 18237, 269, 27345, 2020, 258, 420, 483, 367, 1626, 420, 376, 372, 24731, 421, 360, 502, 421, 505, 375, 12916, 491, 263, 11590, 362, 419, 485, 486, 994, 1194, 27841, 263, 272, 2020, 258, 420, 483, 367, 1626, 420, 376, 372, 24731, 12916, 492, 421, 505, 375, 12916, 491, 263, 21251, 11590, 362, 419, 485, 486, 994, 1194, 27841, 263, 271, 2020, 1721, 1775, 538, 2039, 263, 274, 2187, 825, 3366, 27841, 263, 271, 994, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 3366, 27841, 263, 272, 994, 825, 942, 4732, 2748, 263, 271, 269, 276, 264, 0, 3698, 17179, 309, 578, 1564, 19304, 17107, 825, 952, 711, 1193, 912, 1038, 2132, 834, 4840, 825, 952, 1193, 314, 271, 316, 538, 18358, 320, 12887, 324, 12887, 328, 12887, 334, 12887, 340, 12887, 288, 12887, 292, 12887, 296, 12887, 302, 12887, 308, 11172, 912, 1038, 2132, 17179, 309, 578, 1564, 19304, 314, 272, 281, 8079, 1948, 527, 16571, 1947, 5654, 693, 519, 1964, 540, 519, 5569, 454, 825, 3116, 10778, 1038, 2132, 1193, 1496, 271, 316, 1341, 17179, 309, 578, 1564, 19304, 314, 272, 281, 8079, 1948, 527, 8591, 519, 1915, 543, 16571, 1947, 5654, 693, 519, 1964, 540, 519, 5569, 7531, 672, 7531, 2745, 630, 7230, 913, 309, 578, 1564, 2891, 2041, 2246, 3814, 27363, 8528, 258, 335, 12065, 665, 1712, 692, 258, 301, 10976, 8582, 30600, 19304, 2187, 258, 8587, 1403, 1193, 568, 8900, 912, 258, 1363, 17776, 1193, 3097, 258, 2252, 1193, 1496, 271, 316, 538, 476, 538, 18358, 320, 12887, 324, 12887, 328, 12887, 334, 12887, 340, 12887, 288, 12887, 292, 12887, 296, 12887, 302, 12887, 308, 11172, 1384, 258, 825, 17776, 17179, 309, 578, 1564, 454, 258, 825, 22527, 912, 258, 19930, 17776, 1193, 314, 271, 316, 1341, 1100, 309, 578, 1564, 630, 1598, 314, 272, 281, 7481, 258, 5899, 9847, 3403, 5569, 3097, 0, 5228, 17511, 1104, 5903, 267, 667, 1112, 267, 16515, 921, 267, 5742, 692, 5035, 11242, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29644, 815, 703, 9272, 15405, 1038, 1582, 269, 716, 8481, 815, 1582, 269, 30976, 1125, 318, 716, 8481, 4590, 1038, 1582, 6983, 15330, 517, 318, 5632, 9725, 815, 11713, 1038, 1582, 12459, 600, 773, 318, 5632, 9725, 815, 29129, 825, 1219, 3355, 1125, 318, 716, 8481, 4311, 2187, 1038, 2238, 815, 20886, 265, 314, 842, 263, 1998, 264, 585, 1130, 538, 3403, 14061, 20889, 2891, 834, 264, 3910, 1775, 267, 7183, 316, 585, 1775, 538, 2039, 4311, 29644, 22708, 1038, 15044, 318, 2421, 22710, 815, 15044, 263, 716, 8481, 267, 1883, 284, 14433, 1535, 281, 630, 343, 314, 271, 3910, 1535, 314, 272, 28413, 1038, 2132, 15044, 318, 2421, 22710, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 2638, 318, 5632, 9725, 263, 13808, 281, 16515, 921, 27776, 267, 703, 267, 703, 267, 1193, 3910, 11706, 281, 5903, 314, 307, 340, 921, 27776, 267, 3267, 316, 8079, 9847, 536, 944, 912, 1038, 666, 318, 4777, 815, 6936, 454, 1038, 952, 7003, 263, 5632, 9725, 264, 2652, 476, 271, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 1376, 267, 1439, 267, 9041, 267, 9041, 815, 2534, 454, 2018, 561, 318, 11034, 267, 561, 318, 754, 815, 11706, 15631, 272, 2639, 2018, 952, 1376, 2999, 561, 318, 754, 912, 3546, 666, 318, 4777, 815, 8771, 454, 1038, 2132, 666, 318, 4777, 692, 825, 1219, 1205, 318, 5632, 9725, 4311, 264, 9847, 1193, 912, 1038, 585, 2534, 538, 1582, 269, 716, 8481, 912, 2018, 666, 6831, 15330, 517, 318, 4777, 815, 1582, 269, 13765, 318, 5632, 9725, 263, 13808, 267, 1582, 6983, 15330, 517, 318, 5632, 9725, 994, 2018, 952, 666, 6831, 15330, 517, 318, 4777, 568, 6936, 912, 3546, 1582, 6983, 15330, 517, 318, 5632, 9725, 6910, 263, 13808, 11468, 273, 7481, 3546, 2534, 314, 274, 316, 815, 1412, 290, 7055, 2018, 3116, 912, 3546, 666, 19553, 600, 773, 318, 4777, 815, 1582, 269, 13765, 318, 5632, 9725, 263, 13808, 267, 1582, 12459, 600, 773, 318, 5632, 9725, 994, 3546, 952, 666, 19553, 600, 773, 318, 4777, 568, 6936, 912, 7386, 1582, 12459, 600, 773, 318, 5632, 9725, 6910, 263, 13808, 11468, 273, 7481, 7386, 2534, 314, 274, 316, 815, 1412, 297, 7055, 3546, 3116, 912, 7386, 2132, 834, 296, 6573, 5308, 10485, 25770, 5016, 1038, 2132, 834, 2668, 21860, 8443, 716, 314, 274, 316, 585, 957, 538, 15044, 4311, 269, 716, 8481, 267, 1883, 284, 14433, 513, 281, 513, 314, 273, 8079, 316, 9239, 3698, 1292, 10031, 825, 1449, 18045, 815, 703, 9272, 15405, 825, 585, 512, 538, 2039, 263, 272, 267, 1449, 18045, 1341, 476, 272, 2187, 1038, 11706, 815, 11242, 4590, 1038, 1820, 2891, 19111, 1948, 24001, 281, 15079, 2668, 8971, 6025, 267, 11706, 10947, 318, 5632, 9725, 28829, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 8193, 284, 326, 321, 330, 692, 5814, 556, 7531, 6312, 1181, 815, 556, 2593, 335, 850, 16868, 262, 315, 323, 346, 273, 348, 24097, 323, 346, 273, 348, 24097, 323, 346, 273, 348, 5073, 3097, 332, 2255, 815, 4806, 269, 14142, 3488, 26607, 5463, 476, 4029, 476, 6187, 281, 2004, 281, 876, 595, 4306, 476, 1001, 275, 5073, 3097, 604, 6474, 912, 825, 1820, 6474, 3052, 4981, 30800, 258, 1948, 30379, 377, 15031, 1181, 454, 258, 4806, 815, 556, 2593, 335, 850, 16868, 262, 16447, 5073, 258, 22322, 258, 1948, 30379, 373, 15031, 1181, 386, 354, 13799, 386, 354, 410, 371, 386, 354, 390, 365, 14085, 454, 258, 1948, 6474, 815, 4806, 6230, 2255, 3488, 31435, 1158, 5073, 258, 3097, 258, 1820, 556, 26098, 718, 16868, 262, 16447, 3299, 1412, 31435, 1158, 1158, 10371, 325, 323, 611, 1158, 10807, 3248, 258, 3097, 258, 6474, 815, 476, 556, 269, 14142, 16868, 262, 16447, 3299, 1412, 26607, 5463, 476, 4029, 476, 6187, 281, 2004, 281, 876, 595, 4306, 476, 1001, 275, 5073, 258, 3097, 258, 952, 6474, 912, 258, 672, 1820, 6474, 3052, 4981, 4590, 0, 5814, 2979, 454, 2745, 2891, 303, 617, 1690, 530, 4944, 565, 322, 345, 2106, 333, 5942, 4737, 16492, 737, 342, 7310, 520, 578, 1122, 334, 5602, 320, 25507, 9272, 2891, 320, 6889, 4917, 2745, 263, 6943, 5416, 4917, 321, 25507, 9272, 2891, 321, 6889, 4917, 322, 25507, 9272, 2891, 322, 6889, 4917, 2745, 2891, 305, 1144, 534, 773, 586, 284, 2580, 320, 2437, 343, 317, 273, 266, 2580, 321, 2437, 343, 266, 2580, 322, 2020, 23169, 815, 536, 265, 321, 910, 476, 275, 265, 320, 265, 322, 692, 604, 18232, 2652, 476, 271, 912, 13537, 2891, 303, 1512, 342, 328, 770, 2131, 887, 1233, 16492, 281, 5602, 13537, 2891, 343, 284, 2580, 268, 321, 14370, 273, 265, 320, 4917, 19197, 18232, 3436, 476, 271, 912, 13537, 2891, 303, 1512, 9749, 9332, 7288, 887, 1233, 16492, 281, 5602, 13537, 2891, 343, 272, 284, 2580, 8987, 321, 2173, 987, 28460, 6357, 265, 321, 910, 476, 275, 265, 320, 265, 322, 4297, 14370, 273, 265, 320, 4917, 13537, 2891, 343, 273, 284, 2580, 8987, 321, 266, 4118, 28460, 6357, 265, 321, 910, 476, 275, 265, 320, 265, 322, 4297, 14370, 273, 265, 320, 4917, 12828, 912, 13537, 2891, 305, 1144, 534, 773, 562, 773, 12103, 22815, 342, 328, 770, 330, 578, 678, 345, 1815, 5414, 342, 626, 344, 577, 5602, 0, 5814, 4351, 454, 333, 284, 279, 454, 3901, 272, 17342, 314, 271, 30297, 333, 585, 1775, 538, 2039, 3799, 22708, 3901, 273, 17342, 314, 271, 30297, 333, 585, 1775, 538, 2039, 3799, 22708, 3901, 274, 17342, 314, 271, 30297, 333, 585, 1775, 538, 2039, 3799, 264, 6540, 1721, 1775, 538, 2039, 3799, 2187, 22610, 795, 538, 2039, 3799, 2187, 453, 453, 3901, 272, 5157, 6012, 329, 24557, 12690, 27110, 263, 271, 267, 280, 994, 453, 453, 3901, 273, 5157, 6012, 329, 24557, 12690, 27110, 263, 271, 267, 280, 994, 1721, 1775, 538, 2039, 3799, 2187, 22610, 795, 538, 2039, 3799, 2187, 453, 22610, 737, 538, 2039, 3799, 2187, 4848, 453, 3901, 274, 5157, 6012, 329, 24557, 3901, 274, 5157, 6012, 329, 27994, 3901, 272, 5157, 6012, 330, 30297, 3901, 273, 25208, 6012, 329, 2639, 2745, 263, 3901, 272, 994, 2745, 263, 3901, 273, 994, 2745, 263, 3901, 274, 994, 0, 5814, 5569, 692, 3698, 642, 322, 5416, 18316, 267, 1376, 318, 1467, 284, 272, 2187, 825, 513, 815, 11713, 825, 1710, 815, 1930, 5416, 18316, 994, 825, 3515, 815, 1710, 18667, 6050, 4590, 825, 3515, 815, 3515, 314, 11034, 318, 1467, 910, 476, 272, 281, 6540, 825, 585, 1347, 538, 3515, 912, 1038, 1793, 815, 1347, 14714, 8692, 14061, 12294, 14061, 10520, 17218, 30415, 6230, 752, 564, 4920, 2891, 14824, 19823, 5569, 4877, 9417, 6672, 1040, 20889, 4590, 1038, 513, 6834, 1793, 454, 1038, 1820, 2891, 6919, 2580, 262, 337, 5073, 1038, 2262, 18045, 18380, 815, 31460, 1038, 585, 2262, 538, 513, 912, 16875, 2262, 18045, 18380, 314, 5320, 316, 815, 2262, 18045, 18380, 10947, 27182, 267, 476, 271, 264, 1341, 476, 272, 692, 825, 575, 815, 7003, 5416, 994, 825, 554, 815, 7003, 27182, 18045, 18380, 269, 12399, 15405, 825, 642, 815, 10581, 22607, 264, 1315, 575, 692, 825, 1820, 9497, 13707, 1297, 540, 1913, 281, 834, 1341, 1193, 14116, 264, 1341, 27719, 333, 257, 1341, 834, 10831, 540, 1114, 1913, 281, 834, 1341, 1193, 22607, 264, 1341, 27719, 333, 257, 1341, 834, 309, 665, 629, 7352, 766, 20587, 281, 834, 1341, 1193, 17635, 4917, 0, 427, 375, 379, 18851, 1477, 25284, 14255, 533, 558, 5451, 7315, 773, 737, 579, 25155, 523, 24926, 1477, 308, 385, 378, 6403, 341, 622, 384, 378, 23313, 642, 12682, 341, 528, 6403, 834, 323, 520, 629, 5451, 30349, 257, 798, 737, 339, 648, 329, 1990, 611, 5451, 17333, 5451, 345, 5652, 513, 16204, 5451, 341, 928, 5212, 335, 3437, 324, 1477, 22025, 558, 1982, 581, 385, 378, 6403, 642, 683, 330, 821, 25155, 333, 558, 524, 1731, 548, 513, 533, 6403, 3279, 1094, 562, 5451, 327, 617, 928, 642, 344, 1962, 520, 2946, 17333, 5451, 345, 5652, 1477, 308, 385, 378, 6403, 341, 622, 384, 378, 5212, 335, 3437, 5451, 267, 513, 1982, 642, 344, 327, 617, 2254, 6403, 17487, 491, 328, 5212, 335, 913, 384, 493, 521, 31918, 5451, 341, 3534, 5897, 335, 9926, 5864, 6390, 281, 1982, 683, 335, 2350, 340, 16660, 521, 556, 5451, 15238, 2096, 328, 5290, 5451, 345, 9564, 513, 548, 521, 1257, 990, 383, 377, 14741, 521, 14243, 321, 768, 328, 1477, 18851, 1477, 5228, 4351, 1104, 28219, 842, 1477, 3698, 3339, 31526, 272, 267, 3758, 273, 8029, 825, 3625, 272, 17342, 15947, 825, 3625, 273, 17342, 15947, 825, 3977, 284, 3269, 1477, 825, 2953, 284, 271, 1477, 825, 4636, 284, 271, 1477, 825, 609, 1930, 31526, 272, 267, 834, 337, 8442, 607, 3403, 272, 6769, 1038, 609, 1930, 630, 12803, 273, 267, 834, 337, 8442, 607, 3403, 273, 6769, 2018, 585, 1775, 538, 3403, 272, 6769, 3546, 3625, 272, 6910, 9217, 11468, 268, 272, 29573, 2018, 585, 795, 538, 3403, 273, 6769, 3546, 3625, 273, 6910, 27203, 11468, 268, 272, 29573, 825, 1247, 6936, 6769, 1038, 4351, 284, 8681, 842, 263, 271, 267, 263, 6352, 263, 23026, 272, 9984, 272, 17903, 1038, 3977, 284, 834, 260, 338, 281, 834, 4939, 263, 23026, 272, 314, 12690, 29573, 1038, 2626, 284, 3863, 17750, 263, 16059, 3418, 1038, 952, 2626, 31573, 3890, 2525, 23026, 273, 314, 12690, 4940, 12294, 28399, 2018, 3977, 284, 834, 10498, 29177, 2018, 2953, 23785, 272, 1477, 1038, 3116, 6769, 2018, 3977, 6889, 301, 10498, 476, 4939, 338, 910, 4939, 338, 707, 2626, 4939, 338, 257, 260, 263, 23026, 272, 314, 12690, 3910, 3625, 273, 314, 12690, 3910, 2626, 3418, 2018, 4636, 23785, 272, 1477, 1038, 6151, 17750, 630, 16059, 3418, 24653, 3698, 6119, 31526, 272, 267, 3758, 273, 267, 2328, 8029, 825, 3403, 5320, 272, 284, 3269, 1477, 825, 3403, 5320, 273, 284, 3269, 1477, 825, 609, 1930, 630, 12803, 272, 267, 2328, 264, 553, 1913, 272, 6769, 1038, 609, 1930, 630, 12803, 273, 267, 2328, 264, 607, 1913, 273, 6769, 2018, 1247, 6936, 6769, 3546, 3403, 5320, 272, 284, 3863, 17750, 2891, 345, 611, 1690, 17333, 1794, 31343, 267, 1535, 840, 737, 517, 773, 322, 281, 834, 3418, 3546, 952, 3403, 5320, 272, 2525, 257, 343, 257, 6769, 7386, 2132, 476, 272, 1477, 3546, 3116, 6769, 7386, 3403, 5320, 272, 266, 6889, 315, 333, 29177, 7386, 1913, 272, 22182, 9272, 5320, 272, 3418, 3546, 3403, 5320, 273, 284, 3863, 17750, 2891, 345, 611, 1690, 5212, 335, 913, 384, 493, 281, 834, 3418, 3546, 3403, 5320, 273, 266, 6889, 315, 333, 29177, 3546, 1913, 273, 22182, 9272, 5320, 273, 10142, 672, 5897, 3698, 3903, 31526, 272, 267, 3758, 273, 8029, 825, 2328, 284, 6151, 17750, 2891, 11803, 339, 341, 528, 527, 18051, 340, 5290, 1794, 340, 286, 263, 344, 840, 606, 334, 267, 562, 840, 562, 773, 267, 533, 840, 929, 573, 534, 773, 1793, 990, 798, 2291, 340, 9857, 576, 329, 5290, 1794, 344, 17983, 476, 3418, 825, 952, 2328, 2525, 257, 344, 257, 6769, 1038, 6119, 31526, 272, 267, 3758, 273, 267, 834, 342, 14744, 825, 8640, 2328, 2525, 257, 335, 257, 6769, 1038, 6119, 31526, 272, 267, 12803, 273, 267, 834, 320, 14744, 825, 3339, 31526, 272, 267, 12803, 273, 3418, 825, 1948, 332, 1712, 284, 6151, 17750, 9497, 345, 14179, 838, 657, 984, 3799, 840, 3339, 264, 14744, 825, 1948, 604, 7154, 2652, 834, 333, 257, 6769, 577, 4069, 2891, 7666, 5465, 17902, 14824, 753, 9955, 17902, 257, 3738, 21506, 24541, 0, 258, 6301, 4604, 1141, 3756, 616, 5129, 692, 5035, 8274, 24998, 17107, 825, 1948, 19461, 3278, 4604, 267, 1847, 1592, 540, 519, 3014, 543, 1297, 540, 7575, 5129, 538, 519, 3014, 454, 825, 1219, 6449, 8181, 9191, 1345, 17107, 1038, 1582, 269, 4580, 815, 1496, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 1038, 1582, 269, 16651, 2414, 31161, 815, 476, 272, 454, 1038, 1582, 6230, 7174, 25440, 539, 815, 476, 271, 454, 1038, 1582, 6230, 913, 8266, 815, 29129, 825, 1948, 2598, 680, 904, 782, 2609, 538, 519, 4604, 454, 825, 1219, 4159, 32317, 4311, 17107, 1038, 1775, 815, 476, 271, 692, 1038, 585, 2609, 538, 1582, 269, 4580, 1384, 2018, 952, 16733, 328, 568, 476, 273, 264, 610, 630, 1775, 568, 476, 276, 264, 610, 630, 328, 568, 476, 279, 15892, 3546, 1820, 16216, 6123, 2020, 2018, 3116, 912, 3546, 1820, 16216, 6123, 267, 754, 6889, 834, 2020, 2018, 1775, 815, 1775, 1341, 476, 272, 692, 825, 1948, 24439, 513, 1847, 593, 519, 512, 545, 512, 659, 23179, 4604, 454, 825, 1219, 1118, 31161, 4311, 29679, 13645, 10831, 17107, 1038, 952, 1582, 4732, 13645, 3674, 10387, 27679, 4433, 13645, 10831, 17107, 2018, 1582, 269, 4580, 314, 338, 13645, 10831, 316, 815, 1582, 269, 16651, 2414, 31161, 454, 2018, 1582, 6230, 7174, 25440, 539, 815, 1582, 6230, 7174, 25440, 539, 1341, 476, 272, 454, 2018, 1582, 6230, 913, 8266, 6910, 4433, 13645, 10831, 2020, 2018, 952, 1582, 269, 16651, 2414, 31161, 568, 476, 272, 912, 3546, 1582, 269, 16651, 2414, 31161, 815, 476, 273, 454, 2018, 3116, 912, 3546, 1582, 269, 16651, 2414, 31161, 815, 476, 272, 692, 825, 1948, 4258, 4242, 952, 4009, 568, 8900, 454, 825, 1219, 4009, 3674, 10387, 27679, 4311, 29679, 13645, 10831, 17107, 1038, 952, 1582, 269, 4580, 314, 338, 13645, 10831, 316, 568, 476, 271, 912, 2018, 2132, 476, 272, 454, 1038, 3116, 912, 2018, 2132, 476, 271, 692, 825, 1948, 1763, 1115, 782, 2418, 547, 741, 9949, 2829, 454, 825, 1219, 19268, 32317, 4311, 17107, 1038, 1582, 269, 16651, 2414, 31161, 815, 476, 272, 454, 1038, 1582, 269, 4580, 815, 1496, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 1038, 1582, 6230, 7174, 25440, 539, 815, 476, 271, 454, 1038, 1582, 6230, 913, 8266, 269, 27234, 10797, 825, 1948, 4258, 4242, 519, 4604, 585, 10888, 15828, 3151, 610, 5373, 2175, 630, 4958, 5281, 476, 272, 585, 3094, 15828, 1601, 543, 476, 273, 585, 2721, 543, 476, 271, 6382, 994, 825, 1219, 568, 310, 514, 4311, 17107, 1038, 952, 630, 9230, 1345, 269, 4580, 314, 271, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 272, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 273, 316, 2652, 476, 272, 264, 610, 27210, 7386, 1582, 269, 4580, 314, 274, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 275, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 276, 316, 2652, 476, 272, 264, 610, 27210, 7386, 1582, 269, 4580, 314, 277, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 278, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 279, 316, 2652, 476, 272, 264, 610, 27210, 7386, 1582, 269, 4580, 314, 271, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 275, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 279, 316, 2652, 476, 272, 264, 610, 27210, 7386, 1582, 269, 4580, 314, 271, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 274, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 277, 316, 2652, 476, 272, 264, 610, 27210, 7386, 1582, 269, 4580, 314, 272, 316, 2652, 476, 272, 543, 1582, 269, 4580, 314, 275, 316, 2652, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8253, 513, 1906, 1004, 1185, 15983, 14754, 267, 693, 835, 942, 610, 1776, 267, 513, 14912, 3014, 1282, 799, 513, 6345, 8593, 2182, 547, 519, 6989, 543, 11124, 606, 6186, 17795, 269, 589, 17795, 267, 607, 649, 917, 267, 568, 513, 7745, 5642, 269, 1403, 621, 3322, 519, 6186, 267, 621, 949, 2049, 538, 519, 21015, 267, 23969, 267, 2539, 6186, 610, 5580, 6186, 269, 634, 6408, 949, 29153, 540, 1928, 538, 543, 1472, 519, 13676, 1858, 267, 15353, 267, 4743, 4411, 543, 695, 6116, 267, 4743, 25861, 543, 575, 1342, 344, 267, 31018, 538, 519, 17119, 885, 267, 610, 2530, 540, 1379, 543, 1599, 538, 519, 4745, 563, 29995, 606, 2473, 11920, 568, 2877, 547, 6166, 519, 5945, 799, 1058, 581, 5701, 2394, 513, 4387, 814, 1500, 513, 5868, 269, 634, 1101, 8584, 3187, 779, 10279, 568, 547, 1416, 585, 519, 6408, 1247, 7996, 585, 519, 5605, 592, 766, 610, 4387, 269, 20226, 4363, 519, 1739, 1101, 268, 4660, 5650, 912, 272, 264, 6435, 519, 6408, 547, 1694, 1524, 1247, 646, 7028, 519, 13676, 6186, 269, 3629, 513, 2571, 10788, 578, 610, 24120, 593, 1010, 19704, 547, 948, 1491, 519, 2597, 1055, 519, 13676, 6186, 543, 8897, 519, 1928, 563, 273, 264, 1280, 513, 21015, 610, 2539, 6186, 5945, 267, 9900, 1747, 513, 24609, 539, 267, 18202, 11356, 10943, 842, 896, 519, 6408, 779, 6186, 547, 1489, 519, 18215, 689, 31840, 547, 23969, 269, 674, 1460, 519, 10943, 842, 609, 16945, 610, 21083, 6512, 1137, 538, 1896, 4025, 563, 274, 264, 6744, 602, 519, 13942, 593, 519, 14853, 2427, 540, 519, 21015, 568, 1869, 25588, 16119, 269, 1403, 711, 267, 4894, 519, 6512, 1137, 543, 10943, 842, 543, 1065, 3789, 519, 6186, 2394, 519, 13942, 666, 581, 5433, 1354, 1201, 30480, 519, 10943, 842, 538, 1747, 269, 630, 2252, 519, 13942, 3112, 581, 5433, 267, 519, 6408, 1058, 581, 3144, 547, 519, 14282, 6413, 585, 14849, 4879, 8094, 275, 264, 15233, 606, 6186, 521, 1782, 267, 1373, 6297, 547, 2057, 795, 18732, 519, 13676, 6186, 693, 1022, 942, 269, 1677, 2569, 11926, 267, 2327, 602, 519, 6408, 779, 11263, 616, 5594, 2362, 982, 519, 23969, 4745, 269, 9255, 519, 1279, 3490, 540, 519, 21083, 6512, 720, 1524, 519, 4099, 540, 519, 1560, 609, 519, 1448, 693, 519, 23969, 563, 276, 264, 6215, 760, 519, 521, 1782, 3297, 519, 13676, 6186, 543, 1472, 519, 8405, 269, 20780, 909, 519, 2539, 1448, 543, 17063, 519, 7475, 1927, 593, 519, 13676, 2427, 269, 6744, 602, 519, 1688, 568, 1869, 2362, 982, 519, 23969, 950, 519, 2407, 2597, 540, 519, 6186, 568, 4371, 676, 519, 521, 1782, 563, 277, 264, 13159, 519, 521, 1782, 693, 519, 23969, 676, 8744, 519, 1448, 4464, 547, 519, 4395, 540, 519, 6186, 269, 24344, 519, 1448, 547, 519, 4395, 4494, 540, 519, 6512, 720, 609, 513, 3106, 8930, 267, 5329, 519, 8930, 268, 3650, 1448, 1524, 2072, 585, 3106, 563, 278, 264, 15566, 547, 2638, 519, 6408, 779, 13942, 543, 2681, 540, 519, 31840, 1169, 1906, 3764, 2394, 519, 5945, 814, 1044, 12290, 676, 513, 4387, 269, 1403, 1022, 2101, 2242, 616, 7074, 267, 3489, 948, 2712, 326, 1836, 563, 279, 264, 1280, 606, 23969, 4745, 610, 5580, 6186, 5945, 267, 798, 711, 3801, 547, 2901, 18846, 610, 2786, 523, 519, 18215, 855, 1450, 519, 6408, 547, 1489, 621, 5128, 538, 519, 1034, 6899, 2990, 269, 634, 6408, 1058, 581, 5280, 547, 2901, 1694, 610, 9114, 1524, 267, 4470, 593, 1010, 1378, 13283, 543, 1377, 540, 1928, 269, 4107, 1004, 786, 4782, 547, 9114, 1524, 563, 280, 264, 8081, 519, 13676, 18215, 609, 10788, 3298, 610, 29198, 563, 16605, 538, 2247, 602, 12391, 585, 513, 17795, 6408, 3322, 7303, 610, 4227, 519, 8594, 540, 8710, 267, 7303, 2417, 5945, 267, 543, 17212, 1324, 1928, 269, 674, 847, 999, 616, 1419, 7294, 676, 3441, 547, 1973, 8043, 543, 13285, 865, 14849, 2564, 4879, 568, 4105, 269, 11910, 585, 606, 5605, 592, 766, 5612, 269, 0, 763, 21519, 631, 629, 773, 729, 1101, 1336, 538, 31489, 322, 644, 1962, 2074, 10921, 630, 294, 6130, 545, 281, 590, 1640, 571, 577, 323, 932, 4068, 932, 340, 603, 321, 515, 7398, 1070, 851, 540, 519, 1459, 1554, 7027, 9351, 540, 667, 636, 325, 1845, 543, 717, 9994, 599, 267, 5449, 10315, 538, 3162, 13523, 10430, 267, 1141, 789, 4371, 513, 1920, 10160, 689, 2038, 2053, 543, 741, 1101, 5638, 7902, 593, 519, 2038, 14829, 20061, 3144, 676, 519, 2038, 18301, 540, 6628, 547, 3313, 519, 2557, 540, 21259, 540, 741, 5396, 563, 293, 1430, 631, 20625, 568, 513, 14070, 1915, 538, 670, 9007, 9253, 6807, 781, 3209, 22994, 344, 5937, 1157, 630, 6977, 272, 5148, 3134, 7716, 540, 631, 20625, 3794, 659, 1512, 267, 538, 519, 17127, 15142, 540, 19778, 563, 30131, 667, 919, 585, 519, 631, 629, 773, 1920, 454, 1607, 1357, 2985, 2982, 1152, 513, 1507, 21626, 540, 938, 631, 629, 773, 1382, 269, 6271, 476, 4817, 1913, 630, 278, 3515, 540, 1257, 264, 8720, 519, 1296, 476, 6344, 543, 476, 6344, 271, 616, 3769, 896, 519, 1888, 7216, 631, 629, 773, 3778, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 269, 0, 2171, 782, 4126, 602, 649, 1131, 2760, 1265, 6000, 538, 513, 2990, 1141, 649, 616, 538, 26525, 991, 540, 1973, 269, 1717, 267, 971, 1919, 616, 1419, 3564, 938, 1852, 269, 4658, 666, 6336, 1713, 5666, 540, 1973, 950, 789, 1995, 3978, 7063, 610, 10929, 2101, 6391, 269, 2368, 10108, 849, 3970, 519, 1560, 779, 2702, 547, 3132, 1973, 267, 899, 6797, 2068, 269, 19768, 540, 1973, 568, 1572, 16562, 8598, 269, 769, 971, 2665, 267, 835, 1131, 991, 513, 13816, 4288, 540, 24603, 1973, 547, 11177, 835, 779, 1973, 2157, 563, 14532, 540, 10552, 3690, 325, 16272, 454, 763, 1686, 540, 713, 5650, 666, 581, 14360, 1394, 547, 519, 476, 1704, 628, 2540, 267, 1141, 3744, 3459, 547, 1449, 13816, 16272, 1063, 2831, 269, 634, 1101, 13816, 4288, 1063, 606, 3662, 267, 538, 713, 2013, 513, 13265, 267, 543, 513, 1480, 729, 6592, 538, 476, 14917, 278, 269, 2368, 8374, 2663, 3361, 713, 26821, 547, 581, 17049, 269, 769, 519, 2038, 476, 866, 628, 2540, 267, 3744, 3459, 19234, 609, 1480, 3562, 25993, 1973, 13816, 16272, 269, 634, 1967, 2557, 585, 891, 5773, 729, 827, 476, 2004, 270, 2004, 563, 2005, 729, 711, 2394, 476, 5002, 272, 602, 519, 22341, 21997, 20913, 8092, 7322, 518, 1336, 602, 1973, 7648, 2291, 538, 3425, 799, 3361, 930, 2010, 540, 1973, 547, 581, 22424, 26702, 609, 1866, 269, 901, 666, 3006, 2014, 14603, 13027, 6547, 267, 5563, 267, 610, 3668, 540, 4398, 269, 901, 6602, 6045, 519, 1970, 1967, 2557, 540, 3105, 13816, 16272, 563, 7804, 8092, 7322, 518, 10660, 1229, 519, 2048, 288, 645, 744, 685, 543, 681, 1127, 639, 1973, 1895, 1062, 543, 922, 17356, 1063, 22881, 543, 519, 3461, 8391, 1973, 269, 1280, 1010, 960, 267, 646, 4465, 513, 17587, 15356, 538, 6925, 269, 4595, 1287, 267, 1973, 13816, 16272, 814, 1831, 1454, 10930, 269, 4653, 267, 621, 568, 1851, 519, 1034, 8912, 5773, 5645, 856, 538, 10506, 5001, 563, 9202, 19087, 10552, 454, 763, 5916, 2591, 540, 5870, 519, 2564, 3747, 585, 1973, 543, 519, 1981, 540, 1973, 20675, 4784, 3676, 723, 9415, 3646, 2509, 3384, 5841, 1973, 31431, 269, 6270, 17634, 568, 2965, 711, 1007, 269, 5617, 10079, 621, 610, 711, 267, 2094, 519, 476, 1428, 628, 2540, 267, 1004, 723, 6836, 1210, 15559, 899, 10729, 267, 5144, 267, 543, 9174, 607, 1973, 31431, 267, 609, 2370, 1967, 267, 540, 1576, 2336, 2171, 616, 513, 2370, 6251, 547, 4466, 513, 14323, 12990, 2221, 269, 6884, 267, 2550, 949, 1152, 991, 519, 4320, 540, 5277, 538, 741, 18072, 547, 581, 17468, 269, 2048, 24127, 4228, 619, 685, 602, 798, 711, 723, 5135, 21307, 11538, 3601, 723, 1044, 6707, 11827, 585, 713, 3483, 543, 616, 4122, 2139, 1472, 519, 1158, 563, 2414, 2070, 519, 2347, 2376, 267, 24049, 547, 3807, 2296, 12139, 269, 0, 288, 20624, 910, 15618, 476, 3422, 274, 454, 18439, 519, 3309, 8134, 540, 519, 8241, 11782, 609, 713, 10694, 543, 2143, 4786, 269, 7179, 539, 538, 5181, 476, 3422, 274, 609, 519, 2376, 834, 763, 5590, 339, 1194, 5101, 267, 519, 4446, 8175, 24035, 267, 519, 4741, 4799, 17273, 12025, 281, 476, 1839, 1535, 476, 866, 538, 630, 277, 3451, 1535, 476, 275, 4281, 6515, 994, 24246, 713, 4786, 593, 10934, 307, 17311, 28022, 0, 24979, 1662, 1449, 16863, 676, 519, 2817, 23681, 29853, 8881, 10029, 630, 26822, 4811, 288, 264, 543, 15928, 4659, 585, 23681, 8881, 630, 2862, 9391, 264, 1611, 519, 1158, 547, 1286, 3549, 269, 31055, 513, 2947, 3613, 541, 3106, 12773, 610, 513, 968, 306, 2378, 652, 2961, 769, 4706, 4147, 892, 11090, 1467, 666, 3160, 5458, 6455, 267, 865, 3678, 5474, 543, 3106, 8041, 3335, 6108, 936, 1269, 279, 2929, 12422, 593, 3875, 16154, 4255, 267, 782, 547, 1294, 875, 1142, 1286, 588, 2931, 909, 543, 1018, 9283, 1522, 581, 2009, 269, 2290, 1883, 5057, 540, 891, 4255, 281, 16154, 1449, 546, 27186, 563, 9213, 267, 546, 27186, 616, 2813, 547, 2992, 782, 28486, 543, 6502, 267, 538, 606, 4674, 547, 1655, 3589, 519, 2360, 540, 513, 16154, 593, 1022, 2016, 1268, 269, 634, 28628, 8633, 16154, 1449, 546, 27186, 616, 1031, 538, 1312, 519, 2136, 2276, 543, 2342, 585, 782, 28882, 16154, 4152, 269, 634, 3312, 28628, 8633, 2203, 4564, 519, 3328, 812, 267, 610, 519, 968, 2004, 628, 12656, 1417, 850, 5256, 1848, 30557, 476, 276, 3952, 476, 280, 6279, 7381, 267, 646, 22179, 476, 10204, 6550, 269, 1703, 568, 849, 513, 3044, 2937, 4775, 546, 16244, 267, 1126, 546, 27186, 540, 8795, 6502, 267, 543, 513, 3677, 5256, 546, 16244, 630, 1492, 968, 4817, 628, 12656, 1417, 850, 5256, 25257, 7893, 476, 277, 3952, 476, 273, 6279, 7381, 543, 20604, 476, 23417, 6550, 563, 4407, 519, 1344, 6394, 689, 519, 946, 540, 519, 28628, 8633, 546, 27186, 568, 15069, 1271, 543, 540, 1871, 547, 519, 2872, 267, 621, 568, 849, 15877, 269, 4208, 286, 5221, 621, 568, 1759, 593, 519, 946, 540, 546, 27186, 799, 2099, 519, 968, 320, 2071, 892, 812, 543, 4807, 540, 5756, 2250, 267, 711, 519, 1459, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 519, 3328, 5256, 22179, 3592, 476, 4198, 6550, 267, 543, 519, 476, 4817, 628, 12656, 1417, 850, 5256, 22179, 936, 476, 17734, 6550, 563, 763, 15509, 849, 5359, 602, 936, 835, 21017, 540, 4079, 538, 519, 2136, 2276, 616, 17324, 543, 1776, 3791, 616, 14968, 267, 1498, 711, 17324, 269, 634, 7678, 568, 6654, 269, 2060, 519, 968, 30182, 1977, 779, 892, 2597, 17891, 532, 865, 6385, 267, 519, 16154, 1449, 546, 27186, 4867, 1373, 1031, 616, 711, 8308, 10452, 519, 10256, 543, 15915, 593, 519, 4155, 2221, 563, 288, 2487, 1353, 1336, 602, 8377, 4679, 1312, 513, 1268, 779, 1981, 540, 3478, 883, 606, 8009, 543, 24569, 3978, 7063, 689, 606, 8009, 269, 12824, 3494, 602, 4057, 1286, 3562, 16512, 3514, 568, 519, 3056, 2014, 540, 10913, 543, 7063, 610, 2669, 689, 10913, 585, 1346, 945, 616, 14968, 610, 17324, 269, 1403, 513, 1268, 779, 1560, 2497, 9775, 689, 519, 1560, 2497, 1031, 1282, 16154, 4152, 267, 519, 3106, 2934, 540, 519, 6174, 630, 572, 520, 26797, 267, 2011, 321, 4711, 267, 3092, 4700, 949, 711, 1599, 5265, 585, 602, 1268, 269, 1306, 513, 1267, 267, 3173, 616, 11319, 585, 3678, 5474, 547, 1374, 6472, 609, 28253, 3106, 2934, 538, 1931, 547, 2327, 519, 19993, 4027, 540, 782, 1004, 267, 7488, 540, 741, 2450, 269, 0, 288, 3059, 15040, 568, 513, 2186, 540, 6310, 4480, 799, 568, 1031, 547, 19472, 519, 13597, 543, 8699, 540, 513, 5048, 267, 3301, 610, 3059, 3561, 269, 7913, 22782, 616, 1031, 547, 6461, 6510, 519, 9115, 540, 5907, 6054, 269, 1677, 25274, 1129, 513, 3561, 267, 835, 2115, 513, 3059, 9517, 269, 1656, 2899, 519, 3059, 9517, 568, 5833, 267, 596, 666, 11578, 621, 609, 3292, 602, 1489, 3059, 22782, 267, 971, 607, 23489, 3600, 13681, 520, 543, 9786, 31326, 269, 3973, 596, 666, 946, 519, 1982, 779, 968, 14294, 892, 4183, 547, 1039, 707, 3059, 15040, 547, 6054, 563, 24916, 519, 3059, 6178, 2137, 267, 835, 849, 2115, 547, 723, 12333, 3454, 14261, 1373, 2944, 563, 19445, 6178, 1155, 25890, 630, 9169, 290, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 7209, 1449, 1572, 519, 3733, 619, 23394, 7714, 799, 666, 948, 7522, 1524, 519, 1826, 540, 15908, 799, 786, 9029, 547, 596, 269, 272, 454, 2862, 269, 8382, 519, 2055, 2630, 563, 2080, 616, 930, 2055, 602, 941, 9862, 689, 2048, 3963, 20122, 9812, 616, 12830, 685, 2376, 676, 31509, 18146, 2160, 6732, 563, 288, 269, 3657, 972, 1919, 596, 10150, 3257, 538, 707, 6689, 602, 596, 1131, 899, 547, 30603, 888, 289, 269, 1772, 972, 513, 1880, 5578, 596, 1131, 899, 547, 1020, 888, 290, 269, 769, 1018, 2081, 798, 596, 1616, 707, 15908, 547, 4161, 610, 1689, 596, 888, 291, 269, 1684, 596, 4782, 547, 2972, 3257, 1919, 4805, 610, 609, 1866, 888, 292, 269, 1684, 596, 2972, 6735, 888, 274, 269, 3371, 513, 1592, 540, 12348, 1806, 7396, 689, 2048, 3963, 20122, 9812, 616, 12830, 685, 2376, 676, 31509, 18146, 2160, 6732, 563, 296, 269, 10076, 543, 3929, 8171, 563, 6441, 626, 2287, 547, 2575, 563, 5937, 3863, 532, 543, 7206, 563, 11219, 334, 1456, 513, 1514, 8630, 610, 2146, 563, 268, 5522, 11691, 513, 2319, 7328, 563, 6261, 2001, 532, 610, 1199, 23550, 563, 7922, 690, 2022, 21433, 689, 0, 29394, 281, 10228, 2160, 4964, 454, 23917, 281, 476, 278, 1556, 737, 321, 454, 26705, 11711, 281, 21584, 454, 763, 1133, 21129, 1639, 7169, 676, 2073, 3883, 12834, 281, 1103, 519, 11786, 1857, 7521, 936, 2413, 1977, 3885, 267, 519, 5318, 2242, 538, 1920, 1272, 734, 1492, 4473, 540, 2582, 267, 1079, 1790, 599, 13765, 267, 543, 1482, 20967, 3237, 734, 17647, 1419, 1044, 30199, 585, 19394, 13919, 543, 29043, 1453, 269, 14301, 2390, 21722, 1382, 609, 519, 1453, 540, 519, 4008, 4838, 267, 22186, 22220, 717, 3205, 8761, 602, 621, 568, 711, 513, 3668, 540, 834, 26967, 2418, 2437, 855, 14461, 1514, 543, 2804, 4229, 602, 1118, 621, 2352, 547, 723, 513, 7524, 543, 8149, 1920, 543, 960, 1272, 269, 6736, 519, 13675, 540, 2021, 883, 519, 13781, 543, 519, 20747, 2590, 540, 2899, 5693, 3989, 4008, 6302, 267, 2367, 543, 2021, 2661, 538, 513, 1158, 1141, 519, 7569, 540, 13326, 15970, 543, 960, 267, 13190, 543, 7029, 267, 942, 543, 2724, 616, 2451, 7361, 796, 637, 9407, 269, 717, 3205, 9060, 602, 1247, 606, 11566, 5354, 540, 1762, 2367, 543, 2021, 1294, 606, 552, 6549, 9107, 3666, 1369, 8149, 3347, 607, 519, 4998, 267, 2221, 781, 1514, 543, 2804, 19178, 2611, 1759, 593, 6671, 734, 663, 1631, 28572, 734, 23251, 18728, 1063, 3694, 7773, 940, 543, 1416, 339, 1136, 269, 769, 713, 9698, 12511, 267, 2367, 543, 2021, 1020, 20849, 2994, 267, 609, 2021, 2566, 532, 1582, 3146, 18910, 543, 2367, 5275, 513, 1007, 2757, 1143, 269, 2060, 8296, 585, 782, 5380, 267, 717, 3205, 13187, 602, 2436, 835, 16976, 547, 2285, 538, 547, 12926, 12604, 2331, 3347, 610, 547, 2057, 7365, 15587, 267, 891, 4485, 616, 2034, 1532, 652, 6114, 267, 711, 2123, 7375, 610, 7915, 10305, 267, 543, 789, 786, 6521, 952, 1007, 3681, 666, 581, 2813, 547, 948, 1004, 3035, 741, 552, 6549, 9107, 17050, 269, 634, 1133, 21129, 1639, 7169, 3091, 2312, 7840, 585, 519, 5686, 540, 9036, 543, 2146, 2242, 602, 1131, 1655, 3142, 827, 513, 811, 552, 6549, 9107, 1920, 1272, 734, 320, 1007, 8112, 693, 960, 543, 693, 1753, 602, 2640, 3885, 267, 7512, 513, 14762, 4346, 267, 543, 2337, 2021, 543, 2367, 11753, 2648, 543, 960, 269, 16217, 1047, 585, 519, 10434, 16225, 281, 834, 7021, 519, 2250, 1614, 5756, 267, 1514, 1689, 814, 27762, 6306, 519, 2025, 1922, 5831, 539, 4998, 540, 519, 6046, 1920, 734, 663, 717, 3205, 814, 1305, 856, 547, 4786, 1141, 519, 4773, 723, 15354, 1701, 4534, 6124, 3840, 5403, 834, 309, 16191, 585, 519, 11606, 543, 4796, 528, 540, 519, 21981, 689, 713, 796, 15879, 1819, 5108, 21722, 998, 32753, 12012, 1523, 687, 540, 2123, 543, 3318, 1272, 1701, 4534, 8530, 14215, 28315, 834, 1607, 568, 711, 513, 6370, 602, 666, 581, 4465, 609, 3656, 2591, 610, 9086, 269, 8786, 267, 621, 1131, 17216, 581, 7494, 29211, 676, 519, 8574, 540, 2101, 1514, 4507, 971, 607, 8471, 1126, 1416, 269, 1809, 693, 922, 4295, 267, 713, 568, 513, 4339, 602, 4249, 856, 1369, 5321, 543, 1063, 4891, 269, 1656, 607, 717, 3205, 781, 1382, 2306, 2312, 267, 519, 4339, 814, 711, 4957, 782, 602, 13497, 538, 519, 2250, 476, 1789, 1296, 1701, 4534, 763, 1977, 18370, 1051, 454, 12606, 610, 1224, 634, 1133, 21129, 1639, 7169, 1433, 676, 14467, 7735, 2630, 547, 3643, 519, 1433, 4647, 3896, 269, 1703, 616, 2789, 3898, 2139, 585, 596, 547, 3442, 630, 303, 4206, 267, 552, 8530, 267, 9022, 1040, 0, 21446, 622, 7170, 281, 15509, 281, 18771, 731, 13937, 454, 1607, 2546, 568, 9738, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1040, 634, 2546, 2488, 1344, 543, 2200, 593, 16247, 28401, 630, 332, 755, 731, 3154, 1040, 834, 314, 1862, 316, 590, 5285, 584, 28401, 568, 513, 1826, 540, 3114, 13137, 8665, 269, 1452, 5686, 540, 8069, 616, 1572, 5738, 545, 1218, 610, 1025, 3563, 532, 8069, 267, 1317, 789, 2014, 1025, 3563, 532, 540, 519, 2960, 543, 29935, 17011, 593, 3346, 269, 30385, 316, 590, 5285, 584, 28401, 568, 849, 1634, 607, 834, 332, 755, 731, 3154, 610, 28401, 8665, 2437, 610, 676, 519, 4108, 1374, 725, 670, 267, 18074, 267, 543, 10226, 269, 30385, 316, 590, 5285, 584, 28401, 3006, 24462, 899, 13342, 267, 19637, 267, 610, 28401, 543, 3006, 814, 1100, 17627, 269, 898, 666, 581, 513, 11517, 630, 1492, 31529, 1106, 540, 513, 5277, 1070, 606, 522, 1176, 17856, 3293, 5277, 267, 610, 513, 4396, 269, 30385, 316, 590, 5285, 584, 28401, 666, 581, 2312, 547, 5835, 610, 6960, 950, 621, 568, 538, 5277, 610, 4396, 1106, 4799, 28495, 619, 585, 8376, 6513, 543, 10644, 281, 5291, 2517, 4178, 6983, 26501, 10993, 270, 0, 24589, 14702, 568, 513, 2749, 1634, 585, 1082, 1919, 269, 898, 568, 1141, 519, 16672, 540, 7115, 729, 9896, 538, 476, 10082, 277, 267, 543, 621, 729, 849, 519, 1101, 3854, 540, 519, 2136, 2276, 269, 1809, 835, 1249, 827, 15740, 568, 711, 865, 1134, 8153, 281, 621, 568, 1753, 547, 5176, 476, 274, 267, 1822, 9597, 1023, 13556, 593, 519, 5011, 540, 5321, 543, 5656, 1472, 519, 2749, 269, 769, 1249, 267, 621, 568, 1767, 602, 15740, 814, 811, 9597, 1023, 982, 1022, 824, 2749, 538, 519, 1158, 267, 609, 519, 9868, 540, 7507, 269, 1215, 1705, 713, 2097, 547, 581, 888, 5415, 982, 476, 736, 1296, 3516, 267, 513, 1715, 14948, 7376, 3957, 13191, 13642, 3323, 513, 1982, 30010, 30223, 6107, 609, 5159, 547, 5862, 9597, 1023, 593, 513, 1906, 5656, 1472, 519, 2749, 269, 4813, 713, 1507, 1788, 267, 1945, 9589, 5949, 269, 634, 1762, 1004, 3238, 5280, 547, 1711, 15999, 4773, 540, 1148, 267, 855, 972, 941, 824, 267, 5310, 811, 1271, 2640, 269, 634, 1762, 1004, 4121, 547, 12840, 543, 1205, 2059, 609, 1082, 1114, 5686, 540, 1004, 1282, 519, 1585, 3268, 2838, 547, 5862, 543, 1374, 513, 544, 1116, 269, 1358, 4121, 547, 581, 3743, 267, 1317, 789, 2877, 547, 1246, 513, 8430, 547, 1118, 2386, 519, 9597, 1023, 941, 6192, 269, 1358, 849, 4121, 547, 1491, 11348, 538, 741, 2146, 269, 898, 568, 2182, 585, 1022, 17055, 547, 1294, 519, 20498, 6272, 543, 711, 1745, 10583, 547, 581, 513, 851, 540, 15740, 563, 12648, 513, 3802, 1472, 930, 540, 519, 30529, 16973, 594, 15740, 267, 16973, 2407, 540, 7745, 9486, 543, 1396, 339, 1229, 4395, 3268, 267, 543, 596, 786, 1265, 4190, 1568, 540, 1148, 593, 519, 5011, 543, 18651, 1206, 540, 5656, 269, 2986, 1576, 789, 9597, 1023, 616, 711, 1175, 538, 4057, 16973, 267, 855, 811, 3413, 23308, 3283, 607, 1134, 269, 7981, 21772, 1491, 14666, 547, 1114, 2694, 540, 519, 2749, 547, 1294, 519, 1585, 9597, 1023, 267, 799, 2039, 689, 5458, 23609, 540, 3140, 12325, 267, 547, 2749, 2675, 16747, 267, 547, 10207, 18995, 519, 3309, 6803, 2516, 602, 1289, 15740, 1753, 563, 2026, 513, 1267, 540, 922, 1967, 267, 519, 544, 1116, 1982, 2813, 676, 13191, 13642, 814, 1631, 1831, 519, 4182, 779, 4102, 1857, 1148, 1982, 543, 513, 2203, 585, 547, 30223, 6107, 563, 1103, 1931, 547, 1118, 713, 8574, 811, 2502, 547, 3988, 267, 519, 2278, 1223, 723, 3769, 454, 296, 513, 5618, 1686, 540, 15740, 454, 2862, 4605, 540, 930, 540, 519, 9597, 1023, 454, 7656, 606, 5967, 609, 513, 1982, 544, 1116, 626, 454, 10376, 4182, 814, 922, 1378, 15116, 1915, 799, 30193, 621, 689, 1866, 269, 1809, 519, 1004, 540, 519, 1158, 723, 811, 2798, 538, 799, 789, 616, 782, 899, 1142, 824, 982, 2798, 538, 799, 789, 616, 1114, 269, 2290, 1826, 540, 1268, 602, 568, 1455, 538, 1169, 2197, 568, 519, 835, 945, 2141, 6836, 547, 798, 607, 2370, 607, 646, 7654, 666, 543, 547, 1205, 607, 1454, 538, 2132, 607, 646, 666, 269, 3571, 6587, 267, 519, 812, 945, 568, 538, 519, 4356, 540, 3257, 811, 982, 568, 14553, 2556, 543, 568, 4712, 547, 3398, 1018, 568, 6035, 538, 2132, 267, 568, 4686, 10876, 563, 13828, 891, 2010, 616, 2356, 17499, 540, 741, 1915, 269, 634, 812, 945, 30417, 4674, 568, 2141, 6158, 827, 1010, 2048, 23412, 685, 282, 646, 5526, 547, 1589, 602, 2486, 7640, 525, 1864, 513, 16990, 2653, 1272, 269, 634, 812, 945, 568, 2141, 3257, 811, 982, 1010, 22406, 12909, 540, 2048, 323, 583, 625, 685, 7959, 602, 519, 1367, 568, 538, 7963, 547, 2486, 267, 543, 711, 2486, 547, 519, 1367, 269, 1306, 513, 1267, 540, 741, 2070, 267, 9444, 540, 891, 2367, 14659, 602, 646, 31136, 693, 782, 9490, 569, 563, 763, 812, 945, 12909, 540, 2048, 323, 583, 625, 685, 912, 14738, 1631, 267, 594, 993, 3168, 693, 513, 15808, 2407, 610, 882, 923, 267, 513, 4015, 540, 814, 15515, 839, 267, 2025, 2389, 574, 619, 267, 1884, 2294, 267, 15455, 269, 9406, 1631, 594, 993, 561, 565, 1782, 693, 513, 15808, 2407, 540, 2835, 269, 8786, 602, 779, 1318, 269, 1403, 596, 723, 930, 22302, 6666, 630, 1492, 3257, 2557, 568, 827, 1269, 8660, 264, 543, 616, 3168, 547, 3986, 707, 2542, 1995, 267, 1287, 594, 3810, 2303, 596, 2015, 11449, 606, 552, 22345, 518, 269, 661, 22345, 619, 616, 13868, 519, 2835, 540, 2025, 267, 543, 594, 10950, 873, 609, 1930, 7916, 630, 553, 596, 1058, 1916, 2252, 596, 10093, 1406, 4862, 540, 606, 552, 22345, 518, 543, 1810, 1406, 917, 1018, 621, 568, 267, 1287, 5225, 11863, 519, 1739, 7778, 269, 1323, 552, 22345, 518, 568, 513, 3926, 602, 2636, 596, 547, 1224, 552, 268, 9248, 269, 1323, 552, 26247, 568, 513, 1433, 27480, 8313, 538, 3059, 1106, 267, 9967, 540, 1257, 267, 2592, 267, 610, 1312, 267, 543, 3812, 593, 267, 3370, 998, 267, 543, 28505, 593, 5904, 610, 824, 5907, 3457, 269, 6884, 519, 6697, 540, 513, 6671, 9102, 1433, 267, 552, 268, 9248, 666, 849, 581, 4535, 3059, 269, 634, 10228, 9218, 610, 2296, 11225, 519, 552, 26247, 607, 968, 534, 5907, 4528, 540, 513, 9102, 1433, 267, 968, 8117, 552, 26247, 666, 543, 798, 2291, 1510, 1022, 9102, 6697, 563, 3383, 1631, 596, 917, 1018, 606, 552, 22345, 518, 568, 269, 1809, 596, 1869, 949, 581, 11842, 1946, 789, 2322, 9102, 2835, 547, 17847, 269, 661, 22345, 619, 616, 9120, 547, 9102, 2835, 1317, 789, 4688, 2230, 267, 616, 13476, 7874, 267, 543, 1683, 5363, 2542, 4388, 543, 2645, 602, 9102, 2835, 798, 711, 563, 292, 22345, 619, 616, 9120, 547, 9102, 2835, 1317, 789, 4688, 2230, 269, 634, 3328, 552, 22345, 518, 666, 4558, 5215, 540, 3059, 1433, 267, 3246, 513, 2357, 3386, 5399, 693, 707, 31840, 269, 1548, 568, 811, 267, 1373, 519, 2450, 543, 2597, 540, 513, 6094, 2182, 3724, 267, 519, 552, 22345, 518, 3294, 568, 5266, 4620, 924, 269, 898, 568, 2653, 547, 3180, 543, 666, 3514, 538, 513, 17927, 1504, 610, 5618, 13826, 3362, 269, 901, 2306, 7829, 11432, 2730, 581, 1335, 16251, 971, 607, 2782, 543, 13458, 267, 17555, 27239, 2088, 267, 543, 15776, 631, 16014, 1963, 513, 30089, 269, 12344, 519, 1152, 2721, 3724, 547, 519, 2230, 22766, 2460, 540, 606, 552, 22345, 518, 568, 602, 621, 3340, 596, 547, 1265, 1007, 1919, 547, 2322, 593, 707, 21684, 563, 1103, 1840, 267, 552, 22345, 619, 616, 9120, 547, 2835, 1317, 789, 616, 13476, 7874, 269, 634, 3328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11069, 1039, 281, 1379, 318, 271, 318, 3847, 7154, 336, 318, 3698, 264, 8679, 1156, 576, 513, 271, 281, 834, 320, 19749, 510, 271, 257, 18679, 5228, 562, 562, 336, 337, 723, 513, 336, 337, 271, 281, 834, 320, 9745, 630, 336, 2608, 678, 264, 9881, 510, 476, 271, 257, 1210, 513, 271, 676, 1138, 335, 454, 1156, 576, 834, 263, 320, 9745, 630, 336, 2608, 678, 264, 910, 476, 272, 264, 1341, 476, 272, 476, 815, 513, 9745, 630, 336, 2608, 678, 17983, 676, 1138, 335, 454, 5976, 737, 561, 723, 834, 320, 9745, 630, 336, 2608, 678, 264, 815, 533, 265, 331, 265, 330, 1341, 476, 272, 257, 676, 1138, 335, 454, 1156, 576, 834, 320, 9745, 630, 337, 2608, 7117, 264, 1341, 533, 2608, 476, 271, 815, 476, 272, 1341, 533, 2608, 630, 331, 265, 330, 17983, 676, 630, 338, 11069, 1039, 281, 1035, 5334, 31663, 994, 1156, 576, 5212, 336, 281, 834, 867, 533, 630, 320, 317, 337, 264, 546, 341, 323, 7117, 4840, 684, 325, 13783, 3921, 5091, 1204, 525, 314, 22131, 13240, 316, 1379, 8548, 738, 314, 22131, 13240, 316, 28571, 318, 7116, 476, 676, 19046, 454, 5228, 5212, 336, 314, 684, 19507, 539, 546, 341, 323, 318, 3698, 316, 3489, 546, 1141, 546, 281, 834, 336, 815, 3921, 533, 630, 320, 317, 337, 264, 2608, 546, 257, 676, 19046, 454, 346, 817, 2541, 546, 272, 281, 834, 323, 9881, 510, 476, 272, 4840, 5228, 6305, 318, 26476, 314, 29996, 546, 272, 316, 3489, 623, 1141, 623, 281, 834, 18905, 623, 257, 834, 303, 546, 341, 323, 546, 257, 676, 19046, 454, 5228, 546, 546, 341, 323, 8548, 738, 314, 29996, 623, 263, 273, 1070, 540, 834, 867, 533, 630, 320, 317, 337, 17983, 316, 723, 623, 336, 281, 834, 303, 546, 341, 323, 7117, 257, 676, 1138, 335, 454, 5228, 513, 336, 623, 263, 272, 264, 623, 336, 723, 1309, 303, 281, 257, 19817, 31870, 630, 320, 317, 16733, 333, 910, 476, 272, 264, 2820, 623, 264, 910, 476, 272, 264, 562, 257, 676, 19046, 454, 5228, 623, 336, 3489, 521, 1141, 521, 281, 834, 336, 815, 623, 265, 338, 257, 11200, 532, 546, 341, 323, 318, 3698, 676, 19046, 454, 17647, 623, 271, 281, 834, 303, 9881, 510, 476, 271, 257, 1210, 623, 263, 272, 264, 6305, 318, 271, 676, 910, 630, 22364, 524, 4186, 337, 267, 1138, 335, 994, 5228, 623, 263, 273, 264, 3489, 512, 1141, 512, 281, 834, 323, 815, 623, 265, 339, 257, 11200, 532, 546, 341, 323, 318, 3698, 676, 19046, 454, 5228, 546, 521, 512, 623, 271, 476, 723, 521, 9166, 834, 867, 533, 630, 320, 317, 337, 264, 2608, 512, 815, 521, 257, 676, 7223, 454, 17647, 834, 867, 533, 630, 320, 317, 337, 264, 2608, 512, 265, 337, 815, 678, 2608, 3921, 533, 630, 320, 317, 337, 264, 2608, 512, 257, 676, 7223, 454, 1156, 576, 1163, 338, 281, 834, 320, 22677, 867, 533, 630, 320, 317, 337, 264, 2608, 512, 265, 337, 264, 815, 16733, 320, 9745, 678, 264, 9745, 3921, 533, 630, 320, 317, 337, 4297, 9745, 512, 4840, 2421, 630, 338, 11069, 1152, 281, 1379, 8548, 738, 994, 17647, 834, 314, 9230, 320, 9745, 678, 264, 9745, 3921, 533, 630, 320, 317, 337, 4297, 9745, 512, 284, 476, 272, 317, 339, 316, 630, 7116, 533, 264, 4840, 2421, 630, 22364, 7249, 318, 10339, 267, 4341, 3921, 994, 6533, 723, 555, 281, 834, 314, 9230, 320, 9745, 678, 264, 9745, 3921, 533, 630, 320, 317, 337, 4297, 9745, 512, 284, 476, 272, 316, 630, 7116, 533, 264, 4840, 5228, 7249, 318, 272, 5091, 1204, 525, 314, 29996, 555, 316, 1163, 338, 723, 19073, 271, 281, 834, 335, 546, 341, 323, 513, 22677, 867, 533, 630, 320, 317, 337, 264, 2608, 512, 265, 337, 264, 910, 476, 272, 257, 676, 1138, 335, 454, 5228, 562, 336, 337, 521, 521, 262, 723, 834, 263, 333, 910, 476, 272, 264, 2820, 623, 815, 3921, 533, 630, 320, 317, 337, 264, 2608, 512, 265, 337, 257, 1210, 623, 271, 676, 1138, 335, 454, 5976, 1309, 303, 723, 834, 19817, 31870, 630, 320, 22677, 867, 533, 630, 320, 317, 337, 264, 2608, 512, 265, 337, 264, 910, 476, 272, 264, 562, 257, 676, 1138, 335, 454, 5976, 533, 4905, 533, 333, 19073, 271, 723, 8771, 11200, 532, 2941, 31870, 676, 10081, 8679, 1156, 576, 546, 272, 281, 834, 323, 815, 476, 272, 257, 676, 19046, 454, 1156, 576, 522, 281, 834, 867, 533, 630, 320, 317, 337, 264, 815, 7117, 257, 1210, 546, 676, 1138, 335, 454, 5228, 6032, 943, 328, 318, 18905, 314, 1993, 533, 316, 723, 943, 760, 281, 834, 26420, 533, 815, 533, 910, 476, 272, 257, 676, 1138, 335, 454, 346, 25785, 546, 8263, 546, 281, 834, 323, 546, 341, 323, 533, 257, 834, 323, 546, 341, 323, 513, 257, 834, 323, 9881, 510, 476, 272, 4840, 5228, 6032, 314, 684, 19507, 539, 6305, 318, 3698, 316, 546, 723, 31185, 281, 834, 323, 815, 533, 257, 676, 19046, 454, 5228, 562, 723, 562, 1321, 281, 257, 306, 1075, 630, 333, 910, 476, 273, 264, 815, 562, 910, 476, 272, 257, 676, 818, 603, 454, 5976, 17337, 23631, 343, 335, 314, 29996, 546, 263, 273, 25011, 684, 19507, 539, 31185, 3910, 540, 834, 333, 910, 476, 273, 31116, 17647, 555, 271, 281, 834, 335, 546, 341, 323, 513, 9745, 630, 333, 910, 476, 272, 17983, 676, 1138, 335, 454, 5228, 562, 723, 562, 271, 281, 834, 333, 9881, 510, 476, 271, 257, 676, 1138, 335, 454, 5228, 546, 263, 273, 264, 606, 562, 1321, 314, 22131, 13240, 316, 723, 513, 271, 281, 834, 320, 9881, 510, 476, 271, 4840, 2421, 910, 630, 22364, 524, 4186, 337, 267, 1138, 335, 1039, 281, 7154, 336, 318, 3698, 994, 17647, 555, 272, 281, 834, 320, 317, 630, 333, 910, 476, 272, 264, 9881, 510, 476, 271, 257, 1210, 562, 546, 263, 273, 264, 31185, 513, 271, 676, 10081, 454, 5228, 2941, 31870, 28804, 639, 272, 314, 29996, 555, 272, 267, 11200, 539, 2941, 31870, 2639, 323, 341, 323, 4671, 4920, 314, 29996, 533, 333, 7249, 318, 272, 5091, 1204, 525, 314, 29996, 606, 14963, 555, 271, 546, 263, 274, 264, 31185, 454, 17647, 8771, 676, 10081, 8679, 1156, 576, 524, 11985, 281, 834, 19817, 31870, 533, 513, 257, 1210, 2941, 31870, 676, 10081, 454, 5228, 2941, 31870, 318, 10339, 314, 29996, 524, 11985, 267, 540, 678, 316, 2941, 31870, 318, 5570, 1393, 454, 17647, 818, 335, 281, 834, 19817, 31870, 630, 320, 317, 337, 264, 533, 257, 676, 19046, 454, 5228, 535, 12938, 9078, 8077, 314, 29996, 818, 335, 267, 16866, 3921, 5091, 1204, 525, 316, 522, 943, 760, 454, 17647, 834, 336, 546, 341, 323, 630, 335, 910, 476, 272, 17983, 676, 1138, 335, 454, 6533, 3489, 546, 1141, 546, 281, 257, 335, 910, 476, 272, 815, 7117, 2608, 546, 257, 11200, 532, 546, 341, 323, 318, 3698, 676, 19046, 454, 5228, 6305, 318, 271, 6032, 723, 533, 271, 281, 257, 335, 9881, 510, 476, 271, 257, 676, 910, 476, 630, 22364, 524, 4186, 337, 267, 10081, 994, 5228, 533, 271, 546, 723, 834, 335, 1341, 7117, 2608, 476, 271, 815, 476, 272, 1341, 7117, 2608, 546, 257, 676, 1138, 335, 454, 5976, 28571, 318, 7116, 314, 1993, 533, 476, 272, 7117, 267, 21136, 2639, 19651, 7790, 339, 4185, 676, 19046, 454, 336, 539, 692, 12661, 2742, 533, 1442, 28002, 912, 817, 6979, 562, 281, 834, 333, 21759, 476, 273, 257, 543, 562, 336, 337, 281, 834, 333, 910, 476, 272, 815, 7117, 265, 337, 257, 543, 13483, 337, 281, 834, 333, 18016, 7117, 414, 485, 356, 273, 4840, 663, 606, 281, 834, 314, 320, 317, 630, 333, 910, 476, 272, 264, 815, 476, 272, 316, 630, 7116, 562, 264, 4840, 663, 513, 336, 281, 257, 4501, 478, 335, 269, 6305, 533, 31961, 533, 546, 341, 323, 7117, 2340, 509, 370, 2941, 31870, 630, 320, 317, 16733, 333, 910, 476, 272, 264, 2820, 533, 264, 910, 476, 272, 264, 562, 4840, 3333, 3298, 834, 18905, 562, 4840, 684, 325, 13783, 6305, 318, 18905, 318, 26476, 5334, 5720, 314, 1993, 562, 2639, 16513, 8894, 2280, 7790, 2195, 815, 834, 333, 9881, 510, 476, 271, 31961, 562, 9881, 510, 476, 272, 31961, 2485, 361, 630, 4501, 481, 335, 269, 6305, 533, 31961, 533, 546, 341, 323, 562, 31961, 533, 414, 485, 356, 273, 18016, 562, 264, 4840, 5228, 562, 723, 562, 4905, 281, 834, 333, 19749, 510, 271, 257, 834, 333, 19749, 510, 272, 257, 676, 818, 603, 32504, 346, 25785, 533, 8263, 533, 281, 834, 18905, 533, 257, 834, 335, 546, 341, 323, 562, 257, 834, 335, 414, 485, 356, 273, 18016, 562, 4840, 5228, 533, 263, 274, 264, 13483, 337, 723, 834, 335, 22677, 306, 1075, 476, 272, 264, 18016, 7117, 22677, 306, 1075, 476, 272, 17983, 676, 630, 338, 11069, 1039, 281, 1379, 273, 318, 18091, 5334, 13645, 994, 1156, 576, 533, 336, 281, 834, 335, 18016, 7117, 257, 11200, 532, 1163, 318, 3000, 334, 318, 548, 4586, 5228, 533, 1442, 28002, 318, 12661, 2742, 314, 29996, 562, 562, 336, 337, 606, 513, 336, 533, 263, 272, 267, 273, 13580, 476, 7249, 318, 272, 5091, 1204, 525, 454, 17647, 555, 281, 834, 336, 546, 341, 323, 533, 910, 476, 272, 257, 676, 19046, 454, 17647, 834, 335, 910, 476, 272, 9881, 510, 476, 271, 257, 6748, 6305, 318, 613, 318, 273, 314, 29996, 533, 263, 272, 13580, 676, 818, 603, 454, 5976, 17337, 318, 613, 314, 29996, 555, 316, 533, 336, 723, 8771, 676, 818, 603, 7684, 454, 5976, 562, 4905, 1397, 7790, 2195, 676, 19046, 454, 336, 539, 692, 28949, 7352, 656, 585, 3498, 267, 547, 5094, 519, 20800, 2747, 269, 4449, 476, 2608, 994, 12661, 2742, 533, 1442, 28002, 318, 5306, 912, 817, 6979, 562, 281, 834, 333, 21759, 476, 273, 257, 543, 562, 336, 337, 281, 834, 333, 910, 476, 272, 815, 7117, 265, 337, 257, 543, 13483, 337, 281, 834, 333, 18016, 7117, 414, 485, 356, 273, 4840, 663, 606, 281, 834, 314, 320, 317, 630, 333, 910, 476, 272, 264, 815, 476, 272, 316, 630, 7116, 562, 264, 4840, 663, 513, 336, 281, 257, 4501, 478, 335, 269, 6305, 533, 31961, 533, 546, 341, 323, 7117, 2340, 509, 370, 630, 4501, 481, 321, 269, 1496, 320, 317, 9230, 333, 910, 476, 272, 264, 2820, 533, 264, 815, 536, 316, 630, 7116, 562, 264, 31961, 2941, 31870, 630, 321, 910, 476, 272, 264, 562, 264, 4840, 3333, 3298, 834, 18905, 562, 4840, 16513, 8894, 346, 25785, 533, 8263, 533, 281, 834, 18905, 533, 257, 834, 335, 546, 341, 323, 7117, 4840, 5228, 513, 336, 314, 22364, 318, 8971, 316, 533, 3489, 536, 1141, 454, 321, 281, 834, 314, 320, 317, 9230, 333, 910, 476, 272, 264, 2820, 533, 264, 815, 536, 316, 630, 7116, 562, 17983, 834, 19817, 31870, 630, 321, 910, 476, 272, 264, 562, 257, 676, 19046, 454, 346, 817, 2541, 513, 271, 281, 834, 320, 284, 271, 4840, 5228, 562, 606, 723, 834, 314, 271, 815, 476, 272, 316, 630, 7116, 562, 17983, 11200, 532, 513, 271, 1379, 318, 271, 318, 3847, 676, 10081, 454, 1156, 576, 8771, 1210, 562, 676, 630, 338, 11069, 1039, 281, 7154, 336, 318, 3698, 546, 341, 323, 318, 18091, 318, 7116, 318, 18091, 318, 271, 314, 22131, 13240, 8079, 8679, 1156, 576, 513, 271, 281, 834, 320, 19749, 510, 476, 271, 257, 18679, 1156, 576, 513, 272, 281, 834, 320, 21759, 476, 272, 257, 676, 818, 603, 454, 5228, 835, 318, 548, 7272, 1077, 314, 29996, 513, 272, 316, 723, 6622, 281, 834, 272, 18016, 513, 9745, 16733, 333, 910, 476, 272, 264, 2820, 533, 17983, 4586, 346, 817, 2541, 536, 271, 281, 834, 321, 815, 476, 271, 4840, 5228, 533, 263, 273, 264, 562, 336, 337, 723, 834, 263, 333, 910, 476, 272, 264, 1110, 533, 815, 476, 271, 4840, 1952, 569, 630, 338, 11069, 1152, 281, 546, 341, 323, 318, 18091, 318, 7116, 318, 18091, 318, 271, 314, 22131, 13240, 8079, 676, 630, 22364, 546, 341, 323, 8548, 738, 273, 267, 1138, 335, 994, 5976, 1110, 5091, 643, 318, 3225, 1275, 314, 1993, 834, 333, 910, 476, 272, 257, 533, 2639, 17647, 834, 263, 333, 910, 476, 272, 264, 2820, 533, 2608, 533, 284, 562, 910, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5033, 574, 19830, 534, 748, 563, 1103, 519, 3952, 454, 268, 21253, 528, 267, 740, 2265, 528, 543, 18545, 4887, 563, 268, 700, 636, 1962, 673, 4887, 540, 519, 3723, 563, 268, 12384, 2030, 541, 563, 268, 6987, 16428, 6091, 630, 26211, 543, 1279, 1916, 268, 1323, 10262, 543, 17911, 512, 756, 658, 563, 268, 6987, 16428, 2007, 3218, 636, 1279, 639, 543, 4827, 528, 2007, 3218, 636, 1279, 639, 563, 268, 3131, 821, 531, 18751, 543, 2663, 1023, 563, 268, 590, 1116, 28886, 10134, 563, 1692, 547, 5431, 519, 1292, 6091, 540, 519, 1480, 1560, 454, 2026, 649, 723, 2938, 267, 938, 1560, 568, 1500, 909, 540, 513, 1804, 1297, 540, 6091, 1547, 901, 1373, 519, 2013, 267, 1898, 2694, 585, 922, 1697, 8647, 269, 8921, 267, 649, 786, 2446, 13713, 543, 693, 513, 2489, 1377, 875, 891, 6091, 616, 9286, 267, 2687, 547, 741, 4162, 563, 28308, 610, 21603, 6091, 888, 1692, 547, 917, 952, 519, 6091, 616, 21603, 610, 2620, 286, 3371, 616, 930, 4388, 547, 3713, 873, 563, 2026, 922, 2012, 6920, 267, 789, 616, 1346, 6091, 602, 666, 581, 1336, 6251, 1312, 547, 938, 5642, 2497, 267, 607, 1134, 607, 547, 519, 8219, 563, 4002, 519, 824, 1688, 267, 519, 21603, 6091, 616, 1346, 602, 616, 6251, 547, 519, 3544, 269, 4595, 267, 891, 616, 6353, 676, 1373, 1454, 6251, 547, 519, 2960, 1858, 982, 519, 2620, 6091, 563, 23322, 2524, 540, 519, 6091, 454, 6097, 547, 922, 19916, 267, 649, 666, 1265, 3875, 6091, 540, 1114, 2450, 543, 3259, 2429, 938, 1560, 269, 1452, 616, 9286, 2687, 547, 1978, 1880, 4162, 269, 1284, 786, 2911, 513, 2370, 827, 891, 2630, 563, 4322, 6091, 666, 581, 4092, 2523, 538, 519, 17119, 885, 540, 938, 1560, 630, 15767, 543, 7953, 1040, 10886, 1944, 3294, 3976, 267, 676, 922, 28608, 543, 19018, 622, 4137, 630, 10472, 267, 952, 649, 1491, 883, 2272, 602, 538, 922, 1647, 851, 789, 723, 1454, 811, 4320, 982, 538, 922, 7475, 30155, 2026, 741, 2012, 10522, 267, 789, 616, 6091, 540, 1507, 3259, 269, 1717, 267, 922, 3252, 616, 540, 14063, 2956, 269, 7324, 891, 6091, 267, 649, 666, 1265, 1346, 4092, 538, 1585, 2127, 540, 519, 3068, 2073, 607, 1134, 607, 538, 930, 2127, 540, 519, 3946, 543, 3952, 563, 4322, 6091, 616, 6353, 676, 519, 12166, 5515, 602, 17492, 873, 630, 5228, 21083, 267, 547, 4009, 610, 14328, 5546, 1040, 769, 1840, 267, 789, 11886, 606, 1271, 4305, 538, 938, 1560, 676, 7863, 1585, 8219, 269, 1452, 6091, 666, 581, 1336, 5631, 538, 519, 14159, 543, 533, 624, 7394, 1858, 563, 5445, 616, 5393, 1271, 6091, 547, 11886, 1585, 4105, 3252, 538, 938, 1560, 269, 9861, 3976, 267, 1459, 519, 1482, 538, 519, 10285, 543, 9667, 1062, 5631, 269, 1703, 267, 789, 11886, 519, 1599, 540, 3850, 610, 7303, 519, 8574, 540, 1585, 2609, 4470, 593, 519, 1533, 538, 799, 519, 4887, 568, 630, 7758, 1314, 539, 610, 26438, 1916, 7661, 649, 723, 519, 11497, 7781, 6091, 267, 799, 666, 581, 1336, 5631, 538, 519, 3068, 1858, 269, 769, 2474, 540, 2497, 267, 789, 616, 6353, 676, 1373, 9764, 6091, 609, 513, 3844, 8559, 563, 27735, 540, 519, 16757, 1062, 454, 308, 526, 16040, 267, 519, 16757, 1062, 568, 835, 540, 519, 1034, 2347, 543, 9670, 540, 938, 1480, 1560, 269, 898, 849, 1568, 538, 606, 11212, 6896, 543, 11295, 1259, 1547, 25478, 3976, 267, 609, 7366, 540, 6091, 602, 616, 3743, 585, 16180, 1808, 3252, 1312, 32380, 543, 1594, 2863, 3320, 563, 9202, 267, 649, 786, 2446, 930, 540, 519, 811, 1880, 3252, 602, 519, 16757, 1062, 7208, 1571, 269, 769, 713, 1259, 267, 596, 786, 581, 2111, 547, 917, 538, 3152, 1469, 519, 2956, 621, 814, 585, 519, 1480, 1560, 563, 2005, 2636, 721, 547, 4163, 856, 21525, 19318, 3157, 538, 938, 1560, 454, 1607, 568, 835, 540, 519, 1034, 6654, 543, 1271, 4162, 602, 519, 16757, 1062, 15824, 269, 8729, 547, 713, 267, 1312, 4835, 10688, 630, 22366, 547, 519, 12761, 540, 519, 1973, 1062, 1070, 547, 5007, 10688, 630, 4134, 10293, 264, 540, 938, 1560, 616, 6707, 5645, 856, 563, 8489, 1034, 4835, 3157, 960, 1594, 2863, 3320, 610, 796, 4621, 19290, 269, 2755, 519, 3157, 540, 5007, 10688, 267, 952, 789, 4096, 7361, 593, 519, 786, 563, 2704, 869, 721, 547, 2769, 938, 4664, 543, 4606, 454, 763, 16757, 1062, 711, 1152, 5713, 547, 1847, 721, 543, 1832, 721, 9800, 269, 3414, 519, 1804, 1297, 540, 6091, 540, 519, 3068, 602, 649, 946, 11179, 267, 649, 666, 2769, 17267, 5827, 540, 8204, 938, 6010, 532, 267, 607, 1134, 607, 18349, 540, 1585, 3871, 563, 17809, 1938, 721, 609, 513, 3586, 2707, 540, 1608, 7595, 1648, 454, 2026, 5018, 1657, 267, 938, 1560, 568, 7683, 2324, 630, 16838, 950, 649, 3207, 1040, 769, 713, 1259, 267, 1082, 3157, 616, 5645, 856, 8850, 267, 2523, 3875, 4887, 27373, 269, 1452, 616, 6225, 267, 607, 621, 7472, 519, 2048, 31516, 685, 610, 2048, 5632, 7595, 685, 1648, 1898, 585, 938, 1560, 563, 8802, 8973, 891, 27373, 267, 607, 5018, 1354, 267, 789, 616, 1898, 547, 10238, 527, 610, 1450, 519, 8574, 540, 1585, 1271, 2609, 538, 938, 1560, 269, 15531, 1851, 891, 2523, 267, 1346, 538, 5279, 540, 519, 22729, 540, 938, 11248, 540, 1346, 22837, 602, 621, 1281, 711, 991, 4586, 763, 16757, 1062, 267, 835, 540, 519, 1034, 1950, 1560, 1949, 454, 21982, 883, 2272, 782, 519, 1344, 4843, 1657, 267, 649, 1223, 2161, 602, 519, 16757, 1062, 267, 952, 621, 568, 711, 519, 1034, 1271, 1062, 538, 938, 1560, 267, 7140, 856, 547, 581, 835, 540, 519, 1034, 16637, 1581, 563, 13295, 267, 621, 568, 1271, 547, 917, 827, 519, 1082, 6091, 602, 616, 851, 540, 938, 1560, 267, 607, 1134, 607, 519, 1804, 1297, 540, 3252, 789, 11886, 269, 769, 713, 1259, 267, 649, 786, 581, 2111, 547, 1174, 513, 2370, 1732, 519, 8647, 540, 713, 1950, 11248, 602, 649, 1289, 519, 2048, 16058, 1560, 17483, 291, 1047, 1162, 540, 519, 16757, 1062, 454, 4322, 616, 930, 540, 519, 3676, 540, 519, 16757, 1062, 2073, 799, 666, 1020, 2429, 1272, 267, 610, 2094, 649, 616, 4535, 267, 513, 1906, 1634, 4713, 602, 666, 2049, 1282, 938, 3232, 2729, 267, 971, 607, 3257, 5026, 267, 610, 6972, 563, 268, 26298, 693, 15577, 2433, 2530, 540, 4887, 5160, 454, 268, 26298, 29998, 15577, 1107, 9402, 4887, 2208, 454, 268, 26298, 15237, 2433, 570, 792, 540, 519, 5160, 8720, 519, 4887, 454, 268, 2717, 328, 3912, 601, 4345, 2433, 3644, 540, 519, 8401, 1062, 602, 5540, 3384, 4887, 693, 15577, 563, 268, 3733, 770, 1156, 807, 1178, 6665, 2433, 8467, 540, 4887, 5160, 563, 15916, 22419, 267, 594, 993, 21208, 7288, 645, 7578, 513, 10017, 2875, 269, 594, 723, 2141, 1044, 7255, 827, 1480, 2623, 543, 519, 2790, 3157, 602, 1291, 721, 547, 957, 543, 1589, 519, 1259, 649, 798, 269, 3733, 5698, 607, 606, 9375, 538, 519, 6530, 1858, 540, 4270, 9861, 24504, 814, 4847, 803, 547, 8495, 2417, 543, 4228, 1250, 1702, 538, 519, 2361, 540, 2790, 1072, 282, 594, 723, 849, 9715, 1390, 1702, 827, 2168, 1072, 543, 1134, 5630, 267, 1079, 4909, 13279, 602, 616, 2047, 1644, 543, 616, 851, 540, 782, 2790, 1072, 269, 0, 7628, 519, 6167, 2489, 10198, 267, 18303, 11788, 10579, 962, 1515, 700, 777, 573, 1767, 646, 729, 538, 3870, 540, 519, 968, 18314, 15581, 3070, 892, 547, 2322, 606, 1439, 547, 519, 6259, 268, 29994, 328, 6433, 968, 553, 1279, 607, 21157, 1281, 711, 1831, 513, 1533, 540, 9810, 7536, 1692, 1454, 543, 875, 789, 2911, 827, 621, 454, 763, 968, 18314, 15581, 3070, 892, 729, 1101, 6069, 676, 519, 3212, 601, 8189, 540, 476, 4350, 278, 593, 513, 23626, 689, 4279, 6628, 269, 634, 18303, 8513, 729, 1287, 1869, 13026, 676, 519, 3703, 267, 945, 1185, 513, 23626, 936, 1346, 2127, 267, 1739, 519, 27072, 540, 519, 16368, 7276, 1310, 519, 3689, 2622, 2782, 269, 3245, 476, 4572, 271, 547, 476, 3707, 279, 519, 3703, 13495, 622, 540, 21157, 4847, 519, 3703, 547, 1852, 1346, 11182, 269, 769, 476, 4350, 278, 267, 519, 3212, 601, 8189, 4941, 547, 7941, 519, 1858, 883, 1614, 9922, 281, 835, 6259, 630, 10175, 717, 18054, 267, 1261, 321, 1258, 543, 23514, 514, 547, 519, 5087, 1070, 835, 18303, 630, 2169, 2105, 689, 20052, 2997, 643, 547, 519, 26219, 8473, 264, 543, 519, 4872, 540, 9294, 732, 628, 267, 543, 538, 1880, 13243, 267, 896, 3703, 23626, 269, 1677, 7947, 713, 19908, 4640, 729, 519, 6259, 11218, 267, 7608, 3079, 676, 519, 18303, 835, 269, 1280, 519, 10243, 621, 1131, 723, 1500, 811, 2631, 602, 519, 1079, 2829, 1185, 5095, 540, 519, 1482, 14940, 267, 865, 621, 6069, 547, 4483, 29240, 543, 5840, 529, 547, 741, 9757, 2829, 540, 5169, 563, 763, 6498, 540, 519, 1858, 883, 1614, 729, 6069, 676, 519, 2136, 8315, 1586, 538, 476, 3707, 278, 267, 538, 519, 16938, 8512, 819, 1544, 14872, 269, 634, 6167, 3070, 3238, 519, 9668, 540, 519, 24752, 11182, 267, 609, 717, 18054, 5258, 689, 519, 1858, 540, 519, 4639, 7813, 1634, 607, 519, 4639, 7813, 269, 634, 6259, 1533, 1586, 15189, 267, 8572, 547, 3398, 519, 6498, 540, 519, 24752, 11182, 269, 634, 3703, 23626, 538, 602, 1858, 8694, 538, 476, 3707, 279, 543, 519, 6259, 268, 29994, 328, 2112, 540, 11313, 4366, 910, 685, 5392, 13264, 856, 269, 1280, 519, 24752, 1004, 621, 729, 519, 4098, 540, 562, 752, 9346, 267, 610, 519, 8184, 610, 1163, 13955, 540, 476, 278, 1556, 267, 1822, 13114, 29562, 593, 519, 521, 573, 3894, 540, 519, 4655, 563, 763, 7526, 538, 1346, 11182, 1705, 711, 9350, 1524, 543, 1739, 519, 968, 306, 1460, 4303, 2782, 892, 630, 3422, 278, 1070, 519, 6167, 8232, 7027, 796, 29434, 3585, 5293, 6571, 476, 26237, 10912, 585, 519, 15639, 689, 519, 13026, 11182, 676, 519, 18303, 7952, 269, 769, 519, 476, 3192, 271, 338, 267, 513, 1101, 16315, 602, 519, 21157, 8644, 3130, 9257, 630, 12195, 302, 264, 729, 538, 3870, 540, 519, 968, 18314, 15581, 3070, 892, 729, 19775, 676, 590, 4660, 8621, 9564, 269, 769, 476, 3192, 277, 267, 519, 8232, 7027, 8120, 547, 519, 26350, 540, 519, 2243, 676, 3981, 532, 513, 3070, 1759, 593, 519, 10665, 1991, 547, 519, 968, 306, 1460, 4303, 2782, 6100, 634, 2136, 2276, 1654, 1729, 539, 713, 6571, 267, 7957, 1681, 519, 5137, 540, 1079, 2829, 267, 855, 18793, 540, 519, 1249, 602, 519, 10665, 1058, 581, 5941, 676, 519, 1079, 13413, 563, 1103, 519, 476, 2735, 271, 338, 519, 17600, 540, 519, 6259, 1004, 3366, 547, 519, 1101, 2271, 604, 3385, 540, 476, 2735, 278, 269, 901, 729, 4553, 676, 513, 1390, 4308, 540, 20320, 960, 547, 1265, 606, 6876, 3823, 519, 11156, 540, 1079, 2829, 269, 769, 476, 2735, 279, 21157, 10294, 922, 7115, 267, 13288, 547, 519, 3892, 1544, 540, 476, 3707, 278, 269, 2201, 713, 4493, 267, 519, 14642, 5979, 934, 3581, 630, 1960, 274, 264, 941, 6603, 267, 799, 5258, 519, 24752, 11182, 540, 519, 717, 18054, 853, 8692, 543, 519, 4639, 7813, 883, 1614, 11889, 10851, 281, 835, 896, 519, 2407, 24752, 1852, 267, 835, 896, 24752, 19742, 543, 18303, 1852, 585, 3354, 267, 835, 585, 2407, 18303, 1852, 4849, 936, 24752, 21127, 1916, 5415, 5063, 972, 723, 1044, 8942, 693, 6876, 267, 855, 2760, 6913, 269, 634, 1101, 693, 8805, 6424, 855, 621, 729, 513, 5821, 593, 3592, 782, 519, 11358, 2798, 593, 799, 519, 6876, 729, 1759, 543, 15427, 519, 2034, 2271, 604, 3385, 538, 476, 1220, 272, 269, 769, 476, 1220, 278, 267, 2705, 267, 972, 729, 1776, 3801, 609, 519, 7788, 24550, 10985, 269, 2060, 519, 25019, 540, 519, 2136, 2276, 1063, 519, 12813, 302, 543, 5840, 267, 513, 2489, 6876, 729, 6603, 593, 519, 27410, 3741, 267, 855, 513, 1483, 6876, 729, 2760, 1336, 563, 763, 5208, 267, 593, 1312, 5011, 267, 543, 519, 575, 2867, 1729, 1436, 540, 519, 24752, 1004, 1869, 3136, 2221, 563, 4002, 799, 2798, 621, 568, 2352, 547, 1265, 513, 3070, 454, 763, 23801, 1448, 540, 519, 2243, 4145, 10665, 269, 898, 568, 711, 2653, 547, 6430, 1141, 547, 2721, 519, 1899, 269, 4340, 547, 1082, 4966, 267, 649, 1058, 979, 1394, 547, 519, 840, 25365, 10665, 540, 519, 968, 306, 1460, 4303, 2782, 5608, 855, 519, 5840, 529, 538, 1346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19743, 972, 256, 3807, 8737, 1250, 32733, 270, 13731, 5733, 1472, 519, 2622, 5149, 256, 3371, 568, 513, 2370, 32708, 256, 1403, 596, 616, 5461, 538, 713, 11720, 539, 1770, 267, 4945, 593, 1022, 540, 519, 5961, 610, 519, 3095, 547, 1250, 4558, 547, 1265, 856, 811, 269, 15681, 2725, 827, 8285, 910, 3487, 476, 273, 13491, 25038, 19743, 267, 594, 6557, 27613, 2995, 596, 827, 938, 4417, 11706, 269, 901, 814, 3893, 782, 519, 2395, 2394, 8285, 4303, 593, 269, 1656, 1018, 4523, 568, 2221, 779, 519, 476, 1691, 628, 540, 5412, 267, 865, 649, 1265, 519, 6885, 609, 519, 476, 1691, 628, 593, 269, 1656, 1287, 519, 18822, 1268, 4171, 2490, 621, 568, 267, 602, 779, 803, 267, 666, 1930, 519, 6885, 267, 543, 1287, 267, 4712, 267, 3330, 267, 972, 779, 513, 4605, 540, 930, 2186, 540, 1521, 610, 9162, 269, 634, 1101, 1554, 540, 5614, 269, 634, 31996, 531, 4982, 514, 2135, 281, 18421, 596, 991, 547, 917, 634, 4728, 1226, 514, 2135, 7436, 519, 4090, 519, 6129, 22613, 519, 18477, 20337, 1107, 519, 16494, 1899, 538, 519, 6607, 1657, 519, 3047, 779, 20337, 1107, 689, 5045, 547, 5087, 269, 901, 4523, 593, 4728, 476, 866, 267, 476, 736, 610, 476, 2641, 1169, 1032, 269, 5545, 22269, 19806, 558, 17421, 281, 3223, 603, 17578, 340, 10202, 270, 7476, 1399, 16103, 4208, 568, 621, 595, 6817, 968, 13420, 514, 2135, 892, 286, 4595, 3781, 543, 1554, 616, 5176, 4010, 519, 1482, 3259, 910, 476, 1321, 3108, 910, 782, 936, 519, 1158, 519, 2680, 568, 1572, 519, 1226, 514, 2135, 267, 799, 538, 5824, 267, 12777, 1797, 1412, 16029, 3781, 262, 630, 3225, 328, 910, 3160, 543, 1100, 343, 910, 3781, 1916, 1692, 547, 3503, 513, 3883, 5623, 1215, 547, 3503, 513, 3883, 5623, 676, 9291, 1306, 523, 14765, 17776, 547, 21988, 6154, 601, 3496, 5788, 7179, 19072, 9394, 6363, 7037, 19405, 589, 1433, 2689, 6257, 267, 23607, 543, 27786, 269, 634, 2689, 27711, 606, 6644, 267, 5885, 621, 609, 2963, 689, 519, 1433, 269, 1684, 596, 917, 875, 547, 2328, 513, 1433, 2689, 286, 594, 4769, 1405, 563, 11795, 3720, 9737, 1977, 543, 3703, 2296, 1635, 26366, 996, 2142, 732, 2755, 972, 616, 6157, 1082, 811, 8677, 540, 2296, 267, 1977, 2296, 543, 3703, 2296, 616, 519, 1079, 8677, 602, 616, 6026, 538, 1034, 26613, 270, 9128, 299, 3292, 269, 13575, 267, 621, 568, 8815, 602, 1100, 835, 4528, 568, 834, 322, 8091, 257, 2705, 267, 972, 616, 6157, 7375, 538, 946, 269, 634, 1614, 2101, 3604, 1063, 1063, 1977, 543, 3703, 2296, 616, 281, 25460, 10586, 910, 3604, 538, 1312, 20262, 543, 19283, 1218, 267, 607, 1134, 607, 2566, 543, 703, 29396, 18500, 910, 3604, 538, 17205, 543, 13450, 267, 2523, 2236, 29569, 8231, 6165, 26538, 910, 3604, 616, 3622, 1336, 538, 1978, 18772, 543, 21879, 3029, 634, 1034, 1271, 4341, 540, 14853, 568, 547, 2119, 547, 581, 5812, 538, 707, 6165, 563, 3722, 20937, 700, 8780, 2894, 5058, 630, 1721, 9344, 476, 274, 268, 277, 264, 4804, 4934, 2492, 4841, 786, 2259, 3742, 6947, 676, 22950, 337, 2084, 1018, 789, 5873, 269, 10049, 10261, 539, 3397, 12629, 2854, 593, 25879, 4580, 610, 5750, 1957, 15765, 23016, 6744, 4289, 630, 5408, 2630, 264, 8285, 538, 4033, 18831, 10271, 782, 936, 519, 1158, 8661, 519, 4332, 540, 2441, 593, 5412, 476, 1839, 1547, 898, 568, 513, 7772, 748, 9702, 1141, 3885, 1205, 1927, 267, 2285, 1142, 824, 6799, 267, 30164, 8075, 267, 2206, 2757, 8964, 543, 979, 547, 2527, 1547, 634, 2262, 8285, 2501, 689, 519, 2025, 2296, 968, 13731, 525, 8575, 525, 572, 892, 2073, 799, 1797, 2441, 779, 2527, 1547, 4014, 10271, 3494, 602, 4906, 729, 4535, 538, 519, 1507, 4884, 540, 21861, 548, 1335, 267, 649, 1810, 1406, 917, 519, 3169, 4266, 540, 4332, 1317, 2984, 827, 4906, 2441, 941, 2854, 1524, 1454, 2663, 269, 1635, 519, 476, 275, 628, 2540, 10271, 941, 5258, 883, 1079, 13039, 281, 519, 9456, 5939, 729, 538, 31862, 267, 2221, 779, 594, 30955, 267, 543, 519, 7262, 5939, 729, 1759, 538, 7507, 269, 3962, 5939, 9976, 8285, 593, 1114, 2395, 563, 1692, 547, 17546, 2296, 22062, 566, 910, 26613, 24935, 3509, 4914, 26613, 3610, 13383, 267, 2523, 538, 4025, 899, 3162, 9705, 267, 4001, 15866, 2296, 6643, 5049, 269, 2368, 3610, 630, 663, 1053, 1932, 14386, 723, 519, 8226, 602, 3450, 2296, 6643, 3322, 1175, 968, 339, 22736, 892, 547, 519, 1053, 269, 661, 30984, 11980, 23502, 10275, 3739, 1318, 3562, 1673, 773, 10629, 19443, 11980, 2713, 786, 338, 1382, 834, 2467, 568, 711, 835, 2013, 538, 14822, 540, 19443, 11980, 1373, 1031, 585, 4890, 2150, 805, 762, 1928, 269, 10266, 666, 581, 5701, 269, 2667, 13554, 11980, 814, 1044, 1031, 585, 5626, 543, 1514, 4145, 1701, 3267, 3220, 563, 293, 17129, 2894, 10323, 2969, 645, 26091, 476, 273, 910, 13488, 676, 2552, 5799, 910, 2342, 16258, 523, 1530, 520, 5617, 1206, 267, 513, 1769, 2295, 539, 3391, 547, 2057, 21390, 1247, 21409, 269, 1323, 5499, 1259, 547, 1451, 4654, 543, 4584, 909, 2686, 4388, 269, 13488, 676, 2552, 5799, 1315, 2342, 15765, 23016, 910, 9442, 10341, 9751, 689, 9650, 307, 8962, 670, 792, 1548, 4658, 616, 26419, 590, 11691, 6258, 875, 547, 5873, 519, 2898, 5048, 676, 1210, 3742, 6947, 2553, 269, 23016, 568, 835, 540, 519, 1034, 1271, 1983, 596, 666, 723, 269, 1215, 1134, 596, 6432, 814, 513, 2101, 1764, 593, 707, 2816, 7145, 267, 543, 593, 519, 2298, 540, 707, 3347, 609, 1866, 269, 1280, 3236, 281, 0, 299, 15145, 476, 273, 281, 4197, 4578, 454, 20103, 476, 272, 267, 476, 1001, 279, 454, 1432, 779, 519, 8672, 888, 1432, 616, 649, 2965, 3843, 547, 11298, 950, 649, 946, 1239, 888, 6944, 9009, 547, 2442, 6644, 267, 519, 1448, 3884, 1406, 547, 1118, 7168, 11708, 610, 547, 1118, 513, 1448, 267, 610, 17854, 1945, 596, 4076, 2944, 563, 17829, 949, 581, 8799, 2427, 2360, 2336, 763, 2973, 652, 1259, 547, 1589, 827, 1239, 2079, 568, 547, 3314, 602, 1239, 2501, 689, 12341, 454, 2467, 729, 930, 1184, 602, 6383, 602, 1239, 454, 5978, 3804, 267, 538, 782, 1239, 2079, 267, 568, 547, 1205, 930, 2856, 540, 1018, 602, 1184, 568, 454, 268, 5994, 513, 2596, 11777, 16212, 454, 268, 5272, 942, 649, 16212, 267, 649, 1205, 9843, 3368, 519, 942, 543, 21217, 3368, 519, 942, 454, 268, 634, 13138, 16604, 1184, 602, 12958, 519, 1239, 568, 602, 972, 779, 513, 11777, 602, 779, 9843, 3368, 519, 942, 543, 21217, 3368, 519, 942, 454, 268, 1403, 649, 5659, 519, 1239, 7157, 267, 649, 1058, 1867, 1394, 602, 519, 11777, 568, 9843, 3368, 519, 942, 454, 268, 2913, 779, 2119, 12719, 519, 8167, 540, 9843, 454, 258, 7049, 4733, 476, 4335, 9843, 543, 21217, 454, 11907, 26013, 3732, 6262, 2891, 23175, 338, 14824, 307, 5661, 19823, 4335, 267, 516, 2897, 284, 15045, 16604, 994, 258, 24280, 519, 8167, 540, 9843, 454, 1012, 476, 476, 271, 269, 3393, 275, 454, 268, 2913, 779, 2119, 856, 602, 3009, 538, 681, 513, 1906, 2053, 543, 1294, 1018, 4523, 454, 268, 3689, 267, 1018, 798, 649, 1616, 547, 4755, 286, 1548, 1058, 649, 1294, 952, 938, 1239, 2079, 1505, 568, 1434, 888, 1692, 6153, 12984, 898, 888, 268, 3776, 1239, 2079, 9846, 5143, 721, 602, 519, 11777, 729, 10451, 9843, 827, 3368, 519, 942, 910, 519, 3020, 1184, 2336, 268, 3776, 1239, 2079, 13071, 721, 9959, 519, 11777, 568, 4023, 454, 268, 2334, 568, 10503, 519, 3020, 1239, 10451, 1184, 7168, 1134, 2336, 268, 2913, 779, 1589, 910, 1018, 824, 4485, 1223, 649, 723, 3144, 286, 1548, 1131, 519, 5294, 543, 931, 581, 888, 268, 25478, 519, 9843, 3079, 540, 2921, 519, 8167, 888, 268, 14171, 519, 1611, 543, 4946, 1547, 272, 888, 268, 3807, 6031, 621, 779, 476, 2004, 260, 888, 268, 4658, 723, 1114, 5666, 540, 2724, 538, 741, 23129, 267, 689, 476, 271, 547, 476, 1015, 454, 268, 1284, 16212, 513, 11777, 543, 267, 952, 621, 779, 9843, 267, 2285, 873, 513, 13362, 454, 268, 1548, 779, 519, 1239, 10451, 1184, 1934, 888, 268, 1548, 1058, 938, 1239, 2079, 10625, 888, 258, 7049, 4733, 476, 1911, 271, 530, 24548, 543, 476, 1911, 271, 9843, 543, 21217, 454, 11907, 26013, 1239, 8807, 9347, 26028, 24548, 284, 338, 2217, 263, 271, 281, 1015, 267, 1911, 271, 267, 516, 2897, 284, 15045, 16604, 4917, 11907, 259, 8314, 26013, 3732, 6262, 2891, 23175, 338, 14824, 307, 5661, 19823, 1911, 271, 267, 516, 2897, 284, 15045, 16604, 994, 258, 24876, 513, 13362, 8164, 621, 781, 513, 9843, 267, 1287, 1205, 3328, 2724, 676, 11777, 454, 11907, 26013, 1239, 4939, 285, 260, 4573, 622, 26028, 24548, 815, 530, 24548, 1341, 630, 8314, 2525, 257, 23175, 338, 27363, 11907, 4939, 285, 260, 1895, 318, 2421, 263, 8314, 264, 4939, 285, 260, 17412, 26028, 24548, 815, 1611, 26028, 24548, 4917, 1012, 1948, 589, 512, 756, 1076, 281, 476, 273, 1535, 476, 273, 454, 1012, 11777, 530, 24548, 454, 1012, 2999, 577, 337, 285, 2999, 323, 4565, 11417, 1012, 476, 272, 1261, 6758, 476, 276, 269, 11152, 454, 1012, 476, 273, 570, 5661, 476, 275, 269, 10019, 454, 268, 1548, 1281, 938, 1239, 2079, 2995, 721, 888, 268, 1284, 7747, 513, 3017, 540, 476, 272, 269, 6021, 1063, 519, 9843, 543, 21217, 454, 268, 5221, 649, 917, 602, 4986, 1131, 723, 3361, 713, 3017, 824, 982, 519, 11777, 16212, 267, 649, 666, 9959, 602, 519, 11777, 16212, 568, 1946, 972, 779, 513, 3017, 540, 476, 272, 269, 6021, 454, 3719, 1548, 1403, 888, 268, 1924, 2484, 649, 4076, 1044, 32533, 454, 268, 1284, 917, 4010, 1018, 1184, 6383, 602, 1239, 454, 268, 1924, 2731, 267, 938, 1239, 2079, 3085, 1406, 2339, 454, 268, 1809, 1018, 952, 649, 1810, 1406, 917, 602, 888, 268, 1284, 1616, 547, 1118, 2386, 938, 1505, 568, 1434, 267, 865, 602, 950, 649, 2721, 513, 3932, 689, 938, 1239, 267, 621, 779, 519, 1318, 835, 454, 268, 1284, 2461, 24192, 256, 1924, 1100, 2462, 9983, 649, 1522, 581, 5461, 538, 3747, 14258, 454, 268, 24637, 7455, 3081, 602, 607, 1422, 263, 303, 315, 264, 4422, 909, 267, 1422, 263, 304, 5091, 315, 264, 4422, 1524, 454, 268, 2913, 779, 5531, 1239, 593, 1422, 263, 303, 315, 264, 543, 1422, 263, 304, 5091, 315, 994, 268, 1656, 3313, 1919, 899, 519, 9386, 540, 3747, 267, 3747, 22786, 267, 3092, 563, 268, 3807, 865, 4523, 594, 723, 930, 1239, 593, 476, 6942, 280, 268, 4572, 274, 2475, 1426, 13143, 5777, 543, 9424, 256, 0, 22706, 476, 278, 8212, 14173, 11819, 6651, 630, 5327, 11220, 676, 12676, 476, 10170, 30451, 994, 30022, 25103, 547, 6732, 22108, 5853, 538, 11819, 6651, 912, 2171, 1616, 1053, 547, 1174, 891, 2596, 2035, 563, 299, 16558, 540, 4804, 9625, 16497, 827, 22197, 585, 32059, 454, 300, 8568, 12197, 17943, 19187, 2906, 540, 13804, 1115, 19187, 2906, 540, 13804, 1115, 302, 518, 23264, 781, 3281, 817, 300, 8568, 12197, 3778, 1015, 4279, 652, 13028, 625, 300, 8568, 3345, 1692, 519, 8832, 28691, 4518, 10481, 558, 24599, 1143, 454, 300, 8568, 12197, 17943, 454, 19187, 2906, 540, 13804, 1115, 454, 300, 8568, 12197, 3778, 454, 1015, 4279, 652, 13028, 625, 454, 1692, 519, 8832, 28691, 4518, 454, 1432, 568, 853, 1738, 24542, 286, 1432, 568, 853, 1738, 24542, 286, 13981, 827, 853, 1738, 24542, 13981, 6168, 853, 1738, 24542, 454, 1432, 568, 853, 1738, 24542, 888, 13981, 827, 853, 1738, 24542, 454, 13981, 6168, 853, 1738, 24542, 454, 3722, 5288, 9823, 5295, 30395, 606, 11272, 16359, 30395, 606, 11272, 16359, 454, 3722, 5288, 9823, 5295, 454, 30395, 606, 11272, 16359, 454, 1432, 568, 20367, 7351, 286, 8002, 643, 2572, 547, 1451, 827, 20367, 1699, 8002, 8481, 547, 1451, 827, 20367, 1699, 454, 1432, 568, 20367, 7351, 888, 8002, 643, 2572, 547, 1451, 827, 20367, 1699, 454, 8002, 8481, 547, 1451, 827, 20367, 1699, 454, 1692, 798, 649, 5352, 5201, 286, 17653, 908, 24542, 17653, 908, 24542, 17653, 908, 24542, 454, 1692, 798, 649, 5352, 5201, 888, 16978, 668, 24599, 1143, 14295, 3019, 9198, 908, 5082, 668, 24599, 1143, 17653, 908, 5082, 668, 24599, 1143, 308, 4513, 540, 5082, 668, 24599, 1143, 281, 6249, 11614, 267, 5491, 6486, 267, 22938, 18126, 267, 543, 938, 3047, 256, 9625, 476, 3393, 3764, 1279, 454, 308, 4513, 540, 5082, 668, 24599, 1143, 281, 6249, 11614, 267, 5491, 6486, 267, 22938, 18126, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1452, 2055, 1810, 1405, 3382, 3388, 593, 519, 1641, 267, 865, 594, 786, 30603, 8406, 325, 781, 930, 942, 538, 519, 2104, 269, 1403, 4896, 814, 13668, 585, 824, 3584, 267, 1577, 803, 917, 780, 20594, 20594, 20594, 4373, 272, 269, 14597, 519, 4090, 10451, 1599, 585, 2473, 568, 2016, 676, 454, 259, 300, 318, 311, 6025, 21174, 2765, 346, 275, 2410, 263, 273, 2389, 8203, 273, 4151, 585, 512, 283, 273, 269, 4855, 519, 13065, 540, 2473, 780, 8967, 334, 8814, 912, 309, 541, 2473, 284, 272, 270, 273, 269, 29329, 3268, 949, 1331, 1269, 292, 2473, 284, 272, 259, 543, 1269, 292, 13375, 11583, 317, 273, 9368, 6661, 274, 270, 273, 16859, 20594, 20594, 20594, 4373, 273, 269, 2913, 1269, 312, 284, 273, 311, 268, 274, 8961, 1141, 1269, 311, 259, 568, 513, 4351, 4756, 4171, 4090, 10451, 1599, 568, 454, 259, 300, 318, 311, 6025, 21174, 10339, 13375, 314, 276, 324, 317, 339, 268, 276, 9368, 4940, 259, 4855, 1269, 300, 318, 312, 6025, 1040, 6911, 8967, 334, 8814, 912, 259, 300, 318, 312, 6025, 21174, 10339, 13375, 314, 276, 324, 3867, 273, 339, 18511, 276, 268, 274, 339, 9368, 316, 6911, 20594, 20594, 11960, 7052, 1262, 4373, 274, 269, 14597, 2473, 543, 962, 616, 4351, 4632, 4171, 4745, 5860, 568, 2016, 676, 454, 259, 325, 3287, 11971, 6661, 273, 324, 13064, 343, 3917, 4151, 585, 1269, 271, 543, 1269, 325, 3287, 11971, 6661, 271, 259, 6382, 269, 4855, 1269, 300, 3709, 311, 267, 312, 12917, 339, 29679, 6661, 292, 552, 3867, 339, 311, 266, 338, 312, 4151, 585, 1269, 338, 283, 272, 259, 543, 1269, 338, 266, 339, 283, 273, 16859, 8967, 334, 8814, 912, 259, 300, 3709, 311, 267, 312, 12917, 339, 29679, 21174, 2765, 346, 273, 2410, 272, 1606, 4153, 10383, 1422, 2765, 346, 272, 2410, 273, 1606, 2389, 10592, 20594, 20594, 20594, 1262, 2878, 692, 21581, 3435, 2139, 693, 519, 5606, 9548, 2920, 4231, 454, 6303, 1029, 692, 8310, 12995, 676, 546, 12711, 320, 1511, 282, 476, 6349, 268, 1321, 268, 1220, 278, 693, 476, 5400, 281, 6246, 7537, 10756, 258, 273, 454, 6349, 268, 6860, 268, 1220, 278, 267, 476, 6734, 281, 6321, 6751, 454, 546, 12711, 320, 1511, 6424, 1234, 767, 548, 15012, 11261, 281, 4924, 476, 1220, 277, 24762, 281, 476, 274, 267, 18089, 692, 2080, 616, 713, 3018, 781, 2042, 269, 11473, 3435, 616, 2139, 693, 634, 5606, 9548, 2920, 4231, 454, 563, 272, 269, 14597, 602, 1269, 311, 267, 312, 267, 259, 543, 1269, 313, 259, 616, 4351, 4632, 4171, 4090, 10451, 3252, 616, 2016, 676, 454, 7445, 8218, 346, 18091, 333, 6783, 15857, 631, 318, 311, 6025, 264, 261, 284, 261, 315, 2765, 346, 272, 2410, 263, 272, 268, 274, 339, 8203, 273, 27874, 631, 318, 312, 6025, 264, 261, 284, 261, 315, 2765, 346, 272, 2410, 263, 272, 268, 274, 339, 8203, 274, 27874, 631, 318, 313, 6025, 264, 261, 284, 261, 315, 2765, 346, 272, 2410, 263, 272, 268, 274, 339, 8203, 275, 348, 1422, 754, 346, 18091, 333, 6783, 265, 10592, 8340, 519, 11664, 540, 8390, 540, 654, 284, 311, 266, 312, 266, 313, 780, 8967, 334, 8814, 912, 272, 270, 274, 692, 273, 269, 589, 4351, 4756, 1269, 311, 259, 814, 513, 15768, 3892, 609, 1269, 303, 314, 311, 284, 271, 24557, 272, 270, 273, 267, 623, 314, 311, 284, 272, 24557, 303, 314, 311, 284, 273, 24557, 272, 270, 275, 269, 259, 4855, 519, 4090, 10451, 1599, 540, 1269, 311, 317, 273, 269, 6911, 8967, 334, 8814, 912, 7445, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 2765, 346, 324, 2410, 275, 348, 1341, 1422, 2765, 346, 324, 317, 275, 2410, 275, 10592, 274, 269, 589, 536, 21725, 4351, 4756, 18159, 311, 318, 272, 267, 311, 318, 273, 7751, 814, 4745, 4090, 10451, 1599, 454, 259, 300, 3709, 311, 318, 272, 267, 311, 318, 273, 12917, 339, 318, 272, 25722, 318, 273, 21174, 10339, 13375, 314, 339, 318, 272, 317, 273, 266, 339, 318, 273, 317, 273, 2389, 318, 272, 339, 318, 273, 9368, 4940, 259, 4855, 595, 990, 11583, 318, 272, 267, 311, 318, 273, 6393, 8967, 334, 8814, 912, 268, 272, 692, 19547, 9229, 3381, 3435, 616, 1631, 2139, 693, 634, 5606, 9548, 2920, 4231, 563, 6303, 1029, 692, 8310, 12995, 676, 546, 12711, 320, 1511, 282, 476, 6349, 268, 1321, 268, 1220, 278, 693, 476, 5400, 281, 6246, 7537, 10756, 258, 274, 454, 6349, 268, 1556, 268, 1220, 278, 267, 476, 4962, 281, 4366, 6751, 454, 546, 12711, 320, 1511, 6424, 1234, 767, 548, 15012, 11261, 281, 4924, 476, 1220, 277, 24762, 281, 476, 274, 267, 18089, 692, 1607, 3018, 781, 2042, 616, 1759, 593, 2025, 2259, 1570, 689, 1354, 519, 476, 1220, 276, 21038, 1689, 602, 594, 1589, 568, 1869, 4143, 269, 1306, 8912, 267, 10230, 4267, 616, 1934, 543, 3381, 3435, 786, 581, 2139, 693, 634, 5606, 9548, 2920, 4231, 780, 272, 269, 1496, 306, 1412, 4905, 1948, 3607, 316, 589, 4884, 538, 519, 3337, 540, 513, 4009, 609, 1142, 2427, 7893, 476, 275, 814, 606, 4853, 2030, 693, 922, 4099, 269, 634, 4853, 2030, 568, 3542, 5024, 519, 2011, 971, 602, 519, 5834, 540, 14107, 693, 1142, 4087, 18159, 343, 11971, 7751, 538, 519, 4884, 666, 581, 24018, 676, 519, 1599, 454, 259, 290, 3287, 11971, 6661, 2420, 267, 4335, 263, 279, 14870, 317, 273, 3917, 317, 273, 7751, 585, 1269, 268, 273, 1422, 19008, 1535, 1422, 19008, 476, 273, 259, 543, 1269, 268, 273, 1422, 19008, 586, 1422, 19008, 476, 273, 259, 16317, 24280, 519, 3328, 5533, 5834, 936, 519, 3003, 4884, 780, 9616, 281, 519, 3328, 5834, 568, 519, 1482, 3364, 607, 6998, 827, 519, 4397, 1871, 540, 595, 11583, 267, 312, 264, 952, 630, 311, 267, 312, 264, 616, 25144, 6074, 936, 519, 4884, 780, 8967, 334, 8814, 912, 6344, 267, 1822, 692, 273, 269, 630, 258, 278, 689, 476, 1960, 280, 2259, 981, 585, 519, 2025, 21038, 2020, 2026, 851, 540, 519, 896, 8586, 1184, 585, 6142, 267, 1142, 17053, 3609, 14516, 568, 7318, 585, 1164, 1973, 2604, 780, 4131, 2473, 2099, 519, 1297, 540, 4255, 6192, 950, 519, 1101, 1268, 609, 1164, 1973, 2604, 568, 1336, 269, 634, 4397, 1871, 540, 2473, 568, 476, 1321, 269, 276, 780, 24280, 519, 5506, 602, 519, 15795, 1268, 7318, 568, 519, 1101, 835, 609, 1164, 1973, 2604, 780, 8967, 334, 8814, 1384, 263, 1556, 269, 276, 270, 1321, 269, 276, 8203, 276, 630, 272, 270, 1321, 269, 276, 6661, 269, 4962, 274, 692, 274, 269, 630, 17780, 593, 1948, 1015, 689, 476, 1960, 280, 2259, 981, 585, 519, 2025, 21038, 267, 9168, 547, 2057, 606, 13509, 538, 519, 1966, 4700, 1323, 6142, 3609, 6227, 519, 1079, 5520, 540, 13235, 7577, 269, 634, 3609, 786, 32158, 9309, 13235, 454, 1721, 1100, 811, 982, 835, 2530, 829, 9441, 538, 513, 1032, 269, 898, 32158, 2720, 525, 519, 2407, 2179, 540, 519, 2530, 909, 547, 606, 5993, 2754, 17253, 5021, 540, 476, 8517, 271, 780, 763, 5506, 540, 606, 9441, 1651, 584, 2590, 513, 2530, 538, 513, 1032, 568, 476, 2412, 10065, 634, 5506, 602, 606, 9441, 1651, 2720, 513, 2530, 568, 4830, 540, 519, 824, 9441, 779, 9271, 780, 763, 2179, 540, 1142, 2530, 568, 25144, 7856, 593, 1496, 1911, 271, 267, 476, 4335, 271, 316, 780, 11693, 602, 693, 2547, 835, 540, 519, 5520, 814, 30309, 513, 2530, 538, 4430, 540, 476, 1220, 271, 267, 3313, 519, 5506, 602, 9271, 786, 9765, 32158, 9309, 906, 780, 8967, 334, 8814, 912, 273, 270, 7906, 692, 21581, 10298, 616, 2139, 693, 634, 5606, 9548, 2920, 4231, 1284, 4312, 4957, 519, 15745, 689, 3105, 4374, 543, 849, 3773, 16797, 11742, 8747, 540, 519, 7044, 563, 6303, 1029, 692, 8310, 12995, 676, 546, 12711, 320, 1511, 282, 476, 6349, 268, 1321, 268, 1220, 278, 693, 476, 5400, 281, 5655, 7537, 10756, 258, 275, 454, 6349, 268, 1704, 268, 1220, 278, 267, 476, 6860, 281, 736, 6751, 454, 546, 12711, 320, 1511, 6424, 1234, 767, 548, 15012, 11261, 281, 4924, 476, 1220, 277, 24762, 281, 476, 274, 267, 18089, 692, 2080, 616, 713, 3018, 781, 2042, 269, 634, 2034, 1966, 568, 827, 31809, 14290, 1317, 540, 519, 2487, 16060, 593, 519, 1888, 630, 5408, 1934, 543, 1934, 1070, 855, 1247, 621, 568, 513, 16048, 1888, 267, 519, 1249, 568, 602, 930, 540, 519, 9499, 593, 519, 21038, 1810, 1405, 3382, 621, 543, 594, 1589, 621, 568, 12691, 547, 2097, 909, 269, 589, 8390, 540, 2243, 1948, 273, 602, 568, 811, 2693, 547, 2408, 593, 519, 981, 1131, 581, 1945, 538, 799, 596, 616, 5143, 24430, 11583, 10983, 6661, 274, 585, 782, 1775, 267, 543, 595, 990, 11583, 10983, 267, 311, 19553, 6661, 268, 273, 585, 782, 1269, 328, 1422, 928, 336, 795, 16859, 272, 269, 2913, 1269, 301, 259, 581, 513, 14477, 6074, 8870, 609, 1269, 272, 315, 19008, 715, 1422, 19008, 476, 272, 267, 1822, 10608, 1548, 568, 519, 5506, 602, 1269, 301, 259, 568, 711, 16883, 454, 2421, 476, 278, 267, 476, 1556, 267, 610, 476, 1724, 2496, 8967, 334, 8814, 912, 271, 269, 24798, 692, 273, 269, 634, 31809, 5119, 540, 18159, 311, 318, 272, 267, 311, 318, 273, 267, 311, 318, 274, 7751, 568, 2016, 676, 454, 7445, 3847, 263, 1422, 8218, 15204, 2410, 322, 524, 524, 348, 476, 273, 1299, 910, 272, 1299, 910, 273, 8607, 910, 272, 1299, 476, 274, 1299, 476, 273, 8607, 910, 273, 1299, 476, 273, 1299, 476, 275, 1422, 754, 15204, 348, 1422, 2431, 7751, 454, 2252, 1269, 292, 2473, 10983, 284, 328, 259, 585, 782, 1269, 328, 8961, 1265, 1269, 292, 27007, 311, 266, 312, 266, 313, 8203, 273, 316, 6911, 8967, 334, 8814, 912, 6246, 692, 274, 269, 2913, 1269, 308, 259, 543, 1269, 309, 259, 581, 4830, 267, 6024, 7833, 4351, 4632, 593, 519, 8884, 1496, 272, 267, 276, 4940, 4855, 454, 7445, 7468, 24560, 2381, 28381, 308, 267, 309, 315, 348, 2999, 273, 1422, 13232, 1422, 10946, 28381, 308, 267, 309, 315, 348, 285, 273, 9948, 16859, 8967, 334, 8814, 912, 277, 270, 1428, 692, 21581, 3435, 616, 2139, 693, 634, 5606, 9548, 2920, 4231, 454, 6303, 