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
[ 0, 18257, 692, 396, 498, 3522, 21170, 14359, 19277, 7846, 13077, 23783, 21170, 3264, 24893, 25986, 6459, 3378, 562, 269, 2843, 507, 3522, 10528, 4138, 20732, 4138, 16021, 29824, 22147, 13077, 9261, 9261, 7846, 267, 17095, 3378, 26580, 13077, 9326, 16068, 10528, 16417, 9686, 3264, 31124, 20046, 31128, 15671, 3378, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 4709, 7846, 19628, 15800, 20413, 4138, 17221, 9261, 3522, 23783, 4709, 7846, 19628, 16044, 484, 4138, 32553, 4814, 9924, 780, 396, 353, 18775, 9261, 19277, 11714, 17153, 19757, 21162, 17153, 18194, 31606, 21162, 17153, 454, 396, 507, 3522, 11714, 17153, 19757, 29824, 22147, 13077, 9261, 9261, 3264, 10780, 19757, 3522, 20046, 31502, 16068, 9686, 21170, 14359, 19277, 7846, 13077, 23783, 21170, 3264, 24893, 25986, 6459, 3378, 780, 396, 353, 18775, 9261, 19277, 11714, 9924, 17153, 19757, 21162, 17153, 18194, 31606, 21162, 17153, 454, 396, 509, 4814, 22147, 13077, 9261, 9261, 3522, 18194, 17201, 21833, 20265, 11714, 9924, 8563, 3264, 13150, 4138, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 4709, 7846, 19628, 15800, 20413, 4138, 17221, 9261, 3522, 23783, 4709, 7846, 19628, 16044, 484, 4138, 32553, 4814, 9924, 11714, 8563, 29391, 12811, 4709, 22147, 3378, 24893, 25986, 20977, 630, 4736, 10780, 3378, 9326, 4736, 4709, 9326, 19628, 27569, 3264, 13953, 21660, 9686, 10528, 25986, 9841, 19628, 6393, 25456, 18452, 476, 272, 1384, 29214, 3583, 454, 25456, 19243, 476, 272, 1384, 396, 506, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 20265, 9326, 16044, 484, 4138, 32553, 13077, 476, 13077, 8563, 20265, 476, 278, 454, 396, 506, 4138, 17221, 9261, 3522, 23783, 20265, 9326, 16044, 484, 4138, 32553, 13077, 476, 13077, 8563, 20265, 476, 271, 692, 18257, 692, 11133, 815, 703, 9272, 15405, 258, 1003, 815, 476, 14695, 4097, 280, 276, 454, 2381, 272, 815, 476, 280, 454, 10946, 272, 815, 476, 271, 454, 6112, 1003, 11203, 476, 271, 912, 825, 1003, 272, 815, 1003, 4939, 476, 1015, 454, 825, 1948, 1820, 16325, 272, 994, 825, 952, 1003, 272, 3436, 3193, 272, 912, 1038, 3193, 272, 815, 1003, 272, 454, 825, 952, 1003, 272, 2999, 1295, 272, 912, 1038, 1295, 272, 815, 1003, 272, 454, 825, 1003, 815, 1003, 12262, 476, 1015, 454, 2745, 2891, 396, 506, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 20265, 9326, 16044, 484, 4138, 32553, 13077, 476, 13077, 8563, 20265, 2580, 3193, 272, 994, 2745, 2891, 396, 506, 4138, 17221, 9261, 3522, 23783, 20265, 9326, 16044, 484, 4138, 32553, 13077, 476, 13077, 8563, 20265, 2580, 1295, 272, 994, 0, 258, 4351, 2338, 454, 5814, 4351, 692, 15893, 815, 476, 271, 454, 11133, 318, 13765, 815, 476, 7742, 1822, 454, 1721, 1775, 538, 2039, 16325, 318, 13765, 2187, 825, 1948, 4351, 1297, 689, 476, 272, 547, 476, 277, 454, 825, 9059, 20311, 815, 4351, 27110, 263, 272, 267, 476, 277, 264, 476, 1948, 28314, 13077, 17221, 20500, 9924, 11714, 17153, 19757, 9326, 4344, 11714, 18194, 4138, 3522, 10528, 3522, 13194, 32648, 563, 825, 1948, 1820, 2891, 346, 20467, 634, 9059, 1297, 568, 281, 15079, 834, 269, 8971, 9217, 267, 9059, 20311, 4917, 825, 952, 9059, 20311, 2652, 476, 277, 912, 1038, 1297, 815, 1297, 1341, 476, 272, 454, 2745, 2891, 2791, 3893, 1297, 476, 277, 281, 15079, 2053, 2668, 8971, 28840, 4917, 22238, 815, 1297, 1315, 1003, 318, 13765, 2608, 476, 1911, 454, 2745, 6600, 262, 8563, 21268, 3378, 9326, 4344, 21170, 13150, 9841, 910, 2715, 22238, 348, 4939, 5073, 2745, 263, 1911, 1315, 2625, 994, 0, 333, 815, 703, 9272, 15405, 604, 562, 2652, 476, 272, 912, 825, 1820, 3799, 994, 12828, 912, 825, 2040, 272, 815, 476, 272, 454, 825, 2040, 273, 815, 476, 272, 454, 825, 1820, 4433, 636, 272, 267, 2040, 273, 267, 1439, 284, 3269, 994, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 910, 476, 272, 2187, 1038, 2040, 274, 815, 2040, 273, 1341, 2040, 272, 476, 1948, 476, 272, 1341, 476, 271, 282, 825, 476, 272, 1341, 476, 272, 815, 476, 273, 3248, 1038, 2040, 272, 815, 2040, 273, 476, 1948, 476, 272, 1363, 476, 273, 454, 1038, 2040, 273, 815, 2040, 274, 476, 1948, 476, 272, 1363, 476, 273, 454, 1038, 1820, 2891, 2580, 2040, 274, 267, 1439, 284, 3269, 994, 1038, 1948, 952, 562, 2652, 476, 272, 912, 1038, 1948, 672, 1820, 2891, 272, 2580, 834, 14307, 1439, 8782, 5073, 1038, 1948, 3116, 912, 1038, 1948, 672, 1820, 2891, 272, 2580, 834, 14307, 1439, 284, 3269, 994, 1038, 1948, 672, 2040, 272, 6834, 1775, 454, 1038, 1948, 672, 1820, 19304, 4433, 636, 272, 1070, 1439, 8782, 5073, 0, 692, 2745, 2891, 1822, 28794, 318, 6734, 318, 6860, 318, 14303, 9506, 5804, 31262, 5602, 2745, 4590, 2745, 2891, 1822, 28794, 318, 6734, 318, 6860, 318, 1410, 4905, 6958, 17313, 318, 8873, 5602, 3698, 3193, 3287, 11971, 2187, 14851, 1535, 285, 284, 344, 912, 453, 16596, 1535, 454, 28432, 912, 453, 16596, 586, 454, 2745, 9497, 10946, 263, 272, 267, 273, 2567, 2580, 3193, 263, 272, 267, 273, 4917, 258, 1820, 4590, 2745, 18011, 10946, 263, 275, 267, 278, 2567, 3299, 3193, 263, 275, 267, 278, 4917, 345, 284, 10946, 263, 279, 267, 276, 994, 2745, 18011, 10946, 263, 279, 267, 276, 2567, 3299, 1990, 2020, 2745, 4590, 2745, 2891, 1822, 28794, 318, 6734, 318, 6860, 4671, 2532, 4905, 6958, 17313, 318, 8873, 5602, 3698, 2110, 3287, 267, 586, 2187, 825, 952, 7003, 3287, 264, 2999, 7003, 12169, 2187, 1038, 2132, 1535, 454, 825, 3116, 912, 1038, 2132, 586, 454, 2745, 3488, 26211, 7268, 262, 31435, 315, 3299, 32075, 6062, 32075, 2567, 3299, 2110, 3488, 31435, 3299, 1412, 6062, 10807, 2020, 2745, 4590, 2745, 2891, 1822, 28794, 318, 6734, 318, 6860, 318, 1410, 6349, 6958, 17313, 318, 8873, 5602, 258, 17095, 19757, 10780, 25974, 6459, 3264, 16044, 482, 7846, 4709, 7549, 30530, 4138, 2132, 14359, 3264, 11714, 9924, 10528, 17201, 4709, 9326, 20046, 31502, 454, 3698, 2110, 3287, 11971, 2187, 14851, 7003, 3287, 264, 283, 6352, 12169, 2187, 453, 13537, 18011, 9686, 3378, 1422, 262, 8873, 32075, 5073, 453, 16596, 1535, 454, 453, 13537, 18011, 10528, 25974, 6459, 3264, 2132, 5073, 28432, 912, 453, 13537, 18011, 9686, 3378, 2132, 5073, 453, 16596, 586, 454, 453, 13537, 18011, 10528, 25974, 6459, 3264, 2132, 5073, 2745, 18011, 26211, 7268, 262, 31435, 315, 3299, 32075, 6062, 32075, 2567, 3299, 2110, 3488, 31435, 12887, 6062, 10807, 2020, 2745, 4590, 3698, 1039, 20311, 3287, 11971, 2187, 453, 20135, 815, 1535, 20742, 454, 16596, 2698, 454, 13537, 18011, 10472, 4465, 32075, 339, 581, 9102, 5073, 2745, 18011, 5417, 20311, 263, 275, 267, 276, 2567, 3299, 1039, 20311, 263, 275, 267, 276, 11723, 2745, 4590, 2745, 2891, 1822, 28794, 318, 6734, 318, 6860, 4671, 2532, 6349, 6958, 17313, 26174, 5602, 258, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 21170, 3264, 3378, 24893, 25986, 6459, 3378, 454, 3698, 1820, 5332, 4548, 10031, 825, 1820, 263, 272, 994, 825, 1820, 263, 273, 994, 825, 2132, 454, 825, 1948, 10780, 25974, 6459, 3264, 2132, 17095, 19757, 14359, 3264, 11714, 9924, 10528, 17201, 4709, 9326, 20046, 31502, 2336, 825, 1820, 263, 278, 994, 825, 1820, 263, 279, 994, 258, 476, 4344, 269, 7549, 269, 14359, 3264, 11714, 25338, 6459, 30718, 3264, 16044, 482, 7846, 7549, 4709, 30530, 4138, 267, 11714, 9924, 8563, 19757, 4138, 4344, 31502, 21660, 10780, 3264, 10948, 28476, 2336, 258, 10780, 23485, 10948, 27671, 267, 18194, 3378, 11714, 9924, 8563, 19757, 3522, 16044, 482, 7846, 4709, 7549, 30530, 4138, 267, 476, 4344, 269, 7549, 269, 16044, 482, 7846, 4709, 7549, 30530, 9326, 11714, 9924, 13194, 9924, 27593, 20046, 31502, 11714, 17095, 32648, 20500, 3264, 563, 2745, 263, 279, 994, 2745, 263, 280, 994, 2745, 5332, 4548, 4590, 0, 258, 4845, 815, 3403, 4590, 338, 27542, 815, 1412, 396, 509, 23485, 8563, 20046, 20413, 4138, 31589, 20413, 4138, 4814, 476, 476, 4344, 31589, 9686, 825, 20413, 3522, 13953, 7055, 258, 4845, 272, 815, 4845, 18622, 2897, 3488, 476, 22207, 1412, 30386, 2745, 2891, 338, 27542, 24333, 4845, 994, 338, 27542, 273, 815, 4845, 21858, 3488, 1412, 264, 476, 1948, 476, 13077, 13194, 9686, 3264, 31124, 27671, 15800, 4736, 17153, 19757, 21162, 13953, 476, 16021, 7549, 13150, 454, 2745, 2891, 338, 27542, 273, 24333, 4845, 273, 264, 476, 1948, 10780, 3264, 10948, 19277, 3522, 27671, 10780, 17201, 7846, 10948, 4138, 8563, 20732, 4138, 13953, 31502, 11012, 10528, 25986, 30718, 454, 330, 815, 476, 271, 454, 331, 815, 476, 271, 454, 6112, 737, 2999, 7003, 4433, 27542, 273, 2567, 476, 1948, 16068, 10528, 16417, 9686, 3264, 31124, 27671, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 16044, 491, 6459, 27671, 12811, 4344, 13833, 267, 25338, 3264, 13194, 27188, 10948, 20046, 3522, 29824, 29652, 3264, 6459, 13833, 454, 825, 952, 4845, 273, 25208, 316, 11203, 1412, 9166, 476, 1948, 20413, 5284, 370, 21170, 25338, 9924, 27188, 4736, 13833, 21268, 20732, 12811, 13150, 8563, 13833, 28476, 15800, 15800, 4736, 18547, 31224, 14359, 3264, 16648, 7846, 7549, 8563, 12811, 21162, 3264, 16044, 491, 6459, 27671, 12811, 4344, 9924, 454, 1038, 561, 6834, 476, 272, 454, 825, 737, 6834, 476, 272, 692, 2745, 10797, 338, 27542, 274, 815, 1496, 271, 316, 2608, 561, 454, 2745, 2891, 338, 27542, 274, 24333, 4845, 274, 994, 258, 4845, 274, 815, 32582, 910, 14359, 3264, 10780, 17201, 7846, 10948, 4138, 4344, 31502, 29824, 3378, 13150, 3378, 16068, 16648, 397, 488, 9326, 8563, 4138, 31224, 10780, 7846, 13150, 26281, 11012, 10528, 25986, 30718, 269, 2843, 507, 3264, 29652, 17153, 19757, 4138, 9261, 3378, 30935, 9686, 28476, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 16044, 491, 6459, 27671, 12811, 4344, 13833, 454, 258, 16068, 16648, 9326, 13194, 3522, 16021, 23783, 21170, 11714, 5284, 379, 4814, 25974, 11714, 10518, 1478, 869, 267, 10780, 3378, 10948, 27671, 7846, 14359, 3264, 476, 13077, 16648, 3378, 25000, 20046, 16289, 692, 328, 815, 476, 271, 1948, 16068, 16648, 397, 488, 9326, 8563, 31124, 27671, 11012, 10948, 20046, 10948, 4138, 7549, 18194, 31124, 10780, 3264, 16417, 16648, 3378, 13077, 16044, 491, 6459, 27671, 12811, 4344, 13833, 11012, 10528, 25986, 18547, 1496, 338, 27542, 273, 2639, 329, 815, 476, 271, 1948, 16068, 16648, 397, 488, 9326, 8563, 31124, 27671, 11012, 10948, 20046, 10948, 4138, 7549, 18194, 31124, 16044, 491, 6459, 27671, 20046, 13833, 11012, 10528, 25986, 18547, 1496, 338, 27542, 274, 6540, 2745, 10797, 2745, 2891, 6352, 4433, 27542, 273, 2567, 2580, 7003, 4433, 27542, 273, 4917, 2745, 2891, 6352, 4433, 27542, 274, 2567, 2580, 7003, 4433, 27542, 274, 11723, 6112, 1775, 2999, 7003, 4433, 27542, 273, 2187, 825, 952, 4845, 273, 5157, 316, 11203, 1412, 12466, 1038, 4845, 274, 14728, 316, 815, 4845, 273, 5157, 2639, 1038, 795, 6834, 476, 272, 454, 1038, 1948, 1820, 2891, 338, 27542, 274, 2580, 4845, 274, 994, 825, 1775, 6834, 476, 272, 454, 2745, 2891, 338, 27542, 274, 24333, 4845, 274, 2020, 2745, 10797, 1721, 1775, 267, 552, 538, 26246, 4433, 27542, 273, 2187, 825, 1820, 9217, 267, 552, 2020, 2745, 10797, 1721, 1775, 267, 552, 538, 26246, 4433, 27542, 274, 2187, 825, 1820, 9217, 267, 552, 994, 0, 11133, 815, 10581, 9272, 15405, 338, 582, 815, 1003, 12262, 476, 1911, 454, 9188, 815, 630, 11133, 4939, 476, 1911, 264, 12262, 476, 1015, 454, 539, 815, 630, 11133, 4939, 476, 1911, 264, 4939, 476, 1015, 454, 2745, 4433, 582, 1341, 964, 1341, 1196, 994, 0, 29324, 815, 18358, 23186, 3299, 1412, 332, 26474, 3299, 1412, 338, 26474, 23300, 258, 29824, 13833, 21268, 18547, 21660, 20434, 10948, 4138, 9326, 16044, 491, 6459, 27671, 12811, 25000, 454, 604, 1412, 23186, 262, 538, 1053, 912, 825, 1820, 18011, 312, 5073, 12828, 912, 825, 1820, 3488, 301, 5073, 258, 29824, 13833, 21268, 18547, 16068, 4344, 4736, 7846, 4344, 13150, 8563, 4138, 9326, 16044, 491, 6459, 27671, 12811, 25000, 630, 4736, 4138, 4709, 25000, 7549, 4736, 4138, 10948, 27799, 24012, 13953, 11012, 3522, 17153, 3522, 4814, 994, 604, 1412, 2335, 262, 711, 538, 1053, 912, 825, 1820, 3488, 312, 5073, 258, 16068, 10528, 16417, 9686, 3264, 6459, 23845, 3264, 15800, 4709, 9686, 3264, 7549, 4736, 3522, 16044, 491, 6459, 27671, 12811, 25000, 454, 785, 815, 1053, 28827, 3488, 338, 26474, 5073, 2745, 263, 785, 264, 0, 18411, 3674, 513, 7089, 11788, 286, 9462, 490, 370, 20804, 454, 396, 507, 3522, 10528, 4138, 20732, 4138, 16021, 16044, 482, 7846, 4709, 7549, 30530, 19628, 568, 318, 18905, 16325, 1070, 17095, 3378, 26580, 13077, 9326, 10780, 23485, 17221, 9261, 3522, 20046, 11714, 17095, 3522, 10948, 3264, 13150, 8563, 3264, 25602, 4814, 15671, 7846, 9261, 12811, 25000, 14359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18772, 2187, 1038, 15981, 11034, 532, 689, 6843, 267, 713, 786, 16571, 1947, 1265, 543, 2132, 513, 3097, 1038, 1592, 540, 1913, 602, 6565, 689, 602, 6843, 269, 898, 786, 849, 1140, 2255, 519, 454, 1038, 18772, 547, 519, 4395, 18411, 1038, 782, 318, 18474, 657, 815, 11713, 1038, 952, 6843, 18994, 318, 3410, 1400, 10031, 2018, 782, 318, 18474, 657, 6910, 263, 2181, 25785, 994, 1038, 585, 1126, 318, 30726, 538, 6843, 10947, 15220, 10242, 10031, 2018, 782, 318, 18474, 657, 269, 2169, 754, 4311, 11519, 14814, 18692, 3546, 6843, 10947, 15220, 843, 263, 18876, 318, 30726, 1070, 18772, 1341, 1126, 318, 30726, 4917, 1038, 2132, 782, 318, 18474, 657, 692, 825, 1219, 10081, 318, 14814, 4311, 267, 18772, 2187, 1038, 15981, 326, 1508, 513, 18772, 267, 1265, 519, 3803, 6843, 540, 519, 18772, 267, 1287, 2132, 513, 454, 1038, 513, 561, 1080, 609, 782, 1913, 538, 519, 3529, 602, 2347, 519, 18772, 18411, 1038, 18772, 815, 18772, 31573, 4590, 1038, 6843, 815, 1582, 11519, 1326, 6958, 1400, 17045, 263, 2181, 25785, 994, 1038, 952, 6843, 568, 7183, 912, 2018, 2132, 11713, 1038, 1913, 815, 1582, 11519, 14814, 27316, 267, 18772, 994, 1038, 2132, 1913, 22562, 825, 1219, 12673, 4311, 2187, 1038, 15981, 15884, 2132, 513, 1592, 540, 782, 1913, 538, 713, 2468, 324, 18411, 1038, 2132, 1582, 269, 2246, 334, 318, 14814, 3488, 262, 9239, 5035, 16790, 28415, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 9598, 24786, 8782, 270, 23591, 270, 3333, 732, 7933, 1112, 270, 6919, 262, 2187, 1038, 15981, 30976, 1125, 606, 1313, 24899, 10968, 1362, 609, 513, 3758, 2619, 547, 513, 3097, 1038, 512, 868, 3758, 5627, 1913, 18411, 1038, 1582, 25915, 815, 476, 271, 454, 1038, 1582, 269, 5320, 8217, 815, 1582, 10947, 318, 6919, 318, 5228, 18316, 5560, 1112, 24786, 994, 1038, 1582, 6745, 4471, 4671, 872, 815, 570, 4471, 4311, 269, 5320, 8217, 2020, 825, 1219, 1205, 318, 6919, 318, 5228, 18316, 4311, 267, 9598, 24786, 2187, 1038, 15981, 12033, 1913, 689, 513, 3758, 543, 7024, 873, 538, 513, 1592, 18411, 1038, 535, 815, 1930, 5560, 1112, 24786, 994, 1038, 2262, 8217, 815, 11713, 1038, 585, 2262, 538, 535, 18667, 6050, 10031, 2018, 2262, 8217, 6910, 27182, 14714, 8692, 15405, 2018, 1582, 25915, 6834, 476, 272, 454, 1038, 2132, 2262, 8217, 692, 825, 1219, 10081, 318, 14814, 4311, 267, 18772, 2187, 1038, 15981, 326, 1508, 513, 18772, 713, 786, 2347, 519, 18772, 1210, 570, 4471, 454, 1038, 1362, 2409, 18411, 1038, 2132, 1582, 6745, 4471, 4671, 872, 269, 2246, 334, 318, 14814, 263, 2181, 25785, 9239, 3698, 1292, 10031, 825, 689, 942, 1104, 942, 267, 3207, 454, 825, 1948, 689, 2165, 10233, 1104, 11954, 454, 825, 4544, 815, 1412, 315, 343, 272, 321, 314, 11463, 332, 7055, 825, 3039, 815, 1412, 315, 343, 272, 321, 314, 10844, 332, 7055, 825, 5835, 815, 1412, 315, 343, 272, 321, 314, 11152, 332, 7055, 825, 2699, 815, 1412, 315, 343, 272, 321, 314, 11011, 332, 7055, 825, 1439, 815, 1412, 315, 30033, 314, 271, 332, 7055, 825, 1820, 263, 19990, 1341, 1412, 19465, 2468, 324, 1862, 5073, 825, 1376, 815, 942, 4590, 825, 1035, 815, 16790, 28415, 4590, 825, 1820, 3488, 11742, 547, 1628, 2468, 324, 281, 262, 1341, 3039, 267, 1193, 18692, 1038, 5180, 263, 5503, 3890, 910, 1376, 267, 476, 274, 4297, 1341, 1412, 7643, 5073, 825, 1820, 263, 19990, 1341, 1412, 10831, 540, 1913, 281, 262, 1341, 3039, 267, 1035, 25915, 994, 825, 1247, 6936, 912, 1038, 1820, 263, 19990, 1341, 1412, 11767, 513, 27608, 18772, 547, 1265, 1913, 609, 602, 18772, 281, 1412, 30492, 23526, 2699, 1341, 1412, 263, 304, 547, 16718, 264, 5073, 1038, 4776, 815, 3403, 12169, 3641, 994, 1038, 1820, 263, 754, 994, 1038, 952, 4776, 2652, 1412, 304, 12466, 2018, 1820, 263, 1042, 1341, 1412, 304, 3726, 1154, 1862, 262, 1341, 1439, 994, 2018, 3207, 263, 272, 994, 2018, 2132, 454, 1038, 3116, 912, 2018, 1631, 815, 942, 4590, 2018, 1913, 815, 1035, 269, 2246, 334, 318, 14814, 263, 2181, 325, 994, 2018, 1948, 1913, 815, 1496, 5320, 952, 1412, 338, 1575, 3153, 262, 711, 538, 2262, 3116, 2699, 30492, 2018, 1948, 16875, 2262, 1341, 3039, 585, 2262, 538, 1913, 2639, 2018, 1820, 263, 13582, 1341, 22207, 29717, 21860, 263, 6919, 4917, 2018, 1820, 6600, 262, 346, 19990, 348, 5503, 281, 2715, 13582, 2410, 1037, 9230, 5503, 3890, 910, 1631, 264, 2608, 476, 1911, 271, 267, 476, 275, 14587, 916, 5073, 2018, 1820, 263, 19990, 9239, 3698, 942, 318, 527, 10031, 825, 689, 942, 1104, 942, 267, 3207, 454, 825, 1376, 815, 942, 4590, 825, 1035, 815, 16790, 28415, 4590, 825, 6843, 25292, 815, 1412, 18743, 338, 262, 952, 19219, 2652, 667, 1112, 11966, 3116, 1412, 29812, 7055, 825, 1820, 3488, 11742, 547, 1628, 2468, 324, 630, 346, 16585, 2433, 15079, 7643, 8339, 8971, 27316, 25292, 267, 1193, 18692, 1038, 5180, 263, 5503, 3890, 910, 1376, 267, 476, 274, 4297, 4917, 825, 1376, 815, 942, 4590, 825, 585, 4484, 538, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 12466, 1038, 585, 824, 318, 12072, 538, 1412, 2801, 328, 537, 12466, 2018, 1035, 269, 2246, 334, 318, 14814, 263, 12072, 994, 2018, 1035, 269, 2246, 334, 318, 14814, 263, 12072, 1341, 824, 318, 12072, 994, 825, 1820, 3488, 5503, 547, 2196, 1082, 3157, 281, 15079, 7643, 8339, 8971, 19304, 18692, 1038, 5180, 263, 5503, 3890, 910, 1376, 267, 476, 274, 4297, 4917, 825, 3207, 263, 272, 2020, 11966, 815, 667, 1112, 11966, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 19219, 815, 5903, 11966, 454, 825, 1292, 4590, 825, 1948, 942, 318, 527, 4590, 0, 333, 25507, 9272, 3488, 11767, 519, 1871, 540, 562, 281, 29125, 325, 284, 272, 454, 1721, 1775, 538, 2039, 263, 272, 19885, 266, 272, 2187, 825, 535, 265, 284, 328, 454, 2745, 6600, 264, 0, 3698, 1292, 10031, 825, 1820, 9497, 1607, 1982, 1175, 4255, 1919, 5602, 825, 4390, 815, 703, 16216, 1998, 9272, 2891, 11767, 519, 3193, 4390, 540, 519, 6728, 281, 834, 21875, 825, 952, 1826, 263, 5115, 13369, 264, 2652, 703, 912, 1038, 1820, 2891, 2791, 1175, 1305, 519, 3193, 4390, 5602, 825, 3116, 912, 1038, 1820, 2891, 11767, 606, 8870, 5602, 825, 1820, 263, 5115, 13369, 994, 10852, 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 ]
[ 0, 258, 476, 1691, 268, 13301, 20081, 583, 3645, 9539, 4912, 275, 692, 5560, 858, 264, 7602, 494, 24771, 14469, 1923, 26257, 14469, 630, 18528, 264, 1923, 1715, 518, 14469, 9890, 630, 18528, 2020, 1012, 16907, 529, 692, 2971, 7726, 476, 2918, 593, 8525, 476, 6872, 538, 14581, 476, 276, 692, 4131, 12276, 6234, 513, 22174, 681, 4151, 543, 12276, 6234, 654, 7807, 346, 325, 22174, 623, 3709, 333, 12917, 305, 2567, 325, 5416, 6661, 271, 315, 22288, 581, 513, 1016, 11898, 540, 12276, 6234, 623, 3709, 333, 12917, 305, 264, 23201, 4855, 12276, 6234, 3897, 263, 310, 264, 31859, 5575, 267, 1577, 12276, 6234, 535, 3287, 9385, 514, 654, 23201, 3973, 649, 666, 31693, 12276, 6234, 535, 3287, 264, 4151, 2094, 972, 568, 513, 12276, 6234, 575, 3287, 9385, 514, 623, 3709, 333, 268, 272, 12917, 305, 264, 4151, 971, 602, 12276, 6234, 535, 3287, 6661, 263, 343, 8584, 264, 326, 3287, 264, 23201, 3245, 1934, 267, 972, 616, 1896, 4485, 1384, 7343, 25209, 476, 272, 281, 2422, 1772, 14521, 3359, 692, 2171, 1397, 602, 12276, 6234, 654, 4151, 568, 568, 25806, 547, 12276, 6234, 623, 3709, 333, 268, 272, 12917, 305, 264, 23201, 2913, 12276, 6234, 645, 7807, 346, 272, 21726, 21726, 3867, 273, 9574, 24222, 343, 3867, 333, 268, 272, 4153, 22288, 581, 519, 3044, 10288, 4493, 540, 12276, 6234, 623, 3709, 333, 268, 272, 12917, 305, 264, 4151, 543, 12276, 6234, 590, 7807, 346, 343, 8584, 267, 263, 343, 8584, 32589, 267, 263, 343, 8584, 32589, 3867, 273, 9574, 24222, 263, 343, 8584, 32589, 3867, 333, 268, 272, 4153, 22288, 581, 513, 15410, 540, 12276, 6234, 654, 23201, 3973, 972, 568, 513, 2189, 5276, 7004, 12276, 6234, 570, 281, 303, 3709, 333, 268, 272, 4153, 1729, 654, 4151, 971, 602, 12276, 6234, 570, 6600, 3287, 4297, 14352, 343, 8584, 264, 325, 3287, 264, 4151, 1141, 12276, 6234, 535, 3287, 9385, 514, 645, 23201, 8058, 602, 12276, 6234, 570, 4151, 568, 1312, 835, 3562, 14633, 543, 5196, 543, 9959, 602, 12276, 6234, 3897, 27456, 3709, 333, 268, 272, 348, 6661, 323, 574, 263, 310, 264, 31859, 7343, 25209, 476, 273, 281, 2422, 519, 24419, 9539, 1638, 640, 14497, 692, 4131, 12276, 6234, 918, 7807, 346, 272, 21726, 21726, 3867, 273, 9574, 24222, 343, 3867, 333, 268, 272, 9574, 343, 3867, 333, 4153, 22288, 581, 519, 3044, 10288, 4493, 540, 12276, 6234, 623, 3709, 333, 22288, 543, 12276, 6234, 535, 3287, 9385, 514, 623, 3709, 333, 12917, 305, 264, 23201, 3973, 12276, 6234, 535, 3287, 21174, 6234, 1422, 8999, 23214, 328, 284, 272, 8703, 333, 348, 322, 3709, 328, 348, 326, 3709, 328, 12917, 343, 264, 4151, 1141, 12276, 6234, 524, 3709, 328, 4153, 514, 681, 4151, 543, 12276, 6234, 575, 3709, 328, 12917, 343, 9385, 514, 918, 23201, 16294, 12276, 6234, 570, 281, 303, 3709, 333, 12917, 305, 9385, 1729, 681, 4151, 676, 12276, 6234, 570, 7268, 6234, 1422, 8999, 23214, 328, 284, 272, 8703, 333, 348, 322, 3709, 328, 348, 326, 3709, 328, 12917, 343, 4297, 7807, 6234, 1422, 8999, 23214, 328, 284, 272, 8703, 333, 348, 322, 3709, 328, 348, 326, 3709, 328, 12917, 320, 264, 23201, 3973, 621, 568, 2653, 547, 1397, 602, 12276, 6234, 570, 4151, 568, 1312, 1134, 20452, 543, 5276, 269, 2991, 2072, 267, 1397, 602, 12276, 6234, 7584, 24867, 6661, 272, 4151, 543, 946, 519, 7584, 5991, 1638, 640, 11532, 547, 9959, 602, 12276, 6234, 3897, 263, 310, 6661, 333, 31859, 7343, 25209, 476, 274, 281, 4855, 513, 5178, 529, 609, 519, 1546, 1260, 12723, 27155, 692, 1607, 1935, 568, 3551, 269, 8058, 602, 12276, 6234, 590, 7807, 346, 343, 8584, 267, 263, 343, 8584, 32589, 267, 263, 343, 8584, 32589, 3867, 273, 9574, 24222, 263, 343, 8584, 32589, 3867, 333, 268, 272, 4153, 22288, 568, 513, 4493, 540, 12276, 6234, 654, 31859, 7343, 25209, 476, 275, 281, 4855, 513, 5178, 529, 1510, 519, 1546, 1260, 12723, 27155, 692, 1607, 1935, 3340, 513, 2370, 811, 15931, 1145, 950, 14335, 519, 4493, 281, 12276, 6234, 590, 7807, 346, 343, 8584, 267, 263, 343, 3867, 273, 18511, 320, 3867, 273, 348, 32140, 343, 3867, 274, 18511, 320, 3867, 274, 348, 1070, 24222, 263, 343, 3867, 333, 18511, 320, 3867, 333, 348, 9385, 3686, 16859, 2971, 25737, 28392, 692, 289, 528, 529, 781, 8791, 8307, 692, 2252, 596, 946, 538, 707, 6169, 4856, 3326, 776, 476, 272, 540, 519, 27284, 14497, 540, 10789, 267, 1287, 5225, 13712, 621, 607, 834, 17357, 3326, 776, 476, 272, 540, 519, 27284, 14497, 540, 10789, 2668, 1684, 711, 13712, 621, 607, 519, 834, 293, 1495, 4442, 14497, 540, 10789, 257, 2094, 602, 1797, 596, 616, 19696, 519, 4909, 11532, 3079, 540, 922, 1351, 3326, 776, 269, 0, 258, 1772, 1169, 3818, 2364, 894, 1599, 689, 519, 5119, 8258, 4399, 3667, 346, 12385, 20731, 333, 27562, 7751, 547, 1269, 305, 259, 513, 1599, 540, 4399, 3667, 18097, 564, 4151, 2496, 22428, 602, 1269, 305, 259, 568, 513, 862, 32477, 8258, 609, 1269, 272, 8961, 543, 585, 1269, 333, 1422, 514, 1422, 13992, 346, 301, 20954, 1577, 4399, 3667, 346, 12385, 20731, 333, 27562, 7751, 581, 519, 1305, 540, 1269, 333, 1422, 9392, 562, 259, 14290, 609, 13366, 538, 1269, 305, 16859, 2005, 568, 1134, 1634, 602, 519, 24572, 1599, 4399, 3667, 18097, 564, 348, 2433, 1422, 3667, 346, 12385, 20731, 333, 27562, 264, 1422, 21375, 681, 259, 568, 3818, 2364, 894, 267, 1775, 4318, 780, 11377, 3667, 18097, 564, 12917, 5723, 264, 815, 1422, 3667, 18097, 564, 12917, 288, 264, 1422, 3667, 18097, 564, 12917, 289, 264, 9681, 7445, 3667, 18097, 564, 4151, 568, 6157, 711, 2189, 538, 713, 2463, 282, 972, 616, 6266, 540, 3252, 1269, 326, 2433, 1422, 3667, 346, 12385, 20731, 333, 27562, 264, 1422, 21375, 681, 259, 799, 616, 3818, 2364, 894, 269, 1280, 513, 1376, 267, 972, 616, 519, 3586, 1269, 272, 259, 543, 3586, 1269, 271, 259, 3252, 267, 607, 1134, 607, 519, 13525, 1599, 540, 834, 529, 538, 3200, 1043, 2668, 2859, 9490, 569, 267, 585, 1269, 305, 815, 1422, 13992, 23334, 20954, 616, 519, 3252, 692, 2330, 326, 10490, 264, 815, 1422, 8218, 26231, 1162, 348, 552, 3867, 325, 7268, 8421, 7268, 3847, 24689, 30956, 10490, 9385, 2431, 347, 4297, 348, 1299, 315, 3667, 346, 604, 348, 1422, 30956, 10490, 264, 1422, 928, 336, 476, 271, 8607, 476, 271, 1299, 315, 3667, 346, 604, 348, 1422, 30956, 10490, 264, 815, 476, 271, 1422, 754, 26231, 1162, 15732, 3602, 1269, 325, 2433, 1422, 13992, 23334, 348, 1422, 21375, 1422, 13992, 23334, 4151, 568, 1022, 3070, 540, 519, 595, 879, 16408, 6198, 3830, 1269, 325, 3287, 20742, 264, 815, 535, 3287, 11924, 325, 12169, 7751, 2433, 1875, 9762, 514, 6681, 3435, 547, 713, 3830, 616, 2731, 21354, 1969, 539, 780, 4913, 267, 594, 723, 711, 1336, 1022, 1806, 540, 3818, 2364, 894, 3252, 799, 616, 711, 2933, 513, 1599, 540, 4399, 30956, 16859, 3674, 972, 1022, 971, 1599, 799, 568, 711, 513, 1599, 540, 1033, 2496, 6546, 568, 267, 568, 972, 513, 8258, 1269, 305, 8961, 606, 1269, 333, 1422, 514, 1422, 13992, 346, 301, 4151, 543, 1269, 326, 2433, 1422, 3667, 346, 12385, 20731, 333, 27562, 264, 1422, 21375, 681, 259, 799, 568, 3818, 2364, 894, 267, 543, 711, 513, 1599, 540, 1033, 267, 1775, 4318, 269, 972, 2291, 1269, 288, 32390, 1422, 514, 1422, 3667, 346, 12385, 20731, 333, 27562, 7751, 971, 602, 692, 17961, 9387, 348, 1422, 30956, 10490, 264, 17851, 1422, 30956, 16360, 264, 8607, 575, 10490, 264, 1299, 315, 928, 336, 575, 16360, 264, 1422, 754, 9387, 10926, 1892, 3371, 781, 835, 8343, 269, 1403, 596, 6615, 707, 3818, 2364, 894, 1599, 547, 4399, 9507, 346, 21923, 20731, 333, 27562, 7751, 596, 1205, 513, 1895, 4786, 4399, 9507, 346, 21923, 20731, 333, 27562, 9385, 1729, 681, 23373, 9392, 10608, 1403, 596, 8263, 2417, 602, 1269, 305, 259, 568, 513, 2361, 609, 693, 2547, 1614, 3693, 1287, 713, 5205, 689, 519, 1249, 602, 519, 6508, 32299, 540, 4399, 9507, 346, 21923, 20731, 333, 27562, 7751, 568, 4399, 9507, 346, 20784, 20731, 333, 27562, 30879, 1290, 7757, 9484, 476, 1691, 267, 476, 1001, 276, 693, 476, 1724, 281, 1704, 454, 1892, 7711, 20694, 2791, 30241, 267, 1434, 1448, 267, 2705, 267, 594, 1810, 1405, 1589, 519, 20525, 12134, 585, 1269, 326, 263, 27306, 7751, 547, 581, 1269, 272, 259, 865, 649, 1522, 711, 1205, 513, 1895, 4786, 1862, 634, 1152, 3364, 649, 917, 568, 602, 1269, 326, 263, 27306, 8203, 273, 284, 326, 263, 27306, 7751, 630, 527, 1223, 581, 1269, 275, 259, 952, 649, 616, 2324, 1110, 25222, 1269, 277, 259, 585, 3236, 1040, 1290, 7757, 9484, 476, 1691, 267, 476, 1001, 276, 693, 476, 1724, 281, 2537, 454, 1892, 898, 781, 1869, 5386, 609, 519, 13429, 602, 1269, 305, 259, 568, 513, 2361, 267, 1498, 269, 1290, 7757, 9484, 476, 1691, 267, 476, 1001, 276, 693, 476, 1724, 281, 2918, 692, 22428, 1269, 305, 259, 25389, 519, 1739, 2175, 780, 1892, 1269, 305, 259, 814, 606, 3693, 1269, 343, 315, 928, 336, 476, 272, 259, 609, 1269, 343, 317, 273, 284, 272, 259, 563, 1892, 1703, 568, 513, 1147, 11187, 8258, 4630, 31532, 1269, 336, 281, 305, 29540, 315, 13992, 346, 293, 20731, 273, 16859, 2690, 1383, 267, 1269, 305, 7807, 13992, 346, 313, 4151, 543, 1269, 343, 15871, 272, 8961, 610, 1269, 305, 284, 306, 24585, 315, 13992, 346, 293, 20731, 273, 259, 1141, 1269, 306, 259, 814, 606, 3693, 1269, 338, 259, 540, 3818, 2364, 894, 1931, 1269, 273, 8961, 543, 1269, 343, 14352, 338, 267, 272, 7751, 780, 10190, 1269, 336, 259, 28901, 513, 8258, 4630, 31532, 4399, 3667, 346, 12385, 20731, 273, 27562, 9385, 1729, 20728, 346, 12385, 20731, 273, 7268, 13992, 346, 293, 20731, 273, 29408, 799, 594, 3513, 849, 20301, 676, 1269, 336, 16859, 2304, 3693, 1269, 311, 259, 540, 4399, 3667, 346, 21923, 20731, 273, 7268, 13992, 346, 293, 20731, 273, 7751, 6411, 593, 519, 1614, 1875, 25179, 10321, 540, 4399, 13992, 346, 293, 20731, 273, 317, 273, 8961, 543, 594, 3513, 2161, 1269, 311, 259, 568, 1256, 610, 9642, 4470, 593, 2436, 621, 6411, 676, 606, 1256, 610, 9642, 32089, 780, 2467, 568, 513, 3818, 2364, 894, 1599, 1269, 326, 24097, 3667, 346, 12385, 20731, 273, 27562, 9385, 1729, 681, 259, 609, 3230, 326, 10490, 6661, 1422, 8218, 26231, 1162, 348, 476, 271, 261, 315, 3387, 2135, 346, 604, 7117, 10490, 264, 568, 711, 538, 3200, 1043, 27874, 476, 272, 261, 315, 3387, 2135, 346, 604, 7117, 10490, 264, 568, 538, 3200, 1043, 543, 1256, 27874, 1535, 261, 315, 3387, 2135, 346, 604, 7117, 10490, 264, 568, 538, 3200, 1043, 543, 9642, 269, 348, 1422, 754, 26231, 1162, 15732, 3719, 1269, 326, 10490, 7751, 568, 711, 513, 1599, 540, 4399, 30956, 10490, 29408, 2094, 585, 1269, 288, 318, 272, 7807, 8218, 32413, 348, 272, 261, 271, 11138, 271, 261, 272, 17910, 32413, 4151, 543, 1269, 288, 318, 273, 7807, 8218, 32413, 348, 272, 261, 272, 11138, 271, 261, 272, 17910, 32413, 20954, 4399, 30956, 10490, 318, 272, 21174, 30956, 10490, 318, 273, 7751, 855, 1269, 326, 10490, 318, 272, 6661, 272, 315, 928, 336, 1535, 284, 326, 10490, 318, 273, 7751, 780, 1892, 24090, 995, 267, 16022, 1383, 256, 1290, 7757, 9484, 476, 1428, 267, 476, 1001, 276, 693, 476, 1556, 281, 2420, 454, 1892, 7711, 21579, 290, 20625, 2006, 6441, 29498, 1635, 519, 1259, 267, 594, 1589, 519, 1383, 594, 4312, 2016, 568, 827, 519, 14724, 267, 855, 621, 781, 1360, 1808, 547, 1269, 333, 284, 273, 10608, 1703, 616, 811, 4277, 543, 10427, 1806, 1759, 593, 9273, 538, 15821, 1269, 298, 27572, 1492, 800, 630, 12671, 799, 594, 6415, 2484, 689, 606, 4274, 1040, 1280, 1383, 267, 513, 4583, 1383, 568, 1269, 305, 7807, 13992, 23334, 22042, 343, 11971, 316, 14370, 343, 317, 273, 20742, 317, 273, 268, 272, 29408, 4171, 834, 516, 706, 1027, 6519, 3650, 1895, 257, 1269, 306, 298, 318, 272, 27562, 7751, 568, 1634, 547, 581, 28023, 540, 1931, 1269, 273, 10608, 898, 7140, 856, 602, 713, 10522, 602, 585, 1022, 1269, 333, 285, 272, 259, 972, 781, 513, 3818, 2364, 894, 1599, 540, 519, 2186, 596, 2811, 6998, 827, 267, 2921, 2418, 540, 1269, 271, 259, 630, 1721, 1875, 2987, 3200, 1043, 14290, 1070, 1269, 272, 259, 543, 1269, 268, 272, 10608, 1290, 7757, 9484, 476, 1428, 267, 476, 1001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 9618, 517, 990, 543, 1234, 613, 341, 1496, 2752, 4962, 316, 4951, 602, 25789, 303, 24556, 630, 333, 264, 17995, 1071, 23259, 585, 29339, 630, 333, 264, 815, 3852, 358, 263, 18414, 333, 1916, 2005, 568, 4277, 547, 7747, 602, 519, 835, 17574, 3252, 9112, 676, 31828, 339, 2967, 1496, 288, 329, 339, 9834, 316, 543, 12130, 857, 534, 857, 334, 543, 1234, 613, 341, 1496, 17307, 6860, 316, 616, 2450, 268, 13627, 574, 762, 630, 514, 1249, 267, 3592, 2834, 1070, 865, 676, 14497, 476, 4510, 538, 519, 1655, 2013, 519, 21052, 540, 891, 3252, 666, 581, 1759, 593, 2042, 538, 7537, 3980, 358, 1071, 4456, 563, 11101, 267, 519, 6988, 1362, 26128, 3980, 358, 1071, 4456, 602, 3568, 3113, 568, 31532, 568, 2147, 547, 26128, 3980, 358, 1071, 23259, 799, 3568, 519, 3375, 4528, 540, 28809, 2443, 513, 1966, 602, 568, 1151, 15344, 538, 7061, 9971, 942, 1210, 1744, 528, 779, 5690, 4586, 23797, 636, 27122, 585, 10326, 1772, 31532, 543, 3557, 6641, 5471, 10961, 566, 454, 1103, 476, 1220, 276, 267, 4498, 320, 267, 570, 8643, 267, 543, 26232, 600, 9369, 10645, 602, 796, 330, 2254, 1540, 1145, 568, 538, 7537, 3980, 358, 1071, 4456, 563, 298, 2254, 1540, 1145, 568, 538, 26128, 267, 1110, 25222, 16998, 295, 0, 268, 476, 279, 267, 4200, 24843, 454, 5327, 322, 8692, 857, 11252, 632, 3288, 21107, 454, 23389, 1893, 585, 2296, 10529, 267, 1837, 543, 5751, 538, 10026, 543, 1647, 1377, 269, 634, 6121, 541, 543, 12332, 616, 6045, 538, 2296, 1900, 676, 1900, 563, 763, 1292, 3765, 18059, 540, 713, 1433, 568, 547, 2491, 519, 4436, 8239, 18928, 269, 634, 1034, 1271, 3364, 547, 519, 2875, 568, 547, 1205, 513, 2178, 5748, 538, 713, 519, 1893, 269, 20531, 713, 1893, 568, 3833, 9266, 267, 952, 621, 568, 4957, 513, 2370, 519, 21342, 2497, 519, 1004, 786, 711, 581, 2111, 547, 1174, 1018, 596, 1616, 547, 2161, 267, 538, 824, 1913, 267, 513, 2370, 1689, 814, 2462, 1198, 269, 0, 2108, 12283, 3036, 294, 8656, 892, 1715, 3840, 281, 808, 269, 670, 269, 2051, 2023, 267, 524, 269, 476, 6977, 280, 269, 1621, 571, 1386, 4786, 609, 3312, 1688, 12258, 1681, 269, 630, 15862, 281, 476, 1428, 476, 272, 270, 273, 1535, 476, 1321, 476, 276, 270, 279, 262, 5073, 1607, 4786, 20186, 11908, 609, 922, 17521, 3957, 543, 538, 17804, 4778, 269, 634, 1533, 3854, 568, 7074, 607, 631, 2683, 613, 6807, 630, 5228, 476, 5197, 274, 268, 5908, 279, 950, 24611, 2968, 519, 1007, 3854, 1916, 12749, 7240, 2934, 616, 3254, 543, 2101, 4872, 267, 10034, 267, 23668, 267, 2220, 10102, 267, 2244, 11507, 267, 16456, 338, 543, 1216, 11507, 616, 4857, 269, 3509, 14200, 543, 15327, 616, 4092, 2429, 519, 4786, 563, 9827, 7074, 568, 519, 968, 308, 2529, 269, 631, 842, 892, 910, 799, 20511, 539, 4154, 11113, 1152, 689, 476, 8146, 279, 268, 5908, 272, 630, 719, 2515, 667, 22844, 821, 8615, 267, 11908, 910, 700, 2794, 7219, 6019, 1040, 32139, 781, 17719, 630, 19604, 1023, 517, 6019, 264, 568, 849, 4092, 269, 1323, 24215, 2143, 2070, 540, 519, 1533, 607, 621, 11478, 1991, 547, 519, 6406, 2782, 256, 0, 1692, 547, 7591, 30086, 4592, 572, 2433, 2353, 6168, 634, 30086, 4592, 572, 25529, 21837, 7671, 4864, 476, 2190, 267, 476, 1001, 280, 476, 275, 22227, 454, 17098, 256, 713, 568, 23111, 597, 4432, 614, 2006, 593, 15773, 540, 16869, 341, 650, 720, 2593, 563, 1103, 713, 17157, 594, 786, 581, 6158, 827, 519, 6529, 269, 1284, 616, 1175, 2469, 547, 979, 998, 930, 2596, 454, 32558, 1108, 540, 519, 6529, 269, 634, 5068, 851, 909, 1934, 568, 1572, 519, 2212, 269, 1358, 666, 2097, 454, 514, 1585, 5546, 543, 7306, 4470, 593, 1018, 596, 1616, 519, 2212, 585, 930, 568, 1732, 585, 15246, 454, 663, 930, 568, 1732, 585, 16116, 909, 2666, 11084, 543, 1866, 948, 1732, 585, 8066, 593, 547, 519, 454, 4252, 269, 901, 4496, 851, 568, 1572, 519, 14788, 269, 634, 2212, 543, 519, 14788, 616, 4448, 998, 454, 10472, 17684, 1318, 1934, 269, 1452, 12673, 1318, 1934, 799, 7520, 1114, 2010, 540, 15246, 454, 732, 1572, 15246, 12673, 543, 891, 12673, 1318, 1934, 799, 1921, 519, 17450, 547, 519, 2212, 454, 732, 1572, 2427, 31486, 269, 634, 1858, 602, 519, 3440, 18795, 538, 568, 1572, 519, 17927, 543, 713, 786, 454, 2041, 5219, 547, 538, 938, 524, 2784, 1782, 3296, 269, 0, 2467, 616, 1362, 4967, 267, 3875, 10966, 7040, 2013, 24096, 543, 1344, 593, 875, 547, 2328, 513, 1382, 1957, 3330, 269, 11683, 5742, 18489, 3175, 634, 10182, 540, 2229, 2509, 18787, 814, 17146, 2429, 1686, 607, 723, 4961, 8456, 538, 2489, 563, 763, 791, 1478, 1639, 700, 1046, 514, 1920, 5030, 538, 519, 1793, 4548, 540, 20506, 23051, 1282, 519, 2038, 1296, 540, 1010, 1272, 269, 3245, 519, 2085, 540, 5722, 267, 646, 13984, 1153, 538, 519, 544, 1941, 902, 543, 5249, 538, 519, 1310, 7224, 976, 547, 7110, 519, 1920, 4747, 267, 513, 1455, 11460, 538, 2324, 11665, 3885, 693, 519, 942, 563, 4263, 519, 2085, 540, 27552, 267, 1310, 519, 2669, 540, 1010, 4651, 267, 646, 729, 22961, 5367, 547, 519, 6109, 1010, 4651, 1185, 5249, 585, 267, 855, 729, 25323, 1310, 1079, 1296, 563, 3891, 729, 32014, 585, 513, 942, 543, 1287, 5249, 607, 513, 13743, 528, 543, 546, 29420, 563, 3528, 515, 729, 513, 546, 1442, 2062, 2006, 267, 543, 593, 476, 279, 5181, 540, 602, 1032, 267, 646, 9310, 10906, 9466, 269, 3245, 299, 1046, 514, 2919, 606, 1719, 538, 25847, 543, 2968, 513, 4759, 540, 519, 18763, 23267, 9549, 269, 769, 515, 729, 835, 540, 519, 1906, 2062, 5443, 547, 1491, 851, 538, 513, 10880, 593, 519, 20506, 23051, 2703, 802, 269, 1261, 729, 11221, 547, 519, 10880, 12233, 267, 543, 4352, 646, 4503, 1010, 2062, 2006, 781, 2816, 607, 513, 1267, 267, 1010, 2773, 865, 24330, 519, 2817, 5742, 540, 667, 1442, 6997, 537, 516, 3464, 715, 11070, 299, 602, 646, 729, 12912, 513, 10151, 12438, 518, 563, 3891, 2663, 6591, 513, 8628, 2990, 609, 519, 9769, 267, 799, 267, 1202, 550, 1864, 547, 10430, 3602, 646, 6707, 22555, 4600, 538, 2776, 8725, 543, 29161, 269, 700, 1046, 514, 5859, 539, 1996, 4457, 11776, 267, 9306, 621, 607, 513, 3463, 602, 1131, 896, 12827, 4600, 267, 3056, 1184, 687, 538, 538, 20506, 23051, 609, 15823, 546, 1442, 619, 21039, 607, 1412, 2419, 514, 29546, 3299, 9849, 535, 14513, 268, 1412, 335, 580, 339, 5661, 262, 543, 9849, 513, 8869, 547, 1683, 513, 1412, 344, 3641, 1293, 28312, 23823, 3891, 16309, 538, 9769, 2358, 519, 13781, 267, 543, 607, 12820, 15189, 547, 2743, 519, 13230, 7569, 267, 646, 1572, 519, 546, 1442, 619, 856, 593, 10880, 538, 4873, 269, 2961, 1562, 543, 5755, 2367, 4166, 8678, 538, 267, 519, 8545, 23928, 741, 15539, 1310, 513, 3923, 269, 700, 1046, 514, 16309, 538, 796, 1746, 17557, 543, 7826, 4600, 543, 1256, 7479, 12184, 519, 2199, 9576, 9721, 4790, 5879, 547, 10880, 693, 835, 1448, 267, 855, 519, 10880, 8694, 676, 5437, 1510, 2348, 6913, 1713, 1967, 563, 763, 8545, 781, 7829, 540, 16395, 543, 6876, 547, 513, 29070, 11175, 585, 519, 2063, 540, 519, 4174, 24329, 8507, 538, 513, 9434, 678, 3424, 1063, 1530, 868, 517, 543, 700, 1046, 514, 269, 769, 299, 1046, 514, 6410, 5045, 543, 22555, 4600, 538, 25212, 290, 1251, 543, 4826, 5112, 5976, 9645, 1967, 563, 14367, 9525, 267, 1996, 9769, 5528, 267, 538, 513, 15539, 538, 25212, 8507, 538, 1010, 1163, 13955, 689, 519, 715, 11070, 299, 269, 634, 9769, 2663, 21991, 3176, 1864, 585, 11651, 1154, 9769, 7482, 547, 2285, 10880, 2628, 547, 595, 1251, 4600, 7722, 538, 606, 796, 334, 24810, 15539, 563, 5475, 4693, 543, 24235, 585, 900, 2041, 3960, 2211, 538, 515, 729, 30992, 547, 7890, 585, 513, 1032, 269, 4746, 538, 6635, 11037, 26186, 603, 1282, 519, 25212, 1286, 614, 781, 10880, 4330, 700, 1046, 514, 607, 606, 834, 12626, 2006, 1104, 532, 4914, 2797, 17522, 883, 713, 2197, 543, 8380, 5065, 2872, 693, 1981, 8487, 15900, 538, 519, 1007, 1032, 267, 299, 1046, 514, 6410, 547, 25212, 267, 799, 2968, 519, 1292, 3490, 540, 519, 8668, 294, 310, 308, 543, 519, 1445, 540, 782, 1010, 2104, 9769, 2534, 538, 8581, 563, 1103, 4873, 299, 1046, 514, 3964, 513, 11356, 267, 634, 9721, 4518, 518, 543, 4658, 781, 5917, 11229, 553, 513, 605, 2000, 629, 712, 4244, 547, 519, 24041, 24804, 2046, 269, 901, 1418, 729, 27537, 676, 513, 5859, 532, 1935, 543, 519, 3954, 10586, 540, 15490, 12820, 543, 540, 700, 1046, 514, 781, 2797, 14763, 563, 21132, 9587, 849, 3769, 4773, 676, 30921, 269, 634, 1957, 729, 3812, 2394, 922, 21109, 676, 519, 8128, 538, 2991, 2072, 267, 519, 4518, 518, 23009, 2216, 883, 519, 1007, 8581, 661, 11155, 563, 30952, 602, 1032, 267, 646, 729, 11221, 547, 25212, 15278, 269, 1261, 1705, 711, 3180, 1010, 10160, 1279, 267, 607, 513, 3923, 2663, 646, 729, 6569, 1317, 646, 1185, 513, 7803, 2594, 689, 1010, 24235, 538, 25212, 24522, 719, 267, 1496, 12575, 9948, 6301, 2376, 281, 25212, 24522, 719, 769, 2038, 299, 1046, 514, 6913, 930, 18454, 538, 4853, 13882, 538, 25212, 543, 267, 16113, 267, 538, 519, 590, 5554, 334, 667, 1442, 10880, 6902, 891, 3238, 7928, 973, 6847, 547, 25091, 16716, 543, 3109, 532, 7911, 20799, 1154, 540, 5370, 563, 10521, 2101, 12820, 267, 2871, 514, 1145, 543, 519, 25212, 2136, 570, 1090, 3118, 7577, 26200, 519, 1292, 9072, 540, 700, 1046, 514, 781, 1418, 2358, 27606, 563, 13828, 1185, 4739, 18787, 585, 9952, 4600, 267, 855, 700, 1046, 514, 781, 1292, 2832, 729, 547, 9769, 1047, 519, 5667, 330, 2683, 4600, 607, 1134, 563, 3891, 22579, 519, 1793, 25830, 834, 288, 4023, 1554, 781, 960, 585, 513, 4023, 1554, 781, 2628, 2668, 2201, 476, 2918, 4864, 519, 911, 332, 3118, 4600, 13166, 4682, 593, 10880, 269, 27439, 676, 32298, 267, 936, 540, 519, 2749, 781, 12820, 1427, 531, 7007, 676, 8506, 741, 4600, 547, 1129, 513, 32410, 711, 547, 581, 513, 4759, 540, 519, 8668, 294, 310, 308, 543, 711, 547, 4497, 538, 25091, 16716, 20136, 1557, 12538, 7184, 883, 519, 8129, 540, 519, 10476, 2782, 267, 31886, 772, 2529, 563, 3286, 5874, 585, 6304, 267, 12116, 519, 22266, 2932, 540, 519, 2112, 267, 543, 11828, 519, 1547, 634, 27706, 31326, 18361, 568, 519, 2229, 781, 30856, 2707, 540, 4876, 5583, 10023, 7366, 540, 23909, 27137, 607, 15790, 550, 619, 267, 3610, 267, 543, 14830, 12579, 563, 3725, 14876, 1169, 476, 273, 1296, 267, 519, 5767, 4528, 3568, 7694, 20327, 585, 519, 8717, 269, 2986, 519, 14980, 959, 559, 9609, 267, 3047, 20465, 568, 667, 990, 345, 1156, 14150, 779, 1034, 3015, 4670, 855, 267, 5310, 585, 891, 1482, 4128, 267, 1034, 29144, 563, 1103, 513, 29761, 685, 4670, 21139, 1131, 8917, 3047, 607, 835, 540, 519, 1390, 8874, 540, 782, 942, 269, 3047, 7436, 513, 12939, 538, 667, 990, 345, 1156, 14150, 779, 4876, 30118, 1738, 540, 513, 7432, 1448, 538, 519, 21977, 2686, 543, 2797, 1285, 656, 3766, 31938, 910, 519, 1439, 540, 835, 1974, 543, 5912, 547, 1776, 563, 2304, 6514, 540, 519, 7399, 585, 11309, 4115, 22158, 267, 2921, 519, 15594, 2219, 540, 519, 476, 866, 628, 2540, 9097, 1367, 1235, 607, 606, 1383, 543, 513, 3391, 269, 1284, 1265, 602, 519, 9097, 11309, 4115, 16472, 540, 2493, 1143, 543, 519, 9097, 15594, 16472, 540, 13348, 8944, 616, 14911, 267, 711, 30137, 267, 543, 649, 1865, 930, 540, 519, 1476, 16272, 602, 1291, 1082, 11309, 12579, 734, 10175, 1082, 11309, 4115, 563, 763, 10182, 540, 2229, 2509, 18787, 814, 17146, 2429, 1686, 607, 723, 4961, 8456, 538, 2489, 269, 10801, 519, 4571, 29933, 7366, 543, 883, 519, 4853, 4838, 3013, 17947, 513, 3288, 23579, 345, 3655, 790, 1935, 607, 621, 10413, 1194, 2509, 4853, 1143, 563, 26222, 543, 2817, 5742, 5240, 269, 1977, 4414, 9061, 4579, 32738, 8734, 269, 476, 1321, 267, 1923, 589, 1007, 3084, 1039, 754, 636, 814, 1044, 9516, 676, 12243, 3122, 2818, 2324, 693, 1977, 4414, 9061, 267, 609, 936, 476, 11011, 2600, 13359, 547, 3731, 1518, 563, 763, 1614, 4458, 6876, 729, 519, 1267, 540, 1896, 3275, 540, 16395, 1063, 519, 12243, 9094, 267, 824, 4074, 18787, 538, 519, 29663, 540, 1133, 687, 543, 1977, 4414, 9061, 269, 0, 347, 8512, 540, 513, 3126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 841, 998, 11400, 454, 2005, 781, 981, 942, 1586, 543, 1053, 616, 16081, 2719, 1547, 3371, 616, 513, 1906, 4388, 547, 1118, 519, 667, 6377, 3100, 1447, 2062, 321, 5317, 2483, 13014, 2386, 707, 4267, 616, 4143, 2483, 2005, 781, 602, 942, 540, 519, 1032, 1586, 950, 2055, 899, 2387, 25585, 11400, 262, 1202, 573, 13124, 7693, 909, 1256, 538, 519, 2547, 22679, 3931, 8186, 269, 1401, 4461, 267, 2705, 20093, 821, 3585, 267, 649, 949, 1745, 267, 798, 1449, 5759, 547, 1418, 1047, 1018, 649, 917, 543, 1018, 649, 723, 1044, 6026, 563, 19522, 585, 942, 20319, 454, 31711, 1018, 568, 547, 581, 2944, 269, 5269, 513, 24920, 540, 519, 1919, 602, 596, 991, 547, 798, 563, 9202, 568, 3922, 2358, 269, 2368, 5396, 991, 811, 2259, 630, 3697, 13004, 264, 543, 2542, 982, 1866, 563, 2521, 711, 547, 1353, 585, 1279, 3108, 693, 513, 12701, 269, 6611, 856, 543, 14595, 1565, 5396, 609, 2259, 1759, 3283, 563, 13729, 11735, 930, 942, 4948, 585, 17265, 1018, 568, 2944, 563, 19138, 950, 707, 10332, 1145, 2157, 616, 693, 519, 5207, 563, 13729, 10853, 3853, 563, 19138, 2553, 616, 1271, 1934, 454, 300, 3464, 20289, 21468, 267, 540, 25590, 332, 11535, 966, 573, 9234, 11535, 267, 16441, 333, 2967, 3081, 267, 834, 32306, 4986, 547, 4960, 269, 5530, 3388, 543, 1224, 782, 21849, 2339, 1360, 8499, 4799, 300, 3464, 4427, 15595, 2532, 14741, 540, 20548, 541, 19789, 966, 573, 9234, 11535, 267, 16441, 333, 2967, 267, 3081, 267, 834, 15152, 1467, 519, 1271, 5220, 538, 519, 1257, 607, 602, 786, 948, 2626, 519, 6662, 2055, 4799, 23044, 12125, 1118, 1565, 7998, 267, 19551, 13685, 538, 1686, 282, 6310, 1106, 27909, 16755, 543, 948, 798, 1732, 538, 11585, 563, 763, 5049, 4371, 538, 519, 2395, 1354, 519, 11400, 616, 1271, 269, 11334, 2285, 4030, 585, 16460, 2055, 543, 17782, 1271, 3584, 563, 10932, 519, 981, 1957, 1134, 269, 23883, 519, 2243, 3898, 267, 519, 2243, 1957, 15523, 267, 519, 5021, 7436, 21248, 585, 1142, 3296, 543, 1544, 9935, 563, 300, 3464, 623, 1090, 8759, 267, 15656, 18722, 21989, 4303, 4400, 3427, 267, 16441, 333, 2967, 267, 3081, 267, 834, 763, 2055, 4574, 540, 519, 3105, 1296, 616, 1271, 10832, 540, 2243, 3466, 543, 723, 547, 581, 5402, 8947, 4799, 22879, 891, 1455, 9073, 2483, 293, 9430, 547, 2626, 2055, 2901, 1317, 972, 568, 1100, 942, 610, 519, 2626, 568, 711, 1634, 563, 12648, 942, 547, 1224, 519, 1957, 2483, 10673, 1405, 2328, 3388, 596, 917, 269, 8382, 519, 2243, 282, 2328, 1152, 1018, 519, 2243, 814, 4280, 585, 563, 8196, 2963, 1141, 2556, 547, 1489, 606, 2626, 269, 23527, 899, 1686, 2154, 7389, 269, 17323, 12134, 585, 12400, 563, 296, 331, 5586, 1043, 13002, 5849, 4503, 7436, 3274, 1317, 519, 981, 10719, 3112, 1224, 563, 305, 269, 26858, 267, 25867, 540, 2441, 5783, 267, 16441, 333, 2967, 267, 3081, 2553, 540, 16460, 2055, 616, 1271, 543, 1053, 1058, 14969, 1152, 952, 789, 616, 4280, 4481, 547, 798, 865, 269, 834, 7093, 322, 1047, 4267, 4849, 538, 519, 1557, 1826, 3296, 568, 1271, 1317, 519, 981, 10719, 666, 3533, 1265, 1018, 646, 568, 3168, 585, 269, 674, 3739, 909, 519, 3817, 3085, 1405, 30321, 7436, 4799, 16100, 693, 519, 2243, 1957, 2483, 11947, 2775, 3688, 899, 4432, 16112, 622, 267, 9181, 267, 14424, 543, 25037, 543, 11512, 269, 1358, 782, 3100, 2147, 855, 789, 1810, 1405, 2731, 1611, 519, 1482, 563, 5472, 11229, 942, 1759, 2390, 519, 1871, 540, 1142, 2243, 563, 1805, 4450, 707, 2626, 609, 2312, 31047, 267, 799, 12582, 1405, 581, 1932, 1279, 267, 513, 1560, 609, 1142, 1007, 2856, 538, 513, 1007, 5037, 543, 513, 1697, 3932, 563, 763, 1554, 1354, 519, 981, 2483, 21607, 519, 16153, 3556, 267, 10689, 19044, 543, 1449, 4604, 538, 707, 9126, 269, 3220, 11065, 327, 2532, 518, 267, 6076, 8688, 528, 267, 12754, 1240, 1443, 2478, 267, 834, 292, 520, 513, 1134, 28394, 2331, 2732, 543, 4235, 6266, 540, 12862, 269, 28246, 5666, 540, 6995, 949, 3132, 10539, 543, 1256, 771, 32360, 540, 2219, 3157, 269, 898, 849, 21219, 707, 3207, 563, 2975, 10345, 13174, 5851, 2457, 3146, 10968, 609, 1863, 3211, 267, 3584, 543, 5439, 454, 296, 22330, 4118, 338, 2593, 4534, 1863, 13004, 2259, 7886, 454, 22068, 580, 19441, 8882, 13238, 2593, 4534, 1863, 12193, 594, 17698, 543, 23048, 4574, 454, 5715, 9332, 1307, 1565, 4534, 3568, 4574, 593, 782, 5396, 454, 290, 18778, 2259, 593, 590, 1518, 2069, 454, 25217, 15132, 548, 635, 4534, 3102, 2069, 22045, 630, 335, 4660, 3135, 994, 763, 853, 323, 269, 2473, 2862, 8274, 1401, 3133, 725, 5800, 531, 4534, 814, 2339, 593, 454, 292, 21643, 267, 2296, 267, 3778, 267, 11572, 3163, 543, 24205, 630, 290, 18778, 994, 306, 928, 3873, 267, 16441, 333, 2967, 927, 680, 710, 268, 476, 271, 4510, 476, 27005, 5611, 2004, 454, 306, 754, 713, 2376, 547, 14886, 676, 0, 763, 2037, 5519, 910, 4516, 555, 16824, 630, 595, 15077, 1756, 818, 1597, 572, 264, 568, 513, 21064, 18290, 602, 666, 1332, 909, 476, 272, 547, 476, 275, 3723, 7381, 543, 3357, 547, 721, 689, 20195, 14901, 267, 4440, 689, 513, 7693, 6079, 1991, 547, 476, 5197, 271, 269, 901, 568, 519, 1034, 4922, 3262, 18290, 649, 723, 538, 27924, 269, 901, 555, 16824, 2356, 814, 513, 11909, 8768, 855, 814, 849, 1044, 2938, 609, 3043, 3283, 269, 769, 519, 5614, 519, 887, 3553, 5052, 616, 7363, 1507, 543, 4552, 1652, 543, 616, 711, 7363, 1336, 4805, 267, 607, 1082, 540, 519, 2030, 616, 4448, 676, 519, 5072, 269, 4014, 713, 2030, 267, 543, 824, 555, 30178, 267, 616, 4625, 17580, 676, 13184, 543, 3425, 267, 789, 2356, 3251, 2476, 689, 873, 1813, 547, 519, 838, 1149, 602, 1332, 2059, 519, 6978, 19114, 563, 763, 15613, 910, 898, 814, 1044, 2938, 621, 538, 938, 9803, 6694, 4610, 607, 1134, 607, 538, 803, 27595, 693, 938, 5207, 6173, 725, 3976, 621, 814, 1831, 835, 540, 938, 1034, 14124, 18047, 269, 4495, 519, 5452, 9921, 789, 1020, 513, 726, 2541, 630, 3697, 546, 28888, 687, 264, 602, 1450, 519, 6079, 547, 581, 9514, 585, 5195, 676, 519, 2842, 269, 1809, 4277, 2614, 267, 594, 1131, 4161, 4896, 547, 1294, 952, 1022, 540, 519, 5452, 2965, 1332, 883, 513, 2030, 269, 2271, 1737, 267, 519, 2030, 814, 513, 5318, 8880, 3597, 1062, 630, 9071, 714, 2345, 264, 602, 2636, 519, 2030, 547, 2048, 920, 788, 685, 883, 11105, 3601, 543, 1256, 998, 28372, 269, 3509, 540, 519, 10195, 593, 519, 3162, 674, 1251, 540, 519, 31315, 5211, 616, 11207, 4988, 676, 713, 555, 16824, 563, 763, 16470, 910, 6145, 1082, 540, 938, 21064, 2371, 4516, 555, 16824, 666, 581, 6417, 630, 325, 1515, 569, 3362, 264, 609, 10786, 15969, 693, 1614, 2053, 540, 519, 1032, 269, 7216, 5614, 630, 6112, 538, 519, 887, 3553, 974, 3942, 5148, 4571, 4832, 630, 323, 1005, 519, 2038, 5229, 3942, 5148, 610, 2887, 630, 12898, 519, 1101, 11318, 15470, 1040, 4173, 321, 15969, 971, 607, 570, 20423, 476, 2420, 298, 267, 4354, 18571, 267, 4414, 9851, 267, 6660, 9693, 267, 543, 3690, 1467, 630, 299, 2632, 7758, 538, 24972, 22450, 264, 616, 782, 1390, 5079, 269, 476, 273, 267, 275, 5937, 543, 18471, 1575, 616, 711, 2472, 540, 3903, 607, 21064, 2371, 786, 1036, 992, 1310, 2126, 630, 8117, 949, 581, 707, 1152, 4781, 538, 513, 4677, 610, 824, 24972, 22450, 4259, 1040, 3509, 6211, 1852, 7786, 616, 2139, 269, 1306, 609, 1022, 2030, 609, 29127, 2345, 267, 7344, 1852, 568, 24631, 630, 514, 1249, 621, 7512, 811, 2208, 1040, 1306, 2141, 1289, 707, 2199, 6019, 1284, 539, 8111, 23734, 550, 585, 811, 3877, 563, 308, 540, 594, 27924, 781, 715, 2135, 1190, 1284, 2644, 6513, 13832, 630, 8146, 22995, 7300, 4647, 264, 0, 19547, 5661, 540, 713, 2249, 538, 4993, 454, 1103, 11663, 4369, 281, 3502, 9138, 454, 13126, 281, 22340, 267, 476, 1220, 276, 454, 11854, 2886, 11872, 585, 713, 19715, 912, 10048, 1771, 11872, 585, 713, 19715, 912, 13640, 553, 12792, 729, 1186, 630, 294, 517, 520, 665, 518, 639, 24094, 4700, 1223, 948, 25210, 20758, 1055, 519, 4837, 344, 26310, 539, 8325, 9496, 518, 630, 295, 10095, 617, 4593, 320, 3857, 8692, 12447, 264, 602, 723, 1044, 10825, 2030, 1673, 600, 1645, 2473, 1803, 12848, 3728, 573, 3930, 320, 4551, 538, 7013, 4993, 11903, 29288, 2094, 519, 476, 1960, 271, 338, 269, 3767, 8325, 9496, 619, 723, 1500, 621, 547, 16127, 543, 454, 307, 1695, 16951, 269, 16581, 3194, 6796, 630, 12678, 264, 3744, 538, 24380, 331, 23147, 267, 7147, 267, 723, 3254, 602, 519, 12362, 11641, 538, 4993, 568, 454, 5228, 7147, 734, 4820, 540, 519, 11641, 781, 5065, 7226, 563, 2690, 936, 513, 8717, 267, 8121, 306, 3744, 543, 3173, 693, 519, 2160, 540, 4993, 7304, 1392, 728, 543, 519, 4993, 4972, 540, 5253, 543, 11982, 723, 1044, 5275, 1979, 665, 2632, 1503, 2994, 547, 1852, 519, 8325, 9496, 518, 269, 2311, 519, 8121, 306, 3162, 1977, 18143, 6513, 12524, 630, 306, 5723, 12710, 264, 538, 15049, 1782, 5069, 267, 18335, 267, 3173, 723, 1044, 10442, 729, 1186, 602, 2482, 741, 5798, 3330, 519, 4837, 344, 26310, 539, 8325, 9496, 619, 5798, 267, 799, 616, 2663, 10057, 676, 519, 729, 335, 1762, 607, 789, 24011, 543, 3049, 269, 634, 3119, 11134, 585, 713, 1106, 540, 6211, 1852, 568, 4867, 22167, 520, 665, 518, 639, 16321, 1529, 604, 655, 584, 689, 3162, 3013, 269, 717, 269, 16321, 1529, 604, 655, 584, 568, 1373, 7318, 693, 1312, 519, 590, 5723, 12710, 543, 519, 5484, 1030, 2772, 24538, 338, 3194, 5149, 538, 24380, 331, 23147, 267, 855, 519, 729, 335, 814, 711, 2943, 1044, 5950, 269, 12824, 538, 24380, 331, 23147, 616, 849, 10478, 585, 562, 8233, 531, 8934, 527, 6950, 538, 741, 5065, 2039, 538, 7147, 269, 1677, 4266, 267, 782, 519, 6211, 1852, 22167, 520, 665, 518, 639, 2249, 8069, 616, 4212, 8934, 527, 6950, 563, 30356, 13624, 633, 16901, 338, 281, 19371, 344, 13617, 539, 5857, 1186, 327, 2393, 619, 630, 294, 310, 7704, 264, 723, 1044, 10825, 2030, 1673, 600, 1645, 2473, 1803, 12848, 3728, 573, 3930, 320, 454, 321, 22160, 538, 7013, 4993, 11903, 29288, 2094, 519, 476, 1960, 271, 338, 269, 2473, 269, 3728, 573, 3930, 320, 3123, 513, 454, 19702, 1214, 540, 14427, 2030, 3676, 267, 1519, 623, 15127, 781, 2068, 538, 18812, 341, 1149, 543, 6978, 1085, 25403, 538, 454, 1961, 32752, 269, 3400, 701, 25210, 538, 23117, 728, 543, 5842, 17630, 17521, 723, 4503, 827, 1269, 4343, 2929, 1813, 547, 454, 8310, 3525, 1881, 281, 476, 1556, 270, 4905, 270, 1220, 277, 476, 1015, 281, 6246, 281, 1240, 513, 6230, 269, 0, 763, 28529, 518, 3883, 540, 7780, 641, 5362, 454, 267, 12995, 676, 3627, 5516, 344, 267, 814, 1044, 4330, 607, 1312, 513, 834, 30036, 5501, 540, 1225, 3930, 267, 15700, 8357, 8494, 807, 257, 543, 513, 834, 7901, 513, 9925, 1564, 8487, 763, 2165, 1412, 308, 9008, 807, 3299, 1101, 22579, 676, 7338, 2859, 454, 514, 1010, 476, 14681, 277, 8313, 540, 519, 1482, 2012, 267, 814, 1279, 6273, 519, 5339, 4337, 5209, 540, 1082, 269, 901, 17175, 16320, 1108, 454, 4818, 6150, 676, 28529, 518, 543, 28529, 518, 454, 523, 7609, 525, 782, 25654, 543, 3029, 540, 519, 10206, 543, 12125, 519, 1576, 454, 1993, 513, 3984, 540, 16494, 7239, 454, 267, 689, 18573, 781, 6243, 454, 1729, 811, 4207, 1414, 30235, 22649, 269, 1284, 5873, 689, 25264, 267, 14100, 267, 27997, 267, 681, 1787, 324, 879, 267, 2107, 6202, 267, 8187, 324, 454, 267, 543, 1082, 811, 269, 21278, 513, 4605, 540, 519, 13922, 543, 13821, 540, 1142, 2085, 910, 1247, 849, 13031, 519, 6456, 29711, 1014, 19178, 540, 7780, 26508, 17050, 910, 621, 568, 1898, 547, 4896, 7646, 569, 5461, 538, 1312, 519, 10952, 29854, 540, 1514, 1852, 454, 663, 5924, 519, 5339, 12496, 540, 519, 1412, 704, 2739, 2486, 262, 0, 12663, 649, 2479, 2569, 2011, 5533, 2614, 538, 519, 14860, 547, 2743, 16501, 4441, 286, 634, 9503, 5794, 10588, 3081, 952, 519, 6042, 1832, 3478, 31749, 267, 649, 949, 711, 563, 4407, 519, 2011, 8664, 6499, 15777, 2011, 267, 789, 2161, 519, 16501, 781, 4170, 949, 581, 796, 520, 1555, 762, 538, 519, 14860, 563, 20442, 723, 930, 540, 519, 10782, 2011, 2298, 538, 519, 4182, 2437, 1767, 26566, 830, 4591, 339, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 23463, 273, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 273, 348, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 266, 320, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 273, 23463, 273, 348, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 266, 290, 263, 394, 358, 273, 266, 290, 263, 394, 358, 2420, 267, 271, 1070, 320, 1070, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 273, 23463, 273, 348, 272, 346, 272, 23463, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 273, 23463, 273, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 273, 348, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 266, 320, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 273, 346, 272, 23463, 272, 23463, 273, 348, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 320, 11924, 290, 263, 394, 358, 273, 267, 290, 263, 394, 358, 273, 266, 290, 263, 394, 358, 2420, 267, 271, 1070, 271, 24270, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 320, 11924, 320, 267, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 320, 264, 273, 267, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 267, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 11924, 272, 28083, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 264, 273, 28083, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 273, 267, 290, 263, 394, 358, 2420, 17070, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 273, 266, 320, 267, 290, 263, 394, 358, 2420, 17070, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 267, 290, 263, 394, 358, 2420, 17070, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 290, 263, 394, 358, 2420, 17070, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 267, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 266, 272, 267, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 266, 320, 267, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 267, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 273, 23463, 272, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 266, 272, 267, 271, 1070, 320, 1070, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 273, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 28083, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 346, 272, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 266, 290, 263, 394, 358, 2420, 267, 271, 1070, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 346, 272, 346, 272, 23463, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 273, 267, 290, 263, 394, 358, 2420, 267, 271, 24270, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 273, 23463, 273, 348, 272, 267, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 266, 272, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 346, 272, 346, 272, 23463, 272, 346, 272, 23463, 273, 23463, 273, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 273, 348, 273, 23463, 273, 348, 273, 23463, 272, 23463, 273, 348, 273, 414, 501, 488, 273, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 266, 320, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 274, 348, 273, 414, 501, 488, 274, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 1070, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 414, 501, 488, 275, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 24270, 271, 1070, 271, 994, 1892, 2715, 272, 23463, 272, 346, 272, 23463, 272, 414, 501, 488, 275, 348, 272, 346, 272, 23463, 272, 414, 501, 488, 275, 348, 273, 414, 501, 488, 275, 348, 814, 16571, 542, 1377, 595, 18154, 263, 394, 358, 2420, 17070, 266, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 290, 263, 394, 358, 273, 266, 290, 18154, 263, 394, 358, 2420, 17070, 267, 271, 1070, 290, 263, 394, 358, 2420, 267, 271, 24270, 320, 24270, 271, 1070, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 941, 10419, 1302, 1373, 10736, 267, 543, 28457, 748, 10997, 799, 519, 536, 28123, 12251, 267, 7210, 2989, 609, 4013, 3256, 267, 1131, 22036, 1100, 3476, 269, 3849, 3200, 1047, 618, 454, 268, 721, 21874, 12029, 269, 0, 1432, 2186, 540, 513, 1153, 2528, 1058, 3610, 2832, 547, 1628, 286, 1548, 568, 2877, 585, 713, 547, 4755, 888, 27645, 616, 15888, 267, 4589, 543, 25963, 540, 513, 2528, 693, 1153, 269, 962, 518, 267, 568, 621, 2009, 547, 1832, 713, 2528, 9800, 543, 1071, 13463, 671, 676, 1053, 607, 1134, 607, 519, 1007, 3610, 945, 2097, 538, 888, 2252, 3506, 543, 3610, 1616, 606, 5790, 540, 1930, 267, 3742, 1565, 543, 1711, 513, 2230, 585, 15819, 267, 3206, 1927, 543, 3395, 1927, 267, 1018, 1131, 581, 2877, 547, 1628, 713, 888, 3674, 568, 711, 2556, 585, 3610, 540, 513, 1153, 607, 513, 2146, 547, 723, 513, 1455, 1620, 267, 513, 1455, 2631, 540, 519, 6891, 540, 1153, 543, 2069, 888, 1692, 666, 3610, 1118, 713, 4755, 286, 2334, 568, 267, 952, 1153, 568, 547, 581, 513, 1747, 1863, 540, 4250, 267, 513, 1747, 540, 16837, 543, 513, 1747, 585, 3742, 2208, 543, 1565, 32465, 286, 0, 3086, 12997, 267, 519, 6891, 540, 1434, 786, 4667, 547, 581, 7444, 12955, 1055, 1813, 547, 513, 3668, 540, 3972, 538, 8103, 782, 1472, 269, 1306, 952, 621, 7012, 1406, 2352, 2614, 2907, 547, 3972, 2576, 267, 17493, 1085, 4461, 723, 1831, 811, 543, 811, 2442, 538, 519, 2250, 8717, 267, 1818, 621, 2352, 547, 917, 950, 513, 17493, 7681, 568, 513, 16048, 13539, 267, 610, 952, 621, 779, 513, 1085, 600, 563, 2414, 2149, 3054, 689, 891, 2010, 540, 12611, 9094, 267, 621, 568, 1271, 547, 5432, 1047, 3054, 609, 519, 15361, 543, 575, 574, 6193, 802, 540, 891, 20737, 607, 1134, 607, 1565, 875, 547, 3927, 2697, 543, 22942, 950, 513, 17493, 568, 4986, 811, 982, 513, 1085, 600, 563, 4415, 513, 2486, 865, 24760, 883, 519, 4950, 267, 649, 616, 782, 7683, 11303, 676, 519, 1981, 540, 1373, 519, 6408, 540, 513, 6880, 3463, 563, 4322, 6880, 6937, 616, 10876, 543, 10460, 971, 513, 1804, 8397, 8594, 602, 6880, 6285, 616, 519, 3791, 5207, 3463, 538, 5245, 267, 4947, 3297, 1175, 676, 1079, 4025, 13752, 547, 2067, 12469, 543, 3665, 4365, 267, 6606, 269, 769, 5245, 267, 12611, 9094, 1942, 513, 2698, 540, 589, 259, 4366, 280, 269, 278, 2929, 1175, 538, 476, 1001, 279, 4805, 563, 17843, 11868, 9737, 6181, 527, 1493, 4077, 885, 543, 674, 820, 5029, 31907, 454, 272, 269, 16242, 18745, 454, 3080, 540, 519, 7887, 2699, 17514, 568, 950, 596, 616, 30409, 676, 513, 11347, 540, 606, 13539, 602, 2712, 2471, 596, 547, 1118, 606, 7525, 21856, 269, 1358, 949, 1118, 606, 28195, 543, 2995, 596, 602, 707, 21856, 568, 2877, 2712, 326, 1836, 547, 948, 971, 543, 971, 267, 855, 6038, 789, 786, 6140, 2911, 547, 596, 827, 1818, 519, 21856, 267, 2864, 982, 6158, 827, 519, 17493, 3294, 563, 4322, 2010, 540, 1085, 4461, 2049, 936, 519, 6049, 543, 676, 4757, 269, 2142, 649, 776, 540, 791, 14601, 8069, 602, 723, 741, 3750, 593, 707, 2724, 563, 273, 269, 11289, 995, 585, 2507, 23875, 888, 288, 1360, 2025, 8945, 568, 32296, 596, 689, 606, 16957, 2486, 610, 13539, 799, 568, 982, 6362, 596, 585, 1818, 513, 2250, 21856, 563, 7437, 713, 2962, 267, 7301, 14540, 2744, 707, 3972, 676, 1818, 596, 1589, 596, 723, 2907, 24603, 538, 519, 2250, 267, 543, 952, 789, 6952, 596, 26531, 267, 596, 1131, 3533, 24946, 547, 519, 2014, 1175, 547, 1205, 1055, 519, 6049, 563, 274, 269, 1306, 6362, 585, 4139, 9796, 906, 454, 2005, 568, 1455, 602, 596, 616, 30409, 547, 1118, 513, 21856, 2509, 606, 3486, 17493, 267, 799, 568, 4092, 538, 513, 4914, 1747, 543, 3340, 596, 547, 6494, 7482, 3842, 2724, 1931, 267, 5911, 4483, 267, 3059, 9304, 8569, 610, 998, 606, 3486, 4871, 4483, 563, 2252, 513, 17493, 12134, 585, 513, 21856, 540, 713, 2470, 547, 581, 1500, 267, 581, 6297, 607, 3486, 11033, 616, 2352, 547, 3950, 543, 621, 1131, 581, 12691, 585, 596, 547, 1205, 707, 2724, 1394, 563, 288, 6478, 540, 31876, 454, 6524, 1818, 1022, 1826, 540, 8569, 267, 2638, 513, 17493, 779, 1036, 3588, 2012, 2059, 609, 741, 3896, 269, 1403, 513, 17493, 3085, 1406, 723, 513, 3896, 543, 789, 1152, 723, 513, 1514, 2923, 2985, 267, 713, 568, 513, 5458, 2699, 9206, 602, 6645, 596, 519, 13539, 568, 811, 982, 2693, 711, 16048, 563, 2252, 1022, 540, 519, 1614, 15361, 543, 575, 574, 6193, 802, 14437, 827, 1397, 909, 593, 707, 7450, 21163, 267, 3314, 547, 7771, 1818, 1022, 23190, 543, 2141, 2243, 606, 13539, 779, 22754, 1354, 6236, 1818, 513, 21856, 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 ]
[ 1271, 269, 1358, 616, 5140, 607, 513, 12129, 17339, 267, 855, 789, 616, 865, 8101, 602, 789, 666, 581, 6039, 585, 12899, 267, 4805, 610, 609, 513, 19997, 563, 302, 344, 9094, 616, 2356, 2451, 2898, 538, 519, 23690, 3122, 20312, 4302, 563, 9199, 3431, 267, 513, 20312, 4302, 814, 513, 32729, 3490, 267, 543, 519, 16115, 2933, 616, 1419, 606, 1898, 12146, 538, 713, 3490, 269, 1280, 1383, 267, 519, 3490, 540, 1034, 10981, 3122, 20312, 13196, 568, 5423, 676, 9427, 519, 5779, 689, 11273, 10981, 3122, 16115, 267, 1287, 11493, 519, 16115, 543, 14495, 873, 609, 5388, 543, 4005, 902, 269, 634, 26185, 568, 2269, 1441, 609, 713, 7848, 543, 5394, 2989, 267, 609, 519, 10981, 3122, 5779, 2759, 883, 18695, 610, 1295, 1027, 543, 8120, 547, 519, 17339, 547, 31652, 585, 1175, 513, 1906, 3764, 1354, 7674, 563, 289, 529, 4302, 568, 2356, 5394, 2989, 609, 513, 13193, 343, 563, 289, 529, 13196, 616, 5394, 2989, 609, 513, 2647, 3099, 540, 5820, 267, 609, 1082, 10346, 10912, 585, 2789, 5394, 2287, 8069, 269, 1280, 1383, 267, 606, 5140, 23690, 3122, 20312, 4302, 11600, 7125, 585, 5144, 267, 8645, 267, 543, 4212, 586, 565, 802, 607, 5394, 22211, 269, 3509, 20312, 13196, 616, 5394, 2989, 676, 513, 10448, 6986, 324, 1500, 676, 2269, 1456, 519, 1134, 2275, 10541, 5388, 998, 513, 521, 10079, 269, 4469, 712, 267, 2356, 538, 519, 1106, 540, 13193, 343, 267, 568, 849, 513, 2442, 5394, 10273, 585, 20312, 13196, 267, 543, 3694, 1835, 29304, 616, 849, 1336, 538, 930, 10346, 269, 589, 9133, 602, 568, 1134, 8153, 855, 1419, 15763, 568, 602, 1100, 17339, 610, 14036, 1058, 14974, 1310, 4946, 1022, 851, 540, 513, 6151, 4212, 547, 5394, 523, 621, 563, 2691, 1818, 10981, 3122, 20312, 4302, 267, 1082, 22730, 946, 4773, 540, 5779, 689, 519, 2766, 563, 6624, 29397, 946, 513, 1025, 2658, 547, 3035, 519, 5812, 27598, 9403, 602, 1915, 3278, 1034, 20312, 13196, 267, 543, 713, 814, 1831, 606, 11807, 2259, 269, 769, 930, 2665, 267, 32729, 5779, 568, 9268, 538, 513, 1025, 2658, 609, 519, 1964, 540, 519, 5820, 1134, 2275, 10541, 269, 2368, 20312, 13196, 267, 971, 607, 10981, 3122, 543, 26029, 267, 616, 6039, 609, 4773, 540, 5779, 538, 519, 17339, 267, 891, 4773, 616, 1152, 3773, 1310, 1022, 25588, 267, 585, 1175, 513, 1906, 8090, 540, 5986, 269, 1879, 8600, 1034, 23690, 3122, 20312, 13196, 267, 593, 519, 824, 1688, 267, 519, 10347, 23690, 9094, 616, 711, 2759, 543, 1416, 568, 3144, 711, 547, 1577, 873, 1835, 18443, 1354, 7674, 563, 4537, 18276, 20312, 4302, 568, 513, 17339, 7768, 540, 20544, 6986, 324, 609, 1585, 5388, 563, 12179, 1434, 20312, 4302, 1058, 581, 6039, 5612, 1310, 621, 568, 6569, 689, 519, 3002, 269, 1280, 1346, 2053, 950, 621, 568, 2556, 547, 556, 17742, 513, 5892, 669, 2683, 20312, 4302, 267, 519, 17339, 1058, 581, 12699, 538, 513, 536, 664, 2173, 541, 773, 267, 538, 14495, 1216, 269, 1403, 513, 669, 2683, 20312, 4302, 568, 1932, 5394, 543, 2115, 547, 581, 6094, 2740, 267, 1507, 5666, 540, 1216, 1058, 581, 9900, 13489, 1042, 2394, 621, 10301, 519, 1697, 11007, 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 ]
[ 1118, 513, 1187, 543, 2241, 5985, 563, 1432, 23287, 1058, 594, 946, 888, 288, 8799, 543, 20202, 15441, 6529, 568, 3501, 585, 713, 1788, 269, 4635, 513, 3043, 1153, 15441, 11148, 547, 2112, 335, 519, 1957, 543, 3884, 1406, 519, 1655, 3903, 585, 713, 1957, 1788, 269, 0, 14818, 16238, 568, 4922, 6444, 585, 3384, 4887, 2450, 543, 4222, 269, 1717, 267, 922, 1764, 593, 519, 8401, 1062, 543, 7180, 267, 3226, 538, 2635, 2937, 9038, 267, 568, 711, 607, 7184, 6956, 269, 2552, 9009, 547, 1455, 3661, 267, 1699, 1382, 814, 711, 3964, 513, 1463, 3095, 1063, 19697, 2157, 543, 4638, 7287, 538, 519, 2489, 2551, 540, 2635, 2937, 2367, 563, 7212, 2530, 540, 16245, 850, 1599, 568, 4767, 538, 2665, 540, 5641, 1674, 610, 2147, 2619, 3098, 267, 4638, 7287, 1281, 711, 642, 4314, 269, 901, 5267, 602, 4638, 2534, 568, 811, 513, 1587, 540, 2790, 3157, 267, 799, 4268, 1759, 593, 6197, 543, 1272, 2621, 563, 1432, 568, 519, 20556, 9737, 10552, 4530, 16238, 20946, 543, 20548, 4809, 270, 309, 2723, 550, 610, 20322, 5652, 10263, 888, 20059, 580, 725, 883, 519, 4276, 1063, 1973, 19697, 2157, 543, 10728, 267, 10795, 267, 610, 19408, 7180, 7866, 9670, 4681, 269, 769, 10708, 543, 2367, 7722, 538, 24431, 3469, 3527, 267, 19697, 2157, 616, 711, 17047, 609, 971, 19326, 269, 5502, 267, 1514, 2188, 899, 2069, 1377, 543, 8739, 20300, 4282, 616, 811, 10213, 563, 4322, 4030, 4161, 519, 8305, 9189, 602, 19697, 2047, 9598, 919, 10728, 610, 19408, 7180, 267, 15738, 547, 513, 811, 1950, 16799, 540, 17441, 267, 2825, 267, 543, 6848, 7506, 563, 8489, 1684, 13834, 20212, 17389, 538, 13262, 15863, 267, 12745, 783, 15350, 267, 543, 16508, 31472, 7010, 888, 29590, 6114, 19334, 1808, 1949, 538, 519, 11020, 267, 23091, 609, 519, 3929, 5547, 5473, 519, 993, 17789, 323, 8403, 543, 18215, 545, 1062, 269, 3194, 2982, 8037, 4008, 3604, 538, 2566, 11852, 267, 13865, 3965, 267, 543, 3929, 3210, 1949, 563, 29590, 12153, 519, 3929, 1062, 267, 1978, 10444, 2127, 267, 543, 519, 524, 532, 3634, 16794, 538, 2021, 269, 769, 2367, 267, 2242, 616, 4767, 538, 519, 4776, 30613, 16794, 11852, 267, 609, 2799, 2534, 538, 519, 1318, 21571, 543, 8519, 2534, 538, 519, 2451, 563, 20685, 1670, 12496, 2303, 513, 968, 325, 697, 610, 8184, 892, 3210, 538, 2367, 543, 513, 968, 339, 754, 543, 581, 23136, 892, 3210, 538, 2021, 269, 634, 11852, 540, 519, 4775, 11020, 896, 2566, 949, 3565, 547, 15555, 1588, 267, 513, 1981, 3815, 585, 4965, 269, 17115, 4965, 568, 811, 4122, 4767, 538, 2021, 267, 1419, 11911, 547, 1981, 2188, 2404, 609, 2673, 1514, 5121, 630, 668, 4842, 543, 29281, 3347, 267, 1126, 3146, 2130, 267, 543, 15970, 1916, 4913, 267, 2487, 16917, 8344, 1239, 5815, 513, 2362, 18687, 547, 4965, 538, 2367, 6849, 9036, 7965, 267, 16028, 267, 9668, 267, 610, 950, 2566, 2188, 18645, 936, 942, 563, 1692, 1684, 19884, 543, 11671, 10818, 531, 20212, 2494, 28685, 9737, 717, 11367, 888, 18131, 8858, 9120, 2773, 538, 10444, 267, 11132, 3965, 267, 543, 1514, 17133, 269, 2311, 519, 1482, 942, 267, 2367, 14133, 538, 8901, 8226, 267, 1614, 8820, 3206, 267, 543, 9300, 574, 19318, 3432, 269, 1452, 3604, 616, 12082, 538, 3982, 2634, 14479, 3270, 281, 2367, 1397, 2178, 4296, 1369, 835, 21571, 267, 6466, 2021, 8858, 4296, 2066, 8280, 7371, 12742, 563, 1103, 2367, 267, 713, 14479, 949, 2272, 585, 4028, 1344, 4393, 543, 4305, 11056, 267, 16046, 8226, 543, 2962, 269, 769, 2021, 267, 621, 16881, 519, 5610, 540, 7744, 543, 20932, 267, 7393, 3929, 4987, 543, 1893, 15334, 563, 3963, 568, 713, 11310, 12830, 888, 5804, 513, 4052, 29459, 267, 1620, 891, 3604, 568, 2629, 538, 2766, 1681, 4485, 538, 2069, 267, 3797, 267, 543, 9036, 5054, 547, 1732, 8597, 547, 519, 2189, 9342, 543, 2115, 540, 1142, 4008, 269, 901, 1702, 849, 2337, 538, 3181, 6064, 532, 11475, 543, 5807, 513, 811, 13857, 7071, 540, 4008, 10391, 7592, 543, 7207, 563, 1103, 3932, 267, 1247, 19697, 4249, 513, 1713, 1909, 538, 2168, 10305, 267, 922, 1764, 593, 519, 8401, 1062, 543, 7180, 568, 1447, 1463, 543, 811, 13857, 269, 20876, 519, 6946, 16799, 540, 10399, 267, 2634, 1599, 267, 543, 1514, 2188, 3091, 513, 811, 3102, 1620, 540, 1480, 7180, 543, 5626, 1072, 269, 901, 4656, 666, 1291, 547, 811, 2500, 2994, 538, 2790, 1072, 267, 2069, 267, 543, 1514, 6384, 267, 7700, 547, 513, 811, 8537, 543, 28450, 2486, 563, 1692, 6496, 4530, 16238, 18748, 519, 32471, 748, 3590, 543, 10263, 888, 14818, 16238, 779, 3310, 11498, 3564, 4887, 1646, 547, 1764, 519, 8401, 1062, 543, 7180, 269, 4014, 621, 779, 4122, 2404, 609, 14699, 543, 4638, 5397, 267, 1382, 6920, 602, 922, 2360, 616, 811, 13857, 269, 769, 2635, 2937, 9038, 267, 972, 568, 1100, 2312, 1463, 3095, 1063, 19697, 2157, 543, 4638, 7287, 269, 3958, 267, 10728, 543, 19408, 19326, 616, 711, 2047, 17047, 609, 19697, 2157, 267, 11021, 602, 1514, 543, 2825, 2188, 3310, 891, 19326, 563, 1432, 1772, 519, 20556, 9737, 10552, 4530, 16238, 20946, 543, 20548, 4809, 10263, 888, 6944, 9009, 547, 2442, 3661, 267, 972, 568, 1100, 1463, 9756, 1063, 1973, 19697, 2157, 543, 10728, 610, 10795, 7180, 538, 10708, 610, 2367, 7722, 538, 24431, 3469, 2238, 269, 3194, 5267, 602, 971, 19326, 616, 811, 6766, 676, 1514, 543, 2825, 2188, 2864, 982, 9003, 676, 19697, 2157, 563, 8489, 1684, 13834, 20212, 538, 13262, 13786, 525, 7880, 3729, 538, 519, 11020, 888, 29638, 3604, 538, 2566, 6114, 616, 12082, 538, 3982, 2634, 2127, 269, 13262, 31591, 2021, 779, 3929, 1062, 267, 1808, 10444, 2127, 267, 543, 519, 524, 532, 3634, 16794, 269, 769, 2367, 267, 2242, 616, 4767, 5631, 538, 519, 4776, 30613, 16794, 269, 1452, 3604, 1764, 875, 1142, 4008, 3157, 2566, 267, 609, 2021, 5732, 811, 12155, 547, 15555, 1588, 267, 513, 1981, 3815, 585, 4965, 563, 2691, 1684, 9093, 8058, 14451, 12246, 1061, 2225, 547, 12870, 888, 13146, 2090, 5815, 602, 2367, 616, 811, 11630, 547, 4965, 538, 1978, 3871, 267, 971, 607, 9036, 2591, 267, 16028, 267, 9668, 267, 610, 950, 6849, 19017, 2566, 936, 513, 1279, 1974, 269, 901, 2591, 519, 3105, 10206, 602, 4965, 568, 811, 11342, 538, 2021, 267, 10223, 519, 2956, 540, 2796, 538, 2790, 1072, 563, 1692, 1684, 11020, 4045, 2032, 20212, 9737, 717, 11367, 21478, 10263, 888, 24464, 543, 2021, 8858, 1114, 3270, 540, 2634, 14479, 267, 799, 3310, 741, 9757, 5042, 543, 24040, 5759, 269, 9093, 4043, 547, 723, 6793, 4296, 1369, 835, 21571, 267, 29000, 538, 4028, 1344, 4393, 543, 4305, 11056, 269, 17957, 267, 2021, 1397, 811, 4296, 2066, 8280, 7371, 12742, 267, 14123, 519, 5610, 540, 7744, 543, 20932, 543, 7393, 3929, 4987, 543, 1893, 1983, 269, 0, 763, 13584, 26290, 523, 29274, 454, 763, 13584, 26290, 523, 29274, 729, 1128, 21114, 676, 3751, 29775, 2378, 966, 547, 1665, 13584, 26290, 523, 779, 476, 3199, 628, 14512, 538, 476, 3707, 276, 269, 634, 30407, 568, 13752, 538, 6284, 540, 14222, 7499, 10781, 563, 763, 30407, 24705, 1537, 3217, 1747, 593, 26290, 523, 2012, 1554, 630, 21776, 476, 276, 1040, 634, 8366, 16008, 3217, 1747, 827, 513, 3018, 2663, 563, 763, 30407, 568, 13752, 538, 4154, 630, 326, 1245, 13807, 730, 8988, 264, 538, 476, 279, 628, 2450, 267, 543, 568, 12816, 593, 519, 9221, 538, 513, 3043, 3917, 3641, 22554, 26781, 609, 4544, 8728, 563, 7468, 1550, 26290, 523, 476, 5908, 276, 268, 3707, 278, 454, 292, 1872, 523, 19167, 21208, 7637, 639, 729, 4535, 538, 4864, 476, 5908, 276, 693, 667, 549, 1777, 940, 27048, 20066, 607, 519, 21836, 5067, 540, 744, 12921, 541, 630, 2862, 264, 543, 1924, 325, 807, 540, 715, 817, 879, 269, 13584, 26290, 523, 729, 16099, 540, 715, 7564, 337, 651, 563, 5475, 11264, 1010, 2875, 543, 11464, 781, 4110, 267, 646, 13991, 5128, 14311, 547, 1010, 26274, 269, 1261, 7902, 585, 519, 1101, 942, 538, 8303, 538, 476, 6642, 280, 609, 267, 1851, 824, 1919, 267, 513, 2480, 534, 1014, 5251, 269, 26290, 523, 2968, 835, 540, 1346, 945, 2813, 519, 3084, 16528, 5251, 2511, 540, 519, 476, 3445, 781, 269, 7324, 1010, 1568, 666, 581, 5018, 634, 6196, 16836, 267, 634, 13192, 543, 634, 7085, 563, 1103, 476, 6245, 279, 267, 519, 13584, 13401, 1010, 1101, 544, 1116, 609, 670, 15676, 5790, 585, 519, 28709, 781, 10424, 535, 1195, 518, 269, 1261, 814, 849, 13401, 23906, 1723, 525, 585, 519, 667, 1090, 1738, 26308, 543, 14351, 27048, 4975, 8065, 269, 769, 476, 6245, 280, 26290, 523, 11751, 9546, 12047, 1513, 644, 1372, 693, 918, 2426, 331, 269, 30622, 4026, 18033, 6113, 523, 538, 14351, 27048, 269, 4438, 519, 476, 736, 781, 267, 646, 1419, 3576, 1010, 18305, 689, 7977, 543, 3331, 500, 3122, 6352, 538, 2480, 16492, 563, 292, 1872, 523, 729, 835, 540, 519, 19466, 5251, 26719, 540, 1010, 942, 543, 513, 1713, 1148, 21689, 609, 513, 1445, 593, 5097, 16528, 1148, 269, 769, 476, 3707, 276, 267, 593, 1010, 476, 3199, 628, 14512, 267, 29775, 2378, 966, 1128, 21114, 519, 13584, 26290, 523, 29274, 585, 14222, 7499, 9740, 563, 292, 1872, 523, 5747, 693, 9546, 12047, 1513, 644, 1372, 538, 476, 3707, 278, 267, 607, 513, 15266, 776, 10516, 646, 1185, 19942, 936, 1010, 1753, 609, 1148, 10070, 547, 519, 16528, 1533, 269, 2311, 519, 1439, 540, 4873, 476, 3707, 279, 267, 519, 9754, 2398, 1231, 26290, 839, 9546, 12047, 1513, 644, 1372, 8118, 547, 519, 1857, 269, 0, 24426, 828, 322, 3234, 10904, 1419, 3077, 1507, 10909, 1317, 789, 3668, 519, 2200, 547, 1683, 519, 1482, 4027, 607, 8273, 14078, 269, 634, 3790, 540, 513, 1239, 21556, 267, 799, 949, 1331, 4376, 689, 14406, 7607, 547, 3441, 547, 513, 2754, 781, 6216, 267, 616, 1419, 19765, 13846, 267, 609, 476, 6246, 260, 540, 782, 6880, 3430, 2931, 6098, 693, 1507, 14540, 269, 10803, 1397, 602, 1310, 3670, 3275, 540, 513, 1239, 21556, 267, 476, 2568, 260, 540, 1507, 10909, 602, 941, 19847, 616, 1100, 3476, 538, 5106, 563, 6097, 547, 513, 2487, 5619, 267, 936, 3368, 540, 782, 3549, 609, 1447, 982, 476, 2004, 4600, 798, 711, 21138, 7482, 2509, 14590, 269, 3204, 21884, 2406, 267, 1152, 476, 1240, 260, 540, 14540, 723, 6880, 6142, 563, 7212, 1022, 2754, 1522, 581, 5734, 2182, 676, 513, 6880, 3430, 871, 267, 1507, 10909, 616, 2523, 7925, 269, 15536, 3430, 2931, 949, 723, 2484, 23568, 2360, 593, 513, 2754, 781, 18083, 267, 31449, 267, 1870, 2203, 267, 7607, 267, 9441, 9547, 267, 543, 824, 2188, 952, 519, 6109, 568, 12707, 335, 1563, 563, 24730, 3400, 577, 529, 267, 513, 9972, 22639, 693, 7665, 529, 11740, 8419, 7330, 1767, 267, 968, 2252, 596, 2461, 711, 3257, 18767, 543, 21774, 4255, 267, 1287, 1175, 917, 602, 2576, 3116, 568, 269, 1656, 789, 1810, 1406, 960, 585, 596, 3034, 302, 1233, 619, 540, 30596, 543, 1507, 4213, 1590, 5431, 519, 8904, 540, 519, 6880, 3463, 547, 1491, 519, 2556, 15416, 543, 28863, 269, 1284, 786, 1865, 519, 2360, 540, 6880, 3430, 2931, 593, 1507, 3549, 267, 2409, 585, 7303, 543, 19086, 873, 267, 543, 3268, 547, 1491, 538, 519, 2013, 540, 606, 4323, 269, 19808, 9711, 2986, 15536, 16920, 2931, 2201, 9540, 24371, 454, 2252, 513, 2754, 568, 519, 6408, 540, 513, 6880, 3430, 871, 267, 922, 10639, 1522, 1491, 513, 2101, 5734, 269, 11426, 619, 949, 581, 6923, 26997, 547, 2132, 547, 8637, 602, 723, 1044, 519, 9072, 540, 14213, 338, 269, 6684, 267, 9520, 949, 711, 1616, 547, 1205, 3238, 952, 789, 1294, 1373, 513, 6408, 540, 513, 11360, 607, 513, 1129, 540, 1416, 16531, 269, 634, 2530, 540, 16805, 1761, 5520, 945, 616, 18901, 1055, 676, 519, 2754, 781, 2942, 3239, 568, 1776, 12343, 540, 713, 3390, 563, 7197, 1507, 2754, 1239, 23563, 2049, 1813, 547, 1480, 5470, 269, 4340, 547, 22126, 781, 1382, 267, 21687, 9163, 616, 519, 1034, 11342, 7127, 1448, 585, 555, 773, 1407, 883, 513, 2754, 781, 3060, 269, 634, 3668, 540, 14590, 2866, 538, 1507, 16904, 3762, 4600, 7925, 547, 1514, 4702, 14565, 267, 5739, 6937, 267, 543, 519, 23930, 540, 14804, 9746, 543, 7082, 1344, 563, 22102, 543, 5420, 13355, 16904, 630, 306, 10933, 338, 264, 5051, 4497, 538, 552, 19645, 543, 25117, 741, 4238, 269, 769, 1840, 267, 789, 7048, 8185, 593, 741, 5985, 3457, 585, 3318, 5301, 267, 971, 607, 4757 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 777, 573, 9542, 547, 3209, 4247, 568, 513, 10689, 5658, 540, 10995, 7180, 269, 18972, 616, 26526, 21295, 693, 713, 267, 1813, 547, 741, 4390, 547, 2489, 1125, 1991, 1702, 689, 1644, 2250, 1995, 269, 1280, 1383, 267, 3425, 666, 10536, 513, 1007, 1893, 1454, 811, 3362, 952, 621, 568, 2147, 547, 741, 3993, 11469, 269, 2311, 519, 1482, 942, 267, 1932, 1454, 8112, 666, 849, 581, 14427, 269, 1280, 1383, 267, 519, 1482, 1893, 15226, 949, 1995, 968, 32401, 2828, 892, 3056, 547, 936, 2102, 1968, 1436, 543, 13779, 1063, 4654, 269, 898, 568, 4867, 7164, 875, 519, 1480, 2634, 11737, 6233, 713, 4123, 11325, 547, 1106, 1702, 11269, 602, 616, 1312, 8465, 630, 1729, 11863, 31633, 264, 543, 2943, 26654, 531, 2213, 630, 1729, 7413, 13779, 1916, 1607, 1788, 786, 9192, 6198, 2634, 9196, 267, 12985, 20592, 267, 543, 4806, 2079, 2553, 689, 3684, 1565, 547, 23827, 622, 519, 2497, 540, 1702, 11269, 602, 3666, 891, 7569, 269, 31401, 786, 581, 5342, 547, 4983, 875, 1480, 5396, 1451, 547, 1685, 3209, 11008, 1436, 4247, 538, 20422, 2866, 543, 4483, 11775, 269, 29918, 15252, 11890, 543, 4305, 7569, 666, 10956, 610, 1689, 2066, 11775, 547, 1711, 8082, 1063, 1702, 4687, 543, 26654, 531, 5314, 269, 9521, 1034, 1480, 1382, 267, 855, 2147, 547, 1036, 6036, 538, 3662, 1382, 543, 3684, 1565, 267, 891, 4247, 786, 581, 5340, 609, 8766, 8763, 6044, 267, 8506, 5396, 547, 1451, 519, 3209, 4247, 3842, 4693, 543, 5470, 563, 16987, 9323, 786, 581, 6192, 1247, 5396, 10929, 6198, 2634, 9196, 269, 589, 1505, 1634, 607, 2099, 1049, 16726, 2079, 786, 581, 1031, 547, 4983, 519, 2497, 540, 8849, 11269, 602, 616, 4646, 607, 5396, 10536, 1702, 827, 3209, 4247, 269, 589, 1390, 16495, 540, 2099, 1049, 16726, 568, 602, 621, 666, 581, 3379, 2066, 1114, 2634, 9196, 23857, 267, 607, 1134, 607, 1063, 6592, 2634, 6786, 543, 12985, 3631, 602, 616, 8036, 547, 4194, 519, 1482, 4247, 269, 1306, 971, 267, 621, 2488, 513, 3638, 10763, 5943, 547, 8495, 875, 519, 2634, 1958, 3941, 1702, 563, 8794, 891, 2645, 267, 519, 2875, 786, 581, 2016, 519, 4316, 547, 1020, 713, 1899, 540, 1382, 543, 2232, 741, 1378, 2055, 540, 1719, 269, 634, 2875, 786, 4309, 538, 3829, 2866, 538, 2409, 543, 2035, 689, 6530, 267, 23798, 267, 543, 3684, 1565, 267, 3850, 873, 547, 1020, 513, 2647, 2039, 540, 3407, 1983, 563, 2690, 811, 1344, 267, 5225, 3643, 281, 4179, 2517, 4178, 12500, 26309, 28482, 16896, 22812, 14142, 270, 13808, 8276, 756, 339, 335, 27651, 269, 5684, 343, 454, 32101, 21120, 281, 5130, 476, 736, 267, 476, 1708, 274, 0, 290, 1245, 32168, 525, 267, 4672, 31725, 543, 4411, 29636, 454, 290, 1245, 32168, 525, 267, 4411, 29636, 267, 3956, 8839, 543, 4672, 31725, 723, 1831, 5051, 2442, 543, 609, 15151, 1434, 2601, 269, 2368, 540, 519, 4080, 2640, 540, 4411, 3797, 1331, 1732, 3207, 267, 4824, 10307, 267, 543, 5488, 6051, 689, 15319, 1145, 563, 6124, 1382, 2982, 602, 4411, 4598, 4389, 5778, 514, 25691, 282, 6553, 538, 519, 2634, 543, 11983, 10260, 269, 901, 4466, 849, 5267, 2009, 2640, 585, 10081, 9404, 29774, 607, 5778, 514, 25691, 4249, 513, 1909, 538, 10081, 9404, 29774, 563, 763, 1353, 6743, 693, 4411, 4598, 538, 8983, 269, 15316, 4761, 6114, 538, 519, 8983, 941, 8947, 950, 789, 941, 6534, 547, 5210, 1472, 476, 1015, 5232, 524, 16364, 630, 2004, 5232, 535, 16366, 1916, 268, 634, 4411, 4598, 4389, 11852, 540, 3043, 1973, 2281, 538, 519, 1560, 563, 268, 901, 5786, 3366, 547, 513, 6175, 538, 519, 2281, 602, 3895, 5778, 514, 25691, 563, 268, 1452, 2242, 7902, 547, 948, 14927, 523, 10081, 9404, 29774, 538, 519, 8983, 563, 763, 1491, 12537, 281, 9453, 3478, 883, 519, 1950, 2257, 540, 713, 1353, 630, 8117, 952, 596, 1616, 547, 267, 519, 3095, 547, 519, 2407, 1353, 568, 693, 519, 5377, 540, 713, 20394, 1070, 891, 4681, 1397, 602, 1978, 3114, 6547, 538, 519, 1560, 602, 723, 547, 798, 609, 5778, 514, 25691, 543, 10081, 9404, 29774, 941, 1110, 4327, 676, 4411, 4598, 269, 634, 4589, 540, 519, 1353, 7150, 602, 519, 4681, 968, 25075, 728, 2565, 4030, 2560, 543, 1223, 1291, 547, 2104, 15324, 543, 9354, 4485, 585, 9049, 543, 824, 16991, 3676, 1848, 898, 568, 1271, 547, 4063, 602, 713, 1353, 729, 2944, 538, 2831, 269, 1677, 5963, 12260, 519, 1761, 585, 4411, 4598, 543, 10081, 9404, 29774, 267, 1480, 8062, 786, 581, 2877, 269, 0, 2691, 4191, 7620, 8915, 267, 789, 616, 3335, 693, 741, 10782, 269, 3683, 942, 267, 17061, 1332, 1447, 4049, 543, 1447, 7928, 269, 4107, 1004, 1995, 19058, 15601, 17061, 811, 982, 2899, 538, 741, 10715, 269, 3962, 1268, 2833, 891, 856, 10767, 7370, 693, 513, 1114, 4908, 269, 2637, 1388, 15601, 666, 581, 8995, 1210, 1896, 4255, 269, 2368, 4255, 1331, 5373, 1973, 267, 1247, 1866, 1289, 585, 513, 1025, 3563, 2220, 629, 563, 15703, 5061, 666, 581, 1031, 547, 1521, 19058, 15601, 269, 1452, 6527, 5351, 538, 23960, 519, 10826, 540, 21385, 538, 9241, 7783, 2043, 610, 1346, 7680, 20443, 17061, 269, 2368, 1004, 945, 1995, 15601, 2736, 8083, 1491, 6646, 3232, 547, 3247, 811, 17061, 610, 519, 2068, 689, 10825, 547, 741, 4638, 4891, 563, 7049, 1388, 15601, 3968, 1981, 666, 581, 4389, 538, 1896, 2081, 269, 589, 3735, 343, 598, 3256, 1058, 581, 1031, 1142, 942, 513, 1268, 814, 3023, 269, 898, 568, 711, 15695, 585, 2576, 547, 723, 5711, 267, 21420, 267, 610, 1387, 3023, 952, 789, 723, 28338, 610, 21385, 563, 9336, 1554, 267, 811, 982, 476, 272, 2929, 2010, 540, 524, 9092, 5254, 17762, 616, 10805, 538, 1585, 10506, 543, 19190, 607, 4080, 676, 519, 2622, 2657, 9257, 630, 21766, 1040, 1717, 267, 950, 538, 3829, 1382, 729, 2944, 2676, 763, 1739, 2185, 5254, 17762, 941, 11342, 2066, 519, 2475, 563, 9827, 1634, 607, 631, 2102, 267, 891, 4551, 1332, 3330, 519, 23443, 628, 571, 543, 19058, 8778, 855, 1397, 1100, 2589, 269, 769, 2367, 267, 891, 4551, 1522, 2014, 930, 1928, 543, 2220, 749, 538, 519, 1085, 8527, 636, 543, 585, 2021, 267, 621, 1522, 3441, 519, 2887, 26508, 13740, 1299, 1291, 547, 26983, 269, 9747, 267, 621, 568, 1360, 1271, 585, 1312, 2367, 543, 2021, 547, 1205, 513, 2834, 2638, 1575, 2944, 952, 789, 616, 16770, 3742, 563, 1607, 568, 835, 540, 519, 1034, 5906, 5563, 3361, 676, 4551, 269, 634, 2589, 540, 891, 4551, 616, 711, 1360, 7986, 2705, 6553, 540, 519, 23443, 628, 571, 568, 835, 1455, 10835, 1336, 269, 12207, 616, 3843, 547, 1265, 1732, 2081, 547, 3950, 891, 4551, 2705, 5711, 3023, 568, 513, 1455, 1259, 540, 922, 6771, 563, 23744, 3361, 676, 6704, 13572, 1216, 610, 711, 11067, 3946, 267, 713, 19800, 568, 849, 3361, 676, 6439, 531, 3023, 269, 634, 2589, 1522, 1331, 519, 10782, 11591, 21539, 320, 563, 299, 8233, 11491, 592, 5448, 10469, 699, 636, 912, 4322, 4551, 666, 1291, 547, 669, 31779, 807, 269, 12580, 1522, 1331, 513, 8781, 14815, 1247, 30614, 543, 2348, 3023, 269, 898, 849, 5012, 547, 2097, 13943, 11166, 543, 21901, 585, 602, 2339, 952, 2451, 15860, 585, 513, 1279, 942, 563, 5278, 6604, 585, 5254, 17762, 899, 15601, 454, 7093, 3685, 540, 2637, 1388, 4173, 6647, 454, 28097, 532, 19058, 15601, 1354, 519, 1101, 4638, 3346, 568, 2629, 1317, 3025, 945, 22851, 538, 4638, 2534, 4220, 24931, 621, 269, 4014, 6158, 827, 15601, 666, 581, 26101, 543, 19849, 23035, 267, 621, 18715, 602, 1312, 4891, 616, 3222, 540, 519, 1981, 540, 10825, 519, 4576, 1282, 3023, 269, 3958, 15695, 568, 6296, 4152, 585, 5254, 17762, 267, 3226, 952, 835, 610, 1312, 4891, 4497, 538, 519, 970, 1090, 541, 1388, 2534, 269, 898, 568, 1869, 15164, 547, 1291, 513, 5150, 543, 2635, 4638, 1272, 1256, 1310, 8391, 513, 19058, 15601, 5868, 267, 855, 596, 1590, 3635, 13657, 563, 268, 1403, 1152, 835, 7649, 538, 513, 6292, 814, 519, 3644, 267, 1210, 513, 3735, 343, 598, 3256, 1282, 1169, 4638, 3346, 666, 2539, 519, 4960, 540, 15601, 6771, 269, 634, 5506, 540, 6771, 11081, 609, 519, 2799, 946, 540, 3735, 343, 7873, 1682, 563, 268, 4635, 513, 598, 3256, 568, 15695, 1256, 952, 606, 1367, 814, 1100, 21399, 610, 28338, 563, 268, 1403, 596, 723, 19058, 21385, 267, 596, 1058, 2760, 723, 3023, 563, 29490, 2422, 589, 9473, 558, 912, 15463, 6647, 1522, 711, 22545, 693, 707, 7450, 1354, 4947, 269, 769, 519, 2013, 540, 5254, 17762, 267, 6604, 568, 2141, 1732, 982, 10826, 269, 4635, 513, 598, 3256, 666, 2141, 948, 596, 538, 9319, 5254, 17762, 563, 2252, 596, 616, 2576, 945, 568, 16770, 3742, 1287, 621, 568, 1360, 1271, 585, 596, 547, 979, 585, 2834, 2564, 2638, 13522, 269, 901, 786, 948, 596, 538, 16326, 1022, 31969, 538, 922, 2038, 2829, 1152, 563, 307, 1779, 547, 2659, 31313, 912, 29490, 723, 513, 2182, 6643, 609, 707, 7649, 269, 5269, 2386, 596, 917, 1142, 824, 779, 2250, 543, 3023, 1272, 1354, 3478, 3238, 1022, 2417, 563, 8256, 738, 589, 16362, 912, 2252, 596, 5469, 1022, 2589, 267, 798, 1921, 609, 707, 4387, 543, 1205, 707, 2638, 1575, 2944, 269, 1684, 711, 7227, 585, 1945, 2462, 547, 4755, 563, 1103, 519, 2475, 267, 621, 568, 8068, 602, 519, 2557, 540, 5254, 17762, 568, 3833, 1164, 269, 634, 2601, 568, 2038, 4638, 15657, 855, 3668, 540, 3023, 2069, 269, 898, 568, 8754, 1271, 585, 519, 2898, 31969, 17017, 6647, 2146, 547, 3262, 811, 4656, 10838, 519, 7820, 5481, 563, 18770, 823, 543, 8081, 454, 763, 6602, 540, 19058, 15601, 1522, 1118, 596, 1745, 11849, 3139, 267, 12922, 267, 543, 1253, 5962, 269, 4014, 891, 6114, 616, 6093, 267, 621, 779, 2629, 547, 3314, 602, 19058, 15601, 568, 513, 1521, 762, 3968, 269, 3509, 1004, 3605, 602, 13508, 267, 2436, 609, 741, 3119, 1416, 10629, 610, 513, 2790, 1072, 8502, 267, 568, 6225, 538, 5466, 519, 2042, 602, 2097, 609, 513, 19058, 15601, 5868, 269, 29960, 949, 581, 5393, 2629, 585, 1346, 945, 723, 7318, 2318, 585, 519, 3644, 855, 723, 711, 2943, 10268, 1022, 2589, 563, 288, 10194, 2783, 1572, 19058, 15601, 568, 10299, 998, 26697, 269, 2349, 8651, 1472, 519, 21420, 1858, 616, 4191, 540, 19058, 15601, 630, 324, 3052, 1421, 4050, 529, 267, 12765, 4169, 267, 606, 639, 267, 5175, 9366, 1040, 15049, 1154, 21385, 1020, 689, 519, 28338, 269, 2368, 2550, 1397, 11613, 1100, 2589, 269, 898, 568, 2141, 1732, 547, 6443, 15601, 1489, 2516, 547, 1491, 1416, 3054, 269, 0, 28406, 540, 667, 768, 656, 14863, 338, 538, 15604, 4400, 18323, 689, 29778, 28100, 454, 763, 667, 1314, 532, 685, 534, 7823, 568, 606, 1271, 2067, 13664, 11064, 267, 538, 5087, 7532, 6418, 31322, 543, 22070, 1261, 559, 784, 10202, 836, 11662, 267, 621, 568, 519, 1647, 851, 1063, 5033, 3511, 573, 24654, 1858, 593, 22070, 2427, 543, 519, 7414, 7909, 269, 898, 568, 849, 1634, 547, 581, 519, 5912, 7997, 10859, 268, 541, 573, 3148, 547, 10859, 18519, 1547, 3162, 7532, 2427, 540, 713, 1858, 568, 17808, 676, 10239, 865, 282, 519, 4832, 30734, 3112, 4283, 538, 713, 1858, 269, 634, 9456, 2427, 540, 713, 3148, 568, 18519, 543, 7262, 2427, 568, 811, 12015, 269, 14400, 2916, 568, 6045, 676, 13350, 32042, 540, 3636, 543, 18519, 2011, 689, 1970, 15038, 12084, 267, 1247, 5162, 4005, 568, 22983, 4411, 2011, 13999, 593, 1164, 4234, 6421, 269, 901, 1353, 729, 2944, 593, 1164, 20173, 538, 667, 1314, 532, 685, 534, 10239, 269, 634, 5993, 1611, 11517, 2604, 630, 6795, 269, 275, 267, 476, 6795, 269, 279, 267, 476, 5038, 269, 272, 264, 6606, 693, 27002, 267, 19109, 327, 267, 543, 715, 332, 4609, 543, 5993, 1611, 1019, 19012, 2837, 630, 1626, 267, 1428, 269, 277, 267, 476, 1321, 269, 278, 264, 6606, 693, 476, 274, 1606, 2572, 269, 12019, 652, 3923, 568, 5130, 543, 5021, 3905, 1145, 538, 13600, 540, 5147, 269, 16316, 4764, 8813, 6589, 585, 476, 6924, 260, 538, 4873, 547, 4864, 269, 28731, 11195, 1164, 538, 3395, 4005, 269, 11354, 543, 2038, 4832, 3068, 4049, 10980, 2175, 4749, 269, 901, 1858, 849, 814, 606, 3328, 1164, 8781, 2557, 538, 19580, 269, 0, 289, 2044, 961, 1756, 21019, 7557, 1456, 454, 290, 32111, 568, 513, 13811, 850, 1570, 267, 1818, 621, 3362, 2577, 514, 762, 269, 1717, 267, 536, 2044, 961, 1756, 23212, 2285, 519, 7601, 3063, 4222, 269, 645, 2044, 961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10142, 825, 1820, 3488, 11073, 518, 1599, 13059, 6418, 1599, 20298, 825, 2132, 6418, 4449, 3546, 1948, 589, 1599, 666, 2132, 1776, 1599, 1477, 325, 272, 284, 537, 614, 3890, 8587, 1948, 9018, 1299, 6418, 1599, 1289, 1477, 325, 272, 14052, 325, 272, 284, 537, 614, 1038, 1948, 585, 9018, 1599, 649, 616, 4758, 1776, 2012, 1315, 10818, 620, 328, 2084, 5897, 258, 8873, 6418, 4449, 3546, 1948, 589, 1599, 666, 2132, 1776, 1599, 1477, 258, 8873, 6418, 3890, 4449, 23526, 1948, 901, 7024, 1599, 3977, 1477, 0, 5814, 5925, 1477, 5814, 4351, 5897, 258, 763, 1739, 1104, 3948, 949, 1413, 1007, 547, 596, 1477, 258, 2171, 616, 8806, 28408, 519, 3252, 538, 519, 5399, 602, 786, 581, 1031, 1477, 258, 305, 1430, 982, 18631, 5399, 1599, 7125, 609, 834, 332, 2222, 4226, 1701, 267, 649, 1175, 946, 519, 2012, 834, 31728, 19963, 257, 585, 3236, 23228, 5228, 2890, 4226, 1104, 4159, 267, 12005, 267, 7735, 19963, 267, 3207, 5897, 258, 1250, 16182, 568, 519, 7329, 540, 713, 2890, 4226, 269, 476, 11910, 7329, 568, 519, 1985, 2890, 4226, 538, 519, 3921, 1400, 5311, 1477, 258, 950, 26471, 519, 2063, 2890, 4226, 781, 1289, 16182, 267, 581, 2386, 547, 3651, 519, 1871, 540, 519, 1101, 2890, 4226, 256, 630, 773, 269, 952, 476, 275, 616, 1373, 1031, 267, 2890, 4226, 2185, 786, 1289, 2890, 4226, 476, 272, 3418, 3240, 16182, 815, 1412, 821, 262, 1477, 322, 718, 16182, 815, 1412, 18314, 262, 1477, 22336, 821, 6831, 6817, 815, 1412, 13933, 262, 5897, 258, 8073, 519, 834, 4148, 1662, 257, 14318, 14604, 269, 2052, 596, 960, 856, 875, 621, 781, 2944, 286, 2725, 9444, 256, 1869, 2324, 593, 621, 23228, 3240, 4148, 1662, 815, 1496, 15862, 14061, 514, 3200, 3890, 16732, 328, 270, 280, 264, 585, 1775, 538, 2039, 263, 280, 267, 910, 272, 267, 910, 272, 13580, 5897, 258, 634, 5925, 4465, 1405, 960, 8259, 621, 781, 23564, 593, 23228, 2784, 1470, 269, 517, 31476, 258, 7926, 8520, 23228, 6112, 6936, 6769, 825, 1948, 29502, 589, 15920, 513, 1289, 547, 519, 1985, 2890, 4226, 538, 5311, 269, 476, 13242, 547, 14736, 1055, 1982, 1477, 825, 952, 7735, 19963, 9884, 553, 7272, 5962, 28399, 1038, 5925, 4732, 754, 6262, 718, 16182, 3418, 825, 1948, 29502, 645, 15920, 513, 1289, 856, 547, 782, 824, 8762, 1080, 547, 1769, 909, 23228, 825, 952, 7735, 10734, 9884, 553, 7272, 5962, 28399, 1038, 5925, 4732, 754, 16216, 854, 821, 6831, 6817, 3418, 825, 1948, 3367, 1022, 19670, 6835, 23228, 825, 19670, 815, 5925, 18622, 576, 633, 14052, 825, 952, 19670, 2652, 1250, 16182, 610, 19670, 2652, 3025, 6831, 6817, 6769, 1038, 19670, 815, 1412, 333, 5847, 262, 1477, 1038, 3207, 263, 12690, 27110, 263, 2004, 267, 476, 12573, 17903, 1038, 4159, 20481, 30044, 4148, 1662, 267, 8488, 284, 1911, 267, 7227, 25716, 3418, 1038, 3207, 263, 1911, 271, 3418, 1038, 5925, 4732, 754, 6262, 718, 16182, 10142, 0, 5976, 1930, 3488, 11907, 17902, 3299, 1412, 337, 10807, 607, 535, 912, 825, 538, 696, 815, 535, 18667, 14061, 20889, 28361, 333, 10807, 11468, 268, 272, 6540, 343, 815, 630, 514, 696, 314, 271, 4940, 8161, 3488, 347, 29125, 344, 815, 476, 271, 692, 323, 3925, 815, 1412, 323, 262, 1948, 1524, 454, 24393, 815, 32582, 1948, 20414, 519, 5022, 649, 1780, 998, 454, 9690, 19111, 815, 1412, 347, 7055, 25074, 815, 476, 271, 454, 6112, 1699, 19111, 11203, 1412, 1412, 912, 825, 3268, 6834, 476, 272, 454, 825, 952, 4287, 2652, 1412, 323, 9166, 1948, 13560, 454, 1038, 586, 6834, 476, 272, 454, 825, 8640, 4287, 2652, 1412, 340, 9166, 1948, 909, 454, 1038, 586, 20699, 476, 272, 454, 825, 8640, 4287, 2652, 1412, 331, 9166, 1948, 2451, 454, 1038, 1535, 20699, 476, 272, 454, 825, 8640, 4287, 2652, 1412, 337, 9166, 1948, 1318, 454, 1038, 1535, 6834, 476, 272, 454, 825, 1699, 19111, 815, 538, 696, 314, 344, 6012, 343, 2639, 825, 952, 1699, 19111, 2652, 1412, 266, 12466, 1038, 952, 4287, 538, 18011, 323, 3299, 1412, 340, 262, 2187, 2018, 952, 538, 696, 314, 344, 6012, 343, 268, 272, 316, 11203, 1412, 1412, 912, 3546, 4287, 815, 1412, 331, 7055, 2018, 3116, 912, 3546, 4287, 815, 1412, 337, 7055, 1038, 3116, 912, 2018, 952, 538, 696, 314, 344, 268, 272, 6012, 343, 316, 11203, 1412, 1412, 912, 3546, 4287, 815, 1412, 340, 7055, 2018, 3116, 912, 3546, 4287, 815, 1412, 323, 28847, 825, 8640, 1699, 19111, 711, 538, 18011, 347, 3299, 25023, 2187, 1038, 5022, 6910, 263, 9690, 19111, 2020, 2745, 3488, 8339, 21860, 263, 24393, 4917, 2745, 263, 25074, 994, 0, 5228, 28184, 5793, 1104, 2608, 21506, 24490, 815, 570, 330, 14052, 258, 5353, 1212, 534, 15255, 1696, 1172, 564, 553, 16948, 2512, 541, 1714, 1106, 592, 9222, 1477, 299, 8475, 9852, 2120, 267, 1257, 6889, 5575, 8745, 20257, 28186, 21405, 284, 271, 264, 21506, 299, 8475, 9852, 2120, 267, 1257, 6889, 8310, 8745, 20257, 28186, 21405, 284, 272, 10142, 258, 5715, 3821, 6446, 1965, 553, 4632, 1270, 328, 7967, 3824, 637, 334, 632, 1217, 30685, 1477, 324, 272, 815, 28678, 9852, 2120, 264, 21506, 324, 273, 815, 28678, 9852, 2120, 10142, 324, 272, 26942, 21405, 284, 271, 267, 6241, 284, 272, 264, 476, 1948, 303, 1069, 924, 561, 6352, 541, 679, 3288, 18451, 545, 30685, 632, 3288, 13767, 6767, 1642, 3689, 11243, 1477, 324, 273, 26942, 21405, 284, 272, 267, 6241, 284, 272, 264, 1948, 303, 1069, 924, 561, 6352, 541, 679, 3288, 18451, 545, 30685, 632, 3288, 13767, 6767, 1642, 7831, 11243, 5897, 10852, 31467, 263, 476, 3418, 0, 5228, 4351, 1104, 15932, 692, 5035, 6206, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 703, 19056, 267, 703, 19056, 273, 2187, 1038, 1582, 269, 328, 272, 815, 703, 19056, 454, 1038, 1582, 269, 328, 273, 815, 703, 19056, 273, 22562, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 328, 272, 2652, 824, 269, 328, 272, 543, 1582, 269, 328, 273, 2652, 824, 269, 328, 273, 692, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 1038, 2132, 1582, 269, 328, 272, 2608, 1582, 269, 328, 273, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 28219, 815, 15932, 4590, 825, 561, 529, 15481, 815, 476, 1724, 454, 825, 561, 529, 815, 1496, 271, 316, 2608, 561, 529, 15481, 454, 825, 585, 9041, 538, 2039, 263, 1911, 271, 2187, 1038, 1883, 815, 6206, 263, 273, 267, 28219, 27110, 263, 271, 267, 1911, 4917, 1038, 4994, 815, 19474, 31107, 264, 4939, 561, 529, 15481, 454, 1038, 561, 529, 27709, 316, 6834, 476, 272, 22562, 825, 1820, 263, 5894, 264, 0, 258, 2205, 22894, 3046, 320, 535, 10455, 597, 795, 5451, 330, 341, 19508, 32244, 541, 454, 3698, 3818, 5416, 14720, 17107, 825, 952, 513, 2999, 536, 912, 1038, 513, 14720, 815, 536, 28083, 22562, 825, 952, 536, 2652, 476, 271, 912, 1038, 2132, 476, 271, 454, 825, 8640, 513, 2652, 476, 271, 912, 1038, 2132, 476, 271, 454, 672, 692, 825, 2132, 513, 1341, 3818, 5416, 14720, 268, 272, 2020, 692, 2745, 9852, 738, 328, 263, 273, 267, 274, 4297, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 815, 7183, 267, 2451, 815, 7183, 267, 1318, 815, 7183, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 19638, 5035, 23030, 21698, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 825, 1219, 9041, 16647, 3634, 4671, 872, 23631, 2017, 4311, 267, 1377, 815, 476, 271, 2187, 1038, 1239, 23919, 815, 3403, 10797, 1038, 952, 1239, 23919, 2652, 1412, 12466, 2018, 2132, 7183, 692, 1038, 1377, 6834, 476, 272, 454, 1038, 1820, 263, 24038, 2608, 1412, 567, 1923, 262, 1341, 1412, 734, 4041, 10499, 267, 1377, 1412, 1341, 1193, 263, 24038, 11924, 1412, 281, 22207, 1439, 284, 1412, 30386, 1038, 2451, 17045, 815, 1582, 11519, 16647, 3634, 4671, 872, 23631, 2017, 263, 24038, 994, 1038, 1820, 263, 24038, 2608, 1412, 567, 1923, 262, 1341, 1412, 734, 305, 20846, 267, 1377, 1412, 1341, 1193, 263, 24038, 11924, 1412, 281, 22207, 1439, 284, 1412, 30386, 1038, 1318, 17045, 815, 1582, 11519, 16647, 3634, 4671, 872, 23631, 2017, 263, 24038, 2020, 1038, 2132, 19219, 16597, 23919, 267, 2451, 17045, 267, 1318, 17045, 2020, 825, 1219, 1402, 3634, 4671, 872, 4311, 2187, 1038, 1820, 3488, 4629, 5588, 2433, 3299, 1439, 815, 1412, 30386, 1038, 1582, 269, 10174, 815, 1582, 11519, 16647, 3634, 4671, 872, 23631, 2017, 4590, 672, 692, 825, 1219, 1820, 318, 2181, 4650, 23631, 2017, 4311, 267, 6843, 2187, 1038, 952, 6843, 2652, 7183, 912, 2018, 2132, 28329, 1038, 1820, 19304, 27316, 21606, 1070, 1439, 815, 262, 30386, 1038, 1582, 31428, 318, 2181, 4650, 23631, 2017, 27316, 16000, 994, 1038, 1582, 31428, 318, 2181, 4650, 23631, 2017, 27316, 16192, 994, 8931, 825, 1219, 1820, 318, 2181, 4650, 4311, 2187, 1038, 1582, 31428, 318, 2181, 4650, 23631, 2017, 4311, 269, 10174, 994, 1038, 1820, 3488, 5073, 8931, 825, 1219, 1293, 28767, 23631, 2017, 4311, 267, 1871, 267, 6843, 2187, 1038, 4831, 815, 476, 271, 692, 1038, 952, 6843, 2652, 7183, 912, 2018, 2132, 476, 271, 692, 1038, 8640, 6843, 21606, 2652, 1871, 912, 2018, 4831, 6834, 476, 272, 28329, 1038, 4831, 6834, 1582, 29644, 28767, 23631, 2017, 263, 7407, 267, 6843, 16000, 994, 1038, 4831, 6834, 1582, 29644, 28767, 23631, 2017, 263, 7407, 267, 6843, 16192, 2020, 1038, 2132, 4831, 22562, 825, 1219, 1293, 28767, 4311, 267, 1871, 2187, 1038, 2132, 1582, 29644, 28767, 23631, 2017, 263, 7407, 267, 1582, 269, 10174, 994, 672, 692, 825, 1219, 1689, 19056, 23631, 2017, 4311, 267, 1130, 318, 272, 267, 1130, 318, 273, 267, 6843, 2187, 1038, 952, 6843, 2652, 7183, 912, 2018, 2132, 454, 1038, 8640, 6843, 21606, 2652, 1130, 318, 272, 912, 2018, 6843, 21606, 815, 1130, 318, 273, 28329, 1038, 1582, 269, 4219, 19056, 23631, 2017, 263, 1998, 318, 272, 267, 1130, 318, 273, 267, 6843, 16000, 994, 1038, 1582, 269, 4219, 19056, 23631, 2017, 263, 1998, 318, 272, 267, 1130, 318, 273, 267, 6843, 16000, 994, 13872, 8931, 825, 1219, 1689, 19056, 4311, 267, 1130, 318, 272, 267, 1130, 318, 273, 2187, 1038, 2132, 1582, 269, 4219, 19056, 23631, 2017, 263, 1998, 318, 272, 267, 1130, 318, 273, 267, 1582, 269, 10174, 994, 672, 692, 258, 631, 27713, 21266, 571, 684, 454, 825, 1219, 1689, 5091, 5922, 23631, 2017, 4311, 267, 1871, 267, 6843, 2187, 1038, 952, 6843, 16000, 2652, 7183, 610, 6843, 16192, 2652, 7183, 912, 2018, 2132, 692, 1038, 8640, 6843, 16192, 21606, 2652, 1871, 912, 2018, 6843, 16192, 21606, 815, 6843, 21606, 28329, 1038, 3116, 912, 2018, 6843, 16000, 21606, 815, 6843, 21606, 28329, 1038, 1582, 269, 4219, 5091, 5922, 23631, 2017, 263, 7407, 267, 6843, 16000, 994, 1038, 1582, 269, 4219, 5091, 5922, 23631, 2017, 263, 7407, 267, 6843, 16192, 994, 8931, 258, 26366, 4673, 21266, 571, 684, 454, 825, 1219, 1689, 5091, 5922, 23631, 2017, 272, 4311, 267, 1871, 267, 6843, 267, 2385, 2187, 1038, 952, 6843, 2652, 7183, 912, 2018, 2132, 454, 1038, 952, 6843, 21606, 2652, 1871, 912, 2018, 952, 2385, 11203, 7183, 912, 3546, 10917, 815, 6843, 21606, 454, 3546, 6843, 21606, 815, 2385, 21606, 454, 3546, 2385, 21606, 815, 10917, 28329, 1038, 1582, 269, 4219, 5091, 5922, 23631, 2017, 272, 263, 7407, 267, 6843, 16000, 267, 6843, 994, 1038, 1582, 269, 4219, 5091, 5922, 23631, 2017, 272, 263, 7407, 267, 6843, 16192, 267, 6843, 994, 13872, 8931, 825, 1219, 1689, 5091, 5922, 4311, 267, 1871, 2187, 1038, 2132, 1582, 269, 4219, 5091, 5922, 23631, 2017, 272, 263, 7407, 267, 1582, 269, 10174, 267, 7183, 9239, 825, 1219, 1820, 18425, 4650, 23631, 2017, 4311, 267, 6843, 2187, 1038, 952, 6843, 2652, 7183, 912, 2018, 2132, 28329, 1038, 1582, 31428, 18425, 4650, 23631, 2017, 27316, 16000, 994, 1038, 1820, 19304, 27316, 21606, 1070, 1439, 815, 262, 30386, 1038, 1582, 31428, 18425, 4650, 23631, 2017, 27316, 16192, 994, 672, 692, 825, 1219, 1820, 18425, 4650, 4311, 2187, 1038, 1582, 31428, 18425, 4650, 23631, 2017, 4311, 269, 10174, 994, 1038, 1820, 3488, 5073, 672, 692, 825, 1219, 1820, 7272, 739, 4650, 23631, 2017, 4311, 267, 6843, 2187, 1038, 952, 6843, 2652, 7183, 912, 2018, 2132, 28329, 1038, 1582, 31428, 7272, 739, 4650, 23631, 2017, 27316, 16000, 994, 1038, 1582, 31428, 7272, 739, 4650, 23631, 2017, 27316, 16192, 994, 1038, 1820, 19304, 27316, 21606, 1070, 1439 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1995, 540, 9082, 540, 3979, 16350, 538, 519, 2136, 2276, 1310, 519, 6406, 2782, 269, 25608, 267, 834, 297, 574, 18844, 257, 17478, 267, 834, 6124, 27740, 257, 11873, 267, 12019, 2782, 267, 6406, 7126, 11873, 267, 543, 519, 834, 15124, 5980, 257, 616, 519, 1292, 5396, 9619, 538, 713, 1362, 563, 1103, 14335, 713, 1576, 267, 519, 6284, 540, 18724, 8864, 270, 14937, 1145, 568, 711, 9003, 513, 5114, 776, 3210, 547, 2591, 689, 7606, 540, 2681, 282, 621, 568, 849, 513, 8086, 540, 519, 991, 547, 1683, 513, 2239, 540, 18724, 8864, 270, 14937, 1145, 602, 30242, 606, 1620, 540, 519, 10206, 540, 18724, 8864, 270, 14937, 1145, 607, 513, 7292, 7121, 543, 519, 6286, 540, 713, 11008, 1436, 543, 7681, 269, 1280, 1383, 267, 20803, 18724, 8864, 19774, 621, 689, 519, 796, 5658, 539, 267, 543, 796, 24887, 4567, 602, 568, 3294, 606, 1198, 540, 17282, 269, 10738, 519, 1880, 10459, 540, 28668, 543, 23532, 5525, 267, 18724, 8864, 267, 4563, 1145, 543, 17813, 723, 2097, 547, 581, 7118, 652, 5396, 540, 1353, 269, 9861, 6519, 610, 4563, 538, 519, 476, 2641, 560, 11416, 267, 2705, 267, 568, 2484, 689, 3551, 269, 898, 568, 678, 1342, 1194, 609, 13509, 543, 6825, 676, 513, 2489, 2631, 540, 7292, 2587, 560, 607, 547, 1018, 621, 1797, 547, 581, 6519, 610, 4563, 269, 901, 1576, 786, 3801, 547, 4431, 547, 519, 2243, 281, 1548, 1281, 621, 1611, 547, 581, 4563, 270, 19669, 538, 938, 2518, 2916, 286, 0, 1103, 713, 2376, 454, 6097, 547, 519, 2817, 4659, 593, 15850, 18816, 543, 15850, 1143, 267, 4568, 10301, 707, 18072, 1310, 519, 1101, 521, 760, 269, 15850, 779, 2360, 2253, 547, 1305, 538, 1369, 827, 476, 1015, 3764, 563, 4913, 267, 4568, 779, 2360, 786, 4268, 4470, 593, 707, 645, 3722, 610, 1973, 4568, 1377, 270, 935, 1417, 1674, 269, 901, 4137, 4564, 519, 7274, 540, 4568, 538, 707, 18072, 269, 634, 811, 707, 645, 3722, 14380, 267, 519, 811, 4568, 786, 1764, 707, 5042, 543, 2168, 19206, 563, 1692, 3533, 596, 4235, 786, 3310, 519, 942, 621, 3217, 585, 1978, 2360, 547, 2049, 269, 1280, 1383, 267, 952, 596, 7119, 538, 28675, 6704, 267, 799, 568, 912, 2791, 666, 1995, 513, 6626, 2039, 540, 2360, 3361, 676, 7050, 4568, 4616, 538, 513, 10156, 942, 563, 10303, 6704, 4568, 1223, 10460, 513, 1981, 547, 707, 1072, 267, 3782, 4648, 4363, 17712, 8724, 689, 4616, 610, 2348, 23931, 16098, 538, 20208, 563, 6097, 547, 4808, 3964, 538, 519, 2136, 2276, 267, 513, 3044, 4235, 786, 711, 723, 811, 982, 476, 271, 269, 277, 13728, 630, 1691, 269, 271, 10101, 610, 476, 272, 269, 273, 26486, 264, 540, 6986, 4568, 563, 3383, 267, 596, 666, 1732, 1174, 875, 1454, 4568, 602, 568, 538, 2489, 267, 596, 666, 946, 519, 1739, 4235, 7403, 547, 5635, 912, 7021, 476, 274, 2929, 1004, 946, 14568, 20055, 269, 4256, 2533, 616, 912, 12585, 513, 1906, 2055, 547, 1205, 3323, 454, 2791, 616, 5227, 547, 4235, 593, 513, 2407, 7181, 1317, 1426, 2337, 3500, 519, 4568, 10338, 2557, 538, 519, 7181, 543, 1507, 16892, 269, 15850, 5956, 547, 723, 2360, 593, 519, 1560, 1369, 5111, 476, 1015, 3764, 563, 4913, 267, 621, 568, 1271, 547, 3314, 602, 4189, 1426, 1354, 10438, 4568, 786, 711, 2061, 519, 20892, 689, 8757, 519, 18072, 563, 2252, 596, 6430, 547, 4235, 593, 606, 8900, 7181, 267, 4568, 666, 4283, 519, 18072, 811, 3533, 543, 6318, 707, 645, 3722, 1377, 269, 1403, 707, 645, 3722, 4679, 267, 596, 666, 1995, 1114, 2360, 540, 4568, 267, 971, 607, 4633, 15717, 610, 11558, 2042, 563, 2704, 4022, 3217, 5111, 476, 276, 3764, 547, 3914, 519, 2634, 267, 4352, 519, 20892, 779, 2360, 2049, 1472, 476, 1015, 3764, 563, 2691, 707, 645, 3722, 4679, 267, 4568, 5956, 547, 1860, 519, 2634, 543, 8401, 1062, 269, 901, 1797, 596, 666, 1995, 2242, 538, 10385, 543, 3375, 6194, 7207, 543, 1831, 811, 796, 514, 3031, 1243, 563, 4263, 519, 1482, 942, 267, 1317, 4568, 5222, 2281, 538, 519, 8401, 1062, 267, 596, 666, 1745, 1769, 20243, 1145, 267, 14887, 5114, 2053, 267, 543, 16283, 11558, 1983, 563, 1607, 1592, 6257, 811, 2360, 3361, 676, 4568, 593, 519, 2634, 543, 8401, 1062, 269, 1306, 596, 3580, 1294, 267, 4568, 779, 2360, 666, 2039, 689, 7646, 547, 9793, 267, 4470, 593, 875, 1454, 543, 875, 3533, 596, 4235, 912, 1103, 811, 4049, 2665, 267, 952, 707, 645, 3722, 10301, 476, 271, 269, 1789, 267, 596, 2196, 519, 1981, 540, 635, 320, 610, 2634, 3441, 269, 901, 4386, 1317, 4568, 25815, 7244, 543, 10009, 267, 7303, 5135, 689, 8757, 519, 2634, 563, 2252, 707, 645, 3722, 4422, 936, 476, 271, 269, 3374, 267, 596, 1223, 5884, 689, 4568, 883, 343, 1709, 630, 17763, 2581, 532, 264, 610, 676, 519, 2634, 779, 17418, 547, 10038, 782, 540, 707, 4105, 2168, 3252, 563, 763, 2360, 540, 4568, 786, 581, 1114, 2687, 547, 707, 645, 3722, 2157, 563, 2252, 596, 723, 513, 645, 3722, 1063, 476, 271, 269, 4905, 268, 271, 269, 6734, 267, 596, 1522, 1745, 513, 3787, 811, 552, 25045, 7595, 630, 528, 6126, 1040, 1411, 949, 1256, 8774, 7409, 1431, 269, 901, 568, 519, 9803, 22905, 1377, 540, 4568, 538, 707, 18072, 563, 4913, 267, 519, 4743, 786, 711, 2063, 269, 1306, 519, 645, 3722, 1377, 4679, 267, 4568, 779, 2360, 1831, 811, 7920, 269, 2060, 513, 645, 3722, 1063, 476, 271, 269, 1626, 268, 271, 269, 736, 267, 596, 949, 1995, 7988, 874, 7595, 630, 12584, 15384, 30829, 264, 17915, 543, 15353, 269, 1411, 949, 581, 771, 528, 14314, 267, 1793, 584, 2590, 707, 1913, 543, 9561, 707, 3666, 563, 2467, 949, 1256, 2097, 519, 1448, 1141, 707, 645, 3722, 568, 865, 1164, 602, 596, 616, 15508, 11821, 543, 991, 948, 6972, 269, 634, 2360, 540, 4568, 786, 711, 581, 16990, 543, 666, 6318, 519, 1981, 540, 1072, 8374, 563, 3519, 14287, 267, 930, 1004, 1995, 811, 552, 25045, 7595, 4606, 540, 12257, 607, 741, 645, 3722, 14380, 267, 799, 568, 1946, 789, 3136, 547, 4235, 563, 16449, 4079, 9907, 476, 736, 547, 476, 5038, 1296, 267, 7050, 6704, 729, 519, 2014, 540, 476, 272, 538, 476, 1015, 7972, 563, 763, 8653, 540, 4568, 779, 2360, 593, 519, 1560, 786, 4096, 593, 707, 1973, 4568, 5834, 630, 289, 3722, 1040, 1403, 596, 3314, 267, 645, 3722, 4564, 519, 3432, 676, 799, 707, 1560, 25309, 267, 2733, 2373, 267, 8311, 3278, 267, 543, 23352, 519, 20892, 563, 763, 6797, 267, 950, 8647, 7363, 267, 666, 1152, 8311, 1125, 835, 3044, 4235, 829, 5662, 269, 901, 1797, 602, 952, 596, 8532, 811, 982, 835, 3044, 4235, 1369, 606, 5662, 267, 596, 2333, 707, 645, 3722, 1377, 267, 543, 707, 6797, 2115, 811, 942, 547, 2736, 1524, 519, 4568, 563, 2690, 1383, 267, 952, 596, 723, 513, 645, 3722, 540, 476, 271, 269, 5400, 630, 1492, 3656, 6704, 3970, 1070, 707, 1560, 786, 1491, 5111, 476, 276, 269, 276, 3108, 547, 9004, 519, 4568, 269, 5221, 4568, 3788, 1459, 538, 707, 1062, 267, 621, 666, 1869, 723, 2360, 593, 519, 1560, 563, 2691, 596, 723, 4057, 6797, 1599, 267, 596, 949, 711, 581, 2111, 547, 8311, 1125, 4568, 607, 6385, 269, 4746, 267, 950, 596, 723, 606, 4568, 13204, 4088, 848, 10638, 267, 596, 8311, 1125, 4568, 1256, 14887, 563, 5591, 269, 1411, 3112, 968, 338, 2748, 1055, 892, 4568, 563, 2691, 596, 3247, 6704, 4568, 610, 616, 17499, 4882, 2748, 532, 267, 621, 1281, 711, 1611, 602, 707, 645, 3722, 786, 3251, 11931, 610, 1256, 979, 1524, 269, 634, 1560, 786, 3136, 15603, 4568, 4283, 519, 18072, 269, 1403, 596, 723, 23931, 16098, 538, 707, 7181, 270, 842, 652, 1149, 267, 621, 786, 3136, 547, 10110, 543, 2333, 707, 4568, 1377, 607, 596, 3207, 269, 5221, 4568, 6933, 919, 2429, 267, 707, 645, 3722, 1377, 666, 4473, 543, 2014, 2800, 547, 707, 1072, 563, 3519, 14287, 267, 952, 596, 723, 2907, 12842, 519, 4568, 538, 707, 7181, 270, 842, 652, 1149, 267, 707, 1560, 786, 3136, 547, 2736, 1524, 270, 5471, 21966, 1125, 519, 4568, 607, 596, 3207, 563, 7312, 1560, 2115, 942, 267, 543, 1152, 602, 267, 547, 9004, 4568, 689, 922, 1062, 563, 763, 7274, 540, 4568, 10057, 786, 3310, 707, 645, 3722, 1377, 543, 267, 13604, 267, 519, 6219, 779, 2360, 593, 519, 1560, 563, 763, 6797, 3112, 8311, 1125, 811, 982, 835, 3044, 4235, 538, 606, 5662, 269, 1403, 596, 723, 811, 982, 602, 2179, 1369, 519, 1482, 942, 7406, 267, 707, 645, 3722, 1377, 786, 4473, 267, 607, 1134, 607, 519, 2360, 3361, 676, 4568, 563, 2704, 4022, 4616, 5222, 15629, 3252, 543, 7506, 875, 596, 13789, 610, 957, 269, 1717, 267, 952, 596, 4235, 4568, 593, 513, 811, 7928, 4493, 267, 1775, 4318, 269, 5312, 6704, 267, 596, 666, 1020, 10892, 547, 930, 540, 4568, 779, 2360, 563, 2252, 596, 723, 1831, 27031, 547, 4568, 267, 10438, 513, 3586, 2179, 540, 621, 814, 513, 14758, 1198, 269, 1411, 3580, 991, 811, 4568, 547, 1995, 519, 1482, 1198, 563, 2252, 596, 4235, 4568, 267, 596, 1058, 798, 865, 950, 596, 4076, 13881, 930, 1426, 5063, 269, 11109, 6980, 267, 2523, 1346, 1164, 538, 3940, 267, 666, 3500, 519, 2557, 540, 4568, 602, 13788, 519, 18072, 269, 898, 666, 849, 948, 2061, 519, 6797, 689, 4742, 16397, 1813, 547, 4568, 10307, 563, 288, 2539, 645, 3722, 267, 1256, 17303, 267, 1223, 1611, 1447, 4049, 2360, 3361, 676, 519, 6219, 563, 12234, 267, 952, 596, 723, 3987, 267, 6704, 4568, 593, 606, 8900, 7181, 4679, 707, 1981, 540, 31202, 20945, 630, 869, 1973, 4006, 2157, 1040, 1403, 2451, 15860, 267, 31202, 20945, 666, 2014, 635, 320, 543, 1267, 538, 2669, 563, 7312, 1560, 2597, 666, 3313, 519, 7274, 540, 2230, 676, 799, 4568, 886, 4926, 269, 1280, 3236, 267, 513, 1268, 945, 22179, 476, 9873, 6550, 666, 723, 1079, 581, 619, 543, 513, 2539, 645, 3722, 982, 1776, 1268, 945, 10425, 519, 1482, 7274, 855, 22179, 1447, 563, 2252, 596, 723, 513, 1164, 4887, 2527, 267, 707, 1560, 666, 10110, 543, 8311, 1125, 4568, 811, 3927, 982, 513, 1268, 609, 606, 11506, 1560, 3170, 6871, 269, 901, 786, 948, 3565, 547, 513, 2539, 645, 3722, 543, 267, 607, 513, 1267, 267, 14758, 2360, 1813, 547, 4568, 4616, 563, 293, 655, 2297, 786, 723, 2362, 645, 3722, 2157, 538, 1447, 942, 982, 9038, 1813, 547, 6211, 3604, 912, 2005, 568, 1271, 547, 2161, 602, 1152, 513, 1906, 2090, 723, 12290, 519, 1909, 540, 8951, 685, 18492, 9979, 593, 741, 8965, 3210, 547, 4568, 538, 6417, 8047, 2175, 563, 21953, 267, 930, 4681, 723, 1044, 4080, 269, 1280, 1383, 267, 4568, 1522, 3986, 930, 540, 519, 7988, 874, 7595, 630, 2317, 848, 610, 27025, 8351, 264, 17915, 1282, 519, 4783, 779, 561, 1393, 531, 5123, 630, 18431, 5123, 1916, 4002, 519, 824, 1688, 267, 5712, 666, 2333, 519, 10171, 540, 18024, 269, 5221, 4568, 267, 1932, 267, 5012, 547, 18024, 267, 519, 2360, 3361, 676, 519, 6219, 666, 581, 6793, 563, 7312, 1560, 3157, 4568, 538, 519, 6797, 269, 1717, 267, 707, 6797, 1223, 581, 3743, 585, 8840, 1524, 824, 6527, 267, 552, 3052, 1421, 19264, 1329, 630, 320, 1826, 540, 3075, 547, 1521, 20026, 1916, 2252, 596, 1491, 6527, 610, 5061, 1247, 6704, 4568, 267, 596, 2196, 519, 1981, 540, 29083, 2427, 2360, 610, 11566, 519, 646, 31154, 1418, 563, 9827, 267, 4587, 610, 3181, 4106, 730, 1004, 723, 606, 2799, 1981, 540, 3978, 4568, 2173, 539, 1709, 4205, 269, 1879, 596, 1205, 4587, 267, 519, 1560, 3112, 1184, 2901, 540, 519, 6878, 607, 3927, 269, 1403, 1312, 6878, 616, 1459, 538, 519, 1560, 585, 513, 3476, 942, 267, 519, 10171, 540, 4205, 14380, 267, 543, 609, 602, 267, 519, 7872, 540, 2942, 1072, 4539, 563, 21296, 2090, 723, 3254, 602, 513, 3056, 3815, 12018, 513, 1268, 779, 3210, 547, 4568, 267, 2523, 538, 9038, 267, 568, 513, 1920, 1686, 540, 29015, 563, 5415, 4481, 267, 9038, 609, 513, 1101, 24266, 1920, 1686, 540, 29015, 941, 4080, 547, 581, 1447, 6213, 547, 930, 8965, 2360, 3361, 676, 4568, 563, 9827, 267, 4470, 593, 707, 6090, 267, 707, 2557, 540, 4568, 10307, 949, 4268, 269, 2368, 1004, 540, 7489, 16350, 723, 513, 5444, 14583, 602, 7506, 875, 3728, 789, 666, 2736, 1524, 4568, 543, 3123, 2589, 899, 1166, 5241, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14943, 846, 10098, 267, 623, 1421, 30954, 1132, 267, 623, 1421, 16114, 657, 267, 681, 2529, 1421, 8125, 9366, 267, 700, 1421, 966, 773, 4275, 267, 623, 269, 1299, 966, 773, 4275, 267, 966, 269, 630, 32295, 4700, 630, 1001, 271, 1040, 589, 1592, 540, 519, 18714, 543, 7286, 1979, 7974, 689, 519, 10897, 2803, 269, 10988, 6403, 335, 807, 267, 744, 324, 597, 553, 267, 476, 28242, 6032, 563, 268, 25362, 344, 985, 267, 654, 12171, 12282, 8160, 1421, 630, 3192, 272, 1040, 12197, 3391, 540, 16385, 543, 23522, 269, 24545, 281, 14539, 7577, 570, 832, 563, 268, 6970, 10722, 27885, 267, 589, 269, 543, 32371, 1301, 514, 15676, 267, 681, 269, 476, 1220, 271, 269, 634, 27040, 1325, 4011, 534, 7256, 267, 606, 1271, 9960, 543, 8023, 2666, 585, 519, 1279, 1922, 514, 2740, 12681, 17962, 630, 10908, 11131, 32397, 8403, 5283, 553, 264, 538, 519, 11335, 7256, 269, 13149, 26495, 531, 3163, 476, 1626, 263, 274, 2567, 476, 276, 1724, 268, 276, 3066, 563, 268, 2961, 1189, 710, 267, 631, 269, 630, 1960, 276, 264, 1733, 2297, 267, 667, 20462, 1231, 543, 28769, 17763, 2478, 269, 16910, 1782, 9877, 619, 2917, 267, 5507, 563, 268, 2961, 1189, 710, 267, 631, 1421, 670, 1195, 339, 267, 661, 1421, 16110, 344, 576, 267, 681, 9950, 269, 543, 28711, 267, 623, 269, 630, 1960, 279, 264, 1733, 2297, 543, 667, 20462, 1231, 267, 634, 31597, 6651, 547, 13149, 26495, 1023, 269, 22489, 19811, 23255, 267, 5507, 563, 268, 595, 564, 25445, 3820, 269, 630, 18907, 267, 476, 1220, 273, 994, 268, 2441, 27255, 267, 594, 269, 476, 3192, 276, 269, 2776, 14083, 1867, 593, 519, 21785, 13278, 344, 585, 1507, 16385, 281, 7269, 540, 21785, 627, 2718, 547, 11848, 543, 22070, 9533, 7297, 267, 543, 21785, 13753, 540, 519, 7350, 540, 1507, 16385, 269, 4750, 540, 519, 30656, 3194, 8274, 540, 4516, 476, 3953, 281, 476, 10482, 274, 268, 11820, 275, 563, 268, 7027, 540, 2342, 281, 12672, 13482, 630, 19751, 267, 476, 1220, 273, 994, 268, 30532, 267, 570, 269, 631, 1421, 681, 10402, 267, 570, 269, 808, 1421, 3367, 267, 589, 269, 808, 1421, 966, 657, 267, 661, 1421, 645, 1515, 323, 267, 681, 269, 654, 1421, 7195, 18474, 267, 918, 1421, 4446, 869, 267, 808, 1421, 2836, 323, 6202, 267, 808, 1421, 595, 3757, 5112, 267, 570, 1421, 595, 5300, 267, 700, 1421, 667, 262, 8649, 4815, 267, 589, 1421, 667, 24202, 335, 664, 267, 589, 1421, 22513, 5451, 526, 14162, 267, 808, 1421, 5685, 1676, 534, 267, 808, 1421, 717, 18782, 267, 681, 1421, 15168, 628, 267, 654, 1421, 717, 592, 1633, 267, 674, 1421, 670, 32499, 25912, 267, 808, 1421, 670, 748, 518, 267, 667, 1421, 670, 1638, 541, 267, 570, 1421, 808, 788, 5459, 267, 623, 269, 667, 1421, 31509, 1084, 267, 667, 1421, 5839, 548, 617, 267, 595, 269, 667, 1421, 16019, 267, 623, 1421, 18703, 267, 590, 1421, 13738, 267, 667, 1421, 623, 1779, 320, 267, 667, 1421, 623, 784, 534, 529, 267, 623, 1421, 681, 2174, 601, 267, 590, 1421, 18007, 956, 267, 570, 1421, 13177, 267, 645, 1421, 14977, 871, 267, 623, 1421, 654, 691, 345, 758, 267, 667, 1421, 717, 529, 10719, 267, 681, 1421, 28927, 267, 808, 269, 543, 5484, 1676, 267, 700, 269, 476, 1220, 277, 269, 4197, 519, 5222, 540, 27643, 3280, 593, 581, 8898, 16385, 269, 4750, 540, 595, 564, 864, 534, 3194, 543, 5004, 476, 278, 263, 274, 2567, 476, 10082, 268, 6942, 563, 268, 26943, 1731, 267, 645, 269, 631, 269, 476, 1220, 275, 269, 5623, 540, 1507, 524, 564, 30702, 281, 17392, 267, 7180, 267, 9194, 543, 6937, 269, 13149, 26495, 531, 11059, 4643, 270, 8802, 1308, 1530, 553, 18614, 543, 5525, 476, 10082, 281, 476, 29340, 6032, 563, 268, 667, 1446, 321, 719, 267, 631, 269, 700, 269, 476, 1220, 273, 269, 15661, 3961, 267, 4719, 4763, 267, 543, 7636, 9836, 3347, 1851, 519, 2098, 760, 6062, 13160, 630, 2041, 8898, 16385, 1040, 19080, 267, 2160, 540, 589, 3089, 1633, 563, 268, 667, 1446, 321, 719, 267, 631, 269, 700, 1421, 22859, 3960, 14397, 267, 667, 269, 661, 1421, 6519, 3650, 267, 670, 269, 543, 744, 1329, 267, 715, 269, 594, 269, 476, 1220, 277, 269, 17437, 543, 24197, 12508, 7866, 3982, 4369, 540, 513, 1507, 2551, 540, 4420, 6352, 846, 17962, 630, 29730, 797, 517, 18041, 1638, 9850, 264, 538, 519, 7262, 3345, 9533, 269, 17449, 17905, 476, 1428, 281, 476, 25313, 276, 268, 24374, 280, 563, 268, 26744, 7219, 267, 631, 269, 4864, 476, 736, 267, 1960, 279, 269, 834, 301, 13960, 32108, 2249, 693, 1981, 609, 4013, 2910, 10345, 310, 2975, 4567, 257, 630, 4002, 11060, 1040, 21700, 5239, 476, 1724, 267, 1960, 280, 454, 268, 27213, 267, 623, 269, 476, 2735, 278, 269, 1733, 2297, 1299, 667, 20462, 1231, 269, 1715, 3840, 267, 1715, 3840, 281, 12700, 593, 11711, 23549, 563, 268, 1280, 3122, 267, 476, 10082, 271, 269, 769, 17833, 332, 267, 3004, 12069, 883, 3345, 3013, 267, 476, 272, 281, 1240, 563, 268, 717, 578, 753, 267, 590, 269, 476, 1220, 273, 269, 645, 2714, 6352, 846, 16385, 15214, 797, 517, 18041, 1638, 9850, 543, 1547, 769, 281, 654, 269, 674, 269, 3131, 12541, 267, 645, 269, 654, 2720, 580, 267, 808, 269, 717, 269, 631, 269, 634, 342, 1170, 523, 630, 539, 13776, 15610, 540, 13149, 26495, 1023, 267, 6032, 269, 476, 12553, 268, 15782, 269, 14288, 4964, 267, 5842, 17630, 267, 7330, 563, 268, 2871, 597, 344, 267, 631, 6185, 269, 1299, 2871, 597, 344, 267, 717, 8160, 269, 630, 1001, 272, 1040, 15661, 269, 773, 4528, 476, 272, 269, 271, 2622, 17253, 5907, 8313, 267, 2817, 2160, 540, 8581, 267, 8895, 3118, 630, 11437, 540, 476, 1428, 4728, 476, 1001, 271, 1916, 268, 717, 18365, 331, 13774, 26856, 267, 570, 269, 543, 590, 580, 584, 329, 976, 5459, 267, 808, 269, 476, 1960, 271, 269, 589, 4063, 593, 519, 1966, 540, 7301, 1064, 14476, 538, 519, 946, 2067, 16287, 1239, 585, 11606, 16759, 269, 18614, 540, 519, 4139, 1733, 2718, 8189, 476, 1321, 281, 476, 16960, 268, 13970, 563, 268, 26858, 267, 590, 1421, 667, 269, 21563, 6577, 269, 476, 2735, 279, 269, 1733, 2297, 267, 667, 20462, 1231, 543, 28769, 17763, 2478, 269, 1715, 3840, 267, 1715, 3840, 281, 12700, 593, 11711, 23549, 563, 268, 670, 9007, 267, 700, 269, 476, 2735, 271, 269, 595, 564, 864, 534, 10263, 281, 31469, 543, 12793, 269, 5689, 629, 541, 267, 8419, 281, 7917, 661, 269, 918, 686, 1122, 518, 14539, 7577, 563, 268, 670, 809, 518, 267, 590, 1421, 681, 269, 645, 1515, 323, 269, 476, 1960, 280, 269, 12213, 1673, 1516, 7180, 540, 7187, 4420, 6352, 846, 16385, 267, 15214, 797, 517, 18041, 1638, 9850, 630, 290, 564, 25445, 281, 2098, 760, 6062, 13160, 1040, 18619, 540, 519, 9576, 5980, 267, 5507, 269, 645, 1421, 476, 29214, 281, 476, 6858, 272, 268, 6858, 277, 563, 268, 670, 809, 518, 267, 590, 269, 918, 1421, 645, 1515, 323, 267, 681, 269, 654, 1421, 1325, 14114, 332, 926, 267, 590, 1421, 717, 578, 753, 267, 590, 269, 543, 6519, 3650, 267, 670, 269, 476, 1220, 272, 269, 19884, 6547, 540, 7187, 4420, 6352, 846, 16385, 630, 29730, 797, 517, 18041, 1638, 9850, 264, 547, 23707, 546, 691, 532, 543, 11090, 13613, 5773, 269, 17384, 344, 28743, 476, 4200, 281, 476, 24062, 268, 28143, 563, 268, 670, 809, 518, 267, 590, 269, 918, 1421, 6519, 3650, 267, 670, 269, 543, 717, 578, 753, 267, 590, 269, 476, 1960, 280, 269, 13149, 6870, 1858, 1374, 543, 519, 8901, 543, 13796, 3892, 540, 524, 564, 30702, 538, 513, 26747, 666, 27267, 269, 11094, 10334, 476, 1724, 281, 476, 30020, 268, 2568, 273, 563, 268, 1215, 5459, 267, 595, 8160, 269, 1299, 11625, 517, 267, 645, 9950, 269, 630, 539, 13776, 630, 1960, 278, 1040, 634, 2249, 15682, 540, 519, 7286, 21426, 543, 18508, 540, 519, 3703, 1772, 956, 543, 4478, 15798, 269, 645, 1409, 770, 281, 21853, 3122, 7467, 269, 1496, 308, 331, 3122, 7467, 8313, 267, 1100, 269, 476, 28510, 24358, 268, 4139, 1733, 2718, 8189, 630, 19751, 267, 476, 1220, 273, 994, 268, 594, 30002, 630, 1220, 279, 264, 595, 564, 864, 534, 9337, 540, 519, 476, 1220, 279, 594, 30002, 4414, 5903, 540, 21784, 2989, 15661, 563, 268, 3967, 670, 6130, 1562, 454, 268, 16962, 267, 570, 269, 589, 1421, 2274, 1430, 6229, 267, 590, 269, 543, 5680, 828, 267, 631, 269, 589, 269, 476, 1960, 274, 269, 13149, 26495, 1023, 540, 519, 2622, 281, 14174, 302, 15661, 22384, 6651, 269, 2136, 13780, 5113, 19510, 543, 5253, 543, 16581, 9257, 540, 519, 6167, 563, 268, 16962, 267, 570, 6993, 1421, 2274, 1430, 6229, 267, 590, 269, 1299, 5680, 828, 267, 631, 6993, 1421, 630, 1960, 275, 1040, 14174, 302, 2249, 8446, 3391, 269, 13149, 11864, 540, 519, 1158, 269, 7507, 281, 2136, 8315, 5113, 19510, 267, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 563, 268, 20943, 2763, 267, 595, 269, 595, 1421, 630, 1220, 273, 1040, 7353, 4919, 6651, 547, 519, 13149, 26495, 1023, 540, 519, 3345, 9533, 269, 10228, 281, 10228, 2160, 4964, 563, 268, 918, 4802, 3298, 6390, 267, 631, 269, 476, 1960, 272, 269, 667, 20462, 1231, 267, 28769, 17763, 2478, 543, 1733, 2297, 540, 519, 2622, 269, 594, 30002, 267, 717, 1633, 267, 16848, 563, 268, 3231, 24629, 267, 808, 269, 589, 1421, 5839, 548, 617, 267, 595, 269, 667, 1421, 16114, 657, 267, 631, 269, 645, 1421, 623, 15127, 267, 717, 269, 808, 1421, 595, 4459, 267, 670, 269, 1627, 269, 623, 269, 543, 20484, 267, 681, 269, 589, 269, 476, 1220, 277, 269, 15783, 2360, 540, 2916, 1689, 593, 7286, 11864, 269, 7909, 2762, 543, 13149, 10334, 281, 1323, 16316, 5623, 476, 4510, 281, 476, 32542, 268, 275, 5038, 563, 268, 31701, 14423, 19475, 281, 5020, 1975, 753, 540, 26495, 1023, 267, 20002, 267, 2549, 874, 756, 2103, 267, 1234, 696, 3796, 267, 543, 12551, 630, 15697, 2707, 994, 268, 32212, 2562, 630, 1001, 272, 1040, 5177, 24920, 540, 7286, 2249, 6508, 689, 519, 3156, 13149, 5589, 4650, 543, 6167, 2975, 3036, 301, 267, 4528, 476, 272, 269, 271, 563, 268, 5839, 291, 10735, 267, 667, 269, 476, 2735, 278, 269, 634, 15610, 540, 26495, 1023, 269, 1715, 3840, 267, 1715, 3840, 281, 12700, 593, 11711, 23549, 563, 268, 5839, 323, 10735, 267, 667, 15030, 269, 630, 1220, 272, 264, 634, 1715, 15610, 540, 26495, 1023, 269, 10228, 2160, 4964, 267, 10228, 563, 268, 28927, 267, 808, 269, 717, 269, 476, 2735, 280, 269, 645, 2714, 6352, 846, 16385, 15214, 797, 517, 18041, 1638, 9850, 267, 270, 328, 285, 630, 2690, 3122, 267, 476, 10082, 271, 264, 543, 15214, 797, 517, 1544, 604, 6425, 27003, 267, 476, 6642, 273, 269, 769, 281, 590, 269, 670, 269, 681, 573, 326, 3118, 543, 681, 269, 26858, 630, 2644, 1070, 18361, 540, 7286, 11864, 267, 5292, 269, 476, 275, 281, 5211, 23522, 543, 519, 3677, 547, 582, 1117, 16385, 267, 6032, 269, 476, 25834, 268, 4097, 279, 269, 14288, 4964, 563, 268, 28927, 267, 6276, 717, 1421, 543, 7917, 700, 269, 9466, 749, 267, 12789, 269, 1315, 14355, 267, 5213, 661, 1421, 543, 1546, 324, 25486, 631, 269, 1234, 25005, 267, 32308, 269, 476, 1220, 276, 269, 11352, 595, 564, 25445, 269, 26495, 531, 15661, 540, 519, 2622, 281, 589, 12525, 21978, 543, 22127, 13129, 267, 476, 274, 6113, 1196, 1421, 2019, 269, 476, 272, 269, 476, 278, 2537, 268, 278, 6246, 454, 268, 3687, 22057, 267, 590, 1421, 918, 269, 7195, 18474, 267, 700, 269, 23340, 269, 476, 2735, 275, 269, 634, 2622, 781, 1733, 2297, 269, 6115, 267, 667, 5861, 12727, 28834, 7734, 563, 268, 27508, 267, 661, 269, 667, 269, 476, 3192, 278, 269, 15845, 602, 519, 7187, 4420, 6352, 846, 17962, 568, 30701, 269, 18614, 540, 519, 4139, 1733, 2718, 8189, 476, 2767, 281, 476, 4198, 268, 1001, 563, 268, 715, 8042, 630, 13233, 26085, 8416, 1070, 630, 1220, 273, 1040, 2817, 26085, 8416, 24891, 563, 268, 3345, 9533, 13149, 26495, 531, 8189, 269, 476, 1960, 276, 269, 7797, 540, 519, 1101, 5870, 540, 519, 11660, 9730, 269, 3345, 9533, 13149, 26495, 531, 8189, 267, 570, 668, 338, 21417, 267, 16157, 563, 268, 3345, 8862, 652, 9533, 7909, 2249, 630, 301, 310, 2752, 5960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5842, 1993, 328, 590, 6993, 563, 17471, 19316, 2011, 2126, 3937, 2344, 568, 15810, 547, 3914, 20430, 476, 279, 269, 6795, 5479, 676, 476, 1708, 271, 267, 607, 829, 513, 1007, 1382, 1867, 676, 7101, 5050, 29362, 267, 5549, 269, 19663, 6388, 540, 713, 3937, 538, 1585, 2872, 9922, 971, 607, 3782, 1299, 7966, 864, 5649, 2859, 1862, 19751, 476, 1789, 267, 476, 1001, 276, 454, 17471, 23825, 15229, 2344, 2450, 568, 2693, 547, 581, 12595, 693, 20430, 476, 1724, 269, 4366, 5479, 676, 476, 1708, 271, 282, 607, 829, 513, 1007, 1382, 1867, 676, 7101, 5050, 29362, 267, 5549, 269, 19663, 3498, 9165, 540, 17426, 2326, 538, 23825, 2872, 568, 2693, 547, 5397, 2344, 1332, 339, 5649, 2859, 1862, 19751, 476, 2537, 267, 476, 1001, 276, 454, 17471, 3002, 4483, 12862, 2344, 2450, 568, 2693, 547, 581, 12595, 693, 20430, 476, 274, 269, 278, 5479, 676, 476, 1708, 271, 282, 607, 829, 513, 1007, 1382, 1867, 676, 7101, 5050, 29362, 267, 5549, 269, 23207, 3747, 585, 585, 3002, 6051, 2359, 538, 6080, 971, 607, 4496, 4393, 267, 7966, 864, 583, 3821, 5649, 2859, 1862, 21776, 476, 273, 267, 476, 1001, 276, 454, 17471, 14671, 14007, 8715, 659, 787, 17218, 630, 15014, 7246, 264, 2344, 2450, 568, 2693, 547, 581, 12595, 693, 20430, 476, 1556, 269, 4792, 5479, 676, 476, 1708, 273, 282, 607, 829, 513, 1007, 1382, 1867, 676, 7101, 5050, 29362, 267, 5549, 269, 23207, 7836, 593, 10229, 1299, 6725, 585, 2679, 2178, 6216, 9698, 543, 1587, 5649, 2859, 1862, 21776, 476, 273, 267, 476, 1001, 276, 454, 17471, 2520, 1774, 868, 850, 2344, 2450, 568, 2693, 547, 581, 12595, 693, 20430, 476, 279, 269, 2190, 5479, 676, 476, 1708, 271, 282, 607, 829, 513, 1007, 1382, 1867, 676, 7101, 5050, 29362, 267, 5549, 269, 23207, 946, 538, 3037, 15699, 2534, 13745, 609, 3395, 3498, 9165, 538, 4155, 1299, 16749, 1020, 5443, 5649, 2859, 1862, 19751, 476, 2641, 267, 476, 1001, 276, 454, 7476, 707, 14511, 17251, 689, 606, 2872, 4274, 269, 32369, 585, 513, 1863, 1587, 2689, 1354, 1867, 6718, 563, 307, 3326, 5131, 281, 476, 272, 268, 31229, 268, 1708, 268, 4817, 272, 280, 454, 10387, 841, 281, 1496, 16942, 6870, 2639, 11854, 752, 547, 519, 1867, 2278, 547, 1374, 606, 12600, 1353, 547, 4196, 707, 1382, 2115, 563, 288, 16499, 11102, 585, 3028, 17284, 6719, 538, 519, 1106, 540, 645, 17668, 834, 288, 257, 6452, 1042, 2787, 563, 7312, 2123, 543, 14804, 1344, 568, 2922, 543, 5150, 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 ]
