Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 1899, 15892, 13376, 10203, 318, 28128, 815, 9041, 12248, 6262, 870, 532, 318, 28128, 267, 967, 328, 994, 13376, 2736, 454, 7386, 1899, 815, 535, 327, 18667, 1467, 4590, 825, 2132, 10203, 318, 28128, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 476, 1948, 22964, 2742, 281, 1100, 3382, 454, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 10472, 1599, 16493, 513, 1592, 547, 31901, 719, 1141, 1412, 3097, 14030, 4449, 1412, 332, 20047, 540, 519, 1592, 616, 971, 602, 789, 15666, 1412, 454, 14030, 4449, 1412, 1729, 930, 23061, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 325, 3299, 1412, 734, 12803, 3299, 2838, 18989, 267, 948, 6889, 3022, 1260, 3758, 5602, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 321, 3299, 1412, 734, 19689, 3299, 562, 16911, 8782, 286, 3299, 1526, 8782, 19689, 318, 21671, 22779, 13376, 9949, 22561, 267, 948, 8782, 320, 547, 24327, 547, 1820, 513, 1592, 540, 1004, 609, 4332, 7389, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 323, 3299, 1412, 734, 1372, 987, 3299, 562, 16911, 8782, 286, 3299, 1526, 8782, 1372, 987, 318, 21671, 3299, 9949, 22561, 2676, 13376, 948, 8782, 25075, 728, 513, 1016, 4486, 630, 324, 3052, 269, 16692, 2969, 267, 12813, 3722, 264, 1993, 519, 2669, 2680, 602, 596, 7055, 4449, 17264, 1412, 342, 656, 547, 1293, 23463, 610, 946, 834, 257, 547, 1293, 7972, 1152, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 331, 3299, 1412, 734, 4289, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 948, 8782, 4289, 519, 1367, 10569, 630, 2224, 995, 585, 3181, 19982, 264, 17210, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 952, 26571, 269, 4289, 912, 1038, 10203, 318, 28128, 815, 11713, 825, 3116, 912, 1038, 10203, 318, 28128, 815, 476, 271, 692, 825, 952, 26571, 12500, 9500, 543, 26571, 19709, 987, 912, 1038, 6318, 28759, 3488, 10472, 25961, 270, 1440, 5793, 1599, 666, 1152, 2132, 835, 13214, 3210, 693, 513, 942, 17210, 825, 1948, 547, 4777, 3819, 713, 856, 454, 825, 952, 26571, 12500, 9500, 912, 1038, 535, 327, 815, 9041, 1326, 18316, 318, 8518, 2401, 263, 16911, 8807, 850, 994, 1038, 952, 26571, 12500, 9500, 2652, 1412, 19689, 318, 21671, 12466, 2018, 26571, 12500, 9500, 815, 7183, 454, 1038, 20735, 815, 1293, 5334, 889, 338, 6600, 327, 267, 1412, 289, 7644, 307, 3299, 1016, 318, 4486, 284, 16911, 12500, 9500, 267, 10203, 318, 28128, 284, 12248, 532, 318, 28128, 994, 1038, 952, 26571, 269, 4289, 912, 2018, 1820, 3488, 24001, 8339, 8971, 28361, 333, 8339, 21860, 263, 753, 21875, 1038, 3116, 912, 2018, 1820, 3488, 24001, 8339, 8971, 263, 753, 11723, 1038, 535, 327, 25379, 30800, 825, 952, 26571, 19709, 987, 912, 1038, 535, 327, 815, 9041, 1326, 18316, 318, 8518, 2401, 263, 16911, 8807, 850, 994, 1038, 952, 26571, 19709, 987, 2652, 1412, 1372, 987, 318, 21671, 12466, 2018, 26571, 19709, 987, 815, 7183, 476, 1948, 2556, 547, 1418, 1047, 7440, 7157, 910, 1293, 1152, 7972, 1631, 454, 1038, 20735, 815, 1293, 5334, 889, 338, 6600, 327, 267, 1412, 14701, 2969, 3299, 1016, 318, 4486, 284, 16911, 19709, 987, 267, 10203, 318, 28128, 284, 12248, 532, 318, 28128, 994, 1038, 952, 26571, 269, 4289, 912, 2018, 1820, 3488, 24001, 8339, 8971, 28361, 333, 8339, 21860, 263, 753, 21875, 1038, 3116, 912, 2018, 1820, 3488, 24001, 8339, 8971, 263, 753, 4917, 1038, 535, 327, 25379, 10797, 0, 18411, 32046, 593, 7325, 476, 278, 267, 476, 1001, 276, 692, 287, 10461, 281, 561, 323, 327, 8500, 454, 18411, 5228, 11202, 21010, 528, 1104, 11202, 21010, 528, 692, 3698, 4855, 11405, 14116, 5090, 267, 2619, 24961, 267, 632, 24961, 267, 6843, 24961, 267, 562, 8802, 542, 267, 28618, 23917, 267, 1376, 267, 3804, 2187, 825, 8173, 825, 4855, 519, 3070, 689, 8268, 28618, 454, 825, 3474, 4461, 912, 1038, 7470, 281, 519, 28618, 454, 1038, 2619, 24961, 281, 10092, 538, 1142, 3148, 454, 1038, 632, 24961, 281, 4666, 1742, 538, 1142, 3148, 454, 1038, 562, 8802, 542, 281, 519, 1297, 540, 3148, 630, 333, 8802, 542, 265, 333, 8802, 542, 994, 1038, 28618, 23917, 281, 519, 3259, 540, 2427, 540, 519, 28618, 454, 1038, 1376, 281, 11282, 540, 519, 4358, 1591, 454, 1038, 3804, 281, 11282, 540, 519, 10678, 1591, 454, 825, 17776, 912, 1038, 634, 3070, 454, 825, 8173, 825, 3070, 815, 20886, 27663, 825, 1948, 339, 271, 815, 942, 28333, 4590, 258, 672, 2619, 290, 660, 815, 11202, 21010, 528, 6124, 14116, 5090, 267, 1376, 267, 3804, 267, 2619, 24961, 267, 632, 24961, 267, 562, 8802, 542, 267, 28618, 23917, 267, 3070, 994, 825, 2619, 290, 660, 815, 11202, 21010, 528, 14116, 5090, 267, 1376, 267, 3804, 267, 28618, 23917, 267, 6843, 24961, 267, 562, 8802, 542, 267, 3070, 994, 825, 2619, 290, 660, 269, 11034, 4590, 825, 2619, 290, 660, 12459, 7765, 4590, 825, 1948, 2745, 834, 26073, 21010, 528, 6124, 8737, 4881, 538, 2715, 271, 348, 338, 2668, 8971, 263, 5503, 28333, 3890, 910, 512, 271, 994, 258, 672, 1820, 27719, 333, 11405, 689, 2715, 271, 348, 547, 2715, 272, 348, 2433, 2668, 8971, 19304, 263, 11034, 1070, 1193, 263, 2998, 531, 4297, 3097, 258, 672, 1820, 3070, 22562, 825, 2132, 3070, 0, 5814, 8426, 607, 524, 454, 5814, 1711, 2704, 326, 3596, 332, 607, 1309, 454, 5814, 4194, 2704, 326, 3596, 332, 607, 1094, 454, 5814, 19523, 454, 5814, 942, 454, 5814, 19883, 692, 5035, 631, 10270, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 284, 2004, 267, 620, 2998, 8782, 12988, 10177, 14982, 262, 2187, 1038, 1582, 25915, 815, 2450, 454, 1038, 1582, 269, 22056, 263, 531, 2998, 267, 2450, 994, 1038, 1582, 269, 11034, 815, 1496, 271, 267, 476, 271, 2639, 1038, 1582, 269, 2998, 531, 815, 1496, 21653, 268, 272, 267, 2450, 268, 272, 6540, 825, 1219, 1711, 4311, 267, 620, 2998, 267, 2450, 2187, 1038, 1582, 25915, 815, 2450, 454, 1038, 1582, 269, 2998, 531, 815, 1496, 21653, 268, 272, 267, 2450, 268, 272, 2639, 1038, 1582, 26942, 815, 20886, 322, 5861, 749, 3890, 585, 1775, 538, 2039, 4311, 25915, 13580, 585, 795, 538, 2039, 4311, 25915, 22708, 1038, 512, 271, 815, 942, 28333, 4590, 1038, 952, 620, 2998, 2652, 1412, 13434, 27641, 7982, 10177, 14982, 262, 610, 620, 2998, 2652, 476, 271, 912, 2018, 1582, 26942, 815, 1309, 18622, 15479, 633, 12988, 10177, 14982, 4311, 26942, 267, 1582, 25915, 994, 1038, 8640, 620, 2998, 2652, 1412, 12988, 10177, 14982, 262, 610, 620, 2998, 2652, 476, 272, 912, 2018, 1582, 26942, 815, 1309, 269, 3724, 10177, 14982, 4311, 26942, 267, 1582, 25915, 994, 1038, 8640, 620, 2998, 2652, 1412, 298, 6350, 32039, 262, 610, 620, 2998, 2652, 476, 273, 912, 2018, 1582, 26942, 815, 1309, 21993, 6350, 32039, 4311, 26942, 267, 1582, 25915, 994, 1038, 512, 815, 942, 28333, 3890, 910, 512, 271, 454, 258, 1363, 1820, 834, 300, 10270, 2813, 538, 15079, 338, 2668, 8971, 6025, 994, 258, 1363, 19883, 29335, 2891, 300, 10270, 2813, 538, 15079, 338, 2668, 8971, 6025, 4917, 1038, 1582, 269, 637, 564, 294, 5090, 10797, 825, 1219, 19268, 294, 5090, 4311, 2187, 1038, 1582, 269, 7224, 24786, 815, 476, 271, 454, 1038, 1582, 11075, 677, 652, 26073, 21920, 815, 1582, 25915, 265, 1345, 25915, 266, 272, 454, 1038, 1582, 19709, 815, 11713, 1038, 1582, 19709, 611, 17484, 15575, 4590, 1038, 1582, 29624, 8217, 17342, 6540, 825, 1219, 4666, 17484, 15575, 4311, 2187, 1038, 1582, 269, 7224, 318, 1372, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 10917, 815, 1582, 26942, 5157, 6012, 329, 2639, 3546, 952, 10917, 6745, 641, 1341, 10917, 16192, 1341, 10917, 12500, 18847, 1341, 10917, 16000, 2652, 476, 274, 912, 7386, 952, 630, 328, 256, 284, 271, 610, 795, 256, 284, 271, 264, 543, 630, 328, 256, 284, 1345, 25915, 268, 272, 610, 795, 256, 284, 1345, 25915, 268, 272, 2187, 13376, 1582, 269, 7224, 318, 1372, 6834, 476, 272, 454, 13376, 1582, 19709, 6910, 8443, 328, 267, 795, 316, 9239, 825, 1219, 4194, 4311, 2187, 1038, 512, 271, 815, 942, 28333, 4590, 1038, 1582, 29624, 8217, 815, 1094, 269, 4206, 338, 296, 614, 894, 4311, 26942, 267, 1582, 25915, 267, 1582, 269, 11034, 267, 1582, 269, 2998, 531, 994, 1038, 512, 815, 942, 28333, 3890, 910, 512, 271, 454, 258, 1363, 1820, 834, 306, 6295, 942, 667, 12396, 594, 614, 894, 15079, 2668, 8971, 6025, 994, 1038, 19883, 29335, 2891, 306, 6295, 942, 667, 12396, 594, 614, 894, 15079, 2668, 8971, 6025, 4917, 1038, 1582, 269, 7224, 24786, 815, 7003, 4311, 29624, 8217, 994, 1038, 585, 1775, 538, 2039, 12759, 4311, 29624, 8217, 15892, 2018, 952, 7003, 4311, 29624, 8217, 5157, 8079, 2999, 1582, 11075, 677, 652, 26073, 21920, 912, 3546, 1582, 11075, 677, 652, 26073, 21920, 815, 7003, 4311, 29624, 8217, 5157, 20285, 825, 1219, 7941, 4311, 2187, 1038, 1582, 269, 5658, 539, 815, 1094, 269, 4206, 338, 15812, 518, 4311, 26942, 267, 1582, 25915, 2020, 825, 1948, 10818, 547, 948, 609, 3181, 19982, 454, 825, 1219, 1820, 294, 5090, 4311, 2187, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 19523, 14714, 323, 719, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 9008, 4917, 3546, 19523, 14714, 323, 719, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 2431, 4917, 3546, 19523, 14714, 323, 719, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 321, 18847, 4917, 3546, 19523, 14714, 323, 719, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 3847, 4917, 3546, 19523, 14714, 323, 719, 22182, 2891, 19515, 2018, 1820, 2891, 15419, 825, 1219, 4688, 4311, 267, 32197, 2187, 1038, 952, 711, 32197, 912, 2018, 2132, 454, 1038, 535, 815, 1930, 6600, 32327, 267, 1412, 342, 5073, 1038, 535, 22182, 19304, 4311, 25915, 264, 1341, 834, 834, 1341, 1193, 4311, 269, 11034, 314, 271, 8079, 1341, 834, 834, 1341, 1193, 4311, 269, 11034, 314, 272, 8079, 1341, 834, 834, 1341, 1193, 4311, 269, 2998, 531, 314, 271, 7481, 3546, 1341, 834, 834, 1341, 1193, 4311, 269, 2998, 531, 314, 272, 8079, 1341, 27719, 333, 5602, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 535, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 9008, 4917, 3546, 535, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 2431, 4917, 3546, 535, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 321, 18847, 4917, 3546, 535, 22182, 19304, 4311, 26942, 5157, 6012, 329, 4940, 3847, 4917, 3546, 535, 22182, 2891, 19515, 2018, 535, 22182, 19629, 333, 15419, 825, 1219, 4452, 4311, 267, 32197, 2187, 1038, 535, 815, 1930, 6600, 32327, 267, 1412, 337, 5073, 1038, 9623, 815, 535, 18667, 1467, 14061, 20889, 4590, 1038, 1582, 25915, 815, 703, 263, 16769, 314, 271, 7481, 1038, 1582, 269, 11034, 815, 1496, 842, 263, 16769, 314, 272, 25818, 703, 263, 16769, 314, 273, 8079, 2639, 1038, 1582, 269, 2998, 531, 815, 1496, 842, 263, 16769, 314, 274, 25818, 703, 263, 16769, 314, 275, 8079, 2639, 1038, 1582, 26942, 815, 20886, 322, 5861, 749, 3890, 585, 1775, 538, 2039, 4311, 25915, 13580, 585, 795, 538, 2039, 4311, 25915, 22708, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 521, 815, 535, 18667, 1467, 4590, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 1582, 26942, 5157, 6012, 329, 4940, 9008, 815, 703, 4433, 14728, 265, 276, 7481, 3546, 1582, 26942, 5157, 6012, 329, 4940, 2431, 815, 703, 4433, 14728, 265, 276, 266, 272, 7481, 3546, 1582, 26942, 5157, 6012, 329, 4940, 321, 18847, 815, 703, 4433, 14728, 265, 276, 266, 273, 7481, 3546, 1582, 26942, 5157, 6012, 329, 4940, 3847, 815, 703, 4433, 14728, 265, 276, 266, 274, 7481, 1038, 1582, 269, 637, 564, 294, 5090, 4590, 0, 320, 284, 6358, 2891, 11767, 519, 5569, 281, 19515, 31184, 284, 3269, 454, 1721, 1775, 538, 2039, 263, 271, 267, 6352, 5416, 9984, 272, 2187, 825, 9206, 284, 271, 454, 825, 10917, 30381, 5157, 2639, 825, 585, 795, 538, 2039, 9217, 266, 272, 267, 6352, 5416, 9984, 272, 2187, 13872, 1038, 952, 10917, 2525, 513, 14728, 14158, 2018, 9206, 284, 272, 22562, 825, 952, 9206, 2525, 271, 912, 1038, 1820, 5416, 5157, 266, 272, 7481, 1038, 14827, 4590, 8931, 8931, 0, 1012, 4179, 2517, 11907, 6343, 852, 2593, 270, 628, 902, 3917, 537, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 2407, 6697, 540, 679, 656, 11340, 675, 4358, 1570, 563, 5415, 5063, 267, 29512, 679, 21468, 846, 29193, 2409, 723, 1044, 2919, 1759, 593, 519, 7601, 263, 296, 9984, 13906, 3315, 7458, 31669, 1840, 540, 6182, 793, 731, 6547, 547, 679, 2158, 269, 634, 6069, 7271, 3322, 1098, 5471, 531, 566, 689, 519, 6182, 793, 731, 556, 26047, 547, 7601, 267, 31669, 1840, 267, 543, 2557, 1673, 9057, 1456, 1487, 21063, 17594, 630, 5408, 519, 26922, 5580, 13374, 538, 3830, 630, 273, 264, 1916, 9928, 2100, 543, 7799, 14591, 454, 3725, 13905, 540, 1418, 665, 32111, 2249, 666, 581, 5258, 883, 29512, 543, 588, 334, 24734, 6248, 14726, 269, 4014, 1418, 665, 32111, 7135, 723, 5097, 1044, 6964, 538, 588, 334, 24734, 6248, 5666, 585, 5214, 10282, 267, 29512, 2409, 616, 3730, 585, 679, 21468, 846, 29193, 6547, 543, 2154, 1447, 7041, 982, 588, 334, 24734, 6248, 2409, 269, 901, 3296, 6257, 1312, 29512, 543, 588, 334, 24734, 6248, 6547, 540, 1418, 665, 32111, 23838, 267, 609, 513, 1880, 1445, 593, 7576, 30858, 18839, 543, 31669, 1840, 6547, 563, 29272, 24608, 1234, 13905, 540, 5029, 665, 32111, 3281, 2432, 454, 309, 514, 2643, 543, 513, 787, 331, 6182, 793, 731, 556, 698, 757, 7008, 609, 3119, 12659, 2643, 10300, 1938, 538, 519, 4527, 540, 513, 29512, 2179, 540, 513, 7601, 263, 296, 264, 10300, 728, 6070, 269, 634, 946, 540, 9149, 273, 290, 340, 5141, 275, 2864, 982, 2241, 7601, 263, 296, 264, 10300, 728, 20919, 630, 290, 340, 311, 264, 10607, 11729, 540, 891, 23993, 6547, 15186, 563, 763, 1840, 540, 6182, 793, 731, 556, 698, 757, 547, 12659, 29498, 568, 19658, 676, 513, 29512, 2179, 540, 7601, 10300, 728, 269, 3690, 5471, 531, 566, 547, 7601, 543, 16087, 665, 340, 1440, 566, 616, 4553, 676, 1098, 5471, 531, 566, 540, 519, 1587, 12659, 2940, 1394, 547, 13101, 269, 634, 1840, 568, 5348, 8259, 513, 25640, 1895, 568, 7404, 538, 519, 14041, 267, 538, 799, 2013, 519, 1840, 3587, 4550, 543, 11729, 2087, 563, 306, 1729, 24734, 6248, 1234, 13905, 540, 5029, 665, 32111, 3281, 2432, 454, 303, 1886, 1173, 2643, 8715, 6951, 5285, 7149, 616, 3730, 26828, 585, 519, 10282, 540, 782, 25333, 689, 588, 334, 24734, 6248, 1418, 665, 32111, 23838, 269, 769, 713, 2013, 267, 519, 23838, 941, 6383, 538, 2198, 998, 519, 4999, 540, 513, 6182, 793, 731, 556, 26047, 267, 7601, 263, 296, 264, 28538, 728, 267, 543, 16864, 28538, 728, 269, 5029, 665, 32111, 23838, 1360, 1419, 991, 11066, 3679, 11852, 538, 1931, 547, 2746, 7561, 282, 13101, 28538, 728, 6383, 538, 2198, 5713, 607, 606, 1437, 908, 11066, 3679, 538, 713, 2013, 563, 2704, 5287, 2643, 19817, 704, 23838, 267, 3362, 6383, 998, 16087, 665, 340, 1440, 566, 267, 616, 3730, 585, 519, 4367, 540, 513, 24064, 2643, 1895, 538, 519, 16061, 2990, 540, 513, 3327, 2643, 7623, 269, 769, 713, 2013, 267, 607, 1657, 267, 13101, 28538, 728, 568, 7674, 607, 606, 1437, 908, 11066, 3679, 563, 23744, 267, 1418, 665, 340, 1440, 919, 2746, 609, 24343, 997, 32661, 3796, 538, 606, 4550, 19301, 273, 6752, 269, 769, 519, 5114, 2630, 267, 5176, 2347, 538, 11437, 540, 12122, 729, 4767, 5103, 519, 4527, 540, 513, 2034, 8305, 665, 10938, 538, 519, 8258, 563, 3519, 24503, 622, 1840, 540, 1418, 665, 340, 1440, 919, 568, 4922, 1031, 538, 5214, 10282, 269, 15550, 2643, 552, 750, 24140, 1440, 919, 4196, 607, 10375, 1035, 2643, 606, 542, 5973, 757, 538, 31669, 1840, 6547, 547, 679, 2158, 269, 634, 4611, 679, 565, 552, 750, 338, 666, 581, 29230, 7458, 547, 476, 272, 267, 275, 1673, 1731, 564, 2158, 267, 799, 616, 2352, 547, 1569, 1210, 6671, 3327, 2643, 7998, 563, 763, 946, 540, 21187, 538, 14966, 609, 513, 588, 334, 24734, 6248, 2179, 540, 1418, 665, 32111, 23838, 10597, 519, 2557, 543, 6556, 540, 1082, 6547, 269, 5029, 665, 32111, 23838, 538, 1880, 2746, 22376, 1375, 880, 569, 538, 519, 9000, 540, 513, 11066, 3679, 269, 4014, 13101, 28538, 728, 6383, 538, 2198, 689, 519, 5114, 540, 6182, 793, 731, 556, 698, 757, 543, 7601, 263, 296, 264, 10300, 1938, 666, 4196, 713, 1909, 630, 5408, 1657, 1070, 5007, 11066, 7408, 616, 849, 3730, 269, 769, 519, 4527, 540, 18664, 517, 959, 604, 1663, 528, 728, 552, 750, 622, 267, 1418, 665, 32111, 23838, 616, 2111, 547, 1039, 547, 10322, 1227, 7249, 6479, 679, 2158, 538, 9793, 6556, 630, 324, 977, 532, 519, 1482, 7004, 609, 606, 1418, 665, 340, 1440, 622, 1131, 581, 2352, 1916, 289, 528, 517, 959, 604, 1663, 528, 728, 552, 750, 622, 568, 849, 3730, 607, 606, 19605, 538, 6547, 540, 2362, 19195, 19826, 665, 340, 1440, 919, 269, 634, 946, 540, 519, 476, 273, 6253, 1329, 2643, 1895, 607, 513, 834, 323, 16244, 257, 2655, 15856, 550, 538, 519, 19826, 665, 340, 1440, 622, 11122, 525, 519, 5732, 3407, 1418, 14663, 1756, 556, 26047, 1031, 547, 5352, 519, 19826, 665, 340, 1440, 622, 630, 553, 1152, 519, 546, 16244, 1895, 568, 1459, 538, 7601, 25202, 676, 335, 20094, 1040, 769, 519, 9000, 540, 18664, 517, 959, 604, 1663, 528, 728, 552, 750, 622, 267, 1100, 5114, 729, 4767, 538, 713, 2013, 563, 3519, 24503, 622, 1840, 6547, 540, 2362, 19195, 19826, 665, 340, 1440, 919, 2099, 1776, 3730, 3498, 585, 18664, 517, 959, 604, 1663, 528, 728, 552, 750, 622, 269, 634, 24064, 2643, 1895, 568, 11843, 28729, 538, 713, 5114, 282, 713, 568, 538, 4334, 547, 18839, 6547, 14139, 519, 1482, 556, 26047, 267, 799, 1267, 538, 16496, 4483, 540, 519, 18861, 1895, 563, 10303, 519, 8305, 846, 937, 2032, 540, 16087, 665, 340, 1440, 566, 568, 5393, 1164, 267, 519, 5114, 814, 1044, 4294, 547, 519, 10282, 540, 32176, 668, 2158, 538, 799, 519, 12166, 19454, 540, 5595, 7554, 568, 2565, 269, 2290, 1383, 568, 519, 5521, 32176, 668, 821, 540, 595, 1601, 639, 524, 1601, 639, 267, 799, 568, 24704, 676, 5348, 5498, 29193, 16087, 665, 340, 1440, 566, 540, 1035, 25485, 2940, 543, 12659, 2643, 566, 540, 519, 4611, 1418, 665, 340, 1440, 622, 538, 519, 4527, 540, 3773, 8485, 924, 563, 268, 700, 2354, 327, 583, 345, 267, 645, 269, 670, 5919, 590, 15115, 24473, 267, 590, 269, 2107, 326, 269, 1234, 716, 269, 476, 1960, 273, 267, 476, 6078, 267, 476, 13670, 269, 8222, 281, 1015, 269, 1911, 273, 270, 271, 5325, 14695, 275, 1240, 271, 269, 528, 271, 6078, 269, 6349, 454, 268, 918, 9618, 553, 577, 267, 631, 269, 590, 5919, 570, 1177, 2284, 267, 623, 269, 744, 269, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 3707, 272, 267, 476, 8287, 267, 476, 15996, 279, 563, 268, 918, 753, 531, 267, 966, 269, 918, 5919, 13177, 267, 681, 269, 808, 269, 918, 269, 808, 269, 6314, 269, 17502, 269, 3131, 7219, 3690, 269, 476, 272, 476, 2735, 275, 267, 476, 3583, 274, 563, 268, 30142, 1676, 267, 717, 269, 670, 269, 2107, 326, 269, 1234, 716, 269, 476, 3192, 276, 267, 476, 2420, 267, 476, 26562, 563, 268, 700, 2354, 327, 583, 345, 267, 645, 269, 670, 5919, 30247, 267, 681, 269, 590, 5919, 4469, 20477, 267, 667, 269, 631, 269, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 2735, 272, 267, 476, 9818, 267, 476, 278, 6858, 273, 563, 268, 23111, 3120, 267, 631, 5919, 918, 5255, 328, 267, 808, 269, 918, 269, 808, 269, 5029, 2210, 269, 6314, 269, 476, 3192, 273, 267, 476, 5655, 267, 476, 13078, 563, 268, 11759, 344, 267, 661, 269, 808, 5919, 4425, 1794, 267, 715, 269, 654, 269, 570, 25523, 28353, 32731, 269, 476, 2735, 275, 267, 476, 1839, 267, 476, 25134, 280, 563, 268, 9652, 267, 595, 269, 681, 5919, 667, 583, 571, 267, 717, 269, 589, 269, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 3192, 274, 267, 476, 4817, 267, 476, 6507, 278, 278, 563, 268, 12891, 2421, 267, 661, 269, 595, 5919, 23045, 2006, 267, 667, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 2735, 278, 267, 476, 7367, 267, 476, 3393, 276, 275, 563, 268, 9050, 267, 623, 5919, 681, 643, 328, 699, 267, 670, 5919, 19358, 267, 623, 269, 654, 269, 570, 25523, 28353, 32731, 269, 476, 3192, 278, 267, 476, 4343, 278, 280, 563, 268, 26689, 1380, 267, 590, 269, 681, 5919, 8055, 267, 590, 269, 717, 269, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 2735, 272, 267, 476, 9818, 267, 476, 15221, 563, 268, 8381, 1189, 267, 590, 269, 6314, 269, 17502, 269, 4860, 269, 476, 1220, 271, 267, 476, 3066, 267, 476, 4375, 274, 563, 268, 5689, 3088, 326, 267, 670, 5919, 715, 559, 26856, 267, 631, 5919, 772, 961, 523, 3780, 267, 595, 269, 570, 25523, 28353, 32731, 269, 476, 2735, 273, 267, 476, 2537, 267, 476, 4343, 273, 274, 563, 268, 4498, 14280, 684, 12505, 267, 590, 5919, 700, 6759, 19649, 267, 674, 5919, 645, 992, 928, 267, 654, 5919, 4856, 16699, 267, 589, 5919, 3212, 29823, 267, 667, 5919, 645, 11456, 9445, 267, 681, 5919, 2725, 1115, 2742, 267, 589, 5919, 3687, 3534, 731, 267, 589, 5919, 674, 1359, 320, 267, 645, 269, 700, 269, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 1220, 277, 267, 476, 12553, 267, 476, 280, 1015, 274, 563, 268, 715, 684, 558, 9369, 267, 590, 5919, 918, 1177, 752, 9564, 267, 962, 5919, 26232, 1662, 7534, 267, 962, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 2735, 274, 267, 476, 4366, 267, 476, 4489, 273, 563, 268, 808, 748, 22855, 2541, 267, 645, 269, 1912, 6185, 269, 19080, 267, 2160, 540, 645, 867, 324, 14513, 267, 5333, 267, 476, 3192, 278, 563, 268, 21890, 6359, 333, 267, 670, 5919, 29021, 267, 595, 269, 808, 5919, 4639, 332, 6359, 2763, 267, 670, 5919, 2725, 6359, 518, 267, 808, 5919, 21502, 17621, 267, 623, 269, 570, 25523, 28353, 32731, 269, 476, 3192, 280, 267, 476, 20542, 272, 563, 268, 3057, 325, 520, 267, 589, 5919, 5062, 10817, 25184, 267, 623, 269, 681, 5919, 4477, 638, 626, 267, 623, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 3192, 280, 267, 476, 4510, 267, 476, 4343, 279, 279, 563, 268, 9652, 267, 631, 269, 681, 5919, 26981, 1092, 267, 570, 5919, 918, 31381, 267, 962, 269, 570, 25523, 28353, 32731, 269, 476, 3192, 280, 267, 476, 275, 4097, 274, 563, 268, 3619, 1359, 267, 670, 269, 700, 5919, 23006, 1676, 267, 590, 269, 590, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 2735, 272, 267, 476, 5379, 267, 476, 20969, 275, 563, 268, 645, 4141, 1188, 2006, 267, 681, 269, 918, 5919, 681, 4821, 11672, 267, 631, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 3192, 278, 267, 476, 5655, 267, 476, 15647, 272, 563, 268, 26232, 600, 9369, 267, 962, 5919, 26232, 600, 9369, 267, 590, 5919, 962, 520, 698, 2967, 267, 590, 5919, 1772, 6062, 327, 4673, 267, 962, 5919, 3057, 8500, 4821, 267, 918, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 2735, 273, 267, 476, 5325, 267, 476, 15686, 563, 268, 700, 2354, 327, 583, 345, 267, 645, 269, 670, 5919, 26436, 267, 667, 269, 589, 5919, 918, 9926, 869, 24989, 267, 808, 269, 589, 5919, 715, 7666, 344, 523, 267, 590, 269, 700, 269, 570, 25523, 28353, 32731, 269, 476, 2735, 275, 267, 476, 1839, 267, 476, 276, 4817, 280, 563, 268, 700, 2354, 327, 583, 345, 267, 645, 269, 670, 5919, 30247, 267, 681, 269, 590, 5919, 918, 9926, 869, 24989, 267, 808, 269, 589, 269, 808, 269, 2107, 326, 269, 6314, 269, 476, 2735, 275, 267, 476, 5392, 267, 476, 4375, 274, 279, 563, 268, 595, 1695, 773, 345, 267, 717, 5919, 5981, 752, 529, 267, 589, 5919, 11870, 656, 267, 808, 269, 674, 269, 570, 25523, 28353, 32731, 269, 476, 3192, 279, 267, 476, 1708, 278, 269, 0, 26123, 9082, 1185, 519, 4324, 540, 4158, 22839, 543, 4810, 519, 2407, 4715, 12386, 540, 519, 5182, 787, 30723, 269, 634, 9855, 5795, 1769, 693, 3781, 543, 1131, 723, 1044, 3226, 3730, 538, 519, 1079, 4374, 1298, 1042, 593, 2407, 9855, 269, 634, 2834, 10865, 4783, 540, 16264, 11775, 3177, 513, 10375, 2268, 540, 942, 267, 2390, 799, 1082, 3504, 30300, 1513, 941, 1759, 563, 24078, 621, 513, 32665, 11706, 286, 589, 3859, 11454, 286, 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, 5814, 621, 1068, 8962, 7531, 3698, 568, 5334, 574, 921, 20311, 16325, 2187, 825, 952, 1003, 2999, 476, 273, 912, 1038, 2132, 8771, 454, 825, 3900, 518, 815, 476, 273, 454, 825, 1247, 3900, 518, 2999, 1003, 912, 1038, 952, 1003, 4939, 3900, 518, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 3900, 518, 6834, 476, 272, 454, 825, 2132, 6936, 7531, 3698, 22136, 10031, 825, 1003, 815, 476, 273, 454, 825, 1247, 6936, 912, 1038, 952, 568, 5334, 574, 921, 20311, 16325, 2187, 2018, 6556, 1003, 454, 1038, 1003, 6834, 476, 272, 7531, 2745, 17338, 263, 527, 1068, 8962, 6745, 820, 6112, 10857, 10033, 1535, 281, 1535, 10922, 476, 4029, 267, 22136, 3890, 4297, 2020, 0, 5035, 6348, 31339, 13286, 263, 2750, 4003, 2187, 825, 1780, 7531, 5035, 15474, 8266, 17338, 2187, 825, 1219, 16289, 4311, 267, 533, 318, 15953, 2187, 1038, 952, 533, 318, 15953, 3436, 476, 271, 912, 2018, 2706, 27456, 10737, 8266, 267, 1582, 1040, 6572, 9638, 318, 15953, 994, 1038, 3116, 912, 2018, 6318, 6348, 31339, 13286, 692, 4289, 815, 15474, 8266, 10797, 339, 787, 912, 825, 1592, 6910, 263, 273, 994, 825, 1592, 6910, 263, 272, 994, 825, 1592, 6910, 8987, 272, 994, 825, 1592, 6910, 263, 1321, 994, 21955, 6348, 31339, 13286, 912, 825, 1820, 3488, 15239, 2318, 1297, 17210, 2745, 17338, 994, 0, 258, 256, 1315, 23591, 24800, 270, 7090, 1477, 258, 16344, 17575, 1628, 5334, 13996, 18258, 5897, 5814, 15259, 1477, 5814, 19523, 1477, 5814, 23407, 12803, 5897, 345, 815, 23407, 12803, 269, 313, 760, 17572, 3488, 338, 13996, 269, 32502, 3299, 1412, 342, 20298, 12248, 815, 476, 271, 5897, 258, 7046, 519, 3758, 609, 3758, 4289, 23228, 5976, 1930, 3488, 338, 13996, 269, 2006, 28685, 10807, 607, 535, 6769, 453, 325, 3796, 815, 535, 18667, 14061, 20889, 6050, 14052, 825, 1948, 594, 614, 622, 936, 519, 3515, 267, 1142, 1899, 4564, 513, 3758, 2012, 23228, 22610, 3758, 538, 6119, 6769, 453, 453, 12248, 815, 1293, 1341, 476, 272, 1477, 453, 453, 345, 22182, 263, 657, 29624, 8542, 768, 12949, 31526, 1070, 15259, 29624, 8542, 768, 12949, 31526, 1070, 14771, 25292, 815, 23407, 12803, 269, 313, 7709, 32707, 9128, 299, 28714, 3418, 345, 25379, 31476, 2745, 3488, 24001, 6119, 19316, 547, 7746, 269, 32502, 8339, 8971, 6262, 870, 4297, 0, 325, 11170, 284, 703, 630, 6358, 15405, 25975, 3960, 284, 703, 630, 6358, 15405, 322, 284, 703, 630, 6358, 15405, 1721, 1775, 538, 476, 2039, 263, 272, 267, 476, 272, 25239, 2187, 825, 952, 1775, 260, 325, 11170, 2525, 271, 543, 1775, 260, 25975, 3960, 2525, 271, 912, 1038, 1820, 18011, 293, 289, 5073, 825, 8640, 1775, 260, 325, 11170, 2525, 271, 912, 1038, 1820, 18011, 293, 5073, 825, 8640, 1775, 260, 25975, 3960, 2525, 271, 912, 1038, 1820, 18011, 289, 5073, 825, 3116, 912, 672, 13537, 630, 328, 994, 0, 11133, 284, 703, 9272, 2891, 11767, 9642, 1297, 256, 281, 27328, 3698, 1250, 5334, 13645, 16325, 2187, 825, 2132, 1003, 2878, 476, 273, 454, 1721, 795, 538, 2039, 263, 273, 267, 1003, 2187, 825, 952, 1003, 4939, 795, 2652, 476, 271, 912, 1038, 2736, 3097, 12828, 281, 3097, 825, 1820, 630, 11133, 2878, 476, 273, 994, 3097, 825, 454, 567, 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 10070, 1104, 22388, 692, 12163, 5522, 582, 519, 10297, 543, 741, 1624, 675, 1338, 585, 3584, 454, 20701, 454, 3698, 2262, 12248, 29254, 267, 2012, 2187, 825, 8173, 825, 2262, 12248, 338, 609, 10297, 585, 21458, 609, 16726, 3252, 454, 825, 2433, 12407, 17093, 281, 17093, 609, 3584, 543, 10297, 454, 825, 2433, 12407, 2012, 281, 834, 18350, 1564, 257, 610, 834, 2181, 15263, 539, 9078, 629, 1564, 4840, 825, 2433, 8873, 281, 8675, 609, 10297, 543, 6003, 12523, 454, 825, 8173, 825, 6003, 815, 1592, 29254, 314, 4067, 7481, 825, 6003, 8217, 815, 11713, 825, 585, 561, 538, 6003, 912, 1038, 952, 711, 561, 912, 2018, 6003, 8217, 6910, 2891, 10387, 27679, 5602, 1038, 3116, 912, 2018, 6003, 8217, 6910, 10857, 314, 271, 20285, 825, 2132, 22388, 10857, 8475, 8217, 9239, 3698, 2262, 12248, 318, 2675, 528, 29254, 267, 2012, 2187, 825, 8173, 825, 2262, 12248, 338, 609, 10297, 585, 21458, 609, 18176, 10818, 454, 825, 2433, 12407, 17093, 281, 17093, 609, 3584, 543, 10297, 454, 825, 2433, 12407, 2012, 281, 834, 18350, 1564, 257, 610, 834, 2181, 15263, 539, 9078, 629, 1564, 4840, 825, 2433, 8873, 281, 8675, 609, 10297, 543, 6003, 12523, 454, 825, 8173, 825, 6003, 815, 1592, 29254, 314, 4067, 7481, 825, 6003, 8217, 815, 11713, 825, 585, 561, 538, 6003, 912, 1038, 952, 711, 561, 912, 2018, 6003, 8217, 6910, 2891, 10387, 27679, 5602, 1038, 3116, 912, 2018, 6003, 8217, 6910, 10857, 2020, 825, 2132, 22388, 10857, 8475, 8217, 9239, 3698, 5697, 318, 6919, 5560, 1112, 267, 2824, 29999, 8217, 2187, 825, 8173, 825, 2824, 1913, 476, 543, 2262, 12523, 689, 8675, 454, 825, 2433, 12407, 9598, 912, 825, 2433, 12407, 2824, 29999, 8217, 912, 825, 2433, 8873, 281, 1592, 454, 825, 8173, 825, 5697, 318, 6919, 815, 11713, 825, 585, 530, 538, 2824, 29999, 8217, 912, 1038, 952, 530, 538, 9598, 912, 2018, 5697, 318, 6919, 6910, 9230, 342, 267, 18743, 314, 342, 28413, 825, 2132, 5697, 318, 6919, 7531, 3698, 4729, 9078, 8475, 18045, 338, 29254, 267, 2012, 267, 32197, 267, 1187, 267, 2140, 29679, 677, 25716, 267, 2759, 318, 2158, 25716, 2187, 825, 8173, 825, 18140, 519, 1297, 540, 1114, 10297, 692, 825, 2433, 12407, 17093, 912, 825, 2433, 12407, 2012, 281, 2012, 540, 3579, 4379, 454, 825, 2433, 12407, 32197, 912, 825, 2433, 12407, 1187, 281, 1599, 2262, 12248, 318, 2675, 528, 610, 2262, 12248, 454, 825, 2433, 8873, 912, 825, 8173, 825, 4831, 815, 1187, 29254, 267, 2012, 994, 825, 10297, 267, 2418, 815, 23407, 28949, 322, 3300, 29096, 15405, 825, 17523, 815, 5286, 30784, 1052, 12759, 10857, 629, 1564, 11723, 825, 12301, 26644, 3488, 299, 8475, 12523, 585, 15079, 8339, 8971, 6025, 1856, 4917, 825, 12301, 11859, 16932, 3488, 299, 8475, 5073, 825, 12301, 269, 29786, 3488, 10831, 540, 10297, 17210, 825, 952, 4990, 912, 1038, 15044, 28767, 16182, 343, 815, 5286, 269, 16911, 677, 263, 11161, 264, 11468, 18737, 272, 2639, 1038, 10297, 815, 5286, 269, 553, 6783, 10857, 629, 1564, 25011, 338, 9285, 28767, 16182, 343, 2639, 1038, 2418, 815, 5286, 269, 553, 6783, 263, 11161, 25011, 338, 9285, 28767, 16182, 343, 6540, 1038, 952, 2759, 318, 2158, 912, 2018, 835, 16182, 343, 815, 5286, 27769, 3602, 263, 11161, 2525, 272, 25011, 271, 6012, 271, 2639, 2018, 10297, 815, 10297, 314, 271, 281, 821, 16182, 343, 266, 273, 2639, 2018, 2418, 815, 2418, 314, 271, 281, 821, 16182, 343, 266, 273, 2639, 2018, 10297, 314, 821, 16182, 343, 266, 272, 316, 815, 1412, 1862, 7055, 2018, 17523, 815, 5286, 30784, 1052, 12759, 10857, 629, 1564, 11723, 825, 12301, 269, 12682, 6506, 263, 9792, 263, 271, 267, 10946, 263, 11161, 1070, 273, 4917, 825, 12301, 269, 8663, 263, 785, 1182, 267, 2418, 994, 825, 12301, 269, 868, 6506, 263, 785, 1182, 267, 10297, 267, 10047, 284, 3445, 994, 825, 1948, 10823, 4732, 1511, 14808, 2891, 290, 281, 11138, 5825, 619, 11138, 300, 7559, 11138, 5327, 330, 9008, 11138, 346, 20467, 23486, 2668, 8971, 6600, 32327, 1070, 6277, 2135, 18425, 2583, 8782, 31259, 5073, 825, 12301, 20481, 4590, 0, 5814, 4351, 7531, 3698, 1376, 14682, 877, 10031, 825, 1948, 18224, 606, 25644, 11320, 4372, 5048, 547, 519, 6345, 563, 825, 1820, 2891, 3269, 454, 825, 1547, 6303, 1693, 13090, 563, 825, 1923, 27702, 8702, 547, 1250, 27702, 2008, 825, 1923, 318, 10831, 2871, 31757, 10794, 256, 318, 2008, 825, 1923, 6303, 1693, 13090, 347, 3269, 15419, 825, 1948, 15188, 513, 4351, 1297, 607, 519, 2626, 4882, 1828, 563, 825, 4351, 19571, 815, 4351, 27110, 263, 272, 267, 476, 1839, 994, 825, 7058, 525, 815, 11713, 825, 2119, 912, 1038, 6345, 318, 29674, 815, 703, 9272, 19629, 333, 10817, 612, 513, 1297, 1063, 476, 272, 543, 476, 1839, 281, 476, 27328, 1038, 7058, 525, 6910, 263, 16651, 318, 29674, 994, 1038, 1948, 8033, 28204, 5401, 519, 6345, 585, 513, 7058, 563, 1038, 1247, 6345, 318, 29674, 11203, 4351, 19571, 912, 2018, 1948, 5269, 2386, 519, 6345, 666, 2119, 1586, 952, 789, 7058, 3544, 540, 519, 1297, 2039, 563, 2018, 952, 6345, 318, 29674, 3436, 476, 1839, 610, 6345, 318, 29674, 2999, 476, 272, 912, 3546, 7058, 525, 6910, 263, 16651, 318, 29674, 994, 3546, 6345, 318, 29674, 815, 703, 9272, 2891, 763, 1297, 596, 31665, 568, 711, 1369, 476, 272, 543, 476, 1839, 267, 2285, 621, 1776, 8929, 281, 476, 27328, 2018, 1948, 567, 1403, 519, 7058, 3152, 982, 519, 3070, 267, 4159, 547, 519, 6345, 834, 2005, 781, 2539, 8487, 2018, 3116, 912, 3546, 952, 6345, 318, 29674, 2999, 4351, 19571, 912, 7386, 1820, 2891, 32451, 1970, 32405, 3546, 1948, 567, 1403, 519, 7058, 568, 1447, 982, 519, 3070, 267, 4159, 547, 519, 6345, 834, 2005, 781, 2362, 8487, 3546, 8640, 6345, 318, 29674, 3436, 4351, 19571, 912, 7386, 1820, 2891, 32451, 1164, 32405, 3546, 6345, 318, 29674, 815, 703, 9272, 2891, 8923, 2119, 1586, 281, 476, 27328, 3546, 7058, 525, 6910, 263, 16651, 318, 29674, 994, 825, 4849, 28759, 607, 20093, 912, 1038, 1820, 2891, 17764, 1100, 256, 898, 5654, 899, 1945, 4682, 4636, 907, 23528, 1038, 1820, 2891, 20719, 16585, 2668, 8971, 263, 20482, 4917, 825, 3116, 912, 1038, 1948, 4495, 519, 7058, 568, 2953, 267, 3247, 8520, 532, 267, 1217, 519, 3593, 789, 834, 294, 582, 621, 4840, 1038, 1948, 543, 1397, 875, 1082, 8942, 621, 3576, 873, 547, 1205, 519, 2953, 1297, 563, 1038, 1820, 19629, 333, 23558, 256, 1411, 3893, 621, 538, 15079, 7058, 525, 1701, 269, 8971, 12759, 263, 29674, 525, 21875, 1038, 1948, 2913, 519, 6345, 917, 519, 3014, 568, 10678, 267, 610, 1945, 602, 6920, 519, 3014, 568, 936, 563, 825, 1404, 318, 28785, 815, 3403, 19629, 333, 25898, 596, 899, 547, 1404, 1586, 286, 630, 312, 21610, 264, 476, 834, 1040, 12294, 4590, 825, 952, 1404, 318, 28785, 2652, 834, 344, 13426, 1038, 1376, 14682, 877, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 918, 1157, 1055, 519, 1982, 676, 10912, 519, 1376, 14682, 877, 1599, 563, 825, 1376, 14682, 877, 4590, 0, 5814, 14854, 454, 5814, 2979, 454, 321, 984, 815, 14854, 11053, 31103, 4590, 28744, 6357, 984, 994, 18851, 1721, 1775, 538, 2039, 263, 275, 2187, 825, 27342, 8807, 323, 263, 1911, 994, 825, 27342, 269, 2741, 263, 3445, 9239, 339, 31103, 6230, 664, 31467, 3890, 20701, 339, 815, 14854, 11053, 31103, 4590, 339, 4732, 32497, 263, 1428, 2020, 3698, 4874, 1467, 6025, 267, 562, 267, 3259, 267, 5086, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 512, 8807, 323, 10857, 2654, 994, 1038, 512, 269, 2741, 263, 4120, 9239, 3698, 20372, 6025, 267, 3259, 267, 562, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 512, 8807, 323, 10857, 2654, 994, 1038, 512, 269, 2741, 263, 11740, 14672, 994, 672, 7531, 258, 335, 8432, 12455, 6357, 984, 267, 476, 2004, 2073, 476, 274, 264, 1948, 339, 849, 1568, 607, 513, 1289, 692, 3698, 9095, 6025, 267, 678, 267, 5086, 2187, 825, 9095, 28747, 815, 476, 273, 2608, 2979, 32564, 2608, 678, 2608, 2612, 263, 4120, 264, 1315, 476, 11740, 454, 825, 562, 815, 703, 263, 2117, 28747, 1315, 476, 275, 264, 1341, 476, 274, 454, 825, 1900, 28747, 815, 9095, 28747, 1315, 562, 454, 825, 1900, 318, 4120, 815, 10581, 263, 4120, 264, 1315, 562, 454, 825, 512, 269, 2741, 263, 21163, 318, 4120, 270, 273, 994, 825, 4874, 1467, 6025, 267, 562, 267, 1900, 28747, 267, 1900, 318, 4120, 994, 825, 512, 269, 4135, 263, 21163, 318, 4120, 270, 273, 994, 672, 692, 3698, 5858, 6025, 267, 678, 2187, 825, 9095, 6025, 267, 678, 267, 476, 11740, 2020, 692, 3698, 8768, 6025, 267, 678, 267, 5086, 267, 562, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 9095, 6025, 267, 678, 267, 5086, 994, 1038, 512, 269, 2741, 263, 3445, 994, 1038, 9095, 6025, 267, 678, 267, 5086, 994, 1038, 562, 272, 815, 630, 11740, 1315, 562, 994, 1038, 512, 269, 2741, 3799, 272, 12467, 1363, 7531, 3698, 2650, 6025, 267, 3259, 267, 562, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 513, 272, 815, 630, 11740, 1315, 562, 994, 1038, 1820, 5416 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 7069, 3355, 2219, 729, 1265, 519, 13074, 4783, 267, 855, 594, 1810, 1405, 1589, 602, 1568, 780, 296, 1589, 519, 1739, 568, 4570, 1384, 825, 476, 272, 2999, 15010, 476, 273, 26013, 476, 274, 692, 10214, 1498, 476, 272, 568, 711, 645, 13697, 781, 609, 476, 274, 267, 543, 476, 274, 568, 711, 645, 13697, 781, 609, 476, 272, 269, 901, 3884, 1405, 454, 320, 4783, 269, 1548, 568, 713, 2496, 12179, 476, 273, 268, 12860, 666, 581, 959, 643, 6053, 3773, 547, 519, 5858, 952, 519, 5858, 568, 2608, 2254, 20330, 320, 4783, 780, 28646, 621, 781, 519, 7887, 4783, 2608, 3036, 265, 519, 2040, 540, 519, 13074, 10092, 10678, 538, 454, 320, 476, 273, 268, 12860, 630, 26238, 789, 666, 782, 581, 1031, 1916, 20701, 5814, 10070, 692, 307, 815, 3403, 10797, 1721, 2013, 19571, 538, 1535, 9792, 24867, 2187, 825, 715, 815, 3403, 4590, 825, 674, 815, 4786, 17301, 267, 6151, 17750, 14061, 20889, 31156, 825, 13074, 318, 12860, 815, 476, 271, 454, 825, 13074, 24786, 318, 1721, 318, 273, 318, 12860, 815, 10070, 269, 29239, 18743, 17301, 2020, 825, 585, 1376, 538, 1535, 9792, 18217, 2187, 1038, 2938, 815, 1305, 10797, 1038, 2063, 815, 7183, 454, 1038, 1225, 815, 1376, 454, 1038, 7475, 18425, 318, 273, 318, 12860, 815, 8771, 454, 1038, 1247, 1225, 711, 538, 2938, 912, 2018, 2938, 14491, 263, 2017, 994, 2018, 562, 868, 815, 674, 314, 2017, 316, 910, 476, 272, 692, 2018, 952, 562, 868, 2652, 2063, 912, 3546, 13074, 24786, 318, 1721, 318, 273, 318, 12860, 27007, 2017, 267, 2063, 13580, 815, 3193, 18692, 7386, 13074, 24786, 318, 1721, 318, 273, 318, 12860, 27007, 2017, 267, 2063, 13580, 2676, 7386, 7003, 263, 16308, 11723, 2018, 2063, 815, 1225, 454, 2018, 1225, 815, 562, 868, 692, 1038, 952, 1225, 2652, 1376, 912, 2018, 13074, 318, 12860, 815, 3193, 10857, 784, 652, 318, 12860, 267, 7003, 263, 16308, 11723, 825, 1079, 318, 12860, 23962, 815, 476, 271, 454, 825, 1079, 318, 31260, 318, 16308, 815, 1305, 10797, 825, 585, 630, 320, 267, 536, 1070, 642, 538, 13074, 24786, 318, 1721, 318, 273, 318, 12860, 269, 3438, 19477, 10031, 1038, 1079, 318, 12860, 23962, 6834, 642, 692, 1038, 952, 8389, 17899, 564, 8443, 320, 267, 536, 8079, 538, 1079, 318, 31260, 318, 16308, 912, 2018, 1079, 318, 12860, 23962, 20699, 476, 273, 454, 1038, 3116, 912, 2018, 1079, 318, 31260, 318, 16308, 14491, 6600, 549, 17899, 564, 8443, 320, 267, 536, 8079, 2020, 825, 20735, 815, 3193, 10857, 784, 652, 318, 12860, 267, 1079, 318, 12860, 23962, 2020, 825, 1820, 1412, 19111, 1948, 260, 323, 281, 4939, 338, 262, 4939, 630, 13826, 19571, 1341, 476, 272, 267, 20735, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5814, 19523, 692, 3698, 2503, 263, 637, 267, 20444, 326, 6889, 11902, 6579, 257, 2187, 825, 952, 711, 759, 912, 1038, 1820, 263, 916, 326, 994, 1038, 19523, 20216, 527, 263, 272, 2020, 3698, 1024, 26000, 336, 338, 10857, 2654, 2187, 825, 952, 3259, 2652, 476, 271, 912, 1038, 2132, 1496, 3269, 2639, 825, 3116, 912, 1038, 3490, 815, 1024, 26000, 336, 338, 10857, 2654, 910, 476, 272, 994, 1038, 759, 815, 11713, 1038, 585, 1605, 332, 538, 3490, 912, 2018, 759, 6910, 16216, 12661, 1341, 834, 876, 5602, 2018, 759, 6910, 16216, 12661, 1341, 834, 1556, 5602, 1038, 2132, 759, 28329, 3698, 1292, 10031, 825, 703, 9272, 15405, 825, 715, 267, 808, 815, 4786, 17301, 267, 3403, 14061, 20889, 15405, 825, 2503, 18217, 13843, 476, 273, 994, 825, 2503, 18217, 4939, 476, 273, 2652, 476, 271, 994, 8931, 825, 694, 336, 338, 815, 1024, 26000, 336, 338, 9230, 301, 910, 476, 275, 264, 1315, 476, 273, 994, 825, 2503, 12759, 263, 572, 336, 338, 264, 13843, 808, 994, 8931, 825, 1820, 2891, 19111, 1948, 272, 281, 5602, 825, 585, 1775, 538, 2039, 263, 297, 2187, 1038, 1820, 2891, 1556, 257, 1341, 694, 336, 338, 5157, 316, 1341, 834, 1556, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 15419, 10852, 4590, 0, 5814, 1187, 551, 8962, 1477, 5814, 621, 1068, 8962, 24653, 325, 333, 815, 1412, 289, 23337, 718, 31281, 3319, 272, 262, 1477, 6358, 815, 1930, 6600, 333, 266, 8339, 514, 12887, 337, 20298, 16059, 815, 1930, 6600, 333, 266, 8339, 719, 3299, 1412, 342, 262, 10142, 3698, 4194, 6262, 848, 8029, 825, 715, 267, 2473, 267, 962, 815, 1496, 842, 3799, 264, 585, 562, 538, 3403, 18667, 1467, 14061, 20889, 3890, 15947, 825, 1948, 2252, 2473, 568, 2942, 1287, 1175, 16212, 621, 910, 786, 581, 1482, 1813, 547, 15340, 1477, 825, 2473, 815, 2612, 11583, 10142, 825, 2625, 815, 1205, 23536, 1464, 18217, 267, 311, 267, 312, 3418, 825, 1820, 2891, 19111, 1948, 346, 271, 348, 281, 2715, 272, 348, 2668, 8971, 6262, 848, 267, 2625, 1070, 3758, 284, 16059, 10142, 3698, 1205, 23536, 1464, 18217, 267, 311, 267, 312, 8029, 825, 1948, 31590, 4120, 476, 272, 568, 519, 476, 271, 267, 271, 269, 21121, 476, 273, 568, 519, 476, 276, 2338, 1472, 621, 1477, 825, 1003, 299, 16558, 815, 703, 9230, 311, 266, 312, 8358, 273, 264, 1341, 476, 272, 1477, 825, 6906, 10831, 815, 1003, 299, 16558, 2608, 476, 273, 910, 476, 272, 5897, 825, 1948, 288, 24128, 2013, 17411, 8335, 1477, 825, 952, 2473, 2652, 476, 271, 6769, 1038, 19987, 2690, 31590, 4120, 815, 6906, 10831, 16732, 28256, 4120, 10831, 1341, 476, 272, 8358, 273, 1477, 1038, 952, 715, 13843, 19987, 2690, 31590, 4120, 6769, 2018, 2132, 476, 272, 269, 271, 1477, 1038, 3116, 6769, 2018, 2132, 476, 271, 269, 271, 1477, 825, 3116, 6769, 1038, 19987, 2690, 1103, 1676, 31590, 4120, 815, 703, 9230, 28256, 4120, 10831, 268, 272, 31618, 28256, 4120, 10831, 910, 476, 273, 8358, 273, 3418, 1038, 952, 715, 10922, 19987, 2690, 1103, 1676, 31590, 4120, 281, 1948, 2254, 2614, 14776, 12772, 547, 1376, 3257, 519, 4494, 1477, 2018, 2132, 476, 271, 269, 271, 5897, 1038, 19987, 7230, 8724, 815, 715, 910, 19987, 2690, 1103, 1676, 31590, 4120, 1477, 1038, 19987, 4002, 306, 728, 26473, 1600, 815, 962, 1341, 476, 272, 1948, 2252, 593, 962, 284, 273, 267, 1287, 991, 476, 274, 19987, 547, 2887, 593, 713, 2427, 547, 1205, 621, 1477, 1038, 952, 19987, 7230, 8724, 2999, 19987, 4002, 306, 728, 26473, 1600, 6769, 2018, 2132, 476, 271, 269, 271, 1477, 1038, 8640, 19987, 7230, 8724, 13843, 6906, 10831, 910, 476, 272, 1341, 19987, 4002, 306, 728, 26473, 1600, 281, 1948, 5319, 965, 19987, 547, 6445, 909, 824, 2427, 543, 1287, 1205, 1164, 2614, 585, 721, 1477, 2018, 2132, 476, 272, 269, 271, 1477, 1038, 3116, 281, 1948, 10112, 2541, 649, 616, 593, 1318, 2427, 269, 17438, 540, 19987, 4002, 306, 728, 610, 811, 1412, 23412, 262, 1477, 2018, 1045, 22238, 815, 2625, 5560, 3554, 4637, 4002, 306, 728, 26473, 1600, 268, 272, 267, 476, 271, 269, 276, 267, 19987, 7230, 8724, 3418, 2018, 2132, 476, 272, 910, 1045, 22238, 5897, 3698, 27353, 3799, 8029, 825, 952, 562, 2999, 476, 273, 281, 2132, 476, 272, 1477, 825, 2132, 1187, 551, 8962, 18622, 706, 576, 10857, 10033, 1535, 267, 586, 281, 1535, 265, 344, 267, 2039, 263, 273, 267, 703, 3799, 11924, 272, 264, 10142, 258, 290, 636, 11494, 5506, 540, 3478, 909, 547, 521, 18454, 609, 533, 5506, 543, 562, 8062, 1477, 3698, 2625, 4433, 267, 533, 267, 562, 8029, 825, 1535, 815, 476, 272, 910, 533, 5897, 825, 513, 815, 562, 910, 521, 1477, 825, 536, 815, 521, 1341, 476, 272, 5897, 825, 524, 815, 513, 1341, 536, 910, 476, 272, 5897, 825, 2625, 815, 476, 271, 5897, 825, 585, 795, 538, 2039, 5416, 267, 524, 1341, 476, 272, 8029, 1038, 2625, 6834, 27353, 6262, 264, 1315, 630, 2399, 3645, 27203, 12684, 2399, 3645, 6262, 18191, 4297, 1422, 1477, 3546, 2608, 1535, 1262, 329, 2608, 630, 272, 910, 1535, 264, 1262, 263, 322, 18191, 10142, 825, 2132, 2625, 24653, 5814, 942, 1477, 11034, 815, 942, 17085, 1442, 31476, 307, 815, 703, 9272, 18667, 1467, 3890, 3418, 1721, 1775, 538, 2039, 263, 272, 267, 307, 266, 272, 8029, 825, 4194, 9217, 10142, 2745, 2891, 346, 271, 348, 1984, 1047, 6948, 2668, 8971, 9230, 5503, 17085, 1442, 3890, 910, 1376, 264, 2608, 476, 1911, 271, 17903, 0, 290, 4047, 290, 16775, 815, 630, 27007, 333, 267, 562, 1341, 476, 272, 267, 562, 1341, 476, 273, 267, 562, 1341, 476, 274, 264, 585, 562, 538, 2039, 263, 271, 267, 476, 1428, 267, 476, 275, 13580, 1948, 9343, 454, 16875, 1341, 27883, 333, 267, 562, 1341, 476, 275, 267, 562, 1341, 476, 279, 267, 562, 1341, 476, 1321, 264, 585, 562, 538, 2039, 263, 275, 13580, 1948, 9587, 454, 16875, 1341, 27883, 271, 267, 476, 276, 267, 476, 1015, 267, 476, 1428, 1070, 630, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1321, 264, 8079, 1948, 32377, 7531, 3698, 512, 1112, 716, 4141, 29033, 2187, 825, 585, 2638, 538, 595, 4047, 290, 16775, 912, 1038, 952, 782, 29033, 5157, 316, 538, 18011, 302, 3299, 1412, 307, 10807, 585, 1775, 538, 2638, 2187, 2018, 2132, 1412, 302, 4465, 7055, 1038, 952, 782, 29033, 5157, 316, 538, 18011, 311, 3299, 1412, 307, 10807, 585, 1775, 538, 2638, 2187, 2018, 2132, 1412, 311, 4465, 7055, 825, 952, 1412, 9538, 538, 4604, 912, 1038, 2132, 1412, 29228, 814, 711, 6192, 7055, 825, 3116, 912, 1038, 2132, 1412, 19352, 262, 7531, 3698, 1224, 5332, 13246, 263, 1467, 2187, 825, 952, 1899, 15631, 272, 316, 2652, 1412, 315, 333, 12466, 1038, 1899, 815, 1899, 11468, 268, 272, 2639, 825, 2132, 1496, 842, 3287, 264, 585, 1535, 538, 1899, 21858, 3890, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1104, 19523, 454, 825, 2013, 18045, 815, 703, 4433, 903, 14714, 19734, 18667, 1467, 3890, 11468, 268, 272, 7481, 825, 585, 1775, 538, 2039, 263, 272, 267, 2013, 18045, 1341, 476, 272, 2187, 1038, 4604, 815, 1412, 8339, 21860, 4433, 903, 14714, 19734, 18667, 1467, 3890, 11468, 268, 272, 316, 585, 1535, 538, 2039, 263, 275, 4917, 1038, 19523, 14714, 19734, 18667, 1467, 4590, 1038, 1820, 834, 19111, 1948, 24001, 281, 15079, 2668, 8971, 9217, 267, 512, 1112, 716, 4141, 29033, 4917, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 269, 273, 454, 258, 322, 5317, 284, 7473, 293, 268, 279, 692, 18257, 692, 11386, 8943, 11918, 476, 1001, 276, 454, 304, 783, 2305, 18471, 454, 19370, 589, 454, 18958, 18958, 18958, 18958, 692, 9743, 15297, 912, 453, 577, 7116, 579, 21147, 1184, 18258, 454, 453, 32220, 15263, 18258, 2999, 6358, 18316, 3436, 16059, 18316, 454, 453, 258, 588, 1457, 337, 3977, 568, 5497, 547, 4159, 593, 513, 23641, 692, 24687, 912, 453, 265, 693, 713, 3942, 594, 6415, 711, 1256, 2386, 952, 513, 2241, 744, 18217, 264, 476, 273, 610, 476, 274, 10596, 936, 519, 5439, 568, 2614, 267, 610, 952, 621, 781, 811, 1950, 454, 453, 265, 519, 2243, 568, 281, 1281, 513, 7229, 5934, 2557, 1287, 1450, 596, 547, 13217, 707, 5934, 1297, 540, 17228, 10057, 538, 513, 2016, 8884, 267, 547, 513, 1007, 1871, 888, 453, 265, 865, 596, 5173, 1295, 10057, 829, 8884, 267, 543, 1295, 2557, 630, 1478, 718, 264, 689, 602, 267, 1287, 973, 531, 1529, 622, 1295, 10057, 1759, 593, 602, 1862, 543, 865, 593, 692, 18257, 692, 19399, 19399, 10310, 7531, 3698, 1224, 6831, 848, 263, 573, 267, 3403, 2187, 453, 301, 815, 703, 9272, 18667, 1467, 15405, 453, 338, 3263, 815, 1496, 842, 3799, 264, 585, 562, 538, 3403, 18667, 1467, 14061, 20889, 3890, 2639, 453, 16386, 7003, 4433, 3263, 264, 2652, 715, 454, 16596, 5439, 692, 3698, 4194, 6831, 848, 263, 573, 267, 2013, 2187, 453, 338, 3263, 815, 2013, 454, 28768, 453, 301, 815, 7003, 4433, 3263, 994, 28768, 453, 20135, 21223, 22760, 318, 272, 815, 476, 271, 454, 22610, 1775, 538, 2039, 263, 272, 267, 715, 2187, 453, 453, 324, 22760, 815, 3193, 263, 271, 267, 5439, 5157, 268, 272, 316, 910, 5439, 5157, 7481, 453, 453, 20135, 21223, 22760, 318, 272, 6834, 13881, 454, 28768, 453, 3433, 815, 476, 271, 454, 22610, 1775, 538, 2039, 263, 272, 267, 715, 2187, 453, 453, 324, 22760, 815, 3193, 263, 271, 267, 5439, 5157, 268, 272, 316, 910, 5439, 5157, 7481, 453, 453, 5503, 815, 476, 1015, 454, 453, 453, 2908, 3433, 815, 13881, 1315, 942, 454, 453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2736, 454, 2018, 3116, 912, 3546, 1820, 9497, 260, 338, 568, 711, 513, 4570, 3403, 1701, 260, 3403, 7272, 334, 655, 994, 25639, 454, 1038, 2813, 318, 531, 321, 636, 284, 531, 321, 636, 26028, 1679, 21234, 267, 31095, 9078, 8475, 267, 6358, 7272, 334, 2114, 994, 1038, 17626, 318, 531, 321, 636, 263, 920, 730, 318, 531, 321, 636, 2020, 1038, 1820, 3488, 265, 262, 265, 2004, 2437, 315, 333, 17812, 7806, 1637, 256, 2791, 1175, 1711, 606, 17581, 256, 3086, 596, 666, 1294, 621, 538, 1412, 26266, 366, 20069, 13644, 501, 27882, 490, 421, 505, 484, 262, 23528, 1038, 7117, 11666, 826, 284, 6358, 2891, 18208, 7117, 547, 14827, 281, 5602, 1038, 952, 7117, 11666, 826, 912, 2018, 2736, 7531, 258, 26266, 366, 20069, 13644, 501, 27882, 490, 421, 505, 484, 454, 3698, 11571, 318, 531, 321, 636, 10031, 825, 1247, 6936, 912, 1038, 1775, 284, 271, 454, 1038, 15259, 26716, 323, 597, 263, 657, 29624, 12459, 7765, 263, 657, 29624, 269, 629, 4944, 987, 3488, 9538, 1070, 262, 531, 321, 4548, 262, 4297, 567, 1948, 32517, 362, 418, 498, 373, 420, 371, 363, 23523, 482, 28996, 531, 321, 4548, 454, 1038, 11571, 318, 531, 321, 4548, 4289, 17342, 343, 585, 1535, 538, 15259, 269, 4289, 323, 597, 3488, 9538, 9385, 454, 3546, 952, 15259, 29624, 18994, 12803, 3287, 264, 543, 15259, 29624, 4732, 680, 924, 868, 3287, 25011, 272, 316, 2525, 8339, 329, 5459, 23300, 1038, 15259, 26716, 323, 597, 3488, 907, 5073, 1038, 1820, 2891, 13644, 501, 27882, 490, 421, 505, 484, 16088, 5602, 1038, 585, 11549, 4548, 4289, 538, 11571, 318, 531, 321, 4548, 4289, 912, 2018, 1775, 23785, 272, 454, 2018, 9041, 531, 321, 4548, 4289, 284, 1598, 9217, 11924, 8339, 262, 266, 531, 321, 4548, 4289, 11434, 1948, 21928, 419, 359, 501, 9463, 352, 19867, 497, 22287, 364, 19867, 478, 20069, 7511, 13644, 501, 27882, 490, 12571, 491, 22287, 499, 454, 2018, 1820, 263, 318, 531, 321, 4548, 4289, 994, 1038, 1820, 28361, 333, 5073, 1038, 795, 284, 6358, 2891, 7617, 835, 798, 596, 1616, 547, 1294, 286, 314, 336, 547, 14827, 13912, 8442, 672, 1948, 418, 509, 354, 419, 506, 489, 418, 490, 485, 27936, 7511, 13644, 501, 27882, 490, 454, 1038, 952, 795, 2525, 262, 336, 12466, 2018, 2736, 454, 1038, 2119, 912, 2018, 703, 329, 25507, 27203, 994, 2018, 952, 703, 329, 285, 284, 271, 543, 703, 329, 27045, 6352, 263, 2675, 534, 318, 531, 321, 4548, 4289, 2187, 3546, 4584, 318, 531, 321, 636, 284, 2675, 534, 318, 531, 321, 4548, 4289, 27776, 329, 268, 272, 316, 19930, 454, 3546, 13603, 318, 531, 321, 636, 284, 12584, 518, 658, 318, 531, 321, 636, 9638, 1157, 318, 531, 321, 636, 264, 4449, 476, 1948, 9463, 491, 419, 367, 375, 28578, 25060, 500, 13213, 485, 31801, 489, 454, 3546, 1820, 28361, 333, 10807, 3546, 454, 3546, 1247, 6936, 912, 7386, 1820, 3488, 265, 262, 265, 2004, 264, 3097, 7386, 942, 4732, 2748, 263, 271, 269, 276, 994, 7386, 13603, 318, 531, 321, 636, 31428, 318, 531, 321, 4548, 3890, 4449, 11434, 1948, 21928, 418, 350, 490, 30837, 351, 19867, 497, 22287, 364, 13644, 501, 27882, 490, 454, 7386, 1820, 28361, 333, 5073, 7386, 737, 284, 6358, 2891, 335, 1157, 835, 547, 1224, 314, 336, 547, 14827, 13912, 5602, 7386, 952, 737, 2525, 262, 336, 12466, 13376, 2736, 454, 7386, 2119, 912, 13376, 703, 330, 25507, 17347, 994, 13376, 4584, 318, 531, 321, 636, 7272, 334, 655, 284, 335, 17673, 318, 531, 321, 636, 4877, 334, 2114, 27776, 330, 268, 272, 2639, 13376, 13603, 318, 531, 321, 636, 7272, 334, 655, 284, 12584, 518, 658, 7272, 334, 655, 9638, 1157, 318, 531, 321, 636, 7272, 334, 655, 264, 567, 1948, 19867, 497, 19764, 478, 418, 490, 485, 27936, 13644, 501, 27882, 490, 454, 13376, 13603, 318, 531, 321, 636, 7272, 334, 655, 31428, 7272, 334, 655, 4590, 7386, 4849, 912, 13376, 1820, 2891, 260, 338, 568, 711, 513, 4570, 3403, 1701, 260, 737, 994, 1038, 4849, 912, 2018, 1820, 2891, 24001, 568, 711, 513, 4570, 3403, 1701, 269, 8971, 27203, 11723, 0, 5228, 8142, 532, 476, 1104, 24522, 692, 5035, 32655, 19368, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 22561, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 3052, 622, 815, 24522, 4590, 1038, 1582, 18667, 619, 318, 6674, 815, 24522, 4590, 1038, 1582, 18667, 619, 815, 476, 271, 692, 825, 1219, 9041, 1348, 318, 659, 638, 790, 4311, 2187, 1038, 1582, 18667, 619, 318, 6674, 28482, 638, 790, 4590, 1038, 1582, 18667, 619, 6834, 476, 272, 454, 1038, 952, 1582, 18667, 619, 2652, 476, 272, 912, 2018, 1582, 3052, 622, 28482, 638, 790, 4590, 1038, 1582, 18667, 619, 318, 6674, 18622, 3161, 10797, 825, 1219, 9041, 1348, 23631, 3161, 4311, 2187, 1038, 952, 1582, 18667, 619, 3436, 476, 271, 912, 2018, 1582, 18667, 619, 318, 6674, 28482, 638, 790, 4590, 2018, 1582, 18667, 619, 20699, 476, 272, 454, 2018, 952, 1582, 18667, 619, 2652, 476, 271, 912, 3546, 1582, 3052, 622, 18622, 3161, 4590, 2018, 1582, 18667, 619, 318, 6674, 18622, 3161, 10797, 825, 1219, 9041, 31095, 318, 659, 638, 790, 4311, 2187, 1038, 1582, 3052, 622, 28482, 638, 790, 10797, 825, 1219, 9041, 31095, 23631, 3161, 4311, 2187, 1038, 1582, 3052, 622, 18622, 3161, 10797, 825, 1219, 9337, 4311, 267, 1871, 2187, 1038, 1582, 11519, 31095, 318, 659, 638, 790, 4590, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 11519, 31095, 23631, 3161, 10797, 825, 1219, 1224, 4311, 2187, 1038, 1582, 11519, 1348, 318, 659, 638, 790, 4590, 1038, 1871, 815, 1582, 27841, 454, 1038, 1582, 11519, 1348, 23631, 3161, 4590, 1038, 2132, 1871, 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 ]
[ 267, 1100, 269, 476, 273, 630, 1001, 278, 2567, 476, 14378, 268, 3445, 269, 8222, 281, 1015, 269, 10482, 271, 270, 15150, 4037, 275, 6078, 269, 1001, 277, 269, 14695, 3374, 278, 274, 563, 268, 11709, 1546, 654, 4150, 267, 3627, 269, 16504, 543, 5664, 3427, 9119, 281, 9752, 4886, 958, 269, 476, 275, 628, 1196, 269, 12924, 267, 12924, 281, 17755, 2465, 327, 517, 267, 630, 1220, 272, 1916, 268, 4179, 2517, 4118, 560, 520, 4732, 1663, 12975, 270, 525, 7815, 27651, 21703, 270, 17572, 281, 303, 550, 7631, 657, 4732, 341, 326, 267, 3239, 267, 21657, 4689, 512, 612, 531, 725, 454, 268, 476, 1240, 269, 4179, 2517, 4178, 269, 638, 7702, 2593, 270, 1432, 28104, 7308, 268, 4067, 6361, 8584, 268, 274, 291, 454, 268, 476, 736, 269, 4179, 2517, 4178, 8807, 872, 13892, 322, 2086, 3820, 30406, 7933, 1092, 3613, 23461, 268, 6200, 268, 541, 7590, 8584, 23724, 783, 10784, 3174, 16519, 1532, 5476, 2996, 268, 278, 325, 25320, 321, 764, 28307, 320, 13045, 268, 11709, 1546, 654, 4150, 267, 808, 269, 589, 269, 16504, 543, 5664, 3427, 9119, 454, 268, 13983, 580, 267, 808, 269, 570, 12460, 538, 513, 3883, 779, 16387, 454, 268, 13983, 580, 267, 808, 269, 570, 12460, 538, 513, 3883, 779, 16387, 454, 268, 13983, 580, 267, 808, 269, 570, 12460, 538, 513, 3883, 779, 16387, 454, 268, 13983, 580, 267, 808, 269, 570, 12460, 538, 513, 3883, 779, 16387, 454, 268, 1215, 324, 267, 23011, 32309, 267, 9351, 267, 11730, 267, 543, 2353, 2334, 281, 589, 5530, 540, 20970, 269, 23171, 2160, 267, 476, 1001, 280, 454, 268, 476, 1015, 269, 20999, 267, 595, 269, 4569, 10819, 689, 9147, 12266, 14466, 344, 686, 454, 268, 717, 965, 267, 808, 269, 667, 1392, 687, 674, 30480, 16700, 935, 8526, 281, 20099, 267, 9351, 267, 543, 11730, 454, 268, 717, 965, 267, 808, 269, 667, 1392, 687, 674, 30480, 16700, 935, 8526, 281, 20099, 267, 9351, 267, 543, 11730, 454, 268, 717, 965, 267, 808, 269, 667, 1392, 687, 674, 30480, 16700, 935, 8526, 281, 20099, 267, 9351, 267, 543, 11730, 454, 268, 717, 965, 267, 808, 269, 667, 1392, 687, 674, 30480, 16700, 935, 8526, 281, 20099, 267, 9351, 267, 543, 11730, 454, 268, 32181, 1146, 267, 631, 1421, 22489, 267, 590, 1421, 18724, 332, 790, 589, 269, 4635, 28294, 592, 2510, 547, 17546, 16504, 9119, 454, 268, 18120, 749, 267, 590, 269, 1299, 1261, 6975, 267, 631, 269, 21478, 540, 5675, 31727, 543, 6156, 566, 10341, 593, 9119, 5675, 454, 268, 590, 345, 330, 644, 331, 732, 330, 267, 661, 269, 543, 5696, 27553, 267, 661, 269, 6496, 519, 20976, 1493, 7089, 3590, 31160, 607, 513, 7690, 585, 13507, 545, 9119, 888, 268, 4446, 516, 1729, 267, 667, 267, 23849, 935, 4897, 657, 267, 700, 1421, 744, 9445, 267, 631, 269, 31802, 543, 4804, 22580, 998, 29892, 4569, 11473, 10632, 454, 268, 14250, 14515, 267, 918, 269, 4635, 12267, 538, 2296, 744, 2006, 328, 15099, 454, 268, 631, 1195, 518, 6261, 871, 523, 5069, 267, 623, 269, 8794, 11724, 725, 547, 10812, 9351, 543, 32309, 454, 268, 13198, 267, 962, 269, 589, 18948, 540, 4569, 9752, 543, 4804, 538, 3624, 543, 519, 2136, 2276, 454, 268, 31293, 267, 631, 269, 1975, 698, 515, 26152, 543, 29133, 27750, 585, 2353, 256, 589, 19556, 9452, 454, 268, 31293, 267, 631, 269, 1975, 698, 515, 26152, 543, 29133, 27750, 585, 2353, 256, 589, 19556, 9452, 454, 7343, 21043, 281, 20074, 10588, 11621, 454, 1607, 6437, 1770, 814, 1044, 2966, 547, 1683, 519, 5467, 609, 5528, 593, 875, 547, 2936, 2983, 6248, 5853, 1049, 16497, 585, 2034, 998, 11359, 3446, 1053, 269, 634, 4245, 4704, 543, 15666, 547, 519, 476, 1001, 277, 11621, 540, 4804, 4481, 2854, 585, 519, 1533, 540, 9098, 563, 763, 5149, 14592, 543, 14439, 16387, 609, 513, 1808, 5834, 593, 15943, 267, 1858, 267, 543, 4320, 269, 634, 1770, 3877, 519, 11056, 540, 519, 1770, 1184, 23476, 269, 4841, 786, 4309, 4598, 547, 519, 2035, 538, 519, 1106, 540, 2110, 2984, 267, 8964, 267, 1463, 6044, 267, 607, 1134, 607, 2898, 543, 1507, 1895, 5059, 3408, 267, 543, 3946, 593, 2238, 971, 607, 519, 946, 540, 20008, 558, 3626, 525, 269, 2311, 519, 4295, 540, 1142, 2534, 267, 835, 786, 1265, 2259, 602, 10742, 519, 4170, 540, 519, 9098, 11621, 540, 4804, 269, 4841, 616, 2838, 547, 946, 17710, 543, 824, 22232, 4559, 540, 2268, 269, 3962, 2534, 3340, 519, 2875, 547, 16174, 1063, 519, 1614, 2035, 269, 1703, 616, 3875, 4247, 602, 2307, 519, 2875, 547, 1265, 519, 15943, 267, 1858, 267, 543, 4320, 799, 2882, 9488, 5717, 543, 7744, 607, 547, 1946, 835, 4542, 568, 6074, 607, 3379, 547, 1776, 563, 30952, 593, 538, 519, 1770, 267, 1053, 1491, 519, 1983, 789, 723, 9715, 1282, 519, 1770, 547, 1287, 4019, 543, 4483, 741, 1702, 269, 2311, 602, 1448, 789, 786, 946, 4928, 3615, 543, 5924, 1711, 3615, 585, 3606, 3408, 540, 799, 789, 616, 4280, 547, 2899, 1586, 1265, 519, 15943, 267, 1858, 267, 543, 4320, 563, 5472, 4247, 602, 723, 1044, 5018, 267, 2232, 267, 2743, 267, 543, 15666, 547, 782, 540, 519, 11621, 540, 4804, 585, 9098, 269, 634, 1770, 779, 14292, 2409, 543, 2238, 602, 594, 723, 6964, 585, 15943, 267, 1858, 267, 543, 4320, 786, 6961, 547, 581, 4277, 547, 1250, 1053, 267, 2943, 2154, 741, 4557, 13369, 267, 711, 1152, 538, 1931, 547, 11886, 519, 9098, 9208, 540, 4804, 4170, 267, 855, 849, 547, 2743, 1250, 6788, 563, 8025, 3198, 298, 9358, 2443, 707, 5955, 568, 1360, 1271, 547, 721, 256, 12315, 24720, 0, 268, 12387, 30036, 514, 2443, 11895, 5721, 630, 12626, 994, 268, 589, 5721, 585, 6283, 540, 1004, 267, 6140, 9944, 519, 2627, 540, 519, 2666, 267, 538, 1931, 547, 24390, 519, 6808, 563, 9596, 875, 547, 2161, 834, 8974, 3033, 5721, 257, 538, 824, 4654, 912, 289, 12864, 938, 8675, 454, 8340, 824, 4277, 1913, 538, 2279, 27996, 753, 543, 2296, 676, 19855, 998, 938, 8675, 281, 0, 9213, 267, 5181, 476, 1015, 267, 568, 2622, 2672, 8336, 10644, 4303, 269, 901, 1554, 267, 22885, 676, 519, 4139, 5948, 585, 2672, 8336, 10644, 267, 6663, 547, 3142, 4656, 547, 519, 1082, 2729, 4503, 12422, 547, 11980, 543, 875, 649, 1522, 948, 2569, 713, 1297, 563, 1103, 519, 5177, 267, 519, 7194, 616, 1989, 574, 269, 2672, 8336, 568, 519, 3056, 2014, 540, 2669, 585, 2367, 896, 476, 3393, 543, 538, 4789, 543, 12986, 267, 519, 11980, 2557, 585, 2021, 896, 519, 2085, 540, 476, 1839, 814, 24111, 676, 5176, 476, 11463, 260, 538, 519, 2063, 5722, 1296, 269, 1924, 950, 649, 2911, 827, 968, 24175, 8336, 6604, 892, 1018, 798, 649, 1611, 286, 1215, 666, 649, 267, 607, 513, 2486, 2569, 11980, 888, 20055, 547, 2569, 29047, 16663, 454, 22296, 8336, 3801, 15000, 1419, 3068, 7759, 545, 2544, 543, 17847, 1310, 17005, 513, 11980, 3801, 269, 1358, 616, 1419, 5143, 789, 941, 968, 322, 11538, 18896, 892, 610, 968, 3430, 1549, 5498, 22701, 1848, 901, 2186, 540, 2911, 568, 11342, 711, 1152, 538, 9263, 2516, 543, 3885, 855, 849, 8710, 5944, 2501, 689, 3782, 4648, 945, 616, 9901, 609, 519, 1416, 540, 1346, 945, 723, 13986, 11980, 563, 3080, 18802, 2982, 602, 609, 1762, 1004, 267, 585, 1169, 476, 1220, 8942, 972, 568, 835, 11980, 269, 901, 1797, 602, 649, 991, 547, 581, 2921, 1169, 3801, 12517, 269, 8409, 945, 723, 15068, 513, 11980, 3801, 991, 1416, 543, 8296, 267, 711, 27790, 610, 7759, 545, 2544, 269, 1284, 991, 547, 2327, 649, 616, 6947, 547, 1346, 945, 616, 10010, 543, 547, 711, 8998, 6000, 543, 938, 4606, 950, 6340, 609, 6068, 3283, 827, 11980, 563, 2171, 28297, 621, 547, 1346, 649, 1416, 827, 547, 1491, 741, 2790, 1072, 12517, 269, 2672, 8336, 8942, 616, 711, 726, 9081, 585, 3007, 267, 789, 616, 1419, 1835, 625, 585, 948, 269, 8058, 1346, 596, 1416, 827, 602, 596, 616, 6947, 543, 4734, 707, 27790, 693, 519, 7450, 563, 10673, 1406, 581, 12922, 547, 2911, 827, 621, 454, 2467, 568, 513, 7242, 602, 952, 649, 2911, 827, 11980, 267, 649, 2333, 519, 10171, 540, 11980, 269, 1717, 267, 972, 568, 1100, 2963, 547, 1394, 713, 909, 269, 769, 1249, 267, 6158, 827, 1582, 3620, 1301, 543, 11980, 666, 2965, 2569, 519, 1981, 540, 29047, 1361, 566, 610, 606, 3801, 563, 2005, 779, 1271, 547, 948, 1004, 547, 1745, 2922, 950, 789, 3717, 609, 596, 269, 2334, 596, 711, 581, 15372, 626, 610, 2161, 1919, 899, 267, 968, 9767, 2461, 1085, 2130, 803, 5608, 952, 2576, 1281, 2671, 602, 789, 616, 2348, 4555, 540, 11980, 269, 2913, 1004, 917, 596, 616, 972, 547, 1489, 873, 543, 2119, 711, 547, 1118, 1022, 21520, 269, 1403, 596, 616, 4743, 899, 596, 616, 711, 519, 1655, 1268, 547, 3717, 609, 267, 621, 779, 2141, 15528, 547, 3277, 2576, 547, 513, 11980, 3905, 1467, 610, 2790, 1072, 3318, 563, 6826, 931, 2615, 1190, 538, 707, 4205, 593, 1514, 2923, 454, 3080, 1259, 649, 666, 782, 948, 2149, 1142, 824, 779, 2790, 1072, 568, 547, 2327, 649, 616, 1373, 2186, 547, 1142, 824, 2228, 269, 898, 779, 1455, 547, 1205, 20714, 539, 610, 21616, 609, 930, 540, 519, 8369, 543, 9708, 596, 1522, 1294, 593, 12108, 610, 9365, 267, 855, 32222, 547, 4431, 610, 2746, 568, 835, 1259, 596, 666, 16102, 707, 1378, 2790, 1072, 607, 1134, 607, 519, 2790, 1072, 540, 1866, 563, 8170, 1576, 267, 1514, 2923, 3884, 1406, 782, 3983, 267, 855, 519, 1883, 547, 5329, 3054, 2922, 568, 1210, 1514, 2923, 931, 2615, 13124, 269, 2986, 1576, 267, 596, 1810, 1406, 723, 547, 3858, 609, 3388, 1004, 2022, 267, 855, 1373, 16496, 827, 875, 596, 4497, 568, 1883, 269, 1703, 616, 536, 1824, 543, 512, 2651, 338, 856, 972, 2870, 1543, 2966, 547, 4870, 877, 4664, 543, 2014, 1928, 267, 2523, 693, 713, 13778, 942, 538, 1686, 269, 5213, 1406, 1491, 519, 536, 7159, 2336, 306, 3832, 7191, 942, 2476, 689, 707, 6049, 547, 1491, 513, 3802, 610, 9505, 1055, 707, 15291, 543, 1205, 12758, 883, 513, 1433, 585, 513, 3787, 547, 2327, 596, 723, 519, 942, 543, 2230, 547, 10920, 12304, 1310, 12675, 5496, 942, 563, 6826, 17519, 538, 707, 4205, 609, 1866, 454, 2171, 917, 711, 782, 1919, 649, 1294, 593, 1514, 2923, 616, 1483, 267, 855, 519, 1004, 596, 2097, 883, 3346, 609, 1142, 1554, 616, 269, 1284, 782, 991, 547, 581, 811, 3222, 540, 875, 938, 1648, 543, 7180, 666, 1764, 1866, 563, 307, 11661, 1004, 609, 11587, 1058, 711, 581, 513, 4161, 267, 855, 621, 666, 581, 3006, 269, 634, 15864, 1259, 547, 1376, 568, 676, 3843, 547, 11349, 8296, 585, 3054, 269, 6423, 3054, 607, 1480, 543, 30096, 543, 917, 602, 596, 616, 3257, 707, 1655, 269, 3767, 2119, 543, 8831, 713, 4743, 547, 1346, 1472, 596, 269, 634, 1268, 945, 1175, 2759, 596, 1055, 593, 519, 4155, 267, 519, 18560, 602, 4769, 1406, 3180, 519, 7450, 585, 596, 267, 519, 4807, 693, 960, 602, 2879, 889, 5523, 596, 538, 519, 5870, 269, 2353, 540, 891, 2043, 616, 2527, 1947, 30096, 3425, 899, 596, 269, 4634, 952, 596, 1810, 1406, 3494, 713, 267, 2119, 543, 1589, 547, 3054, 602, 789, 616, 3257, 519, 1655, 789, 666, 563, 1607, 568, 711, 547, 2161, 596, 1058, 1450, 1004, 547, 6057, 610, 5134, 805, 596, 267, 855, 649, 782, 723, 547, 1174, 602, 649, 616, 2189, 267, 4190, 543, 2027, 543, 1175, 1317, 649, 1131, 6023, 513, 3510, 835, 1259, 610, 798, 1945, 513, 1978, 1259, 3085, 1406, 1611, 3025, 786, 269, 634, 811, 649, 1294, 1004, 607, 1175, 1004, 543, 519, 1447, 649, 9794, 267, 519, 811, 16990, 938, 4205, 609, 1866, 786, 581, 543, 513, 811, 17519, 1158, 649, 3580, 782, 2661, 538, 563, 28403, 1047, 519, 9963, 4191, 543, 1491, 873, 12517, 454, 2252, 2576, 596, 917, 814, 1831, 32585, 610, 568, 5248, 908, 873, 1345, 267, 610, 952, 596, 5469, 513, 1689, 538, 7180, 267, 3717, 609, 873, 827, 621, 269, 1306, 649, 4076, 2907, 5941, 267, 6158, 827, 1919, 3085, 1406, 1118, 873, 8338, 269, 1403, 2576, 596, 917, 610, 2648, 12909, 827, 11980, 267, 1491, 873, 12517, 269, 20644, 547, 948, 873, 1265, 1489, 543, 1810, 1406, 1745, 899, 596, 723, 547, 6023, 782, 540, 713, 593, 707, 1378, 563, 15447, 596, 616, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 547, 476, 276, 1296, 2025, 7318, 2063, 1032, 941, 595, 310, 291, 25698, 563, 308, 1186, 14653, 281, 595, 1638, 532, 13650, 568, 5667, 822, 800, 269, 1809, 621, 779, 519, 1655, 1851, 3681, 547, 26193, 595, 310, 291, 563, 291, 3754, 3217, 17167, 454, 4002, 513, 2487, 1554, 267, 6754, 661, 327, 6352, 540, 519, 3828, 514, 20079, 543, 594, 267, 2059, 609, 930, 2828, 267, 554, 27419, 513, 3296, 540, 2244, 1634, 547, 581, 1434, 32176, 9586, 2197, 267, 827, 28870, 1063, 27508, 543, 24839, 267, 590, 6185, 563, 763, 5017, 4769, 1406, 14922, 269, 7316, 591, 649, 4553, 938, 2468, 334, 540, 6997, 2784, 832, 267, 2436, 883, 8970, 267, 2113, 334, 610, 6371, 267, 887, 739, 619, 3576, 13617, 609, 10205, 267, 12394, 547, 9101, 883, 606, 11995, 31403, 6607, 563, 10214, 538, 513, 1032, 950, 3162, 21241, 779, 5017, 616, 1524, 513, 3787, 267, 519, 2962, 729, 1434, 267, 607, 1522, 581, 4397, 538, 519, 4182, 779, 2063, 1655, 1747, 585, 32176, 9586, 10122, 563, 1432, 7012, 1406, 4397, 941, 519, 4666, 13650, 649, 1336, 281, 513, 19625, 610, 865, 538, 513, 6640, 779, 942, 7192, 1752, 563, 5278, 1286, 322, 13293, 941, 3368, 3887, 22760, 676, 31352, 4925, 269, 11524, 941, 30832, 1194, 900, 659, 7007, 543, 513, 330, 574, 2692, 538, 1244, 11306, 602, 538, 811, 3339, 13247, 1296, 1131, 723, 4371, 1216, 563, 8253, 713, 1032, 267, 950, 513, 5176, 4832, 17489, 10980, 7173, 9229, 2066, 3162, 21241, 269, 2290, 3659, 540, 9553, 267, 538, 1249, 267, 945, 2729, 2282, 13690, 4252, 267, 590, 6185, 1421, 1767, 4764, 729, 15534, 538, 1010, 1858, 476, 3583, 2395, 2786, 563, 1103, 602, 1612, 3481, 1604, 267, 513, 6263, 544, 3805, 267, 610, 17079, 267, 602, 11438, 3134, 714, 2393, 545, 20178, 20723, 2068, 267, 610, 661, 8461, 267, 7139, 11717, 730, 2443, 607, 1705, 519, 1297, 540, 13650, 3787, 1084, 676, 519, 2370, 1814, 1562, 563, 2026, 540, 4571, 9539, 4912, 267, 519, 3162, 21241, 10794, 267, 12551, 543, 20088, 4972, 6592, 476, 273, 267, 6187, 272, 13650, 2443, 5097, 17642, 564, 5661, 2443, 7166, 676, 661, 8461, 269, 634, 1297, 568, 5156, 676, 1082, 547, 581, 513, 6824, 540, 519, 2698, 1297, 540, 3162, 21241, 17642, 564, 5661, 535, 8215, 676, 661, 8461, 563, 13349, 569, 267, 661, 8461, 568, 5219, 547, 607, 4544, 11469, 2068, 269, 1809, 519, 8290, 602, 2014, 519, 1079, 3413, 12787, 687, 4268, 5594, 563, 5719, 518, 7092, 689, 661, 8461, 666, 5884, 1369, 835, 547, 1614, 2395, 269, 1809, 930, 7639, 3476, 269, 10705, 741, 9843, 543, 683, 4242, 2220, 749, 267, 543, 789, 723, 8373, 7244, 269, 674, 1197, 3217, 3180, 543, 789, 1831, 13204, 3603, 2443, 799, 568, 1946, 588, 4459, 523, 13650, 4749, 5884, 2282, 1216, 563, 29995, 267, 3003, 31459, 5749, 1406, 530, 21317, 856, 269, 4934, 3691, 6545, 1419, 1860, 1447, 982, 513, 10116, 540, 13650, 538, 606, 1858, 1141, 519, 23142, 4571, 2471, 2291, 563, 19284, 595, 310, 291, 267, 799, 666, 581, 3262, 538, 606, 7783, 13650, 779, 19975, 543, 824, 12862, 267, 519, 3968, 2557, 540, 20178, 20723, 2068, 3884, 1406, 1644, 547, 3662, 5860, 269, 1924, 524, 1638, 532, 513, 23636, 547, 2061, 922, 3262, 3884, 1406, 2944, 563, 26170, 267, 10122, 12405, 1419, 616, 1225, 339, 9229, 547, 8190, 2635, 2831, 563, 2108, 5978, 8257, 814, 15527, 547, 891, 9271, 676, 9427, 782, 31629, 1884, 2401, 1652, 13650, 27121, 538, 476, 1015, 10122, 4559, 689, 519, 5101, 5211, 13650, 4005, 543, 689, 1079, 10122, 4559, 689, 519, 4639, 5211, 13650, 4005, 2223, 1767, 932, 611, 4210, 12688, 540, 519, 3162, 21241, 10794, 267, 12551, 543, 20088, 4972, 563, 763, 1434, 3377, 689, 3162, 21241, 630, 321, 8842, 519, 32176, 553, 1218, 2567, 2060, 519, 12625, 540, 4411, 4365, 267, 519, 4571, 2471, 723, 20374, 563, 10214, 1732, 281, 1280, 8726, 2601, 267, 661, 8461, 18387, 1406, 2943, 12735, 4240, 16506, 13650, 563, 3383, 267, 1256, 609, 519, 6602, 538, 16506, 630, 28785, 264, 540, 595, 310, 291, 267, 543, 1256, 1498, 519, 667, 24520, 568, 4058, 547, 524, 1638, 519, 22703, 779, 13650, 23636, 267, 1413, 693, 621, 713, 1259, 912, 28830, 1223, 581, 8338, 269, 0, 5804, 519, 4571, 268, 866, 628, 2540, 267, 30490, 1620, 27636, 593, 1585, 18651, 1206, 269, 2048, 14503, 822, 2293, 540, 23289, 685, 15109, 824, 2127, 971, 607, 11186, 23289, 267, 15821, 23289, 267, 543, 2036, 13541, 658, 23289, 269, 2983, 6248, 23289, 7255, 7252, 543, 8057, 856, 540, 519, 960, 540, 25586, 267, 631, 7238, 321, 3780, 267, 681, 22044, 2335, 267, 543, 1866, 269, 4937, 23289, 729, 811, 10763, 543, 13654, 538, 2470, 282, 670, 9476, 323, 528, 742, 729, 922, 1034, 1713, 28738, 3218, 543, 922, 2208, 8272, 549, 1042, 824, 4909, 960, 1373, 2944, 538, 1305, 3069, 269, 634, 3184, 12857, 519, 4552, 344, 3440, 11532, 267, 543, 519, 960, 540, 1390, 3943, 22301, 543, 21997, 28741, 7313, 4532, 541, 2946, 267, 799, 814, 1044, 22759, 3585, 4359, 936, 519, 2063, 2540, 267, 1818, 15821, 23289, 513, 2101, 6249, 540, 2413, 6128, 269, 0, 16631, 11545, 5359, 602, 811, 982, 476, 275, 1240, 267, 1822, 1004, 538, 8370, 3864, 2477, 941, 11567, 585, 29769, 545, 8482, 543, 20178, 20723, 8482, 14384, 563, 13775, 538, 519, 3864, 9839, 4750, 267, 519, 1353, 1336, 602, 1247, 2362, 703, 1389, 540, 4829, 267, 5388, 267, 6775, 267, 5144, 267, 10381, 610, 18506, 941, 1142, 5532, 547, 513, 2539, 1981, 540, 29769, 545, 8482, 267, 972, 729, 1100, 1713, 7681, 609, 513, 2539, 1981, 540, 20178, 20723, 8482, 269, 1717, 267, 3152, 4616, 540, 5798, 729, 2404, 609, 513, 2362, 1981, 540, 20178, 20723, 8482, 855, 711, 609, 29769, 545, 8482, 563, 29128, 1631, 267, 3163, 11545, 11339, 267, 1034, 2090, 723, 6743, 693, 519, 7681, 1063, 1426, 543, 782, 2010, 540, 8482, 5916, 267, 610, 5059, 593, 29769, 545, 8482, 1152, 563, 1805, 6593, 568, 519, 2034, 3056, 2014, 540, 7972, 5001, 269, 3220, 269, 570, 20632, 26280, 267, 519, 1101, 2278, 540, 519, 1957, 543, 513, 9422, 16917, 328, 6048, 693, 519, 715, 4428, 1752, 4972, 540, 15510, 2657, 267, 2160, 540, 10228, 630, 308, 14389, 13776, 1767, 267, 834, 763, 1034, 1271, 4466, 568, 602, 2362, 4616, 540, 1312, 8192, 6775, 543, 4829, 543, 5388, 729, 9244, 2404, 609, 2539, 4220, 540, 29769, 545, 8482, 267, 799, 7028, 1699, 3864, 4808, 269, 634, 2489, 1857, 1058, 581, 5227, 547, 2333, 741, 6775, 543, 4829, 543, 10448, 4616, 952, 789, 616, 711, 2907, 5870, 891, 4808, 3034, 763, 2698, 2179, 540, 6775, 630, 10175, 6775, 689, 4829, 267, 5388, 267, 23611, 267, 22053, 267, 10808, 543, 5452, 264, 602, 1004, 17696, 729, 2404, 609, 519, 6574, 1761, 5786, 538, 519, 1981, 540, 29769, 545, 8482, 269, 5272, 476, 1015, 10101, 811, 6981, 540, 6775, 513, 1554, 729, 2404, 609, 513, 476, 2537, 260, 2539, 1981, 563, 293, 8816, 543, 5388, 4805, 941, 2404, 609, 513, 476, 1724, 260, 2539, 1981, 585, 1169, 476, 1220, 10101, 13881, 513, 1554, 563, 763, 3864, 5980, 540, 9315, 5735, 630, 2464, 290, 264, 543, 519, 2622, 2657, 9257, 13636, 8433, 585, 2342, 4363, 10438, 693, 2547, 476, 6110, 10101, 540, 4829, 543, 5388, 513, 1554, 282, 519, 11536, 290, 849, 5267, 1004, 1058, 8532, 476, 1789, 268, 3393, 10101, 540, 6775, 513, 1554, 269, 0, 2791, 723, 606, 12808, 1297, 540, 519, 1739, 1079, 4874, 558, 3626, 525, 912, 288, 589, 589, 8150, 288, 454, 2791, 616, 10691, 4847, 547, 17967, 873, 563, 2791, 616, 2016, 513, 21642, 3148, 602, 4564, 513, 14328, 3349, 4904, 609, 3197, 1412, 9538, 543, 1412, 311, 8339, 634, 795, 6253, 1915, 540, 519, 1775, 6253, 3693, 540, 3148, 4564, 519, 1591, 693, 4737, 1775, 267, 6241, 795, 540, 519, 3349, 563, 2791, 991, 547, 3382, 630, 23719, 20718, 264, 782, 519, 1412, 311, 262, 3197, 609, 519, 2016, 4874, 558, 3626, 525, 269, 17776, 513, 21642, 602, 3568, 519, 1482, 1858, 609, 2281, 6825, 1412, 9538, 2451, 2150, 31189, 267, 543, 2281, 6825, 1412, 311, 262, 4957, 547, 1412, 288, 262, 610, 1412, 289, 3299, 2687, 547, 519, 4874, 558, 3626, 602, 6227, 519, 1591, 563, 2252, 972, 568, 1100, 3070, 267, 2132, 606, 8900, 21642, 563, 2252, 972, 616, 2789, 3435, 267, 2132, 519, 835, 1851, 873, 602, 2501, 1101, 682, 13877, 25140, 269, 2334, 568, 267, 596, 1590, 7413, 519, 1101, 5569, 267, 952, 972, 616, 1869, 1896, 3435, 267, 7413, 519, 2034, 835, 267, 543, 865, 593, 563, 347, 268, 1475, 288, 5569, 590, 568, 3152, 982, 513, 5569, 570, 682, 13877, 25140, 952, 570, 568, 513, 1697, 18772, 540, 590, 267, 610, 952, 590, 814, 513, 3152, 1915, 693, 519, 1101, 2990, 1141, 519, 12673, 8428, 8198, 347, 268, 1475, 2958, 542, 786, 2270, 1063, 476, 272, 543, 476, 2004, 2609, 267, 8537, 8198, 347, 268, 1475, 10376, 3693, 540, 3148, 786, 2270, 1063, 476, 272, 543, 476, 2004, 3197, 267, 8537, 8198, 347, 268, 1475, 5472, 2609, 540, 3148, 786, 2270, 519, 1482, 1297, 540, 3197, 8198, 347, 268, 1475, 10376, 1915, 538, 1142, 3693, 540, 3148, 786, 581, 2901, 1412, 9538, 610, 26627, 27664, 1412, 311, 8339, 347, 0, 7197, 540, 1131, 723, 544, 684, 3481, 513, 19625, 540, 30637, 270, 3033, 22756, 538, 938, 6689, 543, 3136, 547, 798, 865, 607, 4079, 269, 10162, 16556, 267, 6428, 1540, 610, 23017, 282, 13881, 538, 1022, 1259, 621, 2306, 513, 1434, 15165, 585, 519, 10543, 2053, 563, 3719, 267, 6306, 689, 1175, 1373, 513, 15165, 267, 798, 596, 917, 602, 3212, 534, 7491, 666, 2061, 513, 1268, 689, 519, 1981, 540, 3478, 2295, 3676, 286, 3367, 593, 547, 917, 811, 269, 2467, 616, 1082, 1072, 1532, 523, 9026, 538, 10438, 621, 269, 898, 568, 519, 1297, 835, 2707, 540, 3940, 267, 6171, 661, 267, 13101, 267, 1165, 5573, 267, 7601, 543, 2415, 24100, 269, 5525, 1500, 676, 3173, 1397, 602, 30637, 616, 3730, 585, 1346, 945, 6999, 547, 6336, 2597, 563, 4910, 792, 2583, 1397, 602, 1346, 945, 17696, 2666, 22756, 941, 1447, 2693, 547, 5884, 540, 2295, 18116, 543, 3676, 269, 6145, 824, 10808, 267, 30637, 666, 948, 538, 16715, 3983, 8501, 543, 849, 2569, 6553, 602, 3123, 2295, 3676, 563, 763, 12192, 645, 274, 538, 2666, 22756, 20674, 538, 3339, 2634, 8647, 543, 849, 11226, 538, 20993, 3965, 1379, 269, 1924, 4758, 707, 3214, 513, 19625, 1131, 581, 1434, 269, 1809, 3214, 949, 4782, 26265, 547, 713, 267, 543, 538, 971, 14026, 267, 3079, 540, 24494, 669, 4377, 919, 267, 2285, 873, 513, 24113, 3046, 563, 294, 1037, 22756, 666, 2061, 11829, 18429, 269, 898, 814, 1044, 1336, 602, 2367, 945, 1185, 476, 276, 610, 811, 4559, 540, 10808, 538, 513, 3018, 1185, 513, 4389, 1981, 540, 7086, 7723, 2068, 543, 2021, 945, 1185, 476, 276, 610, 811, 4559, 540, 10808, 538, 513, 3018, 1185, 513, 22485, 1981, 540, 7086, 15485, 8851, 563, 25519, 1081, 281, 2368, 1004, 949, 581, 13027, 547, 1978, 1826, 540, 10808, 602, 2882, 30637, 269, 14171, 811, 30637, 982, 519, 3339, 6700, 2179, 1223, 849, 1860, 519, 1072, 2783, 269, 11408, 1246, 519, 10815, 568, 2859, 1826, 282, 543, 849, 2638, 609, 707, 4387, 2436, 596, 616, 13027, 547, 2666, 22756, 0, 17843, 9537, 540, 4469, 21320, 19204, 454, 22746, 2596, 2188, 607, 1702, 540, 7777, 2497, 267, 3114, 556, 698, 757, 267, 9063, 540, 1984, 1216, 267, 17870, 5860, 267, 2837, 267, 3267, 7756, 9537, 540, 4469, 21320, 19204, 563, 293, 14309, 566, 661, 4471, 345, 4469, 21320, 10406, 454, 4596, 299, 9331, 301, 18919, 5588, 9569, 570, 22379, 29313, 4629, 309, 2464, 32745, 2207, 3201, 11550, 27021, 269, 28758, 29404, 2281, 941, 5189, 547, 519, 2344, 1747, 827, 13977, 3516, 454, 7072, 547, 25115, 14409, 4258, 341, 1258, 29928, 454, 7072, 547, 25115, 14409, 269, 3267, 8389, 628, 29404, 2281, 269, 634, 1184, 540, 8389, 628, 29404, 14122, 11493, 543, 8860, 519, 7626, 547, 513, 5386, 2450, 563, 293, 14309, 566, 19204, 25115, 14409, 1299, 5450, 718, 21395, 454, 18404, 718, 17790, 12474, 293, 14309, 566, 19204, 538, 25115, 14409, 8138, 5025, 4469, 21320, 19204, 538, 4856, 4592, 633, 27989, 8138, 5025, 4469, 21320, 19204, 294, 1778, 7468, 514, 3321, 540, 20491, 4429, 272, 31530, 628, 4469, 21320, 27284, 14362, 454, 293, 549, 628, 29404, 568, 513, 1434, 1383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 258, 476, 272, 17276, 487, 497, 22287, 364, 28982, 454, 2745, 2891, 31435, 15419, 258, 476, 273, 17276, 487, 497, 22287, 364, 476, 12916, 510, 417, 354, 377, 454, 2745, 3488, 12916, 510, 417, 354, 377, 17210, 258, 476, 274, 17276, 487, 497, 22287, 364, 1911, 23521, 350, 12916, 510, 417, 354, 377, 454, 1721, 1775, 538, 2039, 263, 271, 267, 1911, 2187, 825, 1820, 2891, 12916, 510, 417, 354, 377, 15419, 258, 476, 275, 17276, 487, 497, 22287, 364, 272, 28996, 1911, 454, 1721, 1775, 538, 2039, 263, 272, 267, 6200, 2187, 825, 1820, 9217, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 271, 268, 6021, 268, 6734, 476, 866, 281, 7367, 454, 258, 7711, 12041, 476, 2433, 905, 328, 269, 2993, 340, 692, 3698, 9258, 24552, 9272, 2187, 825, 1948, 20881, 504, 13213, 485, 419, 358, 374, 21550, 376, 16533, 484, 21211, 31033, 4970, 366, 26166, 421, 504, 498, 31033, 8147, 16533, 484, 12571, 482, 14748, 22287, 499, 13644, 491, 26166, 421, 504, 498, 20992, 28578, 23989, 454, 825, 3403, 24552, 815, 3403, 21858, 2891, 834, 2020, 825, 3403, 24552, 815, 3403, 24552, 15631, 272, 15311, 268, 272, 6540, 825, 3977, 815, 834, 834, 269, 21860, 9272, 24552, 994, 825, 2132, 3977, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3403, 815, 1412, 328, 899, 2196, 334, 984, 7055, 825, 678, 342, 815, 9258, 24552, 9272, 994, 825, 1820, 16868, 342, 9239, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 272, 268, 6349, 268, 2641, 476, 1015, 281, 2641, 454, 258, 7711, 12041, 476, 2433, 905, 328, 269, 2993, 340, 692, 258, 476, 11590, 489, 10524, 370, 454, 18411, 419, 374, 379, 31801, 489, 25426, 368, 20881, 504, 32517, 350, 454, 18257, 692, 5814, 8142, 532, 267, 942, 692, 5035, 645, 1601, 263, 628, 15105, 269, 1320, 1348, 2187, 825, 1219, 2196, 4311, 2187, 1038, 1820, 2891, 289, 5308, 306, 281, 476, 10524, 492, 27064, 364, 21928, 19764, 478, 417, 356, 489, 16533, 365, 28884, 4200, 277, 29072, 8147, 418, 361, 351, 417, 495, 376, 12571, 356, 5602, 1038, 1948, 476, 11590, 489, 10524, 370, 18777, 378, 419, 377, 362, 454, 1038, 1820, 16216, 1203, 18994, 13729, 15405, 1038, 2680, 15630, 4590, 1038, 942, 4732, 2748, 263, 274, 994, 1038, 1820, 2891, 289, 5308, 306, 281, 13127, 353, 356, 14395, 370, 23946, 366, 14395, 490, 29072, 8147, 21251, 4200, 277, 29072, 5602, 1038, 1820, 16216, 1203, 18994, 13729, 15405, 1038, 2680, 15630, 10797, 5035, 4518, 518, 263, 628, 15105, 269, 1320, 1348, 2187, 825, 1219, 2196, 4311, 2187, 1038, 2680, 9884, 7159, 4590, 1038, 1820, 2891, 13480, 518, 281, 13127, 495, 377, 420, 489, 355, 5602, 1038, 2680, 269, 27234, 4590, 1038, 2680, 9884, 7159, 4590, 1038, 1820, 2891, 13480, 518, 281, 19315, 9493, 1695, 8627, 10590, 9239, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 2680, 815, 8142, 532, 9950, 1203, 10797, 825, 16060, 815, 11713, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 16060, 6910, 263, 13480, 518, 31156, 825, 16060, 6910, 16360, 1601, 31156, 825, 585, 512, 538, 16060, 912, 1038, 512, 269, 11034, 4590, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 272, 268, 4905, 268, 736, 476, 1428, 281, 4029, 454, 258, 7711, 12041, 476, 2433, 905, 328, 269, 2993, 340, 692, 5228, 705, 322, 1104, 13235, 300, 9508, 267, 629, 5724, 24709, 692, 5035, 12287, 912, 825, 1219, 30775, 272, 4311, 2187, 1038, 1780, 692, 825, 1948, 476, 9463, 502, 19404, 493, 454, 825, 2012, 815, 834, 2738, 17304, 4840, 825, 2085, 815, 476, 1911, 876, 692, 825, 1948, 22614, 365, 375, 26175, 479, 20069, 9463, 502, 19404, 493, 454, 825, 6449, 1440, 10675, 318, 16911, 815, 834, 1440, 10675, 5016, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1948, 1820, 4311, 20508, 994, 1038, 1948, 1820, 4311, 269, 720, 2020, 825, 1219, 1205, 318, 1440, 10675, 318, 16911, 4311, 2187, 1038, 2132, 1582, 14857, 1440, 10675, 318, 16911, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 1250, 14067, 1738, 8548, 1385, 10031, 1038, 1820, 2891, 30837, 503, 26233, 479, 25913, 25622, 257, 9239, 335, 815, 12287, 2891, 331, 325, 2580, 476, 1911, 994, 2745, 9638, 20508, 994, 2745, 9638, 269, 720, 994, 2745, 9638, 10947, 318, 1440, 10675, 318, 16911, 15405, 31094, 269, 3240, 14067, 1738, 8548, 1385, 4590, 335, 269, 3240, 14067, 1738, 8548, 1385, 3890, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 271, 268, 6021, 268, 6860, 476, 6021, 281, 1724, 454, 258, 7711, 12041, 476, 2433, 905, 328, 269, 2993, 340, 692, 320, 815, 476, 2641, 454, 321, 815, 476, 1015, 454, 322, 815, 476, 271, 692, 322, 815, 513, 1341, 536, 454, 2745, 2891, 272, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 322, 815, 513, 910, 536, 454, 2745, 2891, 273, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 322, 815, 513, 2608, 536, 454, 2745, 2891, 274, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 322, 815, 513, 1315, 536, 454, 2745, 2891, 275, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 322, 815, 513, 4939, 536, 454, 2745, 2891, 276, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 258, 476, 32517, 362, 418, 498, 373, 320, 267, 536, 267, 524, 7511, 29219, 454, 320, 815, 476, 273, 454, 321, 815, 476, 274, 454, 322, 815, 476, 273, 2878, 476, 274, 454, 2745, 2891, 277, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 320, 815, 476, 1015, 454, 321, 815, 476, 276, 454, 322, 815, 513, 2260, 321, 454, 2745, 2891, 278, 910, 524, 476, 7511, 29219, 20992, 16088, 2580, 524, 2020, 0, 5814, 20956, 273, 1477, 5814, 28184, 5793, 607, 28184, 1948, 17569, 720, 799, 568, 1031, 585, 2870, 1368, 328, 1477, 5674, 324, 6831, 2444, 1228, 815, 20956, 273, 5861, 2444, 1228, 12218, 8595, 3488, 3873, 2117, 2444, 1228, 318, 5674, 324, 11859, 6447, 10807, 1948, 22107, 1228, 1477, 10818, 585, 3750, 7020, 23228, 2183, 6831, 2444, 1228, 815, 1477, 29764, 273, 5861, 2444, 1228, 12218, 8595, 3488, 3873, 2117, 2444, 1228, 6958, 30613, 2183, 318, 29239, 11859, 6447, 10807, 1948, 22107, 1228, 1477, 10818, 585, 3068, 7020, 23228, 258, 1607, 1599, 30397, 4064, 543, 3068, 538, 513, 1869, 3239, 23228, 3698, 3239, 19547, 1254, 28399, 19112, 815, 20956, 273, 269, 574, 1348, 2891, 29582, 27970, 14744, 29764, 273, 269, 574, 19651, 3488, 24314, 3299, 19112, 3418, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 19112, 22698, 341, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 3418, 5674, 525, 815, 3750, 6831, 2444, 1228, 6155, 25018, 25648, 306, 7051, 14116, 2001, 267, 29173, 15542, 528, 815, 1477, 272, 269, 272, 267, 2381, 10468, 662, 26092, 815, 476, 736, 3418, 5865, 815, 1477, 2183, 6831, 2444, 1228, 6155, 25018, 25648, 306, 7051, 14116, 2001, 267, 29173, 15542, 528, 284, 272, 269, 272, 267, 2381, 10468, 662, 26092, 815, 476, 280, 10142, 1721, 1535, 11971, 267, 342, 267, 327, 538, 4064, 6769, 19112, 815, 20956, 273, 269, 5550, 4120, 263, 19112, 267, 263, 343, 11971, 32140, 343, 266, 342, 11971, 266, 327, 32140, 271, 267, 271, 267, 14838, 1070, 273, 10142, 29764, 273, 269, 1584, 17806, 263, 19112, 267, 1412, 5674, 525, 3299, 630, 343, 267, 586, 1070, 20956, 273, 12171, 2177, 307, 318, 295, 8991, 4047, 312, 318, 23490, 4041, 311, 267, 476, 271, 269, 276, 267, 1477, 263, 271, 267, 476, 271, 267, 476, 271, 17903, 1721, 1535, 11971, 267, 342, 267, 327, 538, 8188, 6769, 19112, 815, 20956, 273, 269, 5550, 4120, 263, 19112, 267, 263, 343, 11971, 32140, 343, 266, 342, 11971, 266, 327, 32140, 271, 267, 271, 267, 14838, 1070, 273, 3418, 29764, 273, 269, 1584, 17806, 263, 19112, 267, 1412, 2183, 3299, 630, 343, 267, 586, 1070, 20956, 273, 12171, 2177, 307, 318, 295, 8991, 4047, 312, 318, 23490, 4041, 311, 267, 476, 271, 269, 276, 267, 1477, 263, 271, 267, 476, 271, 267, 476, 271, 17903, 29764, 273, 269, 574, 19651, 3488, 294, 2001, 3299, 708, 326, 3418, 29764, 273, 9884, 7159, 7659, 263, 271, 3418, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 14052, 258, 901, 1599, 30397, 4064, 543, 3068, 538, 513, 2661, 3381, 9676, 998, 1477, 1492, 3593, 781, 1357, 31748, 23228, 3698, 3381, 19547, 1254, 28399, 5115, 815, 20956, 273, 17679, 8721, 290, 2194, 675, 263, 271, 3418, 6112, 6936, 6769, 4958, 267, 18134, 815, 1698, 18667, 14052, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 6600, 9347, 22698, 341, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 3418, 5674, 525, 815, 3750, 6831, 2444, 1228, 6155, 25018, 25648, 306, 7051, 14116, 2001, 267, 272, 269, 272, 267, 736, 3418, 2183, 815, 3068, 6831, 2444, 1228, 6155, 25018, 25648, 306, 7051, 14116, 2001, 267, 4336, 15542, 528, 284, 272, 269, 272, 267, 1477, 2381, 10468, 662, 26092, 284, 280, 3418, 1721, 1535, 267, 586, 267, 530, 267, 554, 538, 4064, 6769, 18134, 815, 20956, 273, 269, 5550, 4120, 6600, 9347, 267, 630, 343, 267, 586, 1070, 630, 343, 1341, 530, 267, 586, 1341, 554, 1070, 630, 271, 267, 1477, 14838, 267, 476, 271, 1070, 276, 3418, 29764, 273, 269, 1584, 17806, 6600, 9347, 10086, 5674, 525, 3299, 263, 343, 11971, 1070, 1477, 29764, 273, 12171, 2177, 307, 318, 295, 8991, 4047, 312, 318, 23490, 4041, 311, 267, 272, 267, 263, 271, 267, 14838, 267, 271, 264, 10142, 1721, 1535, 267, 586, 267, 530, 267, 554, 538, 3068, 281, 5897, 18134, 815, 20956, 273, 269, 5550, 4120, 6600, 9347, 267, 630, 343, 267, 586, 1070, 630, 343, 1341, 530, 267, 586, 1341, 554, 1070, 630, 271, 267, 476, 271, 267, 5897, 14838, 1070, 276, 10142, 29764, 273, 269, 1584, 17806, 6600, 9347, 267, 1412, 2183, 3299, 630, 343, 267, 586, 1070, 20956, 273, 12171, 2177, 307, 318, 295, 8991, 4047, 312, 318, 23490, 4041, 311, 267, 5897, 272, 267, 630, 14838, 267, 476, 271, 267, 476, 271, 17903, 29764, 273, 269, 574, 19651, 3488, 20479, 273, 3299, 7406, 3418, 604, 20956, 273, 9884, 7159, 7659, 263, 272, 264, 2652, 476, 1724, 6769, 19874, 1477, 5115, 18622, 3161, 14052, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 14052, 258, 10852, 1599, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 337, 815, 28184, 11053, 330, 14052, 337, 269, 613, 5852, 2891, 1220, 343, 2004, 14744, 337, 26644, 3488, 23330, 725, 20298, 31728, 815, 28184, 269, 3719, 2023, 16868, 267, 1257, 8782, 15862, 24544, 3299, 8700, 284, 1839, 267, 1477, 12252, 284, 13548, 19547, 1254, 3418, 31728, 272, 815, 28184, 269, 3719, 2023, 16868, 267, 1257, 8782, 21581, 24544, 3299, 8700, 284, 1839, 267, 1477, 12252, 284, 341, 8721, 19547, 1254, 3418, 31728, 4877, 871, 14052, 31728, 272, 4877, 871, 14052, 337, 6230, 664, 31467, 3890, 0, 258, 652, 324, 1583, 320, 1714, 561, 13610, 1642, 13798, 15282, 9030, 16948, 1212, 541, 796, 813, 632, 1106, 320, 632, 513, 2181, 837, 2746, 643, 657, 632, 1166, 582, 30685, 454, 3698, 7895, 597, 19617, 3266, 11767, 334, 10031, 3097, 825, 2953, 334, 25716, 454, 825, 1003, 284, 271, 454, 825, 1247, 263, 2254, 2953, 334, 2187, 1038, 2119, 912, 2018, 1003, 815, 703, 9272, 2891, 4504, 28558, 796, 1003, 3266, 1303, 3266, 281, 27328, 2018, 2953, 334, 18989, 454, 1038, 4849, 28759, 912, 2018, 1820, 3488, 13286, 267, 6338, 796, 1003, 3266, 1303, 3266, 5073, 672, 3097, 825, 2132, 1003, 272, 22562, 3097, 15680, 597, 815, 8771, 454, 641, 322, 542, 815, 476, 271, 454, 3097, 6112, 711, 2892, 597, 912, 3097, 825, 1820, 9497, 272, 269, 14956, 322, 542, 476, 272, 5602, 825, 1820, 9497, 273, 269, 14956, 322, 542, 476, 273, 5602, 825, 1820, 9497, 274, 269, 14956, 322, 542, 476, 274, 5602, 825, 1820, 9497, 275, 269, 6428, 597, 5602, 672, 3097, 825, 1820, 9497, 292, 5554, 324, 19448, 1566, 322, 542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 22271, 288, 19053, 316, 3299, 1412, 3299, 1899, 1040, 12294, 3890, 2652, 1412, 629, 5724, 12466, 3546, 1948, 28859, 479, 485, 28996, 418, 495, 502, 28884, 21550, 485, 30903, 502, 28793, 8147, 16533, 484, 31284, 24757, 24757, 10951, 361, 20693, 510, 24662, 28996, 17549, 26748, 18809, 454, 3546, 1899, 815, 535, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 3546, 1948, 13127, 364, 484, 10951, 361, 27310, 24757, 10951, 361, 17958, 30678, 421, 359, 490, 13644, 479, 15159, 12571, 355, 28996, 20001, 378, 16533, 378, 421, 481, 357, 27818, 10915, 3720, 24724, 27818, 10254, 510, 30522, 353, 419, 358, 374, 21550, 376, 8147, 420, 377, 361, 16533, 493, 19540, 503, 24724, 454, 3546, 1247, 1899, 543, 556, 16553, 16868, 262, 314, 317, 320, 22271, 288, 19053, 316, 3299, 1412, 3299, 1899, 1040, 12294, 3890, 11203, 1412, 10915, 3720, 12466, 7386, 1957, 26748, 6834, 1899, 25331, 29328, 2891, 268, 834, 264, 476, 1948, 13127, 492, 375, 30522, 353, 22287, 499, 13644, 491, 7511, 14035, 504, 27310, 13213, 508, 26406, 354, 31033, 454, 7386, 1899, 815, 535, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 3546, 2736, 454, 2018, 1899, 815, 535, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 825, 2132, 1957, 26748, 7531, 18411, 287, 20693, 509, 420, 25693, 281, 476, 13644, 375, 9463, 500, 418, 490, 485, 27936, 25203, 362, 25051, 499, 31284, 19867, 478, 20069, 18777, 374, 24757, 24757, 10951, 361, 420, 371, 363, 23523, 482, 25520, 18777, 374, 24757, 2839, 454, 287, 9463, 480, 12255, 281, 3097, 825, 3436, 339, 13759, 5091, 597, 281, 17276, 490, 485, 27936, 25203, 362, 25051, 499, 454, 287, 13213, 498, 18713, 508, 29219, 912, 825, 3436, 17549, 7272, 23411, 281, 476, 18777, 374, 24757, 24757, 10951, 361, 24757, 10524, 370, 7511, 420, 371, 363, 23523, 482, 421, 505, 484, 454, 825, 3436, 17549, 318, 1749, 281, 13127, 363, 373, 18021, 498, 7511, 18777, 374, 24757, 2839, 421, 505, 484, 454, 18257, 7531, 3698, 1205, 7272, 1653, 24786, 6025, 13759, 5091, 597, 2187, 825, 1957, 7272, 23411, 815, 11713, 825, 1957, 318, 1749, 815, 11713, 825, 585, 3597, 267, 546, 15077, 267, 6119, 538, 15259, 9884, 1779, 6025, 13759, 5091, 597, 2187, 1038, 1957, 7272, 23411, 815, 1496, 657, 29624, 12459, 7765, 20172, 267, 3758, 264, 585, 3758, 538, 6119, 952, 454, 4449, 11434, 556, 6230, 2255, 16868, 262, 317, 314, 288, 19053, 316, 315, 323, 346, 273, 32757, 323, 346, 275, 32710, 269, 339, 868, 7751, 3299, 3758, 264, 568, 711, 7183, 2639, 1038, 1957, 318, 1749, 815, 1496, 12803, 25331, 29328, 3488, 269, 339, 868, 10807, 585, 3758, 538, 6119, 952, 556, 6230, 2255, 16868, 262, 317, 314, 288, 19053, 316, 315, 323, 346, 273, 32757, 323, 346, 275, 32710, 269, 339, 868, 7751, 3299, 3758, 264, 568, 711, 7183, 2639, 825, 2132, 1957, 7272, 23411, 267, 1957, 318, 1749, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 942, 7531, 3698, 22245, 6600, 684, 2187, 825, 1219, 12109, 3899, 28949, 16911, 267, 2878, 29220, 16911, 2187, 1038, 1376, 22710, 815, 942, 28333, 10797, 1038, 1267, 815, 1187, 28949, 16911, 267, 2878, 29220, 16911, 2020, 1038, 2698, 22710, 815, 942, 28333, 3890, 910, 1376, 22710, 454, 1038, 1820, 6600, 257, 314, 346, 325, 684, 14857, 4067, 1029, 348, 3576, 2715, 20135, 22710, 348, 3813, 547, 2196, 316, 15419, 1038, 2132, 1267, 692, 825, 2132, 12109, 3899, 7531, 287, 339, 25534, 454, 3698, 3728, 318, 842, 318, 5417, 3287, 267, 586, 2187, 825, 2132, 1535, 1341, 586, 7531, 287, 339, 25534, 454, 3698, 3500, 318, 842, 318, 5417, 3287, 267, 586, 2187, 825, 1267, 815, 1535, 454, 825, 585, 1775, 538, 2039, 12169, 2187, 1038, 1267, 6834, 476, 272, 454, 825, 2132, 1267, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1535, 815, 476, 1911, 1822, 454, 825, 586, 815, 476, 1911, 1822, 454, 825, 1820, 4433, 869, 318, 842, 318, 5417, 3287, 267, 586, 4917, 825, 1820, 6600, 770, 318, 842, 318, 5417, 3287, 267, 586, 4917, 0, 3698, 1376, 10031, 825, 1247, 6936, 912, 1038, 10902, 815, 3403, 2891, 16521, 513, 10902, 281, 19515, 1038, 533, 5332, 1735, 815, 3403, 2891, 16521, 513, 12683, 10902, 281, 19515, 1038, 3813, 5332, 1735, 815, 3403, 2891, 16521, 513, 10902, 281, 19515, 1038, 1747, 815, 3403, 2891, 11243, 513, 1747, 281, 19515, 1038, 18781, 815, 3403, 2891, 16521, 606, 18781, 630, 5327, 21564, 2262, 2567, 19515, 1038, 3791, 5332, 1735, 815, 3403, 2891, 16521, 513, 10902, 281, 19515, 1038, 1820, 2891, 14343, 734, 5602, 1038, 1820, 2891, 6826, 2186, 547, 707, 834, 266, 29825, 266, 27324, 20584, 539, 834, 266, 335, 5332, 1735, 266, 257, 315, 333, 2690, 513, 21868, 949, 581, 18825, 781, 834, 266, 5913, 5332, 1735, 266, 2580, 315, 333, 6826, 2186, 547, 707, 834, 266, 335, 5332, 1735, 2437, 538, 834, 266, 2897, 266, 257, 315, 333, 8489, 519, 4365, 568, 2141, 834, 266, 611, 11187, 266, 2668, 315, 333, 14826, 2791, 949, 1589, 602, 568, 713, 519, 834, 266, 628, 2273, 5332, 1735, 266, 2580, 315, 333, 11039, 621, 568, 23528, 1038, 1820, 2891, 14343, 734, 5602, 1038, 3247, 815, 3403, 2891, 2710, 596, 1616, 547, 3247, 286, 630, 10938, 1422, 257, 344, 315, 257, 585, 3247, 610, 1022, 824, 1915, 547, 1404, 1586, 2567, 19515, 1038, 952, 3247, 2652, 834, 344, 13426, 2018, 2736, 692, 11034, 3890, 0, 5814, 15259, 692, 5035, 11711, 912, 567, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2433, 1193, 267, 2619, 2433, 1193, 2187, 8587, 1582, 8807, 850, 815, 7183, 454, 8587, 1582, 20508, 815, 2012, 454, 8587, 1582, 29624, 815, 2619, 692, 567, 1219, 1930, 4311, 2187, 8587, 5727, 3097, 8587, 678, 910, 3367, 910, 4347, 5435, 1871, 269, 14956, 839, 513, 3758, 585, 2542, 267, 5470, 952, 519, 3758, 1281, 711, 2291, 454, 8587, 513, 910, 2561, 754, 910, 14956, 839, 513, 3758, 585, 813, 2056, 267, 5932, 519, 3758, 952, 621, 1281, 711, 2291, 454, 8587, 530, 910, 3503, 910, 14956, 839, 513, 3758, 585, 1603, 267, 5932, 519, 3758, 952, 621, 1281, 711, 2291, 454, 8587, 1535, 910, 8073, 910, 6282, 525, 519, 9138, 3758, 267, 7024, 606, 5470, 952, 519, 3758, 6818, 454, 8587, 769, 1840, 596, 666, 14574, 952, 519, 3758, 1058, 581, 17411, 607, 9352, 610, 1257, 7154, 454, 8587, 512, 910, 7956, 910, 4347, 5435, 1871, 269, 7956, 7154, 454, 8587, 536, 910, 23030, 910, 23030, 7154, 630, 324, 3052, 269, 2592, 994, 8587, 8173, 8587, 952, 15259, 29624, 20216, 1235, 4311, 29624, 2187, 1363, 1582, 8807, 850, 815, 1930, 4311, 29624, 267, 1412, 4135, 5073, 8587, 3116, 912, 1363, 1582, 8807, 850, 815, 1930, 4311, 29624, 267, 1412, 342, 339, 17210, 567, 1219, 1224, 4311, 2187, 8587, 1899, 2433, 1193, 454, 8587, 1899, 815, 1582, 8807, 850, 18667, 1467, 4590, 8587, 1820, 263, 1467, 2020, 567, 1219, 2328, 4311, 267, 3515, 2433, 1193, 2187, 8587, 1582, 8807, 850, 9884, 761, 3894, 263, 6050, 2020, 567, 1219, 18419, 4311, 2187, 8587, 952, 15259, 29624, 20216, 1235, 4311, 29624, 2187, 1363, 15259, 31927, 4311, 29624, 264, 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 ]
[ 542, 634, 22502, 540, 519, 2418, 540, 513, 4908, 3892, 630, 1993, 1239, 264, 689, 606, 3328, 269, 20028, 634, 3259, 540, 519, 1899, 10126, 11836, 1079, 2798, 269, 20518, 5737, 16296, 589, 3959, 540, 1483, 2338, 602, 2829, 602, 519, 1587, 540, 519, 2040, 610, 3017, 540, 1079, 2338, 568, 519, 1482, 607, 519, 2040, 610, 3017, 540, 741, 2472, 269, 7151, 281, 476, 277, 343, 263, 273, 266, 274, 6661, 263, 277, 343, 273, 11924, 263, 277, 343, 274, 264, 4534, 18527, 936, 1840, 269, 7151, 476, 273, 281, 476, 276, 1535, 476, 2537, 815, 476, 276, 1535, 630, 736, 1341, 476, 274, 264, 815, 476, 276, 1535, 476, 736, 1341, 476, 276, 1535, 476, 274, 815, 476, 1911, 1341, 476, 1428, 815, 476, 12893, 269, 29435, 754, 589, 1297, 602, 568, 5258, 676, 1776, 1297, 269, 6555, 14548, 1403, 513, 1297, 814, 513, 2898, 1297, 2626, 950, 5258, 676, 513, 2034, 1297, 267, 519, 1101, 1297, 568, 16883, 676, 519, 2034, 1297, 282, 1535, 568, 16883, 676, 586, 952, 543, 1152, 952, 1535, 815, 7117, 344, 1141, 586, 568, 513, 2898, 1297, 269, 10406, 589, 6310, 5106, 5473, 1079, 2338, 602, 6645, 875, 1082, 2516, 972, 616, 610, 875, 1082, 616, 538, 1142, 1895, 269, 634, 3090, 585, 6498, 568, 21680, 610, 1315, 269, 6555, 529, 528, 634, 1297, 676, 799, 519, 26318, 568, 5258, 269, 667, 20683, 4354, 6275, 602, 568, 4502, 476, 1911, 21347, 269, 1411, 786, 1294, 519, 3090, 834, 15478, 257, 950, 2324, 609, 9489, 269, 23792, 634, 1305, 540, 2418, 585, 799, 513, 1599, 568, 3989, 269, 17677, 1677, 1118, 7466, 607, 1390, 610, 607, 1082, 282, 547, 2333, 676, 4946, 606, 3160, 2179, 282, 547, 2179, 547, 7466, 519, 1297, 269, 17677, 5174, 541, 8641, 589, 3113, 602, 3096, 8424, 540, 13063, 547, 5635, 543, 1397, 519, 2078, 1063, 1239, 269, 17677, 6441, 710, 8641, 589, 3113, 602, 3096, 8424, 540, 3515, 602, 1397, 1689, 936, 942, 547, 2099, 543, 5635, 1239, 780, 910, 5851, 8525, 3436, 3794, 27443, 910, 12474, 11621, 910, 13505, 10934, 910, 13505, 6435, 692, 20578, 9612, 692, 265, 634, 2688, 3406, 1152, 5654, 693, 7101, 518, 781, 4609, 780, 7883, 585, 3135, 948, 610, 513, 1592, 540, 6128, 3584, 693, 519, 3135, 4786, 256, 0, 2005, 568, 4867, 476, 1240, 4239, 476, 1001, 278, 267, 476, 6860, 281, 1626, 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, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 4578, 2672, 11797, 281, 10318, 1456, 6898, 616, 3160, 692, 12041, 24606, 454, 12421, 454, 16274, 281, 476, 2420, 7325, 476, 1001, 273, 454, 15803, 281, 476, 273, 692, 20132, 19560, 1496, 271, 3910, 2016, 281, 476, 272, 692, 10574, 2672, 11797, 281, 10318, 1456, 6898, 616, 3160, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1001, 273, 267, 476, 2537, 281, 6321, 454, 8923, 1577, 803, 917, 875, 547, 3313, 952, 1079, 6898, 616, 3160, 269, 901, 568, 3823, 1239, 647, 11797, 2055, 563, 2690, 1383, 267, 2687, 547, 513, 3896, 267, 519, 1739, 1079, 6898, 630, 272, 264, 543, 630, 273, 264, 616, 3160, 267, 4611, 454, 514, 661, 607, 519, 2626, 3903, 780, 12552, 2336, 272, 269, 1548, 568, 519, 2040, 540, 2318, 9981, 1535, 543, 586, 15017, 263, 272, 264, 476, 273, 343, 910, 476, 277, 344, 910, 476, 272, 815, 476, 274, 454, 263, 273, 264, 476, 276, 343, 910, 476, 274, 815, 476, 1428, 344, 1341, 476, 278, 692, 20132, 19560, 1496, 271, 3910, 2016, 281, 476, 272, 692, 14483, 9906, 454, 16274, 281, 476, 2764, 4455, 476, 1001, 273, 454, 15803, 281, 476, 27420, 692, 20132, 19560, 476, 5325, 275, 1496, 271, 3910, 2016, 281, 476, 16318, 692, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 16010, 267, 5303, 454, 29479, 476, 272, 281, 476, 20981, 1627, 4366, 966, 4029, 454, 29479, 476, 273, 281, 476, 278, 3583, 1627, 2004, 966, 5325, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 4578, 2672, 11797, 281, 10318, 1456, 6898, 616, 3160, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 3066, 9484, 476, 1001, 273, 267, 476, 876, 281, 7906, 454, 24965, 576, 519, 3830, 547, 2241, 1106, 281, 4949, 1341, 676, 815, 524, 2073, 1141, 513, 267, 536, 267, 524, 723, 1100, 1455, 3815, 563, 23744, 513, 267, 536, 267, 524, 616, 2241, 2338, 543, 596, 530, 2632, 723, 547, 798, 1950, 9273, 780, 263, 272, 264, 476, 273, 343, 910, 476, 277, 344, 910, 476, 272, 815, 476, 274, 454, 27784, 476, 273, 343, 910, 476, 277, 344, 815, 476, 275, 630, 24708, 4632, 593, 835, 2427, 543, 3586, 593, 519, 824, 994, 27784, 1535, 910, 476, 274, 344, 815, 476, 273, 630, 595, 30327, 519, 1455, 3815, 476, 273, 689, 782, 519, 2474, 994, 263, 273, 264, 476, 276, 343, 910, 476, 274, 815, 476, 1428, 344, 1341, 476, 278, 454, 27784, 476, 276, 343, 910, 1428, 344, 815, 476, 1015, 454, 27784, 1535, 910, 476, 274, 344, 815, 476, 273, 630, 595, 30327, 519, 1455, 3815, 476, 276, 689, 782, 519, 2474, 994, 6303, 318, 692, 257, 7343, 21090, 568, 513, 8748, 3364, 269, 898, 2306, 1018, 568, 5140, 538, 1866, 4866, 547, 721, 607, 1134, 4799, 587, 499, 5292, 3279, 790, 692, 18208, 918, 16997, 267, 952, 594, 723, 5280, 563, 12552, 2439, 20132, 19560, 476, 5325, 275, 1496, 271, 3910, 2016, 281, 476, 16318, 692, 3725, 281, 4578, 2672, 11797, 281, 10318, 1456, 6898, 616, 3160, 5231, 1496, 258, 21529, 316, 476, 3066, 9484, 476, 1001, 273, 267, 476, 876, 281, 7906, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11485, 3096, 1200, 2866, 538, 4457, 6925, 267, 9360, 543, 8324, 543, 22591, 547, 9305, 547, 519, 2029, 540, 519, 12713, 306, 4754, 590, 20670, 269, 634, 946, 540, 22591, 2798, 1282, 519, 2542, 2636, 519, 12713, 306, 4754, 590, 20670, 547, 2268, 8467, 630, 19592, 523, 3130, 264, 543, 2566, 630, 514, 25691, 1040, 898, 814, 1044, 8810, 602, 22591, 2798, 616, 2792, 7740, 538, 938, 8401, 1062, 602, 616, 11488, 6835, 547, 519, 2634, 269, 1635, 2921, 891, 7403, 538, 519, 1560, 1210, 891, 2798, 267, 606, 4977, 7650, 540, 2566, 538, 519, 1560, 568, 5833, 269, 634, 3461, 786, 4309, 513, 1820, 856, 540, 782, 519, 4152, 267, 543, 3356, 543, 2242, 786, 581, 16913, 693, 1142, 1246, 909, 3643, 630, 6518, 568, 3335, 1169, 476, 277, 4374, 994, 30535, 616, 3335, 7318, 538, 3670, 4374, 9979, 547, 1450, 519, 1560, 547, 12115, 593, 519, 11311, 7014, 269, 769, 713, 942, 267, 519, 3461, 949, 723, 6197, 543, 2732, 2242, 267, 543, 568, 10950, 547, 3346, 519, 5604, 609, 2055, 269, 634, 3804, 538, 4152, 568, 547, 1450, 519, 2550, 685, 1292, 29153, 547, 12115, 610, 1831, 1447, 270, 3467, 7109, 762, 543, 1287, 1847, 593, 547, 513, 5826, 4152, 267, 799, 568, 1447, 1419, 630, 325, 15968, 2944, 2013, 676, 2013, 1040, 0, 306, 5308, 476, 1321, 628, 6103, 4569, 910, 18292, 454, 18933, 17097, 268, 4002, 3427, 5264, 476, 1321, 628, 6103, 4569, 568, 606, 5499, 267, 2780, 2861, 1576, 799, 6227, 29890, 543, 4359, 2979, 269, 14168, 3562, 17000, 4245, 538, 713, 24488, 26102, 6437, 5693, 2491, 840, 23343, 1529, 639, 3584, 1519, 3252, 267, 11708, 267, 9163, 267, 25066, 3252, 267, 8701, 10974, 267, 543, 13392, 4834, 269, 8342, 19180, 2645, 616, 849, 3769, 269, 22291, 17118, 543, 4255, 269, 0, 763, 2640, 540, 3381, 3756, 547, 1453, 2484, 29387, 519, 3790, 267, 2523, 1813, 547, 4028, 7760, 538, 3381, 3756, 4066, 269, 11473, 3756, 948, 1118, 1565, 2326, 811, 2502, 543, 2500, 269, 6684, 267, 789, 849, 1683, 519, 15314, 547, 1453, 547, 6108, 811, 942, 609, 2828, 543, 3885, 543, 2087, 1453, 779, 1514, 1272, 563, 3719, 899, 1022, 2029, 267, 3381, 3756, 723, 849, 741, 4023, 2671, 540, 13915, 269, 2290, 540, 519, 30852, 1996, 3381, 3756, 568, 602, 789, 616, 22925, 543, 1267, 538, 2530, 540, 3407, 942, 2200, 269, 634, 824, 9880, 568, 602, 3381, 3756, 1419, 723, 20025, 1543, 711, 14018, 547, 1453, 2943, 1453, 2744, 1569, 547, 971, 3381, 3756, 543, 713, 11874, 5540, 741, 1646, 543, 2208, 538, 519, 1279, 2165, 563, 21581, 3756, 949, 723, 519, 1761, 547, 581, 22925, 855, 865, 723, 1082, 824, 12316, 4066, 971, 607, 519, 4950, 267, 8301, 543, 3381, 9913, 1519, 2575, 543, 9413, 269, 634, 1883, 547, 7231, 609, 971, 2152, 568, 711, 9319, 519, 2029, 855, 547, 5402, 10994, 519, 1966, 269, 634, 3237, 1223, 960, 609, 1453, 547, 1305, 513, 942, 3349, 28408, 950, 789, 949, 610, 949, 711, 1404, 3381, 3756, 269, 3807, 899, 4950, 267, 3381, 3756, 2709, 1896, 2640, 267, 3976, 267, 7333, 940, 873, 1281, 811, 2800, 982, 1434, 269, 898, 568, 849, 3020, 602, 3381, 3756, 3006, 723, 20025, 1543, 855, 4896, 945, 1207, 903, 3381, 3756, 568, 3222, 540, 519, 1249, 602, 3381, 3756, 616, 16271, 547, 519, 30007, 12229, 28951, 8274, 630, 2464, 305, 289, 264, 1543, 16863, 269, 898, 568, 519, 2816, 540, 519, 3237, 267, 10685, 19093, 543, 824, 8639, 547, 2327, 602, 1453, 798, 711, 723, 1569, 547, 2085, 2987, 14363, 3756, 538, 519, 1482, 6073, 649, 3970, 1453, 779, 1569, 547, 9413, 543, 2575, 609, 2937, 1543, 563, 21581, 3756, 723, 519, 1761, 547, 581, 3765, 4310, 855, 3381, 3756, 616, 711, 2189, 538, 713, 2543, 269, 4634, 519, 1034, 12316, 4066, 971, 607, 519, 4950, 543, 1591, 11436, 3092, 269, 666, 581, 3765, 4310, 269, 634, 3070, 568, 711, 547, 7333, 3381, 3756, 855, 547, 1491, 3800, 602, 3895, 3743, 946, 540, 3381, 3756, 543, 7413, 1569, 547, 2085, 2987, 14363, 1543, 269, 11473, 3756, 2709, 16854, 1761, 585, 1072, 2208, 543, 1646, 540, 1453, 543, 723, 2949, 2318, 1764, 593, 519, 2486, 269, 0, 299, 537, 529, 28226, 267, 12183, 24887, 968, 306, 2255, 15879, 2223, 968, 303, 3591, 892, 543, 267, 2663, 267, 968, 288, 3387, 26513, 590, 2255, 2223, 6766, 9118, 12372, 609, 1312, 1010, 29412, 25041, 564, 2511, 543, 2189, 15690, 4938, 1023, 543, 13264, 1524, 1082, 7496, 2429, 519, 476, 4350, 271, 779, 585, 3979, 1977, 5159, 269, 4855, 856, 811, 827, 1010, 1272, 538, 713, 2110, 12092, 269, 1948, 18693, 2762, 454, 29771, 585, 811, 22335, 912, 291, 10679, 4514, 883, 22335, 593, 938, 3135, 912, 10287, 22335, 585, 811, 9670, 2984, 689, 4241, 2729, 912, 18693, 2762, 2593, 19306, 519, 1034, 17680, 6137, 267, 9670, 267, 543, 4241, 2984, 827, 4583, 1004, 281, 634, 7887, 2736, 269, 634, 10747, 4316, 269, 634, 1034, 695, 30568, 5821, 269, 634, 6397, 4276, 269, 634, 3375, 602, 4957, 3388, 269, 2060, 936, 476, 278, 267, 1822, 22808, 543, 3232, 2934, 602, 5031, 1007, 1873, 20564, 543, 8903, 2798, 6361, 268, 1613, 267, 649, 616, 519, 3059, 2707, 585, 3020, 2984, 827, 1004, 602, 2339, 269, 0, 296, 6557, 26095, 513, 4418, 831, 585, 519, 1101, 942, 543, 594, 6557, 12758, 593, 2542, 1818, 19492, 1407, 6044, 563, 9743, 2315, 607, 4553, 563, 310, 3183, 538, 853, 588, 267, 1651, 476, 272, 560, 1142, 6316, 1631, 269, 3973, 1651, 476, 272, 588, 1142, 6316, 1169, 476, 1015, 628, 4737, 476, 271, 2053, 267, 1169, 476, 279, 628, 4737, 476, 279, 2053, 267, 543, 1169, 476, 277, 628, 4737, 476, 273, 2053, 563, 1432, 568, 713, 1611, 286, 594, 666, 1174, 602, 547, 2333, 476, 272, 588, 1142, 6316, 855, 594, 1810, 1406, 1174, 1018, 568, 1169, 476, 1015, 628, 4737, 476, 271, 2053, 267, 1169, 476, 279, 628, 4737, 476, 279, 9392, 543, 865, 593, 269, 7490, 948, 803, 547, 1174, 713, 269, 0, 2108, 8512, 658, 7861, 1559, 267, 2353, 281, 1977, 6468, 543, 519, 966, 1774, 892, 19613, 313, 7112, 454, 2108, 8512, 658, 7861, 1559, 267, 2353, 281, 1977, 6468, 543, 519, 966, 1774, 892, 12134, 950, 267, 4010, 267, 1705, 1977, 2021, 3094, 519, 8917, 269, 12984, 621, 538, 476, 4572, 271, 267, 950, 519, 715, 12078, 14821, 729, 32738, 267, 607, 1082, 20859, 267, 15628, 267, 543, 12206, 723, 10645, 286, 10289, 519, 1279, 1686, 540, 2021, 779, 1569, 547, 519, 3440, 582, 267, 7905, 7605, 2106, 16189, 1097, 3091, 513, 1114, 2626, 563, 21659, 2106, 16189, 1097, 568, 7905, 540, 3778, 693, 519, 2160, 540, 15930, 267, 5441, 5244, 269, 2701, 568, 519, 2278, 540, 12861, 513, 21058, 18067, 542, 538, 1977, 21637, 267, 476, 6245, 271, 268, 4350, 276, 543, 4039, 550, 1652, 21637, 518, 281, 9478, 710, 29157, 543, 18776, 13659, 538, 3828, 12351, 31588, 1722, 3013, 269, 2701, 568, 849, 16823, 1225, 1807, 540, 519, 8858, 9406, 2685, 670, 619, 281, 1977, 6468, 543, 519, 966, 1774, 693, 519, 2817, 19964, 538, 6115, 267, 9823, 563, 8967, 29107, 676, 519, 3778, 4972, 267, 595, 269, 631, 843, 1042, 16399, 8750, 267, 519, 7732, 267, 543, 6468, 779, 5525, 563, 8923, 4945, 713, 15745, 547, 6443, 689, 513, 7193, 267, 5839, 267, 27317, 267, 21236, 267, 610, 15692, 3926, 281, 4179, 2517, 341, 817, 541, 269, 345, 7112, 30994, 4882, 270, 280, 3607, 271, 4366, 3707, 4792, 286, 335, 23424, 284, 308, 294, 6020, 308, 310, 1399, 309, 274, 304, 272, 309, 345, 293, 311, 306, 2894, 18250, 292, 330, 274, 301, 329, 11459, 7473, 6021, 269, 10426, 13892, 281, 16018, 563, 7775, 6443, 676, 6049, 281, 12480, 630, 1721, 2362, 2298, 267, 3866, 513, 1297, 1759, 593, 707, 1699, 4087, 2567, 2475, 281, 1341, 272, 476, 5038, 277, 476, 9262, 277, 476, 4200, 273, 274, 610, 1341, 272, 476, 24374, 476, 277, 2918, 476, 6858, 280, 280, 610, 1341, 272, 476, 22145, 476, 278, 1428, 476, 5952, 280, 273, 610, 1341, 272, 476, 5780, 280, 476, 12010, 476, 6924, 274, 274, 610, 1341, 272, 476, 26562, 476, 21497, 476, 279, 4281, 273, 610, 1341, 272, 476, 31798, 476, 27886, 476, 6507, 280, 280, 5680, 14373, 9517, 281, 476, 280, 3607, 476, 271, 4366, 272, 476, 280, 5379, 276, 269, 4139, 2338, 2139, 281, 4179, 2517, 341, 817, 541, 269, 345, 7112, 30994, 270, 340, 270, 0, 13981, 5124, 786, 948, 1053, 1020, 513, 11684, 1239, 2257, 32367, 267, 543, 621, 568, 513, 11684, 5752, 1893, 799, 666, 581, 19927, 3362, 1256, 607, 513, 1875, 3491, 13559, 1067, 269, 2201, 519, 824, 1688, 267, 681, 568, 513, 5752, 1604, 4481, 2966, 585, 1239, 2079, 602, 568, 1360, 2442, 538, 1239, 2257, 269, 634, 1079, 1034, 2442, 5752, 2645, 585, 1239, 2257, 960, 616, 5124, 543, 681, 693, 519, 4090, 269, 681, 585, 8579, 2079, 543, 5124, 607, 513, 2489, 26928, 5752, 1893, 563, 23911, 585, 4578, 3163, 6092, 267, 786, 948, 1053, 1451, 519, 1898, 2035, 540, 5124, 5752, 543, 2744, 2620, 1702, 538, 1239, 12642, 267, 3684, 1565, 267, 1239, 14839, 267, 1357, 16150, 532, 543, 2067, 1893, 4393, 269, 5124, 568, 513, 2838, 5578, 585, 1082, 1239, 2257, 7158, 563, 23911, 568, 513, 3532, 1164, 7400, 267, 1843, 15129, 5752, 1893, 269, 898, 814, 2647, 2039, 540, 3156, 689, 5680, 1646, 267, 3621, 543, 6310, 7384, 269, 634, 16105, 540, 519, 1893, 568, 2973, 543, 3259, 540, 519, 3009, 568, 5266, 2110, 269, 898, 2636, 596, 547, 1589, 827, 519, 1966, 2864, 982, 2519, 593, 519, 16105, 269, 14069, 924, 568, 835, 1863, 17426, 6538, 4122, 1031, 676, 5124, 23501, 547, 4558, 1239, 269, 3509, 3810, 911, 742, 17673, 7270, 267, 971, 607, 13334, 267, 616, 2813, 1210, 5124, 563, 10574, 2257, 568, 606, 15834, 2361, 602, 3096, 3621, 2409, 267, 3157, 267, 6620, 543, 1949, 547, 1349, 1702, 543, 4030, 689, 1239, 538, 1585, 3029, 267, 1312, 11295, 543, 13417, 19099, 267, 2147, 547, 1239, 5599, 6185, 1092, 12207, 616, 1732, 18802, 1014, 982, 2780, 27732, 543, 1732, 2780, 27732, 982, 519, 6465, 2065, 1014, 269, 4841, 945, 2097, 856, 540, 1153, 2069, 666, 3337, 741, 4876, 676, 12969, 532, 538, 713, 29286, 547, 1205, 519, 5458, 2816, 3255, 538, 519, 1239, 2257, 2361, 269, 2991, 14051, 267, 4876, 27685, 626, 2501, 909, 609, 513, 1007, 5736, 1572, 968, 10574, 16527, 9731, 305, 568, 513, 5752, 1893, 543, 3301, 1604, 585, 8579, 2079, 267, 12449, 6041, 543, 8989, 10611, 568, 513, 5752, 1893, 543, 1604, 4122, 1031, 538, 8579, 7384, 267, 1239, 12642, 543, 3621, 1382, 10611, 2636, 721, 547, 11753, 609, 824, 4654, 630, 290, 267, 595, 10030, 1040, 4935, 267, 596, 666, 3362, 2170, 609, 1082, 1239, 2959, 543, 8579, 15004, 269, 1306, 513, 1267, 267, 681, 5752, 1893, 814, 1804, 3395, 2146, 540, 3755, 269, 0, 2750, 12371, 1449, 2164, 540, 2407, 8397, 538, 28129, 544, 21863, 2895, 13123, 616, 21845, 547, 3313, 3617, 1570, 3601, 585, 519, 20592, 540, 713, 7293, 1826, 269, 8422, 8820, 22357, 13113, 3693, 3631, 540, 1614, 544, 21863, 2895, 13123, 616, 6383, 1210, 513, 20749, 2139, 13113, 3693, 10189, 269, 634, 7180, 540, 519, 544, 21863, 568, 556, 6088, 676, 946, 540, 513, 4396, 3693, 602, 666, 723, 922, 20765, 9168, 676, 519, 1646, 540, 18015, 543, 11493, 269, 634, 6445, 568, 1110, 8215, 607, 513, 667, 745, 14982, 6261, 571, 3455, 1570, 267, 543, 519, 8818, 1063, 519, 544, 21863, 543, 519, 6445, 568, 27537, 607, 513, 535, 2774, 1308, 3346, 2627, 269, 634, 13123, 616, 1110, 8215, 896, 3028, 13907, 267, 543, 519, 2203, 2164, 616, 3379, 547, 519, 2164, 540, 513, 1982, 540, 2361, 4152, 540, 519, 3889, 269, 898, 568, 1336, 602, 519, 13429, 540, 513, 10257, 1305, 540, 1570, 3601, 267, 1759, 593, 3308, 7422, 540, 519, 1570, 543, 4070, 540, 519, 2497, 267, 8045, 998, 513, 1982, 540, 1614, 8820, 22357, 13113, 3693, 2079, 5512, 1434, 11236, 540, 519, 4890, 7180, 540, 513, 544, 21863, 2895, 8115, 563, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 6406, 543, 23305, 7177, 454, 268, 21290, 543, 29896, 454, 268, 10049, 3163, 263, 718, 994, 268, 20996, 7177, 454, 268, 8950, 3163, 10241 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 561, 7795, 333, 318, 531, 2998, 28840, 2187, 825, 5727, 13425, 952, 513, 1297, 568, 4570, 610, 711, 12163, 825, 9704, 815, 1496, 842, 5560, 13424, 264, 585, 7857, 538, 1297, 2639, 825, 2040, 5091, 580, 1080, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 5560, 580, 1080, 264, 910, 476, 273, 267, 910, 272, 267, 910, 273, 2187, 1038, 9704, 5157, 316, 815, 9704, 5157, 316, 2608, 476, 273, 454, 1038, 952, 630, 21745, 1080, 5157, 316, 3436, 476, 280, 2187, 2018, 835, 815, 9704, 5157, 316, 4939, 476, 1015, 454, 2018, 1079, 815, 9704, 5157, 316, 12262, 476, 1015, 454, 2018, 9704, 5157, 316, 815, 835, 1341, 1079, 454, 825, 585, 1775, 538, 2039, 12759, 5560, 580, 1080, 15892, 1038, 2040, 5091, 580, 1080, 6834, 9704, 5157, 2639, 825, 952, 630, 8999, 5091, 580, 1080, 4939, 476, 1015, 2652, 476, 271, 2187, 1038, 1820, 2891, 763, 2016, 1297, 2580, 1297, 267, 834, 529, 4570, 5602, 825, 3116, 912, 1038, 1820, 2891, 763, 2016, 1297, 2580, 1297, 267, 834, 529, 711, 4570, 257, 9239, 3698, 1292, 10031, 825, 1297, 815, 3403, 2891, 11767, 513, 1297, 281, 5602, 825, 561, 7795, 333, 318, 531, 2998, 28840, 9239, 10852, 4590, 0, 5228, 7470, 1104, 25373, 454, 5228, 22739, 1104, 570, 850, 454, 310, 2839, 8025, 815, 476, 6110, 454, 4047, 20846, 815, 476, 6110, 454, 9915, 3722, 5058, 815, 476, 1911, 454, 28186, 815, 25373, 263, 310, 2839, 8025, 267, 16777, 20846, 267, 9501, 3722, 5058, 994, 339, 850, 815, 570, 850, 30800, 3698, 14764, 10031, 825, 4282, 263, 6434, 267, 476, 9965, 267, 476, 13136, 994, 825, 2450, 263, 310, 2839, 8025, 267, 16777, 20846, 9239, 3698, 2721, 10031, 825, 7470, 269, 5891, 4590, 825, 22739, 269, 5891, 4590, 825, 22739, 3052, 877, 318, 1478, 4590, 825, 952, 22739, 269, 1478, 912, 1038, 2012, 815, 3403, 2891, 11767, 707, 2012, 5602, 1038, 952, 2012, 912, 2018, 22739, 269, 13440, 867, 28442, 994, 1038, 8640, 2012, 2652, 1412, 12466, 2018, 1820, 3488, 314, 10387, 27679, 5569, 316, 5073, 1038, 1100, 299, 17274, 30800, 3698, 10856, 3725, 548, 1078, 10031, 825, 22739, 269, 26303, 9852, 1787, 311, 267, 10856, 312, 9239, 3698, 1883, 303, 5962, 10031, 825, 1820, 2891, 7659, 303, 5962, 5602, 825, 952, 1883, 2652, 1412, 337, 12466, 1038, 1820, 2891, 337, 20399, 5602, 1038, 22739, 269, 10915, 3306, 4590, 1038, 1820, 2891, 8269, 637, 1117, 5602, 825, 22739, 269, 5891, 30800, 3698, 3403, 4311, 267, 5048, 284, 5257, 2187, 825, 689, 795, 822, 1314, 269, 1873, 532, 1104, 808, 29682, 303, 2033, 454, 825, 2132, 808, 29682, 303, 2033, 20481, 19152, 291, 658, 690, 6600, 9347, 267, 5048, 994, 0, 3698, 1292, 10031, 825, 1193, 338, 815, 3403, 2891, 11767, 513, 5569, 281, 834, 264, 3097, 825, 1193, 338, 815, 1193, 338, 31573, 4590, 825, 1775, 815, 476, 271, 454, 825, 1247, 630, 328, 2999, 7003, 19304, 338, 15892, 1038, 952, 19304, 338, 5157, 316, 2652, 1412, 320, 262, 610, 1193, 338, 5157, 316, 2652, 1412, 324, 262, 528, 1193, 338, 5157, 316, 2652, 1412, 328, 262, 528, 1193, 338, 5157, 316, 2652, 1412, 334, 262, 528, 1193, 338, 5157, 316, 2652, 1412, 340, 262, 2187, 2018, 1193, 338, 815, 1193, 338, 18622, 2897, 19304, 338, 5157, 3910, 1598, 338, 5157, 4940, 21639, 15405, 1038, 1775, 6834, 476, 272, 454, 825, 1820, 19304, 338, 994, 10852, 3890, 0, 454, 327, 580, 4554, 815, 10581, 9272, 2891, 11767, 519, 5207, 10917, 614, 1155, 538, 476, 1015, 6377, 9472, 281, 27363, 869, 652, 815, 10581, 9272, 2891, 11767, 519, 9803, 10917, 614, 1155, 538, 476, 1015, 6377, 9472, 281, 27363, 2745, 2891, 19152, 519, 10917, 614, 1155, 693, 29869, 689, 1554, 272, 547, 1554, 1015, 15419, 1485, 272, 815, 10581, 9272, 2891, 1485, 272, 281, 27328, 1485, 273, 815, 10581, 9272, 2891, 1485, 273, 281, 27328, 1485, 274, 815, 10581, 9272, 2891, 1485, 274, 281, 27328, 1485, 275, 815, 10581, 9272, 2891, 1485, 275, 281, 27328, 1485, 276, 815, 10581, 9272, 2891, 1485, 276, 281, 27328, 1485, 277, 815, 10581, 9272, 2891, 1485, 277, 281, 27328, 1485, 278, 815, 10581, 9272, 2891, 1485, 278, 281, 27328, 1485, 279, 815, 10581, 9272, 2891, 1485, 279, 281, 27328, 1485, 280, 815, 10581, 9272, 2891, 1485, 280, 281, 27328, 1485, 1015, 815, 10581, 9272, 2891, 1485, 1015, 281, 834, 264, 9239, 258, 9373, 519, 5207, 2837, 538, 17622, 538, 476, 1015, 6377, 9472, 454, 327, 580, 4554, 318, 1015, 1485, 815, 10581, 9272, 2891, 11767, 519, 5207, 1661, 1440, 1155, 538, 476, 1015, 6377, 2062, 322, 553, 564, 538, 17622, 281, 8442, 2020, 289, 17955, 815, 476, 3953, 454, 4596, 309, 8991, 12778, 318, 293, 16898, 3036, 815, 476, 280, 269, 271, 1315, 476, 276, 269, 271, 454, 293, 1695, 307, 11391, 815, 630, 15615, 22607, 580, 4554, 318, 1015, 1485, 264, 2608, 2910, 309, 8991, 12778, 318, 293, 16898, 3036, 1341, 645, 17955, 2020, 2745, 2891, 763, 3017, 1063, 5207, 543, 9803, 2837, 538, 476, 1015, 6377, 9472, 568, 14307, 327, 580, 4554, 910, 9803, 994, 2745, 2891, 30182, 2837, 693, 29869, 10567, 585, 519, 476, 1015, 1554, 9472, 568, 20350, 825, 630, 1485, 272, 1341, 1554, 273, 1341, 1554, 274, 1341, 1554, 275, 1341, 1554, 276, 1341, 1554, 277, 1341, 1554, 278, 1341, 1554, 279, 1341, 1554, 280, 1341, 1554, 1015, 8358, 1015, 2437, 19592, 4181, 5602, 2745, 2891, 295, 580, 4554, 2837, 689, 17622, 547, 18278, 1131, 581, 2580, 5180, 263, 293, 1695, 307, 11391, 267, 476, 273, 1070, 257, 19592, 4181, 257, 3738, 0, 5814, 2979, 454, 3698, 1292, 10031, 825, 5086, 815, 10581, 9272, 2891, 11767, 606, 5086, 281, 27363, 825, 1820, 2891, 763, 25482, 540, 2580, 4120, 2437, 529, 2580, 4118, 269, 6523, 263, 4118, 269, 2784, 2103, 263, 4120, 21875, 825, 1820, 2891, 763, 20534, 540, 