1029, 692, 8310, 12995, 676, 546, 12711, 320, 1511, 282, 476, 6349, 268, 1240, 268, 1220, 278, 693, 476, 6734, 281, 2420, 6751, 10756, 258, 276, 454, 6349, 268, 1839, 268, 1220, 278, 267, 476, 6349, 281, 2420, 6751, 454, 546, 12711, 320, 1511, 6424, 1234, 767, 548, 15012, 11261, 281, 4924, 476, 1220, 277, 24762, 281, 476, 274, 267, 18089, 692, 7712, 519, 5988, 9361, 540, 519, 981, 729, 713, 2250, 3018, 267, 594, 993, 2469, 547, 1491, 513, 7008, 4374, 1055, 689, 20171, 2259, 2042, 865, 594, 666, 9096, 519, 2259, 11400, 602, 594, 993, 2324, 593, 563, 6303, 1029, 692, 258, 277, 454, 6349, 268, 4962, 268, 1220, 279, 267, 476, 4962, 281, 6872, 6751, 454, 670, 10611, 269, 7433, 560, 2931, 16588, 15012, 11261, 281, 4239, 476, 1220, 277, 19715, 281, 7464, 3013, 24356, 585, 29482, 5441, 281, 2859, 5264, 1325, 30282, 674, 2948, 924, 14420, 281, 15656, 12722, 24762, 281, 476, 1691, 267, 28143, 692, 20756, 20707, 1511, 10484, 4002, 2243, 476, 280, 322, 538, 7689, 476, 274, 540, 23120, 14778, 267, 7948, 1405, 602, 581, 3144, 607, 7996, 4010, 476, 3393, 3764, 2864, 982, 693, 2547, 476, 3393, 3764, 269, 594, 5176, 6836, 547, 798, 713, 607, 513, 7313, 24480, 2394, 594, 2219, 827, 519, 3296, 713, 729, 689, 563, 258, 278, 454, 6349, 268, 5400, 268, 1220, 280, 267, 476, 4905, 281, 1556, 6751, 454, 552, 325, 327, 5400, 279, 279, 16588, 15012, 11261, 281, 3967, 476, 1220, 280, 24762, 281, 476, 5392, 692, 1103, 2489, 267, 875, 798, 596, 917, 950, 1210, 519, 30246, 602, 519, 2034, 12045, 540, 519, 23692, 29687, 343, 6025, 4297, 693, 512, 284, 271, 11224, 966, 3287, 264, 568, 25368, 547, 4466, 519, 1101, 1079, 8090, 543, 726, 19982, 883, 966, 3287, 264, 815, 661, 3287, 317, 273, 264, 910, 1496, 292, 3287, 13580, 317, 273, 888, 258, 279, 454, 6349, 268, 5400, 268, 1220, 280, 267, 476, 6021, 281, 3607, 6751, 454, 546, 12711, 320, 1511, 6424, 1234, 767, 548, 15012, 11261, 281, 4924, 476, 1220, 277, 24762, 281, 476, 274, 267, 18089, 692, 2252, 631, 6025, 264, 568, 540, 519, 689, 552, 22677, 31138, 1070, 1287, 621, 786, 2356, 581, 4443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2093, 267, 596, 666, 1491, 513, 6251, 1413, 693, 519, 28042, 29698, 7731, 5149, 5530, 543, 1018, 779, 3769, 1318, 1934, 281, 4179, 2517, 3333, 641, 269, 6011, 933, 324, 16753, 2593, 9706, 20094, 11721, 13637, 15492, 24713, 344, 2173, 639, 673, 2987, 11584, 906, 454, 7775, 10544, 513, 3732, 540, 513, 7731, 5149, 5530, 547, 1294, 875, 789, 616, 6896, 547, 581, 4190, 267, 2502, 267, 543, 2653, 547, 946, 912, 2412, 266, 590, 680, 754, 573, 569, 11300, 13067, 17360, 28042, 29698, 2336, 263, 9802, 2270, 24988, 6402, 1107, 9684, 596, 585, 707, 1489, 994, 763, 31418, 5006, 28042, 29698, 547, 5269, 454, 14888, 312, 15636, 1479, 4469, 1393, 1107, 1924, 2653, 547, 1118, 543, 32263, 585, 8026, 9639, 543, 18094, 256, 898, 779, 849, 513, 1390, 1259, 547, 2259, 8454, 607, 596, 6445, 519, 14569, 547, 1711, 1114, 8486, 2583, 538, 3280, 563, 288, 4011, 580, 1400, 1849, 6260, 853, 6506, 676, 700, 2795, 532, 8866, 6258, 1107, 589, 8748, 19471, 6293, 547, 2259, 11733, 543, 10726, 563, 306, 15781, 853, 3863, 338, 676, 918, 549, 330, 582, 752, 1107, 3767, 713, 835, 5654, 15813, 256, 6875, 513, 1906, 2269, 9749, 543, 11746, 267, 543, 596, 723, 3833, 519, 5137, 563, 303, 3591, 1834, 25529, 15053, 517, 3821, 676, 24184, 513, 11206, 1107, 1284, 723, 2907, 6836, 713, 19471, 7574, 6293, 282, 621, 568, 519, 4998, 11100, 540, 16134, 543, 1187, 256, 3807, 10544, 930, 11954, 1402, 338, 1834, 16853, 543, 12285, 13164, 267, 543, 596, 2461, 1305, 563, 25205, 4580, 2871, 10098, 676, 570, 4176, 570, 6260, 1677, 525, 1107, 594, 3274, 2648, 875, 2462, 713, 7574, 6293, 568, 256, 17828, 585, 2370, 3283, 945, 991, 547, 6633, 1055, 930, 1648, 630, 10193, 1634, 607, 1250, 3214, 2507, 2141, 1916, 9743, 745, 906, 585, 1744, 1136, 454, 305, 15219, 6193, 1744, 6033, 1107, 901, 729, 519, 2534, 602, 3323, 519, 22906, 609, 18789, 7574, 7405, 585, 1250, 8695, 269, 589, 5929, 267, 2731, 267, 855, 609, 513, 16517, 6335, 2336, 306, 29022, 23642, 1744, 5474, 676, 8342, 8584, 6377, 1107, 6270, 513, 17681, 1259, 547, 8831, 593, 513, 10444, 10822, 563, 26261, 17934, 570, 3711, 712, 710, 676, 2701, 5700, 338, 1107, 589, 5929, 2534, 609, 930, 22805, 267, 1932, 12544, 1390, 1259, 547, 2259, 5386, 5179, 1983, 1247, 2870, 19471, 7405, 256, 589, 1957, 6676, 267, 930, 795, 17532, 30518, 267, 543, 20612, 610, 5569, 616, 782, 596, 991, 563, 297, 17532, 13852, 338, 676, 932, 2084, 4258, 518, 3930, 630, 15062, 1100, 3476, 2139, 264, 1107, 6270, 513, 17681, 7574, 6293, 585, 2370, 12372, 256, 1452, 2370, 795, 17532, 11350, 16853, 616, 3501, 585, 9702, 9251, 30145, 563, 2304, 330, 548, 13852, 338, 676, 22387, 19889, 1107, 594, 1589, 602, 713, 5679, 26860, 1788, 568, 1175, 1018, 1250, 8250, 8496, 5202, 814, 1044, 3168, 585, 547, 1711, 19471, 8285, 13344, 585, 1200, 14552, 256, 634, 10477, 20612, 568, 32154, 267, 1932, 563, 3725, 7094, 539, 29698, 585, 1744, 1136, 2336, 293, 3599, 17378, 1744, 5474, 676, 631, 4821, 3911, 3796, 1107, 1284, 2648, 713, 5929, 19471, 7574, 6293, 585, 3214, 256, 589, 1390, 1259, 547, 19074, 1346, 5068, 14914, 5798, 267, 1932, 563, 14888, 312, 14175, 853, 6506, 676, 634, 22569, 1588, 10326, 1107, 3733, 2370, 3283, 1131, 2648, 2870, 713, 4528, 540, 513, 4764, 6529, 269, 7102, 4739, 602, 3322, 513, 17200, 568, 1318, 909, 741, 620, 2917, 2336, 11321, 659, 553, 676, 1548, 779, 5455, 674, 698, 753, 1107, 1548, 513, 2241, 267, 3860, 2856, 256, 6271, 1390, 1259, 547, 946, 909, 1346, 5068, 1574, 614, 5798, 269, 589, 2898, 1362, 1305, 1131, 581, 2241, 547, 627, 760, 909, 563, 2662, 7416, 3057, 659, 553, 676, 20231, 614, 2793, 20937, 4804, 1107, 594, 2648, 602, 596, 666, 1118, 713, 585, 707, 2370, 3283, 538, 513, 2339, 540, 8090, 282, 3501, 585, 538, 519, 10051, 950, 1818, 12129, 267, 1932, 563, 25205, 4580, 681, 4490, 3220, 636, 676, 25968, 22367, 701, 344, 590, 4169, 1107, 901, 568, 513, 16517, 6293, 585, 23021, 547, 2263, 2336, 305, 664, 22496, 676, 674, 9915, 291, 307, 1107, 594, 1031, 513, 4764, 22496, 538, 1250, 15206, 4928, 607, 513, 1259, 540, 3478, 2370, 3283, 685, 3007, 543, 8600, 873, 585, 13289, 267, 855, 621, 849, 2306, 513, 2189, 19471, 7574, 6293, 2336, 9743, 745, 906, 585, 1773, 31902, 610, 853, 5300, 2719, 454, 298, 531, 574, 9346, 28042, 19639, 618, 676, 4173, 3429, 19949, 6723, 1107, 589, 1957, 6676, 630, 663, 649, 782, 917, 1250, 2648, 585, 513, 1434, 1957, 6676, 4739, 14386, 543, 930, 1402, 338, 1834, 16853, 1118, 713, 4739, 3501, 585, 1210, 1018, 596, 723, 593, 1688, 563, 301, 7491, 17850, 28042, 19639, 618, 676, 20551, 29955, 5753, 1107, 3767, 713, 568, 606, 2653, 19471, 6293, 256, 589, 2428, 9917, 961, 267, 513, 12285, 6512, 267, 543, 513, 6529, 616, 782, 707, 2370, 835, 2115, 547, 1205, 4224, 532, 563, 303, 514, 853, 5300, 1067, 676, 13100, 833, 320, 1107, 901, 835, 729, 1007, 547, 803, 267, 855, 5654, 865, 2241, 267, 4277, 267, 543, 18136, 594, 666, 1406, 7227, 547, 2285, 621, 513, 2119, 630, 528, 1058, 594, 2161, 513, 18789, 264, 609, 1250, 3214, 563, 300, 2255, 7901, 2871, 10560, 676, 26795, 26791, 630, 15062, 1100, 3476, 2139, 264, 1107, 9214, 323, 1043, 19471, 7574, 7405, 6730, 9735, 585, 5386, 5179, 5578, 1646, 269, 2052, 1406, 10726, 621, 256, 630, 3725, 958, 267, 596, 666, 1406, 32503, 616, 9277, 547, 1193, 636, 621, 8094, 290, 1575, 3220, 636, 849, 676, 7591, 267, 7327, 267, 700, 2795, 630, 15062, 1100, 3476, 2139, 264, 1107, 901, 835, 786, 581, 513, 16517, 835, 547, 2119, 256, 4746, 1390, 585, 3384, 513, 8930, 1356, 17945, 563, 14888, 312, 853, 5300, 332, 625, 676, 17546, 18014, 1107, 2368, 12285, 13164, 267, 513, 4216, 267, 930, 5876, 267, 543, 596, 616, 1434, 547, 979, 256, 901, 2534, 729, 606, 10137, 547, 513, 1433, 12544, 2731, 16517, 835, 267, 1932, 2336, 14888, 312, 8381, 523, 29698, 676, 28982, 27392, 1107, 1452, 616, 5310, 811, 2937, 13402, 267, 855, 3274, 32154, 11652, 14463, 1932, 2336, 289, 17879, 2871, 10560, 676, 5600, 540, 8738, 651, 1107, 853, 18732, 9412, 28588, 4816, 3751, 8725, 543, 7727, 596, 2907, 723, 2336, 5591, 529, 655, 5474, 676, 674, 9915, 291, 307, 1107, 6884, 621, 568, 519, 14724, 540, 1919, 602, 8141, 519, 1034, 5876, 538, 1250, 2370, 3283, 9789, 572, 2241, 695, 5474, 616, 1390, 7574, 7405, 2336, 295, 558, 17360, 28042, 29698, 585, 670, 3951, 16249, 543, 645, 20315, 5058, 2336, 305, 664, 11312, 2473, 2643, 25869, 676, 1656, 8921, 1290, 525, 700, 1107, 23875, 3833, 607, 18136, 607, 4730, 609, 22774, 4778, 593, 513, 20585, 5162, 779, 1554, 256, 901, 4739, 786, 581, 512, 26786, 9108, 909, 1250, 19492, 557, 2394, 5988, 267, 594, 798, 3494, 269, 630, 2710, 596, 3314, 803, 627, 1456, 827, 5988, 2063, 1032, 286, 994, 17556, 601, 3220, 4548, 676, 17491, 589, 2863, 338, 1107, 901, 2022, 568, 782, 827, 513, 9412, 514, 685, 3220, 636, 17510, 1485, 9549, 1765, 2903, 338, 540, 2093, 585, 19471, 27120, 543, 811, 2336, 24841, 523, 2473, 2643, 25869, 676, 769, 17389, 340, 540, 18014, 630, 15062, 1100, 3476, 2139, 264, 1107, 1548, 513, 16517, 2856, 256, 594, 2648, 519, 8945, 540, 1210, 4778, 547, 948, 4001, 2370, 3283, 547, 1404, 2575, 563, 305, 664, 11312, 4826, 2473, 2643, 25869, 676, 12846, 29892, 3427, 1107, 6271, 5929, 19471, 7574, 6293, 609, 513, 6335, 256, 1548, 513, 16517, 2856, 547, 1039, 930, 1426, 7801, 2507, 543, 513, 1769, 3349, 2336, 289, 641, 27984, 268, 7483, 676, 3733, 28042, 18903, 1107, 13067, 17360, 7574, 7405, 267, 538, 2489, 267, 616, 1390, 547, 6505, 523, 20585, 2395, 282, 713, 536, 641, 27984, 268, 7483, 5654, 899, 621, 1131, 6505, 523, 1256, 519, 4158, 652, 267, 15454, 652, 540, 5162, 2395, 2336, 11073, 21830, 28042, 29698, 630, 10193, 1390, 585, 670, 3951, 16249, 543, 645, 20315, 5058, 26695, 22025, 13852, 676, 7591, 267, 7327, 267, 700, 2795, 630, 15062, 1100, 3476, 2139, 264, 1107, 1284, 723, 513, 1906, 31619, 26181, 320, 17428, 2451, 936, 689, 519, 4832, 602, 1223, 581, 2322, 547, 1434, 7574, 946, 713, 5162, 563, 27839, 1328, 24504, 676, 7033, 582, 599, 1773, 904, 7870, 630, 15062, 1100, 3476, 2139, 264, 1107, 5221, 1256, 538, 519, 5162, 267, 649, 786, 581, 3544, 1169, 1554, 2336, 289, 4474, 9931, 676, 27804, 548, 300, 4821, 1107, 6270, 513, 17681, 267, 1930, 25804, 27592, 547, 1711, 2575, 267, 689, 1250, 5172, 5816, 3455, 540, 782, 942, 2336, 11577, 595, 2096, 321, 1023, 676, 8414, 670, 944, 580, 753, 1107, 1924, 2241, 267, 1187, 267, 543, 3860, 256, 1656, 594, 914, 789, 616, 513, 8799, 267, 26982, 2678, 4244, 547, 930, 19471, 524, 2096, 321, 1023, 563, 310, 3402, 2473, 2643, 25869, 676, 1546, 570, 719, 1696, 1546, 681, 1329, 1107, 901, 814, 1250, 27385, 779, 2012, 2854, 782, 936, 621, 269, 594, 786, 723, 547, 7227, 585, 513, 15964, 950, 938, 530, 29168, 786, 711, 581, 2877, 585, 513, 1247, 269, 594, 723, 513, 4743, 1310, 649, 1118, 713, 267, 649, 4465, 1406, 581, 2111, 547, 530, 3402, 630, 24047, 585, 513, 1906, 4374, 563, 763, 4107, 11300, 18789, 28042, 29698, 585, 8866, 2336, 307, 889, 7469, 821, 676, 7591, 267, 7327, 267, 700, 2795, 630, 15062, 1100, 3476, 2139, 264, 1107, 4270, 267, 1175, 1413, 693, 621, 8627, 594, 993, 14281, 594, 993, 1869, 9361, 1934, 1603, 543, 711, 2870, 835, 540, 891, 8885, 1318, 1631, 2336, 23210, 24125, 676, 14205, 11803, 13067, 17360, 1107, 5975, 596, 723, 2760, 2938, 513, 3943, 18057, 3833, 899, 713, 835, 256, 1280, 721, 267, 621, 786, 2154, 930, 7727, 649, 1810, 1406, 723, 693, 1753, 1765, 3697, 513, 1187, 6773, 543, 1351, 2607, 730, 10612, 28559, 621, 1175, 1522, 581, 4502, 519, 7552, 2336, 14888, 312, 9894, 3455, 573, 5622, 676, 5565, 1673, 531, 5622, 630, 15062, 1100, 3476, 2139, 264, 1107, 5221, 930, 2395, 596, 1175, 991, 547, 1118, 513, 9894, 3455, 573, 5622, 269, 3502, 2386, 1018, 513, 9894, 3455, 573, 5622, 568, 286, 4270, 267, 2221, 568, 519, 1554, 547, 1265, 856, 2828, 2336, 290, 665, 14777, 26425, 29698, 676, 5565, 1673, 531, 5622, 630, 15062, 1100, 3476, 2139, 264, 1107, 901, 835, 568, 971, 513, 2189, 2856, 256, 1548, 513, 1187, 1259, 547, 2263, 3280, 563, 17829, 616, 2614, 19471, 7574, 7405, 547, 1832, 707, 1920, 7900, 782, 1032, 2336, 296, 2995, 596, 267, 952, 596, 616, 2479, 711, 2386, 1018, 547, 798, 609, 707, 2370, 3283, 593, 513, 24925, 1554, 267, 610, 952, 513, 1404, 11845, 568, 2469, 1659, 787, 267, 610, 952, 621, 779, 513, 6777, 1554, 585, 519, 2462, 3214, 2507, 19471, 7574, 7405, 786, 581, 707, 9494, 11419, 563, 7476, 519, 13159, 23467, 1041, 8535, 5149, 5530, 454, 294, 4599, 519, 2407, 28042, 29698, 5149, 5530, 1318, 1934, 281, 4179, 2517, 3333, 641, 269, 6011, 933, 324, 16753, 2593, 9706, 20094, 11721, 13637, 15492, 24713, 344, 2173, 639, 673, 2987, 11584, 906, 454, 5319, 2809, 267, 1250, 3659, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5858, 780, 3519, 1417, 878, 10580, 723, 519, 1482, 30268, 780, 13981, 547, 946, 513, 22315, 568, 899, 1565, 547, 11878, 513, 17919, 269, 898, 3217, 1071, 268, 867, 1588, 543, 2259, 269, 5213, 1405, 581, 19849, 21724, 952, 621, 4422, 4636, 269, 2060, 2259, 596, 786, 1205, 1360, 1434, 693, 621, 269, 1403, 707, 10580, 1439, 909, 1373, 782, 530, 984, 29087, 3515, 267, 1175, 2253, 1586, 2439, 2080, 616, 930, 4388, 585, 5373, 10580, 912, 1892, 1403, 707, 10580, 616, 7432, 883, 3303, 1023, 621, 568, 1317, 519, 7916, 540, 707, 22315, 723, 6410, 269, 6744, 741, 8700, 1586, 1996, 513, 14610, 563, 1892, 1403, 519, 7916, 540, 707, 22315, 4465, 1405, 3251, 538, 519, 2990, 596, 1305, 873, 693, 267, 621, 568, 1317, 519, 2428, 693, 519, 554, 16636, 2630, 519, 6023, 568, 10690, 269, 9105, 707, 4116, 547, 948, 596, 952, 596, 666, 1405, 9395, 523, 621, 3054, 563, 1892, 1403, 596, 666, 1405, 798, 519, 6335, 267, 4952, 596, 723, 513, 1507, 4062, 540, 2571, 10036, 1063, 707, 14853, 543, 2062, 325, 5424, 543, 596, 616, 3843, 547, 5066, 621, 883, 513, 1507, 14816, 269, 634, 6335, 585, 7432, 707, 22315, 3096, 519, 1482, 1826, 540, 23510, 3350, 269, 2913, 519, 22315, 13793, 689, 707, 1688, 538, 519, 2011, 543, 6335, 519, 6023, 269, 3973, 2119, 621, 593, 16150, 1957, 513, 1906, 2053, 2394, 596, 666, 2490, 519, 22315, 3362, 780, 290, 597, 3380, 593, 10580, 692, 2005, 781, 942, 547, 723, 930, 1187, 609, 519, 22315, 1247, 3478, 1732, 693, 1210, 621, 269, 7427, 891, 5528, 547, 2721, 519, 4190, 4806, 3254, 593, 519, 1318, 538, 707, 3635, 1433, 780, 272, 269, 5269, 2386, 707, 15513, 568, 8325, 282, 1287, 1747, 621, 538, 519, 22315, 780, 273, 269, 5590, 519, 8953, 547, 476, 275, 4699, 269, 8571, 513, 5858, 693, 519, 8998, 540, 707, 2985, 269, 12830, 281, 707, 8953, 1590, 3251, 519, 1482, 585, 519, 2898, 2534, 780, 274, 269, 10925, 707, 22315, 1448, 9170, 593, 519, 5858, 6316, 269, 8571, 1776, 5858, 269, 901, 5858, 1058, 1780, 998, 519, 8998, 540, 707, 1101, 5858, 630, 16269, 723, 519, 1482, 8953, 6393, 275, 269, 2659, 2034, 5858, 11912, 519, 1101, 5858, 693, 1079, 2798, 269, 7994, 835, 540, 891, 2798, 269, 9255, 707, 22315, 1448, 693, 713, 1448, 269, 8571, 1776, 5858, 540, 8953, 476, 275, 4699, 780, 276, 269, 19244, 1900, 476, 274, 609, 707, 3791, 5858, 267, 8772, 5858, 3092, 269, 1411, 1058, 1439, 909, 609, 3670, 10580, 593, 707, 1101, 5858, 269, 2334, 568, 267, 5722, 10580, 538, 2698, 780, 277, 269, 5463, 28672, 621, 607, 596, 5225, 269, 630, 2791, 666, 30164, 707, 4806, 2417, 676, 4946, 811, 10580, 610, 11836, 2798, 609, 2786, 3515, 267, 543, 865, 593, 269, 6423, 1018, 3270, 543, 5546, 596, 666, 3605, 1851, 782, 519, 10580, 24355, 8794, 10580, 547, 2721, 824, 5515, 692, 10481, 6248, 5515, 15720, 538, 519, 10580, 692, 19350, 568, 513, 1305, 540, 5722, 10580, 899, 519, 835, 596, 16668, 269, 23063, 609, 513, 7649, 543, 2119, 547, 1265, 6456, 29977, 780, 2791, 786, 1265, 891, 29977, 676, 11836, 519, 2798, 1141, 519, 10580, 2759, 1142, 824, 269, 634, 2798, 786, 581, 519, 14622, 540, 519, 29977, 269, 6733, 5402, 269, 1703, 616, 12730, 267, 9076, 559, 831, 1023, 267, 20008, 30368, 543, 15279, 30368, 269, 1879, 596, 666, 1294, 873, 267, 28426, 543, 5402, 4341, 538, 741, 5011, 609, 513, 15513, 269, 1403, 972, 568, 711, 2614, 2230, 593, 519, 1305, 540, 10580, 2630, 267, 2699, 3863, 519, 10580, 593, 513, 5094, 4062, 540, 1957, 543, 1397, 519, 5515, 972, 269, 1403, 596, 6999, 267, 596, 666, 2268, 519, 7285, 693, 1142, 14584, 543, 519, 13080, 540, 519, 5011, 780, 6635, 14369, 540, 10580, 692, 2171, 798, 711, 723, 547, 2721, 2898, 10580, 547, 4020, 5515, 269, 1284, 616, 1152, 2731, 5461, 538, 519, 2798, 1141, 519, 10580, 3444, 1142, 824, 267, 865, 649, 1223, 1175, 2721, 9095, 338, 1141, 789, 3444, 269, 8921, 1032, 267, 596, 786, 946, 9095, 338, 538, 707, 12166, 25481, 780, 2304, 9095, 568, 513, 1507, 851, 540, 513, 5858, 269, 1284, 946, 519, 2165, 18592, 950, 649, 3277, 547, 519, 3845, 1472, 513, 5858, 610, 1472, 1022, 824, 17208, 3337, 780, 2710, 519, 1739, 538, 707, 3635, 1433, 1384, 272, 269, 8571, 606, 9095, 1210, 513, 8953, 540, 476, 274, 4699, 780, 273, 269, 8571, 606, 9095, 8273, 982, 513, 10116, 5858, 267, 1210, 513, 8953, 540, 476, 276, 4699, 780, 274, 269, 8571, 606, 9095, 4130, 982, 513, 10116, 5858, 267, 1210, 513, 8953, 540, 476, 276, 4699, 780, 5319, 5341, 618, 692, 5629, 596, 723, 8737, 519, 960, 538, 3296, 476, 275, 269, 279, 267, 4603, 609, 5373, 1152, 519, 9095, 338, 602, 596, 991, 538, 1585, 25481, 269, 3371, 568, 606, 1383, 547, 1397, 875, 547, 4020, 513, 2834, 15279, 6782, 609, 1152, 9095, 338, 1384, 293, 13399, 5515, 538, 519, 5722, 2275, 22511, 4806, 692, 2690, 713, 2534, 596, 991, 2947, 5722, 2275, 22511, 5036, 899, 519, 3283, 6537, 538, 519, 3105, 1079, 2238, 269, 3399, 676, 5373, 891, 593, 10145, 4773, 540, 1957, 269, 5213, 1405, 1118, 707, 8953, 8273, 982, 476, 275, 4699, 269, 7089, 707, 5036, 4137, 476, 273, 547, 4137, 476, 277, 269, 22443, 1142, 4137, 607, 3254, 593, 519, 1318, 780, 272, 269, 7427, 519, 5528, 2630, 780, 1892, 7612, 476, 272, 281, 2422, 519, 4137, 7258, 269, 8571, 3515, 8220, 9474, 267, 7460, 267, 7131, 11783, 1547, 1547, 909, 547, 14174, 563, 1892, 7612, 476, 273, 281, 8571, 3515, 8220, 589, 267, 744, 543, 645, 563, 1892, 7612, 476, 274, 281, 8571, 3515, 8220, 645, 267, 674, 543, 667, 563, 1892, 7612, 476, 275, 281, 8571, 3515, 8220, 7460, 267, 9460, 267, 31246, 543, 674, 289, 563, 1892, 7612, 476, 276, 281, 8571, 3515, 8220, 7131, 267, 16692, 267, 31246, 543, 674, 290, 563, 1892, 7612, 476, 277, 281, 8571, 3515, 8220, 9474, 267, 7460, 267, 9460, 543, 661, 288, 563, 273, 269, 13159, 519, 3349, 2630, 780, 2005, 2982, 519, 2012, 540, 1142, 4137, 543, 922, 3601, 780, 8201, 476, 272, 630, 517, 519, 1318, 264, 814, 1044, 2944, 607, 606, 1383, 780, 7612, 8745, 540, 4137, 16544, 476, 272, 8617, 15279, 6782, 476, 277, 21758, 4137, 269, 2353, 519, 5011, 616, 3160, 269, 2353, 519, 9703, 7285, 616, 3160, 269, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 692, 17746, 1192, 930, 811, 5515, 692, 5649, 519, 5528, 5402, 543, 1246, 873, 4010, 780, 272, 269, 8571, 513, 1899, 538, 707, 3635, 1433, 269, 634, 1899, 1058, 581, 1063, 476, 274, 543, 476, 277, 4699, 1279, 269, 8571, 621, 538, 519, 1647, 540, 707, 2985, 780, 273, 269, 22443, 519, 7475, 589, 543, 645, 780, 274, 269, 9255, 519, 1448, 540, 707, 22315, 693, 1448, 589, 269, 28392, 1305, 519, 8953, 540, 707, 22315, 547, 519, 3845, 1063, 589, 543, 645, 780, 275, 269, 8571, 513, 5858, 609, 519, 22315, 1448, 693, 589, 780, 276, 269, 8571, 1776, 5858, 609, 519, 22315, 1448, 693, 645, 1510, 4657, 519, 8953, 8700, 780, 277, 269, 634, 10580, 3444, 693, 1079, 2798, 269, 7994, 835, 540, 891, 2798, 269, 22443, 621, 595, 269, 6744, 602, 596, 616, 593, 519, 1318, 3950, 676, 9236, 707, 17250, 547, 519, 835, 593, 519, 1318, 780, 278, 269, 28392, 4341, 519, 3515, 8028, 543, 7460, 780, 279, 269, 1548, 4990, 540, 4137, 568, 13235, 286, 6744, 713, 676, 7893, 7285, 269, 4208, 798, 596, 1589, 713, 5949, 2496, 272, 269, 8571, 1079, 3515, 623, 304, 543, 30040, 538, 707, 3635, 1433, 780, 1892, 634, 3515, 2743, 543, 1106, 606, 5086, 693, 1627, 563, 1892, 1411, 666, 1118, 707, 5086, 1022, 2450, 563, 1892, 5269, 707, 1899, 13080, 1114, 563, 1892, 1684, 711, 1118, 707, 3515, 3476, 982, 476, 277, 4699, 1142, 563, 1892, 9255, 707, 22315, 1448, 693, 1448, 1627, 269, 5590, 519, 8953, 540, 707, 22315, 547, 519, 3845, 1627, 303, 269, 9255, 519, 22315, 1448, 693, 681, 269, 8571, 513, 5858, 780, 1892, 9255, 519, 22315, 1448, 1394, 693, 1627, 269, 5590, 519, 8953, 547, 519, 3259, 30040, 269, 9255, 519, 22315, 1448, 693, 623, 269, 8571, 513, 5858, 780, 1892, 634, 1079, 10580, 3444, 693, 1079, 2798, 269, 32341, 799, 1448, 786, 581, 519, 14584, 540, 513, 25521, 269, 11910, 713, 1448, 590, 780, 1892, 15012, 519, 3515, 9501, 543, 22804, 269, 1772, 623, 304, 11965, 513, 25521, 2496, 306, 15036, 547, 1589, 827, 692, 3963, 1281, 713, 1505, 1106, 513, 25521, 2496, 13640, 5537, 543, 13902, 3515, 609, 10580, 692, 13640, 5537, 543, 13902, 692, 272, 269, 31280, 281, 13159, 891, 8847, 780, 272, 269, 1879, 835, 1899, 568, 6252, 547, 1776, 1899, 267, 519, 3515, 692, 273, 269, 1879, 835, 1899, 568, 13902, 547, 1776, 1899, 267, 519, 3515, 692, 273, 269, 589, 5722, 2275, 22511, 4137, 814, 1044, 6537, 2630, 269, 634, 10167, 2798, 723, 1044, 6825, 269, 589, 1899, 10126, 814, 1044, 6537, 538, 269, 2422, 513, 14610, 543, 15513, 547, 6443, 8424, 540, 2798, 865, 602, 519, 3515, 616, 1384, 272, 269, 6252, 547, 519, 1899, 10126, 692, 273, 269, 13902, 547, 519, 1899, 10126, 780, 2691, 1079, 3515, 630, 528, 9095, 338, 264, 3444, 1142, 824, 649, 2161, 789, 12969, 780, 763, 10167, 1448, 568, 519, 1747, 1141, 789, 2743, 780, 2791, 1058, 723, 6537, 476, 278, 3515, 630, 273, 6252, 543, 476, 276, 13902, 547, 519, 1899, 10126, 1040, 24718, 707, 3515, 609, 513, 3659, 781, 3515, 269, 1684, 596, 3858, 2496, 274, 269, 769, 707, 3635, 1433, 267, 2721, 513, 1906, 10580, 609, 519, 1482, 8953, 2059, 513, 1899, 269, 3399, 676, 5373, 513, 1899, 269, 3973, 946, 707, 22315, 547, 2721, 513, 5858, 609, 519, 30268, 593, 519, 1899, 780, 16605, 707, 22315, 519, 1482, 8700, 543, 2721, 1776, 5858, 609, 519, 8998, 1141, 519, 1101, 5858, 18084, 519, 1899, 269, 19244, 607, 1082, 2053, 607, 596, 6999, 269, 769, 519, 1383, 693, 519, 5377, 540, 519, 3105, 2985, 1152, 1614, 10580, 723, 1044, 6537, 780, 272, 269, 2052, 596, 1265, 602, 1383, 538, 519, 5722, 2275, 22511, 4137, 286, 6733, 5402, 2394, 596, 1294, 621, 780, 273, 269, 2052, 596, 1294, 1141, 596, 666, 4020, 3515, 602, 616, 13902, 547, 519, 2016, 1899, 286, 8571, 873, 5402, 609, 513, 15513, 543, 707, 14610, 780, 274, 269, 2052, 596, 1294, 519, 1079, 3515, 602, 616, 6252, 547, 519, 2016, 1899, 286, 8571, 873, 538, 1932, 780, 275, 269, 2422, 10580, 547, 4020, 513, 1899, 602, 568, 13902, 547, 519, 1899, 2630, 780, 276, 269, 2422, 10580, 547, 4020, 513, 1899, 602, 568, 6252, 547, 519, 1899, 2630, 780, 15761, 3290, 692, 272, 269, 5590, 707, 22315, 693, 513, 1978, 3845, 267, 585, 1383, 476, 274, 4699, 267, 543, 8495, 2798, 602, 616, 519, 1482, 3845, 689, 513, 6378, 1448, 267, 623, 780, 273, 269, 2422, 707, 22315, 543, 8495, 782, 519, 2798, 602, 616, 693, 519, 1482, 3845, 267, 585, 1383, 476, 274, 4699, 267, 689, 1079, 6378, 2798, 267, 589, 543, 645, 780, 10481, 5852, 540, 5546, 692, 1103, 713, 3184, 267, 596, 786, 1451, 827, 1114, 5686, 540, 476, 273, 291, 5546, 269, 1411, 786, 1451, 519, 4408, 2016, 547, 1114, 5546, 269, 1411, 786, 849, 1451, 827, 519, 1114, 3601, 602, 1114, 2010, 540, 5546, 723, 538, 6935, 547, 741, 5011, 543, 7285, 780, 31590, 9201, 267, 9076, 559, 831, 1023, 267, 10580, 543, 1866, 692, 13356, 728, 799, 568, 799, 543, 2721, 930, 5515, 692, 288, 6906, 568, 513, 6806, 4137, 609, 1614, 2786, 5011, 543, 1614, 7285, 780, 288, 29105, 814, 2185, 2786, 5011, 543, 2185, 7285, 780, 288, 5858, 568, 5180, 543, 519, 6316, 568, 2141, 693, 519, 1482, 3845, 689, 519, 8998, 780, 272, 269, 6904, 5546, 593, 519, 6587, 2985, 616, 10580, 2496, 273, 269, 6904, 5546, 593, 519, 6587, 2985, 616, 12730, 2496, 274, 269, 6904, 5546, 593, 519, 6587, 2985, 616, 9076, 559, 831, 1023, 2496, 8196, 707, 14610, 547, 798, 519, 1739, 1384, 275, 269, 5269, 513, 5373, 540, 835, 6906, 609, 1614, 8650, 7285, 267, 543, 1776, 6906, 609, 835, 1073, 339, 2224, 5086, 780, 272, 269, 8571, 513, 29105, 609, 1079, 1073, 339, 2224, 7285, 780, 273, 269, 2052, 596, 2721, 513, 6906, 609, 1079, 1073, 339, 2224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24998, 2187, 453, 18851, 420, 364, 481, 17958, 26033, 483, 8147, 28997, 350, 419, 494, 484, 417, 495, 377, 10524, 353, 25520, 18777, 364, 25051, 499, 20721, 354, 417, 379, 501, 8147, 23946, 370, 23746, 418, 490, 487, 23521, 350, 10524, 370, 418, 489, 496, 14756, 507, 417, 495, 377, 10524, 353, 12486, 12163, 22592, 6449, 8181, 9191, 1345, 267, 3193, 8548, 583, 2023, 267, 3193, 15220, 1157, 523, 267, 3193, 318, 1122, 326, 8690, 2187, 453, 453, 27273, 263, 1103, 341, 20269, 267, 1582, 1040, 1029, 8181, 1029, 4590, 453, 19677, 27982, 8548, 583, 2023, 815, 3193, 8548, 583, 2023, 454, 453, 19677, 27982, 15220, 1157, 523, 815, 3193, 15220, 1157, 523, 454, 453, 19677, 27982, 318, 1122, 326, 8690, 815, 3193, 318, 1122, 326, 8690, 454, 453, 19677, 2593, 332, 1343, 815, 29129, 22592, 1039, 318, 12252, 4311, 267, 4971, 2187, 453, 14851, 1826, 263, 12252, 264, 2652, 16710, 318, 272, 912, 4848, 14851, 1582, 27982, 8548, 583, 2023, 10922, 476, 271, 912, 15235, 13537, 3488, 419, 378, 488, 420, 480, 487, 4970, 366, 419, 481, 353, 14395, 490, 29072, 8147, 9463, 500, 418, 370, 486, 417, 495, 377, 10524, 353, 12486, 5073, 15235, 16596, 454, 4848, 19677, 2593, 332, 1343, 6910, 263, 12252, 994, 4848, 19677, 27982, 8548, 583, 2023, 20699, 476, 272, 454, 453, 453, 19197, 1826, 263, 12252, 264, 2652, 16710, 318, 273, 912, 4848, 14851, 1582, 27982, 15220, 1157, 523, 10922, 476, 271, 912, 15235, 13537, 3488, 421, 372, 350, 419, 379, 483, 419, 481, 353, 14395, 490, 29072, 8147, 29004, 351, 22047, 5405, 509, 5073, 15235, 16596, 454, 4848, 19677, 2593, 332, 1343, 6910, 263, 12252, 994, 4848, 19677, 27982, 15220, 1157, 523, 20699, 476, 272, 454, 453, 453, 19197, 1826, 263, 12252, 264, 2652, 16710, 318, 274, 912, 4848, 14851, 1582, 27982, 318, 1122, 326, 8690, 10922, 476, 271, 912, 15235, 13537, 3488, 420, 490, 482, 31878, 418, 366, 350, 20069, 29072, 8147, 419, 481, 353, 30536, 420, 480, 487, 12571, 356, 12486, 5073, 15235, 16596, 454, 4848, 19677, 2593, 332, 1343, 6910, 263, 12252, 994, 4848, 19677, 27982, 318, 1122, 326, 8690, 20699, 476, 272, 692, 22592, 1397, 318, 5570, 1343, 4311, 2187, 453, 22610, 4971, 538, 1582, 2593, 332, 1343, 912, 4848, 13537, 263, 12252, 20508, 267, 4971, 2593, 332, 663, 318, 16911, 2020, 22592, 1045, 5803, 4311, 2187, 453, 453, 516, 576, 1853, 815, 25547, 1853, 4590, 453, 22610, 4971, 538, 1582, 2593, 332, 1343, 912, 4848, 453, 12252, 15630, 23631, 576, 1853, 263, 516, 576, 1853, 264, 453, 453, 258, 476, 13200, 365, 29635, 364, 481, 17958, 26033, 483, 17276, 507, 354, 18777, 378, 419, 377, 362, 17276, 492, 354, 418, 498, 370, 26033, 483, 8147, 10254, 503, 13127, 362, 351, 16043, 371, 419, 360, 363, 476, 9463, 359, 421, 506, 478, 10254, 505, 417, 375, 374, 417, 495, 377, 10524, 353, 8147, 21251, 421, 506, 478, 28884, 10429, 367, 420, 479, 498, 17276, 492, 354, 418, 498, 370, 26033, 483, 8147, 12916, 379, 17276, 492, 354, 418, 498, 370, 26033, 483, 476, 4970, 492, 13127, 362, 351, 16043, 371, 419, 360, 363, 476, 25335, 352, 26033, 355, 454, 4848, 453, 12252, 20216, 322, 1393, 4590, 453, 19677, 2593, 332, 1343, 815, 29129, 454, 5035, 25547, 1853, 24998, 2187, 453, 18851, 417, 495, 377, 10524, 353, 26406, 354, 418, 498, 370, 26033, 483, 8147, 420, 368, 509, 420, 368, 352, 10429, 371, 12916, 497, 19867, 356, 27310, 417, 495, 377, 10524, 353, 12486, 12163, 22592, 2300, 1393, 318, 12252, 318, 272, 4311, 267, 4971, 2187, 453, 13537, 3488, 8333, 663, 476, 272, 22614, 481, 353, 419, 378, 488, 420, 480, 487, 4970, 366, 281, 3299, 4971, 2593, 332, 663, 318, 16911, 2020, 22592, 2300, 1393, 318, 12252, 318, 273, 4311, 267, 4971, 2187, 453, 13537, 3488, 8333, 663, 476, 273, 22614, 481, 353, 421, 372, 350, 419, 379, 483, 281, 3299, 4971, 2593, 332, 663, 318, 16911, 994, 4848, 454, 22592, 2300, 1393, 318, 12252, 318, 274, 4311, 267, 4971, 2187, 453, 13537, 3488, 8333, 663, 476, 274, 22614, 481, 353, 420, 490, 482, 31878, 281, 3299, 4971, 2593, 332, 663, 318, 16911, 2020, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 28717, 20269, 815, 12833, 20269, 263, 273, 267, 476, 273, 267, 476, 272, 994, 453, 12252, 272, 815, 16710, 318, 272, 3488, 419, 378, 488, 420, 480, 487, 4970, 366, 272, 3299, 7117, 272, 8782, 20693, 510, 20001, 352, 3299, 7117, 273, 8782, 418, 498, 378, 11858, 506, 419, 482, 370, 5073, 453, 28717, 20269, 14491, 318, 12252, 263, 12252, 272, 994, 453, 12252, 273, 815, 16710, 318, 272, 3488, 419, 378, 488, 420, 480, 487, 4970, 366, 273, 3299, 7117, 272, 8782, 418, 498, 378, 420, 495, 365, 5073, 453, 28717, 20269, 14491, 318, 12252, 263, 12252, 273, 994, 453, 12252, 274, 815, 16710, 318, 273, 3488, 421, 372, 350, 419, 379, 483, 272, 3299, 7117, 272, 8782, 20693, 510, 420, 506, 506, 419, 367, 500, 5073, 453, 28717, 20269, 14491, 318, 12252, 263, 12252, 274, 994, 453, 12252, 275, 815, 16710, 318, 273, 3488, 421, 372, 350, 419, 379, 483, 273, 3299, 7117, 272, 8782, 21251, 28884, 20001, 352, 5073, 453, 28717, 20269, 14491, 318, 12252, 263, 12252, 275, 994, 453, 12252, 276, 815, 16710, 318, 274, 3488, 420, 490, 482, 31878, 272, 3299, 7117, 272, 8782, 14035, 504, 420, 496, 506, 3299, 7117, 273, 8782, 14035, 504, 20001, 352, 5073, 453, 28717, 20269, 14491, 318, 12252, 263, 12252, 276, 994, 453, 12252, 277, 815, 16710, 318, 274, 3488, 420, 490, 482, 31878, 273, 5073, 453, 28717, 20269, 14491, 318, 12252, 263, 12252, 277, 2020, 453, 28717, 20269, 23357, 341, 5803, 10797, 19638, 692, 7531, 4848, 454, 4848, 454, 4848, 0, 258, 8193, 281, 30016, 268, 279, 454, 18411, 453, 14756, 482, 12571, 486, 418, 357, 350, 19764, 493, 16088, 28098, 28098, 420, 365, 350, 14756, 482, 12571, 486, 29873, 7511, 2108, 421, 481, 357, 26166, 268, 10533, 368, 12916, 497, 892, 7511, 31271, 480, 418, 361, 350, 14756, 497, 22909, 482, 8147, 14395, 508, 27064, 364, 14756, 509, 13601, 7511, 418, 497, 491, 30853, 25913, 25622, 25707, 18257, 692, 5814, 705, 322, 692, 5035, 9517, 529, 2452, 263, 29582, 269, 27398, 2187, 453, 18851, 25269, 11415, 585, 9517, 529, 2452, 12163, 453, 287, 29582, 269, 629, 5724, 24709, 454, 22592, 4159, 4311, 267, 3178, 2187, 453, 453, 18257, 629, 5724, 18257, 7531, 5035, 4972, 263, 2839, 529, 2452, 2187, 453, 18851, 25269, 11415, 585, 9517, 788, 3477, 12163, 22592, 6449, 8181, 9191, 1345, 267, 2012, 2187, 453, 19677, 20508, 815, 2012, 454, 453, 19677, 16553, 24119, 25902, 815, 11713, 453, 19677, 269, 655, 1943, 4315, 815, 29129, 22592, 1039, 5334, 889, 24119, 3477, 4311, 267, 8257, 2187, 453, 19677, 16553, 24119, 25902, 6910, 5560, 788, 3477, 2020, 22592, 4894, 5334, 889, 24119, 3477, 4311, 267, 8257, 2187, 453, 14851, 8257, 538, 1582, 16553, 24119, 25902, 912, 4848, 19677, 16553, 24119, 25902, 31927, 5560, 788, 3477, 2020, 22592, 1039, 318, 655, 1943, 2465, 4311, 267, 9441, 2187, 453, 19677, 269, 655, 1943, 4315, 6910, 263, 655, 1943, 2465, 2020, 22592, 4894, 318, 655, 1943, 2465, 4311, 267, 9441, 2187, 453, 14851, 9441, 538, 1582, 269, 655, 1943, 4315, 912, 4848, 19677, 269, 655, 1943, 4315, 31927, 263, 655, 1943, 2465, 994, 28768, 22592, 4159, 4311, 267, 3178, 2187, 453, 13537, 28361, 339, 262, 265, 323, 3704, 267, 1412, 23430, 281, 3299, 1582, 20508, 994, 453, 453, 323, 3704, 6834, 476, 272, 454, 453, 22610, 9441, 538, 1582, 269, 655, 1943, 4315, 912, 4848, 453, 655, 1943, 2465, 269, 5891, 5560, 3704, 994, 453, 22610, 8257, 538, 1582, 16553, 24119, 25902, 912, 4848, 453, 24119, 3477, 269, 5891, 5560, 3704, 9239, 5035, 31287, 263, 2839, 529, 2452, 2187, 453, 18851, 25269, 11415, 585, 31287, 12163, 22592, 6449, 8181, 9191, 1345, 267, 2012, 2187, 453, 453, 27273, 263, 32715, 2465, 267, 1582, 1040, 1029, 8181, 1029, 4590, 453, 19677, 20508, 815, 2012, 692, 22592, 4159, 4311, 267, 3178, 2187, 453, 13537, 28361, 339, 262, 265, 323, 3704, 267, 1412, 32715, 2465, 281, 3299, 1582, 20508, 994, 4848, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 1372, 696, 272, 815, 4972, 3488, 418, 488, 478, 10951, 363, 18809, 417, 379, 481, 5073, 453, 1372, 696, 273, 815, 4972, 3488, 417, 509, 374, 419, 350, 478, 13213, 494, 14756, 368, 5073, 453, 1372, 696, 272, 14491, 5334, 889, 24119, 3477, 263, 1372, 696, 273, 994, 453, 1372, 696, 272, 14491, 5334, 889, 24119, 3477, 263, 23430, 3488, 4970, 504, 20693, 350, 13213, 494, 14756, 368, 29125, 453, 1372, 696, 272, 14491, 5334, 889, 24119, 3477, 263, 23430, 3488, 4970, 504, 20693, 350, 19764, 478, 9463, 495, 29125, 453, 1372, 696, 273, 14491, 5334, 889, 24119, 3477, 263, 23430, 3488, 1636, 531, 10807, 2020, 453, 11391, 272, 815, 31287, 3488, 329, 518, 787, 5073, 453, 11391, 273, 815, 31287, 3488, 326, 580, 7714, 5073, 453, 1372, 696, 272, 14491, 318, 655, 1943, 2465, 263, 11391, 273, 2020, 453, 11391, 272, 269, 5891, 263, 272, 994, 453, 1372, 696, 272, 269, 5891, 263, 272, 2020, 19638, 19638, 19638, 19638, 0, 258, 12361, 589, 5910, 11712, 3060, 602, 17767, 519, 1641, 540, 606, 3239, 454, 5814, 23290, 454, 5228, 623, 6579, 1104, 12005, 454, 5814, 23290, 8542, 333, 607, 562, 333, 454, 5228, 23290, 9679, 1104, 21810, 454, 5814, 13668, 454, 5228, 476, 1470, 1104, 1635, 5052, 22473, 7531, 5814, 6908, 26569, 607, 588, 454, 5814, 21795, 607, 19073, 692, 560, 15630, 318, 641, 5406, 3488, 24119, 13440, 566, 20481, 12803, 308, 22744, 518, 21886, 5317, 3299, 8771, 994, 560, 26644, 2891, 290, 19564, 717, 3198, 910, 7504, 547, 29588, 15419, 560, 269, 5658, 6658, 18692, 825, 5727, 288, 5910, 11712, 2203, 602, 535, 1389, 621, 2394, 621, 2306, 621, 269, 22322, 825, 717, 3198, 6763, 585, 30462, 10779, 25106, 3060, 267, 1141, 30462, 1797, 1945, 568, 1373, 2813, 630, 514, 713, 2013, 267, 16995, 25704, 1070, 10779, 25106, 1797, 519, 1079, 5121, 616, 12721, 547, 856, 8243, 691, 519, 824, 267, 543, 1134, 269, 22322, 825, 1452, 5121, 616, 835, 540, 519, 1034, 3312, 4093, 540, 2487, 2620, 1565, 1382, 12163, 9239, 5035, 1763, 15187, 28343, 3799, 333, 8160, 617, 2544, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3897, 2187, 1038, 2706, 263, 4910, 15187, 28343, 267, 1582, 1040, 1029, 8181, 1029, 4590, 1038, 1582, 26769, 341, 318, 23026, 815, 1582, 12500, 4265, 318, 935, 341, 318, 23026, 5560, 574, 2020, 825, 1219, 1628, 318, 935, 341, 318, 23026, 4311, 267, 3897, 2187, 1038, 5996, 318, 23026, 815, 29129, 1038, 5996, 318, 23026, 6834, 1496, 25699, 269, 8269, 3005, 303, 611, 273, 323, 263, 272, 264, 6540, 1038, 5996, 318, 23026, 6834, 1496, 454, 2018, 562, 333, 269, 3519, 341, 273, 323, 5560, 574, 267, 3897, 267, 17830, 15481, 284, 274, 267, 14950, 3429, 284, 271, 267, 9186, 18989, 13211, 2018, 562, 333, 269, 9743, 766, 32207, 273, 323, 5560, 574, 13211, 2018, 562, 333, 269, 3725, 299, 308, 263, 12148, 13211, 1038, 476, 6540, 1038, 5996, 318, 23026, 6834, 1496, 25699, 269, 8269, 3005, 303, 611, 273, 323, 263, 272, 264, 6540, 1038, 5996, 318, 23026, 6834, 1496, 454, 2018, 562, 333, 269, 3519, 341, 273, 323, 5560, 574, 267, 3897, 267, 17830, 15481, 284, 274, 267, 14950, 3429, 284, 271, 267, 9186, 18989, 13211, 2018, 562, 333, 269, 9743, 766, 32207, 273, 323, 5560, 574, 13211, 1038, 476, 6540, 1038, 2132, 562, 333, 2529, 3225, 1113, 28949, 935, 341, 318, 23026, 2020, 825, 1219, 4464, 4311, 267, 1535, 2187, 1038, 856, 815, 1535, 1341, 1582, 26769, 341, 318, 23026, 3287, 994, 1038, 2132, 856, 7531, 5035, 1763, 15187, 17653, 1807, 3799, 333, 8160, 617, 2544, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3403, 5332, 322, 284, 274, 267, 3977, 5332, 322, 284, 274, 267, 23356, 325, 284, 5038, 267, 562, 318, 4565, 4169, 284, 280, 2567, 476, 1948, 2999, 274, 285, 692, 1038, 7682, 562, 318, 4565, 4169, 13843, 476, 271, 454, 1038, 2706, 263, 4910, 15187, 17653, 1807, 267, 1582, 1040, 1029, 8181, 9191, 2020, 1038, 1582, 269, 6358, 5332, 322, 815, 3403, 5332, 322, 454, 1038, 1582, 269, 16059, 5332, 322, 815, 3977, 5332, 322, 454, 1038, 1582, 269, 978, 325, 815, 23356, 325, 692, 1038, 2203, 815, 1496, 454, 2018, 562, 333, 269, 8269, 3005, 303, 611 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2725, 328, 781, 1719, 269, 1261, 3459, 7713, 267, 4358, 609, 26057, 24942, 14644, 267, 519, 9510, 1106, 540, 4457, 1603, 267, 1287, 6410, 5196, 1530, 531, 14644, 267, 519, 1101, 13387, 1106, 269, 1306, 646, 1642, 1386, 4514, 883, 1142, 5736, 267, 10503, 875, 2797, 2242, 6766, 7499, 4447, 1903, 267, 6004, 269, 18681, 954, 915, 539, 267, 834, 3719, 3314, 267, 3214, 267, 13215, 1022, 5578, 3340, 9015, 543, 9639, 3010, 16039, 269, 15651, 3773, 28663, 267, 834, 12148, 267, 855, 621, 781, 8449, 1271, 547, 2972, 1018, 596, 798, 269, 3203, 568, 513, 8086, 540, 938, 4664, 1310, 782, 3010, 4504, 29098, 267, 9149, 2725, 328, 4956, 547, 1711, 1200, 1378, 4062, 1210, 2609, 540, 26057, 543, 1530, 531, 20072, 269, 2701, 5916, 519, 16134, 540, 6698, 689, 26057, 14644, 543, 519, 25894, 540, 3515, 2938, 538, 1530, 531, 14644, 269, 1879, 1352, 23217, 4843, 1200, 960, 547, 519, 1895, 267, 3025, 15874, 1200, 5499, 1935, 4849, 585, 6004, 269, 18681, 269, 1261, 22309, 10792, 569, 267, 834, 6546, 781, 711, 1697, 30951, 256, 1411, 991, 547, 1246, 5389, 15323, 14367, 1913, 10413, 9149, 2725, 328, 7184, 269, 1717, 267, 3079, 540, 3478, 27209, 267, 1352, 14059, 29399, 28001, 5275, 5796, 269, 2060, 11587, 543, 1620, 267, 646, 6045, 267, 834, 9209, 814, 1100, 6302, 267, 15210, 269, 898, 781, 827, 11589, 3054, 269, 5213, 1405, 1577, 4896, 6615, 707, 5876, 3010, 30537, 2725, 328, 4682, 1394, 1753, 6273, 269, 4635, 1200, 16012, 6015, 267, 1352, 4797, 16471, 2025, 543, 1007, 2553, 267, 5555, 3384, 1200, 10058, 2511, 269, 4173, 11247, 6591, 8560, 1369, 519, 2146, 267, 1256, 791, 7675, 6004, 269, 18681, 269, 4014, 7620, 11259, 267, 646, 7691, 602, 5647, 1223, 3986, 2245, 2864, 982, 24183, 621, 780, 1607, 10071, 6026, 3025, 3407, 4245, 827, 18245, 23141, 267, 5807, 5876, 267, 543, 8508, 1689, 9797, 269, 1358, 6956, 602, 1169, 1268, 6770, 1945, 2189, 547, 519, 3349, 267, 7700, 547, 513, 21950, 267, 811, 7524, 13795, 540, 2528, 543, 1702, 269, 1656, 865, 267, 1272, 538, 741, 2370, 7944, 540, 932, 784, 336, 532, 5645, 593, 267, 23353, 676, 4190, 1289, 15572, 625, 543, 7096, 7391, 267, 22348, 3025, 540, 519, 5898, 540, 4763, 267, 2208, 267, 543, 8994, 2463, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 29205, 596, 2491, 519, 1114, 6163, 540, 30951, 538, 4457, 1603, 543, 741, 3140, 4644, 888, 8133, 267, 607, 606, 3642, 1893, 2203, 267, 594, 666, 1683, 930, 1344, 3823, 519, 1114, 6163, 540, 30951, 538, 4457, 1603, 543, 741, 3140, 4644, 780, 272, 269, 26057, 24942, 14644, 630, 4537, 5953, 978, 10202, 5953, 326, 387, 498, 342, 26408, 13127, 499, 484, 14395, 370, 9463, 353, 24757, 994, 302, 20432, 5642, 7097, 568, 519, 9998, 1634, 1106, 540, 4457, 1603, 267, 6580, 1394, 547, 519, 1744, 836, 15913, 630, 322, 269, 476, 8182, 271, 268, 10441, 277, 14514, 1040, 901, 1826, 540, 30951, 729, 1031, 547, 1202, 9216, 7633, 543, 12475, 18857, 16115, 585, 519, 3483, 540, 2820, 1588, 269, 634, 3197, 538, 713, 7097, 616, 1360, 3182, 4919, 267, 2495, 519, 18116, 602, 1118, 909, 519, 3197, 18613, 519, 3615, 789, 616, 5921, 547, 2099, 780, 273, 269, 1530, 531, 14644, 630, 313, 16852, 14504, 333, 342, 26408, 22614, 363, 484, 24757, 994, 5353, 531, 7097, 568, 519, 1101, 13387, 1106, 540, 4457, 1603, 267, 799, 7153, 1282, 519, 31481, 15913, 630, 322, 269, 476, 10441, 277, 268, 21854, 14514, 1040, 901, 2511, 540, 30951, 729, 1031, 5097, 585, 1202, 18587, 593, 20910, 1031, 547, 6461, 6510, 6054, 269, 634, 3197, 538, 713, 7097, 616, 3810, 18935, 1242, 543, 941, 1976, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 476, 272, 269, 273, 11957, 540, 13163, 322, 6483, 538, 7073, 6554, 692, 5331, 3843, 547, 10891, 513, 7372, 2680, 899, 513, 2575, 13037, 610, 513, 5026, 3014, 1510, 1022, 4990, 540, 1062, 538, 1747, 269, 898, 1131, 581, 14784, 256, 4658, 1131, 581, 4881, 1472, 11821, 267, 4247, 9327, 1406, 1205, 2944, 267, 543, 4986, 1131, 2196, 12347, 269, 901, 568, 1141, 29904, 20874, 2097, 538, 13561, 269, 589, 29904, 6483, 568, 606, 3919, 602, 814, 513, 2312, 15796, 267, 6498, 540, 4074, 267, 3652, 543, 6042, 267, 543, 791, 5966, 3347, 1063, 922, 2818, 269, 2755, 789, 949, 711, 2141, 723, 519, 1655, 10639, 630, 3286, 1589, 540, 782, 1346, 24668, 827, 19309, 5604, 6009, 1070, 29904, 20874, 1404, 513, 2629, 1909, 538, 5329, 938, 6608, 8647, 7561, 269, 769, 713, 3296, 267, 649, 786, 2263, 1946, 29904, 20874, 616, 865, 1271, 538, 2413, 2229, 780, 20058, 267, 1577, 781, 2911, 827, 4398, 269, 5620, 596, 2479, 4862, 519, 8360, 968, 1729, 334, 1082, 29397, 27253, 519, 26185, 892, 286, 4270, 267, 4952, 2348, 1932, 1082, 3375, 24237, 538, 5279, 540, 835, 1788, 269, 23875, 1131, 1205, 2944, 256, 2334, 781, 1141, 29904, 20874, 19542, 269, 1358, 1450, 585, 29286, 543, 15518, 566, 540, 4247, 269, 3962, 1268, 1369, 519, 29904, 6483, 814, 741, 1378, 2816, 267, 799, 2636, 873, 547, 1831, 4966, 538, 741, 2361, 269, 1879, 3025, 6487, 1018, 789, 991, 547, 798, 267, 1919, 666, 1205, 12913, 3533, 543, 3927, 780, 4131, 781, 1413, 693, 606, 1383, 269, 5994, 513, 2749, 6499, 547, 1628, 513, 1007, 6288, 269, 1703, 616, 1082, 1114, 3344, 602, 979, 883, 2870, 513, 6288, 1107, 4058, 267, 8888, 267, 4070, 267, 3092, 269, 9453, 513, 29904, 6483, 267, 1169, 2370, 1469, 1522, 723, 547, 581, 9516, 676, 519, 25650, 610, 1256, 519, 3003, 2749, 14643, 269, 1717, 267, 609, 513, 1134, 1922, 4233, 532, 29904, 6483, 267, 1142, 1900, 540, 519, 1184, 666, 581, 17411, 676, 519, 3617, 8257, 610, 8116, 269, 901, 1797, 602, 3785, 666, 1847, 4464, 811, 3533, 543, 609, 1447, 2699, 11746, 780, 5194, 5413, 540, 29904, 20874, 568, 12477, 269, 5221, 972, 616, 1305, 3652, 543, 5773, 538, 1747, 267, 621, 781, 4443, 547, 3180, 1004, 18177, 585, 741, 3527, 269, 1403, 1945, 4422, 4636, 267, 621, 781, 2356, 2312, 945, 1500, 519, 12161, 543, 1018, 3268, 941, 3144, 3056, 909, 547, 621, 269, 901, 2337, 2327, 602, 1857, 22063, 616, 9117, 538, 519, 1655, 1719, 540, 519, 4961, 789, 4196, 269, 3958, 267, 1317, 17531, 13062, 1846, 616, 1419, 12912, 2864, 982, 11221, 267, 789, 1810, 1405, 723, 547, 5855, 827, 1373, 556, 19491, 539, 543, 666, 1445, 9003, 593, 3257, 741, 2816, 547, 519, 1655, 540, 741, 2702, 780, 3086, 267, 1577, 781, 2015, 14619, 269, 2290, 540, 519, 10747, 2934, 540, 513, 29904, 6483, 568, 31717, 640, 269, 1955, 14783, 640, 1797, 8156, 3025, 8449, 267, 7488, 540, 2123, 12886, 610, 4296, 269, 1879, 7231, 609, 2152, 1644, 547, 9204, 267, 14998, 267, 1514, 2533, 267, 543, 824, 2127, 1141, 29904, 20874, 7500, 267, 621, 781, 1898, 602, 3664, 5749, 1405, 6766, 676, 3544, 2188, 269, 1635, 4180, 3160, 2126, 896, 519, 1876, 267, 29904, 20874, 3895, 3972, 543, 6015, 538, 2229, 5238, 780, 288, 1434, 1383, 540, 713, 2501, 689, 519, 1158, 540, 2069, 269, 3427, 13102, 7048, 8185, 593, 17531, 29386, 3889, 547, 1683, 5812, 4507, 3823, 21249, 267, 20343, 267, 9015, 267, 543, 2875, 1489, 269, 1452, 4808, 948, 2327, 602, 1169, 1126, 11392, 606, 12581, 2069, 267, 1100, 2339, 741, 4282, 610, 6381, 780, 4913, 267, 29904, 20874, 5749, 1405, 3501, 269, 31379, 8044, 602, 7050, 2699, 11746, 666, 1291, 547, 3500, 3375, 6194, 3157, 267, 588, 604, 1782, 5647, 543, 5876, 269, 11524, 2161, 602, 29904, 20874, 666, 1831, 1582, 1606, 6326, 267, 26724, 741, 4690, 936, 1346, 540, 519, 4961, 789, 4196, 269, 1809, 5103, 891, 2591, 267, 1034, 2413, 6608, 5431, 519, 2956, 540, 2348, 513, 2178, 267, 2500, 29904, 6483, 538, 1747, 780, 1103, 3932, 267, 29904, 20874, 1404, 513, 4105, 1909, 538, 2413, 10350, 676, 5009, 4398, 267, 12477, 267, 543, 14619, 269, 3414, 7463, 15523, 540, 4074, 267, 3964, 3652, 543, 5773, 267, 543, 791, 5966, 3347, 267, 29904, 20874, 5512, 6608, 547, 4383, 1950, 4238, 543, 5838, 2565, 2533, 547, 741, 23466, 269, 1306, 596, 3136, 4974, 4521, 543, 15348, 540, 13163, 322, 6483, 267, 1832, 538, 2247, 1312, 519, 5383, 543, 1761, 25354, 540, 891, 3906, 607, 596, 1451, 875, 789, 3337, 3609, 4093, 543, 1764, 3232, 2729, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 25187, 543, 15348, 540, 13163, 322, 6483, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 9502, 540, 29904, 6483, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 273, 269, 11957, 540, 29904, 6483, 538, 2413, 2229, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 8702, 547, 938, 1576, 1770, 782, 827, 5274, 12754, 5004, 630, 16281, 300, 25631, 5620, 596, 2479, 9289, 875, 3549, 2327, 789, 723, 519, 1318, 1004, 538, 519, 1318, 6009, 286, 2107, 1018, 4213, 666, 798, 547, 948, 741, 5520, 1332, 543, 8011, 286, 2334, 781, 1141, 15679, 300, 2501, 538, 256, 4653, 649, 786, 2263, 922, 2956, 998, 519, 7828, 540, 16273, 781, 4712, 13402, 28630, 630, 305, 300, 294, 264, 2872, 780, 5575, 267, 1577, 781, 1174, 519, 9238, 540, 15679, 300, 269, 6056, 540, 15679, 300, 899, 513, 11600, 585, 1967, 1107, 621, 10905, 17849, 267, 2866, 267, 30070, 267, 543, 5883, 5520, 865, 602, 3906, 3035, 741, 3853, 269, 5994, 952, 513, 29221, 2044, 4769, 1405, 16926, 9952, 2250, 787, 22730, 610, 1683, 873, 609, 5820, 282, 972, 1131, 581, 1100, 8949, 2250, 1845, 256, 6684, 267, 15679, 300, 2337, 4213, 1265, 519, 1655, 13007, 543, 1711, 513, 2318, 9036, 1604, 780, 3086, 267, 1946, 568, 15679, 300, 1271, 538, 519, 681, 300, 294, 5823, 286, 4270, 267, 1175, 899, 11256, 5863, 25394, 3340, 1390, 22730, 543, 5820, 267, 1818, 1164, 7779, 9660, 2115, 9952, 4600, 543, 3608, 3157, 269, 634, 681, 300, 294, 5823, 538, 16273, 18271, 5111, 476, 275, 269, 273, 2929, 1004, 267, 6140, 2021, 267, 543, 12958, 811, 982, 1614, 20453, 540, 519, 2197, 781, 2698, 18666, 256, 2060, 971, 11141, 2338, 267, 4952, 519, 1764, 540, 2348, 2500, 15679, 2853, 538, 1747, 269, 14992, 1223, 1294, 2799, 7607, 267, 1732, 1587, 2298, 267, 543, 18668, 5520, 945, 1745, 12595, 543, 6462, 780, 4131, 781, 1413, 693, 930, 1483, 3734, 2591, 5185, 676, 519, 681, 300, 294, 2872, 269, 4014, 10854, 14435, 6062, 681, 300, 294, 814, 1500, 1713, 26058, 267, 835, 10770, 1966, 568, 4180, 9846, 1434, 1587, 2298, 269, 1635, 7598, 2178, 15679, 300, 2994, 267, 15327, 666, 1902, 538, 9441, 1646, 543, 7668, 741, 6887, 547, 3565, 5499, 3435, 269, 901, 1797, 3246, 7850, 2866, 3292, 267, 8716, 1930, 2792, 9055, 1063, 9946, 543, 5234, 267, 543, 5356, 4023, 13180, 15004, 547, 4482, 543, 11677, 16805, 2043, 269, 1306, 513, 1267, 267, 891, 9283, 1223, 1291, 547, 2362, 2298, 2472, 543, 3152, 6075, 9547, 780, 11101, 267, 15679, 300, 4249, 513, 2565, 1909, 538, 5466, 1514, 2152, 1369, 519, 681, 300, 294, 5823, 269, 1280, 1383, 267, 3595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 1101, 547, 581, 6299, 5523, 609, 606, 522, 541, 610, 544, 641, 5645, 593, 519, 29940, 779, 31782, 267, 621, 3459, 547, 1350, 728, 538, 2282, 519, 11824, 1851, 519, 536, 1430, 338, 269, 634, 28292, 9041, 1584, 339, 268, 1584, 339, 318, 540, 513, 5179, 2000, 320, 4875, 610, 540, 606, 856, 4580, 5179, 729, 606, 22023, 626, 1043, 16007, 585, 14956, 334, 267, 543, 1352, 1131, 1246, 519, 10935, 899, 513, 2915, 267, 4730, 610, 2267, 2358, 5180, 621, 269, 1403, 1352, 1185, 606, 20882, 547, 32603, 267, 4358, 909, 519, 5179, 1131, 23223, 2406, 2721, 1200, 1394, 1586, 269, 6004, 269, 623, 12685, 2967, 1677, 328, 267, 513, 8575, 9461, 16027, 267, 945, 729, 519, 1101, 547, 7747, 14956, 334, 267, 11339, 267, 968, 9515, 729, 2731, 543, 5963, 513, 1453, 779, 1404, 22940, 269, 4014, 1352, 5129, 609, 6738, 5725, 1352, 729, 2731, 693, 1200, 23406, 1655, 609, 513, 15624, 540, 1453, 10977, 543, 530, 8172, 269, 594, 723, 2938, 1200, 10977, 10838, 1453, 3592, 581, 21794, 547, 581, 4620, 1540, 269, 2701, 1185, 606, 4608, 15967, 5679, 871, 540, 4466, 856, 1346, 945, 941, 9543, 1851, 1200, 1762, 23507, 3464, 267, 543, 5329, 2476, 689, 519, 13193, 326, 615, 2609, 269, 1403, 789, 941, 782, 9543, 1287, 1352, 1131, 2285, 540, 1200, 1655, 1848, 630, 12901, 3415, 1325, 11825, 267, 9041, 763, 667, 20462, 514, 318, 267, 6032, 269, 476, 25248, 268, 26631, 8094, 763, 1126, 519, 18107, 514, 23163, 729, 513, 24369, 4458, 6040, 8004, 3957, 808, 650, 22823, 269, 2311, 27552, 808, 650, 5206, 519, 1739, 2272, 540, 1200, 1995, 609, 14956, 334, 912, 14881, 1589, 1946, 519, 18107, 514, 2968, 865, 7874, 609, 803, 729, 1317, 594, 729, 2141, 9543, 609, 1200, 543, 2760, 32357, 693, 1200, 607, 865, 1082, 536, 1430, 338, 1705, 269, 3143, 2339, 875, 1082, 4682, 538, 519, 1216, 4730, 609, 1200, 267, 607, 4166, 607, 594, 4682, 538, 585, 513, 7669, 1352, 1131, 4734, 782, 519, 1866, 543, 979, 1055, 2427, 8386, 20933, 609, 803, 269, 594, 3314, 593, 835, 8317, 594, 4682, 585, 513, 7669, 1454, 2417, 909, 519, 11824, 982, 1141, 1352, 729, 4730, 267, 543, 594, 729, 1152, 538, 519, 1216, 513, 2110, 1247, 950, 1352, 27342, 5523, 909, 1175, 538, 4395, 540, 1250, 3068, 543, 5795, 803, 971, 513, 19225, 269, 2201, 1896, 824, 14026, 950, 594, 729, 7555, 538, 519, 1216, 609, 1250, 7953, 6306, 1352, 1131, 979, 1063, 873, 543, 4584, 803, 909, 543, 4163, 803, 513, 2110, 3845, 1354, 21177, 803, 1586, 269, 2311, 1101, 1352, 4769, 1406, 899, 519, 1745, 540, 1250, 3946, 543, 1131, 546, 691, 2476, 267, 855, 1310, 513, 1247, 950, 1352, 7691, 594, 1131, 711, 2800, 1200, 1352, 1131, 2097, 909, 547, 803, 547, 581, 6299, 5523, 543, 1273, 1540, 269, 2701, 1131, 3833, 1419, 1577, 803, 2322, 2370, 1453, 593, 1200, 1394, 585, 513, 4090, 610, 1079, 1848, 630, 1103, 4165, 3415, 1325, 11825, 267, 9041, 763, 667, 20462, 514, 318, 267, 533, 269, 476, 26631, 8094, 302, 17763, 779, 3903, 540, 519, 9543, 808, 650, 22823, 585, 519, 26055, 799, 1352, 5795, 713, 24369, 4458, 6040, 267, 5267, 711, 1152, 513, 6213, 7130, 540, 519, 7907, 540, 1480, 7919, 267, 855, 849, 602, 519, 5359, 540, 2147, 13685, 799, 723, 2097, 1524, 547, 721, 689, 25196, 941, 1759, 593, 13974, 4767, 2621, 269, 634, 835, 3693, 538, 891, 2984, 799, 8604, 1034, 2352, 547, 3398, 267, 543, 799, 568, 865, 1419, 6719, 538, 3504, 1148, 267, 519, 7911, 14964, 593, 519, 1394, 540, 513, 18107, 514, 267, 568, 1631, 6569, 689, 519, 7706, 540, 16681, 543, 5116, 4009, 569, 538, 519, 7706, 540, 1249, 269, 898, 814, 1044, 30599, 4011, 730, 543, 13455, 563, 16031, 269, 4165, 3415, 1325, 11825, 538, 1010, 1433, 593, 519, 18107, 514, 267, 543, 2523, 602, 851, 13991, 547, 519, 2363, 1168, 5893, 6589, 540, 14956, 334, 779, 2623, 267, 4422, 2484, 4724, 9591, 519, 1249, 540, 519, 18107, 514, 779, 7415, 4390, 585, 29037, 609, 1480, 7919, 269, 1809, 585, 1346, 11495, 5013, 594, 1590, 4363, 596, 547, 6004, 269, 1325, 704, 779, 23406, 1433, 563, 763, 18107, 514, 779, 9058, 1719, 538, 543, 267, 1018, 649, 786, 594, 993, 2386, 711, 581, 2484, 4636, 538, 16208, 607, 267, 6161, 585, 1480, 7919, 267, 568, 13497, 5143, 676, 6723, 24510, 8457, 538, 1010, 1867, 9041, 288, 3305, 523, 18830, 519, 7256, 318, 269, 901, 1867, 267, 2854, 593, 6668, 693, 4262, 1282, 519, 5822, 2622, 2782, 267, 5638, 519, 1995, 540, 3670, 1977, 2011, 5443, 267, 8929, 1524, 936, 519, 7414, 267, 945, 1336, 2933, 538, 513, 5722, 17907, 986, 1111, 1373, 14593, 676, 513, 11188, 17763, 1047, 4724, 2244, 269, 10251, 519, 2244, 729, 606, 6532, 4371, 676, 519, 5545, 269, 634, 7874, 11188, 17763, 1047, 1590, 723, 1044, 14281, 543, 10413, 950, 646, 1336, 5128, 1373, 4744, 340, 12184, 689, 1010, 11319, 676, 1373, 29041, 1055, 609, 519, 522, 1513, 540, 519, 2011, 5443, 563, 7804, 269, 24510, 8457, 849, 5359, 602, 968, 7197, 24319, 7074, 602, 950, 11188, 17763, 2478, 7902, 16142, 20374, 267, 543, 789, 4749, 3277, 547, 519, 2048, 342, 4372, 685, 5920, 540, 11188, 17763, 2478, 267, 4171, 2754, 789, 9053, 547, 602, 540, 16142, 1848, 901, 25495, 782, 4505, 5359, 602, 16142, 616, 1100, 6474, 585, 519, 18107, 514, 2186, 563, 291, 20462, 1231, 723, 1044, 1634, 547, 7903, 513, 20974, 816, 3833, 8900, 540, 1480, 7919, 585, 9645, 9883, 693, 4262, 269, 25334, 4601, 621, 568, 8806, 519, 11319, 602, 4690, 873, 267, 543, 711, 519, 9494, 540, 1022, 1480, 7919, 602, 1522, 581, 29691, 540, 873, 563, 3674, 972, 1022, 2963, 602, 23522, 4688, 546, 20621, 7669, 11302, 286, 1703, 568, 563, 1103, 476, 3707, 276, 519, 7385, 540, 513, 1134, 8153, 4693, 18607, 23493, 538, 8419, 729, 10710, 689, 546, 20621, 676, 513, 18107, 514, 269, 901, 4807, 1185, 22283, 883, 513, 4262, 609, 513, 2178, 9333, 578, 543, 729, 5612, 1951, 13949, 896, 269, 3807, 1354, 9561, 9637, 267, 1352, 1121, 20047, 15691, 602, 2576, 1131, 7903, 1200, 11849, 648, 269, 968, 4415, 602, 267, 2576, 5795, 803, 513, 16854, 695, 913, 267, 543, 594, 15354, 593, 519, 11824, 267, 3068, 1524, 267, 1932, 25356, 547, 2490, 936, 3267, 950, 594, 1705, 267, 1100, 835, 729, 2282, 267, 855, 538, 519, 1216, 3592, 29933, 3952, 856, 513, 11188, 17763, 1047, 729, 682, 12686, 1472, 267, 543, 513, 1906, 3952, 3564, 1864, 1776, 1804, 3165, 729, 849, 682, 12686, 3034, 1103, 713, 2013, 519, 11188, 17763, 1047, 729, 3592, 6157, 513, 18107, 514, 543, 519, 1804, 3165, 513, 3165, 18571, 16356, 269, 589, 812, 945, 1185, 4767, 519, 2621, 689, 519, 824, 2427, 540, 513, 20545, 5143, 519, 11324, 4240, 4807, 602, 713, 729, 519, 2034, 942, 646, 1185, 2938, 513, 546, 20621, 1268, 10710, 676, 513, 968, 1602, 17763, 1047, 3034, 5415, 5063, 267, 593, 519, 3781, 540, 5988, 476, 3066, 267, 476, 3422, 271, 267, 11427, 269, 962, 341, 517, 928, 631, 269, 2349, 1170, 540, 26573, 8593, 689, 513, 10935, 1055, 519, 7532, 5032, 540, 9835, 15840, 4821, 6816, 538, 519, 4639, 28851, 269, 968, 5475, 13735, 267, 10977, 267, 17766, 811, 7802, 585, 1018, 8604, 606, 552, 1181, 640, 267, 594, 4718, 513, 1106, 538, 519, 1216, 547, 519, 2451, 540, 803, 2807, 898, 20109, 519, 2427, 540, 1250, 12048, 543, 267, 3206, 621, 1590, 581, 513, 16356, 267, 594, 6410, 936, 547, 519, 1318, 547, 2119, 547, 1205, 2476, 689, 621, 2807, 901, 1689, 538, 1250, 2990, 729, 547, 1250, 5413, 607, 1934, 1729, 1150, 594, 729, 11369, 532, 513, 3444, 20352, 543, 519, 6329, 1131, 11547, 936, 1250, 2212, 543, 594, 1131, 15179, 513, 1390, 4308, 540, 1216, 269, 901, 4262, 3662, 799, 594, 6785, 676, 713, 942, 1590, 581, 513, 11188, 17763, 1047, 1185, 11461, 803, 865, 602, 594, 729, 1373, 5645, 609, 519, 20352, 563, 2108, 5475, 1776, 552, 1181, 640, 543, 1373, 9684, 995, 602, 1250, 3659, 729, 5329, 2476, 519, 16142, 543, 3046, 2350, 19085, 585, 799, 891, 7297, 616, 4583, 267, 519, 11188, 17763, 1047, 6410, 1394, 540, 803, 543, 3357, 1472, 547, 1250, 1318, 2427, 269, 594, 6410, 936, 547, 2285, 4055, 547, 1250, 13959, 543, 2663, 6785, 602, 1185, 711, 519, 11188, 17763, 1047, 2944, 713, 267, 594, 1131, 723, 1044, 2469, 19654, 547, 4514, 543, 5488, 3001, 7297, 269, 634, 11188, 17763, 1047, 1185, 11461, 803, 547, 519, 3296, 1141, 519, 1216, 729, 519, 1034, 13719, 563, 2108, 14112, 569, 594, 20109, 1018, 5433, 899, 3165, 2121, 1154, 547, 1250, 3952, 269, 898, 729, 32420, 543, 896, 602, 519, 32219, 543, 1034, 10950, 5377, 563, 2108, 2026, 594, 5828, 4724, 13272, 267, 588, 22824, 267, 9561, 3666, 267, 543, 6031, 513, 11755, 540, 7064, 267, 1250, 11324, 21838, 3576, 1055, 899, 513, 1792, 752, 593, 1524, 519, 8756, 3034, 763, 5467, 1590, 581, 2451, 547, 1118, 1018, 646, 666, 540, 971, 20825, 269, 3220, 269, 6723, 717, 269, 6153, 7773, 540, 519, 1977, 7467, 540, 7849, 3778, 22027, 519, 9837, 540, 23522, 547, 4688, 546, 20621, 7606, 269, 968, 12179, 2251, 13735, 2223, 646, 11339, 267, 968, 517, 610, 2282, 519, 2627, 540, 519, 4262, 786, 4482, 1010, 3007, 269, 3571, 1101, 2962, 593, 16042, 519, 1843, 540, 1010, 7279, 568, 547, 5066, 896, 621, 269, 769, 3257, 865, 267, 1945, 14356, 24760, 267, 899, 519, 1560, 540, 513, 546, 20621, 1268, 267, 568, 562, 644, 3022, 547, 519, 2627, 540, 519, 1216, 269, 634, 4262, 1281, 922, 851, 543, 8850, 11479, 13735, 3615, 4724, 519, 11824, 1848, 901, 949, 1134, 581, 865, 538, 930, 2665, 267, 855, 621, 568, 606, 7778, 799, 1281, 711, 3514, 519, 13685, 4330, 676, 11427, 269, 2349, 1170, 267, 538, 799, 1352, 729, 711, 14593, 855, 11461, 269, 12769, 600, 779, 986, 345, 528, 1058, 711, 581, 1932, 31555, 569, 4294, 563, 763, 24625, 520, 4369, 540, 23522, 609, 29940, 538, 1585, 2694, 540, 519, 1158, 814, 8854, 593, 585, 1896, 8536, 1296, 1510, 922, 4644, 2348, 10805, 1454, 2390, 519, 9637, 540, 519, 1964, 540, 519, 1158, 31251, 519, 4121, 543, 519, 3621, 563, 1103, 519, 11335, 689, 519, 9998, 2395, 267, 607, 6592, 676, 589, 27318, 538, 1010, 9041, 4002, 519, 18567, 540, 12292, 318, 267, 17886, 267, 476, 1428, 267, 547, 519, 1459, 1554, 267, 23290, 2775, 10068, 609, 519, 5351, 540, 23522, 814, 1044, 513, 2757, 1259, 540, 10068, 269, 901, 814, 1044, 4330, 676, 22956, 24347, 565, 1938, 538, 1010, 1433, 9041, 17442, 623, 17845, 3832, 679, 6182, 11726, 576, 318, 267, 945, 6645, 875, 29940, 540, 519, 590, 1602, 3547, 6952, 741, 6095, 8127, 968, 514, 519, 4158, 652, 17334, 540, 519, 3923, 540, 5239, 892, 676, 2409, 1360, 2147, 547, 1346, 4330, 676, 589, 27318, 269, 16684, 569, 267, 519, 3165, 13631, 676, 519, 29940, 779, 1166, 4100, 2253, 547, 2445, 267, 1141, 1575, 517, 519, 23522, 2408, 543, 5397, 873, 883, 519, 29940, 779, 24437, 563, 13436, 2409, 540, 10068, 941, 13736, 538, 519, 4165, 760, 3941, 267, 1055, 519, 1715, 10215, 543, 24368, 5032, 338, 269, 634, 705, 10594, 1149, 540, 2859, 2023, 7345, 267, 24368, 267, 1031, 547, 6952, 15273, 2280, 609, 519, 5351, 540, 23522, 267, 693, 513, 1747, 14013, 2614, 1572, 2549, 640, 8672, 269, 634, 705, 10594, 1149, 6444, 1367, 23522, 543, 1572, 873, 676, 2012, 269, 2060, 741, 24437, 4712, 593, 519, 11824, 519, 705, 10594, 1149, 31372, 585, 513, 15524, 531, 540, 3165, 547, 2408, 267, 1141, 1575, 517, 789, 1131, 2196, 1524, 543, 1118, 513, 15116, 10943, 4770, 538, 519, 1216, 609, 741, 884, 1513, 267, 543, 519, 23522, 593, 519, 3544, 540, 519, 15524, 531, 1131, 5397, 519, 3165, 2509, 519, 24437, 585, 519, 705, 10594, 1149, 547, 6952, 269, 12876, 3128, 1889, 267, 945, 4330, 891, 2621, 538, 476, 6977, 277, 267, 11339, 267, 968, 2690, 1250, 851, 594, 3112, 8969, 602, 519, 1620, 568, 1483, 267, 543, 602, 519, 25165, 917, 891, 11188, 17763, 2478, 1496, 716, 1302, 519, 18107, 514, 9041, 307, 2720, 328, 3591, 22331, 16492, 318, 3910, 543, 602, 9490, 11188, 17763, 2478, 1131, 711, 1397, 865, 2370, 4250, 540, 519, 25165, 269, 634, 9510, 2367, 540, 519, 14316, 2161, 602, 519, 1482, 2186, 540, 10068, 814, 2141, 1044, 5645, 593, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 948, 2327, 602, 707, 4816, 568, 8391, 519, 2556, 1416, 543, 2126, 267, 543, 6895, 741, 3356, 563, 268, 6875, 1416, 540, 3054, 281, 595, 2130, 585, 513, 4816, 609, 17350, 666, 581, 9688, 532, 543, 17173, 269, 898, 568, 1271, 547, 4225, 707, 1378, 2168, 543, 3929, 1134, 5630, 267, 1519, 3478, 2614, 1964, 267, 4189, 513, 7059, 2732, 267, 543, 8026, 1582, 13282, 563, 268, 4045, 609, 3782, 7426, 281, 8490, 513, 3972, 532, 2078, 609, 707, 12963, 1014, 543, 824, 3782, 7426, 666, 948, 596, 1745, 811, 6899, 7234, 4145, 267, 6998, 2055, 267, 543, 5275, 5583, 563, 3528, 7598, 891, 12003, 2994, 543, 26724, 707, 4816, 779, 1072, 267, 596, 666, 948, 6330, 713, 4101, 1995, 543, 2327, 519, 1655, 2009, 4093, 585, 707, 2370, 835, 563, 2691, 547, 13693, 513, 16195, 12333, 454, 2252, 596, 14353, 602, 707, 4816, 949, 581, 606, 2438, 610, 5469, 1022, 7282, 2589, 267, 621, 779, 1271, 547, 5077, 513, 3782, 3318, 269, 1323, 8598, 538, 12256, 666, 723, 1713, 6286, 585, 741, 1072, 543, 1646, 267, 865, 2038, 7020, 543, 2126, 616, 1898, 269, 5213, 1406, 19292, 547, 3343, 2564, 3007, 952, 596, 5469, 2589, 971, 607, 12779, 2960, 267, 29338, 267, 4057, 14031, 267, 4028, 26470, 267, 543, 7928, 5563, 563, 7312, 3782, 8502, 949, 1685, 513, 1973, 1449, 547, 2268, 707, 4816, 779, 24562, 2157, 543, 3313, 519, 5817, 2014, 540, 519, 17350, 269, 1358, 666, 1287, 3391, 596, 998, 519, 3617, 2126, 3681, 547, 2232, 519, 2783, 543, 2061, 2417, 8374, 269, 8617, 2638, 13522, 609, 513, 12963, 1014, 666, 849, 948, 6895, 707, 4816, 779, 4401, 2157, 543, 2327, 741, 2949, 1072, 543, 1134, 5630, 563, 19522, 585, 16473, 532, 1323, 8598, 538, 8892, 21250, 17473, 454, 16352, 513, 4816, 609, 17350, 666, 581, 513, 20468, 1995, 585, 1022, 2385, 269, 1717, 267, 972, 616, 3268, 596, 666, 1491, 547, 948, 2061, 17350, 538, 2104, 26691, 912, 268, 16202, 513, 1134, 28394, 2331, 2732, 602, 2882, 3536, 3638, 538, 4401, 267, 971, 607, 2699, 5779, 267, 16738, 267, 3165, 267, 10365, 267, 543, 21364, 3039, 5388, 563, 268, 6875, 27514, 9360, 607, 5227, 676, 707, 3782, 8502, 267, 799, 949, 1331, 4401, 267, 31447, 3679, 267, 543, 824, 1898, 8324, 543, 6886, 563, 268, 29934, 2834, 27514, 2638, 13522, 547, 6895, 707, 4401, 2157, 543, 2697, 1022, 1761, 2042, 2038, 593, 563, 3528, 1818, 891, 2241, 2242, 267, 596, 666, 948, 2327, 513, 2635, 6379, 543, 2569, 707, 4816, 779, 1981, 540, 17350, 269, 13185, 547, 707, 3782, 8502, 585, 811, 1344, 543, 10531, 7840, 563, 2304, 8598, 538, 12256, 568, 513, 2783, 602, 666, 723, 513, 1713, 1764, 593, 741, 2949, 1072, 543, 1646, 269, 1635, 1620, 519, 3123, 543, 9301, 519, 2589, 267, 596, 666, 3343, 5401, 2564, 3007, 543, 2327, 2038, 5868, 543, 2500, 2126, 269, 898, 568, 1898, 547, 1491, 15324, 3800, 267, 971, 607, 3246, 513, 1134, 28394, 2331, 2732, 543, 11504, 2834, 2638, 13522, 609, 513, 12963, 1014, 267, 547, 16102, 707, 2370, 835, 779, 1072, 269, 5457, 547, 5077, 513, 3782, 3318, 952, 596, 14353, 707, 4816, 949, 581, 606, 2438, 610, 5469, 1022, 7282, 2589, 267, 543, 1246, 519, 5227, 2126, 1544, 5702, 563, 2026, 513, 2385, 267, 12003, 609, 10867, 17350, 666, 581, 4101, 269, 16418, 532, 1489, 689, 3782, 4648, 543, 11836, 2385, 1489, 2516, 666, 1683, 17170, 3929, 543, 4052, 6351, 269, 1403, 596, 1185, 513, 4816, 609, 17350, 267, 2921, 3268, 547, 2061, 17350, 538, 2104, 26691, 568, 2629, 269, 1635, 4509, 513, 2635, 2732, 267, 2921, 27514, 9360, 607, 5227, 676, 707, 3782, 8502, 267, 543, 11504, 2834, 27514, 2638, 13522, 267, 596, 666, 948, 2327, 513, 2635, 6379, 543, 6765, 563, 288, 281, 9040, 625, 666, 1831, 606, 2438, 1813, 547, 1585, 4128, 267, 971, 607, 4401, 10638, 267, 4719, 4713, 267, 5563, 267, 5312, 3676, 267, 610, 9422, 19518, 563, 288, 281, 1323, 8598, 538, 12256, 568, 513, 2783, 6353, 676, 513, 1970, 1377, 540, 2699, 1973, 2281, 610, 24562, 267, 799, 666, 1291, 547, 2589, 899, 12779, 2960, 267, 9854, 267, 543, 7411, 7244, 563, 288, 281, 5871, 2589, 540, 10867, 17350, 1331, 12779, 2960, 267, 29338, 267, 4057, 14031, 267, 16607, 2208, 267, 4028, 26470, 267, 543, 7928, 5563, 563, 288, 281, 1323, 8598, 538, 9002, 666, 581, 15286, 676, 4180, 513, 7059, 2732, 602, 2882, 4401, 11656, 3536, 267, 971, 607, 5779, 267, 3165, 267, 25167, 24799, 267, 543, 3039, 21364, 5388, 269, 8617, 2638, 13522, 609, 513, 12963, 1014, 616, 849, 1271, 563, 288, 281, 17926, 17350, 568, 8995, 998, 513, 1973, 1449, 547, 2268, 519, 4816, 779, 24562, 2157, 269, 16952, 4255, 949, 581, 5342, 547, 3313, 519, 5817, 2014, 540, 519, 17350, 563, 288, 281, 634, 2126, 585, 4816, 17350, 5673, 593, 519, 5817, 2014, 269, 11635, 9360, 949, 581, 11311, 585, 4401, 10638, 17350, 267, 1247, 824, 2010, 540, 17350, 949, 2154, 5466, 519, 1808, 2783, 610, 2014, 563, 288, 281, 11635, 10638, 538, 29507, 666, 581, 15286, 676, 4180, 789, 4309, 7850, 4401, 998, 20418, 610, 4401, 1922, 677, 1881, 4542, 563, 288, 281, 20050, 540, 1970, 1973, 1293, 538, 12256, 267, 610, 17350, 267, 1331, 12779, 610, 5835, 880, 2960, 267, 4057, 2597, 2744, 267, 9854, 267, 4028, 7244, 267, 543, 513, 4617, 4761, 1062, 563, 288, 281, 1323, 2438, 12256, 1058, 723, 513, 1134, 28394, 2331, 2732, 602, 2882, 4401, 11656, 3536, 899, 6986, 539, 16469, 267, 25167, 24799, 267, 543, 4158, 3039, 21364, 5388, 269, 31173, 609, 513, 12963, 1014, 610, 10805, 2732, 23790, 568, 5227, 585, 10531, 7840, 563, 288, 281, 772, 660, 8972, 610, 4049, 10867, 17350, 666, 1291, 547, 8374, 971, 607, 11095, 17799, 267, 5042, 15717, 267, 543, 2799, 18687, 547, 5563, 563, 288, 281, 23213, 16567, 2488, 1898, 5567, 585, 9002, 267, 1519, 4401, 269, 1717, 267, 930, 9002, 949, 1869, 1020, 17350, 5103, 20418, 267, 543, 538, 971, 2665, 267, 519, 3782, 8502, 949, 4363, 4401, 9360, 610, 4401, 1922, 677, 1881, 3536, 563, 288, 281, 10515, 532, 609, 10867, 17350, 666, 581, 4101, 267, 855, 5275, 1489, 689, 3782, 4648, 267, 11836, 2385, 1489, 2516, 267, 543, 1739, 519, 5227, 2126, 1544, 666, 948, 3237, 6330, 713, 3460, 563, 288, 281, 14268, 1058, 5077, 513, 3782, 3318, 952, 789, 14353, 741, 4816, 949, 581, 606, 2438, 610, 5469, 1022, 7282, 2589, 269, 634, 3782, 3318, 786, 581, 2111, 547, 1683, 606, 4977, 5868, 543, 3391, 873, 998, 519, 3617, 2126, 3681, 563, 288, 281, 1677, 2061, 17350, 538, 2104, 26691, 267, 4509, 513, 2635, 2732, 267, 2921, 27514, 9360, 607, 5227, 676, 519, 3782, 8502, 267, 543, 11504, 2834, 27514, 2638, 13522, 547, 6895, 4401, 2157, 616, 1271, 269, 0, 2467, 616, 513, 3099, 540, 2645, 543, 6208, 602, 666, 581, 7550, 593, 513, 3232, 4493, 547, 2569, 519, 1764, 540, 2029, 946, 543, 960, 5829, 2238, 269, 3371, 616, 938, 2319, 781, 12797, 2572, 950, 621, 2501, 547, 10357, 268, 13905, 563, 18814, 547, 519, 1699, 2796, 267, 649, 616, 1851, 519, 5354, 540, 14540, 602, 12797, 7658, 11529, 269, 4014, 713, 1259, 540, 2324, 568, 2318, 585, 519, 1604, 267, 2523, 1317, 540, 519, 5786, 540, 23435, 294, 5434, 5532, 547, 3560, 267, 7658, 11529, 814, 2942, 5222, 593, 519, 1604, 269, 11153, 2090, 723, 1044, 5342, 593, 519, 1764, 540, 2029, 267, 519, 5769, 543, 7658, 1740, 538, 2489, 563, 3080, 3364, 19674, 689, 2542, 891, 4930, 281, 519, 4950, 1131, 581, 519, 18749, 1034, 3542, 5024, 2197, 267, 952, 621, 941, 835, 563, 1607, 3932, 3366, 721, 547, 2992, 593, 2081, 547, 2569, 938, 8733, 11640, 538, 519, 9036, 267, 1256, 950, 7658, 11529, 269, 634, 2825, 5912, 3322, 6848, 2242, 602, 1491, 942, 547, 2936, 563, 6546, 781, 1946, 649, 4312, 4857, 476, 276, 10357, 268, 13905, 585, 960, 602, 3895, 2110, 3856, 1689, 267, 602, 1450, 721, 782, 547, 1118, 513, 3017, 563, 307, 8962, 1996, 5533, 689, 3059, 946, 454, 1607, 1101, 7121, 2882, 1079, 2645, 602, 2569, 3059, 5533, 269, 634, 1134, 8153, 661, 6523, 807, 3406, 2599, 267, 799, 666, 581, 3773, 607, 606, 10137, 547, 519, 11422, 540, 707, 3903, 267, 568, 835, 540, 873, 269, 898, 568, 513, 3406, 2599, 602, 2488, 519, 1482, 2533, 543, 568, 607, 3608, 607, 5616, 610, 32288, 2135, 267, 1018, 5036, 713, 3406, 2599, 6306, 568, 922, 8733, 1935, 269, 634, 2754, 661, 6523, 807, 1902, 338, 3592, 476, 3199, 260, 540, 519, 2724, 6659, 689, 922, 2238, 538, 3529, 9544, 269, 4595, 519, 4098, 540, 922, 2238, 267, 713, 13539, 814, 12630, 811, 982, 476, 1911, 2929, 4054, 1472, 519, 1158, 563, 302, 25871, 11274, 568, 1776, 3059, 1907, 602, 814, 513, 2318, 1764, 593, 519, 1604, 269, 901, 10137, 666, 581, 1031, 609, 1896, 1114, 26292, 267, 543, 666, 849, 581, 1031, 609, 661, 6523, 807, 585, 519, 1034, 13476, 7874, 3059, 19855, 269, 901, 10137, 568, 3730, 585, 1346, 945, 7500, 609, 2789, 29601, 1930, 693, 782, 2053, 269, 14956, 550, 11274, 1395, 564, 3278, 519, 18537, 602, 616, 1459, 538, 519, 29601, 543, 3096, 519, 2724, 547, 2030, 4054, 538, 5698, 609, 519, 14175, 10809, 11565, 563, 763, 2034, 10357, 3766, 652, 675, 547, 9772, 267, 799, 538, 1840, 547, 1373, 2241, 814, 513, 1713, 2825, 1764, 267, 568, 519, 2359, 540, 1239, 4859, 269, 661, 2173, 5661, 689, 513, 1906, 3275, 610, 1256, 1296, 3516, 267, 544, 9430, 8638, 602, 616, 1100, 3476, 31570, 267, 6337, 602, 616, 10710, 7466, 269, 634, 32280, 540, 2025, 32766, 610, 1256, 2025, 1404, 29812, 568, 849, 851, 540, 713, 269, 1411, 1175, 723, 547, 581, 3222, 540, 519, 5533, 6383, 676, 713, 1239, 543, 1287, 1491, 519, 942, 547, 18419, 621, 607, 596, 979, 2059, 563, 306, 895, 2359, 540, 519, 4616, 540, 922, 14233, 454, 763, 3791, 4356, 649, 723, 4857, 568, 1732, 2359, 540, 5907, 3457, 971, 607, 5904, 267, 23252, 610, 1256, 5985, 11436, 269, 2274, 3058, 3457, 538, 1796, 2421, 7154, 610, 12123, 873, 16074, 616, 13476, 5739, 6208, 602, 2333, 1648, 4616, 269, 8249, 616, 1419, 24906, 950, 3457, 616, 2451, 12123, 585, 1932, 1279, 1510, 1373, 7307, 269, 898, 568, 1732, 547, 2490, 1055, 3457, 950, 711, 538, 946, 543, 3247, 12123, 873, 950, 789, 616, 4628, 9901, 269, 901, 2259, 849, 814, 2804, 2640, 607, 621, 6971, 519, 3790, 2404, 609, 1648, 4616, 563, 31807, 3539, 689, 3039, 14273, 454, 2026, 606, 13539, 267, 649, 21028, 602, 519, 3549, 689, 799, 649, 6718, 2533, 543, 2472, 723, 606, 1764, 593, 519, 1604, 269, 1284, 723, 1500, 513, 7029, 547, 2707, 689, 14273, 945, 616, 8149, 547, 519, 4339, 1996, 2916, 1689, 269, 634, 8350, 335, 1137, 3200, 525, 28022, 3896, 6770, 1927, 513, 21318, 540, 834, 13582, 257, 14273, 945, 616, 19882, 1927, 676, 513, 12773, 1062, 269, 14992, 538, 519, 6694, 543, 1426, 9922, 267, 2146, 3906, 267, 7802, 15945, 543, 15805, 2534, 8041, 616, 2139, 593, 713, 3135, 563, 5978, 3646, 547, 2569, 519, 1764, 540, 938, 9036, 849, 3310, 938, 3028, 5356, 269, 3776, 11925, 616, 2966, 543, 2196, 609, 513, 1880, 1445, 593, 2825, 2152, 269, 2290, 1907, 649, 1419, 946, 568, 519, 1614, 8820, 1870, 2203, 5943, 269, 901, 5943, 2636, 3549, 547, 20272, 519, 1514, 267, 2804, 543, 2825, 1764, 540, 741, 2238, 269, 3776, 1935, 568, 1759, 593, 1279, 3856, 4356, 1689, 543, 2069, 998, 4656, 268, 24597, 563, 2171, 723, 849, 5063, 7550, 513, 7658, 11529, 10357, 268, 13905, 3609, 602, 814, 7722, 782, 5520, 538, 513, 7104, 4674, 547, 2569, 5222, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26662, 1677, 1305, 519, 6429, 267, 649, 786, 1413, 693, 519, 1880, 2013, 540, 8095, 3368, 1533, 10321, 585, 799, 267, 607, 649, 723, 269, 476, 272, 16684, 12576, 593, 8095, 12427, 589, 8095, 11346, 590, 317, 568, 513, 6152, 11346, 10503, 519, 8095, 1924, 325, 513, 9325, 269, 634, 18827, 540, 4911, 983, 28850, 636, 634, 2489, 1505, 269, 1284, 17589, 606, 8763, 5119, 6041, 585, 519, 16803, 1014, 540, 519, 1772, 532, 2203, 538, 20102, 26667, 5007, 6419, 4610, 267, 1210, 607, 4493, 519, 14802, 560, 919, 540, 513, 1062, 540, 1875, 17942, 716, 532, 8095, 476, 272, 270, 273, 5536, 538, 5007, 6419, 4610, 269, 519, 2698, 8095, 535, 4754, 581, 2901, 476, 272, 476, 273, 610, 476, 274, 476, 273, 269, 901, 568, 711, 606, 1858, 594, 993, 606, 4274, 538, 267, 855, 594, 1589, 594, 917, 519, 2626, 269, 595, 1403, 519, 5536, 616, 8095, 268, 272, 476, 273, 535, 1069, 687, 1018, 568, 519, 1648, 543, 630, 27393, 569, 28348, 264, 5951, 1599, 540, 519, 2666, 476, 273, 554, 273, 17538, 286, 645, 3767, 1079, 811, 910, 325, 17313, 616, 3773, 547, 519, 1761, 267, 835, 547, 519, 2451, 543, 835, 547, 519, 1318, 540, 519, 5169, 281, 476, 273, 289, 4855, 5119, 6041, 540, 519, 12427, 700, 317, 2073, 700, 317, 1990, 267, 700, 317, 1341, 267, 700, 317, 267, 700, 317, 1535, 267, 543, 700, 317, 586, 538, 713, 4493, 269, 570, 826, 267, 8734, 476, 1704, 281, 707, 4967, 269, 476, 1015, 268, 272, 17747, 1303, 836, 2211, 476, 1015, 268, 273, 10871, 17779, 23435, 313, 1533, 476, 1015, 268, 274, 17747, 7658, 1636, 566, 269, 634, 6754, 328, 20232, 476, 21327, 476, 5325, 269, 4144, 21192, 1944, 519, 5119, 6041, 540, 552, 336, 269, 654, 793, 518, 7232, 1188, 691, 14497, 543, 922, 3156, 265, 10432, 476, 276, 281, 2311, 1682, 543, 631, 26163, 476, 272, 269, 476, 274, 476, 272, 28841, 3069, 538, 7493, 2070, 267, 19336, 6041, 540, 16070, 11610, 12427, 267, 4937, 1894, 538, 5119, 11707, 267, 476, 274, 476, 272, 4937, 1894, 538, 5119, 11707, 267, 661, 3394, 560, 919, 540, 8095, 476, 272, 22397, 482, 273, 267, 634, 17271, 6419, 4090, 540, 8095, 476, 272, 22397, 482, 273, 5536, 267, 18827, 540, 1079, 30809, 267, 18827, 540, 1975, 514, 476, 272, 22397, 482, 273, 543, 20771, 16070, 11610, 269, 634, 5119, 540, 590, 476, 273, 345, 568, 269, 1775, 329, 347, 476, 273, 1775, 329, 347, 815, 476, 272, 269, 834, 4944, 514, 257, 5232, 540, 5191, 267, 1775, 269, 5565, 8095, 268, 272, 270, 273, 5536, 286, 2913, 779, 11291, 519, 1034, 6654, 1383, 269, 590, 345, 815, 16720, 29755, 20444, 815, 6567, 338, 267, 6629, 338, 266, 272, 267, 6629, 338, 266, 273, 29679, 6629, 273, 29679, 6629, 272, 29679, 630, 277, 269, 476, 275, 661, 3394, 7407, 4834, 538, 519, 5119, 19862, 476, 25838, 476, 1015, 269, 476, 273, 267, 8095, 476, 272, 3092, 2678, 320, 269, 634, 4589, 6961, 602, 519, 6384, 540, 8095, 476, 272, 270, 273, 5536, 538, 19335, 14965, 4610, 666, 581, 4330, 1210, 606, 1935, 267, 799, 13976, 2390, 519, 6101, 1143, 540, 29660, 6953, 1069, 23790, 16803, 2103, 269, 5772, 673, 3487, 2873, 282, 2368, 476, 274, 291, 10819, 9484, 541, 762, 538, 31951, 18509, 7149, 282, 4911, 983, 28850, 636, 282, 10298, 547, 519, 7101, 658, 17817, 585, 19693, 15783, 338, 282, 25756, 282, 8827, 540, 519, 476, 274, 291, 32764, 9046, 538, 1975, 17202, 18509, 7149, 282, 19336, 23830, 540, 7358, 2209, 543, 2276, 282, 589, 5530, 540, 7358, 2209, 543, 661, 3394, 325, 17313, 282, 1975, 514, 476, 272, 270, 273, 543, 824, 476, 273, 3557, 7010, 269, 634, 8095, 268, 272, 31785, 10309, 1185, 606, 590, 294, 3926, 267, 606, 632, 557, 823, 267, 543, 606, 590, 294, 3926, 269, 3973, 524, 737, 1775, 329, 815, 476, 387, 360, 6359, 330, 616, 519, 2497, 21635, 267, 543, 16061, 6359, 815, 6567, 387, 360, 320, 756, 387, 360, 321, 10937, 815, 476, 273, 29857, 6359, 269, 782, 7222, 547, 594, 815, 630, 320, 269, 476, 273, 264, 2060, 713, 1935, 267, 23442, 543, 23377, 4866, 547, 519, 1482, 568, 334, 1673, 19302, 339, 609, 594, 815, 476, 272, 476, 273, 269, 7445, 321, 1122, 532, 4981, 259, 2171, 616, 14921, 513, 6152, 609, 1614, 13366, 676, 519, 5119, 269, 476, 272, 6754, 328, 4223, 4631, 1403, 519, 5119, 2609, 540, 519, 2489, 1770, 776, 5119, 538, 630, 280, 269, 26994, 683, 2497, 269, 561, 332, 815, 561, 10857, 1341, 272, 264, 382, 363, 327, 273, 312, 27476, 630, 2004, 264, 1141, 561, 815, 476, 271, 267, 272, 267, 273, 267, 543, 544, 815, 6567, 331, 267, 6629, 331, 1341, 476, 272, 23463, 331, 269, 634, 1152, 2009, 16070, 11610, 568, 519, 17271, 16070, 269, 31592, 12383, 616, 2016, 585, 519, 9804, 11098, 540, 519, 28973, 689, 476, 271, 269, 634, 16803, 1014, 568, 2016, 676, 670, 284, 6789, 349, 476, 272, 590, 349, 476, 273, 645, 14116, 476, 272, 306, 349, 476, 272, 1341, 575, 476, 273, 306, 349, 476, 273, 264, 645, 349, 1141, 645, 568, 519, 645, 2129, 337, 11275, 517, 267, 575, 476, 272, 543, 575, 476, 273, 616, 519, 575, 1922, 716, 832, 267, 543, 589, 529, 513, 3586, 269, 5565, 9838, 8095, 1107, 272, 270, 273, 5536, 540, 2527, 544, 3001, 538, 835, 10155, 723, 519, 16803, 1014, 269, 1975, 514, 18217, 264, 11724, 725, 8212, 476, 15996, 288, 267, 11354, 476, 1220, 278, 12231, 25493, 16334, 2001, 4821, 267, 4989, 476, 277, 267, 476, 1220, 278, 476, 272, 28070, 6611, 1284, 678, 560, 2015, 11269, 540, 1975, 514, 18217, 1040, 14419, 519, 5119, 11269, 540, 891, 18402, 538, 2474, 540, 8095, 476, 274, 476, 273, 2829, 269, 1975, 514, 476, 272, 270, 273, 1949, 27114, 301, 2177, 13965, 25265, 7473, 9569, 23781, 25972, 769, 713, 3296, 649, 786, 17589, 519, 8095, 2616, 1963, 585, 1079, 14428, 582, 517, 26445, 1303, 22931, 2829, 269, 4985, 269, 634, 4909, 6041, 540, 24639, 630, 273, 264, 568, 585, 682, 696, 976, 609, 8095, 476, 272, 270, 273, 269, 1284, 1631, 8399, 547, 4020, 25107, 7215, 540, 9070, 2209, 1210, 1079, 1114, 25107, 8715, 268, 16104, 4294, 547, 519, 476, 272, 291, 543, 476, 273, 291, 681, 1662, 9346, 1949, 267, 6606, 269, 476, 272, 32150, 1587, 540, 14290, 589, 1880, 3730, 6041, 540, 5119, 21723, 1587, 568, 519, 865, 10777, 918, 337, 821, 14982, 1587, 314, 274, 4940, 2060, 519, 7061, 2780, 269, 634, 8095, 12427, 585, 513, 8095, 268, 521, 9325, 616, 6719, 676, 14290, 630, 6518, 5581, 1114, 11269, 540, 519, 1895, 24639, 263, 273, 26895, 476, 273, 17747, 23317, 17214, 11822, 2792, 267, 7061, 25563, 267, 543, 7061, 7384, 269, 2904, 476, 277, 267, 476, 1001, 274, 19556, 12856, 543, 269, 769, 519, 1875, 3146, 26245, 643, 2065, 3970, 267, 1141, 519, 11610, 540, 519, 9325, 568, 1507, 3379, 547, 544, 267, 621, 568, 1134, 1634, 602, 513, 4144, 2350, 9325, 630, 7474, 568, 267, 835, 609, 8095, 2443, 269, 6271, 7872, 568, 602, 579, 269, 476, 272, 5565, 1627, 889, 1080, 476, 273, 8106, 11353, 609, 2829, 281, 476, 273, 844, 23605, 609, 7061, 2829, 281, 910, 476, 273, 333, 1114, 2829, 630, 1877, 562, 284, 273, 264, 910, 855, 1152, 835, 568, 7691, 693, 1022, 2016, 942, 476, 273, 333, 1950, 14170, 4766, 7061, 1533, 3339, 1436, 2783, 910, 476, 273, 333, 4493, 2829, 630, 333, 284, 273, 264, 910, 666, 581, 7691, 8195, 910, 7061, 6252, 1143, 476, 273, 269, 476, 272, 5565, 268, 543, 8422, 6261, 14835, 2276, 476, 275, 269, 769, 7061, 11707, 267, 8095, 568, 606, 17271, 3959, 540, 782, 10026, 5536, 269, 634, 17747, 20996, 13517, 540, 519, 1975, 514, 267, 6754, 328, 4223, 4631, 476, 275, 269, 31962, 267, 689, 8791, 476, 276, 269, 634, 1007, 8095, 11346, 568, 513, 3586, 540, 519, 5163, 7429, 519, 8095, 11346, 538, 519, 6671, 6041, 269, 29626, 29339, 2173, 520, 3700, 13475, 269, 476, 277, 26994, 3690, 1431, 543, 15190, 18122, 269, 1990, 538, 2474, 540, 8095, 476, 272, 476, 273, 543, 8095, 476, 272, 2829, 538, 19509, 333, 924, 21021, 23664, 6975, 5624, 269, 476, 274, 634, 2990, 6041, 476, 2190, 3040, 16803, 1014, 269, 6396, 594, 281, 2340, 509, 357, 343, 414, 509, 358, 263, 339, 264, 815, 1535, 271, 5430, 22886, 339, 267, 1141, 1535, 271, 815, 20734, 9625, 476, 273, 332, 22886, 269, 769, 519, 8887, 643, 2065, 4144, 2350, 3830, 267, 6475, 8095, 14340, 6923, 543, 814, 575, 815, 476, 273, 269, 795, 271, 282, 271, 328, 815, 476, 272, 533, 476, 273, 795, 266, 345, 282, 1990, 328, 476, 272, 533, 476, 273, 795, 1990, 282, 266, 17844, 815, 476, 272, 533, 476, 273, 795, 266, 17844, 476, 272, 329, 1990, 328, 476, 273, 476, 272, 533, 476, 273, 795, 1990, 328, 476, 272, 329, 266, 17844, 476, 273, 281, 1548, 798, 7705, 543, 7585, 2268, 286, 7170, 281, 1975, 514, 661, 3394, 560, 919, 910, 5623, 8191, 281, 3220, 269, 476, 4029, 4635, 519, 3169, 1482, 4640, 602, 596, 1175, 1031, 585, 8095, 268, 16006, 267, 4020, 519, 5119, 11269, 540, 519, 12427, 590, 1990, 1287, 590, 1535, 543, 590, 586, 585, 519, 2013, 540, 513, 8095, 476, 272, 9325, 269, 476, 272, 7358, 2209, 476, 1704, 2340, 488, 366, 293, 17313, 540, 12427, 476, 736, 2340, 488, 366, 8333, 583, 2209, 476, 736, 476, 273, 269, 1703, 568, 519, 6041, 540, 24639, 630, 273, 264, 676, 519, 8912, 476, 274, 8820, 32186, 630, 1492, 14298, 630, 274, 264, 1895, 264, 9117, 593, 1614, 21021, 10321, 269, 634, 2609, 6027, 616, 476, 24994, 476, 1556, 267, 1234, 263, 24994, 476, 4029, 1070, 543, 1234, 263, 24994, 476, 274, 476, 272, 1040, 795, 271, 282, 271, 328, 815, 476, 272, 533, 476, 273, 795, 266, 1990, 282, 1990, 328, 476, 272, 533, 476, 273, 795, 1990, 282, 266, 1990, 328, 815, 476, 272, 533, 476, 273, 795, 266, 1990, 328, 272, 795, 1990, 328, 273, 533, 476, 273, 269, 476, 275, 264, 589, 10047, 538, 476, 274, 1673, 1483, 6152, 2230, 998, 5086, 16564, 827, 519, 7852, 476, 24994, 333, 815, 630, 333, 269, 634, 715, 1532, 657, 517, 1062, 476, 275, 1535, 274, 269, 634, 1152, 2009, 16070, 11610, 568, 519, 17271, 16070, 269, 476, 273, 17747, 23317, 568, 645, 27741, 634, 1646, 540, 7061, 11707, 529, 513, 1390, 7214, 9740, 267, 855, 693, 519, 1482, 942, 267, 621, 568, 269, 1924, 649, 3112, 723, 1614, 9343, 269, 476, 272, 2433, 21846, 7586, 6421, 585, 1863, 9325, 543, 585, 23191, 14251, 1807, 269, 11682, 22076, 5952, 272, 17747, 23317, 594, 267, 12096, 476, 1220, 280, 670, 6865, 11246, 3036, 298, 6789, 306, 22218, 16774, 476, 1724, 11762, 595, 2642, 281, 1975, 514, 7490, 4063, 602, 519, 6323, 540, 8095, 268, 272, 270, 273, 5536, 269, 630, 321, 264, 11374, 519, 4341, 602, 519, 16070, 11610, 568, 519, 11718, 540, 10047, 267, 649, 1631, 2119, 547, 1265, 519, 6041, 5119, 590, 24994, 815, 630, 306, 24994, 343, 2073, 590, 24994, 344, 2073, 590, 24994, 345, 3738, 540, 3606, 8095, 16070, 11610, 585, 1079, 8095, 476, 272, 270, 273, 5536, 269, 634, 1257, 2882, 2407, 1646, 540, 7061, 3069, 269, 634, 1007, 8095, 11346, 568, 513, 3586, 540, 519, 5163, 7429, 519, 8095, 11346, 538, 519, 6671, 6041, 269, 634, 5536, 616, 538, 519, 1533, 521, 284, 476, 274, 270, 273, 543, 20444, 815, 476, 272, 270, 273, 269, 769, 519, 3044, 1259, 649, 6338, 513, 1305, 540, 4493, 10321, 795, 329, 282, 14741, 267, 1141, 795, 529, 519, 7061, 1297, 540, 519, 2698, 8095, 267, 865, 602, 9745, 297, 273, 815, 795, 27203, 266, 272, 264, 349, 2641, 543, 3765, 519, 7061, 1297, 540, 519, 1990, 16327, 9426, 267, 808, 317, 1990, 329, 329, 282, 14741, 284, 544, 349, 329, 329, 282, 14741, 269, 2334, 630, 1704, 264, 4794, 1965, 519, 8912, 1884, 545, 2174, 16615, 1894, 568, 3551, 547, 6961, 269, 513, 264, 1548, 12427, 267, 16310, 519, 16803, 1014, 267, 616, 21635, 540, 519, 5163, 269, 634, 1098, 2821, 540, 519, 476, 273, 9943, 273, 5119, 568, 922, 11201, 267, 855, 2094, 922, 24572, 568, 6567, 272, 713, 568, 711, 513, 10047, 5119, 282, 621, 568, 513, 8086, 2066, 519, 1899, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12314, 7548, 693, 519, 1482, 9872, 563, 313, 1993, 807, 1284, 580, 331, 779, 19396, 454, 313, 1993, 807, 543, 23052, 6504, 1284, 580, 331, 1558, 693, 519, 2160, 540, 700, 341, 643, 1354, 789, 2968, 3621, 3523, 2209, 269, 1358, 5249, 5702, 538, 519, 700, 341, 643, 4659, 585, 5530, 540, 14977, 874, 639, 543, 22870, 14347, 538, 918, 21531, 6759, 342, 267, 12996, 269, 1358, 941, 9310, 538, 476, 4572, 272, 269, 1284, 580, 331, 729, 1200, 9393, 779, 14191, 12314, 543, 1352, 8329, 7494, 547, 519, 1382, 543, 7041, 540, 519, 27193, 639, 6669, 563, 2171, 580, 331, 729, 849, 519, 2212, 540, 519, 700, 341, 643, 7936, 540, 519, 28247, 625, 540, 519, 5600, 5948, 563, 9515, 5795, 4332, 547, 513, 5067, 3957, 22816, 30004, 1284, 580, 331, 269, 2290, 540, 22816, 30004, 779, 20766, 267, 918, 15009, 2106, 320, 1284, 580, 331, 25575, 6975, 267, 568, 4867, 2324, 607, 513, 18673, 269, 1284, 580, 331, 5030, 609, 1200, 9393, 543, 1126, 538, 519, 512, 2940, 618, 2777, 540, 519, 918, 592, 1731, 22603, 1920, 693, 476, 275, 25538, 850, 23495, 5633, 9335, 538, 700, 341, 643, 563, 2171, 580, 331, 5747, 28069, 538, 476, 3707, 271, 269, 634, 3169, 2014, 543, 4266, 540, 2098, 1993, 807, 1284, 580, 331, 779, 2669, 616, 711, 15597, 1634, 269, 11374, 1200, 2669, 267, 23052, 6504, 1284, 580, 331, 9310, 1010, 13930, 267, 17555, 4173, 345, 580, 269, 1703, 941, 1179, 2827, 602, 23052, 6504, 779, 2078, 609, 1010, 13930, 949, 723, 3366, 547, 2098, 1993, 807, 779, 2669, 563, 26765, 2329, 540, 2098, 1993, 807, 1284, 580, 331, 454, 26796, 2261, 11538, 23052, 6504, 267, 1284, 580, 331, 3459, 547, 23365, 538, 519, 27193, 639, 6669, 1382, 547, 799, 646, 1185, 6131, 1010, 1272, 269, 23052, 6504, 543, 2098, 1993, 807, 1284, 580, 331, 941, 1079, 540, 519, 9998, 968, 331, 823, 268, 29650, 5608, 3425, 945, 2968, 2959, 540, 968, 25988, 892, 630, 328, 4318, 1421, 1973, 264, 585, 27193, 639, 29795, 539, 561, 823, 269, 14146, 532, 561, 823, 1922, 3975, 619, 729, 2629, 547, 3384, 2009, 10074, 1996, 519, 2068, 563, 305, 644, 6504, 1500, 1010, 6669, 676, 3395, 2635, 561, 823, 267, 3468, 532, 873, 609, 27193, 639, 267, 15603, 873, 1332, 811, 543, 6368, 25935, 543, 8860, 519, 561, 823, 779, 4571, 326, 7491, 547, 1118, 513, 13594, 269, 700, 823, 1922, 3975, 619, 899, 2098, 1993, 807, 5129, 606, 1271, 1909, 538, 3395, 519, 561, 823, 1031, 547, 1118, 10074, 269, 1717, 267, 713, 1505, 2322, 519, 561, 823, 1922, 3975, 619, 693, 1981, 540, 3384, 27193, 639, 269, 901, 6669, 729, 849, 