[ 9732, 18248, 9732, 28171, 513, 6152, 4542, 585, 519, 4320, 540, 513, 25543, 28353, 692, 258, 28171, 513, 6152, 4542, 585, 519, 4320, 540, 513, 25543, 28353, 692, 272, 269, 6333, 513, 25543, 28353, 609, 14622, 1547, 28171, 602, 519, 4320, 540, 519, 25543, 28353, 568, 2016, 676, 519, 4542, 692, 273, 269, 30770, 519, 4320, 538, 519, 2013, 602, 692, 272, 269, 19577, 269, 1284, 917, 519, 4320, 540, 513, 25543, 28353, 568, 2016, 676, 630, 3602, 18575, 519, 15820, 540, 519, 25543, 28353, 1040, 1284, 917, 630, 2457, 476, 275, 3445, 540, 24347, 565, 264, 602, 519, 4320, 540, 519, 17704, 548, 335, 21317, 609, 3490, 4646, 676, 6152, 543, 4463, 4646, 676, 6152, 568, 2016, 676, 1547, 769, 713, 2013, 649, 723, 602, 519, 3490, 540, 519, 25543, 28353, 568, 4646, 676, 519, 10321, 543, 2073, 543, 519, 4463, 568, 4646, 676, 519, 6152, 1547, 4329, 267, 649, 917, 602, 519, 1858, 540, 519, 3490, 4330, 676, 519, 10321, 543, 568, 835, 3368, 602, 540, 519, 17704, 548, 335, 21317, 4171, 3490, 568, 2016, 676, 10321, 543, 630, 26238, 519, 3490, 540, 519, 17704, 548, 335, 21317, 4330, 676, 10321, 543, 568, 513, 13551, 267, 543, 519, 3490, 540, 519, 25543, 28353, 568, 519, 6906, 4646, 676, 5969, 713, 13551, 2059, 519, 15497, 1040, 4475, 649, 723, 692, 273, 269, 4635, 519, 4542, 538, 851, 630, 320, 264, 609, 519, 2016, 2418, 540, 649, 723, 692, 2162, 2290, 6085, 692, 272, 269, 32088, 3081, 1384, 19675, 333, 1406, 621, 581, 554, 18575, 519, 15820, 286, 0, 12709, 9732, 476, 1428, 1772, 476, 736, 20587, 2986, 1548, 286, 1715, 22352, 692, 258, 476, 1428, 1772, 476, 736, 20587, 2986, 1548, 286, 1715, 22352, 692, 4131, 779, 1865, 519, 2243, 281, 476, 1428, 568, 476, 736, 2600, 540, 1018, 269, 1284, 17412, 782, 4143, 4267, 538, 3296, 1627, 26031, 540, 3896, 13474, 16443, 545, 17380, 2593, 538, 7121, 281, 631, 19616, 269, 6423, 811, 1644, 2055, 538, 519, 8292, 2630, 780, 1012, 1548, 1297, 568, 476, 736, 260, 540, 476, 1428, 2496, 12585, 281, 476, 736, 260, 540, 476, 1428, 568, 476, 274, 780, 1012, 1548, 2600, 540, 476, 736, 568, 476, 1428, 3070, 2496, 8110, 1417, 720, 18185, 281, 476, 1428, 568, 1018, 2600, 540, 476, 736, 286, 815, 476, 4037, 780, 2162, 20587, 720, 570, 4459, 1107, 16534, 840, 1417, 1137, 15508, 1107, 21159, 1500, 2653, 609, 519, 3579, 2979, 8945, 2439, 8110, 1417, 720, 570, 4459, 1107, 16534, 840, 1417, 1137, 15508, 1107, 21159, 1500, 2653, 609, 519, 3579, 2979, 8945, 2336, 8110, 1417, 720, 570, 4459, 1107, 16534, 840, 1417, 1137, 15508, 1107, 21159, 1500, 2653, 609, 519, 3579, 2979, 8945, 2439, 1012, 1215, 798, 594, 5173, 476, 736, 2600, 540, 513, 1297, 2496, 7078, 281, 476, 736, 260, 540, 1018, 568, 476, 278, 888, 272, 269, 18838, 1210, 519, 4542, 281, 2473, 815, 476, 278, 21680, 476, 736, 14999, 273, 269, 22417, 519, 2600, 547, 513, 8918, 563, 274, 269, 476, 736, 260, 21680, 476, 1911, 815, 476, 271, 269, 273, 563, 275, 269, 2473, 815, 476, 278, 21680, 476, 271, 269, 273, 563, 276, 269, 2473, 815, 476, 3374, 563, 277, 269, 1924, 476, 736, 260, 540, 476, 3374, 568, 476, 278, 780, 1012, 1548, 568, 519, 6871, 540, 476, 736, 260, 2496, 16665, 9208, 20587, 720, 6726, 725, 593, 476, 736, 568, 1018, 2600, 540, 476, 1911, 454, 311, 568, 20587, 720, 27456, 264, 540, 962, 454, 866, 476, 866, 476, 1911, 454, 736, 476, 736, 476, 1911, 454, 2641, 476, 2641, 476, 1911, 454, 2420, 476, 2420, 476, 1911, 692, 1012, 1215, 798, 596, 1265, 476, 1428, 2600, 2496, 9617, 7941, 519, 6871, 676, 476, 1911, 267, 543, 596, 616, 1305, 269, 476, 1428, 260, 568, 519, 1482, 607, 476, 271, 269, 1428, 780, 1012, 1548, 1297, 568, 476, 1428, 260, 540, 476, 5197, 2496, 1428, 2600, 540, 476, 5197, 568, 476, 2767, 780, 1012, 1548, 1297, 568, 476, 736, 260, 540, 476, 5611, 2496, 12585, 281, 476, 736, 260, 540, 476, 5611, 568, 476, 1789, 780, 4131, 779, 1265, 476, 736, 260, 540, 476, 5611, 780, 1012, 1548, 779, 476, 866, 856, 540, 476, 736, 607, 513, 6871, 2496, 3086, 649, 666, 1294, 602, 938, 6824, 568, 476, 4817, 270, 1911, 267, 799, 1797, 602, 476, 866, 270, 736, 607, 513, 6871, 568, 476, 4817, 260, 780, 1012, 29243, 476, 1704, 856, 540, 476, 736, 607, 513, 6871, 2496, 1704, 856, 540, 476, 736, 607, 513, 6871, 568, 476, 5952, 260, 780, 1012, 1215, 798, 596, 5173, 21159, 2496, 8110, 1417, 720, 666, 581, 7229, 676, 12270, 519, 1871, 676, 519, 2698, 1871, 267, 543, 1287, 14921, 519, 1267, 676, 476, 1911, 269, 634, 4542, 1031, 547, 5173, 6871, 568, 281, 630, 7407, 14121, 4973, 1871, 264, 9943, 1911, 260, 780, 2162, 1548, 20587, 540, 476, 736, 568, 476, 1789, 692, 1432, 20587, 540, 476, 736, 568, 476, 1789, 454, 1432, 20587, 540, 476, 736, 568, 476, 1789, 692, 1012, 1548, 568, 519, 6871, 540, 476, 1015, 2496, 8110, 1417, 720, 3070, 609, 3268, 281, 5153, 476, 272, 281, 1284, 1118, 519, 13429, 602, 476, 1015, 568, 476, 1911, 4939, 2094, 621, 568, 938, 3977, 1871, 780, 16665, 9208, 20587, 720, 6726, 725, 593, 476, 1911, 568, 1018, 2600, 540, 476, 1015, 563, 311, 568, 20587, 720, 27456, 264, 540, 962, 454, 271, 269, 272, 476, 272, 476, 1015, 454, 271, 269, 273, 476, 273, 476, 1015, 454, 271, 269, 274, 476, 274, 476, 1015, 454, 271, 269, 275, 476, 275, 476, 1015, 692, 1012, 1548, 1297, 568, 476, 736, 260, 540, 476, 6344, 2496, 12585, 281, 476, 736, 260, 540, 476, 6344, 568, 476, 2190, 780, 4131, 779, 1265, 476, 736, 260, 540, 476, 6344, 780, 1012, 1548, 1297, 568, 476, 1428, 2600, 540, 476, 1789, 2496, 1428, 2600, 540, 476, 1789, 568, 476, 275, 269, 276, 780, 1012, 1215, 798, 596, 1039, 476, 1428, 2600, 593, 513, 9498, 2496, 2252, 596, 1616, 547, 2333, 513, 1297, 676, 513, 1978, 6871, 267, 1246, 891, 3268, 912, 272, 269, 19147, 519, 1297, 596, 6999, 547, 2333, 676, 476, 1911, 547, 1265, 476, 272, 260, 540, 621, 563, 273, 269, 25092, 476, 272, 260, 676, 707, 6074, 6871, 563, 275, 269, 1703, 596, 979, 267, 596, 723, 1175, 3773, 513, 6871, 2333, 547, 513, 1297, 2439, 1012, 1548, 1297, 568, 476, 1428, 260, 540, 476, 11740, 2496, 1428, 2600, 540, 476, 11740, 568, 476, 7918, 780, 1012, 1548, 1297, 568, 476, 1428, 260, 540, 476, 1220, 2496, 1428, 2600, 540, 476, 1220, 568, 476, 1789, 780, 1012, 1548, 1297, 568, 476, 1428, 260, 540, 476, 13136, 2496, 1428, 2600, 540, 476, 13136, 568, 476, 3451, 780, 1012, 1548, 1297, 568, 476, 736, 260, 540, 476, 4968, 2496, 736, 260, 540, 476, 4968, 568, 3160, 547, 476, 2568, 780, 2162, 5457, 634, 8745, 630, 302, 24810, 11473, 264, 1107, 10783, 19724, 692, 8855, 634, 8745, 630, 302, 24810, 11473, 264, 1107, 10783, 19724, 454, 8855, 634, 8745, 630, 302, 24810, 11473, 264, 1107, 10783, 19724, 692, 1012, 1548, 1297, 568, 476, 2568, 260, 540, 476, 1789, 2496, 2568, 2600, 630, 20412, 730, 6871, 4939, 264, 540, 1018, 1297, 11224, 476, 1789, 286, 8382, 281, 476, 2004, 269, 3976, 267, 476, 2568, 260, 540, 476, 2004, 568, 476, 1789, 780, 1012, 1548, 1297, 568, 476, 5611, 260, 540, 476, 2004, 2496, 8110, 1417, 720, 18185, 281, 1548, 568, 476, 5611, 2600, 540, 476, 2004, 286, 815, 476, 4037, 780, 16665, 19707, 692, 1892, 1018, 2600, 540, 476, 1428, 568, 3160, 547, 476, 1428, 540, 476, 736, 454, 1892, 7117, 568, 1018, 2600, 540, 476, 736, 540, 476, 1428, 454, 1892, 476, 3199, 540, 1018, 1297, 568, 476, 276, 454, 1892, 476, 1321, 568, 476, 275, 540, 1018, 1297, 454, 1892, 1018, 2600, 568, 476, 1428, 856, 540, 476, 736, 454, 1892, 1018, 2600, 540, 476, 736, 568, 476, 1428, 2634, 569, 454, 1892, 476, 1428, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 1018, 6871, 540, 476, 736, 568, 476, 1015, 454, 1892, 476, 14444, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 476, 1789, 2600, 540, 1018, 1297, 568, 476, 1428, 454, 1892, 1018, 568, 476, 736, 2600, 540, 476, 1428, 9489, 454, 1892, 476, 15150, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 476, 272, 568, 1018, 2600, 540, 476, 1015, 454, 1892, 476, 278, 568, 476, 3583, 540, 1018, 1297, 454, 1892, 476, 736, 568, 476, 1839, 540, 1018, 1297, 454, 1892, 476, 5611, 876, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 476, 278, 568, 476, 3583, 260, 540, 1018, 1297, 454, 1892, 476, 14028, 271, 568, 476, 736, 2600, 540, 1018, 454, 1892, 476, 5611, 9489, 568, 476, 736, 2600, 540, 1018, 454, 1892, 476, 736, 476, 1822, 568, 476, 1428, 2600, 540, 1018, 1297, 454, 1892, 1018, 568, 476, 736, 2600, 540, 476, 1428, 476, 1822, 9489, 454, 1892, 476, 5611, 271, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 476, 5611, 568, 476, 736, 2600, 540, 1018, 454, 1892, 476, 5611, 876, 568, 476, 736, 2600, 540, 1018, 454, 1892, 476, 1321, 568, 476, 275, 260, 540, 1018, 1297, 454, 1892, 1018, 568, 519, 4320, 540, 513, 476, 736, 2600, 18861, 3070, 602, 3568, 476, 1428, 16720, 540, 18861, 454, 1892, 1018, 568, 476, 1428, 2600, 540, 476, 736, 476, 1822, 454, 1892, 476, 5611, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 476, 14444, 876, 568, 476, 736, 2600, 540, 1018, 1297, 454, 1892, 476, 3199, 260, 540, 1018, 1297, 568, 476, 276, 454, 1892, 1018, 2600, 540, 476, 1428, 568, 476, 277, 692, 1012, 6176, 1644, 547, 519, 1888, 476, 1428, 568, 476, 736, 2600, 540, 1018, 692, 2080, 616, 519, 3406, 2164, 540, 519, 8142, 476, 1428, 568, 476, 736, 2600, 540, 1018, 689, 29078, 269, 1411, 666, 1224, 811, 952, 596, 1616, 780, 2791, 723, 1175, 2097, 2066, 606, 2376, 593, 519, 1888, 476, 1428, 568, 476, 736, 2600, 540, 1018, 269, 1403, 596, 1336, 713, 2376, 3730, 267, 5225, 2671, 621, 269, 11289, 596, 1360, 1454, 269, 0, 258, 476, 6858, 269, 278, 4846, 547, 7273, 910, 476, 6858, 269, 278, 13532, 547, 6550, 692, 2710, 596, 1616, 547, 917, 875, 1454, 568, 476, 6858, 269, 278, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 6858, 269, 278, 4846, 547, 7273, 286, 1411, 7948, 1406, 723, 6074, 1732, 269, 901, 2898, 2376, 568, 6131, 547, 11304, 547, 11013, 7503, 910, 1312, 7811, 543, 4052, 269, 898, 568, 849, 2877, 270, 2171, 849, 1616, 547, 5031, 602, 2898, 713, 2376, 568, 13991, 547, 513, 1808, 2179, 540, 13532, 910, 602, 568, 835, 11304, 269, 1924, 952, 596, 991, 547, 1451, 811, 827, 476, 6858, 269, 278, 4846, 547, 11013, 7503, 910, 1832, 2542, 780, 6524, 649, 979, 547, 519, 2259, 910, 621, 1797, 476, 6858, 269, 278, 4846, 875, 1454, 7273, 7503, 910, 649, 616, 2469, 547, 2995, 596, 513, 2370, 3787, 540, 7811, 1344, 827, 891, 1079, 4559, 910, 13532, 543, 6550, 269, 1924, 1577, 779, 1376, 780, 1692, 547, 6460, 476, 6858, 269, 278, 4846, 547, 7273, 286, 476, 6858, 269, 278, 13532, 621, 568, 3160, 476, 14983, 269, 21857, 4817, 272, 4391, 275, 6550, 267, 865, 476, 6858, 269, 278, 4846, 568, 3160, 476, 14983, 269, 21857, 4817, 272, 4391, 275, 7273, 780, 1012, 476, 6858, 269, 278, 4846, 338, 538, 6550, 692, 2171, 616, 2469, 547, 1376, 609, 519, 11304, 269, 634, 11304, 568, 513, 1770, 540, 2527, 269, 898, 568, 513, 3490, 1770, 538, 513, 11973, 1062, 267, 538, 6101, 4139, 3590, 540, 19590, 630, 514, 2110, 1106, 16038, 6393, 4263, 2053, 519, 11304, 666, 581, 2854, 607, 11304, 1889, 269, 634, 3090, 540, 713, 1770, 568, 4846, 780, 763, 11304, 729, 3989, 1101, 942, 538, 476, 9692, 276, 269, 634, 11304, 729, 4330, 607, 519, 2527, 540, 835, 2148, 540, 1216, 269, 3689, 4214, 729, 3274, 855, 11207, 791, 24411, 547, 946, 780, 10190, 267, 538, 476, 6642, 280, 519, 11304, 729, 4330, 1210, 519, 4139, 5019, 9189, 540, 519, 18741, 6945, 630, 514, 28484, 1106, 7379, 298, 1040, 634, 4139, 5019, 9189, 540, 519, 18741, 6945, 729, 1500, 540, 476, 3445, 260, 31091, 543, 476, 1015, 4939, 3352, 29899, 269, 634, 4139, 5019, 9189, 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 ]
[ 609, 4810, 10526, 269, 634, 946, 540, 2872, 17253, 2473, 716, 1493, 3301, 11880, 2572, 519, 13250, 543, 4483, 540, 891, 1239, 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, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 2385, 30512, 3347, 1369, 519, 6626, 2796, 540, 7365, 543, 1920, 6384, 269, 1284, 786, 2263, 875, 1914, 32241, 2188, 3310, 891, 3347, 267, 9878, 1880, 3007, 547, 519, 1909, 540, 1514, 2257, 1382, 543, 922, 3498, 547, 4207, 2152, 269, 3776, 4901, 14405, 2390, 14172, 689, 1585, 2959, 267, 1519, 519, 960, 540, 9565, 16895, 543, 14262, 2090, 5342, 676, 3906, 971, 607, 519, 1977, 16723, 5948, 630, 4338, 288, 264, 543, 519, 1977, 8274, 540, 5983, 14750, 10017, 780, 2414, 2253, 267, 1577, 781, 2015, 519, 3140, 7418, 540, 2038, 5640, 945, 21490, 519, 1259, 585, 938, 2413, 1620, 540, 2385, 30512, 3347, 269, 1280, 3236, 267, 631, 600, 773, 1912, 2089, 338, 18412, 543, 1200, 9393, 26366, 996, 18412, 941, 21722, 4563, 16895, 4171, 1382, 9788, 519, 5748, 585, 1153, 964, 1122, 12198, 3646, 1282, 519, 6406, 7126, 11873, 269, 4256, 4583, 834, 323, 3326, 6901, 257, 7152, 602, 1453, 607, 1762, 607, 1614, 1296, 2025, 17820, 7292, 9186, 950, 4280, 547, 3442, 1063, 31119, 8204, 1114, 2960, 18565, 269, 901, 19506, 1353, 12006, 519, 7096, 1764, 602, 6848, 8456, 827, 5198, 666, 723, 593, 1582, 8410, 1061, 1646, 543, 14375, 1894, 1369, 3885, 630, 13563, 16723, 5948, 267, 476, 1001, 280, 6393, 11101, 267, 3173, 899, 769, 14162, 30094, 569, 1160, 1087, 518, 25967, 1819, 519, 4644, 540, 2686, 16169, 538, 3872, 5468, 269, 1306, 18148, 1696, 620, 269, 630, 1220, 276, 264, 2491, 267, 1160, 1087, 518, 23647, 585, 15520, 4143, 27380, 1279, 1354, 621, 2968, 6752, 762, 267, 9301, 602, 2500, 3450, 1590, 2272, 585, 3309, 10080, 543, 2833, 269, 4173, 9371, 5170, 547, 8300, 7855, 2221, 607, 789, 11441, 547, 6536, 2318, 4081, 4093, 585, 782, 1053, 267, 7488, 540, 741, 7292, 610, 14227, 4567, 525, 780, 3086, 12997, 267, 1914, 5505, 543, 16895, 7567, 11760, 602, 7365, 543, 1920, 6384, 616, 8032, 711, 1152, 676, 1367, 4162, 855, 849, 676, 3677, 7293, 4229, 267, 971, 607, 2804, 8635, 267, 2797, 19237, 267, 543, 2923, 11269, 269, 9182, 267, 3237, 689, 12790, 2950, 1419, 3068, 2189, 2591, 950, 10188, 1950, 1949, 1247, 8195, 14637, 2635, 1126, 1646, 269, 1677, 9414, 267, 1970, 13867, 11299, 540, 2681, 949, 7237, 7496, 17034, 2298, 3782, 2533, 1813, 547, 11528, 10168, 267, 7130, 267, 543, 16663, 2404, 609, 6710, 630, 289, 320, 636, 337, 785, 267, 476, 1960, 272, 282, 32511, 20477, 267, 476, 1960, 271, 1040, 1452, 13103, 3565, 547, 4057, 1072, 4093, 543, 28511, 9979, 540, 19319, 2066, 5481, 780, 293, 6136, 267, 972, 6818, 513, 3395, 1560, 540, 3332, 6131, 547, 6313, 6043, 1851, 3885, 7680, 14488, 269, 1280, 1383, 267, 5975, 4545, 22620, 543, 700, 6759, 19649, 630, 1960, 274, 264, 1336, 602, 21337, 6107, 8858, 7415, 13916, 5103, 6849, 2789, 21500, 1644, 547, 11776, 267, 934, 738, 4851, 267, 543, 1893, 15334, 269, 1635, 5807, 8825, 2188, 899, 2178, 22686, 7554, 267, 536, 12734, 3961, 5610, 267, 543, 2146, 4296, 267, 891, 2043, 6542, 7415, 4222, 543, 16177, 538, 519, 3068, 540, 27465, 780, 1103, 1840, 547, 3695, 703, 2350, 8590, 3604, 267, 4207, 5640, 11168, 519, 2956, 540, 28622, 1107, 513, 7811, 5943, 2919, 676, 13690, 828, 331, 2946, 11511, 985, 24849, 630, 2735, 280, 264, 799, 8711, 875, 20718, 9163, 630, 324, 3052, 1421, 4008, 267, 5198, 267, 1362, 264, 3337, 5030, 2833, 543, 3255, 269, 16792, 713, 7828, 547, 2385, 30512, 3347, 8761, 1007, 4030, 3823, 1379, 6384, 267, 17979, 267, 543, 15746, 1369, 3885, 269, 1280, 3236, 267, 25812, 1417, 878, 15594, 5380, 8774, 1769, 593, 519, 2081, 602, 4563, 2021, 6330, 12721, 7569, 607, 1312, 15637, 543, 13230, 1274, 2996, 267, 4101, 2757, 10054, 827, 14774, 5107, 543, 9021, 630, 31890, 267, 476, 1220, 271, 282, 29945, 267, 476, 2735, 275, 6393, 15563, 267, 649, 3112, 26777, 519, 13710, 1761, 540, 2029, 538, 5935, 4207, 1920, 1272, 269, 7913, 2792, 5867, 7520, 2518, 14479, 267, 3850, 6905, 10252, 5121, 547, 2226, 2673, 13218, 5103, 10923, 3845, 630, 300, 6598, 537, 1299, 16019, 267, 476, 1001, 273, 1040, 1717, 267, 891, 2645, 849, 1459, 3209, 2591, 585, 3237, 5275, 547, 3666, 5496, 942, 609, 824, 3344, 540, 1646, 267, 971, 607, 2168, 2534, 267, 3929, 7939, 267, 543, 3860, 4082, 630, 305, 728, 719, 1299, 7605, 321, 267, 476, 1001, 280, 1040, 4935, 267, 5571, 5188, 1063, 3173, 267, 9439, 267, 543, 14519, 3788, 1898, 585, 5009, 12581, 1569, 547, 2200, 543, 4180, 6099, 8171, 585, 782, 2818, 540, 519, 5051, 4129, 1881, 1920, 5251, 780, 27066, 692, 13563, 16723, 5948, 269, 630, 1001, 280, 1040, 631, 600, 773, 1912, 2089, 338, 18412, 267, 12854, 267, 543, 26366, 996, 18412, 267, 12854, 269, 8158, 689, 2999, 10059, 2517, 4178, 269, 23981, 3820, 270, 7032, 270, 334, 9047, 270, 637, 1545, 270, 30710, 640, 268, 8234, 270, 17595, 5505, 270, 743, 1046, 285, 692, 13563, 16723, 5948, 269, 630, 1001, 275, 1040, 7935, 577, 675, 269, 8158, 689, 2999, 10674, 2517, 4178, 269, 629, 325, 335, 2593, 11486, 549, 577, 675, 269, 5684, 285, 692, 13563, 16723, 5948, 269, 630, 1001, 275, 1040, 23958, 2866, 543, 4876, 7399, 538, 3635, 543, 7328, 6530, 269, 8158, 689, 2999, 10674, 2517, 4178, 269, 777, 611, 643, 2888, 3820, 7933, 643, 1707, 268, 5325, 270, 12671, 270, 637, 1545, 270, 10177, 1456, 269, 5684, 343, 286, 14403, 284, 272, 285, 692, 13563, 16723, 5948, 269, 630, 1001, 272, 1040, 10017, 607, 513, 4876, 269, 8158, 689, 2999, 10674, 2517, 4178, 269, 23981, 3820, 270, 25531, 270, 8974, 326, 2784, 270, 17595, 13282, 518, 269, 5684, 343, 285, 692, 289, 320, 636, 337, 785, 267, 667, 269, 630, 1960, 272, 1040, 634, 3310, 540, 15970, 2511, 593, 15730, 16169, 543, 6219, 946, 269, 4750, 540, 7216, 20390, 12412, 267, 476, 1556, 263, 272, 1070, 476, 6321, 268, 4817, 780, 13051, 15924, 267, 700, 1421, 8361, 267, 918, 1421, 1299, 5062, 300, 1695, 517, 267, 700, 269, 630, 1220, 276, 1040, 769, 14162, 30094, 569, 1160, 1087, 518, 543, 519, 2069, 540, 3979, 4892, 269, 4750, 540, 519, 3778, 540, 519, 19884, 7070, 267, 476, 6078, 267, 476, 6246, 1700, 7830, 780, 289, 564, 4545, 22620, 267, 670, 1421, 1299, 700, 6759, 19649, 267, 590, 269, 681, 269, 630, 1960, 274, 1040, 634, 1353, 540, 2528, 267, 14940, 267, 543, 5198, 538, 1977, 6530, 269, 1977, 5369, 6048, 267, 476, 4366, 263, 277, 1070, 476, 277, 3066, 268, 277, 4391, 780, 290, 27231, 24849, 267, 918, 269, 630, 2735, 280, 1040, 5915, 1173, 1400, 1944, 519, 10167, 540, 5198, 543, 3023, 281, 589, 3109, 15594, 16472, 540, 1884, 573, 4593, 19303, 14985, 267, 15594, 3069, 543, 4550, 2350, 626, 6214, 269, 2160, 540, 9628, 13751, 17072, 267, 476, 16928, 268, 15757, 780, 31890, 267, 623, 269, 670, 269, 630, 1220, 271, 1040, 4563, 15594, 2219, 281, 11310, 267, 9637, 267, 543, 519, 6214, 540, 16882, 269, 30296, 780, 327, 23697, 267, 536, 269, 630, 2735, 275, 1040, 12339, 21442, 3069, 281, 3245, 14345, 547, 4099, 269, 3162, 7736, 4964, 780, 300, 6598, 537, 267, 631, 1421, 1299, 16019, 267, 667, 269, 630, 1001, 273, 1040, 2717, 2096, 4215, 281, 27870, 513, 1007, 3069, 540, 3059, 2923, 5054, 269, 1715, 9012, 1299, 5980, 267, 476, 1691, 263, 273, 1070, 476, 15757, 268, 6977, 780, 18250, 299, 20477, 267, 966, 269, 595, 269, 630, 1960, 271, 1040, 634, 1764, 540, 2804, 27465, 593, 4563, 3885, 543, 1453, 281, 16723, 11605, 267, 15970, 267, 543, 8739, 655, 10899, 1646, 269, 4132, 4886, 267, 476, 8618, 263, 273, 1070, 476, 25313, 268, 31798, 780, 305, 728, 719, 267, 966, 269, 808, 1421, 1299, 7605, 321, 267, 631, 269, 645, 269, 630, 1001, 280, 1040, 20023, 547, 5216, 281, 5753, 781, 2923, 946, 538, 3013, 476, 1001, 278, 269, 5871, 23281, 9012, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7072, 547, 10017, 454, 13563, 8274, 540, 5983, 14750, 10017, 269, 630, 1001, 275, 1040, 7935, 577, 675, 269, 5291, 2517, 4178, 269, 629, 325, 335, 2593, 11486, 549, 577, 675, 269, 5684, 454, 13563, 16723, 5948, 269, 630, 1001, 275, 1040, 8940, 269, 23981, 3820, 454, 13563, 16723, 5948, 269, 630, 1001, 275, 1040, 23958, 2866, 543, 4876, 7399, 538, 3635, 543, 7328, 6530, 269, 5291, 2517, 4178, 269, 777, 611, 643, 2888, 3820, 7933, 643, 1707, 268, 5325, 270, 12671, 270, 637, 1545, 270, 10177, 1456, 269, 5684, 343, 286, 14403, 284, 272, 454, 13563, 16723, 5948, 269, 630, 1001, 280, 1040, 8575, 830, 1912, 2089, 338, 18412, 267, 12854, 267, 543, 26366, 996, 18412, 267, 12854, 269, 4179, 2517, 4178, 269, 23981, 3820, 270, 7032, 270, 334, 9047, 270, 637, 1545, 270, 30710, 640, 268, 8234, 270, 17595, 5505, 270, 743, 1046, 454, 13563, 16723, 5948, 269, 630, 1001, 272, 1040, 10017, 607, 513, 4876, 269, 5291, 2517, 4178, 269, 23981, 3820, 270, 25531, 270, 8974, 326, 2784, 270, 17595, 13282, 518, 269, 5684, 343, 454, 13051, 15924, 267, 700, 1421, 8361, 267, 918, 1421, 1299, 5062, 300, 1695, 517, 267, 700, 269, 630, 1220, 276, 1040, 769, 14162, 30094, 569, 1160, 1087, 518, 543, 519, 2069, 540, 3979, 4892, 269, 4750, 540, 519, 3778, 540, 519, 19884, 7070, 267, 476, 6078, 267, 476, 6246, 1700, 7830, 269, 4179, 2517, 517, 4802, 601, 3869, 9884, 13704, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 1911, 273, 10768, 327, 2125, 269, 1220, 6812, 454, 289, 564, 4545, 22620, 267, 670, 1421, 1299, 700, 6759, 19649, 267, 590, 269, 681, 269, 630, 1960, 274, 1040, 634, 1353, 540, 2528, 267, 14940, 267, 543, 5198, 538, 1977, 6530, 269, 2549, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 24205, 1315, 25141, 1299, 7731, 1315, 9977, 16644, 843, 17716, 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, 7689, 281, 19805, 513, 645, 261, 289, 19715, 910, 15531, 519, 17828, 20128, 585, 2659, 5851, 589, 3118, 3245, 5851, 692, 5331, 596, 2811, 2469, 593, 513, 1920, 4155, 7552, 2066, 519, 2197, 256, 1411, 4312, 4956, 547, 3251, 693, 5127, 543, 2736, 325, 6814, 630, 289, 261, 24871, 264, 2059, 519, 1259, 3079, 540, 20730, 269, 1809, 723, 596, 2479, 2219, 827, 1018, 2306, 513, 1390, 4087, 585, 513, 645, 261, 289, 286, 2913, 781, 2263, 930, 2188, 547, 2015, 950, 7446, 519, 3501, 5544, 585, 707, 1753, 2476, 689, 1753, 2439, 272, 269, 29456, 454, 2691, 3168, 585, 513, 645, 261, 289, 267, 621, 781, 1271, 547, 1589, 827, 875, 2653, 621, 786, 581, 547, 1205, 972, 269, 1772, 621, 2282, 2101, 9897, 610, 1857, 6283, 286, 1215, 2484, 568, 621, 689, 18845, 596, 1616, 547, 3643, 286, 1403, 519, 645, 261, 289, 568, 2352, 547, 1265, 610, 1932, 2484, 689, 1919, 547, 798, 267, 621, 1522, 711, 581, 519, 1655, 3903, 780, 265, 7151, 281, 14597, 596, 2811, 9683, 27850, 6807, 267, 17906, 267, 543, 1616, 547, 1294, 4583, 2575, 21056, 269, 1411, 9364, 4440, 4782, 513, 645, 261, 289, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 945, 3096, 1018, 851, 540, 519, 2230, 269, 901, 568, 8200, 593, 519, 3804, 540, 519, 3992, 563, 314, 2507, 4940, 4438, 519, 3992, 649, 723, 3346, 593, 875, 1919, 960, 856, 1848, 630, 28808, 5090, 667, 8094, 13036, 538, 519, 1565, 8075, 568, 5693, 7298, 267, 12211, 9244, 547, 519, 3119, 1184, 540, 2069, 543, 3610, 1265, 2081, 454, 1729, 5447, 741, 2238, 269, 3958, 267, 519, 1565, 8075, 3100, 547, 12954, 3610, 547, 15217, 1451, 543, 960, 593, 454, 574, 2889, 1324, 543, 3048, 908, 741, 3450, 267, 607, 568, 4330, 538, 519, 1739, 6898, 912, 2108, 2791, 1294, 865, 1454, 689, 1142, 824, 269, 769, 1614, 4374, 942, 594, 723, 4121, 811, 689, 1250, 454, 3712, 548, 8046, 1934, 982, 594, 723, 538, 1296, 693, 1250, 3105, 1153, 6100, 630, 293, 655, 651, 994, 14071, 723, 7318, 513, 1505, 585, 2542, 1983, 538, 1896, 5049, 269, 15431, 4940, 3689, 649, 7318, 519, 1377, 454, 3602, 1053, 941, 269, 3973, 649, 1031, 519, 1505, 543, 7318, 1053, 685, 1377, 1586, 563, 5978, 1353, 4951, 519, 1505, 1705, 711, 960, 269, 1924, 649, 3136, 938, 3406, 585, 513, 1505, 454, 7474, 786, 948, 547, 2087, 2542, 1983, 6100, 630, 28808, 5090, 670, 8094, 2108, 5629, 513, 3923, 649, 1305, 909, 513, 5870, 547, 1865, 952, 3388, 568, 2469, 1134, 269, 901, 666, 849, 581, 3810, 1316, 328, 8894, 5632, 267, 585, 1383, 2048, 732, 649, 1869, 1210, 519, 1318, 3450, 2326, 286, 6100, 630, 295, 1301, 523, 994, 3519, 3667, 476, 273, 281, 18509, 7149, 454, 763, 2034, 2796, 1141, 3610, 3310, 1153, 6454, 543, 5647, 616, 11280, 6887, 602, 616, 759, 8894, 335, 976, 1043, 585, 513, 1978, 8072, 1723, 15453, 685, 263, 11357, 915, 1040, 589, 25640, 4116, 9843, 1142, 540, 891, 6887, 269, 769, 2698, 972, 616, 5722, 454, 1723, 24002, 281, 8072, 30700, 1416, 8730, 8072, 691, 543, 2528, 8730, 8072, 21745, 1388, 1565, 8730, 8072, 339, 11490, 1565, 8730, 8072, 1345, 3743, 1565, 8730, 8072, 2169, 571, 1225, 8894, 14152, 1565, 685, 663, 8072, 10919, 640, 22631, 1222, 9957, 15788, 267, 621, 4667, 602, 891, 6887, 616, 18005, 4397, 547, 3142, 827, 454, 574, 2889, 557, 906, 543, 10124, 538, 741, 1858, 540, 1719, 267, 17929, 789, 1246, 513, 9836, 1935, 269, 1855, 6359, 331, 267, 4717, 13541, 454, 8072, 1345, 3743, 1565, 8730, 6257, 621, 607, 5205, 912, 14881, 993, 3743, 267, 1927, 609, 1250, 8284, 4717, 13541, 267, 547, 798, 3981, 1431, 538, 519, 1858, 540, 1582, 3743, 454, 14048, 267, 538, 1931, 547, 2087, 2069, 269, 2334, 568, 1250, 2816, 269, 3962, 1032, 594, 25666, 6859, 9731, 10870, 867, 20788, 2119, 543, 4125, 9164, 547, 28111, 609, 873, 267, 607, 1855, 6359, 331, 6257, 912, 2108, 2791, 2932, 1382, 267, 543, 596, 2119, 547, 4125, 707, 9164, 563, 29310, 609, 1866, 596, 2119, 547, 1020, 1919, 9731, 4322, 6887, 543, 741, 4717, 20788, 616, 851, 540, 519, 6101, 13539, 540, 966, 987, 528, 560, 267, 1775, 4318, 269, 789, 616, 13166, 4330, 538, 454, 1492, 1153, 3391, 607, 7158, 543, 4717, 20788, 1185, 547, 4019, 585, 519, 2816, 269, 634, 10974, 2226, 3346, 609, 543, 454, 732, 18177, 547, 835, 540, 519, 3296, 3401, 269, 4475, 267, 2147, 547, 519, 1565, 8075, 267, 538, 519, 10974, 519, 6205, 8894, 15200, 2460, 540, 667, 299, 568, 18005, 22555, 269, 9861, 851, 540, 513, 11282, 3947, 3610, 519, 5539, 543, 4316, 454, 1729, 3310, 602, 1808, 1858, 540, 1445, 269, 901, 1858, 540, 1445, 630, 31347, 621, 568, 2875, 1416, 267, 1582, 3743, 1565, 610, 635, 8894, 22861, 640, 22631, 1222, 264, 4667, 547, 581, 519, 1292, 13057, 6240, 543, 2337, 3610, 538, 519, 10974, 547, 3914, 8580, 2002, 454, 3519, 3667, 476, 274, 281, 22252, 531, 21769, 454, 1103, 4334, 547, 519, 10974, 267, 519, 3791, 2796, 1141, 3610, 28111, 593, 6454, 543, 5647, 267, 19674, 538, 454, 320, 811, 13016, 1259, 269, 2311, 966, 987, 528, 560, 2516, 540, 3610, 1419, 1491, 21245, 7341, 547, 2087, 610, 3048, 622, 1978, 454, 553, 11072, 540, 519, 1153, 269, 769, 891, 13016, 21769, 3610, 1491, 3310, 17033, 1759, 593, 741, 4690, 610, 538, 454, 24978, 547, 2042, 610, 2055, 789, 7237, 538, 741, 3232, 960, 269, 1323, 1383, 568, 519, 11036, 540, 7585, 630, 14396, 264, 543, 454, 29445, 630, 338, 1539, 1108, 264, 945, 1927, 723, 2966, 513, 1007, 1576, 585, 8772, 17603, 269, 1358, 941, 1312, 5667, 15384, 30829, 609, 519, 454, 11357, 560, 3482, 602, 1034, 3506, 1376, 1210, 585, 519, 2489, 2257, 1576, 269, 1358, 4956, 547, 1374, 741, 1378, 1576, 267, 799, 454, 13069, 877, 513, 4999, 540, 741, 9757, 2127, 540, 6791, 269, 634, 1383, 540, 891, 3610, 2982, 875, 513, 3838, 1625, 8894, 2821, 630, 18485, 16462, 547, 1374, 513, 1732, 1576, 264, 2337, 547, 1265, 4287, 543, 3914, 8580, 2002, 8116, 563, 1103, 713, 3791, 2796, 519, 6205, 13807, 639, 2460, 540, 667, 299, 568, 711, 18005, 24451, 630, 553, 538, 519, 1565, 8075, 543, 519, 4717, 2088, 8894, 5052, 1070, 855, 568, 9141, 676, 513, 20009, 5790, 538, 519, 1153, 543, 17271, 8404, 540, 3610, 269, 1703, 568, 15792, 1727, 528, 8894, 339, 29774, 547, 1491, 11036, 267, 1510, 606, 13170, 689, 782, 9164, 269, 1855, 6359, 331, 6941, 912, 29467, 568, 513, 3860, 5790, 269, 594, 993, 711, 865, 1454, 3257, 1018, 1250, 3296, 6205, 6499, 803, 547, 798, 267, 855, 594, 454, 600, 2324, 689, 1250, 1378, 5539, 281, 2048, 296, 1589, 713, 568, 513, 1434, 2856, 267, 610, 602, 568, 2556, 2676, 296, 1589, 713, 1223, 2087, 6100, 630, 5938, 6359, 331, 994, 12234, 267, 2687, 547, 1855, 6359, 331, 519, 1153, 2359, 1281, 899, 547, 581, 5483, 593, 891, 1007, 7341, 543, 2093, 912, 2108, 15919, 3610, 1491, 11036, 281, 2048, 20756, 267, 594, 1616, 547, 2911, 827, 713, 610, 602, 9957, 3973, 621, 568, 1455, 547, 711, 1518, 454, 1492, 1153, 779, 2359, 269, 1411, 723, 513, 2603, 540, 5191, 267, 855, 519, 1153, 2359, 1281, 711, 5660, 454, 527, 950, 596, 6749, 606, 2856, 538, 519, 1153, 1510, 26655, 873, 9731, 3519, 3667, 476, 275, 281, 31131, 1565, 2238, 454, 7661, 267, 693, 966, 987, 528, 560, 972, 568, 606, 11606, 540, 18005, 22555, 1565, 2238, 538, 799, 3610, 543, 1153, 12103, 8894, 333, 1771, 24625, 8271, 1451, 269, 769, 4334, 547, 519, 1101, 1614, 8658, 267, 1934, 972, 568, 711, 8209, 513, 1463, 6662, 547, 454, 574, 2889, 557, 610, 3048, 622, 269, 4107, 5018, 630, 274, 17013, 264, 568, 513, 6101, 1565, 2534, 1572, 2108, 323, 573, 12519, 18006, 5608, 538, 799, 454, 974, 18291, 616, 2756, 582, 9464, 538, 741, 4928, 269, 1452, 7044, 616, 2663, 21845, 1927, 609, 513, 2108, 341, 8721, 16455, 6100, 16016, 5090, 667, 563, 22154, 666, 581, 3833, 29270, 269, 594, 1118, 6397, 9073, 269, 1809, 950, 596, 1865, 454, 527, 609, 9164, 267, 596, 1205, 4388, 602, 948, 596, 960, 1732, 9731, 8448, 17013, 630, 273, 264, 2446, 29468, 1141, 5007, 10529, 616, 14376, 269, 634, 1153, 568, 849, 851, 540, 6789, 9816, 25605, 2676, 534, 3486, 3060, 540, 3506, 543, 14540, 602, 1616, 547, 3142, 827, 1514, 10124, 269, 1452, 6101, 454, 716, 8481, 616, 5631, 5059, 593, 3318, 1646, 540, 3610, 543, 1153, 3401, 267, 543, 949, 630, 785, 1311, 569, 264, 1291, 547, 454, 574, 2889, 22777, 543, 5647, 563, 275, 269, 272, 269, 275, 634, 1909, 540, 519, 1153, 6205, 538, 5885, 667, 299, 543, 519, 623, 9448, 693, 966, 987, 528, 560, 454, 1103, 713, 5037, 649, 1865, 1896, 3527, 2212, 4487, 808, 11047, 6359, 333, 814, 3144, 547, 1489, 667, 299, 543, 513, 3318, 1565, 454, 10919, 640, 693, 966, 987, 528, 560, 563, 20058, 267, 2094, 513, 1804, 851, 540, 966, 987, 528, 560, 779, 1153, 6454, 543, 5647, 568, 18005, 22555, 538, 519, 10974, 267, 713, 454, 1889, 753, 519, 6101, 3401, 693, 966, 987, 528, 560, 723, 513, 31707, 1907, 547, 5000, 667, 299, 543, 513, 623, 9448, 269, 1358, 723, 519, 2702, 547, 3651, 454, 1723, 867, 3215, 3610, 547, 891, 6887, 267, 547, 6895, 519, 6887, 685, 2889, 28698, 543, 2303, 1007, 10974, 952, 454, 928, 10354, 269, 769, 824, 1913, 267, 538, 713, 2796, 808, 11047, 6359, 333, 543, 1200, 8284, 9946, 723, 910, 547, 513, 1978, 6708, 910, 6101, 1852, 454, 1478, 667, 299, 543, 519, 623, 9448, 563, 23382, 1456, 4229, 476, 866, 454, 30772, 267, 1082, 3610, 1289, 808, 11047, 6359, 333, 543, 519, 824, 9946, 693, 966, 987, 528, 560, 3810, 32615, 540, 4116, 779, 2093, 563, 2108, 5978, 3296, 6205, 13198, 4157, 6763, 1930, 547, 1082, 2093, 6100, 630, 295, 1301, 523, 994, 17606, 568, 1360, 2653, 547, 1205, 538, 5905, 609, 808, 11047, 6359, 333, 610, 513, 3296, 6205, 6100, 630, 28808, 5090, 670, 8094, 2108, 9515, 6645, 721, 547, 2097, 547, 1200, 609, 2093, 269, 15431, 4940, 2701, 20217, 1004, 547, 2285, 3403, 6100, 630, 6635, 333, 3716, 994, 1607, 1930, 2247, 539, 543, 32615, 10182, 540, 6101, 3401, 4667, 547, 1039, 547, 519, 2108, 16579, 633, 5790, 892, 520, 966, 987, 528, 560, 602, 454, 5938, 6359, 331, 4016, 547, 630, 5408, 4505, 10839, 1040, 769, 2489, 267, 713, 10182, 568, 4105, 585, 519, 5499, 7180, 540, 3610, 538, 519, 4717, 328, 8894, 333, 919, 543, 2523, 538, 519, 13016, 21769, 267, 607, 585, 1383, 3587, 2312, 538, 519, 1739, 10839, 676, 12339, 651, 912, 14881, 1589, 621, 782, 6238, 609, 513, 2596, 10182, 540, 3401, 602, 1294, 3255, 2864, 982, 7965, 563, 296, 4782, 14784, 936, 1004, 945, 616, 1373, 4371, 1394, 538, 741, 5876, 9731, 7775, 538, 2474, 540, 938, 12497, 5943, 281, 713, 32615, 10182, 4481, 7028, 519, 6205, 13807, 639, 2460, 540, 667, 299, 563, 23612, 569, 267, 808, 11047, 6359, 333, 5693, 3217, 11036, 547, 4786, 543, 4766, 519, 1153, 779, 5075, 269, 769, 3257, 865, 267, 808, 11047, 6359, 333, 814, 3238, 782, 454, 560, 820, 6868, 540, 519, 1153, 912, 14071, 723, 1305, 909, 513, 960, 16766, 538, 799, 1169, 10126, 540, 519, 1153, 729, 6719, 543, 782, 454, 3712, 548, 8046, 1223, 1205, 3238, 269, 1656, 540, 1576, 1053, 269, 3689, 267, 649, 13761, 952, 938, 5075, 729, 1869, 454, 322, 8091, 267, 543, 621, 729, 269, 3973, 649, 3323, 3206, 1018, 649, 4941, 547, 3914, 538, 519, 1985, 1906, 1296, 454, 663, 875, 649, 1223, 29311, 1346, 3853, 269, 594, 723, 1250, 1378, 2093, 827, 602, 267, 855, 649, 723, 547, 454, 27729, 971, 513, 1184, 1927, 6100, 630, 297, 11047, 6359, 333, 994, 297, 11047, 6359, 333, 543, 1200, 9164, 3277, 547, 519, 1153, 779, 5075, 607, 2108, 1492, 9837, 540, 966, 987, 528, 560, 6100, 634, 9837, 568, 547, 2108, 1326, 519, 1655, 454, 719, 540, 6000, 267, 856, 540, 1866, 543, 856, 540, 519, 1158, 6100, 1703, 2421, 3025, 666, 960, 538, 513, 1259, 602, 17015, 1864, 610, 1200, 1655, 563, 30131, 3741, 602, 1004, 693, 966, 987, 528, 560, 960, 689, 616, 7862, 543, 25273, 269, 12339, 651, 6941, 602, 808, 11047, 6359, 333, 814, 454, 845, 4327, 519, 9837, 1759, 593, 782, 2238, 602, 941, 1373, 3144, 1369, 519, 1153, 281, 2108, 2005, 7140, 856, 649, 782, 723, 519, 454, 338, 877, 2596, 10182, 6100, 11153, 3610, 630, 276, 264, 2769, 741, 7071, 585, 808, 11047, 6359, 333, 2921, 593, 713, 1909, 269, 901, 2982, 602, 519, 454, 20880, 540, 519, 1153, 779, 5075, 543, 519, 1184, 808, 11047, 6359, 333, 814, 4553, 547, 25666, 621, 1489, 8580, 2002, 8116, 1369, 519, 454, 19177, 628, 569, 267, 952, 2093, 3514, 1369, 519, 1153, 779, 5075, 267, 808, 11047, 6359, 333, 543, 824, 9946, 1118, 2386, 891, 2093, 616, 6462, 267, 585, 454, 9987, 676, 3246, 3063, 942, 585, 3610, 547, 960, 593, 891, 2093, 269, 1323, 1383, 568, 519, 1007, 1576, 602, 7585, 543, 454, 29445, 723, 2919, 630, 5408, 667, 299, 543, 519, 623, 9448, 1657, 1040, 3689, 267, 789, 5249, 593, 519, 1576, 538, 741, 1378, 1863, 942, 269, 1879, 454, 297, 11047, 6359, 333, 13603, 909, 519, 2856, 1352, 729, 25981, 543, 11603, 3063, 942, 585, 519, 1079, 3610, 538, 519, 1007, 1153, 1032, 563, 7692, 543, 7671, 666, 1631, 849, 4125, 824, 9164, 538, 741, 4566, 269, 634, 3804, 568, 547, 1118, 519, 1576, 606, 7533, 851, 540, 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 ]
[ 269, 901, 10039, 547, 4587, 15013, 607, 1134, 607, 547, 1762, 2371, 267, 4352, 1762, 2371, 538, 1880, 991, 513, 2370, 811, 4027, 269, 634, 3037, 610, 3597, 1858, 568, 4988, 609, 513, 5394, 4494, 540, 3762, 267, 22890, 543, 5924, 11453, 6229, 269, 634, 5580, 2694, 540, 519, 2030, 666, 581, 6870, 676, 28277, 873, 538, 25176, 576, 610, 12450, 1319, 338, 610, 28277, 873, 1472, 873, 269, 0, 12892, 5121, 616, 21883, 6835, 28409, 1004, 711, 547, 6467, 547, 5907, 1780, 7964, 269, 634, 4589, 8044, 602, 538, 713, 1259, 3237, 9844, 547, 17319, 24328, 540, 519, 1126, 779, 8219, 1472, 519, 1158, 563, 1103, 1249, 267, 513, 3059, 1780, 1636, 2636, 596, 547, 1205, 909, 3562, 15082, 1239, 827, 519, 1126, 865, 602, 646, 666, 4309, 2564, 1416, 538, 513, 12905, 6073, 563, 2026, 513, 604, 269, 745, 7307, 547, 1265, 856, 1927, 609, 715, 22751, 9012, 267, 513, 4199, 585, 20392, 7301, 1344, 267, 513, 1126, 779, 3059, 1780, 1636, 568, 711, 2404, 609, 1418, 21856, 543, 1281, 711, 10460, 1022, 8594, 547, 3425, 563, 1432, 568, 513, 3059, 1780, 1636, 888, 763, 1126, 779, 3059, 1780, 1636, 568, 513, 1007, 3028, 602, 729, 9250, 607, 851, 540, 513, 2582, 3059, 3760, 585, 519, 3854, 779, 3782, 269, 898, 568, 2139, 547, 7189, 540, 782, 1453, 779, 4874, 743, 514, 923, 540, 519, 2749, 269, 769, 519, 5907, 3556, 267, 596, 666, 1294, 1239, 593, 519, 1895, 540, 1072, 267, 519, 8244, 540, 2640, 543, 5312, 3676, 563, 6097, 547, 3493, 14280, 26302, 540, 18293, 585, 4317, 4886, 1323, 770, 14901, 681, 752, 13960, 267, 519, 3028, 2636, 7189, 267, 1519, 7522, 32258, 267, 547, 1294, 513, 5542, 609, 519, 1034, 1271, 1239, 827, 513, 3461, 607, 3533, 607, 2009, 543, 1106, 519, 1318, 2126, 12485, 269, 2776, 16227, 267, 782, 713, 1344, 729, 6740, 14384, 267, 538, 513, 1957, 3556, 543, 538, 1585, 6810, 540, 606, 5907, 2564, 2594, 267, 543, 7189, 1185, 547, 3406, 585, 621, 585, 3833, 930, 942, 563, 1103, 1840, 547, 2564, 1239, 593, 2640, 267, 5312, 3676, 267, 519, 3059, 1780, 1636, 3568, 1344, 827, 519, 1126, 779, 13613, 547, 513, 1808, 2564, 9872, 267, 1239, 827, 519, 1126, 779, 11347, 267, 1344, 827, 519, 1153, 610, 9656, 1141, 519, 1126, 4422, 269, 634, 1780, 1636, 849, 10525, 1344, 827, 519, 1126, 779, 1514, 4567, 267, 799, 2306, 621, 2009, 547, 3313, 3606, 1514, 1489, 3800, 267, 607, 1134, 607, 547, 1544, 2564, 18362, 585, 1453, 538, 2352, 1272, 3871, 563, 8005, 814, 1569, 547, 519, 1126, 779, 3059, 1780, 1636, 888, 1103, 1840, 547, 3237, 543, 7189, 540, 1453, 779, 19190, 267, 513, 1126, 779, 3059, 1780, 1636, 568, 2139, 547, 1072, 4600, 538, 519, 3854, 779, 3506, 543, 2186, 1120, 691, 839, 269, 898, 3568, 519, 1034, 909, 3562, 15082, 1239, 267, 799, 568, 8850, 16041, 689, 2228, 2564, 6054, 563, 4692, 1453, 723, 1569, 547, 513, 3059, 1780, 1636, 888, 14399, 896, 476, 1428, 666, 1569, 1072, 1344, 998, 741, 2385, 779, 2272, 593, 519, 1857, 2533, 22045, 267, 1247, 1453, 936, 476, 1428, 666, 1569, 741, 1378, 2272, 269, 0, 1607, 1867, 6212, 593, 519, 4008, 7516, 540, 7486, 5829, 16663, 269, 898, 6663, 547, 6445, 513, 7934, 543, 4434, 513, 811, 13857, 1620, 543, 811, 2500, 14223, 593, 875, 16663, 5540, 2021, 543, 6690, 2713, 609, 7486, 811, 267, 1447, 610, 8335, 547, 2367, 543, 8695, 563, 763, 2164, 540, 713, 16684, 1448, 547, 606, 2799, 4644, 540, 14304, 3872, 15961, 543, 4507, 538, 519, 18375, 5823, 607, 3162, 4000, 1193, 1161, 547, 2569, 711, 1152, 519, 9860, 540, 7486, 543, 15978, 855, 849, 547, 1020, 2318, 15226, 8456, 1851, 1453, 540, 1153, 2469, 2085, 563, 1607, 5618, 6212, 593, 519, 2924, 540, 1453, 630, 2381, 832, 896, 519, 2085, 540, 476, 1240, 1296, 264, 538, 1164, 13867, 2477, 547, 1569, 1072, 2533, 1644, 547, 7486, 6604, 1107, 538, 1880, 4638, 543, 10285, 1072, 2533, 267, 543, 2800, 5786, 2533, 543, 3075, 2126, 2533, 563, 1607, 2689, 6212, 593, 519, 2101, 2188, 602, 5397, 7486, 3968, 543, 7710, 7459, 602, 723, 7152, 7145, 267, 607, 1134, 607, 20515, 1271, 1451, 902, 585, 10872, 1646, 563, 763, 8828, 543, 8109, 4000, 3117, 24832, 585, 16424, 12409, 10866, 630, 306, 3722, 10933, 304, 264, 568, 513, 3060, 540, 476, 1428, 3687, 31559, 540, 4065, 281, 645, 1824, 32272, 267, 15057, 267, 15776, 1054, 334, 267, 5689, 25596, 267, 24381, 527, 3780, 267, 20787, 3711, 1664, 267, 21601, 28992, 267, 1530, 26338, 3559, 956, 267, 3162, 4000, 267, 4210, 1794, 559, 663, 267, 25157, 630, 14611, 1633, 1070, 25157, 630, 313, 11961, 756, 541, 1070, 24063, 267, 2098, 25995, 543, 2098, 328, 454, 29020, 281, 1677, 2689, 519, 3370, 543, 15454, 3332, 585, 1344, 3823, 519, 3790, 543, 1942, 7145, 540, 7459, 6322, 693, 5355, 519, 10304, 540, 610, 874, 753, 543, 7925, 1453, 19962, 547, 7486, 2340, 479, 482, 15978, 538, 1970, 268, 543, 1647, 13867, 2477, 563, 763, 10073, 540, 6519, 7433, 476, 277, 540, 476, 1220, 272, 538, 3162, 4000, 593, 519, 6388, 540, 8537, 2069, 814, 1831, 606, 1271, 24182, 547, 2327, 519, 22098, 540, 519, 2407, 2039, 540, 15226, 2115, 538, 8723, 3506, 563, 1607, 3561, 568, 538, 1614, 2694, 269, 898, 1101, 11828, 519, 476, 275, 929, 29330, 585, 519, 17594, 540, 7486, 3968, 1851, 1453, 282, 538, 824, 1913, 267, 519, 476, 275, 929, 29330, 540, 6751, 307, 6311, 563, 1607, 5618, 26564, 519, 834, 3725, 28717, 580, 528, 908, 4065, 30359, 630, 3633, 306, 4488, 264, 13786, 525, 547, 7486, 543, 15978, 257, 538, 519, 590, 4696, 290, 3148, 20827, 676, 20648, 270, 7419, 32019, 13478, 4696, 290, 10555, 30353, 1282, 519, 1576, 540, 476, 1001, 271, 563, 1607, 568, 513, 1353, 540, 519, 7681, 540, 5925, 543, 8613, 4598, 609, 1114, 3344, 540, 10285, 2623, 543, 609, 1702, 267, 8456, 267, 543, 2623, 538, 4276, 609, 7486, 25266, 269, 0, 19423, 3766, 23035, 568, 950, 513, 1655, 1007, 20974, 816, 32307, 606, 17627, 267, 3335, 3361, 676, 19979, 5214, 7135, 630, 309, 31237, 264, 543, 824, 6464, 1031, 538, 519, 5663, 1184, 269, 1677, 3432, 909, 20974, 816, 1055, 3766, 23035, 267, 835, 666, 1930, 519, 9486, 538, 519, 4055, 547, 1450, 585, 14910, 543, 4894, 1022, 5068, 610, 11183, 602, 949, 581, 29212, 30851, 3330, 269, 898, 568, 849, 1271, 547, 1577, 519, 20974, 816, 2011, 856, 585, 693, 2547, 476, 2190, 3108, 1354, 12008, 593, 621, 607, 713, 786, 948, 17108, 1055, 3766, 23035, 563, 12234, 267, 1210, 513, 10178, 547, 32694, 2011, 1472, 519, 5127, 610, 11093, 23315, 11435, 610, 11256, 14614, 2282, 610, 896, 621, 666, 948, 10110, 966, 31237, 543, 2569, 17627, 2157, 269, 7053, 267, 2834, 12511, 532, 540, 707, 5127, 609, 513, 16777, 5183, 6882, 666, 948, 2312, 856, 7452, 5536, 543, 949, 2087, 14910, 1369, 707, 23103, 1604, 936, 942, 563, 268, 5794, 4934, 519, 20917, 816, 281, 2290, 540, 519, 1034, 2500, 3268, 547, 3432, 909, 1055, 3766, 23035, 568, 547, 2011, 856, 707, 20974, 816, 1354, 1210, 621, 454, 268, 1677, 798, 713, 267, 1491, 621, 856, 540, 922, 11183, 543, 1305, 621, 538, 513, 1134, 268, 1203, 23624, 1858, 585, 693, 2547, 476, 2190, 3108, 267, 23295, 2476, 689, 1463, 7943, 610, 3002, 2959, 454, 268, 2422, 513, 27684, 281, 22034, 513, 10178, 786, 948, 32694, 2011, 1472, 519, 20974, 816, 267, 3432, 532, 909, 1055, 3766, 23035, 676, 12165, 532, 6464, 883, 519, 5790, 1454, 5488, 982, 952, 2451, 4805, 538, 606, 20583, 4055, 454, 268, 9255, 519, 10178, 2673, 2614, 865, 602, 596, 666, 1745, 513, 30089, 950, 7555, 2282, 707, 5127, 543, 1577, 621, 2196, 585, 1896, 3108, 2394, 1022, 30851, 723, 20374, 4625, 454, 268, 28820, 10840, 2659, 20917, 816, 17115, 281, 8617, 12511, 532, 2337, 4894, 5536, 543, 7452, 21746, 799, 666, 3565, 547, 24462, 4947, 689, 707, 20974, 816, 282, 946, 606, 15081, 565, 20712, 13613, 609, 5110, 762, 12086, 593, 1970, 1379, 4259, 547, 2057, 16089, 1022, 811, 5732, 5739, 966, 31237, 630, 14179, 8684, 5214, 7135, 264, 883, 519, 1604, 982, 2556, 1247, 7738, 454, 268, 9255, 2920, 17300, 4077, 19254, 14033, 2659, 16170, 281, 2920, 17300, 23315, 568, 1634, 585, 922, 2702, 547, 10110, 30851, 6923, 2443, 1747, 930, 2282, 707, 5127, 610, 896, 707, 20974, 816, 607, 1776, 1259, 540, 3432, 532, 909, 1055, 3766, 23035, 1184, 1510, 10962, 3606, 6464, 883, 519, 1604, 454, 1692, 1279, 585, 20974, 816, 966, 31237, 547, 1055, 326, 553, 888, 1692, 7043, 6496, 898, 6875, 585, 513, 20917, 816, 547, 17547, 5510, 8566, 23035, 888, 4002, 3328, 267, 621, 3217, 909, 547, 476, 7761, 3108, 585, 513, 20974, 816, 547, 3247, 1055, 3766, 23035, 563, 2080, 568, 1018, 596, 1058, 917, 912, 1892, 5510, 3766, 23035, 568, 519, 1184, 540, 16089, 5732, 13818, 9362, 883, 519, 2011, 689, 1978, 2326, 563, 1892, 3509, 20974, 19843, 2270, 19979, 5214, 7135, 630, 309, 31237, 264, 538, 741, 17371, 6106, 543, 666, 12520, 606, 18473, 17627, 950, 1101, 7938, 571, 5529, 269, 3040, 634, 2179, 540, 942, 2877, 585, 513, 20974, 816, 547, 9096, 1055, 3766, 23035, 7361, 5673, 593, 922, 1570, 543, 2450, 269, 13575, 267, 621, 3217, 1063, 476, 2190, 543, 476, 7761, 3108, 1354, 519, 9329, 26632, 919, 4625, 563, 9989, 645, 1136, 590, 18649, 6435, 2060, 5510, 8566, 23035, 20917, 816, 888, 8133, 267, 11256, 14614, 666, 948, 609, 1055, 3766, 23035, 20974, 19843, 269, 645, 1136, 14614, 2337, 10110, 30851, 676, 16089, 12274, 602, 12622, 547, 17627, 6675, 543, 9243, 1125, 873, 269, 898, 849, 1568, 607, 513, 632, 31121, 6500, 267, 4543, 547, 2569, 1022, 18473, 24462, 689, 519, 20974, 816, 563, 2080, 616, 930, 540, 519, 2081, 11256, 14614, 666, 581, 1031, 547, 948, 609, 1055, 3766, 23035, 281, 3040, 14109, 30257, 5391, 518, 958, 593, 519, 20974, 816, 543, 4734, 621, 585, 1896, 3108, 1354, 12511, 532, 909, 269, 3040, 17186, 3368, 513, 7484, 540, 11256, 14614, 883, 1079, 844, 11301, 630, 273, 20990, 264, 540, 3636, 1216, 538, 513, 10936, 11480, 267, 21199, 1134, 543, 10936, 936, 519, 3003, 2627, 1858, 540, 519, 20974, 816, 563, 32306, 16074, 1354, 530, 31441, 1524, 610, 12511, 532, 909, 269, 3040, 9255, 606, 1930, 4216, 610, 8708, 4904, 609, 11256, 14614, 2673, 547, 707, 5127, 865, 602, 621, 25309, 1022, 29886, 30851, 1247, 596, 3207, 269, 769, 3932, 267, 1210, 11256, 14614, 568, 606, 2500, 1259, 547, 2569, 20974, 816, 1055, 3766, 23035, 543, 1832, 707, 23103, 1159, 2454, 4195, 543, 2973, 2336, 9989, 15350, 674, 27961, 17451, 17547, 5510, 8566, 23035, 888, 8133, 267, 3965, 17371, 666, 3247, 1055, 3766, 23035, 936, 942, 269, 5510, 3766, 23035, 568, 519, 5305, 540, 19979, 5214, 7135, 630, 309, 31237, 264, 602, 1711, 513, 3114, 9329, 538, 519, 2011, 267, 543, 5555, 26632, 919, 269, 3371, 616, 930, 2081, 547, 2569, 1055, 3766, 23035, 689, 3965, 17371, 912, 1892, 14190, 621, 547, 2011, 856, 585, 1896, 2395, 1354, 946, 281, 15350, 17371, 2115, 547, 581, 513, 1600, 856, 865, 602, 966, 31237, 666, 9101, 1354, 596, 1376, 1210, 621, 269, 1411, 1058, 4734, 707, 20974, 816, 610, 10788, 578, 20114, 538, 513, 1134, 5887, 23624, 1858, 585, 693, 2547, 476, 4366, 3108, 1310, 6679, 269, 3040, 2422, 2067, 3435, 281, 7849, 2472, 899, 11256, 14614, 543, 1898, 11041, 666, 948, 10110, 966, 31237, 689, 707, 28945, 543, 1118, 519, 2011, 23906, 615, 5488, 982, 2011, 4805, 563, 9617, 20057, 548, 11256, 14614, 593, 707, 20974, 816, 610, 10788, 578, 543, 1577, 1694, 16074, 267, 1287, 12511, 909, 538, 519, 6640, 609, 606, 20005, 12511, 15777, 609, 606, 16777, 5183, 6882, 7923, 269, 12708, 11041, 971, 607, 32175, 3282, 849, 723, 17627, 10338, 3601, 950, 10936, 539, 5196, 17234, 899, 9212, 543, 10788, 578, 322, 1162, 602, 2097, 883, 3346, 609, 707, 20974, 816, 610, 10788, 578, 2326, 269, 2060, 891, 3268, 3144, 267, 3965, 17371, 786, 5555, 24044, 922, 1055, 3766, 23035, 1184, 15587, 936, 942, 1510, 1022, 2417, 2962, 2877, 676, 519, 3593, 563, 1692, 1684, 1411, 5192, 15642, 4934, 540, 513, 20917, 816, 888, 2414, 4894, 966, 31237, 630, 14157, 8684, 17667, 3281, 2432, 264, 689, 513, 20974, 816, 267, 946, 519, 1739, 3268, 912, 1892, 20764, 30968, 519, 4055, 676, 6679, 9486, 543, 1210, 11655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8442, 3248, 754, 282, 8199, 20479, 912, 8199, 10454, 1101, 476, 1015, 2215, 3645, 2338, 5016, 257, 27146, 3645, 263, 271, 264, 815, 476, 272, 5016, 257, 27146, 3645, 263, 272, 264, 815, 476, 273, 5016, 257, 27146, 3645, 263, 273, 264, 815, 476, 277, 5016, 257, 27146, 3645, 263, 274, 264, 815, 476, 1789, 5016, 257, 27146, 3645, 263, 275, 264, 815, 476, 13975, 5016, 257, 27146, 3645, 263, 276, 264, 815, 476, 23211, 271, 5016, 257, 27146, 3645, 263, 277, 264, 815, 476, 4968, 1789, 5016, 257, 27146, 3645, 263, 278, 264, 815, 476, 27944, 27944, 5016, 257, 27146, 3645, 263, 279, 264, 815, 476, 280, 7597, 280, 7597, 271, 5016, 257, 27146, 3645, 263, 280, 264, 815, 476, 23417, 6021, 273, 279, 3583, 5016, 257, 27146, 3645, 263, 1015, 264, 814, 476, 1015, 9704, 5016, 257, 27146, 3645, 263, 1911, 264, 814, 476, 13136, 9704, 5016, 257, 27146, 3645, 263, 1911, 271, 264, 814, 476, 26552, 274, 9704, 5016, 257, 27146, 3645, 263, 1911, 876, 264, 814, 476, 28526, 4391, 9704, 5016, 257, 27146, 3645, 263, 1911, 1822, 264, 814, 476, 6321, 274, 280, 2641, 9704, 5016, 7884, 1012, 4223, 11490, 320, 270, 310, 6504, 1090, 5678, 692, 763, 1101, 476, 1015, 2215, 3645, 2338, 616, 1384, 3499, 293, 1245, 8266, 314, 307, 1307, 267, 476, 272, 267, 11788, 7711, 16186, 7711, 476, 280, 2639, 8199, 20479, 912, 319, 346, 272, 267, 273, 267, 277, 267, 1789, 267, 13975, 267, 23211, 271, 267, 4968, 1789, 267, 27944, 27944, 267, 280, 7597, 280, 7597, 271, 267, 23417, 6021, 273, 279, 3583, 348, 26384, 5804, 519, 1101, 2929, 22136, 1384, 3499, 1440, 1307, 815, 11788, 7711, 16186, 314, 1015, 317, 277, 30092, 7884, 3698, 710, 519, 2215, 3645, 1384, 3499, 27146, 3645, 19559, 318, 13912, 284, 8648, 7711, 287, 22136, 314, 314, 282, 282, 333, 27663, 7884, 763, 13080, 540, 5697, 2215, 3645, 2338, 616, 1384, 3499, 294, 5090, 287, 8368, 314, 346, 257, 27146, 3645, 263, 1015, 317, 257, 2999, 285, 1677, 21803, 19559, 316, 2999, 285, 834, 264, 814, 834, 2676, 257, 9704, 538, 834, 283, 285, 2414, 21803, 287, 339, 574, 532, 283, 285, 257, 7643, 257, 9574, 2715, 333, 267, 277, 348, 2639, 8199, 20479, 912, 3499, 27146, 3645, 263, 1015, 317, 272, 264, 814, 476, 1015, 9704, 538, 476, 271, 269, 1822, 271, 4649, 7643, 454, 27146, 3645, 263, 1015, 317, 273, 264, 814, 476, 13136, 9704, 538, 476, 271, 269, 1822, 5881, 7643, 454, 27146, 3645, 263, 1015, 317, 274, 264, 814, 476, 26552, 274, 9704, 538, 476, 271, 269, 1822, 28883, 7643, 454, 27146, 3645, 263, 1015, 317, 275, 264, 814, 476, 28526, 4391, 9704, 538, 476, 271, 269, 24879, 278, 4817, 7643, 454, 27146, 3645, 263, 1015, 317, 276, 264, 814, 476, 6321, 274, 280, 2641, 9704, 538, 476, 271, 269, 5881, 277, 4391, 272, 7643, 454, 27146, 3645, 263, 1015, 317, 277, 264, 814, 476, 6858, 273, 18231, 280, 9704, 538, 476, 272, 269, 27840, 5881, 7643, 454, 7884, 1012, 19162, 548, 692, 3499, 331, 3869, 834, 18905, 5334, 10079, 269, 276, 322, 5016, 258, 1280, 476, 272, 2929, 22136, 454, 258, 703, 1130, 815, 476, 15150, 5952, 279, 6858, 3248, 842, 1130, 815, 476, 15782, 9032, 275, 274, 16963, 842, 1376, 815, 1984, 529, 3890, 3248, 842, 1496, 265, 316, 22136, 815, 11788, 306, 10079, 15311, 1440, 1307, 263, 1998, 11850, 2745, 325, 2891, 260, 323, 22136, 630, 260, 323, 264, 538, 4939, 323, 916, 14826, 2580, 3897, 263, 1440, 1307, 1070, 22136, 314, 323, 574, 263, 1440, 1307, 9984, 272, 3910, 1984, 529, 3890, 910, 1376, 32007, 842, 2215, 3645, 17301, 562, 264, 13634, 604, 630, 333, 2652, 476, 271, 264, 2132, 476, 272, 3248, 604, 630, 333, 2652, 476, 272, 264, 2132, 476, 273, 3248, 842, 642, 815, 476, 273, 3248, 1721, 630, 842, 1775, 815, 476, 273, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 13634, 341, 2608, 284, 22136, 5157, 268, 273, 30092, 8679, 8873, 642, 3248, 10926, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 476, 1015, 282, 1775, 10030, 264, 13634, 2745, 325, 2891, 27146, 3645, 263, 260, 323, 264, 815, 4939, 323, 14826, 2580, 1775, 267, 2215, 3645, 9217, 4297, 3248, 10926, 1721, 630, 842, 1775, 815, 476, 272, 282, 1775, 2999, 476, 277, 282, 1775, 10030, 264, 13634, 11034, 815, 1984, 529, 3890, 3248, 842, 533, 815, 476, 1015, 1262, 328, 3248, 842, 533, 333, 815, 2215, 3645, 9638, 32007, 842, 9704, 815, 6989, 263, 13043, 15311, 8421, 1015, 9638, 333, 4297, 1341, 476, 272, 3248, 2745, 325, 2891, 27146, 3645, 263, 260, 323, 264, 814, 4939, 323, 9704, 267, 538, 4939, 323, 916, 14826, 2580, 533, 267, 9704, 267, 1984, 529, 3890, 910, 1376, 11850, 8679, 8199, 20479, 912, 3499, 335, 668, 696, 15478, 12183, 548, 2215, 3645, 269, 276, 322, 454, 1911, 9826, 22136, 630, 15782, 9032, 275, 274, 264, 538, 476, 8146, 279, 916, 454, 27146, 3645, 263, 271, 264, 815, 476, 272, 454, 27146, 3645, 263, 272, 264, 815, 476, 273, 454, 27146, 3645, 263, 273, 264, 815, 476, 277, 454, 27146, 3645, 263, 274, 264, 815, 476, 1789, 454, 27146, 3645, 263, 275, 264, 815, 476, 13975, 454, 27146, 3645, 263, 276, 264, 815, 476, 23211, 271, 454, 27146, 3645, 263, 277, 264, 815, 476, 4968, 1789, 454, 27146, 3645, 263, 278, 264, 815, 476, 27944, 27944, 454, 27146, 3645, 263, 279, 264, 815, 476, 280, 7597, 280, 7597, 271, 454, 27146, 3645, 263, 280, 264, 815, 476, 23417, 6021, 273, 279, 3583, 454, 27146, 3645, 263, 1015, 264, 814, 476, 1015, 9704, 267, 538, 476, 275, 916, 454, 27146, 3645, 263, 1911, 264, 814, 476, 13136, 9704, 267, 538, 476, 273, 916, 454, 27146, 3645, 263, 1911, 271, 264, 814, 476, 26552, 274, 9704, 267, 538, 476, 274, 916, 454, 27146, 3645, 263, 1911, 876, 264, 814, 476, 28526, 4391, 9704, 267, 538, 476, 12553, 916, 454, 27146, 3645, 263, 1911, 1822, 264, 814, 476, 6321, 274, 280, 2641, 9704, 267, 538, 476, 11277, 6860, 916, 7884, 1012, 715, 574, 692, 299, 3869, 281, 536, 793, 636, 692, 2171, 946, 513, 521, 10079, 540, 8210, 987, 739, 1156, 525, 547, 5352, 519, 22136, 267, 855, 609, 1152, 519, 9642, 2338, 547, 2569, 3965, 6165, 269, 4634, 585, 835, 6634, 22136, 267, 519, 11056, 942, 568, 30050, 630, 271, 269, 1321, 338, 2020, 2414, 12337, 519, 2215, 3645, 2338, 267, 649, 946, 606, 12055, 1807, 269, 13437, 568, 1434, 609, 476, 272, 269, 272, 338, 585, 2215, 3645, 263, 1911, 876, 1040, 1809, 585, 835, 2929, 267, 713, 3217, 1454, 811, 942, 780, 3499, 5814, 2053, 692, 2280, 512, 271, 815, 524, 30298, 11742, 10797, 19399, 19399, 19399, 2971, 454, 258, 12706, 1592, 540, 22136, 780, 6247, 454, 301, 7468, 1307, 815, 476, 272, 318, 1822, 318, 1822, 454, 301, 815, 476, 1626, 2608, 715, 7468, 1307, 692, 12534, 521, 10079, 281, 5044, 27007, 301, 910, 476, 272, 264, 2820, 476, 273, 1341, 476, 272, 267, 536, 944, 316, 567, 1948, 8771, 630, 29239, 264, 1797, 6305, 780, 1721, 1775, 267, 12432, 538, 521, 10079, 912, 604, 711, 12432, 912, 2280, 562, 815, 476, 273, 2608, 1775, 1341, 476, 274, 454, 1721, 737, 538, 1293, 1575, 3799, 2608, 562, 267, 715, 267, 476, 273, 2608, 562, 2187, 338, 10079, 27007, 330, 910, 476, 274, 264, 2820, 476, 273, 316, 815, 3020, 692, 12534, 22136, 815, 7711, 314, 273, 2639, 1721, 1775, 267, 12432, 538, 521, 10079, 912, 604, 711, 12432, 912, 1440, 1307, 14491, 476, 273, 2608, 1775, 1341, 476, 274, 692, 604, 22136, 269, 6352, 2999, 715, 7468, 1307, 912, 10181, 834, 8253, 2614, 22136, 269, 7490, 267, 2333, 1871, 540, 715, 3010, 19399, 19399, 19399, 2971, 454, 258, 30770, 2215, 3645, 780, 5814, 1193, 8971, 454, 5814, 536, 793, 636, 692, 6247, 7831, 2414, 19530, 815, 715, 7468, 1307, 692, 3438, 1807, 2215, 3645, 338, 263, 2567, 2271, 21591, 1012, 962, 1752, 20422, 2215, 3645, 2338, 563, 12534, 2215, 815, 1007, 4504, 263, 272, 994, 344, 1752, 2215, 454, 1721, 533, 538, 22136, 912, 27146, 2608, 284, 533, 454, 344, 1752, 2215, 692, 12534, 562, 815, 476, 271, 454, 1721, 2215, 538, 2215, 3645, 338, 10031, 3663, 334, 1299, 257, 27146, 3645, 20719, 333, 16585, 815, 2715, 27146, 348, 4840, 4532, 562, 454, 604, 562, 2652, 476, 1015, 281, 2736, 692, 333, 815, 476, 271, 454, 12534, 1985, 2414, 19530, 815, 476, 1015, 454, 1721, 2215, 538, 2215, 3645, 338, 10031, 604, 562, 2652, 1985, 2414, 19530, 912, 3663, 334, 1299, 257, 27146, 3645, 20719, 333, 16585, 814, 2715, 7268, 259, 27146, 1040, 6352, 348, 9704, 4840, 604, 1985, 2414, 19530, 2652, 7831, 2414, 19530, 281, 2736, 454, 10113, 2414, 19530, 2608, 284, 476, 1015, 454, 4532, 562, 692, 3663, 334, 834, 4840, 3663, 334, 1299, 257, 13707, 942, 281, 2715, 322, 30298, 11742, 3890, 910, 512, 271, 15545, 273, 325, 348, 521, 4840, 8199, 20479, 912, 3499, 27146, 3645, 263, 271, 264, 815, 476, 272, 454, 27146, 3645, 263, 272, 264, 815, 476, 273, 454, 27146, 3645, 263, 273, 264, 815, 476, 277, 454, 27146, 3645, 263, 274, 264, 815, 476, 1789, 454, 27146, 3645, 263, 275, 264, 815, 476, 13975, 454, 27146, 3645, 263, 276, 264, 815, 476, 23211, 271, 454, 27146, 3645, 263, 277, 264, 815, 476, 4968, 1789, 454, 27146, 3645, 263, 278, 264, 815, 476, 27944, 27944, 454, 27146, 3645, 263, 279, 264, 815, 476, 280, 7597, 280, 7597, 271, 454, 27146, 3645, 263, 280, 264, 815, 476, 23417, 6021, 273, 279, 3583, 454, 27146, 3645, 263, 1015, 264, 814, 476, 1015, 9704, 454, 27146, 3645, 263, 1911, 264, 814, 476, 13136, 9704, 454, 27146, 3645, 263, 1911, 271, 264, 814, 476, 26552, 274, 9704, 454, 27146, 3645, 263, 1911, 876, 264, 814, 476, 28526, 4391, 9704, 454, 27146, 3645, 263, 1911, 1822, 264, 814, 476, 6321, 274, 280, 2641, 9704, 454, 27146, 3645, 263, 1911, 1822, 271, 264, 814, 476, 6858, 273, 18231, 280, 9704, 692, 13707, 942, 281, 476, 14096, 269, 4792, 521, 7884, 9573, 308, 281, 27311, 27562, 264, 11759, 24867, 300, 264, 1775, 276, 268, 279, 1839, 271, 308, 17765, 7711, 476, 272, 269, 2568, 294, 13703, 267, 476, 18605, 278, 631, 13703, 609, 476, 279, 16412, 20433, 780, 4415, 1896, 16060, 267, 649, 3112, 946, 606, 12055, 1807, 15042, 269, 1280, 715, 16060, 630, 32305, 1070, 649, 8237, 519, 1592, 540, 22136, 538, 715, 1016, 29812, 543, 1577, 1142, 11832, 12337, 513, 1587, 269, 1284, 2165, 3729, 609, 513, 3803, 8691, 540, 519, 715, 2164, 269, 2060, 2185, 4600, 267, 649, 1205, 519, 1267, 538, 827, 476, 1015, 7643, 269, 2060, 5216, 4600, 267, 649, 1205, 621, 538, 827, 2947, 7643, 780, 9616, 602, 547, 1205, 11056, 942, 267, 649, 666, 1100, 3476, 946, 968, 322, 30298, 11742, 892, 607, 621, 7024, 1152, 519, 17765, 942, 1031, 676, 519, 1292, 8142, 269, 1924, 267, 649, 946, 968, 1326, 12507, 11561, 830, 892, 3079, 780, 3499, 5814, 31901, 270, 3000, 582, 1307, 692, 2280, 512, 271, 815, 1205, 12507, 11561, 830, 10797, 19399, 19399, 19399, 2971, 454, 258, 12706, 1592, 540, 22136, 780, 6247, 454, 301, 7468, 1307, 815, 476, 272, 318, 1822, 318, 1822, 454, 301, 815, 476, 1626, 2608, 715, 7468, 1307, 692, 12534, 521, 10079, 281, 5044, 27007, 301, 910, 476, 272, 264, 2820, 476, 273, 1341, 476, 272, 267, 536, 944, 316, 567, 1948, 8771, 630, 29239, 264, 1797, 6305, 780, 1721, 1775, 267, 12432, 538, 521, 10079, 912, 604, 711, 12432, 912, 2280, 562, 815, 476, 273, 2608, 1775, 1341, 476, 274, 454, 1721, 737, 538, 1293, 1575, 3799, 2608, 562, 267, 715, 267, 476, 273, 2608, 562, 2187, 338, 10079, 27007, 330, 910, 476, 274, 264, 2820, 476, 273, 316, 815, 3020, 692, 12534, 22136, 815, 7711, 314, 273, 2639, 1721, 1775, 267, 12432, 538, 521, 10079, 912, 604, 711, 12432, 912, 1440, 1307, 14491, 476, 273, 2608, 1775, 1341, 476, 274, 692, 604, 22136, 269, 6352, 2999, 715, 7468, 1307, 912, 10181, 834, 8253, 2614, 22136, 269, 7490, 267, 2333, 1871, 540, 715, 3010, 19399, 19399, 19399, 2971, 454, 258, 30770, 2215, 3645, 780, 5814, 536, 793, 636, 692, 6247, 715, 13480, 619, 815, 476, 279, 692, 2889, 322, 12337, 29410, 5416, 281, 1930, 26161, 27776, 316, 2567, 2271, 21591, 14310, 815, 1007, 4504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5286, 15126, 3287, 994, 13872, 1038, 12693, 26726, 4494, 476, 272, 454, 1038, 1948, 5410, 9186, 2165, 454, 1038, 2473, 815, 5286, 6910, 11583, 267, 476, 272, 994, 1038, 1948, 28644, 1780, 630, 15035, 994, 1038, 670, 272, 815, 5286, 269, 3901, 332, 592, 4311, 15030, 289, 327, 272, 267, 2473, 994, 1038, 1948, 2920, 10474, 1599, 454, 1038, 2098, 272, 815, 1582, 269, 716, 263, 295, 272, 994, 13872, 1038, 12693, 26726, 4494, 476, 273, 454, 1038, 1948, 5410, 9186, 2165, 454, 1038, 2098, 272, 815, 5286, 6910, 263, 313, 272, 267, 476, 272, 994, 1038, 1948, 28644, 1780, 630, 15035, 994, 1038, 670, 273, 815, 5286, 269, 3901, 332, 592, 4311, 15030, 289, 327, 273, 267, 2098, 272, 994, 1038, 1948, 2920, 10474, 1599, 454, 1038, 2098, 273, 815, 1582, 269, 716, 263, 295, 273, 994, 13872, 1038, 12693, 19243, 4494, 454, 1038, 1948, 5410, 9186, 2165, 454, 1038, 2098, 273, 815, 5286, 6910, 263, 313, 273, 267, 476, 272, 994, 1038, 1948, 28644, 1780, 630, 15035, 994, 1038, 962, 815, 5286, 269, 3901, 332, 592, 4311, 15030, 22517, 267, 2098, 273, 994, 1038, 1948, 12971, 11852, 1599, 28329, 1038, 1948, 21414, 519, 12045, 2474, 454, 1038, 667, 272, 815, 962, 910, 6003, 454, 1038, 667, 273, 815, 2098, 273, 454, 1038, 667, 274, 815, 1582, 15030, 22517, 18020, 18737, 272, 2639, 1038, 667, 275, 815, 1582, 269, 716, 318, 1457, 263, 295, 273, 994, 1038, 667, 276, 815, 2098, 272, 454, 1038, 667, 277, 815, 1582, 15030, 289, 327, 273, 18020, 18737, 272, 2639, 1038, 667, 278, 815, 1582, 269, 716, 318, 1457, 263, 295, 272, 994, 1038, 667, 279, 815, 2473, 28329, 1038, 1948, 23771, 18438, 454, 1038, 661, 334, 815, 667, 272, 454, 1038, 661, 327, 273, 815, 5286, 269, 3901, 332, 592, 27887, 334, 267, 667, 274, 264, 2608, 667, 275, 454, 1038, 661, 327, 272, 815, 5286, 269, 3901, 332, 592, 27887, 327, 273, 267, 667, 277, 264, 2608, 667, 278, 28329, 13872, 1038, 1948, 14216, 29719, 585, 2597, 14290, 454, 1038, 546, 310, 22517, 815, 5286, 269, 3901, 332, 592, 27887, 334, 269, 31412, 8987, 272, 267, 272, 1070, 667, 273, 269, 31412, 263, 272, 16427, 272, 4917, 1038, 546, 310, 289, 327, 273, 815, 5286, 269, 3901, 332, 592, 27887, 327, 273, 269, 31412, 8987, 272, 267, 272, 1070, 667, 276, 269, 31412, 263, 272, 16427, 272, 4917, 1038, 546, 310, 289, 327, 272, 815, 5286, 269, 3901, 332, 592, 27887, 327, 272, 269, 31412, 8987, 272, 267, 272, 1070, 667, 279, 269, 31412, 263, 272, 16427, 272, 4917, 13872, 1038, 1948, 22352, 519, 12035, 454, 1038, 1582, 15030, 289, 327, 272, 20699, 561, 337, 2608, 546, 310, 289, 327, 272, 454, 1038, 1582, 15030, 289, 327, 273, 20699, 561, 337, 2608, 546, 310, 289, 327, 273, 454, 1038, 1582, 15030, 22517, 20699, 561, 337, 2608, 546, 310, 22517, 28329, 1038, 1948, 21414, 2530, 1599, 454, 1038, 2530, 815, 630, 312, 910, 6003, 264, 1262, 273, 270, 273, 28329, 1038, 2132, 2530, 22562, 825, 1219, 4729, 318, 30135, 4311, 2187, 8931, 1038, 4453, 267, 4949, 338, 815, 12301, 16553, 30831, 263, 274, 267, 476, 272, 267, 4453, 21653, 14352, 1321, 267, 277, 4917, 1038, 4949, 338, 314, 271, 4940, 7290, 4311, 15030, 289, 327, 272, 269, 29788, 1084, 19572, 476, 736, 994, 1038, 4949, 338, 314, 272, 4940, 7290, 4311, 15030, 289, 327, 273, 269, 29788, 1084, 19572, 476, 2004, 994, 1038, 4949, 338, 314, 273, 4940, 7290, 4311, 15030, 22517, 269, 29788, 1084, 19572, 476, 736, 994, 1038, 12301, 269, 5586, 754, 4590, 1038, 12301, 26942, 4590, 1038, 12301, 20481, 10797, 2162, 24315, 4456, 4953, 8991, 454, 301, 328, 815, 476, 272, 1948, 7089, 540, 11378, 454, 301, 327, 272, 815, 476, 1015, 1948, 7089, 540, 6456, 11409, 630, 331, 9707, 476, 272, 994, 301, 327, 273, 815, 476, 1015, 1948, 7089, 540, 6456, 11409, 630, 331, 9707, 476, 273, 994, 5591, 815, 476, 272, 1948, 7089, 540, 17016, 692, 2162, 19461, 1125, 3060, 454, 6339, 815, 8416, 18217, 328, 267, 715, 327, 272, 267, 715, 327, 273, 267, 3143, 2020, 258, 7457, 519, 1362, 2818, 454, 2745, 3488, 272, 560, 6456, 4494, 649, 580, 628, 5119, 3337, 281, 3299, 2121, 15030, 289, 327, 272, 17482, 994, 2745, 3488, 273, 526, 6456, 4494, 649, 580, 628, 5119, 3337, 281, 3299, 2121, 15030, 289, 327, 273, 17482, 994, 2745, 3488, 20479, 4494, 649, 580, 628, 5119, 3337, 281, 3299, 2121, 15030, 22517, 17482, 2020, 258, 18140, 12035, 454, 10823, 25379, 3488, 718, 5073, 6339, 19502, 318, 30135, 10797, 258, 260, 260, 11123, 310, 19181, 623, 19798, 630, 29592, 2866, 2020, 258, 16294, 519, 1535, 6152, 454, 343, 318, 14683, 637, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 476, 272, 267, 476, 1911, 271, 2020, 258, 21414, 519, 3977, 585, 1142, 3403, 630, 10472, 666, 581, 2944, 607, 513, 16801, 267, 855, 585, 1631, 1577, 781, 798, 476, 272, 3403, 693, 513, 942, 994, 30976, 5332, 564, 318, 16059, 815, 11713, 1721, 1535, 538, 1535, 318, 14683, 637, 912, 825, 2121, 318, 719, 815, 2121, 269, 3453, 3287, 994, 825, 3355, 5332, 564, 318, 16059, 6910, 3799, 564, 318, 719, 994, 30976, 5332, 564, 318, 16059, 815, 5286, 15126, 263, 30976, 5332, 564, 318, 16059, 994, 8931, 258, 2107, 538, 1175, 476, 272, 1899, 540, 9226, 545, 3009, 256, 2336, 30976, 5332, 564, 318, 16059, 815, 5286, 15126, 8443, 6339, 269, 3453, 3287, 264, 585, 1535, 538, 1535, 318, 14683, 637, 20285, 2162, 18140, 454, 10823, 25379, 3488, 718, 5073, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1321, 267, 279, 4917, 343, 318, 14683, 637, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 272, 267, 1911, 271, 994, 10823, 19502, 3287, 318, 14683, 637, 267, 4874, 31200, 3287, 318, 14683, 637, 267, 12498, 4671, 4902, 1070, 2681, 8782, 321, 3299, 561, 338, 8782, 734, 3299, 6003, 8782, 12148, 1239, 2203, 5073, 10823, 19502, 3287, 17601, 267, 586, 17601, 267, 2681, 8782, 337, 3299, 561, 338, 8782, 3299, 15262, 284, 8339, 3299, 6003, 8782, 307, 1778, 1239, 2798, 5073, 10823, 19502, 3287, 318, 14683, 637, 267, 3355, 5332, 564, 318, 16059, 267, 2681, 8782, 326, 3299, 561, 338, 8782, 734, 3299, 6003, 8782, 15187, 1740, 3977, 630, 12690, 12035, 264, 5073, 10823, 11859, 16932, 3488, 343, 5073, 10823, 269, 29786, 3488, 344, 5073, 10823, 26942, 4590, 10823, 269, 5586, 754, 4590, 10823, 6745, 697, 9078, 599, 719, 4590, 10823, 20481, 10797, 258, 260, 260, 570, 6938, 2562, 5058, 692, 11133, 318, 788, 5255, 338, 815, 476, 1911, 454, 331, 337, 815, 476, 271, 269, 272, 454, 523, 318, 20657, 599, 815, 476, 271, 454, 331, 337, 6958, 1400, 815, 476, 271, 269, 4962, 454, 331, 337, 318, 20657, 599, 815, 630, 331, 337, 6958, 1400, 1315, 561, 337, 264, 1262, 263, 272, 1315, 1003, 318, 788, 5255, 338, 2020, 30221, 9078, 1601, 318, 8421, 815, 11713, 11687, 9078, 1601, 318, 8421, 815, 11713, 1721, 1003, 318, 788, 538, 2039, 16325, 318, 788, 5255, 338, 2187, 825, 1948, 4804, 2557, 9178, 454, 825, 952, 679, 318, 20657, 599, 912, 1038, 561, 337, 2608, 284, 561, 337, 318, 20657, 599, 454, 825, 1948, 21541, 2582, 22184, 630, 338, 2217, 676, 3732, 267, 1100, 16801, 585, 1631, 994, 825, 5721, 9078, 1601, 318, 11355, 815, 1496, 6339, 269, 26303, 3287, 267, 586, 267, 561, 337, 264, 585, 1535, 267, 586, 538, 23407, 3287, 17601, 267, 586, 17601, 22708, 825, 1285, 326, 17601, 9078, 1601, 815, 5286, 32557, 6025, 1778, 9078, 1601, 318, 11355, 994, 825, 1948, 4530, 3060, 454, 825, 586, 15305, 318, 652, 815, 5286, 15126, 8443, 6339, 269, 3453, 3287, 264, 585, 1535, 538, 1535, 15305, 7481, 825, 1285, 326, 15305, 9078, 1601, 815, 5286, 32557, 9230, 344, 15305, 318, 652, 910, 586, 15305, 264, 1262, 273, 270, 273, 994, 825, 1948, 8298, 454, 825, 5721, 9078, 1601, 318, 8421, 6910, 263, 822, 326, 17601, 9078, 1601, 994, 825, 1449, 9078, 1601, 318, 8421, 6910, 263, 822, 326, 15305, 9078, 1601, 994, 825, 1820, 3488, 22977, 5255, 4939, 323, 910, 561, 337, 281, 4939, 269, 276, 325, 910, 21541, 2530, 281, 4939, 269, 276, 325, 910, 4530, 2530, 281, 4939, 269, 276, 325, 262, 4939, 630, 11133, 318, 788, 1341, 476, 272, 267, 561, 337, 267, 1285, 326, 17601, 9078, 1601, 267, 1285, 326, 15305, 9078, 1601, 11723, 258, 18140, 9271, 454, 10823, 25379, 3488, 718, 5073, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1321, 267, 279, 4917, 10823, 269, 9895, 559, 9609, 6025, 1778, 9078, 1601, 318, 8421, 267, 6003, 8782, 307, 1778, 2530, 5073, 10823, 269, 9895, 559, 9609, 6025, 652, 9078, 1601, 318, 8421, 267, 6003, 8782, 14818, 2530, 5073, 10823, 11859, 16932, 3488, 22977, 5255, 5073, 10823, 269, 29786, 3488, 299, 1601, 5073, 10823, 26942, 4590, 10823, 269, 5586, 754, 4590, 10823, 6745, 697, 9078, 599, 719, 4590, 10823, 20481, 10797, 258, 18140, 12035, 1310, 2866, 454, 6339, 19502, 318, 30135, 30800, 258, 260, 260, 11123, 310, 19181, 623, 19798, 630, 12898, 2866, 2020, 6339, 318, 16059, 815, 5286, 15126, 8443, 6339, 269, 3453, 3287, 264, 585, 1535, 538, 1535, 318, 14683, 637, 20285, 2162, 18140, 454, 10823, 25379, 3488, 718, 5073, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1321, 267, 279, 4917, 343, 318, 14683, 637, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 272, 267, 1911, 271, 994, 10823, 19502, 3287, 318, 14683, 637, 267, 4874, 31200, 3287, 318, 14683, 637, 267, 12498, 4671, 4902, 1070, 2681, 8782, 321, 3299, 561, 338, 8782, 734, 3299, 6003, 8782, 12148, 1239, 2203, 5073, 10823, 19502, 3287, 17601, 267, 586, 17601, 267, 2681, 8782, 337, 3299, 561, 338, 8782, 3299, 15262, 284, 8339, 3299, 6003, 8782, 307, 1778, 1239, 2798, 5073, 10823, 19502, 3287, 318, 14683, 637, 267, 2121, 318, 16059, 267, 2681, 8782, 326, 3299, 561, 338, 8782, 734, 3299, 6003, 8782, 15187, 1740, 3977, 630, 10177, 1441, 12035, 264, 5073, 10823, 11859, 16932, 3488, 343, 5073, 10823, 269, 29786, 3488, 344, 5073, 10823, 26942, 4590, 10823, 269, 5586, 754, 4590, 10823, 6745, 697, 9078, 599, 719, 4590, 10823, 20481, 30800, 258, 260, 260, 21302, 957, 328, 990, 725, 692, 343, 272, 815, 476, 271, 269, 272, 454, 344, 272, 267, 1990, 272, 815, 2121, 269, 3453, 3287, 272, 267, 3606, 318, 719, 18989, 994, 343, 273, 815, 476, 271, 269, 280, 454, 344, 273, 267, 1990, 273, 815, 2121, 269, 3453, 3287, 273, 267, 3606, 318, 719, 18989, 994, 343, 274, 815, 476, 273, 269, 276, 454, 344, 274, 267, 1990, 274, 815, 2121, 269, 3453, 3287, 274, 267, 3606, 318, 719, 18989, 9239, 14808, 267, 4949, 338, 815, 12301, 16553, 30831, 263, 274, 267, 476, 272, 267, 4453, 21653, 14352, 1321, 267, 277, 4917, 1314, 338, 314, 271, 4940, 980, 18750, 272, 994, 1314, 338, 314, 271, 4940, 3553, 21234, 3488, 8310, 4494, 1437, 725, 585, 3403, 1535, 284, 10065, 273, 325, 262, 4939, 1535, 272, 994, 1314, 338, 314, 272, 4940, 980, 18750, 273, 994, 1314, 338, 314, 272, 4940, 3553, 21234, 3488, 8310, 4494, 1437, 725, 585, 3403, 1535, 284, 10065, 273, 325, 262, 4939, 1535, 273, 994, 1314, 338, 314, 273, 4940, 980, 18750, 274, 994, 1314, 338, 314, 273, 4940, 3553, 21234, 3488, 8310, 4494, 1437, 725, 585, 3403, 1535, 284, 10065, 273, 325, 262, 4939, 1535, 274, 994, 10823, 6745, 697, 9078, 599, 719, 4590, 10823, 20481, 30800, 0, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 4183, 5332, 5436, 1125, 1104, 27661, 5228, 13506, 5327, 1417, 1104, 27661, 5228, 3339, 318, 18091, 333, 1104, 2608, 692, 258, 815, 13117, 4499, 3487, 476, 272, 281, 3171, 1155, 16453, 1436, 815, 13117, 4499, 692, 258, 1879, 2934, 8428, 676, 9753, 540, 9588, 267, 1101, 7900, 4183, 18440, 666, 1118, 13506, 16350, 27721, 454, 258, 1454, 811, 3533, 780, 11907, 815, 19073, 18667, 32269, 3488, 1410, 272, 11907, 273, 17902, 3299, 694, 335, 284, 3299, 3299, 20927, 22561, 267, 4408, 284, 9131, 21653, 3299, 1412, 5523, 7741, 3299, 1412, 23748, 262, 7481, 258, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 8807, 9347, 6185, 1092, 20988, 262, 11417, 344, 815, 1239, 269, 11161, 11468, 16427, 272, 316, 1948, 2999, 5035, 1412, 31596, 269, 526, 6783, 262, 11417, 344, 815, 586, 269, 31412, 263, 8987, 272, 267, 272, 4917, 311, 815, 1239, 269, 559 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1305, 1851, 513, 5251, 12183, 24887, 968, 18661, 779, 1378, 2197, 6100, 20000, 998, 519, 3552, 29278, 540, 519, 31920, 667, 2297, 267, 16069, 693, 519, 8498, 540, 8316, 525, 267, 538, 654, 839, 2917, 23014, 14860, 269, 3371, 267, 519, 667, 2297, 13474, 2515, 7467, 28420, 6917, 543, 8498, 1272, 1305, 827, 519, 654, 839, 2917, 23014, 31201, 2044, 267, 1753, 540, 519, 4583, 654, 839, 2917, 23014, 10381, 269, 4258, 3150, 1818, 3459, 538, 519, 1858, 607, 2038, 607, 476, 12893, 271, 267, 950, 3943, 595, 3563, 857, 534, 26112, 12306, 538, 519, 546, 1446, 269, 634, 10683, 5170, 547, 3132, 519, 10058, 543, 2442, 10381, 267, 543, 741, 3896, 8843, 811, 1344, 593, 741, 4277, 1686, 563, 763, 3345, 3840, 7720, 832, 568, 513, 3084, 6288, 5627, 835, 540, 519, 4102, 20073, 525, 540, 646, 1430, 544, 3233, 1633, 269, 22067, 4832, 267, 13711, 5810, 24095, 519, 3618, 267, 15198, 607, 2484, 607, 519, 3750, 666, 1294, 269, 1809, 519, 4779, 832, 4431, 547, 1142, 4005, 267, 2870, 606, 11200, 532, 267, 9602, 12416, 602, 581, 342, 9662, 782, 945, 3643, 269, 634, 4583, 3345, 3840, 7720, 832, 9252, 5721, 2488, 10875, 642, 626, 553, 269, 1306, 519, 2823, 540, 18724, 2421, 17379, 538, 519, 476, 1240, 628, 2540, 267, 519, 18724, 2421, 543, 17292, 1359, 12565, 1811, 729, 3710, 547, 1930, 909, 6402, 1063, 891, 14252, 563, 763, 5721, 12599, 689, 17292, 1359, 543, 2306, 513, 3247, 538, 519, 6263, 8498, 540, 3619, 987, 1633, 269, 901, 4884, 568, 519, 4259, 540, 14070, 22707, 839, 7615, 689, 519, 2442, 8613, 3126, 9839, 18566, 269, 1411, 1522, 21028, 519, 2048, 288, 573, 839, 7615, 1488, 916, 8730, 2048, 9928, 23774, 338, 12275, 720, 8730, 519, 2022, 5604, 543, 824, 4609, 607, 596, 32603, 1472, 713, 2370, 8498, 269, 9701, 596, 581, 4743, 17615, 267, 6723, 5153, 2380, 517, 779, 3312, 16749, 1899, 540, 476, 8146, 277, 568, 1631, 519, 3135, 540, 513, 3802, 547, 717, 4592, 23992, 269, 2107, 267, 596, 1522, 4782, 547, 2212, 585, 519, 5032, 267, 547, 519, 17175, 28120, 779, 32431, 7345, 547, 3406, 585, 15455, 538, 519, 5070, 563, 763, 31920, 654, 9529, 616, 513, 3376, 524, 29266, 540, 12902, 25879, 15113, 543, 23898, 281, 796, 4944, 334, 6150, 29278, 269, 634, 5251, 267, 4657, 2066, 519, 12405, 267, 568, 519, 1641, 540, 1082, 10367, 676, 3703, 7376, 6424, 670, 1442, 2284, 563, 2419, 27570, 7723, 3217, 922, 2012, 689, 519, 1804, 32498, 856, 322, 1886, 538, 519, 8498, 1634, 607, 519, 2048, 2419, 4575, 12942, 9957, 2290, 540, 519, 840, 1777, 5006, 14252, 538, 13573, 267, 543, 5310, 4789, 267, 932, 27570, 7723, 568, 513, 4190, 1383, 540, 513, 570, 31122, 835, 3613, 22901, 8498, 269, 634, 8027, 568, 3335, 13573, 16654, 267, 609, 3368, 2389, 12494, 1229, 5011, 267, 575, 1963, 543, 6149, 3620, 2426, 2699, 2389, 6150, 22908, 269, 634, 2817, 11565, 11751, 519, 3003, 8498, 538, 476, 4350, 280, 547, 2327, 922, 11091, 563, 763, 4779, 520, 10276, 322, 597, 743, 539, 670, 1197, 16836, 729, 519, 6689, 1753, 540, 7788, 645, 1961, 2106, 269, 3751, 8361, 24163, 29317, 3585, 1330, 1540, 1010, 11537, 1934, 269, 634, 859, 25607, 19772, 540, 7788, 779, 4651, 267, 7338, 645, 1961, 2106, 267, 6013, 538, 853, 269, 8834, 779, 5783, 7404, 269, 634, 9510, 851, 540, 519, 14500, 7389, 547, 476, 14096, 271, 269, 769, 519, 476, 9610, 271, 338, 267, 5507, 779, 1287, 7083, 26302, 630, 663, 14732, 779, 1390, 3766, 8681, 15289, 264, 2983, 32015, 645, 1961, 2106, 3773, 513, 570, 31122, 23029, 1369, 519, 6821, 269, 634, 14500, 3788, 606, 14222, 1383, 540, 513, 570, 31122, 544, 6416, 269, 5261, 9546, 323, 21807, 8330, 528, 11751, 519, 14500, 538, 519, 476, 4572, 271, 338, 543, 1631, 621, 568, 11262, 676, 513, 4357, 13055, 563, 3080, 540, 519, 1034, 15999, 2127, 540, 519, 12406, 568, 519, 7969, 12567, 267, 2966, 547, 4159, 8330, 528, 779, 4015, 540, 7969, 17001, 269, 3683, 513, 8536, 2367, 5249, 593, 922, 5137, 269, 10738, 2185, 1296, 267, 513, 1804, 1858, 540, 8106, 543, 2067, 8916, 729, 9112, 269, 634, 7990, 995, 3774, 539, 14986, 12567, 3568, 936, 476, 6110, 271, 2371, 602, 16802, 883, 16036, 2097, 5614, 942, 269, 1403, 596, 723, 513, 16994, 1719, 538, 10651, 267, 596, 1522, 899, 547, 2638, 856, 938, 11285, 4677, 19150, 563, 8777, 1633, 779, 14252, 1507, 1895, 1686, 19150, 585, 9921, 2951, 6840, 454, 5978, 476, 1240, 5991, 697, 4789, 779, 14252, 1507, 1895, 1686, 19150, 585, 9921, 2951, 6840, 7710, 519, 1082, 18125, 540, 2197, 1272, 538, 4789, 269, 901, 1507, 1895, 26603, 9285, 4663, 3217, 596, 998, 1114, 21971, 543, 2066, 513, 3099, 540, 4190, 8916, 269, 12333, 10274, 4001, 596, 827, 519, 1686, 543, 2528, 602, 936, 5553, 723, 2813, 519, 14252, 540, 4789, 269, 4789, 779, 14252, 1507, 1895, 2686, 543, 1686, 19150, 585, 9921, 2951, 6840, 2882, 513, 1297, 540, 4789, 779, 840, 1777, 5006, 543, 9510, 14252, 269, 634, 14252, 10272, 2992, 513, 2039, 540, 2804, 2238, 267, 11265, 6163, 543, 8978, 7506, 269, 901, 8978, 1507, 1895, 4663, 849, 2488, 513, 1413, 693, 1272, 538, 28151, 267, 513, 2197, 10040, 543, 812, 528, 2777, 269, 10374, 11461, 6972, 19150, 543, 8498, 15882, 1683, 4277, 4030, 883, 8498, 1686, 543, 1272, 563, 309, 650, 1137, 540, 4789, 1507, 1895, 4663, 281, 824, 8711, 454, 763, 16645, 1137, 540, 4789, 1507, 1895, 4663, 2882, 11564, 547, 3875, 2197, 14252, 543, 8075, 602, 723, 1044, 1031, 607, 7641, 543, 4670, 5036, 267, 1519, 30086, 1442, 267, 16836, 1290, 2041, 267, 543, 5800, 21469, 269, 12344, 596, 3580, 21028, 930, 540, 891, 6753, 689, 707, 19463, 3703, 5559, 553, 543, 1974, 4773, 256, 1284, 849, 2263, 519, 20807, 532, 10007, 693, 589, 557, 12064, 267, 609, 922, 1360, 1378, 32665, 2622, 11595, 13505, 267, 543, 2070, 519, 570, 31122, 544, 6416, 543, 32219, 10651, 540, 670, 1197, 16836, 267, 6689, 1753, 540, 14732, 645, 1961, 2106, 269, 769, 1840, 267, 649, 1491, 538, 519, 15999, 543, 9867, 29278, 540, 6917, 4789, 543, 1451, 827, 519, 4241, 6163, 540, 6189, 602, 1118, 2296, 14252, 2189, 563, 8777, 1633, 779, 14252, 1507, 1895, 1686, 19150, 585, 9921, 2951, 6840, 568, 835, 540, 930, 476, 736, 19150, 31660, 3091, 1142, 1032, 547, 6628, 547, 9921, 15185, 543, 21088, 2951, 6840, 945, 2972, 1565, 1247, 21409, 269, 12344, 596, 786, 581, 6537, 547, 513, 811, 3742, 29303, 12875, 540, 22798, 6628, 267, 610, 547, 519, 1650, 540, 6628, 779, 11633, 7169, 998, 922, 2052, 1023, 543, 12565, 1811, 269, 1284, 849, 2709, 19150, 1759, 593, 2027, 5396, 267, 899, 9956, 610, 519, 1686, 540, 570, 31122, 4789, 5288, 670, 2355, 7921, 8050, 563, 2252, 596, 8910, 899, 547, 1451, 811, 827, 4663, 532, 4279, 6628, 267, 1224, 938, 5816, 2022, 1934, 256, 1403, 596, 2461, 16994, 547, 1995, 713, 4663, 267, 610, 1451, 811, 827, 31660, 13488, 2401, 267, 5225, 1289, 610, 6494, 606, 4757, 563, 302, 323, 903, 8124, 13488, 2401, 779, 1507, 1895, 19150, 454, 302, 323, 903, 8124, 13488, 2401, 568, 513, 711, 16519, 17416, 13539, 5356, 5245, 543, 1715, 10215, 779, 1034, 3102, 3872, 4663, 3292, 269, 1284, 1683, 5001, 2833, 585, 9921, 2951, 6840, 945, 616, 16994, 547, 11100, 513, 2648, 540, 2951, 609, 513, 19818, 585, 1702, 267, 543, 649, 10950, 5171, 689, 1022, 2197, 563, 302, 323, 903, 8124, 13488, 2401, 568, 4583, 585, 938, 1507, 2516, 267, 543, 649, 3328, 5216, 5171, 829, 4663, 269, 3776, 5021, 1895, 2450, 568, 29933, 1004, 267, 799, 5849, 2298, 267, 8112, 543, 1416, 602, 568, 3358, 547, 938, 7218, 269, 1284, 2027, 1047, 538, 1507, 1895, 19150, 585, 519, 9972, 2951, 2401, 945, 568, 5275, 7045, 610, 568, 8049, 827, 519, 1158, 649, 2661, 538, 269, 15380, 267, 938, 7218, 2253, 21409, 609, 721, 689, 741, 4571, 476, 2004, 779, 593, 1189, 269, 1809, 581, 5423, 547, 2743, 8284, 2951, 6840, 538, 741, 476, 3199, 338, 543, 3564, 256, 5637, 15185, 543, 2206, 956, 616, 10950, 563, 10666, 31660, 13488, 2401, 454, 302, 323, 903, 8124, 13488, 2401, 568, 8149, 547, 26988, 2238, 602, 1489, 519, 1604, 543, 2686, 1646, 540, 8241, 543, 1715, 10215, 2950, 269, 22353, 267, 649, 616, 20938, 547, 14773, 602, 2094, 476, 1001, 273, 267, 31660, 814, 1044, 8366, 532, 1269, 1015, 267, 1822, 24054, 1299, 8585, 527, 22418, 18623, 4721, 1142, 1032, 269, 1284, 8366, 25689, 593, 519, 4493, 540, 4081, 2773, 543, 7152, 2883, 991, 269, 1284, 8366, 693, 2547, 835, 14172, 829, 1032, 269, 1284, 2461, 6462, 998, 938, 3872, 2951, 3292, 267, 543, 707, 7589, 2337, 31660, 3035, 922, 3853, 563, 2690, 811, 1344, 593, 31660, 13488, 2401, 543, 938, 3872, 1507, 1895, 19150, 267, 3643, 938, 3896, 269, 17968, 267, 5225, 1289, 610, 6494, 606, 4757, 269, 1284, 8910, 2648, 547, 5873, 689, 596, 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 ]
[ 6587, 568, 3020, 269, 4841, 945, 3668, 1569, 849, 3668, 1995, 538, 2228, 12445, 267, 5872, 267, 543, 2504, 269, 1635, 8506, 1053, 547, 946, 4563, 4580, 547, 2490, 538, 10467, 543, 1265, 1576, 2326, 267, 594, 993, 1818, 2386, 789, 1205, 519, 1995, 789, 991, 547, 5431, 5409, 31904, 267, 3314, 1141, 789, 616, 538, 513, 1950, 3896, 267, 2022, 8292, 267, 543, 9959, 8852, 269, 2353, 540, 891, 616, 2596, 1983, 2838, 585, 2413, 1272, 11652, 2413, 2069, 269, 14755, 267, 952, 594, 723, 1250, 1053, 2490, 538, 782, 741, 4574, 593, 4563, 4580, 267, 789, 616, 2111, 547, 1451, 689, 835, 1776, 779, 960, 267, 2022, 1007, 31585, 585, 1036, 15665, 8164, 789, 899, 267, 543, 1294, 741, 9344, 538, 1483, 5503, 269, 0, 22091, 6416, 540, 13221, 454, 763, 17700, 729, 513, 1347, 29487, 6205, 945, 8547, 513, 10058, 3909, 2146, 1759, 593, 1010, 2189, 10752, 269, 2368, 540, 519, 2818, 540, 602, 2146, 941, 267, 899, 519, 17700, 5128, 267, 29595, 10841, 7497, 269, 11524, 941, 2482, 11825, 976, 945, 9006, 23306, 519, 17700, 267, 4553, 1978, 3344, 540, 1010, 10752, 267, 543, 3177, 519, 29595, 10841, 7497, 609, 519, 1570, 1489, 602, 789, 2838, 563, 1103, 519, 5553, 1739, 519, 17700, 779, 2669, 267, 519, 1650, 540, 1010, 1272, 729, 15422, 543, 30996, 1639, 267, 1010, 10752, 941, 12873, 543, 2919, 267, 543, 519, 2146, 602, 646, 1185, 3964, 2968, 513, 1713, 3909, 3196, 269, 3509, 540, 519, 29595, 10841, 7497, 945, 4553, 519, 17700, 12306, 538, 8628, 1395, 2880, 24284, 543, 2919, 1395, 2880, 3652, 269, 2311, 519, 1482, 942, 267, 519, 14418, 3288, 640, 3357, 547, 1331, 1271, 2818, 540, 519, 2804, 543, 2797, 16918, 563, 7628, 922, 1101, 2540, 540, 6228, 267, 13221, 3262, 689, 922, 1747, 540, 5169, 538, 7395, 611, 3873, 543, 24230, 8403, 2429, 1454, 540, 7187, 3127, 267, 1519, 519, 2127, 540, 4569, 3120, 543, 772, 329, 329, 599, 8643, 538, 519, 7178, 269, 4340, 547, 14418, 2245, 267, 1045, 14591, 547, 519, 7027, 540, 26751, 8932, 630, 306, 14234, 281, 28446, 880, 8932, 1070, 4371, 1175, 936, 513, 2540, 1310, 519, 17700, 779, 2669, 267, 941, 2366, 547, 26112, 2713, 2429, 7187, 543, 3844, 3127, 269, 1635, 519, 1647, 540, 519, 476, 274, 6113, 2540, 536, 576, 267, 13221, 1185, 6591, 519, 12797, 540, 513, 8575, 1722, 534, 4622, 267, 12891, 24499, 267, 945, 1185, 3964, 606, 10504, 602, 6905, 689, 519, 22615, 28569, 538, 519, 5087, 547, 3592, 607, 2484, 607, 16444, 20092, 538, 519, 5045, 563, 2414, 519, 17710, 540, 519, 1065, 28362, 923, 543, 25267, 16109, 538, 27040, 3127, 267, 519, 19121, 720, 540, 9241, 6932, 3392, 338, 971, 607, 13221, 729, 835, 1259, 540, 4831, 4472, 3496, 519, 2797, 1379, 27361, 676, 23347, 332, 753, 630, 14683, 2275, 4292, 27734, 1040, 634, 1101, 8575, 1722, 534, 17169, 267, 25941, 4048, 340, 24473, 630, 322, 269, 476, 25834, 1700, 322, 269, 476, 29574, 536, 576, 1070, 19121, 1242, 27454, 1143, 543, 267, 2687, 547, 930, 5389, 267, 6368, 2968, 513, 27454, 31494, 269, 3571, 1178, 2738, 517, 267, 12891, 24499, 267, 945, 12199, 936, 519, 3152, 851, 540, 519, 1016, 29657, 689, 827, 476, 28803, 547, 476, 22446, 536, 576, 267, 12926, 5129, 606, 1271, 1909, 538, 14418, 1686, 1317, 540, 1010, 1489, 540, 13221, 1282, 1010, 10715, 269, 1261, 25116, 1256, 811, 3310, 2022, 21065, 3585, 267, 998, 2984, 602, 13269, 1864, 607, 513, 669, 752, 9545, 691, 514, 12462, 16447, 16313, 31865, 12777, 968, 320, 1390, 8868, 268, 13764, 16313, 26158, 1261, 568, 17814, 607, 513, 1612, 6782, 540, 14418, 15438, 1222, 945, 12913, 1082, 32263, 905, 1846, 540, 14039, 1214, 543, 20174, 269, 898, 568, 4061, 1360, 2352, 547, 10646, 519, 12891, 24499, 540, 1686, 689, 519, 12891, 24499, 540, 14418, 10828, 543, 7242, 563, 763, 1101, 4890, 14418, 968, 3667, 338, 892, 602, 616, 1869, 31607, 616, 1202, 18587, 630, 10175, 513, 1297, 540, 1134, 8153, 12891, 758, 534, 22225, 264, 602, 12891, 24499, 1185, 2854, 543, 10268, 538, 1585, 4025, 2429, 1010, 5318, 10806, 269, 4340, 547, 891, 1202, 18587, 267, 12891, 24499, 13986, 547, 3715, 538, 1010, 7706, 513, 968, 25152, 546, 327, 10397, 892, 1759, 593, 519, 21644, 540, 1582, 20820, 267, 31717, 640, 267, 17869, 6888, 267, 5168, 6888, 267, 543, 22556, 269, 4014, 646, 15469, 13221, 267, 646, 1705, 711, 1336, 513, 1533, 5939, 267, 543, 646, 729, 1634, 585, 1010, 2463, 585, 824, 3909, 5389, 269, 1261, 8179, 547, 2226, 9322, 538, 519, 14418, 1395, 2880, 2146, 267, 2705, 267, 543, 646, 15469, 606, 2802, 545, 602, 5059, 593, 519, 2482, 17367, 779, 13800, 538, 713, 1158, 269, 3571, 2832, 267, 607, 13994, 4327, 538, 1010, 1196, 1112, 338, 267, 729, 547, 1711, 513, 3909, 543, 1514, 2113, 24586, 602, 1131, 5512, 782, 968, 18244, 540, 519, 4622, 892, 547, 2661, 25747, 538, 713, 1272, 543, 547, 12492, 13140, 538, 519, 1985, 269, 4935, 267, 646, 1305, 909, 2564, 6351, 585, 1480, 7919, 543, 581, 6814, 267, 9738, 23854, 543, 23668, 267, 543, 15469, 4123, 269, 1261, 3964, 513, 1062, 540, 546, 327, 10397, 10492, 630, 323, 327, 10397, 2173, 1695, 600, 3430, 553, 264, 538, 1931, 547, 948, 1827, 519, 10504, 269, 1656, 646, 2366, 20320, 900, 1170, 2456, 547, 2127, 3564, 1010, 1463, 2797, 1852, 563, 14818, 2659, 11310, 454, 18698, 3624, 281, 5517, 610, 11470, 888, 2026, 327, 24499, 779, 10504, 3459, 547, 1835, 18443, 4166, 1310, 1010, 2669, 267, 543, 519, 8575, 1722, 534, 15913, 729, 6368, 24057, 3497, 538, 519, 2038, 5756, 540, 519, 476, 273, 526, 2540, 536, 576, 269, 1703, 568, 930, 2963, 547, 2303, 602, 13221, 538, 3127, 11124, 20655, 1282, 519, 1744, 2426, 320, 11860, 534, 9366, 1974, 630, 6977, 1700, 2764, 536, 576, 1040, 6736, 17573, 22303, 267, 2705, 267, 6844, 327, 1235, 829, 572, 30099, 267, 543, 1354, 519, 11944, 540, 519, 2871, 24473, 15913, 267, 799, 2813, 519, 1985, 1390, 3443, 268, 24465, 10504, 538, 519, 476, 275, 628, 2540, 2781, 267, 13221, 1185, 1831, 513, 3056, 952, 711, 8789, 3909, 2245, 538, 3127, 563, 7628, 519, 5111, 2947, 5553, 1063, 519, 2887, 540, 519, 8575, 1722, 534, 15913, 543, 519, 4473, 540, 519, 2871, 24473, 15913, 267, 2101, 7835, 7018, 538, 782, 3344, 540, 14418, 3661, 543, 2259, 269, 4270, 1354, 519, 4098, 540, 519, 5871, 16527, 267, 2984, 827, 519, 17700, 779, 1082, 3105, 2729, 267, 6589, 540, 1271, 2621, 538, 1010, 1272, 607, 717, 2246, 4821, 267, 2984, 540, 1010, 968, 2169, 2105, 1272, 892, 538, 1010, 882, 923, 267, 543, 824, 3344, 540, 1010, 10723, 12092, 941, 11840, 730, 593, 269, 769, 519, 5553, 602, 4553, 267, 2516, 540, 891, 2984, 941, 6394, 543, 16432, 538, 1585, 6163, 543, 10659, 563, 24375, 940, 538, 519, 476, 274, 6113, 2540, 536, 576, 543, 7654, 4505, 267, 15999, 14418, 20375, 971, 607, 519, 1390, 23535, 553, 693, 32038, 327, 583, 543, 5842, 14024, 941, 3710, 269, 4438, 519, 2038, 5553, 540, 519, 476, 272, 560, 26992, 2781, 267, 2147, 20375, 941, 3964, 12303, 2429, 519, 1016, 29657, 269, 26597, 20708, 625, 7153, 1932, 267, 930, 538, 2673, 7681, 609, 519, 1390, 20375, 543, 31145, 4609, 269, 6333, 762, 2963, 267, 1519, 1202, 5296, 1308, 2963, 267, 2798, 547, 3573, 1489, 689, 2199, 17710, 267, 1519, 519, 2021, 540, 519, 1585, 10424, 10470, 563, 7628, 713, 1974, 14418, 1395, 2880, 18013, 7139, 11717, 730, 267, 543, 972, 2919, 3309, 3506, 540, 7664, 7282, 6927, 540, 14985, 543, 1395, 2880, 9015, 269, 10738, 519, 670, 514, 27011, 2245, 972, 7153, 1082, 1114, 3506, 267, 1034, 540, 799, 12873, 513, 14583, 540, 519, 17785, 527, 10440, 630, 6518, 1185, 3144, 519, 1106, 540, 2854, 30920, 676, 519, 2038, 5553, 540, 519, 5871, 16527, 1070, 4371, 10058, 11705, 337, 1400, 7158, 267, 543, 13736, 2189, 3029, 540, 1395, 2880, 9015, 269, 634, 2757, 1297, 540, 3506, 568, 476, 1240, 267, 855, 519, 3510, 729, 1360, 7294, 267, 543, 3169, 1541, 5874, 616, 2182, 547, 1118, 563, 10666, 519, 4098, 540, 519, 5871, 16527, 267, 3982, 1947, 10067, 27011, 21274, 3459, 547, 1491, 3337, 269, 898, 1058, 581, 15091, 267, 2705, 267, 602, 1082, 670, 514, 27011, 543, 10067, 27011, 740, 6254, 338, 4797, 547, 2661, 1927, 538, 519, 1482, 1395, 2880, 5238, 269, 769, 519, 476, 273, 526, 610, 476, 274, 6113, 2540, 519, 8496, 1506, 600, 11986, 1153, 267, 799, 814, 7283, 835, 540, 519, 2101, 3506, 540, 10067, 27011, 6138, 267, 729, 3964, 267, 543, 1082, 824, 7215, 540, 10067, 27011, 3661, 267, 2259, 267, 543, 18497, 1272, 7902, 269, 1635, 519, 4098, 540, 519, 2871, 24473, 5736, 267, 519, 10067, 27011, 1185, 1831, 519, 1034, 6422, 543, 3860, 14418, 2245, 538, 3127, 563, 4263, 713, 942, 13221, 849, 9450, 3564, 519, 4095, 1016, 29657, 269, 898, 568, 1034, 2693, 602, 12891, 24499, 2366, 513, 20320, 5692, 547, 16444, 20092, 543, 602, 13221, 729, 3964, 972, 1282, 1010, 12081, 269, 1635, 519, 4098, 540, 519, 5871, 16527, 267, 13221, 267, 799, 1185, 1831, 1360, 2178, 538, 32720, 3127, 267, 1185, 4553, 519, 1390, 4123, 11507, 883, 6239, 5607, 543, 3624, 269, 4340, 547, 2663, 2245, 267, 713, 7269, 729, 7494, 19658, 676, 918, 4314, 6390, 267, 513, 1390, 918, 2313, 3570, 4622, 540, 519, 476, 272, 560, 610, 476, 273, 526, 2540, 2781, 267, 945, 12199, 936, 606, 1858, 602, 3769, 13980, 540, 7187, 3127, 543, 6239, 5607, 563, 289, 3291, 11297, 896, 519, 2871, 696, 553, 543, 6022, 553, 454, 3528, 519, 942, 540, 519, 2871, 24473, 15913, 630, 322, 269, 476, 17168, 1700, 322, 269, 476, 7785, 2781, 1070, 13221, 538, 3127, 729, 1373, 6766, 676, 519, 25954, 540, 23347, 2006, 545, 4984, 543, 519, 8375, 20352, 540, 536, 327, 752, 16210, 630, 320, 1821, 10899, 3350, 602, 15091, 519, 7920, 2648, 540, 513, 25058, 324, 585, 513, 2123, 5601, 1040, 4438, 713, 1974, 267, 585, 1383, 267, 930, 27734, 13736, 20174, 547, 519, 17700, 267, 7247, 789, 9833, 607, 606, 1285, 20345, 630, 4532, 28271, 264, 540, 519, 9699, 25976, 31155, 20692, 267, 543, 930, 6844, 327, 1235, 9006, 23306, 9699, 24587, 945, 941, 606, 7533, 851, 540, 519, 9962, 3909, 2796, 538, 799, 789, 5030, 563, 9961, 519, 2871, 24473, 543, 6022, 320, 5712, 267, 670, 514, 27011, 6844, 327, 1235, 7283, 513, 2101, 10126, 540, 519, 4095, 14418, 2146, 269, 4256, 4797, 14713, 540, 1585, 3344, 540, 14418, 3450, 3366, 547, 519, 11944, 540, 519, 962, 690, 778, 4673, 1153, 267, 519, 2034, 1390, 2245, 540, 10067, 27011, 6138, 269, 589, 3791, 2101, 14418, 2245, 267, 519, 966, 1690, 2001, 3570, 267, 610, 570, 656, 878, 2245, 267, 2919, 856, 540, 519, 10067, 27011, 1153, 543, 2968, 513, 3532, 543, 6422, 3909, 3196, 269, 634, 1007, 1106, 540, 1257, 2404, 609, 713, 2245, 267, 519, 21915, 6652, 267, 7902, 1282, 519, 2871, 24473, 1974, 267, 543, 972, 616, 23053, 602, 3982, 1947, 570, 656, 878, 12738, 3459, 547, 581, 6964, 693, 713, 942, 607, 1134, 269, 898, 729, 1282, 519, 6022, 320, 1974, 630, 279, 628, 1700, 1321, 628, 5553, 1070, 2705, 267, 602, 519, 966, 1690, 2001, 3570, 2245, 7153, 607, 519, 1034, 6422, 5057, 540, 4095, 14418, 1272, 563, 9827, 1282, 519, 2871, 24473, 1974, 267, 972, 7153, 513, 1007, 14418, 9872, 267, 519, 10067, 822, 8811, 4673, 12462, 15124, 3933, 2120, 344, 25257, 799, 1419, 1599, 539, 607, 513, 6280, 269, 901, 9872, 10150, 1390, 1967, 1282, 519, 12081, 540, 519, 6022, 320, 15438, 269, 634, 1034, 4583, 540, 891, 10067, 822, 8811, 31730, 267, 4092, 693, 715, 531, 7701, 267, 2968, 513, 2101, 8998, 585, 519, 1353, 540, 14418, 5931, 543, 519, 27715, 540, 14418, 2219, 267, 3226, 10067, 27011, 543, 966, 1690, 2001, 3570, 2219, 269, 634, 26112, 693, 715, 531, 7701, 849, 2919, 513, 6437, 602, 4682, 2484, 3564, 2757, 13221, 543, 3769, 1454, 4095, 3621, 543, 2686, 1702, 269, 769, 7766, 1296, 824, 1271, 10067, 822, 8811, 31730, 941, 3964, 267, 1142, 609, 922, 1378, 10058, 900, 874, 1162, 543, 4162, 269, 1452, 1390, 14418, 1395, 2880, 1382, 543, 3872, 5238, 25116, 513, 7096, 3909, 543, 2686, 3310, 711, 1152, 538, 3127, 855, 2429, 1082, 824, 2694, 540, 5607, 607, 1134, 563, 7212, 14418, 5238, 8604, 547, 581, 535, 2130, 1134, 896, 519, 2871, 696, 553, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20029, 269, 476, 1691, 998, 476, 1240, 547, 1831, 1732, 6370, 16667, 15505, 4365, 589, 3305, 523, 1282, 27974, 516, 10312, 476, 1001, 276, 269, 968, 1607, 3018, 729, 1271, 1317, 649, 3576, 589, 3305, 523, 267, 945, 616, 4365, 2062, 322, 7539, 6728, 539, 609, 519, 8136, 267, 8036, 873, 593, 2645, 543, 1099, 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, 1012, 4197, 22532, 17978, 543, 7844, 9751, 692, 9213, 267, 649, 2811, 2469, 547, 1451, 827, 513, 4241, 1888, 538, 2780, 2257, 281, 8849, 5121, 543, 2203, 2866, 269, 1284, 3513, 2263, 713, 1888, 1210, 5124, 267, 513, 2442, 5752, 1893, 267, 543, 918, 10327, 267, 513, 3532, 5399, 585, 2679, 543, 2866, 8849, 5121, 780, 2162, 1548, 568, 513, 22532, 8416, 2496, 288, 8849, 3060, 568, 513, 3126, 540, 6620, 602, 18129, 547, 5431, 5817, 3347, 538, 513, 1305, 540, 1239, 998, 513, 1184, 602, 13147, 923, 519, 1259, 519, 1480, 2634, 13333, 269, 22532, 5121, 616, 513, 15410, 540, 3684, 1565, 543, 616, 693, 519, 2295, 540, 2620, 1565, 6620, 780, 2162, 17553, 5455, 3776, 5113, 692, 6524, 649, 1376, 267, 649, 991, 547, 3888, 543, 1104, 519, 2556, 8021, 269, 1284, 3513, 581, 1210, 17877, 267, 513, 5399, 585, 519, 5124, 5752, 1893, 267, 4946, 1489, 585, 1804, 267, 3818, 8820, 14249, 543, 14290, 267, 2059, 609, 513, 1804, 4015, 540, 1164, 7400, 6310, 3252, 547, 7500, 593, 891, 14249, 269, 1284, 3513, 849, 946, 918, 10327, 267, 513, 1164, 7400, 8849, 5121, 16286, 267, 2854, 538, 5124, 543, 5827, 540, 4881, 593, 1283, 540, 32150, 23044, 267, 595, 18199, 298, 267, 610, 634, 8457, 780, 3499, 7090, 454, 256, 26921, 3888, 11885, 737, 10327, 692, 5814, 11885, 607, 5286, 454, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 737, 10327, 7456, 16558, 1104, 667, 1619, 267, 2920, 10474, 454, 5228, 737, 10327, 269, 583, 2812, 1104, 5286, 318, 583, 2812, 454, 7884, 2162, 27759, 3776, 4578, 692, 1103, 3684, 1565, 267, 649, 1419, 960, 609, 14449, 602, 649, 946, 547, 5721, 938, 3631, 269, 1452, 14449, 616, 2356, 8237, 883, 1079, 2694, 281, 513, 2866, 1305, 543, 513, 1449, 1305, 269, 634, 2866, 1305, 568, 1031, 547, 5721, 519, 2203, 267, 543, 519, 1449, 1305, 568, 1031, 547, 6218, 875, 1134, 519, 2203, 814, 4121, 780, 1103, 938, 2013, 267, 649, 723, 1079, 14449, 281, 2387, 311, 17601, 319, 543, 2387, 311, 15305, 18269, 1452, 616, 938, 2866, 543, 1449, 14449, 267, 6606, 269, 3962, 10471, 568, 513, 476, 273, 291, 17877, 5044, 267, 1141, 1142, 4737, 568, 513, 1239, 3732, 543, 1142, 6241, 568, 513, 4183, 540, 519, 1239, 3732, 780, 6524, 649, 666, 946, 891, 14449, 267, 649, 991, 547, 840, 15263, 873, 269, 901, 3322, 18534, 12686, 519, 1239, 543, 3339, 1944, 621, 780, 2971, 1763, 327, 12686, 519, 4578, 692, 763, 2387, 31412, 319, 1599, 568, 1031, 547, 1689, 519, 3337, 540, 606, 5044, 1510, 4657, 922, 1239, 269, 769, 938, 2013, 267, 649, 2811, 18534, 12686, 2387, 311, 17601, 319, 543, 2387, 311, 15305, 319, 547, 723, 476, 1911, 876, 9343, 543, 2387, 305, 2464, 295, 4338, 292, 319, 9587, 780, 3499, 7090, 454, 311, 17601, 815, 2473, 17601, 269, 31412, 263, 1911, 876, 267, 19419, 295, 4338, 292, 994, 311, 15305, 815, 2473, 15305, 269, 31412, 263, 1911, 876, 267, 19419, 295, 4338, 292, 994, 7884, 2971, 16453, 1944, 519, 4578, 692, 31863, 1436, 568, 513, 4480, 1419, 4294, 607, 851, 540, 1239, 7041, 585, 3684, 1565, 269, 634, 3804, 540, 3339, 1436, 568, 547, 1689, 519, 2418, 540, 25948, 9587, 538, 519, 10471, 547, 513, 1455, 4336, 267, 1510, 1253, 15659, 3604, 538, 519, 9832, 540, 2418, 610, 9561, 1344, 780, 1103, 938, 2013, 267, 649, 2811, 3339, 1944, 2387, 311, 17601, 319, 543, 2387, 311, 15305, 319, 676, 12270, 1142, 1871, 676, 519, 5021, 1871, 538, 519, 10471, 780, 3499, 7090, 454, 311, 17601, 815, 2473, 17601, 269, 770, 4286, 3488, 15615, 3953, 5073, 311, 15305, 815, 2473, 15305, 269, 770, 4286, 3488, 15615, 3953, 17210, 311, 17601, 1315, 284, 2473, 17601, 27982, 4590, 311, 15305, 1315, 284, 2473, 15305, 27982, 4590, 7884, 2162, 20593, 1154, 4147, 6997, 1564, 547, 23030, 4147, 4223, 4631, 692, 1103, 3684, 1565, 267, 649, 1419, 960, 609, 28547, 1239, 269, 1280, 1383, 267, 952, 649, 2811, 2679, 513, 2203, 547, 5431, 1114, 2010, 540, 2831, 267, 938, 10297, 1522, 581, 834, 27594, 2580, 834, 13906, 2580, 834, 12704, 2580, 3092, 269, 1717, 267, 8849, 5121, 666, 1405, 960, 609, 891, 10297, 2047, 269, 5502, 267, 649, 991, 547, 6460, 873, 883, 513, 3898, 602, 519, 3060, 666, 1174, 780, 1607, 568, 1141, 519, 2387, 1729, 6831, 1538, 5566, 319, 1599, 2501, 538, 269, 901, 1599, 17838, 513, 1362, 6152, 630, 15759, 619, 264, 547, 9352, 1362, 5119, 269, 1280, 1383, 267, 585, 1210, 28547, 6831, 1484, 550, 16552, 2530, 267, 952, 649, 723, 476, 1015, 5049, 267, 649, 991, 547, 6460, 513, 2582, 10784, 1122, 518, 2000, 8475, 547, 513, 476, 1015, 8820, 6152, 780, 1103, 938, 2013, 267, 649, 2811, 14291, 2387, 312, 17601, 319, 543, 2387, 312, 15305, 319, 883, 9352, 1362, 14290, 780, 3499, 7090, 454, 312, 17601, 815, 5286, 318, 583, 2812, 30419, 6831, 1538, 5566, 263, 312, 17601, 267, 715, 289, 318, 12710, 19798, 2464, 994, 312, 15305, 815, 5286, 318, 583, 2812, 30419, 6831, 1538, 5566, 263, 312, 15305, 267, 715, 289, 318, 12710, 19798, 2464, 994, 7884, 2162, 8490, 3776, 7844, 692, 3086, 602, 649, 4312, 840, 15263, 539, 938, 1239, 267, 649, 666, 1376, 2679, 938, 2203, 269, 769, 918, 10327, 267, 649, 666, 1711, 513, 2203, 1210, 519, 14938, 1113, 16286, 269, 901, 16286, 2636, 721, 547, 1711, 513, 2203, 4494, 676, 4494, 780, 1103, 938, 2013, 267, 649, 2811, 2870, 513, 2203, 609, 1614, 6106, 281, 1079, 6456, 6106, 543, 835, 3977, 4494, 269, 634, 1101, 6456, 4494, 814, 2387, 301, 318, 295, 2839, 291, 2894, 319, 11409, 543, 3096, 519, 1234, 299, 308, 11852, 1599, 269, 634, 2034, 6456, 4494, 849, 814, 2387, 301, 318, 295, 2839, 291, 2894, 319, 11409, 543, 3096, 519, 1234, 299, 308, 11852, 1599, 269, 634, 3977, 4494, 814, 2387, 301, 289, 318, 12710, 19798, 2464, 319, 11409, 543, 3096, 519, 2571, 10946, 11852, 1599, 780, 3499, 7090, 454, 16347, 815, 14938, 1113, 4590, 16347, 14491, 20573, 1619, 18217, 318, 295, 2839, 291, 2894, 267, 3403, 318, 27729, 14352, 305, 2464, 295, 4338, 292, 267, 21875, 16347, 14491, 263, 8002, 10474, 3488, 516, 1663, 29125, 16347, 14491, 20573, 1619, 18217, 318, 295, 2839, 291, 2894, 4917, 16347, 14491, 263, 8002, 10474, 3488, 516, 1663, 29125, 16347, 14491, 20573, 1619, 18217, 289, 318, 12710, 19798, 2464, 4917, 16347, 14491, 263, 8002, 10474, 3488, 7809, 10946, 29125, 7884, 2162, 3281, 4979, 3776, 7844, 692, 6524, 649, 666, 5721, 938, 2203, 267, 649, 991, 547, 29289, 621, 269, 901, 3322, 28408, 519, 2530, 1599, 267, 519, 5688, 6500, 267, 543, 519, 14573, 649, 1616, 547, 3950, 780, 1103, 938, 2013, 267, 649, 2811, 1210, 519, 2387, 322, 1538, 5566, 6831, 1484, 550, 16552, 319, 2530, 1599, 267, 799, 568, 3335, 1031, 585, 3818, 11665, 8760, 2042, 269, 1284, 2811, 1210, 519, 2387, 8008, 2316, 11085, 313, 2207, 319, 5688, 6500, 267, 799, 568, 513, 1599, 602, 9598, 919, 875, 519, 2203, 786, 1451, 689, 922, 9073, 269, 7053, 267, 649, 2811, 9477, 519, 2387, 3147, 5596, 319, 11973, 267, 799, 6645, 721, 875, 1419, 938, 2203, 568, 2953, 780, 3499, 7090, 454, 16347, 2593, 335, 850, 10857, 1601, 8782, 322, 1538, 5566, 6831, 1484, 550, 16552, 22779, 23526, 5688, 6500, 284, 8008, 2316, 11085, 313, 2207, 2676, 23526, 14573, 284, 9131, 3147, 5596, 262, 7481, 7884, 2162, 9751, 3776, 7844, 692, 3086, 602, 938, 2203, 568, 16432, 267, 649, 666, 5721, 621, 269, 901, 3322, 8023, 938, 2866, 1239, 883, 519, 2203, 543, 3850, 621, 547, 1451, 689, 922, 9073, 780, 1103, 938, 2013, 267, 649, 2811, 2866, 938, 2203, 585, 2387, 301, 289, 318, 7968, 302, 6224, 306, 319, 22184, 338, 269, 1323, 22184, 568, 513, 2347, 1780, 998, 519, 3003, 10471, 269, 1284, 2811, 849, 1210, 513, 2387, 289, 2969, 6224, 318, 10485, 30438, 319, 540, 476, 12553, 267, 799, 1797, 602, 938, 2203, 786, 581, 8036, 593, 476, 12553, 1239, 5439, 693, 513, 942, 780, 3499, 7090, 454, 20931, 815, 2203, 32265, 11583, 17601, 267, 962, 17601, 2676, 7386, 16801, 15481, 284, 289, 2969, 6224, 318, 10485, 30438, 2676, 7386, 22184, 338, 284, 301, 289, 318, 7968, 302, 6224, 306, 2676, 7386, 8231, 846, 284, 23615, 289, 5308, 292, 2676, 7386, 15418, 5334, 5902, 284, 309, 3201, 2839, 9569, 318, 9915, 299, 3951, 994, 7884, 2162, 28518, 3776, 7844, 692, 5475, 938, 2203, 814, 1044, 8036, 267, 649, 666, 6218, 621, 1210, 938, 1449, 1239, 269, 901, 3322, 8023, 938, 1449, 1239, 883, 519, 2203, 543, 2348, 621, 1118, 11236, 780, 1103, 938, 2013, 267, 649, 2811, 10442, 938, 2203, 1210, 519, 2387, 24834, 10663, 319, 1599, 269, 901, 1599, 7024, 513, 1592, 540, 14573, 281, 538, 938, 2013, 267, 519, 2530, 543, 519, 6111, 780, 3499, 7090, 454, 16557, 815, 2203, 4318, 1998, 10663, 11583, 15305, 267, 962, 15305, 267, 8231, 846, 284, 23615, 289, 5308, 292, 994, 2745, 3488, 14818, 6060, 3299, 6060, 314, 271, 7481, 2745, 3488, 14818, 6111, 3299, 6060, 314, 272, 7481, 7884, 4517, 602, 781, 621, 256, 1284, 4312, 1175, 4121, 875, 547, 1628, 267, 5721, 267, 543, 6218, 513, 8849, 3060, 1210, 5124, 543, 918, 10327, 269, 901, 568, 513, 3532, 1907, 602, 666, 581, 1031, 547, 4194, 513, 2647, 2039, 540, 2042, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 284, 2473, 15305, 269, 31412, 263, 1911, 876, 267, 19419, 295, 4338, 292, 994, 311, 17601, 815, 2473, 17601, 269, 770, 4286, 3488, 15615, 3953, 5073, 311, 15305, 815, 2473, 15305, 269, 770, 4286, 3488, 15615, 3953, 5073, 258, 711, 655, 531, 1944, 454, 311, 17601, 1315, 284, 2473, 17601, 454, 311, 15305, 1315, 284, 2473, 15305, 692, 258, 6460, 1362, 10297, 547, 9352, 1362, 14290, 454, 312, 17601, 815, 5286, 318, 583, 2812, 30419, 6831, 1538, 5566, 263, 312, 17601, 267, 715, 289, 318, 12710, 19798, 2464, 994, 312, 15305, 815, 5286, 318, 583, 2812, 30419, 6831, 1538, 5566, 263, 312, 15305, 267, 715, 289, 318, 12710, 19798, 2464, 2020, 16347, 815, 14938, 1113, 4590, 16347, 14491, 20573, 1619, 18217, 318, 295, 2839, 291, 2894, 267, 3403, 318, 27729, 14352, 305, 2464, 295, 4338, 292, 267, 21875, 16347, 14491, 263, 8002, 10474, 3488, 516, 1663, 29125, 16347, 14491, 20573, 1619, 18217, 318, 295, 2839, 291, 2894, 4917, 16347, 14491, 263, 8002, 10474, 3488, 516, 1663, 29125, 16347, 14491, 20573, 1619, 18217, 289, 318, 12710, 19798, 2464, 4917, 16347, 14491, 263, 8002, 10474, 3488, 7809, 10946, 29125, 16347, 27904, 4424, 10797, 16347, 2593, 335, 850, 10857, 1601, 8782, 322, 1538, 5566, 6831, 1484, 550, 16552, 22779, 23526, 5688, 6500, 284, 8008, 2316, 11085, 313, 2207, 2676, 23526, 14573, 284, 9131, 3147, 5596, 11172, 9239, 20931, 815, 2203, 32265, 11583, 17601, 267, 962, 17601, 2676, 7386, 16801, 15481, 284, 289, 2969, 6224, 318, 10485, 30438, 2676, 7386, 22184, 338, 284, 301, 289, 318, 7968, 302, 6224, 306, 2676, 7386, 8231, 846, 284, 23615, 289, 5308, 292, 2676, 7386, 15418, 5334, 5902, 284, 309, 3201, 2839, 9569, 318, 9915, 299, 3951, 2020, 16557, 815, 2203, 4318, 1998, 10663, 11583, 15305, 267, 962, 15305, 267, 8231, 846, 284, 23615, 289, 5308, 292, 994, 2745, 3488, 14818, 6060, 3299, 6060, 314, 271, 7481, 2745, 3488, 14818, 6111, 3299, 6060, 314, 272, 7481, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10704, 1472, 3695, 2189, 12146, 10659, 543, 19234, 609, 1007, 2553, 267, 1053, 1020, 3407, 1272, 1983, 10858, 3564, 519, 4928, 4259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15239, 2757, 7064, 15130, 12129, 2093, 10346, 4797, 454, 2304, 2653, 5779, 1652, 4528, 540, 513, 5929, 4313, 1426, 12129, 2336, 4322, 4258, 525, 344, 12098, 534, 3794, 9790, 6363, 872, 2107, 15605, 853, 4428, 539, 3212, 13827, 616, 1283, 476, 279, 14711, 6954, 267, 2653, 547, 5965, 267, 2295, 344, 267, 2635, 267, 711, 547, 2446, 8949, 543, 3501, 547, 1118, 585, 21175, 1490, 4875, 563, 763, 9702, 10366, 538, 713, 835, 1673, 880, 25308, 28401, 20230, 3138, 514, 887, 770, 616, 11613, 6909, 267, 543, 621, 779, 1175, 3501, 585, 513, 2027, 1205, 1927, 269, 898, 779, 11273, 1927, 609, 28777, 6404, 5388, 563, 2005, 779, 835, 540, 1346, 8631, 532, 10346, 602, 779, 513, 1390, 1118, 6619, 21175, 2427, 8670, 602, 568, 865, 2653, 543, 865, 8949, 2336, 1607, 27598, 267, 28655, 717, 3716, 320, 5672, 543, 10381, 568, 513, 17705, 4313, 1426, 18437, 8670, 602, 666, 581, 1500, 538, 896, 476, 1789, 3764, 563, 1607, 5672, 562, 10381, 568, 3501, 607, 513, 1292, 8670, 267, 610, 607, 513, 2427, 8670, 585, 519, 14812, 899, 21175, 610, 513, 2462, 1554, 630, 3697, 513, 11812, 610, 5428, 1916, 1607, 4453, 16741, 11600, 568, 519, 1655, 19471, 575, 712, 5471, 16741, 269, 1323, 14462, 3282, 3490, 267, 4195, 4453, 338, 267, 15090, 267, 1286, 14712, 1242, 19637, 267, 536, 4471, 543, 8126, 344, 575, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 32733, 1299, 18270, 725, 1315, 21175, 1315, 12465, 21175, 16639, 543, 31204, 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, 6092, 5149, 281, 4197, 8111, 12516, 525, 692, 7072, 912, 5970, 596, 2479, 16545, 2348, 2706, 335, 10183, 602, 1131, 1450, 596, 547, 798, 9058, 1919, 899, 10760, 998, 519, 2011, 610, 17666, 5230, 3615, 609, 8897, 286, 3509, 540, 721, 723, 2219, 827, 1018, 621, 1131, 581, 899, 547, 581, 513, 15705, 256, 1452, 4241, 3197, 723, 26970, 9458, 585, 5756, 543, 3136, 547, 8300, 721, 2221, 269, 901, 1576, 1770, 786, 6338, 596, 547, 519, 1158, 540, 27568, 1107, 1141, 789, 3357, 689, 267, 741, 1764, 593, 2486, 267, 543, 1946, 649, 2648, 873, 865, 1454, 780, 6637, 476, 272, 281, 1548, 568, 513, 8111, 12516, 888, 288, 15705, 568, 513, 1915, 945, 19299, 2027, 5759, 267, 1419, 3564, 1346, 540, 8723, 3425, 269, 1358, 946, 891, 7060, 547, 2149, 1004, 543, 4339, 9409, 4229, 269, 2755, 930, 27568, 949, 2408, 3501, 267, 1082, 849, 3068, 2123, 9620, 543, 2591, 269, 25587, 27568, 2097, 689, 1585, 10080, 543, 8858, 1114, 4162, 282, 2705, 267, 789, 782, 2671, 513, 1455, 3804, 281, 547, 1711, 513, 10930, 1604, 585, 3025, 3116, 780, 14300, 540, 4583, 27568, 1384, 265, 15506, 2006, 281, 589, 14547, 1870, 17367, 676, 1554, 543, 6760, 325, 7660, 676, 3781, 269, 1261, 3096, 4359, 2029, 543, 19831, 6575, 1983, 547, 9718, 717, 1054, 600, 4975, 563, 265, 30064, 5336, 534, 281, 2991, 1373, 3787, 1084, 676, 513, 14599, 17178, 267, 1164, 1153, 2875, 8834, 26436, 12374, 6909, 4222, 267, 22231, 267, 543, 12823, 269, 1306, 30064, 5336, 534, 267, 646, 21356, 1010, 1272, 1063, 8165, 5636, 1622, 543, 11504, 1362, 563, 265, 8111, 2006, 281, 18004, 17833, 7232, 331, 593, 4541, 918, 7973, 517, 267, 646, 16154, 3338, 593, 3047, 543, 3792, 1206, 18412, 13573, 607, 1010, 1480, 3961, 269, 2060, 7060, 971, 607, 8184, 267, 3002, 5075, 267, 543, 1045, 592, 1676, 1464, 267, 646, 28863, 5450, 24227, 896, 519, 1368, 1047, 540, 8111, 2006, 780, 6637, 476, 273, 281, 3778, 540, 8111, 12516, 525, 454, 21841, 12516, 525, 723, 11478, 538, 18691, 543, 13299, 1279, 1354, 13371, 2835, 543, 9413, 269, 1717, 267, 2413, 27568, 7153, 1282, 519, 2038, 476, 736, 628, 2540, 950, 1007, 4066, 4847, 585, 2527, 2504, 543, 3892, 540, 14676, 269, 4595, 1287, 267, 27568, 723, 7960, 7258, 6848, 2242, 1247, 4509, 741, 4295, 2418, 780, 12441, 1411, 5700, 286, 912, 763, 2165, 834, 27273, 12516, 257, 814, 7902, 538, 1820, 2094, 693, 2547, 476, 4489, 278, 267, 855, 922, 8560, 8057, 28354, 1310, 2622, 2782, 4083, 269, 4438, 713, 1974, 267, 27568, 2968, 6698, 540, 4126, 543, 5126, 9624, 2518, 24187, 780, 6637, 476, 274, 281, 4208, 3657, 8111, 12516, 525, 15019, 888, 21841, 12516, 525, 13469, 7184, 1369, 1142, 540, 721, 1813, 547, 1896, 2188, 1384, 272, 269, 18521, 777, 1143, 281, 7335, 827, 27568, 2488, 606, 4316, 547, 4090, 3320, 4734, 3297, 4948, 19048, 543, 23365, 13951, 538, 13858, 9035, 563, 273, 269, 10020, 17738, 281, 8111, 12516, 525, 4159, 8098, 10928, 7907, 899, 22838, 267, 8296, 267, 6043, 267, 543, 1582, 16531, 1765, 10177, 1080, 4502, 900, 6819, 538, 1483, 1272, 563, 274, 269, 4039, 520, 1464, 281, 6736, 741, 9735, 5759, 267, 27568, 4308, 609, 11541, 2152, 899, 1920, 2042, 267, 11509, 3347, 267, 543, 3961, 16839, 563, 275, 269, 30007, 10025, 281, 11059, 1790, 17977, 13602, 4904, 609, 24457, 995, 13341, 1996, 23773, 10779, 2456, 1832, 3988, 7722, 543, 7038, 539, 780, 6637, 476, 275, 281, 2659, 12414, 281, 12861, 2659, 13574, 8111, 12516, 454, 3086, 602, 596, 1174, 811, 827, 27568, 267, 2119, 2870, 707, 1378, 3312, 1915, 256, 6333, 519, 1739, 12987, 1384, 272, 269, 8745, 543, 17461, 281, 7994, 513, 2189, 2012, 543, 5169, 1650, 585, 707, 5869, 269, 7316, 1705, 789, 1332, 909, 286, 1215, 1705, 789, 10536, 741, 7060, 888, 273, 269, 22226, 3004, 1080, 281, 14674, 707, 15705, 781, 7209, 269, 3657, 789, 3978, 610, 1769, 27329, 286, 4762, 1211, 610, 7334, 286, 9877, 610, 524, 7342, 888, 274, 269, 25024, 543, 2806, 1988, 281, 32341, 799, 9058, 15421, 1655, 9290, 707, 15705, 269, 2052, 789, 1852, 2609, 267, 5968, 7658, 12949, 1227, 267, 610, 12115, 3533, 286, 5457, 267, 1256, 9583, 4617, 7060, 666, 1291, 547, 10578, 6386, 952, 8246, 21176, 563, 275, 269, 8779, 2541, 5071, 281, 28220, 513, 28076, 1374, 585, 707, 15705, 269, 6056, 827, 4778, 267, 27291, 267, 543, 17960, 602, 2992, 741, 1268, 320, 563, 276, 269, 12694, 281, 7053, 267, 4952, 9465, 707, 15705, 1590, 7753, 269, 5808, 616, 741, 14763, 286, 1548, 6937, 1281, 707, 15705, 11441, 547, 9243, 1125, 2496, 3528, 1620, 519, 1686, 543, 9029, 540, 27568, 267, 596, 1932, 666, 3565, 547, 713, 7524, 7122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25444, 568, 5432, 609, 519, 2262, 590, 16810, 2207, 295, 2207, 302, 26008, 4270, 267, 875, 7948, 1406, 835, 581, 286, 17451, 2094, 513, 1126, 568, 4535, 267, 646, 568, 5143, 2984, 540, 27568, 543, 875, 789, 4688, 1004, 543, 948, 1866, 269, 1677, 903, 547, 1404, 543, 20176, 625, 1453, 4782, 547, 4585, 2356, 31721, 1472, 2706, 268, 12516, 525, 563, 3383, 267, 1453, 1020, 606, 3239, 540, 27568, 607, 519, 1034, 14984, 267, 25091, 267, 2186, 27329, 267, 543, 17888, 7919, 945, 666, 798, 8726, 789, 1616, 269, 2368, 540, 519, 1034, 2442, 543, 6444, 27568, 616, 15506, 2006, 267, 1975, 573, 9007, 267, 8111, 2006, 267, 670, 592, 330, 267, 26728, 591, 710, 267, 543, 11635, 2494, 563, 763, 2262, 27568, 4266, 1394, 547, 693, 2547, 476, 4489, 278, 269, 2334, 729, 519, 1101, 942, 2576, 1031, 713, 2012, 585, 14070, 3197, 267, 543, 2094, 1287, 972, 723, 1044, 3875, 27568, 5189, 269, 1284, 2832, 547, 6218, 707, 8111, 12516, 1702, 609, 938, 28094, 540, 8111, 12516, 31851, 2055, 1299, 4267, 7688, 563, 5649, 2859, 281, 31733, 2558, 14746, 5999, 1299, 12226, 454, 268, 9995, 3205, 267, 8834, 630, 12041, 994, 268, 2296, 630, 26397, 5678, 994, 268, 476, 17168, 9664, 910, 476, 1015, 270, 2190, 270, 1001, 278, 630, 26397, 11261, 264, 910, 21419, 7734, 630, 21812, 994, 18128, 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, 8080, 547, 519, 4241, 1158, 540, 13437, 6657, 543, 28604, 256, 901, 568, 707, 4960, 547, 2263, 875, 12372, 3142, 2575, 547, 1272, 998, 741, 1378, 2189, 2511, 543, 5876, 269, 5994, 1373, 2111, 547, 6432, 547, 1079, 1114, 32058, 1235, 1404, 519, 1482, 4062, 540, 2575, 1107, 798, 789, 3280, 4010, 7567, 286, 2986, 1576, 711, 256, 3807, 899, 9416, 21646, 267, 1169, 22459, 814, 741, 1367, 1259, 540, 11589, 2933, 998, 741, 6293, 780, 4131, 781, 4685, 4514, 883, 713, 1523, 1210, 519, 1383, 540, 3504, 32363, 613, 534, 20072, 269, 1452, 941, 2027, 2010, 540, 1603, 1031, 1279, 3516, 538, 4025, 899, 11511, 974, 543, 10255, 269, 12824, 723, 1044, 2324, 2182, 547, 1174, 1018, 891, 2025, 5931, 1611, 267, 1175, 899, 3713, 1161, 6061, 513, 9814, 269, 2311, 519, 5358, 585, 32363, 613, 534, 14644, 338, 543, 2776, 20931, 630, 303, 3008, 303, 1070, 5640, 543, 5159, 12840, 547, 12260, 11580, 6456, 1369, 891, 3504, 12591, 269, 1358, 1413, 693, 1919, 899, 20341, 267, 2645, 267, 543, 824, 3615, 1336, 1282, 15456, 14155, 725, 602, 1522, 2285, 10881, 827, 519, 2495, 3297, 519, 6698, 780, 3086, 267, 1589, 827, 2575, 4967, 607, 952, 789, 941, 1346, 12357, 6698, 7996, 547, 7866, 741, 2984, 269, 1879, 25803, 2328, 1524, 741, 7574, 4555, 593, 1957, 267, 621, 781, 909, 547, 1142, 1685, 518, 547, 6430, 875, 1655, 547, 2671, 1346, 2093, 609, 19700, 269, 6884, 267, 972, 666, 581, 1082, 2081, 547, 4612, 835, 2582, 5888, 256, 2334, 781, 1141, 2773, 2259, 2501, 538, 1107, 1565, 827, 3140, 8658, 267, 7405, 267, 2553, 267, 543, 1256, 2686, 5389, 2337, 3391, 12372, 950, 1818, 3664, 827, 7664, 780, 2690, 3236, 267, 4952, 4730, 2142, 29348, 781, 9855, 2775, 12312, 1092, 593, 1312, 513, 2413, 14440, 543, 513, 3771, 1186, 747, 867, 269, 5637, 616, 13691, 7405, 855, 3132, 1360, 1114, 4992, 269, 19805, 799, 835, 547, 946, 2907, 5036, 519, 3942, 585, 513, 1880, 2186, 540, 2773, 269, 3973, 2015, 32171, 267, 6384, 267, 13994, 1637, 267, 543, 2236, 2084, 1107, 782, 3344, 602, 3565, 547, 5935, 519, 3803, 6364, 540, 519, 4062, 269, 1635, 4974, 1585, 19827, 543, 6589, 540, 12644, 2429, 1686, 267, 12372, 2744, 4030, 883, 12926, 7608, 4485, 1247, 849, 4743, 23518, 547, 1039, 2123, 18953, 780, 3383, 267, 1577, 781, 2322, 6000, 538, 519, 10887, 540, 513, 22459, 16208, 606, 7164, 6060, 269, 1284, 1376, 676, 6998, 2055, 281, 1548, 5736, 1281, 713, 2575, 4866, 547, 286, 5808, 729, 519, 21917, 286, 3657, 972, 1022, 1808, 5528, 2451, 3297, 3823, 32171, 267, 4082, 267, 610, 1915, 286, 1215, 1131, 9458, 1394, 1287, 2503, 713, 4062, 547, 3280, 286, 4495, 649, 5531, 2614, 1344, 267, 649, 2253, 19234, 609, 4992, 267, 3695, 4664, 859, 12097, 676, 1978, 15102, 267, 543, 7930, 3384, 938, 7664, 780, 8855, 267, 972, 3884, 1405, 1152, 835, 1318, 1259, 547, 1685, 513, 4062, 540, 2575, 269, 1306, 596, 1332, 607, 513, 22459, 267, 1832, 12423, 1007, 7399, 543, 2972, 4687, 707, 2189, 5639, 609, 1866, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 519, 623, 3008, 303, 3896, 563, 2080, 596, 786, 1265, 912, 268, 5455, 30098, 593, 623, 3008, 303, 779, 5767, 3785, 454, 268, 16731, 5359, 2854, 676, 5640, 543, 5159, 593, 741, 960, 609, 623, 3008, 303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2919, 513, 4542, 547, 3286, 1518, 519, 1871, 543, 7411, 2157, 540, 1142, 8559, 630, 13640, 476, 274, 267, 275, 267, 276, 1040, 2991, 4730, 513, 3126, 540, 1037, 338, 267, 519, 1053, 5462, 519, 1576, 779, 2039, 540, 7965, 476, 272, 268, 280, 543, 9112, 9470, 655, 2355, 543, 6060, 11568, 563, 268, 9603, 547, 519, 32036, 4765, 2470, 540, 519, 18736, 2603, 267, 1053, 18886, 519, 1297, 540, 6517, 602, 732, 1031, 547, 5397, 1053, 547, 1153, 543, 519, 1297, 540, 1053, 829, 1286, 269, 1358, 1305, 909, 513, 5750, 1993, 741, 1153, 543, 4280, 519, 1053, 1018, 1858, 789, 5030, 538, 269, 1358, 2813, 513, 3113, 540, 1287, 3784, 540, 6517, 829, 1053, 538, 1142, 1858, 543, 2366, 513, 1867, 1753, 609, 1053, 8716, 29324, 543, 3237, 547, 15790, 944, 950, 6117, 1053, 547, 1153, 563, 268, 2991, 8159, 602, 519, 13836, 2361, 729, 538, 771, 10517, 1515, 267, 9511, 1053, 1500, 1808, 516, 5570, 754, 725, 593, 2081, 547, 2087, 519, 2783, 540, 519, 2361, 267, 1519, 11761, 1852, 593, 320, 1793, 14563, 14629, 563, 268, 4841, 5342, 513, 1353, 540, 519, 6808, 11250, 538, 741, 25708, 1858, 269, 4635, 513, 3432, 7784, 25075, 3660, 676, 519, 7128, 8257, 267, 1053, 9916, 519, 3432, 532, 3270, 540, 5179, 6472, 269, 2026, 513, 1267, 267, 789, 4280, 2824, 5443, 585, 513, 6808, 1769, 547, 15658, 3432, 532, 269, 4256, 11556, 729, 23100, 539, 543, 513, 6808, 1769, 729, 2322, 538, 563, 268, 16387, 1053, 941, 4280, 676, 476, 275, 25217, 269, 634, 4786, 729, 2877, 865, 519, 476, 275, 1492, 2146, 269, 634, 1164, 1153, 1053, 1031, 519, 9511, 543, 6482, 2035, 602, 16269, 4121, 538, 1362, 547, 1020, 606, 4977, 4786, 267, 835, 602, 8612, 1141, 1142, 540, 519, 476, 275, 628, 17603, 547, 4786, 513, 2470, 13009, 3297, 519, 10026, 628, 17603, 1223, 1118, 513, 2156, 577, 675, 540, 519, 2470, 13009, 8521, 14079, 7550, 4054, 729, 4092, 269, 0, 19859, 2675, 8084, 10605, 16234, 734, 10193, 1634, 607, 27266, 23234, 734, 732, 1336, 538, 3388, 689, 11432, 1085, 636, 547, 1480, 7919, 543, 2408, 547, 948, 10891, 513, 546, 11170, 3539, 5044, 540, 23020, 3157, 269, 6736, 519, 1271, 1909, 602, 789, 1404, 267, 3744, 616, 1175, 4098, 547, 1174, 519, 2640, 602, 891, 4835, 10605, 16234, 1683, 950, 789, 960, 543, 519, 2042, 789, 2014, 950, 789, 29840, 563, 288, 1353, 5340, 676, 3173, 693, 966, 6387, 321, 2830, 2160, 543, 3370, 538, 519, 4119, 269, 476, 2190, 3390, 540, 519, 4760, 7351, 10334, 24259, 1007, 1769, 593, 713, 3390, 269, 4635, 4544, 25984, 13479, 734, 1492, 14724, 11248, 1634, 547, 4865, 891, 6127, 734, 1492, 3173, 1867, 602, 519, 2640, 540, 6211, 23234, 616, 2047, 5532, 547, 5054, 609, 2834, 1554, 270, 9519, 4783, 543, 11207, 14897, 538, 2175, 540, 3586, 26149, 563, 257, 290, 1844, 6598, 23234, 616, 865, 7839, 602, 649, 1589, 789, 1590, 3986, 519, 8516, 540, 7103, 676, 5355, 741, 2702, 547, 3082, 547, 2825, 7506, 267, 4481, 3232, 2242, 538, 1769, 267, 2837, 543, 11195, 2437, 3081, 14161, 670, 269, 9652, 267, 7548, 540, 6211, 9443, 543, 17394, 4741, 31375, 945, 9859, 519, 1353, 269, 834, 5278, 1004, 723, 1256, 6700, 602, 267, 2899, 11827, 267, 891, 23234, 616, 971, 513, 3532, 10721, 1907, 602, 741, 2640, 979, 3564, 14775, 547, 5007, 9979, 269, 1717, 267, 972, 723, 1044, 18374, 1100, 11826, 4255, 540, 2901, 20790, 4799, 2414, 1449, 891, 2093, 2047, 267, 9652, 781, 1382, 2319, 1031, 4719, 4702, 2553, 547, 4625, 7519, 519, 6211, 23234, 538, 835, 1895, 540, 13479, 543, 547, 14927, 519, 4908, 540, 519, 23234, 538, 513, 694, 1723, 454, 23086, 281, 6424, 674, 269, 6428, 529, 12064, 0, 296, 1087, 826, 1280, 5147, 476, 274, 267, 476, 1220, 277, 454, 2171, 1616, 707, 2055, 256, 6435, 1628, 938, 5399, 540, 6435, 29321, 5999, 676, 26446, 513, 2243, 596, 723, 610, 1131, 899, 547, 1294, 938, 3755, 4431, 547, 269, 3807, 946, 938, 2241, 5680, 1106, 2139, 693, 5291, 2517, 25717, 269, 1263, 1501, 4877, 584, 16746, 12975, 9706, 584, 16746, 25717, 18080, 270, 563, 16240, 7726, 540, 519, 10432, 454, 1607, 568, 2356, 513, 2243, 11643, 676, 606, 744, 310, 299, 3593, 547, 519, 744, 310, 299, 570, 12781, 269, 1403, 596, 723, 513, 2243, 596, 991, 12943, 3533, 267, 2307, 835, 540, 938, 744, 310, 299, 570, 12781, 610, 1289, 519, 5675, 6997, 781, 18049, 12182, 1467, 693, 476, 278, 4792, 268, 5392, 275, 268, 4391, 273, 274, 269, 1656, 3314, 267, 1312, 2533, 616, 1863, 585, 3025, 2336, 10214, 607, 3735, 607, 519, 476, 3583, 781, 594, 729, 6026, 602, 606, 9868, 547, 519, 946, 540, 519, 22543, 9548, 2376, 834, 320, 257, 729, 519, 1913, 8978, 543, 3140, 267, 799, 1058, 1224, 834, 534, 8978, 8317, 257, 610, 834, 534, 3140, 2486, 2668, 22582, 1631, 594, 6415, 7487, 834, 320, 257, 1031, 3079, 734, 13757, 713, 1044, 13798, 1881, 12341, 286, 734, 290, 27821, 454, 12552, 585, 1603, 269, 769, 1977, 2296, 267, 621, 568, 2953, 547, 2328, 1412, 320, 262, 1354, 1913, 602, 2253, 609, 606, 1412, 327, 262, 3280, 267, 971, 607, 1412, 7290, 5566, 9538, 630, 1103, 1249, 267, 538, 1977, 2296, 267, 1603, 834, 534, 3140, 257, 568, 2808, 676, 930, 547, 581, 606, 1860, 566, 8094, 4913, 267, 596, 1131, 1869, 1616, 547, 946, 1412, 534, 262, 1354, 1022, 2262, 4098, 609, 1412, 327, 262, 538, 799, 519, 1412, 327, 262, 568, 14980, 267, 971, 607, 538, 1412, 534, 8956, 9538, 16593, 713, 2337, 563, 763, 744, 310, 299, 6435, 29321, 454, 10376, 3018, 649, 15476, 8830, 16746, 744, 310, 299, 5240, 3988, 262, 13668, 585, 5796, 610, 1344, 543, 519, 6114, 689, 824, 8830, 16746, 744, 310, 299, 5240, 3988, 563, 7069, 4116, 6825, 1055, 930, 540, 1250, 3446, 1317, 594, 5206, 834, 295, 760, 31022, 568, 1114, 982, 22850, 1701, 1261, 1767, 621, 729, 9277, 547, 581, 834, 18528, 5166, 689, 2437, 711, 834, 18528, 5166, 982, 2437, 855, 594, 1869, 1810, 1405, 1174, 1946, 269, 1772, 972, 2731, 1022, 3017, 286, 2107, 568, 646, 1175, 1373, 4584, 344, 286, 4534, 2304, 11345, 454, 6097, 547, 519, 1977, 11595, 8675, 912, 7712, 519, 476, 1240, 628, 2540, 267, 1893, 13915, 723, 2206, 1194, 856, 834, 18528, 5166, 982, 257, 607, 11234, 267, 1498, 621, 568, 1134, 1140, 6479, 538, 519, 1568, 540, 18019, 5830, 269, 4340, 547, 2757, 4808, 267, 834, 5228, 257, 568, 1031, 950, 519, 6476, 568, 1063, 1079, 7606, 610, 1919, 281, 3733, 1433, 568, 1114, 689, 630, 2254, 982, 264, 16523, 269, 834, 17843, 982, 257, 568, 811, 3398, 2406, 1031, 267, 3226, 538, 1977, 6165, 267, 1141, 519, 1843, 540, 6476, 568, 6829, 676, 513, 2407, 16083, 281, 634, 13464, 568, 1114, 982, 621, 729, 476, 736, 1296, 3516, 269, 834, 17843, 689, 257, 949, 581, 1031, 609, 513, 16083, 952, 519, 16083, 6238, 609, 513, 14966, 543, 865, 3252, 607, 513, 10902, 281, 634, 13464, 568, 1114, 689, 875, 621, 729, 476, 736, 1296, 3516, 563, 7712, 596, 616, 9236, 1079, 1919, 267, 1287, 594, 1131, 3858, 609, 707, 4116, 269, 4595, 649, 9327, 1405, 2161, 834, 295, 760, 31022, 568, 2442, 982, 22850, 2437, 610, 834, 295, 760, 31022, 568, 3579, 982, 22850, 2437, 621, 781, 1152, 9266, 602, 596, 9327, 1405, 2161, 834, 311, 568, 1114, 982, 962, 1701, 734, 27144, 267, 962, 758, 2129, 4821, 267, 3567, 454, 10468, 2416, 3903, 540, 1913, 568, 11234, 267, 835, 1373, 606, 3703, 2296, 13283, 543, 519, 824, 1373, 606, 1977, 2296, 13283, 269, 28791, 519, 4116, 814, 9138, 513, 1808, 13172, 267, 2511, 3391, 267, 610, 8675, 547, 946, 267, 519, 4116, 568, 11234, 538, 16287, 1524, 707, 1957, 269, 734, 289, 2784, 645, 454, 8133, 267, 707, 4116, 568, 1373, 513, 2370, 4584, 344, 267, 855, 1010, 3483, 568, 547, 1397, 596, 519, 1034, 4922, 11807, 6165, 269, 1261, 781, 711, 519, 1152, 835, 945, 1522, 1843, 547, 834, 18528, 5166, 982, 1701, 3807, 585, 519, 1187, 540, 621, 267, 5616, 834, 18528, 5166, 689, 1114, 982, 257, 543, 2972, 519, 4901, 269, 3733, 5172, 568, 5291, 2517, 4178, 12500, 691, 548, 2421, 2593, 270, 6924, 270, 4391, 270, 8146, 278, 11258, 269, 1879, 649, 1174, 1946, 835, 3903, 568, 1114, 689, 270, 22474, 1776, 267, 649, 1118, 5923, 518, 3664, 269, 734, 27144, 17664, 518, 267, 2160, 540, 15930, 267, 3567, 454, 296, 3357, 2066, 713, 1354, 543, 1336, 606, 2626, 538, 5899, 6064, 543, 6519, 781, 634, 15689, 540, 13910, 630, 3192, 273, 2567, 834, 17843, 982, 269, 3371, 7954, 7028, 3964, 6165, 281, 835, 3364, 15320, 689, 1776, 267, 8754, 1114, 689, 269, 2107, 267, 824, 982, 267, 7429, 257, 630, 2457, 476, 4510, 1040, 4746, 267, 2015, 713, 689, 3848, 10001, 267, 9293, 543, 25285, 28871, 16700, 4310, 281, 834, 6624, 540, 519, 1913, 543, 7215, 7396, 1934, 616, 711, 865, 1454, 3983, 2296, 607, 3983, 2511, 267, 519, 28125, 540, 1416, 1652, 1603, 1701, 734, 289, 3419, 527, 3279, 674, 5585, 267, 6276, 13648, 2160, 267, 5245, 454, 763, 3044, 8239, 6920, 602, 596, 946, 834, 22474, 257, 609, 519, 1739, 10659, 281, 834, 3467, 1341, 18781, 1341, 982, 2580, 834, 1652, 1341, 18781, 1341, 982, 257, 610, 606, 18781, 10678, 538, 29038, 518, 257, 1341, 982, 269, 1809, 834, 18528, 5166, 257, 3112, 581, 5916, 609, 834, 3467, 257, 610, 834, 1652, 257, 547, 5635, 282, 596, 946, 621, 267, 538, 1249, 267, 607, 606, 4244, 2497, 585, 9236, 630, 21353, 1227, 547, 2161, 602, 1945, 568, 711, 2147, 547, 1945, 3116, 1040, 18564, 538, 1250, 3105, 4845, 602, 594, 723, 1031, 1776, 6476, 2497, 281, 834, 13678, 1791, 547, 257, 630, 4818, 732, 713, 2497, 547, 834, 553, 1341, 18781, 1341, 607, 264, 711, 834, 13678, 1791, 982, 8487, 2414, 2040, 909, 267, 972, 616, 1614, 7399, 950, 9236, 630, 27273, 1640, 640, 30032, 2536, 1640, 640, 267, 7862, 4882, 25630, 640, 267, 543, 8635, 7933, 1170, 25630, 640, 264, 543, 1142, 2497, 814, 513, 1114, 1106, 269, 1548, 596, 616, 3257, 950, 1210, 834, 18528, 5166, 982, 257, 568, 11544, 513, 27166, 30032, 2536, 1640, 640, 2497, 609, 513, 8635, 7933, 1170, 25630, 640, 2497, 269, 18564, 602, 519, 6587, 540, 834, 18528, 5166, 689, 257, 568, 834, 13678, 1791, 547, 257, 734, 684, 3697, 267, 585, 1383, 267, 834, 3467, 1271, 982, 257, 1373, 519, 6587, 540, 834, 1652, 1271, 982, 2668, 734, 3674, 2742, 601, 1488, 21590, 267, 28925, 267, 10713, 21059, 2717, 924, 322, 333, 3821, 454, 8310, 19496, 267, 930, 540, 1250, 1053, 4941, 547, 946, 741, 21075, 593, 18248, 3455, 2593, 610, 2473, 18553, 2593, 547, 1711, 741, 3803, 2823, 31987, 269, 2311, 519, 942, 267, 594, 5143, 873, 789, 7948, 1405, 269, 1809, 1631, 594, 5855, 594, 729, 1932, 7453, 269, 13201, 4896, 4847, 1053, 547, 2022, 2823, 31987, 610, 824, 1603, 10467, 593, 21075, 286, 1403, 865, 267, 1018, 941, 707, 24221, 540, 3850, 1053, 547, 798, 602, 286, 8729, 256, 4534, 17442, 675, 333, 267, 4864, 320, 267, 21781, 454, 296, 2196, 513, 4357, 1893, 1153, 267, 865, 1250, 3510, 1522, 581, 1114, 982, 16523, 282, 2705, 267, 2094, 18248, 3455, 4667, 513, 3787, 1932, 13680, 585, 20171, 513, 14769, 267, 1946, 1810, 1405, 596, 946, 3503, 569, 2593, 888, 2237, 569, 13071, 803, 2022, 10467, 2228, 267, 13071, 803, 1852, 945, 814, 1569, 547, 519, 3561, 267, 543, 13071, 1250, 1053, 2170, 609, 803, 3842, 741, 3561, 538, 1483, 942, 269, 898, 568, 513, 1390, 1907, 585, 3610, 543, 1053, 547, 2170, 609, 1142, 824, 2228, 2173, 1276, 1732, 982, 18248, 3455, 269, 734, 27144, 267, 962, 758, 2129, 4821, 267, 3567, 454, 29394, 781, 8074, 281, 634, 8830, 16746, 744, 310, 299, 5240, 1281, 711, 23596, 3503, 569, 2593, 610, 1022, 824, 5680, 2861, 1603, 3301, 610, 3028, 5018, 538, 519, 8830, 16746, 744, 310, 299, 5240, 563, 17442, 675, 333, 267, 594, 723, 4847, 1053, 547, 1711, 513, 5816, 607, 606, 7084, 543, 6068, 621, 269, 4256, 7084, 729, 547, 1382, 606, 6221, 540, 2029, 267, 5815, 875, 621, 814, 4957, 936, 519, 1296, 543, 654, 14176, 267, 543, 9472, 875, 621, 1522, 1689, 538, 519, 2104, 543, 654, 14176, 630, 6343, 1131, 581, 6117, 602, 1689, 1040, 1358, 2813, 5094 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7500, 621, 585, 476, 1789, 2395, 693, 12652, 476, 274, 269, 876, 829, 737, 310, 554, 2496, 7078, 476, 1321, 269, 1015, 910, 1323, 3167, 4401, 27499, 1648, 693, 513, 2557, 540, 476, 279, 2412, 654, 950, 8022, 568, 693, 519, 5021, 2557, 543, 476, 11740, 654, 950, 519, 8022, 568, 693, 5934, 269, 634, 6453, 568, 476, 13136, 966, 269, 1548, 616, 519, 1699, 543, 519, 4187, 538, 1142, 2013, 2496, 9223, 476, 1724, 910, 4855, 856, 519, 1739, 538, 519, 3167, 5547, 2016, 538, 7612, 476, 1321, 269, 280, 454, 5416, 264, 13229, 4187, 540, 1079, 476, 279, 654, 27856, 538, 519, 4999, 454, 6357, 264, 7351, 13576, 998, 476, 275, 654, 19919, 454, 6262, 264, 15783, 3017, 2066, 476, 275, 654, 4187, 454, 5560, 264, 5295, 26632, 730, 538, 476, 275, 654, 19919, 454, 16216, 264, 16338, 538, 993, 31461, 13220, 267, 952, 1022, 780, 2162, 3690, 5296, 692, 1692, 568, 5295, 16754, 14216, 1882, 286, 1284, 917, 602, 15783, 16338, 815, 630, 11027, 31976, 488, 11027, 31976, 506, 11027, 31976, 509, 11027, 31976, 502, 12631, 31976, 495, 11027, 31976, 506, 11027, 31976, 505, 11027, 31976, 496, 8358, 11027, 16807, 494, 394, 484, 15512, 382, 482, 382, 492, 11027, 31976, 492, 11027, 31976, 509, 11027, 31976, 498, 11027, 31976, 496, 966, 815, 12631, 31976, 488, 270, 11027, 31976, 482, 654, 815, 966, 304, 3767, 267, 5295, 815, 630, 11027, 31976, 488, 11027, 31976, 506, 11027, 31976, 509, 11027, 31976, 502, 12631, 31976, 495, 11027, 31976, 506, 11027, 31976, 505, 11027, 31976, 496, 19422, 11027, 31976, 485, 11027, 31976, 500, 11027, 31976, 504, 11027, 31976, 496, 12631, 21638, 8072, 11027, 31976, 492, 11027, 31976, 502, 11027, 31976, 496, 11027, 31976, 505, 264, 623, 815, 12631, 31976, 488, 270, 11027, 21638, 8072, 16061, 19050, 22935, 263, 272, 264, 32027, 654, 815, 966, 304, 623, 815, 12631, 31976, 487, 11027, 31976, 482, 270, 11027, 21638, 8072, 623, 815, 966, 630, 11027, 31976, 482, 270, 11027, 21638, 8072, 264, 623, 815, 17886, 4935, 267, 5295, 815, 30579, 3852, 497, 382, 501, 7351, 7756, 4813, 10358, 585, 5295, 1284, 917, 602, 623, 815, 966, 3852, 497, 382, 501, 594, 32027, 966, 815, 16843, 623, 815, 16843, 3852, 497, 382, 501, 594, 623, 815, 594, 273, 305, 1284, 917, 602, 966, 815, 16843, 594, 815, 12631, 31976, 487, 270, 11027, 21638, 382, 483, 32027, 594, 815, 12631, 21638, 16006, 270, 11027, 21638, 394, 487, 623, 815, 966, 3852, 497, 382, 501, 12631, 31976, 487, 270, 11027, 21638, 382, 483, 623, 815, 12631, 31976, 487, 317, 273, 