2580, 4120, 2437, 529, 2580, 4118, 4732, 514, 263, 4118, 269, 2784, 2103, 263, 4120, 21875, 10852, 3890, 0, 5814, 19523, 454, 5814, 2979, 692, 31709, 815, 703, 4433, 903, 27769, 341, 314, 272, 8079, 1948, 5192, 519, 8953, 689, 4971, 1899, 454, 1721, 1535, 538, 2039, 263, 31709, 2608, 476, 273, 1341, 476, 272, 2187, 825, 585, 586, 538, 2039, 263, 31709, 2608, 476, 273, 1341, 476, 272, 2187, 1038, 8880, 815, 2612, 3287, 910, 8953, 264, 1948, 12433, 519, 8880, 3845, 689, 1699, 4087, 547, 519, 4099, 540, 5858, 454, 1038, 7299, 815, 2612, 12169, 910, 8953, 264, 1948, 12433, 519, 7299, 3845, 689, 519, 1699, 4087, 547, 519, 4099, 540, 5858, 454, 1038, 1253, 815, 2979, 28460, 263, 1817, 714, 7267, 2878, 476, 273, 1341, 7299, 2878, 476, 273, 264, 1948, 12433, 519, 4890, 3845, 454, 1038, 952, 1253, 2999, 8953, 281, 1948, 7179, 1412, 334, 262, 952, 519, 4087, 568, 1369, 519, 8953, 540, 5858, 267, 6382, 1820, 2230, 454, 2018, 1820, 2891, 334, 2580, 754, 284, 3269, 994, 1038, 3116, 912, 2018, 1820, 2891, 14307, 754, 284, 3269, 994, 825, 1820, 3890, 0, 5814, 21267, 28272, 607, 12301, 454, 5814, 15259, 454, 5228, 1449, 1104, 27661, 5228, 1239, 1104, 2608, 692, 3698, 5721, 3287, 267, 586, 267, 544, 2187, 453, 18851, 307, 1778, 593, 519, 2418, 547, 1205, 23940, 271, 543, 23940, 272, 20701, 825, 1948, 20813, 2682, 2866, 454, 825, 1565, 318, 3433, 815, 476, 271, 269, 274, 454, 825, 22184, 815, 476, 1911, 454, 825, 31575, 271, 815, 476, 271, 454, 825, 31575, 272, 815, 476, 271, 22562, 825, 585, 1775, 538, 2039, 263, 271, 267, 22184, 2187, 1038, 13506, 271, 815, 476, 271, 454, 1038, 13506, 272, 815, 476, 271, 28329, 453, 453, 258, 8196, 10151, 2418, 547, 3589, 543, 4188, 23940, 271, 543, 23940, 272, 3097, 1038, 585, 4994, 538, 2039, 263, 271, 267, 544, 2187, 2018, 533, 815, 3589, 8443, 343, 27709, 316, 3910, 31575, 271, 267, 31575, 272, 25011, 271, 2639, 2018, 13506, 271, 6834, 533, 910, 586, 27709, 2639, 2018, 13506, 272, 6834, 630, 335, 910, 586, 27709, 8079, 2608, 1535, 27709, 2639, 13872, 1038, 31575, 271, 20699, 1565, 318, 3433, 1315, 544, 2608, 13506, 271, 454, 1038, 31575, 272, 20699, 1565, 318, 3433, 1315, 332, 2608, 13506, 272, 28329, 825, 2132, 31575, 271, 267, 31575, 272, 7531, 3698, 3044, 318, 22563, 2747, 29254, 267, 1611, 13448, 267, 544, 2187, 825, 11539, 815, 476, 271, 454, 825, 585, 1535, 538, 17093, 9131, 14790, 11172, 912, 1038, 11539, 6834, 630, 343, 910, 1611, 13448, 264, 2878, 476, 273, 22562, 825, 521, 323, 815, 630, 22563, 2747, 1315, 544, 264, 2878, 476, 271, 269, 276, 22562, 825, 2132, 521, 323, 692, 3698, 1292, 10031, 8931, 453, 258, 19723, 1518, 952, 1239, 27406, 6818, 454, 825, 952, 711, 15259, 29624, 18994, 12803, 2891, 907, 270, 11907, 7933, 1092, 27406, 257, 2187, 1038, 1820, 2891, 907, 270, 11907, 7933, 1092, 27406, 711, 1336, 23528, 1038, 14827, 10797, 825, 17093, 815, 1205, 5091, 21648, 564, 4590, 8931, 825, 1948, 2181, 6768, 2418, 585, 519, 2866, 454, 825, 544, 815, 7003, 29254, 9131, 14790, 262, 7481, 825, 2040, 13448, 815, 2040, 29254, 9131, 14790, 262, 7481, 825, 1611, 13448, 815, 2040, 13448, 1315, 544, 454, 825, 521, 323, 815, 3044, 318, 22563, 2747, 29254, 267, 1611, 13448, 267, 544, 994, 825, 17093, 9131, 343, 11172, 815, 27883, 343, 910, 1611, 13448, 264, 1315, 521, 323, 585, 1535, 538, 17093, 9131, 14790, 11172, 2639, 8931, 825, 1948, 1326, 10151, 2418, 585, 23940, 271, 543, 23940, 272, 454, 825, 31575, 271, 267, 31575, 272, 815, 5721, 29254, 9131, 343, 28710, 17093, 9131, 23748, 28710, 544, 994, 8931, 453, 258, 1326, 23940, 271, 543, 23940, 272, 454, 825, 23940, 271, 815, 31575, 271, 910, 31575, 272, 2608, 1611, 13448, 1315, 521, 323, 454, 825, 23940, 272, 815, 31575, 272, 1315, 521, 323, 22562, 453, 258, 7120, 2418, 454, 825, 533, 815, 3589, 29254, 9131, 14790, 28710, 23940, 271, 267, 23940, 272, 994, 825, 4729, 9638, 267, 17093, 9131, 14790, 28710, 17093, 9131, 23748, 28710, 23940, 271, 267, 23940, 272, 994, 8931, 453, 258, 338, 1511, 23940, 271, 543, 23940, 272, 538, 23940, 17902, 454, 825, 2418, 815, 1193, 263, 9064, 271, 264, 1341, 1412, 315, 333, 262, 1341, 1193, 263, 9064, 272, 994, 8931, 825, 609, 1930, 3488, 907, 270, 11907, 270, 9064, 17902, 3299, 1412, 342, 10807, 607, 535, 323, 912, 1038, 535, 323, 22182, 263, 11161, 994, 13872, 825, 1820, 3488, 907, 270, 11907, 270, 9064, 17902, 729, 2813, 269, 5073, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 8931, 8931, 0, 5814, 28957, 454, 2745, 2891, 1432, 1893, 798, 596, 1616, 547, 946, 286, 7392, 1315, 331, 16722, 547, 1294, 782, 27704, 257, 12467, 313, 815, 3403, 4590, 9172, 9955, 815, 9497, 13433, 2580, 1412, 8133, 3299, 1412, 312, 2464, 12887, 312, 3299, 1412, 344, 3299, 1412, 28027, 3299, 1412, 9686, 3299, 1412, 396, 498, 3299, 1412, 396, 498, 396, 494, 3299, 1412, 396, 498, 3522, 262, 1412, 10937, 3299, 1412, 297, 288, 3299, 1412, 302, 14241, 3299, 1412, 537, 328, 22779, 20930, 1412, 15159, 7511, 12887, 5622, 3299, 1412, 302, 334, 3299, 1412, 338, 6403, 3299, 1412, 339, 752, 3299, 1412, 7430, 480, 11210, 488, 3299, 834, 31333, 2580, 1412, 19561, 3299, 1412, 309, 5889, 978, 3299, 1412, 341, 5889, 978, 3299, 1412, 297, 320, 5073, 331, 836, 815, 9598, 4590, 3698, 5758, 10031, 453, 29514, 2098, 454, 453, 29514, 12226, 454, 453, 342, 7364, 15630, 9078, 836, 263, 313, 994, 14851, 2098, 2652, 834, 523, 257, 610, 2098, 2652, 834, 5319, 13426, 453, 453, 339, 868, 815, 1496, 834, 1432, 798, 596, 1616, 547, 1265, 286, 2580, 834, 3674, 713, 2012, 2953, 286, 962, 21610, 2580, 834, 13014, 1776, 7662, 31116, 14851, 2098, 2652, 834, 745, 257, 610, 2098, 2652, 834, 305, 308, 13426, 453, 453, 339, 868, 815, 22373, 396, 356, 26580, 11714, 9924, 16044, 483, 3378, 28821, 16021, 21660, 13953, 28821, 286, 2580, 834, 396, 509, 13077, 8563, 4138, 23783, 21170, 2843, 375, 4138, 11714, 8563, 29391, 12811, 3378, 21660, 13194, 27593, 17221, 3264, 286, 2843, 498, 270, 396, 507, 20350, 15235, 453, 257, 396, 509, 13833, 4344, 18775, 4138, 16021, 11714, 3522, 20732, 30935, 10528, 4814, 25974, 31116, 14851, 2098, 2652, 834, 10937, 257, 610, 2098, 2652, 476, 834, 297, 288, 13426, 453, 453, 339, 868, 815, 22373, 12916, 499, 11210, 496, 26406, 351, 7430, 501, 7430, 509, 7430, 482, 28374, 7430, 489, 5405, 509, 2580, 834, 7430, 497, 28374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 1467, 18622, 2897, 3488, 22207, 5257, 1040, 20889, 3488, 281, 10807, 314, 272, 7481, 3546, 1642, 11105, 24624, 11468, 2639, 3546, 585, 1775, 538, 2039, 28840, 15058, 17045, 2187, 7386, 11105, 24624, 6910, 8443, 7481, 3546, 1820, 2891, 23917, 540, 5440, 1108, 2433, 4939, 338, 257, 260, 263, 6352, 263, 29951, 8809, 24624, 21875, 3546, 2450, 6958, 895, 815, 6936, 454, 1038, 3116, 912, 2018, 1376, 318, 5976, 5091, 13424, 815, 556, 6230, 2255, 3488, 23373, 323, 3299, 1467, 264, 476, 10310, 7462, 6744, 952, 519, 5569, 6238, 609, 513, 7857, 476, 19399, 7462, 454, 2018, 952, 1376, 318, 5976, 5091, 13424, 568, 711, 7183, 912, 3546, 1899, 815, 1899, 18622, 2897, 3488, 1412, 10086, 5073, 3546, 6843, 16182, 815, 703, 263, 1467, 314, 271, 281, 1467, 28827, 3488, 3488, 264, 7481, 3546, 11105, 5332, 3941, 815, 4230, 7456, 527, 1968, 21223, 1998, 263, 1467, 314, 1467, 28827, 3488, 264, 10807, 266, 272, 281, 7481, 3546, 585, 6843, 16229, 538, 2039, 12759, 263, 29951, 8809, 5332, 3941, 15892, 7386, 11105, 5332, 3941, 19559, 1712, 16229, 316, 20699, 476, 272, 454, 3546, 11105, 24624, 19559, 1712, 16182, 268, 272, 316, 815, 11105, 5332, 3941, 692, 3698, 1612, 572, 19963, 17239, 2862, 303, 4671, 641, 1108, 6025, 641, 1108, 18316, 12173, 267, 11105, 24624, 2187, 825, 15981, 303, 12838, 513, 17239, 2862, 303, 23289, 2433, 15311, 2415, 272, 281, 8745, 540, 519, 23289, 3758, 267, 2415, 273, 281, 11105, 24624, 18411, 825, 23289, 7272, 334, 5793, 815, 1930, 6025, 641, 1108, 18316, 12173, 267, 1412, 337, 266, 5073, 825, 1642, 11105, 24624, 11468, 2639, 825, 585, 1899, 538, 23289, 7272, 334, 5793, 912, 1038, 1899, 815, 1899, 18622, 2897, 28361, 333, 3299, 1412, 5073, 1038, 1376, 318, 5976, 5091, 13424, 815, 556, 6230, 2255, 3488, 23373, 323, 3299, 1467, 264, 476, 476, 10310, 7462, 6744, 952, 519, 5569, 6238, 609, 513, 7857, 476, 19399, 7462, 454, 1038, 952, 1376, 318, 5976, 5091, 13424, 568, 711, 7183, 912, 2018, 1899, 815, 1899, 18622, 2897, 3488, 22207, 1412, 5073, 2018, 6843, 16182, 815, 703, 263, 1467, 314, 271, 281, 1467, 28827, 3488, 3488, 264, 7481, 2018, 11105, 5332, 3941, 815, 4230, 7456, 527, 1968, 21223, 1998, 263, 1467, 314, 1467, 28827, 3488, 264, 10807, 1341, 476, 272, 281, 7481, 2018, 585, 6843, 16229, 538, 2039, 12759, 263, 29951, 8809, 5332, 3941, 15892, 3546, 11105, 5332, 3941, 19559, 1712, 16229, 316, 20699, 476, 272, 454, 2018, 11105, 24624, 6910, 263, 29951, 8809, 5332, 3941, 994, 825, 23289, 7272, 334, 5793, 25379, 4590, 825, 1948, 1820, 3488, 3849, 329, 8809, 4939, 338, 262, 260, 263, 29951, 8809, 24624, 11723, 3698, 1612, 572, 19963, 17239, 2862, 303, 4671, 641, 1108, 318, 6798, 5091, 27399, 6025, 641, 1108, 18316, 12173, 267, 11105, 24624, 29679, 677, 17045, 25716, 2187, 825, 15981, 303, 12838, 513, 17239, 2862, 303, 23289, 2433, 15311, 2415, 272, 281, 8745, 540, 519, 23289, 3758, 267, 2415, 273, 281, 11105, 24624, 18411, 825, 23289, 7272, 334, 5793, 815, 1930, 6025, 641, 1108, 18316, 12173, 267, 1412, 337, 266, 5073, 825, 1642, 11105, 24624, 11468, 2639, 825, 585, 1899, 538, 23289, 7272, 334, 5793, 912, 1038, 1899, 815, 1899, 18622, 2897, 28361, 333, 3299, 1412, 5073, 1038, 1376, 318, 5976, 5091, 13424, 815, 556, 6230, 2255, 3488, 23373, 323, 3299, 1467, 264, 476, 476, 10310, 7462, 6744, 952, 519, 5569, 6238, 609, 513, 7857, 476, 19399, 7462, 454, 1038, 952, 1376, 318, 5976, 5091, 13424, 568, 711, 7183, 912, 2018, 1899, 815, 1899, 18622, 2897, 3488, 22207, 1412, 5073, 2018, 6843, 16182, 815, 703, 263, 1467, 314, 271, 281, 1467, 28827, 3488, 3488, 264, 7481, 2018, 11105, 5332, 3941, 815, 4230, 7456, 527, 1968, 21223, 1998, 263, 1467, 314, 1467, 28827, 3488, 264, 10807, 1341, 476, 272, 281, 7481, 2018, 585, 6843, 16229, 538, 2039, 12759, 263, 29951, 8809, 5332, 3941, 15892, 3546, 11105, 5332, 3941, 19559, 1712, 16229, 316, 20699, 476, 272, 454, 2018, 11105, 24624, 6910, 17338, 263, 3553, 263, 29951, 8809, 5332, 3941, 21875, 825, 23289, 7272, 334, 5793, 25379, 10797, 825, 585, 6843, 16182, 538, 2039, 12759, 263, 29951, 8809, 24624, 15892, 1038, 585, 7755, 17045, 538, 11105, 24624, 19559, 1712, 16182, 14158, 2018, 952, 6843, 16182, 711, 538, 11105, 24624, 314, 29951, 17045, 14158, 3546, 11105, 24624, 314, 29951, 17045, 4940, 6572, 27316, 16182, 2020, 825, 952, 4990, 17045, 912, 1038, 585, 6843, 16182, 538, 2039, 12759, 263, 29951, 8809, 24624, 15892, 2018, 11105, 24624, 19559, 1712, 16182, 316, 815, 15044, 263, 29951, 8809, 24624, 19559, 1712, 16182, 20285, 825, 1948, 1820, 2891, 3849, 329, 659, 1890, 19336, 4939, 338, 257, 260, 263, 29951, 8809, 24624, 4297, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 4067, 284, 6358, 3488, 20756, 1548, 32075, 338, 707, 2012, 286, 315, 333, 5073, 2745, 2891, 20756, 14307, 4067, 2437, 267, 8799, 547, 2743, 596, 2580, 994, 10310, 1012, 454, 10310, 1012, 7531, 0, 5814, 13483, 29411, 274, 692, 258, 30787, 909, 519, 6538, 454, 28947, 815, 13483, 29411, 274, 269, 6618, 2891, 11687, 5091, 520, 15390, 6155, 321, 5602, 258, 28947, 815, 13483, 29411, 274, 269, 6618, 3488, 281, 332, 25514, 282, 17210, 258, 15973, 21899, 2066, 519, 4276, 454, 322, 815, 4276, 269, 19387, 10797, 258, 17730, 3349, 454, 322, 20216, 31146, 2891, 290, 3918, 12442, 570, 21764, 4658, 263, 5575, 11243, 570, 28692, 267, 7831, 11243, 570, 28692, 267, 6520, 21850, 264, 15419, 258, 11900, 1068, 532, 1239, 883, 3349, 454, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 4658, 966, 3201, 308, 2464, 3488, 305, 517, 3299, 1412, 11917, 2365, 3299, 476, 5655, 264, 15419, 28947, 2593, 2466, 10797, 28947, 25379, 4590, 0, 18851, 763, 3758, 3568, 782, 519, 476, 1911, 267, 1822, 9981, 1063, 476, 272, 543, 476, 1911, 267, 1822, 630, 10175, 1312, 264, 538, 930, 4351, 1931, 263, 1100, 8870, 568, 7368, 1916, 7312, 4305, 568, 547, 1265, 519, 1297, 540, 538, 951, 687, 538, 519, 3758, 2016, 630, 22336, 4737, 814, 513, 2582, 8870, 1063, 476, 272, 543, 476, 1911, 267, 1822, 1040, 27539, 707, 5044, 568, 689, 476, 272, 547, 476, 1911, 267, 1822, 543, 476, 603, 4737, 540, 519, 3758, 3947, 596, 519, 476, 603, 7127, 540, 519, 5044, 563, 2237, 513, 1982, 543, 2196, 936, 519, 3758, 2016, 269, 634, 25948, 2626, 1058, 581, 2854, 538, 519, 2230, 563, 3383, 952, 707, 2626, 568, 476, 15686, 279, 2537, 29575, 278, 267, 1287, 1175, 1826, 476, 15686, 279, 2537, 29575, 278, 538, 519, 2230, 3177, 1510, 1022, 2230, 1315, 862, 553, 1315, 1022, 824, 18685, 7436, 269, 1411, 666, 1118, 15399, 334, 476, 276, 8942, 267, 543, 649, 3513, 1293, 519, 1655, 835, 585, 21249, 563, 20701, 3698, 4990, 318, 663, 18045, 263, 6783, 2187, 825, 5727, 14303, 5281, 519, 15044, 5044, 543, 519, 1297, 540, 538, 951, 687, 12163, 825, 3259, 815, 7003, 263, 6783, 994, 825, 952, 3259, 10922, 272, 912, 1038, 2132, 630, 6783, 267, 476, 271, 994, 825, 630, 3847, 267, 1293, 318, 3847, 264, 815, 4990, 318, 663, 18045, 263, 6783, 11468, 26319, 270, 273, 7481, 825, 630, 2431, 267, 1293, 318, 2431, 264, 815, 4990, 318, 663, 18045, 263, 6783, 314, 26319, 270, 273, 281, 7481, 825, 630, 1067, 3022, 267, 1293, 5334, 5902, 264, 815, 19467, 318, 663, 18045, 5334, 5902, 263, 3847, 267, 1318, 994, 825, 2132, 630, 1067, 3022, 2073, 1293, 318, 3847, 266, 12248, 318, 2431, 266, 12248, 5334, 5902, 2020, 3698, 19467, 318, 663, 18045, 5334, 5902, 263, 3847, 267, 1318, 2187, 825, 5727, 14303, 5281, 513, 24673, 5044, 540, 1079, 15044, 1016, 541, 7590, 543, 519, 1297, 540, 454, 825, 538, 951, 687, 17364, 689, 2451, 851, 547, 1318, 851, 12163, 825, 24673, 815, 11713, 825, 2698, 267, 1775, 267, 795, 815, 476, 271, 267, 476, 271, 267, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 263, 3847, 264, 543, 795, 2999, 7003, 263, 2431, 2187, 1038, 952, 2451, 5157, 316, 10922, 1318, 14728, 14158, 2018, 24673, 6910, 263, 3847, 5157, 7481, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 24673, 6910, 263, 2431, 14728, 7481, 2018, 795, 6834, 476, 272, 454, 2018, 2698, 6834, 7003, 263, 3847, 264, 910, 1775, 454, 825, 952, 1775, 2999, 7003, 263, 3847, 2187, 1038, 24673, 269, 2169, 754, 263, 3847, 5157, 281, 7481, 825, 3116, 912, 1038, 24673, 269, 2169, 754, 263, 2431, 14728, 281, 7481, 825, 2132, 630, 1067, 3022, 267, 2698, 2020, 325, 815, 1930, 3488, 18204, 518, 26161, 17902, 3299, 1412, 337, 5073, 333, 4548, 815, 4786, 17301, 267, 535, 18667, 6050, 15405, 325, 25379, 10797, 4433, 9285, 267, 12679, 687, 264, 815, 4990, 318, 663, 18045, 25225, 994, 2745, 12679, 687, 454, 0, 12163, 15575, 338, 519, 1297, 540, 8320, 540, 513, 2016, 7746, 1826, 585, 513, 2016, 3009, 454, 20701, 5814, 26417, 267, 19523, 692, 300, 2562, 318, 305, 2464, 303, 2177, 10345, 318, 4596, 7419, 307, 815, 476, 1911, 271, 476, 1948, 763, 5934, 1297, 540, 2053, 513, 3210, 3009, 1590, 2408, 547, 581, 2808, 454, 300, 2562, 318, 306, 2207, 23615, 318, 4596, 7419, 307, 815, 476, 4335, 476, 1948, 763, 5934, 1297, 540, 2053, 513, 7746, 1826, 1590, 2408, 547, 581, 2808, 692, 3698, 1292, 263, 1173, 341, 17107, 825, 1102, 850, 815, 2415, 341, 314, 271, 2639, 825, 856, 12803, 815, 2415, 341, 314, 272, 6540, 825, 5467, 815, 26417, 18667, 518, 31526, 263, 8882, 850, 267, 834, 337, 27363, 825, 5856, 815, 26417, 9884, 31581, 31526, 263, 719, 12803, 267, 1412, 342, 22065, 1070, 1642, 574, 3438, 8782, 315, 339, 5073, 8931, 825, 20927, 5715, 1182, 815, 15079, 1948, 22056, 513, 9598, 585, 2653, 1413, 1575, 22562, 825, 1948, 291, 17152, 547, 1293, 6114, 454, 825, 7746, 15575, 815, 15079, 2018, 1948, 32513, 6696, 701, 267, 1297, 540, 2049, 1734, 454, 825, 7746, 25215, 2945, 15575, 815, 15079, 825, 1948, 291, 1112, 540, 9598, 338, 454, 825, 3210, 15575, 815, 15079, 16875, 1948, 25215, 2945, 24927, 267, 1297, 540, 2049, 1734, 454, 825, 2698, 15575, 815, 476, 271, 23526, 1948, 13707, 1297, 540, 3210, 9479, 630, 1410, 6984, 16053, 2020, 825, 20927, 305, 578, 815, 5467, 12785, 4590, 825, 585, 1775, 267, 4067, 538, 26246, 263, 3650, 518, 305, 578, 2187, 1038, 20927, 5715, 1182, 314, 4067, 316, 815, 1775, 22562, 825, 585, 4737, 538, 5467, 1384, 1038, 1948, 306, 5902, 4528, 5569, 454, 1038, 7746, 11243, 815, 4737, 314, 20927, 5715, 1182, 9131, 11437, 11172, 476, 4940, 20889, 3488, 1412, 25011, 271, 6540, 1038, 1948, 296, 3913, 648, 8900, 4408, 910, 1100, 1239, 1934, 454, 1038, 952, 630, 338, 13996, 11243, 2652, 834, 8442, 10778, 2018, 3136, 454, 1038, 952, 630, 338, 13996, 11243, 2652, 29038, 8442, 10778, 2018, 3136, 692, 1038, 1948, 8196, 513, 4528, 10799, 532, 454, 1038, 4528, 14813, 334, 815, 7746, 11243, 21858, 3488, 270, 5073, 1038, 1247, 7003, 263, 11437, 14813, 334, 264, 2999, 476, 273, 912, 2018, 4528, 14813, 334, 6910, 3488, 5073, 1038, 7746, 13911, 815, 4528, 14813, 334, 314, 271, 2639, 1038, 7746, 309, 619, 542, 815, 4528, 14813, 334, 314, 272, 2639, 4449, 8931, 1038, 1948, 19102, 618, 519, 17523, 454, 1038, 7746, 15575, 314, 338, 13996, 11243, 316, 815, 7746, 15575, 10947, 4433, 13996, 11243, 267, 476, 271, 264, 1341, 476, 272, 28329, 1038, 952, 630, 338, 13996, 25215, 2945, 15575, 269, 13757, 318, 4486, 4433, 13996, 11243, 15892, 2018, 713, 306, 13996, 25215, 2945, 15575, 815, 7746, 25215, 2945, 15575, 314, 338, 13996, 11243, 2639, 1038, 3116, 912, 2018, 713, 306, 13996, 25215, 2945, 15575, 815, 2715, 10926, 1038, 1948, 7049, 4733, 519, 3210, 9479, 454, 1038, 3210, 290, 3941, 815, 11713, 1038, 3210, 290, 3941, 6910, 19304, 21405, 314, 20927, 5715, 1182, 9131, 7528, 652, 13911, 11172, 8079, 1341, 1412, 281, 262, 1341, 1193, 21405, 314, 20927, 5715, 1182, 9131, 560, 9850, 11172, 28413, 1038, 3210, 290, 3941, 6910, 19304, 21405, 314, 20927, 5715, 1182, 9131, 7528, 652, 13911, 11172, 8079, 1341, 1412, 281, 8002, 783, 28694, 21920, 281, 262, 1341, 1598, 21405, 314, 20927, 5715, 1182, 9131, 716, 783, 28694, 21920, 11172, 28413, 1038, 3210, 290, 3941, 6910, 19304, 21405, 314, 20927, 5715, 1182, 9131, 7528, 652, 13911, 11172, 8079, 1341, 1412, 281, 28694, 13270, 276, 281, 262, 1341, 1598, 21405, 314, 20927, 5715, 1182, 9131, 7853, 13270, 276, 11172, 28413, 1038, 2212, 619, 815, 859, 531, 21405, 314, 20927, 5715, 1182, 9131, 3650, 518, 11172, 7481, 1038, 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 ]
[ 0, 1103, 713, 1957, 267, 649, 8831, 2757, 2409, 540, 8901, 7194, 547, 1353, 22883, 3999, 32294, 21374, 1063, 1079, 1114, 1448, 3157, 269, 2991, 10962, 519, 12191, 267, 649, 4019, 713, 2079, 547, 513, 1880, 2013, 1353, 540, 1719, 538, 14498, 267, 519, 5872, 1063, 3441, 676, 513, 1880, 4104, 11641, 630, 13523, 838, 16078, 5229, 11988, 630, 290, 1817, 626, 821, 3120, 1624, 1211, 23653, 4297, 543, 4104, 11642, 269, 3776, 2079, 267, 799, 6227, 2694, 540, 3703, 12052, 538, 519, 476, 2918, 4458, 1974, 689, 476, 3192, 271, 547, 476, 1960, 276, 267, 6920, 602, 2127, 4299, 676, 5229, 11988, 23588, 723, 513, 3648, 8519, 1981, 540, 4104, 3595, 585, 519, 476, 278, 1296, 1739, 519, 23588, 269, 17957, 267, 4104, 11642, 6175, 519, 1981, 540, 23588, 585, 693, 2547, 476, 277, 1296, 1310, 519, 3595, 269, 1452, 13796, 21374, 8831, 936, 513, 8901, 2039, 540, 693, 2547, 476, 1839, 5998, 269, 3776, 1353, 7947, 338, 519, 1455, 13429, 602, 5521, 23588, 8209, 2164, 538, 2799, 3595, 1981, 269, 901, 2013, 1353, 14550, 519, 10626, 540, 1448, 1184, 9781, 543, 8901, 7194, 547, 1620, 5117, 6384, 14178, 936, 1312, 2230, 543, 942, 563, 300, 29868, 2917, 17990, 596, 942, 4466, 543, 12180, 1382, 454, 16521, 513, 11239, 2511, 689, 519, 29601, 2630, 0, 4910, 792, 7815, 693, 623, 13453, 2160, 31205, 1500, 606, 8343, 540, 476, 272, 267, 5379, 272, 586, 27681, 28542, 585, 513, 1974, 540, 2947, 1296, 547, 9959, 602, 2021, 616, 3592, 7466, 2693, 547, 581, 11763, 547, 586, 11921, 982, 2367, 563, 2171, 1419, 586, 11921, 610, 12701, 950, 649, 12687, 909, 610, 950, 649, 616, 3207, 344, 543, 19252, 543, 849, 950, 649, 1294, 2576, 586, 11921, 269, 3509, 3744, 723, 2322, 8521, 1082, 6436, 547, 2626, 607, 547, 1946, 649, 586, 11921, 543, 713, 1353, 4267, 4008, 10391, 3210, 547, 586, 27681, 563, 288, 1268, 586, 27681, 16425, 4991, 513, 3210, 689, 930, 824, 1268, 3257, 519, 1482, 3364, 543, 713, 568, 606, 957, 540, 6568, 269, 6468, 796, 4621, 19290, 17932, 519, 957, 540, 824, 1268, 1813, 547, 519, 2362, 1377, 540, 6568, 563, 24464, 607, 1134, 607, 2021, 1312, 4431, 547, 586, 11921, 31380, 693, 1482, 2557, 543, 2021, 4043, 547, 2132, 586, 11921, 811, 16425, 607, 789, 616, 19038, 693, 1620, 1018, 1866, 616, 4743, 543, 741, 2702, 547, 26003, 1125, 609, 8284, 1268, 563, 312, 27681, 6238, 538, 1480, 607, 2038, 607, 1310, 476, 736, 4374, 540, 17748, 269, 634, 957, 540, 586, 27681, 4386, 538, 3592, 782, 30900, 1519, 3165, 543, 1256, 5017, 269, 962, 27681, 568, 513, 10859, 19581, 27035, 2962, 799, 568, 6417, 676, 519, 20968, 31726, 540, 519, 2634, 563, 28606, 17067, 1382, 729, 2944, 547, 6961, 602, 586, 27681, 568, 21380, 1256, 538, 2362, 2831, 971, 607, 3284, 525, 543, 22171, 269, 4634, 4775, 538, 3284, 525, 616, 811, 12155, 547, 519, 586, 27681, 15435, 982, 9038, 563, 12867, 849, 8612, 602, 519, 586, 11921, 536, 719, 3928, 616, 2693, 547, 581, 3648, 2539, 1063, 29872, 1734, 607, 3379, 547, 2828, 543, 1894, 563, 7804, 4432, 529, 2896, 3279, 6022, 698, 328, 267, 689, 519, 2160, 540, 623, 13453, 538, 7977, 1767, 1412, 763, 4625, 1007, 4466, 540, 713, 1353, 568, 602, 896, 2067, 2175, 2021, 689, 938, 2551, 3732, 19131, 13124, 586, 1177, 2740, 693, 3648, 2362, 3928, 982, 2367, 2437, 2687, 547, 21708, 5240, 563, 1607, 1353, 9090, 7028, 519, 4540, 5626, 543, 5778, 6798, 1670, 2090, 602, 2491, 519, 3152, 26003, 545, 5759, 540, 2021, 607, 3379, 547, 2367, 269, 0, 763, 14418, 26112, 476, 272, 560, 13175, 891, 23572, 1369, 519, 476, 273, 526, 2540, 7460, 267, 593, 519, 1413, 719, 585, 32668, 543, 22471, 559, 5790, 585, 9066, 267, 7132, 789, 4092, 891, 23572, 827, 519, 15113, 1938, 563, 23208, 4936, 4056, 23554, 745, 341, 3780, 6045, 538, 1010, 3069, 540, 1318, 6189, 267, 519, 17114, 540, 513, 812, 563, 288, 2603, 540, 1004, 3765, 20412, 566, 6263, 3601, 585, 6213, 25481, 602, 3761, 513, 30050, 2179, 540, 5600, 585, 2653, 23029, 19601, 5278, 1806, 540, 666, 976, 616, 4092, 538, 519, 12591, 540, 707, 476, 272, 560, 10601, 14514, 4936, 11629, 23554, 745, 341, 3780, 269, 2368, 540, 634, 1883, 2038, 1806, 540, 666, 4577, 6189, 616, 3909, 563, 763, 19466, 11265, 9333, 752, 902, 941, 1373, 519, 3889, 540, 705, 2041, 903, 543, 3032, 1117, 23552, 269, 3245, 827, 476, 12010, 9460, 27477, 267, 519, 3527, 540, 519, 1079, 804, 518, 923, 543, 23194, 5443, 5645, 11265, 1344, 2429, 2342, 267, 4611, 538, 519, 3443, 26049, 6272, 4936, 525, 4302, 543, 20096, 563, 288, 4195, 598, 3256, 514, 1756, 6946, 29689, 609, 2470, 814, 3144, 3597, 538, 27526, 2749, 779, 6405, 26570, 269, 7991, 11768, 6109, 2483, 20751, 519, 11984, 1063, 519, 16431, 540, 6189, 543, 6071, 4070, 267, 519, 12021, 14206, 10601, 4056, 2274, 4856, 24650, 1512, 5206, 281, 834, 2791, 16926, 6149, 267, 3574, 267, 543, 6405, 267, 543, 609, 891, 2609, 596, 5269, 3601, 543, 5493, 2167, 281, 602, 568, 6157, 4070, 563, 2026, 3379, 547, 519, 6189, 540, 824, 1134, 1634, 623, 761, 345, 12027, 23602, 267, 891, 568, 2500, 616, 540, 519, 4698, 1227, 3486, 7121, 563, 1103, 6333, 2406, 540, 519, 1158, 19951, 267, 1256, 1141, 24284, 616, 2907, 3330, 513, 11931, 1184, 540, 1689, 267, 23029, 8677, 540, 3140, 610, 22300, 5169, 616, 538, 946, 269, 3245, 519, 4853, 1242, 772, 4732, 1421, 1280, 1383, 267, 3046, 985, 616, 5051, 1373, 3710, 769, 1899, 609, 513, 11768, 8246, 538, 2342, 538, 519, 476, 272, 560, 26992, 536, 576, 269, 634, 4229, 602, 1118, 513, 6422, 4720, 540, 11265, 2511, 538, 18497, 4259, 909, 616, 4749, 29680, 538, 519, 2777, 543, 3484, 269, 634, 1272, 540, 2834, 11570, 949, 1360, 1134, 581, 796, 5306, 1229, 676, 3833, 7654, 519, 1034, 1898, 2242, 3330, 741, 24284, 269, 634, 1004, 2221, 666, 581, 1967, 1947, 10437, 267, 519, 5396, 540, 513, 21257, 267, 543, 13359, 4961, 609, 1100, 13844, 519, 5267, 610, 519, 7287, 547, 7369, 741, 9821, 267, 4485, 267, 610, 10450, 563, 1432, 568, 17941, 31546, 15066, 6189, 11438, 593, 547, 1205, 14475, 538, 1896, 13980, 540, 519, 1158, 269, 9453, 513, 8969, 267, 31546, 15066, 3889, 1118, 909, 1034, 540, 519, 2638, 1250, 5816, 2966, 8608, 602, 11570, 1702, 1169, 2582, 1554, 269, 7216, 596, 666, 2119, 713, 856, 1480, 17260, 941, 5631, 6917, 269, 9603, 547, 513, 21045, 538, 5108, 519, 2883, 1533, 3459, 547, 2333, 4929, 20012, 9747, 10451, 2749, 6753, 799, 8057, 543, 7960, 7168, 3728, 538, 930, 8320, 267, 585, 3236, 602, 540, 3331, 485, 7614, 670, 7238, 344, 6686, 330, 538, 26277, 16288, 543, 7720, 1156, 14765, 11023, 334, 593, 519, 1473, 639, 9503, 31511, 538, 2413, 6377, 268, 11529, 1554, 9031, 563, 2690, 15751, 328, 267, 634, 13210, 540, 8167, 8694, 909, 1346, 602, 12199, 519, 4998, 2213, 1480, 3313, 267, 519, 13642, 5815, 563, 288, 476, 274, 6113, 2186, 540, 6469, 6189, 8383, 919, 519, 2319, 607, 606, 4244, 547, 519, 1770, 543, 568, 607, 513, 1267, 2146, 607, 1134, 607, 2123, 269, 898, 568, 1455, 538, 519, 11342, 3356, 540, 2527, 8027, 538, 519, 2413, 3618, 267, 676, 799, 7606, 610, 3885, 1265, 2713, 9351, 1312, 538, 2789, 17743, 902, 610, 538, 2582, 4559, 6383, 538, 2179, 269, 12243, 8027, 568, 1500, 676, 1896, 6163, 540, 4529, 281, 676, 18497, 2829, 547, 3160, 1125, 23029, 4170, 267, 676, 1119, 7847, 547, 10018, 513, 2703, 850, 11668, 3196, 267, 543, 676, 32540, 610, 22634, 3292, 547, 5838, 1927, 2818, 540, 513, 1362, 269, 634, 598, 3256, 514, 1756, 23029, 729, 3812, 10446, 676, 519, 11440, 14564, 540, 25196, 547, 979, 1134, 609, 4683, 6381, 543, 1317, 540, 519, 1977, 12075, 547, 3514, 6694, 2042, 563, 301, 684, 345, 807, 681, 1180, 534, 7236, 1767, 267, 834, 3528, 1259, 596, 1223, 1413, 1934, 540, 922, 12716, 10155, 6189, 4422, 936, 543, 1657, 519, 6198, 2188, 602, 621, 781, 538, 1455, 609, 824, 1480, 9443, 563, 763, 7592, 602, 10646, 513, 960, 540, 6189, 689, 824, 18705, 25481, 616, 630, 821, 264, 519, 29839, 689, 519, 1205, 519, 2816, 2944, 547, 1118, 946, 540, 676, 1480, 7919, 3622, 6340, 607, 1134, 607, 519, 13916, 540, 621, 547, 1367, 1480, 3527, 267, 630, 18314, 264, 634, 8669, 1465, 543, 7165, 775, 540, 519, 1599, 779, 2679, 267, 543, 630, 22764, 264, 519, 5872, 540, 6791, 543, 2035, 676, 1259, 540, 922, 3099, 269, 2353, 891, 3871, 991, 547, 581, 24009, 538, 6189, 269, 0, 288, 5774, 320, 7750, 20604, 476, 21327, 10101, 568, 4535, 593, 5147, 476, 4029, 267, 476, 1001, 278, 693, 519, 27951, 623, 7701, 3194, 12476, 538, 590, 747, 10224, 11662, 16804, 20124, 281, 524, 333, 337, 6983, 333, 2639, 290, 7776, 6970, 334, 267, 513, 27604, 5774, 320, 693, 519, 26728, 784, 623, 7701, 3194, 12476, 538, 590, 747, 10224, 11662, 267, 814, 1831, 519, 1101, 547, 6707, 19898, 609, 513, 5256, 689, 519, 3552, 563, 763, 476, 1428, 4458, 6040, 267, 945, 1185, 2016, 4332, 547, 476, 276, 7750, 338, 5892, 267, 729, 2322, 856, 883, 519, 3552, 609, 513, 9477, 27897, 593, 4728, 476, 272, 267, 476, 1001, 278, 269, 2991, 1373, 4547, 1394, 547, 519, 9744, 267, 3173, 941, 2111, 547, 2689, 1239, 689, 1200, 9477, 27897, 799, 814, 1336, 602, 1352, 6707, 544, 730, 609, 513, 5256, 9649, 5774, 320, 593, 4728, 476, 2537, 267, 476, 1001, 278, 563, 290, 7776, 6970, 334, 5795, 4332, 593, 5147, 476, 4029, 547, 513, 7750, 20604, 5111, 476, 21327, 10101, 269, 634, 3339, 2597, 540, 606, 3328, 5774, 320, 7750, 693, 4332, 568, 1472, 476, 5611, 10101, 563, 763, 3811, 4332, 568, 851, 540, 513, 6626, 1982, 547, 1711, 811, 4719, 4763, 1851, 519, 27604, 9649, 5774, 320, 2551, 563, 2467, 616, 4867, 476, 5325, 272, 27604, 9649, 21795, 1472, 519, 1158, 267, 609, 1472, 476, 6110, 540, 873, 693, 519, 27951, 623, 7701, 3194, 12476, 538, 590, 747, 10224, 269, 1677, 2333, 519, 4719, 9265, 540, 519, 2249, 538, 24811, 267, 519, 1382, 4099, 814, 13175, 3850, 9960, 8951, 547, 581, 2322, 1394, 883, 519, 3552, 585, 513, 942, 267, 609, 519, 4126, 540, 3811, 9960, 609, 519, 6059, 476, 12010, 9038, 1869, 887, 5446, 1851, 519, 10239, 538, 590, 747, 10224, 563, 313, 28702, 12920, 514, 267, 1244, 14280, 5883, 8689, 540, 3624, 11094, 543, 3194, 4741, 585, 519, 27951, 623, 7701, 267, 3081, 789, 2811, 9599, 676, 519, 1007, 4332, 267, 6031, 621, 781, 513, 1129, 602, 789, 949, 5555, 581, 2111, 547, 948, 29915, 622, 519, 3552, 5774, 320, 2551, 269, 0, 10403, 1557, 593, 1379, 540, 30373, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 269, 10749, 538, 30373, 18410, 14657, 875, 2565, 3206, 666, 948, 4702, 1053, 4742, 3860, 269, 11879, 3594, 593, 30373, 676, 795, 2033, 28191, 523, 713, 568, 513, 7453, 1100, 5991, 334, 585, 519, 1655, 795, 23042, 3028, 519, 7479, 14515, 558, 2511, 1058, 581, 30664, 764, 762, 609, 1100, 6959, 610, 9073, 269, 1306, 4330, 538, 519, 17720, 6163, 267, 519, 12331, 540, 30373, 596, 616, 827, 547, 1451, 827, 593, 519, 1739, 3817, 979, 1394, 5215, 540, 1296, 547, 18211, 13444, 267, 513, 19967, 12100, 528, 6509, 269, 11879, 3594, 593, 11537, 910, 1205, 540, 1305, 515, 25395, 11537, 4465, 519, 2565, 3206, 3594, 2165, 593, 3584, 896, 4274, 1603, 10274, 543, 30373, 1557, 563, 32487, 1557, 2010, 4901, 30373, 2565, 1603, 3594, 1114, 1557, 2010, 543, 1557, 2497, 4901, 269, 13191, 28191, 523, 30373, 519, 1292, 3344, 540, 2486, 799, 2097, 896, 28191, 523, 781, 2565, 3750, 616, 519, 1920, 543, 513, 4015, 540, 2565, 3594, 840, 660, 823, 3620, 718, 269, 6732, 5339, 9880, 585, 795, 2033, 28191, 523, 1292, 2985, 4743, 22993, 281, 9637, 267, 30373, 267, 543, 795, 2033, 28191, 523, 2239, 563, 2304, 4367, 547, 30373, 676, 795, 2033, 28191, 523, 1451, 827, 519, 1433, 543, 519, 3140, 2796, 538, 799, 621, 729, 2854, 269, 6431, 340, 5235, 795, 2033, 28191, 523, 2565, 1557, 971, 1390, 1568, 607, 900, 2742, 267, 2631, 543, 2283, 2225, 267, 11348, 543, 14882, 267, 543, 5087, 9734, 705, 21161, 609, 782, 713, 1344, 1354, 596, 267, 621, 1058, 581, 9425, 2653, 547, 7058, 519, 2012, 540, 713, 2278, 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 ]
[ 26459, 1310, 12674, 609, 26459, 268, 6758, 528, 5523, 10074, 1765, 2889, 3913, 2670, 543, 6364, 1310, 26259, 12674, 269, 20195, 808, 623, 2664, 520, 337, 269, 476, 1001, 273, 282, 15094, 263, 273, 2567, 14378, 268, 10082, 269, 8222, 281, 1015, 269, 1911, 278, 4882, 21916, 4029, 268, 23713, 268, 7277, 272, 268, 273, 563, 1015, 10611, 320, 2581, 6261, 5674, 1258, 715, 267, 2637, 650, 1512, 6363, 7765, 715, 267, 645, 612, 529, 667, 267, 6660, 335, 1221, 645, 269, 589, 20200, 673, 26459, 15429, 4255, 538, 1453, 609, 10770, 21422, 2022, 341, 3147, 1400, 12162, 2737, 269, 623, 2664, 520, 337, 32536, 565, 269, 476, 1001, 279, 269, 8222, 281, 1015, 269, 9340, 272, 9706, 1372, 269, 16328, 10037, 563, 1556, 2529, 20235, 962, 267, 667, 25301, 590, 267, 26588, 604, 918, 267, 645, 4048, 9579, 328, 715, 267, 20242, 611, 589, 267, 2549, 1388, 670, 269, 634, 1871, 540, 16790, 14545, 15540, 1473, 340, 1027, 676, 1520, 9857, 2779, 630, 3008, 8656, 264, 910, 590, 1117, 3429, 1769, 593, 29152, 3676, 538, 10081, 9404, 29774, 269, 16790, 9404, 684, 4860, 269, 476, 1001, 279, 282, 1704, 263, 276, 2567, 24496, 268, 275, 4366, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 2246, 516, 341, 269, 1001, 278, 269, 1556, 269, 271, 4391, 563, 1321, 8160, 1245, 631, 267, 772, 3405, 667, 267, 3751, 589, 267, 1401, 2917, 595, 269, 1325, 6058, 1756, 538, 2634, 5160, 538, 10295, 269, 4750, 540, 29895, 15689, 538, 6925, 543, 10334, 269, 476, 1001, 279, 282, 5379, 281, 10602, 268, 11025, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 12459, 339, 10603, 269, 1001, 278, 269, 1556, 269, 23713, 563, 1724, 14371, 615, 31651, 681, 298, 267, 661, 21355, 670, 267, 9197, 2946, 701, 14513, 717, 267, 589, 3578, 1512, 674, 297, 267, 27974, 639, 572, 879, 808, 269, 4437, 641, 619, 14571, 543, 11020, 25927, 6327, 540, 1325, 26891, 1520, 9857, 341, 1218, 540, 17261, 1149, 269, 13571, 4536, 538, 27096, 344, 269, 476, 1001, 276, 282, 277, 281, 275, 269, 8222, 281, 1015, 269, 24783, 280, 11721, 928, 584, 269, 1001, 276, 269, 1822, 6860, 563, 1691, 11053, 558, 331, 329, 523, 990, 545, 700, 267, 26396, 595, 269, 1684, 11956, 6669, 7755, 12320, 1218, 3565, 547, 519, 8375, 9860, 540, 10295, 27085, 808, 769, 3073, 4437, 32554, 269, 476, 1001, 272, 282, 10755, 263, 1556, 2567, 16825, 280, 268, 14983, 280, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 12459, 514, 3073, 321, 1470, 269, 1001, 272, 269, 5400, 269, 25484, 269, 0, 3528, 1259, 540, 4367, 267, 519, 4139, 9257, 585, 9208, 1436, 630, 3041, 302, 264, 568, 606, 4830, 2518, 3919, 1500, 909, 540, 1585, 26639, 543, 1016, 1260, 2466, 21164, 269, 11814, 1947, 267, 789, 1020, 513, 3376, 2039, 540, 17319, 4441, 602, 4019, 547, 5176, 1169, 2872, 2443, 689, 1426, 3106, 547, 5904, 267, 543, 6683, 547, 1072, 1416, 2443, 543, 4948, 1272, 269, 20871, 602, 4019, 519, 4441, 538, 741, 1870, 2853, 616, 2111, 547, 2285, 741, 5561, 519, 22059, 602, 741, 2472, 543, 2533, 616, 2922, 267, 6325, 543, 540, 1434, 2298, 563, 763, 18869, 729, 8547, 593, 519, 2856, 540, 16460, 513, 4909, 2243, 281, 968, 6343, 779, 519, 1655, 1259, 540, 3257, 713, 9495, 272, 634, 18869, 4441, 2874, 540, 4170, 267, 16551, 543, 4808, 602, 4213, 1246, 547, 912, 6624, 540, 519, 18869, 4441, 1331, 513, 13995, 4781, 269, 901, 568, 513, 3810, 6444, 543, 15197, 19609, 602, 666, 3648, 7794, 513, 2754, 779, 2990, 538, 922, 2872, 563, 763, 18869, 13166, 3459, 538, 476, 3707, 278, 269, 634, 3919, 814, 5693, 1044, 11112, 607, 972, 616, 936, 476, 736, 267, 1822, 4441, 602, 5581, 1898, 4170, 585, 5355, 519, 2472, 267, 2533, 543, 1870, 2853, 538, 1169, 2872, 269, 4107, 4441, 616, 19882, 883, 6688, 267, 1572, 3885, 267, 1759, 593, 741, 3483, 610, 2872, 269, 634, 1739, 616, 513, 1906, 540, 519, 811, 1134, 8153, 18869, 4441, 602, 3549, 666, 2936, 547, 2744, 513, 8013, 5413, 563, 3041, 302, 476, 12010, 272, 1107, 10866, 5004, 454, 3041, 302, 476, 12010, 272, 11225, 519, 7355, 585, 2298, 2359, 1949, 267, 799, 6140, 10039, 547, 3549, 3238, 609, 14931, 2472, 610, 2533, 543, 741, 3646, 547, 1374, 543, 5478, 2298, 883, 2472, 269, 1635, 4214, 267, 513, 2298, 2359, 1062, 314, 305, 272, 316, 568, 513, 6101, 1242, 1062, 602, 6054, 3157, 267, 5773, 543, 9021, 585, 8236, 2298, 4507, 543, 6859, 269, 273, 454, 4467, 20869, 609, 519, 18869, 476, 12010, 272, 6920, 513, 2754, 912, 3041, 302, 476, 17734, 4905, 1107, 6176, 5303, 454, 24426, 828, 3430, 2931, 616, 4867, 519, 7887, 3463, 547, 1169, 2754, 538, 1169, 2872, 269, 4934, 540, 13766, 267, 3549, 991, 547, 581, 10332, 543, 14942, 609, 782, 1919, 14590, 269, 634, 18869, 476, 17734, 4905, 3044, 568, 19882, 609, 519, 4139, 5082, 4710, 1013, 673, 8189, 630, 296, 4488, 264, 543, 10039, 547, 1344, 2029, 630, 3951, 1916, 763, 18869, 270, 296, 4488, 476, 17734, 4905, 3044, 3568, 4808, 1808, 547, 1239, 7834, 543, 3354, 269, 898, 13315, 519, 6388, 267, 2359, 543, 6024, 6454, 540, 606, 3919, 779, 1344, 3354, 2359, 1062, 630, 3041, 5960, 1040, 634, 4507, 543, 5773, 540, 519, 18869, 270, 296, 4488, 476, 17734, 4905, 3044, 1246, 513, 1981, 2861, 1935, 547, 1344, 3354, 267, 1519, 782, 3656, 267, 2168, 543, 2930, 8060, 3238, 538, 519, 3919, 779, 1344, 1981, 2359, 2853, 563, 4467, 20869, 609, 18869, 270, 296, 4488, 476, 17734, 4905, 6920, 606, 3919, 814, 8045, 606, 4959, 5960, 602, 6087, 519, 2754, 547, 912, 763, 4441, 538, 519, 18869, 270, 296, 4488, 476, 17734, 4905, 1920, 616, 2966, 547, 3382, 513, 2647, 2039, 540, 2029, 2127, 267, 1519, 912, 3041, 302, 476, 9610, 4905, 1107, 7025, 5004, 454, 1607, 3044, 568, 5497, 585, 3906, 547, 1305, 909, 267, 2087, 610, 2226, 606, 2825, 2359, 1062, 547, 14883, 609, 3964, 2825, 4507, 543, 4170, 269, 634, 4170, 540, 519, 3044, 666, 581, 11368, 883, 1022, 2825, 2359, 1062, 269, 634, 6708, 540, 513, 2754, 779, 4507, 585, 7598, 18869, 476, 9610, 4905, 616, 5462, 676, 1896, 2188, 267, 1519, 519, 3919, 779, 912, 3041, 302, 4441, 616, 2966, 547, 948, 3549, 1711, 513, 4155, 4786, 547, 3035, 543, 2226, 519, 6859, 13890, 538, 519, 1808, 3044, 269, 769, 1840, 547, 4180, 5812, 6765, 540, 2922, 543, 2298, 2472, 543, 2533, 267, 519, 4441, 849, 1331, 3800, 585, 3549, 547, 11654, 6024, 6454, 269, 1323, 2500, 18869, 5650, 3322, 1739, 513, 1305, 540, 3157, 1572, 519, 4643, 1684, 6744, 2920, 630, 11520, 7563, 264, 4783, 269, 275, 454, 23945, 1684, 6744, 2920, 18888, 454, 763, 19113, 7563, 4783, 568, 606, 27952, 1935, 585, 8236, 513, 1880, 6662, 267, 971, 607, 519, 3811, 12032, 540, 606, 18869, 13995, 269, 634, 2203, 3322, 1808, 4247, 602, 991, 547, 581, 9709, 267, 7318, 543, 9916, 585, 7145, 563, 4467, 20869, 609, 18869, 4441, 3340, 2870, 3157, 267, 5773, 543, 4441, 585, 707, 1883, 1870, 7341, 607, 1134, 607, 9591, 513, 2528, 540, 6024, 6454, 269, 1635, 7598, 519, 4441, 543, 4507, 538, 707, 3919, 267, 596, 1305, 14541, 12201, 602, 707, 5234, 1590, 2743, 267, 799, 2882, 11264, 18869, 2866, 563, 2690, 3236, 267, 519, 18869, 476, 17734, 4905, 3044, 16404, 806, 7453, 4507, 585, 519, 4027, 540, 14804, 1239, 269, 31740, 786, 991, 547, 4309, 2866, 593, 2754, 14590, 4507, 267, 1519, 912, 6097, 547, 18869, 13995, 4808, 267, 5520, 616, 2838, 547, 4309, 18869, 2866, 593, 513, 2834, 4493, 267, 2356, 10116, 569, 267, 536, 1014, 333, 1302, 610, 12422, 563, 2467, 616, 1082, 5383, 547, 15980, 606, 18869, 13995, 269, 1280, 1383, 267, 513, 676, 28237, 540, 2348, 6101, 1242, 3157, 543, 5773, 568, 2799, 7607, 269, 16065, 723, 811, 9355, 609, 519, 2754, 779, 5075, 267, 2994, 543, 741, 1367, 9021, 269, 4746, 267, 1870, 4559, 616, 1447, 2693, 547, 723, 12721, 14422, 267, 4611, 538, 2362, 4398, 269, 4033, 2640, 1331, 912, 28606, 940, 606, 18869, 13995, 568, 606, 11999, 7029, 602, 3340, 4444, 2987, 543, 7589, 689, 1169, 1268, 693, 782, 2157, 538, 519, 3919, 267, 2523, 10324, 2359, 269, 10748, 6002, 2628, 1880, 3007, 547, 10442, 875, 1134, 10986, 616, 8036, 543, 875, 789, 4019, 519, 3044, 779, 4808, 2429, 519, 960, 1485, 563, 5319, 2809, 532, 713, 5816, 286, 6258, 2859, 563, 307, 523, 20050, 2659, 16628, 12846, 13201, 3143, 22830, 6168, 18869, 476, 12010, 272, 543, 2274, 534, 12606, 3767, 0, 268, 476, 272, 1548, 568, 519, 3483, 540, 1158, 3332, 888, 268, 476, 273, 1548, 616, 519, 476, 274, 2934, 540, 1158, 3332, 888, 268, 476, 274, 1548, 568, 1158, 3332, 1806, 888, 268, 476, 275, 1548, 616, 519, 2010, 540, 1158, 3332, 888, 268, 476, 276, 4208, 568, 3332, 865, 1271, 888, 268, 476, 277, 1548, 616, 519, 2640, 540, 3332, 888, 268, 476, 278, 1548, 616, 519, 476, 278, 15689, 540, 9085, 888, 268, 476, 279, 1548, 616, 519, 476, 1321, 25704, 540, 1158, 3332, 888, 268, 476, 280, 1548, 616, 519, 2934, 540, 1158, 3332, 888, 268, 476, 1015, 6904, 2197, 814, 519, 1655, 3332, 888, 268, 476, 1556, 6904, 568, 519, 1655, 3332, 538, 1158, 888, 268, 476, 1321, 1548, 1281, 1158, 3332, 4001, 721, 888, 268, 476, 1724, 1548, 616, 519, 476, 273, 2010, 540, 3332, 888, 268, 476, 1691, 1548, 568, 606, 1383, 540, 3332, 888, 268, 476, 1428, 1548, 568, 707, 1378, 4214, 540, 3332, 888, 1432, 568, 519, 3483, 540, 1158, 3332, 888, 13328, 3332, 666, 1397, 721, 875, 1344, 568, 3838, 1063, 4529, 543, 6082, 269, 898, 2488, 5813, 883, 875, 2686, 13742, 616, 9927, 607, 789, 29906, 4654, 543, 6302, 563, 1432, 616, 519, 476, 274, 2934, 540, 1158, 3332, 888, 24145, 1155, 666, 581, 5258, 883, 1614, 2101, 2010, 281, 18340, 12462, 867, 2435, 1893, 25257, 6965, 630, 320, 652, 24312, 11295, 1893, 1070, 543, 12416, 630, 32173, 1155, 5497, 585, 2773, 282, 12416, 949, 581, 7768, 538, 2901, 18340, 610, 6965, 1916, 1432, 568, 1158, 3332, 1806, 888, 763, 14724, 1259, 540, 3206, 540, 654, 299, 568, 602, 621, 568, 3332, 602, 814, 513, 3988, 1222, 543, 606, 1764, 3564, 922, 3312, 1893, 543, 2686, 1858, 269, 6201, 1331, 519, 6426, 267, 543, 519, 4249, 540, 5261, 9956, 267, 1312, 540, 799, 723, 1044, 12261, 883, 811, 982, 476, 1911, 4654, 543, 616, 1224, 610, 5340, 593, 1169, 11782, 563, 1432, 616, 519, 2010, 540, 1158, 3332, 888, 763, 2101, 2010, 540, 3332, 2066, 519, 1158, 616, 2296, 267, 5259, 267, 5824, 267, 4936, 267, 28893, 267, 4095, 267, 1977, 267, 3943, 267, 9721, 267, 8050, 267, 4457, 267, 7969, 267, 5545, 267, 25324, 1014, 267, 16130, 267, 13605, 8932, 267, 6739, 543, 8225, 3332, 30747, 338, 540, 9085, 1160, 572, 9085, 3040, 14532, 267, 19761, 267, 6138, 267, 5708, 543, 14810, 12591, 2676, 3963, 568, 3332, 865, 1271, 888, 24145, 1155, 2636, 513, 1268, 547, 1900, 1394, 538, 942, 543, 1451, 827, 1272, 593, 3047, 689, 519, 3283, 945, 15336, 1354, 721, 269, 1284, 666, 5531, 513, 1732, 1620, 540, 2528, 543, 723, 513, 3152, 7071, 540, 873, 269, 1284, 1451, 998, 519, 2081, 1686, 568, 6592, 267, 538, 519, 3029, 540, 22251, 543, 998, 4633, 3294, 563, 1432, 616, 519, 2640, 540, 3332, 888, 26668, 30258, 547, 5530, 9085, 454, 268, 9085, 10607, 2792, 1983, 269, 634, 15864, 1259, 547, 2087, 6863, 267, 1603, 267, 543, 6340, 1983, 568, 547, 1353, 3332, 563, 268, 9085, 11414, 596, 827, 3054, 563, 268, 9085, 11414, 827, 519, 2250, 563, 268, 9085, 5252, 919, 7326, 543, 513, 23381, 563, 268, 9085, 1303, 1068, 1622, 563, 1432, 616, 519, 476, 278, 15689, 540, 9085, 888, 288, 5339, 3693, 4016, 547, 3334, 540, 513, 5339, 960, 630, 30726, 267, 4259, 267, 4729, 267, 6249, 267, 7406, 267, 1163, 3789, 267, 10678, 270, 6577, 537, 324, 618, 267, 14953, 267, 5707, 1782, 267, 2239, 1448, 268, 13001, 1993, 268, 13001, 1613, 1040, 1452, 616, 2930, 2474, 585, 519, 968, 6343, 892, 540, 513, 960, 563, 1432, 616, 519, 476, 1321, 25704, 540, 1158, 3332, 888, 1432, 616, 519, 476, 1321, 25704, 540, 1158, 3332, 888, 268, 634, 29980, 540, 16500, 31521, 327, 563, 268, 25264, 267, 634, 31660, 563, 268, 634, 476, 1911, 272, 715, 2074, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5129, 513, 3381, 3014, 1141, 519, 3197, 2911, 547, 1142, 824, 286, 6884, 267, 519, 7391, 3100, 7168, 1483, 267, 1318, 286, 1809, 941, 1346, 3197, 2731, 3206, 543, 4743, 899, 513, 1268, 1131, 286, 2107, 941, 789, 1175, 6031, 23553, 6114, 1759, 593, 1978, 12153, 2496, 4322, 5686, 540, 2055, 1291, 721, 547, 10952, 3584, 827, 9637, 543, 3961, 269, 3657, 649, 811, 982, 1175, 519, 2040, 540, 938, 4555, 543, 3527, 286, 1772, 972, 1945, 2027, 827, 1373, 1480, 602, 5036, 721, 6306, 689, 6191, 286, 1306, 2029, 8441, 267, 891, 9840, 1831, 1256, 811, 1271, 780, 7661, 267, 2015, 519, 1909, 540, 1893, 3294, 269, 1879, 649, 5968, 267, 649, 1810, 1405, 1175, 5385, 1913, 910, 649, 849, 2769, 4664, 267, 15752, 267, 543, 2686, 2796, 269, 1215, 666, 513, 3684, 7654, 7001, 782, 540, 602, 8356, 766, 286, 16393, 621, 2479, 5963, 1174, 26878, 11047, 267, 9644, 267, 610, 6568, 2496, 9961, 1686, 267, 1082, 1390, 8186, 723, 11432, 1229, 2147, 2152, 269, 11096, 14279, 267, 3744, 267, 543, 5159, 7567, 723, 22617, 1194, 609, 2055, 827, 8103, 267, 5876, 267, 543, 2495, 269, 1635, 3695, 519, 10167, 540, 1893, 267, 3069, 267, 543, 5841, 4987, 267, 649, 3513, 6443, 602, 5571, 6643, 269, 1284, 949, 711, 1265, 17046, 4267, 267, 855, 649, 3513, 6157, 2972, 6998, 4241, 2055, 2059, 519, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3955, 13694, 20513, 12054, 21577, 10244, 519, 7214, 19367, 540, 519, 654, 820, 11206, 23408, 543, 6575, 12200, 547, 3895, 543, 1489, 15834, 5698, 543, 1382, 602, 4564, 519, 3056, 6316, 540, 23408, 14172, 543, 5932, 3078, 13123, 1063, 1114, 10459, 543, 4559, 1369, 519, 2160, 269, 1452, 2516, 267, 799, 2743, 5781, 936, 519, 1576, 540, 513, 19496, 610, 4081, 1032, 267, 4309, 16434, 1788, 7482, 543, 7119, 538, 519, 5993, 20513, 12054, 21577, 32600, 602, 519, 28299, 4659, 14747, 1169, 5614, 563, 23458, 267, 7869, 267, 543, 14464, 11106, 454, 3519, 1597, 518, 281, 24138, 1744, 790, 344, 630, 12626, 270, 16240, 994, 1103, 513, 4090, 1141, 1804, 1893, 3631, 543, 30462, 5841, 4987, 8604, 26405, 547, 18534, 1901, 267, 610, 5310, 1256, 547, 8373, 938, 1620, 540, 1480, 3860, 543, 2565, 3157, 267, 713, 29519, 786, 8495, 519, 28963, 540, 6138, 267, 7881, 267, 1603, 267, 1893, 267, 543, 5876, 609, 2543, 547, 28928, 3059, 4066, 602, 3343, 547, 552, 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, 7705, 281, 19850, 7585, 256, 594, 729, 3206, 827, 875, 649, 666, 1491, 1732, 1416, 540, 938, 10130, 267, 899, 1250, 2915, 7665, 543, 707, 3032, 1733, 7416, 619, 269, 1548, 798, 596, 1589, 2496, 7692, 281, 2334, 781, 513, 1390, 2856, 267, 7705, 256, 1284, 991, 547, 946, 938, 1455, 2631, 547, 2327, 789, 3251, 2635, 543, 6126, 780, 8334, 281, 25999, 256, 1924, 267, 1018, 616, 930, 2596, 2115, 585, 938, 10130, 2496, 7692, 281, 4270, 267, 789, 991, 1426, 267, 1216, 267, 12062, 267, 543, 2648, 267, 1175, 899, 721, 269, 1809, 1705, 596, 917, 602, 1082, 540, 519, 3536, 649, 3548, 666, 2965, 2800, 873, 2496, 8334, 281, 26419, 286, 6145, 1018, 2496, 7692, 281, 28688, 267, 18683, 267, 543, 19637, 616, 6757, 547, 5243, 269, 1656, 7314, 12582, 1405, 3548, 10217, 610, 19637, 2901, 269, 9578, 267, 5144, 3884, 1405, 1434, 585, 873, 1256, 1498, 649, 1419, 1294, 621, 538, 27977, 780, 8334, 281, 26272, 267, 594, 4769, 1405, 917, 602, 256, 4208, 568, 5144, 3983, 585, 873, 2496, 7692, 281, 19949, 543, 5243, 1810, 1405, 3132, 2614, 14915, 848, 267, 519, 11747, 2877, 547, 2736, 1524, 26178, 538, 5144, 269, 901, 666, 1291, 547, 9667, 2042, 780, 8334, 281, 7937, 267, 594, 1294, 269, 1924, 267, 649, 1058, 2141, 2638, 952, 1945, 568, 2922, 585, 873, 547, 3548, 1354, 4758, 621, 547, 873, 780, 7692, 281, 22549, 256, 1656, 3314, 267, 3635, 568, 1271, 585, 741, 1072, 1932, 269, 8617, 15211, 585, 5243, 543, 1404, 5503, 585, 7314, 948, 1832, 873, 3514, 543, 2061, 30627, 780, 8334, 281, 4347, 17802, 256, 1879, 7665, 3085, 1405, 1205, 1010, 3232, 3802, 267, 646, 4991, 2731, 1964, 1652, 543, 6238, 21400, 593, 8631, 780, 7692, 281, 630, 331, 2795, 338, 264, 23010, 267, 1733, 7416, 619, 1281, 519, 1482, 3364, 950, 1352, 3085, 1405, 723, 2614, 1404, 5503, 269, 6271, 1898, 851, 540, 2921, 1416, 540, 938, 10130, 568, 3246, 1697, 2564, 1416, 780, 8334, 281, 1411, 1611, 2469, 547, 519, 17022, 2496, 7692, 281, 8786, 267, 1654, 1206, 616, 3662, 7189, 945, 666, 2285, 873, 15833, 547, 2149, 1996, 3676, 267, 2638, 741, 2949, 1072, 267, 543, 948, 950, 789, 2811, 7210, 610, 13676, 780, 8334, 281, 594, 1294, 269, 1924, 267, 621, 781, 899, 950, 649, 979, 547, 519, 4387, 585, 938, 2834, 2638, 5725, 780, 7692, 281, 2334, 781, 1318, 256, 3807, 899, 721, 267, 2831, 666, 1205, 7210, 689, 8290, 543, 4551, 269, 2368, 10108, 267, 899, 29811, 267, 666, 1256, 3262, 547, 3425, 780, 8334, 281, 962, 10105, 256, 594, 1185, 1100, 2856, 269, 14171, 1416, 540, 938, 10130, 4667, 1454, 811, 3238, 982, 594, 2219, 780, 7692, 281, 898, 9090, 3340, 5539, 543, 1455, 2631, 269, 1809, 7487, 873, 6126, 543, 2635, 2306, 621, 782, 26656, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 723, 1044, 2542, 519, 21075, 11540, 593, 713, 3135, 267, 596, 786, 1100, 8969, 723, 8068, 602, 972, 568, 513, 8142, 267, 513, 1455, 14009, 267, 602, 896, 15533, 519, 2470, 540, 782, 2068, 543, 782, 7067, 269, 2334, 1455, 14009, 8761, 519, 1455, 2707, 540, 782, 2068, 543, 519, 3070, 547, 782, 7067, 269, 898, 568, 5393, 2241, 543, 3790, 4986, 563, 5353, 655, 1932, 1434, 547, 581, 3020, 888, 2252, 865, 267, 972, 568, 835, 2241, 2601, 1946, 596, 1131, 1589, 865, 269, 1411, 723, 1044, 967, 24934, 337, 3990, 883, 513, 1360, 11029, 855, 17254, 4842, 9114, 689, 519, 4090, 540, 707, 4332, 269, 634, 15073, 1513, 267, 538, 713, 2013, 267, 616, 519, 1625, 3272, 832, 540, 519, 19336, 267, 519, 5691, 4641, 538, 799, 596, 2291, 269, 1703, 568, 1776, 2022, 593, 713, 3135, 602, 3091, 513, 2347, 6609, 540, 519, 19336, 269, 1358, 723, 2601, 547, 1118, 707, 1272, 513, 2698, 9114, 543, 1085, 600, 269, 898, 6087, 873, 547, 9585, 782, 540, 741, 3853, 609, 2698, 8897, 267, 1210, 707, 2978, 832, 267, 2943, 796, 2041, 4385, 560, 547, 596, 563, 2691, 596, 723, 11751, 538, 547, 519, 16995, 2564, 1062, 267, 596, 616, 8348, 547, 3398, 2068, 607, 5214, 543, 17149, 267, 596, 616, 8348, 547, 24049, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2793, 307, 13543, 1315, 10960, 7126, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 280, 281, 19484, 519, 9523, 21466, 808, 3779, 281, 1323, 769, 5937, 3704, 6733, 883, 12039, 8750, 338, 543, 16510, 570, 24612, 8750, 338, 630, 4953, 22661, 2020, 1103, 938, 3105, 11271, 267, 649, 723, 5189, 1585, 5092, 7405, 543, 2035, 602, 616, 1898, 538, 26762, 519, 14960, 540, 519, 2671, 2344, 269, 1717, 267, 1256, 950, 11439, 609, 971, 1702, 267, 1082, 9520, 1869, 1265, 2933, 16397, 676, 519, 22406, 2179, 540, 2930, 2165, 514, 3098, 1031, 538, 2883, 6990, 269, 901, 3184, 6663, 547, 14458, 1079, 2442, 2010, 540, 7482, 910, 4994, 7482, 543, 5385, 21775, 7482, 630, 4953, 22661, 1070, 799, 1419, 4734, 30497, 9520, 31153, 741, 9843, 269, 1635, 1620, 891, 2474, 267, 596, 786, 581, 1732, 9280, 547, 6330, 519, 1950, 1158, 540, 9541, 780, 296, 269, 1548, 3657, 12039, 8750, 338, 2496, 2304, 4994, 2508, 568, 513, 1826, 540, 8994, 2508, 602, 11394, 547, 21613, 519, 2773, 540, 513, 1808, 2344, 25162, 610, 4994, 267, 1634, 607, 606, 5817, 4994, 269, 1280, 3236, 267, 952, 606, 20090, 6499, 4598, 547, 5245, 781, 1283, 476, 1220, 3549, 267, 789, 1522, 3442, 606, 4994, 2508, 9477, 519, 590, 261, 303, 270, 3008, 311, 476, 1220, 12039, 269, 1452, 7482, 2709, 3376, 29159, 2066, 1114, 9922, 543, 6080, 1247, 10893, 4220, 2404, 609, 8362, 7307, 2823, 31987, 780, 2862, 269, 1215, 6496, 606, 12039, 8750, 4518, 2496, 19340, 7482, 7500, 896, 12809, 2359, 2994, 1141, 14769, 9946, 2832, 547, 6474, 519, 5888, 543, 2132, 540, 741, 9757, 17523, 2864, 982, 12394, 547, 856, 704, 845, 873, 269, 9182, 267, 4994, 7482, 3622, 4163, 2539, 12375, 3379, 547, 8362, 7307, 13413, 2094, 1447, 1382, 543, 5464, 616, 2838, 269, 3958, 267, 1970, 24826, 3928, 1267, 538, 4389, 11834, 3790, 780, 7656, 269, 22436, 540, 30799, 538, 12039, 8750, 338, 692, 272, 269, 667, 1392, 2305, 281, 1306, 5018, 4505, 267, 4994, 7482, 1683, 1569, 547, 2789, 7221, 1369, 513, 2582, 2508, 267, 4227, 2754, 10391, 1981, 563, 273, 269, 13722, 26959, 281, 10426, 633, 2359, 5012, 547, 8519, 13258, 12753, 1813, 547, 8766, 3742, 9525, 2877, 563, 274, 269, 7043, 31645, 853, 1464, 281, 25214, 267, 1034, 3742, 2508, 9946, 3111, 547, 9846, 10726, 741, 9757, 14541, 12201, 282, 4061, 267, 7446, 606, 4994, 2508, 666, 5838, 7123, 1279, 3856, 7024, 563, 275, 269, 3690, 10337, 281, 4595, 4994, 7482, 11604, 3964, 17523, 267, 9520, 917, 10502, 1018, 3180, 902, 17663, 741, 6074, 2508, 780, 4353, 269, 32539, 540, 30799, 538, 12039, 8750, 338, 692, 272, 269, 17290, 772, 1186, 728, 15783, 281, 5221, 4994, 7482, 1246, 24441, 782, 23148, 1759, 593, 741, 7222, 17523, 267, 789, 3112, 31194, 593, 1367, 13632, 7900, 24215, 1134, 563, 273, 269, 19768, 540, 21253, 2225, 281, 9521, 8362, 7307, 7482, 267, 4994, 7482, 798, 711, 1450, 11941, 2687, 547, 4657, 2344, 2175, 610, 20090, 7375, 563, 274, 269, 31524, 18438, 281, 12769, 31531, 267, 4994, 7482, 949, 1821, 5573, 5594, 689, 741, 5497, 14541, 12201, 1813, 547, 2188, 971, 607, 6666, 8749, 267, 2242, 538, 4994, 3334, 267, 610, 10512, 13546, 1553, 13853, 780, 309, 269, 4985, 547, 16510, 570, 24612, 8750, 338, 630, 4953, 22661, 2020, 2750, 4219, 570, 24612, 8750, 338, 630, 4953, 22661, 264, 1599, 13974, 547, 2757, 4994, 7482, 282, 2705, 267, 789, 4123, 12499, 1485, 899, 1455, 13632, 593, 6006, 15377, 269, 4935, 267, 21180, 293, 5777, 11385, 622, 2429, 519, 1554, 4470, 593, 3761, 543, 3747, 6384, 269, 4107, 21180, 22661, 849, 2308, 12809, 2359, 2553, 6322, 693, 8272, 337, 1681, 1808, 17523, 780, 9654, 269, 6206, 17972, 540, 21180, 22661, 692, 272, 269, 2271, 571, 1485, 29665, 281, 9521, 6671, 4994, 7482, 602, 7017, 693, 519, 14656, 2121, 10697, 1871, 630, 2793, 309, 1070, 21180, 22661, 5512, 9520, 547, 4444, 543, 6133, 8843, 693, 8795, 3902, 2798, 1282, 9467, 3108, 563, 273, 269, 667, 5744, 20644, 902, 281, 18766, 689, 9698, 2861, 2472, 267, 6378, 4747, 267, 20161, 267, 543, 9304, 21180, 22661, 616, 2139, 267, 23695, 547, 3309, 5092, 6859, 563, 274, 269, 8899, 5890, 1619, 13158, 3930, 281, 9603, 547, 741, 12809, 2470, 267, 21180, 22661, 3335, 30107, 2539, 1942, 3889, 3379, 547, 8362, 7307, 7482, 563, 275, 269, 7457, 1043, 670, 539, 3101, 13088, 281, 22676, 3042, 543, 11201, 21180, 22661, 4196, 607, 2500, 15949, 3101, 6127, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10543, 610, 10543, 942, 454, 26765, 1000, 26677, 543, 737, 10107, 1472, 10543, 942, 454, 763, 18473, 17915, 949, 2049, 593, 519, 1079, 5011, 540, 519, 1560, 269, 634, 19183, 949, 2899, 538, 513, 1247, 642, 4314, 543, 949, 4268, 538, 3978, 1145, 269, 634, 17915, 9648, 1369, 519, 16289, 1137, 616, 912, 763, 17915, 1522, 581, 2182, 547, 2491, 543, 2550, 3921, 27274, 1810, 1405, 4766, 519, 2783, 607, 513, 4887, 838, 11047, 610, 4666, 1145, 269, 15706, 7092, 689, 681, 11862, 4749, 5469, 519, 1279, 532, 547, 1847, 741, 7953, 563, 27916, 1652, 6181, 338, 15540, 23369, 454, 7312, 10629, 786, 5619, 707, 4791, 1686, 543, 2427, 2360, 269, 2659, 4466, 5673, 593, 707, 23053, 543, 519, 1739, 3334, 912, 268, 589, 7287, 547, 1847, 707, 7953, 267, 7258, 18473, 17915, 454, 268, 2659, 2427, 2360, 2253, 610, 7771, 1472, 10543, 942, 610, 1247, 16889, 454, 268, 589, 20882, 602, 13515, 13713, 610, 10169, 676, 5751, 267, 585, 1383, 267, 6972, 543, 15198, 454, 306, 728, 2360, 616, 711, 14311, 3361, 676, 824, 4791, 610, 8965, 2783, 454, 7312, 7193, 303, 949, 1404, 856, 513, 2168, 543, 14715, 1449, 547, 3313, 824, 1761, 4128, 585, 707, 19183, 610, 513, 1973, 1449, 547, 2638, 585, 4401, 10638, 563, 27916, 1652, 6181, 338, 15540, 9615, 454, 307, 11661, 606, 5817, 17966, 618, 267, 585, 1383, 267, 17350, 610, 4401, 10638, 666, 948, 4383, 707, 2427, 2360, 269, 2659, 7193, 303, 949, 11338, 21559, 1978, 5061, 602, 6175, 707, 23053, 267, 4217, 596, 609, 12008, 1732, 267, 543, 2333, 22006, 538, 707, 2634, 563, 8855, 267, 3665, 681, 11862, 666, 8423, 704, 1272, 2298, 543, 666, 2014, 18354, 543, 20026, 269, 2201, 519, 1055, 4960, 602, 596, 616, 3168, 585, 519, 1655, 15466, 16758, 538, 8592, 15880, 543, 519, 3345, 24611, 8513, 547, 1521, 707, 14221, 7953, 2783, 267, 3914, 721, 2221, 610, 4626, 564, 762, 606, 13393, 609, 721, 693, 3345, 24611, 966, 6018, 543, 26890, 514, 4741, 269, 0, 23219, 267, 10963, 543, 1024, 665, 1938, 723, 8329, 547, 519, 1646, 540, 2790, 10108, 543, 454, 17595, 22181, 4145, 693, 24034, 2157, 269, 2552, 9009, 547, 2442, 3661, 267, 519, 22993, 1995, 454, 1993, 8194, 568, 711, 11658, 547, 519, 31848, 4805, 269, 634, 13438, 540, 8194, 666, 581, 5433, 2066, 454, 26967, 2818, 267, 5481, 267, 2950, 543, 2520, 13132, 630, 290, 617, 3429, 2023, 1299, 12130, 1408, 328, 13305, 719, 7562, 553, 267, 476, 1001, 278, 1040, 769, 1249, 267, 621, 729, 519, 5626, 1764, 540, 519, 1158, 10617, 602, 28520, 1769, 593, 606, 454, 785, 1339, 779, 17867, 3210, 547, 2566, 269, 20212, 4767, 538, 519, 6881, 540, 454, 17595, 1670, 2589, 1851, 519, 7980, 3964, 513, 2178, 7681, 1063, 2112, 454, 20813, 26555, 543, 2790, 1072, 630, 300, 584, 20321, 1299, 700, 27232, 2381, 541, 27011, 267, 476, 1220, 277, 1916, 25187, 11268, 267, 29071, 543, 21308, 666, 581, 9763, 607, 2645, 585, 632, 268, 525, 5632, 908, 16839, 2676, 6518, 13604, 11151, 29083, 2790, 1072, 2175, 267, 2523, 538, 519, 7925, 454, 28134, 269, 2290, 971, 9976, 29417, 568, 519, 7507, 6465, 1393, 602, 729, 7550, 593, 519, 476, 1704, 628, 540, 454, 20809, 267, 476, 2735, 279, 267, 9591, 519, 4139, 22518, 7040, 269, 901, 1554, 568, 1631, 4767, 607, 519, 454, 17220, 10456, 4303, 543, 16033, 919, 711, 1152, 519, 8978, 10073, 540, 519, 7507, 454, 21809, 1393, 855, 849, 19752, 519, 10083, 540, 8165, 1996, 791, 29774, 543, 8744, 5126, 547, 454, 31162, 341, 643, 832, 540, 2112, 10963, 269, 29663, 2818, 782, 936, 519, 8608, 9784, 713, 1554, 676, 6029, 454, 338, 13521, 10846, 609, 9601, 543, 15000, 540, 18205, 10963, 10876, 563, 1432, 568, 4277, 827, 519, 7507, 6465, 1393, 568, 602, 621, 2882, 7526, 711, 1152, 1063, 454, 810, 3164, 793, 338, 543, 12499, 15581, 267, 855, 849, 10963, 1996, 21127, 269, 634, 29417, 814, 3964, 2185, 454, 14537, 3486, 10963, 547, 2149, 519, 1004, 689, 21393, 267, 2112, 10963, 267, 10963, 1996, 454, 16058, 640, 543, 519, 6760, 540, 14699, 269, 2991, 2622, 2782, 476, 272, 267, 606, 2333, 538, 646, 29532, 10963, 729, 454, 10849, 5703, 267, 799, 2417, 2799, 1310, 2622, 2782, 476, 273, 269, 32202, 675, 267, 4638, 5208, 267, 7142, 454, 2181, 3913, 3599, 267, 15294, 619, 543, 824, 11375, 636, 2033, 6411, 3614, 1005, 2790, 610, 2168, 1072, 941, 1287, 454, 322, 1538, 528, 2213, 883, 10963, 1996, 8103, 563, 2690, 922, 942, 267, 519, 7507, 6465, 1393, 666, 581, 2938, 607, 513, 12316, 1646, 585, 454, 13440, 1758, 2358, 519, 2956, 540, 2790, 1072, 543, 519, 1764, 1114, 5686, 540, 6760, 666, 723, 454, 517, 606, 1367, 543, 18867, 741, 7180, 269, 634, 476, 1704, 628, 540, 5147, 568, 513, 32444, 12576, 585, 782, 454, 12248, 1845, 1472, 519, 1158, 547, 581, 8149, 547, 519, 4027, 540, 922, 4961, 689, 1022, 2022, 8894, 20813, 12787, 602, 949, 1764, 741, 5626, 543, 2168, 1134, 5630, 563, 2252, 596, 616, 4867, 10010, 609, 2790, 1072, 4145, 16109, 689, 8194, 610, 16236, 2676, 9767, 666, 849, 3914, 856, 547, 519, 962, 310, 303, 282, 9263, 1489, 2319, 693, 454, 2026, 335, 269, 27364, 2275, 7032, 269, 842, 269, 476, 1708, 272, 269, 476, 1704, 5147, 1107, 4303, 540, 4139, 22518, 10456, 269, 1496, 26020, 316, 12232, 693, 912, 1556, 5147, 476, 1708, 272, 14073, 10870, 531, 819, 3228, 515, 27364, 3820, 269, 476, 1708, 272, 269, 4139, 10456, 4303, 1107, 476, 1704, 5147, 1923, 29663, 585, 519, 4139, 454, 290, 17964, 7040, 269, 1496, 26020, 316, 12232, 693, 281, 2999, 10059, 2517, 19254, 819, 3228, 515, 27364, 3820, 30032, 1181, 1049, 268, 3286, 823, 8894, 1485, 268, 1704, 268, 9857, 569, 285, 1496, 16966, 539, 476, 1556, 5147, 476, 1708, 272, 14073, 290, 617, 3429, 2023, 267, 918, 1421, 1299, 12130, 1408, 328, 13305, 719, 7562, 553, 267, 808, 269, 630, 1001, 278, 1040, 2201, 8194, 267, 11585, 267, 543, 10688, 281, 27870, 454, 613, 13132, 540, 8194, 269, 32313, 267, 6611, 1656, 5980, 267, 476, 2190, 267, 476, 7367, 268, 6321, 269, 8222, 912, 300, 584, 20321, 267, 681, 269, 590, 1421, 1299, 700, 27232, 2381, 541, 27011, 267, 681, 269, 630, 1220, 277, 1040, 10076, 1072, 4539, 540, 2112, 281, 513, 5618, 2689, 454, 1993, 1382, 4681, 269, 2622, 2618, 17226, 2433, 4013, 4760, 540, 519, 2622, 5369, 12278, 5948, 454, 263, 310, 5183, 1070, 476, 276, 263, 272, 1070, 476, 1839, 1700, 1789, 563, 263, 1708, 272, 1040, 8158, 476, 1556, 5147, 476, 1708, 272, 267, 689, 5291, 2517, 4178, 269, 27364, 2275, 7032, 269, 842, 14672, 337, 270, 6113, 21671, 637, 270, 20660, 280, 2801, 742, 278, 268, 276, 4037, 273, 268, 275, 325, 10019, 268, 0, 2005, 568, 6059, 602, 476, 2190, 260, 540, 2367, 543, 476, 280, 260, 540, 1977, 19103, 2523, 30126, 3207, 19103, 799, 568, 18718, 6807, 14844, 1755, 12949, 835, 540, 519, 1016, 6943, 540, 19103, 269, 17148, 2404, 609, 12619, 7442, 12795, 1703, 616, 2564, 2551, 609, 30126, 3207, 19103, 3622, 723, 2362, 9019, 2557, 3379, 547, 12115, 1399, 2551, 607, 3254, 538, 513, 6668, 1989, 335, 1695, 593, 519, 1318, 269, 4400, 1973, 2604, 898, 568, 1634, 602, 3461, 609, 30126, 29295, 519, 3207, 19103, 2550, 1215, 1455, 568, 713, 12619, 7442, 12795, 9046, 286, 4658, 945, 7985, 689, 2901, 2186, 540, 3207, 19103, 1810, 1405, 1450, 596, 547, 1689, 12008, 7158, 282, 676, 4657, 12008, 7158, 543, 12008, 593, 707, 2427, 267, 30126, 3207, 19103, 949, 581, 513, 3364, 540, 519, 2250, 563, 11947, 1973, 2604, 898, 568, 1634, 602, 3461, 609, 30126, 676, 9849, 513, 3926, 602, 1552, 3585, 2119, 547, 1930, 519, 3461, 21572, 1282, 3207, 269, 3973, 267, 7189, 786, 19665, 519, 2550, 2687, 547, 875, 1082, 3284, 928, 545, 4894, 26715, 2694, 602, 29572, 519, 3461, 21572, 1210, 10551, 5650, 269, 1703, 616, 513, 1297, 540, 2409, 547, 1521, 30126, 3207, 19103, 949, 1291, 547, 1082, 5312, 3676, 8374, 971, 607, 3987, 543, 2295, 3676, 269, 4400, 1973, 2604, 898, 568, 1634, 602, 3461, 609, 30126, 2010, 540, 3207, 19103, 4208, 26861, 10614, 12619, 7442, 12795, 19732, 2989, 888, 6624, 1004, 1572, 3207, 19103, 513, 834, 338, 559, 550, 2068, 257, 1317, 827, 2879, 1681, 538, 30126, 3207, 19103, 26861, 10614, 3207, 19103, 2550, 1419, 1745, 3170, 580, 4240, 269, 476, 280, 3284, 928, 545, 2621, 829, 5662, 786, 581, 9286, 607, 2348, 9793, 744, 6347, 14904, 609, 811, 982, 476, 1789, 3284, 928, 545, 2621, 1205, 2614, 4351, 3750, 3350, 3207, 267, 1634, 607, 31087, 3207, 269, 15350, 17371, 20974, 19843, 610, 20974, 816, 547, 13827, 666, 948, 1118, 621, 811, 6899, 547, 621, 814, 513, 1360, 5906, 12343, 855, 1419, 3768, 328, 30938, 269, 3509, 1004, 1572, 3207, 19103, 513, 834, 338, 559, 550, 2068, 257, 1317, 744, 6347, 607, 2022, 5443, 18108, 2021, 723, 476, 274, 2053, 519, 1981, 540, 30126, 3207, 19103, 3379, 547, 2367, 563, 2791, 786, 849, 899, 547, 1224, 0, 763, 4266, 568, 5147, 476, 278, 267, 476, 1001, 280, 269, 18738, 519, 20523, 19090, 13482, 4741, 267, 513, 1762, 535, 27247, 676, 519, 2012, 22707, 534, 10557, 22316, 585, 1010, 29658, 1107, 15272, 476, 1321, 630, 312, 1321, 264, 1107, 799, 5161, 540, 2789, 536, 8083, 269, 1323, 3045, 1735, 1356, 7125, 585, 519, 1101, 5180, 267, 799, 5161, 540, 20115, 267, 1141, 519, 19002, 1590, 3068, 513, 3099, 540, 1367, 17837, 563, 288, 573, 534, 15211, 936, 547, 1141, 1010, 7535, 14816, 568, 4092, 269, 2755, 554, 8504, 909, 547, 519, 14816, 267, 513, 4999, 540, 8401, 1145, 543, 10761, 1376, 547, 1305, 538, 269, 14171, 513, 2620, 7362, 267, 646, 5956, 519, 2790, 7041, 540, 2348, 519, 1318, 14820, 1354, 646, 6238, 547, 20545, 269, 11109, 519, 1318, 14820, 568, 1271, 538, 1169, 835, 540, 1010, 536, 8083, 267, 2436, 621, 779, 609, 606, 2653, 18545, 610, 513, 2352, 835, 563, 2026, 646, 22281, 338, 1010, 3105, 2833, 609, 891, 19194, 267, 1018, 646, 4121, 689, 873, 568, 602, 711, 1152, 798, 596, 723, 18454, 267, 855, 609, 1169, 1967, 267, 972, 616, 14286, 1932, 269, 3414, 891, 14286, 267, 972, 568, 2141, 1945, 547, 1451, 602, 666, 829, 1555, 547, 1022, 1272, 1995, 602, 596, 949, 3068, 563, 300, 582, 10474, 585, 4259, 3853, 269, 674, 9760, 568, 513, 7328, 1141, 1034, 9845, 1590, 581, 15508, 2178, 269, 898, 568, 1634, 585, 922, 3432, 267, 1367, 3756, 267, 543, 519, 991, 585, 3666, 267, 22231, 267, 535, 1389, 267, 543, 2790, 1035, 8462, 269, 634, 11826, 2790, 7569, 689, 713, 7328, 3340, 602, 519, 19002, 814, 2347, 1852, 936, 741, 2247, 267, 1560, 543, 4664, 1790, 18857, 543, 2790, 32297, 563, 20751, 1142, 536, 719, 267, 952, 519, 19002, 1281, 711, 3494, 538, 1864, 17017, 1345, 267, 982, 621, 568, 3592, 7543, 547, 8011, 269, 634, 2790, 3014, 540, 535, 9760, 18327, 602, 519, 19002, 1590, 1711, 519, 3255, 585, 873, 547, 8011, 267, 676, 5329, 606, 1930, 2247, 269, 1452, 2833, 4001, 519, 19002, 547, 1628, 741, 1582, 6015, 267, 799, 538, 2490, 13976, 585, 811, 8404, 585, 9845, 547, 3914, 3853, 602, 789, 3180, 538, 1272, 563, 8802, 6819, 707, 6418, 4664, 269, 634, 1883, 547, 10888, 1022, 535, 9760, 29658, 610, 1022, 5026, 3014, 538, 2489, 568, 547, 1832, 707, 6418, 4664, 538, 2638, 267, 543, 5329, 5059, 269, 769, 535, 9760, 267, 9845, 4043, 547, 1118, 554, 7360, 3664, 1759, 593, 741, 1699, 7553, 543, 936, 14725, 7744, 269, 674, 523, 6203, 1451, 547, 3082, 547, 1022, 3510, 789, 616, 538, 609, 1272, 267, 789, 917, 875, 547, 1118, 519, 1318, 3375, 1510, 15603, 741, 4664, 936, 6531, 741, 3206, 563, 20797, 2306, 3501, 269, 769, 535, 9760, 267, 610, 538, 1022, 7328, 267, 9845, 1451, 547, 1831, 519, 1655, 998, 11428, 543, 2259, 269, 1879, 596, 3068, 606, 18545, 543, 596, 1832, 9561, 267, 621, 568, 4105, 602, 596, 3136, 547, 2259, 2394, 596, 4137, 856, 513, 1259, 547, 10726, 602, 18545, 269, 3414, 1082, 8062, 543, 6959, 267, 9845, 1376, 547, 1020, 519, 2856, 602, 2259, 2306, 3501, 269, 901, 2636, 873, 547, 4019, 713, 5578, 547, 4081, 5301, 267, 971, 607, 4974, 538, 1931, 547, 1205, 519, 3446, 602, 789, 1616, 538, 1153, 563, 763, 1376, 540, 7580, 3206, 543, 4081, 1445, 269, 769, 535, 9760, 267, 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 ]
[ 1412, 338, 7685, 274, 9166, 314, 274, 267, 273, 267, 274, 267, 272, 267, 274, 2639, 8679, 4206, 284, 335, 323, 6185, 1092, 20988, 16597, 994, 2745, 29254, 994, 343, 815, 5286, 30784, 1052, 263, 276, 994, 10823, 269, 9471, 8443, 271, 267, 276, 267, 271, 267, 278, 7481, 10823, 19502, 3287, 267, 4206, 994, 10823, 269, 5586, 754, 16597, 267, 32643, 284, 273, 264, 1948, 32643, 284, 273, 476, 9463, 367, 31968, 25335, 496, 10828, 476, 9463, 480, 12255, 272, 1239, 476, 9463, 480, 12255, 273, 17276, 498, 378, 419, 377, 362, 7511, 12916, 491, 419, 377, 362, 454, 258, 10823, 269, 5586, 754, 8443, 262, 14140, 3126, 28710, 32643, 815, 476, 279, 994, 10823, 20481, 4590, 18411, 258, 7290, 9999, 454, 18411, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 16647, 815, 5286, 20179, 27110, 263, 271, 267, 1911, 267, 1911, 994, 2745, 9638, 641, 994, 333, 14720, 1231, 267, 6312, 2583, 815, 12301, 269, 7290, 9638, 641, 994, 10823, 20481, 4590, 2745, 9638, 641, 314, 16647, 285, 4817, 7481, 18411, 258, 8663, 5750, 454, 18411, 8161, 284, 5286, 30784, 1052, 263, 276, 264, 258, 30244, 19404, 490, 314, 271, 267, 272, 267, 273, 267, 274, 267, 275, 316, 16533, 365, 21251, 27310, 267, 25585, 888, 11161, 272, 815, 1496, 276, 267, 278, 267, 274, 267, 275, 267, 277, 2639, 10823, 269, 8663, 263, 8161, 267, 11161, 272, 994, 10823, 269, 868, 6506, 263, 8161, 266, 271, 269, 275, 267, 9131, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 262, 7481, 10823, 20481, 4590, 258, 6343, 568, 519, 3017, 1063, 519, 1079, 888, 18411, 18411, 8161, 284, 5286, 30784, 1052, 263, 276, 994, 11161, 272, 815, 1496, 276, 267, 278, 267, 274, 267, 275, 267, 277, 2639, 560, 323, 272, 815, 1496, 271, 269, 279, 267, 272, 267, 271, 269, 275, 267, 271, 269, 280, 267, 272, 269, 274, 2639, 10823, 26644, 3488, 3240, 3046, 5750, 5073, 10823, 269, 8663, 327, 263, 8161, 267, 11161, 272, 21726, 20482, 284, 560, 323, 272, 267, 19587, 17624, 342, 28121, 262, 1815, 565, 528, 9166, 262, 271, 269, 272, 262, 2437, 322, 2355, 1125, 9899, 277, 9574, 10401, 284, 271, 269, 278, 267, 16932, 8782, 14140, 5073, 10823, 269, 12682, 6506, 263, 8161, 266, 271, 269, 275, 267, 9131, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 262, 7481, 10823, 269, 5586, 754, 10857, 665, 284, 273, 994, 10823, 20481, 10797, 8161, 815, 5286, 30784, 1052, 263, 276, 994, 11161, 272, 815, 1496, 276, 267, 278, 267, 274, 267, 275, 267, 277, 2639, 11161, 273, 815, 1496, 277, 267, 277, 267, 275, 267, 276, 267, 278, 2639, 11161, 274, 815, 1496, 276, 267, 277, 267, 276, 267, 275, 267, 277, 2639, 321, 342, 284, 476, 271, 269, 274, 454, 10823, 269, 9471, 8443, 271, 267, 279, 267, 271, 267, 276, 7481, 10823, 26644, 3488, 20123, 529, 7685, 3046, 5750, 3299, 325, 20184, 1125, 284, 736, 994, 10823, 269, 8663, 327, 263, 8161, 267, 11161, 272, 14720, 342, 267, 10233, 8782, 321, 5073, 10823, 269, 8663, 327, 263, 8161, 17070, 342, 267, 11161, 273, 14720, 342, 267, 10233, 8782, 326, 5073, 10823, 269, 8663, 327, 263, 8161, 266, 273, 265, 321, 342, 267, 11161, 274, 14720, 342, 267, 10233, 8782, 337, 5073, 10823, 269, 12682, 6506, 263, 8161, 266, 272, 269, 276, 265, 321, 342, 267, 9131, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 262, 7481, 10823, 20481, 4590, 18411, 258, 2457, 476, 2190, 454, 18411, 11907, 815, 27835, 338, 7685, 272, 9166, 314, 272, 267, 274, 267, 275, 267, 274, 267, 276, 16689, 1038, 1412, 338, 7685, 273, 9166, 314, 273, 267, 275, 267, 276, 267, 273, 267, 275, 16689, 1038, 1412, 338, 7685, 274, 9166, 314, 274, 267, 273, 267, 274, 267, 272, 267, 274, 2639, 8679, 4206, 284, 19073, 6185, 1092, 20988, 16597, 994, 4206, 19502, 263, 11779, 815, 1412, 8663, 327, 3299, 560, 17977, 284, 6936, 994, 10823, 20481, 4590, 18411, 18411, 258, 2457, 476, 2918, 824, 3046, 5750, 454, 343, 271, 815, 5286, 30784, 1052, 263, 279, 994, 344, 272, 815, 5286, 15126, 8443, 272, 267, 274, 267, 275, 267, 277, 267, 275, 267, 274, 267, 273, 267, 272, 7481, 344, 273, 815, 5286, 15126, 8443, 272, 267, 273, 267, 276, 267, 275, 267, 274, 267, 274, 267, 273, 267, 272, 7481, 10823, 269, 2643, 574, 8987, 278, 267, 278, 994, 10823, 269, 8663, 3287, 271, 11971, 272, 267, 271, 269, 280, 267, 2183, 10233, 8782, 337, 5073, 10823, 269, 8663, 3287, 271, 11971, 273, 267, 271, 269, 280, 267, 2183, 10233, 8782, 321, 5073, 10823, 269, 868, 6506, 263, 15405, 10823, 26942, 263, 12148, 994, 1721, 1535, 11971, 538, 23407, 3287, 271, 11971, 272, 2187, 825, 12301, 269, 3667, 3287, 266, 271, 269, 275, 11971, 266, 271, 269, 4962, 10086, 260, 323, 262, 260, 344, 267, 3873, 8782, 22487, 3299, 9366, 8782, 321, 18847, 5073, 1721, 1535, 11971, 538, 23407, 3287, 271, 11971, 273, 2187, 825, 12301, 269, 3667, 3287, 266, 271, 269, 275, 16427, 344, 268, 271, 269, 4962, 10086, 260, 323, 262, 260, 344, 267, 3873, 8782, 22487, 3299, 9366, 8782, 9008, 5073, 10823, 20481, 4590, 2745, 3287, 271, 264, 258, 31138, 4422, 4636, 11631, 888, 18411, 18411, 18350, 1564, 815, 18358, 333, 758, 807, 12887, 338, 4461, 2426, 12887, 327, 7699, 933, 328, 12887, 20625, 12887, 332, 19318, 7637, 23300, 11161, 815, 1496, 1015, 267, 736, 267, 4097, 267, 6321, 267, 3393, 2639, 3712, 832, 815, 18358, 344, 3641, 12887, 1042, 12887, 326, 2001, 12887, 528, 1052, 12887, 13582, 23300, 30161, 1712, 815, 1496, 271, 267, 271, 269, 276, 267, 271, 267, 271, 267, 271, 2639, 10823, 26644, 3488, 9225, 5750, 5073, 10823, 4877, 773, 263, 11161, 267, 18350, 1564, 284, 18350, 1564, 267, 3712, 832, 284, 3712, 832, 267, 30161, 1712, 284, 30161, 1712, 267, 3333, 20760, 18989, 2676, 1038, 1313, 641, 551, 815, 1412, 260, 272, 269, 272, 325, 260, 260, 3299, 11034, 4120, 815, 476, 5197, 994, 10823, 269, 9471, 3488, 16029, 5073, 10823, 20481, 10797, 18411, 18411, 11907, 815, 27835, 338, 7685, 272, 9166, 314, 272, 267, 274, 267, 275, 267, 274, 267, 276, 16689, 1038, 1412, 338, 7685, 273, 9166, 314, 273, 267, 275, 267, 276, 267, 273, 267, 275, 16689, 1038, 1412, 338, 7685, 274, 9166, 314, 274, 267, 273, 267, 274, 267, 272, 267, 274, 2639, 8679, 4206, 284, 335, 323, 6185, 1092, 20988, 16597, 994, 4206, 9131, 338, 7685, 272, 262, 4940, 7120, 263, 11779, 8782, 9225, 3299, 325, 12127, 1125, 14352, 275, 267, 273, 4917, 10823, 20481, 10797, 18411, 18411, 301, 815, 476, 1911, 454, 343, 815, 5286, 20179, 20120, 18217, 994, 344, 815, 5286, 20179, 20120, 18217, 994, 3712, 832, 815, 5286, 20179, 20120, 18217, 994, 19327, 815, 263, 1789, 265, 12639, 20179, 20120, 18217, 264, 1262, 273, 994, 10823, 31892, 2660, 3287, 11971, 29679, 284, 19327, 22698, 284, 3712, 832, 267, 10401, 284, 271, 269, 276, 994, 10823, 20481, 4590, 258, 3066, 421, 350, 369, 476, 20069, 31801, 489, 31365, 420, 371, 367, 13213, 485, 29072, 692, 7531, 322, 20975, 815, 18011, 13906, 272, 12887, 13906, 273, 12887, 13906, 274, 5073, 11907, 815, 27835, 17058, 9166, 12639, 20179, 27110, 263, 6344, 267, 21653, 284, 1911, 13211, 1038, 1412, 322, 14394, 9166, 12639, 20179, 26716, 4069, 6262, 20975, 267, 1911, 13211, 1038, 1412, 11161, 9166, 1911, 269, 271, 265, 12639, 20179, 20179, 5334, 2217, 263, 1911, 264, 8679, 4206, 815, 19073, 6185, 1092, 20988, 16597, 994, 2745, 29254, 994, 4206, 6155, 525, 9216, 4590, 4206, 269, 7901, 7120, 263, 2421, 8782, 322, 14394, 22779, 19930, 6241, 284, 9131, 11161, 11172, 2676, 19930, 7470, 25716, 994, 10823, 20481, 4590, 18257, 692, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 26417, 454, 5814, 21795, 607, 19073, 454, 5814, 26417, 454, 18411, 16344, 17575, 8782, 338, 527, 6390, 318, 933, 1430, 318, 5881, 268, 1001, 275, 27406, 7055, 5976, 1930, 3488, 323, 17805, 27406, 12887, 337, 10807, 553, 3758, 912, 825, 1948, 272, 269, 10254, 505, 417, 375, 374, 421, 502, 483, 13644, 375, 417, 503, 357, 28098, 420, 365, 350, 454, 825, 5467, 284, 322, 12364, 18667, 518, 3488, 323, 17805, 27406, 5073, 825, 1948, 273, 269, 13644, 375, 9463, 500, 24757, 10524, 370, 14035, 368, 32517, 350, 418, 479, 363, 454, 825, 20927, 32284, 284, 10113, 263, 1348, 518, 994, 825, 1948, 274, 269, 32517, 507, 11858, 502, 31006, 421, 360, 502, 418, 364, 498, 418, 372, 358, 12255, 29004, 362, 454, 825, 3923, 20311, 17342, 2639, 825, 585, 4737, 538, 5467, 912, 1038, 1948, 275, 269, 16533, 484, 21211, 31033, 4970, 366, 420, 377, 361, 29004, 351, 20992, 10533, 368, 417, 508, 489, 12255, 29004, 362, 454, 1038, 3923, 20311, 6910, 17301, 21405, 314, 272, 28413, 825, 1820, 263, 24629, 20311, 994, 18411, 18411, 4206, 815, 19073, 18667, 32269, 3488, 323, 17805, 27406, 3299, 8161, 22674, 284, 9131, 24629, 20311, 12887, 20135, 318, 16118, 262, 7481, 16118, 4289, 815, 17093, 18358, 20135, 318, 16118, 262, 4940, 339, 565, 626, 4590, 24629, 4289, 815, 17093, 18358, 24629, 20311, 262, 4940, 339, 565, 626, 4590, 10823, 19502, 263, 24629, 4289, 267, 16118, 4289, 267, 16932, 6889, 345, 17924, 5602, 10823, 269, 9471, 8443, 271, 267, 1321, 267, 1911, 1822, 267, 4335, 1822, 7481, 10823, 26644, 3488, 4818, 1415, 7443, 829, 3923, 5073, 10823, 11859, 16932, 3488, 16118, 13362, 3299, 10233, 8782, 326, 2001, 5073, 10823, 11859, 16932, 3488, 24629, 1297, 3299, 10233, 8782, 326, 2001, 5073, 10823, 19502, 3287, 8782, 24629, 20311, 3299, 344, 8782, 20135, 318, 16118, 5073, 10823, 20481, 4590, 18411, 0, 26611, 16535, 270, 7090, 274, 5897, 5814, 2979, 1477, 5814, 15259, 1477, 5814, 4351, 1477, 5814, 556, 1477, 5814, 19523, 1477, 5814, 5299, 1477, 258, 13159, 519, 1293, 26161, 1599, 2630, 23228, 3698, 1293, 26161, 9217, 19885, 267, 737, 267, 1535, 267, 546, 267, 2619, 8029, 825, 2619, 6910, 9217, 3418, 825, 952, 1775, 2525, 343, 543, 546, 2525, 333, 6769, 1038, 1820, 9638, 987, 3418, 1038, 2132, 476, 272, 1477, 825, 952, 546, 2525, 333, 543, 1775, 256, 284, 343, 6769, 1038, 2132, 476, 271, 1477, 825, 1293, 815, 476, 271, 1477, 825, 585, 795, 538, 2039, 263, 272, 267, 330, 1341, 272, 476, 8029, 1038, 952, 795, 256, 284, 328, 6769, 2018, 1293, 815, 1293, 1341, 12248, 26161, 27203, 19885, 267, 330, 21726, 28504, 266, 272, 22698, 4878, 19709, 788, 32476, 9638, 987, 17903, 825, 2132, 1293, 5897, 825, 1948, 17776, 519, 1297, 540, 2081, 547, 6445, 538, 519, 5044, 269, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 5897, 825, 562, 330, 343, 815, 3403, 14061, 20889, 31476, 825, 562, 815, 703, 3799, 330, 343, 314, 271, 316, 10142, 825, 737, 815, 703, 3799, 330, 343, 314, 272, 316, 10142, 825, 1535, 815, 703, 3799, 330, 343, 314, 273, 316, 10142, 825, 2626, 815, 1293, 26161, 263, 272, 267, 562, 267, 737, 267, 1535, 267, 272, 267, 26514, 3418, 825, 1820, 263, 24987, 260, 263, 1911, 1822, 1822, 278, 264, 10142, 0, 3698, 1265, 304, 783, 1881, 301, 13246, 28840, 26161, 8029, 825, 1297, 26161, 31699, 14052, 825, 759, 815, 834, 834, 1477, 825, 585, 1003, 538, 1297, 26161, 6769, 1038, 1003, 815, 1193, 16325, 3418, 1038, 952, 1412, 272, 262, 538, 1003, 543, 1412, 273, 262, 538, 1003, 543, 1412, 274, 262, 538, 1003, 6769, 2018, 759, 815, 759, 1341, 1412, 10086, 1477, 825, 952, 536, 944, 263, 637, 264, 568, 8771, 6769, 1038, 2132, 29038, 272, 29177, 825, 3116, 6769, 1038, 2132, 759, 24653, 22772, 304, 783, 1881, 301, 13246, 8443, 11277, 267, 476, 27174, 8079, 0, 26611, 16535, 270, 7090, 274, 5897, 5814, 2979, 1477, 5814, 15259, 1477, 5814, 4351, 1477, 5814, 556, 1477, 5814, 19523, 24653, 258, 13159, 519, 1293, 26161, 1599, 2630, 23228, 3698, 1293, 26161, 3799, 267, 737, 267, 1535, 8029, 825, 513, 815, 1496, 271, 585, 1775, 538, 2039, 3799, 266, 272, 13580, 1477, 825, 536, 815, 1496, 271, 585, 1775, 538, 2039, 3799, 266, 272, 13580, 1477, 825, 513, 314, 271, 316, 815, 476, 272, 952, 1535, 2652, 476, 272, 3116, 476, 271, 1477, 825, 536, 314, 271, 316, 815, 476, 271, 952, 1535, 2652, 476, 272, 3116, 476, 272, 24653, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 8029, 1038, 1820, 3488, 265, 20298, 1038, 513, 5157, 316, 815, 536, 5157, 910, 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 ]
[ 299, 867, 540, 519, 4469, 625, 2223, 855, 519, 772, 2529, 269, 11206, 6796, 3096, 519, 1523, 607, 811, 540, 513, 2713, 8047, 982, 513, 1514, 4603, 563, 763, 4400, 23683, 8249, 22544, 267, 2196, 676, 519, 11206, 6796, 267, 568, 513, 3018, 17489, 4316, 547, 4001, 513, 1007, 5108, 875, 547, 2463, 519, 19069, 1604, 563, 17556, 557, 670, 1446, 267, 19217, 800, 2067, 2200, 11285, 267, 1767, 519, 8561, 568, 593, 513, 968, 548, 1511, 5991, 334, 13652, 576, 1935, 547, 9001, 519, 19069, 2223, 646, 1767, 269, 968, 2171, 4001, 873, 519, 1697, 1259, 547, 2973, 909, 741, 1426, 865, 621, 3085, 1406, 1860, 7320, 610, 519, 1216, 3034, 763, 1053, 6108, 5216, 2395, 543, 17334, 538, 519, 23663, 517, 10979, 6199, 8187, 15227, 1565, 827, 519, 2042, 519, 1216, 267, 7320, 543, 2371, 616, 6849, 563, 27845, 23449, 16907, 578, 1157, 267, 606, 476, 1556, 628, 1178, 1457, 693, 19958, 4400, 3427, 729, 851, 540, 713, 1032, 779, 13186, 538, 4873, 563, 17606, 4957, 519, 1259, 594, 1589, 827, 519, 1858, 2223, 10878, 23449, 1767, 269, 968, 2005, 568, 513, 2731, 7168, 1858, 267, 855, 1631, 594, 917, 621, 568, 711, 607, 4625, 2635, 607, 3025, 14659, 621, 568, 3034, 27845, 23449, 1767, 519, 1995, 1500, 1200, 1589, 811, 827, 1018, 1352, 3762, 3297, 950, 1352, 11564, 519, 4104, 563, 295, 1446, 1572, 621, 513, 968, 8364, 787, 2987, 267, 4163, 13050, 892, 6138, 563, 763, 1053, 941, 3254, 1806, 540, 1434, 543, 3983, 13122, 547, 948, 12927, 519, 2856, 543, 789, 11273, 741, 1378, 968, 32612, 15227, 678, 9734, 12129, 3034, 763, 678, 13377, 948, 873, 5965, 835, 1790, 582, 267, 3810, 5991, 8130, 1190, 6980, 1210, 30618, 532, 588, 7174, 543, 12015, 1426, 547, 2569, 519, 1764, 593, 519, 13122, 924, 1858, 563, 2108, 2691, 789, 4734, 621, 568, 9277, 547, 1413, 519, 1482, 607, 950, 789, 3357, 538, 2223, 670, 1446, 1767, 269, 968, 296, 1589, 789, 3314, 621, 513, 2603, 3476, 950, 789, 1294, 621, 2864, 982, 1175, 6217, 827, 621, 689, 2576, 3034, 27396, 656, 29965, 10830, 518, 267, 476, 1626, 267, 945, 786, 581, 606, 476, 1556, 628, 1178, 1457, 713, 1032, 693, 667, 9391, 267, 1767, 646, 4121, 513, 2603, 827, 30618, 532, 267, 1945, 646, 2731, 21593, 563, 14881, 4769, 1406, 917, 875, 547, 1491, 1416, 540, 1250, 20203, 950, 22742, 2223, 646, 1767, 269, 968, 296, 917, 513, 2603, 811, 827, 875, 547, 1832, 519, 19069, 519, 1259, 621, 568, 3034, 298, 11481, 631, 690, 629, 267, 476, 1704, 267, 786, 581, 513, 476, 1321, 628, 1178, 1457, 693, 19958, 713, 1032, 543, 1767, 1352, 4862, 827, 519, 1982, 998, 1200, 3610, 563, 17606, 6743, 899, 1187, 269, 594, 4941, 547, 1451, 827, 30618, 532, 2223, 1352, 1767, 269, 968, 2005, 729, 2731, 1187, 269, 1284, 11739, 696, 538, 512, 757, 543, 649, 941, 3544, 6640, 547, 3781, 3034, 298, 11481, 1767, 519, 1995, 4957, 519, 1259, 1352, 14659, 827, 1200, 4478, 543, 1200, 2104, 563, 2108, 2691, 596, 616, 3544, 267, 596, 1175, 1376, 3168, 693, 1919, 596, 1810, 1406, 5469, 1354, 2223, 1352, 1767, 269, 968, 2005, 8118, 909, 513, 2603, 540, 4690, 547, 803, 267, 513, 2603, 811, 8631, 547, 1353, 899, 12961, 543, 2371, 3034, 9515, 1767, 1200, 5172, 2534, 729, 519, 10828, 540, 519, 590, 18649, 595, 821, 563, 763, 590, 18649, 595, 821, 568, 513, 27230, 5250, 602, 5654, 899, 606, 26700, 16365, 4672, 8645, 13409, 4646, 676, 7366, 540, 5215, 540, 1296, 540, 7777, 12074, 2451, 676, 513, 11164, 17331, 5614, 563, 763, 590, 18649, 595, 821, 814, 4644, 547, 519, 7111, 4892, 267, 670, 1446, 1767, 267, 543, 519, 1053, 616, 4280, 547, 1118, 909, 543, 957, 856, 741, 1378, 10828, 540, 519, 590, 18649, 595, 821, 563, 29467, 568, 513, 20498, 2070, 689, 519, 25170, 621, 568, 593, 269, 634, 3214, 666, 1294, 519, 5757, 2630, 543, 789, 616, 7168, 24330, 547, 581, 2111, 547, 1294, 1141, 789, 786, 6108, 519, 1985, 2185, 2395, 689, 513, 1164, 642, 656, 720, 1448, 2223, 670, 1446, 1767, 563, 27845, 23449, 1767, 519, 1995, 729, 2949, 1360, 2318, 1107, 1818, 1007, 2828, 543, 1565, 865, 1454, 1107, 855, 621, 8694, 609, 1200, 1929, 4771, 856, 593, 513, 838, 11712, 21721, 563, 2108, 16248, 2395, 1354, 519, 1439, 649, 941, 19482, 267, 543, 593, 519, 1259, 1394, 267, 649, 1185, 547, 7914, 936, 782, 891, 2370, 12535, 267, 543, 594, 8593, 543, 838, 11712, 1250, 21721, 2223, 10878, 23449, 1767, 563, 7922, 820, 1767, 1010, 5172, 851, 729, 519, 1863, 942, 519, 1053, 941, 4847, 563, 14071, 1223, 798, 8726, 649, 4941, 543, 594, 729, 1175, 4881, 782, 936, 519, 1747, 543, 17259, 538, 519, 5757, 2223, 646, 1767, 563, 295, 1446, 1767, 519, 1985, 1032, 779, 1982, 2141, 5673, 593, 519, 7616, 267, 855, 646, 14659, 621, 568, 2693, 789, 786, 1205, 1018, 789, 991, 563, 763, 6437, 568, 2356, 827, 519, 1482, 267, 646, 1767, 267, 1317, 519, 1053, 2161, 789, 899, 621, 563, 14071, 2461, 711, 2469, 547, 1689, 1945, 602, 568, 5870, 938, 3853, 2223, 646, 1767, 563, 1607, 1032, 519, 13163, 540, 8092, 5004, 2968, 513, 7649, 543, 789, 3177, 2244, 593, 519, 18234, 590, 18150, 681, 21123, 607, 513, 3490, 3786, 563, 17606, 5249, 856, 4898, 2685, 2223, 670, 1446, 1767, 269, 968, 2005, 729, 606, 2653, 3562, 21553, 921, 618, 11450, 543, 649, 5660, 519, 948, 789, 5795, 547, 519, 13186, 713, 1032, 3034, 763, 7982, 13474, 21696, 5443, 540, 21600, 267, 23683, 3848, 267, 5280, 3640, 782, 519, 3937, 883, 543, 856, 540, 519, 19069, 543, 849, 3177, 513, 15321, 3434, 713, 1032, 563, 763, 1982, 1223, 711, 979, 593, 1510, 891, 543, 824, 13538, 267, 646, 1767, 563, 2108, 3080, 540, 519, 16525, 1043, 4891, 616, 519, 13538, 543, 1004, 945, 3565, 2724, 547, 948, 519, 3214, 609, 14261, 543, 609, 519, 5106, 540, 519, 13186, 2223, 670, 1446, 1767, 563, 2690, 811, 1344, 543, 547, 1205, 593, 519, 544, 9430, 1592, 585, 519, 13186, 267, 1289, 670, 1446, 693, 519, 11206, 6796, 267, 476, 6434, 273, 268, 28510, 277, 267, 610, 1289, 18281, 16019, 693, 519, 13163, 540, 8092, 5004, 267, 476, 279, 5952, 268, 277, 1691, 279, 563, 763, 16680, 4211, 537, 8175, 661, 17733, 281, 18078, 17106, 11333, 3820, 454, 14106, 6002, 6651, 1923, 5240, 1923, 667, 1392, 687, 1923, 10369, 2897, 1923, 16661, 1923, 7991, 454, 15648, 267, 512, 1695, 4141, 2593, 269, 10049, 8659, 1369, 713, 3135, 949, 454, 2254, 581, 1031, 1510, 10479, 269, 0, 1432, 1772, 606, 10500, 573, 822, 527, 888, 2304, 3413, 573, 822, 527, 568, 513, 2854, 3948, 540, 5013, 602, 568, 32380, 1500, 676, 606, 3413, 5050, 896, 676, 522, 987, 543, 621, 568, 1031, 607, 513, 4062, 540, 2963, 693, 5480, 269, 898, 568, 1360, 1271, 585, 519, 3413, 573, 822, 527, 547, 1205, 711, 541, 1242, 269, 2060, 519, 948, 540, 513, 711, 776, 610, 519, 30934, 540, 744, 23411, 267, 519, 2854, 3948, 786, 581, 8076, 609, 519, 3413, 5050, 781, 15040, 607, 513, 3020, 2594, 269, 898, 949, 849, 581, 2220, 1941, 676, 824, 1004, 945, 1489, 707, 2013, 899, 22168, 269, 901, 2854, 3948, 568, 835, 540, 519, 1292, 2081, 547, 1459, 2963, 610, 5013, 547, 519, 5480, 269, 769, 930, 2665, 267, 519, 5480, 3096, 513, 30675, 1106, 25656, 543, 3413, 573, 822, 527, 6898, 666, 581, 2854, 538, 519, 1101, 16512, 1448, 540, 2070, 269, 1323, 3413, 573, 822, 527, 666, 581, 1031, 538, 1082, 2665, 899, 7365, 267, 646, 15077, 1222, 267, 1126, 26692, 267, 2531, 545, 850, 610, 32031, 267, 4108, 267, 11776, 267, 5179, 6174, 9042, 267, 543, 1256, 2123, 2665, 899, 1434, 5837, 1915, 610, 4332, 22783, 563, 1692, 547, 3503, 606, 10500, 573, 822, 527, 454, 21430, 606, 3413, 573, 822, 527, 568, 711, 865, 2352, 547, 5965, 607, 1279, 607, 519, 2838, 1344, 568, 1373, 3177, 1134, 269, 1280, 596, 547, 581, 11461, 267, 1934, 616, 519, 1739, 3268, 593, 875, 547, 2328, 606, 3413, 573, 822, 527, 563, 272, 269, 7170, 707, 15048, 454, 5575, 540, 782, 267, 2140, 707, 3413, 573, 822, 527, 3948, 609, 513, 1978, 1309, 1632, 602, 568, 2653, 585, 519, 5480, 547, 2697, 269, 3629, 513, 2140, 543, 513, 5618, 1309, 1632, 540, 1018, 519, 3413, 573, 822, 527, 568, 782, 827, 269, 1403, 519, 3413, 573, 822, 527, 7291, 568, 782, 827, 519, 2220, 1941, 3948, 267, 1331, 519, 2012, 543, 519, 2232, 593, 519, 2140, 899, 834, 288, 742, 573, 822, 527, 540, 630, 4067, 29215, 1403, 519, 3413, 573, 822, 527, 25457, 609, 30675, 1106, 267, 1331, 519, 1309, 1632, 540, 519, 2013, 693, 519, 1283, 543, 1590, 1331, 519, 2012, 540, 519, 5480, 267, 519, 10315, 543, 519, 1533, 267, 519, 4408, 540, 519, 6105, 630, 604, 972, 568, 1022, 1070, 543, 519, 2013, 1297, 563, 273, 269, 3629, 31999, 6176, 454, 2026, 519, 3413, 5050, 267, 621, 568, 1271, 547, 1683, 707, 2556, 1344, 538, 519, 3413, 573, 822, 527, 269, 634, 1344, 1590, 581, 3177, 899, 707, 2407, 2012, 267, 3023, 267, 2232, 267, 4266, 540, 4332, 267, 13567, 267, 11776, 4567, 267, 543, 707, 2078, 547, 519, 29153, 656, 952, 835, 610, 811, 6105, 3238, 538, 519, 27779, 563, 274, 269, 3503, 513, 15048, 540, 18266, 454, 9359, 1603, 707, 3948, 602, 5693, 11840, 730, 519, 6041, 540, 707, 2220, 1941, 5013, 269, 10558, 707, 3948, 602, 2882, 782, 540, 519, 1344, 596, 723, 593, 513, 1978, 1641, 269, 5269, 707, 3732, 6898, 2653, 547, 1224, 1510, 14845, 519, 3988, 269, 4340, 547, 606, 2376, 267, 621, 568, 1455, 538, 519, 772, 2529, 269, 547, 1439, 606, 3413, 5050, 779, 3948, 609, 519, 4845, 267, 834, 10702, 10500, 5050, 2161, 996, 711, 4799, 275, 269, 2037, 636, 4733, 519, 12700, 454, 2026, 596, 1533, 519, 5168, 267, 26246, 519, 5013, 593, 741, 1378, 9433, 609, 13042, 2338, 865, 621, 568, 2653, 585, 519, 3988, 547, 1224, 269, 5269, 2386, 519, 5013, 616, 11231, 9935, 538, 1931, 676, 519, 2621, 267, 519, 10083, 540, 519, 2665, 267, 543, 865, 593, 269, 6333, 1142, 1249, 1590, 581, 5532, 1927, 538, 513, 10257, 6073, 269, 3629, 519, 4408, 267, 7389, 267, 9607, 267, 543, 824, 1344, 602, 568, 2877, 585, 707, 5013, 269, 2598, 2958, 731, 1346, 11991, 3877, 269, 4340, 547, 513, 11967, 2707, 267, 798, 711, 7340, 547, 9959, 707, 3413, 573, 822, 527, 676, 17548, 519, 1249, 602, 596, 723, 2854, 543, 4843, 782, 707, 1702, 1369, 519, 2013, 610, 602, 596, 723, 2016, 782, 2556, 6054, 543, 2963, 2877, 585, 519, 2013, 269, 4107, 11932, 267, 581, 2015, 622, 543, 581, 9237, 563, 276, 269, 10500, 5050, 781, 6178, 1155, 585, 519, 744, 987, 454, 14294, 2137, 616, 1360, 1271, 538, 3656, 6054, 607, 713, 1131, 24901, 602, 789, 616, 22992, 3020, 269, 1306, 519, 3413, 5050, 267, 621, 568, 2556, 547, 1683, 513, 15040, 3625, 538, 707, 3413, 573, 822, 527, 3898, 543, 1331, 519, 9102, 2012, 269, 2659, 15040, 1590, 581, 2944, 609, 519, 4527, 540, 519, 711, 776, 610, 30934, 540, 744, 23411, 563, 277, 269, 3417, 3502, 776, 6178, 1155, 13332, 543, 853, 10102, 454, 2026, 519, 3413, 573, 822, 527, 7475, 267, 519, 711, 776, 1590, 1683, 513, 2220, 1941, 3948, 602, 519, 3413, 5050, 7902, 538, 519, 711, 776, 267, 2220, 1941, 519, 6898, 267, 543, 4951, 824, 3656, 2963, 269, 634, 3413, 573, 822, 527, 786, 581, 6461, 5344, 607, 1279, 607, 621, 568, 849, 9896, 543, 16826, 539, 676, 519, 711, 776, 269, 0, 9596, 543, 1353, 827, 519, 5888, 267, 2497, 543, 4205, 540, 10408, 6675, 971, 607, 31332, 7408, 543, 5946, 676, 25935, 543, 30228, 873, 269, 3973, 1210, 873, 585, 1565, 1585, 2553, 540, 1234, 18474, 5364, 5027, 5303, 454, 19138, 519, 7936, 540, 2257, 602, 568, 7255, 609, 519, 6878, 540, 799, 2339, 568, 7768, 267, 519, 7634, 540, 741, 3601, 543, 6547, 267, 543, 519, 946, 540, 971, 6547, 547, 1106, 1007, 6878, 563, 15447, 875, 2257, 568, 13321, 689, 6632, 2978, 547, 3819, 2978, 543, 1205, 707, 3946, 6823, 538, 519, 2361, 540, 6915, 514, 26197, 269, 6258, 875, 547, 2445, 543, 20272, 1950, 6211, 1239, 971, 607, 4719, 9479, 543, 875, 5061, 616, 2966, 543, 29971, 538, 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 ]
[ 1290, 14685, 26386, 3267, 5678, 910, 918, 2335, 3385, 268, 4353, 20081, 601, 30253, 268, 272, 309, 270, 20474, 268, 4353, 26260, 785, 328, 268, 272, 309, 270, 21589, 706, 268, 272, 309, 270, 3943, 268, 4353, 454, 763, 661, 12915, 21480, 540, 519, 4095, 9139, 630, 4198, 272, 264, 934, 3581, 4013, 4567, 547, 2185, 667, 9545, 22941, 4654, 281, 20474, 267, 30017, 15401, 267, 918, 2335, 3385, 543, 20052, 30253, 269, 1452, 4654, 723, 1279, 12583, 6592, 538, 3134, 19973, 543, 5065, 2148, 2137, 281, 20474, 7389, 689, 2034, 2540, 7460, 267, 918, 2335, 3385, 689, 476, 275, 2540, 5084, 267, 4429, 763, 4095, 9139, 3357, 883, 3196, 538, 22758, 593, 476, 2918, 5130, 476, 4198, 271, 609, 2027, 21291, 585, 519, 1533, 269, 9139, 3267, 634, 9668, 540, 29242, 543, 519, 20052, 30253, 18702, 4525, 540, 8496, 6652, 3557, 13087, 519, 5137, 540, 606, 14311, 20474, 18702, 1533, 540, 20474, 24385, 340, 269, 2201, 476, 272, 2904, 454, 288, 16684, 3778, 540, 1977, 20052, 30253, 5948, 1547, 1290, 680, 1221, 1299, 8242, 676, 281, 14076, 21983, 8705, 681, 7776, 1855, 330, 7356, 3267, 589, 11156, 12233, 729, 4646, 547, 25666, 519, 4930, 543, 676, 4031, 585, 11083, 288, 896, 519, 11381, 26206, 540, 12246, 541, 8403, 6250, 9774, 987, 600, 269, 634, 8908, 11156, 729, 454, 2420, 4654, 616, 7396, 896, 476, 279, 628, 8430, 540, 519, 4095, 11156, 1496, 6518, 2882, 1079, 17174, 4654, 4149, 13183, 8932, 543, 26636, 334, 4940, 634, 20072, 540, 3162, 543, 3267, 20474, 267, 20052, 30253, 543, 21460, 316, 4607, 693, 519, 2817, 7732, 267, 918, 13083, 1092, 896, 519, 14074, 540, 519, 24822, 540, 3883, 1496, 21504, 8021, 316, 4429, 1729, 519, 4095, 9139, 269, 769, 519, 12687, 540, 14412, 267, 891, 7620, 22921, 476, 1691, 282, 3267, 30017, 15401, 267, 20474, 543, 20052, 30253, 1070, 1079, 616, 17230, 334, 5174, 584, 332, 3150, 630, 289, 29081, 543, 28294, 19441, 1070, 835, 568, 3243, 549, 268, 2026, 328, 1738, 630, 306, 13183, 8932, 1070, 543, 519, 6967, 476, 1428, 616, 21475, 5025, 32569, 630, 320, 15410, 540, 21475, 26049, 1916, 663, 519, 4027, 6035, 547, 10409, 18441, 538, 519, 4095, 9139, 568, 8947, 269, 3267, 512, 542, 630, 324, 3052, 1421, 20052, 30253, 20404, 538, 519, 918, 2335, 3385, 18702, 1533, 540, 31016, 31540, 5148, 630, 13839, 264, 10529, 10362, 547, 16516, 5641, 525, 543, 11031, 630, 324, 3052, 1421, 717, 1180, 328, 267, 5842, 628, 8932, 2676, 272, 3848, 476, 272, 281, 4985, 4340, 547, 17227, 540, 3127, 630, 1220, 272, 1070, 3127, 814, 476, 2420, 4013, 4654, 3769, 538, 519, 21632, 8430, 540, 519, 4095, 11156, 563, 763, 7726, 1957, 568, 1305, 538, 2296, 543, 1098, 571, 1221, 3352, 330, 1729, 20052, 30253, 1893, 269, 634, 2296, 4528, 786, 581, 2808, 607, 519, 8076, 4528, 585, 3267, 6904, 9137, 540, 519, 4095, 9139, 3081, 602, 519, 3557, 4927, 1491, 3268, 547, 1418, 1047, 22810, 7754, 577, 599, 1846, 547, 1599, 607, 4559, 2986, 1582, 268, 10350, 4429, 21026, 4095, 5948, 630, 306, 8656, 264, 8940, 4732, 1926, 785, 1014, 817, 27937, 2593, 3267, 918, 2335, 3385, 30017, 15401, 20474, 20052, 30253, 11192, 3885, 538, 707, 9351, 630, 15307, 1493, 2567, 3267, 2353, 2818, 1058, 705, 728, 676, 519, 11156, 540, 519, 5948, 454, 19328, 779, 11156, 17767, 476, 21854, 1114, 4095, 4654, 267, 855, 19446, 543, 3267, 1927, 519, 20052, 30253, 18702, 2127, 540, 519, 5449, 3703, 11662, 540, 8496, 6652, 543, 5754, 1457, 5953, 321, 5953, 323, 1533, 563, 24465, 9139, 282, 630, 13839, 264, 13751, 25088, 543, 513, 4595, 516, 4521, 9807, 282, 630, 643, 264, 590, 8205, 19413, 1765, 8892, 540, 3127, 630, 9827, 538, 19446, 267, 20474, 267, 20052, 30253, 543, 21460, 21820, 5148, 543, 630, 341, 264, 14640, 5025, 337, 571, 1188, 11873, 538, 1656, 31137, 21423, 910, 15503, 267, 1656, 31137, 3967, 1092, 630, 320, 20052, 30253, 3232, 994, 307, 601, 30253, 267, 21460, 269, 476, 274, 269, 16888, 267, 20700, 543, 21502, 320, 267, 623, 269, 590, 269, 769, 591, 974, 24260, 25672, 1108, 590, 25941, 7577, 17290, 267, 5564, 545, 565, 712, 15428, 1196, 333, 476, 1220, 280, 267, 1065, 11781, 476, 1001, 271, 3267, 634, 4095, 9139, 281, 4856, 1676, 7723, 540, 513, 13780, 744, 16810, 3127, 267, 4095, 1196, 333, 476, 3192, 273, 267, 476, 1428, 628, 1065, 11781, 476, 1001, 271, 454, 24916, 267, 519, 4095, 9139, 849, 14219, 1235, 1978, 4295, 11645, 602, 1169, 12504, 568, 4397, 547, 1685, 269, 1452, 616, 1634, 607, 27284, 667, 583, 625, 269, 3267, 6684, 20052, 30253, 267, 918, 2335, 611, 543, 10854, 8403, 6340, 1004, 616, 538, 12102, 538, 1034, 540, 519, 2276, 538, 3127, 4849, 538, 741, 1378, 267, 1775, 4318, 269, 1656, 31137, 21423, 2676, 307, 601, 30253, 270, 21206, 2296, 270, 11321, 27821, 26260, 785, 328, 3040, 6355, 9442, 3040, 16373, 5004, 3040, 23654, 19098, 3040, 6796, 5004, 3040, 4139, 6355, 3040, 4095, 9139, 12054, 6856, 476, 275, 454, 27771, 543, 519, 30899, 10620, 267, 918, 2335, 3385, 267, 30017, 15401, 267, 18112, 5984, 267, 717, 584, 332, 4157, 6062, 267, 20474, 267, 543, 20052, 30253, 20072, 269, 22758, 328, 543, 21460, 616, 6719, 676, 14726, 540, 519, 6431, 334, 5025, 32106, 7097, 267, 6466, 19446, 267, 23951, 330, 8643, 267, 3267, 4095, 9139, 616, 7396, 607, 1292, 6688, 267, 1247, 4654, 1510, 4830, 454, 22873, 14306, 585, 4095, 5678, 16843, 16214, 3267, 4095, 11156, 17767, 476, 2537, 540, 16667, 1017, 4654, 269, 7324, 891, 4654, 267, 19446, 630, 12671, 476, 3607, 277, 2929, 14255, 268, 3267, 20052, 30253, 630, 5780, 2929, 10529, 1070, 3057, 27821, 630, 8287, 17524, 687, 701, 5474, 1070, 663, 20474, 630, 7871, 17524, 687, 701, 5474, 994, 7918, 4095, 9139, 693, 4518, 6145, 1034, 11180, 1526, 4801, 267, 519, 9139, 540, 3127, 4267, 782, 891, 2055, 269, 1306, 596, 666, 1294, 267, 519, 1101, 1614, 2055, 454, 8016, 20745, 585, 20052, 30253, 267, 543, 2296, 4654, 267, 513, 840, 268, 3267, 630, 24465, 11156, 7608, 264, 4654, 269, 5565, 610, 811, 540, 891, 4654, 949, 581, 2854, 538, 835, 7097, 269, 3828, 10679, 1114, 20072, 616, 1031, 585, 1603, 891, 4654, 563, 24465, 9139, 630, 289, 2480, 264, 476, 2918, 269, 1556, 269, 1001, 273, 631, 31631, 589, 312, 13188, 268, 7656, 20324, 1470, 268, 22897, 268, 7656, 476, 2764, 269, 1556, 269, 1001, 273, 3267, 5678, 1107, 918, 2335, 3385, 16927, 20081, 601, 30253, 16927, 19072, 531, 599, 15401, 16927, 20081, 7056, 16927, 13478, 14234, 16927, 26260, 785, 328, 16927, 270, 21460, 16927, 12458, 32106, 16927, 18025, 619, 1014, 16927, 22077, 3402, 16927, 270, 21206, 2296, 16927, 476, 4962, 269, 1556, 269, 1001, 273, 631, 2177, 31165, 0, 29806, 4530, 910, 10434, 454, 25200, 281, 23084, 1693, 26649, 20540, 281, 23084, 13090, 2008, 1607, 7688, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 5808, 729, 519, 21717, 5018, 538, 3848, 476, 4510, 888, 273, 269, 6904, 540, 519, 1739, 2010, 540, 1648, 729, 2808, 547, 723, 8329, 547, 7720, 657, 321, 745, 1375, 518, 781, 2942, 10182, 4724, 2021, 538, 3848, 476, 2568, 888, 274, 269, 5808, 5433, 7409, 1243, 543, 24330, 676, 513, 1762, 18211, 7095, 4807, 538, 3848, 476, 6078, 888, 275, 269, 3683, 1018, 1974, 540, 942, 1185, 519, 1268, 538, 3848, 476, 5038, 9921, 323, 888, 276, 269, 6904, 540, 519, 1739, 941, 519, 4111, 757, 807, 13631, 547, 538, 3848, 476, 5325, 888, 24718, 543, 4334, 519, 26841, 540, 519, 1079, 4775, 3197, 538, 519, 1433, 267, 12844, 1228, 320, 543, 22548, 23579, 269, 1215, 616, 789, 2147, 286, 1215, 616, 789, 1114, 286, 1215, 616, 741, 10700, 2833, 2147, 286, 1548, 568, 519, 3992, 602, 519, 2278, 16858, 547, 6655, 998, 741, 1806, 888, 763, 1909, 540, 2021, 538, 634, 2494, 9453, 19120, 885, 3217, 593, 1360, 1114, 3029, 269, 1280, 1383, 267, 12844, 1228, 320, 568, 513, 5134, 816, 945, 11851, 338, 1379, 538, 519, 23103, 267, 1247, 22548, 23579, 568, 513, 7385, 4171, 705, 1817, 5270, 585, 27217, 1272, 11479, 1200, 9393, 14834, 269, 14674, 563, 15404, 559, 11828, 1312, 32742, 543, 2112, 12667, 569, 538, 634, 2494, 9453, 19120, 885, 269, 4855, 930, 1806, 540, 1482, 538, 519, 1433, 267, 543, 1865, 519, 1198, 540, 1346, 3584, 593, 21853, 5341, 781, 1915, 563, 1607, 3296, 3568, 476, 13078, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 9213, 267, 4989, 476, 2420, 267, 568, 3047, 4303, 269, 1548, 1281, 602, 1611, 4010, 286, 898, 1797, 513, 2603, 540, 1919, 855, 1034, 11932, 267, 3047, 4303, 568, 513, 1554, 547, 8661, 543, 8956, 938, 4541, 3047, 269, 1677, 798, 1945, 267, 1100, 2339, 875, 2462, 610, 1507, 267, 547, 18359, 267, 2149, 267, 610, 8190, 938, 4541, 547, 8853, 593, 585, 1082, 267, 1082, 1296, 563, 288, 1906, 2656, 5013, 827, 3047, 4303, 912, 268, 634, 1101, 3047, 4303, 729, 9976, 593, 4989, 476, 2420, 267, 476, 3192, 271, 1141, 476, 736, 2929, 1004, 10356, 538, 519, 10754, 540, 3013, 547, 13889, 519, 11633, 7169, 563, 268, 769, 476, 1220, 280, 267, 519, 2136, 8315, 26948, 3047, 4303, 267, 4139, 12624, 3047, 4303, 454, 268, 27737, 22985, 331, 867, 20307, 8547, 3047, 4303, 538, 519, 2136, 2276, 269, 769, 6284, 540, 1010, 2182, 960, 267, 646, 4607, 519, 30814, 29274, 540, 15213, 13815, 563, 268, 2859, 982, 476, 1911, 8536, 1004, 538, 3624, 887, 1372, 741, 21891, 593, 3047, 4303, 476, 1001, 273, 269, 1358, 1705, 713, 547, 4688, 4492, 543, 547, 2569, 519, 2910, 273, 5434, 689, 6472, 563, 268, 2859, 982, 476, 272, 5479, 1004, 941, 14120, 3047, 4303, 676, 476, 1001, 271, 267, 799, 729, 3047, 4303, 781, 476, 2412, 628, 16683, 269, 2859, 982, 476, 5197, 2477, 9976, 267, 543, 9365, 814, 1831, 513, 2442, 1907, 547, 3262, 519, 2262, 563, 268, 3047, 4303, 568, 5921, 547, 1397, 1489, 585, 7863, 519, 1604, 563, 288, 1906, 2656, 4128, 1946, 713, 1554, 568, 865, 1271, 912, 6826, 2386, 547, 798, 707, 851, 2221, 267, 543, 1169, 1554, 267, 547, 948, 8190, 938, 4541, 585, 938, 1453, 543, 741, 2104, 269, 0, 21080, 24650, 568, 9750, 519, 946, 540, 6775, 3146, 514, 1721, 1027, 2326, 267, 1793, 4770, 2597, 676, 476, 1839, 2600, 936, 11956, 269, 1809, 607, 6165, 4679, 267, 865, 1281, 519, 10171, 18674, 2694, 786, 11523, 269, 9282, 18015, 538, 6775, 3146, 514, 1721, 1027, 2326, 4228, 811, 7444, 607, 789, 1332, 267, 21804, 543, 15915, 1131, 1869, 899, 547, 917, 891, 18015, 616, 19481, 543, 6378, 3533, 269, 5794, 24650, 568, 2324, 609, 32068, 9300, 20536, 2473, 523, 2975, 338, 547, 11753, 1279, 267, 6775, 6438, 8596, 1369, 6775, 3146, 514, 1721, 1027, 5068, 3334, 269, 634, 4611, 538, 1922, 2775, 8484, 7293, 2079, 1062, 786, 6895, 519, 4835, 1072, 540, 2629, 7293, 3334, 11179, 1282, 8184, 269, 5455, 547, 476, 2412, 9300, 4610, 666, 581, 11117, 8195, 1369, 835, 6775, 563, 22498, 543, 645, 27739, 2919, 513, 5458, 267, 3327, 12432, 3956, 8328, 4492, 7382, 585, 2620, 2230, 13485, 267, 543, 3323, 4152, 621, 2063, 3923, 269, 634, 476, 1240, 268, 1111, 3956, 582, 1678, 786, 5512, 5230, 2000, 3424, 10131, 6472, 547, 6494, 1312, 3425, 543, 11608, 883, 2620, 2230, 563, 30696, 593, 26386, 5161, 540, 476, 3393, 18826, 593, 11060, 5049, 602, 3382, 513, 3984, 540, 4066, 269, 1411, 1451, 1510, 6028, 519, 4313, 540, 707, 11380, 269, 2353, 5049, 616, 6026, 676, 1641, 2173, 2660, 4966, 543, 782, 616, 2895, 1882, 269, 1924, 952, 596, 666, 1405, 7390, 2661, 267, 7390, 693, 707, 13418, 269, 0, 4504, 337, 31335, 267, 15329, 550, 10263, 267, 610, 667, 836, 2730, 23063, 6672, 454, 4322, 5773, 616, 5497, 547, 1683, 513, 9709, 3210, 547, 5732, 454, 24825, 550, 610, 1272, 18446, 3871, 971, 607, 7606, 609, 32205, 267, 1524, 539, 3167, 454, 6050, 267, 3114, 29908, 267, 610, 1022, 824, 5906, 3510, 269, 634, 1101, 1900, 568, 547, 711, 1518, 519, 454, 1440, 4532, 7625, 269, 634, 9030, 786, 1287, 14773, 936, 519, 954, 1260, 267, 968, 763, 12223, 13090, 814, 454, 11034, 539, 1848, 634, 9030, 786, 849, 3346, 519, 3617, 8116, 585, 6351, 269, 634, 10332, 454, 30524, 581, 23545, 539, 609, 519, 3948, 267, 968, 763, 13322, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 936, 15823, 540, 873, 269, 1879, 9755, 2322, 4006, 593, 519, 6003, 267, 789, 1419, 2736, 873, 1524, 547, 1896, 2010, 540, 4006, 267, 865, 621, 3085, 1406, 2408, 693, 519, 1283, 540, 519, 1592, 540, 5820, 269, 2334, 8945, 2044, 1223, 1611, 1256, 952, 596, 2461, 6297, 267, 596, 1522, 581, 3478, 811, 4006, 982, 596, 8910, 2479, 2503, 563, 268, 2290, 540, 519, 1034, 15469, 2010, 540, 4006, 267, 670, 293, 5425, 267, 568, 1336, 538, 3592, 1169, 9268, 1426, 269, 898, 23465, 8335, 538, 707, 1560, 543, 2965, 4679, 707, 14031, 267, 799, 949, 2272, 585, 519, 2799, 4473, 538, 8377, 269, 898, 4679, 519, 1761, 585, 12110, 267, 2295, 2068, 543, 3441, 547, 519, 7181, 16298, 563, 268, 15310, 729, 2899, 2219, 547, 581, 519, 5636, 664, 538, 2295, 2068, 267, 855, 519, 2101, 1353, 15738, 547, 3170, 729, 6976, 585, 676, 519, 4006, 2872, 543, 30096, 269, 898, 7140, 856, 602, 4849, 585, 1098, 9600, 267, 4006, 568, 519, 6305, 27521, 563, 268, 17491, 31591, 519, 1482, 2634, 2127, 607, 25933, 269, 3509, 3744, 1589, 621, 949, 581, 607, 22925, 607, 602, 3075, 269, 898, 7679, 31013, 609, 938, 2631, 540, 6492, 267, 1818, 7363, 6653, 3536, 6492, 1447, 6653, 563, 268, 1403, 707, 1973, 2604, 568, 1164, 267, 5969, 856, 6070, 2337, 267, 855, 865, 1281, 5969, 856, 3063, 4006, 269, 2368, 2090, 1397, 4006, 949, 581, 513, 8338, 1055, 2658, 982, 6070, 547, 1118, 519, 2338, 4473, 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 ]
[ 849, 1634, 607, 3574, 2083, 14613, 267, 2874, 540, 513, 7848, 540, 623, 6369, 543, 5386, 3574, 5536, 610, 11103, 269, 634, 1267, 568, 513, 27129, 602, 711, 1152, 5654, 899, 3574, 855, 849, 814, 2147, 3601, 563, 24841, 2861, 2083, 14613, 2709, 2189, 12716, 7907, 269, 634, 16493, 723, 513, 3982, 3574, 6438, 5920, 267, 609, 7298, 3574, 10286, 543, 9403, 269, 901, 2306, 873, 513, 2442, 3903, 585, 7499, 3785, 543, 16560, 3688, 269, 3958, 267, 519, 3574, 5536, 538, 519, 27129, 2285, 519, 16493, 513, 2067, 1745, 543, 1118, 873, 811, 17426, 3379, 547, 824, 2326, 563, 4913, 267, 3574, 2861, 2083, 14613, 798, 723, 741, 2591, 269, 9603, 547, 519, 4527, 540, 3574, 5536, 267, 519, 27129, 666, 581, 31492, 543, 949, 5957, 1524, 519, 17002, 30979, 5488, 982, 2757, 2083, 14613, 269, 898, 568, 849, 1271, 547, 4063, 602, 891, 2083, 14613, 723, 513, 2539, 13621, 1448, 3379, 547, 824, 2326, 267, 1818, 873, 1447, 5078, 585, 6198, 2694, 602, 2154, 2362, 4222, 269, 1280, 513, 2347, 3872, 1995, 267, 649, 2303, 713, 5007, 2707, 14095, 609, 24045, 543, 22317, 3877, 269, 1655, 476, 274, 323, 17002, 2083, 14613, 267, 10625, 4195, 5380, 593, 519, 1888, 4988, 563, 2026, 519, 3747, 585, 10357, 7888, 8925, 5170, 547, 1332, 267, 519, 476, 274, 291, 8228, 2872, 814, 15527, 609, 1585, 4264, 27129, 3681, 269, 623, 6369, 27129, 267, 609, 922, 27500, 2470, 543, 1970, 2825, 1764, 267, 3788, 513, 1283, 3903, 585, 1082, 3755, 269, 1234, 7094, 539, 27946, 294, 27129, 2488, 519, 4316, 547, 2569, 5068, 3653, 1247, 4509, 15006, 269, 8381, 2861, 2083, 14613, 267, 593, 519, 824, 1688, 267, 2709, 513, 2189, 12716, 9029, 269, 3962, 4781, 814, 922, 5294, 543, 931, 267, 543, 7446, 519, 1318, 27129, 5673, 593, 519, 1808, 4170, 540, 519, 1788, 269, 1635, 8939, 606, 10357, 7888, 27129, 267, 476, 274, 291, 8228, 12439, 666, 3565, 547, 513, 811, 4264, 2104, 563, 23763, 547, 5490, 4514, 883, 519, 1641, 4988, 538, 713, 2376, 286, 7457, 519, 1644, 9708, 649, 4076, 6074, 547, 9148, 707, 2542, 281, 0, 4407, 18226, 620, 23906, 1723, 593, 513, 3636, 4832, 1554, 267, 649, 1419, 1265, 6000, 4687, 938, 6980, 609, 930, 796, 28717, 1243, 14538, 1107, 10987, 269, 2755, 789, 949, 711, 581, 938, 5172, 851, 827, 4189, 13964, 267, 891, 1802, 560, 686, 748, 7786, 616, 4105, 547, 938, 5117, 269, 2142, 525, 267, 2470, 781, 30508, 25199, 267, 1404, 513, 2629, 1909, 538, 2413, 6683, 267, 4180, 519, 2208, 540, 1082, 540, 519, 3536, 649, 7048, 593, 269, 10251, 267, 891, 18388, 532, 12325, 616, 6849, 513, 25680, 3463, 269, 12207, 3695, 519, 4241, 1158, 540, 1623, 6798, 2670, 949, 723, 16686, 2390, 513, 6602, 602, 1223, 22499, 938, 1620, 540, 10987, 543, 741, 8134, 269, 901, 18784, 7706, 267, 799, 729, 5892, 6456, 689, 721, 267, 568, 519, 1445, 540, 519, 3750, 19945, 2287, 17245, 834, 15228, 6798, 2670, 257, 676, 4303, 781, 22750, 8605, 687, 563, 763, 27392, 268, 24456, 23688, 783, 1143, 912, 289, 4315, 723, 1044, 18388, 532, 1472, 585, 936, 476, 1911, 2929, 1296, 267, 29367, 29000, 2371, 538, 12093, 269, 769, 9759, 267, 789, 2671, 513, 20102, 6225, 2078, 609, 2371, 281, 10987, 2445, 14947, 547, 3049, 741, 1762, 267, 543, 538, 2132, 267, 789, 7520, 519, 26853, 540, 2371, 269, 901, 11450, 1063, 10987, 543, 2371, 814, 1044, 1898, 585, 1312, 741, 6668, 543, 519, 4763, 540, 938, 2067, 1158, 563, 763, 2622, 540, 8187, 2142, 525, 912, 2691, 649, 1589, 540, 10987, 267, 649, 1419, 8580, 675, 2592, 540, 9932, 32048, 269, 1717, 267, 9932, 32048, 616, 711, 5065, 547, 3345, 3013, 543, 941, 5189, 5553, 3516, 676, 3864, 21152, 269, 634, 11782, 729, 2907, 31523, 609, 5065, 13520, 2249, 267, 609, 936, 476, 275, 267, 1822, 3982, 8677, 269, 2368, 540, 891, 5065, 10987, 616, 4105, 7693, 25199, 267, 1247, 1866, 1404, 606, 8449, 2629, 1909, 538, 3542, 3215, 5065, 3552, 25154, 543, 2371, 563, 22069, 3202, 16140, 715, 20535, 2142, 525, 912, 763, 5354, 540, 3345, 3013, 781, 13520, 2551, 5161, 540, 22072, 2666, 21224, 10987, 269, 1452, 10987, 267, 7429, 741, 554, 633, 1673, 16946, 30980, 267, 4020, 741, 1378, 2156, 617, 2281, 267, 5531, 14947, 543, 22060, 267, 543, 6318, 741, 15556, 10446, 269, 901, 22072, 6197, 814, 4847, 873, 547, 30598, 32069, 609, 519, 5065, 18508, 267, 7700, 547, 519, 3638, 4763, 540, 10987, 538, 3345, 3013, 563, 763, 27392, 13207, 710, 25491, 912, 1103, 2487, 1296, 267, 5065, 13520, 5095, 723, 1044, 546, 13388, 1782, 2066, 519, 11782, 267, 9870, 4145, 1851, 3173, 543, 2825, 1235, 7567, 269, 634, 27521, 338, 3297, 741, 23229, 723, 8810, 21792, 269, 2290, 1761, 14353, 602, 9575, 3744, 262, 3007, 729, 9033, 15969, 267, 799, 616, 4122, 1031, 538, 6683, 547, 8396, 16507, 3676, 538, 7031, 563, 293, 2426, 15969, 543, 27392, 2657, 912, 22873, 6053, 267, 621, 729, 7138, 1782, 547, 3095, 9033, 15969, 547, 13520, 1072, 267, 607, 891, 6464, 1185, 1044, 16363, 2922, 585, 2937, 10987, 269, 1717, 267, 513, 1895, 540, 3173, 3459, 547, 8495, 2436, 9033, 15969, 4299, 10987, 18549, 676, 27200, 519, 10347, 3666, 540, 519, 2156, 617, 1591, 5117, 563, 11900, 728, 519, 7935, 617, 8426, 23270, 912, 11900, 728, 519, 20177, 2156, 617, 2281, 267, 1141, 13520, 16793, 1020, 267, 513, 4241, 543, 1950, 5117, 6818, 269, 5843, 15816, 267, 1519, 4551, 543, 13271, 267, 616, 5189, 676, 3993, 10987, 7258, 14947, 543, 22060, 269, 1452, 17973, 1404, 606, 7533, 1909, 538, 519, 1646, 540, 13520, 16793, 267, 855, 741, 4644, 729, 1152, 5063, 20114, 563, 763, 10020, 540, 5843, 15816, 912, 300, 15412, 525, 4196, 607, 811, 982, 1175, 513, 1426, 2707, 1369, 519, 2156, 617, 1591, 269, 1358, 948, 7558, 9157, 14947, 9274, 543, 949, 9243, 1125, 2030, 17872, 6464, 1459, 538, 519, 14947, 543, 22060, 269, 3816, 8221, 891, 2629, 17973, 666, 1291, 547, 14042, 4539, 585, 3384, 13520, 16793, 563, 763, 26726, 32386, 540, 27392, 30038, 15611, 912, 2304, 26087, 525, 540, 13520, 16793, 7000, 602, 789, 616, 711, 7453, 24549, 2803, 607, 5892, 5156, 269, 5502, 267, 789, 616, 9631, 16622, 5387, 267, 10438, 513, 8101, 6712, 540, 15451, 834, 1889, 520, 257, 1459, 538, 519, 2156, 617, 1591, 269, 901, 6602, 2591, 938, 1620, 540, 13520, 6484, 543, 11363, 519, 2956, 540, 15451, 2950, 1369, 519, 2156, 617, 1591, 563, 293, 2426, 15969, 262, 8177, 593, 5843, 15816, 912, 293, 2426, 15969, 267, 1419, 1031, 538, 6683, 267, 941, 1336, 547, 581, 513, 3463, 547, 10987, 18549, 269, 2755, 789, 949, 711, 2800, 2937, 10987, 267, 9033, 15969, 7519, 519, 15451, 2950, 1369, 2156, 617, 2281, 267, 6028, 16793, 5182, 1324, 543, 14432, 563, 307, 578, 731, 12655, 10298, 912, 763, 3070, 547, 7863, 5065, 10987, 1247, 17420, 938, 1426, 3761, 3085, 1405, 9114, 538, 10205, 532, 9033, 15969, 15587, 269, 5502, 267, 3173, 15974, 1210, 1447, 5739, 9033, 15969, 543, 14577, 3498, 2409, 547, 7413, 2800, 547, 13520, 5095, 563, 763, 6456, 1158, 540, 10987, 543, 741, 1623, 25027, 2078, 609, 17973, 3091, 513, 4241, 5813, 883, 519, 1950, 1357, 540, 1272, 602, 2771, 1622, 938, 4541, 269, 20876, 519, 2565, 1909, 540, 17973, 538, 13520, 1072, 949, 3180, 519, 1883, 547, 8497, 891, 4105, 25199, 543, 519, 3309, 8134, 789, 1489, 269, 1306, 649, 3136, 547, 2263, 543, 1174, 713, 6456, 15451, 1158, 267, 649, 1590, 960, 2509, 4264, 6694, 2853, 602, 2149, 1312, 938, 7031, 543, 519, 17170, 10987, 602, 2844, 873, 269, 0, 307, 580, 21969, 3429, 1325, 26891, 593, 13334, 281, 589, 18043, 6651, 454, 307, 580, 13841, 11956, 568, 606, 1898, 5578, 585, 1082, 7143, 10249, 269, 898, 3340, 513, 1114, 4480, 982, 824, 2010, 540, 13841, 267, 971, 607, 631, 5456, 13841, 543, 6529, 13841, 269, 18641, 267, 519, 4950, 568, 2407, 540, 2200, 547, 948, 1346, 945, 616, 1175, 4358, 856, 269, 13334, 568, 606, 2523, 3407, 2707, 540, 1344, 585, 1346, 945, 1616, 547, 1451, 512, 580, 13841, 11956, 563, 1432, 1772, 570, 580, 21969, 3429, 888, 307, 580, 13841, 267, 610, 512, 32500, 16931, 3154, 13841, 267, 568, 513, 13841, 1184, 602, 3096, 513, 512, 32500, 19650, 547, 3132, 606, 9095, 1063, 519, 4496, 543, 519, 19650, 269, 634, 19650, 568, 1287, 1031, 547, 3002, 519, 4496, 267, 799, 5283, 1206, 543, 535, 4926, 1927, 547, 1711, 513, 28891, 269, 901, 1184, 568, 1419, 1031, 547, 28891, 11956, 267, 607, 621, 568, 4443, 547, 1852, 519, 3002, 543, 519, 28891, 568, 3622, 811, 5730, 543, 2178, 563, 3963, 6258, 570, 580, 21969, 3429, 1325, 26891, 593, 13334, 888, 2791, 12564, 568, 606, 5140, 4199, 585, 1346, 945, 1616, 547, 1451, 512, 580, 13841, 11956, 269, 27678, 666, 581, 14478, 693, 1022, 942, 543, 17328, 4310, 610, 17370, 895, 585, 2417, 7778, 269, 3509, 4810, 7143, 10249, 849, 2022, 18862, 267, 799, 666, 581, 17170, 585, 1346, 945, 991, 948, 1620, 519, 1184, 563, 1692, 547, 4855, 570, 580, 21969, 3429, 1325, 26891, 20861, 338, 593, 13334, 454, 23804, 512, 580, 13841, 11956, 18862, 593, 13334, 568, 5266, 2653, 269, 15439, 3406, 585, 968, 339, 580, 13841, 11956, 892, 543, 596, 786, 581, 4843, 609, 513, 3099, 540, 7044, 602, 3382, 519, 1888, 269, 1411, 666, 849, 7522, 707, 3406, 676, 19003, 519, 7044, 676, 1893, 543, 10083, 563, 1432, 547, 6733, 585, 538, 513, 570, 580, 21969, 3429, 1325, 26891, 20861, 454, 2691, 3168, 585, 513, 512, 580, 13841, 11956, 5850, 593, 13334, 267, 621, 779, 1271, 547, 1413, 585, 7044, 602, 616, 3102, 543, 2653, 547, 1246, 269, 27678, 1058, 2491, 519, 3003, 1184, 689, 1376, 547, 9096, 267, 1519, 3106, 15416, 267, 4259, 909, 519, 3937, 267, 543, 13841, 2553, 269, 898, 779, 849, 513, 1434, 2856, 547, 1413, 585, 7044, 602, 723, 2312, 8301, 543, 23877, 267, 607, 713, 786, 1118, 621, 4443, 547, 1246, 2059, 563, 21093, 29035, 609, 570, 580, 21969, 3429, 1325, 26891, 454, 5629, 596, 4076, 1336, 513, 1906, 512, 580, 13841, 18862, 593, 13334, 267, 621, 779, 942, 547, 1205, 3323, 269, 6969, 596, 2253, 13841, 267, 1118, 2386, 602, 596, 723, 782, 519, 2556, 3106, 3937, 543, 602, 596, 1174, 519, 9238, 540, 519, 1184, 269, 4495, 596, 1745, 6899, 609, 519, 3106, 15416, 267, 596, 666, 2253, 13841, 563, 13349, 27190, 1389, 547, 3680, 1879, 570, 580, 21969, 3429, 1325, 26891, 454, 2691, 512, 580, 13841, 11956, 267, 972, 616, 513, 1906, 1455, 9073, 602, 14987, 1419, 1118, 269, 634, 1034, 1455, 12161, 568, 711, 5265, 4259, 909, 519, 3937, 269, 898, 779, 1271, 547, 2327, 602, 519, 23290, 543, 19650, 616, 1305, 693, 519, 1697, 7285, 543, 602, 519, 6453, 568, 1305, 7157, 269, 898, 779, 849, 1271, 547, 581, 3222, 540, 519, 4496, 779, 2837, 543, 519, 3432, 693, 799, 596, 616, 13841, 563, 307, 580, 13841, 11956, 568, 606, 1898, 5578, 585, 1082, 7143, 10249, 269, 18641, 267, 972, 616, 513, 3099, 540, 512, 580, 13841, 11956, 18862, 593, 13334, 602, 666, 948, 14987, 1205, 3323, 269, 1879, 3168, 585, 513, 5850, 267, 581, 2386, 547, 1413, 585, 7044, 602, 616, 3102, 543, 2653, 547, 1246, 269, 2060, 519, 1318, 5850, 267, 596, 3580, 581, 2111, 547, 1451, 512, 580, 13841, 11956, 3533, 543, 3362, 269, 0, 763, 7735, 3085, 1406, 1205, 14593, 282, 519, 11573, 3085, 1406, 1205, 15504, 282, 519, 17200, 3085, 1406, 10880, 267, 543, 519, 1966, 1281, 711, 1205, 15044, 2394, 2576, 267, 12341, 267, 6487, 547, 957, 563, 1103, 513, 1158, 1141, 3432, 568, 4622, 267, 6571, 2053, 616, 6027, 538, 3764, 267, 711, 3108, 267, 543, 1169, 1101, 12705, 666, 1689, 606, 6364, 267, 519, 17726, 5508, 674, 1460, 568, 14063, 269, 18564, 267, 621, 568, 711, 2048, 11854, 539, 9215, 674, 1460, 855, 17726, 5508, 674, 1460, 269, 4208, 1281, 513, 840, 6570, 1118, 971, 513, 3017, 888, 763, 3432, 9215, 4368, 1945, 568, 1175, 602, 1107, 875, 1279, 1281, 621, 1491, 596, 547, 7816, 1945, 689, 519, 942, 596, 917, 621, 2115, 21338, 286, 3245, 544, 25891, 909, 29908, 267, 13868, 513, 1769, 12712, 321, 267, 543, 1210, 513, 24095, 15777, 593, 513, 12962, 267, 519, 3432, 547, 21338, 1945, 568, 538, 519, 4074, 543, 2238, 621, 3217, 547, 1118, 621, 4755, 563, 763, 17726, 5508, 674, 1460, 568, 1945, 2484, 811, 1271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8923, 4283, 519, 2450, 540, 519, 1592, 281, 27363, 331, 560, 17342, 2639, 328, 284, 271, 454, 1721, 1775, 538, 2039, 263, 271, 19885, 2187, 825, 1820, 2891, 8923, 4283, 519, 2609, 24333, 328, 266, 272, 994, 825, 3693, 25507, 9272, 15405, 825, 32102, 6910, 16216, 2211, 994, 825, 1775, 23785, 272, 454, 2745, 2891, 763, 1592, 596, 9411, 568, 2580, 331, 560, 994, 322, 3300, 284, 331, 560, 29644, 10857, 560, 314, 271, 7481, 21720, 284, 331, 560, 314, 271, 2639, 1721, 1775, 538, 2039, 3799, 2187, 825, 952, 32102, 29644, 10857, 560, 5157, 8079, 285, 322, 3300, 912, 1038, 1455, 284, 331, 560, 5157, 2639, 1038, 4831, 284, 331, 560, 29644, 10857, 560, 5157, 7481, 2745, 2891, 763, 1034, 1455, 3693, 568, 2580, 21720, 264, 1038, 692, 7531, 13872, 825, 22562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1422, 2765, 346, 336, 18750, 20972, 335, 3287, 267, 345, 24689, 9064, 14587, 1422, 754, 9387, 265, 8679, 1892, 634, 15444, 5690, 24024, 713, 30264, 676, 12055, 908, 630, 28375, 4831, 281, 1269, 328, 259, 264, 936, 454, 17961, 346, 3225, 566, 15857, 1422, 7901, 539, 346, 1422, 8218, 25410, 348, 1422, 24837, 346, 299, 8703, 263, 328, 14587, 7268, 9064, 264, 17851, 1422, 8999, 318, 345, 1422, 1478, 3630, 576, 22669, 18750, 347, 343, 12101, 9064, 3867, 263, 328, 268, 272, 14587, 264, 8703, 336, 3867, 263, 328, 264, 12917, 345, 14587, 1422, 8421, 533, 3287, 267, 345, 24689, 9064, 3867, 263, 328, 268, 272, 14587, 264, 1422, 15153, 30974, 315, 3667, 346, 1492, 661, 9912, 348, 8607, 1422, 9064, 3867, 263, 328, 14587, 17851, 1422, 1173, 315, 10946, 29192, 9064, 1422, 24837, 346, 299, 8703, 263, 328, 14587, 7268, 9064, 264, 30974, 315, 3667, 346, 1492, 631, 9912, 348, 1422, 754, 25410, 3686, 1422, 754, 346, 3225, 566, 265, 8679, 1892, 1452, 5079, 616, 6099, 585, 519, 2016, 30264, 6198, 269, 769, 1931, 547, 1294, 713, 267, 2015, 519, 1079, 10920, 21752, 1422, 8218, 9387, 348, 674, 314, 336, 12101, 9064, 316, 17851, 1422, 8974, 3630, 576, 346, 10559, 8999, 318, 345, 7117, 18750, 264, 1422, 8421, 533, 3287, 267, 345, 24689, 9064, 14587, 18155, 3667, 346, 24479, 3686, 910, 1422, 8974, 3630, 576, 3189, 8999, 318, 345, 7117, 18750, 264, 1422, 8421, 1422, 2765, 346, 272, 2410, 336, 18750, 264, 3686, 18155, 3667, 346, 550, 16552, 3686, 1422, 32002, 346, 7417, 27874, 17851, 1422, 8974, 3630, 576, 3189, 8999, 318, 345, 7117, 18750, 264, 1422, 8421, 1422, 2765, 346, 336, 18750, 20972, 335, 18750, 347, 343, 12101, 9064, 264, 3686, 18155, 3667, 18097, 1853, 10885, 3686, 910, 1422, 8974, 3630, 576, 3189, 8421, 533, 3287, 24689, 9064, 14587, 18155, 3667, 346, 8421, 2000, 1731, 9685, 3686, 1422, 32002, 346, 14701, 348, 1422, 754, 9387, 8679, 1892, 634, 16692, 17883, 2982, 602, 519, 30264, 568, 31965, 585, 519, 3903, 1269, 336, 18750, 264, 28701, 533, 18750, 347, 343, 12101, 9064, 30879, 4746, 267, 585, 713, 3903, 267, 519, 30264, 11224, 519, 630, 17463, 264, 2845, 17272, 2064, 630, 267, 799, 568, 713, 2013, 29776, 547, 519, 2845, 2000, 1731, 9685, 1916, 1892, 634, 661, 292, 17883, 2982, 602, 519, 30264, 568, 31965, 530, 4135, 4399, 9064, 259, 676, 10893, 519, 1648, 2165, 269, 634, 1648, 2165, 568, 17223, 538, 519, 661, 9912, 543, 20979, 538, 519, 631, 9912, 563, 1892, 8074, 602, 538, 519, 15444, 3332, 267, 519, 1648, 2165, 568, 1419, 1572, 519, 4397, 2347, 1673, 1092, 2845, 2000, 1731, 9685, 8094, 1892, 769, 1931, 547, 14892, 519, 15444, 5690, 267, 621, 568, 10924, 602, 649, 666, 2555, 21154, 14892, 519, 661, 268, 543, 631, 9912, 338, 269, 1280, 513, 1804, 1305, 540, 3631, 630, 10175, 3631, 4171, 14778, 4866, 547, 519, 12825, 1920, 540, 14778, 1070, 713, 568, 8197, 519, 2013, 543, 8754, 519, 1804, 8560, 540, 519, 15444, 5690, 563, 1892, 634, 15444, 3473, 528, 8811, 332, 791, 4680, 2864, 4049, 10054, 593, 519, 30264, 630, 21353, 1227, 4114, 26305, 28662, 23221, 676, 5021, 10171, 16759, 1040, 3683, 519, 2250, 1906, 1296, 267, 519, 4473, 540, 11525, 8494, 2065, 14691, 4654, 814, 13497, 2799, 519, 2039, 540, 3631, 585, 799, 519, 6724, 666, 676, 6059, 1313, 3901, 1227, 676, 630, 13627, 1493, 264, 28662, 23221, 267, 865, 519, 8560, 540, 15444, 568, 7444, 530, 22135, 269, 630, 5415, 593, 713, 538, 519, 11525, 8494, 2065, 14691, 4245, 1916, 1892, 21674, 630, 1220, 277, 264, 1568, 856, 15444, 585, 519, 10648, 300, 538, 3296, 476, 280, 269, 273, 780, 4596, 14701, 12327, 21283, 4041, 281, 15444, 268, 14607, 3596, 332, 585, 519, 10648, 300, 593, 519, 6196, 6363, 28216, 995, 1239, 1305, 382, 370, 692, 2171, 3513, 1685, 24159, 593, 519, 1239, 1305, 689, 519, 3879, 13577, 1383, 676, 17501, 513, 10648, 300, 9967, 540, 1079, 12821, 1380, 2103, 1210, 519, 15444, 5690, 780, 1103, 1109, 314, 1691, 14158, 6748, 623, 11899, 282, 623, 11899, 269, 716, 10675, 2891, 22238, 2889, 326, 270, 4103, 10628, 257, 5148, 303, 11899, 269, 13318, 656, 5573, 10797, 6748, 4578, 293, 29707, 267, 11483, 309, 267, 12430, 31580, 454, 514, 2850, 2891, 27771, 338, 17320, 7825, 318, 7120, 12459, 331, 8442, 1948, 4591, 1091, 28321, 1599, 692, 311, 815, 476, 26275, 263, 30467, 346, 293, 5979, 520, 5038, 12917, 1245, 6958, 28216, 995, 264, 5073, 301, 815, 2450, 11583, 267, 476, 273, 2020, 258, 19461, 1125, 519, 10648, 300, 269, 1284, 8263, 476, 273, 13421, 563, 743, 31255, 815, 1496, 300, 341, 31863, 8443, 275, 5919, 2568, 269, 3910, 1496, 269, 276, 476, 271, 282, 271, 476, 1015, 317, 273, 8079, 3248, 300, 341, 31863, 8443, 273, 5919, 3199, 269, 3910, 1496, 269, 276, 476, 271, 282, 271, 476, 1015, 317, 273, 8079, 30092, 11027, 318, 1002, 815, 1496, 271, 269, 276, 282, 476, 271, 269, 276, 316, 7386, 1948, 17186, 532, 12035, 454, 24556, 815, 6445, 256, 263, 30467, 346, 293, 5979, 520, 5038, 12917, 1495, 1030, 267, 273, 267, 301, 1070, 10878, 301, 264, 476, 1948, 13786, 4850, 630, 992, 829, 12440, 2020, 258, 16294, 3252, 585, 21130, 519, 6724, 543, 9021, 454, 10818, 9337, 25215, 976, 4850, 256, 263, 311, 267, 13421, 267, 12631, 318, 1002, 267, 29339, 994, 258, 21673, 566, 1900, 281, 9337, 29339, 454, 17884, 815, 1496, 23486, 263, 743, 31255, 314, 272, 3910, 2473, 264, 7824, 263, 743, 31255, 314, 273, 3910, 2473, 13580, 2608, 12631, 318, 1002, 454, 24556, 314, 272, 267, 281, 316, 815, 630, 11027, 318, 1002, 314, 272, 316, 2608, 7824, 263, 743, 31255, 314, 272, 3910, 311, 264, 1547, 270, 2343, 264, 7055, 24556, 314, 273, 267, 281, 316, 815, 476, 272, 1547, 268, 29339, 314, 272, 267, 281, 2639, 754, 454, 10818, 9337, 13640, 600, 4394, 256, 263, 311, 267, 13421, 267, 12631, 318, 1002, 267, 29339, 994, 258, 7665, 574, 1436, 1900, 281, 9337, 12631, 318, 1002, 543, 13421, 1210, 16066, 16759, 454, 332, 815, 2040, 263, 24556, 267, 3897, 338, 284, 273, 994, 11027, 318, 1002, 815, 544, 1315, 715, 454, 19031, 318, 1002, 815, 630, 311, 2608, 29339, 10807, 1547, 270, 544, 7055, 1721, 737, 284, 272, 281, 273, 454, 313, 815, 630, 311, 1547, 268, 13179, 318, 1002, 18020, 330, 7481, 394, 352, 17624, 815, 6641, 13240, 9230, 263, 313, 1547, 265, 630, 24556, 25208, 267, 281, 8079, 10807, 2608, 2098, 10807, 1315, 544, 25208, 7481, 743, 31255, 25208, 316, 815, 631, 341, 31863, 263, 19031, 318, 1002, 18020, 330, 3910, 6460, 263, 30467, 267, 3852, 352, 17624, 4917, 754, 454, 754, 692, 258, 13079, 1393, 519, 5690, 281, 12055, 8271, 9337, 6724, 543, 9021, 454, 11357, 7120, 263, 273, 267, 274, 267, 272, 5148, 4729, 294, 12613, 11583, 267, 13421, 267, 29339, 5148, 2140, 2891, 22873, 658, 3510, 5602, 26303, 25215, 976, 4850, 256, 263, 311, 267, 13421, 267, 12631, 318, 1002, 267, 29339, 994, 11357, 7120, 263, 273, 267, 274, 267, 273, 5148, 4729, 294, 12613, 11583, 267, 13421, 267, 29339, 5148, 2140, 2891, 5475, 1101, 661, 9912, 5602, 26303, 13640, 600, 4394, 256, 263, 311, 267, 13421, 267, 12631, 318, 1002, 267, 29339, 994, 11357, 7120, 263, 273, 267, 274, 267, 274, 5148, 4729, 294, 12613, 11583, 267, 13421, 267, 29339, 5148, 2140, 2891, 5475, 1101, 631, 9912, 5602, 3438, 6831, 3300, 815, 476, 272, 454, 1721, 1775, 284, 272, 281, 274, 454, 1721, 795, 284, 272, 281, 328, 266, 272, 454, 26303, 25215, 976, 4850, 256, 263, 311, 267, 13421, 267, 12631, 318, 1002, 267, 29339, 994, 26303, 13640, 600, 4394, 256, 263, 311, 267, 13421, 267, 12631, 318, 1002, 267, 29339, 994, 3438, 6831, 3300, 6834, 476, 272, 454, 754, 454, 11357, 7120, 263, 273, 267, 274, 267, 274, 266, 328, 11850, 7120, 294, 12613, 11583, 267, 13421, 267, 29339, 11850, 27583, 2891, 5475, 18159, 3438, 6831, 3300, 264, 23200, 8442, 1439, 12877, 5522, 582, 6745, 697, 9078, 599, 719, 3890, 476, 2920, 22899, 1604, 693, 9625, 270, 291, 665, 3701, 11486, 5362, 18350, 22812, 1842, 20324, 7876, 7709, 270, 1652, 976, 14672, 1774, 9248, 270, 22238, 2889, 326, 270, 4103, 10628, 270, 19061, 6745, 558, 331, 476, 8074, 602, 596, 666, 1900, 998, 519, 7317, 1629, 334, 3054, 676, 4881, 713, 7097, 538, 15567, 807, 269, 1411, 666, 2196, 513, 7097, 538, 15567, 807, 676, 15567, 807, 285, 1331, 2891, 12949, 270, 1729, 270, 27771, 268, 4067, 12459, 331, 8442, 12834, 382, 370, 3040, 4678, 550, 4756, 3631, 630, 299, 30470, 264, 2270, 513, 1305, 540, 796, 10849, 5703, 4632, 4171, 2450, 9428, 609, 519, 1297, 540, 7422, 269, 3040, 700, 309, 16039, 666, 2203, 811, 1950, 9259, 982, 4628, 4767, 3631, 267, 855, 23221, 538, 700, 30470, 3631, 568, 2356, 711, 2555, 21154, 1151, 15344, 269, 3040, 634, 5131, 6052, 630, 25539, 264, 6198, 21810, 28662, 23221, 26398, 630, 854, 1804, 14805, 725, 610, 29398, 264, 547, 606, 11938, 1966, 269, 3040, 5606, 2397, 676, 10893, 30264, 267, 849, 1634, 607, 1083, 1049, 23221, 267, 568, 4628, 5812, 609, 519, 834, 19686, 540, 26228, 28731, 9980, 16552, 2580, 799, 568, 676, 1374, 519, 7787, 1259, 547, 9337, 4978, 689, 17028, 832, 547, 16968, 12542, 950, 1007, 1344, 3587, 2139, 269, 4935, 267, 30264, 13147, 574, 1436, 568, 513, 834, 322, 8091, 257, 23221, 5650, 602, 2489, 3278, 7345, 525, 4341, 269, 3040, 769, 2489, 267, 2518, 30264, 6922, 1436, 568, 606, 5667, 9407, 1966, 543, 4466, 1434, 2199, 6922, 320, 568, 693, 519, 2295, 540, 1699, 28662, 2029, 1382, 269, 8422, 28976, 10148, 593, 519, 17911, 259, 336, 18750, 7751, 514, 519, 30264, 6198, 616, 4867, 2442, 538, 4052, 5468, 281, 3040, 1611, 1922, 1752, 10054, 3040, 14322, 513, 9936, 1242, 7300, 585, 259, 336, 315, 14204, 1892, 15444, 5690, 454, 1892, 1452, 10148, 1419, 2306, 30264, 6922, 1436, 2936, 762, 693, 519, 3902, 540, 13844, 5111, 28662, 23221, 2164, 563, 1103, 1109, 314, 277, 14158, 13449, 2891, 907, 270, 907, 270, 560, 5138, 21669, 760, 5882, 11258, 8442, 798, 535, 0, 258, 16534, 519, 2489, 12945, 676, 28809, 692, 5475, 1565, 9315, 8457, 781, 3070, 540, 519, 12945, 267, 594, 4956, 547, 1413, 693, 12113, 337, 926, 781, 3070, 540, 519, 14415, 545, 630, 18485, 4930, 593, 9504, 1040, 2311, 519, 1439, 540, 519, 2376, 593, 519, 14415, 545, 1599, 729, 606, 606, 14595, 1505, 547, 4194, 519, 12945, 676, 28809, 883, 1079, 13392, 2474, 910, 1945, 899, 28809, 519, 1395, 545, 14415, 545, 3230, 343, 317, 275, 266, 1314, 317, 274, 17070, 343, 317, 273, 25239, 343, 266, 323, 284, 271, 2330, 883, 30967, 343, 317, 273, 266, 29210, 266, 336, 7565, 343, 317, 273, 266, 337, 343, 266, 338, 1040, 2330, 1358, 1031, 8304, 320, 781, 4542, 630, 322, 8091, 803, 952, 594, 993, 4636, 264, 538, 1931, 547, 10536, 519, 834, 637, 565, 1203, 257, 12945, 630, 296, 8263, 602, 568, 513, 12945, 2838, 547, 581, 12193, 585, 15821, 3435, 540, 519, 14415, 545, 264, 910, 1018, 789, 9247, 1705, 729, 9450, 519, 1079, 13392, 2188, 267, 543, 1305, 873, 3160, 547, 741, 7222, 14170, 780, 296, 6836, 547, 798, 713, 609, 519, 1395, 545, 12945, 267, 1101, 12394, 547, 946, 1614, 5276, 2188, 267, 1287, 12394, 547, 946, 835, 5276, 543, 835, 13392, 3815, 269, 12989, 594, 723, 5258, 676, 513, 585, 519, 1101, 3830, 543, 9450, 519, 2034, 3830, 267, 4259, 14170, 3160, 780, 2330, 1314, 317, 274, 17070, 343, 317, 273, 25239, 343, 266, 323, 284, 271, 2330, 30967, 343, 266, 335, 7565, 343, 317, 273, 266, 336, 343, 266, 337, 9385, 282, 315, 14075, 21375, 31046, 533, 266, 336, 284, 271, 267, 31046, 678, 266, 335, 336, 7807, 2765, 26231, 2410, 320, 9574, 31046, 929, 7807, 2765, 18097, 2410, 320, 6525, 8074, 602, 1269, 335, 266, 336, 284, 271, 259, 950, 1269, 321, 284, 271, 8961, 799, 666, 581, 519, 2013, 540, 782, 7750, 923, 1310, 3498, 540, 519, 17578, 577, 597, 333, 27346, 7004, 780, 4913, 267, 594, 1336, 602, 594, 1223, 711, 4194, 713, 1062, 910, 1152, 4062, 621, 1394, 1927, 883, 513, 12945, 269, 1403, 972, 568, 513, 3070, 267, 875, 1281, 835, 4019, 621, 2496, 8894, 2791, 723, 547, 4194, 513, 12945, 547, 798, 621, 269, 769, 824, 1913, 267, 621, 786, 711, 2285, 596, 513, 834, 5371, 518, 257, 1259, 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 ]