2182, 547, 3132, 593, 513, 1804, 4336, 269, 13536, 267, 513, 27193, 639, 6669, 2919, 1210, 4212, 586, 13083, 2968, 811, 2442, 543, 7839, 269, 16480, 267, 23052, 6504, 1284, 580, 331, 779, 27193, 639, 6669, 568, 1869, 20295, 607, 519, 1158, 779, 1101, 2500, 6669, 1996, 27193, 639, 269, 1280, 1010, 960, 267, 23052, 6504, 1284, 580, 331, 729, 9930, 3990, 585, 519, 17587, 15356, 538, 6925, 1063, 476, 4350, 271, 543, 476, 4350, 275, 543, 1586, 538, 476, 4350, 277, 547, 476, 4350, 280, 563, 4002, 5437, 476, 280, 267, 476, 4350, 272, 267, 2098, 1993, 807, 1284, 580, 331, 729, 13752, 519, 26427, 779, 9061, 540, 519, 11352, 540, 2717, 8205, 10163, 527, 25917, 269, 901, 568, 513, 1533, 1931, 538, 12996, 799, 568, 24705, 1042, 547, 14222, 2043, 609, 26656, 7418, 538, 519, 4610, 540, 2069, 267, 2257, 267, 7328, 267, 2528, 267, 1148, 267, 9297, 267, 3084, 8878, 267, 1514, 960, 267, 3540, 3028, 267, 543, 5009, 1434, 1894, 1063, 2477, 563, 9827, 3367, 281, 7325, 1329, 853, 334, 518, 1067, 23045, 2006, 22335, 454, 6962, 281, 634, 5020, 540, 2098, 1993, 807, 1284, 580, 331, 454, 313, 1993, 807, 1284, 580, 331, 5129, 606, 1271, 1909, 538, 3384, 519, 27193, 639, 6669, 269, 1306, 513, 6131, 29489, 267, 1352, 1981, 539, 1200, 1272, 547, 948, 2417, 519, 1382, 593, 7303, 27193, 639, 267, 513, 2068, 602, 3366, 547, 7366, 540, 5215, 540, 7972, 538, 2622, 2782, 476, 273, 269, 1717, 267, 972, 616, 811, 4930, 2854, 827, 23052, 6504, 1284, 580, 331, 543, 18923, 4376, 827, 1010, 7385, 269, 1924, 267, 538, 713, 2085, 267, 621, 568, 1271, 547, 2328, 543, 1224, 827, 2021, 540, 2257, 899, 1284, 580, 331, 1317, 789, 17330, 607, 1454, 6284, 607, 741, 5256, 9164, 543, 3523, 2209, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10409, 10300, 4094, 543, 1312, 476, 3607, 275, 25710, 4854, 1880, 8677, 540, 1313, 5255, 628, 517, 748, 4654, 269, 4595, 519, 1596, 592, 326, 566, 540, 519, 4521, 540, 7087, 23008, 2065, 7126, 538, 476, 1220, 274, 267, 891, 4654, 723, 1185, 4567, 607, 3084, 4654, 267, 609, 568, 2210, 3740, 17258, 609, 5053, 538, 782, 519, 1858, 540, 13487, 20585, 1145, 543, 8658, 538, 799, 543, 865, 616, 9275, 563, 1103, 19605, 547, 519, 1313, 5255, 628, 517, 748, 4654, 267, 1114, 1514, 1895, 19142, 616, 11913, 676, 27540, 5095, 267, 1454, 607, 519, 476, 3199, 267, 1822, 4436, 18702, 631, 3317, 517, 2572, 538, 6792, 454, 300, 1410, 4815, 267, 543, 476, 276, 267, 1822, 519, 932, 760, 559, 334, 13172, 454, 300, 1410, 4815, 1993, 519, 10469, 564, 1014, 1893, 454, 300, 1410, 545, 1478, 4472, 538, 932, 760, 559, 334, 454, 763, 1283, 476, 1015, 4683, 1242, 1858, 540, 13487, 20585, 1145, 538, 6792, 563, 763, 476, 1001, 271, 1293, 676, 519, 2382, 527, 19513, 715, 659, 1308, 632, 6480, 611, 6403, 560, 3821, 586, 2983, 690, 571, 325, 17144, 454, 300, 1410, 4815, 13233, 4659, 540, 10803, 543, 17323, 30049, 1047, 4936, 30871, 454, 300, 1410, 4815, 553, 519, 540, 1104, 4984, 267, 609, 476, 10695, 260, 540, 519, 2551, 267, 4411, 11963, 476, 1015, 260, 476, 1015, 267, 280, 2190, 267, 9818, 581, 547, 1114, 4168, 29559, 267, 12363, 5345, 13370, 25025, 454, 300, 1410, 4815, 263, 272, 269, 277, 260, 5148, 1114, 17557, 610, 1234, 11526, 476, 271, 269, 278, 260, 282, 8614, 327, 990, 1695, 781, 654, 5893, 525, 454, 300, 1410, 4815, 272, 269, 275, 260, 282, 1530, 22770, 6377, 13491, 1235, 454, 300, 1410, 4815, 271, 269, 277, 260, 282, 543, 32410, 540, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 454, 300, 1410, 4815, 263, 271, 269, 274, 22103, 476, 15094, 267, 8660, 272, 610, 547, 513, 14758, 6708, 1804, 476, 271, 269, 273, 260, 540, 519, 3003, 581, 547, 824, 267, 1875, 268, 22146, 10764, 282, 476, 275, 269, 278, 260, 9307, 3880, 548, 1100, 4984, 454, 300, 1410, 4815, 282, 476, 273, 269, 278, 260, 941, 5667, 29347, 1881, 563, 763, 476, 10844, 267, 280, 2190, 267, 4366, 280, 23597, 540, 6792, 2099, 538, 2713, 4567, 519, 2034, 585, 519, 1034, 851, 7826, 11018, 538, 519, 1158, 267, 1310, 8478, 454, 300, 1410, 4815, 781, 269, 476, 5325, 260, 7477, 3599, 2557, 540, 543, 865, 1694, 538, 5132, 960, 12353, 269, 634, 9174, 543, 546, 710, 1554, 540, 3776, 15248, 540, 2871, 611, 2728, 701, 454, 300, 1410, 4815, 267, 519, 6075, 2820, 6541, 540, 6792, 267, 568, 2351, 1221, 593, 5412, 476, 1321, 543, 568, 2015, 676, 3875, 1145, 5165, 15092, 607, 519, 547, 519, 5207, 4110, 5230, 5289, 2361, 1554, 540, 1200, 3218, 2197, 563, 763, 476, 1001, 271, 1293, 1867, 762, 476, 27183, 267, 280, 3953, 32410, 540, 634, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 267, 1498, 519, 5939, 538, 476, 1220, 280, 25077, 547, 723, 936, 835, 2929, 11727, 2818, 269, 6168, 476, 1839, 260, 540, 11727, 32410, 1694, 538, 513, 3126, 606, 2002, 532, 540, 519, 7210, 3028, 4352, 713, 666, 11385, 622, 909, 543, 1524, 563, 763, 1373, 540, 7642, 538, 6792, 454, 300, 1410, 545, 3736, 540, 519, 3923, 1560, 547, 476, 13923, 272, 267, 950, 670, 1716, 17505, 23634, 15530, 1852, 519, 25069, 14369, 267, 13984, 676, 1367, 22062, 657, 454, 300, 1410, 4815, 269, 4340, 547, 519, 476, 1001, 271, 14829, 267, 972, 616, 476, 6858, 267, 5325, 277, 7642, 538, 6792, 269, 26576, 538, 6792, 454, 300, 1410, 4815, 529, 1434, 676, 513, 14462, 13355, 1004, 538, 519, 18513, 4099, 540, 8776, 516, 11252, 454, 300, 1410, 4815, 267, 3213, 24660, 10042, 267, 543, 972, 616, 606, 1305, 476, 4968, 12356, 538, 519, 5842, 595, 2077, 6759, 4472, 632, 15255, 16629, 553, 454, 300, 1410, 545, 648, 325, 4007, 538, 15616, 777, 553, 269, 769, 519, 476, 1001, 271, 1293, 476, 1240, 267, 6977, 5165, 15092, 1867, 762, 804, 4923, 612, 547, 606, 8109, 4984, 454, 300, 1410, 4815, 267, 513, 4852, 12519, 7121, 799, 6451, 513, 536, 656, 600, 14418, 454, 29128, 519, 14206, 2540, 267, 6792, 729, 606, 936, 12741, 5944, 11570, 344, 2197, 267, 609, 11570, 344, 2021, 781, 13649, 906, 13890, 1369, 519, 11407, 540, 519, 2385, 543, 3084, 2146, 269, 2060, 4567, 4098, 538, 519, 31303, 2540, 267, 13197, 519, 5053, 1641, 542, 540, 519, 25069, 322, 10504, 454, 300, 1410, 4815, 267, 1954, 17507, 723, 17382, 22237, 543, 6848, 3255, 711, 6310, 3330, 11570, 344, 14252, 269, 4936, 30871, 538, 6792, 454, 300, 1410, 545, 2129, 553, 4646, 6848, 19773, 1472, 2021, 781, 6848, 1909, 267, 2962, 519, 1599, 540, 544, 652, 21289, 607, 19121, 720, 540, 519, 1920, 267, 609, 519, 7910, 6307, 454, 300, 1410, 4815, 553, 513, 2203, 269, 631, 31791, 334, 454, 300, 1410, 545, 2129, 553, 1044, 606, 4998, 267, 609, 2021, 781, 1909, 607, 1373, 1369, 519, 2385, 2121, 615, 519, 1852, 540, 2367, 269, 769, 519, 14206, 2540, 267, 11204, 544, 652, 21289, 4712, 13402, 1390, 26058, 585, 2784, 16057, 513, 811, 3160, 3656, 543, 1514, 4567, 269, 769, 476, 4198, 274, 544, 652, 21289, 538, 6792, 941, 2016, 519, 8917, 1524, 538, 3084, 12836, 563, 300, 1410, 4618, 544, 652, 21289, 6179, 639, 11132, 529, 3170, 1143, 543, 693, 1459, 2053, 12387, 652, 566, 689, 519, 2577, 1143, 334, 454, 300, 1410, 545, 641, 641, 1637, 269, 4014, 2021, 538, 6792, 616, 1818, 2462, 7760, 789, 616, 1079, 1922, 3166, 609, 519, 959, 531, 520, 25875, 19175, 540, 4527, 519, 5250, 540, 519, 7622, 269, 1763, 792, 7815, 12540, 541, 7534, 4406, 323, 15530, 12021, 602, 1247, 972, 616, 1906, 16526, 8045, 676, 1876, 610, 3609, 538, 6792, 267, 972, 616, 4008, 16526, 10419, 18050, 676, 1514, 2166, 1729, 1105, 3538, 9582, 543, 11204, 2686, 19175, 602, 3970, 519, 7207, 540, 11204, 2021, 563, 2026, 540, 476, 1001, 275, 267, 6792, 814, 519, 476, 1626, 628, 1164, 12680, 2557, 540, 8956, 11318, 3808, 909, 2899, 811, 544, 652, 21289, 538, 519, 3063, 6549, 12519, 683, 321, 3121, 634, 9304, 540, 6469, 5208, 454, 300, 1410, 545, 3019, 576, 811, 544, 652, 21289, 538, 11204, 1319, 3234, 11102, 1480, 2078, 1114, 693, 1063, 476, 1789, 543, 476, 2568, 7477, 3599, 2557, 540, 3347, 269, 634, 2168, 1843, 540, 519, 1085, 1901, 2998, 520, 941, 540, 339, 550, 1307, 4573, 23624, 269, 4340, 547, 513, 476, 1960, 278, 1353, 267, 6469, 6057, 538, 11204, 1250, 322, 523, 2801, 534, 2528, 834, 529, 20583, 538, 4008, 543, 1319, 3234, 11102, 1894, 4434, 538, 11204, 2021, 781, 27303, 1145, 593, 1200, 3218, 705, 728, 676, 585, 7449, 14571, 543, 585, 1582, 12635, 267, 13455, 676, 5427, 1807, 540, 11509, 2648, 267, 676, 1920, 2497, 543, 10821, 12417, 1701, 634, 10419, 21116, 616, 1419, 519, 7911, 23136, 267, 4651, 2987, 25237, 267, 608, 3620, 639, 27512, 610, 8152, 27512, 855, 4805, 476, 272, 269, 277, 260, 540, 519, 12638, 4062, 3366, 547, 606, 10654, 543, 2366, 9760, 563, 300, 1410, 4618, 1250, 322, 523, 2801, 534, 2528, 5815, 519, 12475, 6681, 1145, 540, 519, 2197, 781, 1686, 454, 300, 1410, 545, 1054, 893, 519, 4999, 540, 1313, 5255, 628, 517, 748, 5022, 543, 519, 2528, 540, 8050, 454, 300, 1410, 4815, 267, 786, 8546, 8050, 781, 476, 4968, 4458, 11156, 540, 6792, 269, 1401, 18100, 1514, 4365, 723, 2025, 1268, 6451, 4987, 11204, 1250, 322, 523, 2801, 534, 2528, 607, 2013, 814, 5293, 563, 763, 623, 21807, 597, 1014, 5736, 1714, 623, 21807, 21105, 6737, 454, 300, 1410, 4815, 267, 538, 519, 2250, 10116, 540, 519, 476, 866, 628, 3368, 10601, 543, 519, 1101, 8717, 540, 519, 476, 736, 628, 2540, 267, 729, 14733, 676, 22237, 3356, 543, 4708, 269, 2991, 2185, 7259, 622, 540, 19742, 30331, 10052, 543, 2112, 267, 6792, 4718, 519, 1646, 540, 10952, 3069, 543, 519, 6575, 267, 15469, 676, 5518, 667, 6403, 1794, 5128, 269, 4595, 602, 942, 267, 607, 15155, 1753, 8546, 519, 11204, 7169, 454, 300, 1410, 4815, 267, 1514, 2123, 3961, 814, 1185, 922, 4493, 538, 519, 544, 652, 714, 1690, 324, 267, 540, 799, 519, 1313, 5255, 628, 517, 748, 1775, 4318, 269, 589, 1067, 785, 1014, 6498, 568, 519, 4295, 269, 769, 23290, 2775, 540, 519, 1114, 6803, 885, 602, 536, 659, 650, 6134, 519, 11204, 1004, 267, 21280, 2946, 23849, 935, 4897, 657, 454, 300, 1410, 4815, 514, 1010, 14081, 566, 5487, 681, 18054, 595, 6759, 8243, 3821, 630, 763, 15328, 6193, 17813, 264, 630, 4572, 276, 264, 13890, 6792, 547, 581, 519, 1533, 1689, 1494, 540, 782, 1847, 8754, 8808, 519, 2272, 540, 519, 544, 652, 714, 334, 711, 4805, 31127, 855, 15520, 607, 1134, 563, 300, 1410, 4618, 521, 14234, 3332, 814, 922, 2014, 538, 519, 521, 14234, 521, 14234, 3332, 540, 519, 1313, 5255, 628, 517, 748, 1560, 540, 12379, 334, 15330, 3821, 269, 634, 547, 519, 5207, 4110, 1434, 1134, 8153, 840, 20130, 13732, 5067, 6339, 17621, 568, 3026, 345, 1695, 783, 322, 1195, 582, 331, 454, 300, 1410, 4815, 269, 7073, 11204, 521, 14234, 3332, 729, 17945, 676, 519, 14487, 540, 519, 5053, 7810, 1436, 540, 12379, 334, 15330, 3821, 454, 300, 1410, 4815, 269, 4934, 9227, 17055, 1913, 19431, 543, 5067, 6339, 17621, 6451, 20844, 22859, 714, 632, 1325, 2117, 11252, 454, 300, 1410, 4815, 663, 4236, 3570, 769, 15530, 632, 3288, 30434, 454, 8448, 1913, 19431, 6451, 1325, 325, 517, 810, 1234, 13433, 454, 300, 1410, 4815, 267, 21280, 2946, 808, 10394, 638, 27713, 22513, 5451, 526, 14162, 632, 700, 19123, 328, 454, 300, 1410, 4815, 267, 22695, 659, 1470, 2494, 3241, 16816, 600, 597, 8457, 454, 300, 1410, 4815, 267, 24883, 17540, 550, 525, 454, 300, 1410, 4815, 267, 4239, 822, 1470, 623, 1794, 454, 300, 1410, 4815, 301, 984, 601, 19846, 622, 267, 11412, 6737, 700, 14445, 454, 300, 1410, 4815, 267, 24883, 631, 976, 643, 5451, 529, 454, 300, 1410, 4815, 267, 4432, 6511, 623, 517, 9332, 3298, 6390, 454, 300, 1410, 4815, 267, 631, 4115, 334, 10897, 21731, 454, 300, 1410, 4815, 257, 299, 657, 632, 705, 26953, 257, 543, 20844, 681, 5285, 334, 454, 300, 1410, 4815, 257, 303, 539, 549, 623, 5451, 1090, 334, 2668, 19839, 334, 3004, 1597, 454, 300, 1410, 4815, 5793, 10919, 6510, 834, 4692, 770, 320, 632, 12776, 10224, 1014, 13075, 1770, 30067, 4618, 657, 257, 630, 300, 1410, 4618, 1543, 11127, 1070, 834, 14976, 946, 632, 3288, 23683, 8496, 516, 257, 7066, 5501, 540, 519, 23683, 8496, 516, 563, 8070, 3146, 23728, 776, 1148, 538, 6792, 1185, 922, 11132, 4082, 538, 519, 1253, 20455, 540, 1340, 539, 1286, 591, 1454, 607, 6424, 1325, 325, 16619, 590, 1664, 328, 4592, 454, 300, 1410, 4815, 267, 12658, 518, 4815, 22616, 14243, 12275, 5633, 454, 300, 1410, 4815, 267, 2605, 5866, 918, 1695, 5979, 454, 300, 1410, 4815, 267, 20844, 744, 262, 294, 768, 534, 454, 300, 1410, 4815, 267, 21280, 2946, 595, 2211, 324, 744, 549, 345, 1723, 454, 300, 1410, 4815, 267, 17630, 5211, 320, 454, 300, 1410, 4815, 267, 543, 681, 18860, 3626, 23111, 599, 334, 454, 300, 1410, 4815, 269, 17630, 5211, 320, 267, 519, 547, 519, 5207, 4110, 1134, 8153, 2179, 540, 11204, 544, 1116, 1143, 267, 8737, 519, 2494, 693, 519, 9061, 30030, 454, 300, 1410, 4815, 520, 519, 18842, 651, 325, 11839, 4741, 454, 300, 1410, 4815, 514, 1715, 3840, 4975, 267, 513, 2462, 4605, 602, 729, 1025, 32484, 519, 1985, 1974, 5169, 540, 519, 2333, 540, 513, 1582, 268, 1636, 11681, 540, 6739, 1209, 2065, 26519, 22255, 514, 454, 300, 1410, 4815, 269, 2368, 540, 5211, 320, 781, 5837, 2065, 616, 8858, 693, 519, 11204, 2817, 20066, 454, 300, 1410, 4815, 663, 519, 20066, 540, 20963, 8551, 454, 300, 1410, 4815, 529, 585, 519, 1034, 851, 12021, 585, 922, 1305, 909, 799, 616, 519, 585, 519, 1034, 851, 1454, 2166, 1729, 1105, 3538, 9582, 620, 325, 637, 1723, 540, 9147, 5527, 2529, 20725, 20616, 6189, 454, 300, 1410, 4815, 529, 6825, 676, 519, 1727, 21627, 8864, 1063, 519, 2241, 267, 12718, 2679, 1289, 585, 676, 519, 1007, 2694, 543, 519, 25724, 23732, 2339, 6361, 2275, 6847, 689, 8050, 269, 6792, 267, 607, 519, 4099, 540, 1715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 4699, 476, 276, 269, 6812, 273, 26116, 10759, 0, 258, 8827, 910, 5381, 640, 540, 10222, 9201, 692, 28398, 454, 8802, 3563, 692, 18704, 692, 20486, 10374, 4289, 454, 3519, 1061, 13436, 640, 540, 10222, 9201, 692, 2971, 7726, 692, 292, 543, 674, 616, 2798, 593, 519, 5011, 623, 304, 543, 11553, 6606, 540, 513, 18529, 303, 304, 305, 269, 1280, 519, 1739, 2013, 267, 1533, 2436, 31246, 13466, 30040, 692, 14154, 815, 476, 275, 4699, 267, 1627, 292, 815, 476, 275, 269, 276, 4699, 267, 21668, 815, 476, 279, 4699, 543, 16674, 815, 476, 280, 4699, 692, 2971, 8827, 692, 2791, 991, 547, 547, 2070, 519, 3070, 454, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 2496, 2971, 5381, 2055, 17886, 11246, 20231, 692, 8794, 1230, 2091, 540, 2596, 8167, 1275, 11532, 267, 6961, 602, 519, 1899, 11836, 519, 4571, 15304, 338, 540, 1022, 1079, 5011, 540, 513, 6906, 568, 6252, 547, 519, 3791, 2427, 269, 630, 13434, 718, 602, 596, 723, 2944, 621, 538, 4147, 26577, 6393, 1613, 3070, 692, 1103, 519, 2016, 4137, 267, 1079, 22334, 9474, 543, 7131, 540, 513, 5858, 12969, 1142, 824, 693, 519, 1448, 623, 630, 15290, 3812, 264, 3544, 519, 5858, 269, 28171, 602, 692, 9217, 264, 18529, 303, 3722, 3980, 376, 18529, 11520, 289, 692, 23870, 264, 13698, 10422, 289, 815, 7193, 10422, 291, 692, 1613, 3070, 692, 763, 32377, 540, 513, 29105, 13235, 291, 12969, 1142, 824, 693, 519, 1448, 744, 971, 602, 1109, 10490, 302, 19422, 19447, 264, 815, 630, 4596, 19422, 23077, 264, 1109, 8058, 602, 13235, 291, 568, 513, 25671, 1756, 692, 1613, 3070, 692, 1103, 519, 4137, 2016, 2630, 267, 14105, 25280, 568, 20312, 10725, 540, 19110, 304, 11266, 269, 1403, 623, 304, 815, 476, 276, 269, 277, 4699, 267, 1627, 307, 815, 476, 275, 4699, 543, 13138, 815, 476, 276, 4699, 267, 1265, 519, 1871, 540, 1535, 16317, 1613, 3070, 692, 8794, 9978, 8167, 1275, 11532, 267, 6961, 602, 513, 1899, 6537, 998, 519, 4571, 15304, 338, 540, 835, 2427, 540, 513, 6906, 6252, 547, 1776, 2427, 20312, 31637, 519, 3791, 2427, 269, 630, 13434, 718, 602, 596, 723, 9863, 621, 538, 4147, 26577, 6393, 1613, 3070, 692, 2971, 13129, 7698, 692, 11405, 585, 1523, 281, 5381, 640, 540, 10222, 9201, 269, 1280, 519, 1576, 476, 279, 628, 268, 1015, 628, 23048, 454, 306, 0, 258, 16754, 585, 10699, 545, 962, 1841, 547, 570, 976, 2496, 763, 4542, 585, 12945, 18126, 547, 9748, 568, 602, 538, 1034, 2665, 476, 272, 12945, 13452, 568, 3160, 547, 476, 272, 269, 4097, 9748, 269, 769, 1931, 547, 2347, 519, 3830, 267, 835, 1131, 991, 547, 1491, 519, 2698, 2179, 540, 12945, 18126, 543, 1287, 8399, 547, 9062, 676, 476, 272, 269, 4097, 269, 2755, 713, 568, 519, 6093, 6310, 3830, 267, 621, 1590, 581, 7074, 602, 1114, 6878, 786, 581, 3160, 547, 513, 1114, 2597, 269, 1280, 1383, 267, 1283, 31542, 568, 3160, 547, 272, 269, 271, 9748, 267, 1247, 14680, 568, 3160, 547, 476, 272, 269, 275, 9748, 563, 27270, 912, 304, 26031, 13565, 547, 834, 13528, 3121, 585, 10699, 545, 962, 1841, 547, 570, 976, 24350, 4595, 513, 12945, 13452, 568, 513, 6482, 540, 4320, 543, 513, 9522, 568, 513, 6482, 540, 2597, 267, 621, 1131, 4096, 593, 1018, 6219, 596, 1185, 513, 9522, 540, 269, 1280, 1383, 267, 930, 521, 1343, 723, 513, 5860, 540, 476, 1911, 5291, 2517, 4178, 269, 2532, 2593, 270, 19986, 268, 753, 9955, 270, 27270, 270, 8448, 270, 6011, 2483, 476, 272, 269, 25092, 4320, 676, 834, 2767, 257, 547, 6460, 547, 12945, 3952, 269, 1280, 3236, 267, 952, 596, 723, 476, 1015, 12945, 18126, 540, 6405, 281, 476, 1015, 2608, 476, 2767, 269, 815, 476, 17734, 12945, 3952, 269, 476, 273, 269, 25092, 707, 2626, 676, 5860, 5291, 2517, 4178, 4318, 6011, 2593, 270, 6011, 318, 5038, 278, 10482, 272, 318, 20412, 622, 2275, 889, 545, 3917, 320, 2483, 1411, 666, 1405, 6460, 12945, 18126, 883, 9748, 269, 10699, 545, 18126, 568, 606, 4082, 540, 4320, 543, 9748, 568, 606, 4082, 540, 2527, 269, 1358, 2811, 1079, 1114, 1919, 269, 5291, 2517, 753, 9955, 13885, 1695, 5622, 2593, 270, 23896, 27651, 286, 336, 573, 284, 1911, 2568, 275, 2483, 5673, 593, 519, 1570, 596, 616, 7893, 267, 513, 12945, 13452, 540, 17207, 949, 711, 9260, 513, 9522, 267, 855, 513, 12945, 13452, 540, 1291, 1131, 269, 5291, 2517, 342, 5942, 269, 753, 9955, 2593, 270, 304, 270, 7617, 318, 529, 318, 3467, 19963, 318, 2023, 318, 528, 19963, 2483, 12749, 13565, 590, 792, 2583, 454, 18439, 713, 13445, 454, 2791, 666, 6460, 12945, 18126, 547, 9748, 676, 3257, 513, 2370, 2979, 269, 2290, 12945, 13452, 568, 3160, 547, 476, 271, 269, 2767, 9748, 269, 1403, 596, 723, 476, 1911, 12945, 18126, 267, 621, 1131, 581, 3160, 547, 476, 2767, 9748, 269, 4429, 2467, 616, 476, 271, 269, 2767, 9748, 538, 513, 12945, 13452, 269, 2290, 9522, 1131, 581, 519, 6697, 540, 827, 476, 272, 269, 28664, 280, 1704, 278, 12945, 18126, 269, 4429, 763, 1297, 540, 4009, 18126, 829, 9522, 540, 28372, 9775, 7494, 4470, 593, 519, 11098, 540, 519, 8737, 1587, 269, 589, 12945, 13452, 540, 28372, 22179, 476, 273, 269, 4962, 9748, 6993, 9522, 3267, 0, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 29138, 4152, 692, 272, 267, 29616, 5784, 692, 13775, 593, 692, 276, 700, 10105, 454, 32417, 454, 24687, 454, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 1892, 2142, 519, 1101, 547, 6085, 692, 21366, 454, 13707, 5784, 454, 272, 267, 29616, 454, 4002, 22391, 18704, 454, 271, 454, 5804, 21150, 2644, 454, 271, 454, 10831, 540, 21150, 2644, 454, 4391, 454, 288, 2388, 454, 306, 3873, 637, 454, 271, 454, 10695, 454, 271, 454, 299, 10105, 454, 276, 454, 21615, 2644, 476, 271, 454, 5591, 2377, 2644, 692, 5591, 4967, 585, 13472, 454, 1892, 1119, 1399, 1399, 339, 454, 1892, 12693, 29138, 4152, 692, 272, 269, 476, 272, 269, 670, 24688, 30862, 2464, 3041, 570, 2464, 16249, 16721, 1563, 676, 14339, 518, 4815, 962, 269, 667, 636, 13774, 267, 12789, 269, 1280, 2271, 549, 547, 10803, 454, 273, 269, 476, 273, 269, 20505, 272, 264, 589, 1076, 547, 25666, 8579, 8367, 273, 264, 9181, 519, 1079, 2010, 540, 6959, 538, 8367, 4152, 274, 264, 19372, 513, 3375, 4341, 585, 16561, 610, 7947, 532, 513, 8579, 8367, 693, 513, 9138, 1377, 540, 4644, 275, 264, 31692, 880, 1063, 519, 835, 1606, 2217, 2013, 543, 1079, 1606, 2217, 2013, 4255, 540, 8367, 7282, 1797, 276, 264, 7994, 519, 3617, 1449, 7194, 585, 513, 1880, 1305, 540, 1239, 563, 274, 269, 476, 274, 269, 29062, 7248, 762, 272, 264, 14208, 1107, 715, 1638, 29138, 273, 264, 670, 272, 1107, 20010, 29138, 274, 264, 16061, 1107, 5259, 14594, 29530, 799, 568, 519, 5506, 540, 22867, 513, 7392, 476, 273, 18438, 275, 264, 14668, 1107, 5259, 4484, 24488, 799, 18575, 513, 5506, 540, 22867, 513, 7392, 476, 272, 18438, 543, 568, 1634, 607, 519, 5426, 540, 19043, 276, 264, 1990, 277, 264, 21566, 1107, 5259, 4484, 590, 7950, 799, 1797, 519, 7352, 766, 278, 264, 21566, 343, 910, 519, 3044, 11539, 540, 519, 10386, 3892, 540, 519, 1611, 279, 264, 18725, 910, 5259, 4484, 2048, 14153, 685, 799, 568, 519, 1611, 540, 519, 3339, 2551, 280, 264, 562, 1107, 12726, 2450, 1015, 264, 910, 12726, 1611, 1556, 264, 512, 1107, 512, 3892, 282, 513, 2013, 1141, 519, 2551, 3044, 11539, 568, 7164, 1321, 264, 521, 1107, 3044, 11539, 454, 275, 269, 476, 275, 269, 29138, 13281, 281, 4985, 1892, 7869, 540, 18926, 5606, 2397, 281, 3117, 1235, 540, 2409, 799, 835, 2306, 31921, 610, 2489, 3074, 827, 513, 2551, 269, 7151, 568, 519, 18873, 540, 29138, 269, 1892, 15510, 5288, 269, 15932, 12726, 454, 276, 269, 476, 276, 269, 18926, 29138, 1892, 9502, 281, 589, 8579, 8367, 568, 606, 25195, 610, 28756, 675, 7282, 835, 610, 811, 5095, 269, 1323, 13429, 610, 3948, 267, 799, 949, 610, 949, 711, 581, 3020, 7282, 835, 610, 811, 2551, 269, 1892, 5565, 2010, 540, 18926, 29138, 281, 513, 264, 634, 715, 26097, 670, 24688, 30862, 2464, 3041, 267, 14208, 536, 264, 634, 9338, 9898, 2793, 20937, 670, 24688, 30862, 2464, 3041, 267, 670, 272, 513, 264, 715, 1180, 27399, 29138, 1700, 2667, 1068, 338, 602, 835, 1871, 568, 1114, 689, 1776, 630, 528, 1866, 1040, 4746, 1572, 607, 519, 476, 273, 21758, 29138, 269, 968, 8253, 3160, 547, 892, 610, 9881, 510, 269, 513, 264, 667, 27399, 29138, 1107, 1323, 25195, 602, 835, 2268, 568, 10815, 982, 630, 528, 3152, 982, 264, 1776, 2268, 540, 2147, 2470, 269, 4746, 1572, 519, 476, 272, 21758, 29138, 269, 968, 283, 2108, 610, 968, 285, 7536, 277, 269, 476, 277, 269, 6201, 540, 18926, 29138, 272, 264, 14208, 281, 634, 3328, 5993, 4747, 540, 782, 519, 3885, 538, 519, 4975, 568, 1912, 335, 3607, 267, 1822, 630, 382, 369, 815, 1912, 335, 476, 3607, 267, 1822, 1040, 670, 272, 2433, 634, 3328, 5993, 4747, 540, 782, 519, 3885, 538, 519, 4975, 568, 711, 1912, 335, 3607, 267, 1822, 630, 382, 369, 9881, 510, 1912, 335, 3607, 267, 1822, 1040, 273, 264, 14208, 281, 1703, 568, 1100, 1713, 3017, 1063, 519, 3328, 1272, 540, 6216, 589, 1769, 15620, 543, 602, 540, 6216, 645, 1769, 15620, 630, 382, 369, 288, 815, 18725, 289, 1040, 670, 272, 2433, 1703, 568, 513, 1713, 3017, 1063, 519, 3328, 1272, 540, 6216, 589, 1769, 15620, 543, 602, 540, 6216, 645, 1769, 15620, 630, 382, 369, 288, 9881, 510, 18725, 289, 1040, 274, 264, 14208, 281, 634, 8167, 540, 5450, 549, 2494, 10042, 2852, 1053, 945, 4782, 519, 6492, 540, 623, 2355, 328, 2051, 320, 568, 476, 11054, 270, 8975, 481, 9638, 815, 476, 11054, 270, 8975, 481, 264, 670, 272, 2433, 634, 8167, 540, 5450, 549, 2494, 10042, 2852, 1053, 945, 4782, 519, 6492, 540, 623, 2355, 328, 2051, 320, 568, 1447, 982, 476, 11054, 270, 8975, 481, 9638, 2999, 476, 11054, 270, 8975, 481, 1040, 275, 264, 14208, 281, 634, 8167, 540, 7641, 13588, 945, 4585, 2911, 2982, 689, 476, 280, 281, 876, 547, 476, 1015, 281, 876, 538, 519, 10543, 568, 519, 1482, 593, 13723, 543, 2605, 12156, 630, 335, 272, 815, 533, 273, 264, 670, 272, 2433, 634, 8167, 540, 7641, 13588, 945, 4585, 2911, 2982, 689, 476, 280, 281, 876, 547, 476, 1015, 281, 876, 538, 519, 10543, 568, 3152, 593, 13723, 982, 593, 2605, 12156, 630, 335, 272, 3436, 533, 273, 1916, 278, 269, 476, 278, 269, 5565, 2010, 540, 8210, 5558, 1892, 9050, 7399, 593, 519, 20504, 766, 543, 1234, 20287, 540, 513, 14208, 281, 31664, 540, 5463, 2888, 538, 13281, 29138, 667, 4488, 3041, 12778, 22077, 16898, 14208, 568, 13138, 16604, 14208, 568, 674, 3201, 10345, 8028, 4753, 8976, 14208, 281, 2910, 305, 3918, 6311, 667, 4488, 3041, 12778, 570, 312, 14154, 476, 273, 18317, 305, 3036, 20922, 676, 16061, 570, 312, 14154, 476, 272, 18317, 305, 3036, 11555, 297, 17614, 14208, 281, 2910, 305, 3918, 6311, 667, 4488, 3041, 12778, 20922, 676, 14668, 623, 630, 13911, 476, 272, 18438, 264, 14668, 623, 263, 3725, 915, 532, 14208, 950, 14208, 568, 13138, 16604, 264, 623, 263, 13911, 476, 273, 18438, 264, 16061, 623, 263, 8253, 1234, 915, 532, 14208, 950, 14208, 568, 674, 3201, 10345, 994, 279, 269, 476, 279, 269, 15689, 540, 513, 4530, 540, 513, 29138, 1892, 715, 1638, 29138, 630, 295, 334, 264, 1892, 20010, 29138, 630, 295, 272, 264, 1892, 4530, 6465, 2065, 281, 589, 3732, 18802, 1031, 547, 6430, 2436, 547, 7947, 519, 14275, 8367, 1892, 1234, 20287, 16323, 1892, 6726, 566, 540, 4530, 6465, 2065, 1892, 10390, 281, 31592, 10025, 8813, 538, 519, 1234, 20287, 16323, 610, 711, 454, 280, 269, 476, 280, 269, 5426, 540, 19043, 1892, 1677, 14574, 519, 17438, 540, 22867, 513, 7392, 476, 272, 18438, 267, 14668, 267, 799, 568, 2442, 569, 1634, 607, 519, 5426, 540, 19043, 1892, 1284, 666, 3313, 519, 11879, 18880, 799, 5581, 519, 281, 1107, 16323, 540, 1234, 20287, 630, 528, 11879, 16323, 264, 543, 1107, 16323, 540, 20504, 766, 1892, 634, 11879, 10025, 5713, 607, 519, 4493, 585, 2901, 20504, 532, 610, 1234, 915, 532, 513, 29138, 269, 1892, 1879, 14668, 815, 1547, 4962, 267, 519, 16323, 540, 1234, 20287, 568, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 1711, 2123, 2213, 11444, 585, 10453, 563, 290, 7728, 7838, 312, 2636, 10453, 547, 960, 998, 2055, 593, 513, 16979, 610, 2780, 269, 898, 1287, 3096, 741, 4267, 547, 1459, 606, 1367, 2213, 13374, 267, 1500, 909, 540, 2048, 14048, 8356, 1375, 1115, 685, 547, 9290, 741, 2115, 563, 763, 3760, 267, 799, 814, 1500, 12794, 13704, 12064, 835, 540, 922, 17514, 1222, 3506, 267, 849, 7472, 3638, 1239, 799, 6920, 513, 20194, 779, 9342, 543, 12755, 1354, 2857, 2056, 1985, 3268, 563, 14071, 616, 1360, 6857, 540, 938, 2250, 543, 938, 1686, 855, 649, 616, 513, 1153, 799, 568, 5499, 543, 649, 899, 547, 1413, 585, 2072, 2223, 3081, 15537, 23720, 267, 3493, 14280, 10361, 630, 10907, 27854, 1916, 2108, 28495, 1722, 568, 513, 3760, 799, 568, 5499, 543, 11636, 267, 538, 519, 1259, 621, 3096, 2029, 543, 538, 519, 1259, 621, 2337, 10453, 1491, 5539, 585, 519, 1259, 789, 1451, 563, 2108, 5445, 723, 1454, 811, 540, 606, 1620, 540, 741, 9342, 543, 741, 2127, 585, 1646, 799, 538, 2490, 1797, 950, 789, 723, 7391, 609, 741, 3610, 789, 2461, 1454, 811, 11327, 538, 891, 7391, 1317, 789, 1174, 1018, 789, 991, 547, 960, 593, 547, 2087, 3034, 763, 3760, 2337, 3610, 1174, 513, 20194, 779, 1565, 9043, 799, 1797, 4245, 267, 29013, 543, 1489, 666, 581, 811, 6098, 543, 5059, 563, 29261, 540, 10453, 538, 13722, 3427, 630, 312, 8986, 476, 278, 543, 476, 279, 264, 723, 1256, 1044, 16475, 2048, 28495, 1722, 6105, 685, 281, 789, 1205, 1927, 585, 12129, 1247, 519, 1453, 960, 29050, 998, 741, 11444, 563, 6635, 2151, 3081, 621, 2337, 1864, 968, 332, 913, 593, 547, 1945, 799, 568, 1454, 9875, 892, 543, 772, 2742, 21593, 519, 3760, 779, 16134, 281, 968, 2026, 4166, 607, 596, 979, 593, 267, 596, 723, 707, 13374, 543, 621, 779, 865, 2653, 547, 4945, 593, 835, 3364, 543, 1376, 2847, 2358, 513, 1888, 2223, 1352, 3081, 563, 2108, 28495, 1722, 814, 2731, 5280, 803, 23590, 585, 4255, 2223, 3081, 26636, 6062, 269, 968, 10303, 596, 666, 3406, 1018, 596, 1616, 547, 1451, 827, 543, 519, 3760, 786, 2285, 596, 513, 562, 1872, 1326, 593, 602, 3034, 8649, 601, 773, 3507, 919, 519, 2123, 2213, 11444, 799, 2708, 9342, 543, 12755, 543, 18637, 686, 11253, 3081, 621, 779, 968, 320, 2731, 1434, 3760, 1317, 621, 779, 711, 593, 1957, 1107, 621, 779, 811, 1187, 1848, 0, 10932, 26831, 6276, 2696, 7773, 267, 1912, 6185, 1421, 27180, 20344, 538, 2203, 7103, 267, 543, 1010, 960, 609, 8983, 814, 3254, 602, 2789, 4761, 16052, 2010, 21391, 5160, 20344, 563, 763, 8031, 540, 2937, 11864, 616, 711, 2111, 547, 16956, 4733, 267, 543, 1022, 993, 1584, 566, 540, 513, 7857, 610, 18215, 568, 8628, 269, 10815, 1471, 4601, 267, 3441, 547, 938, 8219, 5012, 547, 10077, 2861, 7816, 267, 711, 20344, 267, 10556, 532, 2104, 1599, 269, 634, 7687, 547, 20344, 616, 711, 1134, 6956, 267, 1256, 1498, 8284, 30900, 971, 607, 519, 4949, 565, 582, 331, 2892, 600, 6387, 11677, 7347, 27532, 4390, 2429, 1272, 269, 3194, 26831, 6276, 2696, 7773, 267, 1912, 6185, 1421, 27180, 20344, 538, 2203, 7103, 267, 543, 1010, 960, 609, 8983, 814, 3254, 602, 2789, 4761, 16052, 2010, 21391, 5160, 20344, 269, 589, 2947, 4458, 267, 1269, 273, 269, 275, 300, 681, 4905, 9886, 568, 5885, 2417, 7634, 540, 519, 6127, 3238, 267, 543, 875, 513, 1114, 15410, 540, 4761, 2281, 1572, 570, 15696, 17419, 2281, 630, 307, 2958, 338, 264, 666, 581, 605, 3146, 10090, 894, 269, 634, 960, 786, 2697, 519, 2565, 6211, 11444, 543, 4719, 1110, 13294, 2877, 547, 1110, 3634, 4761, 2534, 543, 16578, 24353, 27532, 1761, 538, 2937, 27899, 8031, 267, 609, 519, 10700, 3804, 540, 7393, 5160, 7816, 538, 1480, 2550, 563, 294, 7949, 3877, 281, 4179, 2517, 516, 1602, 614, 8542, 8811, 10993, 270, 14142, 27160, 1691, 343, 278, 3201, 325, 342, 330, 273, 332, 301, 322, 326, 12435, 341, 313, 305, 321, 304, 24579, 915, 1673, 564, 5661, 270, 10755, 5038, 273, 4649, 454, 26212, 4949, 565, 582, 331, 1382, 281, 4179, 2517, 4178, 12459, 1314, 3820, 30406, 7146, 15564, 2074, 270, 1001, 278, 12458, 1872, 755, 270, 14545, 16052, 338, 25178, 268, 4486, 268, 14337, 2987, 2275, 731, 13519, 3146, 14749, 454, 14197, 5304, 2376, 827, 2696, 7773, 779, 960, 609, 4949, 565, 582, 3149, 693, 519, 6778, 19164, 6816, 18143, 12524, 267, 1141, 646, 6585, 513, 4745, 13393, 281, 4179, 2517, 31850, 3820, 30406, 270, 1708, 272, 268, 6187, 1606, 2615, 626, 268, 8974, 2391, 2000, 12494, 3146, 14749, 15005, 0, 2704, 326, 3596, 916, 616, 10876, 267, 543, 789, 723, 2810, 1379, 936, 1018, 649, 8532, 630, 8649, 7571, 267, 28923, 267, 28607, 27717, 1070, 945, 649, 4266, 12462, 1492, 8924, 25257, 543, 875, 649, 1174, 519, 1158, 630, 11386, 267, 19208, 1040, 1924, 267, 1018, 616, 6620, 267, 543, 875, 1705, 789, 1831, 865, 3532, 286, 5808, 616, 519, 3425, 602, 1711, 873, 267, 543, 1946, 1281, 621, 2339, 888, 1103, 713, 13186, 267, 649, 786, 2263, 875, 6620, 666, 28511, 9186, 543, 7130, 267, 543, 1865, 930, 15324, 2994, 269, 898, 568, 1930, 547, 6267, 540, 782, 10080, 543, 1995, 563, 1607, 13186, 786, 581, 6035, 3842, 28652, 269, 1403, 596, 2811, 10805, 267, 596, 3513, 4309, 519, 28652, 27592, 1344, 519, 1554, 1354, 519, 13186, 563, 9743, 1192, 832, 281, 17125, 2421, 8065, 2006, 267, 8447, 7070, 543, 7177, 20157, 4115, 282, 12891, 2917, 8891, 3205, 267, 3194, 1299, 19019, 20157, 4115, 267, 9012, 543, 4578, 17402, 282, 808, 10154, 6970, 334, 267, 4578, 17402, 9906, 454, 5970, 4329, 5999, 888, 2171, 2811, 1934, 547, 948, 269, 13378, 609, 513, 7172, 4115, 476, 2190, 270, 278, 267, 8430, 513, 1382, 15360, 610, 4757, 721, 707, 2656, 2055, 269, 0, 14722, 616, 835, 1900, 6251, 547, 30260, 519, 2706, 13463, 8283, 27100, 476, 12893, 563, 288, 16528, 2319, 540, 3744, 2487, 5342, 6901, 593, 27100, 476, 12893, 693, 519, 717, 10485, 29581, 3128, 16379, 10418, 585, 24581, 594, 517, 3194, 538, 5125, 269, 1323, 3693, 779, 10570, 1297, 267, 476, 12893, 538, 713, 2013, 267, 4564, 519, 1297, 540, 22571, 606, 3693, 3568, 269, 1280, 713, 1353, 267, 14970, 16631, 6941, 602, 519, 1382, 2319, 968, 3333, 582, 513, 2706, 1922, 770, 11237, 540, 7513, 630, 6518, 814, 476, 736, 22571, 264, 693, 513, 6094, 4670, 540, 5643, 545, 1756, 267, 519, 3693, 609, 476, 4817, 22571, 269, 1879, 891, 10570, 22140, 2458, 3660, 267, 930, 535, 4310, 1927, 547, 1711, 2110, 24331, 8444, 609, 476, 12893, 22571, 3034, 1607, 1007, 1382, 729, 3366, 676, 667, 25184, 23052, 20462, 267, 513, 7548, 693, 519, 6498, 540, 10570, 6323, 693, 700, 1495, 2160, 269, 1261, 6941, 602, 267, 4352, 3744, 689, 519, 3794, 3317, 570, 269, 1530, 1987, 326, 4659, 543, 519, 11906, 10334, 543, 17437, 3163, 10406, 693, 519, 18039, 20506, 3467, 2817, 12524, 9307, 519, 6602, 540, 27100, 476, 12893, 538, 476, 1220, 275, 267, 621, 814, 2943, 547, 581, 13166, 17019, 1317, 4830, 21533, 568, 2838, 547, 2268, 519, 3169, 23442, 1297, 269, 23052, 20462, 543, 1010, 2319, 779, 2487, 6901, 1705, 602, 563, 292, 2211, 476, 12893, 4607, 3007, 538, 476, 2735, 280, 950, 9351, 476, 7906, 27646, 321, 12294, 7585, 32303, 541, 7682, 539, 602, 31373, 14111, 14361, 693, 9351, 476, 7906, 779, 590, 275, 9744, 941, 13324, 676, 519, 3693, 269, 918, 299, 3008, 6874, 309, 3329, 894, 27680, 6723, 12928, 1952, 3370, 513, 1650, 1739, 519, 6602, 540, 27100, 476, 12893, 538, 476, 1220, 275, 269, 769, 519, 2376, 267, 12928, 1952, 12038, 609, 32303, 541, 827, 519, 476, 1220, 275, 6602, 267, 1945, 547, 799, 12928, 1952, 5219, 607, 968, 320, 7096, 1646, 3034, 301, 13086, 2447, 626, 3794, 3317, 570, 269, 1530, 1987, 326, 6069, 519, 7872, 540, 606, 968, 529, 1633, 540, 6617, 892, 538, 519, 3735, 476, 3422, 271, 338, 269, 4112, 8724, 713, 1523, 267, 15019, 3163, 6257, 912, 301, 13086, 21575, 24370, 1125, 602, 513, 9059, 1297, 540, 22571, 543, 25268, 1223, 3132, 2614, 11006, 1648, 547, 25559, 519, 4229, 602, 15237, 6306, 519, 5230, 22140, 267, 543, 11904, 519, 1007, 2609, 607, 7123, 607, 519, 1455, 2609, 602, 2291, 3544, 540, 11046, 1159, 553, 1667, 269, 634, 21575, 1572, 891, 9059, 2338, 519, 968, 529, 1633, 540, 6617, 892, 1317, 519, 2609, 609, 519, 2338, 12440, 1927, 593, 519, 13350, 3349, 267, 1166, 1678, 539, 593, 782, 5011, 676, 3134, 31906, 531, 2609, 602, 26632, 622, 538, 6289, 846, 6948, 563, 19013, 267, 1813, 547, 922, 4028, 9178, 267, 27100, 476, 12893, 267, 899, 922, 15231, 27100, 476, 14625, 267, 3085, 1406, 3100, 547, 19582, 519, 968, 529, 1633, 540, 6617, 3034, 19400, 6816, 540, 853, 1464, 593, 32282, 269, 6423, 811, 689, 715, 23701, 2257, 301, 8582, 563, 299, 633, 16631, 6941, 602, 27100, 476, 12893, 814, 2943, 547, 581, 13166, 3957, 267, 968, 8117, 621, 568, 17303, 1572, 796, 684, 25871, 1756, 267, 10199, 1759, 593, 519, 5824, 543, 5259, 1913, 585, 519, 9704, 538, 922, 10570, 1297, 267, 476, 12893, 3034, 763, 1007, 1382, 786, 581, 3370, 538, 634, 8447, 5623, 16707, 563, 296, 4898, 952, 606, 24236, 540, 713, 1007, 6602, 1131, 581, 2706, 8410, 2265, 532, 693, 4055, 2837, 888, 9617, 519, 1249, 602, 789, 4362, 713, 3693, 1296, 1310, 32303, 541, 12038, 827, 621, 568, 5863, 543, 8591, 513, 2603, 540, 17258, 547, 1010, 2013, 269, 594, 1589, 938, 2229, 814, 579, 325, 334, 2029, 543, 814, 1044, 12394, 547, 9258, 11653, 621, 563, 15862, 1267, 585, 796, 684, 25871, 1756, 454, 15862, 1267, 585, 796, 684, 25871, 1756, 454, 15862, 1267, 585, 796, 684, 25871, 1756, 454, 15862, 1267, 585, 796, 684, 25871, 1756, 5415, 2592, 454, 4462, 684, 25871, 1756, 568, 519, 10151, 2012, 540, 513, 10991, 2706, 515, 8283, 3693, 538, 519, 13350, 3349, 602, 814, 519, 10151, 3090, 772, 1575, 543, 814, 519, 10570, 1297, 476, 12893, 269, 9504, 454, 4263, 5669, 1297, 281, 476, 12893, 454, 290, 3008, 9517, 281, 476, 25851, 5952, 268, 5038, 268, 273, 454, 4263, 5669, 2527, 281, 476, 25971, 579, 454, 31367, 3126, 281, 19045, 267, 623, 333, 1112, 4094, 267, 11270, 476, 278, 3693, 454, 291, 12447, 667, 342, 9807, 267, 2094, 596, 1500, 707, 2022, 476, 274, 540, 519, 476, 275, 14664, 25963, 941, 7166, 538, 513, 1524, 539, 7077, 6028, 519, 14664, 547, 519, 1158, 779, 5763, 5006, 812, 454, 763, 3693, 476, 12893, 602, 649, 4076, 2813, 568, 1932, 2110, 540, 25268, 547, 1935, 6617, 269, 2334, 3085, 1406, 1611, 602, 3693, 476, 12893, 609, 513, 18481, 1164, 23377, 1293, 666, 1406, 610, 4465, 1406, 581, 7123, 269, 1284, 1175, 10093, 1406, 630, 344, 564, 264, 519, 1797, 547, 1711, 513, 13540, 609, 513, 18481, 1164, 23377, 1293, 563, 296, 1175, 1265, 621, 16168, 875, 4625, 2634, 13195, 1117, 519, 2489, 1857, 568, 269, 1411, 666, 12235, 5013, 543, 2963, 971, 607, 713, 856, 972, 543, 2943, 519, 5752, 4667, 547, 7173, 841, 269, 7585, 32303, 541, 12038, 519, 5168, 543, 1004, 22309, 1864, 269, 3767, 1010, 1913, 941, 7691, 607, 5168, 543, 1004, 616, 1869, 10404, 1944, 563, 1432, 519, 535, 568, 2469, 593, 11631, 286, 28024, 696, 923, 1175, 4607, 519, 6169, 789, 16761, 543, 789, 1869, 616, 3843, 547, 17854, 713, 607, 1175, 513, 24242, 269, 1411, 1004, 616, 1427, 12023, 676, 2923, 269, 1411, 2307, 585, 6169, 267, 596, 1205, 621, 269, 19227, 649, 616, 1175, 24242, 28466, 630, 28755, 5414, 264, 3767, 602, 596, 723, 2312, 6169, 267, 11214, 596, 1265, 606, 11389, 32208, 7778, 607, 547, 875, 713, 666, 711, 581, 3020, 269, 32298, 779, 1876, 533, 680, 269, 2422, 1455, 2631, 543, 7954, 563, 3963, 1131, 519, 2923, 2995, 596, 519, 5168, 11631, 26834, 898, 568, 1175, 1776, 18294, 14102, 676, 519, 1754, 618, 26008, 18040, 2894, 4959, 5990, 700, 17129, 29376, 292, 589, 623, 25459, 2316, 5746, 3198, 670, 5085, 291, 670, 3041, 654, 16704, 286, 17547, 1373, 13265, 543, 3247, 4189, 519, 968, 13700, 3578, 607, 621, 568, 10480, 547, 596, 6100, 2142, 513, 18896, 543, 1413, 585, 621, 269, 898, 568, 707, 10279, 607, 513, 606, 10995, 1373, 563, 3383, 267, 1310, 1296, 543, 1296, 789, 666, 6368, 3132, 3693, 476, 12893, 269, 17652, 267, 630, 339, 22736, 538, 1296, 264, 789, 786, 581, 2111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1696, 620, 563, 17220, 10003, 5742, 454, 2690, 12190, 7240, 3877, 1294, 4704, 476, 278, 563, 8368, 476, 273, 281, 12186, 540, 6154, 697, 21929, 5314, 21474, 593, 6052, 29283, 454, 763, 13814, 4518, 326, 549, 788, 476, 1220, 271, 454, 30051, 265, 14192, 310, 1315, 952, 15710, 1315, 10001, 308, 1315, 670, 3722, 2177, 454, 305, 5819, 8189, 593, 7025, 21694, 454, 1892, 2799, 4492, 4398, 476, 1960, 271, 268, 1001, 276, 3040, 28051, 540, 13907, 3040, 4389, 8900, 4881, 3040, 1804, 1110, 531, 6521, 547, 7841, 3040, 4824, 4492, 4398, 3040, 1804, 1110, 531, 476, 2735, 279, 268, 476, 1001, 271, 6521, 547, 7841, 3040, 2362, 6174, 3351, 5314, 3040, 10156, 9883, 24964, 3040, 10300, 1324, 540, 519, 2557, 540, 9522, 928, 14790, 2208, 547, 476, 1960, 276, 268, 476, 1708, 271, 476, 1015, 260, 829, 8717, 454, 27087, 538, 1648, 4616, 1870, 607, 8912, 454, 1892, 1804, 1110, 531, 6521, 547, 7841, 543, 1216, 454, 7758, 919, 547, 1279, 3845, 3560, 454, 21328, 9273, 1759, 593, 681, 4753, 303, 1110, 531, 8237, 9072, 543, 9193, 540, 1808, 1648, 4616, 676, 7154, 269, 6154, 697, 6808, 23004, 1759, 593, 4972, 540, 519, 5113, 267, 13255, 543, 519, 3204, 687, 2048, 13233, 10003, 29853, 5983, 4751, 338, 630, 15124, 6628, 264, 476, 1960, 278, 9957, 5507, 267, 476, 1960, 278, 563, 8368, 476, 274, 281, 20556, 1063, 24162, 27990, 13379, 543, 23556, 21252, 593, 29139, 928, 10275, 332, 829, 22175, 516, 5178, 529, 269, 27990, 1826, 543, 14407, 2597, 15519, 573, 5370, 6174, 476, 274, 269, 276, 910, 278, 269, 276, 19726, 476, 278, 269, 276, 268, 1704, 19726, 476, 1704, 268, 1839, 19726, 3436, 476, 1839, 19726, 454, 30182, 9522, 928, 10275, 916, 829, 1396, 516, 476, 275, 269, 273, 476, 280, 269, 276, 476, 1321, 269, 278, 476, 1240, 269, 276, 454, 9209, 545, 4327, 5370, 6174, 2999, 476, 3451, 19726, 3436, 476, 3451, 19726, 454, 13126, 281, 21025, 4883, 517, 630, 1960, 277, 264, 1201, 269, 476, 278, 454, 8201, 476, 272, 281, 18948, 540, 6052, 30540, 31950, 926, 657, 22159, 538, 23556, 29283, 630, 332, 11669, 30184, 1315, 3045, 636, 994, 291, 19302, 7841, 325, 516, 697, 6808, 21079, 8900, 4881, 547, 476, 1839, 260, 476, 1015, 260, 2333, 538, 4452, 3815, 454, 17780, 593, 1239, 689, 519, 476, 1960, 276, 1239, 585, 519, 5177, 689, 1201, 269, 476, 277, 543, 21025, 4883, 517, 630, 1960, 277, 264, 1201, 269, 476, 278, 454, 8201, 476, 273, 281, 6206, 10003, 6154, 697, 30352, 18748, 532, 13255, 2271, 3748, 543, 27990, 13139, 5314, 454, 26574, 540, 5370, 16487, 676, 4155, 454, 30182, 3259, 540, 688, 592, 10003, 9522, 928, 10275, 559, 2210, 637, 454, 16655, 3065, 6174, 8876, 4390, 454, 30182, 31139, 2597, 1315, 2450, 454, 260, 540, 8900, 4881, 454, 8201, 476, 274, 281, 7827, 538, 19105, 9796, 2903, 13379, 538, 519, 5177, 267, 519, 13814, 543, 13785, 281, 476, 2735, 271, 268, 1960, 276, 454, 260, 7827, 2094, 476, 2735, 271, 454, 736, 476, 1428, 476, 1015, 476, 276, 5177, 454, 13126, 281, 681, 3633, 9128, 12114, 1788, 269, 1201, 269, 476, 1240, 454, 8201, 476, 275, 281, 6480, 23660, 540, 519, 19105, 13139, 5314, 540, 10003, 6153, 338, 27990, 27519, 281, 9122, 593, 513, 11752, 540, 16869, 32722, 538, 13785, 543, 519, 13814, 563, 3445, 476, 3199, 476, 3583, 476, 2568, 476, 2004, 476, 2412, 476, 1789, 476, 736, 476, 1015, 476, 271, 454, 13126, 281, 6341, 340, 15625, 543, 570, 559, 29104, 630, 1960, 278, 264, 1201, 269, 476, 5655, 563, 260, 540, 2698, 6174, 5998, 521, 454, 8201, 476, 276, 281, 1160, 15251, 540, 22427, 1188, 18741, 2210, 637, 14840, 2506, 27679, 593, 5177, 10003, 338, 281, 476, 3192, 274, 910, 476, 1960, 277, 454, 3374, 476, 3451, 476, 4029, 476, 3066, 476, 2767, 476, 1839, 476, 10463, 454, 13126, 281, 5177, 8033, 5224, 11752, 540, 10003, 6153, 338, 13255, 563, 8201, 476, 277, 281, 23556, 22490, 547, 8844, 2290, 6022, 2280, 2000, 1933, 540, 31530, 7999, 5253, 2290, 18741, 2210, 516, 269, 630, 300, 815, 10672, 22306, 5106, 681, 815, 10685, 518, 22306, 5106, 264, 476, 2568, 454, 13126, 281, 21025, 4883, 517, 543, 23720, 630, 1960, 279, 264, 1201, 269, 476, 6872, 269, 0, 20751, 519, 5943, 540, 519, 13738, 19137, 267, 2094, 922, 5137, 538, 476, 1220, 273, 267, 1896, 15360, 11401, 723, 1044, 4371, 609, 519, 7589, 540, 922, 2818, 547, 1865, 1585, 2152, 269, 769, 713, 2796, 267, 1282, 519, 5822, 2622, 20051, 540, 519, 19137, 267, 538, 595, 639, 1723, 267, 18475, 267, 538, 476, 1220, 275, 267, 519, 476, 1321, 6237, 543, 21044, 7341, 540, 519, 19137, 1558, 267, 5275, 547, 4434, 538, 519, 4214, 540, 6237, 5698, 3584, 563, 4263, 602, 942, 267, 519, 6228, 540, 606, 1656, 6756, 19541, 18886, 609, 476, 4097, 2818, 267, 1851, 2477, 267, 3955, 32744, 20871, 543, 11683, 20492, 269, 17497, 267, 519, 1656, 6756, 13738, 19541, 568, 1500, 909, 540, 519, 5722, 1656, 6756, 2477, 602, 5063, 630, 20809, 476, 1001, 278, 264, 8815, 593, 513, 13636, 18509, 1588, 11115, 1143, 563, 7659, 10350, 7516, 454, 2026, 3255, 267, 972, 616, 1896, 6405, 2833, 6322, 693, 1818, 7298, 519, 2533, 543, 5370, 3177, 676, 7823, 8134, 538, 519, 3148, 269, 1358, 1331, 6127, 540, 1427, 9084, 585, 5117, 2533, 630, 324, 3052, 269, 631, 2207, 2464, 292, 268, 9281, 4696, 5741, 538, 18475, 593, 1427, 9084, 585, 3289, 25233, 2533, 5148, 2067, 5989, 585, 1216, 4859, 689, 11811, 543, 27224, 15835, 630, 324, 3052, 269, 519, 1788, 593, 7849, 24486, 585, 4826, 18242, 538, 18475, 5148, 543, 519, 6388, 540, 7216, 2782, 940, 7010, 538, 7297, 515, 1091, 7925, 547, 16671, 630, 324, 3052, 269, 28130, 543, 18475, 1916, 5194, 1883, 11036, 568, 519, 13636, 15613, 585, 519, 11094, 543, 12655, 2422, 540, 4400, 1656, 6756, 22911, 4133, 630, 305, 4456, 306, 2752, 264, 8720, 5216, 2477, 538, 519, 3148, 563, 763, 6101, 1436, 540, 519, 1656, 6756, 13738, 19541, 630, 296, 4456, 264, 538, 476, 1220, 275, 6663, 693, 9301, 519, 1656, 6756, 10239, 607, 513, 1883, 5117, 547, 2149, 543, 693, 10996, 643, 1944, 6237, 9316, 1063, 1656, 6756, 2477, 3564, 3084, 6302, 269, 634, 1656, 6756, 15142, 19541, 630, 296, 4456, 264, 568, 513, 3760, 1500, 909, 540, 519, 5722, 2477, 602, 2671, 519, 1656, 6756, 7823, 2039, 281, 18335, 267, 30643, 267, 21896, 267, 16266, 267, 28130, 267, 18475, 543, 27816, 267, 543, 799, 267, 593, 513, 17319, 4493, 267, 3343, 547, 7794, 6237, 5188, 6322, 693, 5009, 543, 23072, 4745, 3527, 6322, 693, 519, 5726, 543, 4264, 1646, 540, 519, 1656, 6756, 10239, 563, 290, 2753, 2486, 7589, 454, 1103, 519, 1656, 6756, 3148, 267, 29355, 6127, 540, 782, 519, 8639, 616, 23801, 6236, 519, 2647, 8739, 14426, 4763, 540, 713, 7823, 3148, 269, 15316, 2665, 2291, 602, 2832, 547, 11753, 782, 9739, 689, 3540, 2486, 3906, 267, 2059, 609, 2229, 8128, 267, 1519, 6805, 9082, 267, 27998, 267, 2021, 267, 1762, 1004, 543, 1866, 269, 901, 568, 6913, 267, 585, 1383, 267, 998, 12504, 15360, 6127, 630, 6635, 7217, 2088, 267, 16266, 1070, 16857, 4058, 630, 289, 565, 14746, 1070, 610, 1016, 20139, 11558, 7515, 1472, 2916, 1689, 2152, 630, 8624, 4861, 807, 267, 28130, 1040, 1323, 5499, 1995, 568, 519, 5137, 540, 18475, 779, 7087, 24447, 685, 25957, 585, 8693, 7827, 563, 763, 3117, 528, 857, 334, 16948, 1714, 2677, 541, 2651, 334, 590, 739, 523, 1043, 632, 3288, 8278, 648, 326, 542, 1656, 2088, 630, 25321, 291, 2464, 3198, 264, 814, 1500, 1271, 7418, 547, 4264, 7823, 1646, 543, 547, 3895, 2257, 1790, 32123, 13972, 585, 5176, 1079, 5756, 269, 634, 3919, 729, 2813, 538, 476, 1960, 273, 607, 513, 11450, 540, 2516, 15469, 676, 519, 4139, 8000, 6737, 4741, 543, 519, 4139, 4886, 3194, 10418, 269, 4595, 476, 1220, 280, 267, 12164, 291, 2464, 3198, 568, 606, 4830, 3919, 602, 5713, 607, 513, 6237, 3760, 585, 1382, 585, 1646, 269, 10361, 32483, 1229, 538, 7799, 320, 267, 18475, 267, 621, 568, 18170, 676, 513, 4937, 13909, 540, 3486, 27498, 543, 606, 15445, 10615, 563, 25321, 291, 2464, 3198, 779, 12250, 1686, 9356, 519, 2956, 540, 6043, 543, 9542, 538, 7823, 2127, 267, 609, 606, 8561, 593, 4264, 2359, 540, 7823, 8916, 998, 1614, 1292, 14911, 2994, 281, 476, 272, 269, 11310, 5108, 543, 2359, 282, 476, 273, 269, 12655, 10350, 282, 543, 476, 274, 269, 12655, 2244, 2359, 267, 11808, 543, 5726, 269, 2060, 519, 1489, 540, 3486, 4891, 267, 519, 3919, 7620, 5059, 593, 16046, 3173, 267, 1646, 9439, 267, 543, 8639, 267, 543, 547, 2697, 3617, 1797, 585, 5009, 519, 1646, 540, 1656, 6756, 29436, 13001, 1815, 4722, 338, 269, 3683, 942, 267, 12164, 291, 2464, 3198, 779, 5692, 543, 12250, 2497, 5828, 547, 20834, 1944, 519, 5763, 540, 519, 1656, 525, 538, 1931, 547, 7753, 6710, 543, 1514, 17181, 563, 1103, 519, 2749, 540, 13535, 541, 1794, 267, 18475, 267, 519, 5171, 538, 519, 968, 13328, 20051, 540, 13738, 23270, 338, 547, 476, 1708, 271, 281, 4826, 267, 5020, 543, 13870, 892, 2743, 538, 4873, 476, 1220, 273, 563, 5445, 9772, 519, 968, 5719, 743, 9653, 540, 13535, 541, 1794, 892, 538, 799, 789, 4363, 7823, 2477, 547, 1491, 3527, 585, 519, 4027, 540, 13738, 23270, 338, 267, 16561, 519, 7840, 540, 3848, 476, 1724, 540, 3397, 12629, 476, 2641, 267, 519, 13482, 593, 18143, 16844, 543, 519, 2164, 540, 519, 27169, 2622, 10985, 593, 12655, 4886, 269, 898, 729, 849, 5227, 267, 693, 602, 942, 267, 547, 1106, 513, 13738, 23270, 338, 11554, 6828, 267, 2921, 5413, 540, 519, 3255, 6035, 676, 519, 29312, 7921, 27169, 267, 547, 1711, 543, 7794, 24816, 602, 1131, 24808, 519, 3646, 540, 6608, 543, 519, 1292, 2516, 4857, 538, 3397, 12629, 476, 2641, 538, 519, 5133, 540, 2679, 4264, 1646, 538, 519, 10239, 563, 1103, 5239, 476, 1220, 275, 267, 538, 595, 639, 1723, 267, 18475, 267, 1282, 519, 5822, 2622, 20051, 540, 519, 13738, 19137, 267, 519, 968, 5719, 743, 9653, 540, 519, 1656, 525, 892, 729, 5423, 269, 6206, 10862, 960, 4798, 941, 6069, 1519, 9265, 5726, 267, 16857, 4058, 267, 1344, 5385, 267, 556, 1998, 528, 1436, 540, 1656, 6756, 2528, 267, 2916, 1689, 543, 9568, 1981, 2359, 267, 543, 14304, 540, 6237, 7823, 10350, 563, 1103, 5181, 476, 1220, 278, 267, 538, 570, 1075, 636, 17505, 267, 18335, 267, 519, 3689, 1656, 6756, 4427, 2958, 1308, 20051, 540, 519, 1656, 6756, 13738, 19541, 729, 4371, 282, 898, 729, 13984, 676, 13222, 540, 18335, 267, 30643, 267, 21896, 267, 28130, 267, 18475, 543, 27816, 267, 607, 1134, 607, 13222, 540, 3486, 3906, 543, 3875, 27013, 543, 13222, 540, 6805, 9082, 269, 634, 968, 5719, 743, 9653, 540, 5842, 20353, 3241, 632, 570, 1075, 636, 17505, 892, 729, 9896, 543, 519, 968, 288, 794, 4643, 585, 519, 12655, 4886, 540, 519, 1656, 6756, 15142, 892, 729, 4843, 563, 13528, 1637, 540, 519, 13636, 5741, 585, 16237, 28517, 12160, 2218, 5004, 585, 12655, 4886, 538, 519, 1656, 525, 267, 1710, 2331, 998, 519, 14174, 302, 2930, 9316, 7271, 630, 307, 9573, 1040, 634, 1788, 540, 799, 18335, 267, 30643, 267, 16266, 267, 21896, 267, 28130, 543, 18475, 941, 851, 1185, 519, 2489, 6662, 540, 14304, 543, 9750, 519, 12250, 5943, 540, 10239, 693, 519, 3084, 543, 6237, 1656, 6756, 1377, 267, 5355, 519, 29355, 2359, 540, 2200, 543, 9750, 1702, 593, 519, 1114, 3584, 269, 602, 3382, 873, 267, 609, 2027, 8561, 593, 2866, 2238, 563, 1103, 2904, 476, 1001, 275, 267, 538, 4446, 559, 28970, 267, 18335, 267, 519, 4083, 4427, 2958, 1308, 20051, 540, 519, 1656, 6756, 19541, 729, 4371, 267, 689, 2904, 476, 278, 547, 476, 280, 267, 1369, 519, 5943, 540, 519, 19479, 540, 519, 27427, 1315, 681, 6369, 1315, 476, 20065, 272, 5741, 267, 1141, 519, 968, 5719, 743, 9653, 540, 4446, 559, 28970, 5608, 799, 5267, 519, 5137, 540, 513, 6237, 1560, 585, 11558, 1851, 519, 2477, 630, 21406, 968, 8802, 1308, 11115, 1143, 26158, 6554, 543, 1875, 3766, 21194, 13222, 689, 18335, 267, 30643, 267, 16266, 267, 21896, 267, 28130, 267, 18475, 543, 27816, 15548, 563, 763, 27427, 6363, 288, 302, 1788, 3812, 519, 8313, 968, 290, 867, 650, 5028, 632, 17485, 1656, 525, 267, 606, 4316, 585, 519, 5610, 543, 1646, 540, 3162, 3013, 5608, 799, 25173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 14117, 5600, 269, 2991, 2072, 267, 11709, 717, 26710, 16957, 569, 26437, 909, 1010, 6569, 1274, 543, 5795, 621, 547, 513, 14382, 3482, 538, 513, 7404, 2156, 1492, 331, 269, 0, 15037, 476, 1556, 267, 476, 1001, 275, 5788, 950, 621, 2501, 547, 1557, 1603, 267, 519, 1034, 1455, 8642, 25696, 616, 3103, 267, 2247, 7851, 267, 543, 1523, 7851, 269, 519, 4672, 8645, 8642, 28013, 568, 513, 10959, 585, 2239, 1603, 269, 713, 6405, 4159, 3860, 1603, 31776, 540, 2497, 568, 1360, 3730, 538, 16042, 519, 1419, 4101, 543, 7938, 1752, 344, 4305, 540, 1603, 513, 5037, 610, 1557, 269, 1287, 519, 4661, 666, 581, 811, 3362, 6045, 543, 6462, 1312, 5011, 1631, 630, 338, 2217, 6192, 28013, 264, 4063, 281, 676, 23891, 823, 3786, 10428, 5788, 3370, 949, 476, 2918, 267, 476, 1001, 276, 5788, 8242, 694, 4697, 476, 273, 267, 476, 1001, 277, 269, 713, 771, 2284, 1603, 1957, 538, 3829, 8642, 28013, 568, 9735, 585, 4058, 513, 4062, 540, 13181, 1603, 689, 4098, 547, 1439, 269, 519, 1360, 2241, 1603, 8642, 25696, 1250, 1053, 946, 1923, 1863, 1603, 8642, 25696, 1775, 2760, 7691, 1775, 1185, 513, 2178, 6644, 540, 519, 1603, 8642, 25696, 1775, 6534, 1250, 1053, 547, 2394, 513, 1906, 1296, 3516, 950, 1775, 5249, 2042, 547, 581, 12193, 5702, 609, 8642, 25696, 585, 1603, 606, 1557, 824, 1863, 2852, 3594, 3610, 630, 328, 5249, 607, 606, 1965, 565, 4116, 945, 6462, 519, 1053, 538, 1603, 264, 8642, 3594, 3820, 25696, 616, 3407, 2645, 547, 8642, 25696, 585, 1603, 606, 1557, 948, 1053, 10891, 741, 4555, 8642, 25696, 585, 1603, 606, 1557, 3332, 2689, 1382, 2409, 1354, 789, 2253, 1603, 606, 1557, 269, 5885, 1469, 269, 606, 10026, 8642, 28013, 1223, 948, 1762, 8100, 538, 513, 1382, 1957, 1053, 1174, 519, 2078, 1063, 6863, 1913, 543, 741, 9096, 707, 6780, 10096, 267, 1247, 513, 1647, 1153, 8642, 8642, 25696, 585, 1603, 606, 1557, 28013, 1522, 3391, 513, 1362, 538, 5587, 4328, 519, 2014, 13716, 3347, 540, 2257, 269, 8642, 25696, 616, 513, 2241, 8642, 25696, 585, 1603, 606, 1557, 2943, 2706, 2500, 3442, 519, 1655, 5098, 3948, 2645, 585, 1818, 513, 4605, 883, 513, 1134, 6537, 856, 2219, 269, 1101, 1560, 5037, 630, 4812, 476, 272, 1040, 2705, 267, 547, 3610, 267, 621, 779, 513, 1449, 547, 4585, 875, 6896, 512, 339, 6921, 5289, 1143, 1557, 835, 779, 1018, 568, 11505, 1557, 513, 2497, 540, 606, 1557, 4555, 605, 543, 598, 1557, 1383, 616, 543, 875, 18991, 513, 2875, 11339, 621, 1524, 269, 0, 16240, 606, 12819, 1557, 568, 711, 606, 2653, 4305, 282, 621, 786, 8532, 513, 2603, 540, 707, 942, 267, 865, 621, 568, 1898, 547, 3442, 513, 1888, 5078, 547, 707, 4690, 543, 16919, 267, 1818, 621, 10694, 2614, 547, 25407, 707, 3988, 563, 763, 3584, 585, 3594, 666, 581, 1360, 9867, 543, 4277, 269, 1411, 666, 4867, 2328, 827, 2916, 1689, 267, 5533, 267, 3662, 2924, 267, 2230, 3408, 267, 5841, 4987, 267, 27436, 16839, 267, 6710, 267, 543, 22158, 267, 1851, 1866, 563, 6524, 596, 1376, 267, 3314, 602, 606, 1557, 779, 3483, 568, 547, 18005, 8044, 606, 2856, 267, 9880, 267, 610, 513, 3948, 593, 513, 1808, 1888, 563, 1103, 713, 2376, 267, 649, 786, 2446, 543, 2328, 930, 2093, 1141, 267, 538, 1840, 547, 519, 1292, 1888, 267, 811, 1808, 5705, 641, 923, 616, 3769, 602, 666, 581, 519, 1292, 2856, 540, 1022, 1557, 563, 2304, 12819, 1257, 568, 2854, 9306, 1114, 8369, 3823, 513, 3844, 2856, 855, 2141, 4509, 1843, 2032, 269, 769, 713, 2631, 267, 649, 666, 2161, 602, 621, 5666, 547, 606, 968, 30161, 10698, 892, 540, 1946, 1945, 568, 835, 1259, 543, 711, 1776, 563, 10376, 540, 519, 1739, 1806, 1223, 581, 1031, 968, 553, 568, 892, 789, 666, 849, 4196, 607, 513, 4358, 1448, 585, 707, 1382, 269, 7025, 2152, 912, 268, 2052, 649, 2149, 3552, 2127, 543, 2831, 676, 5009, 3235, 582, 24397, 888, 268, 1548, 666, 649, 798, 547, 948, 723, 2973, 1216, 888, 268, 634, 8594, 540, 3282, 29908, 538, 519, 5836, 563, 268, 9701, 25772, 9772, 9286, 20203, 12074, 547, 3895, 9657, 888, 268, 1772, 10122, 1434, 610, 3983, 585, 519, 1604, 888, 268, 4208, 596, 723, 547, 18359, 3282, 563, 268, 6496, 1373, 513, 20757, 610, 17154, 948, 519, 1604, 888, 268, 9701, 3025, 11878, 1857, 3560, 547, 11574, 5533, 888, 268, 3657, 3167, 6517, 607, 13476, 7874, 607, 789, 3409, 547, 581, 888, 268, 9701, 519, 2229, 798, 811, 547, 1439, 13829, 593, 1875, 3146, 2908, 762, 1648, 2959, 888, 268, 9701, 519, 2229, 10038, 610, 7333, 3282, 17656, 888, 268, 4208, 1058, 649, 946, 23431, 11435, 888, 268, 6496, 9657, 1118, 513, 3017, 888, 268, 9701, 10820, 798, 811, 547, 22120, 519, 20203, 789, 3132, 888, 268, 2598, 1842, 762, 1019, 3639, 616, 5906, 547, 519, 1604, 563, 268, 9701, 2706, 5658, 1115, 5279, 585, 5068, 11435, 547, 5000, 519, 946, 540, 23431, 11435, 888, 268, 9701, 938, 2197, 798, 811, 547, 5000, 9657, 286, 1215, 888, 268, 2052, 946, 10896, 8279, 3079, 540, 2757, 15620, 1118, 513, 3017, 888, 268, 1548, 568, 7622, 13818, 3653, 267, 543, 1946, 568, 621, 1271, 711, 547, 12235, 621, 2476, 888, 268, 1548, 568, 17717, 286, 1215, 1281, 621, 4755, 267, 543, 1018, 666, 581, 2944, 547, 3247, 621, 888, 268, 15661, 538, 8594, 540, 14486, 991, 4027, 563, 268, 9701, 782, 519, 6517, 540, 519, 2104, 581, 10316, 6472, 547, 7413, 2825, 3441, 543, 5533, 888, 268, 1548, 568, 9808, 9535, 286, 1772, 621, 4502, 1981, 532, 865, 1454, 547, 2470, 888, 268, 1284, 1590, 4339, 585, 513, 2486, 1510, 4574, 563, 268, 1548, 568, 513, 3327, 11640, 286, 1215, 666, 649, 1689, 938, 3327, 11640, 888, 268, 1548, 616, 519, 12178, 585, 1004, 2713, 538, 4872, 609, 1164, 5533, 888, 268, 1772, 17437, 5295, 15822, 888, 268, 1548, 568, 519, 1655, 1259, 547, 6023, 938, 20203, 286, 3657, 26071, 513, 1434, 2856, 888, 268, 23427, 7733, 991, 547, 581, 6870, 563, 268, 9701, 1286, 5411, 2628, 811, 9204, 607, 513, 1267, 540, 2825, 3441, 3361, 676, 5533, 888, 268, 9701, 1004, 3068, 554, 1513, 615, 20507, 607, 513, 1267, 540, 16445, 532, 888, 268, 9701, 4213, 1336, 16944, 540, 546, 18804, 6757, 3653, 543, 2326, 581, 9505, 1524, 888, 268, 1772, 938, 2197, 3257, 2614, 547, 2569, 2910, 273, 5434, 888, 268, 3657, 3425, 3743, 585, 2916, 1689, 888, 14197, 3584, 585, 1603, 3594, 454, 32487, 593, 3656, 3584, 616, 11342, 1851, 1053, 269, 1452, 1331, 3584, 827, 19858, 1876, 14708, 610, 6963, 532, 4540, 4031, 269, 7324, 519, 3656, 2152, 267, 519, 1739, 1796, 856, 912, 268, 9701, 519, 4616, 540, 13189, 543, 824, 2472, 5627, 10269, 581, 19275, 888, 268, 3657, 519, 16392, 2640, 540, 17089, 6190, 24134, 547, 3656, 1125, 621, 888, 268, 1772, 519, 2085, 547, 8532, 23931, 16098, 3617, 286, 9701, 621, 581, 2362, 610, 2539, 888, 268, 9701, 6046, 9604, 581, 17049, 11451, 888, 268, 6496, 519, 29611, 540, 10363, 6878, 543, 27640, 18352, 2333, 741, 28302, 4123, 888, 268, 1772, 16377, 513, 1318, 540, 2021, 286, 3657, 972, 3871, 538, 799, 16377, 1058, 581, 4847, 610, 19275, 888, 32487, 593, 5837, 2152, 3382, 513, 2647, 2039, 540, 21140, 267, 1519, 6927, 7282, 3425, 543, 2831, 685, 2126, 269, 1452, 3584, 616, 3501, 585, 12819, 3594, 2094, 789, 616, 3181, 23534, 563, 763, 1034, 1455, 5837, 2152, 616, 912, 268, 1772, 621, 2556, 547, 946, 2831, 547, 1449, 30143, 543, 5061, 888, 268, 1772, 621, 2953, 547, 4444, 2472, 602, 2097, 689, 2477, 602, 1489, 1126, 4074, 888, 268, 1684, 2550, 723, 519, 1318, 547, 19443, 11980, 630, 324, 30984, 25145, 268, 1772, 519, 14266, 540, 1568, 540, 1148, 602, 1397, 562, 26360, 3617, 538, 15882, 602, 616, 585, 782, 9458, 888, 268, 3657, 21071, 811, 5837, 982, 19473, 1235, 286, 6496, 13919, 4096, 593, 4984, 888, 268, 6496, 5191, 540, 4082, 2285, 1004, 519, 1318, 547, 1463, 17351, 4633, 2509, 824, 1004, 610, 3871, 888, 2710, 1004, 945, 3479, 646, 29532, 10963, 17330, 519, 2669, 15163, 888, 12892, 2152, 616, 1644, 547, 3656, 543, 5837, 3584, 855, 616, 9674, 689, 873, 1317, 789, 4308, 609, 875, 2043, 1599, 538, 2486, 269, 4746, 596, 666, 946, 891, 3584, 585, 2239, 1557, 563, 5278, 540, 891, 3584, 616, 912, 268, 9093, 798, 1034, 540, 519, 1164, 7400, 6009, 269, 9701, 519, 2229, 5000, 513, 1978, 6871, 540, 891, 6009, 547, 581, 11603, 585, 2021, 888, 268, 25672, 657, 616, 3006, 2808, 2556, 267, 855, 789, 616, 17071, 8925, 547, 513, 2067, 1604, 269, 9181, 930, 540, 519, 7440, 585, 543, 1996, 5329, 2831, 538, 18186, 657, 563, 268, 634, 1966, 540, 11648, 454, 268, 13891, 622, 593, 519, 1318, 2085, 585, 1762, 1004, 547, 1376, 2324, 454, 268, 634, 7411, 540, 8236, 2804, 7115, 454, 268, 11038, 5191, 454, 268, 4107, 865, 10777, 4641, 2982, 616, 3810, 733, 337, 1882, 543, 7703, 2370, 11696, 28917, 547, 1483, 1272, 269, 4635, 835, 610, 811, 1808, 3292, 585, 707, 1806, 267, 2491, 1946, 596, 3858, 610, 10990, 609, 713, 8343, 563, 268, 634, 2229, 1058, 20818, 7182, 593, 7622, 3653, 563, 268, 5020, 538, 519, 2197, 568, 1732, 982, 1272, 538, 519, 2749, 563, 268, 3657, 14038, 896, 1454, 2604, 547, 979, 547, 2852, 888, 268, 2311, 1018, 2085, 568, 621, 3617, 547, 2253, 16706, 519, 1318, 547, 8917, 888, 268, 9701, 11082, 723, 811, 2924, 888, 268, 4208, 1058, 2021, 5957, 1447, 17736, 545, 6681, 7802, 547, 2057, 968, 3430, 24219, 892, 13311, 2367, 286, 589, 1066, 1406, 2367, 3743, 585, 741, 3527, 1932, 888, 268, 1772, 621, 2953, 602, 29802, 4961, 723, 519, 1318, 547, 8917, 286, 3657, 972, 2665, 538, 799, 621, 1058, 581, 19275, 888, 268, 9701, 972, 581, 513, 1225, 325, 1168, 585, 896, 720, 4961, 888, 1103, 938, 2486, 267, 519, 2923, 723, 9715, 1390, 2956, 269, 9012, 3594, 1331, 875, 8613, 267, 5925, 267, 1514, 2923, 1860, 938, 2486, 543, 1018, 1543, 1058, 581, 4847, 269, 7324, 519, 12006, 3584, 616, 912, 268, 9701, 519, 6771, 540, 10207, 609, 8763, 4638, 1543, 581, 4847, 1282, 1920, 3108, 610, 782, 1857, 888, 268, 1548, 568, 519, 1377, 540, 10892, 602, 1058, 2291, 3823, 5208, 10299, 593, 8613, 888, 268, 1684, 20859, 723, 513, 10279, 711, 547, 1491, 1022, 5011, 950, 8989, 888, 268, 3657, 1857, 5515, 28915, 8972, 538, 519, 2527, 2923, 286, 9701, 519, 7834, 540, 28245, 581, 811, 15197, 888, 3849, 3200, 2358, 568, 5702, 1644, 547, 519, 2923, 2094, 621, 568, 1419, 10299, 998, 891, 269, 2368, 4143, 2152, 538, 2474, 540, 10229, 616, 912, 268, 1772, 621, 2953, 547, 1450, 519, 946, 540, 10229, 1369, 3506, 543, 824, 3872, 5238, 888, 268, 1772, 621, 2953, 547, 1450, 3549, 602, 3132, 23931, 16098, 543, 10269, 2472, 547, 946, 10229, 888, 268, 9701, 10229, 1331, 519, 21855, 543, 2427, 2360, 540, 15469, 2472, 888, 268, 1772, 1820, 10229, 28572, 888, 32487, 593, 5432, 3584, 3382, 513, 2647, 2039, 540, 2152, 282, 901, 568, 1317, 3885, 616, 1360, 3309, 269, 2368, 2489, 2152, 3823, 1920, 616, 912, 268, 1684, 1453, 17330, 610, 991, 606, 27108, 9706, 599, 888, 268, 1772, 621, 2953, 585, 3237, 547, 6895, 741, 1453, 779, 4950, 946, 888, 268, 1772, 621, 1697, 585, 513, 4651, 547, 5734, 1010, 5067, 547, 968, 974, 778, 1864, 513, 3992, 892, 888, 268, 9701, 3237, 5000, 741, 1453, 779, 7589, 538, 29599, 2238, 267, 971, 607, 5026, 610, 2575, 888, 268, 9701, 2582, 1004, 581, 2111, 547, 9772, 1453, 607, 3533, 607, 513, 7008, 888, 32487, 593, 519, 3872, 1062, 616, 835, 540, 519, 1034, 7805, 3681, 1317, 789, 1450, 16268, 9880, 540, 519, 1062, 649, 4866, 547, 269, 2368, 3584, 538, 713, 1858, 616, 912, 268, 7726, 532, 519, 1699, 2203, 540, 6281, 2069, 454, 268, 634, 1699, 17565, 540, 6281, 2069, 454, 268, 11957, 540, 5710, 532, 3872, 3631, 454, 268, 634, 946, 540, 3381, 3756, 538, 519, 4928, 607, 513, 3450, 1907, 454, 268, 634, 1909, 540, 10618, 538, 1514, 5121, 585, 2413, 2069, 563, 268, 634, 1909, 540, 2029, 538, 519, 4928, 454, 268, 1684, 1153, 1453, 991, 547, 1451, 513, 2034, 1893, 607, 4166, 607, 2009, 888, 268, 1548, 568, 968, 514, 2617, 894, 2069, 892, 888, 268, 634, 946, 540, 7658, 10746, 538, 1362, 269, 18370, 543, 931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12269, 476, 1626, 454, 269, 1879, 547, 1454, 1216, 814, 1044, 454, 3147, 636, 4327, 538, 519, 12269, 267, 621, 8813, 1524, 607, 4764, 269, 769, 713, 2013, 3665, 3002, 267, 21381, 689, 519, 454, 334, 4117, 4611, 538, 5848, 2011, 602, 9514, 338, 538, 936, 2244, 543, 568, 7142, 547, 4473, 1317, 540, 519, 3665, 3002, 2676, 29798, 538, 5230, 28681, 531, 11811, 585, 1614, 3275, 1282, 519, 4832, 630, 18907, 267, 5147, 543, 4864, 1916, 5194, 2601, 547, 5250, 540, 12269, 543, 5230, 11811, 568, 950, 519, 5848, 2011, 568, 25738, 538, 936, 454, 1633, 267, 789, 616, 7142, 547, 4473, 950, 789, 3914, 519, 22615, 28569, 269, 1879, 12798, 9514, 4724, 519, 454, 332, 20667, 267, 789, 616, 7142, 547, 4473, 936, 873, 269, 16828, 789, 3914, 519, 632, 342, 1448, 609, 519, 1267, 912, 515, 8283, 522, 5766, 1429, 545, 11811, 269, 634, 5230, 11811, 936, 519, 5045, 7823, 20933, 2164, 538, 5458, 5666, 454, 1993, 1216, 2173, 13293, 538, 12535, 602, 3123, 14700, 538, 8933, 538, 16273, 269, 634, 22615, 28569, 849, 6411, 607, 454, 320, 3774, 543, 11151, 519, 30734, 689, 8757, 2417, 538, 547, 5607, 269, 634, 5230, 11811, 602, 4386, 454, 15290, 519, 12269, 10301, 519, 22615, 28569, 2164, 538, 1447, 7509, 538, 519, 2011, 676, 519, 942, 519, 12269, 723, 454, 10139, 539, 936, 519, 7823, 267, 543, 950, 789, 723, 5293, 519, 7823, 267, 789, 786, 1376, 29855, 1586, 454, 20357, 972, 568, 4986, 11319, 873, 20733, 267, 543, 1287, 519, 2011, 646, 1846, 909, 1586, 543, 519, 1459, 454, 15879, 626, 18493, 919, 269, 2334, 5012, 547, 602, 519, 5087, 2427, 540, 519, 7823, 568, 2864, 3819, 267, 606, 1858, 602, 568, 454, 4385, 607, 519, 4764, 14692, 563, 10303, 540, 519, 4856, 2723, 529, 13716, 267, 12798, 25738, 689, 519, 20337, 7140, 547, 519, 1318, 269, 2334, 1797, 602, 454, 15290, 519, 12798, 3914, 3127, 267, 789, 2097, 689, 5045, 29891, 267, 7551, 519, 2012, 5045, 29891, 30734, 563, 3528, 2887, 630, 19751, 9539, 4912, 1070, 519, 21266, 1154, 540, 3618, 2164, 538, 513, 3350, 540, 519, 8668, 290, 313, 269, 2334, 1797, 602, 454, 1492, 5848, 2011, 602, 729, 25738, 5087, 568, 1631, 7432, 2509, 519, 1970, 25774, 602, 568, 1373, 6410, 454, 3724, 2509, 519, 4095, 5836, 1586, 267, 2495, 513, 2034, 2842, 30729, 269, 634, 5848, 2011, 568, 1287, 7142, 454, 1729, 4473, 936, 519, 22615, 28569, 1586, 267, 4611, 538, 513, 2034, 30734, 1572, 519, 5162, 15065, 22792, 269, 6489, 338, 454, 732, 1869, 7142, 547, 1847, 538, 513, 1318, 1532, 578, 855, 2094, 789, 616, 1631, 16042, 689, 5087, 789, 5734, 3127, 454, 517, 519, 5087, 29891, 2427, 269, 1809, 2094, 519, 1970, 2604, 538, 3127, 814, 6410, 5045, 267, 3127, 568, 711, 607, 3905, 607, 621, 454, 529, 1282, 519, 4832, 267, 543, 519, 30734, 4617, 839, 4166, 1310, 18644, 519, 7178, 2427, 540, 3127, 269, 1656, 2899, 454, 28785, 519, 22615, 28569, 6411, 607, 513, 3774, 267, 7303, 519, 30734, 689, 8757, 2417, 982, 7187, 454, 763, 5162, 5498, 1783, 1287, 814, 13175, 538, 3127, 1586, 267, 609, 3665, 10980, 609, 9793, 454, 339, 655, 704, 2137, 543, 12798, 25738, 689, 5087, 547, 3160, 1125, 519, 1970, 25774, 676, 519, 4095, 7909, 563, 1428, 28331, 2006, 267, 590, 630, 1960, 279, 994, 1626, 594, 19915, 476, 1704, 296, 19915, 476, 1240, 594, 19915, 476, 2918, 18051, 476, 1001, 271, 476, 277, 454, 9915, 514, 6021, 320, 27692, 570, 903, 330, 5811, 634, 30734, 16716, 3127, 1169, 1032, 267, 543, 1256, 1498, 621, 1522, 3100, 899, 972, 568, 1152, 2942, 454, 324, 977, 338, 540, 621, 267, 972, 568, 1079, 5011, 540, 519, 1966, 563, 9336, 1032, 267, 827, 476, 272, 476, 4335, 1004, 5884, 538, 7013, 5607, 1813, 547, 519, 30734, 476, 866, 454, 269, 1656, 594, 1589, 972, 616, 454, 13367, 531, 1919, 602, 1522, 2014, 7972, 676, 513, 30734, 269, 1879, 519, 4832, 15065, 22792, 16716, 538, 3127, 2676, 515, 8283, 14700, 4386, 799, 2164, 538, 2377, 1678, 906, 538, 8933, 602, 666, 711, 3180, 782, 519, 1216, 543, 616, 454, 1478, 6503, 539, 269, 19537, 1231, 538, 519, 4872, 666, 711, 11883, 609, 519, 7372, 5666, 540, 1216, 267, 543, 519, 5230, 454, 4148, 797, 532, 814, 1082, 2360, 971, 607, 267, 3676, 267, 1004, 9561, 741, 5321, 543, 7031, 1373, 10032, 563, 763, 1216, 2173, 13293, 543, 14700, 5012, 547, 1216, 1373, 26130, 950, 21394, 543, 824, 1216, 1606, 1545, 454, 3630, 7719, 267, 543, 519, 26130, 1216, 1287, 3587, 519, 1152, 6704, 2707, 585, 519, 4095, 2551, 269, 634, 454, 335, 3326, 3176, 1216, 1287, 5012, 547, 1082, 3676, 602, 3123, 1082, 7972, 1813, 547, 519, 3933, 22792, 563, 10144, 849, 6336, 741, 5321, 950, 789, 2811, 27876, 267, 3056, 547, 5458, 5666, 540, 1004, 1373, 454, 327, 558, 6804, 269, 1656, 538, 930, 2665, 267, 519, 1395, 810, 976, 941, 865, 3532, 602, 789, 10032, 7031, 267, 3056, 547, 454, 333, 5847, 547, 3548, 543, 1004, 1510, 6009, 602, 2356, 723, 8105, 607, 513, 2816, 563, 4263, 519, 1482, 942, 267, 519, 4049, 10980, 602, 16716, 3127, 1142, 5162, 1797, 602, 6705, 7048, 593, 519, 454, 3000, 810, 976, 585, 6683, 269, 1403, 1395, 810, 976, 9327, 1405, 10880, 3127, 267, 519, 4049, 10980, 1131, 1118, 621, 454, 11069, 6372, 585, 6705, 547, 798, 8105, 269, 1809, 519, 519, 10782, 3364, 568, 602, 519, 8105, 5498, 1783, 5673, 454, 14814, 569, 593, 950, 519, 30734, 16716, 267, 1317, 952, 621, 16716, 538, 5614, 610, 538, 2038, 4832, 267, 7031, 454, 15884, 581, 10032, 2094, 789, 2811, 711, 2944, 269, 2755, 952, 621, 16716, 538, 3735, 4832, 1131, 1291, 547, 513, 1390, 454, 322, 1886, 2914, 5793, 950, 519, 4430, 1216, 8952, 2244, 689, 15018, 267, 799, 5012, 547, 513, 21045, 540, 7031, 1141, 454, 15161, 666, 6133, 811, 543, 1205, 811, 2724, 267, 799, 2164, 538, 513, 3395, 4346, 563, 13070, 3472, 675, 4061, 3587, 513, 3787, 899, 13989, 267, 543, 849, 513, 851, 540, 741, 4984, 269, 4658, 723, 454, 326, 582, 19001, 585, 4764, 267, 855, 789, 1810, 1405, 1616, 547, 1454, 4764, 799, 568, 7543, 547, 1852, 269, 4658, 1616, 454, 1410, 18075, 519, 1318, 2179, 540, 1216, 585, 741, 7031, 547, 1332, 267, 855, 952, 519, 30734, 568, 1932, 3532, 789, 454, 17647, 547, 7227, 11489, 621, 1743, 625, 267, 799, 2306, 621, 899, 13989, 2094, 952, 789, 30889, 741, 7031, 538, 3735, 4832, 454, 663, 5230, 4764, 16716, 621, 267, 789, 7031, 616, 10032, 543, 789, 723, 547, 2699, 334, 519, 521, 12976, 563, 763, 1395, 810, 976, 849, 1860, 519, 4346, 543, 875, 6214, 568, 547, 581, 4646, 267, 2094, 4346, 4991, 454, 320, 26327, 950, 1004, 6336, 741, 6009, 543, 950, 6683, 568, 23696, 269, 769, 6214, 267, 789, 723, 547, 454, 29264, 875, 519, 30734, 5540, 519, 2197, 267, 799, 1797, 602, 789, 723, 547, 2015, 519, 2101, 454, 26920, 338, 540, 7972, 267, 875, 547, 25580, 3388, 602, 568, 10032, 543, 875, 547, 2061, 519, 9552, 538, 454, 296, 798, 1589, 602, 519, 3933, 22792, 568, 2942, 267, 1256, 1498, 519, 30734, 1522, 581, 1434, 585, 7031, 543, 454, 1721, 2470, 267, 594, 1810, 1405, 1589, 602, 2306, 909, 585, 3388, 602, 568, 4503, 950, 519, 30734, 16716, 269, 12280, 338, 2676, 335, 20191, 543, 1004, 9561, 741, 5321, 267, 543, 2094, 865, 1454, 568, 4503, 1282, 14700, 519, 31811, 454, 332, 755, 1942, 513, 2603, 540, 2724, 543, 7551, 3056, 547, 1004, 2921, 12029, 269, 1924, 950, 6683, 568, 2469, 454, 16591, 543, 1004, 6238, 15980, 2724, 1586, 267, 789, 1869, 723, 547, 2628, 585, 1018, 729, 4503, 4505, 269, 594, 1611, 454, 7474, 1256, 1498, 621, 4523, 547, 581, 2318, 2899, 267, 621, 1281, 711, 1118, 909, 585, 3388, 602, 568, 4503, 950, 454, 1492, 30734, 568, 2942, 269, 1809, 1004, 1869, 12034, 621, 607, 2318, 1317, 540, 519, 3665, 3002, 543, 10980, 454, 7474, 4386, 1282, 5162, 267, 865, 950, 519, 1101, 4764, 2501, 267, 1004, 616, 6126, 269, 1809, 2094, 4986, 1223, 454, 866, 306, 269, 5607, 3933, 22792, 269, 1325, 1068, 6339, 3820, 269, 1325, 1068, 6339, 281, 476, 2764, 454, 628, 540, 5181, 476, 1220, 279, 454, 628, 540, 5437, 476, 1001, 271, 269, 5291, 2517, 4178, 269, 531, 1068, 6339, 3820, 7933, 321, 11305, 5142, 529, 2889, 325, 3796, 270, 6347, 318, 300, 2177, 21867, 454, 2918, 18051, 476, 1001, 271, 476, 278, 454, 9915, 514, 6021, 320, 27692, 570, 903, 330, 581, 2944, 547, 1847, 3127, 2476, 689, 1141, 621, 781, 4092, 267, 972, 786, 1869, 581, 10980, 543, 5230, 4764, 269, 1809, 454, 4621, 18790, 519, 1249, 602, 3933, 810, 976, 723, 588, 4459, 523, 3127, 585, 7366, 540, 1296, 267, 972, 1058, 930, 454, 338, 1828, 547, 6175, 519, 9271, 1142, 1032, 269, 6270, 607, 14304, 2377, 1678, 906, 543, 21394, 547, 2061, 454, 3467, 14700, 1317, 540, 602, 563, 2918, 18051, 476, 1001, 271, 476, 279, 454, 9915, 514, 6021, 320, 27692, 570, 903, 330, 10390, 634, 3604, 543, 4128, 1946, 519, 3933, 810, 976, 538, 5607, 543, 2523, 3127, 1439, 909, 1373, 865, 454, 323, 652, 10614, 543, 5230, 568, 1317, 540, 1141, 3127, 568, 4092, 563, 19328, 814, 513, 1016, 9762, 5799, 267, 799, 1797, 602, 972, 568, 513, 2244, 2173, 817, 15198, 856, 538, 519, 5836, 689, 454, 1492, 11782, 269, 12791, 602, 3127, 568, 11303, 676, 5836, 1312, 538, 7178, 267, 5045, 543, 7532, 269, 1924, 1018, 454, 332, 1389, 3127, 1114, 568, 519, 1249, 602, 519, 2197, 568, 4092, 538, 519, 8668, 290, 313, 267, 799, 1797, 602, 519, 1858, 454, 1993, 5021, 3859, 8022, 543, 12798, 616, 4299, 676, 519, 28550, 540, 3047, 267, 543, 7551, 568, 4092, 538, 606, 454, 19327, 1141, 12798, 17176, 8846, 2429, 519, 1032, 267, 4611, 538, 2842, 10941, 1023, 610, 3933, 810, 976, 563, 15761, 3153, 3002, 543, 10980, 568, 849, 513, 851, 540, 2713, 538, 606, 8668, 290, 313, 563, 763, 8668, 290, 313, 7575, 5087, 543, 5045, 1282, 519, 1032, 267, 3001, 519, 1858, 540, 5021, 3859, 8022, 563, 7712, 1970, 2604, 630, 19327, 609, 1447, 2011, 2604, 982, 519, 4478, 2127, 264, 568, 2813, 950, 2011, 14380, 454, 16746, 547, 2901, 18651, 1206, 5870, 16550, 519, 15911, 4395, 547, 12740, 267, 610, 1317, 540, 3141, 13463, 908, 267, 12269, 616, 454, 11526, 950, 519, 2011, 10301, 519, 632, 342, 1448, 2837, 270, 1492, 15820, 941, 5848, 538, 2011, 7140, 883, 454, 11947, 2604, 630, 327, 27941, 2011, 2604, 982, 4478, 2127, 264, 593, 519, 824, 1688, 267, 568, 606, 1858, 609, 1100, 454, 743, 10796, 630, 18490, 547, 10980, 264, 1317, 2011, 568, 27312, 950, 621, 568, 22799, 1524, 543, 4061, 454, 5271, 8388, 919, 519, 1216, 547, 3154, 3056, 547, 1100, 12269, 563, 7628, 5162, 267, 519, 561, 3951, 290, 313, 568, 4092, 936, 519, 4095, 5836, 5045, 540, 3127, 630, 14683, 2604, 538, 3127, 1916, 2691, 3618, 1287, 21266, 1206, 538, 5614, 267, 519, 8668, 290, 313, 7575, 5087, 543, 646, 1846, 909, 3127, 2870, 1970, 2604, 454, 11004, 267, 12798, 9514, 338, 689, 1164, 2604, 10851, 547, 3160, 1125, 519, 2604, 269, 634, 1164, 2604, 568, 1631, 936, 454, 1492, 4095, 5836, 543, 519, 1970, 2604, 936, 3127, 267, 865, 519, 5848, 2011, 602, 729, 18493, 730, 936, 519, 454, 24465, 5836, 9514, 338, 547, 3127, 607, 4123, 12798, 269, 634, 5848, 2011, 568, 12699, 909, 676, 519, 3636, 2244, 538, 3127, 454, 663, 5230, 28681, 531, 4764, 4386, 609, 14700, 607, 1267, 268, 30734, 814, 1044, 2813, 563, 763, 22615, 28569, 849, 4229, 5848, 2011, 547, 4473, 2094, 12798, 666, 711, 9514, 998, 621, 267, 3056, 547, 5230, 454, 528, 4919, 11811, 936, 519, 22615, 28569, 602, 3123, 14700, 563, 3528, 2887, 267, 519, 8668, 290, 313, 7575, 5045, 1586, 543, 12798, 689, 5087, 9514, 338, 547, 519, 2813, 1970, 2604, 538, 454, 1492, 4095, 5836, 269, 1924, 2899, 1586, 267, 519, 5848, 12798, 9258, 543, 9514, 338, 936, 22615, 28569, 4929, 513, 454, 342, 5793, 15065, 22792, 267, 855, 568, 11074, 950, 519, 2011, 1784, 1742, 543, 568, 12699, 909, 267, 4429, 1862, 331, 7564, 338, 585, 1206, 7564, 1777, 940, 523, 1024, 558, 1140, 2845, 8615, 538, 2007, 563, 8469, 548, 916, 330, 777, 737, 337, 7564, 341, 338, 293, 23152, 1140 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 267, 1556, 267, 4029, 267, 3451, 267, 5655, 267, 7918, 267, 4200, 267, 1911, 267, 9340, 3910, 476, 271, 267, 476, 1911, 267, 476, 1015, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 306, 293, 815, 1239, 18134, 318, 31374, 314, 12901, 328, 303, 2639, 825, 1948, 24280, 21842, 305, 454, 825, 7117, 272, 815, 17093, 318, 306, 293, 9131, 333, 10179, 1807, 262, 4940, 31642, 850, 263, 271, 269, 1839, 264, 258, 304, 272, 454, 825, 7117, 274, 815, 17093, 318, 306, 293, 9131, 333, 10179, 1807, 262, 4940, 31642, 850, 263, 271, 269, 4037, 264, 258, 304, 274, 454, 825, 1775, 336, 337, 815, 17093, 318, 306, 293, 9131, 333, 10179, 1807, 262, 4940, 31642, 850, 263, 271, 269, 4037, 9984, 4206, 318, 306, 293, 9131, 333, 10179, 1807, 262, 4940, 31642, 850, 263, 271, 269, 1839, 264, 1948, 20412, 622, 21842, 305, 454, 825, 1948, 9773, 743, 622, 2539, 3970, 585, 856, 11502, 454, 825, 8899, 11073, 815, 7117, 272, 910, 476, 272, 269, 276, 2608, 1775, 336, 337, 1948, 12294, 3808, 454, 825, 1948, 24280, 5580, 3970, 585, 856, 11502, 454, 825, 4400, 11073, 815, 7117, 274, 1341, 476, 272, 269, 276, 2608, 1775, 336, 337, 1948, 21639, 3808, 454, 825, 1948, 10576, 782, 9343, 609, 1164, 543, 1970, 856, 11502, 3097, 825, 4934, 11502, 815, 17093, 318, 306, 293, 27007, 4206, 318, 306, 293, 9131, 333, 10179, 1807, 11172, 2999, 8899, 11073, 264, 1923, 630, 4206, 318, 306, 293, 9131, 333, 10179, 1807, 11172, 3436, 4400, 11073, 13580, 1948, 335, 6559, 630, 347, 264, 815, 10758, 454, 825, 1948, 12248, 1297, 540, 856, 11502, 543, 1820, 5048, 547, 1217, 519, 3593, 454, 825, 3143, 11073, 11502, 815, 7003, 263, 11073, 11502, 9131, 333, 10179, 1807, 262, 7481, 825, 12301, 269, 7901, 7120, 263, 11073, 11502, 8542, 10179, 1807, 264, 1948, 7120, 4216, 7120, 585, 856, 11502, 2483, 825, 13382, 4289, 284, 11073, 11502, 3820, 12173, 26509, 1664, 3890, 1948, 15073, 262, 270, 24610, 14672, 279, 7176, 5952, 20660, 12458, 660, 756, 7821, 781, 339, 2189, 2012, 540, 2853, 609, 13310, 856, 11502, 563, 825, 1948, 1607, 1592, 540, 4408, 666, 581, 1031, 547, 4729, 3466, 1775, 4318, 269, 519, 21370, 3252, 2919, 2630, 563, 825, 2132, 1820, 2891, 763, 954, 32483, 850, 2039, 24333, 1775, 336, 337, 267, 1412, 315, 333, 763, 2539, 10465, 585, 856, 11502, 568, 281, 3299, 8899, 11073, 267, 3097, 4449, 1412, 315, 333, 763, 5580, 10465, 585, 856, 11502, 568, 281, 3299, 4400, 11073, 267, 1412, 315, 333, 1607, 10471, 3568, 3299, 3143, 11073, 11502, 267, 3097, 4449, 1412, 11073, 11502, 267, 6719, 676, 519, 10580, 538, 519, 4216, 7120, 2630, 269, 3299, 3097, 4449, 1412, 315, 333, 1607, 568, 513, 1592, 540, 782, 519, 13382, 2853, 1141, 5307, 1470, 527, 322, 1095, 322, 761, 542, 2338, 723, 1044, 4857, 607, 856, 11502, 24097, 333, 22779, 4449, 13382, 4289, 994, 825, 12301, 20481, 3890, 3097, 8931, 3698, 18140, 4671, 516, 2738, 318, 718, 5334, 584, 21605, 16597, 2187, 825, 5727, 763, 1101, 4214, 2488, 519, 3593, 519, 2702, 547, 2070, 519, 3466, 1239, 585, 1169, 6391, 454, 5976, 514, 513, 1880, 10923, 1858, 27969, 454, 825, 2189, 318, 3073, 318, 1749, 815, 1239, 9131, 3073, 16182, 262, 4940, 684, 1664, 3890, 12361, 7476, 513, 1592, 540, 519, 23361, 692, 825, 4949, 815, 12301, 3052, 8619, 3890, 12361, 13729, 519, 9949, 7852, 585, 519, 3113, 692, 825, 585, 610, 7714, 16182, 538, 2189, 318, 3073, 318, 1749, 281, 12361, 2690, 1142, 6391, 538, 519, 1592, 540, 2189, 6391, 454, 1038, 1007, 12774, 18134, 815, 1239, 314, 11907, 9131, 3073, 16182, 11172, 2652, 1193, 263, 3073, 338, 16182, 13580, 12361, 7476, 513, 1007, 1239, 18134, 15410, 1175, 585, 519, 835, 6391, 3097, 1038, 3113, 318, 9557, 815, 1007, 12774, 18134, 314, 9131, 11845, 12887, 333, 10179, 1807, 11172, 316, 12361, 5804, 519, 1007, 1239, 18134, 267, 1205, 519, 4266, 543, 13310, 1297, 22562, 1038, 3113, 318, 9557, 19502, 3287, 8782, 11845, 3299, 344, 8782, 333, 10179, 1807, 3299, 4949, 815, 4949, 264, 12361, 5522, 582, 4266, 543, 1095, 18587, 593, 1482, 7852, 585, 782, 23361, 692, 825, 4949, 10947, 318, 5586, 754, 14061, 24525, 3890, 12361, 7230, 913, 10828, 689, 3113, 267, 607, 1360, 30255, 563, 825, 12301, 3052, 22396, 14061, 2246, 1993, 31198, 13448, 11845, 3890, 12361, 26705, 519, 1535, 14289, 585, 4266, 1239, 454, 825, 12301, 20481, 3890, 12361, 17004, 519, 4729, 22562, 3698, 18140, 4671, 516, 2738, 318, 18474, 1441, 5334, 584, 21605, 16597, 2187, 825, 5727, 1607, 1599, 2982, 519, 2040, 4364, 1095, 21564, 1344, 585, 1169, 6391, 1369, 519, 10923, 1858, 585, 454, 320, 1880, 4626, 788, 2002, 269, 901, 568, 10268, 689, 476, 1001, 275, 268, 1001, 280, 12163, 825, 2189, 5091, 622, 318, 1749, 815, 1239, 9131, 11845, 262, 4940, 684, 1664, 3890, 12361, 7476, 513, 1592, 540, 782, 519, 8989, 7389, 692, 825, 7389, 318, 9471, 815, 32582, 12361, 22873, 5573, 513, 1592, 585, 7389, 454, 825, 2040, 4364, 318, 9471, 815, 32582, 12361, 22873, 5573, 513, 1592, 547, 2040, 782, 1239, 585, 602, 4266, 692, 825, 585, 7389, 538, 2189, 5091, 622, 318, 1749, 912, 1038, 7389, 318, 9471, 6910, 5560, 919, 264, 12361, 7343, 754, 27952, 7389, 547, 4266, 318, 9471, 1592, 454, 1038, 1007, 12774, 18134, 815, 1239, 314, 11907, 9131, 11845, 11172, 2652, 7389, 316, 12361, 8138, 3553, 1239, 18134, 1175, 585, 27952, 4266, 454, 1038, 2040, 4364, 815, 1007, 12774, 18134, 9131, 333, 10179, 1807, 262, 4940, 8999, 3890, 12361, 11764, 519, 1095, 21564, 6241, 454, 1038, 2040, 4364, 318, 9471, 6910, 4433, 636, 4364, 264, 12361, 7343, 754, 519, 2040, 547, 519, 1592, 22562, 825, 1007, 32470, 815, 19073, 6185, 1092, 20988, 20719, 262, 11845, 318, 9471, 9166, 30098, 318, 9471, 10086, 8999, 4364, 318, 9471, 9166, 8999, 4364, 318, 9471, 16585, 12361, 31282, 8638, 883, 1239, 18134, 547, 2490, 883, 513, 3113, 692, 825, 1007, 32470, 19502, 3287, 815, 1412, 11845, 318, 9471, 3299, 586, 815, 1412, 8999, 4364, 318, 9471, 10807, 12361, 5522, 582, 1007, 3113, 692, 825, 12301, 3052, 22396, 14061, 2246, 1993, 31198, 13448, 11845, 3890, 12361, 26705, 4266, 7852, 454, 825, 12301, 20481, 3890, 12361, 17004, 519, 4729, 563, 8931, 3698, 18140, 4671, 516, 2738, 7272, 1157, 5334, 584, 21605, 16597, 267, 2012, 2187, 825, 5727, 1607, 1599, 2636, 519, 3593, 547, 1683, 519, 1239, 267, 543, 1683, 2901, 519, 2012, 610, 519, 9517, 454, 1993, 513, 6391, 267, 543, 1294, 519, 7678, 936, 942, 1175, 585, 602, 6391, 269, 901, 666, 581, 1031, 607, 606, 3329, 1049, 454, 339, 944, 883, 23361, 540, 1719, 630, 324, 3052, 856, 11502, 2020, 9616, 281, 4635, 13539, 4408, 616, 2013, 6213, 12163, 825, 952, 1239, 9131, 3073, 16182, 262, 4940, 1598, 269, 1742, 5976, 28442, 1040, 1415, 10031, 27030, 1038, 4949, 815, 12301, 3052, 8619, 3890, 12361, 13729, 519, 9949, 7852, 585, 519, 3113, 22562, 1038, 1007, 12774, 18134, 815, 1239, 314, 11907, 9131, 3073, 16182, 11172, 2652, 1193, 28442, 13580, 12361, 7476, 513, 1007, 1239, 18134, 15410, 1175, 585, 519, 835, 6391, 3097, 1038, 3113, 318, 9557, 815, 1007, 12774, 18134, 314, 9131, 11845, 12887, 333, 10179, 1807, 11172, 316, 12361, 5804, 519, 1007, 1239, 18134, 267, 1205, 519, 4266, 543, 13310, 1297, 22562, 1038, 3113, 318, 9557, 19502, 3287, 8782, 11845, 3299, 344, 8782, 333, 10179, 1807, 3299, 4949, 815, 4949, 264, 12361, 5522, 582, 4266, 543, 1095, 18587, 593, 1482, 7852, 585, 782, 23361, 692, 1038, 4949, 269, 5586, 754, 10857, 665, 815, 1412, 21639, 1318, 3299, 10297, 284, 2908, 12774, 18134, 269, 559, 665, 314, 271, 6012, 262, 3073, 16182, 262, 7481, 1038, 12301, 3052, 22396, 14061, 2246, 1993, 31198, 13448, 11845, 3890, 12361, 26705, 519, 1535, 14289, 585, 4266, 1239, 454, 1038, 12301, 20481, 3890, 12361, 17004, 519, 4729, 28329, 825, 8640, 1239, 9131, 3073, 12173, 262, 4940, 1598, 269, 1742, 5976, 28442, 1040, 1415, 10031, 13872, 1038, 4949, 815, 12301, 3052, 8619, 3890, 12361, 13729, 519, 9949, 7852, 585, 519, 3113, 22562, 1038, 1007, 12774, 18134, 815, 1239, 314, 11907, 9131, 3073, 12173, 11172, 2652, 1193, 28442, 13580, 12361, 7476, 513, 1007, 1239, 18134, 15410, 1175, 585, 519, 835, 6391, 3097, 1038, 3113, 318, 9557, 815, 1007, 12774, 18134, 314, 9131, 11845, 12887, 333, 10179, 1807, 11172, 316, 12361, 5804, 519, 1007, 1239, 18134, 267, 1205, 519, 4266, 543, 13310, 1297, 22562, 1038, 3113, 318, 9557, 19502, 3287, 8782, 11845, 3299, 344, 8782, 333, 10179, 1807, 3299, 4949, 815, 4949, 264, 12361, 5522, 582, 4266, 543, 1095, 18587, 593, 1482, 7852, 585, 782, 23361, 692, 1038, 4949, 269, 5586, 754, 10857, 665, 815, 1412, 21639, 1318, 3299, 10297, 284, 2908, 12774, 18134, 269, 559, 665, 314, 271, 6012, 262, 3073, 16182, 262, 7481, 1038, 12301, 3052, 22396, 14061, 2246, 1993, 31198, 13448, 11845, 3890, 12361, 26705, 519, 1535, 14289, 585, 4266, 1239, 454, 1038, 12301, 20481, 3890, 12361, 17004, 519, 4729, 28329, 13872, 825, 3116, 912, 1038, 1820, 3488, 27745, 711, 1265, 6391, 256, 5073, 13872, 3698, 18140, 4671, 516, 2738, 4671, 6851, 5334, 584, 21605, 318, 2421, 318, 31312, 16597, 267, 2012, 272, 267, 2012, 273, 2187, 825, 5727, 1607, 1599, 2636, 513, 3593, 547, 4584, 1022, 1079, 23361, 543, 4729, 519, 1095, 21564, 1344, 454, 517, 519, 1482, 7852, 585, 1312, 23361, 269, 901, 666, 581, 1031, 547, 2047, 5635, 519, 1095, 21564, 454, 15574, 585, 1312, 23361, 780, 3383, 2484, 267, 713, 1599, 1152, 1568, 609, 13539, 9517, 338, 543, 711, 13539, 4408, 27969, 454, 825, 952, 1239, 9131, 3073, 16182, 262, 4940, 1598, 269, 1742, 5976, 28442, 272, 1040, 1415, 3890, 1299, 1239, 9131, 3073, 16182, 262, 4940, 1598, 269, 1742, 5976, 28442, 273, 1040, 1415, 10031, 8931, 1038, 4949, 815, 12301, 3052, 8619, 3890, 12361, 13729, 519, 9949, 7852, 585, 519, 3113, 692, 1038, 585, 1079, 16182, 538, 2012, 272, 267, 2012, 273, 281, 12361, 2690, 1142, 6391, 538, 519, 1592, 540, 2189, 6391, 454, 2018, 1007, 12774, 18134, 815, 1239, 314, 11907, 9131, 3073, 16182, 11172, 2652, 1193, 6025, 6851, 16182, 13580, 12361, 7476, 513, 1007, 1239, 18134, 15410, 1175, 585, 519, 835, 6391, 3097, 2018, 3113, 318, 9557, 815, 1007, 12774, 18134, 314, 9131, 11845, 12887, 333, 10179, 1807, 11172, 316, 12361, 5804, 519, 1007, 1239, 18134, 267, 1205, 519, 4266, 543, 13310, 1297, 22562, 2018, 3113, 318, 9557, 19502, 3287, 8782, 11845, 3299, 344, 8782, 333, 10179, 1807, 3299, 4949, 815, 4949, 264, 12361, 5522, 582, 4266, 543, 1095, 18587, 593, 1482, 7852, 585, 782, 23361, 692, 1038, 1007, 12774, 18134, 272, 815, 1239, 314, 11907, 9131, 3073, 16182, 11172, 2652, 1193, 28442, 272, 13580, 12361, 7476, 513, 1007, 1239, 18134, 15410, 1175, 585, 519, 835, 6391, 3097, 1038, 10828, 318, 9557, 272, 815, 1007, 12774, 18134, 272, 314, 9131, 3073, 16182, 12887, 3073, 12173, 11172, 316, 12361, 5804, 519, 1007, 1239, 18134, 267, 1205, 519, 4266, 543, 13310, 1297, 28329, 1038, 1007, 12774, 18134, 273, 815, 1239, 314, 11907, 9131, 3073, 16182, 11172, 2652, 1193, 28442, 273, 13580, 12361, 7476, 513, 1007, 1239, 18134, 15410, 1175, 585, 519, 835, 6391, 3097, 1038, 10828, 318, 9557, 273, 815, 1007, 12774, 18134, 273, 314, 9131, 3073, 16182, 12887, 3073, 12173, 11172, 316, 12361, 5804, 519, 1007, 1239, 18134, 267, 1205, 519, 4266, 543, 13310, 1297, 454, 4449, 454, 1038, 10828, 4067, 272, 815, 10828, 318, 9557, 272, 269, 559, 665, 314, 271, 6012, 262, 3073, 16182, 11172, 1341, 22207, 1412, 1341, 10828, 318, 9557, 272, 269, 559, 665, 314, 271, 6012, 262, 3073, 12173, 23300, 1038, 10828, 4067, 273, 815, 10828, 318, 9557, 273, 269, 559, 665, 314, 271, 6012, 262, 3073, 16182, 11172, 1341, 22207, 