270, 11027, 21638, 0, 1012, 13723, 267, 2904, 476, 1626, 267, 476, 1001, 273, 692, 2162, 20861, 281, 26850, 609, 2725, 2372, 2830, 13332, 692, 2026, 16219, 594, 630, 300, 1122, 534, 264, 723, 513, 5850, 547, 2671, 2221, 256, 476, 1109, 312, 599, 256, 2433, 264, 476, 1109, 2005, 568, 2141, 1655, 547, 9153, 513, 5850, 267, 602, 1259, 594, 2965, 630, 17141, 264, 1246, 998, 780, 296, 993, 2469, 547, 946, 513, 2656, 543, 2653, 1505, 585, 2870, 10760, 2520, 3150, 269, 476, 1109, 763, 2979, 585, 10760, 2520, 3150, 814, 2141, 16207, 803, 267, 865, 952, 594, 4312, 2877, 513, 1808, 2450, 621, 14129, 803, 856, 547, 2119, 547, 1205, 621, 1318, 256, 476, 1109, 3719, 594, 6368, 23125, 856, 519, 8945, 256, 476, 1109, 312, 599, 256, 594, 1589, 594, 4312, 1044, 11259, 538, 519, 2250, 1317, 621, 3085, 1405, 2285, 513, 834, 13133, 1399, 257, 1297, 630, 773, 476, 273, 476, 278, 270, 279, 8442, 538, 519, 1439, 269, 476, 1109, 3719, 693, 2547, 621, 568, 835, 2241, 4542, 1169, 942, 269, 476, 1109, 3383, 713, 568, 519, 4542, 269, 476, 1109, 2791, 1058, 1039, 476, 278, 270, 279, 257, 547, 1018, 596, 1616, 519, 8737, 2450, 540, 707, 834, 20391, 257, 10945, 269, 476, 1109, 2791, 1058, 1039, 476, 272, 476, 272, 270, 275, 257, 547, 1018, 596, 1616, 519, 8737, 2450, 540, 707, 834, 613, 3150, 257, 10945, 269, 476, 1109, 18183, 4310, 286, 476, 1109, 296, 3513, 1397, 596, 1934, 1384, 19226, 1639, 7306, 594, 4941, 585, 631, 2174, 320, 2983, 3150, 630, 331, 24147, 264, 729, 476, 273, 257, 1535, 476, 275, 2668, 476, 1109, 3383, 585, 519, 6607, 594, 2759, 519, 4773, 476, 273, 476, 278, 270, 279, 257, 1535, 476, 273, 476, 278, 270, 279, 257, 543, 585, 519, 544, 2174, 320, 2520, 3150, 594, 2759, 519, 4773, 476, 276, 476, 272, 270, 275, 257, 1535, 476, 276, 476, 272, 270, 275, 2668, 476, 1109, 2690, 519, 17926, 2983, 3150, 630, 20791, 518, 264, 594, 4941, 519, 8737, 2450, 540, 476, 272, 257, 1535, 476, 273, 2668, 476, 1109, 3383, 585, 519, 6607, 594, 2759, 519, 4773, 476, 272, 476, 278, 270, 279, 257, 1535, 476, 272, 476, 278, 270, 279, 257, 543, 585, 519, 4816, 2520, 3150, 594, 2759, 519, 4773, 476, 274, 476, 272, 270, 275, 257, 1535, 476, 274, 476, 272, 270, 275, 2668, 476, 1109, 8450, 2630, 585, 5969, 4170, 1384, 10376, 2520, 3150, 4009, 3096, 2185, 6607, 10945, 282, 27548, 476, 275, 10760, 2520, 3150, 269, 476, 1109, 294, 1516, 513, 2698, 540, 476, 1321, 10760, 2520, 3150, 1142, 585, 631, 2174, 320, 543, 17926, 780, 2252, 596, 723, 711, 2938, 610, 1031, 713, 1505, 1354, 5965, 547, 581, 11821, 267, 5594, 24084, 2989, 267, 11821, 1586, 543, 1287, 589, 7246, 313, 3633, 256, 2433, 264, 476, 1109, 4263, 2547, 602, 729, 875, 594, 5433, 519, 1101, 942, 594, 6836, 621, 2433, 264, 476, 1109, 9359, 676, 5373, 513, 1899, 689, 7944, 547, 7944, 593, 1142, 6607, 4062, 269, 476, 1109, 28989, 585, 519, 1659, 995, 8666, 780, 9202, 1491, 1079, 6607, 4773, 543, 1747, 873, 538, 6587, 15174, 540, 519, 1482, 2520, 3150, 4062, 269, 476, 1109, 5445, 786, 16937, 513, 2370, 538, 519, 1647, 269, 476, 1109, 306, 1168, 476, 272, 270, 275, 257, 593, 1142, 2427, 540, 519, 1899, 269, 476, 1109, 29493, 1524, 519, 1899, 780, 18208, 519, 1079, 6607, 12730, 693, 519, 1283, 856, 267, 519, 4062, 786, 2186, 540, 1413, 899, 513, 2295, 269, 476, 1109, 12648, 1776, 6607, 4009, 543, 1747, 621, 593, 519, 6967, 7944, 540, 519, 2520, 3150, 4062, 269, 476, 1109, 306, 1168, 476, 272, 270, 275, 257, 593, 1142, 2427, 540, 519, 1899, 267, 2759, 1524, 519, 1899, 543, 2046, 856, 269, 476, 1109, 3725, 701, 520, 593, 782, 4773, 2394, 596, 723, 476, 1321, 631, 2174, 320, 2983, 3150, 543, 476, 1321, 17926, 2983, 3150, 2439, 8649, 18968, 8627, 674, 3599, 1318, 286, 2496, 303, 19991, 519, 2520, 3150, 593, 1283, 540, 1142, 824, 267, 1079, 9343, 609, 476, 277, 631, 2174, 320, 2983, 3150, 543, 835, 4737, 540, 519, 17926, 2983, 3150, 780, 303, 19991, 1927, 2427, 547, 2427, 1862, 780, 11754, 519, 10665, 547, 1142, 2427, 543, 596, 4312, 3893, 835, 26850, 2060, 2725, 2372, 2830, 13332, 267, 476, 1321, 257, 1535, 476, 1321, 6231, 296, 993, 1210, 713, 3625, 538, 938, 13332, 540, 519, 13600, 3126, 267, 4873, 781, 6249, 568, 674, 2391, 2983, 3150, 2439, 28775, 596, 2972, 519, 5850, 543, 3625, 256, 476, 1109, 293, 3975, 3724, 593, 18862, 616, 865, 1390, 543, 1577, 803, 917, 952, 596, 1294, 1022, 2042, 267, 5225, 256, 2433, 264, 476, 1109, 9827, 952, 596, 946, 713, 5850, 5225, 3095, 1394, 547, 938, 3135, 267, 649, 2731, 5660, 621, 2439, 9617, 8349, 1767, 13718, 296, 865, 1616, 547, 2119, 713, 256, 1411, 1118, 621, 1413, 2653, 734, 628, 3471, 585, 519, 5850, 2439, 303, 6222, 320, 1767, 13718, 763, 2979, 593, 713, 814, 2141, 16207, 803, 910, 865, 1454, 865, 602, 594, 2057, 10760, 2520, 3150, 899, 519, 20575, 1256, 1498, 594, 2648, 789, 1259, 789, 1413, 269, 594, 1412, 20459, 262, 594, 1205, 1018, 596, 2811, 6031, 1934, 2433, 264, 543, 786, 2285, 621, 513, 627, 20071, 269, 8729, 865, 1454, 780, 291, 7702, 267, 519, 2372, 559, 614, 1767, 13718, 303, 3430, 328, 18722, 8843, 513, 7824, 585, 713, 1184, 593, 1200, 3896, 269, 634, 3095, 568, 912, 10674, 2517, 4178, 4877, 2255, 20355, 2593, 11721, 3796, 11721, 2391, 613, 3150, 15005, 692, 296, 4312, 6854, 513, 9102, 5299, 540, 1200, 7824, 538, 513, 2985, 2149, 528, 2282, 1250, 22927, 6191, 585, 1296, 269, 1306, 596, 4312, 4362, 267, 621, 781, 513, 2731, 1187, 1259, 547, 1711, 2185, 10760, 2520, 3150, 538, 513, 31657, 780, 12328, 4708, 1767, 13718, 1607, 568, 865, 12905, 585, 803, 607, 519, 25633, 304, 294, 568, 2348, 513, 13520, 543, 1896, 5171, 616, 6998, 585, 674, 2391, 2983, 3150, 7161, 269, 11289, 596, 1535, 476, 272, 267, 1822, 267, 1822, 780, 297, 600, 773, 10557, 1767, 13718, 1607, 568, 2731, 1390, 269, 594, 993, 1433, 5658, 532, 519, 2985, 865, 594, 666, 979, 1394, 547, 621, 269, 8729, 585, 513, 1390, 5850, 2439, 303, 3430, 328, 1767, 13718, 14188, 596, 865, 1360, 1454, 269, 901, 568, 1175, 1018, 594, 4941, 543, 2877, 269, 594, 729, 17512, 1881, 540, 674, 2391, 2983, 3150, 855, 1100, 811, 269, 594, 993, 9090, 2469, 547, 581, 1818, 713, 32154, 3625, 780, 298, 13873, 1767, 13718, 15124, 2520, 3150, 5850, 256, 594, 6415, 9494, 621, 585, 2104, 4704, 269, 2659, 3732, 568, 2731, 7168, 2439, 12552, 267, 27239, 692, 10674, 2517, 30344, 752, 330, 269, 4565, 17344, 269, 7224, 270, 1767, 13718, 14188, 596, 585, 713, 5850, 269, 901, 3923, 594, 6415, 2469, 547, 1118, 519, 1482, 3625, 607, 596, 269, 18786, 1175, 1631, 269, 0, 12709, 476, 6892, 476, 1109, 19061, 338, 6892, 476, 1109, 16987, 9323, 6892, 476, 1109, 290, 1844, 7057, 6892, 476, 1109, 763, 800, 6892, 476, 1109, 13993, 8104, 6892, 476, 1109, 303, 2975, 20861, 338, 6892, 476, 1109, 11742, 585, 3163, 692, 2420, 4728, 476, 1220, 280, 454, 12041, 281, 717, 1640, 326, 657, 32303, 541, 573, 529, 454, 763, 7167, 659, 3218, 692, 1432, 568, 513, 19218, 692, 288, 19218, 568, 513, 3926, 602, 814, 1079, 4496, 10824, 5116, 538, 6252, 269, 1452, 10824, 616, 27647, 545, 9678, 630, 7224, 1797, 540, 5122, 3346, 1063, 873, 1040, 9737, 891, 10824, 267, 972, 568, 519, 30526, 1570, 269, 901, 1570, 666, 581, 4376, 899, 2011, 267, 3282, 267, 1957, 267, 17375, 267, 544, 3821, 267, 607, 1279, 607, 621, 1281, 711, 1711, 5122, 3346, 269, 589, 11315, 5373, 540, 519, 3330, 540, 513, 19218, 568, 607, 5205, 1384, 2080, 616, 930, 1455, 6698, 540, 29522, 1031, 538, 12400, 1384, 1692, 1281, 513, 19218, 960, 692, 22428, 649, 723, 519, 1739, 5547, 1384, 2691, 6453, 568, 4294, 547, 621, 781, 10824, 267, 606, 3167, 2361, 568, 6383, 1063, 873, 4929, 513, 1713, 3017, 540, 1863, 9211, 547, 1020, 1063, 621, 781, 10824, 269, 5131, 9211, 616, 7142, 547, 5531, 593, 519, 2942, 4448, 6676, 543, 689, 519, 2318, 4448, 6676, 1863, 9211, 616, 3144, 2476, 269, 901, 568, 519, 6041, 540, 519, 5279, 1198, 540, 519, 19218, 269, 634, 3152, 1297, 540, 9211, 8701, 1242, 267, 519, 3152, 2361, 6383, 543, 519, 3152, 5279, 540, 519, 19218, 269, 1879, 519, 19218, 568, 30890, 689, 519, 1379, 3761, 267, 621, 786, 2611, 9901, 269, 1323, 4998, 19218, 1131, 2611, 9901, 22543, 17802, 855, 538, 2259, 713, 568, 711, 2009, 1813, 547, 513, 13581, 24694, 1699, 602, 568, 3361, 1063, 621, 781, 10824, 780, 763, 19218, 1568, 607, 513, 4452, 543, 607, 513, 2707, 593, 513, 5547, 269, 901, 568, 3254, 538, 519, 1739, 6516, 1384, 1103, 2013, 630, 320, 1070, 519, 19218, 568, 4448, 547, 519, 1379, 2707, 269, 4438, 621, 781, 12123, 942, 267, 621, 1568, 607, 513, 4452, 5373, 1699, 689, 519, 2707, 2394, 621, 568, 4625, 9901, 269, 769, 2013, 630, 321, 1070, 519, 19218, 1568, 607, 513, 2707, 269, 898, 17579, 525, 621, 781, 9211, 547, 519, 4452, 269, 18564, 519, 4287, 540, 519, 1699, 538, 1142, 2013, 780, 15612, 908, 31887, 692, 763, 2179, 540, 31887, 602, 513, 19218, 666, 3035, 5673, 593, 1614, 4162, 269, 3689, 540, 782, 519, 2450, 540, 519, 10824, 269, 634, 8273, 519, 10824, 267, 519, 8273, 31887, 269, 634, 3845, 540, 519, 10824, 568, 9258, 14354, 547, 519, 31887, 269, 634, 3476, 519, 3845, 267, 519, 4130, 519, 31887, 269, 7053, 267, 519, 1826, 540, 30526, 1570, 1063, 519, 10824, 269, 32027, 621, 782, 1927, 267, 519, 4542, 585, 12719, 519, 31887, 568, 607, 5205, 1384, 290, 815, 552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16806, 269, 634, 27379, 779, 14077, 2285, 1200, 13344, 1519, 14446, 267, 6526, 27509, 267, 543, 824, 1490, 10537, 5428, 540, 13284, 1127, 269, 589, 2027, 1696, 1172, 9508, 8602, 568, 5340, 538, 513, 18911, 3534, 2030, 269, 634, 10516, 540, 562, 12112, 18649, 849, 2882, 606, 3617, 547, 5957, 519, 9099, 2212, 695, 1177, 331, 1634, 607, 606, 705, 11535, 563, 1103, 4457, 6197, 267, 1141, 519, 27379, 779, 9419, 787, 4465, 1406, 2097, 689, 1200, 1920, 20866, 689, 1200, 535, 4800, 779, 1920, 1770, 267, 519, 1007, 27379, 3028, 568, 3957, 29399, 795, 26820, 269, 634, 4179, 2517, 1962, 728, 7302, 520, 2593, 270, 27379, 779, 1753, 3947, 1200, 9419, 787, 538, 18839, 585, 1200, 21412, 547, 19533, 519, 4166, 3562, 15515, 9393, 269, 4173, 23947, 543, 1453, 1281, 711, 4122, 7119, 538, 519, 9419, 787, 21649, 1554, 269, 5502, 267, 789, 8956, 519, 19081, 543, 2628, 585, 1010, 27379, 779, 12014, 269, 634, 1007, 27379, 3902, 607, 1134, 3322, 519, 8569, 540, 513, 1978, 2179, 540, 2724, 2509, 519, 19081, 1247, 606, 1569, 13927, 585, 519, 16008, 269, 634, 1007, 27379, 3902, 568, 3335, 3152, 982, 519, 9419, 787, 5631, 1317, 538, 930, 2127, 538, 595, 2088, 267, 2367, 4309, 519, 3903, 540, 9878, 519, 27379, 3902, 11090, 2933, 3079, 540, 4758, 519, 9419, 787, 2509, 519, 1920, 540, 519, 27379, 269, 0, 288, 14736, 4752, 540, 23068, 10432, 538, 570, 1370, 517, 5956, 609, 513, 5147, 476, 279, 628, 2542, 540, 519, 16672, 540, 14412, 563, 263, 293, 1057, 2575, 267, 5225, 1916, 763, 20396, 4967, 267, 968, 2171, 3180, 891, 18408, 547, 581, 1582, 17272, 1211, 267, 602, 782, 2367, 616, 2813, 3160, 267, 602, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 7126, 267, 602, 1851, 891, 616, 5020, 267, 23068, 543, 519, 13287, 540, 19732, 1465, 3034, 20175, 995, 1913, 602, 1118, 1082, 2136, 2276, 540, 3013, 7264, 543, 4961, 10583, 547, 581, 606, 1977, 543, 646, 15077, 547, 971, 15626, 15752, 563, 4913, 267, 972, 779, 602, 968, 5443, 892, 851, 799, 2965, 26518, 968, 19669, 892, 9038, 2443, 711, 2021, 267, 711, 2051, 648, 1091, 610, 27740, 525, 267, 6862, 7087, 1004, 282, 711, 1306, 2103, 267, 15776, 321, 2103, 267, 5165, 15092, 267, 3092, 269, 543, 6157, 711, 10437, 563, 24171, 16962, 543, 18148, 15284, 267, 1079, 540, 519, 20396, 779, 1292, 20334, 267, 11262, 1004, 607, 3959, 269, 1924, 267, 1022, 2856, 540, 7862, 585, 782, 968, 5443, 892, 1131, 723, 5921, 5191, 585, 782, 2367, 563, 8649, 5074, 569, 267, 543, 519, 530, 4526, 1934, 3091, 9489, 1996, 707, 1810, 7491, 267, 1034, 7330, 7264, 917, 4986, 827, 16962, 779, 3801, 547, 1331, 606, 4550, 1606, 18561, 16083, 538, 519, 16672, 540, 14412, 563, 297, 27889, 3205, 267, 538, 606, 2038, 4528, 540, 519, 20396, 267, 4050, 2740, 513, 476, 12739, 30087, 8574, 602, 28715, 8474, 4352, 513, 3803, 8908, 16934, 1010, 1913, 602, 1131, 723, 4957, 519, 1576, 540, 772, 2529, 269, 1686, 563, 297, 27889, 3205, 267, 945, 26518, 8474, 607, 606, 968, 553, 5145, 331, 720, 540, 3520, 5558, 2223, 2300, 528, 7007, 6628, 779, 3751, 6723, 607, 4487, 332, 785, 585, 519, 10553, 4123, 563, 2108, 3891, 814, 530, 3042, 16970, 2112, 1996, 1480, 2470, 3294, 267, 3423, 908, 922, 1034, 10723, 2924, 540, 1272, 1299, 15698, 538, 519, 7606, 540, 513, 11397, 1004, 945, 2760, 1055, 2105, 1864, 267, 9159, 1299, 8876, 873, 883, 8474, 538, 1776, 21571, 610, 547, 1651, 584, 3765, 30514, 2669, 538, 741, 6283, 555, 2416, 2223, 16962, 5206, 267, 3592, 1033, 3737, 689, 519, 1671, 5224, 7088, 540, 6125, 720, 18188, 4724, 519, 17113, 563, 21156, 267, 20396, 18793, 6450, 4157, 539, 519, 28112, 15967, 540, 519, 3703, 13862, 267, 14437, 827, 7862, 543, 538, 531, 1329, 762, 2924, 1287, 1904, 539, 585, 1743, 644, 326, 2044, 543, 1480, 19338, 267, 8474, 267, 543, 16221, 18913, 1799, 7394, 2853, 1519, 22149, 267, 18215, 993, 1584, 566, 267, 1920, 9552, 267, 543, 561, 2106, 4221, 563, 3383, 267, 713, 11016, 2542, 540, 519, 20396, 676, 27411, 9774, 529, 11833, 540, 570, 1370, 517, 543, 519, 4975, 540, 570, 1370, 517, 4972, 540, 28046, 267, 7849, 8249, 543, 9177, 2115, 513, 16083, 267, 5310, 1256, 513, 10682, 540, 968, 5443, 892, 585, 968, 15161, 892, 2443, 607, 513, 2186, 540, 1007, 4287, 267, 513, 1007, 4308, 585, 782, 540, 721, 563, 763, 2736, 12537, 689, 4279, 6628, 543, 1615, 340, 766, 540, 713, 3561, 15181, 519, 2282, 21933, 28375, 540, 7111, 4892, 267, 3964, 513, 10553, 4123, 602, 12936, 4563, 2729, 689, 4000, 2429, 519, 12144, 543, 21022, 2729, 540, 2021, 563, 763, 2244, 540, 3162, 25303, 853, 269, 1141, 27069, 6105, 786, 1964, 622, 20396, 13821, 267, 20705, 547, 519, 31143, 328, 6441, 523, 1901, 17650, 531, 13780, 269, 3143, 533, 1105, 618, 2242, 602, 1249, 6862, 519, 20185, 602, 741, 2729, 543, 1686, 723, 4810, 513, 2282, 3043, 31683, 563, 4462, 1652, 519, 27411, 9774, 529, 11833, 543, 4975, 540, 570, 1370, 517, 11760, 519, 3978, 26418, 906, 3823, 1272, 267, 15698, 543, 13287, 540, 8788, 540, 7111, 4892, 543, 4563, 18939, 1287, 713, 1857, 2680, 16034, 607, 4797, 18259, 563, 2026, 728, 689, 1373, 513, 13274, 577, 11017, 585, 4683, 8425, 30826, 267, 1148, 22595, 513, 2990, 602, 666, 1764, 1514, 1689, 563, 2690, 3236, 267, 23134, 779, 15966, 6621, 20989, 543, 9061, 30030, 20989, 7577, 538, 1715, 19839, 1873, 1157, 1118, 513, 2147, 23318, 1991, 547, 12644, 563, 13828, 11760, 519, 2244, 2390, 799, 9458, 543, 22407, 5531, 267, 6818, 607, 851, 540, 519, 2757, 8513, 540, 519, 31143, 328, 6441, 523, 1901, 267, 1572, 968, 299, 523, 1901, 327, 3183, 563, 13828, 5238, 3398, 519, 31143, 328, 6441, 523, 1901, 607, 519, 3312, 1004, 540, 713, 2244, 543, 741, 4797, 2078, 609, 741, 8513, 269, 5637, 14751, 519, 8321, 566, 540, 519, 1390, 22255, 1901, 12751, 570, 16120, 754, 267, 602, 972, 581, 10103, 1063, 519, 6805, 1004, 540, 713, 2244, 543, 519, 18939, 540, 519, 11082, 547, 713, 2244, 267, 968, 553, 1279, 607, 519, 8933, 543, 524, 872, 802, 2095, 267, 543, 519, 3141, 267, 7599, 267, 543, 6801, 19542, 3034, 18250, 290, 6621, 9739, 922, 5692, 607, 606, 968, 641, 1636, 29774, 267, 543, 17979, 607, 606, 6575, 543, 2528, 9872, 547, 9784, 543, 2671, 519, 2984, 543, 5380, 540, 782, 267, 543, 547, 22299, 513, 811, 12581, 267, 3309, 267, 8537, 267, 543, 3015, 2104, 563, 2108, 3528, 2502, 538, 713, 18532, 2259, 267, 649, 2832, 547, 7519, 519, 2144, 5501, 540, 519, 7087, 1004, 538, 938, 2950, 543, 16436, 811, 5168, 540, 519, 1686, 540, 713, 2244, 269, 1284, 798, 713, 856, 540, 2463, 585, 519, 7087, 9082, 543, 741, 5389, 267, 607, 1134, 607, 606, 7071, 540, 741, 1686, 543, 519, 8622, 8540, 602, 2392, 7631, 2299, 3043, 5238, 971, 607, 15966, 6621, 723, 28322, 689, 17091, 543, 922, 2360, 269, 1284, 16436, 596, 547, 6443, 721, 538, 713, 957, 540, 11009, 543, 5000, 596, 547, 26595, 707, 1565, 3460, 609, 23600, 563, 1607, 1565, 3460, 7569, 5168, 581, 5143, 267, 7132, 267, 26845, 585, 4049, 3765, 25074, 269, 7102, 4126, 585, 5198, 21047, 3340, 19969, 543, 21548, 563, 763, 617, 648, 26436, 267, 513, 476, 866, 628, 2540, 20552, 626, 543, 5149, 4115, 14012, 267, 9447, 891, 1913, 4749, 11911, 547, 4860, 269, 3220, 269, 9410, 13162, 3751, 267, 12789, 563, 14881, 798, 711, 27642, 547, 1174, 519, 5837, 7122, 282, 519, 9095, 568, 513, 1279, 835, 267, 1250, 3750, 10301, 855, 2370, 2081, 282, 594, 3112, 5173, 519, 7455, 543, 2347, 519, 4137, 676, 519, 1995, 540, 8289, 282, 594, 666, 10143, 621, 676, 25903, 269, 1656, 689, 1018, 594, 1294, 594, 993, 2386, 621, 536, 1742, 4724, 5126, 3034, 7661, 267, 835, 3510, 15991, 11527, 8460, 519, 8748, 3646, 1500, 676, 27411, 9774, 529, 3906, 2429, 519, 1158, 269, 8409, 7341, 723, 9797, 12936, 519, 2729, 540, 1453, 543, 1082, 1866, 585, 811, 982, 513, 2540, 563, 2304, 1256, 1732, 1158, 19179, 1080, 950, 649, 3068, 938, 2250, 25473, 267, 711, 3541, 529, 1947, 855, 609, 7287, 547, 7816, 563, 18744, 1287, 786, 649, 1847, 4724, 513, 811, 3501, 9769, 540, 1004, 267, 782, 540, 721, 2443, 1927, 563, 299, 6993, 269, 26436, 568, 513, 570, 1370, 20897, 6241, 626, 269, 4855, 1864, 593, 12108, 7711, 299, 4338, 1046, 518, 277, 610, 4757, 1864, 693, 4757, 11333, 2593, 269, 0, 288, 3630, 5069, 12493, 729, 4535, 476, 1220, 1296, 3516, 2221, 269, 594, 4898, 1018, 646, 1131, 1589, 540, 519, 2136, 2276, 543, 519, 2622, 952, 646, 941, 9800, 2221, 269, 1452, 616, 930, 7270, 602, 616, 26621, 519, 22833, 550, 27812, 540, 1010, 4332, 543, 723, 5140, 1344, 593, 519, 812, 267, 1010, 1920, 543, 1010, 1272, 269, 594, 4898, 875, 1082, 540, 938, 11937, 949, 723, 1185, 930, 4276, 547, 1864, 1282, 1010, 10715, 267, 2523, 1354, 646, 2968, 4583, 888, 302, 24810, 8549, 6554, 13505, 585, 14062, 12493, 645, 545, 550, 27812, 476, 1220, 280, 454, 763, 960, 585, 713, 3135, 543, 1082, 16873, 540, 12493, 779, 1272, 543, 960, 814, 1044, 538, 3356, 585, 513, 1279, 942, 269, 898, 568, 513, 5313, 10243, 269, 4658, 945, 13984, 519, 1883, 16694, 8400, 693, 519, 18966, 540, 2637, 7002, 16479, 5081, 7724, 476, 1220, 277, 10985, 538, 11785, 4862, 8189, 4759, 29049, 6816, 10966, 7040, 12751, 10456, 7671, 808, 269, 13879, 2911, 827, 519, 8189, 543, 922, 960, 269, 3509, 2829, 723, 606, 4013, 10243, 543, 519, 1463, 6402, 616, 593, 713, 3896, 269, 1452, 543, 824, 2829, 723, 13222, 12912, 547, 960, 609, 519, 8189, 269, 1496, 296, 1589, 713, 3135, 568, 1373, 10514, 12023, 609, 11564, 2221, 543, 594, 729, 8572, 547, 1205, 621, 547, 1930, 267, 855, 786, 1832, 3843, 24358, 763, 17996, 14062, 12493, 645, 545, 550, 27812, 8189, 454, 31690, 11181, 729, 4535, 543, 6170, 1010, 1296, 2394, 476, 4489, 277, 538, 519, 32095, 2102, 6807, 267, 17996, 1858, 269, 32095, 2102, 6807, 568, 538, 2221, 779, 5487, 305, 826, 6019, 855, 621, 729, 538, 10434, 514, 6019, 693, 519, 942, 269, 594, 1419, 4898, 952, 1250, 1378, 1453, 543, 6264, 18244, 723, 606, 22660, 610, 23013, 945, 6785, 519, 12493, 543, 1644, 3885, 607, 741, 533, 11189, 11937, 5030, 538, 5682, 6019, 267, 5045, 540, 2221, 779, 5487, 305, 826, 6019, 563, 763, 18518, 14062, 12493, 645, 545, 550, 27812, 8189, 454, 31690, 11181, 5030, 538, 1975, 27247, 6019, 689, 476, 8687, 277, 268, 4350, 271, 454, 31690, 11181, 13325, 645, 545, 523, 660, 523, 658, 8189, 454, 28317, 3630, 5069, 12493, 729, 4535, 538, 17996, 267, 6170, 1010, 6107, 538, 18518, 267, 543, 1500, 13325, 1010, 1753, 269, 634, 3557, 540, 13325, 9676, 713, 2027, 2078, 609, 922, 1793, 25830, 2048, 27455, 540, 12493, 9538, 7536, 763, 16683, 540, 8176, 16817, 779, 4332, 568, 849, 1373, 9976, 1472, 519, 1158, 563, 15100, 476, 1220, 280, 267, 14529, 3121, 26573, 8862, 541, 1066, 269, 2353, 2924, 11603, 269, 0, 9558, 5524, 269, 3776, 1935, 547, 1098, 21564, 9954, 729, 5483, 676, 4540, 13253, 1063, 20320, 16606, 593, 519, 835, 1688, 543, 10342, 543, 31824, 593, 519, 3896, 593, 519, 824, 1688, 269, 3690, 18587, 616, 4061, 711, 14553, 20320, 269, 26538, 267, 18685, 267, 3854, 1436, 267, 2262, 6498, 267, 5595, 19437, 1063, 5022, 543, 1913, 267, 24495, 923, 267, 12050, 2183, 267, 14583, 4484, 3029, 267, 2985, 11768, 267, 7805, 6959, 267, 543, 588, 11961, 553, 723, 1044, 17477, 269, 31888, 941, 23876, 538, 8648, 1715, 4936, 13944, 563, 18118, 9397, 540, 9954, 3370, 538, 7522, 11356, 9587, 941, 711, 1098, 8282, 17009, 5597, 269, 1284, 5433, 3257, 865, 1131, 723, 1500, 971, 9954, 1447, 28505, 585, 3896, 3755, 267, 945, 1131, 1294, 513, 11571, 540, 519, 3312, 269, 5015, 267, 649, 4941, 547, 18783, 1210, 3684, 1565, 547, 1413, 585, 22565, 14565, 1510, 1101, 2348, 547, 1921, 1079, 2694, 540, 513, 7745, 1899, 269, 7313, 655, 10643, 543, 4589, 685, 4408, 267, 950, 789, 2408, 538, 519, 3312, 8313, 267, 941, 23876, 1210, 20320, 16606, 269, 769, 519, 2013, 540, 513, 2582, 27236, 16320, 1108, 267, 950, 519, 10564, 779, 2012, 1281, 711, 2408, 609, 1142, 6648, 267, 649, 3769, 519, 2012, 538, 519, 12190, 4919, 11239, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1909, 538, 5885, 938, 4761, 1062, 538, 519, 4339, 1996, 5563, 563, 26765, 6979, 616, 513, 2707, 585, 1648, 543, 1683, 476, 3199, 268, 1911, 8477, 1315, 476, 1911, 10101, 267, 1034, 540, 799, 2097, 689, 3940, 543, 519, 1964, 689, 11950, 630, 560, 1105, 1040, 1358, 616, 3638, 538, 14434, 267, 7135, 602, 4339, 1863, 18119, 543, 948, 10408, 3252, 563, 5445, 616, 849, 513, 2707, 585, 19729, 6775, 267, 799, 723, 519, 3959, 540, 21716, 1216, 538, 519, 7181, 543, 8108, 513, 11064, 267, 799, 2337, 10038, 519, 18302, 540, 519, 2370, 3283, 630, 18034, 1346, 945, 723, 2042, 609, 19228, 1040, 1358, 2270, 513, 1507, 2179, 540, 3170, 267, 865, 789, 616, 849, 5227, 585, 1453, 609, 2597, 2042, 563, 3682, 974, 1231, 540, 10448, 5169, 1058, 2099, 476, 2004, 260, 540, 519, 2698, 3232, 3940, 6981, 1317, 723, 789, 723, 513, 2539, 6211, 1871, 982, 602, 540, 5779, 267, 5798, 543, 10683, 1813, 547, 519, 1249, 602, 789, 798, 711, 2270, 782, 519, 1898, 11254, 7408, 630, 21406, 15234, 24207, 15234, 1317, 789, 3112, 581, 24704, 676, 519, 1560, 543, 649, 991, 547, 1491, 873, 689, 1426, 2959, 1040, 26287, 1231, 1336, 538, 22053, 723, 513, 10638, 540, 8715, 542, 710, 543, 2166, 4614, 710, 267, 4430, 540, 30897, 710, 543, 538, 1931, 547, 3382, 519, 3003, 8552, 540, 11254, 7408, 543, 267, 17697, 569, 267, 3940, 1131, 2154, 602, 649, 12314, 873, 609, 24799, 563, 4131, 781, 1205, 31235, 609, 891, 2635, 22053, 2336, 763, 1034, 1455, 8677, 616, 3043, 10365, 543, 2699, 10365, 267, 519, 18632, 519, 2681, 519, 2362, 15934, 1543, 563, 291, 3072, 10365, 616, 849, 3638, 538, 20566, 267, 3940, 267, 6775, 543, 616, 606, 5140, 2707, 540, 4401, 267, 11379, 267, 31093, 543, 31447, 3679, 563, 8248, 553, 1058, 581, 5189, 538, 1453, 781, 2732, 1317, 540, 741, 1164, 1543, 540, 6171, 589, 267, 645, 272, 267, 645, 273, 267, 645, 274, 267, 645, 280, 267, 595, 267, 918, 267, 7513, 267, 13101, 267, 4401, 267, 11379, 543, 16903, 563, 2467, 616, 1614, 2010, 540, 21378, 2812, 281, 2699, 267, 3039, 543, 6960, 267, 519, 1034, 3362, 7558, 1043, 1373, 2699, 267, 1813, 547, 922, 2539, 6775, 1543, 982, 519, 1866, 269, 769, 21378, 2812, 649, 1265, 3940, 267, 6775, 267, 6171, 589, 543, 595, 267, 6171, 645, 272, 543, 645, 280, 563, 2419, 1157, 701, 553, 2270, 1713, 5666, 540, 22670, 267, 7601, 267, 16903, 267, 13058, 267, 31447, 3679, 267, 6171, 589, 543, 4401, 269, 898, 568, 3638, 538, 6775, 267, 3940, 543, 14434, 25467, 607, 513, 2427, 4063, 267, 621, 568, 1360, 10097, 563, 2419, 1157, 701, 553, 950, 11273, 723, 513, 27598, 9403, 543, 6492, 2147, 547, 6328, 601, 22756, 543, 538, 2489, 616, 3362, 7608, 676, 1453, 563, 2419, 1157, 701, 553, 666, 581, 11273, 609, 9252, 610, 23017, 538, 1216, 543, 666, 581, 6039, 538, 519, 1106, 540, 1208, 16443, 630, 577, 1157, 701, 320, 13594, 1070, 8645, 17339, 2073, 585, 4587, 1453, 621, 666, 581, 19323, 543, 6035, 607, 513, 15165, 563, 306, 1195, 568, 519, 1034, 7839, 1850, 2541, 538, 519, 1158, 543, 835, 540, 519, 1034, 6594, 3536, 563, 2005, 568, 4502, 6236, 1317, 540, 922, 1543, 538, 782, 1898, 11254, 7408, 267, 799, 568, 3833, 4686, 538, 2030, 5946, 269, 4935, 267, 13386, 5946, 723, 513, 1164, 6211, 1871, 269, 0, 2691, 621, 2501, 547, 2679, 8924, 267, 972, 616, 1631, 1079, 1646, 3681, 281, 2407, 3009, 5288, 269, 1100, 2275, 1712, 563, 5591, 2275, 1712, 2636, 3755, 547, 1628, 606, 813, 1510, 8193, 267, 9621, 547, 1118, 3301, 1646, 630, 6518, 568, 3335, 2731, 2182, 543, 7199, 264, 5488, 543, 14949, 676, 513, 476, 1015, 343, 14345, 269, 769, 3210, 267, 1082, 30596, 543, 4213, 616, 1631, 1166, 12177, 547, 1100, 2275, 1712, 547, 1711, 2688, 8924, 689, 15072, 563, 763, 1883, 2055, 3025, 12134, 950, 789, 1935, 721, 547, 1628, 606, 813, 1510, 3009, 616, 267, 7316, 779, 519, 6952, 286, 1548, 616, 519, 7687, 286, 4024, 621, 4196, 1250, 2189, 946, 2013, 888, 1103, 938, 1995, 267, 1100, 2275, 1712, 3301, 568, 2965, 519, 1655, 1935, 585, 1034, 1357, 8924, 267, 855, 621, 779, 711, 1318, 585, 1169, 2013, 269, 6884, 267, 2757, 5752, 568, 513, 1732, 3514, 4470, 593, 519, 1808, 1587, 543, 2319, 2115, 563, 19350, 267, 649, 3580, 2491, 875, 649, 1589, 827, 519, 2407, 3009, 5288, 269, 1100, 2275, 1712, 2243, 1107, 543, 950, 621, 2306, 2631, 547, 1628, 606, 813, 1510, 3009, 1107, 865, 602, 596, 666, 3313, 952, 621, 1522, 581, 1318, 585, 707, 1788, 563, 17359, 3009, 5288, 269, 1100, 2275, 1712, 281, 1548, 779, 519, 3017, 888, 13828, 3009, 543, 1100, 2275, 1712, 2099, 1079, 3982, 267, 855, 4570, 267, 4485, 547, 2870, 606, 813, 269, 3962, 540, 891, 1079, 2679, 3681, 814, 922, 1378, 5294, 543, 931, 269, 12989, 649, 2689, 513, 1906, 2101, 3604, 563, 1432, 568, 2407, 3009, 1646, 888, 7197, 540, 721, 723, 2938, 13798, 619, 17511, 10477, 575, 756, 828, 880, 883, 513, 3109, 5496, 1107, 713, 568, 519, 1184, 540, 3384, 3301, 1210, 513, 6671, 8193, 1893, 630, 328, 4318, 269, 2407, 3009, 1646, 1040, 901, 3322, 1603, 3515, 540, 5528, 547, 519, 2780, 547, 1685, 1585, 4247, 1210, 12981, 2854, 538, 513, 1808, 4852, 12519, 1106, 1572, 513, 5752, 1893, 563, 1432, 568, 1100, 2275, 1712, 888, 19284, 2688, 5752, 267, 1100, 2275, 1712, 5867, 1450, 596, 547, 1628, 3301, 3156, 998, 513, 8749, 7146, 1673, 1886, 8818, 3079, 540, 1603, 3515, 540, 3009, 269, 634, 1439, 1267, 568, 519, 1482, 607, 609, 2757, 8193, 281, 513, 4628, 1922, 23341, 1357, 3498, 602, 3755, 2170, 609, 630, 684, 10277, 540, 875, 621, 729, 1500, 1040, 1809, 676, 1210, 513, 811, 16022, 3308, 2679, 8818, 267, 1100, 2275, 1712, 2645, 1118, 3301, 1646, 5488, 543, 811, 3015, 547, 1004, 1510, 8193, 1995, 563, 1432, 713, 1797, 568, 602, 1100, 2275, 1712, 2645, 723, 22485, 519, 2930, 7496, 602, 723, 13840, 15286, 11639, 543, 4213, 689, 2679, 741, 1378, 8924, 269, 1403, 596, 723, 513, 2312, 5075, 543, 3804, 585, 707, 813, 4882, 1828, 267, 596, 1100, 3476, 991, 519, 2620, 2930, 6791, 543, 2866, 547, 14892, 621, 563, 9213, 267, 972, 616, 513, 3395, 1297, 540, 1114, 1100, 2275, 1712, 5867, 269, 3962, 814, 922, 1378, 11049, 1604, 630, 328, 4318, 269, 5752, 1893, 1070, 7207, 267, 543, 7687, 269, 6201, 540, 2442, 2645, 547, 1118, 8924, 1510, 8193, 1331, 5680, 6503, 585, 13941, 3817, 267, 5794, 14456, 585, 12240, 267, 2098, 777, 1512, 585, 20104, 3678, 725, 267, 543, 32686, 1076, 585, 2407, 3613, 871, 813, 1646, 563, 8269, 518, 547, 938, 1548, 568, 1100, 2275, 1712, 286, 3391, 585, 513, 2407, 7650, 593, 2679, 8924, 1510, 3009, 563, 2691, 1058, 596, 1628, 606, 813, 1510, 3009, 888, 12552, 547, 519, 7366, 630, 604, 711, 5215, 264, 540, 1100, 2275, 1712, 2645, 2139, 267, 596, 666, 1631, 1628, 1175, 827, 1022, 813, 513, 7082, 610, 1870, 1522, 991, 609, 1100, 2275, 1712, 269, 5221, 540, 713, 267, 596, 1058, 2015, 2679, 606, 813, 1510, 3009, 8164, 2009, 547, 4688, 942, 543, 2724, 563, 13349, 2010, 540, 8924, 267, 2934, 267, 543, 10342, 602, 1004, 616, 7432, 547, 1100, 2275, 1712, 2645, 547, 1628, 1331, 912, 268, 10369, 17541, 543, 552, 19645, 4609, 281, 1775, 4318, 269, 5867, 602, 1921, 18046, 543, 23965, 540, 5370, 610, 2533, 609, 1142, 824, 543, 1683, 519, 5989, 585, 519, 11834, 563, 268, 4317, 5121, 281, 1775, 4318, 269, 606, 813, 602, 16621, 1514, 2934, 602, 1450, 1004, 547, 1921, 610, 4497, 609, 824, 3755, 269, 6423, 875, 649, 3710, 513, 12108, 804, 821, 1210, 1100, 2275, 1712, 2336, 268, 18378, 2645, 281, 1775, 4318, 269, 8924, 585, 4835, 3755, 538, 606, 3919, 547, 2196, 1870, 4238, 543, 15824, 1585, 3527, 563, 268, 14871, 2845, 1231, 543, 27704, 281, 1775, 4318, 269, 21370, 17103, 602, 5372, 942, 270, 637, 1830, 10438, 2182, 2275, 10757, 2242, 547, 519, 3593, 21189, 1184, 454, 268, 13216, 20104, 3678, 725, 281, 1775, 4318, 269, 8924, 602, 20928, 1898, 1870, 3157, 267, 899, 10618, 543, 6054, 454, 268, 667, 1662, 15236, 543, 12642, 281, 1775, 4318, 269, 8924, 585, 11617, 9477, 7194, 543, 1239, 538, 707, 2872, 11486, 5350, 454, 268, 22627, 547, 476, 274, 6113, 18407, 29026, 281, 1775, 4318, 269, 2702, 547, 7485, 538, 1239, 689, 5007, 2533, 267, 971, 607, 22367, 701, 585, 2679, 538, 8569, 1949, 585, 707, 813, 454, 2691, 1058, 596, 1711, 606, 813, 689, 15072, 1210, 2757, 1646, 888, 10303, 2688, 3009, 568, 14887, 547, 1628, 543, 3340, 811, 5571, 5826, 4674, 982, 4628, 3620, 739, 539, 1100, 2275, 1712, 5867, 267, 621, 779, 1655, 11603, 585, 2665, 1141, 1100, 2275, 1712, 2645, 666, 1405, 3035, 1018, 596, 991, 269, 769, 824, 1913, 267, 2757, 3009, 1058, 581, 1031, 593, 606, 834, 553, 32571, 257, 4493, 563, 13349, 4128, 585, 21271, 532, 1100, 2275, 1712, 543, 3079, 17596, 3009, 1331, 912, 268, 23397, 2029, 630, 324, 3052, 269, 3684, 1565, 6620, 994, 268, 670, 4007, 4336, 630, 324, 3052, 269, 813, 2115, 547, 1489, 6634, 540, 3232, 3755, 994, 268, 11426, 3308, 8818, 630, 324, 3052, 269, 1711, 1945, 899, 26598, 610, 1775, 300, 990, 773, 1369, 813, 994, 268, 12243, 7207, 630, 324, 3052, 269, 596, 723, 4540, 9367, 945, 991, 547, 3251, 11112, 994, 2691, 666, 596, 1491, 513, 10316, 2679, 1935, 888, 15919, 519, 2407, 3009, 5288, 269, 1100, 2275, 1712, 14196, 3884, 1406, 606, 782, 11399, 5991, 5847, 2243, 269, 2311, 2053, 596, 3580, 1265, 602, 972, 616, 513, 1297, 540, 1114, 2081, 547, 946, 1312, 4485, 585, 1114, 2694, 540, 707, 1628, 269, 6201, 540, 10316, 13976, 1331, 912, 268, 2506, 5523, 3429, 513, 3009, 2861, 1907, 883, 513, 1100, 2275, 1712, 3498, 454, 268, 4635, 606, 16286, 547, 723, 513, 1100, 2275, 1712, 1907, 6494, 13668, 547, 513, 3009, 2861, 5690, 610, 3028, 454, 268, 4635, 2582, 1606, 793, 6823, 630, 7704, 302, 264, 547, 1450, 3755, 547, 3095, 1063, 1114, 2694, 540, 606, 813, 3710, 609, 3009, 270, 7224, 2275, 1712, 454, 268, 11109, 513, 1100, 2275, 1712, 3593, 1922, 5217, 1907, 1921, 547, 513, 2688, 3009, 1394, 754, 6538, 454, 268, 12861, 20104, 3678, 725, 538, 513, 1100, 2275, 1712, 1907, 267, 602, 1205, 15427, 676, 3009, 2861, 2645, 538, 707, 4540, 10518, 454, 1432, 568, 519, 1034, 2688, 14184, 1100, 2275, 1712, 1907, 888, 2414, 3970, 707, 1981, 540, 18644, 513, 3774, 950, 2679, 513, 2688, 813, 1510, 3009, 267, 621, 781, 1271, 1101, 1265, 513, 1907, 602, 3091, 513, 2603, 540, 8112, 543, 970, 839, 2225, 547, 6023, 519, 4183, 5036, 543, 4336, 602, 596, 991, 563, 2026, 513, 1100, 2275, 1712, 1646, 8116, 602, 779, 3710, 7366, 540, 1114, 2688, 8924, 585, 7218, 267, 649, 4076, 6074, 32686, 1076, 607, 938, 9053, 3070, 269, 2060, 32686, 1076, 267, 649, 4312, 1336, 602, 972, 616, 1360, 1906, 7687, 950, 621, 2501, 547, 519, 2186, 540, 513, 1357, 3498, 602, 596, 1616, 547, 1628, 1107, 3592, 1022, 30892, 267, 10342, 267, 543, 5043, 725, 616, 15164, 563, 15919, 649, 786, 4363, 938, 7218, 946, 824, 1100, 2275, 1712, 2645, 267, 899, 19255, 1518, 952, 789, 2461, 2870, 513, 3044, 552, 19645, 3135, 610, 5680, 6503, 952, 789, 2461, 1818, 513, 3896, 1510, 1950, 10342, 269, 1809, 950, 621, 2501, 547, 2679, 2189, 267, 1950, 3301, 267, 32686, 1076, 3091, 721, 519, 14191, 4244, 547, 2688, 3009, 563, 2414, 1294, 606, 7650, 540, 32686, 1076, 779, 7207, 543, 7687, 1354, 10115, 942, 543, 2724, 2679, 707, 2688, 813, 267, 2638, 856, 938, 1592, 540, 1018, 781, 2009, 609, 32686, 1076, 563, 9596, 952, 1100, 2275, 1712, 568, 1318, 585, 707, 1788, 454, 12606, 634, 16797, 6651, 547, 3143, 4211, 1712, 547, 1294, 875, 596, 666, 946, 1100, 2275, 1712, 538, 707, 23492, 610, 1870, 547, 1628, 5488, 543, 10709, 518, 267, 607, 1134, 607, 875, 547, 3442, 519, 1318, 1100, 2275, 1712, 3760, 585, 707, 813, 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 ]
[ 2630, 519, 15341, 7675, 1377, 269, 630, 763, 2450, 540, 519, 4759, 1281, 711, 2339, 1813, 547, 519, 10690, 17501, 540, 519, 15497, 547, 519, 4745, 4700, 7743, 15341, 7675, 568, 1282, 4070, 568, 4061, 2565, 538, 519, 2953, 2773, 540, 519, 8115, 563, 16655, 3065, 2566, 568, 5116, 593, 519, 4099, 540, 519, 22334, 950, 513, 2661, 4452, 10301, 519, 4099, 540, 519, 8115, 267, 610, 950, 519, 2661, 4452, 11498, 519, 3259, 540, 519, 8115, 269, 5637, 519, 7299, 9708, 543, 25329, 693, 519, 1439, 540, 519, 8115, 7985, 519, 5207, 2179, 540, 2566, 563, 763, 2566, 7133, 4831, 1532, 571, 806, 5673, 593, 519, 5223, 540, 2661, 4452, 547, 4666, 4452, 829, 1770, 540, 3259, 267, 543, 875, 519, 2661, 4452, 568, 7856, 2066, 519, 8115, 269, 589, 7833, 3892, 540, 2661, 4452, 786, 2322, 1100, 2566, 593, 519, 4831, 1532, 571, 806, 267, 1247, 8380, 2661, 4452, 593, 1152, 513, 6712, 540, 519, 8115, 786, 2813, 5021, 2566, 593, 519, 4099, 4831, 1532, 571, 806, 563, 10303, 540, 519, 2566, 5116, 593, 519, 8115, 267, 519, 1215, 324, 959, 1380, 568, 5078, 585, 21269, 476, 5611, 3952, 630, 5379, 544, 264, 538, 3259, 610, 1447, 269, 3143, 11865, 568, 1500, 538, 513, 1215, 324, 959, 1380, 585, 7269, 610, 19432, 1813, 547, 2242, 538, 2837, 563, 1692, 324, 959, 1380, 13123, 538, 946, 454, 763, 1215, 324, 959, 1380, 729, 3810, 22237, 1813, 547, 922, 8897, 540, 4070, 269, 634, 11308, 4773, 666, 581, 2966, 1210, 2370, 855, 513, 5374, 4009, 543, 15072, 1659, 331, 267, 543, 519, 959, 1380, 666, 581, 29600, 1210, 1152, 606, 740, 2763, 267, 11160, 518, 267, 543, 4718, 269, 7754, 1564, 1223, 581, 4776, 5419, 730, 543, 16487, 547, 519, 4070, 3135, 267, 543, 3006, 1256, 3003, 959, 1380, 525, 1223, 581, 14475, 543, 19632, 1055, 21935, 543, 16487, 676, 7841, 547, 519, 5497, 4087, 269, 2368, 4990, 540, 7301, 1740, 267, 2356, 538, 519, 1106, 540, 513, 1726, 560, 548, 267, 568, 2838, 547, 16245, 519, 8115, 563, 763, 1646, 540, 519, 2398, 3430, 543, 1215, 324, 959, 1380, 525, 838, 13899, 519, 4070, 540, 4401, 13123, 538, 519, 2136, 2276, 269, 19402, 476, 6977, 271, 267, 1906, 4401, 13123, 538, 519, 2197, 941, 3476, 982, 476, 2004, 3952, 630, 1428, 544, 1040, 634, 2241, 1374, 267, 8897, 540, 5478, 267, 543, 8897, 540, 4070, 540, 519, 2398, 3430, 543, 1215, 324, 959, 1380, 525, 838, 13899, 18148, 8361, 4678, 549, 2041, 4083, 267, 8783, 11653, 540, 519, 22768, 543, 11882, 21805, 267, 547, 1628, 1804, 2338, 540, 4401, 13123, 269, 2991, 1079, 4583, 4401, 8115, 2458, 22663, 630, 821, 538, 519, 2136, 2276, 267, 519, 824, 538, 519, 2136, 8003, 1070, 1906, 540, 891, 941, 3710, 538, 519, 3345, 269, 901, 5921, 1034, 4401, 13123, 25517, 1991, 547, 519, 1977, 6406, 2782, 941, 4092, 538, 519, 3162, 269, 6168, 476, 5908, 278, 267, 513, 10006, 538, 4401, 8115, 2679, 7018, 2429, 519, 2136, 2276, 269, 634, 1034, 4122, 1031, 6272, 941, 519, 1215, 324, 959, 1380, 267, 2398, 3430, 959, 1380, 267, 645, 3326, 2006, 959, 1380, 267, 674, 1074, 959, 1380, 267, 543, 25303, 959, 1380, 16804, 330, 316, 634, 1215, 324, 543, 2398, 3430, 959, 1380, 525, 1336, 3870, 1317, 789, 1031, 2484, 7864, 2818, 563, 763, 1152, 5826, 513, 1215, 324, 959, 1380, 3340, 568, 16369, 540, 519, 10808, 593, 519, 7299, 9708, 547, 3160, 1125, 8833, 269, 634, 32377, 538, 513, 11308, 2398, 3430, 959, 1380, 9863, 2352, 547, 1832, 538, 1697, 16369, 267, 865, 519, 1215, 324, 959, 1380, 2968, 519, 9053, 1374, 585, 513, 11308, 8115, 610, 585, 513, 834, 10520, 819, 531, 257, 8115, 540, 3574, 609, 4401, 7299, 338, 269, 7177, 7548, 9710, 864, 681, 269, 774, 9707, 267, 1603, 538, 476, 4489, 274, 267, 2808, 519, 1215, 324, 959, 1380, 547, 581, 519, 1655, 1106, 540, 11308, 959, 1380, 8115, 267, 543, 5156, 621, 547, 581, 519, 1034, 4122, 1031, 959, 1380, 8115, 538, 519, 2136, 2276, 693, 602, 942, 563, 5472, 268, 1241, 1215, 324, 959, 1380, 525, 3459, 547, 581, 3710, 827, 476, 7277, 276, 269, 6201, 1331, 513, 476, 2004, 20356, 630, 1428, 544, 264, 1279, 4401, 1215, 324, 959, 1380, 729, 3710, 585, 519, 11785, 543, 3038, 2064, 21805, 543, 513, 476, 1789, 20356, 630, 280, 269, 272, 544, 264, 1279, 16456, 8115, 936, 519, 11882, 543, 661, 4471, 22575, 538, 25350, 563, 27860, 267, 2705, 267, 729, 519, 9053, 8115, 585, 18914, 543, 7841, 9897, 267, 543, 519, 1215, 324, 959, 1380, 1705, 711, 3082, 1134, 547, 782, 268, 1241, 4070, 269, 634, 2398, 3430, 959, 1380, 262, 2582, 15497, 2909, 1424, 1062, 5921, 1447, 1942, 267, 543, 922, 2702, 547, 946, 530, 3754, 268, 1241, 5569, 619, 896, 16456, 986, 2812, 543, 13218, 267, 3366, 8115, 26767, 547, 3870, 519, 2398, 3430, 936, 519, 1215, 324, 16804, 331, 316, 1261, 32667, 2661, 13907, 267, 3226, 676, 16456, 338, 267, 3366, 8115, 26767, 547, 3870, 6676, 4556, 1457, 543, 19331, 928, 24775, 13123, 585, 21269, 1447, 982, 476, 2568, 3952, 630, 1240, 544, 1070, 543, 25303, 4556, 1457, 13123, 585, 782, 824, 21269, 563, 268, 634, 22334, 616, 519, 1292, 851, 540, 519, 959, 1380, 267, 543, 1590, 5706, 29345, 3101, 563, 268, 634, 1357, 616, 1346, 2818, 8220, 519, 22334, 563, 268, 4340, 547, 519, 2872, 8313, 7177, 5240, 538, 476, 6942, 280, 267, 513, 8756, 476, 271, 269, 276, 6279, 630, 1724, 6515, 264, 2620, 568, 2759, 883, 519, 20832, 267, 543, 1287, 513, 476, 273, 20878, 630, 7906, 6515, 264, 2647, 28422, 614, 8930, 17332, 883, 519, 8756, 543, 9395, 2989, 563, 268, 15506, 1084, 10824, 616, 2241, 4773, 540, 4401, 610, 5374, 6676, 7363, 1031, 547, 10943, 823, 1079, 4773, 1927, 267, 610, 7923, 547, 519, 1166, 5190, 540, 594, 15515, 4461, 610, 595, 15515, 4461, 547, 13888, 523, 873, 563, 268, 769, 2665, 1141, 519, 20832, 540, 519, 2539, 16147, 723, 4064, 593, 519, 7475, 543, 513, 30021, 610, 678, 633, 339, 568, 1031, 547, 1921, 519, 20832, 267, 519, 1439, 540, 519, 7299, 2022, 949, 581, 513, 13622, 2864, 982, 513, 8142, 267, 543, 1780, 1472, 519, 30021, 610, 678, 633, 339, 563, 268, 1280, 1383, 267, 952, 513, 16147, 6252, 568, 1500, 540, 2185, 20832, 267, 519, 15497, 1058, 581, 1500, 540, 1614, 20832, 563, 268, 634, 8136, 17620, 540, 19296, 3081, 25329, 949, 581, 5594, 10690, 1247, 27206, 538, 519, 561, 13903, 563, 268, 1323, 2473, 1532, 15869, 568, 1022, 1106, 540, 25231, 538, 799, 1079, 32377, 12969, 563, 268, 589, 12597, 25231, 568, 513, 2110, 25231, 25241, 958, 8220, 519, 7299, 547, 606, 16841, 1193, 583, 563, 268, 1215, 324, 959, 1380, 525, 616, 2653, 547, 15341, 816, 269, 901, 1797, 602, 519, 8440, 798, 711, 991, 513, 2407, 13613, 609, 835, 1776, 267, 607, 13496, 4229, 2569, 519, 991, 547, 25559, 8082, 4229, 563, 268, 634, 25303, 959, 1380, 729, 2919, 538, 476, 7277, 279, 267, 519, 645, 3326, 2006, 959, 1380, 538, 476, 6977, 273, 267, 543, 519, 674, 1074, 959, 1380, 538, 476, 6977, 275, 563, 268, 13536, 267, 519, 2398, 3430, 959, 1380, 729, 4824, 609, 513, 5595, 268, 19986, 1062, 269, 1452, 8747, 616, 2356, 1572, 6931, 6807, 267, 32298, 267, 610, 1733, 21451, 959, 1380, 525, 563, 268, 834, 289, 16466, 8111, 560, 4450, 257, 693, 7177, 5240, 476, 6942, 280, 267, 533, 269, 476, 14225, 563, 268, 13937, 1706, 7236, 1299, 29425, 476, 1960, 274, 267, 533, 269, 476, 11820, 563, 268, 717, 3419, 7714, 267, 7671, 12789, 269, 630, 21776, 476, 1001, 275, 1040, 834, 306, 7428, 7615, 15167, 585, 5375, 21805, 2668, 12856, 269, 8158, 5130, 476, 866, 267, 476, 1001, 277, 563, 268, 12928, 984, 6674, 476, 1001, 273, 267, 533, 269, 476, 2568, 563, 268, 670, 5417, 611, 476, 1220, 278, 267, 533, 269, 476, 274, 269, 521, 325, 333, 5470, 281, 1100, 3077, 281, 595, 25604, 9128, 295, 5417, 611, 1220, 278, 630, 15276, 994, 268, 9652, 476, 6942, 280, 267, 533, 269, 476, 29575, 563, 268, 9652, 476, 6942, 280, 267, 533, 269, 476, 11740, 563, 268, 654, 5417, 749, 476, 4489, 277, 267, 533, 269, 476, 4572, 280, 563, 268, 8585, 3234, 534, 1299, 15243, 344, 476, 4489, 280, 267, 533, 269, 476, 273, 563, 268, 8136, 17620, 540, 19296, 476, 4489, 278, 267, 6032, 269, 476, 25172, 268, 21857, 563, 268, 3331, 483, 330, 5184, 476, 1220, 279, 267, 533, 269, 476, 2641, 563, 268, 8136, 17620, 540, 19296, 476, 4489, 278, 267, 533, 269, 476, 21857, 563, 268, 8136, 17620, 540, 19296, 476, 4489, 278, 267, 533, 269, 476, 25172, 563, 268, 774, 9707, 476, 4489, 274, 267, 533, 269, 476, 7597, 563, 268, 654, 5417, 749, 476, 4489, 277, 267, 533, 269, 476, 1001, 276, 563, 268, 774, 9707, 476, 4489, 274, 267, 533, 269, 476, 4037, 563, 268, 8136, 17620, 540, 19296, 476, 4489, 278, 267, 533, 269, 476, 26562, 563, 268, 774, 9707, 476, 4489, 274, 267, 533, 269, 476, 6924, 563, 268, 3331, 483, 330, 5184, 476, 1220, 279, 267, 6032, 269, 476, 2641, 268, 2420, 563, 268, 654, 5417, 749, 476, 4489, 277, 267, 533, 269, 476, 14225, 273, 563, 268, 8136, 17620, 540, 19296, 476, 4489, 278, 267, 533, 269, 476, 22001, 563, 268, 654, 5417, 749, 476, 4489, 277, 267, 533, 269, 476, 1220, 272, 563, 268, 3331, 483, 330, 5184, 476, 1220, 279, 267, 533, 269, 476, 2420, 563, 268, 3331, 483, 330, 5184, 476, 1220, 279, 267, 533, 269, 476, 2190, 563, 268, 27956, 17243, 476, 1001, 279, 267, 533, 269, 476, 10463, 563, 268, 7137, 869, 476, 1960, 279, 267, 533, 269, 476, 3422, 563, 268, 7137, 869, 476, 1960, 279, 267, 533, 269, 476, 13975, 563, 268, 834, 289, 16466, 8111, 560, 4450, 257, 693, 7177, 5240, 476, 6942, 280, 267, 533, 269, 476, 18684, 563, 268, 774, 9707, 476, 4489, 274, 267, 533, 269, 476, 6858, 563, 268, 6276, 267, 808, 14371, 269, 630, 2735, 271, 1040, 834, 763, 12472, 540, 11635, 15167, 2558, 1380, 525, 547, 476, 6977, 271, 2668, 3690, 13905, 540, 519, 1715, 1260, 523, 5980, 269, 476, 7367, 281, 476, 6858, 1700, 6200, 269, 8222, 281, 1015, 269, 14056, 280, 14121, 985, 269, 2735, 271, 269, 22650, 563, 268, 7935, 1188, 10458, 476, 1220, 276, 267, 533, 269, 476, 21172, 563, 268, 3244, 332, 976, 267, 6424, 589, 269, 630, 18907, 476, 2735, 280, 1040, 834, 293, 718, 689, 24553, 281, 2549, 14505, 12942, 543, 519, 1306, 6255, 629, 3121, 15167, 7502, 8985, 2668, 7033, 5202, 281, 476, 4097, 1700, 6246, 563, 268, 3331, 483, 330, 5184, 267, 645, 329, 23152, 333, 630, 1220, 279, 1040, 4197, 15167, 7502, 22663, 269, 5507, 281, 13177, 1299, 14731, 269, 9768, 476, 7818, 271, 6078, 276, 6246, 277, 2537, 277, 269, 5425, 272, 1292, 339, 281, 1201, 284, 9618, 341, 630, 15062, 994, 268, 8136, 17620, 540, 19296, 630, 4489, 278, 1040, 23910, 12197, 15015, 269, 20668, 594, 1765, 23997, 269, 12333, 14430, 540, 519, 17620, 540, 19296, 267, 772, 2529, 269, 8136, 269, 3143, 269, 476, 3066, 269, 476, 276, 628, 2847, 269, 1196, 269, 6115, 267, 667, 5861, 12727, 772, 2529, 269, 4972, 540, 2782, 269, 5425, 272, 1292, 339, 281, 1201, 284, 9618, 341, 630, 15062, 994, 268, 7137, 869, 267, 18039, 630, 1960, 279, 1040, 13129, 6651, 547, 25587, 7177, 8092, 12201, 540, 519, 2622, 281, 20710, 2471, 267, 570, 18365, 1564, 267, 667, 4461, 267, 10003, 338, 267, 543, 4033, 23113, 269, 9628, 281, 634, 744, 787, 343, 4964, 269, 9768, 476, 7818, 5400, 280, 6507, 275, 280, 5780, 275, 269, 5425, 272, 1292, 339, 281, 1201, 284, 9618, 341, 630, 15062, 994, 268, 834, 289, 16466, 8111, 560, 4450, 2668, 7177, 5240, 269, 4873, 476, 2764, 267, 476, 6942, 280, 269, 6032, 269, 476, 14225, 1700, 18684, 269, 8158, 5988, 476, 275, 267, 476, 1708, 271, 563, 268, 7935, 1188, 10458, 267, 681, 269, 3627, 630, 1220, 276, 1040, 3828, 13554, 681, 5661, 267, 6129, 5287, 590, 4721, 281, 634, 31898, 7595, 540, 715, 12078, 11416, 6008, 14781, 520, 543, 21805, 6452, 1211, 27148, 18614, 267, 476, 8146, 274, 268, 6942, 280, 269, 2549, 640, 6807, 267, 715, 28629, 12727, 7345, 6229, 14539, 3213, 269, 9768, 476, 7818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 667, 12613, 547, 2268, 513, 9823, 6453, 540, 476, 1911, 966, 780, 14294, 909, 547, 8917, 593, 713, 2140, 0, 2162, 5851, 3436, 7193, 274, 3436, 3848, 476, 1724, 3436, 7689, 476, 1724, 269, 273, 269, 273, 3436, 9046, 1724, 268, 4037, 692, 1724, 268, 4037, 780, 8196, 519, 4214, 540, 31302, 2557, 540, 1689, 267, 4399, 3916, 1422, 3916, 1080, 9041, 2715, 554, 1422, 21375, 476, 271, 7684, 1422, 2765, 2715, 535, 630, 1535, 1341, 554, 3738, 910, 535, 630, 1535, 3738, 7684, 2715, 554, 476, 20954, 547, 3313, 519, 31302, 2557, 540, 1689, 540, 1269, 325, 13375, 3287, 9368, 264, 815, 1535, 3867, 273, 348, 1341, 476, 273, 259, 693, 1269, 343, 815, 476, 275, 16859, 7445, 3916, 1422, 3916, 1080, 9041, 2715, 554, 1422, 21375, 476, 271, 7684, 1422, 2765, 2715, 630, 275, 266, 327, 3867, 273, 348, 11924, 273, 910, 630, 275, 3867, 273, 15396, 273, 14587, 2715, 554, 476, 4151, 0, 258, 3503, 519, 3830, 538, 3044, 1106, 540, 519, 5409, 19096, 609, 4099, 693, 519, 5169, 267, 922, 29529, 7852, 568, 7299, 267, 543, 621, 781, 29297, 4925, 616, 586, 284, 266, 25773, 630, 279, 270, 276, 32589, 692, 299, 1460, 19748, 329, 599, 1923, 26133, 3447, 1807, 692, 5632, 9725, 14807, 1807, 2094, 476, 1001, 273, 692, 28588, 12749, 5396, 616, 4569, 543, 3163, 692, 2414, 3313, 519, 3830, 267, 4019, 519, 4542, 540, 5409, 19096, 609, 7299, 29529, 7852, 799, 568, 1384, 319, 263, 344, 10275, 8203, 273, 21669, 317, 273, 24179, 343, 3620, 8203, 273, 11486, 317, 273, 284, 272, 26384, 7712, 519, 4099, 568, 630, 271, 267, 271, 1070, 11690, 2987, 554, 284, 271, 543, 737, 284, 271, 780, 319, 263, 344, 268, 271, 8203, 273, 21669, 317, 273, 24179, 343, 268, 271, 8203, 273, 11486, 317, 273, 284, 272, 26384, 319, 344, 317, 273, 21669, 317, 273, 14870, 317, 273, 11486, 317, 273, 284, 272, 26384, 2414, 4194, 585, 519, 2418, 540, 513, 543, 536, 267, 4019, 519, 4542, 540, 29297, 4925, 540, 5409, 19096, 609, 7299, 29529, 7852, 780, 319, 344, 284, 266, 268, 320, 11486, 3287, 3620, 11924, 330, 26384, 26139, 267, 11690, 2987, 519, 2418, 540, 554, 543, 737, 780, 319, 344, 284, 266, 268, 320, 11486, 3287, 268, 271, 11924, 271, 26384, 319, 344, 284, 266, 268, 320, 11486, 343, 26384, 10190, 267, 12990, 2387, 344, 284, 266, 268, 279, 270, 276, 343, 319, 16317, 319, 266, 268, 279, 270, 276, 343, 284, 266, 268, 320, 11486, 343, 26384, 2414, 14458, 713, 267, 7941, 1312, 5011, 676, 1535, 780, 319, 263, 266, 268, 279, 270, 276, 343, 8358, 343, 14352, 266, 268, 320, 11486, 343, 8358, 343, 26384, 319, 266, 268, 279, 270, 276, 284, 266, 268, 320, 11486, 26384, 3383, 267, 513, 284, 279, 543, 536, 284, 276, 780, 3086, 602, 519, 2418, 540, 513, 543, 536, 616, 1634, 267, 11690, 891, 547, 1384, 319, 344, 317, 273, 21669, 317, 273, 14870, 317, 273, 11486, 317, 273, 284, 272, 26384, 319, 344, 317, 273, 270, 279, 317, 273, 14870, 317, 273, 270, 276, 317, 273, 284, 272, 26384, 319, 344, 317, 273, 270, 5038, 14870, 317, 273, 270, 1839, 284, 272, 26384, 17798, 267, 519, 3830, 540, 519, 5409, 19096, 568, 2387, 344, 317, 273, 270, 5038, 14870, 317, 273, 270, 1839, 284, 272, 319, 16317, 13765, 10088, 1386, 676, 552, 24687, 32000, 0, 258, 17817, 540, 519, 1773, 2033, 281, 14572, 585, 1133, 3104, 985, 1923, 14581, 6435, 692, 1892, 910, 13420, 3626, 311, 8894, 1103, 5758, 267, 634, 3830, 540, 519, 2016, 7077, 568, 1990, 815, 910, 273, 344, 1341, 476, 273, 267, 609, 1535, 1373, 17062, 269, 634, 9386, 540, 519, 1899, 538, 519, 586, 22271, 7077, 602, 12958, 519, 7077, 568, 910, 273, 780, 1012, 14581, 15048, 692, 10674, 2517, 19112, 25090, 269, 30502, 327, 871, 30994, 270, 19112, 25090, 270, 278, 5655, 279, 270, 3225, 566, 269, 628, 27970, 1496, 29662, 5287, 6540, 1012, 634, 28055, 693, 513, 8827, 692, 296, 1745, 2731, 29749, 602, 594, 666, 1405, 1265, 519, 3830, 540, 519, 1739, 1862, 568, 519, 586, 9386, 1934, 476, 273, 2496, 8310, 12995, 676, 513, 15645, 1807, 912, 296, 1589, 865, 267, 26759, 269, 835, 1770, 2066, 1079, 909, 692, 8117, 621, 781, 711, 1990, 815, 535, 3287, 11971, 264, 815, 476, 273, 344, 1318, 11631, 1018, 993, 594, 7508, 1934, 692, 7232, 638, 3626, 311, 268, 1767, 1384, 1012, 14581, 15048, 692, 10674, 2517, 19112, 25090, 269, 30502, 327, 871, 30994, 270, 19112, 25090, 270, 278, 5655, 279, 270, 3225, 566, 269, 628, 27970, 1496, 29662, 5287, 6540, 1012, 634, 28055, 693, 513, 8827, 692, 296, 1745, 2731, 29749, 602, 594, 666, 1405, 1265, 519, 3830, 540, 519, 1739, 1862, 568, 519, 586, 9386, 1934, 476, 273, 888, 10673, 1405, 917, 1018, 596, 1611, 834, 344, 9386, 1701, 901, 7077, 5526, 547, 676, 6383, 676, 513, 1899, 538, 519, 586, 22271, 7077, 4171, 9386, 630, 323, 345, 7933, 344, 264, 568, 910, 273, 269, 634, 3830, 540, 602, 1899, 568, 1990, 815, 910, 273, 344, 1341, 476, 273, 269, 1535, 568, 17062, 780, 8310, 12995, 676, 513, 15645, 1807, 1384, 1012, 1548, 568, 519, 3830, 540, 513, 7077, 2496, 763, 3830, 540, 513, 7077, 568, 513, 6310, 6041, 540, 513, 1079, 8820, 6366, 2627, 538, 513, 1614, 8820, 2230, 269, 898, 568, 3335, 2854, 538, 519, 1106, 540, 16547, 1341, 1635, 1341, 595, 345, 1341, 667, 815, 476, 271, 267, 1141, 589, 267, 645, 267, 543, 595, 616, 519, 14170, 540, 519, 1535, 267, 586, 267, 543, 1990, 4632, 543, 667, 568, 513, 3586, 2165, 780, 1012, 1215, 798, 596, 1265, 519, 3830, 540, 513, 7077, 2016, 1614, 2798, 2496, 2414, 1265, 519, 3830, 540, 513, 7077, 2016, 1614, 2798, 267, 596, 666, 946, 519, 4542, 630, 343, 14870, 272, 7565, 344, 3917, 273, 7565, 345, 22271, 274, 264, 1341, 630, 344, 3917, 272, 7565, 345, 22271, 273, 7565, 343, 14870, 274, 264, 1341, 630, 345, 22271, 272, 7565, 343, 14870, 273, 7565, 344, 3917, 274, 264, 815, 630, 343, 14870, 272, 7565, 344, 3917, 274, 7565, 345, 22271, 273, 264, 1341, 630, 344, 3917, 272, 7565, 345, 22271, 274, 7565, 343, 14870, 273, 264, 1341, 630, 345, 22271, 272, 7565, 343, 14870, 274, 7565, 344, 3917, 273, 1070, 1141, 630, 343, 272, 267, 586, 272, 267, 1990, 272, 1070, 630, 343, 273, 267, 586, 273, 267, 1990, 273, 1070, 543, 630, 343, 274, 267, 586, 274, 267, 1990, 274, 264, 616, 519, 10974, 540, 519, 1614, 2798, 780, 1012, 1548, 616, 519, 1114, 3029, 540, 519, 3830, 540, 513, 7077, 2496, 2026, 728, 689, 519, 3044, 1106, 630, 288, 343, 1341, 1635, 1341, 595, 345, 1341, 667, 815, 476, 271, 1070, 519, 3830, 540, 513, 7077, 666, 849, 581, 2854, 538, 6152, 1106, 607, 678, 2340, 24844, 562, 815, 533, 267, 1141, 678, 568, 513, 2990, 6152, 267, 562, 568, 513, 3339, 6152, 547, 519, 7077, 267, 543, 533, 568, 513, 3586, 269, 898, 666, 849, 581, 6829, 538, 4164, 13011, 1106, 607, 1535, 815, 1535, 271, 1341, 693, 267, 586, 815, 586, 271, 1341, 536, 339, 267, 543, 1990, 815, 1990, 271, 1341, 524, 339, 267, 1141, 630, 343, 271, 267, 586, 271, 267, 1990, 271, 264, 568, 513, 1448, 593, 519, 7077, 543, 513, 267, 536, 267, 543, 524, 616, 519, 4287, 12753, 540, 513, 6152, 6252, 547, 519, 7077, 780, 1012, 1548, 568, 519, 2956, 540, 519, 3830, 540, 513, 7077, 538, 9511, 543, 6323, 2496, 763, 3830, 540, 513, 7077, 4249, 513, 2629, 1909, 538, 1312, 9511, 543, 6323, 269, 769, 9511, 267, 621, 568, 1031, 547, 2099, 543, 5659, 1079, 8820, 5515, 543, 5546, 971, 607, 12730, 267, 25965, 267, 543, 10580, 269, 769, 6323, 267, 519, 3830, 540, 513, 7077, 568, 1031, 547, 4766, 519, 5163, 540, 3615, 538, 1614, 8820, 2230, 267, 971, 607, 519, 18330, 540, 513, 1788, 850, 610, 519, 2619, 540, 513, 3001, 9325, 780, 1012, 2052, 519, 3830, 540, 513, 7077, 581, 1031, 547, 1265, 519, 3845, 1063, 513, 1448, 543, 513, 7077, 2496, 8133, 267, 519, 3830, 540, 513, 7077, 666, 581, 1031, 547, 1265, 519, 3845, 1063, 513, 1448, 543, 513, 7077, 269, 901, 666, 581, 2944, 1210, 519, 4542, 546, 815, 1923, 288, 343, 271, 1341, 1635, 271, 1341, 595, 345, 271, 1341, 667, 347, 1315, 20734, 263, 288, 273, 1341, 645, 273, 1341, 595, 273, 1070, 1141, 630, 343, 271, 267, 586, 271, 267, 1990, 271, 264, 568, 519, 10974, 540, 519, 1448, 543, 589, 267, 645, 267, 543, 595, 616, 519, 14170, 540, 519, 7077, 781, 3830, 269, 901, 4542, 568, 6508, 689, 519, 1249, 602, 519, 20125, 3845, 1063, 513, 1448, 543, 513, 7077, 568, 2059, 513, 1899, 13902, 547, 519, 7077, 267, 799, 666, 581, 6719, 676, 519, 3339, 6152, 630, 288, 267, 645, 267, 595, 1040, 0, 22923, 314, 30791, 31580, 316, 910, 32712, 14691, 6435, 692, 12709, 2433, 8081, 2433, 6732, 6435, 2433, 4065, 2433, 9906, 13268, 720, 2433, 12430, 10789, 2433, 6156, 566, 2433, 20472, 832, 2433, 9906, 13624, 710, 541, 31580, 270, 313, 3266, 30467, 692, 22923, 314, 30791, 31580, 6540, 20023, 30467, 454, 4020, 513, 4642, 19336, 454, 20023, 309, 10725, 454, 4020, 513, 4642, 21070, 692, 11910, 532, 25627, 20023, 30467, 16868, 267, 524, 267, 3681, 264, 20023, 309, 10725, 314, 334, 28488, 323, 267, 3681, 2020, 13640, 600, 4394, 692, 678, 910, 630, 28436, 264, 1875, 24308, 8870, 282, 4737, 10155, 540, 519, 4611, 19336, 524, 910, 630, 28436, 264, 1875, 24308, 8870, 282, 6241, 10155, 540, 519, 4611, 19336, 546, 910, 630, 28436, 264, 1875, 24308, 8870, 282, 10155, 540, 519, 4611, 21070, 1496, 334, 316, 910, 630, 28436, 264, 946, 2901, 1496, 992, 316, 610, 1496, 26383, 316, 547, 14574, 519, 10066, 540, 519, 4611, 21070, 3681, 910, 630, 28436, 264, 6724, 282, 585, 513, 2347, 1592, 267, 1294, 12430, 31580, 314, 313, 3266, 30467, 6540, 20373, 692, 3040, 634, 20023, 30467, 16868, 267, 524, 264, 1109, 12252, 7024, 606, 1269, 337, 343, 322, 259, 1109, 30467, 538, 799, 782, 519, 13366, 616, 4642, 563, 634, 20023, 30467, 16868, 267, 678, 264, 1109, 12252, 7024, 606, 1269, 337, 343, 337, 259, 1109, 30467, 538, 799, 782, 519, 13366, 616, 4642, 563, 634, 20023, 30467, 3890, 1109, 12252, 7024, 606, 1269, 271, 343, 271, 259, 1109, 30467, 563, 3040, 634, 20023, 309, 10725, 5560, 264, 1109, 12252, 7024, 513, 546, 8820, 21070, 538, 799, 782, 519, 13366, 616, 4642, 563, 634, 20023, 309, 10725, 314, 992, 28488, 323, 264, 1109, 12252, 31136, 899, 20023, 309, 10725, 5560, 264, 1109, 21955, 602, 513, 4737, 21070, 568, 8120, 269, 476, 1109, 2252, 519, 10066, 4781, 568, 31360, 610, 952, 20023, 309, 10725, 314, 26383, 28488, 323, 264, 28812, 1031, 267, 513, 6241, 21070, 568, 8120, 563, 1403, 519, 10155, 568, 711, 1109, 25075, 3660, 267, 621, 9949, 338, 547, 4642, 780, 14300, 692, 3436, 4399, 9507, 346, 5976, 4153, 3847, 7268, 9507, 346, 22923, 22042, 315, 9507, 346, 30791, 31580, 348, 316, 315, 2431, 2567, 14204, 3436, 4399, 9507, 346, 313, 3266, 30467, 4153, 3847, 263, 275, 9368, 7751, 454, 4399, 3847, 24560, 8218, 15204, 2410, 31014, 31014, 2410, 271, 31905, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 27874, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 27874, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 27874, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 31905, 2715, 271, 4153, 754, 15204, 4153, 2431, 316, 259, 630, 272, 994, 3436, 4399, 9507, 346, 313, 3266, 309, 10725, 22042, 315, 9507, 346, 992, 348, 316, 315, 3847, 263, 274, 9368, 7751, 454, 4399, 3847, 24560, 8218, 15204, 2410, 764, 322, 2410, 271, 31905, 2715, 271, 31905, 2715, 271, 4153, 754, 15204, 4153, 2431, 316, 259, 630, 273, 994, 3436, 4399, 9507, 346, 313, 3266, 309, 10725, 4153, 3847, 263, 273, 9368, 7751, 454, 4399, 3847, 24560, 8218, 15204, 2410, 337, 2410, 271, 27874, 2715, 271, 4153, 754, 15204, 4153, 2431, 316, 259, 630, 274, 264, 0, 9616, 593, 8111, 6570, 20232, 543, 3213, 6254, 17796, 692, 1892, 8074, 454, 1892, 12085, 547, 3314, 454, 1892, 27678, 692, 21841, 6570, 20232, 692, 2691, 1079, 610, 811, 6329, 2743, 267, 789, 15936, 543, 3132, 513, 25739, 5951, 4171, 3601, 666, 581, 7229, 676, 1210, 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 ]
[ 634, 13766, 585, 3642, 1949, 547, 581, 6045, 9428, 538, 1463, 8167, 547, 519, 6988, 540, 891, 1949, 269, 634, 3804, 540, 2104, 3642, 1382, 543, 1646, 1522, 581, 547, 1711, 3631, 602, 666, 2491, 741, 5079, 543, 5615, 602, 3425, 666, 10146, 543, 3972, 563, 268, 9751, 3684, 1565, 3631, 593, 24797, 1239, 2959, 1510, 11488, 1239, 547, 513, 3844, 4087, 568, 2009, 609, 10480, 23306, 1565, 269, 5221, 621, 8952, 1239, 4357, 543, 11912, 1524, 593, 6771, 1942, 267, 713, 1505, 666, 581, 3730, 585, 31442, 26236, 7245, 563, 268, 1323, 28109, 7020, 1949, 13324, 676, 5841, 4987, 786, 1832, 3478, 1732, 267, 3850, 585, 5488, 543, 811, 5730, 8446, 540, 19035, 2534, 538, 31442, 26236, 269, 634, 2702, 547, 3713, 543, 2061, 24966, 786, 581, 15186, 4824, 563, 1692, 7856, 1949, 616, 3710, 543, 9738, 1522, 581, 32753, 12012, 676, 6220, 3642, 543, 3684, 1565, 883, 31442, 26236, 7245, 269, 5843, 338, 26236, 25121, 666, 3035, 1732, 3432, 267, 25382, 267, 543, 8112, 676, 9001, 3642, 6620, 585, 13337, 7020, 267, 24913, 12605, 267, 543, 4199, 14305, 269, 19630, 1944, 3790, 267, 5355, 519, 3593, 1995, 267, 543, 30082, 7303, 24966, 616, 782, 5383, 540, 9001, 3642, 538, 31442, 26236, 2359, 269, 20871, 949, 4625, 10244, 519, 1379, 540, 3642, 538, 31442, 26236, 2359, 543, 8275, 922, 2407, 1761, 676, 20170, 547, 1655, 2853, 267, 4509, 10311, 593, 23484, 267, 543, 2324, 2066, 6887, 269, 2060, 7835, 899, 10081, 27214, 2718, 1949, 543, 2491, 762, 3642, 593, 519, 1259, 267, 519, 2104, 540, 5841, 4987, 538, 31442, 26236, 2359, 568, 3168, 6505, 269, 0, 25369, 11106, 630, 9590, 264, 568, 513, 2629, 3815, 538, 10747, 519, 2104, 540, 1896, 4213, 1369, 519, 16111, 4657, 2029, 5251, 269, 1306, 519, 1297, 540, 3642, 3156, 4679, 267, 621, 3587, 10423, 602, 972, 568, 513, 1713, 10421, 585, 3608, 2645, 547, 3713, 3642, 269, 1452, 2645, 1599, 607, 25330, 267, 10018, 532, 519, 931, 2615, 1190, 543, 5837, 13345, 540, 3642, 676, 16326, 543, 10893, 1761, 10898, 543, 28639, 563, 1607, 3408, 6212, 593, 3642, 22572, 543, 6663, 547, 10146, 741, 2956, 543, 3310, 593, 519, 3384, 6639, 5117, 269, 769, 1840, 267, 649, 1445, 938, 3007, 593, 519, 3056, 3642, 7020, 2645, 267, 6313, 741, 19206, 543, 7418, 547, 519, 5571, 4901, 827, 519, 3743, 6388, 540, 5841, 4987, 563, 1432, 568, 3642, 5489, 10725, 15484, 888, 9590, 1543, 18785, 267, 1419, 5219, 547, 607, 31744, 18785, 267, 616, 6620, 3226, 22041, 547, 20559, 543, 10646, 1063, 1543, 3812, 676, 5841, 4987, 543, 1257, 15866, 30363, 676, 3425, 269, 1452, 22572, 616, 2629, 7405, 585, 21101, 543, 824, 8639, 602, 1616, 547, 6461, 6510, 519, 2707, 540, 2854, 1344, 563, 7212, 621, 568, 4101, 547, 8308, 10646, 1063, 1257, 6383, 676, 3642, 543, 1257, 2854, 676, 3425, 267, 9367, 540, 891, 7020, 2645, 616, 2324, 2182, 547, 2087, 519, 10727, 540, 741, 2029, 269, 901, 8309, 547, 519, 6024, 3646, 547, 2327, 11413, 543, 12477, 538, 519, 3059, 1344, 1604, 563, 1692, 6496, 3642, 5489, 10725, 15484, 4518, 888, 2304, 3642, 18785, 1907, 3252, 1210, 1533, 6361, 7308, 19603, 4066, 267, 9001, 10427, 6620, 543, 2553, 538, 2067, 1893, 4393, 269, 634, 1967, 540, 519, 1062, 14340, 689, 513, 11826, 2866, 5650, 267, 1282, 799, 621, 4203, 2231, 519, 2702, 547, 2697, 3982, 3270, 543, 2934, 602, 616, 1459, 538, 3642, 24378, 1570, 676, 6313, 1804, 12531, 540, 1239, 563, 763, 4295, 540, 922, 5106, 12346, 593, 519, 4359, 7020, 2203, 267, 513, 8849, 3060, 23939, 20979, 1282, 2866, 547, 2697, 5634, 14960, 538, 16105, 267, 2262, 3903, 267, 543, 1893, 3270, 269, 1635, 7900, 4183, 10868, 267, 519, 18785, 14439, 1271, 3334, 538, 519, 6594, 1257, 267, 7175, 513, 1463, 6476, 609, 519, 3270, 621, 814, 19927, 543, 6740, 538, 922, 2203, 563, 1607, 1950, 5650, 2636, 519, 18785, 547, 1118, 2625, 8494, 2065, 20241, 267, 3246, 2143, 4030, 883, 519, 5506, 602, 513, 1978, 4062, 540, 1570, 729, 2854, 676, 5841, 4987, 269, 3642, 18785, 1907, 568, 11684, 1907, 602, 666, 11179, 3082, 543, 2611, 693, 519, 21282, 540, 519, 5571, 4305, 540, 23243, 1063, 1480, 543, 3642, 24378, 1257, 538, 513, 7683, 4657, 3059, 1604, 563, 12749, 476, 276, 7454, 3642, 23618, 13088, 454, 16821, 313, 3266, 568, 606, 1930, 21299, 3642, 18785, 1907, 602, 608, 26118, 693, 10502, 9301, 1543, 3812, 676, 7986, 3642, 3631, 971, 13378, 31744, 267, 31744, 268, 274, 267, 31744, 268, 275, 267, 645, 731, 267, 543, 700, 17442, 30538, 269, 31744, 313, 3266, 18271, 513, 9836, 543, 9488, 1184, 547, 3970, 8320, 540, 11234, 2318, 4093, 267, 4061, 10018, 532, 4096, 762, 543, 4977, 2164, 269, 634, 21686, 4580, 568, 2966, 547, 581, 2653, 585, 3755, 547, 6330, 543, 20205, 538, 3829, 2079, 269, 898, 3091, 3308, 24096, 543, 2143, 7194, 593, 519, 7872, 540, 5841, 4987, 585, 1142, 3948, 563, 16821, 313, 3266, 18252, 2681, 2275, 10757, 32331, 543, 22905, 10409, 2079, 547, 1683, 513, 18900, 4999, 540, 3362, 24669, 3137, 693, 513, 1164, 1377, 543, 2143, 2930, 18362, 269, 901, 16877, 1312, 19174, 543, 3755, 538, 741, 13287, 540, 2357, 4328, 519, 14496, 540, 1543, 269, 27933, 560, 513, 4657, 3642, 1158, 267, 31744, 313, 3266, 4249, 513, 2629, 1909, 538, 8497, 519, 6111, 543, 10727, 540, 2854, 1543, 563, 27670, 1275, 269, 2967, 3091, 513, 10058, 543, 782, 10276, 7609, 532, 3070, 676, 6220, 606, 5841, 4987, 18785, 543, 513, 17096, 2638, 518, 883, 922, 3760, 269, 634, 3642, 18785, 1907, 568, 3810, 9833, 585, 922, 7415, 8856, 538, 7114, 5931, 3812, 676, 2442, 3642, 2645, 899, 19208, 543, 645, 731, 269, 23850, 4481, 585, 2319, 5698, 267, 18882, 1275, 269, 2967, 3091, 5969, 12967, 29782, 971, 607, 519, 4781, 547, 16436, 9164, 547, 519, 3135, 267, 1569, 11571, 5638, 267, 543, 24672, 15814, 4681, 563, 763, 3760, 5097, 3032, 619, 547, 1543, 6725, 543, 22048, 4213, 267, 855, 621, 568, 849, 2139, 547, 4896, 945, 6499, 547, 19472, 519, 14496, 540, 741, 1543, 676, 30260, 602, 621, 568, 1863, 689, 3642, 269, 18882, 1275, 269, 2967, 711, 1152, 2488, 922, 1292, 10342, 855, 849, 10607, 519, 2298, 540, 1543, 676, 12419, 5360, 21747, 31824, 10526, 269, 901, 16877, 3755, 547, 1711, 4277, 543, 11593, 24669, 1344, 563, 290, 641, 1803, 6545, 5036, 3294, 606, 3642, 18785, 1907, 6306, 676, 10647, 513, 9488, 6268, 540, 1257, 13597, 693, 519, 4845, 1377, 267, 5356, 3755, 513, 5730, 2079, 269, 634, 3760, 814, 519, 2702, 547, 10646, 1063, 15102, 2854, 676, 3425, 543, 1346, 6383, 676, 5841, 4987, 269, 3958, 267, 621, 568, 3810, 21295, 538, 7114, 13980, 602, 949, 723, 1044, 22950, 337, 1078, 538, 1931, 547, 10703, 531, 3642, 1646, 269, 901, 568, 6913, 998, 519, 946, 540, 4359, 16097, 269, 10515, 1803, 6545, 19299, 519, 12588, 547, 3713, 3642, 1790, 22004, 2707, 3009, 689, 4609, 899, 27707, 29878, 267, 10515, 559, 582, 267, 543, 19208, 538, 476, 1789, 1114, 4654, 563, 2005, 6104, 8460, 713, 676, 11617, 23243, 1063, 1257, 2854, 676, 3425, 543, 1257, 6383, 676, 6191, 269, 10515, 1803, 6545, 8499, 14439, 8320, 540, 23652, 610, 22950, 337, 1078, 3642, 1543, 267, 3246, 4030, 883, 519, 1808, 7506, 1459, 1369, 519, 1893, 269, 10515, 1803, 6545, 685, 11428, 547, 4509, 519, 8699, 540, 2854, 1344, 538, 519, 3059, 7706, 568, 15091, 676, 713, 2347, 1505, 563, 310, 514, 8725, 3642, 568, 513, 3593, 7888, 3642, 18785, 1907, 602, 3091, 513, 2241, 21686, 4580, 585, 4674, 1652, 12445, 269, 898, 3091, 513, 9488, 2079, 540, 519, 1257, 543, 2488, 513, 5506, 2861, 7447, 540, 519, 10171, 602, 519, 1543, 729, 2813, 676, 5841, 4987, 269, 12736, 8725, 3642, 18271, 10427, 9804, 1915, 6284, 630, 8016, 305, 264, 2029, 547, 16900, 1184, 1896, 3758, 2010, 267, 1519, 2703, 343, 267, 795, 17989, 267, 543, 533, 978, 267, 21214, 1312, 11147, 543, 1688, 25740, 1257, 563, 763, 3760, 779, 1582, 3146, 19959, 6111, 2557, 540, 476, 4200, 269, 277, 260, 1128, 1571, 6015, 538, 922, 21520, 269, 5047, 267, 922, 9488, 2079, 540, 5931, 2636, 3755, 547, 22942, 1978, 2127, 540, 6161, 269, 12736, 8725, 3642, 20502, 922, 7029, 547, 10409, 13784, 543, 6111, 676, 922, 3102, 1617, 13308, 1489, 267, 21214, 2296, 267, 4436, 267, 5053, 267, 543, 3943, 563, 763, 3642, 5489, 10725, 1907, 540, 9061, 5522, 698, 16621, 3684, 1565, 543, 2067, 1893, 4393, 267, 9001, 513, 3102, 10471, 602, 2882, 1312, 9758, 1480, 27787, 543, 5841, 4987, 24378, 1543, 269, 634, 1982, 3927, 18252, 1928, 560, 1136, 2079, 547, 2697, 3982, 10409, 3270, 1808, 547, 1142, 2707, 267, 3850, 621, 547, 8308, 16174, 1063, 1603, 6383, 676, 3425, 543, 1257, 6383, 676, 5841, 4987, 563, 763, 23243, 4183, 540, 9061, 5522, 698, 568, 922, 7415, 8856, 538, 16326, 17096, 267, 799, 568, 6913, 676, 519, 13345, 540, 606, 3642, 2203, 602, 16621, 811, 982, 476, 272, 269, 276, 5479, 2188, 269, 634, 9061, 5522, 698, 2203, 568, 3810, 2500, 538, 16326, 1256, 519, 1034, 29535, 2299, 24320, 2213, 2665, 540, 17096, 267, 11744, 922, 2702, 547, 2697, 10427, 3646, 547, 13861, 1257, 269, 9061, 5522, 698, 267, 1373, 513, 4395, 14725, 1676, 538, 519, 2344, 267, 9727, 11108, 15334, 538, 23243, 1063, 1344, 3812, 676, 3425, 543, 602, 6383, 676, 3642, 609, 922, 5969, 12967, 3642, 2029, 563, 12749, 476, 276, 7454, 1635, 10139, 3642, 5489, 10725, 13088, 454, 763, 3642, 22048, 1907, 568, 513, 14984, 21271, 3642, 18785, 1907, 602, 6087, 596, 547, 1711, 1543, 602, 711, 1152, 25389, 519, 7453, 4170, 540, 3406, 2599, 6620, 855, 849, 22992, 13462, 609, 707, 5497, 5304, 563, 5978, 3642, 1907, 267, 799, 3112, 581, 9571, 267, 568, 3056, 519, 1259, 538, 713, 14634, 269, 898, 2636, 596, 547, 3035, 606, 4998, 3666, 1063, 13267, 547, 3425, 543, 17306, 6620, 269, 3143, 3476, 798, 596, 991, 547, 1118, 8332, 2478, 269, 3767, 267, 596, 666, 18390, 1020, 1543, 602, 814, 519, 2702, 547, 6952, 519, 3007, 540, 1312, 6620, 543, 5806, 3215, 1480, 3988, 563, 763, 12117, 540, 938, 3070, 568, 11911, 547, 922, 6946, 21271, 7271, 267, 799, 18252, 5969, 12967, 2029, 547, 16950, 8393, 6330, 519, 10848, 540, 3642, 7020, 269, 901, 18715, 602, 707, 1543, 711, 1152, 10742, 519, 2930, 7355, 585, 8236, 1164, 3406, 2599, 2164, 855, 849, 13976, 513, 1713, 543, 3929, 6125, 609, 707, 5304, 269, 634, 1635, 10139, 518, 1907, 2636, 596, 547, 9585, 1312, 13597, 543, 11938, 8195, 267, 1510, 2348, 547, 14207, 593, 2901, 563, 289, 2988, 817, 16821, 568, 606, 4359, 3642, 1907, 4481, 2919, 547, 856, 8243, 691, 543, 21271, 3642, 18785, 1907, 267, 3927, 9427, 1022, 7020, 6127, 269, 898, 6663, 547, 22499, 519, 1543, 2504, 2361, 676, 28196, 1456, 519, 1259, 1543, 568, 6383, 563, 289, 2988, 817, 16821, 568, 8149, 547, 21528, 1543, 15888, 538, 10188, 713, 11179, 4657, 1604, 538, 3210, 547, 891, 7965, 269, 3776, 3358, 3435, 5512, 596, 547, 9846, 2087, 3642, 24378, 1543, 267, 4180, 621, 8308, 13147, 923, 1480, 11029, 2906, 543, 3788, 4625, 32373, 762, 676, 3642, 18785, 2645, 563, 5978, 5969, 12967, 2029, 711, 1152, 23352, 519, 10832, 1031, 676, 3642, 22572, 547, 2697, 3684, 24378, 1570, 855, 849, 5849, 602, 707, 1257, 568, 1480, 1242, 543, 12303, 967, 626, 3907, 27720, 689, 1344, 2813, 676, 1004, 563, 308, 526, 25018, 762, 269, 2967, 568, 513, 3407, 556, 8586, 1907, 4481, 2813, 547, 3986, 519, 3642, 24378, 1543, 3812, 676, 1949, 899, 19208, 267, 808, 28771, 267, 25767, 6993, 296, 267, 543, 1866, 269, 898, 8591, 513, 9758, 1480, 5905, 547, 519, 1257, 267, 3927, 21271, 532, 3642, 18785, 1907, 269, 634, 3642, 1257, 1480, 6500, 10597, 519, 2298, 540, 707, 960, 267, 8744, 621, 593, 1612, 609, 1480, 1603, 269, 1635, 8939, 968, 16058, 1125, 2223, 519, 1981, 540, 3642, 7020, 568, 17515, 563, 308, 526, 25018, 762, 269, 2967, 568, 513, 3810, 1950, 1907, 2966, 547, 4894, 3642, 7020, 543, 1480, 1125, 707, 1603, 269, 898, 3096, 10427, 6620, 543, 22950, 337, 2084, 2553, 547, 2327, 602, 707, 1603, 3112, 581, 9571, 676, 3642, 22572, 269, 3776, 3070, 6908, 6050, 519, 5650, 540, 4931, 28124, 3642, 22572, 267, 7175, 596, 547, 5352, 1570, 602, 568, 22992, 1480, 1242, 269, 901, 13315, 711, 1152, 19208, 855, 849, 12347, 16621, 1896, 3642, 18785, 1907, 267, 1312, 1863, 543, 6976, 267, 5827, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3014, 609, 2828, 269, 1411, 1142, 723, 2189, 3197, 609, 3982, 5759, 269, 11554, 1927, 267, 596, 9192, 891, 9342, 547, 14710, 14763, 543, 2347, 13485, 630, 3712, 937, 13659, 1040, 1809, 1018, 952, 3025, 4941, 547, 1404, 1152, 741, 1378, 1259, 267, 24937, 16542, 286, 2334, 1223, 1291, 547, 14784, 543, 5821, 630, 785, 1339, 1143, 25631, 21344, 1312, 4485, 666, 948, 1711, 10103, 543, 1967, 269, 3767, 1577, 781, 1294, 875, 891, 2035, 4019, 547, 1483, 1272, 780, 1262, 1432, 568, 10572, 1143, 15140, 23149, 1143, 6212, 593, 2123, 3853, 267, 5191, 267, 543, 7115, 269, 5994, 1373, 606, 7376, 945, 2418, 1582, 22325, 543, 6499, 547, 2671, 741, 5876, 609, 519, 1158, 269, 1358, 949, 1589, 267, 834, 296, 1616, 547, 1246, 1250, 9909, 543, 1831, 3811, 998, 2182, 960, 1701, 4658, 945, 10709, 2509, 1367, 2065, 5784, 4043, 547, 1871, 22464, 543, 1818, 5079, 1759, 593, 741, 7375, 780, 1262, 1432, 568, 11814, 13659, 15140, 8624, 937, 13659, 8711, 1895, 3961, 267, 9322, 267, 543, 9316, 269, 1280, 1383, 267, 4952, 2713, 538, 513, 9395, 10275, 27848, 2146, 1141, 2818, 1413, 856, 585, 835, 1776, 269, 589, 1268, 609, 2445, 22999, 4978, 1522, 2161, 267, 834, 2171, 1491, 1416, 540, 1142, 824, 1317, 649, 2811, 1920, 543, 12543, 1701, 1452, 2043, 2356, 1747, 1390, 2956, 593, 4509, 2178, 3347, 543, 7700, 9797, 547, 2486, 780, 1262, 1692, 1281, 9177, 23426, 3776, 15154, 15140, 290, 11857, 4249, 513, 1713, 1909, 538, 5935, 2436, 2576, 682, 753, 811, 4724, 1367, 1143, 610, 2445, 13659, 269, 2368, 2477, 267, 899, 519, 2136, 2276, 267, 11168, 2123, 10781, 543, 22624, 267, 1247, 1866, 267, 899, 3567, 267, 1445, 593, 18900, 30398, 1369, 2516, 269, 1717, 267, 621, 781, 1898, 547, 3314, 602, 711, 1169, 1268, 14659, 4010, 899, 741, 8284, 4961, 282, 1082, 11100, 3344, 540, 1312, 5380, 780, 1262, 25911, 3496, 2920, 4373, 10468, 2416, 1367, 1143, 6862, 2445, 13659, 568, 20244, 1434, 610, 3983, 1765, 18485, 723, 5383, 4470, 593, 2796, 269, 18964, 23141, 2337, 6536, 5647, 543, 4830, 3206, 267, 855, 1932, 1454, 1223, 1267, 538, 10072, 269, 11531, 267, 5009, 7104, 5539, 18791, 2950, 543, 7028, 1346, 538, 991, 267, 2943, 7050, 8561, 1522, 588, 604, 548, 2123, 2208, 269, 15531, 519, 1318, 3666, 1063, 873, 2636, 721, 547, 8853, 13948, 543, 13998, 780, 3086, 979, 1394, 547, 707, 3381, 3014, 9183, 269, 6056, 827, 875, 13326, 1367, 1983, 543, 10319, 3646, 3366, 547, 11802, 269, 6333, 7311, 713, 3992, 547, 1483, 3734, 3871, 5473, 15032, 267, 3885, 267, 610, 1256, 5691, 17052, 256, 1635, 1620, 1367, 1143, 543, 2445, 13659, 267, 596, 4312, 6591, 3407, 4030, 883, 1480, 2623, 2066, 4529, 269, 5901, 3695, 267, 1565, 267, 543, 3395, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15697, 26419, 11822, 12019, 25003, 267, 645, 321, 336, 1656, 17865, 595, 1005, 2311, 5851, 454, 15697, 26419, 11822, 12019, 25003, 267, 645, 321, 336, 1656, 17865, 595, 1005, 2311, 5851, 454, 763, 22684, 540, 8168, 19837, 550, 281, 10236, 5505, 267, 19391, 520, 5314, 543, 7101, 673, 2817, 1143, 538, 6576, 269, 5507, 282, 1715, 3840, 281, 2243, 269, 634, 670, 1564, 1074, 328, 6356, 281, 13075, 19178, 267, 5274, 7126, 267, 543, 519, 5915, 1047, 540, 4004, 1143, 269, 808, 281, 23134, 2160, 4964, 269, 2228, 11555, 3201, 14877, 16038, 6573, 4041, 2910, 17162, 15382, 19170, 267, 29851, 304, 6730, 590, 3201, 307, 6436, 3112, 798, 3045, 8811, 23624, 1934, 267, 1683, 2630, 5497, 538, 513, 1007, 3007, 269, 634, 12602, 540, 17340, 345, 1676, 543, 631, 2478, 602, 2228, 11555, 3201, 14877, 16038, 6573, 4041, 4112, 2803, 540, 6739, 11776, 936, 519, 2698, 9114, 540, 930, 8013, 1505, 568, 513, 2631, 540, 12170, 18659, 269, 11683, 282, 2228, 11555, 3201, 14877, 16038, 6573, 4041, 2910, 17162, 15382, 19170, 267, 29851, 304, 540, 11615, 602, 1522, 1459, 3084, 2213, 269, 476, 1001, 291, 282, 547, 782, 1306, 3144, 2984, 269, 4329, 267, 849, 796, 4328, 1004, 540, 930, 5462, 2228, 11555, 3201, 14877, 16038, 6573, 4041, 2910, 17162, 15382, 19170, 267, 29851, 304, 1522, 3035, 1044, 13518, 676, 1514, 10848, 267, 543, 972, 1131, 5512, 1100, 3828, 559, 697, 547, 2196, 713, 3226, 269, 476, 1001, 280, 282, 971, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23149, 1143, 4211, 565, 937, 13659, 257, 607, 851, 540, 834, 25787, 1315, 9061, 4211, 8590, 10017, 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, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 4884, 3957, 6129, 5500, 6807, 1141, 782, 519, 1004, 941, 7874, 543, 2186, 269, 634, 4884, 729, 1634, 585, 922, 4190, 4365, 267, 855, 3006, 519, 4365, 666, 581, 20437, 256, 2334, 781, 1946, 649, 991, 938, 2027, 2828, 1572, 14368, 5505, 269, 1358, 616, 27568, 945, 1353, 519, 4365, 543, 948, 721, 917, 1018, 547, 5957, 610, 3142, 950, 649, 979, 3544, 780, 3080, 1554, 267, 513, 1895, 540, 8049, 3214, 4280, 519, 4884, 781, 5172, 14368, 6048, 267, 6004, 269, 6129, 5500, 267, 875, 646, 6487, 1018, 519, 4365, 786, 581, 899, 14182, 610, 1985, 3018, 269, 1261, 20493, 543, 1767, 267, 834, 11039, 267, 1250, 15210, 2828, 267, 1577, 803, 2995, 596, 513, 5728, 910, 594, 946, 1945, 1572, 1412, 5471, 11136, 1670, 20925, 256, 262, 898, 781, 513, 1259, 547, 3589, 519, 4365, 1759, 593, 4974, 3270, 543, 3652, 3010, 16031, 269, 6129, 5500, 6045, 2417, 267, 834, 2791, 1294, 267, 1175, 899, 875, 596, 1451, 602, 9849, 707, 4764, 1723, 520, 8952, 596, 3819, 1282, 24925, 2395, 267, 594, 1413, 693, 1919, 899, 2842, 4287, 267, 12269, 267, 543, 5210, 547, 1174, 519, 4365, 1732, 269, 1656, 798, 596, 3314, 875, 3006, 1310, 1082, 3905, 13566, 2395, 267, 649, 1205, 835, 16830, 1554, 286, 2107, 875, 5162, 2501, 1169, 1032, 12482, 763, 3214, 21330, 31113, 269, 6004, 269, 6129, 5500, 4682, 593, 267, 834, 17829, 616, 1806, 540, 3270, 602, 10956, 2933, 936, 942, 1107, 789, 2811, 851, 540, 519, 2067, 7544, 1063, 519, 3047, 267, 3141, 267, 543, 2011, 1472, 721, 269, 1635, 3168, 5702, 693, 891, 23929, 267, 594, 666, 1118, 13473, 7058, 525, 827, 2436, 621, 786, 581, 13566, 610, 31063, 267, 3636, 610, 4411, 4166, 15323, 3891, 1287, 4951, 873, 1010, 9589, 1907, 7901, 4904, 609, 19269, 899, 5687, 18852, 267, 3046, 18852, 267, 543, 1256, 5904, 269, 2060, 1346, 2645, 267, 646, 32625, 543, 5638, 2338, 543, 5961, 827, 519, 6607, 543, 2011, 1142, 1554, 269, 3973, 267, 1210, 519, 670, 9169, 21524, 601, 267, 513, 5100, 2780, 1982, 602, 17358, 519, 1950, 2081, 4365, 31136, 267, 6004, 269, 6129, 5500, 2306, 2631, 540, 3388, 780, 2691, 519, 1453, 4862, 713, 267, 789, 9289, 952, 519, 2780, 1223, 2479, 1118, 9073, 269, 834, 17764, 9811, 2437, 12943, 6004, 269, 6129, 5500, 267, 834, 16838, 1498, 519, 670, 9169, 21524, 601, 1281, 513, 9735, 2816, 4543, 803, 18783, 519, 4365, 267, 3006, 6397, 2621, 4755, 269, 3807, 899, 875, 3006, 596, 1522, 1745, 513, 3787, 669, 11035, 16280, 1317, 540, 513, 8908, 267, 1256, 950, 621, 781, 3636, 3544, 269, 1809, 1810, 1405, 5855, 282, 1034, 540, 519, 942, 267, 519, 9472, 2337, 721, 5965, 1134, 585, 1022, 1826, 540, 4365, 15323, 7661, 267, 519, 1453, 4941, 547, 917, 875, 2484, 6619, 789, 1223, 1544, 609, 6004, 269, 6129, 5500, 781, 11236, 269, 700, 2795, 5944, 267, 6004, 269, 6129, 5500, 14452, 267, 834, 4415, 1250, 22973, 3659, 267, 519, 670, 9169, 21524, 601, 267, 594, 666, 2356, 2285, 596, 1434, 2093, 827, 519, 4365, 585, 1896, 2395, 269, 1717, 267, 2487, 8906, 1397, 602, 6148, 14693, 267, 594, 3513, 581, 2111, 547, 32708, 1256, 20991, 883, 519, 2104, 1765, 1575, 547, 811, 982, 513, 2898, 1032, 2476, 15323, 4517, 865, 267, 8164, 2576, 12134, 6004, 269, 6129, 5500, 827, 519, 4365, 267, 646, 1131, 23217, 2671, 1018, 646, 6785, 543, 9415, 3025, 547, 3251, 5423, 1247, 11981, 519, 5898, 540, 2470, 538, 6129, 5500, 6807, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 302, 7034, 27263, 25972, 5174, 3008, 3633, 19766, 7473, 9569, 3201, 589, 2793, 14877, 23154, 10396, 700, 8016, 3201, 14160, 8379, 12442, 667, 312, 2793, 300, 12903, 269, 623, 11286, 476, 274, 281, 11123, 4488, 3008, 16249, 454, 21292, 281, 15239, 15035, 6384, 20925, 267, 670, 9169, 21524, 601, 267, 12119, 9472, 267, 536, 604, 584, 322, 566, 2079, 267, 2693, 13350, 640, 267, 5993, 2837, 8390, 267, 5993, 8337, 2275, 944, 532, 4783, 267, 2837, 3665, 267, 2199, 2916, 2242, 563, 20082, 4467, 1584, 1049, 3375, 1818, 568, 5941, 538, 3498, 547, 12119, 2837, 23004, 2921, 883, 2272, 17149, 22357, 2470, 540, 2199, 2916, 1949, 543, 10638, 540, 1239, 593, 6325, 7422, 269, 1284, 1445, 593, 2837, 26037, 538, 2474, 540, 3232, 1797, 543, 1101, 4125, 519, 4244, 12497, 2203, 540, 2199, 2916, 6384, 630, 1492, 2203, 540, 1728, 4614, 637, 529, 7939, 609, 5595, 15222, 1436, 267, 865, 10777, 670, 9169, 21524, 601, 264, 883, 971, 12642, 269, 10765, 1296, 519, 670, 9169, 21524, 601, 568, 10503, 6707, 9402, 954, 2335, 783, 2837, 13260, 267, 593, 519, 4493, 540, 799, 621, 3587, 5732, 2009, 547, 8831, 23004, 540, 2199, 3232, 1797, 909, 547, 811, 982, 476, 272, 1032, 538, 2104, 269, 594, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18404, 11136, 1670, 5983, 26511, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 16661, 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, 3848, 476, 278, 281, 27620, 5004, 538, 519, 5769, 540, 12085, 630, 31166, 2020, 7072, 692, 2026, 649, 1847, 2509, 513, 811, 10562, 1158, 267, 519, 5769, 540, 12085, 630, 31166, 264, 814, 1831, 513, 1713, 6345, 538, 1585, 6080, 269, 2060, 17542, 540, 3457, 4867, 4448, 543, 6788, 540, 713, 1297, 30945, 676, 476, 10711, 271, 267, 3926, 2359, 814, 3144, 4099, 3942, 607, 513, 2565, 2460, 540, 14164, 6388, 269, 901, 3184, 12538, 883, 519, 1523, 540, 3926, 2359, 1369, 519, 2796, 540, 14164, 267, 922, 2956, 267, 2591, 267, 1655, 2853, 267, 543, 2104, 8846, 780, 8139, 27620, 5004, 692, 28319, 823, 2359, 4016, 547, 519, 3157, 543, 2645, 1031, 547, 6895, 267, 1852, 267, 543, 5150, 3457, 4448, 538, 606, 14164, 3060, 269, 898, 3322, 4180, 602, 782, 3457, 1599, 7157, 267, 616, 8242, 5781, 267, 543, 2611, 17956, 1996, 6880, 6937, 269, 634, 1184, 2882, 11891, 9477, 267, 11865, 532, 267, 12122, 2359, 267, 3301, 10311, 267, 26129, 267, 5464, 267, 543, 16468, 269, 1452, 3252, 2832, 547, 2226, 6099, 2773, 267, 7413, 29987, 267, 543, 3986, 3354, 2066, 519, 3003, 29488, 540, 14164, 3457, 780, 27735, 540, 27620, 5004, 538, 14164, 692, 4415, 519, 2810, 6988, 540, 14164, 5121, 267, 5883, 1367, 3457, 3587, 4101, 269, 769, 1228, 12930, 3926, 2359, 27875, 3906, 547, 1896, 4220, 971, 607, 4389, 7607, 1813, 547, 7928, 2736, 23957, 267, 2799, 5826, 3790, 267, 1239, 23563, 267, 543, 10220, 2152, 269, 7743, 3926, 2359, 5849, 15774, 2792, 1063, 3457, 267, 6971, 10512, 10848, 267, 4679, 1062, 10727, 267, 543, 24506, 2698, 1942, 540, 9562, 269, 5047, 267, 621, 6087, 3906, 547, 15407, 4359, 12642, 7207, 6035, 676, 14164, 8134, 267, 3056, 547, 4824, 3375, 6194, 543, 1870, 4093, 780, 29936, 538, 14164, 27620, 5004, 692, 31572, 3875, 26945, 3457, 13514, 2189, 2591, 1519, 1384, 272, 269, 2480, 531, 1464, 910, 1306, 519, 1297, 540, 3457, 9428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17807, 267, 814, 1651, 7568, 730, 607, 4446, 21036, 630, 22517, 541, 264, 538, 713, 3148, 543, 8754, 621, 568, 1572, 4446, 1695, 778, 2867, 571, 269, 898, 568, 835, 540, 519, 2185, 13411, 4025, 538, 18310, 269, 4340, 547, 8830, 534, 602, 7083, 31155, 20692, 3357, 1524, 547, 3618, 538, 519, 1106, 540, 513, 1630, 541, 543, 10032, 670, 597, 1415, 752, 553, 1506, 777, 340, 267, 606, 9409, 27313, 267, 693, 713, 1360, 5544, 269, 898, 568, 593, 519, 4871, 540, 590, 2194, 752, 25493, 269, 901, 31145, 568, 15600, 998, 667, 9618, 534, 269, 4595, 519, 3135, 568, 1644, 547, 7083, 31155, 20692, 621, 568, 10924, 607, 10723, 607, 717, 11535, 585, 1744, 2784, 323, 3873, 630, 19423, 1359, 547, 11937, 1040, 634, 15815, 15317, 720, 568, 693, 513, 1476, 26475, 540, 29815, 2456, 540, 5757, 24230, 6062, 543, 8754, 1082, 19623, 338, 1472, 18310, 543, 3127, 2097, 1934, 585, 16702, 693, 519, 1554, 540, 25120, 541, 1744, 1678, 7806, 328, 563, 16449, 519, 3622, 3504, 543, 2868, 5006, 16295, 540, 18310, 267, 634, 670, 2297, 6062, 568, 19157, 540, 873, 269, 898, 568, 1360, 3044, 607, 634, 623, 1662, 1575, 11294, 987, 540, 519, 9456, 18310, 269, 1703, 7381, 9661, 824, 3875, 1507, 4190, 23572, 269, 5272, 7853, 267, 945, 10301, 1934, 267, 666, 1405, 5706, 2933, 15877, 19825, 922, 4087, 267, 2041, 2246, 344, 607, 1134, 607, 922, 2067, 18472, 269, 901, 568, 519, 1747, 267, 799, 568, 4583, 605, 922, 3140, 267, 3909, 267, 2686, 543, 9683, 519, 18845, 6219, 269, 3371, 267, 519, 3239, 540, 519, 5601, 568, 3330, 519, 13946, 267, 799, 568, 2893, 7007, 540, 2067, 5898, 269, 898, 568, 2417, 3467, 513, 2186, 540, 11348, 605, 519, 1857, 2713, 1934, 267, 607, 621, 568, 607, 4583, 607, 824, 17633, 899, 519, 623, 1662, 1575, 11294, 987, 267, 519, 700, 3518, 7236, 543, 602, 269, 4634, 11451, 269, 898, 568, 519, 2067, 13946, 267, 799, 21753, 538, 476, 275, 628, 6552, 554, 11035, 3148, 543, 568, 1767, 547, 581, 538, 6228, 2094, 476, 7785, 271, 1296, 269, 898, 568, 519, 1747, 2893, 7007, 540, 2067, 5898, 543, 2686, 18472, 563, 13202, 752, 20580, 568, 538, 476, 23841, 918, 332, 5045, 7532, 540, 22186, 332, 663, 340, 543, 568, 4583, 9699, 31145, 3135, 269, 3967, 752, 20580, 568, 513, 4332, 2897, 540, 3967, 13403, 590, 7534, 269, 3967, 13403, 590, 7534, 729, 9310, 547, 7083, 10548, 519, 476, 278, 628, 1651, 28271, 540, 7083, 31155, 20692, 269, 23089, 540, 1719, 616, 281, 3967, 13403, 13527, 267, 4437, 342, 1695, 13495, 777, 267, 543, 3875, 4190, 22253, 269, 634, 1034, 513, 22273, 5534, 1554, 585, 519, 15815, 15317, 720, 568, 4437, 342, 1695, 7754, 577, 9564, 630, 21776, 1040, 898, 568, 1554, 540, 11812, 540, 519, 16806, 540, 519, 31001, 590, 7534, 543, 519, 2696, 10548, 609, 23769, 16806, 1184, 687, 269, 3509, 19623, 338, 689, 18310, 543, 3127, 7390, 519, 11812, 269, 589, 13411, 23920, 16444, 1744, 24642, 529, 342, 528, 30605, 25395, 519, 21219, 540, 519, 3504, 3854, 631, 603, 10042, 3751, 543, 519, 4332, 1747, 540, 590, 7534, 269, 634, 1459, 11454, 729, 3710, 676, 10348, 5696, 880, 629, 7315, 340, 540, 28607, 1090, 3258, 327, 540, 3127, 563, 1607, 8978, 540, 808, 2297, 327, 8705, 6013, 538, 519, 2749, 540, 808, 2297, 8705, 267, 519, 2212, 638, 11596, 540, 3967, 752, 20580, 7997, 269, 808, 2297, 8705, 10067, 1228, 341, 568, 835, 540, 18310, 779, 7986, 4025, 540, 31145, 543, 568, 5018, 538, 519, 9699, 12473, 267, 22087, 600, 8830, 3570, 563, 6097, 547, 10828, 267, 513, 1200, 2466, 3957, 808, 698, 611, 880, 8452, 538, 519, 561, 2158, 727, 4104, 540, 808, 2297, 327, 8705, 543, 1185, 513, 5326, 538, 799, 646, 729, 9859, 547, 2932, 26995, 693, 519, 5544, 269, 769, 13076, 609, 519, 5326, 267, 646, 3459, 20857, 543, 4166, 1336, 606, 3239, 540, 808, 2297, 327, 8705, 10067, 1228, 341, 269, 1261, 1287, 3710, 513, 11454, 609, 930, 4154, 267, 799, 646, 4547, 689, 513, 1747, 1572, 6129, 4157, 17495, 26196, 327, 563, 9617, 538, 4395, 540, 808, 2297, 327, 8705, 10067, 1228, 341, 11454, 972, 616, 1079, 10723, 22253, 267, 1572, 4446, 12584, 541, 543, 918, 3333, 2231, 541, 269, 4438, 519, 10548, 18937, 9564, 645, 643, 21036, 7754, 577, 9564, 9028, 11040, 267, 5215, 540, 19623, 338, 27043, 693, 891, 22253, 563, 28319, 724, 520, 568, 513, 1476, 26475, 540, 5757, 2558, 880, 25625, 543, 5757, 17833, 580, 663, 13403, 543, 568, 1360, 1713, 3909, 2558, 1508, 328, 269, 898, 568, 476, 277, 918, 332, 5087, 540, 23902, 18885, 724, 520, 269, 3371, 782, 476, 278, 13411, 717, 663, 13403, 23117, 2743, 1927, 547, 1106, 513, 23902, 599, 8643, 5211, 269, 6145, 2558, 1508, 328, 540, 717, 5190, 543, 26232, 10044, 693, 1325, 1695, 21171, 538, 3127, 8061, 724, 520, 568, 835, 540, 519, 1292, 4609, 585, 519, 13037, 540, 25120, 541, 1744, 1678, 7949, 328, 538, 18310, 269, 3509, 19623, 338, 689, 1472, 18310, 543, 3127, 547, 23365, 2933, 538, 519, 5757, 269, 25120, 541, 1744, 1678, 7806, 328, 568, 849, 2442, 569, 1634, 607, 7395, 515, 1744, 1678, 7949, 328, 269, 898, 568, 1101, 1554, 540, 13605, 8932, 3923, 7395, 327, 630, 300, 573, 5130, 1040, 769, 713, 1747, 519, 1629, 580, 16104, 3357, 547, 8956, 7083, 31155, 20692, 950, 646, 10710, 717, 1690, 754, 571, 267, 606, 17707, 689, 519, 4323, 540, 513, 25438, 850, 1310, 6217, 1010, 19001, 540, 20174, 563, 763, 11454, 540, 2494, 752, 600, 3570, 6013, 29691, 513, 476, 272, 267, 23714, 2173, 14629, 269, 634, 25976, 568, 835, 540, 519, 19183, 540, 519, 9699, 31001, 13225, 698, 342, 10620, 945, 568, 5156, 547, 723, 519, 1379, 547, 11886, 16858, 269, 898, 568, 835, 540, 519, 1034, 2442, 31145, 4609, 538, 18310, 269, 2494, 752, 600, 3570, 568, 13883, 476, 10219, 5998, 547, 519, 7178, 540, 22186, 332, 663, 340, 269, 898, 568, 513, 14869, 1614, 16923, 30382, 547, 519, 14629, 9008, 689, 26512, 918, 3873, 790, 14269, 593, 519, 22186, 332, 663, 340, 8566, 1251, 3873, 19814, 269, 2107, 596, 666, 1491, 519, 10814, 1286, 693, 4258, 637, 267, 476, 10441, 5998, 689, 22186, 332, 663, 340, 593, 519, 19814, 547, 623, 758, 327, 4673, 563, 4002, 713, 16990, 267, 18932, 6532, 596, 786, 3605, 519, 476, 273, 1650, 533, 698, 18649, 540, 4446, 1695, 328, 13527, 269, 898, 538, 519, 2295, 4190, 623, 758, 327, 4673, 14860, 269, 901, 9699, 11454, 538, 18310, 568, 6131, 547, 31828, 9874, 538, 519, 1630, 541, 23314, 267, 11347, 540, 519, 3196, 540, 1744, 752, 16210, 269, 1744, 752, 16210, 568, 519, 9699, 3993, 15831, 945, 568, 519, 5169, 540, 8471, 5876, 543, 1379, 269, 1744, 752, 16210, 607, 513, 21522, 1379, 17648, 1896, 5107, 269, 769, 519, 1106, 540, 667, 4026, 320, 267, 1744, 752, 16210, 14014, 519, 10971, 689, 1629, 976, 269, 667, 4026, 320, 3217, 593, 519, 23314, 540, 31828, 9874, 538, 519, 1106, 540, 513, 1630, 541, 1572, 4446, 1695, 328, 547, 533, 15127, 1200, 9409, 14763, 609, 1200, 11329, 512, 639, 802, 269, 4446, 1695, 328, 568, 3182, 3293, 609, 519, 3068, 540, 513, 1630, 541, 609, 513, 7484, 538, 835, 1688, 543, 3165, 538, 519, 824, 269, 1306, 971, 267, 4446, 1695, 328, 13527, 568, 513, 1360, 1271, 4099, 540, 10847, 585, 519, 9699, 25058, 525, 269, 12875, 1235, 616, 2693, 547, 1294, 10847, 619, 1818, 741, 1259, 547, 519, 11454, 593, 590, 4405, 17058, 8876, 5256, 2831, 585, 15093, 454, 13828, 2199, 11317, 540, 623, 758, 327, 4673, 543, 15805, 7567, 26600, 547, 519, 4446, 1695, 328, 11454, 5781, 269, 1403, 596, 1544, 593, 9683, 519, 11454, 20829, 707, 1378, 21534, 10935, 267, 581, 2386, 547, 1491, 513, 17552, 5371, 2059, 607, 519, 6532, 538, 623, 515, 11445, 8235, 568, 513, 17681, 5544, 585, 21363, 267, 15029, 11303, 676, 14952, 748, 5784, 563, 289, 785, 1506, 629, 553, 7236, 13495, 597, 568, 540, 1390, 3909, 2956, 547, 27734, 2713, 538, 519, 623, 758, 327, 4673, 3148, 269, 898, 568, 513, 4105, 13398, 540, 3909, 535, 969, 528, 269, 634, 11454, 3294, 568, 6131, 547, 519, 9699, 15831, 667, 4026, 320, 267, 945, 568, 623, 758, 327, 4673, 781, 6074, 27369, 25976, 269, 898, 568, 1767, 602, 519, 11454, 729, 2813, 1310, 519, 15831, 10288, 4622, 10609, 611, 698, 645, 636, 26864, 320, 547, 1305, 909, 1200, 18533, 1934, 269, 634, 645, 785, 629, 553, 7236, 11454, 729, 1287, 8547, 538, 29172, 476, 7277, 276, 269, 4595, 922, 10661, 267, 13225, 698, 342, 10620, 814, 1044, 606, 1843, 540, 10847, 1934, 593, 513, 3232, 4493, 454, 763, 15022, 622, 2497, 540, 645, 785, 629, 553, 7236, 13527, 568, 11303, 676, 513, 6288, 6438, 5251, 269, 3509, 2097, 1934, 547, 2972, 16990, 17552, 333, 923, 15029, 11981, 519, 5863, 31858, 4821, 269, 15190, 15066, 5784, 666, 581, 12842, 689, 713, 14952, 748, 642, 656, 720, 1448, 799, 5654, 856, 936, 519, 4884, 540, 623, 758, 327, 4673, 543, 3217, 538, 930, 540, 519, 11141, 22615, 28569, 269, 17006, 547, 519, 12560, 5790, 568, 519, 4195, 20416, 540, 968, 291, 327, 1575, 9731, 300, 4157, 339, 514, 987, 538, 18310, 568, 606, 1271, 31145, 3135, 585, 519, 25058, 525, 540, 7083, 31155, 20692, 607, 1134, 607, 547, 6844, 327, 1235, 5356, 16637, 1581, 19802, 689, 713, 1158, 269, 1703, 568, 513, 5544, 609, 8781, 2067, 3154, 269, 631, 4157, 339, 514, 987, 568, 11303, 676, 1079, 8933, 910, 519, 9370, 1506, 836, 14508, 538, 519, 5101, 543, 519, 918, 8932, 717, 663, 13403, 538, 519, 4639, 269, 634, 918, 8932, 717, 663, 13403, 568, 4583, 585, 519, 695, 531, 580, 1090, 695, 559, 553, 607, 1134, 607, 519, 1158, 781, 27811, 27905, 10422, 668, 1774, 18310, 607, 513, 14909, 15805, 10278, 269, 12706, 18310, 6250, 6002, 607, 519, 16999, 6216, 538, 5045, 5607, 543, 4139, 2344, 269, 4518, 1927, 609, 519, 9235, 11639, 538, 18310, 543, 13383, 585, 3152, 7104, 3804, 269, 11559, 13605, 2297, 324, 11639, 547, 14441, 741, 2533, 593, 683, 25659, 6665, 6002, 2593, 543, 4324, 676, 4742, 513, 7649, 540, 3677, 3060, 563, 300, 4157, 339, 514, 987, 16644, 636, 580, 21859, 1846, 320, 568, 513, 10723, 1747, 585, 1312, 27734, 543, 25307, 6844, 327, 1235, 693, 476, 23841, 271, 7397, 630, 1321, 267, 4968, 3952, 264, 693, 519, 7788, 777, 1248, 320, 18065, 538, 519, 22615, 28569, 540, 18310, 269, 898, 568, 513, 1390, 1383, 540, 875, 1079, 10764, 666, 2671, 519, 1482, 13411, 5544, 609, 8994, 2463, 543, 1489, 269, 5900, 1026, 2373, 269, 769, 631, 4157, 339, 514, 987, 16644, 636, 580, 21859, 1846, 320, 782, 519, 2609, 616, 6719, 267, 711, 1152, 3618, 267, 2011, 543, 13411, 1216, 267, 855, 849, 3595, 269, 29817, 728, 4054, 616, 3395, 693, 606, 8966, 15820, 269, 1280, 713, 543, 4128, 31305, 15446, 529, 689, 1312, 10764, 798, 741, 9066, 693, 631, 4157, 339, 514, 987, 269, 22087, 5733, 3711, 327, 6072, 267, 849, 1634, 607, 29831, 681, 514, 335, 28970, 563, 16920, 3555, 540, 631, 4157, 339, 514, 987, 454, 303, 611, 5733, 3711, 327, 6072, 1299, 667, 752, 17430, 281, 634, 2199, 2012, 585, 631, 4157, 339, 514, 987, 568, 932, 636, 580, 21859, 1846, 320, 630, 295, 4348, 27347, 1040, 634, 911, 323, 1308, 1416, 339, 5474, 540, 631, 4157, 339, 514, 987, 16644, 636, 580, 21859, 1846, 320, 616, 519, 25307, 14418, 932, 636, 580, 21859, 1846, 320, 18011, 300, 4157, 339, 514, 987, 10807, 562, 12584, 609, 519, 2212, 540, 519, 717, 6614, 700, 327, 13403, 667, 2426, 607, 741, 705, 15318, 269, 901, 1920, 568, 2442, 569, 1634, 607, 519, 700, 4821, 12358, 541, 1920, 267, 606, 796, 15842, 5287, 22871, 540, 25307, 14418, 715, 3539, 2742, 22917, 553, 689, 631, 4157, 339, 514, 987, 9503, 267, 799, 814, 932, 636, 580, 21859, 1846, 320, 607, 922, 3909, 10160, 585, 5553, 563, 21946, 580, 18769, 281, 634, 8830, 3570, 17691, 630, 4968, 268, 1911, 271, 5084, 264, 2446, 6428, 8183, 320, 1373, 519, 1034, 13411, 5544, 4448, 547, 519, 717, 663, 13403, 5211, 269, 6428, 8183, 320, 568, 835, 540, 634, 476, 10482, 7843, 1255, 1299, 22966, 17155, 2806, 3941, 540, 31155, 20692, 5219, 676, 519, 20474, 1728, 332, 985, 540, 519, 1325, 342, 1513, 540, 519, 476, 272, 560, 26992 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 269, 278, 4029, 276, 267, 274, 269, 278, 3953, 276, 316, 1590, 5180, 547, 476, 274, 269, 278, 3953, 952, 17031, 547, 476, 274, 6155, 4877, 1107, 602, 568, 1946, 649, 1031, 713, 8884, 269, 1924, 547, 973, 777, 1384, 268, 2422, 21767, 2394, 596, 1205, 519, 1482, 2626, 7466, 630, 1575, 547, 519, 1297, 540, 8918, 2798, 9138, 1070, 692, 268, 6875, 606, 8884, 1472, 713, 2626, 865, 602, 782, 2418, 538, 713, 8884, 5180, 547, 519, 1871, 596, 723, 1336, 676, 21767, 10484, 268, 2422, 519, 2048, 4219, 540, 1129, 685, 1505, 547, 13182, 519, 3597, 568, 538, 713, 8884, 267, 543, 16963, 268, 7053, 267, 17854, 3054, 676, 6031, 602, 952, 519, 3597, 568, 538, 713, 8884, 267, 1287, 621, 568, 3160, 547, 519, 1871, 596, 1336, 3842, 21767, 547, 519, 1297, 540, 8918, 2798, 596, 941, 4280, 780, 14188, 596, 585, 2542, 1250, 5850, 593, 10230, 2409, 269, 1109, 2005, 1131, 581, 9735, 952, 596, 12628, 803, 513, 5048, 593, 1934, 547, 1577, 803, 917, 952, 596, 1336, 621, 5363, 267, 610, 952, 1022, 851, 540, 519, 5850, 568, 15458, 269, 594, 4126, 547, 5873, 689, 596, 538, 519, 2104, 780, 273, 1296, 3516, 692, 9172, 26833, 676, 4223, 515, 342, 267, 606, 589, 5426, 13174, 20131, 609, 3733, 307, 12460, 692, 1012, 12846, 12758, 286, 5192, 835, 3562, 14633, 948, 689, 513, 13948, 26906, 1641, 11285, 692, 2971, 476, 24062, 590, 18510, 297, 17614, 9501, 4488, 24361, 3041, 4811, 692, 28462, 736, 1315, 15590, 692, 297, 8491, 681, 780, 291, 12801, 281, 4437, 32441, 7177, 630, 289, 659, 3559, 832, 264, 910, 20506, 23051, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 11061, 692, 13043, 338, 454, 290, 13511, 692, 2108, 8070, 12392, 4437, 32441, 7177, 2875, 693, 519, 2160, 540, 5899, 987, 322, 569, 1372, 269, 12815, 4928, 1995, 14325, 28462, 1789, 1315, 15590, 692, 31466, 3559, 32109, 631, 780, 291, 12801, 281, 631, 13043, 9119, 609, 9255, 618, 630, 300, 7539, 264, 910, 24872, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 7969, 266, 476, 275, 811, 692, 13043, 338, 454, 2005, 6501, 454, 10702, 9119, 454, 4467, 1584, 532, 454, 2529, 307, 7968, 563, 8160, 2969, 780, 28462, 736, 1315, 15590, 692, 289, 4157, 5652, 744, 780, 291, 12801, 281, 13174, 609, 16010, 630, 289, 659, 3559, 832, 264, 910, 1401, 2678, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 11061, 692, 13043, 338, 454, 290, 13511, 692, 2108, 17098, 267, 594, 6415, 645, 4157, 5652, 630, 29455, 1433, 268, 2465, 264, 543, 1250, 2832, 568, 547, 711, 1152, 948, 707, 1126, 14133, 538, 13174, 855, 849, 23248, 2972, 621, 1932, 10640, 28462, 1789, 1315, 15590, 692, 300, 7752, 342, 966, 780, 291, 12801, 281, 9119, 630, 289, 659, 3559, 832, 264, 910, 2782, 19213, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 8212, 266, 476, 272, 811, 692, 13043, 338, 454, 30125, 454, 10702, 9119, 692, 2108, 17098, 972, 256, 594, 6557, 4223, 515, 342, 267, 513, 476, 274, 6113, 1032, 15938, 2875, 540, 9119, 693, 2782, 19213, 2160, 269, 1280, 589, 30071, 12069, 594, 6594, 13174, 267, 4329, 13174, 267, 4329, 16952, 13174, 543, 8212, 269, 594, 849, 5249, 693, 513, 2199, 24875, 8998, 585, 476, 273, 1296, 1991, 10371, 14325, 2162, 1411, 949, 849, 899, 13718, 2971, 4033, 589, 5426, 13174, 2055, 692, 17004, 875, 1412, 273, 7562, 3287, 11924, 5913, 3287, 266, 12631, 270, 277, 6661, 271, 262, 666, 581, 6829, 607, 20734, 274, 7562, 3287, 264, 6523, 3287, 11924, 6523, 317, 273, 3287, 6661, 271, 780, 1692, 666, 594, 17589, 606, 3830, 547, 1265, 519, 2040, 540, 606, 12980, 5311, 2496, 1692, 547, 4194, 513, 13392, 3830, 2496, 18528, 5166, 5573, 586, 14352, 275, 343, 317, 274, 9984, 276, 24474, 317, 273, 692, 2171, 946, 12897, 547, 2087, 707, 3135, 1995, 269, 1635, 11173, 547, 946, 713, 3896, 267, 649, 3513, 8263, 602, 596, 2811, 15528, 609, 713, 269, 0, 343, 12414, 593, 8142, 2985, 29530, 454, 1411, 616, 3371, 281, 5851, 3436, 283, 23722, 338, 692, 258, 927, 653, 653, 653, 335, 267, 2352, 13004, 2243, 4585, 692, 272, 269, 2052, 1022, 835, 948, 803, 609, 713, 13004, 1966, 286, 7102, 948, 1131, 581, 3730, 267, 7064, 692, 3722, 284, 1626, 9492, 454, 17951, 548, 13235, 284, 3445, 5232, 454, 17951, 548, 595, 5723, 284, 476, 1789, 5232, 692, 6195, 284, 9720, 454, 7374, 284, 1321, 9492, 692, 24280, 519, 1858, 540, 6906, 645, 7374, 269, 12315, 707, 2626, 2953, 547, 476, 274, 1713, 5515, 563, 273, 269, 1131, 581, 5363, 609, 513, 4605, 540, 519, 6906, 544, 629, 6614, 454, 4692, 1022, 835, 948, 803, 609, 713, 13004, 1966, 286, 7102, 948, 1131, 581, 3730, 267, 7064, 692, 3722, 284, 1626, 9492, 454, 17951, 548, 13235, 284, 3445, 5232, 454, 17951, 548, 595, 5723, 284, 476, 1789, 5232, 692, 6195, 284, 9720, 454, 7374, 284, 1321, 9492, 692, 24280, 519, 1858, 540, 6906, 645, 7374, 269, 12315, 707, 2626, 2953, 547, 476, 274, 1713, 5515, 563, 28646, 513, 17250, 2337, 596, 547, 1174, 286, 865, 596, 630, 663, 649, 264, 666, 1294, 519, 1071, 515, 18384, 540, 602, 4070, 780, 5804, 519, 10881, 596, 723, 2016, 267, 594, 1131, 5796, 596, 547, 2253, 609, 519, 6906, 13235, 543, 547, 5173, 7460, 543, 9474, 563, 275, 269, 630, 24314, 2022, 676, 918, 718, 626, 334, 994, 28646, 513, 17250, 2337, 596, 547, 1174, 286, 865, 596, 630, 663, 649, 264, 666, 1294, 519, 1071, 515, 18384, 540, 602, 4070, 780, 5804, 519, 10881, 596, 723, 2016, 267, 594, 1131, 5796, 596, 547, 2253, 609, 519, 6906, 13235, 543, 547, 5173, 7460, 543, 9474, 563, 296, 4126, 713, 2337, 454, 16920, 3737, 16103, 692, 276, 269, 8571, 513, 17552, 1287, 946, 533, 603, 698, 537, 9317, 3069, 630, 513, 317, 273, 17070, 317, 273, 284, 322, 317, 273, 994, 277, 269, 1772, 621, 476, 3953, 26042, 16829, 689, 570, 17876, 16353, 454, 278, 269, 630, 24314, 2022, 676, 26761, 17668, 994, 3674, 621, 476, 3953, 26042, 16829, 689, 570, 17876, 16353, 454, 296, 6415, 711, 2386, 269, 1215, 1705, 596, 1205, 476, 3953, 888, 279, 269, 554, 284, 476, 1626, 306, 514, 1789, 13478, 514, 3445, 454, 327, 284, 279, 1287, 1858, 540, 6906, 645, 7374, 284, 476, 271, 269, 276, 265, 279, 265, 1321, 265, 306, 514, 263, 3393, 264, 815, 476, 3451, 269, 280, 454, 303, 4732, 20994, 4636, 9819, 267, 711, 476, 3953, 855, 476, 3451, 269, 280, 692, 16829, 689, 570, 17876, 16353, 454, 280, 269, 630, 24314, 2022, 676, 26761, 17668, 994, 327, 284, 476, 1626, 306, 514, 1789, 13478, 514, 3445, 454, 327, 284, 279, 1287, 1858, 540, 6906, 645, 7374, 284, 476, 271, 269, 276, 265, 279, 265, 1321, 265, 306, 514, 263, 3393, 264, 815, 476, 3451, 269, 280, 454, 303, 4732, 20994, 4636, 9819, 267, 711, 476, 3953, 855, 476, 3451, 269, 280, 692, 16829, 689, 570, 17876, 16353, 454, 14188, 596, 865, 1454, 267, 1775, 6415, 711, 2386, 952, 602, 781, 519, 2626, 1317, 594, 1810, 1405, 723, 519, 4267, 855, 7064, 19037, 454, 1015, 269, 594, 3893, 476, 277, 3597, 476, 4343, 454, 263, 6350, 1117, 994, 1556, 269, 630, 24314, 2022, 676, 8845, 5091, 335, 994, 296, 3893, 476, 277, 3597, 476, 4343, 454, 263, 6350, 1117, 994, 1321, 269, 25553, 284, 1626, 7562, 263, 1789, 6661, 279, 454, 6195, 284, 9720, 284, 279, 454, 3383, 6906, 14055, 568, 568, 334, 29585, 609, 2427, 13080, 476, 1321, 267, 476, 279, 543, 476, 279, 4699, 563, 8196, 533, 17233, 23768, 547, 1265, 4463, 912, 305, 2393, 263, 279, 317, 273, 268, 277, 317, 273, 6661, 305, 2393, 263, 4343, 994, 22704, 815, 3368, 3490, 2608, 4463, 815, 630, 1321, 270, 273, 12684, 10174, 263, 4343, 6661, 277, 3597, 476, 4343, 454, 14188, 596, 865, 1454, 267, 1775, 6415, 711, 2386, 952, 602, 781, 519, 2626, 1317, 594, 1810, 1405, 723, 519, 4267, 855, 7064, 19037, 692, 16829, 689, 570, 17876, 16353, 454, 1691, 269, 630, 24314, 2022, 676, 26761, 17668, 2020, 16829, 689, 570, 17876, 16353, 454, 302, 10798, 454, 1428, 269, 1809, 689, 519, 17552, 596, 723, 11643, 267, 621, 4667, 602, 589, 7374, 568, 476, 3445, 5232, 267, 952, 621, 568, 519, 645, 7374, 568, 476, 1789, 543, 4061, 2094, 7460, 284, 9720, 519, 7460, 284, 476, 279, 689, 19456, 23768, 519, 768, 543, 5609, 1789, 265, 279, 265, 1321, 265, 271, 269, 276, 815, 476, 2190, 865, 519, 1858, 568, 476, 2190, 952, 519, 5086, 568, 607, 519, 17552, 799, 568, 476, 3445, 692, 16829, 689, 570, 17876, 16353, 454, 1626, 269, 630, 24314, 2022, 676, 26761, 17668, 994, 3719, 689, 519, 17552, 596, 723, 11643, 267, 621, 4667, 602, 589, 7374, 568, 476, 3445, 5232, 267, 952, 621, 568, 519, 645, 7374, 568, 476, 1789, 543, 4061, 2094, 7460, 284, 9720, 519, 7460, 284, 476, 279, 689, 19456, 23768, 519, 768, 543, 5609, 1789, 265, 279, 265, 1321, 265, 271, 269, 276, 815, 476, 2190, 865, 519, 1858, 568, 476, 2190, 952, 519, 5086, 568, 607, 519, 17552, 799, 568, 476, 3445, 692, 16829, 689, 570, 17876, 16353, 454, 5445, 10093, 1405, 2016, 803, 519, 5086, 585, 589, 7374, 865, 621, 1281, 1413, 899, 476, 3445, 19592, 4181, 855, 594, 6415, 711, 476, 1911, 260, 2386, 454, 5445, 10093, 1405, 2016, 803, 519, 5086, 585, 589, 7374, 865, 621, 1281, 1413, 899, 476, 3445, 19592, 4181, 855, 594, 6415, 711, 476, 1911, 260, 2386, 454, 28775, 621, 568, 2439, 16829, 689, 570, 17876, 16353, 454, 4692, 1022, 835, 948, 803, 609, 713, 13004, 1966, 286, 7102, 948, 1131, 581, 3730, 267, 7064, 692, 3722, 284, 1626, 9492, 454, 17951, 548, 13235, 284, 3445, 5232, 454, 17951, 548, 595, 5723, 284, 476, 1789, 5232, 692, 6195, 284, 9720, 454, 7374, 284, 1321, 9492, 692, 24280, 519, 1858, 540, 6906, 645, 7374, 269, 12315, 707, 2626, 2953, 547, 476, 274, 1713, 5515, 780, 296, 1705, 713, 2731, 3533, 267, 1759, 593, 707, 6516, 267, 2638, 998, 547, 1118, 2386, 519, 13004, 568, 21453, 454, 16920, 3737, 16103, 692, 866, 269, 630, 24314, 2022, 676, 28099, 13199, 994, 296, 1705, 713, 2731, 3533, 267, 1759, 593, 707, 6516, 267, 2638, 998, 547, 1118, 2386, 519, 13004, 568, 21453, 454, 7312, 13004, 5654, 5386, 547, 803, 855, 594, 1869, 1810, 1405, 1018, 519, 2626, 568, 1317, 3025, 4667, 547, 581, 3478, 1114, 3283, 269, 1809, 9684, 596, 865, 1454, 585, 707, 3070, 543, 594, 786, 2022, 519, 2626, 593, 13723, 865, 596, 666, 1294, 952, 596, 941, 2953, 563, 736, 269, 630, 24314, 2022, 676, 28099, 13199, 994, 296, 1705, 713, 2731, 3533, 267, 1759, 593, 707, 6516, 267, 2638, 998, 547, 1118, 2386, 519, 13004, 568, 21453, 454, 3674, 519, 4463, 540, 519, 6906, 13235, 711, 476, 279, 607, 476, 1626, 7562, 263, 1789, 6661, 279, 7790, 799, 1131, 1267, 538, 519, 4463, 540, 519, 824, 6906, 1373, 476, 273, 10174, 278, 692, 4811, 305, 8081, 12243, 692, 2171, 723, 513, 13085, 2319, 540, 811, 982, 476, 2568, 8081, 12243, 2818, 3168, 1310, 5717, 593, 634, 9906, 18740, 267, 4543, 547, 1118, 621, 513, 1187, 267, 2922, 543, 3730, 1747, 547, 13793, 856, 780, 1607, 8468, 568, 6462, 676, 912, 24993, 281, 5239, 476, 2641, 267, 476, 1001, 276, 454, 9213, 593, 570, 17876, 692, 2162, 10598, 2510, 540, 4974, 693, 7621, 8822, 692, 1432, 616, 519, 17498, 1938, 2496, 303, 3326, 454, 8196, 995, 2200, 692, 1012, 5530, 2645, 692, 2162, 4828, 4274, 692, 9596, 547, 2328, 899, 513, 605, 609, 938, 10700, 1557, 3391, 780, 8450, 1141, 596, 666, 4019, 609, 938, 796, 328, 6474, 1907, 692, 2162, 5269, 1353, 2200, 692, 8620, 782, 519, 2200, 596, 991, 547, 1205, 519, 9344, 780, 2162, 8073, 707, 1378, 5530, 4643, 692, 16391, 1047, 782, 707, 6780, 543, 11400, 865, 596, 2760, 4413, 1776, 21120, 780, 2162, 8249, 676, 1641, 692, 5804, 15460, 547, 2247, 7851, 282, 972, 781, 3388, 596, 991, 585, 782, 540, 707, 23722, 5396, 780, 2162, 4855, 2250, 4574, 692, 1911, 338, 540, 23722, 2250, 4574, 585, 782, 707, 5396, 693, 707, 31840, 269, 0, 2162, 1548, 568, 519, 6007, 5279, 16162, 8408, 7455, 2496, 763, 7455, 540, 519, 6007, 6453, 4657, 609, 519, 12123, 942, 568, 1572, 519, 12123, 7455, 282, 519, 7455 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 292, 20846, 476, 6246, 20878, 13819, 616, 1031, 676, 606, 10380, 693, 519, 595, 9573, 547, 13686, 513, 15415, 602, 8711, 519, 20718, 540, 782, 27000, 1148, 3029, 2429, 1686, 269, 11682, 5588, 22593, 295, 2910, 7838, 307, 2464, 312, 5508, 595, 9573, 454, 10214, 1282, 519, 942, 540, 519, 11452, 6855, 267, 519, 8836, 4741, 540, 519, 13372, 630, 6717, 303, 1070, 519, 30856, 2686, 9872, 538, 519, 2197, 267, 568, 1818, 26058, 543, 8840, 12406, 269, 898, 568, 2111, 547, 4931, 1203, 519, 9993, 4547, 827, 676, 519, 31741, 267, 4466, 1007, 5867, 543, 6127, 547, 2844, 7499, 24299, 543, 2686, 960, 267, 543, 547, 22412, 622, 2686, 1344, 269, 634, 3119, 1259, 568, 998, 2228, 5867, 543, 8924, 971, 607, 1514, 2923, 267, 8301, 543, 3308, 1476, 17182, 3292, 543, 18297, 2533, 563, 13295, 267, 519, 595, 9573, 729, 2111, 547, 3180, 922, 11537, 14364, 13037, 267, 7910, 6997, 325, 652, 543, 519, 2442, 28037, 655, 531, 11535, 27000, 18763, 17912, 16635, 267, 6707, 269, 6969, 519, 1025, 32484, 1032, 7475, 267, 621, 9250, 519, 3059, 7160, 540, 519, 595, 9573, 15610, 540, 27000, 3203, 630, 292, 5183, 1070, 1776, 24182, 585, 606, 2907, 26832, 543, 21722, 960, 563, 763, 16501, 729, 1101, 3370, 538, 476, 1960, 275, 267, 519, 1101, 540, 922, 2186, 538, 519, 13372, 269, 26597, 5830, 267, 3173, 267, 5640, 267, 4966, 267, 5159, 543, 2686, 4600, 8329, 547, 519, 476, 1015, 12531, 5258, 883, 9082, 543, 1114, 4610, 540, 1148, 269, 634, 22605, 2968, 519, 1034, 3102, 543, 22265, 4199, 593, 27000, 1148, 1686, 543, 2528, 269, 769, 476, 1001, 279, 267, 606, 9450, 543, 8242, 7160, 729, 9250, 609, 476, 1321, 12531, 563, 2108, 7712, 922, 8313, 538, 476, 1960, 275, 543, 476, 1001, 279, 267, 519, 595, 9573, 15610, 540, 27000, 3203, 814, 2097, 513, 1279, 1259, 538, 4180, 602, 1344, 593, 519, 1686, 267, 7835, 543, 14759, 538, 27000, 6575, 543, 2528, 616, 5265, 6592, 538, 606, 4081, 6073, 2223, 1767, 12540, 541, 7534, 5651, 534, 6363, 5979, 790, 526, 334, 267, 11381, 17367, 540, 519, 595, 9573, 8274, 540, 11565, 4315, 563, 22154, 17170, 4644, 540, 519, 595, 9573, 15610, 540, 27000, 3203, 814, 1500, 513, 2686, 543, 7499, 24182, 711, 1175, 547, 519, 4741, 267, 855, 849, 547, 938, 4182, 779, 6561, 2223, 1352, 3773, 563, 3951, 2501, 538, 1114, 12043, 543, 666, 581, 15600, 998, 513, 3896, 267, 606, 593, 268, 3033, 7317, 10380, 543, 22356, 563, 763, 595, 9573, 15610, 540, 27000, 3203, 7913, 9990, 630, 7968, 4696, 264, 729, 9250, 593, 476, 1240, 5437, 476, 1708, 271, 267, 998, 922, 9365, 2985, 267, 1818, 936, 476, 276, 267, 1822, 13366, 267, 2854, 676, 936, 476, 4335, 20334, 267, 3015, 593, 3059, 3898, 543, 998, 513, 3896, 267, 3134, 320, 6983, 8590, 22487, 10993, 19657, 563, 29409, 534, 6363, 5979, 790, 526, 334, 1767, 621, 568, 2141, 519, 5692, 540, 595, 9573, 547, 24339, 520, 1125, 968, 1492, 3309, 267, 7499, 1702, 676, 3246, 1569, 547, 713, 1344, 547, 1169, 27208, 3034, 10527, 3059, 4528, 2501, 693, 606, 2309, 324, 942, 1317, 621, 13922, 547, 581, 540, 1390, 946, 547, 3610, 543, 1053, 945, 723, 1044, 7142, 676, 519, 6855, 547, 3180, 5049, 2228, 269, 1284, 267, 4061, 267, 20863, 7765, 20485, 543, 5640, 2066, 519, 2197, 547, 1491, 5413, 540, 713, 5458, 735, 754, 1756, 540, 1702, 267, 1317, 621, 3568, 1454, 540, 1018, 789, 2731, 1616, 547, 1382, 610, 4001, 827, 27000, 6189, 267, 3308, 6575, 267, 2575, 267, 7544, 267, 14364, 267, 4670, 267, 13739, 6575, 543, 3332, 607, 1134, 607, 519, 4529, 540, 476, 6321, 17801, 565, 3907, 2065, 2516, 540, 519, 13372, 2223, 1767, 3220, 269, 715, 4618, 528, 717, 269, 570, 542, 326, 5459, 267, 519, 22605, 779, 9375, 2987, 268, 27815, 267, 945, 5249, 609, 513, 2319, 593, 519, 1788, 585, 1079, 1296, 267, 1256, 1282, 519, 6855, 563, 2419, 5142, 7085, 5964, 267, 595, 9573, 16501, 2949, 1788, 8689, 543, 595, 9573, 13030, 7022, 543, 7499, 8689, 267, 7000, 602, 968, 5228, 519, 12614, 267, 649, 6444, 519, 2956, 543, 519, 1379, 540, 2348, 513, 3059, 7160, 540, 713, 2686, 4199, 3034, 2691, 519, 2034, 7160, 540, 519, 22605, 729, 1373, 12497, 1242, 543, 2854, 267, 646, 6700, 968, 14814, 569, 3257, 2476, 609, 513, 1820, 4528, 543, 2469, 2047, 547, 519, 3059, 3760, 3034, 2108, 6546, 11556, 729, 1558, 609, 18979, 11685, 689, 519, 15769, 543, 5830, 945, 29739, 602, 519, 1820, 4528, 729, 1898, 543, 1271, 2223, 646, 27416, 269, 968, 296, 6557, 19914, 547, 723, 1044, 8810, 4636, 1317, 519, 1820, 7160, 814, 1831, 519, 1655, 5498, 29818, 8313, 540, 519, 595, 9573, 1318, 1310, 922, 10131, 538, 476, 1001, 279, 5103, 519, 1249, 602, 621, 22179, 811, 982, 476, 1911, 6550, 269, 634, 1820, 7160, 2968, 513, 1590, 3620, 1511, 585, 12190, 2684, 3796, 543, 513, 20013, 4704, 585, 1312, 1857, 543, 4357, 8021, 3034, 307, 542, 326, 5459, 1767, 602, 21768, 4696, 968, 529, 15186, 519, 476, 1001, 278, 9102, 7160, 855, 609, 13366, 8242, 543, 1082, 811, 1007, 13366, 3773, 267, 2523, 538, 519, 2101, 1568, 543, 519, 2101, 7376, 6810, 3034, 10527, 595, 9573, 16501, 7913, 3896, 568, 519, 2228, 4528, 540, 519, 22605, 602, 666, 581, 9763, 609, 519, 991, 540, 606, 4950, 4276, 543, 20478, 269, 634, 3896, 13408, 909, 3562, 15082, 1344, 827, 1114, 1148, 3029, 267, 607, 1134, 607, 3606, 23877, 899, 7044, 563, 763, 1788, 568, 606, 2626, 547, 519, 4161, 540, 4207, 2053, 547, 1569, 1344, 1318, 2476, 1510, 519, 10148, 540, 3845, 543, 942, 2223, 6045, 7085, 5964, 563, 763, 21768, 4696, 3896, 814, 8370, 6810, 269, 634, 3296, 593, 24447, 540, 519, 13372, 3568, 519, 4487, 3594, 593, 476, 7918, 17801, 565, 3907, 2065, 2516, 267, 11231, 9904, 1227, 689, 589, 9508, 547, 962, 31703, 269, 634, 1985, 5216, 6810, 1445, 593, 519, 5216, 6575, 281, 15339, 267, 10439, 8551, 267, 17912, 267, 19933, 267, 8535, 267, 26308, 267, 16340, 4751, 8551, 267, 543, 9085, 269, 3962, 3296, 568, 2417, 5258, 883, 968, 23208, 10749, 2223, 968, 13528, 338, 543, 9537, 2223, 968, 2026, 11072, 2223, 968, 17582, 892, 543, 968, 9209, 1235, 543, 20871, 3034, 10527, 3059, 7160, 3927, 3376, 839, 519, 3914, 540, 519, 22605, 538, 922, 9115, 267, 607, 621, 568, 1631, 1500, 3015, 998, 707, 5985, 6049, 267, 707, 18376, 543, 824, 5100, 3457, 269, 634, 3059, 7160, 568, 849, 4253, 23534, 267, 1818, 519, 1543, 16111, 4143, 269, 898, 849, 2636, 721, 547, 3986, 519, 1543, 609, 2934, 899, 4687, 267, 10081, 2275, 2787, 543, 2170, 2032, 269, 3509, 824, 10597, 616, 1373, 2919, 607, 519, 3059, 2319, 8952, 32448, 609, 519, 5767, 2994, 538, 3059, 1543, 5137, 2223, 7085, 5964, 1767, 563, 288, 8037, 4183, 540, 519, 3059, 7160, 616, 519, 7044, 269, 31035, 689, 519, 811, 982, 476, 276, 267, 1822, 6337, 689, 519, 1820, 7160, 267, 7366, 540, 3381, 32461, 689, 4249, 267, 23929, 543, 2575, 12644, 267, 782, 21433, 689, 519, 5318, 3381, 21517, 540, 519, 595, 9573, 267, 941, 11368, 269, 3509, 540, 891, 24299, 723, 1831, 27825, 267, 543, 930, 616, 4686, 25704, 602, 1082, 1004, 723, 2760, 2938, 563, 2026, 728, 689, 519, 3896, 543, 5985, 3498, 267, 21768, 4696, 786, 581, 1500, 2139, 607, 606, 593, 268, 3033, 7317, 10380, 543, 606, 22356, 4528, 8659, 538, 8755, 11479, 267, 799, 666, 581, 2016, 543, 1031, 676, 1346, 538, 2484, 22286, 2426, 2950, 563, 763, 21768, 4696, 568, 513, 24182, 538, 519, 3646, 540, 8497, 27000, 2686, 1702, 563, 763, 22356, 4528, 568, 513, 28094, 540, 519, 476, 1321, 12531, 540, 519, 22605, 538, 7300, 3898, 6740, 538, 8755, 11479, 563, 2108, 32546, 2161, 1686, 5956, 1152, 950, 2984, 616, 2854, 269, 634, 13120, 540, 1480, 5198, 568, 3710, 593, 519, 5763, 540, 1702, 543, 1995, 540, 713, 1004, 602, 568, 2854, 543, 5293, 593, 2066, 5481, 269, 769, 519, 13372, 267, 649, 1522, 723, 4503, 938, 3504, 5638, 267, 855, 3059, 16501, 3413, 3581, 721, 1631, 547, 2594, 938, 1650, 607, 513, 1004, 543, 607, 513, 4182, 2223, 18332, 3400, 14765, 267, 519, 1788, 779, 2930, 9666, 518, 267, 6678, 4310, 563, 24685, 519, 2025, 523, 2395, 267, 585, 513, 1650, 547, 581, 15422, 267, 621, 814, 547, 581, 31960, 538, 6149, 269, 769, 519, 1459, 5108, 267, 519, 6149, 3217, 519, 1106, 540, 3059, 2923, 2223, 646, 3773, 563, 7968, 4696, 568, 849, 513, 2101, 1900, 538, 1818, 519, 3638, 4199, 811, 2139, 547, 519, 1004, 267, 2523, 1282, 519, 1699, 6855, 563, 27908, 5964, 1767, 267, 968, 763, 2175, 540, 10072, 543, 2168, 26865, 4547, 827, 676, 519, 1390, 6855, 27579, 723, 1500, 713, 3059, 7160, 1256, 811, 14849, 543, 3730, 607, 938, 3610, 543, 1053, 3343, 3059, 2200, 602, 1223, 948, 873, 538, 741, 6552, 1565, 3034, 2108, 10214, 1631, 602, 649, 2661, 538, 519, 2048, 2908, 3339, 685, 1604, 4547, 827, 676, 519, 5046, 268, 866, 6855, 267, 519, 595, 9573, 5170, 547, 3068, 519, 4161, 540, 8744, 27000, 6575, 6251, 547, 519, 1004, 269, 594, 993, 8746, 602, 713, 1788, 786, 798, 865, 5103, 519, 6806, 519, 11596, 540, 519, 595, 9573, 269, 3203, 786, 1869, 3136, 547, 2339, 547, 1169, 27208, 2223, 5651, 534, 6363, 5979, 790, 526, 334, 1767, 563, 4407, 519, 1699, 3510, 814, 1500, 21768, 4696, 513, 3730, 543, 16832, 1907, 267, 621, 786, 2141, 2611, 540, 1390, 2956, 1317, 267, 607, 7085, 5964, 1767, 267, 968, 1492, 3059, 7160, 540, 519, 595, 9573, 15610, 540, 27000, 3203, 568, 711, 1175, 513, 3896, 267, 621, 568, 519, 22045, 547, 519, 27208, 9997, 543, 9345, 3034, 290, 13072, 12851, 547, 2433, 8940, 6745, 1026, 2317, 14492, 19657, 0, 5472, 2518, 900, 29521, 538, 519, 1648, 8257, 616, 14376, 547, 2671, 741, 1353, 693, 713, 2189, 2257, 1982, 267, 799, 786, 581, 4371, 538, 12670, 593, 5239, 476, 2918, 268, 2767, 267, 476, 1708, 272, 267, 543, 786, 581, 5059, 593, 519, 6249, 834, 19138, 693, 519, 28497, 540, 6052, 543, 20885, 2668, 24997, 2037, 25489, 267, 5682, 6052, 267, 543, 519, 19004, 267, 12713, 30669, 267, 12713, 24479, 267, 543, 12655, 17437, 6052, 267, 9891, 267, 6489, 267, 543, 13149, 6052, 267, 31527, 5295, 19087, 543, 2983, 18540, 6052, 267, 17904, 547, 6052, 267, 543, 12829, 25373, 7010, 267, 26187, 559, 543, 15571, 5562, 17540, 1564, 267, 8891, 15950, 7177, 543, 7849, 13937, 18401, 267, 6052, 19554, 267, 19087, 267, 543, 28298, 616, 1851, 519, 3584, 4988, 538, 6052, 476, 1708, 272, 563, 29155, 4802, 814, 513, 3309, 2039, 540, 15805, 18845, 267, 8151, 689, 3504, 547, 2413, 2053, 267, 602, 666, 1683, 5171, 609, 513, 12300, 1995, 269, 634, 1082, 2686, 15976, 4371, 1934, 4482, 8436, 689, 782, 936, 519, 1158, 563, 763, 2179, 540, 2200, 649, 8532, 814, 2484, 23568, 2360, 269, 634, 2702, 547, 10244, 2200, 267, 2523, 538, 519, 1106, 540, 8093, 10173, 899, 3282, 267, 5755, 267, 543, 2067, 3154, 267, 568, 1898, 547, 2413, 10340, 781, 3356, 269, 634, 6006, 540, 8093, 10173, 568, 13113, 269, 3776, 1648, 2115, 1131, 711, 581, 24009, 952, 649, 2196, 856, 540, 8093, 10173, 1510, 513, 19307, 1544, 269, 634, 946, 540, 8093, 10173, 568, 4061, 5667, 20980, 585, 938, 1604, 269, 26187, 559, 4492, 6165, 568, 4061, 5667, 20980, 538, 2474, 540, 938, 8171, 543, 519, 1604, 781, 3106, 269, 1280, 1383, 267, 28634, 2339, 543, 16035, 5533, 689, 5755, 30187, 1379, 2371, 2014, 7929, 2068, 543, 16349, 2669, 267, 3226, 538, 7925, 2950, 971, 607, 1453, 543, 519, 11361, 563, 9617, 476, 1015, 260, 540, 519, 1158, 781, 1648, 2115, 616, 1558, 676, 4264, 1648, 267, 799, 568, 6508, 689, 7791, 2200, 971, 607, 519, 3859, 267, 2842, 267, 1216, 267, 543, 7031, 269, 634, 1249, 602, 26729, 2943, 796, 9618, 1145, 539, 3141, 543, 2842, 2200, 5352, 476, 2004, 2053, 811, 1648, 982, 519, 4541, 3096, 538, 513, 1032, 568, 4241, 269, 1809, 267, 609, 865, 1454, 1648, 2139, 267, 1946, 568, 621, 865, 2352, 547, 6467, 547, 811, 7791, 1648, 2959, 286, 24997, 1648, 4066, 616, 4867, 711, 5688, 958, 2919, 610, 20749, 19311, 267, 538, 851, 1813, 547, 513, 3668, 540, 2883, 3854, 6131, 547, 741, 2504, 269, 1717, 267, 782, 540, 519, 18563, 602, 3425, 946, 2221, 630, 10175, 26873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16446, 26999, 9116, 729, 513, 12243, 9094, 9769, 28013, 1282, 519, 476, 736, 628, 2540, 269, 1261, 5249, 607, 519, 1870, 8689, 585, 519, 12243, 9094, 689, 476, 4350, 276, 547, 476, 4198, 279, 267, 950, 1010, 15180, 13343, 3240, 32129, 320, 17991, 1864, 543, 519, 14230, 540, 519, 12243, 3122, 5718, 267, 5103, 26999, 9116, 781, 1489, 585, 32129, 320, 781, 6596, 2329, 585, 5518, 540, 519, 12243, 9094, 563, 16446, 26999, 9116, 729, 513, 4759, 540, 519, 4139, 19656, 3125, 540, 12243, 9094, 10871, 476, 26482, 538, 24354, 267, 12309, 267, 543, 646, 729, 3238, 609, 4074, 989, 2787, 1282, 519, 476, 4350, 271, 338, 269, 769, 476, 4350, 276, 267, 646, 12038, 693, 513, 28487, 540, 2319, 9094, 267, 1210, 513, 19251, 7469, 821, 547, 3717, 547, 1804, 24921, 945, 941, 13889, 532, 1282, 519, 4279, 12870, 269, 26999, 9116, 729, 6074, 547, 1831, 519, 1007, 1870, 8689, 540, 519, 594, 6630, 1310, 519, 12243, 3122, 5718, 5795, 1864, 6852, 5491, 585, 519, 3811, 10880, 1996, 918, 2958, 518, 781, 2706, 21466, 538, 3162, 24354, 267, 2587, 1359, 13343, 3240, 32129, 320, 269, 1879, 32129, 320, 2968, 5518, 540, 519, 594, 6630, 538, 476, 4198, 279, 267, 32129, 320, 17991, 26999, 9116, 543, 782, 540, 519, 824, 2101, 5234, 2818, 540, 519, 12243, 9094, 267, 13868, 873, 609, 1007, 8188, 282, 26999, 9116, 1185, 5892, 6462, 32129, 320, 781, 594, 6630, 16232, 19915, 269, 32129, 320, 2601, 539, 602, 14874, 3025, 538, 519, 3003, 5234, 1131, 2327, 602, 18864, 1253, 27434, 1864, 267, 543, 602, 519, 14230, 1131, 581, 18507, 269, 0, 5978, 700, 636, 710, 868, 2319, 5063, 1705, 513, 1627, 26031, 609, 3220, 269, 28615, 661, 269, 14977, 1676, 267, 7905, 540, 16581, 13188, 693, 8830, 16746, 2160, 269, 3220, 269, 14977, 1676, 814, 1296, 540, 2324, 1995, 538, 1648, 9297, 602, 13315, 3282, 267, 2067, 3154, 267, 5755, 267, 3282, 32549, 267, 13947, 267, 19844, 689, 6694, 2959, 267, 543, 3859, 1648, 563, 2171, 5941, 1010, 5784, 593, 16715, 8511, 3154, 5434, 543, 519, 1909, 540, 6915, 30669, 538, 938, 1648, 2104, 269, 8409, 945, 1832, 2933, 813, 337, 2213, 540, 519, 5767, 1382, 543, 3377, 1644, 547, 6915, 30669, 1522, 2907, 581, 5432, 609, 3220, 269, 14977, 1676, 781, 960, 543, 5784, 269, 12846, 267, 649, 4956, 547, 1376, 609, 513, 1906, 2489, 2055, 602, 786, 7444, 1291, 721, 538, 519, 1292, 4901, 1641, 563, 7804, 269, 14977, 1676, 267, 607, 513, 2178, 1139, 7163, 540, 4227, 5682, 5264, 13937, 630, 21203, 294, 264, 5434, 267, 1141, 798, 596, 1294, 519, 1747, 540, 6915, 30669, 538, 2221, 781, 7791, 20218, 1158, 888, 27807, 30669, 616, 835, 1259, 267, 855, 6157, 711, 519, 1152, 610, 1256, 519, 4102, 1259, 267, 540, 4227, 938, 3327, 11640, 269, 1284, 991, 513, 3818, 17376, 784, 1935, 547, 4227, 3327, 5434, 563, 1692, 1454, 798, 6915, 30669, 2965, 948, 538, 2474, 540, 16715, 3327, 5434, 286, 910, 5278, 723, 8854, 607, 2484, 607, 19101, 602, 789, 616, 3327, 9243, 267, 855, 1018, 1131, 581, 519, 1034, 10853, 4879, 888, 763, 12998, 20214, 689, 6915, 30669, 4096, 593, 519, 3049, 18450, 630, 324, 3052, 1421, 8970, 267, 10931, 2117, 2033, 267, 1591, 592, 657, 545, 1648, 7031, 630, 332, 4593, 13183, 639, 267, 6467, 24124, 1070, 7693, 22016, 267, 3092, 4700, 543, 519, 7503, 13374, 547, 3132, 519, 6915, 325, 3241, 269, 13575, 1591, 592, 657, 545, 3049, 560, 4169, 2569, 3327, 5434, 811, 855, 693, 513, 2362, 1942, 267, 1247, 8970, 19844, 6971, 5434, 1447, 693, 513, 2539, 1942, 563, 7712, 3167, 6517, 616, 1818, 3728, 3356, 593, 519, 2344, 267, 666, 6915, 30669, 2965, 14526, 610, 616, 789, 3274, 6849, 519, 1482, 14486, 3463, 607, 2834, 3154, 888, 25821, 6472, 2221, 616, 711, 8013, 593, 513, 2344, 4493, 269, 11272, 6472, 4309, 513, 5313, 13564, 344, 540, 607, 1454, 607, 1269, 278, 267, 4335, 829, 6174, 7132, 1533, 24307, 538, 930, 2829, 269, 1358, 798, 2569, 23435, 294, 5434, 855, 693, 513, 2362, 1942, 982, 6915, 30669, 693, 1459, 563, 10214, 609, 519, 3167, 1286, 2139, 267, 6915, 30669, 666, 1869, 1265, 741, 1747, 607, 606, 1648, 2707, 538, 2011, 2951, 543, 7286, 6283, 269, 2052, 649, 2503, 811, 3549, 689, 602, 5823, 547, 1376, 1210, 6915, 30669, 4166, 888, 296, 1589, 519, 6505, 652, 2104, 585, 6915, 30669, 568, 538, 18229, 269, 2201, 519, 2666, 267, 835, 666, 946, 3167, 6472, 610, 19316, 2067, 3154, 630, 290, 7582, 1070, 855, 538, 519, 2011, 267, 6915, 30669, 616, 519, 1152, 4492, 602, 666, 2569, 5434, 563, 3674, 972, 2614, 3761, 547, 14183, 741, 7569, 888, 11045, 569, 568, 711, 519, 3390, 910, 527, 568, 1942, 269, 12713, 30669, 602, 666, 581, 20762, 2047, 609, 8093, 10173, 609, 1100, 2773, 2152, 630, 21406, 968, 17840, 2987, 892, 10173, 264, 3622, 1942, 476, 273, 268, 274, 2053, 1018, 8093, 10173, 1942, 563, 21080, 2951, 568, 513, 2759, 628, 9130, 1870, 269, 1215, 666, 649, 2503, 2011, 6050, 547, 946, 6915, 30669, 952, 972, 781, 971, 513, 3017, 538, 3902, 286, 4746, 267, 875, 666, 3549, 899, 2136, 5794, 6050, 2965, 6488, 547, 946, 873, 1318, 1631, 888, 763, 3486, 2011, 6050, 723, 585, 1896, 1296, 1044, 896, 16854, 2604, 689, 519, 9167, 547, 2569, 741, 23435, 294, 5434, 269, 634, 9167, 12219, 547, 20818, 1491, 4752, 543, 13941, 9204, 593, 3327, 5434, 269, 1809, 1631, 519, 4139, 6406, 28645, 9257, 630, 320, 6167, 3919, 602, 1568, 609, 519, 2011, 6050, 264, 814, 8815, 547, 1374, 513, 2344, 1759, 1062, 602, 1131, 1683, 15314, 585, 2011, 6050, 547, 2569, 741, 5434, 269, 769, 824, 1913, 267, 713, 1131, 581, 513, 1062, 538, 799, 782, 519, 2011, 6050, 616, 4730, 676, 519, 1482, 3652, 267, 865, 621, 568, 513, 1377, 4730, 2361, 269, 8786, 267, 4227, 5434, 786, 2333, 3790, 267, 855, 621, 849, 6971, 519, 3327, 4452, 593, 519, 5790, 609, 782, 519, 14796, 2404, 609, 602, 563, 2691, 649, 2161, 6915, 30669, 267, 621, 2356, 4016, 547, 519, 2442, 19844, 2186, 910, 6343, 827, 7250, 6915, 325, 3241, 543, 10448, 3282, 6915, 325, 3241, 607, 3681, 286, 2052, 789, 581, 1031, 676, 9635, 543, 14742, 1942, 13716, 1947, 888, 763, 6749, 2987, 6915, 30669, 6460, 3049, 560, 4169, 630, 21865, 1591, 592, 657, 545, 3049, 560, 4169, 264, 2047, 883, 6915, 3766, 553, 13238, 267, 3039, 17088, 267, 610, 7791, 15191, 4492, 1210, 513, 5687, 12950, 7503, 1184, 269, 13518, 540, 519, 1382, 543, 1646, 2221, 568, 5059, 593, 5355, 7503, 4398, 543, 16715, 7503, 1942, 1210, 891, 3157, 563, 289, 1675, 19342, 3096, 606, 7357, 1114, 543, 3833, 2241, 7503, 1184, 547, 6460, 3653, 9600, 543, 11041, 267, 29704, 3282, 267, 543, 824, 11041, 2047, 547, 7686, 19342, 563, 2005, 3217, 513, 2603, 540, 4674, 547, 30396, 3132, 6915, 30669, 269, 14348, 513, 8325, 2333, 538, 3747, 2965, 1860, 519, 2298, 540, 6915, 30669, 610, 7519, 741, 4264, 2203, 888, 5591, 267, 594, 1810, 1406, 3494, 865, 269, 12713, 325, 3241, 2371, 616, 1454, 4130, 982, 19386, 1201, 514, 7685, 267, 865, 8464, 540, 2371, 1223, 581, 3710, 538, 1114, 6753, 1472, 519, 2197, 563, 1432, 616, 6915, 30669, 7508, 547, 1831, 811, 2442, 286, 9197, 8775, 3282, 2968, 3833, 10464, 25015, 267, 865, 875, 666, 6915, 30669, 14526, 888, 27807, 30669, 3112, 14526, 609, 1269, 2412, 19020, 3282, 4849, 585, 8970, 543, 10931, 2117, 2033, 19844, 269, 1809, 649, 849, 991, 547, 2015, 519, 1871, 540, 4227, 23435, 294, 5434, 547, 938, 2486, 269, 4495, 649, 3815, 602, 538, 267, 6915, 30669, 267, 3167, 6472, 267, 543, 824, 5434, 4227, 4066, 1831, 811, 10694, 563, 9989, 713, 1611, 602, 649, 991, 513, 6915, 325, 3241, 3454, 5491, 1982, 2147, 547, 519, 3859, 835, 286, 769, 713, 5198, 547, 2539, 3327, 5434, 267, 875, 4166, 666, 649, 2503, 971, 513, 1982, 888, 20685, 12935, 729, 13564, 1242, 538, 519, 2475, 998, 476, 1001, 272, 269, 21954, 19342, 543, 1591, 592, 657, 545, 6915, 30669, 616, 1869, 13564, 1242, 2221, 269, 4107, 24192, 1131, 2303, 602, 513, 7833, 3327, 3454, 568, 519, 1034, 3608, 1259, 547, 2569, 3327, 5434, 267, 855, 267, 865, 2484, 267, 2229, 814, 711, 19500, 269, 4935, 267, 3079, 540, 606, 24539, 602, 9072, 5434, 2047, 267, 649, 723, 513, 4062, 22596, 1062, 602, 2488, 1114, 2010, 540, 15314, 585, 1082, 8925, 269, 0, 31342, 543, 670, 25830, 5941, 538, 741, 4773, 519, 1523, 540, 513, 12242, 1143, 602, 568, 2813, 1063, 1560, 543, 9997, 269, 9466, 2798, 856, 519, 4401, 545, 2460, 540, 8567, 602, 5932, 606, 9232, 7961, 2299, 21087, 2065, 2078, 892, 1063, 891, 2694, 540, 1582, 269, 3509, 3909, 5784, 267, 1294, 519, 20032, 540, 4906, 607, 513, 21042, 9713, 6041, 540, 2696, 267, 799, 1821, 531, 1132, 1010, 1480, 1560, 563, 295, 25830, 779, 1557, 729, 5393, 3532, 538, 519, 2565, 1259, 621, 23607, 875, 968, 19009, 892, 3013, 814, 27507, 3294, 540, 2470, 269, 968, 2005, 568, 513, 2528, 602, 12194, 543, 30001, 1018, 621, 6544, 1161, 607, 3552, 267, 1519, 922, 1378, 6418, 1145, 543, 2168, 640, 1848, 25392, 519, 2035, 602, 649, 723, 5941, 971, 607, 28689, 543, 519, 17847, 602, 568, 2404, 609, 621, 267, 713, 10530, 9356, 519, 2093, 649, 723, 7608, 607, 1259, 547, 3845, 938, 4703, 689, 519, 2067, 3552, 1158, 563, 9827, 538, 891, 4062, 670, 25830, 2798, 856, 519, 4250, 602, 1004, 2671, 538, 10452, 593, 519, 9997, 543, 519, 1928, 602, 666, 1267, 538, 713, 6514, 540, 13951, 269, 1809, 267, 594, 1589, 519, 12242, 1143, 602, 649, 723, 2813, 1063, 1560, 543, 9997, 607, 18604, 721, 543, 519, 2078, 609, 723, 609, 938, 4703, 269, 4340, 547, 670, 25830, 267, 968, 5445, 4941, 513, 1158, 540, 6891, 602, 729, 6306, 689, 267, 543, 1732, 982, 267, 519, 1560, 269, 1358, 4941, 547, 4473, 1657, 15629, 2115, 267, 13821, 267, 543, 782, 3029, 540, 1480, 1928, 543, 1373, 1848, 10251, 267, 621, 568, 11389, 32208, 547, 1589, 602, 3425, 666, 4473, 1657, 15629, 2115, 543, 789, 1058, 3079, 581, 17019, 538, 1931, 547, 2661, 513, 2635, 1272, 563, 7437, 1312, 540, 891, 4773, 267, 519, 4222, 540, 14344, 519, 4276, 1063, 9997, 543, 1560, 602, 729, 7550, 676, 10010, 2516, 899, 519, 7111, 4892, 543, 10437, 267, 5526, 5393, 3532, 269, 4634, 952, 3909, 2516, 1223, 3895, 4906, 15962, 519, 1560, 543, 519, 9997, 267, 621, 1223, 1711, 513, 1732, 22993, 1995, 585, 741, 13794, 267, 3079, 540, 1802, 1424, 17847, 269, 594, 1589, 602, 952, 649, 1223, 1376, 547, 11760, 1312, 2694, 540, 6000, 538, 713, 1259, 267, 621, 1223, 1711, 4606, 540, 1264, 28467, 543, 1379, 269, 0, 306, 532, 983, 543, 1773, 1116, 715, 10494, 476, 273, 454, 1103, 713, 9301, 12683, 3029, 540, 17205, 14292, 2534, 267, 1053, 27682, 5220, 6029, 519, 12683, 1106, 540, 519, 17205, 538, 24324, 269, 4841, 2328, 5216, 5220, 563, 1691, 14358, 476, 14056, 20042, 454, 5522, 1116, 8617, 14576, 1700, 257, 273, 670, 1846, 267, 476, 273, 19949, 543, 476, 272, 13928, 257, 1700, 305, 1442, 514, 262, 2296, 454, 5319, 28387, 328, 2880, 6121, 332, 12579, 543, 2206, 619, 4465, 1405, 581, 2111, 547, 3247, 26378, 741, 19462, 547, 713, 909, 18566, 2575, 3381, 10023, 12683, 17205, 269, 22996, 3605, 998, 2596, 1383, 5220, 543, 1688, 1673, 22148, 14318, 875, 4946, 606, 521, 2306, 513, 10902, 12683, 563, 272, 1295, 476, 272, 560, 910, 476, 276, 628, 2296, 5678, 8551, 18938, 281, 24623, 454, 13528, 4634, 2859, 7054, 10585, 1773, 1116, 715, 10494, 454, 16100, 538, 3178, 693, 875, 547, 1689, 12683, 17205, 602, 1439, 538, 910, 344, 883, 12683, 17205, 602, 1439, 538, 910, 625, 269, 634, 15669, 5267, 602, 10453, 2119, 547, 3313, 952, 513, 12683, 10902, 5654, 1318, 543, 1287, 2488, 1079, 3652, 547, 1246, 950, 2324, 609, 17205, 2483, 275, 25008, 476, 273, 526, 910, 476, 275, 628, 2296, 5678, 8551, 18938, 281, 23850, 0, 8967, 754, 267, 16440, 610, 5213, 622, 281, 623, 10154, 20000, 454, 10743, 8495, 1810, 908, 2724, 269, 769, 713, 2013, 1353, 3992, 267, 1053, 2992, 593, 1810, 908, 2724, 543, 948, 1305, 909, 513, 29784, 5397, 269, 589, 1592, 540, 476, 275, 2326, 568, 3769, 563, 274, 14358, 476, 273, 20042, 454, 1432, 568, 513, 5845, 20395, 626, 888, 1432, 1281, 513, 24960, 626, 798, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2042, 563, 27269, 267, 717, 26314, 666, 581, 6707, 7307, 609, 2242, 538, 4189, 6208, 543, 936, 7308, 23716, 1884, 659, 1749, 269, 1403, 891, 1810, 1406, 18113, 1852, 519, 1966, 267, 7189, 666, 21559, 6793, 6527, 269, 769, 4686, 2665, 267, 6391, 949, 581, 5227, 547, 2087, 519, 1599, 540, 519, 11896, 1063, 519, 7181, 543, 24647, 563, 1103, 2550, 609, 8886, 762, 15108, 6794, 267, 519, 15499, 6091, 4579, 811, 610, 1447, 4749, 982, 538, 1866, 269, 1306, 513, 1267, 267, 789, 949, 7985, 689, 4430, 3154, 267, 26533, 267, 14159, 1928, 267, 543, 19228, 610, 13165, 269, 634, 3123, 540, 30214, 5749, 1406, 1134, 6956, 267, 543, 972, 568, 1100, 1449, 547, 13209, 621, 269, 9615, 568, 7361, 5059, 593, 6197, 2188, 267, 1519, 454, 268, 7799, 1746, 14933, 454, 268, 23207, 8192, 6775, 454, 268, 18227, 513, 1426, 19701, 547, 3313, 1761, 12153, 454, 268, 11374, 513, 1970, 29332, 7495, 31778, 338, 2732, 454, 268, 25530, 7899, 540, 1216, 454, 268, 15775, 7850, 3207, 454, 268, 19737, 2566, 454, 1103, 930, 2665, 267, 7189, 1522, 21559, 6527, 971, 607, 561, 1314, 2510, 267, 1884, 21355, 1551, 515, 1023, 267, 11216, 267, 22763, 267, 543, 1866, 547, 948, 4383, 30214, 269, 2755, 30214, 568, 711, 1634, 547, 3356, 883, 824, 3676, 267, 621, 666, 12517, 3441, 2550, 685, 2298, 540, 1272, 269, 1280, 713, 2601, 267, 621, 779, 1271, 602, 30214, 2550, 3343, 2126, 547, 1832, 519, 2783, 896, 1852, 563, 11045, 15659, 22542, 2657, 454, 2252, 596, 2461, 7680, 22542, 11605, 267, 513, 1434, 1747, 547, 1376, 568, 676, 5466, 2790, 1072, 2591, 899, 2566, 267, 534, 3806, 267, 543, 4965, 269, 5221, 519, 8937, 543, 519, 2634, 616, 538, 3586, 2792, 630, 4385, 607, 519, 968, 326, 583, 1532, 1778, 7852, 25257, 5885, 2790, 1072, 568, 606, 1271, 851, 540, 5885, 2635, 12536, 269, 14856, 513, 2635, 2732, 267, 16706, 5781, 267, 543, 9319, 10269, 666, 849, 948, 2087, 9667, 2152, 269, 1403, 789, 6414, 267, 2705, 267, 621, 779, 1271, 547, 960, 609, 513, 11967, 3782, 3318, 547, 1265, 856, 1946, 543, 1711, 513, 1544, 585, 6051, 563, 4263, 19578, 7101, 5735, 267, 649, 1683, 513, 2647, 2039, 540, 5969, 12967, 2564, 9196, 2533, 267, 1519, 11632, 267, 18909, 267, 22542, 14806, 22000, 267, 543, 5691, 3935, 22000, 269, 1677, 1451, 811, 267, 2263, 938, 2533, 610, 938, 5399, 540, 1863, 2200, 563, 290, 548, 22093, 18669, 269, 30887, 14528, 15302, 269, 25350, 28058, 545, 3820, 269, 15618, 5130, 476, 2190, 267, 476, 1708, 272, 269, 21700, 4873, 476, 2767, 267, 476, 1708, 274, 269, 4179, 2517, 3240, 269, 2193, 22093, 743, 28649, 3820, 270, 8234, 270, 14895, 270, 3583, 275, 271, 3766, 770, 549, 14528, 1673, 1047, 1162, 563, 290, 548, 22093, 18669, 269, 717, 26314, 630, 32247, 18729, 4676, 12999, 1040, 25350, 28058, 545, 3820, 269, 15618, 5412, 476, 277, 267, 476, 1001, 280, 269, 21700, 4873, 476, 2767, 267, 476, 1708, 274, 269, 4179, 2517, 3240, 269, 2193, 22093, 743, 28649, 3820, 270, 8234, 7933, 1047, 1162, 270, 10204, 866, 268, 3455, 323, 11399, 14092, 573, 18022, 12999, 11399, 13463, 691, 14315, 27492, 1613, 563, 17357, 810, 667, 293, 269, 27999, 267, 10791, 538, 769, 11987, 14332, 601, 8376, 269, 25832, 10890, 28058, 545, 21902, 3820, 269, 15618, 5988, 476, 1691, 267, 476, 1708, 273, 269, 21700, 4873, 476, 2767, 267, 476, 1708, 274, 269, 4179, 2517, 4178, 6230, 599, 665, 4802, 7865, 953, 17882, 3820, 10774, 32528, 268, 8234, 4882, 701, 1136, 6361, 268, 8234, 15828, 604, 5598, 7146, 1673, 2884, 2987, 13611, 1532, 578, 601, 1673, 1047, 848, 563, 293, 1515, 321, 817, 918, 300, 267, 700, 990, 3430, 808, 267, 15016, 9222, 645, 267, 1696, 620, 269, 645, 573, 27399, 2634, 1700, 326, 583, 7852, 2360, 3310, 7099, 543, 23567, 538, 594, 9720, 281, 513, 9836, 2689, 543, 13849, 20400, 269, 28066, 269, 476, 1708, 273, 282, 10170, 263, 280, 2567, 10082, 274, 1700, 9965, 271, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 13647, 277, 17320, 583, 329, 333, 331, 268, 1708, 272, 268, 23283, 280, 5952, 563, 19604, 10542, 2657, 14539, 269, 8347, 513, 674, 7495, 31778, 338, 10791, 547, 28509, 7054, 761, 762, 14332, 601, 15540, 269, 2657, 13034, 541, 10542, 12975, 269, 15618, 4728, 476, 1691, 267, 476, 1708, 273, 269, 21700, 4873, 476, 2767, 267, 476, 1708, 274, 269, 4179, 2517, 4178, 269, 8234, 269, 9618, 10542, 12975, 7933, 1047, 1162, 7146, 268, 1718, 1431, 21669, 20642, 1673, 2884, 3562, 17907, 720, 268, 597, 761, 762, 1532, 578, 601, 1606, 344, 5791, 563, 9802, 334, 18669, 269, 30887, 525, 23569, 17406, 2068, 630, 294, 26314, 1040, 25832, 28058, 545, 3820, 269, 15618, 5130, 476, 275, 267, 476, 1708, 274, 267, 21700, 4873, 476, 2767, 267, 476, 1708, 274, 269, 4179, 2517, 4178, 6230, 599, 665, 4802, 545, 3820, 7933, 1047, 1162, 268, 1718, 1431, 270, 3455, 323, 270, 22131, 2402, 2275, 13415, 270, 1910, 322, 268, 10711, 277, 866, 2412, 454, 22068, 591, 715, 269, 589, 6651, 547, 23398, 30887, 14528, 15136, 2657, 1467, 2593, 269, 15618, 5130, 476, 2641, 267, 476, 1708, 273, 269, 21700, 4873, 476, 2767, 267, 476, 1708, 274, 269, 4179, 2517, 4178, 269, 8234, 1467, 2593, 270, 8234, 7933, 580, 24304, 268, 8234, 270, 10818, 531, 3766, 770, 549, 14528, 16162, 4650, 269, 0, 763, 13677, 2229, 3459, 513, 15360, 593, 13628, 547, 1671, 327, 9068, 2185, 4295, 6167, 21308, 883, 6469, 1876, 585, 519, 1101, 942, 269, 634, 9086, 568, 11331, 519, 5274, 7126, 9291, 267, 543, 11394, 547, 6451, 519, 4139, 595, 19879, 593, 9483, 267, 4317, 543, 8836, 7126, 630, 2975, 2464, 10135, 1070, 519, 4139, 13482, 593, 519, 26332, 1588, 540, 2353, 22553, 540, 30101, 26521, 630, 2975, 26314, 1070, 519, 13482, 593, 519, 26332, 1588, 540, 2353, 22553, 540, 26521, 1996, 6468, 630, 290, 3633, 288, 310, 1070, 543, 519, 13482, 593, 519, 7126, 540, 31080, 609, 24894, 630, 10135, 11520, 1916, 763, 3915, 849, 11394, 547, 2327, 1569, 547, 513, 2973, 543, 2635, 1604, 267, 11836, 519, 3395, 7678, 540, 1346, 5275, 547, 1439, 519, 2518, 2916, 6433, 538, 1312, 2342, 543, 519, 5177, 563, 763, 3915, 568, 4867, 23090, 922, 1259, 998, 519, 13677, 12057, 269, 16840, 616, 849, 6236, 2436, 547, 6451, 2417, 3486, 1480, 2924, 21308, 7282, 519, 1318, 547, 1072, 543, 7850, 4441, 540, 2713, 883, 13677, 1876, 563, 8269, 22162, 593, 519, 1847, 267, 4317, 10456, 14199, 14732, 24622, 969, 4068, 1767, 267, 968, 14549, 2924, 2507, 10964, 784, 547, 3025, 269, 3776, 16529, 18747, 786, 2149, 543, 3895, 891, 2924, 538, 1169, 2460, 540, 1272, 538, 10430, 2507, 663, 2327, 789, 4019, 8449, 2066, 2486, 3034, 4263, 1459, 267, 13677, 3540, 543, 2797, 2924, 616, 2907, 6870, 998, 519, 5177, 5274, 7126, 2920, 476, 1960, 279, 543, 519, 3864, 13482, 593, 5274, 7126, 799, 1312, 16102, 519, 5177, 779, 3486, 3656, 13800, 267, 799, 693, 1459, 2882, 10430, 1765, 684, 1652, 543, 2394, 10430, 12374, 7115, 563, 32637, 779, 18747, 21256, 689, 7840, 1500, 676, 519, 3689, 10579, 779, 27545, 6828, 593, 5274, 7126, 15557, 630, 293, 7246, 294, 264, 543, 519, 2817, 17130, 4403, 585, 5274, 7126, 15557, 269, 769, 4728, 476, 1708, 272, 267, 519, 4305, 4403, 1500, 513, 1297, 540, 7840, 547, 519, 13677, 2229, 547, 3715, 513, 1007, 1480, 2924, 5943, 269, 769, 3210, 267, 519, 13677, 2229, 1767, 621, 814, 968, 4621, 626, 1836, 1500, 2312, 922, 1489, 585, 519, 5274, 7126, 2920, 3034, 25387, 267, 519, 5177, 12057, 568, 6236, 922, 1378, 9291, 540, 7126, 267, 1305, 547, 5372, 519, 5274, 7126, 2920, 269, 634, 13677, 5274, 7126, 8189, 7150, 2063, 1032, 789, 9244, 10353, 519, 6069, 3915, 543, 922, 968, 1372, 788, 569, 1036, 4809, 892, 14074, 563, 763, 5274, 7126, 9291, 15360, 786, 2196, 585, 476, 1626, 4374, 267, 14656, 593, 5239, 476, 276, 267, 476, 1708, 274, 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 ]