[ 2534, 267, 3056, 547, 2417, 12159, 540, 519, 2949, 1062, 1072, 780, 4089, 476, 273, 281, 10289, 10298, 281, 634, 10020, 540, 11628, 674, 2830, 1674, 7010, 692, 28723, 19288, 1949, 1404, 513, 11358, 1909, 538, 19086, 3282, 5533, 543, 4509, 6099, 1216, 2298, 538, 1216, 10651, 269, 14992, 971, 607, 31207, 670, 304, 20647, 538, 3246, 1164, 7779, 19288, 3435, 3358, 547, 2232, 1808, 2591, 2404, 609, 3282, 5533, 780, 273, 269, 272, 20031, 1756, 4858, 2738, 281, 14271, 4403, 1299, 3647, 27833, 692, 26239, 4403, 543, 3647, 27833, 616, 1079, 18019, 12478, 5645, 676, 31207, 670, 304, 1634, 585, 741, 7029, 547, 17284, 543, 5647, 269, 1452, 8241, 13402, 2472, 10929, 11826, 4152, 10873, 4180, 1283, 2389, 1512, 2773, 1256, 950, 6534, 547, 10792, 16374, 543, 4101, 2175, 4122, 11402, 1369, 1715, 10215, 781, 3309, 4525, 780, 273, 269, 273, 11588, 540, 4635, 16522, 4854, 744, 2812, 692, 306, 24678, 11041, 2709, 1896, 5383, 3379, 547, 6671, 7777, 11041, 269, 1358, 8858, 9120, 4187, 547, 8143, 15059, 267, 19842, 2566, 267, 543, 19852, 4229, 267, 7551, 14178, 3028, 11996, 543, 4227, 3653, 5108, 269, 3958, 267, 10991, 11041, 1683, 8476, 4452, 21307, 11538, 4390, 267, 5355, 3937, 10727, 543, 15006, 780, 273, 269, 274, 11426, 2349, 2056, 585, 10871, 17148, 692, 288, 14094, 22057, 10391, 30422, 1305, 6306, 14271, 4403, 700, 17128, 1218, 689, 15712, 269, 1635, 6236, 6237, 2188, 899, 2916, 3270, 267, 3037, 2010, 267, 543, 1455, 10664, 2249, 267, 891, 2688, 24025, 2327, 5021, 17356, 543, 7145, 2066, 1114, 3156, 269, 1280, 3236, 267, 14271, 4403, 18252, 6828, 476, 273, 10281, 10635, 571, 22486, 610, 2362, 17263, 20424, 3490, 13632, 799, 3565, 547, 4824, 4411, 2095, 3601, 1898, 585, 6325, 5162, 5106, 780, 4089, 476, 274, 281, 28981, 7232, 323, 613, 13281, 6396, 3098, 692, 2414, 19472, 741, 6811, 3823, 6905, 8963, 7207, 267, 14271, 4403, 700, 17128, 1218, 2308, 14262, 15020, 7043, 667, 1778, 630, 309, 17162, 264, 2599, 3282, 4255, 269, 6270, 22608, 20241, 13182, 1587, 7347, 1145, 543, 16608, 267, 1128, 3739, 6015, 1851, 3755, 827, 741, 2702, 547, 5838, 26080, 4027, 2429, 12675, 6165, 5712, 780, 274, 269, 272, 6764, 4809, 7736, 4269, 7167, 3809, 692, 15152, 4707, 8062, 8151, 689, 476, 13670, 267, 1822, 5998, 585, 9817, 909, 547, 476, 8517, 267, 1822, 5998, 585, 5230, 1673, 14280, 18993, 3827, 543, 3803, 11479, 267, 14271, 4403, 700, 17128, 1218, 6542, 11108, 6043, 1996, 5957, 267, 12074, 267, 14809, 267, 543, 824, 17672, 3157, 7133, 1312, 15195, 543, 7286, 5054, 780, 6962, 281, 16871, 12655, 13756, 998, 30404, 16370, 692, 18204, 7992, 4359, 1216, 19288, 1949, 9280, 609, 5969, 12967, 10991, 11041, 4564, 513, 14942, 4640, 2509, 8497, 1216, 4677, 8699, 9624, 32117, 27643, 12503, 269, 3414, 10319, 3646, 1063, 2872, 3401, 267, 7855, 267, 543, 12439, 267, 4264, 2853, 10704, 1472, 5499, 4066, 666, 16102, 19644, 1216, 2200, 585, 2104, 5481, 1247, 5009, 8733, 10103, 543, 12716, 10508, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23742, 614, 670, 304, 3180, 519, 4102, 6006, 540, 3282, 538, 3345, 1633, 269, 3776, 3972, 17709, 12478, 616, 14271, 4403, 543, 3647, 27833, 563, 2171, 666, 1865, 707, 19149, 656, 4170, 543, 1118, 16252, 585, 707, 18239, 602, 786, 538, 1082, 2665, 3648, 2569, 707, 5826, 3790, 563, 1103, 476, 1001, 275, 31207, 670, 304, 2968, 519, 12600, 2733, 12460, 540, 8241, 14271, 4403, 700, 17128, 1218, 269, 14271, 4403, 700, 17128, 1218, 616, 513, 1920, 11262, 2754, 3964, 538, 476, 1220, 272, 543, 609, 513, 834, 321, 21392, 982, 744, 4932, 257, 1935, 941, 513, 3501, 3514, 547, 938, 14167, 14769, 563, 302, 2812, 616, 20762, 4481, 585, 3851, 22057, 2175, 543, 616, 2966, 547, 6175, 1942, 540, 9562, 1247, 2810, 15325, 1134, 3564, 519, 20772, 540, 519, 2241, 744, 4932, 13170, 269, 744, 2812, 616, 20762, 538, 741, 1378, 8241, 6703, 7175, 2347, 1852, 936, 519, 2298, 543, 11100, 1184, 543, 1152, 946, 6828, 476, 273, 10281, 10635, 571, 22486, 610, 1732, 20424, 3490, 13632, 563, 4415, 513, 1158, 1101, 966, 17162, 630, 25802, 7043, 667, 1778, 264, 2599, 3282, 4152, 607, 1007, 547, 476, 13670, 267, 1822, 14790, 547, 519, 476, 8517, 267, 1822, 14790, 10591, 11041, 910, 14271, 4403, 700, 17128, 1218, 616, 519, 1152, 522, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12850, 674, 2830, 1674, 7010, 257, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 4826, 25052, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 4241, 1158, 540, 2618, 17871, 8878, 6127, 543, 7553, 25700, 3797, 267, 5373, 593, 1312, 8106, 22506, 1014, 25164, 4519, 543, 4207, 7835, 538, 519, 2361, 269, 1284, 786, 2253, 676, 3695, 519, 1523, 540, 26126, 543, 875, 621, 5713, 607, 513, 5748, 585, 1620, 938, 4664, 267, 4555, 267, 543, 5615, 269, 2271, 4592, 18936, 3322, 7432, 938, 4656, 27808, 267, 6313, 938, 6418, 2833, 267, 543, 20678, 547, 1174, 873, 538, 513, 4514, 1259, 269, 1635, 14237, 22161, 8826, 1983, 267, 649, 666, 2744, 3407, 4030, 883, 938, 1378, 5626, 17539, 267, 3850, 721, 547, 1732, 10038, 938, 4664, 543, 6330, 14375, 3347, 780, 9202, 267, 649, 2490, 938, 3007, 547, 519, 1909, 540, 2618, 17871, 8878, 6127, 538, 5935, 938, 2790, 2729, 269, 16470, 6127, 616, 13128, 3157, 602, 948, 2149, 721, 689, 4160, 267, 2566, 267, 543, 3929, 1928, 269, 1452, 6127, 7500, 693, 606, 17499, 1377, 267, 2495, 602, 649, 949, 711, 581, 4628, 3222, 540, 741, 3310, 593, 938, 2623, 269, 2368, 1455, 8878, 6127, 1331, 1065, 1833, 267, 24677, 267, 16879, 267, 12761, 267, 543, 5114, 5250, 269, 1280, 1383, 267, 952, 2576, 9846, 3785, 741, 1378, 2942, 7592, 5196, 1866, 267, 789, 949, 581, 2502, 538, 513, 1106, 540, 8878, 7271, 1634, 607, 16879, 269, 3414, 2799, 1582, 18221, 543, 5813, 267, 2705, 267, 649, 666, 1451, 547, 2697, 891, 3270, 543, 960, 2509, 811, 13261, 2081, 540, 12003, 609, 4101, 3871, 780, 2171, 1631, 6521, 938, 1445, 547, 3742, 6947, 267, 513, 2629, 5578, 538, 2679, 2178, 9354, 24816, 543, 5807, 26003, 545, 2792, 269, 15765, 6947, 3322, 18906, 1947, 25122, 538, 547, 1776, 1268, 781, 1913, 267, 1560, 1893, 267, 543, 3159, 540, 5639, 267, 1247, 8195, 4259, 11735, 10385, 531, 8456, 543, 26608, 18727, 2093, 269, 1879, 8026, 3742, 6947, 267, 16293, 11441, 547, 1711, 513, 2922, 543, 11215, 2230, 1141, 7218, 1745, 4862, 267, 6956, 267, 543, 12595, 269, 4469, 334, 908, 3007, 4564, 513, 1880, 1826, 540, 3742, 6947, 267, 6353, 676, 513, 1875, 9080, 8540, 531, 267, 1930, 16490, 10182, 2509, 8726, 14340, 538, 519, 1459, 4090, 269, 1635, 14237, 13735, 3007, 267, 16293, 666, 3986, 741, 4390, 585, 2620, 6947, 543, 30506, 780, 4263, 713, 1448, 267, 649, 2263, 1079, 540, 22506, 781, 1883, 6436, 540, 4160, 281, 1010, 1101, 3069, 543, 2034, 3069, 269, 4340, 547, 1010, 3355, 2272, 267, 4160, 2164, 689, 519, 19221, 540, 3768, 529, 12737, 539, 4638, 1648, 1813, 547, 6848, 10148, 543, 9184, 30139, 269, 13536, 267, 22506, 15428, 1010, 5784, 267, 11021, 3079, 602, 4160, 19674, 607, 513, 3210, 547, 9228, 6937, 610, 12178, 538, 519, 1604, 269, 17859, 540, 799, 5133, 649, 9772, 267, 621, 3788, 2312, 602, 4160, 4249, 513, 3844, 1909, 538, 1082, 3029, 540, 2618, 31752, 267, 1519, 943, 984, 5362, 267, 11784, 4713, 267, 543, 20902, 4160, 4524, 780, 3086, 1577, 721, 2015, 519, 8106, 2070, 540, 12270, 12499, 17595, 545, 8647, 883, 1896, 6688, 281, 5778, 3974, 267, 2618, 2670, 267, 8473, 1467, 7209, 3919, 267, 543, 829, 11437, 269, 11671, 6776, 2043, 3335, 1995, 2589, 971, 607, 7050, 5855, 267, 16203, 267, 543, 30717, 20286, 267, 1419, 31827, 689, 796, 637, 9407, 7526, 1369, 519, 17499, 2247, 269, 5369, 5328, 2043, 267, 593, 519, 824, 1688, 267, 8858, 4049, 23043, 538, 4641, 4152, 267, 3056, 547, 771, 23457, 3206, 267, 26390, 5209, 267, 543, 1642, 16272, 269, 27079, 1467, 7209, 3919, 9356, 513, 1533, 540, 16132, 543, 14784, 538, 1585, 3344, 540, 519, 1367, 781, 1272, 267, 6825, 676, 7928, 7099, 23638, 267, 3961, 18063, 267, 543, 7965, 4509, 7123, 3347, 269, 14936, 267, 829, 11437, 4016, 547, 10770, 3270, 540, 1821, 5050, 4638, 2623, 602, 29875, 6848, 8155, 543, 2014, 1713, 11605, 610, 15717, 780, 763, 10206, 540, 519, 3312, 16846, 5713, 607, 513, 22294, 540, 17499, 16007, 267, 12082, 538, 2038, 6689, 1646, 269, 634, 3312, 16846, 18575, 606, 17916, 12402, 547, 3343, 12257, 543, 2057, 1928, 267, 799, 28107, 3294, 998, 1585, 15629, 17915, 543, 5322, 269, 3683, 942, 267, 891, 16846, 525, 1831, 7471, 883, 2362, 5042, 3252, 267, 8108, 519, 4493, 585, 1950, 3929, 6114, 543, 14375, 4296, 269, 10021, 1438, 8878, 6127, 899, 24677, 267, 16879, 267, 1788, 633, 8446, 267, 543, 4744, 27937, 4196, 607, 3119, 1797, 540, 5883, 4835, 4655, 1282, 26638, 543, 2038, 6689, 269, 1306, 649, 1332, 4587, 267, 2705, 267, 891, 6127, 2285, 1259, 547, 811, 9921, 23640, 971, 607, 9644, 267, 7214, 1436, 267, 7787, 1436, 267, 543, 1016, 3916, 566, 780, 7661, 267, 649, 4983, 23913, 2519, 15129, 3797, 267, 606, 5499, 1935, 602, 10905, 2609, 540, 1480, 2065, 6530, 267, 16650, 6138, 267, 543, 8109, 5289, 5389, 269, 2311, 922, 4295, 6013, 519, 2856, 602, 7067, 4386, 950, 2043, 7148, 883, 741, 7915, 7326, 543, 4199, 6888, 267, 17034, 4514, 6106, 540, 9637, 3564, 6857, 1852, 269, 1849, 1801, 4497, 538, 513, 1184, 540, 5059, 26126, 267, 11461, 676, 519, 13309, 781, 9543, 12987, 543, 2055, 267, 6322, 693, 13031, 5892, 23257, 1819, 7516, 540, 741, 6418, 10600, 269, 10801, 713, 3460, 267, 8561, 568, 5116, 593, 14237, 17519, 1582, 14092, 1061, 766, 267, 8508, 10462, 267, 543, 3384, 3152, 6043, 538, 519, 3068, 540, 14488, 269, 10765, 1382, 7028, 519, 12117, 540, 23913, 2519, 15129, 3797, 585, 8156, 3309, 2039, 540, 17867, 2175, 267, 1519, 4965, 267, 4160, 267, 8194, 267, 543, 4189, 4713, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4504, 4592, 18936, 543, 2618, 17871, 20237, 6127, 786, 2611, 28706, 13279, 538, 1022, 18087, 17839, 15178, 1837, 267, 7258, 4719, 267, 23020, 13210, 630, 22366, 547, 29648, 617, 22399, 543, 30088, 264, 610, 1514, 5380, 269, 901, 1957, 6663, 547, 2491, 1312, 8106, 22506, 1014, 25164, 4519, 543, 922, 5817, 2035, 267, 607, 1134, 607, 2413, 18536, 8865, 618, 6438, 2022, 12885, 593, 519, 3741, 540, 25164, 24608, 21911, 269, 15765, 6947, 267, 13735, 3007, 267, 22506, 779, 1101, 543, 2034, 6436, 540, 2587, 340, 880, 267, 519, 8106, 2070, 540, 519, 6498, 540, 12499, 17595, 545, 8647, 883, 5778, 4513, 267, 2618, 4680, 267, 8473, 1467, 8647, 543, 829, 951, 687, 267, 519, 3312, 16846, 607, 519, 4295, 540, 17499, 16007, 267, 18642, 6127, 267, 971, 607, 24677, 267, 16879, 267, 1788, 633, 8446, 543, 4744, 27937, 267, 1927, 609, 519, 2062, 26918, 538, 30442, 31017, 4524, 610, 9921, 6127, 267, 971, 607, 9644, 267, 7214, 1436, 267, 7787, 1436, 543, 17933, 267, 2099, 519, 8115, 1063, 519, 5033, 8344, 7706, 540, 20369, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 32313, 6363, 21682, 10657, 1315, 5438, 21377, 29760, 14114, 686, 5034, 10657, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2439, 8110, 1417, 1137, 692, 296, 1616, 547, 4444, 513, 10359, 538, 513, 6300, 799, 568, 11278, 6344, 269, 634, 9042, 1129, 3081, 621, 568, 476, 1015, 335, 322, 1055, 2221, 269, 1109, 14210, 829, 1298, 540, 11278, 6344, 815, 11278, 1321, 4061, 519, 1942, 540, 519, 10359, 786, 581, 11278, 10482, 269, 1109, 5457, 547, 2141, 1265, 856, 1018, 476, 1015, 610, 476, 276, 610, 476, 272, 829, 1298, 540, 513, 1297, 568, 607, 621, 2306, 519, 9819, 4443, 780, 11742, 692, 11742, 281, 12433, 5402, 1107, 476, 2568, 3764, 538, 606, 5662, 267, 543, 1169, 2947, 3764, 593, 513, 9219, 3068, 11224, 476, 1789, 5232, 540, 513, 5858, 256, 1109, 476, 11740, 5232, 568, 513, 2347, 2490, 543, 972, 616, 2185, 1318, 7285, 538, 513, 5858, 267, 7893, 476, 3445, 5232, 1142, 269, 3281, 817, 26333, 715, 590, 654, 661, 1107, 1586, 3160, 2185, 1318, 7285, 543, 513, 5858, 780, 293, 10330, 692, 293, 10330, 281, 4946, 543, 18946, 950, 519, 5377, 1297, 630, 1492, 14009, 264, 568, 519, 1482, 568, 2653, 1107, 1175, 1039, 610, 10208, 519, 1283, 2338, 630, 333, 10179, 2209, 264, 543, 1832, 519, 5377, 1297, 519, 1482, 269, 1109, 1403, 519, 5377, 1297, 568, 1114, 267, 1287, 2053, 873, 1927, 547, 1118, 513, 1455, 14009, 543, 1107, 8726, 649, 798, 547, 519, 5377, 649, 723, 547, 798, 547, 519, 1283, 8627, 1924, 952, 596, 1689, 476, 276, 547, 476, 1015, 596, 723, 1535, 676, 476, 273, 865, 2053, 519, 1283, 676, 476, 273, 1932, 26008, 1109, 5564, 28745, 8454, 1107, 2053, 519, 1283, 1927, 543, 519, 5377, 1927, 543, 1287, 22599, 1524, 952, 596, 666, 269, 1109, 10406, 540, 8454, 281, 4734, 519, 1101, 6824, 4805, 267, 1689, 519, 6498, 1129, 547, 513, 8691, 1129, 543, 5442, 309, 12224, 630, 339, 1248, 26700, 1524, 264, 519, 2034, 6824, 269, 1109, 3973, 1175, 9062, 856, 607, 596, 1131, 609, 513, 8691, 6824, 2439, 306, 32464, 543, 10699, 539, 692, 306, 32464, 543, 7750, 539, 2338, 616, 607, 5205, 1384, 2420, 476, 1109, 284, 476, 273, 1535, 476, 273, 815, 476, 275, 543, 865, 593, 692, 3451, 1109, 815, 476, 274, 1535, 476, 274, 1535, 476, 274, 815, 476, 2767, 543, 865, 593, 692, 5415, 7436, 616, 4503, 538, 4255, 1317, 10453, 1118, 25064, 9073, 269, 1109, 26419, 1832, 707, 1445, 543, 2119, 707, 1360, 1655, 269, 1109, 6153, 9939, 8627, 0, 30125, 30108, 23357, 692, 19808, 592, 572, 2173, 30291, 636, 11532, 692, 19808, 592, 572, 11610, 11532, 2829, 602, 1689, 540, 11610, 540, 513, 1560, 568, 3160, 547, 519, 20949, 4294, 547, 621, 780, 2080, 28850, 636, 568, 519, 1587, 540, 2527, 543, 6991, 540, 519, 1560, 543, 649, 1289, 621, 607, 519, 2048, 1103, 1068, 807, 547, 5163, 685, 607, 1134, 269, 1656, 6764, 592, 572, 568, 3812, 950, 513, 9645, 2179, 540, 3196, 6411, 593, 513, 1560, 585, 513, 1360, 1507, 8653, 540, 942, 269, 1284, 1205, 922, 9588, 676, 14921, 519, 9588, 540, 519, 3196, 676, 519, 942, 8653, 780, 2791, 666, 3533, 1224, 1346, 538, 3877, 689, 519, 6402, 2630, 543, 1287, 8399, 2417, 585, 519, 11610, 20949, 11532, 780, 19808, 592, 572, 11610, 11532, 1107, 8174, 566, 692, 6124, 2023, 779, 5822, 4521, 540, 5163, 2829, 602, 519, 2557, 540, 1689, 540, 11610, 540, 606, 1843, 610, 513, 1062, 568, 14354, 547, 2121, 3196, 4294, 593, 602, 1843, 610, 519, 1062, 780, 26139, 689, 713, 4521, 649, 1205, 519, 4214, 540, 3196, 607, 454, 293, 815, 544, 513, 2560, 16414, 263, 272, 994, 3602, 513, 568, 519, 10231, 540, 519, 1560, 609, 2527, 544, 950, 513, 2121, 3196, 674, 568, 4294, 593, 621, 780, 3086, 1577, 779, 2736, 1524, 713, 3830, 912, 4131, 779, 2161, 267, 579, 543, 642, 616, 519, 3355, 543, 3803, 6991, 540, 519, 1843, 896, 10231, 543, 519, 942, 3144, 585, 713, 1689, 540, 6991, 568, 1109, 24941, 339, 692, 293, 815, 544, 513, 815, 544, 630, 341, 268, 340, 264, 1315, 1109, 24941, 339, 692, 284, 630, 332, 341, 1107, 18665, 264, 1315, 1109, 24941, 339, 815, 1689, 538, 11610, 1315, 1109, 24941, 339, 692, 810, 267, 674, 815, 1109, 24941, 335, 270, 24941, 339, 692, 328, 4318, 1421, 10414, 815, 15580, 540, 7827, 540, 28850, 636, 692, 11764, 332, 566, 540, 782, 3196, 3334, 593, 513, 1560, 454, 284, 674, 815, 476, 1109, 24941, 335, 270, 24941, 339, 2560, 16414, 8796, 15301, 273, 2020, 26139, 649, 666, 2328, 267, 1109, 1109, 24941, 335, 815, 674, 1547, 18529, 339, 16414, 15301, 274, 2020, 5804, 3830, 476, 274, 1657, 649, 666, 1294, 602, 1689, 538, 11610, 568, 849, 6829, 607, 519, 1587, 540, 3196, 543, 519, 942, 8653, 780, 3086, 1577, 779, 2911, 827, 519, 20949, 11610, 11532, 780, 2252, 649, 2015, 519, 3196, 547, 581, 513, 3586, 3196, 267, 1287, 607, 4214, 649, 1533, 602, 20949, 568, 519, 1587, 540, 519, 3196, 4294, 543, 519, 942, 8653, 780, 19808, 592, 572, 630, 297, 264, 815, 674, 1547, 24941, 339, 2560, 16414, 263, 275, 2020, 28885, 4082, 689, 4834, 476, 274, 538, 3830, 476, 275, 1657, 649, 666, 2328, 10484, 19808, 592, 572, 263, 297, 264, 815, 674, 1547, 24941, 339, 815, 18529, 335, 692, 328, 4318, 1421, 6764, 592, 572, 263, 297, 264, 815, 7827, 538, 11610, 692, 3383, 649, 666, 1294, 602, 267, 6764, 592, 572, 568, 6697, 547, 519, 1689, 538, 11610, 263, 24941, 335, 6393, 2171, 917, 713, 30424, 607, 519, 1109, 11069, 592, 572, 11610, 11532, 780, 1607, 3830, 2982, 721, 875, 606, 20949, 2813, 676, 513, 3196, 666, 1860, 519, 5163, 540, 513, 1560, 780, 2690, 576, 5384, 4354, 557, 692, 1103, 519, 1483, 1158, 267, 4229, 616, 1419, 711, 3586, 269, 17086, 949, 1628, 909, 689, 4642, 936, 942, 543, 849, 949, 4268, 4470, 593, 1082, 2188, 780, 23804, 856, 519, 2949, 1198, 540, 782, 891, 4229, 2047, 1131, 581, 3833, 2352, 269, 1306, 649, 5173, 20949, 267, 649, 9062, 3196, 676, 942, 269, 901, 568, 6697, 547, 4466, 519, 1858, 896, 513, 3196, 6066, 7455, 780, 2690, 4756, 3196, 519, 3337, 540, 519, 3196, 6066, 7455, 1131, 581, 7294, 855, 585, 513, 3586, 3196, 649, 786, 1205, 513, 12863, 13551, 269, 769, 1022, 2013, 267, 519, 2949, 1109, 6339, 20949, 1109, 21671, 6927, 547, 1174, 519, 5163, 540, 606, 1843, 1739, 606, 20949, 780, 19587, 281, 12474, 568, 6870, 8206, 256, 0, 258, 513, 3287, 265, 320, 6661, 321, 3287, 1532, 2020, 1012, 11822, 543, 1655, 2259, 3070, 585, 513, 3287, 265, 320, 6661, 321, 3287, 1532, 264, 3830, 269, 6744, 875, 2653, 621, 568, 267, 543, 1451, 621, 585, 519, 2104, 269, 3776, 3070, 568, 2241, 267, 543, 2653, 547, 1174, 267, 865, 21645, 19292, 547, 946, 621, 607, 513, 3070, 540, 707, 6780, 780, 2252, 621, 781, 711, 1018, 1411, 616, 3168, 585, 1826, 538, 519, 3830, 24626, 707, 1378, 3830, 543, 1577, 721, 4194, 621, 780, 1012, 8827, 585, 513, 3287, 265, 320, 6661, 321, 3287, 1532, 264, 3830, 1384, 8245, 680, 4328, 454, 320, 3287, 2608, 513, 264, 815, 536, 3287, 1341, 910, 272, 321, 994, 11372, 17586, 1535, 2608, 513, 454, 320, 263, 1314, 264, 815, 536, 3287, 1341, 910, 272, 321, 994, 11372, 17586, 513, 2608, 4949, 454, 320, 273, 343, 815, 536, 3287, 1341, 910, 272, 321, 994, 3725, 4650, 519, 2474, 912, 320, 273, 343, 815, 536, 8987, 272, 321, 1341, 1535, 994, 320, 273, 343, 815, 11196, 272, 321, 2608, 536, 1341, 1535, 2608, 536, 994, 3725, 4650, 519, 2474, 912, 320, 273, 343, 815, 630, 321, 343, 1341, 910, 272, 321, 273, 994, 320, 273, 343, 815, 630, 321, 343, 1341, 910, 272, 321, 273, 994, 306, 6295, 454, 320, 273, 343, 815, 536, 343, 1341, 910, 272, 321, 273, 454, 306, 6295, 585, 4756, 1412, 320, 23823, 31161, 782, 2474, 5627, 513, 547, 519, 2451, 267, 782, 824, 2474, 547, 519, 1318, 563, 19667, 728, 1142, 2427, 676, 1412, 343, 23823, 320, 273, 815, 536, 1341, 910, 272, 321, 273, 343, 268, 272, 454, 8245, 680, 4328, 454, 320, 273, 815, 536, 1341, 910, 272, 321, 273, 343, 268, 272, 454, 3725, 4650, 519, 2474, 912, 320, 273, 1341, 910, 272, 321, 1341, 536, 273, 343, 268, 272, 815, 536, 1341, 910, 272, 321, 1341, 910, 272, 321, 273, 343, 268, 272, 1341, 536, 273, 343, 268, 272, 454, 23382, 710, 899, 2474, 281, 536, 1341, 910, 272, 321, 815, 476, 271, 454, 320, 273, 1341, 910, 272, 321, 1341, 536, 273, 343, 268, 272, 815, 476, 271, 1341, 910, 272, 321, 273, 343, 268, 272, 1341, 536, 273, 343, 268, 272, 454, 320, 273, 1341, 910, 272, 321, 1341, 536, 273, 343, 268, 272, 815, 910, 272, 321, 273, 343, 268, 272, 1341, 536, 273, 343, 268, 272, 454, 23382, 710, 899, 2474, 281, 910, 272, 321, 273, 343, 268, 272, 1341, 536, 273, 343, 268, 272, 815, 476, 271, 454, 320, 273, 1341, 910, 272, 321, 1341, 536, 273, 343, 268, 272, 815, 476, 271, 454, 763, 3070, 547, 713, 3830, 1223, 711, 581, 5462, 269, 319, 0, 25823, 749, 2572, 538, 8562, 983, 2107, 23605, 910, 24291, 28257, 12022, 14534, 476, 14180, 15906, 14507, 692, 258, 24291, 28257, 12022, 14534, 476, 14180, 15906, 14507, 692, 346, 476, 15906, 18247, 28405, 405, 493, 12022, 405, 496, 12168, 365, 18247, 24220, 30234, 405, 495, 12168, 366, 30234, 21333, 405, 496, 14180, 30234, 18716, 12168, 373, 30234, 12022, 405, 496, 14534, 405, 489, 8294, 7684, 692, 1012, 24291, 404, 361, 14534, 28257, 29756, 404, 490, 476, 736, 12168, 367, 24220, 20254, 14534, 24220, 14507, 476, 1001, 280, 692, 25823, 749, 2572, 538, 8562, 983, 2107, 23605, 692, 9045, 749, 2572, 538, 8562, 983, 2107, 23605, 692, 25823, 749, 2572, 454, 25823, 749, 2572, 3277, 547, 519, 3615, 602, 25057, 519, 3618, 610, 1022, 7372, 1560, 269, 1358, 666, 581, 2067, 899, 519, 7599, 547, 519, 3047, 610, 812, 13402, 899, 15408, 602, 10739, 938, 4541, 799, 948, 538, 2921, 930, 5961, 585, 621, 610, 585, 824, 10785, 547, 1683, 930, 1344, 827, 519, 7122, 780, 2467, 616, 930, 2168, 3741, 602, 1754, 985, 782, 2010, 540, 15408, 2901, 789, 616, 2067, 15408, 610, 812, 13402, 15408, 267, 6310, 4834, 616, 1031, 585, 10503, 891, 2168, 3741, 585, 15408, 269, 1284, 723, 547, 1174, 602, 15408, 616, 1788, 3796, 607, 789, 1847, 538, 741, 25057, 11884, 896, 519, 1198, 540, 8904, 1152, 269, 634, 25057, 540, 15408, 616, 9764, 543, 741, 5163, 568, 18170, 676, 519, 1482, 2168, 4031, 540, 9764, 5163, 780, 25823, 749, 2572, 538, 8562, 983, 2107, 23605, 454, 290, 1844, 983, 10739, 568, 519, 10739, 799, 814, 519, 3337, 540, 5858, 267, 713, 5858, 814, 513, 3586, 8953, 950, 519, 1560, 25057, 1472, 1022, 7372, 1560, 543, 568, 4299, 676, 519, 14965, 3196, 540, 713, 1560, 269, 769, 713, 1826, 540, 25057, 267, 972, 616, 1079, 3615, 2291, 269, 634, 3677, 835, 786, 581, 519, 4099, 540, 519, 5858, 799, 786, 581, 6378, 543, 519, 4130, 835, 786, 1847, 1472, 621, 538, 513, 9764, 5163, 780, 2690, 1383, 267, 950, 513, 9682, 25057, 519, 3047, 267, 519, 3047, 568, 6378, 543, 519, 9682, 1847, 1472, 621, 538, 9764, 10739, 543, 519, 1152, 3196, 957, 593, 519, 9682, 786, 581, 519, 14965, 3196, 540, 519, 3047, 269, 1703, 616, 930, 3741, 540, 15408, 538, 9764, 5163, 267, 891, 3741, 786, 581, 5941, 2630, 538, 519, 1985, 3296, 780, 763, 14362, 540, 9045, 749, 2572, 538, 8562, 983, 2107, 23605, 692, 634, 14362, 540, 9045, 749, 2572, 538, 8562, 983, 2107, 23605, 692, 763, 3741, 540, 15408, 538, 9764, 10739, 786, 581, 519, 1482, 540, 9764, 5163, 3741, 269, 634, 6991, 267, 10231, 543, 3196, 540, 28835, 15408, 786, 581, 4330, 607, 11609, 1657, 538, 519, 3113, 780, 2690, 6991, 6152, 267, 621, 786, 581, 2141, 17242, 547, 519, 5858, 540, 9682, 779, 10739, 693, 1142, 1448, 593, 519, 2619, 540, 5163, 269, 901, 6991, 666, 581, 7229, 28879, 2687, 547, 519, 1739, 3830, 1384, 6991, 6152, 454, 8489, 2676, 268, 13725, 642, 281, 568, 519, 6991, 540, 519, 9682, 1472, 519, 4541, 563, 268, 13725, 717, 281, 568, 519, 14965, 3586, 267, 621, 11224, 476, 277, 269, 6858, 275, 6398, 476, 1015, 6629, 1556, 1109, 332, 274, 11899, 6629, 272, 338, 6629, 273, 563, 268, 13725, 631, 281, 568, 519, 2527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 25430, 2501, 1813, 267, 596, 786, 581, 2366, 513, 18102, 689, 707, 3557, 6481, 8274, 269, 898, 786, 2307, 596, 2055, 17640, 547, 707, 7694, 267, 827, 1022, 31710, 610, 533, 2056, 2152, 602, 723, 3144, 1747, 269, 5901, 538, 2247, 602, 707, 15482, 19608, 12689, 666, 581, 2847, 12097, 952, 519, 1344, 596, 1747, 593, 519, 25430, 568, 1336, 547, 581, 25619, 610, 952, 596, 723, 1044, 3238, 538, 7803, 2534, 1282, 519, 24416, 1974, 563, 2005, 568, 1360, 1271, 602, 596, 1174, 15482, 19608, 24416, 4170, 4268, 7494, 689, 1533, 547, 1533, 269, 4475, 267, 952, 596, 616, 4058, 547, 1847, 547, 1776, 1533, 1118, 2386, 596, 666, 4483, 707, 12689, 547, 602, 1533, 269, 1411, 786, 581, 2111, 547, 952, 707, 12689, 568, 538, 1434, 7555, 543, 519, 3557, 15482, 8274, 568, 711, 14236, 1022, 20286, 827, 596, 269, 634, 1533, 596, 616, 22151, 707, 12689, 547, 1590, 723, 519, 1482, 1377, 540, 4170, 610, 1447, 269, 898, 519, 1007, 1533, 4170, 616, 811, 982, 596, 723, 267, 1287, 596, 786, 991, 547, 3489, 519, 7508, 1983, 610, 5049, 538, 1931, 547, 3489, 513, 12689, 563, 299, 545, 14819, 607, 513, 15482, 19608, 666, 948, 596, 723, 606, 6316, 593, 519, 12032, 585, 602, 1390, 2816, 596, 1616, 269, 898, 849, 10522, 547, 2550, 602, 596, 616, 11727, 547, 581, 2324, 538, 513, 5959, 5604, 543, 5870, 741, 5959, 2115, 269, 898, 666, 849, 2333, 707, 1377, 540, 2628, 538, 930, 2829, 1141, 24416, 568, 2139, 855, 711, 2838, 269, 1411, 666, 3489, 1344, 827, 24416, 11400, 538, 707, 1858, 689, 519, 3557, 15482, 8274, 610, 596, 1576, 14357, 269, 634, 981, 568, 3622, 2854, 543, 27564, 563, 291, 1581, 32113, 1218, 9796, 454, 6826, 5765, 513, 15482, 19608, 711, 1152, 22316, 596, 585, 513, 8748, 4876, 2324, 538, 519, 5959, 2361, 267, 568, 849, 17188, 1360, 1134, 269, 4595, 713, 1858, 540, 7694, 568, 17191, 547, 581, 835, 540, 519, 1034, 538, 3747, 936, 519, 1985, 3670, 1296, 267, 707, 8458, 540, 17516, 513, 1390, 2816, 609, 1390, 2628, 543, 2640, 568, 1360, 2693, 563, 763, 2405, 1014, 5662, 569, 2557, 540, 2628, 585, 15482, 32113, 1218, 568, 1269, 1724, 269, 7830, 269, 901, 568, 1134, 1657, 519, 5934, 13230, 3964, 538, 1034, 2829, 269, 769, 1840, 547, 513, 1390, 5662, 569, 13230, 267, 1082, 15482, 32113, 1218, 786, 4309, 13755, 4926, 952, 519, 5959, 5604, 568, 3257, 1134, 267, 1072, 6142, 267, 543, 31680, 5959, 5773, 269, 20290, 782, 15482, 32113, 1218, 4309, 6976, 16314, 2395, 267, 7210, 2395, 267, 543, 6976, 32733, 563, 4913, 267, 15980, 971, 513, 1164, 5662, 569, 13230, 2501, 609, 513, 1390, 1377, 540, 5539, 269, 15482, 32113, 1218, 1685, 11645, 11341, 547, 3461, 1416, 267, 5604, 19455, 267, 2978, 11645, 267, 543, 21528, 519, 11290, 543, 31978, 626, 609, 513, 3099, 540, 5773, 269, 15482, 32113, 1218, 991, 547, 581, 10332, 267, 2628, 3007, 547, 1469, 267, 543, 723, 2500, 2792, 1983, 269, 1358, 1590, 849, 581, 2111, 547, 1683, 2550, 609, 4313, 3800, 1312, 1354, 543, 1310, 5773, 616, 6192, 563, 291, 1581, 32113, 1218, 616, 3362, 11821, 609, 15482, 5754, 8162, 1235, 269, 22702, 547, 31978, 1235, 267, 945, 723, 513, 11667, 2557, 540, 2628, 540, 1269, 2537, 269, 4792, 829, 5662, 267, 513, 15482, 19608, 568, 711, 1818, 513, 1360, 1434, 5662, 569, 13230, 269, 1717, 267, 789, 616, 1360, 1114, 22825, 269, 589, 15482, 19608, 1281, 1175, 602, 267, 20674, 519, 11290, 543, 31978, 626, 609, 3246, 519, 1655, 2298, 1416, 585, 782, 2550, 269, 589, 31978, 626, 3217, 1416, 540, 7738, 4522, 543, 3622, 814, 513, 11931, 6908, 540, 2550, 945, 2097, 538, 1169, 3670, 3275, 585, 6296, 7738, 5773, 563, 763, 2179, 540, 2628, 513, 15482, 19608, 1274, 985, 5673, 593, 1082, 2188, 269, 634, 1942, 540, 2713, 538, 707, 1858, 786, 581, 519, 6574, 3310, 269, 634, 2179, 540, 8907, 519, 5959, 5604, 596, 960, 585, 12958, 786, 849, 581, 513, 14045, 3815, 269, 1715, 24782, 1522, 723, 547, 2628, 1447, 982, 3964, 24782, 786, 7817, 25279, 1317, 789, 1810, 1406, 723, 519, 6808, 4947, 883, 519, 5604, 269, 1717, 267, 621, 568, 1360, 2009, 707, 2628, 786, 2333, 607, 811, 2550, 616, 6537, 547, 602, 5959, 5604, 563, 7312, 1377, 540, 1995, 786, 849, 581, 513, 7156, 269, 1411, 949, 723, 547, 3398, 513, 2990, 602, 17188, 1447, 982, 3328, 547, 1205, 707, 3723, 538, 519, 7450, 543, 2744, 930, 3946, 593, 1995, 269, 1717, 267, 609, 519, 3747, 585, 15482, 32113, 1218, 267, 596, 1058, 723, 1100, 1966, 17516, 7694, 269, 3509, 5959, 13646, 1616, 547, 1832, 2298, 15482, 32113, 1218, 269, 1358, 949, 2709, 547, 1376, 596, 693, 513, 2539, 7127, 1377, 2628, 267, 609, 519, 1620, 602, 707, 2773, 786, 581, 12649, 538, 476, 3445, 2395, 610, 824, 942, 7406, 269, 9122, 593, 707, 2773, 267, 596, 2628, 786, 581, 14661, 693, 602, 942, 563, 2005, 568, 1271, 547, 1174, 602, 14468, 543, 4608, 1068, 1881, 15482, 32113, 1218, 2347, 519, 1482, 2010, 540, 4247, 269, 1717, 267, 1346, 945, 616, 14468, 7118, 1896, 9489, 811, 829, 5662, 982, 1346, 945, 5749, 1406, 14468, 269, 4475, 267, 621, 2306, 3501, 2631, 547, 1491, 519, 13995, 981, 2038, 593, 538, 707, 4876, 607, 513, 15482, 19608, 269, 0, 272, 269, 1684, 6051, 2458, 1513, 543, 25862, 2061, 707, 6177, 689, 16116, 693, 922, 17207, 610, 16398, 888, 273, 269, 1215, 1279, 798, 596, 991, 547, 1832, 707, 6177, 538, 513, 6051, 27897, 610, 13409, 888, 274, 269, 1548, 616, 519, 4220, 540, 711, 1210, 513, 6051, 27897, 610, 13409, 585, 707, 6177, 888, 275, 269, 4024, 513, 6051, 27897, 610, 13409, 15936, 609, 1250, 6177, 779, 2702, 547, 3548, 610, 4235, 888, 276, 269, 1215, 798, 594, 2973, 543, 21149, 513, 6051, 27897, 610, 13409, 888, 277, 269, 1548, 1058, 594, 798, 952, 1250, 6177, 6238, 547, 4584, 693, 922, 17207, 610, 16398, 1247, 9849, 513, 6051, 27897, 610, 13409, 888, 278, 269, 1772, 621, 2922, 547, 946, 513, 1480, 13355, 13409, 593, 1250, 6177, 888, 279, 269, 2052, 594, 1118, 1250, 1378, 6051, 27897, 610, 13409, 888, 280, 269, 1548, 824, 3681, 798, 594, 723, 16310, 1210, 513, 6051, 27897, 610, 13409, 888, 1015, 269, 7316, 666, 594, 1265, 811, 1344, 593, 6051, 2458, 1513, 543, 25862, 585, 5017, 888, 1432, 568, 513, 6051, 27897, 543, 1946, 798, 5017, 991, 873, 454, 288, 6051, 27897, 568, 513, 1826, 540, 27897, 602, 568, 5116, 593, 606, 13676, 6177, 547, 948, 2061, 621, 689, 3614, 1005, 3294, 2417, 269, 634, 27897, 849, 2337, 547, 1832, 519, 6177, 689, 840, 2287, 922, 17207, 267, 799, 666, 1291, 547, 2417, 3441, 269, 18401, 2458, 1513, 616, 3335, 1500, 689, 2571, 2326, 971, 607, 12308, 610, 17371, 267, 543, 789, 2097, 538, 513, 3099, 540, 7306, 547, 3514, 1114, 2010, 540, 5017, 563, 289, 8674, 991, 6051, 2458, 1513, 1317, 789, 616, 12155, 547, 3614, 1005, 2933, 950, 789, 616, 7210, 610, 13676, 269, 4256, 2067, 15859, 568, 547, 840, 523, 741, 17207, 267, 799, 666, 1419, 1291, 547, 811, 3441, 269, 1635, 9849, 513, 6051, 27897, 267, 519, 6177, 568, 15286, 689, 3257, 713, 543, 666, 1445, 593, 7067, 563, 3725, 11734, 2458, 1513, 616, 606, 1271, 851, 540, 26624, 1416, 267, 543, 789, 666, 1118, 513, 2462, 3017, 538, 519, 6364, 540, 606, 5945, 269, 1403, 596, 723, 606, 13676, 6177, 267, 581, 2386, 547, 2307, 707, 16943, 827, 1210, 513, 6051, 27897, 563, 1692, 1279, 798, 5017, 991, 547, 5957, 513, 6051, 27897, 610, 13409, 454, 289, 8674, 616, 8049, 7068, 543, 786, 1419, 4584, 693, 4376, 602, 5654, 899, 621, 1522, 581, 4277, 267, 1519, 741, 1378, 16398, 269, 901, 666, 8488, 7067, 543, 2014, 2417, 5945, 269, 589, 6177, 779, 2067, 21274, 267, 5916, 609, 519, 1249, 602, 789, 723, 17207, 8720, 741, 3003, 1560, 630, 14708, 621, 2352, 547, 1832, 513, 6512, 720, 538, 1747, 1070, 2306, 621, 2556, 547, 946, 513, 6051, 27897, 610, 13409, 563, 763, 3259, 540, 942, 707, 6177, 786, 991, 547, 5957, 513, 27897, 610, 13409, 786, 4096, 593, 519, 10335, 540, 519, 5945, 543, 875, 1134, 789, 20496, 9849, 621, 269, 2368, 5017, 3082, 3533, 543, 1152, 991, 547, 5957, 519, 27897, 585, 513, 1906, 2395, 267, 1247, 1866, 949, 991, 547, 5957, 621, 585, 1896, 4374, 269, 1403, 707, 6177, 568, 7683, 3843, 547, 4894, 519, 27897, 610, 13409, 267, 596, 949, 991, 547, 16833, 930, 966, 564, 1905, 1472, 621, 547, 1832, 621, 538, 1747, 563, 4407, 621, 949, 581, 15673, 532, 547, 1491, 519, 27897, 610, 13409, 1055, 19692, 982, 5227, 267, 621, 779, 1271, 547, 2285, 707, 6177, 942, 547, 12115, 5265, 269, 14190, 532, 873, 547, 4584, 693, 741, 10138, 1223, 8488, 7067, 543, 2014, 2417, 5945, 563, 1432, 616, 519, 4220, 540, 711, 1210, 513, 6051, 27897, 610, 13409, 585, 513, 6177, 454, 2467, 616, 1896, 4220, 2404, 609, 711, 1210, 513, 6051, 27897, 610, 13409, 585, 513, 6177, 269, 2290, 540, 519, 1034, 3978, 4220, 568, 602, 519, 6177, 949, 3614, 675, 3294, 1247, 3843, 547, 840, 523, 922, 17207, 269, 9453, 513, 27897, 610, 13409, 267, 519, 6177, 814, 1863, 1569, 547, 922, 3003, 1560, 543, 666, 3362, 3914, 782, 540, 922, 17207, 269, 901, 666, 1291, 547, 519, 6177, 18417, 17444, 856, 17207, 267, 799, 666, 3441, 519, 10347, 32235, 543, 1291, 547, 3968, 269, 6271, 1981, 568, 602, 519, 6177, 949, 4584, 693, 922, 10138, 267, 799, 666, 2014, 621, 547, 18053, 610, 1831, 7783, 269, 3958, 267, 1510, 513, 27897, 610, 13409, 267, 519, 6177, 949, 6299, 922, 10138, 1996, 3615, 538, 922, 1604, 267, 799, 666, 2417, 8886, 622, 610, 3441, 621, 269, 7053, 267, 711, 1210, 513, 6051, 27897, 610, 13409, 849, 12662, 824, 5017, 693, 1981, 267, 607, 606, 796, 514, 329, 3293, 6177, 949, 890, 1188, 693, 606, 13676, 6177, 779, 1930, 10138, 538, 606, 3801, 547, 2973, 621, 269, 901, 666, 6338, 4551, 883, 519, 10138, 543, 2014, 3978, 3968, 563, 1692, 1281, 513, 6051, 27897, 610, 13409, 948, 513, 6177, 9156, 454, 288, 27897, 610, 13409, 2337, 513, 6177, 9156, 676, 7303, 621, 689, 16116, 693, 922, 17207, 610, 16398, 563, 1432, 616, 519, 1114, 2010, 540, 6051, 2458, 1513, 543, 25862, 585, 5017, 454, 2467, 616, 1896, 2010, 540, 6051, 2458, 1513, 267, 849, 1572, 968, 324, 2275, 3326, 1513, 892, 610, 968, 10906, 534, 2458, 1513, 2073, 892, 602, 666, 581, 1031, 593, 5017, 269, 634, 1034, 1455, 1826, 568, 519, 4870, 23534, 27897, 267, 799, 568, 513, 8546, 540, 2571, 1570, 602, 568, 1102, 3836, 1472, 519, 6177, 779, 8405, 269, 901, 1826, 540, 27897, 2488, 519, 1034, 1489, 543, 4027, 585, 519, 6177, 779, 10138, 267, 855, 621, 666, 581, 13943, 543, 949, 6615, 519, 6177, 779, 3350, 563, 8448, 2010, 540, 6051, 2458, 1513, 1331, 519, 2182, 5068, 13409, 267, 799, 568, 2147, 547, 519, 4870, 23534, 27897, 855, 1281, 711, 1683, 607, 1454, 1489, 282, 519, 2571, 5068, 13409, 267, 799, 568, 811, 6899, 585, 519, 6177, 855, 1281, 711, 2709, 607, 1454, 4027, 282, 543, 519, 5958, 13409, 267, 799, 568, 519, 1034, 6899, 4781, 855, 3091, 519, 2547, 4027, 563, 7617, 1826, 540, 27897, 596, 946, 786, 4096, 593, 519, 10335, 540, 519, 6177, 779, 5945, 543, 707, 16943, 779, 16252, 563, 7617, 1826, 540, 6051, 27897, 610, 13409, 568, 1655, 585, 1250, 6177, 454, 2467, 616, 513, 1906, 1114, 2010, 540, 6051, 2458, 1513, 610, 25862, 602, 596, 666, 3442, 689, 585, 707, 6177, 269, 634, 1034, 1455, 1826, 568, 519, 10906, 534, 27897, 267, 799, 568, 513, 5068, 13409, 602, 4422, 1472, 707, 6177, 779, 8405, 269, 1703, 616, 849, 4870, 23534, 2458, 1513, 267, 799, 616, 1447, 703, 28424, 855, 666, 581, 811, 2352, 547, 1832, 593, 707, 6177, 269, 1411, 666, 849, 1205, 2571, 25862, 267, 799, 616, 1500, 540, 5958, 543, 3514, 2879, 1872, 569, 1472, 707, 6177, 779, 8405, 563, 2252, 596, 2461, 711, 2386, 799, 1826, 540, 27897, 568, 1655, 585, 707, 6177, 267, 621, 779, 2141, 513, 1434, 2856, 547, 2307, 707, 16943, 269, 1358, 786, 581, 2111, 547, 948, 596, 3442, 519, 1318, 1826, 540, 27897, 1759, 593, 707, 6177, 779, 1367, 2115, 563, 1692, 798, 594, 2322, 513, 6051, 27897, 610, 13409, 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 ]
[ 0, 16987, 9323, 609, 513, 4154, 6122, 2378, 6850, 2675, 2100, 454, 263, 272, 264, 1677, 3713, 519, 4527, 540, 5279, 593, 513, 1560, 454, 2252, 513, 11425, 540, 930, 5078, 1570, 568, 9901, 676, 11508, 543, 1287, 4547, 2282, 547, 519, 1698, 540, 513, 4154, 6122, 2378, 6850, 2675, 2100, 519, 6978, 568, 2938, 547, 11651, 613, 689, 519, 6676, 269, 589, 5279, 814, 1044, 13251, 593, 519, 6978, 543, 6676, 267, 543, 18867, 1065, 13955, 4386, 1063, 873, 269, 2201, 9427, 519, 9901, 11425, 267, 519, 6978, 2458, 22663, 267, 6029, 602, 519, 13251, 5279, 593, 519, 6850, 2675, 2100, 568, 1152, 10151, 269, 15020, 1507, 10997, 949, 581, 9571, 676, 713, 1505, 563, 263, 273, 264, 1677, 5279, 513, 4154, 6122, 2378, 6850, 2675, 2100, 676, 3346, 454, 23744, 6340, 267, 621, 568, 711, 2141, 2653, 547, 5279, 606, 6850, 2675, 2100, 676, 3346, 609, 513, 9901, 11425, 267, 855, 2356, 621, 666, 581, 2944, 1310, 513, 905, 349, 1777, 3319, 338, 269, 1323, 552, 2548, 924, 11425, 568, 2016, 513, 1507, 5279, 676, 27012, 609, 9663, 267, 543, 568, 1287, 18202, 936, 519, 1698, 540, 606, 6850, 2675, 2100, 269, 634, 6978, 786, 581, 2938, 547, 11651, 613, 267, 543, 1287, 519, 11425, 568, 6569, 269, 1403, 519, 6978, 1281, 711, 3251, 11651, 3022, 519, 1184, 568, 7368, 2394, 621, 1281, 269, 1284, 454, 16673, 1631, 8263, 602, 519, 6850, 2675, 2100, 568, 9901, 609, 2942, 5201, 676, 26634, 689, 519, 552, 2548, 924, 11425, 269, 1403, 519, 1698, 540, 519, 6850, 2675, 2100, 568, 20109, 609, 519, 9416, 519, 5279, 8928, 547, 3618, 998, 519, 4603, 518, 779, 1560, 543, 519, 6978, 2458, 22663, 269, 901, 568, 1572, 968, 792, 2251, 519, 6850, 2675, 2100, 6100, 6969, 23312, 1022, 2417, 621, 1590, 581, 11329, 856, 602, 12123, 676, 3346, 568, 711, 513, 1434, 1505, 543, 1419, 3947, 513, 5279, 6587, 547, 602, 4397, 269, 898, 568, 1732, 547, 946, 519, 1505, 540, 15632, 267, 799, 568, 4330, 2663, 563, 263, 274, 264, 1677, 1449, 585, 519, 1129, 540, 519, 5279, 593, 513, 1560, 454, 16352, 9901, 519, 6850, 2675, 2100, 11874, 607, 4330, 1657, 267, 519, 552, 2548, 924, 11425, 1058, 581, 556, 12737, 539, 543, 4547, 2282, 547, 519, 1698, 269, 1323, 2333, 538, 519, 6978, 27754, 568, 7074, 269, 589, 4837, 11425, 6299, 5523, 609, 16536, 630, 27168, 5279, 264, 568, 1631, 15891, 13124, 4547, 1524, 454, 339, 578, 1841, 519, 1698, 689, 513, 4463, 540, 827, 476, 2004, 900, 269, 901, 942, 267, 513, 6175, 538, 27754, 568, 8068, 269, 634, 6850, 2675, 2100, 568, 26809, 676, 15700, 621, 609, 519, 9416, 543, 19952, 9901, 9797, 676, 3346, 267, 1210, 513, 4837, 11425, 6299, 5523, 609, 16536, 269, 1284, 4927, 1631, 1265, 602, 606, 2799, 27754, 568, 3361, 676, 8744, 513, 9901, 4837, 11425, 2282, 519, 1698, 543, 513, 8519, 27754, 676, 513, 9901, 552, 2548, 924, 11425, 269, 3245, 891, 6901, 649, 9959, 602, 606, 2333, 538, 27754, 4386, 950, 519, 5279, 593, 519, 6850, 2675, 2100, 543, 519, 1449, 5279, 616, 540, 519, 1482, 2186, 269, 1284, 949, 711, 8263, 267, 2705, 267, 602, 18502, 6175, 538, 27754, 8209, 1797, 602, 513, 5279, 540, 6587, 2186, 814, 1044, 4547, 2282, 513, 9901, 6850, 2675, 2100, 269, 1323, 796, 12737, 539, 1560, 814, 519, 1482, 1198, 269, 2290, 779, 1378, 1688, 568, 513, 10375, 796, 12737, 539, 1560, 547, 946, 585, 713, 3483, 269, 476, 1556, 31742, 338, 602, 519, 1152, 2386, 1449, 585, 519, 1129, 540, 5279, 593, 513, 1560, 568, 547, 3489, 606, 2333, 538, 27754, 269, 634, 2164, 540, 891, 6901, 616, 24298, 538, 519, 3349, 3254, 563, 263, 275, 264, 1677, 1449, 519, 32229, 3601, 540, 1585, 2326, 454, 763, 32229, 610, 267, 598, 14287, 267, 519, 10647, 3959, 540, 513, 2016, 6219, 949, 581, 7318, 676, 8066, 513, 3732, 540, 519, 6219, 538, 519, 1688, 543, 1287, 8744, 621, 883, 3346, 609, 519, 1698, 540, 513, 9901, 6850, 2675, 2100, 269, 1403, 519, 6219, 568, 513, 1434, 1202, 15975, 972, 786, 581, 1100, 24694, 540, 5279, 998, 621, 543, 519, 6978, 27754, 786, 711, 7369, 269, 1403, 267, 2705, 267, 519, 6978, 2458, 22663, 14678, 621, 2982, 602, 519, 6219, 568, 513, 1434, 18364, 563, 27001, 891, 1079, 26037, 972, 616, 1978, 6878, 799, 3132, 513, 3500, 12900, 540, 519, 6978, 269, 1452, 616, 1362, 539, 607, 4057, 1202, 22399, 610, 4057, 26423, 269, 6201, 540, 512, 1010, 1826, 540, 1570, 616, 1957, 267, 15144, 267, 10412, 267, 543, 3574, 269, 11048, 267, 952, 891, 6878, 616, 12015, 8499, 789, 1831, 3833, 1434, 1202, 22399, 269, 901, 5267, 602, 741, 2702, 547, 2932, 5201, 2501, 689, 741, 7509, 1543, 269, 7324, 519, 1434, 26423, 616, 782, 519, 8407, 543, 3327, 269, 634, 1434, 1202, 22399, 616, 20962, 584, 267, 21247, 267, 1612, 3530, 514, 14589, 267, 4874, 9109, 2643, 17296, 630, 303, 17679, 6983, 13776, 7387, 659, 267, 4874, 1492, 928, 267, 543, 16536, 269, 634, 4603, 1058, 581, 5645, 856, 609, 607, 1082, 1114, 6878, 607, 2009, 543, 519, 2164, 6592, 538, 513, 3349, 607, 2630, 269, 0, 23338, 4425, 1335, 807, 16323, 568, 835, 540, 519, 476, 1691, 11889, 1770, 540, 519, 16231, 6243, 267, 799, 729, 3964, 538, 5147, 476, 272, 267, 476, 3422, 271, 2687, 547, 519, 2920, 1100, 269, 476, 3607, 270, 3422, 271, 267, 968, 4002, 519, 16857, 6498, 540, 519, 1533, 5608, 543, 2094, 5130, 476, 272, 267, 476, 1220, 271, 568, 606, 14628, 2199, 2229, 267, 1482, 1032, 950, 519, 1101, 12836, 941, 4371, 269, 769, 6476, 609, 824, 4525, 621, 1281, 711, 723, 922, 6237, 5604, 10160, 4092, 538, 922, 1378, 8513, 855, 538, 519, 3854, 2749, 540, 26285, 826, 630, 6518, 814, 519, 4567, 540, 4830, 3148, 1040, 23338, 4425, 1335, 807, 16323, 568, 519, 4102, 3148, 538, 519, 2197, 609, 606, 1858, 540, 476, 1015, 267, 280, 3066, 630, 1001, 278, 264, 4009, 12919, 602, 2306, 909, 3592, 476, 1691, 260, 540, 16231, 6243, 543, 568, 849, 519, 1034, 29245, 538, 519, 2197, 609, 513, 2698, 540, 476, 272, 269, 274, 2929, 11317, 630, 1492, 1034, 20651, 8664, 540, 519, 3148, 568, 519, 16217, 3873, 7232, 770, 8664, 630, 14378, 267, 280, 1691, 11317, 1040, 15510, 540, 519, 3148, 568, 2810, 5631, 1813, 547, 28180, 1436, 1107, 9194, 689, 824, 4525, 543, 689, 26285, 826, 547, 13102, 4478, 519, 3854, 267, 7587, 5024, 547, 930, 6708, 519, 23195, 4282, 540, 519, 3854, 2749, 563, 23338, 4425, 1335, 807, 621, 779, 1500, 909, 540, 476, 272, 267, 13893, 25772, 3262, 1851, 922, 476, 1321, 13102, 281, 645, 2940, 20795, 990, 267, 7137, 1735, 267, 918, 19921, 7224, 267, 30709, 27713, 267, 918, 583, 3534, 670, 7702, 267, 9253, 333, 6403, 330, 267, 631, 331, 3385, 645, 3421, 15442, 267, 715, 2096, 10767, 330, 267, 26285, 826, 7232, 770, 267, 26285, 826, 8862, 652, 267, 623, 385, 503, 756, 1090, 543, 681, 752, 990, 333, 6403, 330, 269, 634, 2947, 4102, 4872, 538, 519, 3148, 1331, 918, 19921, 7224, 267, 631, 19921, 5451, 645, 3421, 15442, 267, 623, 385, 503, 6403, 321, 1090, 267, 30709, 27713, 543, 918, 583, 333, 5451, 670, 7702, 269, 634, 5207, 1297, 540, 25772, 568, 13671, 538, 519, 631, 19921, 5451, 645, 3421, 15442, 667, 1112, 2774, 543, 538, 519, 623, 385, 503, 6403, 321, 1090, 10588, 630, 6344, 25772, 1142, 1070, 1247, 519, 9803, 1297, 540, 25772, 568, 538, 519, 631, 384, 505, 15238, 6403, 330, 10588, 630, 7597, 1040, 634, 2551, 5860, 568, 519, 5207, 538, 519, 16217, 3873, 8862, 652, 8664, 267, 519, 16217, 3873, 7232, 770, 8664, 267, 543, 519, 918, 19921, 7224, 8664, 630, 1478, 476, 1220, 11317, 829, 5998, 273, 1040, 2353, 891, 13102, 723, 2178, 8739, 20300, 13218, 609, 26285, 826, 543, 789, 13822, 547, 930, 6708, 519, 23195, 4282, 540, 519, 13317, 4975, 630, 5425, 308, 267, 476, 1001, 278, 1916, 20779, 4919, 1646, 540, 519, 3148, 3323, 547, 3982, 1947, 1689, 538, 519, 2034, 3368, 540, 519, 476, 1960, 271, 338, 267, 5631, 7064, 547, 4070, 540, 9682, 17260, 538, 519, 26195, 597, 976, 540, 26285, 826, 269, 634, 2551, 814, 1044, 7683, 2810, 543, 621, 568, 5631, 4835, 9194, 267, 799, 8309, 547, 519, 2551, 2333, 269, 589, 2462, 2179, 540, 2523, 1762, 1004, 6410, 883, 519, 3148, 4259, 909, 741, 3885, 972, 1813, 547, 519, 1434, 4087, 540, 519, 3148, 269, 8729, 547, 602, 267, 519, 2067, 6175, 814, 7930, 12628, 543, 4358, 538, 476, 1220, 277, 811, 1453, 616, 4535, 538, 519, 3148, 982, 972, 616, 7972, 269, 634, 3148, 729, 519, 21836, 538, 519, 16231, 6243, 607, 585, 922, 3328, 2085, 540, 519, 2551, 267, 799, 729, 476, 6078, 1296, 538, 476, 1001, 277, 269, 11048, 267, 513, 18487, 7678, 540, 519, 2551, 30333, 4299, 519, 3148, 543, 689, 476, 1001, 276, 7606, 9907, 476, 4792, 266, 1296, 3323, 547, 7173, 841, 538, 741, 1297, 936, 1453, 9907, 909, 547, 476, 1691, 1296, 563, 763, 4087, 540, 6239, 4425, 1335, 807, 16323, 543, 519, 2673, 13218, 609, 519, 3854, 2749, 540, 26285, 826, 3648, 5540, 922, 2804, 4162, 269, 634, 6237, 5604, 540, 6239, 4425, 1335, 807, 16323, 568, 27939, 538, 26285, 826, 543, 972, 568, 513, 2178, 22524, 11163, 1063, 519, 1079, 4525, 538, 16450, 267, 2872, 543, 1382, 269, 3245, 519, 2804, 1448, 540, 2070, 267, 1312, 4525, 616, 954, 22366, 269, 4107, 1271, 9922, 540, 3310, 281, 3782, 267, 1426, 267, 1514, 267, 2069, 267, 18883, 543, 6283, 563, 763, 2804, 2773, 540, 519, 6239, 4425, 1335, 1014, 16323, 16034, 1851, 519, 1655, 538, 519, 1279, 2165, 950, 3379, 609, 519, 824, 4525, 540, 519, 16231, 6243, 269, 898, 814, 519, 2034, 5207, 2671, 630, 1556, 269, 277, 8472, 538, 519, 12654, 538, 519, 6237, 6476, 630, 2431, 1310, 26285, 826, 1916, 763, 5663, 2872, 4249, 513, 2629, 1909, 538, 519, 6237, 4346, 630, 4375, 269, 275, 260, 538, 6476, 609, 476, 2537, 260, 538, 5125, 543, 476, 866, 260, 538, 15212, 264, 9141, 676, 16669, 2872, 267, 4702, 543, 1426, 269, 634, 3549, 5665, 538, 713, 2361, 2272, 585, 3592, 476, 2412, 260, 540, 519, 2804, 3977, 543, 1711, 811, 982, 476, 1789, 260, 540, 6009, 563, 4913, 267, 519, 3148, 814, 1185, 513, 1360, 4028, 1646, 540, 2413, 1382, 2238, 538, 513, 1297, 540, 4610, 689, 24684, 267, 25852, 267, 2584, 9582, 543, 6046, 2029, 282, 998, 4359, 2326, 282, 547, 8103, 4610, 899, 2618, 17226, 543, 2790, 1072, 13282, 563, 6097, 547, 16402, 560, 520, 267, 1851, 519, 16588, 2276, 267, 519, 9803, 13864, 3928, 538, 5988, 476, 1001, 278, 941, 6592, 538, 519, 16231, 6243, 630, 274, 269, 275, 4939, 1070, 5125, 630, 274, 269, 280, 4939, 264, 543, 5689, 3279, 630, 275, 269, 272, 4939, 1040, 634, 5207, 3928, 941, 4767, 538, 10255, 630, 2537, 269, 272, 4939, 538, 5412, 630, 1001, 277, 264, 543, 8050, 630, 1240, 269, 271, 4939, 1040, 634, 13864, 538, 519, 3148, 568, 2539, 982, 519, 3084, 3328, 585, 513, 1279, 3856, 269, 1306, 693, 476, 4029, 5412, 476, 1001, 277, 267, 519, 2671, 540, 519, 32014, 7606, 538, 519, 16323, 729, 476, 274, 269, 272, 18336, 1103, 1840, 267, 6683, 2640, 689, 5140, 2067, 2175, 538, 519, 27040, 851, 540, 519, 3148, 267, 519, 3148, 608, 26118, 5631, 538, 2030, 2504, 1107, 14713, 540, 10568, 267, 24061, 267, 4006, 14043, 267, 12277, 267, 519, 28180, 2694, 540, 5613, 267, 5388, 543, 25798, 2371, 269, 898, 849, 10953, 1648, 7031, 267, 2523, 3282, 23092, 22149, 563, 763, 3148, 568, 3648, 3238, 538, 519, 2518, 4346, 676, 1797, 540, 4914, 4123, 1107, 15866, 547, 519, 4639, 3864, 6990, 630, 10852, 4123, 7649, 568, 5125, 1040, 6239, 4425, 1335, 807, 568, 519, 3148, 609, 519, 2034, 5207, 13143, 2773, 538, 519, 2197, 267, 689, 713, 5133, 267, 621, 568, 2556, 547, 1448, 856, 602, 519, 16669, 2872, 8309, 547, 519, 1164, 13143, 21341, 630, 335, 20094, 689, 519, 16669, 1871, 5832, 2272, 585, 3592, 476, 2004, 260, 540, 13143, 1916, 763, 27614, 540, 4914, 1463, 9541, 630, 293, 14888, 264, 538, 3448, 2474, 630, 704, 21027, 264, 568, 519, 2034, 5207, 630, 12898, 26285, 826, 1040, 1323, 1271, 7678, 568, 513, 3395, 8515, 540, 674, 14888, 27614, 547, 519, 3148, 7064, 547, 2048, 29985, 1436, 2188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19932, 602, 798, 711, 1450, 2242, 547, 513, 4756, 616, 1572, 6198, 4654, 269, 590, 3118, 568, 606, 1412, 11069, 675, 262, 6198, 1893, 2094, 621, 6140, 6198, 855, 2636, 4756, 14842, 563, 273, 269, 6271, 4909, 1523, 568, 21658, 543, 952, 596, 1174, 519, 3483, 540, 519, 23508, 1650, 1310, 2542, 713, 3296, 267, 596, 2811, 1134, 593, 707, 1259, 547, 1373, 513, 2780, 10196, 2336, 274, 269, 634, 3791, 1390, 4909, 1523, 538, 2780, 2257, 568, 31633, 269, 769, 1880, 267, 2780, 3744, 616, 2141, 3843, 547, 1118, 1919, 811, 7493, 543, 811, 2489, 630, 8117, 711, 22350, 865, 1040, 634, 2601, 568, 602, 3301, 270, 17882, 338, 270, 7116, 1564, 27109, 519, 1697, 2157, 540, 27727, 543, 31633, 616, 1454, 1454, 4443, 547, 1174, 543, 12189, 269, 901, 568, 2523, 3730, 950, 596, 616, 2838, 547, 1118, 513, 2063, 2034, 1689, 547, 519, 3301, 270, 17882, 270, 16347, 563, 275, 269, 589, 20438, 568, 513, 18351, 602, 3112, 581, 1031, 607, 519, 2012, 540, 513, 4756, 269, 22702, 547, 1034, 4654, 267, 590, 3118, 814, 19599, 1906, 17161, 269, 769, 1249, 267, 972, 616, 1175, 1614, 281, 15254, 267, 1599, 267, 543, 3116, 269, 634, 6967, 17161, 786, 581, 5941, 519, 1866, 538, 7766, 6810, 563, 276, 269, 634, 5156, 1871, 540, 28697, 814, 4957, 2429, 519, 5553, 543, 711, 2141, 547, 581, 811, 4977, 630, 5408, 20886, 342, 281, 14532, 540, 13100, 347, 316, 7481, 277, 269, 769, 590, 3118, 267, 782, 12427, 616, 3252, 269, 17957, 267, 782, 3252, 602, 1491, 1079, 7440, 616, 12427, 269, 2859, 593, 713, 2663, 269, 0, 8450, 1412, 333, 262, 16534, 10439, 18185, 692, 258, 6423, 1412, 333, 262, 16534, 10439, 18185, 692, 2005, 655, 1948, 476, 279, 4366, 271, 454, 288, 2471, 1109, 277, 268, 1015, 454, 15478, 4097, 269, 4200, 454, 304, 1399, 454, 13510, 22355, 912, 21609, 7888, 9498, 10525, 4834, 538, 519, 1482, 3898, 1053, 2328, 873, 563, 1892, 30216, 606, 2085, 29003, 4367, 547, 26732, 609, 16136, 1125, 700, 7374, 5496, 267, 1804, 16181, 543, 6505, 267, 2681, 2275, 10757, 16181, 692, 1892, 31698, 3003, 4834, 2864, 982, 1175, 519, 2063, 1297, 9411, 692, 1892, 17972, 476, 275, 3252, 630, 611, 1288, 267, 12408, 267, 8691, 267, 6498, 2020, 1892, 10671, 2231, 476, 273, 21191, 9075, 267, 711, 3769, 692, 2162, 8605, 27491, 692, 8698, 1631, 912, 8450, 262, 333, 24202, 9876, 10439, 18185, 6651, 692, 1325, 11220, 547, 281, 5231, 476, 272, 20166, 288, 269, 274, 269, 15233, 3601, 540, 4238, 607, 2994, 547, 1039, 543, 10208, 269, 476, 272, 20166, 288, 269, 277, 269, 5410, 543, 10208, 1369, 476, 736, 267, 11744, 21711, 585, 1840, 543, 12408, 1369, 476, 1015, 269, 476, 272, 20166, 288, 269, 279, 269, 14419, 519, 7164, 2898, 1297, 538, 606, 1840, 610, 12408, 3830, 11341, 1614, 2898, 2338, 269, 476, 273, 20166, 288, 269, 273, 269, 12071, 1836, 1039, 543, 10208, 1369, 476, 736, 1210, 2790, 2994, 269, 273, 1635, 1439, 540, 6103, 476, 273, 267, 917, 689, 3965, 782, 18304, 540, 1079, 835, 18251, 2338, 269, 476, 273, 12991, 6630, 269, 276, 269, 12071, 1836, 1039, 543, 10208, 1369, 476, 1911, 1210, 2994, 1759, 593, 1747, 1871, 267, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 1840, 543, 12408, 269, 476, 273, 12991, 6630, 269, 277, 269, 5410, 909, 547, 2185, 1079, 18251, 2338, 1210, 2994, 1759, 593, 1747, 1871, 543, 3601, 540, 4238, 269, 476, 274, 20166, 288, 269, 272, 269, 11328, 13133, 2472, 540, 2898, 2338, 269, 476, 274, 20166, 288, 269, 273, 269, 19873, 2898, 5991, 3784, 9889, 1801, 540, 2898, 2338, 269, 476, 274, 20166, 288, 269, 275, 269, 14419, 519, 7164, 2898, 1297, 538, 513, 8691, 610, 6498, 3830, 11341, 1614, 2898, 2338, 269, 476, 274, 12991, 6630, 269, 273, 269, 12071, 1836, 1039, 543, 10208, 1369, 476, 1911, 271, 1210, 2994, 543, 6620, 1759, 593, 1747, 1871, 267, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 1840, 543, 12408, 269, 476, 274, 12991, 6630, 269, 274, 269, 25092, 835, 1700, 323, 13424, 2898, 2338, 676, 23385, 540, 476, 1015, 538, 519, 2039, 476, 1015, 1700, 3445, 630, 324, 3052, 1421, 476, 280, 6398, 476, 3199, 267, 476, 276, 6398, 476, 2568, 264, 1210, 2994, 1759, 593, 1747, 1871, 543, 3601, 540, 4238, 269, 476, 275, 20166, 288, 269, 272, 269, 19873, 513, 8691, 3830, 607, 513, 6476, 269, 476, 275, 12991, 6630, 269, 275, 269, 12071, 1836, 1039, 543, 10208, 3818, 18251, 2898, 2338, 1210, 519, 3044, 5690, 269, 476, 275, 12991, 6630, 269, 276, 269, 25092, 513, 2898, 1297, 540, 909, 547, 2185, 9704, 676, 513, 835, 18251, 2898, 1297, 267, 543, 9062, 1079, 1079, 18251, 2338, 267, 1210, 2994, 22372, 593, 1747, 1871, 543, 519, 3601, 540, 4238, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 476, 275, 12991, 6630, 269, 277, 269, 4855, 2898, 5991, 3784, 9889, 1801, 543, 2611, 10249, 609, 909, 547, 2185, 18251, 27993, 543, 835, 18251, 16975, 267, 1210, 2994, 1759, 593, 1747, 1871, 267, 519, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 8691, 543, 6498, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 476, 276, 12991, 6630, 269, 276, 269, 12071, 1836, 9062, 3818, 18251, 2898, 2338, 1210, 519, 3044, 5690, 269, 476, 276, 12991, 6630, 269, 277, 269, 4855, 2898, 5991, 3784, 9889, 1801, 540, 2898, 2338, 609, 909, 547, 2185, 18251, 27993, 543, 1079, 18251, 16975, 267, 1210, 2994, 1759, 593, 1747, 1871, 267, 519, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 8691, 543, 6498, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 780, 1012, 1411, 2904, 4746, 6145, 13718, 3918, 26177, 590, 2793, 4916, 295, 5588, 10378, 692, 2421, 5295, 18800, 338, 454, 8450, 1412, 333, 262, 16534, 10439, 18185, 692, 275, 269, 271, 692, 6357, 1078, 593, 476, 272, 2689, 2020, 305, 520, 902, 17392, 692, 1892, 476, 276, 25578, 692, 263, 271, 2020, 1892, 476, 275, 25578, 692, 263, 272, 2020, 1892, 476, 274, 25578, 692, 263, 271, 2020, 1892, 476, 273, 25578, 692, 263, 271, 2020, 1892, 476, 272, 25578, 692, 263, 271, 2020, 18800, 539, 676, 476, 272, 6075, 692, 11514, 2452, 532, 2689, 476, 272, 692, 275, 269, 271, 692, 928, 520, 2856, 267, 4159, 1223, 581, 1732, 692, 5228, 700, 2378, 599, 8291, 267, 2910, 692, 3682, 338, 692, 8256, 692, 16032, 21964, 692, 1892, 5851, 454, 1892, 3427, 692, 296, 2648, 602, 519, 4159, 2982, 513, 3898, 2147, 547, 875, 3214, 1451, 2979, 269, 634, 2338, 593, 519, 4159, 616, 6094, 267, 2705, 267, 543, 2182, 547, 1294, 8259, 596, 2811, 1360, 2673, 547, 519, 5496, 780, 1892, 3143, 692, 11514, 2452, 532, 2689, 476, 272, 0, 258, 5729, 476, 276, 13174, 7420, 692, 2414, 581, 2111, 547, 1265, 782, 519, 7399, 585, 19280, 17447, 692, 272, 269, 1215, 1082, 2009, 8918, 2338, 666, 596, 1118, 1210, 891, 9704, 2496, 3519, 14259, 6493, 1384, 2791, 1590, 946, 1142, 7857, 2899, 780, 2791, 3112, 946, 1022, 9704, 811, 982, 2899, 780, 763, 2338, 1590, 723, 476, 273, 8918, 4025, 780, 273, 269, 1879, 596, 723, 1336, 782, 519, 7399, 267, 2322, 707, 17447, 538, 2450, 1931, 780, 8855, 547, 581, 9836, 865, 596, 1810, 1406, 10956, 610, 4413, 1022, 7399, 780, 294, 266, 307, 692, 7312, 2338, 666, 723, 607, 1082, 610, 607, 1906, 8918, 4025, 607, 596, 3442, 780, 1012, 476, 1691, 4555, 593, 968, 17413, 476, 276, 13174, 7420, 10640, 272, 269, 654, 1690, 573, 645, 1143, 1695, 692, 296, 723, 2944, 1250, 13004, 4161, 543, 12758, 621, 538, 1250, 6780, 1433, 780, 273, 269, 13259, 338, 534, 692, 9032, 274, 269, 274, 454, 280, 4391, 269, 274, 454, 280, 3451, 269, 278, 454, 8064, 274, 269, 274, 454, 278, 4375, 269, 274, 454, 278, 3451, 269, 280, 454, 4375, 278, 269, 274, 454, 4391, 280, 269, 274, 454, 26552, 269, 278, 454, 29876, 269, 280, 454, 4375, 278, 269, 274, 454, 4391, 280, 269, 274, 454, 26552, 269, 278, 454, 29876, 269, 280, 454, 9032, 269, 3451, 454, 11152, 269, 10463, 454, 11152, 269, 4391, 454, 8064, 269, 3451, 454, 10463, 269, 11152, 454, 10463, 269, 4375, 454, 4375, 269, 10463, 454, 4375, 269, 4391, 454, 4391, 269, 11152, 454, 4391, 269, 4375, 454, 3451, 269, 8064, 454, 3451, 269, 9032, 454, 4375, 269, 10463, 454, 4375, 269, 4391, 454, 4391, 269, 11152, 454, 4391, 269, 4375, 454, 3451, 269, 8064, 454, 3451, 269, 9032, 454, 280, 269, 278, 3451, 454, 280, 269, 32699, 454, 280, 269, 29876, 454, 278, 269, 280, 3451, 594, 723, 2944, 621, 454, 278, 269, 4375, 274, 269, 898, 538, 1250, 6780, 1433, 607, 649, 3580, 454, 278, 269, 4375, 274, 454, 278, 269, 26552, 454, 274, 269, 9032, 274, 454, 274, 269, 8064, 274, 454, 274, 269, 4391, 280, 454, 274, 269, 4375, 278, 454, 274, 269, 9032, 274, 454, 274, 269, 8064, 274, 454, 274, 269, 4391, 280, 454, 274, 269, 4375, 278, 692, 1892, 6428, 534, 26588, 604, 692, 29876, 280, 692, 1892, 13259, 338, 534, 692, 296, 666, 711, 7227, 11489, 14182, 1317, 538, 938, 7180, 10198, 14182, 649, 786, 1265, 856, 945, 814, 4465, 519, 454, 1492, 15626, 13004, 4161, 16101, 1547, 1924, 608, 1243, 666, 711, 7227, 780, 1892, 13259, 338, 534, 692, 14188, 596, 1360, 1454, 585, 519, 13004, 16101, 692, 274, 269, 667, 3530, 712, 2806, 6511, 692, 296, 6557, 2469, 547, 798, 621, 855, 594, 6557, 711, 8380, 621, 593, 519, 5816, 1317, 1004, 666, 5299, 780, 1892, 654, 1690, 573, 645, 1143, 1695, 692, 1889, 1932, 1004, 1223, 5299, 269, 594, 723, 588, 1563, 1250, 13004, 4161, 269, 1775, 993, 3206, 875, 547, 2482, 621, 856, 563, 18737, 264, 32473, 2020, 302, 330, 2322, 538, 707, 6780, 1433, 780, 275, 269, 8621, 345, 1695, 16679, 692, 16031, 5062, 23042, 267, 732, 596, 16965, 547, 798, 476, 272, 31389, 267, 273, 31389, 267, 274, 31389, 543, 476, 275, 31389, 2496, 1892, 670, 1380, 664, 744, 3405, 692, 9032, 274, 269, 274, 454, 280, 4391, 269, 274, 454, 280, 3451, 269, 278, 454, 8064, 274, 269, 274, 454, 278, 4375, 269, 274, 454, 278, 3451, 269, 280, 454, 4375, 278, 269, 274, 454, 4391, 280, 269, 274, 454, 26552, 269, 278, 454, 29876, 269, 280, 454, 4375, 278, 269, 274, 454, 4391, 280, 269, 274, 454, 26552, 269, 278, 454, 29876, 269, 280, 454, 9032, 269, 3451, 454, 11152, 269, 10463, 454, 11152, 269, 4391, 454, 8064, 269, 3451, 454, 10463, 269, 11152, 454, 10463, 269, 4375, 454, 4375, 269, 10463, 454, 4375, 269, 4391, 454, 4391, 269, 11152, 454, 4391, 269, 4375, 454, 3451, 269, 8064, 454, 3451, 269, 9032, 454, 4375, 269, 10463, 454, 4375, 269, 4391, 454, 4391, 269, 11152, 454, 4391, 269, 4375, 454, 3451, 269, 8064, 454, 3451, 269, 9032, 454, 280, 269, 278, 3451, 454, 280, 269, 32699, 454, 280, 269, 29876, 454, 278, 269, 280, 3451, 454, 278, 269, 4375, 274, 454, 278, 269, 26552, 454, 274, 269, 9032, 274, 454, 274, 269, 8064, 274, 454, 274, 269, 4391, 280, 454, 274, 269, 4375, 278, 454, 274, 269, 9032, 274, 454, 274, 269, 8064, 274, 454, 274, 269, 4391, 280, 454, 274, 269, 4375, 278, 454, 3451, 269, 9032, 692, 1892, 808, 15966, 23042, 692, 302, 3405, 267, 9684, 596, 585, 707, 2022, 269, 1717, 267, 596, 941, 4280, 547, 2347, 713, 538, 519, 1394, 540, 707, 6780, 1433, 865, 1004, 1810, 1406, 5299, 596, 256, 1879, 596, 2347, 713, 538, 707, 6780, 1433, 267, 5225, 2119, 547, 2953, 707, 12161, 2439, 1892, 808, 15966, 23042, 692, 5649, 519, 10148, 8621, 345, 1695, 269, 1411, 616, 717, 266, 307, 865, 991, 547, 1246, 519, 5528, 780, 276, 269, 30277, 4053, 320, 692, 9032, 274, 269, 274, 454, 280, 4391, 269, 274, 454, 280, 3451, 269, 278, 454, 8064, 274, 269, 274, 454, 278, 4375, 269, 274, 454, 278, 3451, 269, 280, 454, 4375, 278, 269, 274, 454, 4391, 280, 269, 274, 454, 26552, 269, 278, 454, 29876, 269, 280, 454, 4375, 278, 269, 274, 454, 4391, 280, 269, 274, 454, 26552, 269, 278, 454, 29876, 269, 280, 454, 9032, 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, 4407, 621, 568, 2653, 547, 1205, 16397, 609, 2258, 18356, 267, 1934, 616, 513, 1906, 2081, 602, 596, 666, 948, 533, 6680, 13687, 7639, 543, 8853, 2336, 21946, 3000, 7048, 593, 3579, 267, 2973, 1216, 547, 581, 2111, 547, 7639, 269, 8347, 543, 18359, 607, 1454, 1216, 607, 596, 666, 676, 1210, 621, 838, 2130, 569, 910, 1919, 899, 10156, 29636, 543, 1447, 15989, 14450, 563, 24965, 576, 2659, 28610, 454, 2252, 596, 3165, 593, 519, 5032, 610, 3548, 13687, 267, 1589, 827, 4227, 519, 1297, 540, 3165, 596, 1832, 610, 3548, 269, 3683, 325, 5109, 666, 581, 513, 2101, 3390, 609, 13687, 13632, 950, 2944, 16789, 569, 269, 25968, 20363, 4867, 723, 519, 1072, 5006, 5095, 538, 5375, 3345, 3013, 543, 616, 519, 1699, 1034, 4264, 13687, 3903, 256, 595, 2255, 543, 5305, 950, 13736, 5265, 666, 581, 513, 1390, 1259, 547, 2972, 942, 593, 519, 1216, 1247, 12145, 707, 5222, 593, 13687, 13632, 563, 19400, 2659, 19243, 338, 2336, 6826, 13533, 540, 519, 6464, 543, 28052, 757, 596, 946, 538, 1554, 547, 1554, 1272, 269, 10705, 1018, 4422, 1524, 7622, 28368, 543, 7088, 28368, 7475, 909, 2047, 538, 13687, 7226, 269, 2598, 2821, 19100, 2336, 19013, 13687, 543, 24659, 19349, 2516, 616, 12225, 1227, 896, 325, 24962, 1247, 513, 2603, 540, 2724, 1285, 320, 658, 2041, 585, 7414, 20363, 27264, 4991, 13615, 909, 538, 7245, 269, 6333, 3478, 3238, 609, 707, 2199, 2146, 11058, 30987, 610, 6908, 1832, 619, 1895, 256, 0, 4942, 1301, 2329, 6713, 10046, 630, 308, 7876, 11314, 12810, 994, 763, 1184, 5956, 950, 519, 26849, 11392, 513, 13310, 689, 519, 3461, 269, 634, 13310, 568, 1287, 20240, 609, 519, 1095, 21564, 10629, 547, 2327, 922, 14496, 269, 1403, 519, 13310, 568, 16363, 4570, 267, 519, 1184, 5170, 609, 519, 26849, 7006, 14819, 519, 6646, 547, 519, 3461, 269, 1403, 519, 13310, 568, 711, 4570, 267, 519, 1184, 8371, 1055, 543, 519, 13310, 568, 15653, 267, 609, 519, 3461, 1373, 5483, 9935, 563, 5475, 519, 6646, 568, 7006, 10234, 267, 519, 3461, 781, 8569, 568, 9268, 269, 1403, 519, 8569, 568, 6190, 267, 519, 1184, 5170, 609, 21130, 519, 3461, 781, 5638, 269, 1403, 519, 8569, 568, 711, 6190, 267, 519, 1184, 8371, 1055, 543, 519, 26849, 13668, 3606, 8569, 689, 519, 3461, 563, 1103, 6252, 609, 4393, 8569, 543, 21130, 3461, 5638, 267, 519, 26849, 949, 849, 2132, 1022, 30694, 6646, 547, 6006, 563, 5629, 519, 3461, 781, 5638, 723, 1044, 8242, 267, 519, 1184, 568, 6192, 563, 3721, 338, 540, 519, 1184, 912, 268, 25547, 633, 13310, 689, 3461, 454, 268, 7638, 1518, 13310, 609, 10629, 454, 268, 2598, 335, 1619, 6646, 547, 3461, 454, 268, 6713, 8569, 689, 3461, 454, 268, 22352, 3461, 5638, 454, 268, 1234, 915, 13310, 543, 1217, 3461, 454, 268, 32369, 3606, 8569, 689, 3461, 454, 268, 17776, 30694, 6646, 547, 6006, 454, 763, 1184, 568, 4330, 1210, 891, 772, 7876, 11314, 12810, 3693, 2010, 281, 3355, 6843, 267, 2962, 267, 3375, 267, 23643, 267, 6443, 267, 543, 2534, 3803, 6843, 269, 634, 2609, 616, 4448, 1210, 519, 1852, 8928, 269, 0, 1103, 2694, 540, 3624, 267, 513, 12675, 10980, 543, 3002, 24859, 22314, 11288, 543, 32394, 2504, 454, 4415, 2949, 9271, 540, 1472, 1269, 17734, 5479, 630, 2181, 2365, 1032, 1269, 17168, 5479, 264, 543, 1202, 3293, 9271, 540, 10199, 1269, 6344, 5479, 630, 1492, 1482, 607, 538, 519, 3105, 1032, 1070, 476, 1708, 273, 26082, 519, 2487, 2196, 540, 1296, 609, 1164, 9271, 563, 14454, 9271, 941, 2673, 547, 519, 3328, 585, 519, 2063, 2947, 1296, 267, 1247, 1202, 3293, 9271, 941, 3648, 1657, 519, 3328, 540, 1269, 9032, 5479, 269, 5637, 2067, 543, 1480, 14001, 2916, 9979, 941, 1713, 10256, 267, 2059, 609, 519, 11931, 2208, 540, 23927, 693, 1981, 563, 295, 584, 13606, 27950, 729, 519, 1034, 14427, 2680, 540, 519, 1032, 543, 519, 2034, 1034, 14427, 2475, 2244, 6420, 532, 19996, 538, 1686, 267, 4929, 606, 6059, 1269, 2568, 5479, 538, 6811, 563, 2108, 10521, 2188, 1058, 581, 6854, 538, 2247, 950, 6236, 519, 476, 1708, 273, 2067, 9568, 5515, 2223, 6941, 21321, 560, 681, 879, 577, 267, 12751, 8693, 26831, 693, 22540, 1234, 269, 968, 20058, 267, 649, 616, 7680, 5487, 15281, 29823, 2175, 585, 519, 3791, 1032, 538, 513, 4737, 269, 901, 4679, 519, 10171, 540, 24377, 538, 3345, 3013, 267, 17160, 538, 5245, 267, 10980, 543, 3002, 30335, 538, 3624, 267, 543, 18219, 30734, 22856, 538, 2694, 540, 3162, 5607, 563, 2108, 4263, 519, 1482, 942, 267, 2916, 1689, 568, 512, 2056, 547, 2333, 4365, 26037, 267, 609, 519, 1267, 602, 519, 2360, 3006, 9148, 1142, 824, 3034, 2026, 807, 6261, 6680, 8185, 12936, 676, 2067, 12469, 454, 1103, 519, 5607, 6261, 6680, 3148, 267, 9271, 689, 2067, 12469, 2799, 547, 5111, 1269, 3583, 5479, 269, 6184, 3293, 9271, 9782, 547, 1472, 1269, 1015, 5479, 563, 2026, 538, 519, 2250, 267, 4853, 2213, 2477, 20039, 585, 513, 1164, 8167, 540, 1202, 3293, 9271, 269, 18766, 689, 519, 17160, 538, 5245, 267, 606, 13091, 538, 3567, 711, 2484, 689, 519, 3135, 540, 519, 476, 1001, 272, 1677, 327, 18602, 13091, 729, 519, 9568, 609, 519, 5207, 1202, 3293, 9271, 538, 519, 3148, 563, 763, 844, 820, 1185, 513, 9588, 540, 476, 278, 269, 275, 267, 2687, 547, 808, 7246, 630, 297, 3253, 25561, 1670, 10837, 1070, 543, 3361, 2949, 9271, 540, 1269, 279, 269, 279, 5479, 267, 540, 799, 1269, 273, 269, 279, 5479, 729, 1202, 3293, 563, 23562, 10679, 1296, 3516, 267, 513, 1454, 6793, 13091, 15427, 513, 14042, 23329, 543, 6038, 3361, 519, 30738, 2313, 9874, 6046, 9568, 269, 769, 2474, 540, 2949, 9271, 267, 713, 1032, 779, 13091, 729, 519, 2034, 21057, 31586, 2067, 9568, 538, 519, 5607, 6261, 6680, 3148, 1310, 519, 17160, 538, 9031, 563, 1103, 1082, 8320, 267, 9568, 9271, 538, 3384, 2477, 538, 5607, 616, 3592, 11207, 796, 1231, 3293, 269, 2201, 519, 1641, 540, 519, 3665, 2883, 4539, 540, 2067, 12469, 538, 25013, 2477, 899, 9031, 267, 21321, 560, 681, 879, 577, 1185, 713, 547, 1039, 912, 2108, 289, 21392, 6604, 543, 2038, 9963, 1949, 1590, 3565, 547, 5355, 4027, 585, 1004, 269, 769, 1840, 267, 519, 13809, 543, 28100, 8750, 8815, 693, 519, 30505, 2767, 2916, 21895, 538, 5527, 543, 519, 6820, 1744, 1752, 11036, 4843, 972, 991, 547, 581, 16425, 8045, 607, 14323, 7405, 563, 2108, 9827, 267, 11006, 267, 14931, 13180, 11033, 666, 948, 2149, 811, 1004, 1996, 519, 7525, 2883, 4539, 540, 12469, 3034, 1103, 3624, 267, 513, 1486, 26167, 3002, 24859, 543, 10980, 267, 609, 5210, 540, 936, 476, 4510, 9180, 538, 1082, 2694, 540, 519, 2197, 267, 3366, 547, 1216, 22520, 543, 7693, 14286, 269, 634, 1216, 1377, 538, 519, 18708, 339, 2763, 267, 519, 13074, 543, 17215, 1034, 1271, 5757, 538, 519, 2197, 267, 973, 17660, 3648, 267, 607, 1705, 519, 2157, 538, 1082, 824, 8933, 543, 23854, 563, 1103, 930, 2127, 267, 11288, 729, 17735, 543, 519, 5201, 6556, 689, 1883, 32394, 10473, 8593, 20427, 563, 15703, 1804, 4853, 14078, 1185, 547, 17303, 7080, 754, 2504, 269, 4340, 547, 11315, 9193, 267, 519, 3441, 267, 1519, 9271, 689, 7693, 14286, 267, 1223, 581, 538, 519, 4571, 1606, 17532, 18251, 17542, 267, 12303, 9039, 540, 799, 786, 723, 1044, 1202, 3293, 563, 20458, 1689, 543, 4432, 715, 3626, 5397, 2101, 6360, 2621, 454, 763, 1032, 779, 2034, 21057, 31586, 543, 6574, 19493, 9568, 729, 4049, 14700, 538, 9031, 4611, 689, 2594, 31771, 30734, 11811, 269, 769, 519, 3923, 540, 4864, 267, 11811, 972, 729, 1063, 2947, 543, 5722, 2053, 18219, 982, 8912, 563, 10907, 5120, 730, 27224, 15835, 607, 513, 1267, 540, 519, 1164, 5210, 3648, 2799, 519, 14700, 269, 2311, 2547, 476, 272, 267, 10384, 1004, 941, 7166, 269, 6034, 9271, 616, 6059, 547, 581, 693, 2547, 1269, 1428, 5479, 1107, 606, 11999, 2179, 2016, 519, 2450, 540, 519, 2197, 779, 12654, 563, 29909, 4986, 729, 1202, 3293, 543, 9118, 1004, 4503, 782, 741, 28378, 269, 12824, 7447, 602, 519, 8515, 540, 606, 2680, 540, 713, 2186, 814, 2907, 2799, 676, 3368, 1317, 540, 2916, 1689, 267, 543, 602, 621, 786, 3136, 547, 4473, 538, 2104, 563, 2690, 1202, 20445, 267, 519, 2034, 21057, 31586, 2582, 2067, 9568, 538, 476, 1708, 273, 729, 14700, 538, 519, 22703, 540, 5245, 538, 5988, 543, 4728, 563, 8170, 519, 2949, 9271, 540, 5111, 1269, 277, 269, 277, 5479, 267, 1175, 896, 1269, 275, 5479, 729, 1202, 3293, 269, 769, 5239, 267, 8731, 1370, 658, 11811, 1586, 8507, 538, 29070, 14700, 538, 519, 22703, 540, 519, 2197, 269, 1717, 267, 9271, 941, 711, 607, 4049, 607, 1346, 693, 519, 1376, 540, 519, 1032, 269, 15788, 267, 17160, 538, 5245, 3361, 9271, 540, 1269, 279, 269, 272, 5479, 2063, 1032, 267, 540, 799, 1269, 275, 269, 278, 5479, 729, 1202, 3293, 563, 20332, 9979, 1404, 606, 1271, 1909, 538, 8241, 6360, 1981, 267, 607, 8731, 1370, 658, 11811, 568, 1454, 811, 2693, 1282, 5487, 15281, 29823, 1296, 269, 1717, 267, 3173, 1631, 3494, 602, 2916, 1689, 568, 10123, 12018, 519, 8515, 540, 519, 11811, 563, 763, 1482, 568, 3020, 585, 17382, 18394, 543, 3002, 30335, 267, 799, 4043, 547, 2049, 538, 4432, 15281, 25123, 1296, 267, 519, 6587, 5123, 547, 5487, 15281, 29823, 269, 0, 7069, 1935, 547, 23468, 2542, 568, 547, 2327, 513, 2875, 814, 13654, 2542, 1983, 1354, 10771, 21711, 543, 8223, 269, 769, 3592, 782, 2665, 267, 513, 2875, 945, 814, 8373, 1620, 1018, 779, 1044, 1224, 19330, 519, 2702, 547, 1232, 1712, 563, 20091, 23468, 5956, 609, 606, 4879, 540, 519, 2875, 779, 1983, 543, 1287, 3992, 4566, 616, 2919, 1759, 2390, 519, 1239, 6394, 563, 763, 3356, 687, 540, 2542, 1983, 666, 581, 24298, 607, 5205, 912, 1892, 13093, 1670, 1983, 971, 607, 6586, 2719, 267, 8840, 5220, 883, 1913, 267, 8840, 1913, 883, 24424, 267, 8840, 1913, 543, 24424, 883, 4992, 267, 543, 4657, 4992, 547, 1118, 1007, 1913, 3248, 1892, 3280, 1606, 28248, 2078, 540, 519, 2596, 543, 4359, 9479, 454, 1892, 3498, 540, 18551, 1983, 1247, 2542, 2835, 543, 2984, 454, 1892, 6863, 11601, 454, 296, 946, 513, 3099, 540, 2238, 543, 3756, 547, 12927, 1565, 269, 7689, 4566, 616, 14661, 1759, 2390, 513, 2875, 779, 17431, 540, 1983, 563, 12234, 267, 2094, 1382, 814, 3254, 513, 2178, 9756, 1063, 13002, 543, 2542, 267, 1697, 4484, 5250, 568, 13736, 267, 952, 2877, 563, 7069, 1935, 547, 2979, 23468, 568, 547, 2327, 513, 2875, 814, 606, 1620, 540, 1142, 1523, 610, 5578, 267, 711, 513, 1305, 540, 3652, 543, 5773, 547, 1246, 267, 610, 544, 26937, 9582, 543, 30053, 547, 973, 924, 269, 594, 1397, 875, 1142, 1007, 1523, 13462, 547, 1346, 5892, 4121, 269, 594, 3494, 1565, 1058, 581, 1187, 267, 865, 594, 6451, 3756, 8164, 2009, 563, 13043, 23468, 5956, 609, 606, 4879, 540, 519, 2875, 779, 1983, 543, 1287, 3992, 4566, 609, 606, 8561, 593, 1483, 1158, 3156, 616, 2919, 1759, 2390, 519, 1239, 6394, 563, 763, 11144, 540, 10026, 543, 1647, 1153, 2979, 1983, 666, 581, 24298, 607, 912, 1892, 2596, 6746, 2329, 1983, 971, 607, 10203, 585, 2072, 543, 23651, 543, 1747, 1871, 454, 1892, 1840, 543, 12408, 454, 1892, 8691, 543, 6498, 454, 1892, 12753, 543, 14354, 3347, 454, 1892, 7787, 2338, 454, 1892, 5276, 7223, 454, 1892, 5276, 3252, 454, 2252, 513, 2875, 814, 1713, 5578, 10616, 267, 594, 960, 593, 17117, 540, 2035, 689, 3105, 9344, 269, 1403, 519, 2875, 814, 513, 1434, 1620, 540, 1034, 540, 519, 2979, 689, 4505, 9344, 267, 594, 6445, 538, 1022, 10616, 1247, 2324, 593, 519, 1699, 3446, 779, 1983, 563, 9961, 1169, 23468, 8400, 267, 594, 6895, 1620, 543, 4188, 4245, 543, 3137, 607, 2877, 563, 296, 4312, 1044, 23468, 2542, 543, 2979, 2094, 476, 1220, 278, 269, 594, 4312, 1044, 23468, 2228, 2094, 476, 1001, 278, 865, 3845, 1565, 568, 711, 1007, 547, 803, 563, 2026, 513, 1126, 1250, 1920, 1224, 547, 803, 782, 519, 942, 269, 594, 8057, 909, 15962, 547, 1224, 543, 594, 1869, 798, 269, 1306, 513, 2542, 20131, 267, 594, 1205, 547, 2671, 609, 1053, 519, 10508, 538, 2542, 513, 1390, 1650, 676, 4543, 873, 1831, 811, 5578, 995, 3988, 563, 13043, 1705, 711, 2097, 3362, 547, 803, 267, 865, 594, 1174, 519, 17140, 1053, 1745, 950, 789, 1175, 1810, 1405, 1174, 1018, 789, 616, 1565, 538, 1362, 269, 1306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1591, 1098, 17852, 585, 5756, 269, 1809, 950, 3744, 4121, 875, 547, 4894, 6565, 2281, 689, 1480, 24201, 538, 18485, 10761, 543, 15784, 1671, 4240, 563, 14257, 476, 1691, 267, 5788, 25745, 1591, 1382, 3091, 1390, 9153, 585, 1620, 2596, 6127, 540, 1480, 1646, 543, 15285, 267, 607, 1134, 607, 519, 4126, 585, 1007, 5574, 585, 3676, 971, 607, 3987, 267, 11983, 10260, 5945, 267, 19576, 779, 2068, 267, 543, 26961, 658, 1102, 541, 794, 269, 13772, 3381, 5788, 21150, 787, 4577, 6565, 2281, 2709, 4126, 585, 1007, 11257, 267, 855, 741, 946, 538, 1382, 814, 1044, 3905, 569, 23503, 563, 17843, 2477, 723, 6074, 547, 10038, 25782, 6565, 1591, 269, 634, 6565, 1591, 15784, 568, 519, 7156, 540, 519, 7881, 540, 1382, 5473, 519, 1646, 267, 946, 267, 543, 9552, 540, 1480, 24201, 563, 7197, 4122, 267, 713, 15784, 6212, 593, 25782, 6565, 11465, 7266, 516, 2593, 782, 6565, 1591, 1382, 3322, 519, 1480, 24201, 563, 2690, 1383, 267, 2937, 6565, 2281, 267, 993, 333, 8438, 6565, 2281, 267, 543, 13251, 726, 584, 760, 582, 550, 6565, 2281, 798, 711, 4125, 2870, 267, 1210, 267, 610, 21006, 1480, 269, 3502, 1152, 568, 6565, 1591, 1382, 5683, 267, 594, 3494, 621, 568, 1898, 538, 1931, 547, 3801, 547, 1265, 519, 4267, 543, 1761, 524, 999, 547, 524, 23774, 1782, 3676, 799, 14816, 2550, 540, 741, 15683, 543, 4126, 563, 2171, 1058, 711, 581, 2322, 1055, 676, 519, 31868, 2044, 9386, 7440, 543, 3972, 538, 5177, 1850, 2812, 566, 602, 14998, 971, 1382, 1369, 17401, 6417, 6302, 6185, 5877, 0, 1432, 11505, 1797, 547, 803, 737, 7159, 14979, 910, 9120, 519, 4214, 540, 513, 3659, 568, 513, 1268, 7247, 835, 6487, 267, 15055, 267, 543, 3972, 24946, 952, 596, 10150, 713, 1557, 269, 769, 519, 1739, 1557, 267, 11331, 968, 25152, 2828, 2223, 513, 2875, 3957, 21473, 322, 710, 905, 14852, 11225, 11505, 1294, 952, 596, 666, 2697, 1200, 1292, 1448, 607, 596, 1224, 1200, 1557, 269, 1548, 1281, 11505, 1611, 11505, 568, 2356, 11303, 676, 2318, 1913, 899, 14017, 267, 11014, 267, 543, 4313, 891, 616, 3622, 519, 1034, 1455, 2609, 1004, 269, 5131, 3594, 689, 14734, 677, 3949, 1260, 281, 11505, 11505, 267, 3989, 689, 1357, 3122, 779, 8675, 607, 267, 519, 1533, 540, 1373, 2828, 267, 610, 513, 7874, 4743, 519, 2034, 563, 10387, 3205, 779, 1557, 593, 11505, 568, 835, 11505, 676, 678, 19563, 9267, 4777, 900, 3205, 6138, 1557, 713, 4661, 666, 1152, 581, 12306, 676, 4466, 519, 4514, 2495, 538, 269, 6435, 995, 6780, 23456, 585, 3237, 2495, 540, 11505, 1557, 2239, 1106, 1557, 4444, 2852, 4574, 24067, 9769, 269, 476, 2537, 795, 2317, 476, 1001, 272, 4214, 540, 513, 3659, 1018, 568, 513, 1434, 3659, 1018, 568, 513, 4214, 540, 513, 3659, 1082, 1004, 723, 2828, 602, 789, 666, 1293, 593, 972, 11263, 563, 14240, 1557, 11505, 3594, 11505, 267, 3989, 689, 1357, 3122, 781, 8675, 607, 267, 519, 1533, 540, 1373, 2828, 267, 610, 513, 7874, 4743, 2828, 267, 593, 519, 824, 1688, 269, 14886, 1222, 4214, 1557, 11505, 1557, 910, 476, 9083, 277, 1913, 11505, 11505, 267, 3989, 689, 1357, 3122, 779, 8675, 607, 267, 519, 1533, 540, 1373, 2828, 269, 634, 3020, 540, 1557, 11505, 2495, 1382, 4574, 538, 2069, 10851, 2110, 1557, 593, 11668, 1554, 538, 31448, 2407, 7260, 2228, 12445, 964, 4930, 269, 6153, 2852, 23504, 1557, 4214, 540, 11505, 1557, 4444, 6476, 4186, 2858, 1557, 19696, 513, 2165, 1957, 269, 634, 2495, 540, 3020, 11505, 538, 513, 2486, 899, 2221, 1082, 1004, 630, 974, 839, 2523, 264, 3494, 555, 563, 288, 4583, 4216, 518, 267, 544, 7795, 13758, 620, 328, 267, 2899, 1767, 267, 968, 325, 12188, 1222, 568, 711, 1945, 596, 1451, 538, 1153, 855, 952, 596, 10093, 1405, 4121, 519, 2495, 540, 11505, 267, 596, 2731, 10093, 269, 9365, 1000, 7867, 24440, 266, 533, 15517, 5532, 514, 1642, 588, 18443, 1575, 517, 512, 3518, 331, 337, 14703, 2648, 713, 8292, 269, 19257, 3554, 1357, 3122, 781, 8675, 11225, 11505, 607, 519, 1533, 540, 1373, 2828, 519, 4214, 540, 11505, 568, 607, 16148, 543, 3309, 607, 1004, 2429, 519, 1158, 269, 1403, 596, 1413, 538, 519, 8675, 621, 786, 2995, 596, 602, 519, 4214, 540, 11505, 568, 513, 1533, 540, 1373, 2828, 7874, 6935, 267, 610, 13613, 267, 547, 513, 1268, 267, 610, 269, 5441, 16075, 3594, 948, 4214, 1557, 593, 11505, 12031, 6268, 540, 519, 2164, 3075, 8213, 1557, 563, 23087, 281, 713, 1557, 3801, 553, 547, 5581, 4010, 1018, 13054, 513, 3659, 1018, 568, 519, 4214, 540, 513, 3659, 1082, 1004, 723, 2828, 602, 789, 666, 1293, 593, 585, 269, 14886, 1222, 267, 607, 6956, 1934, 24563, 267, 476, 2735, 278, 267, 968, 1492, 2495, 267, 1871, 267, 543, 11645, 540, 11505, 892, 1490, 520, 2006, 267, 803, 267, 476, 1960, 280, 267, 8188, 540, 9837, 281, 5697, 3594, 593, 269, 3367, 1650, 2648, 543, 11505, 630, 22967, 264, 676, 11014, 331, 913, 663, 327, 622, 630, 330, 987, 575, 926, 18372, 3738, 609, 476, 6321, 267, 11820, 14509, 349, 1272, 1510, 11505, 9625, 968, 325, 12188, 1222, 568, 513, 2027, 2186, 540, 269, 1323, 1557, 568, 267, 3622, 267, 513, 4062, 540, 1603, 602, 3947, 519, 2278, 781, 1378, 4661, 2443, 855, 519, 4214, 568, 22394, 267, 20718, 609, 1346, 540, 606, 2376, 267, 513, 30732, 2280, 267, 543, 563, 293, 12188, 1222, 568, 513, 2078, 540, 8994, 15754, 1063, 1004, 630, 7277, 272, 264, 11505, 3594, 281, 1101, 3126, 682, 653, 267, 5337, 864, 630, 3422, 277, 269, 14886, 1222, 3594, 11505, 972, 616, 1082, 3407, 1919, 538, 1272, 267, 855, 11505, 949, 581, 835, 540, 519, 1034, 519, 4214, 540, 513, 3659, 267, 543, 11505, 269, 17593, 338, 540, 943, 323, 5098, 538, 2069, 4214, 540, 11505, 1557, 1382, 4574, 538, 2780, 2257, 1557, 593, 1250, 2832, 538, 1272, 585, 1362, 476, 279, 269, 13751, 1944, 18290, 1557, 4214, 540, 11505, 1557, 18544, 5098, 1382, 4967, 3919, 10464, 1876, 3594, 593, 16324, 30675, 269, 634, 1655, 6780, 1603, 3028, 4214, 540, 11505, 1557, 2228, 948, 609, 8051, 6780, 2688, 3594, 2165, 4574, 269, 0, 20091, 25777, 13002, 676, 12972, 540, 4484, 2542, 25777, 1688, 268, 1603, 568, 1369, 519, 538, 2542, 25777, 13002, 676, 12972, 540, 269, 476, 1001, 279, 268, 5400, 268, 2537, 875, 547, 1224, 2025, 13002, 3040, 1620, 1018, 4484, 540, 519, 9904, 519, 25777, 7097, 4564, 3040, 1620, 519, 1913, 267, 10259, 11783, 6739, 9904, 972, 616, 476, 3451, 5022, 519, 2012, 2501, 689, 519, 2025, 1793, 822, 545, 2262, 1350, 698, 565, 385, 511, 267, 3540, 678, 11701, 1893, 3323, 17729, 538, 1603, 1282, 519, 12081, 563, 9558, 3175, 540, 25777, 538, 7005, 14377, 25777, 538, 7005, 2228, 543, 4647, 1631, 938, 1863, 6037, 1807, 547, 946, 1022, 942, 693, 1100, 5279, 269, 5071, 707, 1378, 31024, 609, 7366, 540, 31024, 4484, 532, 6163, 1711, 17174, 31024, 4484, 532, 267, 2025, 7005, 31024, 4484, 532, 267, 24349, 31024, 4484, 532, 267, 14228, 3122, 269, 476, 1001, 279, 268, 5400, 268, 2537, 4819, 29773, 3446, 476, 274, 543, 909, 25777, 1603, 3211, 1496, 842, 3174, 316, 1496, 2745, 762, 3211, 316, 2085, 12773, 782, 1453, 1020, 607, 2043, 269, 8281, 476, 11260, 2025, 25777, 1603, 4282, 6006, 6337, 585, 1863, 610, 5863, 569, 1970, 3928, 1007, 3755, 2972, 476, 2568, 260, 1055, 476, 10695, 267, 6858, 274, 267, 271, 4510, 6006, 6337, 2228, 563, 288, 5722, 4458, 6040, 267, 945, 814, 1152, 1044, 4857, 607, 513, 569, 1087, 320, 267, 729, 1065, 3234, 663, 539, 676, 693, 513, 737, 12436, 1153, 676, 1200, 4116, 585, 1603, 1200, 2012, 538, 25777, 1310, 1352, 5828, 538, 513, 269, 5269, 4190, 25777, 13002, 3211, 538, 7643, 1826, 5022, 910, 1913, 910, 2875, 2012, 910, 5220, 610, 5037, 543, 4585, 513, 25777, 1603, 4976, 2408, 269, 476, 1001, 278, 268, 4962, 268, 6187, 2025, 267, 25777, 737, 534, 10202, 1603, 666, 581, 1232, 760, 22363, 593, 16389, 519, 607, 1695, 328, 695, 12494, 684, 814, 6592, 519, 3003, 4605, 540, 519, 512, 338, 4157, 25702, 3165, 2344, 1354, 922, 269, 3371, 781, 519, 1686, 540, 13002, 621, 3096, 1793, 5896, 5022, 547, 4001, 8228, 267, 538, 1931, 585, 1453, 547, 5912, 811, 3362, 547, 25777, 1603, 269, 2422, 891, 3211, 547, 2259, 707, 25777, 13002, 2882, 782, 476, 2918, 5022, 267, 1519, 25777, 535, 267, 25777, 7117, 267, 543, 25777, 1990, 25777, 1603, 3211, 563, 1001, 276, 268, 6021, 268, 2420, 513, 5722, 4458, 6040, 8004, 3357, 1753, 609, 513, 711, 27940, 5991, 823, 5048, 593, 1200, 1362, 7084, 281, 3247, 1603, 707, 2012, 538, 25777, 596, 723, 1185, 1896, 21855, 269, 476, 280, 4458, 6040, 8004, 4535, 1510, 7916, 17993, 606, 8366, 585, 1200, 25777, 1603, 8666, 2707, 281, 3068, 1504, 2985, 3039, 321, 8175, 22344, 30028, 269, 595, 27641, 4484, 3239, 11718, 25777, 4484, 13944, 1257, 20536, 1711, 25777, 4484, 689, 1257, 547, 2592, 2228, 609, 938, 4484, 11718, 269, 476, 1220, 278, 268, 6021, 268, 2918, 3450, 25777, 538, 513, 2185, 1032, 2025, 952, 707, 23021, 723, 865, 1454, 9904, 1702, 270, 10277, 1145, 602, 596, 2811, 2111, 547, 1847, 5196, 25777, 1603, 11783, 595, 27641, 1603, 568, 2653, 593, 519, 1775, 1810, 1406, 1616, 1250, 737, 1342, 657, 2469, 998, 519, 2025, 5022, 610, 13746, 602, 737, 622, 543, 1775, 723, 689, 22594, 543, 1390, 3766, 8681, 18499, 563, 1001, 279, 268, 6734, 268, 866, 4647, 891, 1863, 13002, 23935, 267, 1519, 1863, 25777, 23935, 891, 4116, 23935, 948, 1053, 1451, 1312, 1820, 543, 25777, 1603, 269, 2755, 5528, 786, 948, 596, 2253, 1603, 538, 2025, 1922, 5831, 539, 25777, 267, 875, 547, 2328, 538, 2025, 6752, 539, 25777, 15600, 27362, 476, 1240, 267, 476, 1001, 279, 4179, 15545, 595, 27641, 1603, 2025, 7005, 2025, 7005, 9904, 23935, 11540, 593, 31914, 599, 267, 949, 476, 275, 628, 267, 476, 1001, 275, 693, 476, 280, 4343, 8666, 267, 25777, 1603, 2025, 7005, 2025, 7005, 9904, 23935, 11540, 593, 269, 15026, 2025, 1922, 5831, 539, 25777, 26627, 27664, 1299, 27608, 9904, 4484, 23296, 15078, 1863, 2025, 1922, 5831, 539, 25777, 23296, 15078, 547, 1820, 11453, 1315, 7097, 1315, 1289, 15572, 545, 563, 10955, 531, 633, 814, 3872, 3301, 585, 13004, 267, 2262, 1983, 267, 2542, 267, 10259, 543, 7005, 30842, 1633, 2413, 25777, 2511, 630, 336, 671, 264, 1923, 25777, 543, 4881, 1603, 23935, 585, 269, 1403, 25777, 1603, 568, 1100, 3476, 6026, 267, 786, 1004, 835, 1554, 581, 8572, 547, 1224, 519, 11156, 2025, 13002, 6163, 7005, 1923, 2542, 2025, 13002, 269, 476, 1001, 274, 268, 6860, 268, 1789, 1360, 1507, 17114, 540, 4079, 946, 25777, 585, 741, 1554, 3562, 6377, 1603, 1454, 540, 938, 2792, 568, 2944, 593, 513, 13691, 267, 543, 519, 1964, 568, 2944, 609, 1820, 563, 14188, 596, 865, 1454, 585, 519, 25777, 1603, 3640, 1250, 476, 273, 526, 17603, 946, 741, 1378, 4528, 267, 865, 713, 786, 581, 513, 1434, 24539, 281, 1346, 602, 723, 8799, 8228, 666, 1451, 25777, 269, 4107, 540, 721, 3314, 519, 2038, 10026, 1153, 2395, 540, 1603, 6044, 281, 16439, 14258, 267, 3515, 267, 543, 10580, 1577, 781, 1491, 513, 1413, 693, 1018, 25777, 563, 13981, 25777, 13002, 538, 3119, 1153, 568, 3214, 1185, 547, 1451, 621, 538, 519, 2025, 2395, 1210, 4050, 543, 13504, 25777, 1603, 1058, 581, 6026, 1317, 28069, 621, 269, 595, 27641, 1257, 11718, 713, 6037, 1807, 568, 9247, 10451, 27033, 1712, 25777, 270, 27771, 6698, 799, 18613, 5022, 689, 519, 32204, 9904, 630, 320, 267, 536, 267, 524, 11783, 4855, 543, 4688, 2093, 827, 25777, 23935, 593, 533, 15517, 1923, 1294, 811, 2093, 827, 16681, 13002, 267, 7168, 23935, 9904, 543, 13002, 9904, 6185, 5877, 2025, 25777, 1603, 319, 0, 305, 342, 7701, 1121, 20047, 21393, 9601, 678, 342, 7701, 6585, 18428, 547, 22632, 519, 476, 8517, 267, 1822, 1004, 855, 3832, 1042, 538, 476, 1960, 275, 267, 8015, 9880, 540, 519, 7178, 781, 18879, 32461, 281, 737, 698, 877, 781, 4633, 269, 3690, 5296, 540, 875, 666, 3706, 3757, 1049, 1143, 1291, 547, 10963, 1996, 8103, 267, 2112, 10963, 543, 21393, 630, 337, 342, 7701, 264, 910, 521, 560, 476, 736, 268, 273, 2944, 676, 281, 25942, 2088, 688, 26223, 630, 1556, 268, 274, 264, 875, 666, 16600, 5991, 1049, 1143, 1291, 547, 269, 2060, 519, 1379, 602, 2113, 846, 17771, 1185, 267, 646, 9415, 1583, 321, 3706, 3757, 1049, 1143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4311, 2187, 1038, 1820, 2891, 345, 6062, 6614, 257, 9239, 5035, 9906, 27456, 3205, 267, 313, 6062, 6614, 2187, 825, 6003, 815, 834, 22923, 4840, 825, 1293, 815, 476, 271, 454, 825, 6449, 16435, 1824, 1029, 815, 18011, 1029, 4067, 3299, 21507, 720, 10807, 476, 1948, 28859, 503, 494, 10254, 370, 14395, 508, 28032, 489, 7511, 31271, 508, 26233, 356, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 4008, 267, 2012, 267, 2085, 2187, 1038, 1948, 12287, 14857, 8181, 9191, 1345, 267, 4008, 994, 1038, 2706, 14061, 1029, 8181, 9191, 14054, 994, 1038, 1582, 14857, 4067, 815, 2012, 454, 1038, 1582, 14857, 720, 815, 2085, 454, 1038, 9906, 29644, 6834, 476, 272, 692, 825, 1219, 1820, 4311, 2187, 1038, 1820, 2891, 4067, 281, 4939, 338, 267, 2085, 281, 4939, 323, 257, 4939, 630, 1345, 14857, 4067, 267, 1582, 14857, 720, 11723, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 1582, 14857, 720, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 14857, 4067, 692, 825, 7711, 4067, 15630, 614, 454, 825, 1219, 2012, 4311, 267, 2012, 2187, 1038, 952, 568, 27349, 28442, 267, 1193, 2187, 2018, 6318, 28759, 2891, 4067, 1590, 581, 1193, 32405, 1038, 1582, 14857, 4067, 815, 2012, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1412, 22923, 1843, 28442, 815, 4939, 338, 264, 262, 4939, 1582, 20508, 692, 825, 1219, 1820, 21841, 11243, 4311, 2187, 1038, 12287, 20508, 272, 4311, 2020, 825, 6449, 516, 1440, 1029, 815, 6449, 1598, 1029, 7531, 604, 9906, 29644, 11203, 476, 271, 912, 825, 1820, 3488, 418, 369, 489, 13644, 499, 14035, 365, 420, 368, 354, 256, 5073, 12828, 912, 825, 536, 691, 815, 9906, 2891, 13200, 371, 2580, 1412, 289, 691, 3299, 476, 1015, 994, 825, 952, 9906, 29644, 11203, 476, 272, 912, 1038, 1820, 3488, 418, 369, 489, 13644, 499, 14035, 365, 420, 368, 354, 256, 5073, 825, 3116, 912, 1038, 561, 13453, 815, 9906, 2891, 13200, 371, 2580, 1412, 289, 691, 3299, 476, 1015, 994, 1038, 952, 9906, 29644, 11203, 476, 273, 912, 2018, 1820, 3488, 418, 369, 489, 13644, 499, 14035, 365, 420, 368, 354, 256, 5073, 1038, 3116, 912, 2018, 1820, 3488, 10743, 281, 3299, 9906, 29644, 994, 2018, 1820, 3488, 418, 369, 489, 13644, 499, 20881, 504, 13213, 485, 256, 262, 9239, 30700, 815, 9906, 2891, 13200, 371, 14824, 333, 2129, 322, 2580, 476, 2767, 994, 30700, 31428, 30800, 3698, 535, 333, 10031, 825, 1780, 7531, 2745, 263, 529, 27349, 6600, 333, 267, 2010, 12171, 4233, 13911, 4917, 2745, 263, 529, 27349, 263, 11274, 267, 2010, 11065, 16742, 514, 31262, 13911, 4917, 2745, 263, 529, 27349, 10857, 10033, 1535, 281, 1535, 267, 2010, 11482, 10033, 13911, 11723, 2745, 9230, 529, 27349, 9230, 343, 1341, 476, 272, 585, 1535, 538, 2039, 263, 271, 267, 476, 1015, 24270, 2010, 269, 17653, 1807, 13911, 4297, 2020, 2745, 5560, 597, 263, 30700, 11723, 258, 7003, 25913, 25622, 267, 14395, 508, 30522, 483, 420, 364, 481, 17958, 7511, 28098, 420, 365, 350, 7511, 1029, 6352, 1029, 25913, 25622, 454, 2745, 12759, 263, 30700, 11723, 258, 814, 3430, 337, 1205, 3430, 337, 1305, 3430, 337, 454, 13757, 3430, 337, 263, 30700, 267, 834, 16557, 5602, 1326, 3430, 337, 263, 30700, 267, 834, 16557, 2580, 476, 11025, 994, 258, 1305, 3430, 337, 263, 30700, 267, 834, 16557, 2580, 476, 6507, 9239, 2745, 263, 22923, 7456, 8475, 994, 22923, 7456, 8475, 815, 834, 325, 516, 4520, 4840, 2745, 263, 30700, 7456, 8475, 994, 258, 1642, 2875, 7456, 8475, 454, 258, 1820, 263, 30700, 7456, 8475, 2020, 1087, 815, 9906, 2891, 13200, 371, 2580, 834, 577, 517, 2580, 476, 2767, 994, 2745, 263, 1087, 994, 2745, 263, 1087, 20508, 2020, 1087, 31428, 21841, 11243, 3890, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 3698, 1292, 10031, 825, 715, 815, 703, 9272, 15405, 825, 952, 715, 4939, 476, 273, 2652, 476, 271, 912, 1038, 20735, 815, 630, 301, 270, 273, 8358, 301, 454, 825, 8640, 715, 4939, 476, 273, 2652, 476, 272, 912, 1038, 20735, 815, 16733, 301, 266, 272, 8358, 273, 8358, 301, 454, 825, 1820, 263, 753, 994, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 3698, 1292, 10031, 825, 2473, 267, 288, 815, 4786, 17301, 267, 6358, 14061, 20889, 15405, 825, 952, 2473, 2999, 589, 912, 1038, 1820, 3488, 271, 5073, 825, 3116, 912, 1038, 1820, 3488, 1015, 5073, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 3698, 1292, 10031, 825, 590, 815, 1193, 9272, 15405, 825, 9399, 815, 18358, 518, 6471, 12887, 518, 848, 12887, 323, 3195, 518, 12887, 323, 3195, 23300, 825, 585, 1775, 538, 9399, 912, 1038, 590, 815, 590, 18622, 2897, 9217, 10086, 5073, 825, 952, 7003, 22829, 264, 2652, 476, 271, 912, 1038, 1820, 3488, 312, 2464, 5073, 825, 3116, 912, 1038, 1820, 3488, 17472, 5073, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 594, 1616, 547, 948, 596, 1205, 16523, 14325, 296, 6557, 513, 3461, 267, 543, 594, 6557, 13110, 540, 7996, 4374, 547, 1294, 513, 10629, 630, 296, 2219, 1152, 23671, 31372, 1070, 20468, 827, 2564, 6959, 602, 4299, 803, 543, 1614, 1920, 2818, 543, 2731, 13110, 540, 519, 536, 1157, 1359, 543, 519, 6013, 602, 588, 6817, 1022, 6209, 6963, 269, 1109, 898, 568, 29832, 755, 532, 543, 796, 12677, 780, 763, 1657, 14512, 1966, 729, 12193, 676, 3168, 693, 1018, 649, 4769, 1406, 1616, 547, 1265, 1018, 649, 1705, 1616, 269, 1109, 594, 1810, 1406, 1616, 513, 5458, 3084, 7963, 269, 1109, 3371, 616, 476, 273, 4555, 281, 1109, 1439, 938, 10617, 267, 543, 15357, 513, 476, 3445, 260, 8589, 3454, 2557, 593, 1346, 609, 26038, 936, 8096, 274, 2929, 780, 296, 666, 2661, 609, 476, 3583, 10065, 0, 258, 10261, 948, 609, 6991, 2042, 623, 8867, 848, 692, 1892, 1535, 8421, 527, 274, 330, 454, 1103, 5758, 267, 519, 6643, 568, 827, 6991, 2042, 543, 519, 2243, 3322, 4466, 519, 6991, 540, 606, 1843, 2016, 922, 2527, 267, 3845, 267, 543, 4294, 3196, 269, 634, 3070, 3322, 1210, 519, 3830, 585, 960, 543, 15452, 1648, 547, 1265, 519, 6991, 563, 343, 8421, 527, 274, 330, 454, 23921, 948, 609, 6991, 2042, 256, 623, 8867, 848, 692, 1012, 14581, 15048, 692, 13480, 568, 849, 6027, 538, 808, 537, 956, 269, 1403, 513, 476, 273, 269, 6795, 4846, 1843, 7575, 513, 3845, 540, 476, 6321, 269, 280, 4699, 607, 513, 1267, 540, 476, 4343, 301, 540, 9087, 576, 269, 1215, 3728, 568, 519, 1843, 3001, 780, 2496, 1012, 634, 28055, 693, 513, 8827, 692, 296, 3323, 676, 3843, 547, 1265, 519, 6991, 1210, 519, 4009, 3597, 540, 476, 273, 298, 263, 7219, 2045, 6052, 264, 5258, 676, 519, 2527, 780, 6343, 1705, 596, 1205, 585, 26395, 538, 2474, 540, 519, 2418, 3177, 2496, 6577, 591, 25269, 1767, 912, 6343, 1705, 596, 1205, 585, 26395, 538, 2474, 540, 519, 2418, 3177, 888, 573, 330, 1775, 991, 948, 609, 713, 8631, 538, 2489, 692, 763, 2243, 568, 513, 3787, 27967, 594, 19616, 267, 855, 621, 6238, 609, 513, 3948, 827, 960, 780, 13480, 568, 3989, 607, 3196, 1535, 3845, 780, 2252, 649, 666, 8263, 602, 782, 540, 602, 960, 4682, 883, 4412, 2454, 519, 1843, 543, 9039, 883, 2161, 1761, 1648, 899, 3001, 621, 909, 513, 19856, 1384, 1492, 15452, 1648, 540, 519, 2527, 1058, 581, 3160, 547, 602, 1482, 7274, 780, 1012, 476, 272, 269, 1548, 568, 6991, 2496, 309, 601, 6290, 568, 513, 2268, 540, 519, 12761, 540, 606, 1843, 936, 942, 267, 543, 621, 568, 6829, 607, 3845, 5258, 676, 942, 269, 898, 6645, 721, 519, 3432, 543, 4287, 540, 606, 1843, 781, 5163, 780, 1012, 476, 273, 269, 1215, 798, 594, 5173, 6991, 2496, 2414, 5173, 6991, 267, 7941, 519, 1689, 538, 2990, 630, 4134, 10293, 264, 676, 519, 1689, 538, 942, 269, 901, 666, 581, 6719, 676, 519, 3830, 642, 815, 18529, 343, 270, 24941, 339, 267, 1141, 642, 568, 6991, 267, 18529, 343, 568, 1689, 538, 2990, 267, 543, 18529, 339, 568, 1689, 538, 942, 780, 1012, 476, 274, 269, 4208, 568, 6991, 1271, 2496, 309, 601, 6290, 568, 1271, 1317, 621, 2337, 721, 1174, 875, 3615, 1847, 543, 2170, 609, 1142, 824, 269, 898, 568, 849, 513, 2629, 3815, 538, 8159, 606, 1843, 781, 10231, 267, 799, 666, 1683, 3407, 1344, 827, 519, 4229, 9117, 593, 519, 1843, 780, 1012, 476, 275, 269, 1548, 616, 930, 1455, 4559, 540, 6991, 2496, 763, 1034, 1455, 4559, 540, 6991, 616, 7397, 829, 2034, 630, 332, 4882, 1070, 12919, 829, 5662, 630, 14790, 10774, 1070, 5195, 829, 5662, 630, 332, 874, 1070, 543, 3952, 829, 2034, 630, 1111, 4882, 1040, 1717, 267, 824, 4559, 971, 607, 17744, 829, 2034, 630, 9492, 4882, 264, 543, 12919, 829, 2034, 630, 14790, 4882, 264, 949, 849, 581, 1031, 780, 1012, 476, 276, 269, 1215, 666, 594, 946, 6991, 538, 1483, 1272, 2496, 309, 601, 6290, 814, 1082, 4052, 3156, 538, 4948, 1272, 267, 971, 607, 12719, 519, 3432, 540, 513, 1286, 267, 8159, 519, 942, 621, 3217, 585, 606, 20987, 547, 2951, 1063, 1079, 4872, 267, 610, 17782, 519, 18330, 540, 513, 3440, 538, 513, 3014, 269, 898, 568, 849, 1898, 538, 4610, 971, 607, 4702, 267, 6323, 267, 543, 5026, 2257, 780, 28806, 454, 5325, 454, 21366, 454, 278, 4366, 454, 28806, 454, 736, 454, 21366, 454, 273, 298, 454, 28806, 454, 280, 454, 21366, 454, 275, 4375, 454, 28806, 454, 272, 454, 21366, 454, 272, 298, 454, 28806, 454, 1704, 454, 21366, 454, 4281, 274, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 28806, 454, 280, 454, 21366, 454, 272, 298, 454, 28806, 454, 272, 454, 21366, 454, 272, 298, 454, 28806, 454, 276, 454, 21366, 454, 273, 298, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 0, 5197, 271, 268, 18891, 268, 4281, 276, 279, 630, 307, 3326, 5131, 994, 280, 281, 876, 600, 910, 476, 279, 281, 876, 10975, 594, 4306, 782, 2395, 692, 528, 692, 12552, 267, 1411, 786, 4309, 513, 1289, 16172, 563, 20578, 518, 8081, 692, 2791, 616, 1360, 1271, 547, 721, 692, 28873, 268, 25118, 12893, 1789, 692, 12507, 547, 9045, 910, 476, 1556, 7537, 547, 476, 279, 6751, 692, 258, 17286, 2088, 19270, 1047, 9119, 910, 3487, 4083, 8827, 585, 4147, 476, 1015, 9119, 3848, 476, 280, 910, 4223, 4631, 692, 1012, 17286, 2088, 30930, 10298, 3848, 476, 280, 910, 4223, 4631, 692, 306, 601, 2088, 30930, 10298, 616, 513, 3501, 1259, 547, 513, 576, 707, 6514, 609, 1164, 7436, 269, 1452, 30930, 10298, 616, 5393, 5363, 585, 6061, 2352, 2055, 538, 519, 594, 17698, 4147, 476, 1015, 1109, 12385, 24136, 981, 269, 3776, 17286, 2088, 30930, 10298, 616, 2854, 676, 938, 1641, 4966, 269, 4855, 782, 519, 4267, 547, 519, 17286, 2088, 1837, 2055, 540, 3848, 476, 280, 910, 4223, 4631, 780, 5472, 1109, 306, 601, 2088, 1837, 2055, 540, 1109, 6637, 476, 280, 910, 4223, 4631, 3435, 616, 2813, 538, 13076, 609, 519, 5767, 594, 17698, 21038, 269, 1452, 1863, 30930, 10298, 585, 594, 17698, 4147, 476, 1015, 17286, 2088, 19270, 1047, 9119, 786, 2285, 596, 513, 4514, 5813, 593, 519, 17950, 538, 713, 3184, 543, 786, 948, 596, 547, 6060, 811, 7436, 538, 519, 3803, 6514, 269, 594, 17698, 4147, 476, 1015, 1053, 666, 3277, 547, 891, 3435, 1247, 3257, 741, 6780, 543, 1247, 4974, 543, 2847, 2358, 585, 519, 9119, 981, 780, 19865, 270, 17273, 692, 1012, 17286, 2088, 19270, 1047, 9119, 910, 3487, 4083, 8827, 585, 4147, 476, 1015, 9119, 3848, 476, 280, 910, 4223, 4631, 8525, 270, 2750, 1356, 322, 1047, 476, 280, 10490, 2020, 11405, 476, 272, 692, 9217, 264, 8771, 692, 763, 2040, 589, 1341, 645, 568, 2009, 950, 519, 1931, 540, 1312, 519, 14290, 589, 543, 645, 616, 1482, 780, 23870, 264, 6936, 692, 31702, 264, 8771, 692, 9558, 2821, 540, 513, 476, 273, 476, 272, 5119, 568, 513, 476, 272, 476, 273, 5119, 780, 263, 643, 264, 6936, 692, 17635, 264, 8771, 692, 288, 6241, 5119, 814, 1152, 835, 6241, 543, 1082, 9343, 780, 11405, 476, 273, 692, 2252, 1079, 14290, 616, 3160, 267, 1287, 741, 7222, 2609, 616, 849, 3160, 269, 4475, 267, 649, 723, 1384, 343, 815, 476, 274, 10484, 344, 1341, 476, 273, 815, 476, 272, 586, 815, 910, 272, 692, 345, 910, 476, 272, 815, 476, 273, 1990, 815, 476, 274, 692, 11405, 476, 274, 692, 2252, 1079, 14290, 616, 3160, 267, 1287, 741, 7222, 2609, 616, 849, 3160, 780, 9217, 2020, 320, 1341, 476, 276, 815, 476, 273, 513, 815, 910, 274, 692, 268, 275, 815, 536, 1341, 476, 275, 536, 815, 910, 279, 692, 273, 815, 524, 910, 476, 272, 524, 815, 476, 274, 692, 23870, 264, 513, 284, 476, 274, 692, 320, 910, 536, 815, 910, 272, 692, 321, 815, 513, 1341, 476, 272, 815, 476, 275, 692, 321, 1341, 524, 815, 476, 273, 692, 322, 815, 476, 273, 910, 536, 815, 476, 273, 910, 476, 275, 815, 910, 273, 692, 11405, 476, 275, 692, 9217, 264, 589, 1341, 645, 25883, 23870, 264, 645, 910, 589, 692, 11405, 476, 276, 692, 9217, 264, 289, 1341, 595, 25883, 23870, 264, 288, 910, 595, 25883, 31702, 264, 288, 1341, 645, 910, 595, 25883, 284, 25883, 263, 643, 264, 288, 910, 645, 1341, 290, 25883, 284, 25883, 11405, 476, 277, 692, 9217, 2020, 23870, 2020, 31702, 264, 18827, 568, 711, 2009, 267, 1317, 1312, 14290, 616, 711, 540, 1482, 1931, 780, 11405, 476, 278, 692, 9217, 2020, 13420, 908, 519, 7222, 2609, 267, 649, 1205, 10484, 274, 910, 1535, 815, 476, 278, 543, 586, 1341, 476, 273, 815, 476, 273, 692, 13295, 267, 649, 1205, 267, 1535, 815, 910, 476, 275, 543, 586, 815, 476, 271, 780, 23870, 2020, 13420, 908, 519, 7222, 2609, 267, 649, 1205, 10484, 268, 279, 1341, 586, 815, 910, 274, 543, 1535, 910, 476, 273, 815, 273, 692, 13295, 267, 649, 1205, 267, 1535, 815, 476, 275, 543, 586, 815, 476, 276, 780, 11405, 476, 279, 692, 300, 25883, 300, 339, 25883, 9217, 2020, 9217, 2020, 11405, 476, 280, 692, 2171, 917, 19605, 11201, 540, 513, 5119, 568, 922, 2942, 780, 11405, 476, 1015, 692, 9217, 264, 2473, 1341, 645, 815, 595, 910, 589, 692, 23870, 264, 589, 910, 2473, 815, 645, 1341, 595, 692, 11405, 476, 1556, 692, 9217, 264, 589, 1341, 2473, 815, 645, 692, 311, 815, 645, 910, 589, 692, 23870, 264, 589, 910, 2473, 815, 645, 692, 311, 815, 589, 910, 645, 692, 31702, 264, 2473, 910, 645, 815, 589, 692, 311, 815, 589, 1341, 645, 692, 1012, 17286, 2088, 19270, 1047, 9119, 910, 3487, 4083, 8827, 585, 4147, 476, 1015, 9119, 3848, 476, 280, 910, 4223, 4631, 8525, 270, 2750, 1356, 322, 1047, 476, 280, 16360, 2020, 11405, 476, 272, 692, 11405, 476, 273, 692, 21008, 532, 519, 7222, 2609, 267, 649, 1205, 10484, 1321, 1341, 476, 273, 344, 815, 476, 1015, 543, 476, 274, 343, 910, 476, 277, 815, 476, 271, 692, 8245, 680, 4328, 267, 649, 1205, 267, 586, 815, 910, 272, 543, 1535, 815, 476, 273, 780, 21008, 532, 7222, 519, 2609, 267, 649, 1205, 10484, 14870, 1341, 476, 279, 815, 476, 278, 543, 476, 273, 343, 910, 476, 275, 344, 815, 910, 279, 692, 8245, 680, 4328, 267, 649, 1205, 10484, 343, 815, 476, 272, 543, 586, 815, 815, 476, 273, 269, 276, 692, 11405, 476, 274, 692, 9217, 264, 476, 273, 288, 910, 476, 274, 289, 1341, 595, 692, 23870, 264, 589, 1341, 476, 273, 290, 910, 645, 692, 11405, 476, 275, 692, 11405, 476, 276, 692, 9217, 2020, 23870, 264, 595, 1341, 645, 25883, 290, 815, 910, 645, 25883, 11405, 476, 277, 692, 21008, 532, 519, 7222, 2609, 267, 649, 1205, 10484, 273, 343, 1341, 476, 280, 815, 910, 278, 476, 273, 343, 815, 910, 1626, 1535, 815, 910, 279, 692, 274, 344, 815, 476, 1428, 586, 815, 476, 276, 692, 345, 815, 476, 280, 692, 11405, 476, 278, 692, 9217, 264, 476, 273, 288, 1341, 476, 274, 4263, 692, 23870, 264, 476, 273, 4263, 910, 476, 274, 288, 692, 31702, 2020, 263, 643, 2020, 11405, 476, 279, 692, 9217, 264, 2473, 1341, 476, 273, 288, 815, 645, 692, 311, 815, 645, 910, 476, 273, 288, 692, 23870, 264, 476, 274, 311, 1341, 645, 1341, 476, 273, 288, 815, 744, 692, 274, 311, 815, 910, 273, 288, 910, 645, 692, 31702, 264, 476, 274, 288, 910, 476, 273, 311, 815, 2473, 910, 476, 273, 289, 692, 274, 288, 1341, 476, 273, 289, 815, 2473, 1341, 476, 273, 311, 692, 274, 311, 815, 476, 274, 288, 1341, 476, 273, 289, 692, 11405, 476, 280, 692, 274, 300, 1341, 476, 276, 301, 692, 11405, 476, 1015, 692, 9217, 264, 631, 910, 476, 273, 296, 25883, 23870, 264, 476, 276, 300, 1341, 476, 274, 296, 25883, 11405, 476, 1556, 692, 273, 300, 25883, 300, 25883, 1012, 17286, 2088, 19270, 1047, 9119, 910, 3487, 4083, 8827, 585, 4147, 476, 1015, 9119, 3848, 476, 280, 910, 4223, 4631, 8525, 270, 2750, 1356, 322, 1047, 476, 280, 18154, 2020, 11405, 476, 272, 692, 763, 1297, 540, 9587, 538, 519, 1101, 5119, 568, 711, 3160, 547, 519, 1297, 540, 9343, 538, 519, 2034, 5119, 269, 4935, 267, 519, 1587, 568, 711, 2009, 780, 11405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8489, 547, 1265, 4277, 1184, 2079, 1557, 3584, 1018, 616, 1184, 3594, 1184, 3594, 3274, 2491, 513, 1978, 1184, 538, 1469, 519, 2875, 2982, 1010, 3988, 875, 789, 666, 11654, 513, 1978, 1505, 538, 606, 4998, 1259, 269, 5675, 5751, 14248, 270, 525, 331, 2200, 1603, 2200, 1382, 1603, 3268, 538, 1603, 513, 1382, 1957, 3268, 538, 1603, 513, 1382, 1957, 513, 3126, 540, 3268, 267, 4358, 609, 3384, 513, 1382, 2243, 543, 2324, 5098, 267, 786, 1291, 596, 998, 1603, 513, 1382, 1957, 607, 596, 1847, 998, 891, 3268, 543, 2965, 1711, 519, 269, 901, 2985, 814, 6402, 547, 1271, 1965, 331, 1603, 4609, 621, 781, 851, 540, 519, 7005, 1565, 3896, 8940, 3994, 7302, 836, 1260, 267, 513, 5458, 7005, 1565, 4199, 609, 5215, 540, 7391, 267, 3594, 267, 543, 5751, 269, 6732, 1603, 2978, 1560, 9433, 3635, 513, 7548, 540, 7005, 693, 6663, 2146, 2852, 267, 519, 3328, 15938, 2875, 786, 2328, 8938, 19317, 1114, 3594, 1247, 5275, 513, 20277, 779, 4110, 713, 1297, 4679, 13497, 585, 1053, 945, 979, 593, 547, 3343, 513, 10927, 4110, 4433, 264, 4845, 1948, 277, 1107, 2328, 513, 4845, 269, 25398, 11049, 568, 835, 540, 519, 1655, 2200, 585, 1965, 331, 1053, 693, 713, 1448, 538, 519, 1603, 1184, 26471, 513, 7649, 547, 1142, 2875, 543, 6998, 602, 1268, 547, 1413, 585, 1808, 2152, 538, 519, 1557, 666, 581, 513, 11720, 6804, 1995, 585, 707, 1053, 5000, 1142, 1268, 547, 1413, 585, 1022, 15059, 538, 2495, 267, 10539, 538, 3919, 267, 610, 3584, 602, 269, 10507, 331, 1603, 1184, 1557, 3896, 519, 1184, 540, 1603, 606, 4081, 1557, 5907, 1239, 20049, 585, 519, 3483, 540, 30191, 519, 4766, 519, 5933, 3238, 538, 519, 1184, 540, 1603, 606, 4081, 1557, 2186, 3909, 5168, 538, 519, 2978, 8259, 476, 1001, 277, 7886, 4470, 2834, 4005, 2594, 789, 949, 610, 2852, 1557, 1603, 1184, 269, 2296, 476, 6200, 281, 4367, 547, 2852, 1603, 3948, 540, 5692, 543, 1576, 3853, 2487, 1382, 883, 519, 1909, 540, 1101, 4458, 1603, 8761, 602, 1101, 4458, 1603, 6030, 616, 1655, 1031, 547, 5000, 13849, 18221, 540, 519, 11964, 267, 8658, 267, 543, 9458, 602, 5830, 7237, 538, 2852, 630, 5408, 32319, 581, 879, 3228, 267, 1603, 538, 2852, 543, 3564, 264, 7005, 269, 1215, 547, 2087, 707, 1557, 1603, 3533, 281, 513, 1900, 8386, 9912, 3391, 827, 519, 2278, 1900, 7315, 773, 782, 523, 1224, 27825, 543, 7005, 693, 588, 554, 7676, 779, 2852, 267, 3404, 5112, 267, 543, 568, 4867, 15388, 513, 943, 323, 538, 2038, 2413, 4081, 12416, 693, 519, 6280, 540, 535, 1026, 32490, 563, 763, 1965, 331, 1603, 1184, 568, 519, 1482, 607, 519, 1603, 1184, 596, 1131, 946, 538, 707, 5065, 1893, 621, 568, 281, 1544, 1107, 2328, 1107, 3803, 1125, 1631, 607, 606, 1965, 331, 1893, 15226, 519, 1965, 331, 1603, 1184, 267, 538, 2694, 267, 786, 581, 1114, 689, 602, 540, 513, 5065, 10584, 269, 9282, 519, 2262, 1557, 814, 2097, 547, 581, 6956, 607, 513, 1826, 540, 1603, 538, 2413, 7005, 267, 922, 8129, 1683, 721, 609, 930, 3730, 4030, 713, 30453, 1058, 948, 1053, 1831, 5432, 543, 6899, 609, 519, 1184, 540, 1557, 5888, 998, 519, 4367, 540, 930, 1455, 1557, 11964, 713, 30453, 2882, 513, 5618, 4367, 547, 519, 1739, 11964, 540, 1557, 1603, 269, 16869, 12649, 875, 547, 2328, 513, 1184, 1557, 2185, 2694, 281, 3478, 4712, 547, 2328, 13167, 606, 4367, 1603, 707, 1560, 9433, 28277, 621, 909, 2146, 7117, 261, 320, 513, 1184, 1557, 267, 6382, 1634, 607, 513, 875, 3562, 1557, 267, 6645, 513, 5467, 875, 547, 1685, 513, 1880, 4305, 563, 29973, 569, 267, 606, 7291, 2337, 2061, 513, 5856, 689, 3478, 12758, 950, 7900, 519, 4890, 1603, 540, 519, 1557, 606, 7291, 2488, 513, 4786, 540, 1141, 547, 979, 609, 519, 1557, 513, 1134, 31465, 7291, 786, 1397, 1018, 519, 5098, 540, 519, 1557, 568, 267, 1018, 519, 1292, 2856, 540, 1142, 1560, 5037, 568, 267, 543, 519, 2963, 4882, 6269, 677, 602, 786, 581, 6035, 538, 1142, 269, 11150, 585, 1557, 1603, 519, 6402, 2630, 1683, 13801, 5796, 593, 930, 4909, 2609, 540, 4081, 1603, 875, 547, 1224, 606, 7084, 3001, 689, 563, 25456, 540, 1184, 1557, 3732, 1557, 1888, 281, 1449, 4160, 3123, 6280, 1053, 547, 896, 704, 845, 538, 741, 18362, 1865, 4063, 281, 519, 1557, 568, 538, 519, 2451, 6241, 538, 519, 1318, 1688, 6241, 972, 616, 2110, 4967, 10834, 519, 1585, 4081, 1603, 1983, 1459, 538, 519, 1557, 22967, 1923, 6085, 1923, 713, 1557, 12116, 519, 269, 1306, 1965, 331, 1053, 1831, 811, 31402, 267, 621, 781, 942, 547, 1445, 593, 875, 547, 946, 602, 21711, 538, 1808, 4247, 971, 607, 1818, 513, 6881, 610, 1603, 606, 1557, 519, 4359, 3584, 596, 3442, 1058, 4096, 2390, 1018, 707, 1053, 723, 9709, 585, 519, 2104, 538, 5049, 609, 6404, 6859, 267, 972, 781, 513, 991, 585, 3666, 547, 1118, 2386, 602, 1053, 269, 2776, 2914, 3876, 2994, 946, 1603, 547, 5352, 543, 12172, 2093, 1247, 1082, 5830, 723, 12926, 2813, 14592, 1354, 4098, 1603, 267, 972, 616, 824, 2009, 840, 8586, 2238, 2947, 3730, 2994, 616, 23730, 267, 24159, 267, 1863, 1603, 267, 8520, 532, 267, 543, 6998, 519, 3670, 20859, 262, 2055, 269, 476, 273, 875, 547, 2328, 1390, 3594, 3184, 476, 272, 3919, 5583, 543, 4287, 998, 519, 1603, 1184, 267, 2523, 952, 596, 616, 538, 513, 31764, 2198, 268, 566, 3919, 13071, 596, 1294, 875, 707, 1082, 3384, 2093, 3514, 1369, 513, 5943, 563, 276, 5820, 585, 1965, 331, 1557, 1603, 602, 1131, 15673, 519, 554, 27304, 24882, 1018, 568, 519, 554, 3711, 584, 3455, 1557, 543, 1946, 568, 621, 513, 1390, 1292, 1576, 950, 7674, 909, 1965, 331, 1603, 4245, 609, 936, 476, 10384, 2929, 1004, 6340, 7005, 607, 513, 2034, 1893, 267, 2059, 609, 519, 4567, 540, 7005, 607, 519, 3486, 8059, 320, 21473, 8619, 267, 972, 616, 1082, 4128, 1053, 26600, 547, 7005, 865, 267, 1018, 538, 1880, 1281, 519, 1557, 269, 6713, 1557, 3584, 538, 513, 1184, 1557, 596, 616, 547, 1683, 707, 3988, 609, 513, 1305, 540, 5528, 547, 2347, 513, 1978, 4305, 899, 28472, 513, 2780, 610, 11256, 12897, 707, 3119, 6662, 568, 547, 1459, 519, 3988, 609, 513, 1544, 585, 2962, 267, 799, 666, 581, 3833, 3362, 4553, 543, 7368, 519, 3903, 540, 513, 1184, 1557, 1888, 568, 2629, 607, 707, 563, 1692, 798, 596, 2328, 513, 1184, 1557, 1018, 616, 1434, 1184, 1557, 3584, 1451, 875, 547, 2328, 513, 1184, 1557, 689, 269, 5675, 606, 1557, 1419, 4667, 547, 581, 513, 23487, 539, 4305, 1851, 1053, 2436, 519, 1557, 568, 585, 513, 14172, 267, 513, 1362, 267, 610, 6148, 1256, 513, 16311, 267, 1082, 1053, 1419, 1265, 519, 4305, 11566, 1247, 606, 1557, 568, 513, 1804, 1788, 267, 972, 616, 1082, 3268, 513, 2875, 666, 1491, 602, 786, 948, 2736, 1524, 519, 4305, 563, 292, 16435, 1603, 5751, 543, 7792, 4245, 281, 5912, 3211, 267, 1965, 331, 1603, 2238, 267, 5470, 15494, 3211, 267, 543, 1454, 811, 269, 17546, 1965, 331, 1557, 1603, 585, 13591, 1377, 1053, 1210, 713, 2241, 5650, 3211, 593, 875, 547, 2328, 606, 7291, 267, 4367, 267, 543, 3932, 269, 3245, 519, 1965, 331, 2875, 25156, 267, 676, 1762, 1295, 267, 943, 323, 1082, 16929, 11168, 519, 2956, 540, 16042, 1603, 607, 513, 1184, 6343, 1281, 713, 1611, 10416, 267, 621, 1797, 602, 596, 946, 519, 2534, 540, 1603, 607, 513, 1907, 585, 1565, 267, 607, 513, 1907, 585, 14374, 267, 543, 607, 513, 1907, 585, 6602, 2421, 1603, 267, 596, 666, 1020, 811, 4396, 2093, 593, 519, 1888, 269, 0, 3719, 519, 5318, 5354, 540, 519, 1004, 12617, 538, 695, 836, 15913, 30401, 941, 267, 7227, 585, 3812, 676, 11191, 6901, 941, 9916, 676, 13179, 14870, 11920, 28264, 269, 595, 8463, 1185, 12572, 4644, 543, 729, 14553, 6417, 538, 519, 695, 836, 15913, 540, 3504, 19580, 6077, 16213, 729, 5631, 7856, 269, 1744, 836, 15913, 19580, 729, 1175, 10024, 519, 19730, 2085, 1004, 941, 4358, 547, 2328, 267, 543, 789, 3893, 9640, 543, 669, 926, 1824, 4440, 782, 540, 891, 563, 27736, 1491, 513, 7688, 610, 1357, 26810, 593, 519, 3504, 19580, 910, 695, 836, 15913, 2259, 2042, 2228, 1449, 543, 2055, 585, 1053, 269, 6034, 569, 1747, 538, 519, 12068, 540, 513, 17655, 6475, 17209, 267, 865, 2079, 729, 2944, 621, 729, 513, 9161, 19730, 689, 519, 695, 836, 15913, 267, 6580, 689, 1472, 269, 9122, 593, 519, 2164, 540, 1462, 1670, 9382, 540, 1570, 3788, 267, 607, 835, 540, 519, 4102, 2749, 4609, 540, 3504, 19580, 267, 1990, 26907, 345, 17924, 695, 836, 2749, 568, 563, 307, 687, 540, 519, 695, 836, 15913, 267, 695, 836, 1019, 267, 519, 1164, 18459, 568, 519, 5207, 1379, 1526, 766, 3434, 267, 513, 22273, 5534, 8407, 543, 7013, 14326, 281, 606, 2079, 540, 669, 340, 269, 634, 695, 836, 15913, 6825, 519, 1647, 540, 19580, 781, 19730, 2085, 543, 729, 513, 1354, 519, 6602, 540, 519, 695, 836, 522, 20432, 7633, 543, 519, 7664, 540, 741, 269, 634, 695, 836, 15913, 610, 586, 514, 15913, 630, 418, 362, 371, 28786, 586, 13682, 333, 546, 14504, 328, 1070, 2687, 547, 2757, 2351, 25086, 267, 12199, 21055, 2495, 267, 586, 514, 5736, 554, 534, 15913, 476, 18684, 27652, 1107, 476, 13136, 740, 269, 4438, 519, 3803, 1079, 5553, 540, 519, 695, 836, 15913, 630, 8182, 271, 268, 10441, 277, 536, 576, 264, 538, 1498, 24085, 723, 9916, 519, 30401, 540, 891, 24279, 27260, 20373, 267, 519, 3735, 695, 836, 15913, 568, 1134, 8153, 585, 922, 14021, 2259, 1775, 5659, 519, 4162, 540, 1480, 15093, 693, 1535, 32079, 580, 836, 630, 773, 269, 476, 8182, 271, 1700, 10755, 271, 536, 576, 630, 3333, 836, 15913, 264, 19580, 19730, 930, 540, 891, 9382, 798, 711, 2154, 513, 3732, 543, 4734, 519, 1843, 24240, 1866, 2154, 519, 2921, 269, 634, 4161, 540, 5316, 1081, 281, 2930, 6514, 540, 513, 19730, 546, 532, 16213, 1505, 568, 519, 4062, 2173, 1245, 1184, 540, 519, 695, 836, 543, 1990, 17924, 30552, 770, 625, 540, 3504, 269, 769, 19580, 936, 476, 4335, 14155, 730, 795, 3547, 689, 513, 2647, 3099, 540, 4609, 6580, 689, 519, 683, 18070, 1974, 547, 519, 554, 534, 15913, 723, 1044, 9916, 585, 741, 7777, 1543, 1547, 3367, 543, 1451, 585, 1863, 827, 519, 1739, 2376, 281, 695, 836, 15913, 10340, 1776, 7664, 568, 602, 891, 941, 10546, 21847, 9676, 538, 6370, 563, 763, 695, 836, 15913, 25577, 538, 519, 5835, 5757, 14860, 1282, 519, 2034, 669, 8811, 540, 519, 7599, 1496, 534, 24666, 2680, 540, 15458, 2495, 269, 3624, 781, 1101, 30552, 770, 625, 9789, 1535, 807, 543, 695, 836, 267, 519, 1990, 17924, 267, 519, 7117, 514, 267, 543, 519, 476, 276, 21144, 10600, 2079, 4976, 281, 979, 547, 8940, 639, 1027, 340, 270, 5632, 529, 543, 2322, 476, 275, 3369, 538, 519, 3406, 269, 634, 9510, 1634, 24349, 5931, 267, 689, 519, 695, 836, 15913, 1974, 540, 476, 6344, 271, 741, 2079, 540, 519, 795, 11672, 340, 22016, 7000, 15244, 540, 7135, 269, 4635, 519, 1505, 540, 24236, 2079, 649, 666, 1205, 812, 781, 2732, 540, 513, 1279, 21583, 339, 2763, 5757, 14860, 543, 5045, 19580, 267, 7573, 729, 3144, 607, 1022, 836, 540, 519, 695, 836, 15913, 269, 8431, 476, 274, 513, 7601, 9633, 540, 519, 3735, 695, 836, 15913, 16626, 538, 21583, 343, 1014, 267, 562, 2294, 547, 519, 6514, 540, 3504, 8407, 