1412, 1341, 10828, 318, 9557, 273, 269, 559, 665, 314, 271, 6012, 262, 3073, 12173, 23300, 13872, 1038, 4949, 269, 5586, 754, 10857, 665, 8782, 21639, 4099, 3299, 536, 7901, 15461, 318, 21123, 528, 14352, 271, 269, 276, 267, 476, 272, 269, 273, 1070, 10297, 14352, 5586, 754, 4067, 272, 267, 10828, 4067, 273, 4917, 1038, 12301, 3052, 22396, 14061, 2246, 1993, 31198, 13448, 11845, 3890, 12361, 26705, 519, 1535, 14289, 585, 4266, 1239, 454, 1038, 12301, 20481, 3890, 12361, 17004, 519, 4729, 22562, 825, 3116, 912, 1038, 1820, 3488, 3080, 540, 519, 6391, 9517, 338, 568, 11234, 256, 10807, 13872, 672, 0, 258, 2414, 9414, 1114, 1305, 4238, 454, 258, 3698, 1456, 5036, 692, 292, 815, 2715, 271, 267, 273, 267, 275, 267, 277, 267, 279, 348, 3248, 301, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 267, 276, 348, 16963, 258, 3553, 9769, 454, 2745, 2891, 4462, 542, 540, 661, 993, 323, 715, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 603, 571, 267, 1634, 607, 631, 603, 6652, 547, 519, 14564, 267, 729, 8385, 513, 14655, 5601, 540, 519, 3141, 269, 2311, 519, 4098, 540, 942, 631, 603, 6652, 1185, 14894, 539, 519, 26704, 1390, 13032, 689, 519, 1560, 540, 799, 2095, 539, 519, 1973, 799, 5795, 1272, 547, 3618, 269, 2060, 519, 14564, 631, 603, 6652, 2968, 519, 5601, 540, 15438, 267, 5126, 543, 11731, 269, 1261, 568, 513, 25976, 3226, 7957, 10696, 676, 7980, 267, 945, 941, 3808, 538, 14017, 547, 741, 17710, 543, 568, 1419, 4330, 607, 519, 17199, 5601, 563, 307, 655, 1255, 540, 631, 603, 6652, 616, 3141, 330, 2630, 2666, 543, 6885, 1652, 267, 8204, 519, 13946, 547, 799, 631, 603, 6652, 5645, 543, 1287, 7166, 519, 13032, 269, 1358, 616, 4122, 4092, 2673, 547, 20950, 610, 12535, 607, 4195, 1216, 568, 2838, 585, 930, 631, 603, 571, 545, 12738, 267, 543, 513, 16935, 568, 1419, 11368, 883, 519, 2497, 563, 12988, 547, 1546, 28262, 630, 294, 16104, 264, 0, 2690, 5756, 972, 723, 1044, 14565, 267, 1141, 1004, 689, 14547, 2477, 2285, 2576, 513, 10516, 540, 513, 10516, 585, 1346, 11992, 269, 769, 1034, 2665, 267, 519, 10516, 568, 513, 23820, 610, 10800, 547, 513, 1920, 2713, 538, 835, 540, 519, 30529, 2477, 593, 3618, 563, 1103, 3069, 267, 713, 568, 513, 17681, 2856, 269, 634, 1920, 568, 1732, 1055, 543, 1134, 10480, 269, 769, 2259, 621, 4667, 602, 621, 666, 1419, 798, 811, 2800, 982, 1434, 563, 1103, 1082, 540, 519, 2127, 602, 891, 13184, 616, 2366, 267, 972, 568, 2370, 1216, 269, 1452, 13184, 991, 513, 2603, 540, 1216, 267, 865, 741, 4367, 666, 3533, 1689, 519, 1216, 3666, 538, 519, 1858, 267, 543, 7903, 621, 2509, 9390, 563, 27269, 519, 3662, 3112, 581, 1336, 2614, 1426, 610, 4235, 267, 543, 16943, 1416, 568, 4625, 7508, 563, 28074, 811, 3730, 568, 547, 1489, 6079, 32387, 267, 1216, 12555, 1949, 543, 3037, 20344, 269, 2755, 891, 798, 711, 3132, 519, 6653, 4605, 267, 789, 616, 2693, 547, 4324, 7366, 540, 1004, 2864, 982, 835, 1920, 267, 543, 1419, 585, 5756, 547, 2097, 563, 6546, 568, 711, 547, 2161, 23820, 13344, 616, 24631, 267, 538, 4025, 609, 7899, 540, 1216, 267, 789, 666, 3132, 5144, 543, 5779, 267, 543, 666, 849, 723, 476, 277, 3214, 513, 1032, 799, 666, 581, 4421, 269, 589, 23820, 10516, 538, 519, 4636, 1747, 568, 8338, 982, 24631, 563, 24109, 753, 616, 10172, 1071, 273, 543, 824, 8337, 9362, 547, 519, 5790, 693, 606, 2810, 2557, 998, 938, 2238, 563, 28074, 540, 891, 8337, 9362, 2097, 689, 2951, 267, 1498, 538, 519, 1279, 3856, 713, 786, 581, 3648, 4389, 267, 676, 18546, 2305, 563, 8448, 2238, 2408, 9875, 547, 2569, 5434, 269, 2290, 971, 1858, 568, 8105, 269, 1703, 616, 782, 12204, 540, 2152, 538, 8105, 267, 855, 607, 2484, 607, 5434, 616, 7255, 713, 3390, 267, 568, 15655, 267, 799, 2501, 689, 519, 2831, 630, 24207, 569, 16933, 8840, 2842, 1916, 5472, 12204, 540, 3435, 723, 1044, 6700, 267, 1519, 17501, 16933, 609, 513, 3926, 547, 4558, 519, 9362, 585, 946, 2663, 630, 17141, 26151, 585, 8022, 1916, 4913, 267, 513, 2487, 1353, 814, 6700, 513, 3209, 3070, 269, 1358, 1336, 676, 4946, 513, 1507, 2179, 540, 32420, 630, 19925, 476, 273, 260, 540, 4320, 264, 883, 519, 12418, 3049, 267, 666, 2569, 519, 3154, 5137, 538, 741, 7181, 676, 607, 1454, 607, 476, 3583, 18336, 1607, 1131, 581, 513, 5266, 10464, 3070, 267, 602, 666, 2759, 8105, 5434, 13497, 267, 543, 5732, 8591, 606, 2872, 585, 9381, 2950, 607, 1134, 269, 898, 568, 849, 2693, 2484, 12863, 543, 14949, 982, 6705, 3843, 547, 2445, 519, 3154, 585, 2104, 946, 563, 18250, 18496, 779, 814, 1500, 513, 2462, 3390, 856, 540, 519, 1249, 602, 789, 616, 1100, 3476, 9140, 14132, 689, 32312, 807, 269, 594, 4628, 29343, 540, 713, 1847, 267, 855, 621, 5526, 602, 789, 616, 1631, 1104, 532, 1804, 9424, 540, 13386, 6738, 538, 519, 8835, 267, 543, 1869, 8506, 17717, 563, 295, 4007, 1395, 665, 11857, 540, 13386, 267, 616, 607, 14124, 630, 335, 1601, 4601, 811, 264, 982, 12418, 10443, 4221, 267, 607, 10443, 2583, 1419, 11677, 1507, 22836, 540, 4104, 543, 1367, 4054, 267, 865, 1247, 1034, 540, 519, 7320, 568, 4503, 267, 609, 13386, 24873, 12303, 782, 922, 4503, 563, 296, 993, 2386, 26818, 18496, 779, 17358, 602, 3703, 1004, 723, 606, 3390, 609, 17717, 267, 711, 609, 14132, 10443, 4221, 269, 14568, 5079, 1590, 581, 1500, 269, 1284, 1590, 782, 1118, 6846, 543, 29153, 827, 713, 896, 8518, 7180, 268, 543, 3196, 873, 547, 2087, 741, 7180, 267, 952, 713, 3085, 1406, 960, 267, 7911, 20799, 1154, 741, 14060, 1522, 581, 519, 1152, 1259, 547, 3247, 3352, 269, 0, 309, 1115, 616, 1031, 547, 7231, 609, 782, 5686, 540, 1093, 334, 267, 855, 3043, 31997, 568, 835, 540, 519, 4686, 560, 256, 898, 779, 3833, 8966, 585, 1093, 334, 547, 581, 1360, 12779, 610, 3043, 267, 855, 972, 616, 513, 1906, 1114, 1919, 602, 666, 2014, 707, 21937, 779, 1093, 334, 547, 581, 3043, 563, 12749, 15486, 540, 6519, 7313, 3591, 609, 28523, 625, 454, 291, 9233, 630, 663, 29067, 14386, 10480, 513, 2732, 1932, 1164, 538, 7513, 1107, 2356, 689, 7633, 1107, 666, 3132, 3043, 267, 25879, 344, 3168, 1093, 334, 269, 901, 568, 5631, 2938, 538, 5243, 10480, 513, 6151, 2732, 5627, 513, 2603, 540, 7633, 269, 2755, 7633, 666, 6157, 1683, 1390, 5567, 267, 8023, 873, 13514, 4220, 1519, 3441, 547, 519, 8937, 610, 1256, 31432, 566, 1813, 547, 10943, 842, 1229, 7633, 267, 610, 25518, 952, 519, 7633, 616, 1932, 1804, 950, 15179, 539, 563, 2252, 707, 7782, 568, 1762, 267, 8023, 513, 2732, 29979, 609, 1932, 1082, 7633, 949, 849, 3111, 547, 1683, 519, 1318, 3666, 540, 5567, 1107, 519, 5223, 540, 1114, 6886, 899, 7513, 543, 16903, 568, 2565, 547, 707, 21937, 779, 5642, 1646, 543, 1072, 269, 2755, 811, 7513, 1522, 3100, 1434, 267, 602, 779, 711, 2141, 519, 2013, 563, 2252, 596, 2461, 7255, 827, 707, 2915, 779, 2732, 649, 4363, 6340, 547, 707, 17022, 1107, 855, 952, 538, 8969, 267, 513, 21937, 1426, 602, 779, 1044, 19775, 585, 3395, 5243, 568, 519, 32343, 4781, 563, 2252, 596, 2461, 711, 6005, 2370, 11353, 540, 3043, 1570, 267, 899, 9274, 540, 7573, 267, 538, 707, 21937, 779, 1093, 334, 267, 596, 1522, 581, 3168, 693, 11746, 11988, 12415, 269, 1452, 15495, 2661, 538, 519, 8937, 543, 8774, 883, 707, 2915, 779, 28797, 547, 3468, 824, 5243, 1107, 543, 3425, 256, 769, 4049, 2665, 267, 596, 949, 5469, 2597, 2530, 543, 824, 11528, 4191, 607, 519, 11746, 19095, 2061, 707, 21937, 21716, 5567, 269, 898, 779, 1271, 547, 2259, 1434, 9882, 543, 1832, 707, 21937, 909, 547, 4266, 593, 741, 702, 2719, 5574, 1107, 513, 702, 1067, 1169, 476, 274, 268, 277, 3275, 269, 6258, 811, 827, 11746, 19095, 538, 21937, 779, 31997, 563, 5649, 811, 827, 17494, 538, 21937, 779, 31997, 610, 11746, 19095, 538, 21937, 779, 31997, 563, 274, 269, 20506, 610, 25524, 2152, 454, 15987, 649, 1810, 1406, 2356, 1589, 540, 1762, 5243, 1373, 4299, 676, 891, 2175, 267, 972, 616, 1896, 2010, 540, 6797, 543, 25524, 2068, 602, 666, 2014, 3043, 1093, 334, 538, 1762, 5243, 563, 310, 2969, 6224, 281, 476, 274, 12830, 9669, 1677, 5516, 1280, 606, 6196, 13928, 1496, 309, 4953, 966, 22432, 302, 2639, 3080, 540, 891, 568, 1401, 18355, 623, 4545, 805, 545, 6184, 340, 11797, 630, 7968, 296, 1040, 18748, 539, 5243, 3111, 547, 3132, 2614, 25524, 9667, 11476, 267, 3056, 547, 4057, 8770, 10338, 609, 2597, 2530, 267, 13165, 543, 824, 2589, 267, 1519, 12779, 267, 10036, 11954, 1093, 334, 563, 5194, 2783, 602, 666, 2014, 3043, 1093, 334, 568, 513, 3668, 540, 23925, 269, 645, 850, 568, 513, 4158, 5835, 20119, 3812, 676, 519, 6797, 543, 6740, 538, 519, 7086, 15485, 269, 898, 779, 1898, 585, 12536, 269, 17268, 949, 3668, 23925, 23416, 538, 741, 1093, 334, 952, 789, 616, 7092, 689, 4049, 6797, 2068, 610, 513, 31797, 540, 741, 23925, 28954, 269, 1452, 616, 3978, 2564, 2152, 543, 707, 2915, 1131, 581, 2693, 547, 723, 513, 2039, 540, 824, 2589, 1932, 269, 1403, 596, 2461, 14126, 267, 621, 779, 2141, 1655, 547, 3717, 547, 707, 17022, 563, 275, 269, 645, 10740, 15179, 454, 2252, 707, 21937, 814, 1185, 16063, 2152, 267, 707, 17022, 949, 723, 5227, 513, 536, 10740, 15179, 269, 645, 10740, 568, 513, 5394, 3043, 5277, 602, 666, 581, 10480, 547, 707, 21937, 1175, 1354, 2921, 1535, 17530, 547, 1683, 1732, 2592, 540, 519, 8937, 269, 898, 779, 1875, 3562, 13877, 543, 10596, 2786, 998, 1107, 865, 585, 519, 1985, 7008, 540, 2395, 267, 596, 949, 5469, 3043, 1093, 334, 269, 901, 568, 4986, 547, 5855, 827, 952, 707, 2915, 814, 1175, 1185, 713, 5650, 563, 2691, 568, 3043, 31997, 538, 513, 21937, 711, 513, 2601, 585, 6161, 888, 2252, 707, 21937, 779, 1093, 334, 568, 711, 4628, 3043, 543, 3079, 3274, 814, 513, 3043, 22024, 4494, 8720, 621, 267, 713, 568, 513, 1455, 10835, 540, 897, 4345, 269, 1403, 707, 2915, 568, 6382, 1134, 543, 814, 1152, 1185, 476, 272, 268, 273, 2395, 540, 7646, 13165, 267, 713, 3884, 1406, 2356, 1945, 547, 5855, 827, 267, 8259, 707, 21937, 568, 1360, 1762, 269, 1403, 519, 13165, 568, 811, 4049, 610, 972, 616, 1022, 824, 2589, 267, 8258, 707, 17022, 585, 5796, 563, 1432, 547, 798, 952, 707, 21937, 1175, 1093, 25660, 3043, 2336, 2252, 596, 1589, 519, 3043, 1093, 334, 1522, 581, 1813, 547, 15495, 267, 2119, 1210, 513, 21937, 1606, 12522, 702, 1067, 269, 28423, 547, 707, 17022, 952, 596, 2461, 711, 2386, 799, 835, 547, 946, 563, 2252, 596, 1589, 621, 1522, 581, 2732, 1644, 267, 2119, 943, 2084, 856, 7633, 543, 28006, 547, 513, 7059, 2732, 19775, 585, 29067, 610, 1762, 5243, 563, 2252, 707, 21937, 568, 6029, 824, 2589, 610, 4191, 540, 4576, 267, 610, 952, 596, 2461, 14126, 585, 1022, 2601, 267, 3717, 547, 707, 17022, 610, 1224, 811, 827, 3043, 1093, 334, 538, 5243, 563, 6826, 519, 1101, 547, 6085, 0, 306, 4456, 12195, 5058, 6730, 29332, 7495, 14408, 293, 4953, 312, 454, 1103, 8876, 856, 1426, 4152, 547, 12446, 693, 2048, 338, 12522, 685, 610, 2048, 12584, 12522, 8730, 10386, 1590, 581, 2944, 269, 898, 568, 519, 2179, 540, 4674, 18611, 538, 10386, 543, 3732, 7041, 602, 11887, 519, 10727, 540, 1449, 1267, 269, 8771, 2318, 610, 7301, 2942, 949, 581, 8452, 693, 952, 10386, 568, 711, 5265, 2944, 269, 901, 949, 1291, 547, 2530, 540, 2724, 16539, 538, 519, 2504, 543, 8699, 270, 16591, 786, 269, 634, 8545, 949, 711, 3362, 581, 16626, 936, 942, 454, 306, 3263, 1590, 581, 11724, 894, 594, 552, 23496, 4630, 23189, 454, 28444, 1005, 3448, 2450, 540, 3732, 547, 581, 3144, 454, 9824, 6636, 543, 5497, 946, 540, 4397, 1267, 454, 763, 1239, 3893, 949, 581, 4294, 538, 519, 1739, 454, 288, 2978, 2454, 10421, 454, 289, 22059, 540, 10220, 609, 7150, 4441, 454, 290, 5464, 2504, 607, 851, 540, 670, 3722, 9573, 454, 291, 6296, 2298, 1852, 454, 1015, 5412, 267, 476, 1708, 273, 454, 32306, 513, 31400, 23763, 547, 6443, 519, 4901, 888, 8722, 601, 1863, 547, 3565, 256, 0, 11386, 13192, 25957, 630, 294, 9573, 1070, 3246, 513, 3126, 540, 6531, 7384, 2533, 267, 568, 513, 3070, 3760, 13324, 676, 519, 1482, 5989, 1031, 676, 5616, 3294, 24323, 269, 717, 9573, 267, 1927, 609, 24904, 267, 5616, 24630, 267, 717, 2672, 924, 267, 543, 865, 593, 267, 616, 3769, 538, 519, 5616, 13192, 267, 799, 568, 513, 851, 540, 519, 6626, 5616, 5117, 563, 18455, 3532, 267, 12001, 267, 543, 6075, 25700, 267, 717, 9573, 24643, 513, 2603, 540, 3549, 602, 3343, 585, 5150, 543, 3608, 6531, 3435, 269, 634, 7384, 3435, 6462, 676, 717, 9573, 666, 581, 19040, 1759, 593, 1614, 4295, 2934, 281, 5989, 630, 296, 30962, 1070, 3760, 630, 303, 30962, 1070, 543, 3301, 630, 306, 30962, 1040, 1656, 5616, 814, 2919, 1896, 3102, 2228, 6030, 602, 616, 2139, 593, 595, 2293, 5028, 585, 14987, 547, 723, 606, 7650, 1620, 540, 717, 9573, 2497, 543, 3946, 6823, 2978, 1995, 593, 2596, 3384, 1983, 607, 1134, 269, 2991, 1582, 24713, 3539, 519, 1101, 1079, 2606, 6030, 593, 5616, 13192, 5989, 827, 5748, 543, 4295, 2533 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1403, 519, 1101, 1560, 24643, 1109, 1492, 2034, 1560, 609, 3196, 674, 630, 323, 3925, 540, 3196, 689, 519, 2034, 1560, 547, 519, 1101, 1560, 1070, 1287, 519, 2034, 1560, 24643, 519, 1101, 1560, 609, 3160, 3196, 674, 1109, 630, 323, 3925, 540, 3196, 689, 519, 1101, 1560, 547, 519, 2034, 1560, 1916, 1892, 634, 14965, 3196, 1063, 1079, 13999, 568, 2141, 9117, 2059, 519, 1899, 11836, 519, 8998, 540, 519, 1079, 13999, 269, 9747, 621, 568, 513, 3844, 3196, 563, 1892, 634, 14965, 3196, 1063, 1079, 13999, 568, 4830, 540, 519, 5420, 1063, 519, 1079, 13999, 269, 898, 1797, 519, 14965, 3196, 1063, 1079, 13999, 568, 1482, 950, 789, 616, 6854, 538, 513, 12511, 610, 538, 1216, 610, 538, 519, 2011, 269, 901, 1249, 3652, 856, 519, 7872, 540, 1818, 8904, 13819, 563, 1892, 634, 14965, 3196, 1063, 1079, 13999, 568, 4830, 540, 741, 7306, 610, 3892, 540, 2527, 540, 519, 4703, 563, 1892, 634, 14965, 3196, 1063, 1079, 4703, 1281, 711, 4096, 2390, 519, 4527, 610, 519, 9000, 540, 824, 4703, 563, 1892, 1403, 519, 13999, 540, 519, 1560, 616, 1507, 267, 519, 14965, 3196, 1063, 873, 568, 30050, 269, 1403, 519, 13999, 616, 1804, 899, 602, 540, 519, 3141, 543, 519, 3618, 267, 519, 14965, 3196, 540, 16007, 568, 9645, 563, 1892, 634, 14965, 3196, 1063, 1079, 4703, 568, 1572, 2962, 1107, 693, 1107, 513, 3845, 1826, 540, 5872, 267, 1317, 519, 1079, 5536, 2170, 1256, 1498, 789, 616, 711, 538, 3346, 609, 1142, 824, 269, 4935, 14965, 3196, 568, 513, 1875, 9762, 716, 3196, 563, 1892, 3400, 13901, 3196, 568, 513, 15061, 3196, 1317, 519, 960, 2944, 676, 519, 14965, 3196, 568, 4830, 540, 519, 2619, 1063, 3355, 543, 3803, 2990, 780, 2971, 634, 5203, 1275, 540, 13053, 779, 4521, 540, 3400, 341, 2787, 1384, 1892, 13053, 779, 1876, 540, 28040, 2787, 568, 849, 1572, 607, 519, 8471, 1876, 540, 28040, 2787, 1317, 454, 1892, 898, 568, 10858, 547, 782, 1570, 4703, 28000, 540, 741, 7306, 269, 898, 568, 10858, 547, 1360, 8792, 5536, 899, 8444, 267, 9211, 693, 519, 1482, 942, 621, 568, 10858, 547, 31676, 4703, 899, 10785, 267, 6801, 3092, 563, 1892, 634, 1876, 568, 10858, 547, 782, 1570, 4703, 28000, 540, 519, 3845, 1063, 873, 269, 898, 568, 10858, 547, 954, 30061, 9883, 693, 519, 1482, 942, 621, 568, 10858, 547, 24974, 9883, 1775, 4318, 269, 519, 3845, 1063, 6801, 780, 2971, 15845, 25417, 13053, 779, 4521, 540, 3400, 341, 2787, 1384, 1892, 634, 3047, 7575, 1472, 519, 6129, 896, 519, 14965, 3310, 540, 519, 6129, 593, 519, 3047, 563, 1892, 634, 9855, 7575, 1472, 519, 3047, 896, 519, 14965, 3310, 540, 519, 3047, 593, 519, 9855, 563, 1892, 634, 1164, 20352, 543, 1970, 20352, 616, 3361, 1813, 547, 519, 14965, 3310, 540, 519, 9855, 593, 519, 3047, 563, 1892, 634, 2053, 540, 30803, 17772, 2354, 525, 543, 9891, 17772, 2354, 525, 7229, 593, 519, 4493, 540, 13053, 779, 1876, 540, 28040, 2787, 616, 1336, 547, 581, 5111, 2953, 780, 2971, 590, 15660, 269, 5149, 540, 717, 1384, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 763, 16038, 1770, 540, 3586, 540, 28040, 2787, 568, 715, 544, 273, 4846, 268, 273, 30548, 524, 3052, 4732, 269, 1770, 568, 10085, 928, 4699, 273, 575, 268, 273, 16317, 2971, 17435, 5014, 540, 717, 1384, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 17798, 519, 7516, 540, 8471, 28040, 2787, 3586, 616, 1496, 300, 268, 272, 700, 274, 570, 268, 273, 6540, 2971, 9502, 540, 717, 1384, 1892, 634, 14965, 3196, 1063, 1079, 1448, 13999, 2048, 332, 272, 685, 543, 2048, 332, 273, 685, 9674, 676, 3845, 2048, 337, 282, 568, 2016, 676, 692, 4131, 678, 815, 476, 272, 1770, 267, 544, 272, 815, 544, 273, 815, 476, 272, 1770, 267, 1287, 717, 815, 674, 692, 1892, 9747, 267, 519, 8471, 14965, 3586, 568, 519, 10230, 1871, 540, 519, 3196, 1063, 1079, 1770, 13999, 6854, 693, 513, 1770, 3845, 689, 1142, 824, 563, 1892, 634, 1871, 540, 717, 568, 1360, 1507, 543, 14965, 4229, 616, 1507, 8259, 519, 13999, 540, 519, 1079, 19788, 4703, 616, 1804, 563, 1892, 1403, 519, 1871, 540, 717, 3587, 476, 1911, 2053, 922, 1459, 1871, 267, 1287, 1109, 1492, 3618, 779, 16007, 1131, 581, 865, 1804, 602, 649, 1131, 581, 16760, 547, 519, 3618, 563, 1892, 1403, 519, 1871, 540, 717, 3587, 476, 272, 270, 1911, 2053, 922, 1459, 1871, 267, 1287, 649, 1131, 581, 2111, 547, 7914, 689, 513, 3818, 3613, 800, 2679, 780, 2162, 10819, 9122, 593, 1109, 6124, 2023, 779, 4521, 540, 3400, 341, 2787, 1384, 2971, 7151, 1107, 476, 272, 1384, 1892, 12433, 519, 3196, 540, 16007, 1063, 1079, 4496, 21384, 1142, 540, 2527, 476, 3445, 4846, 267, 952, 519, 3845, 1063, 741, 18013, 568, 476, 2412, 4699, 269, 9717, 717, 815, 476, 277, 269, 6858, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 1547, 4024, 519, 3196, 540, 16007, 581, 1114, 952, 519, 1482, 4703, 616, 3144, 593, 519, 7599, 267, 741, 9668, 6967, 519, 1482, 888, 1892, 8827, 912, 1892, 9717, 281, 7136, 540, 1101, 1560, 815, 544, 272, 815, 476, 3445, 4846, 267, 2527, 540, 2034, 1560, 815, 544, 273, 815, 476, 3445, 4846, 267, 20028, 1063, 13999, 815, 678, 815, 476, 2412, 4699, 815, 476, 2412, 1109, 343, 476, 1015, 268, 273, 544, 267, 717, 815, 476, 277, 269, 6858, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 4586, 1892, 1677, 4855, 281, 10414, 540, 16007, 815, 674, 815, 2496, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 1892, 1403, 519, 1482, 4703, 616, 3144, 593, 519, 7599, 267, 741, 9668, 6967, 519, 1482, 267, 519, 3196, 540, 16007, 1063, 519, 1079, 4703, 786, 2611, 519, 1482, 267, 1317, 519, 3196, 540, 16007, 1063, 1079, 4703, 568, 19448, 26327, 676, 519, 4527, 540, 519, 3791, 1560, 543, 5420, 1063, 519, 1079, 4703, 780, 9172, 281, 634, 3196, 540, 16007, 1063, 1079, 4496, 21384, 568, 476, 274, 269, 4391, 278, 1535, 476, 1015, 268, 277, 715, 692, 763, 3196, 540, 16007, 1063, 1079, 4703, 3788, 519, 1482, 692, 2971, 7151, 1107, 476, 273, 1384, 1892, 4855, 519, 14965, 3196, 540, 16007, 1063, 519, 7599, 543, 519, 3618, 952, 519, 2527, 540, 519, 7599, 568, 476, 272, 270, 10037, 2053, 519, 2527, 540, 3618, 269, 717, 815, 476, 277, 269, 6858, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 2073, 8953, 540, 7599, 779, 10739, 568, 476, 274, 269, 6812, 1535, 476, 10755, 5998, 269, 7136, 540, 519, 3618, 815, 476, 277, 1535, 476, 9083, 275, 918, 326, 563, 1892, 8827, 912, 1892, 9717, 281, 7136, 540, 9855, 815, 1109, 476, 272, 270, 10037, 2053, 519, 2527, 540, 3618, 267, 1109, 332, 284, 476, 272, 270, 10037, 803, 2073, 291, 2700, 1063, 519, 7599, 543, 3618, 1109, 815, 678, 815, 1109, 274, 269, 6812, 1535, 476, 10755, 5998, 815, 476, 274, 269, 6812, 1535, 476, 10482, 544, 267, 717, 815, 476, 277, 269, 6858, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 1547, 7136, 540, 3618, 815, 2725, 815, 1109, 277, 1535, 476, 9083, 275, 918, 326, 454, 1892, 1677, 4855, 281, 10414, 540, 16007, 815, 674, 815, 2496, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 9172, 281, 634, 14965, 3196, 540, 16007, 1063, 519, 7599, 543, 519, 3618, 568, 476, 273, 269, 22659, 1535, 476, 9083, 271, 715, 692, 293, 815, 4165, 559, 690, 630, 273, 269, 23884, 276, 1107, 630, 274, 1341, 476, 271, 269, 28318, 274, 4297, 1535, 476, 9083, 272, 692, 293, 815, 4165, 559, 690, 630, 273, 269, 23884, 276, 1341, 1109, 274, 1107, 476, 271, 269, 28318, 274, 4297, 1535, 476, 9083, 272, 692, 293, 815, 4165, 559, 690, 630, 273, 269, 3607, 275, 273, 1341, 1109, 274, 264, 1535, 476, 9083, 272, 1109, 1109, 284, 4165, 559, 690, 630, 272, 269, 3607, 275, 273, 264, 1535, 476, 9083, 272, 692, 293, 815, 476, 273, 269, 27183, 1535, 476, 1015, 268, 272, 1535, 476, 9083, 272, 1109, 284, 476, 273, 269, 27183, 1535, 476, 9083, 271, 692, 2971, 7151, 1107, 476, 274, 1384, 1892, 5565, 4703, 540, 13999, 476, 276, 4846, 543, 476, 277, 1535, 476, 9083, 275, 4846, 616, 5116, 609, 741, 18013, 476, 277, 269, 275, 1535, 476, 11793, 544, 6306, 269, 12433, 519, 3196, 540, 16007, 1063, 519, 1079, 13999, 269, 4746, 1265, 519, 3355, 10231, 540, 1079, 13999, 14322, 1100, 824, 4229, 957, 593, 873, 563, 1892, 8827, 912, 1892, 9717, 281, 1109, 22709, 540, 1101, 1560, 815, 544, 272, 815, 476, 276, 4846, 267, 2527, 540, 2034, 1560, 815, 544, 273, 815, 1109, 277, 1535, 476, 9083, 275, 4846, 267, 20028, 1063, 13999, 815, 678, 815, 1109, 1109, 277, 269, 275, 1535, 476, 11793, 544, 267, 717, 815, 476, 277, 269, 6858, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 4586, 1892, 1677, 4855, 281, 1109, 2690, 576, 540, 16007, 1063, 1079, 13999, 815, 674, 815, 7790, 267, 19461, 5787, 725, 540, 519, 1079, 13999, 815, 2496, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 1892, 19461, 10231, 540, 1560, 540, 2527, 476, 276, 4846, 692, 3528, 13053, 779, 2034, 1876, 540, 5163, 1109, 674, 815, 12103, 692, 13295, 513, 815, 674, 8276, 815, 476, 4366, 269, 5952, 1315, 476, 276, 815, 476, 280, 269, 6507, 544, 4882, 273, 692, 1892, 19461, 10231, 540, 1560, 540, 2527, 1109, 277, 1535, 476, 9083, 275, 4846, 692, 3528, 13053, 779, 2034, 1876, 540, 5163, 1109, 674, 815, 12103, 692, 13295, 513, 815, 674, 8276, 815, 476, 4366, 269, 5952, 1315, 476, 277, 1535, 476, 9083, 275, 1109, 1109, 284, 476, 279, 269, 16318, 1535, 476, 1015, 268, 2190, 1109, 332, 4882, 273, 692, 9172, 281, 634, 3196, 540, 1140, 541, 794, 1063, 519, 1079, 13999, 815, 476, 4366, 269, 5952, 715, 692, 763, 19461, 1035, 576, 548, 691, 542, 540, 1560, 540, 2527, 476, 276, 4846, 568, 476, 280, 269, 6507, 544, 4882, 663, 692, 6546, 540, 1560, 540, 2527, 476, 277, 1535, 476, 9083, 275, 4846, 28812, 476, 279, 269, 16318, 1535, 476, 1015, 268, 2190, 1109, 332, 4882, 273, 780, 2971, 7151, 1107, 476, 275, 1384, 1892, 589, 12106, 540, 2527, 476, 2412, 4846, 568, 13631, 676, 1776, 20085, 2527, 540, 476, 1428, 4846, 676, 513, 3196, 540, 476, 280, 269, 279, 1535, 476, 1015, 268, 278, 715, 950, 519, 3845, 1063, 741, 18013, 568, 476, 271, 269, 273, 544, 269, 4855, 717, 563, 1892, 8827, 912, 1892, 9717, 281, 1109, 22709, 540, 1101, 1560, 815, 544, 272, 815, 476, 2412, 4846, 267, 2527, 540, 2034, 1560, 815, 544, 273, 815, 476, 1428, 4846, 267, 3196, 1063, 873, 815, 674, 815, 1109, 1109, 280, 269, 279, 1535, 476, 1015, 268, 278, 715, 267, 20028, 1063, 519, 13999, 815, 678, 815, 476, 271, 269, 273, 544, 563, 1892, 1677, 4855, 281, 17629, 28040, 2787, 3586, 815, 717, 815, 2496, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 9172, 281, 634, 1871, 540, 1109, 684, 1392, 531, 28040, 2787, 3586, 568, 476, 277, 269, 276, 3451, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 16317, 2971, 7151, 1107, 476, 276, 1384, 1892, 589, 12106, 540, 2527, 476, 1911, 4846, 568, 13631, 676, 1776, 20085, 2527, 540, 476, 1556, 269, 4037, 4846, 676, 513, 3196, 540, 476, 866, 269, 277, 1535, 476, 1015, 268, 278, 715, 950, 519, 3845, 1063, 741, 18013, 568, 476, 271, 269, 273, 544, 269, 4855, 717, 563, 1892, 8827, 912, 1892, 9717, 281, 1109, 22709, 540, 1101, 1560, 815, 544, 272, 815, 476, 1911, 4846, 267, 2527, 540, 2034, 1560, 815, 544, 273, 815, 476, 1556, 269, 4037, 4846, 267, 1109, 3845, 1063, 13999, 815, 678, 815, 476, 271, 269, 273, 544, 267, 3196, 1063, 873, 815, 674, 815, 1109, 476, 866, 269, 277, 1535, 476, 1015, 268, 278, 715, 2676, 1892, 1677, 4855, 281, 17629, 28040, 2787, 3586, 815, 717, 815, 2496, 3528, 13053, 779, 1876, 540, 28040, 2787, 692, 9172, 281, 634, 1871, 540, 1109, 684, 1392, 531, 28040, 2787, 3586, 568, 476, 277, 269, 6858, 273, 1535, 476, 1015, 268, 1556, 715, 544, 273, 21515, 273, 16317, 2971, 7151, 1107, 476, 277, 1384, 1892, 634, 3845, 540, 513, 4541, 689, 519, 3618, 568, 476, 273, 269, 276, 1535, 476, 13040, 5998, 543, 519, 14965, 3196, 1063, 873, 568, 476, 274, 269, 11025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24961, 2986, 772, 2529, 11607, 29557, 5101, 9534, 31698, 12472, 2986, 1290, 6088, 3778, 630, 4668, 292, 302, 264, 17954, 1136, 5240, 454, 15912, 281, 5664, 5101, 454, 2690, 1346, 540, 596, 945, 616, 11821, 607, 547, 1141, 519, 2136, 2276, 6763, 538, 519, 5664, 5101, 630, 16447, 3401, 3769, 1070, 1413, 1100, 2417, 281, 713, 13561, 4786, 666, 4001, 596, 519, 10808, 543, 31211, 540, 1977, 1894, 538, 519, 3148, 538, 1447, 982, 1614, 3764, 563, 21607, 1927, 676, 22956, 8355, 1721, 628, 267, 945, 15387, 519, 7047, 2762, 5816, 634, 2991, 12158, 10934, 267, 519, 3381, 1657, 2982, 519, 4720, 540, 772, 2529, 269, 4690, 538, 519, 5664, 5101, 6580, 1394, 547, 476, 4350, 280, 269, 769, 519, 17157, 267, 834, 25567, 320, 781, 27469, 543, 2037, 12562, 538, 519, 5664, 5101, 281, 476, 4350, 280, 268, 1001, 274, 2437, 8355, 1721, 628, 3096, 2681, 267, 6698, 267, 543, 942, 2000, 8985, 547, 14974, 1524, 891, 1894, 936, 519, 1296, 267, 15202, 2436, 513, 2197, 568, 834, 5976, 721, 257, 630, 19990, 1070, 834, 28785, 560, 721, 257, 630, 1042, 1070, 610, 12341, 538, 1063, 630, 20580, 921, 1916, 25405, 1721, 628, 2417, 6941, 1010, 946, 540, 6698, 547, 20301, 834, 577, 5190, 602, 7018, 593, 2272, 540, 32042, 630, 1492, 7382, 1070, 4172, 1186, 630, 1492, 7784, 1070, 21308, 610, 20320, 3664, 630, 1492, 4050, 1070, 12836, 630, 1492, 2638, 1070, 824, 12560, 19132, 540, 1379, 630, 1492, 20868, 10627, 517, 3364, 344, 264, 610, 2442, 909, 5142, 902, 630, 1492, 13889, 528, 1040, 257, 2483, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 13772, 1169, 16232, 7521, 2094, 476, 3422, 271, 454, 268, 22735, 6874, 337, 2794, 13891, 622, 1401, 4624, 547, 2142, 27824, 8571, 538, 513, 21069, 1242, 6520, 454, 268, 15525, 688, 2812, 6679, 540, 519, 3979, 1977, 7467, 454, 268, 13114, 29562, 262, 2806, 21353, 11394, 3703, 3284, 1108, 585, 476, 4489, 278, 6014, 22657, 17083, 454, 268, 4911, 518, 607, 26235, 781, 1753, 5828, 883, 13609, 670, 304, 585, 17992, 619, 476, 276, 454, 268, 20913, 10791, 5341, 645, 2350, 615, 267, 4436, 16024, 1014, 540, 13303, 16527, 267, 667, 625, 693, 476, 11463, 454, 268, 30129, 700, 32218, 2006, 25221, 11686, 786, 3094, 454, 268, 16910, 529, 918, 792, 985, 6153, 7773, 8464, 606, 5967, 609, 4446, 871, 15525, 454, 268, 3203, 14787, 918, 749, 773, 13643, 17993, 513, 5839, 6635, 11037, 7690, 968, 7049, 3780, 892, 9886, 454, 268, 16024, 2103, 4063, 602, 14586, 723, 1044, 5701, 11375, 636, 2033, 569, 2429, 1977, 1686, 0, 288, 2635, 2732, 786, 1832, 707, 3987, 896, 1852, 269, 1548, 596, 3548, 5540, 707, 7280, 2157, 269, 8347, 5969, 3170, 543, 9770, 267, 1039, 811, 6775, 267, 543, 5702, 4585, 707, 16087, 6981, 563, 16729, 513, 5078, 2635, 2732, 267, 543, 2921, 2921, 2834, 3635, 666, 1118, 513, 5458, 3017, 547, 875, 707, 3987, 22264, 1279, 3856, 269, 1879, 596, 723, 3987, 596, 616, 849, 693, 606, 2799, 1981, 540, 3384, 2175, 971, 607, 2295, 2068, 267, 543, 4061, 596, 1058, 2119, 547, 2057, 3536, 602, 616, 1164, 538, 15459, 543, 1098, 3170, 269, 13667, 547, 2507, 0, 12867, 538, 519, 966, 6387, 321, 2830, 2160, 4659, 540, 24919, 3163, 630, 309, 308, 2862, 306, 264, 723, 6913, 519, 1101, 598, 5477, 1875, 29554, 6482, 540, 8849, 15202, 538, 519, 11983, 27871, 540, 2635, 1480, 13538, 563, 19853, 4480, 267, 4330, 2221, 538, 519, 4760, 552, 16908, 267, 949, 5351, 3646, 547, 948, 2550, 9156, 689, 11983, 10260, 7063, 543, 824, 4713, 7133, 11983, 10260, 1599, 267, 1519, 2789, 26379, 563, 20442, 9090, 4126, 602, 713, 960, 666, 581, 12261, 547, 2232, 1082, 14715, 4713, 2437, 1767, 519, 1957, 781, 1101, 2278, 267, 7917, 31550, 267, 1912, 6185, 1421, 513, 2022, 4777, 28118, 1382, 8284, 538, 519, 20576, 9859, 676, 9972, 2278, 3627, 717, 648, 267, 1912, 6185, 563, 763, 3173, 1031, 16600, 30041, 2361, 6198, 6419, 16982, 9196, 630, 325, 28122, 264, 547, 3713, 585, 519, 1101, 942, 834, 6135, 532, 1533, 257, 6786, 1063, 8849, 11387, 538, 519, 1480, 11983, 6241, 269, 1452, 6786, 616, 11179, 3742, 267, 711, 538, 3210, 547, 5007, 15128, 563, 20442, 1294, 891, 4282, 16889, 11387, 607, 1373, 7915, 3800, 540, 1599, 2437, 1767, 717, 648, 267, 519, 4173, 15925, 10548, 8124, 595, 816, 7905, 540, 6925, 267, 2160, 7905, 543, 13030, 11381, 540, 3194, 538, 519, 4972, 540, 7101, 5735, 543, 7101, 8344, 7070, 563, 763, 4480, 949, 581, 3407, 585, 1620, 875, 11983, 10260, 5945, 2242, 519, 834, 10818, 531, 14479, 257, 1063, 8849, 11387, 267, 585, 1383, 267, 543, 585, 12570, 543, 5464, 6051, 602, 4386, 31380, 610, 1739, 1585, 7459, 563, 10454, 4126, 568, 602, 950, 596, 723, 15176, 1599, 602, 972, 786, 581, 2242, 630, 514, 519, 6786, 1070, 257, 717, 648, 1767, 269, 834, 2171, 4312, 2907, 3893, 2963, 585, 602, 689, 824, 2090, 4799, 22137, 540, 519, 834, 6135, 532, 257, 2634, 7866, 875, 8849, 11387, 11282, 547, 1852, 1585, 3252, 543, 547, 3132, 1114, 5615, 269, 634, 11983, 10260, 814, 1044, 811, 2352, 547, 1353, 1317, 621, 568, 1454, 4130, 982, 519, 2634, 267, 543, 6671, 535, 28122, 3884, 1405, 6213, 2614, 547, 4584, 909, 922, 6786, 563, 763, 966, 6387, 321, 2830, 2319, 22848, 877, 713, 4161, 676, 1210, 606, 535, 28122, 31554, 609, 513, 476, 278, 23592, 11275, 267, 1617, 747, 14128, 11983, 10260, 27810, 267, 543, 4359, 2409, 585, 16565, 543, 7421, 519, 2592, 269, 2290, 23592, 568, 10199, 476, 736, 267, 1822, 2053, 519, 4222, 540, 519, 6419, 2361, 540, 519, 3618, 563, 10870, 22052, 4243, 590, 996, 8055, 267, 1912, 6185, 1421, 13930, 7548, 267, 543, 1520, 686, 26413, 667, 3121, 267, 1912, 6185, 1421, 1382, 14357, 267, 1312, 538, 519, 4972, 540, 7101, 5735, 543, 7101, 8344, 7070, 267, 616, 7311, 4359, 9196, 2409, 547, 1732, 1174, 1480, 11983, 10260, 3676, 971, 607, 2789, 26379, 267, 1247, 31550, 814, 6791, 538, 519, 11601, 543, 2079, 540, 6198, 1239, 563, 290, 571, 580, 4425, 518, 1676, 1923, 30628, 1325, 1068, 2336, 20578, 2389, 841, 1819, 4640, 1996, 1350, 328, 984, 18431, 5557, 454, 2918, 269, 6021, 269, 1001, 277, 1923, 28039, 17430, 3832, 26179, 8862, 559, 3559, 916, 268, 26536, 28059, 12844, 333, 454, 6124, 26679, 2126, 3091, 4126, 454, 2537, 269, 6021, 269, 1001, 277, 1923, 3751, 19869, 31608, 2160, 540, 3163, 543, 5303, 454, 763, 29163, 4659, 585, 17667, 22997, 267, 5082, 1258, 2142, 600, 543, 26736, 2742, 5303, 674, 7968, 814, 1044, 3384, 1585, 3156, 585, 744, 29612, 2890, 4134, 680, 904, 1759, 593, 5214, 15373, 832, 269, 1635, 10128, 519, 7207, 540, 606, 3239, 9300, 2047, 883, 519, 2890, 5891, 267, 3750, 5322, 666, 581, 6592, 676, 519, 5100, 14296, 543, 8246, 585, 5583, 543, 1852, 3252, 267, 607, 835, 1383, 269, 634, 1007, 1374, 786, 581, 3181, 3176, 693, 4119, 7757, 2622, 5890, 334, 2342, 630, 288, 25446, 264, 538, 12670, 693, 4425, 1054, 645, 1839, 267, 5239, 476, 1240, 628, 1107, 476, 866, 628, 563, 2108, 13971, 7757, 3146, 1275, 892, 543, 968, 18875, 1963, 892, 723, 1831, 2474, 649, 7237, 3592, 3232, 269, 5637, 666, 1118, 3232, 1272, 513, 2370, 12863, 543, 1683, 3407, 6351, 585, 2483, 4415, 519, 948, 540, 5841, 4987, 267, 2447, 1235, 689, 519, 2160, 540, 30239, 538, 16848, 723, 17223, 519, 4162, 540, 827, 1079, 2929, 14848, 1500, 909, 540, 2185, 3114, 2609, 269, 634, 3173, 941, 2111, 547, 2697, 476, 3445, 5892, 7164, 5687, 11946, 1227, 7123, 14848, 602, 666, 581, 9833, 607, 1007, 2326, 269, 1358, 1867, 593, 741, 4681, 538, 519, 3621, 4760, 8447, 5623, 16707, 563, 14976, 335, 553, 565, 924, 568, 513, 4837, 344, 267, 12001, 267, 21743, 543, 2571, 7777, 609, 513, 12945, 12627, 2497, 269, 3689, 4362, 538, 4432, 17131, 334, 6019, 630, 21760, 5964, 267, 7330, 1070, 621, 666, 849, 581, 2483, 2690, 519, 1101, 942, 267, 29163, 594, 298, 4811, 2982, 19605, 569, 14475, 2182, 5471, 531, 2645, 693, 2622, 15014, 476, 1001, 277, 538, 31297, 269, 20996, 267, 3114, 607, 1134, 607, 513, 1164, 3002, 4187, 543, 3665, 21052, 616, 2838, 689, 2645, 602, 616, 1031, 538, 7344, 543, 16669, 4702, 610, 538, 15229, 543, 2679, 2326, 2872, 269, 12824, 693, 519, 29163, 4659, 585, 595, 10984, 545, 16370, 543, 7010, 594, 298, 4811, 538, 667, 637, 6577, 7307, 519, 2504, 540, 1950, 2182, 5471, 531, 2645, 3842, 476, 274, 291, 8228, 538, 513, 2298, 602, 616, 538, 1100, 1259, 17071, 547, 15007, 958, 3812, 1164, 26024, 2645, 563, 293, 571, 27541, 594, 298, 4811, 12523, 5756, 540, 8810, 6791, 538, 519, 1646, 540, 2182, 5471, 1023, 269, 1677, 4266, 267, 6325, 5969, 267, 17656, 267, 10296, 543, 16826, 532, 2645, 1500, 540, 2483, 4263, 31650, 299, 685, 1626, 267, 519, 4139, 21558, 5303, 6837, 4371, 538, 2904, 713, 1032, 267, 1719, 538, 519, 1888, 540, 1184, 1852, 729, 3152, 982, 4397, 269, 2561, 10187, 2299, 267, 519, 2680, 729, 849, 1031, 547, 10131, 519, 12752, 11554, 6828, 585, 6713, 6513, 538, 21558, 7698, 14409, 269, 634, 1895, 2488, 513, 8468, 585, 13222, 689, 2872, 543, 1382, 547, 20006, 840, 16327, 564, 1438, 3785, 543, 1865, 2152, 971, 607, 4441, 267, 1761, 1942, 9806, 543, 23250, 563, 1103, 519, 2085, 540, 2872, 476, 275, 269, 271, 267, 8955, 2029, 568, 16119, 3964, 1369, 5663, 269, 589, 2647, 3099, 540, 8955, 2553, 1107, 689, 2475, 303, 705, 3175, 543, 19605, 2483, 9336, 1614, 1296, 267, 519, 15229, 2872, 5531, 338, 693, 918, 267, 519, 3486, 4123, 4023, 585, 15229, 543, 12285, 538, 667, 6686, 338, 572, 671, 21807, 269, 634, 29163, 4659, 585, 21558, 5303, 14889, 307, 786, 849, 581, 11504, 1586, 543, 9306, 1082, 5499, 4066, 267, 971, 607, 585, 11836, 15229, 543, 8407, 1210, 24318, 1662, 677, 13942, 22795, 269, 3245, 5239, 476, 866, 547, 476, 2918, 267, 596, 666, 1265, 519, 29163, 14889, 307, 693, 519, 4745, 29163, 1630, 1054, 14662, 4905, 538, 8065, 476, 278, 563, 298, 568, 519, 1158, 779, 4102, 4123, 4023, 585, 519, 15229, 543, 12285, 2872, 269, 1306, 538, 3105, 1296, 267, 519, 25696, 616, 24584, 476, 274, 267, 1822, 4803, 6002, 543, 811, 982, 2483, 2537, 269, 6021, 269, 1001, 277, 1923, 7926, 5240, 454, 736, 269, 6021, 269, 1001, 277, 1923, 7926, 5240, 454, 1626, 269, 6021, 269, 1001, 277, 1923, 7926, 5240, 454, 2918, 269, 6021, 269, 1001, 277, 1923, 8212, 543, 18395, 454, 2918, 269, 6021, 269, 1001, 277, 1923, 8212, 543, 18395, 454, 2918, 269, 6021, 269, 1001, 277, 1923, 5020, 7070, 0, 268, 630, 10520, 1438, 264, 547, 3605, 519, 2990, 267, 3510, 267, 610, 1141, 629, 8083, 540, 282, 1265, 454, 268, 630, 13700, 282, 1419, 12809, 264, 547, 2198, 622, 610, 1747, 281, 4092, 593, 519, 6316, 540, 519, 2749, 454, 268, 630, 842, 4920, 1438, 264, 547, 1831, 3964, 610, 12306, 454, 414, 497, 502, 2290, 610, 811, 8468, 16060, 568, 606, 3169, 6474, 540, 707, 22646, 2165, 269, 8437, 1934, 563, 17504, 27270, 15932, 5600, 3231, 1676, 781, 9218, 540, 1977, 2296, 9736, 476, 1001, 277, 454, 5979, 1892, 322, 622, 1315, 16659, 5979, 390, 488, 651, 22688, 339, 267, 3138, 390, 488, 16659, 651, 22688, 339, 270, 24433, 12332, 642, 1421, 910, 13906, 1892, 539, 267, 910, 13906, 1892, 532, 15030, 867, 27270, 15932, 5600, 1133, 30457, 9218, 540, 1977, 2296, 9736, 476, 1001, 277, 454, 5979, 1892, 13906, 1892, 518, 267, 3138, 1892, 8619, 1892, 30004, 267, 562, 269, 1496, 12248, 762, 316, 8450, 910, 32643, 268, 563, 5979, 1892, 322, 622, 630, 331, 16230, 12664, 330, 5953, 339, 267, 561, 16230, 737, 5953, 339, 12664, 1070, 24433, 12332, 642, 1421, 910, 13906, 1892, 539, 267, 910, 13906, 1892, 532, 563, 31890, 19270, 1047, 2296, 9218, 9736, 22489, 31890, 23255, 281, 912, 331, 11229, 1315, 331, 16745, 390, 488, 16659, 651, 22688, 339, 270, 642, 321, 454, 262, 331, 11229, 262, 849, 1336, 538, 891, 13366, 912, 17739, 910, 10536, 910, 21138, 910, 10763, 9511, 910, 7852, 910, 6177, 2915, 910, 897, 11229, 910, 4172, 577, 910, 632, 718, 11229, 910, 3181, 1872, 910, 2007, 910, 10155, 910, 20247, 11229, 910, 546, 1042, 613, 910, 552, 3273, 6327, 910, 4497, 910, 1265, 910, 1265, 518, 910, 9416, 910, 3514, 910, 2062, 322, 5417, 773, 910, 7406, 540, 4704, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2546, 912, 257, 2108, 2690, 2677, 790, 892, 568, 835, 540, 519, 993, 5387, 9954, 540, 13690, 5410, 517, 714, 1470, 602, 5679, 4169, 693, 938, 12271, 543, 12134, 2436, 649, 1131, 1930, 519, 10766, 547, 9784, 2168, 640, 547, 519, 1985, 1377, 256, 8786, 267, 621, 568, 519, 1379, 540, 519, 1913, 31960, 2390, 519, 2985, 269, 5410, 517, 714, 1470, 5206, 1896, 9954, 593, 713, 6249, 269, 901, 6648, 267, 2523, 267, 814, 519, 1379, 547, 6678, 337, 718, 721, 547, 938, 15629, 12823, 269, 10753, 951, 945, 666, 2673, 741, 4064, 543, 4952, 741, 7649, 779, 9329, 666, 1921, 609, 713, 6648, 811, 3362, 269, 8409, 945, 723, 711, 1044, 547, 519, 16945, 18396, 2120, 540, 2168, 640, 616, 562, 644, 3022, 676, 519, 3532, 1913, 540, 5410, 517, 714, 1470, 779, 6648, 563, 268, 3367, 519, 2407, 1257, 540, 968, 2690, 2677, 790, 892, 2630, 912, 2690, 2677, 790, 676, 13690, 5410, 517, 714, 1470, 12315, 803, 519, 16999, 10381, 267, 519, 835, 602, 588, 3855, 1655, 282, 543, 594, 1616, 519, 1434, 9174, 267, 519, 2220, 20071, 538, 12627, 21704, 532, 519, 20015, 2213, 20416, 540, 3109, 11241, 267, 610, 10027, 1845, 267, 519, 3638, 838, 4669, 538, 519, 1394, 540, 519, 11563, 267, 519, 8066, 621, 972, 1354, 24948, 269, 12315, 803, 519, 24158, 945, 586, 3471, 1930, 519, 7450, 540, 1010, 2777, 543, 2046, 525, 803, 547, 519, 3774, 538, 519, 3897, 10689, 3118, 267, 543, 8952, 803, 972, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 11989, 543, 6742, 344, 3464, 257, 607, 851, 540, 834, 16300, 13493, 1315, 15215, 1315, 19978, 22335, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 21298, 513, 13618, 8760, 729, 7550, 543, 1034, 3604, 14897, 538, 519, 15428, 4528, 540, 519, 21499, 454, 5035, 2305, 476, 607, 3254, 538, 8431, 269, 476, 274, 563, 763, 12402, 568, 547, 10205, 519, 16166, 7988, 25936, 543, 3277, 547, 12499, 788, 527, 16773, 683, 6955, 14901, 630, 296, 2894, 264, 610, 703, 1090, 1075, 657, 531, 683, 6955, 14901, 563, 1607, 10039, 711, 1152, 547, 519, 7181, 855, 849, 547, 519, 24647, 543, 519, 3935, 563, 763, 15087, 9286, 607, 1164, 17263, 7988, 25936, 538, 519, 4639, 610, 703, 1090, 1075, 657, 531, 26217, 538, 519, 5101, 616, 3769, 538, 519, 1482, 454, 26171, 1895, 476, 275, 267, 1496, 8993, 338, 476, 25148, 316, 799, 2882, 1164, 17263, 703, 1090, 1075, 657, 531, 683, 6955, 14901, 630, 4594, 2088, 16885, 320, 15197, 264, 543, 703, 1090, 1075, 657, 531, 2860, 630, 4594, 2088, 16885, 320, 3238, 1916, 10481, 7240, 7648, 540, 1981, 454, 2467, 568, 513, 7678, 547, 19394, 11841, 540, 23441, 2860, 5001, 269, 1717, 267, 519, 4890, 5993, 2338, 540, 1007, 2665, 616, 1869, 454, 1410, 4624, 547, 2333, 538, 1082, 2477, 267, 3226, 538, 3384, 2477, 267, 538, 6935, 547, 519, 10172, 2551, 267, 1317, 454, 1492, 9588, 540, 519, 1981, 4679, 25921, 609, 2085, 269, 853, 6729, 2860, 568, 1869, 519, 2034, 4102, 2014, 540, 2669, 689, 2860, 454, 514, 519, 1158, 269, 4578, 593, 11841, 543, 9019, 689, 23441, 2860, 616, 2139, 538, 2860, 7373, 1845, 4586, 763, 1981, 538, 2367, 568, 5111, 7466, 602, 4767, 538, 2021, 269, 769, 3567, 267, 538, 19220, 540, 513, 19394, 11841, 267, 519, 1981, 568, 3226, 454, 14683, 543, 7181, 2860, 568, 1869, 519, 3056, 10510, 3135, 2073, 8051, 538, 476, 2735, 6812, 280, 585, 476, 4029, 260, 540, 782, 2275, 22083, 11841, 538, 9038, 543, 476, 2420, 260, 538, 8951, 538, 5216, 2551, 2861, 7373, 1845, 269, 634, 9645, 10923, 454, 19702, 725, 538, 519, 1981, 616, 6045, 676, 2825, 2188, 267, 607, 3254, 538, 2090, 6313, 519, 1981, 538, 5545, 20404, 454, 1729, 519, 7330, 4586, 3682, 343, 2711, 543, 30218, 23441, 2860, 454, 288, 11984, 1058, 581, 1500, 1063, 2860, 693, 519, 1965, 15047, 690, 770, 878, 630, 9680, 264, 22882, 267, 799, 2882, 519, 9938, 2711, 851, 540, 519, 454, 560, 6729, 630, 15258, 807, 1070, 543, 2860, 540, 519, 30218, 851, 540, 519, 7181, 267, 1572, 1875, 2275, 731, 807, 7181, 2860, 1547, 570, 636, 832, 4171, 4099, 568, 4092, 693, 1100, 811, 982, 476, 273, 4699, 1253, 958, 610, 9938, 574, 958, 547, 519, 22882, 540, 519, 8685, 983, 24647, 547, 519, 7181, 1058, 581, 9286, 607, 538, 519, 661, 294, 3148, 563, 4263, 519, 661, 294, 22882, 267, 12970, 8451, 2901, 538, 513, 1360, 2110, 10126, 540, 18688, 610, 538, 519, 23441, 13423, 26375, 540, 519, 3556, 807, 269, 901, 546, 7081, 454, 4754, 581, 4767, 538, 10551, 15013, 543, 568, 9672, 676, 7636, 7350, 1496, 5655, 267, 6246, 14073, 4692, 1356, 538, 519, 9938, 2711, 7181, 630, 4754, 1356, 693, 519, 3556, 807, 264, 568, 1447, 7928, 982, 538, 519, 30218, 7181, 267, 543, 519, 8167, 540, 7181, 454, 322, 19188, 693, 519, 3556, 807, 9775, 689, 1447, 982, 476, 276, 260, 547, 811, 982, 476, 3374, 260, 538, 10510, 7373, 1845, 1210, 519, 8760, 540, 7449, 2572, 538, 454, 17780, 593, 519, 2079, 540, 519, 2139, 1239, 267, 621, 568, 6059, 602, 2860, 693, 519, 3556, 807, 4564, 267, 593, 3328, 267, 476, 1240, 260, 540, 782, 454, 322, 1162, 540, 7181, 2860, 269, 634, 8167, 540, 30218, 7181, 2860, 568, 2362, 538, 8951, 982, 538, 9038, 267, 543, 2362, 538, 519, 3384, 454, 16447, 543, 3567, 982, 538, 3345, 3013, 267, 8832, 543, 5375, 2342, 267, 543, 5245, 270, 6124, 10215, 563, 4692, 1356, 693, 519, 661, 294, 22882, 454, 4263, 519, 661, 294, 22882, 1079, 3982, 6688, 540, 12970, 8451, 689, 513, 2110, 10126, 540, 519, 4446, 21884, 781, 13423, 26375, 610, 689, 519, 23441, 454, 15258, 807, 269, 769, 513, 1353, 540, 12970, 4092, 1369, 476, 273, 4699, 30218, 610, 9938, 2711, 540, 519, 661, 294, 22882, 267, 519, 8167, 540, 9038, 729, 2362, 538, 12970, 9286, 607, 1965, 23569, 538, 5169, 454, 22474, 538, 12970, 9286, 607, 23441, 538, 5169, 1547, 1703, 568, 1869, 7521, 827, 519, 21465, 2188, 540, 683, 6955, 14901, 693, 519, 3556, 807, 281, 8194, 689, 519, 620, 21747, 8574, 267, 3679, 543, 454, 321, 850, 17406, 267, 610, 670, 269, 28894, 9461, 3968, 269, 25003, 4249, 513, 14758, 1909, 982, 538, 20722, 665, 32555, 5557, 16109, 689, 18688, 543, 519, 8167, 540, 21596, 568, 2539, 538, 454, 326, 770, 878, 982, 538, 1965, 23569, 12970, 4586, 4692, 1356, 538, 519, 30218, 610, 1875, 2275, 731, 807, 7181, 454, 2690, 20722, 665, 32555, 5448, 538, 519, 30218, 7181, 267, 11940, 657, 531, 6553, 543, 693, 15577, 568, 519, 6566, 7955, 656, 2783, 269, 16790, 14545, 8819, 8539, 454, 6943, 589, 568, 519, 21465, 3815, 538, 513, 1507, 8167, 540, 2665, 269, 769, 1034, 2665, 282, 670, 269, 28894, 9461, 3968, 568, 519, 3844, 1981, 3815, 585, 8819, 8539, 543, 585, 519, 13319, 540, 2038, 5933, 540, 683, 31129, 7004, 4586, 763, 13395, 540, 670, 269, 28894, 9461, 568, 519, 7181, 15755, 2113, 24586, 543, 519, 19800, 1764, 568, 1110, 4327, 676, 519, 3984, 3210, 543, 519, 2205, 18834, 540, 519, 8833, 269, 634, 454, 5793, 12401, 1063, 9190, 26898, 543, 1973, 31228, 6878, 6941, 513, 2362, 1981, 585, 7181, 2860, 538, 1973, 1895, 454, 763, 9860, 540, 519, 3968, 538, 4079, 568, 1164, 607, 3254, 538, 3370, 1239, 689, 2551, 2861, 12220, 540, 2635, 4079, 2676, 2889, 338, 8826, 630, 1723, 327, 677, 264, 2090, 267, 610, 2013, 20820, 2090, 269, 769, 519, 2085, 2039, 476, 27174, 275, 267, 519, 9860, 540, 3968, 568, 6059, 693, 476, 6812, 260, 538, 2919, 2477, 543, 476, 10602, 260, 538, 3384, 2477, 563, 288, 2362, 4908, 4386, 538, 3979, 2477, 269, 769, 3162, 4000, 267, 519, 1583, 334, 1790, 516, 28700, 568, 936, 476, 3199, 10065, 769, 717, 25995, 519, 1164, 9860, 454, 1993, 519, 3968, 2164, 538, 513, 1164, 4908, 540, 5312, 23441, 6553, 267, 4352, 519, 9860, 540, 23441, 693, 15577, 568, 454, 1103, 3624, 519, 9860, 540, 519, 3968, 568, 2539, 982, 538, 4000, 563, 7197, 7783, 7606, 2760, 1020, 23441, 2860, 538, 519, 9000, 540, 824, 5009, 2825, 2188, 267, 971, 607, 513, 1164, 454, 842, 820, 540, 8886, 1218, 630, 338, 5306, 543, 6491, 6233, 264, 543, 513, 1970, 6981, 540, 14434, 630, 26258, 543, 10448, 264, 1496, 8287, 267, 5038, 14073, 763, 3448, 1981, 585, 23441, 2860, 538, 670, 269, 28894, 9461, 3968, 568, 6059, 538, 17053, 2090, 267, 1210, 1583, 1670, 4255, 609, 513, 1279, 8884, 1063, 519, 3355, 1973, 10386, 454, 663, 2860, 7020, 269, 769, 519, 1034, 2487, 13849, 20400, 689, 519, 4477, 545, 14385, 543, 9435, 20985, 6828, 267, 519, 13095, 1091, 22472, 454, 1721, 519, 7681, 1063, 519, 3968, 543, 30218, 23441, 2860, 568, 476, 276, 269, 280, 950, 11658, 547, 2090, 609, 606, 8884, 540, 454, 520, 2547, 476, 1015, 1296, 563, 2304, 16759, 540, 519, 8167, 540, 7181, 2860, 30289, 547, 670, 269, 28894, 9461, 3968, 3340, 519, 17181, 540, 2860, 693, 519, 3556, 807, 267, 1141, 670, 269, 28894, 9461, 4249, 1100, 1909, 269, 1323, 2079, 1759, 2390, 519, 3328, 8167, 540, 2860, 693, 519, 3556, 807, 630, 1240, 8472, 543, 519, 5001, 16759, 540, 454, 1492, 1297, 540, 1007, 2665, 540, 7181, 2860, 538, 476, 1220, 271, 538, 2919, 543, 538, 3384, 2477, 6920, 602, 267, 585, 519, 1032, 476, 1220, 271, 2676, 11004, 941, 1472, 476, 278, 1839, 476, 1822, 1007, 2665, 540, 1875, 2275, 731, 807, 2860, 563, 21982, 883, 2272, 519, 6059, 9860, 540, 519, 3968, 543, 519, 2404, 3448, 1981, 540, 476, 276, 269, 280, 267, 519, 8167, 540, 2665, 454, 3430, 1026, 17014, 547, 670, 269, 28894, 9461, 3968, 568, 5594, 2362, 538, 3384, 982, 2919, 2477, 267, 519, 5515, 1373, 538, 519, 2039, 540, 476, 4037, 279, 271, 10065, 769, 713, 1259, 670, 269, 28894, 9461, 3968, 568, 9672, 607, 513, 6566, 7955, 656, 2783, 563, 1103, 3932, 267, 519, 1696, 5735, 540, 7181, 2860, 568, 5532, 547, 2825, 2188, 267, 1519, 670, 269, 28894, 9461, 14001, 6553, 543, 693, 15577, 540, 519, 23441, 11940, 6242, 267, 543, 513, 2732, 3638, 538, 6070, 543, 6491, 1679, 543, 4057, 538, 4829, 543, 5388, 563, 763, 4756, 11841, 538, 1114, 2477, 540, 519, 1158, 568, 5532, 547, 2825, 2188, 563, 11742, 3466, 538, 11841, 543, 9019, 689, 23441, 2860, 454, 288, 20902, 7771, 540, 519, 2068, 454, 763, 20902, 7771, 540, 11841, 267, 3226, 6825, 538, 519, 7330, 2073, 5267, 602, 9695, 4386, 998, 4657, 6197, 543, 602, 13664, 3604, 1267, 689, 7648, 538, 519, 454, 31553, 540, 2825, 2188, 269, 5384, 3466, 538, 519, 11841, 540, 7181, 2860, 9414, 519, 1909, 540, 2825, 2188, 563, 22137, 593, 27540, 5095, 4947, 689, 513, 2197, 609, 513, 1164, 1981, 585, 7181, 2860, 547, 513, 1970, 16151, 2197, 723, 1044, 5342, 454, 514, 5545, 20404, 538, 519, 7330, 630, 295, 1177, 2967, 328, 267, 4993, 267, 6115, 1533, 267, 1715, 3840, 4975, 1916, 763, 11841, 2557, 538, 5545, 20404, 11081, 538, 20422, 5481, 6902, 538, 476, 3192, 4343, 277, 267, 519, 11841, 2557, 585, 5545, 4535, 538, 5607, 729, 2539, 982, 538, 3567, 855, 2362, 982, 602, 540, 2475, 3043, 25165, 630, 9943, 275, 269, 274, 585, 2367, 543, 6398, 276, 269, 279, 585, 2021, 1040, 1280, 519, 2034, 5108, 267, 2475, 23899, 5545, 1185, 513, 2417, 6175, 538, 11841, 630, 9943, 273, 269, 279, 585, 2367, 543, 6398, 273, 269, 280, 585, 2021, 1040, 634, 1164, 2557, 4767, 538, 519, 1101, 5108, 540, 20404, 5267, 602, 2825, 2188, 1404, 513, 24572, 454, 14337, 538, 2038, 26638, 269, 634, 18106, 6175, 540, 519, 1981, 538, 519, 2034, 5108, 5267, 519, 1909, 540, 6414, 532, 6803, 454, 331, 604, 5598, 4162, 538, 519, 7330, 563, 11742, 3466, 538, 3567, 454, 763, 7771, 538, 11841, 543, 9019, 689, 7181, 2860, 849, 4386, 538, 3567, 267, 609, 519, 21276, 6304, 540, 513, 9584, 454, 335, 32123, 269, 634, 13796, 3466, 585, 519, 1974, 476, 3192, 276, 4817, 538, 3567, 543, 7330, 630, 320, 2197, 609, 1100, 9584, 3609, 16532, 1397, 519, 9757, 7506, 540, 1312, 2188, 563, 4263, 519, 4098, 540, 519, 1353, 1974, 267, 519, 9757, 2085, 14194, 3286, 539, 11841, 3928, 538, 3567, 543, 7330, 538, 476, 3192, 276, 941, 476, 10602, 269, 271, 543, 476, 280, 269, 7367, 454, 704, 476, 1911, 476, 1822, 585, 2367, 267, 543, 476, 4343, 269, 4097, 543, 476, 275, 269, 2918, 585, 2021, 269, 3245, 476, 3192, 276, 547, 476, 1960, 276, 519, 9019, 3562, 2987, 322, 2064, 5223, 8519, 538, 3567, 689, 476, 271, 269, 279, 454, 514, 476, 3192, 276, 547, 476, 271, 269, 277, 538, 476, 1960, 276, 585, 2367, 543, 689, 476, 271, 269, 279, 547, 476, 271, 269, 278, 585, 2021, 269, 769, 519, 7330, 519, 5223, 7283, 7123, 269, 634, 7771, 540, 519, 5223, 454, 514, 3567, 568, 6045, 676, 519, 2810, 6871, 540, 2665, 9571, 693, 519, 22297, 3942, 538, 6935, 547, 9584, 563, 4415, 2463, 547, 9019, 3928, 267, 513, 1713, 20165, 1198, 568, 9672, 538, 3567, 269, 1879, 519, 3448, 1981, 585, 7181, 2860, 454, 514, 519, 476, 4489, 271, 20165, 568, 12290, 538, 4704, 630, 305, 305, 815, 476, 272, 264, 547, 519, 20422, 16649, 2176, 267, 519, 13095, 1091, 22472, 585, 7181, 2860, 11081, 538, 1312, 28486, 267, 543, 10301, 519, 1871, 476, 271, 269, 273, 585, 519, 454, 1723, 327, 2176, 4535, 1310, 476, 4198, 271, 563, 5804, 6553, 547, 2860, 454, 4263, 519, 7636, 543, 10408, 2157, 267, 519, 1646, 540, 6566, 7955, 656, 15087, 538, 519, 23441, 13423, 26375, 267, 543, 519, 7766, 454, 5271, 1828, 547, 30279, 3599, 267, 568, 519, 12343, 540, 605, 13611, 2566, 1547, 13262, 2175, 949, 1860, 1082, 15202, 11444, 1369, 519, 25853, 2281, 543, 1982, 873, 547, 1020, 883, 1808, 454, 18528, 5166, 2747, 11444, 269, 3525, 5874, 540, 5444, 4082, 538, 3210, 547, 2566, 2188, 949, 581, 31181, 267, 543, 13849, 25936, 2676, 320, 3844, 2680, 538, 23441, 15910, 14003, 267, 949, 1267, 5097, 689, 31181, 2621, 563, 296, 337, 516, 23983, 2242, 616, 13592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 17817, 540, 513, 17781, 692, 8310, 21213, 2433, 476, 4962, 2904, 267, 476, 1708, 275, 692, 13420, 566, 540, 513, 5858, 568, 519, 15821, 1259, 547, 5581, 513, 5858, 269, 898, 568, 519, 30580, 540, 519, 1448, 799, 568, 693, 513, 3586, 3845, 689, 513, 6378, 1448, 269, 634, 6378, 1448, 568, 1572, 519, 8998, 540, 519, 5858, 267, 543, 519, 3586, 3845, 568, 1572, 519, 8953, 540, 519, 5858, 269, 634, 3830, 540, 513, 5858, 568, 1360, 3730, 585, 4466, 1114, 6724, 971, 607, 519, 18592, 267, 543, 1858, 540, 519, 5858, 780, 288, 5858, 538, 476, 273, 5937, 543, 519, 476, 274, 5937, 14742, 568, 6719, 1210, 519, 3830, 540, 519, 5858, 269, 898, 568, 519, 15821, 3830, 3070, 799, 4564, 782, 519, 2798, 593, 519, 18592, 540, 519, 5858, 269, 1284, 666, 2099, 519, 3830, 540, 519, 5858, 538, 1585, 3029, 267, 930, 540, 519, 1455, 3029, 540, 519, 3830, 540, 519, 5858, 616, 10484, 1892, 4937, 1106, 454, 1892, 9208, 1106, 454, 1892, 20368, 13011, 1106, 454, 1892, 21069, 1106, 692, 1103, 713, 2376, 267, 1577, 779, 1451, 827, 519, 3830, 540, 519, 5858, 267, 1585, 3029, 540, 5858, 267, 543, 875, 547, 1265, 519, 3830, 540, 519, 5858, 3092, 780, 1012, 1548, 568, 519, 17817, 540, 513, 17781, 2496, 763, 3830, 540, 513, 5858, 568, 513, 1259, 547, 2099, 519, 7455, 540, 513, 5858, 538, 519, 476, 273, 5937, 543, 519, 476, 274, 5937, 7077, 269, 898, 568, 519, 30580, 540, 519, 1448, 799, 4564, 519, 2619, 540, 519, 1448, 799, 568, 693, 513, 6378, 3845, 689, 513, 6378, 1448, 269, 634, 15821, 3830, 540, 519, 5858, 666, 581, 1336, 1210, 519, 11282, 540, 519, 8998, 543, 519, 3259, 540, 519, 8953, 540, 519, 5858, 267, 1141, 519, 8998, 540, 519, 5858, 568, 519, 6378, 1448, 689, 799, 519, 8953, 568, 7229, 780, 1103, 2489, 267, 952, 519, 8998, 540, 519, 5858, 568, 6719, 609, 630, 327, 267, 737, 264, 543, 519, 8953, 540, 519, 5858, 568, 2048, 337, 685, 1287, 519, 3830, 540, 519, 5858, 568, 10484, 3287, 3620, 264, 273, 1341, 630, 344, 10275, 264, 273, 815, 678, 273, 692, 1607, 3830, 4564, 782, 519, 2798, 602, 616, 693, 678, 3845, 689, 519, 1448, 630, 327, 267, 737, 264, 538, 519, 476, 273, 5937, 11282, 7077, 780, 1012, 7756, 22553, 540, 17817, 540, 17781, 692, 2171, 666, 2099, 519, 3830, 540, 513, 5858, 1210, 1585, 3029, 269, 769, 1142, 1106, 267, 513, 1114, 1305, 540, 2418, 568, 2016, 799, 568, 1031, 547, 1106, 519, 3830, 540, 519, 5858, 269, 2353, 891, 3029, 666, 2099, 519, 1482, 5858, 267, 855, 741, 3355, 6724, 616, 1114, 269, 769, 782, 891, 3029, 540, 4834, 540, 513, 5858, 267, 649, 666, 3362, 1265, 519, 8953, 543, 8998, 540, 519, 5858, 780, 26452, 3029, 547, 2099, 519, 3830, 540, 513, 5858, 616, 10484, 1892, 4937, 1106, 454, 1892, 9208, 1106, 454, 1892, 20368, 13011, 1106, 454, 1892, 21069, 1106, 692, 2171, 786, 1451, 827, 782, 891, 4834, 540, 10580, 538, 1469, 538, 713, 2376, 780, 1012, 4937, 17817, 540, 513, 17781, 692, 763, 2489, 1106, 540, 519, 3830, 540, 513, 5858, 568, 6719, 607, 10484, 343, 273, 1341, 586, 273, 1341, 476, 273, 326, 343, 1341, 476, 273, 325, 344, 1341, 524, 815, 476, 271, 692, 3602, 2676, 326, 267, 535, 267, 543, 524, 616, 733, 338, 333, 520, 2418, 692, 8794, 713, 2489, 1106, 540, 519, 3830, 649, 666, 3362, 1265, 519, 8998, 543, 8953, 540, 519, 5858, 269, 1280, 267, 4466, 519, 8998, 543, 519, 8953, 540, 519, 5858, 649, 946, 519, 11264, 519, 4009, 1505, 543, 1287, 5635, 621, 609, 519, 3044, 1106, 780, 3519, 31844, 519, 2489, 1106, 540, 519, 3830, 1535, 273, 1341, 586, 273, 1341, 476, 273, 326, 343, 1341, 476, 273, 325, 344, 1341, 524, 815, 476, 271, 267, 883, 519, 3044, 1106, 692, 343, 273, 1341, 586, 273, 1341, 476, 273, 326, 343, 1341, 476, 273, 325, 344, 1341, 524, 815, 476, 271, 692, 29002, 535, 273, 267, 575, 273, 267, 543, 910, 322, 593, 1312, 5011, 10484, 343, 273, 1341, 586, 273, 1341, 476, 273, 326, 343, 1341, 476, 273, 325, 344, 1341, 524, 1341, 535, 273, 1341, 575, 273, 910, 322, 815, 535, 273, 1341, 575, 273, 910, 322, 692, 343, 273, 1341, 476, 273, 326, 343, 1341, 575, 273, 1341, 586, 273, 1341, 476, 273, 325, 344, 1341, 535, 273, 815, 535, 273, 1341, 575, 273, 910, 322, 692, 3287, 1341, 575, 264, 273, 1341, 630, 344, 1107, 535, 264, 273, 815, 1496, 5889, 24994, 20795, 6600, 273, 815, 535, 273, 1341, 575, 273, 910, 322, 13580, 273, 692, 1260, 1706, 532, 609, 630, 343, 3620, 264, 273, 1341, 630, 344, 10275, 264, 273, 815, 678, 273, 692, 933, 1205, 10484, 1892, 8998, 815, 630, 327, 267, 737, 264, 815, 11196, 326, 267, 910, 325, 994, 1892, 8953, 815, 678, 815, 12882, 24994, 20795, 6600, 273, 815, 535, 273, 1341, 575, 273, 910, 322, 2020, 2162, 17972, 540, 4937, 17817, 540, 17781, 692, 343, 273, 1341, 586, 273, 1341, 476, 273, 326, 343, 1341, 476, 273, 325, 344, 1341, 524, 815, 476, 271, 267, 4564, 519, 2489, 3830, 540, 513, 5858, 609, 8998, 630, 5889, 24994, 685, 326, 267, 12882, 24994, 685, 325, 264, 543, 8953, 630, 337, 2567, 678, 273, 815, 575, 273, 1341, 535, 273, 5889, 24994, 685, 524, 269, 2368, 540, 519, 1271, 2164, 799, 649, 17429, 576, 689, 519, 2489, 3830, 540, 519, 5858, 616, 10484, 1892, 1403, 575, 273, 1341, 535, 273, 3436, 524, 267, 1287, 519, 8953, 540, 519, 5858, 568, 1483, 563, 1892, 1403, 575, 273, 1341, 535, 273, 815, 524, 267, 1287, 519, 8953, 540, 519, 5858, 568, 4642, 799, 6645, 721, 602, 519, 5858, 568, 513, 1448, 799, 14626, 1938, 609, 519, 8998, 269, 6270, 1826, 540, 5858, 568, 1572, 513, 1448, 5858, 454, 1892, 575, 273, 1341, 535, 273, 2999, 322, 267, 1287, 519, 8953, 540, 519, 5858, 3587, 16494, 269, 4475, 267, 621, 568, 513, 5858, 2348, 513, 1483, 8998, 543, 16494, 8953, 269, 13651, 692, 1012, 17817, 540, 513, 17781, 538, 9208, 4813, 692, 763, 3044, 3830, 540, 519, 5858, 568, 849, 519, 2596, 3830, 540, 519, 5858, 269, 898, 568, 519, 1034, 1455, 3830, 540, 513, 5858, 543, 568, 4922, 1031, 269, 898, 3947, 519, 8998, 543, 8953, 540, 519, 5858, 538, 519, 15864, 543, 1034, 3608, 1259, 269, 634, 3044, 1106, 540, 519, 3830, 540, 519, 5858, 568, 13651, 692, 3287, 3620, 264, 273, 1341, 630, 344, 10275, 264, 273, 815, 678, 273, 692, 3602, 267, 630, 327, 267, 737, 264, 4564, 519, 8998, 540, 519, 5858, 543, 678, 4564, 519, 8953, 540, 519, 5858, 269, 3371, 267, 630, 343, 267, 586, 264, 616, 1022, 17062, 1448, 593, 519, 18592, 540, 519, 5858, 689, 799, 519, 8998, 540, 519, 5858, 568, 693, 519, 3586, 3845, 780, 2414, 1265, 519, 3044, 1106, 540, 519, 5858, 1577, 721, 8263, 602, 589, 22607, 267, 737, 264, 568, 519, 8998, 540, 519, 5858, 543, 678, 568, 519, 8953, 540, 519, 5858, 543, 623, 3287, 267, 586, 264, 568, 1022, 1448, 593, 519, 18592, 269, 13651, 692, 10190, 267, 6673, 815, 678, 2560, 907, 263, 328, 2020, 3086, 1210, 519, 3845, 4542, 649, 1265, 519, 1871, 540, 519, 6673, 692, 4338, 815, 13651, 692, 3086, 2322, 519, 1871, 540, 6673, 538, 552, 336, 9217, 1070, 543, 649, 1205, 692, 13651, 1109, 284, 678, 692, 7775, 2695, 2130, 1312, 5011, 649, 1205, 692, 3287, 1107, 554, 264, 273, 1341, 630, 344, 1107, 737, 264, 273, 815, 678, 273, 13651, 692, 1607, 568, 519, 3044, 1106, 540, 519, 3830, 540, 519, 5858, 780, 7078, 281, 1403, 519, 8998, 543, 519, 8953, 540, 519, 5858, 616, 630, 274, 267, 476, 276, 264, 543, 476, 278, 4559, 6606, 1287, 1265, 519, 3830, 540, 519, 5858, 780, 11405, 281, 13651, 692, 28495, 516, 540, 519, 5858, 568, 630, 274, 267, 476, 276, 264, 9236, 609, 630, 327, 267, 737, 264, 649, 1205, 554, 815, 476, 274, 543, 737, 815, 476, 276, 692, 20118, 267, 8953, 540, 519, 5858, 568, 476, 278, 815, 678, 692, 13420, 566, 540, 519, 5858, 568, 630, 343, 1107, 554, 264, 273, 1341, 630, 344, 1107, 737, 264, 273, 815, 678, 273, 13651, 692, 3287, 1107, 476, 274, 264, 273, 1341, 630, 344, 1107, 476, 276, 264, 273, 815, 476, 7761, 13651, 692, 1607, 568, 519, 2838, 3830, 540, 519, 5858, 780, 1012, 20368, 13011, 17817, 540, 513, 17781, 692, 763, 4164, 13011, 1106, 540, 519, 5858, 3096, 11196, 327, 1341, 678, 6523, 383, 492, 382, 372, 267, 910, 330, 1341, 678, 7562, 383, 492, 382, 372, 264, 607, 519, 2489, 1448, 593, 519, 18592, 540, 519, 5858, 269, 634, 1899, 11836, 519, 8998, 540, 519, 5858, 547, 519, 2489, 1448, 2306, 606, 5086, 3331, 492, 382, 372, 609, 519, 1535, 14289, 269, 4935, 267, 519, 4164, 13011, 3830, 540, 513, 5858, 568, 13651, 692, 343, 273, 1341, 586, 273, 1341, 476, 273, 327, 343, 1341, 476, 273, 5652, 1341, 524, 815, 476, 271, 692, 14197, 1448, 593, 519, 18592, 540, 519, 5858, 568, 13651, 1109, 11196, 327, 1341, 678, 6523, 383, 492, 382, 372, 267, 910, 330, 1341, 678, 7562, 383, 492, 382, 372, 6393, 1012, 17817, 540, 513, 17781, 538, 21069, 4813, 692, 763, 824, 1106, 540, 519, 3830, 540, 519, 5858, 568, 519, 8701, 1106, 540, 519, 5858, 267, 713, 1106, 540, 519, 5858, 568, 2147, 547, 519, 4164, 13011, 1106, 540, 519, 5858, 780, 22428, 649, 1491, 513, 1448, 593, 519, 18592, 540, 519, 5858, 630, 343, 267, 586, 264, 607, 630, 659, 657, 383, 492, 382, 372, 267, 536, 7562, 383, 492, 382, 372, 264, 950, 519, 1899, 11836, 519, 1448, 609, 519, 8998, 540, 519, 5858, 2306, 606, 5086, 3331, 492, 382, 372, 609, 519, 1535, 14289, 543, 519, 8953, 540, 519, 5858, 568, 2048, 320, 9957, 4746, 267, 519, 8998, 540, 519, 5858, 568, 519, 5169, 267, 630, 271, 267, 271, 264, 1287, 519, 3830, 540, 519, 5858, 568, 10484, 343, 815, 513, 5430, 383, 492, 382, 372, 2507, 263, 328, 264, 543, 586, 815, 513, 5609, 383, 492, 382, 372, 2507, 263, 4512, 2020, 3086, 649, 666, 3362, 6460, 519, 1657, 3830, 883, 519, 3044, 1106, 540, 519, 5858, 607, 10484, 306, 638, 2130, 543, 4946, 552, 336, 9217, 264, 543, 552, 336, 23870, 264, 649, 1205, 10484, 343, 273, 1341, 586, 273, 815, 513, 273, 5430, 273, 383, 492, 382, 372, 1341, 513, 273, 5609, 273, 3331, 492, 382, 372, 692, 343, 273, 1341, 586, 273, 815, 513, 273, 6262, 657, 273, 383, 492, 382, 372, 1341, 5609, 273, 3331, 492, 382, 372, 2020, 8794, 26344, 6248, 14740, 267, 5430, 273, 383, 492, 382, 372, 1341, 5609, 273, 3331, 492, 382, 372, 26115, 1109, 284, 272, 692, 343, 273, 1341, 586, 273, 815, 513, 273, 692, 3287, 268, 271, 264, 273, 1341, 630, 344, 268, 271, 264, 273, 815, 513, 273, 9236, 609, 630, 343, 1107, 554, 264, 273, 1341, 630, 344, 1107, 737, 264, 273, 815, 678, 273, 13651, 1109, 649, 1205, 13651, 692, 1892, 10418, 815, 630, 327, 267, 737, 264, 815, 630, 271, 267, 476, 271, 994, 1892, 7101, 3780, 815, 678, 815, 513, 692, 7078, 281, 4855, 519, 3830, 540, 519, 5858, 538, 519, 8701, 952, 519, 3830, 540, 519, 5858, 538, 3044, 1106, 568, 1535, 273, 1341, 586, 273, 815, 476, 1626, 780, 11405, 1384, 13420, 566, 540, 519, 5858, 538, 8701, 1106, 568, 10484, 343, 815, 678, 5430, 383, 492, 382, 372, 13651, 692, 344, 815, 678, 5609, 383, 492, 382, 372, 692, 6748, 713, 538, 1535, 273, 1341, 586, 273, 815, 476, 1626, 692, 16868, 5430, 383, 492, 382, 372, 264, 273, 26115, 1109, 266, 630, 337, 5609, 383, 492, 382, 372, 264, 273, 815, 476, 1626, 692, 337, 273, 6262, 657, 273, 383, 492, 382, 372, 1341, 5609, 273, 383, 492, 382, 372, 264, 815, 476, 1626, 692, 337, 273, 815, 476, 5655, 692, 337, 815, 476, 275, 692, 1012, 17817, 540, 513, 17781, 16754, 692, 763, 4542, 1031, 547, 5173, 519, 3830, 540, 519, 5858, 568, 10484, 3287, 1107, 1535, 272, 264, 273, 1341, 630, 344, 1107, 586, 272, 264, 273, 815, 678, 273, 10484, 3602, 267, 630, 343, 272, 267, 586, 272, 264, 568, 519, 8998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10824, 540, 1426, 538, 4395, 540, 1864, 693, 519, 1079, 512, 1512, 1780, 543, 782, 540, 873, 616, 538, 1585, 2829, 540, 10571, 630, 528, 1058, 602, 581, 3768, 816, 286, 1040, 834, 1320, 8812, 1530, 6948, 267, 616, 596, 4712, 8119, 543, 519, 7820, 22730, 586, 749, 1394, 8195, 834, 8133, 4258, 325, 10590, 543, 1287, 834, 23562, 4868, 7643, 267, 1946, 5749, 1405, 596, 4712, 286, 2668, 589, 27697, 588, 3518, 956, 543, 2220, 8986, 543, 546, 10449, 1472, 519, 7944, 547, 10544, 1945, 269, 834, 307, 523, 1530, 6948, 31657, 909, 10590, 3081, 21142, 543, 8188, 616, 512, 2246, 609, 6594, 5834, 607, 519, 3803, 7912, 8460, 616, 2322, 5196, 513, 8670, 269, 8080, 547, 519, 8748, 1158, 540, 513, 1164, 1439, 13962, 10051, 269, 1656, 513, 2370, 9963, 713, 1650, 568, 1279, 855, 4277, 865, 7017, 1524, 609, 513, 7484, 540, 7401, 610, 6995, 563, 1607, 2680, 729, 1250, 1297, 476, 272, 4584, 540, 519, 2898, 17638, 4139, 5253, 16635, 10872, 269, 11109, 2760, 2731, 1044, 538, 513, 10051, 585, 606, 6905, 1974, 540, 942, 630, 758, 594, 1185, 10272, 519, 23583, 681, 4461, 599, 681, 16281, 543, 8891, 6350, 6539, 29353, 543, 602, 729, 3078, 855, 602, 729, 585, 705, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30821, 527, 674, 2293, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 667, 17143, 338, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 2349, 8463, 5510, 883, 6611, 609, 2961, 12783, 1107, 27986, 13562, 2246, 338, 543, 12518, 689, 24658, 692, 5331, 596, 616, 606, 16106, 20829, 519, 4139, 6611, 13749, 630, 3041, 306, 1070, 28835, 7366, 540, 5195, 1657, 3047, 779, 2627, 269, 1306, 596, 10581, 1472, 519, 14361, 267, 2324, 29367, 547, 2932, 6901, 543, 2226, 707, 2713, 1604, 267, 972, 779, 1945, 856, 972, 602, 596, 666, 1406, 1294, 855, 7683, 27788, 596, 1765, 2784, 2747, 256, 901, 3184, 786, 6338, 596, 547, 5982, 4027, 543, 31364, 1210, 938, 3972, 344, 3659, 267, 519, 18803, 31577, 269, 2334, 779, 1318, 282, 713, 3597, 10448, 814, 930, 9058, 7907, 602, 1223, 948, 721, 2263, 4514, 883, 9018, 2230, 835, 1554, 269, 1924, 1577, 779, 4685, 538, 2439, 4089, 476, 272, 281, 1548, 22549, 1772, 24658, 888, 5785, 19030, 2691, 649, 5873, 827, 968, 2784, 2747, 2223, 621, 1419, 6770, 909, 2592, 540, 6046, 1379, 2371, 610, 15705, 7060, 899, 1346, 2938, 538, 2473, 5336, 523, 9413, 269, 1809, 1018, 1281, 5982, 2731, 1611, 538, 519, 2796, 540, 2230, 2951, 286, 15439, 2322, 267, 5982, 4016, 547, 1648, 3001, 998, 2230, 269, 2368, 2010, 540, 5982, 2874, 540, 6263, 5536, 10707, 693, 1164, 11250, 267, 1247, 1866, 616, 3029, 540, 1769, 602, 649, 3112, 13498, 609, 938, 4064, 269, 2755, 1034, 5982, 13514, 1100, 3463, 547, 3425, 267, 1978, 5686, 540, 5739, 5982, 2291, 538, 2230, 602, 666, 2800, 1312, 20691, 543, 2371, 269, 1677, 1174, 875, 547, 2149, 6000, 1996, 891, 12178, 267, 649, 1101, 991, 547, 917, 811, 827, 873, 780, 2162, 8791, 476, 273, 281, 17796, 540, 15053, 995, 24658, 538, 6611, 692, 2467, 616, 1079, 1292, 2959, 540, 13818, 5982, 1336, 538, 2230, 281, 3859, 17615, 5536, 630, 306, 7968, 338, 264, 543, 7523, 12519, 17184, 12345, 630, 294, 10135, 338, 1040, 590, 7968, 338, 22132, 689, 519, 6129, 1282, 7920, 2621, 1572, 3859, 1166, 4100, 267, 799, 5305, 7372, 5666, 540, 9901, 5536, 269, 717, 10135, 338, 2097, 689, 2484, 3564, 938, 9891, 3590, 267, 6383, 676, 3532, 18477, 4703, 971, 607, 3109, 9475, 543, 23377, 6801, 269, 5637, 590, 7968, 338, 543, 717, 10135, 338, 10460, 4220, 547, 1480, 1072, 543, 5907, 1949, 269, 2913, 781, 1451, 827, 741, 1761, 5222, 593, 2713, 7103, 899, 20691, 543, 2371, 780, 2971, 8791, 476, 274, 281, 12186, 540, 24658, 593, 12389, 5029, 3359, 692, 9617, 607, 7050, 4598, 547, 7943, 3123, 3141, 14315, 267, 12675, 3346, 609, 5739, 2230, 5982, 5012, 547, 3441, 1369, 2281, 269, 1879, 5982, 16716, 513, 1591, 267, 621, 666, 2736, 3114, 7554, 1063, 8444, 267, 1711, 18633, 6675, 1634, 607, 1863, 18119, 267, 543, 1256, 7369, 5027, 2497, 269, 3683, 942, 267, 19017, 3441, 949, 1291, 547, 16349, 10172, 267, 2860, 267, 610, 824, 3676, 269, 18641, 267, 2470, 2488, 2081, 547, 11574, 891, 2360, 269, 2290, 971, 2067, 3070, 2501, 689, 519, 11684, 31577, 780, 1262, 4089, 476, 275, 281, 2961, 12783, 607, 7849, 4347, 11367, 18830, 24658, 4373, 10111, 12783, 723, 1279, 1044, 6444, 585, 741, 9422, 2640, 1813, 547, 3638, 15934, 1543, 267, 3226, 12498, 21307, 582, 2940, 269, 4165, 9171, 1218, 9243, 1125, 1863, 18119, 3812, 950, 6534, 547, 9357, 1944, 5982, 267, 3976, 4227, 2949, 19842, 2566, 3361, 676, 5982, 4598, 269, 3958, 267, 1382, 5267, 602, 10438, 3536, 1164, 538, 6775, 267, 8324, 267, 543, 6886, 899, 17436, 1522, 3986, 5982, 4187, 538, 11864, 269, 4475, 267, 6220, 17436, 883, 11326, 2966, 585, 6905, 13978, 538, 2230, 13485, 1223, 5732, 24772, 16106, 6043, 1996, 5982, 14001, 14796, 780, 3719, 7227, 910, 972, 781, 811, 256, 14755, 7863, 3425, 267, 3744, 849, 8495, 2436, 7031, 6738, 1282, 2230, 4148, 2074, 1131, 4324, 689, 2147, 8825, 6127, 6035, 676, 17436, 269, 5994, 3395, 4195, 3132, 3330, 16264, 3039, 17346, 610, 6742, 1014, 7686, 2345, 1141, 789, 957, 607, 5982, 7496, 267, 3246, 12242, 2640, 540, 1426, 2504, 543, 8476, 2825, 4027, 269, 1215, 3579, 1131, 602, 581, 2496, 1103, 3932, 267, 1620, 5982, 4027, 543, 31364, 4249, 513, 2629, 1909, 538, 8600, 585, 2104, 2620, 1606, 10628, 3408, 269, 1635, 19713, 519, 1379, 540, 4948, 5388, 899, 17436, 267, 3173, 11441, 547, 1020, 5499, 2994, 602, 2327, 1312, 12284, 2818, 543, 2371, 2611, 2922, 2429, 741, 26300, 15362, 15322, 269, 2060, 5571, 7760, 538, 2029, 543, 7350, 267, 945, 6487, 1018, 1007, 8906, 24098, 721, 607, 649, 14679, 2417, 883, 519, 1390, 7164, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19741, 519, 17848, 281, 634, 18043, 16709, 540, 2961, 12783, 267, 4256, 8177, 267, 543, 4256, 15783, 454, 268, 4985, 547, 519, 1158, 540, 17436, 454, 268, 4197, 519, 9238, 540, 17436, 281, 9537, 543, 3601, 454, 268, 2961, 8527, 8129, 543, 3140, 4644, 454, 268, 2961, 8527, 781, 1747, 538, 519, 2030, 10806, 281, 634, 7442, 807, 576, 2801, 1920, 454, 268, 634, 2257, 3297, 17436, 281, 22845, 543, 2208, 1184, 454, 268, 13891, 6064, 532, 1455, 31577, 14868, 543, 20887, 454, 268, 21624, 31577, 5013, 543, 31851, 454, 268, 634, 1909, 540, 17436, 538, 5009, 513, 2635, 6197, 454, 268, 8466, 1646, 543, 14713, 540, 31577, 8677, 454, 268, 17959, 540, 3552, 17436, 543, 519, 3460, 547, 29143, 1709, 454, 268, 9147, 14713, 543, 31577, 946, 281, 5527, 267, 10255, 267, 543, 7507, 454, 268, 2961, 8527, 4720, 543, 4763, 538, 519, 5664, 12698, 543, 11193, 454, 268, 2961, 8527, 1083, 13926, 31047, 538, 519, 1715, 2622, 543, 20616, 3013, 454, 268, 634, 4473, 540, 2413, 31577, 9960, 543, 519, 1646, 540, 2442, 28212, 454, 268, 10289, 25752, 5979, 558, 543, 14758, 8153, 31577, 8677, 454, 268, 12634, 3466, 538, 31577, 14713, 543, 1490, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20238, 2747, 10466, 543, 1744, 1752, 532, 257, 607, 851, 540, 834, 306, 11799, 1315, 6611, 3163, 1315, 6611, 16709, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 26954, 674, 14166, 3690, 325, 619, 543, 7087, 7126, 538, 5403, 268, 18183, 539, 3130, 4516, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 8733, 16642, 19132, 543, 922, 4276, 547, 6805, 2924, 543, 21047, 538, 2022, 18101, 539, 3130, 4516, 269, 1284, 786, 2263, 519, 3140, 2796, 540, 6805, 2244, 946, 267, 519, 2956, 540, 7733, 543, 2067, 2200, 538, 6805, 4529, 267, 543, 875, 16642, 3609, 666, 1489, 6805, 1582, 24148, 543, 2825, 5726, 780, 4089, 476, 272, 281, 8466, 12745, 910, 7087, 8092, 2422, 543, 20616, 1143, 692, 2414, 1174, 519, 4644, 540, 8733, 16642, 19132, 538, 5885, 6805, 2924, 543, 21047, 267, 621, 781, 1271, 547, 1101, 4983, 519, 1686, 540, 6805, 2244, 946, 543, 19525, 538, 4516, 269, 13405, 547, 3864, 3346, 267, 6805, 9082, 1185, 513, 11455, 2078, 609, 519, 2244, 267, 9001, 2200, 30396, 998, 10122, 267, 10068, 267, 543, 6683, 269, 1717, 267, 609, 17091, 3357, 519, 791, 3789, 540, 5375, 3959, 20816, 602, 7006, 1601, 612, 539, 6805, 2950, 540, 741, 2757, 11182, 269, 901, 7006, 1601, 11970, 3366, 547, 2686, 11761, 267, 6710, 267, 543, 1514, 30886, 585, 1082, 6805, 2516, 780, 4089, 476, 273, 281, 634, 11957, 540, 5983, 7370, 543, 7849, 8249, 547, 7087, 27639, 692, 20288, 7370, 543, 2067, 2200, 3180, 10373, 2686, 4644, 585, 6805, 9082, 538, 4516, 269, 3509, 6805, 4654, 267, 5389, 267, 543, 5289, 2853, 616, 13615, 547, 1808, 8916, 543, 8134, 269, 5047, 267, 7733, 4196, 607, 2565, 2959, 540, 1426, 267, 4915, 267, 543, 2326, 585, 6805, 2950, 269, 1306, 971, 267, 7863, 891, 2127, 568, 1898, 585, 8497, 6805, 2528, 543, 3961, 780, 4089, 476, 274, 281, 4985, 547, 26954, 674, 14166, 3690, 325, 619, 692, 31319, 1670, 16642, 19132, 3277, 547, 2883, 6127, 2966, 547, 3895, 4264, 4199, 2359, 543, 12581, 3892, 540, 2640, 6508, 689, 2067, 2200, 269, 769, 519, 2013, 540, 7733, 267, 891, 19132, 949, 4125, 11033, 585, 5117, 2533, 267, 1141, 19654, 18689, 25808, 22771, 25318, 12403, 1841, 585, 4509, 2635, 7733, 269, 1635, 3246, 8907, 12535, 585, 2199, 6608, 543, 2950, 267, 8733, 16642, 19132, 666, 10996, 643, 1125, 3743, 19642, 543, 1489, 6805, 1582, 24148, 780, 4089, 476, 275, 281, 8865, 5530, 281, 26954, 674, 14166, 3690, 325, 619, 543, 7087, 18877, 538, 4516, 692, 28657, 814, 3144, 3268, 2509, 7598, 8733, 16642, 19132, 998, 3292, 899, 519, 11206, 12754, 26094, 5948, 540, 3703, 12052, 543, 519, 3689, 8315, 32645, 5358, 269, 1452, 7341, 2832, 547, 7668, 6805, 2950, 547, 4383, 741, 2757, 11182, 267, 5009, 1312, 2804, 1646, 543, 2825, 4027, 269, 2755, 2591, 2611, 267, 1519, 4180, 1863, 267, 1991, 267, 543, 5483, 9844, 540, 12936, 2950, 267, 891, 3646, 2099, 3356, 2509, 11028, 4290, 532, 8978, 4636, 338, 543, 2679, 513, 811, 8537, 267, 4264, 2104, 780, 4089, 476, 276, 281, 7351, 12367, 543, 8892, 19648, 692, 13146, 7835, 538, 8225, 3609, 2303, 3395, 6284, 540, 519, 991, 585, 8733, 16642, 19132, 547, 1489, 6805, 2924, 543, 21047, 269, 1280, 1383, 267, 519, 5313, 2229, 814, 8149, 547, 12561, 519, 2136, 8315, 16672, 593, 519, 7126, 540, 7087, 24447, 267, 799, 2882, 14074, 3823, 519, 1318, 547, 7119, 538, 3375, 6194, 827, 2067, 2200, 269, 5015, 267, 5499, 14104, 3631, 267, 971, 607, 1764, 10115, 543, 3039, 7554, 267, 2709, 1007, 3255, 585, 7616, 8733, 16642, 19132, 693, 4336, 780, 6962, 1384, 8139, 519, 4296, 1063, 8733, 16642, 19132, 267, 6805, 2924, 267, 543, 21047, 568, 1898, 585, 5466, 5571, 2591, 2404, 609, 4199, 2359, 543, 2146, 8171, 538, 4516, 269, 3414, 6297, 6514, 540, 3140, 2796, 267, 2686, 4644, 267, 543, 4207, 4507, 267, 649, 666, 960, 2509, 513, 811, 1175, 543, 4264, 2104, 585, 782, 23671, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 29613, 553, 547, 2962, 281, 4830, 1382, 585, 2518, 13884, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3080, 540, 519, 1158, 781, 1034, 1072, 2042, 2221, 568, 8377, 269, 25667, 568, 513, 2068, 602, 3322, 3170, 538, 519, 1560, 543, 2488, 707, 2949, 1072, 538, 3978, 7063, 269, 1403, 519, 4681, 540, 1007, 2090, 616, 5156, 267, 15730, 14038, 616, 827, 2185, 2053, 602, 540, 3384, 25524, 2860, 563, 1103, 519, 1353, 267, 3173, 9916, 476, 272, 267, 5400, 278, 267, 3374, 279, 6014, 2367, 543, 476, 15757, 547, 476, 3583, 278, 267, 18891, 2021, 563, 23804, 602, 519, 834, 7538, 257, 2597, 540, 2367, 568, 1447, 2597, 344, 543, 14402, 982, 602, 267, 18558, 814, 1044, 8995, 609, 2860, 4679, 7930, 563, 22137, 538, 519, 9435, 4750, 7000, 602, 2367, 616, 811, 2693, 547, 723, 2860, 693, 476, 274, 269, 6858, 2053, 811, 2693, 982, 2367, 267, 543, 476, 275, 269, 5881, 2053, 811, 2693, 547, 581, 538, 2021, 563, 11947, 3339, 19483, 543, 14968, 2550, 723, 513, 476, 5392, 2600, 2333, 538, 2860, 543, 476, 9032, 2600, 6606, 563, 303, 4545, 805, 545, 2860, 814, 1044, 3648, 2539, 538, 519, 2063, 476, 2412, 1296, 269, 898, 568, 835, 540, 519, 7887, 6146, 619, 538, 519, 1158, 563, 15253, 15929, 3114, 267, 6211, 267, 6211, 267, 7344, 267, 543, 7293, 2188, 616, 1336, 538, 18558, 2860, 2281, 563, 14722, 2161, 602, 7829, 2597, 666, 948, 2569, 519, 1981, 563, 291, 2884, 9669, 585, 28246, 6513, 454, 2080, 616, 930, 540, 519, 1655, 2853, 602, 616, 5227, 676, 938, 22639, 6484, 4274, 681, 1575, 8932, 13096, 3279, 547, 4308, 1732, 609, 713, 3510, 563, 272, 269, 7827, 519, 2959, 540, 15568, 19719, 2429, 2898, 9274, 269, 24583, 531, 9274, 540, 1439, 657, 704, 267, 10351, 267, 543, 4839, 616, 519, 9274, 585, 9274, 547, 3132, 1152, 1439, 657, 11279, 269, 898, 21560, 10286, 547, 1832, 782, 519, 5567, 689, 6986, 5810, 269, 14351, 13632, 899, 536, 1690, 571, 267, 986, 22080, 267, 22959, 267, 795, 578, 541, 3092, 269, 4414, 267, 3109, 267, 6960, 7573, 3079, 540, 3043, 7573, 563, 273, 269, 6145, 24799, 267, 621, 568, 1732, 547, 11547, 519, 3003, 8286, 269, 14076, 2742, 543, 26960, 752, 531, 553, 616, 930, 540, 519, 11993, 23238, 269, 1411, 666, 3434, 873, 267, 28667, 610, 27130, 563, 22879, 2699, 5779, 267, 2057, 10709, 5779, 899, 9269, 543, 13687, 269, 17006, 3940, 547, 1142, 540, 519, 3536, 2337, 2576, 945, 568, 3843, 547, 2569, 519, 2597, 540, 519, 3014, 786, 581, 513, 9059, 563, 275, 269, 20509, 5388, 538, 942, 269, 18766, 689, 8324, 267, 6886, 267, 543, 4550, 268, 31038, 1218, 267, 1312, 891, 1039, 6070, 543, 7135, 563, 276, 269, 2142, 835, 540, 519, 7887, 20737, 945, 2333, 8377, 538, 519, 1158, 269, 16258, 1426, 267, 8216, 1426, 267, 22304, 22938, 267, 12897, 267, 18437, 267, 3276, 3455, 543, 30653, 563, 263, 4415, 519, 594, 23177, 3403, 264, 0, 763, 3943, 1289, 621, 31025, 267, 519, 2296, 1289, 1973, 267, 519, 7895, 4842, 16586, 1025, 583, 267, 543, 519, 11317, 540, 519, 22966, 17155, 7276, 1374, 622, 621, 607, 476, 16141, 478, 269, 898, 568, 2854, 8335, 267, 621, 4992, 1932, 267, 596, 666, 1405, 1256, 24969, 621, 538, 4457, 267, 855, 1100, 2339, 875, 1114, 519, 1913, 616, 267, 789, 782, 723, 519, 1482, 2699, 2681, 269, 1411, 267, 4440, 267, 2907, 31665, 602, 4633, 2221, 786, 581, 513, 2243, 540, 1973, 269, 2859, 711, 1256, 827, 519, 1973, 3294, 267, 855, 827, 835, 540, 922, 1292, 2609, 910, 2699, 1973, 2281, 563, 2171, 1451, 875, 1271, 789, 616, 585, 938, 1560, 543, 875, 11506, 22980, 628, 24945, 5052, 538, 513, 1126, 1860, 1010, 2783, 563, 763, 1909, 540, 2699, 1973, 2281, 538, 519, 1560, 454, 292, 787, 628, 24945, 5052, 616, 2699, 1973, 2281, 269, 901, 568, 835, 540, 519, 1973, 2281, 602, 267, 2059, 609, 32151, 14231, 543, 6676, 7410, 267, 568, 538, 922, 11919, 269, 4256, 1297, 538, 938, 1560, 568, 796, 19960, 514, 2406, 1804, 281, 1152, 538, 476, 272, 24140, 269, 6515, 540, 1973, 3568, 476, 276, 2929, 2699, 1973, 2281, 269, 4032, 875, 1082, 2699, 1973, 2281, 538, 782, 2947, 20990, 2336, 2690, 9355, 267, 4952, 606, 1858, 540, 476, 274, 269, 279, 8536, 4009, 7397, 269, 544, 267, 1175, 865, 1454, 786, 1491, 519, 2699, 1973, 2281, 540, 835, 1268, 269, 1656, 2094, 972, 616, 865, 1082, 540, 873, 267, 789, 616, 8655, 519, 1034, 3743, 1909, 269, 1358, 1683, 519, 6765, 540, 5135, 543, 5567, 547, 519, 1034, 6552, 15174, 540, 938, 1560, 269, 1403, 621, 941, 711, 585, 519, 2699, 1973, 2281, 267, 938, 2281, 1223, 711, 13236, 267, 3548, 267, 1332, 610, 2671, 563, 2252, 649, 4983, 519, 22980, 628, 24945, 974, 896, 513, 17209, 267, 1287, 649, 786, 1294, 513, 1507, 1560, 540, 513, 29008, 344, 2497, 269, 769, 519, 22405, 540, 713, 26703, 267, 607, 538, 5094, 735, 25902, 267, 24562, 11084, 1694, 9395, 267, 13105, 547, 13105, 267, 799, 948, 2699, 1973, 2281, 538, 741, 2352, 960, 540, 519, 8502, 563, 19868, 2065, 6765, 10325, 538, 513, 16866, 4528, 1568, 899, 713, 912, 268, 4414, 1973, 2281, 616, 4535, 538, 519, 5642, 20768, 563, 268, 26431, 267, 789, 2253, 547, 3132, 24562, 563, 268, 1879, 1973, 6770, 2699, 1973, 2281, 547, 519, 9641, 267, 24562, 25907, 519, 1863, 5135, 6675, 972, 543, 11438, 873, 883, 519, 2281, 540, 782, 1560, 8031, 563, 268, 11109, 6603, 519, 3803, 3804, 267, 24562, 3947, 5135, 547, 519, 1591, 543, 3217, 3327, 8166, 689, 621, 563, 268, 4329, 2059, 519, 15532, 267, 519, 2699, 1973, 2281, 3142, 3327, 8166, 883, 519, 9641, 267, 689, 1141, 621, 568, 6569, 1282, 519, 608, 15595, 566, 1184, 563, 13070, 872, 267, 519, 960, 540, 2699, 1973, 2281, 568, 711, 2653, 267, 1577, 781, 3068, 621, 585, 5957, 267, 865, 789, 2661, 513, 2110, 942, 267, 711, 811, 982, 476, 275, 3275, 269, 634, 9907, 1973, 2281, 12446, 693, 519, 2063, 12062, 910, 519, 838, 22220, 267, 1141, 789, 6368, 2736, 909, 269, 634, 3788, 540, 22980, 628, 24945, 5052, 616, 13603, 909, 676, 519, 18072, 543, 11843, 547, 519, 5642, 20768, 269, 1703, 609, 741, 946, 1762, 2699, 1973, 2281, 616, 9903, 730, 563, 292, 787, 628, 24945, 5052, 538, 519, 1973, 616, 11506, 538, 513, 1126, 281, 3123, 454, 3080, 540, 519, 10832, 538, 519, 2164, 540, 23020, 2079, 540, 1973, 568, 519, 5834, 540, 2699, 1973, 2281, 269, 25392, 741, 1599, 538, 519, 1560, 267, 621, 666, 581, 10924, 602, 11506, 22980, 628, 24945, 5052, 538, 513, 1126, 1267, 689, 13385, 3761, 540, 5135, 547, 8031, 563, 1607, 4523, 538, 11613, 2635, 1453, 945, 616, 8362, 3238, 538, 5026, 269, 1656, 713, 568, 711, 9670, 267, 2094, 609, 2834, 2168, 11851, 542, 267, 16757, 8031, 991, 606, 8476, 5135, 3761, 7154, 269, 634, 1482, 7613, 568, 4767, 538, 1453, 23493, 538, 29990, 2127, 267, 1141, 519, 5135, 1543, 538, 519, 2011, 568, 1447, 982, 538, 519, 6366, 14099, 563, 2691, 1281, 519, 2699, 1973, 1591, 1293, 2333, 538, 519, 10729, 888, 1103, 1312, 4079, 543, 1453, 267, 10729, 1058, 711, 2270, 2699, 1973, 2281, 538, 513, 2635, 1533, 269, 1403, 789, 616, 1459, 972, 267, 1287, 538, 606, 2179, 540, 711, 811, 982, 476, 273, 268, 275, 4559, 538, 519, 7298, 2361, 540, 22794, 540, 10729, 11159, 269, 29175, 730, 2699, 1973, 2281, 538, 519, 10729, 540, 513, 1126, 5815, 519, 4527, 540, 21454, 563, 303, 6372, 3123, 540, 11506, 2699, 1973, 2281, 538, 519, 10729, 610, 22104, 22202, 1331, 912, 268, 6553, 267, 11926, 267, 610, 8194, 547, 519, 23443, 1562, 267, 14401, 267, 17256, 12324, 267, 15485, 3248, 268, 8650, 3566, 8344, 610, 10194, 5563, 3248, 268, 4835, 1625, 12040, 3157, 267, 25687, 3248, 268, 17441, 4713, 3248, 268, 9402, 21420, 11166, 1282, 12982, 3157, 3248, 268, 519, 1198, 540, 12675, 2566, 267, 28400, 15041, 10899, 2566, 3248, 268, 4636, 543, 796, 29446, 2732, 3248, 268, 2799, 2168, 2534, 602, 1281, 711, 5330, 547, 519, 2085, 543, 10605, 540, 1646, 540, 519, 1126, 779, 1560, 563, 1432, 547, 798, 888, 2026, 596, 2907, 6956, 267, 22980, 628, 24945, 339, 2670, 3294, 568, 711, 513, 2068, 267, 855, 2864, 6411, 607, 513, 10835, 540, 1978, 2010, 540, 3676, 540, 1585, 8219, 269, 1677, 3339, 1125, 519, 5834, 540, 2699, 1973, 2281, 538, 519, 1126, 779, 1973, 267, 621, 568, 2556, 547, 2253, 676, 8159, 519, 2601, 585, 741, 2333, 269, 1656, 1934, 267, 1510, 519, 7589, 540, 513, 22104, 6048, 267, 596, 666, 15991, 4383, 269, 1261, 786, 2932, 519, 2556, 2090, 267, 519, 2164, 540, 799, 786, 3313, 519, 2417, 12485, 540, 2126, 563, 1103, 707, 1379, 547, 4163, 856, 15324, 3800, 912, 268, 621, 568, 2556, 547, 2333, 547, 476, 272, 269, 276, 20990, 519, 2179, 540, 5714, 10057, 676, 519, 1126, 1282, 519, 1554, 3248, 268, 13772, 519, 2298, 540, 1216, 267, 621, 1058, 711, 2270, 20841, 538, 4430, 3248, 268, 621, 568, 2556, 547, 2569, 519, 4616, 540, 24494, 3327, 730, 10425, 3248, 268, 23590, 519, 2732, 540, 519, 1126, 267, 2333, 519, 1297, 540, 2067, 2472, 3638, 538, 2890, 324, 6123, 543, 8324, 267, 5613, 543, 5388, 3565, 547, 519, 2504, 540, 2699, 1973, 2281, 540, 519, 2953, 1106, 563, 24876, 909, 3983, 6208, 267, 1291, 513, 2953, 6197, 3054, 543, 3895, 621, 1851, 1920, 543, 2828, 269, 1635, 1383, 267, 6338, 1453, 547, 2168, 2069, 543, 5026, 267, 2191, 269, 1656, 1287, 538, 513, 2635, 1560, 513, 2635, 6891, 786, 9090, 2408, 256, 0, 2171, 1397, 602, 513, 16864, 4603, 814, 513, 1761, 547, 6166, 610, 7947, 519, 1871, 476, 272, 269, 276, 260, 540, 519, 3859, 24788, 13920, 11911, 547, 513, 595, 17472, 268, 12860, 676, 519, 3044, 3859, 2203, 543, 547, 6961, 602, 519, 3017, 1063, 2698, 1648, 5305, 540, 519, 6129, 543, 1018, 568, 3812, 538, 513, 7250, 5311, 568, 2731, 3812, 538, 595, 17472, 4783, 269, 901, 786, 581, 519, 22608, 1449, 540, 519, 3069, 540, 24974, 4720, 543, 519, 26694, 540, 519, 1279, 29280, 3804, 1107, 519, 22011, 3626, 21655, 540, 519, 9703, 540, 519, 6129, 269, 2311, 519, 1459, 942, 835, 666, 1294, 1100, 824, 1259, 547, 4194, 713, 4305, 267, 621, 666, 581, 12913, 1152, 609, 513, 16864, 18785, 9001, 922, 1164, 8417, 547, 595, 17472, 16250, 583, 12541, 657, 543, 1360, 1164, 6111, 538, 519, 7811, 6268, 540, 519, 3444, 16687, 540, 22011, 3626, 7001, 676, 9149, 269, 634, 9382, 2982, 602, 4352, 513, 16864, 18785, 568, 513, 10237, 12950, 835, 267, 21246, 958, 621, 568, 2009, 547, 1265, 14384, 519, 13441, 525, 540, 715, 268, 543, 744, 16250, 583, 12541, 657, 563, 288, 19077, 1756, 15331, 607, 519, 21642, 550, 4530, 540, 519, 7869, 540, 853, 15362, 12472, 563, 2304, 520, 8432, 918, 641, 2643, 990, 543, 4406, 2044, 8891, 4157, 327, 990, 454, 9743, 3482, 540, 17437, 3194, 540, 6739, 9142, 540, 7070, 454, 14056, 24374, 18293, 267, 18370, 1051, 540, 476, 2568, 628, 7788, 15208, 540, 5239, 7169, 476, 278, 288, 454, 763, 3119, 3804, 540, 519, 3859, 22011, 3626, 4603, 2094, 519, 2038, 5123, 540, 519, 1382, 10660, 1229, 676, 31434, 16026, 729, 1101, 910, 547, 6961, 519, 22243, 3000, 13086, 2470, 540, 519, 1648, 5108, 538, 519, 9703, 540, 519, 6129, 543, 2034, 910, 547, 1265, 519, 8097, 2963, 602, 519, 6129, 31438, 676, 519, 6032, 7302, 664, 543, 711, 676, 519, 595, 17472, 4783, 269, 17652, 519, 3804, 729, 19775, 476, 607, 513, 968, 10468, 583, 337, 3626, 15190, 18122, 540, 519, 25181, 540, 519, 6129, 892, 630, 10064, 3041, 1040, 4595, 602, 942, 519, 2941, 1190, 8097, 1570, 729, 19017, 1547, 634, 2361, 5828, 856, 547, 581, 1360, 11327, 267, 519, 6901, 711, 1152, 3177, 519, 1101, 1463, 2963, 540, 519, 22243, 3000, 13086, 2470, 540, 519, 1648, 540, 519, 6129, 267, 789, 4362, 10416, 1007, 3601, 540, 6120, 12541, 657, 1107, 22011, 3626, 14251, 725, 543, 6027, 922, 6724, 281, 544, 543, 11544, 5086, 1547, 634, 3356, 538, 713, 2361, 568, 2731, 1360, 11141, 269, 769, 513, 1906, 1296, 950, 513, 16864, 1788, 786, 581, 4712, 585, 519, 20185, 607, 513, 2407, 8397, 4603, 267, 513, 2603, 811, 786, 581, 12913, 281, 10416, 782, 22011, 3626, 13441, 525, 540, 7250, 268, 30084, 6547, 543, 849, 519, 22011, 3626, 14251, 566, 6724, 786, 581, 6027, 609, 1434, 6111, 269, 634, 1152, 3364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 343, 815, 5286, 30784, 1052, 263, 271, 267, 276, 994, 1457, 29719, 18828, 269, 10339, 21726, 267, 11459, 284, 271, 269, 272, 2020, 6783, 8443, 476, 272, 269, 9826, 5780, 278, 276, 2073, 476, 476, 273, 269, 278, 2420, 279, 1691, 6321, 267, 476, 476, 278, 269, 25002, 4391, 278, 3374, 267, 476, 736, 269, 15686, 271, 3066, 6321, 267, 476, 7918, 269, 6924, 280, 4572, 5379, 316, 9239, 1012, 