[ 6194, 5690, 4122, 1031, 538, 1079, 268, 16651, 267, 4642, 1606, 636, 3756, 547, 3313, 519, 6099, 1847, 585, 513, 6345, 269, 898, 781, 1419, 4294, 538, 3756, 899, 21802, 267, 2638, 619, 267, 512, 545, 2389, 659, 3562, 324, 267, 543, 811, 269, 634, 3804, 540, 519, 6922, 1314, 5690, 568, 547, 1265, 519, 1655, 1847, 602, 12366, 3278, 513, 6345, 781, 8458, 540, 10888, 1247, 14322, 602, 519, 18545, 568, 849, 4730, 5688, 958, 547, 7413, 519, 6345, 781, 8458, 780, 3849, 3200, 1047, 593, 713, 3135, 269, 594, 9153, 596, 786, 899, 519, 3928, 2433, 2020, 1012, 9612, 532, 519, 2898, 3014, 3529, 692, 763, 5690, 13333, 676, 3695, 519, 3003, 3014, 3529, 267, 799, 4564, 782, 2009, 9696, 540, 7575, 602, 666, 2049, 538, 519, 3014, 269, 3962, 1377, 540, 519, 3529, 14687, 547, 513, 6345, 781, 2490, 267, 543, 519, 5690, 3124, 919, 1063, 21924, 543, 10893, 5716, 269, 634, 21924, 6345, 13290, 547, 11694, 741, 6060, 630, 324, 3052, 1421, 10888, 1070, 1247, 519, 10893, 6345, 13290, 547, 7413, 519, 6060, 630, 324, 3052, 1421, 9561, 6393, 1012, 5153, 676, 5153, 692, 2080, 781, 513, 1164, 7400, 7650, 540, 875, 519, 6922, 1314, 5690, 1568, 1384, 272, 269, 1234, 15479, 633, 10326, 3004, 951, 531, 281, 634, 5690, 6238, 693, 519, 3597, 540, 519, 3014, 3529, 543, 16571, 1947, 7710, 1142, 2009, 1847, 267, 10451, 1126, 9136, 585, 1142, 3656, 1847, 693, 519, 1699, 1533, 563, 273, 269, 25849, 532, 18880, 281, 1306, 519, 5690, 7710, 1142, 6843, 267, 621, 3651, 338, 513, 1871, 547, 602, 6843, 1759, 593, 519, 6364, 540, 519, 3014, 689, 602, 2990, 269, 1280, 12363, 9136, 630, 754, 540, 519, 3014, 1070, 519, 1871, 568, 5462, 1759, 593, 2436, 519, 21924, 6345, 17993, 22791, 272, 1070, 19380, 11196, 272, 1070, 610, 621, 781, 513, 2721, 630, 271, 1916, 274, 269, 7982, 335, 1886, 698, 566, 540, 18880, 281, 634, 8655, 2418, 616, 9070, 730, 1394, 909, 519, 3529, 547, 9337, 519, 2418, 540, 2385, 9136, 269, 634, 21924, 6345, 786, 3442, 519, 1847, 609, 519, 5207, 1871, 1851, 922, 1453, 267, 1247, 519, 10893, 6345, 786, 3442, 519, 1847, 609, 519, 9803, 1871, 1851, 922, 1453, 563, 275, 269, 19805, 519, 7454, 8844, 281, 4495, 519, 3003, 3529, 568, 21986, 539, 543, 2418, 616, 8655, 543, 9070, 730, 267, 519, 5690, 23297, 519, 1847, 602, 5012, 547, 519, 6843, 609, 519, 5207, 1871, 693, 519, 3597, 1377, 952, 519, 6345, 568, 519, 21924, 6345, 269, 17957, 267, 952, 519, 6345, 568, 519, 10893, 6345, 267, 519, 5690, 23297, 519, 1847, 602, 5012, 547, 519, 6843, 609, 519, 9803, 1871, 693, 519, 3597, 1377, 780, 1012, 7151, 538, 595, 692, 2080, 781, 606, 595, 6388, 540, 519, 6922, 1314, 5690, 585, 513, 1079, 268, 16651, 267, 4642, 1606, 636, 3014, 3529, 269, 769, 713, 1383, 267, 649, 3513, 8263, 602, 519, 3014, 3529, 9136, 616, 6719, 676, 513, 2497, 1572, 19219, 267, 543, 1142, 6843, 814, 513, 1871, 2404, 609, 621, 269, 1411, 666, 12189, 713, 3009, 547, 6474, 707, 1808, 3014, 543, 1239, 3889, 780, 18889, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 476, 1626, 476, 1704, 476, 1240, 476, 866, 476, 736, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 476, 2767, 476, 2764, 476, 3066, 476, 1789, 476, 4029, 476, 3953, 476, 3451, 476, 4097, 476, 3374, 476, 3607, 476, 4391, 476, 4343, 476, 4375, 476, 2412, 476, 6078, 476, 5655, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 3499, 18889, 258, 514, 2850, 1948, 514, 2850, 12262, 12856, 547, 2099, 513, 6843, 538, 519, 3014, 3529, 1785, 19219, 2715, 703, 1871, 282, 12262, 5410, 811, 4610, 4143, 547, 707, 3014, 7684, 282, 12262, 9577, 547, 1685, 519, 6922, 1314, 5690, 703, 6922, 1314, 263, 560, 1192, 19219, 6843, 267, 703, 3178, 267, 703, 568, 16655, 30093, 32156, 264, 2715, 952, 630, 323, 3704, 2652, 476, 271, 1315, 265, 5410, 824, 16069, 2175, 1934, 2608, 270, 264, 2715, 2132, 6843, 27841, 282, 12262, 21414, 519, 6843, 781, 1871, 1210, 707, 6268, 1599, 7684, 952, 630, 529, 16655, 30093, 32156, 264, 2715, 703, 3193, 24066, 815, 21850, 318, 300, 2562, 282, 12262, 2637, 4733, 1126, 9136, 543, 621, 4733, 998, 873, 585, 630, 1862, 264, 2715, 703, 859, 531, 815, 6922, 1314, 263, 18876, 11966, 267, 3178, 910, 476, 272, 267, 476, 271, 5148, 3193, 24066, 815, 859, 531, 3436, 3193, 24066, 7790, 859, 531, 2433, 3193, 24066, 282, 7684, 2132, 3193, 24066, 282, 7684, 3116, 2715, 703, 1295, 24066, 815, 21850, 318, 7246, 311, 282, 12262, 2637, 4733, 1126, 9136, 543, 621, 4733, 998, 873, 585, 630, 1862, 264, 2715, 703, 859, 531, 815, 6922, 1314, 263, 18876, 11966, 267, 3178, 910, 476, 272, 267, 476, 272, 5148, 1295, 24066, 815, 859, 531, 2999, 1295, 24066, 7790, 859, 531, 2433, 1295, 24066, 282, 7684, 2132, 1295, 24066, 282, 7684, 7684, 703, 1292, 3890, 2715, 12262, 19461, 1125, 519, 3597, 6843, 543, 824, 2556, 1239, 1785, 19219, 3597, 11966, 282, 12262, 19461, 1125, 824, 4632, 12262, 11910, 519, 6922, 1314, 1599, 547, 1265, 519, 6099, 1847, 703, 6099, 19368, 815, 6922, 1314, 20172, 11966, 267, 1315, 265, 14574, 3178, 2608, 32551, 476, 272, 5148, 1820, 325, 2891, 18893, 2711, 1871, 281, 4939, 323, 14826, 2580, 6099, 19368, 5148, 2132, 476, 271, 282, 7684, 476, 7884, 1012, 12834, 692, 4407, 519, 6922, 1314, 5690, 2488, 513, 1259, 547, 1265, 519, 6099, 1847, 538, 1079, 268, 16651, 267, 4642, 1606, 636, 3756, 267, 621, 666, 581, 1939, 14260, 7199, 269, 901, 568, 1317, 621, 7710, 519, 3003, 3014, 3529, 267, 799, 666, 1831, 791, 24411, 585, 3756, 609, 513, 1804, 1297, 540, 2009, 7575, 543, 2620, 3406, 17909, 780, 1607, 568, 1141, 5688, 3074, 899, 13672, 1532, 9508, 18309, 2097, 883, 1404, 269, 24488, 1532, 9508, 18309, 2337, 2569, 519, 1297, 540, 9136, 602, 991, 547, 581, 11117, 676, 14874, 8371, 540, 519, 3529, 602, 616, 16798, 547, 581, 1016, 268, 9953, 2711, 780, 1103, 5758, 267, 519, 6922, 1314, 5690, 568, 513, 4909, 1523, 538, 3014, 3069, 543, 5841, 4987, 267, 3246, 513, 5943, 585, 4466, 6099, 3664, 538, 8013, 3756, 1141, 5716, 1491, 7140, 543, 723, 20849, 6859, 780, 15507, 713, 3135, 281, 0, 258, 589, 666, 12061, 22902, 568, 11506, 693, 606, 5086, 540, 476, 3393, 4113, 269, 898, 11642, 513, 3440, 609, 513, 3432, 540, 476, 7742, 544, 4882, 269, 630, 2690, 519, 1739, 2055, 267, 11716, 2011, 4187, 24355, 5416, 264, 1548, 4463, 1281, 519, 3440, 3914, 888, 332, 692, 6357, 264, 1215, 1279, 568, 519, 3440, 538, 519, 2011, 888, 338, 692, 6262, 264, 1548, 568, 519, 8880, 2039, 540, 519, 666, 12061, 888, 14790, 692, 1012, 22870, 815, 476, 7742, 5609, 476, 3393, 815, 476, 10219, 21762, 476, 273, 3355, 909, 692, 340, 815, 476, 10219, 21762, 476, 273, 11014, 8880, 692, 341, 815, 476, 10219, 21762, 476, 273, 910, 476, 280, 269, 10037, 512, 454, 341, 693, 1283, 815, 476, 271, 454, 280, 269, 10037, 512, 815, 476, 10219, 21762, 476, 273, 454, 338, 9876, 585, 512, 693, 1283, 692, 327, 815, 22870, 512, 910, 476, 275, 269, 280, 512, 317, 273, 454, 338, 9876, 585, 554, 693, 1283, 692, 20135, 942, 538, 2011, 815, 476, 273, 512, 692, 323, 815, 476, 273, 579, 512, 692, 1012, 1677, 2626, 891, 2055, 267, 649, 991, 547, 946, 519, 2596, 3741, 540, 1788, 850, 5163, 780, 4131, 781, 2015, 519, 1739, 1344, 912, 268, 634, 3355, 3432, 540, 519, 3440, 568, 476, 7742, 544, 4882, 563, 268, 634, 666, 12061, 22902, 568, 11506, 693, 606, 5086, 540, 476, 3393, 4113, 780, 5416, 264, 1548, 4463, 1281, 519, 3440, 3914, 2496, 2414, 1265, 519, 5021, 4463, 6603, 676, 519, 3440, 267, 649, 991, 547, 946, 519, 4542, 585, 7299, 12761, 912, 327, 815, 630, 341, 317, 273, 2608, 5609, 317, 273, 15184, 264, 1315, 630, 273, 326, 2020, 8489, 912, 268, 554, 568, 519, 5021, 4463, 6603, 676, 519, 3440, 454, 268, 642, 568, 519, 3355, 3432, 540, 519, 3440, 630, 7742, 544, 4882, 994, 268, 16564, 568, 519, 5086, 540, 15038, 630, 3393, 4113, 994, 268, 575, 568, 519, 10231, 1813, 547, 8904, 630, 32191, 476, 280, 269, 279, 544, 4882, 317, 273, 2020, 303, 1663, 21794, 538, 519, 2418, 883, 519, 4542, 1384, 327, 815, 630, 7742, 317, 273, 2608, 5609, 317, 273, 263, 3393, 4113, 4297, 14370, 273, 2608, 476, 280, 269, 279, 2020, 8245, 680, 4328, 1384, 327, 815, 630, 27698, 876, 2608, 476, 271, 269, 276, 264, 1315, 476, 866, 269, 277, 692, 327, 9881, 486, 476, 14689, 277, 544, 692, 11997, 267, 519, 3440, 10301, 513, 4463, 540, 5111, 476, 14689, 277, 7397, 780, 6357, 264, 1215, 1279, 568, 519, 3440, 538, 519, 2011, 2496, 2414, 1265, 519, 2698, 942, 519, 3440, 568, 538, 519, 2011, 267, 649, 991, 547, 2015, 519, 942, 621, 3217, 585, 519, 3440, 547, 3914, 922, 5021, 4463, 543, 1287, 2887, 1394, 1524, 269, 4595, 519, 10131, 5086, 568, 476, 3393, 4113, 267, 519, 942, 3144, 547, 3914, 519, 5021, 4463, 568, 519, 1482, 607, 519, 942, 3144, 585, 519, 3440, 547, 2132, 547, 519, 1482, 4463, 780, 763, 4542, 547, 5173, 519, 942, 540, 8184, 568, 2016, 676, 1384, 339, 815, 630, 273, 341, 2608, 5609, 15184, 264, 1315, 575, 692, 8489, 912, 268, 512, 568, 519, 942, 540, 8184, 454, 268, 642, 568, 519, 3355, 3432, 540, 519, 3440, 630, 7742, 544, 4882, 994, 268, 16564, 568, 519, 5086, 540, 15038, 630, 3393, 4113, 994, 268, 575, 568, 519, 10231, 1813, 547, 8904, 630, 32191, 476, 280, 269, 279, 544, 4882, 317, 273, 2020, 303, 1663, 21794, 538, 519, 2418, 883, 519, 4542, 1384, 339, 815, 630, 273, 2608, 476, 7742, 2608, 5609, 263, 3393, 4113, 4297, 1315, 476, 280, 269, 279, 692, 8245, 680, 4328, 1384, 339, 815, 630, 4335, 2608, 476, 271, 269, 3583, 278, 272, 264, 1315, 476, 280, 269, 279, 692, 339, 9881, 486, 476, 3374, 269, 4200, 521, 692, 11997, 267, 519, 3440, 568, 538, 519, 2011, 585, 5111, 476, 3607, 7643, 780, 6262, 264, 1548, 568, 519, 8880, 2039, 540, 519, 666, 12061, 2496, 2414, 1265, 519, 8880, 2039, 267, 649, 991, 547, 5173, 519, 8880, 3845, 14612, 676, 519, 3440, 1354, 18644, 519, 2666, 269, 634, 8880, 2039, 568, 2016, 676, 1384, 305, 815, 630, 341, 317, 273, 2608, 5609, 273, 15184, 264, 1315, 575, 692, 8489, 912, 268, 681, 568, 519, 8880, 2039, 454, 268, 642, 568, 519, 3355, 3432, 540, 519, 3440, 630, 7742, 544, 4882, 994, 268, 16564, 568, 519, 5086, 540, 15038, 630, 3393, 4113, 994, 268, 575, 568, 519, 10231, 1813, 547, 8904, 630, 32191, 476, 280, 269, 279, 544, 4882, 317, 273, 2020, 303, 1663, 21794, 538, 519, 2418, 883, 519, 4542, 1384, 305, 815, 630, 7742, 317, 273, 2608, 5609, 263, 273, 265, 3393, 4113, 4297, 14370, 280, 269, 279, 2020, 8245, 680, 4328, 1384, 305, 815, 630, 27698, 876, 2608, 476, 272, 264, 1315, 476, 280, 269, 279, 692, 305, 9881, 486, 476, 277, 4391, 278, 544, 692, 11997, 267, 519, 8880, 2039, 540, 519, 666, 12061, 568, 5111, 476, 277, 4391, 278, 7397, 610, 476, 277, 269, 4391, 278, 12919, 269, 0, 258, 6215, 8554, 540, 23155, 543, 3131, 12993, 20514, 692, 3499, 20228, 8554, 540, 23155, 543, 3131, 12993, 20514, 454, 24876, 693, 2547, 1079, 1483, 1158, 1806, 540, 6252, 543, 13902, 3515, 563, 14240, 281, 23155, 3515, 616, 3515, 602, 2760, 12969, 543, 616, 2141, 519, 1482, 3845, 454, 777, 691, 563, 18439, 23155, 20514, 454, 272, 269, 8641, 1142, 540, 519, 1739, 4834, 593, 519, 1482, 31951, 11282, 1062, 563, 320, 269, 586, 815, 910, 261, 2765, 1321, 282, 343, 1341, 476, 272, 454, 321, 269, 586, 815, 910, 261, 2765, 1321, 282, 343, 1107, 476, 274, 454, 322, 269, 586, 815, 586, 815, 910, 261, 2765, 1321, 282, 343, 1341, 476, 276, 454, 18414, 454, 273, 269, 1548, 2078, 5526, 547, 2291, 1851, 519, 11708, 540, 519, 1614, 4834, 888, 274, 269, 1548, 2078, 6818, 1851, 519, 4834, 888, 18414, 454, 18414, 454, 275, 269, 13159, 519, 1739, 28756, 675, 630, 1729, 9959 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 11990, 2580, 834, 23417, 268, 11277, 268, 11277, 275, 2580, 834, 329, 7897, 287, 325, 820, 21166, 2593, 2580, 476, 2764, 13211, 2018, 1412, 329, 820, 9166, 9906, 2891, 297, 17064, 2580, 834, 297, 820, 2580, 834, 26825, 268, 11277, 268, 11277, 275, 2580, 834, 329, 820, 287, 325, 820, 21166, 2593, 2580, 476, 5325, 994, 1038, 7684, 454, 1038, 2132, 930, 318, 29324, 692, 825, 1219, 1449, 318, 12133, 532, 318, 684, 1664, 318, 663, 318, 706, 12393, 318, 19477, 4311, 2187, 1038, 579, 1075, 815, 1582, 11519, 24708, 318, 340, 1075, 263, 274, 994, 1038, 930, 318, 29324, 815, 1582, 11519, 329, 2033, 19553, 7897, 318, 663, 19553, 820, 4590, 1038, 1582, 20596, 12148, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 2033, 11172, 4917, 1038, 1582, 20596, 12148, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 11172, 4917, 1038, 1582, 20596, 16178, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 11172, 4917, 1038, 1582, 20596, 12148, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 820, 262, 8079, 2020, 825, 1219, 1449, 318, 935, 1555, 518, 15481, 318, 529, 8548, 664, 22633, 5091, 1005, 318, 12133, 687, 4311, 2187, 1038, 579, 1075, 815, 1582, 11519, 24708, 318, 340, 1075, 263, 274, 994, 1038, 930, 318, 29324, 815, 1582, 11519, 329, 2033, 19553, 7897, 318, 663, 19553, 820, 10797, 1038, 1582, 27863, 263, 271, 267, 579, 1075, 25915, 15405, 1038, 1582, 20596, 12148, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 2033, 11172, 4917, 1038, 1582, 27863, 263, 272, 267, 579, 1075, 25915, 15405, 1038, 1582, 20596, 12148, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 11172, 4917, 1038, 1582, 27863, 263, 273, 267, 579, 1075, 25915, 15405, 1038, 1582, 20596, 12148, 26086, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 820, 11172, 4917, 1038, 1582, 27863, 263, 274, 267, 579, 1075, 25915, 31156, 825, 1219, 1449, 6958, 4193, 318, 534, 318, 1410, 12371, 21223, 2211, 4311, 2187, 1038, 579, 1075, 815, 1582, 11519, 24708, 318, 340, 1075, 263, 274, 994, 1038, 930, 318, 29324, 815, 1582, 11519, 329, 2033, 19553, 7897, 318, 663, 19553, 820, 10797, 1038, 546, 16244, 19553, 7897, 815, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 4433, 727, 318, 29324, 9131, 329, 7897, 262, 4940, 1087, 333, 2020, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 2033, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 820, 11172, 2020, 1038, 1582, 27863, 4433, 727, 318, 29324, 9131, 329, 7897, 28710, 579, 1075, 269, 4958, 4471, 557, 5560, 16244, 19553, 7897, 11723, 825, 1219, 1449, 318, 3832, 9535, 318, 604, 318, 534, 318, 14403, 318, 1410, 1235, 4311, 2187, 1038, 579, 1075, 815, 1582, 11519, 24708, 318, 340, 1075, 263, 274, 994, 1038, 930, 318, 29324, 815, 1582, 11519, 329, 2033, 19553, 7897, 318, 663, 19553, 820, 10797, 1038, 546, 16244, 19553, 7897, 815, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 4433, 727, 318, 29324, 9131, 329, 7897, 262, 4940, 1087, 333, 2020, 1038, 1582, 20596, 16178, 26086, 1075, 20216, 1235, 5560, 16244, 19553, 7897, 4917, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 2033, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 820, 262, 7481, 1038, 1582, 20596, 12148, 26086, 1075, 20216, 1235, 5560, 16244, 19553, 7897, 11723, 825, 1219, 1449, 318, 1372, 548, 1154, 318, 534, 318, 14403, 4311, 2187, 1038, 579, 1075, 815, 1582, 11519, 24708, 318, 340, 1075, 263, 274, 994, 1038, 930, 318, 29324, 815, 1582, 11519, 329, 2033, 19553, 7897, 318, 663, 19553, 820, 10797, 1038, 546, 16244, 19553, 7897, 815, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 2891, 23417, 268, 11277, 268, 11277, 275, 15419, 1038, 1582, 20596, 16178, 26086, 1075, 19709, 8541, 5560, 16244, 19553, 7897, 11723, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 2033, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 820, 11172, 2020, 1038, 1582, 27863, 263, 274, 267, 579, 1075, 25915, 15405, 1038, 1582, 20596, 12148, 26086, 1075, 19709, 8541, 5560, 16244, 19553, 7897, 4917, 1038, 1582, 20596, 16178, 26086, 1075, 20216, 1235, 5560, 16244, 19553, 7897, 4917, 1038, 1582, 20596, 16178, 26086, 1075, 19709, 8541, 5560, 16244, 19553, 7897, 4917, 1038, 1582, 27863, 263, 273, 267, 579, 1075, 25915, 31156, 825, 1219, 1449, 4671, 571, 2091, 8548, 1385, 318, 4310, 318, 5228, 318, 719, 2515, 6831, 3326, 1987, 1807, 4311, 2187, 1038, 579, 1075, 815, 1582, 11519, 24708, 318, 340, 1075, 263, 274, 994, 1038, 930, 318, 29324, 815, 1582, 11519, 329, 2033, 19553, 7897, 318, 663, 19553, 820, 10797, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 2033, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 7897, 262, 7481, 1038, 579, 1075, 27044, 4433, 727, 318, 29324, 9131, 329, 820, 11172, 2020, 1038, 1362, 9906, 30655, 1807, 912, 2018, 1219, 6449, 8181, 9191, 1345, 2187, 3546, 1582, 269, 1087, 333, 8217, 815, 29129, 2018, 1219, 1039, 15461, 318, 1087, 333, 8217, 4311, 267, 2875, 2187, 3546, 1582, 269, 1087, 333, 8217, 6910, 263, 30700, 269, 1087, 333, 2020, 1038, 5569, 8548, 2120, 815, 9906, 30655, 1807, 10797, 1038, 579, 1075, 6745, 571, 2091, 30415, 8548, 2120, 14491, 15461, 318, 1087, 333, 8217, 994, 1038, 1582, 20596, 8266, 22949, 18692, 2018, 15044, 8443, 16341, 318, 29324, 9131, 329, 2033, 262, 4940, 1087, 333, 267, 930, 318, 29324, 9131, 329, 7897, 262, 4940, 1087, 333, 267, 930, 318, 29324, 9131, 329, 820, 262, 4940, 1087, 333, 316, 13211, 2018, 15044, 30415, 8548, 2120, 269, 1087, 333, 8217, 11723, 825, 1219, 1449, 318, 3832, 9535, 318, 604, 318, 534, 318, 14403, 318, 1410, 1235, 318, 12898, 5334, 727, 318, 1372, 2280, 687, 4311, 17107, 1038, 1948, 6282, 525, 513, 579, 1075, 6745, 762, 15481, 540, 476, 1556, 530, 270, 2789, 26134, 834, 9188, 1600, 18736, 9634, 257, 630, 327, 1662, 10569, 994, 1038, 1053, 815, 1496, 454, 2018, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 2891, 1822, 268, 876, 268, 1822, 272, 257, 13211, 2018, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 2891, 1822, 268, 876, 268, 18089, 271, 257, 13211, 2018, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 2891, 1822, 268, 4905, 268, 1822, 271, 257, 13211, 2018, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 2891, 9826, 268, 876, 268, 1822, 271, 257, 13211, 2018, 9906, 15542, 800, 269, 22056, 5091, 16244, 318, 5228, 318, 1087, 333, 2891, 1911, 268, 876, 268, 1822, 271, 5602, 1038, 476, 6540, 1038, 579, 1075, 815, 25300, 8368, 12759, 263, 29324, 11723, 1038, 585, 2875, 538, 1053, 912, 2018, 579, 1075, 27044, 263, 30700, 2020, 1038, 1582, 20596, 12148, 26086, 1075, 20216, 1235, 263, 29324, 314, 274, 28413, 1038, 1582, 20596, 12148, 26086, 1075, 19709, 8541, 263, 29324, 314, 273, 28413, 1038, 1582, 20596, 12148, 26086, 1075, 20216, 1235, 263, 29324, 314, 274, 8079, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 3890, 0, 1029, 10461, 1029, 815, 834, 292, 20891, 15718, 8663, 5016, 5814, 2712, 961, 756, 273, 7531, 5035, 9906, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2063, 12173, 267, 1101, 12173, 267, 521, 338, 333, 267, 4757, 267, 2085, 2187, 1038, 1582, 16096, 12173, 815, 2063, 12173, 454, 1038, 1582, 8807, 1009, 12173, 815, 1101, 12173, 454, 1038, 1582, 269, 1087, 333, 815, 521, 338, 333, 454, 1038, 1582, 269, 16942, 815, 4757, 454, 1038, 1582, 269, 720, 815, 2085, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 834, 346, 1087, 333, 348, 910, 630, 346, 18431, 12173, 9574, 2715, 14140, 12173, 16585, 2668, 8971, 18692, 2018, 2878, 346, 262, 18431, 12173, 9166, 1582, 16096, 12173, 267, 1412, 14140, 12173, 9166, 1582, 8807, 1009, 12173, 267, 1412, 1087, 333, 9166, 1582, 269, 1087, 333, 348, 2020, 825, 1219, 6449, 842, 9191, 1345, 2187, 1038, 2132, 703, 4311, 269, 1087, 333, 18622, 2897, 2891, 268, 2580, 834, 8442, 2020, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 1087, 333, 2652, 824, 269, 1087, 333, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 1087, 333, 11203, 824, 269, 1087, 333, 692, 825, 1219, 6449, 2741, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 1087, 333, 2999, 824, 269, 1087, 333, 692, 825, 1219, 6449, 548, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 1087, 333, 10922, 824, 269, 1087, 333, 692, 825, 1219, 6449, 25885, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 1087, 333, 3436, 824, 269, 1087, 333, 692, 825, 1219, 6449, 613, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 269, 1087, 333, 13843, 824, 269, 1087, 333, 7531, 5035, 9906, 15542, 800, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 1711, 318, 5228, 318, 12133, 32284, 23952, 21405, 23952, 2187, 1038, 8237, 815, 4737, 23952, 21858, 2891, 19515, 1038, 952, 7003, 4433, 5902, 264, 11203, 476, 276, 912, 2018, 6318, 28759, 2891, 27745, 711, 5265, 8237, 543, 1711, 2875, 689, 14307, 4737, 23952, 994, 1038, 2063, 12173, 815, 8237, 314, 271, 2639, 1038, 1101, 12173, 815, 8237, 314, 272, 2639, 1038, 521, 338, 333, 815, 8237, 314, 273, 2639, 1038, 4757, 815, 8237, 314, 274, 2639, 1038, 2085, 815, 8237, 314, 275, 2639, 1038, 2875, 815, 9906, 10857, 770, 12173, 267, 1101, 12173, 267, 521, 338, 333, 267, 4757, 267, 2085, 994, 1038, 2132, 2875, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 1711, 5091, 16244, 318, 5228, 318, 1087, 333, 263, 1087, 333, 2187, 1038, 2875, 815, 9906, 2891, 293, 6033, 2580, 834, 293, 820, 2580, 521, 338, 333, 267, 834, 325, 820, 287, 325, 6033, 2593, 2580, 476, 4200, 994, 1038, 2132, 2875, 7531, 5035, 9906, 8266, 293, 564, 7815, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 1205, 8217, 15058, 318, 6050, 4311, 267, 32197, 2187, 1038, 2132, 1582, 18667, 318, 14766, 12774, 318, 20041, 318, 6050, 318, 553, 24512, 6600, 32327, 2020, 825, 1219, 1224, 9078, 5914, 18316, 318, 20041, 318, 6050, 318, 553, 24512, 4311, 267, 1439, 4812, 2187, 1038, 1948, 570, 7495, 302, 281, 25956, 585, 946, 609, 2199, 6119, 2448, 454, 1038, 1948, 3758, 815, 1930, 263, 754, 4812, 994, 1038, 1948, 1239, 815, 8118, 18667, 14061, 516, 2897, 19629, 337, 2580, 834, 5602, 1038, 1948, 3515, 815, 1239, 21858, 19629, 333, 5602, 1038, 1948, 8118, 25379, 4590, 1038, 1948, 2132, 3515, 11468, 268, 272, 2639, 1038, 2132, 692, 825, 1219, 1224, 318, 14766, 12774, 318, 20041, 318, 6050, 318, 553, 24512, 4311, 267, 1439, 4812, 2187, 1038, 1239, 318, 14766, 815, 834, 10674, 2517, 31842, 6983, 338, 6155, 1460, 773, 12975, 11305, 338, 270, 26237, 271, 270, 1087, 333, 270, 346, 271, 348, 2668, 8971, 263, 754, 4812, 994, 1038, 8118, 815, 2712, 961, 756, 273, 269, 14766, 13449, 16597, 318, 14766, 2020, 1038, 1239, 815, 8118, 18667, 14061, 516, 2897, 19629, 337, 2580, 834, 5602, 1038, 3515, 815, 1239, 21858, 19629, 333, 5602, 1038, 8118, 25379, 4590, 1038, 2132, 3515, 11468, 268, 272, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 519, 1449, 1570, 568, 607, 5205, 476, 10778, 763, 10672, 281, 25280, 269, 3004, 325, 334, 785, 334, 2398, 9874, 3131, 330, 14505, 454, 20175, 630, 338, 2567, 476, 30697, 737, 22849, 454, 10831, 540, 5123, 281, 476, 274, 5123, 454, 3412, 6244, 766, 630, 313, 2567, 476, 275, 14999, 290, 944, 532, 3590, 281, 744, 2793, 301, 454, 27650, 6453, 281, 476, 736, 918, 309, 454, 13553, 776, 30579, 281, 476, 6110, 270, 15996, 966, 454, 290, 648, 1570, 281, 22495, 622, 631, 275, 10286, 15129, 5122, 5374, 630, 295, 272, 4211, 22611, 924, 994, 1320, 32169, 540, 22495, 622, 281, 476, 271, 269, 2767, 6515, 11098, 454, 8368, 476, 272, 269, 20959, 9208, 476, 24423, 268, 1960, 273, 267, 23191, 1699, 20159, 476, 4586, 273, 269, 273, 269, 25732, 19639, 618, 454, 9288, 5501, 906, 941, 1500, 609, 519, 14724, 1907, 538, 7893, 1699, 543, 6453, 602, 568, 18041, 699, 11281, 543, 18699, 31461, 269, 2549, 335, 699, 11281, 1031, 547, 2268, 519, 1699, 1871, 540, 519, 11275, 1436, 538, 519, 22155, 269, 2755, 519, 18699, 11281, 568, 1031, 547, 2268, 519, 1871, 540, 519, 6453, 593, 519, 22155, 269, 966, 309, 309, 293, 1031, 607, 513, 6453, 26273, 543, 849, 519, 4908, 693, 713, 942, 540, 6482, 269, 7316, 519, 3403, 6453, 568, 4448, 609, 519, 4295, 543, 12451, 4448, 547, 519, 6281, 2427, 540, 519, 22155, 538, 7612, 476, 272, 563, 273, 269, 274, 269, 18065, 13281, 454, 14818, 532, 568, 2944, 676, 7893, 519, 22155, 4295, 267, 1141, 519, 18041, 699, 11281, 568, 4448, 547, 519, 3403, 6453, 543, 4756, 4908, 630, 309, 309, 309, 293, 1040, 2201, 519, 6281, 2427, 540, 519, 22155, 543, 593, 519, 3119, 2427, 568, 4448, 547, 519, 966, 309, 309, 293, 543, 18699, 11281, 269, 17992, 518, 4152, 22485, 519, 5223, 540, 476, 272, 269, 272, 269, 12763, 906, 941, 5340, 609, 1114, 13441, 5860, 267, 799, 568, 2944, 676, 8795, 519, 3403, 6453, 1247, 519, 4908, 568, 6854, 3586, 630, 325, 12089, 1040, 12763, 906, 941, 3144, 693, 1142, 5123, 602, 568, 5123, 681, 267, 590, 267, 570, 267, 865, 602, 519, 6482, 2164, 814, 3160, 1871, 610, 7059, 593, 1142, 5123, 269, 634, 3126, 540, 7403, 5645, 856, 607, 7612, 476, 273, 563, 273, 269, 275, 269, 11814, 540, 4578, 454, 5804, 519, 6482, 2164, 5833, 281, 267, 1287, 7054, 916, 568, 607, 5205, 912, 5804, 519, 9819, 7054, 916, 815, 476, 273, 269, 7597, 272, 3607, 589, 267, 519, 2698, 23191, 1699, 23673, 630, 8025, 13312, 264, 568, 607, 5205, 912, 8201, 476, 272, 269, 5842, 11445, 7193, 476, 24798, 631, 3059, 1617, 9014, 543, 4756, 6453, 4756, 4908, 630, 309, 309, 309, 293, 264, 476, 4586, 8201, 476, 273, 269, 634, 7893, 5547, 22155, 4295, 476, 4586, 274, 269, 11778, 543, 17564, 454, 763, 7613, 540, 2800, 9582, 538, 713, 2013, 25302, 2698, 23191, 14768, 630, 8025, 291, 264, 543, 519, 11275, 1436, 1699, 630, 296, 334, 264, 540, 519, 22155, 538, 519, 6419, 13441, 5860, 602, 9775, 693, 513, 4908, 540, 476, 2004, 21636, 3254, 538, 7305, 476, 273, 563, 763, 2078, 1063, 519, 11275, 1436, 1699, 543, 2698, 23191, 1699, 23673, 630, 8025, 13312, 264, 540, 519, 6419, 13441, 5860, 693, 513, 4908, 540, 476, 2004, 21636, 568, 3254, 538, 7612, 476, 274, 543, 7612, 476, 275, 269, 2755, 519, 7455, 540, 519, 1379, 3815, 540, 519, 6419, 13441, 5860, 568, 3254, 538, 7612, 476, 276, 563, 763, 6268, 2164, 11275, 1436, 1699, 630, 296, 334, 1070, 2698, 23191, 1699, 23673, 630, 8025, 13312, 264, 543, 1379, 3815, 616, 3254, 538, 7305, 476, 273, 269, 29918, 1637, 11275, 1436, 1699, 594, 334, 593, 519, 13441, 5860, 645, 815, 476, 272, 269, 278, 570, 630, 328, 4318, 1421, 594, 334, 815, 476, 271, 269, 4817, 589, 264, 3592, 23060, 3379, 547, 476, 272, 269, 276, 570, 630, 296, 334, 815, 476, 271, 269, 277, 7176, 1040, 11531, 267, 570, 8461, 328, 4679, 950, 519, 22155, 602, 568, 9901, 609, 513, 6419, 13441, 5860, 568, 2362, 269, 2201, 519, 2783, 540, 13441, 5860, 540, 476, 272, 269, 276, 570, 543, 476, 272, 269, 278, 570, 5951, 845, 568, 711, 18980, 18042, 14768, 602, 2049, 267, 607, 5949, 538, 7612, 476, 276, 269, 2755, 519, 13441, 5860, 540, 476, 271, 269, 272, 910, 476, 272, 269, 275, 570, 3337, 540, 519, 1699, 5951, 845, 568, 18980, 18042, 610, 3501, 269, 901, 6920, 602, 519, 2095, 814, 1044, 25302, 269, 10886, 1242, 676, 519, 4295, 25294, 1699, 5951, 845, 568, 711, 18980, 18042, 610, 12150, 563, 19102, 1078, 570, 8461, 568, 1360, 1713, 950, 513, 13441, 5860, 540, 476, 272, 269, 276, 570, 5860, 1689, 268, 272, 269, 280, 570, 269, 901, 6920, 602, 519, 4295, 540, 22155, 22495, 725, 7680, 25794, 269, 7612, 476, 274, 543, 7612, 476, 275, 849, 2982, 602, 519, 4806, 540, 594, 334, 543, 570, 8461, 328, 519, 5860, 13441, 5860, 568, 3592, 519, 1482, 609, 519, 645, 6953, 7455, 540, 513, 6419, 1570, 269, 14755, 25294, 6353, 676, 519, 1871, 540, 519, 6419, 13441, 570, 8461, 693, 476, 272, 269, 276, 570, 609, 513, 1871, 476, 1839, 269, 11152, 10065, 7316, 519, 1871, 540, 570, 8461, 454, 8201, 476, 274, 269, 4354, 1407, 2698, 23191, 1699, 23673, 630, 8472, 540, 519, 6419, 13441, 5860, 563, 8201, 476, 275, 269, 5295, 3815, 7455, 540, 519, 6419, 13441, 5860, 563, 8201, 476, 276, 269, 13804, 564, 1436, 1699, 7455, 540, 519, 6419, 13441, 5860, 563, 9994, 762, 4441, 585, 5122, 14233, 5021, 568, 476, 1839, 260, 630, 296, 18501, 476, 31982, 268, 1960, 273, 1040, 1306, 5018, 538, 17817, 630, 278, 1070, 519, 1379, 3815, 568, 11201, 569, 14354, 547, 570, 8461, 328, 269, 901, 7613, 568, 3254, 538, 7305, 476, 273, 610, 7612, 476, 275, 898, 568, 2312, 602, 519, 1379, 3815, 11081, 3648, 950, 513, 4657, 6419, 13441, 5860, 540, 476, 272, 269, 276, 570, 547, 476, 272, 269, 280, 570, 269, 901, 666, 849, 581, 606, 16315, 602, 4295, 22155, 22495, 725, 723, 1044, 7680, 25794, 563, 272, 264, 5811, 540, 519, 1449, 1239, 1397, 513, 1164, 6419, 13441, 5860, 7700, 811, 547, 519, 11275, 1436, 1699, 267, 519, 7613, 540, 1164, 2800, 9582, 543, 1379, 3815, 568, 1970, 593, 519, 6419, 13441, 5860, 602, 4386, 538, 519, 3339, 5106, 540, 519, 4890, 22155, 799, 568, 476, 272, 269, 276, 23592, 610, 476, 272, 269, 278, 23592, 563, 273, 264, 634, 4806, 540, 11275, 1436, 1699, 543, 2698, 23191, 25302, 519, 6419, 13441, 5860, 568, 3592, 519, 454, 8368, 476, 273, 269, 634, 9819, 1267, 570, 8461, 328, 543, 1379, 3815, 593, 519, 13441, 5860, 602, 9775, 563, 338, 877, 607, 519, 7455, 645, 910, 670, 540, 519, 6419, 1570, 630, 3333, 1144, 538, 519, 3239, 1657, 1916, 274, 264, 570, 8461, 328, 540, 519, 22155, 269, 1879, 519, 476, 272, 269, 276, 23592, 6419, 13441, 20489, 519, 3044, 20959, 476, 31982, 268, 1960, 273, 1775, 4318, 269, 476, 1839, 260, 540, 519, 4390, 540, 519, 22155, 267, 1287, 519, 22155, 7680, 25294, 2783, 568, 6353, 676, 519, 12614, 540, 3002, 593, 519, 22155, 563, 275, 264, 901, 7613, 666, 581, 1031, 607, 606, 13525, 547, 1397, 602, 513, 476, 272, 269, 276, 23592, 22155, 4295, 1570, 814, 3366, 547, 25294, 269, 0, 2026, 513, 7936, 540, 6128, 267, 5276, 5752, 568, 519, 6389, 602, 1185, 519, 1034, 3811, 538, 11938, 8587, 1547, 4595, 922, 19862, 689, 476, 4350, 271, 547, 476, 3707, 271, 543, 519, 1646, 540, 519, 11822, 343, 1505, 540, 667, 656, 345, 580, 538, 476, 3707, 280, 567, 2073, 3173, 538, 1585, 4610, 723, 1044, 3366, 547, 25666, 543, 4194, 5276, 2042, 563, 7212, 267, 519, 11822, 343, 5690, 568, 1419, 2500, 538, 2259, 267, 519, 1249, 602, 621, 568, 711, 513, 9971, 5690, 267, 607, 3254, 676, 21890, 324, 543, 631, 842, 344, 476, 2073, 814, 1651, 1243, 3173, 547, 15974, 824, 6620, 543, 3366, 547, 519, 4332, 540, 519, 9703, 1448, 6620, 563, 1103, 476, 3192, 280, 267, 700, 269, 10609, 778, 12011, 534, 6069, 519, 1101, 9971, 5690, 585, 5276, 5752, 476, 6902, 621, 568, 1759, 593, 519, 14248, 760, 810, 573, 1505, 267, 6594, 676, 18206, 14508, 715, 655, 10098, 341, 24989, 543, 6424, 645, 269, 962, 644, 514, 267, 513, 16861, 4528, 540, 799, 2348, 1044, 5189, 676, 10878, 636, 2098, 269, 1744, 528, 269, 10251, 267, 713, 14248, 760, 810, 573, 1505, 814, 513, 4057, 4398, 563, 1103, 476, 2735, 275, 267, 715, 269, 918, 269, 918, 1301, 752, 541, 3370, 606, 9703, 1448, 5690, 799, 814, 513, 9971, 19427, 2073, 663, 713, 3361, 513, 17105, 1719, 547, 9703, 1448, 2409, 267, 607, 1134, 538, 5276, 5752, 602, 538, 22357, 5752, 8587, 4586, 294, 629, 553, 990, 543, 17340, 650, 13960, 723, 20902, 519, 11822, 343, 1505, 538, 476, 1960, 276, 825, 2073, 543, 2919, 519, 11154, 633, 6396, 630, 4456, 1070, 513, 2215, 531, 268, 706, 531, 1505, 267, 585, 5276, 5752, 609, 22112, 4632, 269, 1306, 519, 11822, 343, 1505, 267, 519, 11154, 633, 6396, 568, 513, 1489, 1505, 267, 855, 621, 666, 1376, 689, 1022, 1489, 630, 19668, 264, 543, 1022, 15164, 3070, 543, 666, 1847, 547, 519, 6099, 3070, 676, 9703, 610, 10465, 2798, 282, 713, 1505, 729, 6905, 267, 2663, 267, 547, 4194, 2489, 5276, 543, 23756, 2042, 567, 2073, 543, 849, 6099, 1852, 2042, 476, 4586, 1103, 5276, 5752, 267, 1896, 14726, 540, 519, 7537, 723, 1044, 6069, 269, 1358, 3622, 2232, 519, 1966, 540, 3355, 1436, 540, 519, 1505, 543, 519, 3903, 540, 519, 4287, 567, 4586, 1103, 713, 960, 267, 513, 1007, 14583, 540, 519, 13261, 1505, 1572, 968, 303, 643, 582, 13261, 1505, 892, 630, 303, 4456, 264, 568, 4843, 269, 9521, 519, 3312, 1505, 543, 922, 14726, 267, 649, 991, 711, 547, 12337, 519, 11201, 540, 519, 2596, 5119, 693, 1142, 21767, 476, 2073, 610, 547, 4194, 519, 5276, 1949, 609, 519, 2596, 5119, 476, 1547, 769, 1249, 267, 547, 12337, 519, 1007, 15164, 3070, 543, 519, 1007, 1489, 267, 649, 1152, 991, 12337, 519, 17883, 540, 10321, 9587, 540, 519, 5119, 540, 519, 1966, 538, 519, 1699, 4493, 269, 1280, 713, 19106, 649, 946, 519, 2241, 343, 9187, 7627, 4341, 476, 676, 10962, 513, 1007, 5119, 717, 4456, 7246, 799, 2636, 547, 7413, 519, 19106, 942, 269, 901, 1007, 14583, 540, 13261, 1505, 2636, 721, 547, 1459, 519, 6571, 540, 513, 2016, 1966, 896, 519, 3337, 540, 20422, 7515, 630, 553, 568, 2944, 609, 519, 11822, 343, 1505, 264, 607, 649, 786, 1294, 538, 1383, 269, 634, 15997, 585, 519, 11532, 540, 519, 5688, 1275, 21205, 543, 585, 519, 11532, 540, 6228, 540, 606, 6099, 1489, 602, 616, 711, 2016, 676, 18637, 553, 990, 476, 786, 581, 4843, 1934, 267, 543, 1510, 4758, 1932, 1082, 3877, 513, 5618, 6476, 1063, 938, 1505, 543, 519, 11822, 343, 1505, 786, 581, 2016, 693, 519, 1439, 540, 713, 2376, 563, 763, 1957, 568, 6896, 607, 5205, 269, 769, 8791, 476, 273, 267, 1310, 4758, 519, 3948, 540, 519, 1966, 267, 930, 1271, 8847, 616, 2016, 269, 769, 8791, 476, 274, 267, 649, 4766, 1900, 676, 1900, 519, 968, 303, 643, 582, 11154, 633, 6396, 892, 543, 538, 6252, 519, 15997, 540, 519, 7222, 5376, 916, 616, 2016, 269, 769, 8791, 476, 275, 267, 606, 1383, 786, 581, 12193, 547, 9414, 519, 623, 4456, 267, 543, 811, 3877, 786, 581, 2016, 547, 2491, 875, 1459, 519, 6571, 896, 519, 3337, 540, 20422, 7515, 269, 769, 8791, 476, 276, 267, 649, 2285, 513, 5618, 6476, 1063, 519, 623, 4456, 543, 519, 11822, 343, 6396, 676, 6061, 519, 21890, 324, 5336, 842, 344, 1966, 269, 8791, 476, 277, 267, 20147, 519, 1957, 563, 273, 269, 15048, 540, 519, 9046, 543, 26479, 454, 1103, 713, 2376, 649, 2015, 519, 2215, 531, 5276, 5752, 1966, 609, 22112, 4632, 4843, 538, 519, 1739, 3044, 1106, 912, 3602, 281, 568, 519, 4994, 1305, 540, 519, 4632, 2073, 568, 519, 4994, 1305, 540, 519, 6724, 630, 14585, 4046, 4637, 547, 519, 10148, 1070, 2322, 281, 2073, 2073, 2073, 543, 6338, 519, 10321, 912, 12530, 375, 2073, 609, 281, 2073, 4586, 12530, 375, 2073, 609, 281, 2073, 4586, 663, 519, 5119, 454, 12530, 375, 2073, 609, 281, 31377, 263, 2433, 519, 795, 628, 6241, 540, 519, 5119, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6624, 2053, 267, 596, 1590, 723, 2097, 2066, 1004, 7092, 689, 2295, 2152, 269, 1684, 596, 723, 1004, 538, 707, 2777, 7092, 689, 2295, 27621, 14591, 286, 594, 7058, 1034, 540, 721, 723, 9907, 1004, 538, 519, 2777, 945, 616, 24412, 540, 2295, 27621, 14591, 563, 3086, 267, 519, 2929, 1673, 20683, 2243, 568, 1018, 568, 713, 2295, 27621, 2787, 543, 1141, 1281, 713, 2097, 689, 286, 1677, 2626, 782, 707, 2055, 267, 723, 2295, 27621, 14591, 267, 649, 723, 2097, 909, 609, 713, 2376, 267, 7231, 609, 519, 1919, 602, 596, 1058, 917, 827, 2295, 27621, 14591, 269, 1924, 267, 1510, 2417, 8488, 267, 1577, 779, 1205, 883, 519, 3178, 540, 2295, 27621, 14591, 563, 1432, 568, 2295, 27621, 2787, 888, 2691, 596, 1205, 513, 4743, 602, 707, 26470, 568, 17040, 1996, 942, 267, 11013, 532, 5488, 982, 8912, 543, 596, 723, 14406, 2295, 2041, 1846, 267, 602, 568, 519, 4090, 596, 616, 7680, 2295, 27621, 14591, 269, 634, 27621, 14591, 3142, 971, 4049, 6547, 602, 596, 666, 1745, 873, 711, 1152, 538, 707, 9221, 267, 855, 849, 538, 519, 11563, 267, 543, 8405, 563, 29587, 27621, 14591, 616, 513, 1455, 7613, 602, 1034, 1004, 1995, 1631, 543, 1287, 269, 2913, 721, 1491, 606, 1383, 1934, 547, 1174, 519, 1888, 1732, 269, 5994, 596, 616, 2469, 909, 543, 1524, 519, 25047, 13826, 540, 707, 1753, 1510, 1022, 2736, 585, 519, 1985, 1614, 3764, 269, 1635, 519, 942, 519, 942, 568, 909, 543, 596, 723, 11074, 267, 596, 786, 5469, 602, 707, 2295, 814, 13175, 25588, 5488, 563, 3383, 267, 1022, 2186, 540, 2168, 2534, 602, 3340, 930, 3432, 5012, 547, 2295, 27621, 14591, 269, 4475, 267, 621, 666, 581, 1318, 569, 1767, 602, 2295, 27621, 14591, 616, 3339, 543, 4986, 547, 581, 14126, 827, 269, 1717, 267, 950, 596, 616, 7680, 2295, 27621, 14591, 4749, 610, 519, 2295, 568, 27621, 23550, 1454, 811, 982, 8912, 1282, 711, 27940, 3613, 1066, 6681, 2534, 267, 917, 602, 621, 2115, 2564, 3007, 269, 901, 666, 581, 513, 10835, 540, 2295, 2068, 563, 27246, 540, 2295, 27621, 14591, 454, 763, 2295, 27621, 14591, 798, 711, 2049, 782, 540, 513, 6727, 269, 1703, 1590, 581, 930, 3123, 540, 2295, 27621, 14591, 269, 9717, 2630, 616, 519, 3123, 602, 1291, 547, 27621, 2787, 538, 519, 2295, 563, 268, 3683, 5562, 11178, 454, 268, 8899, 4006, 267, 11379, 543, 5135, 2157, 454, 268, 8899, 3327, 8166, 538, 519, 1560, 454, 268, 10552, 2530, 454, 268, 5709, 725, 3144, 1282, 11522, 543, 4411, 454, 2791, 786, 581, 14281, 547, 917, 602, 972, 616, 930, 3123, 540, 27621, 2787, 602, 814, 1100, 4276, 609, 519, 2295, 269, 1358, 616, 607, 5205, 912, 268, 15232, 2178, 4664, 971, 607, 4250, 267, 4160, 267, 2566, 543, 3006, 513, 11784, 4323, 454, 268, 4438, 17441, 2242, 899, 6379, 267, 28689, 267, 3092, 563, 268, 2806, 7538, 2157, 540, 23386, 454, 268, 3117, 11167, 9422, 543, 16909, 9360, 454, 21618, 540, 2295, 27621, 2787, 454, 25444, 2833, 2295, 27621, 14591, 269, 1717, 267, 519, 2589, 540, 713, 2295, 2783, 585, 782, 616, 711, 519, 1482, 269, 1411, 949, 711, 1995, 1018, 707, 3659, 814, 4810, 543, 13030, 17930, 269, 865, 267, 8164, 596, 1995, 971, 513, 3510, 267, 1433, 707, 15360, 547, 1205, 7759, 540, 707, 2295, 27621, 14591, 269, 9717, 2630, 616, 930, 2489, 2589, 540, 2295, 27621, 14591, 912, 268, 2142, 908, 1932, 3728, 454, 268, 4469, 32211, 6385, 454, 268, 4787, 6235, 10726, 454, 21675, 585, 2295, 27621, 14591, 454, 2691, 596, 3643, 707, 4387, 3823, 2295, 27621, 14591, 267, 646, 786, 798, 519, 1739, 547, 581, 2386, 540, 519, 3390, 912, 268, 9105, 596, 547, 10929, 513, 2168, 6514, 454, 268, 8074, 1524, 707, 2564, 1686, 454, 268, 2037, 638, 790, 827, 707, 1699, 6646, 267, 6197, 543, 2732, 454, 268, 9105, 827, 519, 3877, 543, 16551, 540, 2295, 27621, 2787, 454, 2690, 513, 1732, 2542, 267, 519, 4387, 3006, 12134, 547, 2932, 930, 1973, 4255, 269, 14755, 267, 513, 1973, 1449, 543, 824, 1898, 4255, 666, 2995, 596, 827, 27621, 2787, 543, 519, 2783, 540, 519, 2295, 269, 1358, 616, 607, 5205, 912, 7437, 519, 20192, 18201, 328, 6945, 267, 519, 4387, 3800, 519, 16953, 540, 519, 2295, 269, 14755, 267, 519, 20192, 18201, 328, 6945, 849, 2488, 519, 1599, 543, 519, 2497, 540, 519, 2295, 563, 1103, 519, 4591, 614, 5464, 267, 519, 3461, 568, 1500, 547, 5957, 513, 6895, 593, 519, 9221, 585, 519, 1985, 476, 2190, 547, 476, 4366, 3108, 269, 4438, 713, 942, 267, 519, 6895, 5638, 519, 2295, 2041, 1846, 269, 9521, 606, 6850, 15258, 328, 6945, 267, 519, 4591, 614, 5464, 814, 519, 4390, 547, 5431, 11733, 3604, 538, 519, 2295, 563, 7628, 606, 2680, 10916, 267, 519, 4387, 786, 2307, 596, 547, 5957, 606, 5122, 3926, 593, 707, 9221, 269, 3973, 267, 998, 513, 31942, 602, 519, 4387, 6585, 538, 1010, 1688, 267, 519, 19827, 540, 519, 2295, 616, 6592, 269, 1924, 267, 950, 707, 2295, 4413, 525, 513, 10726, 267, 621, 786, 8850, 581, 6592, 998, 713, 5122, 3926, 563, 2691, 972, 616, 4049, 2295, 27621, 14591, 267, 621, 666, 1689, 610, 1860, 519, 2783, 540, 707, 9641, 269, 1677, 2638, 713, 267, 513, 9221, 1535, 11920, 568, 2944, 269, 769, 2013, 519, 7189, 1265, 5714, 18254, 538, 707, 9641, 267, 922, 2014, 666, 581, 20295, 547, 2295, 5821, 563, 2414, 2932, 606, 6850, 15258, 328, 6945, 267, 596, 723, 547, 2901, 581, 538, 2347, 1964, 610, 3635, 585, 513, 1247, 547, 1118, 707, 2295, 10726, 6385, 269, 1717, 267, 952, 519, 9584, 568, 2944, 1310, 16706, 267, 621, 568, 1634, 607, 513, 2566, 6850, 15258, 328, 6945, 269, 634, 2409, 540, 3478, 519, 1449, 2944, 666, 581, 1114, 269, 1809, 1312, 540, 873, 3132, 519, 1482, 2164, 269, 769, 1312, 2665, 267, 519, 4387, 5638, 519, 5122, 6786, 540, 519, 2295, 269, 1879, 972, 568, 513, 8912, 11733, 6592, 267, 519, 4387, 13290, 547, 1265, 856, 519, 3390, 563, 291, 2884, 776, 9993, 585, 2295, 27621, 14591, 454, 2691, 596, 616, 513, 4049, 3461, 540, 27621, 2787, 267, 972, 616, 930, 8192, 3652, 602, 596, 991, 547, 1246, 269, 4595, 2295, 27621, 14591, 798, 711, 1205, 23174, 267, 596, 723, 547, 2661, 609, 873, 585, 519, 1964, 540, 707, 1272, 269, 4475, 267, 621, 568, 6700, 547, 1246, 513, 7453, 2732, 602, 786, 2226, 1732, 2295, 1072, 269, 9717, 2630, 616, 930, 8192, 4388, 602, 596, 11129, 547, 1246, 563, 268, 3680, 4568, 543, 16098, 4625, 269, 12832, 13534, 267, 14933, 543, 5061, 3986, 519, 23028, 540, 519, 2295, 543, 1291, 547, 2566, 269, 901, 666, 16578, 27621, 14591, 538, 519, 2295, 563, 268, 1684, 711, 8532, 6527, 602, 616, 513, 2707, 540, 8102, 1218, 269, 13575, 267, 9422, 9360, 267, 16909, 2472, 543, 11955, 585, 11522, 543, 4411, 2270, 8102, 1218, 602, 616, 17672, 547, 707, 2295, 563, 9827, 267, 1004, 945, 616, 2550, 540, 27621, 2787, 1058, 2119, 547, 9350, 2933, 8726, 581, 519, 3510, 789, 616, 538, 269, 3843, 856, 1114, 3029, 540, 5751, 899, 9066, 543, 10649, 666, 948, 2295, 2550, 1291, 513, 4190, 1272, 563, 11997, 267, 2295, 27621, 2787, 15151, 568, 711, 3978, 269, 1809, 950, 621, 4386, 4749, 610, 1282, 2053, 950, 621, 568, 711, 9277, 547, 2049, 267, 917, 602, 596, 991, 547, 3643, 513, 2295, 11285, 4166, 269, 7427, 519, 9993, 5018, 1657, 269, 4746, 267, 2141, 3251, 538, 5905, 609, 513, 4387, 269, 0, 8967, 2056, 1082, 1296, 607, 513, 4928, 11819, 594, 4076, 2938, 519, 5383, 540, 12423, 835, 540, 519, 1655, 2979, 1357, 4609, 585, 31655, 269, 1284, 4076, 3893, 1688, 335, 17673, 476, 1556, 1357, 4609, 593, 707, 1453, 547, 1353, 12980, 3533, 4065, 2593, 17320, 1868, 270, 2452, 543, 24672, 269, 8866, 786, 14678, 1294, 519, 1697, 2626, 267, 789, 786, 1353, 689, 741, 9073, 269, 6875, 519, 942, 547, 1413, 1472, 543, 1225, 622, 930, 2706, 1565, 7221, 547, 1118, 946, 540, 609, 707, 19920, 563, 13043, 3756, 711, 9003, 1118, 4974, 2979, 3063, 5418, 553, 9092, 267, 2705, 789, 849, 723, 3833, 513, 1906, 2640, 585, 16159, 4974, 543, 2208, 269, 901, 949, 948, 3214, 547, 1689, 883, 3063, 21407, 538, 741, 2702, 547, 1451, 543, 3914, 2979, 269, 1684, 930, 2979, 2259, 1210, 891, 3211, 543, 4585, 875, 2484, 707, 19920, 723, 27058, 782, 519, 2596, 2979, 1983, 563, 5472, 891, 1863, 2228, 2979, 3381, 3756, 585, 6103, 476, 273, 1331, 849, 693, 2547, 1614, 13004, 3211, 593, 799, 3214, 666, 1246, 513, 1978, 2534, 269, 9119, 568, 606, 1271, 3214, 2069, 2593, 1641, 602, 2337, 1453, 1020, 2565, 6236, 1983, 543, 3091, 513, 5748, 585, 1010, 610, 1200, 2104, 2866, 543, 3924, 563, 7712, 922, 19000, 5610, 538, 2904, 476, 1001, 276, 267, 2372, 7702, 814, 1020, 883, 513, 13398, 1141, 3677, 6128, 11655, 1472, 519, 8608, 2307, 543, 2626, 16600, 12268, 7781, 2055, 2404, 547, 741, 4610, 540, 1719, 269, 7591, 1863, 4569, 11473, 3756, 585, 6103, 476, 273, 593, 11060, 269, 1280, 4587, 19920, 267, 519, 2055, 1522, 581, 3063, 9120, 267, 1519, 8691, 267, 6498, 267, 543, 1256, 15821, 4834, 563, 2791, 1223, 1265, 693, 519, 2547, 1614, 7792, 2979, 3211, 585, 1169, 2228, 2979, 3014, 610, 596, 1932, 666, 19584, 10477, 3211, 538, 13076, 4065, 2593, 17352, 519, 2852, 3446, 269, 634, 3381, 3756, 616, 2241, 543, 1445, 14678, 593, 513, 1880, 2979, 2702, 267, 865, 2852, 1053, 666, 1205, 519, 7747, 789, 991, 16172, 543, 3274, 563, 4322, 3211, 616, 513, 1390, 1259, 547, 12927, 2093, 543, 2333, 513, 4816, 779, 6015, 538, 6128, 269, 8779, 569, 6976, 2203, 281, 4569, 3118, 779, 6976, 4528, 1223, 849, 581, 14427, 543, 1447, 3015, 585, 930, 1053, 269, 4635, 936, 476, 276, 267, 1822, 2979, 2152, 267, 13507, 629, 666, 4217, 1053, 2689, 741, 1983, 543, 2322, 1927, 585, 11400, 6466, 21365, 519, 8912, 6437, 563, 306, 839, 1043, 31876, 769, 4569, 1160, 21745, 344, 22217, 1881, 454, 291, 514, 13239, 3756, 723, 2490, 856, 547, 581, 513, 9053, 3070, 547, 4001, 2979, 547, 3214, 269, 1924, 267, 1934, 779, 513, 17609, 540, 476, 1691, 2979, 7270, 585, 1647, 12200, 602, 4065, 2593, 3163, 12876, 5741, 666, 11104, 3585, 10802, 707, 1053, 685, 1565, 6791, 269, 8437, 593, 593, 1169, 3446, 543, 581, 3144, 547, 513, 2985, 602, 814, 513, 17609, 540, 17118, 593, 4129, 1881, 2979, 5396, 563, 22746, 4569, 5680, 4609, 585, 8479, 9094, 10800, 331, 782, 3584, 269, 1548, 779, 1390, 585, 7855, 568, 602, 519, 4087, 3032, 619, 547, 1053, 540, 1585, 6310, 10080, 543, 15421, 267, 28498, 873, 547, 5490, 7184, 883, 1585, 6310, 6927, 269, 7216, 6267, 1522, 6529, 609, 1297, 3756, 543, 10203, 3381, 3756, 267, 1247, 3063, 9120, 2852, 1053, 616, 9415, 547, 2119, 1747, 4502, 267, 8691, 3381, 3756, 543, 9511, 3756, 563, 15253, 1563, 1107, 3026, 10354, 31834, 2986, 1160, 21745, 17789, 877, 454, 15697, 3381, 3756, 18836, 6791, 602, 616, 5812, 609, 519, 642, 1513, 640, 6437, 267, 6466, 10123, 1818, 621, 798, 762, 585, 2852, 1053, 547, 1491, 12257, 538, 2933, 2429, 1565, 543, 1246, 269, 3038, 3660, 602, 519, 32065, 12788, 30684, 6875, 513, 1413, 4065, 2593, 693, 12346, 593, 519, 654, 7655, 11759, 267, 649, 1631, 723, 2966, 938, 30684, 15795, 3446, 1246, 3640, 547, 581, 2687, 547, 519, 654, 7655, 11759, 609, 513, 2070, 547, 1711, 606, 2953, 14745, 540, 519, 5396, 563, 19853, 13991, 3896, 585, 23021, 1107, 11020, 5414, 1107, 7727, 1187, 3381, 3756, 543, 8964, 607, 606, 4367, 547, 1883, 2038, 24713, 3539, 6791, 269, 1744, 710, 21743, 538, 519, 2979, 1158, 676, 1565, 4065, 2593, 547, 3442, 519, 2953, 15652, 547, 6474, 519, 6824, 269, 590, 680, 1662, 9596, 568, 513, 2898, 21411, 268, 276, 2979, 1565, 1982, 609, 851, 1136, 3756, 267, 7317, 3211, 267, 543, 811, 563, 298, 276, 24356, 2488, 1863, 3211, 2073, 15460, 543, 20522, 960, 9248, 585, 3214, 538, 9656, 547, 3446, 476, 276, 269, 3763, 4065, 2593, 4882, 7220, 12876, 883, 513, 4759, 547, 7127, 3063, 1543, 1570, 543, 18178, 22099, 269, 589, 4480, 547, 798, 602, 568, 676, 6220, 2979, 3756, 883, 707, 5049, 563, 15563, 267, 3872, 3381, 3756, 666, 581, 513, 1434, 1259, 547, 3895, 1514, 2208, 1851, 19920, 269, 1703, 616, 10123, 6726, 566, 13780, 31521, 13296, 2852, 1053, 666, 4161, 2933, 607, 1134, 4065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17610, 3364, 256, 3371, 781, 513, 8908, 540, 519, 1016, 15492, 834, 1556, 269, 274, 269, 11565, 5004, 257, 689, 938, 1837, 593, 834, 22033, 17978, 543, 7896, 257, 585, 1762, 1453, 1384, 14945, 1262, 1556, 269, 274, 11565, 5004, 281, 10435, 14886, 6732, 4373, 5331, 596, 4312, 1175, 8678, 513, 1007, 2228, 3014, 267, 1141, 596, 666, 1404, 609, 824, 3214, 689, 782, 936, 519, 1158, 269, 1411, 2811, 9599, 547, 1118, 930, 1007, 2828, 543, 1376, 4730, 1927, 269, 1809, 875, 798, 596, 917, 945, 596, 666, 3972, 286, 2991, 782, 267, 596, 666, 1405, 1294, 873, 538, 1268, 267, 543, 596, 1810, 1405, 2731, 917, 4376, 827, 873, 269, 2334, 781, 1141, 3972, 2359, 2501, 538, 780, 307, 6412, 2359, 568, 782, 827, 14045, 2436, 2576, 568, 6325, 543, 2922, 547, 2170, 609, 2228, 269, 898, 3322, 1210, 1114, 2645, 543, 2553, 547, 13182, 741, 3961, 267, 2638, 741, 10639, 267, 543, 2708, 741, 2623, 269, 769, 713, 3296, 267, 649, 3513, 2263, 930, 540, 891, 2409, 543, 1451, 875, 789, 948, 721, 1628, 2318, 3347, 538, 1344, 5121, 780, 265, 15275, 640, 7638, 2305, 17041, 692, 763, 1101, 1900, 538, 2679, 3972, 2228, 568, 1818, 2386, 602, 519, 1268, 596, 2811, 6158, 547, 568, 945, 789, 2161, 789, 616, 269, 901, 1522, 3280, 2653, 267, 855, 621, 666, 2965, 581, 3833, 16602, 269, 2991, 782, 267, 4896, 666, 1711, 513, 16995, 2272, 610, 791, 3205, 622, 2576, 3116, 2228, 269, 1677, 8396, 713, 1966, 267, 1082, 7270, 543, 5867, 946, 1585, 3029, 540, 3961, 19027, 269, 1452, 1522, 1331, 4757, 6166, 725, 267, 6049, 1297, 2357, 5874, 267, 610, 1256, 2229, 268, 1170, 4240, 9517, 11974, 269, 1635, 8506, 3755, 547, 1683, 930, 1106, 540, 6169, 540, 741, 3961, 267, 891, 4609, 666, 948, 2327, 602, 3025, 568, 945, 789, 3409, 547, 581, 780, 265, 11847, 16615, 4258, 4242, 17041, 692, 5194, 1259, 547, 15378, 2576, 781, 3972, 10290, 1465, 2228, 568, 676, 10992, 741, 10639, 269, 3807, 899, 538, 1483, 1272, 267, 1004, 781, 8088, 725, 666, 9551, 324, 873, 538, 1344, 5121, 269, 1403, 2576, 814, 513, 1686, 540, 1373, 2186, 267, 16614, 267, 543, 9237, 267, 789, 2811, 2693, 547, 581, 2938, 607, 811, 22973, 982, 2576, 609, 513, 3950, 2594, 540, 3983, 2623, 269, 3509, 7270, 543, 5867, 1450, 3755, 547, 2557, 543, 2689, 1142, 824, 267, 4758, 1866, 5813, 883, 741, 2250, 3527, 543, 4543, 547, 3715, 741, 17258, 269, 3958, 267, 930, 2533, 949, 946, 3684, 1565, 6620, 547, 5659, 3593, 1239, 543, 2697, 3270, 540, 22973, 610, 2150, 6412, 18976, 2623, 780, 265, 6826, 8326, 5811, 17041, 692, 7661, 267, 835, 540, 519, 1034, 1271, 2188, 538, 8159, 2576, 781, 3972, 10290, 1465, 2228, 568, 741, 2623, 269, 3657, 789, 7874, 543, 30251, 267, 610, 678, 8775, 543, 10728, 286, 1684, 789, 1832, 741, 14767, 267, 610, 798, 789, 4749, 1166, 820, 856, 593, 4566, 286, 9866, 6326, 2576, 781, 2623, 936, 942, 666, 2285, 596, 513, 1434, 2631, 540, 2436, 789, 2811, 2576, 596, 1616, 547, 4497, 609, 269, 2986, 1576, 267, 7421, 2623, 3884, 1405, 2141, 2653, 267, 2523, 950, 4205, 616, 2921, 1747, 998, 1257, 610, 824, 3059, 1797, 269, 2334, 781, 1946, 930, 5867, 946, 2067, 1893, 4393, 630, 301, 10861, 264, 2553, 547, 8850, 3713, 4191, 540, 17219, 267, 971, 607, 13842, 4633, 610, 30378, 267, 543, 9206, 5732, 5739, 1543, 780, 3528, 9256, 891, 1614, 4485, 1765, 1211, 640, 19027, 267, 10639, 11974, 267, 543, 2623, 2079, 1765, 933, 666, 1020, 513, 7347, 1062, 585, 5883, 3972, 2228, 269, 1656, 607, 649, 3136, 547, 7048, 811, 8185, 593, 1344, 5121, 585, 2792, 267, 5698, 267, 543, 4276, 267, 13215, 3972, 2359, 786, 1831, 5051, 1271, 269, 1924, 1577, 781, 1205, 3323, 256, 2060, 2259, 543, 9639, 267, 649, 666, 782, 1831, 4966, 693, 2679, 2178, 267, 2318, 3347, 538, 519, 3059, 2085, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 22033, 17978, 543, 7896, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 15339, 540, 519, 5769, 2580, 834, 274, 269, 13437, 4702, 540, 2780, 1949, 543, 5121, 2580, 834, 275, 269, 22732, 532, 267, 23332, 543, 20125, 2619, 6620, 2580, 834, 276, 269, 5556, 3878, 2359, 543, 20313, 532, 5121, 2580, 834, 277, 269, 25398, 3562, 24406, 518, 13033, 2580, 834, 278, 269, 29942, 543, 5985, 13033, 2580, 834, 279, 269, 6176, 3028, 4702, 543, 2359, 2580, 834, 280, 269, 9612, 9817, 543, 16252, 1949, 2580, 834, 1015, 269, 3115, 16615, 1949, 543, 1514, 13033, 4066, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 1556, 269, 8232, 543, 3972, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 1556, 269, 272, 269, 8232, 6937, 543, 16426, 2580, 834, 1556, 269, 273, 269, 8232, 10873, 543, 4441, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 1556, 269, 274, 269, 11565, 2359, 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, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 2878, 17345, 5149, 281, 18321, 15369, 25779, 17553, 4373, 8702, 547, 713, 3018, 779, 1821, 10899, 4760, 7127, 256, 4653, 649, 786, 2263, 5132, 2861, 3804, 4259, 1210, 519, 1272, 540, 15751, 18160, 267, 835, 540, 1686, 779, 1034, 13085, 3744, 267, 607, 938, 6667, 269, 1411, 1522, 4898, 875, 2576, 899, 18160, 267, 945, 4362, 14262, 3621, 6436, 267, 666, 948, 721, 1174, 5132, 2861, 3853, 269, 1809, 1175, 607, 18160, 1185, 2462, 9909, 602, 4957, 519, 1158, 540, 2257, 267, 596, 1932, 723, 6909, 1761, 547, 3035, 1390, 1919, 998, 707, 2696, 3766, 1508, 15421, 543, 5132, 2439, 4131, 779, 1376, 676, 7234, 1018, 5132, 2861, 3804, 4259, 1797, 269, 898, 3322, 2870, 2123, 6859, 1759, 593, 3972, 532, 2696, 267, 1739, 3571, 5583, 267, 543, 13461, 593, 11755, 269, 1635, 9256, 5132, 543, 8990, 267, 649, 666, 960, 2509, 8236, 938, 9909, 1247, 3395, 6251, 547, 2696, 2059, 519, 1259, 269, 1924, 1577, 779, 4685, 883, 1614, 3268, 6273, 676, 15751, 18160, 547, 1305, 2500, 5132, 2861, 3853, 2439, 1262, 3721, 476, 272, 281, 5994, 1299, 14134, 8262, 12533, 285, 968, 3412, 698, 1588, 568, 811, 1271, 982, 1702, 1848, 910, 15751, 18160, 692, 292, 14852, 2899, 1767, 602, 9345, 568, 2629, 1317, 621, 2636, 721, 547, 1589, 3564, 938, 1699, 1620, 269, 1879, 4259, 5132, 2861, 3853, 267, 2253, 676, 29681, 827, 1018, 596, 1616, 547, 9585, 269, 5213, 1406, 3970, 3054, 282, 4952, 7399, 602, 3142, 7772, 267, 3483, 267, 543, 6612, 269, 21813, 585, 7326, 543, 20559, 618, 1282, 713, 1184, 269, 5457, 267, 4986, 568, 7543, 950, 596, 2322, 707, 5132, 538, 2696, 2439, 265, 7078, 17041, 1403, 596, 2648, 2831, 543, 4126, 547, 2149, 13155, 2249, 14693, 267, 7281, 585, 3255, 547, 1451, 827, 5726, 3646, 269, 2659, 5326, 949, 3100, 2484, 2476, 1631, 267, 855, 609, 5132, 267, 9639, 267, 543, 2182, 960, 267, 621, 1223, 1831, 513, 4641, 780, 1262, 3721, 476, 273, 281, 16505, 13560, 14066, 17644, 20553, 9540, 518, 2201, 525, 12533, 285, 968, 16908, 568, 899, 14964, 513, 17919, 269, 1677, 1832, 707, 3666, 267, 596, 1590, 1832, 3001, 1848, 910, 15751, 18160, 692, 29209, 3853, 666, 1745, 11566, 269, 1717, 267, 8840, 873, 1524, 883, 4130, 4247, 2306, 3356, 19242, 543, 14785, 269, 10576, 24276, 19325, 602, 1847, 596, 4724, 707, 10700, 6662, 269, 5901, 3950, 540, 891, 9910, 30559, 1023, 543, 8661, 1142, 22920, 269, 901, 2259, 7512, 18094, 543, 11942, 14696, 780, 265, 7078, 15846, 2913, 779, 2161, 707, 5132, 2861, 3804, 568, 547, 6318, 4656, 827, 5836, 5533, 269, 19147, 707, 1544, 883, 1896, 4130, 3853, 971, 607, 15388, 3906, 5059, 593, 2973, 12084, 267, 24749, 585, 11824, 30749, 2621, 267, 543, 4687, 1344, 3842, 1514, 2923, 269, 3962, 1900, 6770, 596, 6251, 547, 16734, 707, 5075, 780, 1262, 3721, 476, 274, 281, 22737, 12694, 2060, 3131, 14651, 1299, 11565, 12533, 285, 968, 1103, 519, 1647, 540, 7411, 6013, 4316, 1848, 910, 15751, 18160, 692, 30787, 5132, 2861, 3853, 3340, 6043, 2094, 9465, 1419, 8451, 269, 5502, 540, 3478, 27209, 267, 2070, 2591, 607, 1565, 2833, 269, 2274, 534, 593, 707, 2078, 609, 2696, 585, 4222, 267, 6616, 602, 1169, 1995, 5546, 596, 883, 4742, 513, 1732, 4528, 540, 3054, 269, 19321, 513, 2318, 10182, 543, 3251, 8149, 547, 707, 3853, 1256, 950, 5185, 609, 14488, 780, 265, 7078, 15846, 12344, 596, 3068, 4187, 689, 2828, 945, 1810, 1406, 2671, 707, 15131, 585, 7863, 7320, 9249, 269, 13773, 3020, 547, 707, 31710, 543, 3343, 856, 11215, 2950, 2228, 610, 1369, 2199, 13039, 269, 28304, 11685, 1152, 18791, 707, 8207, 543, 2620, 839, 707, 4276, 609, 2696, 780, 2026, 596, 7832, 593, 707, 3460, 2509, 5132, 2861, 3804, 4259, 267, 3314, 602, 15751, 18160, 7012, 1406, 12922, 547, 11654, 16529, 18129, 5103, 3875, 7496, 269, 3414, 1010, 26772, 11428, 267, 7279, 267, 543, 3972, 538, 1010, 5759, 267, 646, 2451, 606, 30170, 1665, 593, 8103, 269, 2904, 1010, 1650, 8300, 596, 547, 798, 519, 1482, 11652, 2141, 7048, 593, 707, 5132, 2429, 519, 1184, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2704, 6975, 18160, 630, 1691, 4728, 476, 6942, 280, 1107, 476, 1240, 4989, 476, 4198, 276, 264, 729, 513, 4436, 23899, 7811, 21997, 267, 4922, 17019, 547, 581, 835, 540, 519, 6574, 21575, 540, 782, 942, 269, 18160, 568, 1634, 585, 3384, 519, 3069, 540, 25536, 267, 855, 646, 849, 1500, 1271, 7418, 547, 519, 1646, 540, 519, 3069, 540, 7061, 11707, 269, 8625, 267, 25536, 543, 7061, 11707, 616, 519, 1079, 22225, 540, 2413, 6323, 269, 1261, 4465, 519, 476, 4572, 272, 17587, 15356, 538, 8212, 585, 1010, 7778, 540, 519, 2584, 29090, 1198, 563, 268, 6423, 849, 912, 268, 1133, 4630, 1889, 646, 675, 5060, 1609, 21050, 1543, 5918, 929, 15530, 550, 13248, 21050, 694, 6204, 857, 518, 632, 561, 262, 13273, 597, 563, 268, 589, 6126, 812, 568, 1932, 13854, 609, 519, 1459, 547, 17743, 1932, 1454, 593, 519, 2104, 563, 268, 3245, 834, 300, 525, 1160, 329, 1115, 546, 262, 288, 1597, 597, 2580, 513, 3943, 1557, 2854, 693, 2085, 476, 1704, 585, 513, 1153, 981, 630, 1240, 5181, 476, 6245, 277, 1040, 634, 11814, 539, 14430, 540, 15751, 18160, 5292, 269, 476, 272, 630, 2735, 278, 264, 9022, 269, 476, 2420, 563, 268, 4201, 528, 527, 7564, 1206, 706, 1088, 568, 339, 3541, 1989, 7238, 29967, 974, 3171, 785, 3541, 654, 1695, 337, 15241, 563, 268, 32559, 24150, 547, 6392, 568, 519, 6574, 10546, 540, 5168, 563, 268, 6271, 8144, 281, 16958, 8854, 547, 835, 781, 2212, 568, 519, 575, 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, 28216, 15369, 25779, 17553, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 8061, 10899, 4750, 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, 7982, 950, 594, 729, 538, 2852, 1282, 519, 2038, 1412, 3199, 338, 267, 594, 1185, 16686, 2390, 713, 5266, 7164, 13677, 6512, 1572 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1987, 2218, 2861, 5100, 1379, 1062, 267, 3487, 594, 281, 5071, 543, 1062, 1646, 2437, 476, 1001, 274, 20959, 5295, 1299, 6052, 5980, 4937, 20051, 267, 26551, 267, 7460, 267, 4516, 267, 476, 1001, 274, 267, 6032, 269, 476, 272, 268, 272, 267, 8222, 281, 476, 1015, 269, 8099, 280, 18025, 2464, 300, 294, 269, 1001, 274, 269, 5780, 278, 25784, 274, 563, 7754, 267, 24204, 3620, 836, 1696, 620, 269, 968, 2304, 10763, 13590, 2203, 540, 968, 25938, 892, 22155, 609, 3818, 2914, 4193, 23993, 1848, 4139, 4750, 540, 15379, 5295, 1299, 6052, 7010, 476, 6344, 630, 1708, 271, 2567, 476, 11793, 30033, 563, 674, 1263, 267, 29883, 1782, 1696, 620, 269, 968, 17556, 8014, 15581, 20592, 540, 27326, 7354, 17992, 518, 585, 19618, 27952, 1379, 2095, 3070, 1848, 11272, 5295, 7010, 3194, 476, 6942, 630, 1708, 271, 2567, 476, 11793, 5392, 273, 563, 918, 269, 918, 269, 7354, 543, 631, 269, 700, 269, 7354, 267, 834, 4462, 1664, 7207, 540, 7354, 17992, 518, 281, 589, 1379, 2095, 15725, 22155, 2437, 476, 1001, 277, 20959, 5295, 543, 6052, 5980, 4937, 20051, 630, 303, 2464, 14875, 1070, 11785, 267, 10790, 267, 7330, 267, 476, 1001, 277, 267, 6032, 269, 476, 272, 268, 276, 267, 8222, 281, 476, 1015, 269, 8099, 280, 18025, 2464, 14875, 269, 1001, 277, 269, 6507, 275, 14681, 279, 563, 918, 269, 918, 269, 7354, 543, 631, 269, 700, 269, 7354, 267, 834, 21008, 2581, 540, 519, 1412, 25938, 262, 22155, 609, 519, 19618, 1379, 2095, 17120, 2437, 476, 1220, 274, 20959, 5295, 7177, 5980, 4937, 20051, 630, 296, 18501, 9697, 269, 3143, 269, 6734, 6224, 4391, 275, 11011, 1070, 17842, 267, 10396, 267, 4516, 267, 476, 1220, 274, 267, 6032, 269, 476, 27038, 278, 268, 27038, 278, 267, 8222, 281, 476, 1015, 269, 8099, 280, 18025, 2464, 269, 1220, 274, 269, 14096, 10755, 271, 563, 918, 269, 918, 269, 7354, 543, 2725, 344, 700, 532, 7354, 267, 834, 4504, 18166, 519, 1920, 540, 834, 25938, 257, 2981, 619, 281, 513, 1305, 540, 1379, 2095, 9013, 2981, 619, 2437, 20959, 5295, 7177, 5980, 14400, 20051, 23463, 9628, 267, 14889, 267, 7330, 267, 476, 1220, 273, 267, 6032, 269, 476, 4366, 277, 2019, 269, 272, 19985, 8222, 281, 476, 1015, 269, 8099, 280, 18025, 8577, 269, 1220, 273, 269, 10441, 29044, 272, 563, 918, 269, 918, 269, 7354, 543, 631, 269, 700, 269, 7354, 267, 834, 21008, 2581, 540, 10512, 4162, 1063, 513, 7354, 17992, 518, 543, 513, 5123, 5086, 26273, 2437, 476, 1001, 277, 20959, 5295, 543, 6052, 5980, 4937, 20051, 630, 303, 2464, 14875, 1070, 11785, 267, 10790, 267, 7330, 267, 476, 1001, 277, 267, 6032, 269, 476, 272, 268, 276, 267, 8222, 281, 476, 1015, 269, 8099, 280, 18025, 2464, 14875, 269, 1001, 277, 269, 6507, 275, 14681, 277, 563, 590, 269, 589, 269, 20707, 1002, 267, 589, 269, 932, 578, 323, 327, 1722, 267, 623, 269, 918, 1495, 340, 543, 717, 269, 590, 269, 918, 269, 5164, 534, 14024, 267, 834, 300, 527, 12720, 540, 6453, 2770, 551, 6672, 538, 519, 6771, 1899, 676, 1210, 590, 2894, 22155, 2437, 476, 1001, 277, 20959, 476, 272, 560, 4139, 10985, 593, 5295, 22997, 267, 10164, 550, 6513, 543, 6052, 7010, 630, 2975, 14154, 2975, 2464, 1070, 16156, 267, 476, 1001, 277, 267, 6032, 269, 476, 272, 268, 277, 267, 8222, 281, 476, 1015, 269, 8099, 280, 270, 2975, 14154, 2975, 2464, 269, 1001, 277, 269, 4281, 276, 31134, 280, 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 ]
[ 2119, 547, 1294, 1018, 594, 1611, 13718, 276, 269, 20323, 17397, 676, 536, 330, 17369, 15120, 454, 3528, 519, 1259, 267, 1022, 1599, 17598, 4399, 6234, 535, 267, 325, 17353, 18905, 348, 285, 271, 285, 325, 17353, 18905, 315, 18905, 4151, 630, 28205, 17538, 602, 4399, 6234, 513, 285, 271, 259, 11148, 547, 4399, 6234, 476, 271, 259, 29297, 582, 1227, 264, 609, 4399, 6234, 535, 7268, 13727, 21174, 13727, 259, 630, 10472, 10522, 4399, 6234, 536, 259, 11651, 2471, 547, 4399, 6234, 1422, 13727, 259, 264, 666, 581, 707, 5311, 4399, 6234, 536, 259, 563, 31800, 1695, 267, 607, 9490, 607, 621, 4667, 267, 594, 1205, 621, 269, 535, 3287, 264, 9847, 5606, 1247, 535, 21948, 343, 264, 9847, 476, 271, 269, 8729, 585, 602, 1252, 1275, 563, 287, 1042, 810, 343, 325, 534, 23283, 281, 594, 849, 2219, 540, 602, 9642, 3126, 269, 0, 1607, 3135, 568, 6462, 676, 23190, 547, 634, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 27038, 279, 5038, 10606, 562, 971, 602, 562, 8627, 910, 476, 273, 317, 278, 568, 6305, 269, 476, 273, 454, 476, 1556, 267, 476, 1724, 267, 476, 2641, 267, 476, 5325, 267, 476, 6795, 267, 476, 6507, 267, 476, 11820, 267, 476, 15782, 267, 476, 14028, 267, 476, 14321, 267, 476, 25090, 267, 476, 29876, 267, 476, 276, 1556, 267, 476, 15221, 278, 267, 476, 22145, 274, 267, 476, 23841, 278, 267, 476, 5392, 279, 280, 267, 476, 8660, 278, 278, 267, 476, 14862, 8064, 267, 476, 12553, 7597, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 272, 267, 272, 25265, 19006, 513, 263, 2641, 264, 3436, 476, 4335, 876, 269, 910, 7917, 12313, 267, 2904, 476, 1556, 476, 1001, 276, 513, 3799, 264, 568, 9642, 269, 910, 932, 2967, 654, 1695, 18961, 267, 2904, 476, 1321, 476, 1001, 276, 700, 2562, 16775, 595, 269, 918, 269, 2836, 323, 6202, 267, 634, 11788, 3794, 27443, 267, 12947, 716, 3645, 6305, 15608, 32511, 6756, 267, 21624, 17796, 540, 11525, 762, 2398, 1307, 13878, 26154, 2316, 7563, 8564, 314, 305, 1052, 314, 271, 267, 476, 4335, 876, 3910, 1948, 8627, 910, 476, 12553, 3436, 476, 271, 30974, 11788, 304, 28784, 8627, 910, 476, 12553, 316, 1299, 316, 11550, 294, 630, 303, 2752, 296, 264, 568, 3799, 6661, 7371, 12065, 641, 31870, 263, 2889, 323, 9217, 284, 271, 267, 630, 333, 268, 272, 9385, 273, 267, 562, 268, 273, 265, 328, 9984, 12553, 264, 8607, 8176, 681, 4279, 5264, 10001, 267, 2904, 476, 1556, 476, 1001, 276, 630, 23911, 264, 689, 575, 5404, 344, 273, 1104, 568, 318, 18905, 267, 544, 335, 345, 589, 27038, 279, 5038, 8217, 267, 575, 267, 554, 815, 1496, 3910, 544, 335, 345, 263, 10755, 1070, 544, 335, 345, 263, 12553, 264, 585, 1775, 538, 2039, 263, 280, 267, 476, 1015, 1262, 276, 267, 476, 273, 2567, 23099, 326, 2608, 284, 1775, 23099, 604, 568, 318, 18905, 14116, 3620, 2567, 476, 5541, 288, 27038, 279, 5038, 8217, 6910, 9217, 264, 1948, 932, 2967, 654, 1695, 18961, 267, 2904, 476, 1321, 476, 1001, 276, 630, 8110, 331, 264, 946, 562, 1492, 800, 834, 281, 718, 21968, 946, 4569, 15311, 294, 6573, 345, 282, 1016, 544, 325, 273, 2715, 1250, 7268, 259, 333, 267, 8096, 303, 6661, 263, 3333, 3424, 267, 4569, 15311, 294, 6573, 345, 15010, 2908, 263, 272, 4297, 282, 8096, 303, 2608, 284, 8096, 333, 268, 7268, 259, 318, 28843, 272, 264, 585, 476, 271, 907, 7268, 259, 333, 268, 272, 264, 9563, 272, 282, 8096, 303, 282, 7684, 585, 630, 272, 907, 1911, 1822, 264, 2715, 2161, 952, 568, 318, 22238, 318, 18905, 9852, 325, 273, 7268, 259, 318, 9984, 12553, 264, 7684, 1948, 667, 3570, 10496, 10849, 523, 267, 2904, 476, 1724, 476, 1001, 276, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 23669, 278, 5392, 267, 589, 6021, 275, 13893, 267, 589, 11277, 280, 1015, 1109, 1109, 263, 1278, 3029, 540, 562, 8627, 268, 273, 317, 330, 264, 595, 325, 269, 589, 24699, 278, 4281, 267, 589, 5881, 277, 6977, 267, 589, 5881, 277, 5908, 267, 589, 5881, 277, 6642, 267, 589, 5881, 277, 6245, 267, 589, 5881, 277, 5002, 267, 589, 5881, 277, 4350, 267, 589, 5881, 277, 3707, 267, 589, 5881, 277, 4198, 267, 589, 5881, 277, 3422, 267, 589, 5881, 277, 3192, 1109, 1109, 263, 1278, 3029, 540, 562, 8627, 266, 273, 317, 330, 264, 25627, 538, 2796, 281, 589, 9083, 3445, 278, 589, 20720, 5325, 280, 589, 5400, 280, 6507, 275, 2608, 589, 27886, 276, 4200, 589, 28638, 25838, 589, 4572, 280, 4029, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 27038, 279, 8618, 589, 27038, 279, 7830, 589, 27038, 279, 8287, 2608, 589, 27038, 279, 4792, 589, 27038, 279, 5780, 589, 27038, 279, 6858, 26395, 312, 310, 16704, 1875, 333, 267, 14551, 267, 3467, 27483, 295, 3036, 7917, 12313, 267, 2904, 476, 1556, 476, 1001, 276, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 4989, 476, 1240, 476, 1321, 281, 5655, 29269, 476, 1001, 280, 269, 1230, 13935, 476, 27088, 20385, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 258, 4569, 692, 292, 557, 14979, 18202, 1079, 476, 272, 268, 277, 18695, 476, 7761, 2053, 269, 1215, 1082, 2053, 1058, 1352, 3589, 1352, 786, 5066, 513, 2040, 540, 476, 276, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 28796, 454, 272, 269, 476, 1321, 692, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 273, 269, 1411, 666, 3589, 602, 18832, 14979, 786, 5066, 513, 2040, 540, 476, 276, 827, 476, 1321, 2053, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 5530, 3391, 476, 274, 692, 272, 269, 634, 3349, 2982, 519, 2164, 540, 18343, 513, 2185, 23469, 8095, 1676, 476, 2004, 2053, 269, 4855, 519, 8097, 5506, 543, 2769, 621, 607, 513, 8918, 269, 623, 263, 2254, 2699, 264, 815, 7790, 2699, 1923, 4544, 1923, 3039, 1923, 5835, 476, 14343, 268, 476, 736, 1923, 692, 24216, 676, 22900, 29820, 293, 308, 276, 305, 271, 291, 4366, 593, 4873, 476, 277, 267, 476, 1001, 275, 454, 273, 269, 12693, 7223, 692, 288, 2875, 18202, 1079, 3670, 21758, 1297, 18695, 1896, 2053, 269, 634, 2338, 2630, 616, 519, 18304, 540, 519, 2338, 1352, 18202, 269, 6904, 27008, 4564, 519, 1239, 286, 273, 267, 476, 278, 267, 476, 1015, 267, 476, 277, 267, 476, 1321, 267, 476, 280, 267, 476, 276, 267, 476, 1015, 267, 476, 277, 594, 6415, 12758, 692, 24216, 676, 32088, 593, 2904, 476, 2537, 267, 476, 1001, 277, 454, 274, 269, 12693, 2979, 5530, 3391, 8242, 4267, 2638, 692, 272, 269, 634, 3349, 2982, 519, 2164, 540, 18343, 513, 2185, 23469, 8095, 1676, 476, 2004, 2053, 269, 4855, 519, 8097, 5506, 543, 2769, 621, 607, 513, 8918, 269, 623, 263, 2254, 2699, 264, 815, 7790, 2699, 1923, 4544, 1923, 3039, 1923, 5835, 476, 14343, 476, 736, 1923, 476, 1015, 692, 24216, 676, 22900, 29820, 293, 308, 276, 305, 271, 291, 4366, 593, 4873, 476, 277, 267, 476, 1001, 275, 454, 275, 269, 12693, 4569, 692, 763, 3349, 2982, 519, 2164, 540, 12902, 513, 1297, 13306, 13042, 835, 998, 3670, 476, 2004, 2053, 269, 7089, 17029, 1194, 22039, 476, 272, 476, 278, 476, 273, 476, 280, 476, 274, 476, 1556, 476, 275, 476, 277, 476, 276, 476, 280, 476, 277, 476, 279, 476, 272, 269, 1548, 568, 519, 8097, 5506, 540, 12902, 513, 476, 274, 286, 476, 271, 269, 1556, 476, 271, 269, 2420, 476, 271, 269, 1789, 2878, 476, 271, 269, 2767, 476, 273, 269, 9122, 593, 519, 692, 24216, 676, 674, 7037, 593, 5130, 476, 1428, 267, 476, 1001, 277, 454, 276, 269, 12693, 2979, 692, 272, 7868, 3732, 2230, 585, 513, 5066, 540, 1079, 1297, 18695, 568, 3254, 538, 519, 3349, 269, 630, 272, 267, 272, 31206, 263, 272, 267, 273, 31206, 263, 272, 267, 274, 31206, 263, 272, 267, 275, 31206, 263, 272, 267, 276, 32140, 272, 267, 277, 264, 630, 273, 267, 272, 31206, 263, 273, 267, 273, 31206, 263, 273, 267, 274, 31206, 263, 273, 267, 275, 31206, 263, 273, 267, 276, 31206, 263, 273, 267, 277, 264, 630, 274, 267, 272, 31206, 263, 274, 267, 273, 31206, 263, 274, 267, 274, 31206, 263, 274, 267, 275, 31206, 263, 274, 267, 276, 31206, 263, 274, 267, 277, 264, 630, 275, 267, 272, 31206, 263, 275, 267, 273, 31206, 263, 275, 267, 274, 31206, 263, 275, 267, 275, 31206, 263, 275, 267, 276, 31206, 263, 275, 267, 277, 2020, 24216, 676, 4779, 593, 2904, 476, 2641, 267, 476, 1001, 279, 454, 272, 269, 12693, 13878, 295, 692, 2252, 596, 5066, 513, 476, 277, 521, 3660, 18062, 476, 277, 2053, 267, 1018, 568, 519, 1655, 12605, 2009, 585, 519, 1297, 540, 2053, 596, 786, 5066, 513, 1079, 286, 589, 264, 476, 277, 645, 264, 476, 272, 595, 264, 476, 273, 667, 264, 476, 271, 692, 24216, 676, 23765, 593, 4989, 476, 736, 267, 476, 1001, 277, 454, 273, 269, 12693, 4569, 692, 1492, 648, 21154, 952, 596, 5066, 513, 1297, 13306, 476, 3607, 2053, 267, 875, 1082, 2053, 1131, 596, 2503, 547, 5066, 519, 1297, 835, 286, 1223, 596, 849, 2285, 803, 7778, 286, 11289, 596, 269, 543, 849, 2626, 607, 3728, 607, 2009, 780, 24216, 676, 6424, 593, 4728, 476, 1724, 267, 476, 1001, 278, 454, 274, 269, 12693, 3657, 782, 4267, 1318, 2496, 763, 3732, 2230, 585, 513, 5066, 540, 1079, 1297, 18695, 568, 3254, 538, 519, 3349, 269, 630, 272, 267, 272, 31206, 263, 272, 267, 273, 31206, 263, 272, 267, 274, 31206, 263, 272, 267, 275, 31206, 263, 272, 267, 276, 32140, 272, 267, 277, 264, 630, 273, 267, 272, 31206, 263, 273, 267, 273, 31206, 263, 273, 267, 274, 31206, 263, 273, 267, 275, 31206, 263, 273, 267, 276, 31206, 263, 273, 267, 277, 264, 630, 274, 267, 272, 31206, 263, 274, 267, 273, 31206, 263, 274, 267, 274, 31206, 263, 274, 267, 275, 31206, 263, 274, 267, 276, 31206, 263, 274, 267, 277, 264, 630, 275, 267, 272, 31206, 263, 275, 267, 273, 31206, 263, 275, 267, 274, 31206, 263, 275, 267, 275, 31206, 263, 275, 267, 276, 31206, 263, 275, 267, 277, 2020, 24216, 676, 9995, 344, 593, 5988, 476, 1839, 267, 476, 1001, 277, 454, 275, 269, 12693, 17438, 692, 13706, 606, 4603, 538, 799, 513, 4023, 2185, 21758, 5884, 630, 5976, 8188, 13042, 476, 271, 2073, 476, 272, 2073, 476, 273, 2073, 476, 274, 3738, 568, 18202, 2899, 547, 3313, 875, 1082, 2053, 513, 3670, 21758, 5884, 630, 5976, 8188, 13042, 476, 272, 2073, 907, 267, 476, 277, 3738, 568, 18202, 269, 634, 5884, 20061, 616, 4830, 269, 2913, 2473, 581, 692, 24216, 676, 918, 2088, 593, 4873, 476, 1691, 267, 476, 1001, 280, 454, 276, 269, 12693, 4569, 692, 288, 5884, 568, 18202, 476, 18605, 2053, 269, 21023, 875, 1082, 2053, 621, 786, 1397, 513, 476, 274, 610, 513, 476, 276, 269, 594, 4312, 1044, 12758, 593, 713, 2243, 585, 865, 1279, 2439, 24216, 676, 948, 1889, 2465, 593, 5239, 476, 278, 267, 476, 1001, 276, 454, 277, 269, 12693, 4569, 692, 264, 1403, 596, 18202, 513, 5884, 476, 4366, 2053, 267, 875, 1082, 2053, 1058, 596, 2503, 547, 5066, 513, 476, 274, 286, 2608, 692, 24216, 676, 32088, 593, 2904, 476, 4029, 267, 476, 1001, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4322, 4681, 1397, 513, 5892, 796, 656, 4602, 730, 4276, 1063, 6970, 300, 32635, 4083, 2534, 543, 6553, 538, 2295, 4887, 543, 1397, 602, 713, 4276, 11479, 32277, 28922, 6114, 547, 2295, 4323, 2437, 1767, 18722, 267, 945, 849, 6585, 519, 25260, 6441, 600, 6975, 17348, 538, 9315, 5735, 269, 834, 3528, 1620, 891, 6970, 300, 32635, 4083, 15202, 6127, 602, 2049, 3330, 519, 1591, 649, 1522, 12446, 693, 1007, 543, 1732, 3075, 9072, 602, 957, 811, 4481, 547, 1521, 513, 3099, 540, 2295, 2042, 4799, 297, 3317, 11717, 9466, 1923, 31823, 2336, 10702, 5359, 827, 281, 3436, 645, 3940, 3436, 6970, 300, 32635, 4083, 3436, 22319, 20309, 3436, 9839, 31105, 3436, 6925, 3436, 7513, 15202, 3436, 7513, 270, 5632, 7116, 6081, 17466, 3940, 32635, 4083, 3436, 1591, 9245, 3436, 10408, 2360, 3436, 2295, 4887, 3436, 2295, 4887, 2281, 3436, 2295, 23028, 3436, 4761, 3210, 3436, 4761, 1062, 3436, 6553, 3436, 6553, 538, 2295, 4887, 3436, 12982, 6090, 3436, 9245, 4323, 3436, 11358, 11747, 454, 18199, 308, 3744, 1628, 1007, 16953, 3926, 1210, 476, 274, 5937, 8228, 2029, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 715, 1415, 836, 25895, 2160, 454, 1692, 547, 2490, 3043, 3170, 6960, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 2160, 540, 12425, 3427, 540, 6925, 454, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665, 23851, 4659, 585, 8212, 630, 6573, 303, 264, 568, 6679, 909, 513, 1007, 1382, 2361, 269, 589, 13186, 689, 5437, 476, 2641, 910, 476, 2420, 267, 476, 1001, 277, 786, 1665, 519, 1376, 540, 2238, 585, 606, 5499, 4949, 542, 4603, 269, 16547, 687, 616, 1869, 1152, 17033, 19858, 5536, 269, 4256, 7020, 1223, 4194, 1079, 4909, 2042, 538, 9325, 6323, 281, 1548, 4158, 2339, 5161, 540, 543, 1946, 621, 814, 711, 2943, 1044, 2009, 547, 2047, 7747, 513, 8713, 18670, 585, 519, 2178, 5872, 563, 763, 968, 300, 4696, 7246, 311, 892, 1788, 568, 519, 12463, 303, 779, 7029, 547, 4949, 542, 1382, 269, 16547, 687, 616, 865, 2484, 1152, 513, 7811, 12605, 543, 616, 2352, 547, 3713, 281, 593, 519, 835, 1688, 31972, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 2657, 543, 6925, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 5020, 7070, 454, 5881, 269, 1321, 269, 1001, 277, 1923, 2657, 543, 6925, 0, 30547, 540, 932, 842, 600, 8643, 2012, 2073, 2012, 4214, 267, 5169, 540, 932, 842, 600, 8643, 2012, 267, 15019, 640, 540, 2012, 932, 842, 600, 8643, 267, 2079, 2073, 4008, 540, 932, 842, 600, 8643, 2073, 3600, 549, 10973, 7313, 655, 6168, 932, 842, 600, 8643, 824, 3877, 476, 3248, 268, 476, 272, 932, 842, 600, 8643, 8745, 12791, 543, 3778, 454, 268, 476, 273, 18882, 540, 932, 842, 600, 8643, 8745, 454, 268, 476, 274, 13834, 540, 932, 842, 600, 8643, 454, 268, 476, 275, 5811, 540, 932, 842, 600, 8643, 454, 268, 476, 276, 932, 842, 600, 8643, 10803, 454, 268, 476, 277, 1548, 568, 519, 23168, 1108, 540, 932, 842, 600, 8643, 888, 268, 476, 278, 15019, 640, 540, 932, 842, 600, 8643, 8745, 454, 268, 476, 279, 18567, 540, 932, 842, 600, 8643, 454, 268, 476, 280, 3600, 549, 10973, 7313, 655, 6168, 932, 842, 600, 8643, 454, 268, 476, 1015, 1772, 972, 932, 842, 600, 8643, 2012, 538, 519, 6426, 20081, 528, 1695, 270, 304, 584, 534, 888, 268, 476, 1556, 25587, 4658, 543, 1249, 715, 3139, 932, 842, 600, 8643, 454, 268, 476, 1321, 1772, 932, 842, 600, 8643, 2012, 3514, 585, 4816, 2012, 15017, 2419, 842, 600, 8643, 8745, 12791, 543, 3778, 454, 1432, 6496, 932, 842, 600, 8643, 6399, 543, 3778, 286, 0, 2026, 596, 917, 267, 538, 3987, 267, 1973, 7280, 2157, 616, 1657, 3339, 269, 6787, 596, 723, 1826, 476, 272, 610, 1826, 476, 273, 3987, 267, 596, 666, 4383, 707, 1973, 7280, 2157, 543, 2539, 519, 1981, 540, 1072, 2042, 563, 288, 4816, 779, 2634, 267, 2295, 267, 14401, 267, 543, 9641, 1106, 1282, 519, 1101, 476, 279, 4374, 540, 6379, 269, 4400, 1973, 7280, 2157, 616, 2523, 5739, 1282, 713, 2038, 851, 540, 6379, 269, 8616, 1082, 2021, 1810, 1406, 8275, 789, 2461, 9176, 2394, 476, 276, 610, 476, 277, 4374, 1310, 17748, 269, 27814, 267, 596, 786, 960, 609, 707, 1072, 1416, 8502, 547, 1205, 707, 1973, 7280, 896, 1852, 1354, 596, 1205, 9176, 563, 2252, 596, 2461, 2907, 9176, 267, 1294, 707, 1072, 1416, 8502, 607, 4166, 607, 2009, 547, 1118, 513, 1544, 585, 2921, 1416, 540, 3054, 543, 707, 4816, 269, 4634, 952, 596, 1451, 596, 2461, 9176, 2663, 538, 707, 6379, 267, 596, 666, 1869, 798, 513, 2603, 585, 707, 4816, 779, 1072, 543, 707, 1378, 563, 763, 24920, 2630, 666, 948, 596, 1118, 513, 1544, 585, 513, 2922, 543, 2635, 6379, 269, 2859, 1344, 593, 1142, 1888, 1287, 5205, 269, 2659, 1072, 1416, 2319, 666, 948, 596, 609, 4247, 602, 616, 2352, 585, 596, 269, 570, 871, 548, 835, 3364, 693, 513, 942, 547, 1832, 689, 1373, 16397, 563, 7069, 12128, 5516, 4643, 585, 26579, 454, 28830, 594, 666, 798, 547, 1205, 4712, 585, 513, 2635, 6379, 543, 3136, 547, 798, 1282, 1250, 6379, 454, 7069, 2657, 5516, 12243, 454, 7069, 10552, 3794, 26651, 20946, 454, 7069, 31509, 821, 20946, 454, 296, 3580, 1205, 519, 5227, 2638, 5725, 543, 8047, 4255, 585, 454, 2252, 594, 8673, 267, 594, 3580, 16718, 563, 7069, 2725, 531, 4643, 454, 7069, 8447, 11314, 13705, 710, 454, 2419, 5190, 538, 3733, 11545, 13705, 710, 454, 6524, 596, 1205, 9176, 267, 2911, 609, 707, 1072, 1416, 2319, 827, 707, 6999, 547, 723, 513, 4816, 269, 2659, 2319, 666, 960, 609, 596, 547, 1118, 2386, 707, 1973, 7280, 2157, 616, 593, 3077, 269, 1403, 596, 723, 2055, 610, 19048, 267, 3142, 873, 909, 269, 1403, 596, 2461, 2907, 9176, 267, 1294, 707, 4387, 1318, 2476, 563, 288, 2487, 1353, 1336, 602, 2021, 945, 7985, 689, 10194, 3968, 1282, 6379, 616, 693, 513, 1164, 1981, 540, 23142, 519, 3644, 547, 741, 16220, 11630, 9087, 564, 4926, 18667, 811, 454, 763, 32343, 6646, 585, 3987, 1282, 6379, 568, 7378, 18667, 811, 0, 24876, 835, 1383, 540, 513, 1249, 3510, 538, 799, 1142, 540, 519, 1614, 22410, 11621, 540, 21781, 3008, 616, 711, 1558, 269, 1280, 1142, 1383, 2491, 519, 1764, 540, 519, 18670, 593, 519, 9165, 540, 519, 20894, 543, 519, 20894, 1867, 563, 12585, 547, 4143, 5999, 763, 796, 7116, 1881, 20894, 6644, 2829, 602, 519, 2883, 6898, 968, 269, 1547, 1547, 1459, 9425, 269, 1547, 1547, 538, 13076, 609, 8225, 3622, 7608, 8051, 3741, 1848, 26473, 1600, 281, 320, 269, 11512, 267, 689, 519, 5133, 540, 519, 3267, 2690, 519, 3483, 540, 12570, 519, 2469, 8410, 1356, 333, 13429, 267, 621, 568, 16912, 539, 602, 519, 2912, 3218, 786, 2015, 2436, 519, 2754, 786, 3136, 538, 6228, 585, 513, 968, 516, 32208, 942, 892, 602, 1281, 711, 9765, 835, 1032, 3564, 519, 3267, 20059, 580, 622, 519, 1686, 543, 1699, 4567, 540, 519, 595, 32177, 22452, 30633, 593, 519, 2469, 8410, 1356, 333, 13429, 602, 729, 8385, 9783, 538, 476, 1960, 277, 269, 2422, 519, 595, 32177, 3896, 267, 11404, 18225, 267, 543, 824, 3318, 12326, 547, 2932, 713, 3267, 1692, 798, 2242, 538, 519, 2872, 1604, 1860, 513, 1870, 779, 4220, 286, 1432, 568, 519, 5665, 6666, 2095, 585, 519, 1699, 1032, 585, 7102, 4818, 1415, 3254, 538, 1401, 3031, 527, 888, 8070, 707, 2243, 0, 9596, 1945, 1007, 1169, 1554, 454, 5415, 27084, 1862, 676, 4757, 454, 2304, 25752, 7805, 568, 2576, 945, 6763, 519, 1318, 547, 27836, 607, 1279, 607, 1352, 610, 646, 7979, 1161, 2576, 267, 14322, 602, 972, 616, 1100, 3665, 970, 523, 15070, 6381, 269, 901, 2165, 568, 1034, 4122, 1031, 538, 8100, 547, 22420, 10643, 267, 799, 7500, 896, 1950, 1949, 540, 18472, 269, 589, 1644, 2165, 267, 968, 515, 597, 16912, 696, 633, 2223, 4016, 547, 2576, 945, 1131, 4440, 27836, 538, 519, 2680, 540, 2576, 781, 2669, 267, 855, 1223, 581, 19774, 693, 1022, 942, 563, 1103, 615, 1243, 10643, 616, 2356, 5293, 1524, 896, 519, 1062, 540, 2215, 4094, 8132, 269, 769, 713, 1062, 267, 519, 1101, 4535, 9100, 1080, 3388, 269, 1635, 15007, 267, 2215, 4094, 8132, 729, 13840, 11658, 547, 5256, 1453, 267, 799, 5921, 602, 952, 513, 4622, 543, 15596, 1185, 2185, 20766, 4553, 676, 513, 2582, 5067, 267, 585, 1383, 267, 519, 5067, 1131, 581, 519, 25752, 7805, 5103, 519, 1249, 602, 646, 1131, 581, 7820, 982, 1010, 19946, 269, 11153, 6082, 723, 1904, 539, 547, 1689, 547, 513, 1062, 540, 6207, 2215, 4094, 8132, 267, 538, 799, 18472, 4031, 11716, 4008, 563, 763, 25752, 7805, 568, 519, 1268, 945, 814, 519, 1318, 547, 519, 2140, 896, 519, 4031, 540, 2215, 4094, 8132, 269, 769, 513, 4182, 609, 6207, 2215, 4094, 8132, 267, 713, 1131, 581, 519, 1101, 1126, 540, 519, 7008, 799, 6585, 519, 2140, 269, 1403, 513, 7008, 8959, 547, 723, 1453, 267, 789, 1223, 723, 646, 15077, 16912, 696, 633, 538, 519, 1106, 540, 16254, 543, 519, 1453, 540, 16254, 267, 607, 1134, 607, 1851, 811, 3845, 14077, 269, 1452, 646, 15077, 1223, 581, 721, 584, 6244, 676, 606, 25752, 7805, 267, 543, 538, 930, 4525, 267, 519, 1876, 1256, 2838, 513, 7996, 1974, 547, 3313, 2436, 610, 711, 11097, 3298, 941, 9176, 1354, 21704, 532, 10643, 547, 646, 15077, 16912, 696, 633, 269, 1403, 513, 30612, 729, 9176, 267, 1200, 1126, 1131, 581, 519, 25752, 7805, 267, 543, 971, 2021, 3006, 19500, 607, 1036, 757, 547, 3180, 513, 2140, 2394, 741, 1453, 3357, 540, 2085, 563, 1103, 1840, 547, 9100, 1746, 519, 2140, 267, 519, 25752, 7805, 849, 9100, 1080, 519, 10040, 269, 1635, 15007, 267, 621, 568, 1455, 585, 1004, 547, 1118, 17260, 538, 1272, 547, 2327, 602, 824, 16254, 616, 3177, 585, 267, 543, 2899, 606, 25752, 7805, 9100, 1080, 513, 2140, 267, 1352, 610, 646, 949, 849, 1118, 17260, 593, 16254, 543, 824, 14077, 269, 1717, 267, 519, 23649, 540, 513, 2140, 543, 10040, 666, 1904, 547, 771, 514, 615, 527, 2576, 676, 1818, 1100, 14074, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1447, 982, 610, 3160, 547, 476, 1240, 267, 31874, 780, 1012, 6555, 529, 2225, 540, 476, 8146, 7871, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 273, 476, 272, 476, 274, 476, 276, 476, 277, 476, 272, 476, 273, 692, 1240, 267, 31874, 568, 711, 16883, 676, 1022, 1297, 1447, 982, 610, 3160, 547, 476, 280, 780, 1892, 25226, 454, 1892, 11788, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1892, 11788, 5295, 454, 1892, 12384, 5131, 692, 1012, 12476, 7503, 630, 8146, 7871, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 18733, 8099, 8099, 9826, 454, 274, 570, 1716, 776, 476, 21854, 18733, 1708, 454, 275, 2372, 15715, 776, 476, 6200, 26825, 4905, 454, 276, 2372, 2435, 476, 10441, 9610, 274, 454, 277, 7354, 776, 476, 13136, 276, 3393, 454, 279, 4239, 531, 476, 275, 3607, 8618, 454, 1015, 27252, 476, 8146, 7871, 454, 1321, 13660, 1712, 31565, 513, 4037, 276, 454, 1626, 1261, 343, 1228, 31565, 476, 5325, 321, 272, 454, 736, 966, 580, 525, 2711, 476, 1839, 24863, 454, 3607, 12476, 3607, 552, 276, 339, 692, 1012, 9978, 9273, 630, 333, 815, 476, 8146, 7871, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 3607, 278, 6187, 476, 20862, 6795, 476, 278, 4097, 1321, 476, 280, 1704, 4792, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 280, 1704, 277, 269, 276, 476, 277, 1556, 278, 269, 6858, 476, 3393, 279, 279, 269, 1839, 476, 3607, 278, 271, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 28656, 279, 3953, 2568, 280, 476, 277, 1240, 6642, 6434, 278, 29574, 278, 476, 13647, 27174, 18684, 4366, 276, 278, 5379, 6434, 272, 476, 21172, 26297, 11260, 278, 8287, 29720, 7742, 277, 4200, 274, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 13670, 269, 5325, 274, 476, 2918, 269, 4391, 278, 277, 476, 1556, 269, 277, 4375, 274, 476, 278, 269, 14862, 3066, 692, 1012, 476, 8146, 7871, 607, 12166, 5546, 692, 2162, 17781, 692, 20238, 3780, 815, 562, 454, 18924, 2678, 476, 3607, 278, 6187, 476, 12893, 25628, 476, 272, 269, 4962, 279, 866, 324, 266, 6021, 692, 2162, 1975, 1877, 692, 20238, 3780, 815, 562, 454, 11730, 476, 273, 269, 6812, 280, 5379, 324, 266, 1724, 476, 275, 269, 22446, 10602, 324, 266, 6021, 476, 12893, 25628, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 278, 4097, 1321, 476, 274, 269, 3607, 279, 3451, 324, 266, 5400, 476, 28796, 4649, 269, 272, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 273, 269, 28512, 324, 266, 6021, 476, 277, 269, 8687, 8660, 324, 266, 1321, 476, 28766, 6434, 269, 274, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 20862, 6795, 476, 272, 269, 3393, 279, 7871, 324, 266, 5400, 476, 15647, 11463, 269, 273, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 276, 269, 279, 4097, 1556, 324, 266, 5400, 476, 278, 269, 26326, 6246, 324, 266, 1556, 476, 14983, 5952, 269, 273, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 513, 7830, 325, 272, 320, 28760, 276, 325, 1240, 323, 4375, 320, 278, 321, 279, 2537, 325, 11463, 323, 1372, 320, 2764, 320, 476, 6246, 20660, 271, 322, 5325, 274, 274, 659, 323, 27151, 272, 323, 22396, 280, 5379, 1321, 325, 6507, 10623, 280, 1015, 280, 322, 321, 30019, 280, 476, 3393, 279, 280, 611, 4366, 275, 276, 764, 325, 25900, 271, 320, 629, 278, 7597, 280, 2041, 1815, 1015, 325, 10482, 276, 323, 6507, 2378, 2041, 321, 1015, 320, 5881, 275, 321, 274, 323, 6860, 1030, 277, 323, 3199, 277, 272, 2041, 320, 476, 2641, 323, 4817, 275, 2465, 276, 659, 8064, 324, 272, 629, 325, 321, 2190, 322, 3374, 280, 26501, 280, 323, 273, 321, 276, 320, 3199, 278, 11463, 4206, 3583, 325, 6078, 323, 3199, 323, 3607, 323, 6858, 324, 279, 322, 276, 322, 279, 324, 866, 323, 6021, 325, 1704, 8619, 279, 629, 1839, 323, 742, 277, 3583, 322, 28766, 273, 4206, 22396, 280, 8287, 275, 325, 6507, 274, 1789, 321, 15793, 271, 321, 2004, 278, 6860, 322, 271, 4375, 1372, 1691, 26501, 275, 323, 275, 325, 322, 276, 476, 278, 323, 277, 1626, 321, 24374, 323, 275, 2801, 321, 273, 2041, 277, 2190, 322, 271, 325, 4097, 321, 7597, 321, 278, 4366, 276, 2041, 2004, 277, 325, 275, 0, 2791, 723, 1007, 3688, 538, 707, 3049, 269, 8437, 547, 2070, 563, 304, 281, 1548, 568, 519, 2040, 540, 476, 276, 3952, 476, 280, 6279, 543, 476, 1321, 3952, 476, 274, 6279, 286, 589, 269, 476, 1704, 10264, 269, 476, 272, 538, 269, 645, 269, 476, 1704, 10264, 269, 595, 269, 476, 1240, 10264, 269, 667, 269, 476, 1240, 10264, 269, 476, 272, 538, 563, 288, 281, 634, 2040, 540, 476, 276, 3952, 476, 280, 6279, 543, 476, 1321, 3952, 476, 274, 6279, 568, 476, 1240, 10264, 269, 476, 276, 3952, 476, 280, 6279, 1341, 476, 1321, 3952, 476, 274, 6279, 815, 476, 1704, 3952, 1341, 1321, 6279, 815, 476, 1704, 10264, 1341, 476, 272, 10264, 815, 476, 1240, 10264, 476, 272, 3952, 815, 476, 1321, 6279, 1547, 476, 1704, 3952, 1341, 1321, 6279, 815, 476, 1240, 10264, 454, 9223, 454, 16485, 539, 476, 2641, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 3393, 281, 2918, 7537, 454, 24993, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1015, 281, 7906, 281, 4391, 7537, 454, 305, 908, 454, 271, 454, 763, 2040, 540, 476, 276, 3952, 476, 280, 6279, 543, 476, 1321, 3952, 476, 274, 6279, 568, 476, 1240, 10264, 269, 476, 276, 3952, 476, 280, 6279, 1341, 476, 1321, 3952, 476, 274, 6279, 815, 476, 1704, 3952, 1341, 1321, 6279, 815, 476, 1704, 10264, 1341, 476, 272, 10264, 815, 476, 1240, 10264, 476, 272, 3952, 815, 476, 1321, 6279, 1547, 476, 1704, 3952, 1341, 1321, 6279, 815, 476, 1240, 10264, 454, 3849, 4765, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1015, 281, 7906, 281, 4391, 7537, 454, 18183, 3305, 539, 676, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 4097, 281, 4097, 6751, 3910, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 4097, 281, 4097, 6751, 6540, 26524, 4280, 676, 519, 1482, 21233, 454, 306, 639, 534, 6499, 547, 4444, 513, 31784, 10935, 585, 8096, 279, 2412, 269, 2701, 786, 2628, 476, 736, 260, 1524, 543, 2628, 519, 1964, 538, 3670, 10865, 3888, 906, 269, 1548, 786, 581, 519, 2179, 540, 1142, 10865, 8569, 286, 589, 269, 8096, 12739, 645, 269, 8096, 12208, 595, 269, 8096, 2764, 667, 269, 8096, 9610, 454, 9223, 454, 24993, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1015, 281, 4366, 281, 4343, 7537, 454, 306, 639, 534, 6499, 547, 4444, 513, 31784, 10935, 585, 8096, 279, 2412, 269, 2701, 3513, 2628, 476, 736, 260, 1524, 543, 2628, 519, 1964, 538, 3670, 10865, 3888, 906, 269, 634, 2179, 540, 1142, 10865, 8569, 568, 8096, 12208, 269, 476, 279, 2412, 2608, 736, 260, 815, 476, 279, 2412, 265, 271, 269, 736, 815, 8096, 12739, 2073, 8569, 2451, 815, 476, 279, 2412, 910, 12739, 815, 476, 6858, 273, 267, 10865, 8569, 815, 476, 6858, 273, 270, 277, 815, 8096, 12208, 454, 3849, 4765, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1015, 281, 4366, 281, 4343, 7537, 454, 18183, 3305, 539, 676, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 3451, 281, 4097, 6751, 3910, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 3451, 281, 4097, 6751, 2639, 306, 639, 534, 6499, 547, 4444, 513, 31784, 10935, 585, 8096, 279, 2412, 269, 2701, 786, 2628, 476, 736, 260, 1524, 543, 2628, 519, 1964, 538, 3670, 10865, 3888, 906, 269, 1548, 786, 581, 519, 2179, 540, 1142, 10865, 8569, 888, 9223, 454, 24993, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1015, 281, 1789, 281, 1704, 7537, 454, 306, 639, 534, 6499, 547, 4444, 513, 31784, 10935, 585, 8096, 279, 2412, 269, 2701, 3513, 2628, 476, 736, 260, 1524, 1547, 3915, 2628, 539, 815, 476, 279, 2412, 265, 271, 269, 736, 815, 8096, 12739, 269, 2451, 815, 476, 279, 2412, 910, 12739, 815, 8096, 6858, 273, 269, 1964, 6976, 538, 476, 277, 3923, 3888, 618, 2073, 1142, 3888, 618, 815, 476, 6858, 273, 270, 277, 815, 8096, 12208, 454, 3849, 4765, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1015, 281, 1789, 281, 1704, 7537, 454, 18183, 3305, 539, 676, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 3451, 281, 6795, 6751, 3910, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 278, 281, 3451, 281, 6795, 6751, 2639, 1692, 666, 513, 1268, 609, 26178, 22166, 3489, 8192, 7513, 286, 589, 269, 16202, 6266, 540, 2898, 9274, 269, 645, 269, 16202, 6266, 540, 4195, 32729, 269, 595, 269, 16202, 3536, 602, 2270, 3404, 531, 919, 547, 11694, 7513, 10338, 269, 667, 269, 6875, 513, 10788, 602, 2337, 547, 7558, 26178, 1354, 4189, 10683, 2472, 563, 9223, 454, 24993, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1321, 281, 7906, 281, 4343, 6751, 454, 292, 520, 6266, 540, 2898, 9274, 666, 513, 1268, 609, 26178, 22166, 3489, 8192, 7513, 563, 3849, 4765, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1321, 281, 3374, 281, 2190, 6751, 454, 1607, 2626, 814, 1044, 9206, 3022, 607, 11234, 563, 14503, 698, 3022, 676, 16549, 600, 2317, 1496, 277, 270, 274, 270, 1001, 279, 476, 1321, 281, 6872, 281, 4510, 6751, 2639, 292, 520, 6266, 540, 4195, 32729, 269, 910, 529, 875, 666, 513, 1268, 609, 26178, 22166, 666, 3489, 8192, 7513, 563, 3849, 4765, 476, 736, 2395, 3516, 347, 277, 270, 274, 270, 1001, 279, 476, 1321, 281, 7906, 281, 4343, 6751, 454, 20330, 7476, 4267, 689, 1284, 1122, 344, 543, 513, 2319, 540, 2731, 5100, 2729, 4966, 563, 28082, 22062, 725, 454, 24169, 585, 1535, 476, 274, 343, 1341, 476, 274, 910, 1535, 1341, 11196, 278, 264, 3436, 476, 277, 589, 269, 1535, 3436, 476, 273, 269, 276, 645, 269, 1535, 3436, 4429, 2171, 1122, 344, 281, 630, 274, 343, 1341, 476, 272, 264, 1341, 476, 279, 815, 476, 275, 3287, 1341, 476, 280, 1070, 476, 274, 343, 1341, 476, 280, 815, 476, 275, 343, 1341, 476, 3607, 267, 476, 274, 343, 910, 476, 275, 343, 815, 476, 3607, 910, 476, 280, 267, 910, 343, 815, 476, 2767, 267, 1535, 815, 910, 2767, 14871, 281, 16534, 713, 4429, 2691, 4946, 513, 21879, 602, 5956, 609, 513, 27901, 267, 519, 2489, 4341, 4429, 2171, 1122, 344, 281, 1403, 519, 10678, 5956, 609, 513, 27901, 267, 519, 10259, 540, 519, 3597, 2262, 568, 2356, 711, 12012, 563, 12148, 610, 7301, 286, 13262, 814, 606, 1198, 593, 1169, 1062, 540, 519, 1560, 563, 2171, 1122, 344, 281, 1018, 568, 519, 2243, 888, 1432, 781, 476, 274, 2608, 476, 275, 454, 2171, 1122, 344, 281, 14271, 11618, 585, 519, 2262, 834, 25669, 257, 799, 616, 8273, 538, 3259, 543, 538, 1764, 267, 616, 5968, 267, 4429, 1432, 616, 1297, 3515, 888, 306, 454, 299, 454, 32622, 476, 16348, 1496, 13707, 476, 28638, 316, 13158, 902, 476, 271, 22227, 476, 5908, 769, 10903, 725, 476, 278, 5510, 1467, 454, 306, 454, 299, 454, 305, 454, 32622, 476, 13970, 1496, 13707, 476, 30640, 316, 13158, 902, 476, 272, 22227, 476, 276, 769, 10903, 725, 476, 1724, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 15836, 1496, 13707, 476, 15836, 316, 13158, 902, 476, 271, 22227, 476, 15836, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 305, 454, 299, 454, 305, 454, 303, 454, 305, 454, 303, 454, 305, 454, 32622, 476, 5780, 1496, 13707, 476, 278, 4097, 316, 13158, 902, 476, 271, 22227, 476, 277, 769, 10903, 725, 476, 277, 5510, 1467, 454, 306, 454, 272, 454, 299, 454, 299, 454, 303, 454, 305, 454, 303, 454, 299, 454, 303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 18656, 3101, 538, 835, 1932, 1082, 11680, 540, 6995, 610, 824, 14185, 3990, 16098, 563, 306, 599, 1434, 25742, 547, 11877, 7181, 338, 543, 32597, 547, 513, 25747, 14185, 3990, 3935, 609, 1970, 14092, 573, 6995, 563, 18893, 585, 1970, 14092, 573, 6995, 454, 2690, 1346, 7680, 6995, 14001, 13165, 267, 8939, 1970, 14092, 573, 545, 8925, 1522, 948, 13468, 519, 2589, 269, 3371, 616, 930, 2798, 547, 2015, 912, 268, 8899, 14092, 573, 545, 30756, 4315, 723, 513, 9063, 1377, 540, 476, 276, 610, 2362, 563, 268, 6259, 3821, 10365, 3132, 1447, 23639, 982, 7605, 755, 320, 10365, 563, 268, 6333, 1232, 2378, 3681, 607, 14933, 666, 22652, 13165, 563, 268, 12019, 1786, 342, 3681, 949, 581, 4443, 547, 7558, 543, 2270, 1447, 23639, 563, 2005, 779, 1271, 547, 4063, 602, 1970, 14092, 573, 545, 6995, 949, 711, 8209, 1611, 1447, 29316, 6995, 269, 2368, 12478, 2709, 29316, 8925, 609, 2539, 23639, 2157, 269, 3958, 267, 17874, 609, 513, 3782, 3318, 827, 519, 10335, 540, 519, 2589, 543, 1761, 5817, 2175, 568, 5227, 563, 288, 3659, 540, 9553, 4810, 13165, 1310, 6704, 1200, 8912, 7484, 540, 6995, 585, 1896, 4374, 1354, 16734, 1352, 1185, 26178, 22166, 269, 2701, 23564, 547, 13386, 5144, 538, 1200, 6995, 543, 1200, 9667, 2152, 17251, 269, 898, 779, 1898, 547, 2697, 1022, 5817, 1072, 2175, 547, 2327, 3617, 2126, 585, 1279, 3856, 8323, 269, 3619, 5214, 543, 4734, 519, 19880, 11784, 267, 1317, 21187, 543, 6995, 28542, 513, 9568, 3575, 563, 22879, 21187, 543, 979, 585, 5214, 6995, 454, 24400, 5214, 6995, 1510, 1022, 10991, 21187, 666, 948, 2061, 13165, 3361, 676, 6995, 269, 17667, 6995, 711, 1152, 7182, 4598, 547, 5739, 6464, 855, 849, 2488, 513, 7646, 6492, 1818, 621, 4443, 547, 7558, 269, 3958, 267, 10438, 1507, 5666, 540, 6995, 543, 6704, 7899, 540, 1216, 666, 5351, 538, 9319, 9667, 11605, 563, 2414, 2327, 8766, 12526, 1282, 4393, 267, 6467, 547, 18019, 12478, 602, 4225, 2067, 14713, 2409, 269, 901, 11226, 538, 13302, 519, 5506, 540, 14933, 22166, 543, 13027, 6547, 3056, 547, 13165, 269, 3600, 7190, 538, 6995, 568, 1776, 1713, 3815, 7133, 9667, 1072, 282, 3970, 6981, 540, 3810, 15755, 4158, 887, 770, 30756, 4315, 602, 666, 4196, 607, 12153, 585, 29463, 543, 13165, 4929, 6553, 563, 2521, 4946, 24036, 267, 20909, 610, 29018, 1247, 28823, 707, 5214, 3903, 585, 3773, 8137, 269, 1452, 14546, 4865, 3875, 16063, 3601, 602, 948, 538, 25695, 12536, 543, 4227, 26533, 1419, 2404, 609, 6995, 6981, 269, 7053, 267, 19234, 609, 14402, 887, 6814, 607, 789, 723, 1447, 14933, 1543, 3379, 547, 4158, 887, 6814, 949, 6961, 547, 581, 513, 3730, 4480, 538, 15645, 908, 14933, 14001, 2589, 971, 607, 4160, 267, 27621, 2787, 543, 7928, 15108, 5322, 563, 7804, 1074, 1216, 899, 621, 779, 707, 2816, 267, 1317, 1577, 779, 581, 1483, 267, 18864, 6499, 547, 581, 17991, 689, 741, 16892, 563, 3080, 2500, 4640, 547, 25559, 6995, 14001, 13165, 568, 547, 2226, 1134, 31622, 3603, 269, 29615, 12930, 4616, 540, 1216, 666, 3666, 519, 7050, 5714, 2530, 538, 588, 8962, 1813, 547, 519, 1019, 675, 6776, 4162, 540, 14933, 563, 7804, 9722, 1216, 7258, 6995, 4616, 666, 2327, 20697, 267, 3895, 2834, 15108, 5322, 267, 543, 11574, 519, 2360, 540, 14933, 593, 519, 9667, 1062, 269, 18227, 513, 1216, 11480, 7404, 543, 521, 6235, 621, 4749, 1282, 610, 1310, 2921, 6995, 786, 3666, 856, 519, 1019, 675, 6776, 3601, 543, 948, 2061, 13165, 563, 8855, 602, 9363, 19872, 568, 711, 1152, 827, 6704, 10750, 1216, 267, 855, 824, 2635, 3681, 971, 607, 16909, 29225, 267, 5347, 625, 267, 23238, 267, 610, 17310, 1216, 666, 1039, 3063, 5567, 543, 6225, 7135, 602, 5818, 12536, 563, 18455, 13533, 540, 20697, 2157, 1247, 11981, 707, 7484, 540, 15608, 1223, 581, 606, 24343, 2509, 7303, 13311, 16063, 11605, 269, 1924, 1118, 2386, 596, 616, 8026, 713, 2241, 2943, 1271, 1900, 3232, 547, 10038, 12536, 543, 2057, 9636, 563, 8005, 2115, 6995, 950, 596, 666, 723, 513, 8799, 3636, 7484, 540, 9106, 558, 850, 7401, 286, 898, 949, 711, 2285, 596, 707, 14933, 4368, 267, 855, 621, 3580, 9090, 2285, 707, 7181, 513, 2736, 563, 21446, 894, 10425, 547, 6995, 585, 1004, 609, 13165, 454, 2414, 1265, 4244, 10425, 547, 6995, 585, 1004, 609, 13165, 267, 2490, 547, 16909, 29225, 267, 3905, 10217, 267, 543, 5347, 625, 607, 2009, 3435, 269, 1452, 10425, 2709, 513, 3099, 540, 10366, 543, 2640, 1247, 9319, 519, 9667, 13347, 3361, 676, 6995, 563, 15463, 4472, 1102, 16272, 616, 513, 1390, 4244, 547, 6995, 585, 1346, 7680, 13165, 269, 1452, 29225, 616, 1500, 676, 2848, 9429, 11922, 538, 3905, 1216, 267, 3850, 741, 16392, 3601, 547, 581, 5950, 269, 1635, 7446, 1978, 11922, 267, 596, 666, 2972, 513, 2039, 540, 2640, 689, 22196, 519, 7181, 547, 14304, 519, 4761, 1062, 563, 763, 1739, 616, 930, 11922, 547, 2972, 538, 16909, 1102, 16272, 912, 268, 16422, 558, 850, 1700, 19612, 585, 922, 4550, 13611, 543, 22196, 3601, 267, 713, 7401, 568, 2500, 538, 4227, 7181, 9636, 543, 5009, 3207, 563, 268, 3212, 653, 1069, 842, 1107, 901, 10786, 6971, 4887, 838, 553, 916, 538, 519, 9667, 8778, 267, 4543, 547, 13468, 16081, 4771, 267, 26533, 267, 543, 13165, 563, 268, 717, 5424, 1107, 589, 3532, 4550, 13611, 543, 1387, 2471, 545, 267, 20909, 7401, 666, 14867, 9667, 9636, 2404, 609, 13165, 563, 268, 674, 3317, 601, 1107, 589, 2067, 1884, 7371, 553, 7116, 545, 602, 2337, 6001, 519, 6091, 538, 519, 8937, 267, 17212, 1324, 9636, 1282, 12536, 563, 268, 19748, 517, 7195, 332, 1107, 901, 7401, 8992, 11005, 543, 6971, 2566, 538, 519, 1560, 267, 3246, 8323, 689, 14159, 16081, 4771, 543, 9636, 563, 268, 13397, 528, 823, 17848, 1107, 19612, 585, 922, 4550, 13611, 3601, 602, 948, 865, 6139, 16698, 538, 519, 9667, 8778, 563, 2005, 568, 1271, 547, 2057, 1210, 16909, 29225, 607, 513, 10826, 22433, 3070, 269, 31173, 513, 3782, 3318, 1354, 10438, 1022, 16909, 30376, 568, 3810, 5227, 563, 3682, 17785, 281, 27276, 4130, 13980, 540, 16909, 1102, 16272, 7444, 2429, 519, 1554, 3079, 540, 1804, 5666, 693, 2899, 563, 31640, 10217, 949, 711, 10826, 707, 13165, 267, 855, 621, 3580, 9090, 2285, 596, 1945, 3116, 547, 1445, 593, 1247, 596, 2461, 12758, 593, 519, 16003, 563, 288, 3636, 669, 4377, 520, 344, 20892, 1522, 865, 6139, 519, 7181, 540, 2576, 609, 13165, 563, 31640, 28688, 568, 513, 8949, 4244, 547, 6995, 1500, 689, 23342, 8869, 543, 5144, 269, 898, 3568, 32064, 6950, 585, 4550, 13611, 3601, 543, 521, 6235, 3905, 10217, 666, 6001, 707, 1560, 543, 14867, 2566, 269, 634, 11254, 3679, 2048, 339, 7973, 2684, 534, 685, 538, 3905, 23342, 7472, 22515, 799, 2306, 596, 1745, 1732, 269, 3958, 267, 3905, 10217, 3568, 1447, 14933, 982, 6995, 543, 2337, 13468, 13165, 5829, 18024, 2589, 269, 898, 666, 581, 1500, 609, 1970, 19339, 610, 2030, 2861, 5144, 585, 4389, 3170, 1543, 563, 1103, 1840, 267, 1346, 945, 616, 26178, 703, 26985, 666, 4324, 689, 1818, 3905, 10217, 609, 1875, 1673, 8543, 3681, 971, 607, 17310, 267, 30288, 267, 610, 13386, 5144, 269, 1452, 8925, 2356, 2270, 2539, 3170, 1543, 982, 10800, 779, 5144, 267, 543, 849, 1683, 1898, 8324, 543, 6886, 899, 6171, 667, 543, 7513, 563, 288, 3659, 540, 9553, 1185, 5063, 15468, 2192, 1247, 10707, 13383, 269, 10871, 1216, 1185, 3361, 1200, 7334, 9667, 2152, 282, 4173, 7181, 729, 5393, 13347, 267, 1352, 7012, 1406, 5329, 4376, 1524, 1519, 6995, 269, 2701, 1336, 8323, 676, 6704, 3905, 10217, 267, 799, 1608, 4364, 1200, 13285, 543, 4847, 1200, 547, 7930, 22919, 1648, 547, 3136, 593, 609, 1200, 12599, 563, 22879, 6995, 14001, 14784, 609, 891, 5347, 625, 602, 786, 723, 596, 4743, 1447, 536, 636, 4364, 827, 707, 7181, 2042, 563, 10712, 26743, 773, 267, 513, 20762, 4235, 1500, 909, 540, 5613, 543, 5388, 267, 666, 581, 513, 3501, 4244, 547, 6995, 585, 1004, 7092, 689, 13165, 269, 3371, 616, 930, 2640, 543, 19363, 540, 10438, 5347, 625, 912, 268, 6762, 538, 715, 19153, 281, 3911, 26743, 625, 723, 606, 7850, 2179, 540, 4105, 5567, 971, 607, 6775, 267, 8324, 267, 543, 6886, 563, 268, 14168, 547, 6226, 652, 281, 4595, 5347, 625, 616, 20762, 10425, 267, 789, 798, 711, 2154, 3573, 21400, 799, 2306, 621, 4443, 547, 7558, 563, 268, 4400, 17491, 12474, 281, 2368, 20749, 2139, 5347, 625, 2270, 1164, 5666, 540, 3773, 4006, 799, 949, 22652, 13165, 2589, 563, 10712, 26743, 625, 849, 2709, 17545, 538, 8137, 3681, 676, 6220, 1114, 5613, 543, 5388, 883, 707, 4235, 269, 5015, 267, 596, 666, 1039, 3606, 5820, 971, 607, 18506, 610, 3940, 8869, 547, 5818, 9422, 1871, 563, 3080, 1268, 779, 1995, 609, 5347, 625, 3238, 16471, 20397, 267, 22229, 267, 30288, 5144, 543, 18506, 269, 901, 4999, 5280, 873, 8396, 741, 13165, 2589, 1247, 849, 1373, 8949, 543, 24253, 563, 7804, 1074, 909, 267, 7423, 24189, 1107, 891, 8925, 786, 723, 596, 4743, 17212, 1386, 538, 1100, 942, 563, 305, 14445, 532, 519, 10171, 540, 6995, 14001, 13165, 3322, 513, 15491, 1935, 269, 7799, 1746, 6995, 6981, 267, 9363, 19872, 267, 543, 10438, 6775, 11656, 3536, 616, 782, 2500, 2994, 269, 3958, 267, 1904, 532, 585, 2539, 3679, 543, 14402, 887, 6814, 666, 849, 6175, 16063, 9636, 269, 14936, 267, 1004, 609, 6213, 9667, 1949, 949, 4324, 689, 3695, 4244, 14933, 2959, 610, 5275, 1489, 689, 513, 3782, 3318, 563, 312, 8986, 3516, 267, 1250, 3659, 11124, 689, 4049, 13165, 1310, 10438, 2789, 11680, 540, 6995, 1282, 606, 2038, 6640, 5870, 269, 2701, 7691, 602, 1200, 1560, 729, 711, 26224, 547, 1164, 14933, 6981, 538, 971, 513, 2110, 2179, 540, 942, 269, 4595, 1287, 267, 1352, 814, 1044, 811, 26256, 714, 656, 540, 1200, 6995, 4616, 543, 23564, 547, 7646, 518, 29225, 950, 2556, 269, 4804, 689, 1200, 1995, 5280, 803, 1174, 519, 2956, 540, 13326, 14933, 6981, 585, 6099, 8937, 1072, 563, 21761, 18542, 5999, 454, 272, 269, 4208, 1281, 6995, 2014, 13165, 888, 290, 4752, 2465, 666, 2014, 13165, 607, 621, 3568, 14933, 799, 568, 513, 8102, 656, 602, 4679, 519, 27373, 540, 519, 24026, 267, 4611, 538, 10690, 588, 8962, 543, 13165, 563, 273, 269, 2052, 594, 2061, 13165, 689, 6995, 888, 8133, 267, 596, 666, 2061, 13165, 689, 6995, 676, 12145, 707, 6995, 6981, 543, 6704, 7899, 540, 1216, 269, 1411, 666, 849, 6467, 547, 1232, 2378, 610, 2119, 6995, 8925, 899, 16909, 7401, 610, 3905, 23342, 563, 274, 269, 1215, 1454, 6995, 1058, 594, 4235, 547, 2057, 13165, 888, 763, 2179, 540, 6995, 602, 666, 2014, 13165, 9775, 689, 1268, 547, 1268, 269, 1717, 267, 6704, 811, 982, 476, 274, 268, 275, 11680, 540, 6995, 513, 1554, 666, 2333, 707, 1981, 540, 13165, 269, 1677, 2057, 13165, 267, 3970, 707, 6995, 6981, 547, 476, 272, 268, 273, 11680, 513, 1554, 563, 275, 269, 1548, 616, 519, 2589, 540, 6995, 14001, 13165, 888, 763, 2589, 540, 6995, 14001, 13165, 1331, 10690, 588, 8962, 267, 1216, 344, 588, 8962, 267, 7928, 15108, 5322, 267, 14159, 25574, 267, 543, 15353, 563, 276, 269, 1215, 1279, 1281, 6995, 14001, 13165, 2063, 888, 763, 8653, 540, 6995, 14001, 13165, 5673, 593, 519, 10335, 540, 519, 2589, 269, 769, 1034, 2665, 267, 621, 16569, 585, 513, 1554, 610, 1079, 269, 1717, 267, 952, 519, 2589, 6414, 585, 811, 982, 476, 274, 268, 275, 2395, 267, 5077, 707, 4387, 563, 277, 269, 3657, 972, 1022, 2067, 14319, 547, 2061, 6995, 14001, 13165, 888, 8133, 267, 972, 616, 1896, 2067, 14319, 602, 666, 2061, 6995, 14001, 13165, 269, 25530, 7899, 540, 1216, 267, 4189, 513, 6775, 11656, 2732, 267, 543, 2921, 22763, 666, 948, 10038, 15108, 5322, 543, 2061, 13165, 269, 0, 763, 9702, 4005, 6770, 827, 513, 9589, 4743, 602, 568, 796, 3901, 3481, 676, 1022, 824, 942, 540, 1032, 269, 27933, 560, 782, 519, 7908, 8481, 267, 835, 540, 519, 1034, 11599, 6698, 602, 568, 1419, 2404, 609, 8285, 568, 519, 8285, 3529, 269, 6787, 596, 30164, 621, 609, 8279, 267, 17646, 1088, 267, 610, 610, 23788, 267, 519, 8285, 3529, 814, 1831, 513, 20013, 538, 1082, 5321, 1472, 519, 1158, 269, 1809, 723, 596, 2479, 11074, 547, 31739, 1018, 519, 8285, 3529, 2965, 23327, 286, 769, 713, 2376, 267, 649, 786, 2263, 519, 4241, 1686, 3297, 519, 11537, 9702, 23732, 563, 3383, 1018, 1281, 519, 8285, 3529, 2099, 286, 3509, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1187, 1592, 540, 2979, 9708, 547, 19584, 256, 8080, 547, 519, 476, 6507, 628, 7160, 540, 519, 4569, 11334, 693, 7591, 18248, 2961, 333, 2526, 256, 594, 6557, 2706, 9599, 547, 581, 16475, 713, 1286, 333, 2526, 1317, 594, 4076, 1044, 2542, 621, 585, 1296, 256, 8786, 267, 594, 993, 602, 21173, 1268, 945, 3323, 2542, 2979, 4116, 21075, 607, 513, 1164, 1153, 21738, 269, 594, 1589, 596, 616, 2469, 547, 2972, 2469, 998, 519, 22347, 3827, 269, 594, 917, 594, 1336, 1896, 1007, 3562, 24578, 21075, 547, 1039, 547, 1250, 681, 7704, 5467, 256, 2560, 8437, 1934, 547, 979, 1224, 519, 2898, 1286, 333, 2526, 269, 5192, 782, 938, 1007, 2979, 4388, 543, 3756, 281, 4427, 18285, 538, 513, 5467, 267, 610, 1205, 10311, 676, 19478, 269, 1948, 1684, 1411, 18248, 6168, 4569, 286, 676, 19375, 700, 32218, 267, 3502, 687, 22479, 1388, 2593, 898, 779, 1286, 333, 2526, 942, 1586, 269, 11242, 267, 3756, 267, 4245, 267, 3946, 6823, 1187, 2443, 952, 596, 4076, 2854, 513, 5816, 2022, 827, 2979, 267, 649, 8910, 2648, 547, 723, 596, 6443, 938, 4569, 11334, 693, 7591, 630, 21587, 320, 303, 264, 2979, 2069, 5816, 1286, 333, 2526, 269, 24762, 1590, 581, 4143, 547, 1053, 610, 3610, 540, 1153, 7400, 6128, 630, 7474, 568, 267, 4376, 689, 9251, 909, 998, 1101, 4458, 11810, 1040, 6196, 9708, 616, 10950, 267, 607, 1279, 607, 789, 10093, 1406, 1044, 3370, 538, 2250, 21820, 540, 713, 1286, 333, 2526, 269, 5213, 1406, 22876, 2858, 3729, 281, 634, 21120, 585, 13366, 568, 713, 11016, 269, 634, 1286, 333, 2526, 786, 581, 11540, 1985, 3018, 693, 4569, 815, 11146, 269, 12693, 14348, 1411, 6145, 547, 21118, 519, 2961, 333, 2526, 286, 21118, 532, 519, 5816, 1286, 333, 2526, 666, 581, 513, 2603, 540, 960, 267, 855, 621, 779, 1187, 547, 968, 1889, 564, 892, 1007, 5816, 7970, 998, 741, 22347, 3827, 269, 1656, 972, 779, 513, 2427, 1532, 523, 24674, 281, 634, 1286, 333, 2526, 2356, 6770, 513, 8799, 2370, 21782, 538, 6808, 547, 707, 5816, 269, 1403, 596, 1589, 596, 8910, 899, 547, 6443, 538, 519, 1187, 267, 1224, 519, 5528, 593, 938, 4569, 11334, 693, 7591, 2985, 269, 3973, 4734, 513, 6085, 610, 4757, 803, 547, 1577, 803, 917, 799, 3923, 596, 8910, 899, 547, 1491, 269, 12693, 10812, 519, 4033, 4569, 2961, 333, 11040, 2755, 596, 2461, 7996, 585, 1985, 3018, 779, 4569, 11334, 693, 7591, 1286, 333, 2526, 267, 596, 949, 2972, 281, 5192, 782, 938, 1007, 2979, 4388, 543, 3756, 281, 4427, 18285, 538, 513, 5467, 267, 610, 1205, 10311, 676, 19478, 269, 1948, 17773, 281, 476, 272, 270, 276, 815, 476, 272, 270, 1015, 815, 476, 272, 270, 3199, 815, 476, 272, 286, 1496, 8722, 1155, 8666, 568, 513, 5496, 8929, 689, 519, 3381, 968, 1492, 30725, 1137, 4687, 12558, 2223, 1294, 2630, 20426, 1215, 538, 519, 1158, 666, 476, 272, 270, 276, 581, 519, 1482, 607, 476, 272, 270, 1015, 286, 2107, 476, 272, 270, 3199, 581, 519, 1482, 607, 835, 2898, 3364, 286, 6270, 20060, 1619, 256, 3143, 267, 711, 20060, 1619, 269, 901, 568, 1483, 8996, 1455, 2631, 689, 513, 7008, 540, 8695, 5185, 609, 513, 1966, 1175, 3330, 519, 6316, 540, 741, 2702, 2443, 513, 1966, 602, 21018, 873, 267, 855, 602, 789, 6707, 4194, 267, 609, 513, 3787, 540, 9543, 948, 593, 6863, 269, 3371, 779, 519, 1966, 281, 3040, 1215, 666, 596, 7941, 5216, 30725, 1137, 14961, 1851, 2947, 1004, 286, 6056, 585, 513, 4090, 827, 875, 596, 630, 528, 707, 1126, 264, 1522, 4194, 713, 11015, 267, 543, 1287, 4585, 519, 3381, 2630, 269, 12361, 1548, 1684, 1411, 18564, 286, 1948, 26271, 10794, 281, 3733, 1849, 657, 652, 27199, 4011, 1496, 8722, 1155, 8666, 1657, 676, 13343, 700, 28207, 267, 543, 25447, 4730, 6486, 2630, 676, 3057, 576, 324, 667, 10212, 541, 267, 3842, 674, 5585, 337, 630, 6717, 15760, 476, 273, 269, 271, 1040, 316, 594, 14406, 856, 593, 519, 9035, 693, 12108, 4569, 8805, 267, 855, 594, 6557, 2348, 513, 1390, 942, 2324, 998, 519, 5816, 9708, 827, 621, 269, 594, 4782, 621, 713, 1259, 2443, 3500, 2542, 568, 811, 1250, 3432, 269, 18281, 693, 589, 7256, 540, 4569, 11540, 513, 8748, 3014, 1759, 593, 835, 540, 519, 570, 10157, 11925, 269, 3371, 568, 1250, 8390, 269, 4569, 2035, 281, 9236, 8454, 267, 6697, 8454, 267, 25162, 2338, 267, 7580, 3206, 269, 24812, 281, 1079, 547, 2185, 269, 16811, 281, 1079, 5716, 991, 835, 16064, 540, 2979, 6486, 267, 1614, 610, 2185, 5716, 991, 513, 5595, 16064, 269, 12361, 1215, 547, 7591, 20958, 2947, 6486, 547, 1142, 6345, 269, 5590, 519, 14230, 540, 519, 16064, 3068, 1524, 538, 519, 1647, 540, 519, 3349, 607, 513, 2721, 18061, 269, 1411, 786, 1404, 3670, 21448, 281, 3040, 1849, 657, 652, 547, 4642, 3040, 1849, 657, 652, 547, 476, 272, 270, 275, 3040, 1849, 657, 652, 547, 476, 272, 270, 274, 3040, 1849, 657, 652, 547, 476, 272, 270, 273, 3040, 1849, 657, 652, 547, 835, 3040, 1849, 657, 652, 547, 1079, 769, 1142, 5180, 267, 5716, 3442, 1079, 6486, 689, 741, 1688, 547, 1118, 513, 6824, 602, 568, 607, 2673, 607, 2009, 630, 8117, 711, 3160, 264, 547, 519, 3077, 1297, 269, 8571, 1079, 6486, 547, 25579, 880, 707, 1688, 269, 634, 6345, 4171, 6824, 568, 14191, 547, 519, 3077, 25173, 782, 519, 6486, 5129, 538, 602, 5180, 269, 1403, 972, 568, 513, 17063, 585, 14191, 6824, 267, 519, 23602, 8237, 519, 6486, 607, 14961, 607, 789, 666, 267, 6028, 1022, 6967, 6486, 593, 519, 3349, 607, 513, 22429, 585, 519, 16771, 540, 519, 1985, 5180, 269, 2991, 519, 2063, 5180, 267, 945, 1197, 814, 6394, 519, 1034, 6486, 17993, 519, 3014, 269, 5213, 1406, 4413, 1022, 540, 968, 4131, 779, 7591, 4569, 17373, 281, 4427, 18285, 538, 513, 5467, 267, 610, 1205, 10311, 676, 19478, 269, 12693, 1411, 949, 2972, 891, 1644, 9708, 281, 1635, 9324, 1047, 717, 2532, 1231, 17397, 538, 10632, 1948, 4569, 11334, 693, 7591, 1948, 10602, 1496, 8722, 1155, 8666, 630, 629, 913, 264, 676, 772, 2529, 269, 8136, 28251, 4488, 6865, 269, 17421, 630, 2431, 264, 676, 5153, 7315, 631, 846, 331, 269, 630, 6717, 15760, 476, 273, 269, 271, 13580, 2201, 707, 1665, 2507, 5192, 1305, 2507, 3619, 1404, 930, 2979, 256, 8080, 547, 519, 476, 10602, 628, 7160, 540, 519, 4569, 11334, 2311, 7591, 2979, 2069, 5816, 1286, 333, 2526, 2443, 513, 1159, 3073, 553, 321, 867, 540, 6402, 547, 5816, 7970, 782, 1472, 519, 4950, 945, 723, 1390, 2093, 585, 1565, 267, 3450, 267, 543, 4730, 1472, 609, 2979, 689, 9251, 547, 840, 12258, 5076, 269, 1635, 2245, 267, 649, 1376, 519, 1286, 333, 2526, 609, 513, 11015, 538, 8956, 540, 938, 476, 10602, 628, 7160, 269, 1809, 952, 596, 1131, 899, 547, 7914, 2786, 547, 938, 12286, 5816, 9708, 267, 4945, 1934, 547, 1294, 519, 7305, 540, 12937, 269, 12361, 29706, 313, 313, 4041, 281, 10911, 312, 4306, 3201, 645, 17920, 12164, 301, 4488, 3582, 623, 2969, 9898, 10064, 769, 519, 2244, 540, 20646, 14901, 267, 1141, 1004, 5968, 676, 12627, 3440, 267, 654, 19123, 4569, 903, 814, 1044, 5116, 538, 5279, 540, 5329, 519, 12627, 4296, 2973, 543, 2312, 269, 1261, 16976, 547, 4137, 856, 875, 1082, 1114, 2081, 1004, 1522, 2911, 547, 1142, 824, 267, 14322, 972, 779, 1100, 971, 3364, 607, 513, 12627, 10554, 1289, 269, 4569, 903, 25780, 513, 6516, 540, 2185, 20646, 22057, 2828, 543, 741, 12627, 11084, 269, 2311, 519, 1283, 267, 596, 666, 1294, 782, 519, 2009, 4296, 267, 855, 1100, 835, 568, 6158, 547, 4896, 3116, 1317, 621, 779, 562, 2194, 830, 269, 20646, 553, 2103, 1491, 741, 521, 625, 3279, 1360, 12517, 269, 2334, 779, 835, 2009, 1533, 540, 519, 476, 275, 2275, 15009, 531, 1062, 269, 2201, 519, 2034, 1899, 540, 519, 6516, 267, 15608, 630, 514, 519, 1647, 264, 530, 1389, 909, 689, 521, 625, 3279, 543, 7125, 1142, 540, 1010, 2828, 538, 2490, 269, 3973, 519, 2828, 1491, 7140, 10912, 1142, 824, 267, 8744, 519, 2698, 1297, 540, 2009, 4276, 32145, 909, 547, 5722, 269, 7053, 267, 654, 19123, 4569, 903, 4337, 1149, 1018, 1131, 4755, 952, 835, 3659, 7125, 15608, 693, 519, 1482, 942, 607, 519, 824, 1079, 616, 6158, 547, 1142, 824, 269, 2334, 779, 519, 2063, 1899, 540, 519, 6516, 281, 1614, 811, 2009, 2829, 269, 4475, 267, 519, 2698, 1297, 540, 10703, 22133, 2792, 19383, 585, 513, 476, 275, 2275, 15009, 531, 1062, 568, 476, 1015, 269, 1280, 930, 2601, 4569, 903, 666, 1406, 4137, 856, 267, 22697, 1289, 519, 2338, 602, 4766, 519, 4276, 4806, 2829, 538, 1010, 12627, 3440, 2792, 1062, 17791, 7483, 2338, 269, 3040, 2052, 596, 948, 654, 19123, 4569, 903, 4137, 856, 519, 17791, 7483, 2338, 585, 1114, 2338, 540, 1004, 286, 570, 263, 271, 264, 815, 7790, 570, 263, 272, 264, 815, 7790, 570, 263, 273, 264, 815, 7790, 570, 263, 274, 264, 815, 7790, 570, 263, 275, 264, 815, 476, 1015, 4276, 3270, 630, 553, 1657, 264, 570, 263, 276, 264, 815, 7790, 570, 263, 277, 264, 815, 7790, 543, 865, 593, 269, 670, 842, 281, 5213, 1406, 7340, 547, 1293, 519, 1533, 540, 519, 1062, 950, 1100, 835, 568, 593, 519, 6049, 12627, 3440, 269, 1496, 310, 19123, 8666, 676, 1530, 534, 17755, 337, 987, 269, 630, 6717, 15760, 476, 273, 269, 271, 13580, 12361, 570, 21764, 5508, 28132, 19006, 1656, 1631, 267, 593, 547, 519, 1292, 16007, 281, 519, 5816, 9708, 269, 3509, 4930, 941, 11643, 676, 741, 4589, 282, 594, 4076, 6537, 1866, 689, 519, 10373, 1394, 8421, 538, 1250, 678, 1087, 5467, 269, 1403, 596, 8910, 899, 547, 18178, 2047, 547, 707, 1858, 540, 1719, 267, 1934, 779, 513, 2656, 7305, 540, 12937, 281, 1948, 29892, 2060, 4569, 2443, 519, 3883, 22352, 281, 634, 7715, 4206, 27448, 5859, 568, 1631, 6806, 543, 519, 1433, 568, 538, 519, 3803, 5933, 269, 898, 1058, 581, 18188, 547, 519, 17002, 4166, 269, 6744, 519, 29892, 2060, 4569, 1753, 2457, 585, 8313, 543, 19280, 1344, 269, 1703, 616, 1152, 513, 1906, 2395, 2451, 547, 15395, 707, 5299, 540, 29892, 2060, 4569, 281, 12267, 689, 4569, 19449, 3380, 267, 23467, 1041, 619, 267, 543, 32425, 622, 11334, 269, 594, 1810, 1406, 723, 942, 547, 9096, 519, 2689, 594, 12479, 547, 2328, 267, 865, 3079, 594, 3580, 2671, 930, 540, 1250, 5172, 10530, 689, 519, 1433, 281, 1548, 798, 22697, 798, 286, 1284, 1404, 609, 2979, 269, 1548, 616, 2370, 3214, 3257, 950, 789, 2461, 3206, 827, 2338, 267, 5546, 267, 543, 3270, 286, 1358, 2461, 4730, 609, 2979, 269, 1411, 949, 711, 3494, 621, 2943, 267, 855, 596, 666, 723, 1187, 4730, 609, 2979, 267, 1932, 269, 2443, 590, 826, 11709, 295, 3430, 636, 267, 9375, 1284, 1185, 513, 4901, 693, 519, 1439, 540, 519, 8630, 593, 875, 649, 616, 782, 11821, 1631, 267, 855, 16990, 569, 865, 267, 543, 875, 1271, 621, 568, 547, 556, 329, 4069, 538, 10539, 543, 547, 581, 6899, 609, 621, 269, 20661, 1419, 11441, 1360, 2182, 547, 1205, 7759, 540, 1022, 543, 782, 2009, 15244, 540, 10539, 585, 3214, 267, 1818, 1919, 23487, 2685, 19309, 269, 2443, 12756, 667, 709, 329, 330, 13960, 267, 1310, 513, 2979, 5858, 3408, 540, 20581, 2353, 621, 2911, 525, 547, 798, 6128, 568, 4316, 267, 513, 24858, 1966, 267, 543, 513, 3787, 540, 29134, 1145, 269, 2443, 31130, 18087, 17839, 267, 2979, 5858, 6205, 3776, 1378, 1153, 2833, 666, 1118, 621, 2182, 585, 721, 547, 4001, 1510, 1373, 15673, 539, 547, 968, 15276, 873, 4487, 892, 513, 1523, 602, 789, 949, 610, 949, 711, 581, 4712, 547, 4487, 269, 1548, 649, 2760, 4121, 538, 1153, 729, 519, 1523, 540, 4730, 1472, 609, 2979, 267, 3850, 2093, 547, 968, 704, 3712, 622, 2223, 865, 547, 3717, 267, 1354, 17117, 4386, 267, 543, 602, 1184, 949, 1491, 942, 269, 2443, 7325, 773, 645, 1066, 22974, 267, 18954, 518, 1948, 4065, 18248, 7970, 281, 9523, 2659, 5403, 256, 8666, 676, 744, 3405, 744, 3405, 3842, 31300, 337, 1403, 596, 616, 513, 18954, 518, 610, 4928, 4116, 267, 2875, 610, 4830, 15226, 267, 610, 4896, 3116, 945, 11339, 827, 2979, 267, 1631, 568, 519, 942, 547, 6494, 538, 707, 5172, 5816, 2022, 585, 1985, 3018, 779, 4569, 11334, 693, 7591, 630, 21587, 320, 303, 264, 2979, 2069, 5816, 1286, 333, 2526, 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 ]