689, 15456, 563, 288, 2110, 5758, 540, 519, 695, 836, 15913, 4352, 519, 695, 836, 729, 519, 2034, 15913, 538, 2757, 24349, 12583, 267, 621, 729, 519, 1101, 585, 799, 649, 723, 2854, 269, 634, 695, 836, 15913, 729, 513, 1974, 540, 942, 538, 19580, 602, 3459, 538, 476, 8182, 271, 27652, 543, 16768, 547, 476, 10441, 277, 27652, 519, 695, 836, 15913, 568, 1634, 585, 922, 6639, 13120, 269, 15215, 543, 1158, 2070, 538, 519, 695, 836, 543, 1990, 17924, 30552, 770, 625, 606, 1557, 593, 1476, 18676, 22675, 281, 922, 5072, 267, 23350, 267, 1764, 593, 2486, 936, 942, 543, 2413, 269, 20828, 281, 1282, 519, 695, 836, 15913, 15438, 543, 695, 600, 753, 1131, 3801, 547, 4914, 2197, 971, 607, 19580, 522, 7828, 7816, 476, 6200, 281, 513, 23381, 2079, 3040, 798, 563, 2414, 606, 2079, 540, 519, 1915, 540, 9125, 10999, 7000, 2713, 4609, 267, 30401, 267, 519, 1533, 18170, 676, 519, 695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 616, 3168, 585, 513, 533, 20269, 1305, 609, 29559, 267, 19584, 519, 13365, 685, 10672, 563, 6624, 13863, 5036, 2270, 1896, 13365, 799, 616, 4502, 1114, 5666, 269, 589, 1906, 540, 891, 13365, 616, 4502, 1269, 271, 269, 2004, 1247, 1866, 616, 4502, 1269, 2004, 610, 1256, 811, 269, 769, 1022, 2013, 267, 596, 11129, 547, 581, 6297, 543, 3442, 707, 13365, 5402, 269, 589, 1305, 602, 3568, 519, 11234, 13365, 666, 2061, 707, 7193, 689, 4358, 269, 1924, 621, 779, 2629, 602, 596, 4584, 519, 2953, 1895, 540, 13365, 269, 589, 25877, 13863, 1305, 4991, 519, 1318, 4778, 267, 865, 621, 779, 4105, 547, 3442, 519, 1655, 835, 269, 1924, 267, 581, 2386, 596, 1205, 835, 609, 519, 1697, 4778, 563, 13356, 4575, 593, 519, 1655, 13863, 1305, 568, 1898, 585, 519, 3014, 269, 898, 4667, 24534, 547, 723, 513, 2347, 14091, 366, 510, 424, 488, 353, 425, 488, 372, 424, 373, 368, 424, 356, 478, 423, 483, 372, 1895, 540, 533, 20269, 13365, 269, 1717, 267, 621, 779, 4443, 547, 6529, 609, 519, 6093, 2450, 269, 589, 4130, 13863, 666, 1118, 707, 13365, 1732, 547, 4558, 543, 786, 711, 581, 8246, 607, 1454, 269, 634, 2442, 29559, 786, 581, 519, 3283, 609, 1804, 4484, 532, 269, 1403, 596, 616, 4730, 585, 2724, 267, 596, 3580, 1616, 547, 723, 513, 1305, 609, 513, 2462, 3099, 540, 11954, 13365, 563, 763, 13365, 564, 666, 581, 606, 1271, 5057, 540, 707, 2780, 269, 898, 2488, 519, 8818, 1063, 519, 17765, 543, 824, 1016, 17882, 338, 267, 971, 607, 3965, 543, 2182, 11479, 269, 769, 1840, 547, 3246, 519, 8818, 267, 519, 13863, 1305, 568, 519, 1152, 5057, 602, 13462, 707, 17765, 2059, 609, 824, 3334, 269, 898, 779, 1271, 547, 2824, 513, 13863, 1305, 799, 814, 519, 2934, 596, 786, 991, 543, 568, 15095, 609, 519, 1964, 540, 707, 2780, 269, 1403, 707, 27108, 568, 3908, 267, 2824, 513, 1305, 609, 513, 2362, 3902, 11090, 563, 24400, 519, 1318, 13863, 1305, 585, 519, 3014, 568, 1271, 267, 865, 596, 3580, 1616, 547, 2015, 707, 6578, 269, 589, 2241, 13863, 1305, 786, 581, 5386, 585, 14987, 269, 898, 779, 4502, 15663, 267, 2705, 267, 602, 930, 13863, 5036, 616, 14427, 543, 3112, 2063, 585, 513, 1279, 1974, 269, 4475, 267, 621, 779, 1655, 547, 6300, 1472, 1354, 1818, 513, 3375, 269, 589, 2298, 533, 20269, 13863, 1305, 786, 2063, 596, 513, 1279, 942, 269, 1924, 267, 952, 596, 2461, 9140, 513, 1305, 585, 519, 11080, 2115, 267, 621, 779, 513, 1434, 5092, 269, 0, 22832, 670, 597, 2421, 540, 570, 592, 2033, 2160, 6257, 11525, 762, 20531, 267, 607, 950, 513, 4759, 540, 6392, 3340, 4890, 2963, 547, 1376, 606, 7634, 269, 634, 7521, 540, 713, 6388, 936, 10257, 27421, 267, 2495, 1152, 968, 7528, 3931, 513, 554, 4875, 2223, 538, 1857, 1164, 3506, 814, 1044, 11130, 827, 10876, 630, 295, 597, 2421, 1040, 11525, 762, 2014, 11129, 547, 4019, 547, 1857, 1164, 3506, 269, 1403, 21483, 2014, 568, 711, 2322, 883, 1747, 267, 1053, 666, 1831, 27209, 547, 7390, 3506, 269, 23883, 267, 952, 519, 1153, 779, 3355, 20343, 2557, 568, 18657, 665, 516, 563, 10743, 616, 968, 16476, 1117, 856, 892, 540, 30369, 1153, 5054, 267, 799, 666, 1291, 547, 3875, 6749, 268, 8083, 630, 291, 3326, 1040, 17217, 762, 27421, 3947, 3610, 543, 21246, 1023, 519, 4316, 547, 3077, 693, 16151, 1053, 945, 789, 1589, 616, 8840, 3652, 267, 2870, 513, 20935, 5790, 267, 3976, 968, 335, 5241, 892, 856, 1053, 269, 8786, 267, 3506, 666, 7048, 538, 741, 2907, 268, 1584, 2987, 268, 2897, 20343, 1062, 971, 607, 5480, 267, 22717, 267, 3092, 269, 1717, 267, 476, 1556, 2829, 1152, 2154, 1053, 547, 581, 476, 1626, 26188, 6040, 547, 2278, 1125, 741, 1378, 15639, 267, 476, 1626, 2829, 282, 476, 1704, 26188, 6040, 267, 543, 476, 2537, 2829, 282, 476, 1240, 26188, 6040, 630, 301, 5425, 299, 1040, 1403, 1053, 3247, 11504, 267, 3506, 786, 6336, 2724, 1317, 2356, 20343, 568, 513, 2707, 540, 7482, 269, 589, 11968, 13353, 1153, 8664, 4503, 1269, 3393, 28985, 998, 2612, 1878, 2063, 1032, 4805, 630, 293, 822, 582, 1916, 14276, 3506, 267, 799, 7048, 593, 2229, 7616, 267, 786, 6336, 741, 2724, 1317, 540, 15534, 2465, 1143, 1813, 547, 519, 1604, 789, 1451, 538, 269, 898, 779, 2009, 602, 3544, 22881, 666, 8207, 713, 3390, 267, 855, 2090, 1397, 602, 23190, 547, 1857, 3506, 723, 8519, 543, 23190, 547, 4357, 3506, 723, 2799, 630, 289, 1258, 1676, 1040, 9453, 21483, 2014, 2322, 883, 1747, 621, 6038, 14543, 1053, 269, 13018, 540, 602, 5108, 269, 589, 12425, 1153, 568, 606, 1383, 540, 1018, 4523, 950, 513, 1153, 19380, 7616, 281, 519, 2875, 779, 8464, 6175, 630, 299, 1168, 529, 1040, 1403, 972, 568, 1100, 3356, 267, 972, 568, 1100, 2069, 585, 891, 1453, 547, 12492, 267, 4061, 17528, 873, 27268, 269, 898, 666, 581, 11130, 602, 4357, 610, 22497, 3506, 666, 581, 2139, 547, 1053, 609, 642, 537, 7129, 563, 11749, 24809, 18135, 1380, 6941, 875, 513, 22497, 1153, 5116, 1344, 827, 513, 7141, 779, 3075, 10654, 593, 741, 740, 585, 741, 14232, 19496, 543, 4280, 267, 968, 3963, 5855, 827, 713, 1826, 540, 2875, 693, 1153, 286, 22067, 3643, 8551, 9142, 25943, 3427, 269, 3767, 679, 13764, 9344, 476, 277, 268, 1321, 1848, 898, 12662, 693, 16151, 6107, 11735, 538, 4081, 24677, 563, 763, 9872, 540, 21483, 2014, 666, 2061, 519, 5821, 540, 2069, 538, 519, 2475, 543, 4688, 621, 779, 1053, 689, 513, 1272, 15877, 19174, 269, 0, 288, 10116, 540, 513, 1032, 568, 24369, 4374, 563, 7367, 543, 476, 272, 270, 278, 4374, 454, 1321, 4374, 538, 513, 10116, 269, 476, 275, 10116, 513, 1032, 630, 1492, 3063, 4374, 616, 1031, 585, 519, 5162, 2736, 264, 476, 1724, 269, 1703, 616, 476, 7367, 4374, 538, 513, 1032, 269, 22588, 1797, 476, 272, 270, 275, 628, 269, 476, 7367, 5258, 676, 476, 275, 11224, 476, 1724, 563, 2467, 616, 476, 1724, 4374, 538, 519, 2034, 10116, 540, 476, 1001, 276, 563, 1321, 269, 1215, 286, 589, 22588, 1797, 476, 272, 270, 275, 628, 269, 589, 1032, 814, 476, 1321, 3275, 269, 589, 10116, 540, 513, 1032, 568, 476, 272, 270, 275, 628, 540, 476, 1321, 3275, 267, 799, 568, 476, 274, 3275, 269, 4475, 267, 1142, 10116, 814, 476, 274, 3275, 269, 5457, 267, 972, 616, 476, 275, 4374, 538, 513, 3923, 269, 769, 476, 274, 3275, 972, 616, 476, 274, 2053, 476, 275, 4374, 267, 799, 568, 476, 1321, 4374, 269, 4475, 972, 616, 476, 1321, 4374, 538, 513, 10116, 269, 2910, 305, 3918, 290, 3582, 1703, 616, 24369, 4374, 538, 513, 10116, 540, 513, 1032, 269, 476, 7367, 530, 802, 829, 29757, 5258, 676, 476, 275, 568, 519, 7608, 1505, 547, 3313, 875, 1082, 4374, 829, 10116, 563, 1724, 4374, 568, 476, 274, 3275, 630, 272, 10116, 5148, 476, 2918, 4374, 568, 476, 277, 3275, 630, 13651, 16006, 1032, 1916, 2467, 616, 476, 1724, 4374, 538, 513, 10116, 538, 3427, 269, 630, 292, 11915, 267, 5664, 270, 12789, 269, 4400, 267, 543, 1164, 1153, 264, 1924, 827, 476, 274, 4374, 563, 296, 1589, 476, 280, 454, 293, 604, 10117, 543, 513, 10116, 563, 272, 22588, 568, 476, 280, 4374, 269, 1924, 519, 2034, 10116, 540, 1153, 6238, 5239, 476, 1704, 563, 763, 7599, 9979, 998, 476, 275, 11775, 1169, 3923, 269, 1703, 616, 827, 476, 274, 4374, 1063, 519, 1101, 543, 2063, 10116, 11775, 540, 519, 7599, 563, 272, 269, 589, 10116, 7484, 568, 513, 10116, 7484, 563, 288, 10116, 568, 513, 8772, 540, 519, 1153, 1032, 269, 1403, 519, 1153, 1032, 568, 476, 3607, 4374, 267, 1287, 513, 10116, 568, 8370, 4374, 563, 12671, 476, 272, 476, 272, 270, 275, 16720, 538, 476, 272, 10116, 512, 4944, 563, 272, 270, 275, 540, 513, 10116, 11013, 815, 476, 272, 26412, 454, 272, 543, 476, 272, 270, 275, 16720, 538, 513, 10116, 23188, 454, 272, 10116, 540, 513, 1396, 516, 815, 476, 7742, 1984, 4106, 637, 563, 275, 269, 9747, 519, 2012, 10116, 454, 288, 10116, 814, 513, 8006, 540, 476, 273, 269, 275, 2918, 4699, 563, 288, 10116, 568, 513, 1614, 18881, 1974, 269, 476, 272, 560, 22588, 630, 304, 272, 264, 815, 5130, 476, 272, 998, 4728, 476, 4029, 476, 273, 526, 22588, 630, 304, 273, 264, 815, 4989, 476, 272, 998, 4873, 476, 1789, 476, 274, 6113, 22588, 630, 304, 274, 264, 815, 5147, 476, 272, 998, 5181, 476, 1789, 476, 275, 628, 22588, 630, 304, 275, 264, 815, 5239, 476, 272, 998, 5412, 476, 4029, 630, 304, 272, 1282, 20014, 1296, 543, 1627, 273, 616, 1142, 4010, 476, 1724, 4374, 1279, 269, 1627, 274, 543, 1627, 275, 616, 1142, 835, 1554, 3476, 982, 476, 1724, 4374, 267, 543, 1627, 272, 1282, 2834, 1296, 568, 835, 1554, 10156, 982, 476, 1724, 4374, 8094, 275, 10116, 11680, 815, 476, 272, 7484, 476, 273, 10116, 11680, 815, 476, 272, 270, 273, 7484, 476, 272, 10116, 7484, 815, 476, 272, 270, 275, 7484, 0, 288, 7059, 2732, 1927, 609, 3586, 2168, 2534, 616, 519, 4493, 540, 513, 2635, 1272, 269, 901, 568, 2523, 3020, 538, 6379, 267, 950, 513, 4807, 779, 6197, 949, 610, 949, 711, 9797, 3310, 519, 1126, 779, 1134, 5630, 269, 20226, 2303, 9176, 2021, 267, 538, 1249, 267, 711, 547, 3247, 1107, 543, 8197, 547, 1376, 1107, 2168, 2534, 607, 1279, 607, 621, 568, 2966, 4481, 585, 713, 10347, 1974, 267, 543, 1491, 5413, 540, 519, 14812, 547, 6445, 909, 609, 6171, 645, 1321, 267, 519, 865, 10777, 2048, 16591, 6171, 9957, 12833, 9407, 538, 3875, 10894, 3157, 267, 6171, 645, 1321, 568, 1851, 1346, 1898, 585, 938, 1072, 281, 621, 8309, 547, 519, 5786, 540, 13110, 1145, 543, 9854, 543, 547, 519, 3339, 8647, 540, 519, 8401, 543, 4761, 1949, 269, 5015, 267, 2090, 676, 3173, 689, 519, 29321, 331, 2946, 4659, 540, 2657, 7070, 630, 25712, 9391, 1070, 519, 29321, 331, 2946, 3194, 4741, 630, 301, 13612, 264, 538, 14135, 543, 519, 2817, 2160, 540, 14135, 3100, 547, 5815, 602, 513, 10638, 538, 713, 6171, 666, 11874, 1860, 519, 2067, 10172, 1184, 563, 1607, 2048, 16591, 6171, 685, 3112, 581, 24704, 676, 519, 1480, 1560, 543, 1590, 4061, 8209, 581, 12842, 689, 1426, 269, 1280, 1383, 267, 689, 5144, 267, 513, 10475, 4235, 1851, 519, 2048, 4486, 685, 3536, 540, 519, 11335, 2732, 799, 568, 835, 540, 519, 1292, 23854, 540, 6171, 645, 1321, 1927, 609, 3165, 267, 5798, 543, 5779, 269, 1717, 267, 2687, 547, 1239, 689, 519, 29321, 331, 2946, 25076, 267, 711, 3025, 27499, 891, 3536, 607, 5227, 676, 519, 5442, 305, 3198, 4808, 269, 769, 1249, 267, 1152, 476, 4375, 260, 540, 32228, 2103, 4235, 5144, 1169, 1554, 540, 519, 3018, 543, 1152, 476, 1704, 260, 540, 2021, 723, 2799, 741, 4616, 538, 519, 2063, 1032, 269, 5015, 267, 1152, 476, 3451, 260, 3548, 3165, 476, 273, 547, 476, 275, 2053, 513, 3018, 1247, 538, 1880, 476, 1789, 260, 540, 2021, 538, 519, 2063, 1032, 723, 2799, 741, 4616, 563, 2108, 24791, 645, 1321, 568, 606, 1898, 6171, 538, 519, 3157, 540, 5250, 540, 2699, 1973, 2281, 543, 585, 519, 2281, 540, 519, 8401, 1062, 5608, 3081, 3220, 269, 16902, 2224, 28500, 15310, 10620, 267, 5518, 540, 519, 29321, 331, 2946, 25076, 269, 968, 2690, 782, 891, 4128, 267, 3536, 3638, 538, 6171, 645, 1321, 616, 1271, 693, 782, 6502, 543, 2523, 585, 9176, 2021, 6100, 1656, 621, 568, 10502, 585, 9176, 2021, 602, 3586, 2168, 2534, 568, 5227, 267, 799, 5540, 711, 1152, 4775, 1134, 5630, 855, 849, 602, 540, 519, 1126, 269, 898, 568, 1271, 538, 891, 2395, 540, 2048, 30956, 16670, 685, 547, 2285, 13951, 519, 3804, 540, 9522, 532, 543, 14304, 519, 1560, 267, 1437, 908, 519, 10009, 543, 519, 28491, 8686, 6018, 1062, 267, 1247, 10442, 609, 1880, 3007, 519, 1826, 540, 2534, 547, 581, 4553, 563, 2304, 740, 554, 665, 2866, 1590, 4061, 581, 4481, 2966, 547, 1246, 519, 4807, 538, 713, 10347, 5123, 267, 971, 607, 519, 3126, 540, 28218, 631, 6865, 23736, 267, 2813, 676, 7910, 15765, 267, 799, 666, 581, 4553, 593, 519, 1007, 20424, 5562, 516, 23728, 2593, 3760, 269, 634, 10022, 9311, 625, 2503, 656, 11299, 2394, 519, 1439, 540, 32460, 543, 1310, 27638, 267, 609, 513, 2619, 5258, 883, 476, 276, 12405, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1480, 4966, 786, 4612, 707, 10566, 19199, 1369, 3764, 267, 1554, 610, 3781, 269, 8347, 856, 519, 1627, 3315, 813, 585, 1863, 2221, 256, 0, 3682, 3865, 532, 689, 707, 1702, 540, 11118, 1108, 630, 817, 612, 539, 538, 606, 3606, 12411, 520, 652, 9074, 18631, 519, 1576, 264, 596, 786, 581, 2111, 547, 21028, 519, 2185, 2596, 8031, 281, 13423, 3559, 807, 630, 663, 15374, 1070, 24561, 5160, 630, 663, 922, 1016, 18196, 20162, 543, 5642, 1070, 4887, 8031, 267, 543, 8401, 5160, 282, 596, 666, 2012, 519, 8031, 543, 2491, 741, 1599, 4433, 1916, 2791, 786, 581, 2111, 547, 21028, 543, 2491, 519, 7907, 540, 8106, 543, 2413, 17209, 2553, 630, 324, 3052, 269, 1769, 19985, 6475, 268, 543, 1476, 5914, 22794, 264, 4294, 547, 1353, 8031, 543, 8219, 630, 325, 12089, 610, 2713, 1916, 2791, 786, 1451, 547, 1118, 519, 8144, 689, 476, 273, 8820, 21339, 630, 1492, 30000, 5160, 264, 547, 741, 5169, 538, 476, 274, 8820, 8031, 563, 2791, 786, 581, 2111, 547, 21028, 519, 2185, 2596, 8031, 538, 1950, 21339, 630, 514, 585, 3236, 513, 3296, 540, 513, 10856, 2212, 609, 2960, 267, 5642, 543, 8229, 5160, 264, 543, 2491, 543, 2285, 7440, 585, 741, 3252, 563, 2791, 666, 2491, 543, 5815, 519, 11186, 4247, 540, 2281, 538, 513, 5160, 543, 540, 8031, 538, 1950, 8219, 543, 3589, 3252, 540, 2281, 543, 8031, 563, 763, 1576, 2048, 9303, 1108, 685, 17648, 596, 723, 630, 2181, 268, 264, 32474, 540, 1591, 17011, 267, 1591, 16052, 17066, 267, 11118, 18929, 13987, 2073, 519, 13540, 543, 7576, 565, 639, 267, 26503, 267, 11315, 543, 5347, 1439, 32194, 1427, 545, 4918, 267, 30110, 22080, 1950, 630, 513, 12411, 520, 652, 9074, 786, 581, 6035, 1354, 1376, 540, 519, 1576, 264, 547, 2491, 519, 2027, 31907, 540, 519, 2185, 2596, 8031, 281, 13423, 3559, 807, 267, 24561, 8031, 267, 4887, 8031, 543, 8401, 5160, 269, 10552, 607, 513, 24561, 5160, 609, 513, 5714, 5119, 786, 581, 9619, 538, 519, 1576, 2048, 14549, 10334, 685, 538, 1627, 275, 269, 634, 1277, 1108, 540, 519, 2596, 8031, 568, 11609, 609, 1806, 540, 3232, 1272, 971, 607, 2360, 540, 2866, 543, 8516, 593, 519, 29648, 31100, 17102, 267, 20162, 14796, 267, 21404, 543, 1644, 3688, 9619, 538, 2487, 14786, 4586, 763, 1576, 10039, 519, 6240, 540, 2048, 4148, 6235, 519, 1362, 4055, 685, 281, 519, 2875, 22316, 3584, 609, 1489, 540, 513, 8261, 543, 2243, 18311, 676, 2542, 4143, 11271, 689, 2048, 21801, 4302, 4275, 779, 9978, 2876, 1108, 630, 17806, 543, 25304, 267, 2185, 18818, 9990, 610, 2663, 264, 543, 12411, 520, 652, 13838, 543, 1287, 5205, 519, 1644, 15872, 269, 769, 4052, 338, 267, 609, 1489, 540, 3450, 4217, 757, 267, 519, 1053, 1353, 1483, 15013, 540, 519, 2596, 8031, 676, 1769, 22794, 269, 10572, 5711, 11400, 616, 22555, 547, 1246, 519, 1353, 3356, 540, 519, 1053, 454, 268, 8682, 24713, 344, 10467, 630, 22372, 593, 2055, 538, 519, 1576, 8261, 543, 2542, 519, 1257, 1433, 994, 268, 5843, 2675, 4878, 22475, 630, 332, 663, 2218, 994, 268, 8950, 22475, 630, 309, 619, 520, 652, 994, 347, 11947, 3427, 1377, 1277, 1108, 267, 12411, 520, 652, 9074, 11118, 1108, 630, 304, 273, 10245, 347, 981, 267, 12523, 585, 476, 3445, 9077, 5934, 3446, 476, 276, 269, 271, 454, 18314, 5711, 11400, 267, 1293, 585, 476, 1015, 9077, 1100, 5934, 3446, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 972, 729, 513, 7874, 4387, 3957, 10793, 945, 5030, 538, 513, 2462, 2749, 4904, 609, 7381, 5656, 543, 6266, 540, 1004, 269, 3220, 269, 10793, 729, 513, 2027, 2186, 540, 4387, 1572, 513, 2618, 6139, 1905, 626, 267, 799, 5921, 646, 5280, 1004, 2911, 827, 741, 4606, 543, 4555, 865, 789, 1223, 1745, 1732, 269, 1261, 1031, 1945, 1572, 6530, 547, 1174, 875, 1004, 781, 8186, 5249, 780, 3080, 1554, 267, 1247, 6972, 998, 519, 6288, 267, 3220, 269, 10793, 4718, 513, 2370, 8004, 9361, 4805, 593, 513, 14541, 269, 2701, 6743, 8909, 267, 865, 646, 4682, 936, 543, 4280, 952, 1352, 4941, 547, 2911, 269, 634, 2370, 8004, 1767, 1200, 2012, 729, 21667, 543, 602, 1352, 5433, 24949, 1317, 9039, 540, 519, 3214, 693, 1153, 1131, 1404, 609, 1200, 1282, 12424, 780, 7804, 269, 10793, 19557, 5402, 607, 21667, 5143, 1864, 782, 827, 1200, 4606, 269, 3973, 267, 1210, 1018, 646, 6785, 827, 6530, 267, 646, 6045, 547, 21667, 602, 3006, 950, 649, 1745, 2451, 856, 610, 16053, 267, 621, 666, 1118, 721, 1745, 8909, 543, 13347, 269, 1809, 646, 849, 18056, 1200, 602, 3025, 814, 2189, 7907, 602, 1118, 873, 2027, 543, 17709, 540, 11505, 269, 8625, 267, 789, 14437, 827, 930, 1919, 21667, 17329, 827, 9887, 910, 899, 1200, 2648, 585, 5373, 543, 13465, 269, 1635, 2519, 593, 891, 2318, 7592, 267, 21667, 3323, 4743, 513, 3787, 1732, 780, 2026, 789, 4797, 6158, 267, 3220, 269, 10793, 5189, 21667, 547, 513, 1523, 1572, 30123, 5306, 3797, 269, 898, 781, 513, 1259, 540, 3168, 693, 3871, 1141, 3388, 568, 2938, 607, 851, 540, 513, 2898, 3079, 540, 1175, 1367, 4773, 269, 1677, 948, 21667, 1174, 713, 2856, 267, 646, 4951, 1200, 606, 11945, 3529, 7404, 780, 257, 8450, 1346, 13212, 8119, 646, 4280, 269, 834, 5445, 1810, 1405, 2291, 10446, 282, 789, 616, 4448, 547, 8371, 267, 799, 616, 4448, 547, 519, 17657, 267, 543, 1287, 547, 519, 5072, 11895, 269, 2353, 891, 2694, 2097, 1927, 547, 1711, 835, 4190, 11945, 3529, 3010, 1103, 519, 1482, 1259, 267, 3220, 269, 10793, 6045, 267, 938, 4664, 267, 4555, 267, 543, 2833, 616, 10562, 267, 8108, 513, 2347, 4605, 540, 945, 649, 616, 269, 1879, 649, 1445, 1932, 1454, 593, 2942, 2621, 630, 3697, 711, 2348, 2828, 547, 1404, 609, 1070, 621, 666, 581, 2182, 547, 1294, 519, 8273, 4605, 1107, 855, 1620, 713, 4276, 2337, 721, 5660, 6000, 811, 4628, 780, 30342, 8049, 267, 21667, 4280, 267, 834, 1692, 1281, 713, 4019, 547, 803, 12482, 7804, 269, 10793, 14452, 267, 834, 11039, 267, 596, 1522, 1589, 707, 20420, 11225, 596, 1318, 1631, 267, 855, 3314, 602, 621, 781, 1152, 835, 4062, 540, 519, 11015, 269, 1411, 849, 723, 1082, 8748, 15421, 543, 4690, 256, 1924, 1256, 1498, 1818, 1007, 2828, 949, 1491, 930, 942, 267, 1832, 14637, 707, 1378, 2208, 543, 1646, 267, 1175, 899, 519, 11945, 3529, 269, 1656, 4166, 2614, 267, 1866, 786, 5469, 707, 5898, 543, 1616, 547, 2671, 538, 922, 5613, 3010, 299, 1075, 344, 20493, 543, 9684, 539, 3220, 269, 10793, 585, 7713, 1919, 865, 5693, 269, 3245, 602, 1554, 4464, 267, 8164, 1352, 5433, 1524, 267, 1352, 15422, 741, 6643, 543, 5059, 593, 1200, 9342, 2864, 982, 23029, 593, 1200, 9620, 269, 769, 3257, 865, 267, 1352, 1336, 7772, 538, 1200, 12348, 543, 5555, 1500, 1896, 17681, 2828, 945, 15874, 1200, 585, 945, 1352, 5963, 729, 780, 4517, 1169, 2899, 538, 513, 1247, 267, 21667, 1131, 3643, 3220, 269, 10793, 538, 519, 6288, 267, 4687, 2984, 540, 1200, 9035, 543, 22348, 1142, 824, 602, 1256, 950, 5185, 609, 2591, 267, 8508, 938, 627, 565, 8864, 666, 1291, 547, 8788, 543, 20106, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6944, 757, 2340, 503, 355, 4945, 547, 2824, 11271, 454, 763, 5617, 773, 591, 568, 519, 20868, 543, 669, 3739, 3020, 1650, 540, 3220, 269, 3627, 27963, 269, 901, 900, 5799, 12370, 31897, 543, 17240, 12688, 15356, 1700, 7773, 940, 1979, 19212, 1981, 539, 1010, 4876, 547, 8495, 519, 7613, 540, 1480, 13341, 609, 30659, 543, 547, 2285, 17258, 547, 519, 588, 340, 701, 325, 3539, 8941, 3838, 676, 1004, 945, 941, 19039, 569, 18617, 789, 1185, 5949, 563, 301, 5847, 538, 27963, 779, 2185, 5756, 540, 2618, 17226, 1185, 5423, 1864, 585, 519, 824, 16447, 569, 6589, 540, 513, 3444, 16687, 540, 8103, 1519, 1762, 1453, 945, 4080, 1373, 3144, 1996, 741, 786, 338, 676, 9813, 7919, 269, 3683, 519, 1576, 540, 1010, 4876, 1010, 1719, 538, 9813, 705, 9134, 8057, 689, 7279, 547, 4898, 267, 6038, 3384, 883, 513, 3970, 1652, 267, 26772, 6612, 563, 17780, 593, 12600, 1569, 547, 27963, 779, 21517, 267, 13746, 267, 543, 17867, 4967, 543, 11042, 609, 1010, 1920, 543, 14191, 27498, 267, 634, 5617, 773, 591, 8761, 519, 1272, 543, 960, 540, 513, 812, 945, 8268, 519, 27811, 540, 3621, 598, 1495, 337, 4548, 543, 2417, 5012, 721, 547, 519, 6456, 546, 830, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 31499, 1315, 30123, 5306, 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, 8080, 547, 938, 3408, 540, 2480, 2100, 5004, 538, 5303, 1299, 7177, 256, 4653, 267, 649, 786, 4685, 883, 513, 4241, 1523, 602, 2337, 721, 1174, 875, 8030, 543, 1788, 9946, 960, 1927, 547, 1711, 5863, 1919, 899, 13123, 267, 1236, 903, 322, 1905, 619, 267, 3381, 3756, 267, 543, 1256, 14361, 256, 5620, 596, 2479, 9289, 875, 1346, 7372, 3785, 2097, 547, 1272, 286, 4270, 267, 621, 6238, 609, 1620, 543, 5883, 741, 9165, 269, 1924, 1577, 781, 2253, 2439, 5331, 596, 2811, 4058, 707, 5326, 14512, 5428, 269, 1411, 723, 865, 1082, 3579, 2093, 910, 23598, 267, 1426, 267, 3756, 267, 18136, 2828, 267, 6148, 1256, 17849, 513, 4012, 6509, 256, 2334, 3003, 1544, 540, 1018, 596, 1616, 693, 707, 5428, 568, 1572, 922, 1412, 2675, 2100, 9538, 1809, 1631, 267, 1589, 827, 875, 2352, 621, 1131, 581, 547, 10891, 3388, 1510, 1818, 513, 2312, 1592, 540, 4247, 543, 9021, 269, 5808, 786, 3142, 519, 14735, 286, 7316, 798, 596, 1616, 547, 1305, 909, 519, 3756, 286, 1215, 1454, 16741, 1058, 596, 1931, 286, 9453, 8840, 1524, 891, 3334, 267, 707, 5326, 5428, 1223, 2490, 883, 14784, 780, 763, 1482, 2856, 10039, 547, 1804, 2029, 543, 4702, 3785, 256, 19296, 991, 547, 5581, 519, 1788, 781, 9165, 547, 917, 4010, 1018, 789, 3513, 1628, 267, 5838, 267, 543, 9585, 269, 901, 1259, 267, 3025, 3238, 17358, 741, 5107, 543, 666, 1445, 593, 8236, 1808, 3853, 269, 2913, 781, 1413, 693, 513, 1483, 8996, 1383, 547, 1294, 713, 538, 2962, 780, 306, 599, 513, 2319, 6499, 547, 4020, 513, 1007, 19209, 538, 707, 8378, 6288, 269, 1677, 4383, 519, 1788, 3927, 267, 789, 1590, 3313, 519, 1739, 1384, 265, 1548, 3937, 786, 581, 3769, 630, 1873, 902, 267, 15942, 267, 24564, 13063, 25145, 265, 4024, 972, 581, 1022, 2189, 2934, 630, 320, 16246, 3774, 267, 513, 5070, 7901, 1858, 25145, 265, 6904, 2326, 786, 789, 946, 630, 6229, 267, 4496, 267, 5068, 25145, 265, 3657, 972, 3106, 4170, 610, 6042, 547, 1246, 888, 265, 1215, 1279, 786, 4070, 1491, 888, 265, 1548, 568, 519, 6578, 585, 519, 1788, 2496, 3528, 16460, 891, 2055, 267, 519, 2319, 11225, 519, 1788, 779, 9165, 543, 5849, 3025, 1568, 2509, 519, 1482, 6859, 269, 3807, 899, 12180, 707, 14512, 5428, 267, 10747, 519, 9165, 2306, 2462, 3785, 811, 19242, 780, 3086, 596, 949, 4898, 267, 1946, 1281, 6616, 519, 9165, 2339, 286, 4208, 666, 1405, 6887, 1175, 1376, 2679, 1318, 2476, 286, 5994, 3843, 547, 4020, 513, 16945, 1071, 2120, 1510, 14045, 1141, 621, 4422, 267, 875, 7381, 621, 786, 581, 267, 610, 875, 3728, 621, 786, 2951, 269, 24755, 657, 267, 10539, 267, 543, 24906, 2200, 1131, 1267, 269, 1635, 5693, 10747, 519, 9165, 267, 8030, 543, 1788, 9946, 4688, 942, 267, 2724, 267, 543, 4674, 1247, 4180, 3811, 12032, 780, 3719, 7227, 1765, 2889, 915, 338, 1419, 1689, 267, 1318, 286, 6884, 1004, 7662, 3606, 2934, 610, 11941, 2059, 519, 1259, 269, 3143, 19048, 256, 4787, 2683, 4648, 3950, 2242, 1210, 1945, 1572, 7827, 10671, 3949, 269, 1452, 13668, 1450, 873, 547, 6218, 1761, 12381, 1996, 519, 3312, 9165, 543, 6430, 2436, 547, 3398, 610, 7947, 873, 1759, 593, 23250, 267, 1942, 267, 543, 8430, 1764, 269, 1403, 7608, 267, 519, 8242, 9165, 10274, 519, 1964, 540, 519, 1788, 780, 3383, 3314, 267, 950, 25054, 593, 606, 16529, 20089, 899, 8888, 513, 6249, 6288, 610, 22745, 513, 9682, 267, 2141, 2015, 2480, 2100, 5004, 256, 22682, 7291, 1018, 2115, 547, 581, 12913, 267, 4125, 707, 2319, 538, 17975, 519, 3877, 267, 543, 3082, 30780, 950, 2242, 8451, 269, 2060, 1434, 9165, 2359, 1983, 896, 707, 12966, 267, 596, 3513, 581, 1134, 9280, 547, 10994, 1950, 2591, 543, 1291, 5499, 3785, 2429, 707, 2104, 6639, 9035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 4040, 538, 693, 519, 1283, 568, 4702, 1107, 799, 1522, 9983, 596, 267, 855, 519, 9165, 540, 4702, 568, 5458, 543, 11097, 2287, 782, 540, 519, 942, 269, 476, 2420, 260, 540, 519, 1158, 781, 1283, 476, 1911, 5479, 320, 2231, 6594, 930, 2186, 540, 4702, 269, 11204, 16724, 24883, 590, 3916, 267, 945, 568, 4502, 1472, 1269, 7367, 5479, 267, 6594, 6406, 7177, 563, 1103, 6626, 2474, 267, 519, 8804, 543, 5092, 3924, 814, 519, 1034, 2929, 320, 2231, 269, 898, 849, 814, 519, 1034, 5479, 320, 2231, 267, 609, 476, 4391, 272, 269, 3371, 781, 513, 1592, 540, 519, 5722, 1655, 11678, 952, 596, 1616, 547, 581, 513, 2929, 18311, 563, 2080, 616, 519, 1034, 1455, 1912, 269, 667, 4732, 4371, 676, 1977, 5479, 320, 2231, 281, 25811, 1359, 269, 476, 280, 5479, 320, 2231, 1923, 31838, 2875, 281, 681, 2345, 327, 570, 269, 273, 630, 339, 773, 1040, 8950, 2257, 269, 273, 630, 339, 773, 1040, 10334, 5861, 13511, 269, 476, 276, 5479, 320, 2231, 1923, 31838, 2875, 281, 7671, 700, 879, 330, 1329, 18121, 273, 269, 278, 5479, 1070, 16628, 540, 3621, 7405, 20536, 25362, 12027, 29651, 269, 30125, 563, 15575, 532, 782, 5232, 267, 12370, 2160, 2501, 538, 1101, 1747, 538, 2474, 540, 519, 2698, 1297, 540, 5479, 18311, 620, 30282, 269, 634, 2160, 540, 12425, 2501, 538, 1101, 952, 1152, 20277, 781, 5232, 616, 18886, 267, 11063, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9928, 2100, 5004, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 5741, 5004, 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, 20821, 6424, 21025, 9519, 267, 513, 1360, 2027, 2186, 540, 7172, 4115, 945, 814, 6131, 1010, 1272, 547, 10655, 543, 2921, 1416, 540, 4686, 2835, 543, 22251, 256, 1411, 1522, 1589, 782, 7172, 12579, 798, 713, 267, 855, 950, 649, 2161, 834, 571, 516, 2437, 649, 1611, 621, 269, 1452, 5749, 1405, 707, 2834, 5399, 2835, 282, 789, 616, 2189, 16782, 602, 2995, 721, 2984, 827, 1686, 267, 2528, 267, 543, 1004, 689, 1279, 3516, 780, 5331, 4466, 513, 1433, 602, 781, 936, 476, 4335, 1296, 2025, 1107, 922, 3817, 5835, 539, 543, 10347, 267, 4904, 609, 1688, 25740, 1913, 543, 4190, 12383, 269, 2107, 6148, 1256, 5022, 2854, 676, 4583, 3140, 5515, 899, 6723, 6115, 610, 15751, 18160, 256, 2334, 781, 1018, 6424, 22939, 1010, 942, 2324, 593, 1107, 12423, 891, 10475, 3688, 267, 1818, 2386, 789, 2063, 11014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 562, 727, 318, 639, 340, 9222, 5560, 580, 924, 2187, 825, 513, 815, 1412, 287, 7055, 825, 1007, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 5560, 580, 924, 15892, 1038, 952, 513, 2652, 2007, 924, 5157, 14158, 2018, 1247, 1775, 13843, 476, 271, 912, 3546, 1007, 6910, 5560, 580, 924, 5157, 7481, 3546, 1775, 20699, 476, 272, 3546, 454, 2018, 2132, 1775, 454, 17264, 0, 3698, 5705, 2350, 7776, 318, 1372, 8217, 553, 630, 4289, 320, 272, 267, 4289, 320, 273, 2187, 825, 30458, 284, 11713, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 17338, 320, 272, 2187, 1038, 952, 30458, 272, 5157, 316, 538, 30458, 273, 912, 2018, 30458, 6910, 17338, 320, 272, 5157, 7481, 1038, 1775, 23785, 272, 454, 825, 2132, 30458, 0, 3698, 2301, 320, 6958, 756, 20906, 3799, 2187, 825, 535, 328, 815, 314, 271, 30297, 333, 454, 825, 535, 328, 314, 271, 316, 815, 476, 272, 454, 825, 535, 328, 314, 272, 316, 815, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 535, 5157, 316, 815, 535, 5157, 268, 272, 316, 1341, 535, 328, 5157, 268, 273, 2639, 825, 2132, 535, 328, 0, 767, 665, 573, 1228, 284, 15615, 9272, 2891, 304, 783, 513, 27922, 573, 1228, 8119, 4917, 767, 334, 14352, 767, 665, 573, 1228, 268, 3199, 12684, 276, 454, 604, 27922, 573, 1228, 285, 3199, 912, 825, 1820, 2891, 20123, 320, 632, 2580, 260, 767, 334, 454, 12828, 912, 825, 1820, 2891, 301, 14244, 9087, 328, 1617, 5964, 8442, 0, 3698, 552, 327, 318, 1440, 24982, 16325, 3266, 2187, 825, 2215, 641, 541, 815, 476, 273, 454, 825, 6305, 10098, 574, 1706, 815, 476, 274, 454, 825, 1247, 1003, 3266, 4939, 2215, 641, 541, 11203, 476, 271, 543, 6305, 10098, 574, 1706, 2999, 1003, 3266, 543, 1003, 3266, 4939, 6305, 10098, 574, 1706, 11203, 271, 543, 1003, 3266, 11203, 476, 271, 610, 1003, 3266, 2652, 2215, 641, 541, 610, 1003, 3266, 2652, 476, 274, 912, 1038, 6305, 10098, 574, 1706, 6834, 476, 273, 454, 1038, 952, 6305, 10098, 574, 1706, 13843, 1003, 3266, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 2215, 657, 318, 550, 516, 5416, 267, 536, 2187, 825, 3067, 573, 1228, 318, 1372, 318, 27146, 657, 815, 476, 271, 454, 825, 1535, 815, 513, 454, 825, 1247, 1535, 10922, 536, 912, 1038, 952, 552, 327, 318, 1440, 24982, 3287, 2187, 2018, 3067, 573, 1228, 318, 1372, 318, 27146, 657, 6834, 476, 272, 454, 1038, 1535, 6834, 476, 272, 454, 825, 2132, 3067, 573, 1228, 318, 1372, 318, 27146, 657, 0, 1998, 528, 284, 15615, 9272, 3488, 304, 783, 522, 27089, 13005, 733, 320, 286, 1412, 4917, 1998, 528, 318, 1015, 335, 1911, 284, 271, 269, 272, 265, 1998, 528, 454, 1998, 528, 4671, 4973, 284, 1998, 528, 266, 1998, 528, 318, 1015, 335, 1911, 454, 2745, 3488, 11749, 528, 13005, 733, 320, 635, 476, 1015, 260, 281, 681, 259, 2715, 271, 281, 273, 325, 20467, 8339, 8971, 263, 1998, 528, 4671, 4973, 4297, 0, 3698, 552, 327, 318, 1440, 24982, 16325, 2187, 825, 733, 11456, 284, 476, 273, 454, 825, 952, 1003, 2525, 272, 610, 1003, 2525, 271, 912, 1038, 2132, 8771, 454, 825, 1247, 733, 11456, 283, 11133, 912, 1038, 952, 1003, 260, 4186, 11456, 2525, 271, 912, 2018, 2132, 8771, 454, 1038, 952, 733, 11456, 2525, 273, 912, 2018, 733, 11456, 23785, 272, 454, 1038, 3116, 912, 2018, 733, 11456, 23785, 273, 454, 825, 2132, 6936, 3097, 3698, 12103, 1640, 318, 1440, 24982, 318, 5443, 528, 318, 4302, 3799, 2187, 825, 952, 562, 27045, 272, 912, 1038, 2132, 910, 272, 454, 825, 1247, 552, 327, 318, 1440, 24982, 3799, 264, 2652, 8771, 912, 1038, 562, 268, 284, 272, 454, 825, 2132, 562, 28329, 13872, 13872, 13872, 672, 0, 11420, 3873, 815, 1412, 9188, 626, 334, 262, 3097, 25659, 822, 571, 284, 3403, 3488, 6226, 924, 579, 2742, 5493, 822, 571, 281, 1412, 264, 3097, 6112, 5493, 822, 571, 256, 284, 11420, 3873, 912, 13537, 18011, 307, 25366, 18051, 3512, 324, 5073, 453, 25659, 822, 571, 284, 3403, 3488, 14707, 924, 579, 2742, 5493, 822, 571, 281, 1412, 264, 3097, 604, 5493, 822, 571, 284, 11420, 3873, 912, 13537, 18011, 309, 665, 17845, 1035, 1068, 537, 513, 6845, 3873, 256, 10807, 476, 0, 1998, 528, 284, 15615, 9272, 3488, 304, 783, 9087, 328, 522, 27089, 13005, 733, 320, 286, 1412, 4917, 1690, 755, 5964, 284, 272, 269, 272, 265, 1998, 528, 454, 2745, 3488, 11749, 528, 13005, 733, 320, 635, 476, 1015, 260, 281, 681, 259, 346, 271, 15545, 273, 325, 348, 8339, 8971, 263, 1690, 755, 5964, 4917, 0, 335, 3821, 815, 6936, 692, 6112, 533, 3821, 1384, 825, 6845, 3873, 815, 1193, 9272, 3488, 11900, 4275, 513, 6845, 3873, 281, 1412, 4917, 8931, 825, 952, 6845, 3873, 2652, 1412, 9188, 626, 334, 12466, 1038, 533, 3821, 815, 8771, 454, 1038, 1820, 2891, 309, 665, 17845, 1035, 1068, 537, 513, 6845, 3873, 256, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 590, 1998, 321, 731, 6079, 29256, 814, 4607, 513, 2698, 540, 476, 14138, 267, 4366, 275, 2030, 4719, 2326, 865, 2484, 269, 634, 5767, 1079, 6928, 906, 941, 2366, 676, 15096, 2752, 6395, 779, 17055, 2637, 20623, 1678, 12243, 538, 5239, 476, 1001, 274, 543, 5988, 476, 1001, 275, 1256, 607, 519, 7965, 3136, 538, 16850, 269, 0, 1607, 568, 1018, 4505, 9082, 1572, 519, 6797, 269, 1358, 6444, 602, 519, 6797, 729, 1271, 547, 741, 1072, 543, 1223, 1294, 519, 2596, 3347, 1063, 922, 1599, 543, 875, 789, 5433, 269, 4256, 2070, 540, 519, 6797, 3769, 513, 3661, 602, 519, 6797, 729, 519, 10160, 540, 938, 4664, 543, 10100, 269, 20506, 7664, 268, 15105, 519, 6797, 1454, 607, 1004, 1224, 27374, 2443, 1256, 3262, 689, 27859, 547, 10255, 543, 7507, 269, 3414, 1624, 738, 14169, 267, 649, 917, 602, 4704, 729, 1373, 1500, 547, 519, 7287, 1560, 11218, 540, 519, 2168, 6797, 269, 15742, 569, 4505, 1004, 941, 2953, 538, 1620, 519, 6797, 781, 2956, 547, 938, 4703, 563, 763, 6797, 568, 865, 1271, 602, 952, 621, 568, 711, 2324, 1318, 267, 824, 8219, 2253, 2324, 9875, 538, 1931, 547, 1118, 909, 585, 1018, 519, 6797, 568, 711, 3257, 269, 634, 824, 8219, 12483, 267, 4611, 538, 1082, 540, 519, 2589, 540, 4576, 269, 3509, 1072, 4648, 3494, 602, 606, 856, 6361, 19195, 6797, 568, 835, 5057, 540, 1082, 540, 519, 19210, 525, 649, 1995, 563, 2252, 649, 4952, 519, 15532, 543, 16209, 602, 4163, 938, 1973, 607, 513, 6806, 5547, 8322, 25523, 1188, 267, 649, 1223, 1134, 1589, 540, 519, 6797, 607, 513, 2838, 834, 335, 527, 3247, 257, 593, 519, 5547, 269, 634, 1973, 1590, 1780, 998, 713, 2638, 4812, 267, 543, 950, 621, 1281, 621, 568, 5423, 585, 1776, 5547, 269, 634, 6797, 568, 2966, 547, 798, 713, 7561, 563, 763, 6797, 568, 7768, 540, 827, 476, 1911, 267, 1822, 6797, 10981, 2737, 267, 799, 616, 20425, 3889, 1447, 982, 606, 10759, 1279, 269, 589, 10981, 2544, 568, 1500, 540, 646, 31154, 10824, 630, 515, 31154, 3274, 1797, 6797, 264, 602, 2270, 513, 1297, 540, 6797, 2281, 563, 27001, 891, 10824, 540, 6797, 2281, 616, 519, 646, 31154, 18980, 6950, 267, 1225, 11803, 834, 10139, 720, 1811, 257, 602, 1450, 1973, 547, 2095, 1472, 519, 6797, 2281, 269, 9737, 519, 18980, 6950, 543, 646, 31154, 10824, 616, 2027, 2281, 1572, 519, 918, 1575, 742, 518, 2281, 602, 666, 7558, 4551, 543, 824, 4914, 2339, 1336, 538, 519, 1973, 269, 1879, 1973, 8928, 1063, 519, 646, 31154, 10824, 267, 621, 568, 18274, 539, 540, 5739, 543, 11991, 2339, 563, 2026, 649, 1522, 1118, 513, 8486, 3247, 585, 519, 7727, 2139, 267, 865, 519, 1560, 3096, 519, 6797, 607, 513, 4859, 4055, 269, 898, 568, 519, 2101, 1973, 4859, 1770, 540, 519, 1560, 267, 3622, 5627, 827, 835, 533, 842, 540, 1973, 267, 610, 827, 4557, 2600, 540, 519, 2698, 1973, 4320, 269, 901, 4859, 12588, 11226, 721, 950, 649, 6336, 1973, 269, 1280, 1383, 267, 952, 513, 20178, 720, 4386, 267, 519, 1973, 4503, 689, 519, 30057, 1062, 568, 8719, 676, 519, 13111, 540, 1973, 538, 519, 6797, 269, 901, 13111, 540, 1973, 568, 849, 5950, 950, 649, 3635, 8185, 563, 763, 6797, 849, 8637, 8324, 543, 4401, 269, 634, 6797, 8637, 2614, 6171, 589, 547, 2061, 513, 6171, 589, 10638, 585, 607, 1279, 607, 476, 1015, 3275, 267, 2614, 6171, 667, 547, 2061, 513, 10638, 585, 476, 274, 547, 476, 275, 3275, 267, 543, 2614, 6171, 645, 268, 273, 547, 2061, 513, 10638, 585, 513, 1032, 610, 1256, 1896, 1296, 269, 11635, 568, 6740, 538, 519, 6797, 538, 519, 1106, 540, 7542, 761, 514, 269, 1879, 707, 1560, 2115, 4401, 267, 7542, 761, 514, 13847, 519, 4401, 6740, 538, 519, 6797, 563, 4002, 922, 7552, 2429, 938, 1560, 267, 938, 1973, 26717, 909, 513, 2603, 540, 4430, 267, 543, 693, 2053, 5739, 267, 9126, 16372, 269, 901, 9126, 16372, 2882, 4551, 267, 5061, 267, 543, 10399, 267, 607, 1134, 607, 851, 540, 519, 909, 3562, 268, 1428, 6550, 540, 6464, 602, 4892, 1102, 12787, 593, 2933, 1169, 1032, 269, 1452, 6464, 1331, 519, 1082, 5841, 21187, 1031, 547, 8190, 3536, 543, 834, 574, 2889, 557, 257, 741, 5920, 269, 5410, 14476, 971, 607, 645, 12487, 267, 645, 11190, 267, 9770, 24277, 267, 543, 9049, 294, 2097, 547, 2247, 267, 607, 1134, 607, 24470, 543, 5841, 6653, 22211, 269, 634, 6797, 18788, 713, 11991, 543, 693, 2053, 5739, 9126, 16372, 689, 938, 4703, 269, 1403, 519, 6797, 568, 711, 8647, 543, 20358, 539, 609, 891, 21187, 267, 649, 1522, 1995, 30724, 3878, 267, 3154, 267, 543, 14159, 1928, 563, 2691, 649, 1118, 513, 8486, 3247, 267, 649, 849, 4492, 909, 269, 1879, 649, 798, 865, 267, 649, 1616, 547, 946, 519, 4492, 607, 7561, 607, 2009, 269, 634, 6797, 1281, 713, 998, 10307, 269, 5450, 29440, 568, 519, 3157, 602, 1118, 621, 2009, 585, 938, 2281, 547, 3136, 2713, 269, 5450, 29440, 9397, 1524, 519, 3536, 649, 3548, 883, 2241, 3029, 602, 666, 581, 9927, 883, 519, 1648, 938, 2281, 991, 269, 3776, 4703, 946, 713, 1648, 547, 1847, 6091, 267, 7558, 1426, 267, 543, 824, 3252, 2987, 2110, 267, 547, 2661, 269, 634, 6797, 2242, 11950, 267, 9600, 267, 543, 5946, 883, 1648, 563, 10666, 476, 3393, 260, 540, 519, 8477, 538, 606, 3328, 1977, 2732, 2097, 689, 11950, 269, 6201, 540, 11950, 1331, 3694, 267, 2250, 553, 267, 12277, 267, 5388, 267, 543, 4829, 269, 898, 568, 3976, 5393, 1271, 602, 938, 4703, 666, 2490, 891, 3536, 883, 1648, 269, 2290, 1259, 519, 6797, 2337, 721, 609, 19346, 1648, 568, 676, 5329, 519, 2953, 2179, 540, 7280, 630, 338, 13610, 264, 538, 519, 1973, 269, 1879, 649, 3548, 11950, 267, 938, 1973, 7280, 1377, 14380, 14320, 269, 3776, 2281, 946, 930, 540, 519, 7280, 585, 7525, 1648, 267, 543, 519, 6797, 2242, 519, 3063, 7280, 883, 25026, 4094, 267, 799, 568, 6740, 538, 519, 6797, 543, 6091, 269, 634, 6797, 2242, 713, 834, 31162, 15200, 1648, 257, 1394, 883, 7280, 950, 938, 1560, 17767, 602, 938, 1973, 4006, 568, 1970, 269, 634, 6797, 849, 7140, 9600, 543, 5946, 883, 11950, 269, 1879, 938, 1973, 4006, 568, 1970, 267, 9600, 543, 5946, 666, 581, 4957, 883, 11950, 543, 1287, 883, 7280, 547, 2285, 721, 519, 1973, 4006, 543, 1648, 602, 649, 991, 563, 5194, 476, 2412, 547, 476, 3393, 260, 540, 938, 2732, 568, 3170, 269, 634, 6797, 2242, 713, 3170, 883, 1648, 676, 24590, 519, 9600, 883, 741, 1079, 5057, 2694, 267, 9848, 1356, 565, 543, 9761, 7408, 269, 634, 6797, 849, 3302, 999, 9600, 689, 4430, 11950, 269, 1879, 649, 8532, 1932, 1082, 11950, 547, 946, 585, 1648, 610, 547, 4558, 607, 25026, 4094, 267, 519, 6797, 666, 2981, 873, 547, 9600, 269, 901, 1797, 711, 15603, 4430, 11950, 979, 547, 3653, 269, 11569, 267, 519, 3328, 1268, 814, 2673, 547, 476, 5611, 2053, 607, 1454, 1648, 6740, 607, 3170, 607, 11950, 563, 763, 6797, 849, 4249, 606, 1271, 1909, 538, 4657, 3940, 883, 1648, 269, 10251, 267, 950, 519, 6797, 1281, 713, 267, 835, 540, 519, 2164, 568, 519, 5250, 540, 1804, 5666, 540, 20342, 267, 513, 14686, 676, 1790, 6055, 602, 1590, 581, 6569, 689, 519, 1560, 269, 1677, 4894, 713, 8914, 267, 519, 6797, 3029, 579, 16699, 267, 513, 5714, 602, 3560, 338, 519, 20342, 856, 540, 519, 1560, 3842, 519, 17256, 8778, 269, 634, 6797, 849, 5932, 827, 476, 3445, 260, 540, 519, 11919, 5946, 538, 938, 1973, 269, 2368, 540, 519, 3334, 540, 891, 5946, 1404, 519, 4102, 1909, 538, 4509, 938, 4761, 1062, 563, 763, 6797, 3302, 999, 543, 5728, 525, 23925, 547, 6882, 856, 13311, 2339, 689, 1973, 543, 5351, 519, 9667, 8778, 269, 901, 23925, 568, 6740, 538, 519, 7086, 31041, 267, 513, 1507, 15090, 11057, 1418, 4092, 1175, 2630, 519, 6797, 269, 634, 23925, 3788, 1934, 2394, 621, 568, 2877, 538, 519, 1507, 16892, 547, 948, 19149, 622, 267, 2736, 1524, 267, 7558, 267, 543, 15849, 30968, 11041, 543, 9600, 269, 634, 23925, 1568, 593, 9600, 1454, 519, 1259, 513, 28052, 550, 1568, 593, 3282, 543, 31294, 31771, 873, 909, 865, 602, 789, 616, 811, 3362, 15702, 543, 1166, 19813, 689, 519, 1062, 269, 1403, 519, 6797, 568, 834, 338, 1584, 18146, 257, 1317, 540, 1932, 1082, 21187, 267, 621, 3112, 3132, 2614, 23925, 547, 7558, 3536, 971, 607, 7423, 267, 10808, 267, 543, 1212, 4461, 269, 901, 666, 1291, 547, 1082, 1072, 2042, 267, 1519, 8377, 269, 645, 850, 849, 568, 1031, 547, 4894, 21536, 597, 889, 514, 267, 519, 5393, 6757, 1439, 1587, 602, 2699, 1973, 2281, 4734, 3297, 950, 789, 723, 6192, 741, 1272, 12732, 563, 10303, 540, 519, 1082, 3252, 519, 6797, 814, 538, 519, 1560, 267, 1022, 23646, 1524, 610, 15059, 540, 519, 6797, 666, 12517, 1860, 721, 269, 5565, 540, 519, 811, 1455, 6797, 3676, 616, 4963, 9071, 2670, 543, 17537, 269, 19449, 9071, 2670, 267, 610, 2182, 2287, 267, 568, 519, 1085, 18732, 540, 6797, 5160, 543, 519, 7222, 31797, 540, 519, 1973, 2095, 269, 901, 25815, 782, 519, 3252, 540, 519, 6797, 267, 799, 666, 1291, 547, 519, 2679, 909, 540, 13802, 538, 519, 1062, 543, 22638, 2669, 269, 15850, 1143, 543, 17537, 666, 2014, 4963, 9071, 2670, 269, 22031, 22807, 568, 513, 10194, 6553, 540, 519, 6797, 563, 2791, 666, 1294, 1946, 621, 568, 1271, 602, 707, 6797, 1599, 693, 476, 1911, 18336, 1692, 666, 596, 948, 286, 634, 15864, 267, 543, 5310, 519, 1655, 1259, 568, 547, 454, 10852, 1555, 513, 1434, 2732, 269, 16202, 7899, 540, 4195, 5388, 543, 5613, 563, 26835, 2476, 689, 4568, 269, 27276, 7899, 540, 15559, 267, 2523, 23238, 563, 26452, 11922, 543, 2898, 1426, 30211, 666, 849, 948, 707, 6797, 563, 8448, 338, 4363, 10433, 3728, 338, 2899, 513, 3923, 269, 21894, 596, 798, 267, 1832, 454, 20365, 6797, 22934, 909, 282, 596, 786, 1265, 3054, 538, 1732, 1072, 543, 454, 5976, 811, 1648, 563, 1765, 681, 904, 689, 519, 14986, 9061, 18225, 267, 4728, 12458, 1440, 559, 267, 476, 1960, 277, 0, 25811, 3579, 1218, 616, 1634, 585, 4509, 606, 18593, 2837, 540, 519, 1286, 267, 3976, 4180, 922, 5347, 543, 3608, 5106, 269, 901, 5714, 568, 2966, 547, 10110, 543, 771, 704, 572, 3002, 6383, 1282, 519, 13674, 1184, 607, 513, 1267, 621, 2337, 2061, 519, 2599, 689, 23986, 908, 543, 24569, 3441, 269, 4746, 1634, 607, 30624, 872, 2763, 267, 2599, 3579, 1218, 2709, 4027, 1996, 16171, 538, 4411, 5210, 543, 14809, 269, 4935, 267, 621, 568, 1271, 547, 1174, 519, 2956, 540, 2599, 3579, 1218, 563, 1432, 568, 606, 2599, 3579, 656, 888, 25811, 3579, 656, 568, 513, 7848, 540, 1216, 543, 6464, 267, 971, 607, 2802, 22005, 28340, 610, 4412, 22005, 28340, 2059, 609, 21187, 602, 2337, 538, 7393, 519, 2773, 540, 519, 1286, 269, 1635, 21716, 543, 22151, 519, 3002, 2476, 689, 519, 2599, 267, 2599, 3579, 1218, 849, 948, 2061, 519, 2112, 4771, 610, 694, 1944, 540, 519, 2599, 269, 3958, 267, 2599, 3579, 656, 568, 513, 2629, 5057, 540, 513, 6174, 779, 9023, 1062, 267, 4730, 513, 1713, 1909, 538, 8497, 519, 2599, 779, 1072, 543, 14438, 563, 3963, 798, 1286, 9817, 991, 2599, 3579, 656, 888, 268, 5422, 3579, 1218, 948, 2226, 519, 6099, 5665, 2837, 540, 519, 2599, 563, 268, 898, 11151, 16171, 543, 14495, 540, 519, 2599, 779, 9023, 1062, 563, 268, 898, 5713, 607, 513, 19149, 656, 585, 519, 1216, 6802, 543, 1978, 824, 3334, 1369, 519, 9023, 1062, 563, 268, 634, 2599, 3579, 1218, 616, 9280, 609, 14809, 20127, 602, 948, 2149, 519, 2599, 779, 4835, 3334, 689, 15309, 543, 14809, 563, 7617, 3579, 656, 1058, 835, 946, 888, 763, 1826, 540, 2599, 3579, 656, 596, 1616, 547, 4584, 585, 519, 1286, 5673, 593, 519, 1118, 267, 2203, 267, 543, 1032, 540, 707, 1286, 269, 2290, 1590, 3277, 547, 519, 10672, 779, 4808, 543, 5077, 707, 6174, 779, 8227, 779, 8261, 547, 4584, 519, 2599, 3579, 656, 563, 2467, 616, 1079, 2010, 540, 3579, 1218, 912, 268, 6599, 22005, 3766, 569, 3712, 2861, 3579, 656, 281, 6599, 22005, 3766, 569, 3712, 2861, 3579, 656, 568, 519, 1034, 1455, 1826, 540, 3579, 656, 1336, 538, 5354, 540, 519, 6517, 269, 1358, 616, 3810, 3608, 538, 22151, 3002, 543, 3246, 19068, 4027, 269, 5047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 1522, 1265, 3054, 593, 513, 1592, 540, 3983, 6494, 619, 596, 1058, 711, 723, 1044, 593, 538, 519, 1101, 1747, 563, 3963, 596, 1058, 2936, 667, 298, 8379, 1948, 454, 2252, 596, 1616, 547, 1628, 513, 1434, 267, 1279, 3856, 10639, 609, 4950, 3028, 7426, 630, 3041, 11679, 264, 543, 1118, 2386, 602, 707, 15737, 2408, 16048, 547, 23700, 267, 1287, 596, 3580, 4324, 689, 7598, 667, 298, 8379, 563, 16352, 15737, 9896, 609, 667, 298, 8379, 25495, 707, 26117, 543, 3972, 10290, 1465, 607, 513, 30699, 267, 799, 2337, 5838, 707, 6835, 547, 513, 18579, 779, 28600, 2864, 982, 547, 741, 22938, 610, 28417, 32766, 269, 3683, 942, 267, 667, 298, 8379, 666, 723, 513, 2318, 1764, 593, 707, 6389, 10639, 267, 5355, 707, 4757, 5838, 1464, 563, 1432, 568, 513, 667, 298, 8379, 2594, 286, 1948, 454, 288, 667, 298, 8379, 2594, 568, 513, 16887, 30149, 22665, 29255, 307, 2594, 602, 8637, 519, 1857, 1883, 547, 581, 1031, 676, 8391, 13875, 13763, 950, 2357, 4328, 513, 5048, 779, 15040, 269, 589, 667, 298, 8379, 2594, 1522, 1413, 1945, 899, 713, 912, 268, 642, 284, 291, 298, 8379, 272, 6920, 519, 667, 298, 8379, 4528, 454, 268, 533, 6920, 519, 519, 1826, 540, 1883, 630, 514, 713, 2013, 267, 1857, 994, 268, 634, 1360, 1279, 5569, 602, 6238, 609, 631, 5456, 325, 7246, 271, 24774, 568, 519, 1857, 1883, 3294, 454, 763, 667, 298, 8379, 2594, 568, 1419, 1500, 2139, 676, 519, 8502, 602, 779, 11488, 707, 4757, 630, 3697, 5403, 5658, 269, 2334, 779, 721, 26461, 489, 5148, 596, 267, 607, 513, 6389, 8227, 267, 786, 1287, 1039, 621, 547, 519, 22665, 5638, 593, 519, 11488, 6389, 563, 1692, 667, 298, 8379, 1568, 1299, 1018, 568, 621, 1031, 585, 1948, 454, 763, 2110, 4528, 281, 667, 298, 8379, 1184, 1568, 7064, 547, 513, 4357, 9706, 3016, 1883, 6292, 267, 543, 3340, 1079, 1292, 3527, 563, 268, 1306, 707, 4757, 568, 6028, 519, 30699, 267, 513, 667, 298, 8379, 15040, 568, 3773, 547, 519, 4757, 543, 17956, 609, 14238, 269, 634, 4757, 4991, 9896, 609, 513, 4357, 1883, 538, 519, 3337, 540, 513, 2189, 2048, 327, 1662, 685, 5569, 540, 3197, 454, 268, 5589, 760, 1304, 13763, 1287, 946, 519, 1857, 1883, 3370, 547, 707, 6389, 779, 22665, 547, 2638, 707, 667, 298, 8379, 15040, 593, 19670, 6835, 269, 4495, 519, 15040, 568, 20240, 609, 519, 1857, 1883, 676, 519, 18579, 267, 519, 5048, 10596, 667, 298, 8379, 543, 568, 2808, 8076, 30147, 1797, 519, 2707, 540, 519, 5048, 814, 1044, 20240, 267, 543, 519, 1560, 7012, 1406, 4957, 538, 18302, 563, 763, 1279, 4528, 912, 2467, 616, 3833, 513, 1906, 3268, 547, 519, 1184, 267, 855, 789, 616, 9090, 1932, 1454, 585, 713, 2985, 9462, 502, 487, 1403, 596, 616, 8049, 543, 4712, 547, 979, 1524, 606, 5393, 5996, 565, 3176, 667, 298, 8379, 15529, 8559, 267, 649, 5206, 513, 1360, 2143, 476, 274, 7302, 1986, 3391, 547, 2491, 875, 519, 2898, 3364, 5638, 960, 563, 5278, 4749, 4280, 2055, 827, 667, 298, 8379, 454, 1432, 779, 519, 3017, 1063, 9501, 293, 267, 667, 298, 8379, 267, 543, 20336, 2752, 290, 286, 258, 1948, 454, 291, 298, 8379, 267, 9501, 293, 267, 543, 20336, 2752, 290, 616, 1614, 4757, 17452, 1949, 602, 2149, 23700, 689, 838, 27980, 267, 1085, 27980, 267, 543, 24401, 1993, 619, 5910, 2056, 547, 581, 2576, 789, 616, 711, 543, 11488, 30081, 13875, 563, 9915, 293, 630, 306, 2658, 8889, 17563, 264, 568, 513, 6389, 2861, 1259, 547, 3313, 1018, 7379, 338, 616, 4847, 547, 6494, 4757, 593, 18825, 779, 15773, 454, 291, 298, 8379, 630, 291, 558, 664, 32368, 5772, 1881, 25357, 264, 568, 513, 5048, 2861, 15040, 602, 3096, 12623, 13240, 25563, 547, 1129, 4757, 543, 13182, 602, 513, 5048, 729, 711, 12012, 538, 18302, 454, 19699, 2752, 290, 630, 291, 558, 664, 2861, 24606, 24956, 1709, 267, 27561, 1299, 1230, 18504, 264, 13976, 593, 1283, 540, 9501, 293, 543, 667, 298, 8379, 543, 4051, 338, 2256, 1392, 547, 29343, 267, 31741, 267, 610, 7947, 4757, 6835, 563, 3674, 1250, 4757, 476, 1911, 260, 2922, 609, 667, 298, 8379, 286, 1948, 454, 763, 2110, 2626, 568, 1100, 281, 1175, 1317, 667, 298, 8379, 10596, 267, 3085, 1406, 1611, 519, 5048, 568, 1657, 27421, 269, 634, 667, 298, 8379, 6178, 1155, 849, 3651, 338, 513, 968, 22529, 1043, 5428, 892, 547, 519, 5048, 269, 1280, 1383, 267, 5403, 5658, 3096, 922, 1378, 6389, 547, 1129, 667, 298, 8379, 585, 1169, 856, 4707, 5048, 267, 543, 2256, 1392, 9260, 5403, 5658, 779, 10639, 2608, 515, 822, 1176, 265, 950, 19003, 13875, 563, 4692, 594, 1869, 6494, 4757, 1510, 4259, 909, 667, 298, 8379, 286, 1948, 454, 291, 298, 8379, 568, 15095, 609, 4540, 4757, 5989, 543, 1568, 609, 9501, 293, 543, 20336, 2752, 290, 547, 1711, 2789, 6106, 540, 3354, 585, 11890, 11488, 15737, 269, 25357, 13763, 602, 1810, 1406, 1489, 667, 298, 8379, 22782, 616, 1869, 2111, 547, 4309, 9896, 6835, 1510, 1022, 2042, 22924, 779, 606, 18593, 3354, 7014, 267, 543, 667, 298, 8379, 568, 711, 513, 24080, 7550, 3044, 269, 0, 11321, 710, 1979, 582, 2135, 1231, 616, 2067, 13802, 3812, 676, 13479, 602, 949, 18645, 538, 6882, 8023, 536, 2526, 557, 30114, 639, 14369, 543, 16872, 543, 616, 9286, 2687, 547, 741, 31916, 4162, 10268, 538, 3425, 543, 11864, 1739, 4616, 269, 9603, 547, 519, 10335, 538, 1494, 1890, 1883, 7286, 1979, 582, 2135, 1231, 616, 14931, 998, 2910, 291, 13052, 1325, 2939, 30213, 4441, 543, 9167, 6042, 17929, 2962, 7182, 723, 1044, 3964, 585, 8650, 4598, 269, 16480, 519, 1455, 2589, 616, 13481, 543, 11591, 21539, 320, 799, 538, 2665, 540, 7646, 883, 343, 1709, 666, 581, 3765, 10972, 30938, 607, 9190, 610, 10194, 1426, 15464, 269, 1677, 4266, 972, 616, 3908, 10368, 2645, 2139, 585, 3498, 676, 782, 8639, 538, 519, 16872, 3761, 5832, 547, 3313, 7286, 1979, 582, 28845, 12526, 585, 1448, 540, 3135, 4152, 269, 769, 513, 2147, 1259, 972, 616, 3908, 10368, 2645, 2139, 585, 19767, 543, 19353, 547, 6895, 4598, 543, 1100, 1808, 1884, 573, 4925, 2139, 269, 7351, 5464, 3292, 616, 14053, 543, 666, 581, 7199, 547, 2226, 543, 3810, 11668, 14021, 269, 966, 4192, 4244, 610, 24045, 2409, 585, 519, 7020, 540, 7286, 1979, 582, 2135, 1231, 616, 2877, 602, 666, 581, 4294, 693, 1448, 540, 3135, 547, 2061, 12526, 10024, 519, 1426, 3761, 5832, 543, 547, 7668, 8639, 538, 1880, 1426, 1870, 12427, 547, 1118, 3664, 593, 16276, 543, 3761, 269, 634, 2949, 2832, 540, 713, 1382, 729, 547, 1374, 543, 4983, 519, 23250, 585, 519, 5464, 540, 7286, 1979, 582, 2135, 1231, 538, 16872, 607, 513, 7347, 1448, 540, 3135, 4152, 7535, 563, 347, 14630, 540, 13815, 1475, 19878, 476, 1708, 272, 2008, 268, 10348, 781, 2160, 645, 1409, 770, 454, 347, 8967, 976, 832, 1475, 301, 4899, 8581, 4972, 585, 519, 19004, 2008, 16085, 10967, 6665, 528, 1475, 298, 520, 27444, 23720, 630, 21841, 6665, 528, 264, 1299, 18332, 11875, 328, 2714, 630, 21841, 6665, 528, 10245, 17637, 1299, 3498, 540, 3209, 2409, 540, 2079, 585, 5464, 7286, 1979, 582, 2135, 1231, 454, 8138, 4135, 267, 631, 269, 630, 12041, 1040, 7325, 476, 1708, 272, 454, 22923, 5098, 281, 16362, 531, 19080, 15955, 16362, 540, 13898, 0, 26596, 20844, 267, 17896, 22656, 454, 16978, 3740, 3109, 8083, 530, 21317, 1169, 2582, 6221, 689, 519, 10624, 693, 17677, 595, 820, 267, 513, 7678, 344, 29221, 2044, 538, 5842, 20844, 269, 1809, 3079, 540, 14656, 267, 17677, 595, 820, 779, 5411, 3357, 909, 609, 9232, 335, 659, 657, 2223, 513, 3444, 1063, 513, 3443, 322, 820, 543, 513, 512, 23147, 602, 789, 1223, 1118, 1510, 5201, 563, 763, 623, 23147, 568, 513, 1587, 540, 519, 9568, 530, 3754, 676, 23587, 12756, 269, 634, 25649, 3443, 322, 820, 568, 11273, 936, 513, 3154, 1989, 650, 3079, 540, 19323, 538, 17677, 595, 820, 779, 7088, 16162, 12574, 3167, 9065, 839, 269, 898, 666, 849, 581, 13881, 609, 707, 3946, 267, 14874, 991, 585, 585, 802, 543, 11067, 269, 8616, 519, 2241, 533, 23147, 568, 607, 6653, 513, 1521, 607, 513, 21243, 7484, 322, 820, 267, 543, 568, 22537, 547, 8726, 11423, 568, 693, 1688, 281, 24113, 7423, 267, 8645, 10381, 267, 1256, 14254, 23611, 563, 291, 19302, 595, 820, 568, 513, 6263, 1870, 267, 855, 519, 13080, 547, 799, 922, 5411, 723, 8854, 547, 1832, 621, 4881, 616, 22566, 540, 519, 29426, 5397, 23587, 12756, 814, 25793, 14414, 538, 17896, 22656, 269, 3245, 513, 5842, 20844, 15818, 2389, 29354, 1673, 19342, 31066, 547, 519, 7823, 17055, 945, 6551, 3022, 513, 18789, 5985, 561, 16184, 668, 520, 267, 9232, 15161, 616, 2348, 547, 3082, 547, 519, 1007, 4641, 2223, 3081, 2107, 1633, 334, 16114, 328, 6210, 267, 835, 540, 17677, 595, 820, 779, 5411, 563, 19853, 27265, 2022, 5336, 7559, 1223, 581, 519, 4098, 540, 513, 1279, 27492, 16746, 2804, 26016, 1436, 585, 519, 2475, 8513, 269, 5463, 3547, 6040, 7293, 2042, 723, 6854, 519, 13264, 6532, 689, 8066, 922, 1378, 17215, 269, 1809, 519, 19996, 779, 10969, 566, 3091, 17896, 22656, 513, 4686, 4960, 547, 5368, 1203, 922, 4346, 1210, 513, 575, 2313, 540, 4195, 6666, 538, 5313, 9568, 5351, 563, 2467, 779, 849, 519, 1981, 267, 2705, 267, 602, 519, 17542, 540, 9489, 4397, 547, 2095, 689, 6115, 667, 5861, 269, 786, 1152, 15052, 922, 21341, 593, 519, 22163, 269, 6145, 1082, 824, 1919, 538, 519, 6532, 267, 799, 4287, 17896, 22656, 3217, 786, 7361, 4096, 593, 519, 30152, 1876, 16234, 945, 3180, 519, 1625, 572, 12673, 563, 288, 7810, 4346, 267, 2221, 454, 303, 340, 15300, 22656, 779, 3348, 13895, 2804, 1533, 1354, 519, 19996, 729, 5756, 267, 952, 711, 5553, 267, 538, 519, 1818, 269, 4495, 513, 12733, 540, 8050, 267, 519, 6532, 2968, 513, 2475, 8513, 538, 476, 6245, 279, 267, 543, 729, 13166, 3144, 856, 540, 519, 2136, 8315, 1592, 540, 1875, 268, 1345, 12044, 11182, 267, 610, 10125, 267, 538, 476, 4198, 274, 269, 12846, 267, 538, 1082, 2081, 621, 3788, 1175, 602, 267, 4966, 8044, 12544, 12733, 563, 9961, 519, 6532, 779, 1686, 267, 5007, 9520, 723, 13234, 607, 1582, 8410, 22633, 4559, 1369, 519, 6532, 267, 609, 1906, 7418, 547, 519, 2199, 4346, 824, 982, 519, 6009, 789, 1711, 269, 7982, 538, 519, 1101, 1906, 5756, 540, 476, 5002, 271, 338, 267, 950, 4006, 729, 17896, 22656, 779, 1283, 2872, 267, 3544, 24873, 5411, 29633, 741, 2504, 267, 607, 1134, 607, 741, 15271, 563, 1103, 476, 3707, 278, 267, 2199, 8387, 9250, 606, 16529, 22713, 5880, 1228, 538, 13922, 540, 1818, 519, 6532, 811, 1582, 1606, 11211, 281, 20491, 645, 2393, 560, 1905, 269, 12079, 10118, 13631, 3544, 3854, 998, 21464, 3454, 9397, 267, 1312, 693, 519, 2199, 543, 5313, 2157, 269, 634, 2856, 729, 602, 22163, 9755, 1131, 1847, 4238, 547, 17896, 22656, 267, 10451, 1870, 585, 2199, 14273, 543, 8429, 593, 741, 917, 24376, 267, 838, 27681, 811, 2199, 3549, 267, 3081, 12213, 752, 30340, 320, 9539, 773, 1407, 267, 606, 2804, 1646, 4274, 693, 519, 4741, 585, 513, 1715, 19004, 267, 513, 5842, 20844, 2861, 1589, 7382, 563, 1432, 5949, 729, 519, 6587, 269, 5502, 540, 9140, 6151, 2326, 538, 17896, 22656, 267, 1082, 3549, 16865, 1018, 789, 2877, 269, 3807, 899, 519, 4006, 24873, 5411, 1354, 873, 267, 789, 2366, 1312, 519, 8737, 1587, 543, 12434, 1394, 1753, 563, 763, 6532, 779, 14603, 1071, 1673, 2570, 1890, 454, 7617, 5012, 721, 547, 1776, 524, 23774, 1782, 12343, 540, 519, 17896, 681, 4618, 2203, 281, 922, 1104, 21341, 269, 5221, 513, 2462, 32004, 540, 519, 6532, 779, 3484, 762, 2244, 729, 13840, 13991, 547, 3395, 4006, 585, 13143, 267, 1426, 585, 17137, 1185, 547, 581, 16865, 269, 4653, 267, 621, 1869, 568, 563, 23330, 566, 645, 2393, 560, 1905, 779, 22713, 5397, 2417, 546, 5034, 519, 6683, 5823, 676, 561, 1005, 17896, 681, 4618, 4600, 689, 519, 24781, 883, 4872, 269, 898, 849, 2799, 17896, 22656, 779, 16126, 593, 824, 5686, 540, 16865, 2472, 267, 2094, 865, 1454, 540, 1018, 729, 14475, 12725, 729, 30758, 547, 4734, 519, 6532, 563, 1103, 835, 2013, 267, 25584, 3812, 676, 538, 17896, 22656, 729, 1256, 25855, 547, 519, 22163, 1354, 1818, 519, 2132, 7552, 547, 581, 4421, 12725, 1765, 520, 513, 14869, 1665, 5346, 267, 1767, 5842, 20844, 25650, 25844, 26408, 962 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 519, 32014, 1869, 22921, 3670, 2929, 892, 543, 621, 7283, 1360, 1164, 909, 2394, 2622, 2782, 1079, 3323, 543, 519, 13864, 1966, 3592, 7106, 8986, 269, 901, 7152, 602, 13864, 729, 1869, 5393, 1164, 543, 1100, 5458, 1689, 1185, 1044, 1500, 269, 634, 1715, 20958, 849, 1705, 4986, 547, 4217, 519, 26699, 538, 6639, 8441, 538, 8105, 602, 3123, 1082, 3484, 4600, 547, 581, 8719, 676, 6191, 563, 763, 2243, 1082, 1004, 2307, 267, 1058, 1004, 593, 10304, 581, 7318, 286, 3689, 1055, 267, 1018, 568, 10304, 267, 10304, 568, 2883, 1489, 602, 568, 2016, 547, 519, 3283, 538, 991, 269, 634, 2229, 814, 2813, 1082, 10304, 3292, 267, 585, 1383, 267, 570, 3198, 293, 267, 27083, 267, 4132, 338, 2657, 15928, 5358, 267, 5253, 853, 10102, 267, 26929, 531, 8232, 5358, 267, 2423, 2740, 20677, 12525, 15894, 267, 24184, 26859, 543, 1082, 811, 3292, 269, 8549, 2229, 786, 1683, 519, 7616, 267, 855, 1141, 1281, 519, 5313, 2229, 1205, 519, 2724, 689, 286, 634, 5313, 2229, 786, 1205, 519, 2724, 856, 540, 519, 3454, 2628, 619, 563, 18907, 476, 1704, 267, 476, 4350, 271, 14208, 1478, 9896, 519, 3911, 2393, 6953, 1177, 2917, 20579, 858, 269, 5147, 476, 2641, 267, 476, 4350, 271, 14208, 1478, 5916, 5313, 2533, 883, 835, 267, 1572, 519, 27851, 10029, 269, 5239, 476, 2641, 267, 476, 4350, 271, 14208, 1478, 2813, 519, 5518, 1412, 338, 17073, 9730, 585, 25477, 269, 4864, 476, 866, 267, 476, 4350, 272, 14208, 1478, 2919, 519, 5518, 1412, 338, 9257, 593, 1133, 655, 7877, 28057, 269, 5130, 476, 2420, 267, 476, 4350, 273, 634, 25608, 16010, 15278, 5795, 12029, 547, 10010, 4213, 269, 0, 1432, 616, 519, 1079, 1016, 26753, 883, 799, 9297, 568, 5258, 286, 11512, 1018, 1142, 1016, 7615, 2090, 563, 19859, 31754, 568, 513, 7522, 518, 1353, 267, 6466, 12550, 31754, 568, 513, 26483, 6626, 1353, 563, 515, 2604, 6749, 1063, 1079, 6753, 1813, 547, 2960, 11508, 585, 606, 5214, 5277, 13576, 998, 606, 740, 328, 629, 1738, 8546, 568, 476, 272, 269, 271, 1535, 476, 1015, 262, 14529, 269, 634, 5860, 543, 1808, 3002, 540, 519, 3267, 13971, 476, 736, 476, 1708, 271, 454, 1432, 5383, 1281, 2239, 3142, 547, 10229, 286, 322, 6847, 2012, 281, 7082, 2623, 13971, 476, 2190, 476, 1708, 271, 454, 7093, 6768, 513, 4976, 547, 3950, 519, 1739, 11891, 1644, 8852, 6993, 1872, 476, 272, 4098, 3666, 476, 1015, 4559, 7711, 1269, 11011, 284, 259, 280, 1015, 13971, 476, 274, 623, 3420, 1078, 476, 1428, 7711, 259, 11793, 284, 259, 14689, 271, 13971, 476, 1704, 623, 3420, 1078, 476, 736, 7711, 259, 272, 1862, 13971, 476, 6021, 476, 1708, 272, 454, 7617, 540, 519, 1739, 2249, 568, 1034, 4164, 8568, 286, 9197, 9197, 274, 266, 300, 333, 300, 333, 273, 266, 21801, 476, 866, 476, 1708, 272, 454, 26422, 3333, 710, 3955, 12542, 12074, 782, 6666, 2256, 328, 14186, 1142, 13723, 543, 11016, 538, 513, 3781, 7263, 7480, 1310, 12948, 3108, 269, 634, 1239, 2838, 547, 31363, 519, 4871, 3948, 607, 540, 1862, 9802, 476, 6349, 476, 1708, 272, 454, 10521, 630, 320, 264, 6723, 267, 8402, 543, 1488, 2151, 941, 19971, 540, 21207, 532, 5069, 13456, 267, 513, 1804, 10685, 528, 602, 16941, 8185, 593, 20398, 543, 27341, 8637, 543, 711, 3226, 1454, 593, 4950, 3267, 14257, 476, 2420, 476, 1708, 272, 454, 9824, 4800, 593, 3902, 607, 513, 27667, 540, 2298, 4667, 547, 2049, 585, 782, 2472, 269, 6496, 713, 1611, 602, 1164, 1790, 878, 539, 2472, 616, 9120, 286, 4270, 267, 3006, 269, 12313, 666, 581, 513, 1434, 533, 1862, 19878, 476, 2190, 476, 1708, 272, 454, 763, 1739, 3126, 476, 273, 332, 630, 10170, 264, 568, 4780, 7217, 269, 562, 1341, 476, 272, 8564, 835, 281, 6936, 8771, 14257, 476, 2537, 476, 1708, 272, 454, 8923, 948, 803, 1174, 519, 1344, 2630, 1732, 269, 272, 269, 14424, 519, 2883, 12753, 689, 27869, 18669, 547, 519, 2883, 12753, 7991, 2657, 4741, 11038, 6431, 701, 1862, 9802, 476, 1704, 476, 1001, 279, 454, 1103, 799, 540, 519, 1739, 5712, 1058, 519, 13258, 585, 15549, 344, 3790, 581, 6592, 286, 288, 264, 634, 1974, 950, 519, 1587, 568, 4421, 289, 264, 634, 1974, 950, 519, 1587, 568, 30465, 610, 556, 1862, 13356, 476, 866, 476, 1001, 280, 0, 306, 731, 710, 3568, 513, 1164, 6871, 540, 8324, 543, 5567, 602, 960, 547, 3895, 519, 1072, 540, 519, 1560, 543, 2149, 621, 689, 3676, 543, 8290, 267, 607, 621, 3568, 513, 1164, 6871, 540, 14434, 543, 8324, 267, 2687, 547, 1018, 7150, 796, 20129, 6202, 1145, 454, 272, 281, 590, 731, 1149, 2270, 513, 1164, 6871, 540, 7513, 267, 799, 8992, 5642, 543, 4887, 1072, 543, 6971, 519, 1981, 540, 21404, 543, 5642, 17795, 563, 273, 281, 14856, 521, 731, 1149, 8992, 9025, 1072, 543, 6971, 519, 1981, 540, 19473, 29912, 563, 274, 281, 589, 666, 540, 521, 731, 1149, 476, 275, 269, 275, 13728, 593, 3328, 3568, 909, 547, 476, 2537, 10101, 540, 3940, 2529, 1550, 2898, 521, 731, 1149, 849, 2270, 2635, 27857, 267, 7513, 543, 6171, 667, 563, 275, 281, 590, 731, 1149, 2270, 15060, 268, 274, 9761, 7408, 602, 616, 1434, 585, 2295, 1072, 267, 543, 789, 849, 1489, 938, 4703, 11313, 1464, 547, 4339, 6553, 6923, 269, 1547, 20363, 568, 513, 2442, 2707, 540, 15060, 268, 274, 563, 276, 281, 590, 731, 1149, 2270, 513, 1164, 1543, 540, 3601, 543, 8324, 602, 616, 1271, 585, 519, 1072, 540, 519, 11178, 14189, 543, 7863, 621, 689, 18063, 563, 277, 281, 590, 731, 1149, 616, 3638, 538, 6171, 667, 4105, 547, 938, 1072, 538, 2489, 267, 1082, 1004, 7985, 689, 513, 10638, 540, 6171, 667, 602, 666, 1860, 938, 4761, 1062, 267, 17441, 1072, 267, 543, 1072, 607, 513, 2898, 267, 543, 4189, 3536, 971, 607, 521, 731, 1149, 666, 723, 811, 942, 538, 519, 3141, 538, 519, 1106, 540, 15474, 593, 6171, 667, 2157, 563, 278, 281, 590, 731, 1149, 2270, 1082, 2609, 543, 8324, 602, 960, 547, 3986, 519, 1072, 540, 519, 4761, 1062, 543, 2061, 3676, 543, 8290, 563, 279, 281, 8871, 4925, 2635, 2960, 543, 4552, 543, 14014, 873, 689, 3441, 543, 2566, 269, 0, 2464, 2207, 5746, 313, 22473, 715, 9331, 281, 476, 8687, 278, 910, 29640, 9680, 3036, 8656, 281, 6121, 15122, 320, 3436, 535, 6652, 328, 910, 667, 9281, 293, 2975, 5357, 14011, 9166, 2878, 12533, 24746, 13697, 3041, 10485, 538, 700, 8577, 281, 521, 576, 326, 2993, 844, 10314, 19819, 755, 334, 538, 3490, 740, 522, 3913, 328, 2822, 714, 7748, 563, 272, 6904, 568, 711, 513, 1483, 2262, 286, 589, 284, 327, 558, 6804, 645, 284, 7749, 6804, 595, 284, 743, 1054, 1652, 1315, 476, 273, 6904, 568, 711, 513, 1483, 2262, 286, 589, 284, 2958, 14177, 645, 284, 11034, 1652, 595, 284, 754, 1652, 1315, 476, 274, 6904, 568, 711, 513, 1483, 2262, 286, 589, 284, 321, 21392, 1652, 645, 284, 26258, 1652, 595, 284, 327, 1515, 1652, 1315, 476, 275, 6904, 568, 711, 513, 1483, 2262, 286, 589, 284, 3333, 334, 6804, 645, 284, 17549, 1652, 595, 284, 325, 520, 1652, 1315, 476, 276, 1403, 1945, 568, 1100, 1434, 547, 4896, 267, 1287, 621, 568, 31233, 269, 589, 284, 335, 3233, 1652, 645, 284, 340, 1088, 612, 595, 284, 2958, 14177, 1315, 476, 277, 23985, 609, 1100, 10665, 568, 31233, 269, 589, 284, 15927, 1652, 645, 284, 20129, 1652, 595, 284, 321, 16093, 1652, 1315, 476, 278, 589, 1360, 3407, 6221, 568, 12223, 269, 589, 284, 335, 878, 6804, 645, 284, 1998, 3241, 612, 595, 284, 11420, 1088, 612, 1315, 476, 279, 589, 581, 1375, 541, 666, 581, 1767, 547, 581, 31233, 269, 589, 284, 327, 558, 6804, 645, 284, 5341, 1652, 595, 284, 25988, 1652, 1315, 476, 280, 634, 7128, 1572, 519, 12638, 513, 31233, 11318, 269, 589, 284, 20129, 1652, 645, 284, 11420, 1088, 612, 595, 284, 2958, 14177, 1315, 476, 1015, 634, 7399, 616, 31233, 269, 589, 284, 7749, 6804, 645, 284, 684, 1652, 595, 284, 754, 1652, 0, 268, 4303, 476, 272, 910, 8212, 454, 19751, 476, 280, 267, 476, 1708, 272, 454, 279, 281, 3393, 993, 910, 476, 276, 281, 1789, 10681, 454, 15697, 623, 2969, 19369, 6092, 454, 1607, 1079, 6377, 1576, 6227, 519, 3584, 602, 1053, 991, 547, 917, 585, 519, 623, 2969, 267, 2519, 593, 2127, 602, 1131, 711, 7363, 581, 4988, 693, 1153, 676, 519, 4266, 540, 519, 981, 269, 1306, 519, 623, 2969, 2055, 8428, 538, 2511, 689, 589, 7400, 2055, 267, 713, 1576, 6663, 547, 948, 1053, 1451, 519, 2010, 540, 2055, 4280, 543, 1397, 1053, 875, 547, 2626, 873, 538, 519, 1034, 3608, 1259, 269, 3776, 1576, 20131, 717, 23152, 651, 332, 814, 936, 476, 280, 1296, 685, 1995, 8600, 1053, 585, 519, 623, 2969, 269, 3571, 3015, 3450, 2511, 1797, 16602, 3584, 666, 581, 27058, 609, 8897, 543, 1053, 786, 4734, 519, 1576, 609, 519, 6015, 547, 10994, 2055, 10446, 563, 30125, 568, 4988, 593, 14349, 543, 13174, 593, 10732, 282, 1053, 666, 7390, 513, 2582, 1554, 610, 1433, 1312, 607, 513, 22753, 563, 17345, 12856, 1299, 12474, 454, 1805, 4450, 540, 519, 17963, 454, 12218, 525, 616, 689, 476, 280, 600, 547, 476, 276, 269, 1789, 10975, 269, 32310, 6238, 689, 476, 279, 269, 3393, 600, 563, 2467, 786, 581, 513, 476, 272, 5662, 12899, 2736, 543, 513, 7008, 540, 476, 1015, 8792, 9397, 538, 519, 6640, 543, 12784, 563, 1607, 1576, 3217, 1747, 2228, 269, 1677, 1265, 856, 875, 938, 2228, 6030, 960, 5225, 4945, 1934, 563, 21196, 476, 272, 281, 8212, 454, 268, 20943, 14670, 923, 281, 5741, 3796, 267, 11708, 454, 268, 18868, 281, 17086, 267, 13053, 779, 16572, 267, 4448, 5536, 267, 11610, 454, 268, 8562, 983, 5163, 454, 268, 3400, 341, 2787, 543, 25057, 454, 268, 4518, 267, 1648, 543, 1379, 454, 268, 634, 3859, 1062, 267, 11775, 540, 519, 7599, 543, 17772, 2354, 525, 454, 268, 9978, 5547, 3601, 454, 268, 18650, 10659, 454, 268, 5295, 538, 11387, 454, 268, 26457, 626, 832, 543, 700, 11403, 338, 538, 1761, 3900, 619, 454, 268, 667, 1675, 525, 543, 29522, 454, 268, 23027, 3601, 267, 4834, 454, 268, 5082, 11424, 8552, 454, 268, 5262, 3555, 543, 13779, 454, 268, 14506, 693, 7077, 19141, 454, 268, 4676, 3555, 1519, 929, 3359, 543, 2698, 4835, 8086, 454, 268, 11272, 1299, 25080, 4610, 454, 268, 595, 9567, 4861, 779, 4521, 454, 268, 7353, 29090, 6356, 454, 268, 932, 20149, 5536, 538, 4610, 454, 5978, 21493, 685, 25981, 543, 3015, 3450, 6163, 5512, 1053, 547, 1745, 2111, 547, 2307, 2055, 543, 2170, 538, 5717, 269, 3776, 21493, 4309, 9846, 1434, 5955, 689, 1053, 269, 4256, 4274, 1702, 543, 4195, 3450, 1935, 786, 948, 3388, 4945, 883, 1747, 563, 294, 23152, 651, 332, 6594, 8212, 693, 7395, 30445, 523, 5441, 267, 2160, 540, 10228, 543, 21783, 538, 476, 1001, 272, 269, 1261, 1287, 6591, 1010, 11727, 4116, 4567, 630, 304, 4811, 264, 689, 3751, 779, 5441, 5507, 538, 476, 1001, 273, 269, 9752, 814, 2141, 1044, 513, 6612, 585, 717, 23152, 651, 332, 2094, 1010, 18295, 1296, 267, 950, 646, 5249, 607, 513, 17281, 16455, 269, 16270, 14045, 547, 11654, 513, 4876, 538, 3450, 267, 717, 23152, 651, 332, 3459, 23468, 538, 476, 1001, 271, 1247, 646, 729, 606, 15938, 2875, 269, 17497, 646, 1568, 607, 513, 2407, 6066, 20131, 267, 2027, 2358, 538, 13174, 543, 8212, 589, 7400, 338, 543, 23504, 4255, 971, 607, 623, 2969, 267, 607, 1134, 607, 4543, 1053, 538, 741, 6280, 3498, 543, 5967, 7041, 269, 769, 476, 1001, 274, 267, 717, 23152, 651, 332, 3964, 519, 8212, 1299, 13174, 570, 12460, 3896, 267, 799, 814, 1831, 513, 3730, 4199, 267, 3246, 1353, 948, 585, 5215, 540, 1053, 269, 769, 1010, 4357, 1272, 267, 717, 23152, 651, 332, 1869, 21593, 1373, 513, 6131, 17281, 6345, 543, 16455, 563, 5970, 513, 2243, 827, 713, 1576, 888, 12749, 923, 941, 4843, 538, 1469, 267, 609, 9355, 543, 649, 941, 6026, 1390, 2553, 593, 16460, 1585, 2055, 454, 763, 3069, 543, 2055, 941, 11212, 1134, 6045, 267, 2523, 585, 519, 3584, 594, 1185, 711, 2938, 1354, 454, 294, 528, 651, 332, 6045, 1169, 851, 540, 519, 623, 2969, 21038, 538, 606, 2502, 1259, 0, 26422, 23438, 13628, 6640, 949, 2408, 3897, 1067, 982, 3339, 269, 2334, 781, 1317, 540, 513, 9864, 3859, 24256, 602, 786, 581, 25093, 1175 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4407, 594, 7374, 568, 2907, 4857, 607, 513, 1267, 540, 513, 2539, 1981, 540, 3384, 1826, 476, 273, 3987, 269, 2405, 1709, 543, 2067, 2566, 1282, 519, 1101, 1900, 4994, 543, 4542, 267, 543, 519, 3355, 3621, 1981, 540, 3384, 1826, 476, 273, 3987, 2073, 5767, 5061, 585, 3987, 269, 0, 297, 2002, 12197, 8433, 9502, 910, 13639, 291, 5315, 3820, 454, 329, 2002, 2361, 5604, 454, 272, 4700, 589, 10151, 3818, 698, 1890, 11558, 4099, 3964, 693, 519, 10071, 3135, 547, 1683, 513, 3844, 4087, 585, 11558, 540, 5313, 267, 1533, 267, 2199, 267, 17174, 267, 562, 784, 21194, 267, 543, 4357, 5498, 2758, 3906, 609, 3119, 5539, 585, 10071, 23388, 267, 4287, 267, 610, 6351, 547, 3927, 11282, 4027, 267, 6604, 267, 23982, 267, 3210, 267, 543, 6051, 3527, 563, 268, 849, 1572, 808, 23859, 454, 1103, 519, 2136, 2276, 267, 4108, 6863, 568, 13387, 676, 519, 4972, 540, 4347, 775, 269, 1452, 2474, 616, 1031, 676, 519, 2136, 2276, 8136, 267, 13108, 267, 5794, 10414, 267, 543, 13149, 17620, 563, 28350, 19032, 281, 4238, 454, 23430, 540, 4347, 775, 267, 9218, 540, 13639, 543, 23105, 16301, 454, 28350, 21433, 689, 31179, 476, 274, 268, 2764, 281, 16470, 8081, 540, 6406, 8191, 885, 267, 8242, 5147, 476, 1001, 274, 7348, 2707, 3561, 454, 1607, 2165, 568, 6825, 607, 3742, 543, 729, 2063, 8242, 538, 476, 1001, 276, 454, 305, 24655, 13639, 12910, 454, 5415, 13639, 16301, 912, 7775, 281, 7348, 9218, 540, 13639, 3600, 1258, 344, 916, 0, 290, 2643, 5407, 23694, 21998, 454, 1789, 7756, 23694, 21998, 547, 26969, 519, 2051, 1819, 595, 2643, 785, 619, 1107, 476, 279, 269, 1839, 16357, 1535, 476, 279, 269, 1839, 16357, 454, 307, 523, 6486, 585, 1142, 540, 519, 11954, 26561, 454, 268, 476, 1015, 1114, 4806, 6486, 585, 519, 2699, 26561, 454, 268, 476, 1015, 1114, 4806, 6486, 585, 519, 5835, 26561, 454, 268, 476, 1015, 1114, 4806, 6486, 585, 519, 3039, 26561, 454, 4322, 6486, 616, 547, 581, 1031, 607, 606, 10137, 2534, 585, 519, 12928, 984, 1652, 595, 2643, 5407, 1570, 563, 301, 11065, 11607, 1703, 616, 1100, 4544, 6486, 1317, 782, 4557, 4773, 540, 519, 4544, 12928, 984, 1652, 595, 2643, 785, 619, 723, 519, 1482, 8006, 269, 2201, 513, 1079, 8820, 7077, 267, 519, 6486, 1131, 1152, 723, 4557, 540, 519, 519, 1482, 21092, 5858, 630, 1492, 4544, 12718, 3490, 1916, 19530, 539, 538, 2407, 2681, 593, 5230, 6006, 543, 700, 3133, 730, 454, 306, 839, 3645, 6987, 5014, 609, 519, 2051, 1819, 595, 2643, 785, 619, 15015, 2139, 454, 6701, 596, 4358, 513, 4116, 2866, 1982, 888, 2710, 596, 2907, 723, 513, 1982, 855, 1131, 899, 547, 2708, 707, 8261, 3681, 286, 0, 763, 15979, 540, 2806, 10407, 454, 12041, 281, 26637, 12321, 529, 454, 17504, 4032, 281, 476, 1911, 271, 454, 17504, 4032, 281, 476, 1911, 271, 454, 6781, 10407, 3322, 519, 18532, 11318, 540, 513, 21565, 547, 1439, 513, 6379, 269, 1452, 10099, 4926, 616, 1480, 267, 31127, 269, 272, 898, 4667, 602, 10099, 4926, 616, 7919, 267, 23344, 4625, 8200, 7919, 281, 1018, 3116, 1131, 789, 581, 286, 1924, 267, 16377, 3322, 519, 18532, 11318, 540, 513, 1480, 1373, 269, 918, 3739, 1480, 7919, 568, 1419, 7184, 4636, 267, 865, 568, 16377, 4636, 286, 1403, 865, 267, 950, 286, 1656, 1946, 286, 769, 713, 1557, 267, 649, 3580, 1413, 693, 930, 1761, 4267, 547, 891, 2055, 563, 296, 269, 5274, 5029, 3359, 888, 293, 564, 4926, 616, 711, 1175, 31127, 9800, 267, 899, 2281, 610, 8219, 269, 1358, 616, 2729, 282, 1142, 568, 513, 1480, 1272, 269, 2368, 8044, 602, 713, 568, 1317, 789, 616, 7103, 281, 1247, 12271, 616, 2694, 540, 7919, 267, 519, 1373, 568, 519, 2898, 11248, 563, 293, 564, 4926, 3100, 547, 581, 968, 2041, 902, 892, 593, 713, 4214, 281, 789, 616, 1950, 543, 3384, 269, 2368, 17024, 8044, 602, 938, 1373, 1480, 7103, 9308, 6024, 609, 10099, 4926, 945, 941, 1480, 7103, 2306, 16377, 4636, 269, 273, 1358, 3100, 547, 8044, 602, 2094, 621, 568, 4636, 547, 6146, 721, 1631, 267, 1775, 4318, 1421, 649, 723, 3601, 602, 1118, 621, 4636, 547, 6146, 721, 1631, 630, 1440, 9874, 1795, 773, 4636, 547, 6146, 281, 4636, 8259, 3665, 6381, 17854, 519, 11318, 1070, 621, 729, 4636, 547, 6146, 721, 693, 1022, 3942, 540, 938, 1646, 267, 2094, 649, 4076, 1044, 519, 1482, 11248, 267, 519, 1482, 1373, 267, 2429, 938, 6228, 563, 4407, 713, 4661, 568, 9565, 538, 930, 10580, 267, 621, 568, 18562, 19796, 1190, 269, 1411, 616, 2693, 936, 1614, 3952, 7381, 1631, 267, 855, 14201, 1406, 2141, 269, 1411, 666, 2601, 25432, 267, 855, 7948, 1406, 2141, 269, 1411, 723, 519, 1318, 547, 1118, 14628, 3664, 827, 707, 1378, 1272, 267, 855, 4769, 1406, 2141, 269, 3509, 1806, 1397, 602, 1175, 1317, 649, 723, 930, 3959, 610, 1318, 1631, 267, 602, 3085, 1406, 27167, 602, 649, 4076, 2141, 1185, 602, 1318, 269, 901, 4661, 779, 15156, 991, 547, 23710, 4601, 2491, 1946, 267, 2161, 267, 519, 1318, 547, 1272, 568, 606, 9868, 547, 713, 4341, 269, 274, 454, 2862, 269, 630, 14549, 264, 31080, 888, 2171, 267, 3988, 540, 713, 1557, 267, 616, 1480, 7919, 610, 2729, 630, 684, 1652, 972, 616, 1022, 31373, 14111, 3988, 256, 1070, 543, 621, 568, 2215, 320, 1795, 773, 4636, 547, 6146, 721, 269, 1772, 519, 2601, 1946, 621, 4636, 547, 6146, 721, 1317, 649, 616, 1480, 7919, 610, 2729, 888, 22818, 711, 269, 898, 568, 4636, 547, 6146, 721, 267, 24903, 267, 1317, 11318, 721, 11151, 721, 689, 7680, 519, 5370, 540, 938, 2104, 281, 18517, 267, 3347, 267, 11981, 938, 2729, 543, 865, 593, 269, 3509, 15806, 4766, 891, 19206, 2877, 585, 7680, 938, 2729, 267, 1459, 543, 2104, 267, 538, 2474, 540, 721, 1373, 7606, 269, 275, 589, 3069, 1459, 689, 693, 2547, 519, 942, 540, 3627, 28676, 666, 581, 6829, 10199, 607, 281, 7606, 616, 7919, 609, 14789, 281, 7606, 616, 6857, 7919, 609, 4555, 267, 4606, 267, 8823, 543, 9027, 725, 543, 824, 5626, 2829, 269, 630, 2691, 1004, 31274, 267, 19451, 569, 267, 602, 10099, 4926, 5749, 1406, 1480, 7919, 267, 789, 1522, 581, 19101, 602, 789, 616, 711, 1480, 7606, 1040, 1403, 649, 5884, 610, 1256, 1831, 18385, 635, 520, 846, 267, 649, 24044, 547, 581, 7606, 267, 2094, 649, 18385, 6336, 9637, 563, 1607, 3069, 540, 1268, 3125, 814, 28706, 1379, 281, 621, 2337, 721, 1174, 1946, 649, 616, 7606, 543, 875, 649, 630, 528, 938, 4703, 264, 666, 24044, 547, 581, 7606, 269, 898, 1175, 5809, 513, 3395, 3661, 602, 930, 1875, 25993, 2831, 616, 630, 12061, 25993, 264, 7606, 269, 898, 6941, 1946, 7787, 2230, 30659, 267, 952, 972, 616, 1022, 267, 1131, 581, 630, 12061, 25993, 264, 7606, 269, 898, 6941, 1946, 10143, 610, 5289, 7919, 616, 610, 1131, 581, 630, 12061, 25993, 264, 7606, 563, 4002, 713, 3069, 540, 1268, 3125, 267, 2038, 10099, 4926, 616, 711, 7606, 269, 901, 568, 1317, 741, 12058, 543, 8401, 1949, 5749, 1406, 2919, 18481, 610, 1950, 569, 10562, 18481, 585, 9637, 543, 1268, 3125, 269, 634, 2564, 543, 3621, 1382, 5359, 602, 713, 11095, 3942, 3884, 1406, 6603, 2394, 1310, 519, 1101, 959, 30478, 267, 610, 267, 811, 2693, 267, 2394, 4571, 1790, 27389, 3599, 269, 276, 27819, 782, 705, 25344, 2049, 1360, 2038, 538, 6379, 267, 11318, 10099, 4926, 602, 616, 711, 2943, 6857, 267, 543, 865, 616, 711, 2943, 7606, 269, 7102, 2663, 705, 25344, 267, 7133, 6857, 10099, 4926, 945, 616, 7606, 610, 2673, 547, 621, 267, 1131, 4440, 581, 25432, 6650, 332, 24777, 563, 7656, 269, 15783, 12287, 3125, 888, 3719, 1175, 1317, 1945, 630, 528, 2576, 264, 568, 711, 513, 1268, 267, 602, 3085, 1406, 15069, 1611, 602, 621, 568, 711, 4636, 547, 6146, 873, 563, 2252, 10099, 4926, 5749, 1406, 7606, 267, 789, 616, 1869, 1761, 7606, 269, 630, 4517, 8806, 1761, 7606, 616, 2760, 4890, 7606, 1040, 6496, 602, 1761, 2285, 10099, 4926, 267, 2161, 267, 519, 1318, 547, 1272, 610, 6382, 1118, 621, 4636, 547, 6146, 873, 888, 2252, 1761, 1919, 723, 519, 2924, 540, 4890, 1919, 267, 1287, 1761, 4079, 267, 838, 11817, 267, 20737, 267, 7189, 267, 543, 16488, 1131, 723, 519, 2924, 540, 4890, 3283, 269, 4595, 789, 1810, 1406, 267, 621, 568, 26363, 602, 1761, 1268, 3125, 3085, 1406, 6556, 519, 2924, 540, 4890, 1268, 3125, 269, 2311, 2547, 267, 649, 616, 1813, 606, 7778, 540, 1946, 621, 1131, 267, 2094, 1761, 640, 2760, 1281, 602, 585, 4376, 3116, 563, 4353, 269, 966, 16191, 28358, 999, 888, 9989, 333, 1406, 16377, 2061, 513, 21565, 689, 7680, 922, 3407, 2104, 267, 1175, 899, 11318, 721, 1281, 267, 1256, 952, 621, 568, 711, 2943, 513, 1268, 286, 277, 1809, 5749, 1406, 938, 20304, 23710, 4601, 3407, 1317, 649, 666, 267, 27057, 267, 1413, 4464, 547, 938, 20304, 286, 674, 564, 4926, 666, 1406, 1413, 4464, 547, 741, 20304, 267, 543, 713, 568, 835, 1271, 3017, 1063, 741, 20304, 543, 938, 20304, 563, 10702, 267, 513, 14203, 7146, 7308, 268, 1122, 326, 32717, 2914, 746, 1922, 23459, 1125, 32717, 24903, 814, 513, 2104, 28330, 547, 602, 540, 513, 21565, 269, 2552, 571, 4003, 630, 16838, 676, 17712, 29561, 14386, 8952, 713, 2104, 689, 1570, 1944, 269, 279, 1809, 15333, 4003, 543, 17712, 29561, 5749, 1406, 1799, 7394, 269, 4935, 267, 621, 568, 711, 4636, 547, 1685, 930, 2962, 602, 11151, 971, 513, 2104, 689, 1570, 1944, 563, 309, 269, 634, 9406, 547, 5020, 888, 7661, 267, 15475, 891, 7440, 616, 782, 4636, 543, 782, 10099, 4926, 616, 7606, 609, 519, 1318, 547, 1272, 269, 6496, 602, 1118, 16377, 4636, 286, 3502, 8209, 269, 7225, 603, 16399, 28020, 11130, 538, 1200, 476, 3192, 272, 968, 288, 16470, 540, 2806, 10407, 892, 280, 281, 1403, 594, 1590, 946, 707, 8459, 547, 3251, 9800, 267, 798, 594, 723, 513, 1318, 547, 707, 8459, 286, 3143, 267, 543, 596, 1810, 1406, 29875, 1250, 2924, 952, 596, 1810, 1406, 1577, 803, 946, 621, 543, 594, 5884, 269, 901, 2982, 602, 519, 1318, 547, 1272, 568, 711, 513, 1318, 547, 4703, 540, 1866, 267, 1256, 952, 1346, 4703, 616, 2556, 585, 938, 2729, 269, 674, 564, 4926, 267, 1287, 267, 1522, 711, 723, 513, 1318, 547, 519, 9176, 4807, 779, 1560, 543, 865, 1352, 3085, 1406, 29875, 741, 2924, 676, 711, 3850, 513, 21565, 547, 946, 621, 269, 1924, 2394, 10099, 4926, 666, 581, 6569, 689, 2021, 543, 5116, 538, 1007, 530, 558, 2125, 267, 16377, 949, 711, 29875, 519, 2924, 540, 10099, 4926, 543, 949, 581, 7989, 24777, 563, 763, 10952, 3390, 540, 519, 5837, 4567, 540, 16377, 568, 1950, 269, 1452, 616, 1175, 513, 1906, 10952, 7440, 7282, 519, 5837, 4567, 540, 16377, 269, 3962, 568, 17709, 540, 2417, 4901, 543, 2601, 539, 7521, 563, 272, 28791, 649, 616, 3257, 18915, 7881, 543, 616, 3206, 827, 705, 15659, 26804, 610, 22578, 610, 824, 1875, 25993, 10099, 4926, 563, 273, 901, 4661, 568, 2919, 538, 23894, 5976, 630, 1220, 278, 1070, 543, 538, 6723, 543, 24729, 548, 325, 11420, 630, 1220, 279, 1916, 274, 901, 3210, 568, 2919, 538, 645, 3019, 514, 630, 1220, 274, 264, 543, 538, 12321, 529, 630, 1001, 272, 994, 275, 901, 9565, 3069, 540, 1268, 3125, 568, 2919, 538, 25303, 630, 3192, 274, 1916, 276, 10557, 267, 19626, 808, 1421, 1696, 620, 269, 630, 1220, 276, 264, 543, 5484, 20345, 543, 5484, 20345, 630, 1220, 272, 994, 277, 901, 4661, 568, 2919, 538, 3057, 638, 529, 630, 2735, 280, 1916, 278, 1280, 1646, 540, 891, 7440, 267, 1294, 5062, 300, 25301, 630, 1220, 273, 1916, 279, 1280, 1646, 540, 891, 7440, 267, 1294, 7439, 29589, 630, 1960, 271, 1916, 280, 774, 1682, 517, 630, 3192, 272, 994, 6826, 1188, 5976, 267, 14731, 808, 269, 4347, 2056, 5020, 281, 589, 26874, 543, 13751, 8865, 1996, 2806, 10407, 14893, 269, 11062, 2160, 4964, 267, 476, 1220, 278, 454, 13051, 20345, 267, 6424, 267, 543, 7812, 5484, 20345, 269, 968, 288, 10266, 538, 519, 674, 28127, 281, 19331, 731, 7736, 532, 4762, 4288, 827, 674, 13926, 10266, 1848, 12713, 996, 923, 476, 1428, 630, 1220, 272, 2567, 476, 6872, 268, 10602, 454, 299, 2465, 267, 19626, 808, 1421, 1696, 620, 269, 968, 293, 13926, 10266, 281, 589, 3590, 1738, 5564, 573, 21326, 5623, 540, 519, 15845, 1848, 20299, 476, 29848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 1035, 6786, 729, 1336, 547, 581, 476, 279, 7830, 269, 277, 267, 543, 519, 1611, 1871, 540, 1035, 6786, 3564, 476, 8182, 808, 12839, 268, 3199, 272, 1295, 729, 5833, 607, 476, 279, 4343, 269, 274, 269, 4935, 267, 519, 5786, 6871, 538, 519, 1035, 6771, 267, 610, 865, 10777, 594, 17307, 6771, 267, 540, 519, 556, 26047, 12336, 2217, 4999, 568, 2356, 7229, 547, 581, 476, 273, 269, 11025, 10065, 2060, 519, 2164, 540, 519, 2468, 12393, 10526, 267, 519, 594, 17307, 6771, 585, 476, 2004, 30127, 8276, 299, 589, 268, 2412, 2626, 1210, 556, 26047, 589, 268, 2412, 729, 5833, 607, 630, 273, 269, 10463, 476, 271, 269, 5400, 264, 10065, 4284, 1664, 476, 273, 630, 320, 264, 7464, 6066, 1035, 6771, 540, 556, 26047, 6404, 609, 547, 15515, 1673, 25018, 539, 3732, 267, 543, 589, 8410, 1417, 1674, 17466, 630, 321, 264, 594, 17307, 630, 8472, 3842, 594, 17307, 543, 630, 322, 264, 9804, 5860, 630, 7495, 264, 3842, 20700, 26721, 269, 634, 594, 17307, 6786, 585, 589, 268, 2412, 3435, 540, 1585, 9830, 941, 9571, 267, 543, 519, 2164, 616, 3254, 609, 12297, 1239, 2798, 538, 4284, 1664, 7790, 24357, 1664, 273, 321, 269, 273, 321, 269, 634, 9571, 5834, 7790, 288, 540, 589, 268, 2412, 32282, 2626, 568, 689, 476, 272, 547, 476, 736, 286, 1822, 30127, 8276, 299, 269, 898, 729, 1336, 519, 594, 17307, 6771, 28663, 4679, 609, 2810, 589, 268, 2412, 5834, 689, 476, 272, 547, 476, 2004, 30127, 8276, 299, 267, 4553, 676, 513, 6825, 2333, 538, 519, 594, 17307, 6771, 607, 519, 589, 268, 2412, 5834, 4679, 547, 476, 4335, 271, 30127, 8276, 299, 267, 6368, 8757, 513, 15459, 1871, 693, 606, 589, 268, 2412, 5834, 2362, 982, 476, 1015, 286, 1822, 30127, 8276, 299, 269, 6270, 2623, 4767, 585, 519, 589, 268, 2412, 5834, 8200, 594, 17307, 6771, 3254, 538, 7612, 7790, 24357, 1664, 3451, 568, 1360, 2147, 547, 519, 865, 10777, 26848, 1599, 476, 272, 1141, 538, 552, 336, 476, 272, 18575, 519, 594, 17307, 6771, 607, 519, 5834, 540, 589, 268, 2412, 2409, 4642, 269, 4475, 267, 519, 1871, 540, 14687, 547, 519, 6846, 1377, 540, 519, 594, 17307, 6771, 585, 1028, 11691, 589, 268, 2412, 269, 634, 6846, 568, 1644, 547, 519, 3167, 6846, 540, 590, 12702, 2839, 1035, 11275, 657, 639, 1061, 10309, 5631, 269, 13482, 958, 267, 519, 1970, 1673, 564, 1254, 3970, 568, 7363, 2219, 607, 519, 1445, 808, 12839, 268, 3199, 272, 18071, 606, 594, 17307, 16315, 3152, 982, 519, 3280, 1377, 676, 476, 274, 1535, 607, 519, 6093, 11539, 540, 594, 17307, 10832, 585, 519, 1970, 8410, 1417, 1674, 1449, 269, 10738, 713, 4603, 267, 519, 808, 12839, 268, 3199, 272, 6093, 11539, 540, 1970, 8410, 1417, 1674, 2978, 4255, 267, 1533, 476, 1015, 30127, 8276, 299, 267, 568, 7363, 476, 271, 269, 5881, 10065, 9747, 267, 519, 1970, 1673, 564, 1254, 3970, 949, 581, 519, 1445, 2348, 606, 594, 17307, 16315, 540, 476, 273, 269, 272, 10065, 966, 807, 552, 336, 476, 272, 267, 519, 1970, 1673, 564, 1254, 3970, 585, 1028, 11691, 589, 268, 2412, 568, 2139, 547, 1831, 476, 275, 269, 2764, 30127, 8276, 299, 269, 19634, 940, 589, 268, 5655, 267, 519, 594, 17307, 16315, 1373, 513, 1599, 540, 589, 268, 5655, 1210, 556, 26047, 589, 268, 5655, 568, 7363, 9916, 269, 634, 8097, 1239, 616, 28367, 609, 3575, 6698, 538, 2549, 870, 7790, 8649, 870, 273, 321, 269, 273, 321, 269, 1452, 3575, 24069, 616, 1134, 14018, 547, 552, 336, 476, 272, 609, 3617, 6724, 3478, 476, 272, 269, 3445, 267, 3478, 476, 279, 269, 1015, 267, 7790, 334, 3478, 476, 1691, 286, 14991, 269, 278, 267, 543, 1373, 476, 271, 269, 2004, 269, 634, 6093, 11539, 585, 519, 1970, 8410, 1417, 1674, 1449, 267, 1533, 476, 1015, 30127, 8276, 299, 267, 568, 1175, 827, 476, 271, 269, 5881, 10065, 9747, 267, 519, 1970, 1673, 564, 1254, 3970, 585, 1028, 11691, 589, 268, 5655, 949, 581, 519, 1445, 2348, 606, 594, 17307, 16315, 540, 476, 273, 269, 1556, 10065, 4635, 552, 336, 476, 272, 609, 3617, 4632, 585, 589, 268, 5655, 267, 519, 1970, 1673, 564, 1254, 3970, 585, 589, 268, 5655, 568, 7363, 476, 1626, 269, 2412, 30127, 8276, 299, 269, 634, 2407, 2698, 4093, 8810, 538, 2549, 870, 7790, 8649, 870, 273, 321, 273, 321, 616, 26693, 1996, 602, 9571, 676, 20700, 26721, 269, 634, 10873, 585, 12423, 589, 268, 2412, 543, 589, 268, 5655, 616, 3989, 538, 606, 1367, 8261, 338, 689, 519, 20700, 26721, 5036, 630, 28071, 1240, 267, 594, 13993, 585, 589, 268, 2412, 282, 543, 918, 295, 289, 30306, 272, 267, 769, 10903, 4088, 585, 589, 268, 5655, 1040, 634, 589, 268, 2412, 1445, 882, 5050, 808, 12839, 268, 3199, 272, 9804, 24186, 630, 7495, 338, 264, 949, 849, 581, 8810, 538, 7612, 7790, 8649, 870, 273, 322, 273, 322, 609, 17860, 21266, 1540, 10945, 269, 898, 1185, 1044, 1336, 972, 568, 11613, 1100, 3815, 538, 744, 291, 950, 519, 1445, 540, 589, 268, 2412, 568, 10709, 518, 982, 269, 0, 295, 749, 1772, 1924, 5682, 281, 9612, 543, 1763, 26443, 3683, 519, 670, 2794, 538, 2622, 2782, 4083, 454, 20373, 299, 339, 269, 5261, 12603, 321, 1245, 6039, 538, 519, 8136, 781, 5794, 13255, 16710, 538, 519, 3624, 5174, 584, 2742, 268, 19328, 14364, 540, 2622, 2782, 4083, 543, 2760, 17991, 513, 14049, 538, 6370, 269, 6145, 1082, 2367, 945, 24363, 519, 670, 2794, 267, 646, 2760, 4718, 593, 7308, 268, 3033, 8396, 267, 855, 646, 10692, 12703, 569, 676, 9494, 2729, 269, 26850, 619, 945, 18084, 519, 9456, 22615, 28569, 547, 1832, 519, 24027, 20679, 538, 3624, 13859, 609, 1426, 267, 4492, 267, 543, 9604, 1996, 3567, 734, 2181, 28124, 621, 689, 23622, 922, 1379, 538, 519, 7414, 734, 21865, 24363, 538, 4642, 23724, 2225, 267, 3006, 1835, 4770, 883, 10239, 610, 9991, 689, 519, 6607, 689, 5545, 20023, 6285, 269, 8409, 21804, 945, 15068, 267, 9291, 12603, 321, 1245, 11324, 4240, 269, 769, 18774, 1772, 1924, 5682, 267, 12603, 321, 1245, 12667, 569, 6257, 519, 3002, 543, 588, 1074, 540, 519, 26570, 282, 519, 2357, 2381, 267, 561, 823, 267, 543, 682, 16696, 282, 519, 26009, 10239, 543, 887, 2130, 8933, 269, 6762, 609, 2112, 27325, 267, 8797, 322, 13715, 267, 543, 2025, 1922, 5831, 539, 2453, 267, 1010, 1650, 26871, 828, 919, 609, 13597, 543, 4564, 519, 2984, 540, 1082, 2367, 602, 723, 2760, 1044, 5143, 269, 2991, 519, 2278, 781, 2038, 2669, 267, 519, 12377, 729, 2322, 2476, 538, 606, 1140, 545, 734, 2863, 559, 1631, 269, 3371, 267, 689, 519, 20224, 540, 602, 1140, 545, 267, 2501, 513, 8903, 1650, 540, 10100, 896, 3595, 543, 5869, 1143, 585, 519, 6502, 563, 21776, 476, 6187, 267, 476, 1001, 273, 454, 276, 269, 8618, 2473, 476, 271, 269, 278, 2473, 476, 278, 269, 4200, 6279, 1923, 476, 271, 269, 5038, 6550, 454, 292, 7568, 676, 5009, 2835, 454, 292, 7568, 2724, 676, 4687, 707, 5172, 2835, 998, 938, 10500, 559, 5573, 1982, 11065, 22877, 606, 24988, 454, 10666, 519, 8191, 454, 299, 339, 269, 5261, 12603, 321, 1245, 5206, 18774, 1772, 1924, 5682, 16172, 1310, 13059, 547, 3013, 269, 1323, 21626, 7902, 538, 15328, 332, 641, 13457, 538, 476, 3707, 277, 543, 11076, 3203, 20455, 4750, 538, 476, 3707, 278, 269, 1261, 5747, 538, 476, 3422, 276, 269, 9400, 4223, 1492, 9749, 568, 513, 4183, 5856, 267, 4171, 960, 814, 7902, 538, 519, 1715, 3840, 8648, 267, 11785, 31248, 267, 19134, 5112, 3938, 656, 267, 19866, 27264, 267, 1977, 11595, 267, 1977, 28483, 267, 13474, 12389, 267, 28599, 5020, 267, 12590, 6355, 543, 9483, 5623, 267, 543, 1082, 824, 12326, 269, 1323, 26462, 2006, 538, 10476, 689, 476, 3422, 276, 547, 476, 3422, 277, 267, 646, 2729, 538, 29928, 267, 19051, 563, 288, 13639, 3778, 3883, 11833, 5542, 834, 291, 773, 321, 1245, 5693, 22234, 513, 10516, 585, 9423, 267, 543, 646, 781, 3893, 930, 1434, 2984, 547, 2995, 269, 3414, 621, 782, 267, 12603, 321, 1245, 568, 513, 812, 540, 27277, 543, 1434, 17869, 267, 2141, 11235, 547, 1265, 519, 9644, 538, 3871, 602, 1131, 14710, 519, 1447, 14388, 269, 3267, 634, 1650, 646, 6645, 3947, 15266, 547, 519, 1249, 602, 3833, 8723, 1004, 616, 5827, 540, 3257, 519, 1034, 9058, 1919, 1701, 4534, 21545, 1633, 19051, 4964, 670, 14283, 834, 2304, 3078, 9661, 1701, 4534, 291, 2905, 10089, 671, 690, 630, 300, 12578, 264, 834, 289, 650, 1185, 811, 575, 7491, 982, 1022, 812, 594, 4312, 2479, 1558, 269, 1547, 1547, 1547, 31035, 689, 1250, 1612, 778, 1393, 267, 594, 5433, 646, 729, 519, 1655, 1272, 6142, 594, 1185, 950, 594, 24363, 1701, 734, 10673, 13560, 773, 267, 2278, 540, 674, 2391, 519, 670, 2794, 0, 2691, 513, 1268, 814, 606, 1995, 267, 521, 270, 515, 3705, 1206, 519, 1995, 1759, 2901, 2390, 606, 2479, 9750, 2039, 540, 10626, 1496, 921, 5501, 9706, 664, 3910, 2390, 1991, 1702, 610, 1759, 593, 21658, 609, 1991, 1702, 269, 3683, 942, 267, 891, 12496, 18645, 2394, 519, 1268, 568, 2111, 547, 2253, 547, 1711, 513, 2048, 1492, 800, 540, 2495, 685, 1496, 17141, 1063, 519, 6502, 540, 2947, 543, 5722, 316, 609, 799, 547, 3589, 1018, 568, 2469, 547, 4755, 538, 519, 2104, 269, 589, 1268, 945, 814, 14648, 1082, 2833, 607, 11213, 786, 1287, 2253, 547, 1995, 11605, 8164, 789, 3589, 971, 2833, 616, 2693, 547, 2049, 269, 1452, 2048, 3430, 6421, 685, 610, 19753, 21752, 1764, 593, 606, 7317, 1158, 543, 1419, 5352, 4010, 519, 11605, 602, 519, 1268, 4397, 1107, 17923, 519, 3069, 269, 1879, 519, 1268, 779, 3069, 540, 2495, 568, 538, 2898, 610, 851, 1253, 7675, 267, 789, 1995, 2042, 538, 2713, 269, 590, 1197, 640, 5673, 593, 519, 4110, 540, 2123, 1436, 267, 18094, 543, 829, 11663, 4369, 282, 543, 519, 4611, 4110, 540, 5626, 8112, 2139, 547, 519, 1367, 563, 763, 3804, 540, 782, 5042, 1689, 568, 547, 948, 519, 1268, 1689, 519, 2495, 540, 519, 1253, 7675, 2833, 689, 1360, 25302, 4641, 883, 513, 811, 7059, 543, 7787, 4641, 1107, 7551, 2810, 519, 5626, 8112, 269, 901, 3340, 513, 1558, 659, 4321, 1496, 628, 9722, 827, 3206, 316, 1184, 563, 7712, 649, 6655, 1344, 547, 6000, 543, 547, 1866, 998, 1312, 2451, 1532, 1778, 7954, 543, 1893, 2035, 543, 1318, 1532, 1778, 11521, 1431, 543, 1471, 30844, 630, 326, 583, 264, 14815, 1107, 28031, 802, 282, 1312, 540, 891, 3344, 616, 3730, 538, 4657, 519, 1344, 2139, 585, 7664, 269, 634, 1739, 16097, 4766, 3376, 2127, 540, 6304, 269, 1358, 616, 711, 29814, 269, 1358, 16937, 14320, 269, 1358, 3622, 1397, 267, 2705, 267, 875, 519, 2242, 538, 3206, 1496, 935, 32383, 543, 28031, 802, 316, 616, 9619, 563, 20329, 334, 25531, 281, 589, 1184, 540, 22393, 3246, 1007, 2035, 547, 606, 1367, 547, 5512, 873, 547, 2048, 20459, 8335, 685, 827, 2833, 269, 634, 10700, 1184, 540, 5042, 1689, 568, 547, 5581, 543, 8415, 5042, 2994, 1496, 21865, 2919, 883, 6620, 630, 14588, 6900, 5042, 4640, 10873, 602, 1291, 547, 1808, 4093, 264, 610, 646, 584, 2524, 630, 14588, 6900, 5042, 4640, 10873, 602, 1291, 547, 21483, 4093, 1040, 1452, 2994, 616, 16175, 1031, 543, 1419, 2154, 1007, 2035, 547, 581, 9715, 585, 6388, 269, 1280, 1383, 281, 538, 3955, 26051, 15465, 9046, 14572, 267, 519, 2035, 540, 1354, 543, 1310, 616, 16122, 547, 1373, 2111, 547, 946, 519, 7097, 269, 898, 729, 4362, 602, 2185, 1032, 31545, 666, 1451, 891, 2035, 543, 4061, 666, 946, 519, 20072, 547, 4194, 14375, 2042, 269, 1306, 1776, 1383, 267, 513, 2565, 1523, 585, 1620, 5042, 1689, 568, 519, 1523, 540, 4356, 6672, 269, 7102, 3810, 13736, 543, 13128, 5578, 11148, 547, 1831, 2048, 7116, 983, 685, 1107, 17499, 267, 5094, 689, 824, 1983, 267, 543, 1863, 689, 17319, 1852, 269, 634, 1249, 602, 1004, 1831, 17499, 540, 513, 16625, 610, 22150, 17003, 1281, 711, 1611, 602, 519, 17003, 814, 20374, 282, 593, 519, 14669, 267, 621, 5170, 547, 581, 9268, 538, 519, 3617, 3403, 1062, 1107, 17499, 1145, 543, 15334, 4043, 547, 979, 1927, 269, 634, 2530, 540, 9637, 540, 513, 22150, 2680, 2048, 529, 685, 519, 5365, 602, 519, 2680, 814, 1044, 4121, 4625, 269, 6270, 13128, 6114, 666, 581, 1500, 6857, 543, 6857, 2833, 616, 2139, 585, 27327, 563, 7883, 531, 270, 19368, 22548 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4475, 519, 1599, 568, 6024, 4399, 1721, 718, 1535, 259, 971, 602, 1269, 272, 910, 1535, 317, 277, 15871, 263, 272, 14870, 317, 277, 29408, 602, 568, 267, 1269, 343, 7807, 10975, 476, 272, 10608, 0, 258, 8838, 2711, 5690, 547, 7058, 1022, 4351, 8870, 1510, 7182, 2496, 2162, 2871, 31757, 10794, 769, 16186, 3230, 314, 272, 267, 562, 316, 9681, 763, 8106, 27378, 3014, 4422, 1945, 899, 713, 13718, 272, 269, 3776, 3659, 14659, 540, 606, 8870, 1063, 3230, 272, 2330, 543, 3230, 1911, 2330, 630, 2280, 781, 2161, 789, 4584, 3230, 5655, 2330, 6393, 273, 269, 1284, 2119, 547, 7058, 602, 1297, 609, 519, 1906, 652, 7058, 525, 2009, 281, 3230, 1911, 267, 476, 274, 267, 476, 278, 267, 476, 1789, 267, 3267, 9681, 274, 269, 1809, 1169, 942, 649, 7058, 267, 789, 2161, 2436, 519, 4890, 1297, 568, 2362, 610, 2539, 982, 1018, 649, 31665, 1862, 3230, 1911, 263, 12294, 1070, 476, 274, 22607, 27941, 1070, 476, 278, 263, 12294, 1070, 476, 1789, 263, 12294, 1070, 3267, 9681, 2467, 568, 2965, 606, 6099, 3070, 547, 713, 1966, 269, 1635, 6616, 2436, 741, 1297, 568, 2362, 610, 2539, 982, 938, 3105, 7058, 267, 649, 666, 2141, 3442, 938, 1985, 7058, 538, 4010, 519, 1647, 540, 519, 6967, 2039, 1862, 6695, 8218, 15204, 2410, 347, 322, 347, 322, 347, 322, 347, 322, 347, 322, 347, 348, 1422, 327, 1467, 1422, 3667, 346, 258, 348, 1299, 1422, 3667, 346, 302, 6877, 16186, 348, 1299, 1422, 3667, 346, 10831, 540, 18169, 348, 1299, 1422, 3667, 346, 10817, 612, 348, 1299, 1422, 3667, 346, 5655, 1772, 14451, 2107, 13722, 348, 8607, 1422, 327, 1467, 476, 272, 269, 1299, 476, 272, 1862, 1911, 1299, 476, 1911, 1299, 476, 2004, 1299, 1422, 3667, 346, 299, 1077, 348, 8607, 1422, 327, 1467, 476, 273, 269, 1299, 476, 272, 1862, 5392, 1299, 476, 5392, 1299, 476, 1839, 1299, 1422, 3667, 346, 295, 27941, 348, 8607, 1422, 327, 1467, 476, 274, 269, 1299, 476, 2918, 1862, 5392, 1299, 476, 2190, 1299, 476, 4391, 1299, 1422, 3667, 346, 295, 27941, 348, 8607, 1422, 327, 1467, 476, 275, 269, 1299, 476, 4343, 1862, 5392, 1299, 476, 1321, 1299, 476, 6246, 1299, 1422, 3667, 346, 299, 1077, 348, 8607, 1422, 327, 1467, 476, 276, 269, 1299, 476, 4343, 1862, 5655, 1299, 476, 276, 1299, 476, 2412, 1299, 1422, 3667, 346, 295, 27941, 348, 8607, 1422, 327, 1467, 476, 277, 269, 1299, 476, 6078, 1862, 5655, 1299, 476, 273, 1299, 476, 6078, 1299, 1422, 3667, 346, 295, 27941, 348, 8607, 1422, 327, 1467, 476, 278, 269, 1299, 476, 5655, 1862, 5655, 1299, 476, 272, 1299, 476, 5655, 1299, 1422, 3667, 346, 310, 514, 348, 8607, 1422, 327, 1467, 1422, 754, 15204, 15732, 3528, 1210, 713, 1505, 649, 616, 4227, 519, 1297, 540, 6967, 3681, 676, 10199, 513, 3368, 609, 1142, 7058, 269, 898, 3576, 721, 1152, 3230, 278, 2330, 7058, 525, 547, 7058, 513, 4351, 1297, 689, 3230, 272, 2330, 547, 3230, 1911, 29634, 2162, 5606, 9548, 2871, 31757, 10794, 3230, 314, 272, 267, 1422, 13727, 264, 9681, 1432, 952, 649, 2307, 938, 3659, 547, 4584, 606, 8870, 3230, 330, 2330, 1063, 3230, 272, 2330, 543, 20581, 2496, 3674, 972, 606, 5690, 799, 666, 581, 8810, 547, 581, 519, 1034, 3608, 538, 2474, 540, 519, 3328, 1297, 540, 7058, 525, 585, 4466, 519, 2626, 2496, 4692, 621, 581, 8810, 602, 972, 666, 711, 2291, 971, 606, 5690, 2496, 7069, 7058, 568, 602, 649, 991, 547, 4194, 713, 1966, 538, 1079, 5094, 3268, 1384, 272, 269, 4855, 606, 5580, 27995, 3230, 333, 2330, 602, 568, 2362, 982, 3230, 330, 29634, 273, 269, 16534, 519, 3312, 1966, 538, 519, 2039, 3230, 314, 272, 19885, 316, 29634, 2252, 649, 1185, 782, 519, 942, 538, 519, 7122, 267, 543, 1317, 519, 1297, 3230, 330, 2330, 568, 513, 13113, 1297, 267, 649, 786, 7058, 621, 5555, 780, 2171, 666, 1256, 5581, 930, 2009, 2081, 540, 4466, 3230, 333, 2330, 1384, 1892, 25478, 689, 476, 272, 20733, 269, 3230, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 3267, 2330, 630, 307, 1389, 4010, 3230, 330, 2330, 7058, 525, 547, 3914, 519, 2626, 8094, 1892, 2871, 31757, 513, 4351, 1297, 538, 519, 1016, 24365, 540, 7399, 269, 630, 1692, 547, 5581, 8939, 513, 4351, 1297, 1063, 3230, 272, 2330, 543, 20581, 286, 994, 1892, 8293, 2130, 938, 7058, 2394, 649, 1265, 606, 5580, 3808, 269, 3230, 1015, 267, 476, 1911, 267, 476, 1015, 317, 275, 267, 476, 1015, 317, 279, 267, 476, 1015, 3867, 1626, 9574, 3267, 16465, 1892, 10699, 532, 938, 7058, 2394, 649, 1265, 606, 5580, 3808, 286, 3230, 1015, 267, 476, 1911, 271, 267, 476, 1015, 317, 280, 267, 476, 1015, 3867, 2767, 9574, 3267, 2330, 630, 1432, 952, 649, 6318, 547, 606, 1256, 2362, 1379, 286, 994, 1892, 5890, 11228, 569, 2810, 938, 7058, 2394, 649, 1265, 606, 5580, 3808, 269, 3230, 1015, 267, 476, 273, 3867, 1015, 9574, 476, 273, 3867, 273, 3867, 1015, 3686, 267, 3267, 9681, 2171, 1223, 1832, 10747, 1114, 2553, 899, 891, 11014, 780, 763, 2055, 616, 1384, 272, 269, 3657, 782, 891, 2553, 8449, 4570, 888, 273, 269, 1403, 711, 267, 875, 666, 789, 581, 10288, 538, 2474, 540, 4398, 888, 274, 269, 1403, 519, 1297, 3230, 330, 2330, 666, 581, 9170, 1063, 3230, 272, 2330, 543, 3230, 330, 18079, 1281, 713, 8850, 1611, 602, 519, 3328, 1297, 540, 7058, 525, 585, 1022, 4480, 11148, 547, 20581, 888, 275, 269, 634, 1966, 568, 711, 1152, 4466, 519, 5580, 27995, 607, 3533, 607, 2009, 267, 855, 849, 4466, 621, 538, 513, 1259, 602, 1310, 649, 723, 1336, 621, 649, 666, 1265, 519, 1297, 3294, 607, 3533, 607, 2009, 780, 2162, 17677, 268, 14813, 9548, 2871, 31757, 10794, 3230, 8987, 315, 13727, 267, 1422, 13727, 264, 9681, 2791, 917, 519, 2243, 547, 713, 13718, 1892, 1548, 568, 519, 3892, 540, 519, 13603, 2338, 286, 1107, 1109, 28061, 4437, 549, 3057, 476, 2767, 693, 476, 736, 281, 6872, 454, 1892, 1411, 8197, 3112, 2911, 827, 834, 320, 2071, 1297, 540, 7058, 525, 257, 1510, 28408, 513, 3892, 593, 519, 3903, 540, 1269, 330, 10608, 834, 4462, 6134, 257, 568, 711, 2469, 547, 2759, 621, 1934, 2807, 1107, 1109, 290, 2211, 595, 269, 3057, 476, 2767, 693, 476, 736, 281, 6795, 454, 1892, 1306, 11329, 856, 538, 519, 1657, 8292, 267, 596, 991, 547, 14574, 519, 3892, 540, 519, 3403, 547, 1118, 707, 2243, 5730, 269, 1717, 267, 707, 1592, 540, 2009, 6620, 9631, 1080, 519, 835, 602, 2501, 1101, 547, 1250, 2247, 585, 519, 1269, 314, 272, 267, 1422, 13727, 7751, 2013, 281, 12077, 267, 5595, 707, 3355, 7058, 2394, 596, 4312, 3893, 606, 5580, 3808, 269, 901, 786, 2285, 606, 5690, 602, 814, 32568, 6988, 3448, 547, 519, 3403, 1269, 330, 10608, 594, 1589, 707, 10372, 786, 782, 581, 1454, 8338, 982, 713, 269, 1107, 1109, 21659, 1488, 22474, 3057, 476, 2767, 693, 476, 2641, 281, 1724, 692, 288, 4052, 1935, 547, 713, 568, 547, 1376, 609, 3230, 333, 284, 272, 2330, 630, 528, 3230, 333, 284, 2330, 1022, 2318, 8870, 596, 899, 1070, 543, 5595, 707, 7058, 2394, 596, 3914, 606, 3230, 333, 315, 613, 737, 21974, 3973, 596, 666, 2932, 707, 9352, 3406, 593, 519, 6967, 7399, 3230, 333, 270, 273, 2999, 737, 2999, 562, 2330, 563, 1607, 666, 1405, 581, 8810, 547, 581, 519, 1034, 3608, 1505, 267, 1317, 547, 798, 602, 596, 1131, 991, 547, 917, 519, 5506, 540, 1142, 3230, 330, 18079, 799, 27229, 596, 1810, 1405, 269, 1809, 621, 568, 606, 1935, 594, 723, 1031, 538, 811, 982, 835, 2780, 5752, 1966, 563, 3528, 519, 1259, 267, 707, 8935, 29087, 5606, 9548, 2871, 31757, 10794, 666, 581, 4389, 547, 519, 590, 5944, 5606, 9548, 4528, 267, 3274, 676, 27378, 3230, 333, 284, 271, 2330, 693, 707, 1101, 2490, 563, 1892, 901, 568, 2965, 513, 1434, 4640, 1256, 1510, 3892, 593, 519, 3403, 281, 596, 666, 6961, 513, 1644, 2539, 3808, 593, 519, 1297, 540, 7058, 525, 538, 519, 10782, 30924, 4259, 630, 553, 513, 1599, 540, 1269, 330, 259, 3294, 1040, 8745, 569, 267, 596, 786, 723, 1269, 302, 7268, 8421, 737, 7751, 1297, 540, 7058, 525, 267, 543, 596, 991, 4399, 29604, 7268, 8421, 737, 7751, 1022, 1811, 630, 16838, 952, 594, 2285, 596, 606, 5580, 3808, 593, 1269, 330, 8961, 2161, 513, 1871, 1269, 333, 259, 971, 602, 1269, 333, 270, 1911, 1422, 19008, 737, 1422, 19008, 476, 1911, 333, 259, 4700, 1107, 1109, 290, 2211, 595, 269, 3057, 476, 2767, 693, 476, 2641, 281, 1789, 0, 258, 853, 1738, 11466, 281, 4855, 519, 8082, 538, 513, 1489, 10814, 692, 1012, 14581, 12307, 692, 394, 352, 30004, 4302, 815, 476, 271, 454, 394, 352, 325, 343, 284, 271, 454, 394, 352, 325, 344, 284, 271, 454, 30004, 4302, 284, 674, 678, 5609, 15184, 630, 15184, 568, 519, 5086, 1063, 519, 678, 543, 519, 674, 2020, 1012, 634, 28055, 693, 513, 8827, 692, 10498, 599, 267, 1631, 1775, 917, 875, 547, 4194, 713, 267, 855, 621, 781, 899, 1775, 4280, 8885, 267, 875, 547, 917, 952, 713, 568, 513, 2243, 602, 1775, 993, 9277, 547, 946, 454, 394, 352, 325, 343, 284, 271, 543, 3852, 352, 325, 344, 284, 271, 630, 6124, 2023, 781, 1876, 3992, 264, 543, 1205, 519, 2626, 610, 547, 946, 519, 3852, 352, 30004, 4302, 284, 271, 609, 3852, 352, 325, 343, 284, 271, 267, 3852, 352, 325, 344, 284, 271, 269, 865, 1775, 1767, 1577, 803, 4194, 713, 2243, 607, 952, 1775, 1869, 4769, 1405, 1491, 519, 18165, 2943, 267, 543, 952, 1775, 7948, 1405, 3914, 547, 1022, 2626, 543, 723, 711, 2614, 1634, 2418, 2073, 1287, 540, 1576, 1775, 786, 723, 547, 946, 519, 2040, 540, 18165, 284, 476, 271, 547, 3914, 519, 2626, 269, 630, 5700, 602, 713, 2243, 666, 581, 12193, 1152, 676, 519, 2040, 540, 18165, 284, 271, 1510, 2469, 998, 519, 2040, 540, 4229, 1916, 810, 1775, 3323, 547, 1265, 519, 3852, 352, 325, 343, 284, 271, 4229, 454, 663, 7948, 1405, 1265, 1152, 835, 3196, 799, 568, 519, 1535, 5057, 540, 519, 8082, 3196, 630, 570, 6523, 263, 1789, 264, 547, 519, 7178, 264, 543, 1018, 827, 519, 824, 3196, 547, 519, 1318, 286, 568, 621, 519, 715, 3196, 689, 519, 3774, 610, 1018, 563, 328, 1767, 6148, 621, 781, 715, 3196, 630, 711, 2386, 1070, 543, 621, 781, 711, 2854, 1934, 2094, 519, 18165, 540, 713, 3196, 786, 581, 4642, 1317, 621, 10596, 998, 519, 22141, 1448, 6074, 630, 527, 781, 3254, 2282, 519, 3774, 538, 519, 4137, 1040, 865, 1775, 1616, 547, 917, 1018, 568, 519, 6587, 1535, 3196, 547, 519, 7532, 547, 22599, 570, 6523, 263, 1789, 1916, 663, 585, 586, 621, 1131, 581, 281, 3852, 352, 325, 344, 284, 271, 454, 307, 7562, 1789, 815, 27002, 1341, 8406, 454, 2431, 2496, 2971, 5900, 778, 906, 692, 3393, 269, 275, 22995, 5788, 14358, 281, 476, 277, 3953, 692, 302, 16967, 745, 514, 454, 1805, 3530, 9622, 7978, 454, 29094, 4477, 704, 454, 20112, 16588, 454, 663, 7948, 1405, 1265, 1152, 835, 3196, 799, 568, 519, 1535, 5057, 540, 519, 8082, 3196, 630, 570, 6523, 263, 1789, 264, 547, 519, 7178, 264, 543, 1018, 827, 519, 824, 3196, 547, 519, 1318, 286, 568, 621, 519, 715, 3196, 689, 519, 3774, 610, 1018, 563, 1607, 5673, 593, 1018, 2694, 540, 519, 2497, 596, 616, 1519, 538, 707, 1863, 23073, 6516, 269, 9453, 28408, 602, 267, 596, 3112, 1118, 3196, 4834, 610, 18165, 4834, 780, 663, 585, 586, 621, 1131, 581, 281, 3852, 352, 325, 344, 284, 271, 454, 307, 7562, 1789, 815, 27002, 1341, 8406, 454, 2431, 888, 9989, 621, 6474, 519, 1267, 596, 1205, 585, 12361, 307, 1012, 952, 596, 1152, 2015, 519, 18165, 269, 1403, 711, 267, 1287, 621, 568, 711, 2953, 780, 306, 27495, 305, 16730, 454, 1607, 5673, 593, 1018, 2694, 540, 519, 2497, 596, 616, 1519, 538, 707, 1863, 23073, 6516, 269, 9453, 28408, 602, 267, 596, 3112, 1118, 3196, 4834, 610, 18165, 4834, 563, 6614, 320, 1695, 267, 1775, 3893, 1018, 596, 1611, 269, 1775, 993, 2921, 519, 554, 6548, 6676, 607, 519, 1560, 1373, 7059, 865, 23241, 328, 17223, 570, 689, 519, 5681, 540, 18165, 543, 3893, 570, 3160, 547, 476, 29848, 274, 715, 799, 568, 9090, 2953, 269, 543, 865, 1775, 4294, 1934, 454, 8999, 540, 535, 344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 4387, 547, 4341, 856, 1022, 5817, 2175, 563, 25618, 625, 585, 10266, 28057, 281, 1215, 547, 28509, 13722, 7982, 10266, 1879, 18130, 2358, 454, 2750, 2075, 2358, 568, 606, 1271, 851, 540, 4509, 513, 2635, 6197, 267, 855, 621, 666, 581, 2352, 547, 4383, 2539, 1394, 1928, 1247, 3257, 865, 269, 13722, 1394, 1928, 666, 581, 3361, 676, 513, 3099, 540, 2188, 267, 1519, 4057, 14302, 267, 4617, 4295, 6091, 267, 543, 936, 2224, 540, 1978, 6091, 269, 18641, 267, 972, 616, 1896, 2994, 602, 666, 948, 547, 2569, 2539, 1394, 1928, 1247, 16706, 563, 272, 269, 24953, 5455, 543, 15346, 13560, 281, 6969, 543, 1310, 1022, 3635, 267, 621, 568, 1271, 547, 3636, 909, 543, 3579, 1524, 269, 654, 9879, 909, 2337, 547, 2333, 1973, 2095, 547, 519, 6091, 543, 10549, 267, 1247, 9023, 1524, 2337, 547, 2569, 4887, 8082, 543, 2061, 5945, 269, 853, 4958, 4221, 543, 1769, 20659, 2534, 616, 1390, 2081, 547, 3636, 909, 543, 3579, 1524, 563, 273, 269, 16237, 6533, 11759, 4053, 3380, 281, 31808, 4295, 6091, 666, 3565, 547, 2539, 1394, 1928, 269, 16237, 28517, 519, 4295, 6091, 666, 948, 547, 2569, 1928, 543, 2087, 14302, 269, 11759, 5751, 971, 607, 1544, 802, 267, 13123, 267, 543, 1835, 31708, 666, 948, 547, 7794, 519, 4295, 6091, 563, 274, 269, 2422, 7743, 4813, 281, 18648, 1106, 666, 1291, 547, 5945, 543, 1928, 269, 1879, 16706, 267, 621, 568, 1271, 547, 946, 1697, 1106, 547, 2327, 602, 519, 6091, 616, 1373, 1031, 7157, 269, 1403, 596, 616, 18516, 540, 519, 1697, 1106, 585, 606, 3635, 267, 5077, 513, 26519, 610, 2168, 13309, 563, 275, 269, 19415, 547, 2659, 10610, 281, 898, 568, 1271, 547, 6432, 547, 707, 1560, 543, 581, 3222, 540, 1022, 1928, 610, 9636, 269, 1403, 596, 1995, 1928, 1247, 16706, 267, 3247, 543, 1964, 269, 1403, 519, 1928, 26251, 267, 5077, 513, 4387, 610, 2168, 13309, 563, 3528, 1739, 891, 2994, 267, 596, 666, 2569, 2539, 1394, 1928, 1247, 16706, 269, 5457, 547, 3636, 909, 543, 3579, 1524, 267, 7794, 707, 4295, 6091, 267, 946, 1697, 1106, 267, 543, 6432, 547, 707, 1560, 269, 2060, 519, 1318, 1935, 267, 596, 666, 3635, 9108, 543, 3927, 563, 299, 1077, 1394, 1928, 950, 16706, 568, 513, 1455, 3390, 602, 666, 581, 3361, 676, 513, 3099, 540, 2188, 269, 18641, 267, 972, 616, 1082, 2994, 602, 666, 581, 1031, 547, 948, 2569, 543, 4383, 519, 1928, 269, 1452, 2994, 1331, 1697, 3636, 5346, 543, 3579, 16365, 5751, 267, 15198, 267, 14304, 5751, 267, 543, 1697, 1106, 543, 4480, 269, 3958, 267, 621, 568, 1271, 547, 6432, 547, 707, 1560, 543, 1491, 9397, 950, 2877, 269, 2060, 519, 1318, 2994, 267, 2539, 1394, 1928, 950, 16706, 666, 581, 7307, 543, 4389, 269, 0, 763, 2817, 5244, 6796, 630, 301, 4916, 264, 568, 6236, 513, 11556, 676, 22210, 9116, 13813, 7577, 547, 2932, 513, 5619, 540, 1761, 3282, 543, 3154, 14425, 538, 8262, 595, 2988, 816, 2817, 3465, 2925, 630, 6195, 23259, 264, 538, 744, 577, 2100, 324, 267, 8419, 563, 763, 8116, 568, 6236, 1614, 4566, 547, 3713, 3282, 538, 513, 476, 8099, 30026, 28902, 1858, 1369, 7460, 23259, 269, 2290, 4781, 1131, 4125, 968, 628, 32658, 18114, 892, 11013, 532, 519, 2666, 547, 3132, 20381, 1035, 24065, 673, 6786, 267, 610, 21513, 267, 9571, 676, 2256, 1392, 602, 1131, 1450, 519, 11837, 540, 519, 7449, 16577, 20569, 538, 1931, 547, 3713, 3282, 269, 589, 2034, 4781, 1131, 4125, 1033, 517, 908, 14885, 1161, 585, 519, 1482, 3483, 269, 634, 3791, 6069, 4781, 1131, 2226, 519, 4567, 28943, 267, 7303, 1022, 5619, 563, 15430, 2925, 17497, 21277, 806, 13813, 454, 302, 559, 2504, 538, 7460, 23259, 568, 711, 8966, 267, 3081, 8355, 918, 880, 267, 9972, 13030, 7022, 585, 3609, 693, 519, 4659, 585, 6052, 3194, 563, 10527, 8262, 595, 2988, 816, 8190, 814, 1044, 6721, 1648, 2094, 519, 476, 3707, 271, 338, 267, 543, 3408, 267, 1519, 20381, 267, 814, 1044, 2921, 1747, 2479, 2094, 2223, 1767, 918, 880, 563, 2750, 343, 517, 22994, 559, 814, 3812, 3282, 1369, 519, 8190, 693, 922, 476, 2537, 2914, 749, 19594, 6816, 2361, 2094, 476, 3192, 273, 543, 693, 922, 476, 1704, 2914, 749, 681, 8829, 517, 8672, 2361, 2094, 476, 3192, 279, 563, 20245, 2516, 1843, 547, 9450, 3408, 610, 2504, 1369, 7460, 23259, 543, 616, 14053, 513, 2407, 2825, 1764, 5619, 630, 292, 3041, 264, 547, 2708, 2436, 519, 1788, 786, 723, 8801, 5222, 593, 519, 1604, 610, 7320, 538, 519, 6288, 563, 298, 880, 3081, 513, 1007, 661, 3041, 568, 11991, 563, 10527, 4066, 1031, 2221, 616, 1454, 811, 4359, 982, 1346, 8385, 1031, 267, 543, 972, 729, 1100, 3441, 602, 840, 7672, 519, 3105, 10661, 543, 7269, 540, 519, 8190, 2223, 918, 880, 1767, 563, 22025, 1113, 15053, 570, 3637, 454, 301, 4916, 814, 2907, 5342, 513, 16861, 2825, 4879, 630, 12788, 264, 602, 5462, 1210, 555, 32658, 18114, 968, 322, 746, 5732, 723, 930, 1764, 593, 6870, 7320, 267, 2101, 3014, 2249, 267, 543, 824, 7320, 538, 519, 3465, 2925, 563, 2108, 5278, 2249, 1223, 581, 16271, 547, 2110, 3856, 2566, 1282, 741, 9960, 4005, 1496, 553, 513, 1267, 540, 519, 555, 32658, 18114, 316, 2223, 715, 4916, 538, 922, 4879, 269, 968, 7212, 711, 17191, 267, 9019, 30032, 329, 1722, 547, 7320, 1223, 849, 2049, 3034, 763, 661, 288, 849, 5359, 930, 2640, 1223, 934, 4902, 547, 6870, 7320, 998, 1007, 968, 11907, 11601, 267, 4015, 267, 543, 4687, 609, 8116, 10986, 3034, 763, 661, 288, 6920, 1022, 5222, 593, 1216, 2298, 610, 10009, 1131, 581, 2110, 3856, 563, 10527, 2804, 2640, 540, 1648, 2504, 616, 11999, 267, 1519, 1360, 1434, 1790, 11691, 6009, 267, 9204, 267, 543, 1007, 1648, 2959, 2223, 1767, 918, 880, 269, 968, 4322, 6009, 616, 2523, 1271, 538, 6917, 2127, 563, 2108, 7712, 621, 666, 581, 2944, 609, 1100, 18476, 1764, 19962, 547, 6639, 8441, 538, 3408, 267, 1646, 267, 543, 2504, 267, 3850, 519, 7777, 10040, 8227, 547, 3635, 741, 2924, 568, 519, 1318, 3364, 547, 798, 2223, 918, 880, 1767, 563, 17606, 779, 4440, 1932, 2038, 547, 2995, 1018, 519, 2817, 5244, 6796, 786, 798, 2223, 918, 880, 1767, 269, 968, 15152, 519, 15525, 7245, 267, 519, 25181, 4972, 814, 1044, 9244, 10353, 547, 6721, 3282, 543, 3154, 689, 1857, 3338, 267, 607, 23576, 676, 519, 19394, 2504, 5515, 689, 5313, 3338, 543, 7297, 3034, 288, 569, 1087, 320, 2961, 706, 764, 328, 630, 314, 16942, 6870, 8079, 11339, 689, 570, 2086, 320, 267, 8419, 269, 0, 294, 3711, 1782, 3322, 530, 698, 1359, 1945, 540, 1871, 593, 606, 7334, 2680, 269, 8422, 2188, 1058, 581, 2808, 1354, 4098, 547, 13708, 1076, 281, 7156, 267, 16101, 267, 543, 1981, 269, 3367, 593, 547, 1451, 811, 827, 519, 12178, 540, 1966, 13989, 269, 5903, 539, 2630, 616, 930, 1806, 540, 519, 4539, 540, 13989, 269, 3367, 713, 2376, 547, 1451, 875, 547, 2061, 1966, 13989, 543, 1832, 621, 2922, 585, 707, 23129, 543, 707, 1072, 269, 5903, 539, 2630, 616, 519, 1034, 1455, 3029, 540, 13989, 543, 930, 4388, 547, 2061, 621, 269, 1809, 267, 1354, 596, 1205, 3323, 267, 1224, 713, 2376, 547, 1451, 811, 827, 1966, 13989, 543, 875, 547, 5431, 4191, 543, 2589, 563, 19370, 13989, 568, 606, 22925, 4524, 454, 288, 2487, 1353, 4951, 602, 1966, 13989, 8843, 1082, 10486, 609, 3075, 8213, 269, 898, 568, 849, 606, 22925, 4524, 267, 1317, 621, 5540, 519, 2634, 779, 8007, 1062, 267, 799, 6402, 19635, 2634, 4525, 269, 634, 1353, 267, 5342, 676, 519, 5177, 32573, 1782, 8189, 267, 849, 4951, 602, 1966, 13989, 568, 4448, 547, 2168, 538, 13808, 267, 4057, 2732, 267, 543, 2949, 1134, 5630, 269, 1717, 267, 972, 568, 1869, 513, 1279, 1259, 547, 979, 1354, 1966, 13989, 3587, 606, 22925, 4524, 563, 2005, 666, 1291, 547, 2942, 5626, 267, 2168, 267, 543, 1514, 29854, 454, 4407, 13989, 814, 2141, 1044, 513, 2442, 2250, 830, 267, 621, 814, 1831, 606, 8213, 543, 814, 3978, 29854, 593, 513, 1268, 779, 1072, 269, 769, 1840, 547, 519, 2883, 3790, 540, 11222, 22626, 513, 31017, 12464, 2401, 267, 13989, 814, 513, 1713, 1764, 593, 1857, 1072, 267, 799, 666, 723, 2484, 23568, 2360, 269, 3509, 2564, 4648, 18973, 13989, 13982, 338, 547, 3343, 3318, 948, 563, 2005, 666, 581, 513, 20027, 1514, 2534, 454, 294, 3711, 1782, 568, 513, 2442, 1514, 2534, 267, 855, 621, 666, 849, 581, 5739, 269, 898, 30001, 2729, 267, 543, 666, 1291, 547, 9997, 2275, 337, 5241, 7963, 269, 634, 1977, 3872, 1062, 267, 1072, 13282, 1062, 267, 543, 1483, 10140, 622, 2344, 616, 782, 6551, 3022, 269, 1677, 7119, 538, 519, 4346, 267, 596, 1590, 1491, 606, 16650, 1981, 269, 589, 2487, 1383, 568, 519, 8293, 573, 10794, 15170, 267, 799, 1750, 730, 9520, 856, 540, 1269, 274, 2929, 538, 835, 12784, 563, 2005, 666, 581, 5739, 547, 835, 779, 1072, 454, 4407, 621, 568, 3622, 8815, 602, 7050, 13989, 666, 581, 5739, 547, 513, 1268, 779, 1072, 267, 713, 1281, 711, 8209, 1611, 602, 13989, 568, 2141, 5739, 269, 1703, 616, 1082, 2081, 547, 3313, 952, 13989, 568, 5739, 547, 513, 1268, 779, 1072, 269, 2755, 930, 540, 519, 2360, 616, 1463, 267, 1866, 949, 581, 9940, 269, 1473, 1311, 2360, 540, 13989, 666, 1331, 2799, 2566, 2157, 267, 21022, 1582, 12635, 267, 543, 1256, 2883, 2042, 269, 4634, 811, 3978, 5222, 666, 581, 1336, 538, 519, 2146, 267, 607, 13989, 666, 1860, 513, 1268, 779, 2078, 609, 741, 2828, 543, 1920, 2818, 563, 2467, 616, 1896, 1114, 2126, 3681, 2139, 585, 1004, 609, 13989, 8213, 269, 13689, 593, 519, 1826, 540, 8213, 267, 2126, 949, 581, 5227, 538, 606, 538, 18345, 610, 30229, 9744, 269, 15380, 267, 3797, 6212, 593, 4101, 5739, 13989, 5615, 543, 4555, 269, 4033, 3681, 949, 1331, 1489, 2516, 2147, 547, 19364, 543, 21191, 267, 799, 1246, 513, 476, 1321, 9912, 1184, 269, 589, 15360, 609, 513, 22639, 31897, 949, 849, 581, 2556, 269, 901, 4879, 949, 581, 9901, 269, 9615, 3681, 585, 13989, 8213, 4268, 4470, 593, 519, 10335, 540, 519, 1966, 543, 2436, 610, 711, 519, 1367, 568, 513, 12242, 5868, 269, 0, 10998, 12224, 8950, 12726, 7433, 476, 1708, 275, 4147, 476, 277, 585, 12910, 272, 1299, 12910, 273, 1401, 4461, 269, 8281, 19436, 476, 277, 628, 4147, 8950, 4065, 7726, 7433, 476, 1708, 275, 21584, 609, 12226, 3848, 676, 3848, 585, 19446, 23839, 267, 2296, 23839, 267, 543, 21460, 23839, 4841, 1519, 782, 11762, 693, 4179, 2517, 333, 32662, 269, 5371, 23357, 270, 7498, 3086, 513, 2395, 2780, 2029, 4249, 606, 1271, 1909, 538, 519, 1158, 269, 1677, 1217, 827, 713, 2029, 3025, 621, 568, 5189, 607, 513, 1641, 609, 519, 2012, 2780, 2069, 689, 519, 3119, 3296, 547, 513, 2362, 3296, 269, 8950, 4065, 2337, 1169, 2875, 609, 2228, 5049, 267, 2542, 552, 9248, 543, 3092, 269, 6258, 8950, 1702, 3362, 689, 519, 10026, 1377, 998, 519, 8950, 4065, 6092, 563, 10743, 1590, 917, 519, 1883, 3584, 267, 1271, 2055, 543, 6514, 3270, 1354, 11504, 547, 519, 981, 4250, 8393, 269, 2060, 602, 538, 2247, 267, 1346, 10457, 666, 4647, 519, 19436, 8950, 12726, 7433, 476, 1708, 275, 4147, 476, 277, 21584, 609, 4267, 602, 1489, 782, 12043, 540, 11400, 4371, 538, 12910, 272, 1299, 12910, 273, 971, 607, 14408, 272, 267, 14408, 273, 267, 14174, 272, 267, 14174, 273, 267, 14174, 274, 267, 14174, 275, 267, 25849, 906, 543, 824, 2010, 540, 11400, 563, 9336, 476, 277, 628, 3044, 1053, 666, 3346, 519, 1362, 4116, 543, 3450, 5234, 945, 723, 1134, 1995, 538, 741, 1641, 547, 1205, 2203, 1957, 267, 543, 3732, 1957, 10372, 609, 519, 1034, 1271, 2243, 540, 519, 3992, 610, 3184, 269, 31327, 12409, 23941, 723, 5423, 891, 19436, 31969, 277, 8950, 12726, 14430, 476, 1708, 275, 609, 782, 1271, 2055, 799, 723, 1044, 14578, 4280, 538, 3105, 2243, 14430, 563, 763, 1699, 4974, 21038, 540, 519, 9241, 15428, 6437, 540, 519, 1576, 568, 7396, 2630, 799, 2337, 519, 1053, 609, 2834, 2259, 563, 268, 27284, 540, 2780, 454, 268, 6478, 4393, 454, 268, 21992, 2934, 540, 9049, 17948, 454, 268, 2422, 540, 519, 4950, 454, 347, 10998, 12224, 8950, 12726, 7433, 476, 1708, 275, 4147, 476, 277, 1475, 10998, 12224, 476, 277, 628, 4147, 7726, 7433, 476, 1708, 275, 8950, 4065, 2008, 347, 11045, 9285, 4065, 4425, 1841 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1269, 1015, 269, 4037, 22043, 2626, 281, 14161, 7534, 267, 676, 259, 280, 269, 876, 692, 15008, 1384, 7712, 20999, 781, 10958, 10039, 1152, 547, 519, 3312, 3902, 267, 519, 3902, 646, 1131, 581, 2628, 666, 581, 5462, 676, 14921, 476, 5611, 676, 476, 271, 269, 276, 267, 799, 3947, 1269, 4037, 267, 713, 568, 519, 3902, 5786, 602, 20999, 973, 773, 1407, 267, 14626, 1211, 958, 621, 568, 849, 519, 3902, 646, 786, 2628, 1310, 2921, 259, 4037, 1055, 540, 519, 3312, 3902, 540, 1269, 5611, 269, 14161, 7534, 1101, 786, 973, 10079, 519, 476, 736, 260, 9042, 10958, 267, 1200, 9441, 10958, 786, 1287, 4019, 547, 519, 3902, 540, 519, 6221, 1310, 476, 736, 260, 814, 1044, 3144, 1055, 540, 519, 3312, 3902, 269, 634, 9273, 602, 786, 1683, 519, 3902, 602, 14161, 7534, 786, 2628, 616, 607, 5205, 269, 476, 5611, 2608, 476, 271, 269, 273, 815, 476, 1789, 267, 476, 5611, 1107, 476, 1789, 815, 476, 6344, 267, 476, 6344, 2608, 476, 271, 269, 274, 815, 476, 3607, 267, 476, 6344, 1107, 476, 3607, 815, 476, 10019, 269, 1924, 20999, 786, 2628, 259, 4037, 267, 543, 14161, 7534, 786, 2628, 1269, 10019, 269, 14161, 7534, 786, 2628, 811, 676, 259, 280, 780, 2162, 7151, 7726, 1948, 1556, 2433, 1215, 1677, 4855, 634, 22312, 12313, 692, 4537, 16336, 6499, 547, 4444, 513, 10571, 11720, 539, 693, 1547, 1109, 1703, 568, 513, 9042, 602, 3947, 1200, 1109, 1055, 540, 519, 3312, 3902, 269, 1109, 2701, 849, 814, 513, 19420, 517, 602, 3947, 1200, 606, 3606, 1109, 1055, 540, 519, 6718, 3902, 269, 1109, 22695, 1681, 6455, 3454, 267, 875, 1454, 786, 1744, 16336, 723, 547, 2628, 585, 519, 10571, 2496, 15008, 1384, 763, 10571, 568, 4389, 676, 476, 2568, 260, 540, 519, 3312, 3902, 267, 865, 1101, 649, 1590, 4137, 856, 1018, 476, 2568, 260, 540, 1269, 4375, 269, 4200, 568, 281, 476, 271, 269, 277, 265, 4375, 269, 4200, 815, 476, 2537, 269, 4200, 4595, 519, 9042, 568, 476, 2568, 260, 5508, 293, 540, 519, 3312, 3902, 267, 649, 723, 547, 10208, 713, 1297, 689, 519, 3312, 3902, 281, 476, 4375, 269, 4200, 268, 476, 2537, 269, 4200, 284, 259, 1626, 780, 3086, 267, 649, 723, 547, 2569, 713, 3902, 676, 606, 3606, 476, 1015, 9077, 865, 649, 723, 547, 1265, 476, 1015, 260, 540, 1269, 1626, 281, 476, 271, 269, 272, 265, 1626, 815, 476, 272, 269, 2568, 7053, 267, 649, 1590, 10208, 713, 689, 938, 9042, 3902, 540, 259, 1626, 1384, 259, 1626, 268, 272, 269, 277, 815, 259, 1691, 269, 2412, 692, 2162, 7151, 7726, 1948, 1428, 2433, 1215, 1677, 4855, 634, 22312, 12313, 692, 288, 8258, 3790, 1547, 1109, 898, 568, 1287, 6825, 909, 1109, 269, 1109, 1548, 568, 519, 1699, 3902, 286, 0, 271, 692, 258, 6496, 606, 568, 30801, 6906, 2141, 723, 1614, 21412, 7285, 2496, 24993, 281, 476, 275, 270, 2764, 270, 1708, 273, 692, 310, 5942, 14871, 692, 1724, 344, 3516, 692, 3674, 30801, 12730, 2356, 723, 1079, 21412, 5011, 267, 855, 519, 4341, 568, 602, 789, 2965, 723, 693, 2547, 1079, 269, 2334, 1797, 602, 789, 666, 849, 723, 513, 3791, 21412, 2427, 269, 2334, 1797, 789, 616, 1312, 31164, 543, 568, 30801, 24682, 799, 594, 13948, 1589, 568, 1259, 1932, 14845, 267, 855, 602, 781, 875, 621, 1568, 780, 7078, 281, 589, 6906, 814, 7285, 540, 476, 2568, 5232, 267, 476, 2568, 5232, 267, 543, 476, 2568, 5232, 269, 898, 568, 1312, 568, 30801, 543, 31164, 780, 265, 296, 1589, 602, 31164, 12730, 616, 2965, 513, 1826, 540, 568, 30801, 6906, 267, 865, 602, 952, 596, 2811, 4280, 593, 513, 2979, 1449, 267, 585, 1383, 267, 2436, 513, 6906, 568, 9470, 2940, 267, 568, 30801, 267, 610, 