14451, 11352, 14216, 643, 2510, 692, 15152, 4070, 692, 1012, 6201, 692, 2162, 13177, 3126, 692, 4131, 781, 4729, 519, 13177, 9971, 1269, 307, 318, 274, 3287, 7751, 540, 4110, 476, 274, 10704, 693, 1269, 343, 284, 271, 259, 585, 1269, 325, 3287, 264, 815, 1422, 2765, 346, 274, 324, 28682, 2410, 343, 317, 273, 1341, 1535, 1341, 476, 272, 4151, 936, 519, 8884, 1269, 343, 1422, 514, 30585, 274, 267, 274, 316, 10608, 3689, 267, 1577, 781, 4729, 519, 3113, 1269, 344, 284, 325, 3287, 7751, 1384, 343, 815, 5286, 7456, 1231, 10628, 8987, 274, 267, 274, 267, 1911, 994, 325, 815, 25754, 1535, 281, 476, 274, 265, 12639, 269, 10339, 3287, 264, 1315, 630, 343, 1262, 273, 1341, 1535, 1341, 476, 272, 994, 344, 815, 535, 3287, 994, 10823, 19502, 3287, 11971, 11850, 10823, 20481, 30800, 4131, 781, 12337, 519, 14170, 1269, 320, 5332, 815, 1422, 2765, 346, 325, 3867, 263, 333, 264, 12917, 271, 20972, 333, 256, 4151, 585, 1269, 333, 284, 271, 267, 272, 267, 273, 267, 274, 259, 1384, 320, 271, 815, 535, 263, 271, 994, 320, 272, 815, 12045, 6600, 267, 271, 267, 11459, 284, 271, 269, 9826, 19885, 284, 272, 994, 320, 273, 815, 12045, 6600, 267, 271, 267, 11459, 284, 271, 269, 9826, 19885, 284, 273, 264, 1315, 476, 273, 454, 320, 274, 815, 12045, 6600, 267, 271, 267, 11459, 284, 271, 269, 9826, 19885, 284, 274, 267, 4650, 284, 276, 264, 1315, 476, 277, 454, 258, 634, 9936, 1931, 23403, 519, 1297, 540, 2798, 547, 946, 454, 258, 634, 1871, 1931, 1590, 581, 9642, 543, 693, 2547, 562, 1341, 476, 272, 692, 2745, 5416, 271, 28083, 272, 28083, 273, 28083, 274, 2020, 274, 269, 271, 476, 272, 269, 15886, 4200, 279, 4343, 280, 11277, 3445, 273, 277, 324, 268, 6187, 910, 272, 269, 4335, 1822, 23841, 22903, 9834, 476, 272, 269, 15886, 4200, 273, 271, 2568, 5952, 273, 5780, 273, 273, 7531, 7661, 267, 1577, 781, 4729, 1269, 325, 3287, 7751, 543, 1269, 307, 318, 274, 3287, 7751, 1927, 1384, 307, 274, 815, 513, 271, 1341, 513, 272, 20080, 1341, 513, 273, 20080, 1262, 273, 1341, 513, 274, 20080, 1262, 274, 454, 10823, 19502, 3287, 11971, 21726, 267, 307, 274, 1070, 12301, 11859, 3916, 8443, 268, 274, 267, 274, 25818, 12301, 269, 2643, 574, 8443, 271, 267, 276, 8079, 3248, 10823, 20481, 30800, 2162, 20211, 3259, 692, 2237, 513, 1599, 1572, 9095, 28747, 799, 3217, 6724, 535, 267, 513, 267, 536, 267, 554, 543, 715, 543, 7024, 606, 19406, 540, 519, 9095, 3259, 540, 1269, 325, 3287, 7751, 689, 1269, 320, 259, 547, 1269, 321, 6911, 2330, 299, 1422, 13627, 1422, 842, 19963, 317, 321, 1422, 6912, 346, 476, 272, 1341, 1422, 3847, 263, 535, 21948, 343, 264, 1422, 2431, 8203, 273, 7684, 15848, 9681, 763, 1599, 3096, 519, 25671, 1355, 4341, 630, 2675, 27251, 269, 15759, 3433, 6745, 1905, 345, 264, 547, 7447, 519, 7533, 543, 519, 3844, 3017, 4542, 547, 16977, 1269, 325, 21948, 343, 30879, 8074, 602, 649, 666, 1405, 946, 519, 3844, 3017, 4542, 693, 519, 1439, 9557, 1317, 789, 946, 1269, 343, 259, 2418, 3544, 519, 8884, 1269, 314, 320, 14720, 316, 259, 543, 938, 1599, 949, 711, 581, 3989, 972, 780, 5814, 1085, 27251, 269, 15759, 3433, 607, 838, 328, 692, 3698, 9095, 28747, 6600, 28083, 14720, 267, 327, 284, 271, 269, 9826, 267, 301, 284, 1911, 271, 2187, 18257, 7343, 6918, 1493, 519, 9095, 3259, 540, 586, 284, 325, 3287, 264, 689, 1535, 30381, 547, 1535, 284, 321, 780, 13640, 600, 4394, 454, 1366, 734, 454, 325, 2433, 630, 19066, 1242, 264, 1599, 540, 835, 4756, 454, 320, 14720, 2433, 2338, 10747, 519, 8884, 1496, 320, 14720, 2639, 327, 2433, 1900, 2450, 547, 946, 538, 3017, 12596, 454, 301, 2433, 1297, 540, 1016, 5793, 10094, 538, 25671, 1355, 1505, 692, 14303, 5281, 454, 9339, 8894, 7343, 6918, 11582, 540, 519, 7533, 1422, 842, 19963, 317, 321, 1422, 6912, 346, 272, 1341, 630, 325, 21948, 343, 4297, 317, 273, 348, 15848, 454, 10517, 6974, 532, 519, 9095, 3259, 540, 586, 284, 325, 3287, 264, 689, 1535, 30381, 547, 1535, 284, 321, 563, 18411, 343, 815, 5286, 7456, 1231, 10628, 5416, 14720, 267, 301, 266, 272, 994, 344, 815, 535, 3287, 2020, 258, 30770, 3844, 3017, 4542, 585, 1535, 17624, 585, 476, 272, 1299, 2741, 282, 284, 737, 1299, 2741, 282, 284, 715, 268, 272, 454, 327, 815, 5286, 269, 2381, 8443, 327, 267, 263, 321, 8584, 8358, 301, 8079, 1948, 5269, 2386, 602, 554, 568, 4130, 982, 519, 2450, 540, 519, 1016, 5793, 10094, 454, 343, 318, 5793, 1640, 815, 1535, 314, 272, 18737, 272, 2639, 4206, 318, 5793, 1640, 815, 630, 325, 3287, 318, 5793, 1640, 1341, 554, 264, 910, 535, 3287, 318, 5793, 1640, 910, 554, 4297, 14370, 273, 265, 327, 2020, 258, 2422, 4464, 270, 3724, 1189, 3017, 4542, 693, 519, 1439, 9557, 454, 4206, 19963, 815, 630, 325, 5416, 1341, 554, 264, 910, 535, 5416, 4297, 270, 327, 454, 4206, 10734, 815, 630, 325, 6357, 264, 910, 535, 6357, 910, 554, 4297, 270, 327, 454, 4206, 815, 5286, 19544, 23637, 31912, 4206, 19963, 3910, 4206, 318, 5793, 1640, 267, 314, 4206, 10734, 14963, 2020, 258, 30770, 2418, 540, 519, 2076, 8681, 538, 9095, 3259, 4542, 454, 344, 815, 5286, 28460, 263, 272, 1341, 17093, 1262, 273, 2020, 258, 30770, 519, 7533, 454, 299, 815, 838, 328, 6745, 1905, 345, 12169, 21726, 2020, 8873, 700, 7531, 4131, 781, 1449, 938, 1599, 609, 3403, 1141, 649, 917, 519, 3169, 3977, 269, 1280, 1383, 267, 519, 9095, 3259, 540, 1269, 325, 3287, 6661, 343, 259, 689, 1269, 320, 284, 271, 259, 547, 1269, 321, 284, 272, 259, 568, 1269, 299, 7807, 6912, 346, 273, 4151, 543, 649, 12337, 692, 2117, 28747, 10857, 10033, 1535, 281, 1535, 267, 271, 267, 272, 2020, 272, 269, 29300, 22659, 6321, 273, 32699, 271, 4817, 279, 7531, 663, 5635, 609, 519, 3169, 1871, 692, 12639, 28460, 263, 273, 2020, 272, 269, 29300, 22659, 6321, 273, 32699, 271, 4817, 272, 7531, 763, 9095, 3259, 540, 1269, 325, 3287, 21174, 6912, 346, 272, 910, 1535, 317, 273, 4151, 689, 1269, 320, 284, 271, 259, 547, 1269, 321, 7807, 2765, 346, 272, 7346, 6912, 346, 273, 22288, 568, 1269, 299, 7807, 2765, 3189, 7032, 2410, 275, 4151, 543, 649, 12337, 692, 2117, 28747, 10857, 10033, 1535, 281, 5286, 28460, 263, 272, 910, 1535, 1262, 273, 1070, 271, 267, 272, 270, 12639, 28460, 263, 273, 11723, 271, 269, 4281, 276, 4375, 279, 24699, 16825, 5038, 278, 279, 7531, 663, 5635, 547, 519, 3169, 1871, 692, 12639, 32564, 270, 275, 692, 271, 269, 4281, 276, 4375, 279, 14321, 4375, 278, 275, 4366, 274, 7531, 763, 9095, 3259, 540, 1269, 325, 3287, 21174, 2765, 346, 273, 343, 3867, 274, 270, 273, 12453, 274, 4151, 689, 1269, 320, 284, 271, 259, 547, 1269, 321, 284, 272, 259, 568, 1269, 299, 815, 1422, 2765, 346, 273, 2410, 274, 4153, 3847, 263, 476, 273, 3867, 274, 270, 273, 348, 910, 476, 272, 1422, 2431, 7751, 543, 649, 12337, 692, 2117, 28747, 10857, 10033, 1535, 281, 476, 273, 16732, 343, 1262, 263, 274, 270, 273, 4297, 270, 274, 267, 271, 267, 272, 267, 327, 284, 1015, 1262, 8987, 1015, 1070, 301, 284, 1015, 1262, 276, 2020, 272, 269, 25908, 4817, 272, 4510, 278, 3607, 272, 276, 2537, 274, 7531, 663, 5635, 547, 519, 3169, 1871, 692, 263, 273, 270, 274, 31618, 273, 1262, 263, 274, 270, 273, 264, 910, 476, 272, 2020, 272, 269, 25908, 4817, 272, 275, 1626, 5392, 278, 29121, 273, 7531, 1012, 20113, 692, 272, 269, 2422, 12045, 547, 12337, 2418, 543, 1287, 4729, 519, 12045, 1269, 325, 21948, 343, 7751, 540, 519, 1599, 692, 2330, 325, 3287, 264, 815, 1422, 2765, 346, 278, 343, 317, 274, 268, 276, 343, 266, 272, 2410, 273, 343, 317, 275, 21147, 317, 273, 266, 272, 348, 1422, 2073, 1422, 1535, 1422, 514, 30585, 276, 267, 276, 316, 9681, 15253, 1393, 519, 12045, 540, 1269, 325, 3287, 7751, 676, 1688, 630, 6748, 519, 23479, 4341, 1070, 4729, 519, 4542, 585, 1269, 325, 21948, 343, 7751, 543, 5635, 547, 519, 10230, 19406, 1657, 780, 273, 269, 18140, 519, 13177, 9971, 1269, 307, 318, 275, 3287, 7751, 540, 4110, 476, 275, 10704, 693, 1269, 343, 284, 271, 259, 540, 519, 1599, 692, 2330, 325, 3287, 264, 815, 1422, 6523, 3287, 264, 1341, 1422, 7562, 263, 273, 343, 264, 9681, 1478, 519, 8884, 1269, 343, 1422, 514, 1496, 10559, 7032, 12101, 7032, 316, 10608, 0, 258, 7726, 281, 1772, 476, 6434, 589, 19940, 7089, 2496, 1012, 1215, 1082, 2898, 2338, 616, 972, 1063, 476, 3953, 543, 476, 7871, 2496, 736, 2898, 2338, 17798, 267, 972, 616, 476, 736, 2898, 2338, 1063, 476, 3953, 543, 476, 7871, 269, 780, 1012, 1772, 476, 3374, 513, 2898, 1297, 2496, 3374, 260, 568, 711, 513, 2898, 1297, 780, 1012, 1215, 1082, 2898, 2338, 616, 972, 1063, 476, 1839, 543, 476, 11025, 2496, 6321, 763, 2898, 2338, 616, 972, 1063, 476, 1839, 543, 476, 11025, 616, 476, 6321, 780, 1012, 1215, 1082, 2898, 2338, 616, 972, 1063, 476, 7871, 543, 476, 7761, 2496, 278, 1704, 272, 616, 782, 2898, 1297, 1063, 476, 7871, 543, 476, 7761, 12813, 313, 27107, 298, 6789, 589, 645, 6938, 2562, 299, 296, 12239, 780, 1012, 1548, 568, 1572, 2898, 1297, 2496, 763, 1305, 540, 5432, 2338, 630, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 543, 865, 593, 264, 3006, 1572, 2067, 2338, 610, 10203, 2338, 269, 1879, 789, 616, 1572, 10203, 2338, 267, 4642, 568, 711, 3769, 780, 1012, 1215, 1082, 2898, 2338, 616, 972, 909, 547, 476, 1911, 2496, 6200, 2898, 2338, 12585, 269, 476, 6200, 2898, 2338, 616, 972, 909, 547, 476, 1911, 780, 1012, 1548, 2186, 540, 1297, 568, 476, 3374, 2496, 763, 1297, 476, 3374, 568, 513, 7787, 1297, 952, 476, 3374, 666, 581, 6829, 607, 513, 5223, 267, 607, 538, 17241, 2316, 302, 2522, 269, 589, 23479, 568, 519, 1267, 596, 1205, 950, 596, 7941, 835, 1297, 676, 1776, 1297, 269, 1280, 476, 3374, 547, 581, 513, 7787, 1297, 267, 519, 23479, 540, 1079, 9981, 1590, 3160, 476, 3374, 780, 1012, 1215, 1082, 2898, 2338, 616, 972, 1063, 476, 7367, 543, 476, 10463, 2496, 6078, 267, 476, 5655, 267, 476, 6246, 267, 476, 4510, 267, 476, 3393, 267, 476, 5379, 267, 476, 5325, 267, 476, 4366, 267, 476, 5392, 267, 476, 2004, 267, 476, 7906, 267, 7367, 267, 476, 7871, 267, 476, 7918, 267, 476, 4649, 267, 476, 6321, 267, 476, 6872, 267, 476, 6812, 267, 476, 6795, 267, 476, 2568, 267, 476, 8618, 267, 476, 7830, 267, 476, 8287, 267, 476, 5038, 267, 476, 4792, 267, 476, 5780, 267, 476, 6858, 267, 476, 6924, 267, 476, 7597, 267, 476, 3583, 267, 10170, 267, 476, 7761, 267, 476, 10463, 267, 476, 10619, 267, 476, 4037, 267, 476, 10602, 267, 476, 6507, 267, 476, 4281, 267, 476, 8064, 267, 476, 3199, 267, 476, 10037, 267, 476, 11025, 267, 476, 10695, 267, 476, 10019, 267, 476, 5952, 267, 476, 10436, 267, 476, 9262, 267, 476, 6434, 267, 476, 8660, 267, 3445, 267, 476, 11011, 267, 476, 10844, 267, 476, 11152, 267, 476, 11463, 267, 4817, 267, 476, 9834, 267, 476, 9032, 267, 476, 7176, 267, 476, 4200, 267, 476, 1911, 780, 1012, 1772, 476, 4097, 513, 2898, 1297, 2496, 763, 1101, 476, 1911, 2898, 2338, 616, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 2918, 267, 476, 2767, 267, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2710, 1079, 2942, 22197, 4482, 888, 25821, 10997, 543, 11275, 1143, 2147, 454, 9617, 607, 519, 2318, 22791, 264, 543, 2942, 630, 6629, 264, 5122, 10997, 4482, 1142, 824, 267, 519, 715, 543, 590, 18635, 540, 513, 11275, 4482, 1142, 824, 269, 769, 5201, 899, 10997, 1065, 601, 267, 543, 538, 11275, 1143, 899, 18635, 1065, 601, 563, 6701, 782, 2326, 13631, 547, 513, 11275, 888, 300, 8568, 2326, 616, 2141, 1500, 540, 4496, 267, 855, 711, 782, 8407, 616, 6419, 269, 11635, 568, 6419, 267, 865, 1022, 4496, 609, 4401, 538, 621, 786, 581, 13631, 547, 513, 11275, 269, 2560, 4107, 824, 8407, 267, 585, 1383, 26459, 267, 7601, 543, 4154, 267, 616, 10691, 6419, 269, 5565, 8407, 602, 5749, 1406, 6419, 616, 4154, 543, 8988, 563, 1432, 3615, 616, 711, 13631, 547, 22197, 888, 17829, 2326, 799, 616, 711, 13631, 676, 513, 11275, 616, 1572, 1875, 268, 6419, 2326, 269, 2353, 519, 6878, 824, 982, 4401, 267, 19695, 267, 543, 595, 28240, 616, 1875, 2173, 8568, 6878, 585, 1383, 5068, 267, 12285, 267, 1216, 267, 3092, 616, 1875, 332, 8568, 2326, 563, 1432, 2306, 513, 11275, 2318, 610, 2942, 888, 300, 1725, 1115, 723, 741, 1378, 18635, 602, 1448, 4724, 519, 3047, 779, 18635, 269, 2560, 634, 1439, 540, 519, 11275, 15738, 5087, 568, 519, 2942, 2427, 540, 519, 11275, 269, 634, 1439, 540, 519, 11275, 15738, 5045, 568, 519, 2318, 2427, 540, 519, 11275, 563, 2710, 22197, 1152, 4482, 824, 22197, 888, 300, 1725, 1115, 666, 849, 4482, 1142, 824, 267, 855, 1152, 952, 789, 3068, 538, 6587, 8846, 269, 589, 11275, 814, 1079, 7475, 1572, 18635, 282, 835, 1439, 568, 519, 5087, 15393, 543, 519, 824, 568, 519, 5045, 15393, 269, 589, 5087, 15393, 786, 4482, 513, 5045, 15393, 282, 519, 22197, 7485, 593, 1142, 824, 269, 2560, 589, 22315, 568, 513, 6263, 11275, 7059, 593, 513, 1448, 865, 621, 666, 2490, 11884, 563, 1432, 568, 1875, 2173, 8568, 888, 15239, 2173, 8568, 6878, 616, 6878, 602, 798, 711, 1205, 13631, 676, 513, 11275, 269, 23225, 540, 519, 2326, 616, 3574, 267, 5068, 267, 7601, 267, 12285, 269, 0, 30108, 538, 932, 1618, 281, 7323, 570, 269, 6022, 1067, 454, 25583, 5565, 9012, 912, 18439, 269, 9181, 269, 5071, 269, 8073, 563, 18439, 519, 1158, 540, 2923, 910, 689, 519, 5133, 540, 519, 21951, 543, 519, 17082, 269, 13028, 875, 547, 5660, 1018, 596, 1294, 267, 5873, 543, 2070, 269, 1306, 596, 10625, 2417, 1620, 267, 596, 786, 946, 707, 1702, 547, 1020, 543, 543, 1118, 2923, 5931, 269, 901, 786, 849, 4125, 4687, 707, 4690, 267, 2319, 5698, 267, 1374, 3206, 543, 1818, 2631, 540, 513, 2039, 540, 1007, 1570, 269, 1403, 596, 616, 5461, 538, 17912, 269, 27657, 269, 15571, 269, 31055, 269, 4317, 9012, 269, 5071, 1862, 1413, 1100, 2417, 563, 1607, 1576, 786, 6338, 596, 547, 519, 1292, 3334, 540, 2923, 543, 606, 4367, 547, 519, 2872, 269, 634, 4441, 6035, 786, 4125, 7421, 9186, 267, 1818, 2631, 540, 6041, 267, 1620, 9135, 538, 1931, 547, 5352, 707, 1378, 20072, 543, 2870, 707, 1378, 2923, 1587, 543, 5931, 563, 2252, 596, 2972, 3384, 707, 5876, 267, 2565, 3206, 267, 543, 596, 1616, 2104, 5059, 1983, 267, 1377, 476, 273, 32212, 8656, 568, 513, 1590, 563, 25413, 2264, 3763, 518, 267, 6465, 2065, 1014, 267, 21541, 518, 267, 3213, 778, 28265, 518, 20081, 3234, 1067, 267, 18753, 2776, 1790, 816, 4518, 518, 267, 10439, 8585, 577, 663, 16014, 267, 11819, 540, 2296, 547, 4325, 5474, 540, 4033, 19932, 630, 2464, 5357, 1070, 6176, 5303, 11629, 267, 10794, 3763, 518, 267, 7353, 19212, 267, 14871, 15232, 5071, 518, 267, 4530, 8890, 560, 267, 1323, 574, 1807, 270, 19445, 30310, 267, 589, 2758, 267, 31055, 28154, 267, 25767, 23116, 267, 19833, 543, 16373, 15440, 267, 16581, 26260, 677, 12734, 13693, 656, 267, 3203, 10615, 630, 23742, 332, 267, 27657, 610, 8609, 1070, 30310, 267, 3203, 2065, 10615, 267, 17912, 543, 11473, 15503, 267, 14675, 3353, 6509, 267, 9373, 1555, 518, 267, 17912, 270, 5938, 7697, 31396, 7358, 1807, 267, 6076, 8688, 528, 267, 19737, 10615, 270, 2419, 3971, 15445, 267, 5369, 6048, 267, 4750, 626, 267, 18753, 5071, 518, 267, 18058, 12333, 267, 14502, 27752, 267, 15503, 267, 5269, 5346, 30310, 267, 10615, 630, 23742, 332, 267, 27657, 267, 15571, 610, 8609, 1070, 15571, 10558, 518, 267, 31071, 9534, 5917, 16014, 267, 9012, 21277, 1356, 267, 13870, 19608, 630, 23742, 332, 267, 27657, 267, 15571, 610, 8609, 1070, 31786, 3353, 6509, 267, 12729, 3427, 11819, 267, 20157, 4115, 267, 28046, 3213, 268, 867, 13541, 267, 27657, 10558, 518, 267, 16373, 28154, 267, 4578, 8890, 560, 0, 13286, 476, 29024, 267, 12619, 711, 1336, 888, 5472, 540, 721, 723, 513, 1480, 6211, 9219, 8743, 532, 1369, 721, 267, 538, 13076, 547, 519, 476, 2190, 16923, 10047, 540, 519, 3618, 269, 6787, 649, 616, 25805, 610, 18069, 267, 713, 9219, 8952, 8743, 532, 543, 7506, 782, 1480, 15629, 2238, 899, 10307, 267, 14000, 267, 3207, 267, 7099, 267, 3092, 563, 1607, 6211, 9219, 11479, 938, 27266, 11733, 269, 8562, 6598, 18819, 666, 3310, 3207, 2914, 820, 9979, 267, 9449, 5305, 267, 1560, 2837, 543, 824, 1271, 15629, 3252, 269, 1358, 723, 1044, 5532, 547, 1585, 3207, 4713, 267, 971, 607, 20026, 269, 2806, 7538, 27266, 18819, 723, 849, 1044, 2404, 609, 8377, 267, 3987, 267, 4965, 267, 17299, 4524, 267, 3092, 563, 10214, 5634, 21463, 547, 519, 27266, 11733, 1267, 538, 3207, 4713, 267, 1141, 596, 1745, 7411, 538, 9991, 18069, 267, 7411, 538, 9363, 18069, 267, 610, 24971, 909, 538, 1063, 3207, 543, 711, 2111, 547, 2887, 18069, 1586, 269, 634, 1032, 940, 547, 1491, 513, 23040, 1282, 519, 2324, 3108, 8952, 4730, 593, 519, 2247, 543, 519, 9854, 689, 519, 3105, 1554, 1869, 19388, 619, 593, 269, 1879, 596, 1376, 513, 1007, 1554, 609, 606, 13385, 7274, 540, 3207, 267, 596, 1810, 1406, 1745, 18589, 1117, 543, 678, 2130, 6619, 269, 1879, 713, 5170, 585, 513, 9645, 1974, 267, 568, 454, 3080, 666, 1995, 713, 17522, 540, 27266, 11733, 950, 649, 8038, 2066, 1114, 942, 10851, 267, 799, 649, 1289, 607, 32591, 18848, 269, 634, 1560, 779, 9219, 786, 5555, 19268, 3294, 1310, 513, 7008, 540, 2395, 563, 11900, 17410, 5036, 538, 5097, 1317, 540, 6197, 2242, 267, 2951, 543, 519, 2404, 9363, 538, 20730, 543, 741, 9867, 5127, 1299, 20974, 816, 5888, 267, 2348, 1007, 23899, 9002, 693, 1753, 267, 960, 610, 2123, 1644, 2566, 267, 21852, 1299, 9072, 267, 16607, 1426, 6981, 267, 952, 596, 616, 593, 1978, 6646, 267, 3092, 269, 1703, 666, 581, 2417, 538, 1410, 9151, 1043, 4128, 563, 2026, 649, 917, 267, 1034, 540, 519, 942, 267, 3207, 4713, 616, 6140, 1582, 19899, 21719, 267, 1284, 782, 13842, 621, 950, 649, 666, 1406, 3207, 855, 666, 649, 798, 4376, 827, 621, 286, 1772, 972, 513, 10826, 547, 6184, 17410, 286, 634, 2626, 568, 962, 2464, 269, 589, 3643, 547, 513, 10629, 1131, 4194, 519, 1966, 267, 610, 693, 10782, 513, 31897, 781, 5796, 1131, 2097, 538, 13561, 563, 1103, 865, 2484, 607, 10151, 21463, 616, 7255, 267, 621, 1522, 1205, 17251, 5555, 267, 855, 950, 519, 1966, 568, 12675, 267, 621, 2115, 7525, 15360, 269, 9320, 621, 568, 606, 16315, 540, 606, 5817, 2168, 4524, 8506, 14849, 2564, 6304, 561, 652, 621, 24395, 919, 538, 10335, 563, 12709, 14319, 2882, 7598, 513, 1434, 3207, 9882, 269, 901, 2882, 2469, 547, 5127, 543, 24971, 909, 693, 519, 1482, 942, 1142, 1554, 267, 12145, 24817, 3207, 267, 543, 711, 6704, 14933, 2673, 547, 21557, 269, 898, 666, 849, 581, 1271, 547, 1711, 513, 6296, 1354, 596, 979, 547, 3207, 269, 769, 1840, 267, 596, 1058, 2057, 7050, 5496, 942, 2443, 2523, 1354, 5127, 2443, 607, 713, 814, 849, 1044, 5532, 547, 20026, 269, 0, 5278, 2249, 267, 971, 607, 533, 699, 326, 9068, 23881, 4621, 267, 723, 2362, 6668, 3928, 610, 1732, 9960, 1967, 538, 4872, 982, 538, 6917, 2127, 269, 2368, 1256, 4782, 2749, 2675, 16747, 269, 589, 5811, 476, 1001, 278, 856, 540, 476, 276, 3066, 6177, 2249, 5001, 267, 476, 5780, 941, 1336, 1152, 538, 4683, 2127, 267, 1519, 711, 1152, 5929, 4683, 5017, 899, 3552, 25190, 976, 267, 855, 849, 513, 3099, 540, 2249, 5065, 547, 741, 4525, 267, 971, 607, 519, 8738, 8089, 26449, 543, 3109, 543, 2699, 1710, 2583, 269, 4340, 547, 1776, 2743, 1586, 267, 3309, 2950, 540, 5065, 13520, 2249, 6414, 538, 4872, 1472, 519, 1158, 267, 543, 538, 1896, 2665, 811, 3309, 543, 10731, 5065, 13520, 5095, 2661, 538, 4872, 982, 538, 15231, 6917, 8916, 269, 769, 5245, 267, 3173, 5063, 4857, 476, 4375, 13155, 968, 18431, 4960, 892, 2249, 602, 7639, 1152, 538, 1507, 15649, 540, 4683, 7226, 267, 1519, 4054, 267, 19211, 267, 513, 14854, 267, 513, 2879, 841, 543, 1256, 30597, 563, 2690, 5553, 267, 20012, 814, 8507, 538, 519, 7372, 17594, 543, 26610, 540, 2067, 10664, 269, 2991, 519, 3355, 14213, 267, 513, 1950, 24463, 540, 1007, 9249, 7768, 540, 5065, 267, 1875, 28921, 543, 12362, 2371, 7153, 267, 13856, 676, 5656, 267, 9897, 543, 824, 6650, 2365, 7252, 543, 13572, 609, 5533, 563, 31413, 3235, 5505, 1294, 873, 607, 513, 3126, 540, 968, 16344, 1562, 892, 602, 1118, 621, 2352, 585, 1082, 2249, 547, 6414, 538, 4872, 267, 2523, 1346, 609, 1808, 7226, 2115, 269, 631, 2643, 320, 1488, 976, 517, 267, 606, 4683, 3235, 6048, 693, 31089, 7970, 2160, 267, 11329, 856, 267, 585, 1383, 267, 602, 865, 10777, 2144, 545, 17675, 2371, 971, 607, 30207, 543, 11002, 617, 30705, 6425, 267, 799, 2154, 15755, 11934, 267, 723, 20374, 689, 4872, 269, 589, 21483, 2014, 267, 1352, 1767, 267, 568, 602, 6405, 814, 2799, 519, 30175, 6541, 540, 4683, 5054, 563, 2026, 20012, 5170, 547, 10460, 513, 1713, 3463, 547, 2249, 543, 8134, 267, 4872, 616, 31523, 609, 513, 968, 342, 16093, 2685, 3309, 892, 5044, 540, 23349, 9249, 968, 6518, 949, 1683, 1271, 7226, 610, 2200, 585, 5065, 9265, 1848, 5206, 2160, 540, 24332, 3744, 538, 476, 1001, 279, 2376, 11094, 7350, 269, 1452, 2039, 689, 24790, 540, 5065, 8134, 971, 607, 7733, 267, 19126, 543, 26377, 267, 547, 2757, 4683, 3039, 5624, 971, 607, 11614, 267, 1394, 29288, 543, 524, 655, 2678, 625, 267, 607, 1134, 607, 17075, 6030, 267, 4683, 11396, 269, 543, 2146, 10651, 269, 3958, 267, 607, 4872, 1902, 538, 3039, 5989, 547, 11574, 2825, 3441, 267, 7320, 5051, 26328, 1007, 12137, 1127, 267, 1519, 3039, 22908, 543, 812, 13402, 19126, 267, 543, 3935, 3278, 2025, 6960, 26753, 543, 729, 339, 14657, 269, 1547, 1656, 519, 2318, 5107, 602, 4872, 1404, 538, 5009, 9265, 968, 4754, 581, 8476, 676, 18532, 1374, 2223, 2328, 519, 4589, 540, 519, 645, 3930, 31190, 2376, 593, 519, 968, 6420, 2329, 540, 6211, 24301, 9731, 1103, 2487, 1296, 267, 4683, 3235, 5505, 723, 20077, 856, 513, 1007, 13395, 585, 2933, 538, 519, 2361, 540, 5726, 7350, 269, 589, 25761, 2376, 267, 3370, 538, 476, 1001, 275, 267, 9916, 476, 8099, 4872, 538, 513, 2039, 540, 6915, 613, 4919, 4525, 609, 2347, 6427, 1559, 540, 17055, 2030, 1272, 543, 476, 7918, 609, 2347, 6177, 8638, 269, 4340, 547, 547, 1353, 267, 4872, 723, 17477, 1034, 540, 741, 5065, 9265, 269, 1717, 267, 1488, 976, 517, 267, 519, 1291, 2278, 540, 519, 2376, 267, 543, 1010, 9164, 849, 1336, 602, 2371, 543, 5017, 538, 519, 4872, 6594, 1185, 1831, 1454, 1447, 10731, 267, 9561, 476, 4037, 260, 543, 476, 10844, 260, 540, 741, 840, 268, 18076, 5860, 267, 6606, 563, 5194, 5748, 1957, 540, 12124, 11094, 10334, 267, 3370, 1079, 1296, 2663, 267, 729, 2854, 676, 8241, 3744, 945, 4362, 602, 4872, 616, 1753, 547, 476, 1789, 2600, 540, 519, 2197, 779, 13155, 2371, 543, 2831, 267, 1519, 2961, 10109, 344, 779, 3109, 15483, 520, 5622, 267, 513, 1804, 15535, 13895, 15483, 520, 5622, 602, 2729, 1152, 538, 22236, 5245, 267, 1141, 1804, 8397, 6683, 814, 27929, 1454, 540, 922, 7226, 269, 769, 1249, 267, 789, 1336, 602, 4872, 8659, 3648, 811, 13155, 2249, 829, 4009, 9481, 518, 982, 1875, 268, 18076, 2127, 269, 968, 288, 26894, 4872, 616, 1271, 585, 519, 5726, 540, 13155, 2249, 2223, 789, 5206, 563, 14722, 723, 4766, 1896, 2081, 538, 799, 4683, 2127, 666, 4324, 6237, 9265, 269, 1280, 1383, 267, 4872, 666, 1683, 9675, 689, 12503, 971, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 3349, 2394, 646, 6913, 606, 6876, 646, 12211, 602, 556, 12298, 1767, 621, 729, 4277, 602, 646, 1058, 3142, 909, 5323, 321, 2406, 519, 1034, 1775, 1713, 5821, 538, 556, 12298, 781, 4914, 3609, 7018, 6251, 547, 1753, 267, 538, 3844, 13314, 267, 519, 865, 341, 2884, 4346, 1317, 968, 328, 4312, 1044, 3206, 269, 634, 556, 12298, 7245, 3357, 883, 5604, 30418, 602, 513, 4099, 12328, 540, 922, 4914, 3609, 1131, 581, 513, 2112, 593, 9810, 602, 2112, 593, 9810, 814, 849, 1044, 1163, 2426, 539, 689, 3140, 9637, 267, 1317, 519, 6364, 3112, 11593, 581, 11368, 883, 519, 17374, 281, 1851, 873, 606, 6059, 476, 1428, 2929, 538, 519, 22681, 10617, 269, 634, 1985, 25071, 936, 519, 865, 10777, 1036, 534, 14985, 568, 519, 8717, 6040, 13618, 602, 13314, 1058, 3251, 856, 540, 519, 3540, 2112, 538, 2587, 7637, 1759, 593, 519, 3661, 602, 519, 8087, 2829, 1058, 4217, 4550, 268, 10919, 626, 5191, 25881, 10876, 267, 2609, 1369, 519, 556, 12298, 7245, 543, 538, 18322, 616, 269, 634, 968, 516, 12298, 14985, 2223, 607, 1010, 3609, 3357, 547, 581, 1634, 267, 4401, 1227, 3576, 922, 29692, 689, 865, 341, 2884, 1489, 538, 519, 476, 3192, 271, 338, 585, 2451, 626, 31837, 2102, 2886, 538, 21562, 543, 3844, 519, 14230, 540, 713, 1032, 2223, 2013, 344, 1767, 646, 729, 1299, 671, 638, 22223, 2887, 6876, 602, 596, 1058, 2263, 7616, 8925, 609, 519, 1496, 10517, 6974, 2510, 540, 568, 5361, 316, 543, 1866, 563, 2108, 1258, 12245, 556, 12298, 543, 10324, 1379, 892, 12116, 519, 946, 540, 16232, 7060, 676, 678, 10735, 556, 12298, 267, 519, 6830, 328, 996, 7022, 540, 519, 8087, 2829, 621, 7710, 2376, 13797, 540, 519, 11156, 267, 799, 14828, 519, 7022, 10324, 4073, 268, 476, 619, 950, 596, 723, 6192, 713, 3992, 267, 596, 1058, 581, 2111, 547, 2491, 543, 1865, 875, 269, 20553, 12900, 1185, 1831, 4922, 17947, 607, 513, 3992, 540, 519, 556, 12298, 1296, 1256, 1354, 519, 7022, 781, 519, 835, 2197, 1141, 7311, 519, 556, 12298, 14985, 1185, 513, 1713, 4411, 2112, 2628, 4752, 729, 7192, 12174, 6017, 14097, 1765, 515, 1705, 8977, 689, 1010, 3355, 1404, 1504, 267, 543, 713, 8112, 729, 1271, 538, 7175, 1689, 538, 519, 269, 5518, 1073, 4821, 781, 4914, 3609, 4633, 693, 7178, 1448, 593, 12311, 11888, 814, 2907, 15427, 1776, 5180, 540, 7521, 827, 2436, 972, 781, 971, 513, 3364, 607, 606, 968, 984, 4821, 14985, 892, 13915, 2161, 646, 2115, 835, 11652, 789, 2356, 723, 1945, 811, 16757, 538, 2247, 1073, 4821, 4667, 547, 1265, 713, 1899, 540, 9880, 269, 589, 29724, 3146, 12298, 924, 6264, 4640, 3091, 519, 2386, 560, 3391, 585, 19620, 543, 24569, 7819, 30493, 538, 519, 476, 2641, 560, 2540, 621, 16621, 519, 3741, 540, 519, 15713, 1510, 13581, 532, 519, 21064, 6650, 2510, 540, 1379, 543, 2520, 641, 29176, 621, 26912, 12885, 721, 689, 519, 533, 612, 574, 1143, 540, 32601, 1483, 1235, 267, 945, 563, 19604, 1245, 554, 784, 9857, 737, 2129, 267, 14646, 1631, 752, 267, 9240, 591, 795, 24944, 556, 525, 267, 543, 705, 12646, 546, 865, 17304, 518, 267, 519, 14097, 1379, 267, 476, 6246, 579, 544, 22585, 561, 2847, 476, 6200, 20465, 28409, 540, 519, 6845, 622, 267, 519, 556, 12298, 7245, 6035, 519, 21393, 15007, 585, 5796, 1294, 15090, 5459, 267, 519, 3352, 534, 6433, 949, 798, 558, 519, 556, 12298, 14985, 23829, 1134, 607, 519, 269, 4438, 519, 556, 12298, 7245, 267, 519, 8087, 2829, 3649, 519, 5294, 543, 931, 593, 519, 556, 12298, 14985, 543, 922, 2360, 593, 25399, 543, 519, 4411, 2112, 3817, 476, 275, 1913, 476, 280, 2412, 519, 721, 946, 540, 546, 18863, 25366, 3459, 538, 476, 3422, 280, 267, 543, 5449, 27504, 562, 21779, 543, 585, 323, 1312, 6462, 713, 676, 19142, 21308, 602, 14931, 519, 946, 540, 563, 763, 7022, 849, 6411, 607, 519, 8689, 540, 4914, 3609, 676, 6966, 532, 519, 23122, 540, 1533, 543, 5605, 817, 611, 832, 547, 4914, 2477, 891, 7060, 616, 3838, 609, 519, 6845, 622, 267, 799, 814, 519, 6392, 547, 6166, 16232, 20499, 547, 891, 13646, 543, 547, 18973, 593, 543, 9844, 547, 21308, 1500, 676, 519, 7022, 538, 2259, 269, 31144, 4682, 593, 547, 3094, 1007, 8423, 23137, 543, 1034, 540, 519, 824, 2101, 2215, 2456, 543, 9411, 519, 15007, 609, 513, 4971, 532, 1291, 646, 4465, 519, 9930, 1588, 593, 519, 1101, 3440, 582, 609, 476, 272, 267, 280, 4375, 16018, 547, 713, 3609, 267, 799, 2968, 1634, 607, 519, 556, 12298, 14985, 267, 729, 4294, 609, 1880, 1990, 7002, 538, 32204, 13314, 269, 634, 556, 12298, 14985, 13859, 1368, 518, 18115, 553, 538, 2587, 7637, 267, 12137, 31804, 7699, 543, 7192, 12174, 6017, 547, 6370, 27581, 2261, 343, 626, 20816, 972, 568, 2370, 8969, 602, 789, 941, 5461, 538, 519, 3448, 6617, 540, 6046, 26027, 602, 729, 6913, 538, 519, 11157, 625, 609, 519, 6070, 1184, 543, 519, 705, 332, 14097, 855, 741, 3527, 941, 269, 2201, 15292, 476, 1789, 267, 476, 2735, 272, 267, 7022, 678, 10735, 556, 12298, 729, 8929, 676, 14646, 530, 554, 1074, 2917, 267, 795, 337, 267, 1247, 6028, 519, 11067, 2023, 554, 559, 2023, 15678, 1310, 4758, 513, 4633, 519, 7022, 729, 5734, 896, 1010, 2451, 575, 12643, 5995, 341, 543, 556, 12298, 2743, 538, 11067, 2023, 267, 546, 322, 267, 543, 1129, 519, 13591, 2039, 6046, 4229, 14097, 476, 4905, 270, 3066, 270, 2735, 279, 281, 556, 12298, 10238, 1080, 563, 288, 5758, 540, 4914, 3609, 281, 476, 2735, 272, 1700, 2735, 280, 538, 1412, 338, 678, 10735, 556, 12298, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 678, 10735, 556, 12298, 543, 1018, 621, 1797, 3501, 585, 1035, 532, 3594, 267, 4255, 267, 543, 17118, 267, 607, 1134, 607, 585, 1603, 3992, 4566, 269, 4813, 518, 16232, 11134, 14646, 544, 764, 664, 814, 1572, 1010, 1378, 4914, 1790, 32123, 5784, 513, 476, 2641, 560, 10601, 3609, 7664, 540, 519, 556, 12298, 14985, 855, 538, 476, 2735, 278, 267, 519, 1079, 2367, 9896, 519, 13591, 24365, 6046, 4229, 630, 8882, 264, 14097, 267, 519, 4411, 2112, 781, 1034, 2484, 23568, 7916, 3146, 9134, 6876, 676, 476, 2735, 279, 563, 3725, 12298, 14985, 267, 476, 2735, 276, 519, 968, 516, 12298, 14985, 892, 729, 1031, 547, 21656, 519, 556, 12298, 7245, 781, 630, 2735, 272, 268, 2735, 279, 264, 3609, 540, 5885, 4550, 268, 10919, 626, 1202, 4026, 757, 16382, 789, 1522, 581, 538, 1010, 476, 2735, 276, 1533, 540, 519, 9769, 2232, 267, 7022, 678, 10735, 556, 12298, 1572, 2390, 18322, 543, 519, 7819, 1004, 547, 1796, 909, 547, 519, 269, 901, 5098, 12116, 7819, 4914, 3609, 2509, 519, 865, 341, 2884, 9769, 538, 519, 476, 2735, 271, 338, 267, 543, 11394, 547, 3313, 7022, 678, 10735, 556, 12298, 781, 3312, 1353, 593, 519, 556, 12298, 14985, 602, 11912, 2066, 519, 3818, 16162, 9918, 4610, 540, 3486, 1894, 267, 543, 575, 12643, 5995, 341, 19758, 1524, 936, 521, 10972, 281, 519, 1102, 14097, 269, 769, 1010, 1533, 540, 519, 9769, 2232, 267, 7022, 678, 10735, 556, 12298, 11225, 930, 540, 519, 1883, 2035, 540, 1010, 4914, 3609, 267, 9591, 1018, 2501, 547, 581, 1634, 607, 519, 1282, 519, 7819, 2112, 585, 7115, 267, 13222, 689, 519, 8087, 2829, 543, 535, 8896, 1129, 519, 14097, 540, 993, 640, 543, 16450, 543, 519, 14097, 540, 269, 634, 556, 12298, 14985, 267, 2687, 547, 3059, 1686, 267, 7153, 689, 519, 2038, 1296, 540, 678, 10735, 556, 12298, 781, 24164, 267, 950, 4411, 2112, 13253, 1063, 519, 865, 341, 2884, 9769, 543, 519, 8087, 2829, 14556, 1881, 556, 12298, 9411, 5604, 7184, 19035, 540, 519, 865, 341, 2884, 9769, 556, 12298, 4330, 519, 865, 341, 2884, 9769, 607, 1412, 534, 269, 0, 2419, 1682, 5652, 543, 2960, 1676, 543, 6436, 540, 1893, 1646, 1557, 5885, 513, 1126, 781, 1646, 609, 4633, 267, 1893, 267, 543, 2792, 269, 1684, 596, 917, 875, 1082, 1913, 707, 1126, 12038, 2221, 899, 561, 6511, 2968, 2442, 267, 621, 1522, 1711, 1007, 14541, 12201, 585, 4633, 1646, 269, 13690, 554, 691, 2917, 14592, 519, 2956, 540, 4633, 543, 1893, 2792, 547, 1434, 15970, 543, 1126, 1646, 563, 21982, 1983, 543, 5711, 1893, 1646, 723, 513, 2178, 1764, 593, 948, 707, 1126, 5431, 519, 2078, 1063, 4633, 543, 1603, 269, 1403, 596, 616, 8384, 890, 653, 320, 6477, 2228, 610, 593, 513, 546, 341, 323, 267, 5000, 707, 1126, 547, 3442, 585, 811, 1344, 593, 5009, 4633, 543, 1893, 1646, 11783, 2311, 1579, 22093, 6217, 1299, 4633, 4099, 267, 938, 4633, 25082, 2619, 5505, 1683, 3102, 2533, 547, 948, 1453, 543, 4079, 1020, 610, 22919, 563, 2026, 2417, 2963, 540, 519, 2956, 540, 15073, 547, 1126, 1646, 267, 513, 1279, 3856, 519, 1126, 781, 2702, 547, 3927, 946, 17391, 4393, 547, 5806, 3729, 4633, 269, 15448, 538, 519, 2634, 2014, 513, 6521, 538, 1453, 781, 3206, 543, 6340, 1451, 811, 827, 707, 1647, 1153, 518, 781, 1646, 269, 1703, 616, 6266, 540, 2238, 3237, 543, 1416, 3464, 666, 798, 547, 12954, 543, 5000, 4633, 543, 1893, 1646, 649, 4363, 596, 3717, 547, 707, 1126, 781, 269, 20182, 267, 1908, 523, 546, 267, 1524, 6794, 543, 1893, 1646, 949, 6961, 5538, 17331, 585, 4633, 543, 1893, 1646, 538, 1453, 563, 288, 3099, 540, 2188, 666, 3310, 1893, 1646, 538, 1453, 666, 581, 1031, 547, 960, 609, 1053, 7680, 1893, 543, 4633, 7965, 267, 607, 1134, 1547, 18748, 1893, 1646, 835, 540, 519, 3815, 602, 12018, 1453, 781, 3007, 17211, 30759, 4524, 723, 3908, 4633, 513, 11095, 610, 269, 1133, 29434, 748, 13170, 540, 513, 1007, 1412, 21504, 1790, 3016, 262, 11450, 1063, 519, 2749, 540, 535, 5142, 1723, 267, 922, 535, 5142, 1723, 2804, 543, 2146, 1646, 14078, 543, 2150, 1547, 5678, 1646, 568, 513, 1184, 4358, 2038, 538, 1480, 1272, 12256, 1376, 1510, 6616, 513, 3335, 267, 1453, 1020, 32615, 1893, 5759, 1354, 741, 11913, 610, 22192, 1893, 10953, 32615, 1126, 268, 9859, 4633, 30211, 593, 1507, 4295, 6863, 267, 1934, 543, 1631, 3584, 267, 27105, 11132, 269, 5753, 609, 4633, 543, 1893, 2152, 616, 1851, 513, 1360, 1455, 1895, 602, 616, 693, 513, 1981, 540, 11095, 267, 1565, 267, 24040, 543, 563, 763, 4320, 6227, 3584, 689, 2038, 547, 3735, 1893, 1646, 267, 922, 5872, 609, 7924, 2853, 267, 1519, 1896, 4654, 267, 3594, 538, 22632, 540, 561, 559, 10005, 547, 331, 577, 31582, 519, 1893, 540, 1860, 538, 19636, 1126, 9859, 4633, 269, 1234, 21082, 1893, 666, 581, 5280, 676, 513, 4819, 2631, 4633, 2619, 6048, 1018, 616, 519, 2679, 7161, 2556, 547, 1020, 22192, 1893, 630, 6748, 1913, 1547, 5753, 781, 32615, 1893, 1646, 476, 271, 268, 276, 22192, 27366, 689, 593, 1496, 12133, 519, 4266, 269, 5131, 1557, 281, 4948, 649, 616, 3384, 1100, 2339, 938, 2085, 267, 855, 621, 568, 875, 649, 1020, 1453, 602, 786, 2995, 513, 16854, 2179, 606, 1367, 875, 513, 1126, 563, 19733, 1382, 543, 1126, 1646, 693, 1957, 18544, 4574, 1865, 519, 5615, 540, 1453, 609, 4633, 8488, 543, 4983, 519, 2009, 3123, 269, 1280, 930, 1453, 267, 2705, 267, 713, 1893, 23923, 618, 1184, 3668, 540, 11913, 14242, 693, 1753, 267, 610, 513, 1920, 1686, 540, 4633, 17799, 269, 932, 1682, 5652, 11099, 602, 1169, 1126, 814, 513, 1412, 331, 4833, 11601, 3926, 262, 610, 17078, 519, 1893, 9275, 1472, 873, 568, 3810, 12150, 1107, 2937, 781, 4633, 568, 1419, 269, 21231, 267, 713, 1557, 14550, 519, 2956, 540, 1404, 676, 10503, 922, 6688, 24903, 267, 1404, 568, 513, 4105, 851, 540, 1453, 781, 1646, 799, 814, 1082, 568, 15469, 543, 602, 693, 519, 2085, 540, 2185, 1453, 946, 1514, 4633, 563, 288, 3844, 2243, 814, 1044, 519, 6708, 547, 799, 891, 2934, 540, 1126, 30928, 4633, 630, 322, 1091, 264, 616, 16762, 540, 1453, 781, 2557, 540, 1893, 1646, 269, 5678, 11601, 3029, 513, 2565, 3942, 538, 1646, 540, 1453, 585, 1893, 267, 1480, 12256, 1131, 581, 8572, 547, 1451, 971, 2347, 4633, 3270, 269, 968, 1492, 11601, 540, 1893, 543, 4633, 4667, 632, 1061, 1947, 2241, 1762, 1453, 1451, 741, 3993, 11469, 6385, 543, 24672, 267, 689, 3777, 17331, 693, 3670, 269, 0, 11795, 2397, 1063, 12007, 543, 11050, 1382, 538, 1239, 4015, 267, 2228, 12220, 267, 1957, 12220, 267, 3067, 16666, 1382, 267, 543, 3067, 16666, 1239, 269, 3848, 476, 275, 1382, 12191 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 1079, 8454, 513, 11486, 543, 524, 7933, 267, 713, 666, 581, 6829, 607, 705, 6440, 7251, 30381, 6440, 322, 321, 6440, 323, 780, 4131, 779, 1413, 693, 606, 1383, 540, 875, 547, 7157, 4019, 713, 4341, 269, 2913, 779, 2161, 649, 723, 513, 4009, 4171, 2427, 568, 3160, 547, 835, 10230, 1770, 269, 3973, 519, 1858, 540, 722, 489, 25991, 1492, 4137, 786, 581, 476, 272, 4009, 269, 1770, 269, 1403, 649, 7941, 519, 4009, 883, 3160, 25965, 609, 5011, 3160, 547, 476, 1691, 543, 476, 1240, 10230, 4559, 267, 649, 1205, 602, 621, 1631, 5161, 540, 476, 3953, 25965, 630, 20357, 476, 279, 476, 275, 815, 476, 3953, 1040, 22353, 267, 519, 1858, 540, 722, 489, 25991, 26421, 540, 873, 786, 581, 3160, 547, 476, 15171, 540, 519, 1858, 540, 722, 489, 25991, 1492, 3003, 4137, 267, 1775, 4318, 269, 476, 15171, 13483, 269, 4559, 780, 9202, 267, 649, 991, 547, 2681, 513, 851, 540, 519, 3312, 4009, 607, 621, 568, 2944, 538, 519, 4137, 1384, 2171, 723, 513, 26484, 23650, 609, 5011, 3160, 547, 476, 6812, 10230, 4559, 543, 476, 4097, 10230, 4559, 269, 22353, 267, 547, 5173, 922, 1858, 267, 621, 568, 2556, 547, 9062, 519, 1101, 6824, 676, 519, 2034, 269, 898, 786, 581, 3160, 547, 476, 6812, 476, 4097, 13483, 269, 4559, 269, 1809, 649, 666, 3274, 1293, 875, 1082, 25965, 616, 3769, 538, 519, 23650, 281, 972, 616, 476, 1428, 540, 873, 267, 799, 1797, 602, 519, 2698, 1858, 568, 476, 14631, 273, 4009, 4559, 780, 7712, 476, 276, 476, 274, 284, 1428, 543, 476, 279, 476, 275, 284, 3953, 267, 649, 666, 2328, 519, 1739, 3830, 1384, 6812, 476, 4097, 284, 276, 476, 4343, 476, 275, 284, 14631, 273, 692, 2005, 568, 513, 21533, 540, 938, 4341, 585, 14921, 8723, 8454, 267, 799, 568, 6829, 607, 705, 524, 323, 30381, 524, 321, 546, 269, 898, 1568, 519, 1482, 585, 1312, 1697, 543, 16789, 8454, 282, 898, 666, 581, 1031, 547, 9062, 8454, 609, 1114, 543, 519, 1482, 32159, 780, 4131, 779, 5659, 519, 3435, 540, 1896, 2042, 593, 519, 8691, 540, 8723, 8454, 780, 7078, 476, 272, 692, 11372, 17586, 476, 278, 1556, 676, 476, 7176, 780, 11405, 692, 2414, 2253, 609, 267, 649, 5173, 519, 1587, 540, 519, 6746, 2209, 540, 519, 8612, 8454, 267, 14921, 476, 278, 676, 476, 280, 269, 1284, 3893, 476, 8287, 269, 3973, 649, 5173, 519, 1587, 540, 519, 32159, 543, 1205, 281, 476, 1556, 476, 279, 815, 476, 6434, 269, 1290, 2821, 519, 2626, 689, 1079, 2338, 281, 476, 277, 4343, 279, 780, 763, 2898, 3070, 666, 581, 2854, 607, 5205, 1384, 278, 1556, 476, 7176, 284, 278, 476, 26605, 476, 279, 284, 277, 4343, 279, 692, 2252, 649, 1205, 513, 4389, 6824, 538, 519, 2626, 267, 649, 991, 547, 2347, 519, 9819, 543, 2569, 621, 269, 1403, 649, 1205, 606, 16789, 6824, 267, 649, 991, 547, 2824, 519, 2898, 851, 689, 621, 780, 7078, 476, 273, 692, 24280, 519, 1587, 540, 8454, 476, 25870, 543, 476, 4649, 277, 780, 11405, 692, 6097, 547, 519, 4341, 6594, 1657, 267, 649, 991, 547, 9062, 519, 19362, 676, 519, 19362, 267, 543, 519, 14009, 676, 519, 14009, 269, 634, 3070, 7127, 786, 1413, 899, 713, 1384, 25870, 476, 4649, 277, 284, 275, 476, 4649, 272, 276, 476, 277, 284, 13136, 3445, 692, 821, 602, 814, 513, 1129, 540, 8954, 2225, 676, 476, 1015, 780, 4131, 779, 2569, 519, 6824, 281, 476, 13136, 3445, 717, 7374, 630, 13136, 267, 476, 3445, 6661, 1015, 267, 476, 13136, 3445, 284, 13136, 281, 11820, 271, 281, 1015, 284, 26631, 269, 1306, 513, 1267, 267, 649, 3893, 606, 16789, 6824, 267, 689, 799, 649, 786, 2824, 519, 2898, 851, 543, 1205, 513, 6404, 1297, 281, 476, 26631, 284, 27149, 780, 2690, 519, 13418, 540, 9819, 267, 649, 666, 849, 2569, 519, 3312, 8454, 1354, 7900, 519, 8691, 5106, 267, 585, 799, 649, 991, 547, 2569, 519, 6824, 547, 519, 1106, 513, 524, 321, 546, 269, 1284, 31693, 519, 2418, 722, 489, 25991, 1993, 519, 4632, 883, 2241, 2188, 543, 22599, 519, 1482, 3283, 780, 4131, 779, 2491, 875, 713, 5654, 1210, 519, 1239, 540, 513, 1808, 4305, 780, 7078, 476, 274, 692, 24280, 519, 1587, 476, 25870, 476, 4649, 277, 780, 11405, 692, 4131, 779, 2328, 519, 9273, 1759, 593, 519, 8691, 4341, 269, 1284, 786, 1205, 1384, 25870, 476, 4649, 277, 284, 275, 476, 4649, 272, 276, 476, 277, 692, 276, 476, 13647, 476, 276, 476, 273, 476, 274, 780, 9202, 267, 649, 666, 3274, 2569, 930, 2188, 543, 1205, 519, 1739, 281, 16317, 2005, 3788, 585, 721, 547, 5173, 519, 2241, 2472, 538, 519, 19362, 543, 14009, 543, 1349, 519, 8870, 851, 689, 519, 4611, 16789, 6824, 1384, 273, 476, 13647, 476, 274, 284, 26631, 284, 27149, 692, 288, 10230, 4082, 538, 799, 519, 8691, 540, 8723, 8454, 3217, 1747, 814, 513, 862, 32477, 3959, 267, 602, 568, 267, 952, 2556, 267, 649, 666, 1689, 519, 1931, 540, 519, 2188, 1384, 629, 524, 323, 284, 7251, 705, 30381, 524, 321, 546, 692, 1692, 547, 9062, 606, 8723, 6824, 609, 513, 2067, 1297, 692, 4131, 779, 2328, 1524, 519, 2596, 4341, 1318, 2476, 267, 543, 1287, 2119, 547, 2491, 621, 538, 2259, 780, 14240, 476, 273, 692, 2414, 9062, 606, 8723, 6824, 676, 513, 2067, 1297, 267, 596, 991, 547, 9062, 519, 19362, 540, 713, 6824, 676, 713, 1297, 269, 769, 713, 2013, 267, 519, 14009, 540, 519, 3803, 6824, 786, 581, 3160, 547, 519, 14009, 540, 519, 3312, 8723, 6824, 269, 18527, 540, 930, 6824, 705, 676, 513, 2067, 1297, 562, 666, 581, 2854, 607, 513, 4542, 705, 562, 30381, 562, 321, 780, 2005, 568, 2653, 547, 1174, 713, 4542, 952, 596, 3314, 602, 1022, 2067, 1297, 666, 581, 6719, 607, 606, 8723, 6824, 609, 513, 14009, 3160, 547, 835, 267, 602, 568, 1384, 629, 562, 284, 629, 562, 272, 30381, 562, 321, 476, 272, 30381, 562, 321, 692, 4131, 721, 2491, 938, 2856, 609, 6405, 1806, 780, 7078, 476, 275, 692, 24280, 519, 1587, 540, 476, 25375, 2053, 476, 276, 780, 11405, 23241, 25375, 476, 276, 284, 273, 476, 276, 2767, 284, 9083, 278, 692, 2691, 649, 9062, 513, 2067, 1297, 609, 513, 1455, 6824, 267, 649, 1419, 723, 547, 14841, 5573, 519, 1267, 610, 2099, 621, 607, 513, 6404, 1297, 780, 7078, 476, 276, 692, 30812, 819, 281, 12433, 519, 1587, 540, 476, 279, 2053, 476, 24423, 780, 11405, 692, 6097, 547, 519, 4341, 1657, 267, 649, 9062, 513, 2067, 1297, 676, 519, 19362, 269, 1306, 513, 1267, 267, 649, 1205, 602, 476, 24423, 476, 279, 284, 276, 476, 279, 1321, 284, 25002, 273, 269, 634, 3803, 6824, 814, 4191, 540, 8954, 2225, 676, 476, 273, 267, 865, 649, 991, 547, 2569, 621, 1384, 9448, 300, 263, 2412, 267, 476, 1321, 6661, 275, 267, 865, 476, 25002, 273, 284, 2412, 281, 31404, 281, 275, 284, 9818, 692, 3086, 649, 1175, 723, 547, 2824, 519, 2898, 851, 543, 2328, 1524, 519, 8737, 2626, 281, 476, 9818, 284, 27123, 780, 1103, 713, 7127, 267, 596, 666, 1294, 519, 3003, 3070, 281, 476, 24423, 476, 279, 284, 276, 476, 279, 1321, 284, 25002, 273, 284, 9818, 284, 27123, 780, 2171, 1223, 849, 2569, 519, 6824, 676, 28809, 519, 19362, 543, 14009, 883, 6305, 2188, 267, 543, 519, 1267, 1131, 581, 4010, 519, 1482, 780, 288, 25948, 4082, 538, 799, 513, 2067, 1297, 568, 16611, 676, 513, 6824, 849, 814, 519, 12761, 3959, 267, 602, 568, 267, 519, 1931, 540, 519, 2188, 1281, 711, 1860, 519, 1267, 1384, 629, 562, 284, 333, 705, 30381, 562, 321, 692, 1692, 547, 9062, 1614, 610, 811, 1455, 8454, 692, 2171, 666, 8831, 547, 519, 5106, 540, 14921, 1455, 8454, 519, 1482, 3601, 602, 616, 8984, 540, 14921, 2067, 2338, 269, 901, 5205, 689, 519, 1360, 4214, 540, 891, 2035, 780, 12552, 547, 519, 1702, 540, 519, 1997, 894, 543, 862, 32477, 3601, 267, 621, 568, 2009, 547, 9062, 1614, 610, 811, 8723, 8454, 269, 898, 568, 7989, 24777, 547, 30337, 519, 2188, 538, 4025, 585, 3152, 13418, 610, 6582, 519, 23049, 538, 513, 1259, 602, 786, 1118, 621, 4443, 547, 1293, 780, 4131, 779, 946, 606, 1383, 547, 1397, 875, 713, 568, 2944, 780, 7078, 476, 277, 692, 11372, 17586, 2185, 1455, 8454, 476, 6344, 267, 476, 10219, 267, 476, 4391, 543, 476, 6812, 780, 11405, 281, 3689, 267, 1577, 779, 2328, 1524, 519, 1587, 269, 1284, 1205, 476, 6344, 476, 10219, 476, 4391, 476, 6812, 269, 1284, 991, 547, 9062, 782, 519, 6746, 2209, 543, 782, 519, 32159, 1927, 281, 476, 6344, 476, 10219, 476, 4391, 476, 6812, 284, 272, 476, 1321, 476, 274, 476, 26392, 476, 276, 476, 278, 476, 279, 780, 6524, 649, 1376, 8691, 267, 649, 666, 1118, 1919, 513, 2370, 4443, 585, 6000, 543, 31693, 930, 2338, 883, 6305, 2188, 585, 2417, 5786, 269, 901, 786, 581, 4443, 982, 4227, 519, 8737, 6824, 4611, 689, 621, 780, 272, 476, 1321, 476, 274, 476, 26392, 476, 276, 476, 278, 476, 279, 284, 272, 630, 273, 476, 273, 476, 274, 264, 476, 274, 476, 7367, 476, 273, 476, 276, 476, 276, 476, 278, 263, 273, 476, 273, 476, 273, 6661, 274, 476, 3374, 476, 278, 476, 273, 476, 273, 476, 273, 284, 280, 2764, 271, 692, 12585, 281, 476, 272, 476, 1321, 476, 274, 476, 26392, 476, 276, 476, 278, 476, 279, 284, 280, 2764, 271, 780, 7078, 476, 278, 692, 11372, 17586, 476, 276, 2338, 476, 4281, 476, 1321, 476, 279, 476, 276, 3607, 476, 1015, 780, 11405, 692, 2690, 13418, 267, 649, 666, 1895, 519, 6824, 476, 4281, 609, 519, 1297, 476, 279, 267, 543, 519, 1297, 476, 1321, 609, 519, 6824, 476, 276, 3607, 267, 2094, 2104, 20214, 786, 581, 6654, 547, 721, 269, 1306, 513, 1267, 267, 649, 1205, 912, 4281, 476, 1321, 476, 279, 476, 276, 3607, 476, 1015, 284, 4281, 476, 279, 476, 1321, 476, 276, 3607, 476, 1015, 284, 278, 476, 6434, 476, 1321, 476, 276, 3607, 476, 1015, 284, 10170, 476, 273, 476, 273, 476, 274, 476, 7367, 476, 273, 476, 274, 476, 274, 476, 1015, 2525, 278, 476, 7871, 476, 1015, 284, 278, 476, 276, 476, 9818, 284, 12573, 274, 284, 14138, 2537, 692, 12585, 281, 476, 4281, 476, 1321, 476, 279, 476, 276, 3607, 476, 1015, 284, 14138, 2537, 780, 19370, 6061, 692, 5228, 476, 272, 1554, 1315, 689, 476, 5611, 6299, 956, 692, 17345, 960, 692, 5228, 476, 276, 2395, 1315, 689, 476, 5197, 271, 6299, 956, 692, 629, 5724, 692, 5228, 476, 272, 1554, 1315, 689, 476, 10384, 6299, 956, 692, 290, 476, 1626, 8691, 543, 6498, 540, 15821, 8454, 780, 306, 6295, 2042, 593, 8691, 543, 6498, 540, 15821, 8454, 692, 1103, 713, 3992, 267, 649, 786, 2015, 519, 3652, 585, 14921, 543, 12270, 15821, 8454, 267, 607, 1134, 607, 1806, 585, 7311, 891, 3652, 269, 18527, 543, 6498, 540, 15821, 8454, 568, 1100, 1114, 689, 8691, 543, 6498, 540, 8723, 8454, 269, 1717, 267, 519, 4527, 540, 4632, 5012, 547, 10169, 811, 1950, 2081, 540, 28976, 519, 4611, 7215, 269, 6736, 519, 1249, 602, 14921, 543, 12270, 8454, 568, 4443, 982, 4946, 543, 18946, 873, 267, 519, 1353, 540, 713, 1888, 1590, 581, 14059, 1360, 19100, 267, 2094, 972, 616, 1082, 16938, 335, 527, 17517, 14872, 538, 621, 602, 616, 2356, 711, 6976, 3007, 547, 269, 1306, 851, 540, 519, 3992, 267, 649, 786, 711, 1152, 1353, 519, 3652, 585, 14921, 543, 12270, 8454, 267, 855, 849, 5659, 519, 16082, 602, 949, 8451, 950, 7311, 873, 780, 20428, 912, 31580, 545, 8454, 269, 25226, 4238, 593, 15821, 8454, 692, 8893, 912, 25648, 6473, 543, 6498, 540, 15821, 8454, 692, 763, 3652, 540, 8691, 543, 6498, 540, 15821, 8454, 616, 11613, 2147, 547, 519, 3652, 540, 8691, 543, 6498, 540, 8723, 8454, 269, 31962, 873, 1384, 6546, 568, 267, 538, 1931, 547, 9062, 8454, 267, 621, 568, 2556, 547, 9062, 741, 6746, 2209, 630, 10472, 786, 581, 519, 19362, 540, 519, 1587, 1070, 543, 9062, 741, 32159, 630, 10472, 786, 581, 519, 14009, 540, 519, 1587, 6393, 19667, 1707, 676, 513, 6824, 568, 8691, 676, 606, 30141, 6824, 267, 602, 568, 267, 538, 1931, 547, 7941, 1079, 8454, 267, 621, 568, 2556, 547, 9062, 519, 1101, 540, 873, 630, 1492, 26318, 264, 676, 519, 30141, 2034, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28432, 912, 15235, 453, 7901, 6910, 32384, 6357, 2135, 272, 5157, 3910, 7901, 273, 5157, 28413, 15235, 453, 7901, 6910, 263, 2381, 6357, 2135, 272, 5157, 266, 272, 3910, 7901, 273, 5157, 266, 272, 28413, 16596, 5409, 318, 5550, 318, 19327, 6357, 2135, 2020, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 13537, 263, 30104, 318, 5550, 338, 318, 5793, 7611, 8443, 272, 267, 276, 267, 273, 267, 277, 267, 272, 267, 273, 25662, 273, 267, 275, 267, 274, 267, 279, 267, 272, 267, 273, 316, 4297, 0, 5814, 15259, 454, 10594, 5091, 597, 815, 1948, 3403, 15682, 2619, 1934, 692, 258, 1689, 15682, 547, 9138, 1976, 5091, 597, 454, 657, 26716, 323, 597, 263, 10594, 5091, 597, 994, 2745, 263, 657, 10947, 322, 23424, 31156, 258, 1305, 4831, 585, 1297, 540, 6119, 454, 11133, 6958, 3796, 815, 476, 271, 692, 258, 12055, 919, 998, 1169, 15682, 538, 1976, 5091, 597, 454, 1721, 546, 597, 6958, 538, 15259, 269, 4289, 323, 597, 10031, 825, 952, 15259, 29624, 18994, 323, 597, 5560, 597, 6958, 264, 568, 6936, 912, 1038, 1948, 2242, 15682, 543, 12055, 919, 998, 1142, 540, 741, 6119, 267, 1818, 519, 2556, 2242, 454, 1038, 15259, 26716, 323, 597, 263, 10594, 5091, 597, 1341, 26230, 1341, 546, 597, 6958, 994, 1038, 585, 535, 18425, 5091, 597, 538, 15259, 269, 4289, 323, 597, 10031, 2018, 1003, 6958, 3796, 6834, 476, 272, 454, 2018, 535, 12173, 267, 535, 318, 2169, 815, 15259, 29624, 4732, 680, 924, 868, 6600, 18425, 5091, 597, 994, 2018, 952, 535, 318, 2169, 2652, 29717, 338, 4135, 262, 543, 535, 12173, 11468, 275, 316, 11203, 1412, 11357, 318, 12466, 3546, 1007, 6958, 12173, 815, 1412, 11357, 318, 262, 1341, 535, 18425, 5091, 597, 454, 2018, 3116, 912, 3546, 1007, 6958, 12173, 815, 535, 18425, 5091, 597, 454, 2018, 15259, 269, 1066, 877, 6600, 18425, 5091, 597, 267, 1007, 6958, 12173, 2020, 1038, 1948, 17176, 1394, 547, 1976, 5091, 597, 547, 581, 2111, 547, 979, 998, 519, 1985, 15682, 454, 1038, 15259, 26716, 323, 597, 263, 10594, 5091, 597, 994, 2745, 16325, 6958, 3796, 994, 0, 5814, 942, 7531, 5035, 21436, 24998, 2187, 825, 1780, 692, 5035, 11352, 24998, 2187, 453, 10139, 692, 3698, 4452, 318, 7451, 6600, 32327, 2187, 453, 7451, 815, 31460, 453, 325, 815, 1930, 6600, 32327, 2020, 453, 258, 3689, 1899, 540, 519, 3758, 1058, 581, 519, 20927, 267, 3097, 453, 258, 567, 8237, 602, 883, 513, 1592, 454, 453, 3650, 518, 815, 535, 18667, 1467, 14061, 337, 29328, 14061, 20889, 263, 3299, 5073, 453, 3712, 8435, 815, 7003, 263, 3650, 518, 2020, 453, 258, 6713, 1142, 1899, 538, 513, 3758, 454, 22610, 1899, 538, 535, 912, 453, 453, 258, 1711, 513, 1007, 3236, 540, 519, 1362, 11352, 454, 453, 453, 4650, 815, 11352, 10797, 453, 453, 258, 326, 633, 602, 3236, 513, 1007, 14487, 585, 1142, 20927, 6241, 267, 543, 454, 453, 453, 258, 817, 793, 602, 14487, 519, 1871, 540, 519, 7222, 1931, 6241, 454, 453, 22610, 1775, 538, 2039, 263, 3712, 8435, 2187, 4848, 453, 3553, 3430, 337, 263, 4650, 267, 20927, 5157, 3910, 1899, 5157, 20285, 453, 453, 7451, 314, 4650, 269, 4650, 16182, 316, 815, 1931, 692, 453, 258, 19171, 519, 3758, 454, 453, 325, 25379, 10797, 16596, 9753, 692, 3698, 4452, 6831, 2396, 619, 6600, 32327, 2187, 453, 322, 2396, 619, 815, 31460, 453, 325, 815, 1930, 6600, 32327, 2020, 453, 258, 3689, 1899, 540, 519, 3758, 1058, 581, 519, 20927, 267, 3097, 453, 258, 567, 8237, 602, 883, 513, 1592, 454, 453, 3650, 518, 815, 535, 18667, 1467, 14061, 337, 29328, 14061, 20889, 263, 3299, 5073, 453, 3712, 8435, 815, 7003, 263, 3650, 518, 994, 453, 258, 6713, 1142, 1899, 538, 513, 3758, 267, 3097, 453, 258, 1246, 1482, 7954, 607, 1354, 585, 9753, 454, 22610, 1899, 538, 535, 912, 453, 453, 322, 2396, 518, 815, 21436, 4590, 453, 453, 11907, 815, 1899, 25331, 29328, 14061, 20889, 263, 3299, 5073, 453, 22610, 1775, 538, 2039, 263, 3712, 8435, 2187, 4848, 453, 3553, 3430, 337, 6262, 2396, 518, 267, 20927, 5157, 3910, 1239, 5157, 20285, 453, 453, 258, 5410, 519, 6075, 547, 938, 8675, 676, 6075, 7329, 454, 453, 453, 322, 2396, 619, 314, 322, 2396, 518, 6983, 2396, 518, 16182, 316, 815, 6075, 692, 453, 258, 19171, 519, 3758, 454, 453, 325, 25379, 10797, 16596, 5561, 692, 3698, 1265, 318, 14683, 318, 2651, 619, 263, 7451, 2187, 453, 18851, 14303, 5281, 1592, 540, 1931, 476, 1749, 1141, 519, 1931, 1185, 811, 982, 476, 736, 5283, 976, 20701, 453, 14683, 318, 2651, 619, 815, 11713, 453, 4650, 318, 1749, 815, 9753, 269, 12399, 10797, 22610, 1931, 16182, 538, 1931, 318, 1749, 912, 453, 14851, 703, 263, 7451, 314, 4650, 16182, 4940, 11133, 318, 4248, 17745, 976, 264, 3436, 476, 736, 912, 4848, 453, 14683, 318, 2651, 619, 6910, 263, 4650, 16182, 2020, 16596, 1931, 16182, 7531, 3698, 4159, 6831, 2396, 518, 6262, 2396, 518, 2187, 13537, 834, 2411, 955, 268, 4840, 13537, 834, 9202, 21436, 547, 1289, 4840, 13537, 834, 2411, 955, 10559, 333, 4840, 13537, 834, 11243, 281, 14307, 6075, 8807, 1009, 267, 6075, 16096, 454, 13537, 834, 17490, 281, 14307, 6075, 6745, 601, 454, 13537, 27719, 333, 5016, 3698, 1292, 3890, 1384, 453, 322, 2396, 619, 815, 4452, 6831, 2396, 619, 3488, 322, 2396, 619, 27406, 5073, 453, 7451, 825, 815, 4452, 318, 7451, 3488, 7451, 27406, 5073, 453, 14683, 318, 2651, 619, 815, 1265, 318, 14683, 318, 2651, 619, 263, 7451, 2020, 453, 258, 6112, 6936, 912, 22610, 1931, 16182, 538, 1164, 318, 2651, 619, 1384, 453, 453, 322, 573, 815, 9753, 314, 4650, 16182, 4940, 322, 2396, 518, 16182, 454, 453, 453, 322, 2396, 518, 815, 5561, 314, 322, 573, 6540, 453, 14851, 6075, 6983, 6817, 2652, 1412, 12466, 4848, 453, 5891, 6831, 2396, 518, 6262, 2396, 518, 994, 4848, 453, 19874, 7531, 453, 453, 258, 1820, 834, 5649, 344, 585, 1985, 6075, 286, 630, 312, 21610, 264, 4840, 453, 453, 258, 2626, 815, 3403, 3488, 9563, 1412, 1040, 12294, 4590, 453, 453, 258, 952, 2626, 2652, 1412, 333, 12466, 453, 453, 258, 476, 453, 19874, 454, 453, 453, 258, 3116, 912, 453, 453, 258, 476, 453, 11666, 826, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 10797, 258, 307, 2464, 16249, 2910, 14701, 692, 7531, 258, 1948, 4152, 519, 6075, 1599, 454, 258, 891, 318, 15161, 815, 4452, 6831, 2396, 619, 3488, 322, 2396, 619, 27406, 5073, 258, 10569, 815, 891, 318, 15161, 269, 12399, 4590, 258, 585, 1775, 538, 2039, 263, 276, 2187, 258, 476, 13537, 891, 318, 15161, 314, 12399, 5157, 316, 4940, 16942, 7531, 258, 4152, 519, 1931, 1599, 454, 258, 891, 318, 7451, 815, 4452, 318, 7451, 3488, 7451, 27406, 17210, 258, 10569, 815, 891, 318, 7451, 269, 12399, 4590, 258, 585, 1775, 538, 2039, 263, 276, 2187, 258, 476, 13537, 891, 318, 7451, 314, 12399, 5157, 316, 4940, 11133, 318, 4248, 17745, 976, 19638, 258, 8025, 3041, 654, 5495, 17162, 18688, 715, 21201, 645, 7473, 4959, 11550, 289, 5723, 14877, 6167, 301, 4488, 8577, 14473, 454, 258, 1219, 19467, 6831, 2396, 619, 263, 7451, 267, 5561, 17107, 258, 476, 453, 4650, 1749, 815, 9753, 269, 12399, 4590, 258, 476, 453, 28695, 318, 3430, 3464, 815, 1496, 11133, 318, 4248, 17745, 976, 267, 1003, 318, 1278, 17745, 976, 267, 1931, 4671, 4973, 6540, 258, 476, 22610, 1931, 573, 538, 1931, 1749, 912, 258, 476, 453, 453, 322, 573, 815, 9753, 314, 4650, 573, 4940, 322, 2396, 518, 16182, 454, 258, 476, 453, 453, 3553, 3430, 337, 6262, 2396, 619, 314, 322, 573, 3910, 2232, 267, 9753, 314, 4650, 573, 4940, 5417, 816, 994, 258, 476, 453, 453, 3553, 3430, 337, 6262, 2396, 619, 314, 322, 573, 3910, 2749, 267, 9753, 314, 4650, 573, 4940, 322, 640, 994, 258, 476, 453, 453, 3553, 3430, 337, 6262, 2396, 619, 314, 322, 573, 3910, 2232, 267, 9753, 314, 4650, 573, 4940, 5417, 816, 994, 258, 476, 453, 453, 3553, 3430, 337, 6262, 2396, 619, 314, 322, 573, 3910, 2232, 267, 9753, 314, 4650, 573, 4940, 5417, 816, 994, 258, 476, 453, 453, 3553, 3430, 337, 6262, 2396, 619, 314, 322, 573, 3910, 2232, 267, 9753, 314, 4650, 573, 4940, 5417, 816, 994, 258, 476, 453, 453, 3553, 3430, 337, 6262, 2396, 619, 314, 322, 573, 3910, 2232, 267, 9753, 314, 4650, 573, 4940, 5417, 816, 2020, 0, 5814, 942, 692, 3698, 1019, 329, 330, 14259, 263, 6588, 325, 334, 267, 1976, 655, 267, 3186, 3626, 2187, 825, 2367, 528, 18850, 4545, 807, 815, 31460, 825, 3950, 815, 31460, 825, 562, 657, 27916, 656, 525, 815, 1178, 325, 334, 454, 825, 1102, 8181, 334, 815, 10581, 3488, 8882, 5073, 825, 524, 3133, 14833, 815, 29129, 825, 1948, 769, 2772, 714, 18372, 513, 1253, 4545, 807, 31208, 7534, 16948, 524, 3385, 562, 6759, 454, 825, 585, 1100, 538, 562, 657, 27916, 656, 525, 912, 1038, 2367, 528, 18850, 4545, 807, 314, 7224, 316, 815, 1102, 8181, 334, 454, 825, 2367, 528, 18850, 4545, 807, 314, 1598, 263, 10594, 655, 13580, 815, 476, 271, 22562, 825, 1948, 31230, 693, 2946, 6446, 547, 323, 657, 15259, 562, 6759, 338, 694, 329, 600, 642, 714, 527, 15606, 454, 825, 1247, 562, 657, 27916, 656, 525, 912, 1038, 1100, 300, 9820, 10501, 1729, 815, 7183, 28329, 1038, 1948, 28540, 3120, 526, 334, 522, 2367, 528, 562, 6759, 798, 1178, 325, 334, 454, 1038, 585, 1100, 538, 562, 657, 27916, 656, 525, 912, 2018, 952, 1100, 300, 9820, 10501, 1729, 568, 7183, 912, 3546, 1100, 300, 9820, 10501, 1729, 815, 1100, 454, 2018, 8640, 2367, 528, 18850, 4545, 807, 314, 7224, 316, 2999, 2367, 528, 18850, 4545, 807, 314, 7224, 300, 9820, 10501, 1729, 14158, 3546, 1100, 300, 9820, 10501, 1729, 815, 1100, 28329, 1038, 1948, 9986, 3873, 15259, 642, 714, 514, 327, 657, 798, 1178, 325, 334, 544, 9820, 1225, 1729, 454, 1038, 524, 3133, 327, 657, 303, 1601, 633, 529, 815, 1178, 325, 334, 314, 7224, 300, 9820, 10501, 1729, 4940, 19477, 10797, 1038, 1948, 2405, 324, 15259, 26240, 657, 1303, 516, 522, 2367, 528, 562, 6759, 552, 15259, 694, 639, 642, 714, 514, 327, 657, 454, 1038, 585, 1100, 23742, 14833, 267, 26240, 334, 538, 524, 3133, 327, 657, 303, 1601, 633, 529, 912, 2018, 952, 26240, 334, 1341, 2367, 528, 18850, 4545, 807, 314, 7224, 300, 9820, 10501, 1729, 316, 2999, 2367, 528, 18850, 4545, 807, 314, 7224, 23742, 14833, 14158, 3546, 2367, 528, 18850, 4545, 807, 314, 7224, 23742, 14833, 316, 815, 26240, 334, 1341, 2367, 528, 18850, 4545, 807, 314, 7224, 300, 9820, 10501, 1729, 2639, 3546, 3950, 314, 7224, 23742, 14833, 316, 815, 1100, 300, 9820, 10501, 1729, 28329, 1038, 1948, 17179, 522, 1100, 798, 1178, 325, 334, 454, 1038, 562, 657, 27916, 656, 525, 21014, 3799, 334, 300, 9820, 10501, 1729, 2020, 825, 1100, 4263, 783, 815, 3186, 3626, 692, 825, 1948, 15168, 18372, 524, 3133, 14833, 694, 1502, 633, 331, 535, 1794, 754, 334, 19804, 3950, 3724, 798, 524, 3133, 14833, 13121, 562, 6759, 338, 454, 825, 1247, 1100, 4263, 783, 11203, 1193, 263, 10594, 655, 2187, 1038, 2119, 912, 2018, 524, 3133, 14833, 27044, 263, 271, 267, 1100, 4263, 783, 994, 2018, 1100, 4263, 783, 815, 3950, 314, 7224, 4263, 783, 2639, 1038, 4849, 6206, 13286, 912, 2018, 1820, 2891, 19808, 1601, 633, 331, 1750, 3258, 513, 334, 3186, 3626, 5602, 2018, 2736, 692, 825, 524, 3133, 14833, 27044, 263, 271, 267, 1976, 655, 2020, 825, 1820, 6600, 262, 300, 523, 528, 1253, 4545, 807, 632, 524, 3385, 9825, 823, 2715, 5443, 528, 18850, 4545, 807, 348, 5073, 825, 1820, 3488, 268, 262, 2608, 476, 2004, 994, 825, 585, 27089, 267, 1976, 655, 538, 3950, 29096, 10031, 1038, 1820, 6600, 262, 346, 10594, 655, 348, 9847, 2715, 1998, 528, 348, 5073, 825, 1820, 3488, 268, 262, 2608, 476, 2004, 994, 672, 692, 825, 952, 2367, 528, 18850, 4545, 807, 314, 1598, 5560, 652, 3626, 13580, 2999, 10581, 3488, 8882, 262, 2187, 1038, 1820, 2891, 18850, 4545, 807, 544, 9820, 1225, 3279, 20527, 14307, 2367, 528, 18850, 4545, 807, 314, 1598, 5560, 652, 3626, 264, 7481, 1038, 1820, 3488, 290, 3133, 14833, 22207, 524, 3133, 14833, 2020, 6588, 325, 334, 815, 13634, 825, 1412, 271, 9166, 27835, 272, 9166, 476, 272, 267, 1412, 273, 9166, 476, 276, 348, 2676, 825, 1412, 272, 9166, 27835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 5007, 5397, 286, 4270, 519, 2626, 568, 9811, 2507, 898, 666, 563, 4692, 594, 946, 606, 4835, 18074, 291, 608, 27238, 888, 1692, 547, 4045, 606, 18378, 10434, 20000, 1401, 27238, 269, 2560, 7994, 606, 4835, 2182, 5397, 269, 1411, 666, 3575, 543, 6474, 3592, 1022, 2182, 5397, 543, 26456, 267, 855, 2638, 519, 9755, 685, 7270, 547, 1118, 2386, 519, 5397, 543, 26456, 616, 15095, 267, 1175, 538, 2013, 269, 6778, 519, 5397, 883, 519, 26456, 269, 0, 294, 8986, 616, 519, 1292, 2596, 6771, 3334, 538, 519, 16669, 2872, 269, 15394, 972, 616, 476, 1240, 268, 1789, 4522, 538, 1142, 1286, 269, 634, 2298, 540, 24039, 2047, 5540, 519, 6846, 267, 6617, 543, 3028, 1272, 540, 519, 1286, 269, 717, 792, 4393, 3684, 2645, 616, 513, 1950, 3684, 1907, 1062, 543, 513, 1883, 3937, 538, 519, 16669, 2872, 269, 634, 1158, 779, 16669, 5663, 1379, 17346, 971, 607, 519, 2136, 2276, 267, 5125, 543, 3567, 616, 849, 3532, 9755, 540, 10591, 4393, 3684, 2645, 269, 4340, 547, 7194, 267, 811, 982, 476, 3199, 260, 540, 3624, 779, 18914, 24039, 616, 9268, 676, 29143, 1227, 1500, 24039, 269, 2311, 519, 1482, 942, 267, 519, 18914, 2872, 27499, 811, 982, 476, 2568, 260, 540, 10591, 4393, 3684, 2645, 267, 543, 519, 18914, 2872, 786, 2141, 581, 519, 1292, 1560, 540, 3684, 1907, 4616, 269, 717, 792, 4393, 2029, 454, 272, 269, 1280, 3101, 21536, 2280, 454, 31640, 5884, 585, 3101, 568, 1869, 513, 4922, 1031, 11315, 585, 3101, 1184, 585, 16669, 10591, 2694, 269, 769, 2487, 1296, 267, 3444, 530, 8354, 12902, 2029, 814, 1044, 4922, 15469, 538, 14788, 20619, 269, 901, 2029, 568, 3226, 5078, 585, 1818, 1025, 3471, 585, 811, 1950, 22283, 14788, 338, 269, 898, 711, 1152, 814, 1164, 8856, 267, 1507, 7766, 20619, 1450, 1734, 267, 855, 849, 1164, 2504, 4398, 563, 763, 3483, 540, 713, 1184, 568, 547, 3489, 519, 21052, 5078, 585, 7766, 10591, 5969, 543, 5965, 519, 3919, 585, 519, 3803, 3002, 2126, 267, 865, 607, 547, 3927, 2569, 519, 3002, 2126, 22636, 269, 634, 1570, 540, 519, 10591, 5374, 1031, 568, 2356, 476, 736, 24979, 300, 333, 307, 328, 269, 16453, 3339, 1944, 568, 7494, 4299, 676, 10986, 267, 3937, 543, 519, 1604, 267, 1818, 621, 2352, 547, 1852, 519, 9023, 2557, 543, 7833, 640, 540, 519, 32179, 267, 4611, 538, 1804, 3604, 538, 21052, 543, 19514, 12669, 4919, 2497, 269, 18748, 4496, 5969, 543, 3803, 3002, 2126, 267, 1818, 8143, 22636, 1804, 543, 12150, 267, 543, 519, 2298, 540, 2694, 3112, 581, 6417, 269, 1677, 713, 1439, 267, 606, 568, 18540, 3339, 1944, 1184, 568, 7550, 269, 6657, 814, 9863, 602, 519, 946, 540, 568, 18540, 3339, 1944, 814, 3927, 4957, 519, 28919, 540, 3339, 3339, 1944, 267, 543, 519, 1587, 2298, 568, 7123, 543, 6325, 563, 1103, 1931, 547, 2743, 519, 17568, 4170, 540, 1164, 1790, 13440, 1707, 10591, 4393, 267, 782, 519, 10591, 1025, 3471, 616, 9268, 676, 18981, 4234, 1127, 267, 543, 519, 7432, 2645, 616, 2964, 1227, 28728, 539, 1510, 5230, 8860, 267, 799, 30877, 519, 21800, 12032, 540, 519, 8559, 8006, 267, 1439, 3068, 543, 9018, 8006, 4393, 896, 835, 28728, 532, 267, 799, 711, 1152, 5849, 519, 4835, 634, 13902, 640, 4170, 540, 519, 8559, 543, 519, 1439, 3068, 2327, 519, 1507, 2450, 24980, 540, 519, 2527, 2504, 540, 5694, 1025, 3471, 269, 4475, 267, 519, 8856, 540, 519, 10591, 10145, 568, 4824, 543, 519, 4393, 2298, 540, 519, 7766, 24039, 568, 24458, 269, 769, 1840, 267, 519, 1164, 4398, 540, 18981, 4234, 515, 4393, 849, 7494, 6971, 519, 1297, 540, 3937, 267, 543, 519, 4346, 568, 1434, 563, 275, 269, 17029, 1782, 543, 5935, 454, 13349, 10591, 8570, 6883, 6191, 543, 10591, 5935, 6191, 616, 1869, 4922, 1031, 585, 4393, 24039, 269, 4014, 621, 568, 2653, 547, 4188, 543, 2226, 267, 519, 2504, 4398, 568, 1970, 269, 1403, 513, 1804, 4390, 568, 6192, 267, 2789, 6191, 616, 2838, 547, 3132, 693, 519, 1482, 942, 269, 2060, 519, 1646, 540, 15098, 2029, 267, 519, 556, 18396, 908, 1310, 8325, 2287, 540, 8570, 338, 543, 7696, 338, 568, 1360, 10375, 269, 3213, 730, 2645, 666, 3648, 2333, 519, 3028, 1272, 267, 3622, 676, 811, 982, 476, 3445, 9077, 799, 3927, 6971, 519, 1297, 540, 1907, 2242, 269, 1656, 8325, 2287, 942, 267, 519, 4324, 568, 1713, 563, 276, 269, 1744, 3058, 4522, 454, 20238, 658, 10591, 695, 3058, 2029, 568, 4922, 1031, 538, 519, 2504, 540, 1164, 31891, 18914, 24039, 1813, 547, 922, 1164, 4398, 267, 2653, 20185, 540, 519, 14842, 4170, 540, 519, 2966, 5694, 9043, 543, 5694, 4287, 269, 4595, 519, 2754, 12349, 519, 2027, 24293, 10591, 695, 3058, 3684, 585, 7969, 2754, 538, 922, 6639, 7004, 538, 476, 1960, 276, 267, 713, 2029, 814, 1044, 4294, 9921, 569, 543, 519, 4393, 2298, 568, 7123, 543, 6325, 563, 277, 269, 14333, 2126, 454, 8505, 558, 9394, 24039, 2154, 1286, 10767, 1944, 543, 844, 523, 4221, 547, 2327, 741, 1434, 7344, 3601, 269, 1280, 2472, 602, 1100, 3476, 991, 547, 581, 2666, 1310, 1373, 12699, 267, 7123, 543, 6325, 3002, 2126, 3937, 568, 1898, 269, 634, 2754, 5189, 513, 6024, 1286, 10767, 1944, 543, 844, 523, 4221, 2504, 1899, 689, 5125, 779, 5487, 1195, 328, 7577, 267, 799, 6913, 25685, 3002, 2126, 2164, 563, 2005, 568, 5631, 547, 9096, 519, 3002, 2389, 8972, 10591, 6418, 8559, 267, 1439, 3068, 267, 14788, 9018, 8006, 543, 824, 2694, 547, 2087, 21021, 6111, 543, 2569, 1106, 543, 2990, 7109, 1734, 563, 763, 10591, 4393, 3792, 1206, 519, 12334, 5858, 20856, 675, 547, 2990, 543, 28728, 267, 799, 666, 3927, 2327, 519, 4393, 6111, 540, 519, 5694, 851, 543, 519, 10380, 3611, 636, 267, 543, 3489, 25685, 1587, 2298, 563, 1607, 568, 519, 14791, 543, 7738, 540, 519, 27894, 543, 3276, 3464, 540, 519, 24039, 1354, 10198, 540, 519, 6771, 543, 5397, 4949, 548, 24039, 547, 9004, 519, 9402, 6846, 3361, 676, 873, 1310, 10198, 269, 898, 568, 6192, 676, 6947, 547, 519, 3280, 540, 513, 2582, 6292, 540, 8544, 3107, 610, 11287, 519, 8544, 3107, 11539, 593, 513, 3102, 14791, 6293, 269, 634, 8027, 2694, 540, 519, 6771, 3812, 676, 519, 5663, 2754, 1331, 513, 804, 8553, 8027, 267, 513, 6771, 8027, 543, 513, 11186, 8027, 269, 634, 804, 8553, 8027, 543, 6771, 8027, 616, 4452, 24481, 2694, 267, 799, 616, 3622, 1500, 540, 5884, 2275, 770, 11956, 18585, 676, 2027, 5884, 16213, 269, 634, 3337, 568, 12150, 543, 1950, 269, 634, 2489, 1184, 568, 17819, 519, 4745, 2627, 9890, 20619, 1184, 9475, 543, 8220, 9475, 9890, 11315, 19309, 12946, 9475, 9890, 5386, 19309, 645, 8960, 8559, 543, 29466, 8930, 8559, 20681, 2193, 22135, 20681, 548, 752, 1449, 7020, 563, 332, 1245, 26264, 2488, 596, 609, 519, 1034, 3102, 5068, 267, 5068, 267, 9044, 267, 9044, 1374, 267, 23732, 1702, 2798, 540, 5068, 9044, 12478, 267, 543, 10918, 3391, 543, 2228, 10918, 2533, 585, 1585, 5068, 28633, 267, 609, 519, 10464, 652, 5068, 9044, 5777, 543, 519, 1655, 2298, 1310, 1606, 2297, 3028, 269, 7490, 3643, 27718, 26264, 281, 4179, 2517, 332, 1245, 9884, 5942, 270, 21292, 540, 519, 2376, 281, 27718, 26264, 282, 15733, 1644, 547, 27718, 26264, 281, 0, 2252, 707, 30847, 2126, 12651, 707, 11178, 2157, 1932, 1164, 585, 513, 13455, 1974, 267, 596, 949, 1020, 5642, 2530, 543, 21404, 269, 2334, 568, 835, 2601, 1946, 13350, 1973, 4255, 547, 2268, 11178, 1599, 616, 865, 1271, 1765, 628, 8557, 9449, 2157, 666, 581, 4299, 676, 1114, 2242, 267, 971, 607, 2732, 543, 1560, 2597, 563, 4692, 30847, 1860, 707, 7633, 888, 1607, 1184, 540, 2799, 5642, 2530, 936, 942, 3123, 21404, 269, 14523, 1054, 21633, 267, 799, 25815, 707, 1560, 779, 10307, 267, 849, 25815, 1524, 707, 5642, 779, 10307, 269, 769, 1004, 609, 30847, 267, 519, 5642, 5250, 1184, 568, 30281, 476, 2004, 2600, 267, 543, 5642, 759, 26975, 476, 2412, 2600, 563, 4692, 11178, 2042, 1860, 5642, 5860, 888, 1432, 568, 519, 3095, 1063, 11178, 2068, 543, 21404, 286, 774, 8557, 9449, 5540, 519, 2557, 540, 5642, 10682, 269, 18320, 1454, 11178, 9449, 630, 328, 4318, 269, 16815, 6918, 710, 264, 538, 707, 1560, 11250, 519, 2557, 693, 799, 5642, 568, 4503, 269, 1403, 713, 4523, 1932, 3728, 519, 11560, 29793, 6814, 949, 711, 581, 2111, 547, 5372, 519, 5642, 2530, 3533, 2614, 563, 9989, 11178, 4915, 14020, 707, 7633, 888, 7197, 2550, 593, 11178, 4915, 723, 25300, 574, 9369, 779, 11178, 4345, 543, 513, 4130, 1297, 1491, 11178, 4915, 1317, 540, 11178, 2860, 610, 3400, 1407, 2068, 269, 18320, 1454, 11178, 4915, 4679, 519, 2534, 540, 519, 11560, 16438, 6814, 630, 1492, 7633, 602, 2736, 1524, 5642, 264, 543, 2322, 596, 693, 606, 2799, 1981, 585, 8840, 513, 5642, 563, 4692, 606, 896, 5562, 11178, 2014, 21404, 888, 15152, 5562, 11178, 630, 1506, 335, 1054, 21633, 994, 2304, 896, 5562, 11178, 568, 711, 267, 538, 3294, 267, 513, 1981, 3815, 585, 21404, 267, 855, 952, 596, 616, 11311, 26550, 18333, 6918, 710, 547, 2333, 707, 11178, 2157, 547, 519, 3339, 2039, 596, 1058, 723, 2834, 1973, 4255, 267, 693, 2547, 2899, 513, 1032, 267, 547, 2327, 707, 11178, 9449, 2157, 616, 711, 1932, 1164, 563, 4692, 11178, 2014, 5642, 1928, 888, 10144, 609, 4359, 30847, 949, 1265, 602, 5714, 13976, 538, 10549, 607, 741, 10307, 25815, 2443, 543, 602, 3123, 11926, 602, 267, 519, 25832, 18669, 2798, 856, 267, 666, 1291, 547, 1928, 563, 3674, 7513, 1434, 585, 30847, 888, 12585, 3245, 25595, 645, 269, 715, 2089, 1245, 339, 267, 631, 6185, 269, 8786, 269, 25289, 9360, 2443, 610, 1884, 659, 1749, 5627, 7513, 2443, 666, 15936, 609, 519, 10338, 540, 11178, 9449, 10682, 6527, 267, 971, 607, 10991, 11178, 10399, 26550, 18333, 6918, 710, 630, 26239, 628, 5514, 267, 1133, 603, 5514, 267, 1866, 264, 543, 15073, 18333, 1258, 710, 630, 290, 12682, 558, 601, 1070, 607, 1134, 607, 11178, 1349, 9360, 563, 1432, 3123, 4028, 2530, 540, 5642, 5860, 888, 4913, 267, 972, 616, 513, 1297, 540, 2564, 2175, 543, 6527, 602, 666, 2014, 811, 4028, 5642, 2530, 2443, 519, 1034, 1455, 2175, 616, 5409, 1706, 4331, 5514, 1143, 267, 5409, 628, 21633, 267, 6171, 667, 10638, 543, 524, 27112, 2068, 267, 543, 519, 1034, 1455, 6527, 616, 28335, 543, 12906, 520, 848, 20127, 563, 9989, 30847, 2014, 6171, 667, 10638, 888, 5278, 267, 855, 711, 782, 267, 22423, 2090, 723, 1336, 1970, 1973, 2157, 540, 6171, 667, 538, 2550, 609, 30847, 630, 8974, 5562, 11178, 264, 607, 1134, 607, 5409, 628, 21633, 630, 534, 936, 5562, 11178, 264, 1813, 547, 3400, 1407, 390, 376, 2068, 563, 9989, 6171, 667, 1860, 11178, 6646, 888, 5591, 4205, 941, 1336, 1063, 26550, 18333, 6918, 710, 543, 12192, 667, 274, 269, 901, 1281, 711, 8209, 1611, 1100, 4205, 2291, 269, 11408, 5077, 707, 3782, 8502, 563, 3674, 26550, 18333, 6918, 710, 3983, 585, 519, 7633, 888, 1103, 713, 18487, 24794, 8826, 20165, 1353, 593, 519, 7681, 1063, 519, 26550, 18333, 6918, 710, 9570, 543, 17795, 1981, 1851, 11361, 2021, 630, 3042, 21759, 4792, 1296, 1070, 649, 1336, 513, 1713, 7681, 1063, 513, 2362, 9570, 540, 26550, 18333, 6918, 710, 630, 285, 5611, 18725, 326, 7933, 264, 543, 17795, 1981, 538, 519, 3810, 21483, 21404, 32299, 563, 1432, 616, 519, 1279, 2165, 2427, 2360, 540, 26550, 18333, 6918, 710, 888, 2252, 519, 26550, 18333, 6918, 710, 9570, 568, 1932, 1164, 267, 3978, 2427, 2360, 666, 2049, 267, 5631, 7133, 519, 2295, 267, 543, 1331, 630, 291, 2905, 8469, 267, 476, 1001, 280, 2187, 268, 7054, 10585, 26470, 630, 1551, 15219, 8926, 994, 268, 4400, 1973, 2604, 563, 268, 9839, 5821, 563, 268, 30446, 1928, 630, 836, 2088, 994, 268, 9839, 4323, 630, 3240, 18201, 658, 1102, 541, 794, 994, 268, 9315, 13519, 10654, 630, 24711, 13515, 2324, 994, 9989, 26550, 18333, 6918, 710, 2569, 5642, 5860, 888, 763, 1459, 1353, 849, 4951, 602, 693, 519, 942, 540, 5868, 540, 30847, 267, 645, 13270, 729, 711, 3648, 1114, 689, 3339, 5396, 269, 21452, 267, 519, 2550, 602, 4607, 476, 273, 1296, 540, 26550, 18333, 6918, 710, 10682, 3797, 1185, 2539, 5642, 5860, 563, 4692, 11178, 2042, 2014, 30169, 888, 29797, 1054, 21633, 814, 1044, 2404, 609, 30169, 630, 29151, 264, 543, 12982, 3029, 540, 12263, 543, 609, 1896, 1134, 3989, 24561, 5160, 3676, 267, 799, 538, 2490, 666, 2014, 12263, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3848, 476, 276, 281, 7256, 25725, 11094, 910, 589, 8865, 5530, 540, 29106, 681, 573, 18436, 538, 3127, 692, 7072, 692, 763, 2067, 1158, 568, 4904, 609, 7068, 602, 723, 9676, 1480, 9345, 585, 5553, 269, 7324, 891, 616, 4262, 16015, 267, 3504, 2261, 29794, 602, 723, 1178, 1027, 938, 12084, 585, 6634, 540, 1296, 269, 1717, 267, 1082, 2249, 1631, 3068, 14486, 1813, 547, 27643, 6937, 971, 607, 2916, 1689, 267, 5533, 267, 7226, 9552, 267, 543, 10122, 269, 2290, 971, 1383, 568, 519, 20182, 681, 573, 2917, 4262, 14854, 630, 299, 788, 573, 28970, 569, 338, 10153, 643, 25445, 1070, 799, 20097, 2059, 519, 25878, 5032, 540, 3127, 269, 901, 3184, 786, 5490, 883, 519, 3646, 1373, 1500, 676, 2199, 2950, 543, 3906, 899, 570, 12767, 7690, 538, 11450, 609, 2229, 13623, 547, 18359, 713, 7415, 13442, 998, 2146, 2861, 7341, 780, 8139, 7256, 570, 4669, 956, 1299, 4256, 11957, 692, 6524, 7234, 5726, 2994, 267, 621, 781, 2629, 547, 1174, 1018, 2306, 4262, 16015, 865, 2027, 269, 1703, 616, 5722, 2249, 540, 7286, 16015, 5001, 267, 1142, 8795, 5594, 538, 2450, 267, 3337, 267, 2732, 267, 543, 2623, 269, 1358, 1404, 1898, 5107, 538, 4509, 2635, 7286, 8134, 282, 789, 948, 3666, 694, 698, 14993, 15135, 543, 14147, 18625, 267, 3565, 547, 8770, 15203, 267, 543, 4196, 607, 10832, 540, 5836, 1072, 269, 10251, 267, 782, 5722, 2249, 616, 12219, 610, 13155, 5097, 1317, 540, 1480, 2238, 780, 30469, 633, 681, 573, 18436, 281, 23433, 10334, 1299, 21784, 338, 692, 16449, 891, 6650, 6150, 2249, 568, 519, 29106, 681, 573, 2917, 267, 1634, 585, 922, 1507, 2450, 630, 1575, 547, 476, 273, 3952, 1279, 264, 543, 2189, 2527, 21224, 2621, 1572, 818, 1026, 27885, 1141, 5215, 540, 8951, 2097, 11849, 648, 8195, 547, 2482, 5798, 269, 1452, 4715, 8163, 2049, 5631, 693, 1808, 17822, 538, 13095, 22781, 1533, 267, 4352, 22072, 21224, 4386, 11992, 267, 1519, 1656, 31137, 21423, 267, 1141, 570, 12767, 7690, 13333, 269, 6736, 3656, 20038, 896, 4095, 7320, 4031, 2094, 476, 3192, 273, 267, 29106, 681, 573, 18436, 3136, 547, 3068, 3875, 6937, 267, 1519, 10071, 531, 7001, 538, 10068, 10591, 267, 4616, 540, 741, 5798, 267, 5779, 267, 543, 16463, 267, 7226, 2530, 1813, 547, 9381, 1646, 267, 543, 2916, 1689, 5222, 780, 26322, 15369, 11094, 13979, 692, 11693, 891, 15491, 2591, 267, 2757, 1283, 16365, 4485, 1419, 3111, 547, 3927, 2232, 1950, 2825, 2152, 269, 1306, 2938, 538, 519, 2013, 540, 570, 12767, 7690, 267, 2146, 2861, 5726, 3091, 513, 811, 9621, 4244, 269, 1635, 2502, 17137, 2047, 538, 5726, 3646, 267, 713, 1935, 11942, 513, 2631, 540, 9562, 543, 5539, 2509, 8497, 9265, 269, 898, 849, 2488, 17612, 3255, 267, 7393, 14227, 2175, 1247, 5009, 4264, 946, 540, 2200, 780, 307, 12767, 7690, 781, 4518, 538, 715, 749, 648, 10588, 692, 1103, 519, 2796, 540, 29106, 681, 573, 2917, 5726, 267, 570, 12767, 7690, 3323, 2324, 538, 715, 749, 648, 8664, 267, 1656, 31137, 21423, 267, 1394, 538, 476, 1220, 279, 269, 21231, 7863, 1152, 476, 3607, 20097, 538, 519, 1101, 1032, 267, 789, 7930, 9450, 741, 4238, 267, 8757, 909, 547, 476, 26839, 20097, 6870, 2066, 1079, 3606, 4609, 676, 519, 3791, 4005, 269, 6270, 5812, 2208, 6920, 711, 1175, 2799, 4390, 855, 849, 3395, 2146, 9525, 543, 7029, 780, 8512, 2996, 1222, 609, 6554, 3493, 25902, 692, 288, 1883, 3815, 7700, 547, 570, 12767, 7690, 781, 1967, 814, 1044, 5698, 609, 4143, 2229, 9988, 267, 12077, 519, 13812, 30733, 540, 519, 11206, 4972, 543, 519, 4972, 540, 30656, 269, 17434, 3646, 2327, 1732, 11558, 267, 4199, 4254, 16478, 267, 543, 3609, 6388, 269, 1280, 3236, 267, 5473, 29940, 538, 1273, 13764, 2337, 2569, 23139, 676, 322, 2255, 267, 3976, 30364, 1312, 16015, 543, 535, 29913, 269, 6684, 267, 9870, 4656, 1851, 1153, 1453, 538, 1529, 322, 919, 2418, 540, 5726, 2038, 593, 267, 4180, 15364, 540, 891, 7341, 780, 31306, 18370, 11072, 1299, 12694, 692, 4407, 1713, 26058, 723, 1044, 1500, 538, 25137, 29106, 681, 573, 18436, 2059, 519, 25878, 5032, 540, 3127, 267, 1454, 3788, 547, 581, 2944, 269, 8693, 1689, 13514, 1007, 6937, 267, 8506, 5499, 3435, 543, 13261, 2359, 2853, 269, 3958, 267, 18440, 909, 3340, 8101, 7616, 543, 2930, 6351, 269, 11048, 267, 2984, 899, 570, 12767, 7690, 2709, 4126, 543, 6542, 875, 7104, 2962, 666, 1118, 513, 3017, 538, 9494, 938, 4541, 781, 6909, 9265, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 12767, 7690, 267, 16441, 333, 2967, 267, 20474, 24385, 340, 267, 3127, 454, 307, 12767, 7690, 3459, 922, 960, 538, 715, 749, 648, 538, 519, 1032, 476, 1220, 279, 543, 814, 24482, 1044, 14304, 2146, 1759, 4262, 14854, 5726, 269, 769, 519, 1032, 476, 1220, 279, 268, 1220, 280, 267, 519, 13539, 6870, 476, 3607, 20097, 267, 1739, 799, 476, 2412, 20097, 941, 6870, 538, 476, 1220, 280, 268, 1001, 271, 267, 476, 16318, 1282, 519, 476, 1001, 271, 268, 1001, 272, 4005, 267, 543, 476, 9032, 20097, 547, 4266, 538, 519, 1699, 4005, 630, 1001, 272, 268, 1001, 273, 1040, 901, 11931, 2333, 538, 9566, 4027, 814, 2016, 19015, 267, 607, 1134, 607, 8404, 267, 547, 4228, 570, 12767, 7690, 779, 7991, 9122, 7256, 25725, 11094, 960, 547, 824, 9381, 2127, 538, 715, 749, 648, 8664, 267, 1656, 31137, 21423, 267, 799, 8507, 538, 519, 10014, 540, 476, 1626, 5998, 538, 590, 592, 584, 7065, 3279, 10722, 303, 592, 545, 520, 5842, 551, 4231, 16186, 543, 476, 5655, 5998, 538, 1744, 686, 327, 926, 330, 7974, 6816, 630, 17239, 2752, 1916, 307, 12767, 7690, 10660, 1229, 513, 3811, 2146, 2861, 5726, 10872, 585, 519, 13155, 14462, 7759, 2917, 4262, 16015, 21224, 2059, 519, 5045, 3887, 6141, 5032, 540, 3127, 269, 634, 1489, 689, 519, 13812, 30733, 540, 519, 11206, 4972, 543, 519, 4972, 540, 30656, 540, 1656, 31137, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5353, 320, 25725, 11094, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 29510, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 5020, 781, 8262, 5999, 281, 4197, 22206, 1359, 543, 1215, 9671, 687, 6435, 2974, 595, 2100, 692, 7072, 912, 16908, 666, 581, 9157, 3006, 256, 1284, 782, 3068, 2591, 543, 7965, 602, 666, 2014, 721, 1928, 543, 18354, 269, 901, 568, 1018, 649, 1289, 834, 338, 4428, 1359, 2668, 1809, 1946, 1281, 7092, 2291, 286, 1656, 811, 11932, 267, 875, 666, 649, 4308, 609, 621, 950, 621, 4523, 286, 10801, 1686, 267, 1004, 723, 5828, 547, 10764, 547, 1265, 4267, 547, 891, 2462, 2055, 269, 2913, 781, 2263, 930, 540, 891, 2093, 1927, 2439, 4089, 476, 272, 281, 1548, 1772, 22206, 1359, 888, 306, 4428, 1359, 2501, 538, 1082, 3029, 269, 898, 1223, 581, 2168, 1928, 267, 971, 607, 950, 596, 10413, 3054, 4730, 5026, 269, 2107, 3929, 1928, 267, 899, 4743, 2451, 856, 950, 707, 2828, 1810, 1405, 16436, 596, 547, 13793, 856, 269, 4634, 9561, 1945, 1271, 267, 899, 513, 5172, 11442, 610, 1256, 2576, 2673, 547, 721, 267, 666, 1291, 547, 4606, 540, 28194, 543, 2530, 269, 1452, 2833, 7618, 721, 602, 7092, 568, 513, 2067, 851, 540, 1272, 780, 12244, 281, 9105, 1053, 547, 2671, 2053, 950, 789, 5433, 8909, 267, 21616, 267, 610, 25922, 269, 11512, 602, 891, 4606, 616, 3339, 2694, 540, 1272, 543, 616, 2010, 540, 7092, 269, 9181, 2081, 547, 6023, 2352, 4664, 4020, 1947, 630, 324, 3052, 1421, 6158, 827, 4606, 609, 11967, 4079, 267, 4466, 2635, 19240, 6393, 4089, 476, 273, 281, 4208, 6496, 22206, 1359, 19732, 523, 888, 3086, 602, 649, 1174, 1018, 7092, 568, 1577, 781, 1589, 827, 1946, 621, 6818, 269, 1703, 3884, 1405, 835, 2241, 2626, 267, 855, 1934, 616, 1079, 1455, 2093, 689, 1114, 10764, 1384, 265, 2368, 3494, 602, 7092, 568, 513, 1449, 610, 3992, 2366, 676, 513, 2362, 1379, 269, 1635, 6849, 23434, 267, 649, 1451, 3407, 1983, 267, 1831, 6793, 267, 543, 1332, 5923, 518, 269, 28304, 14488, 2337, 3337, 721, 883, 1732, 8747, 540, 6000, 563, 265, 11524, 1294, 7092, 607, 513, 1267, 540, 6650, 2006, 775, 1107, 519, 1249, 602, 3388, 2242, 543, 4986, 13978, 519, 1482, 269, 1879, 1919, 1689, 30122, 610, 1439, 10393, 267, 649, 949, 1745, 13347, 610, 14126, 269, 901, 2856, 19595, 721, 547, 5660, 1018, 649, 723, 1247, 649, 723, 621, 1317, 5555, 267, 3388, 786, 1780, 780, 30206, 281, 5620, 1053, 2015, 2436, 789, 3858, 610, 10990, 609, 2901, 7778, 269, 11559, 16614, 6643, 827, 1585, 16752, 593, 519, 8129, 540, 7092, 780, 4089, 476, 274, 281, 10515, 532, 2060, 22206, 1359, 3414, 18321, 454, 6624, 1004, 2490, 547, 4984, 1282, 4101, 2053, 269, 7756, 5132, 338, 2709, 2189, 5380, 593, 12003, 2994, 585, 7231, 609, 7092, 269, 1280, 1383, 1384, 265, 13221, 11414, 11009, 2553, 267, 4543, 2043, 3251, 5059, 593, 519, 1459, 4090, 2864, 982, 23029, 593, 2250, 1036, 28905, 610, 2104, 32370, 269, 28552, 9066, 610, 2620, 7244, 5751, 666, 3142, 4708, 9624, 24187, 563, 265, 8567, 11363, 8296, 543, 2146, 1489, 269, 5617, 773, 951, 5531, 1927, 585, 10847, 2533, 543, 11755, 2516, 267, 4687, 2984, 543, 5356, 4313, 538, 2053, 540, 991, 563, 265, 18420, 7512, 20174, 998, 2853, 899, 10649, 543, 669, 13589, 16051, 6652, 269, 4045, 532, 609, 13951, 543, 513, 10143, 3196, 2488, 4222, 543, 24176, 1282, 3843, 5712, 780, 21886, 5971, 1053, 547, 1382, 824, 10764, 543, 3605, 3606, 2409, 585, 5883, 7092, 998, 5132, 780, 6962, 912, 18698, 1272, 781, 2462, 2055, 267, 899, 1946, 649, 7985, 267, 2636, 721, 547, 2744, 1007, 4030, 543, 1020, 6043, 269, 17859, 540, 1367, 4978, 267, 1620, 875, 10764, 2232, 7092, 666, 10802, 938, 1378, 4485, 547, 7829, 14488, 269, 5457, 267, 1100, 2339, 1018, 9465, 8451, 267, 972, 568, 2141, 4126, 543, 7872, 585, 2208, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 4428, 1359, 9603, 547, 22695, 528, 766, 543, 5548, 4288, 454, 6637, 476, 273, 267, 7638, 572, 476, 1556, 454, 1556, 269, 1411, 20494, 557, 936, 1346, 945, 1058, 711, 581, 575, 7205, 585, 267, 543, 2943, 3717, 899, 519, 4121, 282, 8797, 2367, 798, 711, 20494, 557, 936, 519, 4666, 610, 519, 2713, 563, 763, 3119, 2832, 540, 1022, 4984, 568, 547, 4001, 922, 740, 6254, 338, 875, 547, 2661, 741, 2729, 543, 2932, 741, 3206, 543, 2623, 538, 513, 1158, 540, 20849, 18408, 267, 865, 602, 789, 666, 7753, 741, 7092, 543, 12492, 19802, 689, 519, 6180, 531, 1158, 269, 769, 1931, 547, 3035, 713, 6662, 621, 814, 547, 4001, 873, 610, 8300, 873, 547, 14719, 622, 2390, 1480, 7092, 267, 922, 3123, 543, 14319, 267, 676, 799, 789, 666, 711, 1152, 4308, 609, 741, 7092, 855, 849, 948, 1866, 269, 634, 5168, 568, 7092, 568, 519, 3844, 543, 8789, 6249, 540, 1480, 1272, 269, 898, 568, 2417, 24395, 730, 676, 1098, 1466, 543, 938, 17418, 547, 11883, 609, 621, 454, 2171, 1590, 917, 875, 547, 4383, 938, 2729, 1510, 1373, 16760, 676, 7092, 610, 676, 519, 4229, 602, 616, 3564, 938, 1852, 269, 898, 568, 1141, 938, 5132, 543, 3909, 4978, 2097, 883, 1404, 269, 1358, 1590, 948, 721, 9207, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1118, 2386, 547, 849, 2285, 519, 12826, 513, 1434, 28103, 543, 27125, 1055, 519, 12853, 1134, 563, 5629, 513, 3018, 267, 594, 786, 1118, 621, 513, 1448, 547, 21149, 1250, 3032, 779, 26633, 609, 16693, 269, 3807, 13248, 930, 3043, 16693, 883, 519, 12826, 267, 1577, 621, 1694, 585, 476, 1789, 25008, 543, 27125, 1134, 563, 7312, 9697, 779, 4826, 30558, 1772, 18320, 9540, 454, 2252, 596, 616, 1869, 1210, 519, 1482, 1216, 12826, 2479, 2094, 621, 729, 513, 6539, 1084, 267, 621, 568, 942, 547, 22010, 547, 513, 8273, 12826, 563, 5194, 2601, 602, 568, 4929, 707, 3032, 547, 711, 4235, 689, 922, 1699, 1216, 12826, 568, 31953, 518, 9854, 563, 7312, 3032, 779, 31953, 619, 616, 1360, 1279, 543, 6213, 547, 948, 621, 1847, 1472, 543, 2631, 8594, 563, 2252, 707, 3032, 568, 6704, 689, 513, 1216, 12826, 602, 568, 1932, 7522, 585, 922, 31953, 619, 547, 1780, 998, 267, 519, 3586, 27012, 540, 519, 31953, 619, 1996, 519, 5011, 540, 519, 12826, 786, 989, 10028, 707, 3032, 563, 5331, 2576, 17444, 707, 1750, 4060, 543, 20857, 707, 9224, 1169, 942, 596, 1491, 513, 4235, 540, 1216, 563, 8253, 513, 8799, 4743, 693, 782, 563, 296, 6557, 1210, 513, 2864, 2647, 543, 2620, 1216, 12826, 585, 1250, 3032, 269, 901, 2636, 2614, 4055, 585, 1010, 31953, 619, 543, 666, 3180, 2614, 1216, 547, 2063, 513, 1554, 563, 305, 7342, 25966, 853, 1725, 656, 4826, 454, 16352, 547, 4235, 689, 513, 24715, 656, 1216, 2707, 1522, 711, 581, 519, 1655, 4781, 585, 930, 7314, 563, 1103, 519, 3552, 267, 7314, 4043, 547, 11716, 24715, 656, 1216, 607, 621, 13514, 513, 2362, 1981, 540, 12526, 563, 18455, 2111, 547, 4235, 689, 513, 3001, 1216, 2707, 666, 1611, 513, 2603, 547, 930, 7314, 269, 1280, 7314, 602, 616, 13631, 547, 1216, 267, 9140, 513, 3032, 32446, 666, 9090, 5000, 707, 3032, 547, 4235, 811, 563, 2691, 594, 1101, 3893, 835, 585, 1250, 3032, 267, 621, 4769, 1406, 2731, 8141, 1010, 1719, 1498, 269, 1261, 1869, 9053, 1010, 2025, 1216, 12826, 563, 10190, 1586, 267, 1250, 3032, 30417, 2921, 29636, 899, 1010, 1272, 5673, 593, 621, 563, 2791, 1522, 723, 811, 1967, 609, 707, 3032, 563, 1692, 1677, 5269, 3733, 9697, 27276, 2859, 4826, 888, 10214, 952, 707, 3032, 568, 6704, 1216, 267, 621, 1522, 711, 581, 6704, 2614, 563, 2467, 3884, 1406, 606, 4013, 23988, 607, 547, 875, 1454, 1216, 513, 3032, 1058, 581, 6704, 269, 898, 849, 5673, 593, 922, 2732, 543, 2085, 563, 3719, 607, 513, 2489, 23988, 267, 1063, 476, 276, 547, 476, 1015, 5714, 13728, 786, 581, 1434, 585, 1034, 7314, 563, 2252, 707, 3032, 568, 6704, 855, 3884, 1406, 6704, 2614, 267, 972, 616, 930, 2081, 602, 596, 666, 2119, 547, 2333, 922, 1216, 6981, 563, 27087, 2659, 19949, 10791, 454, 2252, 596, 616, 8023, 707, 3032, 3819, 1426, 610, 737, 756, 7632, 267, 5225, 3247, 269, 30839, 707, 3032, 971, 513, 2732, 887, 2125, 873, 540, 782, 519, 1271, 20697, 602, 789, 991, 563, 291, 787, 1426, 3568, 1100, 1216, 543, 666, 2014, 1082, 1072, 2042, 1524, 519, 4155, 563, 9558, 819, 707, 3032, 547, 513, 27574, 1426, 2732, 610, 6151, 5779, 2732, 269, 1452, 11326, 616, 811, 2067, 585, 7314, 543, 2270, 513, 2603, 811, 1216, 563, 11754, 2368, 7935, 628, 454, 29002, 19471, 26185, 547, 707, 3032, 779, 1426, 568, 513, 1390, 1259, 547, 948, 2333, 707, 3032, 779, 14031, 543, 1216, 6981, 563, 296, 1265, 713, 1568, 1360, 1134, 585, 7210, 7314, 945, 1522, 711, 723, 1454, 540, 606, 14031, 563, 2467, 616, 20749, 1500, 5642, 2156, 2195, 602, 616, 5921, 585, 10130, 269, 1809, 