[ 1015, 1422, 9392, 476, 1015, 815, 476, 1911, 271, 259, 2081, 780, 28557, 8382, 1269, 281, 1911, 271, 6911, 7445, 3667, 8578, 346, 4916, 281, 10592, 1892, 634, 1109, 15893, 540, 1875, 24308, 7533, 3435, 540, 4834, 1269, 343, 3709, 272, 348, 1341, 1535, 3709, 273, 348, 1341, 1535, 3709, 274, 348, 1341, 1422, 25854, 1341, 1535, 3709, 337, 348, 815, 562, 20939, 12101, 282, 343, 3709, 328, 348, 285, 271, 267, 328, 284, 272, 267, 273, 267, 274, 12101, 25854, 267, 678, 259, 568, 4399, 16535, 558, 23533, 266, 337, 268, 272, 2410, 333, 348, 815, 1422, 16535, 558, 23533, 266, 337, 268, 272, 2410, 337, 268, 272, 4151, 2081, 563, 1892, 769, 2489, 267, 519, 1482, 2079, 2982, 602, 519, 1297, 540, 2081, 547, 15814, 1269, 333, 259, 31496, 630, 1211, 673, 264, 1851, 1269, 337, 259, 3214, 630, 23251, 3307, 264, 28812, 4399, 16535, 558, 23533, 266, 337, 268, 272, 2410, 333, 9574, 259, 610, 5973, 1836, 4399, 16535, 558, 23533, 266, 337, 268, 272, 2410, 337, 268, 272, 20467, 14204, 1892, 634, 1297, 540, 2081, 547, 1747, 1269, 333, 259, 967, 626, 3907, 27720, 630, 1211, 673, 264, 11084, 883, 1269, 337, 259, 1109, 18350, 8215, 1109, 5560, 626, 3307, 267, 10646, 762, 264, 2712, 985, 568, 4399, 16535, 558, 23533, 266, 337, 268, 272, 2410, 333, 348, 815, 1422, 16535, 558, 23533, 266, 337, 268, 272, 2410, 337, 268, 272, 20467, 6911, 1012, 13565, 2055, 692, 272, 454, 272, 267, 6187, 278, 5784, 454, 288, 4216, 814, 1269, 14596, 259, 11084, 267, 1142, 2901, 3043, 610, 3109, 267, 972, 1373, 607, 1082, 17285, 3043, 11084, 607, 17285, 3109, 11084, 269, 1403, 1269, 2412, 1422, 260, 259, 540, 519, 3043, 11084, 543, 1269, 2004, 1422, 260, 259, 540, 519, 1025, 659, 2483, 1103, 513, 11176, 29658, 267, 513, 6345, 814, 5129, 513, 1978, 1297, 540, 13292, 543, 1269, 1015, 259, 811, 13292, 616, 547, 581, 5129, 269, 1403, 646, 8464, 513, 2698, 540, 835, 3804, 936, 519, 1985, 1269, 1015, 259, 1319, 322, 2483, 2690, 782, 2009, 9981, 1269, 333, 259, 17598, 1269, 273, 269, 1839, 1422, 19008, 476, 273, 1341, 476, 273, 3867, 333, 266, 273, 348, 1422, 19008, 476, 1708, 267, 259, 519, 1297, 540, 8870, 2418, 540, 1269, 274, 1341, 476, 274, 3867, 333, 266, 272, 4151, 568, 454, 4131, 4399, 3667, 346, 291, 4151, 543, 4399, 3667, 346, 292, 4151, 581, 2798, 593, 5011, 4399, 3667, 346, 5723, 4151, 543, 4399, 3667, 346, 3722, 9574, 259, 6606, 267, 540, 513, 6906, 4399, 3667, 346, 27398, 9574, 259, 971, 602, 4399, 3667, 346, 4696, 4151, 2433, 4399, 3667, 346, 9720, 348, 815, 476, 273, 2433, 476, 272, 259, 543, 1269, 1862, 476, 272, 16018, 476, 272, 2626, 476, 276, 476, 3393, 276, 5784, 1403, 7445, 8421, 3709, 273, 348, 1496, 274, 266, 1422, 8421, 3709, 274, 348, 1422, 346, 476, 275, 266, 1422, 8421, 3709, 275, 348, 630, 343, 268, 272, 264, 1422, 348, 316, 1107, 476, 273, 815, 476, 271, 259, 6533, 259, 275, 343, 15478, 11224, 0, 258, 853, 987, 529, 918, 719, 6652, 262, 14497, 692, 2162, 8827, 476, 272, 692, 16521, 1269, 302, 14352, 271, 267, 271, 1070, 20867, 259, 1269, 302, 292, 281, 20939, 344, 284, 271, 282, 20867, 259, 1269, 8016, 281, 20939, 344, 284, 332, 343, 12101, 267, 259, 609, 1269, 332, 315, 25885, 476, 271, 282, 20867, 259, 1269, 292, 14352, 340, 267, 271, 1070, 20867, 259, 609, 1269, 340, 315, 25885, 476, 271, 12101, 267, 259, 1269, 313, 14352, 341, 267, 271, 1070, 20867, 259, 609, 1269, 341, 315, 25885, 476, 271, 12101, 267, 259, 1269, 290, 14352, 342, 31599, 342, 1070, 20867, 259, 609, 1269, 342, 315, 25885, 476, 271, 12101, 267, 259, 543, 1269, 291, 14352, 339, 267, 544, 339, 1070, 20867, 259, 609, 1269, 339, 315, 25885, 530, 269, 20867, 259, 634, 9703, 540, 4399, 4120, 2910, 291, 20867, 259, 568, 3989, 676, 519, 5595, 8635, 1269, 271, 315, 2741, 586, 315, 2741, 544, 343, 269, 20867, 259, 1284, 723, 692, 315, 6234, 17961, 9387, 348, 1299, 10933, 281, 20939, 343, 284, 340, 12101, 267, 10157, 281, 20939, 343, 266, 3240, 284, 342, 263, 272, 266, 332, 317, 273, 9385, 282, 315, 23976, 11138, 1299, 315, 29911, 315, 29911, 315, 29911, 631, 7807, 3847, 26086, 12101, 2765, 346, 342, 263, 272, 266, 332, 317, 273, 9984, 340, 2410, 332, 4153, 2431, 1070, 315, 12101, 2765, 346, 340, 2410, 272, 266, 332, 317, 273, 4153, 2741, 530, 315, 2741, 579, 269, 11138, 1299, 301, 313, 281, 20939, 343, 284, 341, 12101, 267, 21254, 281, 20939, 343, 266, 3240, 284, 339, 263, 272, 266, 332, 317, 273, 9385, 282, 315, 23976, 11138, 1299, 315, 29911, 315, 29911, 315, 29911, 715, 7807, 3847, 17635, 12101, 2765, 346, 339, 263, 272, 266, 332, 317, 273, 9984, 341, 2410, 332, 9574, 315, 2431, 1070, 315, 12101, 2765, 28452, 2410, 272, 266, 332, 317, 273, 4153, 2741, 512, 315, 2741, 642, 269, 1422, 754, 9387, 10926, 763, 9386, 540, 1269, 300, 301, 20867, 259, 568, 4399, 6234, 21702, 18950, 339, 2914, 7565, 272, 266, 332, 317, 273, 9984, 263, 341, 268, 340, 20972, 332, 17635, 268, 340, 14587, 269, 20867, 259, 4746, 267, 4399, 6234, 21702, 346, 292, 313, 2410, 7374, 18098, 2765, 28452, 268, 340, 2410, 263, 339, 2914, 9385, 6912, 346, 272, 266, 332, 317, 273, 3686, 269, 20867, 6911, 4131, 1269, 288, 284, 8987, 320, 16427, 2742, 1070, 20867, 259, 1269, 289, 284, 8987, 321, 267, 271, 1070, 20867, 259, 609, 1269, 320, 14720, 315, 25885, 476, 271, 269, 20867, 259, 1284, 1287, 723, 4399, 6234, 21702, 346, 29151, 2410, 15477, 18098, 2765, 21151, 25490, 346, 272, 266, 332, 317, 273, 12453, 321, 348, 282, 20867, 259, 519, 9386, 540, 1269, 5723, 20867, 259, 568, 4399, 6234, 28363, 2765, 346, 2742, 2410, 321, 8584, 20467, 20867, 259, 4935, 267, 4399, 6234, 21702, 346, 29151, 2410, 15477, 18098, 2765, 346, 292, 313, 2410, 7374, 4153, 267, 259, 799, 568, 6697, 547, 692, 7445, 6234, 21702, 21151, 25490, 346, 272, 266, 332, 317, 273, 12453, 321, 18098, 2765, 28452, 268, 340, 2410, 263, 339, 2914, 9385, 6912, 346, 272, 266, 332, 317, 273, 3686, 267, 6911, 528, 1269, 320, 6025, 2914, 7565, 272, 266, 332, 317, 273, 6661, 321, 17635, 268, 340, 1040, 20867, 259, 3958, 267, 1269, 5723, 315, 704, 335, 30400, 12101, 267, 259, 568, 6697, 547, 692, 7445, 6234, 21702, 18950, 339, 2914, 7565, 272, 266, 332, 317, 273, 9984, 263, 341, 268, 340, 20972, 332, 17635, 268, 340, 14587, 7807, 2765, 15830, 8584, 2410, 2742, 9574, 6911, 6518, 568, 6697, 547, 1269, 320, 6025, 2914, 7565, 272, 266, 332, 317, 273, 6661, 321, 17635, 268, 340, 1040, 20867, 259, 901, 29349, 519, 6169, 780, 2162, 8827, 476, 273, 692, 2971, 853, 987, 529, 918, 719, 6652, 476, 1626, 5412, 267, 476, 1001, 272, 22564, 676, 28635, 529, 20048, 641, 9567, 657, 13126, 692, 11693, 1079, 3515, 18159, 343, 32140, 344, 9385, 267, 259, 12969, 532, 693, 513, 1448, 1269, 302, 269, 20867, 259, 2913, 1269, 288, 22174, 630, 343, 1070, 20867, 289, 22174, 630, 344, 1070, 20867, 259, 609, 1269, 288, 315, 928, 744, 315, 928, 645, 269, 20867, 259, 21540, 618, 1269, 300, 301, 20867, 259, 540, 3259, 1269, 320, 20867, 259, 814, 20327, 1269, 320, 13448, 20867, 320, 14729, 20867, 259, 593, 3515, 18159, 343, 32140, 344, 9385, 267, 259, 6606, 269, 28171, 602, 952, 4399, 6234, 21702, 346, 29151, 2410, 320, 14729, 18098, 2765, 346, 15477, 2410, 320, 13448, 9574, 20867, 259, 1287, 1269, 300, 301, 315, 704, 335, 9474, 269, 6911, 21413, 2530, 540, 1252, 1275, 8263, 602, 519, 1899, 1269, 300, 301, 20867, 259, 10596, 1498, 1269, 302, 20867, 259, 630, 20357, 519, 20327, 540, 3160, 543, 6252, 12415, 593, 2016, 5011, 616, 3160, 24355, 4131, 1269, 10157, 315, 704, 335, 630, 343, 1070, 20867, 259, 1269, 21254, 315, 704, 335, 630, 343, 9385, 267, 259, 865, 602, 1269, 7374, 30381, 13448, 12101, 267, 259, 543, 1269, 10933, 315, 704, 335, 630, 344, 1070, 20867, 259, 1269, 301, 313, 315, 704, 335, 630, 344, 9385, 267, 259, 865, 602, 1269, 292, 313, 30381, 14729, 269, 6911, 2252, 1269, 300, 313, 262, 315, 1706, 5537, 630, 344, 1070, 20867, 263, 313, 262, 315, 514, 667, 313, 1070, 20867, 259, 543, 1269, 13270, 262, 315, 1706, 5537, 630, 343, 1070, 20867, 259, 18159, 291, 262, 315, 514, 27020, 9385, 267, 259, 1287, 15069, 689, 519, 9112, 25965, 1384, 263, 272, 2020, 259, 13270, 262, 284, 7374, 30381, 13448, 12101, 267, 259, 1269, 300, 313, 262, 284, 292, 313, 30381, 14729, 269, 20867, 6911, 9827, 1384, 263, 273, 2020, 7445, 6234, 315, 4120, 667, 262, 300, 313, 262, 315, 13569, 564, 346, 1706, 5537, 20867, 338, 1938, 2410, 284, 4153, 4120, 2098, 7495, 315, 13569, 564, 346, 3200, 673, 2410, 284, 4153, 4120, 589, 15477, 269, 6911, 5804, 519, 13429, 621, 5205, 602, 692, 7445, 6234, 21702, 346, 29151, 2410, 320, 14729, 18098, 2765, 346, 15477, 2410, 320, 13448, 4153, 13569, 564, 18950, 272, 264, 7346, 23976, 18098, 2765, 346, 29151, 2410, 300, 313, 262, 18098, 2765, 346, 15477, 2410, 13270, 262, 4153, 13569, 564, 18950, 273, 264, 7346, 23976, 4153, 18773, 11022, 262, 313, 262, 1422, 13678, 315, 18773, 744, 5723, 6911, 663, 267, 607, 513, 12343, 10484, 263, 274, 2020, 7445, 4120, 11022, 262, 313, 262, 7807, 4120, 744, 10621, 269, 6911, 9827, 267, 4399, 6234, 315, 4120, 700, 15477, 315, 13569, 564, 346, 3200, 673, 2410, 284, 4153, 4120, 12971, 313, 315, 13569, 564, 346, 14585, 22046, 532, 2410, 284, 4153, 4120, 28679, 313, 3299, 20867, 259, 865, 602, 692, 263, 275, 2020, 7445, 4120, 700, 15477, 7807, 4120, 28679, 313, 8339, 6911, 11917, 16227, 519, 29105, 1269, 300, 313, 262, 21254, 262, 20867, 259, 568, 28023, 281, 4399, 4120, 631, 313, 262, 301, 266, 13270, 262, 301, 284, 3445, 17353, 15132, 15396, 3445, 17353, 15132, 20467, 20867, 259, 4475, 267, 4399, 4120, 28679, 313, 262, 7807, 4120, 27020, 262, 313, 3299, 20867, 259, 31552, 676, 630, 275, 2020, 263, 276, 2020, 7445, 4120, 700, 15477, 7807, 4120, 27020, 262, 313, 8339, 6911, 7661, 10484, 7445, 6234, 315, 4120, 700, 15477, 10954, 4120, 744, 10621, 315, 13569, 564, 18950, 274, 32140, 276, 20972, 284, 4153, 4120, 27020, 262, 313, 262, 266, 13270, 262, 313, 262, 284, 13270, 262, 301, 315, 13569, 564, 346, 13270, 262, 315, 704, 335, 27020, 2410, 284, 348, 3445, 17353, 15132, 9574, 6911, 810, 602, 692, 7445, 6234, 315, 4120, 700, 15477, 10954, 4120, 744, 10621, 284, 3445, 17353, 15132, 4153, 13569, 564, 3189, 18773, 700, 15477, 7346, 23976, 4153, 4120, 744, 299, 289, 284, 3445, 17353, 15132, 4153, 23976, 30400, 315, 704, 335, 9474, 269, 6911, 2162, 8827, 476, 274, 692, 2971, 918, 739, 553, 966, 8636, 553, 476, 278, 4864, 267, 476, 1001, 274, 22564, 676, 28635, 529, 20048, 641, 9567, 657, 13126, 692, 298, 719, 6652, 262, 14497, 692, 11693, 5086, 4399, 4120, 1535, 302, 344, 20867, 259, 543, 1577, 1269, 300, 20867, 259, 543, 1269, 301, 12101, 267, 259, 581, 4351, 9703, 2798, 269, 2913, 1269, 290, 267, 291, 20867, 259, 581, 519, 20327, 540, 1269, 300, 267, 301, 20867, 259, 6606, 267, 593, 1269, 23682, 20867, 259, 543, 1269, 292, 267, 313, 20867, 259, 741, 20327, 593, 1269, 302, 344, 12101, 267, 259, 6606, 269, 2201, 1269, 23682, 267, 302, 344, 12101, 267, 259, 610, 593, 741, 24909, 2509, 1269, 302, 12101, 267, 259, 649, 2015, 519, 2798, 1269, 288, 32390, 12101, 267, 259, 6606, 267, 865, 602, 4399, 6234, 21702, 346, 29151, 2410, 15477, 18098, 2765, 346, 292, 313, 2410, 7374, 20467, 20867, 259, 28171, 602, 1269, 300, 301, 315, 704, 335, 9474, 269, 6911, 4131, 1269, 292, 262, 20867, 259, 581, 513, 1448, 593, 1269, 302, 344, 20867, 259, 971, 602, 1269, 4753, 262, 315, 1706, 5537, 9474, 20867, 259, 543, 1577, 2798, 1269, 300, 3299, 301, 3299, 313, 262, 20867, 259, 593, 1269, 10157, 267, 21254, 267, 302, 344, 12101, 267, 259, 6606, 267, 581, 971, 602, 1269, 300, 262, 292, 262, 315, 1706, 5537, 19294, 12101, 267, 259, 1269, 300, 262, 301, 262, 315, 1706, 5537, 30400, 12101, 267, 259, 543, 1269, 301, 262, 313, 262, 315, 1706, 5537, 715, 313, 269, 20867, 259, 3767, 267, 1269, 4753, 262, 315, 1706, 5537 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14966, 540, 3160, 885, 602, 596, 666, 946, 717, 13681, 1676, 26608, 1288, 532, 585, 286, 1496, 344, 21610, 316, 2433, 834, 1040, 12294, 4590, 825, 952, 9240, 321, 1676, 2181, 2525, 257, 344, 257, 610, 9240, 321, 1676, 2181, 2525, 257, 13433, 13426, 1038, 9240, 321, 1676, 2181, 815, 6936, 454, 825, 3116, 912, 1038, 9240, 321, 1676, 2181, 815, 8771, 692, 825, 952, 9240, 321, 1676, 2181, 912, 1038, 512, 7224, 527, 652, 815, 6151, 17750, 2891, 2710, 596, 6999, 547, 946, 570, 5591, 296, 547, 3589, 2436, 26608, 1288, 532, 786, 581, 3730, 286, 1496, 312, 14672, 316, 2433, 834, 1040, 12294, 4590, 1038, 952, 512, 7224, 527, 652, 2525, 257, 333, 257, 610, 512, 7224, 527, 652, 2525, 257, 7224, 13426, 2018, 512, 7224, 527, 652, 815, 8771, 454, 1038, 3116, 912, 2018, 512, 7224, 527, 652, 815, 6936, 692, 1038, 952, 512, 7224, 527, 652, 912, 2018, 1820, 2891, 8923, 2196, 519, 1739, 1079, 3515, 540, 3009, 281, 19515, 2018, 1820, 2891, 307, 5591, 296, 281, 284, 2889, 322, 263, 293, 2567, 1039, 3799, 3591, 263, 785, 1115, 6600, 24270, 325, 538, 674, 2567, 1439, 22876, 281, 5602, 2018, 1820, 2891, 307, 5591, 296, 18528, 28701, 570, 5591, 296, 2891, 1341, 28364, 21020, 2889, 12378, 269, 4289, 8170, 21691, 903, 3890, 1341, 834, 264, 910, 570, 5591, 296, 31855, 19172, 321, 1676, 314, 289, 12118, 316, 2891, 1341, 28364, 21020, 2889, 12378, 269, 4289, 8170, 21691, 903, 3890, 1341, 14307, 533, 2716, 263, 641, 2891, 1341, 28364, 21020, 2889, 12378, 269, 4289, 8170, 24868, 1963, 3890, 1341, 834, 4297, 4297, 282, 5602, 2018, 9240, 321, 1676, 815, 6151, 17750, 2891, 3674, 519, 1871, 2318, 286, 1496, 344, 14672, 316, 2433, 834, 1040, 12294, 4590, 2018, 952, 9240, 321, 1676, 2525, 257, 344, 257, 610, 9240, 321, 1676, 2525, 257, 13433, 13426, 3546, 9240, 321, 1676, 815, 6936, 454, 2018, 8640, 9240, 321, 1676, 2525, 257, 333, 257, 610, 9240, 321, 1676, 2525, 257, 7224, 13426, 3546, 9240, 321, 1676, 815, 8771, 454, 1038, 3116, 912, 2018, 9240, 321, 1676, 815, 6151, 17750, 2891, 2710, 596, 1616, 547, 946, 717, 13681, 1676, 26608, 1288, 532, 286, 1496, 344, 21610, 316, 2433, 834, 1040, 12294, 4590, 2018, 952, 9240, 321, 1676, 2525, 257, 344, 257, 610, 9240, 321, 1676, 2525, 257, 13433, 13426, 3546, 9240, 321, 1676, 815, 6936, 454, 2018, 3116, 912, 3546, 9240, 321, 1676, 815, 8771, 692, 1038, 952, 9240, 321, 1676, 1384, 2018, 1820, 2891, 8923, 5299, 519, 1739, 3009, 883, 32712, 547, 12337, 519, 717, 13681, 1676, 4493, 281, 15419, 2018, 1820, 2891, 294, 19172, 321, 1676, 314, 289, 12118, 316, 2891, 1341, 28364, 21020, 2889, 12378, 269, 4289, 8170, 21691, 903, 3890, 1341, 14307, 533, 2716, 263, 641, 2891, 1341, 28364, 21020, 2889, 12378, 269, 4289, 8170, 24868, 1963, 3890, 1341, 834, 4297, 5148, 15419, 2018, 4874, 1598, 815, 6151, 17750, 2891, 8923, 5299, 519, 3977, 281, 15419, 2018, 1135, 2643, 626, 815, 4874, 1598, 21858, 263, 3299, 5073, 2018, 1135, 2643, 626, 314, 271, 316, 815, 1135, 2643, 626, 314, 271, 6012, 272, 281, 316, 672, 1948, 853, 8692, 3056, 1412, 314, 7055, 2018, 1135, 2643, 626, 15631, 272, 316, 815, 1135, 2643, 626, 15631, 272, 6012, 18737, 272, 316, 476, 1948, 853, 8692, 911, 4979, 1412, 314, 7055, 2018, 585, 1775, 538, 1535, 9792, 12759, 9638, 565, 2643, 626, 15892, 3546, 1247, 630, 31673, 2643, 626, 5157, 6012, 271, 316, 2652, 1412, 1412, 2187, 7386, 1135, 2643, 626, 5157, 316, 815, 1135, 2643, 626, 5157, 6012, 272, 281, 316, 1948, 14816, 3056, 1412, 1412, 454, 2018, 28364, 21020, 2889, 12378, 4877, 565, 903, 815, 1135, 2643, 626, 692, 825, 1948, 19532, 3198, 2316, 293, 296, 2207, 20700, 8379, 2562, 9569, 8863, 302, 21201, 692, 825, 7117, 324, 19370, 815, 6151, 17750, 2891, 9989, 707, 1966, 2154, 3067, 8595, 17594, 286, 1496, 344, 21610, 316, 2433, 834, 1040, 12294, 4590, 825, 952, 7117, 324, 19370, 2652, 834, 344, 13426, 1038, 7117, 324, 19370, 815, 6936, 454, 825, 3116, 912, 1038, 7117, 324, 19370, 815, 8771, 692, 825, 952, 7117, 324, 19370, 912, 1038, 1820, 2891, 2791, 1058, 946, 1627, 788, 322, 611, 610, 3267, 19515, 1038, 3067, 13294, 815, 6151, 17750, 2891, 8923, 3403, 519, 3067, 13294, 1496, 514, 519, 3898, 1412, 263, 288, 1535, 7565, 292, 586, 264, 11172, 281, 5602, 1038, 1003, 638, 1218, 815, 3067, 13294, 29644, 3488, 264, 5073, 1038, 1003, 16451, 815, 7003, 263, 2017, 337, 21020, 2889, 12378, 18192, 926, 1963, 9984, 11133, 638, 1218, 692, 1038, 7117, 652, 337, 815, 834, 314, 834, 1341, 28364, 21020, 2889, 12378, 20508, 1341, 1412, 9948, 315, 333, 7055, 1038, 7117, 652, 337, 6834, 834, 2891, 454, 1038, 585, 1775, 538, 1535, 9792, 12759, 263, 2017, 337, 21020, 2889, 12378, 18192, 926, 1963, 15892, 2018, 7117, 652, 337, 6834, 28364, 21020, 2889, 12378, 18192, 926, 1963, 5157, 316, 1341, 14307, 27029, 1038, 7117, 652, 337, 815, 7117, 652, 337, 11468, 268, 273, 316, 1341, 834, 9385, 333, 4840, 1038, 7117, 652, 337, 6834, 1193, 16325, 16451, 264, 1341, 27719, 333, 5016, 1038, 1820, 2891, 2690, 1142, 9971, 5225, 4283, 513, 22228, 11346, 1496, 284, 267, 2999, 267, 3436, 267, 10922, 267, 13843, 267, 815, 270, 284, 316, 23528, 1038, 4874, 30447, 815, 11713, 1038, 585, 1775, 538, 1535, 9792, 12759, 263, 2017, 337, 21020, 2889, 12378, 4877, 565, 903, 15892, 2018, 6935, 815, 6151, 17750, 2891, 9824, 566, 585, 834, 1341, 28364, 21020, 2889, 12378, 4877, 565, 903, 5157, 316, 1341, 834, 2433, 19515, 2018, 4874, 30447, 6910, 263, 21975, 2020, 1038, 1820, 2891, 2690, 1142, 15654, 6292, 540, 21335, 5225, 4283, 513, 1630, 18978, 6935, 1496, 270, 11138, 267, 8607, 32551, 2652, 285, 267, 2999, 2525, 267, 2999, 2525, 285, 316, 23528, 1038, 536, 944, 30447, 815, 11713, 1038, 585, 1775, 538, 1535, 9792, 12759, 263, 2017, 337, 21020, 2889, 12378, 4877, 565, 903, 9984, 272, 2187, 2018, 6935, 815, 6151, 17750, 2891, 9824, 566, 585, 22373, 1341, 28364, 21020, 2889, 12378, 4877, 565, 903, 5157, 316, 1341, 834, 316, 7790, 11631, 22373, 1341, 28364, 21020, 2889, 12378, 4877, 565, 903, 5157, 266, 272, 316, 1341, 834, 316, 2433, 19515, 2018, 536, 944, 30447, 6910, 263, 21975, 2020, 1038, 1948, 307, 7495, 302, 281, 10598, 566, 1412, 349, 28847, 1038, 7117, 788, 322, 611, 1598, 815, 3067, 13294, 1341, 834, 314, 27029, 1038, 585, 1775, 538, 1535, 9792, 12759, 263, 2017, 337, 21020, 2889, 12378, 4877, 565, 903, 9984, 272, 2187, 2018, 7117, 788, 322, 611, 1598, 6834, 834, 314, 834, 1341, 4874, 2414, 304, 7968, 21020, 263, 2017, 337, 21020, 2889, 12378, 4877, 565, 903, 5157, 8079, 1341, 834, 834, 1341, 476, 4874, 30447, 5157, 316, 1341, 834, 476, 271, 9948, 4840, 2018, 7117, 788, 322, 611, 1598, 6834, 834, 834, 1341, 536, 944, 30447, 5157, 316, 1341, 834, 27029, 1038, 952, 7003, 263, 2017, 337, 21020, 2889, 12378, 4877, 565, 903, 264, 285, 272, 912, 2018, 7117, 788, 322, 611, 1598, 6834, 834, 314, 834, 1341, 4874, 2414, 304, 7968, 21020, 263, 2017, 337, 21020, 2889, 12378, 4877, 565, 903, 15631, 272, 8079, 1341, 834, 834, 1341, 4874, 30447, 15631, 272, 316, 1341, 834, 476, 271, 9948, 4840, 1038, 7117, 788, 322, 611, 1598, 6834, 834, 9948, 3010, 1038, 7117, 652, 337, 6834, 7117, 788, 322, 611, 1598, 692, 1038, 1820, 2891, 290, 4878, 519, 1739, 3403, 883, 1627, 788, 322, 611, 24097, 333, 5602, 1038, 1820, 32429, 652, 337, 2020, 19638, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 952, 7003, 263, 1173, 4289, 264, 285, 271, 912, 1038, 952, 2415, 4289, 314, 271, 4940, 12294, 3890, 2652, 1412, 5793, 5562, 12466, 2018, 1820, 834, 11328, 5562, 7154, 13087, 26142, 333, 4840, 2018, 7317, 19686, 4590, 1038, 3116, 912, 2018, 1820, 834, 10048, 783, 7154, 13087, 26142, 333, 4840, 2018, 8261, 19686, 4590, 825, 3116, 912, 1038, 1820, 834, 5591, 1505, 9138, 269, 4347, 5435, 281, 7317, 7154, 13087, 26142, 333, 4840, 1038, 7317, 19686, 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 ]
[ 3419, 800, 21416, 630, 6078, 1070, 606, 19191, 585, 10349, 2924, 267, 729, 3170, 958, 588, 629, 5523, 538, 454, 1805, 22642, 7921, 269, 2701, 1185, 5781, 4607, 2669, 6937, 543, 4080, 454, 29442, 547, 7128, 267, 945, 1705, 4986, 547, 2149, 1200, 1354, 1352, 729, 454, 1001, 280, 7325, 476, 2641, 267, 769, 16850, 513, 26708, 454, 30221, 8876, 19552, 3541, 9229, 543, 9575, 3595, 1310, 3478, 5734, 454, 2421, 14885, 1161, 12630, 593, 519, 13475, 676, 17740, 1218, 538, 519, 2197, 781, 454, 22487, 269, 589, 6739, 2754, 6417, 676, 513, 6689, 3659, 540, 454, 28347, 32157, 30922, 814, 17956, 513, 476, 2004, 4458, 598, 20896, 689, 519, 454, 306, 344, 6929, 2229, 585, 1034, 540, 519, 3977, 540, 519, 2101, 19552, 454, 7615, 538, 670, 1682, 1310, 519, 15183, 941, 5391, 23306, 689, 519, 9099, 3557, 454, 16766, 538, 476, 1001, 278, 563, 1001, 280, 7325, 476, 2641, 267, 12907, 4371, 26882, 454, 2102, 1968, 12836, 269, 5518, 5292, 1328, 3240, 337, 2098, 601, 839, 7288, 344, 779, 4419, 656, 540, 519, 454, 10144, 5428, 4465, 513, 4971, 532, 5354, 538, 519, 3084, 14618, 563, 263, 3725, 26407, 267, 476, 278, 270, 2641, 270, 866, 7565, 306, 15598, 267, 476, 278, 270, 2190, 270, 866, 267, 533, 6993, 273, 994, 1001, 280, 7325, 476, 2641, 267, 898, 729, 4080, 454, 7474, 5215, 540, 9748, 540, 4342, 601, 546, 2426, 616, 1373, 1031, 547, 4492, 9160, 454, 335, 3174, 538, 519, 7187, 2136, 6259, 2506, 29521, 267, 5969, 5434, 454, 663, 5329, 3662, 3653, 856, 540, 25087, 563, 1708, 271, 7325, 476, 2641, 267, 5518, 18496, 454, 23871, 2794, 9447, 1010, 1101, 3644, 5618, 532, 1310, 513, 1614, 18881, 554, 9332, 639, 454, 663, 19230, 519, 6855, 1131, 968, 1326, 8338, 1354, 621, 4991, 1732, 1848, 634, 454, 29514, 512, 958, 540, 1004, 7783, 609, 519, 11452, 683, 1563, 476, 1428, 454, 1708, 271, 7325, 476, 2641, 267, 5518, 18496, 454, 23871, 2794, 9783, 513, 16232, 8357, 663, 636, 30418, 602, 1004, 2713, 454, 514, 519, 2197, 24648, 958, 1058, 581, 16053, 585, 18322, 1308, 454, 1952, 10407, 618, 538, 476, 1708, 272, 563, 27887, 935, 1421, 476, 279, 270, 1428, 270, 736, 267, 533, 269, 2918, 994, 1708, 271, 7325, 476, 2641, 267, 634, 6519, 5600, 454, 2335, 6407, 519, 8366, 540, 1269, 4037, 2929, 676, 519, 2817, 3163, 454, 28062, 566, 585, 1007, 32112, 693, 1614, 2475, 9945, 547, 5818, 454, 31642, 636, 1344, 1382, 563, 1708, 271, 7325, 476, 2641, 267, 634, 2475, 10456, 454, 23430, 9307, 606, 967, 1112, 618, 12123, 1079, 4457, 4182, 1023, 2443, 454, 18485, 538, 3624, 2443, 609, 28892, 6608, 267, 4744, 6342, 267, 1480, 2924, 454, 716, 643, 1235, 543, 4357, 3549, 267, 1519, 1346, 7722, 538, 5046, 268, 866, 454, 341, 3147, 710, 1382, 269, 589, 6264, 21139, 967, 1112, 618, 9901, 9149, 2473, 807, 1195, 340, 630, 4097, 264, 543, 454, 291, 784, 808, 27927, 6062, 630, 3451, 264, 609, 10647, 513, 28892, 5859, 9434, 811, 454, 22474, 476, 1015, 1296, 563, 18217, 6195, 5240, 267, 476, 278, 270, 2641, 270, 736, 994, 1708, 271, 7325, 476, 2641, 267, 1520, 5069, 589, 2381, 670, 817, 1735, 454, 263, 6812, 1070, 513, 812, 26722, 540, 18483, 5829, 10963, 267, 729, 1244, 9285, 689, 454, 1492, 2475, 1310, 513, 3656, 6370, 547, 3180, 1864, 22543, 17802, 588, 6817, 269, 769, 454, 1220, 278, 267, 646, 729, 26722, 540, 24242, 547, 12638, 267, 32043, 777, 543, 544, 2727, 454, 15161, 538, 513, 4914, 2197, 2059, 609, 8277, 22087, 8759, 267, 945, 568, 1869, 454, 574, 1440, 2581, 539, 269, 670, 817, 1735, 1185, 6192, 1010, 4845, 538, 476, 1001, 279, 543, 729, 1287, 454, 30956, 7134, 676, 2475, 26790, 543, 31654, 1682, 2037, 7593, 896, 519, 24686, 582, 454, 8002, 1317, 8128, 1223, 711, 1265, 513, 10278, 563, 1708, 271, 7325, 476, 2641, 267, 4993, 454, 1729, 4266, 1185, 476, 2412, 278, 267, 30306, 2665, 540, 11452, 543, 476, 278, 267, 279, 6924, 7972, 269, 634, 24700, 454, 29074, 9351, 1185, 476, 6246, 267, 31746, 2665, 543, 476, 24798, 7972, 269, 11192, 2665, 18487, 454, 516, 3737, 936, 476, 274, 267, 8660, 272, 267, 279, 1724, 609, 519, 2669, 17167, 693, 476, 15221, 267, 6434, 274, 563, 1708, 271, 7325, 476, 2641, 267, 769, 9628, 476, 1428, 454, 15161, 941, 8929, 267, 835, 1268, 729, 1373, 20402, 543, 2789, 454, 338, 639, 11072, 941, 1373, 8179, 1310, 7784, 13933, 30192, 3544, 513, 24133, 454, 24610, 593, 519, 2749, 781, 3162, 17121, 607, 519, 5313, 2229, 6410, 454, 3453, 593, 4566, 547, 11766, 811, 8069, 547, 519, 2749, 1141, 5208, 568, 454, 1708, 271, 7325, 476, 2641, 267, 32632, 5600, 14516, 2676, 1492, 3532, 17044, 10584, 540, 519, 11882, 5600, 267, 543, 2185, 454, 817, 1539, 919, 941, 18486, 538, 513, 1269, 2568, 2929, 5313, 536, 686, 25053, 2013, 454, 8588, 547, 513, 27710, 9707, 30845, 32548, 719, 540, 11882, 779, 1079, 6046, 1379, 454, 1708, 271, 7325, 476, 2641, 267, 2475, 2564, 3926, 454, 20447, 645, 624, 517, 16299, 8657, 543, 3213, 1767, 621, 814, 4607, 3606, 9753, 454, 5228, 519, 2136, 2276, 543, 4516, 6608, 585, 476, 10082, 2929, 454, 1910, 2590, 525, 543, 19271, 585, 5046, 268, 866, 12674, 3292, 563, 1708, 271, 7325, 476, 2641, 267, 14891, 454, 26078, 7808, 11134, 15608, 24068, 13890, 513, 27789, 1544, 6322, 693, 454, 321, 805, 3107, 1272, 883, 519, 11452, 1532, 13593, 772, 2529, 269, 4346, 676, 454, 514, 4034, 532, 1269, 278, 4037, 5479, 538, 11928, 1516, 3292, 585, 1453, 267, 519, 454, 601, 1457, 569, 543, 519, 16981, 563, 1708, 271, 7325, 476, 2641, 267, 898, 729, 4080, 454, 7474, 4437, 4094, 568, 5275, 547, 4494, 922, 1269, 16020, 267, 1822, 11983, 16757, 693, 15577, 454, 323, 2607, 593, 1283, 540, 1269, 273, 269, 272, 2929, 12656, 1790, 520, 1304, 8734, 691, 529, 5444, 3797, 454, 1708, 271, 7325, 476, 2641, 267, 769, 6628, 3223, 7079, 454, 297, 2158, 267, 513, 4759, 540, 519, 5600, 540, 12780, 11106, 543, 8232, 454, 8333, 527, 6590, 16733, 3041, 290, 1070, 3370, 1010, 1867, 883, 6739, 13779, 538, 454, 27887, 935, 1421, 476, 278, 270, 1839, 270, 736, 267, 533, 269, 3607, 994, 1708, 271, 7325, 476, 2641, 267, 31697, 779, 454, 22487, 28878, 2229, 15068, 519, 11359, 1100, 21873, 8917, 1572, 454, 2421, 519, 31012, 11685, 936, 922, 16957, 5821, 547, 26193, 454, 342, 7655, 21910, 269, 634, 1486, 22246, 10356, 538, 4395, 540, 14618, 543, 454, 17383, 5367, 27025, 8351, 609, 1018, 789, 1289, 513, 18348, 2203, 540, 454, 326, 4261, 766, 538, 799, 9565, 2923, 544, 690, 6160, 543, 23731, 1105, 338, 1489, 454, 15014, 15196, 14150, 16907, 529, 810, 341, 538, 2132, 585, 1533, 17898, 29107, 7957, 832, 563, 1708, 271, 7325, 476, 2641, 267, 769, 5527, 606, 454, 26576, 545, 17740, 656, 4323, 538, 7187, 31291, 328, 7166, 1079, 2229, 454, 339, 549, 3591, 543, 20754, 2185, 1866, 269, 20331, 4229, 267, 20483, 676, 2011, 12741, 2676, 516, 19959, 569, 7166, 476, 1240, 16143, 9099, 17740, 1218, 543, 10032, 2185, 454, 557, 327, 2873, 267, 1519, 1614, 1286, 23038, 563, 1708, 271, 7325, 476, 2641, 267, 18629, 779, 6751, 2806, 12011, 454, 25105, 4364, 1767, 1010, 2197, 267, 5527, 543, 20528, 723, 6603, 513, 968, 332, 1994, 1455, 454, 24483, 799, 533, 2314, 519, 1259, 585, 513, 14634, 6876, 892, 593, 513, 454, 21346, 633, 2481, 1788, 602, 814, 3366, 547, 8325, 6237, 13253, 543, 3366, 454, 16341, 547, 4250, 4108, 4655, 563, 1708, 271, 7325, 476, 2641, 267, 9167, 3401, 6603, 454, 320, 4308, 2038, 2221, 593, 513, 5458, 17003, 1544, 585, 11452, 268, 9545, 3042, 454, 324, 1595, 625, 269, 634, 1269, 273, 269, 272, 18265, 6578, 6876, 267, 799, 3357, 693, 519, 1439, 454, 1993, 513, 2947, 6377, 21895, 538, 29761, 267, 3769, 513, 1269, 5952, 278, 269, 3451, 5479, 454, 516, 11734, 2508, 547, 948, 12740, 519, 11782, 856, 540, 922, 10782, 21748, 454, 26238, 2622, 2782, 4083, 563, 263, 763, 10432, 267, 476, 278, 270, 2641, 270, 736, 7565, 292, 935, 1421, 476, 278, 270, 1839, 270, 736, 267, 533, 269, 4375, 994, 1708, 271, 7325, 476, 2641, 267, 4436, 1979, 1774, 577, 454, 4818, 1415, 595, 675, 309, 659, 1767, 1627, 20345, 20971, 16958, 630, 304, 8656, 264, 814, 3144, 606, 454, 1495, 529, 743, 2216, 7196, 538, 519, 6109, 607, 851, 540, 513, 1269, 14695, 2929, 14104, 454, 1037, 267, 519, 5767, 1164, 3491, 12803, 20090, 547, 2097, 593, 4580, 6619, 540, 513, 454, 13607, 1113, 6006, 2344, 17609, 563, 1708, 271, 7325, 476, 2641, 267, 15173, 15158, 4080, 454, 8618, 1007, 11452, 2665, 267, 1519, 476, 6812, 602, 941, 12725, 454, 10520, 4784, 267, 4946, 547, 513, 11739, 342, 540, 1007, 2665, 799, 723, 5734, 519, 2518, 454, 21129, 2574, 13398, 936, 519, 2250, 1079, 4374, 563, 1708, 271, 7325, 476, 2641, 267, 9459, 4080, 513, 454, 2908, 2582, 6377, 2594, 2669, 17167, 540, 476, 26631, 689, 519, 3209, 11452, 2676, 12898, 4374, 540, 8375, 2338, 538, 519, 5664, 5101, 781, 10782, 3620, 527, 454, 12248, 787, 269, 901, 6659, 519, 2949, 17167, 547, 476, 1691, 267, 277, 4097, 269, 634, 2197, 781, 454, 322, 553, 601, 1933, 9782, 547, 476, 30116, 267, 279, 2767, 267, 609, 476, 273, 267, 27698, 811, 1004, 4152, 2318, 454, 1721, 519, 2068, 538, 519, 2250, 1554, 563, 1708, 271, 7325, 476, 2641, 267, 12925, 328, 6751, 18771, 2378, 320, 454, 531, 11860, 611, 1335, 328, 1558, 9459, 781, 5518, 670, 28045, 22748, 7315, 328, 538, 1855, 327, 3757, 1282, 1010, 454, 14140, 7552, 13383, 2094, 2921, 5604, 269, 1358, 1185, 5941, 9750, 454, 339, 8565, 13218, 267, 8165, 519, 3209, 11452, 543, 3646, 547, 2327, 454, 1708, 271, 7325, 476, 2641, 267, 6792, 4080, 454, 276, 267, 15094, 1007, 11452, 2665, 8744, 922, 2698, 547, 3592, 476, 12573, 267, 1822, 4586, 291, 2905, 7972, 8593, 547, 476, 22145, 585, 513, 2698, 540, 476, 4375, 267, 4335, 563, 22829, 15598, 267, 476, 278, 270, 2641, 270, 736, 267, 533, 6993, 277, 994, 1708, 271, 7325, 476, 2641, 267, 3689, 3493, 14280, 454, 9377, 1619, 10579, 15570, 17427, 570, 15680, 1731, 990, 5143, 21261, 344, 1775, 674, 752, 1399, 11356, 454, 7474, 6576, 779, 1101, 6669, 1996, 519, 3209, 11452, 568, 4712, 563, 263, 14187, 27450, 3013, 267, 476, 278, 270, 2641, 270, 736, 994, 1708, 271, 7325, 476, 2641, 267, 3162, 9705, 781, 27699, 454, 289, 3930, 7220, 1767, 621, 814, 8815, 547, 5478, 8330, 571, 313, 523, 29132, 781, 454, 23024, 14939, 5046, 268, 866, 6669, 547, 948, 519, 3703, 2754, 1628, 454, 29514, 7727, 540, 519, 6669, 602, 814, 3254, 9153, 1996, 519, 454, 1708, 271, 7325, 476, 2641, 267, 898, 729, 4080, 454, 7474, 18280, 8205, 5012, 8050, 781, 476, 866, 4525, 609, 476, 280, 267, 7785, 1007, 4080, 454, 26542, 268, 866, 2665, 2094, 2904, 476, 1015, 543, 922, 2208, 2557, 814, 811, 982, 454, 323, 12874, 1194, 538, 519, 2250, 1614, 4374, 563, 1708, 271, 7325, 476, 2641, 267, 24063, 6592, 454, 1080, 1101, 11452, 2669, 269, 634, 2197, 781, 1101, 2013, 729, 9672, 454, 517, 4728, 476, 2420, 543, 2094, 1287, 9672, 2665, 723, 24111, 547, 811, 982, 454, 272, 267, 1822, 269, 8307, 513, 1906, 8536, 3232, 4255, 941, 1373, 5340, 563, 22829, 15598, 267, 476, 278, 270, 2190, 270, 736, 267, 533, 6993, 279, 994, 1708, 271, 7325, 476, 2641, 267, 769, 32720, 454, 308, 330, 9627, 606, 11439, 812, 25868, 513, 1279, 26591, 1668, 543, 3576, 1004, 538, 454, 527, 3984, 720, 22745, 606, 3108, 17489, 1796, 4752, 609, 7128, 269, 631, 6545, 574, 454, 298, 337, 643, 9655, 630, 4510, 1070, 513, 21977, 4535, 538, 6576, 267, 25868, 519, 1668, 609, 476, 1724, 454, 15161, 269, 918, 337, 643, 9655, 5950, 519, 3984, 1137, 16172, 1310, 3465, 269, 2098, 601, 839, 7288, 344, 454, 584, 3022, 19678, 2103, 547, 4585, 968, 24618, 13530, 2223, 513, 476, 1220, 276, 1977, 17245, 454, 1410, 19397, 8103, 779, 16970, 14226, 540, 2831, 563, 263, 4338, 267, 476, 278, 270, 2641, 270, 736, 7565, 4338, 267, 476, 278, 270, 2420, 270, 736, 994, 1708, 271, 7325, 476, 2641, 267, 634, 2622, 2657, 454, 16391, 1436, 1767, 621, 568, 6849, 513, 968, 338, 518, 1190, 7616, 7934, 892, 547, 6370, 519, 454, 2908, 12176, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17046, 569, 607, 513, 2707, 540, 1239, 585, 519, 1657, 14573, 563, 7659, 281, 645, 10485, 815, 18072, 3968, 267, 595, 5960, 815, 15544, 585, 24310, 543, 27083, 7896, 267, 23244, 301, 815, 2817, 16195, 8881, 8416, 267, 681, 7644, 815, 28731, 26094, 15580, 267, 10758, 815, 12918, 5223, 267, 22008, 290, 815, 3844, 27625, 29259, 454, 8923, 1294, 519, 11536, 31686, 11120, 1988, 3184, 585, 3606, 8292, 543, 4901, 540, 891, 6069, 14573, 563, 14813, 1663, 27833, 17261, 1588, 540, 16195, 12287, 6773, 454, 3528, 5412, 476, 4029, 267, 476, 1001, 276, 267, 3035, 476, 3583, 260, 12674, 540, 3782, 10986, 269, 634, 6069, 6482, 1062, 585, 5464, 12674, 3795, 3928, 568, 23244, 301, 563, 309, 269, 10390, 281, 589, 2817, 8758, 618, 547, 15822, 267, 10866, 16195, 454, 763, 670, 9590, 6008, 1359, 9730, 568, 13197, 519, 8321, 1049, 3804, 602, 22743, 3674, 267, 4481, 1978, 2010, 540, 22743, 3674, 267, 666, 543, 1058, 581, 17515, 543, 17767, 519, 1739, 912, 268, 7201, 519, 26844, 585, 14904, 267, 519, 3084, 7029, 543, 11450, 1063, 3782, 7426, 267, 6800, 267, 2229, 267, 543, 2872, 568, 4397, 547, 581, 22541, 543, 13455, 936, 942, 282, 543, 2676, 268, 2755, 930, 2994, 616, 1134, 8153, 543, 4712, 585, 8471, 10073, 267, 1866, 616, 711, 2943, 4628, 8810, 543, 930, 3435, 786, 2154, 5647, 543, 2029, 711, 2943, 2139, 563, 763, 2556, 7029, 540, 2200, 585, 891, 3646, 1058, 581, 7059, 1996, 519, 9645, 17191, 9806, 538, 2729, 543, 3782, 3790, 936, 942, 269, 5915, 517, 14259, 1076, 1480, 543, 2804, 9806, 786, 581, 3844, 547, 14304, 543, 24569, 938, 3646, 269, 634, 11059, 4643, 814, 8329, 547, 519, 1713, 3356, 538, 670, 9590, 6604, 2938, 2066, 519, 2197, 543, 814, 4547, 827, 606, 8476, 1377, 540, 5313, 5698, 602, 729, 1572, 585, 538, 519, 476, 1220, 279, 1867, 689, 519, 6554, 10055, 1464, 8433, 269, 634, 3804, 540, 519, 11059, 4643, 538, 8236, 2962, 538, 7303, 22743, 3674, 267, 513, 1587, 540, 1082, 1296, 540, 960, 267, 786, 581, 4797, 998, 543, 3565, 3857, 958, 547, 519, 26844, 585, 14904, 269, 0, 31043, 5149, 910, 3933, 1206, 518, 7806, 10664, 11837, 454, 8794, 16762, 20592, 543, 22944, 4066, 938, 960, 568, 4543, 519, 1004, 540, 3933, 1206, 518, 7806, 547, 18359, 519, 10418, 22193, 563, 763, 4639, 4095, 6532, 540, 3933, 1206, 518, 7806, 568, 835, 540, 519, 5177, 779, 744, 2091, 553, 17197, 1559, 630, 20084, 5588, 338, 1040, 898, 568, 851, 540, 519, 12144, 9265, 28326, 13607, 18931, 585, 519, 1804, 1297, 540, 21049, 2371, 543, 2831, 602, 2661, 24076, 3116, 538, 519, 1158, 269, 6145, 824, 29990, 10195, 1369, 519, 9265, 28326, 13607, 267, 3933, 1206, 518, 7806, 7028, 1082, 1114, 7226, 2010, 267, 1813, 547, 519, 2647, 8390, 540, 11934, 267, 2837, 543, 11811, 563, 763, 15027, 26706, 540, 476, 1960, 276, 268, 9032, 10032, 3592, 782, 519, 7733, 540, 519, 7013, 14629, 9832, 267, 4611, 538, 513, 2530, 540, 5111, 476, 3953, 260, 540, 3933, 1206, 518, 7806, 779, 5065, 4104, 5117, 269, 634, 10418, 22193, 540, 631, 976, 518, 7806, 1631, 3180, 519, 4102, 6967, 16856, 1858, 540, 4104, 269, 17164, 566, 543, 2699, 2000, 12371, 540, 12219, 2249, 568, 2877, 547, 1305, 909, 513, 14463, 5726, 1982, 609, 782, 4891, 543, 2199, 2551, 563, 5591, 767, 2553, 1759, 593, 8733, 13395, 3069, 267, 8415, 7665, 550, 630, 10946, 3065, 23811, 264, 9781, 4480, 267, 5916, 609, 4274, 1702, 543, 22944, 2079, 547, 1450, 1312, 10664, 543, 2249, 14778, 547, 581, 10567, 563, 8624, 3005, 2798, 15663, 10664, 1826, 543, 2249, 4527, 941, 6508, 689, 3573, 2361, 1740, 269, 901, 1239, 267, 5916, 609, 2825, 630, 328, 4318, 269, 16133, 547, 8933, 264, 543, 1283, 4919, 630, 328, 4318, 269, 7913, 29175, 566, 7844, 267, 667, 4932, 264, 1239, 4646, 519, 3490, 11378, 585, 519, 9781, 5650, 269, 17423, 3652, 3157, 941, 840, 11526, 1210, 20211, 300, 2355, 2203, 32063, 1907, 547, 5512, 519, 6772, 904, 540, 4527, 17831, 540, 1142, 10664, 2010, 563, 763, 24018, 10664, 2010, 941, 5916, 547, 1106, 513, 4786, 540, 519, 6532, 779, 10664, 1354, 519, 20349, 269, 634, 23419, 8928, 941, 1287, 25528, 543, 6772, 4660, 593, 547, 519, 10664, 4786, 547, 1397, 799, 2010, 630, 1993, 10664, 264, 1185, 11124, 519, 1034, 607, 513, 1267, 540, 519, 20349, 269, 5565, 2249, 540, 1271, 21049, 2371, 630, 292, 3671, 754, 5300, 1395, 1206, 518, 7806, 1619, 543, 681, 27475, 2280, 807, 1207, 343, 604, 16288, 264, 941, 849, 24018, 1210, 519, 1482, 2553, 563, 763, 17016, 6508, 689, 891, 22944, 2553, 267, 1519, 519, 10664, 4786, 267, 10567, 14778, 540, 1079, 1271, 21049, 2249, 543, 1007, 2825, 3490, 1239, 1519, 513, 7913, 29175, 566, 7844, 630, 291, 4932, 264, 616, 3015, 547, 5726, 24990, 543, 519, 1857, 547, 5351, 2104, 2361, 1740, 543, 5726, 2238, 593, 519, 6532, 269, 634, 4786, 849, 6663, 547, 2491, 2409, 1031, 676, 3173, 543, 2361, 32305, 547, 1305, 909, 5726, 1982, 538, 513, 3102, 1259, 563, 763, 22944, 2553, 1031, 723, 13087, 721, 547, 3132, 513, 3095, 1063, 2361, 1740, 267, 7226, 2203, 543, 2249, 3892, 269, 634, 6111, 540, 519, 17016, 814, 1044, 20240, 609, 7766, 2361, 1740, 543, 6098, 10070, 630, 1729, 2127, 540, 519, 5207, 12605, 1916, 5472, 540, 713, 568, 5916, 538, 7047, 4919, 2472, 543, 7194, 799, 5838, 519, 1271, 1344, 13801, 569, 547, 24990, 267, 3375, 15670, 543, 519, 2489, 1857, 269, 22944, 3301, 630, 2464, 6020, 24194, 264, 814, 1044, 1031, 585, 8901, 2079, 267, 1239, 1666, 532, 267, 476, 274, 291, 960, 543, 6041, 563, 268, 589, 269, 32617, 520, 267, 476, 1001, 271, 20620, 16605, 909, 547, 4266, 609, 2621, 543, 3377, 689, 918, 1168 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15328, 5416, 1532, 264, 261, 25885, 282, 284, 290, 657, 263, 334, 994, 754, 10818, 32526, 7078, 912, 299, 1115, 2161, 972, 781, 513, 13409, 6849, 476, 271, 5232, 609, 6679, 476, 3583, 267, 543, 649, 1616, 547, 917, 952, 519, 5086, 476, 3393, 568, 3330, 540, 621, 692, 314, 331, 329, 817, 316, 290, 821, 263, 3393, 267, 271, 267, 3583, 264, 22535, 331, 329, 817, 316, 7024, 3020, 1317, 476, 3393, 4523, 547, 581, 3330, 602, 13409, 692, 15008, 912, 314, 331, 329, 817, 316, 290, 657, 263, 3393, 268, 271, 264, 910, 3436, 15328, 263, 3393, 264, 2652, 476, 271, 269, 3583, 278, 22535, 331, 329, 817, 2639, 314, 331, 329, 817, 316, 290, 657, 263, 3583, 264, 2652, 476, 271, 269, 31079, 22535, 331, 329, 817, 2639, 763, 1267, 540, 519, 15328, 710, 540, 519, 3017, 540, 1312, 7285, 568, 3152, 982, 519, 6679, 781, 15328, 710, 267, 519, 1599, 7024, 3020, 563, 257, 290, 657, 257, 568, 513, 1599, 602, 27786, 519, 2990, 540, 606, 5086, 2687, 547, 621, 781, 3239, 538, 519, 2473, 7852, 563, 3383, 1631, 4952, 602, 519, 13409, 781, 27934, 568, 476, 271, 267, 543, 15328, 263, 271, 264, 2652, 476, 272, 267, 543, 602, 15328, 666, 1405, 979, 3564, 476, 272, 543, 666, 1405, 3893, 2630, 910, 272, 1862, 1656, 519, 1599, 27786, 952, 519, 3017, 568, 3152, 982, 610, 3160, 547, 519, 6679, 781, 25482, 267, 602, 1797, 602, 1317, 972, 781, 1100, 3152, 1871, 982, 476, 272, 267, 519, 1152, 7872, 547, 2132, 3020, 568, 1373, 3160, 547, 476, 272, 563, 3086, 4952, 602, 519, 13409, 781, 6679, 568, 476, 2568, 267, 543, 15328, 263, 2568, 264, 2652, 476, 271, 269, 276, 267, 849, 602, 15328, 263, 2568, 264, 2652, 15328, 263, 11740, 268, 2568, 264, 621, 814, 513, 1732, 4960, 547, 581, 936, 476, 271, 269, 276, 269, 634, 3152, 519, 13409, 1766, 339, 675, 519, 3152, 519, 4960, 585, 519, 3017, 540, 519, 7285, 547, 581, 3152, 547, 621, 267, 602, 338, 1317, 476, 271, 6679, 1797, 476, 272, 543, 476, 5197, 27934, 1797, 910, 272, 780, 8923, 5491, 952, 1031, 780, 2971, 11993, 325, 777, 692, 7462, 1715, 16588, 454, 333, 823, 4542, 972, 19898, 692, 2971, 590, 326, 336, 341, 584, 692, 7462, 9509, 8170, 19575, 1493, 23871, 3578, 338, 4517, 292, 339, 476, 1716, 531, 7468, 514, 3321, 267, 1775, 4318, 695, 328, 454, 13312, 2350, 267, 5225, 946, 513, 834, 21720, 257, 16166, 543, 5924, 1683, 8847, 585, 519, 2474, 596, 946, 780, 296, 1611, 1384, 3674, 333, 1405, 513, 13409, 513, 476, 274, 323, 12166, 3337, 286, 12344, 513, 9764, 5823, 1522, 581, 1732, 2496, 1432, 781, 606, 27934, 2496, 262, 2260, 23005, 1149, 952, 519, 5086, 834, 320, 257, 568, 3330, 513, 13409, 540, 6849, 834, 321, 257, 609, 27934, 834, 334, 257, 7055, 262, 320, 13409, 540, 6849, 834, 321, 257, 262, 1018, 1281, 602, 1611, 2496, 4517, 1946, 711, 2285, 606, 1383, 610, 1079, 540, 875, 547, 946, 713, 267, 1256, 952, 519, 834, 8421, 545, 257, 568, 711, 6956, 519, 1806, 1223, 581, 1031, 1875, 8252, 1318, 286, 815, 2020, 2971, 3143, 984, 296, 3387, 320, 3682, 692, 7462, 1411, 666, 1689, 713, 1631, 538, 14871, 8713, 563, 287, 306, 326, 336, 341, 584, 454, 288, 13630, 675, 281, 12261, 883, 1250, 1893, 543, 3081, 834, 641, 2287, 257, 865, 621, 1590, 581, 5219, 547, 519, 5086, 563, 763, 4542, 11974, 952, 589, 5086, 568, 3330, 645, 5086, 1341, 268, 302, 5232, 780, 7078, 281, 667, 7974, 281, 15552, 681, 5942, 281, 7982, 560, 629, 2702, 563, 297, 19798, 912, 18606, 454, 9418, 5086, 815, 24234, 689, 22215, 1770, 547, 16091, 1770, 454, 8873, 595, 821, 263, 4120, 267, 5192, 16215, 293, 5217, 263, 7476, 307, 3419, 3455, 16215, 3890, 1070, 476, 3199, 264, 32526, 604, 3020, 1287, 4019, 519, 22429, 3441, 692, 287, 13312, 2350, 454, 301, 823, 2816, 544, 279, 596, 1500, 4247, 4443, 692, 2971, 590, 326, 336, 341, 584, 692, 7462, 9509, 8170, 19575, 1493, 23871, 3578, 338, 4517, 292, 339, 476, 1716, 531, 7468, 514, 3321, 267, 1775, 4318, 695, 328, 454, 5591, 984, 296, 3387, 320, 3682, 281, 634, 4542, 11974, 952, 589, 5086, 568, 3330, 645, 5086, 1341, 268, 302, 5232, 780, 11039, 267, 602, 594, 666, 1174, 7429, 1412, 2260, 23005, 1149, 952, 519, 5086, 834, 320, 257, 568, 3330, 513, 13409, 540, 6849, 834, 321, 257, 609, 27934, 834, 334, 257, 28847, 4916, 281, 519, 4645, 25165, 960, 609, 32494, 267, 5192, 16215, 293, 5217, 1568, 609, 5232, 780, 2971, 4144, 2350, 692, 7462, 476, 25375, 6200, 3199, 454, 287, 306, 326, 336, 341, 584, 454, 4415, 27934, 594, 5921, 6679, 267, 16740, 330, 1946, 594, 3893, 11821, 267, 594, 3513, 4368, 621, 1318, 2476, 563, 296, 1589, 595, 821, 568, 606, 3617, 2012, 269, 2311, 2547, 538, 2112, 8154, 563, 4517, 519, 4605, 3254, 568, 606, 1383, 267, 711, 519, 7954, 563, 763, 13409, 781, 6849, 5086, 568, 689, 1141, 519, 6679, 5086, 5956, 2483, 6701, 596, 6998, 1317, 596, 1810, 1405, 917, 610, 1317, 596, 1616, 803, 547, 1118, 621, 811, 2312, 2496, 287, 5591, 558, 296, 3387, 320, 3682, 454, 1103, 519, 1806, 3254, 1775, 6415, 1210, 5232, 267, 855, 602, 729, 1152, 547, 8897, 519, 1620, 267, 621, 1568, 609, 32494, 692, 12552, 585, 519, 5955, 692, 2971, 590, 326, 336, 341, 584, 692, 7462, 9509, 8170, 19575, 1493, 23871, 3578, 338, 4517, 292, 339, 476, 1716, 531, 7468, 514, 3321, 267, 1775, 4318, 695, 328, 454, 285, 6701, 596, 6998, 1317, 596, 1810, 1405, 917, 610, 1317, 596, 1616, 803, 547, 1118, 621, 811, 2312, 888, 13828, 815, 1070, 855, 594, 1589, 594, 1205, 621, 1631, 1256, 519, 1383, 630, 335, 27348, 1070, 621, 27313, 14259, 2572, 1018, 596, 4312, 2854, 834, 290, 821, 263, 3393, 267, 271, 267, 3583, 17983, 855, 594, 1589, 621, 1131, 581, 1732, 952, 621, 729, 1256, 811, 834, 984, 2365, 257, 1384, 4517, 594, 1589, 1018, 3143, 984, 296, 3387, 320, 3682, 5795, 607, 606, 1383, 1223, 849, 581, 2322, 538, 513, 4605, 267, 1945, 899, 713, 1384, 285, 296, 1589, 595, 821, 568, 606, 3617, 2012, 269, 2311, 2547, 538, 2112, 8154, 563, 3725, 958, 286, 1548, 2306, 596, 2328, 602, 286, 898, 5654, 270, 1348, 338, 547, 803, 899, 513, 4020, 528, 585, 519, 476, 274, 323, 12166, 3337, 815, 1070, 4352, 621, 3217, 476, 274, 556, 1023, 865, 1862, 8117, 594, 1869, 1589, 621, 781, 2186, 320, 14845, 780, 2971, 4144, 2350, 692, 7462, 476, 25375, 6200, 3199, 454, 1372, 2718, 9059, 3441, 547, 4559, 538, 513, 13409, 538, 4395, 540, 1200, 563, 300, 1389, 3501, 2631, 547, 803, 780, 2971, 5487, 773, 341, 692, 7462, 19850, 19415, 256, 2336, 23763, 519, 14724, 1259, 547, 2491, 1018, 1412, 322, 821, 262, 1797, 1934, 286, 22165, 327, 540, 9605, 630, 19668, 5578, 540, 654, 2117, 2761, 1070, 596, 2811, 2944, 780, 2971, 590, 326, 336, 341, 584, 692, 7462, 9509, 8170, 19575, 1493, 23871, 3578, 338, 4517, 292, 339, 476, 1716, 531, 7468, 514, 3321, 267, 1775, 4318, 695, 328, 454, 285, 23763, 519, 14724, 1259, 547, 2491, 1018, 1412, 322, 821, 262, 1797, 1934, 286, 22165, 327, 540, 9605, 630, 19668, 5578, 540, 654, 2117, 2761, 1070, 596, 2811, 2944, 780, 310, 7159, 1862, 3884, 1405, 22165, 327, 540, 9605, 606, 568, 30801, 25671, 1355, 286, 815, 2020, 2971, 32652, 2419, 320, 657, 692, 7462, 1715, 16588, 454, 1607, 568, 1250, 15428, 3009, 8147, 454, 297, 19798, 912, 18606, 2260, 634, 3009, 568, 607, 9605, 22165, 327, 454, 10818, 24234, 11795, 2397, 3217, 1483, 5086, 267, 1483, 5086, 272, 267, 1483, 5086, 273, 7024, 1630, 18978, 454, 29985, 1483, 1535, 454, 3553, 5086, 815, 3525, 25222, 18600, 263, 4120, 267, 11740, 994, 3553, 5086, 272, 815, 3525, 25222, 18600, 263, 4120, 272, 267, 11740, 994, 3553, 5086, 273, 815, 3525, 25222, 18600, 263, 4120, 273, 267, 11740, 994, 604, 630, 4120, 272, 261, 25885, 282, 4120, 273, 264, 1287, 454, 3553, 1535, 284, 4120, 272, 454, 3553, 5086, 272, 284, 4120, 273, 454, 3553, 5086, 273, 24210, 454, 754, 604, 454, 604, 630, 4120, 273, 268, 4120, 272, 264, 261, 25885, 282, 263, 4120, 272, 910, 630, 4120, 273, 268, 11740, 4297, 1287, 454, 3553, 5086, 273, 284, 4120, 273, 268, 11740, 454, 604, 5086, 1299, 25885, 282, 476, 5197, 1287, 454, 3553, 5086, 284, 4120, 268, 11740, 454, 754, 604, 454, 8873, 5086, 261, 25885, 282, 284, 4120, 273, 543, 5086, 261, 2741, 282, 284, 4120, 272, 454, 754, 604, 454, 8873, 630, 4120, 261, 25885, 282, 284, 4120, 272, 264, 543, 630, 4120, 261, 2741, 282, 284, 4120, 273, 994, 754, 10818, 692, 10818, 6828, 5319, 636, 4462, 1080, 1103, 290, 821, 3217, 1895, 799, 27026, 267, 9418, 28080, 17951, 548, 2073, 9418, 654, 5954, 267, 9418, 20028, 267, 9418, 1535, 272, 267, 9418, 586, 272, 7024, 4986, 454, 29985, 1895, 575, 815, 476, 1715, 27026, 4590, 29985, 1483, 24234, 3849, 3286, 815, 2311, 534, 9230, 310, 5954, 270, 273, 8358, 291, 2700, 12684, 6872, 269, 27768, 279, 2767, 454, 29985, 1483, 17797, 288, 284, 28080, 17951, 548, 5025, 978, 548, 3849, 3286, 454, 29985, 1483, 17797, 289, 284, 28080, 17951, 548, 266, 17951, 548, 3849, 3286, 454, 29985, 1483, 5086, 815, 476, 271, 454, 29985, 1770, 642, 454, 322, 718, 6828, 5319, 636, 4462, 1080, 1103, 305, 1052, 14116, 21726, 272, 267, 586, 272, 267, 20028, 267, 19447, 302, 4041, 311, 11266, 318, 15045, 16604, 994, 31467, 454, 3553, 642, 284, 5575, 8170, 27026, 14116, 994, 1410, 527, 15290, 642, 2525, 333, 1638, 454, 322, 718, 6828, 7230, 913, 16215, 14116, 267, 341, 994, 3553, 5086, 815, 476, 6872, 269, 27768, 279, 2767, 265, 7476, 16215, 17951, 548, 311, 312, 3287, 272, 267, 586, 272, 267, 5192, 16215, 311, 17635, 1070, 5192, 16215, 312, 17635, 4917, 604, 24234, 11795, 2397, 263, 4120, 267, 17797, 288, 267, 17797, 289, 264, 1287, 454, 322, 718, 6828, 11754, 16215, 263, 6518, 27026, 267, 341, 994, 754, 604, 454, 754, 31467, 454, 322, 718, 24793, 27026, 14116, 994, 3553, 575, 815, 14275, 454, 754, 10818, 692, 1440, 10675, 1599, 2201, 8967, 749, 3217, 4986, 7024, 1630, 18978, 454, 29985, 1770, 579, 815, 5192, 307, 3419, 3455, 16215, 4590, 29985, 1770, 642, 692, 29985, 1483, 1535, 272, 815, 5192, 16215, 311, 26086, 994, 29985, 1483, 586, 272, 815, 5192, 16215, 312, 26086, 994, 29985, 1483, 512, 343, 815, 5192, 8967, 749, 307, 13759, 311, 4590, 29985, 1483, 1119, 815, 5192, 8967, 749, 307, 13759, 312, 4590, 29985, 1483, 28080, 17951, 548, 815, 5192, 16215, 17951, 548, 311, 312, 3287, 272, 267, 586, 272, 267, 512, 343, 267, 1119, 12684, 6872, 269, 27768, 279, 2767, 454, 29985, 1483, 20028, 815, 476, 10384, 454, 29985, 1483, 654, 5954, 815, 476, 275, 4037, 454, 29985, 1895, 11192, 27026, 815, 1715, 27026, 10797, 322, 718, 6828, 5319, 636, 4462, 1080, 1103, 290, 821, 273, 263, 13707, 27026, 267, 307, 1173, 17951, 548, 267, 291, 2700, 2073, 310, 5954, 21726, 272, 11971, 272, 994, 31467, 454, 3553, 642, 815, 3689, 8170, 27026, 263, 13707, 27026, 994, 1410, 527, 15290, 642, 2652, 14275, 692, 604, 1772, 16215, 291, 600, 613, 300, 2255, 17635, 267, 340, 264, 1287, 12262, 23742, 614, 10818, 454, 2260, 4429, 2260, 3441, 519, 1770, 454, 2260, 4429, 754, 604, 454, 322, 718, 6828, 7230, 913, 16215, 263, 13707, 27026, 267, 341, 994, 754, 31467, 692, 3553, 579, 815, 14275, 32526, 297, 19798, 912, 18606, 2260, 1607, 3009, 568, 3490, 593, 595, 821, 4542, 454, 10818, 6828, 5319, 636, 4462, 1080, 1103, 306, 10725, 273, 3217, 1895, 799, 27026, 267, 22780, 579, 267, 9418, 5086, 267, 9418, 6849, 267, 9418, 8953, 7024, 4986, 454, 29985, 1483, 1535, 815, 5192, 16215, 311, 26086, 994, 29985, 1483, 586, 815, 5192, 16215, 312, 26086, 994, 29985, 1483, 3068, 815, 26440, 273, 20238, 6600, 5217, 265, 271, 269, 276, 994, 29985, 1770, 642, 454, 29985, 1895, 575, 815, 8073, 27026, 4590, 322, 718, 6828, 5319, 636, 4462, 1080, 1103, 305, 1052, 14116, 21726, 11971, 267, 31709, 19885, 1638, 994, 31467, 454, 3553, 642, 815, 3689, 8170, 27026, 14116, 994, 1410, 527, 15290, 642, 2652, 14275, 454, 322, 718, 6828, 7230, 913, 16215, 14116, 267, 341, 994, 604, 595, 821, 263, 4263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 333, 5319, 2809, 8206, 10590, 2020, 825, 3116, 10778, 1038, 1820, 19629, 333, 28989, 2073, 901, 568, 711, 513, 4570, 14181, 18602, 8274, 8206, 256, 315, 333, 15419, 7531, 20142, 633, 10797, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 692, 0, 258, 21602, 585, 1313, 617, 27075, 2747, 454, 258, 12370, 2160, 267, 11483, 476, 21709, 267, 12096, 476, 1001, 279, 454, 258, 22439, 281, 16441, 26757, 267, 15537, 6215, 831, 267, 962, 826, 6129, 692, 5814, 11885, 607, 5286, 692, 258, 7827, 3710, 2987, 21855, 547, 17756, 950, 1210, 11885, 454, 12639, 4732, 2678, 337, 263, 718, 8782, 571, 1047, 17210, 5035, 24430, 24998, 2187, 453, 12163, 453, 24478, 525, 513, 24430, 1362, 5885, 2688, 4238, 585, 4201, 11703, 7756, 2747, 630, 4696, 6393, 453, 16920, 1026, 2373, 454, 453, 7529, 2525, 454, 453, 1998, 2433, 11885, 269, 526, 6783, 454, 4848, 476, 634, 1871, 540, 3593, 3989, 1599, 4433, 264, 535, 11117, 693, 1535, 780, 453, 1457, 2433, 11885, 269, 526, 6783, 454, 4848, 476, 634, 7222, 12045, 267, 13506, 267, 610, 15243, 1014, 540, 3593, 3989, 454, 4848, 476, 3252, 4433, 1040, 27100, 630, 328, 267, 795, 264, 538, 519, 15243, 1014, 3568, 519, 12045, 540, 3097, 4848, 476, 3693, 1775, 540, 519, 24430, 609, 2463, 547, 3403, 4756, 795, 563, 453, 8173, 22592, 6449, 8181, 9191, 1345, 267, 2418, 267, 3541, 17342, 272, 316, 2187, 453, 453, 12163, 453, 453, 2562, 303, 308, 4811, 454, 453, 453, 4499, 2525, 23751, 453, 453, 1998, 2433, 703, 267, 10581, 267, 1592, 267, 610, 5286, 15126, 454, 15235, 476, 634, 1871, 540, 3593, 3989, 1599, 4433, 264, 535, 11117, 693, 1535, 780, 453, 453, 1457, 2433, 703, 267, 10581, 267, 1592, 267, 5286, 15126, 267, 610, 1193, 267, 18593, 630, 29239, 17342, 272, 7481, 15235, 476, 634, 7222, 12045, 267, 13506, 267, 610, 15243, 1014, 540, 3593, 3989, 454, 15235, 476, 3252, 4433, 1040, 27100, 630, 328, 267, 795, 264, 538, 519, 15243, 1014, 3568, 519, 12045, 540, 3097, 15235, 476, 3693, 1775, 540, 519, 24430, 609, 2463, 547, 3403, 4756, 795, 563, 15235, 476, 1403, 3541, 568, 513, 5569, 267, 621, 1590, 581, 540, 519, 1106, 1412, 343, 11971, 3299, 1141, 1535, 568, 519, 1297, 454, 15235, 476, 540, 3403, 4632, 267, 543, 586, 568, 519, 2990, 630, 271, 268, 8161, 539, 264, 540, 519, 1699, 4756, 563, 15235, 476, 1280, 1383, 267, 3079, 540, 10747, 1990, 815, 24430, 263, 273, 267, 1496, 271, 267, 476, 272, 267, 476, 271, 2073, 271, 25818, 835, 1223, 5581, 454, 15235, 476, 1990, 815, 24430, 263, 273, 267, 1412, 275, 267, 272, 262, 1040, 901, 2306, 18440, 4443, 950, 972, 616, 1082, 3403, 4632, 563, 4848, 454, 453, 453, 27237, 2464, 454, 453, 453, 4499, 23751, 453, 453, 303, 3918, 281, 3097, 15235, 910, 1130, 281, 703, 267, 10581, 267, 1592, 267, 610, 5286, 15126, 454, 15235, 910, 3541, 281, 703, 267, 10581, 267, 1592, 267, 610, 5286, 15126, 454, 453, 453, 17269, 4306, 912, 15235, 910, 1130, 281, 5286, 15126, 454, 15235, 910, 3541, 281, 5286, 15126, 692, 453, 453, 13052, 4456, 12195, 2464, 454, 453, 453, 7529, 23751, 453, 453, 258, 18452, 513, 3586, 454, 453, 453, 24257, 24430, 263, 274, 269, 271, 267, 7183, 264, 3097, 453, 453, 309, 541, 8443, 274, 269, 3910, 7183, 2020, 453, 453, 258, 18452, 513, 22185, 4756, 454, 453, 453, 24257, 24430, 263, 274, 269, 271, 264, 3097, 453, 453, 309, 541, 8443, 274, 269, 3910, 1496, 272, 20285, 453, 453, 258, 18452, 513, 6152, 609, 1079, 2609, 454, 453, 453, 24257, 1535, 815, 24430, 263, 274, 269, 271, 267, 1496, 272, 267, 476, 271, 7481, 453, 453, 24257, 586, 815, 24430, 263, 274, 269, 271, 267, 1496, 271, 267, 476, 272, 7481, 453, 453, 24257, 1990, 815, 24430, 8443, 343, 267, 586, 7481, 453, 453, 24257, 1990, 454, 453, 453, 11749, 1132, 912, 453, 453, 314, 274, 269, 476, 274, 269, 16689, 453, 453, 297, 659, 984, 1014, 912, 453, 453, 314, 314, 272, 476, 271, 2639, 4848, 1496, 271, 476, 272, 27663, 453, 453, 12163, 453, 453, 258, 22417, 5569, 3403, 547, 1770, 6152, 454, 453, 14851, 568, 27349, 263, 1457, 267, 1193, 2187, 4848, 453, 16386, 1412, 10086, 538, 3541, 454, 4848, 453, 26319, 267, 1064, 815, 4786, 17301, 267, 3541, 21858, 263, 12887, 4917, 4848, 453, 16386, 1064, 2999, 3259, 454, 4848, 453, 1457, 815, 5286, 25910, 9230, 26319, 4917, 4848, 453, 1457, 314, 1842, 316, 815, 476, 272, 692, 453, 14851, 568, 27349, 263, 11161, 267, 10581, 264, 610, 568, 27349, 263, 11161, 267, 703, 2187, 4848, 453, 11161, 815, 1496, 11161, 2639, 453, 14851, 7003, 263, 11161, 264, 2652, 476, 272, 912, 4848, 14851, 568, 27349, 263, 11161, 314, 271, 3910, 24430, 2187, 15235, 19677, 22183, 815, 2418, 314, 271, 4940, 1998, 454, 15235, 19677, 269, 1457, 815, 2418, 314, 271, 4940, 1457, 454, 4848, 28432, 912, 15235, 14851, 568, 27349, 263, 1457, 267, 10581, 264, 610, 568, 27349, 263, 1457, 267, 703, 2187, 20930, 453, 1457, 815, 1496, 1457, 6540, 15235, 19677, 22183, 815, 5286, 15126, 263, 11161, 994, 15235, 19677, 269, 1457, 815, 5286, 15126, 263, 1457, 994, 453, 28432, 912, 4848, 453, 718, 5332, 517, 318, 309, 1513, 815, 7003, 17338, 6600, 559, 614, 10857, 10033, 1535, 281, 568, 27349, 3287, 267, 24430, 1070, 2418, 30727, 2652, 476, 271, 454, 4848, 14851, 782, 5332, 517, 318, 309, 1513, 912, 15235, 19677, 22183, 815, 5286, 15126, 263, 11161, 994, 15235, 19677, 269, 1457, 815, 5286, 15126, 263, 1457, 994, 4848, 28432, 912, 15235, 453, 258, 1582, 269, 11161, 568, 513, 6152, 602, 3568, 513, 24430, 1843, 693, 3355, 1436, 454, 15235, 453, 10946, 19571, 24449, 1513, 815, 3193, 8443, 454, 20930, 453, 6352, 3287, 269, 1457, 314, 271, 8079, 952, 568, 27349, 3287, 267, 24430, 264, 543, 7003, 3287, 269, 1457, 17482, 264, 3436, 476, 272, 3116, 454, 20930, 453, 12759, 3287, 269, 1457, 264, 952, 568, 27349, 3287, 267, 24430, 264, 543, 7003, 3287, 269, 1457, 17482, 264, 2652, 476, 272, 3116, 476, 271, 264, 585, 1535, 538, 2418, 7481, 15235, 453, 2908, 28767, 815, 11713, 15235, 453, 2908, 318, 1457, 643, 2510, 815, 11713, 15235, 22610, 1535, 538, 2418, 912, 20930, 453, 339, 787, 912, 4848, 15235, 453, 2908, 28767, 6910, 3287, 22183, 994, 4848, 15235, 453, 2908, 318, 1457, 643, 2510, 6910, 3287, 269, 1457, 994, 20930, 453, 21955, 912, 4848, 15235, 453, 2908, 28767, 6910, 3287, 994, 4848, 15235, 453, 2908, 318, 1457, 643, 2510, 6910, 18828, 25910, 32384, 19571, 24449, 1513, 11723, 15235, 19677, 22183, 815, 5286, 19544, 23637, 9230, 2908, 28767, 4917, 15235, 19677, 269, 1457, 815, 5286, 18192, 23637, 9230, 2908, 318, 1457, 643, 2510, 11723, 453, 453, 258, 22417, 2418, 540, 910, 271, 269, 271, 547, 476, 271, 269, 271, 538, 1582, 22183, 454, 453, 14851, 7003, 4311, 22183, 17482, 2187, 4848, 453, 27729, 815, 1582, 22183, 17482, 454, 4848, 453, 1998, 318, 10094, 815, 1582, 22183, 269, 29788, 1084, 4590, 4848, 22610, 1775, 267, 1130, 26371, 538, 26246, 263, 1998, 318, 10094, 2187, 15235, 14851, 1130, 26371, 2652, 910, 271, 269, 271, 912, 20930, 453, 1998, 318, 10094, 5157, 316, 815, 476, 271, 269, 271, 454, 4848, 19677, 22183, 815, 5286, 269, 31412, 263, 1998, 318, 10094, 267, 3337, 2020, 453, 453, 258, 22417, 2418, 540, 910, 271, 269, 271, 547, 476, 271, 269, 271, 538, 1582, 269, 1457, 454, 453, 14851, 7003, 4311, 269, 1457, 17482, 2187, 4848, 453, 27729, 815, 1582, 269, 1457, 17482, 454, 4848, 453, 1457, 318, 10094, 815, 1582, 269, 1457, 269, 29788, 1084, 4590, 4848, 22610, 1775, 267, 3541, 26371, 538, 26246, 263, 1457, 318, 10094, 2187, 15235, 14851, 3541, 26371, 2652, 910, 271, 269, 271, 912, 20930, 453, 1457, 318, 10094, 5157, 316, 815, 476, 271, 269, 271, 454, 4848, 19677, 269, 1457, 815, 5286, 269, 31412, 263, 1457, 318, 10094, 267, 3337, 2020, 22592, 6449, 516, 1440, 9191, 1345, 2187, 453, 453, 12163, 453, 453, 7468, 6493, 1582, 538, 519, 1106, 540, 24430, 8443, 1998, 3910, 1496, 1457, 8079, 950, 1582, 568, 513, 22185, 610, 3586, 563, 453, 453, 7468, 6493, 1582, 538, 519, 1106, 540, 18880, 8443, 1998, 8079, 15243, 1014, 8443, 1457, 8079, 950, 1582, 568, 513, 6152, 563, 4848, 454, 453, 453, 14303, 5281, 454, 453, 453, 4499, 2525, 23751, 453, 453, 343, 281, 24430, 1843, 609, 1130, 952, 1535, 568, 513, 3586, 454, 4848, 567, 24430, 1843, 609, 1130, 543, 3541, 952, 1535, 568, 513, 22185, 454, 4848, 567, 24430, 1843, 609, 1130, 543, 3541, 952, 1535, 568, 513, 6152, 454, 4848, 454, 453, 453, 14300, 454, 453, 453, 7529, 454, 453, 453, 258, 18452, 513, 3586, 454, 453, 453, 24257, 1535, 815, 24430, 263, 274, 269, 271, 267, 7183, 264, 3097, 453, 453, 24257, 1820, 3287, 994, 453, 453, 309, 541, 8443, 274, 269, 3910, 7183, 2020, 453, 453, 258, 18452, 513, 22185, 454, 453, 453, 24257, 1535, 815, 24430, 263, 274, 269, 271, 264, 3097, 453, 453, 24257, 1820, 3287, 994, 453, 453, 309, 541, 8443, 274, 269, 3910, 1496, 272, 20285, 453, 453, 258, 18452, 513, 6152, 609, 1079, 2609, 454, 453, 453, 24257, 1535, 815, 24430, 263, 274, 269, 271, 267, 1496, 272, 267, 476, 271, 7481, 453, 453, 24257, 586, 815, 24430, 263, 274, 269, 271, 267, 1496, 271, 267, 476, 272, 7481, 453, 453, 24257, 1990, 815, 24430, 8443, 343, 267, 586, 7481, 453, 453, 24257, 1820, 18750, 994, 453, 453, 11749, 1132, 912, 453, 453, 314, 274, 269, 476, 274, 269, 16689, 453, 453, 297, 659, 984, 1014, 912, 453, 453, 314, 314, 272, 476, 271, 2639, 4848, 1496, 271, 476, 272, 27663, 453, 453, 20701, 453, 453, 1998, 815, 1130, 6831, 4878, 815, 5286, 6983, 4878, 4311, 22183, 994, 453, 453, 1457, 815, 3541, 6831, 4878, 815, 5286, 6983, 4878, 4311, 269, 1457, 2020, 453, 453, 258, 22417, 2418, 540, 910, 271, 269, 271, 610, 2999, 272, 324, 268, 1321, 547, 476, 271, 269, 271, 538, 1582, 22183, 454, 453, 14851, 7003, 263, 1998, 6831, 4878, 17482, 2187, 4848, 453, 27729, 815, 1130, 6831, 4878, 17482, 454, 4848, 453, 1998, 815, 1130, 6831, 4878, 269, 29788, 1084, 4590, 4848, 22610, 1775, 267, 1130, 10983, 538, 26246, 263, 1998, 2187, 15235, 14851, 1130, 10983, 2652, 910, 271, 269, 271, 610, 2612, 263, 1998, 10983, 264, 2999, 476, 272, 324, 268, 1321, 912, 20930, 453, 1998, 5157, 316, 815, 476, 271, 269, 271, 454, 4848, 453, 1998, 815, 5286, 269, 31412, 263, 1998, 267, 3337, 2020, 453, 453, 258, 22417, 2418, 540, 910, 271, 269, 271, 610, 2999, 272, 324, 268, 1321, 547, 476, 271, 269, 271, 538, 1582, 269, 1457, 454, 453, 14851, 7003, 263, 1457, 6831, 4878, 17482, 2187, 4848, 453, 27729, 815, 3541, 6831, 4878, 17482, 454, 4848, 453, 1457, 815, 3541, 6831, 4878, 269, 29788, 1084, 4590, 4848, 22610, 1775, 267, 3541, 10983, 538, 26246, 263, 1457, 2187, 15235, 14851, 3541, 10983, 2652, 910, 271, 269, 271, 610, 2612, 263, 1457, 10983, 264, 2999, 476, 272, 324, 268, 1321, 912, 20930, 453, 1457, 5157, 316, 815, 476, 271, 269, 271, 454, 4848, 453, 1457, 815, 5286, 269, 31412, 263, 1457, 267, 3337, 994, 4848, 454, 453, 14851, 7003, 263, 1998, 264, 2652, 476, 272, 912, 4848, 16596, 1412, 309, 541, 20719, 9574, 15079, 264, 8339, 8971, 263, 1998, 267, 3541, 994, 453, 16596, 1412, 11749, 1132, 24097, 333, 346, 9574, 315, 333, 297, 659, 984, 1014, 24097, 333, 24001, 8339, 8971, 263, 1998, 267, 3541, 2020, 22592, 6449, 5417, 9191, 1345, 267, 824, 2187, 453, 453, 18851, 3097, 453, 453, 14303, 5281, 519, 1840, 540, 1582, 543, 824, 563, 4848, 454, 453, 453, 13640, 600, 4394, 454, 453, 453, 7529, 2525, 454, 453, 19677, 281, 24430, 1843, 454, 453, 453, 1278, 281, 24430, 1843, 267, 10581, 267, 610, 703, 454, 4848, 454, 453, 453, 14303, 5281, 454, 453, 453, 7529, 3097, 453, 453, 345, 281, 24430, 1843, 602, 568, 519, 2040, 540, 1582, 543, 824, 454, 4848, 454, 453, 453, 14300, 454, 453, 453, 7529, 3097, 453, 453, 24257, 1990, 815, 24430, 263, 274, 267, 7183, 264, 1341, 476, 273, 454, 453, 453, 24257, 1820, 18750, 994, 453, 453, 309, 541, 8443, 276, 3910, 7183, 2020, 453, 453, 24257, 1990, 815, 24430, 263, 274, 264, 1341, 24430, 263, 275, 994, 453, 453, 24257, 1820, 18750, 994, 453, 453, 309, 541, 8443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6925, 543, 12052, 2160, 6481, 4741, 3409, 1346, 945, 4235, 2732, 2571, 10425, 616, 476, 6246, 829, 1298, 811, 2693, 547, 723, 2295, 6285, 267, 15466, 2068, 610, 18116, 982, 1346, 945, 723, 9039, 563, 28095, 2079, 540, 2571, 10425, 814, 3254, 602, 519, 2571, 10425, 267, 799, 723, 513, 8101, 2179, 540, 5841, 6653, 22211, 267, 666, 2014, 6797, 2068, 2147, 547, 602, 3361, 676, 5312, 29015, 563, 262, 291, 2884, 262, 535, 714, 5414, 10425, 616, 30630, 607, 513, 2635, 4781, 538, 6476, 547, 1412, 21459, 3170, 262, 8925, 607, 789, 723, 7864, 8477, 563, 3719, 741, 9758, 1072, 2640, 2611, 15458, 267, 609, 930, 1382, 11021, 789, 9594, 1004, 781, 12608, 2572, 1256, 811, 563, 7804, 670, 20087, 8493, 10273, 781, 1382, 6700, 1412, 534, 7681, 1063, 3232, 2732, 535, 714, 5414, 4235, 4616, 543, 15466, 4093, 7055, 763, 772, 2529, 269, 1382, 2319, 6594, 519, 2571, 4235, 543, 2732, 2571, 4235, 4616, 540, 476, 273, 267, 276, 5038, 1353, 5171, 936, 513, 476, 1015, 4458, 1974, 910, 2059, 609, 741, 1981, 540, 8482, 267, 2295, 4323, 543, 15466, 2669, 563, 5445, 1336, 1346, 945, 1743, 1678, 2732, 2571, 10425, 1169, 1554, 941, 476, 6246, 829, 1298, 811, 2693, 547, 723, 11124, 513, 1412, 341, 6018, 262, 610, 1973, 6077, 2680, 982, 1346, 945, 1743, 1678, 9039, 267, 1310, 3850, 585, 840, 25365, 15466, 2175, 971, 607, 10894, 6794, 267, 3987, 543, 1164, 1973, 2604, 563, 16039, 8493, 10273, 1767, 281, 1412, 5978, 2164, 2303, 513, 1761, 7681, 1063, 3232, 2732, 2571, 4235, 4616, 543, 15466, 4093, 563, 31415, 515, 6127, 676, 799, 2571, 10425, 949, 1860, 15466, 2621, 616, 15458, 25692, 9515, 3773, 267, 2705, 267, 602, 519, 6127, 676, 799, 2571, 10425, 949, 1860, 1412, 341, 6018, 2621, 262, 616, 711, 2312, 267, 543, 602, 811, 1382, 729, 2877, 883, 519, 1641, 1354, 1713, 8753, 1223, 581, 6537, 827, 519, 1072, 4539, 540, 2571, 4235, 4616, 563, 291, 2884, 2571, 10425, 1419, 2270, 5841, 6653, 22211, 899, 607, 4820, 877, 267, 799, 814, 1044, 5532, 547, 824, 1072, 2042, 971, 607, 2860, 269, 1717, 547, 4266, 267, 646, 987, 4585, 323, 9233, 267, 1519, 519, 5177, 781, 5253, 11621, 10837, 267, 723, 12199, 856, 1022, 3095, 547, 2192, 268, 8234, 563, 763, 5767, 1353, 5526, 538, 519, 4750, 540, 4937, 18378, 6925, 563, 7197, 14478, 5240, 7044, 454, 268, 6739, 5794, 10414, 24667, 12838, 19666, 25224, 338, 585, 18293, 31959, 454, 268, 13584, 17722, 281, 8176, 543, 6682, 8759, 3643, 3057, 331, 28386, 5600, 25052, 454, 268, 13584, 17722, 543, 25905, 10906, 17254, 326, 548, 3045, 23395, 6278, 454, 268, 13584, 540, 12986, 568, 2938, 6028, 6489, 7717, 16836, 538, 513, 23592, 454, 268, 17318, 2736, 1524, 7450, 547, 10654, 812, 585, 1412, 3691, 2286, 262, 13044, 3652, 454, 268, 24581, 6704, 23162, 1412, 515, 29993, 262, 15824, 23361, 609, 513, 5672, 515, 974, 454, 268, 16763, 5459, 281, 13584, 17722, 1031, 547, 1412, 4148, 7398, 609, 519, 10348, 782, 519, 942, 7055, 268, 4032, 612, 540, 24380, 16303, 543, 8250, 2938, 6972, 1524, 1164, 8265, 454, 268, 623, 10154, 9947, 528, 281, 13584, 5261, 543, 16452, 678, 3424, 949, 31083, 20760, 24133, 454, 268, 32130, 31959, 538, 6489, 7717, 585, 16099, 540, 25470, 24133, 31667, 531, 454, 268, 590, 2403, 9168, 8092, 681, 1478, 786, 3560, 13584, 17722, 781, 30756, 514, 454, 268, 21977, 4108, 5996, 1195, 3560, 338, 13688, 8015, 13253, 609, 6576, 0, 3725, 10589, 547, 281, 6657, 267, 7991, 454, 1103, 713, 1433, 3184, 267, 5576, 334, 821, 557, 671, 339, 13187, 602, 606, 32687, 1505, 267, 799, 646, 6257, 607, 513, 10319, 18837, 1935, 267, 568, 2838, 547, 1711, 1702, 267, 4194, 29063, 2042, 267, 8207, 7526, 267, 610, 1118, 7104, 3664, 269, 901, 1935, 568, 3730, 585, 10128, 519, 15998, 540, 7463, 1702, 883, 3677, 267, 543, 267, 23248, 267, 811, 3730, 4773, 269, 3571, 1505, 14439, 543, 12204, 11353, 543, 4773, 540, 3621, 543, 824, 840, 25365, 3029, 540, 7463, 1702, 998, 1614, 3157, 912, 1700, 7010, 11837, 454, 1700, 12745, 2079, 454, 1700, 808, 12127, 1177, 8367, 5250, 454, 1103, 713, 1935, 267, 972, 568, 1100, 840, 25365, 5943, 282, 519, 2963, 5932, 1312, 519, 5943, 543, 519, 3070, 269, 3962, 4062, 540, 1702, 1152, 814, 2495, 1369, 519, 14820, 543, 12191, 538, 799, 621, 729, 2813, 269, 4935, 23072, 1098, 13694, 960, 3096, 519, 18837, 1935, 607, 519, 13865, 5943, 610, 14820, 563, 1607, 5758, 729, 2919, 689, 519, 1739, 1433, 3184, 912, 306, 11155, 913, 671, 339, 808, 269, 630, 1001, 271, 264, 2048, 28274, 7463, 1702, 9957, 769, 966, 6993, 269, 9466, 267, 808, 6993, 269, 20831, 543, 808, 28629, 269, 21651, 630, 2644, 264, 570, 871, 1782, 29063, 2042, 998, 519, 1098, 13694, 9345, 269, 2423, 2195, 4754, 13456, 267, 5507, 267, 6032, 476, 16928, 910, 15704, 269, 0, 268, 1879, 594, 1101, 3323, 547, 1374, 7270, 267, 2507, 821, 540, 519, 1919, 602, 2731, 21616, 803, 2507, 13195, 602, 3025, 1175, 8604, 547, 8263, 2507, 7474, 594, 2907, 6785, 875, 547, 798, 1978, 1919, 269, 2507, 2690, 1383, 267, 1100, 835, 2479, 2731, 5143, 803, 2507, 1492, 1697, 1259, 547, 2497, 1250, 7270, 269, 2507, 2005, 729, 1175, 835, 540, 1346, 1919, 267, 594, 7058, 267, 2507, 7474, 3025, 1175, 4990, 540, 10924, 594, 6785, 875, 547, 798, 269, 2507, 3383, 594, 1616, 547, 1118, 2386, 602, 594, 4951, 596, 2507, 1492, 2596, 1785, 1005, 543, 14169, 540, 513, 2241, 3135, 269, 2507, 1607, 568, 2469, 547, 948, 596, 267, 594, 4126, 267, 2507, 17839, 543, 2497, 707, 1378, 3785, 269, 2507, 2026, 1134, 607, 2327, 602, 596, 616, 1785, 1005, 1919, 2507, 514, 519, 1034, 3608, 1259, 2009, 269, 7498, 2791, 666, 1294, 267, 593, 1250, 18376, 267, 594, 723, 513, 17835, 1572, 2263, 269, 2507, 296, 4312, 3893, 513, 2370, 3896, 538, 1934, 269, 2507, 3528, 519, 1259, 267, 594, 1810, 1405, 1020, 593, 519, 18376, 269, 2507, 2005, 781, 1175, 519, 2973, 652, 1259, 547, 1397, 713, 547, 596, 269, 2507, 3383, 950, 594, 1930, 713, 909, 267, 1934, 616, 1250, 6119, 543, 32766, 269, 2507, 4517, 713, 568, 2965, 513, 3896, 269, 2507, 8253, 513, 1360, 1950, 835, 267, 855, 621, 568, 513, 3896, 269, 2507, 3086, 972, 616, 513, 7008, 540, 1919, 2507, 7474, 594, 1616, 547, 1448, 856, 547, 596, 269, 2507, 10831, 835, 267, 621, 781, 2731, 1175, 513, 4015, 7498, 268, 1548, 568, 1357, 1374, 888, 268, 1548, 568, 513, 1357, 14704, 888, 268, 4804, 547, 3009, 454, 268, 19805, 513, 1357, 3984, 454, 268, 11554, 609, 513, 595, 5960, 454, 268, 10289, 875, 7270, 616, 11295, 454, 268, 19805, 707, 5943, 610, 3301, 454, 268, 27588, 609, 4441, 543, 10333, 538, 2247, 454, 20597, 650, 5426, 10670, 1676, 454, 272, 269, 10289, 5680, 5071, 454, 273, 269, 634, 12197, 540, 5680, 5071, 454, 274, 269, 15775, 29035, 454, 275, 269, 10289, 13088, 454, 276, 269, 4804, 5680, 5071, 454, 268, 4460, 607, 7938, 520, 3481, 454, 268, 4460, 782, 607, 7938, 520, 3481, 454, 6701, 596, 2386, 596, 1616, 547, 1665, 782, 519, 7044, 538, 713, 1576, 607, 7938, 520, 3481, 888, 1607, 786, 711, 1860, 707, 1576, 1686, 267, 707, 5359, 267, 610, 707, 22783, 540, 12032, 585, 713, 1576, 5861, 30327, 454, 12648, 4967, 609, 707, 1007, 15376, 2336, 13911, 538, 519, 7127, 4216, 267, 1287, 4945, 9373, 547, 4688, 707, 4063, 563, 272, 281, 1789, 18208, 593, 1022, 3381, 14853, 333, 841, 547, 7914, 5612, 547, 519, 942, 13892, 3254, 563, 24687, 616, 10710, 609, 596, 2272, 855, 666, 849, 581, 29633, 607, 10750, 1257, 267, 9049, 6478, 267, 7300, 267, 5616, 9022, 267, 610, 17451, 16694, 269, 0, 8070, 532, 589, 15789, 8946, 2969, 7861, 1559, 12171, 768, 6819, 589, 20591, 306, 12224, 9569, 11123, 1715, 9812, 454, 5472, 936, 519, 1158, 267, 1164, 7779, 6616, 1935, 5673, 2390, 519, 4396, 569, 6896, 6437, 269, 5047, 267, 513, 5265, 1606, 3481, 27968, 6030, 13352, 519, 3003, 6267, 7569, 269, 16480, 267, 891, 2395, 267, 621, 779, 2182, 547, 4585, 8101, 3872, 2640, 1851, 519, 1082, 1459, 27466, 525, 269, 901, 568, 513, 12343, 540, 1004, 22293, 856, 540, 519, 1697, 1505, 540, 1603, 513, 1576, 4452, 269, 15380, 267, 519, 2165, 540, 6437, 28420, 513, 3099, 540, 2866, 1949, 1808, 585, 596, 547, 948, 519, 6267, 269, 589, 1982, 4749, 786, 2154, 2949, 3853, 543, 6859, 7132, 3875, 14292, 5049, 543, 513, 7008, 540, 1360, 5363, 4025, 269, 898, 779, 1898, 547, 4879, 930, 3730, 2409, 585, 20171, 513, 3292, 865, 607, 547, 5818, 519, 2698, 7607, 563, 292, 6123, 540, 513, 5358, 454, 10376, 2178, 3292, 568, 5462, 676, 519, 2298, 538, 519, 2079, 269, 4935, 267, 621, 779, 2629, 547, 11883, 609, 1169, 835, 540, 1614, 4773, 267, 607, 606, 1383, 2073, 912, 268, 1360, 2312, 4051, 633, 9072, 454, 268, 2731, 1808, 14292, 5773, 454, 268, 22041, 8369, 3926, 563, 763, 6030, 568, 1419, 513, 3532, 3760, 602, 1193, 1161, 547, 27464, 1142, 13215, 543, 4543, 269, 769, 513, 21055, 2631, 267, 1142, 1982, 786, 581, 16539, 538, 2047, 883, 513, 1880, 1184, 912, 268, 1985, 2757, 29476, 454, 268, 8446, 540, 10453, 13821, 454, 268, 3067, 16666, 4566, 454, 268, 3730, 1544, 454, 268, 2079, 543, 6114, 563, 1805, 10107, 609, 5871, 3026, 947, 885, 454, 21430, 606, 3608, 1576, 4452, 267, 596, 723, 547, 3605, 519, 3804, 538, 713, 1544, 269, 3487, 21871, 267, 519, 1871, 949, 1175, 581, 538, 13076, 609, 10372, 610, 7294, 9623, 267, 610, 3274, 1239, 269, 14936, 267, 713, 1062, 2731, 1058, 7127, 3044, 4441, 2043, 7132, 7369, 519, 4093, 563, 19547, 1254, 540, 22996, 21976, 454, 2304, 5393, 3810, 2500, 1576, 4452, 991, 547, 17412, 513, 1808, 2866, 7934, 607, 1134, 607, 2409, 547, 922, 10916, 269, 901, 19329, 930, 4543, 9623, 267, 538, 1931, 547, 2743, 1982, 4441, 538, 519, 1880, 3077, 5304, 269, 3958, 267, 596, 1522, 1616, 547, 9414, 519, 2230, 6818, 269, 769, 1840, 267, 621, 779, 5363, 547, 2709, 513, 3099, 540, 13311, 2360, 689, 707, 2230, 563, 23797, 16666, 543, 849, 3982, 27606, 3761, 519, 13588, 1818, 946, 540, 1808, 6788, 3330, 1544, 269, 19452, 267, 621, 779, 849, 3079, 519, 3407, 7872, 950, 14045, 593, 930, 2866, 1505, 269, 2201, 1283, 540, 602, 267, 713, 949, 849, 948, 547, 6430, 2390, 1318, 2409, 585, 8521, 5765, 3833, 513, 1906, 1296, 6268, 269, 24511, 267, 6859, 8237, 883, 11207, 1114, 12205, 2285, 621, 942, 547, 581, 4443, 547, 9585, 873, 1247, 538, 519, 6437, 563, 1607, 4062, 786, 4125, 1565, 547, 946, 12284, 4974, 1927, 609, 979, 998, 2059, 609, 6044, 5773, 269, 769, 1840, 267, 713, 666, 948, 547, 8275, 14724, 2081, 540, 1870, 5870, 6859, 269, 4746, 267, 621, 6257, 513, 1505, 540, 8159, 519, 1279, 2196, 22920, 609, 519, 1062, 269, 26243, 267, 513, 5265, 1790, 10517, 1563, 1604, 568, 9090, 513, 1883, 3903, 602, 10597, 1053, 1995, 563, 24066, 6672, 543, 16376, 25746, 454, 2467, 779, 1713, 547, 3715, 513, 8369, 1184, 7142, 547, 1205, 4448, 547, 519, 2104, 2773, 689, 707, 6267, 269, 15742, 569, 267, 1818, 946, 540, 8292, 13071, 596, 2268, 519, 4398, 593, 519, 1544, 269, 1703, 616, 7899, 540, 12204, 540, 8369, 267, 1519, 3875, 6060, 3029, 610, 26830, 267, 610, 3551, 7422, 267, 610, 1585, 1362, 19929, 269, 13018, 267, 782, 2164, 540, 519, 2866, 1576, 666, 581, 9672, 593, 519, 8292, 563, 4002, 519, 2898, 267, 4947, 909, 609, 513, 1576, 2306, 621, 2009, 585, 519, 5304, 1413, 1472, 519, 19957, 2898, 1158, 540, 4742, 5432, 609, 538, 519, 1858, 676, 799, 269, 853, 10107, 609, 2295, 2947, 2241, 3268, 540, 6721, 513, 1982, 267, 1118, 606, 9375, 513, 3313, 547, 1373, 3811, 563, 303, 18166, 513, 12031, 585, 546, 27186, 568, 606, 1271, 4015, 540, 8480, 338, 267, 945, 616, 6098, 693, 23478, 519, 3810, 2500, 17003, 547, 1711, 519, 6225, 1118, 606, 3801, 547, 11570, 267, 602, 798, 713, 519, 476, 272, 560, 942, 269, 589, 12031, 568, 9090, 513, 12675, 1505, 585, 13167, 538, 1899, 609, 519, 1382, 269, 901, 1257, 20186, 519, 16970, 267, 942, 23824, 267, 4749, 27071, 543, 771, 24711, 2287, 2259, 267, 799, 19329, 519, 9645, 12191, 269, 9603, 547, 519, 1249, 267, 3592, 3025, 267, 945, 779, 606, 5499, 635, 518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5286, 27769, 10946, 6025, 1778, 318, 312, 267, 7852, 284, 272, 1040, 339, 565, 626, 4590, 2018, 1582, 269, 1575, 11907, 318, 310, 6025, 1778, 318, 311, 267, 1293, 267, 16771, 994, 2018, 1293, 6834, 476, 272, 454, 1038, 2132, 1582, 15030, 692, 825, 1219, 5721, 318, 14310, 4311, 2187, 1038, 3339, 318, 311, 4311, 269, 311, 994, 1038, 5721, 318, 312, 815, 1582, 269, 311, 31715, 4311, 15030, 994, 1038, 16771, 815, 5286, 27769, 10946, 6025, 1778, 318, 312, 267, 7852, 284, 272, 1040, 339, 565, 626, 4590, 1038, 1948, 2745, 630, 7773, 1676, 994, 1038, 2132, 16771, 692, 3698, 3339, 318, 311, 11583, 2187, 825, 8173, 825, 2433, 12407, 2473, 281, 11590, 490, 14756, 368, 419, 509, 358, 421, 502, 369, 8147, 301, 265, 291, 8147, 301, 14748, 291, 14756, 368, 7511, 12255, 29004, 362, 454, 825, 2433, 8873, 281, 13127, 364, 484, 311, 25051, 496, 13601, 25060, 500, 7511, 14756, 497, 31563, 454, 825, 8173, 825, 715, 267, 667, 815, 2473, 17482, 454, 825, 585, 1775, 538, 2039, 18217, 2187, 1038, 10917, 815, 5286, 27904, 18828, 6230, 738, 17586, 11583, 5157, 3910, 2473, 5157, 28413, 1038, 2473, 5157, 316, 1315, 284, 5286, 28460, 6025, 11391, 994, 825, 2132, 2473, 454, 3698, 3339, 318, 310, 263, 310, 2187, 825, 8173, 825, 2433, 12407, 654, 281, 11590, 490, 14756, 368, 419, 509, 358, 421, 502, 369, 8147, 291, 16732, 333, 265, 332, 264, 8147, 291, 14748, 333, 265, 332, 14756, 368, 7511, 12255, 29004, 362, 454, 825, 2433, 8873, 281, 13127, 364, 484, 310, 25051, 496, 13601, 25060, 500, 7511, 14756, 497, 31563, 454, 825, 8173, 825, 585, 1775, 538, 2039, 263, 310, 17482, 314, 272, 316, 2187, 1038, 10917, 815, 5286, 27904, 18828, 6230, 738, 17586, 263, 310, 18020, 328, 3910, 654, 18020, 328, 28413, 1038, 654, 18020, 1775, 316, 1315, 284, 5286, 28460, 6025, 11391, 994, 825, 2132, 654, 692, 258, 13200, 375, 18713, 378, 454, 3698, 2721, 18154, 2187, 825, 897, 19368, 815, 18358, 337, 3299, 1412, 344, 3299, 1412, 326, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 330, 3299, 1412, 332, 23300, 825, 585, 1775, 538, 2039, 12759, 18154, 15892, 1038, 1071, 334, 318, 311, 815, 32582, 825, 1948, 343, 417, 507, 494, 21550, 485, 28578, 23989, 454, 1038, 1071, 334, 318, 312, 815, 32582, 825, 1948, 344, 417, 507, 494, 21550, 485, 28578, 23989, 454, 1038, 585, 795, 538, 2039, 12759, 18154, 5157, 8079, 2187, 2018, 1071, 334, 318, 311, 6910, 18154, 5157, 6012, 329, 6012, 271, 7481, 2018, 1071, 334, 318, 312, 6910, 18154, 5157, 6012, 329, 6012, 272, 7481, 1038, 726, 31892, 2660, 263, 1723, 334, 318, 311, 267, 1071, 334, 318, 312, 267, 15262, 8782, 343, 3299, 2681, 284, 3712, 19368, 5157, 260, 6352, 263, 3712, 19368, 264, 3910, 6003, 284, 328, 2020, 825, 726, 269, 5586, 754, 10857, 665, 8782, 21639, 1318, 5073, 825, 726, 20481, 10797, 323, 21648, 564, 815, 5286, 269, 3901, 16597, 994, 323, 21648, 564, 318, 1245, 815, 10471, 6983, 4878, 10797, 338, 558, 815, 590, 6865, 5560, 21648, 564, 267, 630, 276, 267, 476, 276, 1070, 476, 272, 267, 476, 1789, 994, 338, 558, 6745, 1778, 4590, 637, 815, 1474, 6745, 1778, 318, 14310, 4590, 5035, 1518, 815, 31460, 1721, 1775, 267, 3094, 538, 26246, 263, 637, 2187, 825, 952, 711, 19665, 10947, 263, 7773, 314, 271, 316, 2187, 1038, 19665, 15630, 29239, 263, 7773, 314, 271, 3910, 1496, 328, 7481, 825, 3116, 912, 1038, 19665, 314, 7773, 314, 271, 316, 4940, 6572, 9217, 994, 290, 815, 32582, 258, 10951, 359, 25051, 496, 13601, 25060, 500, 7511, 12255, 29004, 362, 26166, 32352, 14756, 497, 31563, 454, 291, 815, 32582, 258, 25051, 496, 13601, 25060, 500, 7511, 12255, 29004, 362, 26166, 32352, 14756, 497, 31563, 454, 1721, 1775, 538, 19665, 269, 11161, 10031, 825, 595, 6910, 5560, 21648, 564, 318, 1245, 5157, 4940, 339, 565, 626, 15405, 825, 667, 6910, 5560, 21648, 564, 5157, 4940, 339, 565, 626, 15405, 9526, 18154, 994, 9526, 20573, 9239, 258, 12693, 9208, 5314, 543, 10439, 5314, 692, 258, 769, 314, 6246, 28660, 454, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 454, 343, 14067, 323, 815, 9208, 306, 5632, 518, 14061, 7257, 4671, 4920, 845, 3287, 994, 335, 8619, 815, 7193, 288, 3799, 318, 4818, 7859, 284, 273, 994, 335, 8619, 318, 273, 323, 14067, 323, 815, 533, 8619, 32265, 4671, 4920, 845, 3287, 14067, 323, 9239, 258, 769, 314, 4510, 28660, 454, 10823, 8807, 2682, 6600, 12127, 1125, 815, 630, 1626, 267, 476, 1556, 4917, 10823, 31892, 2660, 9638, 8619, 318, 273, 323, 14067, 323, 18020, 271, 3910, 533, 8619, 318, 273, 323, 14067, 323, 18020, 272, 3910, 524, 284, 339, 13759, 267, 4699, 777, 815, 834, 305, 323, 312, 331, 294, 333, 2580, 6316, 10233, 815, 834, 14085, 2580, 13672, 815, 476, 271, 269, 3374, 994, 10823, 26644, 3488, 303, 7563, 2480, 2660, 18140, 5073, 10823, 20481, 30800, 258, 15981, 3901, 18350, 454, 258, 1599, 1496, 324, 580, 19066, 267, 552, 580, 7407, 316, 815, 7193, 288, 16597, 267, 3681, 994, 258, 4939, 303, 7563, 453, 32459, 7625, 3281, 9426, 5811, 454, 258, 4939, 454, 258, 4939, 453, 5825, 720, 912, 258, 4939, 11434, 1496, 324, 580, 19066, 267, 552, 580, 7407, 316, 815, 7193, 288, 16597, 267, 3681, 994, 258, 4939, 11434, 1496, 324, 580, 19066, 267, 552, 580, 7407, 316, 815, 7193, 288, 16597, 994, 258, 4939, 454, 258, 4939, 17264, 18452, 912, 258, 4939, 25639, 1239, 11434, 910, 4578, 5119, 269, 3962, 4737, 6152, 540, 905, 320, 568, 513, 1239, 1448, 563, 258, 4939, 454, 258, 4939, 672, 3681, 10611, 9254, 1027, 291, 574, 567, 910, 634, 10155, 1275, 540, 519, 4389, 1016, 11898, 269, 1403, 476, 271, 2676, 258, 4939, 4449, 1363, 782, 519, 7516, 786, 581, 6854, 563, 258, 4939, 4449, 1363, 4347, 5435, 568, 476, 271, 563, 258, 4939, 454, 258, 4939, 17264, 19243, 912, 258, 4939, 25639, 552, 580, 19066, 910, 3962, 6241, 568, 606, 32750, 1599, 267, 585, 513, 1007, 454, 258, 4939, 4449, 19930, 1239, 1448, 630, 992, 6152, 264, 1535, 267, 476, 586, 815, 1535, 265, 324, 580, 19066, 454, 258, 4939, 4449, 19930, 786, 581, 519, 32750, 1267, 540, 1535, 563, 258, 4939, 25639, 552, 580, 7407, 476, 910, 634, 15044, 552, 580, 7407, 540, 7193, 288, 14802, 3491, 12378, 563, 258, 4939, 454, 258, 4939, 453, 14300, 912, 258, 4939, 476, 4848, 453, 10623, 320, 815, 28219, 263, 278, 267, 1015, 11850, 258, 4939, 19930, 3681, 17342, 30092, 258, 4939, 19930, 3681, 10611, 9254, 1027, 291, 574, 284, 275, 3248, 258, 4939, 476, 4848, 453, 314, 324, 580, 19066, 267, 324, 580, 7407, 316, 815, 7193, 288, 6600, 20660, 267, 275, 11850, 258, 4939, 19930, 962, 815, 905, 320, 265, 324, 580, 19066, 3248, 258, 4939, 454, 258, 4939, 567, 4528, 476, 274, 269, 271, 4534, 13356, 270, 1001, 272, 454, 258, 4939, 567, 4528, 476, 273, 269, 273, 4534, 15037, 270, 1220, 280, 454, 258, 4939, 567, 4528, 476, 273, 269, 272, 4534, 18907, 270, 1220, 278, 454, 258, 4939, 567, 4528, 476, 273, 269, 271, 4534, 9802, 270, 1220, 278, 454, 258, 4939, 567, 4528, 476, 272, 269, 272, 4534, 15037, 270, 1220, 277, 454, 258, 4939, 567, 4528, 476, 272, 269, 271, 4534, 19688, 270, 1220, 275, 454, 258, 4939, 454, 258, 4939, 567, 18838, 676, 667, 1263, 595, 2967, 630, 323, 1263, 322, 2967, 11083, 575, 21166, 2593, 994, 258, 4939, 454, 258, 3097, 258, 952, 630, 349, 1410, 626, 3488, 9953, 687, 12887, 12534, 29125, 258, 672, 3681, 815, 1496, 30092, 258, 1439, 454, 258, 3097, 258, 25841, 291, 574, 815, 476, 271, 3248, 258, 952, 568, 7615, 263, 9953, 687, 10086, 24965, 1027, 291, 574, 5073, 258, 672, 25841, 291, 574, 815, 3681, 10611, 9254, 1027, 291, 574, 3248, 258, 1439, 454, 258, 3097, 258, 3097, 258, 1496, 333, 306, 5404, 19885, 8722, 320, 316, 815, 2450, 16597, 11850, 258, 952, 630, 24965, 1027, 291, 574, 3436, 562, 8722, 320, 264, 13466, 630, 24965, 1027, 291, 574, 10922, 271, 994, 258, 672, 25841, 291, 574, 815, 562, 8722, 320, 3248, 258, 1439, 454, 258, 3097, 258, 3097, 258, 952, 1615, 27785, 16597, 994, 258, 672, 1239, 815, 2407, 16597, 11850, 258, 1439, 454, 258, 3732, 13614, 815, 1611, 16597, 267, 272, 11850, 258, 1239, 815, 630, 11907, 910, 1065, 3901, 4433, 2217, 13614, 19885, 306, 5404, 267, 272, 4297, 3248, 258, 3097, 258, 1496, 324, 580, 19066, 267, 552, 580, 7407, 316, 815, 1250, 306, 13748, 16597, 3299, 24965, 1027, 291, 574, 11850, 258, 552, 580, 7407, 815, 2407, 5560, 328, 698, 16216, 580, 7407, 26895, 317, 273, 3248, 258, 3097, 258, 952, 568, 7615, 263, 9953, 687, 10086, 15425, 2752, 26559, 5073, 258, 672, 2040, 292, 580, 815, 2040, 16216, 580, 7407, 11850, 258, 672, 2040, 292, 580, 815, 2040, 292, 580, 265, 9953, 687, 10422, 290, 2752, 26559, 3248, 258, 672, 2040, 3086, 815, 476, 271, 3248, 258, 672, 585, 7329, 343, 815, 476, 272, 281, 26319, 16216, 580, 7407, 994, 258, 1363, 2040, 3086, 815, 2040, 3086, 1341, 552, 580, 7407, 263, 30915, 11850, 258, 1363, 952, 2040, 3086, 13843, 2040, 292, 580, 454, 258, 17264, 2736, 3248, 258, 1363, 1439, 454, 258, 672, 1439, 454, 258, 672, 552, 580, 19066, 815, 552, 580, 19066, 263, 281, 267, 272, 281, 30915, 11850, 258, 1439, 454, 258, 15981, 692, 258, 769, 314, 2420, 28660, 454, 5814, 4351, 454, 5814, 21267, 28272, 607, 12301, 692, 5814, 4351, 454, 3698, 2332, 20479, 299, 9707, 9852, 267, 562, 2567, 476, 1948, 544, 20992, 419, 360, 508, 11590, 487, 31271, 480, 420, 488, 480, 30536, 12255, 25203, 362, 5405, 505, 333, 20992, 30006, 493, 22047, 420, 488, 480, 30536, 7511, 14756, 368, 18021, 355, 454, 825, 6106, 815, 11713, 825, 4351, 269, 23092, 4590, 825, 585, 1775, 538, 2039, 9852, 2187, 1038, 1770, 815, 32582, 476, 1948, 17276, 363, 493, 22047, 420, 488, 480, 30536, 454, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 1770, 6910, 263, 1037, 263, 12690, 20179, 19572, 273, 4917, 1038, 6106, 6910, 263, 22780, 994, 825, 2132, 6106, 692, 332, 815, 476, 276, 454, 333, 815, 476, 273, 454, 331, 16558, 815, 2332, 20479, 299, 9707, 9852, 267, 562, 994, 2745, 2891, 20479, 6106, 24333, 6106, 2020, 5814, 11885, 7456, 1400, 326, 607, 15829, 476, 1948, 476, 18777, 350, 28997, 501, 420, 490, 481, 12255, 454, 5814, 2979, 692, 3698, 3339, 1436, 17635, 2567, 476, 1948, 642, 20992, 12571, 495, 19404, 493, 454, 825, 2343, 815, 15829, 8542, 768, 17635, 267, 476, 273, 264, 476, 1948, 476, 18777, 350, 28997, 501, 273, 420, 490, 481, 12255, 454, 825, 642, 318, 2908, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 17635, 15892, 1038, 642, 318, 2908, 6910, 263, 1037, 17635, 5157, 316, 270, 17884, 267, 273, 4297, 476, 1948, 476, 32517, 507, 419, 499, 503, 273, 12916, 491, 16533, 493, 12255, 454, 825, 2132, 642, 318, 2908, 692, 3698, 3339, 1436, 309, 8266, 11583, 2567, 22322, 825, 2473, 318, 2908, 815, 11713, 825, 585, 1535, 538, 2473, 912, 1038, 2473, 318, 2908, 6910, 3799, 5436, 1436, 3287, 4917, 825, 2132, 2473, 318, 2908, 692, 3698, 1608, 13436, 640, 3287, 267, 586, 2567, 476, 1948, 476, 18777, 350, 28997, 501, 343, 11971, 4970, 353, 14748, 12571, 495, 19404, 493, 7511, 25203, 372, 25263, 376, 18021, 355, 454, 825, 952, 7003, 3287, 25631, 284, 6352, 12169, 2187, 1038, 6318, 834, 14756, 368, 18021, 355, 21251, 13601, 420, 485, 368, 5405, 479, 4840, 825, 524, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 3287, 15892, 1038, 524, 6834, 4073, 9230, 343, 5157, 316, 910, 586, 5157, 25818, 476, 273, 994, 825, 2132, 476, 2979, 28460, 6262, 2020, 3698, 1205, 310, 27903, 3287, 267, 6106, 2567, 476, 1948, 17276, 487, 378, 28996, 331, 16558, 19404, 490, 30837, 351, 4970, 492, 343, 31006, 25203, 372, 25263, 376, 7511, 420, 488, 480, 30536, 454, 825, 1948, 1535, 815, 3339, 1436, 3287, 994, 825, 1948, 6106, 815, 3339, 1436, 309, 8266, 10857, 16558, 994, 825, 1295, 19056, 815, 476, 1911, 1822, 476, 1948, 476, 11858, 502, 417, 480, 357, 31006, 419, 509, 511, 420, 371, 507, 419, 355, 375, 454, 825, 1295, 16229, 815, 910, 272, 476, 1948, 476, 11858, 502, 417, 480, 357, 420, 371, 509, 343, 31006, 25203, 372, 25263, 376, 420, 488, 480, 30536, 7511 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9039, 343, 11962, 269, 1306, 606, 1383, 519, 1739, 6256, 5932, 1507, 10580, 538, 1114, 4778, 1759, 593, 519, 2990, 540, 519, 10856, 563, 288, 27732, 11439, 609, 519, 12319, 267, 666, 1376, 2679, 3756, 543, 711, 1445, 593, 519, 5943, 689, 519, 1376, 563, 763, 17498, 728, 540, 4393, 568, 602, 621, 779, 5631, 1500, 585, 2069, 5301, 543, 7317, 1148, 269, 901, 5795, 519, 1739, 2042, 912, 763, 7829, 540, 5905, 2621, 568, 711, 17411, 538, 513, 8799, 6073, 267, 14409, 814, 1152, 814, 513, 10206, 540, 10856, 30390, 543, 666, 1406, 6023, 1617, 527, 13224, 269, 594, 12193, 713, 1210, 513, 18660, 11360, 1141, 519, 2990, 540, 519, 10856, 543, 711, 519, 30390, 568, 1031, 267, 543, 1142, 7406, 519, 2022, 687, 568, 19268, 865, 513, 1689, 538, 2990, 6920, 513, 4945, 269, 901, 568, 519, 2601, 602, 519, 3756, 1281, 711, 960, 9985, 593, 18376, 26292, 563, 2005, 779, 2182, 547, 1205, 621, 547, 960, 538, 513, 17841, 6073, 563, 2005, 779, 729, 8385, 8045, 538, 28162, 543, 596, 666, 2995, 621, 779, 513, 2823, 543, 711, 1357, 1101, 269, 634, 1292, 1966, 568, 519, 1646, 1184, 513, 17079, 568, 711, 4080, 538, 1022, 3730, 1259, 799, 2306, 621, 513, 1928, 547, 3181, 1872, 563, 2005, 779, 10434, 547, 2170, 609, 519, 667, 6865, 563, 288, 1259, 547, 1205, 1472, 930, 540, 891, 2042, 568, 547, 946, 713, 5140, 314, 2169, 3290, 316, 630, 10059, 2517, 326, 603, 889, 2593, 27798, 843, 553, 303, 10768, 3682, 22422, 297, 306, 264, 799, 2306, 621, 17841, 543, 5985, 7874, 563, 763, 2497, 540, 513, 3014, 454, 10376, 3014, 6238, 609, 513, 16814, 3758, 602, 13907, 519, 5943, 543, 519, 524, 1087, 2838, 547, 1118, 621, 17841, 267, 2063, 569, 621, 13907, 1896, 1547, 335, 1372, 6119, 543, 5932, 513, 17198, 454, 763, 1985, 1900, 568, 547, 4452, 519, 2592, 2838, 267, 713, 568, 2944, 609, 519, 840, 30112, 1463, 633, 454, 270, 265, 7711, 335, 329, 338, 840, 2903, 6889, 13548, 272, 27970, 21968, 2608, 32551, 1510, 891, 519, 3756, 786, 2196, 1354, 519, 2592, 616, 16041, 543, 2736, 269, 4635, 891, 1463, 1161, 621, 779, 2241, 547, 1711, 513, 15205, 5496, 543, 4336, 519, 2592, 2899, 789, 616, 16041, 269, 634, 454, 9526, 3252, 616, 5116, 538, 519, 3758, 3009, 4877, 1372, 799, 8060, 519, 3014, 779, 1533, 543, 519, 4295, 3014, 7954, 269, 3962, 3014, 814, 513, 3758, 3014, 4877, 1372, 602, 3568, 519, 1239, 3889, 543, 5049, 585, 1142, 3014, 563, 763, 943, 335, 6119, 616, 1031, 547, 6494, 543, 23074, 519, 6060, 547, 513, 6538, 563, 763, 3965, 3014, 454, 1607, 3014, 4305, 519, 6345, 547, 3314, 606, 2479, 2810, 5311, 540, 17981, 269, 769, 519, 1101, 1377, 519, 3593, 568, 3254, 1614, 17981, 22921, 689, 835, 547, 1614, 269, 2991, 519, 22245, 8255, 856, 519, 2338, 616, 6456, 543, 519, 6345, 1590, 3314, 741, 1931, 563, 763, 3014, 729, 1500, 547, 1397, 602, 649, 666, 968, 339, 4459, 892, 938, 2247, 883, 19551, 811, 1344, 676, 13936, 621, 7561, 269, 3689, 519, 3214, 1185, 547, 2638, 875, 789, 5340, 950, 3843, 547, 3314, 519, 7158, 540, 1142, 22739, 269, 2991, 2072, 789, 3079, 941, 5143, 547, 3314, 519, 2619, 543, 5469, 875, 789, 5340, 1732, 563, 763, 3014, 779, 7954, 6801, 609, 2870, 513, 7470, 540, 513, 22739, 1362, 267, 799, 6585, 519, 2990, 606, 1871, 585, 1142, 22739, 267, 543, 27875, 2409, 585, 15720, 270, 3333, 12976, 873, 543, 5373, 519, 269, 634, 3014, 14477, 26717, 17981, 7222, 547, 1422, 263, 24038, 10831, 1341, 476, 273, 1422, 264, 16034, 873, 689, 1422, 263, 1496, 272, 267, 24038, 10831, 316, 1422, 264, 543, 14405, 873, 563, 763, 1533, 8520, 538, 3014, 4877, 1372, 6238, 513, 22245, 543, 7140, 17981, 950, 2877, 269, 1879, 519, 6345, 19380, 789, 616, 2016, 519, 4781, 540, 20171, 741, 6060, 610, 3843, 1586, 563, 763, 968, 339, 8475, 892, 3014, 454, 1607, 3014, 6799, 519, 6345, 609, 693, 3349, 602, 8952, 29957, 1524, 267, 693, 519, 5377, 540, 519, 5496, 568, 519, 1699, 968, 339, 2532, 892, 585, 519, 5377, 4737, 269, 634, 4305, 666, 581, 16116, 519, 2040, 540, 1079, 2338, 267, 16116, 513, 1297, 1422, 263, 333, 1422, 4700, 971, 602, 1422, 263, 476, 274, 1422, 333, 13232, 562, 1422, 1070, 3092, 269, 1403, 519, 6345, 14543, 513, 4305, 519, 4737, 4422, 2699, 543, 835, 3063, 4737, 786, 3251, 2699, 585, 519, 1964, 540, 519, 3014, 563, 763, 3804, 540, 519, 3014, 729, 547, 723, 519, 3214, 1265, 513, 1259, 540, 9319, 3257, 519, 4890, 19106, 543, 1265, 513, 4806, 602, 1223, 4194, 519, 4305, 267, 594, 4318, 1422, 263, 476, 276, 1422, 333, 13232, 562, 1422, 264, 666, 581, 12193, 1175, 676, 4466, 513, 1297, 602, 7475, 538, 476, 276, 610, 476, 271, 563, 763, 3014, 5932, 476, 276, 9343, 5627, 476, 277, 8320, 540, 519, 22739, 1362, 269, 634, 9343, 20801, 1524, 543, 950, 789, 5734, 519, 5377, 540, 519, 5496, 789, 616, 6410, 547, 519, 1283, 1586, 269, 1879, 513, 4737, 568, 968, 637, 564, 892, 519, 2338, 593, 519, 22739, 616, 4957, 865, 789, 3136, 519, 5311, 689, 519, 4737, 14282, 519, 1283, 602, 3884, 1406, 2699, 269, 634, 1875, 2699, 4737, 5008, 1115, 547, 519, 5377, 568, 519, 3742, 835, 602, 519, 1699, 4305, 1058, 581, 5340, 593, 269, 1403, 513, 4305, 568, 6192, 519, 4737, 7140, 4544, 543, 3742, 4737, 543, 1699, 4305, 568, 4957, 563, 763, 5114, 3014, 454, 1607, 3014, 4255, 519, 5716, 6547, 543, 2702, 547, 1685, 2241, 5042, 4247, 269, 898, 729, 6273, 676, 519, 15506, 752, 4604, 454, 763, 6345, 814, 547, 5734, 513, 9138, 1297, 540, 9136, 538, 519, 3113, 267, 1354, 519, 942, 8255, 856, 563, 763, 4604, 568, 2813, 676, 8216, 11868, 513, 4604, 1362, 799, 538, 2490, 8216, 28179, 513, 3126, 540, 9136, 269, 634, 9136, 616, 2182, 322, 10757, 547, 1397, 909, 538, 519, 29221, 339, 752, 4604, 0, 763, 2052, 749, 19687, 616, 513, 1507, 9341, 2030, 1920, 540, 23599, 4054, 267, 10355, 3529, 7410, 543, 19211, 267, 609, 513, 771, 31019, 12136, 1063, 9341, 543, 31210, 3013, 630, 1492, 12144, 16323, 267, 22728, 28573, 543, 3162, 3013, 264, 543, 4000, 630, 32743, 27377, 543, 8109, 4000, 1916, 4692, 749, 19687, 2249, 689, 519, 4639, 28851, 267, 16887, 519, 7839, 2052, 7578, 5162, 3570, 12821, 1068, 333, 563, 5278, 2249, 540, 2052, 749, 19687, 616, 849, 1031, 547, 6952, 12354, 22455, 267, 595, 4883, 600, 30705, 1258, 552, 330, 2006, 4512, 630, 21946, 1794, 541, 267, 476, 1220, 277, 1070, 543, 3165, 267, 2052, 7578, 5162, 3570, 630, 30537, 690, 1512, 267, 476, 1220, 271, 1916, 763, 1920, 2052, 749, 19687, 729, 3370, 538, 476, 8146, 273, 676, 6742, 3780, 609, 2052, 7578, 607, 4330, 676, 645, 992, 928, 538, 476, 11260, 277, 607, 519, 6852, 12593, 563, 29128, 5266, 5063, 267, 519, 2052, 749, 19687, 723, 1044, 8655, 2901, 547, 519, 623, 926, 564, 2297, 630, 23219, 7921, 267, 476, 6245, 276, 282, 16500, 326, 267, 476, 4572, 276, 282, 18039, 267, 476, 4198, 272, 1070, 7788, 517, 2297, 630, 291, 22844, 326, 1066, 267, 476, 2735, 274, 1070, 610, 547, 519, 13804, 565, 658, 525, 630, 289, 517, 6339, 267, 476, 6942, 277, 282, 28635, 6255, 1690, 534, 267, 476, 2735, 272, 282, 595, 1258, 638, 626, 267, 476, 2735, 279, 1916, 300, 20047, 540, 519, 2052, 749, 19687, 1106, 513, 1395, 4451, 2280, 545, 1895, 267, 799, 2671, 1896, 5348, 777, 14521, 625, 971, 607, 1395, 14494, 748, 26176, 839, 267, 533, 926, 13926, 28345, 566, 267, 543, 3786, 2643, 582, 1886, 748, 9065, 2737, 630, 21946, 1794, 541, 267, 476, 1220, 277, 1916, 732, 18811, 748, 1369, 519, 13804, 565, 658, 525, 538, 602, 789, 723, 796, 10561, 1612, 520, 2350, 515, 531, 30822, 577, 2096, 320, 267, 789, 3668, 3284, 582, 2350, 515, 531, 30822, 577, 2096, 320, 267, 741, 6077, 11920, 30822, 577, 2096, 320, 29365, 616, 3368, 1532, 23912, 543, 2147, 547, 954, 1407, 1088, 29365, 267, 543, 789, 4122, 723, 14848, 538, 22876, 3518, 550, 543, 20005, 18422, 2281, 267, 513, 4183, 711, 2938, 538, 1022, 824, 1920, 540, 519, 13804, 565, 658, 525, 563, 2304, 12061, 19687, 630, 309, 334, 580, 339, 267, 476, 6642, 279, 282, 3131, 5362, 18081, 267, 476, 3422, 273, 320, 267, 476, 1960, 271, 282, 15011, 3570, 681, 7776, 267, 476, 3192, 276, 264, 14163, 565, 5255, 807, 576, 2801, 630, 8110, 5362, 18081, 267, 476, 3422, 273, 320, 267, 476, 3422, 277, 267, 476, 1960, 271, 282, 667, 22844, 326, 1066, 267, 476, 1960, 272, 264, 3243, 549, 9346, 13704, 19687, 630, 17484, 816, 267, 476, 1960, 274, 320, 264, 2052, 749, 19687, 454, 263, 15187, 565, 6308, 5652, 267, 476, 4572, 277, 282, 3474, 1868, 8705, 534, 267, 476, 3422, 272, 282, 595, 1258, 638, 626, 267, 476, 2735, 272, 282, 667, 22844, 326, 1066, 267, 476, 1960, 272, 264, 26440, 523, 4997, 576, 2801, 630, 18933, 18081, 267, 476, 3707, 280, 282, 3131, 5362, 18081, 267, 476, 3422, 273, 320, 267, 476, 1960, 271, 282, 667, 22844, 326, 1066, 267, 476, 1960, 272, 264, 661, 1575, 25959, 807, 576, 2801, 630, 8110, 5362, 18081, 267, 476, 1960, 271, 282, 667, 22844, 326, 1066, 267, 476, 1960, 272, 282, 7736, 816, 267, 476, 1960, 274, 321, 264, 13804, 16288, 576, 2801, 630, 17357, 1676, 267, 476, 3192, 277, 282, 667, 22844, 326, 1066, 1299, 1849, 858, 867, 267, 476, 2735, 273, 282, 3131, 5362, 18081, 267, 476, 1960, 271, 264, 9093, 529, 11279, 19687, 630, 8110, 5362, 18081, 267, 476, 3422, 273, 320, 267, 476, 1960, 271, 282, 590, 770, 686, 267, 476, 3422, 280, 282, 667, 22844, 326, 1066, 267, 476, 1960, 272, 264, 3733, 337, 2065, 19687, 630, 309, 334, 580, 339, 267, 476, 6642, 279, 282, 3131, 5362, 18081, 267, 476, 3422, 273, 320, 267, 476, 1960, 271, 282, 1086, 269, 0, 13356, 528, 1695, 267, 5463, 528, 1695, 3345, 267, 4279, 13336, 18671, 742, 454, 13563, 524, 4900, 3548, 3592, 3388, 267, 1519, 9274, 267, 5452, 267, 10808, 267, 5613, 267, 15708, 267, 7786, 267, 17494, 267, 3165, 267, 1762, 16015, 267, 8983, 267, 22916, 8127, 267, 1660, 17632, 267, 804, 4461, 267, 519, 5798, 543, 9566, 13530, 540, 824, 5017, 267, 1286, 337, 542, 267, 543, 20203, 269, 11109, 1767, 602, 267, 4079, 4043, 547, 723, 811, 2030, 982, 3662, 2339, 538, 741, 7181, 338, 267, 1247, 1762, 4043, 547, 723, 811, 3662, 982, 2030, 2339, 269, 595, 4900, 949, 21461, 1426, 543, 723, 1044, 4767, 4189, 5551, 3536, 610, 2694, 540, 1426, 5612, 1247, 524, 2286, 1447, 5551, 1426, 585, 2663, 281, 1945, 649, 723, 849, 4767, 538, 24052, 23914, 20097, 269, 595, 4900, 616, 5097, 2666, 585, 6162, 267, 4352, 789, 3548, 689, 2927, 1746, 4054, 543, 19211, 543, 723, 1044, 4767, 4947, 547, 6177, 12890, 619, 269, 1358, 786, 849, 3049, 2059, 519, 8728, 540, 4195, 543, 6070, 1216, 543, 530, 1228, 538, 13719, 1216, 909, 547, 741, 11350, 625, 563, 13828, 2818, 540, 513, 9960, 6292, 948, 1628, 20097, 267, 543, 1762, 5017, 689, 519, 3105, 1032, 949, 3006, 948, 607, 1134, 269, 1977, 524, 4900, 1628, 6529, 20097, 609, 606, 6418, 7484, 20898, 609, 12566, 19271, 267, 18047, 267, 2571, 13626, 267, 543, 4552, 269, 9737, 4571, 5336, 1105, 543, 4571, 11219, 2317, 267, 789, 2482, 1614, 547, 8370, 17824, 880, 25984, 547, 14462, 5798, 6825, 609, 6960, 543, 15454, 267, 4352, 20119, 3270, 543, 4212, 4778, 4268, 4922, 269, 12339, 2297, 17861, 622, 5798, 585, 476, 1626, 268, 1240, 2395, 543, 2356, 3132, 835, 2156, 617, 829, 1032, 267, 4352, 1977, 595, 4900, 949, 3132, 513, 2034, 804, 8553, 952, 519, 1101, 835, 568, 10032, 269, 21231, 267, 9038, 543, 948, 619, 1683, 1426, 585, 519, 4775, 543, 9566, 13530, 267, 4352, 8951, 948, 11865, 811, 2899, 1762, 616, 2111, 547, 22243, 3467, 326, 3634, 269, 8479, 3251, 538, 519, 9566, 585, 476, 2764, 268, 3374, 2395, 1991, 547, 19679, 3101, 269, 1677, 1451, 811, 267, 3643, 26658, 779, 3896, 563, 290, 4900, 616, 2808, 3810, 10995, 269, 1358, 723, 24215, 1804, 2062, 3630, 1231, 267, 519, 6389, 540, 10763, 2219, 267, 2362, 7400, 10444, 4393, 267, 543, 8465, 2623, 269, 1411, 666, 1224, 811, 827, 741, 4987, 1934, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 936, 476, 2412, 1296, 2025, 269, 1403, 476, 1789, 2600, 540, 1346, 936, 476, 2412, 723, 4487, 781, 5232, 267, 875, 1082, 540, 519, 5520, 936, 476, 2412, 723, 4487, 781, 5232, 2496, 4131, 1535, 581, 519, 1297, 540, 5520, 538, 602, 5604, 269, 9717, 602, 912, 271, 269, 277, 343, 815, 5520, 936, 476, 2412, 3248, 271, 269, 274, 265, 271, 269, 277, 343, 815, 5520, 936, 476, 2412, 609, 4487, 781, 5232, 780, 263, 272, 264, 22549, 476, 1911, 540, 519, 5520, 616, 2852, 20021, 25341, 476, 271, 269, 276, 343, 284, 1911, 269, 1284, 666, 1265, 519, 1871, 540, 1535, 267, 3976, 649, 666, 3313, 519, 1871, 540, 476, 271, 269, 274, 265, 271, 269, 277, 343, 269, 2672, 2310, 780, 263, 273, 264, 2986, 519, 5520, 476, 2412, 1296, 2025, 610, 1447, 267, 476, 1839, 2600, 723, 4487, 781, 5232, 269, 1284, 723, 1100, 1344, 827, 519, 1297, 540, 5520, 538, 1022, 1895, 267, 1152, 21159, 269, 3502, 6190, 780, 8008, 2894, 20591, 290, 4785, 31064, 5508, 24199, 32530, 3582, 4959, 28313, 281, 538, 8584, 2275, 1643, 11325, 823, 268, 2004, 12656, 1417, 6361, 7308, 15041, 1943, 4315, 268, 732, 12258, 5076, 268, 16960, 278, 6924, 11258, 692, 289, 684, 3241, 2676, 296, 723, 513, 2243, 269, 634, 6565, 12909, 827, 2852, 20021, 543, 1287, 2663, 19528, 4487, 781, 4110, 269, 21231, 594, 729, 513, 3787, 7255, 827, 952, 621, 568, 513, 1614, 1305, 1966, 4534, 2852, 20021, 910, 18544, 543, 1875, 18544, 609, 2085, 269, 1215, 666, 649, 9108, 8263, 602, 2852, 20021, 1797, 1152, 1346, 609, 18544, 286, 2334, 2306, 519, 1966, 12863, 540, 322, 6847, 269, 7102, 4555, 2496, 31955, 20021, 543, 1346, 945, 723, 513, 4487, 4110, 616, 711, 519, 1482, 1895, 780, 6303, 318, 692, 20132, 19560, 476, 15171, 277, 1240, 1496, 271, 3910, 2016, 281, 476, 11277, 2918, 692, 3725, 281, 769, 513, 1978, 5604, 267, 476, 2004, 2600, 540, 519, 5520, 616, 2852, 5231, 1496, 258, 21529, 316, 476, 1691, 5463, 476, 1001, 277, 267, 476, 876, 281, 3451, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 769, 513, 1978, 5604, 267, 476, 2004, 2600, 540, 519, 5520, 616, 2852, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 1923, 2506, 334, 10202, 11247, 3177, 676, 2506, 334, 10202, 3080, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 577, 1986, 274, 269, 2457, 5881, 692, 258, 3184, 274, 269, 2457, 5881, 910, 512, 815, 476, 271, 649, 723, 1535, 476, 272, 263, 271, 815, 595, 476, 272, 552, 595, 476, 273, 552, 476, 273, 263, 271, 815, 595, 13718, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 272, 269, 966, 17614, 27633, 6730, 13878, 30278, 2464, 476, 278, 18564, 267, 676, 9949, 267, 4569, 322, 611, 786, 4159, 519, 2164, 607, 1232, 268, 708, 531, 267, 596, 666, 5595, 4945, 593, 519, 1267, 6152, 547, 1689, 621, 547, 6824, 267, 1310, 596, 5595, 4945, 519, 1267, 596, 786, 723, 513, 1402, 1575, 10624, 971, 607, 7612, 476, 272, 269, 14474, 28088, 513, 634, 1985, 1383, 2982, 875, 649, 666, 3313, 519, 7164, 598, 268, 588, 1218, 3335, 1336, 538, 519, 3355, 1871, 2042, 540, 1062, 540, 8428, 268, 476, 1113, 4834, 269, 7151, 476, 272, 269, 276, 1547, 2913, 1535, 476, 272, 630, 512, 3738, 815, 595, 476, 272, 552, 512, 1341, 595, 476, 273, 552, 476, 273, 512, 543, 1535, 476, 273, 815, 476, 273, 595, 476, 272, 552, 512, 910, 595, 476, 273, 552, 476, 273, 512, 1547, 1403, 1535, 476, 272, 630, 271, 264, 815, 476, 273, 2073, 1535, 476, 273, 630, 271, 264, 815, 476, 274, 2073, 1265, 595, 476, 272, 543, 595, 476, 273, 8827, 3245, 1535, 476, 272, 630, 512, 3738, 815, 595, 476, 272, 552, 512, 1341, 595, 476, 273, 552, 476, 273, 512, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 512, 815, 476, 271, 649, 723, 1535, 476, 272, 630, 271, 264, 815, 595, 476, 272, 552, 1341, 595, 476, 273, 552, 476, 273, 263, 271, 264, 815, 595, 476, 272, 1341, 595, 476, 273, 1547, 6684, 267, 1535, 476, 273, 630, 512, 3738, 815, 476, 273, 595, 476, 272, 552, 512, 4211, 476, 273, 552, 476, 273, 512, 2073, 3947, 1535, 476, 273, 630, 271, 264, 815, 476, 273, 595, 476, 272, 552, 630, 476, 271, 9984, 290, 476, 273, 552, 476, 273, 263, 271, 264, 815, 476, 273, 595, 476, 272, 4211, 476, 273, 1547, 8625, 609, 1535, 476, 272, 630, 271, 264, 815, 476, 273, 2073, 1535, 476, 273, 630, 271, 264, 815, 476, 274, 649, 723, 519, 1739, 1062, 540, 4834, 267, 722, 364, 595, 476, 272, 1341, 595, 476, 273, 815, 476, 272, 476, 273, 595, 476, 272, 4211, 476, 273, 815, 476, 274, 25166, 1679, 519, 3830, 538, 5119, 1106, 3040, 476, 272, 476, 272, 476, 273, 268, 272, 722, 504, 1892, 595, 476, 272, 595, 476, 273, 722, 504, 815, 3040, 476, 272, 476, 274, 722, 504, 2073, 543, 1210, 4569, 322, 611, 649, 19509, 526, 519, 3070, 568, 3040, 595, 476, 272, 595, 476, 273, 722, 504, 815, 3040, 476, 275, 476, 274, 268, 272, 476, 274, 722, 504, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 348, 0, 2791, 616, 606, 705, 551, 26421, 16588, 267, 855, 596, 616, 29429, 538, 547, 519, 5131, 13505, 269, 1677, 1569, 782, 4759, 2934, 267, 2845, 883, 519, 16588, 13505, 780, 258, 17773, 692, 293, 6579, 9898, 24199, 29640, 9680, 12088, 912, 284, 2776, 1613, 11657, 815, 16588, 13505, 11657, 454, 1892, 7179, 267, 2759, 856, 543, 22495, 622, 269, 1452, 616, 3730, 607, 6354, 592, 2510, 269, 5871, 11759, 281, 17773, 281, 476, 274, 12991, 293, 6993, 269, 272, 5871, 11759, 281, 17773, 281, 476, 274, 12991, 293, 6993, 269, 272, 454, 1892, 834, 29493, 519, 3270, 269, 12338, 856, 519, 30556, 267, 2185, 2195, 543, 552, 662, 2195, 269, 2422, 873, 547, 948, 609, 4946, 543, 18946, 8454, 543, 6697, 8454, 1701, 5871, 11759, 281, 17773, 281, 476, 274, 12991, 293, 6993, 269, 272, 454, 1892, 4841, 946, 513, 12166, 2203, 547, 2012, 2596, 8454, 269, 901, 3992, 1568, 1134, 4805, 610, 538, 14966, 609, 519, 834, 13420, 2526, 757, 547, 2290, 257, 4245, 563, 1892, 4841, 946, 513, 12166, 2203, 547, 2012, 2596, 8454, 269, 901, 3992, 1568, 1134, 4805, 610, 538, 14966, 609, 519, 834, 13420, 2526, 757, 547, 2290, 257, 4245, 563, 1892, 17266, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 7429, 8454, 282, 476, 276, 3817, 563, 1892, 834, 3891, 1031, 476, 275, 4773, 540, 25487, 267, 476, 275, 4773, 540, 8423, 267, 476, 274, 4773, 540, 14723, 18223, 267, 476, 276, 4773, 540, 12566, 20625, 267, 930, 14036, 543, 930, 10381, 269, 1548, 729, 519, 5223, 540, 12566, 20625, 547, 8423, 8119, 476, 1691, 5223, 2055, 267, 609, 513, 16741, 6249, 269, 5871, 11759, 281, 476, 277, 10611, 303, 269, 272, 692, 1892, 1547, 274, 815, 7790, 269, 3503, 1142, 540, 519, 17447, 607, 513, 6824, 538, 14724, 2474, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 1547, 4037, 815, 7790, 269, 3503, 1142, 540, 519, 17447, 607, 513, 6824, 538, 14724, 2474, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 476, 277, 270, 278, 815, 7790, 269, 3503, 1142, 540, 519, 8454, 607, 513, 8918, 269, 18471, 547, 519, 14282, 8536, 628, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 3503, 519, 8454, 538, 519, 2953, 1931, 689, 10545, 547, 4102, 269, 16671, 281, 4569, 281, 476, 275, 12991, 293, 6993, 269, 273, 692, 1892, 3503, 519, 8454, 538, 519, 2953, 1931, 689, 10545, 547, 4102, 269, 16671, 281, 4569, 281, 476, 275, 12991, 293, 6993, 269, 273, 692, 1892, 12338, 856, 1142, 796, 16932, 539, 6824, 8755, 15258, 547, 946, 607, 2259, 780, 13349, 11759, 281, 17773, 281, 476, 274, 12991, 293, 6993, 269, 272, 692, 1892, 17948, 22276, 269, 7392, 610, 1820, 891, 3992, 1544, 1676, 3817, 269, 3962, 2985, 814, 519, 3044, 267, 519, 3095, 547, 519, 2143, 3044, 543, 2230, 585, 596, 547, 795, 582, 1524, 707, 4245, 269, 4279, 585, 1346, 945, 991, 547, 2697, 519, 4441, 547, 741, 3992, 4566, 269, 16671, 281, 476, 275, 12991, 293, 6993, 269, 272, 267, 476, 275, 12991, 293, 11065, 269, 272, 268, 275, 267, 476, 275, 12991, 293, 5861, 269, 272, 268, 273, 692, 1892, 19940, 267, 30556, 267, 555, 8674, 267, 2185, 2195, 267, 543, 552, 662, 2195, 269, 14520, 3817, 267, 2185, 6486, 547, 513, 2985, 269, 5871, 11759, 281, 17773, 281, 476, 274, 12991, 293, 6993, 269, 272, 454, 1892, 2582, 9704, 267, 7429, 8454, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 7429, 8454, 282, 476, 276, 3817, 563, 1892, 29452, 538, 1620, 2789, 11269, 585, 27847, 2338, 563, 1892, 589, 2312, 7778, 540, 4946, 899, 8454, 568, 4553, 676, 1614, 3817, 540, 2259, 269, 22291, 2626, 6656, 563, 1892, 4841, 946, 1858, 3631, 547, 2697, 543, 2328, 4834, 585, 6697, 8454, 563, 1892, 4841, 946, 1858, 3631, 547, 2697, 543, 2328, 4834, 585, 6697, 8454, 563, 1892, 17266, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 7429, 8454, 282, 476, 276, 3817, 563, 1892, 2582, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 2582, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 1455, 32159, 267, 930, 2942, 4267, 282, 476, 276, 3817, 563, 1892, 14168, 835, 2985, 5528, 585, 875, 547, 9062, 8454, 563, 1892, 2582, 9704, 267, 1455, 32159, 282, 476, 276, 3817, 563, 1892, 17266, 9704, 267, 7429, 8454, 282, 476, 276, 3817, 563, 1892, 834, 2690, 1169, 476, 274, 22796, 15535, 814, 267, 646, 814, 476, 275, 23445, 269, 1403, 646, 814, 476, 2641, 1603, 7405, 267, 875, 1082, 22796, 1281, 646, 723, 8119, 476, 1428, 5223, 2055, 269, 5871, 11759, 281, 476, 277, 10611, 303, 269, 272, 692, 1892, 13068, 543, 2241, 3137, 269, 2290, 2985, 1142, 593, 875, 547, 1039, 899, 543, 7429, 8454, 563, 1892, 1215, 547, 14458, 16789, 8454, 282, 875, 547, 2569, 513, 6824, 547, 922, 14724, 2474, 563, 1892, 7822, 519, 8454, 282, 538, 1931, 689, 476, 272, 270, 278, 547, 476, 279, 270, 279, 563, 1892, 1547, 1321, 815, 7790, 269, 3503, 1142, 540, 519, 17447, 607, 513, 6824, 538, 14724, 2474, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 1547, 5400, 815, 7790, 269, 3503, 1142, 540, 519, 17447, 607, 513, 6824, 538, 14724, 2474, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 476, 275, 270, 276, 815, 7790, 269, 3503, 1142, 540, 519, 8454, 607, 513, 8918, 269, 18471, 547, 519, 14282, 8536, 628, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 476, 274, 270, 275, 815, 7790, 269, 3503, 1142, 540, 519, 8454, 607, 513, 8918, 269, 18471, 547, 519, 14282, 8536, 628, 269, 5871, 11759, 281, 476, 277, 269, 10064, 269, 274, 454, 1892, 901, 1297, 1899, 267, 689, 476, 272, 270, 3953, 547, 476, 272, 267, 2982, 519, 4336, 540, 8454, 538, 513, 2312, 543, 2241, 1259, 563, 1892, 589, 1305, 540, 476, 2767, 13042, 15460, 267, 476, 275, 829, 2985, 267, 602, 946, 513, 2650, 3113, 547, 9414, 519, 1871, 547, 519, 2898, 540, 1142, 6824, 269, 5871, 11759, 281, 17773, 281, 476, 274, 12991, 293, 6993, 269, 272, 454, 1892, 589, 2699, 30041, 2775, 539, 1305, 540, 476, 2767, 13042, 8755, 6486, 267, 476, 275, 829, 2985, 267, 1142, 609, 513, 2650, 3113, 602, 14550, 519, 1871, 547, 519, 2898, 540, 1142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29479, 7726, 540, 519, 4303, 910, 11545, 547, 707, 25357, 7901, 282, 2182, 3283, 1152, 692, 898, 568, 4867, 476, 866, 5463, 476, 1001, 279, 267, 476, 5881, 281, 2004, 692, 258, 9215, 31165, 1384, 300, 3951, 590, 5979, 534, 681, 272, 5463, 2888, 910, 1109, 18794, 20037, 13378, 1109, 1721, 14970, 5455, 30098, 1109, 347, 13378, 609, 17459, 6369, 18722, 1520, 1260, 7711, 280, 600, 25280, 1923, 13378, 609, 23171, 590, 6865, 681, 272, 1520, 2466, 476, 1015, 600, 25280, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 1012, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 5412, 454, 7093, 341, 9202, 454, 22296, 300, 11561, 340, 2171, 1320, 293, 337, 306, 320, 454, 21857, 277, 2767, 28434, 280, 1789, 272, 454, 23056, 6321, 278, 279, 454, 280, 1015, 9340, 22659, 15221, 276, 454, 14065, 278, 1240, 4572, 28512, 2420, 454, 22446, 28883, 26783, 278, 2764, 3066, 454, 24062, 12208, 24833, 454, 15411, 26346, 25038, 454, 1892, 12693, 8414, 8285, 476, 736, 260, 22312, 256, 4569, 7169, 2353, 24493, 268, 3080, 15733, 2439, 20103, 476, 736, 267, 476, 1001, 279, 692, 20103, 476, 736, 267, 476, 1001, 279, 692, 1015, 281, 876, 6751, 623, 4306, 692, 1556, 281, 876, 6751, 623, 4306, 692, 1607, 568, 519, 1034, 20522, 543, 10694, 3902, 538, 519, 2344, 269, 5192, 519, 1576, 1631, 2336, 1892, 12693, 6206, 11150, 547, 9457, 17918, 14662, 692, 20103, 476, 2420, 267, 476, 1001, 279, 692, 20103, 476, 2420, 267, 476, 1001, 279, 692, 5881, 281, 876, 7537, 623, 4306, 692, 6021, 281, 876, 7537, 623, 4306, 692, 16920, 754, 713, 1357, 14373, 547, 1451, 875, 547, 15407, 12791, 543, 20603, 547, 4194, 519, 1034, 4101, 22054, 4856, 14431, 5999, 780, 258, 769, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 12421, 454, 16274, 281, 476, 5400, 2904, 476, 1001, 275, 454, 15803, 281, 476, 279, 454, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 2190, 8734, 476, 1001, 275, 267, 476, 2641, 281, 5655, 454, 272, 454, 1691, 454, 876, 281, 876, 692, 11795, 22187, 1384, 3374, 260, 630, 4364, 1756, 2020, 9223, 853, 1846, 1384, 10463, 260, 630, 4905, 281, 4343, 264, 2953, 476, 2767, 260, 630, 4905, 281, 7906, 264, 4636, 1759, 593, 476, 29340, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 540, 519, 3677, 4009, 568, 26484, 286, 263, 4605, 568, 593, 519, 13613, 2020, 10490, 264, 476, 274, 270, 1321, 454, 16360, 264, 476, 2190, 270, 5392, 454, 18154, 264, 476, 272, 270, 273, 454, 20573, 264, 476, 1839, 270, 5392, 454, 27887, 264, 476, 278, 270, 1321, 692, 3240, 20735, 568, 524, 855, 29314, 568, 536, 267, 1018, 27315, 581, 1318, 835, 2496, 16920, 778, 906, 692, 272, 27970, 1496, 476, 2641, 269, 3066, 27411, 289, 1923, 7348, 539, 476, 26392, 272, 2053, 476, 6540, 4753, 302, 454, 16274, 281, 476, 1556, 9484, 476, 1001, 276, 454, 15803, 281, 476, 27844, 274, 454, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 5400, 9484, 476, 1001, 278, 267, 476, 1321, 281, 736, 454, 277, 454, 12749, 19928, 12460, 454, 272, 454, 534, 1731, 8660, 5206, 912, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 540, 519, 3677, 4009, 568, 26484, 286, 263, 4605, 568, 593, 519, 13613, 2020, 10490, 264, 476, 274, 270, 1321, 454, 16360, 264, 476, 2190, 270, 5392, 454, 18154, 264, 476, 272, 270, 273, 454, 20573, 264, 476, 1839, 270, 5392, 454, 27887, 264, 476, 278, 270, 1321, 692, 763, 1101, 3364, 649, 991, 547, 5431, 568, 602, 519, 476, 275, 15562, 4696, 3633, 12730, 616, 9838, 269, 3371, 781, 1946, 1384, 2252, 649, 1445, 593, 835, 6906, 543, 1577, 1535, 543, 586, 2099, 519, 476, 273, 7285, 602, 616, 711, 476, 3445, 5232, 267, 649, 1205, 519, 1739, 1384, 5804, 713, 267, 649, 666, 1294, 602, 1535, 1341, 586, 1341, 476, 3445, 4113, 815, 476, 5197, 4113, 692, 3383, 267, 950, 649, 4983, 1776, 1318, 6906, 630, 10472, 942, 538, 3039, 264, 1862, 780, 1862, 933, 666, 1294, 602, 519, 5086, 6719, 676, 7790, 1590, 581, 3160, 547, 1535, 267, 2094, 649, 2907, 917, 602, 1535, 1341, 586, 1341, 476, 3445, 4113, 815, 476, 5197, 4113, 692, 3383, 267, 649, 3513, 1039, 602, 1344, 547, 519, 6516, 13718, 8794, 2147, 7954, 267, 649, 666, 1294, 602, 519, 476, 274, 6113, 5086, 538, 519, 3039, 6906, 1590, 581, 3160, 547, 586, 267, 2094, 649, 917, 602, 1535, 1341, 586, 1341, 476, 3445, 4113, 815, 476, 5197, 4113, 692, 8794, 519, 3169, 1482, 1184, 267, 649, 666, 1397, 602, 782, 476, 275, 26484, 12730, 723, 519, 1482, 476, 274, 7285, 281, 1535, 267, 586, 543, 476, 3445, 4113, 454, 2171, 2811, 5143, 602, 519, 3043, 29105, 538, 519, 1647, 540, 519, 6516, 568, 513, 590, 12702, 22664, 267, 865, 649, 666, 1294, 602, 519, 30494, 538, 1142, 540, 519, 15562, 4696, 3633, 12730, 814, 519, 1482, 3259, 563, 1607, 1797, 602, 782, 476, 275, 15562, 4696, 3633, 12730, 616, 9838, 1862, 780, 3383, 267, 519, 1858, 540, 1142, 15562, 4696, 3633, 6906, 815, 630, 19668, 7565, 19417, 8358, 273, 815, 630, 275, 7565, 274, 8358, 273, 815, 1321, 270, 273, 815, 476, 277, 454, 3383, 267, 519, 570, 5588, 3201, 1858, 540, 782, 476, 275, 15562, 4696, 3633, 12730, 815, 630, 275, 7565, 277, 264, 815, 476, 2190, 692, 763, 1858, 540, 519, 700, 2752, 294, 2207, 4009, 815, 630, 278, 7565, 278, 264, 815, 476, 5392, 692, 3383, 267, 476, 2190, 270, 5392, 540, 519, 3677, 4009, 568, 26484, 692, 10267, 619, 2676, 289, 1370, 454, 6303, 318, 692, 14818, 18390, 609, 575, 3901, 2181, 335, 852, 2593, 692, 7462, 4937, 17564, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 1724, 9947, 476, 1001, 274, 454, 15803, 281, 476, 22550, 454, 3725, 281, 769, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1839, 8734, 476, 1001, 275, 267, 476, 6349, 281, 4962, 454, 272, 454, 534, 1731, 8660, 5206, 912, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 540, 519, 3677, 4009, 568, 26484, 286, 263, 4605, 568, 593, 519, 13613, 2020, 10490, 264, 476, 274, 270, 1321, 454, 16360, 264, 476, 2190, 270, 5392, 454, 18154, 264, 476, 272, 270, 273, 454, 20573, 264, 476, 1839, 270, 5392, 454, 27887, 264, 476, 278, 270, 1321, 692, 3240, 20735, 568, 524, 855, 29314, 568, 536, 267, 1018, 27315, 581, 1318, 835, 2496, 26421, 26484, 4564, 513, 1318, 5086, 6906, 609, 476, 274, 267, 275, 607, 922, 13902, 5011, 269, 1858, 540, 835, 540, 891, 1318, 5086, 6906, 815, 6695, 2765, 346, 274, 269, 275, 2410, 273, 6525, 3230, 284, 476, 277, 9681, 28387, 2698, 1858, 540, 519, 26484, 3148, 3230, 284, 476, 275, 269, 277, 815, 2190, 9681, 663, 519, 2838, 6824, 815, 630, 19327, 540, 26484, 3148, 19422, 19327, 540, 519, 3677, 4009, 264, 815, 6695, 2765, 2715, 2190, 2410, 278, 317, 273, 6525, 3230, 284, 476, 2190, 270, 5392, 16465, 10048, 4526, 454, 16274, 281, 476, 2641, 7325, 476, 1001, 275, 454, 15803, 281, 476, 10219, 454, 3725, 281, 769, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1839, 8734, 476, 1001, 275, 267, 476, 5881, 281, 5325, 454, 534, 1731, 8660, 5206, 912, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 540, 519, 3677, 4009, 568, 26484, 286, 263, 4605, 568, 593, 519, 13613, 2020, 10490, 264, 476, 274, 270, 1321, 454, 16360, 264, 476, 2190, 270, 5392, 454, 18154, 264, 476, 272, 270, 273, 454, 20573, 264, 476, 1839, 270, 5392, 454, 27887, 264, 476, 278, 270, 1321, 692, 3240, 20735, 568, 524, 855, 29314, 568, 536, 267, 1018, 27315, 581, 1318, 835, 2496, 5194, 1259, 547, 798, 713, 1966, 568, 547, 5469, 602, 891, 2427, 13080, 616, 2469, 547, 2285, 721, 513, 2027, 1318, 6906, 540, 476, 274, 268, 275, 268, 276, 269, 4595, 649, 917, 1312, 519, 9018, 543, 6418, 3615, 616, 10945, 267, 649, 917, 602, 519, 2427, 12753, 616, 2469, 547, 581, 519, 1482, 593, 782, 5011, 269, 901, 1797, 782, 540, 1346, 9018, 12730, 786, 581, 476, 274, 268, 275, 268, 276, 1318, 12730, 780, 7712, 713, 568, 519, 2013, 267, 649, 917, 519, 6418, 4009, 568, 513, 476, 276, 343, 276, 267, 609, 1858, 540, 476, 1839, 4009, 4559, 269, 14171, 519, 2427, 3259, 540, 519, 9018, 4009, 267, 649, 917, 621, 568, 476, 278, 343, 278, 610, 476, 5392, 4009, 4559, 269, 901, 1797, 519, 6418, 4009, 568, 476, 1839, 270, 5392, 519, 2450, 540, 519, 9018, 4009, 269, 16265, 24219, 476, 1839, 689, 476, 5392, 3947, 721, 519, 5223, 540, 519, 26484, 3148, 267, 476, 2190, 270, 5392, 780, 306, 29262, 454, 1805, 9850, 281, 634, 7454, 2107, 23875, 454, 16274, 281, 476, 2767, 5463, 476, 1001, 273, 454, 15803, 281, 476, 9264, 276, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 4937, 5004, 267, 5303, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 769, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1839, 8734, 476, 1001, 275, 267, 476, 1240, 281, 6860, 454, 273, 454, 12585, 815, 630, 289, 264, 6695, 2765, 346, 2190, 2410, 5392, 15732, 2467, 616, 476, 275, 12730, 609, 3490, 267, 4463, 815, 476, 275, 267, 476, 274, 692, 13707, 26484, 3148, 1858, 3230, 284, 476, 275, 2608, 1422, 2765, 346, 272, 2410, 273, 348, 2608, 476, 275, 2608, 476, 274, 815, 476, 2190, 9681, 306, 13645, 1858, 3230, 284, 476, 278, 317, 273, 815, 476, 5392, 9681, 293, 3555, 3230, 284, 1422, 2765, 346, 2190, 2410, 5392, 28021, 6303, 318, 692, 30747, 569, 2046, 834, 266, 272, 918, 16997, 257, 547, 5660, 692, 306, 29262, 454, 1805, 9850, 281, 634, 7454, 2107, 23875, 454, 16274, 281, 476, 2767, 5463, 476, 1001, 273, 454, 15803, 281, 476, 9264, 276, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 4937, 5004, 267, 5303, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 769, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1839, 8734, 476, 1001, 275, 267, 476, 1240, 281, 1556, 454, 534, 1731, 8660, 5206, 912, 1103, 519, 476, 278, 20878, 4009, 1657, 267, 1776, 4009, 568, 27485, 269, 1548, 6824, 540, 519, 3677, 4009, 568, 26484, 286, 263, 4605, 568, 593, 519, 13613, 2020, 10490, 264, 476, 274, 270, 1321, 454, 16360, 264, 476, 2190, 270, 5392, 454, 18154, 264, 476, 272, 270, 273, 454, 20573, 264, 476, 1839, 270, 5392, 454, 27887, 264, 476, 278, 270, 1321, 692, 3240, 20735, 568, 524, 855, 29314, 568, 536, 267, 1018, 27315, 581, 1318, 835, 2496, 2026, 2484, 607, 707, 9819, 568, 7255, 267, 2626, 1131, 581, 595, 630, 272, 270, 273, 264, 950, 519, 1507, 4009, 568, 27485, 693, 4571, 2798, 540, 519, 476, 278, 10759, 4009, 630, 704, 6516, 2630, 2020, 16920, 16670, 1384, 338, 336, 26666, 1496, 476, 274, 269, 4649, 27411, 289, 1923, 7348, 539, 476, 27843, 275, 2053, 476, 6540, 6303, 318, 692, 30747, 569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 892, 1107, 519, 835, 945, 2306, 519, 1732, 1202, 6699, 3094, 269, 1809, 590, 12011, 10224, 20568, 543, 19395, 4858, 684, 267, 5778, 27023, 1235, 267, 4769, 1406, 979, 547, 513, 22850, 1397, 1107, 789, 4547, 30385, 2639, 763, 1034, 1950, 1843, 593, 3047, 568, 519, 1480, 2634, 269, 1717, 267, 1256, 1498, 621, 779, 23091, 676, 17542, 540, 8229, 11103, 3592, 538, 513, 26093, 6752, 267, 3744, 945, 723, 1031, 10427, 6310, 2079, 540, 4359, 9196, 1239, 1336, 602, 519, 8849, 11444, 602, 4163, 5122, 6786, 998, 519, 2634, 616, 11231, 538, 513, 1360, 2241, 6073, 267, 23401, 30385, 2639, 12867, 693, 23171, 2160, 723, 6707, 812, 613, 547, 8415, 513, 3209, 18909, 4480, 547, 476, 274, 5937, 3239, 519, 1202, 1938, 540, 2182, 543, 2571, 17571, 267, 899, 5642, 543, 5160, 267, 6679, 519, 1259, 585, 513, 1007, 5044, 540, 3156, 267, 899, 5892, 2352, 547, 3239, 10053, 3615, 269, 15380, 267, 6419, 16982, 9196, 630, 28122, 264, 666, 3132, 513, 476, 274, 5937, 3239, 540, 606, 1843, 30385, 2639, 18693, 5505, 689, 25470, 2160, 1522, 723, 16686, 2066, 513, 1713, 6602, 267, 1310, 2269, 6137, 513, 512, 5875, 3121, 547, 513, 6419, 16982, 9196, 31554, 267, 799, 4951, 875, 922, 2295, 26438, 538, 513, 2189, 5595, 10726, 269, 634, 1265, 1522, 4019, 547, 513, 2249, 540, 20151, 269, 1403, 707, 8049, 547, 1294, 519, 9490, 5595, 2295, 10726, 585, 3054, 267, 3744, 723, 30385, 2639, 2026, 606, 2025, 6031, 4422, 267, 942, 6170, 530, 5109, 568, 942, 24906, 269, 594, 6557, 27378, 1554, 29681, 4422, 883, 519, 1482, 7121, 267, 1318, 11631, 654, 3994, 269, 4340, 547, 513, 1353, 3370, 538, 519, 18619, 540, 519, 2817, 9142, 540, 7070, 2534, 538, 3875, 2634, 4525, 2965, 4679, 950, 938, 2247, 18389, 619, 1055, 547, 513, 1114, 1747, 269, 634, 1353, 3366, 30385, 316, 0, 23530, 11272, 7010, 8415, 519, 3141, 779, 1648, 543, 8515, 547, 5352, 5201, 1210, 1896, 968, 31688, 19661, 545, 892, 2281, 630, 11901, 338, 264, 4448, 1927, 883, 513, 8470, 269, 634, 1034, 1455, 2029, 630, 3000, 334, 543, 26543, 13339, 264, 543, 5663, 12191, 814, 1044, 538, 946, 585, 936, 476, 1839, 1296, 269, 634, 2489, 5663, 2409, 723, 4824, 609, 12957, 543, 8060, 547, 1683, 1279, 1272, 2705, 519, 2489, 21753, 1184, 568, 7361, 24240, 269, 9891, 1949, 723, 1044, 538, 3028, 585, 936, 476, 1789, 1296, 563, 7628, 10380, 267, 1896, 8440, 616, 4448, 1927, 883, 606, 968, 541, 7590, 6100, 634, 26275, 568, 3335, 8704, 593, 519, 8122, 609, 513, 986, 9535, 1062, 12979, 1819, 676, 519, 8122, 3294, 630, 571, 1123, 21774, 1040, 634, 5044, 949, 849, 581, 8704, 968, 4752, 8122, 892, 538, 20387, 610, 9477, 1062, 12122, 269, 634, 26275, 568, 1287, 4448, 676, 1164, 2298, 11443, 543, 31026, 1080, 547, 606, 968, 514, 591, 614, 892, 602, 17838, 519, 5201, 689, 1463, 1699, 630, 17584, 264, 547, 20367, 1699, 630, 3722, 264, 585, 946, 538, 519, 1753, 269, 634, 5201, 538, 1287, 3535, 539, 998, 519, 7780, 1006, 779, 3892, 4216, 547, 2327, 6765, 547, 519, 1753, 269, 16930, 3106, 267, 32072, 267, 2326, 543, 3167, 9479, 1590, 581, 4553, 543, 20240, 547, 2327, 519, 5207, 2298, 10380, 281, 715, 4488, 267, 13013, 11190, 267, 31538, 8490, 32011, 267, 772, 299, 543, 715, 5723, 4753, 303, 563, 2691, 519, 3141, 16716, 891, 14346, 338, 519, 1648, 568, 10736, 883, 5201, 543, 9447, 547, 596, 1753, 610, 1870, 689, 519, 8122, 1283, 610, 824, 6753, 593, 519, 3959, 269, 901, 3859, 5201, 8928, 883, 519, 2777, 3335, 998, 519, 10626, 2754, 779, 1379, 3892, 4216, 630, 294, 5090, 570, 1221, 1040, 1879, 519, 5201, 6383, 676, 519, 3141, 20489, 519, 3747, 538, 519, 1753, 267, 519, 3063, 1648, 630, 26104, 640, 264, 568, 2366, 1394, 547, 519, 10626, 779, 968, 28186, 892, 585, 946, 1141, 2877, 630, 20365, 12543, 264, 543, 707, 11281, 2965, 30809, 23651, 269, 634, 3063, 1648, 2366, 547, 519, 7470, 786, 581, 20295, 1394, 547, 519, 1753, 26782, 11486, 5350, 543, 568, 1634, 607, 968, 6339, 1558, 1359, 6100, 2060, 2121, 1558, 1359, 519, 10626, 786, 4019, 606, 1648, 5491, 547, 707, 10865, 3915, 585, 519, 1648, 711, 1031, 282, 693, 519, 1439, 540, 519, 1032, 713, 5491, 568, 2356, 4642, 539, 856, 3246, 1100, 4324, 547, 519, 1753, 26782, 269, 901, 2061, 521, 1944, 513, 3859, 1062, 602, 20205, 811, 1287, 568, 2877, 269, 2368, 20848, 267, 1533, 543, 2477, 4019, 519, 9803, 2557, 547, 22771, 596, 585, 2942, 3666, 269, 769, 4993, 267, 2487, 9086, 814, 3366, 547, 513, 1876, 602, 3340, 519, 20848, 547, 2628, 519, 1753, 26782, 968, 325, 1515, 2344, 1871, 892, 585, 713, 3063, 1648, 269, 901, 568, 1634, 607, 2048, 12890, 2987, 29388, 6100, 769, 4993, 3049, 538, 29388, 786, 979, 883, 1198, 538, 476, 1001, 271, 269, 16376, 538, 29388, 609, 2121, 1558, 1359, 6087, 519, 1753, 26782, 11486, 5350, 547, 1831, 513, 3020, 1648, 16073, 543, 2488, 3606, 2883, 24539, 547, 979, 9891, 563, 9827, 1634, 607, 968, 23530, 26365, 5608, 17335, 295, 2488, 513, 1797, 547, 2759, 1216, 8022, 3790, 3648, 609, 4066, 8810, 538, 5010, 543, 10821, 3156, 269, 30003, 17335, 295, 1062, 17188, 1394, 1369, 476, 278, 268, 1428, 1296, 4470, 593, 519, 4492, 1031, 630, 11499, 3154, 610, 3167, 264, 543, 1699, 10626, 3928, 563, 14483, 769, 1417, 1161, 1331, 912, 23777, 673, 17335, 295, 10241, 912, 15650, 540, 9891, 4826, 1261, 11596, 912, 27879, 633, 15562, 310, 1062, 12346, 593, 519, 2067, 3350, 540, 3859, 12699, 1216, 689, 519, 21689, 547, 519, 4859, 7382, 4092, 1657, 519, 21689, 269, 901, 2095, 540, 1447, 10053, 267, 14402, 1216, 16057, 543, 519, 18746, 2095, 540, 21617, 1216, 616, 5219, 547, 607, 968, 307, 615, 21573, 344, 874, 517, 6100, 901, 6240, 2488, 519, 10009, 2877, 269, 10426, 633, 15562, 310, 1949, 616, 1031, 538, 15911, 16374, 1141, 16171, 1281, 711, 2049, 563, 30874, 15562, 310, 1949, 8415, 15450, 547, 32694, 3905, 1216, 630, 13449, 8520, 264, 610, 8022, 5714, 630, 29148, 31230, 264, 952, 513, 3002, 9401, 9734, 1374, 568, 1031, 630, 322, 1245, 16374, 1916, 23086, 9791, 25400, 9891, 585, 513, 1863, 7447, 543, 15360, 563, 23530, 11272, 7010, 689, 9791, 25400, 9891, 8415, 1152, 8810, 4066, 602, 5838, 6325, 267, 5826, 1863, 267, 543, 1942, 2500, 7791, 1648, 269, 0, 300, 7495, 5085, 910, 594, 12327, 4456, 2562, 9569, 630, 20464, 476, 1220, 278, 994, 12218, 910, 2473, 2862, 454, 11742, 281, 476, 274, 25980, 454, 6440, 28055, 20231, 5999, 563, 6440, 18329, 26732, 616, 711, 4847, 563, 6440, 5999, 476, 272, 547, 476, 276, 4163, 476, 272, 1665, 1142, 563, 6440, 5999, 476, 277, 547, 476, 1321, 4163, 476, 273, 7436, 1142, 563, 6440, 5999, 476, 1724, 547, 476, 2190, 4163, 476, 274, 7436, 1142, 563, 6440, 5999, 476, 1839, 547, 476, 2767, 4163, 476, 276, 7436, 1142, 563, 314, 272, 910, 1665, 5999, 2639, 272, 269, 8745, 1079, 6901, 610, 9259, 602, 1489, 519, 5951, 2470, 540, 9211, 563, 273, 269, 28081, 519, 1739, 10739, 1023, 538, 519, 2810, 1931, 540, 1648, 563, 338, 265, 272, 338, 267, 476, 273, 338, 267, 521, 476, 272, 338, 267, 476, 272, 338, 454, 274, 269, 1548, 568, 519, 6871, 4398, 540, 24386, 538, 554, 31983, 2497, 269, 1215, 798, 596, 2557, 519, 454, 324, 11797, 540, 24386, 538, 1560, 1298, 1042, 12945, 2497, 609, 602, 538, 554, 31983, 888, 275, 269, 3557, 8361, 779, 1876, 563, 276, 269, 1548, 568, 29660, 1101, 1931, 5114, 888, 314, 273, 910, 1665, 5999, 2639, 277, 269, 10055, 585, 519, 1739, 912, 5416, 264, 670, 293, 568, 513, 21260, 3679, 982, 670, 5141, 563, 6357, 264, 10878, 273, 295, 17269, 274, 568, 9243, 1247, 10878, 273, 295, 17269, 275, 568, 15755, 563, 278, 269, 634, 6678, 531, 6853, 540, 11517, 5314, 540, 5277, 2802, 20293, 996, 2033, 568, 476, 2918, 269, 1015, 737, 297, 12387, 268, 272, 520, 922, 14495, 1448, 454, 3374, 269, 876, 522, 290, 269, 12433, 519, 3044, 23811, 1689, 585, 519, 7503, 540, 32350, 547, 5277, 454, 520, 519, 14495, 1448, 563, 763, 3044, 6678, 531, 6853, 540, 12760, 630, 24941, 325, 639, 295, 334, 264, 543, 3044, 23811, 1689, 630, 24941, 325, 639, 3383, 264, 585, 519, 454, 17745, 1154, 540, 918, 5141, 616, 476, 278, 269, 1839, 737, 297, 12387, 268, 272, 543, 476, 278, 269, 876, 808, 918, 268, 272, 12387, 268, 272, 6606, 269, 12433, 519, 454, 17745, 1154, 1448, 540, 918, 5141, 563, 279, 269, 1323, 25694, 3070, 540, 19923, 12569, 275, 568, 14793, 338, 539, 1063, 31091, 22809, 1210, 513, 454, 9690, 540, 476, 275, 993, 701, 637, 585, 476, 1789, 3764, 269, 1548, 2527, 540, 7601, 568, 20024, 693, 519, 30932, 888, 314, 290, 340, 815, 476, 8287, 269, 276, 575, 12387, 268, 272, 282, 674, 284, 280, 4792, 876, 595, 12387, 268, 272, 2639, 280, 269, 630, 320, 264, 12315, 519, 2497, 540, 519, 9803, 2009, 12659, 2033, 799, 814, 513, 669, 12637, 3327, 11046, 563, 6357, 264, 10055, 585, 519, 1249, 602, 8544, 334, 7135, 616, 1904, 1227, 29680, 563, 1015, 269, 3503, 519, 7293, 1106, 27909, 543, 4408, 540, 519, 2185, 2009, 2472, 540, 620, 323, 565, 454, 1718, 18730, 1063, 2802, 534, 531, 543, 605, 3966, 531, 563, 1556, 269, 3503, 519, 3114, 3830, 547, 1397, 519, 7041, 540, 1142, 540, 519, 1739, 22169, 563, 1321, 269, 630, 320, 264, 1548, 568, 5921, 676, 3954, 4405, 566, 540, 3940, 888, 6357, 264, 630, 328, 264, 1548, 1826, 540, 3095, 720, 568, 3743, 585, 519, 5250, 540, 26887, 846, 689, 14668, 25322, 26651, 888, 23870, 264, 8745, 519, 10638, 2068, 3361, 1813, 547, 3668, 540, 6171, 661, 563, 314, 274, 910, 1665, 5999, 2639, 1724, 269, 634, 1648, 540, 519, 6475, 538, 7250, 11046, 568, 1107, 476, 273, 269, 1240, 1535, 476, 1015, 268, 1240, 297, 829, 11046, 269, 1403, 519, 6475, 454, 25388, 2125, 476, 272, 269, 280, 4343, 1535, 476, 1015, 268, 1240, 808, 267, 1018, 786, 581, 519, 9030, 7061, 1297, 540, 519, 6475, 538, 519, 9599, 1533, 888, 1691, 269, 630, 320, 264, 1403, 519, 8953, 540, 9149, 266, 9357, 568, 476, 2568, 10681, 543, 602, 540, 674, 268, 568, 476, 15793, 10681, 267, 1018, 616, 519, 11558, 454, 11133, 1499, 540, 9149, 266, 9357, 543, 674, 268, 538, 9149, 293, 888, 6357, 264, 769, 513, 4496, 19381, 728, 267, 1169, 824, 12354, 320, 14366, 8559, 538, 606, 554, 31983, 5044, 540, 19381, 728, 12274, 568, 13026, 454, 2421, 519, 4496, 9357, 269, 1548, 568, 519, 4542, 540, 519, 4496, 19381, 728, 888, 1428, 269, 630, 320, 264, 634, 23015, 5328, 2604, 540, 1973, 568, 476, 278, 269, 4037, 3046, 693, 519, 1560, 2837, 476, 4391, 522, 290, 269, 1548, 1058, 581, 454, 1492, 2527, 540, 7280, 829, 1396, 516, 585, 1818, 606, 32326, 13297, 602, 568, 13666, 4577, 609, 454, 29188, 286, 1496, 290, 277, 295, 1321, 302, 277, 815, 476, 5197, 575, 12387, 268, 272, 282, 681, 815, 476, 271, 269, 5400, 274, 3046, 918, 268, 272, 12387, 268, 272, 2639, 6357, 264, 28081, 519, 1739, 15559, 538, 519, 1931, 540, 2810, 14495, 2798, 912, 271, 269, 1428, 544, 918, 296, 267, 476, 271, 269, 4962, 544, 1325, 5141, 274, 267, 1216, 267, 476, 271, 269, 273, 544, 6970, 5141, 273, 563, 1626, 269, 630, 320, 264, 16294, 519, 2034, 1876, 540, 32721, 563, 6357, 264, 4855, 519, 1871, 540, 11466, 3586, 585, 519, 1739, 5114, 693, 476, 29218, 918, 563, 273, 19760, 274, 630, 326, 264, 1341, 2910, 273, 630, 326, 264, 19760, 273, 2910, 19760, 273, 630, 26698, 264, 1341, 670, 273, 302, 630, 331, 994, 763, 3044, 18582, 2125, 1648, 1689, 267, 18529, 337, 7883, 267, 693, 519, 2016, 2837, 568, 910, 476, 1724, 269, 277, 737, 297, 12387, 268, 563, 1704, 269, 630, 320, 264, 12433, 519, 11466, 3586, 585, 519, 1591, 5114, 912, 301, 328, 630, 338, 264, 1341, 19923, 273, 266, 630, 26698, 264, 15281, 273, 266, 630, 26698, 264, 1341, 19923, 630, 338, 264, 6902, 661, 334, 815, 476, 271, 269, 6795, 966, 454, 6357, 264, 1548, 568, 5921, 676, 519, 2165, 2048, 516, 9134, 1761, 685, 888, 1240, 269, 630, 320, 264, 1548, 568, 2557, 1876, 888, 6357, 264, 1280, 519, 5114, 267, 589, 1341, 476, 273, 289, 1341, 595, 667, 273, 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 ]