31164, 267, 596, 9364, 2161, 31164, 780, 5591, 267, 1772, 30801, 568, 1079, 3160, 5011, 267, 4352, 606, 31164, 6906, 27114, 581, 606, 568, 30801, 6906, 269, 1656, 27449, 540, 606, 568, 30801, 6906, 616, 711, 1634, 630, 326, 1508, 264, 910, 3274, 1079, 3160, 5011, 563, 16248, 267, 899, 1169, 824, 6906, 780, 310, 5942, 14871, 692, 1724, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 6496, 606, 568, 30801, 6906, 2141, 723, 1614, 21412, 7285, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 2162, 1323, 5086, 711, 21412, 547, 519, 3490, 7285, 540, 606, 568, 30801, 6906, 2496, 763, 3490, 7285, 540, 606, 568, 30801, 6906, 616, 21412, 269, 634, 14584, 5086, 540, 606, 568, 30801, 6906, 568, 711, 8209, 21412, 547, 519, 3490, 7285, 780, 2162, 1772, 513, 6906, 609, 1079, 21412, 7285, 2141, 513, 476, 3393, 268, 3393, 268, 3445, 6906, 2496, 5591, 1317, 606, 568, 30801, 6906, 814, 1585, 1079, 21412, 7285, 269, 589, 476, 3393, 268, 3393, 268, 3445, 6906, 568, 20248, 606, 568, 30801, 6906, 780, 2162, 3502, 1079, 7285, 1369, 606, 568, 30801, 6906, 616, 21412, 2496, 2252, 621, 3085, 1405, 723, 21412, 7285, 267, 621, 781, 711, 606, 568, 30801, 6906, 780, 2162, 3657, 12476, 7285, 540, 606, 568, 30801, 6906, 616, 21412, 2496, 8133, 267, 519, 3490, 7285, 540, 606, 568, 30801, 6906, 616, 2141, 21412, 269, 1323, 568, 30801, 6906, 4122, 814, 1079, 5011, 602, 616, 3160, 538, 3259, 269, 634, 3490, 7285, 616, 519, 7285, 6587, 1346, 1079, 3160, 5011, 540, 519, 6906, 269, 589, 12166, 11532, 2829, 602, 952, 1079, 5011, 540, 513, 6906, 616, 21412, 267, 1287, 519, 7285, 6587, 1346, 5011, 616, 21412, 269, 634, 598, 2091, 568, 849, 3020, 780, 2162, 769, 606, 568, 30801, 6906, 519, 3490, 7285, 616, 2496, 763, 3490, 7285, 540, 606, 568, 30801, 6906, 616, 21412, 780, 2162, 1403, 519, 3490, 7285, 540, 513, 6906, 616, 21412, 1287, 519, 6906, 568, 568, 30801, 2496, 2005, 786, 581, 2901, 568, 30801, 610, 31164, 269, 898, 568, 31164, 952, 782, 540, 519, 7285, 616, 21412, 780, 2162, 6496, 513, 9470, 2940, 6906, 723, 21412, 7285, 2496, 5591, 267, 1323, 31164, 6906, 814, 476, 274, 21412, 7285, 267, 606, 568, 30801, 6906, 814, 476, 273, 21412, 7285, 267, 513, 9470, 2940, 6906, 814, 1100, 21412, 7285, 780, 2162, 6904, 3948, 827, 519, 3490, 7285, 540, 606, 568, 30801, 6906, 568, 3020, 2496, 763, 3490, 7285, 616, 2141, 21412, 780, 2162, 1772, 519, 568, 30801, 6906, 519, 1152, 6906, 609, 21412, 5011, 543, 7285, 2496, 1103, 606, 568, 30801, 6906, 476, 273, 5011, 616, 21412, 543, 476, 273, 7285, 616, 21412, 269, 769, 606, 31164, 6906, 782, 476, 274, 5011, 616, 21412, 543, 782, 476, 274, 7285, 616, 21412, 849, 780, 2162, 1548, 568, 519, 1772, 30801, 21121, 14497, 538, 16387, 2496, 763, 1772, 30801, 21121, 14497, 281, 2252, 1079, 5011, 540, 513, 6906, 616, 21412, 267, 1287, 519, 7285, 6587, 519, 5011, 616, 21412, 7868, 1230, 2091, 540, 1772, 30801, 21121, 14497, 281, 2252, 1079, 7285, 540, 513, 6906, 616, 21412, 267, 1287, 519, 5011, 6587, 1346, 7285, 616, 21412, 780, 2162, 2052, 513, 9470, 2940, 6906, 723, 1079, 21412, 7285, 2496, 7224, 1317, 952, 606, 9470, 2940, 6906, 1185, 476, 273, 21412, 7285, 621, 9327, 1405, 581, 513, 9470, 2940, 621, 1131, 581, 513, 568, 30801, 6906, 1317, 606, 568, 30801, 6906, 568, 519, 1152, 6906, 609, 476, 273, 21412, 7285, 692, 2162, 1548, 6906, 568, 4646, 609, 1614, 5011, 540, 1114, 13080, 2496, 288, 9470, 2940, 6906, 269, 769, 513, 9470, 2940, 6906, 267, 972, 616, 1100, 21412, 5011, 610, 7285, 269, 769, 606, 568, 30801, 6906, 267, 693, 2547, 1079, 21412, 5011, 543, 7285, 269, 769, 606, 31164, 6906, 267, 782, 1614, 5011, 543, 7285, 616, 21412, 267, 609, 7285, 602, 2141, 2268, 24239, 5232, 269, 8074, 281, 606, 31164, 6906, 849, 1362, 5809, 607, 606, 568, 30801, 6906, 267, 607, 621, 10742, 519, 4214, 540, 606, 568, 30801, 6906, 5018, 1657, 269, 0, 11377, 7528, 790, 26231, 30327, 15732, 258, 476, 279, 269, 273, 281, 17148, 585, 4982, 10329, 692, 14048, 6859, 692, 1892, 10576, 519, 1101, 2783, 540, 11466, 692, 2162, 3689, 16448, 540, 4982, 10329, 692, 2690, 606, 1843, 547, 581, 538, 11466, 267, 621, 1590, 581, 7680, 1100, 10231, 269, 901, 1797, 602, 1312, 519, 2121, 3196, 543, 519, 2121, 18165, 593, 519, 1843, 1590, 581, 4642, 269, 3371, 649, 786, 1865, 519, 1101, 2783, 267, 602, 540, 4642, 2121, 3196, 780, 1103, 519, 1106, 540, 606, 3830, 267, 713, 1101, 2783, 568, 1384, 11377, 9507, 346, 293, 3709, 6339, 13157, 271, 269, 15732, 1103, 1931, 547, 3035, 713, 7873, 527, 517, 267, 519, 4229, 9117, 2059, 1142, 7852, 540, 5163, 1590, 2040, 547, 4642, 269, 1280, 1383, 267, 519, 2121, 5007, 4229, 2059, 519, 6093, 1535, 1700, 543, 586, 268, 31320, 616, 4642, 269, 901, 568, 2854, 607, 692, 11377, 9507, 346, 6339, 31046, 674, 13448, 284, 271, 6525, 543, 6695, 9507, 346, 6339, 31046, 674, 14729, 284, 271, 6525, 780, 763, 2783, 6695, 9507, 346, 293, 3709, 6339, 13157, 271, 6525, 1590, 581, 3020, 585, 1312, 11979, 11466, 267, 1141, 519, 1843, 779, 6991, 568, 4642, 267, 543, 6422, 11466, 267, 1141, 519, 1843, 568, 3001, 693, 513, 3586, 6991, 780, 19350, 267, 519, 5163, 1652, 1268, 568, 538, 11979, 11466, 269, 634, 4229, 9117, 593, 1864, 1039, 909, 547, 4642, 269, 5637, 4229, 616, 7299, 538, 713, 2013, 780, 31094, 538, 853, 1738, 4982, 10329, 281, 901, 5163, 1652, 1268, 568, 538, 11979, 11466, 780, 19350, 267, 519, 1286, 568, 538, 6422, 11466, 1317, 621, 568, 3001, 693, 3586, 6991, 269, 1703, 616, 8880, 543, 7299, 4229, 267, 855, 519, 2121, 5007, 3196, 538, 1022, 4287, 568, 4642, 269, 634, 4294, 3196, 1063, 519, 18646, 543, 519, 4155, 568, 7059, 676, 2011, 11508, 267, 543, 519, 2597, 540, 519, 1286, 568, 6462, 676, 519, 3339, 4229, 267, 1934, 3254, 547, 581, 3160, 585, 782, 2185, 18646, 780, 288, 2961, 538, 25674, 4982, 10329, 281, 901, 1286, 568, 538, 6422, 11466, 1317, 621, 568, 3001, 693, 3586, 6991, 269, 634, 4229, 538, 782, 8846, 616, 7059, 780, 1012, 5822, 16448, 692, 763, 2034, 2783, 540, 11979, 11466, 3081, 602, 519, 2121, 18165, 9117, 593, 519, 1843, 1590, 581, 4642, 780, 14048, 6859, 692, 1892, 10576, 519, 2034, 2783, 540, 11979, 11466, 692, 288, 1126, 779, 12034, 1177, 267, 3254, 538, 267, 568, 606, 1383, 540, 11979, 11466, 269, 1323, 1843, 538, 11979, 11466, 568, 835, 602, 814, 1100, 10231, 538, 1022, 4287, 269, 2755, 972, 1522, 581, 5163, 267, 971, 5163, 568, 3586, 780, 10521, 1453, 593, 513, 12034, 1177, 281, 634, 1062, 568, 538, 11979, 11466, 267, 6029, 1100, 10231, 538, 1022, 4287, 780, 2252, 513, 2016, 1843, 568, 538, 11979, 11466, 267, 1312, 519, 2121, 3196, 543, 519, 2121, 18165, 593, 519, 1843, 1590, 581, 4642, 269, 2913, 779, 2736, 713, 1524, 1384, 2162, 4880, 10414, 18771, 2142, 20023, 692, 763, 2121, 3196, 9117, 593, 519, 1843, 1590, 581, 4642, 269, 4475, 782, 4229, 3666, 538, 1142, 4287, 269, 1280, 1383, 267, 513, 1286, 3001, 2059, 513, 19814, 693, 513, 3586, 3432, 568, 538, 11466, 267, 607, 621, 568, 711, 23960, 538, 1022, 4464, 610, 7299, 4287, 269, 7527, 1227, 267, 713, 568, 7150, 607, 6695, 9507, 346, 293, 3709, 6339, 348, 815, 12103, 815, 476, 271, 6525, 780, 2162, 4880, 8776, 4302, 18771, 2142, 20023, 692, 763, 2034, 2783, 2556, 547, 3035, 11466, 3322, 9319, 18965, 10047, 630, 10852, 8877, 513, 3586, 16070, 6991, 15426, 589, 15914, 1560, 610, 1062, 666, 581, 538, 11466, 952, 922, 2557, 540, 10047, 568, 3586, 543, 3788, 24240, 676, 519, 4229, 9117, 593, 621, 780, 2414, 1174, 1018, 2188, 1860, 10047, 267, 1577, 721, 1589, 827, 1018, 4523, 950, 596, 1930, 606, 8723, 7450, 676, 15914, 621, 593, 922, 31963, 7868, 9588, 267, 4287, 267, 543, 1448, 540, 3498, 540, 519, 3196, 616, 11368, 883, 519, 4214, 540, 519, 2168, 7274, 1572, 18165, 9789, 24364, 6697, 540, 513, 3196, 269, 898, 568, 513, 2268, 540, 519, 7145, 540, 513, 3196, 538, 4657, 610, 23960, 513, 10047, 630, 577, 4474, 519, 16070, 6991, 936, 513, 1974, 540, 942, 6393, 1103, 3830, 1106, 267, 519, 9588, 540, 18165, 568, 3989, 547, 581, 6695, 9507, 346, 16483, 284, 337, 293, 1422, 7562, 16564, 6525, 1141, 26018, 630, 1492, 5259, 4484, 512, 879, 264, 568, 519, 3090, 585, 18165, 267, 678, 568, 519, 3845, 689, 519, 22141, 1448, 547, 519, 1448, 1141, 519, 3196, 568, 4294, 267, 674, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11046, 267, 609, 1079, 16247, 8444, 7923, 547, 621, 269, 3962, 16247, 11046, 814, 1079, 19157, 8424, 267, 543, 519, 31093, 11046, 814, 835, 19157, 6292, 563, 3674, 1530, 302, 273, 513, 8701, 11140, 888, 763, 18546, 821, 326, 18356, 1871, 540, 31093, 568, 476, 273, 269, 4649, 543, 602, 540, 5135, 568, 476, 274, 269, 4510, 6466, 741, 3017, 568, 476, 271, 269, 8660, 269, 1306, 519, 18546, 821, 326, 18356, 3017, 568, 811, 982, 476, 271, 269, 276, 267, 31093, 8166, 568, 8701, 538, 2470, 563, 1692, 1082, 7554, 616, 1459, 538, 1530, 302, 273, 888, 299, 1168, 529, 2497, 540, 1530, 302, 273, 630, 528, 17286, 22431, 8166, 264, 3568, 1079, 5595, 7554, 1063, 519, 17286, 22431, 630, 5353, 264, 11046, 543, 1142, 27488, 630, 302, 264, 11046, 269, 634, 17286, 22431, 11046, 630, 5353, 264, 568, 693, 519, 4099, 543, 621, 568, 11303, 676, 476, 273, 27488, 8444, 630, 302, 1040, 634, 17286, 22431, 11046, 814, 476, 272, 19157, 6292, 543, 1312, 519, 27488, 8444, 723, 476, 273, 19157, 8424, 563, 1432, 568, 519, 11066, 2497, 540, 1530, 302, 274, 888, 6097, 547, 966, 306, 7968, 305, 3069, 543, 10316, 1436, 540, 519, 11140, 267, 519, 9511, 543, 3337, 616, 4645, 4689, 1544, 541, 269, 9747, 519, 1530, 302, 274, 682, 342, 529, 2497, 568, 4645, 4689, 1544, 541, 538, 3337, 609, 513, 6125, 5086, 540, 476, 6344, 5232, 563, 3963, 568, 14298, 273, 513, 16982, 2497, 888, 2171, 7363, 2322, 519, 2547, 18546, 821, 326, 894, 3693, 538, 519, 4099, 865, 16247, 2306, 2631, 972, 649, 723, 5415, 454, 9989, 14298, 273, 723, 16982, 3889, 888, 12569, 273, 814, 513, 16982, 2497, 543, 3884, 1406, 18385, 27433, 563, 3674, 14298, 273, 513, 11066, 2497, 888, 2080, 779, 513, 16866, 4542, 547, 5173, 519, 6101, 5279, 621, 779, 3160, 547, 519, 1297, 540, 32447, 5415, 454, 1692, 798, 596, 2328, 519, 11066, 3090, 888, 7072, 269, 589, 11066, 13507, 568, 9112, 676, 11093, 15956, 8204, 9211, 538, 519, 9018, 1648, 1472, 519, 3090, 585, 519, 3693, 269, 1280, 1082, 1455, 2609, 267, 519, 1297, 540, 15956, 14687, 547, 519, 3693, 779, 1895, 1297, 269, 12989, 616, 11066, 29062, 585, 1585, 2609, 563, 1432, 568, 513, 2582, 11066, 2497, 888, 1103, 519, 11066, 2203, 267, 513, 2582, 3838, 6292, 540, 9211, 568, 513, 2582, 6125, 269, 3962, 1849, 11046, 25998, 609, 5216, 32447, 9211, 2698, 281, 519, 3670, 538, 519, 19157, 8424, 543, 519, 1079, 538, 519, 2582, 6125, 563, 1692, 1082, 15956, 616, 538, 513, 11066, 2497, 888, 763, 1297, 540, 15956, 11224, 519, 1297, 540, 32447, 9211, 538, 519, 11046, 269, 1452, 15956, 616, 11231, 547, 519, 1318, 543, 2451, 543, 1657, 543, 2630, 519, 3090, 267, 609, 1100, 811, 982, 1079, 15956, 593, 513, 2427, 269, 630, 2005, 1281, 711, 2339, 1018, 1931, 519, 7158, 616, 1031, 8094, 1432, 568, 519, 3337, 540, 2910, 888, 299, 1168, 529, 23113, 543, 519, 25609, 540, 631, 26163, 454, 275, 269, 670, 274, 302, 266, 4645, 4689, 13470, 10537, 454, 276, 269, 31125, 301, 5276, 454, 277, 269, 2910, 273, 5276, 454, 278, 269, 595, 5141, 275, 25543, 14366, 454, 1626, 811, 9343, 454, 1432, 568, 519, 19157, 6292, 540, 2910, 888, 27793, 3933, 6448, 568, 513, 1019, 30061, 11140, 2348, 4557, 32447, 9211, 269, 12539, 543, 27488, 8444, 1106, 17784, 7554, 547, 2347, 741, 12354, 1115, 269, 5637, 891, 8444, 723, 835, 19157, 6292, 540, 9211, 543, 838, 10316, 1436, 269, 12539, 3933, 6448, 814, 513, 5276, 7636, 9511, 269, 0, 310, 792, 762, 19777, 839, 832, 543, 5841, 4987, 630, 9590, 264, 1404, 513, 1713, 1909, 538, 30507, 3782, 676, 7175, 6024, 5464, 267, 2038, 2068, 7020, 267, 10531, 2126, 267, 543, 4824, 3461, 4093, 269, 3371, 779, 606, 7650, 540, 519, 1909, 540, 28707, 19777, 839, 832, 543, 3642, 538, 3782, 912, 268, 23120, 16424, 281, 23203, 762, 19777, 839, 832, 616, 9280, 609, 1585, 8596, 602, 666, 11179, 6895, 4105, 4191, 543, 1072, 6724, 267, 971, 607, 2295, 2557, 267, 1973, 2604, 267, 1973, 7280, 2157, 267, 1560, 2837, 267, 543, 811, 269, 901, 6024, 1239, 4015, 2488, 513, 3102, 2070, 540, 606, 1367, 779, 1072, 4567, 563, 268, 22647, 21111, 16424, 281, 23203, 762, 19777, 839, 832, 5512, 6552, 5464, 540, 2550, 267, 3226, 1346, 609, 5312, 2175, 269, 16195, 7426, 666, 3950, 2550, 685, 1072, 538, 1483, 6066, 267, 3850, 585, 12905, 7459, 543, 4227, 6413, 23504, 563, 268, 7216, 8376, 24544, 281, 1452, 19777, 839, 832, 666, 3713, 2038, 4191, 540, 1072, 2152, 610, 2242, 538, 1072, 3270, 267, 3850, 585, 2038, 7020, 540, 3676, 899, 3987, 267, 2295, 2175, 267, 543, 3207, 4713, 269, 7216, 7020, 666, 3648, 2087, 2126, 4093, 543, 2569, 3782, 3790, 563, 268, 2657, 543, 24524, 31524, 281, 23203, 762, 19777, 839, 832, 948, 2043, 3950, 741, 2168, 2534, 267, 3207, 3270, 267, 2566, 2157, 267, 543, 2949, 8516, 269, 901, 1239, 666, 581, 8246, 547, 5000, 8902, 19824, 543, 1118, 5483, 3664, 827, 2732, 267, 3635, 267, 543, 2566, 2359, 563, 25369, 11106, 630, 9590, 264, 538, 16195, 912, 268, 4578, 5811, 543, 23694, 23779, 281, 3642, 6620, 666, 5659, 519, 5318, 2179, 540, 1239, 6394, 676, 28707, 19777, 839, 832, 267, 2697, 3270, 267, 543, 3713, 22114, 269, 901, 2337, 538, 2038, 5868, 543, 12605, 540, 1761, 1072, 2152, 1759, 593, 519, 6394, 1239, 563, 268, 9608, 1242, 6925, 281, 3642, 666, 5659, 1367, 1072, 1239, 547, 2123, 1125, 2126, 4566, 543, 6527, 267, 17306, 3797, 585, 1142, 3461, 779, 2189, 2115, 269, 901, 3358, 1935, 666, 3986, 2126, 12117, 543, 7413, 2427, 2360, 563, 268, 11916, 17423, 8081, 281, 3642, 14617, 3375, 1489, 1949, 4217, 3782, 4648, 538, 1818, 5483, 3664, 676, 3246, 7840, 1759, 593, 9916, 1239, 269, 901, 666, 3986, 10368, 6111, 543, 2126, 4058, 563, 268, 21023, 633, 24630, 281, 3642, 666, 3589, 3461, 4093, 267, 2068, 11144, 267, 543, 6413, 1224, 332, 3827, 1759, 593, 3140, 1239, 269, 901, 2337, 538, 14942, 1416, 2359, 543, 4199, 14305, 563, 268, 17791, 25924, 543, 22647, 13693, 725, 281, 3642, 666, 7520, 5691, 29492, 543, 4217, 3782, 7426, 538, 23235, 543, 2857, 2056, 5574, 20716, 267, 2523, 538, 2127, 609, 3908, 1569, 547, 3782, 6703, 563, 268, 10684, 20570, 543, 4886, 281, 3642, 6620, 666, 5659, 6211, 543, 3114, 1239, 547, 17108, 3075, 6602, 3157, 267, 5732, 3056, 547, 5488, 1646, 540, 1007, 5061, 543, 11257, 563, 18204, 1674, 540, 23203, 762, 645, 3930, 839, 832, 543, 3642, 912, 763, 5610, 540, 28707, 19777, 839, 832, 609, 3642, 2636, 585, 1483, 6066, 2079, 540, 1072, 1239, 267, 7175, 12905, 7459, 543, 513, 811, 14942, 1935, 547, 3782, 269, 3642, 6620, 666, 1451, 689, 519, 6024, 6908, 540, 1239, 543, 1683, 10531, 4030, 543, 7840, 547, 1312, 2043, 543, 3782, 4648, 267, 6038, 5355, 3461, 1416, 543, 4093, 563, 310, 792, 762, 19777, 839, 832, 543, 3642, 1927, 723, 519, 1761, 547, 2981, 3782, 676, 3246, 10531, 267, 1239, 12454, 4030, 267, 7175, 2038, 7020, 543, 14942, 2359, 540, 1072, 2175, 267, 543, 6038, 7700, 547, 513, 811, 3608, 543, 2500, 3782, 1062, 269, 0, 23871, 6541, 568, 513, 8978, 4884, 4092, 538, 27076, 6019, 267, 7147, 269, 4706, 1686, 7389, 1394, 547, 519, 2038, 476, 866, 628, 2540, 950, 621, 729, 8547, 607, 513, 5757, 4884, 2059, 519, 27076, 5211, 563, 763, 4884, 5129, 513, 1713, 1909, 538, 519, 1646, 540, 519, 3148, 269, 898, 6039, 607, 513, 6283, 13398, 267, 14123, 4123, 543, 16450, 998, 5757, 6283, 269, 6008, 14781, 1846, 941, 513, 1455, 8289, 2059, 519, 27076, 5211, 267, 8876, 5370, 543, 1004, 547, 543, 689, 27076, 563, 23871, 6541, 8057, 607, 513, 4099, 585, 6683, 267, 16025, 267, 543, 2872, 269, 29158, 24914, 25577, 538, 519, 1858, 267, 543, 519, 4884, 2968, 513, 9467, 2022, 585, 6694, 2472, 269, 634, 16025, 2872, 849, 1630, 15701, 267, 609, 4718, 332, 1571, 7700, 547, 519, 2804, 2208, 540, 519, 4884, 563, 23208, 17421, 540, 27076, 454, 9213, 267, 27076, 568, 513, 23406, 2146, 602, 10905, 922, 3140, 5072, 609, 2413, 29319, 269, 634, 4884, 3091, 513, 12560, 543, 22205, 5790, 585, 7264, 543, 8436, 7567, 563, 763, 27076, 5211, 5170, 547, 581, 513, 17122, 1448, 540, 519, 4884, 781, 3961, 269, 898, 2488, 3255, 585, 9205, 2238, 971, 607, 10068, 267, 1630, 908, 267, 543, 31614, 1136, 269, 27076, 568, 849, 11303, 676, 2067, 5898, 267, 609, 7404, 7733, 543, 11614, 602, 4482, 2470, 12439, 543, 554, 1731, 619, 563, 763, 4884, 2934, 513, 3575, 540, 3140, 5656, 267, 15945, 267, 543, 2199, 4213, 269, 27076, 3217, 11348, 538, 922, 2631, 540, 2146, 543, 14747, 1585, 2621, 543, 15976, 2429, 519, 1032, 267, 8744, 7264, 1927, 547, 8661, 543, 1921, 563, 303, 6974, 6377, 17421, 540, 27076, 454, 763, 2104, 540, 27076, 568, 5059, 593, 4264, 2208, 267, 2804, 1646, 267, 543, 8497, 922, 2067, 10450, 269, 634, 4884, 6663, 547, 10880, 513, 3666, 1063, 3356, 543, 4509, 922, 1507, 2389, 1144, 19259, 563, 292, 742, 2176, 616, 1373, 1500, 547, 4482, 1007, 4213, 267, 3895, 9235, 267, 543, 3986, 16351, 3255, 269, 27076, 26195, 2888, 513, 2104, 1141, 7264, 543, 8436, 666, 2972, 513, 1164, 2298, 540, 1272, 267, 1247, 849, 8497, 519, 4884, 781, 2189, 1915, 563, 3519, 1061, 3203, 540, 27076, 781, 8892, 0, 268, 23047, 6745, 16428, 8542, 534, 2889, 323, 5416, 267, 7852, 22561, 267, 546, 6943, 22561, 267, 856, 22561, 267, 1832, 323, 15501, 22561, 267, 9192, 15481, 22561, 264, 16482, 27987, 519, 1587, 540, 5044, 2609, 936, 513, 2016, 7852, 8156, 3502, 513, 10606, 630, 27845, 28213, 264, 607, 3283, 563, 3080, 568, 8120, 585, 21100, 602, 616, 782, 9539, 320, 301, 610, 8900, 563, 320, 630, 6783, 318, 3697, 264, 1107, 32150, 5627, 2338, 4171, 1587, 568, 5551, 269, 1403, 513, 568, 711, 606, 21723, 267, 513, 7503, 568, 13986, 563, 9471, 630, 842, 267, 18593, 264, 1107, 31196, 2059, 799, 519, 1587, 568, 17223, 269, 634, 9949, 568, 547, 12337, 519, 1587, 540, 519, 24609, 539, 21723, 563, 323, 6943, 630, 11907, 15178, 267, 18593, 264, 1107, 634, 1826, 540, 519, 8120, 21723, 543, 540, 519, 7213, 15975, 538, 799, 519, 2609, 616, 2040, 4364, 269, 1635, 9949, 267, 519, 546, 6943, 540, 513, 568, 1031, 269, 1323, 9868, 568, 950, 513, 814, 606, 8870, 1826, 609, 1447, 8856, 982, 519, 3760, 630, 340, 264, 842, 335, 269, 769, 602, 2013, 267, 519, 9949, 786, 581, 2901, 630, 340, 264, 842, 3953, 610, 630, 340, 264, 842, 5038, 4470, 593, 2436, 519, 3760, 568, 476, 3953, 610, 476, 5038, 11353, 269, 1280, 538, 1410, 716, 11378, 267, 546, 6943, 1590, 581, 538, 1410, 716, 563, 719, 630, 307, 16428, 267, 18593, 264, 1107, 10201, 622, 3977, 21723, 538, 799, 547, 1747, 519, 1267, 269, 634, 9949, 568, 454, 14085, 269, 1403, 3177, 267, 621, 1590, 723, 519, 1482, 3337, 607, 519, 4397, 3977, 267, 855, 519, 1826, 786, 581, 5641, 952, 2556, 269, 6423, 2703, 269, 18860, 684, 14369, 585, 3877, 269, 634, 16213, 540, 10878, 301, 547, 8870, 666, 6556, 6397, 2164, 563, 18141, 323, 15501, 630, 321, 944, 267, 18593, 264, 1107, 1403, 6936, 267, 519, 17887, 799, 616, 4389, 616, 2451, 538, 519, 1267, 607, 7516, 609, 2450, 835, 269, 2060, 713, 4781, 267, 519, 1267, 786, 13739, 7157, 1996, 519, 3312, 2855, 563, 18474, 710, 15481, 630, 842, 267, 18593, 264, 1107, 634, 1297, 540, 25098, 547, 9192, 563, 22974, 2889, 323, 1107, 589, 1007, 21723, 8066, 519, 1267, 568, 8120, 8259, 856, 568, 9138, 267, 538, 799, 2013, 621, 568, 8120, 563, 268, 17776, 1826, 454, 29410, 2066, 5044, 9070, 908, 10878, 28213, 563, 17004, 799, 2609, 616, 10878, 301, 563, 24257, 1104, 23047, 6745, 16428, 607, 544, 339, 454, 24257, 544, 339, 8542, 534, 2889, 323, 263, 272, 1040, 1410, 31146, 3890, 476, 272, 21188, 544, 339, 8542, 534, 2889, 323, 14061, 1410, 31146, 3890, 476, 272, 21188, 544, 339, 8542, 534, 2889, 323, 8443, 272, 267, 544, 339, 8542, 534, 316, 1040, 1410, 31146, 3890, 476, 272, 269, 271, 21188, 513, 815, 544, 339, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 544, 339, 8542, 534, 316, 8079, 21188, 544, 339, 8542, 534, 2889, 323, 5416, 1040, 1410, 31146, 3890, 476, 277, 269, 271, 21188, 544, 339, 8542, 534, 2889 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1702, 610, 1983, 267, 621, 568, 2760, 2009, 547, 4865, 513, 4222, 1510, 519, 1270, 15363, 13007, 563, 763, 1883, 547, 2679, 513, 536, 7431, 535, 728, 4222, 568, 547, 2697, 707, 8789, 15421, 543, 1287, 13217, 873, 609, 1702, 543, 1983, 269, 2290, 991, 711, 723, 4222, 538, 1169, 2460, 540, 513, 1909, 538, 1931, 547, 14133, 538, 602, 1909, 563, 6546, 5140, 22407, 1590, 581, 1134, 17031, 568, 513, 24245, 7242, 269, 20056, 550, 22407, 616, 10355, 1134, 17031, 282, 593, 519, 14669, 267, 789, 616, 8325, 563, 2750, 3250, 550, 22407, 1265, 2081, 547, 4383, 1472, 741, 12755, 267, 1863, 532, 873, 547, 24917, 741, 9342, 547, 513, 5857, 704, 1448, 269, 20056, 550, 22407, 798, 711, 11716, 741, 12755, 282, 789, 960, 593, 873, 1175, 2614, 865, 602, 789, 798, 711, 24183, 9342, 563, 20685, 923, 31044, 5718, 3340, 7881, 269, 15979, 11226, 3401, 538, 13326, 5168, 543, 14017, 267, 2043, 543, 2950, 267, 2110, 3856, 543, 1279, 3856, 267, 543, 5126, 5288, 269, 15979, 568, 711, 606, 26912, 1637, 610, 513, 14207, 563, 2005, 568, 513, 1184, 543, 513, 7828, 676, 799, 3401, 1935, 513, 1966, 3510, 269, 15979, 1289, 593, 721, 547, 581, 31717, 267, 2943, 7722, 563, 2005, 568, 519, 22315, 676, 799, 3401, 6330, 711, 1152, 1318, 5288, 269, 9442, 9442, 568, 513, 1907, 585, 2043, 547, 8818, 609, 835, 1776, 267, 609, 2516, 267, 543, 609, 519, 1964, 540, 519, 1158, 269, 898, 568, 711, 513, 1257, 267, 4757, 267, 6049, 1289, 267, 610, 2123, 3643, 281, 24285, 616, 2111, 547, 1847, 3564, 2792, 7496, 5920, 267, 6863, 267, 588, 13616, 267, 561, 7371, 267, 20020, 267, 3092, 543, 1445, 593, 519, 5048, 540, 519, 10584, 269, 6716, 9318, 2623, 513, 2361, 540, 1353, 602, 27180, 519, 1764, 602, 2043, 267, 2516, 267, 543, 2497, 723, 593, 2623, 1369, 3906, 267, 585, 519, 3483, 540, 7311, 971, 1702, 4724, 5355, 606, 3919, 781, 7145, 563, 6716, 9318, 2623, 6212, 593, 519, 1004, 781, 2427, 540, 519, 1870, 3830, 269, 1656, 538, 713, 4137, 267, 649, 17412, 1175, 513, 1906, 540, 519, 1883, 2055, 543, 2035, 540, 713, 30832, 1782, 2361, 563, 16391, 1436, 10263, 543, 922, 6206, 16610, 1677, 1174, 10721, 2623, 596, 1590, 1174, 922, 1883, 2035, 543, 16166, 563, 16391, 9318, 2623, 968, 529, 513, 23499, 2361, 13991, 547, 1620, 1367, 543, 1895, 2623, 267, 14375, 3157, 543, 10721, 6384, 1848, 630, 306, 7815, 1067, 1817, 333, 267, 533, 269, 11512, 519, 2596, 1523, 540, 10721, 2623, 543, 1946, 621, 568, 1271, 547, 3906, 563, 26368, 519, 3140, 5072, 543, 2101, 8965, 2257, 10459, 602, 3565, 547, 10721, 2623, 269, 14674, 519, 1909, 540, 2359, 538, 10721, 2623, 269, 31044, 10263, 281, 6206, 16610, 267, 10341, 1299, 7454, 13756, 281, 6206, 16610, 267, 10341, 543, 7454, 13756, 563, 2750, 13630, 569, 26940, 948, 585, 31044, 10263, 281, 6206, 16610, 267, 10341, 1299, 7454, 13756, 281, 6206, 16610, 267, 10341, 543, 7454, 13756, 269, 9578, 2653, 3562, 268, 16187, 3435, 2854, 676, 4966, 585, 5215, 540, 1547, 898, 3091, 3407, 513, 3532, 1907, 7901, 1927, 609, 2665, 543, 4245, 2066, 782, 2101, 3252, 540, 1870, 267, 2359, 267, 689, 8804, 267, 4238, 2359, 267, 543, 6725, 547, 1480, 4199, 2359, 267, 10721, 2623, 267, 7194, 267, 543, 267, 540, 1576, 267, 1870, 4640, 269, 0, 2304, 24803, 568, 519, 2262, 602, 3357, 547, 938, 3742, 8675, 689, 3504, 10255, 543, 12777, 18575, 910, 519, 3668, 540, 513, 20882, 547, 3548, 269, 769, 4915, 267, 1210, 519, 2165, 30604, 267, 1797, 513, 6794, 6353, 676, 513, 6857, 30671, 540, 1426, 267, 513, 12675, 3668, 540, 14031, 543, 519, 14897, 766, 540, 519, 2596, 15859, 910, 14000, 563, 281, 10780, 21268, 8563, 4138, 10948, 20265, 9326, 18194, 20046, 4736, 18547, 9326, 25602, 21170, 16417, 7549, 4736, 4138, 9326, 267, 10780, 4736, 4138, 17153, 4138, 10948, 27799, 18547, 9326, 25602, 21170, 16417, 7549, 4736, 4138, 9326, 267, 10780, 4736, 4138, 17153, 4138, 10948, 27799, 18547, 9326, 25338, 17201, 3264, 13194, 4709, 12811, 20265, 9326, 25602, 21170, 16417, 7549, 4736, 4138, 9326, 267, 14359, 21268, 8563, 20265, 9326, 25602, 21170, 16417, 7549, 4736, 4138, 9326, 267, 2843, 375, 3264, 18547, 4814, 13150, 8563, 12811, 20265, 9326, 25602, 21170, 16417, 7549, 4736, 4138, 9326, 9537, 540, 30604, 2433, 3119, 1453, 781, 30604, 267, 2790, 30604, 267, 2790, 11213, 30604, 267, 30604, 6179, 6242, 267, 3075, 30604, 454, 27246, 540, 30604, 454, 763, 3123, 540, 713, 2068, 616, 1114, 281, 2921, 2564, 543, 16909, 5061, 602, 2569, 14031, 282, 3586, 6981, 540, 1019, 675, 9455, 282, 606, 11248, 5821, 538, 519, 10307, 282, 6857, 6981, 540, 561, 1314, 2510, 585, 2550, 454, 268, 513, 8325, 6175, 538, 2597, 543, 3668, 540, 14031, 630, 514, 519, 15730, 1974, 28955, 676, 519, 17418, 547, 2744, 2597, 1282, 3742, 2208, 994, 268, 4965, 267, 20026, 543, 2042, 1644, 547, 3207, 454, 268, 838, 553, 7116, 545, 1928, 538, 519, 6091, 267, 2855, 15219, 8926, 540, 519, 2295, 454, 268, 1533, 540, 18163, 4411, 543, 8467, 454, 268, 25012, 4524, 540, 519, 1560, 630, 29546, 27695, 538, 2021, 267, 543, 5391, 18480, 538, 2367, 994, 268, 27690, 4250, 540, 519, 3461, 1354, 519, 4316, 547, 1332, 3170, 547, 8377, 543, 519, 14849, 991, 547, 2569, 2597, 454, 268, 1323, 24803, 24412, 20912, 741, 1966, 2404, 609, 513, 8325, 2597, 2530, 454, 268, 2799, 7287, 540, 519, 3461, 547, 6336, 2597, 543, 585, 713, 2601, 513, 20982, 30671, 547, 3548, 454, 268, 519, 3461, 781, 24235, 602, 646, 568, 23494, 2407, 543, 2115, 547, 6336, 2597, 454, 268, 513, 18670, 538, 4189, 6208, 630, 324, 908, 593, 519, 979, 267, 4227, 13980, 543, 12270, 883, 2694, 994, 268, 1310, 6980, 519, 3461, 31567, 28901, 13481, 454, 268, 2799, 15131, 585, 27590, 2880, 5751, 2394, 25874, 454, 268, 11234, 7664, 540, 835, 781, 1378, 1560, 630, 26051, 8226, 540, 519, 1560, 1281, 711, 5330, 547, 519, 1483, 2597, 994, 268, 2799, 1719, 538, 5986, 543, 10655, 10346, 267, 5986, 8286, 585, 519, 1920, 543, 513, 21800, 30671, 547, 7119, 538, 6980, 267, 1719, 538, 11326, 2073, 13170, 540, 20757, 1143, 454, 268, 30671, 540, 2527, 608, 1080, 547, 519, 1158, 543, 14812, 2404, 609, 519, 21649, 454, 268, 2792, 609, 14077, 568, 31965, 454, 268, 2789, 11564, 543, 694, 2424, 538, 519, 19880, 585, 513, 1279, 942, 454, 268, 24046, 856, 6361, 25571, 5026, 2238, 454, 335, 718, 528, 540, 519, 2960, 454, 268, 16698, 267, 11389, 32208, 29405, 267, 7432, 883, 14699, 267, 10845, 543, 18354, 454, 268, 513, 7988, 332, 6973, 2684, 11131, 630, 19960, 2435, 10206, 540, 922, 2407, 1145, 267, 799, 3366, 547, 4606, 593, 713, 2339, 267, 4250, 540, 1373, 28457, 539, 585, 713, 2601, 676, 14077, 543, 1004, 689, 741, 1604, 267, 3586, 20604, 267, 19591, 1533, 267, 30671, 547, 3548, 1164, 23343, 12929, 3536, 994, 268, 7988, 332, 6973, 545, 630, 17641, 6015, 538, 922, 2407, 1145, 543, 991, 547, 6336, 2597, 267, 15752, 585, 9561, 2597, 1360, 3978, 543, 3742, 6612, 585, 606, 648, 13877, 2550, 609, 5728, 27781, 267, 6704, 5458, 5666, 540, 5714, 543, 4929, 5841, 13481, 267, 13829, 593, 561, 1314, 2510, 543, 1019, 675, 9455, 994, 268, 21461, 8157, 630, 14814, 9000, 540, 14031, 267, 6175, 538, 23441, 23639, 543, 5920, 540, 519, 1101, 4191, 540, 30484, 15577, 2073, 2597, 2530, 676, 3368, 689, 519, 3355, 2597, 267, 16715, 540, 2604, 543, 1560, 2837, 267, 3500, 2295, 2557, 267, 12136, 540, 8819, 8539, 543, 824, 1644, 3676, 994, 763, 4539, 540, 30604, 616, 1419, 632, 680, 22789, 543, 8909, 267, 543, 1510, 519, 948, 540, 14077, 547, 2253, 2126, 540, 2550, 609, 30604, 568, 711, 10853, 269, 1323, 24803, 2550, 20912, 741, 1966, 543, 2068, 269, 1656, 1152, 609, 519, 7589, 540, 14077, 945, 2746, 539, 538, 942, 547, 2589, 543, 4191, 540, 30604, 267, 621, 568, 2009, 547, 2057, 13357, 538, 519, 1920, 269, 5375, 24004, 28748, 616, 3280, 532, 519, 15372, 267, 1317, 519, 4539, 540, 30604, 616, 9019, 950, 519, 2126, 568, 16053, 269, 1656, 606, 8956, 762, 1101, 1747, 1851, 7972, 585, 2790, 10108, 568, 8401, 30604, 269, 23582, 2090, 723, 3254, 602, 30604, 6179, 6242, 3322, 538, 922, 834, 6339, 1740, 257, 540, 476, 275, 2600, 540, 6690, 538, 519, 2085, 2039, 540, 24369, 547, 8938, 1296, 269, 9093, 616, 711, 4299, 676, 971, 4713, 267, 4352, 519, 2208, 540, 5256, 30604, 814, 5063, 1044, 8612, 269, 769, 18273, 267, 950, 519, 3390, 540, 5920, 568, 519, 1297, 835, 1966, 267, 621, 568, 1360, 1271, 711, 547, 4413, 707, 1126, 865, 602, 646, 1281, 711, 6443, 519, 16034, 540, 1346, 7092, 689, 30604, 269, 5901, 14156, 707, 1126, 267, 798, 711, 2539, 1010, 1582, 12635, 267, 798, 711, 10404, 1125, 519, 5920, 267, 2285, 909, 28974, 6898, 2509, 519, 8004, 267, 3247, 711, 2953, 6898, 827, 707, 1126, 547, 4896, 269, 901, 1259, 596, 666, 2061, 519, 5920, 540, 30604, 543, 1376, 8156, 621, 593, 942, 609, 519, 2556, 2589, 543, 4191, 563, 2252, 519, 8373, 20109, 707, 1920, 267, 1287, 5612, 2285, 909, 519, 1381, 540, 4189, 538, 519, 1920, 610, 519, 4636, 1935, 547, 6484, 269, 2060, 707, 1378, 1383, 267, 1397, 602, 596, 616, 711, 513, 1139, 7163, 540, 11326, 543, 2015, 3054, 547, 581, 19870, 269, 1280, 1326, 827, 707, 2042, 543, 4142, 6510, 3054, 547, 606, 606, 648, 13877, 3461, 269, 8307, 707, 1489, 267, 2648, 267, 2631, 540, 13766, 543, 8671, 269, 21989, 609, 30604, 4431, 1928, 2685, 547, 8292, 267, 865, 7340, 827, 23215, 1023, 267, 7142, 6484, 267, 29170, 14843, 543, 17229, 269, 5620, 9639, 543, 1702, 540, 707, 1966, 269, 3509, 1004, 616, 5461, 538, 519, 2243, 267, 855, 875, 547, 1521, 30604, 286, 769, 2564, 19190, 267, 3292, 6322, 693, 8156, 30604, 723, 1044, 3964, 267, 1141, 789, 786, 581, 19443, 543, 21235, 3318, 5626, 543, 2564, 6351, 269, 2991, 11166, 689, 519, 16758, 267, 596, 991, 547, 10929, 30229, 2126, 547, 4368, 543, 2597, 585, 3670, 3275, 269, 1403, 596, 798, 711, 1616, 547, 1857, 1125, 543, 2253, 2126, 585, 30604, 693, 1753, 267, 1287, 596, 991, 547, 6338, 7928, 27847, 6980, 267, 543, 1310, 6980, 4129, 542, 776, 3078, 2238, 538, 1931, 547, 2057, 13481, 540, 519, 3461, 269, 19693, 267, 1649, 5271, 565, 550, 267, 14455, 30679, 6681, 1852, 540, 519, 3461, 543, 14242, 540, 14031, 630, 1551, 1052, 1279, 6980, 609, 8819, 1258, 5669, 1642, 2074, 267, 799, 519, 3461, 1223, 711, 20912, 5128, 1354, 267, 6338, 1007, 18991, 2966, 8286, 883, 519, 32311, 267, 979, 547, 14060, 609, 513, 3099, 540, 32345, 267, 4283, 883, 519, 4356, 540, 3232, 15211, 264, 543, 1034, 11932, 910, 2285, 2648, 547, 513, 3461, 609, 30604, 269, 2422, 538, 707, 2126, 609, 513, 15028, 1699, 1505, 540, 8007, 630, 1492, 5551, 10516, 264, 543, 4228, 2123, 5191, 267, 855, 585, 513, 1279, 942, 1510, 15569, 540, 606, 606, 648, 13877, 3461, 798, 711, 4734, 269, 1403, 519, 3461, 31439, 547, 3548, 267, 13288, 547, 513, 3668, 540, 14031, 267, 2709, 5277, 1426, 630, 341, 13895, 9422, 23399, 1040, 16680, 519, 2179, 540, 15559, 543, 10729, 269, 901, 568, 1360, 1271, 585, 519, 16369, 540, 1216, 910, 23386, 6547, 538, 519, 1560, 269, 634, 6175, 538, 11379, 538, 519, 1560, 14122, 13487, 2042, 543, 519, 3668, 540, 11379, 538, 519, 1560, 568, 25579, 1639, 12499, 1597, 3585, 269, 10684, 3797, 2882, 519, 1739, 5061, 585, 519, 2126, 540, 30604, 281, 2166, 2889, 515, 696, 611, 710, 267, 8392, 335, 668, 8872, 267, 993, 527, 2815, 344, 1467, 267, 855, 14553, 2687, 547, 519, 4387, 781, 13310, 269, 3245, 12563, 4915, 267, 596, 1058, 2628, 24744, 547, 519, 12608, 1944, 11922, 543, 25695, 2371, 269, 15020, 3811, 786, 581, 741, 4999, 2687, 547, 6492, 267, 713, 281, 890, 653, 1069, 842, 267, 4737, 534, 4829, 267, 32175, 267, 2030, 664, 6978, 267, 512, 753, 344, 267, 7626, 1146, 334, 267, 21431, 6229, 10786, 267, 2121, 1479, 6978, 267, 586, 5535, 267, 3597, 540, 513, 10455, 563, 309, 1112, 15501, 540, 30604, 1310, 12675, 30674, 543, 15028, 2126, 616, 11630, 547, 24088, 540, 519, 2068, 269, 1656, 621, 568, 14909, 1282, 713, 1974, 689, 519, 2361, 540, 5075, 540, 519, 3461, 711, 547, 4413, 269, 15901, 730, 30674, 538, 713, 3510, 666, 581, 14284, 5393 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8601, 519, 1249, 602, 5616, 31919, 814, 1831, 4843, 1373, 606, 5690, 6322, 4724, 7303, 5769, 28417, 267, 621, 22992, 30211, 593, 838, 20632, 1394, 31904, 676, 12238, 3101, 519, 1608, 9200, 540, 519, 7270, 519, 6402, 616, 4947, 689, 269, 634, 476, 1001, 274, 5616, 9966, 2719, 12704, 9337, 7604, 1078, 606, 5690, 2087, 2813, 547, 7794, 5616, 781, 2067, 1893, 4393, 543, 23066, 1620, 540, 15750, 2572, 563, 8072, 269, 3571, 6791, 568, 17618, 17019, 543, 26518, 676, 1010, 9905, 267, 543, 1010, 1205, 519, 2816, 2944, 814, 1279, 1044, 11855, 543, 5950, 538, 1585, 1543, 4930, 543, 2835, 563, 763, 1292, 3406, 9817, 899, 586, 1695, 5622, 267, 585, 1383, 5616, 267, 29078, 543, 23968, 5622, 29755, 946, 17875, 6840, 547, 10625, 1357, 335, 1137, 585, 1010, 610, 1200, 5690, 545, 3406, 2164, 269, 5769, 3817, 799, 616, 8678, 689, 824, 4950, 3406, 2599, 4994, 539, 1357, 335, 1137, 798, 711, 991, 547, 581, 11643, 5631, 1317, 789, 616, 4767, 5612, 269, 634, 23968, 5622, 256, 30615, 543, 667, 19616, 313, 267, 1079, 1883, 1463, 1559, 799, 6806, 538, 476, 1001, 275, 543, 476, 1001, 278, 6606, 267, 1312, 540, 1346, 2556, 3391, 19169, 543, 1480, 21107, 6218, 563, 314, 1084, 6012, 706, 321, 1190, 1107, 1865, 316, 5680, 1543, 21527, 849, 26203, 930, 10305, 2429, 519, 14103, 2707, 540, 513, 3135, 1369, 606, 2119, 547, 7584, 1134, 538, 3406, 9817, 899, 24440, 269, 1635, 476, 1960, 278, 267, 4950, 3406, 2599, 9858, 6444, 602, 3135, 5411, 941, 1373, 6721, 3646, 547, 7584, 3927, 538, 741, 3406, 2599, 267, 543, 602, 930, 3135, 5411, 723, 1044, 1256, 22392, 741, 31213, 538, 3406, 2599, 2164, 676, 8631, 532, 1357, 335, 1137, 609, 1932, 1454, 610, 13061, 17161, 269, 7216, 1583, 1186, 267, 585, 3236, 16816, 822, 16695, 543, 5606, 846, 2131, 267, 12012, 741, 6620, 538, 1931, 547, 2149, 1996, 1357, 5733, 1562, 689, 22392, 31213, 16804, 13512, 10679, 2639, 26452, 2409, 666, 5818, 519, 23146, 540, 513, 2546, 1369, 519, 3406, 2164, 269, 9061, 16046, 538, 1063, 1357, 335, 1137, 540, 519, 3169, 1482, 5680, 2985, 547, 1683, 1454, 811, 1394, 31904, 547, 2027, 1357, 335, 1137, 949, 5310, 2333, 922, 15287, 16804, 3228, 344, 2185, 316, 14958, 532, 2854, 1543, 602, 2934, 4122, 22646, 1883, 2262, 8360, 267, 538, 1931, 547, 581, 3617, 547, 6266, 540, 1382, 14511, 786, 616, 20916, 547, 2333, 3135, 8436, 16804, 3228, 344, 2185, 316, 5455, 323, 908, 2854, 1543, 865, 607, 547, 3136, 547, 1832, 3406, 9817, 899, 24440, 543, 586, 1695, 5622, 17875, 1782, 1394, 1586, 2356, 666, 2285, 2417, 6550, 883, 513, 1357, 3135, 563, 1103, 476, 1960, 279, 267, 1079, 10927, 1053, 693, 18628, 2160, 267, 32632, 19534, 2985, 543, 5395, 613, 344, 5696, 514, 267, 19775, 834, 12988, 13041, 2580, 513, 2228, 3406, 2599, 602, 16941, 609, 513, 6310, 5690, 547, 2179, 519, 23146, 540, 15750, 2572, 269, 634, 1297, 7229, 1317, 540, 519, 5690, 267, 8525, 305, 1678, 267, 568, 2965, 513, 10342, 540, 519, 2179, 543, 1648, 540, 538, 20129, 6402, 563, 2026, 513, 1357, 6725, 543, 10229, 1062, 267, 19534, 17568, 15109, 875, 3406, 9817, 899, 586, 1695, 5622, 7500, 267, 519, 2780, 23553, 6620, 799, 27774, 4950, 3406, 2599, 2623, 267, 1018, 7606, 1413, 585, 267, 519, 4890, 1413, 1575, 2474, 610, 1883, 2453, 29921, 883, 9817, 899, 24440, 267, 543, 799, 3406, 9817, 899, 24440, 543, 586, 1695, 5622, 616, 5551, 676, 741, 5059, 5304, 269, 19630, 1944, 513, 3896, 1223, 27167, 11049, 922, 1344, 267, 1519, 1543, 267, 6104, 5109, 14103, 267, 543, 2404, 8193, 547, 1312, 8449, 6318, 922, 10083, 547, 2189, 17161, 543, 2453, 543, 547, 4894, 7496, 2509, 519, 4994, 532, 13467, 540, 3406, 9817, 899, 24440, 543, 586, 1695, 5622, 563, 15507, 2599, 5688, 5314, 2409, 666, 581, 19040, 883, 1079, 3376, 2516, 281, 12485, 602, 4950, 3406, 2599, 10909, 2303, 607, 8791, 540, 1390, 2511, 9497, 19009, 11058, 19823, 543, 1004, 2994, 540, 799, 3406, 9817, 899, 24440, 4043, 711, 547, 29343, 9497, 18872, 11058, 20257, 634, 1585, 3406, 9817, 2119, 547, 22887, 10663, 519, 1764, 540, 707, 8545, 267, 1851, 873, 28417, 1372, 343, 532, 563, 2414, 2061, 13311, 1344, 1247, 538, 519, 1413, 1575, 30455, 267, 3896, 5411, 666, 4051, 20151, 2760, 547, 31770, 9138, 1239, 6119, 610, 1463, 1559, 2429, 519, 6093, 11608, 17902, 3758, 538, 519, 5748, 15682, 689, 519, 1858, 269, 4746, 267, 513, 1357, 3135, 568, 2356, 12799, 16934, 689, 519, 2638, 856, 713, 3135, 3406, 2599, 781, 6538, 676, 9001, 513, 13849, 11090, 1978, 547, 11608, 269, 7102, 942, 513, 2228, 3406, 2599, 11564, 513, 1357, 21935, 267, 519, 11608, 17902, 13883, 538, 519, 3597, 15682, 568, 519, 3355, 3758, 3095, 17875, 1194, 269, 634, 11608, 17902, 3758, 568, 1287, 16163, 539, 543, 666, 4051, 519, 18951, 7282, 799, 1357, 3817, 616, 711, 547, 3622, 581, 17875, 1194, 563, 268, 25839, 3406, 2599, 6725, 666, 1491, 1932, 1360, 1279, 267, 596, 1058, 7227, 1100, 1447, 982, 476, 274, 3275, 547, 2253, 3168, 693, 2640, 593, 519, 3406, 9817, 269, 543, 1100, 1268, 15055, 4712, 267, 769, 1880, 602, 1279, 563, 15507, 9817, 899, 586, 1695, 5622, 949, 7654, 10336, 1125, 7270, 789, 3605, 1818, 946, 540, 3109, 11058, 2553, 267, 1312, 676, 10893, 741, 31213, 610, 4227, 741, 1592, 902, 689, 741, 12240, 15587, 269, 901, 4990, 540, 20507, 666, 581, 1031, 1312, 3533, 676, 519, 3406, 9817, 262, 6620, 267, 610, 676, 513, 25156, 1357, 3135, 6268, 563, 1607, 2636, 596, 547, 7001, 519, 3007, 540, 519, 5304, 269, 1306, 519, 3618, 779, 3007, 12732, 11081, 267, 707, 12434, 666, 7654, 2569, 2059, 609, 621, 610, 11694, 10375, 569, 676, 10115, 883, 519, 2104, 540, 2228, 6725, 563, 4415, 938, 5851, 8525, 2533, 649, 9153, 1357, 3135, 835, 1880, 31213, 1317, 621, 1131, 1175, 711, 3280, 1318, 711, 547, 2327, 621, 269, 1284, 723, 1631, 8947, 938, 2553, 585, 1082, 1296, 543, 789, 616, 21407, 602, 649, 666, 1205, 30474, 1454, 1022, 3381, 19486, 593, 24440, 14322, 602, 621, 5963, 568, 3964, 543, 20979, 676, 721, 563, 10144, 781, 5469, 21269, 616, 11173, 547, 2569, 607, 519, 3618, 4991, 547, 581, 811, 25274, 3557, 6361, 7308, 19603, 267, 2367, 543, 2021, 616, 711, 6236, 2542, 998, 1018, 568, 593, 513, 3896, 1022, 811, 269, 1358, 1616, 519, 1702, 3432, 344, 543, 3551, 865, 799, 789, 786, 1118, 589, 3728, 543, 3551, 5542, 2509, 9140, 513, 2533, 610, 2472, 563, 18893, 574, 1436, 2994, 616, 5393, 22934, 547, 519, 8789, 3406, 9817, 899, 586, 1695, 5622, 538, 519, 3077, 2344, 269, 634, 3406, 9817, 262, 5823, 8843, 4268, 689, 2344, 1747, 547, 1699, 2344, 267, 607, 1281, 6735, 269, 769, 476, 1220, 274, 267, 667, 15967, 590, 29229, 1767, 602, 5616, 6719, 827, 476, 4037, 260, 540, 782, 19707, 16804, 325, 604, 1399, 8370, 316, 769, 2344, 17541, 13964, 634, 721, 267, 5616, 781, 2671, 568, 4749, 3152, 267, 543, 5616, 3788, 519, 8789, 4950, 3406, 2599, 782, 936, 519, 1158, 607, 540, 476, 1220, 278, 563, 29248, 344, 9418, 7763, 687, 1193, 1161, 547, 1683, 938, 7817, 25279, 609, 1655, 540, 519, 4155, 5907, 6725, 543, 10229, 2533, 602, 786, 4734, 519, 11534, 3789, 689, 519, 7452, 269, 3816, 664, 4557, 3268, 538, 4434, 540, 707, 15712, 543, 2097, 547, 581, 606, 6392, 538, 519, 2872, 676, 10435, 519, 1034, 540, 938, 3381, 6725, 543, 9612, 2599, 11938, 4485, 891, 2395, 2336, 2171, 2125, 924, 2777, 5411, 17019, 519, 4502, 540, 513, 1804, 20823, 543, 15287, 538, 4950, 3406, 2599, 4093, 267, 314, 338, 1460, 316, 2679, 513, 7872, 585, 8449, 3043, 11058, 543, 3109, 11058, 5680, 11938, 9439, 269, 769, 1899, 609, 1870, 25566, 667, 15967, 590, 29229, 267, 519, 8360, 834, 14142, 2599, 5688, 5314, 257, 538, 782, 5506, 8452, 883, 946, 538, 476, 1960, 278, 269, 0, 300, 6369, 267, 610, 7073, 5678, 5948, 267, 568, 513, 11249, 2511, 1034, 1419, 1031, 538, 519, 23408, 543, 12666, 6575, 269, 1879, 1603, 513, 10855, 1557, 267, 610, 606, 1557, 602, 269, 9717, 538, 2385, 515, 268, 28140, 282, 1100, 2985, 1003, 268, 10874, 568, 2139, 269, 12540, 1400, 14391, 725, 5815, 17090, 16654, 11249, 543, 2500, 1603, 269, 12726, 17090, 14474, 1540, 7433, 269, 3967, 476, 277, 267, 476, 1001, 272, 269, 769, 713, 3381, 5850, 267, 594, 2491, 875, 547, 1305, 707, 1557, 547, 17090, 3898, 1519, 519, 20927, 543, 15853, 269, 901, 568, 519, 4824, 4528, 10023, 563, 13971, 476, 736, 267, 476, 1960, 279, 269, 1879, 2847, 2358, 707, 1557, 267, 1118, 2386, 707, 1957, 5205, 17090, 2511, 3898, 269, 901, 2985, 3568, 930, 2489, 4808, 585, 519, 2168, 269, 14474, 1154, 2659, 7433, 538, 9786, 6478, 269, 5153, 476, 272, 910, 8564, 14474, 24225, 269, 3767, 602, 596, 616, 30149, 7157, 267, 1826, 707, 16144, 910, 1826, 707, 2012, 269, 0, 763, 4400, 10513, 17963, 281, 589, 17897, 2986, 3115, 550, 766, 454, 763, 4400, 10513, 17963, 616, 519, 1034, 4922, 4767, 6014, 14812, 267, 4098, 609, 681, 9655, 25300, 534, 1695, 267, 519, 6014, 1715, 5729, 267, 543, 10678, 4557, 2395, 2663, 609, 962, 558, 918, 2089, 584, 267, 519, 4303, 540, 2311, 821, 618, 269, 634, 3923, 18631, 519, 4400, 10513, 17963, 267, 1634, 607, 4432, 592, 538, 12355, 267, 568, 513, 942, 540, 7041, 5473, 7920, 8086, 543, 9997, 5498, 31186, 269, 634, 8789, 6249, 1282, 713, 942, 568, 512, 21983, 12320, 1695, 267, 2495, 1065, 550, 766, 267, 12777, 968, 4958, 9506, 547, 835, 779, 1582, 1848, 4438, 713, 942, 267, 7642, 1472, 519, 1158, 4983, 741, 2729, 543, 3343, 19807, 585, 519, 4947, 1032, 563, 19350, 596, 786, 3605, 513, 3099, 540, 2200, 547, 948, 596, 1174, 519, 2956, 543, 4644, 540, 713, 13411, 942, 540, 1032, 267, 711, 1152, 547, 17194, 267, 855, 849, 547, 519, 4168, 5132, 563, 312, 558, 918, 2089, 584, 267, 519, 2868, 5006, 1554, 540, 519, 6014, 11706, 267, 7436, 519, 7583, 332, 1588, 540, 519, 4400, 10513, 17963, 543, 568, 4767, 609, 17509, 543, 824, 5389, 563, 2171, 616, 16042, 519, 4400, 10513, 17963, 540, 681, 9655, 25300, 534, 1695, 543, 962, 558, 918, 2089, 584, 267, 17194, 779, 2868, 5006, 942, 540, 519, 1032, 269, 1284, 723, 5423, 513, 1863, 4647, 762, 27412, 540, 15887, 6798, 962, 3663, 1408, 661, 1188, 7322, 779, 1821, 10899, 10752, 547, 3391, 596, 998, 891, 32375, 1713, 2395, 563, 305, 9655, 25300, 534, 1695, 267, 519, 6014, 1715, 5729, 267, 568, 513, 942, 540, 11812, 543, 26126, 269, 3509, 540, 891, 4798, 616, 1655, 6829, 998, 519, 2027, 3536, 12926, 6039, 1282, 713, 9702, 269, 8347, 930, 540, 891, 2757, 10346, 585, 681, 9655, 25300, 534, 1695, 543, 962, 558, 918, 2089, 584, 269, 0, 21982, 593, 519, 4161, 585, 1007, 1857, 6283, 2533, 609, 606, 4081, 11897, 12009, 19710, 267, 609, 2189, 2093, 602, 2736, 1524, 32616, 539, 3206, 454, 10666, 1614, 1296, 3516, 267, 950, 4515, 269, 6875, 14673, 10202, 267, 945, 24870, 538, 3060, 3354, 543, 8849, 3060, 630, 15574, 4393, 7271, 24018, 593, 1480, 2634, 2497, 264, 1558, 609, 519, 7022, 540, 808, 305, 5101, 693, 513, 5870, 267, 519, 1079, 1336, 2933, 607, 2186, 1042, 14326, 607, 4166, 607, 789, 1558, 269, 4515, 269, 6875, 14673, 10202, 7000, 1010, 1382, 2093, 1644, 547, 16749, 2533, 267, 971, 607, 519, 834, 26104, 640, 10451, 6989, 257, 543, 834, 10520, 2091, 5951, 10584, 2580, 543, 606, 4081, 11897, 12009, 19710, 729, 4956, 593, 693, 519, 5544, 269, 769, 9316, 609, 808, 305, 5101, 13693, 1218, 7577, 267, 1082, 3785, 616, 896, 1259, 2509, 513, 16749, 3028, 602, 568, 24080, 3593, 7888, 563, 257, 25821, 640, 10451, 6989, 257, 6087, 15915, 547, 5352, 5122, 1379, 693, 10473, 454, 4263, 10473, 538, 519, 4099, 540, 4884, 267, 1082, 1004, 2097, 543, 979, 269, 2052, 1405, 713, 679, 537, 332, 748, 2179, 540, 4483, 1648, 581, 1031, 547, 5352, 5201, 286, 3194, 540, 519, 834, 26104, 640, 10451, 6989, 257, 3323, 689, 971, 513, 2189, 2856, 267, 543, 568, 1759, 593, 519, 1382, 676, 25391, 515, 328, 15917, 600, 714, 340, 630, 272, 560, 1032, 1377, 693, 519, 519, 23958, 3427, 540, 9012, 543, 26291, 1070, 4515, 269, 6875, 14673, 10202, 781, 2875, 267, 547, 5352, 5122, 1379, 609, 3280, 5951, 543, 19089, 269, 25391, 515, 328, 729, 1152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5156, 547, 723, 1044, 3964, 538, 519, 19109, 2129, 334, 1974, 267, 543, 568, 851, 540, 918, 636, 27323, 1210, 519, 26626, 540, 2637, 10202, 563, 1103, 1412, 7049, 10202, 10275, 334, 10086, 5965, 2947, 15004, 1142, 540, 2947, 5686, 540, 918, 984, 18602, 630, 1839, 15004, 538, 2698, 1916, 298, 558, 9369, 695, 4428, 956, 891, 476, 1839, 15004, 267, 26717, 909, 2947, 15004, 11737, 337, 3320, 689, 891, 476, 1839, 15004, 267, 17236, 835, 10189, 856, 540, 2947, 15004, 267, 543, 10596, 918, 19660, 547, 14538, 538, 5311, 267, 543, 1287, 267, 14538, 6432, 547, 519, 1651, 1619, 269, 19244, 519, 1657, 3157, 2947, 2053, 563, 5475, 918, 19660, 568, 5293, 547, 782, 14538, 2947, 2053, 267, 543, 782, 14538, 9096, 6947, 547, 519, 1651, 1619, 267, 1142, 16823, 11339, 1524, 2436, 519, 2947, 5686, 540, 1651, 1619, 616, 519, 1482, 610, 1114, 269, 901, 1259, 540, 1603, 1915, 3278, 2637, 10202, 10275, 334, 269, 3689, 267, 2721, 2947, 7299, 3515, 267, 1287, 2721, 513, 8880, 1899, 865, 607, 547, 1921, 782, 7299, 3515, 10858, 547, 519, 1651, 1619, 24565, 547, 581, 519, 1482, 630, 1721, 1383, 267, 1412, 300, 328, 1824, 4157, 25775, 630, 4067, 540, 519, 476, 1691, 628, 5066, 540, 519, 26626, 540, 2637, 10202, 264, 262, 538, 519, 3791, 6241, 689, 519, 1318, 593, 519, 2034, 1899, 593, 519, 1318, 5750, 2982, 602, 519, 1651, 1619, 19557, 547, 1101, 267, 2034, 267, 543, 8772, 942, 616, 519, 1482, 267, 543, 519, 1651, 1619, 19557, 547, 3791, 543, 11359, 616, 4830, 267, 6606, 1040, 476, 7367, 3270, 616, 1500, 998, 4999, 540, 891, 2947, 3515, 267, 543, 1142, 540, 891, 476, 7367, 3270, 538, 713, 5750, 5330, 547, 1142, 2012, 540, 519, 476, 272, 560, 547, 476, 7367, 526, 20061, 267, 27195, 1079, 20061, 3957, 17340, 1080, 889, 334, 543, 962, 2541, 1100, 772, 7288, 327, 20076, 267, 856, 540, 476, 7918, 20061, 540, 519, 26626, 540, 2637, 10202, 563, 288, 5750, 6029, 713, 7222, 2078, 568, 1412, 298, 334, 5991, 334, 22271, 340, 630, 4532, 1619, 5750, 1040, 7055, 10376, 16823, 2357, 5809, 741, 1378, 5750, 1247, 3168, 693, 713, 1412, 7049, 10202, 10275, 334, 5991, 334, 22271, 340, 10086, 543, 4267, 519, 10858, 5066, 2012, 540, 519, 26626, 540, 2637, 10202, 563, 2691, 513, 16823, 3947, 782, 519, 2953, 4267, 267, 519, 4484, 11831, 630, 27064, 487, 264, 568, 2854, 1524, 593, 1010, 17017, 1957, 563, 298, 3120, 2041, 6373, 630, 1817, 572, 17040, 9984, 14150, 454, 298, 3120, 2041, 6373, 10275, 334, 568, 835, 540, 519, 2081, 547, 2972, 1651, 1619, 8781, 267, 543, 2488, 513, 1360, 2178, 4743, 540, 4730, 513, 3014, 563, 5575, 267, 7941, 14538, 883, 1079, 6887, 563, 7230, 913, 1079, 15004, 689, 519, 6967, 476, 1321, 267, 6028, 476, 1015, 15004, 543, 1287, 6633, 873, 693, 4351, 267, 543, 7058, 799, 918, 758, 528, 23449, 10275, 334, 630, 339, 787, 1651, 1619, 264, 32307, 519, 1482, 1651, 1619, 269, 634, 2698, 1297, 540, 2953, 4267, 2016, 676, 1142, 16823, 568, 513, 6060, 585, 1010, 17017, 2319, 269, 5565, 8424, 540, 7504, 11057, 543, 795, 15736, 11057, 4773, 616, 2322, 593, 519, 2027, 4604, 267, 543, 835, 6060, 568, 2838, 547, 1450, 519, 795, 15736, 547, 11878, 513, 7504, 267, 1287, 519, 795, 15736, 593, 7504, 3724, 666, 1847, 4464, 476, 275, 7161, 8164, 519, 2319, 8464, 835, 1448, 269, 1403, 519, 2319, 1281, 711, 6060, 267, 922, 795, 15736, 786, 581, 24565, 607, 9991, 1055, 1010, 7504, 267, 543, 952, 513, 7504, 540, 2901, 2319, 568, 6619, 540, 1776, 7504, 676, 476, 276, 610, 811, 7161, 267, 922, 795, 15736, 568, 24565, 607, 9991, 689, 1010, 7504, 269, 2290, 6060, 568, 2838, 547, 11878, 519, 7504, 1586, 1310, 9991, 563, 763, 2319, 4171, 7504, 22613, 519, 1744, 984, 1872, 328, 630, 21129, 880, 1899, 264, 1101, 267, 17993, 563, 12218, 923, 540, 1651, 1619, 8781, 454, 763, 1739, 8106, 2835, 827, 1651, 1619, 8781, 267, 918, 29081, 3620, 573, 839, 14833, 630, 1504, 540, 11580, 540, 1651, 1619, 8781, 264, 676, 27550, 2313, 334, 570, 12442, 23813, 267, 543, 918, 29081, 268, 7288, 7315, 630, 16347, 540, 1651, 1619, 8781, 264, 676, 590, 690, 334, 670, 21815, 296, 312, 288, 616, 538, 6228, 267, 543, 1312, 941, 16432, 538, 519, 570, 839, 14833, 1974, 269, 0, 763, 12474, 17435, 3290, 540, 9978, 3427, 15099, 454, 268, 5741, 22384, 454, 268, 5741, 11270, 454, 268, 476, 272, 270, 1220, 276, 910, 476, 1321, 270, 1220, 278, 454, 268, 7767, 528, 1315, 623, 6945, 1889, 1315, 5741, 1826, 454, 268, 16231, 3163, 7690, 454, 268, 631, 308, 20513, 610, 1770, 454, 268, 20513, 540, 4065, 454, 268, 2596, 1153, 267, 6437, 267, 4295, 6437, 267, 2596, 1153, 682, 11232, 267, 4116, 2069, 454, 268, 23101, 908, 9257, 454, 307, 5557, 645, 1092, 2160, 538, 2098, 331, 27713, 454, 763, 1788, 634, 12474, 17435, 3290, 540, 9978, 3427, 15099, 6663, 693, 519, 2079, 540, 519, 7569, 593, 3872, 1543, 267, 538, 1880, 593, 519, 1377, 540, 519, 2596, 1153, 682, 11232, 269, 634, 1888, 568, 8947, 689, 519, 1448, 540, 2070, 540, 519, 7766, 3506, 543, 849, 689, 519, 1448, 540, 2070, 540, 519, 2486, 21485, 338, 6788, 269, 634, 1788, 568, 1759, 593, 519, 1095, 6269, 3789, 602, 2596, 1153, 6437, 1058, 711, 581, 5097, 5462, 2687, 547, 3621, 4610, 267, 855, 602, 519, 2115, 543, 7399, 540, 10453, 540, 602, 2085, 1058, 581, 3144, 883, 2272, 269, 769, 713, 1788, 267, 1505, 5505, 616, 3238, 945, 4983, 519, 1888, 538, 519, 1769, 540, 741, 4610, 267, 543, 16895, 267, 945, 1353, 519, 1184, 540, 1565, 269, 1677, 4308, 609, 519, 1788, 267, 11050, 1935, 630, 1652, 517, 9382, 267, 1225, 14152, 3561, 2079, 267, 1837, 9382, 267, 26830, 264, 607, 1134, 607, 12007, 835, 630, 4820, 4602, 894, 8343, 538, 3506, 267, 2013, 2090, 264, 786, 581, 3238, 269, 769, 519, 1576, 540, 713, 1788, 267, 29468, 543, 19014, 786, 581, 22555, 267, 7811, 2090, 786, 581, 3370, 607, 1134, 607, 10554, 2835, 543, 1866, 269, 634, 1788, 786, 3565, 547, 519, 27792, 543, 20487, 540, 519, 2596, 1153, 6437, 21485, 338, 1599, 538, 519, 1543, 543, 1505, 673, 10155, 563, 763, 6663, 540, 519, 1788, 723, 1044, 6913, 1317, 540, 513, 1804, 2319, 540, 897, 1987, 2209, 267, 543, 3742, 7589, 540, 824, 9164, 543, 3610, 269, 476, 272, 270, 9978, 1153, 1641, 2339, 729, 12290, 2687, 547, 519, 2203, 540, 6437, 543, 21845, 609, 606, 8561, 593, 1257, 2835, 543, 609, 519, 948, 540, 20956, 8721, 19827, 540, 3450, 267, 3092, 269, 476, 273, 270, 9978, 4162, 540, 6437, 941, 4767, 538, 1153, 6054, 267, 9499, 267, 538, 8343, 5359, 282, 1896, 5359, 941, 3370, 602, 4843, 519, 2164, 269, 476, 274, 270, 7956, 9248, 941, 21845, 676, 513, 5094, 1895, 540, 3173, 282, 1079, 27865, 11490, 10070, 543, 1896, 2090, 941, 3370, 865, 2484, 282, 519, 1895, 5170, 547, 960, 1927, 269, 476, 275, 270, 634, 3157, 540, 11601, 941, 4767, 5631, 676, 16895, 543, 2361, 1705, 12519, 1235, 269, 21133, 1527, 269, 966, 903, 14150, 25155, 559, 990, 5451, 779, 21769, 5280, 547, 12172, 519, 2361, 538, 3119, 2069, 267, 12077, 538, 4985, 547, 17323, 269, 476, 276, 270, 4354, 14152, 1543, 538, 1367, 1153, 5396, 729, 21845, 676, 2361, 1705, 12519, 1235, 282, 519, 4681, 941, 3370, 538, 10070, 543, 538, 5094, 2090, 269, 476, 277, 270, 634, 1007, 2409, 540, 20194, 1035, 527, 14010, 941, 8947, 676, 555, 2098, 331, 27713, 2319, 267, 1743, 269, 18087, 20795, 335, 5451, 337, 28325, 5451, 1696, 269, 620, 269, 476, 278, 270, 11819, 2866, 729, 21845, 12077, 676, 966, 269, 15662, 510, 11355, 267, 945, 3370, 513, 1297, 540, 2090, 543, 9034, 2213, 519, 4681, 538, 8575, 385, 486, 5451, 330, 267, 3967, 6403, 330, 267, 15662, 510, 11355, 910, 27956, 1731, 4918, 642, 6204, 25155, 553, 333, 2946, 15662, 350, 330, 1961, 563, 13707, 1297, 540, 12326, 281, 476, 7761, 0, 1607, 3992, 2882, 476, 1704, 3606, 2055, 543, 476, 2735, 3606, 2243, 7648, 585, 32224, 563, 8893, 8018, 281, 27449, 538, 26440, 4181, 267, 3687, 2373, 267, 543, 1530, 6948, 9119, 454, 1103, 713, 4976, 267, 649, 786, 2259, 14291, 519, 2268, 540, 7285, 689, 5232, 267, 3764, 267, 543, 7643, 547, 1152, 5232, 543, 13030, 17930, 563, 28061, 568, 3843, 547, 6460, 547, 5232, 1152, 1510, 1210, 513, 9498, 269, 3689, 267, 646, 17838, 519, 3764, 547, 5232, 676, 12270, 476, 5325, 676, 476, 2568, 267, 543, 1287, 646, 17838, 519, 7643, 547, 3764, 676, 12270, 476, 3374, 676, 476, 2568, 269, 7053, 267, 646, 8591, 782, 540, 519, 2694, 540, 519, 4110, 547, 1205, 1010, 2626, 269, 3571, 2626, 568, 4586, 3674, 1010, 1184, 2953, 888, 2252, 596, 1589, 602, 1010, 1184, 568, 4636, 267, 799, 540, 519, 1739, 568, 2953, 888, 268, 3642, 1589, 1010, 1184, 568, 2953, 563, 268, 645, 3891, 1058, 1039, 782, 540, 519, 5232, 267, 3764, 267, 543, 7643, 676, 12270, 519, 3764, 610, 7643, 676, 476, 2568, 269, 1924, 267, 1010, 2626, 786, 581, 4586, 268, 595, 3891, 1058, 7941, 519, 476, 3374, 7643, 676, 476, 2568, 2053, 476, 2568, 630, 274, 267, 7785, 264, 547, 6460, 621, 547, 5232, 269, 1924, 267, 1010, 2626, 786, 581, 4586, 5591, 1695, 779, 4116, 4280, 1864, 547, 2769, 538, 5232, 1152, 1510, 1210, 519, 9498, 269, 25424, 29709, 519, 5650, 267, 865, 646, 1223, 711, 2626, 1010, 4116, 779, 2243, 269, 3571, 4116, 16761, 602, 1010, 9164, 267, 700, 3554, 267, 20900, 267, 543, 15243, 267, 948, 1864, 269, 700, 3554, 1767, 519, 2626, 729, 2073, 20900, 1767, 519, 2626, 729, 2073, 543, 15243, 1767, 519, 2626, 729, 1547, 1733, 846, 2626, 568, 2953, 888, 299, 3554, 543, 15623, 616, 1210, 741, 26732, 547, 6460, 547, 5232, 267, 3764, 267, 543, 7643, 269, 700, 3554, 3081, 519, 2626, 568, 1547, 1717, 267, 15623, 3081, 519, 2626, 568, 1547, 4635, 707, 9498, 267, 3313, 799, 2626, 568, 2953, 269, 0, 23742, 7825, 6033, 3204, 2088, 26186, 514, 729, 538, 1164, 1153, 950, 1352, 1101, 4121, 827, 513, 5266, 10595, 4385, 4062, 540, 2622, 2782, 4083, 1686, 267, 1498, 1352, 4769, 1406, 1451, 827, 621, 538, 1362, 563, 14881, 4769, 1405, 1451, 827, 713, 538, 1686, 543, 7168, 1454, 1100, 835, 3116, 814, 2223, 26186, 514, 1767, 563, 26364, 858, 514, 568, 13288, 547, 519, 1650, 540, 513, 1895, 540, 1896, 8536, 4436, 23899, 1453, 1634, 607, 968, 31342, 9040, 625, 3034, 12749, 3377, 540, 519, 1554, 454, 9515, 4121, 827, 873, 689, 513, 1433, 2854, 676, 513, 1920, 3659, 945, 729, 513, 968, 31342, 17926, 892, 9887, 563, 10527, 597, 11299, 941, 4436, 2021, 543, 741, 18971, 941, 3979, 12677, 7980, 267, 543, 789, 1185, 1453, 543, 1100, 835, 4941, 873, 2223, 26186, 514, 1767, 269, 968, 5445, 941, 9575, 1063, 13303, 5125, 543, 13343, 18844, 3013, 3034, 763, 1453, 616, 519, 1641, 540, 26186, 514, 779, 476, 1001, 271, 17245, 267, 968, 31342, 9040, 625, 281, 634, 16700, 577, 13530, 330, 5407, 9452, 3034, 763, 4670, 568, 827, 519, 15400, 8194, 540, 1896, 8536, 4436, 23899, 1453, 267, 4171, 4563, 1977, 4108, 18971, 1185, 8854, 1394, 547, 519, 2136, 2276, 543, 4171, 3043, 4436, 11299, 1223, 711, 6488, 547, 6318, 873, 563, 10527, 11299, 267, 1256, 952, 789, 4941, 547, 1832, 873, 267, 789, 3112, 1832, 606, 19887, 267, 789, 3112, 1832, 741, 6009, 267, 789, 941, 26723, 2350, 1242, 538, 741, 2950, 543, 741, 3885, 2223, 26186, 514, 1767, 269, 968, 763, 7980, 616, 1055, 547, 519, 1985, 1747, 267, 865, 519, 1453, 941, 2322, 538, 29152, 1137, 3034, 6624, 540, 519, 1453, 2968, 530, 1841, 540, 519, 4436, 2229, 267, 1141, 741, 2729, 14201, 1406, 1500, 1022, 4443, 563, 2108, 6624, 540, 873, 5030, 538, 29152, 1137, 1317, 602, 729, 16363, 513, 10930, 1747, 585, 873, 547, 2661, 2223, 26186, 514, 1767, 269, 968, 2467, 616, 2984, 540, 519, 1453, 2469, 10977, 543, 2576, 3843, 547, 546, 3497, 873, 269, 1358, 941, 865, 31411, 602, 789, 941, 1447, 982, 269, 1284, 723, 1453, 3843, 547, 28103, 519, 6960, 1055, 540, 741, 2960, 269, 1924, 789, 941, 5701, 607, 1447, 982, 543, 741, 1272, 1995, 10630, 602, 3034, 6546, 779, 1141, 631, 8475, 12896, 1067, 13788, 519, 1650, 563, 763, 4563, 19784, 267, 4171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1412, 1993, 15466, 11172, 16689, 1038, 1412, 338, 276, 4366, 275, 1704, 4281, 9166, 1496, 9131, 8974, 25871, 3603, 3299, 1412, 8974, 5155, 564, 3603, 11172, 16689, 1038, 1412, 338, 276, 4366, 4510, 277, 4281, 9166, 1496, 9131, 24834, 3299, 1412, 24834, 6672, 11172, 2676, 4449, 8587, 18358, 516, 1186, 976, 1043, 3299, 1412, 22529, 1043, 11172, 2676, 4449, 8587, 18358, 23251, 523, 560, 542, 3299, 1412, 23251, 3290, 11172, 2676, 4449, 8587, 18358, 11663, 1529, 520, 4902, 3299, 1412, 11663, 1529, 1155, 11172, 2676, 4449, 8587, 18358, 335, 592, 332, 3299, 1412, 335, 592, 14004, 11172, 16689, 1038, 1412, 338, 276, 4366, 27174, 5780, 9166, 1496, 9131, 777, 12037, 3299, 1412, 14363, 11172, 16689, 1038, 1412, 338, 276, 4366, 5325, 278, 1321, 9166, 1496, 9131, 628, 1170, 728, 3299, 1412, 10472, 2427, 11172, 16689, 1038, 1412, 338, 276, 4366, 5392, 275, 5392, 9166, 1496, 9131, 20191, 3299, 1412, 1478, 339, 11172, 16689, 1038, 1412, 338, 276, 4366, 275, 4817, 1015, 9166, 1496, 9131, 323, 31463, 1055, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 4366, 24423, 1015, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 4366, 6858, 272, 4029, 9166, 1496, 9131, 777, 26338, 953, 1157, 2287, 3299, 1412, 777, 344, 5632, 5394, 2287, 11172, 16689, 1038, 1412, 338, 276, 4366, 278, 1556, 1691, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 4366, 4037, 272, 5952, 9166, 1496, 9131, 516, 2536, 571, 1076, 3299, 1412, 516, 2536, 762, 11172, 16689, 1038, 1412, 338, 276, 4366, 4281, 280, 10463, 9166, 1496, 9131, 1842, 527, 1441, 3299, 1412, 6570, 539, 11172, 16689, 1038, 1412, 338, 276, 4366, 25616, 6349, 9166, 1496, 9131, 1492, 322, 822, 13331, 7434, 3299, 1412, 1492, 8883, 13331, 7434, 11172, 16689, 1038, 1412, 338, 276, 4366, 279, 7761, 5881, 9166, 1496, 9131, 342, 832, 14819, 3299, 1412, 342, 832, 2287, 11172, 16689, 1038, 1412, 338, 276, 4366, 279, 8064, 3445, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 4366, 280, 2918, 4029, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 19740, 8287, 9166, 1496, 9131, 342, 802, 3299, 1412, 933, 4060, 11172, 16689, 1038, 1412, 338, 276, 5392, 30203, 7761, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 31239, 1428, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 271, 3583, 7367, 9166, 1496, 9131, 514, 30541, 656, 3299, 1412, 514, 30541, 550, 11172, 16689, 1038, 1412, 338, 276, 5392, 6021, 275, 1556, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 14093, 5881, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 15782, 11152, 9166, 1496, 9131, 680, 1968, 3299, 1412, 921, 1116, 11172, 16689, 1038, 1412, 338, 276, 5392, 14689, 6246, 9166, 1496, 9131, 599, 332, 13240, 3299, 1412, 553, 2096, 13240, 28710, 18358, 15343, 636, 1054, 528, 1314, 3299, 1412, 335, 12149, 1054, 528, 1314, 28710, 18358, 341, 338, 3121, 1242, 3299, 1412, 6665, 783, 1242, 11172, 16689, 1038, 1412, 338, 276, 5392, 3707, 4200, 9166, 1496, 9131, 4134, 1356, 333, 762, 3299, 1412, 4134, 1356, 333, 1043, 11172, 16689, 1038, 1412, 338, 276, 5392, 20969, 10170, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 26839, 2767, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 28360, 10602, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 28071, 1704, 9166, 1496, 9131, 516, 2536, 571, 1076, 3299, 1412, 516, 2536, 762, 11172, 16689, 1038, 1412, 338, 276, 5392, 3374, 278, 3374, 9166, 1496, 9131, 331, 330, 773, 569, 3299, 1412, 3697, 569, 11172, 16689, 1038, 1412, 338, 276, 5392, 4375, 276, 3393, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 4375, 279, 5780, 9166, 1496, 9131, 2381, 574, 2711, 3299, 1412, 2381, 2711, 11172, 16689, 1038, 1412, 338, 276, 5392, 31404, 7918, 9166, 1496, 9131, 1492, 322, 822, 13331, 7434, 3299, 1412, 1492, 8883, 13331, 7434, 11172, 16689, 1038, 1412, 338, 276, 5392, 275, 2537, 2641, 9166, 1496, 9131, 516, 2536, 571, 1076, 3299, 1412, 516, 2536, 762, 11172, 16689, 1038, 1412, 338, 276, 5392, 275, 2764, 8660, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 27174, 8064, 9166, 1496, 9131, 30104, 10520, 10337, 3299, 1412, 30104, 11413, 11172, 16689, 1038, 1412, 338, 276, 5392, 5379, 274, 10170, 9166, 1496, 9131, 14585, 337, 548, 566, 3299, 1412, 14585, 21975, 11172, 16689, 1038, 1412, 338, 276, 5392, 5379, 279, 4097, 9166, 1496, 9131, 541, 3299, 1412, 732, 28710, 18358, 1506, 6113, 1886, 12149, 1054, 528, 1314, 3299, 1412, 5139, 1886, 12149, 1054, 528, 1314, 11172, 16689, 1038, 1412, 338, 276, 5392, 5325, 278, 6246, 9166, 1496, 9131, 26262, 527, 658, 3299, 1412, 5793, 560, 527, 658, 11172, 16689, 1038, 1412, 338, 276, 5392, 276, 1556, 6246, 9166, 1496, 9131, 4621, 617, 331, 2747, 3299, 1412, 4621, 24537, 11172, 16689, 1038, 1412, 338, 276, 5392, 276, 3066, 11011, 9166, 1496, 9131, 1492, 21639, 3299, 1412, 1492, 5580, 11172, 16689, 1038, 1412, 338, 276, 5392, 6872, 272, 11152, 9166, 1496, 9131, 520, 601, 551, 12118, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 6924, 275, 2767, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 278, 8287, 5952, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 4281, 276, 5392, 9166, 1496, 9131, 24175, 2248, 572, 3299, 1412, 24175, 2248, 338, 11172, 16689, 1038, 1412, 338, 276, 5392, 279, 1428, 4649, 9166, 1496, 9131, 22772, 12127, 3299, 1412, 22772, 902, 11172, 16689, 1038, 1412, 338, 276, 5392, 279, 2918, 5038, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 279, 2568, 6434, 9166, 1496, 9131, 4621, 7976, 3299, 1412, 4621, 15684, 11172, 16689, 1038, 1412, 338, 276, 5392, 279, 5952, 10695, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 8660, 273, 876, 9166, 1496, 9131, 21353, 531, 597, 3299, 1412, 21353, 1791, 11172, 16689, 1038, 1412, 338, 276, 5392, 3445, 278, 2420, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 276, 5392, 280, 4029, 4905, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 276, 5392, 4200, 278, 10170, 9166, 1496, 9131, 339, 1181, 3299, 1412, 6312, 1181, 11172, 16689, 1038, 1412, 338, 20862, 25484, 4281, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 30203, 5379, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 20862, 6021, 275, 11152, 9166, 1496, 9131, 704, 11962, 3299, 1412, 11825, 11962, 11172, 16689, 1038, 1412, 338, 20862, 12739, 866, 9166, 1496, 9131, 516, 2536, 571, 1076, 3299, 1412, 516, 2536, 762, 11172, 16689, 1038, 1412, 338, 20862, 26783, 7367, 9166, 1496, 9131, 5684, 328, 691, 542, 3299, 1412, 553, 17508, 11172, 16689, 1038, 1412, 338, 20862, 25784, 2767, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 25228, 2641, 9166, 1496, 9131, 335, 668, 5364, 3299, 1412, 335, 668, 5799, 11172, 16689, 1038, 1412, 338, 20862, 26326, 6872, 9166, 1496, 9131, 28717, 990, 1782, 3299, 1412, 28717, 6295, 11172, 16689, 1038, 1412, 338, 20862, 27088, 2412, 9166, 1496, 9131, 1706, 527, 958, 3299, 1412, 4820, 6053, 11172, 16689, 1038, 1412, 338, 20862, 4343, 278, 1556, 9166, 1496, 9131, 4134, 4186, 328, 6681, 3299, 1412, 4134, 11666, 6681, 11172, 16689, 1038, 1412, 338, 20862, 4375, 276, 5400, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 275, 1626, 8660, 9166, 1496, 9131, 1478, 569, 625, 3299, 1412, 1478, 15533, 11172, 16689, 1038, 1412, 338, 20862, 28242, 3199, 9166, 1496, 9131, 2869, 6134, 3299, 1412, 6853, 337, 6134, 11172, 16689, 1038, 1412, 338, 20862, 275, 4343, 4962, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 28710, 18358, 611, 16660, 1417, 3299, 1412, 29951, 8809, 11172, 16689, 1038, 1412, 338, 20862, 275, 4343, 2641, 9166, 1496, 9131, 2784, 1470, 641, 12120, 3299, 1412, 2784, 11340, 12120, 11172, 16689, 1038, 1412, 338, 20862, 5325, 280, 3607, 9166, 1496, 9131, 26262, 527, 658, 3299, 1412, 5793, 560, 527, 658, 11172, 16689, 1038, 1412, 338, 20862, 5392, 277, 6858, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 276, 1691, 3445, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 276, 4097, 9262, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 276, 3445, 6507, 9166, 1496, 9131, 641, 659, 328, 2572, 3299, 1412, 641, 659, 885, 11172, 16689, 1038, 1412, 338, 20862, 2568, 280, 9032, 9166, 1496, 9131, 527, 969, 531, 3299, 1412, 5793, 1998, 11172, 16689, 1038, 1412, 338, 20862, 5038, 280, 6860, 9166, 1496, 9131, 342, 640, 3299, 1412, 5976, 28710, 18358, 516, 1842, 527, 1456, 3299, 1412, 516, 6570, 532, 11172, 16689, 1038, 1412, 338, 20862, 5780, 280, 6507, 9166, 1496, 9131, 1260, 1706, 1707, 3299, 1412, 1260, 1706, 2581, 11172, 16689, 1038, 1412, 338, 20862, 278, 4097, 866, 9166, 1496, 9131, 2033, 584, 22131, 3299, 1412, 2033, 584, 903, 332, 28710, 18358, 20657, 2056, 3299, 1412, 9188, 322, 2056, 28710, 18358, 534, 21838, 903, 332, 3299, 1412, 2033, 584, 903, 332, 11172, 16689, 1038, 1412, 338, 20862, 278, 6246, 3066, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 20862, 278, 5780, 1015, 9166, 1496, 9131, 335, 11133, 8205, 3299, 1412, 335, 12149, 8205, 11172, 16689, 1038, 1412, 338, 20862, 279, 2641, 4391, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 20862, 279, 4281, 3953, 9166, 1496, 9131, 622, 937, 1162, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 20862, 3445, 272, 4037, 9166, 1496, 9131, 1335, 528, 19207, 613, 3299, 1412, 1335, 16964, 720, 11172, 16689, 1038, 1412, 338, 20862, 280, 1626, 3393, 9166, 1496, 9131, 921, 675, 343, 3299, 1412, 921, 584, 343, 11172, 16689, 1038, 1412, 338, 20862, 280, 2641, 5325, 9166, 1496, 9131, 622, 937, 320, 12118, 3299, 1412, 622, 937, 12118, 11172, 16689, 1038, 1412, 338, 20862, 280, 7830, 4375, 9166, 1496, 9131, 611, 1690, 1417, 3299, 1412, 29951, 8809, 11172, 16689, 1038, 1412, 338, 20862, 7176, 277, 6734, 9166, 1496, 9131, 331, 1492, 3299, 1412, 1492, 11172, 16689, 1038, 1412, 338, 20862, 4200, 273, 4510, 9166, 1496, 9131, 516, 1440, 338, 550, 3299, 1412, 10517, 6974, 11172, 16689, 1038, 1412, 338, 4649, 272, 9826, 5655, 9166, 1496, 9131, 10915, 937, 339, 3299, 1412, 10915, 937, 11172, 16689, 1038, 1412, 338, 4649, 272, 8099, 2568, 9166, 1496, 9131, 21353, 559, 3511, 3299, 1412, 21353, 1791, 11172, 16689, 1038, 1412, 338, 4649, 272, 11260, 4649, 9166, 1496, 9131, 328, 7614, 3299, 1412, 6062, 7614, 11172, 16689, 1038, 1412, 338, 4649, 272, 8146, 1704, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 4649, 272, 18891, 6858, 9166, 1496, 9131, 323, 984, 327, 4752, 3299, 1412, 291, 984, 321, 327, 4752, 11172, 16689, 1038, 1412, 338, 4649, 272, 22659, 4366, 9166, 1496, 9131, 516, 2536, 571, 1076, 3299, 1412, 516, 2536, 762, 11172 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 2020, 933, 666, 13182, 713, 676, 10992, 519, 12045, 693, 910, 272, 543, 789, 616, 3160, 692, 19030, 300, 710, 568, 519, 1482, 630, 3467, 610, 1447, 264, 909, 547, 543, 1519, 519, 1899, 594, 4312, 2699, 4765, 780, 16676, 5224, 689, 602, 1448, 1384, 5416, 17070, 7565, 268, 272, 268, 629, 264, 1341, 476, 275, 629, 5416, 17070, 264, 815, 476, 271, 692, 27784, 630, 320, 1341, 536, 7565, 274, 629, 910, 476, 272, 264, 815, 476, 271, 692, 27784, 513, 1341, 536, 815, 476, 271, 610, 476, 274, 629, 815, 476, 272, 780, 5804, 513, 1341, 536, 815, 476, 271, 596, 1205, 513, 815, 476, 272, 543, 536, 815, 910, 272, 610, 513, 815, 910, 272, 543, 536, 815, 476, 272, 780, 5804, 476, 274, 629, 815, 476, 272, 596, 1205, 1269, 320, 815, 536, 815, 1422, 2765, 3189, 6912, 346, 274, 12453, 274, 4151, 610, 1269, 320, 815, 536, 815, 910, 1422, 2765, 3189, 6912, 346, 274, 12453, 274, 23201, 1809, 536, 2999, 513, 18092, 27171, 780, 11997, 519, 3070, 568, 1535, 815, 476, 272, 543, 1535, 815, 910, 272, 780, 280, 269, 3245, 476, 274, 629, 815, 476, 272, 596, 1205, 610, 1547, 1809, 536, 2999, 513, 18092, 27171, 692, 24392, 267, 3112, 513, 815, 476, 274, 317, 272, 270, 274, 543, 536, 815, 476, 274, 317, 273, 270, 274, 26042, 1015, 269, 12361, 1234, 281, 4855, 519, 2798, 602, 723, 519, 1455, 17242, 1899, 692, 28989, 585, 536, 18804, 971, 606, 2025, 8142, 1107, 594, 729, 6061, 513, 2147, 1966, 593, 1776, 8468, 950, 594, 2965, 1336, 713, 8142, 593, 5616, 780, 2080, 779, 875, 594, 798, 621, 780, 4131, 1269, 325, 3287, 6661, 343, 317, 275, 268, 273, 343, 317, 273, 14870, 10608, 1403, 519, 3830, 540, 519, 1455, 17242, 568, 1269, 344, 284, 332, 343, 25239, 259, 649, 723, 692, 259, 332, 284, 325, 21948, 343, 6661, 275, 343, 317, 274, 268, 275, 343, 268, 272, 6911, 259, 322, 284, 325, 3287, 9984, 332, 343, 24210, 317, 275, 268, 273, 343, 317, 273, 14870, 24179, 275, 343, 317, 274, 268, 275, 343, 268, 272, 32589, 15871, 274, 343, 317, 275, 266, 273, 343, 317, 273, 6911, 2171, 1616, 547, 1265, 1079, 1253, 333, 551, 2798, 693, 1269, 343, 30381, 259, 543, 1269, 343, 284, 321, 259, 971, 602, 692, 259, 275, 320, 317, 274, 268, 275, 320, 268, 272, 284, 275, 321, 317, 274, 268, 275, 321, 268, 272, 315, 1422, 23976, 315, 513, 317, 274, 1532, 317, 274, 30381, 1532, 315, 1422, 23976, 315, 513, 317, 273, 266, 629, 17070, 317, 273, 284, 272, 315, 1422, 24126, 315, 1422, 325, 7901, 272, 6911, 663, 692, 27572, 274, 320, 317, 275, 266, 273, 320, 317, 273, 15871, 274, 321, 317, 275, 266, 273, 321, 317, 273, 315, 1422, 23976, 315, 476, 274, 5416, 317, 275, 1532, 317, 275, 6661, 273, 5416, 317, 273, 17070, 317, 273, 7751, 4399, 23976, 315, 476, 274, 5416, 17070, 7565, 320, 317, 273, 17070, 317, 273, 6661, 273, 5416, 17070, 22491, 2171, 786, 1397, 602, 1269, 320, 17070, 284, 271, 10608, 1403, 1269, 320, 17070, 315, 928, 271, 259, 1287, 1269, 274, 5416, 317, 273, 17070, 317, 273, 6661, 273, 315, 1422, 23976, 315, 513, 317, 273, 17070, 317, 273, 7807, 2765, 2537, 259, 282, 2655, 23082, 883, 4399, 325, 7901, 272, 259, 3947, 1269, 629, 7807, 2765, 1724, 259, 282, 849, 18159, 320, 17070, 8203, 273, 30381, 317, 273, 17070, 317, 273, 266, 273, 629, 7807, 2765, 6246, 259, 543, 865, 1269, 320, 17070, 7807, 2765, 3189, 10975, 273, 25490, 274, 348, 274, 10608, 9747, 1269, 320, 14720, 259, 616, 5072, 540, 519, 13392, 3830, 1269, 271, 284, 274, 343, 317, 273, 315, 10975, 273, 25490, 274, 343, 266, 272, 7807, 3847, 7268, 6912, 274, 343, 315, 10975, 272, 9368, 8203, 273, 8961, 1775, 4318, 269, 1269, 320, 284, 321, 10608, 1284, 1810, 1406, 1616, 713, 607, 1269, 320, 14720, 259, 1590, 581, 3982, 780, 11997, 1269, 320, 17070, 284, 271, 10608, 15240, 23082, 1269, 321, 15871, 320, 259, 883, 4399, 325, 7901, 272, 259, 3947, 1269, 320, 317, 273, 284, 272, 8961, 1775, 4318, 269, 1269, 320, 7807, 10975, 272, 16859, 10484, 10484, 10484, 10484, 258, 3830, 540, 1455, 17242, 1899, 693, 513, 1448, 692, 12812, 593, 513, 2165, 547, 3406, 585, 1644, 3584, 269, 0, 258, 1403, 513, 815, 256, 536, 692, 1012, 14581, 15048, 692, 6533, 1018, 616, 519, 4238, 602, 2226, 519, 32389, 543, 1018, 616, 519, 4238, 602, 1810, 1405, 2496, 1012, 634, 28055, 693, 513, 8827, 692, 2193, 8765, 1840, 543, 12408, 15387, 621, 2073, 663, 865, 1281, 8691, 543, 6498, 676, 1022, 1297, 824, 982, 4642, 269, 849, 2921, 1022, 1875, 14706, 20800, 4849, 1651, 848, 2338, 513, 543, 910, 320, 454, 322, 1021, 513, 11203, 268, 320, 855, 513, 317, 16838, 815, 11196, 320, 8203, 16838, 543, 519, 4642, 525, 855, 1018, 827, 519, 17969, 916, 888, 273, 815, 256, 910, 273, 855, 666, 649, 2161, 602, 23692, 8987, 273, 264, 815, 256, 23692, 263, 273, 264, 594, 1611, 2094, 972, 568, 1100, 971, 3364, 607, 23692, 8987, 273, 264, 666, 649, 711, 3160, 1125, 1945, 649, 1810, 1405, 917, 286, 543, 1018, 616, 519, 824, 4238, 602, 594, 29709, 547, 2446, 602, 2226, 610, 21645, 2226, 519, 8635, 692, 20112, 16588, 454, 2193, 8765, 1840, 543, 12408, 15387, 621, 2073, 663, 865, 1281, 8691, 543, 6498, 676, 1022, 1297, 824, 982, 4642, 780, 6701, 596, 2386, 286, 1284, 917, 454, 273, 3436, 476, 272, 454, 3086, 9062, 610, 7941, 1312, 5011, 676, 910, 272, 269, 6496, 519, 8635, 3180, 1869, 2496, 328, 993, 711, 6158, 827, 3436, 610, 2999, 594, 993, 6158, 827, 815, 2336, 273, 815, 256, 476, 272, 454, 268, 273, 815, 256, 910, 272, 454, 13433, 602, 6585, 692, 20112, 16588, 454, 302, 330, 267, 29144, 269, 1684, 596, 917, 827, 476, 272, 3562, 268, 272, 3252, 2496, 7224, 594, 1810, 1405, 1256, 917, 875, 547, 7157, 1224, 602, 13718, 20112, 16588, 454, 17764, 267, 1134, 596, 666, 1413, 1934, 5291, 2517, 523, 25769, 3820, 28293, 270, 3080, 3562, 14633, 269, 898, 814, 513, 2603, 540, 10083, 547, 519, 1966, 267, 594, 1589, 269, 6056, 827, 3252, 602, 616, 711, 476, 272, 3562, 268, 272, 899, 5609, 543, 5430, 543, 1535, 317, 273, 3379, 547, 3283, 602, 616, 899, 552, 28682, 267, 1535, 317, 274, 543, 818, 551, 534, 692, 810, 596, 616, 31552, 602, 952, 535, 568, 769, 11187, 1287, 952, 513, 815, 256, 536, 2073, 535, 5416, 264, 815, 256, 535, 6357, 264, 855, 952, 621, 3884, 1405, 7630, 633, 1287, 972, 1522, 581, 581, 2338, 513, 14720, 1141, 513, 815, 256, 536, 855, 535, 5416, 6661, 325, 6357, 264, 2496, 20112, 16588, 454, 2791, 3893, 621, 4849, 602, 621, 3884, 1405, 1175, 602, 972, 1522, 581, 2338, 513, 14720, 1141, 513, 815, 256, 536, 855, 535, 5416, 6661, 325, 6357, 264, 950, 535, 3884, 1405, 7630, 633, 267, 972, 9090, 616, 780, 2129, 594, 1294, 7064, 855, 666, 596, 948, 803, 538, 519, 30233, 851, 540, 2436, 649, 666, 2161, 982, 23692, 263, 273, 264, 4959, 711, 3160, 547, 23692, 8987, 273, 264, 1256, 952, 649, 21645, 917, 1018, 23692, 8987, 273, 264, 568, 2496, 20112, 16588, 454, 2791, 991, 547, 1039, 1776, 10421, 602, 519, 6389, 540, 519, 1599, 2115, 547, 1331, 782, 519, 4847, 2338, 780, 20112, 16588, 454, 2330, 15238, 8987, 273, 264, 815, 23692, 8987, 272, 264, 1341, 23692, 263, 273, 264, 815, 630, 273, 330, 266, 272, 264, 1775, 1422, 7032, 1341, 23692, 263, 273, 1070, 737, 315, 22668, 1422, 13992, 346, 301, 15732, 1607, 568, 267, 540, 1576, 267, 952, 596, 1450, 1950, 2338, 780, 20112, 16588, 454, 7212, 602, 814, 621, 781, 1378, 2042, 543, 23692, 3287, 264, 568, 2356, 11658, 547, 519, 1483, 2338, 269, 769, 519, 1950, 2013, 1169, 1297, 814, 28222, 1082, 17969, 916, 267, 543, 519, 834, 1440, 4532, 2118, 1871, 257, 540, 519, 30233, 568, 2356, 20922, 454, 11377, 3667, 346, 19868, 12917, 345, 14638, 454, 5976, 513, 1698, 20738, 700, 269, 0, 1012, 18918, 12924, 25876, 6390, 4569, 476, 274, 6113, 6103, 21602, 476, 278, 7689, 476, 1240, 8382, 6206, 692, 2162, 25876, 6390, 4569, 6103, 476, 274, 21602, 476, 278, 7689, 476, 1240, 9046, 5590, 8382, 6206, 692, 9223, 476, 272, 563, 8196, 1770, 10945, 547, 1628, 607, 1082, 25965, 607, 596, 666, 609, 606, 1858, 540, 476, 2190, 4009, 4559, 269, 1744, 1228, 538, 10945, 593, 707, 7470, 1957, 547, 2099, 1142, 13551, 602, 596, 1500, 609, 606, 1858, 540, 476, 2190, 4009, 4559, 563, 320, 269, 6480, 1493, 547, 2721, 543, 6003, 519, 2427, 13080, 540, 1142, 13551, 596, 3710, 538, 9046, 476, 272, 269, 3973, 267, 1265, 519, 15943, 540, 1142, 13551, 269, 2290, 13551, 568, 2944, 585, 596, 780, 303, 815, 476, 2190, 4559, 1341, 476, 272, 1770, 1341, 476, 2190, 4559, 1341, 476, 272, 1770, 815, 476, 2004, 4559, 454, 321, 269, 634, 2127, 540, 519, 25965, 538, 851, 630, 320, 264, 1657, 616, 782, 519, 1482, 269, 1548, 798, 596, 5469, 827, 519, 829, 12281, 888, 320, 269, 32309, 540, 13235, 291, 13551, 815, 476, 2420, 28493, 563, 8110, 9014, 540, 31246, 21203, 13551, 815, 476, 2764, 28493, 563, 8110, 9014, 540, 594, 297, 298, 299, 13551, 815, 476, 736, 28493, 780, 321, 269, 2353, 25965, 6537, 538, 519, 1657, 272, 18502, 616, 711, 519, 1482, 521, 3660, 5515, 269, 1358, 616, 711, 2348, 1482, 829, 12281, 1317, 741, 13080, 616, 1114, 3379, 547, 835, 1776, 780, 15008, 912, 320, 780, 8110, 9014, 540, 13235, 291, 13551, 815, 1109, 17121, 1341, 17121, 1341, 17121, 1341, 17121, 454, 284, 9474, 1341, 7460, 1341, 7131, 1341, 21096, 454, 284, 476, 279, 28493, 1341, 476, 274, 28493, 1341, 476, 279, 28493, 1341, 476, 274, 28493, 454, 284, 476, 1556, 28493, 1341, 476, 279, 28493, 1341, 476, 274, 28493, 454, 284, 476, 866, 28493, 1341, 476, 274, 28493, 454, 284, 476, 2420, 28493, 563, 8110, 9014, 540, 31246, 21203, 13551, 815, 17121, 1341, 17121, 1341, 17121, 1341, 17121, 454, 284, 31246, 1341, 674, 294, 1341, 23435, 1341, 16777, 454, 284, 476, 1321, 28493, 1341, 476, 273, 28493, 1341, 476, 1321, 28493, 1341, 476, 273, 28493, 454, 284, 476, 1691, 28493, 1341, 476, 1321, 28493, 1341, 476, 273, 28493, 454, 284, 476, 2918, 28493, 1341, 476, 273, 28493, 454, 284, 476, 2764, 28493, 563, 8110, 9014, 540, 594, 297, 298, 299, 13551, 815, 17121, 1341, 17121, 1341, 17121, 1341, 17121, 454, 284, 594, 297, 1341, 808, 298, 1341, 918, 299, 1341, 918, 296, 454, 284, 476, 277, 28493, 1341, 476, 275, 4559, 1341, 476, 277, 28493, 1341, 476, 275, 4559, 454, 284, 476, 1015, 28493, 1341, 476, 277, 28493, 1341, 476, 275, 28493, 454, 284, 476, 1626, 28493, 1341, 476, 275, 28493, 454, 284, 476, 736, 28493, 780, 321, 269, 2353, 25965, 6537, 538, 519, 1657, 476, 272, 320, 616, 711, 519, 1482, 5515, 269, 1358, 616, 711, 2348, 1482, 829, 12281, 780, 9223, 476, 273, 563, 8196, 1770, 4009, 17981, 547, 1628, 607, 1082, 25965, 607, 596, 666, 609, 606, 1858, 540, 476, 1626, 4009, 4559, 269, 6480, 1493, 547, 2721, 1142, 13551, 2630, 269, 22443, 519, 2427, 13080, 563, 320, 269, 4855, 519, 829, 12281, 540, 519, 25965, 596, 3710, 563, 321, 269, 1548, 568, 519, 15943, 540, 519, 4009, 286, 11512, 875, 596, 1336, 707, 2626, 563, 320, 269, 32309, 540, 20525, 304, 305, 25351, 4120, 815, 476, 1691, 28493, 563, 8110, 9014, 540, 31246, 21203, 25351, 4120, 815, 476, 4097, 28493, 780, 321, 269, 32309, 540, 13235, 291, 12384, 284, 476, 1626, 28493, 269, 1306, 267, 519, 5011, 538, 513, 4009, 616, 3160, 267, 649, 666, 2789, 519, 1297, 540, 5011, 883, 519, 2427, 1871, 547, 1205, 519, 32309, 540, 4009, 3079, 540, 4946, 873, 14384, 780, 15008, 912, 320, 780, 8110, 9014, 540, 20525, 304, 305, 25351, 4120, 815, 17121, 1341, 17121, 1341, 17121, 1341, 17121, 454, 284, 20525, 1341, 623, 304, 1341, 30040, 1341, 21614, 454, 284, 476, 276, 28493, 1341, 476, 273, 28493, 1341, 476, 276, 28493, 1341, 476, 273, 28493, 454, 284, 476, 278, 28493, 1341, 476, 276, 28493, 1341, 476, 273, 28493, 454, 284, 476, 1321, 28493, 1341, 476, 273, 28493, 454, 284, 476, 1691, 28493, 563, 8110, 9014, 540, 31246, 21203, 25351, 4120, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6904, 4436, 4975, 568, 1753, 547, 519, 22071, 540, 519, 5292, 802, 342, 10402, 1286, 10672, 888, 12585, 281, 737, 4206, 26684, 339, 0, 9223, 281, 6904, 1655, 6257, 1946, 12798, 693, 519, 11824, 1689, 4287, 1063, 1554, 543, 3781, 888, 12585, 281, 1317, 519, 5210, 936, 2244, 543, 936, 1216, 1689, 0, 9223, 281, 1306, 14038, 267, 596, 723, 1082, 9909, 269, 1452, 9909, 666, 581, 1360, 2462, 267, 971, 607, 10888, 519, 17587, 15356, 267, 610, 789, 666, 581, 1507, 269, 1411, 949, 1175, 1616, 547, 1831, 835, 540, 519, 4557, 1655, 1053, 538, 707, 1362, 269, 4495, 596, 1265, 513, 5326, 267, 1018, 798, 596, 798, 609, 621, 286, 1684, 596, 2479, 2119, 547, 1118, 707, 5326, 1483, 286, 7427, 2659, 9839, 676, 8241, 5856, 12448, 4223, 1492, 9749, 6645, 721, 602, 1818, 938, 9909, 1483, 568, 1272, 781, 7887, 9041, 476, 1411, 949, 1589, 596, 2811, 711, 1360, 1434, 693, 930, 1153, 5396, 267, 610, 602, 621, 568, 7543, 585, 596, 547, 1831, 513, 5856, 269, 1452, 5686, 540, 4555, 3247, 596, 689, 3478, 707, 5326, 267, 519, 1433, 3081, 269, 769, 1249, 267, 3025, 666, 1118, 1010, 5326, 2097, 3020, 269, 634, 1101, 3364, 596, 1590, 798, 568, 547, 3314, 1018, 707, 5326, 568, 269, 5213, 1405, 1577, 621, 4734, 707, 2295, 269, 5901, 10213, 3054, 1018, 596, 1616, 269, 1684, 713, 1900, 676, 1900, 543, 707, 5326, 786, 2097, 3020, 5488, 1317, 513, 2462, 5326, 568, 267, 538, 1249, 267, 1082, 1507, 9909, 269, 1411, 1590, 849, 2760, 2285, 909, 707, 5326, 269, 1703, 786, 581, 7965, 593, 519, 4155, 547, 707, 9909, 269, 1809, 519, 7887, 7411, 2501, 689, 3054, 269, 1411, 991, 547, 6430, 1018, 568, 519, 1034, 1271, 269, 24356, 3079, 540, 8384, 7641, 786, 1291, 547, 1732, 981, 2164, 267, 1247, 9494, 2947, 586, 10224, 3079, 540, 9140, 606, 4672, 8645, 1797, 596, 666, 4444, 513, 1007, 1433, 269, 1306, 596, 1205, 6251, 547, 707, 5326, 267, 621, 949, 1689, 513, 2370, 269, 901, 568, 1434, 607, 596, 723, 519, 4960, 547, 1451, 811, 1983, 543, 1265, 1007, 4690, 269, 2073, 11783, 630, 276, 267, 273, 267, 1015, 264, 1403, 596, 1616, 547, 1118, 707, 5326, 1483, 267, 596, 1058, 476, 9041, 476, 4586, 288, 269, 3314, 1018, 707, 5326, 568, 454, 289, 269, 1832, 10213, 3054, 1018, 596, 1616, 454, 290, 269, 2760, 581, 12922, 540, 7965, 454, 291, 269, 2119, 547, 1376, 609, 782, 519, 1919, 1657, 454, 12585, 281, 667, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 15265, 14328, 13711, 12285, 11381, 834, 536, 834, 12285, 13711, 15265, 14328, 11381, 834, 15017, 288, 281, 513, 0, 9223, 281, 1548, 666, 594, 946, 547, 1404, 2575, 593, 454, 12585, 281, 670, 809, 909, 707, 6049, 547, 513, 10584, 543, 1404, 621, 0, 10890, 281, 1215, 547, 2061, 3819, 669, 11474, 17534, 269, 2422, 9067, 2545, 332, 269, 15233, 513, 9067, 2545, 332, 547, 3895, 7067, 543, 2061, 669, 11474, 17534, 269, 26100, 2545, 332, 849, 2337, 547, 13021, 538, 7509, 543, 2149, 707, 17534, 689, 3544, 8886, 725, 269, 476, 15233, 9067, 2545, 332, 1169, 5662, 610, 1079, 547, 1521, 3819, 17534, 543, 547, 1832, 873, 2635, 269, 2422, 2545, 332, 609, 838, 325, 540, 693, 2547, 476, 1626, 547, 4688, 707, 17534, 689, 3141, 3441, 269, 0, 9223, 281, 1306, 513, 7911, 267, 9995, 619, 729, 1454, 6766, 676, 2835, 827, 519, 4262, 267, 855, 676, 519, 2085, 540, 19939, 646, 1185, 4956, 547, 1831, 513, 4387, 2864, 982, 513, 13743, 528, 269, 3571, 4651, 729, 513, 4387, 269, 1924, 646, 729, 1419, 609, 519, 7189, 543, 3893, 2059, 1360, 1134, 609, 873, 269, 1879, 646, 729, 27552, 267, 646, 729, 2907, 16304, 1472, 519, 6413, 1141, 646, 729, 9277, 547, 581, 4543, 547, 2973, 519, 4915, 14569, 267, 855, 729, 2965, 3843, 547, 6432, 547, 519, 7189, 262, 7391, 609, 2550, 538, 519, 1985, 4055, 269, 4438, 519, 2112, 9995, 619, 6039, 538, 519, 7952, 607, 513, 18874, 1547, 834, 6546, 729, 519, 1838, 5006, 942, 540, 1250, 1272, 269, 594, 729, 7231, 609, 1483, 24412, 543, 593, 519, 2898, 1818, 513, 1967, 540, 1250, 2816, 1701, 769, 10910, 3941, 646, 6026, 519, 2197, 1004, 2241, 5013, 827, 4915, 269, 1261, 4718, 5128, 607, 513, 1272, 1606, 11232, 269, 1261, 1185, 9863, 1010, 5578, 547, 5128, 543, 1185, 513, 6109, 3661, 602, 646, 1223, 4196, 1346, 945, 5030, 3274, 267, 543, 941, 8200, 2390, 1864, 269, 4935, 267, 1247, 538, 513, 2990, 547, 2995, 873, 1018, 547, 798, 646, 1223, 1745, 646, 729, 7674, 873, 269, 2991, 519, 2112, 267, 646, 9310, 543, 1305, 909, 513, 2259, 2620, 538, 519, 24781, 267, 2324, 896, 606, 2025, 4387, 945, 554, 730, 519, 8289, 540, 1973, 269, 901, 5795, 519, 7820, 812, 7899, 540, 3255, 547, 979, 593, 2324, 607, 513, 1272, 1606, 11232, 269, 1879, 646, 729, 513, 1507, 7911, 267, 590, 6387, 729, 6766, 676, 2835, 827, 567, 9041, 476, 4586, 288, 269, 519, 6413, 454, 289, 269, 519, 2112, 454, 290, 269, 519, 4262, 454, 291, 269, 519, 24781, 454, 12585, 281, 595, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4009, 4189, 2895, 24191, 12285, 10538, 6928, 834, 536, 834, 2895, 24191, 4009, 10538, 12285, 4189, 6928, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 1280, 799, 540, 891, 1079, 7653, 1281, 519, 1292, 1915, 630, 15367, 3096, 594, 270, 1889, 270, 3240, 264, 798, 1945, 5693, 25432, 4636, 267, 2687, 547, 8723, 5837, 4441, 538, 519, 2475, 607, 540, 476, 1708, 271, 286, 31950, 9222, 476, 272, 1923, 594, 4956, 547, 3434, 513, 15837, 585, 1250, 8004, 23136, 269, 31950, 9222, 476, 273, 1923, 594, 8970, 1229, 519, 3731, 16550, 621, 547, 979, 3544, 454, 288, 269, 654, 3994, 267, 654, 3994, 454, 289, 269, 654, 3994, 267, 3502, 4636, 454, 290, 269, 3502, 4636, 267, 654, 3994, 454, 291, 269, 3502, 4636, 267, 3502, 4636, 454, 12585, 281, 667, 0, 9223, 281, 570, 14241, 10878, 543, 2659, 16508, 2657, 769, 12465, 4457, 6925, 519, 1560, 267, 2247, 543, 6891, 3112, 581, 5258, 543, 865, 519, 2189, 2898, 23073, 2126, 538, 570, 14241, 10878, 666, 849, 581, 513, 3730, 2126, 31925, 1022, 20817, 538, 519, 1560, 781, 1648, 1354, 2589, 543, 2068, 666, 1020, 269, 898, 849, 1568, 547, 11177, 3929, 10103, 607, 1134, 607, 2168, 1072, 269, 901, 568, 1946, 1310, 513, 570, 14241, 10878, 2126, 1082, 1004, 834, 10623, 601, 1434, 2668, 3509, 1004, 538, 3624, 946, 570, 14241, 10878, 5781, 547, 1832, 2635, 543, 547, 4308, 609, 930, 1808, 10108, 269, 570, 14241, 10878, 568, 5340, 593, 519, 8052, 1117, 1560, 543, 519, 3461, 568, 2901, 14084, 593, 513, 4172, 577, 610, 9361, 593, 513, 11381, 269, 26935, 1235, 1210, 513, 3099, 540, 18116, 610, 5322, 786, 1852, 519, 8515, 543, 4287, 540, 2604, 538, 606, 3169, 1259, 269, 634, 2189, 12902, 3350, 538, 570, 14241, 10878, 568, 835, 540, 519, 1034, 2352, 18116, 547, 1451, 543, 1053, 723, 547, 2259, 3006, 585, 1082, 3275, 593, 513, 7573, 9126, 1354, 789, 616, 4847, 547, 2259, 593, 519, 1480, 1560, 269, 13262, 570, 14241, 10878, 568, 540, 1576, 1360, 3730, 585, 8156, 2566, 269, 898, 2733, 2373, 519, 1648, 1472, 519, 2898, 1560, 269, 898, 568, 5156, 602, 570, 14241, 10878, 7575, 519, 2178, 1648, 538, 519, 13029, 6091, 547, 519, 21260, 2127, 267, 3976, 1818, 513, 811, 7059, 1560, 269, 1879, 707, 1627, 328, 630, 24479, 538, 519, 1560, 264, 2095, 568, 7059, 596, 1745, 17159, 543, 6899, 269, 476, 570, 14241, 10878, 568, 2523, 3730, 585, 13888, 17525, 543, 13029, 8405, 6091, 269, 30248, 769, 12465, 4457, 6925, 1142, 2101, 1418, 568, 5532, 547, 606, 7553, 269, 1635, 13326, 519, 1648, 538, 519, 1418, 267, 519, 4143, 7553, 786, 581, 1608, 4364, 269, 1879, 707, 4664, 616, 856, 540, 1852, 267, 596, 1131, 2356, 2490, 547, 707, 4387, 610, 5310, 513, 2618, 6139, 1905, 626, 269, 1809, 5310, 930, 1004, 1131, 711, 899, 547, 581, 7487, 513, 2618, 6139, 1905, 626, 610, 1745, 8401, 827, 7234, 741, 2042, 609, 1866, 269, 2060, 570, 14241, 10878, 835, 1281, 711, 991, 547, 2995, 519, 13309, 4376, 835, 1281, 711, 1616, 547, 269, 634, 2126, 540, 570, 14241, 10878, 666, 4308, 609, 519, 1966, 3294, 4534, 4352, 952, 835, 1281, 991, 547, 2911, 267, 1287, 519, 2922, 2230, 568, 972, 547, 798, 865, 269, 1323, 3742, 5188, 1063, 519, 13309, 543, 519, 3461, 786, 948, 547, 1205, 513, 1732, 1198, 269, 1215, 519, 2101, 8219, 4341, 707, 4664, 3962, 2101, 1418, 4534, 519, 2295, 267, 519, 7181, 267, 519, 838, 22220, 267, 519, 6797, 267, 519, 15485, 267, 519, 14401, 267, 519, 9641, 267, 3092, 269, 4534, 568, 5532, 547, 513, 4143, 7553, 269, 634, 2295, 568, 5532, 547, 7772, 267, 10761, 543, 18354, 269, 1403, 519, 2295, 568, 856, 540, 3666, 267, 519, 3461, 949, 5326, 513, 2603, 693, 3781, 543, 1419, 7340, 1945, 1271, 538, 519, 1554, 269, 634, 7181, 543, 838, 22220, 616, 4448, 609, 1932, 1454, 3206, 610, 20468, 4534, 936, 4160, 269, 1879, 519, 7181, 568, 856, 540, 3666, 972, 568, 1419, 513, 3668, 540, 1648, 269, 634, 3461, 1419, 7959, 1360, 13110, 543, 814, 1100, 1719, 538, 3257, 4376, 693, 782, 269, 634, 6797, 543, 7086, 15485, 616, 5532, 547, 10845, 269, 769, 4457, 6925, 519, 4064, 616, 4448, 609, 519, 6797, 267, 543, 1082, 1004, 945, 7985, 689, 10845, 1419, 7985, 689, 3750, 2042, 269, 634, 7086, 15485, 3652, 3375, 6194, 543, 1932, 1454, 1648, 1934, 666, 1291, 547, 16420, 1145, 267, 1247, 952, 972, 568, 1932, 2370, 621, 666, 3142, 827, 967, 1815, 1707, 269, 7316, 972, 568, 513, 1686, 540, 4965, 267, 519, 13309, 1131, 1413, 547, 519, 6797, 269, 634, 15485, 543, 14401, 616, 5532, 547, 4250, 540, 782, 5686, 267, 689, 2241, 32370, 543, 943, 984, 5362, 547, 22394, 12194, 543, 19048, 269, 634, 9641, 616, 4448, 609, 4606, 540, 16236, 543, 18354, 269, 1879, 972, 568, 513, 1686, 540, 16236, 267, 519, 13309, 1131, 1413, 547, 519, 9641, 269, 570, 14241, 10878, 568, 1031, 538, 3592, 782, 519, 10506, 538, 3624, 543, 1360, 2442, 1851, 4457, 1004, 269, 898, 568, 513, 3730, 543, 3407, 1505, 540, 19620, 1627, 328, 3666, 267, 950, 3929, 543, 2168, 1072, 568, 856, 540, 3666, 269, 570, 14241, 10878, 568, 835, 540, 519, 6967, 11580, 540, 4457, 6925, 269, 1215, 666, 519, 7553, 581, 1608, 4364, 888, 288, 269, 1635, 16046, 519, 1418, 547, 606, 7553, 563, 289, 269, 1635, 10213, 519, 13309, 4376, 835, 1281, 711, 1616, 547, 563, 290, 269, 1635, 7234, 741, 2042, 609, 1866, 563, 291, 269, 1635, 13326, 519, 1648, 538, 519, 4143, 1418, 563, 12585, 281, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 267, 476, 272, 269, 271, 1315, 476, 274, 269, 271, 267, 476, 272, 269, 271, 1315, 476, 274, 269, 271, 16689, 2018, 23378, 1038, 12467, 825, 15426, 31596, 4590, 825, 7682, 605, 2125, 269, 526, 574, 2652, 476, 272, 454, 825, 7682, 568, 318, 29148, 263, 2889, 2125, 314, 273, 3910, 476, 273, 269, 271, 994, 825, 7682, 605, 2125, 314, 274, 316, 3436, 476, 1911, 269, 271, 692, 825, 1948, 1656, 2327, 3732, 3897, 338, 616, 2953, 454, 825, 5439, 815, 1253, 4732, 2217, 4590, 825, 7682, 568, 27349, 4433, 3263, 267, 23290, 11053, 16428, 994, 825, 7682, 5439, 269, 526, 574, 2652, 476, 273, 454, 825, 7682, 5439, 17482, 314, 271, 316, 2652, 476, 275, 454, 825, 7682, 5439, 17482, 314, 272, 316, 2652, 476, 274, 454, 825, 5439, 815, 1253, 4732, 2217, 263, 1015, 994, 825, 7682, 568, 27349, 4433, 3263, 267, 23290, 11053, 16428, 994, 825, 7682, 5439, 269, 526, 574, 2652, 476, 274, 454, 825, 7682, 5439, 17482, 314, 271, 316, 2652, 476, 1015, 454, 825, 7682, 5439, 17482, 314, 272, 316, 2652, 476, 275, 454, 825, 7682, 5439, 17482, 314, 273, 316, 2652, 476, 274, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 844, 5593, 2370, 4884, 540, 4024, 578, 15842, 758, 267, 972, 729, 513, 3446, 1153, 1141, 782, 519, 3214, 1131, 7249, 26021, 585, 741, 3232, 4245, 269, 7324, 873, 729, 513, 6505, 31991, 8004, 3957, 21667, 945, 2141, 8604, 8049, 827, 519, 1158, 1472, 1200, 269, 2290, 1554, 267, 1282, 12424, 267, 1352, 14059, 1200, 3659, 8861, 593, 519, 19209, 267, 27278, 676, 513, 6643, 1352, 1185, 16841, 4505, 602, 6640, 780, 299, 1075, 344, 4280, 267, 834, 27880, 267, 594, 4862, 596, 2161, 1945, 4277, 2221, 1107, 602, 8695, 723, 1412, 1723, 582, 625, 9538, 1548, 1705, 596, 1611, 676, 602, 12482, 288, 1025, 2313, 1212, 696, 909, 8861, 781, 1750, 4060, 267, 543, 1352, 11688, 18469, 1354, 16460, 267, 834, 11039, 267, 950, 594, 1767, 602, 8695, 723, 1071, 582, 625, 267, 594, 5921, 621, 607, 513, 24983, 1862, 4990, 540, 3010, 303, 340, 3960, 1194, 267, 21667, 14452, 267, 834, 3719, 1018, 1281, 2348, 1071, 582, 625, 1256, 1611, 286, 1772, 621, 1483, 610, 1175, 1118, 1532, 601, 10079, 12482, 18600, 1944, 602, 1352, 1522, 723, 17275, 930, 10539, 1851, 1200, 2828, 267, 8861, 4956, 621, 729, 1655, 547, 2491, 519, 2898, 3364, 5265, 269, 2991, 12424, 267, 1352, 10356, 1200, 15032, 543, 3459, 10213, 873, 519, 9661, 540, 875, 1352, 4121, 827, 1071, 582, 625, 780, 9515, 6045, 267, 834, 296, 3314, 2063, 4832, 267, 1250, 4587, 23013, 14667, 5143, 803, 827, 891, 15865, 12961, 1572, 1412, 1723, 582, 625, 262, 602, 1152, 8695, 1223, 4163, 269, 4340, 547, 1200, 267, 952, 513, 7911, 18953, 596, 610, 8843, 1010, 1919, 609, 596, 267, 1346, 1071, 582, 625, 786, 3262, 547, 596, 1932, 256, 1656, 1287, 3025, 786, 917, 596, 4312, 9575, 7911, 1071, 582, 625, 15323, 294, 553, 1186, 16079, 539, 2429, 519, 4055, 267, 4553, 676, 17254, 326, 956, 543, 26866, 619, 1063, 2828, 269, 898, 2968, 10423, 602, 8861, 7012, 1405, 4805, 282, 1896, 6690, 21330, 2059, 609, 1200, 1913, 267, 16153, 1154, 602, 789, 1932, 5156, 538, 519, 6228, 540, 7911, 1071, 582, 625, 780, 8450, 532, 1200, 4960, 267, 21667, 954, 915, 539, 267, 834, 3719, 8861, 267, 649, 1451, 865, 1454, 1934, 538, 938, 4928, 1169, 1554, 269, 1284, 917, 602, 17900, 2014, 3676, 267, 855, 1100, 4116, 2479, 5018, 4376, 827, 1071, 582, 625, 269, 9320, 707, 23013, 3893, 11821, 12482, 300, 1638, 532, 936, 21667, 781, 19583, 267, 8861, 7948, 1405, 948, 855, 4898, 2436, 1200, 23013, 1185, 1500, 513, 12161, 269, 2334, 10543, 267, 1352, 6743, 909, 519, 2262, 834, 1723, 582, 773, 257, 2228, 543, 4362, 602, 21667, 729, 1318, 269, 595, 2393, 625, 941, 8197, 2808, 16995, 17900, 2813, 676, 1453, 547, 17854, 741, 9636, 1472, 519, 6587, 4008, 269, 20331, 609, 16012, 1702, 267, 8861, 8120, 547, 1153, 11235, 547, 2671, 1200, 4681, 780, 2026, 4166, 607, 1352, 15336, 883, 519, 4928, 267, 1352, 8068, 602, 519, 5790, 5433, 1114, 982, 8912, 269, 27258, 2893, 14384, 689, 6690, 267, 16213, 521, 573, 13717, 1350, 1734, 4904, 609, 27421, 2509, 1142, 824, 269, 8861, 6785, 14678, 602, 1352, 2877, 547, 2232, 713, 3390, 2212, 6823, 780, 26244, 2358, 1200, 1688, 543, 31392, 10479, 547, 3717, 267, 1352, 9619, 1200, 3003, 1362, 269, 2060, 513, 5462, 1413, 538, 1200, 4064, 267, 1352, 10294, 267, 834, 12218, 267, 1310, 3257, 930, 1382, 267, 594, 1336, 856, 602, 1071, 582, 625, 5749, 1405, 1483, 269, 1358, 1810, 1405, 2291, 269, 1284, 12582, 1405, 1577, 25064, 2984, 3247, 721, 689, 1373, 7874, 609, 1004, 267, 7488, 540, 2436, 789, 2811, 513, 7911, 610, 513, 8004, 3010, 15463, 23318, 3361, 9597, 332, 2720, 10838, 519, 1053, 267, 5555, 3056, 547, 9602, 7391, 1063, 5449, 30347, 269, 3683, 942, 267, 519, 17478, 1369, 519, 4928, 26632, 730, 267, 3850, 9758, 4296, 547, 1106, 1063, 2043, 1759, 593, 8994, 4690, 2864, 982, 1666, 6804, 12194, 780, 32701, 267, 24790, 540, 519, 1071, 582, 773, 7242, 7283, 538, 1978, 10580, 269, 1280, 1383, 267, 1079, 7820, 8695, 3957, 15207, 543, 16092, 4797, 1210, 519, 2165, 795, 3183, 569, 8164, 2576, 6700, 4687, 9162, 610, 4730, 1927, 269, 1717, 267, 3079, 540, 4929, 11605, 267, 741, 1884, 923, 4547, 17409, 547, 741, 9905, 267, 15202, 10343, 5103, 29886, 11475, 780, 3080, 12784, 267, 1247, 8384, 1866, 2972, 2933, 1510, 1022, 7805, 6161, 827, 1071, 582, 625, 267, 15207, 5828, 547, 16092, 543, 26866, 1229, 267, 834, 2791, 917, 1018, 286, 19457, 8631, 3884, 1405, 865, 3983, 1310, 782, 269, 14755, 267, 6148, 14693, 267, 950, 649, 2811, 2462, 2614, 267, 649, 4465, 1405, 991, 547, 5855, 827, 20414, 16494, 12961, 15042, 3010, 297, 600, 773, 1989, 514, 2740, 3765, 2151, 341, 3585, 267, 1065, 2391, 267, 834, 31800, 1695, 267, 543, 4952, 782, 519, 1187, 649, 3513, 4413, 856, 593, 2394, 1287, 256, 3143, 7064, 267, 812, 269, 594, 9364, 2864, 1832, 11981, 8885, 1631, 15323, 1103, 3932, 267, 4352, 8861, 781, 3661, 538, 1071, 582, 625, 7620, 6565, 4364, 689, 25749, 267, 621, 3366, 547, 513, 3407, 3992, 585, 9887, 543, 1200, 8284, 15032, 269, 1635, 6313, 1200, 10054, 9691, 267, 15819, 741, 8129, 267, 543, 5275, 5168, 995, 4267, 267, 1352, 13087, 1200, 2146, 547, 1332, 6251, 1927, 267, 5807, 1620, 543, 6568, 1851, 782, 25469, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 9223, 281, 9741, 521, 23022, 4769, 1405, 1589, 602, 4896, 1058, 581, 21098, 532, 8695, 269, 476, 2701, 2219, 602, 8695, 1185, 1018, 286, 18169, 281, 910, 26901, 531, 910, 2068, 910, 6653, 910, 10300, 520, 2670, 910, 1071, 582, 625, 476, 11512, 1946, 513, 1480, 1131, 3442, 834, 1723, 582, 625, 257, 547, 2626, 519, 2243, 1657, 912, 763, 2626, 547, 713, 2243, 568, 912, 257, 290, 2393, 625, 5016, 763, 3903, 540, 834, 1723, 582, 625, 257, 607, 519, 2626, 547, 713, 2243, 11710, 689, 513, 15520, 3824, 11712, 10206, 602, 814, 1419, 1044, 1031, 676, 1453, 547, 2769, 741, 3355, 513, 11437, 547, 519, 6587, 4008, 269, 1677, 1174, 1946, 513, 1480, 1131, 3442, 834, 1723, 582, 625, 257, 936, 519, 824, 3681, 267, 621, 568, 1898, 547, 2263, 519, 1523, 540, 1071, 582, 625, 267, 922, 2686, 4644, 267, 543, 922, 4276, 547, 519, 14820, 540, 513, 1762, 1126, 899, 9741, 8861, 780, 290, 2393, 625, 616, 606, 16494, 267, 14070, 10351, 602, 1453, 3494, 789, 666, 6952, 689, 2818, 540, 519, 6587, 3023, 269, 634, 2856, 540, 1071, 582, 625, 814, 1044, 11342, 538, 1082, 4529, 267, 3226, 538, 519, 2136, 2276, 543, 824, 2296, 18702, 2477, 269, 634, 5169, 540, 519, 2165, 834, 1723, 582, 625, 257, 666, 581, 14360, 1394, 547, 2622, 2782, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 11879, 5811, 540, 24114, 998, 8466, 30776, 910, 589, 8865, 5530, 585, 3778, 4065, 8889, 543, 21637, 692, 1103, 4974, 1686, 267, 621, 781, 1898, 547, 1935, 3964, 6386, 9691, 543, 2243, 741, 5817, 10054, 269, 901, 1576, 1770, 786, 5490, 883, 519, 3345, 9533, 15521, 9257, 630, 2793, 15674, 1070, 799, 729, 8547, 538, 476, 3707, 280, 896, 519, 840, 3667, 540, 7104, 8878, 1282, 519, 12019, 2782, 5736, 269, 1635, 6313, 3140, 2796, 267, 2797, 18144, 267, 543, 4207, 10083, 267, 596, 786, 2263, 875, 519, 3919, 7960, 2094, 922, 10661, 543, 2708, 952, 922, 3312, 3483, 3788, 4570, 2221, 269, 3414, 713, 2013, 1353, 267, 596, 786, 1451, 2409, 540, 3450, 1686, 2069, 3609, 543, 6963, 676, 5807, 2565, 3206, 1983, 1851, 707, 1053, 780, 296, 269, 26787, 12745, 281, 4197, 24114, 781, 5853, 532, 14362, 454, 288, 269, 19606, 540, 24114, 454, 453, 272, 269, 5403, 28131, 2782, 4083, 23786, 2916, 454, 453, 273, 269, 8168, 5742, 781, 7269, 626, 4507, 454, 453, 274, 269, 21824, 540, 4004, 1143, 10825, 2066, 2342, 454, 289, 269, 19725, 540, 519, 19137, 454, 453, 272, 269, 15080, 540, 15716, 454, 453, 273, 269, 11814, 633, 16470, 20232, 630, 20684, 966, 994, 290, 269, 7216, 12694, 543, 11154, 725, 454, 453, 272, 269, 11114, 2782, 543, 5125, 556, 1301, 3512, 454, 453, 273, 269, 1546, 3712, 517, 1436, 543, 4657, 2518, 6384, 692, 2862, 269, 7726, 532, 2667, 636, 6877, 281, 22718, 31666, 7701, 5288, 269, 21929, 13458, 3194, 454, 288, 269, 6301, 6894, 21931, 543, 31666, 7701, 454, 453, 272, 269, 4347, 2056, 9111, 1996, 2698, 9107, 20816, 454, 453, 273, 269, 26472, 6617, 543, 3354, 11451, 454, 289, 269, 21929, 13458, 3194, 5811, 454, 453, 272, 269, 24167, 1379, 3889, 543, 24816, 454, 453, 273, 269, 28518, 4108, 7459, 543, 1480, 3790, 454, 290, 269, 18964, 4841, 547, 7756, 5573, 1063, 17796, 454, 453, 272, 269, 17291, 12886, 1369, 1585, 2959, 454, 453, 273, 269, 15043, 513, 7059, 5133, 593, 3486, 3906, 971, 607, 24114, 692, 7656, 269, 24114, 781, 12472, 543, 12634, 10020, 454, 288, 269, 21744, 8232, 23721, 1310, 519, 12019, 2782, 454, 453, 272, 269, 4762, 26555, 538, 31735, 807, 454, 453, 273, 269, 6820, 18483, 543, 15787, 6304, 454, 289, 269, 28841, 540, 16840, 1222, 543, 26844, 15789, 454, 453, 272, 269, 8109, 3864, 23822, 618, 454, 453, 273, 269, 11335, 15511, 543, 594, 30955, 29046, 19541, 454, 290, 269, 7351, 13891, 919, 543, 8892, 18370, 11072, 454, 453, 272, 269, 6576, 781, 1894, 609, 24114, 454, 453, 273, 269, 3624, 781, 3395, 3310, 543, 1761, 2591, 692, 4353, 269, 16792, 16497, 3231, 2740, 547, 3778, 4065, 8889, 543, 21637, 454, 288, 269, 18964, 11879, 15154, 10341, 454, 453, 272, 269, 21278, 2789, 5380, 543, 8716, 7521, 454, 453, 273, 269, 18601, 11786, 2152, 543, 2502, 1053, 538, 16268, 5717, 454, 289, 269, 23889, 12729, 543, 18520, 17796, 454, 453, 272, 269, 22034, 4013, 6054, 267, 18531, 267, 29946, 267, 543, 4081, 4930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11782, 269, 1809, 538, 24063, 267, 7022, 962, 1077, 328, 631, 2224, 1597, 328, 1765, 15367, 814, 1044, 538, 1379, 585, 3592, 476, 1789, 1296, 1107, 804, 902, 593, 267, 28321, 547, 1689, 519, 11156, 865, 602, 646, 666, 1796, 538, 519, 476, 1708, 272, 12836, 269, 1924, 875, 1279, 666, 646, 3251, 538, 1379, 286, 2677, 790, 585, 1702, 18999, 12711, 543, 13629, 538, 4000, 269, 2052, 8476, 10009, 540, 3979, 23381, 338, 948, 3337, 519, 4720, 540, 8103, 286, 901, 568, 938, 5075, 693, 18999, 12711, 3194, 543, 14539, 5871, 19541, 6828, 799, 267, 2059, 609, 824, 3979, 21101, 267, 13489, 338, 519, 9345, 543, 8309, 547, 2686, 1646, 543, 25174, 563, 299, 836, 12711, 2835, 16616, 519, 5996, 20190, 640, 267, 10848, 267, 4105, 885, 543, 32252, 14613, 540, 1272, 538, 4000, 543, 3565, 547, 3069, 20671, 538, 519, 1514, 9443, 543, 23408, 269, 7909, 20925, 1062, 585, 28801, 543, 20787, 3711, 1664, 269, 634, 4095, 2817, 10418, 585, 7909, 6176, 7896, 630, 2562, 4596, 3041, 264, 540, 519, 12080, 540, 3047, 7070, 1934, 22305, 13894, 519, 7909, 5983, 26511, 3590, 585, 1290, 528, 657, 267, 28801, 267, 543, 20787, 3711, 1664, 693, 519, 3791, 10579, 658, 20051, 540, 13636, 21091, 11638, 6953, 1794, 731, 7216, 2782, 940, 3590, 585, 5607, 543, 4000, 630, 6020, 300, 2464, 1070, 4371, 693, 5800, 631, 2803, 2421, 267, 14466, 7699, 1715, 19892, 267, 593, 11016, 269, 634, 5836, 9472, 543, 2038, 8337, 1344, 593, 1164, 5951, 267, 14768, 267, 12798, 267, 29500, 267, 1016, 1606, 16577, 5836, 2175, 8597, 547, 3755, 899, 29940, 267, 9381, 2551, 267, 9235, 5823, 267, 9381, 20237, 8387, 267, 7286, 7128, 267, 2823, 8128, 267, 1382, 5238, 543, 21369, 6080, 540, 891, 2477, 563, 4322, 5836, 2533, 616, 6322, 2509, 3106, 693, 519, 4262, 269, 28541, 9503, 10509, 16724, 7575, 547, 19168, 543, 12651, 1269, 275, 269, 279, 28985, 585, 1376, 909, 269, 32678, 267, 23759, 3019, 543, 24063, 616, 1271, 20473, 8184, 1449, 15135, 538, 4000, 2443, 31763, 345, 269, 15719, 18553, 267, 32678, 269, 25204, 6199, 269, 2622, 781, 4102, 8484, 29349, 3811, 1449, 8184, 269, 3162, 4000, 4255, 9457, 15258, 781, 1985, 22831, 1979, 6248, 3556, 269, 8278, 984, 1678, 5985, 813, 786, 1118, 12948, 14949, 267, 3015, 910, 31319, 984, 1678, 8387, 910, 4750, 5918, 23759, 1735, 269, 15618, 593, 476, 1015, 269, 4962, 269, 1001, 278, 20221, 476, 1626, 327, 5400, 676, 4750, 5918, 23759, 1735, 9523, 4340, 547, 873, 267, 519, 1533, 540, 519, 1148, 5985, 3498, 568, 3728, 543, 3015, 543, 3947, 1732, 11834, 24539, 547, 519, 3755, 267, 7551, 1818, 12948, 2238, 12863, 269, 8278, 984, 1678, 23759, 3019, 9250, 519, 813, 593, 2904, 476, 280, 543, 922, 16984, 2161, 519, 4871, 13922, 547, 2333, 922, 6075, 3490, 998, 519, 813, 563, 28893, 3744, 616, 4358, 547, 4324, 689, 2462, 1239, 2079, 2443, 31763, 345, 269, 1635, 2810, 519, 4320, 540, 1239, 602, 3173, 666, 5659, 543, 960, 609, 693, 1022, 2016, 942, 267, 1239, 25673, 2029, 2636, 873, 547, 1118, 8273, 26058, 538, 1447, 942, 538, 741, 6074, 10459, 269, 4578, 3744, 4217, 713, 1184, 676, 3246, 519, 1983, 547, 948, 3173, 543, 9946, 1101, 5659, 1804, 12531, 540, 1239, 543, 1287, 946, 602, 2079, 547, 1118, 2500, 3664, 269, 1323, 6196, 31420, 667, 880, 5853, 593, 5616, 21476, 1772, 29460, 4639, 4000, 781, 3689, 15571, 23571, 269, 18629, 6663, 547, 1831, 4000, 781, 7887, 5663, 13398, 563, 22152, 320, 2230, 3292, 269, 654, 9047, 7813, 547, 10131, 1101, 4628, 3059, 2213, 4238, 538, 4000, 910, 654, 9047, 7813, 267, 835, 540, 13280, 779, 9510, 8492, 267, 3081, 621, 786, 10131, 519, 1101, 4628, 3059, 2213, 12948, 3028, 538, 4000, 538, 519, 1101, 3368, 540, 476, 1001, 278, 269, 589, 3948, 676, 519, 4871, 538, 20698, 657, 593, 13638, 20926, 21540, 684, 9986, 758, 564, 8500, 328, 267, 519, 4871, 779, 19737, 10615, 543, 12751, 15445, 20229, 267, 607, 3045, 23395, 713, 1247, 9306, 519, 4871, 779, 2912, 1243, 476, 1001, 277, 2883, 2164, 269, 9986, 758, 564, 8500, 328, 1767, 519, 10131, 540, 519, 1007, 3028, 729, 5497, 547, 3986, 519, 4871, 779, 1870, 2203, 267, 2087, 4398, 543, 2569, 3790, 269, 26450, 514, 715, 1695, 636, 267, 682, 21473, 1723, 1532, 26408, 12437, 1835, 19902, 964, 11608, 546, 685, 817, 2700, 20221, 3288, 669, 597, 4026, 773, 910, 589, 15709, 32177, 681, 2894, 14701, 313, 966, 302, 4785, 910, 700, 262, 17682, 686, 4302, 267, 1612, 964, 2455, 1622, 269, 15776, 2455, 1622, 678, 2946, 23728, 333, 550, 682, 544, 27475, 964, 10124, 1696, 632, 3288, 1099, 860, 773, 563, 289, 1068, 514, 715, 1695, 636, 267, 21473, 1723, 1532, 26408, 12437, 1609, 2855, 643, 2946, 20221, 1835, 2946, 518, 682, 8741, 527, 604, 968, 305, 6242, 5608, 964, 11608, 546, 685, 817, 2700, 20221, 3288, 669, 597, 4026, 773, 269, 667, 836, 1774, 1207, 903, 4000, 781, 4102, 31219, 269, 2274, 3057, 665, 6205, 12869, 664, 964, 3692, 527, 15530, 1696, 5918, 5260, 7546, 269, 634, 15940, 10118, 524, 4770, 538, 593, 4000, 781, 4950, 8213, 269, 12266, 12824, 12414, 1744, 18276, 26425, 338, 883, 21954, 22869, 21311, 269, 681, 2946, 572, 879, 7542, 549, 16129, 790, 281, 561, 685, 2704, 326, 2946, 31151, 9129, 611, 1234, 3630, 321, 1654, 583, 1558, 30036, 561, 685, 17682, 686, 4302, 1147, 986, 2812, 269, 1133, 5721, 26982, 21986, 5028, 682, 570, 577, 611, 267, 682, 22096, 1696, 561, 685, 2704, 326, 2946, 4471, 270, 570, 748, 8350, 546, 18863, 5661, 1147, 682, 544, 2946, 8615, 3491, 27826, 632, 1234, 3630, 321, 269, 3828, 10679, 3979, 2477, 3257, 2361, 4255, 585, 16220, 9168, 7031, 910, 6355, 294, 327, 3570, 5240, 269, 589, 21829, 18726, 15331, 1772, 1773, 10165, 585, 513, 4639, 3979, 22810, 563, 763, 22408, 32758, 2030, 602, 1223, 10994, 21901, 269, 5741, 547, 6338, 10980, 15033, 22959, 5170, 538, 4000, 269, 476, 1556, 3979, 18831, 23560, 12197, 18873, 1280, 2637, 13443, 3525, 1881, 15867, 1186, 269, 1215, 15057, 781, 10016, 320, 289, 13612, 298, 13667, 338, 1677, 16534, 4000, 781, 5769, 10819, 269, 8235, 932, 611, 543, 8235, 15117, 723, 1044, 10969, 539, 676, 10980, 936, 2250, 5756, 267, 2230, 2029, 543, 19025, 666, 948, 2443, 31763, 345, 269, 9045, 749, 2572, 16103, 616, 29955, 12824, 21023, 16581, 8605, 2032, 538, 4000, 269, 8921, 18160, 17072, 630, 301, 9128, 264, 8479, 19264, 26513, 19510, 476, 1001, 278, 585, 8479, 20338, 630, 293, 24962, 547, 715, 9128, 6820, 20283, 532, 476, 1001, 279, 538, 918, 580, 8932, 267, 32678, 264, 1107, 18623, 1222, 269, 4210, 1695, 8270, 543, 267, 4166, 267, 2098, 21343, 616, 1631, 2139, 585, 1582, 1565, 593, 519, 13660, 565, 22857, 813, 2443, 31763, 345, 563, 8867, 834, 21080, 16818, 321, 257, 5918, 1319, 2946, 21119, 989, 878, 1961, 536, 1304, 20110, 339, 679, 2279, 686, 4302, 632, 561, 262, 302, 340, 652, 269, 28742, 674, 19910, 9142, 281, 9578, 632, 476, 4335, 271, 3924, 23764, 1106, 15530, 269, 589, 11355, 21562, 24578, 564, 2593, 267, 796, 547, 326, 7637, 529, 1654, 583, 1921, 518, 561, 685, 17682, 686, 4302, 1303, 328, 27056, 269, 20821, 24789, 341, 639, 267, 513, 5100, 3926, 28196, 1456, 6683, 2066, 4000, 269, 4000, 4578, 3163, 5948, 9250, 547, 22299, 519, 3924, 269, 20821, 519, 7354, 1122, 2297, 324, 10196, 602, 5280, 547, 3605, 1007, 8833, 540, 7486, 269, 476, 1691, 3162, 3979, 21989, 5071, 543, 3763, 1018, 1223, 581, 4000, 779, 1101, 17721, 31420, 269, 18628, 3744, 2268, 3979, 7693, 11729, 689, 2230, 269, 634, 2295, 540, 4000, 779, 1007, 2564, 1153, 269, 4000, 7472, 1175, 476, 272, 269, 272, 260, 540, 2518, 3621, 1702, 910, 855, 1689, 568, 4947, 269, 12266, 8798, 11912, 7573, 12555, 1216, 676, 3368, 563, 301, 12342, 281, 29583, 339, 547, 1546, 1943, 667, 14772, 547, 13363, 24542, 28298, 16811, 269, 4000, 281, 4208, 5843, 15816, 3657, 6206, 547, 14572, 4000, 781, 5253, 8232, 19822, 269, 4000, 779, 2104, 6013, 538, 519, 3946, 540, 922, 3744, 269, 589, 13663, 6669, 1210, 16220, 9168, 15495, 568, 6029, 9621, 2164, 2443, 31763, 345, 269, 4000, 281, 2637, 13443, 5422, 1229, 28404, 2776, 24000, 5689, 7559, 538, 631, 823, 267, 28454, 8058, 269, 772, 16598, 2561, 29452, 5900, 847, 16827, 547, 22707, 3979, 623, 15160, 26478, 910, 6820, 24611, 563, 4467, 618, 4414, 7412, 1654, 583, 22155, 8350, 3786, 1725, 525, 12869, 664, 525, 1989, 5889, 576, 18559, 19025, 910, 15306, 269, 10341, 4838, 12662, 4000, 593, 2208, 2619, 269, 21311, 11435, 1500, 689, 20544, 16115, 1522, 948, 5527, 781, 17885, 1966, 269, 10871, 12374, 689, 3979, 14634, 910, 11982, 910, 15867, 6137, 910, 4937, 5240, 269, 18391, 1394, 693, 476, 1001, 277, 18563, 2066, 4000, 269, 20226, 3750, 4000, 7888, 24684, 6437, 269, 24063, 16393, 28161, 519, 3689, 3979, 13780, 547, 3204, 3634, 11670, 269, 13280, 5036, 909, 513, 12233, 547, 1353, 11670, 21774, 269, 1215, 968, 13449, 2707, 892, 6079, 12696, 689, 519, 2475, 547, 3127, 616, 4657, 2518, 1426, 2504, 269, 20226, 8470, 2813, 547, 2697, 6932, 4066, 540, 6574, 948, 547, 4000, 269, 4000, 281, 19889, 6363, 7037, 15089, 558, 19830, 2033, 3816, 7174, 13813, 1975, 1571, 269, 2372, 652, 547, 4786, 4000, 779, 3037, 22435, 5956, 269, 16743, 15356, 585, 4000, 476, 1001, 277, 281, 634, 476, 1015, 3803, 1235, 269, 4000, 6008, 6137, 5455, 4706, 6820, 2552, 9084, 547, 11660, 3194, 267, 16743, 563, 24927, 10432, 6663, 547, 5721, 476, 276, 332, 3979, 6107, 676, 476, 1708, 276, 269, 28541, 20698, 3019, 281, 4000, 779, 15306, 7169, 1261, 6758, 4639, 269, 2475, 15369, 24997, 6052, 267, 4578, 15306, 674, 8787, 5900, 847, 4911, 565, 534, 7767, 832, 269, 966, 625, 546, 262, 10339, 1846, 2433, 670, 10098, 14150, 23893, 329, 9874, 267, 808, 777, 7431, 1047, 3888, 19902, 679, 27878, 628, 11340, 773, 269, 17224, 18209, 4066, 3498, 538, 3979, 6683, 269, 3979, 8492, 3636, 547, 9893, 269, 2052, 9370, 262, 19915, 547, 15476, 4719, 7851, 540, 8978, 3979, 7031, 5818, 6484, 888, 19859, 7809, 476, 275, 17682, 27996, 568, 5885, 3979, 7379, 14261, 543, 3048, 2209, 2066, 4000, 2443, 31763, 345, 269, 25448, 568, 1753, 547, 4000, 781, 1101, 11332, 6879, 732, 1982, 269, 4165, 2711, 25106, 9861, 4530, 539, 607, 25792, 24954, 24295, 10684, 269, 12207, 670, 6359, 17977, 30926, 12518, 547, 5269, 5689, 7559, 24391, 269, 4000, 281, 3245, 22319, 3798, 1746, 547, 12280, 3004, 1186, 267, 22208, 12207, 11627, 622, 538, 17813, 547, 7736, 5689, 7559, 269, 700, 262, 17682, 686, 4302, 678, 2946, 514, 1203, 324, 1094, 605, 2181, 21350, 773, 5918, 7715, 4206, 27448, 1862, 661, 4211, 558, 12692, 769, 4000, 281, 1215, 1677, 20958, 2060, 19768, 2986, 9335, 17372, 525, 286, 1715, 18726, 932, 760, 589, 5153, 19331, 731, 16844, 769, 3979, 32081, 14938, 9760, 563, 16908, 269, 4000, 781, 21836, 5479, 18311, 8492, 593, 6237, 5610, 547, 5818, 7269, 269, 3848, 1261, 6758, 269, 27988, 807, 779, 29659, 812, 3268, 538, 547, 2847, 633, 16444, 20092, 779, 4006, 2872, 269, 0, 2026, 851, 540, 1888, 649, 723, 1044, 1565, 827, 519, 13123, 538, 29161, 543, 849, 519, 5211, 595, 569, 1372, 269, 4746, 649, 4121, 602, 519, 2695, 842, 344, 8115, 568, 2965, 1572, 634, 595, 569, 1372, 20211, 563, 2171, 2813, 4583, 21056, 540, 29161, 543, 10268, 938, 1565, 547, 3237, 563, 1103, 23168, 2329, 543, 13174, 267, 649, 941, 1565, 827, 519, 476, 273, 2053, 7515, 543, 849, 11113, 909, 547, 11278, 272, 269, 769, 17402, 267, 649, 941, 1603, 827, 513, 2027, 26889, 543, 649, 5206, 5528, 585, 606, 9813, 547, 1246, 563, 763, 3018, 519, 1453, 1767, 789, 723, 10150, 519, 1739, 912, 268, 594, 10150, 623, 9950, 269, 1317, 621, 729, 1187, 543, 649, 1205, 547, 2196, 827, 563, 268, 13174, 1317, 596, 666, 26821, 543, 1205, 1732, 563, 268, 23559, 1317, 649, 2648, 2040, 27594, 563, 268, 32695, 827, 1018, 649, 723, 4121, 563, 5978, 18454, 713, 941, 912, 268, 476, 1015, 270, 1015, 538, 10259, 2638, 454, 268, 4279, 7436, 538, 13004, 4879, 454, 268, 29055, 3631, 5532, 609, 938, 1888, 454, 268, 769, 2536, 2590, 1983, 454, 268, 8176, 681, 3317, 773, 27963, 842, 9655, 14986, 1433, 12201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 377, 420, 377, 355, 7511, 28997, 478, 22287, 499, 16533, 507, 13644, 499, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 1118, 267, 2203, 267, 1032, 2187, 1038, 1582, 6230, 820, 815, 1118, 454, 1038, 1582, 6230, 617, 601, 815, 2203, 454, 1038, 1582, 13885, 792, 815, 1032, 454, 1038, 1582, 269, 617, 10309, 318, 15105, 815, 476, 271, 692, 825, 1219, 1205, 5091, 525, 20696, 12173, 4311, 2187, 1038, 1279, 12173, 815, 1193, 4311, 13885, 792, 264, 1341, 1412, 1412, 1341, 1582, 6230, 820, 1341, 1412, 1412, 1341, 1582, 6230, 617, 601, 454, 1038, 2132, 1279, 12173, 26644, 10797, 825, 1219, 1224, 318, 617, 10309, 4311, 2187, 1038, 1820, 2891, 1607, 1286, 814, 834, 1341, 1193, 4311, 269, 617, 10309, 318, 15105, 264, 1341, 834, 5195, 593, 621, 1701, 2020, 825, 1219, 9337, 318, 617, 10309, 4311, 267, 13304, 720, 2187, 1038, 952, 13304, 720, 13843, 1582, 269, 617, 10309, 318, 15105, 912, 2018, 1582, 269, 617, 10309, 318, 15105, 815, 13304, 720, 454, 1038, 3116, 912, 2018, 1820, 2891, 2791, 666, 1405, 5066, 1394, 606, 5212, 10309, 10590, 2020, 825, 1219, 27261, 318, 617, 10309, 4311, 267, 5195, 2187, 1038, 952, 5195, 13843, 476, 271, 912, 2018, 1582, 269, 617, 10309, 318, 15105, 6834, 5195, 454, 1038, 3116, 912, 2018, 1820, 2891, 12916, 510, 21251, 420, 25693, 18713, 508, 420, 364, 481, 19404, 490, 31801, 489, 23989, 10590, 2020, 258, 476, 476, 10254, 505, 417, 375, 374, 31878, 32352, 28793, 8147, 419, 486, 370, 32352, 417, 379, 483, 421, 350, 375, 25060, 483, 12571, 360, 21928, 25051, 497, 31176, 491, 24757, 10524, 370, 18809, 8147, 4970, 498, 12916, 491, 30678, 31878, 32352, 31176, 491, 30837, 351, 8147, 418, 489, 361, 9463, 371, 19540, 483, 418, 490, 485, 27936, 419, 486, 370, 32352, 12571, 491, 26175, 364, 7531, 5035, 11272, 10111, 263, 10111, 2187, 825, 5727, 13200, 369, 20693, 357, 418, 365, 377, 420, 377, 355, 7511, 419, 489, 361, 29830, 373, 18263, 489, 14035, 482, 20701, 825, 1948, 476, 6449, 8181, 1029, 3890, 26406, 354, 9463, 501, 10254, 505, 417, 375, 374, 10111, 14395, 508, 28032, 489, 19867, 478, 421, 506, 478, 7511, 32517, 350, 418, 479, 363, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 1118, 267, 2203, 267, 1032, 2187, 1038, 5727, 10254, 507, 417, 356, 489, 25060, 500, 419, 486, 370, 32352, 7511, 31271, 508, 26233, 356, 12163, 1038, 1948, 476, 2706, 3890, 15159, 22047, 29830, 373, 418, 362, 488, 16583, 30936, 8147, 27747, 362, 20693, 358, 23911, 16533, 484, 419, 486, 370, 32352, 25520, 31878, 32352, 10429, 367, 420, 479, 498, 420, 369, 371, 23521, 354, 454, 1038, 1948, 476, 476, 18777, 358, 23911, 420, 364, 481, 17958, 25821, 10111, 7511, 419, 486, 370, 32352, 7511, 25913, 25622, 1029, 8181, 1029, 3890, 8147, 18777, 358, 25821, 10111, 454, 1038, 1948, 476, 13127, 362, 508, 28032, 489, 25060, 483, 12571, 360, 419, 486, 370, 32352, 7511, 19867, 478, 20069, 31271, 508, 26233, 356, 25707, 1038, 1948, 476, 22614, 486, 370, 32352, 18263, 509, 26175, 364, 20992, 420, 370, 483, 32352, 4433, 10967, 5035, 994, 1038, 2706, 14061, 1029, 8181, 9191, 24708, 267, 2203, 267, 1032, 9239, 3240, 4671, 525, 5055, 815, 11272, 10111, 3488, 5052, 5055, 3299, 1412, 16347, 521, 3299, 476, 1001, 277, 994, 2745, 30044, 4671, 525, 5055, 10947, 5091, 525, 20696, 12173, 15405, 0, 2745, 2891, 1366, 734, 14035, 365, 420, 368, 354, 28793, 13601, 417, 352, 364, 21251, 12571, 511, 1366, 734, 257, 9239, 3698, 1293, 318, 6919, 6600, 32327, 2187, 825, 5727, 18777, 350, 28997, 501, 22047, 24757, 10524, 370, 27962, 420, 485, 368, 25060, 483, 12571, 360, 14035, 504, 16533, 495, 14748, 22287, 499, 13644, 491, 12163, 825, 2119, 912, 1038, 609, 1930, 6600, 32327, 264, 607, 535, 318, 28128, 912, 2018, 9115, 815, 535, 318, 28128, 18667, 4590, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 1948, 1780, 13644, 511, 9463, 354, 10429, 483, 25051, 497, 29072, 22287, 510, 12916, 491, 31033, 454, 1038, 1780, 454, 825, 3116, 912, 1038, 1948, 476, 18777, 350, 28997, 501, 24757, 10524, 370, 27962, 420, 485, 368, 25060, 483, 12571, 360, 14035, 504, 16533, 495, 14748, 22287, 499, 13644, 491, 454, 1038, 1913, 815, 9115, 21858, 4590, 1038, 1003, 318, 6919, 815, 7003, 263, 6919, 994, 1038, 1820, 2891, 763, 3758, 834, 1341, 32197, 1341, 834, 814, 827, 834, 1341, 1193, 16325, 318, 6919, 264, 30492, 23526, 834, 1913, 1701, 9239, 16344, 523, 1868, 815, 18358, 11907, 270, 531, 823, 17902, 3299, 1412, 338, 1342, 9618, 15925, 17902, 3299, 1412, 11907, 8276, 984, 344, 18380, 17902, 22779, 17264, 1412, 11907, 15828, 8077, 16062, 1580, 17902, 262, 6540, 1721, 32197, 538, 2083, 523, 1868, 912, 825, 1293, 318, 6919, 6600, 32327, 2020, 258, 13127, 373, 370, 30837, 508, 30006, 493, 418, 361, 350, 29004, 499, 420, 492, 371, 28996, 19764, 480, 27747, 372, 28793, 421, 25693, 421, 506, 478, 28884, 417, 495, 488, 13644, 487, 17958, 16043, 371, 8147, 20069, 28793, 27747, 490, 10951, 505, 31801, 489, 31365, 21928, 9463, 495, 13200, 509, 19764, 480, 27747, 372, 28793, 454, 258, 28859, 507, 503, 421, 375, 502, 17295, 364, 14756, 356, 14756, 511, 13213, 494, 27310, 12486, 421, 480, 352, 18263, 486, 9463, 359, 421, 506, 478, 28884, 21928, 21955, 28786, 419, 510, 479, 417, 507, 501, 18809, 12916, 379, 17958, 10139, 13644, 511, 9463, 354, 18777, 358, 454, 258, 12877, 2023, 10524, 478, 18263, 486, 421, 25693, 21251, 28884, 417, 479, 504, 12486, 692, 258, 1780, 13644, 511, 9463, 354, 10429, 483, 25051, 497, 29072, 22287, 510, 12916, 491, 31033, 8147, 14395, 481, 418, 493, 494, 421, 484, 496, 12916, 510, 21928, 31801, 489, 31365, 18809, 418, 509, 494, 14748, 17295, 364, 25913, 10524, 478, 18263, 486, 421, 25693, 418, 366, 350, 20069, 417, 479, 504, 8147, 454, 258, 13127, 373, 370, 4970, 498, 23284, 12571, 492, 18263, 509, 18777, 372, 28884, 21928, 30244, 19404, 490, 417, 479, 504, 11590, 505, 10524, 478, 18263, 486, 12486, 692, 2745, 19629, 333, 1366, 734, 19540, 367, 27936, 418, 488, 354, 417, 495, 488, 417, 497, 359, 11590, 505, 421, 498, 503, 13644, 363, 1366, 734, 5602, 258, 476, 12571, 495, 17958, 16043, 371, 13107, 378, 419, 353, 374, 10524, 500, 21251, 418, 481, 367, 419, 506, 489, 28996, 7511, 32517, 350, 418, 479, 363, 23746, 420, 25693, 25263, 504, 30522, 491, 12916, 492, 31801, 489, 31365, 7511, 23746, 17958, 26233, 356, 25707, 258, 5124, 7511, 421, 498, 503, 13644, 363, 14035, 482, 419, 494, 484, 14756, 497, 22909, 482, 420, 25693, 14035, 509, 14756, 484, 420, 485, 368, 17295, 364, 26406, 356, 10254, 370, 4970, 492, 17958, 16043, 371, 26166, 11590, 360, 421, 498, 503, 13644, 363, 32517, 350, 418, 479, 363, 7511, 31801, 489, 18021, 355, 12486, 692, 258, 9669, 912, 258, 22614, 376, 500, 19540, 503, 23523, 501, 23523, 486, 417, 354, 377, 4970, 498, 14756, 493, 13213, 485, 13644, 