594, 4782, 547, 1118, 9553, 693, 1753, 676, 1175, 31652, 532, 3662, 610, 3165, 7633, 538, 1216, 585, 606, 5662, 563, 296, 786, 1577, 519, 7848, 3579, 1354, 8023, 930, 547, 1250, 3032, 269, 7490, 798, 711, 3049, 707, 3032, 519, 11273, 7633, 607, 789, 666, 10943, 5793, 543, 3614, 675, 707, 3032, 779, 5023, 543, 11563, 563, 306, 344, 16206, 2659, 9697, 454, 8253, 519, 1655, 1259, 547, 2333, 707, 3032, 779, 1216, 6981, 855, 26525, 2053, 2154, 26525, 3800, 563, 8253, 1082, 3032, 5411, 2972, 3257, 713, 1317, 621, 568, 17173, 585, 1312, 519, 3032, 543, 1480, 563, 4913, 267, 952, 707, 3032, 568, 1031, 547, 1373, 861, 2590, 539, 2094, 1762, 267, 1287, 713, 1505, 786, 581, 513, 30089, 585, 596, 563, 2252, 707, 3032, 3884, 1406, 6704, 1216, 610, 3884, 1406, 6704, 2614, 267, 861, 2590, 532, 707, 3032, 568, 519, 1655, 1259, 547, 3196, 1922, 3975, 707, 3032, 609, 811, 1216, 563, 296, 1131, 5077, 519, 17022, 1354, 3257, 865, 1175, 547, 581, 2386, 540, 519, 2179, 540, 1216, 547, 581, 4758, 707, 3032, 563, 1692, 1677, 6744, 1403, 3733, 9697, 1772, 1546, 5139, 3603, 888, 763, 1655, 1259, 547, 2995, 952, 707, 3032, 568, 18113, 19872, 610, 13204, 3603, 568, 547, 798, 513, 2960, 1449, 693, 1753, 563, 303, 514, 577, 519, 2960, 1063, 707, 3032, 779, 13105, 19059, 543, 12740, 621, 909, 513, 7008, 540, 6279, 269, 24793, 519, 2960, 543, 7747, 875, 621, 8813, 1394, 538, 1747, 563, 763, 2960, 540, 513, 1134, 31622, 3603, 3032, 786, 723, 1434, 22786, 543, 3533, 26882, 1394, 547, 922, 3312, 2990, 269, 1403, 707, 3032, 568, 13204, 3603, 267, 519, 5578, 786, 1491, 513, 7008, 540, 7643, 547, 7017, 1394, 563, 2467, 616, 849, 4255, 602, 2154, 11287, 707, 3032, 779, 14779, 610, 4064, 269, 1809, 594, 13948, 1265, 519, 2960, 1449, 547, 581, 6190, 563, 5804, 713, 1449, 267, 596, 786, 917, 952, 707, 3032, 2115, 547, 581, 2921, 538, 811, 1216, 610, 711, 563, 3963, 6496, 3733, 9697, 670, 836, 4706, 10361, 3683, 634, 4826, 30558, 888, 19950, 5944, 2614, 267, 594, 729, 5143, 676, 930, 540, 1250, 3988, 945, 1185, 7314, 602, 13793, 741, 9843, 936, 519, 1216, 12826, 1510, 6704, 563, 7343, 30068, 267, 621, 729, 3361, 676, 10194, 3676, 538, 7314, 1572, 2836, 545, 643, 6400, 543, 3474, 341, 21552, 563, 1432, 568, 674, 5202, 2836, 545, 643, 6400, 888, 1607, 3644, 666, 2014, 7929, 3968, 543, 5711, 2068, 538, 7314, 269, 898, 568, 3810, 21380, 543, 19082, 3362, 538, 4620, 24181, 543, 3032, 10125, 563, 5278, 540, 519, 1455, 2589, 616, 912, 268, 715, 29569, 543, 3750, 11166, 454, 268, 17327, 21385, 454, 268, 19768, 540, 14031, 454, 290, 1846, 609, 1608, 545, 643, 6400, 666, 581, 865, 3170, 580, 4240, 547, 519, 1448, 540, 1373, 1932, 13110, 547, 4235, 1256, 950, 789, 616, 16304, 936, 519, 1216, 12826, 563, 14188, 2685, 267, 1034, 7314, 666, 1118, 513, 2407, 6051, 689, 713, 609, 1697, 1416, 543, 6646, 563, 1432, 1772, 674, 5202, 7754, 548, 4157, 13449, 807, 888, 293, 5202, 3443, 548, 4157, 13449, 807, 568, 811, 5906, 982, 519, 1608, 545, 643, 6400, 607, 621, 6285, 2281, 602, 616, 2111, 547, 7941, 538, 519, 3032, 779, 1560, 899, 519, 5642, 20768, 267, 24026, 543, 21565, 563, 5278, 540, 519, 1455, 2589, 616, 912, 268, 27275, 13165, 454, 268, 19768, 540, 14031, 454, 268, 590, 9231, 538, 4395, 540, 519, 1216, 12826, 855, 711, 6704, 454, 268, 715, 29569, 11166, 454, 2467, 3884, 1406, 513, 1634, 10826, 585, 713, 10194, 3968, 855, 7314, 666, 9156, 609, 1697, 14021, 11215, 1416, 563, 10673, 1406, 7227, 547, 1491, 707, 3032, 547, 519, 17022, 952, 596, 8068, 602, 621, 814, 711, 1044, 6704, 1759, 593, 922, 8912, 6704, 6208, 563, 290, 1846, 723, 27058, 519, 1148, 540, 15720, 741, 19210, 543, 1919, 666, 1205, 856, 540, 1688, 855, 519, 942, 789, 1376, 547, 1397, 2589, 269, 0, 763, 10020, 540, 12192, 645, 1321, 538, 1473, 340, 1027, 8426, 983, 21311, 640, 543, 570, 22568, 29766, 1107, 29362, 689, 7186, 5450, 29440, 454, 24791, 645, 1321, 267, 849, 1634, 607, 524, 2128, 3133, 267, 568, 606, 1898, 8770, 602, 4249, 513, 2629, 1909, 538, 1585, 12214, 3157, 538, 519, 1480, 1560, 269, 898, 568, 5097, 3238, 538, 519, 2504, 540, 2699, 1973, 2281, 267, 5027, 10282, 267, 543, 1697, 8647, 540, 519, 8401, 1062, 269, 1717, 267, 2487, 1382, 814, 8774, 1769, 593, 519, 1761, 1909, 540, 6171, 645, 1321, 538, 13251, 10408, 29010, 543, 5160, 7816, 267, 3246, 3407, 4030, 883, 922, 9354, 3156, 563, 28053, 983, 29010, 4016, 547, 519, 2702, 540, 2281, 547, 1689, 741, 3961, 610, 1599, 538, 3210, 547, 1808, 6786, 610, 15128, 269, 901, 7613, 568, 2629, 1282, 25782, 1646, 267, 5160, 20344, 267, 543, 7816, 3157, 269, 769, 2487, 1296, 267, 3744, 723, 4362, 602, 1978, 2188, 267, 1519, 6171, 645, 1321, 267, 666, 16578, 10408, 29010, 538, 1585, 1591, 2010, 267, 3056, 547, 741, 7004, 883, 1114, 1591, 1899, 1137, 563, 3080, 540, 519, 1034, 7415, 1806, 540, 13251, 10408, 29010, 568, 519, 7503, 540, 4017, 549, 4565, 6814, 267, 799, 616, 24561, 5160, 2281, 267, 883, 13251, 726, 584, 760, 582, 550, 6565, 2281, 630, 328, 4916, 12336, 1040, 1775, 4916, 12336, 4865, 519, 2189, 2702, 547, 16174, 883, 1022, 1591, 1826, 538, 519, 1560, 267, 1818, 873, 513, 3407, 1907, 585, 27532, 4915, 269, 11153, 2090, 723, 7152, 602, 6171, 645, 1321, 666, 3986, 519, 4398, 540, 1775, 28903, 5108, 689, 4017, 549, 4565, 6814, 676, 5009, 519, 1065, 5766, 1090, 2719, 1184, 563, 763, 7271, 3297, 6171, 645, 1321, 14001, 10408, 29010, 3322, 922, 1909, 607, 513, 1071, 26476, 585, 11476, 1572, 18861, 10520, 2536, 1162, 269, 1452, 11476, 616, 3743, 585, 4946, 18861, 2516, 547, 5027, 543, 1277, 2158, 267, 799, 666, 10038, 5444, 4082, 3270, 269, 12192, 645, 1321, 6411, 607, 513, 18861, 20033, 585, 891, 11476, 267, 14123, 519, 27981, 2045, 12381, 2556, 585, 10408, 1065, 5766, 1090, 2719, 563, 13010, 267, 6171, 645, 1321, 814, 1044, 3254, 547, 3986, 5160, 7816, 3157, 538, 1585, 3662, 3631, 269, 1280, 3236, 267, 538, 513, 1353, 3370, 538, 7186, 5450, 29440, 267, 3173, 1336, 602, 6171, 645, 1321, 21455, 4824, 10138, 7067, 538, 8983, 269, 634, 6171, 15469, 519, 9194, 543, 18735, 540, 2960, 2281, 267, 3056, 547, 5488, 19479, 540, 519, 10138, 269, 3958, 267, 6171, 645, 1321, 8476, 20018, 10282, 267, 513, 2629, 5057, 540, 519, 29414, 5119, 602, 2488, 7293, 1489, 547, 8031, 563, 763, 9354, 1761, 540, 6171, 645, 1321, 538, 5160, 7816, 11498, 3564, 10138, 7067, 269, 5525, 723, 849, 7152, 922, 6225, 2360, 538, 31895, 17654, 3676, 267, 971, 607, 12216, 779, 543, 19576, 779, 2068, 269, 12192, 645, 1321, 21455, 814, 1044, 3254, 547, 2149, 11409, 689, 19842, 2566, 267, 2569, 6553, 267, 543, 3895, 27090, 20344, 269, 1452, 4681, 2303, 602, 6171, 645, 1321, 1223, 581, 513, 9621, 7755, 9417, 3797, 585, 31895, 17654, 4713, 563, 4407, 519, 1909, 540, 6171, 645, 1321, 538, 13251, 10408, 29010, 543, 5160, 7816, 568, 9621, 267, 2417, 1382, 568, 2877, 547, 4628, 1174, 922, 6127, 543, 1761, 3156, 269, 3958, 267, 519, 6099, 18262, 543, 6765, 2409, 585, 9354, 5301, 991, 547, 581, 5462, 563, 1103, 3932, 267, 6171, 645, 1321, 4249, 513, 2629, 1909, 538, 13251, 10408, 29010, 543, 5160, 7816, 269, 4706, 2702, 547, 3986, 519, 1065, 5766, 1090, 2719, 540, 2281, 883, 726, 584, 760, 582, 550, 6565, 2281, 543, 3895, 5160, 20344, 2306, 621, 513, 3407, 1907, 538, 27532, 4915, 269, 5015, 267, 922, 9354, 1761, 538, 31895, 17654, 3676, 8711, 922, 2956, 538, 4509, 1697, 27090, 1599, 269, 8033, 4240, 1382, 538, 713, 2361, 786, 17216, 1683, 2417, 4030, 883, 519, 9354, 3156, 540, 6171, 645, 1321, 538, 5009, 10408, 29010, 543, 5160, 7816, 269, 0, 12640, 520, 568, 519, 23611, 10286, 602, 568, 10057, 519, 1034, 5781, 782, 936, 519, 8608, 269, 5453, 520, 568, 519, 1455, 2012, 585, 519, 6079, 602, 2501, 689, 6371, 269, 4475, 267, 713, 23611, 10286, 7594, 568, 513, 2596, 13766, 538, 1169, 4182, 563, 8489, 1705, 621, 22132, 888, 12640, 520, 24865, 689, 513, 1826, 540, 6371, 1572, 968, 307, 26578, 636, 1848, 29968, 10568, 267, 1572, 968, 21720, 10568, 2223, 568, 519, 1034, 1271, 2249, 269, 20736, 636, 568, 25250, 900, 1067, 267, 543, 552, 1074, 1941, 568, 1776, 1826, 540, 10568, 5532, 547, 918, 1817, 553, 534, 10568, 269, 29968, 543, 824, 19323, 1919, 666, 1152, 581, 1500, 609, 519, 1079, 5686, 540, 7912, 269, 1703, 616, 849, 5033, 565, 2088, 267, 4439, 326, 584, 267, 16717, 32654, 267, 18437, 267, 30653, 267, 543, 824, 3536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24171, 262, 20145, 476, 1724, 628, 9990, 692, 13775, 676, 21942, 692, 6637, 476, 1691, 281, 3487, 658, 14216, 643, 2510, 910, 8791, 476, 1691, 269, 276, 910, 667, 27399, 14216, 643, 2510, 543, 27240, 1304, 966, 26662, 910, 20113, 476, 1691, 269, 276, 910, 8525, 476, 279, 2918, 281, 476, 1321, 692, 12585, 692, 27572, 275, 6911, 13480, 5153, 676, 5153, 692, 1103, 1931, 547, 1265, 519, 9864, 12045, 267, 649, 786, 16174, 609, 2463, 547, 1269, 343, 8961, 676, 5329, 1269, 344, 259, 607, 513, 3586, 547, 1265, 519, 1535, 18396, 15453, 540, 519, 13506, 6152, 267, 543, 13030, 17930, 281, 1269, 325, 13448, 284, 275, 343, 8607, 535, 14729, 284, 476, 273, 344, 259, 3503, 519, 13506, 3830, 269, 4399, 10109, 5055, 535, 11196, 272, 267, 272, 6661, 1422, 2741, 535, 13448, 267, 325, 14729, 1422, 25885, 815, 1422, 2741, 476, 275, 8987, 272, 1070, 476, 273, 263, 272, 264, 1422, 25885, 31386, 2741, 910, 275, 267, 273, 1422, 25885, 259, 4935, 267, 1269, 341, 7807, 13320, 346, 340, 2410, 347, 340, 347, 348, 815, 1422, 13320, 3189, 2741, 476, 274, 267, 910, 275, 1422, 25885, 476, 7346, 6912, 2715, 274, 317, 273, 266, 8987, 275, 8203, 273, 3686, 31386, 2741, 1422, 13320, 346, 274, 2410, 276, 9574, 1422, 13320, 24877, 275, 2410, 276, 348, 1422, 25885, 259, 634, 4287, 531, 12045, 693, 602, 4287, 568, 2016, 607, 281, 1269, 291, 24449, 535, 7807, 10109, 5055, 535, 1422, 10383, 642, 7807, 2741, 910, 275, 267, 273, 1422, 25885, 1422, 9392, 1422, 2741, 1422, 13320, 346, 274, 2410, 276, 9574, 1422, 13320, 24877, 275, 2410, 276, 348, 1422, 25885, 815, 268, 275, 6911, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 258, 21091, 10789, 910, 10789, 5899, 910, 667, 8016, 676, 535, 329, 16852, 836, 329, 684, 692, 26177, 306, 281, 476, 10436, 623, 8980, 2464, 281, 476, 10602, 692, 1892, 30127, 476, 272, 454, 3499, 20930, 4848, 15235, 4449, 11434, 5990, 5254, 12442, 11581, 24102, 667, 7968, 11286, 16774, 1315, 5990, 6167, 4353, 8991, 14510, 5508, 5990, 454, 4306, 12442, 5508, 21832, 962, 3036, 298, 1315, 9338, 289, 3198, 312, 267, 12924, 476, 14338, 4097, 454, 10501, 5382, 267, 19019, 267, 543, 19019, 531, 5303, 12243, 910, 18740, 476, 17168, 661, 289, 454, 4178, 269, 2114, 322, 8542, 903, 539, 10993, 11305, 807, 328, 454, 16942, 281, 900, 2675, 333, 903, 4118, 287, 21166, 8542, 903, 539, 10993, 692, 10481, 5852, 454, 25456, 570, 3696, 585, 21091, 10789, 267, 2919, 676, 1715, 3840, 3557, 3610, 267, 616, 5587, 5874, 267, 2417, 454, 30161, 8724, 519, 1893, 543, 8247, 540, 519, 2404, 13437, 25824, 2209, 269, 1452, 4247, 616, 711, 1449, 3688, 2676, 24335, 616, 789, 5921, 585, 1053, 262, 946, 563, 9616, 281, 1703, 616, 1100, 12726, 570, 3696, 585, 519, 7089, 23281, 543, 15051, 267, 20970, 267, 543, 10803, 543, 454, 23536, 1464, 18135, 2738, 269, 4014, 972, 616, 1100, 13437, 25824, 2209, 585, 891, 22204, 538, 713, 3296, 540, 519, 454, 14537, 6437, 267, 891, 22204, 616, 1869, 851, 540, 6044, 1369, 519, 824, 22204, 607, 606, 5571, 27795, 454, 663, 2679, 1184, 540, 6310, 1702, 585, 782, 1053, 780, 1805, 571, 2738, 454, 31088, 13376, 12474, 692, 19370, 14572, 3546, 7089, 23281, 543, 15051, 692, 3725, 1783, 532, 543, 19577, 2018, 10789, 692, 31636, 4449, 476, 16387, 692, 21010, 687, 7386, 20970, 692, 11847, 19948, 4449, 10803, 543, 17438, 692, 19370, 14572, 853, 8681, 692, 10743, 786, 28265, 1007, 6310, 1702, 998, 1966, 6061, 780, 294, 269, 4916, 269, 272, 16875, 2422, 513, 3099, 540, 1966, 6061, 2994, 547, 1174, 1007, 6310, 1543, 692, 294, 269, 4916, 269, 272, 320, 454, 11917, 1555, 1896, 1114, 2450, 26561, 1500, 540, 4496, 610, 21312, 269, 4635, 13888, 1957, 267, 4020, 513, 13409, 609, 454, 1492, 1482, 3490, 543, 4463, 607, 1142, 12718, 269, 19130, 519, 13409, 609, 7573, 267, 1287, 13248, 519, 7573, 883, 519, 12718, 563, 3725, 701, 520, 2394, 519, 12718, 568, 4904, 269, 16680, 707, 1239, 563, 1432, 568, 519, 2078, 1063, 519, 4320, 540, 519, 12718, 543, 519, 4320, 540, 519, 7222, 454, 322, 821, 888, 8624, 937, 519, 1362, 1239, 585, 713, 4603, 563, 8196, 519, 1239, 547, 2328, 513, 4542, 585, 519, 4320, 540, 513, 13409, 609, 8953, 678, 543, 4463, 554, 780, 294, 269, 4916, 269, 272, 321, 454, 8196, 513, 22315, 610, 6422, 9511, 3301, 547, 4020, 513, 2834, 546, 1712, 322, 6782, 630, 320, 2834, 1321, 21758, 20372, 1916, 1432, 568, 519, 2268, 540, 1142, 3844, 5086, 538, 519, 2834, 546, 1712, 322, 6782, 888, 8340, 519, 2268, 540, 1142, 5086, 540, 519, 2834, 546, 1712, 322, 6782, 563, 15761, 754, 835, 540, 519, 5011, 540, 519, 2834, 546, 1712, 322, 6782, 563, 1432, 568, 519, 2268, 540, 519, 16538, 5086, 602, 568, 4646, 950, 835, 540, 519, 5011, 568, 6905, 888, 272, 454, 10743, 786, 4194, 2042, 602, 8451, 538, 6128, 543, 538, 824, 8658, 780, 294, 269, 4916, 269, 273, 16875, 27297, 543, 2491, 3270, 547, 25666, 2489, 3074, 543, 28756, 999, 692, 294, 269, 4916, 269, 273, 320, 454, 2750, 8533, 519, 6516, 540, 513, 1318, 21083, 24388, 2630, 780, 27855, 875, 513, 7077, 543, 519, 24388, 1223, 12969, 865, 602, 519, 10167, 568, 912, 320, 1899, 6252, 547, 835, 540, 519, 21083, 13279, 454, 320, 1899, 13902, 547, 519, 21083, 13279, 454, 320, 6906, 454, 320, 13551, 454, 320, 25671, 1355, 692, 294, 269, 4916, 269, 273, 321, 454, 8196, 513, 22315, 610, 2780, 3301, 547, 2721, 513, 5858, 609, 4099, 595, 1547, 8571, 513, 16147, 9474, 4586, 16521, 543, 6003, 2185, 2798, 593, 519, 5858, 543, 593, 519, 1482, 2427, 540, 16147, 9474, 4586, 19352, 543, 2268, 519, 2185, 7285, 4646, 676, 519, 1439, 9557, 540, 519, 16147, 543, 1142, 540, 519, 2185, 2798, 563, 1432, 798, 596, 7747, 827, 519, 3800, 540, 891, 7285, 888, 9288, 5501, 519, 3844, 5086, 267, 17986, 494, 3722, 289, 1547, 1772, 972, 1022, 2078, 1063, 519, 2268, 540, 606, 27485, 5086, 4646, 454, 6748, 519, 1439, 9557, 540, 519, 16147, 543, 1776, 1448, 593, 519, 5858, 543, 519, 3844, 5086, 4646, 1210, 519, 454, 754, 9557, 540, 519, 16147, 888, 22428, 519, 2185, 2798, 6074, 593, 519, 5858, 941, 593, 519, 824, 2427, 540, 519, 16147, 563, 1692, 616, 519, 27485, 7285, 4646, 1210, 891, 2798, 543, 519, 1439, 9557, 540, 519, 16147, 1644, 547, 519, 454, 1231, 8282, 7285, 4646, 538, 519, 1101, 2243, 2496, 294, 269, 4916, 269, 273, 322, 454, 13706, 519, 1739, 28756, 675, 281, 634, 10167, 540, 1079, 3982, 14742, 666, 581, 513, 1448, 269, 4855, 513, 968, 9418, 454, 16447, 892, 1383, 602, 7028, 519, 28756, 675, 610, 2488, 513, 1293, 699, 343, 2217, 547, 519, 28756, 675, 269, 9523, 707, 454, 9987, 609, 513, 7649, 543, 946, 707, 1702, 540, 9511, 538, 1614, 21021, 2230, 547, 17854, 621, 780, 294, 269, 4916, 269, 273, 323, 454, 8794, 6422, 9511, 3301, 267, 12398, 519, 4931, 22487, 267, 10996, 518, 267, 9647, 665, 10938, 267, 543, 1298, 5514, 540, 513, 2016, 454, 2710, 1022, 540, 519, 2185, 7740, 2141, 2611, 3330, 519, 5858, 888, 2252, 513, 4099, 568, 6410, 3544, 540, 519, 6906, 267, 896, 1018, 6381, 786, 621, 4755, 888, 6701, 519, 2185, 7740, 2479, 897, 15035, 286, 1403, 865, 267, 896, 1018, 6381, 888, 27855, 1018, 4523, 547, 519, 7740, 952, 519, 6906, 568, 513, 1318, 6906, 780, 273, 454, 294, 269, 4916, 269, 273, 324, 454, 763, 3830, 585, 513, 8086, 936, 519, 586, 14289, 267, 681, 343, 23880, 476, 271, 2073, 568, 681, 343, 23880, 476, 271, 630, 1535, 267, 586, 264, 25104, 362, 630, 24033, 511, 1535, 267, 586, 264, 4586, 8340, 513, 4806, 585, 10452, 513, 1448, 936, 1776, 7299, 1899, 971, 607, 1535, 815, 476, 275, 563, 2237, 606, 3830, 585, 10452, 513, 1448, 936, 1022, 7299, 1899, 586, 815, 737, 692, 294, 269, 4916, 269, 273, 325, 692, 763, 3830, 585, 513, 8086, 936, 519, 1535, 14289, 267, 567, 681, 586, 23880, 476, 271, 2073, 568, 681, 586, 23880, 476, 271, 630, 1535, 267, 586, 264, 25104, 362, 630, 1535, 267, 12865, 511, 586, 264, 4586, 8340, 513, 4806, 585, 10452, 513, 1448, 936, 1776, 8880, 1899, 971, 607, 586, 815, 476, 274, 563, 2237, 606, 3830, 585, 10452, 513, 1448, 936, 1022, 8880, 1899, 586, 815, 554, 692, 294, 269, 4916, 269, 274, 16875, 2422, 2789, 11269, 547, 2099, 543, 2491, 1966, 3871, 630, 324, 3052, 1421, 8901, 2676, 613, 6248, 267, 11913, 267, 25948, 267, 15821, 267, 543, 21370, 11269, 2020, 294, 269, 4916, 269, 274, 320, 454, 13706, 519, 1739, 28756, 675, 281, 634, 10167, 540, 1079, 3982, 14742, 666, 581, 513, 1448, 269, 4855, 513, 968, 9418, 454, 16447, 892, 1383, 602, 7028, 519, 28756, 675, 610, 2488, 513, 1293, 699, 343, 2217, 547, 519, 28756, 675, 269, 9523, 707, 454, 9987, 609, 513, 7649, 543, 946, 707, 1702, 540, 9511, 538, 1614, 21021, 2230, 547, 17854, 621, 780, 294, 269, 4916, 269, 274, 321, 454, 19352, 513, 1899, 593, 513, 4062, 540, 21312, 269, 2422, 3606, 4773, 540, 21312, 547, 4020, 1079, 14742, 602, 616, 454, 704, 12993, 547, 519, 1899, 602, 596, 16668, 269, 5269, 513, 28756, 675, 3823, 1346, 1079, 14742, 543, 2671, 707, 1383, 454, 5976, 513, 7649, 543, 946, 707, 1702, 540, 9511, 538, 1614, 21021, 2230, 547, 17854, 707, 28756, 675, 780, 294, 269, 4916, 269, 274, 322, 454, 29991, 519, 1448, 4433, 264, 538, 519, 7077, 602, 616, 1226, 573, 9665, 689, 519, 2798, 589, 263, 273, 267, 277, 1070, 645, 263, 275, 267, 275, 1070, 543, 595, 263, 279, 267, 277, 6393, 294, 269, 4916, 269, 274, 323, 454, 1103, 4137, 476, 272, 513, 5858, 568, 6537, 602, 10596, 998, 519, 1448, 11196, 272, 267, 271, 1040, 29172, 568, 13902, 547, 519, 586, 14289, 693, 645, 519, 454, 4812, 1141, 519, 5858, 22613, 519, 586, 14289, 269, 14662, 568, 13902, 547, 519, 1535, 14289, 693, 519, 1448, 1141, 595, 22613, 454, 1492, 1535, 14289, 269, 1306, 1448, 590, 568, 1951, 13949, 267, 519, 10974, 540, 1448, 590, 616, 6394, 543, 6740, 538, 700, 272, 543, 700, 273, 607, 3254, 454, 514, 4137, 476, 273, 269, 589, 14649, 4729, 540, 519, 1239, 568, 3254, 538, 4137, 476, 274, 609, 4137, 476, 275, 6029, 519, 6885, 5468, 585, 519, 454, 23054, 269, 7053, 513, 1379, 9695, 568, 5340, 593, 713, 1239, 609, 519, 4611, 1599, 10268, 538, 4137, 476, 276, 454, 5976, 922, 3830, 2016, 538, 4137, 476, 277, 780, 274, 454, 1103, 2516, 540, 1614, 610, 2185, 1865, 519, 2164, 602, 596, 1294, 538, 713, 2534, 269, 8382, 519, 1739, 2055, 538, 454, 3674, 519, 1599, 10257, 585, 713, 1239, 888, 12441, 596, 5431, 513, 4806, 538, 519, 8638, 540, 1239, 888, 23737, 1946, 9823, 543, 14662, 616, 1644, 563, 1432, 568, 519, 4644, 540, 589, 1373, 4092, 693, 519, 1448, 11196, 272, 267, 271, 25145, 13750, 519, 11532, 602, 596, 723, 6594, 602, 1175, 5809, 891, 2164, 780, 10743, 786, 4019, 543, 3082, 513, 3099, 540, 3617, 2994, 547, 4194, 2042, 780, 294, 269, 4916, 269, 275, 16875, 20472, 1585, 2010, 540, 7744, 267, 7440, 267, 1175, 5874, 543, 2409, 540, 6169, 454, 1721, 2042, 692, 294, 269, 4916, 269, 275, 320, 454, 13706, 513, 12718, 267, 513, 13409, 267, 543, 513, 12106, 602, 723, 519, 1482, 8953, 543, 519, 1482, 4463, 563, 306, 8208, 577, 543, 6003, 1142, 4137, 563, 1432, 568, 519, 2078, 1063, 519, 4320, 540, 519, 12718, 543, 519, 4320, 540, 519, 13409, 888, 1432, 568, 519, 2078, 1063, 519, 4320, 540, 519, 13409, 543, 519, 4320, 540, 519, 12106, 888, 1432, 568, 519, 2078, 1063, 519, 4320, 540, 519, 12718, 543, 519, 4320, 540, 519, 12106, 888, 8196, 519, 12596, 585, 519, 4320, 540, 513, 12718, 267, 513, 13409, 267, 543, 513, 12106, 547, 17854, 28879, 602, 454, 1492, 3347, 538, 519, 3105, 2694, 616, 2953, 780, 294, 269, 4916, 269, 275, 321, 454, 8196, 513, 2786, 8354, 547, 2721, 606, 5086, 543, 6003, 621, 567, 17986, 494, 27398, 1547, 3973, 4020, 519, 20312, 10725, 540, 17986, 494, 27398, 676, 454, 31742, 532, 519, 5650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 1382, 1957, 568, 513, 1826, 540, 4081, 1603, 602, 2488, 606, 538, 3829, 2079, 267, 6268, 267, 610, 7664, 540, 513, 2582, 1888, 602, 12346, 593, 12170, 2963, 269, 898, 568, 2147, 547, 10763, 3594, 267, 4352, 621, 11363, 519, 946, 540, 8579, 1239, 607, 1134, 607, 840, 1410, 12371, 1382, 538, 1899, 609, 7453, 3009, 585, 11239, 269, 589, 1382, 1957, 568, 2808, 519, 22449, 540, 2413, 2257, 543, 606, 2500, 1259, 540, 4687, 1344, 2066, 513, 2647, 3060, 269, 2368, 1004, 24559, 2933, 609, 1382, 4574, 1318, 689, 1153, 282, 12621, 946, 873, 950, 4152, 1053, 685, 1702, 538, 1978, 2127, 269, 898, 3096, 6101, 267, 1025, 663, 1893, 547, 2057, 9186, 269, 12824, 2328, 741, 4681, 10750, 569, 609, 7222, 2963, 971, 602, 621, 666, 581, 1031, 676, 824, 3173, 538, 741, 4574, 269, 1703, 568, 1100, 17386, 3259, 540, 513, 1382, 1957, 855, 621, 5673, 593, 519, 1888, 610, 7084, 269, 9747, 267, 713, 2376, 5654, 693, 519, 3268, 1031, 538, 1603, 513, 1382, 1957, 543, 4758, 598, 5477, 4681, 563, 16032, 6732, 5675, 22868, 538, 15057, 476, 1708, 273, 630, 12749, 476, 1015, 994, 1692, 1677, 3399, 14288, 5675, 538, 15057, 454, 1692, 13518, 9701, 594, 932, 1618, 585, 19577, 15105, 3131, 476, 1911, 271, 9293, 454, 3721, 338, 1677, 5675, 513, 3194, 7433, 454, 2690, 1053, 945, 1616, 547, 2328, 513, 1382, 1957, 267, 2630, 568, 513, 1900, 8386, 9912, 3391, 547, 948, 596, 2328, 513, 3501, 543, 598, 5477, 1382, 1957, 269, 1452, 2489, 4808, 786, 1832, 596, 593, 3950, 950, 1603, 563, 308, 2955, 2659, 12143, 454, 6524, 4358, 547, 2328, 1022, 1382, 1957, 621, 568, 1271, 547, 1101, 1174, 519, 7084, 1134, 269, 898, 568, 9670, 875, 1034, 1053, 1376, 513, 1382, 1957, 1510, 2542, 519, 4808, 540, 519, 7084, 269, 4475, 267, 707, 1101, 1900, 568, 547, 5402, 2689, 543, 1174, 519, 1603, 5401, 269, 10312, 593, 519, 2930, 4170, 971, 607, 3259, 267, 11249, 4170, 630, 338, 17532, 5288, 5595, 19437, 267, 25034, 687, 267, 3092, 13776, 543, 11239, 2511, 269, 6333, 2436, 596, 991, 606, 7493, 610, 1331, 513, 3382, 2985, 269, 2991, 1620, 519, 7084, 267, 596, 1246, 519, 9788, 1184, 547, 3136, 1510, 7508, 1022, 2798, 563, 16521, 2659, 13445, 454, 2691, 621, 2501, 547, 1930, 25804, 10467, 267, 7446, 513, 1888, 568, 519, 1034, 1271, 2460, 2094, 621, 11887, 782, 602, 1246, 950, 1603, 513, 1382, 1957, 269, 898, 949, 3100, 2241, 855, 621, 568, 519, 1034, 1271, 3375, 596, 786, 1118, 538, 1603, 513, 1382, 1957, 269, 634, 1292, 10862, 950, 7446, 513, 1888, 568, 2436, 621, 786, 1683, 2614, 1543, 543, 6219, 585, 519, 3003, 1957, 269, 2290, 1131, 3442, 513, 1888, 602, 814, 2614, 1239, 543, 6988, 585, 513, 21950, 4901, 269, 1717, 267, 2057, 2489, 3584, 543, 6529, 547, 1808, 3584, 1247, 8720, 4143, 1344, 1510, 5969, 1932, 1454, 269, 4855, 1945, 602, 596, 616, 6899, 609, 950, 7829, 543, 814, 2614, 2179, 540, 1543, 563, 294, 1430, 2776, 14083, 3194, 454, 5629, 596, 723, 513, 1888, 267, 1376, 5612, 585, 519, 1732, 540, 519, 1382, 269, 4855, 856, 1018, 1382, 568, 2139, 585, 707, 1888, 269, 7216, 1382, 1579, 1513, 2476, 1022, 20887, 596, 949, 723, 827, 519, 1888, 1247, 13031, 519, 1655, 10092, 543, 4485, 547, 1265, 811, 1570, 269, 1411, 666, 1265, 2959, 2228, 610, 538, 513, 5399, 269, 1403, 2228, 267, 2327, 547, 946, 23674, 2959, 899, 2257, 13746, 610, 4081, 4574, 585, 2653, 543, 1463, 1603, 269, 1879, 11018, 16861, 1382, 267, 1832, 538, 2247, 519, 3017, 1063, 3119, 543, 6281, 2959, 950, 10478, 269, 12729, 2959, 1331, 3370, 4930, 610, 17770, 13132, 1247, 6281, 14122, 2565, 8039, 610, 2034, 8518, 22808, 269, 898, 568, 1271, 547, 1236, 574, 998, 2959, 2864, 982, 2542, 1142, 4628, 269, 6884, 267, 513, 3332, 2689, 568, 2838, 799, 6941, 707, 2959, 543, 6799, 873, 585, 21533, 563, 2237, 589, 19080, 15048, 454, 5475, 4466, 4143, 1382, 2959, 267, 2328, 513, 5098, 3948, 602, 10502, 26564, 1018, 707, 1382, 1957, 786, 581, 827, 269, 898, 568, 519, 1101, 3948, 602, 2306, 621, 707, 5467, 779, 4367, 547, 519, 1888, 269, 4033, 982, 8600, 707, 5467, 267, 621, 2306, 621, 4443, 585, 824, 3173, 547, 23754, 2436, 610, 711, 707, 1957, 568, 3730, 547, 873, 585, 741, 1382, 269, 589, 1434, 5098, 19528, 782, 519, 1271, 2694, 540, 519, 4901, 1510, 12607, 3151, 1932, 1082, 3877, 269, 1403, 596, 723, 8373, 8380, 621, 883, 1913, 267, 596, 666, 8360, 621, 899, 513, 2243, 543, 1287, 2626, 621, 563, 10817, 728, 1677, 14288, 5675, 454, 1432, 1677, 6733, 585, 1879, 18786, 14288, 5675, 454, 1692, 19577, 15105, 3718, 454, 29991, 25417, 15845, 454, 1607, 568, 519, 3942, 1141, 1631, 596, 10994, 519, 1483, 1888, 543, 798, 4890, 1382, 269, 1411, 979, 998, 782, 519, 2959, 6394, 4505, 543, 1265, 519, 1808, 1344, 596, 1131, 899, 547, 946, 269, 9484, 26147, 1344, 602, 568, 4143, 547, 707, 1888, 269, 5213, 1406, 22153, 707, 1957, 609, 11991, 2796, 267, 2705, 4277, 621, 949, 581, 269, 3550, 596, 2328, 1524, 519, 2985, 2338, 267, 711, 1152, 585, 707, 2663, 946, 855, 946, 873, 1282, 14327, 269, 31035, 689, 519, 3339, 10223, 1257, 543, 1603, 4967, 267, 596, 666, 946, 15853, 6486, 630, 4322, 616, 2241, 4994, 6486, 609, 5013, 610, 1463, 24185, 593, 835, 2427, 543, 15853, 1344, 593, 519, 824, 1040, 1358, 849, 948, 596, 3251, 6896, 950, 1603, 513, 1957, 7291, 563, 2237, 589, 3194, 7433, 20895, 454, 288, 1382, 1957, 3340, 513, 1505, 673, 543, 11528, 2497, 547, 2327, 782, 2152, 616, 9619, 24152, 1360, 1271, 3268, 267, 7429, 13016, 3594, 269, 898, 568, 9247, 513, 1592, 540, 1883, 3584, 267, 7440, 267, 543, 2963, 596, 1131, 6999, 547, 1331, 799, 616, 5258, 883, 6810, 609, 26333, 547, 948, 596, 917, 10199, 1018, 707, 1957, 786, 1413, 899, 1354, 4358, 547, 2328, 269, 634, 1957, 7291, 2306, 519, 1603, 1184, 811, 3608, 543, 4143, 563, 2237, 634, 3689, 30633, 454, 5475, 4947, 909, 609, 513, 1382, 1957, 7291, 267, 621, 568, 942, 547, 1376, 519, 4890, 1603, 269, 901, 568, 519, 13074, 543, 1034, 3238, 1900, 267, 855, 952, 596, 616, 1134, 5423, 267, 621, 3587, 5347, 269, 18786, 707, 1603, 609, 513, 5098, 3948, 6971, 519, 13557, 3238, 950, 1603, 519, 1560, 269, 9521, 3594, 267, 1382, 4574, 2356, 7941, 519, 1560, 883, 6810, 609, 5094, 2212, 619, 547, 5512, 19855, 543, 17655, 799, 616, 2143, 538, 519, 7291, 269, 3550, 596, 1246, 707, 7291, 543, 979, 5037, 676, 5037, 609, 1447, 4250, 540, 1818, 9073, 2094, 621, 568, 1175, 519, 1101, 8908, 563, 29241, 2659, 17796, 22043, 569, 454, 1432, 2306, 513, 1382, 1957, 1114, 689, 824, 13680, 15923, 899, 2123, 3594, 616, 14327, 269, 595, 1746, 707, 2959, 4570, 919, 707, 1239, 607, 1134, 607, 3095, 707, 1957, 547, 519, 3621, 2146, 269, 4595, 789, 616, 1271, 267, 789, 991, 547, 1246, 5730, 11249, 3652, 799, 616, 811, 269, 14288, 14327, 1246, 2901, 17090, 630, 17457, 5678, 5948, 264, 610, 14905, 630, 13563, 16723, 5948, 1040, 1452, 6402, 948, 2491, 1808, 11249, 4808, 585, 1142, 2511, 269, 11524, 1331, 18328, 5308, 630, 763, 9628, 15015, 540, 13910, 1070, 543, 589, 7246, 630, 13563, 6481, 5948, 1070, 1851, 1866, 563, 31171, 1656, 19577, 1348, 454, 1607, 568, 519, 2063, 3787, 1141, 596, 991, 547, 979, 998, 707, 1382, 1957, 547, 2327, 621, 568, 2953, 676, 6169, 15105, 269, 898, 666, 581, 2944, 7466, 282, 519, 1101, 1900, 568, 585, 7293, 2152, 899, 4946, 270, 1372, 548, 1154, 2694, 610, 22198, 4474, 9433, 543, 519, 2063, 1900, 568, 585, 2262, 3903, 267, 21342, 267, 543, 10259, 9073, 563, 288, 1382, 1957, 568, 513, 4062, 540, 4081, 1603, 602, 3947, 2079, 267, 7664, 267, 543, 7440, 1759, 593, 538, 3829, 4830, 1382, 269, 898, 568, 2147, 547, 606, 1557, 4352, 267, 621, 568, 513, 3476, 543, 811, 2143, 7084, 547, 5512, 2708, 711, 1152, 707, 1603, 1983, 855, 849, 707, 1983, 538, 14046, 1382, 269, 3194, 1603, 568, 606, 1271, 11769, 547, 4497, 538, 2094, 621, 9388, 609, 23610, 7440, 543, 5717, 269, 0, 763, 13560, 6420, 540, 3794, 800, 540, 3127, 689, 4706, 13804, 881, 1304, 12815, 454, 1103, 2413, 2053, 267, 519, 3794, 800, 540, 3127, 689, 922, 32219, 2250, 540, 3504, 2053, 3100, 547, 581, 4503, 2221, 269, 1548, 1223, 581, 519, 2014, 540, 922, 971, 21324, 888, 2005, 568, 711, 1152, 519, 1480, 7919, 945, 616, 18170, 676, 741, 3186, 514, 625, 610, 535, 919, 269, 589, 2486, 543, 513, 4062, 540, 2244, 1932, 723, 741, 1378, 535, 919, 563, 14549, 1686, 568, 2407, 540, 2984, 540, 4473, 543, 2887, 540, 2043, 607, 1134, 607, 7239, 543, 2477, 269, 1284, 917, 540, 1082, 3338, 602, 11478, 2899, 267, 855, 1631, 616, 4503, 1107, 930, 24760, 896, 519, 1390, 12084, 593, 3618, 543, 930, 9411, 519, 27042, 540, 3618, 563, 19328, 267, 610, 32038, 520, 341, 1513, 3873, 607, 621, 729, 1634, 538, 519, 3504, 2053, 267, 1932, 814, 2938, 922, 32219, 2250, 543, 568, 27057, 7487, 922, 15468, 4567, 267, 8197, 621, 568, 519, 13560, 6420, 540, 3794, 800, 540, 3127, 563, 5629, 621, 729, 1634, 607, 968, 20112, 523, 16819, 892, 543, 2221, 621, 568, 1851, 519, 30529, 540, 519, 6082, 269, 898, 729, 849, 1572, 968, 297, 698, 611, 326, 15843, 892, 630, 294, 15843, 540, 519, 1158, 264, 543, 2221, 922, 4567, 568, 585, 3025, 547, 1294, 563, 300, 1695, 1513, 6062, 20855, 611, 281, 634, 11330, 10133, 2986, 26994, 7869, 454, 5715, 2103, 20530, 730, 21469, 13053, 769, 6761, 1635, 476, 7742, 13012, 454, 291, 1144, 6420, 540, 3794, 800, 540, 3127, 454, 2005, 568, 1273, 4854, 3932, 547, 16620, 10067, 629, 9618, 520, 2112, 585, 1524, 2887, 540, 3127, 269, 8061, 770, 908, 621, 1522, 723, 1044, 855, 621, 729, 711, 3743, 585, 1818, 3127, 606, 791, 1478, 1639, 1793, 636, 563, 763, 5491, 585, 602, 1058, 979, 547, 796, 28717, 1243, 1085, 4548, 945, 6591, 5580, 1688, 998, 22406, 844, 25184, 540, 12556, 269, 28687, 1926, 609, 1100, 2123, 26069, 610, 8699, 267, 2943, 8375, 547, 581, 18544, 547, 3313, 519, 12556, 540, 513, 3810, 4359, 10340, 267, 789, 538, 5279, 791, 1478, 1639, 3127, 1247, 789, 2933, 18202, 538, 561, 2393, 539, 17195, 563, 10521, 8320, 949, 581, 7074, 1547, 1656, 1312, 540, 873, 941, 1100, 17756, 855, 4341, 538, 1142, 2013, 269, 4634, 8338, 1919, 941, 2944, 547, 1004, 543, 2197, 540, 3127, 676, 835, 610, 824, 1045, 14575, 4171, 13137, 729, 7357, 1114, 689, 10067, 629, 9618, 520, 563, 300, 1695, 629, 9618, 520, 2112, 729, 10692, 593, 513, 24441, 3135, 910, 298, 584, 4157, 26387, 2867, 571, 269, 22307, 4536, 540, 1312, 5011, 1705, 711, 1654, 518, 689, 6370, 2361, 547, 561, 2393, 267, 3775, 2073, 31081, 528, 21127, 4586, 1103, 4334, 972, 616, 1256, 1631, 17633, 2073, 11454, 4609, 538, 3127, 1018, 941, 8297, 1441, 267, 561, 2393, 539, 676, 835, 29001, 610, 1776, 610, 676, 835, 28753, 531, 610, 1776, 269, 2480, 1513, 1869, 1459, 593, 938, 17633, 4805, 2995, 721, 938, 1686, 1454, 1732, 2073, 3976, 4767, 4210, 9564, 966, 633, 16988, 7701, 563, 288, 26380, 5734, 30899, 520, 1282, 519, 12081, 540, 20961, 8614, 554, 534, 2073, 688, 6150, 607, 1390, 1148, 24158, 269, 10060, 14010, 543, 900, 659, 2747, 941, 519, 12556, 540, 1004, 540, 30899, 520, 2073, 27734, 269, 634, 17169, 568, 26916, 538, 1686, 1433, 585, 6679, 513, 1863, 10051, 547, 3049, 269, 5457, 7366, 540, 5215, 941, 9601, 540, 26380, 267, 713, 1148, 24158, 12236, 21239, 585, 1175, 835, 10051, 269, 8616, 693, 519, 1482, 942, 2073, 646, 6170, 7366, 540, 5215, 540, 11344, 7188, 1513, 585, 1010, 688, 8145, 563, 297, 12317, 836, 597, 1010, 19033, 267, 10150, 513, 7328, 267, 646, 1031, 547, 6494, 1010, 7980, 547, 14477, 5697, 14252, 540, 27734, 267, 5180, 873, 909, 543, 6133, 873, 607, 10437, 610, 593, 513, 2407, 7599, 1554, 979, 909, 1010, 6830, 543, 1185, 7980, 16173, 513, 10935, 8876, 27734, 538, 2282, 676, 5757, 269, 1879, 789, 941, 10010, 585, 519, 2729, 2073, 646, 1336, 621, 993, 6748, 563, 1692, 666, 971, 1004, 16271, 547, 971, 10792, 2126, 666, 3565, 547, 4346, 610, 13884, 563, 4517, 971, 12081, 338, 896, 1585, 31914, 787, 804, 753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 277, 267, 543, 2340, 503, 510, 276, 264, 543, 596, 723, 519, 2340, 503, 510, 288, 543, 2340, 503, 510, 298, 267, 607, 596, 1294, 538, 7612, 476, 273, 268, 476, 273, 780, 10303, 519, 2340, 503, 510, 288, 543, 519, 2340, 503, 510, 298, 616, 519, 1079, 5207, 838, 3547, 538, 519, 9290, 267, 596, 666, 1293, 1079, 2386, 838, 1228, 15361, 269, 630, 2252, 596, 610, 519, 546, 16244, 849, 4371, 519, 2340, 503, 510, 304, 267, 596, 1223, 1293, 1614, 2386, 838, 1228, 15361, 24355, 2691, 596, 723, 2386, 15361, 538, 513, 9290, 267, 596, 1810, 1406, 723, 547, 1404, 873, 1318, 2476, 269, 1411, 666, 1491, 2386, 15361, 693, 1022, 1448, 1282, 519, 1404, 540, 519, 1688, 780, 15575, 532, 909, 8449, 5258, 12271, 692, 8201, 476, 273, 268, 274, 2982, 519, 12271, 602, 596, 3180, 538, 713, 1688, 269, 18564, 602, 596, 543, 519, 546, 16244, 723, 519, 3670, 5207, 12271, 538, 519, 16064, 281, 519, 2340, 503, 354, 288, 298, 304, 297, 11820, 630, 1492, 5207, 2947, 540, 891, 616, 1634, 607, 8956, 6486, 6393, 7312, 8748, 5044, 540, 12271, 568, 4502, 1152, 1614, 2386, 15361, 1317, 1312, 3946, 723, 519, 1482, 1297, 540, 6486, 269, 1879, 596, 1404, 513, 2295, 689, 835, 1688, 267, 596, 1590, 1404, 513, 2295, 689, 519, 824, 1688, 269, 1306, 513, 1267, 267, 1310, 596, 1404, 519, 2340, 503, 354, 288, 298, 304, 267, 519, 546, 16244, 4465, 1406, 723, 1022, 811, 12271, 2451, 543, 9444, 786, 596, 269, 1411, 2842, 909, 609, 1152, 1614, 2295, 15361, 1317, 519, 9290, 568, 8449, 5258, 630, 9767, 723, 519, 1482, 1297, 540, 6486, 538, 1312, 3946, 6393, 2691, 596, 723, 606, 3160, 1297, 540, 6486, 538, 513, 9290, 593, 1142, 2427, 267, 596, 666, 2760, 1491, 811, 15361, 982, 519, 1297, 540, 6486, 538, 1142, 1688, 269, 1280, 1383, 267, 952, 596, 1312, 3180, 2185, 12271, 267, 621, 3085, 1406, 2339, 875, 1082, 1164, 12271, 596, 723, 1063, 707, 1688, 543, 519, 546, 16244, 282, 596, 666, 2760, 1491, 811, 982, 2185, 2295, 15361, 269, 6875, 513, 1413, 693, 7612, 476, 273, 268, 275, 547, 1294, 875, 519, 13249, 1650, 540, 606, 8449, 5258, 9290, 4652, 9529, 780, 1103, 7612, 476, 273, 268, 275, 267, 596, 723, 1152, 835, 2295, 538, 1142, 1688, 281, 519, 2340, 503, 354, 288, 543, 519, 2340, 503, 354, 298, 269, 2353, 596, 666, 1491, 568, 835, 561, 748, 344, 2295, 8945, 269, 1403, 596, 1291, 519, 2340, 503, 354, 288, 267, 596, 723, 547, 1404, 519, 2340, 503, 354, 298, 689, 519, 546, 16244, 269, 1403, 519, 546, 16244, 5012, 519, 2340, 503, 354, 298, 1101, 267, 596, 723, 547, 968, 1478, 339, 820, 892, 621, 609, 707, 2340, 503, 354, 288, 269, 901, 568, 519, 1152, 942, 596, 666, 723, 519, 513, 576, 543, 4622, 540, 519, 1482, 9290, 1063, 707, 1688, 543, 546, 16244, 543, 1491, 1152, 835, 8945, 269, 898, 779, 1932, 8909, 585, 1913, 780, 16920, 22326, 796, 3225, 958, 5258, 19987, 692, 1103, 7612, 476, 273, 268, 276, 267, 596, 666, 1294, 602, 3162, 6585, 2185, 19987, 630, 27501, 355, 298, 267, 2340, 503, 355, 304, 267, 2340, 503, 355, 297, 267, 543, 2340, 503, 355, 276, 1070, 1247, 3345, 6585, 1152, 1079, 630, 27501, 355, 288, 543, 2340, 503, 355, 273, 1040, 1879, 835, 7649, 6585, 811, 6486, 538, 513, 9290, 267, 519, 9290, 568, 796, 3225, 958, 5258, 780, 1805, 3994, 796, 3225, 958, 5258, 17015, 2709, 522, 617, 956, 540, 15361, 267, 3177, 602, 596, 1404, 519, 9290, 7157, 269, 1280, 1383, 267, 1491, 513, 1413, 693, 875, 1919, 1404, 856, 609, 519, 6486, 538, 7612, 476, 273, 268, 276, 269, 14597, 596, 2253, 676, 3056, 519, 2340, 503, 355, 276, 689, 707, 1688, 543, 1404, 519, 2340, 503, 355, 288, 689, 519, 546, 16244, 267, 799, 568, 835, 8945, 269, 3767, 519, 1291, 568, 538, 519, 546, 16244, 1317, 519, 546, 16244, 814, 3144, 519, 8945, 269, 15566, 676, 4730, 2340, 503, 355, 273, 543, 1287, 1404, 519, 2340, 503, 355, 298, 689, 707, 1688, 269, 3767, 602, 519, 1291, 568, 1394, 538, 707, 1688, 267, 1404, 519, 2340, 503, 355, 304, 543, 1287, 519, 2340, 503, 355, 297, 269, 5213, 1406, 1413, 1631, 267, 855, 596, 4076, 1175, 4465, 15361, 609, 1142, 540, 707, 8956, 6486, 2443, 2185, 538, 782, 269, 18564, 952, 596, 1185, 5129, 519, 4622, 1101, 543, 1287, 519, 2340, 503, 355, 276, 936, 547, 546, 16244, 779, 513, 576, 267, 546, 16244, 1131, 723, 1100, 811, 19987, 543, 972, 596, 8910, 581, 609, 519, 1434, 15596, 543, 13544, 540, 19987, 538, 707, 1688, 267, 5310, 2261, 3019, 539, 11014, 2439, 299, 6756, 513, 2370, 6251, 547, 5873, 513, 2947, 3613, 541, 9133, 281, 1403, 596, 1616, 547, 2661, 513, 1279, 543, 6126, 1272, 609, 796, 3225, 958, 5258, 17015, 602, 2270, 513, 1297, 540, 3160, 26549, 630, 10193, 1572, 15700, 26549, 267, 971, 607, 513, 4622, 543, 15596, 610, 15596, 543, 13544, 1070, 1404, 519, 1164, 8956, 6486, 689, 519, 2110, 2427, 1101, 269, 1548, 1281, 2110, 2427, 1611, 286, 769, 606, 796, 3225, 958, 5258, 9290, 267, 519, 1688, 609, 7864, 6486, 568, 1572, 519, 2110, 2427, 269, 769, 7612, 476, 273, 268, 276, 267, 519, 546, 16244, 814, 1079, 19987, 547, 707, 2185, 19987, 267, 1818, 519, 546, 16244, 1688, 519, 2110, 2427, 269, 1879, 596, 1404, 519, 1164, 8956, 689, 519, 2110, 2427, 1101, 267, 596, 1439, 909, 676, 4730, 519, 1164, 26549, 689, 519, 1279, 2427, 267, 519, 1688, 602, 6238, 609, 811, 6486, 538, 519, 9290, 267, 2063, 269, 630, 1103, 713, 1383, 267, 3162, 814, 519, 3476, 19987, 4700, 901, 4480, 2636, 596, 547, 1491, 519, 5021, 1297, 540, 15361, 2009, 269, 1656, 1631, 596, 917, 1946, 596, 3323, 676, 3056, 519, 2340, 503, 355, 276, 936, 547, 519, 2340, 503, 355, 288, 269, 1411, 4941, 547, 1404, 519, 1164, 8956, 689, 519, 2110, 2427, 1101, 269, 1411, 616, 3478, 547, 581, 513, 6345, 2439, 23804, 1100, 2386, 15361, 538, 513, 9290, 609, 1100, 513, 806, 281, 634, 15731, 692, 2691, 519, 546, 16244, 2501, 1524, 267, 596, 949, 1294, 602, 9444, 596, 6862, 519, 546, 16244, 814, 519, 513, 576, 538, 513, 1880, 9290, 267, 971, 607, 519, 8630, 9290, 538, 7612, 476, 273, 268, 277, 269, 1411, 723, 2340, 503, 352, 275, 267, 2340, 503, 352, 274, 267, 543, 2340, 503, 352, 273, 282, 519, 546, 16244, 814, 2340, 503, 352, 297, 267, 2340, 503, 352, 1015, 267, 2340, 503, 352, 280, 267, 2340, 503, 352, 277, 267, 543, 2340, 503, 352, 276, 780, 8253, 782, 602, 7168, 267, 568, 621, 286, 634, 17837, 723, 519, 2340, 503, 352, 288, 267, 2340, 503, 352, 298, 267, 543, 2340, 503, 352, 304, 269, 1411, 723, 1100, 2386, 15361, 538, 15731, 1317, 596, 1810, 1406, 723, 519, 2340, 503, 352, 288, 269, 1403, 9444, 707, 1688, 6862, 519, 546, 16244, 814, 519, 513, 576, 538, 513, 1880, 9290, 267, 596, 666, 1406, 1293, 1022, 2386, 15361, 538, 602, 9290, 780, 5475, 596, 2708, 875, 1082, 2386, 15361, 596, 723, 538, 1142, 9290, 267, 596, 666, 798, 930, 22672, 11238, 269, 1411, 991, 547, 1039, 909, 782, 707, 2386, 15361, 543, 1294, 952, 596, 723, 2614, 547, 1118, 707, 3803, 4579, 780, 9617, 547, 1205, 930, 2259, 693, 4946, 909, 15361, 267, 979, 6619, 543, 1039, 909, 707, 2386, 15361, 689, 519, 1688, 3254, 538, 7612, 476, 273, 268, 272, 269, 5457, 547, 1413, 693, 1018, 779, 538, 519, 546, 16244, 779, 1688, 607, 1134, 607, 707, 1378, 6486, 269, 634, 2698, 1297, 540, 15361, 568, 1018, 779, 1271, 267, 543, 596, 723, 519, 1739, 1384, 8967, 3547, 281, 5565, 2386, 15361, 281, 2340, 503, 510, 288, 543, 2340, 503, 510, 298, 563, 3891, 11301, 281, 8422, 2386, 15361, 281, 2340, 503, 354, 288, 298, 304, 563, 291, 3554, 4637, 281, 9050, 2386, 15361, 281, 2340, 503, 355, 288, 298, 304, 297, 563, 5141, 889, 338, 281, 3143, 2386, 15361, 1317, 596, 723, 1100, 513, 576, 269, 14068, 2736, 267, 14609, 344, 780, 2791, 2461, 538, 9939, 2443, 596, 723, 519, 8370, 15361, 602, 596, 991, 547, 1118, 707, 3803, 4579, 269, 3767, 782, 596, 723, 547, 798, 568, 1491, 873, 269, 1411, 666, 798, 621, 269, 0, 258, 30323, 527, 1207, 903, 606, 6221, 693, 476, 1839, 260, 10958, 593, 519, 6825, 3902, 780, 9223, 1384, 305, 2129, 527, 1207, 903, 606, 6221, 693, 476, 1839, 260, 10958, 593, 519, 6825, 3902, 269, 1261, 23619, 621, 585, 12652, 476, 32133, 267, 1818, 513, 7443, 540, 476, 1015, 10065, 1548, 568, 519, 6825, 3902, 540, 519, 6221, 2496, 11405, 1384, 11693, 10484, 9915, 540, 519, 6221, 1269, 284, 305, 10608, 476, 32133, 692, 11577, 870, 593, 519, 6221, 1269, 284, 1839, 1422, 260, 6911, 3682, 7257, 593, 519, 6221, 1269, 284, 1015, 1422, 260, 6911, 2171, 917, 10484, 7445, 9507, 346, 6573, 18098, 3847, 7268, 2765, 346, 1911, 1422, 9392, 1422, 9507, 346, 9915, 12453, 1911, 10559, 3667, 2715, 5494, 870, 7684, 1422, 260, 4153, 2431, 22491, 259, 7807, 3847, 7268, 2765, 346, 1911, 1422, 9392, 476, 32133, 2410, 1911, 268, 1839, 4153, 2431, 22491, 259, 284, 259, 12652, 269, 476, 279, 3199, 692, 13295, 267, 519, 6825, 3902, 540, 519, 6221, 568, 12652, 269, 476, 279, 3199, 1547, 0, 258, 2983, 6248, 3892, 609, 513, 1309, 5529, 1297, 540, 8062, 910, 4466, 20772, 543, 1991, 16762, 3892, 692, 3383, 594, 993, 9781, 513, 4351, 4756, 799, 5205, 513, 12166, 3892, 609, 5506, 6695, 9064, 2330, 4849, 602, 519, 2698, 1297, 540, 8062, 568, 1309, 5529, 693, 930, 1871, 3230, 333, 21974, 594, 4318, 1421, 519, 5506, 2527, 1599, 568, 2016, 676, 1384, 2330, 325, 3287, 21174, 8218, 26231, 1162, 348, 630, 272, 10559, 9064, 22722, 343, 268, 272, 4153, 9064, 1299, 476, 272, 1422, 19008, 1535, 2999, 562, 8607, 630, 272, 10559, 9064, 22722, 333, 268, 272, 348, 1299, 1535, 815, 562, 8607, 476, 271, 1299, 1535, 3436, 562, 1422, 754, 26231, 1162, 15732, 1607, 1223, 2099, 606, 4603, 538, 799, 835, 1166, 2354, 513, 11777, 2394, 519, 1101, 9843, 610, 2394, 3230, 333, 2330, 1166, 2354, 627, 31295, 2501, 1101, 780, 20058, 267, 594, 993, 5461, 538, 6616, 519, 20772, 540, 1535, 950, 6695, 9064, 2330, 568, 1634, 281, 6695, 13992, 346, 292, 12917, 343, 1923, 1422, 9064, 264, 9681, 10702, 267, 15475, 6695, 9064, 2330, 568, 7164, 543, 594, 723, 513, 1991, 3892, 281, 6695, 9064, 2330, 9625, 3230, 289, 9508, 5416, 14720, 14638, 780, 296, 1131, 899, 547, 1265, 519, 8589, 20772, 540, 6695, 13992, 346, 292, 12917, 343, 14638, 936, 782, 2418, 540, 6695, 9064, 2330, 799, 568, 2016, 676, 10484, 11377, 13992, 346, 292, 12917, 343, 264, 815, 1422, 842, 318, 271, 317, 272, 1422, 13992, 346, 292, 12917, 343, 1923, 1422, 9064, 264, 533, 7268, 9064, 264, 546, 24592, 9681, 2026, 1134, 607, 519, 1991, 16762, 3892, 585, 3230, 343, 2330, 1384, 2330, 335, 3287, 264, 815, 1422, 842, 318, 271, 317, 272, 533, 3287, 1923, 1422, 9064, 264, 533, 7268, 9064, 264, 546, 24592, 9681, 2005, 4667, 899, 713, 1131, 723, 1044, 6594, 12341, 1354, 267, 855, 19707, 585, 834, 13700, 15635, 730, 12166, 3892, 257, 610, 834, 322, 11474, 12166, 3892, 257, 5749, 1405, 4466, 4376, 780, 1892, 1772, 713, 585, 513, 1362, 286, 898, 4667, 899, 513, 6296, 1837, 2511, 2243, 269, 4119, 476, 1321, 267, 476, 1001, 280, 693, 476, 271, 281, 1240, 454, 1892, 3502, 585, 513, 1362, 910, 594, 1294, 1946, 621, 4667, 602, 1259, 1498, 267, 799, 568, 849, 1946, 594, 729, 647, 1440, 2213, 711, 547, 1265, 1022, 1806, 593, 713, 3226, 1826, 540, 4351, 4756, 2336, 1700, 1109, 299, 334, 17442, 454, 13971, 476, 1724, 267, 476, 1001, 280, 693, 476, 272, 281, 4391, 692, 5575, 267, 519, 20772, 568, 513, 2040, 267, 711, 606, 7533, 269, 1422, 8218, 9387, 15857, 1422, 13992, 346, 292, 12917, 343, 1923, 1422, 9064, 264, 17851, 1422, 8999, 3709, 343, 284, 272, 11892, 333, 1535, 535, 3287, 264, 8607, 17851, 1422, 8999, 3709, 343, 284, 272, 8703, 333, 268, 272, 348, 1535, 630, 272, 10559, 9064, 22722, 343, 268, 272, 4153, 9064, 1341, 562, 263, 272, 10559, 9064, 22722, 333, 268, 272, 348, 8607, 17851, 1422, 2765, 3189, 9064, 1341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 476, 271, 993, 1186, 13576, 538, 1312, 3515, 26042, 28775, 519, 9183, 568, 2953, 8206, 8627, 2336, 6021, 268, 736, 268, 1001, 274, 476, 1556, 281, 6860, 7537, 454, 12749, 1948, 1015, 454, 305, 599, 12107, 269, 634, 1249, 602, 1312, 7475, 540, 519, 28680, 723, 519, 1482, 1761, 1281, 711, 1611, 1100, 1699, 786, 2095, 269, 634, 1699, 602, 786, 2095, 786, 581, 1759, 593, 519, 4452, 519, 8391, 1439, 540, 519, 1668, 609, 6453, 476, 4097, 21993, 309, 269, 4935, 594, 815, 590, 14370, 4135, 476, 274, 265, 476, 4097, 269, 271, 330, 309, 1040, 634, 1761, 3017, 593, 519, 1899, 1175, 7506, 519, 9588, 540, 519, 1699, 602, 786, 2095, 269, 1323, 27952, 1184, 11887, 519, 25739, 8391, 1439, 6453, 543, 519, 22638, 1699, 547, 519, 6537, 676, 519, 4452, 269, 3367, 593, 13053, 681, 7469, 5459, 610, 12821, 1380, 910, 1530, 10537, 6396, 540, 20509, 8928, 563, 6021, 268, 736, 268, 1001, 274, 476, 4905, 281, 2767, 6751, 454, 12749, 1948, 1556, 454, 296, 1589, 661, 330, 578, 1590, 723, 4810, 21376, 13907, 593, 519, 1079, 19670, 10814, 29650, 689, 1114, 2655, 725, 780, 763, 21376, 13907, 1223, 581, 3361, 676, 1114, 6453, 2157, 693, 519, 25318, 2655, 725, 543, 519, 3017, 538, 10814, 25317, 630, 16746, 547, 13080, 610, 7306, 1040, 7756, 6453, 2157, 693, 519, 25318, 2655, 725, 1223, 581, 519, 2101, 3310, 269, 769, 513, 811, 3978, 3510, 267, 835, 10814, 28680, 949, 581, 1104, 532, 1164, 1699, 543, 519, 824, 10814, 28680, 949, 581, 13143, 532, 269, 634, 10814, 28680, 602, 20558, 1164, 1699, 949, 581, 2468, 5529, 676, 936, 9690, 4027, 20794, 780, 13425, 875, 596, 666, 1689, 519, 25318, 2655, 725, 685, 6453, 2157, 865, 602, 789, 666, 581, 607, 2673, 607, 2009, 269, 901, 949, 581, 2352, 607, 930, 26740, 13907, 949, 18711, 519, 28696, 602, 786, 2014, 519, 6453, 3604, 693, 1114, 2053, 780, 763, 4443, 1259, 568, 547, 2057, 5665, 519, 476, 273, 19670, 29650, 538, 6252, 267, 26759, 267, 676, 5665, 606, 1930, 1448, 693, 835, 540, 519, 476, 274, 5547, 2736, 619, 630, 24650, 2275, 537, 16980, 610, 519, 538, 1260, 619, 1916, 6021, 268, 736, 268, 1001, 274, 476, 6860, 281, 866, 6751, 454, 12749, 1948, 1321, 454, 9281, 476, 273, 1114, 29650, 7727, 1379, 547, 513, 2582, 4452, 267, 519, 2698, 25317, 540, 1142, 1899, 786, 581, 519, 3815, 602, 786, 3313, 875, 1454, 1699, 1142, 28680, 786, 2671, 269, 901, 568, 3020, 952, 519, 476, 273, 29650, 2501, 689, 519, 1482, 2707, 610, 1482, 1668, 780, 2252, 519, 476, 273, 29650, 3357, 689, 1114, 2959, 267, 1287, 519, 11488, 1439, 6453, 540, 1142, 2707, 786, 3313, 875, 1454, 1142, 28680, 786, 2671, 267, 6236, 849, 519, 1899, 15641, 1734, 540, 1142, 28680, 7133, 519, 6453, 2530, 2059, 519, 519, 1899, 1524, 547, 519, 8391, 1439, 630, 2903, 264, 0, 258, 21153, 8017, 13658, 5590, 476, 28512, 692, 2162, 7726, 476, 272, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 3852, 508, 1797, 2473, 815, 962, 454, 273, 269, 3980, 358, 1797, 2473, 18016, 962, 454, 274, 269, 2340, 488, 501, 1797, 2473, 9881, 362, 630, 2254, 1447, 982, 264, 962, 454, 275, 269, 9881, 483, 1797, 2473, 2999, 962, 454, 276, 269, 2485, 351, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 700, 3980, 358, 631, 282, 631, 9881, 483, 715, 282, 715, 2485, 351, 744, 16963, 3519, 7501, 1384, 272, 269, 700, 3852, 508, 744, 454, 273, 269, 700, 9881, 483, 715, 454, 288, 692, 18485, 594, 543, 4083, 616, 3020, 780, 289, 692, 21671, 3932, 4083, 568, 3020, 780, 290, 692, 21671, 3932, 594, 568, 3020, 780, 291, 692, 32355, 594, 610, 4083, 666, 581, 3020, 780, 22069, 333, 563, 9172, 281, 536, 692, 763, 6898, 666, 581, 12261, 547, 700, 18016, 631, 2999, 715, 3436, 744, 269, 10390, 594, 18922, 547, 700, 815, 744, 269, 10390, 4083, 18922, 547, 700, 2999, 715, 269, 1924, 649, 666, 1294, 602, 1152, 3932, 4083, 568, 3020, 780, 8923, 3314, 602, 538, 971, 2055, 9881, 363, 630, 2254, 811, 982, 264, 568, 1482, 607, 18016, 267, 543, 9881, 362, 630, 2254, 1447, 982, 264, 568, 1482, 607, 21759, 780, 2162, 7726, 476, 273, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 4939, 1797, 2473, 815, 962, 454, 273, 269, 3980, 495, 1797, 2473, 18016, 962, 454, 274, 269, 3852, 497, 1797, 2473, 21759, 962, 454, 275, 269, 18529, 1797, 2473, 2999, 962, 454, 276, 269, 3980, 493, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 1627, 4939, 681, 282, 681, 3980, 493, 590, 282, 590, 18529, 570, 282, 570, 18529, 772, 16963, 3519, 7501, 1384, 272, 269, 681, 3980, 493, 570, 454, 273, 269, 590, 3980, 493, 1627, 454, 274, 269, 1627, 3980, 493, 772, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 10468, 2416, 540, 519, 1614, 780, 289, 692, 296, 1152, 780, 290, 692, 2862, 1152, 780, 291, 692, 7656, 1152, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 1627, 815, 681, 3436, 590, 2999, 570, 2999, 772, 780, 763, 8753, 14377, 547, 1384, 272, 269, 681, 3436, 570, 263, 16178, 994, 273, 269, 590, 3436, 1627, 263, 16178, 994, 274, 269, 1627, 3436, 772, 263, 16178, 2020, 2162, 7726, 476, 274, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 3980, 495, 1797, 2473, 815, 962, 454, 273, 269, 3852, 371, 1797, 2473, 9881, 363, 630, 2254, 811, 982, 264, 962, 454, 274, 269, 7711, 1797, 2473, 9881, 362, 630, 2254, 1447, 982, 264, 962, 454, 275, 269, 18494, 1797, 2473, 2999, 962, 454, 276, 269, 18529, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 808, 7711, 918, 282, 918, 3980, 495, 700, 282, 700, 7711, 631, 16963, 3519, 7501, 1384, 272, 269, 808, 3980, 495, 700, 454, 273, 269, 808, 18529, 918, 454, 288, 692, 18485, 594, 543, 4083, 616, 3020, 780, 289, 692, 21671, 3932, 4083, 568, 3020, 780, 290, 692, 21671, 3932, 594, 568, 3020, 780, 291, 692, 32355, 594, 610, 4083, 666, 581, 3020, 780, 22069, 333, 563, 9172, 281, 546, 692, 763, 6898, 666, 581, 12261, 547, 808, 21759, 918, 815, 700, 21759, 631, 269, 10390, 594, 18922, 547, 808, 815, 700, 269, 10390, 4083, 18922, 547, 808, 3436, 918, 269, 1924, 649, 666, 1294, 602, 2901, 594, 610, 4083, 666, 581, 3020, 780, 8923, 3314, 602, 538, 971, 2055, 9881, 363, 630, 2254, 811, 982, 264, 568, 1482, 607, 18016, 267, 543, 9881, 362, 630, 2254, 1447, 982, 264, 568, 1482, 607, 21759, 780, 2162, 7726, 476, 275, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 9736, 1797, 2473, 815, 962, 454, 273, 269, 3980, 495, 1797, 2473, 18016, 962, 454, 274, 269, 2340, 488, 499, 1797, 2473, 21759, 962, 454, 275, 269, 2340, 488, 501, 1797, 2473, 2999, 962, 454, 276, 269, 31961, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 631, 31961, 715, 282, 715, 9736, 744, 282, 744, 9736, 623, 282, 623, 31961, 1627, 16963, 3519, 7501, 1384, 272, 269, 715, 31961, 1627, 454, 273, 269, 631, 31961, 1627, 454, 274, 269, 631, 31961, 623, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 5472, 780, 289, 692, 18485, 594, 543, 4083, 780, 290, 692, 2862, 1152, 780, 291, 692, 18485, 4083, 543, 8633, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 631, 3436, 715, 815, 744, 815, 623, 3436, 1627, 780, 763, 8753, 14377, 547, 1384, 272, 269, 715, 3436, 1627, 263, 12148, 994, 273, 269, 631, 3436, 1627, 263, 12148, 994, 274, 269, 631, 3436, 623, 263, 12148, 2020, 2162, 7726, 476, 276, 692, 1103, 513, 1978, 1893, 1114, 6698, 2099, 1114, 12427, 607, 5205, 780, 272, 269, 11278, 1797, 2473, 815, 962, 454, 273, 269, 4939, 1797, 2473, 18016, 962, 454, 274, 269, 2485, 362, 1797, 2473, 21759, 962, 454, 275, 269, 3980, 483, 1797, 2473, 2999, 962, 454, 276, 269, 18725, 1797, 2473, 3436, 962, 692, 13750, 906, 281, 717, 11278, 670, 282, 670, 11278, 594, 282, 594, 3980, 483, 808, 282, 808, 11278, 918, 16963, 3519, 7501, 1384, 272, 269, 808, 18725, 717, 454, 273, 269, 717, 11278, 594, 454, 274, 269, 594, 11278, 918, 692, 7617, 540, 519, 1657, 8753, 568, 270, 732, 3020, 2496, 288, 692, 18485, 594, 543, 4083, 780, 289, 692, 296, 1152, 780, 290, 692, 2862, 1152, 780, 291, 692, 7656, 1152, 780, 22069, 333, 563, 9172, 281, 513, 692, 763, 6898, 666, 581, 12261, 547, 717, 815, 670, 815, 594, 2999, 808, 815, 918, 780, 763, 8753, 14377, 547, 1384, 272, 269, 808, 3436, 717, 263, 12148, 994, 273, 269, 717, 815, 594, 263, 12148, 994, 274, 269, 594, 815, 918, 263, 16178, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19893, 786, 946, 741, 9241, 9715, 1702, 547, 1711, 2238, 789, 666, 5612, 2936, 538, 741, 13460, 563, 5591, 13465, 610, 15472, 6791, 568, 2556, 269, 22067, 609, 606, 1930, 2247, 267, 606, 1930, 2295, 543, 513, 7287, 547, 723, 1187, 2336, 299, 4875, 786, 581, 3177, 1282, 1312, 7886, 269, 19893, 786, 4309, 2835, 547, 1491, 1394, 547, 741, 13460, 563, 1607, 568, 513, 1079, 12268, 3126, 269, 25547, 633, 2185, 3318, 1565, 4559, 585, 11504, 1312, 2694, 835, 543, 1079, 269, 0, 13420, 2526, 775, 630, 845, 531, 4654, 994, 1103, 6101, 1893, 3069, 267, 4617, 30424, 540, 1079, 6121, 332, 1513, 1797, 789, 5352, 519, 1482, 1305, 540, 12673, 267, 1775, 4318, 269, 602, 519, 6101, 1893, 789, 5352, 568, 519, 1482, 269, 769, 29085, 3069, 519, 10206, 568, 13747, 689, 2178, 630, 528, 7293, 264, 30424, 267, 799, 10123, 1797, 602, 519, 1079, 1612, 572, 4054, 314, 743, 541, 2305, 2877, 316, 616, 21230, 2147, 538, 602, 519, 1482, 23066, 7664, 666, 581, 8655, 547, 1312, 563, 309, 6359, 599, 27691, 1678, 518, 543, 1284, 597, 630, 1960, 275, 264, 9727, 602, 12430, 12039, 539, 12896, 332, 1513, 267, 10395, 22922, 595, 1538, 3645, 12896, 332, 1513, 267, 10326, 14194, 14765, 1456, 12896, 332, 1513, 267, 543, 10361, 12896, 332, 1513, 616, 4617, 569, 6697, 6101, 3359, 267, 314, 743, 541, 2305, 2877, 316, 538, 602, 789, 782, 5581, 519, 1482, 5569, 4654, 563, 4002, 519, 824, 1688, 267, 952, 519, 1079, 6121, 332, 1513, 5352, 519, 1482, 1305, 540, 8174, 566, 4054, 630, 528, 811, 3622, 267, 519, 1482, 1305, 540, 7493, 4852, 12519, 3615, 1070, 1287, 519, 1079, 4654, 616, 9244, 6697, 269, 932, 1682, 5652, 630, 3422, 274, 264, 12857, 519, 10206, 540, 2178, 30424, 267, 543, 13187, 602, 1152, 2178, 30424, 568, 4143, 950, 9236, 8239, 6101, 3359, 269, 918, 1941, 2967, 543, 29553, 636, 630, 1960, 271, 264, 543, 16019, 630, 1960, 275, 264, 2709, 513, 15568, 10206, 540, 2178, 30424, 602, 2636, 585, 568, 25806, 3347, 1063, 519, 4852, 12519, 9382, 2016, 676, 1114, 6101, 3359, 269, 962, 9655, 514, 15676, 267, 21007, 5984, 334, 267, 543, 17578, 340, 329, 4512, 630, 1220, 273, 264, 3091, 513, 6169, 540, 519, 2178, 5973, 1890, 540, 519, 700, 307, 8980, 543, 670, 4916, 294, 6101, 3359, 563, 3519, 3667, 6954, 8239, 1383, 454, 283, 10339, 1833, 285, 26012, 284, 2999, 10339, 1833, 285, 834, 266, 257, 2999, 10339, 1833, 285, 1923, 2999, 10339, 1833, 285, 29038, 257, 2999, 10339, 1833, 285, 1923, 2999, 10339, 1833, 285, 834, 265, 257, 2999, 10339, 1833, 285, 1923, 2999, 10339, 1833, 285, 834, 270, 257, 2999, 10339, 1833, 285, 1923, 834, 343, 257, 1923, 834, 344, 257, 1923, 834, 345, 257, 1923, 834, 272, 257, 1923, 834, 273, 257, 1923, 834, 274, 257, 1923, 834, 2891, 2999, 10339, 1833, 285, 834, 264, 4840, 283, 10339, 1833, 285, 26012, 284, 2999, 3410, 285, 1923, 2999, 10339, 1833, 285, 834, 266, 257, 2999, 3410, 285, 1923, 2999, 10339, 1833, 285, 29038, 257, 2999, 3410, 285, 2999, 3410, 285, 26012, 284, 2999, 26476, 285, 1923, 2999, 3410, 285, 834, 265, 257, 2999, 26476, 285, 1923, 2999, 3410, 285, 834, 270, 257, 2999, 26476, 285, 2999, 26476, 285, 26012, 284, 834, 343, 257, 1923, 834, 344, 257, 1923, 834, 345, 257, 1923, 834, 272, 257, 1923, 834, 273, 257, 1923, 834, 274, 257, 1923, 834, 2891, 2999, 10339, 1833, 285, 834, 264, 4840, 13828, 6121, 332, 1513, 5352, 519, 1482, 1305, 540, 12673, 267, 642, 714, 269, 519, 1305, 540, 782, 818, 603, 5471, 673, 7215, 602, 666, 581, 3710, 689, 519, 4632, 834, 343, 2580, 834, 344, 2580, 834, 345, 2580, 519, 21635, 834, 272, 2580, 834, 273, 2580, 834, 274, 2580, 519, 12427, 834, 266, 2580, 29038, 2580, 834, 265, 2580, 834, 270, 2580, 543, 1612, 656, 12330, 834, 2891, 543, 834, 29215, 1717, 267, 513, 6405, 16105, 3529, 540, 519, 2034, 8239, 2141, 9356, 519, 8912, 1931, 540, 4238, 267, 1247, 513, 3529, 689, 519, 1101, 8239, 991, 711, 563, 2690, 519, 1383, 5569, 834, 272, 266, 273, 265, 274, 2580, 519, 1318, 851, 540, 519, 4605, 2982, 922, 2189, 1612, 572, 3529, 609, 519, 2034, 8239, 282, 314, 16694, 476, 273, 316, 10442, 713, 3529, 538, 2022, 25785, 1931, 786, 6556, 519, 1697, 1871, 267, 476, 278, 269, 769, 4334, 267, 519, 2451, 4605, 851, 2982, 835, 540, 519, 1612, 572, 4054, 585, 602, 5569, 609, 519, 1101, 8239, 282, 10442, 621, 538, 2022, 25785, 1931, 786, 6556, 476, 280, 563, 7712, 519, 2034, 8239, 3112, 5352, 513, 3529, 7222, 547, 519, 2451, 4605, 851, 267, 1247, 519, 1101, 8239, 666, 267, 1312, 6121, 332, 1513, 616, 711, 9244, 6697, 563, 1103, 23316, 267, 519, 4617, 30462, 4390, 540, 513, 8239, 568, 3989, 607, 519, 1305, 540, 782, 12673, 6383, 676, 621, 267, 314, 16694, 476, 274, 316, 1247, 513, 8239, 781, 2178, 30462, 4390, 4016, 547, 519, 1305, 540, 834, 560, 24780, 11673, 257, 314, 16694, 476, 275, 316, 6383, 676, 621, 269, 1306, 513, 12343, 267, 1079, 6121, 332, 1513, 616, 2808, 4617, 569, 6697, 952, 741, 4617, 30462, 19206, 14626, 728, 282, 2147, 585, 2178, 30424, 269, 634, 10206, 540, 30462, 4390, 729, 5189, 676, 3143, 600, 932, 1682, 5652, 538, 476, 3422, 274, 563, 268, 853, 1030, 8457, 595, 4046, 328, 1234, 724, 11170, 328, 630, 1220, 280, 1040, 31131, 19932, 543, 3281, 7976, 269, 22219, 269, 533, 269, 476, 6872, 269, 9768, 476, 7818, 268, 272, 268, 279, 4366, 11025, 268, 271, 5392, 268, 275, 563, 268, 966, 6359, 599, 27691, 1678, 518, 267, 918, 269, 543, 1284, 597, 267, 6424, 808, 269, 476, 1960, 275, 269, 634, 4982, 2526, 775, 540, 9050, 6987, 5014, 540, 12745, 6363, 872, 12896, 332, 1513, 269, 19556, 7010, 7869, 476, 2767, 263, 277, 2567, 476, 276, 1556, 268, 276, 5379, 563, 268, 3143, 600, 932, 1682, 5652, 630, 3422, 274, 1040, 834, 293, 5436, 3601, 540, 8239, 2668, 769, 681, 6185, 269, 13198, 576, 282, 681, 10611, 269, 17312, 282, 661, 269, 8895, 534, 614, 630, 2644, 12175, 18361, 540, 19556, 10017, 269, 4083, 269, 1715, 3840, 281, 25067, 269, 6032, 269, 476, 26825, 1700, 275, 1240, 563, 268, 918, 1941, 2967, 267, 589, 269, 543, 29553, 636, 267, 717, 269, 918, 269, 476, 1960, 271, 269, 634, 2473, 1532, 541, 7869, 540, 1912, 19189, 12856, 269, 5678, 267, 476, 5780, 281, 2190, 268, 2004, 563, 268, 16019, 267, 17722, 670, 269, 476, 1960, 280, 269, 16200, 9198, 894, 27519, 269, 11483, 299, 296, 12326, 563, 268, 962, 9655, 514, 15676, 267, 715, 1421, 21007, 5984, 334, 962, 1421, 543, 17578, 340, 329, 4512, 267, 808, 269, 476, 1220, 273, 269, 589, 6101, 6169, 540, 2178, 30424, 585, 513, 8239, 7503, 689, 700, 307, 8980, 547, 670, 4916, 294, 16654, 269, 769, 519, 18619, 540, 519, 570, 8980, 266, 277, 22544, 281, 6942, 268, 4572, 269, 24131, 267, 7977, 563, 268, 2506, 3000, 29732, 282, 17722, 16019, 630, 1220, 274, 1040, 834, 17653, 894, 27519, 257, 630, 14457, 1040, 769, 5261, 808, 269, 674, 3863, 2917, 630, 539, 12175, 4139, 15610, 540, 23008, 2524, 630, 273, 526, 1196, 12175, 10228, 2160, 4964, 269, 8222, 281, 1015, 269, 11820, 274, 270, 659, 10915, 270, 7818, 25171, 276, 1724, 280, 6507, 279, 269, 9826, 269, 1822, 272, 269, 9768, 476, 7818, 25171, 276, 1724, 280, 6507, 279, 269, 0, 1432, 568, 588, 32211, 888, 1805, 32211, 568, 513, 4633, 4524, 538, 799, 4992, 267, 24424, 267, 610, 1913, 616, 7368, 610, 12675, 267, 27200, 519, 3339, 2095, 540, 4633, 269, 1452, 4633, 21463, 949, 581, 10483, 676, 10010, 5615, 267, 971, 607, 4028, 3750, 1025, 3855, 610, 12152, 832, 540, 519, 17534, 269, 853, 32211, 666, 1118, 621, 2352, 547, 5968, 609, 824, 1004, 267, 799, 1419, 5540, 513, 1268, 779, 2298, 540, 1272, 269, 4658, 945, 7985, 588, 13616, 917, 1018, 789, 1616, 547, 2161, 267, 855, 621, 568, 2352, 547, 2769, 621, 676, 2262, 269, 1280, 1383, 267, 789, 949, 10956, 610, 10804, 513, 2262, 267, 27612, 610, 8360, 267, 610, 3247, 1282, 4633, 543, 1118, 1100, 3280, 585, 1978, 24424, 563, 1805, 32211, 568, 1455, 1851, 1762, 1453, 607, 513, 3339, 851, 540, 1565, 547, 3717, 269, 8479, 1453, 949, 588, 13616, 950, 741, 4633, 543, 1893, 5759, 5749, 1406, 2919, 2614, 547, 1832, 909, 609, 1018, 789, 1616, 547, 2161, 269, 4107, 1453, 856, 326, 992, 713, 11095, 588, 32211, 269, 1717, 267, 588, 32211, 568, 3006, 513, 5312, 2783, 602, 26251, 883, 15296, 269, 901, 1826, 540, 588, 32211, 666, 723, 606, 1764, 593, 1582, 12635, 543, 4205, 609, 824, 1004, 563, 1692, 1455, 568, 588, 32211, 888, 1805, 32211, 1860, 2550, 693, 1022, 2085, 269, 898, 666, 581, 7307, 676, 4227, 707, 1981, 2188, 269, 7490, 1865, 609, 707, 4387, 585, 2417, 1344, 563, 1432, 616, 519, 2589, 540, 853, 32211, 888, 763, 1455, 2589, 540, 853, 32211, 616, 912, 268, 30975, 4358, 513, 2262, 267, 4845, 610, 8360, 3248, 268, 1160, 14075, 532, 513, 2262, 610, 4992, 1369, 513, 2262, 3248, 268, 3115, 564, 819, 540, 513, 3280, 267, 27612, 610, 2262, 3248, 268, 16684, 16563, 585, 1978, 24424, 610, 533, 13415, 1369, 513, 2262, 630, 15842, 5287, 2262, 11850, 268, 18827, 540, 3063, 1913, 971, 607, 968, 636, 892, 952, 7411, 3001, 547, 519, 1985, 2262, 568, 17191, 3248, 268, 21418, 8082, 267, 9395, 1145, 610, 3350, 540, 519, 3068, 610, 5580, 1560, 547, 3132, 513, 2262, 3248, 268, 17520, 827, 6158, 3248, 268, 17290, 2702, 547, 3927, 5968, 563, 763, 4633, 7965, 540, 588, 32211, 949, 581, 10483, 676, 912, 268, 21826, 3750, 1025, 3855, 3248, 268, 7066, 332, 832, 540, 519, 17534, 610, 10265, 3248, 268, 11120, 658, 512, 923, 3248, 268, 10361, 28478, 802, 3248, 268, 1849, 523, 4221, 535, 1235, 563, 1805, 32211, 949, 581, 8338, 950, 596, 2461, 9599, 267, 13110, 610, 896, 2566, 267, 610, 950, 596, 1745, 1582, 23655, 267, 9292, 3072, 610, 2604, 323, 269, 32163, 725, 971, 607, 6340, 538, 4395, 540, 513, 1895, 610, 6158, 593, 519, 6049, 666, 581, 3226, 2352, 585, 1004, 945, 588, 13616, 563, 2467, 949, 581, 930, 2589, 711, 7396, 1657, 269, 1403, 596, 723, 1022, 4145, 827, 513, 10835, 267, 5225, 5077, 707, 4387, 563, 2691, 1058, 594, 1294, 1250, 4387, 888, 2791, 1058, 3346, 707, 4387, 952, 596, 723, 1022, 540, 519, 1739, 912, 268, 700, 6814, 811, 982, 3670, 3275, 3248, 268, 12769, 2720, 609, 824, 4633, 610, 1893, 2042, 3248, 268, 2142, 3699, 811, 7928, 610, 5170, 607, 519, 1126, 9428, 4587, 3248, 268, 12769, 2720, 609, 4887, 9395, 2287, 610, 7298, 10010, 547, 3717, 3248, 268, 18748, 338, 519, 2702, 547, 3927, 5968, 693, 1153, 267, 960, 610, 538, 1514, 4205, 3248, 268, 15486, 4160, 610, 3929, 2042, 267, 971, 607, 4250, 610, 21084, 540, 3871, 1141, 6340, 568, 2838, 3248, 268, 23548, 1231, 607, 606, 2937, 563, 1432, 3123, 588, 32211, 888, 12867, 616, 1869, 4974, 519, 5817, 3123, 540, 10770, 588, 32211, 269, 589, 4999, 540, 2188, 949, 581, 3238, 269, 25792, 3123, 540, 10770, 588, 32211, 1331, 912, 268, 2806, 7538, 885, 538, 4633, 5179, 1852, 281, 2368, 2963, 6920, 602, 17244, 538, 4633, 5179, 1852, 267, 971, 607, 12557, 267, 10444, 543, 5179, 11558, 267, 616, 26582, 563, 268, 21834, 281, 853, 32211, 11148, 547, 2196, 538, 3885, 269, 898, 5526, 602, 588, 32211, 666, 1267, 689, 15110, 630, 2102, 2045, 264, 17244, 538, 519, 1893, 7740, 540, 519, 2634, 563, 268, 6481, 2175, 281, 853, 32211, 666, 3006, 1267, 689, 513, 8482, 267, 8194, 610, 824, 2634, 5945, 563, 268, 10076, 1072, 2042, 281, 769, 4686, 267, 9678, 2665, 267, 3929, 8194, 666, 1291, 547, 588, 32211, 563, 1432, 4679, 1250, 1981, 585, 588, 32211, 888, 2467, 616, 1082, 1981, 2188, 585, 853, 32211, 267, 971, 607, 912, 268, 11109, 14077, 945, 588, 13616, 281, 853, 32211, 11148, 547, 2196, 538, 3885, 563, 268, 5548, 26359, 6689, 1646, 281, 5753, 945, 723, 11095, 17799, 610, 824, 4633, 2042, 949, 581, 811, 2693, 547, 588, 13616, 563, 268, 9861, 5256, 281, 631, 2297, 616, 1454, 811, 2693, 547, 588, 13616, 982, 8951, 616, 563, 268, 13262, 281, 13262, 538, 519, 1920, 267, 1164, 15366, 6788, 610, 824, 2010, 540, 2604, 666, 22009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11325, 518, 902, 269, 1703, 568, 6719, 1934, 519, 4102, 1106, 540, 4259, 8521, 2441, 6035, 547, 2696, 538, 519, 13032, 1442, 267, 609, 519, 2856, 540, 1648, 540, 13991, 1145, 547, 2696, 267, 543, 713, 1932, 538, 602, 6631, 2329, 540, 21981, 799, 968, 18314, 892, 4564, 269, 634, 13265, 610, 519, 2539, 3029, 5815, 267, 594, 15475, 267, 2441, 15874, 1310, 513, 1447, 2268, 269, 634, 13032, 1442, 568, 519, 2407, 652, 7071, 540, 2441, 269, 8409, 602, 1185, 865, 1279, 16339, 2213, 13924, 786, 1631, 11760, 13924, 609, 865, 1454, 519, 3152, 535, 969, 712, 1317, 540, 741, 5449, 13581, 269, 634, 7083, 1178, 19290, 3217, 5469, 540, 713, 269, 634, 15155, 568, 513, 1826, 540, 2441, 607, 606, 5356, 540, 13394, 1674, 547, 2696, 282, 1934, 621, 568, 855, 513, 13927, 1076, 21981, 2443, 968, 821, 15155, 1848, 634, 968, 572, 1597, 22917, 2125, 892, 1611, 519, 1264, 28467, 540, 2441, 779, 6653, 5260, 712, 1354, 2696, 269, 1703, 568, 849, 267, 607, 649, 917, 267, 519, 2556, 5609, 11325, 1359, 563, 3719, 1631, 649, 2097, 547, 519, 905, 6814, 269, 2201, 519, 2185, 18818, 1554, 540, 519, 1101, 3923, 519, 32488, 20108, 568, 8068, 267, 1141, 649, 723, 267, 607, 621, 568, 1767, 267, 1079, 1762, 13032, 4169, 267, 1175, 519, 1482, 11865, 607, 729, 9788, 1524, 585, 519, 4098, 540, 3275, 267, 519, 1007, 24262, 269, 4329, 267, 538, 519, 2013, 540, 519, 21649, 540, 4374, 267, 968, 514, 519, 1554, 540, 519, 1101, 1922, 21209, 267, 950, 9493, 3142, 513, 1007, 5779, 11325, 1359, 21349, 8614, 327, 990, 1695, 892, 630, 1492, 19999, 1815, 739, 531, 5356, 1070, 972, 568, 513, 2147, 1826, 269, 968, 5475, 707, 4374, 581, 856, 267, 9493, 4927, 723, 513, 13411, 5996, 6327, 282, 9493, 4927, 798, 1100, 1425, 850, 960, 281, 855, 9493, 4927, 2709, 519, 26151, 11325, 1359, 585, 513, 6653, 5260, 712, 21349, 8614, 327, 990, 1695, 282, 1079, 1762, 13032, 4169, 267, 835, 15155, 267, 543, 5722, 22917, 2125, 540, 519, 1101, 1032, 3034, 1432, 6770, 856, 519, 5168, 811, 3982, 569, 568, 519, 1689, 649, 1265, 538, 4947, 1524, 547, 519, 18749, 3923, 269, 901, 568, 519, 17019, 1826, 540, 1018, 3982, 1947, 4145, 5840, 2443, 5840, 2040, 3000, 539, 543, 4547, 883, 519, 26460, 540, 2696, 269, 3371, 649, 1294, 519, 3017, 1360, 6825, 282, 585, 972, 568, 10645, 855, 968, 821, 1762, 13032, 1442, 267, 835, 15155, 267, 543, 5722, 22917, 2125, 540, 519, 1101, 1032, 1510, 6926, 332, 880, 892, 898, 19330, 519, 3505, 1145, 540, 21981, 547, 11419, 799, 4682, 856, 547, 519, 22918, 850, 607, 1134, 607, 519, 4035, 269, 898, 568, 855, 513, 2582, 7198, 547, 519, 11419, 602, 2696, 568, 827, 547, 4159, 547, 3571, 1004, 5840, 269, 898, 949, 1331, 519, 4102, 1106, 540, 7071, 267, 855, 1869, 621, 568, 1152, 513, 9864, 7198, 540, 11419, 269, 1703, 568, 855, 835, 1762, 13032, 1442, 2443, 711, 519, 1079, 1336, 538, 519, 3105, 2013, 269, 1924, 1586, 519, 693, 821, 618, 6377, 814, 1175, 519, 1482, 4137, 281, 968, 31800, 4927, 723, 593, 519, 20870, 1554, 540, 713, 18749, 3923, 606, 13411, 5996, 6327, 282, 543, 9493, 4927, 3413, 12787, 707, 20339, 281, 9493, 4927, 711, 798, 1022, 960, 972, 514, 281, 855, 9493, 4927, 2709, 513, 26151, 11325, 1359, 21349, 519, 7083, 585, 513, 6653, 5260, 712, 282, 835, 1762, 13032, 1442, 267, 835, 15155, 267, 543, 5722, 22917, 2125, 540, 519, 1101, 1032, 3034, 3719, 1310, 513, 1906, 2395, 972, 568, 513, 1360, 1114, 1826, 4547, 1354, 721, 269, 968, 4002, 519, 6957, 18818, 1554, 540, 519, 18749, 3923, 9493, 4927, 723, 606, 13411, 5996, 6327, 282, 9493, 4927, 798, 1100, 1425, 850, 960, 267, 543, 9493, 4927, 1832, 513, 21649, 21349, 519, 7083, 5722, 2395, 281, 543, 9493, 4927, 2709, 513, 26151, 11325, 1359, 267, 513, 15093, 1500, 676, 3595, 267, 540, 513, 6653, 5260, 712, 21349, 8614, 327, 990, 1695, 282, 24369, 1762, 13032, 4169, 1848, 3767, 15983, 713, 568, 1360, 18476, 269, 4208, 971, 513, 1689, 286, 1703, 568, 4986, 899, 621, 1354, 269, 898, 568, 1152, 950, 649, 2097, 547, 519, 21649, 540, 9184, 1716, 8163, 602, 713, 6727, 1689, 5526, 269, 6969, 713, 649, 5873, 538, 1978, 6381, 540, 1079, 13032, 4169, 610, 835, 13032, 1442, 281, 1934, 972, 616, 24369, 269, 4208, 24369, 286, 12984, 713, 711, 5497, 547, 3635, 938, 5289, 2219, 607, 547, 519, 5168, 540, 2696, 286, 3657, 649, 711, 547, 18505, 602, 621, 568, 519, 782, 855, 2407, 652, 4082, 540, 2441, 1634, 593, 519, 3618, 286, 898, 568, 1100, 3476, 519, 4549, 2218, 4308, 902, 269, 634, 1101, 543, 519, 20870, 2395, 540, 519, 3923, 1611, 519, 4549, 2218, 2081, 540, 2696, 547, 3142, 519, 6014, 1004, 1394, 547, 741, 2990, 540, 26164, 547, 519, 18710, 540, 2441, 538, 519, 26992, 269, 1809, 1631, 789, 616, 538, 602, 2990, 2443, 711, 538, 519, 16861, 3157, 267, 865, 547, 3717, 267, 609, 2696, 7930, 3056, 873, 593, 269, 9747, 1631, 649, 1224, 267, 968, 31800, 4927, 2709, 513, 26151, 11325, 1359, 267, 513, 15093, 1500, 676, 3595, 267, 540, 513, 6653, 5260, 712, 21349, 8614, 327, 990, 1695, 282, 24369, 1762, 13032, 4169, 267, 1079, 986, 916, 267, 543, 27552, 22917, 2125, 540, 519, 1101, 1032, 1848, 634, 24369, 4667, 547, 24901, 602, 621, 568, 782, 855, 2347, 267, 543, 519, 2407, 652, 1106, 540, 11589, 713, 282, 585, 5693, 1079, 694, 26223, 1131, 581, 519, 2407, 652, 4082, 540, 621, 269, 774, 597, 10117, 568, 1152, 2110, 540, 713, 282, 519, 4137, 4485, 1264, 28467, 547, 519, 25932, 269, 6270, 568, 519, 1826, 540, 519, 26992, 1851, 519, 905, 6814, 269, 634, 26992, 949, 711, 581, 19870, 267, 855, 621, 786, 581, 22543, 17802, 2282, 621, 563, 1607, 21649, 3947, 721, 513, 3020, 10206, 540, 602, 1390, 1554, 269, 898, 568, 7301, 602, 972, 786, 581, 1100, 5609, 538, 519, 4947, 2085, 269, 2311, 519, 1482, 942, 5609, 786, 581, 3833, 11108, 269, 1703, 786, 581, 513, 1804, 1198, 3812, 538, 22632, 540, 519, 960, 540, 519, 7083, 4906, 269, 634, 21047, 540, 782, 1919, 2687, 547, 2441, 543, 676, 3571, 3444, 786, 581, 10268, 538, 513, 6073, 1152, 711, 2347, 269, 901, 568, 1018, 568, 6719, 676, 519, 21649, 1934, 563, 3719, 538, 519, 3877, 540, 713, 21649, 972, 568, 2963, 2016, 540, 1776, 11495, 1249, 269, 898, 1131, 2408, 602, 972, 568, 711, 12873, 18113, 519, 2631, 540, 519, 7083, 779, 11419, 2429, 519, 26992, 269, 1325, 553, 256, 602, 2085, 786, 8858, 2589, 540, 7771, 267, 607, 649, 917, 689, 11992, 602, 693, 519, 1439, 540, 621, 972, 786, 581, 513, 5318, 856, 10767, 560, 540, 18326, 950, 30616, 568, 1577, 10690, 585, 513, 2230, 269, 1703, 814, 1044, 855, 835, 21705, 7198, 269, 4634, 538, 519, 26992, 267, 950, 30616, 1100, 3476, 1661, 14186, 267, 519, 32444, 1249, 786, 581, 1336, 602, 972, 568, 1100, 2844, 618, 540, 519, 1379, 540, 21981, 609, 799, 789, 3459, 269, 9747, 267, 607, 649, 1265, 267, 713, 21649, 4564, 519, 2898, 6429, 540, 519, 15940, 658, 1554, 269, 898, 568, 1767, 602, 593, 519, 1985, 1554, 267, 519, 2034, 1554, 267, 968, 31800, 4927, 2709, 12964, 1762, 13032, 4169, 282, 892, 543, 1586, 593, 519, 3791, 1554, 22221, 13032, 4169, 282, 543, 1586, 593, 519, 8772, 1554, 4557, 13032, 4169, 282, 543, 593, 519, 11359, 1554, 8370, 13032, 4169, 267, 543, 865, 13302, 269, 17610, 569, 782, 713, 711, 1152, 814, 2495, 267, 855, 519, 2495, 2798, 547, 519, 1249, 602, 972, 786, 711, 581, 519, 2844, 618, 540, 519, 1482, 13991, 1145, 607, 693, 519, 1101, 269, 11048, 519, 3483, 540, 2696, 2760, 14543, 269, 9747, 4061, 649, 1265, 602, 593, 519, 21632, 1554, 968, 31800, 4927, 2709, 513, 26151, 11325, 1359, 267, 513, 15093, 1500, 676, 3595, 267, 540, 513, 6653, 5260, 712, 21349, 8614, 327, 990, 1695, 267, 835, 13032, 1442, 267, 835, 15155, 267, 543, 5722, 22917, 2125, 1848, 634, 21632, 1554, 6770, 721, 1934, 1100, 811, 982, 513, 2582, 7198, 267, 10834, 1018, 729, 3544, 519, 3618, 269, 898, 1522, 3100, 9058, 693, 1101, 8289, 602, 519, 21632, 1554, 1058, 581, 1447, 982, 519, 5722, 2395, 269, 4438, 519, 5722, 2395, 519, 1297, 2760, 3357, 1524, 865, 1970, 607, 547, 835, 13032, 1442, 269, 1809, 519, 2601, 4667, 547, 581, 713, 267, 602, 538, 10606, 649, 723, 519, 21981, 543, 3028, 540, 2441, 593, 3618, 267, 543, 18867, 1100, 811, 982, 513, 7198, 547, 1018, 568, 3544, 543, 1657, 519, 3618, 269, 898, 2798, 547, 1776, 543, 31676, 6429, 267, 799, 729, 711, 5265, 519, 1641, 540, 519, 1433, 269, 898, 568, 4061, 855, 513, 22072, 7198, 547, 31676, 1919, 267, 711, 741, 4367, 538, 1379, 563, 1103, 10606, 476, 1789, 972, 568, 1776, 543, 513, 1360, 1114, 14266, 540, 519, 5168, 540, 2696, 269, 898, 568, 513, 2243, 540, 4129, 3347, 269, 3371, 649, 2743, 609, 513, 1360, 25552, 6240, 269, 634, 1931, 540, 2078, 5673, 593, 519, 835, 547, 7247, 649, 616, 1644, 269, 898, 568, 1261, 602, 1754, 985, 267, 898, 568, 711, 2696, 779, 11460, 538, 891, 6927, 547, 1964, 519, 2597, 593, 519, 21260, 835, 267, 945, 568, 538, 519, 1747, 540, 5539, 267, 855, 593, 519, 2362, 267, 945, 568, 4397, 547, 723, 4222, 543, 7326, 563, 763, 1101, 2013, 540, 799, 649, 1224, 538, 519, 3184, 568, 267, 968, 2252, 513, 812, 12247, 513, 12247, 21349, 8614, 327, 990, 1695, 267, 610, 2220, 792, 606, 522, 987, 547, 12622, 1010, 9997, 609, 513, 6125, 267, 646, 4927, 711, 2736, 1010, 2262, 267, 646, 4927, 798, 2687, 547, 782, 602, 8399, 996, 856, 540, 1010, 5023, 10200, 685, 1684, 649, 711, 917, 945, 713, 568, 286, 1284, 917, 519, 2290, 945, 2760, 2115, 547, 11291, 513, 2262, 281, 8197, 267, 972, 568, 9039, 824, 269, 3571, 2262, 6763, 282, 649, 666, 3972, 621, 1510, 4250, 563, 3719, 621, 568, 711, 865, 609, 519, 4807, 267, 519, 21260, 6077, 269, 968, 2252, 513, 4807, 849, 12247, 513, 12247, 21349, 8614, 327, 990, 1695, 267, 543, 12622, 9887, 676, 513, 6125, 267, 1373, 538, 1200, 4651, 779, 2777, 538, 1200, 6107, 282, 543, 1200, 4651, 5873, 1200, 12247, 267, 543, 1200, 6125, 1141, 5976, 1352, 554, 987, 3808, 1200, 9997, 267, 543, 1200, 4651, 4927, 3180, 1010, 4708, 693, 1200, 281, 1287, 782, 1200, 642, 3298, 4927, 1796, 267, 543, 1169, 6125, 1141, 5976, 1352, 554, 987, 3808, 1200, 9997, 4927, 1796, 1848, 901, 568, 938, 2990, 267, 607, 621, 729, 602, 540, 5840, 269, 1358, 4371, 519, 1747, 540, 519, 4807, 2687, 547, 519, 1826, 540, 713, 3184, 267, 607, 519, 812, 729, 8614, 327, 990, 1695, 5336, 612, 11672, 267, 1100, 8969, 267, 538, 922, 2407, 1104, 269, 1809, 621, 729, 8614, 327, 990, 1695, 602, 12038, 267, 543, 3571, 1913, 11542, 282, 8614, 327, 990, 1695, 5336, 612, 11672, 729, 519, 4652, 9430, 2290, 540, 5840, 269, 3509, 513, 16420, 2262, 789, 1767, 282, 1082, 513, 18174, 880, 12247, 789, 1500, 269, 1215, 1705, 1261, 1521, 782, 286, 769, 1079, 2081, 269, 1261, 19500, 538, 519, 1379, 540, 3571, 1378, 11419, 267, 543, 4061, 771, 9994, 539, 1018, 729, 4636, 267, 711, 11006, 519, 18174, 880, 12247, 593, 1200, 945, 12038, 865, 796, 611, 14876, 569, 609, 1200, 17534, 269, 1261, 4847, 1200, 1913, 547, 1780, 2476, 267, 547, 581, 7745, 267, 547, 723, 1100, 11006, 12117, 269, 1215, 1178, 4109, 568, 519, 7083, 256, 2201, 519, 824, 1688, 267, 7231, 538, 3571, 22257, 7326, 267, 1261, 1522, 1450, 519, 18174, 880, 547, 6961, 1200, 1378, 1165, 569, 282, 543, 865, 1261, 1705, 269, 901, 1932, 814, 1044, 3020, 540, 5840, 269, 1261, 814, 15868, 602, 3571, 1004, 1058, 1745, 519, 4539, 540, 1018, 789, 1767, 538, 741, 11348, 269, 1809, 21407, 569, 519, 1554, 568, 4947, 950, 1261, 786, 957, 538, 519, 3505, 1145, 540, 3571, 11419, 267, 543, 782, 602, 568, 18174, 880, 786, 581, 607, 796, 515, 731, 267, 796, 2958, 626, 1229, 267, 543, 1025, 582, 1540, 856, 585, 2479, 563, 763, 1482, 3364, 568, 3020, 267, 9763, 538, 1776, 2078, 269, 4675, 3151, 621, 729, 711, 513, 4651, 609, 513, 1126, 267, 855, 513, 9393, 630, 951, 525, 476, 277, 268, 279, 2567 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12901, 527, 6412, 543, 26269, 4521, 257, 607, 851, 540, 834, 30311, 1315, 6355, 1299, 11038, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 272, 269, 272, 11137, 540, 519, 6092, 281, 21150, 1046, 532, 593, 2659, 28042, 17714, 609, 519, 3943, 24125, 692, 8702, 547, 519, 3078, 1158, 540, 519, 3943, 18057, 256, 901, 6293, 814, 513, 3638, 1686, 6580, 1394, 547, 519, 476, 1704, 628, 2540, 543, 3788, 606, 1898, 851, 540, 32427, 553, 267, 2842, 679, 5145, 956, 267, 543, 15690, 13164, 2221, 269, 3776, 3460, 1927, 998, 713, 3102, 1576, 786, 1683, 596, 609, 513, 4396, 5748, 538, 4730, 519, 3943, 18057, 267, 607, 1134, 607, 606, 1620, 540, 922, 3140, 4644, 543, 2686, 1764, 269, 1924, 1577, 781, 4685, 883, 1018, 596, 666, 2503, 689, 713, 6909, 7574, 7045, 2439, 17345, 12856, 543, 17644, 454, 10900, 13430, 1607, 1576, 568, 2966, 547, 3391, 1164, 1153, 1053, 998, 519, 17950, 540, 3943, 18057, 4730, 267, 1519, 4480, 267, 12372, 1222, 267, 27132, 267, 543, 2575, 3069, 269, 1635, 519, 1439, 540, 713, 1576, 267, 596, 1058, 581, 2111, 547, 1384, 272, 269, 23227, 622, 15334, 538, 4909, 3943, 18057, 2553, 971, 607, 2377, 13224, 675, 5250, 267, 7244, 267, 13994, 1637, 267, 543, 703, 29396, 563, 273, 269, 9524, 1585, 6163, 540, 2575, 267, 8151, 689, 8106, 547, 4207, 267, 693, 513, 19579, 1377, 563, 274, 269, 13760, 2596, 2575, 3069, 2035, 1644, 547, 519, 3943, 18057, 267, 971, 607, 10569, 267, 10253, 267, 11996, 267, 22334, 267, 1098, 6570, 267, 543, 11281, 563, 275, 269, 3763, 2500, 2259, 2994, 267, 7175, 5812, 2208, 543, 6454, 563, 276, 269, 28150, 7071, 585, 519, 1909, 540, 519, 3943, 18057, 1369, 1114, 11964, 267, 4529, 267, 543, 21971, 563, 277, 269, 4980, 10675, 2565, 6947, 1983, 676, 7421, 3318, 19827, 543, 12644, 780, 17806, 1504, 9257, 454, 2411, 19030, 2414, 948, 596, 6330, 713, 3573, 1641, 2339, 267, 938, 1837, 568, 6896, 883, 1896, 11271, 267, 1142, 2519, 593, 1808, 3344, 540, 3943, 18057, 4730, 269, 3371, 781, 513, 5618, 7650, 540, 1018, 6013, 6619, 1384, 265, 2878, 6637, 476, 272, 281, 4985, 547, 3943, 24125, 5093, 769, 713, 3184, 267, 649, 2253, 676, 3246, 513, 2489, 4367, 547, 519, 3943, 18057, 267, 7234, 922, 8129, 267, 1646, 267, 543, 2189, 4162, 3379, 547, 824, 21567, 7405, 269, 1284, 849, 6338, 519, 11768, 540, 519, 1433, 543, 2285, 596, 513, 14229, 752, 32708, 883, 930, 3584, 4988, 2663, 593, 563, 265, 2878, 6637, 476, 273, 281, 26386, 540, 29892, 5093, 5548, 557, 883, 519, 6491, 1399, 3766, 761, 1399, 3877, 540, 1697, 14302, 267, 1688, 2990, 267, 5023, 12328, 13307, 267, 7362, 1852, 267, 10209, 5224, 267, 543, 811, 9789, 2679, 7161, 2556, 585, 13215, 519, 6293, 563, 265, 2878, 6637, 476, 274, 281, 2480, 2297, 267, 1488, 701, 1375, 3930, 267, 543, 3955, 10094, 5093, 6258, 875, 547, 1404, 2101, 267, 5634, 267, 6985, 1738, 267, 21462, 267, 543, 20008, 520, 4577, 10253, 282, 818, 701, 1375, 3930, 282, 543, 1455, 11996, 1031, 538, 21088, 543, 26254, 27132, 563, 265, 2878, 6637, 476, 275, 281, 3203, 545, 1637, 543, 18868, 5093, 13028, 1585, 10209, 5224, 3270, 267, 1793, 584, 2590, 2553, 267, 588, 3147, 6737, 4730, 267, 543, 6422, 4082, 267, 7393, 707, 2702, 547, 1685, 3309, 7574, 6163, 6461, 1227, 563, 265, 2878, 6637, 476, 276, 281, 590, 697, 7335, 543, 6657, 11150, 5093, 13724, 8289, 2542, 5759, 543, 1020, 3608, 2259, 13467, 267, 4180, 4797, 3356, 2429, 707, 7574, 3460, 563, 265, 2878, 6637, 476, 277, 281, 2107, 3832, 560, 1537, 1401, 1356, 14186, 543, 2037, 14517, 18264, 22761, 5093, 10812, 4583, 32461, 689, 519, 19762, 560, 1537, 3332, 543, 1451, 2629, 28972, 4388, 950, 7900, 609, 3677, 2516, 563, 265, 2878, 6637, 476, 278, 281, 27227, 267, 7377, 267, 543, 12634, 26505, 5093, 30771, 707, 20030, 3564, 2757, 8106, 27132, 676, 1565, 1561, 6665, 1049, 2553, 543, 3695, 2442, 2575, 3156, 563, 265, 2878, 6637, 476, 279, 281, 5516, 543, 20904, 540, 2659, 19639, 618, 5093, 3550, 6099, 2773, 543, 15325, 540, 707, 3943, 18057, 998, 2834, 7738, 267, 19149, 908, 17901, 267, 3282, 2242, 267, 543, 7202, 8851, 563, 265, 2878, 7343, 21043, 5093, 589, 29395, 540, 2474, 267, 9491, 1359, 12125, 267, 543, 3606, 2200, 547, 1489, 707, 5571, 1353, 540, 519, 3943, 18057, 780, 30108, 8081, 10049, 454, 10900, 7042, 9961, 713, 1837, 267, 596, 786, 1265, 6402, 547, 8301, 543, 3381, 1806, 20515, 1271, 2035, 5941, 538, 1142, 3296, 269, 1452, 2326, 4196, 711, 1152, 607, 3407, 4704, 2798, 855, 849, 8300, 8404, 543, 10761, 607, 596, 7198, 4648, 11744, 741, 4739, 269, 3958, 267, 24045, 3211, 267, 17118, 267, 543, 10467, 13173, 2824, 4245, 267, 3850, 3610, 547, 2708, 2875, 8223, 3927, 780, 21093, 29035, 454, 1366, 15365, 3086, 602, 596, 917, 1018, 19179, 1080, 596, 538, 713, 3102, 1576, 267, 10544, 707, 3943, 18057, 543, 1491, 513, 4090, 547, 5660, 922, 5898, 543, 6988, 269, 5994, 782, 519, 7415, 15885, 543, 20605, 8090, 4547, 547, 1272, 676, 713, 11684, 6293, 269, 2060, 11428, 267, 9639, 267, 543, 15131, 267, 596, 1932, 786, 4166, 3565, 547, 922, 3879, 686, 748, 9371, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 23210, 24125, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 547, 3943, 24125, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 8702, 547, 938, 3992, 593, 1620, 21113, 543, 5763, 2359, 256, 5620, 596, 2479, 9289, 875, 1004, 1902, 741, 2724, 547, 1332, 741, 5763, 286, 2290, 1259, 568, 998, 10115, 538, 21113, 269, 2913, 781, 2263, 1018, 21113, 616, 543, 1946, 789, 666, 581, 513, 1434, 5092, 4781, 780, 5331, 2469, 547, 707, 5172, 4558, 547, 4444, 513, 17711, 3046, 269, 1411, 5469, 602, 519, 3902, 814, 8854, 909, 2094, 519, 2063, 942, 596, 11751, 835, 269, 1548, 1522, 723, 3361, 713, 2333, 538, 3902, 286, 1703, 1223, 581, 1082, 4128, 267, 855, 835, 7872, 568, 602, 972, 814, 1044, 513, 17732, 540, 23342, 267, 799, 568, 1031, 547, 1118, 10217, 269, 1879, 972, 3884, 1405, 2614, 540, 513, 1880, 4199, 267, 899, 23342, 267, 922, 1871, 4422, 909, 1317, 3747, 20489, 3761, 269, 901, 1523, 10039, 711, 1152, 547, 1426, 2472, 855, 849, 547, 824, 2067, 2200, 971, 607, 3282, 267, 3154, 267, 4154, 267, 8988, 267, 543, 811, 269, 1452, 2200, 616, 1634, 607, 21113, 780, 3086, 1577, 781, 1589, 827, 1946, 9520, 1131, 1616, 547, 2322, 741, 2724, 883, 891, 2010, 540, 7221, 269, 1280, 26784, 267, 930, 1004, 3494, 602, 26539, 2168, 5370, 3091, 4027, 1996, 10637, 269, 1403, 5777, 4473, 1813, 547, 10637, 267, 1287, 519, 22194, 630, 22496, 518, 264, 3902, 540, 519, 20161, 786, 2693, 1246, 9290, 269, 3958, 267, 1978, 21113, 949, 4196, 607, 15949, 2471, 1282, 2804, 15125, 5281, 282, 950, 13632, 1685, 14605, 267, 6151, 2326, 4043, 547, 2226, 610, 1256, 5660, 538, 1871, 269, 1635, 4129, 4328, 741, 14769, 609, 21113, 267, 9520, 2832, 547, 2569, 2949, 1981, 1247, 5732, 2810, 7024, 780, 3719, 7227, 910, 9140, 1804, 9424, 540, 4154, 13063, 610, 11288, 13688, 2407, 540, 3282, 3085, 1405, 3280, 4052, 585, 1034, 2043, 256, 2334, 781, 1141, 2883, 7405, 1572, 20304, 11731, 2097, 538, 13561, 269, 589, 20304, 4579, 4564, 606, 6876, 1063, 1079, 6105, 547, 4444, 610, 6133, 513, 1808, 7274, 540, 513, 20161, 693, 513, 24441, 4266, 543, 3902, 538, 519, 2104, 269, 28358, 999, 9467, 2636, 1179, 22399, 547, 914, 593, 2436, 519, 3902, 540, 513, 2016, 20161, 786, 979, 909, 610, 1524, 267, 3850, 873, 547, 7443, 7488, 540, 4890, 9562, 540, 519, 5817, 10697, 780, 4131, 781, 2015, 606, 1383, 1210, 13386, 28369, 269, 14597, 10787, 1067, 15608, 26770, 1010, 7693, 6556, 547, 581, 2539, 982, 8912, 1985, 4005, 1813, 547, 30369, 4365, 2175, 269, 1261, 16976, 547, 9376, 538, 513, 9513, 3902, 1631, 676, 10024, 883, 513, 20304, 4579, 269, 2311, 7556, 942, 267, 1100, 2339, 519, 2344, 3902, 267, 646, 6487, 4010, 875, 1454, 646, 786, 4309, 829, 1668, 3559, 4421, 896, 519, 2474, 540, 1010, 4579, 269, 2201, 519, 16212, 2427, 267, 22823, 5975, 1399, 6499, 547, 5150, 1200, 7727, 540, 29704, 7912, 585, 1200, 29221, 2044, 1870, 269, 2701, 13788, 883, 513, 5094, 20304, 4579, 3858, 532, 547, 6718, 513, 1305, 2179, 540, 13386, 28369, 693, 513, 6378, 3902, 538, 4434, 269, 5637, 6105, 4324, 689, 2348, 3589, 1464, 1472, 3790, 543, 19614, 780, 20059, 832, 945, 1810, 1405, 3132, 610, 8532, 21113, 1869, 7119, 538, 20304, 6990, 269, 1358, 3801, 547, 9472, 519, 4287, 540, 20161, 5777, 1759, 593, 2518, 2621, 267, 23786, 13253, 267, 2825, 2188, 267, 6639, 8441, 267, 543, 824, 4632, 7133, 3761, 543, 3747, 269, 21988, 11236, 1291, 547, 12434, 267, 6466, 11234, 3283, 1267, 538, 9271, 780, 2026, 649, 16833, 909, 2221, 781, 4901, 267, 3314, 602, 10115, 2141, 11438, 4220, 267, 1519, 1761, 2530, 540, 3854, 269, 6969, 11362, 883, 1022, 1826, 540, 5092, 267, 2523, 1346, 5473, 21113, 267, 3343, 5583, 689, 4648, 543, 2327, 596, 1174, 782, 3344, 3238, 269, 667, 1392, 2305, 267, 7580, 4058, 267, 543, 9639, 616, 1883, 3334, 540, 3811, 5763, 2359, 2994, 6220, 21113, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8340, 3466, 543, 2200, 585, 519, 5207, 3406, 31891, 17161, 593, 5616, 538, 519, 2063, 476, 2190, 3108, 2630, 