[ 0, 6092, 5149, 281, 21058, 5395, 658, 23703, 619, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 513, 1268, 22867, 2789, 15294, 619, 936, 513, 1974, 540, 942, 286, 901, 1826, 540, 6760, 568, 1572, 17626, 11318, 269, 2755, 1034, 1004, 8263, 602, 782, 17626, 6146, 619, 616, 2367, 267, 972, 723, 1044, 1082, 2021, 2429, 1686, 945, 723, 8149, 891, 15265, 10963, 1932, 269, 2913, 781, 1451, 811, 827, 4775, 17626, 6146, 619, 543, 1946, 789, 3479, 971, 27337, 881, 6411, 780, 4089, 476, 272, 281, 1548, 568, 513, 5395, 658, 918, 14525, 888, 288, 17626, 20740, 568, 2576, 945, 19754, 1079, 610, 811, 1004, 693, 5094, 2053, 267, 2356, 1739, 513, 1880, 4806, 610, 1505, 269, 1452, 10963, 666, 4755, 936, 1896, 2395, 267, 3275, 267, 610, 1256, 1296, 269, 4107, 540, 721, 917, 827, 4583, 5256, 17626, 6146, 619, 899, 23413, 25143, 344, 610, 11518, 9445, 667, 1695, 1067, 267, 855, 1577, 781, 2263, 519, 14758, 8153, 1158, 540, 4775, 17626, 6146, 619, 780, 4089, 476, 273, 281, 25587, 21058, 5395, 658, 23703, 619, 454, 3080, 1383, 540, 513, 4775, 17626, 20740, 568, 589, 850, 523, 18961, 1941, 657, 267, 849, 1634, 607, 3013, 781, 1101, 4775, 17626, 20740, 269, 2701, 7166, 5722, 2367, 1282, 513, 3670, 18881, 12732, 1063, 476, 2735, 280, 543, 476, 1960, 271, 269, 6271, 25337, 2013, 568, 602, 540, 10906, 24872, 800, 267, 513, 23826, 1293, 612, 15034, 540, 12475, 1005, 543, 15294, 1359, 7366, 540, 6690, 543, 1762, 2021, 538, 519, 3735, 476, 1626, 628, 2540, 269, 2859, 5063, 267, 538, 519, 2038, 476, 1220, 271, 338, 267, 12016, 8176, 595, 1638, 523, 23689, 19421, 540, 2550, 896, 1010, 1416, 269, 2368, 5359, 2303, 602, 1010, 608, 2914, 1057, 267, 1520, 6929, 928, 13643, 267, 949, 723, 5280, 1864, 1544, 543, 4163, 856, 519, 10963, 267, 1818, 1200, 513, 2009, 4775, 17626, 20740, 6104, 823, 780, 4089, 476, 274, 281, 4208, 798, 6468, 28161, 5395, 658, 23703, 619, 888, 2467, 3884, 1405, 835, 2582, 2601, 1946, 4896, 3587, 513, 17626, 20740, 267, 7488, 540, 4008, 269, 1717, 267, 4966, 3494, 602, 1978, 2188, 3565, 547, 741, 1646, 267, 1519, 6689, 8194, 267, 2790, 4576, 267, 7209, 4713, 267, 543, 2825, 7506, 269, 1280, 3236, 267, 13191, 5440, 3966, 267, 1776, 1134, 8153, 4775, 17626, 20740, 267, 21334, 539, 547, 15464, 936, 476, 1789, 1004, 1317, 1352, 10150, 8384, 873, 5884, 269, 4173, 3527, 5815, 513, 4049, 5626, 4524, 780, 4089, 476, 275, 281, 3733, 2195, 5288, 269, 18712, 454, 6624, 14868, 3295, 4775, 17626, 6146, 619, 267, 1419, 9446, 532, 873, 607, 9601, 2933, 2864, 982, 10419, 21116, 269, 2290, 1455, 31605, 568, 602, 8951, 1152, 1831, 17626, 6146, 619, 1813, 547, 6057, 610, 1582, 12413, 1619, 269, 1717, 267, 1382, 2982, 602, 1247, 891, 2188, 3006, 1404, 513, 1909, 267, 1034, 4775, 17626, 6146, 619, 957, 856, 540, 26846, 267, 20947, 267, 1379, 267, 610, 26497, 780, 6962, 912, 4407, 7234, 17626, 6146, 619, 666, 581, 23892, 267, 1620, 875, 543, 1946, 971, 2043, 3479, 29695, 10963, 2337, 721, 1732, 10146, 1480, 2623, 543, 6530, 269, 1635, 1565, 827, 1312, 5256, 543, 4775, 17626, 6146, 619, 267, 649, 2744, 3407, 4030, 883, 7803, 8186, 267, 3850, 721, 547, 1020, 2994, 547, 2061, 2147, 32333, 538, 519, 2104, 269, 5457, 267, 1498, 267, 602, 1483, 1272, 568, 1454, 10930, 543, 1447, 31029, 982, 1018, 596, 1294, 538, 9413, 610, 1224, 538, 2835, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 297, 3317, 11717, 3400, 903, 517, 2806, 9134, 7464, 9452, 454, 297, 3317, 11717, 3400, 903, 517, 2806, 9134, 7464, 9452, 5591, 267, 2048, 763, 2806, 9134, 540, 26391, 3400, 903, 517, 685, 568, 711, 1759, 593, 513, 3020, 1650, 269, 769, 513, 669, 3739, 1650, 602, 1614, 1114, 1004, 941, 3238, 538, 267, 513, 476, 2420, 4458, 6040, 3957, 25138, 729, 705, 2265, 539, 1318, 856, 519, 6885, 540, 1200, 561, 1735, 613, 4055, 676, 930, 4990, 540, 10760, 4739, 269, 476, 1001, 278, 282, 476, 272, 32162, 476, 4375, 25008, 30765, 267, 12246, 335, 1619, 715, 305, 13772, 4289, 269, 1809, 950, 1352, 2968, 513, 3993, 267, 3400, 903, 517, 3459, 547, 1589, 827, 519, 3020, 1764, 540, 7508, 856, 593, 713, 7096, 4276, 269, 808, 2894, 301, 9281, 2207, 717, 6938, 22076, 2177, 11828, 1200, 1007, 1433, 6167, 299, 2969, 6224, 3633, 269, 4634, 1310, 646, 13847, 1200, 267, 646, 1869, 568, 519, 17626, 20740, 269, 898, 729, 1969, 532, 29099, 1765, 337, 1430, 982, 9991, 1524, 267, 607, 513, 15246, 5182, 1522, 267, 621, 3079, 1743, 26661, 16057, 269, 589, 1126, 588, 1961, 26778, 781, 28120, 28076, 689, 519, 15506, 322, 1511, 269, 19663, 909, 267, 19784, 26391, 3400, 903, 517, 2219, 4986, 540, 519, 1249, 602, 1352, 729, 14311, 4542, 1922, 539, 269, 476, 276, 2929, 11175, 609, 513, 8832, 4993, 2749, 543, 922, 7128, 8257, 1310, 22602, 25323, 519, 4807, 781, 14969, 543, 536, 21289, 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, 24580, 5395, 658, 23703, 619, 257, 607, 851, 540, 834, 15045, 16604, 595, 6020, 10933, 1315, 12653, 1457, 1315, 5395, 658, 23703, 619, 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, 15215, 568, 513, 1950, 543, 15491, 7613, 602, 814, 1044, 513, 3844, 2460, 540, 1480, 2528, 543, 2486, 2429, 1686, 269, 2311, 922, 4295, 267, 4984, 4016, 547, 513, 1305, 540, 4978, 543, 2853, 7282, 519, 16750, 267, 607, 1134, 607, 519, 2078, 1063, 519, 10143, 543, 8103, 269, 901, 4214, 13315, 513, 2647, 2039, 540, 5389, 267, 1519, 13221, 267, 799, 568, 519, 1445, 540, 713, 1576, 1770, 780, 289, 3291, 11297, 568, 513, 2101, 1158, 4984, 602, 12090, 538, 3504, 3127, 1472, 476, 4335, 14514, 269, 898, 729, 8547, 676, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 945, 2663, 2968, 1634, 607, 519, 17700, 267, 610, 834, 1492, 32570, 539, 835, 1701, 634, 10752, 540, 519, 17700, 11168, 519, 13287, 540, 7326, 267, 5683, 2932, 267, 543, 2790, 9015, 538, 1931, 547, 3035, 19802, 689, 7092, 543, 12492, 513, 1533, 540, 10700, 4708, 543, 8788, 780, 3080, 540, 519, 1883, 2035, 538, 14418, 2219, 568, 8200, 1976, 1588, 267, 849, 1634, 607, 8200, 1071, 268, 541, 2358, 610, 929, 520, 640, 553, 600, 583, 335, 3385, 538, 16130, 269, 901, 6240, 6585, 602, 782, 9259, 8451, 538, 13829, 2390, 824, 2188, 282, 4986, 6818, 10446, 610, 20244, 269, 4340, 547, 713, 2070, 267, 3388, 538, 519, 7122, 568, 10562, 543, 22524, 8817, 267, 543, 4986, 666, 581, 6956, 538, 10072, 780, 291, 8817, 1976, 1588, 568, 1419, 11609, 998, 519, 3239, 540, 1473, 571, 781, 2121, 267, 513, 5318, 3060, 540, 9925, 1564, 602, 9356, 1169, 824, 13049, 538, 519, 2121, 269, 3962, 13049, 4564, 513, 2582, 4090, 610, 2680, 267, 543, 519, 18759, 1063, 873, 9414, 875, 789, 616, 4448, 543, 3310, 835, 1776, 269, 901, 1523, 8711, 519, 2856, 602, 938, 3527, 543, 2833, 798, 711, 2049, 538, 513, 12511, 267, 855, 2864, 616, 8032, 676, 543, 723, 4539, 585, 9118, 824, 2188, 780, 1607, 5813, 814, 7096, 6286, 585, 938, 1620, 540, 4641, 543, 6000, 269, 1280, 1383, 267, 621, 5267, 602, 972, 568, 1100, 6378, 1582, 610, 24178, 602, 6818, 10446, 540, 938, 4555, 267, 4664, 267, 543, 2833, 269, 5502, 267, 519, 1582, 568, 2938, 607, 513, 7683, 4657, 1184, 267, 16109, 543, 8429, 2476, 538, 1142, 4090, 269, 901, 5133, 7512, 721, 547, 1577, 979, 540, 13613, 547, 513, 14461, 2631, 540, 3961, 543, 547, 9784, 1689, 543, 6650, 2006, 775, 607, 4909, 3344, 540, 6228, 780, 13010, 267, 8200, 1976, 1588, 2591, 519, 10206, 540, 12242, 1143, 267, 610, 519, 3661, 602, 972, 568, 513, 2312, 9668, 1063, 2247, 543, 1560, 267, 610, 1582, 543, 1866, 269, 5502, 267, 621, 5267, 602, 891, 6688, 616, 703, 2954, 5532, 543, 20102, 12018, 269, 901, 5813, 20217, 721, 547, 2015, 519, 2081, 538, 799, 938, 6418, 2829, 1860, 519, 9018, 1158, 267, 543, 13030, 17930, 780, 1103, 4207, 2053, 267, 519, 3741, 540, 8200, 1976, 1588, 723, 1336, 16982, 538, 1585, 4610, 971, 607, 14498, 267, 6530, 267, 543, 6323, 269, 8278, 5505, 1353, 519, 6946, 3103, 540, 4296, 1063, 1114, 2249, 543, 741, 5054, 267, 1247, 16895, 2263, 519, 1950, 4205, 1063, 938, 4555, 267, 4606, 267, 543, 5615, 269, 6684, 267, 21575, 8495, 519, 4909, 2470, 540, 4641, 267, 12423, 602, 5536, 543, 6329, 616, 711, 5094, 9988, 855, 2864, 1114, 19183, 540, 519, 1482, 5817, 9259, 780, 11101, 267, 8200, 1976, 1588, 3091, 3407, 4030, 883, 2152, 971, 607, 2916, 1689, 267, 1514, 5126, 267, 543, 2790, 1072, 269, 1635, 9301, 519, 22524, 11163, 540, 782, 7919, 543, 1919, 267, 649, 616, 9415, 547, 1491, 5539, 585, 938, 3527, 543, 741, 1764, 593, 519, 9962, 1158, 269, 1284, 1831, 12592, 547, 957, 31719, 267, 8296, 2299, 267, 543, 30396, 267, 6616, 602, 938, 5079, 3565, 547, 5935, 519, 1158, 649, 9468, 780, 1103, 3932, 267, 8200, 1976, 1588, 568, 513, 2629, 1523, 538, 14418, 6138, 602, 24259, 1769, 593, 519, 25872, 543, 22524, 11163, 540, 782, 9259, 269, 4706, 10083, 11498, 2484, 3564, 519, 7706, 540, 4984, 267, 5356, 7096, 4030, 883, 519, 2470, 540, 4641, 267, 519, 1582, 267, 543, 938, 1747, 1369, 519, 3677, 5117, 269, 1635, 8508, 713, 5133, 267, 649, 666, 6536, 3152, 4656, 267, 6568, 267, 543, 5539, 2509, 6000, 267, 1866, 267, 543, 519, 2067, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 2165, 4984, 630, 5228, 5824, 281, 2538, 1470, 2495, 834, 321, 785, 267, 1921, 8442, 18575, 513, 1305, 540, 1455, 4978, 543, 2853, 17640, 547, 519, 16750, 630, 663, 922, 2078, 547, 8103, 543, 519, 26355, 1070, 799, 616, 1419, 13798, 1881, 883, 11755, 267, 9161, 267, 30920, 267, 543, 3909, 1876, 269, 1452, 4978, 543, 2853, 616, 3335, 3989, 538, 1769, 540, 513, 3838, 28138, 6863, 540, 9006, 30514, 5389, 267, 12591, 267, 1686, 267, 543, 13299, 269, 1306, 3909, 5389, 616, 1419, 7184, 11251, 883, 1808, 2686, 8658, 267, 891, 5389, 1419, 2270, 5837, 9479, 602, 7291, 519, 3347, 602, 513, 1825, 591, 568, 4397, 547, 11349, 609, 2463, 547, 2933, 267, 824, 21071, 267, 16080, 11107, 267, 543, 519, 16750, 1158, 269, 7053, 267, 513, 1455, 3693, 540, 1082, 3909, 5389, 568, 519, 6498, 540, 519, 1158, 538, 1079, 3102, 11890, 267, 835, 10723, 267, 519, 824, 1527, 2033, 269, 769, 713, 2796, 267, 3909, 2219, 543, 2259, 616, 6322, 693, 30431, 908, 543, 556, 4328, 891, 1079, 19635, 26441, 998, 2123, 4674, 543, 5924, 18497, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 13221, 1315, 4937, 1315, 667, 8817, 7880, 1588, 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, 6637, 281, 4197, 15616, 18132, 545, 5516, 910, 589, 24732, 268, 4002, 13979, 547, 2657, 692, 5970, 596, 2479, 1185, 513, 15319, 8405, 610, 1394, 1310, 9361, 585, 1932, 1279, 610, 8876, 513, 5230, 30618, 286, 6884, 267, 891, 24074, 979, 2476, 609, 1964, 610, 936, 7308, 23716, 6646, 269, 1809, 1018, 952, 789, 1810, 1405, 286, 20821, 519, 1158, 540, 31497, 1416, 256, 901, 7936, 540, 4915, 6212, 593, 3946, 6823, 5574, 585, 1585, 2168, 2152, 267, 2523, 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 ]
[ 0, 3698, 9498, 16325, 272, 267, 1003, 273, 267, 11346, 8029, 24541, 825, 1840, 815, 1003, 272, 1341, 1003, 273, 1477, 825, 12408, 815, 1003, 272, 910, 1003, 273, 1477, 825, 8691, 815, 1003, 272, 2608, 1003, 273, 1477, 825, 6498, 815, 1003, 272, 1315, 1003, 273, 5897, 825, 952, 11346, 2652, 476, 272, 6769, 1038, 1820, 3488, 11405, 281, 22207, 1341, 1840, 3418, 825, 8640, 11346, 2652, 476, 273, 6769, 1038, 1820, 3488, 11405, 281, 22207, 1341, 12408, 3418, 825, 8640, 11346, 2652, 476, 274, 6769, 1038, 1820, 3488, 11405, 281, 22207, 1341, 8691, 3418, 825, 8640, 11346, 2652, 476, 275, 6769, 1038, 1820, 3488, 11405, 281, 22207, 1341, 6498, 3418, 825, 3116, 6769, 1038, 1820, 3488, 2207, 305, 3036, 654, 305, 32670, 5442, 303, 7473, 262, 10142, 2745, 2891, 23911, 5741, 1948, 272, 281, 9978, 18185, 14744, 2745, 2891, 23330, 1807, 5903, 281, 834, 3418, 2745, 2891, 272, 815, 1341, 14744, 2745, 2891, 273, 815, 910, 14744, 2745, 2891, 274, 815, 2608, 14744, 2745, 2891, 275, 815, 1315, 14744, 15893, 3080, 815, 703, 9272, 2891, 5575, 1871, 281, 834, 17903, 15893, 10521, 815, 703, 9272, 2891, 13553, 1871, 281, 834, 17903, 28072, 815, 703, 9272, 2891, 13043, 11346, 281, 834, 264, 10142, 28237, 815, 9498, 28840, 3080, 267, 1297, 10521, 267, 11346, 3418, 24541, 24541, 672, 0, 3698, 1387, 529, 541, 17338, 320, 8029, 825, 12366, 334, 815, 3193, 17338, 320, 3418, 825, 6922, 334, 815, 1295, 17338, 320, 3418, 825, 30458, 31927, 32384, 24982, 3418, 825, 30458, 31927, 263, 2381, 24982, 3418, 825, 1474, 320, 815, 476, 271, 1477, 825, 585, 795, 538, 30458, 6769, 1038, 1474, 320, 815, 1474, 320, 1341, 795, 1477, 825, 2923, 815, 1474, 320, 270, 6352, 17338, 320, 3418, 825, 2132, 12366, 334, 267, 6922, 334, 267, 2923, 24653, 520, 2280, 320, 815, 3403, 3488, 301, 727, 798, 693, 2280, 320, 281, 1412, 3418, 4289, 320, 5334, 531, 1729, 815, 1496, 15947, 333, 815, 476, 271, 1477, 6112, 562, 2999, 476, 279, 6769, 825, 2892, 1729, 815, 10581, 9272, 6600, 262, 346, 333, 266, 272, 348, 23263, 2892, 1729, 267, 3502, 320, 281, 1412, 17903, 825, 30458, 5334, 531, 1729, 6910, 4433, 531, 1729, 3418, 825, 562, 815, 562, 1341, 476, 272, 5897, 2745, 6600, 262, 315, 333, 288, 1479, 3279, 281, 2715, 520, 2280, 320, 348, 20298, 1721, 512, 538, 30458, 5334, 531, 1729, 6769, 825, 1820, 6600, 262, 301, 7974, 281, 2715, 339, 348, 20298, 14310, 5964, 6958, 1400, 815, 1387, 529, 541, 17338, 320, 5334, 531, 1729, 3418, 2745, 28361, 333, 4910, 738, 5964, 15937, 281, 262, 1477, 8587, 535, 262, 315, 333, 288, 1479, 3279, 281, 2715, 520, 2280, 320, 348, 262, 1477, 8587, 535, 262, 315, 333, 27839, 1817, 6428, 1729, 281, 2715, 14310, 5964, 6958, 1400, 314, 271, 316, 348, 262, 1477, 8587, 535, 262, 315, 333, 303, 1640, 6428, 1729, 281, 2715, 14310, 5964, 6958, 1400, 314, 272, 316, 348, 262, 1477, 8587, 535, 262, 315, 333, 300, 2946, 29953, 281, 2715, 1037, 31114, 5964, 6958, 1400, 314, 273, 3910, 476, 273, 14587, 20298, 0, 3698, 7381, 17338, 320, 8029, 825, 13798, 272, 815, 476, 271, 1477, 825, 554, 724, 272, 815, 476, 271, 1477, 825, 530, 724, 339, 272, 815, 476, 271, 1477, 825, 585, 562, 538, 30458, 6769, 1038, 13798, 318, 591, 815, 562, 314, 271, 15947, 1038, 554, 724, 318, 591, 815, 562, 314, 272, 15947, 1038, 530, 724, 339, 318, 591, 815, 562, 314, 273, 15947, 1038, 952, 554, 724, 318, 591, 3436, 554, 724, 272, 6769, 2018, 13798, 272, 815, 13798, 318, 591, 1477, 2018, 554, 724, 272, 815, 554, 724, 318, 591, 1477, 2018, 530, 724, 339, 272, 815, 530, 724, 339, 318, 591, 1477, 825, 2132, 13798, 272, 267, 554, 724, 272, 267, 530, 724, 339, 272, 24653, 3698, 1507, 17338, 320, 8029, 825, 13798, 272, 815, 476, 4968, 271, 1477, 825, 554, 724, 272, 815, 476, 4968, 271, 1477, 825, 530, 724, 339, 272, 815, 476, 4968, 271, 1477, 825, 585, 562, 538, 30458, 6769, 1038, 13798, 318, 591, 815, 562, 314, 271, 15947, 1038, 554, 724, 318, 591, 815, 562, 314, 272, 15947, 1038, 530, 724, 339, 318, 591, 815, 562, 314, 273, 15947, 1038, 952, 554, 724, 318, 591, 2999, 554, 724, 272, 6769, 2018, 13798, 272, 815, 13798, 318, 591, 1477, 2018, 554, 724, 272, 815, 554, 724, 318, 591, 1477, 2018, 530, 724, 339, 272, 815, 530, 724, 339, 318, 591, 1477, 825, 2132, 13798, 272, 267, 554, 724, 272, 267, 530, 724, 339, 272, 24653, 3698, 3170, 17338, 320, 8029, 825, 13798, 272, 815, 476, 271, 1477, 825, 554, 724, 272, 815, 476, 271, 1477, 825, 530, 724, 339, 272, 815, 476, 271, 1477, 825, 585, 562, 538, 30458, 6769, 1038, 13798, 318, 591, 815, 562, 314, 271, 15947, 1038, 554, 724, 318, 591, 815, 562, 314, 272, 15947, 1038, 530, 724, 339, 318, 591, 815, 562, 314, 273, 15947, 1038, 952, 530, 724, 339, 318, 591, 3436, 530, 724, 339, 272, 6769, 2018, 13798, 272, 815, 13798, 318, 591, 1477, 2018, 554, 724, 272, 815, 554, 724, 318, 591, 1477, 2018, 530, 724, 339, 272, 815, 530, 724, 339, 318, 591, 1477, 825, 2132, 13798, 272, 267, 554, 724, 272, 267, 530, 724, 339, 272, 24653, 3698, 6094, 17338, 320, 8029, 825, 13798, 272, 815, 476, 4968, 271, 1477, 825, 554, 724, 272, 815, 476, 4968, 271, 1477, 825, 530, 724, 339, 272, 815, 476, 4968, 271, 1477, 825, 585, 562, 538, 30458, 6769, 1038, 13798, 318, 591, 815, 562, 314, 271, 15947, 1038, 554, 724, 318, 591, 815, 562, 314, 272, 15947, 1038, 530, 724, 339, 318, 591, 815, 562, 314, 273, 15947, 1038, 952, 530, 724, 339, 318, 591, 2999, 530, 724, 339, 272, 6769, 2018, 13798, 272, 815, 13798, 318, 591, 1477, 2018, 554, 724, 272, 815, 554, 724, 318, 591, 1477, 2018, 530, 724, 339, 272, 815, 530, 724, 339, 318, 591, 1477, 825, 2132, 13798, 272, 267, 554, 724, 272, 267, 530, 724, 339, 272, 24653, 3698, 3328, 20189, 724, 17338, 320, 8029, 825, 3141, 815, 476, 271, 1477, 825, 585, 562, 538, 30458, 6769, 1038, 3141, 815, 3141, 1341, 562, 314, 272, 15947, 825, 2132, 3141, 270, 6352, 17338, 320, 3418, 5897, 3698, 3328, 16062, 724, 17338, 320, 8029, 825, 3141, 815, 476, 271, 1477, 825, 585, 562, 538, 30458, 6769, 1038, 3141, 815, 3141, 1341, 562, 314, 273, 15947, 825, 2132, 3141, 270, 6352, 17338, 320, 3418, 5897, 1173, 815, 6936, 1477, 4289, 320, 318, 2102, 1968, 815, 1496, 15947, 6112, 2415, 6769, 825, 13798, 815, 10581, 9272, 3488, 13911, 707, 3009, 286, 1412, 17903, 825, 952, 13798, 11203, 476, 271, 6769, 1038, 554, 724, 815, 10581, 9272, 3488, 13911, 707, 27551, 286, 10807, 3418, 1038, 530, 724, 339, 815, 10581, 9272, 3488, 13911, 707, 13379, 286, 1412, 17903, 1038, 8913, 680, 320, 12774, 815, 630, 322, 617, 267, 554, 724, 267, 530, 724, 339, 3418, 1038, 30458, 318, 2102, 1968, 6910, 6025, 340, 680, 320, 12774, 3418, 825, 3116, 6769, 1038, 2415, 815, 8771, 5897, 343, 815, 7381, 17338, 320, 318, 2102, 1968, 3418, 344, 815, 1507, 17338, 320, 318, 2102, 1968, 3418, 342, 815, 3170, 17338, 320, 318, 2102, 1968, 3418, 339, 815, 6094, 17338, 320, 318, 2102, 1968, 3418, 325, 815, 3328, 20189, 724, 17338, 320, 318, 2102, 1968, 3418, 327, 815, 3328, 16062, 724, 17338, 320, 318, 2102, 1968, 10142, 2745, 6600, 31415, 515, 7381, 7817, 568, 2715, 343, 314, 271, 316, 348, 609, 2715, 343, 314, 272, 316, 348, 9492, 20298, 2745, 6600, 31415, 515, 1507, 7817, 568, 2715, 344, 314, 271, 316, 348, 609, 2715, 344, 314, 272, 316, 348, 9492, 20298, 2745, 6600, 31415, 515, 3170, 7817, 568, 2715, 342, 314, 271, 316, 348, 609, 2715, 342, 314, 273, 316, 348, 298, 294, 20298, 2745, 6600, 31415, 515, 3364, 7817, 568, 2715, 339, 314, 271, 316, 348, 609, 2715, 339, 314, 273, 316, 348, 298, 294, 20298, 2745, 6600, 31415, 515, 27551, 3328, 568, 2715, 1037, 6600, 267, 476, 273, 14587, 20298, 2745, 6600, 31415, 515, 13379, 3328, 568, 2715, 1037, 22607, 267, 476, 273, 14587, 20298, 0, 5814, 14854, 454, 5228, 14854, 1104, 2608, 692, 5035, 1744, 2393, 24867, 31103, 2187, 22592, 6449, 8181, 9191, 1345, 267, 1535, 11971, 267, 337, 2187, 453, 453, 307, 31103, 14857, 8181, 9191, 1345, 994, 453, 19677, 19544, 573, 564, 31103, 4590, 453, 19677, 4877, 340, 4590, 453, 19677, 6155, 344, 284, 476, 1428, 454, 453, 19677, 11859, 284, 1535, 454, 453, 19677, 13885, 284, 586, 454, 453, 19677, 25331, 284, 337, 454, 453, 19677, 17482, 2891, 15132, 548, 5602, 453, 19677, 269, 10233, 2891, 1042, 5602, 453, 19677, 11075, 16747, 1125, 263, 272, 994, 453, 19677, 3052, 9369, 3287, 11971, 994, 453, 19677, 20481, 339, 31103, 4590, 22592, 1847, 4311, 2187, 453, 453, 9690, 14729, 815, 1582, 13885, 14585, 4590, 453, 453, 2908, 14729, 815, 1699, 14729, 1341, 1582, 6155, 344, 454, 453, 19677, 3052, 9369, 4311, 11859, 14585, 19572, 2908, 14729, 9239, 453, 692, 28768, 0, 258, 634, 4305, 729, 547, 1711, 24383, 540, 2901, 2338, 610, 6801, 1477, 258, 594, 4956, 547, 849, 1039, 18158, 3337, 4183, 607, 568, 3340, 811, 5569, 2040, 521, 1156, 534, 580, 753, 1477, 258, 2353, 6724, 1058, 581, 9138, 676, 519, 3593, 543, 786, 581, 4280, 2394, 646, 11378, 513, 2953, 1871, 1477, 258, 4746, 18158, 543, 24383, 10253, 609, 3403, 547, 2141, 3251, 519, 1318, 3337, 630, 1721, 1383, 952, 476, 1911, 9343, 616, 9138, 6769, 258, 782, 2539, 1931, 2338, 538, 18158, 543, 24383, 786, 581, 476, 9826, 267, 476, 16573, 267, 3092, 269, 547, 1832, 519, 1318, 3337, 10142, 258, 2311, 1376, 594, 17551, 782, 2009, 5569, 11378, 585, 3593, 1477, 24987, 4289, 815, 18358, 6853, 1090, 573, 3299, 1412, 560, 4202, 11172, 1477, 24987, 4289, 273, 815, 18358, 13433, 3299, 1412, 7224, 11172, 1477, 24987, 4289, 274, 815, 18358, 11133, 1499, 3299, 1412, 560, 1513, 11172, 5897, 258, 2353, 1250, 1982, 786, 10956, 3294, 28222, 267, 2394, 3593, 23403, 1412, 7224, 262, 538, 519, 1439, 1477, 6112, 6936, 6769, 825, 1948, 3371, 3593, 1590, 14574, 519, 25739, 3337, 269, 594, 2638, 952, 1010, 3403, 568, 538, 1592, 540, 2009, 4267, 543, 952, 621, 568, 711, 267, 1477, 825, 1948, 1775, 2307, 1864, 1586, 23182, 267, 2394, 646, 2306, 513, 2953, 3403, 1477, 825, 1247, 6936, 6769, 1038, 586, 815, 3403, 3488, 2710, 596, 1616, 547, 1205, 18158, 610, 24383, 286, 1412, 3418, 1038, 952, 586, 538, 2626, 4289, 6769, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 13695, 1090, 573, 610, 24383, 256, 20298, 2018, 3136, 5897, 825, 1948, 3371, 3593, 1590, 14574, 1018, 1412, 321, 9581, 262, 1590, 581, 1031, 267, 2338, 610, 6801, 23228, 825, 1948, 594, 2638, 952, 1010, 3403, 568, 538, 1592, 540, 2009, 4267, 543, 952, 621, 568, 711, 267, 1477, 825, 1948, 1775, 2307, 1864, 1586, 23182, 267, 2394, 646, 2306, 513, 2953, 3403, 1477, 825, 1247, 6936, 6769, 1038, 795, 815, 3403, 3488, 2710, 596, 1616, 547, 946, 2338, 610, 6801, 286, 1412, 3418, 1038, 952, 795, 538, 2626, 4289, 274, 6769, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 301, 13246, 610, 6801, 256, 20298, 2018, 3136, 5897, 825, 1948, 3371, 3593, 1590, 14574, 519, 1297, 540, 9343, 23228, 825, 1948, 594, 2638, 952, 1010, 3403, 568, 8870, 1871, 543, 952, 621, 568, 711, 267, 1477, 825, 1948, 1775, 2307, 1864, 1586, 23182, 267, 2394, 646, 2306, 513, 2953, 3403, 1477, 825, 1247, 6936, 6769, 1038, 2119, 6769, 2018, 1535, 815, 703, 9272, 3488, 8923, 3403, 519, 1297, 540, 9343, 281, 1412, 17903, 2018, 2736, 1477, 1038, 4849, 28759, 6769, 2018, 1820, 3488, 8923, 4283, 606, 8870, 1297, 256, 20298, 2018, 3136, 5897, 825, 1948, 3487, 540, 3009, 585, 24383, 3337, 1477, 825, 952, 586, 2652, 1412, 560, 4202, 262, 6769, 1038, 585, 1775, 538, 2039, 263, 272, 267, 1535, 266, 272, 8029, 2018, 1948, 7395, 673, 851, 540, 3009, 602, 11225, 25382, 543, 18094, 540, 3337, 1477, 2018, 1948, 476, 585, 2338, 540, 1931, 2362, 982, 835, 1477, 2018, 952, 795, 2652, 1412, 11133, 1499, 262, 6769, 3546, 562, 815, 7003, 19304, 3287, 17903, 3546, 561, 815, 562, 910, 7003, 19304, 9217, 17903, 3546, 533, 815, 1412, 271, 262, 2608, 561, 1341, 1193, 9217, 3418, 3546, 1820, 9230, 1598, 9638, 11924, 262, 1412, 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 ]
[ 10265, 1652, 5023, 3568, 1079, 6252, 9343, 540, 11329, 23128, 11294, 748, 4522, 267, 799, 616, 17956, 547, 678, 5684, 6438, 5959, 10824, 269, 1358, 723, 513, 3126, 540, 3046, 321, 1564, 1472, 741, 2212, 602, 616, 1031, 607, 10444, 8219, 547, 3713, 1426, 269, 1358, 723, 513, 4737, 540, 4557, 547, 27552, 22405, 610, 1793, 830, 15374, 593, 1312, 5011, 540, 741, 1560, 269, 1879, 989, 18469, 267, 789, 616, 5827, 540, 6721, 2941, 1190, 5666, 540, 1793, 830, 538, 513, 1360, 2110, 1974, 540, 942, 799, 789, 946, 607, 513, 2178, 8878, 7271, 547, 2057, 32456, 269, 1358, 849, 723, 519, 2702, 547, 17063, 2933, 538, 513, 24516, 267, 849, 547, 2057, 32456, 563, 763, 7414, 670, 698, 8127, 616, 513, 1629, 619, 531, 2249, 1336, 689, 519, 8544, 641, 601, 20723, 547, 519, 705, 903, 15680, 2157, 593, 519, 18626, 21684, 543, 5580, 19527, 540, 519, 5836, 538, 543, 1472, 521, 2830, 543, 10036, 4420, 1682, 693, 17909, 1063, 476, 4649, 543, 476, 274, 267, 8517, 3952, 269, 1358, 616, 1034, 3742, 693, 3781, 543, 6108, 741, 2395, 538, 3276, 4900, 609, 741, 9843, 6534, 269, 1358, 3914, 513, 5021, 3259, 540, 476, 11025, 4699, 630, 3953, 6279, 1040, 1358, 616, 2309, 2065, 29650, 609, 513, 16994, 2631, 540, 9329, 602, 4323, 4666, 610, 12955, 3165, 543, 7286, 2831, 602, 13956, 689, 519, 10652, 20723, 7997, 538, 7372, 3506, 269, 1358, 3276, 992, 883, 741, 10352, 676, 1818, 513, 8559, 609, 741, 678, 5684, 6438, 4522, 610, 4283, 998, 606, 4540, 6679, 547, 8532, 741, 10352, 3330, 856, 267, 6028, 1152, 519, 2960, 543, 7633, 3297, 950, 789, 616, 2944, 269, 1358, 849, 723, 519, 2702, 547, 10110, 5567, 998, 741, 2960, 267, 799, 568, 2189, 1851, 782, 476, 2004, 267, 1822, 30900, 269, 1358, 616, 5156, 547, 581, 519, 27521, 3297, 13148, 13881, 3165, 3144, 676, 1279, 4802, 619, 543, 1644, 3165, 10591, 267, 1031, 585, 1383, 676, 519, 10300, 756, 583, 5010, 13278, 344, 269, 1358, 8532, 4874, 15939, 23176, 17494, 543, 824, 5377, 21426, 593, 513, 3908, 4493, 269, 1306, 971, 789, 1404, 606, 1271, 1909, 538, 519, 5117, 7393, 2518, 9979, 540, 3327, 267, 9436, 267, 543, 8485, 5387, 269, 1358, 723, 513, 3500, 10307, 543, 666, 7639, 585, 909, 547, 5722, 3275, 1510, 4189, 269, 1358, 616, 10352, 539, 2390, 676, 4993, 7256, 700, 687, 267, 8832, 18479, 11244, 1530, 1023, 267, 543, 23320, 1530, 1023, 543, 741, 5798, 616, 10352, 539, 2390, 676, 590, 762, 8127, 267, 18479, 11244, 1530, 1023, 267, 543, 824, 7414, 670, 698, 8127, 269, 631, 2297, 616, 5594, 811, 10731, 982, 8951, 269, 1358, 16196, 3842, 5007, 22289, 609, 1142, 4775, 6721, 1063, 8938, 543, 13977, 5798, 829, 3045, 636, 269, 1358, 616, 3622, 513, 1360, 14605, 6594, 2249, 543, 1360, 2370, 568, 1634, 827, 741, 4890, 8965, 3270, 563, 1103, 11204, 7297, 519, 7414, 670, 698, 8127, 723, 513, 3908, 3892, 1373, 1336, 689, 2871, 518, 516, 549, 27740, 5087, 1189, 2059, 519, 3844, 543, 22070, 5032, 338, 540, 519, 645, 24652, 563, 763, 7414, 670, 698, 8127, 666, 581, 3362, 11821, 609, 513, 3126, 540, 824, 670, 698, 8127, 267, 519, 1034, 1455, 1373, 519, 4563, 670, 698, 8127, 267, 661, 696, 520, 4958, 639, 632, 8643, 630, 1372, 4177, 1216, 282, 1625, 680, 880, 3109, 2681, 282, 10156, 2212, 282, 19330, 3043, 1858, 1472, 575, 650, 6227, 1916, 763, 7414, 670, 698, 8127, 616, 513, 6098, 5010, 2249, 2059, 519, 4639, 11076, 540, 3345, 3013, 609, 3165, 1373, 9575, 609, 2620, 1216, 20637, 269, 12551, 616, 2901, 13792, 693, 4262, 610, 9738, 2661, 269, 31530, 7999, 3165, 616, 29633, 547, 5607, 693, 513, 1377, 540, 476, 8517, 9748, 829, 3045, 636, 630, 5976, 827, 476, 4792, 260, 540, 519, 3165, 1373, 7414, 670, 698, 8127, 264, 585, 519, 2504, 540, 16463, 5370, 269, 14970, 3165, 616, 4421, 693, 6803, 6990, 2059, 519, 4639, 11076, 540, 519, 2136, 2276, 269, 1358, 616, 12212, 9575, 676, 16351, 2587, 6840, 269, 670, 698, 8127, 2960, 568, 1031, 547, 3812, 968, 324, 601, 2960, 892, 7802, 267, 26797, 267, 543, 824, 17960, 269, 1703, 814, 1044, 1007, 1719, 568, 519, 946, 540, 688, 326, 8127, 1793, 830, 607, 513, 10682, 585, 5841, 2326, 971, 607, 562, 14125, 547, 3132, 811, 13476, 7874, 2472, 971, 607, 2021, 779, 7802, 543, 538, 31442, 29864, 547, 2673, 521, 583, 999, 269, 9603, 547, 519, 5230, 3747, 585, 688, 326, 8127, 543, 1644, 5230, 10068, 2604, 267, 741, 5095, 616, 5156, 547, 581, 538, 7771, 269, 11094, 3800, 2059, 519, 4639, 11076, 540, 519, 2136, 2276, 616, 711, 4867, 538, 1747, 855, 616, 533, 2056, 563, 8923, 6443, 721, 593, 5239, 476, 736, 547, 2671, 538, 519, 11812, 540, 2817, 670, 698, 8127, 4303, 256, 0, 1607, 568, 519, 476, 1015, 628, 538, 513, 1305, 540, 2110, 21448, 585, 2979, 5049, 734, 1789, 21448, 267, 476, 1015, 2055, 538, 1142, 5180, 269, 2422, 21448, 607, 513, 3232, 610, 12353, 3636, 5346, 2534, 267, 513, 1353, 3391, 267, 513, 2319, 6735, 267, 513, 2656, 2689, 267, 610, 606, 2534, 547, 723, 585, 513, 12990, 256, 3962, 5180, 568, 5612, 4553, 676, 519, 2626, 1883, 269, 10789, 21448, 1331, 513, 2689, 540, 9511, 267, 21335, 267, 3252, 267, 5276, 4834, 267, 1949, 540, 4834, 267, 20800, 3652, 267, 18119, 267, 543, 811, 2336, 3528, 4569, 27684, 0, 2467, 616, 476, 275, 8747, 540, 8285, 10606, 476, 271, 268, 736, 281, 2051, 1819, 609, 543, 1510, 1769, 23469, 24056, 585, 23021, 547, 917, 799, 10833, 547, 6445, 543, 645, 270, 310, 538, 1346, 1482, 476, 273, 8747, 563, 349, 7179, 3817, 454, 349, 5620, 1053, 2322, 513, 6529, 518, 538, 519, 1297, 540, 10945, 585, 1142, 1297, 563, 272, 269, 7822, 538, 519, 2953, 2179, 540, 10945, 454, 273, 269, 9255, 1022, 6354, 11494, 540, 707, 3903, 538, 1142, 4009, 267, 1775, 4318, 269, 4154, 8127, 267, 17869, 3930, 267, 19273, 267, 7725, 267, 16115, 267, 3092, 563, 274, 269, 700, 3133, 622, 543, 723, 1053, 2328, 606, 968, 334, 892, 610, 968, 343, 892, 538, 1142, 4216, 1210, 3819, 268, 518, 848, 12508, 563, 275, 269, 9255, 9212, 538, 2985, 2149, 832, 543, 723, 1053, 2328, 606, 968, 334, 892, 610, 968, 343, 892, 538, 1142, 4216, 1210, 3819, 268, 518, 848, 12508, 269, 0, 5415, 982, 476, 2420, 2929, 4892, 540, 782, 6502, 723, 10447, 269, 16259, 547, 2911, 547, 707, 4387, 827, 2589, 267, 5868, 543, 2126, 3681, 563, 268, 7392, 476, 273, 12128, 9978, 5013, 827, 1826, 476, 273, 3987, 1299, 1981, 2188, 547, 581, 3222, 540, 563, 268, 8330, 8676, 2859, 982, 476, 2420, 2929, 4892, 7985, 689, 10447, 269, 5192, 519, 5013, 563, 268, 20150, 25400, 13081, 5192, 519, 5013, 827, 20150, 25400, 13081, 630, 32359, 1916, 268, 19974, 8330, 8676, 19974, 10447, 5013, 267, 1519, 3123, 267, 2589, 1299, 8374, 563, 268, 23420, 2717, 6352, 30665, 5192, 519, 5013, 827, 6371, 14947, 30665, 563, 268, 5851, 2353, 25489, 12700, 827, 11255, 11959, 267, 1519, 2589, 1299, 1455, 23480, 563, 268, 6431, 11962, 8330, 8676, 12700, 827, 10770, 10447, 267, 1519, 519, 7355, 585, 5868, 563, 268, 26579, 12700, 827, 6379, 267, 1519, 2589, 596, 666, 2503, 547, 723, 563, 268, 681, 698, 15634, 30665, 681, 698, 15634, 14711, 5013, 281, 2589, 267, 875, 547, 2057, 621, 267, 9594, 3536, 563, 268, 17897, 531, 2353, 25489, 12700, 827, 12119, 11959, 267, 519, 1114, 2010, 543, 519, 2589, 563, 268, 7348, 2353, 5516, 20929, 16259, 585, 707, 1985, 3643, 609, 938, 3573, 5399, 540, 5516, 20929, 454, 7804, 269, 9410, 595, 3794, 1478, 814, 519, 1739, 476, 272, 20614, 454, 288, 12963, 1014, 568, 513, 4387, 945, 24870, 538, 519, 2834, 1416, 540, 1453, 267, 607, 1134, 607, 519, 5868, 543, 2126, 540, 4576, 538, 1453, 269, 8479, 2550, 616, 1419, 811, 7294, 547, 1521, 1317, 789, 616, 1869, 3395, 543, 3384, 563, 4407, 12963, 2103, 949, 1016, 1606, 2133, 1125, 538, 1808, 3797, 2127, 899, 593, 19223, 267, 6391, 267, 29555, 17443, 267, 543, 606, 15589, 5735, 267, 538, 2489, 267, 12963, 2103, 1683, 2533, 899, 25750, 267, 1072, 11400, 267, 543, 2126, 540, 1455, 22074, 543, 7063, 269, 769, 1840, 267, 12963, 2103, 616, 8036, 547, 6023, 519, 1950, 3929, 543, 8965, 2152, 5185, 676, 1453, 267, 2523, 1282, 23648, 563, 303, 8824, 2103, 7363, 1294, 741, 2550, 689, 4332, 2394, 519, 2085, 540, 476, 1240, 267, 4352, 930, 949, 3858, 547, 1521, 2550, 883, 741, 2038, 476, 736, 338, 267, 952, 16761, 563, 268, 17925, 12128, 454, 4537, 12976, 476, 276, 540, 476, 277, 454, 2171, 723, 1044, 7487, 3220, 269, 3794, 1478, 2094, 649, 6410, 547, 27293, 827, 476, 278, 1296, 3516, 269, 2353, 476, 274, 540, 1250, 1453, 1294, 1864, 269, 3220, 269, 3794, 1478, 2141, 22939, 7850, 942, 538, 519, 4055, 609, 519, 2385, 270, 18345, 543, 646, 6941, 1919, 547, 1141, 596, 2731, 1174, 1864, 269, 634, 1152, 3364, 602, 713, 3003, 5604, 949, 723, 602, 568, 834, 2254, 585, 596, 257, 568, 602, 789, 616, 605, 8686, 3147, 5209, 630, 10472, 729, 711, 606, 3390, 609, 803, 1040, 1358, 616, 20418, 7874, 543, 18164, 267, 799, 568, 1360, 5363, 269, 594, 849, 899, 602, 519, 5604, 568, 1360, 2656, 547, 8430, 513, 834, 338, 1157, 257, 3643, 543, 789, 798, 711, 3100, 547, 936, 1504, 269, 594, 723, 2938, 3220, 269, 17363, 543, 3220, 269, 2558, 3518, 1638, 630, 15290, 1250, 3214, 941, 7210, 543, 3220, 269, 3794, 1478, 729, 711, 2139, 264, 543, 789, 616, 1390, 267, 1932, 269, 3962, 4387, 814, 513, 1945, 1114, 547, 2709, 7209, 30150, 267, 855, 594, 2731, 899, 873, 782, 269, 3220, 269, 17363, 568, 24321, 2969, 609, 3214, 543, 3478, 873, 547, 28111, 269, 6056, 602, 729, 519, 1152, 942, 1250, 1126, 4769, 1405, 3956, 1282, 606, 17333, 24005, 13156, 256, 7102, 3118, 267, 649, 723, 2731, 10150, 713, 5604, 563, 7804, 269, 3794, 1478, 814, 1044, 519, 4387, 585, 1250, 1453, 2094, 1250, 9510, 941, 1507, 269, 594, 1175, 3112, 2161, 2614, 1434, 827, 1864, 256, 594, 666, 2161, 602, 594, 1745, 899, 646, 568, 9488, 1510, 2469, 936, 4580, 609, 4255, 269, 594, 3972, 1010, 5868, 1317, 594, 1745, 899, 646, 568, 12391, 267, 7255, 267, 543, 5963, 6499, 547, 1205, 621, 1318, 269, 15020, 2186, 543, 3318, 543, 594, 2141, 1745, 6899, 609, 519, 1377, 540, 1416, 4607, 269, 3733, 1453, 616, 14038, 1631, 543, 594, 13842, 519, 2219, 540, 2348, 547, 4734, 713, 2259, 269, 2871, 612, 594, 3513, 1175, 1832, 8744, 873, 607, 1279, 607, 789, 3513, 1294, 873, 2336, 30535, 262, 14893, 13815, 630, 1001, 275, 994, 30535, 262, 14893, 6284, 9356, 519, 3017, 513, 1880, 10629, 814, 1500, 538, 519, 2729, 540, 1010, 17017, 2550, 269, 634, 8956, 568, 1655, 15735, 547, 13500, 945, 723, 4607, 2282, 3501, 8464, 267, 607, 20366, 676, 2550, 563, 15253, 6842, 622, 16362, 23779, 630, 1001, 275, 994, 15253, 6842, 622, 16362, 13995, 568, 11292, 547, 13500, 945, 1521, 741, 2550, 609, 519, 25932, 11587, 269, 634, 8956, 568, 11292, 1759, 593, 513, 10629, 781, 2949, 543, 5127, 2515, 6073, 8464, 563, 17206, 2986, 17665, 11233, 454, 7804, 269, 9410, 595, 3794, 1478, 24693, 519, 1739, 6142, 7426, 563, 268, 589, 564, 3534, 14893, 623, 5308, 4083, 454, 268, 589, 564, 3534, 6178, 1155, 8556, 21116, 623, 17269, 454, 268, 7460, 7034, 9338, 623, 17269, 454, 6195, 7034, 9791, 9315, 454, 268, 7460, 7034, 9791, 9315, 623, 17269, 454, 268, 11638, 17839, 623, 17269, 454, 268, 772, 18449, 14893, 9578, 623, 5308, 454, 268, 772, 18449, 13782, 622, 670, 19616, 454, 268, 772, 18449, 13782, 622, 623, 5308, 454, 268, 772, 18449, 18169, 623, 17269, 454, 268, 7348, 676, 19715, 454, 299, 23148, 1299, 19648, 454, 7804, 269, 9410, 595, 3794, 1478, 568, 2147, 547, 519, 1739, 476, 274, 24930, 2282, 27293, 267, 9338, 269, 0, 11767, 531, 8023, 568, 519, 4480, 540, 2347, 3049, 6765, 543, 13315, 1585, 1898, 11950, 267, 5567, 267, 8324, 267, 6886, 543, 9600, 543, 568, 2047, 8704, 883, 519, 7181, 267, 5918, 31829, 636, 267, 14247, 329, 684, 636, 563, 11767, 531, 8023, 3457, 616, 14916, 18611, 547, 1683, 2550, 609, 6484, 563, 2005, 568, 5097, 1031, 585, 2550, 1346, 616, 8572, 547, 3548, 270, 3832, 342, 998, 5023, 543, 15179, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10101, 1317, 519, 3448, 10570, 2527, 540, 3327, 568, 12964, 267, 607, 2016, 676, 519, 13350, 3349, 269, 608, 281, 476, 280, 16720, 546, 262, 295, 5141, 13248, 476, 1911, 6447, 546, 262, 295, 476, 273, 744, 269, 8633, 269, 276, 269, 3245, 713, 2376, 267, 594, 3357, 547, 917, 827, 12719, 2042, 1759, 593, 24855, 640, 1510, 1022, 10539, 269, 14307, 4179, 2517, 4178, 6983, 1335, 545, 944, 2593, 270, 3698, 6873, 8276, 6897, 640, 11258, 267, 5291, 2517, 323, 331, 17085, 871, 24252, 12975, 270, 577, 10755, 268, 6860, 270, 20412, 520, 21867, 267, 4179, 2517, 4178, 21993, 7315, 659, 611, 5519, 3820, 4882, 7220, 11305, 13511, 23995, 919, 6361, 2173, 2660, 7146, 2987, 3410, 12817, 16519, 806, 8276, 4869, 999, 7146, 1606, 30055, 21669, 8276, 6897, 640, 267, 4179, 2517, 4178, 6983, 1335, 974, 600, 29335, 19072, 1961, 27798, 2449, 3562, 5336, 3421, 11258, 267, 4179, 2517, 523, 16652, 322, 13511, 2593, 30819, 690, 328, 270, 10915, 2397, 8276, 6897, 11258, 267, 5291, 2517, 4178, 21993, 550, 322, 13511, 2593, 15828, 3855, 270, 13043, 8276, 6897, 640, 21867, 267, 1546, 24855, 924, 527, 8709, 552, 523, 522, 680, 1601, 532, 581, 516, 5287, 523, 267, 476, 275, 1284, 613, 19804, 5884, 631, 6897, 28059, 630, 306, 1729, 742, 332, 1263, 523, 330, 517, 345, 550, 1674, 264, 1990, 340, 581, 516, 1013, 523, 267, 7162, 501, 31073, 14098, 362, 7162, 483, 2633, 352, 27758, 24691, 23371, 11111, 21999, 21005, 7162, 501, 2633, 352, 23547, 11111, 21999, 18892, 17775, 23517, 630, 24280, 631, 6897, 640, 1070, 2015, 5885, 938, 960, 609, 513, 9295, 547, 15825, 269, 31192, 281, 476, 28091, 280, 268, 14631, 279, 630, 26020, 1070, 946, 519, 24855, 2527, 540, 10878, 5141, 547, 6460, 519, 2527, 538, 10101, 547, 519, 1297, 540, 18253, 267, 4239, 331, 656, 529, 281, 634, 1715, 569, 5494, 2642, 4239, 22455, 4975, 267, 5530, 4855, 338, 29133, 7232, 908, 18771, 2142, 15240, 656, 6053, 25841, 1677, 3680, 8693, 16505, 6658, 267, 16242, 18323, 15873, 281, 7151, 678, 2420, 25280, 15873, 267, 24356, 20134, 23800, 4438, 25990, 267, 630, 6629, 9984, 22977, 6510, 24739, 267, 589, 7849, 4469, 822, 12935, 3281, 895, 267, 13363, 338, 18830, 26590, 11020, 20070, 3753, 267, 3642, 27122, 9861, 13242, 1677, 13724, 32495, 820, 5983, 26511, 267, 8048, 594, 617, 728, 15089, 657, 19298, 1280, 26629, 345, 29090, 6052, 23586, 1656, 853, 1778, 11576, 532, 267, 13535, 2967, 289, 532, 14576, 267, 19129, 21161, 10127, 752, 4669, 267, 631, 1231, 784, 1284, 328, 267, 26637, 1408, 20568, 267, 962, 7776, 932, 340, 267, 9947, 30591, 11809, 784, 1299, 9149, 933, 328, 6931, 267, 1684, 9093, 6145, 6468, 5808, 6145, 6468, 286, 1215, 1082, 10101, 540, 10878, 5141, 786, 581, 2877, 547, 1118, 476, 272, 269, 2004, 22175, 619, 540, 606, 25694, 476, 271, 269, 4335, 631, 3070, 286, 7151, 1966, 281, 24855, 640, 815, 18253, 540, 1151, 1393, 1315, 20990, 540, 3070, 815, 476, 271, 269, 28512, 276, 12387, 1315, 476, 276, 269, 273, 700, 815, 476, 271, 269, 21916, 16328, 277, 1428, 267, 7151, 1966, 281, 1548, 568, 519, 24855, 640, 540, 513, 3070, 5627, 476, 272, 269, 273, 18253, 6970, 5141, 267, 7151, 1966, 281, 476, 23310, 276, 16720, 2608, 630, 272, 700, 1315, 476, 1911, 271, 16720, 264, 815, 476, 273, 269, 3445, 276, 700, 267, 7151, 1966, 281, 24855, 640, 815, 18253, 540, 1151, 1393, 1315, 20990, 540, 3070, 815, 476, 272, 269, 273, 12387, 6970, 5141, 267, 634, 24855, 2527, 540, 10878, 5141, 815, 476, 2420, 269, 4200, 1341, 476, 3374, 269, 3393, 815, 476, 6812, 269, 4510, 575, 267, 631, 3421, 10878, 5141, 815, 476, 276, 269, 273, 575, 10878, 5141, 2608, 630, 272, 12387, 1315, 476, 6812, 269, 4510, 575, 264, 815, 476, 271, 269, 5400, 279, 7176, 12387, 815, 476, 271, 269, 6021, 12387, 269, 634, 1297, 476, 277, 269, 6349, 1535, 476, 9083, 274, 568, 1572, 2997, 690, 611, 549, 779, 1297, 30548, 568, 1419, 2854, 538, 3621, 10035, 547, 8532, 1447, 2230, 269, 2290, 18797, 568, 3160, 547, 12964, 269, 14307, 834, 301, 823, 960, 267, 621, 5280, 803, 513, 2603, 585, 1250, 7998, 981, 256, 25315, 516, 679, 18253, 522, 340, 6824, 544, 7637, 790, 1547, 14307, 834, 1607, 10710, 803, 269, 1635, 14921, 519, 1297, 540, 3727, 5973, 757, 676, 519, 24855, 640, 540, 519, 3679, 267, 519, 2343, 1275, 568, 7229, 269, 898, 568, 1031, 547, 2769, 5834, 540, 513, 1880, 3070, 269, 14168, 585, 1053, 547, 1294, 1114, 1806, 269, 1215, 568, 519, 3070, 24855, 640, 540, 513, 2582, 3693, 7229, 689, 513, 3677, 11140, 286, 9736, 476, 1708, 271, 3163, 12367, 20941, 269, 14307, 834, 763, 2241, 7778, 1118, 621, 1360, 2653, 547, 1174, 269, 1403, 596, 1810, 1405, 917, 519, 1297, 540, 18253, 540, 1151, 1393, 855, 596, 917, 519, 2527, 267, 1376, 676, 4466, 519, 24855, 2527, 540, 519, 1151, 1393, 267, 799, 568, 3160, 547, 782, 540, 519, 24855, 13999, 540, 1142, 3693, 538, 519, 3070, 3773, 1927, 269, 21763, 547, 917, 811, 286, 589, 3727, 568, 3160, 547, 476, 277, 269, 6349, 1535, 476, 9083, 274, 267, 799, 568, 3833, 513, 3787, 3677, 982, 12964, 269, 901, 2376, 4607, 476, 2764, 16499, 517, 10118, 543, 476, 10037, 260, 540, 3988, 945, 20366, 1336, 621, 5363, 267, 15980, 621, 938, 5467, 22190, 28508, 4567, 269, 10261, 26859, 286, 29626, 631, 6897, 640, 609, 631, 3421, 543, 11730, 267, 2715, 257, 20791, 21589, 331, 9899, 257, 10059, 24097, 270, 315, 270, 4178, 9884, 23943, 2593, 315, 270, 30502, 315, 270, 628, 3518, 315, 270, 275, 315, 270, 5325, 315, 270, 8340, 5336, 6897, 640, 28157, 268, 272, 27970, 315, 270, 341, 275, 268, 29121, 29210, 6363, 785, 5336, 6897, 640, 28157, 268, 272, 27970, 14824, 15927, 21589, 331, 9899, 257, 315, 270, 30502, 315, 270, 628, 3518, 315, 270, 275, 315, 270, 5325, 315, 270, 8340, 5336, 6897, 640, 28157, 268, 272, 27970, 315, 270, 4660, 27123, 8517, 277, 8686, 275, 268, 278, 2764, 29210, 6363, 785, 5336, 6897, 640, 28157, 268, 272, 27970, 14824, 20791, 310, 5954, 9899, 29121, 2437, 20791, 3891, 697, 9899, 24833, 2437, 15927, 310, 5954, 9899, 278, 2764, 2437, 15927, 3891, 697, 9899, 276, 5379, 2437, 997, 14819, 9899, 257, 0, 272, 269, 12361, 5295, 3126, 2076, 2858, 542, 692, 1692, 1775, 666, 11753, 713, 676, 1210, 4073, 324, 3126, 692, 842, 689, 476, 271, 547, 476, 273, 343, 16733, 324, 317, 339, 9984, 272, 19422, 339, 4297, 24303, 692, 22474, 343, 692, 273, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 529, 713, 1269, 324, 317, 339, 268, 272, 259, 610, 1269, 324, 3867, 339, 268, 272, 4151, 26042, 274, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 763, 1101, 835, 630, 324, 317, 339, 9984, 272, 692, 275, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 23192, 17397, 676, 15917, 628, 600, 9340, 272, 454, 763, 1101, 835, 630, 324, 317, 339, 9984, 272, 454, 810, 596, 1616, 692, 7445, 6234, 3189, 842, 318, 271, 3867, 273, 343, 14990, 13320, 346, 324, 317, 339, 268, 272, 2410, 339, 348, 349, 19049, 6911, 5575, 3364, 596, 798, 568, 2769, 519, 2076, 8681, 538, 2474, 540, 513, 1379, 3126, 780, 259, 324, 317, 339, 268, 272, 7807, 6234, 3189, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 4153, 13320, 2715, 339, 317, 330, 2410, 330, 256, 10592, 810, 692, 7445, 13320, 2715, 324, 317, 339, 268, 272, 2410, 339, 348, 815, 1422, 6234, 3189, 8999, 3709, 330, 284, 272, 11892, 315, 13727, 4153, 13320, 2715, 339, 3867, 330, 268, 272, 12453, 330, 256, 10592, 852, 1175, 11753, 602, 2165, 585, 2165, 269, 594, 4734, 713, 547, 596, 780, 276, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 763, 2769, 579, 1705, 568, 1175, 585, 630, 324, 317, 339, 264, 543, 711, 585, 630, 324, 317, 339, 9984, 272, 1547, 594, 3893, 519, 4636, 2626, 692, 277, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 23192, 17397, 676, 15917, 628, 600, 9340, 272, 454, 763, 2769, 579, 1705, 568, 1175, 585, 630, 324, 317, 339, 264, 543, 711, 585, 630, 324, 317, 339, 9984, 272, 1547, 594, 3893, 519, 4636, 2626, 454, 323, 573, 596, 4063, 602, 519, 3126, 6238, 693, 1269, 330, 284, 272, 259, 543, 711, 1269, 330, 284, 271, 259, 26042, 278, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 1432, 568, 602, 1611, 2496, 279, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 2691, 579, 723, 552, 317, 339, 910, 272, 269, 1772, 711, 1611, 602, 579, 991, 547, 31939, 330, 476, 272, 689, 1142, 3366, 323, 538, 519, 3126, 2496, 3383, 621, 786, 581, 16733, 343, 18898, 8358, 333, 14386, 910, 476, 272, 815, 16733, 343, 18898, 5991, 256, 4297, 270, 333, 256, 269, 594, 1174, 621, 899, 602, 692, 4517, 950, 579, 1118, 556, 785, 4060, 532, 267, 3973, 602, 338, 1611, 602, 579, 2322, 562, 268, 272, 538, 519, 1583, 773, 585, 1142, 562, 267, 3973, 596, 786, 1376, 689, 562, 284, 272, 543, 711, 562, 284, 271, 692, 280, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 297, 320, 795, 320, 269, 594, 6956, 621, 1100, 324, 269, 1411, 4894, 1175, 835, 689, 670, 1961, 3126, 267, 543, 711, 689, 1142, 3366, 323, 269, 3973, 579, 678, 1318, 267, 543, 1775, 3893, 519, 1318, 2626, 269, 18000, 343, 1360, 1454, 692, 1015, 269, 12361, 1234, 281, 5295, 3126, 2076, 2858, 542, 692, 4692, 579, 2995, 803, 875, 579, 666, 2328, 519, 3126, 4994, 286, 594, 946, 519, 28258, 611, 267, 798, 579, 917, 606, 1776, 1259, 547, 2328, 621, 286, 0, 288, 26894, 15099, 5729, 476, 278, 910, 476, 1708, 271, 9990, 454, 8893, 692, 13706, 519, 1840, 1269, 273, 266, 274, 259, 273, 266, 274, 269, 901, 568, 519, 1482, 607, 1269, 273, 259, 273, 17783, 7132, 1269, 274, 259, 274, 17783, 780, 2171, 666, 1294, 689, 519, 6516, 1657, 602, 1269, 273, 266, 274, 284, 276, 259, 273, 266, 274, 284, 276, 269, 2334, 568, 267, 1269, 273, 259, 273, 17783, 7132, 1269, 274, 259, 274, 17783, 11224, 1269, 276, 259, 276, 17783, 780, 2252, 649, 4941, 547, 1265, 1269, 274, 268, 273, 259, 3953, 649, 1131, 1491, 1269, 273, 259, 273, 17783, 2476, 689, 1269, 274, 259, 274, 17783, 543, 1205, 1269, 272, 259, 272, 2898, 780, 763, 1271, 3364, 950, 4946, 543, 18946, 568, 602, 649, 616, 4946, 543, 18946, 9424, 540, 519, 1482, 2179, 780, 2162, 17006, 8454, 609, 519, 1482, 14009, 692, 22428, 649, 1616, 547, 1265, 4399, 2765, 346, 273, 2410, 278, 23180, 2765, 346, 274, 2410, 278, 4151, 2767, 266, 4391, 269, 3371, 649, 723, 513, 5858, 609, 1079, 18749, 338, 26484, 543, 513, 5858, 609, 1614, 18749, 338, 26484, 780, 30860, 602, 519, 2694, 540, 1142, 5858, 616, 519, 1482, 2450, 269, 1284, 666, 1747, 835, 5858, 593, 1283, 540, 519, 824, 780, 3086, 2947, 18749, 338, 540, 519, 5858, 616, 26484, 538, 269, 1924, 649, 666, 9959, 602, 4399, 2765, 346, 273, 2410, 278, 23180, 2765, 346, 274, 2410, 278, 18098, 2765, 346, 276, 2410, 278, 4151, 2767, 266, 4391, 284, 6872, 267, 610, 1269, 273, 259, 273, 18749, 338, 7132, 1269, 274, 259, 274, 18749, 338, 11224, 1269, 276, 259, 276, 18749, 338, 780, 2691, 519, 32159, 616, 519, 1482, 267, 649, 616, 4946, 9424, 540, 519, 1482, 2179, 269, 1924, 649, 666, 1039, 519, 6746, 2209, 543, 1832, 519, 1482, 14009, 780, 2162, 16265, 24219, 8454, 609, 519, 1482, 14009, 692, 22428, 649, 1616, 547, 1265, 4399, 2765, 346, 274, 2410, 278, 32757, 2765, 346, 273, 2410, 278, 4151, 4391, 273, 278, 269, 4635, 519, 1482, 10580, 607, 1657, 267, 649, 666, 1491, 1079, 18749, 338, 2476, 689, 1614, 18749, 338, 780, 763, 851, 602, 3788, 568, 835, 18749, 540, 519, 5858, 269, 1924, 649, 666, 9959, 602, 4399, 2765, 346, 274, 2410, 278, 32757, 2765, 346, 273, 2410, 278, 18098, 2765, 346, 272, 2410, 278, 4151, 4391, 273, 278, 284, 1704, 267, 610, 1269, 274, 259, 274, 18749, 338, 14263, 1269, 273, 259, 273, 18749, 338, 11224, 1269, 272, 259, 272, 18749, 780, 2691, 519, 32159, 616, 519, 1482, 267, 649, 616, 18946, 9424, 540, 519, 1482, 2179, 269, 1924, 649, 666, 10208, 519, 6746, 2209, 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 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14091, 491, 364, 27338, 425, 482, 364, 29306, 494, 14091, 490, 478, 17432, 506, 10563, 488, 361, 423, 507, 376, 27338, 424, 489, 365, 10563, 501, 364, 424, 480, 364, 454, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14091, 480, 368, 423, 370, 478, 14602, 502, 29030, 488, 373, 32510, 499, 10563, 502, 479, 29306, 511, 14091, 491, 364, 27338, 425, 482, 364, 423, 354, 376, 14091, 367, 369, 32510, 506, 17432, 502, 32629, 498, 10563, 501, 364, 424, 480, 364, 454, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 367, 478, 424, 486, 502, 423, 359, 483, 314, 424, 489, 506, 28990, 495, 14602, 372, 423, 491, 365, 424, 488, 353, 281, 424, 351, 483, 423, 352, 490, 14602, 372, 423, 491, 365, 424, 488, 353, 2639, 11133, 1499, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 11133, 1499, 318, 4820, 815, 2338, 314, 273, 281, 278, 6540, 2745, 3799, 13246, 994, 2745, 3799, 13246, 318, 4820, 2020, 258, 10563, 488, 361, 423, 507, 376, 27338, 424, 489, 365, 14602, 482, 29030, 484, 369, 17432, 368, 424, 482, 506, 10563, 370, 498, 424, 370, 506, 423, 494, 506, 14091, 491, 364, 27338, 425, 482, 364, 32629, 498, 454, 258, 10563, 503, 482, 32510, 482, 14091, 367, 369, 32510, 506, 423, 350, 506, 10563, 366, 502, 423, 355, 361, 423, 494, 502, 424, 500, 368, 10563, 486, 502, 32510, 499, 17432, 502, 32629, 498, 21844, 366, 377, 424, 504, 364, 29306, 494, 423, 493, 482, 3097, 258, 10563, 505, 494, 423, 367, 372, 423, 491, 364, 27338, 425, 482, 364, 32629, 498, 10563, 502, 479, 425, 500, 354, 27338, 10563, 501, 484, 14602, 490, 454, 11133, 1499, 318, 4820, 314, 271, 316, 815, 476, 4968, 454, 2745, 3799, 13246, 994, 2745, 3799, 13246, 318, 4820, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14091, 480, 368, 423, 370, 478, 10563, 504, 498, 424, 484, 490, 14602, 502, 21844, 364, 496, 10563, 486, 502, 32510, 499, 692, 258, 14091, 361, 372, 28990, 494, 29306, 368, 14091, 491, 364, 27338, 425, 482, 364, 424, 503, 478, 21844, 364, 503, 14602, 478, 21844, 366, 377, 424, 504, 364, 14091, 364, 364, 29306, 368, 263, 423, 355, 361, 424, 488, 353, 425, 488, 372, 264, 14602, 502, 29030, 502, 499, 425, 481, 506, 423, 350, 506, 10563, 510, 478, 28990, 354, 423, 494, 502, 423, 358, 364, 454, 258, 21844, 364, 496, 14602, 502, 10563, 486, 502, 32510, 499, 27338, 29030, 501, 486, 424, 504, 358, 423, 494, 502, 424, 356, 478, 10563, 499, 488, 32629, 498, 14091, 491, 364, 27338, 425, 482, 364, 29030, 481, 478, 28990, 483, 28990, 483, 21498, 486, 30319, 563, 916, 326, 815, 834, 15916, 5124, 349, 30882, 916, 326, 314, 271, 316, 815, 1412, 327, 28847, 258, 14091, 364, 502, 423, 358, 368, 267, 10563, 507, 376, 423, 364, 502, 32510, 479, 14602, 372, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14091, 367, 478, 424, 486, 502, 32629, 498, 14091, 480, 368, 423, 370, 478, 10563, 504, 498, 424, 484, 490, 14602, 502, 21844, 364, 496, 14602, 482, 454, 258, 10563, 486, 502, 32510, 499, 17432, 510, 10563, 486, 502, 10563, 508, 486, 424, 488, 369, 21498, 486, 30319, 563, 11133, 1499, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 2745, 6600, 257, 29592, 2433, 2715, 11133, 1499, 348, 5602, 11133, 1499, 314, 273, 316, 815, 476, 274, 269, 274, 454, 2745, 6600, 257, 12898, 2433, 2715, 11133, 1499, 348, 15419, 19638, 19638, 7531, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5228, 4351, 1104, 4351, 692, 343, 272, 815, 1592, 263, 9792, 263, 272, 267, 1556, 4917, 344, 272, 815, 1592, 9852, 777, 10857, 10033, 1239, 2433, 1239, 2608, 4351, 3890, 1341, 476, 274, 267, 1535, 272, 11723, 343, 273, 815, 1592, 263, 9792, 263, 272, 267, 1556, 4917, 344, 273, 815, 1592, 9852, 777, 10857, 10033, 1239, 2433, 1239, 2608, 4351, 3890, 1341, 476, 274, 267, 1535, 272, 11723, 10823, 26644, 3488, 5522, 582, 7151, 17210, 10823, 11859, 16932, 3488, 272, 9625, 476, 1015, 5073, 10823, 269, 29786, 3488, 12690, 1239, 17210, 258, 10563, 501, 361, 423, 509, 361, 14091, 507, 376, 14602, 372, 14602, 482, 476, 17432, 502, 423, 480, 502, 14602, 502, 21844, 371, 372, 423, 508, 502, 425, 498, 482, 29306, 494, 10563, 370, 506, 423, 510, 354, 17432, 510, 10563, 486, 502, 10563, 508, 486, 14602, 490, 692, 258, 10563, 501, 361, 423, 509, 361, 14091, 507, 376, 14602, 372, 14602, 482, 476, 17432, 502, 423, 480, 502, 14602, 502, 21844, 371, 372, 423, 508, 502, 425, 498, 482, 29306, 494, 10563, 370, 506, 423, 510, 354, 17432, 502, 32629, 498, 21844, 366, 377, 424, 504, 364, 454, 258, 21844, 364, 479, 14091, 507, 376, 14602, 372, 14602, 482, 21844, 369, 361, 423, 370, 482, 17432, 502, 422, 372, 364, 10563, 506, 482, 17432, 506, 10828, 10563, 370, 506, 423, 510, 354, 14091, 364, 358, 423, 366, 499, 454, 258, 476, 272, 269, 4729, 476, 17432, 357, 424, 486, 502, 14602, 502, 6003, 14091, 356, 353, 32174, 506, 423, 367, 478, 424, 486, 502, 423, 354, 376, 10563, 482, 353, 32510, 499, 454, 258, 910, 21844, 364, 479, 14091, 507, 376, 14602, 372, 14602, 502, 10563, 510, 506, 423, 359, 358, 454, 10823, 19502, 3287, 272, 267, 586, 272, 267, 1412, 734, 337, 3299, 6003, 8782, 5575, 4578, 5073, 10823, 19502, 3287, 273, 267, 586, 273, 267, 1412, 734, 326, 3299, 6003, 8782, 13553, 4578, 17210, 258, 476, 273, 269, 10828, 476, 17432, 357, 424, 486, 502, 14602, 502, 1327, 14091, 356, 353, 32174, 506, 423, 367, 478, 424, 486, 502, 423, 354, 376, 10563, 482, 353, 32510, 499, 17432, 502, 29306, 361, 454, 258, 10563, 500, 368, 32629, 494, 10563, 506, 482, 424, 373, 502, 29306, 494, 10563, 370, 506, 423, 510, 354, 17432, 510, 21844, 366, 481, 14602, 372, 424, 356, 478, 10563, 356, 478, 32510, 499, 3097, 10823, 269, 5586, 754, 10857, 665, 8782, 12895, 17210, 10823, 20481, 10797, 19638, 692, 7531, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 29306, 494, 14091, 491, 364, 27338, 425, 482, 364, 423, 354, 376, 10563, 370, 498, 32174, 478, 17432, 502, 32629, 498, 14091, 364, 358, 423, 366, 499, 454, 258, 476, 272, 269, 16289, 14091, 358, 498, 424, 484, 490, 423, 497, 506, 423, 354, 376, 10563, 480, 361, 424, 504, 358, 454, 258, 910, 21844, 372, 364, 423, 367, 372, 32510, 479, 424, 506, 376, 423, 350, 506, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 21844, 364, 478, 28990, 354, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 10563, 504, 498, 424, 484, 490, 423, 350, 506, 10563, 370, 498, 32174, 478, 454, 11133, 1499, 815, 1496, 272, 267, 274, 267, 276, 2639, 2745, 3799, 13246, 2020, 258, 2338, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 10563, 504, 498, 424, 484, 490, 423, 350, 506, 476, 278, 10563, 370, 498, 32174, 478, 454, 11133, 1499, 6910, 263, 278, 994, 2745, 3799, 13246, 2020, 258, 2338, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 476, 279, 422, 367, 376, 476, 280, 10563, 370, 498, 32174, 478, 454, 258, 16289, 14091, 358, 498, 424, 484, 490, 423, 497, 506, 32629, 498, 14091, 356, 353, 32174, 506, 423, 367, 478, 424, 486, 502, 423, 350, 506, 476, 272, 32174, 506, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 422, 372, 364, 14091, 499, 490, 423, 361, 372, 29306, 494, 454, 258, 10563, 499, 482, 423, 508, 502, 14602, 502, 16289, 14091, 358, 498, 424, 484, 490, 423, 497, 506, 10563, 489, 353, 425, 500, 487, 14602, 478, 10563, 501, 494, 423, 509, 361, 32174, 478, 14091, 364, 506, 424, 481, 507, 423, 494, 358, 21498, 486, 30319, 563, 258, 2338, 6910, 263, 279, 267, 280, 2020, 258, 10563, 499, 482, 423, 508, 502, 424, 503, 478, 21844, 364, 503, 27338, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 354, 376, 10563, 370, 498, 32174, 478, 17432, 502, 32629, 498, 21844, 366, 377, 424, 504, 364, 476, 17432, 502, 424, 506, 482, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 350, 506, 454, 258, 10563, 370, 498, 32174, 478, 423, 494, 358, 21498, 486, 30319, 563, 11133, 1499, 6910, 8443, 279, 267, 280, 7481, 2745, 3799, 13246, 2020, 11133, 1499, 21014, 4590, 2745, 3799, 13246, 2020, 258, 14091, 489, 353, 424, 486, 502, 32174, 506, 14602, 502, 14091, 491, 364, 27338, 425, 482, 364, 423, 354, 376, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 29306, 494, 10563, 370, 498, 32174, 478, 17432, 502, 32629, 498, 21844, 366, 377, 424, 504, 364, 454, 258, 1341, 10563, 501, 364, 424, 480, 364, 28990, 494, 423, 354, 376, 10563, 480, 361, 424, 504, 358, 17432, 506, 21844, 366, 364, 17432, 358, 10563, 501, 364, 424, 480, 364, 14602, 482, 29030, 503, 506, 424, 504, 358, 17432, 358, 21498, 486, 30319, 563, 11133, 1499, 815, 2338, 1341, 1496, 279, 267, 280, 2639, 2745, 3799, 13246, 2020, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 29030, 488, 373, 32510, 499, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 10563, 506, 482, 424, 373, 502, 423, 350, 506, 21844, 364, 496, 14602, 482, 10563, 370, 498, 32174, 478, 17432, 502, 32629, 498, 21844, 366, 377, 424, 504, 364, 454, 258, 7696, 14091, 358, 498, 424, 484, 490, 423, 497, 506, 423, 354, 376, 10563, 480, 361, 424, 504, 358, 17432, 510, 10563, 486, 502, 10563, 508, 486, 424, 488, 369, 21498, 486, 30319, 563, 258, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 367, 478, 424, 486, 502, 423, 359, 483, 27044, 263, 424, 370, 498, 32174, 478, 17432, 510, 424, 506, 482, 424, 373, 502, 14602, 502, 14602, 372, 423, 491, 365, 424, 488, 353, 267, 10563, 370, 498, 32174, 478, 17432, 510, 21844, 364, 496, 994, 11133, 1499, 27044, 263, 272, 267, 476, 273, 994, 2745, 3799, 13246, 2020, 11133, 1499, 27044, 263, 274, 267, 476, 275, 994, 2745, 3799, 13246, 2020, 11133, 1499, 27044, 263, 276, 267, 476, 277, 994, 2745, 3799, 13246, 2020, 19638, 19638, 19638, 19638, 0, 258, 306, 5357, 28513, 476, 272, 454, 2745, 3488, 19798, 22218, 16774, 910, 273, 17210, 258, 306, 5357, 28513, 476, 273, 454, 320, 284, 6358, 4590, 321, 284, 6358, 4590, 2745, 5416, 17070, 2020, 258, 306, 5357, 28513, 476, 274, 454, 343, 25507, 9272, 15405, 344, 25507, 9272, 15405, 345, 25507, 9272, 15405, 2745, 3287, 11971, 267, 345, 2020, 258, 306, 5357, 28513, 476, 275, 454, 2745, 2891, 4131, 781, 1205, 3323, 15419, 258, 306, 5357, 28513, 476, 276, 454, 338, 6889, 10907, 611, 1613, 4840, 322, 6847, 6889, 23911, 4840, 325, 4315, 284, 4335, 271, 454, 258, 2026, 789, 1767, 547, 1820, 1210, 1747, 6868, 454, 2745, 3488, 260, 338, 262, 4939, 263, 338, 4917, 2745, 3488, 260, 338, 262, 4939, 263, 322, 6847, 4917, 2745, 3488, 260, 323, 262, 4939, 263, 325, 4315, 11723, 258, 306, 5357, 28513, 476, 277, 454, 31709, 25507, 9272, 3488, 11767, 8953, 281, 29125, 7032, 284, 274, 269, 1691, 454, 19327, 284, 7032, 265, 31709, 265, 31709, 454, 2745, 3488, 763, 1858, 540, 5858, 281, 3299, 19327, 9239, 0, 3698, 1079, 11764, 25225, 267, 3077, 2187, 825, 8173, 825, 2433, 6943, 15358, 281, 5903, 27776, 2639, 825, 2433, 6943, 3077, 281, 703, 454, 825, 2433, 337, 6943, 281, 5903, 27776, 2639, 825, 8173, 825, 759, 17342, 2639, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 6352, 25225, 15892, 2018, 952, 630, 333, 4548, 5157, 27994, 333, 4548, 14728, 8079, 2525, 339, 13759, 912, 3546, 759, 6910, 9217, 994, 3546, 759, 6910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9258, 263, 560, 2187, 825, 1948, 2659, 8943, 3371, 454, 825, 1007, 318, 2993, 815, 588, 21858, 4590, 825, 1007, 23919, 815, 1412, 7055, 825, 585, 2262, 538, 20328, 28956, 318, 2993, 2187, 1038, 1007, 23919, 815, 1007, 23919, 1341, 1412, 1412, 1341, 2262, 454, 825, 2132, 1007, 23919, 14714, 8692, 4590, 0, 3698, 1480, 14729, 8986, 6831, 520, 14729, 8986, 5091, 690, 14729, 8986, 263, 16058, 14729, 8986, 2187, 825, 952, 263, 16058, 14729, 8986, 2652, 476, 272, 2187, 1038, 2132, 1496, 272, 267, 1428, 267, 1428, 2639, 825, 8640, 263, 16058, 14729, 8986, 2652, 476, 273, 2187, 1038, 2132, 1496, 273, 267, 2190, 267, 2190, 2639, 825, 3116, 912, 1038, 1007, 815, 11713, 1038, 1007, 6910, 263, 16058, 14729, 8986, 994, 1038, 3032, 14729, 8986, 815, 476, 2190, 1341, 630, 16058, 14729, 8986, 910, 476, 273, 12684, 275, 454, 1038, 1007, 6910, 6262, 520, 14729, 8986, 994, 1038, 2915, 14729, 8986, 815, 476, 2190, 1341, 630, 16058, 14729, 8986, 910, 476, 273, 12684, 276, 454, 1038, 1007, 6910, 5560, 690, 14729, 8986, 994, 1038, 2132, 1007, 454, 0, 5814, 27368, 454, 5228, 7470, 1104, 25373, 21652, 2401, 454, 5228, 24626, 1104, 14181, 18602, 22069, 591, 454, 5228, 6345, 1104, 26761, 11328, 13905, 7531, 258, 20223, 27413, 1299, 25159, 454, 6853, 18524, 269, 8181, 4590, 20062, 25492, 815, 630, 14838, 267, 476, 14838, 267, 476, 14838, 2020, 306, 7838, 293, 19781, 318, 4047, 20846, 815, 476, 278, 1789, 454, 306, 7838, 293, 19781, 318, 310, 2839, 8025, 815, 476, 31318, 454, 306, 7838, 293, 19781, 318, 10485, 30438, 815, 630, 306, 7838, 293, 19781, 318, 310, 2839, 8025, 267, 590, 7838, 293, 19781, 318, 4047, 20846, 2020, 258, 26787, 519, 590, 7838, 293, 19781, 1299, 5990, 667, 9128, 288, 17109, 16998, 2839, 454, 338, 16577, 815, 27368, 269, 5891, 15630, 8548, 1712, 22829, 7838, 293, 19781, 318, 10485, 30438, 994, 6853, 18524, 269, 5891, 15630, 6831, 320, 1632, 2891, 306, 644, 18602, 5602, 338, 16577, 8807, 650, 263, 20062, 25492, 2020, 28186, 815, 25373, 21652, 2401, 4590, 28186, 15630, 318, 29239, 14682, 5090, 10797, 16651, 815, 26761, 11328, 13905, 10797, 258, 17553, 519, 3355, 2990, 585, 519, 6345, 538, 519, 1647, 540, 519, 7470, 547, 1847, 689, 563, 9690, 13448, 267, 1699, 14729, 815, 476, 275, 267, 476, 275, 454, 28186, 269, 26303, 14682, 5090, 4433, 16577, 267, 1699, 13448, 267, 1699, 14729, 2020, 258, 634, 1292, 1982, 8520, 563, 18524, 318, 517, 815, 6936, 454, 22018, 815, 27368, 28333, 269, 5141, 1442, 10797, 6112, 3014, 318, 517, 912, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 281, 476, 1948, 952, 519, 6345, 30390, 2673, 563, 2018, 3014, 318, 517, 815, 8771, 692, 1038, 8640, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 281, 476, 1948, 952, 519, 6345, 16125, 519, 13691, 563, 2018, 2627, 8807, 650, 263, 20062, 25492, 994, 2018, 1699, 13448, 267, 1699, 14729, 267, 1871, 815, 6345, 6230, 913, 618, 16216, 1203, 267, 1699, 13448, 267, 1699, 14729, 994, 2018, 8737, 815, 7470, 269, 26303, 14682, 5090, 28767, 4433, 16577, 267, 1699, 13448, 267, 1699, 14729, 267, 1871, 994, 2018, 7470, 269, 26303, 14682, 5090, 4433, 16577, 267, 1699, 13448, 267, 1699, 14729, 994, 2018, 952, 8737, 281, 476, 1948, 952, 519, 6345, 8737, 519, 521, 644, 18602, 11015, 563, 3546, 6345, 269, 5891, 318, 754, 18524, 4433, 16577, 2020, 1038, 8640, 2680, 269, 6943, 2652, 27368, 8160, 302, 27516, 289, 7473, 307, 31631, 32052, 281, 476, 1948, 952, 519, 6345, 30390, 593, 519, 16181, 563, 2018, 4945, 815, 27368, 6230, 1787, 10947, 29223, 10797, 2018, 952, 476, 7785, 10922, 4945, 314, 271, 316, 10922, 476, 16020, 543, 476, 17734, 10922, 4945, 314, 272, 316, 10922, 476, 20065, 281, 476, 1948, 952, 519, 6345, 4945, 539, 593, 519, 16534, 7735, 563, 3546, 24626, 815, 14181, 18602, 22069, 591, 4590, 3546, 952, 24626, 4732, 9876, 14116, 5090, 267, 2627, 267, 476, 271, 267, 476, 271, 2187, 7386, 7470, 269, 26303, 14682, 5090, 4433, 16577, 267, 1699, 13448, 267, 1699, 14729, 994, 7386, 6345, 269, 5891, 318, 754, 18524, 4433, 16577, 267, 476, 272, 2020, 3546, 3116, 912, 7386, 6345, 269, 5891, 318, 754, 18524, 4433, 16577, 267, 476, 271, 2020, 2018, 8640, 476, 7785, 10922, 4945, 314, 271, 316, 10922, 476, 16020, 543, 476, 29496, 10922, 4945, 314, 272, 316, 10922, 476, 14596, 281, 476, 1948, 952, 519, 6345, 4945, 539, 593, 519, 13068, 7735, 563, 3546, 7470, 269, 27234, 14682, 5090, 4433, 16577, 2020, 2018, 8640, 476, 7785, 10922, 4945, 314, 271, 316, 10922, 476, 16020, 543, 476, 27944, 10922, 4945, 314, 272, 316, 10922, 476, 31816, 912, 3546, 2627, 8807, 650, 263, 20062, 25492, 994, 3546, 7470, 815, 25373, 21652, 2401, 4590, 3546, 7470, 15630, 318, 29239, 14682, 5090, 4590, 3546, 1699, 13448, 267, 1699, 14729, 815, 476, 275, 267, 476, 275, 454, 3546, 7470, 269, 26303, 14682, 5090, 4433, 16577, 267, 1699, 13448, 267, 1699, 14729, 2020, 825, 27368, 269, 5891, 269, 4148, 760, 4590, 825, 9219, 6745, 1157, 263, 1789, 2020, 6853, 18524, 269, 10181, 4590, 0, 19399, 19399, 7462, 1477, 258, 853, 2803, 15737, 1031, 538, 3377, 13070, 686, 318, 16942, 18258, 609, 741, 24290, 8587, 1948, 1477, 258, 18538, 269, 898, 568, 2141, 1434, 2259, 547, 4558, 513, 10957, 19474, 825, 1948, 1477, 258, 3079, 540, 5329, 707, 10750, 1257, 10957, 538, 513, 1982, 269, 1363, 1948, 1477, 19399, 19399, 7462, 5897, 258, 1104, 1477, 5814, 556, 1477, 5228, 25563, 8807, 1716, 564, 1104, 22513, 564, 5897, 258, 5352, 513, 1883, 543, 4688, 621, 607, 513, 3758, 1477, 4486, 815, 22513, 564, 269, 2102, 4733, 318, 4486, 14052, 2745, 2891, 4486, 6383, 10590, 3418, 5976, 1930, 2891, 4486, 269, 4486, 2580, 834, 342, 321, 8442, 607, 535, 6769, 825, 535, 22182, 31107, 10142, 3698, 1205, 318, 16942, 28399, 825, 5727, 1477, 1038, 1306, 802, 3593, 547, 3403, 741, 4757, 267, 10957, 543, 18579, 4757, 2232, 23228, 825, 5727, 1477, 825, 6494, 10387, 841, 815, 3403, 19304, 2891, 11767, 707, 4757, 2232, 281, 834, 17903, 825, 10957, 815, 3403, 19304, 2891, 11767, 707, 4757, 10957, 281, 834, 17903, 825, 973, 10079, 10387, 841, 815, 1496, 15947, 825, 3606, 815, 834, 29177, 825, 1247, 6936, 6769, 1038, 973, 10079, 10387, 841, 6910, 9272, 19304, 2891, 11767, 519, 18579, 4757, 2232, 281, 834, 4297, 3418, 1038, 3606, 815, 3403, 19304, 2891, 25898, 596, 899, 547, 1039, 1776, 18579, 286, 630, 344, 14672, 2567, 834, 17903, 1038, 952, 3606, 2652, 834, 333, 257, 6769, 2018, 2736, 5897, 825, 2638, 318, 16942, 4433, 754, 10387, 841, 267, 973, 10079, 10387, 841, 3418, 825, 17278, 318, 16942, 4433, 754, 10387, 841, 267, 10957, 267, 973, 10079, 10387, 841, 3418, 5897, 3698, 2638, 318, 16942, 4433, 754, 10387, 841, 267, 973, 10079, 10387, 841, 8029, 825, 5727, 1477, 1038, 4258, 4242, 602, 519, 15737, 519, 3593, 814, 9411, 616, 575, 21166, 6589, 1477, 1038, 1488, 7714, 6769, 2018, 6494, 10387, 841, 281, 513, 5569, 5627, 519, 3755, 575, 21166, 2232, 1477, 2018, 973, 10079, 10387, 841, 281, 513, 5569, 5627, 519, 23700, 575, 21166, 2232, 1477, 1038, 16849, 6769, 2018, 950, 519, 3593, 814, 9411, 4570, 4757, 9607, 1477, 825, 5727, 1477, 825, 1948, 11974, 30699, 4757, 568, 7711, 326, 21166, 2593, 543, 18579, 15737, 616, 4570, 21506, 825, 1036, 516, 343, 815, 1412, 317, 314, 320, 22271, 271, 268, 280, 27994, 24560, 11519, 316, 286, 314, 320, 22271, 271, 268, 280, 27994, 314, 287, 316, 315, 342, 266, 314, 20426, 315, 342, 266, 259, 262, 21506, 825, 952, 7003, 4433, 754, 10387, 841, 264, 3436, 476, 1015, 6769, 1038, 952, 6494, 10387, 841, 15631, 1015, 281, 316, 2652, 834, 287, 326, 21166, 2593, 257, 6769, 2018, 585, 4757, 538, 973, 10079, 10387, 841, 6769, 3546, 952, 7003, 263, 16942, 264, 13843, 476, 271, 543, 556, 269, 14142, 263, 2958, 516, 343, 267, 4757, 8029, 7386, 1820, 263, 16942, 267, 834, 910, 7608, 8442, 567, 1477, 3546, 3116, 6769, 7386, 1820, 2891, 1103, 20777, 4757, 281, 14307, 4757, 3418, 2018, 2132, 1477, 1038, 3116, 6769, 2018, 1820, 2891, 7312, 4757, 1590, 581, 513, 7711, 326, 21166, 2593, 2272, 10590, 3418, 825, 3116, 6769, 1038, 1820, 2891, 11767, 513, 4570, 4757, 2232, 10590, 3418, 825, 1205, 318, 16942, 14052, 5897, 3698, 17278, 318, 16942, 4433, 754, 10387, 841, 267, 10957, 267, 973, 10079, 10387, 841, 8029, 825, 5727, 1477, 1038, 670, 10449, 519, 10957, 1210, 519, 1883, 543, 17990, 621, 547, 513, 1257, 1477, 1038, 3758, 609, 519, 1079, 15737, 23228, 1038, 1488, 7714, 6769, 2018, 6494, 10387, 841, 281, 513, 5569, 5627, 519, 3755, 575, 21166, 2232, 1477, 2018, 973, 10079, 10387, 841, 281, 513, 5569, 5627, 519, 23700, 575, 21166, 2232, 1477, 2018, 10957, 281, 513, 5569, 5627, 519, 3755, 575, 21166, 10957, 1477, 825, 5727, 1477, 825, 1948, 17838, 4757, 12673, 883, 25466, 1477, 825, 6494, 10387, 841, 815, 25466, 4433, 754, 10387, 841, 1341, 27719, 333, 2580, 17683, 6889, 583, 325, 279, 14744, 825, 973, 335, 10387, 841, 815, 834, 29177, 825, 585, 4757, 538, 973, 10079, 10387, 841, 6769, 1038, 973, 335, 10387, 841, 6834, 630, 1598, 263, 16942, 264, 1341, 27719, 333, 14744, 825, 973, 10079, 10387, 841, 815, 25466, 263, 13440, 335, 10387, 841, 267, 17683, 6889, 583, 325, 279, 14744, 825, 10957, 815, 25466, 9638, 817, 5320, 267, 17683, 6889, 583, 325, 279, 257, 10142, 825, 1948, 814, 1127, 519, 10957, 609, 519, 6383, 1883, 1477, 825, 535, 815, 22513, 564, 31107, 3418, 825, 24290, 815, 535, 269, 16780, 7973, 9638, 817, 5320, 3418, 825, 1820, 2891, 10139, 5320, 24290, 10590, 10142, 825, 1948, 11339, 814, 1117, 10957, 543, 4757, 1592, 547, 1257, 3758, 1477, 825, 609, 1930, 2891, 10139, 5320, 17902, 2580, 834, 342, 257, 2567, 1780, 1477, 825, 609, 1930, 2891, 10139, 5320, 17902, 2580, 834, 629, 8442, 607, 535, 6769, 1038, 535, 22182, 4433, 754, 10387, 841, 3418, 1038, 535, 22182, 263, 13440, 10079, 10387, 841, 3418, 1038, 535, 22182, 263, 16780, 7973, 539, 3418, 1363, 5897, 1326, 318, 16942, 14052, 2745, 2891, 18208, 1022, 1883, 547, 1439, 10590, 3418, 6358, 14052, 0, 3240, 27133, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 267, 274, 267, 273, 8679, 3240, 27133, 273, 815, 2715, 276, 267, 277, 267, 278, 267, 279, 8679, 2745, 30044, 27133, 994, 3240, 27133, 269, 4134, 15258, 263, 272, 994, 2745, 30044, 27133, 994, 2745, 2891, 9339, 268, 5602, 2745, 30044, 27133, 347, 3240, 27133, 273, 264, 258, 3697, 9769, 454, 0, 338, 815, 476, 271, 454, 330, 815, 6936, 454, 6112, 521, 10922, 476, 1911, 912, 453, 338, 6834, 703, 9272, 15405, 453, 330, 815, 711, 737, 454, 604, 737, 912, 13537, 3488, 21715, 2207, 5073, 12828, 912, 13537, 3488, 309, 3201, 28718, 20911, 10807, 0, 258, 476, 272, 269, 567, 4586, 3698, 568, 318, 18905, 5416, 2187, 825, 585, 1775, 538, 2039, 263, 273, 267, 703, 5416, 2878, 476, 271, 269, 276, 11924, 272, 2187, 1038, 952, 513, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 258, 476, 273, 269, 567, 4586, 3698, 2547, 5091, 643, 5416, 267, 536, 815, 476, 273, 2187, 825, 585, 1775, 538, 2039, 6357, 267, 703, 5416, 2878, 476, 271, 269, 276, 11924, 272, 2187, 1038, 952, 513, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 1775, 454, 825, 2132, 513, 692, 258, 476, 274, 269, 567, 4586, 3698, 4102, 5091, 643, 5416, 2187, 825, 546, 815, 2547, 5091, 643, 5416, 994, 825, 952, 546, 11203, 513, 912, 1038, 2132, 513, 12262, 546, 454, 825, 2132, 513, 692, 258, 476, 275, 269, 672, 630, 1916, 3698, 3815, 5416, 2187, 825, 535, 815, 11713, 825, 737, 815, 476, 271, 454, 825, 546, 815, 476, 273, 454, 825, 1247, 513, 3436, 476, 272, 912, 1038, 546, 815, 2547, 5091, 643, 5416, 267, 546, 994, 1038, 535, 6834, 1496, 323, 2639, 1038, 513, 12262, 284, 546, 454, 825, 2132, 535, 692, 258, 476, 276, 269, 476, 4586, 3698, 575, 7251, 5416, 267, 536, 2187, 825, 1247, 536, 11203, 476, 271, 912, 1038, 513, 267, 536, 815, 536, 267, 513, 4939, 536, 454, 825, 2132, 513, 692, 258, 476, 277, 269, 567, 4586, 3698, 561, 9492, 5416, 267, 536, 2187, 825, 2132, 513, 12262, 575, 7251, 5416, 267, 536, 264, 2608, 536, 692, 258, 476, 278, 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 ]
[ 646, 798, 621, 2496, 2162, 5269, 476, 4391, 692, 7462, 8609, 281, 476, 273, 543, 476, 274, 7420, 5426, 1384, 19177, 11435, 2270, 513, 1804, 1297, 540, 476, 272, 338, 267, 476, 274, 338, 267, 476, 276, 338, 543, 476, 278, 338, 269, 17292, 1022, 4557, 2338, 689, 519, 11435, 1657, 865, 602, 741, 2698, 568, 476, 4391, 269, 0, 258, 3657, 519, 8638, 16883, 2496, 11900, 18944, 630, 5976, 519, 7778, 21687, 689, 264, 713, 692, 1012, 17461, 692, 306, 599, 596, 723, 1079, 8638, 589, 815, 1496, 320, 318, 272, 267, 513, 318, 273, 267, 10371, 1421, 513, 5332, 316, 543, 645, 815, 1496, 321, 318, 272, 267, 536, 318, 273, 267, 10371, 1421, 536, 5332, 316, 540, 9981, 269, 1284, 2161, 589, 568, 5732, 1673, 643, 14548, 676, 645, 952, 972, 568, 513, 32089, 540, 645, 602, 2306, 513, 10983, 16883, 676, 536, 10983, 585, 782, 1775, 269, 634, 1966, 568, 1287, 281, 568, 621, 2009, 547, 556, 4650, 630, 328, 4318, 269, 7989, 1393, 264, 645, 865, 602, 513, 10983, 568, 16883, 676, 536, 10983, 585, 782, 1775, 286, 1280, 1383, 267, 952, 596, 723, 692, 288, 815, 1496, 277, 267, 476, 1321, 267, 476, 279, 2639, 289, 815, 1496, 274, 267, 476, 275, 267, 476, 277, 6540, 454, 10190, 519, 2626, 1131, 581, 6936, 267, 607, 645, 666, 581, 556, 23912, 547, 581, 645, 815, 1496, 274, 267, 476, 277, 267, 476, 275, 316, 543, 1287, 649, 1131, 723, 602, 513, 318, 272, 1315, 536, 318, 272, 815, 476, 273, 267, 513, 318, 273, 1315, 536, 318, 273, 815, 476, 273, 267, 543, 513, 318, 274, 1315, 536, 318, 274, 815, 476, 273, 267, 782, 540, 799, 616, 9981, 267, 865, 589, 568, 5732, 1673, 643, 14548, 676, 645, 780, 2026, 606, 1383, 799, 1058, 3977, 8771, 267, 649, 1223, 723, 1384, 288, 815, 1496, 1015, 267, 476, 1321, 267, 476, 277, 267, 476, 276, 267, 476, 2641, 267, 476, 1839, 2639, 289, 815, 1496, 273, 267, 476, 278, 267, 476, 276, 267, 476, 274, 267, 476, 1321, 267, 476, 274, 6540, 454, 763, 2601, 713, 568, 8771, 568, 602, 649, 666, 1405, 556, 4650, 645, 607, 476, 1839, 543, 476, 276, 616, 538, 589, 267, 855, 519, 1152, 27708, 538, 645, 1131, 581, 476, 276, 267, 865, 835, 1131, 581, 2451, 856, 780, 7312, 4305, 568, 267, 15069, 267, 547, 3313, 2436, 1079, 8638, 630, 326, 1508, 607, 3403, 264, 616, 5732, 16883, 269, 1411, 949, 1491, 3403, 538, 1022, 7608, 6073, 267, 607, 609, 3977, 780, 291, 340, 27289, 538, 519, 8638, 616, 513, 7872, 267, 543, 519, 1152, 2450, 9993, 593, 519, 9981, 616, 707, 1893, 269, 2353, 9981, 538, 1312, 8638, 786, 581, 3677, 982, 476, 271, 267, 543, 1312, 8638, 786, 581, 540, 3160, 2450, 780, 2026, 609, 782, 521, 519, 3977, 2418, 1590, 581, 476, 273, 3982, 2418, 602, 2099, 3020, 543, 7301, 780, 1607, 568, 513, 865, 20125, 3009, 17993, 2439, 1012, 4530, 2665, 692, 19152, 267, 3403, 18092, 3977, 692, 314, 277, 267, 476, 1321, 267, 476, 279, 3910, 1496, 274, 267, 476, 275, 267, 476, 277, 316, 18092, 6936, 454, 314, 1015, 267, 476, 276, 267, 476, 278, 3910, 1496, 272, 267, 476, 276, 267, 476, 1911, 316, 18092, 8771, 454, 314, 1691, 267, 476, 1911, 7871, 267, 476, 277, 267, 476, 280, 316, 1496, 272, 267, 272, 267, 272, 267, 272, 316, 18092, 6936, 454, 314, 1321, 316, 1496, 278, 316, 18092, 8771, 454, 314, 271, 267, 476, 277, 267, 476, 866, 267, 476, 272, 267, 476, 274, 316, 1496, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 316, 18092, 3768, 18249, 692, 1892, 7711, 4537, 698, 4445, 689, 519, 2243, 281, 1312, 8638, 786, 581, 540, 3160, 2450, 1107, 1109, 322, 1515, 323, 11777, 17518, 320, 1695, 532, 4119, 476, 2767, 1412, 1704, 693, 476, 736, 281, 1626, 454, 1892, 4208, 568, 519, 2063, 1449, 2013, 3768, 18249, 286, 1107, 1109, 291, 12447, 4119, 476, 2767, 1412, 1704, 693, 476, 2641, 281, 3066, 454, 1892, 7711, 291, 12447, 835, 540, 519, 8638, 814, 513, 476, 271, 538, 621, 1107, 1109, 322, 1515, 323, 11777, 17518, 320, 1695, 532, 4119, 476, 2767, 1412, 1704, 693, 476, 2641, 281, 4029, 454, 1892, 9406, 269, 630, 8253, 2386, 1946, 267, 476, 271, 568, 16883, 676, 782, 9981, 4700, 1684, 519, 1079, 17016, 723, 547, 581, 959, 583, 1506, 543, 535, 1023, 344, 267, 610, 1175, 5812, 286, 1107, 1109, 291, 12447, 4119, 476, 2767, 1412, 1704, 693, 476, 2641, 281, 6078, 454, 1892, 7711, 291, 12447, 476, 272, 264, 621, 781, 538, 2013, 476, 271, 568, 538, 519, 2034, 1592, 267, 547, 2057, 476, 271, 6498, 6959, 476, 273, 264, 1175, 5812, 1107, 1109, 322, 1515, 323, 11777, 17518, 320, 1695, 532, 4119, 476, 2767, 1412, 1704, 693, 476, 2641, 281, 4649, 692, 258, 808, 11481, 267, 476, 276, 25466, 692, 385, 496, 256, 260, 21681, 482, 17554, 510, 7531, 14303, 5281, 476, 271, 585, 6936, 267, 476, 272, 585, 8771, 780, 2521, 621, 2228, 2439, 2162, 1215, 621, 1568, 692, 385, 496, 256, 260, 21681, 482, 17554, 510, 476, 6301, 3095, 269, 14803, 3701, 281, 589, 267, 645, 630, 541, 7590, 2020, 385, 496, 256, 672, 2637, 4733, 782, 32545, 540, 589, 563, 260, 825, 6875, 1142, 32089, 1110, 25222, 645, 630, 324, 2211, 30150, 1916, 21681, 482, 567, 22417, 782, 4611, 14249, 689, 9352, 547, 8870, 563, 1607, 11729, 476, 271, 476, 858, 519, 32089, 568, 16883, 676, 645, 563, 17554, 510, 476, 2353, 282, 6556, 476, 271, 952, 519, 1267, 3568, 513, 476, 271, 267, 476, 272, 6382, 563, 692, 258, 670, 23677, 267, 476, 10602, 476, 276, 25466, 692, 306, 8491, 476, 273, 25466, 7064, 547, 7711, 313, 3258, 321, 692, 16123, 376, 16123, 366, 587, 350, 22935, 303, 7531, 307, 1389, 2415, 757, 538, 9258, 1931, 543, 7024, 476, 272, 585, 6936, 543, 476, 271, 585, 8771, 780, 2521, 621, 2228, 2439, 2162, 19247, 692, 825, 623, 672, 4534, 18983, 20706, 540, 519, 1101, 4661, 454, 587, 350, 11434, 4534, 12213, 23407, 630, 19066, 2478, 1599, 264, 609, 2034, 4661, 454, 22935, 8587, 4534, 567, 6496, 1535, 7941, 586, 454, 16123, 366, 1038, 4534, 5192, 519, 5021, 540, 602, 1592, 267, 7024, 1496, 272, 267, 272, 1862, 272, 316, 952, 1459, 454, 16123, 376, 1363, 4534, 5192, 519, 5934, 540, 602, 1592, 267, 786, 2132, 476, 271, 8259, 519, 1592, 568, 782, 476, 272, 338, 692, 1892, 966, 394, 510, 300, 345, 22935, 303, 1058, 960, 585, 476, 277, 25466, 269, 1107, 1109, 313, 3258, 321, 4119, 476, 2767, 1412, 1704, 693, 476, 866, 281, 5379, 454, 1892, 3657, 1346, 2808, 834, 18314, 3982, 2418, 22172, 1107, 1109, 613, 24499, 767, 4119, 476, 2767, 1412, 1704, 693, 476, 866, 281, 5392, 454, 1892, 7937, 267, 543, 631, 345, 666, 581, 722, 350, 269, 1107, 1109, 313, 3258, 321, 4119, 476, 2767, 1412, 1704, 693, 476, 736, 281, 6187, 454, 1892, 594, 1589, 596, 991, 19065, 376, 16123, 366, 3079, 540, 19065, 366, 16123, 376, 269, 715, 823, 2856, 538, 1022, 2013, 256, 1107, 1109, 313, 3258, 321, 4119, 476, 2767, 1412, 1704, 693, 476, 736, 281, 2190, 692, 258, 476, 4962, 5723, 272, 292, 267, 476, 278, 25466, 692, 19152, 281, 3217, 8638, 645, 543, 589, 630, 516, 951, 539, 1931, 994, 20479, 281, 476, 272, 950, 3020, 267, 476, 271, 6382, 692, 385, 497, 341, 296, 344, 383, 500, 15014, 7531, 2521, 621, 2228, 2439, 7336, 534, 725, 1384, 385, 497, 341, 296, 344, 383, 500, 15014, 825, 13159, 1982, 454, 385, 497, 16875, 623, 16640, 782, 32545, 540, 645, 607, 513, 1592, 454, 341, 1363, 1280, 1142, 32089, 454, 296, 1038, 623, 16640, 2063, 3403, 593, 1283, 540, 519, 10518, 454, 344, 383, 500, 8587, 6156, 525, 513, 4939, 536, 2652, 476, 271, 585, 1142, 3693, 540, 589, 543, 645, 454, 303, 672, 623, 16640, 519, 2698, 1587, 540, 519, 1592, 454, 300, 825, 623, 16640, 519, 4102, 1297, 593, 1283, 540, 519, 10518, 7531, 258, 13878, 299, 267, 476, 9262, 476, 277, 25466, 692, 272, 31632, 1055, 1210, 606, 2856, 689, 667, 12447, 262, 808, 11481, 2626, 692, 312, 287, 315, 256, 320, 288, 7531, 19152, 338, 616, 645, 267, 1287, 589, 269, 19243, 568, 476, 271, 952, 16883, 610, 476, 272, 952, 711, 780, 2521, 621, 2228, 2439, 2162, 19247, 692, 312, 287, 672, 4939, 1955, 14032, 3403, 281, 4737, 6152, 645, 269, 19336, 540, 782, 32545, 267, 1142, 593, 513, 4737, 454, 315, 8587, 4939, 1955, 14032, 3403, 281, 4737, 6152, 589, 269, 3525, 25222, 267, 3693, 30150, 609, 13739, 269, 717, 1161, 454, 260, 513, 5119, 538, 799, 1142, 4737, 3568, 519, 1110, 25625, 540, 1142, 32089, 540, 645, 454, 260, 609, 2463, 547, 589, 454, 256, 320, 672, 4939, 6936, 585, 9343, 602, 2270, 693, 2547, 513, 1875, 14706, 1871, 454, 288, 8587, 4939, 6936, 952, 782, 2418, 616, 3020, 269, 1955, 14032, 4159, 7531, 258, 4223, 11490, 320, 267, 476, 7367, 25466, 692, 290, 1162, 314, 303, 1069, 20706, 287, 258, 273, 28872, 318, 270, 282, 4517, 287, 287, 18204, 518, 304, 270, 287, 263, 258, 270, 335, 13580, 256, 284, 24001, 261, 7531, 628, 3471, 7711, 978, 523, 529, 529, 585, 910, 276, 25466, 692, 1892, 27418, 568, 3622, 10156, 281, 27418, 314, 303, 1069, 20706, 287, 258, 273, 28872, 318, 270, 282, 4517, 287, 287, 18204, 518, 304, 270, 287, 263, 258, 270, 335, 13580, 256, 284, 24001, 261, 1107, 1109, 978, 523, 529, 529, 4119, 476, 2767, 1412, 1704, 693, 476, 736, 281, 2412, 692, 258, 10084, 29441, 630, 2464, 277, 1070, 476, 6858, 476, 8287, 25466, 692, 14303, 5281, 513, 1630, 18978, 780, 325, 284, 8443, 343, 28011, 320, 3910, 321, 6661, 285, 256, 343, 1475, 321, 4732, 727, 9230, 344, 267, 328, 6661, 285, 343, 260, 344, 286, 271, 281, 325, 5416, 22698, 17342, 1862, 321, 3910, 322, 5157, 24557, 272, 270, 271, 264, 9239, 2162, 4530, 2665, 692, 325, 284, 8443, 343, 28011, 320, 3910, 321, 6661, 285, 256, 343, 1475, 321, 4732, 727, 9230, 344, 267, 328, 6661, 285, 343, 260, 344, 286, 271, 281, 325, 5416, 22698, 17342, 1862, 321, 3910, 322, 5157, 24557, 272, 270, 271, 11723, 935, 18030, 28802, 6600, 8443, 277, 267, 476, 1321, 267, 476, 279, 25662, 274, 267, 476, 275, 267, 476, 277, 316, 4297, 1038, 12262, 3020, 454, 935, 18030, 28802, 6600, 8443, 1015, 267, 476, 276, 267, 476, 278, 25662, 272, 267, 476, 276, 267, 476, 1911, 316, 4297, 8587, 12262, 7301, 454, 935, 18030, 28802, 6600, 8443, 1691, 267, 476, 1911, 7871, 267, 476, 277, 267, 476, 280, 25662, 272, 267, 272, 267, 272, 267, 272, 316, 4297, 12262, 3020, 454, 935, 18030, 28802, 6600, 8443, 1321, 25662, 278, 316, 4297, 7386, 12262, 7301, 692, 5814, 4578, 269, 8266, 454, 325, 513, 284, 1415, 9230, 283, 272, 1040, 8999, 269, 32502, 4415, 1121, 513, 1040, 11279, 20706, 7531, 2521, 621, 2228, 2439, 306, 8491, 476, 272, 31632, 7064, 547, 7711, 333, 574, 328, 692, 1892, 476, 8618, 25466, 281, 535, 513, 284, 1415, 9230, 283, 272, 1040, 8999, 269, 32502, 4415, 1121, 513, 1040, 11279, 20706, 269, 1107, 1109, 333, 574, 328, 4119, 476, 2767, 1412, 1704, 693, 476, 2641, 281, 4962, 692, 258, 681, 1341, 2036, 514, 520, 267, 476, 7597, 277, 277, 476, 6812, 25466, 692, 268, 274, 25466, 7064, 547, 808, 1046, 334, 14878, 10964, 17043, 692, 534, 1278, 910, 279, 25466, 7064, 547, 808, 1046, 334, 692, 10818, 5416, 14720, 264, 1415, 263, 1260, 16535, 520, 15311, 11279, 333, 6357, 267, 10818, 3287, 264, 718, 263, 256, 320, 260, 260, 343, 4297, 9239, 15957, 569, 267, 681, 3085, 1405, 723, 513, 3710, 514, 585, 10451, 782, 32545, 269, 16849, 513, 1630, 18978, 780, 12234, 267, 609, 808, 1046, 334, 781, 2034, 6454, 267, 1022, 1071, 518, 806, 519, 1592, 547, 513, 6152, 540, 9266, 609, 513, 9963, 780, 2521, 621, 2228, 256, 630, 337, 1922, 1497, 2020, 1892, 2353, 3287, 283, 272, 264, 568, 3476, 982, 1022, 263, 256, 343, 264, 543, 596, 1058, 581, 2111, 547, 5372, 2040, 609, 1022, 1107, 1109, 297, 4696, 4119, 476, 2764, 1412, 1704, 693, 476, 1428, 281, 1704, 454, 1892, 7711, 297, 1046, 334, 291, 889, 10964, 17043, 1434, 1289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 312, 17025, 538, 1142, 22280, 10856, 729, 8947, 609, 513, 28264, 17209, 1354, 543, 1310, 519, 6901, 269, 1284, 1336, 602, 538, 782, 519, 2831, 267, 932, 305, 273, 729, 4481, 6829, 538, 14346, 11409, 543, 519, 4398, 540, 519, 589, 16787, 1098, 9134, 729, 1164, 630, 285, 3199, 9077, 1294, 4675, 11915, 8431, 269, 476, 279, 1070, 5812, 609, 3105, 5359, 2641, 267, 2420, 563, 20228, 823, 7041, 543, 10916, 454, 10907, 1393, 2634, 21100, 941, 5423, 689, 10194, 22280, 8983, 1310, 7180, 4255, 269, 11374, 519, 23443, 628, 2033, 16562, 17561, 267, 519, 3662, 729, 1232, 777, 18469, 543, 519, 2634, 729, 6385, 6569, 543, 27153, 538, 606, 4672, 2275, 1245, 771, 7611, 17280, 630, 1260, 6570, 281, 476, 2568, 544, 300, 10878, 5141, 267, 476, 274, 544, 300, 918, 5141, 267, 476, 272, 269, 1839, 544, 300, 10878, 295, 273, 17269, 275, 267, 476, 1839, 544, 300, 10878, 295, 4596, 274, 267, 476, 12893, 544, 300, 7319, 13427, 267, 476, 1015, 544, 300, 7280, 267, 476, 278, 544, 300, 27002, 5141, 273, 267, 476, 271, 269, 276, 544, 300, 6970, 5141, 273, 282, 15459, 609, 476, 4817, 260, 744, 273, 543, 476, 276, 260, 2910, 273, 282, 9063, 284, 278, 269, 275, 1040, 11020, 21100, 540, 476, 12573, 268, 19031, 332, 11098, 5627, 519, 15096, 610, 14662, 270, 5183, 294, 4525, 941, 2759, 538, 513, 1351, 4689, 7077, 1210, 513, 31954, 2890, 339, 727, 630, 8867, 3821, 966, 307, 1911, 271, 338, 1040, 590, 997, 525, 941, 4847, 547, 9156, 585, 476, 1789, 1295, 538, 513, 1016, 11302, 542, 12068, 4904, 609, 519, 3636, 539, 630, 3374, 11019, 290, 264, 589, 5425, 293, 543, 1287, 547, 3579, 7930, 547, 519, 4055, 2837, 2394, 10916, 269, 634, 8901, 4082, 4806, 540, 932, 305, 273, 7232, 312, 17025, 610, 5246, 307, 8566, 17025, 538, 1142, 20105, 729, 8947, 896, 513, 28264, 17209, 1354, 10916, 269, 8307, 21100, 609, 519, 2953, 4087, 585, 4082, 941, 1031, 585, 2417, 10916, 269, 19204, 941, 3308, 1242, 609, 16843, 5937, 2975, 543, 28264, 22794, 630, 302, 9805, 639, 645, 311, 7906, 654, 296, 264, 585, 1808, 13389, 540, 7783, 11409, 269, 623, 2255, 10398, 22863, 630, 298, 574, 1314, 264, 609, 3980, 376, 275, 1700, 276, 5336, 394, 358, 25317, 941, 1031, 585, 2898, 16052, 19827, 269, 5589, 1800, 10398, 22863, 8659, 281, 476, 9873, 544, 300, 918, 3766, 1663, 935, 622, 267, 476, 275, 544, 300, 918, 5141, 267, 476, 273, 544, 300, 10878, 5141, 267, 476, 1015, 544, 300, 670, 7968, 2464, 267, 476, 271, 269, 273, 544, 300, 661, 294, 14011, 267, 476, 275, 544, 300, 21085, 267, 476, 271, 269, 274, 544, 300, 717, 9143, 543, 476, 1691, 544, 300, 8485, 665, 805, 710, 630, 335, 295, 267, 476, 278, 269, 1839, 282, 476, 23310, 544, 302, 8243, 1040, 6178, 1023, 941, 6592, 609, 606, 16547, 641, 2255, 476, 1220, 289, 24582, 630, 300, 12817, 20905, 264, 896, 6453, 12641, 2086, 7154, 693, 513, 8066, 6453, 540, 6567, 3583, 544, 309, 267, 22012, 693, 476, 273, 737, 13703, 543, 25541, 693, 476, 1015, 737, 13703, 269, 476, 272, 13179, 300, 570, 307, 311, 543, 476, 272, 544, 300, 476, 275, 268, 3133, 4878, 5090, 710, 729, 3773, 547, 519, 5007, 3070, 547, 2594, 1152, 1395, 657, 2106, 25443, 6114, 1428, 267, 4029, 563, 21900, 739, 574, 1637, 538, 20105, 10916, 454, 288, 16035, 20211, 17689, 729, 1031, 607, 519, 1769, 2707, 269, 634, 1769, 729, 2458, 13846, 543, 13745, 547, 519, 17209, 779, 3134, 604, 1663, 2803, 12412, 13374, 543, 729, 5293, 998, 4544, 610, 3039, 12086, 269, 589, 26215, 730, 27934, 5116, 693, 519, 17788, 730, 17122, 7077, 540, 519, 708, 3042, 20105, 729, 1031, 547, 1852, 519, 2450, 540, 519, 26149, 1858, 269, 589, 5721, 540, 476, 1015, 21636, 4544, 1769, 20512, 630, 323, 4851, 540, 1142, 13942, 729, 476, 2004, 20444, 264, 729, 9447, 547, 1449, 519, 11852, 540, 932, 305, 273, 7721, 335, 7675, 11409, 269, 6684, 267, 513, 1279, 13942, 540, 3039, 1769, 630, 323, 4851, 284, 272, 521, 264, 729, 4294, 547, 1449, 519, 22629, 540, 5246, 307, 7721, 335, 7675, 11409, 563, 2171, 5340, 1239, 2079, 609, 2688, 31465, 3301, 630, 21316, 25278, 267, 4569, 17582, 1040, 634, 1239, 941, 1101, 7535, 539, 1927, 585, 513, 19747, 16801, 4393, 543, 1287, 941, 19040, 2687, 547, 8097, 2175, 269, 634, 3328, 942, 17466, 3432, 9043, 729, 1159, 2393, 1117, 609, 513, 5347, 1599, 630, 337, 5979, 612, 264, 538, 30731, 269, 634, 3432, 27233, 7455, 729, 19034, 609, 513, 5409, 26382, 5223, 1599, 912, 309, 10946, 568, 519, 5021, 3432, 543, 966, 271, 568, 519, 15977, 3432, 563, 4537, 777, 10098, 1700, 310, 20488, 1449, 729, 1101, 4294, 547, 4983, 2436, 5439, 1185, 513, 3339, 3892, 269, 769, 519, 2013, 540, 513, 3339, 3892, 267, 512, 23150, 610, 2079, 540, 13065, 1449, 729, 4294, 269, 19227, 267, 513, 1875, 268, 12407, 13011, 1449, 630, 310, 559, 1723, 343, 517, 9896, 8573, 1678, 1449, 538, 713, 1353, 264, 729, 4294, 269, 4578, 941, 4843, 607, 1611, 22144, 338, 6155, 269, 952, 711, 6382, 9138, 563, 1692, 547, 13712, 713, 2376, 281, 2473, 542, 326, 267, 2473, 269, 681, 269, 1696, 620, 269, 10748, 7480, 16794, 8060, 3280, 12454, 17916, 8878, 7180, 998, 29416, 1993, 1872, 531, 20327, 547, 17071, 897, 997, 15252, 269, 14844, 269, 4004, 269, 476, 277, 281, 278, 2420, 275, 8222, 281, 476, 1015, 269, 9818, 279, 14672, 1260, 916, 279, 2420, 275, 630, 1001, 276, 1916, 300, 27198, 267, 590, 269, 595, 269, 1696, 620, 269, 2598, 4167, 532, 519, 2634, 781, 4250, 1062, 8761, 519, 20968, 31726, 568, 2565, 585, 14775, 538, 29884, 931, 24594, 11371, 644, 619, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 772, 2529, 6993, 269, 476, 11793, 267, 476, 4366, 278, 271, 1700, 4366, 278, 276, 630, 1220, 280, 1916, 303, 698, 8643, 267, 808, 269, 670, 269, 1299, 25347, 267, 808, 269, 645, 269, 634, 31443, 20968, 15401, 545, 17872, 5547, 543, 476, 273, 267, 276, 26817, 5139, 549, 268, 273, 267, 275, 267, 276, 2389, 3234, 14007, 628, 27927, 13238, 630, 307, 21587, 264, 13251, 4250, 281, 6476, 540, 14793, 6776, 543, 5778, 1729, 13877, 15087, 269, 11020, 1763, 269, 476, 12553, 277, 267, 476, 15836, 1700, 16409, 630, 1220, 280, 1916, 7922, 21123, 731, 267, 667, 269, 595, 269, 1299, 2349, 21123, 731, 267, 681, 269, 808, 269, 26735, 622, 543, 31411, 6547, 547, 3463, 538, 14148, 609, 993, 17789, 30445, 1355, 15087, 269, 808, 269, 3281, 269, 4284, 2723, 269, 5369, 565, 269, 476, 10037, 267, 476, 27005, 1700, 23310, 630, 3192, 273, 1916, 312, 559, 332, 1794, 267, 631, 269, 1299, 2725, 3563, 267, 631, 269, 21826, 17916, 17872, 6114, 540, 8983, 547, 3138, 4040, 3308, 15128, 269, 4354, 337, 269, 22776, 269, 476, 2537, 267, 476, 1001, 272, 1700, 1001, 276, 630, 1001, 274, 1916, 299, 527, 9109, 267, 962, 1421, 2349, 21123, 731, 267, 667, 269, 595, 269, 1299, 2349, 21123, 731, 267, 681, 269, 808, 269, 13158, 476, 2420, 737, 13703, 24318, 21319, 13047, 3074, 607, 15372, 1835, 625, 269, 20409, 269, 11020, 1763, 269, 476, 9264, 267, 476, 14917, 1700, 15094, 630, 1220, 278, 1916, 2419, 16211, 267, 808, 269, 590, 269, 1299, 9466, 267, 570, 269, 670, 269, 6239, 993, 17789, 323, 8403, 15087, 3625, 24318, 21319, 13047, 1436, 543, 16171, 607, 19585, 855, 711, 14955, 6463, 6114, 269, 808, 269, 11671, 338, 857, 269, 476, 2537, 267, 476, 9262, 272, 274, 1700, 279, 7761, 272, 630, 1220, 274, 1916, 289, 8681, 7776, 267, 631, 269, 700, 1421, 1323, 1088, 18223, 267, 966, 269, 2098, 1421, 17455, 1601, 1470, 267, 808, 269, 661, 1421, 1546, 19966, 340, 14765, 267, 808, 269, 661, 269, 1299, 10011, 559, 14833, 267, 966, 269, 631, 269, 11671, 23755, 6127, 540, 519, 17872, 2623, 538, 519, 24725, 4571, 28090, 269, 11671, 338, 857, 269, 4437, 12786, 6409, 269, 4860, 269, 476, 2537, 267, 476, 279, 8287, 1700, 279, 4037, 630, 1960, 280, 1916, 292, 559, 600, 267, 667, 269, 12603, 2182, 281, 513, 11100, 540, 16171, 543, 7904, 4370, 607, 513, 6422, 8878, 1765, 574, 4124, 585, 519, 1852, 540, 17872, 2623, 269, 11671, 338, 857, 269, 4437, 12786, 6409, 269, 4860, 269, 476, 3066, 267, 476, 14093, 272, 1700, 15686, 272, 630, 1220, 276, 1916, 289, 663, 2401, 267, 681, 269, 1299, 26676, 2917, 267, 631, 269, 570, 269, 28758, 541, 3919, 538, 519, 4571, 28090, 829, 807, 638, 9254, 551, 531, 12457, 281, 13838, 585, 3929, 4082, 286, 12367, 11671, 338, 857, 269, 476, 1704, 267, 476, 4391, 280, 1700, 4343, 280, 630, 1960, 275, 1916, 4131, 345, 330, 639, 267, 808, 269, 808, 269, 1696, 620, 269, 589, 771, 514, 3031, 7480, 2890, 15132, 3726, 585, 1997, 894, 4250, 1565, 538, 519, 17391, 16794, 269, 7186, 476, 21878, 267, 476, 28664, 1700, 28178, 630, 1001, 272, 1916, 8867, 291, 26919, 267, 808, 269, 661, 269, 681, 996, 9722, 519, 3929, 2634, 269, 3026, 584, 517, 476, 10463, 267, 476, 4792, 274, 1700, 6858, 277, 630, 1001, 273, 1916, 297, 2129, 753, 523, 267, 808, 269, 623, 1421, 595, 664, 267, 595, 269, 918, 1421, 744, 560, 549, 742, 267, 700, 269, 661, 269, 1299, 2274, 291, 26919, 267, 808, 269, 661, 269, 17449, 6127, 540, 4250, 1565, 543, 3965, 269, 8426, 476, 15704, 267, 476, 2004, 280, 1700, 276, 2190, 630, 1001, 272, 1916, 8867, 291, 26919, 267, 808, 269, 661, 269, 32313, 11387, 538, 519, 2634, 269, 7788, 340, 269, 4860, 269, 11671, 338, 857, 269, 476, 2537, 267, 476, 14028, 1700, 7277, 630, 1220, 271, 1916, 300, 13873, 267, 590, 269, 11671, 321, 5735, 540, 623, 822, 21754, 1014, 4250, 14555, 269, 7788, 340, 269, 4860, 269, 11671, 338, 857, 269, 476, 2190, 267, 476, 8660, 278, 1700, 280, 4029, 630, 1220, 272, 1916, 295, 879, 321, 839, 752, 267, 654, 269, 1696, 620, 269, 18726, 771, 7611, 540, 606, 993, 17789, 323, 8403, 2890, 15132, 3726, 602, 19235, 31411, 4250, 269, 7186, 476, 5379, 279, 267, 476, 17734, 1700, 28510, 630, 1001, 271, 1916, 293, 534, 572, 869, 267, 631, 269, 590, 269, 1299, 623, 9567, 657, 267, 589, 269, 631, 269, 634, 23798, 540, 27899, 1997, 894, 1565, 269, 7788, 340, 269, 4860, 269, 5369, 565, 269, 476, 6321, 267, 476, 21709, 1700, 23056, 630, 1220, 276, 1916, 302, 3149, 523, 267, 590, 269, 681, 1421, 645, 677, 821, 267, 667, 269, 590, 1421, 1520, 525, 23364, 267, 670, 269, 1299, 2480, 11961, 1014, 328, 267, 631, 269, 28150, 1852, 676, 4494, 3670, 538, 9729, 673, 11387, 540, 5075, 269, 7186, 476, 4366, 274, 267, 476, 5325, 1700, 7367, 630, 1001, 273, 1916, 311, 542, 326, 267, 2473, 269, 681, 269, 1696, 620, 269, 3955, 320, 1116, 1377, 3017, 17466, 2744, 1852, 543, 5348, 25443, 18440, 5817, 536, 2088, 1116, 19106, 269, 3026, 584, 517, 476, 8064, 267, 476, 278, 4343, 1700, 4037, 274, 630, 1001, 274, 1916, 313, 17924, 267, 631, 269, 1696, 620, 269, 2480, 2718, 1524, 540, 7059, 29835, 543, 22629, 676, 3742, 8965, 2829, 538, 17391, 16794, 269, 14844, 269, 11671, 338, 857, 269, 476, 1704, 267, 476, 279, 6078, 1700, 25616, 630, 1001, 275, 1916, 2171, 10719, 267, 808, 269, 589, 269, 1299, 5576, 516, 10719, 267, 595, 269, 661, 269, 538, 634, 769, 2536, 1640, 2051, 997, 15252, 32308, 654, 10719, 808, 269, 589, 1421, 5576, 516, 10719, 595, 269, 661, 269, 476, 272, 1700, 6924, 306, 1440, 5424, 630, 1220, 276, 1916, 30537, 267, 700, 269, 962, 1421, 9149, 267, 962, 269, 570, 1421, 31481, 267, 631, 1421, 28001, 267, 670, 269, 654, 269, 1299, 18681, 267, 700, 269, 594, 269, 2271, 2350, 677, 673, 8691, 540, 555, 15401, 665, 677, 673, 6786, 538, 10856, 17391, 16794, 269, 14844, 269, 11671, 338, 857, 269, 476, 1626, 267, 476, 14056, 280, 1700, 14093, 272, 630, 1001, 274, 1916, 30537, 267, 962, 269, 570, 1421, 594, 3630, 29538, 267, 700, 269, 589, 1421, 20568, 267, 645, 269, 670, 1421, 18681, 267, 700, 269, 594, 269, 1299, 28001, 267, 670, 269, 654, 269, 12430, 7004, 540, 555, 15401, 665, 677, 673, 3403, 676, 703, 2350, 677, 673, 29835, 269, 14844, 269, 11671, 338, 857, 269, 476, 1626, 267, 476, 15171, 275, 1700, 15836, 271, 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 ]
[ 543, 3677, 4336, 982, 596, 4001, 513, 1480, 269, 18972, 21436, 6796, 24929, 616, 2016, 8261, 338, 543, 723, 873, 1224, 621, 543, 1174, 269, 2755, 519, 21436, 8081, 13378, 15318, 568, 10480, 609, 5215, 540, 6643, 20743, 543, 689, 1346, 20743, 267, 519, 30292, 568, 2111, 547, 1174, 1018, 1826, 540, 2243, 3340, 1018, 1826, 540, 4267, 563, 8649, 7571, 779, 661, 11155, 3926, 814, 1044, 513, 9983, 5734, 267, 8757, 936, 476, 274, 300, 4559, 4421, 538, 1447, 982, 476, 1240, 3275, 269, 4014, 851, 540, 713, 1967, 666, 581, 11911, 547, 519, 7372, 4656, 20671, 1379, 540, 519, 8835, 2593, 1753, 2457, 267, 519, 3926, 11392, 2318, 8039, 689, 5561, 543, 4966, 7567, 267, 543, 814, 1256, 19430, 5616, 547, 1020, 922, 1378, 4528, 540, 519, 1482, 3926, 267, 5616, 5851, 563, 763, 7762, 630, 6518, 849, 3091, 3755, 519, 4316, 547, 10004, 609, 707, 7874, 8378, 1975, 573, 9007, 264, 3884, 1406, 513, 3020, 17187, 8665, 267, 538, 519, 2631, 602, 519, 7762, 779, 6114, 616, 4867, 513, 2370, 3908, 282, 713, 3884, 1406, 513, 5963, 968, 325, 516, 5598, 892, 30292, 269, 1280, 1383, 267, 538, 519, 6643, 1657, 267, 519, 7762, 4769, 1406, 5431, 519, 16253, 607, 513, 4570, 3210, 1107, 2186, 540, 513, 536, 28026, 952, 596, 2461, 15691, 585, 606, 15138, 1995, 563, 307, 599, 267, 606, 3642, 30292, 602, 16137, 689, 3105, 5872, 267, 3361, 2101, 15784, 1813, 547, 621, 1373, 6098, 676, 4950, 512, 2651, 338, 593, 12108, 269, 634, 7762, 729, 23699, 267, 543, 1310, 476, 1626, 3108, 3459, 547, 6494, 5393, 18086, 570, 933, 1115, 547, 3755, 269, 901, 5267, 602, 4352, 519, 7762, 19927, 3927, 689, 1995, 267, 7850, 4027, 729, 711, 2322, 538, 1747, 547, 2061, 21568, 563, 763, 30292, 568, 8036, 547, 14377, 519, 3403, 1239, 883, 513, 5551, 3977, 1871, 269, 1879, 2016, 713, 1239, 267, 621, 23607, 543, 3029, 2796, 547, 1448, 547, 519, 4143, 1239, 547, 2746, 547, 9275, 610, 2854, 12987, 269, 18391, 883, 2620, 1565, 1369, 3642, 267, 519, 3684, 25395, 1007, 3270, 538, 519, 1239, 1510, 1022, 1991, 1344, 610, 2866, 267, 1287, 21555, 543, 8637, 519, 4806, 563, 19284, 570, 599, 267, 2473, 807, 4069, 1121, 20047, 2370, 11353, 540, 6643, 267, 899, 513, 2736, 1575, 609, 513, 7911, 23136, 267, 543, 786, 2307, 596, 875, 596, 2811, 4743, 827, 621, 269, 3767, 267, 6634, 540, 1762, 12322, 616, 1257, 532, 1200, 1169, 1554, 547, 948, 17869, 873, 909, 543, 30898, 6324, 523, 741, 4606, 2443, 543, 2473, 807, 4069, 1121, 20047, 1175, 2614, 547, 948, 1832, 519, 6643, 2469, 269, 8479, 4457, 1004, 616, 7836, 3108, 10004, 1154, 609, 2473, 807, 4069, 267, 1256, 10213, 519, 7762, 834, 296, 2648, 596, 8487, 763, 7887, 4324, 540, 2348, 513, 17187, 3642, 3070, 568, 519, 8216, 3210, 2557, 269, 5775, 342, 1359, 14511, 1369, 606, 5662, 18922, 883, 476, 278, 311, 2333, 538, 519, 10171, 540, 14291, 513, 1291, 269, 11426, 619, 616, 811, 2693, 547, 2911, 827, 513, 2942, 1995, 982, 513, 2318, 835, 269, 1924, 562, 6235, 513, 2942, 2689, 1318, 538, 519, 5229, 568, 2469, 547, 948, 2087, 707, 1587, 779, 6216, 7555, 563, 21093, 519, 6967, 2418, 630, 15574, 602, 3593, 1131, 723, 3177, 547, 7762, 779, 3105, 2055, 267, 7762, 779, 3105, 2962, 267, 2164, 540, 519, 16286, 1289, 3092, 1421, 264, 568, 2370, 3787, 16602, 543, 1934, 568, 1141, 519, 5188, 9614, 5057, 3217, 936, 269, 1452, 4183, 2418, 786, 991, 547, 581, 13939, 689, 519, 2866, 1239, 602, 519, 3593, 786, 5581, 538, 519, 1106, 540, 3732, 7391, 1063, 519, 3593, 543, 519, 7762, 269, 1452, 3732, 7391, 1058, 581, 5423, 538, 971, 513, 6752, 602, 789, 7001, 1034, 540, 519, 2009, 17187, 8928, 1247, 5910, 2056, 547, 581, 1312, 606, 3593, 543, 513, 7762, 563, 303, 3233, 3593, 1995, 269, 634, 5377, 1899, 281, 26962, 9933, 622, 707, 5561, 952, 596, 616, 13156, 873, 607, 513, 10682, 585, 3425, 269, 1684, 711, 2479, 267, 2479, 2119, 547, 1780, 540, 513, 30292, 607, 513, 1480, 269, 1403, 707, 30292, 23119, 689, 1022, 540, 519, 2152, 1657, 267, 596, 2461, 4440, 2870, 513, 4057, 6075, 1995, 2949, 543, 606, 14220, 6049, 1289, 547, 513, 4057, 5667, 639, 1051, 532, 1289, 4099, 1065, 563, 299, 685, 639, 720, 964, 26962, 13777, 546, 685, 629, 867, 679, 851, 773, 1163, 2946, 17475, 1286, 24924, 929, 15530, 550, 7159, 796, 1978, 1567, 4302, 13248, 8350, 2261, 13196, 679, 535, 517, 794, 964, 26955, 1905, 1137, 521, 2946, 332, 656, 2294, 1502, 17156, 1696, 964, 6354, 2827, 522, 340, 546, 18863, 712, 928, 906, 20527, 326, 1446, 618, 679, 6665, 720, 1963, 632, 3288, 851, 964, 2028, 2246, 525, 269, 15776, 1322, 337, 11726, 338, 546, 753, 682, 6389, 324, 23835, 524, 2570, 656, 476, 18863, 2946, 22850, 1938, 1696, 8350, 26962, 521, 685, 574, 1842, 550, 546, 15530, 768, 9820, 546, 753, 5909, 1622, 2796, 525, 862, 324, 796, 562, 537, 557, 879, 12324, 632, 1489, 522, 340, 3346, 7817, 575, 5875, 1170, 656, 7006, 517, 756, 4106, 2946, 1696, 12374, 632, 1587, 643, 527, 2946, 563, 2691, 596, 723, 513, 26525, 991, 585, 513, 28162, 4368, 609, 8766, 1480, 5872, 543, 4674, 267, 713, 7762, 814, 596, 4988, 269, 4340, 547, 513, 1629, 334, 3366, 676, 15168, 686, 9410, 6363, 5585, 5424, 267, 519, 6995, 5832, 781, 8783, 2029, 11464, 267, 519, 7762, 1256, 17358, 1950, 9753, 609, 2027, 13668, 267, 899, 834, 29602, 26700, 1524, 5672, 14024, 6737, 3368, 1232, 2378, 609, 4055, 543, 513, 10943, 1662, 540, 8645, 538, 513, 6264, 324, 7484, 4799, 4415, 2841, 3218, 10469, 15879, 2907, 3964, 267, 9263, 3562, 24406, 518, 11033, 568, 711, 538, 543, 540, 3294, 513, 8903, 4183, 585, 10965, 777, 23298, 269, 1717, 267, 4946, 23129, 10342, 543, 8569, 2409, 547, 519, 813, 1281, 2482, 519, 24536, 585, 10965, 777, 23298, 547, 5490, 2047, 883, 16450, 269, 634, 20261, 813, 779, 16450, 4640, 2968, 811, 2312, 538, 4989, 476, 1001, 277, 609, 922, 10131, 540, 6300, 335, 762, 2984, 609, 2824, 4891, 538, 922, 13028, 3296, 269, 1280, 519, 1101, 942, 267, 1247, 13156, 3381, 2984, 689, 27010, 543, 28469, 2492, 267, 3755, 941, 2111, 547, 968, 1873, 6559, 909, 892, 547, 3643, 606, 552, 19645, 2985, 11251, 1369, 519, 10965, 777, 23298, 813, 1141, 789, 1223, 6718, 2472, 689, 1346, 4891, 563, 297, 629, 828, 342, 871, 344, 16137, 1007, 6114, 543, 2796, 1759, 593, 1483, 6066, 3593, 4205, 267, 2864, 982, 1373, 9141, 689, 513, 11979, 6538, 269, 2368, 811, 2487, 26962, 849, 9192, 1483, 6066, 1565, 609, 12105, 6620, 602, 5688, 1047, 741, 2702, 547, 5968, 1759, 593, 1142, 6643, 4371, 269, 12846, 267, 972, 568, 4867, 1100, 2489, 3483, 17187, 5841, 4987, 267, 543, 930, 3301, 9367, 1445, 593, 519, 4052, 2460, 267, 1344, 23023, 269, 0, 1103, 2221, 779, 13781, 267, 972, 568, 513, 1164, 3747, 540, 1053, 609, 513, 13241, 267, 610, 3163, 267, 5303, 267, 7177, 543, 4569, 267, 4110, 689, 513, 20295, 6280, 269, 4634, 1498, 519, 3747, 585, 1053, 538, 519, 13241, 2361, 568, 1164, 267, 972, 616, 711, 2614, 1053, 602, 666, 2743, 519, 2338, 540, 4600, 2877, 2687, 547, 519, 31869, 1326, 1144, 2160, 779, 4741, 585, 4065, 543, 519, 4518, 4403, 563, 763, 13241, 2361, 568, 2808, 547, 581, 519, 1271, 2127, 538, 2069, 602, 786, 1832, 519, 2136, 2276, 607, 513, 1158, 1379, 543, 948, 2087, 519, 4346, 269, 8616, 267, 1447, 982, 3368, 540, 782, 896, 6588, 706, 919, 602, 17551, 513, 13241, 2101, 1439, 909, 3478, 519, 4110, 2687, 547, 519, 5948, 585, 1133, 24887, 27990, 7010, 4139, 563, 14071, 616, 6849, 513, 17732, 540, 13241, 4600, 269, 1284, 991, 8030, 543, 23390, 547, 4194, 930, 540, 519, 7887, 2591, 6849, 2486, 2223, 1767, 31701, 5500, 590, 1181, 267, 519, 13241, 7027, 10615, 693, 31853, 4812, 19137, 267, 513, 1875, 17416, 538, 21388, 267, 7147, 602, 6212, 593, 13241, 2069, 585, 1053, 563, 1320, 8812, 31644, 2600, 540, 21632, 17603, 616, 5461, 538, 13241, 32407, 267, 855, 1152, 476, 277, 2600, 540, 1164, 1153, 20650, 786, 1205, 513, 20277, 779, 4110, 538, 513, 13241, 2361, 2687, 547, 519, 5948, 585, 1133, 2006, 2740, 27990, 7010, 4139, 267, 610, 589, 10013, 10485, 563, 2108, 14276, 2069, 568, 519, 1496, 18197, 2276, 316, 568, 2484, 689, 1373, 5140, 267, 543, 602, 568, 1152, 9292, 1154, 711, 1152, 1367, 1053, 267, 855, 849, 519, 2197, 3294, 2223, 9972, 32082, 585, 519, 4972, 540, 9119, 693, 519, 2160, 540, 7147, 693, 21388, 4856, 514, 928, 7054, 7773, 1767, 269, 968, 763, 1496, 18197, 2276, 316, 3112, 14526, 609, 824, 2477, 6457, 1302, 952, 1034, 1762, 1004, 616, 12517, 3768, 699, 3027, 730, 543, 3446, 19899, 3836, 3034, 8624, 548, 2471, 543, 9945, 538, 519, 2136, 2276, 8366, 827, 835, 21017, 540, 13241, 5232, 3379, 547, 12621, 538, 5607, 543, 9945, 2687, 547, 31869, 1326, 1144, 2160, 779, 4741, 593, 4065, 543, 519, 4518, 4403, 563, 2108, 31955, 6030, 723, 711, 4957, 547, 2743, 519, 7569, 540, 519, 2344, 269, 15380, 267, 519, 1101, 543, 2034, 1032, 6030, 616, 6026, 607, 2048, 15634, 13050, 685, 5049, 609, 5458, 14258, 267, 2757, 11000, 6163, 267, 543, 1360, 7811, 960, 1587, 2223, 590, 1181, 1767, 269, 968, 2005, 568, 711, 2394, 21738, 543, 9972, 1032, 6030, 602, 1053, 666, 1294, 741, 13241, 2069, 538, 2962, 3034, 14483, 2528, 1281, 711, 1489, 9639, 543, 16608, 538, 1053, 547, 1205, 547, 741, 3791, 1032, 540, 2852, 269, 5221, 540, 602, 267, 513, 5458, 1297, 540, 1053, 1439, 909, 4657, 741, 2101, 267, 1767, 590, 1181, 563, 301, 5328, 532, 519, 22520, 538, 519, 13241, 2361, 267, 1082, 1875, 3491, 22327, 616, 2921, 909, 519, 3390, 543, 616, 3843, 547, 1205, 7820, 1053, 5461, 538, 13241, 11678, 543, 2069, 1354, 8757, 519, 2852, 1377, 563, 20597, 650, 4812, 19137, 568, 2519, 593, 2679, 12352, 602, 1291, 547, 2852, 543, 4876, 1967, 585, 6239, 6809, 753, 269, 13241, 7027, 267, 513, 6498, 540, 31853, 4812, 19137, 267, 616, 7722, 547, 2232, 13781, 543, 3872, 2152, 538, 13241, 563, 2108, 2026, 513, 3028, 267, 621, 568, 1271, 547, 1459, 519, 2146, 519, 2702, 547, 1683, 513, 3028, 547, 519, 3152, 21388, 1858, 543, 547, 948, 11282, 609, 1164, 3506, 543, 519, 2146, 547, 1397, 875, 930, 29412, 3610, 616, 2679, 3631, 602, 6542, 3811, 3156, 540, 13241, 543, 875, 621, 814, 606, 1764, 593, 519, 21388, 960, 3196, 2223, 623, 22381, 326, 969, 4068, 779, 1230, 333, 958, 4400, 3427, 4116, 6424, 1230, 1478, 1767, 563, 23727, 7027, 14747, 1082, 2621, 547, 1205, 1053, 3238, 538, 13241, 11678, 543, 2069, 269, 1358, 1445, 593, 17562, 267, 3039, 2029, 543, 3059, 2923, 269, 4841, 616, 2111, 547, 7119, 609, 3292, 971, 607, 20653, 6290, 7167, 7723, 267, 606, 22631, 1222, 6438, 1982, 1141, 1164, 1153, 1053, 666, 1205, 6976, 547, 1711, 606, 5499, 3070, 547, 513, 1483, 8996, 1966, 267, 3060, 609, 1164, 24289, 12820, 543, 946, 519, 1374, 543, 1587, 538, 513, 1483, 8996, 3510, 563, 14881, 3494, 602, 1875, 3491, 22327, 1058, 581, 4543, 2069, 538, 3844, 7147, 543, 10876, 585, 602, 2339, 2223, 7054, 7773, 1767, 269, 968, 2252, 1875, 3491, 22327, 666, 948, 2087, 519, 5759, 585, 6809, 753, 547, 723, 519, 1983, 543, 519, 2069, 585, 1434, 6009, 267, 1287, 594, 1745, 602, 9988, 267, 899, 31853, 4812, 19137, 267, 616, 1390, 2081, 547, 1489, 513, 1360, 530, 984, 17331, 2069, 1062, 3034, 7712, 13241, 23909, 616, 15810, 547, 1332, 676, 476, 1704, 2600, 689, 476, 1220, 279, 547, 476, 1001, 279, 267, 519, 7022, 4946, 8561, 538, 519, 1454, 32571, 5232, 538, 13241, 267, 513, 1164, 1297, 540, 1164, 24289, 5059, 6009, 2139, 543, 519, 2956, 540, 1857, 2069, 269, 1403, 513, 2146, 6212, 593, 513, 1880, 3390, 267, 14761, 786, 5555, 5469, 267, 1767, 590, 1181, 563, 29467, 568, 1100, 9589, 3070, 610, 3830, 602, 2306, 713, 1496, 22568, 316, 960, 267, 855, 3843, 547, 2097, 909, 609, 519, 1655, 2259, 610, 1655, 2203, 568, 519, 1871, 602, 2501, 856, 540, 713, 2223, 1230, 1478, 1767, 269, 968, 763, 1496, 335, 847, 1182, 610, 3631, 316, 602, 616, 3811, 991, 547, 581, 21503, 267, 799, 568, 1946, 621, 568, 1271, 547, 3142, 1927, 519, 2146, 540, 2872, 543, 2069, 3034, 25387, 538, 7147 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16240, 1915, 1646, 454, 296, 3357, 547, 8275, 602, 609, 3388, 594, 9364, 2854, 593, 18572, 543, 2870, 3197, 267, 594, 1185, 4986, 602, 4988, 519, 2596, 1184, 540, 1915, 5137, 543, 1646, 269, 10886, 4886, 269, 1635, 7812, 5576, 559, 325, 20464, 476, 2641, 267, 476, 1001, 271, 17730, 16992, 269, 11644, 281, 3503, 513, 2143, 6609, 540, 707, 1292, 1915, 630, 272, 2985, 1152, 1040, 21220, 25056, 267, 19514, 1915, 1646, 538, 707, 6192, 4062, 666, 581, 519, 1267, 269, 1452, 616, 849, 1434, 585, 4543, 596, 2250, 5856, 781, 3625, 267, 610, 585, 946, 607, 12987, 538, 31764, 1603, 5751, 563, 20486, 3436, 7734, 593, 5675, 10886, 4886, 1299, 18140, 269, 634, 1915, 1646, 2835, 6035, 2630, 786, 948, 2087, 519, 4729, 1646, 540, 1022, 5856, 781, 960, 269, 901, 7127, 729, 11540, 538, 10886, 4886, 269, 10435, 5384, 1677, 3503, 269, 16797, 20113, 1677, 6435, 2060, 25166, 3876, 269, 4427, 3667, 281, 634, 12791, 19992, 634, 9293, 269, 1403, 519, 1915, 568, 9308, 3087, 894, 267, 875, 568, 713, 8984, 24829, 286, 4427, 30533, 619, 1205, 1569, 547, 938, 3635, 21517, 267, 1603, 6030, 267, 1603, 6009, 543, 1454, 811, 269, 10886, 4886, 281, 4985, 22398, 8124, 1744, 3658, 267, 772, 305, 5675, 13693, 656, 630, 2745, 762, 4528, 1934, 1040, 10886, 1646, 568, 513, 4105, 851, 540, 3860, 1603, 269, 476, 4029, 4555, 593, 5675, 19196, 4926, 476, 280, 269, 1724, 281, 8422, 2398, 784, 539, 10886, 4886, 269, 623, 532, 3724, 281, 10886, 4886, 281, 8422, 2398, 29330, 1923, 19536, 585, 8891, 324, 781, 590, 820, 563, 16240, 1915, 1646, 454, 763, 1034, 1271, 3693, 540, 1022, 960, 540, 5708, 568, 1915, 1646, 269, 1677, 798, 713, 5265, 596, 1590, 946, 4028, 1603, 910, 1141, 596, 2328, 1510, 16069, 547, 1589, 610, 12575, 269, 1411, 666, 1020, 707, 1915, 676, 2870, 1010, 9365, 9043, 269, 11300, 5675, 3767, 281, 11470, 5675, 8871, 14186, 269, 7647, 2880, 11334, 281, 20780, 532, 16992, 547, 5020, 538, 27752, 781, 22544, 269, 3503, 513, 5037, 267, 610, 513, 2985, 610, 1079, 602, 9727, 4162, 602, 1131, 1118, 513, 5467, 3858, 602, 3627, 15580, 713, 20394, 1934, 281, 674, 12302, 10886, 4886, 269, 8921, 10432, 781, 15503, 281, 19294, 269, 4635, 10886, 25420, 538, 11470, 5675, 269, 676, 6154, 601, 766, 5675, 269, 1280, 5708, 267, 596, 991, 519, 1318, 4999, 540, 4729, 267, 2962, 267, 6609, 543, 1915, 1646, 547, 3142, 707, 1650, 547, 1272, 585, 707, 269, 901, 4062, 729, 1101, 3370, 538, 634, 27752, 12139, 538, 476, 1220, 276, 267, 896, 519, 2140, 4197, 10886, 4886, 269, 10886, 1646, 568, 24903, 519, 1034, 1271, 2460, 540, 1603, 563, 11039, 31465, 3197, 798, 811, 547, 5397, 513, 1650, 982, 1022, 824, 2460, 540, 519, 1603, 267, 855, 1082, 5830, 1265, 602, 4758, 741, 3197, 3178, 568, 835, 540, 741, 7887, 2591, 269, 476, 1789, 10886, 1646, 1341, 1603, 1404, 29812, 269, 1915, 1646, 1603, 269, 623, 6369, 312, 20231, 269, 594, 2919, 519, 1739, 8073, 513, 10886, 4976, 585, 1250, 3209, 1603, 1576, 269, 594, 723, 6836, 1082, 1114, 12125, 607, 1134, 607, 1915, 1646, 3301, 269, 634, 10020, 540, 10886, 4886, 538, 23397, 5675, 269, 769, 2110, 267, 1915, 1646, 630, 30726, 1436, 264, 568, 1655, 24298, 607, 519, 957, 540, 4758, 1483, 3734, 7907, 547, 14070, 7606, 563, 23322, 4886, 269, 16992, 616, 519, 25588, 2295, 540, 1169, 1650, 1765, 12279, 267, 15923, 267, 1022, 6787, 596, 2811, 2324, 609, 16494, 610, 1483, 1004, 267, 649, 3513, 1397, 596, 875, 547, 2328, 3197, 602, 269, 4841, 2263, 519, 1523, 540, 1915, 1646, 998, 5059, 2833, 609, 4605, 476, 1960, 280, 269, 654, 1180, 9317, 9293, 281, 19536, 543, 5675, 538, 519, 16504, 15858, 269, 12124, 320, 267, 14889, 281, 715, 6311, 292, 269, 28414, 5675, 9669, 585, 3680, 532, 853, 699, 8040, 269, 853, 699, 8040, 616, 3197, 602, 616, 865, 3824, 11712, 2390, 519, 32436, 267, 789, 3592, 2408, 11300, 24897, 8586, 14313, 585, 10886, 4886, 269, 1403, 596, 723, 547, 1205, 513, 1915, 547, 2995, 721, 827, 713, 1689, 649, 2811, 9277, 547, 723, 2938, 267, 3079, 540, 519, 5304, 1373, 2111, 547, 4137, 621, 856, 585, 2933, 267, 1287, 596, 10093, 1405, 2854, 1915, 1646, 563, 23322, 1646, 568, 513, 2101, 2460, 540, 2870, 5140, 5708, 269, 1717, 267, 621, 7012, 1405, 2394, 1603, 519, 12681, 543, 11264, 519, 16213, 602, 519, 5830, 8268, 519, 4729, 1899, 602, 1131, 1831, 269, 5675, 6145, 513, 645, 1601, 281, 7849, 10886, 4886, 269, 2368, 1915, 1646, 786, 4755, 6923, 607, 596, 2328, 269, 15332, 1863, 1603, 543, 824, 2553, 267, 972, 616, 1082, 2200, 856, 972, 602, 1683, 17118, 476, 1911, 10886, 4886, 5999, 1280, 19536, 269, 476, 2004, 5999, 2334, 4024, 5131, 2659, 9650, 269, 769, 14318, 267, 594, 666, 1405, 2995, 596, 1250, 1915, 568, 8909, 676, 1603, 267, 2701, 568, 8909, 269, 2755, 594, 993, 3384, 519, 1915, 1284, 666, 1451, 827, 1915, 1646, 998, 11287, 1004, 543, 741, 14302, 269, 0, 6624, 1004, 1589, 602, 11544, 1022, 4829, 609, 1022, 10448, 568, 4625, 15528, 267, 855, 2687, 547, 4966, 267, 930, 10659, 666, 581, 5393, 5906, 585, 938, 1072, 269, 3807, 899, 649, 782, 917, 602, 972, 616, 1082, 6527, 799, 12582, 1406, 581, 6404, 267, 519, 1482, 4422, 585, 5613, 543, 5388, 269, 29759, 543, 19787, 616, 9090, 2635, 267, 855, 930, 540, 873, 1058, 2760, 581, 6404, 610, 596, 3580, 9090, 7985, 519, 4539, 563, 12648, 14274, 543, 31480, 585, 1383, 1107, 649, 1419, 5965, 513, 19997, 689, 873, 543, 711, 1589, 1454, 540, 621, 267, 855, 2965, 267, 649, 2461, 1818, 513, 2462, 12161, 269, 5637, 5820, 723, 1114, 12536, 2053, 538, 938, 1560, 1107, 1247, 835, 568, 2007, 6479, 3728, 267, 519, 824, 2007, 3949, 7168, 7444, 267, 799, 666, 723, 17672, 2360, 593, 938, 9667, 1072, 269, 634, 7444, 2007, 6479, 12146, 7475, 909, 4232, 1154, 538, 707, 7181, 267, 2810, 519, 1981, 540, 3875, 1072, 2042, 563, 22879, 4189, 4829, 1310, 513, 7594, 2336, 5194, 12161, 649, 782, 1118, 568, 4189, 4829, 1310, 513, 7594, 269, 17610, 267, 5613, 2270, 606, 11606, 540, 1271, 5567, 267, 855, 4189, 873, 1310, 6980, 786, 4734, 741, 4006, 267, 588, 2117, 1127, 543, 3940, 538, 938, 7181, 585, 1932, 1279, 267, 4611, 538, 3476, 12536, 543, 4358, 513, 18829, 1184, 602, 568, 2693, 547, 2800, 707, 1072, 563, 2080, 616, 476, 278, 1455, 1426, 10659, 596, 1058, 2760, 2119, 912, 268, 5839, 543, 4258, 3150, 454, 1607, 7594, 568, 1360, 2442, 267, 855, 10438, 621, 568, 1360, 4636, 269, 5839, 16336, 328, 2270, 20566, 269, 4706, 942, 540, 12536, 568, 1454, 811, 1114, 982, 519, 835, 540, 3940, 269, 901, 4999, 786, 1152, 2014, 9667, 2042, 543, 18829, 563, 268, 4258, 3150, 543, 29133, 454, 5194, 4999, 596, 991, 547, 2057, 1317, 540, 519, 3152, 2179, 540, 3940, 563, 268, 4258, 3150, 543, 29641, 454, 2252, 596, 3575, 19787, 609, 10381, 789, 786, 1034, 6157, 2014, 26533, 563, 268, 21060, 4236, 823, 543, 715, 22751, 20324, 1348, 454, 4322, 1058, 2760, 581, 6404, 256, 1261, 3679, 596, 991, 547, 7558, 519, 10433, 949, 6861, 519, 11747, 602, 814, 513, 1909, 547, 7558, 20566, 563, 268, 4826, 28447, 543, 9253, 517, 454, 27839, 976, 543, 1216, 17745, 976, 1058, 2141, 581, 10057, 14384, 563, 268, 22447, 543, 14465, 11446, 454, 1607, 4999, 25815, 707, 9667, 1062, 899, 4986, 3116, 267, 2057, 621, 607, 1454, 607, 2009, 563, 268, 962, 690, 4669, 543, 22500, 454, 9827, 713, 4999, 568, 23646, 1524, 707, 9667, 1062, 267, 543, 3123, 513, 2603, 540, 2152, 585, 519, 15499, 18508, 267, 16310, 602, 621, 568, 1034, 1004, 779, 5172, 14254, 269, 0, 17471, 1942, 540, 8377, 5829, 4576, 547, 5734, 1269, 272, 269, 273, 18265, 454, 1556, 5239, 267, 476, 1001, 278, 267, 476, 4962, 281, 1556, 454, 4407, 519, 8377, 2557, 1851, 1453, 538, 3638, 2477, 949, 723, 8445, 539, 267, 3214, 538, 3384, 2477, 616, 5051, 8380, 593, 14432, 6550, 267, 2687, 547, 1382, 5950, 13638, 563, 763, 3173, 267, 689, 15875, 5441, 5507, 543, 519, 2622, 2657, 9257, 267, 9916, 1239, 593, 3466, 1063, 476, 3192, 276, 543, 476, 1001, 277, 538, 1126, 543, 15730, 8377, 538, 476, 1220, 2477, 267, 17444, 689, 811, 982, 476, 273, 267, 6110, 2551, 2861, 2090, 602, 3769, 4463, 543, 2597, 7403, 585, 1453, 543, 10708, 1063, 519, 6502, 540, 476, 276, 543, 476, 866, 563, 257, 4407, 3328, 19483, 1851, 1453, 543, 10708, 814, 5063, 29415, 539, 538, 2342, 543, 3345, 3013, 267, 713, 568, 711, 606, 28195, 585, 5360, 659, 1890, 607, 811, 982, 476, 272, 538, 476, 276, 1762, 1004, 538, 519, 772, 2529, 6993, 269, 543, 476, 272, 538, 476, 1015, 538, 519, 2136, 8003, 616, 17324, 2580, 1767, 28564, 5069, 267, 540, 519, 2160, 540, 13573, 538, 4789, 563, 763, 4589, 1336, 602, 519, 2518, 9860, 540, 1126, 543, 15730, 8377, 2799, 585, 1312, 6690, 543, 8695, 267, 689, 476, 271, 269, 278, 2600, 547, 476, 276, 269, 277, 2600, 585, 6690, 267, 543, 689, 476, 271, 269, 280, 2600, 547, 476, 278, 269, 279, 2600, 585, 8695, 563, 2171, 782, 917, 602, 8377, 568, 593, 519, 4473, 267, 855, 1175, 875, 1454, 865, 3884, 1405, 1419, 4547, 1753, 547, 721, 2394, 649, 1294, 28135, 899, 713, 281, 972, 616, 476, 1015, 2053, 811, 17324, 1453, 910, 610, 476, 14862, 2113, 542, 910, 538, 519, 1158, 1631, 972, 941, 538, 476, 3192, 276, 269, 27819, 1079, 22188, 540, 891, 1453, 2661, 538, 3162, 5607, 267, 1141, 930, 6608, 262, 2702, 547, 3049, 741, 4961, 814, 1044, 8572, 547, 1832, 909, 609, 2477, 262, 1630, 4040, 5095, 563, 14454, 267, 835, 538, 1169, 2947, 1453, 593, 519, 4541, 568, 2901, 17324, 910, 2495, 811, 982, 1079, 3044, 24017, 689, 519, 11667, 593, 2208, 12125, 910, 610, 14968, 910, 2495, 811, 982, 835, 3044, 11539, 563, 19138, 2278, 3220, 6276, 28564, 5069, 267, 689, 519, 2160, 540, 13573, 267, 1767, 281, 834, 1607, 568, 711, 606, 28195, 585, 5360, 659, 1890, 607, 811, 982, 835, 538, 2947, 1762, 1004, 538, 519, 2475, 543, 835, 538, 476, 1015, 538, 519, 2136, 8003, 616, 17324, 8487, 10870, 3146, 572, 2117, 615, 3220, 16452, 681, 13616, 267, 689, 519, 5507, 3427, 540, 30719, 543, 23427, 6925, 267, 1767, 281, 834, 1607, 568, 513, 5458, 1966, 602, 786, 1205, 8338, 8487, 2252, 1699, 3466, 3136, 267, 1498, 267, 519, 1297, 540, 1453, 543, 10708, 945, 616, 17324, 1131, 20546, 519, 1297, 540, 896, 7076, 1453, 543, 10708, 676, 476, 1708, 273, 269, 2201, 519, 3162, 5607, 5750, 267, 519, 4544, 543, 13711, 2099, 1453, 945, 616, 26815, 610, 16094, 896, 7076, 267, 519, 3039, 1346, 693, 513, 2635, 2597, 563, 28657, 729, 19486, 476, 4510, 628, 585, 8377, 1851, 8695, 543, 476, 6858, 628, 585, 6690, 563, 4407, 1373, 14968, 568, 2404, 609, 4505, 12614, 540, 13487, 543, 10894, 2152, 543, 930, 11871, 267, 1373, 896, 7076, 849, 666, 4163, 3978, 4539, 563, 15862, 10677, 715, 7374, 11485, 16748, 21664, 12005, 1309, 1632, 634, 5207, 3928, 540, 8377, 616, 3254, 538, 2699, 267, 4553, 676, 10538, 543, 5835, 269, 769, 1082, 2694, 540, 4000, 543, 3127, 267, 476, 1789, 2600, 547, 476, 2004, 2600, 540, 8695, 941, 896, 7076, 563, 31936, 267, 552, 306, 7964, 949, 1205, 513, 2101, 5818, 2097, 476, 1708, 275, 267, 607, 621, 568, 1373, 2808, 585, 10014, 538, 519, 16727, 10632, 4371, 538, 8303, 269, 1656, 1631, 267, 670, 21343, 814, 20335, 538, 593, 519, 2962, 609, 519, 6718, 540, 713, 1007, 1543, 689, 26613, 563, 4002, 513, 835, 547, 2947, 16863, 4336, 1141, 476, 272, 269, 271, 6920, 513, 16200, 16179, 267, 476, 273, 269, 271, 6920, 513, 16179, 267, 476, 274, 269, 271, 513, 15579, 267, 476, 275, 269, 271, 513, 590, 749, 543, 476, 276, 269, 271, 513, 853, 784, 590, 749, 269, 5576, 342, 629, 8176, 20971, 5004, 5549, 269, 8057, 922, 3180, 902, 538, 8843, 540, 595, 10087, 4211, 7637, 7577, 630, 763, 264, 676, 476, 277, 269, 271, 260, 538, 519, 1101, 10116, 563, 298, 2801, 704, 333, 1157, 17275, 513, 3126, 540, 17600, 676, 2817, 25624, 13477, 5716, 13347, 676, 7128, 30468, 543, 7292, 8635, 269, 634, 10539, 3323, 1310, 26778, 5487, 2052, 1721, 320, 14437, 827, 918, 2801, 704, 333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5581, 513, 9568, 1317, 621, 814, 8795, 3172, 6421, 267, 13796, 543, 8901, 7516, 543, 8795, 1514, 543, 2804, 4539, 269, 634, 5222, 540, 12469, 1689, 519, 8739, 20300, 5054, 540, 938, 1272, 12725, 267, 538, 1082, 2665, 3148, 958, 563, 2690, 519, 3483, 540, 713, 1957, 267, 12469, 666, 581, 3989, 607, 513, 3978, 17522, 540, 519, 8647, 540, 513, 2146, 610, 513, 2486, 4929, 7839, 1480, 267, 1570, 267, 2804, 610, 2825, 9271, 799, 9765, 519, 2702, 540, 519, 4299, 2146, 610, 2486, 547, 11883, 1210, 922, 1378, 2200, 630, 3041, 11403, 267, 476, 1220, 275, 1040, 634, 2698, 9836, 11558, 2238, 585, 519, 6604, 543, 6606, 519, 3795, 540, 2067, 543, 812, 13402, 12469, 616, 17941, 607, 9568, 2359, 2238, 269, 1452, 2238, 666, 581, 19882, 883, 2947, 11775, 607, 6700, 676, 17934, 630, 1220, 272, 264, 543, 11536, 6020, 630, 1960, 280, 1916, 5445, 616, 11295, 676, 942, 543, 1599, 585, 782, 2010, 540, 12469, 269, 1452, 11775, 616, 1644, 547, 1142, 824, 543, 789, 4125, 1114, 2010, 540, 1983, 269, 634, 15324, 3800, 616, 5258, 883, 4058, 267, 17846, 543, 23982, 2238, 269, 4438, 519, 4058, 5123, 621, 568, 2556, 547, 5659, 543, 3561, 519, 7872, 540, 606, 6595, 2680, 610, 513, 9568, 543, 519, 1761, 4539, 610, 5222, 593, 1272, 267, 3959, 543, 1604, 269, 634, 2164, 540, 713, 5123, 616, 1898, 585, 519, 1985, 15324, 11775, 269, 14600, 12720, 2238, 9004, 610, 2569, 519, 5506, 540, 513, 9568, 563, 2005, 2882, 1279, 3856, 2238, 2966, 547, 2569, 519, 2360, 540, 796, 28300, 762, 12469, 269, 769, 519, 23982, 5123, 6608, 267, 3906, 543, 2043, 267, 1020, 4566, 547, 4688, 2729, 543, 7413, 9568, 3441, 269, 16721, 1563, 1145, 3800, 3343, 547, 3986, 9568, 3210, 4238, 269, 1879, 513, 9568, 610, 6595, 4523, 267, 519, 3210, 2238, 616, 2966, 547, 1683, 6595, 6351, 585, 9601, 269, 1358, 849, 2832, 547, 24644, 519, 3510, 543, 2569, 519, 5506, 540, 6281, 3441, 543, 3432, 6051, 3527, 563, 763, 6051, 2238, 2832, 547, 2132, 519, 2713, 2175, 547, 3339, 610, 1732, 543, 789, 2356, 1331, 1079, 5036, 540, 2238, 269, 10374, 3856, 6051, 2238, 2132, 4105, 1272, 23418, 677, 1949, 547, 513, 5934, 5665, 3044, 269, 7043, 3856, 6051, 2238, 949, 3136, 585, 513, 1297, 540, 1296, 1310, 513, 9568, 269, 901, 5123, 4564, 849, 519, 1101, 1900, 547, 513, 1007, 4058, 5123, 267, 1317, 713, 568, 519, 1448, 950, 519, 2079, 540, 519, 2014, 540, 519, 9568, 610, 6595, 3217, 1747, 269, 5398, 8881, 7010, 630, 31723, 264, 616, 1031, 538, 1614, 11775, 1369, 519, 9568, 2359, 563, 7628, 519, 23982, 5123, 6608, 543, 3906, 1683, 2123, 2866, 538, 875, 547, 946, 519, 623, 7704, 269, 634, 1292, 3498, 540, 891, 1949, 568, 538, 519, 3210, 5123, 267, 1141, 2780, 3292, 2285, 5528, 547, 519, 15063, 6887, 269, 769, 519, 2013, 540, 519, 6595, 3510, 267, 519, 6595, 1289, 786, 581, 7608, 543, 519, 15063, 6887, 15372, 539, 543, 6417, 269, 769, 519, 6051, 5123, 623, 7704, 3132, 7851, 6029, 519, 6708, 540, 519, 3441, 3361, 676, 519, 9568, 269, 12856, 543, 9577, 540, 5398, 8881, 7010, 26023, 267, 5398, 8881, 7010, 723, 22606, 3334, 563, 763, 2596, 9074, 568, 2966, 547, 1489, 519, 3375, 6194, 543, 547, 6023, 519, 6595, 269, 2353, 3606, 13838, 5512, 519, 6595, 5351, 543, 2359, 540, 519, 15063, 6887, 269, 901, 1374, 2636, 1896, 1857, 3106, 14540, 630, 16446, 9061, 267, 3595, 32531, 1228, 267, 7128, 264, 543, 824, 14540, 630, 2246, 558, 9394, 12205, 267, 1648, 3761, 3549, 264, 547, 2688, 1047, 519, 623, 7704, 585, 741, 1114, 2115, 269, 769, 713, 1957, 649, 786, 2689, 623, 7704, 2919, 585, 3595, 32531, 3547, 543, 5605, 592, 1734, 269, 634, 2497, 543, 1599, 540, 623, 7704, 568, 3254, 538, 8431, 269, 476, 273, 269, 901, 568, 849, 519, 5934, 10421, 540, 623, 7704, 281, 1403, 606, 6595, 4523, 630, 8364, 8009, 267, 3595, 538, 513, 6366, 267, 3092, 563, 264, 18825, 786, 10141, 606, 6595, 1289, 547, 519, 8998, 540, 519, 15063, 2319, 269, 1703, 519, 11674, 518, 4203, 2231, 519, 19670, 6595, 1289, 609, 519, 2556, 7355, 1519, 4087, 267, 942, 267, 1826, 267, 7606, 799, 616, 3238, 267, 3092, 269, 538, 519, 6595, 269, 901, 1344, 568, 519, 1151, 545, 1243, 3403, 585, 519, 3375, 1489, 9074, 540, 519, 623, 7704, 269, 634, 1985, 1900, 568, 519, 29916, 540, 519, 6595, 4229, 269, 634, 623, 7704, 786, 10505, 267, 593, 519, 4493, 540, 519, 9715, 1344, 267, 519, 2139, 2200, 543, 519, 15372, 4566, 547, 519, 2556, 6595, 4559, 269, 634, 11674, 518, 8060, 519, 13128, 20790, 540, 519, 1062, 543, 25887, 519, 6595, 4229, 563, 8245, 6714, 748, 547, 519, 15372, 1271, 1344, 630, 331, 6327, 267, 1826, 267, 8905, 547, 519, 4087, 264, 786, 581, 2366, 547, 519, 15372, 539, 15063, 6887, 269, 4438, 519, 6595, 5692, 519, 6595, 4559, 616, 6417, 543, 3606, 1344, 799, 568, 2877, 547, 6023, 519, 6595, 666, 581, 16761, 689, 519, 6595, 1289, 8998, 630, 324, 269, 575, 269, 14511, 1106, 13818, 1570, 12240, 1040, 2353, 3268, 267, 689, 519, 942, 540, 519, 6595, 1289, 547, 519, 4567, 540, 519, 6595, 4229, 899, 519, 4087, 540, 519, 6472, 610, 519, 1031, 16491, 906, 547, 519, 1439, 540, 519, 6595, 5692, 267, 616, 29429, 676, 519, 623, 7704, 547, 513, 7014, 563, 1103, 519, 2022, 3491, 22422, 5123, 782, 7508, 1239, 540, 519, 6595, 786, 581, 6192, 543, 513, 1867, 540, 519, 6595, 5692, 568, 6383, 543, 10710, 538, 513, 6538, 269, 4033, 1271, 13838, 540, 623, 7704, 616, 5007, 3156, 799, 1450, 606, 796, 984, 560, 1192, 539, 6595, 7829, 269, 1452, 3292, 616, 2047, 7471, 547, 623, 7704, 543, 14511, 666, 581, 3144, 689, 1896, 12240, 607, 13818, 1570, 12240, 267, 6475, 673, 15146, 2835, 610, 824, 4143, 6595, 12240, 563, 6624, 623, 7704, 723, 849, 7471, 15372, 4566, 540, 1164, 4220, 1102, 2858, 23461, 552, 269, 575, 269, 3506, 267, 20730, 267, 10506, 267, 4123, 543, 2872, 5656, 269, 1452, 15372, 4566, 2270, 1271, 1344, 971, 607, 9744, 1344, 267, 4087, 540, 13818, 2326, 267, 9101, 11507, 3092, 269, 2073, 585, 519, 6595, 4559, 269, 3958, 824, 13838, 616, 3769, 538, 513, 623, 7704, 267, 585, 1383, 2645, 585, 519, 7245, 540, 2123, 543, 4859, 543, 585, 519, 9819, 540, 519, 3790, 540, 606, 6595, 5692, 269, 12601, 3201, 308, 9569, 5508, 22944, 5174, 3008, 3633, 29706, 13993, 2975, 14408, 293, 4953, 312, 20219, 23727, 306, 454, 2690, 519, 3853, 540, 938, 1353, 649, 5697, 519, 1739, 2947, 267, 20749, 2139, 5398, 8881, 7010, 281, 595, 16775, 268, 12208, 2919, 676, 595, 16775, 3590, 324, 267, 661, 17162, 3041, 476, 273, 2919, 676, 16402, 325, 6064, 918, 1952, 12329, 267, 594, 14727, 4696, 2919, 676, 3955, 23054, 5398, 8881, 267, 661, 11862, 270, 12283, 29996, 3041, 476, 274, 269, 476, 271, 2919, 676, 8734, 1774, 322, 7177, 543, 5150, 269, 6513, 2919, 676, 654, 612, 518, 769, 8971, 1731, 269, 1452, 2947, 3156, 666, 581, 2808, 607, 519, 3486, 2344, 3401, 538, 713, 1858, 269, 1284, 3379, 17103, 1063, 623, 7704, 543, 22944, 267, 1031, 2520, 617, 1092, 543, 2596, 22944, 1922, 17313, 799, 616, 7471, 538, 891, 1949, 563, 763, 3435, 8428, 15186, 2687, 547, 519, 8818, 1063, 623, 7704, 543, 22944, 267, 799, 568, 7691, 538, 1614, 1114, 2010, 269, 769, 519, 1101, 2013, 630, 8993, 269, 476, 274, 320, 1070, 519, 623, 7704, 543, 22944, 616, 2808, 547, 581, 4830, 267, 1796, 17038, 821, 2645, 543, 4448, 547, 1142, 824, 998, 519, 5385, 540, 519, 1239, 630, 5814, 270, 1410, 1636, 540, 1239, 1040, 901, 623, 7704, 3498, 666, 960, 1510, 513, 22944, 269, 634, 22944, 21524, 2737, 666, 581, 16041, 14350, 547, 519, 1062, 269, 769, 519, 2034, 2013, 267, 22944, 568, 606, 7471, 851, 540, 519, 623, 7704, 269, 10738, 713, 3498, 1106, 519, 3593, 568, 2111, 547, 2196, 2596, 22944, 3252, 269, 769, 519, 3791, 3070, 267, 519, 623, 7704, 568, 606, 7533, 851, 540, 519, 22944, 563, 2080, 519, 2596, 3498, 568, 513, 22944, 1982, 543, 519, 623, 7704, 21524, 2737, 616, 2919, 538, 1840, 547, 519, 22944, 10342, 269, 2353, 3379, 623, 7704, 946, 2147, 3889, 540, 2520, 617, 1092, 269, 1306, 538, 1082, 22944, 3156, 267, 519, 2520, 617, 1092, 8428, 1063, 7470, 543, 6152, 1239, 269, 634, 7470, 1239, 538, 519, 1106, 540, 3059, 1283, 4919, 7851, 543, 6552, 15392, 1239, 4196, 585, 513, 1732, 7650, 540, 519, 6595, 3510, 269, 13689, 593, 519, 6595, 3135, 630, 18076, 610, 6917, 4525, 264, 1114, 7851, 267, 899, 2749, 610, 6237, 7851, 267, 19666, 6337, 543, 9682, 2592, 616, 1031, 547, 14650, 519, 6595, 4087, 563, 2690, 13156, 713, 7851, 543, 2592, 3044, 2389, 8962, 585, 804, 6235, 267, 3443, 940, 543, 18186, 4040, 616, 7471, 883, 623, 7704, 3498, 269, 634, 22944, 2079, 538, 623, 7704, 568, 1759, 593, 513, 6152, 10471, 799, 2882, 22290, 824, 1239, 849, 2520, 665, 10757, 9607, 543, 519, 8265, 3060, 269, 20491, 2127, 540, 519, 1857, 3106, 14540, 267, 1216, 4703, 543, 3515, 543, 1448, 540, 1719, 630, 17269, 296, 264, 899, 6753, 540, 15063, 6887, 267, 590, 5308, 7658, 10746, 543, 3289, 7847, 616, 1031, 585, 519, 7047, 4919, 3308, 5314, 540, 519, 6595, 1858, 563, 1103, 1022, 2013, 621, 568, 1271, 602, 585, 513, 3811, 6595, 5351, 782, 1239, 568, 909, 547, 4266, 630, 295, 534, 651, 267, 476, 1220, 273, 1040, 634, 1292, 22944, 10342, 540, 623, 7704, 568, 513, 1599, 602, 3096, 2520, 665, 10757, 9607, 269, 901, 1599, 568, 2838, 538, 1931, 547, 5512, 31338, 540, 519, 6595, 3135, 269, 634, 9607, 616, 2356, 22555, 538, 513, 10471, 267, 799, 1331, 519, 2556, 13664, 1344, 267, 552, 269, 575, 269, 10974, 269, 769, 1840, 547, 713, 1599, 267, 519, 6595, 4087, 666, 581, 9411, 3842, 519, 8265, 2012, 610, 8723, 10923, 10974, 563, 763, 2034, 1271, 22944, 1599, 568, 519, 3060, 2079, 269, 769, 519, 3060, 2079, 519, 20125, 610, 519, 16595, 1259, 1063, 519, 2990, 540, 519, 6595, 4229, 543, 519, 6595, 3135, 568, 7229, 269, 901, 1599, 3096, 3765, 3250, 10389, 6724, 267, 971, 607, 835, 17574, 3613, 516, 1115, 543, 2490, 9993, 269, 10241, 2966, 585, 5605, 592, 1734, 946, 519, 1599, 540, 519, 968, 10177, 767, 1782, 6455, 2006, 1966, 892, 585, 12719, 519, 10464, 652, 1259, 1063, 519, 4087, 540, 519, 2550, 543, 519, 1072, 1416, 18013, 630, 327, 2214, 8558, 267, 6536, 5321, 267, 2564, 12665, 1916, 763, 9715, 11507, 616, 1287, 3254, 593, 519, 7047, 4919, 3308, 5314, 1907, 543, 2366, 607, 15870, 18396, 24002, 610, 607, 513, 21849, 1592, 540, 8846, 547, 519, 6595, 6472, 269, 634, 7047, 4919, 3308, 5314, 540, 6595, 4609, 568, 1776, 1271, 1599, 540, 623, 7704, 269, 898, 568, 2356, 4843, 593, 513, 3059, 4786, 799, 666, 581, 6192, 609, 28365, 6698, 267, 2241, 12400, 543, 10297, 269, 2060, 519, 948, 540, 15870, 10141, 1562, 519, 1699, 2990, 540, 519, 6472, 568, 9715, 543, 3308, 2213, 609, 6698, 593, 519, 4786, 269, 769, 3606, 6106, 267, 5656, 609, 1164, 4598, 267, 899, 10506, 267, 3506, 267, 20730, 267, 3092, 563, 4754, 581, 10268, 593, 519, 4786, 610, 27366, 689, 2027, 2679, 12240, 269, 4033, 22944, 3252, 3769, 538, 519, 8642, 4159, 540, 623, 7704, 616, 519, 6482, 540, 11507, 543, 7252, 543, 519, 13214, 540, 1808, 6595, 1239, 269, 3958, 547, 519, 4330, 22944, 3252, 267, 930, 623, 7704, 3156, 5512, 849, 513, 11191, 540, 11626, 24980, 540, 13818, 2326, 269, 634, 24980, 3631, 616, 3044, 9819, 3631, 609, 1995, 2418, 269, 0, 31917, 267, 13245, 28202, 1516, 5753, 568, 23554, 958, 12830, 585, 513, 13245, 267, 28202, 1516, 8892, 26008, 2336, 6701, 938, 1453, 616, 4742, 27226, 689, 1565, 827, 4948, 2713, 1983, 267, 1514, 1983, 543, 2833, 888, 1103, 713, 2376, 594, 1131, 899, 547, 2671, 609, 596, 519, 3668, 540, 4598, 938, 1453, 616, 2348, 547, 513, 2101, 4909, 5748, 585, 5020, 269, 2334, 1373, 7186, 543, 1018, 4667, 547, 581, 7805, 568, 519, 3668, 540, 4598, 547, 7186, 563, 17606, 568, 1373, 5219, 547, 607, 7186, 4347, 7228, 13081, 7536, 21982, 513, 1413, 693, 1614, 1292, 2081, 538, 799, 649, 1451, 8894, 272, 269, 10748, 7480, 1141, 649, 5873, 1107, 711, 1175, 689, 1004, 855, 689, 2470, 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, 4495, 2390, 513, 942, 267, 2185, 2828, 3957, 15207, 519, 32202, 18857, 267, 22123, 519, 8293, 597, 7758, 267, 18581, 519, 19594, 267, 543, 30751, 519, 1546, 518, 4956, 789, 4941, 547, 979, 593, 606, 7045, 269, 1358, 1185, 4862, 2984, 540, 513, 30152, 2244, 1572, 24640, 807, 267, 2407, 540, 11580, 7996, 547, 581, 4362, 269, 1924, 267, 789, 14095, 741, 11435, 543, 1305, 1055, 593, 606, 3078, 3460, 2439, 26796, 21945, 538, 24640, 807, 267, 789, 1558, 6723, 519, 717, 4275, 11738, 267, 513, 8797, 2199, 17055, 945, 6035, 547, 3391, 873, 998, 1010, 4190, 2197, 269, 4256, 1101, 3247, 729, 717, 329, 10098, 330, 770, 571, 267, 1141, 789, 14952, 539, 693, 519, 2189, 16368, 543, 24640, 1014, 6189, 269, 1306, 789, 8268, 267, 15207, 4280, 267, 834, 3963, 798, 891, 5656, 1413, 865, 1114, 982, 23600, 1394, 1753, 8119, 6723, 6045, 602, 2916, 543, 2326, 6766, 2679, 6163, 1472, 519, 1158, 267, 1818, 1142, 1747, 2027, 543, 2189, 780, 9202, 267, 789, 10272, 4406, 2548, 320, 9503, 2817, 5244, 267, 1141, 789, 25343, 519, 18198, 7823, 5784, 543, 10150, 19482, 1927, 269, 4438, 12899, 676, 519, 1744, 8403, 5211, 267, 18581, 8068, 875, 2312, 543, 6986, 519, 1216, 6743, 269, 30985, 267, 646, 20402, 952, 782, 8933, 941, 899, 713, 269, 6723, 5143, 1864, 827, 11761, 543, 5533, 267, 3450, 873, 875, 3425, 666, 1764, 2470, 1312, 9797, 543, 11874, 780, 4504, 29098, 676, 3504, 12977, 267, 519, 1895, 1287, 5887, 3293, 547, 1809, 11781, 269, 2755, 29595, 10838, 519, 3140, 21219, 267, 30751, 1336, 513, 9490, 31074, 3368, 12617, 538, 519, 2666, 269, 2701, 9289, 16965, 1018, 621, 1223, 581, 269, 2060, 10761, 538, 1010, 5639, 267, 6723, 3838, 8941, 540, 1004, 689, 1279, 3516, 267, 7234, 875, 3744, 1353, 971, 3615, 547, 1174, 938, 2250, 1732, 780, 7661, 267, 789, 6603, 7203, 7701, 267, 513, 28677, 9381, 4884, 2059, 519, 24640, 1014, 681, 643, 1512, 320, 269, 3371, 267, 519, 2831, 5129, 538, 519, 2881, 638, 18857, 4262, 543, 1500, 1007, 2828, 693, 2199, 552, 831, 625, 269, 19759, 569, 267, 1282, 12129, 267, 513, 7088, 3459, 28823, 856, 693, 4262, 267, 22348, 3025, 540, 519, 1379, 540, 2470, 269, 4014, 25922, 267, 789, 7691, 602, 711, 1169, 1554, 1131, 581, 3501, 543, 3006, 6397, 2621, 2049, 780, 2026, 3781, 8593, 936, 7203, 7701, 267, 519, 2828, 10630, 593, 741, 6909, 7045, 4904, 609, 1565, 267, 3408, 267, 543, 7071, 585, 519, 5898, 540, 24640, 807, 543, 922, 3638, 1686, 269, 1358, 6956, 602, 1256, 1498, 1919, 1522, 711, 2141, 2490, 856, 4010, 607, 9709, 267, 8508, 1689, 5012, 547, 2208, 543, 1620, 1107, 4245, 1898, 585, 1022, 1390, 7045, 337, 610, 10196, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 616, 930, 1055, 7308, 15515, 22760, 1790, 987, 18353, 547, 3643, 538, 24640, 807, 888, 272, 269, 717, 329, 10098, 330, 770, 571, 281, 901, 20648, 2000, 13554, 2749, 568, 513, 4241, 10278, 585, 17631, 5461, 538, 16368, 543, 24640, 1014, 1686, 267, 607, 1134, 607, 11495, 6189, 780, 273, 269, 4406, 2548, 320, 9503, 2817, 5244, 281, 901, 32154, 6288, 568, 4092, 538, 519, 5087, 540, 24640, 807, 543, 3091, 10875, 7823, 5784, 267, 19482, 3255, 267, 543, 8076, 6917, 2833, 780, 274, 269, 1744, 8403, 5211, 281, 901, 12627, 268, 27234, 5757, 568, 2808, 835, 540, 24640, 807, 779, 1034, 4190, 2067, 24738, 267, 609, 922, 29814, 7297, 23090, 998, 10565, 10239, 780, 275, 269, 1809, 11781, 281, 901, 3504, 18774, 523, 2065, 267, 4936, 543, 20850, 2749, 568, 13883, 538, 519, 5045, 540, 24640, 807, 267, 2282, 519, 5259, 8473, 269, 654, 6387, 1851, 519, 21219, 540, 713, 1134, 25535, 5703, 15456, 3135, 267, 1318, 1985, 547, 519, 12627, 268, 27234, 7297, 540, 519, 594, 20897, 7256, 780, 276, 269, 7203, 7701, 281, 28210, 593, 519, 24640, 1014, 681, 643, 1512, 320, 267, 7203, 7701, 3091, 12627, 268, 27234, 7297, 267, 29271, 17822, 267, 543, 513, 23406, 4884, 609, 606, 5044, 540, 13063, 267, 14060, 267, 543, 15945, 547, 2263, 780, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 1576, 1770, 782, 827, 623, 2975, 5843, 19055, 518, 13909, 256, 1411, 1522, 581, 11842, 1018, 4010, 513, 29668, 518, 568, 269, 4270, 267, 4952, 952, 596, 1223, 1491, 782, 519, 1114, 3334, 602, 1118, 909, 513, 2780, 630, 3697, 519, 16267, 267, 3965, 267, 543, 3403, 270, 16059, 3457, 1070, 543, 16756, 873, 1524, 883, 835, 6263, 2370, 13863, 269, 2334, 781, 9247, 1018, 513, 29668, 518, 568, 910, 621, 781, 899, 513, 20538, 2780, 602, 666, 3514, 5196, 513, 2582, 5547, 4604, 2439, 3086, 267, 950, 649, 2911, 827, 5752, 891, 29668, 619, 267, 972, 616, 6266, 540, 1114, 4654, 649, 1223, 946, 269, 1809, 2221, 267, 649, 2811, 2469, 547, 1445, 593, 1945, 1572, 10198, 1893, 269, 901, 568, 513, 1970, 7400, 5752, 1893, 602, 2636, 721, 547, 5968, 2047, 609, 519, 8800, 540, 519, 29668, 518, 269, 898, 1522, 3280, 7294, 267, 855, 1810, 1405, 5855, 910, 676, 519, 1439, 540, 713, 1770, 267, 596, 3513, 723, 513, 4396, 1620, 540, 875, 547, 1982, 513, 623, 2975, 29668, 518, 1210, 10198, 1893, 780, 3383, 1577, 781, 4685, 1318, 538, 256, 2290, 1271, 3364, 547, 1174, 827, 10198, 1893, 568, 602, 621, 3096, 2027, 12981, 1572, 1566, 322, 3941, 547, 2995, 519, 29668, 518, 1018, 547, 798, 269, 1280, 1383, 267, 952, 649, 1616, 547, 2490, 593, 606, 10896, 4448, 547, 519, 29668, 518, 267, 649, 1522, 946, 519, 4971, 834, 7034, 293, 623, 18306, 289, 267, 271, 2580, 799, 6763, 585, 834, 4226, 1305, 3758, 11578, 645, 267, 3787, 476, 271, 2668, 901, 6645, 519, 29668, 518, 547, 6494, 5201, 547, 8930, 1297, 476, 271, 593, 2823, 645, 267, 799, 786, 1769, 909, 519, 10896, 780, 8170, 1576, 267, 1354, 649, 666, 1376, 4758, 12981, 547, 519, 29668, 518, 267, 649, 991, 547, 1118, 2386, 649, 4312, 3893, 3388, 1305, 909, 7157, 269, 2334, 1797, 3355, 1944, 1022, 16788, 649, 1544, 547, 946, 267, 4259, 909, 4626, 619, 610, 27669, 267, 543, 1818, 2386, 938, 11378, 543, 17016, 616, 27358, 5265, 269, 2353, 540, 713, 4523, 538, 513, 3296, 540, 3009, 1572, 519, 834, 3553, 1575, 6296, 2580, 799, 8255, 1175, 2899, 950, 519, 29668, 518, 1101, 6238, 909, 780, 5629, 938, 14764, 6296, 568, 2347, 267, 649, 1847, 593, 547, 519, 1292, 8520, 540, 938, 1982, 269, 901, 568, 1141, 649, 2322, 782, 519, 5528, 602, 649, 1616, 519, 29668, 518, 547, 14892, 936, 543, 936, 1586, 269, 9320, 649, 1616, 547, 1025, 1074, 606, 10896, 593, 543, 1055, 1169, 2034, 267, 610, 1224, 1239, 689, 513, 2837, 9300, 543, 4159, 621, 593, 513, 5496, 269, 21894, 938, 3853, 616, 267, 789, 3513, 581, 12913, 538, 519, 1292, 8520, 540, 938, 1982, 780, 3719, 1934, 781, 519, 2731, 3579, 3364, 827, 5752, 29668, 619, 609, 10198, 1893, 281, 1317, 649, 2811, 2324, 865, 2673, 547, 519, 8800, 267, 649, 666, 1419, 25837, 856, 3063, 2773, 3379, 547, 2362, 7400, 5752, 4654, 269, 2334, 1797, 5488, 3210, 2053, 267, 2539, 1379, 4616, 267, 543, 811, 3608, 946, 540, 2200, 269, 1656, 945, 3085, 1405, 2648, 513, 1434, 11938, 4161, 31841, 2414, 2285, 596, 606, 2856, 540, 1018, 5752, 513, 623, 2975, 29668, 518, 5654, 899, 538, 2259, 267, 1577, 781, 3802, 998, 513, 2241, 1383, 1927, 269, 2913, 781, 2161, 649, 1616, 547, 1628, 513, 2370, 3926, 602, 8279, 909, 606, 10896, 8164, 2576, 2046, 525, 513, 7735, 269, 3371, 781, 1018, 938, 3009, 1522, 1413, 899, 912, 3499, 321, 1662, 454, 282, 19461, 1125, 5800, 645, 607, 3977, 585, 10896, 454, 15045, 3041, 289, 815, 476, 271, 6902, 5590, 782, 20382, 593, 5800, 645, 607, 3977, 454, 303, 18306, 289, 815, 476, 271, 6902, 13068, 782, 11353, 593, 5800, 645, 692, 282, 19461, 1125, 5800, 589, 607, 3403, 585, 7735, 454, 15045, 26721, 815, 476, 272, 6902, 5590, 782, 20382, 593, 5800, 589, 607, 3403, 692, 10852, 31467, 912, 825, 6902, 6744, 952, 7735, 568, 20399, 454, 825, 536, 339, 325, 2675, 623, 3036, 14011, 267, 476, 271, 6902, 9779, 1449, 3758, 11578, 589, 267, 3787, 476, 271, 454, 825, 3893, 334, 1396, 318, 1194, 567, 6902, 1403, 7735, 568, 20399, 267, 7914, 547, 1412, 26569, 318, 1194, 262, 6003, 692, 825, 6902, 29502, 568, 711, 20399, 267, 7227, 585, 1985, 2638, 454, 825, 3893, 334, 1292, 31467, 692, 26569, 318, 1194, 912, 825, 6902, 8752, 909, 10896, 454, 825, 536, 338, 325, 623, 18306, 289, 267, 476, 271, 6902, 9779, 1305, 3758, 11578, 645, 267, 3787, 476, 271, 692, 825, 6902, 27016, 585, 3368, 513, 2034, 454, 825, 1940, 331, 342, 546, 262, 10219, 262, 6902, 20509, 3586, 1871, 540, 476, 10219, 883, 654, 3918, 294, 454, 825, 1940, 342, 325, 570, 17307, 271, 295, 6902, 8844, 9115, 540, 654, 3918, 294, 883, 1164, 31632, 540, 22245, 11578, 454, 825, 804, 337, 325, 570, 17307, 271, 299, 567, 6902, 13068, 1970, 31632, 540, 22245, 11578, 454, 825, 536, 22396, 5442, 12839, 2177, 267, 570, 271, 9281, 6902, 13068, 14443, 9206, 3787, 692, 342, 7159, 20189, 2788, 5913, 912, 825, 536, 339, 325, 1087, 5442, 12839, 2177, 267, 570, 271, 9281, 6902, 4530, 952, 942, 719, 14443, 7018, 454, 825, 3893, 334, 7227, 20189, 2788, 5913, 6902, 1403, 711, 267, 1832, 7996, 692, 825, 6902, 12414, 1055, 10896, 1310, 3368, 513, 2034, 454, 825, 536, 22396, 623, 18306, 289, 267, 476, 271, 6902, 9779, 2312, 3758, 11578, 645, 267, 3787, 476, 271, 692, 825, 6902, 27016, 1776, 3368, 513, 2034, 454, 825, 1940, 331, 342, 546, 262, 10219, 262, 6902, 20509, 3586, 1871, 540, 476, 10219, 883, 654, 3918, 294, 454, 825, 1940, 342, 325, 570, 17307, 271, 295, 6902, 8844, 9115, 540, 654, 3918, 294, 883, 1164, 31632, 540, 22245, 11578, 454, 825, 804, 337, 325, 570, 17307, 271, 299, 567, 6902, 13068, 1970, 31632, 540, 22245, 11578, 454, 825, 536, 22396, 5442, 12839, 2177, 267, 570, 271, 9281, 6902, 13068, 14443, 9206, 3787, 692, 342, 7159, 318, 534, 1278, 20189, 2788, 5913, 912, 825, 536, 339, 325, 1087, 5442, 12839, 2177, 267, 570, 271, 9281, 6902, 4530, 952, 942, 719, 14443, 7018, 454, 825, 3893, 334, 7227, 318, 534, 1278, 20189, 2788, 5913, 6902, 1403, 711, 267, 1832, 7996, 692, 825, 6902, 31230, 1394, 547, 4098, 543, 2638, 7735, 1533, 1586, 454, 825, 3893, 334, 1292, 31467, 454, 8199, 10673, 1405, 5855, 1932, 1454, 827, 519, 3877, 540, 713, 3009, 2943, 910, 649, 3513, 2736, 621, 1524, 1900, 676, 1900, 2429, 519, 1964, 540, 713, 1770, 269, 1280, 1631, 267, 1175, 5469, 602, 649, 2811, 1210, 930, 5432, 2035, 630, 19702, 1963, 267, 17787, 267, 2783, 1023, 264, 2059, 609, 1007, 3283, 630, 641, 13892, 12981, 267, 27861, 1040, 1635, 9256, 891, 2609, 267, 649, 2811, 2111, 547, 1711, 513, 2241, 1982, 602, 6104, 8460, 938, 3804, 540, 8654, 909, 606, 10896, 950, 513, 7735, 568, 20399, 780, 9961, 519, 14230, 540, 713, 1770, 267, 649, 3513, 2263, 1142, 2460, 540, 623, 2975, 29668, 518, 10198, 1893, 538, 3152, 1469, 269, 3245, 1565, 827, 3965, 3919, 547, 13215, 19585, 6898, 267, 649, 3513, 3382, 3388, 596, 991, 547, 917, 547, 1831, 21295, 538, 5752, 891, 3532, 2370, 13365, 269, 1924, 10544, 707, 5172, 1257, 9375, 267, 3595, 909, 707, 1646, 1604, 267, 543, 1205, 4712, 547, 7832, 593, 606, 3078, 3460, 883, 519, 1158, 540, 11251, 1949, 5752, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1278, 10104, 2419, 600, 776, 808, 309, 267, 623, 1301, 2917, 808, 299, 267, 15049, 560, 31298, 263, 476, 1220, 277, 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 ]