355, 16533, 377, 418, 369, 489, 13644, 499, 7511, 28786, 419, 510, 479, 21251, 14395, 373, 13107, 497, 24731, 27064, 364, 19540, 483, 421, 481, 357, 421, 498, 503, 13644, 363, 8147, 417, 28187, 13644, 511, 25622, 16043, 500, 20881, 375, 20001, 495, 421, 498, 503, 13644, 363, 8147, 454, 258, 476, 12916, 484, 9463, 359, 28884, 31801, 489, 31365, 28032, 507, 420, 369, 500, 30678, 14035, 500, 421, 481, 357, 18713, 510, 27381, 510, 8147, 417, 28187, 17958, 16043, 371, 27447, 24662, 18998, 11858, 502, 21928, 418, 490, 485, 27936, 7511, 24757, 10524, 370, 18998, 20069, 419, 377, 495, 420, 371, 363, 421, 497, 378, 26406, 354, 8147, 454, 258, 13127, 364, 365, 20069, 23746, 420, 25693, 24731, 27064, 364, 19764, 480, 27747, 372, 12486, 16583, 511, 22390, 509, 14756, 493, 421, 359, 490, 23746, 10254, 353, 13161, 511, 21928, 31801, 489, 31365, 7511, 10524, 478, 18263, 486, 17295, 364, 25913, 25060, 483, 12571, 360, 19764, 480, 27747, 372, 14035, 482, 419, 494, 484, 417, 507, 501, 8147, 23284, 9463, 488, 454, 258, 13127, 485, 374, 27064, 364, 421, 498, 503, 13644, 363, 28793, 13644, 354, 12571, 495, 17958, 16043, 371, 418, 493, 494, 28032, 505, 14035, 504, 16533, 495, 25203, 372, 10429, 367, 7511, 32517, 350, 418, 479, 363, 25707, 0, 258, 476, 32517, 362, 418, 498, 373, 31176, 491, 30837, 351, 7511, 16583, 30936, 8147, 12916, 379, 10429, 370, 25060, 483, 12571, 360, 21588, 361, 4970, 487, 14748, 417, 379, 483, 21251, 23746, 16533, 495, 7511, 25051, 351, 9463, 480, 28134, 8147, 23946, 370, 13213, 498, 18713, 508, 22047, 21550, 376, 19764, 493, 20992, 454, 258, 4975, 8147, 15575, 787, 910, 2551, 1535, 16282, 476, 7511, 21211, 31033, 4970, 366, 8147, 417, 28187, 306, 656, 16489, 8147, 2419, 850, 910, 2551, 454, 258, 476, 4335, 1822, 271, 12486, 13213, 494, 27310, 11687, 6831, 885, 18258, 8147, 419, 350, 362, 18777, 353, 418, 369, 489, 13644, 499, 11687, 6831, 640, 18045, 787, 3890, 10951, 359, 20881, 504, 13213, 485, 25707, 258, 476, 32517, 362, 418, 498, 373, 31968, 13213, 364, 16583, 30936, 8147, 16533, 484, 25051, 351, 9463, 480, 28134, 18777, 378, 419, 377, 362, 20992, 23746, 20881, 487, 7511, 12486, 19540, 491, 418, 361, 350, 13213, 494, 27310, 11687, 6831, 885, 18258, 8147, 419, 350, 362, 18777, 353, 454, 258, 17276, 369, 489, 13644, 499, 11687, 6831, 640, 18045, 787, 3890, 9463, 486, 20881, 504, 13213, 485, 29072, 25707, 258, 13127, 484, 491, 419, 376, 500, 19540, 503, 22047, 12571, 491, 20992, 11687, 6831, 640, 18045, 787, 7272, 641, 1637, 3890, 7511, 418, 369, 489, 13644, 499, 8147, 21550, 372, 14395, 508, 23746, 23284, 12916, 379, 17958, 32352, 25263, 376, 30678, 454, 258, 1412, 338, 656, 16489, 262, 18998, 262, 577, 850, 262, 25520, 262, 28134, 284, 4335, 1822, 271, 262, 30244, 21550, 371, 7511, 29219, 23521, 354, 420, 364, 481, 17958, 30244, 14748, 16583, 30936, 12486, 19540, 491, 418, 361, 350, 13213, 494, 454, 258, 476, 27310, 11687, 6831, 885, 18258, 8147, 419, 350, 362, 18777, 353, 418, 369, 489, 13644, 499, 11687, 6831, 640, 18045, 787, 7272, 641, 1637, 3890, 20881, 504, 13213, 485, 29072, 12486, 692, 5814, 1770, 11687, 454, 5228, 512, 273, 6831, 640, 6958, 4233, 1104, 2749, 18045, 787, 7531, 5035, 20079, 14818, 19111, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 418, 369, 489, 13644, 499, 322, 640, 6958, 4233, 18258, 20701, 825, 1219, 1449, 6831, 640, 18045, 787, 4311, 2187, 1038, 5727, 420, 25693, 14035, 509, 27882, 352, 419, 350, 362, 17295, 364, 14035, 482, 419, 494, 484, 417, 481, 493, 306, 656, 16489, 267, 2419, 850, 30244, 21550, 371, 7511, 417, 509, 492, 27747, 480, 418, 493, 493, 13213, 364, 12571, 501, 286, 12163, 1038, 2749, 18045, 787, 23919, 815, 2749, 18045, 787, 3488, 338, 656, 16489, 3299, 1412, 577, 850, 5073, 1038, 1582, 27863, 6262, 640, 18045, 787, 23919, 267, 1412, 306, 656, 16489, 267, 16266, 17210, 825, 1219, 1449, 6831, 640, 18045, 787, 7272, 641, 1637, 4311, 2187, 1038, 8173, 1038, 29635, 25693, 14035, 509, 27882, 352, 419, 350, 362, 14035, 482, 419, 494, 484, 417, 481, 493, 306, 656, 16489, 8147, 16266, 910, 2551, 476, 4335, 1822, 271, 454, 1038, 476, 30244, 21550, 371, 7511, 417, 509, 492, 27747, 480, 418, 493, 493, 13213, 364, 21211, 31033, 4970, 366, 12571, 501, 888, 1038, 8173, 1038, 2749, 18045, 787, 23919, 815, 2749, 18045, 787, 3488, 338, 656, 16489, 3299, 1412, 577, 850, 3299, 476, 4335, 1822, 271, 994, 1038, 1582, 27863, 6262, 640, 18045, 787, 23919, 2676, 4449, 1363, 1412, 306, 656, 16489, 267, 16266, 910, 2551, 476, 4335, 1822, 271, 262, 9239, 684, 8636, 652, 6230, 664, 4590, 0, 5228, 4351, 1104, 28219, 842, 692, 2745, 2891, 1366, 734, 421, 359, 364, 31878, 1366, 734, 5602, 258, 17276, 357, 350, 417, 507, 501, 12690, 25060, 483, 12571, 360, 23284, 12571, 482, 26175, 491, 25913, 19764, 493, 13200, 509, 29873, 421, 504, 493, 10951, 374, 12255, 7511, 16583, 30936, 8147, 10429, 370, 18809, 7511, 8681, 842, 3890, 13213, 498, 18713, 508, 13601, 454, 258, 476, 14748, 12916, 491, 30678, 418, 490, 485, 27936, 420, 490, 481, 18713, 368, 19540, 483, 7511, 13644, 375, 12255, 8147, 28032, 489, 417, 28187, 8147, 31284, 30837, 351, 7511, 28786, 419, 510, 479, 13213, 498, 18713, 508, 22047, 272, 349, 277, 19540, 483, 7511, 10533, 368, 12255, 912, 258, 689, 4351, 1104, 28219, 842, 454, 258, 1535, 815, 28219, 842, 263, 272, 267, 476, 277, 2020, 258, 476, 13644, 371, 10254 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 3597, 22183, 267, 10174, 22183, 1341, 476, 272, 692, 1038, 4571, 815, 8771, 454, 1038, 952, 3597, 22183, 3436, 2451, 26174, 543, 3597, 22183, 2999, 1318, 28804, 912, 2018, 4571, 815, 6936, 692, 1038, 2132, 630, 3847, 543, 1318, 543, 4571, 1070, 2451, 28804, 267, 1318, 26174, 7531, 825, 1219, 568, 11749, 573, 289, 4306, 4311, 267, 3597, 2187, 1038, 952, 711, 3597, 281, 8873, 6936, 454, 1038, 759, 267, 318, 267, 318, 815, 1582, 269, 4206, 338, 20172, 994, 1038, 2132, 759, 7531, 0, 5035, 8827, 912, 825, 1219, 23396, 4311, 19885, 4548, 267, 328, 25814, 2187, 1038, 10917, 815, 15358, 5157, 2639, 1038, 15358, 5157, 316, 815, 15358, 14728, 2639, 1038, 15358, 14728, 316, 815, 10917, 692, 825, 1219, 19389, 31374, 4311, 19885, 4548, 2187, 1038, 1948, 31801, 367, 27936, 26406, 496, 31365, 25622, 8147, 25203, 372, 419, 511, 487, 27962, 16533, 493, 7511, 29219, 13127, 487, 491, 12571, 492, 421, 350, 374, 31365, 21251, 25263, 504, 418, 498, 373, 9463, 502, 454, 1038, 1948, 19867, 378, 31006, 27962, 29219, 8147, 418, 498, 378, 21928, 10951, 359, 26406, 496, 31365, 12255, 14756, 482, 7511, 12571, 492, 30837, 351, 454, 1038, 1948, 31006, 417, 507, 493, 418, 481, 483, 19540, 369, 267, 22287, 367, 22390, 496, 31365, 20069, 31365, 8147, 307, 3799, 264, 815, 562, 265, 333, 454, 1038, 1948, 31006, 417, 354, 377, 418, 481, 483, 19540, 369, 8147, 27882, 352, 31365, 20069, 31365, 8147, 307, 3799, 264, 815, 562, 454, 1038, 1948, 30244, 19404, 490, 7511, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 476, 15159, 19867, 356, 27310, 23396, 7511, 418, 361, 350, 12255, 8147, 26033, 490, 21251, 15159, 16583, 510, 31271, 480, 1721, 23523, 359, 27064, 363, 7511, 27381, 363, 18263, 502, 454, 1038, 2450, 815, 7003, 25225, 994, 1038, 952, 2450, 2999, 476, 273, 281, 8873, 15358, 454, 1038, 585, 1775, 538, 2039, 4433, 1125, 2187, 2018, 585, 795, 538, 2039, 4433, 1125, 268, 272, 25829, 2187, 3546, 952, 15358, 14728, 316, 3436, 15358, 14728, 266, 272, 14158, 7386, 1582, 269, 1873, 777, 25225, 25814, 25814, 266, 272, 2020, 825, 1219, 19389, 31374, 273, 4311, 267, 15358, 2187, 1038, 1948, 19867, 378, 31006, 16533, 493, 29219, 8147, 418, 488, 488, 14395, 481, 418, 498, 378, 21928, 31006, 31176, 491, 30837, 351, 454, 1038, 2450, 815, 7003, 25225, 994, 1038, 952, 2450, 2999, 476, 273, 281, 8873, 454, 1038, 585, 1775, 538, 2039, 4433, 1125, 268, 272, 2187, 2018, 585, 795, 538, 2039, 4433, 1125, 268, 272, 267, 328, 16427, 272, 2187, 3546, 952, 15358, 14728, 316, 2999, 15358, 14728, 268, 272, 14158, 7386, 1582, 269, 1873, 777, 25225, 25814, 25814, 268, 272, 2020, 825, 1219, 2656, 31374, 4311, 19885, 4548, 29679, 25722, 2187, 1038, 1948, 21251, 31801, 367, 27936, 8147, 25203, 372, 419, 511, 487, 29219, 7511, 12255, 21211, 31176, 491, 12571, 492, 421, 350, 374, 31365, 23746, 420, 25693, 9463, 502, 25060, 500, 454, 1038, 1948, 23946, 367, 417, 507, 485, 25520, 31006, 417, 354, 377, 16088, 307, 3799, 264, 815, 562, 331, 1758, 454, 1038, 1948, 22390, 496, 31365, 20069, 31365, 28793, 8147, 16533, 365, 9463, 502, 29873, 29072, 19540, 496, 21796, 350, 26406, 496, 31365, 8147, 454, 1038, 1948, 17276, 363, 493, 418, 361, 350, 19867, 378, 28996, 31006, 27962, 29219, 8147, 418, 498, 378, 21928, 10951, 359, 26406, 496, 31365, 12255, 14756, 482, 7511, 31006, 12571, 492, 30837, 351, 8147, 307, 3799, 264, 815, 562, 265, 273, 454, 1038, 10917, 815, 15358, 314, 338, 2639, 1038, 1775, 25814, 815, 521, 25722, 454, 1038, 952, 521, 2999, 512, 912, 2018, 1247, 1775, 11203, 795, 912, 3546, 1247, 795, 3436, 1775, 543, 15358, 14728, 316, 3436, 10917, 912, 7386, 795, 20699, 476, 272, 454, 3546, 952, 795, 3436, 1775, 912, 7386, 1582, 269, 1873, 777, 25225, 267, 1775, 267, 795, 994, 7386, 1775, 6834, 476, 272, 454, 3546, 1247, 1775, 2999, 795, 543, 15358, 5157, 316, 2999, 10917, 912, 7386, 1775, 6834, 476, 272, 454, 3546, 952, 1775, 2999, 795, 912, 7386, 1582, 269, 1873, 777, 25225, 267, 1775, 267, 795, 994, 7386, 795, 20699, 476, 272, 454, 2018, 1948, 25913, 25622, 13601, 16088, 21928, 6112, 23523, 359, 27064, 363, 18809, 26406, 496, 31365, 28793, 8147, 417, 28187, 31563, 19404, 485, 17958, 30006, 493, 418, 361, 350, 421, 506, 478, 28884, 420, 364, 481, 10533, 368, 12916, 491, 419, 377, 362, 28793, 8147, 421, 25693, 11590, 353, 29004, 351, 8147, 454, 2018, 1948, 16533, 365, 15159, 21928, 417, 356, 489, 14756, 486, 420, 364, 481, 10533, 368, 22141, 7511, 12916, 491, 419, 377, 362, 8147, 19867, 478, 23284, 16533, 365, 21251, 421, 506, 478, 28884, 21928, 31006, 12571, 492, 8147, 19540, 491, 418, 488, 488, 328, 25520, 10429, 370, 14395, 508, 30536, 19540, 491, 11590, 353, 29004, 351, 13601, 418, 361, 350, 29072, 454, 2018, 1948, 30244, 26175, 491, 25913, 19764, 493, 8147, 30006, 493, 418, 361, 350, 420, 351, 360, 13200, 358, 28996, 9463, 355, 13601, 20001, 373, 7511, 29219, 15159, 22141, 8147, 25203, 372, 25051, 497, 30678, 22287, 510, 14748, 12916, 491, 419, 377, 362, 8147, 31284, 418, 361, 350, 9463, 355, 13601, 20001, 373, 421, 506, 478, 28884, 335, 643, 582, 30244, 20001, 373, 11590, 353, 29004, 351, 28793, 454, 2018, 1948, 25203, 368, 26406, 354, 25520, 335, 643, 582, 11590, 353, 29004, 351, 22287, 367, 23746, 5405, 505, 454, 2018, 1948, 476, 25913, 25622, 11590, 490, 16088, 19867, 356, 27310, 31284, 30837, 351, 30244, 23521, 350, 13644, 511, 9463, 354, 454, 2018, 1948, 30006, 493, 418, 361, 350, 421, 479, 485, 28996, 28884, 11590, 353, 29004, 351, 7511, 29219, 333, 4548, 314, 3847, 316, 28793, 8147, 25203, 368, 26406, 354, 418, 488, 488, 14395, 481, 420, 369, 489, 29219, 28996, 9463, 355, 13601, 20001, 373, 8147, 31308, 509, 23521, 354, 7511, 12916, 491, 419, 377, 362, 3847, 25203, 372, 25051, 497, 30678, 22287, 510, 14748, 417, 507, 495, 8147, 454, 2018, 1948, 21928, 9463, 367, 20001, 373, 23523, 359, 27064, 363, 8147, 421, 479, 485, 28996, 16533, 493, 30678, 335, 643, 582, 7511, 418, 481, 483, 19540, 369, 28793, 333, 4548, 314, 2431, 316, 8147, 19540, 491, 418, 488, 488, 333, 4548, 314, 2431, 316, 420, 369, 489, 29219, 28996, 333, 4548, 314, 3847, 16689, 2018, 1948, 476, 12571, 490, 28793, 8147, 420, 485, 359, 26266, 365, 333, 4548, 314, 2431, 316, 25203, 372, 25051, 497, 30678, 22287, 510, 14748, 417, 507, 495, 8147, 20992, 31284, 22047, 11590, 353, 29004, 351, 13213, 485, 23521, 354, 7511, 29219, 16583, 484, 14035, 485, 2676, 2018, 1948, 31006, 12571, 492, 8147, 31176, 358, 31284, 7511, 12916, 491, 419, 377, 362, 333, 4548, 5157, 316, 419, 499, 503, 14756, 503, 335, 643, 582, 8147, 22287, 367, 31184, 454, 2018, 1948, 333, 4548, 5157, 316, 815, 10917, 692, 2018, 1582, 269, 638, 1157, 31374, 25225, 29679, 267, 328, 268, 272, 994, 2018, 1582, 269, 638, 1157, 31374, 25225, 267, 328, 266, 272, 25722, 2020, 825, 1219, 2656, 31374, 273, 4311, 19885, 4548, 29679, 25722, 2187, 1038, 10917, 815, 15358, 314, 338, 2639, 1038, 1775, 25814, 815, 521, 25722, 454, 1038, 952, 521, 3436, 512, 912, 2018, 2132, 692, 1038, 1247, 1775, 11203, 795, 912, 2018, 1247, 795, 3436, 1775, 543, 15358, 14728, 316, 3436, 10917, 912, 3546, 795, 20699, 476, 272, 454, 2018, 952, 795, 3436, 1775, 912, 3546, 15358, 5157, 316, 815, 15358, 14728, 2639, 3546, 1775, 6834, 476, 272, 454, 2018, 1247, 1775, 2999, 795, 543, 15358, 5157, 316, 2999, 10917, 912, 3546, 1775, 6834, 476, 272, 454, 2018, 952, 1775, 2999, 795, 912, 3546, 15358, 14728, 316, 815, 15358, 5157, 2639, 3546, 795, 20699, 476, 272, 454, 1038, 15358, 5157, 316, 815, 10917, 454, 1038, 1582, 269, 638, 1157, 31374, 25225, 267, 521, 267, 1775, 910, 476, 272, 994, 1038, 1582, 269, 638, 1157, 31374, 25225, 267, 1775, 1341, 476, 272, 267, 512, 2020, 825, 1219, 1628, 16655, 3891, 777, 4311, 19885, 4548, 2187, 1038, 952, 1582, 25915, 2999, 476, 273, 281, 8873, 454, 1038, 1948, 10524, 492, 22390, 496, 12255, 21588, 361, 11590, 490, 31271, 480, 19764, 478, 417, 356, 489, 420, 364, 481, 10533, 368, 417, 510, 484, 454, 1038, 585, 1775, 538, 2039, 4311, 25915, 2260, 273, 16427, 272, 16427, 272, 2187, 2018, 1582, 269, 515, 777, 1518, 25225, 267, 328, 2020, 825, 1219, 24050, 1518, 4311, 19885, 4548, 267, 328, 2187, 1038, 2451, 815, 476, 273, 265, 328, 1341, 476, 272, 454, 1038, 1318, 815, 476, 273, 265, 328, 1341, 476, 273, 454, 1038, 4102, 815, 1775, 454, 1038, 952, 2451, 2999, 1582, 25915, 543, 15358, 314, 331, 17999, 316, 2999, 15358, 314, 3847, 14158, 2018, 4102, 815, 2451, 454, 1038, 952, 1318, 2999, 1582, 25915, 543, 15358, 314, 331, 17999, 316, 2999, 15358, 314, 2431, 14158, 2018, 4102, 815, 1318, 454, 1038, 1948, 30244, 14748, 23521, 350, 10524, 370, 10254, 360, 417, 379, 502, 29072, 454, 1038, 952, 4102, 11203, 1775, 912, 2018, 1582, 269, 1873, 777, 25225, 267, 4102, 267, 1775, 994, 2018, 1948, 476, 14756, 356, 14756, 511, 20881, 496, 25051, 496, 29635, 364, 481, 10533, 368, 417, 510, 484, 8147, 12916, 379, 23523, 501, 31878, 21550, 495, 18263, 509, 418, 375, 350, 420, 370, 367, 31006, 27962, 417, 510, 484, 7511, 26233, 356, 420, 368, 357, 454, 2018, 1582, 269, 515, 777, 1518, 25225, 267, 4102, 2020, 825, 1219, 24050, 31374, 4311, 19885, 4548, 2187, 1038, 1948, 307, 3799, 264, 815, 562, 331, 1758, 454, 1038, 1948, 21251, 13161, 511, 17295, 364, 420, 364, 481, 10533, 368, 417, 510, 484, 8147, 21251, 31801, 367, 27936, 26406, 496, 31365, 454, 1038, 1582, 25915, 815, 7003, 25225, 994, 1038, 1582, 12500, 4265, 16655, 3891, 777, 25225, 994, 1038, 1948, 30244, 19404, 490, 9792, 28996, 20001, 378, 476, 272, 22287, 367, 23746, 8147, 31176, 358, 31284, 22047, 29219, 16533, 365, 15159, 31006, 16533, 493, 7511, 454, 1038, 585, 1775, 538, 2039, 4311, 25915, 268, 272, 267, 271, 16427, 272, 2187, 2018, 1582, 269, 1873, 777, 25225, 267, 476, 271, 267, 1775, 994, 2018, 1582, 25915, 20699, 476, 272, 454, 2018, 1582, 269, 515, 777, 1518, 25225, 267, 271, 2020, 825, 1219, 19467, 31374, 4311, 19885, 4548, 2187, 1038, 1948, 31801, 367, 27936, 26406, 496, 31365, 454, 1038, 1948, 307, 3799, 264, 815, 562, 331, 1758, 267, 20721, 510, 18777, 374, 31006, 417, 354, 377, 8147, 31006, 417, 507, 493, 421, 25693, 15159, 454, 1038, 2450, 815, 7003, 25225, 994, 1038, 952, 2450, 2999, 476, 273, 281, 8873, 15358, 692, 1038, 2451, 815, 1582, 269, 1067, 613, 31374, 25225, 11468, 21653, 2260, 273, 7481, 1038, 1318, 815, 1582, 269, 1067, 613, 31374, 25225, 314, 21653, 2260, 273, 281, 7481, 1038, 759, 815, 11713, 1038, 1948, 30244, 26175, 491, 19540, 503, 25622, 21251, 417, 354, 377, 454, 1038, 1948, 561, 815, 2451, 21014, 263, 271, 994, 1038, 1948, 678, 815, 1318, 21014, 263, 271, 994, 1038, 1948, 1247, 711, 2451, 543, 711, 1318, 912, 1038, 1948, 672, 952, 561, 2999, 678, 912, 1038, 1948, 1363, 759, 6910, 10857, 994, 1038, 1948, 1363, 952, 7003, 263, 3847, 264, 3436, 476, 271, 912, 1038, 1948, 17264, 561, 815, 2451, 21014, 263, 271, 994, 1038, 1948, 1363, 3116, 281, 19874, 454, 1038, 1948, 672, 3116, 912, 1038, 1948, 1363, 759, 6910, 16868, 994, 1038, 1948, 1363, 952, 7003, 263, 2431, 264, 3436, 476, 271, 912, 1038, 1948, 17264, 678, 815, 1318, 21014, 263, 271, 994, 1038, 1948, 1363, 3116, 281, 19874, 454, 1038, 1247, 2451, 543, 1318, 912, 2018, 1948, 30244, 19404, 490, 419, 511, 487, 30678, 7511, 418, 481, 483, 19540, 369, 8147, 19540, 367, 27936, 15159, 31801, 367, 27936, 26406, 496, 31365, 8147, 21928, 26266, 355, 20001, 373, 7511, 10429, 486, 13213, 505, 24662, 637, 18809, 8147, 12571, 492, 20001, 373, 7511, 12571, 492, 13213, 505, 24662, 454, 2018, 952, 2451, 314, 271, 316, 10922, 1318, 314, 271, 14158, 3546, 759, 6910, 263, 3847, 21014, 263, 271, 4917, 2018, 3116, 912, 3546, 759, 6910, 263, 2431, 21014, 263, 271, 11723, 1038, 952, 2451, 912, 2018, 759, 269, 2169, 754, 263, 3847, 994, 1038, 952, 1318, 912, 2018, 759, 269, 2169, 754, 263, 2431, 994, 1038, 2132, 759, 692, 825, 1219, 7387, 31374, 4311, 19885, 4548, 2187, 1038, 1948, 307, 3799, 264, 815, 562, 331, 1758, 267, 31006, 417, 354, 377, 31006, 417, 507, 493, 417, 507, 485, 15159, 454, 1038, 1948, 25203, 368, 26406, 354, 418, 493, 496, 24662, 26406, 496, 31365, 28793, 8147 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4139, 543, 18067, 15092, 585, 10456, 543, 13458, 1586, 2721, 519, 3007, 540, 519, 8189, 547, 519, 3390, 540, 3909, 22166, 543, 7130, 593, 519, 4493, 540, 4984, 269, 634, 1966, 540, 3909, 22166, 568, 1869, 3395, 543, 568, 693, 519, 3597, 540, 513, 1297, 540, 7526, 543, 5571, 5208, 538, 1082, 2694, 540, 519, 1158, 269, 16241, 18441, 616, 5051, 519, 9072, 540, 2462, 582, 787, 267, 799, 568, 1419, 1128, 580, 730, 676, 17119, 626, 4229, 269, 634, 3668, 540, 2797, 786, 593, 519, 851, 540, 6608, 547, 2322, 606, 1439, 547, 891, 16160, 3466, 814, 9415, 2516, 547, 30201, 1393, 543, 4619, 4476, 1367, 7146, 2516, 563, 763, 7981, 681, 1952, 677, 16725, 593, 16241, 2271, 16260, 6004, 269, 19869, 1409, 3430, 1695, 2549, 528, 630, 307, 684, 529, 807, 264, 1185, 7150, 5892, 602, 519, 10661, 540, 513, 2528, 540, 10892, 666, 2327, 6604, 269, 1261, 1185, 849, 8612, 519, 991, 547, 2689, 9086, 547, 1711, 971, 513, 2528, 269, 1717, 267, 538, 2477, 1141, 3909, 7130, 15449, 919, 519, 4031, 543, 5238, 1519, 519, 3872, 1062, 267, 1141, 3909, 7130, 568, 11528, 543, 21049, 547, 1169, 2460, 540, 1272, 585, 18441, 267, 1018, 568, 2838, 568, 2500, 543, 13447, 539, 2962, 593, 519, 851, 540, 519, 3486, 2146, 543, 519, 6608, 7255, 547, 16185, 519, 3510, 563, 2690, 1383, 267, 9031, 568, 513, 2197, 1141, 3909, 7130, 568, 27485, 538, 9086, 267, 799, 11148, 547, 3895, 513, 2528, 540, 22166, 269, 901, 568, 1336, 538, 513, 9484, 26147, 5082, 28672, 585, 16241, 19724, 885, 543, 519, 2349, 5684, 1335, 344, 16572, 476, 27768, 645, 543, 595, 540, 519, 6755, 531, 8943, 269, 634, 9086, 13054, 513, 1106, 540, 11528, 7130, 1996, 3909, 18441, 269, 1284, 1174, 602, 519, 1459, 12512, 814, 711, 3989, 513, 3609, 593, 3909, 18441, 269, 1284, 917, 593, 519, 824, 1688, 602, 3909, 18441, 538, 9031, 3136, 547, 6560, 547, 1831, 851, 540, 519, 13416, 540, 2486, 543, 585, 602, 2601, 789, 723, 1044, 14053, 2242, 538, 519, 21146, 1062, 563, 1103, 9031, 267, 519, 1062, 540, 5094, 1528, 528, 919, 593, 519, 2666, 540, 4984, 814, 519, 1198, 540, 27102, 3909, 18441, 741, 4909, 1318, 540, 8471, 2937, 29929, 269, 7201, 519, 1062, 267, 513, 844, 7974, 540, 16295, 568, 11603, 585, 1383, 267, 585, 835, 3909, 1895, 267, 538, 519, 3084, 543, 21621, 9777, 2137, 269, 901, 25641, 3609, 1851, 17037, 593, 519, 2666, 540, 4984, 11912, 1055, 4961, 540, 519, 12102, 3909, 1895, 689, 519, 1292, 6908, 540, 3084, 2797, 1272, 269, 4329, 267, 713, 17478, 593, 519, 4493, 540, 4984, 3954, 625, 873, 519, 1318, 547, 723, 513, 2161, 2047, 538, 519, 3084, 3375, 1818, 3157, 607, 1134, 607, 538, 519, 25194, 540, 3084, 2804, 267, 1514, 543, 2686, 4507, 269, 1412, 763, 12250, 1436, 540, 7130, 13054, 513, 1106, 540, 3909, 32044, 602, 13166, 9673, 1206, 519, 2924, 540, 4961, 269, 689, 2407, 7589, 538, 741, 2486, 269, 1284, 2015, 602, 519, 1062, 540, 5094, 1528, 528, 919, 538, 9031, 568, 849, 538, 18670, 540, 15080, 476, 273, 543, 476, 2641, 540, 519, 17629, 16672, 540, 5274, 7126, 607, 1134, 607, 15080, 476, 1839, 543, 476, 2918, 540, 519, 4139, 595, 19879, 593, 6406, 543, 11572, 7126, 563, 293, 3757, 322, 4593, 753, 4139, 543, 18067, 15092, 585, 10456, 543, 13458, 4363, 602, 782, 25641, 4031, 1996, 3909, 18441, 2523, 1025, 5684, 1335, 344, 4031, 581, 4735, 4705, 563, 2171, 2417, 4363, 602, 519, 5094, 21146, 1062, 581, 27618, 543, 519, 4745, 1528, 28672, 1062, 581, 17468, 1354, 519, 1985, 12836, 563, 26466, 4520, 540, 4082, 454, 763, 3390, 540, 5191, 547, 4082, 568, 849, 540, 1390, 6161, 547, 721, 269, 901, 1318, 568, 7150, 538, 519, 595, 19879, 593, 6406, 543, 11572, 7126, 607, 1519, 547, 519, 1318, 547, 4309, 543, 547, 18836, 1344, 543, 2093, 540, 782, 5686, 267, 7488, 540, 4395, 4536, 269, 1284, 616, 12517, 7255, 827, 519, 19374, 540, 713, 1318, 538, 21896, 269, 1284, 917, 602, 476, 11011, 3610, 941, 7166, 2063, 1032, 543, 602, 1614, 856, 540, 1169, 2947, 9769, 3401, 7166, 616, 689, 21896, 269, 634, 1377, 540, 27421, 543, 519, 21324, 540, 519, 3510, 972, 568, 971, 602, 3025, 945, 14753, 909, 593, 2152, 568, 6098, 585, 2669, 269, 1284, 4061, 4363, 602, 519, 8189, 4308, 609, 713, 3390, 543, 602, 519, 7981, 681, 1952, 677, 16725, 593, 519, 1318, 547, 5191, 540, 4082, 4983, 519, 3510, 538, 21896, 269, 0, 13775, 593, 5130, 476, 2537, 267, 476, 1001, 277, 454, 19489, 27749, 14160, 19798, 2464, 966, 3041, 3951, 8940, 2593, 1220, 3559, 1186, 2593, 476, 272, 269, 7726, 2433, 4892, 4043, 547, 1413, 693, 1866, 1657, 519, 8405, 610, 2630, 519, 19704, 269, 18391, 693, 824, 2694, 540, 513, 1268, 779, 1560, 568, 2808, 791, 565, 924, 267, 1247, 3168, 693, 4896, 585, 811, 982, 1614, 547, 2947, 7643, 666, 581, 14648, 607, 31325, 269, 476, 273, 269, 7726, 2433, 5753, 1419, 1451, 547, 6494, 6835, 1210, 12843, 1354, 789, 1451, 547, 3717, 269, 476, 274, 269, 7726, 2433, 5678, 15824, 513, 12843, 267, 799, 1797, 621, 2636, 596, 547, 2263, 543, 8495, 519, 1158, 267, 4194, 2042, 267, 543, 1451, 689, 707, 8906, 543, 2833, 269, 476, 275, 269, 7726, 2433, 4635, 7292, 1793, 2720, 13054, 12843, 269, 476, 276, 269, 7726, 2433, 2311, 835, 942, 519, 2262, 812, 729, 2808, 513, 13598, 2262, 602, 5219, 547, 782, 3425, 269, 4653, 267, 971, 6165, 568, 2808, 12843, 602, 608, 11079, 2043, 593, 519, 4493, 540, 4008, 269, 0, 292, 24739, 19222, 2670, 568, 513, 26220, 3968, 5097, 3361, 676, 661, 24739, 19905, 11491, 592, 657, 639, 267, 661, 24739, 19905, 1617, 559, 22811, 529, 267, 661, 24739, 19905, 642, 690, 7942, 11746, 19095, 602, 1860, 1312, 11864, 630, 323, 9233, 267, 7314, 267, 9640, 267, 13265, 267, 29372, 267, 31352, 4925, 267, 23224, 264, 543, 3425, 269, 661, 24739, 19222, 2670, 568, 513, 10598, 21124, 23427, 8376, 630, 18199, 291, 12684, 563, 265, 10598, 21124, 23427, 15302, 616, 5312, 5563, 602, 616, 3335, 21049, 538, 1970, 4747, 2477, 269, 1358, 2061, 4299, 4079, 543, 1453, 689, 2469, 547, 1153, 267, 2324, 267, 610, 4628, 10283, 538, 2146, 1272, 267, 7700, 547, 16663, 543, 519, 4783, 540, 6710, 563, 292, 24739, 19905, 11746, 19095, 616, 1336, 5001, 267, 855, 519, 3968, 568, 21049, 538, 6239, 3013, 267, 3162, 3013, 267, 543, 930, 2127, 540, 3345, 3013, 543, 5607, 269, 13488, 6840, 666, 1831, 2192, 1310, 4947, 883, 2673, 3346, 609, 7783, 2831, 610, 741, 588, 8962, 267, 607, 1134, 607, 10071, 958, 3824, 20535, 5798, 1336, 538, 13572, 1216, 543, 896, 322, 10541, 1426, 269, 670, 1731, 619, 267, 31939, 24329, 267, 21962, 543, 13184, 1688, 6840, 616, 693, 3152, 1981, 269, 661, 24739, 19222, 2670, 849, 13514, 513, 1981, 547, 6705, 543, 14830, 12579, 563, 292, 24739, 19222, 2670, 568, 6353, 676, 30219, 3395, 693, 1114, 3928, 8108, 538, 519, 6797, 267, 9641, 267, 543, 824, 8219, 971, 607, 519, 838, 22220, 267, 17737, 267, 2295, 563, 2704, 557, 6897, 661, 24739, 19222, 2670, 267, 4611, 689, 661, 24739, 19905, 1617, 559, 22811, 529, 11746, 19095, 267, 9072, 519, 6797, 543, 3123, 6797, 5821, 269, 634, 3968, 666, 1847, 547, 519, 9641, 543, 2634, 4929, 2860, 563, 24426, 10973, 661, 24739, 19222, 2670, 267, 513, 1267, 540, 661, 24739, 19905, 11491, 592, 657, 639, 3968, 267, 568, 519, 1034, 1455, 1106, 540, 519, 4576, 1141, 30219, 1332, 538, 519, 6797, 543, 9641, 936, 3275, 610, 1296, 543, 568, 28105, 1107, 7606, 798, 711, 8858, 2589, 1107, 2394, 519, 28144, 11851, 338, 2604, 269, 901, 1106, 540, 519, 4576, 568, 849, 1634, 607, 10281, 520, 573, 8376, 610, 3289, 520, 573, 2670, 563, 28139, 1097, 10973, 661, 24739, 19222, 2670, 267, 5097, 3361, 676, 661, 24739, 19905, 642, 690, 7942, 267, 5540, 519, 6797, 4929, 23822, 618, 543, 795, 16184, 823, 267, 607, 1134, 607, 519, 17737, 13570, 563, 21675, 666, 1331, 6391, 267, 519, 13698, 7644, 4480, 5473, 519, 14047, 675, 267, 8321, 566, 267, 13297, 267, 556, 553, 17508, 540, 519, 28144, 267, 610, 513, 1576, 540, 606, 1492, 27476, 842, 545, 5061, 563, 22879, 3346, 609, 2831, 267, 3226, 5243, 543, 2073, 325, 1301, 2831, 563, 268, 25169, 707, 3946, 8499, 543, 4749, 609, 12853, 543, 1216, 267, 2523, 1354, 8600, 1426, 269, 1403, 711, 2139, 267, 946, 606, 4568, 2861, 1688, 24846, 6500, 563, 268, 11408, 4235, 21149, 539, 1216, 543, 2057, 4189, 6151, 610, 896, 11273, 16469, 267, 5388, 267, 543, 5613, 563, 2467, 568, 1100, 15324, 6646, 610, 6669, 1996, 661, 24739, 19222, 2670, 563, 10890, 1981, 6609, 2063, 12649, 281, 4873, 476, 1626, 267, 476, 1001, 277, 454, 15575, 787, 1344, 2063, 8242, 281, 5147, 476, 275, 267, 476, 1001, 277, 454, 268, 595, 1195, 548, 18328, 269, 661, 24739, 19222, 2670, 281, 7261, 10973, 543, 1325, 557, 6897, 8376, 269, 769, 281, 808, 784, 267, 661, 282, 21862, 839, 267, 667, 267, 32308, 269, 4880, 614, 779, 29956, 15302, 269, 1715, 3840, 281, 590, 16184, 619, 29021, 282, 476, 1001, 273, 281, 476, 5392, 272, 268, 26341, 563, 268, 5651, 334, 12813, 267, 5576, 656, 345, 6751, 269, 7261, 10973, 661, 24739, 19222, 2670, 269, 769, 281, 17755, 650, 267, 589, 282, 24138, 267, 661, 282, 10830, 267, 667, 282, 21125, 267, 570, 267, 32308, 269, 28865, 781, 23427, 6925, 543, 24021, 29956, 15302, 269, 476, 280, 628, 1196, 269, 1715, 3840, 281, 590, 16184, 619, 29021, 282, 476, 1001, 274, 281, 476, 3445, 279, 268, 280, 1321, 563, 268, 1744, 656, 345, 6751, 267, 918, 1716, 623, 267, 19839, 31899, 661, 269, 661, 24739, 19222, 2670, 269, 769, 281, 2871, 518, 7949, 267, 681, 282, 21701, 667, 282, 4270, 518, 623, 267, 32308, 269, 23427, 29956, 15302, 269, 476, 274, 6113, 1196, 269, 1715, 3840, 281, 590, 16184, 619, 29021, 282, 476, 1001, 272, 281, 476, 279, 2190, 268, 279, 4343, 563, 268, 15544, 585, 8376, 6513, 543, 10644, 281, 661, 24739, 19222, 2670, 454, 268, 2622, 2657, 9257, 281, 661, 24739, 19222, 2670, 0, 1103, 835, 540, 519, 1101, 2090, 547, 1412, 1348, 262, 519, 4719, 2534, 3330, 1367, 2634, 2281, 267, 2160, 540, 16855, 5336, 611, 2581, 5778, 27023, 626, 2473, 4176, 340, 2098, 29697, 814, 4857, 519, 4719, 12227, 602, 3123, 30553, 538, 513, 1762, 8229, 1591, 269, 634, 2281, 896, 1353, 3357, 689, 519, 28481, 25283, 267, 513, 3965, 5829, 2497, 602, 568, 519, 1152, 1747, 538, 513, 25850, 781, 2634, 1141, 1007, 11409, 666, 1106, 2429, 1272, 563, 7712, 9241, 4646, 11409, 941, 4362, 538, 519, 28481, 25283, 811, 982, 476, 736, 1296, 3516, 267, 3744, 723, 4857, 519, 1082, 5107, 789, 1404, 538, 1565, 543, 3965, 269, 1717, 267, 9814, 5170, 547, 3295, 519, 4719, 8060, 602, 10038, 519, 5250, 540, 519, 10347, 3889, 543, 519, 6464, 2556, 585, 8849, 2792, 267, 2098, 29697, 3081, 563, 1103, 513, 1007, 1353, 540, 8983, 267, 23798, 7548, 2473, 4176, 340, 2098, 29697, 540, 2160, 540, 16855, 5336, 611, 2581, 14439, 4719, 2534, 538, 519, 2937, 28481, 25283, 602, 3123, 6565, 2281, 547, 9921, 883, 4628, 4646, 11409, 269, 5682, 281, 8849, 6565, 2281, 267, 930, 1114, 11868, 883, 11409, 269, 4414, 281, 1799, 1155, 11409, 563, 290, 13072, 281, 24204, 717, 7776, 267, 654, 15308, 534, 4741, 267, 2160, 540, 16855, 5336, 611, 2581, 454, 1103, 519, 476, 1960, 271, 338, 267, 2098, 29697, 5249, 607, 513, 2022, 4777, 28118, 8284, 609, 12049, 717, 720, 693, 519, 590, 1779, 4659, 585, 18143, 5525, 538, 4993, 267, 3135, 540, 14262, 8906, 593, 519, 5250, 540, 1007, 11409, 538, 519, 28481, 25283, 269, 19402, 519, 6602, 540, 713, 834, 611, 738, 5778, 2102, 8412, 2437, 3744, 2219, 602, 519, 2634, 9247, 1185, 547, 1118, 798, 609, 519, 3761, 540, 11409, 621, 9715, 693, 4332, 563, 763, 3908, 3761, 540, 1007, 11409, 602, 9428, 538, 519, 28481, 25283, 2429, 519, 14438, 814, 513, 1909, 538, 3965, 267, 543, 5310, 538, 6051, 689, 28115, 894, 2068, 563, 313, 29697, 267, 1631, 513, 7548, 540, 23798, 693, 772, 310, 5336, 611, 2581, 267, 814, 1044, 2625, 532, 519, 2937, 5778, 2102, 8412, 11015, 585, 1034, 540, 1200, 3621, 4876, 269, 834, 4407, 3843, 547, 1174, 519, 7271, 602, 21560, 2937, 5778, 2102, 8412, 267, 594, 993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 538, 519, 1507, 4884, 540, 1715, 8830, 640, 267, 12590, 267, 5030, 1614, 2828, 281, 8861, 267, 513, 6131, 2875, 282, 7338, 267, 513, 30190, 15790, 10938, 282, 543, 15656, 267, 513, 1347, 29487, 840, 12329, 269, 1452, 1614, 2828, 267, 1142, 8204, 1114, 3344, 540, 8830, 11939, 2418, 267, 4044, 730, 1272, 781, 2591, 1927, 1247, 30176, 519, 3741, 5293, 1524, 689, 741, 11937, 269, 1358, 22993, 1367, 1143, 267, 2178, 960, 7881, 267, 6612, 585, 2069, 267, 7029, 547, 3909, 5191, 267, 543, 519, 3532, 3310, 540, 4984, 780, 27880, 6068, 4974, 267, 2141, 11235, 547, 1451, 1007, 1919, 543, 4228, 1200, 1702, 269, 4173, 3237, 267, 5449, 3610, 2933, 267, 10114, 3293, 1200, 7279, 2094, 1352, 729, 1762, 269, 2290, 1554, 267, 789, 4362, 513, 10707, 5399, 729, 4947, 547, 1715, 8830, 640, 269, 19196, 1243, 569, 267, 789, 5143, 8861, 827, 621, 269, 2701, 4956, 547, 2671, 519, 3377, 609, 1200, 2828, 1282, 12129, 693, 741, 5172, 512, 11232, 333, 780, 24171, 6829, 15131, 855, 849, 6161, 267, 834, 6546, 4992, 8748, 267, 8861, 256, 1717, 267, 594, 5855, 827, 938, 8284, 12543, 945, 3112, 1224, 610, 2328, 269, 4024, 972, 581, 1022, 2621, 6322, 693, 3450, 873, 8119, 8861, 21330, 24617, 543, 6700, 12180, 1863, 2542, 543, 1603, 5049, 7258, 519, 5985, 5399, 3643, 780, 21579, 3241, 267, 4352, 3622, 11215, 267, 6659, 1776, 3390, 269, 834, 4407, 5009, 7924, 568, 1898, 267, 15210, 2828, 267, 1577, 721, 711, 7340, 519, 12178, 540, 796, 29970, 1344, 2095, 269, 1284, 1590, 2327, 602, 1018, 1004, 1224, 20383, 609, 13400, 10752, 1701, 1261, 18056, 3025, 1459, 540, 741, 2146, 781, 3838, 4978, 543, 13657, 539, 1996, 1761, 24017, 780, 7021, 515, 2130, 741, 6643, 267, 10906, 267, 519, 8227, 540, 519, 512, 11232, 333, 267, 8678, 538, 269, 1306, 606, 4830, 4807, 4881, 1200, 1378, 1870, 267, 1352, 25343, 519, 2468, 334, 781, 11428, 547, 5355, 741, 2146, 855, 14126, 827, 25412, 7453, 3909, 4808, 593, 519, 5339, 17008, 269, 2701, 21350, 5367, 1200, 4145, 9900, 2943, 16119, 267, 6031, 267, 834, 293, 12188, 267, 594, 1174, 707, 27742, 267, 855, 3314, 602, 4763, 538, 4555, 11942, 2208, 269, 2913, 781, 9784, 782, 3029, 540, 3332, 607, 1279, 607, 789, 1810, 1405, 2800, 1866, 610, 3895, 1799, 528, 1275, 1701, 8528, 5475, 1454, 4901, 267, 8861, 6069, 513, 14207, 1107, 8939, 2835, 16363, 3617, 676, 15197, 2818, 540, 741, 5939, 543, 5356, 16712, 3681, 1932, 269, 15526, 8815, 267, 19825, 8861, 781, 2702, 547, 31363, 18312, 16752, 993, 545, 2406, 780, 2026, 21339, 3459, 267, 15656, 1336, 5128, 3475, 1540, 1063, 1010, 10279, 547, 8190, 5289, 19454, 543, 18245, 1367, 5079, 269, 11531, 267, 7338, 3576, 5279, 540, 14335, 964, 802, 543, 1649, 2583, 585, 519, 4928, 14764, 267, 18507, 585, 519, 4316, 547, 4196, 1010, 2146, 3564, 1010, 15790, 18782, 11645, 780, 7661, 267, 519, 2462, 1554, 8452, 269, 4658, 1166, 18088, 547, 519, 5399, 530, 6782, 267, 8049, 1453, 538, 6287, 269, 2991, 7446, 2835, 267, 930, 18423, 1394, 585, 8861, 781, 2306, 31183, 13460, 1305, 896, 1804, 18073, 4054, 269, 3683, 942, 267, 2192, 3438, 2329, 3928, 12628, 3648, 267, 13321, 2729, 1369, 1715, 8830, 640, 780, 4913, 267, 1167, 867, 12212, 13489, 1042, 1851, 519, 10034, 27714, 950, 1978, 11786, 5931, 7902, 269, 6736, 891, 554, 27364, 5725, 267, 519, 2146, 4121, 3407, 4245, 538, 1620, 267, 10343, 267, 543, 9316, 269, 901, 1995, 22541, 741, 7554, 267, 18445, 602, 1256, 9624, 20748, 3604, 267, 9322, 1223, 7173, 841, 952, 11461, 676, 8994, 2463, 543, 17519, 2792, 780, 1103, 1813, 1576, 267, 8941, 540, 1715, 8830, 640, 6603, 15231, 10034, 267, 11121, 2147, 7341, 2066, 7810, 3013, 269, 5463, 3547, 2663, 267, 30172, 540, 1346, 2038, 2395, 13469, 9244, 267, 25967, 1681, 519, 7096, 1764, 540, 8830, 11939, 2418, 23091, 609, 22371, 543, 13784, 910, 513, 3020, 15266, 547, 14388, 1977, 6891, 29689, 609, 7326, 543, 22509, 697, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 729, 519, 9371, 540, 8830, 11939, 1143, 538, 1977, 6214, 543, 2486, 267, 543, 875, 814, 621, 6766, 1977, 3961, 543, 2418, 936, 942, 888, 303, 584, 11939, 1143, 1185, 513, 1713, 1764, 593, 1977, 6214, 267, 2486, 267, 543, 2528, 602, 1869, 19388, 619, 2221, 269, 2368, 540, 519, 9434, 23543, 540, 8830, 11939, 1143, 1331, 1384, 272, 269, 10572, 1143, 281, 8830, 30808, 12595, 1367, 1143, 543, 2123, 5539, 267, 799, 814, 1831, 513, 3844, 851, 540, 1977, 2528, 780, 273, 269, 634, 960, 2802, 545, 281, 634, 8830, 30808, 5156, 538, 2182, 960, 543, 9015, 267, 799, 814, 8329, 547, 519, 1977, 960, 2802, 545, 543, 519, 8226, 540, 1967, 1373, 13615, 547, 4674, 543, 8990, 780, 274, 269, 4065, 281, 8830, 30808, 5116, 513, 1164, 1871, 593, 2069, 267, 543, 741, 8561, 593, 1565, 5280, 1711, 519, 1977, 3872, 1062, 780, 275, 269, 16241, 5191, 281, 4014, 8830, 30808, 941, 703, 26985, 540, 824, 10764, 267, 741, 8561, 593, 1367, 5132, 543, 3909, 5191, 5129, 606, 1271, 1909, 538, 5935, 1977, 8456, 2509, 3909, 5191, 780, 276, 269, 634, 3310, 540, 4984, 281, 8830, 527, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 1012, 4197, 22039, 23586, 281, 670, 1068, 345, 547, 9253, 543, 9253, 547, 670, 1068, 345, 692, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1888, 538, 519, 1158, 540, 3280, 543, 2780, 2257, 281, 4908, 7503, 269, 1284, 786, 1451, 875, 547, 6460, 12451, 689, 670, 1068, 345, 630, 13703, 264, 547, 9253, 4336, 543, 13030, 17930, 1210, 5124, 269, 634, 9253, 4336, 568, 513, 1875, 31059, 4336, 602, 568, 1419, 1031, 538, 8301, 4393, 547, 1732, 2099, 875, 3425, 13498, 3280, 780, 2162, 670, 1068, 345, 547, 9253, 23586, 692, 295, 1068, 345, 630, 13703, 264, 568, 513, 1770, 1031, 547, 2268, 519, 4908, 540, 3280, 6329, 269, 2290, 670, 1068, 345, 568, 3160, 547, 835, 4783, 829, 2034, 269, 634, 9253, 4336, 568, 513, 1875, 31059, 4336, 602, 568, 1759, 593, 1480, 8226, 540, 3280, 269, 1677, 6460, 670, 1068, 345, 547, 9253, 267, 649, 666, 946, 519, 1739, 4542, 1384, 16465, 332, 815, 476, 12208, 278, 269, 18089, 4366, 1422, 9392, 1422, 8421, 263, 272, 1341, 1422, 2765, 346, 325, 2410, 10384, 348, 994, 9681, 3602, 1269, 325, 259, 568, 519, 4908, 538, 670, 1068, 345, 267, 543, 1269, 332, 259, 568, 519, 4908, 538, 9253, 780, 4131, 781, 1294, 875, 649, 666, 2936, 713, 4542, 538, 5124, 1210, 519, 11885, 5399, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 554, 345, 273, 17745, 6600, 2187, 825, 5727, 3519, 3200, 606, 5044, 540, 4908, 538, 21636, 883, 5283, 27969, 454, 825, 2132, 476, 12208, 278, 269, 18089, 4366, 2608, 5286, 28802, 6600, 270, 10384, 1341, 272, 994, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1599, 2387, 327, 345, 273, 17745, 319, 602, 3217, 606, 5044, 540, 12451, 538, 670, 1068, 345, 607, 3403, 543, 7024, 606, 5044, 540, 12451, 538, 9253, 269, 1284, 946, 519, 11885, 5399, 547, 1685, 519, 30233, 5106, 593, 519, 5044, 780, 2162, 9253, 547, 670, 1068, 345, 23586, 692, 2414, 6460, 9253, 1394, 547, 670, 1068, 345, 267, 649, 666, 946, 519, 1739, 4542, 1384, 16465, 325, 815, 476, 10384, 1422, 9392, 630, 324, 17353, 2765, 31551, 2410, 12208, 278, 269, 18089, 4366, 3686, 910, 476, 272, 994, 9681, 3602, 1269, 332, 259, 568, 519, 4908, 538, 9253, 267, 543, 1269, 325, 259, 568, 519, 4908, 538, 670, 1068, 345, 780, 4131, 781, 2936, 713, 4542, 538, 5124, 1384, 3499, 7090, 454, 3698, 5283, 273, 327, 345, 9852, 2187, 825, 5727, 3519, 3200, 606, 5044, 540, 4908, 538, 9253, 883, 21636, 27969, 454, 825, 2132, 630, 12639, 269, 10339, 9852, 1315, 476, 12208, 278, 269, 18089, 4366, 264, 910, 476, 272, 264, 2608, 476, 10384, 454, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1599, 2387, 17745, 273, 327, 345, 319, 602, 3217, 606, 5044, 540, 12451, 538, 9253, 607, 3403, 543, 7024, 606, 5044, 540, 12451, 538, 670, 1068, 345, 269, 1284, 946, 519, 11885, 5399, 547, 1685, 519, 12825, 5106, 593, 519, 5044, 780, 2162, 4208, 798, 649, 991, 4908, 7503, 2496, 293, 15968, 7503, 568, 606, 1271, 1523, 538, 8301, 4393, 543, 4633, 6284, 269, 634, 9253, 4336, 568, 1419, 1031, 538, 891, 3156, 1317, 621, 1732, 4564, 875, 3425, 13498, 3280, 269, 1280, 1383, 267, 3425, 616, 811, 6213, 547, 2242, 538, 4908, 693, 2539, 12451, 982, 693, 2362, 12451, 269, 1635, 14291, 12451, 547, 519, 9253, 4336, 267, 649, 666, 1732, 2099, 713, 1480, 8226, 780, 2162, 2913, 781, 6657, 2439, 3086, 602, 649, 1174, 875, 547, 6460, 12451, 689, 670, 1068, 345, 547, 9253, 543, 13030, 17930, 267, 1577, 781, 2259, 1210, 891, 3252, 780, 272, 269, 22417, 519, 4908, 476, 1911, 271, 21636, 547, 9253, 1210, 519, 2387, 327, 345, 273, 17745, 319, 1599, 563, 273, 269, 22417, 519, 4908, 476, 1220, 271, 9253, 547, 670, 1068, 345, 1210, 519, 2387, 17745, 273, 327, 345, 319, 1599, 563, 274, 269, 3503, 513, 5124, 1599, 602, 3217, 513, 4908, 538, 670, 1068, 345, 607, 3403, 543, 7024, 519, 7222, 4908, 538, 9253, 543, 670, 1068, 345, 780, 3528, 8026, 891, 5751, 267, 649, 666, 1020, 938, 7744, 543, 5690, 545, 1983, 543, 2744, 513, 4514, 1620, 540, 4908, 7503, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 692, 3698, 554, 345, 273, 17745, 6600, 2187, 825, 5727, 3519, 3200, 606, 5044, 540, 4908, 538, 21636, 883, 5283, 27969, 454, 825, 2132, 476, 12208, 278, 269, 18089, 4366, 2608, 5286, 28802, 6600, 270, 10384, 1341, 272, 2020, 3698, 5283, 273, 327, 345, 9852, 2187, 825, 5727, 3519, 3200, 606, 5044, 540, 4908, 538, 21636, 883, 5283, 27969, 454, 825, 2132, 630, 12639, 269, 10339, 9852, 1315, 476, 12208, 278, 269, 18089, 4366, 264, 910, 476, 272, 264, 2608, 476, 10384, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 14297, 2749, 540, 5842, 12770, 267, 5030, 1079, 16254, 910, 15609, 267, 606, 7118, 652, 476, 279, 628, 1178, 1457, 609, 513, 19818, 585, 1702, 267, 543, 1200, 4587, 7015, 5981, 267, 513, 1164, 1153, 9972, 945, 6068, 512, 1074, 1359, 609, 11418, 269, 4256, 3237, 941, 3744, 2324, 693, 519, 2136, 2276, 24959, 11752, 630, 4785, 14899, 1070, 1141, 789, 6594, 16767, 543, 3177, 1898, 1344, 547, 948, 1004, 5965, 585, 873, 780, 3080, 1554, 267, 1247, 9683, 741, 3237, 262, 9036, 1282, 6875, 2659, 8866, 547, 4518, 4303, 267, 15609, 543, 5981, 2968, 19832, 676, 519, 960, 741, 3237, 1705, 269, 1358, 4121, 875, 519, 2475, 14899, 6394, 1239, 827, 16767, 543, 3838, 621, 609, 2229, 8041, 543, 2950, 547, 1711, 1732, 9568, 3210, 4566, 543, 4070, 4808, 269, 2271, 29098, 267, 789, 4280, 952, 972, 729, 1022, 1259, 789, 1223, 3565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4367, 1107, 24420, 23412, 267, 1225, 2209, 267, 19971, 267, 25287, 20802, 267, 32349, 267, 9886, 16234, 267, 6280, 12200, 267, 6575, 16984, 267, 12115, 619, 267, 7855, 267, 543, 23499, 5159, 286, 5213, 1405, 5855, 952, 891, 1913, 3280, 7294, 1318, 1631, 282, 649, 3513, 2736, 873, 1524, 835, 676, 835, 780, 265, 589, 31075, 11339, 20072, 585, 14364, 24299, 269, 5994, 13167, 19929, 543, 10207, 865, 9159, 602, 11051, 3142, 873, 9800, 593, 560, 720, 2336, 265, 4354, 2209, 948, 1544, 24218, 543, 2621, 693, 15882, 610, 26847, 269, 6056, 540, 873, 607, 1650, 339, 25527, 945, 3442, 799, 1568, 540, 1148, 786, 581, 3254, 1927, 547, 6655, 1808, 4798, 610, 6835, 563, 265, 6034, 832, 3391, 22407, 1282, 31667, 1023, 543, 2982, 267, 4180, 3025, 6645, 519, 1482, 3532, 1650, 269, 16514, 3056, 707, 2828, 538, 2870, 513, 1236, 527, 585, 1153, 10198, 2336, 265, 932, 648, 20802, 1374, 7544, 9696, 585, 30145, 267, 7574, 338, 267, 610, 19194, 269, 2037, 9679, 4058, 1169, 1900, 267, 3350, 267, 543, 20014, 538, 513, 30811, 6296, 563, 265, 8606, 7825, 5474, 1463, 9413, 543, 32026, 269, 19171, 707, 4064, 543, 4952, 9013, 3388, 689, 8254, 7285, 547, 2027, 2360, 547, 6655, 2620, 4664, 563, 265, 16827, 16234, 4383, 7482, 21248, 585, 7499, 3785, 269, 3807, 4605, 4543, 1866, 1205, 2200, 2877, 547, 1118, 741, 3860, 9909, 2097, 3020, 2336, 265, 2160, 12200, 4001, 1585, 5396, 267, 1519, 1148, 267, 5935, 2104, 5481, 262, 5380, 269, 5457, 15516, 32220, 16031, 269, 1496, 7312, 11819, 781, 8745, 3910, 945, 10274, 596, 3232, 286, 2334, 781, 2147, 547, 1018, 789, 798, 2336, 265, 8551, 16984, 6023, 11889, 4247, 585, 6575, 3906, 267, 5329, 1919, 4881, 12347, 3297, 519, 10207, 269, 6333, 5883, 16131, 267, 23348, 267, 543, 10618, 585, 513, 12416, 8630, 563, 265, 1261, 531, 619, 946, 7900, 6575, 607, 3797, 267, 21528, 2043, 7231, 609, 2168, 267, 2790, 267, 610, 3929, 2591, 269, 5994, 7067, 2576, 781, 1928, 998, 7544, 267, 5152, 267, 610, 6965, 2336, 265, 30451, 899, 3610, 267, 20485, 267, 610, 30157, 946, 2773, 2553, 538, 13460, 269, 31962, 1565, 1686, 3842, 3140, 556, 523, 716, 906, 610, 3695, 3332, 609, 3988, 262, 16222, 563, 265, 5564, 573, 21326, 5159, 9192, 2789, 3029, 540, 1148, 883, 741, 13144, 269, 8347, 19424, 532, 7206, 267, 15472, 267, 13465, 267, 6730, 9117, 782, 538, 835, 6909, 4062, 2439, 1262, 763, 5295, 540, 21664, 4373, 3086, 1577, 781, 2911, 827, 5698, 269, 5620, 596, 2479, 5249, 593, 513, 1895, 1788, 1141, 3025, 8329, 1945, 2189, 286, 11554, 1927, 2636, 721, 547, 1451, 689, 1142, 824, 781, 9342, 267, 1818, 938, 3803, 1587, 1256, 1732, 982, 4376, 649, 1223, 723, 2944, 4805, 269, 1452, 5159, 1419, 12840, 1932, 267, 8108, 2445, 1161, 267, 3450, 11925, 267, 543, 5885, 1142, 824, 781, 2208, 780, 30655, 566, 849, 4523, 1063, 1114, 2686, 5389, 269, 1280, 1383, 267, 5711, 2245, 568, 606, 3504, 2259, 1141, 2984, 267, 9954, 267, 610, 4245, 616, 3838, 8231, 958, 2864, 982, 2854, 1524, 269, 7087, 2950, 5001, 1780, 1524, 7326, 998, 9275, 2262, 267, 8964, 267, 23929, 267, 543, 12738, 269, 1635, 16471, 891, 2853, 609, 4207, 2773, 6163, 267, 2221, 781, 5159, 1832, 891, 4105, 4296, 9800, 780, 1262, 18698, 4329, 4373, 2026, 649, 16833, 909, 938, 3408, 540, 2773, 543, 9423, 267, 2015, 10992, 856, 2199, 2146, 7740, 267, 8021, 267, 610, 3506, 5356, 5049, 538, 12416, 267, 7544, 267, 2575, 267, 610, 6965, 269, 12160, 908, 538, 971, 2238, 666, 1930, 9885, 547, 1007, 17052, 267, 1983, 267, 543, 2081, 540, 1620, 3054, 543, 519, 1158, 1472, 596, 269, 1924, 979, 6619, 267, 4685, 538, 267, 543, 3605, 519, 1379, 540, 2773, 1148, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4932, 2207, 294, 2894, 312, 290, 620, 30282, 1765, 2865, 540, 873, 1004, 540, 2681, 267, 2021, 267, 20404, 267, 543, 11806, 8656, 266, 11570, 24568, 2850, 8366, 20421, 24420, 23412, 267, 1225, 2209, 267, 19971, 267, 25287, 20802, 267, 32349, 267, 9886, 16234, 267, 6280, 12200, 267, 6575, 16984, 267, 12115, 619, 267, 7855, 267, 543, 23499, 5159, 269, 3509, 3136, 547, 12840, 609, 1142, 824, 543, 609, 12200, 1279, 3564, 519, 1982, 9789, 344, 4076, 4646, 2445, 1161, 267, 2813, 7376, 4036, 4293, 267, 9859, 1142, 824, 538, 4249, 267, 1500, 2575, 1927, 267, 6026, 1927, 267, 543, 32737, 2938, 538, 741, 16499, 517, 10118, 1765, 2041, 523, 4250, 1652, 1927, 269, 12989, 616, 930, 540, 519, 11570, 538, 713, 2648, 1922, 3241, 539, 3060, 540, 476, 4968, 266, 1004, 563, 3849, 514, 22255, 25301, 267, 476, 1708, 274, 1520, 514, 22255, 25301, 630, 16269, 14121, 1335, 264, 568, 513, 5856, 543, 1685, 518, 269, 1520, 514, 2306, 1148, 827, 17485, 619, 267, 519, 5686, 540, 1004, 945, 666, 1406, 1256, 7485, 621, 1927, 547, 1118, 2933, 1413, 3579, 593, 17749, 267, 855, 4171, 3178, 540, 1995, 1223, 6445, 513, 2929, 20555, 543, 28868, 269, 4256, 960, 814, 1044, 4843, 9706, 22004, 693, 1488, 338, 25429, 267, 667, 21779, 9255, 267, 9177, 6997, 700, 2975, 7225, 5459, 17341, 5783, 267, 634, 918, 9627, 267, 634, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 13437, 1315, 17327, 28673, 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, 17138, 281, 1215, 547, 5269, 14076, 2742, 630, 298, 573, 2284, 2142, 753, 4354, 787, 2020, 305, 1690, 2742, 267, 610, 8459, 10365, 1225, 787, 267, 568, 513, 2442, 3345, 4095, 8670, 602, 10905, 3940, 11656, 8459, 10365, 609, 606, 5044, 540, 14546, 269, 901, 20757, 12403, 814, 513, 3638, 267, 5394, 1178, 11803, 602, 8424, 9985, 609, 2848, 3139, 1666, 3901, 328, 7573, 610, 4232, 328, 269, 3371, 781, 938, 3102, 3391, 547, 1818, 986, 329, 2742, 693, 1753, 780, 1262, 28808, 19263, 16001, 265, 476, 273, 11680, 2699, 8459, 10365, 630, 571, 329, 2742, 1070, 865, 8898, 16074, 454, 265, 476, 272, 1804, 22323, 267, 29656, 22872, 454, 265, 476, 273, 5420, 14274, 267, 6986, 539, 454, 265, 476, 274, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 272, 10759, 20909, 267, 1295, 1027, 454, 265, 476, 273, 3039, 669, 25788, 267, 1793, 527, 454, 265, 476, 272, 23188, 524, 6058, 5452, 630, 16660, 5028, 994, 265, 476, 272, 15922, 6978, 630, 974, 329, 1273, 3279, 994, 265, 476, 272, 3109, 3556, 600, 558, 630, 321, 14508, 1714, 320, 24734, 994, 265, 476, 273, 1507, 24036, 16853, 630, 30445, 577, 7236, 994, 265, 476, 275, 268, 276, 804, 7174, 630, 5055, 2426, 994, 265, 476, 272, 23188, 29018, 8869, 630, 15595, 10972, 994, 265, 476, 272, 29537, 1351, 328, 6387, 8869, 630, 323, 7315, 807, 994, 265, 476, 272, 23188, 2699, 28306, 328, 8869, 454, 265, 476, 272, 23188, 6095, 600, 11792, 8403, 8869, 454, 265, 476, 273, 26486, 3282, 610, 575, 31649, 454, 265, 17865, 547, 6492, 454, 265, 18610, 1351, 328, 6387, 3762, 585, 21959, 880, 454, 265, 4826, 607, 2877, 692, 1262, 13420, 3612, 16001, 265, 16242, 3434, 518, 610, 2382, 656, 8000, 454, 265, 14066, 3443, 610, 737, 611, 327, 2967, 454, 265, 2349, 2658, 610, 1426, 16267, 454, 265, 1975, 520, 3121, 454, 265, 25732, 838, 9398, 692, 1262, 9743, 15297, 16001, 1262, 3721, 476, 272, 5093, 1924, 752, 26640, 2142, 753, 3683, 9519, 454, 3383, 1136, 8459, 10365, 1354, 5986, 5849, 789, 1831, 13035, 3533, 543, 14961, 269, 9255, 873, 538, 513, 1804, 12826, 267, 3382, 609, 1216, 676, 827, 1079, 6279, 267, 543, 1577, 1694, 16074, 269, 1403, 596, 7340, 713, 1900, 267, 596, 666, 849, 798, 513, 2656, 27653, 1505, 910, 14974, 519, 10365, 585, 2947, 3764, 1287, 4894, 689, 3002, 543, 1450, 873, 547, 1964, 585, 835, 5662, 269, 667, 1778, 543, 27125, 1134, 1354, 1210, 780, 1262, 3721, 476, 273, 5093, 16259, 589, 668, 1738, 12476, 454, 28959, 3282, 610, 575, 31649, 538, 513, 2604, 3434, 518, 936, 5420, 18723, 269, 5410, 524, 6058, 5452, 267, 15922, 6978, 267, 3109, 3556, 600, 558, 267, 24036, 16853, 267, 543, 804, 7174, 269, 14190, 891, 2898, 14546, 547, 521, 11170, 548, 2394, 741, 24710, 13847, 267, 799, 1058, 1491, 1472, 476, 1789, 7643, 269, 898, 1102, 4926, 8137, 883, 707, 8670, 1318, 689, 519, 1376, 780, 1262, 3721, 476, 274, 5093, 590, 2246, 2946, 2201, 687, 1299, 12275, 997, 8566, 5424, 30854, 454, 11754, 22872, 19637, 543, 1094, 583, 2946, 2394, 11344, 6960, 269, 3973, 1039, 1295, 1027, 13342, 543, 20909, 13594, 282, 13489, 4749, 585, 1776, 8792, 2394, 29549, 855, 711, 26151, 269, 1358, 1106, 519, 3490, 10366, 540, 519, 1225, 787, 780, 1262, 3721, 476, 275, 5093, 28799, 8751, 6737, 26192, 324, 1299, 16140, 1975, 1182, 454, 1805, 597, 538, 519, 6986, 539, 14274, 2059, 609, 1351, 328, 6387, 8869, 267, 29018, 8869, 267, 2699, 31625, 8869, 267, 543, 6070, 269, 13648, 2394, 519, 7848, 7140, 5102, 6853, 543, 4158, 839, 5594, 267, 10834, 519, 14546, 616, 11273, 998, 269, 7743, 569, 5986, 2666, 14546, 11151, 1022, 6151, 6492, 543, 10597, 741, 10338, 883, 519, 8670, 780, 1262, 3721, 476, 276, 5093, 16242, 13648, 634, 23123, 454, 291, 1778, 519, 865, 8898, 8459, 10365, 543, 3575, 873, 883, 519, 5423, 14036, 269, 32449, 2614, 1216, 1175, 547, 21477, 613, 782, 5820, 269, 19171, 519, 19984, 540, 519, 2604, 3434, 518, 267, 1747, 519, 27646, 267, 543, 3434, 896, 1164, 2604, 585, 827, 2185, 627, 30178, 630, 528, 2687, 547, 10672, 781, 5528, 952, 1210, 3167, 2604, 3434, 619, 899, 2382, 656, 8000, 1040, 7849, 5305, 1310, 5986, 2636, 7850, 942, 585, 519, 10365, 547, 10110, 10366, 4628, 780, 1262, 3721, 476, 277, 5093, 17797, 3117, 29548, 1299, 17897, 532, 454, 15411, 519, 3434, 518, 2899, 2922, 269, 6744, 2436, 519, 10365, 616, 2571, 543, 1660, 1506, 269, 1403, 2838, 267, 4188, 11007, 4946, 811, 1216, 4470, 2390, 9053, 11098, 540, 707, 1178, 11803, 269, 570, 933, 752, 4005, 902, 952, 2556, 269, 7053, 267, 20057, 548, 6095, 600, 11792, 8403, 8869, 543, 3575, 9900, 269, 5457, 267, 512, 8463, 568, 2629, 1934, 1317, 1367, 7375, 2509, 24996, 2157, 4268, 3648, 780, 1262, 3721, 476, 278, 5093, 717, 7568, 880, 1299, 31160, 454, 9558, 2536, 519, 11273, 986, 329, 2742, 547, 513, 7674, 8670, 269, 717, 7568, 880, 1252, 3585, 609, 28448, 22872, 1351, 328, 6387, 3762, 269, 17949, 3636, 7258, 2848, 5446, 3905, 1666, 3901, 328, 7573, 610, 4232, 529, 2439, 1262, 7659, 9669, 1299, 13832, 16001, 268, 11408, 4990, 998, 12015, 22053, 1354, 865, 1136, 547, 4894, 1022, 10007, 610, 11935, 563, 268, 1924, 1136, 6971, 20239, 919, 1459, 538, 10365, 267, 5355, 7558, 2225, 543, 8770, 8244, 563, 268, 4635, 513, 11100, 540, 3282, 543, 575, 31649, 2488, 3178, 540, 8137, 1247, 5329, 8477, 538, 2638, 563, 268, 2755, 8600, 13342, 268, 3101, 518, 13594, 267, 1118, 2386, 972, 616, 1100, 561, 7927, 3116, 789, 1522, 6633, 1282, 5986, 4929, 15280, 1145, 563, 268, 1280, 23704, 9403, 267, 596, 949, 3442, 547, 11100, 3368, 540, 519, 11273, 10365, 609, 930, 1216, 543, 2132, 1394, 547, 519, 1494, 563, 268, 700, 1030, 1729, 951, 4558, 1134, 14023, 730, 909, 547, 1614, 2395, 269, 5131, 2763, 13980, 585, 3476, 15808, 1272, 269, 1234, 515, 908, 1522, 2154, 30034, 1524, 609, 3606, 5277, 1813, 547, 12842, 7509, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 14076, 2742, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 6092, 5149, 281, 4065, 543, 674, 18017, 18830, 1133, 325, 1515, 9615, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 827, 19815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 581, 22466, 543, 616, 711, 2838, 547, 581, 8763, 950, 1031, 538, 513, 12809, 4070, 563, 6944, 1503, 543, 7440, 454, 2750, 14032, 7440, 666, 1852, 513, 11550, 1641, 1369, 606, 7755, 9417, 3483, 16083, 1210, 21044, 1852, 269, 11550, 666, 849, 581, 6417, 676, 606, 4835, 610, 5007, 4661, 269, 13018, 267, 8763, 543, 17697, 7440, 666, 1852, 11550, 538, 3483, 21291, 912, 5445, 328, 4421, 519, 2835, 1496, 24165, 328, 547, 1118, 7443, 14073, 6781, 913, 267, 789, 568, 519, 17120, 585, 11550, 267, 543, 11550, 568, 26159, 602, 789, 616, 519, 3283, 945, 1705, 621, 547, 1118, 519, 7443, 269, 769, 713, 2013, 267, 519, 8763, 4661, 540, 519, 4845, 568, 789, 269, 769, 519, 12809, 267, 7440, 666, 1256, 1852, 513, 11550, 1641, 1510, 2348, 606, 8763, 5007, 4661, 267, 1317, 621, 568, 1869, 972, 17697, 569, 563, 763, 2835, 941, 4421, 29313, 328, 1496, 11550, 328, 547, 1118, 2724, 14073, 6781, 913, 267, 29313, 568, 519, 4704, 547, 11550, 1317, 519, 2835, 4769, 1405, 6133, 2933, 547, 1118, 2724, 267, 2576, 267, 945, 519, 3705, 614, 540, 519, 4845, 6487, 6818, 17697, 569, 267, 4421, 873, 269, 769, 519, 12809, 267, 11550, 568, 1869, 2111, 547, 581, 6417, 1256, 1510, 2348, 606, 8763, 4661, 563, 6944, 1503, 5759, 666, 849, 581, 3908, 609, 17697, 7440, 538, 519, 12809, 269, 1323, 17697, 1641, 3112, 1852, 11550, 538, 519, 2013, 540, 546, 527, 4920, 1438, 543, 1641, 1852, 13450, 269, 901, 568, 12211, 1394, 547, 12809, 3350, 269, 9603, 547, 519, 9870, 2944, 547, 1205, 562, 7631, 894, 2013, 267, 519, 2212, 570, 568, 1100, 3476, 538, 606, 13531, 2078, 609, 519, 17697, 1641, 267, 799, 1797, 602, 519, 17697, 1641, 666, 1100, 3476, 1852, 11550, 2901, 563, 265, 27880, 729, 16219, 630, 2421, 15535, 328, 264, 1496, 24165, 328, 547, 979, 593, 513, 16314, 24358, 1103, 519, 12809, 267, 519, 21044, 1843, 666, 581, 519, 17120, 1317, 621, 568, 1869, 4448, 538, 6876, 563, 27880, 328, 729, 7479, 12184, 1496, 24165, 328, 547, 979, 593, 16314, 14073, 5278, 2303, 602, 519, 2702, 547, 1852, 568, 1813, 547, 17697, 7440, 9013, 998, 513, 21044, 1852, 267, 2864, 982, 606, 4661, 1852, 899, 2407, 7440, 563, 3528, 2453, 538, 519, 12809, 454, 5194, 4183, 540, 519, 12809, 568, 519, 18593, 676, 8360, 269, 634, 676, 8360, 568, 1141, 519, 5007, 4661, 666, 581, 12799, 6829, 269, 901, 676, 8360, 6411, 607, 606, 7755, 9417, 547, 519, 8231, 543, 568, 8655, 23940, 5107, 602, 1131, 7363, 581, 8655, 11992, 538, 519, 4845, 267, 4481, 621, 3217, 519, 23940, 1909, 540, 519, 3742, 1641, 563, 307, 18223, 17696, 519, 2063, 4062, 540, 29221, 331, 6072, 269, 630, 5562, 994, 763, 2063, 4062, 540, 29221, 331, 6072, 729, 13881, 1496, 2421, 570, 18223, 4940, 630, 10139, 633, 994, 1103, 519, 12809, 267, 519, 23940, 1909, 540, 8665, 568, 1373, 2016, 547, 570, 18223, 538, 519, 676, 8360, 267, 519, 1482, 607, 621, 5892, 1185, 538, 519, 3742, 1641, 269, 1452, 676, 2453, 616, 7923, 547, 519, 20429, 303, 2212, 543, 616, 2027, 547, 1780, 1161, 563, 31161, 618, 538, 519, 12809, 454, 1103, 932, 1682, 5652, 781, 30462, 8239, 267, 519, 1739, 1383, 540, 513, 12809, 609, 519, 25581, 581, 543, 513, 676, 8360, 267, 3947, 519, 1482, 2542, 607, 538, 606, 3742, 4845, 563, 313, 523, 14113, 31561, 1242, 19332, 269, 630, 5562, 994, 25519, 14008, 729, 31561, 1242, 676, 24789, 14113, 269, 630, 10139, 633, 994, 25519, 14008, 799, 19500, 607, 519, 1463, 1843, 538, 519, 3742, 1106, 267, 607, 519, 4835, 4661, 267, 7575, 689, 519, 1463, 1843, 540, 519, 8231, 883, 519, 1641, 2990, 538, 519, 12809, 585, 1079, 4128, 269, 634, 1101, 2601, 568, 547, 14183, 519, 661, 13048, 630, 2169, 2105, 16879, 6240, 264, 543, 1287, 2034, 568, 547, 1205, 8865, 267, 2094, 538, 922, 32096, 1106, 267, 519, 8231, 3112, 2285, 8865, 547, 24789, 14113, 269, 24789, 14113, 11392, 562, 7631, 894, 8865, 689, 519, 13113, 5442, 14566, 267, 519, 2212, 540, 519, 8713, 563, 31161, 618, 1281, 711, 2141, 1491, 1747, 538, 519, 12809, 1498, 649, 1294, 621, 1419, 609, 676, 14428, 29320, 269, 901, 568, 1317, 3350, 1152, 3217, 1747, 950, 513, 26128, 5673, 593, 519, 8231, 547, 1205, 8865, 269, 1703, 616, 8320, 540, 519, 12809, 602, 798, 711, 946, 3350, 563, 8253, 782, 13450, 538, 2296, 666, 581, 1780, 643, 1242, 563, 4462, 3147, 639, 894, 13450, 798, 711, 1106, 513, 12809, 538, 2296, 563, 265, 2005, 729, 27315, 1540, 3533, 563, 1103, 519, 12809, 519, 5007, 4661, 568, 26793, 267, 855, 538, 796, 3147, 639, 894, 13450, 267, 972, 568, 1100, 5007, 4661, 547, 581, 26793, 269, 5502, 741, 1641, 4661, 3622, 6411, 607, 519, 1843, 543, 1287, 7575, 547, 519, 1641, 2990, 547, 1205, 8865, 269, 769, 519, 1383, 1657, 267, 596, 666, 1294, 602, 519, 1641, 621, 6410, 689, 519, 1843, 2990, 547, 519, 1641, 269, 901, 568, 7152, 538, 519, 10250, 2630, 267, 1141, 519, 10250, 630, 16210, 264, 568, 2451, 3297, 950, 519, 2262, 621, 7575, 547, 519, 4395, 540, 519, 4845, 883, 1641, 2990, 1141, 621, 11392, 2013, 563, 314, 9573, 1496, 9143, 314, 29262, 729, 27315, 1540, 3533, 314, 7894, 621, 14963, 316, 14073, 314, 9573, 314, 9143, 898, 328, 1496, 29262, 729, 27315, 1540, 3533, 314, 7894, 27764, 14963, 316, 14073, 3080, 4661, 1210, 519, 7828, 540, 5042, 8239, 6811, 602, 713, 568, 1813, 547, 875, 25581, 581, 3252, 538, 519, 12809, 269, 13797, 2060, 519, 25581, 581, 267, 519, 12809, 2115, 547, 723, 513, 3461, 4661, 269, 1133, 1120, 894, 13450, 602, 1131, 1106, 606, 791, 5966, 12809, 798, 711, 723, 513, 3461, 4661, 267, 865, 519, 12809, 666, 1405, 581, 4646, 269, 769, 10656, 267, 519, 581, 8231, 3252, 8335, 267, 865, 602, 519, 8665, 568, 2141, 1459, 269, 4475, 267, 538, 10656, 267, 519, 12809, 3085, 1405, 2154, 513, 3461, 4661, 563, 5194, 2070, 568, 602, 621, 814, 547, 798, 609, 8865, 269, 13018, 267, 519, 17418, 540, 703, 4920, 1438, 13450, 547, 3651, 8865, 269, 4595, 703, 4920, 1438, 13450, 798, 711, 723, 3615, 267, 789, 1810, 1405, 3651, 8865, 269, 1403, 519, 8231, 666, 1405, 3651, 8865, 267, 1287, 8865, 3112, 581, 5833, 676, 519, 12809, 282, 865, 789, 666, 1405, 581, 1780, 643, 1242, 269, 901, 2070, 6811, 602, 538, 4436, 543, 10656, 267, 519, 13450, 616, 7293, 2013, 3651, 619, 799, 568, 1946, 789, 616, 2111, 547, 1780, 643, 1242, 538, 1346, 4654, 563, 5194, 8865, 5829, 4661, 9775, 5594, 267, 1869, 3858, 532, 602, 1100, 12809, 666, 581, 4646, 2094, 519, 8231, 814, 1100, 1843, 267, 2495, 1100, 2013, 666, 581, 8655, 269, 1717, 267, 519, 3017, 538, 713, 4661, 568, 538, 519, 2079, 540, 875, 519, 791, 5966, 12809, 1568, 538, 10656, 543, 4436, 269, 769, 713, 8865, 5829, 4661, 267, 21662, 630, 2735, 276, 264, 6811, 602, 4436, 543, 10656, 946, 546, 894, 2013, 267, 11130, 547, 581, 606, 7915, 8865, 630, 10472, 568, 689, 932, 1682, 5652, 781, 30462, 8239, 543, 1797, 602, 1808, 13450, 3651, 1808, 7440, 543, 23940, 268, 549, 956, 264, 593, 741, 13450, 267, 2495, 891, 13450, 666, 581, 2322, 538, 519, 12809, 563, 763, 4128, 1978, 13450, 3112, 581, 1780, 643, 1242, 568, 711, 1175, 1759, 593, 16105, 282, 972, 616, 23066, 4128, 3297, 741, 17418, 547, 1780, 643, 1125, 607, 1134, 563, 23192, 519, 1205, 12809, 729, 9763, 607, 1776, 8390, 540, 519, 581, 12809, 538, 2296, 269, 898, 729, 10924, 547, 1599, 519, 3169, 1482, 607, 519, 581, 12809, 267, 1175, 1210, 519, 8231, 1205, 538, 1747, 540, 25581, 581, 269, 4653, 713, 568, 513, 1888, 540, 4901, 1851, 8059, 1235, 945, 723, 7074, 602, 972, 616, 1883, 3604, 1063, 519, 2623, 540, 513, 581, 12809, 543, 513, 1205, 12809, 563, 6944, 1503, 543, 8665, 2623, 538, 1205, 1780, 1161, 454, 314, 14976, 548, 328, 3893, 11550, 328, 21534, 27764, 2639, 6781, 913, 267, 11550, 814, 547, 3277, 547, 4432, 548, 267, 1818, 621, 513, 1641, 1852, 8231, 269, 634, 581, 12809, 1281, 711, 1450, 585, 1641, 1852, 269, 634, 3461, 538, 519, 1205, 12809, 568, 1419, 2938, 607, 1373, 547, 16620, 585, 519, 2680, 610, 2962, 9648, 267, 811, 865, 982, 538, 519, 581, 12809, 269, 634, 1205, 12809, 3461, 4667, 547, 1491, 593, 811, 5539, 538, 6935, 547, 519, 2680, 540, 519, 4845, 563, 27746, 3893, 18486, 563, 27746, 729, 18486, 563, 1103, 519, 1205, 12809, 4528, 267, 972, 568, 930, 22466, 2179, 540, 12477, 585, 1373, 18486, 267, 607, 952, 6307, 1705, 1945, 547, 2014, 1200, 1373, 18486, 267, 1818, 621, 811, 5702, 1644, 547, 519, 2680, 540, 1373, 18486, 267, 3379, 547, 519, 588, 894, 581, 12809, 799, 3085, 1405, 1921, 1394, 547, 519, 2680, 267, 855, 568, 588, 894, 269, 901, 568, 1317, 538, 1205, 1780, 1161, 972, 568, 513, 3661, 602, 519, 2627, 1641, 666, 581, 4857, 607, 513, 6281, 8665, 267, 855, 713, 568, 711, 606, 2139, 2542, 538, 519, 581, 12809, 563, 26855, 3701, 607, 606, 740, 915, 2526, 12809, 454, 5278, 8059, 1235, 8044, 602, 519, 1205, 12809, 568, 2965, 606, 740, 915, 2526, 12809, 267, 1818, 621, 711, 513, 3020, 12809, 543, 1114, 689, 581, 563, 18128, 2064, 585, 519, 1205, 12809, 607, 606, 740, 915, 2526, 12809, 2501, 689, 1806, 1141, 1205, 1780, 1161, 616, 711, 4847, 547, 2408, 543, 798, 711, 13789, 607, 513, 581, 12809, 267, 799, 616, 7152, 2630, 912, 288, 7217, 14114, 686, 5034, 2494, 1676, 1520, 14620, 10118, 454, 265, 763, 1433, 3893, 14324, 593, 3483, 563, 265, 763, 6928, 3893, 3141, 330, 1496, 24165, 270, 1815, 264, 547, 2445, 519, 6142, 2724, 14073, 265, 763, 1426, 630, 325, 3373, 264, 3893, 6039, 27883, 24165, 270, 1815, 264, 9054, 9934, 14073, 265, 15933, 1058, 2760, 1205, 6039, 1152, 585, 13951, 563, 4913, 267, 972, 616, 8320, 1141, 519, 1657, 1806, 723, 513, 1205, 12809, 602, 568, 4847, 538, 519, 2010, 540, 25481, 1657, 267, 543, 513, 581, 12809, 602, 568, 711, 269, 5015, 267, 1205, 1780, 1161, 1450, 519, 946, 540, 519, 676, 14428, 19189, 538, 519, 1482, 2175, 607, 519, 581, 12809, 563, 763, 7803, 3893, 18486, 676, 6307, 563, 1607, 568, 1945, 602, 2356, 3884, 1405, 2938, 609, 3020, 740, 915, 2526, 1780, 1161, 269, 1452, 18765, 2322, 519, 2856, 602, 519, 1205, 12809, 949, 581, 606, 740, 915, 2526, 12809, 896, 2243, 563, 29557, 5639, 543, 1780, 2526, 3097, 763, 2165, 1647, 5639, 568, 3006, 1031, 547, 3277, 547, 13450, 1031, 1510, 513, 12809, 4070, 267, 855, 538, 513, 2495, 1141, 519, 21342, 1641, 568, 6956, 607, 18460, 519, 2962, 269, 634, 2495, 949, 581, 16846, 633, 912, 268, 12049, 695, 8491, 267, 1775, 4318, 269, 12049, 695, 8491, 5128, 454, 8117, 568, 711, 2141, 912, 268, 1452, 25394, 6133, 1134, 267, 1775, 4318, 269, 1496, 933, 316, 6133, 891, 25394, 1496, 338, 15471, 2685, 2639, 268, 634, 9660, 616, 865, 1136, 267, 1775, 4318, 269, 1496, 1492, 1216, 316, 568, 865, 1136, 519, 9660, 454, 22746, 13450, 949, 849, 581, 1572, 1780, 2526, 563, 5194, 4070, 3006, 5219, 547, 607, 1780, 2526, 3322, 513, 9962, 1362, 540, 13450, 267, 543, 729, 1031, 538, 2296, 2394, 519, 13524, 2540, 269, 29941, 2348, 713, 4070, 4183, 11636, 2460, 543, 18613, 519, 3742, 5639, 267, 855, 609, 2495, 899, 519, 12809, 269, 6201, 540, 713, 1131, 581, 912, 268, 634, 2777, 568, 2679, 269, 630, 19640, 2296, 281, 634, 2777, 568, 1373, 3710, 994, 268, 634, 7594, 568, 4189, 269, 630, 19640, 2296, 281, 634, 7594, 568, 1373, 13881, 994, 288, 4686, 1383, 540, 519, 1780, 2526, 1106, 1373, 1031, 538, 2413, 2296, 568, 609, 519, 1739, 8360, 912, 268, 634, 27120, 616, 25588, 267, 1775, 4318, 269, 519, 27120, 616, 1373, 29041, 454, 1607, 1780, 2526, 4070, 729, 19774, 1282, 519, 3735, 476, 1240, 628, 543, 2038, 476, 866, 628, 2540, 676, 519, 11636, 12809, 630, 1492, 1106, 568, 1373, 3710, 607, 2016, 1657, 1040, 634, 21342, 640, 540, 519, 11636, 12809, 267, 1572, 676, 930, 519, 834, 574, 704, 2739, 12809, 2437, 729, 11786, 1851, 6121, 332, 12579, 538, 519, 476, 866, 628, 2540, 267, 855, 568, 7608, 1510, 2243, 2221, 269, 898, 814, 1044, 6700, 602, 519, 12809, 11636, 7902, 1175, 547, 519, 7532, 540, 30290, 543, 729, 2442, 1242, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2745, 3488, 29551, 8563, 29391, 4138, 16021, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 18194, 4709, 3264, 13953, 5073, 333, 815, 703, 9272, 15405, 320, 815, 18358, 294, 3299, 1412, 290, 3299, 1412, 309, 23300, 1721, 1775, 538, 2039, 3799, 2187, 825, 513, 314, 271, 3910, 513, 314, 272, 3910, 513, 314, 273, 316, 815, 513, 314, 273, 3910, 513, 314, 271, 3910, 513, 314, 272, 2639, 2745, 5416, 994, 0, 5814, 2415, 27785, 454, 5814, 795, 5459, 692, 5228, 795, 5459, 1104, 32227, 13356, 18344, 7531, 3698, 795, 5459, 318, 528, 23919, 263, 1173, 267, 795, 5459, 318, 20657, 18344, 284, 329, 5459, 269, 2903, 338, 2187, 825, 5727, 303, 12838, 11378, 602, 666, 581, 2901, 795, 5459, 610, 5569, 607, 795, 5459, 952, 621, 5654, 899, 32227, 6382, 5569, 12163, 825, 568, 19553, 5459, 815, 7003, 263, 1173, 21858, 2891, 346, 257, 4297, 3436, 476, 272, 610, 7003, 263, 1173, 21858, 2891, 14277, 4297, 3436, 476, 272, 454, 825, 952, 568, 19553, 5459, 912, 1038, 2132, 795, 5459, 318, 20657, 18344, 263, 1173, 994, 825, 2132, 2415, 21858, 2891, 834, 9239, 3698, 795, 5459, 18316, 318, 528, 19553, 5459, 263, 1173, 267, 795, 5459, 318, 20657, 18344, 284, 329, 5459, 269, 2903, 338, 2187, 825, 5727, 303, 12838, 4661, 676, 2542, 621, 568, 513, 795, 5459, 5569, 543, 952, 602, 14543, 607, 513, 3758, 2619, 547, 513, 795, 5459, 3758, 27969, 454, 825, 568, 19553, 5459, 815, 7003, 263, 1173, 21858, 2891, 346, 257, 4297, 3436, 476, 272, 610, 7003, 263, 1173, 21858, 2891, 14277, 4297, 3436, 476, 272, 454, 825, 952, 568, 19553, 5459, 912, 1038, 2132, 795, 5459, 318, 20657, 18344, 263, 1173, 2020, 825, 609, 1930, 263, 1173, 267, 834, 337, 8442, 607, 795, 5459, 18316, 912, 1038, 795, 5459, 318, 719, 815, 795, 5459, 269, 2903, 27203, 5459, 18316, 994, 825, 2132, 795, 5459, 318, 719, 7531, 3698, 795, 5459, 18316, 318, 528, 19553, 5459, 318, 684, 1664, 318, 12399, 263, 1173, 2187, 825, 5727, 303, 12838, 513, 795, 5459, 3758, 610, 5569, 543, 1118, 1022, 26134, 10569, 2189, 676, 813, 2056, 910, 328, 585, 1775, 689, 476, 271, 547, 715, 20701, 825, 1219, 1118, 318, 684, 1664, 31107, 267, 546, 551, 2187, 1038, 4831, 815, 476, 271, 454, 1038, 2189, 318, 4486, 815, 1883, 692, 1038, 1247, 2189, 318, 4486, 538, 546, 551, 912, 2018, 4831, 6834, 476, 272, 454, 2018, 2189, 318, 4486, 815, 834, 346, 18511, 24001, 2668, 8971, 31107, 267, 4831, 994, 1038, 2132, 2189, 318, 4486, 692, 825, 1219, 1612, 572, 318, 15953, 7272, 4202, 9638, 4202, 2187, 1038, 546, 551, 815, 9598, 4590, 1038, 585, 1883, 267, 1871, 538, 8424, 912, 2018, 952, 1883, 538, 546, 551, 912, 3546, 1883, 815, 1118, 318, 684, 1664, 31107, 267, 546, 551, 994, 2018, 546, 551, 314, 4486, 316, 815, 1871, 692, 1038, 2132, 546, 551, 692, 825, 1232, 18344, 815, 32227, 13356, 18344, 24998, 7272, 4202, 20189, 809, 284, 27785, 318, 15953, 7272, 4202, 994, 825, 2132, 795, 5459, 18316, 318, 528, 19553, 5459, 263, 1173, 267, 795, 5459, 318, 20657, 18344, 284, 20657, 18344, 19709, 13892, 9239, 3698, 1193, 273, 321, 944, 263, 1173, 2187, 825, 5727, 303, 12838, 513, 5569, 4661, 547, 536, 944, 780, 825, 1677, 581, 1031, 607, 912, 1038, 16163, 518, 14491, 318, 30348, 3488, 734, 16341, 318, 12534, 3299, 1826, 284, 1598, 273, 321, 944, 267, 9949, 25716, 267, 1526, 18989, 2020, 825, 14803, 3701, 16163, 539, 547, 1412, 12148, 262, 630, 13826, 1202, 17567, 2187, 1038, 4534, 16341, 318, 12534, 3020, 454, 1038, 4534, 16341, 318, 12534, 512, 454, 1038, 4534, 16341, 318, 12534, 9811, 454, 1038, 4534, 16341, 318, 12534, 586, 454, 1038, 4534, 16341, 318, 12534, 476, 272, 692, 825, 14803, 3701, 16163, 539, 547, 1412, 16178, 262, 630, 13826, 1202, 17567, 2187, 1038, 4534, 16341, 318, 12534, 7301, 454, 1038, 4534, 16341, 318, 12534, 535, 454, 1038, 4534, 16341, 318, 12534, 1100, 454, 1038, 4534, 16341, 318, 12534, 562, 454, 1038, 4534, 16341, 318, 12534, 476, 271, 692, 825, 6423, 4179, 2517, 23637, 1478, 6503, 2593, 21669, 270, 275, 3451, 6872, 280, 7918, 270, 22213, 28590, 279, 454, 825, 8173, 825, 952, 568, 27349, 263, 1173, 267, 536, 944, 2187, 1038, 2132, 2415, 454, 825, 952, 2415, 31573, 3890, 538, 9497, 13433, 2580, 834, 25152, 2580, 834, 339, 2580, 834, 344, 2580, 834, 272, 257, 2187, 1038, 2132, 6936, 454, 825, 8640, 2415, 31573, 3890, 538, 9497, 7224, 2580, 834, 32401, 2580, 834, 325, 2580, 834, 333, 2580, 834, 271, 257, 2187, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 6318, 2415, 27785, 269, 26855, 2163, 13911, 13286, 6600, 257, 27745, 711, 1612, 572, 4661, 2715, 1173, 348, 540, 1826, 2715, 6943, 263, 1173, 14587, 5602, 0, 5814, 942, 5897, 5228, 21276, 1104, 20304, 5897, 3698, 1397, 28442, 8029, 825, 585, 1535, 538, 2039, 263, 1015, 8029, 1038, 1820, 2891, 4067, 281, 346, 13157, 285, 343, 281, 24001, 2668, 8971, 28442, 21726, 17903, 1038, 942, 4732, 2748, 263, 271, 269, 272, 3418, 825, 2132, 834, 16043, 495, 15159, 281, 257, 1341, 2012, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 9899, 5897, 825, 2012, 8217, 815, 22373, 19764, 510, 4970, 487, 2580, 834, 23521, 492, 18713, 505, 2580, 834, 27064, 489, 11590, 498, 257, 15947, 825, 609, 20304, 269, 1320, 1348, 303, 944, 2750, 1815, 12460, 32384, 318, 32305, 284, 1015, 264, 607, 4291, 12460, 6769, 1038, 2104, 15461, 12173, 815, 4291, 12460, 6230, 777, 263, 19651, 267, 2012, 8217, 3418, 1038, 1820, 6600, 1956, 15461, 12173, 3418, 1038, 585, 2104, 538, 2104, 15461, 12173, 6769, 2018, 1820, 6600, 1956, 3418, 825, 1820, 2891, 19203, 323, 821, 256, 19203, 8442, 0, 258, 396, 352, 4736, 6459, 13833, 21162, 13953, 16068, 10528, 3264, 13077, 4344, 18775, 454, 258, 396, 501, 3522, 28027, 10948, 3522, 454, 258, 396, 507, 3522, 10528, 4138, 20732, 4138, 16021, 16044, 482, 7846, 4709, 7549, 30530, 19628, 2638, 318, 604, 9078, 784, 19572, 17095, 3378, 26580, 13077, 9326, 25338, 7846, 9686, 20046, 16068, 10528, 16417, 9686, 3264, 31124, 31224, 267, 18194, 20434, 4709, 21162, 13953, 16044, 482, 4138, 23783, 9261, 15800, 20434, 14359, 20046, 269, 2843, 353, 4138, 23783, 9261, 9924, 267, 15800, 9686, 7846, 27569, 4138, 3264, 20413, 12811, 9841, 20732, 3264, 18194, 8563, 7846, 17153, 24893, 3522, 4736, 13833, 25338, 7846, 9686, 27671, 21660, 13194, 9924, 8563, 28476, 17095, 18775, 30324, 24012, 9261, 4138, 267, 25602, 16068, 13150, 3522, 23783, 21162, 3264, 2443, 18194, 20434, 4709, 21162, 9261, 4138, 563, 258, 396, 353, 7846, 4709, 7549, 30530, 9326, 18194, 17201, 21833, 20265, 10780, 23485, 17221, 9261, 28476, 21660, 11714, 17153, 19757, 18194, 20434, 4709, 7846, 16044, 482, 4138, 23783, 9261, 3522, 15800, 10780, 3264, 10948, 19277, 28476, 21660, 16044, 491, 7549, 13077, 4709, 3264, 912, 258, 396, 353, 4138, 23783, 9261, 18194, 20434, 4709, 21162, 13953, 563, 258, 4138, 20434, 454, 258, 396, 353, 4138, 23783, 9261, 17095, 18775, 30324, 24012, 13953, 780, 3698, 2638, 318, 604, 9078, 784, 10857, 2654, 2187, 825, 952, 3259, 2999, 476, 6344, 912, 1038, 1820, 3488, 396, 353, 4138, 23783, 9261, 17095, 18775, 30324, 24012, 13953, 269, 5073, 825, 3116, 912, 1038, 1820, 3488, 396, 353, 4138, 23783, 9261, 18194, 20434, 4709, 21162, 13953, 9538, 2020, 8931, 2745, 3488, 396, 494, 4814, 28821, 13150, 5073, 13765, 318, 604, 9078, 784, 263, 9834, 994, 2745, 3488, 396, 497, 20977, 9686, 4138, 19277, 18775, 5073, 13765, 318, 604, 9078, 784, 263, 14028, 264, 0, 258, 396, 508, 10528, 25986, 3522, 16021, 23783, 20265, 9326, 11012, 4344, 19277, 4138, 13150, 4138, 18547, 454, 258, 396, 501, 3522, 28027, 10948, 3522, 273, 1315, 476, 278, 454, 258, 396, 507, 3522, 13953, 9686, 4138, 16021, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 21170, 3264, 11714, 16417, 9261, 9326, 29824, 25974, 6459, 7846, 20732, 4138, 27593, 17221, 9326, 10780, 27799, 17221, 11714, 2843, 370, 31606, 16417, 1402, 269, 29112, 3378, 17153, 13077, 17221, 16021, 476, 16417, 13194, 7846, 23783, 4344, 19277, 11714, 10780, 3264, 16417, 9261, 12811, 4709, 26281, 1402, 8548, 639, 545, 26174, 4671, 4973, 318, 2452, 15800, 11714, 9924, 8563, 29391, 4138, 16021, 31128, 397, 495, 23970, 20265, 10948, 23845, 3264, 21660, 16044, 491, 7549, 13077, 4709, 780, 5814, 21795, 607, 19073, 454, 4206, 815, 19073, 18667, 32269, 3488, 16443, 545, 318, 8421, 318, 1575, 323, 27406, 17210, 16647, 8548, 639, 545, 815, 17093, 27883, 4206, 9131, 2102, 516, 12173, 11172, 2652, 1412, 16647, 10807, 1299, 630, 4206, 9131, 20135, 318, 2452, 26000, 6948, 11172, 11203, 476, 271, 22708, 28744, 9638, 641, 8548, 639, 545, 23584, 263, 736, 4917, 28744, 10797, 258, 17095, 19757, 14359, 4138, 21833, 3264, 454, 16647, 8548, 639, 545, 26174, 4671, 4973, 318, 2452, 815, 1402, 8548, 639, 545, 9131, 20135, 318, 2452, 26000, 6948, 262, 4940, 10946, 4590, 258, 16647, 8548, 639, 545, 26174, 4671, 4973, 318, 2452, 815, 17093, 27883, 4206, 9131, 2102, 516, 12173, 11172, 2652, 1412, 16647, 10807, 6012, 262, 20135, 318, 2452, 26000, 6948, 262, 4940, 10946, 4590, 2745, 9638, 641, 8548, 639, 545, 26174, 4671, 4973, 318, 2452, 2020, 0, 258, 274, 269, 2843, 506, 20046, 19757, 9924, 11714, 5124, 692, 258, 396, 350, 20265, 10948, 3522, 20977, 18194, 3522, 27593, 13953, 16021, 21660, 7846, 10948, 4138, 9261, 31502, 11012, 18775, 28821, 4814, 13833, 28476, 16068, 16648, 9924, 10948, 21162, 3264, 11012, 10528, 25986, 24012, 24893, 25986, 3264, 6459, 269, 2843, 498, 31124, 16044, 491, 4344, 22147, 3378, 11714, 5124, 11012, 7846, 27569, 3264, 13150, 8563, 7846, 20046, 16044, 482, 7846, 4709, 7549, 30530, 9326, 4990, 3890, 630, 31606, 15671, 6459, 269, 4990, 267, 16938, 4736, 18775, 28821, 4814, 13833, 28476, 14872, 17107, 655, 19390, 1460, 12304, 815, 1496, 454, 825, 476, 273, 269, 2918, 267, 476, 866, 269, 272, 267, 476, 1839, 269, 277, 267, 476, 22001, 269, 271, 267, 476, 1428, 269, 273, 267, 476, 2420, 269, 278, 267, 476, 5038, 269, 277, 267, 476, 9262, 269, 276, 267, 476, 277, 269, 10037, 267, 476, 277, 269, 271, 2676, 825, 476, 275, 269, 7761, 267, 476, 2190, 269, 278, 267, 476, 2641, 269, 278, 267, 476, 1015, 269, 271, 267, 476, 14093, 269, 271, 267, 476, 274, 269, 4029, 267, 476, 2537, 269, 272, 267, 476, 272, 269, 10619, 267, 476, 275, 269, 276, 267, 476, 271, 269, 30033, 274, 454, 2639, 655, 19390, 1460, 12304, 31699, 4590, 2745, 263, 655, 19390, 1460, 12304, 2020, 258, 396, 350, 10528, 25986, 24012, 11012, 4344, 4814, 30718, 476, 4344, 5284, 370, 3264, 20413, 5284, 370, 21170, 11012, 18775, 28821, 4814, 13833, 28476, 20413, 20046, 19757, 21134, 4990, 3890, 2443, 16068, 17221, 476, 13077, 4736, 10528, 17201, 5284, 370, 19277, 31502, 11714, 25602, 6459, 32553, 3522, 8563, 4138, 4344, 4709, 21134, 10780, 18775, 9326, 9686, 7549, 3264, 269, 2843, 510, 3522, 4736, 13150, 3522, 8563, 9841, 16021, 21660, 13194, 27593, 17221, 9326, 11714, 4736, 3264, 17153, 16044, 491, 9261, 19757, 13194, 4138, 10780, 3378, 25602, 6459, 32553, 3522, 8563, 4138, 4344, 7846, 15800, 11714, 9924, 8563, 29391, 4138, 16021, 11012, 10528, 25986, 30718, 21660, 16044, 491, 7549, 13077, 4709, 267, 10780, 3264, 10948, 19277, 3522, 9326, 17095, 3522, 21833, 9686, 9924, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 14359, 13833, 26281, 11012, 4344, 4814, 30718, 4138, 1384, 655, 334, 10202, 5332, 1868, 31699, 4590, 1721, 1293, 538, 900, 334, 10202, 5332, 1868, 912, 825, 1820, 6262, 870, 994, 0, 258, 825, 454, 258, 275, 1315, 476, 275, 454, 258, 672, 2073, 672, 5918, 6088, 20311, 630, 1547, 5918, 6088, 1297, 267, 476, 15426, 672, 16317, 5814, 21795, 607, 19073, 454, 4206, 815, 19073, 18667, 32269, 3488, 16443, 545, 318, 8421, 318, 1575, 323, 27406, 17210, 706, 6088, 20311, 815, 17093, 269, 706, 6088, 14061, 8999, 4590, 2745, 263, 706, 6088, 20311, 264, 0, 258, 275, 269, 2843, 508, 10528, 3264, 13077, 30530, 4138, 11012, 24893, 25986, 20977, 9261, 4138, 454, 258, 396, 351, 3264, 7549, 13150, 267, 17095, 30324, 18775, 9924, 13953, 11714, 9924, 476, 4344, 17201, 9841, 7549, 3378, 24893, 26580, 21660, 10528, 25986, 3522, 20434, 1107, 16044, 491, 26580, 15800, 4736, 17153, 19757, 21162, 13953, 17095, 19757, 29824, 22147, 13077, 9261, 9261, 9924, 269, 2843, 499, 15671, 3378, 24893, 3522, 13150, 3378, 21660, 13194, 9924, 27593, 19628, 4344, 29824, 3378, 13150, 3378, 16938, 10528, 4814, 22147, 13077, 9261, 9261, 3522, 14872, 15800, 20434, 16938, 7549, 19757, 14872, 269, 2843, 511, 26580, 21660, 16648, 18775, 15800 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2698, 7221, 540, 513, 1870, 1590, 581, 3160, 547, 519, 2179, 540, 3854, 16539, 676, 519, 5411, 630, 328, 269, 26243, 267, 519, 6006, 6868, 540, 519, 1870, 1378, 519, 7221, 602, 1810, 1405, 723, 14222, 12029, 269, 1411, 4121, 875, 519, 8051, 3830, 13333, 543, 602, 513, 2101, 3498, 540, 519, 8051, 3830, 568, 519, 3666, 6656, 269, 9521, 28880, 12753, 602, 616, 7255, 609, 2110, 3856, 7221, 543, 20824, 267, 2883, 15407, 12753, 2268, 519, 6708, 547, 799, 519, 6109, 568, 1210, 1279, 2165, 7963, 269, 9149, 3809, 910, 1548, 616, 20824, 286, 589, 15668, 568, 513, 7963, 7640, 539, 676, 513, 2754, 602, 3340, 519, 11769, 547, 2285, 909, 606, 2804, 4324, 630, 322, 1662, 267, 7221, 267, 3092, 269, 634, 3017, 1063, 519, 7221, 543, 519, 20824, 568, 1634, 607, 9698, 610, 519, 2121, 7221, 610, 519, 2121, 4502, 610, 3854, 540, 519, 2754, 543, 2687, 547, 519, 8051, 3830, 267, 2121, 4502, 1590, 3160, 7221, 14263, 20824, 269, 5758, 540, 1713, 8051, 4507, 630, 335, 4301, 625, 264, 4967, 7515, 269, 11192, 6811, 1331, 20824, 267, 799, 616, 782, 519, 22440, 602, 519, 1870, 7640, 525, 855, 814, 711, 2943, 6976, 856, 267, 607, 1134, 607, 5411, 262, 9698, 267, 519, 1871, 540, 519, 1870, 602, 729, 11292, 676, 8227, 5092, 269, 9502, 540, 700, 6636, 769, 8051, 543, 1433, 15209, 267, 519, 2165, 15668, 4016, 547, 513, 2754, 781, 17185, 16109, 689, 513, 2250, 11834, 269, 1358, 616, 2110, 3856, 13800, 540, 513, 1870, 543, 616, 849, 1634, 607, 2110, 3856, 20824, 269, 2353, 540, 519, 6898, 616, 2953, 269, 28611, 519, 20824, 8451, 538, 519, 27402, 540, 1022, 1870, 543, 616, 12306, 676, 22151, 2804, 2640, 936, 513, 1974, 540, 942, 899, 5370, 610, 3028, 267, 2724, 3092, 269, 31056, 19098, 24727, 630, 303, 4301, 625, 264, 11872, 23959, 269, 4033, 2238, 547, 948, 1331, 13793, 2006, 267, 30573, 267, 2262, 26545, 1076, 267, 3756, 267, 12805, 267, 844, 3278, 267, 543, 4255, 269, 476, 6858, 267, 11038, 27561, 585, 623, 3290, 12697, 267, 543, 15048, 3143, 269, 2290, 519, 9562, 540, 519, 1870, 630, 6518, 649, 1289, 11262, 3854, 264, 543, 1079, 689, 1875, 268, 14935, 607, 20824, 630, 6518, 649, 1289, 10211, 539, 3854, 1040, 5851, 9732, 19098, 9218, 9732, 1548, 568, 606, 6480, 13846, 700, 6636, 286, 9502, 281, 1323, 6059, 15668, 568, 513, 7963, 610, 17185, 540, 606, 7164, 2179, 602, 666, 581, 21230, 6059, 269, 1703, 616, 849, 3688, 5701, 607, 7963, 585, 8051, 5301, 267, 971, 607, 3854, 1242, 682, 1162, 267, 799, 616, 682, 1162, 4171, 2474, 811, 5702, 18613, 513, 4483, 540, 9562, 982, 606, 5665, 25755, 269, 9502, 540, 700, 32670, 6874, 2207, 300, 22244, 5723, 6579, 296, 25765, 538, 519, 26479, 269, 9502, 540, 4880, 2990, 538, 519, 11038, 9218, 910, 676, 5131, 2228, 2296, 568, 519, 2121, 27404, 15668, 630, 301, 12195, 264, 543, 568, 4080, 593, 519, 3948, 540, 2121, 2990, 540, 4750, 9980, 1845, 269, 7351, 5223, 568, 3160, 547, 1699, 7221, 5258, 676, 1699, 20824, 269, 11192, 9149, 3809, 1299, 24054, 815, 7351, 9149, 3809, 1341, 7043, 31645, 32124, 1341, 9523, 6868, 685, 24054, 634, 1985, 8051, 12596, 616, 2877, 547, 3132, 519, 20677, 15048, 269, 590, 6865, 630, 306, 9331, 267, 595, 312, 300, 264, 568, 513, 9304, 540, 772, 345, 31990, 6017, 269, 1280, 713, 11834, 519, 8051, 3830, 568, 3254, 538, 519, 1739, 3349, 269, 9149, 3809, 666, 581, 7229, 676, 14874, 519, 2698, 1226, 885, 689, 2698, 7221, 610, 13250, 540, 2698, 1699, 20824, 543, 2698, 1279, 3856, 20824, 269, 9502, 281, 634, 1433, 1871, 540, 2121, 7221, 267, 610, 645, 309, 2793, 267, 568, 3274, 519, 3017, 1063, 7221, 543, 20824, 6592, 593, 519, 3666, 6656, 269, 610, 326, 270, 1220, 274, 270, 14337, 270, 4134, 26918, 8269, 910, 21812, 674, 3008, 289, 910, 11243, 19098, 11621, 26467, 2305, 910, 307, 8084, 476, 280, 4510, 910, 8138, 307, 8084, 476, 13136, 910, 4089, 590, 4200, 910, 13640, 4588, 476, 272, 269, 24054, 4214, 568, 910, 5126, 2687, 547, 2067, 1876, 610, 1318, 282, 4481, 2433, 5191, 689, 9186, 610, 3870, 22451, 269, 4340, 547, 8907, 6284, 6240, 540, 8051, 267, 519, 796, 792, 2740, 8907, 568, 711, 5701, 607, 8907, 2394, 519, 1644, 5370, 543, 5924, 2533, 616, 3177, 547, 5561, 269, 11038, 15048, 5811, 281, 4045, 532, 9483, 16610, 547, 19098, 18614, 4460, 11612, 326, 1231, 269, 901, 814, 1044, 513, 3391, 547, 1018, 568, 11192, 2667, 1115, 543, 922, 4214, 269, 6271, 3017, 1063, 7963, 543, 20824, 568, 519, 1259, 789, 2811, 1031, 538, 1114, 12596, 585, 12719, 519, 1072, 540, 513, 1870, 269, 1452, 5697, 7221, 543, 20824, 4125, 1447, 1950, 2152, 982, 824, 7221, 543, 20824, 547, 581, 2808, 676, 519, 8274, 538, 519, 2104, 269, 8051, 4214, 281, 634, 4214, 540, 8051, 568, 519, 1184, 540, 18928, 10916, 543, 5883, 2883, 6589, 269, 1358, 616, 9286, 883, 1699, 543, 1875, 268, 9690, 269, 634, 2179, 540, 2724, 610, 824, 3959, 1142, 8227, 786, 3565, 547, 4444, 1010, 610, 1200, 8843, 540, 6006, 269, 7351, 20824, 616, 4397, 547, 581, 6976, 1369, 835, 1032, 610, 519, 5665, 4783, 267, 627, 31295, 568, 269, 4880, 7221, 568, 519, 3017, 1063, 519, 2698, 7221, 543, 2698, 20824, 269, 14216, 29719, 9149, 3809, 630, 307, 1963, 264, 654, 1551, 1218, 543, 18169, 630, 307, 1963, 264, 20677, 12525, 525, 630, 307, 1963, 264, 12834, 540, 31056, 19098, 24727, 630, 19547, 5661, 21931, 264, 12834, 540, 31056, 19098, 24727, 910, 21480, 540, 11038, 2667, 1115, 543, 9149, 3809, 2961, 3072, 693, 12876, 10025, 267, 2725, 25979, 2201, 513, 1234, 2017, 2590, 5178, 529, 630, 19547, 5661, 1040, 769, 824, 1913, 267, 715, 14011, 616, 519, 2698, 7221, 540, 513, 2754, 14263, 30608, 7221, 543, 2698, 20824, 269, 7043, 3856, 20824, 616, 606, 1271, 851, 540, 513, 2754, 779, 1279, 3856, 14104, 269, 2755, 519, 2956, 540, 713, 1880, 7127, 593, 513, 3666, 6656, 786, 4268, 689, 6109, 547, 6109, 267, 1034, 540, 519, 942, 267, 519, 824, 20824, 3296, 540, 519, 3666, 6656, 12582, 1405, 581, 540, 1880, 4063, 269, 1677, 2087, 9746, 5665, 2238, 267, 1870, 3401, 646, 539, 1585, 14573, 267, 1519, 1151, 1597, 1097, 12753, 267, 28880, 2188, 543, 519, 8051, 3328, 540, 2698, 20824, 269, 2353, 540, 519, 6898, 616, 2953, 269, 11192, 20824, 540, 513, 2754, 616, 9286, 883, 1699, 20824, 543, 1279, 3856, 20824, 269, 0, 1056, 338, 585, 7913, 8629, 5772, 8595, 454, 663, 568, 519, 2189, 32165, 585, 3615, 593, 519, 4950, 269, 898, 666, 581, 1031, 547, 1711, 10770, 3095, 543, 547, 13712, 4930, 563, 8794, 20396, 607, 513, 10770, 3095, 454, 2414, 1711, 513, 10770, 3095, 267, 1039, 7987, 490, 10674, 2517, 11459, 269, 8742, 3820, 270, 7987, 491, 454, 29592, 513, 20396, 563, 2690, 3236, 267, 952, 519, 20396, 540, 606, 2376, 568, 476, 1015, 269, 276, 3066, 278, 4882, 518, 269, 6344, 272, 269, 16573, 2073, 596, 666, 3095, 6414, 1836, 547, 519, 2376, 676, 10024, 519, 1739, 3095, 538, 707, 11422, 281, 5291, 2517, 11459, 269, 8742, 3820, 270, 476, 1015, 269, 276, 3066, 278, 4882, 518, 269, 6344, 272, 269, 16573, 476, 25707, 763, 20396, 3095, 786, 2141, 1463, 596, 547, 519, 1034, 8242, 2376, 2985, 1100, 2339, 875, 519, 17404, 2242, 519, 3561, 781, 2990, 267, 9319, 6959, 950, 2502, 538, 1271, 1382, 563, 29241, 513, 3561, 609, 20396, 454, 2691, 19696, 8100, 267, 596, 1058, 849, 13712, 519, 20396, 952, 519, 2376, 814, 835, 269, 1403, 707, 11239, 23988, 1281, 711, 1331, 11298, 3674, 267, 596, 949, 13712, 519, 20396, 3095, 563, 23077, 3674, 1450, 4977, 14327, 267, 2087, 4081, 9115, 4296, 267, 543, 1450, 3755, 547, 2744, 1732, 1995, 2066, 1114, 5867, 269, 17497, 267, 972, 616, 811, 982, 476, 3583, 2929, 11298, 3674, 10805, 585, 4081, 9115, 269, 1403, 596, 1616, 547, 1174, 811, 827, 20396, 267, 5225, 3643, 2011, 16951, 20396, 32310, 5236, 376, 486, 8222, 269, 1515, 16951, 2593, 5236, 376, 487, 476, 25707, 421, 375, 481, 417, 354, 499, 419, 495, 489, 2073, 1912, 6185, 20180, 528, 16088, 19764, 369, 419, 503, 375, 418, 361, 377, 3213, 14194, 6665, 528, 1109, 16088, 418, 354, 488, 419, 379, 510, 30837, 496, 454, 419, 373, 479, 421, 360, 498, 18809, 24757, 20396, 16088, 476, 1015, 269, 6924, 275, 276, 21610, 6224, 308, 269, 1001, 274, 269, 25484, 6021, 454, 268, 476, 272, 269, 6931, 595, 310, 267, 29399, 962, 310, 267, 13535, 681, 300, 267, 15616, 836, 918, 295, 267, 18708, 570, 290, 269, 634, 1909, 540, 2549, 335, 305, 538, 7939, 540, 700, 272, 543, 700, 273, 16061, 2000, 716, 600, 1162, 538, 853, 523, 582, 5268, 14137, 553, 28915, 17232, 807, 269, 1763, 19287, 2723, 269, 476, 1220, 280, 3057, 282, 8182, 281, 13923, 268, 15647, 454, 268, 476, 273, 269, 18708, 570, 290, 267, 29399, 962, 310, 267, 13535, 681, 300, 267, 29399, 14662, 267, 6931, 962, 307, 269, 2549, 335, 14888, 568, 3238, 538, 4082, 540, 519, 9606, 10095, 700, 272, 543, 700, 273, 16061, 2000, 716, 600, 1162, 540, 853, 523, 582, 5268, 14137, 553, 28915, 17232, 807, 269, 4165, 574, 15412, 3397, 757, 6314, 1278, 269, 476, 1220, 280, 7325, 282, 7871, 281, 23310, 273, 268, 23310, 278, 563, 268, 476, 274, 269, 6931, 595, 310, 267, 6931, 31125, 267, 29399, 962, 310, 267, 932, 2426, 570, 290, 267, 18708, 570, 290, 269, 769, 716, 10474, 540, 544, 21683, 288, 5444, 632, 10517, 19843, 519, 21828, 7400, 4082, 540, 700, 272, 543, 700, 273, 16061, 2000, 716, 600, 1162, 538, 853, 523, 582, 5268, 14137, 553, 28915, 17232, 807, 269, 808, 4165, 574, 15412, 6314, 1278, 269, 476, 1001, 272, 9484, 282, 5780, 281, 10711, 274, 268, 476, 10711, 278, 563, 268, 476, 275, 269, 670, 7676, 681, 267, 681, 903, 7770, 330, 578, 661, 269, 28342, 14137, 553, 28915, 17232, 807, 267, 606, 620, 5632, 3394, 525, 6438, 2249, 269, 808, 2637, 19287, 2723, 269, 476, 3422, 272, 9484, 282, 2918, 281, 11277, 268, 3953, 563, 268, 476, 277, 269, 623, 718, 518, 18223, 27359, 267, 17659, 12064, 808, 293, 269, 853, 523, 582, 5268, 14137, 553, 267, 513, 1007, 9190, 12593, 585, 2473, 13183, 14137, 553, 28915, 17232, 807, 630, 295, 7676, 476, 2735, 271, 264, 4210, 902, 1696, 620, 269, 2271, 808, 5204, 560, 645, 1461, 2723, 269, 476, 1960, 274, 7325, 282, 6246, 281, 2568, 277, 268, 280, 563, 763, 7047, 814, 1185, 1896, 4930, 267, 865, 798, 596, 1616, 547, 2312, 621, 267, 610, 1039, 1927, 547, 519, 7047, 286, 0, 18662, 568, 6806, 1813, 547, 11452, 267, 865, 649, 723, 3177, 513, 3640, 540, 1565, 585, 707, 1126, 543, 786, 2322, 2417, 2200, 1934, 5781, 269, 1411, 666, 6494, 6337, 540, 1565, 270, 4186, 716, 707, 4116, 693, 519, 1739, 9607, 912, 2791, 1058, 849, 723, 4607, 707, 1126, 781, 21189, 585, 20570, 4065, 630, 292, 4944, 637, 810, 264, 1141, 972, 568, 513, 5763, 540, 2200, 2139, 547, 1489, 741, 1565, 563, 303, 4041, 17955, 14662, 4629, 17247, 667, 32052, 9215, 590, 7417, 681, 9680, 8085, 2752, 772, 11520, 2969, 2464, 563, 2026, 811, 1753, 1565, 568, 3773, 5225, 960, 998, 621, 693, 707, 1378, 10605, 269, 1284, 616, 1360, 3222, 602, 1082, 3237, 616, 2324, 689, 1753, 267, 12391, 585, 1866, 267, 723, 7820, 16254, 3092, 269, 865, 5225, 1544, 707, 1565, 547, 9290, 596, 543, 707, 1920, 6381, 563, 8923, 1118, 946, 540, 713, 9735, 1863, 4199, 1519, 10228, 552, 9248, 563, 12812, 593, 519, 3095, 267, 1287, 20801, 1524, 547, 1265, 519, 17676, 19545, 5399, 269, 8437, 543, 596, 666, 1287, 5734, 519, 552, 20486, 585, 2085, 476, 276, 547, 476, 277, 269, 769, 519, 2157, 3296, 596, 3580, 1265, 519, 2953, 1433, 6512, 585, 707, 1126, 269, 1411, 666, 960, 998, 891, 2835, 1818, 2386, 596, 2594, 1018, 596, 723, 1224, 538, 707, 2542, 2594, 563, 2005, 568, 1271, 585, 707, 1126, 547, 1224, 519, 1318, 1377, 540, 2542, 1433, 281, 952, 2835, 616, 1932, 2653, 267, 1453, 786, 711, 581, 13934, 543, 711, 1118, 607, 1454, 3356, 282, 952, 2835, 616, 1932, 2352, 267, 1453, 786, 6336, 1620, 540, 519, 1650, 543, 711, 2744, 607, 1454, 12257, 689, 2542, 269, 1358, 1131, 991, 547, 1174, 1018, 789, 616, 2542, 543, 2626, 2055, 827, 519, 1257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 19370, 14572, 994, 1892, 6460, 1063, 11269, 540, 519, 3347, 1063, 1079, 10305, 538, 966, 3317, 12222, 543, 1079, 17574, 7515, 267, 19838, 692, 2162, 17461, 6176, 692, 11990, 966, 3317, 630, 8146, 275, 6629, 4572, 274, 264, 729, 513, 3703, 22301, 1655, 1634, 585, 1010, 6516, 15122, 1259, 540, 8204, 5036, 267, 543, 741, 18787, 543, 28963, 780, 10743, 616, 4397, 547, 581, 2111, 547, 4612, 966, 3317, 12222, 5473, 1614, 10305, 282, 2705, 267, 789, 616, 711, 4397, 547, 4020, 966, 3317, 12222, 5473, 1614, 10305, 780, 2162, 5678, 692, 288, 7623, 2680, 568, 606, 2680, 602, 666, 581, 6829, 607, 513, 4999, 540, 2241, 2621, 267, 19838, 1109, 9526, 532, 513, 3556, 602, 568, 3109, 610, 513, 3751, 689, 513, 3044, 1305, 540, 4730, 6486, 267, 18530, 693, 2547, 1109, 276, 593, 513, 3044, 3670, 21758, 5884, 780, 2162, 2817, 23168, 2329, 4804, 4273, 1833, 6402, 547, 713, 9119, 6364, 692, 2691, 2324, 2509, 519, 6364, 10790, 275, 587, 495, 2641, 300, 294, 519, 1016, 3887, 6123, 630, 663, 2157, 264, 540, 4197, 4960, 630, 4462, 290, 276, 264, 4766, 28507, 19326, 602, 666, 5351, 3610, 538, 1818, 2963, 2861, 3664, 827, 2875, 1646, 543, 2104, 1565, 780, 763, 11144, 1016, 3887, 6123, 543, 10832, 666, 581, 9763, 676, 17034, 519, 2817, 23168, 2329, 4804, 4273, 1833, 269, 0, 15675, 8274, 1299, 4147, 692, 258, 8274, 7433, 540, 4147, 476, 1321, 4149, 7220, 476, 1001, 278, 13174, 16156, 22829, 4953, 476, 274, 264, 910, 10298, 692, 14197, 27491, 912, 9217, 264, 2353, 2055, 616, 25471, 563, 23870, 264, 901, 2243, 1957, 3568, 476, 3066, 2055, 563, 31702, 264, 5999, 476, 272, 268, 476, 275, 538, 8791, 589, 616, 1360, 2110, 268, 24987, 1826, 2055, 8876, 476, 272, 1665, 1142, 563, 263, 643, 264, 5999, 476, 276, 268, 1321, 538, 8791, 645, 616, 2110, 268, 24987, 1826, 2055, 8876, 476, 273, 7436, 1142, 563, 17635, 264, 5999, 476, 1724, 268, 2537, 538, 8791, 595, 616, 1279, 268, 24987, 594, 1826, 2055, 8876, 476, 275, 7436, 1142, 563, 263, 12858, 264, 5999, 476, 2190, 268, 3066, 538, 8791, 667, 616, 1279, 268, 24987, 4083, 1826, 2055, 8876, 476, 277, 7436, 1142, 780, 1892, 7726, 476, 272, 454, 2252, 513, 1899, 2306, 7285, 476, 3445, 4113, 543, 476, 2568, 4113, 6606, 609, 519, 2318, 8846, 540, 1535, 543, 586, 17887, 267, 1265, 519, 5086, 799, 621, 2306, 609, 519, 2318, 4287, 540, 1990, 14289, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 274, 454, 29991, 519, 1871, 540, 519, 3586, 1412, 330, 262, 865, 602, 1599, 1109, 28812, 6024, 693, 1535, 815, 476, 271, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 275, 454, 2252, 589, 568, 513, 476, 274, 6398, 476, 274, 538, 3200, 1043, 5119, 267, 1287, 1018, 786, 581, 519, 1871, 540, 737, 952, 1033, 10490, 1700, 272, 264, 815, 630, 30956, 589, 264, 330, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 276, 454, 3682, 557, 602, 952, 661, 543, 674, 616, 4830, 2621, 267, 1287, 519, 2621, 661, 543, 674, 262, 616, 849, 4830, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 277, 454, 288, 1507, 6109, 3302, 999, 8405, 331, 2167, 543, 25231, 7410, 269, 634, 2698, 1297, 540, 8405, 331, 2167, 543, 25231, 7410, 602, 621, 666, 6023, 829, 1554, 568, 693, 1034, 476, 2190, 269, 898, 3217, 835, 5662, 547, 1118, 513, 25231, 2280, 543, 3368, 606, 5662, 547, 1118, 513, 8405, 331, 864, 269, 634, 5021, 1297, 540, 3108, 2139, 829, 1554, 568, 476, 1626, 269, 1403, 519, 7443, 593, 513, 8405, 331, 864, 568, 12652, 476, 1911, 543, 602, 593, 513, 25231, 2280, 568, 12652, 476, 4968, 269, 4813, 3634, 593, 700, 10422, 10422, 269, 585, 4466, 875, 1082, 540, 1142, 1058, 581, 3812, 3232, 547, 11694, 519, 7443, 888, 2005, 568, 1373, 2016, 602, 693, 2547, 835, 540, 1142, 1590, 581, 3812, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 278, 454, 8340, 4399, 842, 1422, 2765, 3189, 9507, 18097, 26507, 2410, 346, 343, 8703, 273, 15396, 275, 343, 266, 279, 4151, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 279, 454, 8340, 519, 6152, 3830, 540, 519, 1899, 8429, 998, 519, 1448, 589, 263, 272, 267, 476, 273, 267, 1107, 272, 264, 543, 6252, 547, 519, 1899, 476, 276, 343, 1107, 476, 1839, 815, 476, 1691, 1107, 476, 278, 344, 815, 476, 3374, 345, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 280, 454, 17004, 602, 519, 1599, 1269, 325, 13375, 3287, 9368, 6661, 275, 12757, 8703, 274, 18511, 1240, 12757, 8703, 273, 15396, 2767, 343, 268, 278, 259, 568, 2141, 2810, 593, 4399, 9507, 346, 11433, 507, 23201, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1015, 454, 763, 4320, 540, 513, 12106, 568, 2810, 693, 519, 2557, 540, 476, 274, 12945, 1298, 9014, 829, 2034, 269, 4855, 519, 2557, 540, 2333, 540, 922, 2627, 1858, 267, 950, 519, 8953, 568, 476, 273, 4699, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1556, 454, 17004, 602, 782, 519, 15497, 2609, 540, 513, 7729, 342, 21136, 5119, 616, 4642, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1321, 454, 2252, 2073, 1287, 1265, 4399, 2765, 346, 11276, 2410, 11459, 23201, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1724, 454, 4131, 4399, 23637, 7758, 3189, 1729, 476, 7346, 9507, 21151, 3686, 7807, 23637, 7758, 346, 317, 7346, 9507, 346, 328, 3686, 10954, 23637, 7758, 346, 317, 7346, 9507, 346, 329, 3686, 10954, 23637, 7758, 346, 317, 7346, 9507, 346, 330, 3686, 12101, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 23637, 7758, 3189, 1729, 476, 7346, 9507, 15830, 3686, 7807, 23637, 7758, 346, 317, 7346, 9507, 346, 328, 22288, 543, 4399, 23637, 7758, 3189, 1729, 476, 7346, 9507, 26231, 3686, 284, 3189, 9507, 26231, 3686, 3709, 272, 4153, 23637, 7758, 346, 317, 7346, 9507, 346, 328, 3686, 266, 3189, 9507, 26231, 3686, 3709, 273, 4153, 23637, 7758, 346, 317, 7346, 9507, 346, 329, 3686, 266, 3189, 9507, 26231, 3686, 3709, 274, 4153, 23637, 7758, 346, 317, 7346, 9507, 346, 330, 3686, 267, 259, 1287, 692, 5416, 264, 2913, 524, 272, 815, 476, 272, 543, 524, 273, 815, 476, 273, 267, 1265, 524, 274, 799, 2306, 4399, 23637, 7758, 3189, 1729, 476, 7346, 9507, 21151, 3686, 12101, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 23637, 7758, 3189, 1729, 476, 7346, 9507, 15830, 22288, 543, 4399, 23637, 7758, 3189, 1729, 476, 7346, 9507, 26231, 22288, 2941, 17427, 541, 780, 6357, 264, 1403, 524, 273, 815, 1107, 272, 543, 524, 274, 815, 476, 272, 267, 1397, 602, 1100, 1871, 540, 524, 272, 666, 1118, 4399, 23637, 7758, 3189, 1729, 476, 7346, 9507, 21151, 3686, 12101, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 23637, 7758, 3189, 1729, 476, 7346, 9507, 15830, 22288, 543, 4399, 23637, 7758, 3189, 1729, 476, 7346, 9507, 26231, 22288, 2941, 17427, 541, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1691, 454, 2252, 616, 20102, 13902, 10321, 540, 3160, 3172, 6421, 267, 1397, 602, 519, 6152, 568, 8449, 20916, 547, 1547, 1109, 4746, 267, 1265, 519, 5086, 799, 2306, 609, 1547, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1428, 454, 763, 4351, 4756, 2473, 666, 1491, 1152, 519, 2418, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 269, 12315, 602, 623, 11583, 815, 476, 271, 264, 815, 623, 11583, 815, 476, 272, 264, 815, 533, 543, 623, 11583, 815, 476, 273, 264, 815, 623, 11583, 815, 476, 274, 264, 971, 602, 4399, 9507, 3189, 306, 7950, 25452, 335, 348, 18155, 4118, 527, 346, 328, 12453, 343, 13925, 328, 8703, 273, 13157, 273, 315, 9507, 3189, 306, 7950, 25452, 335, 348, 18155, 4118, 527, 346, 328, 12453, 343, 348, 18155, 4118, 527, 346, 328, 3686, 8961, 1265, 519, 1871, 540, 533, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1626, 454, 27269, 621, 568, 3144, 602, 513, 5168, 995, 1268, 12981, 267, 811, 2463, 538, 519, 2486, 269, 589, 812, 568, 1634, 547, 3717, 519, 5168, 476, 275, 856, 540, 476, 276, 2053, 269, 1261, 25001, 513, 5884, 543, 5359, 602, 621, 568, 513, 3670, 269, 4855, 519, 5506, 602, 621, 568, 2965, 513, 3670, 563, 2710, 596, 849, 3858, 602, 519, 1871, 540, 5168, 6888, 5012, 547, 811, 2463, 538, 519, 2486, 286, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1704, 454, 8794, 3601, 540, 21876, 267, 6961, 602, 4399, 3847, 24689, 8218, 15204, 2410, 764, 322, 26507, 261, 1535, 20742, 261, 1535, 266, 273, 344, 11138, 1535, 266, 273, 344, 261, 1535, 261, 1535, 20742, 11138, 1535, 20742, 261, 1535, 266, 273, 344, 261, 1535, 17910, 15204, 4153, 2431, 347, 284, 280, 26635, 8703, 273, 4153, 3847, 3287, 20742, 9368, 1040, 6911, 3036, 692, 4131, 2073, 1265, 513, 5119, 667, 971, 602, 7131, 6567, 9474, 815, 744, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1240, 454, 17843, 5573, 519, 1599, 609, 2463, 547, 1535, 780, 3036, 692, 2252, 20270, 343, 8703, 332, 2410, 344, 8703, 333, 13157, 3189, 3847, 3287, 20742, 9368, 264, 8703, 332, 266, 333, 20954, 6961, 602, 4399, 2765, 13997, 323, 8703, 273, 348, 344, 2410, 323, 12757, 8703, 273, 3686, 284, 271, 10608, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 736, 454, 24169, 519, 1739, 700, 10422, 10422, 3113, 1227, 912, 7665, 574, 1047, 2098, 815, 476, 736, 343, 1341, 476, 1015, 344, 13595, 547, 519, 1739, 10148, 1535, 1341, 476, 273, 344, 18016, 476, 2764, 267, 476, 274, 343, 1341, 586, 18016, 476, 2190, 267, 1535, 21759, 476, 273, 267, 1535, 267, 586, 21759, 476, 271, 454, 26177, 25663, 28513, 692, 1892, 7726, 476, 2641, 454, 17004, 602, 519, 1920, 540, 14258, 585, 799, 4399, 2765, 346, 11276, 2410, 11459, 18098, 2765, 13997, 343, 8703, 273, 15396, 346, 344, 8703, 273, 12453, 273, 15383, 20954, 568, 2016, 676, 1535, 273, 344, 273, 815, 524, 343, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 2190, 454, 8794, 5610, 267, 1265, 519, 1858, 540, 3148, 22112, 676, 519, 6906, 4171, 14622, 616, 630, 1700, 273, 267, 476, 272, 1070, 630, 271, 267, 476, 275, 264, 543, 1109, 263, 273, 267, 476, 274, 6393, 3036, 692, 8340, 519, 1858, 22112, 676, 519, 5858, 1535, 273, 1341, 586, 273, 815, 476, 1626, 543, 519, 1899, 1109, 7445, 6912, 346, 274, 4153, 9507, 26635, 13157, 343, 259, 1109, 514, 519, 1101, 9076, 656, 267, 1210, 5610, 269, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 1839, 454, 8340, 519, 3830, 540, 519, 7077, 998, 519, 1899, 540, 10167, 540, 4399, 1495, 619, 564, 346, 337, 7346, 1729, 7684, 6440, 315, 3847, 263, 273, 315, 23637, 7758, 3189, 4118, 527, 346, 317, 12453, 328, 18511, 274, 315, 23637, 7758, 3189, 4118, 527, 346, 317, 12453, 329, 15396, 275, 315, 23637, 7758, 3189, 4118, 527, 346, 317, 12453, 330, 4153, 2431, 6661, 272, 259, 543, 4399, 1495, 619, 564, 346, 337, 7346, 1729, 7684, 6440, 315, 3847, 7268, 23637, 7758, 346, 317, 2410, 328, 32757, 23637, 7758, 346, 317, 2410, 329, 4153, 2431, 11924, 275, 284, 271, 259, 543, 13902, 547, 519, 7077, 4399, 1495, 619, 564, 346, 337, 7346, 1729, 7684, 6440, 315, 3847, 263, 273, 315, 23637, 7758, 346, 317, 2410, 328, 32757, 23637, 7758, 346, 317, 2410, 329, 23180, 23637, 7758, 346, 317, 2410, 330, 4153, 2431, 11924, 279, 284, 271, 10608, 9747, 1265, 2436, 519, 7077, 3976, 5833, 3568, 519, 1899, 1535, 6567, 476, 272, 815, 476, 273, 344, 6567, 476, 275, 815, 476, 274, 345, 6567, 476, 1321, 780, 3036, 692, 8340, 519, 6152, 543, 31951, 4834, 540, 513, 1899, 8429, 998, 630, 272, 267, 476, 273, 267, 1107, 275, 264, 543, 13902, 547, 519, 1079, 3515, 4399, 2765, 12757, 268, 279, 2410, 274, 18098, 2765, 3189, 9507, 26635, 15396, 866, 2410, 268, 1626, 18098, 2765, 3189, 9507, 346, 345, 18511, 1015, 2410, 278, 4151, 543, 4399, 2765, 12757, 268, 1428, 2410, 274, 18098, 2765, 3189, 9507, 26635, 18511, 3066, 2410, 279, 18098, 2765, 3189, 9507, 346, 345, 18511, 276, 2410, 268, 276, 23201, 17886, 11246, 25663, 28513, 692, 1892, 7726, 476, 2918, 454, 13706, 535, 2433, 681, 266, 9890, 1496, 6629, 276, 267, 3980, 508, 1070, 2016, 676, 535, 3287, 264, 815, 476, 280, 343, 273, 1341, 476, 277, 343, 6567, 476, 276, 269, 8058, 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 ]
[ 0, 2791, 723, 6368, 6956, 875, 606, 5214, 4677, 1223, 4688, 596, 2724, 593, 14770, 625, 269, 3767, 779, 519, 942, 256, 634, 4388, 2630, 666, 948, 596, 2253, 707, 5214, 4677, 563, 2252, 596, 723, 513, 1164, 10862, 585, 6940, 538, 707, 5214, 12202, 267, 2119, 6028, 513, 7944, 540, 519, 3959, 3768, 324, 975, 539, 607, 513, 9910, 7320, 9675, 269, 2290, 2427, 1198, 540, 713, 568, 602, 1141, 2831, 8853, 267, 865, 798, 5017, 543, 7786, 602, 948, 20741, 543, 3542, 3729, 2371, 267, 799, 786, 2333, 519, 2298, 540, 707, 4677, 563, 2691, 3395, 11255, 2371, 267, 519, 27687, 520, 1058, 581, 1305, 1063, 476, 4792, 268, 4037, 5232, 2429, 519, 1554, 269, 634, 2837, 2115, 547, 2611, 11931, 543, 3636, 865, 519, 2371, 666, 1332, 269, 1403, 596, 1589, 621, 1131, 711, 581, 6899, 547, 1832, 707, 15335, 602, 3636, 538, 519, 5162, 267, 2015, 11449, 513, 3002, 17689, 547, 946, 593, 519, 2371, 563, 303, 15959, 658, 10651, 1058, 581, 5423, 3362, 543, 3533, 538, 519, 2666, 269, 2060, 513, 4677, 838, 1228, 267, 20105, 896, 519, 13897, 1287, 16212, 621, 936, 269, 8921, 267, 3262, 856, 3574, 13365, 1896, 6279, 2620, 269, 2991, 513, 1906, 4374, 267, 2007, 267, 1287, 2030, 707, 17506, 10118, 563, 2791, 3580, 4688, 942, 543, 1648, 952, 596, 1832, 2645, 7404, 1247, 2324, 538, 707, 4677, 269, 23203, 27890, 609, 2789, 22836, 610, 946, 513, 1907, 7901, 610, 1804, 19943, 269, 5269, 2386, 707, 512, 992, 601, 267, 18309, 1352, 1513, 267, 17309, 543, 824, 1271, 2645, 616, 2141, 13561, 269, 901, 786, 1450, 596, 547, 1118, 2653, 960, 540, 707, 12202, 909, 268, 18141, 2336, 8196, 827, 1079, 547, 1614, 6279, 540, 5214, 1570, 607, 22890, 538, 782, 540, 707, 8768, 15135, 269, 3502, 1152, 786, 596, 581, 4946, 5567, 267, 855, 18047, 786, 581, 1447, 2693, 547, 1332, 543, 7509, 786, 581, 17477, 811, 3362, 269, 1548, 779, 811, 267, 707, 4677, 786, 1413, 3318, 782, 1032, 563, 2691, 596, 616, 4058, 593, 3395, 513, 4677, 267, 596, 1058, 1589, 827, 519, 2230, 596, 786, 991, 547, 1683, 513, 2635, 3395, 1858, 585, 707, 2371, 269, 898, 779, 1455, 547, 711, 1589, 827, 875, 1454, 2230, 513, 2030, 786, 991, 2899, 621, 779, 2407, 6738, 267, 543, 596, 1810, 1406, 1616, 547, 15624, 707, 4677, 269, 23299, 547, 1683, 7850, 4055, 786, 6615, 2208, 1317, 621, 4229, 2371, 547, 14526, 585, 3407, 5567, 543, 5135, 269, 1403, 2556, 267, 946, 513, 14610, 547, 2268, 519, 3845, 1063, 1142, 2030, 563, 20751, 707, 24600, 24050, 267, 2327, 602, 972, 568, 606, 3160, 8237, 540, 12015, 543, 3039, 2030, 2326, 269, 1879, 596, 7485, 18047, 689, 707, 4677, 267, 12235, 873, 538, 519, 11003, 269, 634, 1482, 4422, 585, 10448, 959, 9404, 902, 543, 6371, 804, 2089, 902, 269, 1452, 616, 2808, 3039, 2326, 269, 667, 3072, 1570, 2882, 12450, 267, 27054, 4765, 1957, 267, 543, 21312, 269, 5213, 1406, 12235, 23315, 267, 5779, 610, 23226, 883, 707, 11003, 563, 298, 3739, 18047, 519, 2067, 1259, 286, 2422, 513, 2603, 540, 6106, 540, 11356, 538, 1931, 547, 3035, 18290, 1852, 269, 1284, 2644, 991, 3141, 585, 2208, 267, 1175, 899, 1022, 824, 2030, 269, 1715, 4944, 3639, 5116, 29691, 18047, 786, 5182, 557, 873, 689, 1769, 543, 789, 786, 5555, 5884, 269, 1715, 4944, 3639, 2736, 1524, 936, 942, 267, 543, 789, 1118, 513, 1390, 1840, 547, 11003, 269, 5410, 3308, 9029, 676, 11093, 930, 22890, 936, 519, 1283, 563, 2691, 9544, 5452, 883, 513, 8708, 267, 519, 3178, 540, 707, 9544, 1058, 581, 1614, 2053, 8273, 982, 519, 6079, 269, 1703, 616, 17756, 267, 2705, 269, 2368, 2010, 540, 5452, 2154, 811, 1463, 7943, 982, 1866, 267, 543, 607, 971, 789, 1058, 711, 581, 4628, 4988, 269, 5565, 1455, 1806, 540, 713, 1826, 540, 6079, 616, 989, 518, 23628, 543, 4620, 684, 5362, 269, 1403, 596, 2461, 711, 2386, 952, 707, 5452, 991, 7943, 267, 596, 666, 1265, 856, 2228, 610, 998, 519, 5452, 685, 10189, 563, 288, 3730, 4480, 585, 5214, 12202, 267, 568, 547, 9900, 11145, 707, 19155, 676, 1210, 707, 11263, 610, 513, 4062, 540, 21312, 835, 610, 1079, 2053, 3232, 269, 4014, 713, 1505, 949, 3100, 4831, 335, 8793, 267, 621, 2965, 2337, 519, 5452, 547, 1332, 18334, 543, 6793, 563, 2252, 596, 991, 547, 6961, 547, 5561, 602, 707, 3132, 568, 11307, 2954, 5214, 267, 596, 666, 1831, 14468, 607, 606, 5214, 1332, 518, 269, 901, 786, 2087, 707, 6455, 543, 1397, 707, 21705, 5561, 602, 789, 616, 3478, 519, 1655, 2009, 1426, 602, 568, 6738, 563, 13706, 519, 2916, 543, 4005, 950, 14450, 707, 2371, 269, 1215, 1454, 596, 1216, 5673, 593, 519, 942, 540, 1554, 267, 519, 2298, 540, 707, 1216, 543, 519, 1826, 540, 3037, 596, 723, 269, 1306, 606, 1383, 267, 798, 711, 1216, 707, 2030, 779, 3762, 952, 596, 2661, 538, 513, 18519, 2916, 2094, 713, 786, 1034, 2693, 1267, 538, 6978, 17343, 269, 1411, 723, 547, 1118, 2386, 547, 1216, 519, 3597, 1062, 563, 2791, 786, 1631, 581, 1732, 5423, 607, 596, 1376, 13197, 5214, 12202, 269, 1403, 596, 2219, 602, 596, 941, 4712, 1354, 267, 1134, 596, 1058, 1631, 581, 606, 4274, 256, 634, 5796, 596, 723, 4607, 1058, 1205, 596, 1134, 593, 707, 1259, 547, 3395, 513, 17681, 543, 11327, 5214, 4677, 269, 0, 763, 3450, 540, 519, 13360, 902, 568, 602, 519, 30723, 267, 607, 513, 10806, 540, 3096, 9833, 267, 13822, 513, 1480, 1106, 610, 513, 6264, 812, 630, 10946, 574, 639, 4630, 334, 1040, 901, 568, 3020, 540, 519, 21425, 545, 30723, 689, 519, 3003, 7122, 31539, 782, 20948, 1274, 2195, 543, 15408, 1765, 339, 2586, 1927, 269, 1280, 891, 616, 782, 2877, 547, 17492, 513, 3501, 6198, 2898, 269, 1809, 621, 949, 849, 581, 1767, 602, 1169, 2347, 2486, 568, 267, 607, 547, 922, 3096, 267, 513, 1480, 1106, 282, 543, 513, 2197, 267, 610, 513, 5939, 267, 568, 3976, 513, 968, 2006, 892, 538, 713, 2647, 2631, 540, 519, 2262, 269, 6884, 267, 849, 267, 519, 13360, 902, 5815, 602, 519, 1480, 5198, 593, 938, 1378, 3618, 267, 610, 782, 519, 14326, 945, 1631, 7639, 538, 519, 30723, 689, 713, 1880, 4541, 267, 1590, 581, 9833, 607, 513, 7665, 574, 639, 30941, 267, 609, 513, 1686, 630, 528, 12092, 264, 540, 922, 1378, 282, 513, 7104, 812, 799, 729, 4535, 543, 5293, 998, 5933, 7222, 547, 26638, 267, 6689, 267, 6107, 267, 543, 812, 3125, 269, 0, 19425, 2801, 1670, 12197, 4518, 1923, 476, 1220, 278, 12197, 17897, 910, 1133, 16225, 532, 519, 25655, 31701, 724, 1787, 454, 763, 476, 1220, 278, 14155, 725, 3177, 8101, 1007, 1344, 827, 519, 25655, 6520, 17163, 1686, 540, 519, 670, 337, 6403, 338, 1962, 14243, 3135, 269, 19196, 822, 566, 540, 519, 10693, 724, 1787, 7000, 513, 1134, 25535, 5703, 2497, 7893, 5111, 476, 2764, 1535, 476, 1015, 544, 269, 14332, 21758, 6821, 267, 1079, 7450, 1811, 267, 1649, 2583, 267, 5394, 6989, 12074, 267, 8900, 2022, 9475, 267, 22902, 29365, 267, 543, 513, 1804, 3844, 5873, 628, 941, 782, 4857, 543, 616, 538, 606, 5140, 1533, 540, 11091, 563, 763, 2497, 729, 1101, 3710, 1063, 5084, 476, 279, 3583, 543, 476, 280, 1789, 267, 543, 1287, 13148, 32206, 28069, 1310, 5084, 476, 280, 1789, 269, 634, 1964, 31382, 729, 711, 3573, 543, 519, 10693, 724, 1787, 4667, 547, 723, 17477, 1454, 519, 1482, 1106, 2429, 519, 1974, 540, 922, 13567, 269, 2991, 519, 10205, 618, 540, 519, 2777, 267, 1100, 7766, 3889, 941, 3710, 2047, 593, 519, 3135, 267, 855, 621, 568, 2312, 689, 519, 544, 5200, 12074, 546, 22981, 883, 519, 2777, 602, 6469, 13567, 540, 606, 7164, 4336, 4797, 693, 519, 670, 337, 6403, 338, 1962, 14243, 3484, 538, 519, 25610, 540, 519, 4587, 10693, 724, 1787, 563, 2750, 322, 822, 730, 31324, 1166, 1678, 539, 676, 519, 10693, 724, 1787, 543, 519, 5939, 7000, 513, 14404, 15572, 545, 4276, 1063, 519, 1079, 3889, 269, 769, 2040, 267, 519, 10693, 724, 1787, 729, 3710, 1101, 543, 519, 5939, 3710, 2663, 1247, 519, 10693, 724, 1787, 729, 1869, 538, 946, 269, 769, 519, 1178, 3272, 731, 267, 649, 3494, 602, 649, 723, 4857, 519, 6708, 540, 519, 19746, 1858, 1031, 4478, 519, 5939, 267, 543, 723, 7962, 1221, 519, 1178, 3272, 731, 540, 1480, 11375, 636, 725, 563, 763, 17018, 325, 749, 16329, 1670, 5741, 12243, 476, 1220, 278, 281, 1656, 337, 15530, 3331, 497, 331, 2378, 26856, 267, 2871, 32244, 333, 383, 377, 2098, 7238, 9298, 267, 2051, 514, 1230, 333, 832, 267, 661, 326, 559, 3057, 7322, 645, 21516, 267, 20908, 572, 1635, 1442, 267, 12540, 337, 18863, 8065, 24792, 338, 323, 6759, 1777, 597, 267, 13744, 8210, 4133, 517, 267, 5096, 728, 2098, 9461, 267, 681, 14243, 3534, 3331, 378, 337, 5451, 1231, 323, 6759, 1777, 597, 267, 5981, 529, 667, 20462, 514, 267, 3807, 514, 25930, 7773, 267, 20388, 773, 667, 650, 517, 267, 31929, 6762, 2006, 267, 10910, 25352, 24872, 32231, 267, 543, 23729, 534, 13660, 289, 12251, 269, 0, 5978, 2732, 4249, 606, 1271, 851, 538, 938, 2634, 2534, 269, 634, 1426, 602, 649, 3548, 2047, 5222, 938, 2634, 543, 1072, 269, 9894, 596, 917, 602, 5182, 1324, 610, 2732, 532, 666, 581, 1360, 14124, 585, 519, 2634, 286, 15566, 2542, 547, 1265, 519, 1655, 8324, 585, 3965, 269, 1411, 666, 849, 1265, 519, 1592, 540, 1283, 476, 1015, 3536, 602, 2087, 3965, 543, 2634, 3252, 563, 309, 527, 7530, 1280, 15350, 454, 2467, 616, 1082, 1426, 3688, 602, 666, 948, 707, 2634, 547, 3251, 3514, 543, 2635, 547, 1685, 3232, 3252, 269, 1452, 8324, 585, 3965, 3533, 2569, 519, 3441, 547, 519, 2634, 952, 3144, 5781, 269, 23225, 540, 873, 616, 5018, 2630, 563, 12749, 476, 1015, 16639, 2334, 13724, 15350, 454, 2704, 24325, 616, 1634, 585, 519, 2640, 540, 2810, 2634, 1379, 269, 1358, 616, 4481, 1434, 585, 1004, 945, 616, 2324, 547, 2087, 741, 3965, 1983, 563, 1607, 2428, 20998, 519, 3337, 540, 513, 2634, 269, 4706, 2640, 585, 513, 2635, 2634, 616, 11999, 269, 14171, 9267, 22756, 666, 581, 1390, 585, 20993, 3965, 543, 547, 1832, 519, 3965, 1644, 4713, 693, 15922, 563, 8967, 514, 778, 568, 1634, 607, 513, 3532, 3039, 10448, 602, 568, 4904, 609, 4401, 269, 634, 11606, 540, 4401, 2337, 547, 2087, 1973, 1377, 602, 18867, 2164, 538, 1732, 5135, 547, 519, 2634, 2281, 563, 27288, 13687, 3568, 15060, 476, 274, 538, 11606, 269, 589, 2635, 2732, 585, 2634, 1058, 6451, 2892, 332, 976, 607, 621, 3091, 3099, 540, 5567, 543, 2640, 563, 307, 584, 1337, 568, 513, 24996, 602, 568, 1634, 585, 922, 2640, 538, 938, 3232, 1272, 269, 898, 666, 581, 1031, 538, 3099, 540, 2081, 269, 5695, 1337, 5144, 568, 1390, 585, 3246, 1379, 547, 519, 1560, 563, 289, 821, 26185, 568, 513, 2707, 540, 1648, 543, 3568, 7067, 1379, 547, 7903, 707, 1560, 547, 519, 1985, 1377, 269, 6875, 5642, 26185, 547, 26016, 1125, 707, 2634, 543, 1560, 2281, 563, 15463, 2125, 616, 849, 6225, 585, 519, 1072, 540, 606, 1367, 269, 1358, 2270, 6517, 4577, 3679, 799, 568, 1072, 585, 2634, 2281, 269, 898, 22651, 519, 2634, 689, 1863, 3114, 18119, 269, 898, 849, 8774, 519, 1981, 540, 31895, 523, 3130, 543, 12216, 779, 2068, 563, 279, 292, 1375, 16543, 1299, 586, 565, 802, 454, 292, 1375, 338, 616, 5156, 547, 581, 1164, 538, 8501, 269, 24641, 267, 8501, 568, 5156, 547, 581, 1390, 585, 519, 2634, 2281, 269, 1924, 621, 18867, 1797, 602, 10438, 5798, 616, 4105, 585, 519, 2634, 1072, 543, 3965, 563, 12901, 9171, 1218, 616, 513, 2707, 547, 4492, 519, 2634, 269, 853, 3863, 11241, 3568, 14434, 543, 602, 1946, 789, 1058, 581, 513, 851, 540, 707, 2732, 563, 1015, 289, 3757, 24799, 610, 744, 520, 22596, 454, 18662, 2469, 1453, 1058, 723, 513, 2635, 2732, 1544, 16856, 865, 789, 1332, 609, 513, 2635, 2634, 269, 4256, 14254, 1058, 2270, 1970, 3766, 569, 23303, 268, 8161, 3536, 602, 949, 6451, 4839, 24799, 543, 27046, 22596, 563, 291, 2884, 532, 12456, 1137, 2659, 11020, 2657, 454, 6624, 1004, 616, 3168, 585, 2081, 547, 2569, 741, 3063, 2597, 855, 1018, 789, 4769, 1406, 917, 568, 602, 972, 2732, 532, 666, 581, 5732, 14124, 547, 741, 1072, 543, 2247, 269, 901, 568, 1813, 547, 519, 1249, 602, 2732 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1360, 9952, 5816, 3455, 269, 594, 723, 8678, 707, 678, 1087, 3049, 543, 1413, 4464, 547, 5275, 811, 540, 707, 5140, 2022, 269, 4746, 267, 594, 723, 3838, 707, 3896, 538, 1250, 1514, 5121, 2439, 4366, 269, 2659, 1747, 568, 1871, 1076, 585, 803, 269, 8729, 256, 2496, 5392, 269, 594, 723, 2938, 513, 2603, 540, 3730, 1919, 593, 707, 3135, 827, 5904, 269, 1717, 267, 594, 723, 519, 12705, 602, 22272, 25568, 616, 1869, 711, 5176, 3532, 18481, 547, 581, 513, 1434, 5542, 952, 596, 2356, 798, 4247, 602, 2154, 513, 2603, 540, 1379, 267, 1175, 899, 3381, 11049, 269, 1809, 585, 1158, 2647, 1357, 17774, 532, 267, 2262, 4393, 267, 543, 3833, 513, 1906, 824, 1455, 2780, 3252, 789, 616, 9985, 267, 3177, 596, 949, 711, 2247, 1507, 5496, 2450, 269, 2561, 3285, 622, 4687, 707, 8369, 780, 2004, 269, 594, 4076, 1044, 17774, 532, 2228, 3152, 982, 476, 274, 3108, 19951, 267, 2943, 594, 2760, 1336, 1022, 4241, 2376, 899, 16523, 269, 898, 568, 7168, 3902, 2614, 585, 803, 269, 769, 1250, 2070, 267, 952, 782, 1357, 5411, 543, 5816, 7970, 1500, 1434, 1543, 1570, 607, 596, 1705, 267, 519, 4950, 666, 581, 513, 2603, 811, 5363, 982, 2479, 1354, 780, 7906, 269, 6923, 899, 707, 1357, 3135, 2705, 596, 991, 547, 1491, 513, 1413, 693, 519, 10259, 593, 1896, 540, 707, 9708, 269, 589, 1297, 540, 873, 616, 678, 1057, 609, 10259, 2042, 543, 594, 1265, 621, 1360, 21898, 16341, 547, 2995, 519, 5168, 593, 519, 824, 1688, 594, 786, 15983, 2097, 1586, 1586, 780, 7367, 269, 901, 568, 2731, 4277, 267, 1411, 2461, 513, 1360, 9952, 5816, 3455, 269, 594, 4076, 8678, 707, 3049, 543, 1413, 4464, 547, 5275, 811, 540, 707, 15999, 2022, 269, 4746, 267, 594, 4076, 3838, 707, 3135, 538, 1250, 1514, 5121, 2439, 7871, 269, 2290, 811, 3390, 568, 602, 3381, 3756, 666, 581, 3978, 538, 2470, 609, 519, 2101, 1445, 593, 1565, 2864, 982, 9913, 269, 4014, 267, 972, 779, 606, 9913, 4183, 547, 1832, 707, 3214, 7722, 267, 1169, 3014, 568, 3622, 2966, 547, 960, 593, 513, 1808, 5578, 1305, 610, 3292, 267, 971, 607, 2979, 610, 1382, 269, 8729, 585, 707, 2022, 780, 4649, 269, 28982, 267, 1775, 1589, 602, 1775, 4718, 596, 10272, 1250, 5816, 3976, 1775, 3357, 547, 7790, 8873, 519, 3870, 27085, 296, 6557, 3843, 547, 1265, 1919, 547, 3986, 1250, 3135, 256, 296, 15475, 922, 21453, 547, 946, 930, 540, 707, 2093, 256, 2439, 6321, 269, 20056, 550, 5816, 1934, 256, 4746, 707, 1357, 3135, 13907, 909, 3728, 256, 1548, 1357, 3984, 616, 596, 1210, 286, 2052, 594, 1205, 707, 24988, 3095, 547, 707, 3984, 286, 594, 6999, 1250, 1357, 3135, 16041, 909, 607, 3728, 607, 16523, 561, 565, 692, 6872, 269, 8729, 585, 1818, 803, 547, 2744, 1007, 2035, 827, 2780, 1949, 269, 594, 849, 723, 3661, 602, 1978, 540, 519, 1655, 2081, 547, 1832, 707, 5985, 2780, 538, 5140, 2783, 568, 513, 2182, 5068, 1570, 2013, 267, 607, 1134, 607, 7387, 267, 799, 13352, 936, 519, 1283, 540, 707, 2780, 269, 1452, 2010, 540, 8825, 10591, 616, 2203, 5730, 2094, 789, 616, 14475, 547, 3514, 9985, 538, 519, 2067, 524, 2084, 269, 1411, 666, 4444, 873, 2047, 689, 519, 22673, 267, 610, 689, 3791, 5428, 4025, 952, 789, 616, 11593, 2139, 585, 707, 21641, 267, 2705, 711, 1169, 15291, 1223, 723, 513, 3382, 593, 519, 2344, 269, 8616, 1586, 267, 7064, 585, 707, 4388, 780, 6812, 269, 594, 286, 332, 1100, 3476, 1978, 519, 1747, 596, 2461, 3478, 707, 9623, 267, 2705, 1390, 1888, 269, 594, 2115, 547, 6108, 930, 942, 4466, 856, 811, 610, 23115, 856, 811, 269, 11289, 596, 585, 15999, 9623, 594, 1031, 547, 581, 538, 3406, 540, 713, 9623, 585, 1250, 5692, 780, 6795, 269, 8729, 513, 19619, 585, 4687, 713, 609, 782, 11570, 596, 2731, 1174, 1018, 596, 2461, 6340, 827, 256, 3883, 5658, 539, 269, 9877, 569, 849, 5077, 609, 1250, 3896, 815, 1040, 1284, 949, 723, 513, 5409, 15062, 1689, 6876, 1063, 721, 2439, 2568, 269, 1411, 2965, 1118, 621, 3100, 2731, 2653, 609, 707, 6881, 2705, 594, 547, 1265, 713, 2339, 547, 581, 2965, 1945, 799, 594, 3494, 594, 1131, 676, 1100, 1797, 1174, 269, 898, 2186, 540, 7959, 1932, 1950, 543, 1360, 3376, 585, 803, 269, 594, 6557, 2348, 513, 1413, 4464, 538, 707, 7766, 15476, 267, 594, 286, 961, 3801, 547, 1205, 519, 3180, 540, 621, 2439, 8618, 269, 596, 2461, 538, 1448, 540, 1249, 513, 5140, 1357, 24490, 269, 634, 3135, 15205, 10605, 568, 6909, 269, 898, 4990, 540, 7959, 602, 596, 2461, 3257, 1022, 10058, 8945, 269, 5015, 267, 634, 9115, 616, 4487, 1740, 269, 596, 4076, 2944, 513, 15999, 1184, 593, 713, 1888, 2439, 7830, 269, 8729, 585, 707, 20171, 269, 594, 849, 1589, 15291, 5904, 616, 4742, 811, 543, 811, 2442, 2221, 267, 543, 1631, 616, 2356, 519, 1152, 1106, 540, 2780, 1336, 538, 513, 7622, 269, 901, 568, 1813, 547, 519, 1249, 602, 693, 519, 1482, 942, 2965, 4742, 811, 543, 811, 20522, 267, 741, 2324, 1379, 8952, 3395, 547, 519, 1448, 1141, 789, 616, 607, 14984, 607, 26099, 779, 856, 540, 1175, 513, 1906, 1296, 3516, 780, 8287, 269, 6271, 1271, 851, 568, 602, 952, 596, 616, 606, 11361, 1268, 267, 2951, 6142, 5497, 585, 27404, 619, 568, 1945, 596, 1058, 2731, 1589, 827, 269, 634, 811, 9921, 596, 616, 267, 513, 2603, 811, 693, 1981, 596, 786, 581, 585, 1818, 1945, 3983, 4755, 547, 596, 1247, 538, 1776, 2197, 269, 1403, 596, 616, 711, 8209, 4988, 676, 3833, 513, 1906, 3102, 6142, 267, 596, 1223, 723, 930, 3978, 7965, 269, 8729, 585, 13031, 707, 10372, 593, 713, 1357, 5816, 780, 5038, 269, 594, 5963, 5660, 713, 2022, 269, 594, 286, 557, 1044, 3168, 782, 936, 585, 713, 256, 11289, 22556, 594, 1336, 621, 593, 29078, 269, 1411, 4076, 1500, 1250, 1554, 256, 11289, 596, 1586, 692, 5780, 269, 898, 779, 3617, 942, 547, 1118, 930, 4566, 585, 519, 2104, 543, 621, 779, 942, 547, 581, 6126, 269, 594, 723, 1224, 713, 2322, 909, 543, 952, 594, 1223, 594, 1616, 547, 2303, 596, 930, 4241, 2152, 610, 5796, 269, 12344, 596, 666, 2328, 7766, 4930, 3823, 713, 2376, 269, 594, 6999, 547, 1224, 1256, 811, 2152, 827, 621, 2439, 6858, 269, 7937, 1250, 22556, 256, 606, 6909, 2376, 546, 8775, 269, 11289, 596, 1717, 594, 6557, 7680, 3390, 609, 2712, 678, 1087, 1547, 5213, 286, 339, 917, 1946, 1133, 762, 547, 24049, 547, 621, 269, 1772, 972, 24455, 3478, 6697, 678, 1087, 17498, 728, 286, 7102, 7853, 945, 568, 3222, 540, 24963, 4431, 269, 774, 333, 330, 343, 692, 6924, 269, 28982, 1175, 4941, 547, 2285, 596, 513, 2656, 9843, 909, 269, 634, 1257, 538, 707, 2022, 3100, 547, 581, 4881, 1055, 519, 5496, 538, 6380, 926, 269, 594, 6557, 711, 2386, 952, 713, 568, 513, 11249, 3390, 610, 1945, 547, 798, 609, 11422, 17356, 855, 594, 23125, 594, 8910, 2022, 547, 1577, 596, 917, 269, 634, 2511, 543, 1374, 1413, 1390, 1498, 256, 16593, 596, 1205, 519, 3390, 6378, 4166, 269, 3509, 7064, 692, 7597, 269, 594, 4076, 1044, 17774, 532, 2228, 811, 982, 476, 274, 3108, 2221, 267, 2943, 594, 2760, 1336, 1022, 4277, 2376, 899, 16523, 269, 898, 568, 7168, 4502, 2614, 585, 803, 269, 769, 1250, 2070, 267, 952, 782, 1357, 5733, 1562, 543, 5816, 7970, 1500, 1434, 1543, 607, 596, 1705, 267, 519, 1357, 786, 581, 1454, 811, 3730, 982, 2479, 1354, 780, 3583, 269, 8729, 585, 519, 4555, 596, 2328, 827, 998, 713, 5816, 269, 769, 1840, 267, 3875, 1762, 2021, 945, 3100, 547, 1831, 9176, 2356, 798, 711, 1256, 2832, 547, 1205, 2564, 1416, 6142, 1317, 789, 5855, 789, 4465, 1406, 20618, 269, 4014, 513, 2603, 540, 2829, 693, 713, 4090, 2154, 602, 1202, 20445, 2285, 3795, 28000, 540, 519, 840, 25365, 2175, 269, 932, 1173, 525, 593, 782, 891, 16798, 3292, 616, 2356, 2362, 267, 855, 950, 3206, 827, 519, 1164, 1942, 540, 2564, 2126, 621, 949, 581, 519, 10930, 1259, 547, 979, 547, 2149, 519, 2883, 2104, 780, 10170, 269, 901, 1374, 568, 20498, 256, 1411, 1034, 6157, 917, 875, 547, 1832, 513, 5467, 7038, 539, 269, 9737, 707, 18854, 543, 707, 7044, 267, 594, 729, 3592, 6410, 547, 1376, 1250, 1378, 5816, 630, 6202, 267, 3592, 2507, 295, 320, 295, 320, 14386, 20646, 2880, 2816, 269, 594, 2731, 6068, 1018, 596, 1185, 547, 2161, 267, 543, 811, 982, 602, 267, 875, 596, 4843, 621, 269, 18320, 3579, 2439, 7761, 269, 13127, 364, 376, 22287, 350, 420, 354, 379, 417, 354, 354, 10429, 361, 9463, 372, 8633, 476, 30853, 19764, 488, 26033, 483, 692, 10463, 269, 594, 786, 849, 899, 547, 2161, 602, 1034, 540, 1346, 945, 1265, 2933, 1510, 1072, 6142, 616, 7363, 1053, 267, 1582, 15041, 23903, 543, 1004, 945, 616, 32014, 269, 2859, 982, 3368, 609, 519, 796, 1231, 3293, 616, 896, 519, 2085, 540, 774, 8812, 2947, 269, 1358, 798, 711, 2631, 789, 616, 16462, 1072, 6142, 2094, 789, 616, 1762, 543, 2635, 269, 4256, 4747, 568, 7363, 6170, 593, 8075, 267, 1426, 267, 543, 9913, 269, 3509, 1004, 602, 798, 2099, 519, 2324, 1362, 2901, 2898, 610, 607, 513, 15908, 616, 711, 6035, 6142, 998, 741, 6009, 865, 789, 979, 1510, 609, 519, 8375, 3902, 540, 1072, 6142, 538, 519, 721, 269, 8729, 585, 519, 2994, 596, 2328, 827, 998, 713, 5816, 780, 10619, 269, 3733, 7015, 5227, 594, 1522, 899, 713, 1357, 3135, 269, 1261, 729, 11207, 1318, 269, 901, 2022, 5963, 1500, 1250, 1554, 269, 1411, 666, 711, 4952, 3274, 875, 1454, 942, 594, 1185, 6170, 585, 713, 1344, 256, 8729, 2439, 4037, 269, 26272, 267, 6909, 5816, 11768, 256, 1215, 1279, 723, 596, 1044, 5816, 3101, 585, 286, 596, 1500, 5816, 3101, 1413, 2653, 269, 634, 2949, 1413, 540, 707, 1357, 3135, 568, 1390, 267, 1577, 4805, 519, 1543, 2439, 10602, 269, 2991, 594, 7620, 29499, 594, 4945, 539, 519, 910, 8253, 1518, 803, 950, 1007, 5955, 616, 3773, 268, 2638, 7901, 543, 1631, 1142, 942, 513, 6376, 568, 3773, 594, 1205, 476, 275, 15737, 609, 519, 9838, 6085, 269, 1772, 972, 1022, 6073, 596, 3580, 581, 2111, 547, 4894, 803, 689, 602, 3028, 286, 8729, 2439, 6507, 269, 8729, 585, 519, 4388, 596, 616, 4687, 593, 713, 1357, 8421, 269, 6271, 3364, 594, 1616, 547, 2161, 568, 602, 1419, 3478, 3180, 540, 5918, 27289, 540, 707, 5491, 1686, 538, 1931, 547, 29506, 1125, 6111, 540, 1142, 1469, 568, 835, 1101, 5163, 596, 723, 547, 22738, 538, 5491, 6454, 269, 1411, 616, 3168, 547, 2973, 909, 707, 5491, 5359, 689, 14124, 3877, 9073, 602, 3441, 707, 5491, 6060, 780, 4281, 269, 594, 2648, 707, 5816, 907, 1360, 8799, 4778, 1299, 6249, 269, 9894, 596, 1374, 713, 3896, 3054, 610, 1705, 596, 16926, 2576, 547, 798, 621, 585, 596, 286, 1773, 345, 16253, 607, 594, 6557, 3168, 547, 1711, 1250, 1378, 5816, 543, 1131, 899, 547, 1265, 856, 1141, 579, 3893, 713, 689, 269, 1082, 7064, 692, 8064, 269, 8729, 585, 519, 5363, 2022, 269, 898, 568, 849, 1250, 6644, 602, 8544, 32196, 2860, 814, 606, 5393, 1279, 26125, 942, 1974, 267, 799, 1797, 602, 2589, 540, 519, 2068, 1131, 7654, 711, 10836, 2394, 5555, 476, 1789, 547, 476, 2004, 1296, 1310, 519, 476, 272, 560, 4598, 547, 20702, 269, 20167, 1116, 8544, 32196, 267, 602, 568, 6157, 519, 1034, 1455, 4990, 543, 7506, 519, 1858, 1472, 519, 9641, 267, 949, 2014, 26032, 540, 7362, 267, 28244, 24074, 267, 1519, 513, 10770, 11522, 267, 799, 949, 3132, 23472, 909, 938, 1973, 780, 3199, 269, 594, 6557, 24330, 676, 519, 2298, 540, 713, 1543, 256, 634, 2278, 814, 15069, 2322, 513, 16854, 2179, 540, 4674, 883, 3695, 543, 1785, 1005, 519, 1344, 269, 898, 779, 11121, 547, 2097, 2066, 606, 2376, 602, 711, 1152, 3947, 3407, 1344, 855, 849, 8952, 519, 3988, 26970, 689, 1376, 547, 9096, 269, 4279, 2816, 547, 1864, 585, 6721, 971, 513, 7415, 4062, 2439, 10037, 269, 966, 16191, 9623, 269, 700, 13806, 803, 594, 1336, 707, 3896, 676, 8009, 267, 543, 594, 6557, 28280, 1946, 713, 8009, 4769, 1406, 5949, 4505, 256, 594, 1433, 5658, 539, 621, 780, 11025, 269, 594, 1175, 7948, 1406, 4734, 707, 3135, 1991, 547, 11021, 602, 594, 2965, 10150, 519, 3044, 1344, 513, 1268, 1683, 538, 707, 8436, 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 ]