269, 901, 2022, 729, 8242, 593, 476, 1708, 273, 268, 6734, 268, 6187, 563, 763, 12747, 1062, 5531, 338, 2200, 585, 1142, 2736, 719, 20438, 267, 1818, 621, 1454, 4443, 547, 2328, 5816, 4930, 593, 3905, 31795, 923, 3533, 269, 2422, 713, 1907, 547, 18214, 519, 22048, 21117, 585, 1863, 2336, 8923, 4063, 602, 3388, 593, 713, 2985, 568, 8850, 10356, 543, 6383, 269, 4787, 574, 998, 5816, 2022, 2093, 2394, 596, 1265, 1945, 596, 2461, 5461, 538, 1603, 827, 269, 6875, 519, 2182, 960, 856, 540, 4466, 543, 15388, 2442, 5816, 2022, 2093, 563, 16665, 15080, 1107, 5681, 3405, 1242, 454, 1556, 269, 274, 281, 634, 6715, 1537, 4530, 13723, 267, 5988, 476, 1839, 1234, 5115, 281, 14938, 1878, 11352, 519, 1739, 9696, 676, 741, 2208, 2557, 607, 562, 3980, 508, 281, 533, 562, 267, 23692, 3799, 1070, 562, 267, 476, 272, 269, 4905, 333, 2073, 562, 274, 1341, 476, 273, 267, 562, 29755, 476, 2004, 267, 562, 273, 2073, 562, 1911, 2073, 476, 273, 333, 2073, 476, 2004, 333, 2073, 23692, 3799, 264, 1789, 2073, 562, 272, 269, 9826, 4855, 519, 7182, 540, 519, 1739, 9696, 281, 679, 1341, 476, 278, 333, 1341, 476, 273, 476, 280, 563, 21918, 562, 20681, 31236, 23692, 3799, 264, 1341, 562, 256, 476, 272, 269, 4905, 333, 562, 20681, 31236, 562, 562, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 4857, 607, 971, 267, 4250, 532, 789, 1131, 581, 5134, 8972, 12727, 14991, 454, 288, 3090, 540, 26454, 538, 519, 7260, 267, 519, 2370, 8004, 538, 519, 2699, 10359, 945, 5526, 1282, 519, 5277, 566, 540, 519, 575, 2867, 1729, 538, 519, 7260, 729, 1759, 593, 513, 1483, 1268, 269, 769, 519, 4670, 267, 519, 2370, 8004, 568, 5129, 676, 957, 816, 744, 2993, 342, 807, 667, 629, 4900, 6390, 267, 945, 1765, 520, 519, 2085, 540, 1614, 1765, 335, 668, 2213, 1975, 1408, 6199, 602, 1352, 1131, 711, 4585, 519, 4670, 2394, 1352, 729, 476, 1240, 1296, 2025, 269, 2701, 16957, 569, 14478, 519, 7260, 950, 1352, 729, 476, 1556, 267, 8840, 1200, 9153, 267, 543, 6170, 1296, 7947, 532, 519, 1995, 269, 13536, 267, 1352, 5143, 519, 11545, 25357, 267, 968, 296, 7691, 594, 1185, 1044, 851, 540, 1945, 594, 1223, 581, 10583, 540, 269, 1975, 1408, 6199, 729, 1318, 281, 594, 1185, 547, 1332, 909, 547, 4585, 519, 4670, 3034, 763, 16586, 22983, 519, 13814, 267, 24006, 10603, 32490, 267, 19934, 267, 543, 5333, 538, 2904, 476, 3707, 271, 269, 769, 519, 13814, 267, 519, 16586, 8704, 14880, 1530, 903, 338, 24493, 32483, 607, 25415, 12921, 2174, 1170, 541, 267, 945, 3533, 3459, 547, 30201, 1393, 519, 5111, 476, 9610, 267, 1822, 10656, 7642, 269, 7642, 941, 7142, 856, 540, 741, 6009, 543, 1185, 547, 11578, 609, 519, 2229, 269, 6348, 11219, 28779, 10656, 4961, 1486, 6479, 891, 3800, 267, 543, 538, 5988, 476, 3707, 272, 789, 588, 3042, 513, 10880, 602, 729, 3533, 16760, 269, 2991, 19934, 781, 21704, 693, 519, 1439, 540, 2904, 476, 3707, 271, 267, 621, 729, 12199, 676, 513, 4436, 4108, 17294, 267, 12138, 13153, 674, 1779, 523, 27346, 523, 267, 945, 21892, 4550, 11219, 28779, 3800, 1996, 519, 2197, 781, 476, 3445, 267, 1822, 7642, 267, 1082, 540, 7247, 941, 15076, 689, 5125, 610, 8109, 2342, 563, 299, 1168, 529, 1767, 602, 1010, 635, 10232, 14593, 13189, 543, 26265, 998, 519, 5911, 547, 519, 31852, 945, 8593, 593, 873, 865, 7542, 665, 13124, 602, 930, 941, 2451, 4666, 593, 519, 2666, 267, 14324, 547, 4773, 538, 519, 521, 867, 573, 26545, 1076, 269, 634, 23826, 1284, 327, 3944, 25638, 7980, 267, 945, 1185, 1044, 8655, 547, 9856, 519, 3786, 1282, 519, 5912, 267, 8929, 883, 519, 4254, 543, 7166, 3875, 1004, 269, 700, 339, 269, 18039, 1325, 11420, 267, 513, 3703, 7980, 945, 729, 693, 519, 3786, 593, 519, 1554, 540, 519, 19802, 267, 5143, 1010, 5067, 715, 658, 331, 1310, 519, 2112, 602, 834, 1103, 930, 24947, 267, 519, 12017, 12579, 941, 8338, 982, 519, 16586, 4799, 1103, 519, 2887, 540, 602, 1032, 519, 623, 22119, 553, 345, 6759, 342, 960, 3786, 8118, 7404, 267, 543, 676, 5988, 476, 3707, 274, 621, 729, 896, 519, 4971, 540, 519, 711, 528, 13124, 8909, 2065, 9399, 11464, 2549, 517, 717, 7238, 628, 267, 945, 1131, 581, 13401, 1310, 519, 2112, 269, 13317, 1944, 593, 519, 11464, 779, 14031, 585, 4235, 543, 824, 17195, 3688, 2139, 5631, 593, 519, 3109, 2344, 267, 5576, 785, 2401, 16916, 1010, 11505, 676, 4180, 513, 3586, 6908, 540, 873, 547, 519, 5636, 320, 689, 799, 646, 16136, 1177, 519, 3786, 269, 5576, 785, 2401, 3976, 7307, 547, 7173, 841, 2390, 717, 7238, 628, 547, 1711, 513, 5094, 3786, 585, 1010, 6014, 4600, 267, 1141, 789, 941, 1863, 540, 519, 28407, 11124, 693, 623, 22119, 553, 345, 6759, 342, 269, 9282, 5576, 785, 2401, 779, 18144, 1991, 547, 713, 1448, 616, 15458, 267, 1082, 5640, 4612, 1010, 3646, 547, 970, 878, 622, 1010, 4600, 689, 623, 22119, 553, 345, 6759, 342, 607, 16315, 602, 1010, 6161, 585, 873, 729, 711, 17033, 2883, 563, 26944, 2103, 8428, 593, 519, 4266, 540, 519, 3375, 547, 12638, 7642, 18928, 267, 519, 865, 10777, 968, 325, 1400, 3070, 547, 519, 6014, 2243, 1848, 1703, 568, 7521, 827, 2436, 972, 729, 835, 3844, 3375, 610, 513, 3126, 540, 6237, 3664, 538, 3210, 547, 2199, 2175, 269, 769, 2901, 2013, 267, 950, 5125, 16091, 519, 8168, 5742, 267, 922, 5449, 24343, 267, 538, 4873, 540, 476, 3707, 272, 267, 519, 21647, 3459, 519, 9836, 11318, 540, 7642, 563, 8138, 30533, 619, 616, 13886, 267, 693, 1022, 942, 267, 547, 1217, 12794, 15756, 345, 16927, 12487, 540, 741, 7287, 547, 22599, 741, 20478, 676, 6028, 513, 2312, 15146, 5048, 593, 476, 6734, 268, 24423, 11260, 271, 2073, 610, 676, 11488, 2854, 31015, 630, 1877, 2088, 1123, 281, 519, 23545, 566, 5469, 264, 676, 535, 1314, 630, 1729, 476, 6734, 268, 24423, 10204, 274, 1070, 676, 10805, 13875, 630, 1729, 4427, 2675, 3628, 4972, 267, 476, 1240, 6428, 2006, 5576, 1442, 523, 9335, 267, 18161, 13340, 476, 12573, 3066, 267, 20052, 2997, 643, 267, 5840, 476, 277, 1724, 2004, 1070, 676, 6679, 513, 6075, 3028, 7662, 610, 676, 4757, 630, 1729, 4757, 11333, 2593, 1916, 21691, 880, 8128, 1486, 6479, 1996, 513, 6429, 538, 799, 7980, 21039, 538, 14470, 26977, 13401, 6014, 14586, 269, 634, 18635, 4769, 1405, 723, 1022, 834, 5226, 529, 1782, 7952, 257, 1282, 519, 2112, 269, 634, 6429, 729, 16013, 4364, 543, 1631, 2982, 519, 20711, 956, 543, 519, 7916, 540, 519, 7980, 538, 2243, 269, 4634, 865, 267, 1312, 8747, 15151, 7283, 538, 10009, 607, 20636, 7641, 8385, 4951, 519, 3312, 4528, 267, 543, 16528, 7641, 519, 16013, 4364, 4528, 1369, 4374, 540, 1142, 824, 269, 6423, 811, 19314, 4002, 4728, 476, 2420, 267, 476, 4350, 274, 267, 513, 1906, 4374, 1310, 29747, 13609, 1185, 1044, 12912, 25415, 26554, 27891, 267, 513, 5834, 3786, 585, 2797, 14586, 729, 1305, 909, 538, 667, 778, 879, 269, 901, 3786, 6039, 607, 513, 2203, 585, 782, 2663, 5834, 13122, 543, 607, 513, 834, 25217, 540, 5208, 257, 585, 519, 9399, 2367, 896, 4171, 4971, 621, 11542, 269, 769, 519, 12964, 1296, 540, 922, 6228, 936, 476, 1220, 269, 1822, 7606, 689, 782, 936, 2342, 941, 29802, 1934, 543, 538, 519, 3875, 13564, 776, 13122, 269, 476, 6078, 269, 4335, 941, 23689, 269, 2201, 4989, 476, 3066, 476, 3707, 276, 267, 1977, 10136, 5391, 23306, 519, 15000, 563, 3528, 5147, 476, 3707, 275, 267, 5125, 729, 9561, 519, 2112, 282, 519, 9399, 3459, 14656, 1524, 519, 9456, 2865, 5834, 13122, 543, 1244, 15659, 519, 6967, 14586, 31023, 269, 3509, 941, 7166, 538, 26401, 543, 519, 24162, 7304, 4923, 5834, 3786, 269, 5576, 785, 2401, 18617, 9399, 6953, 879, 696, 560, 584, 332, 325, 6686, 327, 17243, 2549, 517, 717, 7238, 628, 267, 4971, 656, 540, 519, 7404, 918, 21531, 6759, 342, 6261, 22119, 553, 345, 6759, 342, 5834, 3786, 267, 547, 1450, 1864, 547, 1847, 1010, 12051, 547, 5696, 333, 384, 505, 31037, 538, 519, 5019, 10725, 622, 540, 4425, 1335, 807, 543, 5651, 822, 807, 267, 3976, 838, 2130, 1010, 4600, 689, 3592, 1978, 2669, 538, 519, 3154, 20830, 269, 4635, 4408, 3177, 676, 6014, 717, 2867, 1729, 17318, 11464, 3057, 4897, 7108, 6199, 267, 717, 7238, 628, 781, 23122, 631, 2884, 2131, 623, 655, 704, 16432, 543, 29921, 519, 1592, 540, 476, 272, 267, 1220, 7642, 945, 24964, 547, 5696, 6686, 25699, 331, 6308, 538, 5239, 476, 3707, 275, 269, 5576, 785, 2401, 4797, 547, 536, 11171, 9399, 8387, 547, 2061, 519, 11056, 540, 1010, 4600, 2394, 519, 1439, 540, 2622, 2782, 4083, 538, 2342, 538, 2904, 476, 3707, 276, 267, 676, 799, 942, 646, 1185, 6170, 1010, 3003, 19539, 593, 536, 1026, 525, 543, 3109, 2344, 16306, 540, 7727, 585, 1010, 4600, 563, 7212, 711, 10288, 547, 1491, 851, 267, 24004, 28748, 543, 1082, 17867, 5238, 941, 3238, 538, 519, 4058, 543, 8876, 856, 540, 13019, 5406, 570, 275, 693, 1169, 3942, 269, 2991, 17600, 689, 519, 4436, 7826, 543, 17557, 13039, 267, 13609, 10288, 519, 23545, 566, 540, 519, 570, 275, 1982, 538, 4864, 476, 3707, 272, 267, 4352, 519, 16981, 543, 15508, 2192, 4797, 547, 581, 7166, 2394, 519, 1439, 540, 519, 2112, 269, 634, 2564, 2146, 5781, 4607, 4703, 543, 1560, 2694, 585, 1382, 269, 661, 828, 14551, 20913, 2160, 4607, 476, 272, 267, 5881, 278, 4703, 689, 4291, 1903, 1063, 476, 4350, 274, 543, 476, 3707, 276, 269, 634, 5778, 27023, 626, 25840, 8065, 969, 867, 523, 4607, 476, 7597, 278, 12058, 689, 835, 6413, 1063, 476, 3707, 271, 543, 476, 3707, 275, 281, 834, 296, 7608, 891, 12058, 540, 1576, 269, 7316, 789, 3357, 689, 543, 875, 789, 3357, 547, 803, 729, 2731, 9039, 540, 1250, 1870, 4799, 29834, 729, 5143, 676, 519, 5449, 31852, 540, 667, 778, 879, 602, 834, 28236, 16529, 3785, 941, 17298, 267, 971, 607, 519, 2504, 540, 5841, 14723, 267, 519, 6268, 540, 4005, 532, 23399, 267, 519, 10868, 540, 12192, 595, 689, 19914, 2723, 328, 543, 824, 5810, 267, 519, 14984, 2747, 540, 2030, 2208, 676, 9449, 10276, 878, 1117, 23226, 267, 543, 540, 1034, 2956, 547, 5125, 267, 519, 1646, 540, 10991, 13226, 269, 1306, 513, 19311, 521, 573, 5202, 267, 13342, 267, 4731, 9366, 267, 543, 824, 16392, 2371, 267, 543, 10448, 5452, 267, 941, 16916, 676, 519, 14586, 543, 1287, 4421, 282, 519, 12434, 4682, 547, 519, 9399, 4799, 5715, 601, 4601, 10077, 1042, 676, 519, 5260, 698, 2044, 543, 7092, 646, 21947, 1282, 2622, 2782, 4083, 24568, 4789, 1282, 519, 2349, 6308, 282, 538, 2112, 2389, 1941, 14913, 5607, 543, 2342, 282, 543, 267, 2523, 267, 538, 19161, 523, 5174, 1564, 523, 1765, 24730, 14339, 3455, 1705, 711, 960, 607, 513, 2112, 23031, 1586, 269, 1261, 1705, 267, 2705, 267, 3136, 547, 2951, 543, 8523, 1472, 519, 1158, 538, 519, 5756, 1310, 519, 2112, 1765, 31860, 538, 4000, 267, 1141, 646, 1500, 930, 540, 1010, 1034, 9976, 5961, 563, 763, 1764, 540, 519, 14195, 9867, 689, 3148, 547, 3148, 543, 689, 1032, 547, 1032, 538, 519, 476, 2641, 2477, 602, 941, 2047, 4299, 269, 3767, 1877, 729, 519, 14195, 811, 7920, 543, 6727, 982, 538, 21640, 269, 1548, 3576, 1747, 936, 1896, 1296, 538, 5125, 7018, 936, 476, 1626, 4374, 538, 21640, 269, 9373, 532, 519, 2112, 607, 513, 4436, 24343, 267, 21640, 1185, 30201, 3176, 922, 7642, 855, 711, 15868, 519, 1244, 677, 566, 540, 23826, 4961, 269, 769, 476, 3707, 272, 4914, 6014, 15076, 941, 1244, 9285, 689, 21640, 543, 941, 8929, 676, 16586, 538, 21919, 685, 12505, 1115, 6261, 617, 2812, 5652, 344, 267, 12907, 269, 2991, 5125, 22983, 21640, 593, 4728, 476, 866, 267, 476, 3707, 275, 267, 519, 3510, 4957, 13497, 269, 1635, 4571, 5025, 1440, 559, 519, 21647, 1185, 16876, 7642, 547, 575, 515, 1777, 657, 269, 2201, 2904, 476, 1428, 267, 1244, 677, 725, 3459, 267, 543, 936, 519, 1985, 476, 4649, 2395, 519, 21647, 1244, 9285, 811, 982, 476, 275, 4391, 267, 1822, 7642, 689, 21640, 547, 26401, 593, 476, 15704, 14884, 563, 763, 1858, 540, 519, 5449, 19161, 523, 5174, 1564, 523, 3786, 8593, 883, 10714, 1310, 519, 8781, 540, 519, 5656, 543, 519, 19479, 540, 519, 7404, 19774, 7606, 262, 3786, 538, 519, 4832, 540, 476, 4198, 271, 269, 634, 1858, 26871, 1540, 547, 646, 987, 282, 1906, 15244, 540, 519, 3786, 7283, 269, 1717, 267, 607, 2038, 607, 2904, 476, 3707, 276, 267, 519, 3703, 1185, 25517, 1804, 4191, 693, 519, 5449, 3786, 3135, 269, 1401, 17376, 2581, 619, 3459, 547, 1305, 909, 20375, 269, 589, 1101, 11308, 18189, 729, 3710, 676, 6014, 667, 11679, 538, 5181, 476, 3707, 276, 267, 4553, 676, 835, 1500, 538, 6149, 267, 6131, 593, 519, 1101, 16683, 540, 519, 19802, 538, 476, 3707, 277, 269, 2201, 5437, 476, 273, 267, 476, 3707, 276, 267, 513, 1804, 11308, 3444, 729, 6131, 607, 513, 18189, 547, 519, 23689, 14470, 14586, 269, 4746, 676, 519, 1439, 540, 476, 3707, 276, 519, 7737, 328, 1115, 1185, 3710, 513, 18189, 693, 519, 13675, 547, 519, 31266, 28200, 269, 589, 18189, 547, 519, 7969, 31266, 338, 4553, 538, 476, 4198, 271, 267, 855, 729, 6569, 950, 519, 4703, 941, 5368, 614, 1042, 538, 513, 31297, 28200, 563, 2690, 519, 1101, 942, 267, 13122, 941, 2813, 4481, 585, 7642, 269, 4256, 2175, 941, 2484, 8338, 982, 824, 13122, 269, 634, 17697, 9837, 729, 602, 519, 31852, 1131, 5884, 972, 269, 23207, 2338, 540, 7642, 538, 12996, 941, 882, 11343, 538, 575, 515, 1777, 657, 269, 6348, 11219, 28779, 2717, 525, 941, 849, 1244, 9285, 689, 741, 11396, 543, 14252, 547, 1118, 4055, 585, 2048 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1599, 267, 14912, 3211, 267, 3214, 2979, 1863, 4967, 563, 17843, 658, 4194, 875, 4009, 3597, 267, 840, 660, 823, 10689, 1158, 1686, 4296, 547, 2221, 932, 476, 277, 3296, 8039, 267, 1863, 10026, 7223, 676, 8176, 623, 269, 5062, 11390, 6558, 9499, 2228, 267, 6061, 513, 1062, 676, 24275, 4976, 267, 9256, 899, 2474, 4976, 267, 10026, 7223, 2042, 267, 1942, 8051, 554, 342, 3435, 563, 306, 7051, 3815, 2042, 267, 798, 7223, 2042, 267, 1863, 2228, 948, 593, 875, 547, 5187, 325, 344, 606, 9097, 3830, 609, 519, 4009, 3597, 1900, 676, 1900, 267, 5072, 543, 7787, 23055, 563, 307, 3419, 517, 6248, 4082, 607, 606, 15821, 4082, 267, 1138, 738, 4834, 24626, 267, 22217, 4328, 21929, 25285, 1837, 4267, 267, 7223, 3211, 1863, 23055, 563, 1692, 547, 4194, 8454, 585, 476, 275, 628, 17603, 267, 4194, 585, 562, 593, 513, 2228, 524, 659, 15975, 267, 6460, 3575, 6824, 547, 8918, 563, 306, 6295, 18119, 267, 14291, 8454, 543, 17447, 3211, 267, 18119, 1210, 27764, 9498, 267, 3211, 593, 8454, 689, 2547, 547, 6574, 563, 19187, 2906, 540, 1325, 613, 828, 320, 6096, 267, 1863, 2979, 14039, 1820, 8083, 267, 840, 531, 5040, 3211, 543, 5528, 267, 2868, 339, 840, 7223, 23519, 670, 5085, 303, 267, 1350, 523, 1723, 324, 26818, 326, 3863, 14629, 31376, 4359, 6310, 2035, 476, 1220, 275, 267, 9498, 6460, 6824, 547, 8918, 563, 24165, 289, 5723, 6579, 14510, 834, 278, 8025, 16998, 32767, 13878, 295, 257, 834, 11266, 3722, 2316, 4753, 12327, 2207, 290, 30990, 2580, 22092, 923, 2979, 2259, 4574, 267, 5062, 323, 537, 6549, 1396, 339, 749, 5664, 3427, 4569, 2259, 1433, 4267, 267, 19280, 17447, 585, 476, 277, 628, 3446, 267, 24668, 585, 6061, 9981, 9062, 267, 3446, 476, 276, 7223, 267, 16866, 1106, 540, 3017, 23479, 593, 27764, 8660, 563, 17004, 513, 5586, 3630, 4834, 585, 8115, 3756, 267, 834, 10339, 7859, 2228, 2580, 1196, 1189, 3276, 3455, 2228, 20131, 563, 8245, 680, 1518, 3597, 2942, 476, 1321, 267, 522, 1372, 24626, 609, 1079, 4632, 2034, 1931, 267, 13878, 295, 11553, 19860, 5495, 4811, 4888, 21923, 2464, 17676, 267, 2757, 7223, 272, 2034, 7160, 267, 9236, 543, 19280, 8454, 4976, 267, 7073, 11061, 23519, 4267, 563, 21008, 532, 1899, 267, 3046, 543, 5858, 11708, 267, 13306, 3597, 30263, 268, 10695, 7132, 267, 6657, 3211, 593, 3845, 2042, 267, 2228, 27764, 268, 10019, 267, 7223, 533, 11170, 9579, 3211, 563, 11328, 5562, 13392, 11708, 267, 3621, 9498, 1341, 257, 321, 2435, 8454, 257, 4647, 267, 476, 278, 628, 3446, 7403, 2259, 2042, 267, 28809, 13392, 4834, 31376, 267, 10789, 12430, 12307, 267, 1350, 523, 1723, 324, 8276, 322, 326, 3863, 4976, 4267, 267, 647, 732, 3597, 9498, 563, 10267, 520, 6656, 593, 840, 17038, 5040, 267, 1319, 18350, 4194, 1062, 540, 22357, 4834, 267, 12270, 7787, 2338, 9498, 267, 11282, 7077, 4976, 267, 620, 3455, 3630, 4834, 563, 4596, 299, 4041, 12283, 9338, 12283, 289, 6938, 11550, 25770, 300, 25663, 23615, 267, 2228, 15821, 9498, 267, 2979, 600, 18267, 563, 26594, 15821, 3830, 3211, 267, 27764, 10019, 7223, 3292, 267, 561, 10719, 3830, 267, 5858, 3830, 4976, 563, 14818, 2055, 593, 5506, 585, 2034, 17603, 267, 1018, 568, 6871, 585, 20252, 6953, 13860, 267, 28217, 290, 3201, 290, 8085, 4785, 609, 700, 8379, 3951, 306, 282, 589, 16998, 4338, 295, 5058, 6673, 24165, 21815, 8946, 7644, 291, 11581, 296, 3582, 4267, 547, 9642, 267, 4569, 4976, 8943, 598, 30708, 267, 27764, 268, 10019, 2845, 273, 267, 7824, 547, 27764, 8660, 563, 18204, 1674, 27764, 268, 8660, 1397, 3268, 267, 7223, 1148, 514, 267, 12825, 543, 32568, 3252, 27764, 476, 10695, 267, 6574, 1455, 3815, 4976, 563, 278, 8025, 16998, 32767, 13878, 295, 595, 7644, 12710, 2464, 267, 3732, 2055, 585, 661, 8104, 5087, 1286, 565, 2088, 476, 277, 628, 3446, 267, 28162, 29005, 8520, 6305, 1297, 267, 476, 275, 628, 3446, 2596, 513, 5586, 571, 267, 834, 3901, 18350, 476, 278, 28085, 8487, 266, 339, 583, 3645, 1341, 1457, 1516, 513, 9971, 689, 513, 3113, 267, 6061, 7750, 539, 4834, 267, 10442, 7787, 7215, 609, 1100, 9993, 267, 17676, 4888, 14684, 8991, 9215, 23817, 6865, 4953, 23802, 267, 4194, 4834, 1210, 6498, 543, 8454, 563, 13043, 338, 11282, 7077, 4976, 267, 7223, 476, 272, 1350, 523, 1723, 324, 267, 31872, 274, 476, 1220, 275, 13004, 521, 1846, 4267, 267, 1018, 568, 2845, 3490, 476, 1015, 538, 7194, 267, 2542, 513, 4336, 10026, 4976, 2979, 563, 307, 1410, 553, 2868, 339, 7223, 1433, 267, 3732, 540, 9479, 585, 4657, 8918, 547, 9352, 267, 13216, 5811, 269, 5131, 20861, 563, 31580, 18839, 1505, 267, 1863, 9971, 10991, 6498, 9498, 267, 6389, 540, 7787, 4082, 609, 27764, 268, 8660, 267, 2228, 9498, 547, 4194, 17114, 267, 2979, 512, 6545, 2259, 267, 1265, 519, 6389, 30263, 268, 10695, 7132, 267, 10789, 609, 533, 11170, 9579, 563, 21316, 295, 11553, 19860, 5495, 4811, 9338, 12283, 289, 6938, 267, 875, 547, 3815, 513, 23481, 1079, 4632, 267, 840, 17038, 5040, 21630, 3992, 563, 306, 13645, 3597, 8454, 267, 31872, 273, 2228, 1863, 13004, 2259, 11400, 267, 2228, 23240, 9498, 267, 22413, 537, 6921, 553, 960, 9248, 563, 307, 3419, 25285, 3752, 591, 589, 267, 4194, 7223, 4834, 267, 12825, 7688, 3446, 278, 267, 2034, 1931, 1875, 327, 558, 15119, 267, 476, 274, 6113, 3446, 15340, 3211, 563, 3519, 31844, 547, 14584, 1106, 267, 28809, 609, 2027, 1587, 3652, 267, 22712, 2784, 545, 4834, 267, 834, 531, 5040, 32533, 2580, 1711, 513, 3815, 3529, 27764, 268, 10019, 267, 30263, 268, 10695, 3955, 335, 25544, 1982, 3009, 267, 7223, 476, 273, 4976, 609, 3070, 563, 22091, 11228, 18119, 4976, 267, 11512, 519, 3017, 1063, 4830, 5439, 543, 8200, 5439, 269, 4147, 1518, 519, 1739, 607, 4830, 610, 8200, 5439, 281, 630, 277, 533, 1206, 1070, 1806, 540, 2979, 31851, 609, 4267, 563, 8245, 680, 1518, 18119, 9498, 267, 9208, 3502, 566, 910, 9628, 4569, 267, 19038, 3363, 4647, 267, 476, 278, 3446, 5850, 563, 10403, 18946, 9981, 1187, 2042, 3211, 267, 2259, 4255, 270, 22238, 1464, 585, 3446, 476, 277, 267, 21929, 25285, 6732, 18185, 267, 1689, 6404, 1297, 6824, 547, 30141, 6824, 9498, 563, 10403, 8635, 3211, 267, 27764, 10019, 1265, 11201, 14290, 267, 476, 275, 628, 6103, 10789, 7689, 4643, 267, 6824, 689, 2547, 547, 6574, 267, 2600, 17114, 267, 1101, 3446, 3830, 24626, 267, 2228, 2979, 2238, 17376, 830, 3815, 3074, 563, 22923, 6268, 7223, 267, 6061, 2034, 1931, 11186, 4834, 5609, 267, 22217, 4328, 7101, 25025, 18185, 267, 4967, 593, 28976, 18119, 267, 32089, 1341, 4999, 563, 291, 1204, 532, 2318, 543, 2942, 2338, 3211, 267, 9386, 1650, 2042, 267, 6460, 9352, 547, 15279, 1228, 31565, 538, 28162, 630, 13892, 1916, 1692, 547, 4194, 476, 279, 628, 15596, 1966, 267, 13392, 4834, 2979, 27847, 23055, 267, 26344, 5852, 3732, 2262, 2042, 563, 291, 1204, 532, 1395, 6706, 338, 4976, 267, 10789, 4804, 6732, 267, 1451, 7223, 267, 2979, 4542, 585, 5904, 267, 544, 7251, 537, 326, 718, 1396, 339, 749, 1647, 1153, 2979, 4267, 563, 9448, 300, 23621, 476, 10695, 267, 918, 338, 273, 13004, 1750, 1846, 267, 4194, 13483, 732, 3597, 7164, 267, 513, 761, 11490, 267, 2852, 7223, 267, 2228, 9498, 476, 274, 4632, 563, 31580, 1098, 10012, 2886, 267, 1863, 3211, 593, 1899, 13602, 267, 28065, 4834, 666, 581, 12193, 676, 24275, 267, 1210, 519, 13392, 4542, 267, 11264, 519, 4009, 267, 543, 28809, 269, 1548, 616, 519, 5294, 543, 931, 540, 1142, 540, 891, 2409, 286, 1879, 1522, 1142, 1505, 581, 1034, 3617, 286, 563, 291, 1204, 532, 9097, 7215, 31376, 267, 840, 7223, 4267, 267, 2262, 1966, 514, 29890, 563, 21923, 2894, 4596, 292, 1341, 7300, 1341, 17676, 267, 4466, 513, 3597, 609, 513, 9097, 267, 834, 3225, 566, 9498, 257, 586, 284, 332, 343, 17070, 267, 6061, 4834, 676, 4946, 610, 18946, 2259, 476, 274, 268, 275, 267, 875, 547, 2328, 519, 13392, 4542, 538, 28162, 267, 27764, 268, 10019, 7132, 23842, 813, 563, 257, 23251, 1026, 5737, 16296, 266, 2745, 762, 267, 2359, 2272, 3599, 266, 3667, 1504, 266, 16451, 4647, 267, 1863, 7792, 4967, 585, 11913, 2259, 585, 17918, 7041, 563, 296, 928, 638, 1275, 3211, 585, 476, 277, 628, 3446, 267, 1215, 547, 4194, 19038, 3363, 2055, 267, 5131, 2228, 10789, 3752, 591, 267, 7317, 5850, 593, 875, 547, 4194, 970, 8735, 748, 3435, 267, 1780, 1636, 547, 6128, 1433, 476, 273, 4976, 10569, 3446, 476, 278, 267, 3905, 2979, 2776, 25575, 5040, 3381, 1883, 267, 1863, 24263, 17447, 4976, 563, 306, 7051, 3815, 2262, 2042, 267, 7223, 4976, 2258, 2510, 267, 6061, 9097, 4834, 267, 15821, 1840, 267, 1820, 719, 8691, 267, 2241, 15821, 1966, 267, 2199, 5021, 610, 5934, 540, 13392, 3830, 563, 307, 328, 268, 10019, 5358, 585, 28809, 267, 17676, 9338, 12283, 289, 6938, 570, 6579, 2464, 267, 12719, 21159, 31872, 274, 4976, 563, 15542, 528, 19112, 1163, 517, 1115, 3391, 267, 7223, 18839, 2042, 267, 7787, 4082, 267, 331, 7251, 267, 3014, 563, 307, 328, 476, 10695, 8051, 3292, 267, 17006, 270, 11372, 28745, 23055, 267, 2228, 3014, 945, 6499, 547, 581, 513, 22301, 267, 9097, 8454, 267, 31851, 2055, 585, 476, 277, 628, 3446, 267, 3794, 523, 1723, 324, 270, 18250, 294, 3863, 6953, 650, 10789, 476, 272, 267, 4756, 547, 6824, 1379, 563, 25456, 14691, 589, 696, 3363, 11929, 267, 17693, 5669, 1806, 267, 3160, 5856, 4647, 27764, 476, 8660, 267, 27764, 476, 8660, 13392, 3830, 563, 14276, 268, 4486, 4542, 1341, 4542, 267, 7215, 2942, 20800, 9498, 267, 1319, 18350, 4194, 21800, 4834, 267, 7223, 535, 558, 10358, 267, 3794, 523, 1723, 324, 10789, 4267, 267, 1647, 1153, 2979, 609, 533, 11170, 9579, 1433, 667, 267, 6061, 6207, 1871, 4834, 267, 20412, 1807, 563, 10403, 2606, 7223, 2262, 1966, 3211, 267, 13591, 7223, 12596, 267, 9511, 3211, 585, 3791, 3446, 267, 1141, 666, 594, 1265, 5276, 7223, 2042, 267, 14458, 7223, 4834, 267, 1215, 1684, 1411, 4855, 519, 17361, 16748, 540, 513, 21121, 29845, 7223, 476, 272, 2868, 339, 1433, 563, 31580, 476, 273, 1433, 19315, 1470, 267, 13392, 4834, 585, 546, 27186, 267, 700, 8104, 2752, 18952, 5960, 11123, 667, 9331, 11085, 2464, 267, 4946, 543, 18946, 4009, 5072, 2228, 2259, 267, 1863, 1449, 593, 1942, 8051, 267, 2547, 547, 6574, 9498, 267, 1350, 523, 1723, 324, 6128, 4267, 563, 1692, 547, 1118, 606, 3830, 883, 3044, 1106, 267, 2868, 339, 7223, 835, 4267, 267, 28321, 6906, 538, 681, 274, 538, 25308, 267, 6128, 31851, 630, 339, 3419, 517, 5852, 1070, 13392, 9498, 3815, 267, 2852, 7223, 1966, 3070, 1433, 563, 2750, 16054, 2042, 267, 14291, 9352, 547, 15279, 593, 513, 30263, 268, 10695, 9578, 267, 1350, 523, 1723, 324, 840, 7223, 4267, 267, 512, 6545, 2979, 2262, 2042, 1806, 267, 9062, 9097, 4082, 9498, 267, 4542, 547, 6460, 8918, 1297, 547, 4009, 3597, 563, 26594, 5223, 1966, 4976, 267, 4834, 1210, 5546, 543, 562, 579, 3088, 3211, 585, 3214, 267, 7941, 17447, 676, 2898, 2338, 1863, 7792, 3211, 267, 4645, 28439, 2689, 4267, 563, 10481, 5852, 2979, 31851, 267, 30731, 6061, 11186, 4834, 267, 22417, 513, 6404, 1297, 547, 513, 27252, 8672, 563, 8245, 680, 4328, 5072, 9498, 267, 1863, 7792, 4946, 543, 18946, 2942, 2338, 2985, 267, 28162, 3009, 547, 2638, 1297, 1063, 519, 2039, 563, 10403, 840, 17038, 5040, 2789, 3903, 2259, 2262, 2042, 267, 31376, 3135, 609, 782, 1837, 543, 23519, 4267, 267, 5223, 2228, 1966, 24626, 267, 16296, 540, 2338, 1341, 1740, 1341, 9917, 1115, 267, 1647, 1153, 2979, 609, 533, 11170, 1794, 256, 3883, 667, 563, 1692, 547, 3313, 7638, 23753, 540, 513, 1899, 29845, 6824, 1379, 267, 4645, 5750, 267, 1863, 4647, 762, 476, 279, 628, 3446, 2979, 960, 9248, 267, 1039, 543, 10208, 9352, 8918, 9498, 267, 561, 10719, 776, 4214, 563, 257, 16451, 4976, 257, 1341, 6824, 1341, 10208, 267, 6061, 513, 1062, 540, 1875, 31059, 4834, 538, 1319, 18350, 267, 11589, 513, 4009, 3597, 607, 519, 2040, 540, 1079, 824, 4009, 5072, 267, 875, 547, 1205, 13392, 4834, 547, 3044, 1106, 563, 5226, 7310, 1738, 3830, 9498, 27764, 268, 10695, 267, 6574, 1455, 3815, 540, 476, 1321, 543, 476, 2568, 267, 24275, 5276, 3830, 538, 28162, 563, 15542, 1681, 959, 30796, 338, 609, 14776, 2042, 1379, 2798, 267, 14921, 23481, 338, 609, 27764, 476, 8660, 267, 962, 337, 279, 13004, 2259, 563, 307, 328, 476, 8660, 875, 547, 1265, 14584, 540, 13392, 3830 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2745, 6060, 18425, 1181, 564, 692, 16557, 18425, 1181, 564, 815, 4950, 23962, 263, 514, 1181, 564, 5334, 32497, 994, 2745, 6060, 18425, 1181, 564, 692, 329, 984, 5334, 15384, 8351, 815, 6151, 17750, 2891, 6701, 596, 13854, 609, 707, 4876, 286, 1684, 596, 899, 707, 2816, 286, 11146, 26260, 622, 270, 9288, 327, 5602, 28744, 2816, 23962, 27203, 984, 5334, 15384, 8351, 2020, 16557, 19553, 984, 815, 2816, 23962, 27203, 984, 5334, 15384, 8351, 994, 2745, 6060, 19553, 984, 692, 339, 17687, 815, 6151, 17750, 2891, 4517, 6368, 1862, 1692, 1082, 5232, 22966, 3780, 568, 3544, 286, 1411, 917, 621, 6927, 32405, 28744, 2837, 23962, 6025, 17687, 2020, 16557, 4671, 17687, 815, 2837, 23962, 6025, 17687, 994, 2745, 6060, 4671, 17687, 692, 16557, 815, 6060, 318, 720, 1341, 6060, 6958, 321, 1341, 6060, 6958, 13637, 1341, 6060, 318, 1372, 611, 6050, 1341, 6060, 8548, 2292, 1341, 6060, 10734, 639, 1341, 6060, 18425, 1181, 564, 1341, 6060, 19553, 984, 1341, 6060, 4671, 17687, 454, 14310, 815, 5173, 318, 1260, 14658, 640, 263, 16557, 994, 2745, 6060, 454, 2745, 1267, 7531, 258, 5814, 30220, 454, 258, 323, 520, 8135, 815, 30220, 6155, 520, 8135, 269, 852, 454, 258, 1372, 611, 6050, 815, 6151, 17750, 2891, 2710, 596, 723, 513, 21120, 513, 2889, 2286, 286, 8786, 270, 5591, 8442, 1366, 955, 8894, 258, 332, 1170, 539, 10734, 1380, 525, 815, 6151, 17750, 2891, 2710, 596, 1419, 2196, 1310, 519, 1668, 543, 4413, 621, 19037, 286, 8786, 270, 5591, 8442, 1366, 955, 454, 258, 332, 2292, 815, 6151, 17750, 2891, 1692, 1454, 2724, 798, 596, 723, 538, 707, 4871, 2272, 8119, 264, 1366, 734, 8894, 258, 329, 984, 815, 22373, 331, 8221, 621, 2580, 834, 327, 908, 621, 2580, 834, 18484, 1405, 917, 19312, 1366, 955, 454, 258, 26967, 8548, 20047, 815, 6151, 17750, 2891, 1692, 1082, 1920, 2818, 798, 596, 723, 8119, 264, 1366, 955, 8894, 258, 339, 17687, 815, 6151, 17750, 2891, 1692, 1082, 5232, 22966, 3780, 568, 3544, 286, 5602, 258, 514, 1181, 564, 5334, 32497, 815, 6151, 17750, 2891, 6701, 596, 6126, 609, 707, 4950, 3432, 8119, 264, 1366, 955, 454, 258, 293, 289, 6958, 12188, 815, 6151, 17750, 2891, 1692, 1082, 674, 289, 2828, 798, 596, 723, 8119, 264, 2411, 454, 258, 2017, 318, 720, 815, 6151, 17750, 2891, 1692, 2025, 616, 596, 8119, 264, 2411, 955, 7531, 258, 604, 21852, 2652, 834, 5591, 13426, 258, 825, 21852, 815, 8771, 454, 0, 12163, 2690, 606, 10288, 1592, 267, 23030, 9612, 666, 581, 1031, 454, 20701, 3698, 9352, 15507, 27845, 633, 5416, 8217, 267, 6221, 2187, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 5416, 8217, 994, 825, 1336, 815, 8771, 692, 825, 1247, 1101, 10922, 2063, 543, 711, 1336, 912, 1038, 30268, 815, 630, 14140, 1341, 2063, 264, 12262, 476, 273, 454, 1038, 952, 513, 8217, 314, 13232, 4812, 316, 2652, 6221, 912, 2018, 1336, 815, 6936, 454, 1038, 3116, 912, 2018, 952, 6221, 2999, 513, 8217, 314, 13232, 4812, 14158, 3546, 2063, 815, 30268, 910, 476, 272, 454, 2018, 3116, 912, 3546, 1101, 815, 30268, 1341, 476, 272, 454, 825, 2132, 1336, 692, 3698, 9352, 15507, 296, 614, 566, 5416, 8217, 267, 6221, 2187, 825, 952, 7003, 5416, 8217, 264, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 30268, 815, 7003, 5416, 8217, 264, 12262, 476, 273, 454, 1038, 952, 513, 8217, 314, 13232, 4812, 316, 2652, 6221, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 952, 6221, 2999, 513, 8217, 314, 13232, 4812, 14158, 3546, 2132, 9352, 15507, 296, 614, 566, 5416, 8217, 11468, 13232, 4812, 3910, 6221, 994, 2018, 3116, 912, 3546, 2132, 9352, 15507, 296, 614, 566, 5416, 8217, 314, 13232, 4812, 266, 272, 281, 3910, 6221, 994, 0, 3698, 2656, 31374, 5416, 8217, 2187, 825, 2656, 31374, 13900, 704, 5416, 8217, 267, 476, 271, 267, 7003, 5416, 8217, 9984, 272, 2020, 3698, 2656, 31374, 13900, 704, 5416, 8217, 267, 1101, 267, 2063, 2187, 825, 952, 1101, 2999, 2063, 912, 1038, 8237, 318, 4812, 815, 15652, 5416, 8217, 267, 1101, 267, 2063, 2020, 1038, 2656, 31374, 13900, 704, 5416, 8217, 267, 1101, 267, 8237, 318, 4812, 268, 272, 994, 1038, 2656, 31374, 13900, 704, 5416, 8217, 267, 8237, 318, 4812, 266, 272, 267, 2063, 2020, 3698, 15652, 5416, 8217, 267, 1101, 267, 2063, 2187, 825, 22141, 815, 513, 8217, 314, 14140, 6540, 825, 2451, 318, 5658, 815, 1101, 1341, 476, 272, 454, 825, 1318, 318, 5658, 815, 2063, 454, 825, 2944, 815, 8771, 692, 825, 1247, 711, 2944, 912, 1038, 1247, 2451, 318, 5658, 10922, 1318, 318, 5658, 543, 513, 8217, 314, 3847, 318, 5658, 316, 10922, 22141, 912, 2018, 2451, 318, 5658, 6834, 476, 272, 454, 1038, 1247, 1318, 318, 5658, 13843, 2451, 318, 5658, 543, 513, 8217, 314, 2431, 318, 5658, 316, 13843, 22141, 912, 2018, 1318, 318, 5658, 20699, 476, 272, 692, 1038, 952, 1318, 318, 5658, 2999, 2451, 318, 5658, 912, 2018, 2944, 815, 6936, 454, 1038, 3116, 912, 2018, 513, 8217, 314, 3847, 318, 5658, 3910, 513, 8217, 314, 2431, 318, 5658, 316, 815, 513, 8217, 314, 2431, 318, 5658, 3910, 513, 8217, 314, 3847, 318, 5658, 6540, 825, 513, 8217, 314, 14140, 3910, 513, 8217, 314, 2431, 318, 5658, 316, 815, 513, 8217, 314, 2431, 318, 5658, 3910, 513, 8217, 314, 14140, 2639, 825, 2132, 1318, 318, 5658, 692, 3698, 1292, 10031, 825, 1449, 8217, 815, 1496, 7918, 267, 476, 2918, 267, 476, 11152, 267, 476, 1704, 267, 476, 6507, 267, 476, 4029, 267, 476, 4510, 267, 476, 4649, 267, 476, 736, 2639, 825, 2656, 31374, 6025, 652, 8217, 994, 825, 1820, 6025, 652, 8217, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 1477, 3698, 1292, 28399, 825, 1003, 815, 703, 9272, 2891, 12133, 513, 1297, 281, 834, 17903, 825, 30458, 815, 1496, 15947, 825, 737, 284, 273, 1477, 825, 1247, 1003, 285, 272, 6769, 1038, 952, 1003, 4939, 737, 2652, 271, 6769, 2018, 30458, 6910, 17347, 3418, 2018, 1003, 815, 1003, 1315, 737, 1477, 1038, 3116, 281, 21506, 2018, 737, 23785, 272, 1477, 825, 1820, 17338, 320, 3418, 672, 5897, 5897, 5897, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 6769, 825, 1292, 3890, 0, 5897, 3698, 1292, 28399, 825, 546, 714, 542, 9222, 815, 27835, 320, 9166, 262, 345, 3299, 1412, 321, 9166, 262, 344, 12887, 322, 9166, 262, 343, 12887, 323, 9166, 262, 342, 12887, 324, 9166, 262, 341, 12887, 325, 9166, 262, 340, 12887, 326, 9166, 262, 339, 12887, 327, 9166, 262, 338, 12887, 328, 9166, 262, 337, 12887, 329, 9166, 262, 336, 12887, 330, 9166, 262, 335, 12887, 331, 9166, 262, 334, 12887, 332, 9166, 262, 333, 12887, 333, 9166, 262, 332, 12887, 334, 9166, 262, 331, 12887, 335, 9166, 262, 330, 12887, 336, 9166, 262, 329, 12887, 337, 9166, 262, 328, 12887, 338, 9166, 262, 327, 3299, 1477, 825, 1412, 339, 9166, 262, 326, 12887, 340, 9166, 262, 325, 12887, 341, 9166, 262, 324, 12887, 342, 9166, 262, 323, 12887, 343, 9166, 262, 322, 12887, 344, 9166, 262, 321, 12887, 345, 9166, 262, 320, 262, 348, 1477, 825, 31575, 284, 3403, 2891, 12133, 519, 5048, 834, 3418, 825, 5048, 815, 31575, 31573, 14052, 825, 759, 284, 3269, 1477, 825, 585, 1775, 538, 5048, 6769, 1038, 952, 1775, 2652, 1412, 1412, 6769, 2018, 759, 266, 8782, 1412, 1477, 1038, 3116, 6769, 2018, 759, 23785, 323, 714, 542, 9222, 5157, 15947, 825, 1820, 263, 637, 3418, 5897, 24653, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 6769, 825, 1292, 3890, 0, 5814, 5569, 1477, 5814, 4351, 5897, 4289, 320, 815, 1496, 15947, 1721, 9041, 538, 2039, 263, 271, 267, 1911, 8029, 825, 1247, 6936, 6769, 1038, 2012, 284, 3269, 1477, 1038, 737, 25716, 1477, 1038, 585, 9041, 538, 2039, 263, 271, 267, 273, 8029, 2018, 2012, 23785, 12690, 26716, 4069, 30415, 269, 30913, 328, 318, 6269, 27664, 3418, 1038, 585, 9041, 538, 2039, 263, 271, 267, 274, 8029, 2018, 2012, 23785, 1598, 263, 12690, 27110, 263, 272, 267, 280, 17903, 1038, 585, 1714, 538, 30458, 6769, 2018, 952, 2012, 2652, 1714, 6769, 3546, 737, 18989, 1477, 1038, 952, 737, 2652, 8771, 6769, 2018, 2736, 1477, 825, 30458, 6910, 28442, 3418, 2745, 17338, 320, 264, 0, 18743, 815, 2715, 257, 294, 9899, 257, 290, 14824, 290, 9899, 257, 294, 14824, 307, 9899, 257, 288, 14824, 288, 9899, 257, 308, 257, 348, 1477, 3698, 1292, 28399, 825, 31252, 815, 3403, 2891, 6358, 513, 31252, 18843, 834, 3418, 825, 678, 3534, 284, 3269, 1477, 825, 585, 4251, 538, 31252, 6769, 1038, 678, 3534, 23785, 18743, 19559, 1075, 269, 21639, 3890, 15947, 825, 1820, 16868, 3534, 3418, 24653, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 3890, 0, 288, 272, 815, 10581, 9272, 3488, 14707, 924, 711, 320, 589, 272, 281, 29125, 303, 272, 815, 10581, 9272, 3488, 14707, 924, 711, 320, 623, 272, 281, 29125, 288, 273, 815, 10581, 9272, 3488, 14707, 924, 711, 320, 589, 273, 281, 29125, 303, 273, 815, 10581, 9272, 3488, 14707, 924, 711, 320, 623, 273, 281, 10807, 9239, 3698, 711, 553, 10490, 272, 267, 623, 272, 267, 589, 273, 267, 623, 273, 2187, 825, 26240, 334, 318, 288, 272, 284, 273, 454, 825, 26240, 334, 318, 303, 272, 284, 275, 454, 825, 26240, 334, 318, 288, 273, 284, 274, 454, 825, 26240, 334, 318, 303, 273, 284, 274, 22562, 825, 692, 2745, 3488, 288, 272, 284, 3299, 589, 272, 267, 1412, 303, 272, 284, 3299, 623, 272, 267, 1412, 288, 273, 284, 3299, 589, 273, 267, 1412, 303, 273, 284, 3299, 623, 273, 2020, 3698, 631, 293, 29687, 272, 267, 631, 273, 267, 631, 274, 267, 631, 275, 2187, 825, 631, 272, 815, 589, 272, 265, 273, 454, 825, 631, 273, 815, 623, 272, 265, 275, 454, 825, 631, 274, 815, 589, 273, 265, 274, 454, 825, 631, 275, 815, 623, 273, 265, 274, 454, 825, 631, 293, 815, 630, 300, 272, 1341, 631, 273, 1341, 631, 274, 1341, 631, 275, 8358, 1015, 454, 825, 2132, 631, 293, 7531, 672, 692, 0, 26611, 23591, 24800, 270, 7090, 5897, 19399, 19399, 2971, 7462, 1477, 258, 1477, 258, 8191, 6769, 258, 1477, 258, 590, 1415, 330, 2764, 630, 338, 534, 13463, 978, 3917, 328, 6879, 340, 287, 14321, 2593, 3418, 258, 1477, 258, 11261, 2813, 6769, 258, 1477, 258, 476, 272, 5437, 476, 1001, 274, 1477, 258, 1477, 258, 14472, 531, 785, 1966, 6769, 258, 1477, 258, 634, 19159, 6363, 8718, 7844, 540, 18726, 3220, 3424, 1477, 258, 1477, 258, 9717, 281, 15474, 9981, 715, 630, 301, 27045, 278, 1070, 544, 630, 332, 27045, 273, 301, 1070, 575, 630, 326, 27045, 277, 264, 543, 737, 630, 330, 27045, 273, 301, 1040, 1477, 258, 1477, 258, 17776, 281, 634, 5506, 602, 538, 513, 2551, 540, 715, 9733, 1355, 2043, 21506, 258, 1363, 7620, 28429, 544, 12215, 540, 513, 8789, 27446, 267, 649, 786, 21506, 258, 1363, 7747, 1310, 575, 5481, 693, 2547, 737, 12215, 540, 513, 12424, 633, 21506, 258, 1363, 27446, 269, 27539, 519, 19159, 6363, 8718, 2203, 23228, 258, 1477, 258, 26402, 6769, 258, 21506, 258, 9226, 654, 293, 13270, 18258, 1496, 19152, 11711, 15947, 258, 1477, 19399, 19399, 2971, 7462, 5897, 5814, 19523, 1477, 5814, 2979, 1477, 5228, 1085, 27251, 14714, 1846, 6155, 626, 1026, 1903, 1104, 10822, 558, 5897, 3698, 1224, 18316, 9272, 18316, 8029, 825, 535, 815, 1930, 9272, 18316, 3418, 825, 6151, 17750, 815, 535, 18667, 1467, 14052, 825, 535, 25379, 14052, 825, 2132, 6151, 17750, 5897, 3698, 654, 293, 13270, 18217, 31599, 267, 326, 267, 330, 8029, 825, 15981, 1477, 825, 634, 5506, 602, 538, 513, 2551, 540, 715, 9733, 1355, 2043, 7620, 21506, 825, 28429, 544, 12215, 540, 513, 8789, 27446, 267, 649, 786, 7747, 1310, 575, 21506, 825, 5481, 693, 2547, 737, 12215, 540, 513, 12424, 633, 27446, 269, 27539, 519, 21506, 825, 19159, 6363, 8718, 2203, 23228, 825, 15981, 1477, 825, 533, 815, 10581, 9852, 19422, 273, 265, 301, 3418, 825, 7117, 815, 476, 272, 1790, 1477, 825, 27652, 815, 10822, 558, 6983, 4206, 17347, 19885, 28872, 3418, 825, 2132, 476, 5897, 3698, 5442, 17584, 3799, 267, 330, 28872, 8029, 825, 15981, 1477, 825, 519, 5506, 540, 2616, 908, 693, 2547, 737, 1412, 21650, 262, 538, 476, 273, 333, 8062, 1477, 825, 15981, 1477, 825, 27652, 815, 10822, 558, 6983, 4206, 17347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4100, 4297, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 10797, 258, 15279, 6311, 293, 18097, 271, 660, 318, 639, 274, 318, 3333, 541, 274, 338, 9078, 1731, 274, 318, 7474, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3698, 1039, 3287, 11971, 2187, 825, 1990, 815, 1535, 20742, 454, 825, 2132, 1820, 18750, 2020, 320, 815, 476, 274, 454, 321, 815, 476, 276, 454, 322, 815, 5417, 5416, 14720, 9239, 323, 815, 476, 274, 3097, 324, 815, 273, 692, 325, 815, 5417, 5560, 267, 324, 9239, 0, 258, 1260, 1706, 2581, 12427, 692, 258, 2652, 11203, 476, 3436, 13843, 10922, 2999, 692, 344, 815, 476, 274, 454, 343, 815, 476, 276, 454, 345, 815, 476, 274, 7531, 2745, 18750, 2652, 344, 994, 2745, 18750, 283, 343, 994, 2745, 3287, 256, 284, 345, 994, 2745, 18750, 285, 343, 264, 0, 343, 815, 476, 275, 454, 344, 815, 276, 454, 345, 815, 476, 273, 7531, 604, 3287, 2652, 586, 2187, 825, 1820, 2891, 343, 543, 586, 616, 3160, 5602, 19197, 3287, 3436, 586, 2187, 825, 1820, 2891, 343, 568, 3152, 982, 586, 5602, 19197, 3287, 3436, 1990, 2187, 825, 1820, 2891, 343, 568, 3152, 982, 1990, 5602, 12828, 912, 825, 1820, 2891, 1278, 8442, 0, 343, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 6540, 454, 1721, 6221, 538, 1535, 912, 825, 1820, 263, 14403, 266, 476, 1015, 2020, 692, 0, 258, 12980, 11346, 454, 258, 1341, 910, 2608, 1315, 4939, 2878, 12262, 7531, 2745, 2891, 1372, 257, 266, 257, 1188, 5602, 2745, 263, 275, 268, 276, 994, 2745, 263, 273, 265, 274, 994, 2745, 263, 272, 270, 273, 994, 2745, 263, 273, 1262, 273, 994, 2745, 263, 278, 2260, 273, 994, 2745, 263, 278, 270, 273, 264, 1948, 15965, 728, 454, 2745, 263, 280, 260, 279, 264, 1948, 1379, 0, 258, 302, 703, 3726, 334, 3186, 324, 1982, 320, 20527, 4990, 792, 19804, 632, 844, 520, 549, 620, 684, 657, 16948, 3284, 26196, 522, 22712, 549, 780, 5228, 4351, 1104, 28219, 9792, 692, 258, 23439, 528, 632, 620, 684, 657, 16948, 6446, 688, 10937, 1502, 756, 559, 573, 1228, 632, 535, 1794, 518, 4351, 21289, 23843, 454, 531, 684, 657, 815, 1496, 6358, 2891, 14707, 924, 522, 562, 727, 798, 6305, 10098, 620, 684, 334, 257, 13211, 16875, 3403, 2891, 14707, 924, 522, 562, 727, 798, 5302, 1495, 334, 620, 684, 334, 257, 13211, 16875, 3403, 2891, 14707, 924, 522, 562, 727, 798, 1768, 576, 10098, 620, 684, 334, 257, 13211, 16875, 3403, 2891, 14707, 924, 522, 562, 727, 798, 14415, 334, 620, 684, 334, 5602, 16875, 476, 6540, 11133, 815, 28219, 9792, 263, 271, 267, 476, 274, 994, 2745, 2891, 302, 620, 684, 334, 694, 548, 322, 542, 5964, 9087, 328, 15079, 1701, 269, 8971, 263, 531, 684, 657, 314, 11133, 8079, 2020, 258, 11073, 571, 812, 324, 4275, 20527, 4412, 739, 320, 10652, 334, 717, 269, 2871, 534, 629, 4673, 454, 258, 5228, 4351, 1104, 3903, 454, 28744, 2891, 24001, 2668, 8971, 263, 577, 4069, 263, 531, 684, 657, 4917, 0, 12534, 815, 10581, 9272, 2891, 14707, 924, 19804, 562, 14243, 1067, 334, 1483, 281, 27363, 5228, 2979, 1104, 959, 15635, 454, 2745, 2891, 288, 851, 324, 703, 324, 4275, 964, 1372, 562, 14243, 1067, 334, 20527, 15079, 2668, 8971, 6025, 14725, 322, 263, 12534, 21875, 0, 258, 302, 703, 3726, 334, 798, 1982, 320, 20527, 29593, 19804, 513, 2163, 334, 632, 476, 1428, 260, 513, 334, 2892, 5451, 26369, 693, 783, 780, 12534, 815, 10581, 9272, 2891, 14707, 924, 522, 2892, 5451, 26369, 798, 30775, 542, 5451, 26369, 27363, 2745, 2891, 302, 2892, 5451, 26369, 635, 513, 2163, 334, 20527, 2715, 15545, 274, 325, 348, 2668, 8971, 263, 12534, 265, 272, 269, 1428, 4917, 0, 258, 21588, 361, 13601, 28578, 25520, 21588, 361, 13601, 27310, 4970, 492, 13161, 506, 419, 374, 379, 31968, 12255, 29004, 362, 25203, 372, 419, 511, 487, 454, 5035, 8827, 912, 825, 1219, 568, 2414, 324, 5902, 345, 30467, 4311, 267, 5119, 2187, 1038, 8173, 1038, 2433, 6943, 5119, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 678, 815, 7003, 263, 9795, 994, 1038, 524, 815, 7003, 263, 9795, 314, 271, 7481, 1038, 585, 795, 538, 2039, 6262, 2187, 2018, 585, 1775, 538, 2039, 16868, 2187, 3546, 952, 630, 329, 266, 328, 264, 283, 322, 543, 5119, 314, 271, 6012, 329, 316, 11203, 5119, 5157, 6012, 329, 266, 328, 14158, 7386, 2132, 8771, 454, 1038, 585, 1775, 538, 2039, 16868, 2187, 2018, 585, 795, 538, 2039, 6262, 2187, 3546, 952, 630, 328, 266, 329, 264, 283, 337, 543, 5119, 5157, 6012, 271, 316, 11203, 5119, 5157, 266, 329, 6012, 329, 14158, 7386, 2132, 8771, 454, 1038, 2132, 6936, 454, 0, 5035, 8827, 24998, 2187, 825, 1219, 568, 2414, 324, 5902, 345, 30467, 4311, 267, 5119, 2187, 1038, 2132, 782, 16868, 2652, 476, 271, 610, 524, 2652, 476, 271, 610, 5119, 314, 337, 268, 272, 6012, 322, 268, 272, 316, 2652, 1130, 454, 4449, 567, 585, 678, 267, 4737, 538, 26246, 263, 9795, 994, 4449, 567, 585, 524, 267, 1130, 538, 26246, 21405, 4917, 7386, 454, 825, 692, 2690, 1142, 15497, 609, 2609, 538, 1931, 513, 272, 28083, 273, 28083, 274, 267, 2507, 267, 752, 454, 267, 649, 666, 2638, 513, 272, 30381, 273, 28083, 273, 30381, 274, 267, 2507, 267, 752, 6629, 272, 284, 752, 454, 269, 634, 5119, 568, 1677, 324, 5902, 345, 952, 543, 1152, 952, 782, 540, 891, 2175, 616, 3020, 585, 782, 630, 9008, 268, 3847, 547, 5377, 28878, 264, 32377, 780, 9336, 3693, 12851, 547, 930, 15497, 267, 543, 621, 781, 3105, 3693, 630, 604, 621, 6818, 264, 568, 621, 781, 1283, 268, 3847, 7023, 269, 4935, 267, 585, 519, 4009, 630, 337, 267, 524, 1070, 649, 1152, 991, 547, 2638, 678, 2652, 476, 271, 10758, 524, 2652, 476, 271, 10758, 5119, 314, 337, 268, 272, 6012, 322, 268, 272, 316, 2652, 5119, 314, 337, 6012, 322, 14073, 692, 4467, 14658, 640, 5811, 692, 11742, 29203, 281, 744, 29687, 4501, 501, 301, 1070, 607, 3989, 538, 519, 1966, 3948, 780, 22129, 29203, 281, 744, 263, 272, 1916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 25397, 14573, 1644, 547, 9441, 9547, 267, 6278, 267, 543, 2773, 547, 15378, 519, 7145, 540, 2792, 2994, 543, 4188, 9935, 269, 3752, 7228, 3403, 689, 5234, 3823, 5551, 9283, 267, 14422, 267, 610, 7341, 780, 3528, 12561, 891, 3741, 543, 2853, 267, 3906, 666, 16637, 21603, 4497, 906, 543, 1847, 3564, 6071, 6668, 538, 2221, 781, 24360, 2053, 269, 5502, 267, 789, 786, 8853, 267, 14637, 513, 7524, 9036, 2528, 6353, 676, 13597, 267, 7279, 267, 543, 5698, 269, 3414, 18532, 543, 17519, 2792, 267, 4213, 666, 3565, 25006, 547, 6848, 8171, 1247, 16734, 741, 2407, 1761, 585, 13884, 543, 1764, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 1520, 8636, 777, 926, 344, 11535, 27659, 3279, 267, 1634, 607, 519, 9605, 590, 1069, 517, 267, 519, 17700, 3081, 602, 3388, 568, 8781, 1765, 321, 9506, 609, 519, 3595, 540, 26846, 267, 23998, 267, 1642, 4288, 267, 22408, 4900, 267, 16236, 338, 267, 561, 3512, 725, 267, 24074, 267, 543, 21817, 269, 272, 1809, 1018, 1281, 621, 1611, 711, 1152, 547, 7639, 713, 8781, 855, 547, 2661, 513, 811, 5391, 23306, 1272, 538, 513, 1158, 602, 568, 593, 3595, 286, 2755, 6867, 3814, 569, 14237, 2247, 543, 6891, 998, 2259, 543, 18956, 338, 814, 8604, 899, 1018, 1131, 581, 1034, 4829, 995, 538, 968, 3240, 892, 31135, 267, 713, 1935, 814, 538, 1249, 2451, 1932, 1082, 10007, 2150, 29354, 269, 3733, 2123, 9420, 9634, 267, 607, 1134, 607, 519, 7092, 594, 7198, 543, 993, 1071, 15926, 2869, 1807, 538, 2870, 593, 713, 4541, 267, 991, 811, 6297, 3007, 543, 2962, 269, 3733, 19802, 568, 13615, 909, 609, 16523, 267, 1200, 338, 267, 1010, 267, 741, 338, 267, 543, 23600, 269, 2368, 723, 4857, 513, 12402, 547, 1065, 816, 519, 3929, 267, 30717, 267, 2825, 267, 543, 7104, 7516, 540, 519, 1582, 998, 5289, 2259, 267, 10912, 621, 968, 338, 2869, 3770, 21271, 532, 1848, 273, 901, 3390, 1223, 711, 581, 811, 32330, 693, 513, 4090, 950, 5289, 3401, 267, 1519, 1346, 1775, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31636, 11150, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 31071, 9177, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 24531, 3776, 24306, 281, 4197, 7731, 3778, 543, 9177, 692, 8893, 20638, 281, 4841, 786, 1451, 875, 1620, 741, 1378, 1920, 781, 2250, 666, 948, 873, 5660, 1114, 4529, 543, 2081, 540, 1272, 269, 1358, 786, 2263, 519, 1523, 540, 834, 26967, 4213, 2437, 9194, 3270, 267, 543, 6237, 3604, 998, 519, 1650, 540, 2961, 1961, 10830, 267, 945, 8057, 909, 538, 2274, 697, 517, 267, 17665, 780, 7072, 281, 5994, 952, 596, 1223, 2951, 1394, 538, 942, 543, 2743, 707, 22594, 950, 789, 941, 3214, 256, 1548, 1131, 621, 581, 899, 547, 1294, 1141, 789, 4682, 547, 1153, 267, 5129, 609, 2828, 267, 610, 5249, 286, 1635, 1565, 827, 938, 3885, 262, 2250, 338, 267, 649, 666, 1732, 1174, 1946, 1004, 2661, 1141, 789, 798, 2221, 543, 875, 1114, 2694, 540, 519, 2197, 723, 8032, 741, 2729, 269, 901, 3184, 6645, 519, 4241, 1650, 540, 2961, 1961, 10830, 267, 945, 8057, 909, 538, 513, 1747, 1572, 7013, 29630, 807, 910, 1577, 781, 4685, 883, 1200, 1158, 2439, 4089, 2290, 281, 19663, 5455, 538, 9540, 16011, 3013, 454, 10111, 1961, 729, 4535, 538, 513, 2370, 4884, 1572, 2274, 697, 517, 267, 17665, 269, 4173, 1920, 1185, 1044, 2713, 972, 585, 1082, 1296, 267, 8429, 1524, 5389, 689, 835, 5108, 547, 1776, 269, 5020, 6410, 693, 513, 14887, 10605, 3379, 547, 2462, 4872, 267, 543, 3025, 8604, 547, 917, 1142, 824, 269, 2052, 596, 4952, 6972, 1524, 519, 8265, 543, 530, 3058, 32597, 547, 782, 707, 12543, 286, 2334, 781, 1175, 1018, 1272, 729, 899, 585, 2961, 1961, 1247, 3395, 909, 2439, 12244, 22830, 281, 5620, 1053, 2721, 5961, 540, 1018, 789, 1589, 513, 6093, 1554, 6743, 899, 585, 2961, 1961, 1282, 1200, 6689, 269, 11559, 5876, 543, 2307, 2055, 602, 5401, 4514, 3206, 267, 971, 607, 834, 1432, 2186, 540, 3756, 1705, 2961, 1961, 1404, 3544, 8119, 610, 834, 1692, 1522, 2961, 1961, 781, 2146, 1413, 1114, 982, 16523, 12482, 4089, 5565, 281, 7731, 24371, 543, 4518, 6599, 545, 454, 3080, 1898, 851, 540, 2961, 1961, 781, 6561, 3238, 1200, 1920, 781, 4213, 269, 1280, 1383, 267, 1200, 22516, 10443, 513, 2199, 26849, 267, 7674, 519, 2115, 540, 1010, 8284, 4961, 1169, 2582, 1554, 269, 3414, 713, 3924, 267, 646, 5280, 1832, 1004, 2635, 543, 6126, 269, 11531, 267, 2961, 1961, 781, 19033, 5249, 607, 606, 5122, 11653, 267, 8888, 1950, 1949, 602, 4547, 5201, 547, 5321, 543, 5656, 1472, 4884, 269, 1452, 11678, 2838, 2182, 960, 267, 11428, 267, 543, 7463, 1983, 1107, 1945, 602, 1500, 1312, 2961, 1961, 781, 1920, 543, 1200, 554, 32528, 10583, 780, 30206, 5999, 281, 9105, 1053, 547, 2671, 2984, 827, 1022, 1920, 4213, 610, 6009, 5293, 1524, 1369, 741, 1378, 3885, 269, 1215, 1281, 2324, 538, 513, 1920, 4123, 1764, 2576, 781, 2631, 540, 3961, 286, 6496, 4896, 1745, 4448, 547, 741, 11937, 1317, 540, 891, 3838, 22825, 2496, 4089, 8422, 281, 11374, 519, 23117, 281, 589, 6733, 693, 24779, 18963, 454, 5970, 596, 2479, 9289, 1946, 930, 3885, 1847, 2476, 689, 741, 3312, 5321, 286, 6884, 267, 1007, 3255, 8451, 11992, 267, 3056, 2043, 543, 3003, 2950, 593, 15322, 2509, 2208, 543, 1689, 269, 3807, 899, 1216, 13576, 2059, 5757, 321, 2644, 267, 1004, 1419, 1246, 10092, 2813, 676, 1866, 1354, 873, 269, 1879, 6158, 827, 2961, 1961, 781, 4282, 267, 1352, 5941, 3001, 5087, 1189, 547, 17906, 1310, 6028, 2274, 697, 517, 269, 3509, 11570, 4553, 2147, 11507, 1813, 547, 2816, 8244, 267, 2916, 7375, 267, 610, 3274, 5275, 856, 4195, 9035, 780, 11328, 5562, 11314, 281, 4635, 20612, 610, 5569, 267, 1711, 513, 1412, 332, 12568, 4786, 262, 11744, 1585, 4128, 1946, 1004, 882, 11229, 936, 942, 269, 4045, 4773, 1927, 267, 20515, 875, 3664, 1860, 2104, 4093, 543, 3350, 2066, 4525, 780, 6962, 281, 10289, 938, 5072, 2337, 721, 9787, 519, 2956, 540, 2686, 4763, 543, 519, 2189, 7907, 602, 3337, 1367, 10034, 267, 2829, 267, 543, 1256, 6082, 269, 1284, 949, 2097, 689, 1114, 4025, 267, 855, 12423, 1455, 16060, 1063, 6000, 543, 1866, 2636, 721, 547, 1106, 6793, 4296, 543, 1020, 6568, 585, 1346, 4171, 2729, 8428, 7494, 689, 23600, 269, 1306, 649, 3136, 1565, 811, 827, 2961, 1961, 10830, 781, 3460, 267, 2015, 4687, 707, 1378, 1920, 781, 1650, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8512, 658, 3690, 5296, 281, 28514, 267, 30610, 267, 1250, 2012, 568, 19626, 2806, 321, 2714, 11219, 600, 625, 517, 543, 594, 993, 5967, 532, 2961, 1961, 10830, 538, 1200, 1753, 538, 12653, 325, 4181, 4011, 334, 267, 17906, 563, 306, 1122, 618, 14271, 18462, 281, 10830, 11828, 3395, 909, 538, 2274, 697, 517, 267, 17665, 267, 513, 1507, 4884, 1200, 1920, 1185, 5030, 538, 585, 5481, 269, 2701, 12909, 827, 1200, 1920, 1686, 543, 1200, 2833, 3395, 909, 538, 1018, 1352, 6257, 607, 7013, 29630, 807, 269, 10830, 8843, 519, 23909, 543, 4213, 799, 941, 11262, 543, 13234, 676, 1200, 1920, 267, 1519, 1200, 22516, 779, 26849, 543, 1200, 4651, 779, 960, 607, 606, 5122, 11653, 563, 21292, 281, 7731, 4213, 282, 24779, 282, 8828, 29630, 1014, 2528, 282, 8828, 9194, 3270, 454, 20428, 338, 281, 29630, 1014, 16323, 282, 29630, 1014, 16323, 734, 306, 4822, 282, 19974, 282, 7216, 6689, 2069, 282, 15379, 4702, 282, 19198, 282, 7731, 12583, 282, 7731, 24804, 1870, 16904, 282, 2274, 697, 517, 630, 2704, 320, 4700, 282, 17906, 5211, 454, 8512, 658, 3690, 5296, 281, 1924, 596, 21783, 538, 562, 31106, 24239, 734, 454, 306, 1122, 618, 14271, 18462, 281, 10830, 31061, 4271, 908, 1164, 1153, 538, 476, 3422, 272, 543, 1287, 11504, 589, 889, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 10748, 1466, 910, 589, 6206, 27100, 538, 5398, 24935, 543, 16594, 5675, 692, 8893, 20638, 281, 4841, 786, 1174, 875, 7421, 741, 5304, 2337, 873, 4739, 2500, 18531, 827, 2021, 781, 2924, 780, 7072, 281, 5620, 596, 2479, 5143, 513, 1650, 547, 835, 1895, 540, 2828, 855, 1185, 547, 1689, 930, 2694, 950, 10213, 519, 1482, 1650, 547, 1776, 1895, 286, 901, 4523, 1317, 1142, 1895, 814, 922, 2189, 4690, 267, 4978, 267, 543, 10080, 269, 1879, 6340, 610, 1603, 267, 6616, 945, 707, 5304, 568, 2306, 513, 5458, 3017, 256, 4653, 267, 649, 786, 2263, 1946, 1620, 938, 5304, 6927, 267, 2523, 950, 7234, 1271, 3584, 899, 2021, 781, 2924, 780, 8512, 594, 281, 1548, 1772, 1323, 10748, 1466, 888, 5331, 3054, 4758, 513, 4633, 269, 5808, 1131, 581, 6947, 547, 596, 286, 2659, 15032, 286, 14268, 286, 11334, 286, 1452, 1004, 1118, 909, 707, 5304, 9789, 1895, 540, 2043, 7247, 596, 1616, 547, 1217, 267, 22321, 267, 610, 7038, 998, 707, 1913, 269, 18833, 707, 5304, 2636, 596, 547, 3442, 1175, 519, 1318, 1893, 267, 2984, 267, 543, 5013, 547, 1205, 707, 1448, 2066, 3927, 780, 12244, 281, 3503, 1524, 1614, 4162, 540, 707, 6093, 4928, 5304, 630, 9987, 281, 2085, 267, 3446, 1377, 267, 5172, 5396, 1040, 3767, 1589, 827, 1018, 789, 1522, 2907, 917, 827, 2021, 781, 2924, 267, 952, 4376, 693, 782, 269, 1215, 1223, 713, 1344, 948, 596, 6430, 799, 3344, 540, 2021, 781, 2924, 547, 1445, 593, 1282, 513, 6881, 286, 9181, 609, 513, 7649, 780, 8512, 4083, 281, 4208, 6496, 10748, 1466, 17460, 538, 6468, 781, 7126, 12983, 888, 28097, 532, 2021, 781, 2924, 3340, 6297, 7156, 540, 707, 19700, 2094, 891, 3584, 4125, 3309, 5380, 1759, 593, 2528, 267, 4984, 267, 2123, 2833, 267, 543, 6848, 8155, 269, 1635, 6313, 707, 5304, 267, 596, 666, 3313, 1761, 16752, 543, 20887, 543, 1287, 2232, 1346, 4145, 30082, 780, 7078, 281, 5994, 596, 723, 1079, 9458, 281, 8284, 1647, 30595, 5288, 269, 4079, 11504, 513, 2146, 5870, 269, 1411, 949, 991, 547, 2491, 2474, 899, 834, 325, 655, 24452, 257, 8335, 4470, 593, 519, 5304, 269, 1280, 7820, 1053, 267, 4766, 22158, 607, 8165, 585, 3160, 3255, 1063, 8695, 543, 6690, 269, 1809, 585, 4079, 267, 5490, 4514, 883, 28622, 543, 824, 13857, 3344, 540, 519, 3350, 780, 12244, 281, 7994, 835, 540, 519, 1739, 2021, 781, 2924, 3584, 281, 3160, 2628, 267, 1569, 547, 2069, 267, 610, 10285, 1072, 269, 19147, 883, 1507, 2516, 543, 16540, 2081, 547, 3082, 707, 4901, 2798, 1759, 593, 519, 1383, 5304, 9183, 5018, 4505, 630, 332, 1497, 1153, 9905, 5288, 269, 2937, 2146, 2818, 1040, 9523, 4681, 609, 519, 2898, 1362, 780, 8512, 8633, 281, 18430, 532, 9978, 10748, 1466, 5811, 454, 22860, 4506, 707, 5304, 3322, 6998, 1883, 2055, 1354, 8600, 707, 4633, 1384, 265, 5808, 993, 594, 6158, 547, 286, 6333, 22097, 267, 3838, 2418, 267, 543, 1455, 1702, 563, 265, 1548, 798, 789, 3494, 827, 1250, 1888, 286, 4165, 4602, 622, 6876, 610, 24895, 563, 265, 4208, 1281, 1250, 5048, 2339, 547, 873, 286, 5269, 4296, 1063, 707, 1888, 543, 741, 2729, 563, 265, 1215, 1454, 1469, 798, 789, 2154, 286, 11154, 6988, 9935, 780, 3528, 16460, 891, 2055, 267, 596, 2327, 707, 4633, 24889, 609, 707, 19700, 543, 31267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 12235, 267, 1688, 1628, 543, 17001, 269, 594, 899, 5786, 20590, 543, 3595, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 27207, 585, 5753, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 7170, 281, 4197, 543, 18601, 8693, 7827, 2598, 10293, 538, 7087, 18877, 692, 272, 269, 6258, 827, 2916, 1689, 12761, 281, 3399, 676, 1620, 1018, 2916, 1689, 12761, 1797, 269, 898, 4016, 547, 519, 32246, 3350, 540, 1004, 945, 616, 7142, 547, 4734, 741, 5321, 1813, 547, 6727, 610, 16795, 2825, 2242, 267, 971, 607, 4262, 1377, 4473, 267, 9390, 2305, 267, 610, 3665, 4365, 2621, 269, 901, 7613, 25409, 5540, 6805, 2950, 267, 945, 1419, 2661, 538, 2127, 3226, 7925, 547, 891, 2242, 563, 273, 269, 25506, 519, 3140, 2796, 281, 1677, 1174, 2916, 1689, 12761, 538, 6805, 2950, 267, 621, 568, 2629, 547, 11760, 519, 9371, 540, 17091, 543, 922, 5571, 1764, 593, 6805, 9082, 262, 2244, 2924, 267, 24454, 267, 543, 2686, 2853, 269, 20616, 1143, 814, 2451, 11972, 3889, 540, 8635, 602, 3136, 547, 8589, 1125, 6805, 5095, 267, 1818, 873, 811, 11630, 547, 2916, 1689, 5222, 543, 1447, 2111, 547, 3082, 563, 274, 269, 31385, 1699, 2665, 540, 2916, 1689, 12761, 1851, 6805, 2950, 281, 25800, 3054, 609, 1483, 8996, 1806, 540, 2916, 1689, 12761, 7133, 6805, 2516, 269, 1280, 3236, 267, 538, 519, 7414, 11866, 267, 8375, 4262, 2157, 21279, 3003, 6532, 6082, 282, 1247, 538, 519, 11848, 267, 13621, 7989, 2378, 15543, 4229, 6805, 2950, 547, 882, 11229, 269, 1452, 8320, 5031, 519, 14849, 991, 547, 2232, 2916, 1689, 12761, 543, 922, 19635, 2360, 593, 6805, 5095, 563, 275, 269, 21302, 834, 335, 4048, 15122, 3435, 9899, 25826, 27581, 31544, 3435, 6069, 547, 10994, 2916, 1689, 9194, 543, 2708, 2436, 789, 28511, 4540, 16526, 269, 3955, 5766, 622, 519, 1909, 540, 5375, 7060, 543, 2518, 5238, 538, 5935, 6114, 547, 2916, 1689, 12761, 269, 6333, 4244, 4485, 602, 4225, 6805, 1582, 24148, 267, 2757, 1702, 267, 543, 2146, 21445, 9542, 2994, 563, 276, 269, 8081, 6805, 21445, 7341, 281, 5917, 11229, 585, 4507, 543, 3292, 602, 7668, 6805, 2950, 547, 1291, 741, 1378, 9542, 3646, 269, 11559, 6608, 543, 3906, 547, 9772, 513, 1480, 2924, 2861, 1935, 602, 17767, 519, 7104, 2924, 540, 6805, 9082, 547, 741, 3338, 267, 11182, 267, 543, 2200, 269, 901, 2882, 5009, 1863, 267, 1991, 267, 543, 5483, 9844, 950, 7598, 2916, 1689, 17846, 543, 9542, 3800, 563, 277, 269, 2549, 680, 1518, 6805, 9739, 281, 19415, 547, 543, 24244, 519, 5380, 540, 6805, 3401, 267, 5640, 267, 543, 15628, 2324, 593, 2916, 1689, 2152, 269, 4256, 4030, 666, 1683, 3407, 5583, 593, 5466, 2916, 1689, 12761, 1247, 18245, 6805, 16285, 543, 2528, 269, 1635, 1298, 1359, 6805, 9739, 267, 649, 666, 4161, 8789, 6386, 1472, 2916, 1689, 543, 1628, 811, 12581, 3435, 563, 278, 269, 11622, 622, 2066, 5322, 281, 4045, 609, 824, 1514, 5126, 5322, 267, 971, 607, 1346, 5059, 593, 28160, 1436, 267, 27540, 2924, 267, 543, 2825, 5126, 267, 547, 1020, 3838, 989, 31789, 543, 7794, 17604, 269, 8490, 24816, 1063, 1114, 9620, 666, 948, 1711, 11528, 1689, 543, 2327, 602, 1100, 835, 568, 2451, 3297, 538, 519, 3068, 540, 2916, 1689, 563, 279, 269, 3447, 622, 1866, 593, 2916, 1689, 12761, 538, 6805, 2950, 281, 9523, 707, 1702, 609, 2828, 267, 1920, 267, 9164, 267, 543, 14519, 269, 14780, 1047, 4656, 827, 519, 2189, 2591, 5185, 676, 6805, 9082, 4299, 676, 2916, 1689, 12761, 543, 12167, 585, 1175, 543, 8537, 6114, 269, 8625, 267, 649, 666, 3565, 547, 513, 811, 4264, 543, 12581, 2104, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 814, 2916, 1689, 1831, 513, 3354, 3390, 286, 2983, 19212, 2826, 339, 1415, 2725, 577, 2946, 13187, 602, 4207, 32370, 827, 2916, 1689, 15076, 556, 691, 545, 3634, 7810, 1379, 998, 3486, 3354, 269, 3414, 11042, 609, 3354, 543, 1646, 4966, 267, 1200, 1382, 8761, 875, 519, 865, 10777, 968, 335, 4048, 15122, 3435, 892, 547, 2916, 1689, 9194, 22652, 2916, 1689, 21440, 563, 2690, 713, 5967, 267, 27813, 12025, 330, 267, 19336, 779, 12474, 4354, 1807, 267, 4280, 2725, 577, 2946, 827, 1200, 8521, 5765, 2376, 538, 1715, 2983, 13132, 689, 519, 12370, 23958, 3427, 540, 5071, 267, 799, 15109, 875, 4274, 3137, 540, 2916, 9194, 556, 1740, 519, 1310, 331, 1161, 540, 10504, 538, 519, 4639, 3979, 15223, 3559, 267, 606, 1858, 536, 867, 1359, 519, 7013, 6316, 540, 519, 19300, 4673, 267, 15198, 689, 7354, 20235, 543, 24381, 11939, 807, 538, 519, 4639, 547, 932, 611, 538, 519, 5101, 563, 300, 3663, 2946, 568, 606, 19608, 7905, 540, 7025, 5525, 543, 10500, 559, 7007, 20513, 538, 3163, 543, 5303, 5525, 693, 13879, 5441, 269, 2701, 12236, 1200, 12854, 538, 17323, 689, 17459, 20588, 269, 4173, 960, 814, 7902, 538, 11110, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 29378, 4149, 9116, 2401, 9534, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 4937, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 8791, 476, 27843, 540, 519, 29407, 2920, 281, 589, 18043, 22410, 540, 13363, 687, 543, 744, 4565, 580, 725, 585, 4841, 609, 24894, 692, 7072, 692, 1103, 519, 2136, 2276, 267, 972, 6818, 513, 1950, 3656, 5943, 2966, 547, 2149, 519, 2924, 540, 2043, 609, 9124, 267, 1519, 1346, 11504, 15597, 14102, 3506, 269, 2290, 971, 4062, 540, 9086, 568, 8791, 476, 27843, 540, 519, 29407, 2920, 630, 21865, 3274, 5219, 547, 607, 834, 4089, 476, 27843, 19823, 21892, 538, 476, 3192, 274, 267, 799, 10238, 1080, 7130, 1996, 7606, 609, 9124, 676, 23700, 540, 5313, 2883, 6351, 269, 901, 2882, 1857, 10026, 543, 6281, 3506, 8391, 7616, 689, 519, 772, 2529, 269, 4972, 540, 4065, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1808, 20038, 6488, 539, 896, 8791, 476, 27843, 267, 4983, 519, 13800, 13684, 2390, 3506, 267, 543, 2263, 875, 891, 6042, 12969, 609, 4207, 2152, 4478, 9659, 22581, 543, 10333, 269, 1635, 6313, 4143, 2013, 1876, 267, 11889, 5583, 267, 543, 4052, 3156, 267, 596, 786, 2744, 513, 9488, 1620, 540, 519, 1909, 540, 8791, 476, 27843, 538, 5935, 8537, 1565, 5054, 585, 1053, 609, 9124, 780, 8139, 8791, 476, 27843, 692, 2414, 2253, 938, 6514, 267, 1577, 721, 1101, 5581, 1018, 13054, 513, 1268, 609, 513, 9659, 896, 8791, 476, 27843, 269, 4340, 547, 519, 7939, 267, 606, 1367, 609, 513, 9659, 568, 2576, 945, 814, 513, 2168, 610, 2790, 15717, 602, 15186, 7182, 835, 610, 811, 2101, 1272, 2238, 267, 814, 513, 2594, 540, 971, 606, 15717, 267, 610, 568, 9833, 607, 2348, 971, 606, 15717, 269, 11683, 1272, 2238, 1331, 3252, 971, 607, 12391, 585, 13951, 267, 7900, 8261, 4247, 267, 6972, 267, 7487, 267, 6217, 267, 6340, 267, 7244, 267, 1565, 267, 543, 2324, 269, 898, 568, 1271, 547, 4063, 602, 25046, 896, 8791, 476, 27843, 11498, 3564, 21904, 4988, 896, 519, 15706, 609, 24894, 4065, 2920, 630, 2839, 12788, 1070, 2495, 930, 1053, 949, 20618, 585, 4027, 896, 8791, 476, 27843, 1510, 5870, 9517, 12788, 7355, 780, 27802, 656, 658, 7799, 14591, 543, 30785, 6452, 7951, 725, 692, 23338, 547, 4180, 3160, 4316, 585, 1053, 609, 9124, 896, 8791, 476, 27843, 568, 7114, 8101, 7687, 543, 3246, 3617, 22581, 269, 12140, 1590, 4497, 538, 606, 6268, 1184, 547, 3313, 2436, 513, 2875, 10742, 519, 4214, 540, 16981, 896, 519, 957, 269, 4495, 4857, 267, 3506, 616, 2838, 547, 1683, 2556, 22581, 547, 2327, 3160, 1569, 547, 3872, 3255, 269, 1452, 22581, 1522, 4125, 12381, 547, 14292, 2409, 267, 6437, 14624, 267, 2825, 11941, 267, 610, 24045, 11226, 543, 2533, 269, 1280, 1383, 267, 513, 11617, 15176, 2875, 949, 2154, 4217, 633, 2029, 899, 5496, 3988, 610, 1804, 1820, 2326, 282, 513, 2875, 609, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 1522, 4324, 689, 6905, 942, 593, 4255, 610, 4776, 22460, 27939, 269, 634, 1883, 3815, 1934, 568, 602, 891, 22581, 798, 711, 21739, 7369, 519, 2470, 540, 519, 1982, 610, 2534, 1373, 6035, 282, 2864, 267, 789, 4894, 7496, 547, 1450, 2407, 7589, 780, 5319, 7593, 31469, 543, 3816, 12203, 692, 2026, 5018, 4505, 267, 20286, 10246, 3101, 8791, 476, 27843, 19374, 666, 581, 19429, 609, 519, 772, 2529, 269, 4972, 540, 4065, 781, 8433, 585, 6406, 7126, 630, 8016, 305, 1040, 16270, 2256, 18967, 540, 513, 24255, 267, 744, 10135, 4384, 919, 606, 7634, 547, 3313, 2436, 519, 18579, 540, 5313, 2883, 6351, 814, 8959, 547, 16783, 609, 922, 562, 1180, 4593, 19303, 13800, 269, 1403, 1875, 1260, 20869, 568, 1336, 267, 744, 10135, 1568, 29050, 609, 519, 9872, 547, 3914, 513, 6571, 6876, 24152, 3268, 547, 3035, 10220, 269, 9701, 17319, 3800, 6961, 13385, 267, 744, 10135, 15387, 519, 6392, 547, 2165, 3729, 610, 2569, 5313, 7616, 269, 3958, 267, 4357, 6105, 949, 3142, 9290, 896, 8791, 476, 27843, 5275, 3614, 9417, 633, 8323, 267, 9104, 2218, 14796, 267, 543, 27192, 262, 12375, 780, 11328, 7611, 1275, 543, 7351, 12983, 692, 32382, 519, 10167, 1063, 5198, 267, 4008, 267, 4638, 10066, 267, 14227, 4567, 267, 543, 824, 3961, 12508, 2417, 635, 27289, 6927, 950, 5466, 9659, 2924, 538, 3506, 269, 3194, 6920, 602, 1053, 609, 9124, 689, 12790, 2950, 1419, 3068, 3606, 7496, 547, 10014, 543, 4081, 1967, 1813, 547, 11528, 31716, 10419, 18050, 998, 2111, 1143, 267, 10168, 267, 3023, 1143, 267, 543, 824, 3029, 540, 15746, 269, 18601, 891, 7623, 532, 2188, 3340, 18532, 3646, 547, 5431, 543, 2699, 816, 1379, 20817, 1247, 5807, 5963, 12581, 1565, 5624, 269, 5015, 267, 6932, 3584, 971, 607, 5778, 323, 1751, 543, 1582, 14194, 22106, 2329, 7668, 1053, 609, 9124, 547, 8362, 7119, 538, 8159, 741, 1378, 22098, 2115, 543, 7700, 547, 6626, 7391, 1472, 13784, 780, 6962, 692, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 1585, 3344, 540, 8791, 476, 27843, 540, 519, 29407, 2920, 267, 27283, 1312, 519, 20038, 3177, 585, 1053, 609, 9124, 543, 519, 9021, 5116, 2390, 3506, 8391, 5313, 7616, 269, 1306, 2486, 5170, 9687, 2509, 3152, 10343, 543, 11812, 540, 4763, 267, 621, 3587, 5051, 2565, 602, 7855, 2611, 5483, 543, 14942, 538, 2870, 8537, 13460, 1141, 1169, 15226, 7959, 12595, 267, 15197, 267, 543, 6462, 269, 1635, 8508, 519, 3741, 22993, 538, 8791, 476, 27843, 267, 649, 6536, 711, 1152, 4081, 2208, 855, 849, 2123, 1646, 543, 1514, 22122, 1851, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 5130, 476, 274, 267, 476, 1001, 272, 454, 6701, 20274, 781, 6348, 1260, 680, 5050, 3427, 5940, 12230, 15329, 908, 6406, 7126, 16572, 888, 302, 18925, 1857, 3506, 602, 29875, 519, 3540, 2924, 540, 1053, 1981, 9561, 5313, 2069, 7482, 267, 772, 2529, 269, 4972, 540, 4065, 4013, 13343, 4858, 1091, 24849, 5143, 7167, 20738, 6826, 520, 10498, 5063, 563, 6546, 1344, 949, 581, 540, 1880, 1719, 547, 15156, 540, 267, 543, 3885, 609, 267, 2027, 16250, 2644, 1153, 18244, 9789, 18689, 25808, 540, 513, 1007, 1533, 1876, 5497, 547, 2087, 741, 3872, 3681, 269, 2755, 1533, 2724, 568, 3238, 538, 519, 1007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 8009, 538, 519, 2823, 540, 570, 2086, 4815, 267, 519, 13535, 1068, 320, 15189, 547, 2285, 9547, 547, 519, 1977, 9206, 267, 1977, 10136, 13026, 7638, 659, 745, 345, 630, 19688, 476, 4489, 275, 1040, 634, 13535, 1068, 320, 1185, 547, 29997, 543, 4734, 6792, 269, 1879, 519, 1977, 20314, 550, 17355, 18050, 7638, 659, 745, 345, 538, 5437, 476, 4489, 275, 267, 519, 1158, 2112, 1185, 2907, 986, 3022, 585, 2185, 3275, 563, 4913, 267, 519, 1249, 3788, 602, 519, 968, 18872, 1966, 892, 568, 5051, 2921, 593, 3197, 540, 1880, 23473, 543, 8904, 563, 1103, 1249, 267, 621, 568, 2312, 602, 267, 2094, 519, 2527, 540, 27740, 525, 2760, 5795, 519, 1655, 3068, 547, 8942, 547, 1291, 873, 1394, 547, 4000, 547, 4163, 856, 513, 3935, 1944, 2962, 538, 1018, 1223, 2408, 547, 581, 741, 2067, 1604, 267, 519, 4527, 540, 713, 17736, 545, 6681, 12102, 540, 2681, 4564, 513, 3978, 21677, 269, 547, 519, 5250, 540, 6803, 9322, 269, 634, 1034, 1455, 6644, 538, 519, 2136, 2276, 568, 602, 27740, 525, 616, 538, 1100, 1259, 15849, 559, 762, 267, 2901, 9308, 610, 6457, 1302, 610, 25432, 269, 1215, 1454, 5168, 568, 972, 538, 713, 6644, 267, 5219, 547, 1934, 538, 922, 1034, 6207, 1106, 267, 621, 568, 1360, 2352, 547, 3715, 267, 849, 1317, 930, 540, 519, 5013, 602, 616, 11855, 538, 1489, 540, 621, 267, 616, 538, 1249, 267, 610, 666, 581, 2808, 267, 538, 2490, 607, 513, 1267, 540, 519, 10072, 538, 799, 27740, 525, 723, 1279, 1044, 6854, 269, 1656, 593, 519, 824, 1688, 621, 6818, 1851, 519, 562, 580, 7970, 2933, 267, 811, 610, 1447, 6829, 610, 24353, 267, 513, 24895, 281, 2094, 267, 4535, 543, 13473, 538, 519, 2136, 2276, 1141, 789, 616, 711, 267, 14553, 6340, 267, 1447, 968, 785, 4246, 892, 982, 513, 1360, 1804, 1297, 540, 1733, 2572, 267, 789, 4866, 547, 1977, 10340, 267, 543, 741, 1360, 4162, 1107, 585, 552, 3052, 1421, 538, 18691, 267, 538, 2575, 267, 3092, 269, 1107, 789, 3100, 547, 4266, 1394, 1100, 2417, 982, 519, 7810, 1974, 269, 634, 22657, 568, 16618, 267, 1256, 952, 676, 4960, 1945, 3470, 1161, 538, 2575, 267, 538, 1978, 22530, 25875, 4978, 610, 9821, 267, 538, 519, 12705, 1464, 543, 8897, 609, 799, 22530, 1431, 616, 711, 1152, 4607, 855, 10299, 267, 1927, 609, 2984, 543, 8964, 269, 1809, 267, 2523, 538, 519, 3345, 267, 519, 27740, 1107, 899, 11082, 267, 2523, 4358, 689, 519, 2034, 5108, 1107, 621, 3362, 25309, 519, 2609, 540, 519, 10340, 538, 519, 22984, 540, 799, 621, 2729, 543, 11148, 1107, 849, 607, 513, 1267, 540, 513, 811, 610, 1447, 6857, 4743, 540, 741, 27166, 1107, 547, 14883, 547, 519, 1259, 540, 1272, 540, 519, 1733, 2572, 267, 543, 547, 708, 10028, 873, 269, 1809, 593, 519, 824, 1688, 267, 513, 12402, 814, 7153, 267, 2523, 1851, 1978, 2516, 540, 968, 842, 21526, 338, 5608, 547, 1118, 10072, 3294, 513, 3196, 267, 547, 5706, 519, 1604, 267, 547, 1106, 543, 605, 8010, 519, 6228, 540, 513, 968, 15869, 25903, 5608, 799, 2337, 873, 547, 2611, 8087, 538, 519, 6560, 585, 519, 21037, 540, 1007, 2924, 543, 1732, 2713, 2175, 269, 901, 6941, 267, 1851, 824, 1919, 267, 875, 519, 3401, 540, 519, 27740, 3350, 5051, 2119, 547, 708, 10028, 519, 2409, 543, 1949, 540, 18259, 602, 8604, 547, 4866, 547, 519, 1362, 6560, 563, 4002, 519, 824, 1688, 267, 1851, 1733, 2572, 267, 8369, 616, 7839, 602, 789, 4043, 547, 1459, 27740, 525, 607, 606, 17071, 5198, 267, 6923, 543, 23366, 24835, 762, 540, 1140, 8724, 513, 1164, 4110, 540, 10340, 269, 9747, 519, 15784, 543, 10462, 267, 1256, 1851, 6662, 5640, 630, 553, 513, 12343, 540, 519, 20317, 540, 5963, 6325, 1344, 543, 711, 25302, 676, 26608, 8526, 538, 1022, 2631, 264, 593, 519, 3152, 610, 14758, 7607, 540, 27740, 4074, 281, 891, 616, 13556, 689, 942, 547, 942, 607, 4600, 27823, 267, 3500, 267, 15877, 538, 4987, 543, 11036, 267, 2935, 1229, 267, 711, 14047, 783, 282, 543, 607, 30190, 267, 3742, 267, 30190, 267, 5676, 1441, 593, 513, 1612, 267, 952, 711, 811, 865, 267, 982, 519, 3043, 4600, 540, 1585, 6803, 2516, 269, 9747, 267, 849, 267, 824, 27900, 543, 24604, 827, 519, 13919, 540, 27740, 525, 267, 945, 616, 3622, 15034, 540, 9306, 513, 1454, 3152, 6760, 267, 2523, 538, 6935, 547, 10963, 602, 4125, 3152, 791, 6160, 4369, 543, 7553, 1275, 543, 1447, 9542, 547, 519, 2115, 540, 1514, 30398, 269, 634, 1239, 1107, 32047, 711, 1360, 2347, 6862, 1813, 547, 8449, 1434, 2959, 1107, 4043, 547, 1397, 602, 519, 6871, 540, 18486, 267, 26722, 543, 23948, 730, 568, 267, 1851, 27740, 525, 267, 1454, 2362, 982, 1851, 1733, 2572, 269, 1809, 621, 814, 849, 1044, 4767, 602, 2366, 14939, 2188, 957, 593, 1312, 10654, 338, 267, 31710, 543, 19585, 31710, 267, 519, 1034, 1271, 540, 799, 568, 519, 10182, 540, 519, 1733, 2572, 2933, 2509, 519, 27740, 525, 282, 543, 602, 4061, 519, 2139, 1239, 1450, 1152, 547, 3715, 602, 968, 1492, 27740, 267, 607, 513, 1514, 1895, 267, 2501, 883, 3346, 609, 519, 7803, 5126, 811, 1419, 982, 519, 6519, 282, 855, 2436, 610, 711, 646, 568, 811, 32592, 550, 621, 568, 7543, 547, 7682, 609, 1022, 4110, 540, 22979, 892, 630, 774, 269, 590, 749, 514, 1040, 898, 568, 849, 2556, 547, 1832, 538, 2247, 519, 7613, 540, 519, 3844, 1436, 540, 27740, 525, 538, 519, 4872, 267, 538, 513, 1007, 1604, 543, 547, 799, 9542, 568, 711, 2141, 2653, 269, 1306, 585, 519, 2069, 540, 519, 27740, 525, 267, 621, 1058, 711, 581, 16618, 1101, 540, 782, 602, 1282, 519, 10553, 1974, 621, 729, 3592, 4625, 15877, 281, 1585, 2829, 267, 971, 607, 3162, 10491, 2094, 476, 14690, 271, 267, 11908, 630, 26238, 476, 10082, 271, 264, 543, 14967, 267, 17665, 267, 9098, 267, 3345, 10491, 543, 16713, 630, 24992, 476, 9264, 274, 543, 476, 7277, 278, 264, 5293, 4031, 1996, 519, 2069, 540, 27740, 525, 267, 1247, 1869, 824, 2829, 630, 298, 550, 13806, 267, 26609, 267, 15930, 267, 13325, 267, 11882, 264, 3908, 519, 1318, 547, 7390, 1153, 547, 16543, 1152, 269, 1857, 269, 5047, 267, 1256, 538, 1715, 3840, 543, 12425, 538, 519, 2540, 269, 2473, 309, 7656, 519, 1906, 3506, 585, 27740, 525, 941, 4357, 543, 7361, 10480, 676, 17493, 267, 23243, 2933, 538, 713, 2534, 267, 607, 538, 3388, 602, 1223, 3565, 547, 5355, 519, 2783, 540, 519, 27740, 525, 267, 2523, 519, 2372, 5474, 269, 901, 1533, 540, 12602, 6941, 875, 519, 6608, 540, 519, 865, 10777, 968, 3725, 18586, 892, 6170, 18304, 19018, 622, 547, 741, 2883, 19206, 593, 3506, 269, 1809, 1869, 538, 476, 6642, 271, 519, 2192, 3438, 919, 941, 827, 476, 736, 260, 281, 2094, 1287, 1390, 3356, 814, 1044, 1500, 282, 2705, 267, 2523, 538, 930, 2829, 267, 519, 2069, 540, 27740, 525, 1869, 3762, 1945, 547, 581, 5551, 267, 607, 1134, 607, 519, 6871, 540, 1453, 11504, 3506, 3788, 1970, 281, 538, 713, 2463, 267, 3379, 547, 1733, 2572, 267, 27740, 525, 616, 827, 8938, 1296, 3297, 269, 634, 19018, 568, 1256, 3152, 585, 1647, 543, 1164, 3506, 269, 769, 2489, 267, 649, 4063, 267, 2523, 585, 1647, 3506, 267, 513, 1978, 17071, 640, 540, 27740, 10453, 3379, 547, 1733, 2572, 267, 543, 1107, 538, 519, 7187, 2829, 1107, 540, 27740, 525, 689, 519, 3162, 538, 6476, 609, 1346, 4535, 538, 519, 3345, 282, 713, 949, 4061, 4096, 267, 909, 547, 513, 1978, 1448, 267, 593, 519, 1447, 2500, 10026, 2069, 2016, 538, 519, 3162, 267, 1141, 3506, 585, 27740, 525, 616, 17077, 543, 3622, 723, 14605, 6976, 3610, 543, 267, 593, 519, 2898, 267, 540, 2864, 1970, 7214, 1377, 543, 3318, 7041, 269, 1306, 585, 519, 4987, 540, 27740, 525, 267, 2523, 1346, 945, 7390, 3506, 267, 606, 3801, 729, 1500, 547, 3715, 741, 3328, 1377, 609, 1585, 13753, 267, 7311, 519, 1062, 540, 4255, 269, 634, 2409, 267, 741, 4052, 3498, 267, 543, 4061, 519, 2164, 1419, 2408, 30940, 282, 18562, 621, 3112, 581, 6456, 602, 689, 3592, 782, 519, 13753, 267, 5103, 519, 3099, 540, 2409, 267, 7355, 267, 2055, 4280, 267, 3092, 1421, 519, 27740, 525, 7902, 593, 519, 2898, 547, 581, 17071, 547, 519, 1733, 2572, 282, 4352, 538, 930, 2665, 789, 616, 849, 3160, 2164, 267, 543, 3006, 1346, 4535, 543, 13473, 538, 519, 2749, 1397, 2933, 9120, 547, 519, 1733, 2572, 540, 519, 24781, 563, 2005, 4061, 4667, 602, 519, 7682, 687, 540, 606, 6207, 2470, 827, 519, 968, 11499, 892, 17071, 640, 267, 610, 26027, 267, 540, 519, 27740, 525, 538, 6476, 609, 519, 1733, 2572, 267, 865, 2484, 1491, 1932, 2370, 2272, 540, 519, 2825, 3693, 543, 267, 538, 2110, 267, 540, 1686, 269, 634, 2956, 540, 713, 3815, 568, 10423, 267, 10502, 950, 649, 2015, 519, 2168, 267, 6211, 2460, 540, 519, 1966, 269, 631, 297, 670, 619, 28325, 1080, 779, 1382, 814, 3964, 602, 711, 1152, 616, 27740, 4892, 519, 18939, 540, 27740, 525, 10362, 547, 1114, 3979, 6803, 2516, 267, 855, 602, 972, 814, 1044, 513, 2178, 8098, 4869, 675, 711, 1152, 540, 3043, 1973, 267, 855, 849, 540, 3127, 282, 865, 602, 968, 332, 4869, 675, 540, 782, 14797, 1107, 3979, 267, 24272, 22057, 267, 27245, 1355, 1107, 519, 1977, 27740, 6799, 606, 1383, 540, 513, 4241, 5198, 585, 519, 16159, 6100, 3767, 267, 519, 16320, 16967, 6248, 1239, 1397, 602, 519, 1977, 27740, 525, 13822, 513, 9985, 24267, 1895, 267, 538, 519, 2631, 602, 789, 723, 2539, 13260, 17523, 982, 1346, 540, 824, 10236, 10999, 1134, 20452, 2516, 269, 634, 1977, 27740, 585, 1034, 540, 519, 30717, 3197, 26328, 606, 13591, 2990, 1063, 519, 25939, 540, 519, 4095, 12677, 543, 3864, 5095, 267, 593, 519, 835, 1688, 267, 543, 519, 3979, 3283, 267, 593, 519, 824, 269, 4340, 547, 670, 619, 28325, 1080, 267, 713, 1131, 581, 10502, 1813, 547, 519, 2175, 540, 10072, 540, 519, 27740, 525, 267, 945, 1131, 1100, 3476, 723, 1044, 16271, 547, 519, 791, 3789, 540, 3043, 610, 4095, 1973, 281, 4061, 519, 17478, 1131, 723, 5280, 547, 19597, 622, 543, 7520, 519, 5250, 540, 519, 968, 2908, 27740, 27535, 4171, 10236, 1670, 4162, 267, 6508, 689, 1585, 14797, 267, 789, 1131, 4061, 711, 3274, 581, 5104, 868, 777, 2216, 547, 1142, 824, 267, 855, 5916, 609, 1142, 824, 269, 667, 2048, 593, 519, 824, 1688, 670, 619, 28325, 1080, 5128, 4967, 602, 930, 540, 519, 4162, 540, 519, 27740, 616, 1454, 1447, 14733, 538, 513, 1880, 3126, 540, 3800, 267, 3144, 1851, 811, 13473, 543, 14547, 1004, 538, 519, 27740, 4099, 540, 31222, 630, 6124, 3840, 4975, 1070, 799, 4061, 616, 6251, 547, 6519, 1547, 1656, 849, 538, 12311, 26204, 621, 568, 7074, 602, 7363, 519, 27740, 23297, 513, 14402, 11954, 27379, 281, 538, 2110, 267, 519, 27740, 23119, 519, 16007, 543, 11148, 547, 14883, 547, 519, 2203, 540, 3043, 269, 2201, 519, 824, 1688, 267, 519, 1474, 520, 1670, 3604, 849, 5330, 547, 3604, 538, 519, 26715, 598, 4146, 540, 4835, 8219, 267, 543, 6211, 267, 12214, 543, 27690, 3604, 269, 3245, 2090, 676, 681, 269, 23421, 543, 681, 289, 2142, 534, 621, 1131, 2408, 602, 27740, 525, 723, 519, 13796, 27914, 540, 519, 2634, 540, 513, 1114, 3337, 543, 4130, 982, 1733, 2572, 282, 543, 849, 5634, 616, 519, 838, 22220, 543, 6797, 269, 1809, 849, 519, 27740, 525, 2746, 8335, 547, 3676, 689, 519, 1733, 2572, 281, 538, 1880, 267, 519, 9019, 689, 2860, 543, 23872, 12970, 4667, 547, 581, 3152, 1851, 519, 27740, 525, 267, 799, 1851, 873, 1131, 1397, 513, 1880, 12402, 547, 2199, 1125, 2933, 538, 519, 9667, 1062, 538, 519, 6797, 543, 18558, 267, 1851, 9038, 267, 543, 538, 519, 8219, 540, 12093, 267, 1851, 8951, 282, 2362, 9019, 689, 3676, 540, 519, 7929, 1062, 630, 514, 1880, 267, 27740, 525, 3100, 547, 581, 2523, 12155, 547, 21061, 5148, 9019, 689, 32411, 568, 849, 1360, 1164, 282, 14758, 267, 2705, 267, 982, 1851, 519, 1733, 2572, 267, 585, 824, 1860, 687, 269, 1809, 267, 538, 2489, 267, 519, 7254, 3202, 2175, 540, 519, 27740, 525, 616, 1454, 8338, 982, 1346, 540, 519, 1733, 2572, 281, 799, 814, 3366, 930, 547, 9959, 602, 519, 27740, 568, 1447, 11259, 547, 2068, 269, 1809, 519, 1249, 568, 602, 519, 9019, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3506, 616, 519, 1297, 835, 8502, 540, 2790, 1072, 2533, 547, 1453, 543, 10708, 267, 865, 7334, 4566, 585, 713, 1153, 1032, 949, 4734, 1776, 7934, 585, 938, 1034, 7925, 1053, 269, 1677, 948, 2673, 602, 543, 824, 2009, 10616, 267, 649, 723, 2813, 519, 12020, 585, 519, 8921, 16453, 693, 3427, 7591, 1504, 267, 513, 3391, 585, 2069, 3401, 547, 1489, 519, 2168, 543, 3929, 1072, 540, 1053, 267, 3610, 267, 543, 1153, 5234, 563, 1432, 666, 3237, 798, 547, 948, 741, 1453, 5965, 585, 519, 4947, 1153, 1032, 286, 2060, 519, 1699, 10006, 538, 5046, 268, 866, 2665, 267, 1082, 13102, 616, 4098, 610, 723, 13175, 519, 1153, 1032, 20716, 269, 1306, 3237, 543, 1920, 2818, 5885, 938, 3214, 267, 594, 2303, 596, 2119, 547, 798, 707, 1655, 547, 1174, 707, 1153, 8664, 779, 4566, 543, 2671, 707, 13922, 267, 12194, 267, 543, 4145, 609, 11967, 5234, 865, 596, 666, 960, 1927, 547, 2232, 873, 269, 1403, 596, 917, 602, 707, 8664, 779, 1544, 786, 711, 960, 585, 707, 1126, 267, 621, 779, 1271, 602, 789, 5873, 621, 269, 4746, 267, 1305, 10853, 6788, 585, 3054, 543, 707, 1453, 2443, 3314, 713, 568, 513, 2261, 25070, 267, 711, 513, 838, 11781, 269, 5269, 4566, 585, 1585, 20314, 4293, 267, 543, 2697, 1920, 267, 2828, 267, 543, 824, 1004, 945, 666, 1489, 596, 543, 707, 1920, 952, 596, 991, 948, 269, 1656, 979, 2653, 593, 3054, 543, 707, 3214, 269, 898, 779, 15502, 711, 547, 581, 15502, 2336, 1432, 666, 3237, 798, 547, 1489, 741, 1453, 779, 2790, 1072, 286, 5753, 786, 4163, 519, 2360, 540, 8194, 609, 873, 607, 789, 2132, 547, 1565, 267, 543, 789, 786, 581, 10123, 4299, 676, 8726, 1007, 2833, 1118, 909, 519, 1007, 3339, 538, 741, 18375, 269, 898, 779, 1360, 1271, 602, 1312, 3885, 543, 7855, 2628, 2673, 3007, 547, 519, 4664, 540, 1453, 547, 948, 873, 11883, 1282, 713, 13778, 942, 540, 1689, 543, 17522, 269, 898, 779, 1271, 547, 1577, 707, 1453, 917, 602, 789, 666, 2671, 741, 4606, 609, 596, 269, 634, 811, 596, 3339, 1125, 513, 1126, 781, 4606, 267, 519, 811, 14388, 707, 1126, 786, 581, 950, 519, 4606, 2097, 269, 5753, 1419, 1491, 741, 3929, 10291, 689, 1271, 4079, 899, 3237, 543, 3610, 267, 865, 621, 568, 1271, 602, 4079, 4383, 741, 1378, 4664, 1134, 267, 6432, 547, 1453, 779, 4145, 267, 3717, 24963, 267, 543, 15260, 675, 873, 269, 2334, 1767, 267, 952, 707, 1453, 7198, 596, 7680, 2182, 4606, 267, 602, 568, 15502, 2443, 1175, 581, 9237, 609, 873, 543, 26924, 873, 602, 1927, 267, 596, 786, 1205, 998, 713, 269, 2913, 873, 917, 602, 693, 2053, 899, 713, 267, 4606, 899, 10845, 610, 18354, 616, 2067, 563, 2252, 596, 2461, 3168, 585, 3606, 1489, 267, 1865, 707, 4145, 609, 707, 12963, 1014, 865, 602, 596, 666, 1711, 513, 1416, 1544, 602, 10742, 707, 1126, 779, 1367, 2115, 269, 0, 763, 1826, 540, 715, 4817, 9633, 585, 11452, 568, 606, 715, 4817, 6711, 1807, 269, 589, 6711, 1807, 568, 513, 3926, 602, 7161, 23197, 5536, 689, 10024, 519, 9224, 543, 5023, 269, 715, 4817, 6711, 2209, 6882, 856, 476, 4817, 2600, 540, 782, 23197, 5536, 267, 1519, 1507, 5536, 543, 1804, 20256, 563, 763, 715, 4817, 9633, 568, 2966, 547, 1683, 5021, 4027, 1996, 23197, 5536, 543, 568, 14468, 676, 519, 2817, 4659, 585, 27706, 8881, 543, 2657, 630, 25712, 5308, 295, 1040, 715, 4817, 6711, 2209, 666, 849, 581, 1031, 538, 3782, 5468, 950, 12391, 585, 2550, 609, 606, 11763, 2068, 267, 971, 607, 519, 11452, 630, 26542, 268, 866, 1916, 2005, 568, 1271, 547, 4063, 602, 715, 4817, 6711, 2209, 616, 711, 11259, 547, 3282, 267, 2495, 789, 616, 1152, 2500, 952, 519, 23197, 5536, 616, 711, 522, 1176, 269, 898, 568, 1271, 547, 4063, 602, 1247, 715, 4817, 13968, 949, 581, 2500, 538, 7303, 519, 6771, 540, 519, 11452, 267, 789, 798, 711, 1683, 2347, 4027, 1996, 519, 3644, 543, 1058, 581, 1031, 538, 14966, 609, 824, 15324, 3800, 971, 607, 7928, 1688, 11067, 267, 1514, 26865, 543, 9319, 2673, 3346, 609, 1346, 945, 616, 7783, 563, 1432, 568, 519, 3017, 1063, 715, 4817, 543, 918, 301, 4817, 13968, 585, 13044, 888, 763, 7887, 3017, 1063, 715, 4817, 543, 918, 301, 4817, 13968, 585, 13044, 568, 602, 715, 4817, 13968, 616, 519, 2475, 3044, 585, 6711, 1807, 13968, 267, 1247, 918, 301, 4817, 13968, 616, 519, 4457, 3044, 585, 13968, 269, 2755, 621, 568, 2009, 585, 519, 1079, 8747, 547, 581, 14475, 547, 2147, 2157, 540, 4027, 267, 519, 1454, 2362, 4441, 540, 519, 715, 4817, 9633, 1611, 602, 621, 786, 1683, 3648, 3152, 4027, 689, 1507, 9325, 20851, 11169, 267, 799, 616, 519, 3119, 1259, 602, 13044, 268, 866, 19082, 563, 301, 4817, 13968, 1590, 2743, 610, 9765, 4441, 1305, 676, 519, 2475, 2817, 4659, 585, 27706, 8881, 543, 2657, 630, 25712, 5308, 295, 1070, 1247, 918, 301, 4817, 13968, 1590, 2743, 519, 4457, 2229, 779, 4441, 269, 5637, 13968, 1590, 1780, 4255, 547, 581, 14468, 607, 6711, 1807, 13968, 543, 1590, 1683, 693, 2547, 476, 4817, 260, 4027, 1996, 5536, 540, 513, 1978, 2450, 563, 1103, 1840, 267, 715, 4817, 13968, 616, 7318, 543, 14468, 676, 519, 2475, 15544, 585, 8376, 6513, 630, 24922, 264, 543, 519, 15111, 267, 1247, 918, 301, 4817, 13968, 949, 581, 14468, 676, 2199, 9431, 4703, 563, 4913, 267, 1813, 547, 519, 2799, 3747, 585, 715, 4817, 13968, 267, 543, 519, 1249, 602, 824, 2477, 1223, 711, 1832, 909, 609, 519, 2504, 540, 741, 1378, 8747, 267, 811, 543, 811, 2477, 543, 3906, 3323, 547, 946, 918, 301, 4817, 13968, 607, 606, 11807, 4244, 563, 6624, 10506, 543, 824, 3782, 3906, 723, 3323, 547, 3398, 519, 946, 540, 918, 301, 4817, 13968, 3079, 540, 519, 811, 4122, 1031, 715, 4817, 13968, 269, 4014, 972, 616, 1869, 930, 3604, 1063, 519, 1079, 13968, 267, 789, 3622, 1683, 2147, 2157, 540, 4027, 689, 13044, 268, 866, 563, 6701, 476, 274, 332, 715, 4817, 13968, 1434, 585, 13044, 888, 8133, 267, 476, 274, 300, 715, 4817, 13968, 616, 1634, 547, 581, 2500, 538, 4543, 547, 2061, 519, 3262, 540, 13044, 268, 866, 269, 634, 715, 4817, 13968, 616, 2966, 547, 6882, 856, 693, 2547, 476, 4817, 260, 540, 5536, 21092, 476, 271, 269, 476, 274, 8020, 6425, 610, 3677, 538, 8006, 267, 799, 2882, 519, 20256, 1336, 538, 519, 2011, 8876, 519, 3644, 563, 763, 3514, 540, 519, 9633, 568, 849, 1271, 267, 609, 476, 274, 300, 5356, 1896, 6163, 540, 715, 4817, 13968, 602, 4183, 28253, 2269, 1186, 267, 606, 608, 15595, 566, 11896, 267, 24302, 16845, 9224, 17371, 543, 2212, 27512, 547, 948, 1832, 519, 9633, 538, 1747, 563, 301, 4817, 13968, 666, 849, 948, 2149, 519, 649, 13145, 689, 7244, 538, 5536, 602, 949, 2270, 519, 3644, 2094, 519, 5934, 2450, 540, 519, 5536, 22012, 856, 568, 476, 271, 269, 476, 274, 8020, 6425, 269, 3958, 267, 476, 274, 300, 13968, 616, 7318, 585, 519, 2702, 547, 6882, 856, 513, 5934, 476, 4817, 260, 540, 5536, 267, 799, 568, 519, 5227, 3044, 585, 4027, 1996, 13044, 268, 866, 563, 1432, 476, 274, 300, 13968, 616, 9516, 585, 5046, 888, 274, 300, 814, 1044, 513, 2101, 16073, 540, 3068, 13968, 543, 6711, 2209, 1282, 519, 5046, 268, 866, 6855, 543, 3091, 513, 3099, 540, 9516, 13968, 585, 5046, 268, 866, 4027, 269, 1452, 13968, 1331, 519, 476, 274, 300, 12814, 476, 5908, 271, 267, 476, 274, 300, 12814, 476, 6942, 271, 31956, 476, 274, 300, 12814, 476, 279, 736, 276, 543, 476, 274, 300, 12814, 476, 279, 2641, 271, 715, 4817, 13968, 267, 607, 1134, 607, 519, 476, 274, 300, 12814, 589, 3120, 12814, 476, 280, 736, 276, 31956, 476, 274, 300, 12814, 966, 293, 2716, 12814, 476, 5197, 276, 270, 5908, 271, 266, 543, 476, 274, 300, 12814, 6481, 3487, 545, 3634, 1763, 2869, 2209, 563, 763, 476, 274, 300, 12814, 476, 5908, 271, 9633, 568, 513, 715, 4817, 6711, 1807, 10023, 519, 2754, 779, 31601, 15346, 10046, 12814, 11896, 2029, 267, 799, 2337, 6882, 856, 476, 4817, 260, 540, 1507, 5536, 543, 2488, 513, 6899, 3514, 269, 634, 476, 274, 300, 12814, 476, 6942, 271, 266, 568, 606, 715, 4817, 1072, 1416, 28634, 6711, 1807, 543, 10551, 9633, 10023, 519, 2754, 779, 11628, 5082, 15543, 1738, 9012, 2029, 267, 799, 12086, 856, 476, 4817, 260, 540, 23197, 5536, 563, 763, 476, 274, 300, 12814, 476, 279, 736, 276, 543, 476, 274, 300, 12814, 476, 279, 2641, 271, 4866, 