[ 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 8755, 2775, 454, 288, 269, 17066, 9075, 3330, 454, 289, 269, 17066, 20737, 3330, 454, 12585, 281, 589, 0, 9223, 281, 5808, 729, 9375, 540, 15328, 332, 641, 13457, 12139, 585, 476, 3953, 1296, 543, 5206, 519, 1433, 1412, 29189, 543, 519, 17266, 21756, 888, 12585, 281, 927, 523, 4556, 2917, 6960, 0, 9223, 281, 1548, 729, 519, 2012, 540, 808, 617, 773, 23340, 779, 1915, 538, 645, 1872, 1910, 5689, 821, 888, 12585, 281, 7381, 592, 1695, 0, 9223, 281, 12207, 6592, 519, 5662, 569, 2837, 693, 513, 4365, 6728, 585, 519, 3923, 540, 5147, 543, 1616, 547, 3533, 2268, 513, 7678, 936, 942, 538, 2837, 2242, 269, 6904, 540, 891, 12043, 1131, 581, 519, 1034, 3617, 6041, 540, 519, 2837, 1239, 547, 3533, 2268, 1022, 7678, 2496, 288, 269, 3046, 3113, 454, 289, 269, 1899, 3113, 454, 290, 269, 2650, 5750, 454, 291, 269, 1239, 3349, 454, 12585, 281, 1899, 3113, 0, 9223, 281, 13812, 8188, 6937, 689, 7226, 9552, 267, 5533, 267, 543, 824, 1480, 3527, 269, 4014, 7863, 7320, 949, 3100, 1932, 2182, 693, 2053, 267, 1256, 1507, 3527, 538, 707, 1378, 8378, 666, 948, 2149, 1082, 1114, 2831, 269, 3371, 616, 930, 4388, 593, 875, 547, 2149, 7320, 998, 1507, 3527, 269, 476, 272, 5861, 5273, 7320, 7874, 2127, 538, 707, 18147, 269, 1879, 3843, 547, 1118, 707, 4677, 811, 4190, 267, 596, 666, 3442, 2371, 602, 666, 1683, 1426, 543, 12062, 547, 5065, 7320, 269, 901, 786, 849, 948, 2759, 1524, 593, 5533, 269, 1656, 6177, 610, 10627, 8075, 547, 707, 13452, 610, 4677, 547, 4482, 543, 12062, 891, 2249, 269, 476, 273, 6993, 341, 1355, 31362, 519, 2067, 5117, 538, 707, 1858, 269, 2368, 2371, 689, 824, 4025, 666, 6146, 610, 2800, 5065, 2371, 602, 1683, 1426, 543, 12062, 585, 7320, 269, 476, 274, 269, 5970, 513, 22928, 6197, 269, 1635, 1210, 1447, 1216, 543, 7864, 10173, 267, 596, 786, 581, 4543, 547, 2149, 519, 7320, 1472, 596, 269, 6875, 21772, 610, 519, 1016, 3118, 950, 596, 666, 267, 2490, 1055, 3167, 3457, 950, 596, 2811, 711, 1210, 873, 267, 1491, 10156, 29636, 267, 543, 1832, 707, 4055, 2837, 693, 610, 2630, 476, 6924, 5232, 1282, 519, 5162, 269, 476, 275, 11065, 8500, 2472, 602, 616, 7320, 7874, 269, 5213, 1405, 4444, 2472, 602, 616, 1500, 689, 13155, 2831, 269, 5901, 538, 2247, 602, 930, 13155, 2831, 616, 7166, 676, 20637, 267, 29598, 610, 21962, 945, 616, 1310, 824, 7320, 1369, 519, 1482, 7226, 269, 476, 276, 6185, 517, 622, 2724, 610, 942, 547, 3906, 602, 2149, 7320, 543, 741, 9249, 269, 1411, 666, 2285, 2724, 547, 3906, 610, 2516, 602, 2149, 7320, 2249, 538, 707, 8378, 269, 769, 799, 3296, 540, 513, 11356, 1131, 596, 1034, 4440, 1224, 713, 8574, 888, 288, 269, 5113, 454, 289, 269, 9752, 454, 290, 269, 6355, 454, 291, 269, 17323, 454, 12585, 281, 589, 0, 9223, 281, 20999, 667, 650, 568, 513, 9649, 1851, 9649, 22481, 476, 25210, 269, 1261, 8057, 1158, 22299, 6802, 9469, 585, 2185, 1296, 4881, 267, 5228, 476, 3192, 280, 547, 476, 2735, 273, 267, 543, 14406, 10888, 519, 11359, 1032, 676, 1152, 476, 276, 6550, 269, 4653, 267, 1010, 667, 650, 9533, 27951, 5452, 616, 4421, 5001, 547, 811, 982, 476, 2004, 6079, 3549, 269, 634, 6802, 9469, 6738, 689, 1010, 667, 650, 9533, 27951, 5452, 4122, 9260, 538, 693, 936, 476, 272, 267, 1822, 6550, 269, 834, 296, 1810, 1405, 723, 1022, 2866, 538, 11976, 6902, 621, 729, 782, 4693, 543, 5470, 2437, 667, 650, 3081, 269, 1261, 3893, 1010, 2648, 540, 6802, 9469, 689, 1010, 4651, 543, 814, 10150, 3395, 873, 585, 1296, 269, 667, 650, 1869, 9428, 9649, 6802, 9469, 267, 855, 711, 585, 6735, 269, 769, 519, 2887, 267, 8436, 2097, 547, 2972, 519, 6802, 9469, 593, 1010, 476, 3445, 14092, 516, 3484, 538, 25429, 32108, 267, 4516, 269, 1261, 2371, 4557, 14143, 540, 6802, 9469, 585, 19343, 543, 1079, 14143, 540, 9649, 6802, 9469, 269, 2290, 540, 9649, 6802, 9469, 729, 5063, 19323, 883, 476, 4510, 273, 22481, 533, 625, 543, 4421, 693, 1269, 276, 1142, 585, 17493, 269, 898, 596, 1616, 547, 2119, 3395, 513, 9649, 22481, 267, 667, 650, 15565, 4358, 609, 513, 3037, 1449, 543, 1287, 4946, 13226, 476, 607, 2877, 269, 7233, 519, 9649, 22481, 6079, 269, 589, 9649, 22481, 666, 2744, 476, 1428, 547, 476, 736, 6550, 513, 1554, 267, 865, 6297, 14450, 734, 22336, 1554, 610, 1079, 734, 529, 2556, 269, 1411, 1058, 7227, 827, 476, 9873, 2395, 2394, 519, 22481, 1319, 999, 543, 1287, 596, 666, 7556, 621, 269, 667, 650, 781, 5172, 22481, 1305, 519, 2871, 514, 1145, 3883, 2594, 538, 476, 2735, 272, 269, 898, 22051, 476, 5392, 274, 269, 276, 6550, 269, 834, 296, 4312, 6738, 873, 3677, 2094, 267, 855, 602, 835, 5921, 513, 2603, 2437, 646, 1121, 20047, 269, 834, 296, 2760, 1131, 723, 16545, 4557, 1296, 3516, 602, 972, 1131, 581, 513, 476, 272, 267, 1822, 1790, 10133, 267, 855, 972, 616, 1082, 540, 873, 1631, 2437, 3081, 667, 650, 269, 634, 476, 1220, 277, 1158, 2594, 23649, 568, 32632, 6744, 517, 540, 12425, 269, 1261, 8057, 513, 476, 272, 267, 5379, 280, 533, 10133, 269, 667, 650, 3081, 267, 834, 4322, 1158, 23594, 616, 6738, 689, 1250, 5452, 267, 865, 594, 1745, 899, 513, 16771, 1318, 2059, 609, 873, 1701, 2290, 540, 667, 650, 781, 9649, 6802, 9469, 12236, 476, 9041, 476, 4586, 288, 269, 1269, 21854, 271, 454, 289, 269, 1269, 4510, 273, 454, 290, 269, 1269, 1911, 271, 454, 291, 269, 1269, 16409, 280, 454, 12585, 281, 589, 0, 9223, 281, 19743, 267, 8695, 543, 6690, 256, 589, 1007, 476, 631, 4821, 4558, 568, 538, 3143, 269, 476, 272, 5664, 3427, 1631, 269, 22067, 543, 1294, 693, 938, 1390, 9042, 256, 1284, 723, 3694, 585, 476, 274, 586, 10224, 269, 2473, 21628, 335, 807, 18701, 334, 5144, 7401, 568, 593, 9042, 585, 476, 273, 586, 10224, 269, 17164, 762, 554, 27304, 619, 616, 1152, 476, 274, 586, 10224, 269, 1684, 596, 991, 31940, 286, 1358, 616, 1152, 476, 277, 586, 10224, 585, 1614, 269, 1284, 849, 723, 23445, 538, 782, 4778, 267, 1152, 476, 272, 586, 10224, 1142, 1547, 2368, 1053, 1616, 547, 4444, 26852, 269, 1284, 723, 3109, 26852, 585, 1152, 476, 1015, 586, 10224, 585, 476, 274, 8424, 269, 1280, 6690, 267, 649, 723, 26852, 538, 11909, 543, 13711, 267, 789, 616, 1360, 8799, 269, 22067, 543, 4444, 707, 1919, 693, 938, 1390, 9042, 269, 901, 2376, 567, 568, 567, 9041, 476, 4586, 288, 269, 513, 4484, 454, 289, 269, 513, 5469, 454, 290, 269, 606, 552, 17733, 454, 291, 269, 606, 740, 454, 12585, 281, 667, 0, 9223, 281, 589, 476, 3451, 4458, 6040, 4775, 6799, 547, 519, 5604, 609, 519, 24255, 540, 5312, 23856, 1928, 602, 3459, 1310, 1352, 23384, 513, 1728, 560, 699, 551, 3912, 476, 277, 1109, 3000, 2195, 3516, 269, 11374, 513, 2168, 6514, 267, 513, 11632, 1109, 2675, 534, 540, 519, 10652, 6665, 568, 10288, 269, 2991, 519, 11571, 568, 2347, 267, 519, 10237, 6048, 7125, 547, 1867, 602, 519, 3461, 814, 513, 10551, 26703, 538, 1200, 10652, 6665, 269, 769, 513, 7766, 4731, 335, 15462, 9290, 267, 519, 27674, 858, 20964, 602, 519, 26703, 1223, 711, 723, 1044, 2451, 8259, 972, 729, 32226, 269, 634, 1034, 3617, 2165, 547, 2099, 519, 3656, 1523, 1045, 12097, 676, 519, 3461, 568, 454, 288, 269, 32097, 1609, 31463, 601, 454, 289, 269, 9938, 1493, 2014, 454, 290, 269, 759, 476, 2354, 320, 3138, 10181, 584, 454, 291, 269, 4431, 324, 520, 9120, 454, 12585, 281, 595, 0, 9223, 281, 966, 749, 4548, 895, 6799, 4317, 5940, 18728, 281, 4793, 6425, 543, 16890, 4721, 476, 279, 281, 876, 10681, 268, 280, 281, 1789, 10681, 16452, 543, 631, 843, 1042, 3816, 529, 10748, 3218, 1756, 630, 29423, 3218, 1756, 476, 14065, 1070, 7467, 540, 20963, 8551, 630, 300, 11902, 1070, 11785, 32402, 564, 22490, 631, 11902, 16840, 23526, 1269, 736, 269, 876, 6348, 332, 20047, 23526, 1269, 1839, 269, 876, 567, 11242, 634, 14266, 257, 12218, 5940, 18728, 281, 10656, 27006, 538, 519, 6520, 540, 3816, 25912, 339, 543, 21502, 17621, 257, 663, 519, 631, 11902, 4015, 1397, 1082, 5301, 602, 5159, 723, 2813, 1568, 4534, 585, 519, 1930, 2344, 267, 14547, 29123, 267, 3909, 3906, 267, 543, 10424, 862, 3827, 269, 8535, 814, 1044, 7768, 585, 891, 4128, 607, 1134, 269, 25826, 875, 5159, 1711, 741, 15999, 1568, 269, 3689, 267, 689, 14266, 1225, 1807, 476, 27050, 14269, 13391, 518, 267, 5873, 606, 7650, 540, 257, 12218, 5940, 18728, 2580, 606, 14266, 2966, 547, 5000, 2673, 3168, 693, 10367, 547, 5431, 10881, 11251, 567, 538, 519, 1568, 602, 3277, 547, 1514, 7584, 543, 4567, 269, 3973, 6432, 547, 4190, 1568, 585, 5569, 14415, 564, 676, 8830, 3250, 267, 20787, 691, 267, 543, 19258, 758, 269, 9669, 28678, 610, 556, 268, 18782, 1310, 519, 2680, 6238, 568, 711, 16798, 543, 786, 581, 693, 519, 24787, 540, 519, 2777, 9614, 269, 1677, 1931, 17914, 676, 6049, 267, 1289, 476, 272, 268, 8517, 268, 24496, 268, 7597, 278, 276, 282, 547, 1931, 538, 1268, 267, 3643, 1022, 631, 11902, 19044, 11380, 269, 1280, 1269, 276, 811, 267, 2972, 16798, 20031, 1756, 1530, 908, 538, 519, 1101, 1614, 9343, 540, 519, 2912, 3218, 1756, 269, 4340, 547, 519, 8574, 267, 519, 2534, 2882, 825, 4586, 288, 269, 513, 13447, 267, 606, 1148, 7071, 543, 513, 11000, 454, 289, 269, 513, 13447, 267, 606, 1148, 7071, 543, 606, 7650, 540, 2835, 454, 290, 269, 513, 13447, 267, 513, 11000, 543, 2792, 609, 519, 1225, 1807, 454, 291, 269, 513, 11000, 267, 606, 7650, 540, 2835, 543, 2792, 609, 519, 1225, 1807, 454, 12585, 281, 589, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 24053, 568, 606, 22660, 540, 26366, 996, 269, 24053, 568, 513, 1900, 15842, 750, 540, 5842, 5112, 269, 5808, 1197, 568, 513, 1900, 15842, 750, 540, 5842, 5112, 543, 606, 22660, 540, 26366, 996, 568, 849, 513, 3368, 1532, 549, 750, 540, 3223, 603, 269, 5228, 713, 5205, 281, 24053, 568, 513, 3368, 1532, 549, 750, 540, 3223, 603, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21604, 267, 513, 563, 7476, 1863, 6780, 948, 593, 13275, 12335, 781, 21604, 543, 20246, 281, 1404, 5758, 267, 6429, 5758, 543, 2079, 543, 3312, 1257, 267, 10530, 267, 3594, 267, 1915, 2079, 267, 543, 20947, 267, 2648, 267, 543, 513, 5728, 7365, 3196, 519, 1762, 5182, 2275, 1484, 539, 18798, 547, 1332, 909, 3533, 2443, 543, 12556, 3123, 873, 547, 3479, 11980, 538, 21817, 269, 9956, 28420, 2648, 538, 21604, 543, 20246, 538, 1082, 2081, 741, 2648, 568, 17814, 676, 2592, 540, 1769, 543, 4158, 543, 568, 5104, 868, 777, 2216, 1996, 2669, 267, 543, 646, 5036, 1985, 547, 21604, 543, 20246, 519, 2648, 2404, 609, 8289, 543, 23079, 538, 782, 267, 741, 2648, 568, 540, 1776, 1158, 519, 2648, 540, 21604, 543, 20246, 568, 17814, 607, 563, 2691, 835, 6411, 2390, 897, 1601, 531, 4664, 540, 1762, 267, 16420, 2648, 1510, 9266, 2219, 267, 9568, 23366, 14509, 922, 2212, 538, 267, 21604, 543, 20246, 267, 13275, 6799, 513, 2648, 798, 15701, 676, 513, 12699, 1920, 21535, 267, 835, 14495, 585, 5553, 267, 543, 11173, 547, 798, 865, 811, 7920, 569, 19727, 11712, 4664, 1291, 547, 25680, 269, 589, 5758, 540, 4798, 538, 13275, 12335, 781, 21604, 543, 20246, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 21604, 543, 20246, 543, 1018, 621, 1797, 3501, 585, 1035, 532, 3594, 267, 4255, 267, 543, 17118, 267, 607, 1134, 607, 585, 1603, 3992, 4566, 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 ]
[ 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 563, 30475, 281, 1948, 272, 560, 3446, 1965, 331, 3211, 258, 272, 560, 3446, 7792, 3211, 258, 272, 560, 3446, 7623, 2262, 3211, 258, 5320, 1920, 3211, 476, 272, 560, 3446, 258, 272, 560, 3446, 8289, 1913, 3211, 258, 4103, 19298, 585, 476, 272, 560, 17603, 28744, 762, 3211, 585, 476, 272, 560, 17603, 28744, 762, 3211, 585, 1101, 3446, 258, 5320, 1920, 3211, 585, 1101, 3446, 258, 4103, 19298, 585, 1101, 17603, 0, 5522, 582, 630, 3698, 6873, 264, 18140, 568, 519, 6896, 4806, 610, 5311, 540, 2621, 602, 1118, 909, 513, 1650, 269, 5272, 4729, 568, 1500, 909, 540, 513, 3126, 540, 13685, 602, 616, 1644, 547, 835, 1776, 563, 272, 269, 1401, 6570, 901, 2356, 4386, 693, 519, 4098, 540, 513, 2110, 1650, 269, 3371, 519, 3197, 616, 5189, 269, 1284, 849, 1451, 827, 519, 4259, 540, 519, 1650, 269, 4107, 11932, 267, 649, 616, 5189, 547, 519, 1292, 4655, 630, 10852, 1966, 1916, 273, 269, 29547, 11059, 901, 851, 540, 519, 1650, 5956, 547, 1020, 519, 4655, 4433, 1040, 589, 2679, 540, 1719, 610, 24457, 4386, 563, 274, 269, 29725, 1314, 901, 568, 519, 7432, 1448, 540, 519, 1650, 269, 15394, 519, 1292, 1915, 2501, 3068, 547, 3068, 609, 519, 1292, 4655, 269, 634, 1292, 1915, 786, 1689, 538, 930, 1259, 563, 275, 269, 12096, 532, 11059, 634, 3126, 540, 9910, 7526, 610, 2621, 602, 2049, 1310, 519, 6172, 1314, 563, 276, 269, 22375, 2353, 7526, 616, 17251, 269, 634, 968, 327, 1952, 1176, 2479, 1310, 892, 10678, 454, 21607, 1154, 898, 2353, 8625, 476, 272, 269, 1401, 6570, 910, 22073, 540, 519, 1650, 269, 476, 273, 269, 29547, 11059, 910, 10022, 540, 2621, 543, 7526, 602, 1291, 909, 547, 519, 6172, 1314, 269, 476, 274, 269, 29725, 1314, 910, 634, 7432, 1448, 540, 519, 1650, 1141, 519, 1292, 4655, 568, 1373, 5185, 968, 3650, 593, 892, 256, 15394, 2509, 519, 1439, 540, 519, 3209, 23995, 800, 476, 275, 269, 12096, 532, 11059, 910, 15638, 610, 7526, 602, 2049, 1310, 519, 6172, 1314, 269, 476, 276, 269, 22375, 910, 2353, 7526, 616, 17251, 256, 9452, 2501, 547, 606, 1439, 2336, 13142, 3030, 281, 5019, 6782, 626, 281, 634, 3844, 1915, 267, 2356, 519, 968, 16591, 18560, 892, 610, 968, 12516, 892, 4165, 6782, 626, 281, 589, 1915, 610, 3197, 602, 1796, 1996, 519, 16502, 282, 18545, 282, 15180, 454, 13142, 3030, 18471, 10886, 910, 9502, 281, 589, 1915, 538, 5708, 4171, 7209, 267, 3724, 3033, 267, 24500, 267, 543, 824, 2934, 616, 4628, 30431, 730, 676, 519, 2278, 269, 1411, 949, 581, 11842, 2507, 968, 1432, 1281, 30431, 730, 1611, 9495, 667, 5202, 730, 281, 27975, 569, 4330, 609, 1913, 18471, 3197, 616, 1419, 667, 312, 2793, 300, 2975, 256, 25674, 281, 513, 5339, 610, 10565, 1915, 945, 25457, 606, 1271, 6418, 1689, 267, 607, 513, 1689, 538, 7209, 610, 10182, 912, 13142, 3030, 25065, 16992, 281, 513, 1915, 538, 5708, 945, 568, 711, 4628, 30431, 730, 269, 25065, 3197, 616, 1419, 5254, 288, 12087, 853, 1738, 910, 513, 5339, 610, 10565, 1915, 945, 25457, 331, 8077, 610, 1100, 6418, 1689, 282, 513, 1915, 945, 1281, 711, 1332, 610, 1020, 563, 7617, 540, 519, 1739, 3197, 616, 281, 18471, 286, 25065, 286, 853, 1738, 286, 25674, 888, 1805, 1738, 286, 25065, 286, 18471, 286, 25674, 286, 20574, 7605, 525, 517, 6833, 787, 630, 289, 6929, 779, 3659, 264, 20574, 779, 3158, 20574, 779, 19033, 454, 18183, 12787, 18366, 281, 589, 6560, 1063, 15852, 4229, 267, 513, 1966, 609, 519, 21087, 626, 4762, 26555, 1369, 3332, 666, 581, 2901, 29206, 2793, 299, 610, 12327, 9898, 2793, 299, 454, 10048, 5288, 2494, 630, 31094, 5288, 12287, 264, 24498, 4655, 634, 1034, 3551, 1826, 540, 4655, 267, 8486, 1154, 519, 16502, 2047, 1996, 519, 21087, 626, 563, 10048, 5288, 269, 7186, 630, 31094, 5288, 269, 7186, 264, 24498, 18366, 901, 1826, 540, 4655, 29365, 513, 1650, 781, 1292, 1915, 610, 3197, 1996, 513, 2067, 3196, 971, 607, 513, 6360, 267, 2392, 2218, 3662, 267, 610, 2068, 15435, 563, 10048, 5288, 5980, 630, 31094, 5288, 5980, 264, 24498, 4655, 769, 1082, 2984, 267, 519, 16502, 12959, 606, 24407, 3693, 540, 2229, 610, 2528, 267, 610, 12959, 2486, 607, 513, 2898, 563, 10048, 5288, 269, 8682, 630, 31094, 5288, 269, 8682, 264, 2368, 5339, 7526, 1491, 519, 1106, 540, 513, 1915, 10010, 547, 7753, 4250, 267, 8213, 267, 3929, 3441, 610, 824, 524, 23774, 1782, 2123, 3390, 610, 519, 1915, 568, 10010, 547, 1118, 513, 3375, 269, 0, 15761, 2056, 1272, 12732, 1419, 3340, 1569, 547, 1426, 2200, 602, 786, 1489, 513, 1279, 1272, 269, 5029, 3359, 849, 991, 547, 11457, 519, 2702, 547, 1205, 998, 10709, 2053, 269, 18641, 630, 528, 19890, 952, 596, 616, 10010, 609, 2597, 2744, 1070, 1648, 689, 1426, 666, 581, 6740, 585, 2663, 946, 269, 1717, 267, 7429, 1648, 267, 942, 3112, 581, 6740, 269, 589, 5114, 547, 513, 2352, 1272, 2680, 267, 971, 607, 581, 516, 29713, 267, 666, 1118, 9441, 8171, 2362, 593, 519, 16786, 563, 3719, 835, 666, 968, 321, 8500, 892, 942, 1210, 17615, 2200, 269, 634, 1034, 32330, 1383, 568, 3170, 5160, 269, 4438, 5712, 540, 2825, 2566, 267, 3170, 666, 4688, 519, 1554, 267, 1312, 12777, 543, 19562, 8271, 269, 634, 3119, 3483, 540, 3170, 568, 547, 1683, 7103, 609, 519, 8112, 547, 1205, 998, 5712, 540, 17615, 19518, 269, 1924, 952, 3170, 568, 971, 513, 1390, 4199, 267, 1946, 18387, 1406, 2067, 5542, 8507, 538, 3425, 1373, 2706, 19339, 1399, 286, 769, 9759, 267, 621, 814, 1765, 11779, 540, 269, 634, 1699, 8377, 15435, 14753, 547, 938, 2702, 547, 3524, 6856, 3170, 950, 972, 568, 606, 11606, 540, 1426, 269, 32695, 827, 2790, 1072, 1101, 5351, 568, 513, 1434, 1900, 4464, 563, 4913, 267, 713, 949, 581, 606, 12105, 3209, 1399, 2094, 2348, 1896, 8536, 8477, 12446, 693, 707, 7450, 21163, 609, 519, 6071, 10296, 540, 513, 1906, 16181, 593, 513, 1591, 6049, 729, 711, 1455, 1282, 938, 4720, 269, 634, 4398, 609, 799, 938, 4703, 4558, 3170, 4679, 609, 2085, 267, 799, 594, 6557, 2386, 596, 3580, 3858, 568, 513, 8748, 3364, 269, 8786, 267, 594, 6557, 1373, 26878, 2880, 269, 5637, 2367, 543, 2021, 6336, 10709, 1560, 2527, 543, 11677, 811, 3170, 607, 789, 1205, 4587, 269, 1411, 1522, 711, 581, 6158, 827, 621, 267, 1317, 2790, 1072, 538, 519, 9036, 568, 1869, 513, 9184, 5622, 1641, 563, 2690, 1312, 2367, 543, 2021, 267, 13936, 811, 3170, 949, 2333, 12272, 11208, 693, 2663, 6502, 267, 855, 621, 666, 849, 2097, 609, 3790, 1644, 547, 9025, 1072, 269, 898, 568, 12691, 602, 606, 2333, 538, 28539, 13920, 609, 2085, 729, 519, 1267, 540, 2067, 5542, 2094, 8516, 693, 4587, 6502, 568, 3908, 267, 2523, 585, 2021, 936, 519, 2085, 540, 15823, 950, 519, 5506, 540, 10063, 1424, 568, 7168, 1454, 1875, 7721, 11962, 269, 1717, 267, 621, 568, 2009, 602, 1480, 9038, 723, 11573, 3042, 713, 2460, 540, 10172, 547, 741, 5413, 269, 1403, 28539, 13920, 4679, 2937, 6668, 267, 543, 519, 6668, 540, 4587, 2367, 543, 2021, 568, 2404, 609, 519, 6668, 540, 741, 1453, 610, 6264, 18244, 267, 1287, 972, 949, 581, 930, 5542, 547, 3870, 6905, 1272, 19104, 269, 1703, 616, 1507, 267, 2241, 3268, 596, 666, 1491, 547, 1118, 32162, 813, 1945, 602, 1004, 666, 2911, 827, 563, 3719, 1018, 568, 519, 1448, 540, 17005, 267, 2436, 609, 519, 948, 540, 811, 3170, 610, 711, 267, 952, 596, 3112, 16196, 286, 1280, 2021, 267, 22797, 2306, 12093, 7543, 269, 1717, 267, 2367, 798, 711, 10929, 22797, 269, 6969, 649, 666, 7038, 519, 7872, 540, 4587, 18971, 7700, 547, 519, 10137, 540, 1480, 1272, 21269, 267, 649, 991, 547, 3715, 2367, 779, 4390, 547, 3132, 1022, 1453, 547, 25483, 593, 741, 19704, 269, 0, 305, 727, 334, 1299, 19201, 19151, 543, 19201, 568, 835, 540, 9956, 781, 4249, 827, 13357, 269, 634, 13357, 729, 2854, 1063, 476, 14689, 272, 268, 14689, 276, 1296, 269, 10749, 593, 19151, 543, 19201, 968, 305, 727, 334, 543, 19201, 892, 568, 5261, 9956, 779, 4947, 6361, 21943, 11509, 13357, 538, 799, 1079, 5182, 2275, 1484, 539, 18798, 1491, 741, 2729, 269, 1323, 1557, 593, 19151, 543, 19201, 666, 7291, 513, 2647, 3099, 540, 4798, 543, 10741, 519, 7450, 585, 513, 2647, 2039, 540, 2565, 2079, 543, 2055, 269, 769, 519, 2749, 540, 7638, 7431, 267, 519, 3885, 8053, 6558, 543, 7167, 340, 2280, 616, 30347, 945, 16339, 1047, 1142, 824, 547, 741, 1360, 4295, 563, 763, 1292, 7972, 540, 19151, 543, 19201, 616, 4128, 540, 13357, 538, 7638, 7431, 267, 855, 789, 3142, 1007, 1931, 547, 519, 2749, 25015, 9916, 676, 634, 3703, 7732, 543, 9576, 9956, 7577, 269, 645, 8960, 891, 2152, 538, 2247, 267, 5635, 519, 7972, 540, 19151, 543, 19201, 267, 19151, 543, 30330, 583, 1470, 267, 543, 30330, 583, 1470, 543, 14977, 4472, 339, 563, 2108, 305, 727, 334, 543, 19201, 892, 568, 519, 1034, 25992, 13357, 2854, 676, 5261, 9956, 543, 519, 1034, 4583, 2648, 1650, 538, 1686, 269, 19151, 543, 19201, 676, 5261, 9956, 568, 513, 1404, 2854, 538, 519, 476, 1626, 628, 2540, 602, 779, 827, 513, 13249, 2648, 1650, 1063, 1079, 14038, 945, 2097, 689, 15180, 3885, 267, 2943, 12556, 6770, 873, 1927, 543, 5103, 519, 1989, 19276, 602, 1142, 1920, 6585, 585, 519, 824, 282, 789, 2887, 538, 2648, 269, 1284, 1810, 1406, 1191, 961, 3594, 610, 2119, 547, 1780, 1055, 3732, 3594, 607, 9042, 762, 2472, 269, 6271, 3844, 3390, 540, 19151, 543, 19201, 1557, 568, 606, 2856, 540, 1871, 543, 546, 7081, 269, 634, 1404, 814, 1082, 3197, 267, 1142, 609, 922, 1378, 1909, 538, 5329, 519, 4729, 1899, 269, 19151, 543, 19201, 4828, 4828, 12726, 269, 898, 568, 827, 1079, 18798, 945, 3479, 11980, 950, 741, 21535, 532, 1340, 650, 625, 2061, 873, 689, 1373, 1927, 563, 289, 650, 804, 15586, 9291, 804, 15586, 19151, 543, 19201, 281, 22569, 2044, 540, 11146, 19151, 543, 19201, 281, 22569, 2044, 540, 11146, 5261, 9956, 781, 1404, 267, 634, 3004, 3022, 344, 540, 19151, 543, 19201, 267, 568, 519, 1650, 540, 1079, 5182, 18084, 18798, 945, 1312, 2743, 513, 13249, 1439, 10611, 727, 334, 543, 19201, 568, 513, 13357, 282, 2705, 267, 519, 19621, 543, 12667, 6073, 538, 799, 9956, 22851, 519, 21951, 610, 5467, 1118, 713, 513, 4190, 1404, 269, 634, 4729, 540, 1650, 2982, 11141, 546, 7081, 269, 634, 1404, 10741, 609, 22063, 689, 1312, 8075, 7722, 538, 513, 8265, 2909, 342, 331, 602, 5555, 14405, 538, 519, 1920, 24663, 338, 543, 519, 2749, 8387, 267, 1519, 13584, 18521, 31647, 269, 19151, 543, 19201, 5749, 1406, 519, 1152, 3283, 945, 5747, 1317, 540, 2648, 2901, 269, 769, 19151, 543, 19201, 267, 799, 568, 811, 3532, 281, 12556, 610, 519, 3197, 685, 1378, 3527, 286, 769, 713, 1259, 267, 596, 786, 2328, 606, 1557, 827, 19151, 543, 19201, 3533, 563, 19365, 9956, 1705, 711, 946, 1010, 1378, 9345, 585, 2870, 713, 1603, 269, 1677, 1118, 707, 4661, 566, 811, 10388, 267, 596, 949, 1491, 1896, 5078, 10530, 689, 519, 1257, 3294, 543, 1331, 873, 883, 519, 1560, 9433, 2059, 609, 16367, 2079, 269, 7040, 569, 11146, 538, 19151, 543, 20246, 9664, 281, 476, 277, 630, 15433, 278, 1913, 264, 19151, 543, 19201, 23531, 9664, 281, 476, 275, 630, 280, 866, 1913, 264, 11146, 1772, 3502, 2349, 1170, 630, 305, 727, 334, 1299, 19201, 1341, 30777, 264, 589, 19080, 9664, 281, 476, 276, 630, 11277, 276, 1913, 264, 5811, 593, 24911, 639, 543, 901, 2041, 9664, 281, 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, 763, 25162, 585, 22759, 543, 9355, 267, 6766, 676, 519, 5767, 538, 2069, 1382, 269, 4595, 950, 621, 729, 1101, 5950, 267, 6154, 539, 2006, 779, 2160, 8212, 609, 7073, 8212, 476, 1691, 628, 7160, 630, 14457, 264, 814, 1044, 26060, 585, 922, 8561, 593, 4909, 3741, 543, 875, 547, 4019, 873, 269, 901, 1837, 568, 1634, 585, 922, 9488, 543, 2312, 2239, 267, 607, 1134, 607, 922, 19918, 2620, 267, 3376, 267, 543, 15826, 5036, 540, 5249, 1806, 602, 1683, 2852, 1053, 609, 1883, 2645, 585, 3384, 1312, 12497, 1620, 543, 1390, 1966, 9010, 1983, 563, 1765, 23011, 6154, 539, 2006, 779, 2160, 8212, 476, 1691, 324, 538, 8281, 762, 7300, 2443, 454, 763, 476, 1691, 628, 9990, 10607, 519, 10747, 2934, 540, 519, 552, 3667, 1504, 1247, 4946, 1007, 2934, 6766, 676, 2069, 1382, 547, 4001, 519, 1983, 2877, 676, 2221, 779, 2257, 1053, 269, 589, 1445, 593, 3308, 1565, 267, 1007, 1966, 2010, 267, 543, 27380, 5483, 676, 29923, 30125, 630, 338, 1245, 14384, 264, 27034, 2212, 1467, 519, 9283, 2966, 547, 1711, 519, 1655, 1565, 4199, 585, 6323, 1053, 563, 303, 2529, 1284, 849, 723, 519, 1449, 4871, 267, 3435, 8261, 543, 824, 2200, 540, 2160, 8212, 609, 7073, 8212, 476, 1691, 324, 585, 9042, 269, 13555, 721, 563, 303, 2529, 2529, 589, 18960, 4528, 630, 1428, 628, 7160, 264, 568, 849, 2139, 585, 9042, 269, 6423, 1644, 552, 9248, 2630, 563, 27237, 292, 281, 3143, 2228, 1569, 610, 9479, 616, 3769, 609, 713, 19545, 269, 8307, 6154, 539, 2006, 779, 2160, 8212, 476, 1691, 628, 7160, 7300, 568, 3769, 0, 763, 12948, 5823, 814, 1044, 6896, 896, 6042, 31827, 689, 513, 9576, 5463, 872, 538, 7316, 1281, 646, 979, 269, 1280, 2143, 4087, 5225, 3643, 519, 4972, 540, 4826, 8249, 1857, 11401, 5469, 2985, 269, 26337, 689, 713, 1974, 538, 3504, 3624, 543, 3127, 849, 2982, 2963, 540, 2724, 23831, 2534, 563, 8802, 626, 1674, 543, 25550, 16505, 9724, 476, 279, 281, 1284, 5781, 18973, 3549, 593, 1818, 4203, 29792, 267, 26399, 267, 610, 1373, 9715, 269, 6056, 3544, 519, 2816, 269, 634, 7813, 540, 4789, 729, 519, 1101, 547, 2253, 519, 8628, 3390, 540, 4871, 17084, 514, 1548, 666, 519, 1480, 3565, 563, 2690, 1082, 5049, 540, 6009, 267, 11608, 786, 3136, 547, 581, 4057, 4074, 31431, 269, 769, 5385, 585, 1142, 16005, 540, 10475, 4496, 267, 519, 575, 9529, 19431, 338, 9783, 2256, 328, 14186, 5909, 4328, 519, 7274, 543, 19454, 540, 519, 4496, 789, 4371, 607, 513, 22678, 850, 324, 6902, 891, 2256, 328, 14186, 1223, 711, 581, 8655, 267, 1152, 519, 3312, 7263, 3218, 1223, 2445, 519, 6740, 5370, 563, 1432, 1281, 646, 798, 585, 2486, 269, 30914, 3459, 609, 519, 1101, 18634, 8492, 540, 22278, 540, 519, 3504, 1158, 267, 799, 1500, 10286, 12029, 547, 6705, 543, 18318, 945, 5645, 5370, 1063, 4872, 543, 713, 1062, 568, 1634, 607, 513, 30550, 1062, 563, 24836, 706, 958, 519, 575, 9529, 19431, 338, 3459, 547, 22937, 519, 2724, 856, 593, 15773, 540, 519, 7263, 3218, 6518, 3366, 547, 519, 1646, 540, 2413, 12948, 2853, 282, 1596, 1170, 800, 4967, 799, 7960, 883, 4871, 17084, 941, 9783, 585, 2724, 20024, 607, 513, 10211, 547, 519, 575, 9529, 19431, 563, 1607, 3459, 1472, 7460, 538, 28435, 6319, 543, 9040, 2643, 8205, 563, 1103, 5385, 585, 1142, 16005, 540, 10475, 4496, 267, 519, 575, 9529, 19431, 338, 9783, 2256, 328, 14186, 5909, 4328, 519, 7274, 543, 19454, 540, 519, 4496, 789, 4371, 607, 513, 22678, 850, 324, 6902, 891, 2256, 328, 14186, 1223, 711, 581, 8655, 267, 1152, 519, 3312, 7263, 3218, 1223, 2445, 519, 6740, 5370, 563, 763, 2110, 2626, 568, 602, 952, 519, 2816, 568, 835, 1141, 602, 2243, 3112, 581, 12943, 9797, 267, 602, 2816, 568, 711, 2693, 547, 2291, 563, 7212, 713, 4214, 4667, 9764, 267, 621, 568, 2965, 6198, 267, 1317, 621, 5849, 602, 519, 3656, 4493, 585, 4871, 8852, 971, 607, 1750, 13196, 1281, 711, 4096, 593, 875, 519, 4871, 568, 11295, 610, 14931, 269, 1677, 581, 2386, 267, 713, 1895, 9027, 919, 602, 1082, 6009, 4867, 5340, 676, 3425, 786, 581, 15186, 3144, 936, 676, 11608, 610, 3059, 8069, 676, 2060, 922, 3060, 540, 13646, 2066, 519, 2136, 2276, 543, 538, 811, 982, 476, 4037, 2477, 267, 519, 772, 563, 7712, 519, 1596, 1170, 800, 4967, 941, 2628, 762, 593, 3747, 267, 543, 519, 8441, 12029, 547, 519, 575, 9529, 19431, 781, 5561, 941, 23231, 762, 936, 513, 3476, 942, 1974, 267, 713, 729, 606, 2038, 1106, 540, 27847, 15395, 12948, 563, 24730, 13195, 8547, 538, 693, 2637, 10394, 2005, 3315, 269, 10801, 1686, 267, 2029, 814, 1044, 513, 2816, 17082, 1765, 2254, 513, 2816, 6861, 518, 966, 842, 31762, 325, 267, 13030, 7022, 543, 8783, 5769, 27685, 626, 585, 5616, 267, 1767, 267, 834, 30399, 267, 2029, 814, 2813, 811, 6009, 982, 621, 30001, 543, 972, 568, 1100, 2601, 547, 1589, 6382, 538, 713, 2013, 563, 1103, 519, 1876, 5604, 267, 519, 804, 518, 802, 945, 1031, 547, 5965, 6602, 723, 1044, 8719, 676, 3301, 269, 634, 4308, 4564, 835, 540, 519, 4102, 2479, 10509, 4203, 29792, 538, 519, 19294, 2793, 3148, 563, 763, 2804, 1764, 540, 18951, 8441, 543, 3642, 1765, 20236, 28391, 6517, 267, 10995, 3059, 8069, 602, 666, 957, 585, 596, 267, 543, 11608, 616, 14027, 6385, 269, 1879, 3168, 693, 891, 8847, 621, 568, 1271, 547, 1832, 538, 2247, 602, 789, 616, 10747, 519, 1870, 540, 12948, 585, 519, 5301, 540, 519, 9086, 267, 543, 711, 8209, 538, 2489, 563, 2467, 786, 581, 513, 5318, 12761, 540, 4074, 936, 519, 1985, 8717, 269, 901, 814, 3366, 3656, 28466, 547, 2303, 602, 519, 1750, 4302, 1759, 4214, 1058, 581, 3376, 2989, 547, 1331, 2883, 5238, 602, 2932, 1699, 6589, 585, 5561, 543, 5512, 5561, 547, 2628, 543, 581, 6976, 676, 3791, 6105, 267, 1256, 952, 789, 798, 711, 2628, 543, 2445, 1750, 13196, 563, 26212, 547, 713, 267, 6004, 563, 293, 15903, 538, 294, 9448, 20180, 832, 568, 513, 3056, 4830, 5092, 12948, 28007, 6109, 5059, 593, 9972, 7400, 6791, 267, 1279, 2165, 3347, 543, 6662, 5583, 269, 589, 5741, 7797, 2201, 269, 589, 1788, 1353, 593, 968, 289, 3198, 32578, 11083, 670, 5263, 290, 645, 3198, 298, 700, 31813, 1848, 5769, 30914, 563, 2026, 649, 917, 621, 568, 1360, 1271, 585, 606, 4853, 4145, 547, 723, 3608, 543, 2500, 10986, 609, 1318, 2298, 543, 693, 1318, 942, 543, 693, 1318, 1747, 2139, 8164, 789, 616, 2877, 269, 5272, 3919, 2115, 9441, 942, 676, 942, 1317, 563, 763, 5020, 12860, 540, 513, 7169, 269, 769, 519, 2038, 2395, 540, 519, 1857, 4950, 267, 649, 5156, 602, 649, 941, 4543, 1628, 1945, 11207, 1007, 267, 513, 1158, 602, 1131, 4734, 3297, 519, 695, 871, 956, 540, 2085, 267, 540, 5198, 267, 540, 4008, 267, 540, 1362, 267, 1256, 540, 1876, 563, 290, 26822, 11633, 543, 9786, 14773, 1007, 7580, 11450, 547, 28196, 710, 519, 1158, 540, 4448, 4853, 6472, 589, 1007, 595, 26822, 11633, 6796, 24822, 25957, 267, 13324, 676, 9786, 10897, 675, 269, 20821, 12443, 321, 3780, 2659, 1152, 2823, 540, 1289, 547, 2123, 8804, 563, 17457, 6377, 8804, 568, 3478, 811, 12667, 267, 7294, 543, 3309, 269, 1284, 723, 547, 7048, 593, 513, 2039, 540, 2645, 543, 7426, 950, 4058, 267, 10115, 543, 5883, 938, 2883, 1272, 563, 288, 4871, 568, 513, 2883, 9872, 602, 24693, 12074, 689, 519, 1857, 543, 5932, 5491, 269, 700, 2056, 2238, 666, 581, 5340, 2901, 2047, 610, 18549, 998, 3854, 2511, 327, 1515, 24708, 1575, 916, 2593, 547, 741, 2956, 538, 519, 2883, 6617, 540, 513, 2197, 267, 8492, 616, 3810, 14931, 538, 1034, 2477, 563, 7197, 6082, 723, 12250, 1242, 513, 1062, 1634, 607, 27847, 15395, 12948, 1547, 763, 4950, 12948, 1788, 538, 4853, 0, 23991, 4915, 630, 30820, 1070, 19497, 1920, 2259, 630, 17025, 1070, 568, 513, 2564, 20614, 13991, 547, 3102, 1072, 1416, 585, 1004, 540, 782, 6502, 282, 519, 11285, 568, 3957, 513, 1920, 10629, 610, 1920, 4387, 269, 769, 2342, 519, 9015, 568, 1419, 5219, 547, 607, 2489, 2259, 543, 513, 19995, 607, 513, 2489, 2259, 4387, 610, 13382, 282, 713, 2012, 3746, 2478, 519, 11455, 2470, 540, 713, 2027, 640, 267, 607, 1134, 607, 922, 5072, 538, 519, 1920, 269, 7731, 2259, 568, 513, 6498, 540, 3119, 1416, 602, 2488, 11173, 543, 3102, 1072, 1416, 585, 519, 1367, 543, 1920, 2066, 782, 6502, 267, 25469, 267, 3676, 267, 543, 2694, 540, 519, 1560, 282, 1920, 13500, 616, 1419, 3119, 1416, 13500, 269, 898, 568, 1759, 593, 1702, 540, 519, 3461, 538, 519, 2796, 540, 519, 1920, 543, 519, 2146, 267, 10771, 2068, 6604, 543, 1072, 13319, 269, 4340, 547, 519, 2622, 9257, 540, 7731, 24930, 630, 310, 2177, 7563, 1070, 519, 2832, 540, 1920, 4915, 568, 547, 1683, 2123, 267, 3102, 267, 543, 11173, 1416, 585, 519, 1367, 538, 519, 2796, 540, 519, 1920, 543, 519, 2146, 269, 634, 2152, 540, 2418, 5817, 713, 2259, 616, 2356, 1634, 607, 3119, 1416, 7881, 563, 269, 634, 1565, 1299, 1620, 1184, 2760, 1044, 865, 2653, 899, 609, 938, 476, 276, 1353, 12331, 11251, 538, 713, 813, 563, 268, 8564, 707, 5172, 15460, 543, 1353, 4967, 543, 25035, 585, 2689, 519, 1034, 2352, 563, 268, 19415, 547, 519, 15460, 1247, 596, 616, 678, 27570, 267, 28185, 3101, 610, 6117, 563, 268, 5410, 707, 1378, 1353, 4967, 543, 6486, 543, 4688, 873, 538, 519, 813, 563, 268, 22478, 267, 9337, 610, 5372, 1022, 8755, 15258, 596, 632, 655, 2556, 563, 268, 5410, 707, 6085, 547, 1022, 8755, 15258, 1832, 7487, 873, 609, 563, 268, 901, 813, 2636, 596, 547, 4990, 519, 15460, 676, 5172, 267, 9206, 3022, 585, 2689, 267, 1378, 15460, 267, 4636, 15527, 17118, 267, 1875, 24713, 1221, 15460, 563, 268, 9612, 543, 4990, 676, 1888, 610, 20438, 519, 4540, 15460, 563, 268, 5192, 1394, 547, 707, 2063, 1353, 8400, 267, 4010, 547, 519, 2063, 8755, 15258, 6594, 1519, 519, 1353, 7154, 563, 268, 17949, 2947, 1353, 3525, 525, 630, 14048, 7154, 267, 30453, 7154, 267, 1449, 7154, 267, 15942, 6011, 7154, 543, 4351, 7154, 1916, 268, 5192, 519, 1034, 4359, 1239, 12642, 2934, 602, 9382, 707, 1353, 8400, 676, 1353, 7154, 267, 8464, 267, 942, 6170, 31756, 563, 268, 5192, 519, 1034, 22352, 29093, 630, 9225, 12125, 267, 3046, 12125, 267, 1899, 12125, 264, 543, 782, 519, 7194, 827, 707, 2090, 563, 268, 9523, 519, 1543, 540, 713, 813, 609, 707, 9164, 563, 268, 11929, 2921, 4052, 4388, 543, 15361, 602, 786, 948, 596, 8011, 707, 981, 543, 1205, 14222, 8464, 563, 10673, 1405, 5530, 10434, 518, 267, 5530, 15382, 2752, 9898, 2336, 4504, 18166, 634, 5985, 1565, 8924, 454, 12179, 821, 2052, 2422, 1677, 5192, 14568, 24110, 769, 454, 27832, 5384, 1656, 2060, 10815, 20306, 677, 910, 2871, 5875, 3975, 256, 0, 5575, 29594, 619, 10261, 7981, 9751, 547, 7435, 548, 5549, 6342, 12833, 6295, 667, 836, 2730, 12292, 454, 3528, 2353, 2581, 717, 269, 590, 269, 12928, 2135, 454, 6944, 1026, 12460, 267, 11581, 300, 6226, 652, 454, 25215, 1180, 532, 547, 1022, 476, 26605, 1289, 3340, 12570, 519, 6429, 585, 3106, 269, 769, 1082, 2665, 267, 513, 3510, 602, 1522, 7620, 2408, 547, 581, 2922, 10393, 13514, 513, 3099, 540, 6937, 563, 1103, 8585, 16582, 267, 21086, 267, 585, 1383, 267, 513, 476, 2641, 4458, 6040, 812, 729, 5063, 18486, 585, 2348, 8370, 3810, 9006, 10535, 15315, 538, 1010, 15896, 269, 17318, 14775, 547, 519, 6429, 6785, 602, 519, 1367, 22234, 519, 10363, 15315, 267, 855, 789, 1705, 711, 8275, 1175, 875, 14686, 513, 3463, 789, 15054, 563, 6097, 547, 654, 307, 26822, 538, 1715, 670, 13273, 267, 1079, 540, 519, 15315, 538, 519, 1367, 781, 15896, 941, 2907, 4666, 269, 1809, 513, 1200, 7065, 1108, 11285, 1185, 547, 2097, 538, 543, 4894, 519, 15315, 538, 513, 2922, 6073, 563, 301, 747, 15614, 4446, 32200, 267, 540, 519, 10960, 4354, 1807, 5753, 781, 7467, 538, 4639, 19134, 5112, 267, 5143, 519, 7641, 6728, 602, 952, 596, 1205, 3787, 676, 513, 20715, 13131, 267, 968, 527, 3085, 1405, 1491, 1279, 585, 596, 547, 5884, 3034, 763, 2013, 8711, 519, 1249, 602, 519, 1857, 3106, 2146, 2115, 7463, 2866, 547, 4308, 609, 3552, 2831, 269, 2755, 2665, 5473, 3810, 5906, 2831, 616, 5266, 4686, 267, 789, 19542, 513, 1769, 593, 606, 1858, 1141, 1857, 3106, 4648, 1223, 946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8365, 776, 1526, 4801, 1701, 16480, 267, 23636, 812, 568, 17212, 1386, 950, 2576, 945, 834, 5570, 1343, 14955, 3431, 257, 14340, 267, 607, 729, 2938, 950, 19167, 12844, 777, 27525, 1500, 1010, 5920, 538, 2342, 538, 519, 4098, 540, 519, 476, 1240, 628, 2540, 563, 3383, 1279, 607, 519, 1434, 540, 519, 23636, 568, 519, 1101, 7156, 540, 5837, 21520, 267, 834, 11004, 666, 581, 1100, 811, 13919, 540, 1412, 31371, 4011, 2648, 10086, 257, 715, 30964, 3081, 538, 8791, 476, 1001, 269, 634, 2648, 540, 835, 781, 7023, 538, 1022, 2486, 1590, 979, 1688, 2987, 11804, 609, 519, 4250, 540, 835, 781, 7023, 267, 799, 5932, 1007, 5837, 3024, 725, 269, 1548, 715, 30964, 1797, 568, 602, 538, 513, 24339, 5597, 2247, 539, 2486, 610, 23636, 267, 519, 1367, 568, 2141, 513, 3463, 547, 824, 2043, 8259, 1169, 1367, 23216, 547, 705, 728, 676, 519, 3652, 602, 723, 1044, 3964, 676, 519, 23636, 269, 3004, 1080, 971, 607, 29412, 267, 13055, 267, 543, 695, 4319, 323, 1145, 267, 5892, 16916, 547, 2149, 519, 2146, 1996, 922, 14763, 267, 1831, 1799, 7394, 267, 2094, 891, 7592, 616, 16613, 543, 666, 581, 1031, 1996, 824, 23636, 2818, 269, 3767, 6587, 11479, 616, 16916, 602, 3112, 10460, 513, 8594, 547, 519, 2146, 267, 2094, 4250, 3587, 834, 1492, 3993, 540, 26069, 257, 543, 519, 1034, 3810, 12595, 16023, 269, 3004, 1080, 971, 607, 834, 785, 8817, 17035, 257, 610, 834, 1492, 786, 547, 1796, 4805, 257, 2322, 513, 1268, 1657, 519, 23636, 543, 3976, 19531, 622, 519, 23636, 630, 663, 666, 10460, 513, 3463, 1040, 3502, 19599, 267, 2687, 547, 715, 30964, 891, 7907, 1831, 834, 5271, 559, 257, 7907, 269, 11531, 267, 18657, 4531, 640, 267, 538, 519, 1106, 540, 22347, 1170, 633, 267, 598, 14127, 2623, 267, 568, 28165, 563, 1103, 8791, 476, 1708, 715, 30964, 3081, 2342, 781, 13919, 568, 23636, 3662, 13919, 267, 835, 13919, 1851, 1082, 269, 901, 13919, 1223, 581, 16309, 676, 2362, 5837, 885, 267, 4352, 519, 1699, 13919, 17767, 9039, 855, 3294, 269, 769, 715, 30964, 781, 2070, 834, 1492, 11180, 3350, 568, 519, 25752, 540, 519, 4168, 3350, 2437, 799, 1596, 592, 326, 919, 519, 23636, 13919, 269, 715, 30964, 1362, 5809, 519, 29450, 1235, 543, 1514, 1235, 607, 851, 540, 519, 23636, 267, 15663, 602, 834, 517, 576, 782, 616, 3160, 18864, 2115, 1412, 23412, 262, 15042, 1701, 2353, 1614, 1765, 12047, 4531, 1846, 267, 29450, 1235, 267, 543, 1514, 1235, 1765, 3333, 732, 519, 834, 516, 5554, 542, 540, 533, 640, 257, 543, 21279, 2342, 609, 834, 320, 1007, 13221, 1701, 1358, 723, 5132, 834, 514, 519, 2146, 607, 519, 5260, 1640, 2437, 799, 1797, 789, 723, 5132, 538, 519, 23636, 563, 763, 2063, 3296, 267, 476, 10711, 267, 568, 513, 1289, 547, 834, 2908, 15806, 1701, 715, 30964, 7125, 547, 873, 547, 12954, 6587, 2418, 543, 4001, 1004, 602, 519, 2104, 540, 18495, 5673, 593, 1480, 786, 269, 634, 834, 3256, 514, 542, 540, 20060, 1619, 543, 8009, 602, 865, 2484, 814, 1044, 1572, 1412, 20931, 262, 257, 1590, 581, 2322, 11735, 269, 2859, 4481, 267, 715, 30964, 6499, 547, 12235, 1524, 23636, 13919, 543, 1294, 1863, 14326, 2097, 4464, 945, 786, 11349, 3401, 945, 666, 1491, 8103, 547, 513, 2362, 1377, 9789, 344, 786, 1711, 519, 2175, 585, 519, 2362, 812, 547, 10836, 269, 3571, 1445, 568, 711, 593, 1022, 3070, 267, 855, 593, 519, 1966, 646, 12034, 607, 519, 4493, 585, 1018, 646, 16339, 2478, 538, 2486, 269, 715, 30964, 781, 1148, 568, 538, 21006, 267, 711, 2870, 563, 1103, 713, 3184, 593, 519, 2067, 1686, 540, 26069, 267, 715, 30964, 26717, 6306, 513, 1297, 540, 1644, 16060, 607, 646, 16163, 525, 519, 4720, 540, 13919, 269, 1261, 786, 30603, 713, 4720, 538, 811, 3178, 538, 634, 2637, 7002, 9609, 540, 5651, 1023, 630, 6642, 278, 1070, 855, 1010, 1101, 7291, 540, 519, 1641, 5526, 1934, 269, 898, 568, 1271, 585, 519, 5467, 547, 3314, 602, 715, 30964, 568, 711, 1818, 1871, 21520, 538, 513, 6671, 1259, 12544, 1123, 782, 267, 519, 2140, 540, 713, 1433, 568, 15332, 6153, 543, 5345, 559, 269, 13298, 267, 646, 568, 16208, 519, 5013, 607, 646, 12034, 873, 282, 621, 2337, 952, 3988, 7618, 2933, 540, 602, 865, 602, 789, 666, 811, 5693, 2015, 2436, 789, 3858, 609, 1018, 646, 568, 6031, 563, 1607, 3296, 1011, 545, 919, 715, 30964, 781, 2093, 827, 23636, 13919, 267, 799, 7960, 689, 4168, 13919, 269, 1261, 786, 1865, 519, 15626, 812, 630, 17367, 264, 538, 519, 2063, 851, 540, 15332, 6153, 543, 5345, 559, 1765, 15367, 267, 585, 1864, 267, 568, 1454, 30074, 547, 519, 23636, 812, 269, 715, 30964, 3096, 513, 2186, 540, 695, 2180, 663, 585, 1018, 646, 12034, 607, 4487, 543, 10553, 13919, 269, 634, 3312, 18544, 538, 2342, 941, 519, 4936, 18211, 4531, 1846, 945, 1185, 2407, 9165, 547, 3635, 741, 786, 547, 1379, 269, 634, 10437, 941, 519, 31345, 543, 30201, 3176, 10271, 269, 1358, 6829, 741, 759, 338, 550, 2939, 12544, 5626, 1533, 540, 26793, 23998, 543, 679, 11803, 1765, 28785, 560, 741, 18544, 676, 31935, 789, 1131, 581, 30039, 538, 519, 1310, 5158, 585, 741, 16495, 1247, 741, 18544, 1131, 581, 27052, 269, 634, 4168, 759, 338, 550, 2939, 849, 20475, 3294, 607, 7805, 2648, 543, 17493, 585, 835, 781, 1727, 31395, 267, 606, 4082, 540, 3983, 5132, 630, 1506, 335, 4531, 19192, 1040, 16828, 267, 519, 10553, 13919, 4465, 936, 519, 4487, 13919, 607, 782, 540, 2342, 2968, 4168, 1242, 269, 1452, 616, 2093, 602, 666, 581, 1336, 538, 824, 1568, 676, 715, 30964, 543, 666, 948, 519, 5467, 607, 4282, 547, 1174, 713, 851, 563, 301, 30964, 5956, 3487, 476, 276, 676, 3181, 6064, 532, 519, 10206, 602, 972, 666, 581, 513, 7787, 5748, 585, 13919, 269, 634, 15806, 1354, 1864, 24714, 547, 1265, 7787, 4128, 585, 1946, 1004, 723, 5462, 930, 5615, 616, 1434, 543, 1866, 616, 3983, 269, 769, 2489, 267, 1480, 7919, 1745, 16022, 569, 602, 1004, 723, 17916, 610, 16022, 1702, 540, 13919, 267, 799, 715, 30964, 1705, 711, 3494, 269, 769, 811, 2487, 2053, 267, 3744, 723, 1336, 602, 1312, 10728, 543, 18756, 2623, 568, 17916, 538, 28516, 267, 1519, 3425, 267, 543, 602, 1256, 824, 2249, 630, 7945, 607, 5243, 264, 723, 606, 17916, 2631, 540, 14619, 269, 2755, 834, 2889, 1729, 2173, 528, 1275, 257, 610, 930, 2596, 2631, 540, 1318, 543, 4636, 949, 581, 17916, 267, 715, 30964, 568, 711, 4636, 547, 1589, 13919, 568, 3448, 267, 2016, 519, 2039, 540, 5615, 602, 723, 1044, 16363, 11807, 676, 1480, 7239, 269, 2060, 519, 4417, 540, 2257, 538, 519, 4639, 267, 15806, 1185, 8179, 547, 1683, 513, 834, 27023, 881, 257, 30343, 585, 5837, 3344, 540, 741, 24866, 602, 941, 9247, 3909, 2093, 269, 901, 568, 1946, 23006, 25395, 519, 834, 322, 1538, 5566, 16122, 2437, 799, 2488, 513, 7787, 2601, 585, 519, 4168, 2856, 547, 711, 2800, 1866, 269, 1809, 538, 715, 30964, 781, 2070, 713, 568, 1100, 811, 982, 513, 14882, 563, 3891, 7575, 593, 547, 2161, 602, 1169, 13919, 568, 513, 28112, 15967, 1996, 2470, 1317, 621, 791, 4680, 3652, 593, 1004, 781, 2067, 13141, 5209, 269, 2311, 519, 1482, 942, 267, 646, 4628, 26342, 519, 2956, 540, 13919, 269, 9453, 834, 5115, 878, 1190, 4031, 257, 972, 1131, 581, 1100, 7872, 540, 5191, 610, 17117, 1317, 1004, 945, 2661, 1927, 1590, 8209, 581, 18170, 676, 3652, 282, 1510, 873, 2486, 1131, 2887, 883, 14784, 543, 9552, 269, 4634, 593, 513, 2890, 7400, 267, 28112, 15967, 568, 2556, 11652, 715, 30964, 2306, 513, 11029, 6467, 2476, 689, 5837, 1876, 547, 519, 791, 3789, 540, 3652, 543, 2497, 538, 1010, 1383, 540, 1018, 5159, 798, 269, 20551, 1590, 23491, 4031, 267, 543, 538, 1249, 1004, 538, 12977, 1451, 519, 4356, 540, 24150, 267, 799, 2636, 585, 519, 5137, 540, 3388, 26656, 827, 1480, 2528, 31251, 519, 7592, 646, 2663, 607, 32606, 547, 519, 15626, 812, 269, 2201, 519, 824, 1688, 267, 513, 4356, 540, 24150, 5880, 1127, 519, 6891, 269, 2311, 519, 1439, 540, 713, 851, 540, 1010, 4901, 267, 715, 30964, 7140, 23006, 593, 1010, 2212, 267, 1566, 1456, 602, 1010, 834, 322, 1538, 5566, 16122, 257, 1058, 581, 8719, 609, 513, 834, 332, 7394, 16122, 2437, 799, 568, 606, 31007, 585, 8474, 2813, 676, 519, 4356, 540, 24150, 563, 300, 7394, 885, 1765, 301, 30964, 26342, 602, 972, 568, 811, 982, 835, 2186, 1765, 732, 849, 3730, 547, 5368, 538, 1004, 781, 18653, 267, 799, 616, 24218, 540, 786, 547, 1379, 543, 616, 1419, 5906, 547, 2933, 269, 1280, 1383, 267, 930, 1004, 723, 513, 6612, 585, 1426, 602, 267, 952, 2451, 31250, 267, 666, 6146, 873, 269, 715, 30964, 12034, 13919, 607, 3730, 267, 4352, 646, 3615, 547, 519, 1249, 602, 835, 1062, 540, 13919, 568, 13684, 593, 16764, 607, 14955, 6463, 269, 901, 14955, 6463, 13919, 666, 849, 581, 1572, 834, 615, 323, 13919, 2437, 543, 715, 30964, 3081, 1004, 781, 7287, 547, 581, 3366, 543, 547, 1246, 519, 23636, 568, 865, 2178, 1765, 327, 3058, 1044, 22541, 676, 519, 4356, 540, 24150, 20196, 1256, 3401, 1745, 16944, 827, 3056, 269, 1261, 29102, 602, 513, 23636, 1590, 2141, 723, 4971, 619, 267, 855, 519, 834, 615, 323, 15859, 257, 568, 1256, 538, 873, 267, 799, 568, 1946, 789, 723, 547, 2097, 909, 609, 2300, 4926, 585, 1946, 789, 723, 6074, 610, 723, 1044, 6074, 547, 1291, 269, 769, 715, 30964, 781, 2070, 267, 789, 1058, 991, 1100, 24134, 952, 789, 616, 1657, 519, 23636, 538, 930, 1259, 269, 1261, 849, 3081, 602, 519, 11180, 15859, 568, 513, 23636, 15859, 267, 2094, 621, 568, 2486, 781, 1259, 540, 12394, 547, 1205, 1472, 519, 13766, 540, 4971, 619, 269, 16480, 267, 519, 23636, 6497, 1275, 19329, 513, 2178, 6205, 267, 799, 568, 1946, 1004, 1745, 8323, 950, 812, 540, 2962, 3268, 4464, 27137, 607, 513, 19167, 11652, 3217, 5279, 540, 873, 563, 20751, 23636, 13919, 519, 23636, 6173, 919, 519, 21644, 540, 11587, 267, 8296, 267, 20208, 269, 6270, 21644, 11904, 1004, 20027, 865, 789, 3112, 10413, 1866, 267, 715, 30964, 13187, 267, 543, 28933, 2486, 610, 519, 23636, 269, 769, 1249, 267, 971, 13919, 1281, 711, 3895, 519, 4168, 2856, 540, 15962, 835, 781, 7023, 1317, 519, 23636, 13919, 568, 2965, 1759, 593, 4250, 540, 519, 824, 1765, 325, 792, 540, 519, 3441, 789, 666, 798, 269, 1703, 568, 513, 19433, 1934, 281, 593, 519, 835, 1688, 23636, 6497, 1275, 14014, 2043, 267, 855, 593, 519, 824, 267, 922, 3483, 568, 547, 2149, 519, 23636, 269, 715, 30964, 2798, 856, 513, 2034, 19433, 267, 799, 568, 602, 519, 21644, 26793, 676, 519, 23636, 27137, 607, 18174, 14551, 1465, 630, 323, 2130, 610, 1981, 23824, 1070, 9432, 2358, 6891, 630, 8181, 14306, 543, 5876, 1070, 543, 4739, 1465, 630, 1492, 2702, 547, 2054, 1125, 543, 3589, 28931, 732, 519, 1360, 7592, 602, 616, 2877, 547, 2149, 513, 2486, 689, 3544, 14763, 269, 4935, 267, 23636, 13919, 849, 13514, 513, 8594, 547, 519, 23636, 676, 1139, 7675, 1004, 781, 4550, 1606, 3469, 26756, 269, 2201, 519, 2898, 267, 23636, 13919, 543, 513, 23636, 6497, 1275, 8992, 18657, 4531, 640, 543, 29077, 543, 3568, 519, 5452, 585, 519, 10700, 9552, 540, 519, 23636, 269, 769, 715, 30964, 781, 2070, 23636, 13919, 568, 519, 1587, 540, 8567, 9789, 4984, 540, 533, 640, 30147, 646, 849, 1226, 919, 609, 513, 834, 2908, 13221, 257, 1765, 328, 4318, 1421, 5576, 13449, 327, 21516, 1014, 6138, 269, 1261, 7125, 585, 15806, 543, 1863, 14326, 547, 12954, 6587, 2418, 9789, 14713, 540, 4487, 13919, 543, 519, 15626, 812, 30147, 568, 2556, 585, 3001, 8103, 547, 513, 2362, 1377, 267, 538, 1010, 2070, 269, 0, 307, 2297, 540, 30542, 13709, 1601, 807, 267, 519, 31302, 2702, 547, 1224, 267, 547, 2328, 267, 547, 3717, 267, 610, 547, 1174, 513, 4914, 1893, 267, 723, 1279, 26970, 9458, 269, 12344, 1034, 2442, 538, 4168, 3909, 3332, 267, 891, 2984, 8661, 519, 2144, 2084, 540, 782, 10409, 3604, 543, 519, 5137, 540, 9962, 5289, 2950, 269, 634, 6589, 540, 14393, 31397, 1893, 11601, 602, 7902, 538, 519, 6426, 6273, 2147, 6589, 538, 519, 5664, 12698, 269, 9282, 10120, 30542, 13709, 1601, 545, 28986, 723, 741, 8129, 538, 1346, 13400, 2984, 267, 519, 10120, 6386, 723, 811, 1950, 6286, 269, 769, 834, 763, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 340, 295, 321, 9915, 300, 333, 297, 344, 14011, 274, 301, 344, 270, 271, 329, 312, 307, 320, 275, 12195, 569, 274, 289, 272, 323, 312, 310, 303, 329, 342, 266, 273, 321, 301, 330, 7563, 275, 302, 756, 309, 337, 272, 3036, 298, 297, 289, 294, 341, 310, 337, 5456, 305, 330, 27184, 294, 329, 343, 278, 18199, 276, 9654, 334, 276, 2171, 274, 342, 343, 14110, 302, 336, 330, 335, 336, 321, 1460, 334, 271, 9346, 301, 310, 336, 272, 311, 340, 4916, 7704, 306, 304, 339, 280, 326, 266, 309, 279, 7582, 329, 307, 6635, 331, 17734, 299, 323, 341, 311, 270, 3960, 3960, 279, 293, 295, 329, 300, 271, 301, 21587, 341, 341, 270, 266, 302, 336, 309, 4002, 517, 311, 337, 272, 329, 327, 279, 266, 18449, 297, 277, 604, 26214, 280, 337, 277, 340, 2260, 10030, 3066, 296, 335, 309, 298, 338, 311, 2125, 310, 18357, 274, 311, 312, 294, 309, 326, 343, 305, 297, 307, 5400, 8248, 11721, 5060, 324, 274, 23336, 270, 8461, 291, 345, 279, 334, 313, 304, 275, 328, 309, 310, 291, 342, 297, 328, 298, 339, 4206, 2125, 310, 6798, 276, 340, 311, 1015, 342, 5379, 527, 335, 341, 330, 7597, 8967, 2750, 312, 339, 310, 334, 22296, 311, 2125, 328, 16775, 12639, 341, 7251, 295, 329, 305, 334, 17025, 345, 279, 11721, 13048, 13585, 270, 9857, 340, 10030, 304, 332, 276, 339, 321, 276, 291, 331, 8379, 276, 310, 310, 275, 290, 271, 296, 2704, 879, 311, 296, 330, 297, 292, 344, 321, 326, 276, 300, 332, 307, 277, 301, 2767, 339, 280, 299, 333, 21254, 312, 273, 343, 758, 307, 297, 278, 289, 345, 31746, 338, 2767, 313, 301, 277, 325, 17307, 298, 304, 7495, 301, 343, 293, 1440, 304, 279, 339, 296, 10774, 325, 343, 304, 274, 324, 4696, 289, 7597, 294, 329, 6187, 339, 8085, 303, 311, 341, 273, 27184, 313, 310, 272, 20692, 303, 340, 278, 328, 4510, 12195, 569, 278, 1506, 276, 304, 336, 279, 341, 299, 344, 304, 330, 297, 289, 304, 337, 295, 331, 3674, 276, 306, 294, 275, 297, 273, 307, 330, 275, 302, 341, 341, 17383, 298, 340, 274, 325, 341, 305, 333, 327, 275, 302, 13825, 272, 320, 277, 599, 340, 1805, 309, 336, 334, 4306, 297, 6021, 328, 272, 336, 343, 313, 279, 303, 325, 274, 309, 280, 332, 279, 6020, 337, 290, 275, 292, 272, 11246, 583, 329, 301, 272, 321, 332, 298, 271, 333, 342, 22517, 5141, 306, 276, 325, 290, 273, 1729, 320, 296, 271, 324, 302, 27798, 291, 325, 659, 310, 298, 293, 311, 295, 336, 272, 290, 332, 271, 320, 301, 4488, 345, 313, 334, 272, 342, 277, 309, 299, 331, 275, 334, 280, 293, 273, 330, 294, 321, 304, 270, 5674, 322, 333, 297, 330, 292, 336, 548, 15771, 328, 289, 322, 277, 325, 303, 342, 9032, 324, 274, 340, 309, 1556, 290, 278, 323, 332, 271, 322, 15771, 326, 304, 326, 342, 312, 301, 342, 337, 309, 337, 1556, 304, 266, 303, 272, 293, 297, 300, 32074, 307, 330, 309, 313, 277, 18025, 326, 343, 271, 339, 11862, 271, 298, 17668, 326, 4366, 324, 308, 280, 299, 6588, 302, 329, 326, 2004, 278, 11276, 296, 277, 302, 15590, 345, 6812, 2260, 275, 291, 294, 277, 584, 335, 312, 8243, 306, 297, 325, 291, 274, 714, 313, 338, 4343, 266, 312, 342, 24248, 301, 342, 25629, 277, 17764, 335, 889, 332, 276, 334, 273, 6369, 327, 329, 327, 5392, 5141, 18199, 308, 280, 293, 336, 611, 310, 336, 293, 323, 822, 311, 275, 270, 340, 274, 321, 341, 329, 273, 321, 301, 2254, 309, 29669, 293, 304, 300, 274, 330, 306, 9383, 304, 32177, 340, 291, 335, 277, 325, 333, 297, 272, 306, 309, 298, 26364, 342, 289, 342, 300, 329, 2975, 9288, 15121, 322, 302, 340, 311, 321, 17703, 312, 279, 324, 302, 329, 343, 278, 311, 338, 273, 323, 303, 311, 299, 327, 342, 288, 310, 341, 310, 337, 300, 294, 18958, 3607, 297, 339, 273, 270, 4148, 332, 515, 308, 330, 21669, 26364, 345, 303, 333, 345, 266, 303, 2993, 272, 321, 312, 341, 299, 5652, 309, 328, 280, 324, 329, 309, 271, 323, 18958, 14566, 3913, 280, 266, 270, 325, 295, 331, 5141, 307, 271, 298, 309, 299, 293, 277, 20597, 335, 296, 24863, 291, 331, 294, 327, 300, 32074, 307, 330, 309, 321, 277, 311, 297, 338, 13825, 297, 329, 326, 291, 304, 289, 310, 309, 331, 321, 342, 280, 325, 311, 293, 329, 289, 330, 345, 322, 303, 2125, 273, 312, 279, 324, 309, 277, 339, 310, 299, 7838, 2207, 7563, 345, 300, 343, 302, 339, 310, 337, 311, 290, 5652, 323, 4916, 329, 342, 274, 336, 305, 19049, 291, 301, 6858, 706, 272, 290, 333, 345, 6795, 338, 25897, 8461, 578, 321, 301, 5881, 2675, 326, 336, 312, 4002, 308, 336, 273, 337, 309, 9071, 345, 6795, 266, 328, 288, 278, 302, 272, 341, 2675, 690, 266, 328, 279, 294, 6798, 299, 4629, 311, 331, 275, 14162, 335, 342, 276, 334, 278, 299, 326, 291, 304, 289, 15433, 321, 293, 341, 333, 4391, 275, 8008, 329, 326, 278, 339, 32699, 3583, 302, 13696, 15288, 266, 345, 706, 343, 323, 291, 327, 326, 343, 289, 1460, 312, 339, 322, 7468, 271, 320, 312, 311, 21587, 266, 2129, 21587, 15709, 320, 275, 298, 274, 12839, 321, 291, 274, 299, 331, 345, 300, 311, 14673, 311, 297, 342, 280, 1410, 313, 324, 311, 331, 276, 559, 270, 304, 324, 328, 4785, 290, 311, 23841, 289, 320, 26241, 326, 272, 1695, 307, 25975, 292, 329, 339, 300, 311, 326, 307, 330, 6767, 297, 11340, 290, 276, 322, 336, 309, 312, 310, 301, 329, 6434, 333, 329, 293, 289, 332, 279, 288, 320, 289, 280, 266, 270, 313, 312, 338, 310, 9281, 684, 23336, 266, 16435, 309, 12839, 304, 17092, 320, 313, 300, 332, 312, 2839, 289, 342, 276, 326, 343, 296, 326, 305, 266, 15771, 295, 20812, 28566, 344, 305, 305, 310, 289, 275, 331, 295, 310, 4792, 275, 341, 29876, 293, 326, 300, 8461, 330, 305, 326, 312, 24922, 342, 279, 24520, 341, 3374, 280, 338, 308, 341, 277, 298, 293, 272, 323, 311, 14162, 313, 1873, 325, 4391, 280, 26260, 341, 295, 333, 345, 343, 290, 277, 295, 277, 297, 300, 312, 341, 296, 331, 296, 277, 343, 10712, 345, 304, 304, 3201, 290, 271, 339, 330, 313, 16775, 582, 9573, 336, 296, 322, 7582, 275, 321, 289, 326, 342, 325, 291, 3066, 341, 278, 338, 3451, 322, 321, 323, 336, 271, 304, 23623, 308, 17025, 345, 279, 270, 10998, 345, 313, 271, 270, 273, 336, 310, 334, 289, 321, 304, 16660, 299, 272, 10030, 6020, 322, 15121, 304, 8150, 313, 10436, 322, 304, 320, 309, 298, 331, 4785, 340, 277, 13048, 298, 2993, 273, 299, 4366, 324, 303, 312, 279, 266, 324, 303, 10972, 344, 313, 312, 341, 312, 276, 305, 289, 280, 293, 8379, 274, 11246, 30113, 345, 8287, 325, 333, 308, 280, 311, 309, 343, 324, 310, 331, 335, 313, 275, 266, 325, 298, 331, 5226, 325, 270, 275, 312, 22396, 20084, 7582, 291, 304, 23424, 302, 341, 306, 345, 309, 278, 297, 339, 321, 310, 271, 305, 295, 3528, 300, 27942, 310, 337, 9749, 311, 293, 6630, 323, 341, 274, 331, 305, 334, 17442, 305, 600, 327, 6924, 321, 280, 2918, 29669, 323, 311, 309, 274, 327, 277, 655, 10861, 333, 329, 271, 325, 274, 311, 343, 298, 295, 309, 331, 313, 2171, 295, 5652, 313, 302, 312, 300, 273, 322, 5588, 335, 6187, 297, 311, 312, 276, 305, 289, 27582, 275, 292, 272, 11246, 340, 311, 301, 332, 2763, 275, 5271, 308, 336, 310, 337, 706, 311, 1690, 329, 293, 323, 272, 340, 13510, 345, 321, 306, 337, 297, 14065, 321, 2750, 279, 323, 329, 272, 336, 343, 313, 333, 345, 274, 1168, 7246, 288, 7597, 520, 342, 270, 345, 6812, 280, 294, 327, 304, 342, 12028, 273, 321, 26822, 1993, 310, 304, 698, 328, 10870, 26822, 289, 266, 270, 307, 335, 271, 266, 329, 304, 334, 304, 300, 310, 299, 569, 296, 327, 17988, 311, 325, 333, 297, 293, 296, 295, 309, 309, 336, 272, 312, 339, 8461, 6812, 12283, 8104, 19699, 295, 309, 336, 272, 325, 14566, 1993, 334, 303, 313, 337, 274, 337, 275, 336, 296, 277, 289, 8016, 326, 275, 11266, 758, 8085, 331, 290, 272, 23336, 331, 291, 295, 298, 344, 301, 275, 288, 271, 290, 313, 300, 332, 311, 342, 15886, 270, 4366, 328, 6020, 280, 328, 279, 324, 311, 17764, 30795, 330, 279, 324, 291, 3722, 288, 342, 300, 343, 321, 280, 4366, 307, 297, 4366, 28566, 330, 276, 302, 304, 336, 12858, 276, 304, 333, 8976, 271, 323, 289, 326, 312, 294, 13270, 304, 271, 14566, 340, 308, 2005, 340, 275, 322, 306, 8104, 11403, 8243, 291, 7830, 1794, 301, 274, 323, 295, 313, 338, 273, 321, 8085, 4391, 339, 271, 305, 2750, 300, 329, 323, 329, 331, 292, 6630, 289, 275, 292, 276, 293, 310, 298, 310, 344, 321, 4306, 276, 331, 289, 310, 279, 288, 336, 293, 2419, 2304, 343, 280, 325, 307, 293, 341, 274, 337, 343, 290, 321, 273, 7933, 336, 25539, 329, 3918, 313, 294, 275, 339, 294, 329, 305, 273, 329, 325, 31918, 274, 306, 2967, 303, 293, 5400, 306, 337, 274, 311, 331, 276, 324, 313, 4445, 313, 304, 337, 310, 337, 293, 332, 291, 271, 301, 289, 304, 339, 26364, 309, 306, 8500, 306, 293, 298, 297, 303, 333, 345, 278, 5392, 1777, 341, 1075, 312, 274, 336, 305, 271, 294, 2421, 11862, 298, 334, 310, 280, 338, 307, 298, 325, 27770, 300, 274, 23177, 338, 29949, 300, 8461, 343, 278, 292, 275, 300, 294, 17584, 10844, 11486, 310, 293, 327, 8615, 26822, 329, 277, 297, 307, 335, 4962, 334, 272, 336, 342, 313, 345, 335, 279, 29265, 278, 307, 277, 306, 4047, 271, 299, 311, 514, 11985, 2662, 305, 4366, 15710, 295, 333, 345, 297, 338, 9448, 342, 331, 290, 329, 305, 326, 273, 343, 306, 272, 298, 984, 278, 4037, 289, 335, 277, 523, 340, 329, 309, 336, 343, 324, 903, 337, 4041, 299, 665, 8656, 8379, 274, 11246, 332, 305, 332, 297, 326, 312, 297, 290, 322, 7224, 272, 294, 329, 305, 334, 308, 266, 305, 280, 333, 289, 294, 10774, 274, 324, 266, 338, 272, 320, 280, 698, 310, 278, 706, 327, 313, 276, 28384, 271, 322, 295, 279, 17070, 301, 342, 276, 312, 339, 310, 280, 290, 274, 321, 272, 266, 338, 310, 321, 8104, 1314, 306, 337, 5495, 271, 298, 274, 338, 266, 324, 303, 308, 7775, 309, 336, 272, 326, 312, 273, 7495, 308, 277, 323, 302, 342, 322, 9448, 5226, 344, 20228, 10498, 25699, 3607, 2419, 312, 308, 15709, 334, 275, 1097, 311, 279, 9706, 289, 312, 312, 341, 296, 331, 296, 1177, 304, 292, 289, 13270, 291, 342, 277, 301, 2562, 275, 310, 335, 28808, 291, 342, 289, 323, 742, 296, 16281, 334, 271, 324, 16660, 11721, 8500, 300, 329, 31082, 11266, 276, 333, 307, 339, 274, 305, 331, 327, 312, 21923, 313, 341, 24833, 289, 326, 342, 312, 309, 277, 309, 343, 20784, 308, 271, 297, 274, 335, 16165, 330, 311, 289, 272, 26501, 310, 304, 296, 308, 302, 933, 325, 301, 332, 277, 302, 341, 686, 1321, 306, 271, 340, 329, 336, 277, 332, 299, 4391, 339, 14983, 302, 326, 305, 276, 1910, 313, 296, 274, 312, 276, 6938, 2763, 305, 298, 304, 280, 18025, 4375, 328, 280, 307, 325, 291, 6558, 4338, 288, 15886, 10768, 342, 312, 7582, 332, 291, 326, 342, 296, 26980, 344, 279, 338, 337, 280, 295, 330, 7495, 326, 5038, 324, 14154, 328, 6395, 342, 300, 275, 7775, 336, 514, 270, 10030, 308, 324, 297, 309, 309, 297, 343, 320, 8085, 342, 303, 333, 345, 275, 7876, 335, 6187, 312, 299, 15433, 323, 329, 273, 337, 305, 335, 330, 292, 326, 330, 312, 701, 330, 323, 292, 313, 16165, 329, 327, 2767, 289, 329, 29344, 280, 325, 277, 289, 644, 328, 313, 306, 293, 342, 313, 340, 2005, 292, 297, 324, 311, 327, 277, 290, 2998, 298, 298, 272, 301, 279, 301, 336, 291, 313, 275, 306, 344, 304, 306, 18025, 6277, 321, 271, 327, 8976, 279, 324, 271, 611, 10498, 323, 298, 277, 305, 330, 305, 294, 273, 321, 706, 294, 10135, 300, 15879, 294, 311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 275, 267, 271, 316, 1923, 1535, 314, 273, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 274, 21726, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 274, 21726, 316, 1299, 1535, 314, 273, 267, 275, 21726, 316, 1299, 1535, 314, 274, 267, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 275, 21726, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 267, 258, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 258, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 267, 271, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 271, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 21726, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 21726, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 267, 258, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 258, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 267, 271, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 271, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 21726, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 21726, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 21726, 316, 1299, 1535, 314, 273, 267, 275, 267, 258, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 258, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 21726, 316, 1299, 1535, 314, 273, 267, 275, 267, 271, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 271, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 21726, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 21726, 316, 1299, 1535, 314, 273, 267, 275, 21726, 316, 1299, 1535, 314, 274, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 21726, 316, 1923, 1535, 314, 273, 267, 273, 267, 258, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 258, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 271, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 271, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 258, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 258, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 271, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 271, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 258, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 258, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 271, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 271, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 336, 273, 316, 1299, 1535, 314, 274, 267, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 21726, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 258, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 258, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 23100, 316, 1923, 1535, 314, 273, 267, 273, 267, 271, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 271, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 23100, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 23100, 316, 1923, 1535, 314, 273, 267, 273, 21726, 316, 1299, 1535, 314, 273, 267, 274, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 21726, 316, 1299, 1535, 314, 274, 267, 274, 267, 318, 316, 1299, 1535, 314, 274, 267, 275, 267, 23100, 316, 1923, 1535, 314, 273, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 267, 271, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 267, 23100, 316, 1299, 1535, 314, 274, 267, 275, 267, 271, 316, 1923, 1535, 314, 273, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 267, 23100, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 336, 273, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 21726, 316, 1299, 1535, 314, 274, 267, 273, 267, 318, 316, 1299, 1535, 314, 274, 267, 274, 267, 23100, 316, 1299, 1535, 314, 274, 267, 275, 21726, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 267, 258, 316, 1299, 1535, 314, 274, 267, 273, 267, 23100, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 258, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 267, 271, 316, 1299, 1535, 314, 274, 267, 273, 267, 23100, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 271, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 267, 318, 316, 1299, 1535, 314, 274, 267, 273, 267, 23100, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 267, 318, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 271, 316, 1299, 1535, 314, 273, 267, 275, 21726, 316, 1299, 1535, 314, 274, 267, 273, 267, 23100, 316, 1299, 1535, 314, 274, 267, 274, 267, 271, 316, 1299, 1535, 314, 274, 267, 275, 21726, 316, 1923, 1535, 314, 273, 267, 273, 267, 318, 316, 1299, 1535, 314, 273, 267, 274, 267, 318, 316, 1299, 1535, 314, 273, 267, 275, 267, 258, 316, 1299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 875, 891, 2825, 2188, 3310, 519, 8244, 543, 5542, 540, 5820, 1031, 538, 1325, 2532, 534, 19069, 11951, 780, 6637, 476, 275, 281, 12655, 13756, 543, 1280, 1645, 538, 7073, 1325, 2532, 534, 18181, 692, 1103, 2487, 1296, 267, 972, 814, 1044, 2799, 8561, 593, 6940, 1369, 519, 1426, 2872, 267, 20872, 1082, 1325, 2532, 534, 22730, 547, 9772, 10357, 7888, 2853, 538, 741, 6539, 29353, 269, 1635, 9001, 12725, 21433, 267, 5214, 3132, 282, 4227, 3653, 998, 3860, 10624, 4058, 282, 543, 5009, 519, 946, 540, 896, 583, 28895, 3165, 2249, 267, 891, 11477, 4648, 11441, 547, 7413, 741, 8733, 11640, 1247, 8195, 15386, 519, 11108, 2298, 540, 1325, 2532, 534, 5820, 269, 5015, 267, 25061, 4249, 606, 1898, 1909, 538, 1325, 2532, 534, 19069, 11951, 267, 609, 22730, 1419, 16276, 3552, 11922, 267, 17228, 267, 543, 17580, 5810, 547, 6451, 883, 741, 8286, 780, 6637, 476, 276, 281, 27748, 545, 2598, 1127, 543, 4469, 2948, 4515, 3796, 538, 1325, 2532, 534, 8187, 15227, 28690, 692, 1607, 3184, 6212, 593, 1896, 30118, 1738, 8286, 602, 5581, 1325, 2532, 534, 19069, 11951, 267, 1519, 13687, 669, 32535, 267, 4622, 26029, 7953, 267, 556, 785, 17621, 30725, 720, 267, 543, 513, 330, 25917, 336, 630, 292, 12921, 24982, 4672, 8645, 1040, 3962, 8670, 8711, 1808, 8137, 12632, 8984, 540, 519, 3148, 267, 971, 607, 15137, 1465, 689, 3595, 268, 549, 16556, 13687, 267, 1490, 514, 1465, 689, 28448, 9575, 32729, 267, 543, 14246, 689, 3500, 2275, 10541, 3014, 16469, 269, 4841, 786, 1451, 827, 519, 7041, 2553, 267, 12146, 10659, 267, 543, 6881, 6163, 2404, 609, 891, 11599, 10346, 780, 6637, 476, 277, 281, 11154, 532, 1325, 2532, 534, 8187, 15227, 28690, 585, 12634, 6022, 919, 692, 2026, 1719, 538, 1325, 2532, 534, 19069, 11951, 9428, 3564, 519, 1533, 781, 10665, 267, 22730, 3068, 519, 4161, 540, 15268, 2757, 8286, 547, 9290, 4207, 16919, 1510, 27531, 13597, 269, 769, 713, 3803, 3184, 267, 649, 2263, 1585, 2994, 6964, 676, 7986, 1325, 2532, 534, 22730, 547, 9337, 5929, 10346, 1247, 4509, 2463, 585, 519, 11477, 6561, 540, 519, 3148, 269, 6201, 1331, 6220, 11451, 6273, 24996, 24025, 267, 19234, 609, 4244, 5986, 2553, 267, 543, 23712, 609, 2199, 6705, 543, 29940, 547, 2707, 4686, 610, 8966, 5820, 269, 3414, 891, 10124, 267, 1325, 2532, 534, 19069, 11951, 5170, 547, 11457, 543, 8853, 538, 2221, 781, 6422, 1426, 6429, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8702, 547, 519, 18198, 5898, 540, 14522, 267, 513, 2244, 540, 26009, 10239, 267, 29814, 22260, 267, 543, 10731, 7320, 269, 14522, 3091, 513, 2189, 543, 20605, 1995, 585, 1346, 5275, 7045, 543, 2067, 13300, 538, 835, 540, 519, 2063, 3020, 19069, 2127, 593, 3047, 269, 2290, 540, 519, 1655, 2081, 547, 2263, 713, 5318, 543, 3309, 1533, 568, 998, 606, 1325, 2532, 534, 23593, 563, 2304, 1325, 2532, 534, 23593, 2488, 519, 3501, 4316, 547, 7198, 519, 23836, 22260, 267, 7747, 6909, 7320, 267, 543, 23365, 3054, 538, 519, 3638, 2686, 6561, 540, 519, 6805, 1004, 269, 6787, 596, 2461, 513, 2470, 27423, 267, 513, 1686, 10889, 267, 610, 3274, 5275, 513, 2736, 689, 519, 554, 755, 548, 543, 11861, 548, 540, 2749, 1272, 267, 14522, 3091, 513, 30162, 540, 32751, 687, 602, 786, 4734, 596, 538, 25713, 563, 5804, 3695, 3794, 659, 1512, 7345, 2817, 5244, 267, 1753, 547, 15999, 22260, 543, 10731, 7286, 1272, 267, 547, 5887, 1005, 883, 9324, 8932, 2817, 5244, 267, 609, 922, 5318, 19069, 543, 11599, 6778, 21025, 514, 2917, 267, 972, 568, 1945, 585, 3025, 593, 606, 1325, 2532, 534, 23593, 563, 9961, 713, 13994, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 3345, 13523, 2276, 1315, 1325, 2532, 534, 8187, 15227, 28690, 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, 769, 513, 14297, 4884, 4904, 609, 7874, 8188, 267, 972, 5030, 606, 23266, 3957, 6004, 269, 3627, 269, 1261, 11827, 1082, 3579, 1919, 267, 855, 1010, 1034, 4583, 8798, 729, 1945, 1572, 519, 834, 298, 4211, 1575, 1701, 898, 1500, 26345, 3905, 10425, 609, 1175, 513, 7903, 540, 513, 7735, 256, 15526, 6068, 621, 910, 3214, 267, 3237, 267, 1256, 22594, 256, 1809, 4166, 267, 1945, 6397, 5949, 780, 3080, 13566, 1554, 267, 1247, 11981, 1010, 1378, 4235, 267, 6004, 269, 3627, 1558, 8861, 267, 513, 8049, 2370, 8004, 945, 4280, 1864, 875, 1010, 8798, 5249, 269, 2701, 4941, 547, 917, 811, 827, 1346, 1507, 11680, 1990, 6235, 3330, 519, 21743, 3684, 269, 2060, 513, 1000, 30257, 538, 1010, 3750, 267, 6004, 269, 3627, 4951, 1200, 875, 1216, 5828, 883, 8949, 23342, 950, 6404, 609, 5820, 538, 519, 7484, 780, 2026, 789, 10004, 1540, 267, 8861, 8068, 1945, 9490, 3544, 269, 589, 2462, 18061, 540, 8900, 918, 4211, 5725, 8057, 2282, 519, 17885, 10822, 1169, 3018, 256, 654, 1180, 1359, 16965, 267, 1352, 4280, 6004, 269, 3627, 267, 834, 3963, 798, 707, 8748, 18563, 1711, 865, 1454, 3653, 8119, 901, 9575, 6004, 269, 3627, 1055, 9856, 282, 646, 1185, 2760, 2219, 827, 1018, 5949, 1310, 1010, 8798, 4547, 7772, 547, 1004, 780, 30342, 30223, 267, 6004, 269, 3627, 16219, 8861, 547, 4368, 713, 1966, 269, 8625, 267, 789, 6836, 4466, 2081, 547, 22120, 610, 19074, 519, 17542, 540, 918, 4211, 5725, 1373, 16207, 2476, 1142, 1032, 269, 1358, 4362, 602, 5068, 2326, 941, 2182, 547, 2736, 1524, 6923, 267, 4929, 5533, 543, 2800, 547, 2831, 269, 4634, 1498, 789, 7948, 1405, 1689, 519, 2250, 267, 789, 7691, 519, 2956, 540, 3206, 6619, 1354, 2870, 1007, 18563, 780, 1103, 519, 1439, 267, 4352, 6004, 269, 3627, 4121, 513, 3407, 3992, 267, 519, 25985, 540, 918, 4211, 5725, 1869, 2877, 21338, 269, 2755, 7996, 585, 513, 3070, 267, 3025, 4797, 1565, 1732, 6208, 281, 4227, 267, 556, 6748, 267, 543, 9657, 8164, 2009, 269, 1656, 938, 15210, 3659, 8861, 286, 4270, 267, 1352, 2968, 513, 1390, 25961, 538, 3450, 1866, 875, 1271, 891, 3527, 941, 585, 2921, 1416, 540, 938, 4541, 269, 6884, 267, 649, 1451, 4245, 2663, 982, 4397, 267, 855, 621, 781, 2141, 1655, 547, 1832, 3843, 1765, 3286, 899, 6004, 269, 3627, 543, 8861, 1705, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 11390, 584, 580, 918, 4211, 1575, 23266, 281, 594, 2048, 10623, 601, 3983, 685, 585, 1818, 873, 454, 26607, 11888, 267, 4728, 476, 275, 267, 476, 1001, 276, 267, 476, 274, 281, 5400, 6751, 692, 763, 23266, 540, 519, 2442, 3223, 584, 580, 918, 4211, 5725, 3081, 646, 1036, 28905, 2479, 1818, 519, 1875, 3146, 7094, 762, 267, 2582, 1606, 2925, 6995, 10540, 338, 267, 799, 616, 533, 4979, 909, 538, 26071, 780, 14881, 1745, 3983, 3006, 602, 594, 2479, 1705, 621, 2223, 3627, 590, 10944, 5143, 634, 9533, 780, 5522, 2880, 918, 4211, 5725, 723, 1279, 1044, 1793, 25428, 585, 741, 2825, 1764, 780, 290, 2086, 5218, 338, 899, 968, 298, 650, 519, 918, 4211, 5725, 892, 946, 10565, 11052, 540, 6995, 10540, 28749, 22215, 1004, 538, 519, 8265, 269, 3223, 584, 580, 3812, 2614, 918, 4211, 5725, 538, 476, 1001, 274, 547, 5858, 519, 3047, 476, 1015, 269, 276, 2053, 267, 2687, 547, 12624, 13643, 780, 11390, 584, 580, 814, 26823, 3022, 547, 1118, 782, 918, 4211, 5725, 6691, 762, 676, 476, 1708, 271, 780, 3719, 538, 519, 29291, 267, 4892, 666, 1406, 1205, 2614, 918, 4211, 1575, 6995, 269, 23093, 3684, 6455, 723, 1011, 10757, 2094, 476, 1220, 279, 267, 2687, 547, 634, 9533, 269, 918, 4211, 1575, 6455, 22755, 3223, 584, 580, 5682, 13738, 779, 5993, 8907, 547, 1269, 275, 269, 278, 5479, 538, 476, 1001, 275, 780, 2304, 6059, 835, 538, 1614, 772, 2529, 269, 5321, 814, 835, 2443, 855, 596, 4465, 1406, 1265, 513, 10540, 2861, 3684, 693, 590, 10944, 779, 2777, 780, 306, 10944, 267, 945, 729, 11751, 856, 522, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 5272, 6640, 267, 6505, 543, 2038, 267, 8585, 787, 1131, 1900, 3544, 547, 26250, 1200, 26600, 540, 4557, 2370, 22917, 2125, 269, 1358, 941, 1142, 2189, 910, 930, 1185, 1225, 569, 15144, 1247, 1866, 1185, 2786, 282, 741, 4778, 24132, 689, 6777, 344, 3043, 547, 10217, 6960, 269, 2701, 6068, 1169, 2582, 835, 632, 8765, 267, 12391, 585, 873, 609, 782, 1200, 2295, 780, 3080, 1554, 267, 1200, 2462, 7015, 1767, 267, 834, 20756, 8585, 787, 267, 594, 1589, 594, 666, 948, 596, 1491, 1416, 540, 707, 22917, 2125, 256, 1411, 917, 267, 594, 2907, 1413, 1310, 1614, 2053, 607, 1082, 13265, 593, 938, 7023, 781, 3484, 3010, 257, 3725, 958, 8119, 4280, 8585, 787, 267, 8049, 827, 875, 1454, 960, 602, 1590, 581, 585, 1864, 269, 834, 1692, 1082, 22917, 2125, 1281, 602, 1118, 538, 2698, 1063, 721, 12482, 29662, 750, 2219, 585, 513, 4090, 1354, 1065, 2391, 267, 834, 11039, 267, 1577, 803, 1294, 1631, 1862, 1403, 596, 723, 4557, 543, 594, 723, 1614, 2053, 602, 1297, 267, 1287, 1927, 649, 723, 4557, 7132, 13977, 799, 2306, 17288, 15323, 30560, 787, 781, 4064, 11097, 2989, 269, 834, 293, 677, 344, 26834, 2334, 4992, 899, 971, 513, 5458, 5539, 10590, 1352, 608, 13094, 269, 1809, 789, 1312, 6785, 621, 729, 3020, 1107, 789, 1185, 3833, 513, 1906, 22917, 2125, 896, 741, 4585, 2439, 2026, 2395, 5293, 267, 8585, 787, 4121, 865, 1454, 811, 827, 2921, 1416, 540, 2831, 269, 2701, 4362, 1007, 1919, 1169, 1554, 267, 899, 875, 1271, 1697, 6484, 729, 610, 875, 1419, 789, 2877, 25462, 269, 898, 7012, 1405, 2141, 2653, 267, 855, 7487, 1200, 22917, 2125, 1332, 2178, 5795, 1200, 1390, 7772, 780, 10190, 3357, 519, 6397, 6335, 1100, 835, 4718, 4947, 269, 2290, 12556, 995, 10543, 267, 950, 10203, 519, 22917, 2125, 267, 789, 7691, 1945, 26648, 281, 2185, 22917, 2125, 941, 7508, 256, 7754, 545, 1305, 538, 607, 789, 22646, 1164, 543, 1970, 267, 2484, 543, 2647, 269, 2991, 3108, 540, 10478, 267, 6368, 267, 789, 1336, 873, 8126, 1194, 909, 538, 5394, 21906, 25053, 2282, 519, 524, 9127, 269, 1548, 513, 8323, 2439, 15987, 7620, 19225, 2989, 676, 1018, 5949, 267, 8585, 787, 7948, 1405, 11716, 519, 3407, 4245, 6456, 9944, 519, 14784, 269, 5020, 3884, 1405, 3501, 267, 3006, 1919, 979, 4636, 267, 855, 16177, 17188, 1055, 269, 1656, 1034, 11932, 267, 1256, 1498, 789, 5185, 2591, 267, 4986, 4957, 519, 1249, 602, 1927, 267, 1352, 543, 1200, 7015, 25374, 585, 1346, 476, 2412, 10475, 22917, 2125, 267, 4180, 741, 8171, 1996, 782, 12918, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 30560, 787, 568, 2921, 1416, 540, 476, 1015, 22917, 2125, 269, 4173, 7015, 3217, 1416, 540, 476, 274, 811, 22917, 2125, 982, 8585, 787, 269, 1215, 1082, 22917, 2125, 798, 8585, 787, 543, 1200, 7015, 723, 888 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 563, 268, 2480, 515, 18860, 2401, 267, 14529, 767, 269, 834, 309, 269, 808, 269, 11370, 325, 6390, 281, 302, 535, 582, 690, 571, 325, 4512, 642, 3046, 341, 5451, 577, 257, 630, 514, 16231, 1040, 8940, 269, 22385, 18860, 2401, 6983, 345, 269, 8158, 476, 276, 5130, 476, 1001, 272, 563, 268, 966, 344, 330, 19281, 559, 267, 8644, 528, 269, 834, 31319, 576, 30941, 910, 27388, 574, 6403, 337, 808, 785, 385, 503, 747, 11370, 325, 6390, 910, 5696, 7224, 630, 384, 490, 525, 330, 383, 377, 887, 30795, 20393, 29215, 16231, 15571, 630, 514, 16231, 1040, 5696, 7224, 630, 384, 490, 525, 330, 383, 377, 887, 30795, 20393, 1040, 8158, 476, 276, 5130, 476, 1001, 272, 563, 268, 13660, 325, 2131, 267, 16653, 27713, 269, 834, 29409, 822, 12921, 5451, 7523, 24809, 642, 5696, 333, 384, 505, 533, 385, 503, 539, 560, 822, 6403, 27388, 574, 6403, 571, 808, 785, 385, 503, 747, 320, 11370, 325, 31343, 257, 630, 514, 16231, 1040, 8940, 23357, 845, 340, 10202, 6983, 345, 269, 8158, 476, 276, 5130, 476, 1001, 272, 563, 268, 834, 29409, 822, 12921, 5451, 7523, 24809, 533, 385, 503, 539, 560, 822, 340, 16660, 3220, 339, 1731, 565, 13960, 737, 517, 330, 675, 660, 320, 11370, 325, 31343, 2668, 17487, 490, 307, 298, 630, 514, 16231, 1040, 17487, 490, 525, 330, 2946, 22261, 4176, 6983, 345, 269, 8158, 476, 276, 5130, 476, 1001, 272, 563, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 27388, 574, 6403, 337, 808, 785, 385, 503, 747, 11370, 325, 6390, 269, 347, 0, 288, 8605, 9612, 910, 18527, 12700, 734, 279, 338, 454, 11372, 17586, 519, 8691, 5013, 540, 476, 279, 543, 1287, 5858, 519, 1297, 2262, 585, 1142, 1587, 538, 519, 11015, 563, 10831, 540, 3817, 281, 476, 273, 13595, 281, 18527, 6103, 281, 476, 274, 910, 476, 275, 7392, 281, 4804, 11242, 543, 6096, 11711, 12025, 281, 476, 28192, 22995, 454, 663, 1205, 19957, 1569, 547, 476, 736, 267, 1822, 266, 4647, 762, 2200, 454, 2704, 2819, 513, 4427, 2675, 686, 828, 286, 8437, 1934, 547, 1129, 538, 0, 3849, 1288, 540, 9050, 10606, 630, 5392, 10819, 994, 303, 1575, 2812, 4194, 476, 5392, 2042, 538, 799, 2185, 2338, 616, 3773, 609, 8876, 269, 1452, 616, 476, 273, 267, 476, 274, 267, 610, 476, 275, 7857, 2338, 538, 6241, 1840, 563, 274, 14358, 476, 866, 20042, 454, 29002, 24908, 10606, 630, 19284, 9324, 7631, 2209, 994, 300, 1460, 1919, 1919, 909, 538, 707, 10026, 2979, 1362, 609, 513, 3126, 540, 1966, 9010, 5751, 269, 3465, 5034, 609, 513, 3126, 540, 6404, 1297, 2262, 2042, 267, 1762, 22697, 616, 4280, 547, 4194, 873, 676, 1210, 2901, 3308, 6824, 3631, 610, 2483, 274, 6113, 910, 476, 277, 628, 4569, 18938, 281, 24623, 454, 306, 19414, 4569, 29329, 476, 276, 910, 9906, 9990, 454, 22091, 663, 707, 4199, 5399, 609, 713, 4015, 540, 590, 19414, 2979, 2326, 269, 15147, 532, 513, 2647, 2039, 540, 3584, 689, 2596, 12980, 543, 1747, 1871, 267, 547, 14291, 1063, 8454, 267, 17447, 267, 543, 25576, 757, 267, 891, 1383, 2042, 543, 1983, 2483, 275, 628, 910, 476, 277, 628, 4569, 18938, 281, 24623, 454, 19138, 808, 4461, 256, 1341, 1299, 910, 9453, 3204, 29470, 454, 3849, 1288, 543, 12408, 616, 1898, 1983, 585, 782, 1762, 22697, 269, 11512, 519, 1900, 8386, 9912, 1184, 609, 2463, 547, 1747, 1871, 1210, 891, 1483, 8996, 1806, 269, 10312, 568, 593, 2338, 538, 519, 9937, 267, 7366, 267, 543, 5215, 267, 1818, 2483, 272, 560, 910, 476, 275, 628, 4569, 18938, 281, 24623, 454, 308, 2955, 18527, 10819, 281, 4635, 26321, 20492, 454, 8139, 8691, 607, 519, 2040, 540, 3160, 21092, 2516, 568, 513, 2462, 1900, 585, 1762, 22697, 269, 901, 1523, 568, 5693, 7152, 538, 519, 1101, 3381, 540, 713, 3126, 267, 607, 1053, 1451, 547, 2328, 8691, 4834, 547, 2483, 274, 25008, 476, 273, 526, 910, 476, 275, 628, 4569, 18938, 281, 23850, 454, 24169, 18827, 10819, 281, 4635, 7388, 906, 540, 476, 1015, 454, 1103, 513, 3490, 4557, 1297, 1062, 267, 6616, 519, 1264, 906, 540, 4557, 568, 513, 5458, 948, 950, 1565, 1840, 609, 3677, 2338, 269, 634, 3791, 3381, 568, 713, 3126, 3631, 875, 891, 2027, 8424, 540, 2338, 666, 581, 1031, 2059, 609, 9450, 10035, 547, 2483, 276, 25008, 476, 273, 526, 910, 476, 275, 628, 4569, 18938, 281, 23850, 0, 25603, 606, 2107, 836, 27175, 454, 2690, 713, 2257, 4976, 267, 1053, 5659, 513, 4605, 609, 5013, 827, 610, 836, 583, 753, 269, 4841, 946, 519, 4605, 547, 2626, 1614, 2055, 563, 1626, 14358, 476, 1724, 20042, 454, 3412, 10628, 540, 28299, 2208, 593, 519, 28259, 532, 10960, 15510, 454, 19177, 628, 17603, 1224, 2835, 827, 13155, 2831, 269, 4635, 8866, 17508, 3301, 267, 476, 275, 628, 17603, 1711, 513, 6881, 20515, 519, 726, 697, 540, 13155, 2831, 269, 1358, 2697, 2042, 267, 1020, 513, 8642, 28013, 267, 543, 2491, 519, 5169, 2483, 5522, 13589, 19029, 547, 6435, 519, 14136, 454, 10743, 2746, 547, 513, 3126, 540, 6898, 827, 4054, 267, 1287, 1224, 513, 3377, 2376, 827, 519, 9709, 4058, 540, 6634, 540, 4054, 547, 8661, 1488, 4011, 4303, 269, 769, 713, 9544, 4054, 14292, 2534, 267, 519, 4116, 12857, 519, 2376, 609, 2483, 273, 526, 910, 476, 277, 628, 4317, 5525, 1299, 3778, 0, 14240, 540, 2110, 25146, 454, 281, 513, 12402, 547, 1205, 14220, 3362, 2433, 513, 2656, 2191, 454, 5575, 19612, 2422, 540, 2110, 25146, 454, 9596, 2859, 827, 2110, 25146, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 2110, 25146, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 763, 3483, 540, 713, 2376, 568, 547, 1683, 513, 2656, 4367, 547, 519, 1034, 1455, 23861, 2010, 269, 18564, 602, 621, 781, 1898, 547, 1174, 891, 12043, 1354, 4358, 547, 6633, 23861, 25923, 563, 291, 13748, 6763, 585, 7913, 12411, 8684, 5494, 630, 528, 7913, 11473, 5494, 264, 543, 621, 729, 2966, 585, 3059, 2923, 4859, 267, 811, 4481, 585, 13868, 519, 3105, 966, 9391, 543, 25789, 9391, 2029, 563, 291, 13748, 2168, 2497, 454, 288, 23861, 568, 10416, 513, 7131, 609, 3677, 4390, 282, 855, 519, 23861, 814, 1079, 2101, 10305, 602, 2306, 621, 1114, 689, 519, 7131, 281, 634, 2702, 547, 4558, 1239, 593, 1312, 5011, 540, 519, 1167, 267, 543, 609, 12242, 1239, 6106, 593, 1142, 2427, 607, 1134, 269, 634, 2698, 23861, 4390, 9832, 689, 476, 275, 269, 278, 547, 476, 1704, 269, 272, 26838, 267, 2687, 547, 519, 1826, 540, 1167, 267, 519, 2663, 1373, 513, 5595, 21758, 543, 5595, 2000, 599, 1229, 1167, 563, 1103, 4156, 23861, 2497, 454, 291, 13748, 19206, 543, 1167, 2010, 454, 265, 634, 8612, 1167, 19206, 616, 2362, 982, 519, 946, 762, 3283, 1317, 789, 2015, 1142, 26838, 607, 476, 1911, 271, 15406, 267, 1247, 538, 5904, 476, 272, 26838, 11224, 547, 476, 9083, 275, 15406, 563, 1262, 634, 23861, 268, 1691, 568, 513, 5595, 521, 3660, 1167, 267, 835, 540, 873, 568, 2582, 4494, 1247, 519, 824, 568, 12242, 4494, 269, 901, 835, 543, 23861, 268, 1240, 616, 5393, 2182, 547, 5478, 543, 616, 585, 782, 4052, 5301, 711, 2139, 20749, 563, 291, 13748, 268, 276, 630, 275, 269, 4343, 26838, 267, 9399, 4149, 299, 994, 763, 23861, 268, 276, 568, 519, 14724, 1826, 540, 1167, 267, 1317, 621, 2934, 543, 2189, 1239, 4494, 593, 835, 540, 922, 5011, 267, 1210, 519, 6587, 2427, 585, 21458, 540, 519, 1167, 269, 4706, 2500, 4390, 568, 476, 275, 269, 4343, 26838, 267, 543, 922, 2497, 568, 9838, 547, 519, 1031, 538, 519, 7131, 563, 291, 13748, 268, 280, 630, 278, 269, 10844, 26838, 267, 9399, 5937, 299, 994, 763, 2582, 521, 3660, 267, 12242, 4494, 23861, 268, 280, 2934, 1079, 14436, 7252, 593, 519, 1482, 2427, 540, 519, 1167, 267, 543, 713, 2488, 3592, 7466, 519, 4390, 540, 519, 2582, 30305, 23861, 268, 276, 269, 634, 2542, 8955, 666, 1224, 1142, 4494, 10446, 269, 901, 2488, 476, 278, 269, 10844, 26838, 585, 1239, 4859, 563, 21132, 4390, 568, 5594, 4130, 982, 7466, 519, 2582, 4494, 4528, 1317, 922, 29365, 616, 476, 1015, 260, 3476, 547, 1118, 519, 2034, 4494, 4443, 547, 1224, 269, 901, 1167, 666, 581, 723, 513, 6003, 593, 519, 30694, 2427, 563, 291, 13748, 268, 1015, 630, 279, 269, 10602, 26838, 267, 26712, 4149, 299, 994, 763, 23861, 268, 1015, 1167, 3096, 1312, 5011, 547, 4558, 1239, 267, 1142, 540, 873, 609, 513, 2582, 14436, 4494, 269, 4706, 4390, 29156, 519, 835, 689, 519, 23861, 268, 276, 269, 1677, 1404, 3724, 519, 824, 2427, 540, 519, 1167, 267, 519, 1167, 1590, 581, 13939, 543, 5828, 936, 538, 1034, 11479, 563, 7712, 1312, 5011, 540, 519, 1167, 2270, 1239, 267, 519, 6003, 8228, 666, 1152, 581, 2944, 593, 513, 6094, 8258, 538, 519, 4099, 540, 519, 1167, 563, 291, 13748, 268, 1240, 630, 1428, 269, 280, 26838, 267, 26712, 5937, 299, 994, 291, 13748, 268, 1240, 2488, 519, 5207, 4390, 540, 519, 23861, 1920, 267, 1317, 621, 8637, 1239, 593, 1312, 5011, 1210, 513, 12242, 4494, 2497, 593, 1142, 540, 873, 269, 901, 2488, 3592, 476, 1626, 26838, 585, 2500, 4859, 563, 1607, 1826, 540, 23861, 568, 519, 1034, 1950, 547, 5478, 267, 1317, 519, 2185, 1239, 6106, 1590, 581, 16826, 539, 593, 519, 1482, 14041, 269, 769, 519, 23861, 13305, 8721, 1920, 267, 891, 25923, 2356, 2270, 513, 7260, 538, 654, 1938, 10547, 593, 835, 540, 922, 5011, 543, 519, 9509, 31653, 4528, 593, 519, 824, 2427, 563, 13126, 281, 23861, 1167, 2010, 454, 1692, 547, 25767, 23861, 338, 888, 5522, 11691, 23861, 9413, 2115, 23861, 5397, 543, 23861, 6345, 269, 901, 7182, 23861, 1404, 3724, 593, 15409, 3457, 269, 14755, 267, 1813, 547, 23861, 3148, 9479, 267, 596, 6148, 2743, 23861, 18297, 2152, 593, 707, 23861, 6345, 610, 13662, 275, 267, 2473, 7901, 2290, 590, 267, 2473, 7901, 2290, 267, 13662, 275, 1160, 267, 3092, 269, 10515, 3539, 23861, 568, 606, 2500, 1259, 547, 4194, 782, 519, 2152, 563, 2005, 2115, 23861, 681, 23124, 14727, 641, 1512, 547, 5299, 23861, 547, 2182, 5397, 610, 6460, 23861, 547, 2789, 2923, 12043, 269, 3371, 649, 22646, 930, 1283, 8039, 827, 1283, 23861, 681, 26802, 269, 1411, 666, 3442, 1022, 835, 547, 5299, 543, 6460, 707, 23861, 9413, 563, 12749, 23861, 681, 26802, 1234, 633, 342, 912, 268, 5440, 7454, 476, 276, 1863, 23861, 681, 26802, 5623, 454, 268, 18948, 540, 15019, 23861, 681, 6235, 2571, 342, 4100, 538, 519, 10369, 454, 268, 5440, 476, 276, 5131, 23861, 681, 23124, 1280, 5839, 630, 1103, 7672, 5839, 5308, 23683, 994, 268, 5440, 476, 736, 9941, 342, 4100, 585, 681, 6235, 23861, 547, 589, 9654, 267, 2473, 341, 573, 267, 6555, 343, 454, 268, 7454, 23861, 5463, 787, 335, 614, 585, 5672, 5308, 23683, 547, 681, 760, 14727, 4878, 23861, 454, 16032, 23861, 681, 23124, 30318, 547, 5299, 23861, 454, 2080, 267, 649, 9244, 4363, 623, 822, 32353, 645, 19699, 20723, 2999, 303, 822, 32353, 645, 19699, 20723, 585, 5839, 285, 1547, 898, 666, 6023, 782, 519, 1034, 2487, 14238, 4066, 267, 1519, 3148, 3009, 267, 18557, 5299, 4027, 267, 22898, 14238, 267, 590, 3415, 1488, 764, 5308, 4027, 267, 543, 621, 779, 8242, 11179, 547, 6023, 1022, 1007, 4027, 14565, 269, 18766, 689, 891, 2934, 267, 713, 23861, 547, 10434, 20000, 3301, 7028, 1585, 3977, 12043, 269, 1411, 711, 1152, 6460, 23861, 547, 12463, 275, 267, 543, 18009, 23861, 547, 631, 298, 309, 855, 849, 6460, 23861, 547, 13334, 543, 23861, 547, 9365, 3092, 563, 7659, 17972, 540, 5440, 623, 822, 32353, 23861, 681, 23124, 585, 10434, 20000, 912, 265, 476, 272, 281, 272, 19307, 23861, 20324, 1663, 11920, 609, 3312, 3381, 2497, 563, 265, 25767, 23861, 20324, 1663, 11920, 5329, 1292, 2140, 563, 265, 681, 760, 23861, 20324, 1663, 11920, 547, 10434, 5397, 538, 12463, 275, 267, 631, 10976, 267, 631, 275, 309, 609, 5140, 3381, 2298, 563, 265, 5269, 3755, 3442, 5551, 5705, 1856, 267, 7142, 5705, 1856, 267, 1832, 2789, 5705, 527, 956, 267, 1349, 521, 4135, 5705, 1856, 689, 23861, 20324, 1663, 11920, 9413, 543, 547, 1039, 5007, 5705, 1856, 547, 23861, 20324, 1663, 11920, 9413, 563, 265, 4675, 2176, 476, 4968, 266, 1292, 6908, 3977, 3457, 971, 607, 21236, 476, 278, 267, 21236, 10323, 267, 21236 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 769, 1018, 2475, 2749, 568, 713, 1296, 8111, 30558, 16516, 547, 581, 5129, 888, 12585, 281, 6505, 6229, 21944, 24550, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 11999, 5835, 2879, 1251, 9934, 2780, 834, 536, 834, 5835, 2879, 1251, 9934, 11999, 2780, 834, 15017, 288, 281, 513, 0, 291, 17690, 4252, 281, 5565, 546, 17690, 4252, 6887, 1404, 1996, 1142, 824, 538, 606, 9703, 15547, 11303, 676, 593, 19972, 619, 538, 6926, 18291, 269, 634, 3014, 5956, 609, 513, 2319, 540, 2367, 1996, 513, 2319, 540, 2021, 1142, 2921, 7140, 18530, 546, 17690, 11084, 693, 1142, 824, 3423, 1836, 269, 0, 9223, 281, 3509, 1004, 2648, 2469, 593, 513, 7552, 676, 7077, 2073, 855, 606, 19633, 568, 2356, 2484, 689, 519, 2749, 1547, 1411, 723, 547, 12446, 972, 543, 7227, 585, 3108, 585, 519, 7077, 547, 1491, 1055, 543, 621, 568, 1419, 3735, 1547, 1411, 666, 1405, 1930, 519, 6885, 1547, 2791, 666, 1405, 3442, 519, 1426, 1547, 5522, 6951, 616, 3728, 2073, 8117, 621, 3217, 3108, 547, 1205, 856, 540, 519, 19633, 543, 883, 519, 2749, 1547, 594, 899, 21409, 676, 5721, 1547, 296, 1589, 14884, 616, 2922, 1547, 21541, 10473, 616, 2356, 538, 4872, 1547, 950, 596, 616, 3735, 585, 513, 5721, 2073, 596, 666, 6952, 1776, 835, 1547, 1411, 666, 3802, 1472, 538, 519, 5721, 543, 1930, 519, 9486, 1547, 1411, 666, 1294, 1082, 703, 31013, 532, 1919, 593, 707, 1259, 1547, 594, 917, 621, 3217, 513, 2370, 811, 942, 1547, 594, 849, 899, 6517, 1547, 1411, 666, 1376, 707, 7552, 950, 596, 1616, 547, 1547, 543, 596, 1810, 1405, 991, 547, 1205, 547, 513, 6728, 1547, 1411, 666, 4163, 1082, 1919, 609, 596, 1932, 1547, 1809, 3006, 972, 616, 1082, 6517, 593, 519, 4155, 1547, 799, 4845, 827, 519, 5856, 568, 13138, 16604, 888, 288, 269, 1261, 15055, 2921, 513, 7077, 1317, 621, 3217, 513, 2603, 540, 942, 547, 979, 547, 519, 2749, 4586, 289, 269, 1261, 15055, 2921, 513, 5721, 1317, 5721, 10473, 616, 2356, 538, 4872, 4586, 290, 269, 1261, 15055, 2921, 513, 1668, 1317, 646, 666, 5397, 621, 4586, 291, 269, 1261, 15055, 2921, 513, 7077, 1317, 621, 568, 3728, 4586, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 2025, 1922, 5831, 539, 1957, 6739, 11909, 11381, 834, 536, 834, 2025, 1922, 5831, 539, 11909, 6739, 1957, 11381, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 763, 2875, 9053, 547, 2328, 1010, 4574, 593, 519, 2780, 8957, 1957, 1317, 646, 568, 5488, 693, 1603, 593, 519, 2780, 1547, 0, 9223, 281, 834, 763, 2012, 781, 519, 1482, 910, 589, 1507, 7439, 27714, 4884, 2282, 519, 22206, 13083, 8473, 543, 513, 8231, 1031, 676, 14038, 2495, 834, 257, 1729, 1397, 513, 3668, 540, 2463, 3269, 24350, 12585, 281, 4744, 0, 9223, 281, 654, 23808, 5058, 307, 2177, 567, 634, 2212, 540, 519, 2622, 7813, 3081, 585, 519, 1101, 942, 538, 1480, 1686, 267, 621, 568, 2009, 547, 1439, 6710, 1472, 519, 1158, 269, 13343, 962, 784, 13690, 5143, 513, 6115, 5304, 13638, 267, 646, 6499, 547, 1118, 10678, 1158, 6710, 676, 476, 10711, 271, 513, 1283, 3804, 585, 519, 4871, 543, 6608, 1472, 519, 1158, 269, 2622, 7813, 5518, 13343, 962, 784, 13690, 3081, 602, 519, 2042, 540, 6710, 267, 14000, 543, 8635, 616, 2647, 267, 14849, 543, 513, 2339, 540, 6668, 540, 6634, 269, 834, 2171, 917, 602, 5103, 519, 1390, 18454, 540, 519, 2063, 8717, 267, 972, 616, 1869, 827, 476, 272, 269, 274, 5479, 1004, 2713, 538, 3665, 6710, 267, 476, 279, 3583, 2929, 945, 979, 17237, 1169, 1554, 267, 543, 476, 277, 269, 280, 2929, 1453, 896, 2947, 12955, 1169, 1032, 2437, 646, 1767, 269, 1809, 13690, 5143, 513, 6115, 5304, 602, 519, 3105, 3811, 3646, 547, 2759, 519, 1297, 540, 1004, 2713, 538, 3665, 6710, 676, 3368, 2285, 873, 4126, 269, 834, 2171, 616, 693, 606, 4090, 538, 1686, 267, 950, 519, 18454, 540, 2250, 5756, 543, 606, 5051, 7957, 24461, 2804, 19773, 9192, 547, 2285, 3384, 2477, 513, 4960, 16519, 519, 1101, 942, 2479, 3562, 1439, 3665, 6710, 1369, 513, 5108, 2437, 646, 1767, 538, 513, 4633, 693, 31869, 1326, 1144, 2160, 269, 834, 5978, 10279, 1631, 1590, 581, 547, 2327, 602, 891, 7957, 24461, 6381, 616, 20083, 609, 20982, 3664, 547, 8275, 713, 8978, 4316, 1701, 13690, 3081, 1967, 786, 2154, 2810, 519, 3432, 540, 2804, 2208, 267, 3226, 538, 3162, 4000, 543, 3162, 5607, 269, 1809, 646, 19230, 602, 3540, 19727, 1223, 4755, 952, 2804, 2208, 1281, 711, 948, 1004, 693, 782, 4747, 2157, 267, 543, 849, 1331, 2021, 543, 6107, 269, 13690, 3081, 602, 519, 2622, 7813, 543, 824, 1646, 8041, 786, 723, 811, 2200, 547, 1205, 713, 2816, 2944, 1318, 269, 834, 9288, 7566, 713, 476, 10711, 271, 3804, 786, 1491, 9058, 4674, 2437, 646, 1767, 269, 1717, 267, 13690, 19230, 602, 782, 519, 3356, 538, 8165, 6710, 1223, 581, 10032, 676, 2916, 12469, 8259, 519, 6082, 540, 519, 1158, 798, 811, 547, 2061, 2916, 1689, 269, 6904, 540, 519, 1739, 3947, 13343, 962, 784, 13690, 519, 4126, 547, 1439, 1158, 6710, 888, 288, 269, 9483, 2208, 568, 2810, 538, 3384, 2477, 563, 289, 269, 4279, 18454, 723, 1044, 6913, 538, 2257, 543, 2029, 563, 290, 269, 589, 13302, 1297, 540, 1004, 616, 2713, 538, 6710, 563, 291, 269, 2353, 2477, 723, 3323, 547, 4339, 6710, 563, 12585, 281, 595, 0, 305, 1853, 8685, 532, 281, 589, 1268, 26055, 1524, 513, 4028, 593, 606, 954, 8546, 538, 513, 1895, 540, 2828, 593, 513, 22586, 5757, 269, 634, 1004, 538, 519, 954, 339, 25683, 616, 5280, 2059, 676, 513, 5757, 10274, 538, 1135, 334, 25099, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1215, 798, 596, 3595, 513, 7784, 888, 288, 269, 12414, 1055, 519, 3106, 543, 7485, 519, 9594, 563, 289, 269, 29553, 519, 9594, 593, 519, 7784, 547, 3595, 621, 563, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1688, 812, 538, 18896, 10689, 646, 779, 17814, 607, 606, 4998, 626, 945, 4487, 332, 14800, 519, 4622, 779, 16028, 689, 563, 291, 822, 625, 6700, 602, 2474, 899, 2048, 339, 31122, 24469, 685, 543, 2048, 339, 31122, 21257, 685, 1031, 676, 12206, 543, 538, 26725, 543, 4670, 5559, 553, 2285, 513, 7301, 12705, 540, 1350, 600, 712, 543, 9322, 547, 519, 1974, 689, 29165, 642, 4512, 547, 1714, 9626, 1775, 267, 543, 602, 12206, 991, 547, 556, 20459, 1082, 10054, 827, 476, 1626, 628, 2540, 24469, 269, 634, 512, 31122, 7242, 568, 519, 2245, 538, 7005, 1686, 267, 2351, 25086, 543, 3332, 602, 6799, 519, 1974, 540, 519, 476, 1428, 628, 2540, 267, 1519, 519, 10617, 540, 519, 24712, 267, 538, 24469, 607, 513, 4158, 2085, 540, 606, 8944, 543, 1973, 338, 1117, 269, 634, 12081, 540, 519, 512, 644, 832, 814, 2141, 1044, 835, 540, 10373, 22906, 950, 621, 2501, 547, 7005, 1686, 267, 2921, 883, 2272, 519, 1249, 602, 621, 568, 513, 2347, 4062, 540, 1686, 910, 835, 602, 2907, 814, 513, 4098, 543, 606, 1439, 267, 547, 581, 6594, 267, 1964, 644, 1221, 267, 9916, 267, 556, 534, 3315, 7458, 267, 6218, 267, 543, 556, 3887, 1998, 18050, 1439, 8393, 1369, 519, 25055, 540, 922, 8513, 269, 634, 512, 31122, 9782, 729, 1031, 538, 15596, 1714, 9626, 1775, 781, 23609, 547, 3277, 547, 519, 512, 31122, 15913, 543, 519, 9322, 621, 4547, 547, 519, 7706, 519, 9782, 849, 1185, 3909, 25664, 725, 267, 607, 519, 10120, 3090, 540, 519, 20424, 29827, 563, 8512, 476, 272, 540, 476, 274, 281, 13299, 476, 1014, 8486, 339, 12537, 1630, 548, 2106, 32319, 267, 3376, 2515, 3440, 6758, 267, 669, 1952, 749, 13275, 267, 9419, 1633, 14646, 267, 1202, 564, 281, 29165, 642, 13839, 607, 17814, 538, 519, 512, 644, 832, 267, 21882, 16719, 23932, 1407, 585, 32319, 1630, 548, 2106, 855, 7173, 5661, 538, 519, 5087, 540, 24469, 6100, 769, 476, 13647, 277, 267, 29235, 1296, 1310, 519, 2343, 534, 21037, 540, 24469, 267, 513, 530, 19977, 804, 20143, 3957, 2520, 32015, 540, 1395, 17625, 6192, 513, 960, 538, 32204, 799, 646, 11331, 2351, 807, 1036, 636, 12766, 2335, 23706, 267, 610, 1686, 540, 519, 15438, 540, 12766, 320, 16636, 32015, 729, 15151, 513, 17374, 693, 519, 16712, 2852, 540, 588, 24636, 781, 2394, 519, 9872, 781, 27757, 538, 476, 14625, 280, 269, 570, 31122, 1686, 814, 1279, 31030, 593, 1025, 5446, 29827, 512, 31122, 585, 782, 519, 5208, 543, 22166, 540, 519, 15913, 3045, 320, 17642, 601, 1442, 779, 3804, 568, 547, 1689, 602, 676, 10213, 29827, 779, 1650, 609, 1007, 3196, 543, 563, 2108, 1492, 512, 31122, 7242, 2223, 513, 6041, 540, 6957, 18818, 2540, 24469, 607, 606, 2085, 540, 14334, 543, 1973, 338, 1117, 267, 729, 513, 5339, 2245, 602, 3459, 538, 519, 31303, 2540, 851, 540, 713, 7242, 13269, 3638, 731, 25831, 607, 513, 29695, 5636, 664, 267, 543, 2094, 1010, 1394, 729, 632, 11526, 267, 2168, 22775, 640, 2968, 2404, 609, 606, 9409, 29525, 269, 634, 512, 644, 832, 543, 741, 18793, 3323, 513, 5859, 547, 1159, 792, 519, 2012, 540, 3638, 731, 543, 547, 13686, 519, 2112, 540, 519, 24712, 607, 24469, 779, 4158, 652, 942, 519, 512, 31122, 15913, 1131, 3142, 4708, 543, 694, 1066, 640, 2073, 607, 29165, 642, 4512, 729, 5601, 779, 3190, 4526, 593, 3618, 269, 0, 11328, 13905, 609, 21570, 753, 543, 22988, 6273, 1082, 540, 891, 2242, 538, 3069, 519, 1007, 2229, 17468, 1379, 547, 30978, 781, 3504, 1899, 540, 900, 30752, 678, 17892, 267, 535, 8896, 267, 543, 27437, 18060, 539, 547, 2061, 519, 29534, 689, 269, 634, 8087, 2829, 2229, 729, 7620, 20935, 547, 519, 865, 341, 2884, 3401, 585, 2921, 891, 13253, 4797, 547, 2291, 2394, 519, 10565, 11180, 2242, 540, 547, 1711, 513, 2344, 4346, 267, 678, 17892, 729, 26823, 3022, 693, 2063, 547, 20408, 1312, 519, 269, 7377, 592, 1143, 15853, 476, 17069, 1143, 267, 607, 1312, 16809, 543, 2797, 513, 8471, 267, 23344, 26742, 19631, 267, 4183, 540, 782, 2413, 11180, 2797, 1949, 585, 2797, 1689, 267, 1489, 585, 6917, 543, 1507, 2389, 1144, 2418, 267, 543, 10343, 2943, 1082, 3735, 5991, 12078, 2540, 6705, 543, 31356, 4951, 607, 1454, 7650, 269, 4139, 6214, 676, 7421, 519, 4909, 7004, 540, 519, 3486, 1062, 676, 4657, 519, 3652, 12044, 2706, 12741, 4655, 543, 13524, 268, 543, 14206, 10601, 519, 4473, 540, 2413, 18541, 2488, 606, 1383, 540, 971, 513, 4909, 5389, 543, 10781, 540, 519, 678, 11701, 1004, 563, 305, 11701, 2528, 814, 513, 1279, 1686, 678, 17892, 6811, 513, 1279, 2245, 540, 26318, 538, 1082, 3344, 519, 3510, 4957, 538, 519, 476, 736, 628, 2540, 267, 950, 519, 21340, 16809, 2968, 513, 18617, 676, 575, 1251, 344, 543, 521, 758, 565, 990, 781, 7440, 267, 519, 865, 341, 2884, 2229, 543, 519, 676, 519, 476, 6642, 271, 338, 678, 11701, 3332, 1185, 13175, 547, 1689, 269, 634, 2413, 7269, 540, 1480, 2338, 3323, 1287, 267, 8375, 693, 513, 3500, 855, 811, 11931, 10605, 1282, 519, 2034, 3368, 540, 519, 14206, 2540, 267, 2705, 267, 2208, 3928, 18965, 547, 519, 2487, 1974, 540, 1360, 4028, 15295, 1689, 538, 1034, 2477, 1472, 519, 2034, 267, 2229, 6304, 5129, 513, 1883, 1909, 269, 9710, 807, 9923, 14508, 336, 729, 513, 1762, 8004, 950, 678, 17892, 22983, 7192, 12174, 6017, 538, 476, 3192, 280, 6432, 547, 519, 8301, 17157, 2630, 547, 5873, 3520, 807, 781, 7650, 540, 13977, 1296, 540, 2394, 519, 4655, 540, 519, 476, 3192, 271, 338, 267, 519, 476, 736, 628, 2540, 1185, 2938, 5266, 11931, 543, 2229, 4229, 538, 519, 1412, 3199, 338, 543, 1412, 3445, 338, 267, 543, 1287, 896, 5657, 28063, 4341, 11783, 2876, 476, 27886, 2443, 2413, 678, 17892, 281, 713, 1576, 12116, 519, 1686, 540, 678, 17892, 543, 960, 267, 519, 4998, 7385, 267, 24726, 538, 1379, 543, 6214, 267, 543, 4775, 17035, 543, 4984, 1277, 476, 25172, 2443, 7810, 32204, 13314, 281, 713, 1576, 2488, 606, 7650, 540, 32204, 538, 519, 14206, 2540, 281, 713, 1576, 786, 1936, 622, 519, 2242, 538, 2413, 563, 20776, 3272, 532, 519, 2898, 540, 519, 14206, 2540, 538, 606, 3015, 543, 2312, 6073, 678, 17892, 781, 1346, 945, 3343, 547, 1174, 519, 1646, 540, 2413, 678, 17892, 538, 606, 3486, 2796, 12242, 6663, 540, 3339, 1436, 543, 1158, 4838, 3040, 1492, 2242, 530, 3754, 547, 519, 3486, 1931, 676, 519, 2034, 4346, 540, 519, 721, 338, 337, 269, 634, 6214, 540, 678, 17892, 1491, 1747, 538, 519, 5943, 540, 519, 5313, 10859, 25535, 7808, 14081, 540, 575, 12643, 5995, 341, 781, 678, 2794, 2229, 6444, 519, 7115, 540, 1609, 8205, 267, 5103, 586, 601, 1206, 514, 781, 1689, 540, 2295, 267, 513, 2034, 9058, 8400, 540, 519, 524, 335, 323, 2705, 267, 513, 2063, 18826, 267, 7920, 5859, 10023, 5230, 8613, 1547, 2342, 538, 519, 2038, 476, 736, 628, 2540, 1185, 1634, 1100, 1390, 2112, 267, 5473, 782, 519, 11782, 781, 538, 519, 954, 574, 267, 519, 2242, 1185, 1500, 2112, 811, 2352, 2864, 982, 7543, 267, 602, 2112, 1063, 4359, 2413, 11615, 729, 1631, 19450, 20866, 267, 538, 28191, 6319, 3620, 2426, 776, 267, 27437, 267, 543, 678, 17892, 26110, 269, 15448, 972, 281, 630, 272, 264, 8456, 4724, 1689, 543, 2797, 9111, 543, 630, 273, 264, 8456, 4724, 538, 519, 3140, 1995, 540, 519, 2063, 1079, 5553, 267, 519, 24180, 1533, 267, 7488, 540, 1022, 824, 2413, 519, 1394, 20675, 3175, 689, 678, 11701, 585, 891, 2055, 3604, 538, 3609, 7375, 281, 513, 5758, 540, 3466, 563, 29619, 1923, 15853, 1923, 4216, 518, 18326, 1923, 1743, 3141, 586, 520, 1606, 523, 1923, 16584, 836, 693, 519, 1482, 942, 267, 519, 2757, 2229, 540, 19580, 3459, 547, 3111, 538, 519, 269, 15215, 4249, 513, 7986, 1909, 538, 519, 1857, 543, 5289, 1272, 540, 2221, 781, 678, 17892, 519, 24663, 622, 15068, 538, 678, 17892, 2394, 519, 2038, 476, 1240, 628, 2540, 519, 2197, 781, 2804, 543, 2797, 1062, 267, 2101, 2242, 941, 1500, 538, 519, 2078, 269, 2991, 782, 267, 621, 568, 2487, 1686, 267, 543, 972, 781, 1100, 26750, 540, 519, 2413, 1158, 540, 519, 476, 736, 628, 2540, 5608, 799, 6766, 610, 17191, 968, 629, 560, 3555, 267, 922, 17837, 5781, 5279, 25847, 609, 1373, 513, 4984, 621, 729, 2907, 538, 1747, 676, 476, 5002, 277, 267, 543, 7488, 15069, 621, 1705, 711, 1689, 1857, 6644, 8754, 519, 269, 901, 2376, 2488, 606, 7650, 540, 519, 2010, 540, 2229, 267, 519, 2081, 1369, 519, 2413, 4182, 15581, 267, 2229, 13333, 693, 1082, 1114, 2157, 519, 18008, 21257, 538, 519, 476, 1240, 628, 2540, 543, 519, 678, 11701, 21257, 538, 519, 476, 736, 628, 2540, 563, 288, 12225, 1108, 540, 1883, 2621, 538, 519, 1686, 540, 678, 17892, 267, 689, 519, 476, 6344, 271, 338, 547, 519, 1459, 476, 280, 628, 2540, 910, 15713, 540, 737, 773, 7079, 678, 639, 267, 519, 1101, 2101, 7532, 1793, 822, 545, 1533, 476, 15094, 272, 910, 678, 17892, 4203, 2231, 8513, 540, 2413, 1609, 8205, 543, 4234, 16129, 1310, 5756, 540, 2112, 609, 476, 1220, 274, 795, 2317, 910, 2229, 17887, 2063, 6967, 18487, 269, 769, 1228, 12930, 1216, 267, 543, 2916, 1689, 593, 1480, 1072, 543, 17612, 519, 678, 11701, 2229, 568, 2693, 547, 1628, 593, 2534, 538, 519, 4947, 1032, 267, 799, 519, 796, 2063, 6059, 693, 1269, 1626, 268, 259, 2420, 18265, 585, 476, 1001, 275, 519, 2250, 476, 12893, 1296, 723, 1044, 519, 3636, 652, 1974, 538, 519, 1686, 540, 2413, 10340, 267, 543, 519, 269, 769, 513, 4657, 1158, 530, 1729, 1107, 535, 22080, 1107, 23686, 551, 333, 2518, 642, 620, 826, 524, 554, 1622, 538, 513, 524, 476, 16960, 7650, 540, 4853, 4507, 538, 6932, 11615, 476, 22430, 538, 519, 2063, 1614, 547, 2185, 5756, 267, 2229, 543, 1870, 723, 1044, 851, 540, 513, 2992, 2413, 4123, 3270, 6353, 676, 2799, 3486, 678, 11701, 10480, 3130, 476, 277, 476, 277, 269, 634, 678, 11701, 2797, 1062, 729, 4922, 2847, 6150, 607, 519, 536, 770, 542, 540, 678, 17892, 781, 2063, 16313, 267, 562, 747, 15614, 13797, 267, 3182, 3293, 896, 10654, 1739, 941, 24330, 676, 519, 6708, 540, 519, 2242, 602, 7153, 1739, 519, 21257, 781, 27757, 2413, 678, 17892, 281, 689, 512, 338, 541, 1143, 547, 519, 8938, 23867, 2540, 630, 335, 21315, 267, 476, 1001, 276, 563, 25889, 267, 585, 5553, 19580, 11542, 607, 513, 3056, 10340, 267, 856, 335, 5217, 519, 1964, 540, 855, 538, 519, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 267, 519, 2197, 729, 14850, 564, 676, 3540, 19727, 267, 519, 865, 341, 2884, 4346, 543, 2486, 24715, 730, 538, 519, 5756, 1739, 588, 16433, 781, 678, 17892, 814, 22734, 1713, 2242, 2094, 519, 12900, 540, 519, 865, 341, 2884, 269, 4746, 6941, 519, 3140, 543, 5339, 2796, 602, 6766, 519, 678, 11701, 4838, 519, 1007, 2229, 267, 3366, 676, 642, 19921, 25504, 7003, 514, 267, 1131, 4396, 1518, 922, 1379, 1152, 1310, 5949, 23589, 569, 267, 519, 3123, 949, 581, 14360, 1394, 5176, 513, 2540, 689, 519, 18211, 7100, 30147, 5921, 513, 9645, 1689, 538, 4287, 585, 678, 17892, 269, 1488, 2358, 856, 540, 519, 15141, 1190, 7099, 693, 519, 4098, 540, 519, 14206, 2540, 267, 2413, 1143, 729, 547, 26016, 1125, 519, 1259, 2413, 10340, 9763, 1272, 267, 1148, 267, 6214, 2073, 543, 2257, 543, 6639, 8441, 602, 941, 4657, 519, 2898, 2497, 540, 1272, 543, 267, 3976, 267, 519, 1007, 2797, 4998, 1143, 602, 729, 547, 19411, 622, 538, 519, 678, 11701, 269, 12634, 678, 17892, 568, 15991, 606, 9868, 547, 713, 2489, 12402, 2523, 538, 519, 2796, 540, 519, 1360, 1970, 4332, 3928, 540, 519, 2063, 1079, 5756, 476, 538, 519, 2038, 476, 736, 628, 2540, 267, 678, 11701, 22158, 3459, 547, 3914, 519, 2324, 519, 13994, 4327, 6663, 540, 519, 865, 341, 2884, 2229, 1310, 519, 4838, 941, 519, 563, 1103, 8720, 519, 476, 736, 628, 2540, 267, 519, 1576, 5654, 693, 519, 5169, 540, 666, 6598, 3029, 538, 519, 14206, 2540, 8151, 689, 519, 16313, 673, 27236, 9107, 2497, 540, 519, 593, 678, 17892, 781, 1686, 1282, 513, 1974, 540, 7415, 1689, 543, 31285, 267, 950, 713, 1576, 786, 1376, 609, 606, 7650, 540, 2413, 5468, 540, 3965, 6214, 269, 898, 13856, 519, 6214, 540, 519, 476, 736, 628, 2540, 267, 543, 621, 814, 2451, 606, 30170, 1665, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26018, 413, 379, 367, 31057, 372, 24341, 17385, 14267, 21227, 269, 5617, 10079, 538, 4906, 256, 476, 277, 269, 12631, 16708, 14267, 17385, 24681, 21227, 14832, 15770, 15403, 16483, 15770, 26018, 413, 379, 367, 16564, 15770, 413, 379, 367, 269, 654, 11208, 630, 11312, 1524, 547, 264, 2696, 256, 476, 278, 269, 24818, 15403, 10382, 24681, 14267, 14832, 15770, 15403, 16483, 15770, 26018, 14267, 15403, 19084, 31057, 478, 29857, 15770, 16575, 395, 484, 14267, 15403, 19084, 269, 31160, 630, 2041, 540, 3028, 547, 264, 519, 14552, 256, 476, 279, 269, 18841, 377, 495, 11027, 10382, 24681, 14267, 21227, 15770, 26018, 413, 379, 367, 631, 15770, 17385, 17385, 15403, 413, 378, 367, 269, 744, 21161, 630, 2041, 1073, 539, 1304, 547, 264, 519, 31050, 256, 476, 280, 269, 18494, 10382, 382, 369, 15512, 10382, 14832, 15770, 16483, 15770, 26018, 10382, 19084, 6543, 485, 24341, 16708, 10382, 19084, 269, 25547, 633, 519, 11097, 3298, 256, 476, 1015, 269, 24818, 15403, 29857, 10382, 17385, 24681, 15770, 16483, 15770, 26018, 10382, 26018, 15770, 24681, 14832, 15403, 10382, 269, 17546, 519, 630, 331, 8077, 264, 1453, 256, 476, 1240, 269, 275, 32279, 9648, 14087, 2510, 31057, 364, 29857, 14267, 21227, 630, 19972, 256, 1070, 31057, 364, 29857, 15770, 16483, 15770, 630, 19972, 256, 1070, 24818, 15770, 21227, 16483, 15770, 630, 2492, 256, 1070, 16564, 10382, 16708, 17385, 15770, 15403, 630, 339, 820, 2295, 256, 1810, 1405, 581, 18901, 256, 1070, 18841, 377, 495, 11027, 10382, 24556, 15770, 630, 2998, 14386, 31057, 364, 29857, 14267, 21227, 630, 28410, 983, 1070, 31057, 364, 29857, 15770, 630, 28410, 983, 264, 543, 31057, 364, 29857, 15770, 16483, 15770, 630, 680, 1116, 264, 616, 6650, 2510, 540, 835, 540, 519, 13450, 585, 834, 19972, 267, 1531, 1245, 2668, 5259, 568, 2147, 547, 2296, 267, 538, 602, 834, 16100, 257, 949, 581, 1031, 538, 519, 12823, 540, 834, 299, 334, 543, 1531, 1245, 10590, 610, 834, 16100, 910, 2628, 3007, 10590, 24818, 15770, 21227, 16483, 15770, 267, 834, 1877, 2580, 568, 606, 30163, 799, 568, 1031, 607, 519, 4971, 834, 290, 727, 1934, 10590, 16564, 10382, 16708, 17385, 15770, 15403, 630, 28410, 983, 264, 543, 16564, 10382, 16708, 17385, 15770, 15403, 16483, 15770, 630, 680, 1116, 1070, 834, 339, 820, 2295, 2580, 616, 519, 1152, 3029, 540, 519, 8231, 16564, 10382, 16708, 17385, 15770, 22886, 630, 296, 993, 29752, 264, 799, 616, 1031, 538, 519, 1715, 11620, 269, 18841, 377, 495, 11027, 10382, 24556, 15770, 267, 834, 2998, 267, 979, 2476, 257, 568, 606, 14087, 894, 13737, 540, 18841, 377, 495, 11027, 10382, 24556, 22886, 267, 834, 296, 979, 2476, 4840, 273, 6657, 589, 910, 31057, 364, 29857, 14267, 21227, 910, 2394, 596, 666, 1224, 543, 14377, 3362, 476, 272, 269, 31057, 372, 29857, 14267, 21227, 31057, 494, 24556, 22886, 31330, 413, 376, 364, 382, 369, 15403, 18841, 377, 479, 14832, 3852, 370, 24341, 16483, 15770, 15403, 16483, 15770, 269, 2142, 3835, 267, 594, 993, 646, 7247, 596, 3343, 269, 630, 8002, 338, 476, 1015, 281, 2641, 4297, 476, 273, 269, 3852, 374, 10382, 15403, 31057, 364, 29857, 14267, 21227, 31057, 494, 24556, 22886, 18725, 15770, 15184, 262, 18841, 377, 495, 382, 369, 22886, 14832, 31330, 413, 376, 364, 382, 369, 15403, 1862, 2142, 3835, 267, 594, 993, 609, 596, 1862, 630, 300, 3430, 269, 476, 2764, 281, 736, 264, 476, 274, 269, 3852, 374, 10382, 15403, 31057, 364, 29857, 14267, 21227, 26420, 22886, 14832, 24341, 31057, 494, 24681, 26018, 22886, 14832, 3852, 379, 30307, 494, 16708, 10382, 14832, 22886, 14832, 1862, 1656, 1531, 1245, 267, 513, 5639, 689, 13140, 1862, 630, 300, 3430, 269, 476, 274, 281, 1704, 264, 476, 275, 269, 31057, 372, 29857, 14267, 21227, 31057, 350, 24818, 14267, 21227, 16575, 24341, 26018, 14267, 21227, 3852, 374, 21227, 16708, 15403, 14267, 21227, 269, 2142, 3835, 267, 519, 22700, 8004, 540, 519, 7083, 269, 630, 299, 8123, 476, 272, 281, 4343, 264, 476, 276, 269, 31057, 364, 29857, 14267, 21227, 18725, 21227, 17385, 16483, 24341, 16708, 15403, 14267, 14832, 18841, 377, 495, 382, 369, 15403, 14832, 18494, 15770, 24556, 22886, 269, 2142, 3835, 267, 594, 2995, 596, 513, 9814, 269, 630, 272, 29833, 269, 476, 1428, 281, 7906, 264, 476, 277, 269, 31057, 372, 29857, 14267, 21227, 31057, 494, 24556, 22886, 31057, 478, 11027, 14267, 17385, 16483, 15770, 16575, 16575, 22886, 18841, 377, 495, 382, 369, 10382, 19084, 2142, 3835, 267, 594, 6494, 596, 630, 719, 264, 18841, 377, 350, 19084, 12631, 16708, 14267, 15512, 10382, 16483, 10382, 269, 899, 13265, 1862, 630, 300, 3430, 269, 476, 1015, 281, 1626, 264, 476, 278, 269, 31057, 372, 29857, 14267, 21227, 31057, 494, 24556, 22886, 31057, 478, 11027, 14267, 17385, 16483, 15770, 16575, 16575, 22886, 26018, 14267, 14832, 31057, 478, 24556, 24556, 15770, 16575, 14267, 14832, 2142, 3835, 267, 594, 6494, 1250, 28034, 18725, 14267, 21227, 12631, 16708, 14267, 12631, 16708, 14267, 17385, 22886, 11027, 14267, 14832, 21566, 14267, 21227, 269, 1354, 707, 3068, 269, 630, 300, 3430, 269, 476, 1556, 281, 1015, 264, 476, 279, 269, 31057, 364, 29857, 14267, 21227, 3852, 377, 21227, 14832, 31057, 350, 382, 369, 15770, 16708, 10382, 21566, 22886, 16483, 24341, 16708, 15403, 10382, 19084, 269, 2142, 3835, 267, 1631, 630, 529, 264, 519, 1554, 540, 20778, 269, 630, 273, 4856, 269, 476, 277, 281, 273, 264, 476, 280, 269, 31057, 372, 29857, 14267, 21227, 31057, 478, 14832, 10382, 15512, 10382, 15403, 14832, 14267, 382, 369, 15770, 14832, 31330, 413, 376, 364, 19084, 31057, 373, 15770, 16708, 14267, 17385, 14267, 16575, 21227, 382, 369, 10382, 1862, 2142, 3835, 267, 649, 979, 909, 547, 13243, 1862, 630, 300, 3430, 269, 476, 736, 281, 1240, 264, 476, 1015, 269, 3852, 374, 10382, 15403, 18841, 377, 479, 3852, 510, 15403, 16575, 10382, 16483, 14267, 19084, 18494, 15770, 24556, 15770, 15403, 14668, 30307, 494, 16483, 14267, 15403, 19084, 267, 1656, 15815, 622, 3081, 547, 873, 267, 31057, 372, 29857, 14267, 21227, 18841, 377, 479, 31057, 478, 14832, 15184, 16708, 22886, 11027, 14267, 19084, 269, 834, 6826, 3835, 267, 519, 812, 1701, 630, 5408, 3627, 476, 866, 281, 276, 264, 6657, 645, 910, 2394, 596, 666, 1224, 543, 14377, 3362, 476, 272, 269, 31330, 21227, 16483, 15770, 31057, 364, 29857, 15770, 16483, 15770, 31057, 478, 14832, 15184, 16708, 22886, 11027, 14267, 14832, 1862, 22067, 267, 1294, 513, 812, 1862, 630, 11990, 476, 275, 281, 3066, 264, 476, 273, 269, 31057, 372, 29857, 15770, 18841, 377, 479, 31057, 478, 382, 369, 14832, 14267, 19084, 26018, 14267, 21227, 16564, 15770, 14267, 21227, 1862, 2142, 3835, 519, 30340, 540, 2696, 269, 630, 11990, 476, 272, 281, 3607, 264, 476, 274, 269, 3852, 374, 10382, 15403, 18494, 15770, 24556, 15770, 15403, 14668, 30307, 494, 16483, 14267, 15403, 19084, 267, 1656, 646, 3081, 547, 873, 267, 31330, 21227, 16483, 15770, 18841, 377, 478, 11027, 15403, 17385, 22886, 18725, 14267, 21227, 1862, 834, 290, 727, 1310, 630, 31742, 264, 803, 1862, 834, 630, 300, 3430, 269, 476, 275, 281, 866, 264, 476, 275, 269, 24818, 15770, 21227, 16483, 15770, 31330, 413, 376, 364, 19084, 26018, 14267, 21227, 19084, 29339, 10382, 382, 369, 14267, 21227, 19084, 269, 22067, 547, 519, 7365, 630, 10623, 6814, 264, 630, 300, 3430, 269, 476, 2420, 281, 275, 264, 476, 276, 269, 24818, 15770, 21227, 16483, 15770, 31057, 364, 29857, 15770, 16483, 15770, 26018, 14267, 14832, 26018, 14267, 11027, 14267, 14832, 1862, 22067, 267, 1294, 519, 1747, 1862, 630, 300, 3430, 269, 476, 2764, 281, 277, 264, 476, 277, 269, 3852, 374, 10382, 15403, 18841, 377, 479, 31057, 372, 24341, 17385, 14267, 21227, 19084, 1862, 31330, 413, 376, 364, 11027, 15770, 14832, 1656, 4906, 1767, 547, 519, 1612, 24608, 267, 26018, 413, 379, 367, 12631, 10382, 16708, 10382, 16575, 21227, 16483, 15403, 24681, 413, 379, 367, 267, 3852, 502, 10382, 16708, 17385, 15770, 15403, 267, 26018, 15770, 24681, 14832, 14267, 14832, 28011, 834, 12648, 2295, 267, 17078, 28011, 630, 300, 3430, 269, 476, 280, 281, 273, 264, 476, 278, 269, 18841, 377, 479, 31057, 372, 24341, 17385, 14267, 21227, 19084, 18494, 15770, 24556, 15770, 15403, 14668, 30307, 494, 16483, 14267, 15403, 19084, 267, 4906, 3081, 547, 873, 267, 3852, 502, 10382, 16708, 17385, 15770, 15403, 16483, 15770, 267, 31057, 494, 24556, 22886, 31330, 413, 376, 364, 382, 369, 15403, 269, 834, 12648, 2295, 267, 621, 568, 594, 1701, 630, 5408, 20917, 269, 476, 1691, 281, 2767, 264, 476, 279, 269, 3852, 374, 10382, 15403, 26420, 22886, 14832, 14267, 21227, 17385, 15403, 14832, 26018, 14267, 14832, 26018, 21227, 395, 484, 16575, 14267, 14832, 3852, 374, 10382, 15403, 1656, 789, 1289, 519, 9420, 812, 543, 18494, 15770, 24556, 14267, 21227, 17385, 15403, 14832, 14668, 30307, 494, 16483, 413, 379, 367, 267, 3852, 502, 10382, 16708, 17385, 15770, 15403, 28011, 2161, 547, 1864, 267, 834, 12648, 2295, 907, 26420, 22886, 14832, 15770, 15403, 21566, 15770, 269, 646, 568, 10912, 596, 1701, 630, 5408, 4460, 476, 1015, 281, 5392, 264, 476, 280, 269, 26018, 14267, 16483, 15770, 18494, 15770, 24556, 15770, 15403, 14668, 30307, 494, 16483, 413, 379, 367, 18841, 377, 479, 31057, 372, 24341, 17385, 14267, 21227, 19084, 267, 3973, 4906, 3081, 547, 1864, 267, 18841, 377, 503, 11027, 10382, 24556, 15770, 267, 3852, 352, 10382, 16483, 10382, 14832, 10382, 269, 834, 7883, 2476, 267, 30616, 1701, 630, 300, 3430, 269, 476, 275, 281, 1015, 264, 476, 1015, 269, 18494, 15770, 24556, 15770, 15403, 14668, 30307, 494, 16483, 413, 379, 367, 267, 18841, 377, 503, 11027, 10382, 24556, 15770, 31330, 413, 376, 364, 19084, 26018, 14267, 14832, 3852, 379, 413, 376, 364, 24681, 14267, 14832, 21566, 14267, 21227, 1261, 3081, 547, 1864, 267, 834, 7883, 547, 707, 2777, 12631, 16708, 14267, 19084, 26018, 14267, 21227, 19084, 21566, 14267, 21227, 19084, 269, 543, 547, 707, 11570, 269, 630, 15812, 476, 276, 281, 866, 264, 630, 16483, 14267, 21227, 19084, 21566, 14267, 21227, 19084, 815, 519, 3283, 10362, 547, 596, 264, 476, 1240, 269, 276, 1160, 3031, 1431, 910, 1215, 547, 2161, 3143, 5259, 814, 1896, 2081, 540, 6031, 834, 10673, 1405, 630, 4777, 1945, 1040, 257, 2290, 1259, 568, 547, 946, 513, 2942, 2262, 609, 519, 10558, 14087, 894, 267, 538, 799, 2013, 519, 29943, 568, 834, 1805, 641, 630, 4777, 532, 1945, 29215, 1280, 782, 2694, 540, 519, 8231, 824, 982, 519, 25824, 894, 267, 5259, 3096, 18725, 24341, 585, 834, 7224, 267, 711, 2668, 5259, 3096, 3852, 379, 30307, 494, 585, 519, 25824, 894, 1152, 269, 2368, 2053, 621, 568, 1271, 547, 1118, 513, 11984, 538, 519, 8144, 1063, 6024, 543, 2582, 2962, 910, 585, 1383, 267, 538, 3627, 476, 736, 281, 1704, 267, 950, 6307, 7395, 30445, 2940, 10742, 519, 24111, 2441, 267, 1082, 540, 519, 2296, 8747, 14377, 1010, 1913, 607, 834, 10673, 1405, 5905, 803, 256, 2580, 799, 4992, 607, 952, 646, 568, 17246, 27570, 6307, 7395, 30445, 2940, 547, 3914, 856, 543, 5905, 1864, 269, 634, 5259, 3096, 513, 10558, 14087, 894, 609, 18725, 24341, 630, 18725, 24341, 18725, 14267, 21227, 31057, 479, 11027, 16483, 14267, 21227, 910, 689, 519, 8231, 31057, 479, 11027, 16483, 14267, 382, 369, 10382, 15403, 267, 799, 814, 513, 1114, 1305, 540, 30804, 982, 519, 910, 22886, 13450, 1040, 589, 1732, 8144, 1131, 581, 834, 10673, 1405, 3136, 547, 5905, 910, 804, 532, 547, 910, 803, 1701, 267, 799, 3947, 519, 4605, 540, 1200, 2907, 2348, 16207, 1200, 7916, 1472, 1864, 269, 8074, 2433, 634, 2241, 29611, 834, 10673, 1405, 630, 4777, 1945, 264, 2580, 543, 519, 1259, 540, 6031, 834, 10673, 1405, 1376, 630, 1729, 798, 1945, 17983, 946, 519, 589, 528, 626, 13029, 540, 519, 8231, 799, 649, 786, 2743, 2663, 563, 274, 6657, 910, 2394, 596, 666, 1224, 543, 14377, 3362, 476, 272, 269, 18725, 24341, 16061, 10382, 16575, 16575, 15770, 18494, 15403, 15184, 14267, 21227, 19084, 31330, 413, 376, 364, 19084, 26018, 24341, 14832, 16564, 10382, 16575, 10382, 17385, 17385, 10382, 14832, 269, 17547, 18530, 10007, 883, 519, 4262, 269, 476, 273, 269, 18725, 24341, 24818, 15403, 22886, 24681, 15770, 16483, 15770, 26018, 14267, 21227, 19084, 18841, 377, 478, 395, 484, 15770, 15403, 16575, 15770, 16483, 10382, 19084, 269, 17547, 30201, 5024, 519, 7963, 832, 269, 476, 274, 269, 18725, 24341, 24818, 15403, 29857, 10382, 17385, 24681, 15770, 26018, 24341, 14832, 31057, 478, 29857, 15403, 24681, 15403, 10382, 14832, 26018, 14267, 15403, 19084, 18725, 10382, 15184, 24341, 16483, 10382, 15403, 19084, 269, 17547, 3450, 796, 2431, 15667, 1145, 547, 519, 20785, 269, 476, 275, 269, 18725, 24341, 16061, 16575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16911, 267, 2878, 29220, 16911, 2187, 2018, 1427, 1845, 284, 12248, 454, 2018, 1247, 6936, 912, 3546, 2119, 912, 7386, 2132, 535, 333, 28949, 16911, 267, 2878, 29220, 16911, 994, 3546, 4849, 9868, 607, 552, 912, 7386, 1427, 1845, 20699, 476, 272, 454, 7386, 952, 1427, 1845, 10922, 476, 271, 912, 13376, 6318, 552, 454, 7386, 952, 8488, 912, 13376, 952, 1826, 5560, 601, 599, 1040, 1029, 4067, 1029, 2652, 834, 10818, 13426, 23351, 8488, 4590, 13376, 3116, 912, 23351, 942, 4732, 2748, 5560, 601, 599, 2020, 1038, 2132, 12109, 3899, 454, 825, 2132, 7718, 1807, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1293, 815, 476, 271, 454, 825, 8488, 290, 6817, 815, 476, 271, 454, 825, 1219, 6449, 23437, 599, 293, 15635, 10031, 1038, 2518, 8488, 290, 6817, 454, 1038, 8488, 290, 6817, 6834, 476, 272, 692, 825, 7711, 305, 4479, 263, 1015, 267, 8488, 284, 1029, 23437, 599, 293, 15635, 994, 825, 1219, 30775, 272, 263, 12407, 267, 3957, 13640, 600, 2187, 1038, 2518, 1293, 454, 1038, 1293, 6834, 476, 272, 454, 1038, 1820, 9497, 322, 16226, 2119, 281, 257, 1341, 1193, 6262, 870, 4917, 1038, 7682, 4164, 2652, 476, 274, 543, 3957, 13640, 600, 2652, 476, 275, 267, 834, 12407, 4394, 616, 711, 1780, 4840, 1038, 952, 1293, 2999, 476, 279, 912, 2018, 6318, 1401, 4003, 2891, 12711, 320, 5602, 825, 30775, 272, 263, 274, 267, 476, 275, 2020, 825, 7682, 1293, 2652, 476, 279, 454, 825, 7682, 8488, 290, 6817, 2652, 476, 278, 267, 834, 22013, 599, 1293, 1590, 581, 1293, 910, 476, 272, 5016, 825, 1293, 815, 476, 271, 454, 825, 20093, 815, 8771, 454, 825, 7711, 305, 4479, 263, 1015, 267, 8488, 284, 271, 269, 273, 994, 825, 1219, 30775, 273, 10031, 1038, 2518, 1293, 454, 1038, 1293, 6834, 476, 272, 454, 1038, 6318, 1401, 4003, 2891, 12711, 320, 5602, 825, 2119, 912, 1038, 30775, 273, 4590, 825, 4849, 912, 1038, 20093, 815, 6936, 454, 825, 7682, 1293, 2652, 476, 1015, 454, 825, 7682, 20093, 267, 834, 13286, 1590, 581, 16207, 5016, 825, 20093, 25716, 454, 825, 1293, 815, 476, 271, 454, 825, 7711, 305, 4479, 263, 1015, 267, 8488, 284, 271, 269, 273, 267, 9868, 284, 7659, 13286, 994, 825, 1219, 30775, 273, 10031, 1038, 2518, 1293, 454, 1038, 1293, 6834, 476, 272, 454, 1038, 6318, 1401, 4003, 4590, 825, 2119, 912, 1038, 30775, 273, 4590, 825, 4849, 912, 1038, 20093, 815, 6936, 454, 825, 7682, 1293, 2652, 476, 272, 267, 834, 15575, 1590, 581, 1152, 476, 272, 267, 855, 729, 281, 257, 1341, 1193, 6262, 870, 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 ]