[ 1811, 543, 11444, 269, 1879, 8704, 607, 513, 5397, 3118, 610, 13374, 267, 519, 5386, 1570, 3217, 513, 2182, 1305, 267, 1247, 519, 1071, 32242, 1570, 14380, 547, 519, 2627, 282, 621, 782, 13978, 538, 1747, 267, 2943, 28368, 3533, 563, 18528, 2397, 1063, 8302, 2196, 543, 16760, 6149, 454, 290, 6350, 615, 14840, 634, 7454, 21964, 12724, 1117, 12942, 9995, 3400, 767, 269, 634, 7454, 21964, 585, 19783, 14840, 769, 519, 1158, 540, 4070, 543, 30120, 16760, 6149, 2326, 616, 2141, 538, 5393, 1164, 3747, 1703, 616, 1082, 1114, 2010, 540, 14919, 2472, 2139, 543, 8302, 2196, 3788, 835, 540, 519, 1034, 4749, 521, 965, 3279, 1123, 585, 513, 1297, 540, 1114, 3156, 454, 290, 6350, 615, 1849, 1662, 540, 1849, 753, 26264, 674, 24655, 454, 10454, 19783, 11555, 3201, 14877, 15055, 922, 2123, 2230, 269, 901, 554, 592, 6362, 6149, 1793, 4461, 2666, 4559, 609, 513, 22800, 3774, 641, 10590, 12834, 634, 19783, 568, 513, 2582, 2389, 13759, 10943, 1662, 14124, 8878, 12260, 539, 693, 12706, 518, 8065, 1377, 476, 274, 269, 5272, 1906, 7643, 267, 519, 19783, 1793, 4461, 1524, 267, 3257, 5230, 3441, 547, 782, 2666, 4559, 538, 922, 8953, 269, 634, 2039, 540, 519, 19783, 6693, 3963, 1772, 15021, 12724, 1117, 6969, 8738, 660, 454, 290, 6350, 1117, 20553, 32254, 15021, 329, 1177, 19783, 269, 4208, 12724, 1117, 15021, 4208, 568, 5755, 16760, 909, 538, 513, 5755, 1379, 6728, 5755, 1379, 1965, 330, 558, 1927, 789, 1118, 909, 519, 11718, 26797, 543, 16760, 883, 5386, 8869, 2569, 519, 2679, 513, 1071, 2788, 1600, 1379, 6728, 568, 513, 1279, 543, 7199, 1205, 3902, 1946, 568, 5755, 16760, 547, 513, 8869, 1354, 1946, 568, 5755, 16760, 547, 513, 8869, 1354, 1373, 10480, 883, 513, 15245, 6423, 19672, 575, 339, 563, 305, 1442, 8302, 13613, 585, 1016, 4818, 716, 270, 9083, 276, 305, 286, 5682, 454, 14257, 476, 2641, 267, 476, 1708, 271, 6440, 1411, 666, 1406, 2007, 1524, 811, 982, 827, 476, 272, 270, 279, 892, 1354, 18644, 31329, 13355, 610, 630, 17141, 264, 8273, 3283, 269, 594, 1810, 1406, 917, 1018, 789, 2461, 1500, 540, 267, 855, 689, 1995, 530, 2718, 593, 873, 789, 3100, 547, 24807, 909, 7168, 1134, 269, 1284, 2461, 856, 540, 968, 1372, 14585, 894, 892, 4025, 547, 2322, 519, 2898, 3283, 267, 855, 594, 1223, 9090, 946, 16760, 909, 6149, 6693, 290, 6350, 615, 910, 606, 7650, 3163, 17445, 11762, 454, 290, 6350, 1117, 7626, 20555, 713, 10822, 11179, 543, 519, 10822, 24492, 338, 547, 513, 1507, 23740, 8023, 513, 4666, 6006, 335, 850, 269, 769, 519, 2680, 540, 513, 3119, 8302, 5821, 267, 519, 8302, 4452, 518, 568, 1031, 547, 29379, 519, 6006, 335, 850, 3842, 519, 10006, 10822, 267, 799, 29156, 607, 606, 6595, 5577, 704, 269, 6693, 290, 6350, 1117, 6149, 910, 9504, 454, 25889, 269, 12724, 1117, 6149, 568, 835, 540, 519, 1034, 3015, 2067, 2200, 267, 543, 568, 513, 2101, 2596, 6151, 1570, 1031, 676, 4070, 267, 6683, 267, 543, 824, 6080, 269, 8601, 519, 1970, 1871, 540, 922, 2596, 2472, 267, 519, 16760, 6149, 2872, 568, 513, 2101, 23784, 547, 543, 606, 13525, 540, 519, 2804, 1134, 5630, 540, 513, 4182, 269, 634, 3747, 585, 16760, 6149, 568, 5462, 6140, 676, 519, 1377, 540, 454, 18770, 823, 5225, 8627, 955, 12724, 1117, 6149, 3723, 902, 454, 290, 6350, 1117, 4224, 3723, 902, 4483, 519, 4452, 856, 8335, 982, 6405, 3723, 902, 269, 6875, 32493, 654, 8712, 585, 606, 1383, 269, 1403, 596, 723, 476, 279, 6279, 540, 16760, 4224, 3723, 532, 7933, 1778, 720, 5127, 896, 519, 476, 1015, 257, 5377, 6676, 540, 519, 3774, 267, 519, 16760, 4224, 19132, 519, 4452, 856, 693, 513, 476, 3393, 4110, 5086, 689, 519, 6316, 540, 519, 3723, 532, 6676, 267, 865, 596, 4584, 909, 513, 1454, 3677, 454, 12179, 821, 3116, 723, 519, 1350, 3558, 1141, 26883, 7288, 781, 1286, 8302, 4465, 454, 15919, 950, 594, 6415, 8380, 519, 1365, 27681, 1286, 883, 26883, 7288, 781, 1286, 8302, 936, 543, 936, 1586, 267, 5555, 519, 1286, 8302, 32195, 547, 24807, 519, 1286, 543, 1287, 3085, 1405, 1930, 1586, 2394, 594, 882, 1933, 519, 3014, 269, 898, 786, 2673, 267, 24807, 519, 1286, 267, 543, 1287, 3079, 540, 6679, 621, 5170, 547, 1118, 804, 21403, 21089, 563, 2691, 1677, 2422, 12724, 1117, 12942, 1306, 11534, 2216, 1677, 3400, 767, 1280, 589, 5741, 454, 2691, 621, 2501, 547, 2679, 267, 22409, 25597, 543, 30120, 2326, 267, 972, 616, 513, 2603, 540, 8677, 689, 799, 547, 3442, 269, 10289, 519, 3604, 1063, 2147, 2326, 971, 607, 16760, 6149, 543, 18574, 267, 4224, 5288, 6149, 786, 948, 596, 2824, 519, 1655, 2326, 585, 707, 1788, 907, 12724, 1117, 6149, 568, 1500, 689, 7725, 602, 723, 1044, 7745, 1524, 676, 6191, 1572, 19854, 267, 4758, 519, 10007, 811, 16070, 454, 290, 6350, 615, 12942, 1280, 20000, 3118, 910, 737, 342, 6545, 28485, 548, 454, 290, 6350, 1117, 6149, 267, 849, 1634, 607, 8302, 2196, 267, 568, 606, 14919, 3575, 540, 6149, 267, 18574, 543, 7452, 282, 2060, 1697, 12775, 267, 713, 1570, 786, 3180, 1134, 543, 711, 544, 28854, 538, 2182, 22856, 282, 12724, 1117, 6149, 666, 581, 1031, 585, 15211, 543, 5397, 1811, 282, 8605, 666, 4268, 676, 2450, 543, 2681, 267, 676, 4558, 543, 676, 3148, 2687, 547, 2199, 3761, 454, 763, 13159, 6651, 547, 12724, 1117, 12942, 543, 3400, 767, 454, 22261, 476, 1556, 267, 476, 1001, 280, 6440, 12724, 1117, 6149, 281, 1403, 596, 5873, 519, 13598, 968, 322, 6350, 1117, 6149, 892, 2165, 267, 621, 2356, 4016, 547, 6149, 602, 814, 513, 7848, 540, 6149, 7452, 538, 621, 269, 901, 1826, 540, 6149, 568, 1655, 1031, 585, 513, 3490, 950, 5230, 735, 9146, 568, 2877, 269, 1306, 513, 1267, 267, 621, 568, 3335, 1031, 585, 519, 3490, 540, 6405, 543, 22338, 3785, 267, 13210, 540, 3889, 267, 543, 5397, 3118, 13279, 563, 290, 6350, 615, 630, 3412, 11302, 633, 7177, 264, 910, 24722, 16376, 634, 2142, 770, 26264, 454, 13971, 476, 866, 267, 476, 1001, 280, 6440, 634, 19783, 1281, 711, 723, 513, 717, 21397, 269, 4414, 7723, 12071, 343, 630, 27184, 264, 568, 3403, 1540, 998, 519, 1283, 540, 519, 3818, 1532, 6674, 267, 998, 519, 3625, 3254, 2630, 269, 1879, 513, 4254, 610, 6221, 568, 12628, 883, 519, 4099, 8486, 267, 519, 11493, 1184, 786, 1376, 269, 2991, 513, 1906, 7643, 267, 519, 16760, 3688, 786, 6693, 290, 6350, 1667, 910, 606, 7650, 3163, 17445, 11762, 454, 288, 10265, 8302, 5161, 9247, 540, 1079, 11493, 10824, 267, 20916, 547, 1142, 824, 8108, 513, 8880, 6679, 676, 741, 2539, 10665, 269, 7698, 568, 16760, 1063, 513, 6378, 543, 513, 1940, 762, 6676, 676, 25262, 908, 2604, 2394, 519, 16760, 1587, 3587, 1507, 2614, 547, 6693, 1432, 568, 519, 946, 540, 513, 10265, 8302, 286, 910, 2372, 7702, 454, 297, 1177, 8302, 519, 7344, 3684, 602, 1031, 547, 24807, 519, 7725, 610, 22714, 538, 2372, 541, 11538, 543, 5599, 2872, 269, 3371, 519, 946, 540, 10265, 8302, 568, 267, 24807, 519, 2462, 4224, 610, 7626, 883, 4130, 4062, 269, 13575, 267, 713, 1184, 538, 1634, 607, 2450, 5786, 610, 11493, 563, 15037, 476, 1015, 267, 476, 1001, 276, 6440, 1411, 666, 1406, 1205, 519, 1482, 1267, 1210, 519, 13381, 6405, 1317, 972, 779, 1932, 1454, 11508, 1063, 519, 5070, 543, 16070, 16760, 10007, 538, 519, 13381, 3575, 563, 1432, 568, 19783, 14840, 286, 10222, 30252, 22493, 454, 1432, 568, 19783, 14840, 543, 4208, 568, 898, 13242, 286, 630, 9827, 595, 6817, 281, 9197, 2313, 543, 14840, 264, 19783, 2196, 568, 513, 20762, 3575, 540, 21432, 14919, 543, 5386, 14919, 269, 634, 4999, 540, 1312, 16760, 6149, 543, 6149, 7452, 5932, 513, 1970, 20704, 1543, 630, 1492, 2179, 540, 2230, 610, 2011, 1063, 519, 4773, 540, 4224, 538, 513, 3575, 264, 602, 568, 3407, 538, 6405, 4070, 585, 922, 735, 9146, 2702, 543, 12775, 4162, 563, 290, 6350, 1117, 12942, 24110, 281, 589, 13159, 6651, 454, 290, 6350, 1117, 6149, 1948, 6858, 1107, 590, 3278, 689, 476, 274, 270, 275, 16357, 1524, 547, 5386, 5536, 269, 1280, 6445, 267, 4155, 543, 28973, 3490, 269, 12724, 1117, 6149, 1948, 272, 1107, 590, 3278, 616, 689, 476, 273, 16357, 547, 476, 275, 16357, 269, 634, 4102, 540, 519, 16760, 6149, 9344, 269, 1280, 3677, 6009, 971, 513, 7583, 3200, 3440, 770, 269, 12724, 1117, 6149, 1948, 279, 1107, 590, 3278, 689, 476, 274, 270, 279, 16357, 547, 476, 272, 270, 273, 16357, 269, 1280, 6405, 543, 28372, 3575, 269, 12724, 1117, 6149, 1948, 274, 910, 306, 3278, 689, 476, 272, 270, 273, 16357, 547, 476, 273, 16357, 563, 24979, 5241, 538, 25115, 14409, 454, 13356, 476, 2918, 267, 476, 1001, 276, 6440, 1306, 8904, 27605, 519, 4224, 1524, 689, 519, 1283, 540, 519, 11493, 12068, 630, 12890, 264, 547, 519, 11166, 630, 29148, 20933, 1606, 23293, 1070, 782, 7725, 10929, 2789, 5222, 4929, 873, 547, 1205, 16760, 269, 2991, 570, 18199, 14885, 1161, 267, 8302, 616, 519, 1034, 2500, 610, 4398, 4224, 2450, 5786, 17200, 519, 7777, 4393, 2872, 814, 563, 1432, 568, 12724, 1117, 12942, 1948, 476, 6872, 888, 22261, 476, 2764, 267, 476, 1001, 278, 6440, 12724, 1117, 6149, 2306, 3785, 1279, 18835, 543, 3811, 269, 634, 9502, 269, 12724, 1117, 6149, 568, 3989, 607, 4070, 14919, 269, 589, 5078, 4224, 5250, 568, 24776, 267, 1287, 519, 4224, 568, 7745, 1524, 883, 1585, 7306, 609, 513, 8302, 269, 3400, 767, 15320, 689, 16760, 6149, 1813, 547, 519, 2067, 1184, 540, 11761, 543, 29056, 267, 543, 519, 17031, 3337, 563, 1805, 821, 28545, 6496, 333, 1405, 5617, 784, 7201, 14529, 951, 269, 3371, 779, 4208, 454, 1805, 821, 7452, 267, 3006, 1572, 4224, 7452, 267, 568, 513, 676, 28237, 540, 8302, 2196, 602, 779, 3177, 519, 28945, 4494, 585, 1082, 513, 533, 11232, 1788, 936, 519, 1296, 269, 2755, 621, 666, 960, 538, 930, 4070, 3156, 267, 972, 779, 513, 3395, 6284, 602, 5070, 1107, 18233, 6405, 5070, 538, 1880, 1107, 814, 8810, 2484, 811, 7123, 543, 15225, 3601, 602, 1118, 454, 303, 261, 304, 2160, 7689, 476, 278, 268, 9197, 5241, 1299, 18520, 27915, 454, 20225, 476, 6349, 267, 476, 1001, 280, 6440, 1879, 6149, 568, 9268, 538, 5985, 3119, 11493, 2371, 267, 14155, 2209, 610, 8868, 4452, 619, 3049, 519, 4224, 883, 519, 8302, 602, 568, 1305, 909, 693, 519, 26755, 3068, 267, 18574, 8486, 610, 538, 513, 9657, 13452, 610, 23542, 819, 3135, 269, 634, 16760, 1570, 568, 1287, 2901, 2366, 547, 519, 6281, 270, 614, 339, 10706, 4393, 3942, 3842, 10518, 532, 6655, 832, 610, 16487, 676, 18114, 563, 1805, 821, 1280, 20000, 1811, 281, 1548, 1411, 2052, 1656, 2052, 1405, 2422, 910, 24006, 1722, 454, 15037, 476, 2420, 267, 476, 1001, 278, 6440, 10911, 4785, 295, 2207, 681, 7419, 269, 19783, 2196, 568, 513, 3575, 540, 476, 6872, 21081, 924, 543, 21081, 924, 674, 1149, 799, 2306, 621, 4998, 585, 12775, 267, 9750, 543, 24931, 609, 5210, 267, 543, 735, 9146, 950, 1031, 607, 513, 3490, 269, 5269, 2386, 547, 723, 513, 1259, 547, 5150, 519, 5011, 540, 707, 5397, 3118, 609, 713, 1587, 267, 607, 519, 25342, 674, 1149, 630, 338, 22929, 1570, 264, 666, 11547, 513, 2370, 936, 942, 563, 288, 19750, 22750, 910, 5517, 25420, 910, 717, 19181, 2894, 5058, 589, 19851, 305, 3201, 8656, 454, 19878, 476, 1724, 267, 476, 1001, 274, 6440, 2334, 1797, 4155, 3490, 267, 1500, 2901, 689, 16760, 29170, 3072, 6149, 610, 16760, 6299, 1076, 269, 769, 713, 2013, 267, 22728, 781, 2469, 609, 16760, 6299, 1076, 693, 513, 3178, 6693, 1721, 6133, 6149, 24807, 3684, 2802, 11340, 807, 8302, 454, 306, 749, 19783, 267, 595, 821, 19783, 267, 26836, 19783, 267, 12942, 19783, 267, 2560, 8605, 281, 19783, 595, 821, 26836, 12942, 8177, 7233, 9197, 5241, 4643, 689, 3624, 693, 5510, 619, 547, 590, 749, 543, 1401, 1636, 667, 730, 11205, 476, 5400, 4239, 267, 476, 1220, 279, 476, 276, 281, 3066, 993, 595, 821, 19783, 30558, 6931, 518, 1315, 19270, 1511, 31615, 548, 2672, 3386, 1280, 932, 1315, 670, 10022, 595, 821, 19783, 910, 1635, 1744, 1495, 320, 290, 6350, 615, 910, 2201, 570, 826, 476, 2537, 4455, 267, 476, 1001, 280, 476, 272, 281, 7367, 993, 281, 8302, 607, 2630, 476, 272, 3126, 476, 274, 476, 275, 26528, 476, 276, 16006, 6693, 305, 1442, 9197, 5241, 14329, 540, 774, 3518, 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, 258, 324, 6470, 1259, 267, 19474, 621, 454, 3698, 782, 318, 684, 1664, 27133, 263, 1492, 21803, 2187, 453, 1729, 13729, 815, 1305, 263, 1492, 21803, 994, 14851, 12759, 263, 1729, 13729, 264, 283, 6352, 263, 1492, 21803, 15892, 453, 16596, 8771, 454, 16596, 6936, 692, 16341, 21803, 815, 1412, 13741, 322, 3698, 262, 1948, 16178, 454, 2745, 263, 718, 318, 684, 1664, 27133, 4433, 727, 21803, 11723, 258, 263, 14551, 518, 264, 1259, 267, 4990, 1287, 2638, 1142, 3693, 609, 519, 1985, 454, 3698, 8424, 318, 10090, 1807, 263, 1492, 21803, 2187, 22610, 1775, 538, 2039, 12759, 263, 1492, 21803, 15892, 453, 453, 344, 1752, 519, 21803, 5157, 316, 1341, 519, 21803, 27007, 328, 266, 272, 264, 260, 6352, 263, 1492, 21803, 264, 6540, 3698, 782, 318, 684, 1664, 318, 3438, 1807, 263, 1492, 21803, 2187, 453, 338, 9285, 21803, 815, 15044, 263, 1492, 21803, 994, 22610, 630, 322, 272, 22698, 273, 264, 538, 8424, 318, 10090, 1807, 4433, 9285, 21803, 2187, 453, 14851, 6262, 272, 2525, 322, 273, 2187, 4848, 16596, 8771, 454, 16596, 6936, 692, 2745, 263, 718, 318, 684, 1664, 318, 3438, 1807, 4433, 727, 21803, 11723, 0, 5814, 6908, 26569, 607, 588, 1477, 5814, 21795, 607, 19073, 1477, 5814, 15255, 1470, 1477, 560, 26644, 2891, 288, 2364, 24265, 16948, 21362, 4592, 632, 7313, 345, 657, 14744, 560, 269, 2515, 8663, 26644, 2891, 24464, 14243, 14744, 258, 342, 573, 1326, 683, 806, 7534, 607, 793, 541, 4632, 1477, 641, 322, 542, 525, 18425, 545, 1470, 284, 560, 269, 2515, 8663, 269, 2784, 1470, 2891, 5353, 548, 764, 7748, 19448, 1566, 857, 11252, 2580, 22373, 1103, 545, 1470, 2580, 834, 291, 520, 657, 14824, 290, 5451, 331, 1529, 657, 19312, 10142, 1012, 8867, 518, 1714, 7373, 549, 1547, 299, 3008, 1477, 1105, 16343, 9078, 553, 284, 20393, 1470, 18667, 2891, 303, 9926, 334, 268, 272, 11482, 3008, 14744, 4206, 284, 1105, 16343, 9078, 553, 269, 4206, 31476, 1012, 5897, 604, 1566, 322, 542, 525, 18425, 545, 1470, 2525, 257, 1103, 545, 1470, 257, 6769, 453, 560, 22182, 2891, 28808, 637, 6759, 620, 769, 545, 1470, 14744, 453, 560, 22182, 29254, 3418, 604, 1566, 322, 542, 525, 18425, 545, 1470, 2525, 257, 291, 520, 657, 257, 6769, 453, 560, 22182, 2891, 28808, 637, 6759, 513, 13096, 657, 14744, 453, 8663, 571, 5091, 525, 331, 714, 11456, 284, 560, 4732, 331, 3187, 2891, 5353, 548, 764, 7748, 796, 27089, 2580, 476, 272, 267, 476, 1911, 267, 476, 1789, 3418, 453, 560, 22182, 2891, 14976, 27089, 694, 548, 764, 542, 320, 1965, 2580, 3046, 571, 5091, 525, 331, 714, 11456, 3418, 453, 532, 637, 334, 19571, 3266, 284, 560, 8542, 3784, 17750, 2891, 28808, 516, 572, 796, 27089, 2580, 1295, 19056, 284, 272, 269, 876, 267, 3193, 19056, 284, 1911, 271, 269, 876, 267, 1871, 284, 4968, 269, 876, 3418, 604, 1566, 322, 542, 525, 18425, 545, 1470, 2525, 257, 290, 5451, 331, 1529, 657, 257, 6769, 453, 560, 22182, 2891, 28808, 637, 6759, 513, 595, 5451, 331, 1529, 657, 14744, 453, 572, 3005, 284, 560, 269, 572, 937, 7901, 2891, 5353, 548, 764, 7748, 19448, 1566, 857, 11252, 2580, 1496, 272, 267, 273, 267, 274, 2437, 288, 19312, 3418, 453, 13765, 272, 284, 560, 269, 13765, 7901, 2891, 8002, 643, 541, 14744, 14851, 2638, 272, 2525, 12148, 281, 1948, 1260, 1706, 30685, 598, 798, 1076, 28075, 783, 1477, 453, 453, 560, 22182, 2891, 13425, 1437, 334, 14744, 1105, 16343, 5334, 889, 18480, 284, 560, 269, 2515, 8663, 8807, 850, 318, 340, 22744, 518, 2891, 290, 1173, 541, 2895, 16343, 14133, 2580, 1826, 17342, 2668, 343, 3149, 14824, 269, 343, 3149, 343, 257, 8079, 476, 1948, 322, 1173, 541, 2895, 16343, 14133, 1477, 604, 2895, 16343, 5334, 889, 18480, 568, 711, 7183, 6769, 453, 4206, 273, 284, 335, 323, 18667, 318, 1410, 4897, 263, 1105, 16343, 5334, 889, 18480, 3418, 453, 560, 22182, 29254, 273, 10142, 2102, 516, 815, 588, 269, 2784, 1470, 2891, 1432, 781, 707, 5172, 7260, 9135, 2580, 2891, 4467, 9037, 2580, 834, 291, 18769, 2580, 834, 291, 17805, 776, 8442, 3418, 604, 9135, 2652, 257, 4467, 9037, 257, 6769, 453, 560, 22182, 2891, 2791, 5697, 18792, 1701, 3418, 12828, 6769, 453, 560, 22182, 2891, 2791, 4769, 1405, 2824, 18792, 1701, 3418, 0, 19399, 2971, 7462, 454, 16482, 258, 1363, 476, 1911, 696, 910, 11554, 609, 2052, 11663, 454, 16482, 19399, 2971, 7462, 7531, 258, 5410, 513, 7735, 1572, 834, 14738, 4840, 258, 5269, 621, 865, 602, 950, 596, 2046, 519, 16181, 267, 519, 24814, 7575, 547, 519, 2451, 610, 1318, 692, 5228, 570, 330, 5793, 1104, 27661, 10174, 815, 570, 330, 4590, 258, 8073, 938, 2721, 25247, 543, 24814, 454, 9526, 25247, 815, 2052, 11663, 20172, 267, 8700, 284, 21878, 267, 19417, 284, 17168, 267, 4282, 8782, 19009, 5073, 15772, 815, 2721, 25247, 269, 22056, 318, 15772, 263, 8182, 267, 8182, 267, 17168, 267, 17168, 267, 6445, 6889, 1042, 5602, 3847, 815, 910, 1015, 454, 2431, 815, 476, 1015, 454, 5035, 3733, 7343, 912, 22592, 6449, 8181, 9191, 1345, 267, 2385, 2187, 453, 1038, 1948, 5269, 2386, 519, 2721, 25247, 568, 3015, 689, 3330, 519, 1599, 454, 453, 1038, 2518, 2721, 25247, 454, 453, 19677, 269, 3240, 21122, 815, 2385, 22322, 453, 19677, 269, 3240, 3519, 1555, 518, 272, 815, 31108, 263, 8001, 994, 453, 19677, 269, 3240, 3519, 1555, 518, 272, 4877, 871, 4590, 453, 19677, 269, 3240, 3519, 1555, 518, 273, 815, 31108, 263, 8001, 994, 453, 19677, 269, 3240, 3519, 1555, 518, 273, 4877, 871, 4590, 4848, 454, 453, 19677, 269, 31728, 272, 815, 29502, 4311, 269, 3240, 3519, 1555, 518, 272, 994, 453, 19677, 269, 31728, 272, 269, 20813, 2682, 29495, 6889, 29381, 2580, 4282, 284, 834, 13582, 5602, 453, 19677, 269, 31728, 272, 26942, 21405, 284, 271, 267, 26383, 284, 271, 994, 4848, 454, 453, 1038, 1948, 5410, 513, 2034, 7735, 2336, 20930, 454, 453, 19677, 269, 31728, 273, 815, 29502, 4311, 269, 3240, 3519, 1555, 518, 273, 994, 453, 19677, 269, 31728, 273, 269, 20813, 2682, 29495, 6889, 14738, 2580, 4282, 284, 834, 2775, 19990, 5602, 453, 19677, 269, 31728, 273, 26942, 21405, 284, 271, 267, 26383, 284, 272, 264, 20930, 20930, 20930, 454, 453, 19677, 269, 31728, 272, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 1582, 269, 31728, 272, 12812, 994, 453, 19677, 269, 31728, 273, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 1582, 269, 31728, 273, 12812, 994, 4848, 22322, 453, 453, 258, 901, 5932, 519, 2721, 25247, 910, 1100, 991, 547, 1689, 713, 3097, 453, 453, 9526, 25247, 4877, 871, 4590, 4848, 692, 4848, 454, 22592, 7735, 272, 12812, 4311, 267, 2680, 2567, 825, 454, 453, 453, 258, 5269, 519, 24814, 1847, 547, 519, 2451, 2336, 3546, 1948, 834, 29514, 257, 2306, 2386, 602, 649, 666, 1569, 938, 24814, 543, 938, 2721, 25247, 454, 453, 453, 29514, 24814, 454, 453, 453, 29514, 2721, 25247, 454, 453, 453, 29514, 2451, 454, 453, 1038, 1535, 272, 267, 586, 272, 267, 1535, 273, 267, 586, 273, 815, 2721, 25247, 16691, 3581, 263, 15772, 994, 453, 1038, 2721, 25247, 6230, 913, 263, 15772, 267, 3847, 267, 271, 994, 453, 1038, 952, 1535, 273, 3436, 2721, 25247, 269, 7773, 325, 334, 318, 12296, 263, 2567, 3097, 453, 17264, 2721, 25247, 6230, 913, 263, 15772, 16427, 9526, 25247, 269, 7773, 325, 334, 318, 12296, 19572, 271, 994, 453, 1038, 952, 1535, 273, 2999, 476, 271, 912, 453, 17264, 2721, 25247, 6230, 913, 263, 15772, 267, 9526, 25247, 269, 7773, 325, 334, 318, 12296, 19572, 271, 994, 453, 258, 5410, 519, 2680, 1688, 2401, 585, 519, 2034, 7735, 547, 1118, 621, 1847, 1318, 2336, 22592, 7735, 273, 12812, 4311, 267, 2680, 2187, 453, 1038, 2518, 24814, 454, 453, 1038, 2518, 1743, 342, 777, 611, 454, 453, 1038, 2518, 1318, 454, 453, 1038, 1535, 272, 267, 586, 272, 267, 1535, 273, 267, 586, 273, 815, 2721, 25247, 16691, 3581, 263, 15772, 994, 453, 1038, 2721, 25247, 6230, 913, 263, 15772, 267, 2431, 267, 271, 994, 453, 1038, 952, 1535, 272, 3436, 2721, 25247, 269, 7773, 325, 334, 318, 12296, 263, 2567, 3097, 453, 17264, 2721, 25247, 6230, 913, 263, 15772, 16427, 9526, 25247, 269, 7773, 325, 334, 318, 12296, 19572, 271, 994, 453, 1038, 952, 1535, 272, 2999, 476, 271, 912, 453, 17264, 2721, 25247, 6230, 913, 263, 15772, 267, 9526, 25247, 269, 7773, 325, 334, 318, 12296, 19572, 271, 994, 4848, 454, 3240, 1952, 815, 3733, 7343, 20172, 994, 10174, 6230, 664, 31467, 3890, 0, 5814, 4351, 454, 333, 727, 14352, 6358, 3488, 21745, 924, 19804, 562, 727, 2433, 29125, 333, 727, 273, 14352, 6358, 3488, 21745, 924, 19804, 5302, 1495, 334, 562, 727, 2433, 29125, 333, 727, 274, 14352, 6358, 3488, 21745, 924, 19804, 1768, 576, 10098, 562, 727, 281, 29125, 333, 727, 275, 14352, 6358, 3488, 21745, 924, 19804, 14415, 334, 562, 727, 2433, 29125, 4289, 320, 17342, 333, 727, 19885, 727, 273, 19885, 727, 274, 19885, 727, 275, 2639, 333, 1889, 284, 12690, 11075, 28984, 17338, 320, 2020, 2745, 3488, 320, 3921, 655, 632, 3284, 6974, 320, 23843, 1583, 320, 281, 5073, 2745, 17338, 320, 994, 258, 1889, 8775, 639, 1089, 320, 9087, 328, 964, 2378, 1470, 267, 1303, 754, 328, 1714, 320, 267, 31736, 332, 721, 541, 12190, 1774, 8619, 5033, 5432, 573, 1228, 561, 2444, 320, 476, 0, 2181, 9809, 334, 284, 15615, 9272, 3488, 23974, 522, 2892, 9222, 798, 30775, 542, 9222, 29125, 9188, 322, 284, 2181, 9809, 334, 23444, 2181, 9809, 334, 265, 1428, 270, 1911, 994, 2745, 3488, 334, 30775, 542, 9222, 1780, 320, 513, 575, 534, 9618, 15079, 635, 522, 513, 2163, 334, 632, 476, 1428, 260, 13005, 562, 1601, 320, 3227, 25564, 8339, 8971, 5560, 525, 322, 11723, 0, 5814, 19523, 692, 3698, 6241, 318, 2745, 19304, 902, 267, 2985, 318, 12296, 284, 3953, 267, 9184, 318, 12296, 284, 275, 2187, 825, 562, 3712, 338, 815, 7003, 19304, 902, 994, 825, 1948, 5417, 2230, 585, 29601, 454, 825, 2985, 318, 12296, 20699, 630, 333, 3712, 338, 910, 476, 272, 264, 2608, 9184, 318, 12296, 454, 825, 8700, 815, 2985, 318, 12296, 12262, 562, 3712, 338, 692, 825, 1948, 1247, 972, 568, 1239, 2451, 547, 1820, 454, 825, 1247, 711, 782, 30415, 2652, 834, 257, 585, 5569, 538, 12673, 2187, 1038, 585, 1775, 267, 521, 538, 26246, 19304, 902, 2187, 2018, 1948, 979, 547, 513, 1007, 1899, 585, 1142, 6241, 454, 2018, 952, 1775, 2652, 476, 271, 281, 1820, 4590, 2018, 1948, 952, 519, 6241, 1239, 3085, 1405, 2291, 1711, 621, 1210, 1237, 335, 571, 924, 2230, 454, 2018, 547, 318, 2745, 815, 834, 834, 2608, 8700, 952, 521, 2652, 834, 257, 3116, 521, 11468, 12296, 2639, 2018, 1948, 952, 519, 6241, 1239, 1281, 2291, 855, 568, 1932, 2110, 267, 3097, 2018, 1948, 1039, 2230, 547, 1832, 8228, 7833, 454, 2018, 952, 7003, 263, 1729, 318, 2745, 264, 2999, 8700, 281, 547, 318, 2745, 6834, 9497, 834, 16732, 12296, 2000, 523, 263, 1729, 318, 2745, 21875, 2018, 1948, 1039, 9184, 2230, 547, 519, 1318, 540, 1169, 6241, 4849, 519, 2063, 454, 2018, 9184, 815, 834, 257, 952, 1775, 2525, 6352, 19304, 902, 9984, 272, 3116, 834, 834, 2608, 339, 629, 318, 12296, 454, 2018, 1948, 4894, 9102, 1239, 689, 1592, 540, 12673, 3097, 2018, 12673, 5157, 316, 815, 521, 314, 12296, 281, 2639, 2018, 1820, 263, 1729, 318, 2745, 266, 339, 629, 267, 1439, 284, 3269, 994, 825, 1820, 4590, 13872, 27030, 27030, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 562, 815, 703, 9272, 2891, 11133, 12673, 27363, 825, 561, 815, 11713, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 561, 6910, 9272, 2891, 11415, 15079, 2668, 3898, 9217, 21875, 825, 1820, 10857, 9239, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 273, 912, 1038, 6241, 318, 2745, 10857, 267, 2985, 318, 12296, 25507, 4433, 903, 27769, 341, 314, 272, 28413, 825, 8640, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 274, 912, 1038, 6241, 318, 2745, 10857, 267, 2985, 318, 12296, 25507, 4433, 903, 27769, 341, 314, 272, 25818, 9184, 318, 12296, 25507, 4433, 903, 27769, 341, 314, 273, 28413, 825, 3116, 912, 1038, 6241, 318, 2745, 10857, 994, 0, 1012, 570, 7495, 302, 281, 5581, 519, 28708, 531, 8849, 3060, 6189, 692, 5814, 23290, 454, 5228, 23290, 269, 2246, 690, 2784, 1104, 24438, 454, 5814, 23290, 8542, 333, 607, 562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3126, 5438, 1329, 1424, 4457, 585, 16504, 568, 5360, 1221, 585, 10026, 1053, 538, 17289, 269, 769, 782, 621, 814, 3670, 2157, 543, 1142, 1377, 568, 2966, 547, 581, 6026, 585, 835, 1032, 269, 9906, 3883, 281, 3962, 1433, 2488, 12667, 21849, 2592, 543, 2502, 4928, 2238, 971, 607, 3756, 267, 8964, 267, 9954, 267, 30053, 267, 543, 32705, 4247, 269, 634, 4457, 1565, 3460, 786, 581, 1312, 1187, 543, 6209, 585, 1762, 6267, 269, 4518, 1504, 281, 634, 23519, 3947, 6267, 519, 1566, 2483, 3528, 4139, 5678, 3194, 543, 4886, 9919, 454, 26261, 3724, 281, 476, 1960, 3817, 454, 21812, 281, 14451, 4065, 4964, 630, 21938, 476, 272, 267, 476, 1220, 279, 994, 26705, 281, 7300, 7956, 29255, 307, 19545, 454, 305, 629, 4226, 589, 6490, 7546, 4647, 7824, 4365, 20243, 269, 706, 1188, 323, 985, 3820, 829, 807, 677, 4345, 269, 706, 1188, 323, 985, 3820, 1268, 8595, 269, 706, 1188, 323, 985, 3820, 2386, 20584, 539, 1145, 269, 706, 1188, 323, 985, 3820, 2756, 665, 817, 22863, 269, 706, 1188, 323, 985, 3820, 1280, 11655, 540, 1520, 320, 3828, 626, 281, 26831, 2501, 513, 4241, 4605, 1433, 12092, 540, 513, 21722, 4775, 10196, 734, 15367, 6068, 20641, 256, 12988, 538, 519, 2395, 540, 1279, 1236, 16630, 1862, 4647, 1433, 10236, 984, 5735, 269, 706, 1188, 323, 985, 3820, 0, 288, 5618, 1686, 540, 17281, 269, 23770, 23101, 267, 519, 1101, 268, 1197, 4775, 16727, 22299, 269, 23770, 23101, 729, 835, 540, 519, 1906, 4775, 5716, 547, 4196, 676, 18530, 519, 3440, 909, 1354, 3267, 634, 4720, 540, 17281, 538, 519, 476, 736, 555, 2540, 269, 634, 13642, 590, 4594, 1107, 519, 18678, 3804, 2336, 307, 12447, 693, 519, 21396, 268, 5013, 543, 1344, 269, 570, 12447, 693, 519, 21396, 269, 910, 5013, 543, 1344, 269, 570, 12447, 814, 1044, 851, 540, 519, 16727, 1982, 476, 1240, 2053, 269, 2991, 519, 21586, 21396, 513, 2698, 540, 476, 10037, 30407, 5036, 723, 1044, 13752, 538, 16727, 570, 12447, 269, 3619, 1934, 585, 606, 782, 6066, 1592, 540, 29274, 1235, 538, 570, 12447, 563, 9596, 827, 519, 1686, 540, 17281, 693, 519, 21396, 269, 7330, 4653, 11846, 269, 8303, 267, 476, 5002, 271, 281, 23770, 834, 30942, 339, 773, 257, 23101, 267, 476, 3066, 267, 540, 631, 26680, 1410, 267, 4789, 267, 2968, 519, 1101, 4759, 540, 519, 3655, 790, 337, 3023, 547, 581, 7715, 2740, 22299, 693, 519, 2413, 21396, 269, 23101, 267, 945, 849, 4465, 2947, 654, 12494, 1194, 517, 2206, 956, 10643, 1063, 476, 6245, 276, 543, 476, 5002, 279, 267, 5030, 547, 581, 476, 9834, 1296, 2025, 563, 307, 12447, 814, 513, 1279, 16727, 1686, 855, 24013, 4319, 689, 519, 10872, 1310, 476, 4572, 275, 269, 898, 1705, 711, 2132, 607, 513, 30407, 7328, 2394, 476, 2735, 279, 269, 28968, 616, 1631, 10950, 547, 14526, 267, 543, 519, 16727, 6735, 2882, 2367, 781, 543, 2021, 781, 2206, 956, 267, 2367, 781, 543, 2021, 781, 29156, 543, 6404, 29156, 563, 307, 12447, 729, 593, 519, 16727, 1982, 332, 1030, 668, 519, 10632, 540, 519, 594, 10493, 328, 611, 538, 18603, 538, 476, 6245, 277, 267, 2394, 519, 10632, 540, 519, 24163, 10493, 328, 611, 538, 8303, 538, 476, 4572, 275, 269, 898, 729, 1287, 6569, 689, 519, 10872, 454, 272, 264, 634, 13879, 590, 8651, 269, 590, 699, 3534, 543, 19026, 13879, 723, 4465, 811, 16727, 575, 9529, 538, 17281, 982, 4896, 3116, 269, 5637, 540, 873, 723, 4465, 476, 275, 4154, 1199, 1023, 2073, 476, 274, 540, 799, 723, 2097, 538, 519, 6468, 779, 8935, 7632, 2680, 538, 17638, 476, 1220, 271, 2073, 19864, 476, 1220, 279, 543, 5507, 476, 1001, 273, 269, 590, 699, 3534, 4465, 1200, 2206, 956, 4154, 693, 5507, 1247, 19026, 4465, 1200, 2206, 956, 4154, 1259, 1394, 538, 17638, 4586, 307, 12447, 814, 513, 1279, 1686, 693, 519, 16727, 10632, 269, 570, 12447, 729, 5129, 693, 519, 21396, 2394, 476, 4572, 275, 267, 1287, 5368, 560, 21114, 538, 476, 2735, 279, 269, 1703, 568, 4867, 513, 2367, 781, 543, 2021, 781, 2206, 956, 543, 29156, 29658, 267, 543, 2094, 5507, 476, 1001, 273, 972, 814, 849, 1044, 513, 6404, 29156, 2680, 563, 307, 12447, 693, 519, 14400, 21396, 269, 570, 12447, 729, 851, 540, 519, 14400, 16727, 10632, 1982, 689, 519, 22305, 1116, 476, 6245, 277, 14400, 21396, 267, 855, 729, 12628, 1310, 519, 476, 4572, 275, 14400, 21396, 1813, 547, 13882, 1063, 519, 4139, 4521, 333, 570, 12447, 18966, 543, 519, 4139, 16727, 9730, 936, 875, 547, 5581, 23153, 5716, 269, 0, 3721, 676, 5153, 281, 1215, 547, 1711, 513, 30362, 6177, 321, 987, 454, 2252, 596, 723, 513, 6177, 321, 987, 602, 781, 856, 18584, 267, 7745, 610, 1175, 2115, 930, 795, 1794, 4506, 909, 267, 1946, 711, 2030, 930, 13151, 28684, 538, 621, 286, 2336, 2080, 781, 1018, 596, 3513, 991, 585, 713, 1788, 912, 2304, 8900, 6177, 8602, 454, 7312, 3903, 540, 13151, 28684, 630, 1122, 269, 12054, 704, 341, 643, 4548, 267, 661, 3832, 591, 807, 543, 20767, 4548, 994, 1607, 568, 1018, 596, 3513, 798, 912, 272, 269, 3689, 16590, 513, 8559, 693, 519, 5377, 540, 519, 6177, 321, 987, 585, 12775, 563, 263, 16352, 693, 2547, 835, 12775, 8559, 568, 2629, 256, 2672, 764, 28684, 1810, 1405, 899, 741, 3952, 547, 581, 7555, 538, 1216, 26695, 273, 269, 2991, 519, 12775, 9475, 616, 1500, 267, 1039, 519, 3037, 269, 898, 781, 1655, 547, 946, 30362, 3037, 630, 528, 513, 7848, 540, 5757, 5070, 543, 11003, 910, 5223, 281, 476, 274, 281, 272, 264, 547, 2327, 1434, 12775, 3217, 1747, 563, 2791, 666, 544, 895, 519, 3037, 538, 519, 1647, 547, 1711, 930, 4463, 267, 952, 9053, 269, 630, 18034, 952, 1210, 1970, 3395, 13151, 28684, 994, 274, 269, 1411, 666, 1631, 1376, 547, 2030, 707, 13151, 28684, 269, 5620, 693, 2547, 835, 3677, 30362, 267, 476, 273, 610, 476, 274, 5420, 2450, 3283, 543, 513, 1906, 4130, 3283, 269, 7233, 707, 5386, 20767, 636, 547, 519, 4395, 910, 547, 28663, 22107, 1228, 936, 519, 8728, 540, 519, 6177, 321, 987, 269, 1411, 666, 1039, 930, 5642, 7594, 693, 519, 3597, 1377, 540, 1142, 2030, 547, 5000, 3597, 1646, 563, 275, 269, 5410, 930, 6149, 538, 1063, 707, 13151, 28684, 910, 2523, 8799, 547, 6445, 1346, 1930, 10616, 1247, 707, 2371, 616, 1869, 1762, 543, 1507, 563, 4517, 3423, 320, 319, 256, 1323, 8216, 1216, 8797, 4183, 585, 707, 4677, 2336, 276, 269, 5457, 547, 1216, 707, 13151, 28684, 2047, 1310, 13003, 532, 873, 563, 277, 269, 2991, 3249, 281, 5457, 547, 2760, 2285, 1216, 950, 972, 781, 1869, 2614, 7509, 538, 519, 3037, 1862, 24175, 764, 28684, 1810, 1405, 5660, 621, 1373, 936, 530, 23926, 2336, 2807, 4131, 721, 917, 952, 596, 2119, 713, 856, 256, 1284, 1131, 2648, 547, 1294, 621, 2336, 263, 21900, 657, 3838, 689, 2672, 764, 28684, 543, 6129, 3333, 710, 264, 0, 268, 6496, 5982, 2110, 523, 707, 1272, 888, 268, 1772, 5982, 8338, 982, 2447, 334, 888, 268, 1548, 616, 519, 11393, 540, 5982, 3797, 888, 268, 1215, 1279, 1310, 5982, 798, 596, 1376, 547, 1745, 1732, 888, 268, 6496, 5982, 14020, 707, 4761, 1062, 888, 268, 2052, 596, 1205, 5982, 2126, 811, 982, 2899, 888, 268, 2311, 1018, 3942, 540, 2860, 568, 2234, 23956, 1031, 888, 268, 1548, 568, 519, 1967, 2557, 540, 5982, 3797, 888, 268, 2052, 596, 1152, 723, 5982, 2899, 888, 9989, 5982, 2110, 523, 707, 1272, 888, 4692, 1356, 15000, 4043, 547, 723, 10156, 22007, 727, 637, 982, 3339, 7606, 693, 519, 1482, 2085, 563, 1607, 1797, 602, 789, 616, 4587, 982, 741, 4890, 1296, 563, 2005, 1223, 581, 519, 14021, 543, 6757, 18068, 543, 5982, 3797, 602, 814, 3366, 547, 713, 4466, 2161, 3173, 10756, 3674, 5982, 8338, 982, 2447, 334, 888, 20238, 2747, 3797, 3322, 4758, 1164, 13066, 540, 5982, 20832, 2047, 883, 513, 10510, 269, 634, 5982, 20832, 1689, 519, 5027, 17539, 540, 519, 10510, 267, 4929, 621, 547, 16756, 610, 5884, 269, 901, 1826, 540, 2860, 2126, 814, 7864, 2427, 2360, 982, 18068, 2094, 621, 1152, 9072, 835, 1858, 540, 519, 1560, 563, 1432, 616, 519, 11393, 540, 5982, 3797, 888, 1432, 616, 519, 11393, 286, 7101, 23956, 666, 2014, 2427, 2360, 267, 1519, 13110, 1145, 267, 19210, 543, 2196, 5500, 1093, 334, 630, 10972, 1551, 21539, 320, 1040, 1403, 596, 723, 2447, 528, 611, 23956, 267, 596, 949, 1205, 2427, 2360, 689, 519, 18068, 563, 1692, 1279, 1310, 5982, 798, 596, 1376, 547, 1745, 1732, 888, 15900, 2427, 2360, 267, 971, 607, 15353, 543, 9854, 267, 2356, 1810, 1406, 2063, 1279, 269, 1358, 949, 1376, 1282, 610, 1318, 1310, 2126, 543, 2063, 585, 1896, 4374, 1310, 621, 7475, 267, 855, 1287, 789, 1205, 1732, 269, 17623, 2427, 2360, 267, 971, 607, 5761, 610, 2295, 2042, 267, 949, 1491, 1296, 547, 1397, 909, 543, 616, 1419, 8628, 950, 789, 798, 563, 9989, 5982, 14020, 707, 4761, 1062, 888, 20238, 2747, 3797, 666, 5732, 1860, 707, 4761, 1062, 267, 2523, 952, 513, 1713, 2179, 540, 5642, 20768, 568, 1373, 23735, 7007, 1317, 540, 922, 1909, 538, 2870, 3043, 1973, 2281, 269, 1717, 267, 713, 3085, 1406, 3335, 16401, 519, 4761, 1062, 2614, 547, 1118, 596, 811, 11630, 547, 5563, 563, 4692, 596, 1205, 5982, 2126, 811, 982, 2899, 888, 20238, 2747, 3797, 568, 513, 8748, 1907, 1031, 547, 1521, 543, 1419, 10826, 1082, 11871, 950, 519, 2860, 568, 22297, 547, 835, 1747, 538, 519, 1560, 269, 769, 2824, 2665, 267, 5982, 3797, 666, 581, 1031, 513, 2034, 942, 538, 519, 1482, 3461, 563, 4263, 1018, 3942, 540, 2860, 568, 2234, 23956, 1031, 888, 20238, 23956, 949, 581, 1031, 538, 519, 2038, 5933, 540, 2860, 610, 1310, 621, 814, 3323, 547, 3262, 269, 898, 666, 581, 1031, 547, 281, 2119, 547, 10826, 519, 2860, 4625, 630, 2017, 894, 2234, 23956, 264, 1118, 824, 5574, 811, 2500, 1107, 585, 1383, 267, 621, 666, 581, 5916, 609, 18068, 610, 1031, 1354, 6391, 630, 928, 334, 14194, 9857, 2779, 2234, 23956, 994, 1432, 568, 519, 1967, 2557, 540, 5982, 3797, 888, 2691, 621, 2501, 547, 2038, 5933, 540, 2068, 267, 2550, 1360, 4749, 798, 1134, 609, 2901, 2909, 16408, 1492, 2805, 610, 5007, 11237, 5982, 269, 11773, 3928, 540, 1472, 476, 3445, 260, 610, 2362, 666, 581, 6913, 609, 2901, 1935, 563, 4692, 596, 1152, 723, 5982, 2899, 888, 4692, 5982, 3797, 581, 7368, 547, 519, 1482, 1858, 1586, 286, 9509, 1673, 846, 5982, 568, 2356, 2016, 1152, 2899, 547, 513, 1880, 851, 540, 519, 1560, 269, 2659, 3339, 8031, 666, 9108, 20496, 513, 3908, 2179, 540, 5982, 269, 0, 291, 18974, 749, 14339, 337, 6403, 326, 22222, 8776, 637, 454, 294, 13048, 3722, 15445, 10615, 454, 1103, 519, 1482, 1259, 602, 4708, 568, 811, 982, 519, 9000, 540, 2112, 267, 13784, 568, 811, 982, 519, 9000, 540, 17181, 269, 10705, 267, 519, 1523, 540, 13784, 568, 2404, 609, 519, 10137, 540, 2027, 2924, 543, 2027, 1569, 547, 5624, 5892, 28998, 269, 898, 666, 3100, 513, 2048, 1440, 643, 850, 613, 685, 602, 666, 581, 11292, 610, 10645, 563, 1103, 12807, 568, 711, 827, 26587, 1569, 547, 519, 16934, 610, 8589, 2213, 269, 898, 1058, 581, 17618, 6956, 607, 513, 1184, 585, 5698, 267, 8744, 1927, 1114, 5380, 543, 7418, 269, 769, 12807, 3340, 606, 1620, 543, 10343, 602, 16764, 814, 513, 1909, 538, 2679, 938, 2486, 267, 543, 602, 8537, 3157, 1291, 547, 1732, 2164, 269, 898, 568, 827, 9591, 2175, 543, 6127, 602, 5512, 1004, 547, 7119, 267, 3565, 543, 2671, 9021, 563, 763, 960, 540, 717, 13048, 3722, 538, 476, 1001, 280, 9356, 713, 6626, 1620, 540, 13784, 269, 901, 1867, 20502, 930, 540, 519, 7341, 17298, 676, 938, 2818, 782, 936, 519, 1158, 543, 676, 938, 2319, 693, 519, 6820, 10555, 30353, 269, 3509, 540, 891, 2238, 1711, 1007, 5624, 543, 6127, 585, 5698, 609, 824, 11051, 269, 1358, 3895, 519, 3742, 1909, 540, 3540, 2486, 538, 2679, 811, 5150, 543, 12560, 2950, 267, 1863, 689, 4250, 267, 1616, 543, 967, 793, 640, 563, 11742, 543, 942, 1586, 649, 1294, 519, 1482, 1935, 269, 2048, 26773, 3354, 685, 910, 2519, 593, 4108, 267, 7128, 543, 7803, 5126, 3435, 910, 2531, 7149, 1533, 543, 954, 15581, 3354, 989, 31789, 2066, 519, 1158, 269, 1809, 875, 2182, 568, 713, 3354, 2731, 286, 1656, 4171, 3354, 1281, 621, 4196 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 938, 5798, 286, 2107, 875, 649, 666, 1745, 865, 856, 571, 3022, 827, 627, 2718, 1247, 11173, 547, 2972, 3165, 543, 13365, 888, 5649, 4208, 1684, 1284, 16202, 16258, 16639, 286, 1863, 1557, 543, 936, 476, 8660, 267, 1822, 824, 1382, 6054, 269, 4208, 1684, 1284, 16202, 16258, 16639, 286, 907, 1358, 1810, 1405, 1416, 952, 519, 1426, 786, 1118, 873, 3170, 267, 2014, 873, 547, 1831, 15847, 267, 610, 952, 621, 786, 3142, 873, 1022, 824, 19210, 267, 585, 607, 1279, 607, 621, 814, 513, 24886, 8137, 267, 789, 1810, 1405, 2247, 519, 4539, 269, 0, 298, 25632, 4141, 1520, 1176, 25699, 4728, 476, 2537, 267, 476, 1708, 271, 18014, 8018, 11242, 454, 1692, 786, 596, 9251, 707, 1762, 1126, 286, 769, 840, 17469, 532, 707, 1453, 1590, 581, 2687, 547, 741, 10605, 269, 17546, 873, 2687, 547, 741, 4390, 269, 769, 713, 1259, 267, 649, 666, 2057, 873, 689, 1373, 2566, 856, 269, 13262, 666, 771, 762, 741, 1565, 5759, 269, 9737, 519, 6502, 540, 476, 274, 543, 476, 277, 1296, 267, 707, 1126, 568, 5827, 540, 1565, 543, 21716, 811, 1344, 982, 596, 666, 4952, 269, 21992, 1010, 2866, 609, 519, 946, 540, 9251, 3211, 269, 1452, 616, 1360, 3532, 2645, 547, 12954, 707, 1126, 781, 2634, 563, 763, 1966, 585, 3237, 568, 602, 789, 949, 723, 547, 1491, 741, 1453, 856, 540, 9251, 543, 1413, 693, 8925, 269, 1403, 596, 616, 3206, 540, 16069, 960, 547, 3251, 1753, 609, 707, 1453, 267, 596, 666, 1683, 707, 1126, 609, 519, 2596, 1983, 789, 991, 585, 1153, 3054, 269, 1403, 707, 1126, 568, 2469, 547, 581, 9363, 609, 1920, 1247, 596, 979, 856, 547, 960, 267, 789, 666, 948, 1932, 269, 589, 1434, 1305, 540, 7792, 9251, 3211, 666, 948, 4001, 707, 1126, 1018, 789, 991, 585, 1153, 267, 865, 789, 1810, 1405, 1205, 2451, 3297, 563, 763, 1985, 1900, 568, 1565, 547, 2328, 2338, 267, 543, 713, 568, 1141, 6128, 3211, 1831, 3592, 513, 13766, 269, 28791, 596, 723, 1390, 13002, 267, 6266, 540, 22302, 942, 543, 513, 4023, 2179, 540, 9639, 267, 1603, 3211, 786, 948, 596, 4001, 713, 3407, 5578, 547, 707, 1126, 269, 29961, 3562, 1673, 582, 267, 16439, 267, 1739, 519, 3515, 543, 824, 1603, 5751, 786, 948, 707, 1126, 1451, 875, 547, 2328, 2338, 269, 589, 1434, 1305, 540, 3211, 786, 1331, 2259, 9212, 609, 1585, 2409, 547, 948, 707, 1126, 1451, 547, 2328, 2338, 563, 2252, 596, 616, 3168, 585, 7792, 3211, 585, 707, 9251, 1126, 267, 519, 5044, 540, 5079, 666, 581, 513, 2370, 25254, 269, 1411, 949, 1175, 581, 3168, 585, 513, 1906, 3817, 547, 1832, 707, 1126, 13026, 609, 1945, 811, 16268, 982, 2943, 1776, 3368, 5662, 538, 4395, 540, 519, 7641, 267, 610, 596, 949, 1745, 621, 781, 942, 596, 3323, 4543, 707, 1126, 1451, 519, 2596, 1983, 1352, 610, 646, 786, 991, 585, 1153, 269, 21894, 707, 8404, 585, 3168, 585, 3211, 585, 9251, 267, 972, 616, 513, 1906, 2798, 547, 2015, 1354, 596, 6430, 799, 3283, 596, 1616, 563, 7212, 9251, 960, 9248, 616, 2442, 267, 1082, 3237, 899, 519, 13418, 602, 568, 2404, 609, 7792, 9251, 3211, 269, 634, 1152, 1966, 609, 7792, 9251, 3211, 568, 602, 789, 666, 946, 909, 513, 2603, 13504, 267, 2523, 952, 519, 5697, 9251, 3211, 616, 538, 11954, 13504, 269, 1677, 4688, 3054, 2724, 543, 17002, 13504, 267, 596, 949, 1616, 547, 3406, 585, 9251, 3211, 602, 616, 538, 3109, 543, 3043, 563, 7212, 596, 666, 1205, 1863, 3211, 547, 4647, 2228, 267, 621, 568, 2352, 547, 2995, 2436, 596, 723, 4988, 782, 1565, 2127, 538, 519, 9251, 6437, 609, 1367, 3817, 602, 596, 4647, 835, 693, 513, 942, 269, 15026, 3211, 666, 581, 2944, 609, 707, 1126, 950, 621, 568, 10375, 585, 596, 269, 9737, 519, 6502, 540, 476, 274, 543, 476, 276, 789, 786, 991, 707, 948, 267, 607, 789, 3112, 1224, 5528, 267, 855, 2899, 596, 4312, 6045, 1018, 789, 991, 547, 798, 593, 1142, 4976, 267, 596, 666, 4734, 873, 547, 621, 269, 589, 4976, 1058, 711, 1491, 811, 982, 476, 1428, 547, 476, 736, 3764, 547, 2347, 910, 596, 666, 6157, 25837, 602, 538, 2899, 610, 7466, 513, 3018, 269, 0, 2304, 7716, 9088, 543, 19504, 2533, 454, 2304, 7716, 9088, 616, 2027, 7270, 267, 3292, 610, 20073, 687, 540, 519, 11422, 799, 1450, 547, 12404, 1239, 593, 519, 3593, 267, 1010, 4087, 543, 519, 3301, 799, 568, 1305, 593, 922, 2780, 267, 689, 513, 6552, 7746, 563, 268, 7102, 6808, 8429, 998, 519, 26687, 6500, 630, 2889, 15383, 1606, 13996, 264, 786, 723, 922, 7379, 2232, 3079, 540, 519, 2232, 540, 519, 2780, 689, 799, 519, 7662, 729, 13401, 3248, 268, 9521, 519, 19504, 13763, 267, 26687, 9088, 630, 2889, 15383, 1606, 21665, 264, 798, 711, 12398, 1797, 540, 1958, 8327, 532, 540, 1344, 8429, 998, 873, 454, 309, 14149, 630, 29919, 17721, 8416, 264, 568, 513, 2029, 799, 26779, 519, 1303, 27434, 5121, 267, 9136, 543, 3755, 998, 1930, 5121, 547, 799, 972, 568, 1100, 3972, 269, 1924, 19504, 568, 519, 6870, 6885, 540, 5769, 1569, 563, 22873, 6053, 19504, 941, 2813, 547, 1450, 519, 5234, 540, 519, 3549, 547, 960, 2484, 1055, 609, 519, 9746, 13763, 7488, 540, 741, 4087, 269, 1656, 1498, 513, 1297, 540, 519, 3549, 1869, 946, 19504, 585, 713, 2601, 267, 1034, 540, 3755, 946, 971, 2533, 547, 4309, 22637, 593, 519, 5769, 610, 547, 723, 606, 4316, 547, 21271, 10923, 9993, 585, 1569, 547, 519, 1114, 7270, 630, 1721, 1383, 267, 6908, 4483, 540, 1543, 1916, 2691, 519, 3593, 4422, 593, 519, 5769, 1510, 19504, 267, 922, 1686, 540, 3406, 267, 4087, 543, 1344, 593, 1010, 5769, 3028, 8502, 568, 2139, 547, 6994, 23924, 267, 1010, 16108, 543, 22257, 4703, 269, 1635, 543, 1804, 19504, 14014, 2228, 1344, 689, 1569, 547, 621, 5461, 7606, 267, 855, 972, 666, 3006, 581, 20984, 269, 2274, 6545, 666, 4755, 538, 19504, 585, 513, 1297, 540, 4128, 269, 634, 7606, 5461, 538, 8391, 2123, 1344, 666, 946, 519, 3009, 585, 9505, 6658, 540, 19504, 267, 610, 1175, 3006, 513, 1062, 666, 27235, 960, 269, 1879, 1210, 19504, 538, 707, 3232, 5769, 2534, 621, 568, 5227, 547, 2638, 621, 585, 6228, 540, 20984, 5781, 563, 763, 15993, 1063, 519, 2780, 540, 519, 3593, 543, 519, 7746, 609, 606, 8704, 3301, 585, 5137, 540, 513, 5691, 4357, 3060, 568, 2813, 563, 268, 769, 891, 3292, 593, 519, 7746, 543, 519, 2780, 519, 1883, 630, 10139, 5320, 264, 585, 1958, 8327, 532, 270, 5793, 13133, 566, 540, 1239, 568, 6383, 563, 268, 2201, 519, 2780, 519, 7662, 568, 2813, 543, 524, 760, 22363, 1210, 519, 1883, 2813, 4505, 563, 268, 634, 524, 760, 22363, 1239, 616, 11843, 593, 513, 15993, 547, 519, 19504, 7746, 563, 268, 2201, 519, 19504, 7746, 789, 616, 1232, 7973, 539, 543, 972, 568, 22920, 540, 513, 7662, 2443, 11488, 519, 3758, 267, 606, 3403, 585, 519, 3896, 267, 1376, 540, 3028, 563, 268, 19504, 268, 1356, 591, 22316, 519, 2626, 267, 524, 760, 1667, 621, 543, 15920, 1394, 547, 519, 3593, 563, 268, 634, 2780, 540, 519, 3593, 3489, 338, 1239, 543, 1232, 7973, 338, 873, 513, 1883, 799, 729, 6383, 4505, 563, 305, 529, 802, 543, 28842, 7891, 585, 519, 3593, 950, 1210, 26687, 9088, 543, 19504, 2533, 454, 268, 13722, 3432, 540, 5769, 4276, 267, 982, 693, 3339, 4276, 454, 268, 25334, 2225, 540, 4266, 13451, 540, 519, 3593, 630, 8421, 1231, 267, 18538, 267, 4871, 3877, 267, 1239, 540, 6486, 543, 8569, 1949, 264, 693, 519, 4636, 19504, 14764, 543, 849, 950, 8429, 3842, 519, 26687, 6500, 563, 268, 25334, 2225, 540, 3968, 540, 519, 2780, 609, 8290, 630, 10843, 606, 7696, 540, 513, 17351, 3009, 950, 8429, 26687, 9088, 1916, 268, 634, 8502, 945, 2488, 547, 519, 3593, 540, 19504, 3028, 3489, 338, 782, 1344, 593, 3527, 540, 519, 3593, 1282, 1010, 4276, 547, 519, 5769, 454, 15371, 621, 568, 2009, 547, 10238, 527, 946, 540, 19504, 2533, 540, 513, 2582, 8502, 689, 519, 2930, 1448, 540, 2070, 888, 268, 898, 568, 2009, 547, 10646, 6808, 540, 19504, 543, 547, 3625, 621, 267, 855, 519, 7199, 3937, 585, 713, 3483, 568, 2556, 563, 268, 769, 513, 2013, 609, 16389, 543, 14342, 621, 568, 849, 2009, 547, 3970, 1569, 547, 19504, 2533, 593, 834, 1492, 4457, 2203, 257, 2443, 952, 14472, 330, 558, 333, 611, 345, 528, 23216, 827, 606, 9868, 540, 19504, 2533, 540, 15945, 540, 5985, 3156, 454, 2026, 3755, 786, 21271, 519, 1876, 593, 26687, 9088, 543, 19504, 2533, 454, 268, 1703, 568, 513, 2603, 540, 26687, 9088, 543, 2533, 19504, 602, 547, 3625, 782, 891, 2200, 621, 568, 26867, 269, 898, 786, 581, 2141, 2009, 547, 1265, 711, 17808, 4199, 799, 568, 711, 7900, 519, 10421, 540, 713, 1876, 563, 268, 898, 568, 2009, 547, 1711, 1378, 19504, 593, 519, 682, 1078, 4914, 3896, 630, 7945, 3028, 666, 1831, 2442, 2907, 538, 519, 1985, 1906, 1296, 1916, 268, 1403, 11197, 15188, 543, 5616, 10369, 24044, 547, 2285, 606, 4316, 540, 23842, 540, 1346, 3156, 799, 798, 711, 14892, 519, 6044, 540, 713, 1876, 267, 1287, 3755, 786, 2253, 547, 4647, 873, 689, 4244, 2959, 899, 8940, 269, 777, 14790, 597, 2928, 2593, 267, 5291, 2517, 332, 269, 777, 330, 335, 675, 2593, 267, 5291, 2517, 325, 1673, 5514, 3820, 267, 3092, 563, 15650, 540, 19504, 20984, 454, 5825, 619, 2356, 24049, 585, 2533, 540, 19504, 7426, 267, 3206, 602, 3028, 585, 799, 789, 2628, 267, 786, 2149, 741, 2228, 22637, 269, 1809, 1620, 602, 998, 19504, 1344, 13451, 666, 581, 5340, 666, 581, 15265, 543, 23892, 269, 1703, 616, 1614, 2010, 540, 19504, 20984, 799, 666, 4755, 267, 543, 4061, 519, 7872, 540, 741, 8446, 786, 948, 3755, 547, 581, 4712, 547, 9004, 1022, 20984, 799, 789, 666, 3713, 563, 8867, 752, 720, 540, 7379, 454, 763, 7379, 2232, 568, 513, 1899, 689, 519, 2338, 9674, 676, 2798, 799, 568, 12912, 676, 5769, 3028, 8502, 547, 1978, 5904, 610, 5100, 3457, 269, 1879, 596, 979, 593, 519, 7270, 593, 519, 5769, 267, 707, 7379, 2232, 568, 13615, 547, 707, 3406, 267, 804, 2294, 543, 11564, 563, 3086, 972, 616, 1079, 2010, 540, 519, 7379, 9607, 269, 634, 3355, 7014, 568, 1572, 7379, 341, 275, 267, 543, 18960, 910, 7379, 341, 277, 269, 634, 1007, 7014, 568, 2813, 547, 1683, 1256, 811, 7379, 9607, 538, 519, 1158, 269, 2311, 519, 4090, 1082, 7426, 540, 19504, 2533, 1489, 1152, 519, 9607, 538, 7379, 341, 275, 7014, 799, 666, 1291, 547, 13451, 1137, 540, 519, 7379, 2232, 563, 8867, 752, 720, 540, 22665, 454, 763, 6389, 2012, 1062, 610, 22665, 630, 291, 558, 664, 8745, 7010, 264, 17838, 519, 7379, 9607, 883, 15745, 609, 811, 8912, 4408, 540, 11890, 543, 13030, 17930, 269, 901, 1062, 1568, 865, 602, 649, 616, 711, 2838, 547, 3314, 519, 3896, 7379, 2232, 1169, 942, 950, 649, 1616, 547, 3643, 1864, 563, 2691, 596, 979, 593, 519, 15750, 2572, 267, 707, 5665, 1062, 15920, 519, 22665, 13214, 585, 10868, 540, 519, 7379, 2232, 4448, 609, 519, 2838, 6389, 269, 5769, 3028, 7426, 666, 1287, 2328, 1142, 22665, 13214, 799, 23131, 689, 707, 5665, 1062, 602, 1287, 547, 4309, 707, 2143, 1686, 540, 2228, 11564, 269, 4635, 19504, 1142, 22665, 13214, 786, 2097, 689, 519, 7746, 540, 707, 19504, 8502, 267, 855, 711, 689, 519, 7746, 540, 707, 5769, 3028, 8502, 602, 2636, 547, 5150, 707, 2123, 1344, 269, 2274, 752, 720, 540, 22665, 666, 8451, 950, 707, 13668, 585, 14291, 12446, 689, 707, 2123, 22665, 7746, 267, 855, 711, 689, 519, 22665, 7746, 540, 707, 19504, 8502, 269, 2311, 11944, 540, 971, 13451, 707, 1686, 540, 2070, 902, 267, 607, 1134, 607, 707, 7379, 2232, 543, 4087, 540, 707, 5769, 3028, 8502, 7866, 563, 8867, 752, 720, 540, 5680, 305, 12839, 454, 2005, 568, 1360, 3730, 9263, 3562, 24406, 518, 630, 701, 518, 3562, 24406, 518, 264, 2792, 1759, 593, 519, 11422, 267, 855, 3755, 1336, 856, 602, 5680, 305, 12839, 10741, 1978, 16426, 538, 19504, 269, 5381, 20984, 8451, 538, 971, 2442, 26292, 607, 24904, 267, 32288, 2135, 267, 4858, 557, 543, 28709, 269, 4635, 1152, 1896, 3009, 3515, 1022, 3896, 666, 1930, 707, 7379, 2232, 543, 4087, 563, 1692, 547, 803, 547, 1451, 2436, 1250, 19504, 1568, 888, 2467, 568, 513, 1305, 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 ]
[ 1103, 519, 13287, 540, 4824, 4313, 543, 3514, 267, 5100, 14382, 12060, 723, 21959, 1229, 3007, 585, 741, 1761, 547, 3986, 3232, 2713, 269, 1717, 267, 621, 568, 2629, 547, 2708, 519, 1483, 3734, 1967, 2984, 543, 16499, 517, 10118, 4478, 891, 3457, 547, 2744, 513, 3102, 1620, 540, 741, 12117, 563, 19617, 2730, 2043, 945, 723, 11368, 5100, 14382, 12060, 883, 741, 2729, 723, 4080, 2318, 4093, 269, 1280, 3236, 267, 3627, 267, 513, 2539, 18215, 18041, 1393, 324, 267, 6829, 875, 519, 4359, 9300, 2029, 11251, 538, 1010, 14382, 4854, 1850, 13087, 1864, 547, 3802, 811, 6923, 543, 18390, 269, 6684, 267, 8861, 267, 606, 5580, 18215, 18041, 1393, 324, 267, 3838, 1200, 1995, 540, 1210, 513, 5100, 14382, 4854, 6186, 602, 4847, 1200, 547, 1685, 1950, 4247, 609, 2799, 32609, 614, 640, 563, 4322, 1967, 2984, 5031, 875, 5100, 14382, 12060, 666, 7668, 7115, 676, 19620, 10342, 543, 5355, 2949, 2298, 540, 1272, 585, 2043, 609, 18215, 2530, 269, 1635, 13830, 1483, 8996, 2833, 543, 5380, 267, 789, 1683, 3407, 4030, 883, 519, 2640, 543, 7687, 540, 891, 5499, 3457, 563, 13010, 267, 16499, 517, 10118, 689, 3755, 20838, 519, 2956, 540, 1367, 29356, 950, 621, 2501, 547, 8236, 6099, 4313, 543, 3514, 269, 3962, 1268, 779, 2189, 14169, 543, 6197, 7569, 2154, 10531, 11941, 547, 2327, 5021, 10342, 543, 8897, 6361, 14025, 269, 4935, 267, 5571, 1382, 18129, 2832, 547, 13217, 5100, 14382, 12060, 685, 1374, 543, 13916, 2934, 1759, 593, 3593, 5955, 563, 3528, 3695, 1483, 3734, 1967, 2984, 543, 16499, 517, 10118, 2404, 609, 5100, 14382, 12060, 267, 3173, 666, 3136, 14027, 891, 4066, 1247, 5466, 3755, 685, 7287, 585, 1852, 936, 741, 3232, 2729, 563, 763, 8892, 540, 12829, 1160, 560, 12060, 281, 11627, 725, 543, 21992, 906, 454, 4415, 519, 4028, 7760, 538, 2029, 543, 519, 3586, 5397, 585, 5647, 267, 5100, 14382, 12060, 616, 26405, 547, 22499, 519, 2361, 540, 18215, 10682, 267, 5356, 13778, 3255, 585, 2043, 609, 18215, 2530, 269, 634, 2104, 540, 5100, 14382, 12060, 6585, 1390, 9153, 607, 3173, 543, 8030, 3136, 547, 1020, 1007, 10124, 543, 7760, 563, 3080, 1858, 540, 1445, 568, 5355, 10444, 5955, 538, 5100, 14382, 12060, 269, 7351, 7835, 538, 688, 10364, 2029, 2832, 547, 1683, 3755, 609, 513, 811, 2067, 2631, 540, 5905, 267, 3850, 873, 547, 1732, 2170, 609, 741, 1604, 269, 901, 2882, 3384, 8596, 602, 666, 3713, 2604, 267, 2837, 267, 543, 9403, 267, 799, 666, 1287, 581, 10299, 1394, 547, 519, 3593, 998, 513, 8849, 8818, 563, 5194, 3078, 13120, 568, 519, 5610, 540, 3684, 1565, 6620, 883, 5100, 14382, 12060, 269, 1635, 7421, 1239, 689, 8596, 11251, 1369, 519, 14382, 4185, 543, 11287, 3270, 538, 3350, 267, 3684, 1565, 6620, 666, 3082, 519, 10342, 540, 519, 3926, 538, 1483, 6066, 269, 901, 1797, 602, 3755, 786, 723, 513, 811, 16022, 1995, 607, 741, 14382, 4185, 16137, 543, 3082, 338, 547, 741, 1367, 2115, 543, 7375, 563, 13010, 267, 3173, 616, 3695, 2081, 547, 2087, 1648, 4398, 538, 5100, 14382, 12060, 269, 1635, 9001, 17426, 2326, 543, 17306, 1379, 4616, 267, 891, 3457, 786, 1450, 3755, 547, 4497, 538, 2238, 585, 3476, 5712, 1510, 17596, 7928, 556, 12737, 532, 610, 6007, 5372, 906, 563, 14454, 267, 519, 2104, 6585, 10373, 1761, 585, 5100, 14382, 12060, 676, 6220, 5499, 4066, 971, 607, 4824, 10444, 5955, 267, 3684, 1565, 6620, 267, 543, 8476, 1648, 4398, 269, 1452, 7760, 786, 7668, 2043, 609, 18215, 2530, 676, 3246, 873, 609, 3152, 1852, 936, 741, 3232, 2729, 563, 1103, 3932, 267, 5100, 14382, 12060, 723, 19117, 519, 2729, 540, 2043, 609, 18215, 2530, 267, 16779, 873, 609, 7115, 543, 5355, 741, 3232, 2713, 563, 7437, 4359, 9300, 2029, 267, 16022, 1852, 267, 543, 3350, 7020, 267, 891, 14382, 4854, 17873, 5702, 17932, 2067, 1599, 267, 3246, 8476, 10688, 543, 10333, 563, 763, 4797, 10124, 543, 7760, 538, 713, 2361, 3180, 1390, 9153, 585, 519, 2104, 267, 5356, 1256, 3152, 4313, 267, 3514, 267, 543, 10342, 563, 10702, 1382, 568, 2877, 547, 4628, 8495, 519, 5168, 540, 6436, 4478, 5100, 14382, 12060, 543, 547, 12260, 741, 2407, 1761, 538, 13321, 519, 2729, 540, 1346, 945, 7048, 593, 873, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 700, 3578, 571, 267, 715, 1421, 21502, 320, 267, 589, 1421, 9540, 267, 667, 1421, 2353, 731, 267, 623, 1421, 1299, 2274, 1324, 8725, 267, 918, 269, 630, 1220, 276, 1040, 595, 4381, 538, 519, 4880, 281, 634, 8177, 540, 10684, 24727, 593, 6468, 543, 19198, 269, 8028, 299, 308, 269, 8158, 689, 5291, 2517, 4178, 28482, 1663, 3820, 11721, 3796, 270, 30502, 270, 817, 564, 318, 340, 22744, 18316, 32542, 318, 20720, 1724, 15005, 22118, 577, 267, 631, 269, 630, 1001, 273, 1040, 634, 528, 1944, 519, 10020, 540, 519, 2048, 23219, 593, 24391, 685, 538, 2475, 15722, 7321, 269, 11933, 3749, 595, 3234, 11659, 267, 476, 1626, 263, 273, 1070, 476, 11260, 268, 1960, 269, 8222, 281, 1015, 269, 14056, 278, 270, 15793, 27886, 6187, 272, 28192, 10204, 271, 2817, 4741, 585, 2657, 10803, 269, 630, 1001, 273, 1040, 2657, 267, 2136, 2276, 267, 476, 1001, 272, 281, 2060, 7981, 3171, 1155, 593, 17502, 1470, 11296, 21073, 543, 2657, 269, 5754, 30476, 6807, 267, 15930, 269, 6583, 269, 700, 269, 3143, 269, 476, 11025, 268, 14838, 267, 669, 269, 476, 26116, 267, 476, 4792, 6465, 269, 476, 278, 6858, 267, 4735, 4705, 476, 3192, 271, 1234, 18255, 638, 626, 267, 654, 269, 630, 1220, 276, 1040, 1548, 519, 20226, 17166, 269, 8158, 689, 5291, 2517, 4178, 8807, 2459, 3820, 270, 1975, 328, 612, 267, 631, 269, 1299, 674, 9994, 267, 667, 269, 630, 1220, 271, 1040, 10396, 291, 9573, 281, 10684, 8889, 6176, 7581, 2130, 5600, 269, 5517, 16847, 269, 6115, 281, 9823, 269, 10684, 8889, 6176, 7581, 2130, 5600, 269, 772, 2529, 269, 4790, 269, 18985, 269, 2473, 309, 7656, 267, 4735, 4705, 476, 4350, 274, 0, 1607, 568, 606, 796, 5306, 1229, 1383, 540, 606, 2038, 476, 5002, 271, 338, 678, 633, 339, 268, 8588, 533, 3415, 959, 1380, 8115, 269, 901, 8115, 1131, 723, 25855, 609, 607, 1082, 2694, 6300, 678, 633, 1540, 607, 2009, 269, 634, 13980, 540, 519, 4296, 602, 1185, 547, 581, 19632, 543, 4448, 538, 519, 2361, 593, 519, 8115, 2965, 1031, 31211, 3079, 540, 678, 633, 1206, 267, 547, 2057, 519, 991, 547, 2361, 678, 633, 339, 563, 763, 19866, 15167, 22802, 7058, 525, 602, 713, 8115, 1522, 723, 1044, 3710, 676, 519, 17857, 4975, 15167, 7577, 267, 855, 621, 568, 15458, 1018, 10058, 3877, 593, 713, 8115, 3366, 873, 547, 602, 27421, 563, 24314, 1315, 9509, 12025, 16071, 454, 24820, 4015, 540, 7650, 543, 1469, 6337, 269, 901, 19922, 3091, 6337, 538, 519, 5207, 2139, 6571, 543, 3758, 2450, 538, 513, 5905, 7888, 1402, 1575, 21951, 269, 17968, 267, 25873, 9453, 4635, 7348, 518, 2008, 300, 9394, 19630, 1242, 16071, 454, 24820, 4015, 540, 7650, 543, 1469, 6337, 269, 901, 19922, 2934, 1239, 7888, 267, 3728, 2000, 1933, 532, 6337, 538, 513, 5905, 7888, 1402, 1575, 21951, 269, 17968, 267, 25873, 9453, 4635, 7348, 518, 2008, 10870, 24002, 630, 23272, 3363, 267, 7043, 3363, 2187, 8698, 15167, 19715, 769, 912, 15100, 14645, 476, 1220, 274, 268, 1708, 273, 267, 19866, 289, 5090, 2471, 3820, 269, 2353, 7126, 27616, 269, 2598, 25068, 281, 19866, 289, 5090, 2471, 3820, 568, 513, 15321, 1895, 540, 4357, 4961, 269, 19866, 289, 5090, 2471, 3820, 568, 10691, 513, 2229, 8116, 267, 1281, 711, 2099, 610, 960, 609, 1022, 22257, 8041, 267, 6862, 568, 621, 538, 1022, 1259, 2404, 609, 1022, 2229, 8116, 610, 1022, 1875, 17416, 3919, 269, 2755, 649, 11441, 585, 6111, 538, 938, 23610, 1543, 267, 19866, 289, 5090, 2471, 3820, 3091, 1100, 10018, 540, 6111, 269, 6176, 568, 3177, 834, 553, 568, 257, 1510, 15549, 344, 540, 1022, 2186, 267, 2901, 6829, 610, 22466, 269, 6176, 1223, 1331, 2930, 538, 3147, 340, 20874, 610, 6959, 540, 522, 3939, 269, 25709, 687, 543, 16555, 616, 519, 8369, 540, 519, 9757, 19866, 289, 5090, 2471, 3820, 4759, 945, 1500, 873, 543, 798, 711, 8209, 2099, 519, 5784, 540, 4896, 3116, 267, 1519, 1022, 3544, 21706, 4171, 2592, 949, 2408, 593, 519, 2985, 538, 799, 519, 16555, 5526, 269, 19866, 289, 5090, 2471, 3820, 1281, 711, 7703, 1022, 5539, 585, 1022, 4539, 4611, 689, 519, 946, 540, 713, 610, 1022, 824, 19866, 289, 5090, 2471, 3820, 1344, 269, 13574, 619, 543, 3755, 540, 13123, 723, 519, 5539, 540, 7157, 1739, 782, 10858, 4031, 267, 3652, 267, 543, 6042, 267, 7488, 540, 1022, 19866, 289, 5090, 2471, 3820, 1344, 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 ]
[ 267, 6345, 303, 19991, 267, 6345, 994, 3546, 2132, 6936, 476, 1948, 4570, 1847, 780, 825, 1219, 1039, 7272, 19991, 4311, 267, 4737, 267, 897, 267, 533, 2187, 1038, 2132, 1582, 269, 3250, 338, 314, 992, 6012, 3712, 4940, 26303, 9638, 2020, 825, 1219, 1847, 7272, 19991, 4311, 267, 1976, 8624, 267, 1976, 305, 578, 267, 897, 267, 4737, 267, 533, 2187, 1038, 1780, 19638, 692, 825, 1219, 2638, 310, 27903, 4311, 267, 1775, 267, 795, 267, 6345, 12328, 267, 6345, 17107, 1038, 952, 630, 1345, 269, 13765, 295, 528, 714, 7267, 9217, 267, 795, 267, 6345, 12328, 15892, 2018, 6345, 269, 7773, 1805, 9850, 815, 6936, 692, 1038, 952, 630, 1345, 269, 13765, 309, 1068, 673, 9217, 267, 795, 267, 6345, 12328, 15892, 2018, 6345, 269, 7773, 1805, 9850, 815, 6936, 692, 1038, 952, 630, 1345, 269, 13765, 13312, 21192, 9217, 267, 795, 267, 6345, 12328, 15892, 2018, 6345, 269, 7773, 1805, 9850, 815, 6936, 692, 825, 1219, 2638, 295, 528, 714, 7267, 4311, 267, 1775, 267, 795, 267, 6345, 303, 19991, 2187, 1038, 1948, 476, 272, 476, 21222, 7267, 2451, 476, 274, 563, 1038, 952, 630, 329, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 910, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 910, 476, 274, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 692, 1038, 1948, 476, 273, 476, 21222, 7267, 1318, 476, 274, 563, 1038, 952, 630, 1345, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 1341, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 1341, 476, 274, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 692, 1038, 1948, 476, 274, 476, 21222, 7267, 2451, 476, 272, 1318, 476, 273, 454, 1038, 952, 630, 329, 3436, 476, 271, 543, 1582, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 273, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 1341, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 454, 1038, 1948, 476, 275, 476, 21222, 7267, 2451, 476, 273, 1318, 476, 272, 454, 1038, 952, 630, 329, 13843, 476, 273, 543, 1582, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 272, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 910, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 692, 1038, 2132, 8771, 692, 825, 1219, 2638, 309, 1068, 673, 4311, 267, 1775, 267, 795, 267, 6345, 303, 19991, 2187, 1038, 1948, 476, 272, 26432, 1524, 476, 274, 563, 1038, 952, 630, 1345, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 1341, 476, 273, 6012, 329, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 476, 1582, 269, 3250, 338, 5157, 1341, 476, 274, 6012, 329, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 2638, 13312, 21192, 4311, 267, 1775, 267, 795, 267, 6345, 303, 19991, 2187, 1038, 1948, 476, 272, 476, 4144, 21192, 909, 476, 274, 269, 567, 2944, 563, 1038, 952, 630, 328, 13843, 476, 274, 543, 1582, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 910, 476, 272, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 273, 6012, 329, 1341, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 476, 1582, 269, 3250, 338, 5157, 910, 476, 274, 6012, 329, 1341, 476, 274, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 3689, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 308, 3899, 9406, 2020, 1038, 952, 630, 329, 13843, 476, 274, 543, 1775, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 910, 476, 272, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 273, 6012, 329, 910, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 274, 6012, 329, 910, 476, 274, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 5822, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 308, 3899, 19382, 2020, 1038, 1948, 476, 273, 476, 4144, 21192, 1524, 476, 274, 269, 567, 2944, 563, 1038, 952, 630, 1345, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 274, 543, 795, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 1341, 476, 273, 6012, 329, 910, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 476, 1582, 269, 3250, 338, 5157, 1341, 476, 274, 6012, 329, 910, 476, 274, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 12059, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 299, 1077, 2451, 2020, 1038, 952, 630, 1345, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 274, 543, 1582, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 274, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 1341, 476, 273, 6012, 329, 1341, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 1341, 476, 274, 6012, 329, 1341, 476, 274, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 19549, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 299, 1077, 1318, 2020, 1038, 1948, 476, 274, 476, 4144, 21192, 1524, 476, 272, 543, 909, 476, 273, 567, 2944, 454, 1038, 952, 630, 328, 13843, 476, 273, 543, 1582, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 273, 543, 1582, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 272, 543, 795, 13843, 476, 272, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 272, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 273, 6012, 329, 1341, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 476, 272, 543, 476, 274, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 308, 3899, 9406, 543, 2539, 2451, 2020, 1038, 952, 630, 1345, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 272, 543, 1582, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 272, 543, 1775, 13843, 476, 273, 543, 795, 13843, 476, 273, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 272, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 476, 1582, 269, 3250, 338, 5157, 910, 476, 273, 6012, 329, 910, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 476, 273, 543, 476, 275, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 308, 3899, 19382, 543, 2539, 1318, 2020, 1038, 1948, 476, 275, 476, 4144, 21192, 1524, 476, 273, 543, 909, 476, 272, 476, 2944, 454, 1038, 952, 630, 328, 13843, 476, 272, 543, 1582, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 272, 543, 1582, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 273, 543, 795, 13843, 476, 273, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 1341, 476, 273, 6012, 329, 910, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 910, 476, 272, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 476, 272, 543, 476, 274, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 308, 3899, 9406, 543, 2539, 2451, 2020, 1038, 952, 630, 328, 13843, 476, 272, 543, 795, 13843, 476, 272, 543, 1582, 31815, 338, 910, 476, 272, 910, 795, 13843, 476, 273, 543, 1582, 269, 4900, 910, 476, 272, 910, 1775, 13843, 476, 273, 2187, 2018, 952, 1582, 269, 3250, 338, 5157, 1341, 476, 272, 6012, 329, 1341, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 1582, 269, 3250, 338, 5157, 1341, 476, 273, 6012, 329, 1341, 476, 273, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 543, 476, 1582, 269, 3250, 338, 5157, 910, 476, 272, 6012, 329, 910, 476, 272, 4940, 12328, 269, 4134, 335, 2652, 6345, 303, 19991, 912, 3546, 2132, 6936, 476, 1948, 6744, 539, 585, 476, 273, 543, 476, 275, 21408, 656, 540, 8641, 538, 476, 273, 323, 5119, 630, 308, 3899, 19382, 543, 2539, 1318, 2020, 1038, 2132, 8771, 19638, 692, 7531, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 9484, 476, 1839, 476, 1240, 281, 1015, 281, 4343, 476, 1001, 279, 692, 287, 10461, 281, 3141, 2041, 600, 454, 20701, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 7531, 258, 1239, 7738, 692, 258, 1224, 519, 546, 1846, 564, 454, 4206, 815, 19073, 18667, 32269, 3488, 270, 24610, 270, 6390, 714, 523, 18025, 3155, 2978, 7933, 21648, 564, 270, 2004, 318, 9359, 5725, 27406, 5073, 4206, 13448, 815, 17093, 269, 559, 665, 18020, 271, 281, 275, 4940, 11161, 454, 4206, 14729, 815, 17093, 269, 559, 665, 18020, 275, 4940, 11161, 454, 258, 4894, 19364, 2418, 692, 258, 28547, 547, 1552, 748, 692, 258, 1039, 1007, 9587, 692, 258, 4894, 9587, 454, 4206, 13448, 284, 17093, 13448, 18020, 271, 281, 274, 6540, 258, 8237, 519, 1239, 883, 5721, 543, 1449, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 343, 17601, 21726, 15305, 11971, 17601, 11971, 15305, 815, 30221, 15305, 5334, 5902, 29254, 13448, 267, 4206, 14729, 25722, 1778, 15481, 284, 271, 269, 279, 264, 3097, 258, 1685, 519, 7954, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 454, 2958, 31395, 815, 12430, 8802, 1833, 4590, 2958, 31395, 815, 1036, 31395, 32265, 3287, 17601, 11971, 17601, 994, 335, 1042, 2109, 815, 1036, 31395, 4877, 9438, 3287, 15305, 994, 2745, 9638, 1042, 2109, 994, 258, 8532, 519, 1267, 692, 258, 14650, 519, 1267, 454, 10823, 19502, 3287, 815, 1535, 17601, 18020, 476, 271, 3910, 586, 815, 586, 17601, 994, 10823, 31892, 2660, 3287, 815, 1535, 17601, 18020, 476, 271, 3910, 586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12408, 267, 649, 1616, 547, 581, 3483, 995, 827, 3450, 2994, 602, 1628, 1055, 540, 519, 1053, 685, 10203, 1646, 269, 1284, 1616, 1053, 547, 2731, 1174, 1946, 649, 1039, 543, 10208, 543, 547, 1451, 1114, 2994, 585, 6061, 2042, 865, 1053, 666, 1265, 513, 4640, 602, 1568, 1655, 585, 873, 543, 786, 1489, 873, 538, 741, 22638, 1249, 21711, 780, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 258, 476, 21497, 14530, 630, 15893, 2020, 21497, 267, 14530, 630, 18314, 4627, 19939, 8536, 835, 4627, 13977, 14633, 264, 568, 606, 9642, 3670, 1673, 580, 1080, 12432, 1297, 1739, 476, 21497, 9873, 543, 18631, 476, 21497, 15171, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 273, 269, 14681, 4029, 6398, 476, 10755, 269, 634, 2040, 540, 922, 9704, 568, 476, 1724, 269, 898, 814, 513, 2698, 540, 476, 274, 6305, 2188, 543, 476, 279, 2318, 16975, 269, 1703, 616, 476, 8687, 267, 24496, 2318, 9981, 630, 1575, 547, 476, 21497, 14530, 264, 602, 616, 5266, 6305, 547, 476, 21497, 14530, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 277, 454, 1892, 5681, 540, 6226, 1080, 476, 1724, 454, 1892, 7913, 17848, 476, 275, 692, 1012, 8745, 692, 14112, 2012, 476, 21497, 8536, 476, 14530, 1079, 4627, 19939, 8536, 835, 4627, 13977, 14633, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 273, 269, 14681, 4029, 6398, 476, 10755, 476, 21497, 269, 14530, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 21497, 14530, 692, 28269, 16748, 1436, 476, 278, 6398, 476, 10463, 6398, 476, 275, 2641, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 274, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 274, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 21497, 14530, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 910, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 21497, 267, 14530, 568, 476, 278, 6398, 476, 10463, 6398, 476, 275, 2641, 269, 4595, 621, 814, 513, 2698, 540, 476, 274, 6305, 2188, 267, 476, 21497, 267, 14530, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 21497, 14530, 692, 279, 16975, 692, 4634, 16975, 476, 271, 476, 279, 476, 275, 476, 275, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 279, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 27149, 279, 2190, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 31798, 11152, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 24374, 2764, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 5379, 274, 269, 279, 2420, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 277, 269, 6434, 280, 6860, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 21497, 267, 14530, 666, 581, 5258, 676, 476, 279, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 279, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 21497, 267, 14530, 264, 568, 476, 27149, 267, 279, 2190, 267, 519, 3328, 568, 476, 4029, 267, 25248, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 21497, 14530, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 8687, 24496, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 21857, 271, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 4489, 6858, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 8687, 267, 24496, 2318, 9981, 630, 1652, 982, 476, 21497, 267, 14530, 264, 602, 616, 2941, 31870, 609, 476, 21497, 267, 14530, 269, 1656, 972, 616, 5111, 476, 866, 267, 15757, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 21497, 267, 14530, 780, 1012, 6555, 529, 2225, 540, 476, 21497, 14530, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 272, 476, 274, 476, 272, 476, 272, 476, 271, 476, 274, 476, 275, 692, 763, 1297, 476, 21497, 267, 14530, 568, 16883, 676, 476, 278, 780, 1012, 19032, 540, 476, 21497, 14530, 692, 1892, 25226, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1892, 12384, 5131, 692, 2162, 4033, 2338, 692, 1892, 12359, 553, 290, 1301, 19376, 454, 1892, 1975, 1156, 545, 692, 1012, 12476, 7503, 630, 21497, 14530, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 8099, 1911, 1911, 9826, 18733, 18733, 454, 274, 570, 1716, 776, 476, 6200, 21854, 16573, 21076, 454, 275, 2372, 15715, 776, 476, 20542, 1001, 11277, 454, 276, 2372, 2435, 476, 22001, 25148, 1556, 454, 277, 7354, 776, 476, 275, 3451, 27898, 272, 454, 279, 4239, 531, 476, 277, 4510, 15836, 454, 1015, 27252, 476, 21497, 14530, 454, 1321, 13660, 1712, 31565, 513, 3393, 321, 278, 454, 736, 966, 580, 525, 2711, 476, 1626, 327, 326, 321, 454, 3607, 12476, 3607, 476, 275, 331, 345, 341, 692, 1012, 9978, 9273, 630, 333, 815, 476, 21497, 14530, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 25396, 26783, 476, 277, 3393, 4375, 274, 476, 279, 2568, 276, 2190, 476, 13040, 276, 4792, 276, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 13040, 276, 5780, 476, 278, 1704, 1015, 269, 274, 476, 276, 4391, 11025, 269, 279, 476, 25396, 2918, 269, 273, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 5379, 273, 279, 1724, 5325, 272, 8618, 476, 4200, 276, 277, 4649, 27149, 2568, 280, 29616, 272, 476, 20969, 3422, 29616, 2004, 274, 10384, 22550, 4200, 273, 272, 476, 29121, 26764, 5780, 273, 6795, 279, 28147, 24496, 278, 4510, 276, 5038, 4792, 272, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 5379, 274, 269, 279, 2420, 476, 6795, 269, 280, 866, 275, 476, 2641, 269, 276, 3607, 276, 476, 1556, 269, 277, 4649, 279, 692, 1012, 476, 21497, 14530, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 25396, 26783, 476, 272, 269, 31620, 10170, 324, 266, 6187, 476, 272, 269, 28526, 9032, 324, 266, 1556, 692, 2162, 1975, 1877, 692, 11730, 476, 275, 269, 10204, 6795, 324, 266, 1626, 476, 276, 269, 279, 1428, 8660, 324, 266, 1556, 476, 272, 269, 31620, 10170, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 279, 2568, 276, 2190, 476, 275, 269, 277, 2764, 1724, 324, 266, 1015, 476, 19054, 25240, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 273, 269, 6507, 277, 6434, 324, 266, 1556, 476, 280, 269, 4817, 277, 4649, 324, 266, 1428, 476, 4391, 273, 277, 1240, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 277, 3393, 4375, 274, 476, 273, 269, 21916, 6860, 324, 266, 1015, 476, 5908, 29616, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 279, 269, 28318, 1626, 324, 266, 1015, 476, 272, 269, 15876, 4375, 324, 266, 1428, 476, 11260, 4792, 275, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 279, 320, 280, 21967, 10019, 1030, 321, 14341, 32180, 324, 11152, 2378, 5325, 321, 278, 325, 26493, 280, 320, 476, 14093, 325, 659, 4905, 323, 271, 4206, 280, 4375, 278, 325, 279, 4281, 279, 324, 4200, 320, 280, 323, 271, 320, 32699, 320, 10170, 321, 5417, 275, 476, 4649, 279, 279, 323, 2767, 9346, 278, 1789, 2420, 324, 14695, 280, 320, 5038, 2465, 6860, 322, 25900, 18605, 280, 325, 280, 25900, 276, 576, 4391, 280, 276, 322, 275, 4343, 280, 2420, 325, 1911, 2190, 321, 323, 2641, 320, 273, 325, 536, 4489, 275, 17304, 280, 323, 6924, 272, 278, 324, 279, 4391, 321, 280, 323, 280, 736, 9536, 273, 9346, 320, 4792, 279, 323, 8660, 324, 21857, 276, 2764, 280, 1428, 3445, 280, 321, 3953, 320, 277, 4792, 7597, 273, 325, 274, 325, 9818, 26501, 280, 320, 278, 4343, 1724, 323, 278, 5392, 2041, 321, 277, 321, 280, 1321, 31982, 2378, 323, 271, 320, 279, 2190, 275, 764, 539, 1815, 278, 2767, 277, 2801, 278, 321, 279, 321, 323, 25616, 273, 320, 280, 321, 15886, 279, 1556, 279, 476, 279, 323, 25546, 322, 276, 325, 276, 321, 276, 323, 9262, 320, 273, 539, 28510, 277, 325, 14028, 325, 6858, 280, 279, 321, 5400, 7251, 4649, 26501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2291, 523, 544, 18863, 617, 657, 1965, 2133, 525, 6446, 694, 735, 677, 534, 586, 694, 533, 4240, 523, 561, 4594, 541, 632, 1106, 320, 1253, 842, 320, 454, 258, 547, 323, 657, 17485, 544, 18863, 617, 657, 6446, 1309, 523, 679, 1609, 320, 11008, 17144, 512, 1329, 523, 19448, 1286, 1461, 6403, 560, 3821, 679, 635, 14243, 333, 454, 258, 547, 323, 657, 3227, 773, 345, 534, 586, 2165, 514, 523, 598, 26242, 257, 630, 323, 984, 548, 1368, 542, 536, 26953, 994, 16482, 258, 796, 552, 329, 6374, 334, 632, 1609, 320, 11008, 17144, 1965, 1714, 544, 18863, 29081, 834, 24554, 528, 257, 6449, 8181, 1029, 454, 16482, 258, 3288, 25650, 17144, 632, 1609, 657, 544, 18863, 617, 657, 1609, 17505, 882, 30685, 15606, 513, 796, 1766, 11456, 454, 5035, 7151, 12218, 1384, 825, 1948, 544, 18863, 29081, 4020, 528, 632, 3288, 804, 848, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 8542, 636, 3266, 815, 476, 279, 692, 825, 1948, 17485, 544, 18863, 617, 657, 1965, 2133, 525, 512, 1329, 523, 2822, 5866, 3288, 18085, 21059, 632, 1612, 5451, 5471, 4592, 6446, 3181, 523, 632, 513, 1061, 541, 454, 825, 1948, 620, 8247, 541, 2822, 20071, 657, 1714, 9517, 292, 562, 657, 32318, 19085, 513, 10081, 1264, 30198, 2953, 3512, 324, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 30492, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 1341, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 20620, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 910, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 27661, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 2608, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 1315, 454, 825, 1219, 6449, 339, 29471, 643, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 1315, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 2652, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 2652, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 28825, 825, 1219, 6449, 25885, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 3436, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 721, 541, 1714, 1766, 11456, 476, 13843, 454, 825, 1219, 6449, 613, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 8542, 636, 3266, 13843, 824, 692, 825, 1948, 544, 18863, 29081, 6446, 694, 561, 4594, 320, 620, 6460, 597, 1714, 3611, 334, 679, 796, 5569, 630, 652, 334, 3138, 688, 576, 3288, 1187, 857, 11252, 1820, 994, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 14741, 1003, 3266, 1965, 281, 2715, 1345, 8542, 636, 3266, 348, 5016, 825, 1948, 586, 1454, 657, 11792, 267, 796, 334, 16948, 524, 3385, 1766, 11456, 586, 512, 3711, 328, 26408, 5493, 629, 6652, 804, 2314, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1073, 329, 815, 7151, 12218, 4590, 825, 15254, 815, 1073, 329, 1341, 476, 273, 454, 825, 1820, 263, 12534, 994, 825, 1820, 263, 28128, 994, 0, 258, 15255, 804, 1162, 740, 655, 553, 632, 693, 1026, 583, 657, 512, 1329, 523, 544, 18863, 617, 657, 454, 258, 17485, 544, 18863, 617, 657, 5067, 30775, 542, 525, 6446, 1609, 17505, 14270, 27885, 513, 17485, 3611, 657, 632, 3288, 804, 848, 586, 270, 334, 1714, 1073, 329, 16587, 454, 258, 17485, 544, 18863, 617, 657, 694, 2822, 523, 28075, 783, 6446, 15255, 30775, 542, 525, 267, 21088, 18720, 13121, 7873, 20601, 525, 454, 258, 476, 272, 11607, 3181, 523, 1609, 541, 3616, 541, 15606, 7202, 549, 476, 632, 19448, 804, 848, 454, 258, 476, 273, 11607, 647, 29194, 1612, 5451, 5471, 549, 632, 2041, 1583, 1412, 1345, 7055, 258, 17485, 544, 18863, 617, 657, 533, 4240, 523, 4557, 518, 11792, 1612, 5451, 5471, 4592, 267, 829, 334, 1609, 657, 15764, 337, 17505, 16339, 340, 15530, 632, 1412, 1345, 7055, 258, 17485, 544, 18863, 617, 657, 533, 4240, 523, 1036, 637, 541, 3611, 657, 522, 1100, 692, 5035, 7151, 12218, 1384, 825, 1948, 1609, 324, 1965, 796, 544, 18863, 29081, 1965, 2133, 454, 825, 1948, 561, 4594, 5964, 3678, 5451, 6776, 3512, 324, 16339, 340, 15530, 632, 3288, 1212, 24265, 632, 796, 1073, 329, 16587, 16948, 538, 2772, 714, 541, 3997, 693, 1026, 583, 657, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 3430, 25572, 272, 815, 834, 333, 558, 3691, 1642, 1073, 329, 16587, 4840, 1038, 1582, 269, 3430, 25572, 273, 815, 476, 274, 454, 1038, 1582, 269, 3430, 25572, 274, 815, 31460, 1038, 711, 318, 534, 318, 3430, 25572, 815, 476, 277, 269, 272, 454, 1038, 1582, 269, 3430, 25572, 275, 815, 711, 318, 534, 318, 3430, 25572, 1341, 476, 276, 692, 825, 1948, 544, 18863, 29081, 598, 3611, 657, 632, 1427, 1941, 334, 454, 825, 1219, 1592, 318, 3430, 1026, 2373, 4311, 2187, 1038, 2132, 1582, 269, 3430, 25572, 272, 267, 1582, 269, 3430, 25572, 273, 267, 1582, 269, 3430, 25572, 274, 267, 1582, 269, 3430, 25572, 275, 692, 825, 1948, 544, 18863, 29081, 598, 4661, 657, 454, 825, 1219, 27261, 318, 718, 5332, 13246, 4311, 267, 2179, 2187, 1038, 1582, 269, 3430, 25572, 273, 6834, 2179, 454, 1038, 1582, 269, 3430, 25572, 275, 6834, 2179, 7531, 258, 16948, 561, 4594, 541, 796, 544, 18863, 29081, 694, 1128, 4545, 807, 796, 1073, 329, 16587, 2215, 3266, 454, 258, 16339, 340, 15530, 694, 533, 4240, 523, 561, 4594, 541, 17485, 544, 18863, 617, 657, 2822, 573, 657, 721, 18372, 1714, 1412, 25692, 2908, 318, 15953, 815, 7151, 12218, 4590, 14654, 921, 15058, 318, 3430, 1026, 2373, 815, 1007, 318, 15953, 269, 4289, 318, 3430, 1026, 2373, 4590, 258, 23313, 1714, 544, 18863, 29081, 535, 826, 3616, 541, 5964, 598, 3473, 14243, 333, 4661, 334, 267, 694, 632, 2041, 32488, 541, 1609, 324, 512, 3711, 328, 26408, 679, 3288, 561, 4594, 3385, 454, 2908, 318, 15953, 23357, 920, 618, 318, 718, 5332, 13246, 263, 276, 994, 0, 2745, 2891, 342, 4372, 547, 519, 2769, 1062, 15419, 7076, 815, 703, 9272, 2891, 921, 848, 4283, 2597, 24097, 333, 27363, 11133, 815, 3403, 2891, 921, 848, 4283, 2199, 1297, 263, 4905, 269, 1278, 338, 282, 6349, 6155, 29330, 753, 26907, 270, 940, 19333, 270, 336, 532, 327, 2967, 10774, 664, 534, 282, 6734, 11859, 514, 10202, 836, 24474, 714, 836, 282, 6860, 3052, 18553, 582, 2967, 270, 7666, 578, 2967, 2567, 315, 333, 15419, 23748, 815, 476, 271, 692, 604, 2597, 13843, 476, 274, 912, 825, 952, 1003, 2652, 1412, 4905, 12466, 1038, 3902, 815, 476, 1015, 266, 276, 16732, 7076, 268, 274, 994, 825, 8640, 1003, 2652, 1412, 6349, 12466, 1038, 3902, 815, 476, 1321, 266, 1015, 16732, 7076, 268, 274, 994, 825, 8640, 1003, 2652, 1412, 6734, 12466, 1038, 3902, 815, 476, 736, 266, 736, 16732, 7076, 268, 274, 994, 825, 8640, 1003, 2652, 1412, 6860, 12466, 1038, 3902, 815, 834, 19587, 4840, 1038, 1820, 2891, 921, 848, 598, 6339, 2754, 5602, 825, 3116, 912, 1038, 1820, 3488, 10938, 4636, 5073, 672, 692, 19197, 2597, 2999, 476, 274, 543, 2597, 3436, 476, 271, 912, 825, 952, 1003, 2652, 1412, 4905, 12466, 1038, 3902, 815, 476, 1015, 454, 825, 8640, 1003, 2652, 1412, 6349, 12466, 1038, 3902, 815, 476, 1321, 454, 825, 8640, 1003, 2652, 1412, 6734, 12466, 1038, 3902, 815, 476, 736, 454, 825, 8640, 1003, 2652, 1412, 6860, 12466, 1038, 3902, 815, 834, 19587, 4840, 1038, 1820, 2891, 5591, 13875, 7608, 269, 1775, 6415, 20994, 5602, 825, 3116, 912, 1038, 1820, 3488, 10938, 4636, 17210, 12828, 912, 825, 1820, 3488, 10938, 4636, 17210, 2745, 2891, 7312, 10189, 3902, 568, 834, 2073, 23748, 267, 1412, 344, 10224, 17210, 0, 3698, 568, 5091, 601, 6116, 3287, 11971, 2187, 825, 2132, 1535, 4939, 586, 2652, 476, 271, 692, 604, 568, 5091, 601, 6116, 263, 276, 267, 273, 264, 2652, 8771, 912, 825, 1820, 3488, 343, 16883, 586, 5073, 0, 258, 322, 6847, 281, 8629, 15129, 5752, 267, 1032, 476, 273, 267, 19496, 476, 272, 454, 258, 659, 27854, 1032, 281, 476, 1001, 280, 736, 454, 258, 10461, 281, 645, 269, 5576, 14535, 6261, 3559, 534, 454, 258, 11845, 281, 476, 3066, 268, 6021, 268, 1001, 280, 454, 258, 335, 17123, 281, 6997, 476, 273, 692, 5035, 9537, 318, 663, 318, 18360, 902, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 1404, 318, 5976, 23919, 902, 4311, 2187, 1038, 1948, 2324, 609, 12673, 454, 1038, 5048, 815, 3403, 2891, 11767, 707, 10902, 281, 19515, 1038, 1820, 2891, 23192, 9411, 281, 834, 266, 5048, 2020, 1038, 1948, 1820, 1152, 1101, 543, 2063, 540, 519, 4845, 454, 1038, 1820, 9852, 20687, 314, 271, 316, 1341, 1412, 1412, 1341, 5048, 314, 6352, 9852, 20687, 9984, 272, 20285, 1038, 1948, 946, 20105, 10035, 454, 1038, 1820, 9852, 20687, 314, 271, 281, 7003, 9852, 20687, 13580, 2020, 1038, 1948, 29400, 513, 1915, 454, 1038, 1820, 9852, 20687, 314, 271, 281, 274, 27994, 332, 20687, 314, 275, 281, 6352, 9852, 20687, 13580, 2020, 1038, 1948, 1265, 782, 513, 781, 538, 519, 3403, 2262, 543, 1293, 875, 1082, 972, 616, 454, 1038, 1820, 9852, 20687, 29644, 2891, 320, 781, 2580, 476, 271, 267, 7003, 9852, 20687, 4297, 2020, 1038, 1948, 5372, 782, 1624, 675, 2325, 540, 519, 1915, 513, 609, 519, 910, 1129, 454, 1038, 1948, 2119, 713, 1101, 676, 7084, 540, 513, 4087, 538, 513, 5569, 543, 454, 1038, 1948, 7747, 1018, 4523, 267, 1287, 946, 5372, 4590, 1038, 1820, 9852, 20687, 18622, 2897, 3488, 320, 3299, 21029, 10807, 9239, 1038, 1948, 8228, 1152, 3197, 693, 1256, 4994, 7158, 454, 1038, 1820, 9852, 20687, 314, 273, 281, 7003, 9852, 20687, 2567, 476, 273, 20285, 825, 1219, 1404, 318, 5976, 9078, 1235, 4311, 2187, 1038, 5048, 815, 3403, 2891, 8923, 4283, 513, 2898, 4845, 281, 19515, 1038, 1820, 2891, 23192, 9411, 281, 834, 266, 5048, 2020, 1038, 1948, 1688, 519, 3403, 5569, 547, 513, 1592, 543, 1820, 621, 856, 454, 1038, 1592, 17750, 815, 1592, 9852, 20687, 994, 1038, 1820, 17338, 17750, 2020, 1038, 1948, 16289, 513, 1007, 3693, 547, 519, 1592, 543, 1820, 454, 1038, 1592, 17750, 6910, 3488, 320, 5073, 1038, 1820, 17338, 17750, 2020, 1038, 1948, 4894, 689, 519, 1592, 538, 476, 274, 2081, 454, 1038, 1948, 1259, 476, 272, 454, 1038, 1642, 1592, 17750, 314, 271, 2639, 1038, 1820, 17338, 17750, 994, 1038, 1948, 1259, 476, 273, 454, 1038, 1592, 17750, 21014, 263, 274, 994, 1038, 1820, 17338, 17750, 994, 1038, 1948, 1259, 476, 274, 454, 1038, 1592, 17750, 31927, 3488, 320, 5073, 1038, 1820, 17338, 17750, 2020, 1038, 1948, 2638, 952, 519, 2262, 14735, 568, 538, 707, 3403, 1592, 454, 1038, 1820, 3488, 322, 262, 663, 1412, 320, 262, 543, 1412, 330, 262, 543, 1412, 324, 262, 538, 1592, 17750, 2020, 1038, 1948, 9258, 519, 3688, 538, 519, 1592, 543, 1820, 454, 1038, 1592, 17750, 18622, 2091, 4590, 1038, 1820, 17338, 17750, 2020, 1038, 1948, 9258, 519, 1592, 609, 519, 14253, 532, 8945, 454, 1038, 1820, 17338, 17750, 11468, 18737, 272, 20285, 1038, 1948, 1820, 519, 1592, 476, 274, 2053, 676, 1210, 8691, 454, 1038, 1820, 17338, 17750, 2608, 476, 274, 2020, 692, 339, 553, 815, 9537, 318, 663, 318, 18360, 902, 4590, 258, 339, 553, 269, 2452, 318, 5976, 23919, 902, 4590, 339, 553, 269, 2452, 318, 5976, 9078, 1235, 3890, 0, 5814, 28184, 5793, 1477, 5228, 28184, 5793, 1104, 2608, 1477, 5228, 28184, 5793, 1104, 5048, 7901, 1477, 5814, 4351, 1477, 5228, 4351, 1104, 695, 28984, 1477, 5228, 1913, 1104, 2262, 8217, 5897, 297, 3518, 956, 815, 1496, 15947, 11133, 815, 476, 271, 5897, 1721, 1775, 538, 2262, 8217, 6769, 825, 1347, 338, 815, 1592, 9217, 3418, 825, 695, 28984, 263, 577, 1513, 3418, 825, 2262, 815, 834, 2668, 21860, 263, 577, 1513, 3418, 825, 808, 3518, 956, 6910, 27182, 10142, 3698, 2332, 28399, 825, 2518, 808, 3518, 956, 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 ]
[ 1582, 3052, 600, 652, 1846, 8269, 6745, 4459, 16039, 326, 815, 834, 291, 19302, 645, 1513, 11017, 20081, 841, 342, 1222, 26008, 4840, 27030, 2018, 8640, 562, 2652, 476, 280, 281, 19930, 1948, 310, 17673, 7305, 9008, 454, 3546, 1948, 8527, 318, 767, 318, 345, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 3097, 3546, 1948, 1345, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318, 767, 318, 345, 454, 17264, 3097, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 272, 912, 7386, 4232, 318, 767, 13448, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 276, 454, 7386, 1582, 6230, 617, 601, 269, 628, 343, 6834, 4232, 318, 767, 13448, 692, 3546, 8640, 1582, 6745, 4459, 4942, 848, 3436, 476, 272, 543, 1582, 6745, 4459, 4942, 848, 2999, 476, 276, 912, 7386, 4232, 318, 767, 13448, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 276, 825, 1948, 6833, 12288, 1374, 1934, 1862, 901, 7084, 568, 2556, 547, 2936, 519, 834, 23437, 599, 257, 1247, 8066, 519, 3349, 9008, 8945, 538, 519, 327, 2011, 692, 3546, 8640, 1582, 6745, 4459, 4942, 848, 2652, 476, 276, 912, 7386, 4232, 318, 767, 13448, 815, 910, 1345, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 276, 454, 7386, 1582, 6230, 617, 601, 269, 628, 343, 6834, 4232, 318, 767, 13448, 454, 17264, 3097, 7386, 1948, 604, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 628, 343, 4939, 476, 11740, 2652, 476, 271, 912, 7386, 952, 1582, 6230, 617, 601, 269, 628, 343, 13843, 476, 271, 269, 271, 543, 1582, 6230, 617, 601, 269, 628, 343, 1341, 4232, 318, 767, 13448, 2999, 476, 271, 269, 271, 912, 13376, 1582, 6745, 4459, 532, 815, 476, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 272, 454, 13376, 1582, 6230, 617, 601, 269, 628, 343, 815, 476, 271, 269, 271, 454, 13376, 1582, 3052, 600, 652, 1846, 8269, 6745, 4459, 16039, 326, 815, 834, 8368, 9008, 26008, 4840, 27030, 3546, 1948, 604, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 628, 343, 4939, 476, 3445, 2652, 476, 271, 1384, 3546, 952, 1582, 6230, 617, 601, 269, 628, 343, 10922, 476, 3445, 269, 271, 543, 1582, 6230, 617, 601, 269, 628, 343, 1341, 4232, 318, 767, 13448, 3436, 476, 3445, 269, 271, 912, 7386, 1582, 6230, 617, 601, 269, 628, 343, 815, 476, 3445, 269, 271, 454, 7386, 1582, 6745, 4459, 4942, 848, 6834, 476, 272, 454, 7386, 1948, 570, 7495, 302, 1118, 513, 1259, 547, 3180, 513, 8945, 585, 513, 1978, 2179, 540, 942, 692, 2018, 8640, 562, 2652, 476, 1015, 281, 1038, 1948, 23562, 12371, 595, 3311, 920, 342, 454, 3546, 4232, 318, 767, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 1547, 277, 692, 3546, 1582, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318, 767, 454, 3546, 1582, 6230, 617, 601, 269, 628, 343, 6834, 4232, 318, 767, 692, 3546, 952, 1582, 6230, 617, 601, 269, 628, 345, 13843, 1582, 6230, 655, 17951, 548, 1341, 476, 20065, 10778, 7386, 1582, 6230, 617, 601, 269, 628, 343, 815, 476, 271, 269, 271, 454, 7386, 1582, 6745, 4459, 532, 815, 476, 271, 454, 7386, 1582, 6230, 655, 17951, 548, 815, 476, 271, 454, 7386, 1582, 6745, 4459, 4942, 848, 815, 476, 272, 454, 7386, 1582, 3052, 600, 652, 1846, 8269, 6745, 4459, 16039, 326, 815, 834, 23562, 12371, 595, 3311, 920, 342, 26008, 4840, 27030, 2018, 8640, 562, 2652, 476, 1556, 281, 2018, 1948, 12988, 4148, 760, 29114, 342, 1222, 454, 3546, 4232, 318, 767, 318, 3724, 4148, 760, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 1547, 277, 454, 3546, 1582, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318, 767, 318, 3724, 4148, 760, 692, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 272, 543, 1582, 6230, 617, 601, 269, 628, 345, 13843, 1582, 6230, 655, 17951, 548, 1341, 476, 3445, 912, 7386, 1582, 6745, 4459, 4942, 848, 815, 476, 273, 454, 27030, 3546, 8640, 1582, 6745, 4459, 4942, 848, 2652, 476, 273, 912, 7386, 4232, 318, 767, 4671, 841, 342, 1222, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 1547, 279, 692, 7386, 1948, 2745, 834, 20321, 281, 346, 9574, 4232, 318, 767, 281, 24001, 2668, 8971, 4311, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 20321, 267, 4232, 318, 767, 4671, 841, 342, 1222, 2020, 7386, 952, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 20321, 10922, 476, 11740, 269, 271, 543, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 20321, 1341, 4232, 318, 767, 4671, 841, 342, 1222, 3436, 476, 11740, 269, 271, 912, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 274, 454, 13376, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 20321, 815, 476, 271, 269, 271, 454, 7386, 3116, 912, 13376, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 20321, 6834, 4232, 318, 767, 4671, 841, 342, 1222, 454, 27030, 3546, 8640, 1582, 6745, 4459, 4942, 848, 2652, 476, 274, 912, 7386, 952, 1582, 6230, 617, 601, 269, 628, 345, 13843, 1582, 6230, 655, 17951, 548, 1341, 476, 20065, 912, 13376, 1582, 6745, 4459, 532, 815, 476, 271, 454, 13376, 1582, 6230, 655, 17951, 548, 815, 476, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 272, 454, 13376, 1582, 3052, 600, 652, 1846, 8269, 6745, 4459, 16039, 326, 815, 834, 12988, 4148, 760, 29114, 342, 1222, 26008, 4840, 13376, 1948, 1345, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 20321, 815, 476, 271, 269, 271, 454, 4449, 3097, 2018, 8640, 562, 2652, 476, 1321, 281, 7386, 1948, 11740, 2490, 1341, 476, 11740, 13063, 11017, 454, 3546, 1948, 1345, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 628, 345, 815, 1582, 6230, 617, 601, 269, 18244, 9131, 18134, 262, 4940, 628, 345, 1341, 476, 272, 454, 3546, 1948, 1345, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 628, 345, 815, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 628, 345, 1341, 476, 272, 454, 4449, 454, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 272, 912, 7386, 4232, 318, 767, 318, 11740, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 454, 7386, 1582, 6230, 617, 601, 269, 20321, 6834, 4232, 318, 767, 318, 11740, 692, 7386, 952, 1582, 6230, 617, 601, 269, 20321, 10922, 476, 5197, 543, 1582, 6230, 617, 601, 269, 20321, 1341, 4232, 318, 767, 318, 11740, 3436, 476, 5197, 912, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 273, 692, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 273, 912, 7386, 4232, 318, 767, 10734, 1513, 11017, 815, 910, 1345, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 273, 269, 271, 454, 7386, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 6834, 4232, 318, 767, 10734, 1513, 11017, 692, 7386, 952, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 13843, 910, 11740, 269, 271, 543, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 1341, 4232, 318, 767, 10734, 1513, 11017, 2999, 910, 11740, 269, 271, 912, 13376, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 815, 476, 271, 269, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 274, 692, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 274, 281, 3097, 7386, 4232, 318, 767, 318, 11740, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 454, 7386, 1582, 6230, 617, 601, 269, 20321, 6834, 4232, 318, 767, 318, 11740, 692, 7386, 1948, 8527, 318, 767, 10734, 1513, 11017, 815, 910, 1345, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 454, 7386, 1948, 1345, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 6834, 4232, 318, 767, 10734, 1513, 11017, 454, 27030, 7386, 952, 1582, 6230, 617, 601, 269, 20321, 10922, 476, 11740, 269, 271, 543, 1582, 6230, 617, 601, 269, 20321, 1341, 4232, 318, 767, 318, 11740, 3436, 476, 11740, 269, 271, 912, 13376, 1582, 6745, 4459, 532, 815, 476, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 272, 454, 13376, 1582, 6230, 617, 601, 269, 20321, 815, 476, 271, 269, 271, 454, 13376, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 815, 476, 271, 269, 271, 454, 13376, 1582, 3052, 600, 652, 1846, 8269, 6745, 4459, 16039, 326, 815, 834, 11740, 12414, 1341, 645, 1513, 11017, 26008, 4840, 27030, 2018, 8640, 562, 2652, 476, 1724, 281, 13376, 1948, 21080, 7736, 334, 454, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 272, 912, 7386, 4232, 318, 767, 815, 910, 1345, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 277, 454, 7386, 1582, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318, 767, 692, 3546, 952, 1582, 6230, 617, 601, 269, 628, 345, 10922, 1582, 6230, 655, 17951, 548, 910, 476, 2568, 912, 7386, 1582, 6745, 4459, 4942, 848, 815, 1582, 6745, 4459, 4942, 848, 1341, 476, 272, 692, 3546, 952, 1582, 6745, 4459, 4942, 848, 3436, 476, 275, 912, 7386, 4232, 318, 767, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 277, 454, 7386, 1582, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318, 767, 692, 7386, 952, 1582, 6230, 617, 601, 269, 628, 345, 13843, 1582, 6230, 655, 17951, 548, 910, 476, 1015, 912, 13376, 1582, 6745, 4459, 532, 815, 476, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 272, 454, 13376, 1582, 6230, 655, 17951, 548, 815, 476, 271, 454, 13376, 1582, 3052, 600, 652, 1846, 8269, 6745, 4459, 16039, 326, 815, 834, 21080, 7736, 334, 8627, 15323, 2018, 8640, 562, 2652, 476, 1691, 281, 13376, 1948, 21080, 7736, 334, 7132, 3046, 6335, 454, 3546, 952, 1582, 6745, 4459, 4942, 848, 2652, 476, 272, 912, 7386, 4232, 318, 767, 815, 910, 1345, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 277, 454, 7386, 1582, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318, 767, 454, 4449, 454, 7386, 952, 1582, 6230, 617, 601, 269, 628, 345, 10922, 1582, 6230, 655, 17951, 548, 910, 476, 2568, 912, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 273, 454, 13376, 1948, 2745, 834, 1729, 8945, 874, 848, 476, 273, 5016, 3546, 8640, 1582, 6745, 4459, 4942, 848, 2652, 476, 273, 912, 7386, 4232, 318, 767, 815, 910, 1345, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 454, 7386, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 6834, 4232, 318, 767, 454, 7386, 1948, 2745, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 454, 7386, 952, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 13843, 910, 5197, 269, 271, 543, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 1341, 4232, 318, 767, 2999, 910, 5197, 269, 271, 912, 13376, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 815, 910, 5197, 269, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 274, 454, 13376, 1948, 2745, 834, 1729, 8945, 874, 848, 476, 274, 5016, 3546, 8640, 1582, 6745, 4459, 4942, 848, 2652, 476, 274, 912, 7386, 4232, 318, 767, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 454, 7386, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 6834, 4232, 318, 767, 454, 7386, 952, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 10922, 476, 271, 269, 271, 543, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 1341, 4232, 318, 767, 3436, 476, 271, 269, 271, 912, 13376, 1582, 6230, 617, 601, 269, 18244, 9131, 8518, 548, 8663, 262, 4940, 20321, 815, 476, 271, 269, 271, 454, 13376, 1582, 6745, 4459, 4942, 848, 815, 476, 275, 454, 13376, 1948, 2745, 834, 1729, 8945, 874, 848, 476, 275, 4840, 27030, 3546, 8640, 1582, 6745, 4459, 4942, 848, 2652, 476, 275, 912, 7386, 4232, 318, 767, 815, 1582, 25331, 3187, 6745, 1248, 2608, 24303, 5334, 2608, 476, 271, 269, 277, 454, 7386, 1582, 6230, 617, 601, 269, 628, 345, 6834, 4232, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 562, 815, 703, 9272, 15405, 825, 1624, 18380, 815, 9598, 4590, 825, 585, 9041, 538, 2039, 3799, 2187, 1038, 2262, 815, 3403, 14061, 29328, 4590, 1038, 952, 2262, 538, 1624, 18380, 912, 2018, 1624, 18380, 314, 5320, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1624, 18380, 314, 5320, 316, 815, 476, 272, 692, 825, 1624, 5332, 3518, 815, 1496, 1598, 263, 11484, 264, 585, 1624, 538, 1624, 18380, 269, 11161, 3890, 2639, 825, 1820, 6600, 262, 346, 6352, 263, 11484, 18380, 264, 4153, 333, 346, 257, 834, 269, 21860, 263, 11484, 5332, 3518, 14587, 262, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 1820, 5334, 638, 4100, 263, 276, 994, 825, 1948, 1820, 318, 14725, 1676, 318, 1575, 8443, 273, 267, 476, 274, 267, 476, 277, 267, 476, 277, 267, 476, 276, 7481, 825, 1948, 1820, 29999, 318, 11484, 318, 4650, 4590, 825, 1592, 15058, 318, 1723, 24002, 263, 272, 267, 476, 272, 267, 476, 272, 267, 476, 273, 994, 0, 5228, 4351, 1104, 28219, 842, 5897, 258, 1915, 815, 2715, 1477, 258, 672, 834, 4067, 9899, 834, 299, 2335, 529, 2580, 1477, 258, 672, 834, 16651, 9899, 834, 293, 2607, 2580, 1477, 258, 672, 834, 5035, 9899, 834, 14976, 325, 2580, 1477, 258, 672, 834, 720, 9899, 476, 25002, 1477, 258, 7684, 1477, 258, 1477, 258, 1820, 2891, 2080, 568, 1018, 649, 723, 865, 2484, 281, 834, 3418, 258, 585, 2493, 538, 1915, 6769, 258, 672, 1820, 6600, 257, 346, 560, 520, 269, 21639, 3890, 348, 281, 2715, 30726, 314, 560, 520, 316, 348, 8442, 315, 5897, 3698, 5066, 5091, 5334, 3660, 4433, 3660, 2567, 1948, 24439, 543, 1022, 21758, 5884, 5066, 1477, 825, 2132, 28219, 842, 263, 272, 267, 521, 3660, 10142, 3698, 5066, 318, 3430, 25572, 263, 2567, 1948, 17029, 3149, 476, 274, 323, 277, 543, 18304, 519, 1871, 1477, 825, 1948, 6060, 815, 271, 1477, 825, 1948, 585, 795, 538, 2039, 263, 274, 8029, 825, 1948, 672, 6060, 6834, 5066, 5091, 5334, 3660, 263, 277, 3418, 825, 1948, 2132, 6060, 1477, 825, 2132, 2040, 263, 2651, 5091, 5334, 3660, 263, 277, 264, 585, 1775, 538, 2039, 263, 274, 264, 10142, 28744, 263, 2651, 318, 3430, 25572, 3890, 10142, 258, 10305, 815, 2715, 1477, 258, 672, 834, 22552, 9899, 5066, 318, 3430, 25572, 19572, 1477, 258, 672, 834, 291, 13052, 9899, 5066, 318, 3430, 25572, 19572, 1477, 258, 672, 834, 25321, 9899, 5066, 318, 3430, 25572, 19572, 1477, 258, 672, 834, 19860, 9899, 5066, 318, 3430, 25572, 19572, 1477, 258, 672, 834, 310, 3041, 9899, 5066, 318, 3430, 25572, 19572, 1477, 258, 672, 834, 6224, 288, 9899, 5066, 318, 3430, 25572, 14052, 258, 7684, 5897, 3430, 1026, 2373, 815, 9598, 18750, 760, 8443, 257, 22552, 2580, 834, 291, 13052, 2580, 834, 25321, 2580, 834, 19860, 2580, 834, 310, 3041, 2580, 834, 6224, 288, 257, 3910, 1477, 825, 1496, 2651, 318, 3430, 25572, 3890, 585, 1775, 538, 2039, 263, 277, 264, 8079, 3418, 1721, 630, 330, 267, 642, 264, 538, 10305, 29096, 28399, 825, 1820, 6600, 257, 346, 330, 348, 281, 2715, 341, 348, 14744, 258, 1820, 263, 3430, 1026, 2373, 3418, 258, 1820, 263, 3430, 1026, 2373, 10142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 13434, 2720, 542, 454, 12163, 5228, 6449, 325, 1956, 1029, 1104, 6498, 7531, 3698, 1379, 3287, 267, 562, 2187, 825, 1948, 3490, 2013, 476, 272, 454, 825, 952, 562, 2652, 476, 271, 912, 1038, 2132, 476, 272, 16963, 825, 1948, 27952, 2013, 454, 825, 952, 562, 3436, 476, 271, 912, 1038, 2132, 1535, 2608, 1379, 3287, 267, 562, 910, 476, 272, 2020, 825, 952, 562, 2999, 476, 271, 912, 1038, 562, 815, 630, 333, 2608, 910, 272, 994, 1038, 533, 342, 337, 815, 1379, 3287, 267, 562, 994, 1038, 2132, 476, 272, 1315, 533, 342, 337, 454, 0, 258, 8193, 284, 583, 325, 268, 279, 454, 12163, 600, 345, 333, 692, 10674, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 4614, 6137, 5991, 13246, 270, 692, 11693, 1079, 9981, 2048, 333, 685, 543, 2048, 332, 8730, 1265, 782, 519, 19480, 2338, 538, 2039, 1496, 333, 267, 544, 4940, 589, 454, 15893, 568, 1572, 19480, 1297, 952, 782, 454, 29951, 8809, 9704, 723, 606, 6207, 3017, 540, 476, 272, 269, 476, 25834, 568, 513, 6008, 6137, 7089, 1247, 476, 275, 2641, 568, 711, 780, 14300, 1384, 19152, 2433, 562, 815, 476, 271, 267, 544, 815, 476, 2641, 454, 20479, 2433, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1321, 476, 2641, 692, 19152, 2433, 562, 815, 476, 1015, 267, 544, 815, 476, 1428, 454, 20479, 2433, 476, 1015, 267, 476, 1321, 454, 20701, 454, 3698, 1205, 5332, 13246, 318, 5976, 318, 10472, 318, 2181, 25785, 16325, 2187, 825, 2063, 5091, 13424, 815, 1003, 4939, 476, 1015, 454, 825, 15358, 815, 29129, 825, 952, 2063, 5091, 13424, 11203, 476, 271, 912, 1038, 737, 815, 2063, 5091, 13424, 910, 476, 272, 454, 1038, 19480, 19571, 815, 630, 11133, 2608, 476, 1015, 264, 1341, 737, 454, 1038, 15358, 6910, 263, 4614, 6137, 19571, 2020, 825, 952, 2063, 5091, 13424, 11203, 476, 280, 912, 1038, 737, 815, 2063, 5091, 13424, 1341, 476, 272, 454, 1038, 19480, 19571, 815, 630, 11133, 2608, 476, 1015, 264, 1341, 737, 454, 1038, 15358, 6910, 263, 4614, 6137, 19571, 2020, 825, 2132, 15358, 7531, 3698, 19480, 5332, 13246, 3799, 2187, 825, 952, 562, 10922, 476, 280, 912, 1038, 1820, 2039, 263, 1015, 2020, 825, 15358, 815, 2039, 263, 1015, 994, 825, 1775, 815, 476, 272, 454, 825, 8737, 815, 8771, 692, 825, 1247, 711, 8737, 912, 1038, 28364, 19571, 815, 15358, 5157, 2639, 1038, 1985, 5332, 4548, 815, 1205, 5332, 13246, 318, 5976, 318, 10472, 318, 2181, 25785, 263, 2017, 337, 19571, 2020, 1038, 585, 1003, 538, 1985, 5332, 4548, 912, 2018, 952, 1003, 3436, 562, 912, 3546, 8737, 815, 6936, 454, 3546, 2736, 692, 2018, 15358, 6910, 16325, 2020, 1038, 1775, 6834, 476, 272, 692, 825, 2132, 15358, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 19480, 5332, 13246, 263, 13893, 994, 0, 12163, 600, 345, 333, 692, 10674, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 11305, 1844, 983, 268, 28255, 1606, 564, 268, 272, 10784, 3174, 268, 6783, 21553, 921, 7695, 13045, 20701, 454, 5035, 8562, 983, 20075, 826, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 2187, 1038, 1582, 25915, 815, 2450, 454, 1038, 1582, 8807, 3224, 815, 910, 272, 454, 1038, 1582, 18622, 541, 815, 910, 272, 454, 1038, 1582, 15126, 815, 1496, 14085, 585, 1775, 538, 2039, 4433, 1125, 264, 6540, 825, 1219, 679, 28255, 4311, 267, 1003, 2187, 1038, 952, 630, 1345, 8807, 3224, 2652, 476, 271, 543, 1582, 18622, 541, 2652, 1582, 25915, 910, 476, 272, 264, 610, 1582, 18622, 541, 2652, 1582, 8807, 3224, 910, 476, 272, 912, 2018, 1820, 1412, 304, 2407, 7055, 2018, 2132, 8771, 692, 1038, 8640, 1582, 8807, 3224, 2652, 910, 272, 912, 2018, 1582, 8807, 3224, 815, 476, 271, 454, 2018, 1582, 18622, 541, 815, 476, 271, 454, 2018, 1582, 15126, 314, 1345, 18622, 541, 316, 815, 1003, 454, 2018, 2132, 6936, 692, 1038, 8640, 1582, 18622, 541, 2652, 1582, 25915, 910, 476, 272, 543, 1582, 8807, 3224, 11203, 476, 271, 912, 2018, 1582, 18622, 541, 815, 476, 271, 454, 2018, 1582, 15126, 314, 1345, 18622, 541, 316, 815, 1003, 454, 2018, 2132, 6936, 692, 1038, 3116, 912, 2018, 1582, 18622, 541, 6834, 476, 272, 454, 2018, 1582, 15126, 314, 1345, 18622, 541, 316, 815, 1003, 454, 2018, 2132, 6936, 692, 825, 1219, 632, 28255, 4311, 2187, 1038, 952, 1582, 8807, 3224, 2652, 910, 272, 912, 2018, 1820, 1412, 304, 8900, 7055, 2018, 2132, 8771, 692, 1038, 1239, 815, 1582, 15126, 314, 1345, 8807, 3224, 2639, 1038, 1582, 15126, 314, 1345, 8807, 3224, 316, 815, 7183, 692, 1038, 952, 1582, 8807, 3224, 2652, 1582, 18622, 541, 912, 2018, 1582, 8807, 3224, 815, 910, 272, 454, 2018, 1582, 18622, 541, 815, 910, 272, 692, 1038, 8640, 1582, 8807, 3224, 2652, 1582, 25915, 910, 476, 272, 912, 2018, 1582, 8807, 3224, 815, 476, 271, 692, 1038, 3116, 912, 2018, 1582, 8807, 3224, 6834, 476, 272, 692, 1038, 2132, 1239, 454, 0, 12163, 916, 1111, 692, 10674, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 14075, 652, 3887, 1597, 27480, 28175, 11415, 1606, 636, 23867, 29364, 28451, 270, 692, 763, 2856, 568, 547, 2015, 782, 2009, 4571, 2798, 630, 1993, 1256, 3259, 10799, 902, 264, 543, 454, 18141, 9750, 593, 1312, 5011, 547, 1205, 543, 9337, 6099, 3259, 607, 519, 2040, 540, 454, 18314, 5011, 1831, 3160, 454, 20701, 454, 3698, 1205, 26174, 28747, 5334, 889, 11415, 30415, 267, 1775, 267, 795, 267, 544, 267, 562, 2187, 825, 513, 815, 1775, 454, 825, 536, 815, 795, 454, 825, 544, 9078, 815, 561, 815, 476, 271, 692, 825, 561, 23544, 815, 476, 271, 454, 825, 678, 23544, 815, 476, 271, 454, 825, 1247, 1775, 13843, 544, 543, 795, 10922, 562, 912, 1038, 561, 23544, 6834, 703, 30415, 5157, 7481, 1038, 678, 23544, 6834, 703, 30415, 14728, 7481, 1038, 561, 6834, 476, 273, 692, 1038, 952, 561, 23544, 2652, 678, 23544, 543, 561, 3436, 544, 9078, 912, 2018, 544, 9078, 815, 561, 454, 2018, 513, 815, 1775, 454, 2018, 536, 815, 795, 692, 1038, 1775, 20699, 476, 272, 454, 1038, 795, 6834, 476, 272, 692, 825, 2132, 5569, 314, 320, 281, 321, 1341, 476, 272, 6540, 454, 3698, 3193, 28747, 5334, 889, 1598, 318, 5976, 318, 16838, 28747, 318, 663, 5091, 525, 1600, 5334, 4548, 30415, 2187, 825, 544, 815, 476, 271, 454, 825, 562, 815, 7003, 30415, 264, 910, 476, 272, 454, 825, 1775, 815, 476, 271, 454, 825, 1267, 815, 15234, 692, 825, 1247, 1775, 2999, 7003, 30415, 264, 910, 476, 272, 912, 1038, 795, 815, 1775, 1341, 476, 272, 454, 1038, 759, 815, 1205, 26174, 28747, 5334, 889, 11415, 30415, 267, 1775, 267, 795, 267, 544, 267, 562, 2020, 1038, 952, 7003, 263, 637, 264, 3436, 7003, 31114, 2187, 2018, 1267, 815, 759, 692, 1038, 1775, 6834, 476, 272, 692, 825, 2132, 1267, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 3193, 28747, 5334, 889, 1598, 318, 5976, 318, 16838, 28747, 318, 663, 5091, 525, 1600, 5334, 4548, 3488, 11277, 11277, 5073, 825, 1820, 3193, 28747, 5334, 889, 1598, 318, 5976, 318, 16838, 28747, 318, 663, 5091, 525, 1600, 5334, 4548, 3488, 14631, 26764, 274, 262, 9239, 12163, 321, 21392, 1935, 454, 29264, 1169, 30268, 543, 2638, 454, 20701, 454, 3698, 3193, 318, 6352, 5334, 889, 1598, 318, 5271, 318, 6352, 30415, 2187, 825, 544, 343, 318, 6352, 815, 476, 271, 454, 825, 1376, 815, 476, 271, 692, 825, 585, 1775, 538, 2039, 12759, 30415, 264, 910, 476, 272, 2187, 1038, 561, 815, 1775, 454, 1038, 678, 815, 1775, 1341, 476, 272, 454, 1038, 561, 23544, 815, 678, 23544, 815, 476, 271, 454, 1038, 28364, 318, 6352, 815, 476, 271, 692, 1038, 1247, 561, 13843, 476, 271, 543, 678, 2999, 7003, 30415, 17107, 2018, 561, 23544, 6834, 703, 30415, 314, 331, 7481, 2018, 678, 23544, 6834, 703, 30415, 314, 337, 7481, 2018, 28364, 318, 6352, 6834, 476, 273, 692, 2018, 952, 561, 23544, 2652, 678, 23544, 912, 3546, 544, 343, 318, 6352, 815, 28364, 318, 6352, 454, 3546, 1376, 815, 561, 692, 2018, 561, 20699, 476, 272, 454, 2018, 678, 6834, 476, 272, 692, 825, 2132, 5569, 314, 11034, 281, 1376, 1341, 544, 343, 318, 6352, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 3193, 318, 6352, 5334, 889, 1598, 318, 5271, 318, 6352, 3488, 11277, 11277, 5073, 825, 1820, 3193, 318, 6352, 5334, 889, 1598, 318, 5271, 318, 6352, 3488, 14631, 26764, 274, 5073, 0, 12163, 1103, 513, 6034, 539, 3113, 1265, 952, 513, 6843, 513, 568, 3914, 762, 689, 1776, 6843, 536, 454, 20701, 454, 3698, 568, 318, 18943, 762, 27316, 272, 267, 6843, 273, 267, 3113, 2187, 825, 546, 12028, 27316, 272, 267, 3113, 2020, 825, 2132, 6843, 273, 18994, 318, 6665, 1243, 7531, 3698, 546, 12028, 4433, 1830, 267, 3113, 2187, 825, 2707, 18994, 318, 6665, 1243, 815, 6936, 454, 825, 585, 16705, 538, 3113, 314, 25899, 14158, 1038, 952, 711, 16705, 18994, 318, 6665, 1243, 912, 2018, 546, 12028, 263, 31371, 13118, 267, 3113, 994, 0, 12163, 10674, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 7933, 3554, 2678, 5991, 268, 776, 2389, 872, 13045, 20701, 454, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 269, 18244, 815, 29129, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 21606, 9239, 3698, 8006, 20172, 2187, 825, 1126, 318, 515, 2074, 815, 11713, 825, 1126, 5091, 3554, 4394, 815, 29129, 825, 585, 1126, 538, 3597, 269, 18244, 912, 1038, 554, 267, 546, 815, 8006, 263, 18876, 994, 1038, 1126, 318, 515, 2074, 6910, 22607, 994, 1038, 1126, 5091, 3554, 4394, 6910, 5560, 2020, 825, 1948, 1797, 1100, 1453, 267, 6978, 6843, 267, 865, 476, 272, 454, 825, 952, 7003, 263, 18876, 318, 515, 2074, 264, 2652, 476, 271, 912, 1038, 2132, 476, 272, 267, 476, 272, 692, 825, 1126, 318, 515, 2074, 31699, 4590, 825, 8006, 318, 10843, 318, 10174, 815, 476, 272, 454, 825, 1293, 815, 476, 271, 454, 825, 1402, 6244, 815, 29129, 825, 1948, 3478, 1283, 476, 273, 1126, 15627, 267, 1317, 8006, 998, 3597, 1058, 581, 689, 454, 825, 1948, 476, 272, 1341, 1283, 476, 273, 3597, 547, 6978, 10092, 540, 3193, 7003, 630, 821, 585, 2469, 909, 267, 8757, 3597, 543, 454, 825, 1948, 2469, 1524, 676, 519, 824, 994, 825, 1247, 7003, 263, 18876, 318, 515, 2074, 264, 3436, 476, 271, 543, 1293, 2999, 476, 273, 912, 1038, 1402, 6244, 6910, 263, 18876, 318, 515, 2074, 21014, 15405, 1038, 1293, 6834, 476, 272, 692, 825, 585, 1714, 538, 1402, 6244, 912, 1038, 8006, 318, 10843, 318, 10174, 6834, 1714, 692, 825, 1948, 2322, 873, 1394, 2094, 649, 991, 262, 655, 585, 2663, 454, 825, 1126, 318, 515, 2074, 269, 2169, 754, 9638, 641, 6244, 2020, 825, 4463, 815, 476, 272, 1341, 3193, 263, 18876, 318, 515, 2074, 994, 825, 9041, 323, 3554, 2678, 815, 3193, 263, 18876, 5091, 3554, 4394, 1341, 1496, 323, 3554, 2678, 318, 10843, 318, 10174, 20285, 825, 2132, 4463, 267, 9041, 323, 3554, 2678, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 678, 815, 19219, 263, 272, 994, 825, 678, 269, 18244, 815, 1496, 11966, 263, 273, 264, 585, 1775, 538, 2039, 263, 274, 22708, 825, 678, 269, 18244, 314, 271, 4940, 18244, 815, 1496, 11966, 263, 274, 264, 585, 1775, 538, 2039, 263, 274, 22708, 825, 678, 269, 18244, 314, 273, 4940, 18244, 815, 1496, 11966, 263, 275, 1070, 19219, 263, 275, 22708, 825, 678, 269, 18244, 314, 271, 4940, 18244, 314, 273, 4940, 18244, 815, 1496, 11966, 263, 276, 1070, 19219, 263, 276, 22708, 825, 678, 269, 18244, 314, 273, 4940, 18244, 314, 271, 4940, 18244, 815, 1496, 11966, 263, 277, 22708, 825, 678, 269, 18244, 314, 271, 4940, 18244, 314, 273, 4940, 18244, 314, 271, 4940, 18244, 815, 1496, 11966, 263, 278, 264, 6540, 825, 1820, 8006, 16868, 994, 0, 258, 8193, 284, 583, 325, 268, 279, 454, 12163, 600, 345, 333, 692, 10674, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 935, 3200, 268, 6783, 10784, 334, 22271, 580, 22271, 698, 1922, 5831, 270, 692, 763, 2856, 568, 547, 946, 9168, 835, 1780, 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 ]