547, 519, 715, 4817, 1826, 540, 13968, 2966, 547, 6882, 856, 476, 4817, 260, 540, 1875, 268, 11798, 1759, 23197, 5536, 269, 634, 476, 274, 300, 12814, 589, 3120, 12814, 476, 280, 736, 276, 266, 568, 513, 674, 17025, 273, 1072, 1416, 28634, 6711, 1807, 543, 10551, 9633, 609, 606, 4359, 1614, 1790, 534, 601, 1374, 543, 6899, 31289, 532, 9224, 17371, 563, 763, 476, 274, 300, 12814, 966, 293, 2716, 12814, 476, 5197, 276, 270, 5908, 271, 266, 568, 513, 25551, 19003, 3068, 12328, 6711, 1807, 543, 3091, 2500, 4027, 1996, 1875, 268, 11798, 20851, 11169, 267, 607, 1134, 607, 23197, 5536, 269, 7053, 267, 519, 476, 274, 300, 12814, 6481, 3487, 545, 3634, 1763, 2869, 1807, 568, 513, 2189, 543, 17426, 3070, 585, 1072, 1416, 4600, 563, 2005, 568, 2966, 547, 948, 2149, 519, 649, 13145, 689, 4598, 547, 1507, 10194, 5536, 267, 4543, 547, 2569, 519, 3262, 540, 3968, 563, 4692, 715, 4817, 13968, 581, 32419, 888, 8133, 267, 715, 4817, 13968, 666, 581, 32419, 607, 1279, 607, 789, 616, 711, 1471, 4601, 3037, 539, 610, 8697, 543, 789, 723, 711, 1044, 1031, 538, 606, 1604, 1141, 12526, 2157, 616, 1164, 269, 769, 1931, 547, 798, 865, 3927, 267, 621, 568, 15695, 602, 519, 9633, 1058, 581, 21149, 539, 1063, 3096, 563, 1607, 666, 581, 2944, 998, 11067, 609, 12853, 344, 3905, 1216, 543, 2011, 15018, 519, 9633, 267, 610, 676, 1210, 513, 11158, 24846, 6500, 269, 898, 568, 849, 1271, 547, 4558, 519, 9633, 538, 513, 2973, 543, 3819, 1747, 267, 971, 607, 513, 1957, 9126, 267, 1063, 3096, 563, 2691, 556, 6748, 519, 9633, 267, 621, 568, 1271, 547, 2638, 602, 782, 519, 2269, 1186, 616, 538, 1747, 543, 602, 513, 2347, 13021, 568, 9738, 547, 519, 3068, 269, 1403, 519, 9633, 814, 1044, 8697, 538, 1022, 1259, 267, 621, 1058, 581, 26356, 540, 5612, 543, 711, 32419, 563, 4692, 596, 19074, 513, 918, 301, 4817, 610, 715, 4817, 9633, 888, 8133, 267, 621, 568, 2009, 547, 19074, 513, 918, 301, 4817, 610, 715, 4817, 9633, 269, 1717, 267, 621, 568, 1271, 547, 2327, 602, 519, 13968, 616, 5265, 24846, 1242, 1063, 3096, 269, 1677, 2327, 5021, 4027, 543, 2061, 519, 3262, 540, 17900, 543, 4551, 267, 2043, 1058, 2760, 946, 513, 9633, 811, 982, 2899, 1510, 24846, 1944, 621, 1101, 563, 1103, 14363, 24846, 1436, 949, 1267, 538, 519, 9633, 4742, 1447, 2500, 543, 1223, 7654, 1291, 547, 519, 3262, 540, 17900, 610, 4551, 563, 1103, 2489, 267, 621, 568, 1655, 547, 5265, 26565, 540, 513, 1031, 9633, 543, 5372, 621, 609, 513, 1007, 835, 269, 898, 568, 19624, 547, 1832, 513, 1906, 3063, 13968, 593, 1688, 865, 602, 519, 3593, 568, 2141, 9280, 609, 513, 2973, 835, 269, 1677, 5265, 24846, 1125, 513, 1031, 9633, 267, 519, 1739, 3268, 1058, 581, 3144, 912, 3721, 476, 272, 281, 2598, 17126, 519, 3544, 543, 3330, 540, 519, 9633, 269, 22911, 513, 2973, 12308, 609, 513, 21149, 656, 543, 26763, 1524, 519, 6418, 543, 9018, 2694, 540, 519, 9633, 563, 3721, 476, 273, 281, 16959, 519, 9633, 609, 513, 2973, 24621, 269, 2991, 530, 31441, 1524, 519, 9633, 609, 519, 12308, 267, 946, 513, 2973, 543, 3819, 24621, 547, 2327, 602, 782, 540, 519, 7509, 568, 6569, 563, 3721, 476, 274, 281, 23203, 519, 2973, 543, 3819, 9633, 269, 3550, 602, 519, 9224, 8115, 568, 18172, 538, 1747, 865, 602, 519, 9633, 13352, 5265, 543, 602, 621, 6227, 519, 9224, 543, 24060, 2127, 4625, 563, 3721, 476, 275, 281, 15188, 519, 9633, 5265, 269, 5901, 519, 9633, 538, 513, 2973, 267, 20177, 5068, 9126, 610, 8708, 602, 568, 6740, 2476, 689, 2127, 602, 949, 1831, 13572, 563, 3528, 1739, 891, 3268, 267, 513, 1031, 918, 301, 4817, 610, 715, 4817, 9633, 666, 581, 9108, 543, 5265, 32419, 1247, 1869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 343, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 2639, 1721, 476, 1775, 538, 2039, 630, 271, 267, 6352, 3287, 15892, 13537, 3287, 5157, 7481, 332, 698, 5974, 815, 9131, 531, 823, 12887, 2041, 13154, 12887, 335, 1251, 12887, 3333, 527, 23300, 1721, 513, 538, 4012, 5974, 912, 13537, 5416, 994, 1721, 476, 513, 538, 4012, 5974, 912, 13537, 5416, 26644, 3890, 266, 257, 7474, 729, 513, 1390, 8945, 5602, 13537, 5416, 269, 21639, 3890, 266, 257, 921, 848, 798, 519, 1985, 8945, 1775, 666, 1405, 7227, 14826, 5602, 534, 7769, 284, 9131, 13906, 12887, 307, 9528, 12887, 10267, 29609, 23300, 1721, 3662, 538, 2831, 912, 13537, 263, 534, 2711, 994, 13537, 263, 534, 2711, 266, 257, 529, 513, 1434, 4620, 5602, 2745, 2891, 718, 891, 1118, 513, 1434, 4620, 2668, 27583, 15405, 1721, 695, 527, 538, 2039, 263, 272, 267, 1556, 2187, 13537, 263, 3333, 527, 2020, 11133, 1499, 284, 4289, 263, 9792, 263, 272, 267, 1220, 4917, 2745, 3799, 13246, 994, 338, 638, 4100, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 267, 4029, 2187, 453, 338, 13645, 284, 328, 1262, 273, 454, 453, 320, 284, 338, 638, 4100, 6910, 4433, 13645, 994, 2745, 4433, 638, 4100, 994, 21745, 1080, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 2420, 2639, 10946, 328, 284, 10946, 5560, 580, 1080, 994, 2381, 328, 284, 2381, 5560, 580, 1080, 994, 339, 582, 284, 10946, 328, 266, 2381, 328, 454, 2745, 6025, 582, 994, 2745, 2891, 17730, 476, 1592, 8223, 5602, 322, 4209, 284, 1496, 328, 1262, 274, 585, 1775, 538, 2039, 263, 271, 267, 1724, 22708, 2745, 6262, 4209, 994, 1721, 1775, 538, 2039, 263, 271, 267, 2641, 2187, 13537, 9217, 994, 331, 284, 1496, 328, 585, 1775, 538, 2039, 263, 271, 267, 1911, 1822, 272, 22708, 2745, 10857, 264, 4848, 454, 1721, 1775, 538, 2039, 630, 271, 267, 1556, 2187, 453, 322, 4209, 284, 328, 1262, 274, 454, 13537, 6262, 4209, 994, 2452, 619, 284, 9131, 6062, 12887, 31435, 12887, 321, 3558, 12887, 4944, 600, 12887, 2041, 13154, 23300, 2745, 263, 2452, 619, 314, 271, 281, 274, 7481, 1721, 6345, 538, 5716, 314, 271, 281, 274, 14158, 13537, 263, 16651, 26644, 15405, 3240, 6958, 797, 338, 284, 9131, 335, 2033, 518, 12887, 335, 14040, 12887, 10767, 3455, 12887, 335, 14040, 23300, 25988, 338, 284, 3240, 6958, 797, 338, 11468, 2639, 2745, 30044, 6958, 797, 338, 994, 2745, 6600, 797, 338, 994, 25988, 338, 6910, 2891, 577, 1952, 27821, 5602, 2745, 6600, 797, 338, 994, 2745, 30044, 6958, 797, 338, 264, 28768, 31521, 284, 9131, 294, 14011, 276, 12887, 24445, 540, 10279, 12887, 31296, 5243, 273, 12887, 322, 3300, 10880, 273, 262, 23378, 1721, 3014, 538, 3756, 314, 271, 281, 274, 14158, 13537, 19629, 333, 763, 1101, 1614, 3014, 616, 257, 266, 18524, 994, 25988, 284, 9131, 322, 1952, 1075, 3626, 12887, 335, 14040, 12887, 577, 16438, 919, 12887, 335, 32332, 12887, 823, 8645, 23300, 742, 797, 284, 25988, 28768, 25988, 6910, 3488, 4248, 5073, 742, 797, 6910, 3488, 338, 879, 576, 5073, 1721, 535, 538, 1426, 912, 13537, 6600, 994, 1721, 535, 325, 538, 535, 25988, 912, 13537, 263, 742, 994, 5550, 5091, 574, 14352, 736, 267, 2004, 994, 1721, 3897, 538, 6439, 5091, 574, 912, 13537, 5560, 574, 994, 4848, 454, 321, 4428, 284, 3488, 1706, 27198, 12887, 291, 6242, 12887, 27306, 569, 12887, 2419, 1952, 27821, 12887, 301, 22528, 5073, 1721, 536, 538, 10889, 912, 13537, 6357, 994, 2908, 815, 3488, 577, 650, 12887, 322, 12887, 27306, 569, 12887, 2419, 1952, 27821, 12887, 301, 22528, 5073, 1721, 562, 538, 1007, 912, 13537, 3799, 994, 322, 1513, 284, 9131, 321, 332, 342, 12887, 16728, 12887, 1091, 345, 25431, 23300, 1721, 1286, 538, 6517, 912, 14851, 6262, 541, 2525, 262, 16728, 262, 2187, 453, 13537, 6262, 541, 269, 21639, 15405, 28432, 912, 453, 13537, 6262, 541, 26644, 15405, 320, 284, 866, 454, 28768, 321, 10165, 318, 22852, 284, 9131, 335, 24170, 12887, 19207, 592, 12887, 9618, 880, 262, 6540, 2745, 3488, 327, 926, 8339, 27583, 3890, 266, 257, 2791, 666, 2022, 707, 695, 1080, 8442, 453, 692, 8364, 8782, 17754, 345, 7055, 2745, 2891, 3674, 1286, 568, 22904, 286, 594, 3589, 8771, 5602, 2745, 6262, 541, 2525, 262, 17754, 345, 5073, 2745, 2891, 3674, 1286, 1990, 528, 514, 286, 594, 3589, 13138, 16604, 5602, 2745, 6262, 541, 2525, 262, 345, 528, 514, 5073, 19477, 284, 9131, 577, 16438, 622, 12887, 4944, 1182, 12887, 9857, 823, 12887, 8364, 600, 558, 23300, 2745, 3488, 320, 262, 538, 3688, 994, 2745, 2891, 577, 16438, 622, 257, 538, 3688, 994, 23748, 25507, 9272, 2891, 11767, 513, 1297, 27363, 604, 263, 23748, 285, 284, 736, 17107, 28768, 4848, 13537, 2891, 763, 3902, 568, 1434, 543, 519, 3902, 596, 9411, 568, 834, 266, 1598, 263, 23748, 11924, 257, 527, 568, 1018, 596, 9411, 5225, 2119, 1586, 8627, 15419, 12828, 912, 13537, 2891, 758, 8627, 8442, 28768, 28768, 531, 1329, 318, 10233, 8782, 13582, 7055, 604, 263, 531, 1329, 318, 10233, 568, 1412, 13582, 262, 2187, 13537, 2891, 9767, 12236, 476, 276, 2798, 8442, 28768, 531, 1329, 273, 318, 10233, 8782, 19990, 7055, 604, 263, 531, 1329, 273, 318, 10233, 568, 1412, 13582, 262, 2187, 13537, 2891, 2791, 12236, 476, 1015, 2798, 5602, 12828, 912, 13537, 2891, 2791, 616, 513, 695, 527, 4630, 773, 5602, 10233, 284, 6358, 2891, 10938, 513, 2681, 5602, 604, 263, 10233, 568, 1412, 13582, 262, 2187, 13537, 3488, 9767, 12236, 476, 276, 2798, 5073, 19197, 263, 10233, 568, 1412, 19990, 262, 2187, 13537, 3488, 9767, 476, 12236, 476, 1015, 2798, 5073, 12828, 912, 13537, 3488, 7224, 2798, 10807, 28768, 720, 25507, 9272, 2891, 11767, 707, 2085, 27363, 604, 263, 720, 283, 273, 2187, 13537, 2891, 9767, 616, 513, 737, 1342, 334, 5602, 19197, 263, 720, 283, 275, 2187, 13537, 2891, 2791, 25758, 589, 570, 7495, 13036, 2207, 5602, 19197, 263, 720, 283, 1724, 2187, 13537, 2891, 2791, 616, 513, 4819, 5602, 19197, 263, 720, 283, 736, 2187, 13537, 2891, 9767, 616, 513, 7141, 4630, 773, 5602, 19197, 263, 720, 283, 4792, 2187, 13537, 2891, 9767, 616, 606, 2937, 5602, 12828, 912, 13537, 2891, 527, 568, 942, 585, 596, 547, 979, 909, 8442, 28768, 9008, 335, 902, 284, 9131, 332, 2313, 3336, 12887, 3832, 3150, 12887, 335, 2033, 518, 12887, 332, 755, 731, 11172, 28768, 322, 284, 6358, 2891, 10938, 707, 3903, 19515, 604, 6262, 538, 547, 25940, 2187, 13537, 6262, 266, 257, 15884, 581, 3773, 257, 266, 834, 921, 848, 7227, 5602, 13537, 2891, 20365, 533, 714, 3960, 320, 568, 4712, 5602, 12828, 912, 13537, 2891, 28989, 29679, 597, 257, 266, 322, 266, 257, 529, 711, 2139, 257, 9239, 4848, 15235, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 14030, 4449, 672, 8528, 453, 692, 28768, 453, 692, 4848, 692, 28768, 453, 692, 28768, 28768, 28768, 28768, 28768, 0, 3698, 524, 16364, 15461, 6958, 13873, 15241, 6262, 2187, 825, 952, 524, 3436, 910, 24129, 269, 1428, 912, 1038, 2132, 524, 2608, 476, 280, 270, 276, 1341, 476, 3953, 454, 825, 3116, 912, 1038, 2132, 834, 19808, 6372, 2837, 4799, 28744, 263, 26118, 3780, 15461, 6958, 13873, 15241, 263, 15615, 9272, 2891, 11767, 17622, 585, 7503, 281, 834, 4297, 4917, 339, 655, 704, 2137, 17342, 1015, 267, 910, 736, 267, 910, 29579, 267, 476, 1911, 2639, 1721, 10917, 538, 5210, 912, 825, 1820, 263, 26118, 3780, 15461, 6958, 13873, 15241, 6025, 11391, 4917, 0, 258, 17387, 532, 519, 3156, 602, 616, 2877, 547, 1930, 519, 4199, 3758, 543, 12719, 3275, 454, 5814, 15259, 454, 5814, 26417, 692, 258, 3698, 1456, 519, 2619, 585, 519, 3758, 454, 322, 12364, 12949, 815, 15259, 29624, 12459, 7765, 2891, 907, 14824, 303, 2988, 3326, 2580, 834, 4910, 1545, 2580, 834, 324, 3005, 12774, 27406, 15419, 258, 30787, 519, 3355, 2418, 3097, 341, 4925, 815, 31460, 20135, 24449, 4925, 815, 476, 271, 454, 322, 663, 28371, 24449, 1774, 30648, 1417, 720, 815, 11713, 10946, 19368, 815, 476, 271, 454, 7773, 1676, 815, 834, 5016, 2745, 2891, 292, 3005, 11778, 5602, 2745, 2891, 5785, 955, 268, 15419, 258, 30787, 519, 8520, 585, 12719, 519, 11192, 966, 4925, 454, 5976, 1930, 6262, 12364, 12949, 267, 17683, 8782, 583, 325, 268, 279, 10807, 607, 26417, 12803, 912, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 994, 825, 1985, 6262, 12364, 1348, 518, 994, 825, 585, 4737, 538, 26417, 1348, 518, 912, 1038, 11134, 815, 4737, 314, 273, 2639, 1038, 8917, 815, 4737, 314, 271, 2639, 13872, 1038, 1948, 15575, 532, 2698, 16018, 454, 1038, 2698, 24449, 4925, 6834, 476, 272, 692, 1038, 1948, 15575, 532, 519, 16018, 585, 1142, 11134, 454, 1038, 952, 11134, 711, 538, 16018, 912, 2018, 16018, 314, 322, 663, 28371, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 16018, 314, 322, 663, 28371, 316, 6834, 476, 272, 692, 825, 1948, 15612, 908, 519, 6871, 540, 16018, 585, 1142, 11134, 454, 825, 585, 11134, 538, 16018, 912, 1038, 11134, 24449, 4925, 815, 16018, 314, 322, 663, 28371, 2639, 1038, 11134, 24449, 1774, 30648, 1417, 720, 815, 5180, 263, 15615, 6262, 663, 28371, 24449, 4925, 264, 1315, 10581, 6025, 4973, 24449, 4925, 264, 2608, 476, 1911, 267, 274, 264, 8931, 1038, 1820, 6600, 257, 346, 322, 663, 28371, 348, 2433, 2715, 322, 663, 28371, 24449, 1774, 30648, 1417, 720, 348, 260, 630, 346, 322, 663, 28371, 24449, 4925, 16585, 834, 2020, 825, 1948, 1948, 21446, 894, 1505, 547, 12719, 519, 16018, 585, 1142, 11134, 454, 825, 1948, 1219, 2600, 17635, 4925, 2187, 825, 1948, 672, 2132, 16018, 314, 322, 663, 28371, 316, 1315, 2698, 24449, 4925, 2608, 476, 1911, 454, 4449, 454, 825, 1948, 15275, 604, 328, 3539, 519, 16771, 454, 825, 585, 630, 322, 663, 28371, 267, 8917, 264, 538, 16018, 29096, 10031, 1038, 952, 8917, 3436, 3193, 19368, 912, 2018, 3193, 19368, 815, 8917, 454, 2018, 16771, 815, 11134, 692, 825, 1948, 1948, 20010, 1259, 540, 12719, 519, 16771, 609, 519, 946, 540, 3193, 3890, 543, 1547, 1326, 454, 825, 1948, 16771, 273, 284, 3193, 17635, 4925, 267, 4486, 284, 341, 4925, 10947, 994, 825, 1948, 1820, 6600, 257, 346, 7773, 1676, 273, 348, 5602, 13872, 2745, 2891, 5785, 955, 268, 5602, 2745, 6600, 257, 13707, 966, 4925, 281, 2715, 20135, 24449, 4925, 348, 5602, 2745, 2891, 5785, 955, 268, 5602, 2745, 6600, 257, 310, 27903, 281, 2715, 7773, 1676, 348, 257, 9239, 258, 645, 2177, 4785, 654, 305, 25492, 21832, 674, 11223, 5442, 570, 28692, 454, 258, 10410, 1518, 519, 3758, 547, 2328, 547, 454, 16059, 24786, 815, 15259, 29624, 12459, 7765, 2891, 907, 14824, 303, 2988, 3326, 2580, 834, 2908, 17902, 15419, 258, 7046, 519, 3758, 1210, 834, 31095, 257, 7154, 269, 10410, 1518, 519, 4756, 547, 3180, 519, 9115, 454, 5976, 1930, 263, 16059, 24786, 267, 1412, 342, 10807, 607, 512, 868, 18316, 912, 825, 512, 868, 18316, 22182, 2891, 292, 3005, 11778, 14826, 5602, 825, 512, 868, 18316, 22182, 2891, 5785, 955, 10559, 333, 5602, 825, 512, 868, 18316, 22182, 6600, 257, 13707, 966, 4925, 281, 2715, 20135, 24449, 4925, 4153, 333, 5602, 825, 512, 868, 18316, 22182, 2891, 5785, 955, 10559, 333, 5602, 825, 585, 11134, 538, 16018, 912, 1038, 512, 868, 18316, 22182, 6600, 257, 346, 322, 663, 28371, 348, 281, 2715, 322, 663, 28371, 24449, 1774, 30648, 1417, 720, 348, 260, 630, 346, 322, 663, 28371, 24449, 4925, 348, 9385, 333, 5602, 825, 512, 868, 18316, 22182, 2891, 5785, 955, 10559, 333, 5602, 825, 512, 868, 18316, 22182, 6600, 257, 310, 27903, 281, 2715, 7773, 1676, 348, 15419, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5035, 12287, 912, 825, 8173, 825, 901, 1362, 11225, 513, 1268, 6902, 994, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 281, 1193, 267, 2085, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 901, 568, 519, 1362, 4020, 584, 780, 1038, 2433, 12407, 2012, 281, 634, 1268, 781, 2012, 563, 1038, 2433, 12407, 2085, 281, 634, 1268, 781, 2085, 563, 1038, 2433, 6943, 2012, 281, 1193, 454, 1038, 2433, 6943, 2085, 281, 703, 454, 1038, 8173, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 8176, 28726, 5206, 519, 3209, 20182, 3828, 626, 607, 513, 1259, 540, 11589, 1010, 5784, 593, 875, 519, 3638, 5701, 519, 4057, 267, 543, 875, 646, 5433, 827, 519, 4031, 3823, 519, 4057, 269, 2311, 519, 942, 972, 729, 513, 5458, 7934, 1063, 519, 3638, 543, 519, 4057, 1813, 547, 4853, 5314, 269, 901, 5921, 602, 519, 4057, 941, 2451, 547, 7639, 538, 18473, 267, 32036, 4765, 2175, 267, 543, 941, 5701, 10792, 569, 676, 519, 3638, 269, 28726, 5433, 9244, 827, 713, 454, 1432, 568, 707, 3210, 547, 519, 1259, 2648, 543, 22888, 616, 4843, 538, 623, 1432, 568, 707, 3210, 547, 519, 1259, 2648, 543, 22888, 616, 4843, 538, 29233, 543, 2776, 9080, 823, 676, 13191, 3243, 523, 286, 29233, 543, 2776, 9080, 823, 729, 2854, 538, 476, 9692, 277, 268, 278, 1282, 519, 11509, 1974, 543, 729, 3370, 538, 476, 8687, 274, 267, 621, 568, 1305, 1063, 476, 9692, 278, 543, 476, 8687, 276, 267, 538, 6917, 4789, 950, 519, 6683, 2486, 729, 4657, 883, 513, 2413, 4853, 4182, 269, 29233, 543, 2776, 9080, 823, 568, 827, 2648, 543, 7365, 267, 2123, 8788, 267, 543, 10838, 824, 1919, 267, 4567, 543, 10639, 269, 29233, 543, 2776, 9080, 823, 568, 513, 2442, 11509, 3209, 267, 799, 30080, 454, 305, 727, 334, 543, 19201, 305, 727, 334, 543, 19201, 19151, 543, 19201, 568, 513, 1404, 827, 3664, 267, 543, 811, 11932, 267, 827, 2962, 799, 2501, 1310, 519, 3664, 269, 634, 1404, 9727, 875, 2648, 543, 13842, 666, 10556, 519, 3375, 1818, 1184, 267, 799, 538, 2490, 5932, 18174, 880, 3527, 269, 634, 1292, 3197, 1118, 3664, 1759, 593, 13842, 610, 2648, 267, 543, 519, 3527, 2014, 26946, 5408, 762, 4539, 269, 1280, 782, 3527, 267, 972, 616, 4539, 1107, 543, 519, 811, 1271, 519, 2962, 568, 267, 519, 811, 3978, 519, 12343, 269, 7085, 687, 540, 3527, 616, 581, 635, 454, 301, 1794, 529, 538, 2442, 4670, 21647, 538, 2442, 4670, 9294, 1143, 568, 513, 2442, 1641, 585, 782, 4670, 12696, 269, 2368, 899, 519, 4670, 547, 581, 21370, 6041, 267, 6466, 824, 12696, 4782, 547, 1397, 21647, 538, 513, 5594, 635, 673, 1769, 269, 594, 786, 581, 1603, 827, 891, 2185, 8874, 282, 634, 23193, 3751, 267, 5576, 785, 2401, 779, 5903, 267, 570, 8922, 874, 540, 519, 4024, 543, 16410, 648, 339, 267, 543, 875, 519, 19971, 946, 8254, 7285, 547, 9446, 1004, 538, 1114, 2081, 269, 570, 8922, 874, 540, 519, 4024, 729, 513, 605, 9539, 21532, 4670, 269, 6034, 539, 676, 22255, 328, 681, 3971, 523, 560, 22844, 538, 476, 4350, 275, 267, 621, 2982, 13609, 538, 513, 1259, 602, 1906, 535, 328, 454, 1692, 6707, 1281, 654, 1961, 590, 1195, 1074, 320, 946, 1893, 547, 6655, 1010, 4606, 1692, 6707, 1281, 654, 1961, 590, 1195, 1074, 320, 946, 1893, 547, 6655, 1010, 4606, 827, 7292, 14882, 286, 769, 519, 6648, 968, 5938, 548, 7483, 22062, 566, 892, 654, 1961, 590, 1195, 1074, 320, 3096, 1893, 1360, 3927, 547, 6655, 1010, 4606, 827, 7292, 14882, 269, 1261, 3096, 513, 15146, 1317, 621, 568, 606, 4277, 543, 3312, 1259, 540, 3695, 519, 6249, 540, 7292, 14882, 267, 607, 596, 3112, 1294, 519, 1268, 593, 519, 824, 1439, 540, 519, 6049, 269, 590, 1195, 1074, 320, 3096, 513, 3099, 540, 2553, 547, 6655, 713, 2856, 547, 519, 5467, 971, 607, 2497, 267, 1463, 4633, 267, 530, 334, 454, 763, 1198, 540, 10565, 20451, 570, 3290, 1208, 712, 840, 3000, 819, 28194, 763, 1198, 540, 10565, 20451, 281, 570, 3290, 267, 1208, 712, 267, 840, 3000, 819, 267, 28194, 667, 1090, 1738, 20451, 1223, 581, 11580, 543, 2306, 519, 5304, 1745, 2731, 3238, 609, 519, 26760, 267, 3765, 24483, 267, 24457, 543, 18792, 540, 19151, 543, 19201, 269, 2920, 476, 272, 267, 26657, 476, 272, 1879, 5484, 14179, 1470, 2712, 2471, 19151, 547, 979, 547, 519, 21649, 547, 1413, 693, 824, 4807, 547, 7340, 1200, 267, 646, 13187, 602, 602, 1223, 711, 4755, 543, 713, 568, 4401, 545, 1317, 649, 917, 602, 646, 786, 2743, 19201, 693, 519, 21649, 282, 968, 3080, 3655, 790, 337, 982, 1250, 2648, 256, 634, 782, 5498, 4370, 3141, 683, 685, 518, 4718, 1200, 6474, 521, 4532, 454, 288, 11879, 5811, 540, 19664, 553, 1306, 1127, 676, 7671, 15966, 22620, 288, 11879, 5811, 540, 2048, 17951, 11253, 779, 1306, 1127, 685, 676, 7671, 15966, 22620, 7671, 15966, 22620, 729, 4535, 593, 476, 866, 628, 4864, 267, 476, 4350, 271, 267, 538, 27201, 267, 1715, 3840, 693, 519, 4463, 540, 519, 4279, 12870, 269, 1879, 646, 729, 705, 583, 2185, 267, 1010, 11078, 20152, 5747, 269, 634, 1920, 13604, 8120, 547, 7799, 15104, 267, 8581, 267, 543, 568, 519, 1292, 17122, 4259, 540, 713, 1433, 267, 4911, 11253, 779, 1306, 1127, 267, 513, 17728, 540, 1010, 6689, 269, 15966, 22620, 8120, 547, 1715, 3840, 950, 646, 729, 562, 31106, 267, 543, 7307, 547, 1831, 513, 4116, 1310, 801, 532, 693, 1715, 3840, 6280, 269, 3571, 7015, 5689, 778, 344, 3357, 454, 1692, 1281, 3627, 674, 578, 956, 946, 1880, 8916, 543, 4025, 547, 3986, 513, 1692, 1281, 3627, 674, 578, 956, 946, 1880, 8916, 543, 4025, 547, 3986, 543, 2697, 1142, 1915, 538, 2048, 763, 3943, 17389, 9790, 1218, 19716, 685, 286, 3627, 674, 578, 956, 12857, 519, 3209, 676, 4758, 606, 2143, 6609, 540, 519, 2048, 290, 984, 321, 685, 538, 25425, 3204, 529, 269, 1261, 12857, 8861, 693, 713, 1448, 267, 10503, 1200, 607, 2048, 320, 2713, 18189, 547, 519, 546, 27547, 685, 2048, 320, 4137, 689, 7242, 9957, 769, 713, 4259, 267, 649, 2253, 547, 1106, 938, 1378, 6644, 540, 1200, 1915, 282, 22072, 676, 3903, 543, 4830, 2943, 14264, 3273, 344, 693, 519, 1482, 942, 269, 1284, 2253, 547, 12314, 30960, 454, 1692, 814, 707, 1620, 540, 2621, 14789, 610, 3871, 1044, 1215, 814, 707, 1620, 540, 2621, 267, 14789, 610, 3871, 1044, 8032, 676, 741, 11269, 538, 519, 5931, 596, 723, 6594, 286, 18266, 568, 1419, 1031, 607, 513, 14049, 17929, 1346, 609, 6392, 666, 1491, 3255, 547, 29937, 741, 1379, 543, 1491, 9562, 540, 519, 5168, 269, 634, 5168, 568, 2141, 16148, 543, 666, 581, 23699, 676, 519, 1379, 540, 2621, 267, 14789, 610, 3871, 269, 1635, 1620, 519, 1259, 891, 666, 948, 13861, 519, 11269, 540, 2357, 13369, 267, 2820, 592, 2471, 1018, 7506, 519, 5168, 543, 454, 30875, 24163, 543, 26728, 8124, 634, 20556, 30875, 24163, 543, 26728, 8124, 281, 634, 20556, 589, 2312, 1620, 540, 8361, 24163, 781, 2078, 609, 26728, 8124, 568, 4909, 547, 1022, 2079, 540, 570, 31122, 6214, 543, 3609, 6194, 269, 589, 13618, 568, 6932, 269, 8361, 24163, 267, 621, 568, 3622, 8815, 267, 729, 1447, 9846, 519, 2278, 540, 1010, 1378, 3609, 982, 11977, 10001, 610, 8361, 23446, 267, 855, 621, 568, 4636, 547, 5641, 1864, 2901, 607, 606, 1412, 11274, 550, 2465, 28867, 867, 3299, 945, 15518, 730, 519, 12602, 540, 1533, 547, 1866, 267, 610, 607, 513, 1412, 11365, 26843, 3299, 945, 2877, 1010, 26110, 547, 4383, 1864, 269, 8361, 24163, 2676, 7838, 289, 3198, 631, 2839, 291, 4041, 4211, 299, 19798, 570, 7417, 2793, 294, 8991, 5442, 5990, 667, 4488, 32767, 5508, 5990, 667, 5588, 7838, 289, 3198, 267, 631, 2839, 291, 4041, 4211, 299, 19798, 570, 7417, 2793, 294, 8991, 267, 5442, 5990, 667, 4488, 32767, 5508, 5990, 2048, 291, 5588, 9957, 21850, 29767, 268, 8080, 547, 519, 8717, 540, 519, 12297, 269, 2334, 6263, 3787, 540, 5769, 8239, 4171, 18451, 18709, 538, 552, 17733, 9607, 543, 1357, 15745, 338, 865, 28426, 19306, 519, 575, 1342, 3539, 1764, 540, 2029, 593, 938, 2729, 693, 519, 2540, 779, 10131, 269, 14210, 1296, 3516, 267, 519, 5769, 729, 2370, 811, 982, 513, 2166, 1499, 10628, 19069, 21986, 539, 676, 562, 518, 1091, 267, 1247, 519, 5680, 729, 606, 21372, 1907, 7164, 547, 782, 855, 513, 19625, 540, 3173, 269, 4653, 267, 519, 5769, 568, 513, 811, 14984, 5420, 982, 454, 5938, 7697, 16594, 4828, 5938, 7697, 16594, 4828, 3733, 654, 1057, 543, 8866, 568, 513, 1920, 1694, 1260, 20762, 538, 609, 3978, 12416, 1317, 3978, 543, 10853, 2152, 543, 4843, 269, 898, 568, 1759, 593, 606, 1977, 5025, 325, 549, 1920, 1739, 519, 9821, 540, 7262, 2511, 3885, 269, 4634, 1498, 519, 32616, 673, 2070, 540, 513, 1920, 538, 1694, 1260, 338, 568, 3043, 267, 3328, 1647, 1362, 1004, 9967, 540, 476, 273, 3237, 543, 513, 19619, 540, 3214, 269, 3733, 654, 1057, 543, 8866, 616, 4010, 602, 267, 1175, 609, 519, 3017, 540, 2960, 7990, 799, 2636, 3109, 4892, 547, 9305, 547, 269, 901, 568, 513, 535, 454, 301, 580, 7970, 609, 5900, 3363, 301, 580, 7970, 609, 5900, 3363, 634, 3355, 338, 1796, 585, 715, 580, 7970, 2060, 5900, 3363, 267, 799, 729, 519, 3501, 20032, 540, 713, 11968, 13353, 12284, 781, 19773, 269, 1358, 16922, 3220, 269, 667, 516, 630, 321, 269, 27055, 8479, 267, 476, 1240, 5988, 476, 3422, 276, 267, 3162, 6239, 267, 11968, 13353, 267, 4993, 267, 7330, 1070, 29382, 962, 7578, 630, 321, 269, 4165, 334, 710, 2961, 571, 2421, 267, 1290, 17980, 267, 11968, 13353, 267, 4993, 267, 7330, 1070, 14330, 11412, 630, 321, 269, 22784, 333, 15605, 4793, 1562, 517, 267, 1290, 17980, 267, 11968, 13353, 267, 4993, 267, 7330, 264, 543, 661, 1794, 344, 7232, 630, 321, 269, 18238, 19159, 267, 476, 278, 5181, 476, 3422, 274, 267, 1290, 17980, 267, 4993, 267, 7330, 267, 546, 269, 476, 2918, 4728, 476, 1960, 276, 267, 11968, 13353, 267, 4993, 267, 7330, 1916, 763, 3244, 1186, 976, 763, 3244, 1186, 976, 1215, 1705, 634, 3244, 1186, 976, 267, 835, 540, 519, 1034, 2442, 8613, 2982, 538, 1686, 267, 979, 689, 1373, 16091, 676, 1082, 3909, 3401, 585, 922, 3668, 540, 1920, 2418, 547, 1373, 1572, 593, 540, 519, 1034, 519, 10999, 4143, 3292, 538, 6305, 942, 286, 15215, 19784, 4460, 623, 31582, 8214, 956, 602, 2243, 538, 713, 3015, 267, 18854, 1399, 267, 543, 24084, 2287, 1433, 269, 623, 3855, 344, 7710, 519, 1367, 3197, 267, 11042, 1896, 540, 519, 1397, 779, 5830, 543, 12696, 267, 543, 20147, 609, 513, 4901, 540, 2436, 519, 1397, 2676, 300, 4215, 3795, 540, 11176, 554, 944, 10247, 1143, 300, 4215, 3795, 540, 11176, 554, 944, 10247, 1143, 25624, 554, 944, 10247, 1143, 666, 581, 2938, 607, 1945, 540, 606, 2653, 3077, 262, 585, 519, 2923, 269, 2060, 20859, 1459, 693, 1169, 6474, 2066, 519, 2197, 267, 519, 8458, 540, 513, 1650, 1373, 14406, 616, 28489, 269, 7641, 12514, 849, 1611, 602, 18063, 1369, 30806, 338, 616, 9575, 593, 3381, 269, 4595, 519, 476, 3422, 271, 338, 267, 538, 1249, 267, 20859, 723, 1044, 2366, 547, 11176, 13292, 547, 1867, 593, 15624, 7180, 267, 2864, 982, 1175, 519, 3014, 476, 272, 269, 634, 3703, 9184, 331, 1355, 2046, 538, 1880, 723, 606, 25981, 262, 1237, 454, 288, 1749, 288, 1749, 15978, 910, 1548, 781, 1007, 7790, 476, 2411, 19203, 1772, 519, 5048, 3478, 998, 286, 1284, 2907, 917, 2614, 827, 15978, 1283, 516, 1203, 922, 3262, 267, 855, 22293, 267, 5360, 659, 1890, 267, 4250, 543, 2462, 582, 787, 3136, 547, 3247, 1082, 689, 2921, 7850, 15416, 547, 3247, 519, 1981, 540, 3478, 519, 11226, 3644, 269, 1284, 917, 2614, 827, 875, 519, 3968, 568, 10299, 547, 2149, 6000, 689, 621, 1510, 759, 15659, 547, 971, 26037, 607, 16601, 4152, 267, 24451, 31741, 610, 2698, 13767, 756, 2329, 269, 1809, 1932, 1906, 1004, 616, 3478, 519, 15978, 3190, 454, 305, 659, 1143, 568, 513, 1978, 2186, 540, 14882, 267, 1759, 593, 25768, 7744, 543, 32641, 568, 513, 1978, 2186, 540, 14882, 267, 1759, 593, 25768, 7744, 543, 1102, 2716, 1043, 2489, 3074, 4724, 513, 1808, 1895, 269, 634, 2262, 14882, 2501, 689, 519, 5824, 10902, 9299, 324, 9080, 545, 1756, 267, 799, 1797, 513, 10385, 1759, 593, 3105, 3664, 4646, 1354, 519, 5013, 941, 1634, 269, 1403, 513, 1268, 2636, 741, 11830, 5367, 4978, 547, 3625, 519, 3356, 540, 1776, 267, 621, 568, 7130, 269, 8409, 945, 23868, 782, 2818, 540, 513, 5198, 689, 1978, 2010, 540, 7694, 267, 8027, 267, 2797, 2924, 267, 3872, 3255, 267, 610, 513, 454, 5978, 5480, 1949, 723, 538, 2487, 1296, 1044, 1767, 547, 581, 5978, 5480, 1949, 723, 267, 538, 2487, 1296, 267, 1044, 1767, 547, 581, 28537, 267, 3006, 23696, 267, 543, 1256, 1394, 8421, 3022, 547, 519, 1448, 1141, 2665, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24629, 267, 5288, 269, 9878, 585, 3388, 856, 540, 519, 4871, 2272, 563, 763, 1455, 7326, 568, 519, 5491, 3556, 568, 1732, 267, 1317, 519, 2724, 13978, 538, 707, 454, 23810, 2272, 15980, 1719, 563, 20701, 454, 5035, 15894, 25205, 912, 825, 8173, 825, 4179, 2517, 4178, 8542, 629, 2593, 28898, 9706, 5966, 270, 16753, 270, 2006, 1645, 3917, 712, 11546, 321, 1206, 270, 15517, 6954, 12656, 1675, 338, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 3948, 30648, 1675, 284, 1789, 267, 1719, 6958, 872, 30648, 1675, 284, 4649, 2187, 1038, 1582, 269, 8063, 618, 30648, 1675, 815, 3948, 30648, 1675, 454, 1038, 1582, 269, 15517, 6958, 872, 30648, 1675, 815, 1719, 6958, 872, 30648, 1675, 454, 1038, 1582, 269, 25270, 815, 476, 271, 454, 1038, 1948, 634, 2179, 602, 649, 4312, 2907, 8120, 267, 547, 581, 6976, 563, 1038, 1582, 269, 26920, 318, 12976, 815, 476, 271, 692, 825, 1219, 1118, 7272, 3420, 1162, 4311, 267, 2179, 2187, 1038, 1582, 269, 25270, 6834, 2179, 692, 825, 1219, 1007, 318, 24629, 4311, 2187, 1038, 1948, 17776, 519, 2179, 543, 950, 547, 2628, 621, 563, 1038, 2179, 15461, 7272, 599, 815, 1582, 269, 25270, 910, 1582, 269, 26920, 318, 12976, 454, 1038, 1582, 269, 26920, 318, 12976, 6834, 2179, 15461, 7272, 599, 454, 1038, 2132, 2179, 15461, 7272, 599, 267, 1582, 10947, 318, 16746, 5091, 622, 10797, 825, 1219, 1205, 318, 25270, 4311, 2187, 1038, 2132, 1582, 269, 25270, 692, 825, 1219, 2628, 318, 26920, 4311, 267, 2179, 2187, 1038, 1582, 269, 25270, 20699, 2179, 454, 1038, 1582, 269, 26920, 318, 12976, 20699, 2179, 692, 825, 1219, 1205, 318, 16746, 5091, 622, 4311, 2187, 1038, 2132, 3193, 4311, 269, 15517, 6958, 872, 30648, 1675, 910, 1582, 269, 8063, 618, 30648, 1675, 267, 476, 271, 9239, 3698, 18082, 30648, 1675, 18692, 1038, 3355, 10734, 1678, 318, 27665, 318, 25270, 267, 942, 18134, 267, 2395, 30648, 318, 24629, 267, 2628, 267, 3790, 2676, 1038, 5491, 6831, 731, 267, 1719, 318, 3433, 2187, 825, 8173, 825, 3244, 12885, 519, 2016, 1974, 563, 825, 8173, 825, 3790, 30648, 318, 1485, 815, 3790, 1315, 2395, 30648, 318, 24629, 454, 825, 4871, 318, 27665, 815, 3355, 10734, 1678, 318, 27665, 318, 25270, 454, 825, 4871, 318, 27665, 318, 20931, 815, 11713, 825, 5491, 6831, 731, 318, 20931, 815, 11713, 825, 533, 2056, 318, 764, 7272, 599, 906, 815, 11713, 825, 585, 3923, 538, 2039, 263, 5503, 18134, 2187, 1038, 1948, 1948, 2423, 333, 1719, 593, 519, 1699, 2272, 3666, 563, 1038, 1948, 1719, 815, 630, 15517, 318, 3433, 1315, 476, 1321, 264, 2608, 4871, 318, 27665, 454, 1038, 1948, 4871, 318, 27665, 6834, 1719, 454, 1038, 1948, 5192, 6976, 267, 14322, 649, 1205, 6976, 693, 519, 1376, 540, 519, 3923, 563, 1038, 4871, 318, 27665, 6834, 2628, 454, 1038, 952, 5491, 6831, 731, 568, 711, 7183, 912, 2018, 524, 322, 318, 10113, 7272, 599, 318, 26920, 267, 524, 322, 318, 10113, 7272, 599, 318, 1485, 815, 5491, 6831, 731, 269, 2908, 318, 24629, 4590, 2018, 533, 2056, 318, 764, 7272, 599, 906, 6910, 8443, 764, 318, 10113, 7272, 599, 318, 26920, 267, 524, 322, 318, 10113, 7272, 599, 318, 1485, 20285, 1038, 585, 1554, 538, 2039, 5560, 904, 30648, 318, 24629, 2187, 2018, 1948, 2423, 333, 1719, 593, 519, 1699, 2272, 3666, 563, 2018, 1719, 815, 630, 15517, 318, 3433, 1315, 476, 18458, 264, 2608, 4871, 318, 27665, 454, 2018, 4871, 318, 27665, 6834, 1719, 692, 2018, 1948, 9796, 12014, 3092, 563, 2018, 952, 5491, 6831, 731, 568, 711, 7183, 912, 3546, 1948, 2422, 519, 5491, 3556, 563, 3546, 5491, 6831, 731, 6230, 820, 7272, 3420, 1162, 6262, 739, 338, 30648, 318, 1485, 994, 2018, 3116, 912, 3546, 1948, 9796, 2786, 689, 519, 4871, 2272, 563, 3546, 4871, 318, 27665, 20699, 3790, 30648, 318, 1485, 692, 2018, 1948, 9796, 519, 5491, 3556, 952, 922, 1813, 563, 2018, 952, 5491, 6831, 731, 912, 3546, 1948, 9796, 1142, 540, 519, 1813, 5491, 3556, 11033, 563, 3546, 585, 1775, 267, 533, 2056, 318, 764, 7272, 599, 618, 538, 26246, 9638, 2056, 318, 764, 7272, 599, 906, 2187, 7386, 952, 533, 2056, 318, 764, 7272, 599, 618, 314, 272, 316, 2652, 476, 271, 912, 13376, 1948, 901, 8569, 568, 1813, 563, 13376, 2179, 318, 16746, 815, 533, 2056, 318, 764, 7272, 599, 618, 314, 271, 2639, 13376, 4871, 318, 27665, 20699, 2179, 318, 16746, 454, 13376, 5491, 6831, 731, 4877, 599, 318, 26920, 263, 26920, 318, 16746, 994, 13376, 1820, 263, 24629, 267, 1554, 267, 2179, 318, 16746, 994, 13376, 533, 2056, 318, 764, 7272, 599, 906, 31927, 9638, 2056, 318, 764, 7272, 599, 618, 994, 7386, 3116, 912, 13376, 1948, 1284, 2811, 476, 272, 1554, 6251, 547, 519, 1813, 4266, 563, 13376, 533, 2056, 318, 764, 7272, 599, 618, 314, 272, 316, 20699, 476, 272, 692, 2018, 4871, 318, 27665, 318, 20931, 6910, 6357, 1678, 318, 27665, 994, 2018, 952, 5491, 6831, 731, 568, 711, 7183, 912, 3546, 5491, 6831, 731, 318, 20931, 6910, 263, 920, 9016, 6831, 731, 10947, 318, 25270, 31156, 825, 952, 5491, 6831, 731, 568, 711, 7183, 912, 1038, 1948, 5269, 519, 3803, 8569, 563, 1038, 3666, 815, 5491, 6831, 731, 10947, 318, 25270, 4590, 1038, 4871, 318, 27665, 20699, 3666, 454, 1038, 5491, 6831, 731, 4877, 599, 318, 26920, 263, 25270, 994, 1038, 4871, 318, 27665, 318, 20931, 6910, 6357, 1678, 318, 27665, 994, 1038, 5491, 6831, 731, 318, 20931, 6910, 263, 920, 9016, 6831, 731, 10947, 318, 25270, 15405, 825, 3116, 912, 1038, 1948, 5269, 513, 7222, 7127, 267, 865, 519, 1686, 13080, 616, 3160, 454, 1038, 1948, 630, 1721, 28321, 1916, 1038, 4871, 318, 27665, 318, 20931, 6910, 6357, 1678, 318, 27665, 318, 20931, 15631, 272, 20285, 825, 2132, 4871, 318, 27665, 318, 20931, 267, 5491, 6831, 731, 318, 20931, 7531, 3698, 1292, 10031, 825, 8173, 825, 2201, 519, 5491, 3556, 267, 649, 2628, 621, 1055, 538, 2407, 950, 1813, 563, 825, 8173, 825, 3355, 10734, 1678, 318, 27665, 318, 25270, 815, 476, 1911, 876, 454, 825, 942, 18134, 815, 476, 277, 476, 1948, 3275, 454, 825, 2395, 30648, 318, 24629, 815, 476, 1789, 476, 1948, 28976, 13429, 454, 825, 2628, 815, 476, 4335, 271, 476, 1948, 829, 3923, 454, 825, 3790, 815, 476, 6110, 271, 476, 1948, 829, 3923, 454, 825, 1719, 318, 3433, 815, 476, 271, 269, 6860, 476, 1948, 476, 275, 9077, 4867, 1455, 585, 1753, 12029, 563, 825, 1719, 6958, 872, 30648, 1675, 815, 476, 2568, 692, 825, 1948, 9453, 5491, 3556, 563, 825, 4871, 318, 27665, 318, 20931, 267, 9041, 815, 18082, 30648, 1675, 18692, 1038, 3355, 10734, 1678, 318, 27665, 318, 25270, 267, 942, 18134, 267, 2395, 30648, 318, 24629, 267, 2628, 267, 3790, 2676, 1038, 7183, 267, 1719, 318, 3433, 994, 825, 1820, 2891, 29806, 4871, 2272, 3666, 1510, 5491, 3556, 281, 4939, 269, 273, 325, 257, 4939, 454, 16875, 4871, 318, 27665, 318, 20931, 15631, 272, 20285, 825, 1820, 12759, 6357, 1678, 318, 27665, 318, 20931, 1070, 4871, 318, 27665, 318, 20931, 2020, 825, 1948, 2060, 5491, 3556, 563, 825, 5491, 6831, 731, 815, 15894, 25205, 5560, 904, 30648, 318, 24629, 267, 1719, 6958, 872, 30648, 1675, 994, 825, 4871, 318, 27665, 318, 20931, 318, 764, 267, 5491, 6831, 731, 318, 20931, 318, 764, 815, 18082, 30648, 1675, 18692, 1038, 3355, 10734, 1678, 318, 27665, 318, 25270, 267, 942, 18134, 267, 2395, 30648, 318, 24629, 267, 2628, 267, 3790, 2676, 1038, 5491, 6831, 731, 267, 1719, 318, 3433, 994, 825, 1820, 2891, 29806, 4871, 2272, 3666, 609, 5491, 3556, 281, 4939, 269, 273, 325, 257, 4939, 454, 16875, 4871, 318, 27665, 318, 20931, 318, 764, 15631, 272, 20285, 825, 1820, 12759, 6357, 1678, 318, 27665, 318, 20931, 318, 764, 1070, 4871, 318, 27665, 318, 20931, 318, 764, 994, 825, 1820, 2891, 290, 13072, 3556, 1686, 2580, 7003, 263, 920, 9016, 6831, 731, 318, 20931, 318, 764, 1070, 5491, 6831, 731, 318, 20931, 318, 764, 2020, 825, 1948, 18140, 519, 4871, 2272, 21356, 563, 825, 4453, 267, 4949, 815, 12301, 16553, 30831, 4590, 825, 1535, 815, 2039, 12759, 6357, 1678, 318, 27665, 318, 20931, 4917, 825, 4949, 19502, 3287, 267, 4871, 318, 27665, 318, 20931, 267, 6003, 6889, 289, 1678, 2272, 1510, 16671, 5602, 825, 4949, 19502, 3287, 267, 4871, 318, 27665, 318, 20931, 318, 764, 267, 6003, 6889, 289, 1678, 2272, 609, 16671, 5602, 825, 4949, 15630, 21234, 2891, 22873, 658, 4871, 3666, 1269, 10065, 273, 325, 267, 942, 18134, 4939, 323, 3275, 267, 1422, 12639, 599, 8096, 10065, 273, 325, 10681, 267, 3790, 8096, 10065, 273, 325, 10681, 267, 4871, 1719, 2557, 4939, 269, 273, 325, 260, 260, 257, 4939, 454, 4449, 630, 30976, 10734, 1678, 318, 27665, 318, 25270, 267, 942, 18134, 267, 2628, 267, 3790, 267, 1719, 318, 3433, 265, 1911, 4917, 825, 4949, 15630, 13448, 16932, 2891, 21196, 5602, 825, 4949, 15630, 318, 29786, 2891, 8649, 870, 5602, 825, 4949, 269, 5586, 754, 10857, 665, 8782, 12294, 1318, 17210, 825, 1948, 18140, 519, 5491, 3556, 21356, 563, 825, 4453, 267, 4949, 815, 12301, 16553, 30831, 4590, 825, 1535, 815, 2039, 12759, 263, 920, 9016, 6831, 731, 318, 20931, 318, 764, 4917, 825, 4949, 19502, 3287, 267, 5491, 6831, 731, 318, 20931, 318, 764, 267, 6003, 6889, 6717, 1686, 5602, 825, 4949, 15630, 21234, 2891, 290, 13072, 3556, 3666, 5602, 825, 4949, 15630, 13448, 16932, 2891, 21196, 5602, 825, 4949, 15630, 318, 29786, 2891, 8649, 870, 5602, 825, 1948, 4949, 269, 5586, 754, 10857, 665, 8782, 12294, 1318, 17210, 825, 12301, 20481, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 18257, 623, 276, 295, 310, 272, 15932, 7089, 1477, 825, 15623, 6519, 1477, 825, 476, 6734, 270, 1240, 270, 1001, 280, 1477, 825, 15932, 1297, 11718, 15981, 5897, 258, 18224, 513, 4351, 1297, 538, 519, 2039, 540, 476, 272, 547, 476, 1911, 1477, 5814, 4351, 5897, 5897, 3698, 1205, 20311, 28399, 825, 1948, 5192, 519, 4351, 1297, 1477, 825, 1297, 815, 4351, 27110, 263, 272, 267, 476, 1911, 3418, 825, 1948, 9105, 519, 3593, 547, 7058, 519, 1297, 1477, 825, 7058, 815, 703, 9272, 2891, 10817, 612, 519, 1297, 281, 834, 17903, 825, 1820, 2891, 763, 1297, 568, 24333, 1297, 3418, 825, 1948, 1403, 270, 14976, 572, 3948, 4470, 593, 519, 3755, 7058, 1477, 825, 952, 7058, 3436, 1297, 6769, 1038, 1820, 2891, 32451, 1164, 267, 2119, 1586, 14744, 825, 3116, 6769, 1038, 952, 7058, 2999, 1297, 6769, 2018, 1820, 2891, 32451, 1970, 267, 2119, 1586, 14744, 1038, 3116, 6769, 2018, 1820, 2891, 5445, 616, 519, 1482, 7249, 337, 1846, 8627, 257, 10142, 3698, 1292, 28399, 825, 1948, 19702, 762, 547, 1852, 519, 8520, 1477, 825, 1586, 815, 834, 344, 29177, 825, 1820, 2891, 305, 24655, 1297, 11718, 476, 272, 268, 1911, 14744, 825, 1948, 11910, 532, 519, 1205, 20311, 1599, 1477, 825, 1247, 1586, 2652, 1412, 344, 262, 610, 1586, 2652, 1412, 312, 262, 6769, 1038, 1205, 20311, 14052, 1038, 1948, 23763, 547, 1404, 1776, 3014, 286, 1477, 1038, 1586, 815, 3403, 2891, 7049, 4733, 1776, 1297, 286, 630, 344, 815, 9811, 2567, 834, 10142, 24541, 672, 5897, 258, 11910, 519, 1292, 1599, 1477, 10852, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 3345, 814, 8815, 547, 26699, 6046, 543, 23828, 4255, 1282, 4708, 12909, 780, 7021, 531, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 2878, 8893, 281, 4197, 6554, 8758, 21164, 4373, 5331, 596, 1185, 1945, 1271, 547, 2161, 827, 707, 1153, 910, 6148, 596, 1616, 547, 2303, 9283, 547, 519, 22538, 2678, 807, 1426, 610, 15974, 1007, 1310, 17469, 15731, 269, 7316, 1131, 596, 3142, 713, 2856, 286, 2290, 1747, 1223, 581, 513, 2875, 14643, 5870, 1141, 13222, 689, 1114, 9344, 5531, 547, 1865, 2152, 7133, 519, 1153, 2146, 780, 1103, 1454, 519, 1482, 1259, 267, 950, 4079, 723, 4145, 610, 10372, 3823, 4031, 543, 4507, 602, 1860, 741, 2950, 267, 789, 1419, 2671, 891, 609, 2818, 540, 513, 2027, 1895, 1572, 513, 834, 1260, 2466, 6590, 2668, 1452, 26639, 7500, 1369, 1585, 2157, 540, 2229, 543, 1445, 593, 1808, 3584, 899, 2069, 267, 3782, 267, 610, 8804, 269, 4653, 267, 649, 3513, 1451, 827, 835, 971, 12233, 1107, 519, 30557, 9730, 593, 16010, 543, 9483, 16457, 780, 265, 2608, 2608, 692, 4131, 781, 2736, 621, 1524, 2439, 272, 269, 1548, 1281, 1412, 18184, 532, 9730, 262, 1611, 888, 14343, 692, 13914, 540, 7555, 26639, 607, 8628, 2324, 2516, 1305, 909, 676, 1612, 2993, 14613, 610, 9777, 2137, 630, 28205, 616, 4025, 1141, 4031, 1205, 1500, 1040, 1358, 2291, 2429, 1142, 2165, 540, 5604, 267, 7429, 740, 554, 665, 26639, 799, 1106, 1152, 585, 1880, 4247, 543, 1287, 771, 7171, 2899, 2944, 269, 3962, 7555, 12233, 6212, 593, 1978, 2127, 4143, 547, 12044, 519, 2197, 267, 11662, 267, 610, 8513, 780, 273, 269, 2353, 6168, 5685, 1734, 1299, 13188, 454, 29432, 3086, 267, 1018, 827, 834, 293, 12099, 543, 9483, 16457, 22172, 4270, 267, 4952, 952, 2576, 4941, 547, 2911, 827, 2724, 6927, 7282, 4213, 267, 6009, 267, 9541, 267, 9204, 267, 3092, 1421, 538, 513, 3148, 282, 713, 568, 4010, 1018, 713, 12233, 9388, 609, 256, 1635, 4974, 2883, 5359, 267, 2804, 3466, 267, 6578, 4566, 267, 543, 824, 1883, 1239, 267, 789, 2832, 547, 2327, 13884, 543, 6617, 585, 3025, 2713, 972, 780, 274, 269, 1215, 6496, 898, 4518, 888, 2411, 21387, 12024, 1022, 1434, 2319, 267, 7555, 26639, 2874, 540, 2789, 2043, 945, 960, 1927, 2509, 1455, 3853, 269, 16840, 2356, 4866, 547, 2797, 6105, 6719, 538, 519, 14618, 610, 23328, 269, 1879, 11401, 2049, 267, 1004, 666, 5639, 741, 8369, 267, 6318, 2055, 267, 7521, 2152, 267, 6432, 547, 4274, 21981, 267, 543, 2689, 2854, 22347, 3827, 269, 30850, 267, 789, 1522, 8908, 7840, 1759, 593, 741, 4681, 547, 948, 3391, 3375, 6194, 3157, 780, 275, 269, 8865, 5530, 281, 2776, 5174, 644, 1326, 13693, 566, 454, 5785, 19567, 3080, 1383, 540, 513, 12233, 781, 1909, 3322, 8600, 585, 5993, 23348, 269, 6969, 6608, 6430, 875, 547, 21138, 2200, 267, 789, 3343, 3403, 689, 4961, 267, 3906, 267, 543, 8639, 269, 3776, 12286, 12233, 6585, 1857, 5873, 902, 2066, 519, 3148, 267, 18136, 11570, 547, 3717, 827, 5551, 2242, 538, 3609, 610, 7836, 14422, 269, 23016, 5702, 547, 891, 5380, 2337, 3337, 811, 5483, 3664, 1282, 6578, 3803, 1436, 780, 265, 2608, 2608, 692, 3383, 1985, 942, 596, 1294, 3377, 24657, 5473, 5717, 1472, 18083, 610, 4346, 267, 3314, 602, 6131, 26639, 899, 519, 30557, 9730, 593, 16010, 543, 9483, 16457, 1404, 2629, 5107, 3297, 519, 10207, 269, 4256, 3646, 3565, 3648, 2509, 4509, 2635, 11615, 543, 5355, 2949, 2298, 540, 1272, 585, 6634, 540, 1004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4306, 13263, 5058, 25265, 3951, 307, 7417, 10396, 674, 2562, 23814, 13651, 6730, 17649, 2975, 19200, 11902, 7644, 306, 454, 26376, 3951, 32723, 25783, 32602, 7728, 23370, 674, 2562, 3198, 290, 2464, 21180, 23370, 19200, 11902, 7644, 2464, 27878, 290, 16688, 296, 27309, 454, 307, 11698, 476, 273, 5988, 476, 1001, 271, 631, 31651, 476, 273, 535, 2946, 341, 8175, 476, 1001, 271, 454, 763, 12233, 1558, 693, 476, 271, 3445, 272, 538, 4055, 476, 14681, 563, 763, 21470, 16644, 1515, 630, 300, 3464, 269, 23718, 24640, 3150, 2567, 634, 30557, 9730, 593, 16010, 543, 9483, 16457, 786, 1631, 2097, 547, 1931, 269, 1284, 616, 20938, 547, 1376, 519, 2034, 1554, 540, 840, 1532, 644, 1326, 29492, 538, 17842, 563, 2177, 307, 2752, 22473, 681, 12239, 288, 7838, 19611, 670, 5588, 5085, 454, 13263, 631, 5588, 5085, 6789, 12569, 5746, 9569, 454, 763, 21470, 16644, 1515, 630, 300, 3464, 269, 23718, 24640, 3150, 2567, 594, 1131, 1289, 938, 1101, 1459, 619, 543, 2307, 873, 547, 1376, 741, 6881, 269, 1411, 786, 723, 476, 1015, 3764, 547, 798, 865, 543, 602, 786, 581, 4553, 676, 909, 547, 2947, 3764, 540, 15819, 269, 901, 10047, 786, 979, 547, 519, 4013, 11685, 269, 7490, 1533, 707, 2012, 1354, 596, 2253, 585, 519, 5301, 540, 938, 10916, 17713, 731, 563, 16031, 269, 25414, 4432, 523, 529, 281, 6153, 6640, 269, 3733, 2012, 568, 25414, 4432, 523, 529, 269, 594, 6415, 519, 7022, 543, 16628, 540, 519, 14411, 31777, 656, 23392, 543, 7763, 601, 5948, 269, 594, 6415, 8678, 2221, 676, 18466, 548, 590, 16184, 619, 267, 938, 9614, 540, 2229, 1894, 563, 763, 10758, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1015, 281, 10289, 32021, 21840, 910, 589, 26726, 26155, 538, 12868, 692, 5970, 596, 2479, 2219, 827, 9683, 32021, 21840, 286, 3509, 1004, 1522, 2995, 596, 602, 972, 781, 4986, 2027, 827, 713, 14297, 2749, 267, 855, 649, 2811, 1934, 547, 1397, 596, 6382, 256, 3807, 899, 707, 554, 32528, 267, 32021, 21840, 814, 2189, 2833, 7996, 585, 596, 1472, 1169, 7944, 269, 1924, 31617, 909, 543, 1577, 781, 3605, 1018, 2306, 32021, 21840, 513, 17709, 2951, 10278, 2439, 5331, 6117, 2059, 2647, 28565, 609, 18932, 3039, 2044, 4478, 596, 1247, 11981, 8949, 2199, 16152, 269, 16319, 5863, 267, 3085, 1405, 621, 286, 2334, 781, 4010, 1018, 19814, 18226, 538, 32021, 21840, 3091, 256, 1306, 596, 3460, 998, 519, 2749, 267, 1810, 1405, 4413, 856, 593, 3843, 891, 17705, 13000, 1384, 272, 269, 6742, 629, 752, 281, 6056, 540, 513, 28077, 3443, 322, 820, 4904, 609, 29902, 5820, 971, 607, 1295, 1027, 5779, 267, 5798, 267, 1085, 718, 687, 267, 543, 14546, 269, 2107, 952, 596, 4782, 1945, 6653, 267, 2972, 12004, 629, 752, 609, 10217, 267, 10381, 267, 610, 27772, 5144, 1107, 586, 636, 2336, 273, 269, 13961, 558, 599, 281, 1452, 2848, 3139, 546, 636, 31958, 1500, 540, 3165, 13594, 20386, 538, 14859, 2097, 609, 24113, 14036, 267, 31625, 267, 543, 3006, 513, 20057, 548, 540, 5743, 6853, 4927, 1824, 269, 1358, 2811, 3501, 585, 513, 1769, 11116, 1282, 707, 4155, 7552, 2336, 274, 269, 717, 5964, 3766, 5964, 281, 901, 2757, 19997, 2934, 23017, 5388, 267, 12277, 267, 31949, 267, 543, 2182, 28967, 6150, 5798, 6039, 609, 513, 24113, 19703, 269, 1411, 4465, 1405, 3494, 875, 29316, 621, 568, 2394, 596, 2119, 621, 3054, 2336, 275, 269, 9045, 599, 281, 3057, 3990, 7729, 26833, 9269, 1989, 2683, 936, 23315, 3595, 267, 10483, 676, 24113, 14036, 1107, 2893, 599, 568, 513, 1590, 2389, 787, 950, 10707, 538, 12868, 780, 3086, 602, 596, 917, 930, 2442, 16152, 267, 1141, 666, 596, 1265, 873, 286, 6733, 1100, 2417, 982, 1964, 13515, 2059, 519, 19814, 256, 10871, 552, 831, 625, 1572, 834, 8705, 31258, 257, 2709, 8076, 8286, 693, 10257, 5777, 269, 9578, 267, 1034, 2112, 31258, 1683, 27939, 2127, 1141, 596, 666, 6001, 543, 10004, 609, 8284, 17631, 780, 2691, 3695, 32021, 21840, 781, 9897, 267, 3314, 547, 3251, 2922, 543, 1246, 6808, 3652, 269, 2422, 10160, 10964, 1206, 267, 23491, 3432, 7182, 267, 543, 2760, 946, 707, 6049, 1247, 6117, 269, 18227, 891, 2241, 4808, 538, 2247, 786, 2327, 513, 5347, 543, 11791, 7045, 780, 2026, 596, 3643, 1007, 4025, 267, 2141, 2463, 2199, 9821, 543, 5389, 269, 1280, 1383, 267, 538, 12868, 267, 4189, 609, 707, 2451, 1688, 568, 2808, 791, 565, 924, 2094, 621, 781, 1031, 585, 2123, 9882, 5301, 269, 5502, 267, 946, 1152, 707, 1318, 1688, 950, 11981, 1426, 693, 2112, 31258, 780, 1103, 3932, 267, 2921, 513, 6251, 1413, 693, 32021, 21840, 8761, 6456, 21889, 4502, 7680, 269, 3245, 5023, 22476, 8265, 1426, 547, 4241, 2686, 15377, 267, 25054, 593, 513, 3460, 538, 32021, 21840, 14767, 20605, 8823, 269, 1924, 1985, 942, 2576, 12134, 952, 972, 781, 4376, 4277, 538, 32021, 21840, 16310, 1373, 513, 24891, 547, 824, 18353, 267, 2671, 782, 519, 6909, 1919, 596, 4121, 1934, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2108, 12179, 3602, 3116, 267, 11735, 689, 32021, 21840, 18313, 1607, 729, 519, 16253, 594, 1131, 2356, 1205, 8164, 594, 1767, 594, 729, 2469, 547, 519, 24414, 3854, 269, 968, 5591, 267, 1175, 32021, 21840, 2223, 729, 1250, 2626, 269, 1656, 621, 3576, 873, 513, 2034, 547, 8275, 602, 789, 4862, 1250, 3210, 1318, 563, 297, 752, 21840, 7959, 9490, 569, 5432, 269, 1703, 568, 865, 1454, 827, 621, 602, 19595, 803, 540, 5450, 549, 2494, 10042, 267, 1250, 1753, 2749, 269, 5637, 616, 3854, 4872, 540, 3384, 14913, 7489, 6082, 269, 5637, 616, 1851, 519, 7887, 4683, 32387, 538, 519, 1158, 267, 7674, 607, 513, 1753, 543, 5924, 9036, 585, 9937, 540, 6634, 540, 1004, 269, 1656, 585, 1082, 3486, 14666, 267, 1312, 616, 2938, 6140, 607, 513, 7914, 11325, 1448, 547, 1776, 10278, 267, 513, 2556, 1797, 547, 513, 811, 20498, 1439, 269, 769, 32021, 21840, 779, 2013, 267, 713, 20498, 1439, 666, 581, 519, 17822, 540, 7195, 328, 267, 519, 17633, 540, 962, 9609, 752, 21840, 267, 610, 519, 28677, 22747, 538, 824, 2694, 540, 10084, 563, 3719, 899, 2494, 10042, 267, 32021, 21840, 666, 3180, 922, 1378, 269, 898, 949, 711, 581, 607, 17749, 2914, 20564, 267, 855, 621, 1281, 723, 513, 1279, 1686, 543, 3638, 2528, 267, 1818, 621, 513, 1390, 3247, 585, 12868, 1101, 4626, 619, 1701, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 5253, 267, 700, 617, 3101, 1299, 18815, 1315, 10003, 13488, 1315, 23681, 667, 1456, 543, 10965, 2931, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7170, 281, 1879, 1250, 2648, 585, 29721, 5280, 803, 1174, 513, 6757, 11505, 692, 296, 729, 19855, 678, 270, 1214, 17443, 630, 320, 13395, 1016, 1042, 9016, 594, 6415, 18930, 539, 609, 264, 950, 594, 16686, 2390, 513, 8142, 6998, 3755, 547, 1711, 2262, 12746, 625, 269, 25126, 6700, 834, 14187, 281, 289, 611, 26012, 9877, 281, 13614, 2437, 9236, 1884, 11618, 1759, 593, 741, 3140, 5072, 2864, 982, 2413, 25664, 725, 269, 898, 17275, 1945, 538, 803, 1317, 267, 693, 602, 4090, 267, 594, 2877, 547, 1118, 2631, 540, 513, 14845, 2078, 1210, 1360, 2147, 3741, 780, 7069, 1655, 3659, 267, 8861, 267, 1185, 1044, 9117, 11397, 25015, 269, 3776, 7391, 941, 4904, 609, 26878, 2880, 24616, 267, 11029, 1202, 6699, 267, 543, 2949, 2258, 18356, 910, 855, 649, 1185, 2141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23173, 8822, 3173, 1589, 789, 4076, 23125, 856, 513, 1259, 547, 2087, 519, 4398, 540, 20342, 10282, 1184, 267, 1382, 799, 1223, 723, 2647, 23568, 6286, 538, 519, 6694, 543, 1648, 5823, 563, 8649, 3000, 807, 568, 4867, 3812, 689, 2067, 3154, 3842, 519, 13206, 518, 630, 528, 13206, 518, 5174, 657, 577, 264, 1184, 267, 855, 3173, 689, 519, 2160, 540, 11062, 1589, 789, 4076, 25282, 513, 811, 3608, 1184, 1210, 16600, 1164, 12511, 630, 7795, 341, 264, 2175, 563, 10527, 13206, 518, 5174, 657, 577, 1184, 729, 2919, 538, 519, 2038, 14206, 2540, 855, 2370, 814, 4957, 2094, 602, 942, 2223, 1767, 3220, 19378, 23514, 9469, 689, 519, 8257, 540, 7998, 267, 968, 28733, 569, 267, 2016, 519, 7372, 4336, 540, 5001, 20342, 2504, 267, 1256, 513, 6263, 6454, 538, 519, 4398, 540, 519, 20342, 10282, 1184, 666, 723, 7372, 6286, 267, 711, 1152, 585, 519, 9297, 540, 6992, 16014, 2504, 267, 855, 849, 585, 2518, 1648, 3747, 3034, 10527, 2627, 2257, 1935, 3096, 2582, 2275, 15009, 531, 4401, 5439, 540, 1164, 19454, 267, 543, 3335, 3322, 6901, 5645, 856, 896, 30610, 341, 2175, 630, 328, 4318, 269, 12503, 1447, 982, 835, 2929, 628, 540, 513, 2929, 628, 540, 606, 5790, 2223, 23514, 9469, 4797, 267, 968, 2171, 723, 5342, 6901, 602, 9192, 930, 540, 519, 10694, 2934, 540, 2582, 2275, 15009, 531, 30610, 341, 2627, 2257, 609, 1346, 540, 2362, 2604, 2553, 3034, 12867, 6534, 606, 4401, 3732, 547, 9436, 547, 1628, 909, 3795, 540, 9436, 8444, 593, 519, 2627, 1107, 835, 11046, 829, 1079, 1283, 2000, 9707, 4401, 8444, 693, 519, 2627, 269, 7201, 30610, 341, 2175, 267, 789, 3067, 1881, 9436, 3795, 1210, 4119, 518, 5082, 1258, 21655, 630, 288, 2464, 264, 1354, 20392, 519, 3732, 547, 476, 271, 269, 277, 3387, 541, 670, 273, 3154, 585, 1896, 3764, 1107, 513, 1454, 2539, 2604, 982, 1031, 538, 4853, 3157, 799, 2636, 519, 5114, 547, 8399, 6385, 2614, 585, 3173, 547, 1491, 6209, 7403, 936, 513, 2053, 7051, 540, 3764, 563, 12867, 960, 8398, 617, 1227, 267, 20392, 519, 3732, 547, 9979, 540, 589, 2464, 543, 30610, 341, 543, 7893, 519, 6749, 538, 2627, 9436, 543, 865, 519, 7222, 2504, 540, 20342, 607, 513, 1599, 540, 942, 543, 2837, 563, 2108, 5978, 2164, 2303, 267, 602, 896, 1978, 2175, 1107, 12077, 950, 519, 20342, 2604, 568, 6854, 1970, 1107, 519, 7250, 566, 3268, 630, 5228, 715, 547, 19760, 547, 19760, 273, 547, 19760, 274, 264, 949, 2965, 581, 519, 1034, 1271, 2223, 1767, 7905, 11184, 6424, 3751, 563, 763, 13206, 518, 5174, 657, 577, 1184, 454, 763, 13206, 518, 1184, 729, 2919, 676, 4436, 2447, 626, 674, 761, 345, 13206, 518, 538, 476, 5002, 280, 945, 4421, 519, 1184, 547, 3114, 2754, 32577, 293, 269, 1358, 8655, 14161, 18548, 577, 547, 4336, 621, 909, 547, 606, 4853, 1184, 269, 13206, 518, 729, 13752, 519, 17587, 15356, 538, 476, 4489, 279, 267, 609, 18548, 577, 8391, 835, 538, 476, 4350, 272, 267, 585, 741, 960, 593, 20408, 519, 3114, 543, 4702, 2042, 15054, 676, 20342, 2504, 269, 0, 18184, 1841, 15369, 717, 15665, 281, 2776, 14083, 5525, 547, 10829, 1518, 15448, 538, 589, 8997, 543, 15465, 9906, 20409, 12542, 1496, 30631, 26850, 518, 2639, 7197, 2257, 267, 2029, 267, 4702, 267, 543, 6128, 630, 23727, 264, 2362, 2069, 16929, 8415, 14805, 894, 6060, 2861, 21249, 1949, 547, 2708, 2875, 2773, 269, 11621, 2861, 21249, 568, 606, 4244, 4879, 1935, 5473, 519, 1463, 6482, 540, 2875, 1646, 2509, 1808, 1576, 6859, 269, 9906, 1646, 568, 27424, 1210, 513, 4441, 9740, 1867, 2864, 982, 26471, 835, 6066, 1367, 8464, 547, 2875, 10467, 269, 15815, 582, 2090, 941, 5342, 538, 2789, 13241, 6030, 547, 2708, 519, 24099, 1871, 540, 4441, 2861, 21249, 543, 922, 1764, 593, 2875, 5042, 543, 28146, 5615, 269, 589, 8997, 2623, 729, 6027, 676, 12570, 2242, 538, 1053, 685, 1582, 30797, 543, 519, 1871, 5116, 593, 4441, 2861, 21249, 269, 15465, 2623, 729, 6027, 676, 12570, 1053, 685, 2702, 547, 1174, 1576, 2035, 543, 741, 26381, 1670, 4978, 540, 13241, 1702, 269, 901, 6881, 6227, 519, 2949, 1374, 543, 2497, 540, 4441, 2861, 21249, 267, 4767, 6388, 1655, 2853, 267, 543, 513, 4901, 540, 6027, 2242, 538, 2875, 28146, 543, 5042, 5615, 4611, 689, 713, 1062, 563, 299, 4875, 786, 581, 3177, 269, 7490, 19954, 29262, 547, 4757, 11333, 2593, 610, 1535, 5952, 279, 5780, 563, 1607, 1982, 786, 581, 3381, 543, 8301, 7148, 539, 543, 949, 581, 15264, 269, 1635, 707, 8348, 7589, 538, 519, 1982, 267, 596, 2769, 569, 543, 9048, 22106, 2406, 9844, 547, 581, 13227, 1117, 267, 2756, 582, 9464, 543, 5924, 8301, 7148, 539, 543, 20926, 11305, 1243, 269, 634, 8874, 267, 7148, 525, 267, 543, 824, 3059, 19827, 786, 1831, 519, 3959, 540, 519, 4741, 540, 9752, 28742, 267, 30838, 308, 269, 0, 4467, 7065, 532, 2244, 3096, 723, 1831, 513, 3810, 1857, 2213, 3390, 538, 2487, 3275, 267, 609, 519, 2085, 2025, 6683, 18627, 5599, 7521, 11173, 269, 634, 7269, 540, 10821, 1609, 919, 883, 12926, 6694, 2127, 543, 1007, 6080, 971, 607, 5755, 9378, 3154, 723, 2451, 1082, 7255, 827, 519, 2530, 540, 3810, 11327, 6694, 2244, 563, 1103, 3210, 267, 519, 4972, 540, 5113, 543, 12754, 5004, 630, 29308, 300, 264, 9307, 519, 21864, 15867, 6137, 8092, 3609, 5943, 538, 4864, 476, 1001, 271, 269, 634, 3609, 814, 1631, 1044, 3803, 2213, 543, 568, 4397, 547, 581, 8045, 2663, 713, 1032, 269, 769, 519, 29291, 267, 27139, 12417, 8506, 1007, 3785, 547, 2015, 2360, 593, 21864, 15867, 6137, 8092, 723, 1044, 8045, 543, 3576, 1198, 689, 476, 4029, 2904, 476, 1001, 272, 269, 4329, 1344, 593, 519, 27139, 12417, 568, 2139, 693, 912, 300, 2355, 540, 2127, 538, 799, 21864, 15867, 6137, 8092, 568, 4397, 547, 2049, 723, 1044, 5950, 543, 666, 581, 9763, 693, 912, 3682, 12723, 7355, 585, 7114, 21864, 15867, 6137, 8092, 941, 5950, 676, 519, 667, 2207, 300, 538, 4989, 476, 1001, 272, 269, 1452, 7355, 2697, 29676, 538, 3037, 4162, 11341, 547, 9386, 267, 3037, 3178, 267, 3037, 9063, 543, 24952, 799, 786, 9594, 519, 2244, 547, 581, 9286, 607, 21864, 15867, 6137, 8092, 269, 774, 637, 9302, 585, 891, 7355, 4268, 585, 1114, 2694, 540, 519, 1533, 269, 4014, 713, 21205, 568, 711, 6405, 267, 621, 814, 1044, 2966, 547, 5512, 4879, 540, 2436, 513, 3959, 779, 11934, 666, 581, 11008, 2213, 607, 21864, 15867, 6137, 8092, 269, 634, 6069, 7355, 666, 581, 9763, 693, 912, 10702, 4808, 827, 875, 547, 4019, 519, 7355, 693, 513, 3959, 1377, 616, 4397, 547, 581, 5950, 676, 667, 2207, 300, 538, 519, 2282, 2104, 269, 0, 27455, 1652, 6705, 616, 6849, 29695, 14226, 538, 9031, 269, 1358, 616, 11613, 8200, 2390, 519, 4341, 540, 2462, 2244, 14935, 267, 1256, 538, 741, 4357, 1272, 269, 1358, 2461, 7683, 26884, 267, 9308, 267, 8231, 958, 543, 16770, 267, 543, 949, 581, 6854, 29802, 1247, 789, 723, 1100, 960, 563, 2691, 2978, 1681, 538, 519, 4610, 267, 789, 616, 5701, 607, 10437, 269, 3245, 546, 23677, 547, 21554, 267, 789, 2901, 22036, 519, 1085, 528, 4221, 3002, 610, 695, 1853, 538, 519, 4411, 269, 4256, 7953, 616, 5832, 539, 267, 543, 616, 1256, 17792, 1569, 547, 1426, 269, 1452, 26220, 20148, 525, 616, 4742, 21950, 543, 21950, 1055, 519, 1973, 540, 519, 4057, 4600, 543, 616, 11543, 2810, 1852, 540, 519, 1533, 563, 288, 635, 8565, 9619, 519, 476, 4792, 628, 16683, 540, 519, 2669, 538, 590, 785, 327, 11662, 540, 631, 2967, 645, 4157, 6255, 1177, 541, 267, 513, 4057, 16027, 4807, 945, 5249, 538, 519, 4610, 269, 2701, 1185, 1100, 6101, 2069, 267, 855, 1352, 1185, 1390, 1362, 9637, 269, 2701, 15189, 547, 3398, 519, 865, 10777, 4031, 19775, 676, 32540, 561, 3581, 630, 1633, 14935, 13956, 550, 689, 18211, 10635, 6483, 264, 547, 1852, 519, 2324, 1362, 269, 589, 12703, 11832, 267, 1352, 11542, 16119, 1996, 1007, 2409, 540, 14226, 543, 13604, 729, 18272, 3990, 676, 891, 3532, 20148, 525, 563, 763, 635, 8565, 7074, 602, 1200, 2669, 23185, 10845, 1851, 519, 27998, 1996, 32540, 561, 3581, 267, 11121, 873, 547, 5706, 543, 27693, 1996, 15746, 543, 14226, 563, 3725, 845, 3143, 15240, 3482, 585, 7169, 454, 3891, 1500, 1010, 1448, 10978, 543, 2312, 602, 1510, 606, 3486, 21340, 4838, 649, 3112, 9004, 891, 3765, 7685, 269, 1261, 6045, 602, 519, 6560, 1996, 28867, 3581, 568, 2620, 268, 549, 6838, 538, 9031, 269, 3509, 4057, 27998, 723, 14894, 539, 741, 2729, 538, 519, 4339, 1996, 14226, 855, 519, 3510, 18387, 1406, 4957, 269, 3778, 18327, 602, 6963, 6560, 3112, 581, 513, 12990, 585, 4838, 563, 763, 27998, 7466, 7142, 519, 17710, 547, 14773, 2244, 15024, 267, 538, 476, 4198, 280, 543, 476, 3192, 273, 267, 855, 519, 20148, 525, 1031, 891, 15024, 547, 31376, 721, 269, 1358, 1705, 713, 676, 8380, 513, 1698, 593, 519, 2179, 540, 2244, 606, 1367, 666, 1378, 855, 711, 593, 519, 2179, 513, 1920, 666, 10536, 269, 3414, 1082, 14074, 543, 3138, 2684, 3421, 267, 519, 28867, 3581, 941, 4847, 547, 4483, 2244, 3564, 519, 1698, 547, 741, 1453, 543, 14077, 269, 1401, 3319, 687, 941, 11292, 585, 15250, 1841, 267, 13184, 11396, 543, 5458, 10122, 2127, 563, 27860, 1227, 267, 1082, 1164, 2229, 8387, 1031, 891, 15024, 547, 10536, 2244, 538, 590, 785, 327, 543, 23570, 16899, 693, 24215, 1970, 5777, 267, 1210, 741, 4013, 3256, 547, 2333, 741, 5763, 269, 4935, 513, 1007, 1362, 540, 28867, 3581, 7153, 547, 14556, 1518, 519, 14226, 540, 519, 2324, 1362, 563, 3086, 476, 1240, 2929, 3484, 4600, 267, 827, 476, 3583, 2600, 540, 519, 3003, 960, 268, 4403, 267, 723, 1100, 1318, 547, 9769, 1125, 6862, 10891, 1694, 15564, 610, 16716, 269, 4107, 616, 5701, 607, 10437, 267, 8391, 1152, 10464, 1426, 585, 741, 2182, 4074, 269, 634, 635, 8565, 15091, 602, 547, 30817, 713, 14226, 649, 1590, 1628, 606, 3486, 21340, 3350, 267, 3366, 676, 623, 10861, 267, 543, 3715, 4600, 685, 1379, 269, 0, 2080, 568, 5618, 6609, 827, 22629, 12500, 714, 454, 268, 634, 957, 540, 32485, 610, 519, 1533, 540, 1373, 7409, 1243, 563, 268, 634, 26813, 18638, 17581, 676, 4244, 4224, 6512, 29961, 27725, 518, 563, 268, 769, 22128, 3069, 568, 1759, 593, 519, 2596, 13429, 602, 267, 1282, 519, 2773, 540, 1022, 2790, 4305, 267, 799, 3340, 513, 5934, 540, 2790, 4674, 267, 519, 1641, 2965, 4422, 998, 513, 3126, 540, 20367, 2829, 540, 30411, 630, 12061, 22086, 264, 543, 3007, 630, 1740, 1916, 268, 4317, 22629, 568, 513, 6857, 610, 32436, 23061, 676, 513, 1268, 540, 7180, 540, 513, 1514, 2470, 269, 0, 9767, 978, 4436, 12677, 8004, 3957, 12756, 32400, 12236, 513, 1747, 538, 454, 20931, 676, 8744, 1216, 547, 666, 12061, 1212, 9749, 538, 519, 3002, 540, 12316, 454, 8705, 12959, 269, 19612, 2221, 607, 968, 300, 14709, 16381, 7815, 2223, 1352, 3576, 1200, 454, 327, 639, 7171, 779, 1747, 267, 812, 940, 519, 25044, 267, 950, 646, 729, 7166, 538, 519, 454, 289, 4490, 540, 3933, 17625, 538, 10082, 279, 563, 6977, 273, 543, 476, 6977, 275, 267, 811, 982, 3368, 513, 2929, 16586, 8452, 538, 1715, 3840, 563, 7212, 1034, 4436, 31787, 12306, 538, 24607, 693, 1101, 267, 789, 454, 321, 1122, 534, 547, 1847, 547, 19803, 547, 3715, 11396, 543, 7017, 519, 3768, 324, 975, 539, 454, 732, 553, 269, 4256, 9295, 547, 19803, 685, 2038, 1646, 666, 1869, 581, 454, 1492, 1034, 7298, 543, 1279, 9434, 4436, 12677, 1920, 2012, 538, 454, 20075, 839, 568, 23415, 3118, 267, 4583, 585, 519, 32058, 657, 602, 7703, 741, 2012, 547, 713, 454, 1485, 269, 27336, 1516, 538, 476, 6977, 271, 593, 513, 9252, 518, 689, 519, 4436, 2823, 2749, 540, 454, 17954, 5443, 267, 513, 7986, 1715, 3840, 11356, 7396, 5261, 23415, 3118, 607, 835, 454, 1993, 519, 2749, 779, 476, 6110, 2929, 320, 2231, 476, 3451, 1296, 2663, 563, 3519, 2784, 8547, 5441, 8672, 1141, 646, 14475, 12285, 543, 1786, 342, 563, 306, 12888, 1811, 3459, 5663, 538, 24607, 538, 476, 6977, 274, 267, 609, 513, 12051, 593, 454, 309, 541, 1157, 9335, 269, 769, 476, 6942, 271, 267, 1175, 1079, 1296, 2476, 689, 9513, 741, 454, 1839, 267, 1822, 628, 14440, 267, 519, 23415, 1811, 11751, 513, 544, 6416, 4092, 593, 476, 3199, 14143, 538, 454, 22349, 18319, 267, 19803, 269, 2201, 8734, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 10007, 1031, 585, 10609, 340, 14673, 781, 18158, 568, 513, 12457, 3917, 3641, 11954, 1003, 332, 592, 924, 14680, 543, 12851, 547, 519, 631, 758, 3430, 600, 5250, 269, 634, 717, 21289, 844, 1551, 625, 1152, 9114, 513, 7008, 4627, 7397, 5045, 689, 519, 18158, 540, 10609, 340, 14673, 269, 3973, 519, 29415, 3294, 1141, 519, 18158, 6013, 729, 849, 1031, 585, 29170, 11538, 10007, 16804, 14766, 316, 10674, 2517, 4178, 269, 3832, 3591, 1790, 344, 1090, 728, 26716, 270, 16223, 340, 14673, 1790, 344, 1090, 573, 270, 7723, 6709, 1551, 625, 11258, 258, 326, 21289, 22535, 14766, 2639, 2414, 2070, 519, 4087, 3877, 543, 519, 5616, 10934, 5225, 1129, 538, 610, 11578, 606, 2272, 563, 28989, 267, 972, 616, 1100, 6054, 4867, 2139, 269, 1403, 596, 723, 1022, 6054, 596, 666, 2671, 5225, 4945, 519, 1412, 308, 22744, 513, 11657, 262, 9184, 269, 0, 2421, 18280, 9233, 2593, 27084, 29831, 10906, 590, 984, 529, 7288, 454, 2026, 835, 540, 519, 9510, 10764, 538, 519, 1158, 267, 17194, 568, 4904, 609, 6698, 602, 4163, 1713, 2495, 547, 21071, 563, 5445, 616, 606, 1898, 851, 540, 519, 5132, 543, 616, 1419, 1031, 607, 2645, 585, 3450, 519, 4984, 547, 1866, 269, 1635, 13830, 519, 6698, 538, 29656, 18705, 14446, 267, 649, 31600, 666, 723, 513, 3232, 12576, 540, 741, 5132, 607, 1134, 607, 606, 25752, 5979, 558, 585, 8429, 593, 547, 2104, 5481, 269, 3371, 616, 476, 1015, 540, 519, 1283, 7225, 24191, 14446, 6272, 563, 7775, 681, 30266, 267, 538, 12355, 269, 634, 533, 727, 28699, 622, 568, 513, 3090, 540, 681, 9655, 25300, 534, 1695, 543, 5156, 547, 723, 12090, 689, 519, 4583, 11945, 689, 519, 12567, 540, 3798, 523, 269, 901, 4829, 729, 3810, 12595, 543, 8179, 1310, 2429, 519, 11335, 267, 607, 519, 2960, 729, 1031, 607, 513, 16185, 585, 11746, 11988, 543, 519, 5452, 585, 513, 20004, 269, 898, 568, 513, 3090, 540, 1272, 543, 568, 13881, 585, 1434, 9939, 563, 280, 269, 9147, 2701, 330, 1564, 454, 4322, 11113, 2099, 519, 2724, 602, 729, 2016, 538, 24744, 538, 5111, 476, 26392, 14514, 267, 610, 1282, 519, 942, 540, 519, 2034, 11454, 269, 1703, 729, 1390, 11685, 547, 519, 2679, 540, 713, 11454, 543, 1082, 21705, 7642, 8329, 547, 519, 1788, 267, 11488, 2724, 689, 2484, 3544, 519, 8092, 540, 5840, 269, 898, 3576, 936, 476, 736, 1296, 547, 2347, 519, 11454, 269, 634, 3504, 1352, 330, 1564, 21843, 519, 15093, 543, 11428, 540, 1346, 7642, 563, 763, 2701, 30448, 568, 513, 3090, 540, 6014, 7115, 269, 3213, 1231, 5641, 585, 2367, 779, 610, 2021, 779, 14446, 1107, 899, 3946, 727, 1352, 30448, 524, 4428, 31904, 1107, 1331, 11052, 543, 1202, 18587, 609, 513, 12162, 547, 7225, 320, 3821, 281, 513, 12355, 15564, 8282, 669, 531, 823, 543, 513, 7936, 609, 533, 727, 28699, 919, 267, 835, 540, 519, 18599, 15661, 540, 5840, 563, 22818, 835, 540, 519, 1034, 11599, 6698, 540, 17194, 267, 519, 2367, 528, 1695, 568, 513, 5722, 1532, 3757, 3481, 4796, 601, 629, 5300, 1031, 538, 13527, 269, 898, 568, 3622, 6444, 607, 513, 3090, 540, 5840, 267, 1141, 621, 568, 1031, 607, 513, 968, 2775, 21349, 519, 6082, 1848, 634, 2367, 528, 1695, 540, 12390, 4157, 27204, 814, 8370, 8371, 543, 1142, 3781, 1282, 519, 5216, 2395, 540, 12390, 4157, 27204, 513, 1007, 23156, 568, 1396, 269, 5221, 952, 713, 267, 14446, 6752, 539, 547, 1413, 899, 513, 2367, 528, 1695, 568, 2442, 1282, 12390, 4157, 27204, 563, 763, 3090, 540, 519, 22560, 568, 602, 540, 513, 1079, 11804, 1194, 20801, 267, 2147, 547, 519, 3283, 1031, 538, 6014, 17633, 269, 634, 2012, 4016, 547, 519, 2947, 2835, 540, 15584, 281, 19606, 267, 31519, 267, 2274, 10903, 16307, 267, 10606, 543, 1546, 17458, 16860, 267, 607, 1134, 607, 519, 3003, 6014, 23573, 269, 634, 20801, 338, 616, 835, 540, 519, 2868, 5006, 540, 6698, 547, 7642, 269, 8061, 719, 9439, 666, 5957, 14446, 547, 1397, 1866, 741, 7029, 547, 741, 5132, 563, 276, 269, 28763, 4472, 1695, 993, 340, 2280, 454, 298, 629, 4472, 1695, 568, 513, 6014, 28897, 602, 11414, 827, 1272, 267, 519, 7122, 543, 938, 1378, 30441, 269, 898, 568, 1759, 593, 1950, 2093, 602, 9446, 519, 4276, 1063, 2696, 267, 812, 543, 782, 824, 13144, 269, 2549, 2544, 1206, 543, 5657, 1143, 753, 616, 5156, 547, 723, 513, 7067, 1198, 593, 519, 649, 13145, 779, 1560, 543, 9997, 269, 1358, 616, 849, 2219, 547, 20758, 1055, 519, 9409, 3750, 563, 1607, 2442, 3090, 568, 519, 12355, 2262, 585, 2713, 267, 1500, 909, 540, 519, 1079, 5022, 4258, 527, 543, 962, 617, 269, 2368, 649, 31600, 3494, 621, 4016, 547, 519, 2713, 2696, 267, 1247, 824, 2161, 621, 4564, 17194, 779, 3661, 538, 519, 2956, 540, 1272, 269, 634, 3090, 7389, 1394, 547, 10120, 8050, 543, 814, 1044, 538, 3586, 946, 2094, 1287, 269, 634, 547, 770, 267, 561, 685, 577, 3554, 267, 1797, 2048, 1729, 1272, 9957, 8409, 945, 7747, 17194, 1246, 519, 2596, 3741, 22993, 676, 519, 3090, 281, 11587, 267, 2219, 6888, 267, 1582, 16531, 543, 6967, 1434, 5991, 25733, 563, 1607, 568, 513, 18935, 1242, 1688, 267, 543, 8197, 267, 4564, 519, 1688, 540, 2696, 269, 898, 568, 513, 8825, 3090, 267, 1419, 530, 3754, 538, 8988, 267, 8744, 922, 8227, 9939, 267, 1072, 267, 8788, 543, 1434, 19539, 267, 782, 1247, 530, 8973, 1055, 519, 9409, 3750, 269, 1703, 616, 1082, 8747, 540, 519, 1688, 267, 930, 602, 1331, 519, 9409, 3750, 20758, 267, 513, 533, 727, 28699, 622, 267, 519, 10060, 540, 6424, 267, 543, 6698, 540, 19001, 269, 634, 17208, 14853, 543, 11909, 344, 11263, 2099, 519, 8115, 1063, 2696, 543, 812, 563, 273, 269, 645, 1652, 532, 8546, 454, 4322, 13740, 4196, 607, 20805, 1218, 585, 8405, 331, 2167, 543, 616, 2356, 1500, 540, 10322, 1782, 8988, 269, 18234, 4564, 1769, 543, 19454, 547, 1346, 540, 519, 6014, 5132, 269, 589, 29656, 2854, 27403, 610, 513, 751, 15640, 1695, 630, 297, 28779, 11755, 264, 568, 5402, 2854, 267, 1287, 17332, 883, 519, 8546, 269, 12338, 268, 8083, 538, 519, 8546, 1577, 1004, 1294, 2694, 540, 519, 11755, 621, 3568, 269, 634, 20805, 656, 568, 1287, 25552, 1354, 621, 568, 2016, 607, 513, 10516, 563, 272, 269, 10060, 540, 6424, 454, 288, 7623, 540, 1079, 31164, 12730, 267, 513, 10060, 540, 6424, 568, 835, 540, 519, 1034, 1271, 6698, 538, 6014, 5132, 269, 898, 7389, 1394, 547, 476, 1691, 628, 2540, 2342, 267, 1141, 621, 729, 1031, 593, 6014, 17514, 269, 12267, 2995, 21071, 602, 519, 3090, 12090, 593, 519, 13104, 602, 6424, 5645, 950, 646, 4682, 547, 1793, 599, 717, 10008, 987, 269, 2201, 519, 18303, 9206, 267, 621, 4564, 519, 16219, 2244, 269, 634, 18595, 1456, 540, 519, 1079, 12730, 568, 849, 2219, 547, 1796, 585, 519, 4276, 540, 1312, 540, 519, 7516, 540, 2696, 267, 602, 568, 22560, 543, 5840, 563, 297, 1168, 601, 787, 609, 891, 6698, 2306, 585, 513, 1360, 2027, 10516, 267, 547, 1312, 7642, 543, 1875, 11219, 31974, 7567, 269, 30449, 513, 8405, 331, 864, 609, 513, 17681, 1085, 5034, 23156, 267, 3501, 585, 11755, 543, 2053, 540, 26126, 269, 634, 1883, 1934, 568, 547, 1577, 707, 6418, 5132, 581, 707, 3391, 950, 7446, 12572, 14446, 1107, 891, 616, 1175, 513, 1906, 10372, 543, 1806, 269, 0, 4415, 782, 519, 2757, 2853, 267, 519, 1913, 1412, 332, 8221, 543, 10357, 7874, 262, 666, 2760, 2291, 1927, 269, 3245, 24386, 707, 11720, 539, 22590, 267, 7738, 707, 1753, 547, 24317, 707, 1919, 547, 519, 1007, 1753, 267, 3388, 28746, 938, 17866, 4541, 269, 634, 1875, 1532, 1675, 22869, 24386, 2326, 1118, 519, 1604, 14432, 543, 519, 3560, 6472, 4734, 741, 3327, 29066, 1360, 1134, 269, 2060, 782, 891, 14763, 540, 1604, 2921, 972, 17167, 267, 938, 4541, 3618, 568, 9561, 922, 4390, 547, 22036, 873, 563, 3719, 952, 2576, 2731, 30128, 267, 606, 13476, 3743, 544, 1478, 666, 798, 513, 2603, 540, 1919, 547, 3565, 513, 2370, 269, 2913, 721, 1294, 875, 912, 16675, 7738, 1570, 281, 589, 1390, 4308, 540, 7738, 568, 3238, 1282, 513, 1847, 269, 6787, 621, 568, 1644, 547, 707, 1007, 1753, 610, 519, 835, 596, 616, 6028, 3297, 269, 6153, 5666, 540, 7738, 2472, 616, 2838, 538, 713, 1184, 269, 1924, 267, 1354, 3803, 1944, 519, 835, 596, 3513, 4444, 267, 1224, 998, 519, 5820, 1592, 547, 1118, 2386, 789, 616, 782, 2067, 269, 1358, 12582, 1405, 581, 1875, 1532, 1675, 22869, 543, 6757, 538, 2470, 563, 10673, 1405, 3640, 1018, 596, 1810, 1405, 991, 281, 26805, 519, 2179, 540, 1919, 596, 1491, 547, 519, 1007, 1753, 666, 3648, 6175, 519, 3113, 540, 519, 3463, 596, 10460, 547, 1604, 269, 1849, 582, 1127, 267, 11647, 267, 10887, 543, 1022, 13311, 6221, 666, 581, 2016, 538, 519, 17493, 610, 4421, 538, 25880, 6455, 269, 901, 786, 2569, 519, 3327, 29066, 547, 513, 1434, 2179, 563, 16675, 3560, 281, 19889, 7888, 3001, 6472, 616, 513, 3787, 1942, 17067, 982, 519, 2757, 3283, 855, 1419, 3565, 547, 519, 3039, 1158, 269, 2368, 540, 519, 1434, 8851, 543, 4859, 3549, 946, 971, 2853, 269, 1924, 1354, 596, 3950, 513, 3001, 2754, 267, 1118, 2386, 602, 621, 1246, 782, 519, 1604, 4507, 22992, 269, 2037, 638, 790, 827, 1018, 2186, 540, 4492, 789, 946, 538, 6472, 286, 1684, 789, 946, 20125, 2009, 8905, 547, 2569, 4492, 4616, 286, 1656, 1082, 971, 2055, 1058, 581, 4280, 676, 3743, 4961, 269, 901, 1259, 596, 786, 581, 2111, 547, 3565, 513, 2603, 547, 707, 4541, 563, 8196, 6691, 762, 24386, 1570, 281, 634, 2101, 851, 540, 3463, 568, 15054, 676, 519, 1875, 268, 6691, 762, 11183, 2326, 269, 1358, 616, 1031, 538, 7899, 269, 3509, 8851, 543, 4859, 3549, 723, 3323, 547, 1683, 10357, 7874, 267, 23431, 24386, 10833, 269, 1452, 10833, 616, 711, 17866, 543, 789, 1118, 2386, 602, 1256, 519, 1034, 10347, 22590, 786, 1118, 621, 547, 707, 1753, 269, 1635, 1739, 713, 10357, 7888, 3535, 5674, 537, 666, 711, 1152, 4688, 519, 1604, 855, 666, 849, 4688, 930, 942, 269, 0, 763, 1599, 5352, 513, 9352, 2520, 648, 325, 22235, 512, 858, 269, 9717, 519, 5119, 547, 2099, 607, 3239, 543, 519, 6152, 5627, 2520, 648, 325, 17182, 2798, 267, 513, 9352, 512, 604, 3239, 30285, 339, 604, 264, 3758, 543, 513, 1158, 3758, 30285, 339, 325, 342, 264, 2404, 609, 519, 3239, 616, 2016, 538, 3977, 676, 519, 1599, 563, 22068, 7079, 334, 26450, 1245, 334, 630, 1708, 272, 1040, 2637, 5028, 307, 858, 13328, 630, 10059, 2517, 4178, 269, 4118, 4103, 2593, 270, 3901, 18350, 25218, 11721, 850, 1410, 4219, 270, 27123, 2412, 19356, 520, 858, 16447, 1070, 30731, 6239, 11711, 16510, 269, 8158, 4586, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 256, 9359, 15391, 532, 256, 0, 305, 585, 4578, 3163, 910, 681, 4578, 3163, 9669, 267, 10298, 543, 11150, 454, 259, 26482, 23911, 5295, 256, 281, 634, 18043, 6651, 454, 259, 279, 2412, 11328, 5562, 4578, 10439, 1436, 585, 519, 5680, 630, 26261, 3724, 994, 259, 272, 267, 24496, 28308, 4804, 609, 5124, 630, 26261, 3724, 994, 268, 10812, 681, 779, 1883, 2934, 543, 3605, 1946, 621, 729, 3710, 585, 1239, 2257, 454, 268, 3245, 1239, 5599, 547, 2079, 543, 14839, 910, 1451, 1142, 1900, 538, 519, 1239, 20104, 454, 268, 5192, 3323, 609, 16762, 12642, 609, 681, 781, 3532, 3684, 1565, 15004, 454, 13014, 2386, 596, 2461, 4712, 547, 10994, 8262, 4578, 609, 681, 585, 4578, 3163, 269, 23095, 547, 948, 596, 10244, 681, 543, 922, 3573, 2039, 540, 3621, 2645, 585, 513, 2647, 2039, 540, 1239, 2079, 4247, 267, 713, 1433, 6227, 519, 4909, 2609, 540, 1239, 2257, 689, 1239, 5599, 547, 1239, 2079, 547, 14839, 269, 1403, 596, 1616, 547, 1451, 519, 5767, 5969, 12967, 2553, 1373, 1031, 676, 1239, 3744, 267, 543, 547, 1995, 519, 3573, 2934, 543, 1379, 540, 681, 267, 1246, 1142, 1900, 538, 713, 4105, 4015, 540, 1239, 2257, 18862, 563, 763, 1433, 568, 7745, 1524, 883, 2185, 6810, 1107, 1239, 5599, 267, 1239, 2079, 543, 1239, 14839, 543, 3684, 1565, 267, 4180, 602, 596, 2744, 4030, 883, 519, 4295, 3334, 540, 1239, 2257, 269, 6258, 1114, 1239, 5599, 3270, 543, 9696, 282, 1205, 547, 17680, 1186, 609, 519, 5767, 538, 1257, 5599, 267, 543, 1287, 2263, 513, 2039, 540, 4485, 547, 1239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 646, 7550, 1082, 540, 519, 2093, 540, 824, 3056, 5515, 538, 519, 1480, 1894, 1153, 269, 6355, 27750, 13456, 17648, 1100, 5539, 585, 1022, 6959, 610, 14796, 16109, 269, 4475, 9946, 991, 711, 723, 1152, 547, 2170, 609, 741, 1016, 24002, 607, 1480, 7919, 563, 763, 800, 2473, 543, 7869, 962, 829, 1555, 547, 9441, 8404, 543, 723, 1044, 1031, 538, 1480, 4199, 2359, 267, 10721, 2623, 2079, 267, 543, 10721, 1646, 269, 634, 3328, 9441, 568, 27823, 267, 695, 12584, 5539, 267, 568, 711, 16529, 267, 2115, 4287, 543, 21246, 958, 13821, 3354, 269, 634, 5545, 1185, 4362, 1945, 602, 729, 4758, 873, 519, 8013, 6316, 269, 4340, 547, 17755, 2958, 528, 267, 9946, 12561, 7869, 2473, 8263, 602, 4600, 3622, 771, 3697, 960, 740, 1590, 581, 7142, 547, 798, 741, 6009, 269, 589, 1007, 635, 518, 2141, 2115, 1010, 2816, 585, 17598, 5128, 676, 3478, 1426, 543, 12062, 799, 568, 513, 5626, 991, 269, 1717, 267, 9444, 540, 891, 26037, 568, 6099, 269, 4340, 547, 519, 19884, 5004, 28636, 282, 513, 1870, 3919, 607, 513, 28400, 1606, 3469, 1062, 609, 1454, 8561, 593, 519, 1480, 2427, 563, 4322, 1079, 15852, 11994, 17695, 1242, 875, 1004, 2070, 1480, 2623, 693, 960, 543, 10721, 1272, 281, 7869, 2473, 2060, 7869, 2473, 10054, 267, 2359, 781, 1909, 568, 547, 1071, 518, 576, 543, 1852, 5520, 269, 5192, 3902, 10530, 16010, 5274, 8249, 16373, 5303, 5004, 7869, 540, 19958, 17755, 2958, 528, 3528, 14639, 928, 20550, 4883, 328, 6355, 269, 2776, 564, 328, 962, 611, 822, 589, 802, 327, 599, 31016, 19789, 645, 269, 7869, 962, 3906, 849, 2285, 5520, 7928, 3255, 585, 13319, 269, 31740, 666, 581, 5499, 538, 6061, 10721, 2042, 563, 763, 800, 962, 7869, 962, 1163, 2432, 513, 2535, 894, 2511, 540, 2359, 602, 568, 632, 7266, 1537, 1242, 269, 1703, 616, 1082, 6436, 540, 8404, 6069, 676, 1585, 16895, 269, 590, 6423, 849, 519, 2376, 827, 2679, 1582, 21873, 267, 543, 7682, 4369, 2553, 269, 1403, 5265, 8045, 267, 971, 606, 1604, 666, 2333, 543, 16111, 4492, 8404, 607, 5520, 960, 547, 14183, 741, 2362, 7400, 2123, 2115, 998, 741, 6009, 269, 1677, 17755, 2958, 528, 267, 8404, 8604, 811, 2693, 609, 519, 7869, 962, 2203, 269, 31740, 786, 28111, 952, 789, 1745, 741, 2596, 2115, 585, 4747, 543, 3354, 786, 581, 1558, 269, 634, 5397, 949, 2097, 689, 606, 4835, 610, 5007, 2707, 269, 0, 763, 25166, 731, 540, 12484, 826, 454, 25205, 4580, 267, 1957, 267, 13504, 454, 14454, 630, 5141, 2216, 476, 2567, 476, 1724, 476, 272, 270, 273, 1535, 476, 279, 476, 274, 270, 275, 1535, 476, 272, 270, 275, 538, 269, 630, 4097, 269, 274, 1535, 476, 2420, 269, 273, 1535, 476, 271, 269, 277, 4699, 264, 15788, 630, 15411, 2567, 476, 1724, 476, 272, 270, 273, 1535, 476, 1704, 476, 276, 270, 279, 1535, 476, 272, 270, 279, 538, 269, 630, 4097, 269, 274, 1535, 476, 4510, 454, 305, 624, 9771, 267, 1979, 24670, 3014, 4604, 282, 3014, 9102, 593, 1957, 267, 1688, 23469, 267, 543, 15841, 593, 21312, 269, 10794, 3950, 7575, 4831, 12641, 1442, 3772, 1472, 513, 3950, 689, 2230, 476, 272, 538, 2539, 2451, 7944, 547, 2230, 476, 3607, 563, 763, 834, 305, 1168, 731, 540, 12484, 826, 2437, 835, 540, 519, 9998, 4604, 3756, 3370, 538, 3013, 267, 568, 5702, 1759, 593, 519, 2296, 3014, 834, 305, 1168, 731, 540, 8585, 527, 2437, 11827, 676, 6723, 16737, 543, 3370, 676, 3627, 20831, 543, 3627, 9931, 529, 538, 5507, 538, 476, 5197, 272, 269, 5637, 616, 5837, 3756, 538, 799, 5716, 5198, 1472, 513, 3950, 609, 476, 3607, 610, 476, 4391, 10945, 540, 12587, 543, 585, 10623, 1080, 543, 2832, 547, 581, 519, 1101, 547, 3914, 519, 834, 305, 1168, 731, 540, 12484, 826, 4799, 9558, 325, 1229, 689, 715, 25286, 9391, 7732, 454, 303, 3420, 1078, 689, 8644, 2421, 267, 11785, 267, 476, 4572, 278, 282, 634, 28477, 3203, 14635, 540, 4432, 773, 715, 12818, 2006, 454, 18814, 547, 5571, 1382, 267, 1344, 827, 713, 1843, 568, 1641, 547, 1689, 269, 0, 2304, 3486, 2319, 540, 3744, 814, 2813, 519, 1101, 3443, 2275, 22083, 1250, 322, 11893, 727, 693, 20393, 2443, 513, 5619, 540, 476, 3374, 2010, 540, 2860, 543, 741, 2404, 13271, 269, 634, 4681, 616, 3370, 538, 519, 4760, 8426, 563, 4692, 1356, 2281, 543, 17973, 723, 513, 1279, 543, 11972, 7681, 269, 5637, 723, 1071, 5271, 9407, 1369, 519, 8134, 540, 519, 1480, 1560, 267, 1419, 13461, 593, 519, 1482, 2200, 269, 26269, 585, 891, 2200, 1419, 5540, 519, 18643, 543, 6668, 540, 2860, 2281, 267, 17973, 543, 519, 1480, 3984, 563, 763, 7681, 1063, 2860, 543, 1367, 17973, 814, 1279, 1044, 6594, 2013, 8386, 30924, 267, 855, 1454, 2487, 3007, 6212, 593, 519, 2898, 1480, 22435, 267, 3226, 538, 519, 8937, 267, 799, 8075, 811, 2443, 543, 811, 3309, 2443, 2950, 540, 4551, 267, 8290, 543, 13271, 982, 9170, 3116, 538, 610, 593, 519, 1480, 1560, 563, 4913, 267, 519, 5107, 543, 3310, 540, 2860, 23938, 13271, 2611, 7361, 796, 13231, 1221, 543, 7164, 269, 674, 2426, 328, 616, 811, 7294, 7103, 982, 8290, 543, 4551, 269, 1358, 616, 24087, 4925, 2443, 7103, 609, 2281, 5627, 22140, 269, 4256, 2281, 616, 1454, 811, 2147, 547, 3662, 2281, 982, 547, 4551, 610, 8290, 563, 10527, 6228, 540, 13271, 538, 1034, 1480, 11871, 568, 1312, 513, 9983, 543, 547, 581, 4397, 2223, 1767, 519, 9972, 2278, 563, 17606, 568, 9670, 1317, 649, 1810, 1406, 917, 875, 13271, 1223, 1205, 883, 12970, 2429, 519, 1560, 269, 1809, 621, 568, 849, 4397, 1317, 621, 13352, 519, 4806, 540, 2635, 18117, 2345, 2429, 519, 1560, 267, 1519, 519, 8937, 267, 5023, 543, 2960, 267, 1141, 4551, 543, 13271, 2170, 607, 851, 540, 513, 1950, 2146, 3034, 293, 2426, 328, 1336, 593, 519, 1480, 1560, 2097, 538, 1079, 1292, 2010, 281, 2825, 13271, 267, 971, 607, 9493, 6814, 543, 9044, 602, 3622, 10460, 1100, 2800, 547, 1034, 2635, 1004, 267, 543, 862, 839, 531, 13271, 267, 799, 2661, 593, 610, 3330, 519, 1480, 1560, 543, 949, 581, 20027, 267, 1683, 513, 4324, 971, 607, 5355, 8937, 1072, 610, 3565, 547, 2068, 267, 971, 607, 13803, 5563, 610, 6797, 2068, 269, 674, 2426, 328, 849, 1404, 513, 1909, 538, 5935, 3984, 12046, 267, 585, 1732, 610, 8338, 267, 799, 3138, 1682, 1804, 538, 6375, 665, 20234, 668, 2213, 7606, 267, 1519, 2860, 2550, 563, 763, 1007, 1353, 1915, 3278, 519, 2860, 1250, 322, 11893, 727, 2443, 13271, 5532, 547, 11871, 2443, 538, 476, 1704, 267, 25002, 5439, 540, 3461, 8031, 267, 1973, 543, 11919, 2066, 476, 3374, 2010, 540, 2860, 538, 2185, 4830, 16649, 2176, 269, 634, 3173, 1336, 16507, 5027, 543, 2281, 538, 1970, 7039, 1734, 2066, 1082, 2101, 1480, 11871, 267, 609, 3604, 538, 2146, 15885, 602, 28209, 1851, 2860, 2010, 563, 10527, 4466, 602, 13271, 616, 4122, 1459, 538, 1480, 12970, 1058, 5397, 721, 547, 1732, 2263, 741, 1761, 2360, 543, 556, 7721, 8533, 3592, 3388, 649, 917, 827, 2860, 998, 513, 2048, 332, 2222, 6798, 727, 7828, 16224, 892, 1767, 1071, 2275, 528, 22046, 532, 2278, 563, 2304, 26087, 525, 602, 3379, 16507, 2950, 609, 20083, 3566, 328, 2345, 630, 1492, 9190, 5057, 540, 519, 22435, 264, 543, 6375, 2345, 630, 2102, 525, 543, 5946, 7587, 5024, 519, 4761, 1062, 264, 7000, 602, 519, 12205, 1063, 873, 941, 1419, 968, 11279, 1170, 633, 2223, 2864, 982, 8013, 563, 2690, 1383, 267, 835, 2249, 540, 13271, 729, 1336, 547, 581, 23353, 538, 6089, 2860, 12970, 540, 2550, 4587, 982, 476, 2004, 1296, 1247, 1776, 2249, 729, 16113, 10731, 538, 5761, 2860, 5439, 563, 763, 3173, 1767, 972, 941, 1713, 21374, 1063, 1808, 13271, 543, 2085, 267, 10510, 1016, 18196, 267, 7296, 4567, 267, 3210, 547, 6375, 8839, 543, 6668, 3800, 269, 6787, 519, 13271, 616, 3274, 17047, 610, 1757, 958, 2404, 3788, 547, 581, 5462, 563, 2108, 4322, 4681, 19472, 519, 2070, 602, 519, 22435, 538, 922, 30810, 568, 513, 1883, 4062, 540, 2860, 7350, 2223, 1767, 1353, 519, 1071, 27236, 267, 968, 663, 949, 1459, 1713, 6037, 1049, 3255, 267, 711, 1152, 538, 2860, 7020, 267, 855, 849, 538, 824, 1979, 1774, 577, 3156, 1644, 547, 3075, 1646, 267, 2860, 4720, 267, 8766, 15895, 2068, 267, 26739, 543, 13959, 26129, 3034, 10112, 1539, 725, 1063, 11871, 543, 13271, 454, 268, 476, 2568, 280, 5784, 0, 22129, 311, 779, 595, 4319, 268, 275, 20691, 723, 6192, 741, 3803, 21339, 585, 741, 5692, 547, 519, 4139, 6611, 13749, 1985, 3923, 269, 6611, 311, 595, 4319, 268, 275, 20691, 616, 8600, 585, 741, 14232, 8184, 547, 519, 4139, 6611, 13749, 630, 3041, 306, 264, 538, 519, 1985, 3923, 269, 18281, 674, 31867, 517, 267, 14732, 5062, 5141, 664, 267, 744, 5586, 23951, 517, 523, 14150, 267, 543, 25014, 3821, 2725, 597, 616, 519, 2185, 20691, 5697, 547, 8038, 593, 519, 595, 4319, 22900, 14361, 269, 901, 786, 581, 519, 1101, 12284, 539, 5692, 585, 6611, 311, 543, 786, 1665, 519, 2132, 540, 1480, 2230, 325, 2775, 547, 1977, 3037, 1310, 5216, 1296, 563, 298, 329, 749, 14811, 326, 1066, 543, 7585, 670, 1149, 540, 8331, 267, 25014, 3821, 20242, 9469, 543, 6341, 13183, 320, 595, 2077, 334, 1150, 26152, 689, 30673, 630, 28158, 6611, 10837, 1070, 616, 1305, 547, 10131, 593, 11016, 267, 4989, 476, 1428, 267, 20829, 513, 6611, 311, 595, 4319, 22900, 14361, 267, 29691, 513, 24415, 935, 476, 280, 15177, 267, 689, 32374, 13216, 476, 4375, 288, 693, 17394, 6611, 4741, 538, 8419, 563, 7712, 5412, 267, 519, 6611, 311, 595, 4319, 268, 275, 20691, 723, 1044, 8600, 585, 741, 1985, 3923, 779, 8184, 547, 519, 32199, 269, 901, 786, 581, 519, 1101, 812, 2740, 5692, 585, 6611, 311, 538, 936, 476, 273, 1296, 267, 543, 519, 20691, 616, 11235, 547, 1205, 1394, 883, 2230, 269, 1358, 723, 1044, 3257, 3573, 2866, 538, 1312, 20279, 543, 18293, 267, 543, 789, 616, 8746, 602, 789, 616, 4712, 585, 4376, 602, 949, 2097, 909, 563, 7212, 14811, 326, 1066, 543, 595, 2077, 334, 1150, 26152, 1312, 723, 1044, 547, 2230, 1354, 519, 595, 4319, 268, 275, 5692, 786, 581, 519, 1101, 585, 670, 1149, 610, 20242, 9469, 563, 290, 4319, 2818, 723, 1044, 8026, 585, 519, 14232, 5692, 693, 6611, 311, 10361, 18392, 538, 8316, 25079, 630, 30210, 264, 543, 693, 17394, 6611, 4741, 563, 27609, 725, 1331, 13502, 20829, 519, 595, 4319, 22900, 1138, 15975, 267, 799, 2934, 8184, 3146, 531, 2065, 10525, 267, 8800, 267, 543, 16295, 563, 290, 4319, 22900, 2866, 3322, 711, 1152, 1565, 6296, 4247, 855, 849, 875, 547, 6023, 6397, 3871, 593, 519, 14361, 267, 971, 607, 1062, 14286, 563, 2108, 8333, 6387, 14811, 326, 1066, 267, 12681, 670, 1149, 267, 3576, 741, 16295, 538, 519, 1647, 16295, 269, 1358, 723, 1569, 547, 8184, 10525, 602, 789, 666, 946, 547, 6895, 519, 4567, 540, 519, 14361, 543, 267, 952, 2556, 267, 1491, 8261, 1852, 1848, 8331, 7150, 563, 5445, 849, 3576, 513, 11878, 593, 6611, 311, 779, 22900, 6051, 6928, 267, 799, 786, 581, 1031, 547, 4584, 909, 519, 20691, 1310, 519, 10943, 1662, 6658, 269, 634, 20691, 849, 3893, 513, 4663, 540, 519, 6611, 311, 13793, 541, 267, 1141, 24415, 935, 476, 280, 23431, 31244, 616, 1373, 1201, 7875, 1639, 543, 4712, 585, 8184, 563, 19688, 779, 595, 4319, 268, 275, 5692, 786, 581, 476, 736, 3275, 1310, 6611, 311, 779, 1101, 12284, 539, 8184, 267, 799, 4718, 8331, 20691, 8935, 326, 15049, 2917, 1299, 7585, 2142, 18255, 5287, 8038, 519, 595, 4319, 22900, 14361, 689, 3047, 547, 519, 6728, 538, 519, 5915, 334, 268, 273, 1449, 5692, 563, 5475, 519, 3811, 30823, 523, 5692, 267, 6611, 311, 2366, 2185, 595, 4319, 268, 272, 12284, 2818, 547, 519, 32199, 538, 5437, 476, 1708, 271, 585, 513, 3670, 18881, 3251, 563, 22129, 2473, 595, 4319, 268, 275, 20691, 616, 8600, 585, 741, 1985, 3923, 779, 8184, 547, 519, 32199, 269, 634, 20691, 267, 945, 786, 581, 519, 1101, 547, 10131, 689, 1977, 3037, 538, 936, 476, 278, 1296, 267, 723, 1044, 2866, 2182, 585, 519, 2063, 1906, 3275, 269, 1358, 616, 3168, 4464, 547, 519, 4161, 540, 2230, 325, 2775, 543, 616, 9599, 547, 581, 513, 851, 540, 1686, 269, 0, 23322, 5071, 14301, 8871, 14186, 1556, 1295, 1224, 20091, 5384, 281, 476, 279, 3764, 454, 2467, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]