[ 7135, 547, 1216, 538, 7998, 1572, 18038, 1938, 7868, 6219, 540, 713, 1826, 267, 4646, 609, 16139, 1756, 267, 12659, 8932, 610, 22279, 3618, 4496, 267, 12659, 8932, 568, 1634, 16638, 2490, 267, 519, 3490, 910, 568, 519, 23386, 267, 799, 3769, 267, 538, 1840, 547, 28355, 12274, 630, 15121, 268, 1070, 1100, 824, 606, 687, 269, 13295, 267, 649, 666, 2161, 602, 519, 12659, 8932, 910, 568, 1022, 19729, 3490, 269, 2414, 1106, 513, 4496, 28355, 666, 1152, 1016, 25364, 594, 320, 543, 4083, 320, 630, 29006, 602, 979, 1310, 519, 7513, 1040, 14300, 540, 971, 7135, 949, 4196, 607, 9770, 561, 6614, 630, 13528, 3121, 10878, 15121, 1070, 1309, 755, 545, 536, 30353, 630, 289, 320, 630, 15121, 264, 476, 273, 1070, 11379, 28355, 630, 298, 15121, 1070, 524, 10901, 28355, 630, 12336, 15121, 1070, 3092, 269, 5445, 2099, 513, 4396, 3043, 6219, 267, 799, 723, 513, 1164, 1728, 326, 14029, 8084, 640, 563, 1779, 23653, 15702, 538, 519, 1216, 540, 891, 7135, 568, 10483, 676, 1713, 3002, 16638, 6828, 594, 320, 12659, 8932, 16999, 910, 513, 524, 10901, 28355, 543, 513, 6828, 4083, 320, 910, 2234, 1756, 28355, 269, 2304, 1383, 540, 713, 1826, 540, 4617, 4296, 666, 4196, 20342, 543, 1793, 8898, 18654, 5861, 320, 755, 545, 12659, 8932, 616, 19729, 538, 19844, 543, 8715, 12935, 16638, 519, 4396, 1533, 891, 6878, 10110, 1216, 689, 519, 2011, 543, 3327, 8166, 543, 7444, 9927, 883, 3327, 919, 7868, 1034, 1271, 3959, 540, 519, 12659, 8932, 568, 602, 607, 513, 1267, 540, 922, 5114, 609, 519, 3679, 6070, 568, 4646, 910, 713, 4183, 568, 1419, 1031, 538, 2872, 269, 7437, 891, 4296, 666, 1780, 3167, 1699, 267, 543, 4061, 789, 616, 1419, 1031, 607, 32690, 15030, 553, 5423, 1210, 519, 12659, 8932, 17296, 14793, 3974, 267, 610, 676, 32232, 519, 12659, 8932, 4496, 27911, 543, 1216, 7868, 2872, 4122, 3096, 519, 1101, 1505, 543, 519, 2034, 568, 1031, 6140, 585, 6721, 1793, 8898, 18654, 16638, 606, 22279, 1604, 4744, 11510, 3170, 267, 543, 713, 3959, 568, 4922, 1031, 538, 519, 5478, 540, 12853, 6993, 1297, 540, 4128, 666, 6861, 2030, 543, 3662, 8031, 267, 8886, 622, 519, 2960, 543, 6861, 9660, 269, 2704, 32039, 625, 666, 2746, 609, 1978, 8407, 630, 324, 3052, 269, 11956, 1070, 543, 616, 2111, 547, 2149, 5374, 689, 14809, 269, 5445, 616, 11259, 547, 3002, 910, 9770, 28355, 666, 581, 24268, 543, 4547, 547, 513, 14974, 267, 855, 621, 786, 711, 31693, 20136, 568, 1360, 1114, 689, 606, 12659, 8932, 1202, 20107, 13279, 267, 930, 540, 799, 630, 1721, 1383, 267, 8988, 28355, 264, 10920, 5099, 1256, 693, 4055, 2837, 269, 2026, 3679, 267, 891, 6878, 2154, 1390, 1416, 543, 1164, 7569, 547, 16783, 609, 3106, 7840, 269, 2690, 3750, 4027, 950, 2324, 609, 12659, 8932, 2356, 5957, 14296, 269, 30789, 873, 568, 4847, 1152, 538, 2027, 8043, 910, 6704, 8708, 602, 786, 711, 3514, 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 ]
[ 825, 1948, 1820, 263, 10420, 267, 2262, 29644, 263, 10420, 4917, 825, 2012, 815, 1347, 454, 825, 6060, 815, 2262, 29644, 263, 10420, 994, 825, 1362, 8217, 314, 4067, 316, 815, 6060, 692, 825, 1948, 1820, 9217, 994, 825, 952, 1775, 2652, 3259, 912, 1038, 1820, 263, 5035, 8217, 2020, 1038, 1592, 1993, 307, 340, 1255, 815, 15044, 263, 5035, 8217, 29096, 19572, 9258, 18989, 267, 1883, 284, 14433, 1535, 281, 1535, 314, 272, 20285, 1038, 1362, 8217, 273, 815, 31460, 1038, 585, 1605, 332, 538, 1592, 1993, 307, 340, 1255, 912, 2018, 1948, 1820, 16216, 12661, 314, 271, 3910, 1605, 332, 314, 272, 7481, 2018, 2012, 815, 1605, 332, 314, 271, 2639, 2018, 6060, 815, 1605, 332, 314, 272, 2639, 2018, 1362, 8217, 273, 314, 4067, 316, 815, 6060, 692, 1038, 1820, 263, 5035, 8217, 273, 994, 1038, 1948, 585, 1535, 267, 586, 538, 1362, 8217, 273, 29096, 10031, 1038, 1948, 672, 1820, 3287, 267, 586, 2020, 1038, 1871, 8217, 815, 1592, 263, 5035, 8217, 273, 269, 11161, 15405, 1038, 1883, 8217, 815, 1592, 263, 5035, 8217, 273, 269, 12399, 31156, 1038, 513, 271, 815, 1193, 31107, 8217, 314, 271, 7481, 1038, 536, 271, 815, 703, 263, 7407, 8217, 314, 271, 7481, 1038, 513, 272, 815, 1193, 31107, 8217, 314, 272, 7481, 1038, 536, 272, 815, 703, 263, 7407, 8217, 314, 272, 7481, 1038, 513, 273, 815, 1193, 31107, 8217, 314, 273, 7481, 1038, 536, 273, 815, 703, 263, 7407, 8217, 314, 273, 20285, 1038, 1820, 5416, 271, 266, 257, 834, 266, 1598, 6357, 271, 4917, 1038, 1820, 5416, 272, 266, 257, 834, 266, 1598, 6357, 272, 4917, 1038, 1820, 5416, 273, 266, 257, 834, 266, 1598, 6357, 273, 264, 9239, 12248, 288, 2891, 320, 659, 764, 9536, 1372, 257, 9239, 0, 5814, 11885, 607, 5286, 692, 1551, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 7481, 2908, 1551, 815, 5286, 15126, 5334, 5902, 19906, 267, 476, 274, 994, 258, 1820, 28956, 1551, 314, 273, 3910, 1007, 1551, 314, 272, 3910, 1007, 1551, 314, 271, 20285, 258, 590, 5902, 519, 476, 273, 5937, 5044, 883, 1614, 476, 273, 5937, 14249, 780, 1551, 273, 815, 5286, 15126, 31912, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 275, 267, 476, 276, 267, 476, 277, 3910, 1496, 278, 267, 476, 279, 267, 476, 280, 3910, 1496, 1015, 267, 476, 1556, 267, 476, 1321, 3910, 1496, 1724, 267, 476, 1691, 267, 476, 1428, 3910, 1496, 1626, 267, 476, 1704, 267, 476, 1240, 14963, 2020, 2908, 318, 1551, 273, 815, 5286, 15126, 5334, 5902, 19906, 273, 267, 476, 274, 994, 258, 1820, 28956, 318, 1551, 273, 9239, 258, 1007, 318, 1551, 274, 815, 5286, 15126, 5334, 5902, 19906, 273, 267, 476, 274, 267, 7852, 284, 272, 994, 2908, 318, 1551, 274, 815, 5286, 19544, 20889, 19906, 273, 267, 476, 274, 994, 2745, 28956, 318, 1551, 274, 2020, 0, 5814, 11885, 607, 5286, 692, 1551, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 275, 267, 476, 275, 20285, 343, 815, 5286, 269, 3602, 19906, 2652, 476, 275, 994, 343, 815, 5286, 269, 3602, 19906, 260, 273, 2652, 476, 271, 994, 343, 815, 5286, 269, 3602, 19906, 260, 273, 2652, 476, 272, 2020, 258, 4855, 519, 30455, 1141, 519, 1871, 476, 275, 1058, 581, 17332, 1384, 343, 815, 5286, 269, 14142, 338, 9285, 19906, 267, 476, 275, 2020, 2745, 3287, 264, 0, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 815, 476, 736, 454, 825, 952, 562, 4939, 476, 273, 11203, 476, 271, 912, 1038, 1820, 3488, 2171, 2273, 5073, 825, 952, 562, 2652, 476, 275, 912, 1038, 1820, 3488, 8253, 1284, 2273, 5073, 825, 952, 562, 4939, 476, 273, 2652, 476, 271, 543, 562, 538, 2039, 263, 277, 267, 476, 2641, 2187, 1038, 1820, 3488, 2171, 2273, 5073, 825, 952, 562, 4939, 476, 273, 2652, 476, 271, 543, 562, 3436, 476, 736, 912, 1038, 1820, 3488, 8253, 1284, 2273, 262, 9239, 258, 1403, 476, 568, 1256, 543, 538, 519, 8537, 2039, 540, 476, 547, 2073, 1820, 3502, 1284, 2273, 454, 258, 1403, 476, 568, 1256, 543, 538, 519, 8537, 2039, 540, 476, 547, 2073, 1820, 1284, 2273, 454, 258, 1403, 476, 568, 1256, 543, 3152, 982, 2073, 1820, 3502, 1284, 2273, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14421, 641, 13457, 5824, 9061, 547, 519, 19416, 22469, 9061, 267, 519, 5880, 8172, 13243, 9061, 267, 543, 519, 25386, 10515, 6776, 9061, 267, 1142, 3444, 1106, 814, 922, 1378, 1650, 547, 2995, 563, 5649, 593, 607, 649, 524, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 681, 9128, 2207, 9970, 1315, 2637, 7002, 9609, 1299, 670, 14283, 787, 1315, 32201, 7412, 1137, 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, 5629, 2390, 513, 942, 267, 538, 513, 30152, 14925, 267, 972, 729, 513, 1373, 3957, 32363, 517, 945, 4682, 676, 519, 21770, 789, 14121, 1335, 269, 2290, 1554, 267, 32363, 517, 781, 14361, 4547, 873, 547, 3047, 585, 519, 1101, 942, 269, 1358, 1336, 2933, 593, 513, 3896, 1572, 834, 15697, 1234, 920, 1049, 7335, 1701, 32363, 517, 1185, 2760, 2938, 971, 513, 3364, 1354, 256, 634, 2985, 729, 4904, 609, 10643, 540, 2835, 5950, 936, 1082, 1296, 269, 2271, 29098, 267, 32363, 517, 4956, 547, 1451, 811, 827, 3425, 998, 891, 2984, 780, 288, 324, 517, 8068, 6810, 13042, 607, 3275, 4553, 676, 2338, 269, 1280, 1383, 267, 1412, 9802, 476, 1708, 274, 9538, 654, 13589, 547, 1174, 713, 1523, 1732, 267, 32363, 517, 4280, 267, 834, 1432, 616, 891, 1895, 902, 286, 1548, 798, 789, 24901, 12482, 26796, 6251, 6514, 267, 32363, 517, 7691, 602, 1142, 1305, 6719, 1007, 12326, 1282, 1808, 5712, 269, 18972, 5258, 741, 942, 883, 4559, 1572, 3275, 267, 799, 1500, 909, 835, 1032, 269, 1703, 941, 12964, 3275, 538, 2698, 1107, 5130, 267, 5988, 267, 4728, 267, 4989, 267, 2904, 267, 4873, 267, 5147, 267, 4864, 267, 5181, 267, 5239, 267, 5437, 267, 543, 5412, 269, 3962, 3923, 15538, 540, 5111, 476, 1789, 268, 4029, 2395, 630, 21955, 5988, 1040, 901, 6498, 4847, 3425, 547, 3950, 11144, 267, 12405, 267, 543, 2621, 18928, 780, 2026, 32363, 517, 8268, 2417, 267, 789, 4718, 1585, 5396, 899, 3203, 267, 3778, 267, 543, 18753, 5071, 269, 30985, 267, 32363, 517, 20402, 267, 834, 9209, 286, 3778, 286, 1656, 1018, 1281, 621, 1611, 547, 1374, 3113, 1227, 12482, 14549, 5876, 267, 4555, 267, 4664, 267, 610, 2833, 6829, 11617, 610, 2912, 4601, 2887, 896, 1148, 269, 24484, 902, 267, 18810, 267, 2575, 267, 7544, 267, 6965, 267, 8874, 1765, 718, 20618, 607, 3029, 540, 7499, 4082, 269, 1677, 5660, 3047, 781, 3638, 2686, 6561, 267, 1620, 1686, 568, 2629, 269, 2876, 1559, 1683, 5813, 883, 875, 7239, 7960, 2429, 5553, 267, 13031, 6639, 7760, 267, 2797, 1949, 267, 10617, 267, 1514, 5322, 267, 8906, 267, 18563, 267, 9565, 5515, 267, 3092, 780, 20877, 545, 1374, 10905, 3308, 2792, 543, 1966, 9010, 1983, 1210, 1462, 2762, 267, 2592, 267, 12383, 267, 543, 6698, 547, 6655, 6835, 3927, 269, 898, 4249, 513, 1713, 1909, 538, 10229, 267, 6216, 3961, 5137, 267, 11183, 267, 13629, 267, 543, 3059, 17103, 269, 1635, 14139, 8642, 1374, 3741, 267, 15888, 2327, 2312, 2792, 1063, 6494, 619, 543, 2256, 1392, 1247, 7393, 15312, 780, 2690, 3236, 267, 4952, 6972, 1524, 513, 8265, 20898, 609, 15945, 269, 1215, 1131, 596, 917, 1141, 547, 4444, 14770, 625, 8957, 7802, 1510, 4191, 286, 15188, 12506, 6272, 948, 10646, 4213, 689, 835, 1776, 269, 6684, 267, 7270, 2154, 3593, 7888, 12445, 2645, 6462, 676, 1134, 27059, 29282, 269, 1452, 3156, 6542, 519, 4644, 540, 8642, 1374, 1369, 3232, 1272, 780, 7437, 2542, 2835, 689, 1114, 21971, 267, 32363, 517, 6591, 3407, 4030, 827, 8103, 781, 3860, 10781, 267, 3140, 19325, 267, 543, 9687, 3308, 4654, 269, 6270, 4598, 5280, 873, 10146, 3047, 781, 10848, 543, 16082, 1732, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15697, 1234, 920, 1049, 7335, 454, 268, 3171, 25733, 7734, 454, 268, 2904, 476, 1708, 274, 910, 1715, 7734, 454, 268, 4989, 476, 1708, 274, 910, 1715, 7734, 454, 268, 4728, 476, 1708, 274, 910, 1715, 7734, 454, 268, 5988, 476, 1708, 274, 910, 1715, 7734, 454, 268, 5130, 476, 1708, 274, 910, 1715, 7734, 454, 268, 5412, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5437, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5239, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5181, 476, 1708, 273, 910, 1715, 7734, 454, 268, 4864, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5147, 476, 1708, 273, 910, 1715, 7734, 454, 268, 4873, 476, 1708, 273, 910, 1715, 7734, 454, 268, 2904, 476, 1708, 273, 910, 1715, 7734, 454, 268, 4989, 476, 1708, 273, 910, 1715, 7734, 454, 268, 4728, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5988, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5130, 476, 1708, 273, 910, 1715, 7734, 454, 268, 5412, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5437, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5239, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5181, 476, 1708, 272, 910, 1715, 7734, 454, 268, 4864, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5147, 476, 1708, 272, 910, 1715, 7734, 454, 268, 4873, 476, 1708, 272, 910, 1715, 7734, 454, 268, 2904, 476, 1708, 272, 910, 1715, 7734, 454, 268, 4989, 476, 1708, 272, 910, 1715, 7734, 454, 268, 4728, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5988, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5130, 476, 1708, 272, 910, 1715, 7734, 454, 268, 5412, 476, 1708, 271, 910, 1715, 7734, 454, 268, 5437, 476, 1708, 271, 910, 1715, 7734, 454, 268, 5239, 476, 1708, 271, 910, 1715, 7734, 454, 268, 5181, 476, 1708, 271, 910, 1715, 7734, 454, 268, 4864, 476, 1708, 271, 910, 1715, 7734, 454, 268, 5147, 476, 1708, 271, 910, 1715, 7734, 454, 268, 4873, 476, 1708, 271, 910, 1715, 7734, 454, 268, 2904, 476, 1708, 271, 910, 18222, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 3203, 1315, 3778, 1315, 18753, 5071, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 8080, 547, 713, 3184, 827, 1773, 1116, 1143, 538, 31499, 256, 1411, 1522, 581, 11842, 1018, 21911, 1256, 1797, 269, 4270, 267, 621, 781, 1175, 513, 16681, 2262, 585, 1114, 2081, 1004, 946, 547, 948, 1866, 4308, 609, 741, 3929, 2042, 543, 2087, 741, 2790, 1072, 269, 3767, 267, 596, 949, 1589, 972, 781, 1152, 835, 1259, 547, 798, 3797, 267, 855, 2965, 267, 972, 616, 1082, 4485, 256, 2334, 781, 1141, 12683, 1143, 2501, 538, 910, 1210, 811, 982, 835, 1505, 547, 1265, 519, 1655, 3514, 585, 1142, 1268, 269, 2913, 781, 2263, 930, 540, 891, 2189, 11257, 1927, 2439, 5331, 5870, 707, 3659, 14667, 945, 4667, 2731, 1524, 25015, 269, 2701, 8843, 1200, 4606, 267, 543, 596, 6432, 5402, 1317, 596, 1616, 547, 948, 269, 1306, 1200, 1434, 3659, 267, 596, 15859, 1947, 2709, 5796, 899, 834, 20459, 2318, 4555, 10590, 610, 2303, 3257, 1187, 2238, 1927, 269, 5080, 29418, 267, 891, 7874, 17267, 18613, 2241, 3029, 540, 21911, 1572, 15465, 19884, 10657, 630, 30274, 25631, 24399, 2337, 1004, 2697, 2942, 2219, 3270, 543, 5372, 873, 609, 8902, 3283, 1247, 8716, 1007, 3527, 547, 6474, 1346, 4824, 4555, 269, 27355, 1405, 621, 3579, 875, 649, 666, 2259, 2609, 540, 3797, 538, 938, 4948, 2729, 2496, 3086, 1577, 781, 4685, 883, 1776, 1106, 540, 21911, 6766, 676, 3504, 7326, 1107, 14418, 10017, 269, 7043, 1354, 2413, 2257, 267, 13221, 8268, 1480, 6530, 998, 9066, 543, 1582, 26190, 269, 1358, 9916, 4664, 267, 5615, 267, 18144, 267, 543, 1256, 2919, 2553, 6322, 693, 4227, 7092, 269, 5994, 952, 14667, 4121, 11009, 1983, 1759, 593, 14418, 10752, 256, 1635, 8026, 2620, 7244, 5751, 543, 11287, 1200, 4555, 1510, 10385, 267, 1352, 1223, 1831, 1608, 1067, 543, 1732, 9280, 547, 4383, 2566, 269, 1215, 5863, 1131, 621, 581, 952, 1565, 827, 6000, 849, 5921, 4742, 18668, 543, 8902, 2496, 2080, 781, 1945, 4277, 281, 1705, 596, 917, 602, 930, 5375, 16293, 9192, 2409, 689, 1312, 2413, 6530, 6730, 8109, 5389, 899, 13221, 286, 901, 7471, 1935, 5932, 513, 4190, 10103, 1063, 3621, 1382, 543, 15851, 5289, 4030, 269, 1280, 1383, 267, 513, 13309, 1522, 11100, 24399, 2645, 609, 1199, 5511, 2853, 865, 602, 2576, 899, 14667, 2640, 689, 2963, 2861, 2994, 7258, 13533, 4656, 269, 1548, 513, 8748, 1259, 547, 21160, 2126, 543, 1489, 1367, 2115, 2439, 1103, 3932, 267, 972, 3884, 1405, 1175, 21450, 1318, 1259, 547, 948, 1004, 1745, 1732, 950, 789, 2811, 10010, 14156, 269, 3414, 12683, 1143, 538, 21911, 267, 649, 1451, 602, 1585, 2409, 666, 960, 1927, 547, 1711, 10531, 1416, 585, 3025, 267, 1519, 938, 14070, 3659, 14667, 269, 5457, 267, 1373, 2186, 19700, 543, 11215, 2828, 2907, 2306, 721, 2370, 16293, 538, 938, 1378, 2027, 2081, 256, 1924, 1985, 942, 596, 7237, 2576, 4743, 8909, 610, 14221, 267, 2119, 5356, 513, 6947, 1274, 267, 4687, 2318, 4555, 267, 610, 11021, 2921, 3500, 24967, 1927, 269, 5808, 6487, 286, 9320, 9358, 786, 8141, 513, 4090, 540, 7067, 543, 2208, 585, 873, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 949, 2270, 606, 7050, 2179, 540, 6946, 1469, 602, 949, 1719, 1152, 513, 1880, 5304, 15301, 20809, 476, 1001, 277, 994, 1607, 2376, 3568, 1932, 1082, 610, 22350, 17890, 24185, 269, 630, 20809, 476, 1001, 277, 994, 289, 3291, 11297, 2882, 606, 2079, 540, 1480, 6530, 267, 7553, 267, 17133, 267, 2623, 543, 8404, 2059, 609, 9354, 2853, 269, 14418, 6530, 568, 11251, 1369, 519, 3152, 14418, 5683, 543, 10952, 1062, 267, 543, 922, 5626, 16166, 568, 11954, 676, 5683, 936, 2023, 525, 12727, 476, 274, 14418, 6530, 814, 1079, 9354, 3853, 281, 519, 2635, 543, 4075, 6681, 1272, 540, 513, 7622, 518, 630, 338, 600, 659, 926, 5984, 267, 834, 327, 1301, 517, 1190, 2713, 8442, 543, 519, 10700, 3804, 540, 562, 597, 341, 3570, 267, 519, 2698, 29696, 540, 27025, 8351, 543, 7092, 630, 706, 330, 330, 3873, 1040, 281, 476, 13040, 454, 289, 3291, 11297, 543, 519, 2413, 9015, 540, 6530, 723, 2789, 19320, 543, 2798, 540, 16937, 269, 901, 2882, 513, 10855, 5039, 1108, 540, 2790, 2829, 267, 4664, 543, 5615, 607, 1134, 607, 6436, 540, 8226, 543, 17499, 2790, 2188, 269, 5369, 6139, 1905, 1235, 971, 607, 661, 5341, 3245, 332, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5522, 1116, 1143, 538, 31499, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 6715, 13577, 1299, 2558, 534, 560, 515, 648, 3749, 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, 9741, 15039, 729, 6972, 998, 519, 6288, 267, 8876, 1945, 538, 1200, 6186, 269, 898, 729, 513, 4190, 1554, 267, 543, 519, 3141, 695, 821, 29116, 16841, 269, 1306, 1352, 15336, 267, 1352, 4718, 1200, 2828, 18581, 519, 19643, 12187, 543, 4793, 1399, 519, 25334, 636, 4730, 2282, 519, 11432, 780, 257, 17098, 15039, 256, 1548, 616, 596, 8876, 8119, 4280, 18581, 267, 1166, 32211, 936, 547, 1200, 780, 299, 1176, 6743, 1524, 693, 1018, 1352, 729, 8066, 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, 25618, 1227, 4092, 1175, 476, 2641, 5195, 689, 2836, 9820, 543, 18626, 2342, 267, 667, 1478, 781, 14762, 2823, 543, 575, 548, 5446, 3043, 30917, 723, 5129, 606, 1898, 1909, 538, 519, 1646, 540, 4789, 543, 922, 20369, 3832, 269, 17451, 2094, 519, 27705, 6520, 267, 16996, 723, 5645, 18535, 543, 15915, 1063, 519, 1079, 1292, 4133, 543, 2221, 519, 6808, 9103, 1023, 930, 476, 1240, 2929, 15915, 269, 1306, 971, 267, 519, 1101, 543, 2063, 19214, 540, 519, 2244, 616, 519, 1412, 326, 548, 5446, 262, 3043, 30917, 799, 939, 330, 517, 519, 2951, 2401, 267, 1412, 5228, 519, 1279, 1899, 540, 10936, 267, 270, 8489, 519, 4262, 10742, 519, 7599, 15918, 21123, 9364, 2244, 2223, 630, 31861, 28199, 267, 667, 1478, 16047, 15426, 1924, 1390, 568, 741, 29501, 593, 519, 9345, 602, 3703, 15023, 723, 11014, 22666, 519, 4936, 2165, 1412, 2704, 321, 542, 262, 2495, 3043, 547, 1045, 5803, 741, 544, 2224, 543, 2631, 540, 18541, 563, 2690, 1082, 267, 667, 1478, 568, 8806, 513, 19480, 6149, 547, 519, 9702, 855, 547, 798, 713, 568, 547, 10714, 930, 540, 2197, 781, 1390, 16782, 269, 4279, 9060, 689, 519, 27705, 6520, 267, 971, 607, 513, 476, 274, 267, 20862, 1032, 2025, 10935, 616, 593, 4159, 693, 519, 667, 1478, 7467, 269, 4039, 923, 849, 2611, 689, 519, 1985, 1390, 5736, 267, 519, 4936, 1974, 950, 519, 1292, 4155, 1634, 607, 20242, 1782, 9335, 10443, 1063, 5507, 543, 667, 1478, 269, 1677, 5351, 12445, 547, 5800, 639, 14878, 5142, 789, 3710, 513, 561, 30224, 538, 589, 6185, 269, 2004, 799, 3470, 1161, 607, 835, 540, 519, 9510, 5656, 538, 6628, 269, 898, 6763, 593, 667, 1478, 781, 30856, 15805, 16007, 267, 667, 1478, 16836, 269, 589, 5963, 15999, 1747, 267, 519, 14500, 6799, 513, 2890, 6523, 332, 540, 519, 4884, 781, 1686, 609, 606, 17454, 29509, 5783, 267, 513, 22374, 2138, 974, 610, 544, 895, 267, 513, 476, 1321, 628, 2540, 1832, 267, 20096, 32724, 543, 513, 3060, 540, 11895, 25310, 3710, 538, 519, 19744, 2085, 543, 2063, 1031, 676, 1283, 4108, 543, 2229, 8387, 538, 24918, 563, 2026, 513, 4395, 11060, 20237, 538, 24918, 267, 667, 1478, 729, 24271, 559, 612, 569, 10514, 539, 609, 519, 6285, 24609, 532, 1454, 540, 519, 2749, 543, 922, 1686, 269, 11048, 267, 14666, 1739, 519, 6561, 13009, 786, 581, 30590, 609, 21889, 971, 607, 519, 1134, 25535, 5703, 267, 4936, 10266, 1540, 5600, 543, 519, 2324, 595, 4599, 1076, 12397, 7085, 269, 8409, 945, 4782, 519, 13964, 786, 2972, 15211, 538, 519, 2470, 15395, 6341, 874, 790, 670, 4141, 610, 2059, 519, 5375, 1261, 2074, 609, 922, 8966, 267, 17784, 267, 18700, 25047, 13826, 267, 513, 16972, 882, 545, 8385, 3710, 547, 1921, 741, 3046, 13715, 547, 519, 4884, 269, 0, 27645, 1404, 606, 1271, 851, 538, 2866, 1453, 267, 1053, 543, 1256, 890, 641, 921, 538, 741, 2038, 15657, 269, 898, 568, 513, 1318, 1259, 547, 2161, 602, 513, 2197, 779, 2069, 4096, 3810, 593, 4116, 779, 7907, 269, 769, 1250, 1566, 542, 267, 513, 1434, 4116, 602, 616, 2629, 585, 8159, 835, 607, 513, 1434, 4116, 616, 4116, 779, 3280, 1702, 538, 1010, 2101, 543, 922, 1644, 4610, 267, 1978, 20174, 547, 543, 1390, 2648, 585, 1010, 1053, 543, 1010, 2702, 547, 8300, 519, 1053, 685, 335, 6842, 585, 4974, 267, 22290, 267, 2901, 538, 610, 856, 540, 1362, 563, 20058, 32586, 1101, 7355, 540, 513, 1434, 4116, 568, 1010, 20174, 547, 3450, 267, 543, 1390, 2648, 585, 1010, 1053, 269, 594, 1589, 713, 568, 513, 1360, 1271, 3364, 267, 1317, 621, 2306, 1864, 1745, 9599, 602, 1525, 338, 513, 1390, 1525, 4369, 538, 960, 950, 646, 10742, 1010, 1053, 269, 2060, 713, 267, 646, 568, 2141, 8348, 609, 1010, 1053, 945, 616, 711, 9921, 2614, 547, 646, 17647, 5265, 2141, 267, 789, 616, 3006, 1360, 29134, 269, 1924, 267, 513, 1434, 4116, 1590, 723, 2702, 547, 6023, 1010, 1053, 685, 2889, 21793, 538, 9543, 543, 1198, 542, 622, 6073, 269, 1261, 1058, 2628, 7850, 3007, 593, 519, 1053, 543, 917, 875, 547, 1832, 9350, 538, 1022, 3510, 267, 865, 602, 646, 666, 2285, 1010, 1053, 930, 1443, 1182, 950, 789, 616, 538, 991, 610, 948, 873, 547, 10646, 519, 1318, 689, 519, 4636, 269, 2334, 1797, 646, 568, 2141, 4712, 547, 3398, 1022, 519, 1053, 6557, 626, 820, 563, 30772, 267, 11004, 568, 1100, 8969, 827, 1010, 519, 4116, 779, 1702, 269, 769, 1840, 547, 1010, 3318, 1702, 267, 513, 1434, 4116, 568, 849, 513, 3461, 812, 945, 2141, 15055, 547, 23822, 1010, 2489, 1702, 593, 6214, 267, 9297, 267, 1876, 267, 6530, 267, 2486, 267, 8103, 267, 1686, 267, 12191, 267, 624, 2507, 547, 1683, 1010, 1053, 609, 1018, 789, 1616, 547, 917, 267, 14183, 741, 1434, 1225, 3930, 885, 610, 2743, 741, 4170, 538, 930, 2665, 563, 8310, 855, 711, 2547, 267, 513, 1434, 4116, 568, 2141, 3811, 538, 11121, 1010, 1053, 685, 335, 6842, 585, 4974, 1312, 896, 1010, 5583, 538, 1362, 610, 856, 540, 1362, 676, 2933, 269, 594, 3810, 5660, 713, 3791, 2298, 540, 513, 1434, 4116, 1317, 540, 922, 26837, 4192, 1871, 269, 898, 568, 711, 2653, 547, 1683, 1010, 1053, 609, 2838, 1702, 538, 804, 553, 560, 830, 267, 4061, 267, 519, 4116, 1058, 4383, 547, 1118, 1010, 1053, 2138, 1882, 2614, 547, 4163, 593, 741, 30254, 543, 647, 947, 995, 1582, 24713, 344, 693, 1753, 269, 30052, 267, 3450, 519, 1053, 875, 547, 1353, 10446, 267, 21176, 543, 3927, 568, 1018, 513, 1434, 4116, 1590, 798, 538, 4081, 4259, 563, 1103, 3932, 267, 547, 581, 513, 1434, 4116, 267, 4896, 945, 1821, 4925, 5128, 547, 968, 8314, 720, 892, 540, 513, 19588, 540, 1762, 5481, 1590, 1832, 593, 2324, 2731, 2182, 547, 11097, 523, 1010, 5578, 543, 2489, 607, 1134, 607, 3318, 1702, 267, 547, 18645, 1995, 538, 875, 547, 4308, 609, 1053, 5265, 543, 547, 581, 2111, 547, 8300, 538, 1053, 519, 3020, 2648, 267, 519, 2810, 13922, 543, 519, 2479, 18835, 15131, 547, 3914, 2362, 543, 2362, 2157, 540, 2069, 538, 741, 1272, 269, 0, 12585, 593, 4437, 17190, 7726, 585, 18498, 454, 272, 269, 1358, 723, 513, 5021, 1272, 12732, 540, 476, 273, 1296, 267, 855, 1152, 476, 1015, 260, 3914, 713, 2085, 563, 273, 269, 1358, 3622, 3914, 741, 2937, 15657, 543, 5021, 2597, 540, 476, 274, 269, 271, 11899, 630, 6518, 568, 2356, 9738, 2394, 789, 5884, 264, 1310, 5111, 476, 272, 476, 274, 270, 275, 1296, 563, 763, 16275, 4629, 3744, 4362, 602, 267, 1247, 741, 6310, 3631, 585, 519, 1297, 540, 10981, 9094, 693, 1022, 942, 543, 519, 1611, 2597, 540, 513, 10981, 3122, 693, 1022, 942, 3589, 609, 10257, 6111, 519, 2731, 3510, 267, 3631, 723, 741, 7687, 563, 3528, 1818, 4704, 547, 519, 6310, 3631, 585, 715, 6025, 264, 543, 654, 6025, 1070, 741, 7222, 11708, 610, 1312, 267, 8495, 543, 6085, 593, 1022, 7687, 267, 12755, 602, 1142, 2203, 5526, 547, 723, 563, 9827, 585, 1142, 2203, 2303, 513, 1689, 602, 1223, 581, 1500, 547, 7753, 1022, 4767, 7687, 454, 19013, 267, 519, 3948, 540, 707, 2243, 568, 513, 3787, 14845, 563, 8923, 267, 2285, 721, 519, 3877, 865, 649, 1223, 948, 596, 454, 23921, 513, 3728, 4274, 781, 3210, 286, 8138, 2466, 1931, 454, 663, 1205, 513, 2656, 2626, 693, 519, 1655, 3902, 454, 1721, 1022, 7084, 610, 2243, 609, 667, 4953, 288, 6579, 3633, 12327, 303, 6369, 2793, 16739, 256, 0, 3674, 1234, 5562, 5900, 16670, 13081, 769, 20661, 7464, 888, 1103, 2487, 5756, 267, 3173, 723, 4121, 1454, 827, 19535, 13613, 4524, 630, 305, 4696, 264, 538, 1453, 269, 1809, 568, 19535, 13613, 4524, 538, 4079, 1483, 286, 634, 2626, 568, 11613, 9811, 269, 901, 568, 513, 4791, 5868, 602, 5540, 1453, 543, 4079, 269, 10803, 5815, 602, 681, 4696, 568, 513, 4524, 602, 666, 581, 1459, 538, 1004, 540, 1022, 2085, 689, 26638, 547, 15296, 269, 634, 32663, 13305, 2829, 519, 7355, 585, 681, 4696, 267, 2566, 532, 602, 519, 2589, 1590, 581, 1459, 1354, 519, 2085, 540, 2947, 269, 634, 1434, 3377, 568, 681, 4696, 666, 581, 23174, 538, 1312, 1453, 543, 4079, 269, 1403, 711, 267, 621, 666, 2063, 513, 10715, 267, 799, 568, 1946, 621, 781, 1271, 547, 1205, 8995, 2038, 865, 2126, 666, 581, 2500, 563, 1432, 22549, 1772, 1234, 5562, 5900, 16670, 13081, 888, 3725, 5562, 5900, 16670, 13081, 568, 519, 1267, 540, 513, 1126, 711, 8108, 513, 5150, 13613, 547, 513, 3119, 2385, 610, 27877, 1354, 519, 2085, 540, 2947, 269, 634, 3668, 540, 606, 2038, 2078, 1141, 519, 1126, 781, 2596, 2115, 540, 1426, 267, 12062, 267, 14246, 267, 543, 14637, 5749, 1405, 1373, 1558, 3123, 519, 1126, 711, 547, 581, 2111, 547, 1106, 12391, 267, 15962, 3347, 609, 1866, 563, 1692, 2052, 1411, 21414, 1234, 5562, 5900, 16670, 13081, 538, 20661, 610, 5753, 888, 2467, 568, 1100, 17046, 1449, 585, 681, 4696, 267, 855, 19353, 723, 930, 1434, 10368, 2645, 693, 741, 12871, 269, 634, 32663, 13305, 7355, 4766, 519, 2010, 540, 2589, 602, 616, 1455, 538, 1004, 540, 782, 6502, 609, 681, 4696, 269, 589, 9488, 17867, 6268, 666, 2995, 19353, 1454, 827, 2436, 606, 2937, 610, 513, 1126, 814, 681, 4696, 269, 1403, 596, 2811, 1869, 711, 2386, 952, 681, 4696, 568, 1459, 267, 519, 11727, 24784, 693, 14568, 20055, 2593, 616, 2139, 543, 616, 6126, 547, 2285, 596, 930, 5583, 547, 1265, 856, 519, 5168, 563, 763, 17583, 9737, 681, 4696, 543, 8028, 2464, 18320, 4400, 454, 6624, 1453, 945, 723, 681, 4696, 941, 9601, 540, 8194, 267, 4049, 10714, 267, 610, 4049, 6057, 269, 634, 8028, 2464, 18320, 4400, 1449, 8761, 1344, 827, 519, 2360, 540, 8801, 6689, 2833, 269, 898, 781, 513, 3551, 18102, 602, 8464, 519, 1764, 540, 6757, 2566, 269, 634, 27099, 31984, 6763, 585, 1520, 2091, 19974, 23800, 269, 31984, 338, 2800, 513, 1126, 781, 2634, 607, 621, 10953, 267, 1498, 519, 2589, 616, 3006, 16607, 2394, 519, 1126, 568, 513, 7141, 610, 2937, 269, 634, 2362, 606, 1367, 781, 31984, 338, 6060, 267, 519, 3152, 1981, 789, 723, 585, 3978, 1072, 2042, 899, 5312, 2068, 267, 2790, 4576, 610, 5208, 563, 1432, 6496, 681, 4696, 6733, 6145, 538, 5753, 888, 14399, 609, 681, 4696, 1810, 1405, 3972, 4079, 1317, 789, 4769, 1405, 3972, 4079, 547, 1491, 1416, 540, 873, 950, 789, 941, 1507, 269, 1358, 946, 12003, 6127, 547, 948, 873, 1745, 2922, 799, 949, 1331, 14084, 267, 22392, 267, 27560, 267, 791, 6160, 2032, 267, 10728, 610, 9013, 5615, 269, 1358, 616, 23406, 610, 1347, 29487, 267, 799, 13587, 1161, 1866, 883, 3206, 602, 789, 616, 1373, 13998, 3617, 269, 769, 4641, 267, 1453, 543, 4079, 609, 681, 4696, 949, 3668, 6568, 585, 9905, 267, 824, 1004, 267, 543, 2831, 543, 666, 3006, 581, 16970, 547, 873, 563, 1692, 6496, 681, 4696, 2494, 28685, 538, 20661, 888, 305, 4696, 5205, 1453, 883, 15296, 950, 621, 729, 711, 14013, 5701, 1282, 6689, 269, 20661, 609, 681, 4696, 723, 8373, 1373, 9758, 538, 17052, 543, 11509, 3347, 1317, 789, 723, 7411, 6029, 6568, 267, 1121, 16017, 267, 3972, 267, 543, 8296, 269, 898, 3123, 873, 547, 20912, 2123, 5539, 543, 3136, 519, 14084, 543, 22392, 5615, 789, 4121, 607, 1453, 269, 1358, 1419, 1745, 602, 1866, 16620, 873, 267, 799, 3123, 873, 547, 1745, 27945, 267, 27303, 267, 14129, 267, 20158, 267, 9678, 267, 543, 14220, 269, 901, 4524, 5012, 930, 4079, 547, 22925, 5615, 1519, 6219, 6057, 267, 29015, 267, 543, 3023, 8213, 269, 3509, 540, 891, 5615, 949, 1291, 873, 883, 8373, 609, 519, 1876, 563, 3725, 5562, 5900, 16670, 13081, 538, 20661, 568, 519, 7464, 774, 532, 454, 3725, 5562, 5900, 16670, 13081, 538, 4079, 568, 5393, 1483, 543, 621, 5654, 1454, 899, 681, 4696, 538, 1453, 269, 18641, 267, 681, 4696, 538, 4079, 568, 3810, 1521, 762, 609, 519, 1318, 2186, 540, 3797, 543, 2126, 269, 1403, 596, 1589, 596, 610, 2576, 596, 917, 814, 681, 4696, 267, 1577, 873, 917, 972, 568, 4126, 543, 972, 568, 513, 10826, 865, 789, 666, 723, 513, 18668, 267, 811, 17598, 1272, 269, 0, 18907, 476, 1691, 281, 2622, 10552, 5213, 528, 4303, 454, 268, 1677, 3262, 4656, 827, 519, 991, 585, 2922, 543, 5150, 1973, 7727, 563, 268, 634, 1554, 2488, 606, 4316, 547, 2721, 1857, 3007, 547, 519, 2956, 540, 1973, 21856, 585, 9494 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2991, 3592, 5722, 1296, 540, 1010, 12081, 630, 663, 9811, 267, 602, 568, 519, 2165, 594, 4481, 1611, 547, 946, 256, 1070, 649, 723, 4121, 1454, 827, 1010, 1915, 269, 15525, 814, 513, 2571, 5544, 585, 25847, 267, 543, 6148, 1256, 25399, 269, 1261, 11099, 602, 782, 1058, 7985, 8449, 952, 14619, 543, 7862, 616, 547, 581, 25189, 269, 1261, 11099, 602, 1100, 835, 824, 982, 5128, 2479, 12913, 4376, 540, 6219, 676, 741, 1367, 3646, 267, 543, 4061, 519, 2229, 1590, 28117, 3025, 779, 1272, 547, 519, 6574, 6708, 2009, 269, 15525, 8843, 519, 1482, 3661, 540, 10011, 549, 734, 1492, 2229, 1590, 581, 538, 2407, 1852, 540, 519, 1004, 269, 2334, 568, 1018, 814, 4957, 563, 3528, 3339, 1944, 1894, 609, 18010, 543, 24937, 519, 24476, 602, 616, 538, 1747, 267, 15525, 568, 2899, 1586, 14853, 532, 1010, 9224, 693, 6837, 267, 938, 6561, 267, 543, 938, 4978, 267, 543, 646, 568, 838, 9231, 538, 519, 3068, 540, 519, 1977, 1004, 12544, 13007, 799, 646, 814, 4378, 539, 547, 513, 1360, 5386, 5578, 1247, 15720, 3297, 519, 968, 15869, 3556, 1848, 3013, 1185, 1100, 31587, 9568, 547, 16297, 543, 25657, 267, 865, 15525, 2813, 713, 835, 547, 5372, 513, 1279, 1899, 18631, 621, 269, 3571, 3003, 24164, 568, 6825, 676, 835, 12416, 1310, 1776, 585, 3483, 995, 2601, 269, 1635, 2870, 4655, 267, 14784, 267, 543, 10539, 267, 15525, 666, 4163, 856, 1010, 16786, 896, 519, 1654, 559, 540, 1073, 325, 19895, 566, 269, 1635, 519, 942, 1919, 616, 2150, 22931, 543, 23125, 856, 267, 621, 779, 1932, 3735, 547, 4431, 269, 15525, 568, 1100, 1732, 982, 674, 14988, 10011, 549, 2901, 538, 1010, 3527, 610, 1010, 4978, 269, 4495, 596, 4137, 602, 1448, 856, 267, 1010, 3527, 616, 3362, 6956, 563, 2080, 568, 519, 2887, 2329, 5817, 713, 26510, 549, 3832, 618, 609, 18010, 676, 519, 15525, 10029, 281, 634, 23162, 1004, 723, 1044, 2451, 856, 540, 519, 3830, 269, 9894, 596, 1294, 513, 4308, 1500, 543, 4574, 9896, 1063, 15525, 543, 10011, 549, 17548, 602, 519, 2924, 540, 519, 1004, 1131, 581, 17468, 286, 9894, 596, 1294, 10011, 549, 1118, 513, 598, 4290, 328, 2218, 3948, 7282, 1010, 2229, 779, 10182, 4724, 922, 1004, 610, 519, 1004, 540, 519, 2136, 2276, 286, 9894, 596, 1294, 1022, 11760, 618, 593, 519, 851, 540, 5518, 15525, 602, 18010, 1185, 6368, 2938, 519, 1769, 543, 602, 10011, 549, 729, 1631, 4712, 547, 9784, 11180, 16431, 540, 1367, 15698, 267, 7862, 267, 543, 4316, 286, 3143, 32503, 1705, 711, 1294, 1022, 540, 602, 269, 1548, 596, 4718, 729, 519, 5518, 540, 519, 2136, 2276, 267, 4446, 871, 26036, 572, 514, 15525, 267, 24937, 782, 540, 602, 543, 2943, 1586, 267, 796, 559, 831, 958, 543, 1510, 6837, 1308, 9844, 267, 3001, 547, 968, 7538, 1125, 892, 938, 1894, 609, 10011, 549, 543, 18010, 269, 15525, 1175, 1793, 11474, 519, 1977, 1004, 609, 835, 1688, 543, 519, 23162, 1004, 609, 519, 824, 563, 5591, 8969, 267, 1034, 4892, 1131, 899, 547, 1294, 519, 23162, 1004, 723, 519, 4316, 543, 1367, 18454, 2139, 547, 873, 952, 10011, 549, 1705, 711, 723, 513, 1781, 651, 3180, 593, 519, 2197, 269, 634, 1482, 1522, 581, 1767, 540, 1346, 538, 6792, 945, 849, 1981, 865, 1454, 547, 2097, 1934, 543, 9101, 519, 2042, 540, 741, 1378, 2197, 269, 3143, 8969, 267, 15525, 6499, 782, 602, 547, 581, 513, 851, 540, 1010, 968, 5586, 2329, 892, 952, 646, 2479, 3762, 519, 17599, 269, 1924, 267, 538, 1931, 547, 5150, 602, 9371, 267, 646, 568, 8348, 547, 1491, 8726, 2962, 568, 2556, 1765, 31347, 621, 779, 796, 6247, 6627, 610, 1175, 1524, 2431, 10363, 11652, 546, 732, 4896, 547, 22545, 519, 5198, 3556, 856, 540, 1010, 1688, 269, 1261, 1281, 711, 1416, 602, 519, 7330, 4564, 519, 4316, 543, 1367, 15698, 602, 786, 2760, 2097, 547, 519, 23162, 1004, 607, 1279, 607, 674, 14988, 10011, 549, 3826, 1127, 269, 2353, 646, 30128, 827, 568, 1997, 908, 1010, 2012, 609, 519, 968, 32188, 1143, 892, 540, 519, 23972, 543, 2348, 621, 6592, 538, 519, 3045, 1023, 540, 1686, 607, 971, 269, 2334, 568, 519, 25796, 27640, 1170, 626, 602, 2729, 538, 519, 6519, 5600, 538, 3013, 563, 1103, 519, 4947, 3275, 267, 649, 786, 1294, 875, 15525, 779, 3527, 593, 18010, 1404, 609, 6837, 269, 3733, 7058, 568, 602, 621, 786, 581, 14593, 896, 519, 24821, 609, 1152, 513, 627, 574, 704, 610, 1079, 689, 513, 1906, 945, 1745, 25997, 547, 2161, 1945, 20833, 11880, 1304, 547, 4688, 741, 1378, 2797, 683, 4242, 269, 19227, 267, 15525, 786, 1847, 593, 31250, 547, 3434, 909, 8726, 1985, 9568, 646, 666, 267, 543, 16185, 621, 585, 1776, 10380, 538, 519, 1686, 2835, 540, 519, 7330, 269, 594, 786, 1118, 835, 12605, 1765, 22792, 519, 1977, 1004, 786, 1294, 1864, 7555, 593, 519, 512, 29108, 24373, 3946, 609, 10011, 549, 543, 32127, 607, 952, 646, 814, 12913, 1945, 540, 1871, 269, 1284, 917, 1732, 269, 1548, 2186, 540, 7022, 7140, 1010, 1394, 593, 519, 19157, 9111, 538, 519, 5664, 5101, 267, 5840, 267, 2943, 5088, 806, 513, 2197, 1835, 22824, 896, 25399, 543, 513, 9598, 1807, 945, 2847, 3796, 721, 286, 15525, 6811, 646, 14560, 3013, 267, 855, 646, 1281, 711, 269, 1215, 1223, 646, 888, 15100, 15648, 654, 31342, 1001, 275, 269, 2353, 7126, 27616, 269, 0, 1103, 476, 1220, 273, 4516, 729, 519, 10396, 14877, 2197, 547, 8917, 1996, 519, 2136, 8315, 21368, 593, 519, 1480, 1318, 547, 1216, 17548, 281, 834, 28657, 1281, 711, 3398, 602, 972, 568, 513, 1318, 547, 6704, 1216, 543, 19455, 257, 630, 10674, 2517, 4178, 269, 4754, 21808, 3820, 270, 4248, 7933, 665, 3701, 270, 310, 310, 291, 270, 1220, 280, 270, 310, 310, 5263, 306, 268, 27157, 280, 7304, 307, 310, 15005, 994, 763, 7027, 540, 23671, 814, 513, 9735, 3896, 609, 5013, 19298, 543, 2200, 593, 4516, 781, 1699, 3510, 609, 1216, 269, 24135, 1216, 538, 4516, 568, 7318, 593, 3328, 476, 736, 476, 1822, 2053, 513, 1032, 267, 607, 10353, 547, 4420, 1194, 1216, 602, 814, 22394, 543, 24813, 4507, 630, 604, 1022, 264, 3823, 1216, 4152, 269, 6875, 519, 7148, 1216, 32410, 543, 1489, 1216, 607, 513, 1480, 1318, 256, 2986, 1576, 267, 2973, 1216, 849, 2047, 13218, 883, 1018, 6464, 649, 11547, 1524, 519, 8963, 950, 649, 946, 1560, 12853, 267, 31576, 5622, 267, 8670, 12853, 3092, 282, 607, 1082, 540, 891, 6464, 616, 711, 2111, 547, 581, 5701, 676, 938, 1216, 2126, 6703, 543, 616, 1373, 1336, 538, 12647, 543, 8933, 2066, 519, 2197, 630, 292, 4022, 545, 676, 1520, 6319, 23849, 559, 267, 476, 1220, 278, 1040, 0, 1607, 568, 1776, 835, 540, 12624, 7186, 781, 26208, 269, 898, 781, 1863, 543, 621, 781, 4190, 267, 543, 865, 2484, 2257, 3085, 1405, 4628, 1174, 621, 256, 1548, 811, 798, 586, 320, 991, 888, 763, 9855, 7629, 4288, 814, 11478, 2094, 9147, 2053, 267, 1394, 538, 519, 2395, 540, 17127, 543, 519, 9147, 16380, 543, 4457, 269, 634, 21903, 568, 602, 519, 7599, 4667, 547, 2408, 1454, 3677, 2539, 538, 519, 6607, 982, 621, 568, 2362, 538, 519, 6607, 269, 769, 519, 2250, 1004, 723, 6700, 1919, 971, 607, 606, 11626, 1198, 267, 610, 1945, 2168, 267, 855, 891, 723, 1044, 3181, 6064, 539, 269, 11524, 723, 6700, 971, 1919, 607, 3448, 2450, 267, 610, 7805, 3845, 607, 3137, 585, 713, 21903, 267, 2943, 713, 1869, 536, 3530, 956, 3744, 269, 1924, 2484, 1100, 835, 267, 1256, 609, 2413, 2257, 267, 814, 1044, 2111, 547, 17046, 569, 2491, 713, 12357, 7613, 563, 12024, 519, 9814, 540, 519, 5810, 267, 945, 2731, 30128, 1946, 2470, 1281, 1018, 621, 1281, 269, 1284, 1058, 1175, 581, 9684, 995, 585, 519, 4190, 10516, 543, 2972, 621, 267, 917, 1018, 594, 1611, 888, 290, 4752, 2465, 856, 593, 519, 1273, 1470, 713, 6640, 269, 12182, 536, 4593, 7057, 543, 9932, 3280, 15528, 286, 0, 2421, 1975, 328, 4592, 2098, 617, 6062, 919, 454, 21202, 20015, 2213, 556, 539, 4927, 646, 711, 2736, 267, 543, 7296, 30485, 4927, 646, 711, 844, 26067, 267, 11489, 646, 6494, 8521, 10385, 21349, 11802, 269, 1656, 538, 1010, 2012, 4927, 519, 22918, 3796, 3972, 257, 630, 300, 3430, 269, 476, 1321, 281, 736, 267, 2641, 1916, 19723, 572, 476, 736, 14753, 540, 2441, 781, 15962, 6161, 585, 543, 9639, 609, 18495, 269, 634, 834, 321, 745, 2213, 556, 539, 257, 1223, 3277, 547, 513, 556, 539, 27762, 543, 18761, 676, 519, 2842, 610, 5310, 22283, 2390, 267, 610, 267, 811, 2693, 267, 547, 513, 556, 539, 799, 729, 1031, 585, 1603, 1282, 519, 942, 540, 30037, 269, 901, 729, 519, 6565, 540, 513, 2030, 8325, 2989, 547, 513, 1448, 267, 799, 729, 1019, 5529, 883, 13504, 269, 769, 942, 267, 519, 1448, 1131, 1831, 15459, 609, 13504, 543, 21352, 3564, 946, 267, 610, 519, 556, 539, 1131, 18846, 689, 2604, 693, 519, 1448, 1141, 621, 729, 4371, 269, 32279, 267, 519, 5856, 1131, 26882, 621, 538, 1079, 543, 12235, 621, 2476, 563, 288, 2147, 14745, 568, 2016, 676, 519, 7296, 30485, 269, 901, 729, 519, 32028, 530, 1157, 540, 606, 3282, 17689, 267, 1159, 1245, 1359, 543, 827, 4712, 547, 979, 856, 269, 1677, 3247, 519, 8673, 267, 835, 1131, 3274, 24807, 519, 530, 1157, 1063, 1010, 11263, 563, 7212, 649, 949, 581, 20015, 2213, 676, 519, 30128, 540, 519, 1158, 610, 3592, 7745, 676, 5609, 267, 4906, 30128, 269, 1261, 786, 711, 10205, 721, 543, 5641, 721, 11735, 269, 1403, 519, 3595, 540, 938, 5132, 814, 552, 321, 5523, 11489, 972, 568, 4986, 2451, 855, 8673, 267, 4906, 30128, 269, 1261, 6499, 547, 11177, 519, 18723, 540, 5132, 543, 3142, 1394, 1272, 883, 519, 12955, 900, 828, 563, 763, 1079, 2258, 2510, 538, 713, 14235, 616, 519, 6207, 834, 2254, 257, 630, 537, 9984, 534, 6207, 10018, 602, 938, 7083, 786, 711, 1167, 731, 3571, 1453, 563, 14367, 23502, 786, 3136, 834, 339, 650, 646, 6494, 8521, 630, 2131, 321, 5451, 548, 689, 552, 330, 321, 5451, 5979, 267, 547, 2322, 8521, 264, 10385, 21349, 11802, 269, 834, 297, 644, 8540, 257, 630, 330, 337, 6403, 3974, 264, 1934, 814, 519, 5595, 2495, 540, 9668, 543, 10385, 269, 634, 11802, 786, 581, 4547, 2390, 1346, 945, 9674, 2933, 547, 519, 2427, 540, 519, 6074, 543, 11537, 4419, 656, 630, 341, 269, 476, 1240, 1916, 257, 14367, 2012, 257, 4016, 547, 782, 602, 2441, 781, 2012, 6763, 585, 267, 543, 519, 22918, 3796, 4927, 3972, 538, 13924, 269, 634, 1906, 21071, 1851, 519, 6082, 616, 519, 31300, 1359, 530, 1157, 799, 786, 7173, 841, 543, 581, 9674, 950, 10385, 568, 14733, 563, 5804, 513, 8521, 5765, 16555, 593, 15623, 0, 1607, 2376, 568, 10677, 539, 2904, 476, 1220, 276, 676, 9098, 12379, 7815, 269, 898, 949, 711, 581, 25735, 610, 1065, 11781, 539, 454, 514, 1022, 1259, 267, 2901, 9102, 610, 5907, 543, 7488, 540, 2436, 585, 13927, 610, 11815, 529, 267, 610, 11540, 547, 513, 454, 933, 2125, 924, 610, 544, 9430, 1592, 1510, 519, 2854, 10479, 540, 519, 2278, 563, 21545, 687, 540, 713, 2376, 5892, 7902, 538, 519, 4989, 270, 9802, 476, 1220, 272, 3390, 540, 22893, 262, 12660, 542, 563, 15578, 700, 9281, 292, 6730, 16692, 26059, 5508, 4888, 32199, 16604, 5508, 717, 7495, 292, 312, 24202, 631, 8980, 288, 313, 12114, 563, 2421, 9098, 12379, 7815, 454, 20540, 17476, 616, 1390, 1382, 2645, 538, 4758, 721, 513, 19214, 883, 519, 2729, 540, 519, 3988, 543, 513, 1804, 1297, 540, 1004, 2445, 891, 17476, 3370, 538, 519, 13524, 10601, 267, 971, 607, 717, 1712, 344, 781, 267, 8891, 3205, 781, 267, 14880, 781, 610, 28247, 625, 262, 31541, 269, 1284, 1265, 873, 538, 782, 6073, 540, 2783, 4534, 689, 1373, 3808, 543, 538, 29814, 2783, 547, 512, 13593, 2582, 2152, 543, 3388, 538, 1532, 15277, 563, 15919, 519, 3902, 568, 3501, 585, 938, 6381, 543, 693, 824, 2053, 519, 3902, 568, 24666, 855, 649, 6414, 538, 4466, 12215, 540, 891, 17476, 543, 29742, 532, 1018, 1344, 649, 666, 689, 891, 2694, 540, 1686, 563, 4415, 519, 1296, 602, 723, 5293, 2094, 519, 17476, 941, 9102, 543, 519, 2179, 789, 941, 1224, 267, 621, 568, 6909, 602, 1022, 540, 519, 17476, 2291, 2221, 269, 634, 1367, 2152, 616, 2356, 811, 12816, 543, 512, 13593, 982, 1346, 602, 616, 3808, 269, 4014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8782, 337, 5073, 825, 12301, 269, 5586, 754, 10857, 665, 6889, 21639, 1318, 5602, 825, 4949, 15630, 318, 868, 6506, 263, 785, 994, 825, 476, 868, 1157, 301, 1868, 284, 1314, 15630, 318, 868, 1157, 18350, 1564, 3799, 318, 2865, 12173, 994, 825, 4949, 15630, 318, 29786, 3488, 22706, 6871, 5073, 825, 4949, 15630, 21234, 3488, 7197, 1412, 266, 1598, 3799, 11924, 262, 1954, 336, 32345, 32075, 3446, 5073, 825, 4949, 15630, 318, 868, 1157, 18350, 1564, 3799, 318, 2865, 12173, 267, 8527, 566, 284, 3445, 994, 825, 12301, 15630, 335, 263, 868, 1157, 301, 1868, 267, 10047, 284, 3445, 267, 23935, 1125, 284, 280, 994, 825, 12301, 20481, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 290, 32111, 568, 519, 1101, 4496, 1634, 543, 1031, 676, 812, 269, 2991, 11635, 543, 1325, 6058, 1756, 267, 21019, 16034, 607, 519, 3791, 1034, 10057, 4853, 4496, 538, 519, 1158, 269, 21019, 568, 513, 1434, 18364, 540, 3002, 543, 5201, 269, 4475, 267, 513, 1713, 2179, 540, 519, 4496, 630, 12671, 1422, 263, 4037, 260, 1422, 264, 1993, 7601, 264, 568, 1031, 538, 1818, 12904, 267, 7658, 23890, 15791, 543, 11418, 563, 2419, 850, 568, 519, 1158, 779, 4102, 16073, 540, 7601, 269, 4033, 7601, 26148, 2477, 616, 18475, 267, 3624, 267, 2136, 2276, 267, 22096, 543, 5245, 563, 302, 637, 540, 7601, 281, 30634, 32476, 1679, 267, 30634, 322, 665, 924, 267, 3213, 767, 29411, 454, 20112, 568, 513, 10053, 561, 755, 9317, 5835, 267, 4686, 543, 10475, 4496, 269, 22702, 547, 824, 8407, 267, 4154, 568, 1447, 26947, 19535, 269, 769, 519, 1158, 2344, 267, 621, 814, 11108, 1871, 543, 1164, 3747, 269, 2423, 17067, 267, 621, 729, 1031, 538, 20511, 532, 11113, 267, 855, 1631, 267, 621, 568, 1031, 547, 1118, 610, 23788, 543, 538, 25185, 1813, 547, 922, 1164, 544, 4150, 1464, 269, 898, 568, 2808, 513, 3090, 540, 13884, 543, 1106, 540, 5763, 269, 898, 568, 849, 1031, 607, 513, 5420, 540, 5385, 547, 930, 6708, 563, 19770, 568, 519, 1158, 779, 4102, 16073, 540, 4154, 269, 4033, 2101, 12696, 540, 4154, 616, 5245, 267, 6576, 267, 2136, 2276, 267, 3162, 4000, 543, 4516, 269, 7324, 891, 2477, 267, 5245, 568, 519, 1158, 781, 3056, 2197, 538, 4154, 7626, 14425, 267, 609, 1422, 263, 31405, 271, 9748, 1422, 264, 637, 12883, 540, 4154, 7626, 269, 31016, 31540, 568, 519, 4102, 16073, 540, 4154, 538, 3127, 269, 918, 6897, 7108, 12197, 538, 31016, 31540, 568, 835, 540, 519, 27811, 15183, 538, 519, 1158, 269, 0, 1692, 798, 596, 4308, 609, 6880, 1532, 592, 2391, 538, 3506, 286, 1107, 29269, 17248, 476, 275, 645, 9680, 2562, 301, 8991, 21298, 267, 594, 723, 8068, 602, 2665, 540, 6880, 1532, 592, 2391, 616, 1373, 4080, 811, 543, 811, 1419, 538, 519, 3377, 269, 1306, 1514, 2923, 543, 2029, 568, 2907, 513, 3844, 851, 540, 1453, 779, 2729, 267, 2228, 3106, 568, 606, 11212, 1271, 3390, 547, 10994, 269, 1548, 568, 30378, 286, 15536, 24830, 568, 3989, 607, 267, 968, 1492, 957, 540, 3771, 23035, 2576, 2228, 676, 11488, 610, 20171, 1611, 6835, 267, 2356, 26687, 3585, 1848, 1411, 22616, 3619, 5851, 11088, 15005, 2290, 2272, 269, 2353, 540, 5616, 269, 6178, 538, 547, 3136, 547, 5616, 20000, 4855, 1250, 2272, 454, 272, 269, 8111, 14876, 1565, 2443, 1414, 18145, 268, 16753, 476, 271, 269, 1240, 269, 272, 12319, 11426, 9612, 19881, 14871, 6651, 14871, 6651, 8921, 476, 272, 269, 272, 269, 15536, 24830, 18409, 625, 543, 1611, 6690, 723, 1044, 1472, 11014, 267, 855, 2029, 1631, 3947, 873, 513, 2898, 1007, 3760, 585, 741, 3527, 269, 634, 2025, 834, 560, 6506, 543, 10007, 257, 6031, 568, 1100, 3476, 3020, 2443, 1312, 1483, 8996, 543, 2228, 2012, 2275, 16226, 666, 723, 3978, 3929, 4539, 585, 938, 3214, 543, 12322, 269, 898, 781, 711, 2141, 2653, 547, 917, 875, 543, 950, 547, 1900, 538, 607, 513, 2385, 269, 1280, 26784, 267, 1034, 3214, 946, 2029, 8335, 982, 649, 798, 269, 1358, 2811, 4730, 3756, 2228, 543, 11488, 5931, 593, 741, 11436, 693, 606, 2038, 2085, 267, 543, 1034, 12322, 723, 3457, 602, 1832, 873, 7683, 4448, 547, 519, 5769, 269, 15536, 31421, 10803, 910, 31421, 10803, 15536, 11648, 7194, 4016, 547, 5769, 11648, 269, 15536, 11648, 568, 513, 1106, 540, 7141, 5208, 602, 666, 798, 9434, 2800, 547, 1762, 1004, 269, 31421, 7194, 1397, 602, 6880, 11648, 568, 513, 3978, 1966, 1851, 12322, 269, 1635, 1373, 811, 3222, 540, 6880, 11648, 267, 12322, 543, 4079, 666, 948, 547, 4339, 621, 269, 15536, 11648, 5540, 1082, 10708, 543, 12322, 593, 513, 3232, 4493, 563, 32153, 4886, 19047, 585, 631, 5474, 10628, 24285, 267, 3487, 2290, 281, 589, 1862, 281, 661, 7034, 4596, 10676, 18564, 585, 20513, 1299, 16065, 9906, 1344, 267, 1519, 9344, 267, 14261, 543, 27350, 4567, 267, 543, 824, 13948, 30753, 1344, 949, 711, 581, 31889, 547, 1022, 3791, 5428, 1510, 519, 2875, 781, 2854, 10479, 538, 10220, 609, 7731, 12409, 7126, 1299, 21041, 2920, 630, 29052, 5183, 264, 6042, 269, 15329, 566, 540, 674, 2207, 5183, 949, 1267, 538, 2847, 6327, 540, 3593, 1569, 22864, 607, 1134, 607, 538, 30095, 2962, 563, 10908, 27443, 540, 28042, 29698, 676, 20122, 326, 984, 4802, 8535, 901, 1592, 568, 1759, 593, 1344, 8385, 16432, 676, 8121, 290, 2575, 267, 543, 814, 1044, 14916, 15428, 267, 6905, 543, 2919, 585, 519, 4950, 676, 8891, 324, 15966, 548, 961, 663, 693, 20122, 326, 984, 4802, 8535, 269, 7490, 661, 17733, 803, 952, 596, 917, 540, 7405, 711, 7396, 267, 865, 594, 666, 1039, 873, 269, 1703, 568, 1631, 513, 5178, 4302, 1893, 8144, 540, 713, 2985, 676, 26391, 1473, 340, 2001, 928, 269, 1215, 9701, 12140, 7435, 548, 15536, 24830, 286, 10500, 1258, 1540, 676, 2166, 1499, 10628, 779, 15583, 566, 540, 15730, 30380, 1145, 267, 1082, 3237, 616, 3168, 547, 3506, 585, 5126, 267, 4027, 267, 1256, 20947, 269, 1809, 1082, 7855, 1745, 12707, 335, 1563, 610, 31464, 547, 581, 21991, 12781, 543, 16488, 269, 10705, 267, 1153, 8664, 9015, 9479, 2161, 2370, 827, 7855, 685, 6392, 936, 2875, 1591, 10746, 267, 1753, 5904, 543, 1055, 2275, 25283, 4633, 269, 4039, 10631, 656, 547, 7682, 606, 6392, 789, 616, 711, 2386, 789, 723, 267, 7855, 666, 2408, 967, 27075, 547, 3237, 9992, 4842, 609, 5855, 267, 15372, 539, 676, 2487, 15730, 647, 15969, 5532, 547, 11648, 269, 6787, 20547, 971, 7526, 1058, 581, 519, 5539, 540, 519, 1920, 267, 519, 7128, 610, 519, 3506, 3788, 606, 1930, 2243, 267, 9687, 2059, 609, 8847, 540, 30378, 3294, 563, 24426, 828, 24830, 910, 2817, 31421, 10644, 4741, 3807, 607, 519, 946, 540, 2029, 3294, 814, 7960, 267, 865, 814, 519, 2702, 547, 4439, 569, 269, 31421, 267, 2899, 11658, 547, 519, 1153, 610, 8378, 267, 814, 1631, 6410, 883, 519, 2228, 1158, 269, 31421, 998, 5907, 1797, 568, 5219, 547, 607, 968, 1097, 828, 24830, 1848, 1306, 4079, 267, 3206, 1394, 267, 621, 729, 1175, 513, 5108, 3516, 602, 3214, 543, 12322, 941, 6998, 741, 3237, 585, 513, 6049, 538, 741, 4055, 2443, 6148, 1256, 835, 609, 513, 5094, 1899, 610, 1614, 17574, 10912, 2443, 865, 789, 1223, 3362, 543, 10169, 27352, 1921, 609, 811, 2828, 269, 4653, 267, 513, 4819, 610, 7141, 779, 7287, 547, 1921, 609, 2828, 814, 711, 4957, 267, 855, 519, 3681, 585, 3257, 865, 723, 6738, 14831, 3585, 269, 5753, 616, 711, 1152, 6998, 585, 741, 1378, 14342, 267, 11080, 3457, 267, 543, 5985, 11436, 693, 513, 7820, 2085, 267, 789, 849, 1616, 1569, 547, 2442, 1514, 2923, 4609, 267, 543, 519, 2702, 547, 4497, 538, 2228, 3756, 543, 2671, 1344, 563, 7246, 298, 8991, 303, 3722, 2464, 11123, 20231, 281, 590, 27263, 5058, 11806, 10790, 298, 8991, 5442, 590, 29558, 5357, 22244, 16576, 2752, 22494, 281, 661, 7034, 4596, 10676, 18564, 585, 20513, 1299, 16065, 9906, 1344, 267, 1519, 9344, 267, 14261, 543, 27350, 4567, 267, 543, 824, 13948, 30753, 1344, 949, 711, 581, 31889, 547, 1022, 3791, 5428, 1510, 519, 2875, 781, 2854, 10479, 538, 10220, 609, 7731, 12409, 7126, 1299, 21041, 2920, 630, 29052, 5183, 264, 6042, 269, 15329, 566, 540, 674, 2207, 5183, 949, 1267, 538, 2847, 6327, 540, 3593, 1569, 22864, 607, 1134, 607, 538, 30095, 2962, 269, 1280, 811, 1344, 3823, 674, 2207, 5183, 543, 707, 9021, 267, 5225, 1224, 519, 674, 2207, 5183, 2782, 940, 269, 808, 16787, 288, 30892, 6732, 6092, 689, 3127, 6258, 808, 16787, 288, 30892, 6732, 9751, 30892, 610, 14871, 28497, 568, 1945, 602, 513, 3593, 25998, 609, 1247, 1210, 513, 1357, 3498, 610, 513, 5985, 3498, 610, 1022, 3301, 269, 901, 1223, 581, 4159, 13819, 267, 16181, 267, 10856, 23684, 267, 10569, 543, 3006, 849, 519, 18376, 269, 2060, 519, 3593, 8818, 519, 3755, 666, 2285, 5528, 543, 12981, 547, 519, 1357, 3498, 610, 513, 5985, 813, 779, 1394, 1439, 3823, 519, 3527, 610, 2238, 602, 519, 3593, 16858, 547, 1685, 269, 4804, 547, 1374, 519, 3593, 8818, 568, 835, 540, 519, 8179, 1310, 1576, 538, 2221, 779, 942, 543, 2085, 269, 27588, 513, 3593, 8818, 1906, 540, 519, 2934, 1590, 581, 3769, 563, 21615, 571, 1424, 519, 476, 280, 21771, 540, 7913, 22893, 1222, 1306, 938, 2486, 14797, 4724, 513, 20185, 540, 519, 5769, 540, 12085, 267, 972, 568, 606, 2810, 8561, 538, 519, 1158, 540, 918, 268, 1321, 2069, 547, 1205, 2029, 883, 519, 3946, 540, 5234, 543, 1053, 269, 23985, 602, 779, 7508, 689, 713, 5198, 568, 513, 7104, 4674, 547, 13599, 711, 1152, 938, 1053, 855, 849, 938, 5234, 593, 519, 2956, 540, 1620, 1018, 621, 1797, 547, 581, 513, 3743, 3059, 12504, 269, 1284, 723, 1569, 547, 811, 1344, 998, 1585, 23447, 543, 811, 4598, 547, 519, 1158, 1472, 721, 982, 2479, 1354, 269, 2060, 713, 1569, 543, 4598, 2501, 513, 5539, 602, 1004, 540, 782, 6502, 616, 15877, 513, 3020, 1620, 540, 2443, 12077, 267, 519, 9434, 3059, 11640, 602, 649, 1711, 1169, 1554, 269, 3487, 540, 1250, 1909, 607, 513, 1565, 1604, 9666, 518, 585, 7131, 310, 294, 568, 547, 723, 7391, 609, 8664, 8639, 543, 2307, 2055, 899, 267, 968, 3963, 798, 596, 1616, 1346, 3457, 9495, 968, 1692, 798, 596, 1544, 593, 1210, 873, 18313, 277, 13088, 585, 16424, 2659, 6732, 3115, 16615, 5147, 476, 278, 267, 476, 1001, 277, 476, 275, 1295, 1224, 25709, 687, 6829, 676, 24573, 584, 20334, 616, 741, 1378, 269, 1403, 1004, 616, 6158, 827, 596, 543, 707, 1870, 2228, 267, 596, 1616, 547, 917, 827, 621, 269, 0, 302, 2006, 814, 711, 11124, 1022, 594, 3633, 6285, 2094, 589, 302, 16787, 3323, 5464, 23292, 5208, 269, 1717, 267, 744, 2006, 779, 30240, 2829, 616, 3810, 12936, 676, 594, 3633, 338, 543, 18483, 267, 3226, 29874, 269, 9717, 922, 2990, 538, 519, 5664, 5101, 543, 922, 9316, 609, 5375, 2829, 267, 971, 607, 519, 2475, 543, 5177, 267, 621, 814, 519, 1761, 547, 581, 513, 3407, 3077, 547, 22681, 2516, 563, 2026, 744, 2006, 779, 3119, 22584, 568, 519, 8473, 609, 29874, 267, 8473, 3354, 814, 7283, 513, 4105, 5057, 540, 744, 2006, 779, 3646, 547, 2061, 594, 3633, 543, 824, 22681, 6285, 538, 519, 2197, 269, 634, 8473, 609, 18142, 17936, 568, 849, 540, 6161, 269, 3683, 519, 2063, 1906, 1296, 744, 2006, 814, 1044, 7722, 538, 2679, 513, 8473, 20545, 2059, 922, 10465, 609, 29874, 269, 901, 6663, 547, 2061, 796, 29970, 7127, 883, 744, 2006, 267, 799, 666, 4324, 9810, 1235, 543, 1159, 10212, 6840, 563, 4913, 267, 2417, 3356, 593, 8473, 3354, 568, 554, 2086, 1229, 676, 3908, 2200, 543, 519, 991, 585, 2417, 8473, 3354, 2866, 563, 763, 2384, 532, 1062, 568, 5266, 1007, 547, 744, 2006, 267, 945, 1152, 476, 2412, 1296, 3516, 5342, 4835, 3354, 998, 9267, 529, 267, 945, 19500, 607, 513, 1826, 540, 2199, 17294, 269, 3767, 267, 4835, 3354, 568, 18170, 676, 519, 9576, 744, 2006, 17318, 630, 4629, 303, 1040, 1358, 616, 3743, 585, 8876, 856, 18483, 13753, 267, 9821, 543, 8473, 3354, 269, 634, 7981, 17130, 10414, 540, 519, 681, 8008, 568, 18177, 585, 7231, 609, 14885, 1161, 267, 543, 21697, 519, 946, 540, 5010, 14885, 1161, 269, 634, 7981, 17130, 10414, 616, 593, 1289, 547, 4431, 547, 18002, 563, 2414, 4831, 10795, 17119, 1143, 267, 744, 2006, 814, 7722, 538, 3646, 971, 607, 968, 26576, 538, 744, 2006, 892, 1107, 513, 5859, 6322, 693, 5009, 10892, 269, 3955, 17304, 603, 5188, 814, 849, 1044, 15469, 607, 851, 540, 519, 2229, 779, 3785, 563, 302, 2006, 814, 4607, 2866, 689, 2475, 2229, 269, 1306, 8473, 3354, 568, 513, 9030, 6161, 267, 744, 2006, 814, 4749, 7722, 538, 519, 2475, 779, 1401, 1636, 6513, 543, 13565, 27079, 8232, 3292, 269, 744, 2006, 568, 849, 513, 16045, 538, 519, 2475, 4165, 3438, 2928, 1143, 26859, 630, 25353, 264, 1982, 269, 901, 814, 2938, 2417, 2866, 3177, 547, 744, 2006, 593, 8473, 3354, 267, 607, 1134, 607, 6880, 3354, 543, 13753, 269, 769, 476, 1001, 275, 267, 519, 9576, 744, 2006, 17318, 31654, 1682, 10837, 538, 4053, 13906, 5342, 513, 3018, 17489, 11906, 267, 18143, 267, 7101, 8344, 267, 17437, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 9101, 689, 519, 8708, 269, 1280, 1383, 267, 621, 781, 4443, 585, 513, 3154, 547, 9101, 998, 513, 7522, 6679, 899, 606, 9688, 10612, 982, 998, 513, 1804, 8559, 971, 607, 835, 1336, 538, 513, 4216, 19984, 269, 901, 568, 1946, 6517, 723, 2766, 335, 6346, 3079, 540, 18849, 331, 1749, 910, 8781, 17405, 3884, 1405, 6757, 267, 855, 3327, 24785, 568, 6757, 256, 898, 25907, 547, 24562, 538, 1973, 2281, 547, 1106, 1286, 7901, 344, 1335, 18331, 799, 11151, 621, 689, 8876, 5135, 5180, 707, 1560, 563, 763, 2604, 540, 3154, 1879, 3154, 5536, 2458, 728, 609, 519, 8708, 781, 6821, 267, 789, 1711, 2604, 269, 1879, 519, 2837, 540, 513, 3154, 14380, 267, 519, 5536, 538, 519, 3154, 2951, 18334, 267, 543, 789, 2458, 728, 609, 519, 8708, 781, 6821, 811, 1419, 269, 901, 568, 849, 1946, 267, 950, 519, 4320, 540, 513, 3154, 781, 8708, 568, 4389, 267, 922, 2604, 14380, 269, 1306, 811, 3154, 568, 17065, 7458, 883, 513, 1507, 2230, 267, 621, 814, 547, 1847, 6251, 1927, 799, 4679, 922, 5506, 540, 18644, 519, 3774, 563, 2691, 596, 25837, 811, 3154, 883, 513, 8708, 267, 621, 5932, 2362, 12503, 982, 621, 1131, 952, 1447, 3154, 729, 20399, 883, 519, 1482, 2230, 269, 2311, 930, 1448, 519, 3154, 786, 2736, 1863, 689, 922, 8708, 543, 581, 8572, 547, 2132, 547, 922, 3312, 1533, 269, 901, 4386, 950, 519, 3196, 540, 519, 3154, 781, 2604, 11224, 519, 4222, 540, 519, 8708, 3294, 563, 2080, 616, 1079, 1806, 540, 875, 2810, 519, 2604, 540, 513, 3154, 5540, 922, 2450, 912, 2252, 596, 5595, 519, 2604, 540, 2011, 936, 476, 271, 9180, 267, 621, 786, 4228, 883, 7466, 519, 4320, 621, 1281, 693, 476, 272, 520, 332, 630, 7538, 11626, 2604, 1916, 2252, 596, 17784, 519, 2604, 540, 2011, 936, 476, 271, 9180, 267, 621, 786, 4228, 883, 1614, 2053, 519, 4320, 621, 1281, 693, 476, 272, 520, 332, 563, 1607, 568, 1317, 1648, 568, 2838, 547, 7903, 519, 5536, 6306, 799, 2306, 873, 2951, 5488, 799, 3123, 873, 547, 5734, 519, 8708, 781, 6821, 811, 1419, 799, 4679, 519, 2604, 563, 295, 27941, 12503, 666, 849, 2014, 9362, 547, 1689, 5123, 563, 294, 553, 13238, 23691, 616, 1031, 676, 21427, 585, 15989, 332, 10183, 543, 824, 12227, 269, 1879, 596, 2811, 1201, 3739, 256, 901, 3091, 513, 8756, 585, 519, 11979, 5279, 593, 519, 2666, 547, 26632, 622, 693, 513, 2922, 3845, 689, 519, 6174, 563, 1607, 568, 3226, 1271, 952, 596, 723, 513, 5068, 3154, 666, 267, 799, 666, 581, 8697, 676, 513, 1164, 6453, 5279, 269, 634, 4341, 540, 14853, 568, 602, 596, 1058, 2057, 7555, 1932, 2673, 547, 707, 6174, 950, 1201, 3241, 532, 621, 563, 763, 5279, 786, 2356, 11166, 998, 1022, 1843, 609, 513, 2666, 4276, 269, 1924, 267, 952, 596, 946, 513, 3154, 666, 267, 1118, 2386, 547, 2322, 1776, 1843, 609, 513, 2666, 4276, 1063, 596, 543, 519, 6174, 1169, 942, 596, 4492, 909, 563, 1607, 3106, 2268, 849, 10039, 950, 18736, 707, 1286, 2282, 1866, 267, 2094, 972, 949, 581, 513, 1981, 540, 596, 1373, 9901, 609, 930, 2942, 1648, 269, 1403, 713, 4523, 267, 979, 5612, 547, 513, 2922, 1747, 630, 3697, 606, 8900, 2361, 264, 543, 1265, 2576, 945, 666, 948, 596, 17579, 532, 519, 5279, 269, 0, 10048, 11245, 540, 7579, 320, 1473, 3821, 676, 7338, 24282, 656, 454, 9928, 2100, 543, 12474, 454, 1607, 4015, 3568, 513, 16861, 5299, 540, 519, 968, 293, 3271, 320, 1473, 3821, 892, 799, 729, 5555, 3370, 538, 519, 8772, 4320, 540, 24282, 656, 779, 968, 11073, 6050, 540, 519, 31248, 1848, 898, 729, 5423, 676, 606, 993, 534, 340, 18424, 543, 568, 23064, 538, 15513, 538, 24282, 656, 779, 1688, 269, 634, 3808, 12377, 568, 476, 8182, 3817, 543, 3800, 476, 1015, 269, 276, 257, 1535, 476, 1428, 8487, 268, 2235, 320, 476, 9692, 271, 454, 268, 24282, 656, 267, 7338, 267, 476, 15094, 277, 268, 9692, 279, 630, 31094, 994, 30812, 1431, 717, 1478, 940, 7457, 454, 763, 4015, 568, 2139, 676, 13393, 585, 1382, 269, 12824, 1590, 11578, 543, 1683, 4570, 8666, 8446, 269, 7490, 3346, 18078, 17106, 11333, 3820, 585, 3606, 1344, 563, 15761, 550, 271, 269, 272, 5276, 3952, 630, 272, 4320, 538, 4173, 321, 10740, 8865, 267, 853, 2931, 1948, 276, 994, 24171, 24282, 656, 729, 4535, 593, 4873, 476, 1691, 267, 476, 15094, 277, 693, 1010, 1920, 779, 10040, 538, 18724, 5112, 267, 4469, 842, 28790, 267, 538, 12986, 269, 1261, 729, 13473, 693, 4357, 1153, 543, 9411, 10348, 779, 5441, 267, 10228, 267, 855, 2760, 6192, 513, 4110, 269, 24282, 656, 729, 5461, 538, 2067, 1686, 689, 513, 1762, 2085, 269, 1261, 5330, 539, 609, 1082, 7986, 3621, 5515, 540, 1010, 1554, 543, 3370, 1896, 2835, 593, 15022, 603, 1108, 607, 1134, 607, 6589, 540, 1010, 12599, 538, 4279, 6628, 563, 288, 1906, 1296, 1354, 1010, 2669, 267, 24282, 656, 4330, 513, 3126, 646, 729, 8600, 13886, 968, 11073, 6050, 540, 519, 31248, 1848, 14301, 593, 2835, 543, 2951, 6386, 267, 621, 729, 606, 2272, 540, 519, 1480, 543, 2067, 1686, 540, 519, 9381, 2127, 1063, 5507, 543, 1715, 19892, 269, 634, 1101, 1079, 12531, 941, 3370, 1282, 1010, 10715, 282, 519, 3791, 543, 8772, 941, 3370, 2022, 21065, 3585, 269, 24282, 656, 729, 513, 4759, 540, 513, 1297, 540, 3864, 3621, 7239, 1519, 519, 9576, 5081, 7724, 540, 5507, 543, 772, 653, 338, 8403, 269, 1261, 5747, 693, 1010, 1920, 1753, 593, 5412, 476, 1626, 267, 476, 9692, 279, 563, 18250, 288, 6590, 654, 299, 269, 476, 3422, 274, 269, 634, 3345, 1977, 5017, 540, 7338, 24282, 656, 269, 808, 269, 17502, 269, 24157, 690, 337, 269, 14844, 269, 2876, 269, 476, 275, 263, 273, 2567, 1911, 268, 14862, 563, 303, 3317, 656, 570, 269, 476, 9264, 272, 269, 634, 16520, 5020, 540, 7338, 24282, 656, 267, 25385, 269, 676, 13924, 1345, 269, 25212, 281, 808, 269, 2441, 773, 563, 763, 24282, 656, 12377, 729, 12349, 676, 519, 28199, 1488, 321, 648, 339, 636, 538, 4873, 476, 3707, 278, 563, 31088, 539, 676, 22118, 333, 5062, 2662, 797, 454, 268, 24282, 656, 267, 7338, 267, 476, 15094, 277, 268, 9692, 279, 269, 2494, 11245, 540, 7579, 320, 1473, 3821, 676, 7338, 24282, 656, 267, 2235, 320, 476, 9692, 271, 281, 589, 6651, 563, 268, 15636, 1415, 23905, 267, 28199, 1488, 321, 648, 339, 636, 7732, 630, 23173, 8822, 1070, 12370, 2160, 563, 268, 13517, 3652, 454, 268, 5678, 540, 6609, 454, 268, 661, 4696, 9517, 454, 8512, 540, 519, 15636, 1415, 23905, 267, 28199, 1488, 321, 648, 339, 636, 7732, 630, 23173, 8822, 1070, 12370, 2160, 3115, 12141, 454, 763, 12370, 2160, 4173, 321, 7559, 8075, 2947, 1382, 8021, 602, 616, 7307, 15217, 607, 519, 15636, 1415, 23905, 269, 634, 28199, 1488, 321, 648, 339, 636, 7732, 538, 11062, 24870, 538, 519, 8446, 543, 8760, 540, 6196, 2622, 2371, 609, 8561, 593, 5607, 269, 634, 19964, 540, 519, 28199, 1488, 321, 648, 339, 636, 630, 23173, 8822, 264, 8075, 2189, 2200, 267, 5097, 2361, 4967, 1644, 547, 519, 2030, 15013, 24428, 538, 11062, 563, 19604, 10542, 2160, 4173, 321, 7559, 454, 2420, 6555, 6541, 589, 557, 454, 23173, 8822, 10790, 476, 28512, 4343, 7330, 0, 268, 20051, 7493, 454, 268, 7046, 7457, 454, 19061, 936, 281, 27248, 679, 999, 529, 543, 17256, 4713, 454, 2005, 6501, 4750, 540, 27435, 4320, 476, 2412, 267, 9137, 1297, 281, 589, 10037, 630, 1001, 275, 994, 257, 5319, 999, 529, 834, 849, 1634, 607, 5127, 342, 23293, 610, 3781, 6066, 538, 11666, 775, 568, 519, 17418, 547, 1852, 30614, 1282, 3207, 1496, 272, 267, 476, 273, 4940, 3933, 334, 1606, 2096, 24840, 679, 999, 529, 630, 300, 20911, 264, 568, 519, 1152, 3781, 6066, 538, 11666, 775, 543, 968, 2254, 1395, 334, 1606, 2096, 24840, 679, 999, 529, 892, 630, 301, 300, 20911, 264, 568, 849, 519, 24817, 17256, 4713, 269, 16170, 342, 23293, 568, 513, 4524, 602, 5540, 519, 1646, 540, 1453, 7209, 543, 7679, 31013, 609, 1514, 3347, 540, 1453, 543, 741, 1920, 563, 27650, 1439, 4812, 568, 547, 7447, 519, 9860, 540, 679, 999, 529, 538, 2550, 9907, 476, 276, 547, 476, 1691, 1296, 267, 547, 6218, 519, 4656, 540, 519, 1966, 676, 519, 1920, 2073, 547, 2708, 519, 9636, 4810, 676, 2550, 543, 1287, 547, 1413, 585, 519, 4527, 540, 1071, 1922, 716, 832, 563, 763, 1353, 267, 15469, 676, 590, 2975, 340, 13048, 630, 2005, 6501, 5980, 540, 17925, 12729, 5516, 1070, 729, 1759, 593, 513, 18102, 4904, 676, 519, 3237, 540, 1453, 19801, 676, 476, 4037, 12963, 2103, 689, 1614, 1114, 4525, 630, 309, 523, 16587, 267, 570, 19895, 1415, 543, 623, 1872, 20377, 1916, 2171, 11117, 476, 22332, 276, 1453, 630, 14065, 279, 9038, 543, 476, 15150, 278, 8951, 1040, 634, 679, 999, 529, 568, 1459, 538, 476, 26783, 1453, 630, 279, 269, 273, 4939, 540, 519, 1353, 5148, 519, 9860, 729, 476, 1626, 269, 276, 260, 693, 476, 276, 1296, 476, 1015, 269, 276, 260, 543, 476, 277, 260, 28679, 20911, 19072, 20911, 264, 543, 11081, 609, 2085, 909, 547, 476, 275, 269, 277, 260, 630, 273, 269, 277, 260, 543, 476, 273, 260, 28679, 20911, 270, 631, 20911, 264, 693, 519, 2085, 540, 476, 1724, 1296, 282, 891, 1239, 3858, 609, 824, 16917, 8344, 2090, 1547, 19361, 640, 543, 3207, 4713, 616, 1761, 1981, 2188, 269, 8307, 476, 3451, 260, 540, 3237, 2995, 519, 1966, 547, 519, 12963, 1014, 281, 476, 6858, 269, 279, 260, 540, 519, 3237, 1810, 1406, 3717, 540, 621, 1317, 789, 2015, 621, 796, 28695, 267, 476, 273, 269, 278, 260, 1317, 789, 616, 834, 1662, 3139, 2580, 476, 3066, 269, 276, 260, 585, 834, 1278, 4128, 2668, 8307, 476, 3953, 2550, 609, 679, 999, 529, 630, 1321, 269, 273, 8472, 941, 538, 2126, 269, 476, 2641, 269, 279, 260, 540, 3237, 1589, 602, 679, 999, 529, 834, 854, 14156, 3238, 257, 741, 1126, 267, 476, 279, 269, 276, 260, 1589, 602, 519, 1126, 568, 834, 854, 3908, 257, 538, 922, 2238, 609, 15032, 267, 476, 279, 269, 278, 260, 1589, 602, 519, 1126, 568, 834, 854, 7255, 257, 827, 1010, 1072, 269, 476, 3451, 269, 274, 260, 2015, 5127, 342, 23293, 1966, 834, 854, 1271, 257, 585, 519, 1920, 3919, 267, 476, 2190, 269, 278, 260, 2015, 602, 621, 9673, 1206, 7494, 519, 2534, 540, 519, 1126, 609, 15032, 267, 476, 1704, 269, 274, 260, 568, 834, 854, 7255, 257, 827, 519, 1072, 540, 519, 1126, 267, 543, 6368, 476, 1556, 260, 1589, 602, 5127, 342, 23293, 568, 1945, 547, 581, 834, 854, 11849, 3139, 257, 540, 563, 7093, 14083, 1239, 1397, 602, 5127, 342, 23293, 568, 513, 834, 332, 24216, 257, 2068, 269, 898, 568, 1271, 547, 1413, 585, 543, 5431, 519, 1966, 267, 547, 2087, 519, 2298, 540, 1272, 540, 2550, 543, 741, 3885, 454, 309, 663, 324, 654, 4150, 808, 267, 681, 9231, 590, 267, 645, 21516, 590, 267, 17378, 1068, 623, 267, 9370, 577, 718, 268, 11390, 327, 7758, 667, 267, 1855, 11899, 592, 590, 281, 19750, 13618, 4808, 585, 519, 2359, 540, 679, 999, 529, 269, 20195, 808, 623, 2664, 520, 337, 269, 476, 1001, 273, 267, 476, 14378, 281, 476, 9032, 272, 268, 7176, 274, 269, 476, 1015, 269, 1911, 278, 4882, 21916, 4029, 268, 23713, 268, 12739, 278, 268, 278, 563, 301, 5271, 2946, 639, 570, 281, 3143, 24856, 679, 999, 529, 9789, 648, 6776, 4282, 543, 4052, 4808, 269, 623, 2664, 520, 337, 13605, 327, 1503, 269, 476, 1001, 272, 267, 476, 2918, 281, 476, 6344, 278, 268, 13199, 275, 269, 476, 1015, 269, 1911, 278, 4882, 21916, 6858, 268, 18733, 268, 12293, 273, 268, 279, 563, 31800, 2426, 595, 298, 267, 590, 8811, 4141, 808, 291, 267, 23063, 674, 298, 267, 645, 1077, 654, 293, 267, 590, 7517, 9618, 645, 267, 700, 879, 808, 281, 18567, 540, 3119, 27248, 679, 999, 529, 538, 4079, 281, 606, 16917, 8344, 1353, 269, 645, 297, 308, 2271, 269, 476, 1220, 275, 267, 476, 11152, 281, 476, 30130, 268, 24833, 269, 476, 1015, 269, 9340, 272, 10768, 269, 16409, 275, 268, 25148, 311, 269, 1220, 274, 269, 271, 5379, 1321, 11859, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 305, 1725, 520, 11253, 267, 717, 1421, 20266, 8619, 267, 631, 1421, 595, 6135 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3683, 31095, 519, 9510, 7127, 454, 8421, 269, 13440, 867, 263, 277, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 263, 8421, 10947, 9078, 770, 263, 272, 4297, 1948, 19243, 476, 277, 454, 825, 1820, 263, 8421, 10947, 9078, 770, 263, 273, 4297, 1948, 19243, 476, 276, 454, 825, 1820, 263, 8421, 10947, 9078, 770, 263, 274, 4297, 1948, 19243, 476, 275, 454, 825, 1820, 263, 8421, 10947, 9078, 770, 263, 275, 4297, 1948, 19243, 476, 274, 454, 825, 1820, 263, 8421, 10947, 9078, 770, 263, 276, 4297, 1948, 19243, 476, 273, 454, 0, 3698, 13074, 7272, 531, 785, 668, 545, 5334, 889, 11415, 4433, 2187, 476, 562, 815, 7003, 4433, 994, 476, 31185, 815, 20886, 16178, 316, 2608, 562, 585, 9041, 538, 2039, 3799, 22708, 476, 585, 1775, 538, 2039, 3799, 2187, 825, 31185, 5157, 6012, 328, 316, 815, 6936, 692, 476, 13074, 5334, 889, 11415, 815, 521, 314, 271, 2639, 476, 585, 3259, 538, 2039, 263, 273, 267, 562, 266, 272, 2187, 825, 585, 1775, 538, 2039, 3799, 27480, 266, 272, 2187, 8587, 795, 815, 1775, 1341, 3259, 910, 476, 272, 454, 8587, 952, 521, 5157, 316, 2652, 521, 14728, 316, 543, 630, 26319, 2652, 476, 273, 610, 31185, 5157, 266, 272, 6012, 329, 268, 272, 316, 2187, 1038, 31185, 5157, 6012, 329, 316, 815, 6936, 454, 1038, 952, 3259, 3436, 7003, 10857, 784, 652, 5334, 889, 11415, 2187, 16875, 13074, 5334, 889, 11415, 815, 521, 5157, 281, 329, 266, 272, 6540, 476, 2132, 13074, 5334, 889, 11415, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 10857, 784, 652, 7272, 531, 785, 668, 545, 5334, 889, 11415, 3488, 320, 629, 7251, 322, 321, 262, 4297, 476, 1948, 1412, 321, 7251, 322, 321, 7055, 825, 1820, 10857, 784, 652, 7272, 531, 785, 668, 545, 5334, 889, 11415, 3488, 3316, 11446, 262, 4297, 476, 1948, 1412, 534, 3570, 7055, 0, 5814, 4351, 692, 3698, 28219, 276, 10031, 825, 2132, 4351, 27110, 263, 272, 267, 476, 276, 2020, 3698, 28219, 278, 10031, 825, 1267, 815, 630, 8681, 276, 3890, 910, 476, 272, 264, 2608, 476, 276, 1341, 28219, 276, 3890, 910, 476, 272, 454, 825, 952, 1267, 2999, 476, 2641, 912, 1038, 2132, 1267, 4939, 476, 278, 1341, 476, 272, 454, 825, 2132, 28219, 278, 10797, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 585, 1775, 538, 2039, 263, 1015, 2187, 1038, 1820, 263, 8681, 278, 28829, 0, 1817, 320, 815, 3403, 3488, 20075, 3520, 553, 521, 14244, 286, 17210, 339, 787, 912, 825, 3520, 320, 815, 703, 263, 1817, 320, 994, 825, 952, 3520, 320, 13843, 476, 271, 543, 3520, 320, 10922, 476, 1556, 912, 1038, 1820, 3488, 289, 558, 667, 807, 5073, 825, 3116, 912, 1038, 952, 3520, 320, 13843, 476, 1321, 543, 3520, 320, 10922, 476, 1704, 912, 2018, 1820, 3488, 289, 10394, 570, 31938, 5073, 1038, 3116, 912, 2018, 952, 3520, 320, 13843, 476, 1240, 543, 3520, 320, 10922, 2537, 912, 3546, 1820, 3488, 289, 10394, 3143, 924, 5073, 21955, 912, 825, 1820, 3488, 11293, 549, 10807, 0, 6588, 639, 815, 3403, 3488, 303, 4673, 4018, 15583, 320, 27642, 324, 20303, 286, 7055, 23526, 1412, 257, 290, 257, 16948, 1178, 639, 22966, 857, 639, 552, 834, 293, 257, 16948, 535, 15786, 3873, 527, 5073, 339, 655, 704, 520, 3120, 815, 703, 9272, 3488, 514, 845, 324, 513, 2191, 520, 3120, 1412, 11723, 3698, 3382, 614, 318, 290, 601, 857, 639, 318, 1706, 320, 6958, 15786, 3873, 527, 18154, 601, 857, 639, 2187, 825, 1267, 5964, 815, 22966, 857, 639, 1341, 476, 1015, 454, 825, 2132, 476, 1267, 5964, 692, 0, 18411, 8266, 553, 900, 9226, 454, 325, 10620, 3512, 334, 454, 6572, 267, 7696, 267, 1402, 267, 1642, 267, 2312, 267, 8831, 267, 30492, 2381, 267, 3193, 454, 18411, 4289, 320, 815, 18358, 288, 12887, 289, 12887, 290, 23300, 4289, 320, 318, 273, 815, 18358, 288, 3299, 1412, 289, 3299, 1412, 290, 3299, 1412, 292, 3299, 476, 1015, 269, 278, 2639, 2617, 320, 8217, 320, 815, 30458, 314, 272, 281, 2639, 2745, 17338, 320, 318, 273, 11468, 18737, 273, 20285, 331, 272, 815, 1496, 275, 267, 476, 274, 267, 476, 277, 267, 476, 279, 2639, 331, 273, 815, 1496, 280, 267, 476, 277, 267, 476, 274, 6540, 331, 274, 815, 561, 272, 1341, 561, 273, 454, 331, 272, 269, 2169, 754, 10857, 273, 994, 2745, 10857, 272, 994, 331, 272, 27044, 263, 271, 267, 476, 736, 994, 331, 272, 27044, 263, 271, 267, 1412, 15916, 2262, 5073, 2745, 10857, 272, 994, 331, 272, 21014, 4590, 2745, 10857, 272, 994, 23437, 10857, 272, 314, 271, 7481, 2745, 10857, 272, 994, 23437, 10857, 272, 314, 273, 7481, 2745, 10857, 272, 994, 2745, 32384, 10857, 272, 4917, 2745, 263, 2381, 10857, 272, 11723, 338, 5448, 815, 476, 271, 454, 1721, 27089, 538, 561, 272, 912, 825, 1474, 320, 815, 1474, 320, 1341, 27089, 692, 2745, 6600, 781, 5448, 815, 2715, 338, 5448, 348, 5073, 2745, 6600, 781, 5448, 798, 3193, 552, 1295, 815, 2715, 10946, 10857, 272, 264, 1341, 1295, 10857, 272, 14587, 17210, 331, 815, 18358, 11415, 3299, 6936, 267, 476, 277, 269, 279, 267, 476, 1015, 2639, 1721, 6221, 538, 561, 912, 825, 1820, 6600, 262, 346, 14403, 348, 3299, 1826, 263, 14403, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 11227, 1315, 23620, 1315, 8466, 1315, 4937, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1306, 519, 8321, 566, 585, 22556, 4679, 267, 9409, 849, 10953, 547, 519, 1482, 6708, 563, 299, 7776, 570, 30349, 3081, 602, 972, 568, 835, 1533, 538, 2470, 267, 2705, 267, 950, 649, 798, 711, 2015, 519, 1727, 657, 2572, 693, 782, 269, 2334, 568, 519, 5207, 1533, 269, 1261, 7125, 621, 28001, 269, 28001, 568, 519, 1533, 540, 835, 781, 2470, 950, 649, 616, 711, 3222, 540, 2901, 1434, 610, 3983, 269, 1879, 649, 798, 711, 1256, 917, 1018, 621, 568, 547, 581, 1434, 543, 1018, 621, 568, 547, 581, 3983, 267, 602, 568, 519, 18678, 22471, 650, 640, 563, 2026, 4166, 607, 649, 917, 1018, 32660, 568, 267, 621, 1797, 649, 723, 1702, 540, 1875, 28878, 15667, 1145, 563, 17798, 513, 1360, 4277, 1249, 2501, 547, 1769, 281, 519, 22233, 812, 814, 2407, 1702, 540, 796, 2431, 15667, 1145, 267, 799, 568, 711, 1256, 1634, 547, 519, 796, 2431, 15667, 812, 269, 589, 1434, 812, 6487, 9409, 538, 922, 1295, 583, 652, 1469, 269, 1403, 513, 812, 3587, 6857, 540, 1072, 621, 1797, 646, 814, 1831, 2192, 269, 634, 811, 1702, 513, 812, 814, 540, 1072, 267, 519, 811, 2192, 646, 568, 269, 1261, 945, 568, 7683, 6857, 540, 1072, 3112, 581, 513, 2635, 1268, 269, 901, 568, 513, 1360, 7096, 4576, 563, 299, 7776, 570, 30349, 3081, 602, 519, 7771, 540, 28001, 3459, 609, 519, 7771, 540, 2470, 269, 834, 2177, 5990, 667, 4488, 299, 12114, 5508, 5990, 24321, 2969, 25526, 302, 267, 5990, 11298, 6311, 305, 2562, 2464, 5508, 670, 9331, 3198, 14510, 6730, 808, 4785, 2316, 4753, 589, 4629, 10345, 4799, 306, 904, 5487, 334, 570, 30349, 281, 950, 812, 729, 1100, 3476, 812, 267, 519, 29625, 540, 8103, 543, 5126, 21256, 269, 1284, 1589, 519, 9258, 547, 581, 519, 4890, 640, 269, 1284, 3494, 602, 952, 649, 23491, 519, 29625, 540, 8103, 543, 5126, 267, 649, 4927, 1831, 1480, 269, 5487, 334, 570, 30349, 3081, 267, 891, 29625, 7902, 1152, 950, 812, 729, 812, 1100, 3476, 563, 10190, 649, 3459, 547, 17938, 677, 1004, 547, 581, 1480, 563, 14549, 7919, 616, 1480, 7919, 282, 972, 568, 1100, 2243, 540, 4742, 269, 1677, 1831, 1480, 10522, 602, 649, 723, 13175, 547, 2887, 689, 8103, 269, 5487, 334, 570, 30349, 3081, 602, 519, 1390, 14985, 540, 8103, 543, 5126, 729, 4535, 538, 519, 7771, 540, 8103, 269, 19227, 513, 812, 568, 1480, 676, 2470, 269, 13185, 540, 5126, 5956, 1152, 950, 21440, 5956, 269, 2913, 721, 1174, 713, 563, 15447, 1578, 2501, 609, 519, 6587, 269, 1879, 649, 2161, 972, 1058, 581, 1100, 21440, 267, 972, 1058, 1152, 581, 5126, 267, 519, 2495, 568, 2312, 281, 602, 21440, 814, 3323, 269, 634, 811, 649, 3956, 585, 5126, 267, 519, 811, 21440, 19082, 269, 1284, 2161, 972, 1058, 581, 1702, 267, 1317, 22293, 568, 2620, 269, 634, 811, 649, 11441, 547, 2333, 1702, 267, 519, 4514, 22293, 3587, 563, 3086, 519, 4639, 814, 13175, 547, 1174, 5487, 334, 570, 30349, 269, 1703, 616, 1082, 15826, 1004, 538, 519, 4639, 1631, 945, 1745, 602, 741, 2631, 540, 2418, 1058, 581, 556, 528, 14314, 2059, 519, 3515, 540, 5487, 334, 570, 30349, 282, 789, 1058, 581, 18949, 539, 593, 519, 4493, 540, 5487, 334, 570, 30349, 781, 10752, 269, 2353, 519, 4031, 602, 723, 1044, 9112, 865, 2484, 585, 18495, 616, 14669, 547, 5487, 334, 570, 30349, 781, 10752, 269, 1284, 723, 19557, 547, 1346, 945, 1767, 267, 834, 14187, 1058, 7173, 841, 269, 1703, 1058, 581, 5126, 282, 972, 1058, 646, 7862, 1701, 1261, 19557, 547, 1346, 945, 840, 3737, 602, 972, 1058, 581, 8103, 267, 5191, 267, 7862, 1701, 1809, 1018, 616, 519, 2164, 888, 296, 337, 649, 1413, 693, 519, 2164, 267, 1919, 786, 1831, 2312, 547, 721, 269, 634, 2179, 540, 1702, 602, 7173, 5661, 2221, 2760, 1354, 11478, 538, 713, 1158, 543, 2943, 812, 729, 2760, 607, 17399, 656, 1354, 607, 646, 568, 2221, 269, 901, 4667, 19433, 673, 269, 1924, 1454, 1702, 543, 865, 1454, 22293, 693, 519, 1482, 942, 256, 5487, 334, 570, 30349, 1131, 711, 723, 1044, 14281, 585, 646, 1767, 267, 834, 763, 811, 596, 2333, 1702, 267, 519, 811, 22293, 786, 3262, 1701, 901, 568, 3808, 547, 536, 3530, 548, 721, 1498, 267, 1317, 649, 1745, 602, 519, 811, 1702, 649, 3262, 267, 519, 811, 22293, 786, 581, 16701, 5344, 269, 901, 568, 938, 7954, 281, 950, 1702, 4679, 267, 22293, 1058, 6175, 563, 3719, 1686, 1281, 711, 7703, 721, 856, 282, 621, 3947, 1100, 6169, 547, 938, 3069, 269, 1703, 568, 1100, 8969, 602, 519, 13557, 540, 1702, 814, 2799, 269, 12866, 8536, 1007, 2835, 616, 3370, 1142, 3018, 269, 12866, 8536, 1007, 2835, 32694, 538, 938, 8021, 269, 3776, 9945, 543, 938, 8021, 1832, 9750, 269, 634, 1702, 540, 1142, 1641, 12217, 1007, 22534, 543, 1055, 6879, 334, 1824, 269, 10228, 2160, 4805, 8255, 6030, 538, 476, 11740, 5396, 2336, 5472, 1472, 649, 616, 2810, 1702, 269, 5272, 1554, 649, 723, 547, 2736, 1524, 513, 1906, 8371, 689, 519, 3529, 540, 1702, 799, 616, 8572, 547, 7703, 519, 5230, 11411, 269, 4653, 267, 952, 513, 1268, 6499, 547, 917, 3388, 827, 513, 1507, 3364, 899, 519, 3750, 267, 513, 1272, 6066, 568, 711, 2614, 8731, 621, 1256, 952, 646, 2090, 1169, 1554, 563, 3383, 649, 723, 547, 7941, 1919, 1631, 269, 1703, 729, 513, 942, 950, 835, 4387, 1223, 1521, 938, 2898, 1560, 910, 1702, 729, 865, 2370, 269, 3973, 1702, 2799, 267, 543, 12665, 3576, 519, 1747, 540, 519, 2489, 19995, 269, 3767, 649, 723, 513, 1114, 4387, 585, 519, 1114, 2694, 540, 519, 1560, 269, 1809, 1631, 267, 519, 1702, 540, 1142, 851, 568, 4742, 865, 1527, 2224, 602, 513, 2582, 11285, 568, 8572, 547, 11883, 609, 621, 563, 11997, 267, 538, 3013, 1631, 267, 789, 1745, 602, 621, 568, 711, 2922, 547, 7048, 593, 513, 1480, 4387, 269, 23675, 4805, 666, 581, 540, 948, 269, 1924, 538, 519, 2104, 267, 519, 1533, 540, 12602, 786, 581, 971, 602, 513, 8797, 812, 786, 581, 835, 945, 666, 960, 513, 2780, 269, 3973, 621, 786, 711, 581, 2556, 585, 513, 4387, 547, 1451, 4915, 269, 2353, 646, 991, 798, 1131, 581, 547, 3049, 519, 2780, 543, 1205, 519, 2626, 563, 15447, 1578, 568, 2810, 609, 971, 4028, 640, 602, 513, 2582, 1480, 2247, 568, 8572, 547, 3180, 621, 269, 1924, 1082, 2835, 616, 2854, 602, 789, 666, 1100, 3476, 581, 6854, 538, 8021, 267, 1317, 1287, 519, 5399, 786, 6445, 519, 2898, 1158, 269, 898, 568, 1767, 602, 972, 616, 865, 1082, 2835, 538, 519, 18293, 7732, 602, 952, 519, 7484, 15236, 616, 6854, 2427, 676, 2427, 267, 789, 1131, 979, 1472, 519, 1158, 2899, 269, 5808, 568, 2469, 547, 3914, 782, 891, 2835, 888, 3086, 789, 616, 1818, 2890, 268, 9248, 267, 2890, 8874, 540, 1142, 1433, 269, 589, 1433, 540, 513, 8536, 3817, 786, 581, 8659, 538, 835, 2985, 269, 1452, 3817, 666, 581, 6740, 269, 24269, 513, 1268, 6499, 547, 1224, 621, 267, 646, 666, 1152, 1224, 621, 609, 519, 948, 540, 513, 1788, 528, 269, 634, 2025, 1259, 540, 2542, 786, 581, 22573, 563, 20486, 616, 2810, 282, 1702, 568, 2810, 269, 1924, 1631, 7262, 3744, 616, 14126, 827, 875, 782, 713, 1702, 666, 581, 11843, 547, 519, 6107, 286, 634, 1007, 7678, 540, 2219, 568, 267, 602, 2069, 1058, 711, 1439, 693, 519, 2085, 540, 8938, 547, 8938, 19317, 269, 1403, 649, 3112, 13599, 1004, 11489, 519, 2085, 540, 15823, 267, 2069, 786, 723, 1100, 2495, 1310, 519, 2490, 540, 713, 2540, 269, 1809, 952, 649, 616, 547, 13599, 513, 1268, 11489, 646, 568, 15823, 267, 950, 786, 646, 2253, 547, 2661, 286, 1703, 568, 1100, 1259, 585, 1864, 547, 2661, 563, 1607, 5012, 547, 1776, 2856, 281, 3965, 24328, 269, 1879, 513, 812, 10523, 267, 1010, 3965, 1058, 581, 24721, 543, 1098, 680, 5896, 883, 519, 2634, 540, 513, 1126, 865, 602, 519, 1126, 1281, 711, 723, 547, 1451, 1346, 1919, 602, 1010, 4651, 1185, 547, 1451, 269, 1403, 519, 1126, 4991, 519, 4651, 781, 3965, 267, 646, 666, 8399, 6619, 547, 10536, 1007, 1702, 269, 11310, 568, 865, 1454, 2336, 3719, 952, 649, 1413, 693, 812, 267, 593, 519, 824, 1688, 267, 649, 1294, 705, 7631, 762, 22293, 267, 22293, 602, 568, 31029, 2336, 2171, 917, 782, 827, 519, 6801, 543, 519, 7599, 267, 855, 649, 917, 4986, 827, 6000, 269, 1284, 723, 1336, 2081, 543, 1797, 547, 3914, 9370, 267, 855, 547, 3914, 938, 1378, 1582, 4667, 547, 581, 513, 1360, 2484, 2476, 20790, 602, 4667, 1134, 562, 662, 7543, 269, 1703, 568, 865, 1454, 1702, 543, 812, 568, 865, 796, 817, 3293, 256, 1261, 814, 1100, 22059, 540, 2479, 6616, 5128, 563, 5978, 1702, 2221, 568, 865, 1454, 602, 649, 917, 875, 10845, 568, 4646, 267, 875, 519, 3023, 27780, 592, 572, 1568, 543, 1018, 568, 922, 6915, 2275, 13511, 269, 17700, 1705, 711, 723, 713, 1702, 547, 2721, 2390, 269, 1809, 17700, 6785, 2614, 865, 602, 10845, 1705, 711, 8451, 538, 1864, 267, 3023, 1705, 711, 8451, 538, 1864, 269, 1284, 917, 3388, 827, 21425, 267, 3388, 827, 3023, 267, 855, 649, 723, 1100, 1852, 936, 621, 31049, 269, 1284, 917, 865, 1454, 827, 621, 855, 621, 1869, 8731, 906, 721, 269, 8550, 729, 812, 865, 8731, 7757, 676, 3023, 2336, 5978, 1702, 814, 2799, 538, 7274, 269, 1924, 814, 938, 22293, 269, 8550, 814, 812, 1044, 865, 31604, 607, 646, 568, 2221, 269, 1261, 814, 1100, 5132, 538, 5128, 282, 646, 7959, 865, 538, 31261, 269, 5020, 4667, 2495, 1652, 269, 3973, 621, 568, 1978, 602, 519, 4909, 3741, 593, 799, 649, 723, 1759, 938, 1272, 723, 1044, 8810, 4636, 563, 10048, 814, 4553, 519, 7954, 540, 17127, 269, 1261, 814, 1767, 602, 950, 1702, 4679, 22293, 786, 642, 4314, 269, 901, 568, 2241, 6128, 269, 5487, 334, 570, 30349, 781, 9273, 3100, 547, 10043, 2389, 584, 11803, 269, 1261, 3081, 602, 952, 1702, 4679, 267, 22293, 849, 4679, 269, 3143, 835, 6976, 646, 539, 547, 5487, 334, 570, 30349, 269, 1548, 646, 1767, 8604, 2192, 16479, 267, 543, 8754, 711, 17709, 540, 5469, 269, 898, 568, 1152, 2067, 602, 938, 2247, 1058, 1174, 971, 513, 2241, 3364, 602, 950, 1702, 4679, 267, 22293, 1058, 6175, 269, 4475, 267, 17127, 2968, 519, 8998, 585, 782, 8103, 269, 634, 4639, 814, 2919, 922, 2257, 7357, 593, 519, 4493, 540, 17127, 563, 3719, 1631, 267, 950, 1919, 723, 2919, 811, 621, 4667, 602, 5310, 5487, 334, 570, 30349, 729, 2953, 269, 769, 519, 2063, 15823, 1296, 267, 519, 7214, 1004, 540, 519, 4639, 723, 1044, 7680, 1272, 547, 581, 2495, 1652, 269, 1703, 4667, 547, 581, 1100, 2601, 1946, 649, 2661, 267, 1946, 649, 547, 559, 267, 1946, 519, 19048, 543, 32370, 269, 4208, 798, 649, 2661, 693, 782, 286, 1703, 4667, 547, 581, 1100, 2601, 269, 590, 691, 516, 814, 1767, 267, 834, 2171, 723, 547, 2661, 1996, 938, 786, 269, 1284, 616, 4535, 1996, 938, 786, 543, 835, 1554, 649, 616, 3144, 2476, 1510, 938, 9844, 269, 8307, 835, 3364, 568, 538, 938, 3946, 912, 24175, 8336, 269, 1703, 568, 24076, 3116, 602, 649, 666, 3635, 938, 786, 269, 5020, 568, 513, 3781, 332, 732, 4799, 18661, 6487, 875, 1082, 30921, 723, 8149, 11980, 538, 519, 2063, 15823, 1296, 269, 4658, 723, 7166, 2933, 1354, 855, 789, 941, 1875, 10784, 21526, 338, 269, 901, 568, 513, 12007, 3017, 269, 3767, 1919, 723, 6603, 971, 513, 1780, 538, 519, 4639, 602, 952, 606, 7214, 1281, 711, 3479, 11980, 267, 1010, 4987, 568, 6065, 1540, 269, 1403, 1272, 568, 2495, 1652, 267, 11980, 568, 519, 1152, 1259, 856, 269, 3973, 1946, 1058, 835, 1491, 519, 8373, 547, 2661, 888, 301, 6359, 31582, 5206, 513, 4484, 1354, 22867, 11980, 538, 799, 646, 1767, 267, 834, 296, 993, 22867, 11980, 855, 798, 711, 1491, 803, 547, 581, 513, 10800, 731, 269, 898, 568, 519, 824, 1259, 827, 269, 1411, 616, 10800, 1841, 1317, 596, 3112, 1491, 707, 1272, 269, 4475, 596, 2661, 269, 594, 993, 711, 513, 10800, 731, 269, 4475, 594, 993, 1863, 532, 8885, 689, 519, 2495, 1652, 554, 755, 548, 543, 11861, 548, 540, 1018, 596, 1289, 1272, 4799, 1432, 715, 6359, 31582, 3081, 568, 711, 7357, 4636, 269, 1403, 649, 2307, 6000, 519, 2243, 1946, 649, 2661, 593, 267, 5310, 621, 568, 1317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1007, 3337, 267, 4611, 538, 1079, 811, 5546, 269, 634, 1152, 835, 538, 519, 5119, 602, 814, 1152, 2944, 621, 2899, 568, 1283, 2451, 6721, 1152, 835, 3337, 267, 543, 865, 519, 3070, 568, 540, 621, 3257, 621, 7466, 568, 667, 780, 2690, 1346, 945, 1869, 3112, 1246, 803, 1384, 2252, 649, 1297, 519, 17981, 689, 476, 272, 268, 280, 267, 2451, 547, 1318, 1283, 547, 5377, 519, 5311, 4422, 1141, 1142, 519, 3337, 538, 1142, 1297, 267, 1141, 538, 1142, 15654, 1297, 519, 3337, 29226, 476, 3393, 5232, 29628, 1384, 279, 910, 476, 274, 910, 476, 275, 692, 277, 910, 278, 910, 476, 273, 692, 272, 910, 476, 276, 910, 476, 280, 263, 1492, 2626, 2020, 1892, 594, 1589, 713, 568, 2626, 6941, 519, 10701, 340, 885, 519, 1655, 269, 1107, 1109, 7468, 1550, 1546, 3704, 28310, 4239, 476, 4029, 1412, 736, 693, 476, 276, 281, 4375, 0, 1012, 26905, 4303, 476, 272, 281, 3502, 2372, 924, 700, 7371, 4534, 7042, 306, 9017, 729, 15691, 585, 513, 3043, 8285, 267, 855, 1010, 4365, 3684, 781, 834, 338, 852, 257, 1599, 568, 13324, 676, 6801, 267, 543, 646, 781, 4195, 856, 256, 1677, 4688, 8285, 267, 646, 2115, 596, 547, 2445, 15823, 6801, 676, 5412, 476, 1839, 628, 780, 8624, 937, 6801, 676, 4543, 13244, 4194, 13410, 269, 5565, 13410, 786, 581, 1500, 2139, 593, 1142, 1554, 538, 519, 13491, 11706, 282, 519, 2034, 11015, 568, 12260, 539, 950, 596, 2347, 519, 1101, 269, 3962, 11015, 14828, 835, 5182, 269, 6153, 9939, 2439, 2080, 781, 606, 2653, 11015, 547, 3636, 596, 909, 780, 306, 9017, 568, 3843, 547, 5838, 6799, 538, 513, 1804, 19887, 2679, 267, 855, 646, 666, 1405, 1265, 519, 1318, 6989, 910, 519, 8846, 646, 3893, 616, 513, 2370, 14845, 269, 1261, 6238, 593, 519, 2666, 6989, 630, 28776, 2387, 271, 319, 264, 543, 1287, 5205, 519, 5528, 835, 1915, 693, 513, 942, 780, 2304, 6679, 2385, 4185, 267, 25464, 12452, 1797, 646, 1058, 979, 909, 835, 6989, 267, 543, 513, 14656, 2385, 4185, 267, 2387, 264, 12452, 1797, 646, 1058, 979, 1524, 835, 6989, 780, 763, 19887, 2679, 568, 1360, 7381, 267, 543, 519, 25810, 568, 1360, 2620, 282, 646, 786, 2760, 1265, 519, 1283, 610, 5377, 19683, 780, 2690, 1383, 1384, 1892, 25464, 3890, 23375, 543, 2387, 3890, 13237, 1312, 1267, 538, 6989, 2387, 271, 319, 563, 1892, 2387, 9230, 263, 319, 543, 25464, 3890, 263, 3890, 263, 319, 1312, 1267, 538, 6989, 2387, 274, 319, 563, 1892, 2387, 4297, 9230, 9230, 263, 319, 849, 2164, 538, 6989, 2387, 274, 319, 563, 1892, 2387, 3890, 23375, 543, 2387, 4297, 263, 319, 1312, 1267, 538, 6989, 2387, 268, 272, 319, 630, 1492, 1101, 25810, 1377, 1916, 1892, 2387, 4297, 23375, 543, 2387, 264, 28829, 3890, 23375, 1312, 1267, 538, 6989, 2387, 268, 274, 27471, 2414, 1018, 6989, 798, 519, 5528, 1491, 13244, 2496, 1012, 26905, 3487, 5565, 4534, 7042, 3086, 267, 2016, 519, 1482, 5528, 267, 1265, 519, 2990, 540, 519, 1101, 1915, 602, 3123, 1864, 547, 4283, 519, 25810, 630, 28776, 2387, 268, 272, 319, 1040, 634, 1101, 1915, 538, 519, 5528, 814, 2990, 2387, 272, 12452, 519, 2034, 1915, 814, 2990, 2387, 273, 12452, 543, 865, 593, 780, 2690, 1383, 1384, 1892, 2387, 23375, 3123, 1864, 547, 4283, 519, 25810, 693, 1915, 2990, 2387, 272, 319, 563, 1892, 2387, 3890, 3890, 23375, 3123, 1864, 547, 4283, 519, 25810, 693, 1915, 2990, 2387, 276, 27471, 1432, 568, 519, 2990, 540, 519, 1915, 602, 3123, 13244, 547, 1101, 4283, 519, 25810, 2496, 1012, 681, 755, 8827, 692, 18606, 2224, 15309, 326, 2096, 318, 583, 559, 15311, 265, 3248, 2224, 31901, 15311, 325, 31198, 15311, 2237, 3248, 2224, 31901, 15311, 1470, 15311, 265, 16963, 2280, 4573, 621, 815, 5467, 269, 6050, 14061, 14090, 263, 347, 331, 347, 561, 26509, 342, 1905, 3890, 11850, 2280, 1899, 815, 621, 12785, 14061, 684, 342, 1905, 3890, 3248, 2280, 759, 272, 281, 1775, 3953, 815, 1899, 26716, 1513, 14061, 14090, 263, 347, 322, 347, 952, 524, 2652, 1412, 3488, 2715, 476, 272, 7684, 3116, 2715, 910, 272, 7684, 1040, 8999, 3890, 3248, 2280, 4573, 6989, 815, 476, 271, 3248, 2280, 4573, 759, 273, 815, 476, 271, 3248, 1721, 630, 328, 267, 524, 264, 538, 1899, 269, 10420, 318, 785, 1182, 3890, 13634, 637, 273, 815, 1775, 1341, 476, 272, 3248, 28776, 6834, 952, 524, 2652, 1412, 3488, 2715, 476, 272, 7684, 3116, 2715, 910, 272, 7684, 3248, 604, 6989, 2652, 910, 272, 13634, 19874, 3248, 8679, 8679, 16261, 601, 333, 256, 263, 23116, 267, 834, 24001, 2580, 759, 272, 1040, 684, 342, 1905, 3890, 3248, 16261, 601, 333, 256, 263, 23116, 267, 834, 24001, 2580, 759, 273, 1040, 684, 342, 1905, 3890, 3248, 348, 0, 306, 15471, 2685, 4080, 713, 15942, 6011, 563, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 476, 276, 269, 275, 32437, 3955, 1061, 4813, 692, 1724, 267, 13923, 5784, 692, 13775, 593, 692, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 1892, 4270, 1500, 6881, 267, 2523, 519, 2592, 563, 10674, 2517, 4178, 9884, 5454, 321, 714, 18080, 14492, 454, 10674, 2517, 4178, 9884, 5454, 321, 714, 18080, 14492, 11305, 14394, 11721, 514, 2574, 268, 18080, 13045, 10674, 2517, 4178, 9884, 5454, 321, 714, 18080, 14492, 11305, 14394, 270, 5979, 753, 270, 692, 6701, 596, 2386, 596, 1616, 547, 1109, 8786, 1109, 3143, 692, 2162, 476, 276, 269, 275, 32437, 3955, 1061, 4813, 692, 272, 269, 476, 272, 269, 32437, 3955, 1061, 4813, 476, 276, 269, 275, 454, 273, 269, 476, 273, 269, 2473, 3955, 1061, 2999, 592, 12481, 2993, 285, 8489, 519, 1899, 22613, 519, 1535, 7852, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 8489, 519, 1899, 22613, 519, 586, 7852, 21742, 2993, 20565, 592, 285, 312, 3955, 1061, 454, 274, 269, 476, 274, 269, 4855, 519, 1535, 543, 586, 18448, 338, 269, 3973, 3113, 519, 3252, 2630, 269, 2999, 592, 12481, 2993, 285, 272, 269, 1535, 1341, 586, 815, 910, 273, 21742, 2993, 20565, 592, 285, 311, 910, 5793, 1061, 910, 476, 271, 585, 586, 2473, 1341, 476, 271, 815, 910, 273, 2473, 815, 910, 273, 11196, 273, 267, 476, 271, 264, 476, 271, 1341, 586, 815, 910, 273, 2473, 1341, 586, 815, 910, 273, 962, 25435, 910, 476, 271, 585, 1535, 962, 815, 910, 273, 630, 271, 267, 910, 273, 994, 275, 269, 476, 275, 269, 4855, 519, 1535, 543, 586, 18448, 338, 269, 3973, 3113, 519, 3252, 2630, 269, 2999, 592, 12481, 2993, 285, 8987, 273, 267, 476, 271, 264, 543, 630, 271, 267, 910, 273, 264, 21742, 2993, 20565, 592, 285, 343, 586, 454, 276, 269, 476, 276, 269, 4855, 519, 1535, 543, 586, 18448, 338, 269, 3973, 3113, 519, 3252, 2630, 269, 2999, 592, 12481, 2993, 285, 274, 269, 476, 275, 343, 1341, 476, 276, 344, 815, 476, 736, 21742, 2993, 20565, 592, 285, 311, 910, 5793, 1061, 476, 275, 343, 1341, 476, 276, 263, 271, 264, 815, 476, 736, 476, 275, 343, 1341, 476, 271, 815, 476, 736, 476, 275, 343, 815, 476, 736, 476, 275, 263, 271, 264, 1341, 476, 276, 344, 815, 476, 736, 476, 275, 343, 1341, 476, 276, 344, 815, 476, 736, 962, 25435, 476, 271, 1341, 476, 276, 344, 815, 476, 736, 476, 276, 344, 815, 476, 736, 21680, 275, 318, 21680, 275, 1535, 815, 476, 276, 630, 276, 267, 476, 271, 264, 21680, 276, 21680, 276, 586, 815, 476, 275, 630, 271, 267, 476, 275, 994, 277, 269, 476, 277, 269, 4855, 519, 1535, 543, 586, 18448, 338, 269, 3973, 3113, 519, 3252, 2630, 269, 2999, 592, 12481, 2993, 285, 274, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 263, 276, 267, 476, 271, 264, 543, 630, 271, 267, 476, 275, 264, 21742, 2993, 20565, 592, 285, 343, 586, 454, 278, 269, 476, 278, 269, 18500, 2999, 592, 12481, 2993, 285, 20228, 2100, 3955, 1061, 4813, 1107, 1323, 3830, 538, 519, 1106, 586, 815, 544, 343, 1341, 536, 21742, 2993, 20565, 592, 11417, 279, 269, 476, 279, 269, 32437, 3955, 1061, 4813, 910, 7151, 454, 280, 269, 476, 280, 269, 476, 275, 269, 3503, 606, 3830, 540, 519, 1899, 2016, 1079, 2798, 269, 544, 815, 4473, 2196, 630, 271, 267, 476, 275, 264, 630, 276, 267, 476, 274, 264, 815, 910, 272, 476, 276, 476, 272, 269, 12433, 32437, 476, 273, 269, 3503, 17817, 962, 815, 544, 343, 1341, 536, 962, 815, 910, 272, 1535, 1341, 476, 275, 476, 276, 586, 1535, 454, 1015, 269, 476, 1015, 269, 476, 276, 269, 3503, 606, 3830, 540, 519, 1899, 2016, 1079, 2798, 269, 544, 815, 4473, 2196, 630, 271, 267, 476, 275, 264, 630, 275, 267, 910, 273, 264, 815, 910, 277, 476, 275, 476, 272, 269, 12433, 32437, 476, 273, 269, 3503, 17817, 962, 815, 544, 343, 1341, 536, 962, 815, 910, 274, 1535, 1341, 476, 275, 476, 273, 815, 910, 274, 476, 273, 586, 1535, 454, 1556, 269, 476, 1556, 269, 3503, 606, 3830, 540, 513, 1899, 2016, 519, 1739, 9386, 543, 1448, 269, 2999, 592, 12481, 2993, 285, 278, 269, 32437, 568, 910, 275, 282, 8672, 568, 11196, 272, 267, 476, 274, 264, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 3721, 476, 272, 281, 10576, 32437, 1299, 623, 1206, 21742, 2993, 20565, 592, 285, 332, 815, 910, 275, 2473, 815, 910, 272, 962, 815, 544, 343, 1341, 536, 5153, 476, 273, 281, 4855, 586, 25435, 586, 815, 476, 274, 815, 910, 275, 8987, 272, 264, 1341, 536, 476, 274, 815, 476, 275, 1341, 536, 476, 274, 910, 275, 910, 275, 910, 272, 815, 536, 5153, 476, 274, 281, 3503, 17817, 962, 815, 544, 343, 1341, 536, 962, 815, 910, 275, 343, 1341, 910, 272, 454, 1321, 269, 476, 1321, 269, 3503, 606, 3830, 540, 513, 1899, 2016, 519, 1739, 9386, 543, 1448, 269, 2999, 592, 12481, 2993, 285, 280, 269, 32437, 568, 476, 272, 270, 273, 282, 8672, 568, 630, 275, 267, 476, 274, 264, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 3721, 476, 272, 281, 10576, 32437, 1299, 623, 1206, 21742, 2993, 20565, 592, 285, 332, 815, 476, 272, 270, 273, 2473, 815, 476, 275, 962, 815, 544, 343, 1341, 536, 5153, 476, 273, 281, 4855, 586, 25435, 586, 815, 476, 274, 815, 476, 272, 270, 273, 263, 275, 264, 1341, 536, 476, 274, 815, 476, 273, 1341, 536, 476, 274, 910, 273, 910, 273, 476, 272, 815, 536, 5153, 476, 274, 281, 3503, 17817, 962, 815, 544, 343, 1341, 536, 962, 815, 476, 272, 270, 273, 343, 1341, 476, 272, 454, 1724, 269, 476, 1724, 269, 3503, 606, 3830, 540, 513, 1899, 602, 10596, 998, 519, 1739, 2798, 269, 2999, 592, 12481, 2993, 285, 1015, 269, 11196, 273, 267, 476, 276, 264, 543, 630, 273, 267, 910, 272, 264, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 3721, 476, 272, 281, 10576, 32437, 1299, 623, 1206, 21742, 2993, 20565, 592, 285, 16435, 2100, 815, 4473, 815, 586, 476, 273, 1107, 586, 476, 272, 815, 2196, 1535, 476, 273, 1107, 1535, 476, 272, 910, 272, 910, 476, 276, 815, 476, 273, 910, 11196, 273, 264, 1535, 476, 272, 2073, 586, 476, 272, 1535, 476, 273, 2073, 586, 476, 273, 910, 277, 815, 476, 275, 910, 274, 476, 273, 454, 1691, 269, 476, 1691, 269, 3503, 606, 3830, 540, 513, 1899, 602, 10596, 998, 519, 1739, 2798, 269, 2999, 592, 12481, 2993, 285, 1015, 269, 11196, 273, 267, 476, 276, 264, 543, 630, 273, 267, 910, 272, 264, 21742, 2993, 20565, 592, 285, 312, 815, 544, 343, 1341, 536, 5153, 476, 273, 281, 4855, 586, 25435, 476, 276, 815, 910, 274, 270, 273, 8987, 273, 264, 1341, 536, 476, 276, 815, 476, 274, 1341, 536, 910, 274, 910, 274, 476, 273, 815, 536, 5153, 476, 274, 281, 3503, 17817, 962, 815, 544, 343, 1341, 536, 962, 815, 910, 274, 270, 273, 343, 1341, 476, 273, 454, 1428, 269, 476, 1428, 269, 3503, 606, 3830, 540, 513, 1899, 602, 10596, 998, 519, 1739, 2798, 269, 2999, 592, 12481, 2993, 285, 1556, 269, 630, 272, 267, 910, 273, 264, 543, 11196, 276, 267, 275, 264, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 3721, 476, 272, 281, 10576, 32437, 1299, 623, 1206, 21742, 2993, 20565, 592, 285, 16435, 2100, 815, 4473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23427, 11982, 454, 268, 3690, 28193, 28533, 754, 880, 20397, 609, 4187, 547, 674, 639, 10740, 530, 2830, 9341, 5198, 476, 275, 269, 7186, 18058, 267, 7186, 18058, 269, 630, 1001, 278, 264, 667, 1446, 267, 808, 1421, 6276, 267, 589, 1421, 6754, 267, 808, 25286, 1421, 10609, 13860, 267, 670, 1421, 8055, 267, 631, 1421, 3131, 18054, 7232, 3832, 591, 6319, 267, 590, 1421, 25661, 807, 268, 645, 770, 573, 553, 267, 674, 1421, 918, 9047, 267, 717, 1421, 4826, 5264, 267, 623, 1421, 631, 12310, 523, 267, 918, 543, 670, 8973, 267, 681, 269, 630, 1001, 278, 1916, 268, 13642, 20397, 538, 519, 2361, 281, 11506, 4829, 605, 13001, 341, 9559, 589, 689, 519, 4082, 540, 513, 2582, 19337, 1098, 2102, 324, 267, 7233, 30911, 630, 1001, 278, 264, 6754, 267, 808, 25286, 1421, 10609, 13860, 267, 670, 1421, 21890, 573, 517, 267, 808, 1421, 14208, 836, 267, 623, 1421, 2983, 6359, 338, 7719, 267, 808, 1421, 8355, 328, 20635, 267, 808, 1421, 2098, 320, 680, 514, 267, 661, 1421, 25347, 6199, 267, 962, 1421, 6276, 267, 589, 1421, 631, 331, 531, 21532, 267, 645, 269, 1546, 334, 267, 623, 1421, 1488, 2088, 527, 933, 267, 717, 1421, 21601, 1415, 320, 267, 623, 1421, 1546, 14982, 267, 667, 1421, 570, 785, 600, 1415, 790, 267, 808, 1421, 570, 639, 1335, 699, 597, 933, 267, 654, 1421, 670, 8973, 267, 681, 269, 543, 667, 1446, 267, 808, 563, 268, 7233, 2920, 10474, 281, 606, 1802, 24862, 267, 3834, 699, 343, 16054, 3760, 585, 21921, 5364, 3940, 2504, 538, 2371, 267, 634, 7233, 8426, 630, 1001, 274, 1040, 667, 1872, 23014, 267, 645, 1421, 18200, 25534, 267, 595, 1421, 918, 6737, 267, 631, 1421, 6276, 267, 570, 1421, 670, 8973, 267, 681, 269, 543, 667, 1446, 267, 808, 563, 304, 7473, 1382, 1223, 1439, 2518, 19337, 3463, 454, 304, 7473, 543, 29088, 16743, 723, 9250, 513, 1269, 280, 269, 279, 2929, 1382, 1788, 547, 1020, 28533, 754, 880, 543, 7108, 325, 5424, 20397, 602, 616, 11259, 547, 24861, 23427, 17813, 476, 275, 630, 15045, 275, 1070, 513, 14686, 2068, 602, 568, 17116, 2518, 2504, 269, 0, 12867, 689, 7101, 321, 3716, 636, 322, 616, 519, 1152, 3283, 538, 519, 13814, 1210, 513, 1007, 1505, 547, 1118, 1732, 5761, 2860, 21904, 693, 606, 4505, 3942, 269, 25016, 2860, 568, 1631, 1152, 4362, 538, 513, 1804, 8167, 540, 2550, 1310, 621, 814, 2907, 22037, 553, 1242, 267, 543, 519, 4960, 540, 6051, 568, 16094, 4389, 269, 7216, 7020, 540, 519, 2068, 568, 267, 4061, 267, 540, 1390, 2956, 269, 3194, 676, 17422, 11285, 661, 20891, 8709, 3541, 1261, 6359, 6577, 543, 4791, 1099, 6048, 10162, 601, 7638, 21539, 1597, 2982, 602, 519, 946, 540, 8465, 9196, 3937, 3842, 519, 2067, 7929, 8778, 8309, 547, 513, 811, 4977, 5868, 563, 1724, 267, 1822, 5761, 2860, 21904, 829, 1032, 454, 9336, 1032, 267, 5111, 476, 1724, 267, 1822, 1004, 616, 8995, 609, 5761, 2860, 269, 21009, 540, 713, 1895, 568, 2907, 693, 606, 4359, 3942, 267, 609, 22037, 1162, 538, 824, 8219, 269, 9615, 568, 3622, 3908, 547, 32485, 519, 2068, 11144, 543, 4227, 2589, 269, 1403, 519, 2068, 568, 1152, 13883, 538, 519, 9641, 267, 972, 616, 811, 2126, 3681, 267, 543, 519, 4960, 540, 6051, 568, 2362, 269, 7216, 5868, 568, 267, 4061, 267, 4105, 269, 901, 4992, 4443, 982, 621, 568, 282, 621, 568, 1419, 2352, 547, 1294, 1141, 519, 17244, 616, 13883, 10502, 543, 2436, 519, 9726, 9136, 1472, 519, 9641, 616, 2907, 4299, 563, 763, 12445, 1062, 786, 1291, 547, 519, 17244, 454, 12867, 693, 519, 8257, 540, 17422, 3676, 267, 538, 9316, 609, 5845, 2354, 267, 723, 5189, 513, 4480, 602, 3096, 519, 2067, 7929, 8778, 267, 3850, 606, 30229, 2126, 269, 901, 4480, 568, 1572, 12445, 19357, 22000, 630, 514, 10656, 1040, 901, 1505, 5654, 513, 2603, 899, 513, 8905, 4786, 609, 12445, 269, 634, 2473, 17530, 543, 11632, 18767, 540, 519, 9641, 1683, 519, 10629, 609, 513, 1412, 5802, 4786, 262, 3239, 540, 1141, 789, 1058, 979, 269, 634, 10629, 1287, 7696, 338, 513, 8546, 1107, 519, 19357, 24005, 1107, 609, 513, 3381, 8254, 998, 519, 3461, 781, 5023, 269, 3414, 519, 2067, 28296, 267, 519, 19357, 24005, 568, 9859, 2509, 519, 17244, 602, 723, 1044, 4857, 269, 634, 18767, 948, 519, 11285, 547, 6330, 547, 519, 1318, 3135, 269, 634, 10629, 666, 849, 946, 513, 13409, 11237, 11632, 11571, 585, 18784, 17244, 4092, 2620, 538, 519, 5761, 267, 1312, 1354, 543, 1282, 713, 5650, 269, 901, 1505, 11179, 7472, 1360, 4977, 1007, 2592, 269, 901, 2636, 519, 10629, 547, 1294, 602, 789, 723, 6603, 519, 25983, 1275, 267, 799, 568, 3006, 1447, 982, 513, 1298, 9014, 538, 2450, 563, 4263, 519, 1482, 942, 267, 519, 1505, 666, 581, 1031, 547, 2445, 513, 5160, 3732, 602, 666, 581, 7318, 5612, 269, 3683, 519, 2250, 1614, 1296, 267, 13500, 723, 8947, 827, 476, 4968, 2550, 538, 713, 1259, 269, 476, 3445, 260, 540, 4255, 4867, 6556, 519, 2953, 5868, 267, 519, 1482, 6060, 607, 585, 513, 23707, 855, 1510, 1022, 8374, 269, 1548, 779, 811, 267, 676, 1210, 519, 2067, 28296, 621, 568, 1631, 2009, 547, 1569, 4025, 602, 941, 5892, 2352, 547, 3914, 610, 1256, 11389, 778, 762, 563, 29128, 1631, 267, 26129, 2356, 7018, 676, 2625, 532, 519, 25983, 1275, 609, 513, 13549, 998, 519, 9221, 630, 335, 15802, 264, 610, 3842, 9221, 6391, 267, 1141, 513, 4062, 540, 5160, 729, 5833, 585, 2417, 4152, 269, 5637, 2409, 616, 9097, 267, 609, 811, 982, 476, 736, 260, 540, 519, 2665, 4611, 538, 13969, 1054, 528, 1314, 610, 2789, 6377, 30674, 269, 5221, 540, 519, 4220, 267, 711, 3025, 568, 14718, 585, 513, 14047, 675, 267, 799, 3006, 5012, 547, 7525, 2126, 267, 3006, 1510, 513, 9672, 5868, 269, 1703, 568, 4055, 585, 6454, 563, 292, 20891, 8709, 3541, 1261, 6359, 6577, 281, 834, 1103, 513, 3791, 547, 3368, 540, 782, 2550, 649, 7500, 593, 585, 5761, 2860, 267, 519, 5868, 568, 711, 9672, 269, 1358, 10929, 6391, 1317, 972, 568, 513, 27421, 540, 5761, 2860, 269, 11524, 723, 5982, 3797, 610, 18068, 1759, 593, 713, 27421, 269, 898, 1131, 581, 1454, 1732, 952, 649, 1223, 6166, 513, 5868, 865, 602, 649, 666, 1521, 1346, 945, 991, 621, 607, 4166, 607, 2009, 267, 855, 1810, 1405, 1521, 1004, 11032, 947, 3320, 4799, 9827, 5078, 585, 9726, 9136, 454, 1607, 8905, 3842, 519, 2067, 7929, 8778, 666, 849, 581, 1031, 547, 2638, 585, 22037, 1162, 538, 519, 9726, 9136, 1472, 519, 9641, 1282, 519, 1482, 5650, 269, 901, 786, 1118, 621, 4443, 547, 2697, 1022, 22037, 1162, 269, 3194, 630, 514, 5698, 609, 5234, 689, 645, 860, 3534, 267, 23509, 267, 24545, 267, 674, 8457, 267, 3525, 6511, 543, 10515, 32683, 264, 2982, 602, 519, 27162, 615, 519, 5160, 267, 519, 2362, 519, 1981, 540, 17244, 563, 1607, 1702, 2636, 585, 513, 1732, 1981, 9043, 540, 519, 1585, 9726, 9136, 269, 898, 13071, 519, 10629, 3313, 689, 799, 9726, 9136, 5160, 5439, 1058, 581, 6394, 585, 2417, 4152, 269, 661, 20891, 8709, 3541, 1261, 6359, 6577, 281, 834, 4322, 1079, 2090, 666, 1291, 547, 513, 5488, 5868, 267, 23248, 609, 513, 1732, 2126, 5133, 269, 898, 10607, 519, 1416, 649, 666, 1683, 543, 6087, 721, 547, 13209, 1312, 519, 10510, 543, 519, 9726, 9136, 811, 8308, 269, 901, 10741, 1007, 9885, 267, 543, 1522, 1256, 27464, 721, 538, 519, 4287, 540, 7525, 2126, 540, 2550, 269, 898, 1131, 711, 581, 519, 1101, 942, 513, 3461, 4280, 547, 4894, 519, 25983, 1275, 5612, 1247, 649, 941, 538, 972, 585, 519, 5868, 19037, 4799, 26397, 538, 1763, 7032, 14347, 454, 305, 1961, 540, 1439, 984, 1258, 577, 658, 16953, 8833, 1714, 770, 2762, 538, 519, 8446, 540, 4017, 549, 6776, 9726, 9136, 538, 26878, 1355, 2670, 281, 589, 12681, 1353, 454, 305, 665, 1723, 2558, 18066, 7236, 267, 10162, 601, 700, 12282, 269, 7638, 21539, 1597, 267, 1325, 612, 18588, 595, 766, 961, 1512, 328, 267, 1323, 2522, 13453, 1546, 8125, 4034, 686, 267, 8606, 2089, 334, 715, 7614, 328, 267, 661, 20891, 670, 12171, 8160, 269, 11709, 3541, 1261, 6359, 6577, 563, 16665, 3377, 3688, 454, 298, 310, 293, 9886, 585, 1732, 5542, 540, 2043, 543, 5761, 12162, 2737, 538, 5761, 2860, 9584, 272, 5437, 476, 1708, 272, 454, 763, 10656, 9435, 5980, 814, 13752, 519, 931, 24832, 1788, 2048, 25648, 21299, 1239, 1935, 585, 9608, 1242, 4934, 2492, 20530, 2109, 538, 5761, 2860, 9584, 685, 609, 513, 9886, 540, 476, 272, 267, 28883, 267, 1822, 16402, 269, 2051, 514, 10496, 10849, 786, 1291, 519, 960, 10189, 593, 1210, 5841, 4987, 585, 4977, 1981, 16759, 540, 5761, 12162, 2737, 18667, 811, 454, 12901, 328, 2389, 21310, 17533, 3075, 666, 581, 9108, 546, 2216, 1256, 2362, 1626, 4728, 476, 1708, 272, 454, 288, 14320, 2362, 9570, 540, 519, 4550, 2389, 21310, 17533, 3075, 20711, 2086, 545, 514, 568, 2922, 543, 666, 849, 1291, 547, 513, 10156, 2126, 585, 21061, 543, 1447, 4187, 18667, 811, 454, 20238, 2747, 5818, 24506, 1981, 540, 17150, 2860, 24088, 2641, 5130, 476, 1708, 272, 454, 2304, 3606, 5007, 15515, 600, 5982, 9570, 9447, 2047, 547, 519, 10510, 666, 4324, 519, 16548, 540, 2367, 609, 1875, 31475, 770, 1738, 17150, 2860, 267, 1510, 4929, 3606, 2427, 2360, 269, 634, 1981, 540, 26739, 1369, 2947, 1296, 585, 891, 2367, 568, 4130, 982, 585, 2367, 945, 1705, 711, 4309, 713, 5818, 18667, 811, 454, 20981, 267, 1822, 16402, 7616, 585, 1382, 883, 519, 943, 2084, 856, 540, 6646, 585, 682, 26854, 8598, 2550, 1789, 5147, 476, 1708, 271, 454, 4415, 513, 476, 20981, 267, 1822, 20789, 7616, 689, 2098, 517, 300, 342, 267, 3173, 689, 519, 12794, 14670, 1108, 543, 14997, 2329, 13623, 666, 1020, 513, 6646, 943, 2084, 856, 4640, 585, 2550, 609, 5312, 24869, 1355, 682, 26854, 8598, 269, 901, 4640, 786, 581, 7318, 538, 2259, 18667, 811, 454, 18893, 30093, 960, 1575, 538, 2212, 543, 8405, 2860, 630, 295, 10998, 264, 2537, 5147, 476, 1708, 271, 454, 1103, 519, 4760, 9435, 681, 296, 9391, 11001, 7009, 4471, 651, 5576, 583, 974, 4330, 519, 4093, 1310, 519, 6388, 540, 513, 3728, 13652, 1188, 23499, 7471, 670, 10998, 1416, 1982, 281, 942, 3562, 2389, 13015, 729, 3648, 4389, 543, 6668, 543, 3461, 9547, 2799, 3648, 1510, 2810, 3790, 18667, 811, 454, 1805, 1778, 1714, 770, 2762, 25221, 5761, 2860, 22037, 1162, 280, 4873, 476, 1708, 271, 454, 763, 1101, 24352, 10938, 1353, 676, 3173, 10162, 601, 7638, 21539, 1597, 543, 661, 20891, 8709, 3541, 1261, 6359, 6577, 267, 538, 799, 519, 3773, 16762, 1871, 540, 1714, 770, 2762, 676, 1797, 540, 1439, 984, 1258, 577, 658, 16953, 540, 18657, 770, 1400, 9726, 9136, 538, 2550, 609, 5761, 2860, 729, 18928, 11567, 18667, 811, 0, 1015, 7736, 816, 266, 295, 9476, 518, 1107, 29673, 18361, 476, 3422, 271, 338, 269, 901, 1646, 267, 538, 519, 2136, 8003, 267, 729, 9141, 676, 519, 11162, 5794, 2920, 540, 476, 4198, 277, 799, 3927, 605, 30533, 539, 519, 946, 540, 5755, 538, 4872, 269, 634, 26437, 15245, 3177, 519, 3593, 609, 513, 1297, 540, 2640, 267, 328, 4318, 269, 26925, 602, 941, 4130, 267, 14949, 543, 454, 2691, 9252, 568, 2706, 515, 730, 267, 1533, 476, 274, 7575, 547, 519, 1318, 630, 663, 909, 264, 538, 519, 1657, 4137, 543, 12958, 3819, 9252, 1310, 7269, 269, 26365, 21252, 540, 24419, 710, 18888, 634, 960, 5340, 676, 519, 17081, 267, 799, 568, 8519, 676, 519, 6802, 5258, 676, 519, 3002, 1648, 4607, 676, 519, 15245, 568, 1634, 607, 519, 24419, 710, 4783, 8143, 4398, 563, 29580, 3848, 476, 1691, 29571, 30867, 6679, 693, 519, 1283, 540, 519, 15245, 602, 568, 1031, 547, 4894, 1166, 826, 3154, 267, 533, 269, 476, 29574, 269, 29673, 14941, 9789, 1283, 14941, 540, 513, 15245, 1141, 782, 540, 519, 6383, 9252, 568, 6394, 1354, 10024, 519, 3892, 1062, 267, 533, 269, 476, 27840, 2529, 974, 600, 15972, 12544, 3926, 1031, 547, 4894, 7873, 839, 622, 610, 5277, 689, 9252, 1949, 267, 533, 269, 476, 29848, 269, 0, 1103, 519, 476, 4572, 271, 338, 267, 8225, 2486, 729, 3989, 676, 519, 7508, 563, 301, 22022, 476, 8618, 267, 1822, 23671, 5747, 538, 519, 3689, 2622, 2782, 543, 2673, 547, 476, 2004, 267, 1822, 5747, 538, 519, 5053, 2770, 6855, 267, 855, 1152, 835, 2680, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3017, 568, 1932, 1804, 1477, 1038, 14192, 3918, 290, 3582, 318, 8025, 305, 2464, 295, 5357, 291, 815, 476, 1015, 269, 271, 1477, 1038, 952, 4287, 5091, 858, 3436, 14192, 3918, 290, 3582, 318, 8025, 305, 2464, 295, 5357, 291, 6769, 1363, 453, 516, 1189, 2608, 284, 476, 271, 269, 276, 1477, 1038, 3116, 6769, 1363, 453, 516, 1189, 6834, 476, 271, 269, 276, 1477, 24541, 825, 1948, 5590, 519, 3432, 12939, 1759, 707, 2962, 2230, 21506, 825, 952, 711, 8007, 2652, 476, 272, 324, 268, 274, 6769, 672, 453, 9915, 292, 3633, 318, 8025, 305, 2464, 295, 5357, 291, 815, 476, 272, 269, 276, 1477, 672, 14851, 711, 782, 16062, 515, 1564, 318, 517, 4671, 571, 1188, 6769, 672, 453, 453, 258, 6755, 531, 1125, 952, 519, 1286, 4422, 1055, 3950, 1477, 672, 453, 453, 516, 1189, 815, 476, 272, 324, 268, 274, 1477, 672, 453, 19197, 3432, 2999, 9501, 292, 3633, 318, 8025, 305, 2464, 295, 5357, 291, 6769, 672, 453, 453, 258, 6755, 531, 1125, 952, 519, 1286, 4422, 1932, 3500, 1477, 672, 453, 453, 516, 1189, 2608, 284, 476, 271, 269, 276, 1477, 672, 28432, 6769, 672, 453, 453, 258, 4400, 8007, 952, 519, 1286, 13978, 593, 3950, 543, 4422, 3728, 1477, 672, 453, 453, 516, 1189, 6834, 476, 271, 269, 276, 1477, 24541, 24541, 825, 1948, 6008, 1359, 4050, 1275, 12939, 267, 1689, 519, 1297, 1759, 593, 707, 2962, 2230, 4259, 1477, 825, 952, 711, 8007, 2652, 476, 272, 324, 268, 274, 6769, 672, 453, 5723, 306, 318, 4306, 292, 21068, 318, 8025, 305, 2464, 295, 5357, 291, 815, 476, 1428, 1477, 24541, 672, 453, 258, 6755, 531, 1125, 8007, 952, 519, 8665, 568, 23376, 1932, 1454, 1477, 672, 14851, 23376, 3436, 589, 7034, 318, 4306, 292, 21068, 318, 8025, 305, 2464, 295, 5357, 291, 6769, 672, 453, 453, 516, 1189, 2608, 284, 476, 271, 269, 279, 1477, 672, 28432, 6769, 672, 453, 453, 258, 4400, 8007, 952, 519, 1286, 13978, 21645, 798, 1990, 580, 1990, 698, 1477, 672, 453, 453, 516, 1189, 6834, 476, 271, 269, 276, 1477, 4848, 1477, 453, 1477, 453, 1477, 825, 2132, 10581, 263, 516, 1189, 264, 0, 5814, 21723, 6503, 607, 23686, 692, 18411, 6358, 3436, 2597, 3436, 6456, 4494, 476, 272, 630, 716, 10474, 1599, 264, 3436, 12035, 3436, 6456, 561, 476, 273, 476, 10778, 263, 716, 10474, 1599, 264, 3436, 12035, 3436, 3977, 4494, 692, 4818, 732, 3977, 547, 5497, 3977, 3436, 1942, 610, 2530, 1599, 630, 29589, 23811, 994, 9953, 574, 1436, 1599, 630, 9953, 574, 6500, 264, 3436, 7413, 1942, 630, 3849, 600, 18893, 574, 6500, 2807, 306, 31270, 267, 1520, 320, 294, 2784, 2020, 3724, 335, 1886, 698, 566, 692, 12890, 4464, 1341, 1394, 335, 1886, 815, 22184, 454, 18257, 692, 5228, 21723, 6503, 20216, 3263, 6745, 583, 3645, 338, 6230, 333, 626, 1104, 3403, 12774, 692, 19282, 626, 815, 3403, 12774, 18667, 12774, 5334, 1115, 2891, 270, 339, 5404, 7933, 1092, 270, 2580, 835, 318, 14653, 18989, 2020, 258, 476, 1015, 5049, 267, 476, 271, 268, 280, 454, 18411, 271, 815, 1496, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 272, 815, 1496, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 273, 815, 1496, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 18257, 692, 333, 5332, 3941, 20189, 331, 272, 815, 476, 4335, 454, 333, 5332, 3941, 20189, 331, 273, 815, 476, 4335, 454, 333, 5332, 3941, 20189, 331, 274, 815, 476, 4335, 692, 333, 318, 5035, 525, 815, 476, 1015, 454, 321, 2255, 15481, 815, 476, 1911, 692, 258, 4463, 1535, 8700, 567, 476, 2764, 265, 2764, 284, 4281, 275, 454, 343, 815, 23686, 269, 2897, 14516, 3488, 15615, 3299, 314, 14085, 267, 476, 4281, 275, 7481, 344, 815, 23686, 269, 2897, 14516, 3488, 15615, 17210, 3698, 8849, 5332, 564, 1740, 31200, 16597, 17107, 453, 258, 630, 6358, 12774, 2608, 12035, 264, 1341, 12886, 692, 453, 327, 5200, 318, 272, 9078, 9707, 815, 27835, 30135, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 4281, 275, 267, 562, 5332, 3941, 20189, 331, 272, 8079, 13211, 453, 4449, 476, 1412, 6798, 1162, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 5332, 3941, 20189, 331, 272, 316, 4297, 8679, 8931, 453, 327, 5200, 318, 273, 9078, 9707, 815, 27835, 30135, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 5332, 3941, 20189, 331, 272, 267, 562, 5332, 3941, 20189, 331, 273, 8079, 13211, 453, 4449, 476, 1412, 6798, 1162, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 5332, 3941, 20189, 331, 273, 316, 4297, 10926, 453, 327, 5200, 318, 274, 9078, 9707, 815, 27835, 30135, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 5332, 3941, 20189, 331, 273, 267, 562, 5332, 3941, 20189, 331, 274, 8079, 13211, 453, 4449, 476, 1412, 6798, 1162, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 5332, 3941, 20189, 331, 274, 316, 4297, 10926, 453, 16059, 9078, 9707, 815, 27835, 30135, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 5332, 3941, 20189, 331, 273, 267, 562, 318, 5035, 525, 8079, 13211, 453, 3546, 1412, 6798, 1162, 9166, 339, 325, 17679, 926, 762, 6025, 325, 20179, 5332, 5436, 8443, 333, 318, 5035, 525, 316, 4297, 10926, 453, 331, 272, 815, 23686, 14491, 6025, 325, 269, 3901, 332, 592, 16597, 267, 6456, 318, 272, 9078, 9707, 9131, 30135, 262, 8079, 2073, 6456, 318, 272, 9078, 9707, 9131, 6798, 1162, 262, 7481, 453, 331, 272, 815, 23686, 8542, 333, 18622, 1663, 10857, 272, 2020, 453, 331, 273, 815, 23686, 14491, 6025, 325, 269, 3901, 332, 592, 10857, 272, 267, 6456, 318, 273, 9078, 9707, 9131, 30135, 262, 8079, 2073, 6456, 318, 273, 9078, 9707, 9131, 6798, 1162, 262, 7481, 453, 331, 273, 815, 23686, 8542, 333, 18622, 1663, 10857, 273, 2020, 453, 331, 274, 815, 23686, 14491, 6025, 325, 269, 3901, 332, 592, 10857, 273, 267, 6456, 318, 274, 9078, 9707, 9131, 30135, 262, 8079, 2073, 6456, 318, 274, 9078, 9707, 9131, 6798, 1162, 262, 7481, 453, 331, 274, 815, 23686, 8542, 333, 18622, 1663, 10857, 274, 2020, 453, 16059, 815, 23686, 269, 3901, 332, 592, 10857, 274, 267, 16059, 9078, 9707, 9131, 30135, 262, 8079, 1341, 3977, 9078, 9707, 9131, 6798, 1162, 262, 6540, 16596, 3977, 692, 3698, 5721, 318, 928, 1116, 5332, 564, 1740, 3287, 2187, 453, 335, 1042, 2109, 815, 8849, 5332, 564, 1740, 31200, 3287, 994, 453, 322, 739, 815, 23686, 18622, 706, 576, 23544, 6025, 325, 8542, 333, 269, 7809, 10946, 6831, 1484, 318, 550, 16552, 318, 5976, 318, 8421, 1080, 263, 8421, 1080, 284, 335, 1042, 2109, 267, 18350, 1564, 284, 344, 4917, 453, 258, 322, 739, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 8542, 333, 269, 7809, 10946, 6831, 1484, 318, 550, 16552, 318, 5976, 318, 8421, 1080, 9638, 1042, 2109, 11971, 264, 12467, 825, 1948, 23351, 1565, 2557, 815, 476, 271, 269, 9826, 454, 453, 9953, 574, 6500, 815, 23686, 6745, 1778, 269, 3849, 600, 18893, 574, 6500, 14061, 2381, 4476, 6262, 739, 994, 8931, 825, 1948, 31260, 3049, 4464, 1341, 1394, 335, 1886, 454, 453, 327, 332, 318, 788, 5255, 338, 815, 476, 1015, 692, 453, 935, 14808, 815, 23686, 269, 3519, 14808, 3682, 1729, 263, 9994, 318, 7809, 318, 10293, 18989, 994, 453, 326, 30298, 318, 9953, 687, 815, 23686, 14371, 303, 308, 302, 6877, 263, 704, 318, 15263, 14682, 30298, 8548, 25514, 6958, 3555, 284, 271, 269, 18357, 994, 453, 258, 338, 612, 815, 23686, 2529, 11970, 263, 935, 14808, 284, 339, 325, 269, 3519, 14808, 3682, 1729, 14116, 30298, 318, 9953, 687, 284, 326, 30298, 318, 9953, 687, 4917, 453, 5976, 23686, 2529, 11970, 263, 935, 14808, 284, 339, 325, 269, 3519, 14808, 3682, 1729, 14116, 30298, 318, 9953, 687, 284, 326, 30298, 318, 9953, 687, 4297, 607, 5089, 912, 453, 453, 338, 612, 269, 14725, 6025, 325, 3052, 331, 2128, 318, 19702, 1963, 318, 30976, 6500, 31156, 453, 22610, 22184, 538, 2039, 22607, 332, 318, 788, 5255, 338, 2187, 4848, 825, 22184, 9078, 1601, 815, 476, 271, 454, 4848, 825, 585, 9041, 538, 2039, 17301, 9852, 333, 626, 6745, 1778, 8542, 636, 318, 1410, 3263, 11486, 2255, 15481, 15892, 4848, 672, 453, 788, 5255, 13448, 267, 22184, 14729, 815, 544, 333, 626, 6745, 1778, 12785, 10734, 2255, 6357, 2255, 15481, 994, 4848, 672, 453, 318, 267, 524, 815, 5089, 269, 14725, 8443, 9953, 574, 6500, 267, 1942, 3910, 3049, 18380, 28121, 343, 281, 22184, 13448, 11971, 281, 22184, 14729, 348, 994, 4848, 672, 453, 788, 5255, 9078, 1601, 6834, 524, 454, 4848, 825, 1820, 3488, 22977, 5255, 3299, 22184, 267, 1412, 1260, 921, 1540, 856, 540, 3299, 554, 332, 318, 788, 5255, 338, 10086, 29754, 281, 3299, 788, 5255, 9078, 1601, 2020, 453, 453, 322, 8091, 815, 23686, 269, 16029, 6025, 325, 27769, 10946, 9638, 1042, 2109, 267, 272, 1070, 23686, 27769, 10946, 12169, 267, 272, 11723, 453, 453, 3147, 5596, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 269, 4751, 6262, 8091, 10086, 15615, 29125, 453, 13537, 3488, 16914, 5596, 281, 3299, 6111, 4318, 1998, 20719, 343, 281, 19282, 626, 6745, 652, 269, 30502, 267, 586, 281, 19282, 626, 6745, 652, 7456, 629, 1564, 348, 11723, 30221, 318, 928, 1116, 5332, 564, 1740, 3287, 994, 0, 258, 3832, 9535, 3593, 3403, 1477, 7407, 815, 1412, 32401, 262, 1477, 6112, 1871, 11203, 1412, 25152, 262, 6769, 825, 535, 4067, 284, 3403, 3488, 11767, 519, 3758, 2012, 281, 1412, 3418, 825, 2119, 6769, 1038, 535, 8518, 284, 13449, 6600, 4067, 3418, 1038, 1871, 8782, 25152, 262, 1477, 825, 4849, 6769, 1038, 1820, 2891, 17572, 3112, 581, 8118, 267, 5225, 2638, 1586, 14744, 1038, 3136, 5897, 258, 16163, 532, 543, 25935, 519, 4757, 2232, 540, 519, 30699, 1477, 4186, 284, 271, 1477, 1721, 1899, 538, 535, 8518, 6769, 825, 952, 1899, 269, 11034, 1873, 603, 2891, 5804, 834, 8029, 1038, 733, 23785, 272, 1477, 1038, 30699, 284, 1467, 21858, 14052, 1038, 1820, 4433, 2658, 314, 272, 29573, 2745, 2891, 2467, 941, 2580, 733, 267, 834, 6050, 538, 519, 3758, 609, 3245, 607, 519, 1101, 2262, 14744, 0, 5814, 942, 476, 1948, 1104, 942, 547, 3207, 930, 2053, 1477, 5814, 4351, 476, 1948, 1104, 4351, 547, 2824, 4351, 3615, 5897, 258, 4762, 2682, 5903, 2986, 27014, 1477, 5522, 2167, 815, 18358, 5327, 1068, 3299, 1412, 307, 684, 6773, 3299, 1412, 290, 1511, 11172, 1477, 307, 8962, 815, 18358, 30893, 1057, 3299, 1412, 1805, 545, 298, 8752, 3299, 1412, 306, 3873, 1111, 3299, 1412, 14641, 329, 11172, 1477, 5327, 1068, 318, 3000, 9094, 815, 18358, 4942, 14535, 1460, 3299, 1412, 291, 16400, 3299, 1412, 291, 514, 13239, 3299, 1412, 294, 6493, 11172, 1477, 290, 1511, 318, 3000, 9094, 815, 18358, 300, 823, 3299, 1412, 27409, 1389, 3299, 1412, 342, 6504, 525, 3299, 1412, 323, 9233, 11172, 1477, 307, 684, 6773, 318, 3000, 9094, 815, 18358, 306, 3671, 619, 3299, 1412, 9928, 23705, 542, 3299, 1412, 310, 768, 3299, 1412, 290, 641, 571, 11172, 1477, 29228, 318, 3725, 553, 738, 815, 18358, 531, 633, 3299, 1412, 291, 1221, 11172, 1477, 2419, 18857, 815, 15234, 24653, 258, 7736, 4762, 580, 4851, 1477, 258, 16294, 9577, 1677, 7179, 7136, 1137, 1477, 3698, 7179, 28036, 263, 916, 326, 267, 7643, 8029, 825, 1820, 263, 916, 326, 1341, 1412, 315, 333, 20298, 825, 942, 4732, 2748, 263, 572, 6948, 3418, 5897, 3698, 1376, 14682, 877, 28399, 825, 7179, 28036, 3488, 8702, 547, 519, 1655, 3014, 585, 1443, 523, 999, 543, 9913, 3299, 476, 274, 3418, 825, 7179, 28036, 3488, 339, 1389, 596, 547, 1776, 1158, 540, 5708, 543, 993, 698, 1588, 3299, 476, 274, 3418, 825, 7179, 28036, 3488, 2171, 786, 948, 596, 1282, 519, 3014, 5079, 267, 855, 596, 1590, 946, 707, 2247, 1354, 1022, 5542, 547, 3094, 22207, 476, 273, 3418, 825, 2012, 815, 3403, 3488, 8923, 9373, 2659, 8745, 1677, 3399, 10794, 1422, 333, 20298, 825, 942, 4732, 2748, 263, 273, 3418, 5897, 3698, 1404, 28399, 825, 1820, 3488, 921, 848, 3442, 1022, 4025, 602, 596, 1616, 547, 1404, 1422, 333, 20298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1510, 11186, 3029, 1701, 901, 1433, 267, 676, 519, 1259, 267, 786, 4001, 596, 519, 11186, 9511, 596, 991, 547, 1205, 3323, 267, 14322, 1175, 930, 11810, 269, 1290, 7757, 4455, 476, 274, 267, 476, 1001, 275, 693, 476, 1015, 281, 4343, 692, 8256, 18790, 1018, 15535, 3400, 10903, 517, 5206, 267, 594, 3513, 2328, 856, 519, 8174, 566, 543, 1294, 952, 594, 666, 1118, 2631, 540, 621, 780, 2330, 306, 815, 1422, 842, 3709, 339, 318, 272, 8703, 339, 318, 273, 348, 700, 32429, 267, 1422, 25346, 7117, 267, 512, 9385, 267, 1422, 9507, 18097, 348, 339, 9681, 3602, 590, 568, 519, 2962, 543, 700, 519, 20698, 337, 836, 1014, 269, 1284, 4268, 519, 2619, 543, 1265, 519, 17119, 636, 540, 519, 2962, 1384, 11377, 23169, 590, 815, 1422, 842, 3709, 339, 318, 272, 8703, 339, 318, 273, 348, 1422, 3847, 263, 3189, 14783, 700, 1422, 1478, 1422, 14783, 7117, 4153, 23169, 7117, 1341, 11513, 14783, 700, 1422, 1478, 1422, 14783, 1422, 25346, 7117, 4153, 23169, 1422, 25346, 7117, 9368, 264, 1422, 12101, 9507, 18097, 348, 339, 815, 476, 271, 315, 11783, 9681, 2080, 267, 7117, 543, 4399, 25346, 7117, 259, 616, 9867, 10446, 269, 1809, 1287, 538, 519, 1985, 1900, 649, 946, 713, 3961, 10484, 11377, 23169, 1422, 25346, 7117, 815, 11513, 9507, 18097, 348, 1422, 1478, 1422, 9507, 18097, 348, 339, 348, 1422, 23169, 7117, 269, 9681, 4517, 1934, 568, 1141, 519, 2078, 1063, 7117, 543, 4399, 25346, 7117, 259, 13788, 519, 4605, 269, 594, 1589, 602, 1018, 568, 8345, 1934, 568, 602, 7117, 543, 4399, 25346, 7117, 259, 616, 5701, 607, 4830, 7620, 267, 855, 1287, 519, 7115, 568, 6569, 676, 519, 3961, 780, 11377, 23169, 590, 815, 1422, 842, 3709, 339, 318, 272, 8703, 339, 318, 273, 348, 1422, 3847, 263, 3189, 14783, 700, 1422, 1478, 1422, 14783, 7117, 4153, 23169, 7117, 1341, 11513, 14783, 700, 1422, 1478, 1422, 14783, 1422, 25346, 7117, 2410, 323, 1422, 1478, 1422, 9507, 18097, 348, 339, 348, 1422, 23169, 7117, 9368, 264, 1422, 12101, 9507, 18097, 348, 339, 815, 476, 271, 9681, 4517, 1287, 5205, 519, 1964, 540, 519, 8174, 566, 269, 1284, 11753, 519, 2034, 2165, 676, 2694, 1384, 11377, 23169, 590, 815, 1422, 3847, 314, 11513, 14783, 700, 1422, 1478, 1422, 14783, 1422, 25346, 7117, 4153, 23169, 7117, 9368, 316, 3709, 339, 318, 272, 8703, 339, 318, 273, 348, 1341, 1422, 842, 3709, 339, 318, 272, 8703, 339, 318, 273, 348, 1422, 3847, 263, 3189, 14783, 700, 1422, 1478, 1422, 14783, 7117, 348, 910, 2715, 323, 1422, 1478, 24303, 7346, 14783, 700, 1422, 1478, 1422, 14783, 1422, 25346, 7117, 4153, 2431, 9385, 23169, 7117, 20867, 1422, 9507, 18097, 348, 339, 815, 476, 271, 20867, 267, 9681, 663, 519, 15741, 9643, 4082, 568, 4642, 1317, 519, 1439, 9557, 616, 4371, 6378, 269, 1656, 1287, 649, 666, 7485, 856, 519, 25586, 6441, 698, 9792, 3830, 1384, 2330, 3189, 14783, 700, 1422, 1478, 1422, 14783, 7117, 348, 910, 11513, 9507, 18097, 348, 1422, 1478, 1422, 9507, 18097, 348, 339, 7346, 14783, 700, 1422, 1478, 1422, 14783, 1422, 25346, 7117, 348, 815, 476, 271, 315, 11783, 9681, 3086, 621, 2306, 811, 2631, 547, 803, 269, 1411, 1376, 676, 8156, 519, 4632, 607, 4830, 855, 1287, 4894, 519, 7115, 676, 25412, 513, 2783, 1282, 519, 8174, 566, 780, 296, 1589, 602, 2306, 2631, 269, 594, 2503, 538, 2489, 824, 2042, 666, 581, 5701, 519, 1482, 1259, 780, 263, 296, 23652, 519, 1657, 4834, 689, 23317, 676, 8092, 879, 543, 17151, 3333, 6308, 24355, 1892, 4270, 267, 3079, 540, 6031, 834, 259, 336, 259, 543, 4399, 25346, 7117, 259, 616, 9867, 10446, 2580, 596, 1223, 849, 2161, 834, 259, 336, 259, 543, 4399, 25346, 7117, 259, 616, 9867, 630, 704, 4257, 10446, 267, 5310, 711, 17983, 543, 2663, 4063, 602, 519, 8390, 4399, 23169, 315, 25346, 7117, 259, 568, 2016, 676, 4399, 23169, 315, 25346, 7117, 815, 1422, 2765, 546, 18097, 339, 348, 1422, 23169, 7117, 10608, 1290, 7757, 8734, 476, 1704, 267, 476, 1001, 271, 693, 476, 280, 281, 1789, 454, 1892, 634, 10035, 585, 519, 7440, 1269, 299, 259, 568, 10169, 14845, 267, 538, 799, 2013, 621, 568, 4051, 633, 547, 2015, 519, 1739, 1383, 281, 1491, 1269, 293, 3287, 267, 273, 343, 3917, 7751, 543, 4268, 1269, 293, 3287, 10954, 23169, 1535, 267, 273, 3287, 10954, 23169, 1535, 9984, 344, 264, 815, 1422, 2765, 3189, 14783, 674, 7346, 14783, 1535, 4153, 23169, 1535, 1341, 1422, 2765, 3189, 14783, 674, 7346, 14783, 630, 273, 343, 3917, 14587, 273, 315, 23169, 1535, 10608, 1411, 1522, 2161, 602, 519, 7440, 540, 1269, 293, 259, 616, 9867, 10446, 267, 855, 602, 4992, 20868, 269, 1403, 4376, 267, 621, 781, 1175, 602, 519, 10035, 585, 519, 9864, 16755, 540, 1269, 293, 259, 568, 3983, 282, 621, 568, 1454, 1732, 547, 2328, 1269, 293, 26086, 267, 341, 7751, 543, 18159, 340, 267, 341, 6661, 263, 343, 267, 273, 343, 3917, 7751, 547, 3489, 4399, 23169, 674, 815, 1422, 2765, 3189, 14783, 674, 7346, 14783, 579, 4153, 23169, 579, 1341, 1422, 2765, 3189, 14783, 674, 7346, 14783, 642, 4153, 23169, 642, 259, 1290, 7757, 8734, 476, 1704, 267, 476, 1001, 271, 693, 476, 280, 281, 3451, 454, 1892, 3267, 543, 547, 2769, 519, 7648, 4399, 23169, 579, 259, 543, 4399, 23169, 642, 259, 538, 2474, 540, 4399, 23169, 1535, 259, 19952, 269, 1290, 7757, 8734, 476, 1704, 267, 476, 1001, 271, 693, 476, 280, 281, 4097, 454, 1892, 8786, 267, 519, 10035, 568, 14845, 269, 2334, 781, 1776, 1966, 269, 1290, 7757, 8734, 476, 1704, 267, 476, 1001, 271, 693, 476, 1704, 281, 6349, 454, 1892, 834, 8253, 513, 2262, 540, 8092, 879, 267, 711, 513, 2219, 540, 17151, 3333, 6308, 4799, 1700, 1109, 342, 2675, 454, 4467, 7757, 3967, 476, 1691, 267, 476, 1001, 272, 693, 476, 1428, 281, 6872, 692, 2080, 568, 1250, 2626, 267, 799, 568, 10416, 606, 9450, 4528, 540, 15535, 3400, 10903, 517, 781, 2626, 780, 763, 2243, 540, 1946, 835, 666, 1521, 2990, 543, 6991, 607, 4830, 4632, 14340, 538, 519, 4214, 540, 519, 20698, 337, 836, 1014, 3230, 299, 2330, 3294, 267, 1354, 835, 3096, 3830, 540, 5163, 267, 543, 1354, 835, 14659, 827, 8795, 519, 2962, 3230, 306, 281, 7807, 842, 3709, 339, 10983, 8703, 339, 6958, 4153, 9507, 18097, 348, 339, 1422, 700, 18079, 543, 814, 4061, 4986, 547, 798, 609, 11810, 540, 8390, 780, 296, 264, 2201, 835, 1688, 267, 1577, 721, 1101, 2015, 519, 1909, 540, 519, 20698, 337, 836, 1014, 269, 2913, 972, 581, 2016, 606, 17062, 855, 6378, 8216, 540, 942, 3230, 339, 318, 271, 22174, 1496, 339, 10983, 25722, 6958, 316, 21974, 634, 630, 13318, 656, 10389, 264, 20698, 337, 836, 1014, 3230, 299, 32429, 6025, 318, 271, 1070, 341, 6025, 318, 271, 1070, 339, 318, 271, 14638, 568, 513, 1599, 540, 1312, 519, 31302, 2990, 3230, 336, 6025, 318, 271, 14638, 543, 519, 31302, 6991, 3230, 341, 6025, 318, 271, 14638, 693, 519, 8216, 3230, 339, 318, 271, 21974, 3371, 3230, 336, 6025, 318, 271, 14638, 543, 3230, 341, 6025, 318, 271, 14638, 616, 4830, 4632, 269, 8074, 602, 519, 630, 13318, 656, 10389, 264, 20698, 337, 836, 1014, 3230, 299, 32429, 6025, 318, 271, 1070, 341, 6025, 318, 271, 1070, 339, 318, 271, 14638, 1281, 711, 4096, 593, 519, 2250, 3230, 339, 6862, 519, 2104, 3230, 339, 285, 339, 318, 271, 21974, 630, 3080, 949, 1843, 602, 519, 6991, 9043, 6695, 25346, 346, 336, 4153, 25406, 21702, 3189, 9507, 18097, 348, 336, 7346, 9507, 18097, 348, 339, 348, 281, 314, 339, 10983, 25722, 6958, 316, 315, 1729, 315, 13992, 23334, 6525, 568, 519, 12045, 540, 519, 2990, 9043, 3230, 336, 281, 314, 339, 10983, 25722, 6958, 316, 315, 1729, 315, 13992, 23334, 6525, 267, 865, 875, 666, 3230, 336, 6025, 318, 271, 14638, 543, 3230, 341, 6025, 318, 271, 14638, 581, 5963, 4830, 4632, 286, 634, 1448, 568, 602, 2094, 519, 3830, 540, 5163, 568, 540, 476, 273, 526, 1931, 267, 835, 568, 1869, 13886, 547, 1118, 476, 273, 4830, 5079, 540, 3355, 2175, 281, 476, 272, 3355, 2990, 543, 476, 272, 3355, 6991, 4700, 1284, 666, 10956, 713, 4661, 585, 1022, 824, 8216, 3230, 339, 318, 271, 22174, 314, 339, 10983, 25722, 6958, 316, 315, 11783, 9681, 2862, 264, 2201, 519, 824, 1688, 267, 1577, 721, 2015, 11810, 540, 8390, 269, 634, 2962, 6198, 3230, 306, 314, 336, 316, 9625, 281, 284, 349, 1422, 842, 3709, 339, 10983, 8703, 339, 6958, 4153, 9507, 18097, 348, 339, 1422, 700, 32429, 6025, 1070, 315, 25346, 346, 336, 12917, 339, 1070, 339, 9385, 32002, 346, 272, 6525, 5673, 593, 519, 2898, 630, 704, 4257, 5691, 264, 2619, 3230, 336, 281, 314, 339, 10983, 25722, 6958, 316, 315, 1729, 315, 13992, 23334, 6525, 269, 3371, 519, 942, 12045, 6695, 25346, 346, 336, 4153, 25406, 21702, 3189, 9507, 18097, 348, 336, 7346, 9507, 18097, 348, 339, 6525, 1281, 4096, 593, 519, 1599, 3230, 336, 281, 314, 339, 10983, 25722, 6958, 316, 315, 1729, 1422, 13992, 23334, 4153, 11783, 2330, 6987, 8145, 1944, 519, 2962, 6198, 692, 17961, 9387, 348, 271, 349, 284, 349, 261, 315, 23169, 590, 1422, 13062, 9625, 284, 349, 261, 1422, 842, 3709, 339, 10983, 8703, 339, 6958, 4153, 9507, 18097, 348, 339, 13375, 24560, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 7117, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 14587, 1422, 23169, 7117, 6025, 264, 1422, 2431, 26142, 13062, 1299, 10954, 3847, 26142, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 642, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 264, 4153, 23169, 1422, 25346, 346, 336, 12917, 339, 9385, 2431, 316, 315, 13062, 9625, 284, 349, 261, 1422, 842, 3709, 339, 10983, 8703, 339, 6958, 4153, 9507, 18097, 348, 339, 13375, 24560, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 7117, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 14587, 1422, 23169, 7117, 6025, 264, 1422, 2431, 26142, 13062, 1299, 10954, 3847, 26142, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 642, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 264, 4153, 2765, 3189, 9507, 546, 7346, 9507, 18097, 348, 339, 4153, 23169, 7117, 6025, 9385, 2431, 316, 315, 13062, 9625, 284, 349, 261, 1422, 842, 3709, 339, 10983, 8703, 339, 6958, 4153, 9507, 18097, 348, 339, 13375, 24560, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 7117, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 14587, 1422, 2431, 26142, 13062, 1299, 10559, 3847, 269, 1422, 2765, 3189, 9507, 546, 7346, 9507, 18097, 348, 339, 4153, 3847, 7268, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 642, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 14587, 1422, 2431, 9385, 2431, 316, 315, 23169, 7117, 6025, 9385, 13062, 1299, 266, 1422, 842, 3709, 339, 10983, 8703, 339, 6958, 4153, 9507, 18097, 348, 339, 21702, 3189, 9507, 18097, 24828, 9507, 18097, 348, 339, 4153, 3847, 24560, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 642, 6025, 264, 4153, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 264, 4153, 23169, 7117, 6025, 9385, 2431, 316, 1422, 754, 9387, 4153, 32002, 346, 273, 10926, 5976, 3617, 10465, 2175, 5012, 547, 25586, 6441, 698, 9792, 630, 5085, 264, 3830, 267, 799, 568, 519, 3830, 540, 5163, 630, 292, 6865, 6393, 17961, 9387, 348, 1422, 2765, 3189, 9507, 546, 7346, 9507, 18097, 348, 339, 31905, 315, 3847, 7268, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 642, 6025, 14587, 1422, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 14587, 1422, 2431, 9385, 13062, 1299, 349, 284, 349, 1422, 3847, 26142, 2765, 3189, 14783, 700, 32429, 6025, 1070, 341, 6025, 1070, 339, 264, 7346, 14783, 7117, 6025, 14587, 1422, 2431, 347, 3709, 341, 6025, 21174, 25346, 346, 336, 12917, 339, 14587, 9625, 26142, 32002, 346, 274, 4153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]