[ 1114, 32159, 269, 769, 1931, 547, 1039, 519, 7787, 7215, 1657, 267, 649, 991, 547, 6460, 873, 547, 513, 1455, 14009, 269, 634, 1079, 32159, 1535, 1341, 476, 276, 543, 1535, 1341, 476, 273, 723, 1100, 1455, 2188, 8754, 741, 700, 13967, 568, 2016, 676, 912, 9448, 300, 815, 630, 343, 1341, 476, 276, 7565, 343, 1341, 476, 273, 994, 2171, 1631, 946, 519, 700, 13967, 607, 519, 1455, 14009, 543, 27682, 519, 7787, 7215, 609, 519, 1482, 14009, 607, 5205, 780, 2171, 1631, 4228, 267, 14458, 543, 3815, 519, 19362, 952, 2009, 16317, 322, 2020, 11405, 912, 1103, 1931, 547, 1039, 513, 7787, 4082, 609, 606, 4082, 1510, 14009, 267, 649, 6460, 519, 835, 1510, 14009, 883, 513, 7787, 4082, 1287, 1039, 873, 780, 763, 1079, 7787, 7215, 723, 519, 1482, 14009, 543, 789, 616, 3773, 607, 5205, 1384, 323, 2020, 11405, 912, 763, 1079, 7787, 7215, 723, 1114, 32159, 269, 769, 1931, 547, 1039, 519, 7787, 7215, 1657, 267, 649, 991, 547, 6460, 873, 547, 513, 1455, 14009, 269, 1284, 1101, 3815, 4625, 519, 1079, 32159, 1535, 476, 273, 910, 476, 274, 343, 1341, 476, 273, 543, 1535, 476, 273, 1341, 476, 273, 1535, 910, 476, 274, 543, 1265, 519, 700, 13967, 540, 25285, 563, 343, 454, 273, 910, 476, 274, 343, 1341, 476, 273, 815, 630, 343, 910, 476, 272, 264, 630, 343, 910, 476, 273, 994, 343, 454, 273, 1341, 476, 273, 1535, 910, 476, 274, 815, 630, 343, 910, 476, 272, 7565, 343, 1341, 476, 274, 994, 9448, 300, 815, 630, 343, 910, 476, 272, 7565, 343, 910, 476, 273, 7565, 343, 1341, 476, 274, 994, 2171, 1631, 946, 519, 700, 13967, 607, 519, 1455, 14009, 543, 27682, 519, 7787, 7215, 609, 519, 1482, 14009, 607, 5205, 780, 2171, 1631, 1039, 519, 6746, 2209, 4228, 543, 14458, 780, 324, 2020, 11405, 912, 2171, 27682, 519, 2016, 4082, 609, 6746, 2209, 543, 32159, 538, 1249, 1819, 1106, 543, 14458, 952, 2009, 780, 2171, 22599, 1455, 2188, 780, 763, 1079, 32159, 1535, 1341, 476, 272, 543, 1535, 1341, 476, 274, 723, 1100, 1455, 2188, 543, 4061, 741, 700, 7374, 568, 630, 343, 1341, 476, 272, 7565, 343, 1341, 476, 274, 1040, 1284, 27682, 519, 1657, 609, 519, 1455, 3815, 630, 343, 1341, 476, 272, 7565, 343, 1341, 476, 274, 264, 607, 5205, 1384, 22091, 663, 543, 14458, 780, 325, 2020, 11405, 912, 763, 1614, 7787, 7215, 723, 1114, 32159, 269, 769, 1931, 547, 10208, 270, 5417, 519, 7787, 7215, 1657, 267, 649, 991, 547, 6460, 873, 547, 513, 1455, 14009, 269, 8266, 543, 3815, 4625, 519, 1614, 32159, 476, 273, 343, 910, 476, 272, 2073, 476, 273, 1535, 476, 273, 1341, 476, 280, 1535, 910, 476, 276, 543, 476, 273, 1535, 1341, 476, 1015, 543, 1265, 519, 700, 13967, 563, 273, 343, 910, 476, 272, 815, 476, 273, 343, 910, 476, 272, 454, 273, 1535, 454, 273, 1341, 476, 280, 1535, 910, 476, 276, 815, 630, 273, 343, 910, 476, 272, 7565, 343, 1341, 476, 276, 994, 273, 343, 266, 1015, 815, 476, 273, 3287, 1341, 476, 276, 994, 9448, 300, 815, 476, 273, 263, 273, 343, 910, 476, 272, 7565, 343, 1341, 476, 276, 994, 2171, 1631, 946, 519, 700, 13967, 607, 519, 1455, 14009, 543, 27682, 519, 7787, 7215, 609, 519, 1482, 14009, 607, 5205, 780, 2171, 1631, 1039, 519, 6746, 2209, 543, 14458, 780, 326, 2020, 11405, 912, 763, 1079, 7787, 7215, 723, 1114, 32159, 269, 769, 1931, 547, 10208, 270, 5417, 519, 7787, 7215, 1657, 267, 649, 991, 547, 6460, 873, 547, 513, 1455, 14009, 269, 5903, 543, 3815, 4625, 519, 1079, 32159, 586, 3287, 586, 910, 586, 1341, 476, 274, 1535, 910, 476, 274, 264, 543, 476, 273, 1535, 910, 476, 273, 543, 1265, 519, 700, 13967, 563, 344, 3287, 586, 910, 586, 1341, 476, 274, 1535, 910, 476, 274, 264, 815, 586, 263, 586, 3287, 910, 476, 272, 264, 1341, 476, 274, 630, 343, 910, 476, 272, 4297, 815, 586, 3287, 910, 476, 272, 7565, 344, 1341, 476, 274, 994, 273, 1535, 910, 476, 273, 815, 476, 273, 3287, 910, 476, 272, 994, 9448, 300, 815, 476, 273, 586, 630, 343, 910, 476, 272, 7565, 344, 1341, 476, 274, 994, 2171, 1631, 946, 519, 700, 13967, 607, 519, 1455, 14009, 543, 27682, 519, 7787, 7215, 609, 519, 1482, 14009, 607, 5205, 780, 22091, 663, 543, 14458, 269, 0, 273, 1462, 334, 4368, 692, 296, 4956, 547, 1491, 519, 6587, 1935, 547, 1018, 20917, 962, 269, 4280, 585, 630, 7717, 787, 256, 1070, 799, 729, 547, 1294, 4010, 875, 1010, 6169, 5673, 593, 4645, 1599, 9163, 269, 1306, 621, 7140, 856, 267, 596, 666, 946, 4645, 9163, 547, 3132, 3606, 717, 10397, 1599, 9163, 899, 519, 3312, 4542, 267, 1498, 2356, 1510, 1373, 3833, 607, 2973, 543, 21136, 780, 2414, 1294, 875, 621, 4422, 267, 1577, 781, 1413, 693, 20917, 781, 6169, 269, 634, 8106, 8086, 543, 30945, 12596, 585, 519, 519, 717, 10397, 1599, 3132, 519, 12596, 1031, 538, 519, 6169, 281, 6695, 294, 10397, 4433, 9385, 7562, 7268, 7032, 521, 264, 815, 1422, 2765, 3189, 7032, 2410, 272, 1606, 348, 535, 2350, 3189, 7032, 7346, 294, 10397, 263, 272, 1606, 264, 6525, 543, 6695, 294, 10397, 4433, 9385, 6523, 1422, 19136, 331, 263, 1422, 2765, 3189, 7032, 521, 2410, 273, 4153, 19136, 337, 264, 815, 1422, 7032, 3867, 272, 270, 273, 348, 476, 273, 3867, 338, 268, 272, 348, 1422, 2765, 3189, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 338, 2410, 273, 348, 1422, 15927, 337, 264, 7346, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 272, 1606, 2410, 273, 348, 1422, 15927, 337, 14587, 269, 2330, 6333, 519, 4645, 3961, 267, 6695, 2765, 346, 1422, 7562, 3287, 264, 1341, 1422, 7562, 12169, 264, 476, 7346, 7562, 3287, 20742, 14587, 1341, 476, 272, 815, 1422, 2765, 346, 273, 315, 6523, 1422, 15927, 331, 7268, 2765, 12757, 2410, 273, 348, 1422, 15927, 337, 264, 1422, 6523, 1422, 15927, 331, 263, 1422, 2765, 26635, 2410, 273, 348, 1422, 15927, 337, 264, 7346, 6523, 1422, 15927, 331, 263, 1422, 2765, 12757, 20742, 2410, 273, 348, 1422, 15927, 337, 264, 9574, 2330, 799, 568, 2653, 2614, 547, 13182, 630, 663, 568, 13735, 1472, 538, 519, 6169, 2907, 1040, 1403, 649, 1491, 1269, 343, 7807, 7032, 513, 259, 543, 1269, 344, 7807, 7032, 536, 259, 543, 9062, 713, 3961, 676, 4399, 2765, 3189, 294, 10397, 5416, 9385, 294, 10397, 6357, 264, 7346, 294, 10397, 5416, 17070, 264, 20954, 1287, 519, 3105, 4399, 294, 10397, 27572, 10818, 9163, 6556, 20917, 781, 4542, 780, 3383, 594, 9289, 875, 2653, 621, 1131, 581, 547, 946, 1634, 4645, 9163, 547, 3132, 3606, 12596, 540, 713, 1826, 267, 2161, 609, 1114, 32159, 267, 543, 1934, 568, 606, 1383, 269, 11088, 1210, 519, 8086, 543, 8691, 12596, 267, 596, 666, 1397, 602, 6695, 294, 10397, 4433, 9385, 15927, 6921, 263, 1422, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 6523, 315, 15927, 6921, 7268, 2765, 346, 476, 273, 19570, 521, 2410, 274, 348, 1422, 15927, 23950, 264, 1422, 15927, 23950, 264, 815, 1422, 7032, 1422, 2765, 346, 274, 3867, 338, 268, 272, 270, 273, 348, 1422, 294, 10397, 315, 15927, 331, 7268, 2765, 346, 338, 2410, 274, 348, 1422, 15927, 337, 264, 7346, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 272, 1606, 2410, 274, 348, 1422, 15927, 337, 264, 1422, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 273, 1606, 2410, 274, 348, 1422, 15927, 337, 14587, 269, 2330, 634, 4645, 3961, 594, 1616, 547, 946, 630, 5765, 689, 519, 17784, 5086, 12596, 585, 25482, 264, 568, 3230, 273, 1422, 15927, 6921, 263, 1422, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 6523, 315, 15927, 6921, 263, 1422, 2765, 346, 273, 343, 2410, 274, 348, 1422, 15927, 23950, 264, 1422, 15927, 23950, 8203, 274, 910, 476, 274, 1422, 15927, 6921, 263, 1422, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 6523, 1422, 15927, 6921, 263, 1422, 2765, 346, 273, 343, 2410, 274, 348, 1422, 15927, 23950, 264, 1422, 15927, 23950, 8203, 273, 1341, 1422, 7562, 317, 273, 3287, 264, 815, 476, 271, 269, 2330, 6875, 1269, 343, 7807, 7032, 521, 259, 543, 9062, 676, 4399, 294, 10397, 4433, 8203, 274, 10608, 3973, 1310, 519, 7452, 3936, 956, 713, 11729, 519, 3961, 3230, 273, 19570, 476, 274, 3867, 274, 338, 268, 274, 270, 273, 4153, 2765, 346, 1422, 294, 10397, 315, 15927, 331, 263, 1422, 2765, 346, 338, 2410, 274, 348, 1422, 15927, 337, 8203, 274, 2410, 1422, 294, 10397, 315, 15927, 331, 263, 1422, 2765, 346, 272, 1606, 2410, 274, 348, 1422, 15927, 337, 8203, 274, 1422, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 273, 1606, 2410, 274, 348, 1422, 15927, 337, 8203, 274, 348, 910, 476, 274, 3867, 273, 338, 348, 1422, 2765, 346, 1422, 294, 10397, 4433, 264, 1422, 294, 10397, 315, 15927, 331, 263, 1422, 2765, 346, 338, 2410, 274, 348, 1422, 15927, 337, 8203, 273, 7346, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 272, 1606, 2410, 274, 348, 1422, 15927, 337, 8203, 273, 1422, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 273, 1606, 2410, 274, 348, 1422, 15927, 337, 8203, 273, 348, 1341, 1422, 2765, 346, 1422, 294, 10397, 4433, 264, 7346, 294, 10397, 263, 272, 1606, 8203, 273, 348, 815, 476, 271, 269, 2330, 1924, 9493, 1695, 267, 621, 781, 711, 602, 7168, 543, 649, 4312, 1152, 5833, 513, 835, 8686, 926, 762, 3961, 267, 855, 27229, 835, 666, 1265, 811, 1806, 540, 1617, 19041, 762, 12596, 538, 513, 2147, 6752, 26905, 1498, 596, 991, 547, 1205, 519, 6801, 547, 5447, 5265, 269, 1548, 568, 8799, 827, 20917, 962, 9538, 338, 4542, 568, 602, 519, 7060, 540, 476, 273, 602, 1223, 581, 972, 630, 332, 1276, 899, 519, 7060, 540, 476, 274, 1934, 264, 23182, 22599, 2476, 267, 6028, 1152, 4399, 294, 10397, 27572, 11161, 543, 513, 2582, 1379, 540, 4399, 7032, 16859, 272, 692, 296, 4956, 547, 1491, 519, 6587, 1935, 547, 1018, 20917, 962, 269, 4280, 585, 630, 7717, 787, 256, 1070, 799, 729, 547, 1294, 4010, 875, 1010, 6169, 5673, 593, 4645, 1599, 9163, 269, 1306, 621, 7140, 856, 267, 596, 666, 946, 4645, 9163, 547, 3132, 3606, 717, 10397, 1599, 9163, 899, 519, 3312, 4542, 267, 1498, 2356, 1510, 1373, 3833, 607, 2973, 543, 21136, 780, 2414, 1294, 875, 621, 4422, 267, 1577, 781, 1413, 693, 20917, 781, 6169, 269, 634, 8106, 8086, 543, 30945, 12596, 585, 519, 519, 717, 10397, 1599, 3132, 519, 12596, 1031, 538, 519, 6169, 281, 6695, 294, 10397, 4433, 9385, 7562, 7268, 7032, 521, 264, 815, 1422, 2765, 3189, 7032, 2410, 272, 1606, 6525, 543, 6695, 294, 10397, 4433, 9385, 6523, 1422, 19136, 331, 263, 1422, 2765, 3189, 7032, 521, 2410, 273, 4153, 19136, 337, 264, 815, 1422, 7032, 3867, 272, 270, 273, 348, 476, 273, 3867, 338, 268, 272, 348, 1422, 2765, 3189, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 338, 2410, 273, 348, 1422, 15927, 337, 264, 7346, 294, 10397, 1422, 15927, 331, 263, 1422, 2765, 346, 272, 1606, 2410, 273, 348, 1422, 15927, 337, 14587, 269, 2330, 6333, 519, 4645, 3961, 267, 6695, 2765, 346, 1422, 7562, 3287, 264, 1341, 1422, 7562, 12169, 264, 476, 7346, 7562, 3287, 20742, 14587, 1341, 476, 272, 815, 1422, 2765, 346, 273, 315, 6523, 1422, 15927, 331, 7268, 2765, 12757, 2410, 273, 348, 1422, 15927, 337, 264, 1422, 6523, 1422, 15927, 331, 263, 1422, 2765, 26635, 2410, 273, 348, 1422, 15927, 337, 264, 7346, 6523, 1422, 15927, 331, 263, 1422, 2765, 12757, 20742, 2410, 273, 348, 1422, 15927, 337, 264, 9574, 2330, 799, 568, 2653, 2614, 547, 13182, 630, 663, 568, 13735, 1472, 538, 519, 6169, 2907, 1040, 1403, 649, 1491, 1269, 343, 7807, 7032, 513, 259, 543, 1269, 344, 7807, 7032, 536, 259, 543, 9062, 713, 3961, 676, 4399, 2765, 3189, 294, 10397, 5416, 9385, 294, 10397, 6357, 264, 7346, 294, 10397, 5416, 17070, 264, 20954, 1287, 519, 3105, 4399, 294, 10397, 27572, 10818, 9163, 6556, 20917, 781, 4542, 780, 3383, 594, 9289, 875, 2653, 621, 1131, 581, 547, 946, 1634, 4645, 9163, 547, 3132, 3606, 12596, 540, 713, 1826, 267, 2161, 609, 1114, 32159, 267, 543, 1934, 568, 606, 1383, 269, 11088, 1210, 519, 8086, 543, 8691, 12596, 267, 596, 666, 1397, 602, 6695, 294, 10397, 4433, 9385, 15927, 6921 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28747, 267, 2450, 267, 5119, 994, 825, 2132, 5119, 7531, 3698, 1039, 318, 1278, 318, 30672, 318, 4148, 698, 263, 9795, 2187, 825, 5727, 300, 597, 2928, 8086, 27969, 454, 825, 585, 7329, 343, 267, 18351, 538, 26246, 263, 9795, 2187, 1038, 5119, 314, 30915, 316, 6834, 5119, 314, 30915, 6012, 15311, 268, 272, 2639, 825, 5119, 6834, 5119, 11468, 18737, 272, 2639, 825, 2132, 5119, 7531, 3698, 2721, 10734, 7451, 263, 9795, 267, 2450, 2187, 825, 5727, 289, 7451, 616, 6537, 269, 3689, 1283, 1287, 2427, 27969, 454, 825, 585, 1775, 538, 2039, 17301, 4433, 1125, 265, 272, 269, 276, 266, 272, 15892, 1038, 5119, 314, 271, 6012, 328, 316, 815, 1412, 258, 7055, 825, 585, 1775, 538, 2039, 17301, 4433, 1125, 266, 272, 15892, 1038, 5119, 5157, 6012, 271, 316, 815, 1412, 258, 7055, 825, 2132, 5119, 7531, 3698, 2721, 13448, 318, 5658, 518, 17635, 267, 554, 267, 2450, 267, 5119, 2187, 825, 5727, 19352, 532, 1412, 343, 262, 12508, 27969, 454, 825, 3259, 815, 703, 4433, 1125, 270, 273, 994, 825, 1293, 815, 476, 271, 454, 825, 15558, 14729, 267, 15558, 13448, 815, 476, 271, 267, 703, 4433, 1125, 270, 273, 9984, 272, 454, 825, 1247, 1293, 2999, 3259, 912, 1038, 5119, 314, 341, 11325, 3553, 14729, 6012, 327, 11325, 3553, 13448, 316, 815, 1412, 343, 7055, 1038, 15558, 14729, 6834, 476, 272, 454, 1038, 15558, 13448, 20699, 476, 272, 454, 1038, 1293, 6834, 476, 272, 454, 825, 2132, 5119, 7531, 3698, 2721, 318, 334, 318, 5658, 518, 17635, 267, 554, 267, 2450, 267, 5119, 2187, 825, 5727, 19352, 532, 1412, 334, 262, 12508, 27969, 454, 825, 585, 512, 538, 2039, 263, 272, 267, 703, 4433, 1125, 270, 273, 15892, 1038, 3259, 815, 703, 4433, 1125, 270, 273, 9984, 339, 454, 1038, 1293, 815, 476, 271, 454, 1038, 15558, 14729, 267, 15558, 13448, 815, 476, 271, 267, 703, 4433, 1125, 270, 273, 9984, 272, 2389, 454, 1038, 1247, 1293, 2999, 3259, 912, 2018, 5119, 314, 341, 11325, 3553, 14729, 6012, 327, 11325, 3553, 13448, 316, 815, 1412, 334, 7055, 2018, 15558, 14729, 6834, 476, 272, 454, 2018, 15558, 13448, 20699, 476, 272, 454, 2018, 1293, 6834, 476, 272, 454, 825, 2132, 5119, 7531, 3698, 5569, 318, 16059, 263, 9795, 2187, 825, 5727, 306, 17532, 1899, 3977, 27969, 454, 825, 5569, 815, 1412, 7055, 825, 585, 18351, 538, 5119, 912, 1038, 5569, 6834, 1412, 8339, 21860, 6025, 7505, 264, 1341, 1412, 315, 333, 7055, 825, 2132, 5569, 25331, 29328, 28361, 333, 262, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2415, 815, 19523, 27769, 341, 314, 272, 2639, 825, 1820, 263, 4148, 698, 263, 1173, 4917, 0, 5035, 11202, 912, 825, 5727, 26073, 1362, 2870, 513, 2619, 689, 519, 1376, 547, 1439, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 1376, 4671, 850, 267, 1439, 4671, 850, 2187, 1038, 1582, 269, 11034, 815, 1376, 4671, 850, 454, 1038, 1582, 269, 754, 815, 1439, 4671, 850, 692, 1038, 1948, 4756, 13936, 952, 713, 2619, 568, 2347, 454, 1038, 1582, 2593, 10968, 815, 8771, 692, 1038, 1948, 4259, 22739, 6724, 585, 3308, 5314, 454, 1038, 1582, 269, 11034, 269, 11034, 815, 6936, 454, 1038, 1582, 269, 754, 269, 754, 815, 6936, 692, 1038, 1948, 1210, 812, 21908, 3845, 585, 3845, 1063, 17981, 454, 1038, 3845, 815, 1582, 269, 754, 269, 6570, 910, 1582, 269, 11034, 269, 6570, 454, 1038, 3845, 815, 2612, 5560, 2700, 314, 271, 8079, 1341, 2612, 5560, 2700, 314, 272, 7481, 1038, 1582, 269, 11034, 269, 652, 13846, 6831, 739, 815, 3845, 692, 1038, 1948, 6806, 543, 1930, 1592, 585, 589, 265, 2619, 4466, 616, 454, 1038, 1948, 3355, 2213, 609, 1175, 519, 1376, 22739, 454, 1038, 1582, 17085, 2216, 8217, 815, 11713, 1038, 1582, 269, 13449, 8217, 815, 1496, 1345, 269, 11034, 6540, 825, 1219, 2619, 6958, 4193, 14067, 788, 4311, 2187, 1038, 952, 1582, 2593, 10968, 912, 2018, 2132, 6936, 692, 1038, 1948, 952, 519, 1930, 1592, 568, 8900, 267, 649, 616, 2944, 267, 855, 723, 711, 1336, 513, 3070, 454, 1038, 952, 7003, 4311, 269, 13449, 8217, 264, 2999, 476, 272, 912, 2018, 1582, 2593, 10968, 815, 6936, 454, 2018, 2132, 6936, 692, 1038, 1948, 23037, 519, 1930, 1592, 547, 23074, 519, 1655, 6221, 454, 1038, 1582, 269, 13449, 8217, 815, 15044, 4311, 269, 13449, 8217, 267, 1883, 284, 14433, 22739, 281, 22739, 10947, 23962, 15405, 1038, 1655, 4671, 850, 815, 1582, 269, 13449, 8217, 21014, 263, 271, 2020, 1038, 1948, 952, 649, 723, 6603, 519, 1439, 267, 649, 616, 2944, 543, 1336, 513, 3070, 454, 1038, 1948, 1284, 1631, 723, 519, 2898, 2619, 454, 1038, 952, 1655, 4671, 850, 568, 1582, 269, 754, 912, 2018, 1655, 4671, 850, 15630, 318, 553, 24786, 4590, 2018, 1582, 2593, 10968, 815, 6936, 454, 2018, 2132, 6936, 692, 1038, 1948, 9273, 616, 5340, 585, 1655, 22739, 543, 621, 568, 849, 6806, 543, 2944, 454, 1038, 1582, 17085, 2216, 8217, 6910, 6357, 652, 4671, 850, 994, 1038, 1655, 4671, 850, 17085, 2216, 815, 6936, 454, 1038, 7470, 815, 1655, 4671, 850, 26942, 454, 1038, 1948, 9273, 616, 2944, 585, 782, 30256, 540, 519, 22739, 454, 1038, 585, 16705, 9078, 6327, 538, 1655, 4671, 850, 269, 31371, 321, 2293, 912, 2018, 16705, 815, 7470, 10947, 4671, 850, 263, 31371, 13118, 9078, 6327, 994, 2018, 1948, 952, 519, 16705, 568, 2907, 6806, 267, 649, 11716, 621, 454, 2018, 952, 16705, 538, 1582, 17085, 2216, 8217, 610, 16705, 9884, 1779, 762, 2652, 8771, 912, 3546, 1780, 454, 2018, 8640, 16705, 538, 1582, 269, 13449, 8217, 912, 3546, 1948, 2418, 616, 8242, 585, 519, 16705, 267, 713, 2882, 973, 531, 27218, 540, 519, 22739, 3790, 454, 3546, 16705, 269, 26303, 6831, 739, 6357, 652, 4671, 850, 994, 2018, 3116, 912, 3546, 1948, 2418, 616, 7229, 585, 519, 1101, 942, 585, 713, 16705, 454, 3546, 16705, 15630, 318, 30976, 6831, 739, 6357, 652, 4671, 850, 267, 1582, 269, 754, 269, 6570, 2020, 3546, 1582, 269, 13449, 8217, 6910, 263, 31371, 13118, 994, 3546, 16705, 269, 13449, 815, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 1265, 318, 14814, 24786, 4311, 2187, 1038, 1948, 1599, 3274, 22589, 1265, 2619, 2394, 621, 781, 2944, 454, 1038, 1247, 1582, 29624, 6958, 4193, 14067, 788, 3890, 568, 8771, 912, 2018, 1780, 7531, 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 4351, 454, 5814, 19523, 454, 5814, 942, 692, 3698, 16937, 263, 11034, 272, 267, 1439, 272, 267, 1376, 273, 267, 1439, 273, 2187, 825, 1948, 1210, 713, 6296, 547, 2638, 952, 1079, 3515, 16937, 269, 12708, 952, 789, 454, 825, 1948, 12969, 543, 616, 593, 519, 1482, 4737, 630, 1817, 714, 7267, 264, 610, 6241, 630, 3200, 673, 994, 825, 1948, 1287, 789, 16937, 454, 825, 2132, 630, 754, 272, 13843, 1376, 273, 264, 543, 630, 754, 273, 13843, 1376, 272, 2020, 3698, 4717, 10031, 825, 1948, 10081, 5352, 4351, 10974, 267, 3259, 543, 1599, 454, 825, 1948, 1599, 1797, 8880, 267, 7299, 610, 15497, 1297, 3406, 454, 825, 1535, 815, 4351, 27110, 263, 271, 267, 1626, 264, 567, 1948, 4737, 454, 825, 586, 815, 4351, 27110, 263, 271, 267, 1626, 264, 567, 1948, 6241, 454, 825, 535, 815, 4351, 27110, 263, 272, 267, 274, 264, 825, 1948, 1599, 454, 825, 561, 815, 4351, 27110, 263, 276, 267, 280, 264, 825, 1948, 3259, 692, 825, 952, 535, 2652, 476, 272, 281, 1948, 8880, 7154, 454, 1038, 952, 630, 344, 266, 331, 13843, 476, 1704, 2187, 2018, 546, 815, 476, 273, 454, 1038, 8640, 630, 344, 2000, 2999, 476, 271, 2187, 2018, 546, 815, 476, 272, 454, 1038, 3116, 912, 2018, 546, 815, 4351, 27110, 263, 272, 267, 273, 994, 825, 8640, 535, 2652, 476, 273, 281, 1948, 7299, 7154, 454, 1038, 952, 630, 343, 266, 331, 13843, 476, 1704, 2187, 2018, 546, 815, 476, 273, 454, 1038, 8640, 630, 343, 2000, 2999, 476, 271, 2187, 2018, 546, 815, 476, 272, 454, 1038, 3116, 912, 2018, 546, 815, 4351, 27110, 263, 272, 267, 273, 994, 825, 8640, 535, 2652, 476, 274, 281, 1948, 15497, 7154, 454, 1038, 952, 630, 343, 266, 331, 13843, 476, 1704, 264, 543, 630, 344, 2000, 2999, 476, 271, 2567, 476, 1948, 991, 547, 3406, 909, 28878, 454, 2018, 546, 815, 476, 272, 454, 1038, 8640, 630, 343, 266, 331, 13843, 476, 1704, 264, 543, 630, 344, 266, 331, 13843, 476, 1704, 2567, 825, 1948, 991, 547, 3406, 909, 268, 3847, 454, 2018, 546, 815, 476, 273, 454, 1038, 8640, 630, 343, 2000, 2999, 476, 271, 264, 543, 630, 344, 2000, 2999, 476, 271, 2567, 476, 1948, 991, 547, 3406, 1524, 28878, 454, 2018, 546, 815, 476, 274, 454, 1038, 8640, 630, 343, 2000, 2999, 476, 271, 264, 543, 630, 344, 266, 331, 13843, 476, 1704, 2567, 672, 1948, 991, 547, 3406, 1524, 268, 3847, 454, 2018, 546, 815, 476, 275, 454, 1038, 8640, 630, 343, 266, 331, 10922, 476, 1626, 543, 1535, 2000, 13843, 271, 264, 543, 630, 344, 2000, 2999, 476, 271, 2187, 2018, 546, 815, 4351, 26716, 4069, 8443, 272, 267, 274, 7481, 1038, 8640, 630, 343, 266, 331, 10922, 476, 1626, 543, 1535, 2000, 13843, 271, 264, 543, 630, 344, 266, 331, 13843, 476, 1704, 2187, 2018, 546, 815, 4351, 26716, 4069, 8443, 273, 267, 275, 7481, 1038, 8640, 630, 343, 2000, 2999, 476, 271, 264, 543, 630, 344, 266, 331, 10922, 476, 1626, 543, 586, 2000, 13843, 271, 2187, 2018, 546, 815, 4351, 26716, 4069, 8443, 274, 267, 275, 7481, 1038, 8640, 630, 343, 266, 331, 13843, 476, 1704, 264, 543, 630, 344, 266, 331, 10922, 476, 1626, 543, 586, 2000, 13843, 271, 2187, 2018, 546, 815, 4351, 26716, 4069, 8443, 272, 267, 273, 7481, 1038, 3116, 912, 2018, 546, 815, 4351, 27110, 263, 272, 267, 275, 994, 825, 3116, 912, 1038, 1780, 454, 825, 2132, 1535, 11971, 267, 325, 267, 331, 28504, 692, 3698, 1265, 5332, 3518, 9852, 21726, 11971, 267, 325, 267, 331, 28504, 2187, 825, 1948, 713, 6296, 9060, 519, 1297, 3406, 538, 519, 5119, 543, 7024, 602, 1297, 454, 825, 1948, 1759, 593, 546, 649, 917, 2901, 8880, 267, 7299, 267, 610, 15497, 692, 825, 1948, 1820, 9497, 260, 338, 4939, 338, 4939, 338, 4939, 338, 4939, 338, 257, 4939, 630, 343, 11971, 267, 325, 267, 331, 28504, 11723, 825, 562, 17342, 2639, 825, 585, 1775, 538, 2039, 630, 331, 2187, 1038, 952, 535, 2652, 476, 272, 543, 546, 2652, 476, 272, 281, 1948, 8880, 7154, 454, 2018, 562, 6910, 9852, 20572, 6012, 344, 266, 328, 8079, 567, 1948, 1318, 692, 1038, 952, 535, 2652, 476, 272, 543, 546, 2652, 476, 273, 912, 2018, 562, 6910, 9852, 20572, 6012, 344, 25829, 8079, 567, 1948, 2451, 692, 1038, 952, 535, 2652, 476, 273, 543, 546, 2652, 476, 272, 281, 1948, 7299, 7154, 454, 2018, 562, 6910, 9852, 20572, 266, 328, 6012, 344, 8079, 567, 1948, 1524, 692, 1038, 952, 535, 2652, 476, 273, 543, 546, 2652, 476, 273, 912, 2018, 562, 6910, 9852, 20572, 25829, 6012, 344, 8079, 567, 1948, 909, 692, 1038, 952, 535, 2652, 476, 274, 543, 546, 2652, 476, 272, 281, 1948, 15497, 7154, 454, 2018, 562, 6910, 9852, 20572, 25829, 6012, 344, 266, 328, 8079, 476, 1948, 909, 28878, 454, 1038, 8640, 535, 2652, 476, 274, 543, 546, 2652, 476, 273, 912, 2018, 562, 6910, 9852, 20572, 25829, 6012, 344, 25829, 8079, 476, 1948, 909, 268, 3847, 454, 1038, 8640, 535, 2652, 476, 274, 543, 546, 2652, 476, 274, 912, 2018, 562, 6910, 9852, 20572, 266, 328, 6012, 344, 266, 328, 8079, 476, 1948, 1524, 28878, 454, 1038, 8640, 535, 2652, 476, 274, 543, 546, 2652, 476, 275, 912, 2018, 562, 6910, 9852, 20572, 266, 328, 6012, 344, 25829, 8079, 476, 1948, 9419, 321, 268, 3847, 454, 1038, 3116, 912, 2018, 1780, 454, 825, 2132, 562, 692, 258, 16814, 18316, 568, 519, 3977, 16814, 3758, 454, 6255, 6447, 18316, 815, 834, 15893, 318, 14142, 7272, 340, 14794, 11258, 5016, 9795, 267, 1267, 267, 546, 1575, 8217, 267, 3688, 267, 15381, 815, 8443, 316, 585, 1775, 538, 2039, 630, 276, 4917, 24863, 272, 267, 24863, 273, 267, 341, 323, 272, 267, 341, 323, 273, 267, 9536, 272, 267, 9536, 273, 267, 9536, 274, 267, 9536, 275, 284, 8443, 316, 585, 1775, 538, 2039, 263, 279, 4917, 9795, 7272, 340, 3960, 284, 3269, 454, 11133, 1499, 7272, 340, 3960, 284, 3269, 454, 6570, 318, 5228, 4671, 641, 815, 476, 3199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 758, 1149, 543, 17727, 4157, 1149, 267, 971, 607, 14889, 268, 275, 267, 14889, 268, 1724, 543, 14889, 268, 1015, 3812, 676, 10510, 22467, 7992, 9726, 14231, 630, 2316, 299, 338, 1040, 634, 8545, 3895, 15285, 540, 31457, 2509, 606, 631, 273, 26737, 1547, 589, 1164, 5223, 540, 703, 7806, 636, 7394, 631, 273, 31457, 568, 513, 2942, 1322, 333, 8251, 3815, 538, 13423, 515, 2993, 1355, 12463, 300, 1547, 13216, 570, 1591, 22467, 6233, 616, 3622, 1336, 269, 3733, 601, 1355, 23402, 16401, 528, 2281, 630, 300, 9169, 12336, 264, 7131, 3451, 543, 7131, 1556, 321, 2318, 16578, 570, 2958, 338, 543, 3132, 6491, 878, 12547, 543, 2415, 514, 848, 267, 3056, 547, 2530, 540, 1599, 540, 7131, 275, 266, 543, 7131, 279, 266, 570, 2281, 1547, 901, 6375, 657, 6269, 4809, 2113, 24586, 6038, 8992, 4761, 9101, 267, 10510, 2208, 267, 12289, 543, 2587, 328, 14003, 1547, 14451, 2157, 540, 570, 6579, 338, 723, 1044, 2404, 609, 1732, 6668, 538, 12463, 300, 269, 25408, 267, 2338, 540, 7131, 3393, 266, 32151, 14231, 941, 2799, 538, 1875, 268, 788, 30965, 2993, 1355, 8544, 32196, 3379, 547, 13423, 515, 2993, 1355, 3283, 543, 3100, 547, 581, 2404, 609, 8338, 3210, 547, 18068, 1547, 14451, 6824, 540, 29332, 311, 303, 274, 266, 630, 293, 1251, 3650, 1630, 311, 623, 274, 8358, 7374, 275, 266, 570, 2958, 338, 723, 1044, 4080, 538, 12463, 300, 267, 1312, 18068, 1790, 4958, 8972, 543, 15860, 543, 568, 2404, 547, 8338, 23567, 1547, 769, 2489, 267, 19113, 6441, 272, 25698, 2281, 616, 10636, 10942, 3585, 1459, 538, 12463, 300, 267, 1373, 19113, 6441, 272, 4082, 2362, 538, 1875, 268, 788, 30965, 2993, 1355, 8544, 32196, 3379, 547, 13423, 515, 2993, 1355, 8544, 32196, 1547, 2598, 4167, 532, 519, 3601, 540, 891, 12982, 2281, 1369, 12970, 786, 1683, 3152, 4030, 883, 519, 6375, 11043, 6127, 540, 3210, 543, 4187, 547, 6375, 8839, 538, 713, 2068, 269, 21220, 611, 543, 9164, 4951, 267, 676, 7311, 2095, 11118, 5852, 547, 21656, 476, 6246, 1191, 551, 539, 12463, 300, 15013, 267, 3982, 6375, 11043, 4307, 8040, 538, 19113, 6441, 272, 1700, 27168, 12970, 607, 3379, 609, 19113, 6441, 272, 1700, 17463, 3283, 267, 543, 538, 32646, 1260, 520, 1355, 11486, 13023, 553, 545, 12970, 5288, 13423, 515, 2993, 1355, 3283, 269, 14627, 4293, 540, 570, 2281, 538, 519, 476, 4343, 1790, 520, 1304, 20165, 941, 3810, 4756, 267, 855, 4951, 513, 2147, 15285, 4567, 543, 10408, 5888, 267, 1519, 513, 5266, 1164, 6871, 540, 7131, 275, 266, 570, 2281, 602, 6829, 29332, 311, 303, 274, 630, 349, 736, 22103, 769, 1469, 789, 1336, 602, 19113, 6441, 272, 1700, 27168, 543, 32646, 1260, 520, 1355, 11486, 13023, 553, 545, 12970, 723, 513, 3648, 3152, 8167, 540, 22467, 7992, 570, 2281, 982, 19113, 6441, 272, 24308, 543, 13423, 515, 2993, 1355, 12970, 267, 6606, 1547, 19113, 6441, 272, 25698, 12970, 849, 1397, 1713, 4679, 538, 570, 16052, 18735, 543, 11852, 267, 2059, 609, 1713, 4679, 538, 570, 2958, 338, 543, 4082, 540, 570, 16052, 2987, 3031, 7480, 12508, 267, 971, 607, 29376, 268, 274, 630, 570, 1591, 6375, 15644, 6081, 6389, 543, 11940, 514, 6389, 910, 274, 1040, 634, 960, 676, 28822, 2086, 1846, 320, 1696, 620, 269, 6905, 519, 4681, 676, 7421, 4195, 10510, 543, 1973, 5439, 540, 476, 2420, 12463, 300, 2665, 543, 7152, 1164, 2157, 540, 519, 7409, 7480, 13805, 570, 5456, 3951, 630, 307, 1591, 6375, 648, 1061, 528, 609, 16384, 543, 594, 2316, 300, 11890, 264, 630, 349, 2568, 15992, 7131, 4375, 630, 349, 736, 15992, 543, 11632, 6369, 275, 630, 290, 12682, 25570, 570, 6441, 8233, 22889, 4165, 3394, 476, 275, 264, 630, 349, 1839, 8472, 1547, 15788, 267, 789, 1336, 602, 12463, 300, 570, 6579, 338, 941, 9846, 3834, 1993, 23341, 267, 5631, 2404, 609, 2362, 2338, 540, 7131, 275, 9431, 570, 2958, 338, 543, 609, 4082, 540, 570, 5456, 3951, 269, 4014, 519, 570, 6579, 338, 4951, 25144, 1164, 2157, 540, 22270, 710, 2504, 269, 634, 9645, 6375, 641, 1156, 28437, 13260, 568, 17396, 547, 519, 4756, 6114, 5833, 538, 12463, 300, 676, 19113, 6441, 272, 20127, 2073, 4352, 824, 2188, 616, 3238, 281, 1775, 264, 519, 11606, 540, 22467, 7992, 9726, 14231, 282, 13797, 264, 1071, 22325, 540, 2789, 7409, 7480, 13364, 593, 570, 2281, 282, 25831, 264, 519, 3310, 540, 631, 9169, 12336, 543, 10510, 23938, 31457, 4586, 15239, 29554, 3800, 616, 4947, 547, 519, 2627, 543, 4125, 519, 2079, 540, 1585, 16796, 5946, 1210, 513, 476, 1724, 3491, 12888, 29976, 607, 1134, 607, 14350, 3168, 585, 19729, 8544, 582, 3559, 514, 5829, 30902, 630, 15551, 14641, 1070, 8544, 582, 3559, 514, 267, 4017, 6081, 268, 274, 543, 2890, 7304, 18456, 538, 519, 11919, 269, 634, 8417, 543, 23506, 540, 15382, 14641, 19072, 525, 582, 3559, 514, 814, 1044, 23503, 538, 519, 3332, 855, 1034, 2090, 3100, 547, 2303, 602, 8417, 543, 23506, 616, 1390, 2614, 547, 1118, 873, 11807, 12508, 540, 10510, 11411, 282, 789, 849, 30136, 609, 2068, 10335, 607, 789, 2461, 1034, 11506, 538, 3735, 2068, 2829, 1547, 4635, 519, 20405, 5510, 268, 3433, 3525, 1881, 589, 696, 600, 619, 630, 306, 6865, 288, 9984, 2675, 534, 2926, 5669, 22368, 267, 513, 3810, 6213, 11134, 476, 1724, 1532, 328, 558, 1046, 518, 8470, 729, 4362, 543, 24019, 630, 517, 476, 14056, 12463, 300, 5439, 543, 476, 16318, 20702, 7721, 12723, 1852, 2043, 264, 585, 519, 7020, 540, 12463, 300, 538, 519, 20702, 7721, 12723, 2551, 609, 606, 6111, 540, 476, 10844, 260, 543, 7020, 540, 476, 6434, 260, 540, 8609, 594, 543, 4083, 2068, 1547, 763, 476, 1724, 3491, 12888, 29976, 3096, 2110, 12415, 540, 5027, 6438, 6675, 602, 666, 12622, 547, 7636, 9072, 543, 7001, 1585, 12982, 543, 7139, 11717, 894, 5946, 1336, 538, 519, 16796, 950, 513, 3461, 568, 2318, 585, 8544, 32196, 269, 901, 1505, 814, 9621, 2164, 543, 1761, 28252, 538, 13178, 543, 5868, 540, 12463, 300, 538, 1346, 5396, 693, 5207, 1981, 585, 519, 2068, 267, 855, 621, 814, 1869, 711, 1044, 24019, 585, 5868, 269, 17316, 6081, 268, 274, 568, 606, 5393, 6213, 543, 1808, 15262, 1336, 538, 519, 11919, 543, 538, 5418, 1116, 2498, 4288, 5714, 602, 666, 2697, 2550, 609, 8544, 32196, 689, 1346, 1510, 621, 1547, 27777, 641, 2632, 514, 630, 8008, 301, 264, 568, 513, 9848, 19817, 4710, 514, 1634, 547, 581, 21467, 343, 335, 5962, 538, 1896, 1480, 11871, 269, 21452, 267, 1164, 21883, 2157, 540, 744, 14149, 723, 1044, 9571, 538, 5439, 689, 476, 6321, 12463, 300, 2550, 543, 16796, 744, 14149, 1377, 949, 957, 607, 3730, 10368, 15262, 585, 12463, 300, 2550, 1547, 2859, 5063, 267, 519, 4082, 540, 2634, 23402, 5778, 339, 13116, 3815, 630, 9720, 22143, 1070, 513, 5778, 339, 5268, 514, 267, 814, 1044, 7152, 538, 12463, 300, 269, 769, 1469, 1164, 30183, 22143, 4082, 267, 693, 519, 22328, 1377, 723, 1044, 4080, 538, 12970, 543, 693, 519, 3940, 1377, 538, 5418, 1116, 2498, 16272, 630, 14154, 1070, 3976, 4742, 607, 513, 3209, 1808, 10689, 5658, 540, 12463, 300, 5439, 269, 25408, 267, 1164, 30183, 22143, 5444, 4082, 543, 18027, 5834, 941, 16762, 540, 10156, 12463, 300, 3461, 6668, 538, 513, 20165, 540, 476, 8064, 12463, 300, 10510, 5439, 543, 476, 2918, 3339, 5418, 3120, 269, 5047, 267, 30183, 22143, 11852, 568, 26582, 538, 519, 18027, 14001, 2587, 328, 14003, 281, 713, 8343, 814, 5732, 2178, 4791, 29943, 543, 7028, 24117, 540, 13389, 2587, 328, 14003, 538, 12463, 300, 1547, 19449, 1529, 908, 1591, 6954, 10717, 630, 300, 597, 11748, 264, 15998, 1522, 4196, 607, 31036, 538, 1896, 3676, 269, 10738, 2463, 547, 12463, 300, 267, 519, 21007, 305, 268, 27698, 268, 274, 335, 814, 1044, 1336, 538, 519, 16796, 799, 814, 1164, 6617, 543, 3976, 1164, 10368, 1761, 538, 513, 20165, 540, 476, 1428, 12463, 300, 5439, 20083, 609, 476, 1691, 3339, 2665, 267, 4365, 519, 15418, 20165, 729, 3989, 676, 476, 1789, 12463, 300, 543, 476, 1015, 607, 12895, 2670, 2665, 267, 6606, 269, 4706, 946, 607, 513, 1808, 543, 6213, 10368, 15262, 568, 1869, 896, 7634, 269, 1452, 12508, 267, 2059, 609, 22308, 1239, 267, 607, 5018, 1354, 267, 616, 17766, 1769, 593, 519, 7872, 540, 1007, 28944, 543, 10368, 2409, 269, 0, 1692, 543, 1946, 1705, 519, 5053, 6406, 2782, 21074, 888, 1432, 1909, 1705, 519, 2101, 7060, 540, 2342, 1404, 585, 1312, 519, 14081, 534, 543, 3084, 5011, 888, 763, 1101, 2376, 6811, 602, 519, 5053, 6406, 2782, 1185, 513, 1713, 1198, 593, 519, 7262, 6857, 1107, 875, 1131, 596, 2303, 602, 568, 519, 2013, 888, 1692, 1281, 2107, 6202, 779, 295, 558, 720, 547, 18280, 8205, 7257, 538, 547, 602, 3210, 314, 1492, 2112, 1185, 606, 1764, 593, 30921, 316, 888, 1432, 6589, 585, 519, 14081, 534, 2530, 543, 28929, 11802, 888, 2710, 596, 991, 513, 2147, 7084, 2944, 585, 596, 689, 15072, 286, 1284, 723, 11727, 5830, 547, 948, 596, 269, 1284, 26924, 596, 606, 589, 266, 2298, 1957, 602, 568, 1863, 689, 17096, 269, 11352, 1631, 585, 606, 29055, 5494, 870, 256, 2422, 5494, 870, 8943, 968, 6124, 743, 1304, 892, 585, 513, 476, 1428, 260, 5494, 870, 256, 301, 289, 281, 1284, 798, 711, 1191, 961, 4574, 269, 16270, 19280, 267, 649, 798, 606, 3312, 1957, 14311, 585, 596, 563, 763, 2022, 1215, 543, 1946, 1705, 519, 5053, 6406, 2782, 21074, 1603, 6780, 948, 7902, 1101, 593, 16711, 19536, 16735, 269, 0, 291, 541, 7773, 1143, 568, 8149, 547, 4720, 8345, 7930, 267, 835, 1900, 693, 513, 942, 267, 676, 2582, 4573, 1049, 2242, 563, 3963, 723, 594, 1175, 8854, 998, 713, 3635, 609, 519, 476, 1911, 8820, 15768, 5409, 322, 4209, 267, 4758, 621, 519, 2407, 3950, 476, 273, 1395, 1399, 286, 5565, 4128, 563, 289, 3663, 569, 18953, 593, 519, 9510, 513, 14094, 641, 30965, 322, 710, 8093, 15693, 2479, 1336, 267, 689, 476, 274, 269, 279, 2929, 1296, 3516, 563, 305, 826, 1375, 518, 568, 519, 1268, 762, 1007, 10995, 1374, 968, 1410, 21622, 518, 892, 4171, 7044, 1491, 606, 1935, 2147, 547, 16679, 9142, 779, 267, 855, 1732, 563, 293, 558, 519, 29459, 540, 12170, 2257, 267, 4797, 6811, 602, 519, 2963, 585, 4720, 568, 968, 514, 4186, 549, 3200, 1043, 892, 1522, 581, 1732, 17941, 835, 1279, 1025, 4428, 269, 0, 12812, 12575, 538, 519, 10624, 3046, 543, 1847, 707, 23684, 547, 1265, 269, 1284, 8359, 7601, 30066, 607, 519, 10682, 13944, 563, 27087, 519, 2450, 540, 519, 13944, 585, 9102, 4967, 563, 27087, 782, 23935, 538, 32029, 5672, 269, 10738, 519, 13472, 267, 2824, 782, 519, 1257, 11149, 269, 3371, 568, 519, 2407, 1592, 540, 23935, 609, 12744, 338, 602, 616, 9516, 1062, 23935, 596, 666, 946, 538, 707, 32029, 6881, 14121, 6374, 622, 1510, 2348, 547, 5855, 827, 707, 13944, 711, 6029, 610, 15205, 5265, 269, 4039, 320, 4875, 32029, 543, 556, 13449, 707, 10959, 3758, 563, 21156, 267, 946, 519, 5372, 23935, 13972, 4216, 630, 10440, 519, 13944, 1680, 518, 4971, 264, 547, 3432, 909, 519, 1184, 269, 3245, 519, 968, 24610, 892, 9184, 593, 519, 26781, 3046, 267, 4945, 519, 15561, 1985, 547, 519, 968, 516, 2897, 892, 7735, 269, 7827, 513, 15942, 6011, 13944, 2511, 593, 5672, 563, 293, 2632, 5697, 547, 5372, 519, 4540, 13944, 282, 634, 1907, 666, 581, 1336, 538, 513, 1114, 1747, 593, 519, 1114, 8747, 540, 32029, 269, 12305, 532, 513, 2688, 13944, 538, 5672, 563, 2414, 3888, 513, 13944, 538, 519, 2780, 1895, 267, 1930, 707, 13944, 1433, 630, 1492, 9949, 15259, 343, 813, 602, 21314, 23935, 264, 543, 8749, 519, 6119, 883, 519, 2780, 3296, 538, 519, 269, 8564, 519, 13944, 596, 1616, 547, 946, 585, 782, 519, 15942, 538, 519, 6881, 269, 7994, 21160, 23935, 693, 519, 5377, 540, 519, 10624, 547, 2824, 707, 1378, 23935, 563, 2691, 596, 723, 8704, 782, 519, 2838, 2688, 13944, 6119, 607, 1657, 267, 596, 1058, 1294, 707, 10959, 538, 922, 3020, 5898, 9462, 30904, 269, 1403, 596, 1376, 32029, 543, 1810, 1406, 1294, 968, 1575, 323, 908, 23935, 892, 538, 519, 10943, 1662, 5496, 267, 596, 4076, 14406, 513, 1900, 269, 12305, 782, 519, 13944, 6119, 8659, 3330, 540, 707, 4647, 10189, 1900, 476, 275, 563, 17442, 4875, 13944, 1433, 630, 13449, 3156, 17835, 538, 1265, 518, 267, 1265, 543, 10131, 13944, 1433, 269, 1952, 264, 2824, 782, 23935, 689, 519, 2451, 2865, 533, 2033, 269, 769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13450, 543, 17205, 568, 711, 607, 1390, 607, 621, 568, 538, 2296, 267, 609, 1644, 13450, 543, 17205, 1419, 2348, 519, 1482, 3597, 269, 715, 10494, 538, 12355, 616, 2356, 2962, 1644, 269, 634, 12355, 6426, 4595, 519, 1603, 2326, 540, 519, 3504, 1261, 3691, 9749, 14016, 730, 1360, 6385, 609, 942, 267, 519, 3312, 12355, 22251, 723, 711, 15068, 269, 5455, 2394, 519, 6602, 540, 519, 16458, 7256, 2480, 2651, 338, 267, 519, 9510, 12377, 5627, 519, 2347, 12355, 6426, 630, 307, 523, 778, 264, 729, 519, 22176, 653, 334, 13798, 1410, 267, 849, 1572, 519, 16549, 648, 6776, 1257, 269, 898, 729, 2854, 538, 827, 476, 280, 1789, 5084, 269, 634, 16458, 7256, 2480, 2651, 338, 941, 4362, 1282, 519, 1974, 476, 3707, 277, 1107, 4198, 277, 538, 519, 23572, 540, 1627, 636, 3757, 4092, 827, 513, 13304, 689, 519, 22070, 13272, 540, 519, 16458, 7256, 269, 898, 568, 5156, 602, 1034, 540, 519, 22251, 4266, 689, 476, 1220, 1700, 3583, 7460, 269, 595, 2314, 1141, 16458, 7256, 2480, 2651, 338, 941, 4362, 634, 20801, 338, 2270, 2694, 540, 1169, 1433, 538, 519, 14210, 778, 4849, 6480, 615, 269, 634, 1152, 2347, 20801, 568, 519, 30037, 20801, 3254, 2630, 634, 16458, 7256, 2480, 2651, 338, 3858, 1360, 1134, 609, 519, 22176, 653, 334, 13798, 1410, 269, 634, 2101, 3017, 1373, 602, 519, 22176, 653, 334, 13798, 1410, 3568, 20262, 1448, 902, 602, 941, 711, 5189, 2394, 1310, 519, 24980, 269, 634, 4587, 22251, 1331, 1152, 19283, 1218, 269, 16458, 7256, 2480, 2651, 22176, 653, 334, 13798, 1410, 8109, 12411, 639, 5375, 23539, 3776, 1620, 540, 513, 1893, 568, 9244, 6766, 676, 938, 968, 16447, 1613, 892, 610, 6138, 269, 901, 5817, 23381, 11887, 875, 649, 1294, 543, 4766, 519, 1158, 1472, 721, 269, 1703, 616, 1079, 2101, 15523, 540, 6138, 543, 2219, 3157, 2443, 8109, 543, 5375, 269, 2353, 3504, 4529, 1131, 581, 9286, 607, 8109, 269, 5375, 6138, 729, 5189, 676, 519, 16380, 538, 519, 15795, 2540, 7460, 676, 971, 15806, 607, 24198, 267, 18573, 267, 543, 17127, 269, 5375, 610, 5259, 6138, 3262, 6385, 267, 543, 1631, 568, 1631, 8789, 538, 938, 1158, 269, 4014, 12355, 568, 9275, 538, 5840, 2221, 267, 7073, 12355, 2219, 568, 811, 5375, 982, 8109, 269, 1677, 1174, 519, 6196, 11620, 607, 519, 3312, 646, 31600, 1131, 723, 6956, 621, 267, 649, 991, 547, 581, 3222, 540, 875, 789, 2219, 827, 741, 1158, 269, 769, 519, 1739, 267, 649, 786, 1459, 930, 16198, 540, 8109, 543, 5375, 2081, 540, 3206, 269, 25674, 5288, 269, 853, 1738, 634, 16380, 22157, 547, 2070, 1689, 607, 3983, 269, 12085, 4043, 547, 14016, 622, 609, 942, 269, 4935, 267, 789, 22157, 547, 2070, 1272, 538, 2474, 540, 11979, 5961, 1454, 899, 513, 8523, 3144, 609, 513, 8254, 269, 634, 1261, 3691, 9749, 593, 519, 824, 1688, 22157, 547, 2070, 1272, 29858, 269, 1358, 4718, 519, 2104, 9797, 607, 606, 4316, 585, 1007, 20297, 269, 769, 2296, 267, 649, 1118, 513, 8325, 11984, 1063, 17205, 543, 13450, 269, 715, 10494, 3277, 547, 7606, 267, 4025, 267, 610, 1919, 269, 7638, 2125, 3277, 547, 3527, 269, 12355, 1281, 711, 1118, 713, 8325, 11984, 269, 4658, 543, 1919, 616, 2219, 540, 538, 2474, 540, 1018, 789, 798, 269, 1280, 1383, 267, 519, 1261, 3691, 9749, 1131, 711, 1589, 540, 2696, 538, 2474, 540, 4162, 971, 607, 9631, 30876, 582, 550, 610, 9631, 30876, 6974, 269, 5502, 267, 789, 1131, 1589, 540, 2696, 538, 2474, 540, 1018, 646, 568, 3257, 585, 873, 610, 1018, 646, 814, 2944, 585, 873, 267, 552, 3052, 269, 968, 763, 2696, 945, 4547, 721, 856, 540, 5527, 1848, 22493, 5288, 269, 17593, 634, 1893, 540, 519, 1261, 3691, 9749, 568, 513, 6405, 1893, 267, 2495, 602, 621, 3096, 1913, 602, 2769, 1945, 602, 666, 581, 2938, 267, 20109, 267, 1159, 8215, 267, 13820, 539, 610, 4862, 543, 782, 2947, 540, 519, 12823, 616, 1031, 950, 6340, 2073, 6217, 267, 1603, 543, 2542, 519, 12355, 1893, 269, 1323, 1383, 540, 713, 666, 581, 1336, 538, 25360, 916, 476, 272, 281, 274, 1261, 568, 899, 513, 3529, 12630, 676, 12535, 540, 1216, 267, 799, 11729, 922, 4829, 538, 4005, 267, 543, 4171, 6978, 1281, 711, 530, 2416, 269, 5259, 2219, 9388, 811, 609, 7493, 687, 543, 2489, 3074, 269, 6201, 540, 7493, 2219, 666, 581, 1336, 538, 25360, 916, 476, 9818, 281, 279, 634, 28789, 568, 17519, 543, 1178, 4109, 267, 3500, 547, 10845, 267, 705, 15929, 538, 2648, 269, 634, 2474, 968, 4818, 6842, 622, 5608, 968, 6588, 4109, 5608, 968, 9734, 5608, 543, 968, 331, 913, 892, 2099, 7493, 2035, 602, 3112, 581, 2938, 267, 20109, 267, 1159, 8215, 267, 13820, 539, 267, 610, 4862, 269, 1452, 2474, 941, 1031, 676, 519, 6037, 1807, 547, 1118, 713, 14235, 4443, 547, 1174, 676, 606, 2296, 6340, 5467, 269, 634, 12355, 1913, 1031, 538, 713, 14235, 941, 811, 6405, 269, 1280, 1383, 267, 519, 2262, 12261, 607, 10845, 2965, 4016, 547, 519, 9224, 538, 12355, 269, 1261, 3691, 9749, 2219, 540, 10845, 538, 2474, 540, 5230, 7244, 543, 513, 1166, 2130, 540, 519, 19911, 337, 2812, 269, 634, 1261, 3691, 9749, 941, 6157, 5827, 540, 7493, 2219, 267, 855, 621, 729, 2141, 13615, 547, 1945, 6405, 269, 2561, 30970, 5288, 269, 9577, 769, 5259, 2219, 267, 1919, 616, 4330, 676, 741, 5920, 267, 6466, 538, 12355, 2219, 1919, 616, 4330, 538, 2474, 540, 741, 1599, 269, 1280, 1383, 267, 513, 5259, 1589, 518, 1522, 4766, 513, 15513, 607, 5835, 267, 5111, 5722, 6279, 1279, 267, 543, 2348, 513, 9133, 693, 835, 1439, 269, 589, 12355, 1589, 518, 1131, 811, 2693, 4766, 621, 676, 968, 296, 2328, 609, 621, 1848, 5259, 11673, 1118, 5230, 946, 540, 21371, 971, 607, 5835, 543, 1279, 269, 12355, 11673, 2356, 4125, 13450, 811, 982, 21371, 269, 1403, 596, 1413, 693, 519, 6609, 540, 25424, 779, 818, 330, 538, 19606, 476, 277, 610, 519, 6609, 540, 519, 9184, 1716, 12386, 538, 31519, 476, 1839, 1700, 2918, 267, 596, 786, 1265, 602, 519, 5920, 568, 711, 2731, 4330, 267, 1152, 2679, 5528, 269, 9608, 5288, 269, 6764, 5966, 5259, 17024, 2356, 1589, 540, 3615, 607, 789, 1522, 2408, 547, 513, 1033, 3737, 20626, 13156, 873, 689, 519, 3544, 269, 12355, 17024, 2070, 3615, 538, 2474, 540, 875, 789, 1131, 1860, 873, 13948, 269, 4935, 267, 3079, 540, 7487, 6371, 607, 3039, 267, 789, 1131, 811, 2693, 1294, 621, 607, 1945, 789, 3049, 547, 741, 2831, 269, 4325, 27218, 5288, 269, 20504, 766, 634, 1261, 3691, 9749, 4769, 1406, 4043, 547, 1179, 3634, 827, 1919, 789, 4769, 1406, 1174, 269, 1280, 1383, 267, 519, 2165, 968, 9515, 565, 892, 568, 1031, 585, 519, 1747, 1141, 1004, 979, 950, 789, 5884, 269, 898, 729, 2760, 4330, 543, 729, 3622, 5701, 607, 1945, 7164, 269, 1358, 941, 8348, 547, 4734, 621, 693, 602, 269, 13332, 20603, 5288, 269, 5153, 20603, 5259, 7954, 9397, 3364, 1524, 883, 513, 19588, 540, 3268, 1141, 1142, 1900, 25401, 5205, 689, 519, 3105, 1900, 269, 634, 1261, 3691, 9749, 22157, 547, 1589, 538, 2474, 540, 4830, 7161, 540, 2833, 269, 634, 7161, 4769, 1406, 8209, 723, 1022, 6935, 547, 835, 1776, 2901, 25401, 610, 12225, 10999, 269, 901, 1826, 540, 3206, 666, 4749, 1291, 547, 32475, 269, 634, 1261, 3691, 9749, 4769, 1406, 3100, 547, 5855, 1454, 827, 32475, 269, 1358, 5156, 602, 1018, 789, 9228, 607, 32475, 1152, 10630, 741, 3668, 540, 796, 518, 9227, 540, 2696, 543, 1010, 2081, 269, 10837, 5288, 269, 7849, 3163, 5097, 9388, 609, 519, 1876, 6438, 2623, 540, 2621, 2864, 982, 1757, 566, 269, 1717, 267, 938, 2528, 1419, 14659, 540, 2470, 607, 519, 2014, 540, 2621, 269, 901, 1259, 540, 3206, 1131, 723, 1044, 4625, 4914, 547, 519, 3504, 1261, 3691, 9749, 269, 9147, 4529, 971, 607, 519, 1261, 3691, 9749, 22157, 547, 2070, 3388, 538, 2474, 540, 519, 16750, 269, 1677, 519, 12355, 267, 952, 1945, 1223, 711, 581, 9763, 607, 1813, 519, 2962, 540, 1776, 1480, 267, 1287, 621, 1590, 581, 1813, 547, 2696, 269, 19940, 5288, 269, 519, 1880, 634, 4605, 2630, 729, 3254, 547, 513, 1804, 1297, 540, 13588, 689, 1472, 519, 1158, 269, 1358, 941, 4280, 1018, 789, 4718, 538, 713, 4605, 269, 8409, 689, 5375, 267, 5259, 3206, 4529, 2356, 1767, 789, 4718, 513, 13650, 269, 8409, 689, 8109, 2477, 2356, 4718, 513, 9240, 557, 269, 634, 1261, 3691, 9749, 267, 899, 1346, 689, 8109, 2477, 267, 22157, 547, 1294, 519, 2898, 2864, 982, 519, 1880, 269, 634, 5619, 849, 4951, 519, 17013, 519, 1739, 5961, 543, 941, 4280, 875, 789, 2219, 519, 7911, 538, 519, 4099, 5433, 269, 8409, 689, 5375, 267, 5259, 3206, 4529, 4718, 519, 7911, 607, 6126, 538, 1312, 5961, 269, 8409, 689, 8109, 2477, 4718, 519, 7911, 607, 6126, 538, 519, 2451, 4605, 267, 855, 8909, 538, 519, 1318, 4605, 269, 1358, 23125, 646, 729, 8909, 538, 519, 1318, 4605, 2094, 3025, 3116, 538, 519, 4605, 6743, 8909, 269, 2368, 12830, 12355, 9293, 769, 519, 4098, 630, 2041, 3306, 527, 264, 1119, 12534, 289, 1452, 616, 519, 1101, 1913, 540, 19606, 543, 519, 2140, 540, 519, 1433, 538, 12355, 269, 968, 3306, 527, 892, 568, 519, 2262, 585, 968, 8218, 940, 892, 543, 968, 2041, 892, 568, 12261, 607, 968, 514, 1848, 1284, 4043, 547, 1589, 540, 519, 4098, 607, 513, 1448, 538, 942, 269, 9603, 547, 519, 2647, 10343, 540, 519, 968, 19136, 10854, 892, 3069, 538, 2257, 267, 649, 4043, 547, 12314, 713, 2680, 609, 519, 6679, 1913, 540, 19606, 269, 2755, 713, 3069, 11148, 547, 1489, 519, 19606, 2272, 267, 621, 568, 12691, 602, 519, 2278, 540, 19606, 1185, 4376, 899, 713, 538, 2247, 269, 1677, 519, 1261, 3691, 9749, 968, 3306, 527, 892, 12303, 2141, 5219, 547, 513, 1974, 540, 942, 269, 1280, 1383, 267, 968, 3306, 527, 892, 729, 1031, 585, 519, 1974, 540, 16763, 779, 1272, 1991, 547, 519, 1390, 1608, 600, 885, 646, 4810, 607, 606, 2025, 812, 269, 898, 729, 849, 1031, 585, 519, 3355, 1974, 540, 513, 4622, 779, 12081, 1991, 547, 519, 4013, 22672, 11238, 540, 519, 1376, 540, 1010, 12081, 269, 898, 729, 1455, 547, 723, 519, 4013, 1376, 540, 513, 4622, 779, 12081, 693, 519, 4098, 540, 519, 1032, 1739, 519, 4890, 1376, 269, 769, 930, 2665, 267, 519, 4013, 1376, 540, 519, 12081, 729, 16607, 585, 1296, 269, 2696, 1703, 941, 1896, 12355, 1913, 1031, 585, 2696, 269, 634, 2262, 2999, 344, 327, 5055, 630, 14976, 2129, 574, 264, 1797, 835, 609, 1379, 543, 6392, 269, 898, 814, 519, 12683, 1106, 547, 1039, 8561, 269, 898, 568, 849, 5812, 609, 519, 1523, 540, 519, 959, 6541, 269, 634, 2262, 586, 333, 342, 6767, 630, 611, 517, 2967, 264, 568, 2356, 12261, 968, 299, 867, 6100, 6183, 958, 267, 621, 1797, 968, 3240, 561, 3581, 892, 630, 680, 1116, 1040, 1717, 267, 621, 568, 1031, 899, 513, 2012, 269, 634, 2262, 554, 25585, 630, 312, 320, 933, 327, 264, 568, 519, 2012, 2356, 1031, 585, 519, 2696, 540, 5840, 269, 898, 729, 2808, 865, 10723, 602, 621, 729, 2760, 9275, 269, 4935, 267, 649, 723, 1100, 2856, 875, 621, 1058, 581, 14733, 269, 634, 16549, 648, 6776, 1257, 3773, 20262, 7436, 602, 8612, 513, 12332, 630, 31800, 6011, 1695, 610, 962, 12317, 990, 1695, 1040, 898, 568, 689, 713, 602, 649, 1205, 519, 2262, 8614, 327, 990, 1695, 269, 4595, 972, 568, 1100, 971, 2262, 962, 12317, 990, 1695, 538, 12355, 267, 713, 729, 513, 23319, 602, 713, 2262, 1058, 711, 581, 9275, 269, 634, 1261, 3691, 9749, 3622, 12038, 519, 2262, 968, 611, 517, 2967, 892, 3079, 269, 634, 5169, 543, 2495, 540, 519, 2140, 962, 320, 933, 327, 568, 711, 2312, 269, 898, 568, 2219, 676, 930, 547, 581, 606, 3504, 1106, 540, 519, 8231, 968, 1729, 581, 1848, 634, 2262, 1728, 3873, 630, 324, 1506, 12317, 264, 568, 519, 1101, 1268, 1106, 540, 519, 8231, 1728, 327, 630, 327, 599, 1695, 264, 2495, 968, 1729, 2291, 610, 547, 723, 7362, 1848, 901, 568, 519, 2140, 602, 2696, 5143, 15584, 547, 946, 952, 646, 729, 4280, 519, 2012, 540, 519, 835, 945, 2366, 1864, 630, 2750, 21402, 476, 274, 281, 1691, 1040, 634, 2262, 968, 324, 1506, 12317, 892, 568, 2356, 12261, 968, 296, 993, 6100, 898, 568, 519, 20541, 1106, 540, 519, 8231, 269, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1869, 4564, 606, 4316, 585, 3312, 1382, 267, 585, 513, 811, 2143, 26567, 5311, 1250, 581, 30443, 6362, 267, 32373, 539, 269, 1323, 14595, 5311, 267, 610, 811, 2143, 5311, 949, 849, 581, 2009, 952, 1558, 25233, 543, 12669, 17790, 2090, 616, 5340, 269, 13518, 960, 814, 1044, 2944, 2094, 476, 2735, 280, 547, 13217, 519, 3448, 12225, 1108, 540, 519, 8988, 543, 19730, 11113, 269, 8616, 835, 31268, 602, 713, 1858, 1869, 4564, 1776, 4316, 585, 3312, 960, 269, 3213, 514, 8076, 2209, 1522, 946, 2685, 1463, 741, 18906, 687, 547, 519, 30162, 540, 1007, 2010, 563, 2304, 3801, 676, 23575, 6312, 4459, 547, 2736, 519, 26198, 883, 2038, 543, 1647, 5712, 630, 332, 1497, 950, 5116, 538, 5311, 609, 519, 28841, 11270, 264, 814, 20519, 543, 972, 568, 513, 17895, 894, 6498, 1031, 538, 519, 1739, 32562, 269, 769, 519, 3735, 476, 1960, 271, 781, 543, 2038, 476, 1220, 271, 781, 267, 17722, 632, 14948, 5342, 513, 2143, 2079, 540, 595, 684, 984, 5202, 781, 11777, 720, 269, 1261, 11943, 602, 667, 699, 330, 19395, 781, 11460, 540, 519, 4154, 630, 31742, 539, 538, 713, 32562, 264, 729, 1869, 4570, 269, 1261, 6700, 513, 9168, 11460, 585, 519, 8988, 2152, 1107, 519, 32562, 4967, 519, 8320, 1141, 713, 568, 519, 2013, 269, 26023, 267, 519, 5311, 540, 519, 8988, 543, 19730, 2152, 814, 12926, 1044, 5462, 676, 519, 2511, 540, 519, 11113, 563, 288, 27792, 540, 519, 678, 10846, 540, 519, 2493, 619, 568, 538, 1931, 269, 634, 32562, 1592, 902, 2285, 519, 678, 10846, 585, 1142, 1826, 269, 1809, 952, 5634, 5884, 8677, 616, 16053, 267, 519, 11113, 616, 1454, 1455, 518, 269, 634, 1739, 3349, 3947, 519, 678, 541, 885, 630, 553, 540, 476, 1001, 274, 264, 24937, 5884, 8677, 912, 9199, 3431, 267, 519, 2558, 514, 990, 656, 525, 543, 9697, 340, 767, 5055, 27376, 941, 2808, 3982, 11031, 267, 1142, 609, 922, 1378, 11777, 720, 269, 1323, 14969, 1686, 267, 2854, 689, 519, 11777, 1202, 18587, 267, 4330, 513, 1279, 954, 339, 1026, 531, 13137, 269, 634, 2558, 514, 990, 656, 525, 4607, 9514, 1310, 14042, 9514, 689, 519, 2112, 3697, 9697, 340, 767, 5055, 27376, 543, 4503, 6682, 592, 617, 684, 636, 267, 741, 17174, 3854, 267, 1896, 2053, 538, 519, 1184, 269, 634, 2963, 729, 8547, 13148, 593, 19332, 781, 12591, 1107, 519, 14610, 540, 519, 2558, 514, 990, 656, 525, 1185, 1044, 7166, 676, 18706, 633, 12848, 684, 639, 269, 18706, 633, 12848, 684, 639, 729, 10924, 547, 581, 513, 14610, 540, 519, 9697, 340, 767, 5055, 27376, 267, 1498, 19332, 2760, 7150, 865, 269, 634, 1964, 540, 519, 1489, 3357, 689, 606, 2079, 540, 519, 1265, 4944, 1824, 540, 519, 667, 2106, 2880, 11113, 563, 9213, 267, 713, 1686, 568, 2808, 513, 7242, 1107, 519, 11777, 2963, 1100, 3476, 7028, 31934, 954, 31037, 710, 13137, 5087, 540, 519, 774, 1868, 269, 18706, 633, 12848, 684, 639, 262, 17174, 5169, 568, 711, 5018, 676, 1022, 4207, 5856, 543, 972, 568, 1100, 16315, 646, 729, 519, 14610, 540, 519, 9697, 340, 767, 5055, 27376, 269, 634, 16726, 540, 519, 17174, 543, 2123, 4408, 568, 14626, 2064, 267, 711, 513, 3095, 1063, 519, 1079, 269, 5015, 267, 2487, 9382, 540, 519, 1265, 4944, 582, 14778, 5815, 519, 11113, 6933, 730, 20991, 7192, 1752, 982, 5892, 2219, 269, 634, 8513, 5087, 540, 519, 774, 1868, 666, 1100, 3476, 581, 9674, 883, 1079, 3982, 11777, 268, 6748, 10851, 563, 21156, 267, 519, 11777, 720, 568, 2938, 2221, 607, 602, 540, 513, 2582, 2804, 1895, 1107, 11777, 2010, 2408, 538, 19588, 543, 32694, 711, 1152, 2429, 519, 1858, 5612, 5087, 540, 519, 774, 1868, 267, 855, 883, 594, 322, 523, 1014, 543, 22616, 1014, 8513, 607, 1134, 269, 5450, 14347, 543, 1462, 1108, 1397, 519, 1202, 18587, 593, 519, 30552, 2880, 2152, 616, 1346, 540, 20422, 17710, 267, 711, 4207, 10779, 2456, 563, 1103, 2489, 267, 519, 4605, 2221, 568, 540, 513, 3532, 267, 8087, 14316, 30939, 519, 1858, 5087, 540, 519, 774, 1868, 269, 634, 796, 2305, 1590, 723, 7018, 16172, 1354, 519, 11829, 545, 2782, 267, 610, 1282, 621, 269, 901, 19618, 14316, 1185, 2804, 3310, 3564, 922, 10665, 799, 2799, 2429, 519, 1974, 540, 519, 11777, 720, 269, 634, 17174, 1895, 6038, 6417, 519, 4346, 540, 519, 22616, 4512, 267, 543, 547, 513, 14758, 6708, 519, 11615, 540, 519, 594, 322, 523, 328, 543, 2311, 516, 321, 919, 270, 8802, 14269, 270, 14582, 326, 2801, 563, 3719, 1018, 729, 713, 1895, 1895, 888, 6546, 1079, 11031, 11478, 568, 711, 538, 8969, 269, 19332, 19528, 519, 2558, 514, 990, 656, 525, 538, 1010, 11829, 545, 2782, 6085, 2456, 267, 17548, 789, 941, 4440, 519, 1034, 3532, 14316, 538, 7013, 6628, 269, 634, 9697, 340, 767, 5055, 27376, 616, 5018, 593, 606, 27485, 4936, 6149, 689, 16874, 6929, 781, 3774, 269, 1703, 941, 1079, 20511, 532, 18013, 538, 519, 8513, 267, 693, 519, 17174, 1727, 5866, 540, 7638, 592, 600, 1756, 543, 6682, 592, 617, 684, 636, 267, 11021, 1079, 2797, 18013, 11478, 269, 1717, 267, 519, 11777, 720, 568, 513, 19618, 835, 2094, 519, 1079, 17174, 2516, 1590, 723, 24673, 883, 513, 2582, 2804, 1770, 1354, 789, 3323, 6721, 11113, 269, 1306, 513, 1267, 267, 519, 11031, 3112, 581, 13747, 1003, 1143, 5597, 267, 543, 789, 616, 5219, 547, 607, 519, 2558, 514, 990, 656, 525, 14727, 520, 340, 767, 5055, 27376, 269, 1280, 782, 4052, 5301, 267, 676, 519, 4367, 540, 519, 1733, 5417, 517, 932, 848, 7392, 827, 476, 4649, 645, 5861, 1421, 789, 1185, 2097, 547, 957, 607, 835, 17215, 267, 543, 5310, 1185, 1044, 3257, 865, 607, 2038, 607, 476, 10219, 645, 5861, 269, 634, 27485, 11777, 720, 13187, 585, 2797, 9322, 676, 476, 2412, 645, 5861, 269, 607, 1134, 269, 634, 30552, 2880, 11113, 1397, 606, 1931, 569, 19588, 540, 17710, 267, 4849, 585, 513, 5618, 1974, 1472, 519, 2490, 540, 519, 1984, 22431, 269, 901, 5526, 547, 723, 1044, 606, 3955, 2958, 11133, 267, 1282, 799, 519, 19588, 729, 31713, 563, 763, 2558, 514, 990, 656, 525, 14727, 520, 340, 767, 5055, 27376, 13026, 519, 3003, 8513, 5612, 5087, 540, 519, 774, 1868, 269, 1358, 941, 22112, 593, 519, 5087, 3887, 770, 676, 519, 594, 322, 523, 328, 267, 593, 519, 5045, 676, 519, 22616, 4512, 543, 2311, 516, 321, 919, 270, 8802, 14269, 270, 14582, 326, 2801, 267, 593, 519, 5087, 519, 676, 519, 4856, 1408, 339, 879, 12858, 267, 543, 593, 519, 7178, 267, 4440, 267, 676, 519, 667, 984, 684, 14269, 269, 4935, 267, 789, 941, 538, 2168, 3346, 609, 782, 519, 11031, 540, 519, 5045, 3887, 770, 267, 543, 538, 513, 2990, 547, 11851, 3310, 563, 3528, 476, 10219, 645, 5861, 907, 789, 941, 1104, 532, 11113, 689, 519, 2549, 15487, 328, 593, 519, 2552, 5799, 267, 543, 3838, 519, 3444, 16644, 14128, 4123, 609, 519, 22616, 4512, 543, 2311, 516, 321, 919, 270, 8802, 14269, 269, 14066, 4469, 534, 267, 4347, 3166, 12603, 543, 17593, 7392, 4154, 11113, 616, 1336, 2429, 741, 8513, 538, 7274, 563, 2691, 519, 22616, 4512, 3459, 16213, 19730, 11113, 827, 476, 1911, 645, 5861, 1421, 519, 2558, 514, 990, 656, 525, 14727, 520, 340, 767, 5055, 27376, 4553, 713, 1291, 543, 3812, 741, 1378, 5641, 11777, 720, 585, 513, 5618, 1974, 269, 769, 519, 2038, 476, 2735, 271, 338, 513, 1507, 11876, 731, 540, 8966, 5641, 19730, 11113, 729, 24797, 538, 2342, 267, 827, 476, 1911, 547, 476, 4968, 4773, 609, 606, 16957, 1412, 293, 13083, 9693, 1265, 4944, 582, 8339, 2311, 1101, 713, 729, 25323, 607, 11234, 267, 543, 519, 11113, 6216, 539, 717, 4954, 880, 269, 1717, 267, 1282, 519, 3735, 4832, 540, 476, 2735, 278, 513, 11876, 731, 540, 827, 476, 273, 267, 1822, 5641, 11487, 8240, 267, 1519, 519, 8966, 1826, 267, 941, 1336, 538, 513, 8486, 538, 519, 25610, 540, 4639, 774, 584, 13702, 267, 10507, 16303, 269, 634, 11113, 7018, 538, 693, 2547, 28465, 8677, 267, 609, 513, 10257, 1462, 1670, 11144, 269, 2290, 11777, 1185, 513, 1804, 31732, 4288, 540, 8755, 799, 1131, 723, 7745, 1055, 1185, 519, 11777, 1044, 6410, 1022, 1390, 3845, 269, 769, 2489, 267, 519, 11876, 731, 7902, 547, 581, 1500, 909, 540, 11113, 6394, 676, 513, 20511, 267, 5310, 585, 1121, 601, 1154, 269, 3143, 824, 2963, 540, 20511, 532, 2534, 729, 7074, 693, 519, 3135, 267, 855, 621, 5526, 519, 20511, 3112, 723, 1044, 2484, 2476, 563, 8025, 7838, 4629, 290, 298, 570, 312, 14154, 5641, 11487, 8240, 616, 849, 1336, 607, 2582, 9060, 538, 10507, 16303, 269, 589, 1906, 723, 1044, 1336, 538, 519, 774, 1868, 5211, 543, 835, 11777, 729, 1336, 538, 667, 832, 564, 269, 3509, 2582, 9060, 543, 835, 1507, 11876, 731, 723, 1044, 1336, 538, 13573, 267, 20872, 930, 547, 519, 3932, 789, 616, 513, 13573, 880, 3390, 269, 634, 11113, 3112, 723, 1044, 1031, 585, 513, 1360, 1279, 942, 269, 8422, 12496, 616, 2693, 281, 476, 272, 264, 789, 723, 513, 717, 4954, 880, 5169, 543, 941, 13713, 16865, 267, 476, 273, 264, 789, 723, 513, 3703, 5169, 543, 2099, 519, 1101, 11777, 720, 540, 519, 2558, 514, 990, 656, 525, 14727, 520, 340, 767, 5055, 27376, 267, 610, 476, 274, 264, 789, 616, 513, 13573, 880, 3390, 269, 4014, 2147, 11113, 616, 4080, 689, 519, 2552, 5799, 630, 290, 770, 601, 514, 267, 476, 3192, 279, 267, 2338, 476, 5325, 278, 547, 476, 4366, 276, 1070, 789, 616, 711, 18481, 7567, 547, 723, 513, 1455, 717, 4954, 880, 5169, 269, 4935, 267, 540, 519, 1614, 12496, 267, 519, 717, 4954, 880, 5169, 5526, 519, 2547, 2693, 269, 634, 774, 584, 13702, 670, 13635, 267, 8204, 513, 2347, 24402, 540, 519, 3126, 267, 1131, 723, 1044, 1360, 2352, 547, 27043, 3544, 519, 20511, 1107, 621, 1360, 1134, 949, 581, 513, 11876, 731, 540, 20511, 16150, 269, 4935, 267, 519, 19583, 1934, 568, 602, 519, 774, 584, 13702, 670, 13635, 729, 3812, 538, 519, 25610, 540, 519, 1265, 4944, 582, 1107, 519, 11113, 8204, 513, 2558, 514, 990, 656, 1014, 14727, 520, 340, 767, 5055, 684, 1014, 3390, 563, 1320, 584, 13702, 9537, 2408, 547, 723, 1044, 6766, 676, 519, 5019, 9189, 11270, 5641, 11487, 8240, 540, 519, 22616, 4512, 267, 6580, 873, 827, 561, 876, 547, 476, 3445, 645, 5861, 269, 10738, 8938, 1296, 267, 519, 14316, 729, 11495, 922, 1378, 4154, 11777, 720, 563, 763, 2558, 514, 990, 656, 525, 14727, 520, 340, 767, 5055, 27376, 941, 835, 540, 519, 9998, 11031, 547, 2253, 11495, 4154, 2493, 619, 267, 609, 519, 4367, 540, 519, 14160, 16898, 2177, 543, 715, 3036, 8025, 30204, 654, 2464, 9898, 295, 4456, 570, 24688, 2464, 1472, 476, 3583, 268, 2568, 645, 5861, 269, 589, 11876, 731, 540, 519, 14160, 16898, 2177, 570, 24688, 2464, 729, 1336, 609, 2549, 15487, 328, 17593, 7392, 2493, 619, 693, 1849, 716, 517, 11824, 269, 901, 1826, 267, 899, 782, 519, 2038, 2010, 13351, 538, 6628, 729, 267, 2110, 24331, 1107, 24760, 676, 519, 1804, 27614, 540, 11829, 545, 2782, 2493, 619, 269, 6168, 519, 1647, 540, 519, 2112, 267, 519, 14316, 3459, 547, 10880, 519, 18040, 4696, 291, 2177, 8863, 17955, 570, 312, 14154, 267, 543, 4797, 547, 3132, 11113, 2394, 519, 19863, 1014, 12289, 513, 4627, 1296, 2663, 563, 763, 2558, 514, 990, 656, 525, 14727, 520, 340, 767, 5055, 27376, 15151, 32524, 609, 519, 14564, 1282, 519, 2782, 269, 1358, 4440, 1705, 713, 676, 8423, 27128, 4123, 1063, 519, 667, 1755, 339, 3419, 525, 543, 519, 14022, 528, 4618, 11031, 267, 676, 12721, 585, 7727, 1369, 6628, 269, 1358, 949, 723, 9447, 7727, 2047, 547, 519, 4936, 7952, 267, 607, 1134, 269, 634, 14316, 5833, 513, 1804, 2179, 540, 4154, 585, 713, 4674, 543, 10423, 569, 2968, 519, 18579, 540, 9174, 2389, 15665, 2924, 609, 519, 14564, 269, 901, 12797, 6038, 5795, 519, 14316, 606, 2804, 27166, 936, 782, 519, 824, 11031, 538, 519, 22703, 1310, 519, 2112, 563, 763, 14316, 13234, 1079, 544, 6493, 267, 835, 693, 7638, 592, 600, 1756, 267, 519, 824, 693, 6682, 592, 617, 684, 636, 269, 21231, 267, 519, 7638, 592, 600, 1756, 20511, 3812, 1034, 540, 519, 11113, 267, 855, 621, 729, 31083, 611, 15735, 676, 6682, 592, 617, 684, 636, 538, 519, 1101, 2540, 589, 6185, 269, 634, 3788, 540, 1312, 544, 6493, 723, 1044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1384, 12585, 519, 1739, 521, 284, 279, 544, 267, 4855, 519, 11730, 590, 284, 736, 10264, 2073, 4855, 519, 17183, 9351, 590, 284, 1691, 4699, 267, 4855, 519, 11730, 590, 284, 2767, 4699, 267, 4855, 519, 11730, 590, 284, 3199, 6515, 267, 4855, 519, 17183, 9351, 23184, 7495, 700, 10813, 298, 19569, 488, 692, 2162, 17948, 19809, 1384, 10112, 9892, 281, 4855, 513, 1507, 12945, 1843, 538, 707, 2777, 269, 12763, 922, 6316, 543, 5173, 922, 11730, 543, 17183, 9351, 269, 3503, 621, 593, 513, 476, 16006, 6656, 540, 1957, 692, 2162, 17948, 19809, 1384, 14188, 596, 256, 17214, 676, 281, 17029, 1408, 661, 269, 9040, 1512, 320, 910, 968, 700, 1408, 13224, 9232, 0, 258, 476, 275, 269, 274, 23642, 6706, 3892, 476, 1109, 263, 17273, 476, 273, 270, 3066, 2020, 8525, 476, 273, 1315, 476, 3066, 692, 288, 4023, 11777, 568, 1166, 5792, 476, 1428, 2053, 269, 3962, 16212, 568, 4830, 269, 1548, 568, 519, 5506, 540, 3478, 811, 982, 4557, 9843, 286, 2913, 2473, 815, 519, 1297, 540, 9843, 538, 476, 1428, 1166, 2354, 540, 519, 4023, 11777, 269, 2473, 3217, 593, 519, 2418, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 10371, 1421, 476, 1428, 269, 4595, 519, 11777, 568, 4023, 267, 533, 815, 476, 271, 269, 276, 543, 7117, 815, 476, 271, 269, 276, 269, 634, 1297, 540, 8062, 568, 562, 815, 476, 1428, 269, 3557, 519, 5506, 2243, 28879, 780, 303, 630, 1535, 3436, 1015, 2020, 1012, 8347, 621, 692, 288, 4023, 267, 3670, 21758, 5884, 568, 18202, 4557, 2053, 269, 3962, 5066, 568, 4830, 269, 1411, 1616, 547, 1265, 519, 5506, 540, 12902, 513, 835, 811, 982, 1614, 2053, 269, 3557, 519, 5506, 2243, 28879, 780, 303, 630, 1535, 3436, 274, 2020, 7343, 6918, 2954, 476, 3583, 260, 540, 7194, 1053, 798, 741, 6780, 538, 942, 585, 621, 547, 581, 6394, 543, 28439, 269, 3962, 2875, 1281, 6780, 10446, 269, 769, 513, 7194, 1362, 540, 476, 2004, 1053, 267, 1018, 568, 519, 5506, 602, 693, 2547, 476, 2412, 786, 798, 741, 6780, 593, 942, 286, 4841, 616, 5697, 14477, 780, 320, 269, 901, 568, 513, 23481, 1966, 1317, 972, 568, 1152, 513, 1967, 610, 513, 13322, 1029, 267, 972, 616, 513, 6378, 1297, 540, 8062, 267, 543, 519, 5506, 540, 513, 1967, 568, 476, 271, 269, 3583, 585, 1142, 4693, 780, 320, 269, 5821, 692, 321, 269, 1403, 649, 616, 5461, 538, 519, 1297, 540, 1053, 945, 798, 741, 6780, 593, 942, 267, 1287, 875, 798, 649, 5581, 2473, 26042, 321, 269, 2473, 815, 519, 1297, 540, 7194, 1053, 945, 798, 741, 6780, 593, 942, 692, 322, 269, 1548, 2418, 1281, 1535, 1491, 593, 2496, 322, 269, 476, 271, 267, 476, 272, 267, 476, 273, 267, 2560, 267, 476, 2004, 692, 323, 269, 1548, 568, 513, 834, 325, 19691, 2437, 538, 1913, 2496, 323, 269, 23299, 568, 3989, 607, 513, 2875, 945, 1281, 711, 2347, 1010, 610, 1200, 6780, 593, 942, 780, 763, 5506, 540, 513, 1967, 568, 533, 815, 476, 271, 269, 3583, 269, 634, 1297, 540, 8062, 568, 562, 815, 476, 2004, 780, 324, 269, 1403, 533, 1341, 7117, 815, 476, 272, 267, 1287, 1018, 568, 7117, 26042, 324, 269, 7117, 815, 476, 271, 269, 1789, 692, 325, 269, 634, 1913, 834, 520, 2547, 257, 14377, 607, 1018, 2186, 540, 8635, 585, 519, 5506, 2243, 623, 630, 1535, 12223, 476, 2412, 6393, 325, 269, 3152, 982, 610, 3160, 547, 630, 19749, 354, 994, 763, 5506, 2243, 568, 623, 630, 1535, 21759, 476, 2412, 6393, 1012, 8347, 621, 692, 306, 4869, 344, 19317, 2600, 540, 1004, 1780, 519, 1533, 9920, 779, 981, 593, 519, 1101, 2119, 269, 589, 1895, 540, 476, 2004, 2043, 945, 723, 3144, 519, 9920, 779, 981, 568, 14477, 5697, 269, 12315, 1079, 4128, 1946, 713, 568, 513, 23481, 1966, 780, 1607, 568, 513, 23481, 1966, 1317, 972, 568, 1152, 513, 1967, 610, 513, 5821, 267, 543, 972, 616, 513, 17386, 1297, 540, 8062, 269, 634, 5506, 540, 513, 1967, 13978, 519, 1482, 585, 1142, 4693, 780, 1012, 3502, 566, 585, 519, 23481, 281, 645, 815, 23481, 5506, 3892, 1599, 692, 311, 9625, 645, 630, 562, 2073, 533, 25589, 5649, 713, 607, 834, 2473, 568, 513, 4351, 4756, 609, 513, 23481, 3892, 1701, 634, 6724, 616, 562, 543, 533, 6902, 562, 815, 1297, 540, 8062, 267, 533, 815, 5506, 540, 513, 1967, 593, 1142, 4693, 780, 2005, 814, 1044, 7150, 602, 827, 476, 6078, 260, 540, 2937, 4600, 723, 513, 1164, 1153, 26885, 855, 798, 711, 11654, 1022, 2417, 2069, 269, 1403, 476, 736, 2937, 4600, 616, 14477, 5697, 267, 1265, 519, 5506, 602, 693, 1034, 476, 1321, 540, 873, 723, 513, 1164, 1153, 26885, 855, 798, 711, 11654, 1022, 2417, 2069, 269, 1215, 1082, 2937, 4600, 798, 596, 2503, 547, 723, 513, 1164, 1153, 26885, 855, 798, 711, 11654, 1022, 2417, 2069, 2496, 4131, 2473, 815, 519, 1297, 540, 4600, 945, 723, 513, 1164, 1153, 26885, 855, 798, 711, 11654, 1022, 2417, 2069, 780, 311, 3217, 593, 519, 2418, 476, 271, 267, 476, 272, 267, 476, 273, 267, 10371, 1421, 476, 736, 1141, 562, 815, 476, 736, 267, 533, 815, 476, 271, 269, 6078, 267, 543, 7117, 815, 476, 272, 1107, 476, 271, 269, 6078, 815, 476, 271, 269, 6795, 269, 2473, 9625, 645, 630, 736, 267, 476, 271, 269, 6078, 2020, 8340, 623, 630, 1535, 18016, 476, 1321, 1040, 623, 630, 1535, 18016, 476, 1321, 264, 815, 476, 271, 269, 9032, 274, 279, 269, 630, 20412, 1807, 610, 2780, 2020, 7883, 883, 476, 273, 26998, 667, 8780, 305, 269, 634, 16105, 585, 519, 5528, 616, 607, 5205, 1384, 2414, 5173, 630, 1535, 815, 1871, 2567, 10822, 20234, 4206, 263, 562, 2073, 533, 2073, 1297, 264, 952, 834, 15893, 257, 568, 2451, 856, 267, 519, 1267, 568, 519, 23481, 5506, 3349, 563, 2414, 5173, 623, 630, 1535, 18016, 1871, 2567, 10822, 558, 322, 4206, 263, 562, 2073, 533, 2073, 1297, 264, 952, 834, 15893, 257, 568, 2451, 856, 267, 519, 1267, 568, 519, 19469, 23481, 5506, 3349, 563, 2690, 713, 1966, 281, 2991, 596, 616, 538, 476, 273, 26998, 667, 8780, 305, 267, 15561, 1524, 547, 10822, 558, 322, 4206, 269, 4964, 13673, 9898, 269, 9373, 476, 736, 267, 271, 269, 6078, 267, 1321, 1040, 634, 1267, 568, 623, 630, 1535, 18016, 476, 1321, 264, 815, 476, 271, 269, 9032, 274, 279, 780, 1012, 8074, 692, 2252, 596, 1616, 547, 1265, 623, 630, 1535, 815, 476, 1321, 1070, 946, 519, 7824, 630, 16535, 20234, 4206, 1040, 1403, 596, 1616, 547, 1265, 623, 630, 1535, 3436, 1321, 1070, 946, 476, 272, 910, 10822, 558, 322, 4206, 263, 736, 267, 271, 269, 6078, 267, 1321, 6393, 763, 5506, 602, 693, 1034, 476, 1321, 4600, 723, 513, 1164, 1153, 26885, 855, 798, 711, 11654, 1022, 2417, 2069, 568, 476, 271, 269, 9032, 274, 279, 780, 763, 3113, 540, 2473, 9625, 645, 630, 736, 267, 476, 271, 269, 6078, 264, 568, 607, 5205, 1384, 763, 586, 910, 9471, 3568, 519, 5506, 540, 1535, 2073, 1141, 2473, 815, 519, 1297, 540, 4600, 945, 723, 1152, 513, 1164, 1153, 26885, 780, 763, 1297, 540, 2937, 4600, 602, 596, 2503, 547, 723, 513, 1164, 1153, 26885, 855, 711, 11654, 1022, 2417, 2069, 568, 519, 1611, 267, 13179, 815, 5286, 815, 630, 736, 7565, 271, 269, 6078, 264, 815, 476, 279, 269, 273, 780, 763, 4542, 585, 519, 13065, 568, 21566, 476, 273, 815, 5286, 336, 1547, 634, 3044, 11539, 568, 21566, 815, 4399, 6912, 346, 12639, 336, 4151, 4586, 17385, 815, 4399, 6912, 3189, 3847, 263, 736, 9368, 9385, 3847, 263, 271, 269, 6078, 9368, 9385, 3847, 263, 271, 269, 6795, 9368, 264, 4151, 815, 476, 273, 269, 736, 780, 3602, 798, 594, 1376, 454, 514, 513, 1804, 13962, 606, 3328, 540, 1169, 476, 278, 5561, 2307, 585, 1216, 609, 519, 741, 7594, 269, 589, 4351, 3732, 540, 476, 1321, 5561, 568, 5697, 267, 1265, 519, 5506, 602, 4010, 476, 277, 2307, 585, 1216, 609, 741, 7594, 454, 1415, 1560, 609, 2856, 454, 305, 18860, 2967, 454, 935, 6463, 5506, 454, 305, 1868, 327, 454, 305, 18860, 2967, 454, 3554, 2731, 20994, 269, 621, 781, 1044, 1279, 2094, 594, 1031, 891, 1919, 269, 594, 1175, 5795, 596, 513, 20726, 1498, 454, 305, 1868, 327, 454, 758, 454, 305, 18860, 2967, 454, 10472, 5205, 23481, 3892, 269, 533, 11583, 284, 277, 6661, 1321, 290, 277, 16732, 271, 269, 277, 8203, 277, 265, 271, 269, 275, 317, 277, 946, 713, 4542, 562, 1265, 563, 1910, 20364, 454, 4754, 596, 2491, 519, 5430, 30872, 4756, 538, 519, 4542, 454, 19667, 5984, 454, 343, 568, 4756, 530, 747, 568, 4010, 476, 277, 1942, 28366, 454, 1910, 20364, 454, 333, 568, 1297, 540, 5561, 454, 1910, 20364, 454, 333, 322, 343, 265, 335, 317, 311, 265, 336, 317, 311, 888, 19667, 5984, 454, 336, 18898, 14870, 454, 1910, 20364, 454, 2129, 1318, 8206, 8627, 7064, 586, 320, 541, 454, 19667, 5984, 454, 296, 3858, 609, 1530, 344, 6767, 1932, 454, 295, 657, 1506, 541, 454, 296, 3858, 609, 5204, 20364, 1932, 454, 295, 657, 1506, 541, 454, 278, 270, 1321, 815, 271, 269, 6812, 529, 621, 888, 344, 748, 2378, 454, 563, 344, 748, 2378, 454, 337, 279, 454, 330, 15595, 573, 454, 6343, 568, 10855, 18802, 454, 5327, 20696, 7194, 616, 5618, 10855, 14170, 602, 17412, 513, 2016, 1239, 1305, 267, 799, 666, 581, 2901, 513, 6041, 540, 519, 3003, 610, 513, 3732, 540, 513, 2551, 269, 29149, 7194, 616, 7745, 1524, 883, 3800, 540, 3844, 12402, 543, 3800, 540, 13260, 630, 4944, 1348, 1916, 19667, 5984, 454, 732, 596, 3478, 713, 15017, 19667, 5984, 454, 604, 865, 1577, 803, 917, 454, 19667, 5984, 454, 13433, 544, 3478, 454, 305, 1868, 327, 454, 325, 710, 454, 19667, 5984, 454, 6343, 781, 2921, 1747, 666, 561, 6443, 579, 454, 2304, 652, 454, 6614, 1695, 8206, 256, 25585, 711, 286, 2386, 454, 19667, 5984, 454, 334, 4486, 7064, 454, 2304, 652, 454, 3602, 616, 7194, 1031, 454, 31435, 454, 294, 1014, 23036, 454, 17098, 454, 300, 12112, 657, 328, 454, 6011, 579, 3257, 454, 300, 7795, 573, 454, 1492, 5580, 14415, 850, 540, 519, 2551, 476, 1015, 267, 1321, 267, 1691, 267, 1626, 267, 1240, 267, 736, 267, 1839, 267, 1428, 267, 1556, 267, 1556, 267, 1704, 267, 529, 9982, 888, 294, 778, 454, 763, 5506, 2039, 568, 476, 271, 547, 476, 272, 1862, 855, 1946, 649, 1491, 621, 476, 271, 547, 476, 272, 19601, 20357, 538, 5506, 476, 272, 1797, 1967, 543, 476, 271, 1797, 5821, 543, 621, 524, 333, 660, 581, 811, 610, 1447, 982, 476, 272, 543, 476, 271, 563, 1910, 20364, 454, 321, 11305, 642, 554, 341, 544, 1794, 3065, 2625, 9560, 344, 476, 272, 543, 5934, 799, 568, 269, 7224, 269, 22238, 7441, 640, 568, 476, 271, 269, 810, 18192, 554, 341, 519, 2039, 689, 476, 271, 547, 476, 272, 454, 330, 15595, 573, 454, 1492, 2450, 540, 513, 1305, 568, 6067, 2678, 982, 922, 15410, 454, 295, 657, 1506, 541, 454, 763, 5506, 540, 606, 2680, 786, 1109, 2254, 1109, 2041, 1447, 982, 476, 271, 269, 1109, 901, 568, 1317, 476, 271, 568, 7543, 630, 338, 675, 602, 1945, 786, 711, 4755, 1040, 763, 5506, 540, 606, 2680, 786, 1109, 2254, 1109, 2041, 811, 982, 476, 272, 269, 1109, 1607, 568, 1317, 476, 272, 568, 1978, 602, 1945, 786, 4755, 454, 19667, 5984, 454, 6343, 798, 789, 1611, 538, 513, 2243, 950, 596, 616, 4280, 547, 1265, 623, 2412, 543, 623, 6434, 454, 300, 8643, 454, 6062, 454, 9288, 327, 686, 454, 9767, 2811, 4280, 547, 1265, 2985, 476, 2412, 543, 2985, 476, 6434, 593, 602, 1880, 1433, 563, 297, 24944, 454, 6062, 454, 9545, 328, 454, 1415, 10372, 585, 7194, 813, 1732, 982, 713, 454, 9545, 328, 454, 7717, 787, 4413, 5206, 519, 2243, 454, 558, 541, 454, 5591, 1966, 264, 1635, 519, 1259, 269, 594, 17252, 3633, 513, 1982, 1280, 8579, 1239, 2079, 269, 7102, 19583, 888, 300, 8643, 454, 292, 1613, 338, 786, 948, 579, 454, 15916, 454, 302, 330, 517, 330, 6851, 454, 732, 344, 972, 1022, 1239, 25566, 543, 2324, 593, 521, 553, 8579, 2203, 2679, 454, 9545, 328, 454, 17098, 16921, 2073, 716, 1302, 594, 723, 546, 545, 2642, 602, 519, 623, 2412, 543, 623, 6434, 1797, 4466, 519, 476, 2412, 628, 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 ]
[ 9193, 1916, 16954, 1637, 2208, 2557, 1107, 476, 1556, 269, 3451, 260, 630, 1001, 279, 7447, 1916, 16954, 1637, 17510, 2557, 1107, 476, 1240, 269, 274, 829, 476, 1911, 271, 2551, 630, 1001, 279, 7447, 1916, 16954, 1637, 9019, 2557, 1107, 1851, 476, 1911, 271, 1004, 269, 476, 276, 269, 271, 18200, 1275, 630, 1001, 279, 6480, 23660, 1916, 30182, 1272, 19104, 1107, 476, 7761, 269, 274, 1296, 630, 1001, 279, 9193, 1916, 300, 1446, 1107, 476, 3583, 269, 279, 1296, 630, 1001, 279, 9193, 1916, 293, 24580, 1107, 476, 10463, 269, 279, 1296, 630, 1001, 279, 9193, 1916, 303, 27389, 3599, 2557, 268, 273, 269, 4962, 260, 630, 1001, 279, 7447, 1916, 14813, 656, 9019, 2557, 1107, 476, 2420, 7972, 829, 476, 272, 267, 1822, 630, 1001, 279, 9193, 1916, 21848, 19725, 1107, 476, 271, 268, 1691, 1296, 476, 2767, 269, 3066, 9077, 476, 1428, 268, 5038, 1296, 476, 5780, 269, 274, 260, 543, 476, 4792, 1296, 543, 1657, 476, 277, 269, 5655, 260, 630, 1001, 279, 9193, 1916, 29638, 22472, 1107, 476, 272, 269, 6860, 9038, 1315, 8951, 693, 4332, 630, 1001, 279, 16759, 1070, 896, 268, 1428, 1296, 476, 272, 269, 6860, 9038, 1315, 8951, 630, 1001, 278, 16759, 1070, 476, 1428, 268, 5038, 1296, 476, 271, 269, 7176, 9038, 1315, 8951, 630, 1001, 278, 16759, 264, 543, 476, 4792, 13807, 639, 476, 271, 269, 3445, 9038, 1315, 6468, 630, 1001, 279, 6480, 23660, 1916, 13233, 640, 1107, 634, 1292, 6803, 1895, 568, 476, 7176, 260, 15622, 8932, 267, 476, 273, 260, 1866, 563, 23458, 1107, 15622, 8932, 563, 8448, 338, 827, 15510, 540, 16273, 912, 288, 3464, 21329, 15464, 568, 606, 1271, 1072, 1966, 538, 16273, 269, 14755, 267, 972, 568, 606, 12176, 540, 13663, 543, 28939, 538, 16273, 799, 568, 2810, 11489, 4266, 563, 763, 7924, 2557, 538, 16273, 568, 827, 476, 6078, 260, 607, 540, 476, 1220, 276, 269, 4340, 547, 6167, 32019, 267, 538, 476, 1220, 275, 519, 7924, 2557, 1851, 9038, 729, 476, 2004, 260, 543, 1851, 8951, 476, 4029, 10065, 1717, 267, 519, 2557, 540, 2069, 538, 519, 2197, 814, 2799, 607, 513, 1267, 540, 1585, 3292, 3144, 676, 519, 2229, 563, 4913, 267, 519, 1426, 5385, 1982, 267, 799, 3323, 538, 476, 1960, 274, 267, 814, 1044, 519, 1034, 3811, 269, 769, 1840, 267, 25689, 585, 6690, 693, 519, 3119, 267, 6281, 267, 2362, 6281, 543, 15938, 2157, 723, 1044, 5189, 547, 4434, 2021, 779, 2069, 269, 3367, 9147, 23089, 538, 7507, 454, 3383, 1256, 952, 649, 798, 711, 917, 519, 3169, 1297, 540, 519, 2551, 267, 649, 666, 1205, 519, 2856, 540, 519, 2698, 2551, 2687, 547, 519, 14829, 269, 1717, 267, 16273, 814, 513, 1804, 2551, 538, 2474, 540, 2450, 267, 799, 568, 711, 14909, 585, 513, 2197, 693, 782, 269, 0, 6637, 476, 273, 4530, 281, 22362, 7726, 454, 2690, 713, 851, 540, 519, 1449, 267, 594, 1616, 596, 547, 1265, 519, 1426, 6003, 585, 707, 5172, 15165, 1426, 269, 1411, 666, 1491, 513, 4605, 540, 519, 6484, 6003, 609, 707, 6049, 269, 1403, 596, 1810, 1406, 723, 707, 5172, 15165, 1426, 593, 1688, 267, 596, 666, 798, 513, 5616, 3406, 585, 6484, 6003, 269, 1280, 1383, 267, 594, 2972, 4189, 29778, 539, 22387, 5453, 1846, 607, 513, 15165, 269, 1879, 594, 1705, 606, 3239, 3406, 267, 594, 1336, 513, 1434, 4528, 540, 519, 6484, 6003, 269, 5269, 2386, 519, 5820, 1592, 568, 3769, 2336, 268, 1548, 568, 707, 5172, 15165, 1426, 286, 23453, 513, 4605, 540, 519, 9422, 6003, 1934, 563, 268, 5903, 782, 519, 2609, 602, 666, 581, 1336, 593, 519, 13350, 3349, 602, 616, 538, 707, 15165, 1426, 267, 538, 1931, 540, 1034, 547, 2547, 538, 835, 7674, 563, 268, 3657, 972, 25617, 7135, 538, 707, 15165, 1426, 5820, 286, 5903, 519, 4408, 543, 3114, 12596, 540, 1022, 25617, 7135, 538, 707, 5172, 15165, 269, 630, 9767, 666, 1413, 909, 519, 3114, 12596, 952, 2877, 994, 268, 3657, 972, 1022, 7636, 7135, 538, 707, 15165, 286, 5903, 519, 4408, 543, 3114, 12596, 540, 1022, 7636, 7135, 538, 519, 15165, 269, 630, 9767, 666, 1413, 909, 519, 3114, 12596, 952, 2877, 994, 268, 17292, 835, 12146, 593, 519, 1592, 602, 596, 616, 8049, 827, 269, 898, 1223, 581, 1945, 596, 723, 2760, 4862, 540, 1354, 267, 610, 606, 12146, 596, 917, 1134, 269, 6733, 909, 930, 1344, 827, 713, 6219, 269, 14674, 1018, 596, 723, 4121, 267, 585, 1383, 267, 1946, 713, 12146, 568, 3773, 547, 519, 1426, 267, 1018, 568, 519, 2707, 540, 519, 12146, 267, 568, 972, 1022, 9422, 1871, 267, 543, 824, 1919, 596, 4121, 827, 621, 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 ]
[ 2483, 18693, 6048, 8861, 2098, 2643, 1231, 7288, 2090, 875, 2759, 1479, 8127, 1294, 519, 1158, 676, 3168, 693, 519, 328, 2483, 29146, 4415, 922, 5230, 9018, 7387, 267, 4617, 5075, 267, 543, 18642, 2634, 267, 519, 562, 2246, 559, 639, 19330, 1454, 540, 519, 10761, 540, 519, 811, 1166, 553, 1506, 543, 524, 7342, 524, 31525, 641, 16104, 269, 8616, 513, 3126, 540, 6901, 676, 12105, 27563, 3220, 269, 26391, 29092, 543, 7605, 2106, 15867, 758, 5473, 3165, 10433, 267, 4544, 8279, 267, 543, 544, 30769, 7006, 1564, 519, 10206, 602, 713, 3504, 2249, 568, 24835, 762, 540, 2596, 1565, 543, 25001, 883, 2243, 519, 8129, 540, 524, 31525, 641, 16104, 262, 7214, 23258, 269, 0, 305, 534, 11155, 570, 983, 31842, 657, 630, 294, 727, 345, 994, 305, 534, 11155, 570, 983, 31842, 657, 729, 513, 476, 2918, 267, 6812, 272, 14092, 516, 630, 13040, 269, 6872, 5998, 273, 264, 11204, 2244, 9886, 538, 1459, 1554, 8053, 699, 344, 6019, 267, 4993, 2016, 538, 476, 8146, 275, 676, 17135, 21280, 2946, 8431, 340, 3266, 320, 547, 681, 2378, 6130, 717, 727, 345, 269, 570, 983, 31842, 657, 1797, 834, 2897, 540, 519, 2370, 570, 2544, 5394, 1115, 2668, 634, 9886, 729, 538, 519, 5580, 25844, 601, 9503, 267, 2059, 570, 983, 31842, 657, 15880, 267, 543, 729, 22112, 593, 519, 7178, 676, 28234, 11155, 11968, 19846, 956, 563, 305, 2378, 6130, 717, 727, 345, 630, 9965, 275, 268, 8146, 279, 1070, 4535, 538, 6792, 267, 3357, 547, 4993, 538, 476, 8146, 271, 607, 513, 3656, 25129, 547, 17135, 2494, 3241, 15117, 269, 769, 476, 8146, 272, 267, 646, 9310, 21280, 2946, 17304, 4165, 8205, 6480, 2784, 320, 630, 8687, 274, 268, 6245, 271, 1070, 513, 8250, 540, 21280, 2946, 631, 4115, 334, 6480, 2784, 320, 267, 9886, 2465, 540, 28234, 11155, 11370, 6511, 966, 16695, 269, 717, 727, 345, 729, 513, 1139, 7163, 540, 8431, 340, 3266, 320, 267, 855, 759, 11220, 1010, 2990, 267, 543, 729, 11292, 519, 3670, 4009, 21597, 28234, 11155, 570, 983, 31842, 657, 538, 476, 8146, 275, 269, 1261, 4371, 1857, 13646, 538, 8053, 699, 344, 538, 476, 8146, 276, 268, 3607, 269, 681, 2378, 6130, 717, 727, 345, 5747, 538, 606, 8009, 593, 28234, 11155, 570, 983, 31842, 657, 538, 476, 8146, 279, 563, 4415, 519, 524, 11970, 540, 4993, 547, 519, 2136, 2276, 1739, 519, 11204, 12677, 2782, 267, 519, 476, 7277, 279, 15521, 540, 2871, 611, 2728, 701, 670, 10537, 2998, 3177, 602, 519, 2244, 14828, 1131, 581, 28165, 269, 1306, 2838, 676, 519, 8092, 2920, 540, 476, 6977, 272, 267, 513, 3409, 585, 28234, 11155, 570, 983, 31842, 657, 729, 19429, 609, 519, 5398, 8092, 8189, 538, 476, 6977, 273, 267, 543, 519, 9886, 729, 31601, 547, 21280, 2946, 17304, 4165, 8205, 6480, 2784, 320, 632, 717, 727, 345, 538, 476, 5908, 277, 563, 5475, 681, 2378, 6130, 717, 727, 345, 5747, 538, 476, 8146, 279, 267, 21280, 2946, 17304, 4165, 8205, 717, 727, 345, 9310, 8176, 26728, 614, 267, 513, 4436, 23071, 540, 513, 11204, 6928, 267, 945, 12306, 538, 8053, 699, 344, 538, 476, 8146, 274, 269, 21280, 2946, 17304, 4165, 8205, 717, 727, 345, 4421, 28234, 11155, 570, 983, 31842, 657, 547, 12448, 808, 269, 29142, 2280, 872, 269, 29142, 2280, 872, 4503, 519, 10443, 11155, 547, 19499, 1729, 570, 637, 935, 344, 267, 8227, 540, 28234, 11155, 5842, 12359, 553, 267, 538, 513, 20251, 2062, 26918, 538, 476, 6642, 271, 269, 570, 637, 935, 344, 7930, 4421, 1055, 519, 2244, 267, 4849, 585, 476, 273, 267, 1822, 14092, 516, 630, 279, 269, 272, 5998, 273, 1040, 1656, 686, 639, 2349, 558, 638, 626, 729, 4535, 538, 13785, 538, 476, 7277, 277, 543, 32164, 3603, 547, 519, 2136, 2276, 538, 476, 5908, 278, 547, 1376, 513, 1007, 1272, 269, 1261, 5555, 12306, 538, 5580, 25844, 601, 9503, 538, 476, 6642, 276, 543, 9715, 5176, 476, 279, 267, 1822, 14092, 516, 630, 3953, 5998, 273, 264, 540, 28234, 11155, 570, 983, 31842, 657, 269, 589, 1804, 851, 540, 28234, 11155, 570, 983, 31842, 657, 729, 4421, 547, 3627, 543, 7917, 3057, 1076, 538, 476, 4572, 275, 563, 268, 29142, 6577, 32129, 2006, 267, 476, 5908, 273, 267, 11847, 2176, 540, 8092, 27418, 10318, 1441, 538, 519, 2136, 2276, 10588, 7040, 585, 519, 8832, 10588, 540, 4993, 267, 715, 6373, 13535, 6975, 267, 5842, 12770, 454, 268, 6779, 25123, 1642, 28234, 11155, 570, 983, 31842, 657, 454, 268, 2136, 2276, 269, 10588, 7040, 630, 30210, 2433, 8828, 10588, 264, 8092, 8865, 476, 274, 12676, 454, 268, 7797, 540, 519, 11752, 528, 4937, 476, 7277, 275, 910, 476, 6642, 277, 454, 268, 3397, 755, 320, 674, 1074, 267, 476, 3192, 273, 267, 8053, 699, 344, 6019, 634, 667, 1090, 1738, 9452, 540, 4706, 12815, 8053, 699, 344, 7345, 267, 8262, 5080, 267, 25844, 601, 267, 6428, 21590, 9503, 267, 5375, 18000, 4526, 4964, 270, 11749, 2917, 23255, 267, 5842, 12770, 454, 268, 14208, 1478, 267, 631, 843, 1042, 645, 5919, 681, 839, 577, 267, 15552, 282, 681, 839, 577, 267, 661, 1492, 331, 282, 2806, 601, 4141, 267, 5261, 715, 269, 630, 3422, 277, 1040, 19866, 1975, 1824, 538, 4993, 269, 18628, 2160, 4964, 269, 9768, 476, 7818, 268, 271, 268, 3199, 275, 278, 268, 275, 4366, 273, 268, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14669, 270, 935, 14287, 2073, 8828, 2342, 1185, 4057, 4365, 563, 268, 4634, 865, 2073, 1082, 2025, 2828, 941, 28280, 693, 519, 23318, 563, 268, 5262, 1359, 689, 1010, 3043, 9164, 267, 646, 9053, 4051, 532, 1010, 5640, 547, 519, 20440, 540, 16565, 2123, 556, 852, 333, 563, 268, 634, 3510, 538, 8581, 568, 3833, 14669, 547, 713, 6240, 563, 299, 9722, 9293, 585, 10749, 1923, 16103, 454, 19350, 568, 513, 13561, 1592, 540, 1913, 602, 616, 1312, 3730, 543, 3617, 547, 4081, 1893, 912, 8448, 16046, 1913, 547, 2285, 606, 1383, 610, 606, 14745, 912, 268, 769, 713, 2013, 2676, 268, 769, 1776, 2013, 454, 268, 6875, 519, 2013, 540, 454, 268, 1677, 9414, 454, 268, 1306, 606, 454, 268, 1677, 1491, 1776, 1383, 454, 268, 2334, 568, 454, 268, 1306, 3254, 676, 454, 268, 1306, 11609, 676, 454, 268, 1306, 6829, 676, 454, 268, 10765, 24762, 454, 268, 1773, 1116, 540, 6713, 538, 519, 2296, 18049, 910, 5239, 476, 274, 267, 476, 1708, 274, 454, 268, 7454, 918, 1695, 2393, 18780, 281, 5192, 11300, 609, 1452, 8342, 14313, 256, 910, 5239, 476, 273, 267, 476, 1708, 274, 454, 268, 5903, 540, 13067, 2684, 2158, 585, 2296, 22996, 910, 5181, 476, 1789, 267, 476, 1708, 274, 454, 268, 700, 9722, 9293, 543, 1912, 29320, 281, 30258, 543, 11778, 454, 268, 2422, 995, 9293, 543, 1912, 29320, 547, 2422, 607, 22054, 10060, 1562, 547, 3503, 14568, 10749, 454, 268, 15019, 700, 9722, 9293, 543, 21846, 531, 1912, 29320, 538, 2296, 454, 268, 21846, 9293, 1411, 10261, 547, 5700, 547, 9457, 2296, 5675, 454, 306, 1495, 599, 476, 2918, 628, 540, 5437, 476, 1708, 274, 454, 300, 755, 2161, 5393, 5363, 1547, 853, 8681, 539, 607, 594, 729, 26998, 594, 1336, 713, 1547, 1492, 2465, 2465, 1655, 476, 1015, 1315, 1015, 454, 32637, 476, 1015, 628, 540, 5437, 476, 1708, 273, 454, 25802, 1360, 3872, 454, 306, 1495, 599, 476, 1626, 628, 540, 5239, 476, 1708, 273, 454, 6343, 519, 2915, 3257, 454, 307, 11698, 476, 2537, 6113, 540, 4864, 476, 1708, 273, 454, 16591, 3896, 609, 1434, 1344, 454, 293, 27518, 476, 2641, 560, 540, 5130, 476, 1708, 273, 454, 323, 6359, 1695, 1767, 621, 568, 979, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 5622, 797, 454, 5408, 519, 4267, 1631, 2336, 16100, 693, 891, 1079, 5220, 269, 1772, 972, 4376, 4636, 609, 873, 286, 1703, 568, 4986, 4636, 609, 873, 267, 855, 513, 2262, 602, 13462, 891, 1079, 5220, 568, 1419, 3773, 269, 17006, 513, 27296, 1131, 5693, 1397, 513, 2078, 1063, 519, 1079, 5220, 543, 2093, 563, 1103, 713, 3992, 267, 649, 1131, 899, 547, 6338, 28339, 543, 1913, 602, 616, 4122, 1031, 538, 3318, 267, 1870, 267, 543, 6280, 1603, 269, 4014, 519, 1913, 723, 1114, 21342, 4408, 267, 789, 2671, 835, 3364, 538, 1455, 281, 789, 782, 3136, 610, 1039, 547, 2093, 602, 941, 2854, 538, 519, 18631, 4845, 563, 4322, 1913, 616, 711, 20049, 762, 269, 769, 824, 1913, 267, 596, 3112, 4894, 835, 540, 891, 1913, 543, 1039, 1022, 824, 269, 634, 1655, 1259, 547, 2491, 875, 547, 946, 891, 1913, 568, 547, 3274, 2285, 596, 1806, 269, 2290, 3364, 789, 782, 723, 538, 1455, 568, 602, 789, 616, 2356, 7923, 547, 21291, 269, 2334, 1797, 789, 616, 7923, 547, 513, 1895, 540, 1913, 602, 3568, 513, 1641, 543, 513, 8231, 269, 1280, 811, 1344, 593, 21291, 267, 1294, 938, 4245, 593, 4845, 15998, 543, 2196, 6823, 5220, 4586, 2171, 786, 946, 519, 1482, 5220, 538, 1931, 547, 9414, 875, 519, 1913, 616, 1031, 543, 547, 1397, 741, 1114, 7158, 538, 519, 5220, 269, 634, 7158, 540, 519, 1913, 602, 649, 1397, 596, 616, 519, 1034, 1455, 855, 711, 8209, 519, 1152, 7158, 563, 7069, 7548, 568, 606, 5393, 4241, 1268, 269, 2701, 6645, 930, 540, 519, 1034, 4277, 2984, 594, 723, 2479, 4862, 563, 21228, 6303, 1693, 476, 273, 4700, 769, 1840, 2676, 21228, 6303, 1693, 476, 274, 4700, 18320, 454, 21228, 6303, 1693, 476, 275, 4700, 4746, 454, 21228, 6303, 1693, 476, 276, 4700, 5015, 2676, 21228, 6303, 1693, 476, 277, 4700, 14755, 602, 2676, 21228, 6303, 1693, 476, 278, 4700, 1656, 454, 21228, 6303, 1693, 476, 279, 4700, 5047, 2676, 21228, 6303, 1693, 476, 280, 4700, 1306, 1134, 454, 21228, 6303, 1693, 476, 1015, 4700, 3502, 1152, 1862, 8117, 849, 454, 1103, 2489, 267, 950, 596, 946, 891, 1913, 543, 28339, 267, 1118, 2386, 519, 1079, 5220, 270, 728, 553, 616, 1644, 269, 634, 2034, 4845, 270, 728, 320, 1058, 1039, 1344, 602, 568, 4481, 1644, 547, 519, 1101, 2856, 269, 6875, 513, 1413, 693, 519, 1739, 1383, 912, 2710, 596, 1616, 547, 6494, 713, 3992, 547, 2576, 286, 8437, 1934, 476, 2336, 23763, 547, 1294, 824, 4245, 602, 723, 1044, 3370, 593, 3733, 12626, 30108, 14492, 286, 8437, 1934, 2336, 19185, 585, 2835, 547, 2087, 707, 1603, 286, 8437, 1934, 476, 2336, 15100, 1220, 476, 271, 11628, 4804, 4741, 1547, 2353, 2924, 11603, 269, 1403, 596, 1265, 606, 5470, 593, 713, 5680, 3135, 267, 5225, 4757, 721, 543, 1577, 721, 917, 269, 1284, 5660, 782, 5955, 543, 10372, 269, 0, 27852, 814, 9676, 519, 9345, 540, 2367, 2094, 519, 4098, 540, 10340, 269, 28799, 602, 609, 519, 7279, 540, 513, 1126, 543, 596, 723, 513, 14686, 4999, 563, 27001, 519, 1296, 476, 1220, 278, 543, 476, 1001, 272, 267, 606, 3328, 540, 476, 278, 267, 1911, 1753, 2497, 11642, 829, 1032, 941, 3361, 676, 1453, 1404, 609, 561, 16146, 543, 13292, 269, 19759, 569, 267, 1169, 1032, 606, 3328, 540, 476, 6507, 1004, 5884, 538, 741, 5321, 1317, 540, 891, 11642, 543, 1776, 476, 16020, 616, 2366, 547, 519, 6595, 4055, 1317, 540, 7063, 269, 901, 3123, 5111, 1269, 15094, 2929, 538, 3959, 3441, 12422, 563, 1432, 666, 649, 798, 547, 2061, 11642, 689, 8345, 538, 938, 1753, 888, 2005, 3217, 1079, 1919, 912, 299, 1115, 1491, 513, 1906, 3764, 547, 1413, 693, 519, 5013, 543, 1287, 1294, 1018, 4245, 649, 666, 2721, 689, 891, 563, 268, 3502, 1250, 1126, 256, 15526, 14659, 602, 741, 1126, 6487, 1732, 543, 1131, 2760, 1404, 609, 3595, 269, 1284, 1590, 3314, 602, 1762, 1453, 1419, 3668, 7744, 2702, 543, 3111, 547, 1589, 540, 519, 4539, 2394, 922, 1932, 3735, 269, 6875, 519, 942, 547, 4001, 707, 1126, 827, 519, 12178, 540, 3595, 269, 17546, 873, 602, 561, 16146, 543, 13292, 616, 5906, 543, 1152, 4079, 666, 5905, 873, 269, 5213, 1406, 8263, 789, 917, 713, 267, 1317, 476, 278, 267, 10384, 11642, 513, 1032, 6961, 6382, 563, 268, 3733, 5067, 6487, 1732, 256, 9894, 596, 917, 602, 9038, 3323, 476, 10695, 260, 540, 1753, 2497, 11642, 543, 476, 11152, 260, 540, 3544, 610, 796, 5035, 1881, 11642, 286, 634, 3992, 286, 8479, 9038, 991, 2318, 1909, 3631, 538, 741, 2729, 547, 4001, 873, 827, 519, 12178, 540, 3595, 563, 268, 31072, 11642, 630, 1410, 6984, 17885, 610, 6299, 321, 880, 11642, 264, 8445, 1282, 519, 12784, 3108, 267, 1063, 476, 274, 533, 6230, 269, 543, 476, 277, 533, 6230, 269, 1282, 4832, 3275, 269, 634, 3992, 286, 901, 4667, 547, 581, 519, 942, 950, 1082, 1453, 616, 1753, 1510, 2937, 15569, 269, 8479, 1004, 991, 2937, 15569, 269, 1358, 849, 991, 11327, 267, 1187, 543, 2922, 1919, 547, 798, 1282, 519, 4832, 16314, 547, 1832, 873, 856, 540, 8373, 563, 268, 476, 2190, 260, 540, 891, 11642, 941, 3323, 538, 5147, 267, 4440, 1282, 519, 5147, 476, 275, 628, 9702, 11812, 269, 7689, 286, 17546, 707, 1453, 827, 32030, 3106, 563, 268, 21009, 540, 1753, 4730, 2497, 11642, 630, 7367, 8472, 1185, 513, 14402, 607, 519, 2014, 267, 1247, 13292, 3361, 476, 1240, 260, 540, 519, 11642, 269, 634, 3992, 286, 17546, 707, 3214, 602, 561, 16146, 543, 13292, 616, 5906, 543, 585, 4079, 946, 1152, 269, 20661, 849, 991, 547, 3314, 547, 12404, 13292, 543, 561, 16146, 538, 4819, 1606, 12522, 4025, 602, 616, 856, 540, 3914, 23295, 538, 513, 19526, 22277, 563, 1103, 3932, 267, 649, 1416, 827, 938, 1762, 1004, 269, 2334, 568, 1946, 649, 723, 3838, 713, 3595, 3106, 4388, 2376, 2221, 269, 1284, 4126, 596, 723, 1336, 519, 4245, 5363, 543, 786, 581, 2111, 547, 946, 873, 607, 596, 9846, 13599, 543, 960, 609, 707, 1453, 827, 519, 12178, 540, 4730, 609, 3595, 563, 2252, 596, 723, 1022, 2055, 827, 519, 3595, 4027, 6712, 540, 707, 21427, 3609, 5225, 3914, 856, 547, 707, 15928, 29878, 11347, 269, 1358, 616, 7555, 676, 7996, 585, 707, 1289, 269, 0, 763, 3059, 21287, 1788, 9607, 519, 2591, 15054, 676, 519, 30427, 543, 1617, 13308, 5250, 540, 519, 3979, 29563, 538, 2342, 630, 663, 11992, 264, 593, 519, 835, 1688, 543, 676, 519, 8589, 1944, 540, 4563, 1702, 2504, 538, 3864, 7239, 267, 1519, 5238, 899, 15882, 543, 9945, 267, 593, 519, 824, 269, 634, 21287, 786, 1312, 7520, 519, 7857, 1436, 540, 2168, 6054, 543, 1450, 585, 513, 11837, 540, 4609, 540, 1702, 2504, 543, 2895, 1516, 2066, 2342, 563, 291, 13424, 1436, 814, 19117, 31150, 1382, 676, 1818, 2200, 538, 2199, 21517, 11451, 3015, 267, 3850, 585, 1007, 2157, 540, 6278, 602, 616, 1312, 6626, 267, 26587, 1569, 547, 1346, 945, 3112, 9308, 3643, 519, 21517, 267, 543, 4514, 267, 2094, 3059, 12215, 616, 2484, 1447, 17866, 982, 519, 5169, 1023, 269, 32693, 1436, 666, 849, 22499, 1018, 4991, 2895, 1882, 543, 676, 7247, 563, 1607, 1788, 568, 5097, 7255, 609, 891, 8545, 3344, 269, 4563, 3864, 1686, 10301, 1394, 5553, 267, 855, 519, 31150, 4015, 543, 6041, 540, 713, 1686, 568, 1419, 14436, 540, 3140, 5208, 269, 901, 568, 6654, 267, 585, 1383, 267, 538, 5571, 9620, 1472, 519, 2132, 540, 21687, 3979, 13742, 538, 3864, 15882, 267, 543, 267, 811, 11145, 5944, 267, 519, 2132, 540, 1480, 3788, 22991, 6394, 543, 17820, 1134, 883, 519, 476, 736, 628, 2540, 2066, 519, 11782, 269, 12670, 779, 15882, 4805, 1869, 11876, 731, 5215, 540, 3979, 15693, 338, 543, 824, 3788, 269, 2368, 4563, 17417, 267, 971, 607, 19664, 334, 3752, 27332, 945, 5747, 538, 21499, 538, 476, 9692, 277, 267, 941, 544, 17026, 1881, 543, 17820, 1310, 741, 2669, 269, 769, 824, 1913, 267, 519, 2078, 1063, 21517, 267, 15882, 267, 543, 9945, 593, 519, 835, 1688, 543, 4563, 17417, 593, 519, 824, 267, 568, 811, 982, 9808, 9853, 269, 2755, 4563, 17417, 543, 20338, 941, 5828, 883, 3621, 19494, 267, 741, 1378, 2686, 543, 7214, 2504, 729, 711, 16363, 26656, 540, 10655, 563, 15239, 11383, 267, 972, 616, 9118, 2959, 540, 4563, 1272, 547, 581, 1336, 2066, 519, 11782, 269, 2368, 538, 4013, 21517, 267, 971, 607, 12670, 779, 11786, 670, 3518, 1245, 339, 17072, 267, 8027, 606, 11999, 4015, 540, 968, 12061, 26049, 892, 1148, 602, 1419, 729, 9715, 998, 7810, 17403, 269, 2368, 538, 2146, 267, 4074, 1686, 267, 610, 9194, 21517, 269, 3371, 267, 2853, 540, 4994, 532, 1419, 10460, 2042, 538, 4466, 15244, 540, 4563, 2729, 607, 9583, 9243, 3157, 540, 11008, 1944, 543, 21458, 21287, 2326, 540, 1576, 2992, 8789, 11994, 543, 9420, 9634, 269, 3487, 540, 519, 24099, 5692, 540, 519, 1788, 568, 547, 22740, 1125, 1053, 547, 891, 6214, 540, 2895, 1516, 543, 547, 16491, 873, 609, 4052, 2994, 538, 16042, 21517, 563, 7661, 267, 972, 616, 513, 1906, 21517, 267, 971, 607, 12670, 779, 3962, 2290, 17546, 2290, 630, 292, 5588, 302, 1070, 12799, 13991, 547, 4563, 12583, 269, 1452, 5624, 616, 1419, 15321, 9141, 543, 3668, 6190, 2200, 267, 519, 3059, 21287, 1788, 786, 1489, 2516, 899, 891, 609, 917, 24376, 543, 998, 7857, 1436, 540, 2326, 269, 589, 1713, 2179, 540, 1570, 267, 2705, 267, 3788, 538, 4357, 10070, 538, 1367, 5321, 269, 1452, 2326, 616, 2523, 3348, 13895, 2094, 741, 5411, 798, 711, 723, 519, 1797, 610, 6791, 547, 8190, 873, 5265, 543, 616, 1419, 7142, 547, 1167, 731, 891, 9048, 2897, 762, 2326, 269, 2290, 14849, 3804, 540, 713, 1788, 568, 547, 1376, 7857, 1944, 891, 2326, 1354, 789, 616, 4503, 11014, 563, 763, 3059, 21287, 786, 4196, 607, 606, 2228, 23789, 585, 891, 2326, 1247, 789, 786, 2611, 538, 741, 3312, 6753, 1107, 851, 540, 519, 5692, 540, 519, 1788, 568, 547, 6318, 4656, 540, 519, 6228, 543, 2956, 540, 891, 6054, 543, 547, 1489, 8942, 693, 13936, 873, 12725, 538, 7850, 5624, 269, 634, 3059, 21287, 786, 849, 4196, 607, 513, 4786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3686, 284, 9169, 9876, 314, 737, 5257, 314, 343, 316, 2652, 476, 276, 2073, 737, 20572, 3910, 1535, 6540, 454, 326, 1161, 596, 692, 13997, 330, 20572, 316, 9847, 630, 276, 1535, 317, 273, 8358, 273, 1341, 595, 314, 272, 316, 1341, 1535, 595, 314, 273, 316, 3686, 7531, 6518, 1281, 1683, 596, 609, 519, 3070, 540, 707, 11186, 3830, 602, 596, 666, 946, 899, 713, 1384, 338, 565, 1315, 269, 2715, 290, 314, 272, 316, 9847, 476, 272, 267, 595, 314, 273, 316, 9847, 476, 274, 10926, 28949, 737, 20572, 316, 9847, 476, 272, 1341, 476, 274, 1535, 1341, 630, 276, 1535, 317, 273, 8358, 273, 2608, 9239, 528, 899, 713, 692, 802, 565, 815, 9577, 314, 346, 343, 9574, 21414, 25208, 20572, 316, 1315, 269, 1151, 1315, 269, 2715, 290, 314, 272, 316, 9847, 476, 272, 267, 595, 314, 273, 316, 9847, 476, 274, 348, 316, 6540, 28949, 9577, 314, 346, 343, 9574, 476, 272, 1341, 476, 274, 1535, 1341, 630, 276, 1535, 317, 273, 8358, 273, 316, 2608, 2020, 802, 565, 314, 276, 6540, 28949, 476, 14991, 270, 273, 2608, 9239, 528, 899, 713, 692, 802, 565, 815, 9577, 314, 346, 343, 267, 524, 272, 267, 524, 273, 348, 2676, 24066, 10663, 25208, 20572, 316, 1315, 269, 1151, 1315, 269, 2715, 290, 314, 272, 316, 9847, 524, 272, 267, 595, 314, 273, 316, 9847, 524, 273, 348, 316, 6540, 28949, 9577, 314, 346, 343, 267, 524, 272, 267, 524, 273, 9574, 524, 272, 1341, 524, 273, 1535, 1341, 630, 276, 1535, 317, 273, 8358, 273, 316, 2608, 2020, 802, 565, 314, 276, 267, 476, 272, 267, 476, 274, 6540, 28949, 476, 14991, 270, 273, 2608, 2020, 1892, 11289, 596, 865, 1454, 563, 1700, 1109, 306, 2529, 563, 4467, 7757, 9484, 476, 2767, 267, 476, 1001, 280, 693, 476, 276, 281, 4366, 454, 1892, 7711, 306, 2529, 269, 2201, 519, 2034, 2219, 594, 6415, 711, 865, 2386, 602, 781, 28879, 2953, 269, 1703, 616, 930, 3165, 344, 8090, 281, 476, 272, 264, 1946, 616, 596, 1210, 1079, 1114, 16755, 538, 513, 1412, 291, 314, 13216, 291, 25208, 314, 3519, 24503, 622, 314, 345, 316, 3910, 1230, 24503, 622, 314, 345, 316, 3910, 1990, 316, 262, 7790, 476, 273, 264, 2219, 1290, 24128, 291, 314, 13216, 291, 25208, 314, 3519, 24503, 622, 314, 345, 316, 3910, 1230, 24503, 622, 314, 345, 316, 3910, 1990, 316, 1175, 3947, 476, 271, 1862, 476, 274, 264, 546, 314, 325, 3287, 264, 4501, 501, 316, 11459, 17342, 4206, 3287, 264, 11459, 316, 4501, 501, 1152, 585, 535, 281, 681, 15010, 290, 799, 4667, 547, 711, 581, 3020, 1934, 476, 275, 264, 8347, 532, 547, 13182, 6913, 3070, 676, 8380, 621, 883, 519, 3312, 744, 14701, 667, 314, 4467, 14658, 291, 314, 802, 565, 314, 3519, 24503, 622, 314, 345, 3910, 476, 271, 267, 476, 272, 3910, 1230, 24503, 622, 314, 345, 316, 3910, 1990, 316, 594, 3893, 476, 276, 667, 314, 3519, 24503, 622, 314, 345, 3910, 345, 316, 799, 568, 3160, 547, 476, 276, 476, 858, 667, 314, 3519, 24503, 622, 314, 345, 3910, 345, 316, 2652, 476, 272, 799, 568, 1391, 514, 762, 269, 1290, 7757, 9484, 476, 2767, 267, 476, 1001, 280, 693, 476, 277, 281, 5881, 0, 276, 269, 274, 295, 17006, 543, 16265, 24219, 17773, 609, 7429, 32159, 454, 28588, 28588, 28588, 28588, 28588, 28588, 28588, 28588, 28588, 28588, 454, 2421, 15593, 4471, 595, 872, 802, 454, 347, 476, 280, 5999, 454, 272, 454, 272, 454, 274, 270, 277, 1341, 476, 272, 270, 277, 21591, 288, 476, 272, 270, 274, 454, 289, 476, 273, 270, 274, 454, 290, 476, 275, 270, 277, 454, 291, 476, 274, 270, 274, 454, 273, 454, 272, 454, 273, 270, 280, 1341, 476, 272, 270, 274, 21591, 288, 476, 276, 270, 280, 454, 289, 476, 273, 270, 274, 454, 290, 476, 278, 270, 280, 454, 291, 476, 279, 270, 280, 454, 274, 454, 272, 454, 272, 476, 273, 270, 274, 1341, 476, 275, 476, 273, 270, 274, 630, 272, 543, 476, 273, 270, 274, 1341, 476, 275, 543, 476, 273, 270, 274, 264, 21591, 288, 476, 276, 543, 476, 272, 270, 274, 454, 289, 476, 276, 543, 476, 273, 270, 274, 454, 290, 476, 277, 543, 476, 272, 270, 274, 454, 291, 476, 277, 543, 476, 273, 270, 274, 454, 275, 454, 272, 454, 278, 270, 279, 1341, 476, 272, 270, 275, 21591, 288, 476, 272, 543, 476, 272, 270, 1626, 454, 289, 476, 272, 543, 476, 278, 270, 279, 454, 290, 476, 272, 543, 476, 272, 270, 279, 454, 291, 476, 272, 543, 476, 272, 270, 275, 454, 276, 454, 272, 454, 278, 270, 279, 910, 476, 272, 270, 273, 454, 288, 476, 272, 270, 279, 454, 289, 476, 273, 270, 279, 454, 290, 476, 272, 270, 275, 454, 291, 476, 274, 270, 279, 454, 277, 454, 272, 454, 274, 270, 279, 910, 476, 272, 270, 279, 21591, 288, 476, 272, 270, 279, 454, 289, 476, 272, 270, 275, 454, 290, 476, 272, 270, 1321, 454, 291, 476, 274, 270, 275, 454, 278, 454, 272, 454, 1103, 513, 4677, 267, 4544, 2548, 26506, 19582, 476, 278, 1315, 1015, 540, 519, 4677, 269, 2991, 5162, 267, 519, 4544, 2548, 26506, 3262, 547, 3382, 1776, 476, 272, 1315, 476, 276, 540, 519, 4677, 269, 1548, 6824, 540, 519, 4677, 568, 1631, 4988, 538, 4544, 2548, 26506, 888, 288, 476, 272, 270, 276, 454, 289, 476, 272, 270, 273, 454, 290, 476, 279, 270, 1015, 454, 291, 476, 280, 270, 1015, 454, 279, 454, 272, 454, 299, 532, 568, 1210, 6824, 17446, 547, 1039, 476, 273, 270, 274, 543, 476, 278, 270, 1321, 1547, 634, 2040, 568, 835, 2898, 267, 7132, 875, 1082, 1000, 1409, 2195, 888, 288, 476, 272, 454, 289, 476, 273, 454, 290, 476, 274, 454, 291, 476, 275, 454, 280, 454, 272, 454, 297, 10224, 3096, 476, 272, 270, 276, 2148, 547, 1216, 513, 1507, 2030, 267, 543, 646, 3096, 476, 272, 270, 273, 2148, 547, 1216, 513, 1804, 2030, 269, 3767, 646, 814, 476, 273, 270, 1015, 2148, 2451, 538, 519, 8486, 7815, 269, 1215, 1454, 1216, 1705, 20844, 723, 538, 519, 4098, 888, 288, 476, 274, 270, 276, 454, 289, 476, 280, 270, 1015, 454, 290, 476, 272, 270, 1015, 454, 291, 476, 274, 270, 1015, 0, 272, 269, 22217, 1518, 519, 1739, 2472, 563, 259, 263, 272, 8573, 7565, 272, 266, 337, 264, 815, 14204, 259, 263, 272, 8573, 7565, 272, 266, 337, 266, 337, 317, 273, 264, 815, 14204, 259, 263, 272, 8573, 7565, 272, 266, 337, 266, 337, 317, 273, 266, 337, 317, 274, 264, 815, 14204, 259, 263, 272, 8573, 7565, 272, 266, 337, 266, 337, 317, 273, 266, 337, 317, 274, 266, 1422, 26984, 1341, 678, 18898, 264, 815, 14204, 273, 269, 27539, 1269, 337, 315, 928, 336, 476, 272, 10608, 4635, 1018, 596, 7229, 1657, 267, 1265, 513, 6806, 27322, 4082, 585, 519, 1739, 13113, 2040, 563, 259, 272, 266, 337, 266, 337, 317, 273, 266, 337, 317, 274, 266, 1422, 26984, 1341, 678, 18898, 815, 6911, 2791, 666, 7118, 9864, 5491, 593, 713, 1966, 269, 0, 1724, 267, 15704, 267, 4817, 277, 2818, 630, 4817, 267, 7597, 272, 2228, 994, 531, 1181, 894, 4528, 692, 2971, 853, 1846, 692, 27038, 269, 275, 298, 5784, 454, 11152, 1433, 5658, 539, 454, 16829, 476, 1428, 4924, 476, 1220, 276, 692, 258, 1323, 11530, 9219, 1852, 538, 595, 258, 692, 267, 476, 2537, 4924, 476, 1220, 276, 454, 15580, 713, 912, 1692, 547, 1118, 606, 12746, 9219, 1852, 538, 595, 258, 780, 1012, 4985, 692, 1607, 2376, 2982, 875, 547, 1711, 606, 12746, 9219, 1852, 538, 595, 258, 1210, 2241, 543, 3608, 8193, 267, 543, 971, 602, 621, 4188, 338, 3294, 8164, 759, 1242, 547, 1007, 7516, 269, 1703, 616, 1978, 5468, 547, 1118, 519, 1852, 2688, 14184, 269, 9861, 513, 5057, 267, 649, 666, 1039, 938, 1852, 547, 519, 1907, 7901, 267, 6749, 621, 593, 513, 1106, 267, 543, 2721, 621, 547, 1022, 10155, 267, 621, 786, 1413, 5386, 780, 1607, 2376, 568, 585, 596, 952, 596, 616, 1007, 547, 595, 258, 8060, 855, 3833, 5432, 609, 595, 258, 543, 922, 16105, 269, 898, 849, 17648, 602, 596, 723, 930, 2596, 1702, 540, 1164, 1153, 6128, 780, 1012, 17461, 692, 2414, 1376, 609, 938, 9219, 267, 649, 991, 930, 6128, 269, 634, 7158, 540, 3946, 538, 513, 9219, 616, 9138, 538, 8701, 11282, 1062, 269, 634, 8792, 10774, 712, 270, 16149, 2418, 616, 4986, 855, 513, 1599, 540, 519, 16070, 12761, 540, 519, 1688, 269, 9747, 267, 649, 723, 547, 2328, 930, 3009, 547, 6460, 713, 8701, 7274, 547, 513, 14328, 835, 1317, 595, 258, 12449, 3085, 1406, 1174, 8701, 11282, 1062, 282, 649, 723, 547, 14574, 519, 1535, 543, 586, 10974, 540, 519, 1688, 780, 2171, 1101, 991, 547, 1265, 519, 2418, 540, 1699, 942, 780, 3499, 14630, 11742, 4266, 11742, 815, 11261, 11742, 269, 3086, 3248, 842, 5662, 815, 4266, 11742, 13034, 712, 4939, 476, 1321, 282, 12262, 849, 17838, 476, 2190, 327, 3464, 547, 476, 1321, 327, 3464, 3898, 454, 842, 8792, 815, 4266, 11742, 8160, 514, 1393, 3248, 842, 3813, 815, 4266, 11742, 2529, 324, 1718, 282, 7884, 2171, 723, 547, 6460, 891, 2418, 547, 32494, 269, 769, 835, 2347, 10047, 540, 513, 1688, 267, 972, 616, 476, 11740, 5232, 630, 2784, 2103, 264, 855, 1152, 476, 1321, 3108, 282, 865, 547, 6460, 3108, 547, 32494, 267, 649, 723, 547, 2328, 1384, 319, 15615, 5662, 305, 6598, 815, 5662, 2608, 476, 11740, 270, 1321, 2608, 28697, 270, 5197, 282, 26384, 20118, 267, 607, 972, 616, 476, 2568, 3764, 630, 663, 7643, 264, 585, 835, 10047, 267, 649, 666, 1439, 909, 609, 519, 1739, 1106, 27909, 1384, 3499, 15615, 1295, 305, 6598, 815, 8792, 2608, 476, 11740, 270, 2568, 2608, 28697, 270, 5197, 3248, 15615, 3813, 305, 6598, 815, 3813, 2608, 476, 11740, 270, 2568, 2608, 28697, 270, 5197, 282, 7884, 3086, 519, 1152, 3364, 2451, 568, 547, 6460, 891, 8701, 9424, 547, 14328, 3283, 865, 602, 649, 666, 2721, 513, 1899, 630, 8518, 264, 1210, 1535, 543, 586, 10974, 269, 2913, 781, 11291, 938, 1153, 6128, 1106, 27909, 547, 4194, 713, 1966, 780, 3499, 311, 815, 678, 265, 6523, 263, 4120, 994, 312, 815, 678, 265, 7562, 263, 4120, 264, 7884, 3719, 972, 568, 835, 1966, 609, 713, 281, 513, 9219, 29226, 538, 9219, 30150, 6073, 1247, 938, 8701, 1062, 29226, 538, 4550, 12641, 1442, 3772, 6073, 282, 865, 952, 649, 946, 519, 1657, 4542, 2047, 267, 519, 3977, 786, 581, 606, 968, 13548, 892, 540, 519, 9219, 630, 328, 4318, 1421, 15914, 538, 4550, 12641, 1442, 3772, 4287, 1040, 1677, 723, 713, 1966, 12193, 267, 1577, 781, 538, 3200, 519, 2990, 540, 20534, 543, 25482, 538, 519, 1657, 1106, 27909, 281, 8754, 267, 938, 3009, 547, 2981, 519, 2990, 540, 9219, 1688, 630, 1080, 1439, 1448, 264, 689, 8701, 547, 14328, 1062, 786, 581, 1384, 3499, 15615, 5662, 17484, 11592, 311, 815, 3259, 1993, 295, 712, 21652, 2608, 3590, 8160, 987, 2529, 514, 22607, 712, 305, 6598, 994, 15615, 5662, 17484, 11592, 312, 815, 3259, 1993, 295, 712, 21652, 2608, 3590, 8160, 987, 5861, 657, 22607, 712, 305, 6598, 264, 7884, 3086, 649, 4076, 2944, 782, 519, 7004, 267, 621, 781, 942, 547, 2721, 513, 1899, 689, 519, 8998, 540, 519, 9219, 547, 519, 1439, 9557, 540, 519, 3946, 269, 1284, 666, 798, 1945, 899, 1384, 319, 18118, 263, 22487, 311, 267, 4099, 312, 267, 5662, 17484, 11592, 311, 267, 5662, 17484, 11592, 312, 23375, 692, 763, 1657, 3009, 1568, 5386, 855, 713, 568, 513, 3059, 2864, 982, 606, 12746, 9219, 538, 519, 2631, 602, 5662, 1688, 568, 1152, 8242, 1310, 835, 3003, 5662, 269, 1280, 3236, 267, 7747, 707, 9219, 950, 942, 2242, 689, 476, 280, 281, 6795, 547, 476, 1015, 281, 876, 267, 519, 5662, 1688, 7575, 689, 476, 280, 547, 476, 1015, 2047, 269, 1284, 991, 547, 798, 1945, 971, 602, 519, 5662, 1688, 849, 10311, 922, 2990, 1310, 1169, 8792, 269, 1280, 713, 267, 1577, 721, 1331, 6824, 540, 3764, 538, 519, 9819, 540, 5662, 32494, 267, 607, 5205, 1384, 3499, 15615, 5662, 815, 4266, 11742, 13034, 712, 260, 1321, 1341, 630, 15615, 264, 11845, 11742, 8160, 514, 1393, 270, 2568, 454, 15615, 5662, 305, 6598, 815, 5662, 2608, 476, 11740, 270, 1321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1152, 513, 7008, 540, 3275, 1354, 519, 11400, 18468, 602, 513, 1906, 4374, 540, 1353, 476, 1015, 3108, 513, 1554, 786, 581, 7850, 547, 1118, 909, 585, 513, 1032, 540, 10714, 269, 2755, 972, 568, 1100, 971, 3364, 607, 513, 2048, 323, 3518, 2875, 8730, 713, 4990, 540, 4640, 666, 1152, 581, 4330, 607, 31945, 563, 6624, 1053, 7900, 14605, 538, 19174, 616, 538, 1249, 5393, 6505, 269, 1717, 267, 585, 1082, 4128, 513, 2603, 540, 6505, 1053, 1166, 10133, 27268, 711, 2547, 1813, 547, 519, 1249, 602, 6505, 3214, 616, 849, 1360, 5827, 540, 1818, 31945, 3664, 563, 763, 5048, 568, 2241, 267, 952, 596, 1616, 547, 1780, 267, 2322, 538, 519, 960, 269, 5213, 1406, 2503, 519, 27803, 540, 8429, 1310, 27830, 513, 1032, 1510, 1818, 1022, 4674, 269, 634, 5491, 568, 16523, 952, 596, 798, 1134, 267, 543, 865, 568, 519, 16620, 952, 596, 798, 711, 269, 7490, 267, 798, 711, 16620, 707, 3610, 267, 707, 1153, 267, 519, 2069, 1062, 610, 519, 2229, 269, 21744, 707, 3610, 267, 707, 15032, 267, 707, 1153, 543, 4376, 3116, 568, 2469, 547, 1118, 2370, 3017, 1510, 513, 1689, 538, 707, 1378, 1353, 6208, 2336, 306, 15471, 538, 1272, 568, 3710, 593, 2921, 2407, 5539, 585, 835, 779, 3664, 269, 2334, 568, 513, 2596, 32563, 585, 5373, 4245, 689, 9073, 269, 1411, 666, 1376, 3001, 593, 519, 1318, 2619, 676, 9301, 707, 1378, 5539, 538, 519, 7436, 596, 1205, 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 ]
[ 13012, 476, 279, 267, 14096, 269, 1321, 476, 24496, 330, 693, 476, 275, 269, 1724, 260, 585, 476, 276, 13012, 476, 279, 267, 15782, 269, 1556, 476, 24496, 330, 693, 476, 275, 269, 1691, 260, 585, 476, 276, 13012, 476, 279, 267, 14530, 269, 1015, 476, 24496, 330, 693, 476, 275, 269, 1428, 260, 585, 476, 276, 13012, 476, 279, 267, 15836, 269, 6021, 476, 24496, 330, 693, 476, 275, 269, 1626, 260, 585, 476, 276, 13012, 476, 279, 267, 13670, 269, 5400, 476, 24496, 330, 693, 476, 275, 269, 1704, 260, 585, 476, 276, 13012, 476, 279, 267, 15389, 269, 5881, 476, 24496, 330, 693, 476, 275, 269, 1240, 260, 585, 476, 276, 13012, 476, 279, 267, 16928, 269, 6187, 476, 24496, 330, 693, 476, 275, 269, 866, 260, 585, 476, 276, 13012, 476, 279, 267, 15221, 269, 4962, 476, 24496, 330, 693, 476, 275, 269, 273, 260, 585, 476, 276, 13012, 476, 279, 267, 16960, 269, 6860, 476, 24496, 330, 693, 476, 275, 269, 2641, 260, 585, 476, 276, 13012, 476, 279, 267, 13970, 269, 6734, 476, 24496, 330, 693, 476, 275, 269, 2420, 260, 585, 476, 276, 13012, 476, 279, 267, 15704, 269, 6734, 476, 24496, 330, 693, 476, 275, 269, 2537, 260, 585, 476, 276, 13012, 476, 279, 267, 14983, 269, 6349, 476, 24496, 330, 693, 476, 275, 269, 2190, 260, 585, 476, 276, 13012, 476, 279, 267, 14681, 269, 4905, 476, 24496, 330, 693, 476, 275, 269, 1839, 260, 585, 476, 276, 13012, 476, 279, 267, 14631, 269, 876, 476, 24496, 330, 693, 476, 275, 269, 2918, 260, 585, 476, 276, 13012, 476, 279, 267, 14028, 269, 876, 476, 24496, 330, 693, 476, 275, 269, 2767, 260, 585, 476, 276, 13012, 476, 279, 267, 14444, 269, 4200, 476, 24496, 330, 693, 476, 275, 269, 2764, 260, 585, 476, 276, 13012, 476, 279, 267, 15647, 269, 4200, 476, 24496, 330, 693, 476, 275, 269, 3066, 260, 585, 476, 276, 13012, 476, 279, 267, 8182, 269, 7176, 476, 24496, 330, 693, 476, 275, 269, 274, 260, 585, 476, 276, 13012, 476, 279, 267, 14341, 269, 9032, 476, 24496, 330, 693, 476, 275, 269, 4029, 260, 585, 476, 276, 13012, 476, 279, 267, 13932, 269, 9032, 476, 24496, 330, 693, 476, 275, 269, 3953, 260, 585, 476, 276, 13012, 476, 279, 267, 14917, 269, 9834, 476, 24496, 330, 693, 476, 275, 269, 3451, 260, 585, 476, 276, 13012, 476, 279, 267, 12739, 269, 9834, 476, 24496, 330, 693, 476, 275, 269, 4097, 260, 585, 476, 276, 13012, 476, 279, 267, 10204, 269, 9834, 476, 24496, 330, 693, 476, 275, 269, 3374, 260, 585, 476, 276, 13012, 476, 279, 267, 15094, 269, 4817, 476, 24496, 330, 693, 476, 275, 269, 3607, 260, 585, 476, 276, 13012, 476, 279, 267, 14690, 269, 4817, 476, 24496, 330, 693, 476, 275, 269, 4391, 260, 585, 476, 276, 13012, 476, 279, 267, 12293, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 4343, 260, 585, 476, 276, 13012, 476, 279, 267, 9965, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 4375, 260, 585, 476, 276, 13012, 476, 279, 267, 5197, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 275, 260, 585, 476, 276, 13012, 476, 279, 267, 9264, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 6078, 260, 585, 476, 276, 13012, 476, 279, 267, 7277, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 5655, 260, 585, 476, 276, 13012, 476, 279, 267, 5908, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 6246, 260, 585, 476, 276, 13012, 476, 279, 267, 6642, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 4510, 260, 585, 476, 276, 13012, 476, 279, 267, 5002, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 3393, 260, 585, 476, 276, 13012, 476, 279, 267, 4572, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 5379, 260, 585, 476, 276, 13012, 476, 279, 267, 3707, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 5325, 260, 585, 476, 276, 13012, 476, 279, 267, 3422, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 4366, 260, 585, 476, 276, 13012, 476, 279, 267, 2735, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 5392, 260, 585, 476, 276, 13012, 476, 279, 267, 1220, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 276, 260, 585, 476, 276, 13012, 476, 279, 267, 1708, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 7906, 260, 585, 476, 276, 13012, 476, 279, 267, 14225, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 7367, 260, 585, 476, 276, 13012, 476, 279, 267, 18684, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 7871, 260, 585, 476, 276, 13012, 476, 279, 267, 21172, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 7918, 260, 585, 476, 276, 13012, 476, 279, 267, 13975, 269, 11152, 476, 24496, 330, 693, 476, 275, 269, 4649, 260, 585, 476, 276, 13012, 476, 279, 267, 18891, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 6321, 260, 585, 476, 276, 13012, 476, 279, 267, 20969, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 6872, 260, 585, 476, 276, 13012, 476, 279, 267, 21327, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 6812, 260, 585, 476, 276, 13012, 476, 279, 267, 25908, 269, 11463, 476, 24496, 330, 693, 476, 275, 269, 6795, 260, 585, 476, 276, 13012, 476, 279, 267, 13136, 269, 4817, 476, 24496, 330, 693, 476, 275, 269, 277, 260, 585, 476, 276, 13012, 476, 279, 267, 19442, 269, 4817, 476, 24496, 330, 693, 476, 275, 269, 8618, 260, 585, 476, 276, 13012, 476, 279, 267, 23470, 269, 4817, 476, 24496, 330, 693, 476, 275, 269, 7830, 260, 585, 476, 276, 13012, 476, 279, 267, 26297, 269, 9834, 476, 24496, 330, 693, 476, 275, 269, 8287, 260, 585, 476, 276, 13012, 476, 279, 267, 25248, 269, 9834, 476, 24496, 330, 693, 476, 275, 269, 5038, 260, 585, 476, 276, 13012, 476, 279, 267, 15996, 269, 9032, 476, 24496, 330, 693, 476, 275, 269, 4792, 260, 585, 476, 276, 13012, 476, 279, 267, 22446, 269, 9032, 476, 24496, 330, 693, 476, 275, 269, 5780, 260, 585, 476, 276, 13012, 476, 279, 267, 23056, 269, 7176, 476, 24496, 330, 693, 476, 275, 269, 6858, 260, 585, 476, 276, 13012, 476, 279, 267, 26951, 269, 7176, 476, 24496, 330, 693, 476, 275, 269, 6924, 260, 585, 476, 276, 13012, 476, 279, 267, 24487, 269, 4200, 476, 24496, 330, 693, 476, 275, 269, 7597, 260, 585, 476, 276, 13012, 476, 279, 267, 25240, 269, 876, 476, 24496, 330, 693, 476, 275, 269, 278, 260, 585, 476, 276, 13012, 476, 279, 267, 25838, 269, 876, 476, 24496, 330, 693, 476, 275, 269, 10170, 260, 585, 476, 276, 13012, 476, 279, 267, 25090, 269, 4905, 476, 24496, 330, 693, 476, 275, 269, 7761, 260, 585, 476, 276, 13012, 476, 279, 267, 26316, 269, 6349, 476, 24496, 330, 693, 476, 275, 269, 10463, 260, 585, 476, 276, 13012, 476, 279, 267, 27149, 269, 6734, 476, 24496, 330, 693, 476, 275, 269, 10619, 260, 585, 476, 276, 13012, 476, 279, 267, 25172, 269, 6734, 476, 24496, 330, 693, 476, 275, 269, 4037, 260, 585, 476, 276, 13012, 476, 279, 267, 26562, 269, 6860, 476, 24496, 330, 693, 476, 275, 269, 10602, 260, 585, 476, 276, 13012, 476, 279, 267, 14838, 269, 4962, 476, 24496, 330, 693, 476, 275, 269, 6507, 260, 585, 476, 276, 13012, 476, 279, 267, 27038, 269, 6187, 476, 24496, 330, 693, 476, 275, 269, 4281, 260, 585, 476, 276, 13012, 476, 279, 267, 28796, 269, 5881, 476, 24496, 330, 693, 476, 275, 269, 8064, 260, 585, 476, 276, 13012, 476, 279, 267, 28360, 269, 5400, 476, 24496, 330, 693, 476, 275, 269, 279, 260, 585, 476, 276, 13012, 476, 279, 267, 28091, 269, 6021, 476, 24496, 330, 693, 476, 275, 269, 10037, 260, 585, 476, 276, 13012, 476, 279, 267, 25228, 269, 1015, 476, 24496, 330, 693, 476, 275, 269, 11025, 260, 585, 476, 276, 13012, 476, 279, 267, 29045, 269, 1556, 476, 24496, 330, 693, 476, 275, 269, 10695, 260, 585, 476, 276, 13012, 476, 279, 267, 29483, 269, 1321, 476, 24496, 330, 693, 476, 275, 269, 10019, 260, 585, 476, 276, 13012, 476, 279, 267, 27244, 269, 1724, 476, 24496, 330, 693, 476, 275, 269, 5952, 260, 585, 476, 276, 13012, 476, 279, 267, 24129, 269, 1691, 476, 24496, 330, 693, 476, 275, 269, 10436, 260, 585, 476, 276, 13012, 476, 279, 267, 22550, 269, 1428, 476, 24496, 330, 693, 476, 275, 269, 9262, 260, 585, 476, 276, 13012, 476, 279, 267, 28071, 269, 1626, 476, 24496, 330, 693, 476, 275, 269, 6434, 260, 585, 476, 276, 13012, 476, 279, 267, 29344, 269, 1704, 476, 24496, 330, 693, 476, 275, 269, 8660, 260, 585, 476, 276, 13012, 476, 279, 267, 27005, 269, 866, 476, 24496, 330, 693, 476, 275, 269, 280, 260, 585, 476, 276, 13012, 476, 279, 267, 27543, 269, 736, 476, 24496, 330, 693, 476, 275, 269, 11011, 260, 585, 476, 276, 13012, 476, 279, 267, 26326, 269, 2641, 476, 24496, 330, 693, 476, 275, 269, 10844, 260, 585, 476, 276, 13012, 476, 279, 267, 27868, 269, 2537, 476, 24496, 330, 693, 476, 275, 269, 11152, 260, 585, 476, 276, 13012, 476, 279, 267, 29579, 269, 2190, 476, 24496, 330, 693, 476, 275, 269, 11463, 260, 585, 476, 276, 13012, 476, 279, 267, 29720, 269, 1839, 476, 24496, 330, 693, 476, 275, 269, 4817, 260, 585, 476, 276, 13012, 476, 279, 267, 27840, 269, 2767, 476, 24496, 330, 693, 476, 275, 269, 9834, 260, 585, 476, 276, 13012, 476, 279, 267, 27768, 269, 2764, 476, 24496, 330, 693, 476, 275, 269, 9032, 260, 585, 476, 276, 13012, 476, 279, 267, 29574, 269, 1789, 476, 24496, 330, 693, 476, 275, 269, 7176, 260, 585, 476, 276, 13012, 476, 279, 267, 26482, 269, 4029, 476, 24496, 330, 693, 476, 275, 269, 4200, 260, 585, 476, 276, 13012, 476, 279, 267, 22145, 269, 3451, 476, 24496, 330, 693, 476, 276, 260, 585, 476, 276, 13012, 476, 279, 267, 24062, 269, 4097, 476, 24496, 330, 693, 476, 276, 269, 4905, 260, 585, 476, 276, 13012, 476, 279, 267, 25134, 269, 3607, 476, 24496, 330, 693, 476, 276, 269, 6349, 260, 585, 476, 276, 13012, 476, 279, 267, 28906, 269, 4343, 476, 24496, 330, 693, 476, 276, 269, 6734, 260, 585, 476, 276, 13012, 476, 279, 267, 29616, 269, 4375, 476, 24496, 330, 693, 476, 276, 269, 6860, 260, 585, 476, 276, 13012, 476, 279, 267, 25313, 269, 6078, 476, 24496, 330, 693, 476, 276, 269, 4962, 260, 585, 476, 276, 13012, 476, 279, 267, 27123, 269, 6246, 476, 24496, 330, 693, 476, 276, 269, 6187, 260, 585, 476, 276, 13012, 476, 279, 267, 25628, 269, 4510, 476, 24496, 330, 693, 476, 276, 269, 5881, 260, 585, 476, 276, 13012, 476, 279, 267, 28766, 269, 5379, 476, 24496, 330, 693, 476, 276, 269, 5400, 260, 585, 476, 276, 13012, 476, 279, 267, 29204, 269, 4366, 476, 24496, 330, 693, 476, 276, 269, 6021, 260, 585, 476, 276, 13012, 476, 279, 267, 25834, 269, 2004, 476, 24496, 330, 693, 476, 276, 269, 272, 260, 585, 476, 276, 13012, 476, 279, 267, 26825, 269, 7367, 476, 24496, 330, 693, 476, 276, 269, 1556, 260, 585, 476, 276, 13012, 476, 279, 267, 23283, 269, 7918, 476, 24496, 330, 693, 476, 276, 269, 1321, 260, 585, 476, 276, 13012, 476, 279, 267, 27628, 269, 4649, 476, 24496, 330, 693, 476, 276, 269, 1724, 260, 585, 476, 276, 13012, 476, 279, 267, 31696, 269, 6872, 476, 24496, 330, 693, 476, 276, 269, 1691, 260, 585, 476, 276, 13012, 476, 279, 267, 28664, 269, 6795, 476, 24496, 330, 693, 476, 276, 269, 1428, 260, 585, 476, 276, 13012, 476, 279, 267, 18357, 269, 8618, 476, 24496, 330, 693, 476, 276, 269, 1626, 260, 585, 476, 276, 13012, 476, 279, 267, 28178, 269, 8287, 476, 24496, 330, 693, 476, 276, 269, 1704, 260, 585, 476, 276, 13012, 476, 279, 267, 29876, 269, 5780, 476, 24496, 330, 693, 476, 276, 269, 1240, 260, 585, 476, 276, 13012, 476, 279, 267, 26552, 269, 6924, 476, 24496, 330, 693, 476, 276, 269, 866, 260, 585, 476, 276, 13012, 476, 279, 267, 30130, 269, 3583, 476, 24496, 330, 693, 476, 276, 269, 273, 260, 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 ]
[ 0, 290, 269, 844, 29184, 630, 12663, 323, 264, 568, 513, 2249, 1369, 519, 2030, 1920, 16441, 641, 17377, 576, 2801, 630, 294, 5366, 20584, 610, 28522, 15634, 7731, 1040, 1703, 616, 5111, 476, 9873, 271, 2249, 540, 524, 1156, 641, 16104, 5001, 267, 8151, 689, 5993, 11922, 547, 4054, 269, 1975, 514, 778, 267, 581, 1115, 267, 4006, 581, 1115, 267, 669, 731, 543, 3134, 1794, 1774, 732, 2818, 540, 16441, 641, 17377, 576, 2801, 609, 513, 1164, 2804, 1871, 269, 25994, 689, 595, 269, 844, 29184, 616, 1031, 607, 513, 23611, 7693, 267, 2943, 1317, 540, 713, 2030, 779, 6371, 6438, 5920, 621, 568, 9286, 7762, 534, 1227, 607, 513, 968, 335, 12065, 334, 576, 9418, 1848, 25994, 540, 595, 269, 844, 29184, 267, 4122, 5219, 547, 607, 844, 29184, 267, 723, 513, 1279, 1686, 538, 3162, 3013, 607, 513, 8192, 7110, 563, 763, 2371, 723, 1044, 16916, 538, 519, 1656, 6756, 1164, 4133, 2094, 476, 274, 267, 1822, 645, 5861, 269, 630, 307, 777, 807, 476, 2735, 273, 1040, 769, 519, 6581, 577, 7699, 1893, 540, 519, 5549, 553, 267, 844, 29184, 568, 968, 577, 27599, 5984, 544, 4821, 892, 610, 968, 15948, 10286, 1848, 769, 5053, 267, 621, 568, 844, 29184, 267, 4645, 334, 1651, 320, 267, 610, 818, 549, 345, 1642, 1325, 16210, 680, 8457, 269, 12594, 689, 844, 29184, 568, 1759, 593, 922, 11254, 3679, 5888, 267, 1164, 1543, 540, 7513, 267, 16903, 267, 4401, 267, 543, 1970, 9770, 1543, 269, 16441, 11340, 18754, 844, 29184, 814, 513, 15280, 2389, 8463, 15098, 593, 1142, 6079, 602, 14014, 621, 689, 1373, 13881, 676, 5017, 538, 519, 2361, 269, 901, 568, 1141, 18682, 13908, 568, 8659, 543, 1590, 581, 6569, 1354, 519, 10286, 568, 11273, 543, 13881, 563, 290, 1335, 1227, 267, 18682, 517, 1231, 1331, 513, 2039, 540, 1644, 7135, 269, 634, 18682, 517, 1231, 540, 16441, 641, 18754, 844, 29184, 602, 616, 519, 2930, 3446, 3742, 12146, 630, 307, 294, 9590, 264, 540, 8946, 296, 2048, 338, 1587, 1899, 267, 616, 519, 2101, 18682, 13908, 23466, 538, 519, 1349, 540, 595, 269, 844, 29184, 5452, 267, 799, 5097, 1331, 5111, 1226, 574, 6897, 5666, 540, 519, 512, 31581, 335, 2940, 536, 1938, 21573, 573, 545, 9848, 6523, 1938, 540, 522, 14211, 4301, 3679, 267, 646, 1457, 10402, 514, 267, 543, 20239, 565, 3147, 10402, 545, 3679, 269, 0, 268, 476, 272, 269, 667, 816, 543, 9608, 21931, 454, 268, 630, 22998, 609, 9660, 994, 268, 3267, 827, 2123, 8456, 267, 4606, 543, 4664, 267, 3284, 3205, 779, 3961, 267, 9821, 267, 4978, 267, 1514, 4441, 543, 5683, 2418, 540, 519, 1554, 269, 9603, 547, 713, 2123, 3693, 7915, 538, 519, 9660, 267, 9754, 8436, 4429, 268, 476, 273, 269, 476, 3192, 271, 338, 1401, 22128, 267, 22540, 454, 268, 630, 307, 2454, 2984, 609, 9660, 994, 268, 3267, 7521, 269, 634, 4664, 8375, 689, 6752, 9840, 540, 602, 942, 616, 5310, 519, 2601, 1946, 621, 568, 513, 19463, 21305, 6752, 281, 12029, 689, 4357, 5411, 4847, 513, 3833, 8966, 6752, 9496, 799, 1223, 4429, 323, 836, 2730, 476, 736, 628, 2540, 10002, 22326, 1416, 10655, 3609, 12928, 9231, 7201, 18875, 16222, 22786, 1284, 3058, 14266, 4571, 1326, 12284, 601, 19173, 30040, 3009, 7735, 23346, 19173, 4027, 4806, 23824, 15248, 538, 6519, 1650, 6805, 9082, 30824, 7291, 19173, 18307, 324, 576, 14708, 10344, 512, 520, 1154, 30824, 6752, 762, 10571, 6464, 2239, 22805, 16035, 25347, 321, 3073, 16836, 14603, 6095, 614, 7114, 11103, 476, 866, 628, 2540, 16797, 15863, 1957, 15438, 262, 23157, 7114, 17234, 15324, 5726, 2098, 15120, 340, 10887, 6283, 15827, 1236, 7398, 23694, 3318, 10571, 16463, 2245, 4664, 6752, 25573, 23694, 23824, 30927, 12725, 1500, 9660, 28001, 626, 29075, 3560, 2923, 7344, 11226, 12319, 634, 570, 31122, 4132, 0, 13510, 2747, 543, 519, 5113, 454, 303, 335, 269, 476, 272, 268, 4375, 630, 4375, 994, 289, 550, 334, 590, 269, 632, 20917, 657, 454, 763, 1459, 3184, 3568, 1344, 827, 519, 1764, 540, 18229, 593, 454, 29514, 8337, 543, 6257, 519, 2872, 19647, 547, 2569, 8511, 3154, 454, 655, 3827, 269, 901, 3184, 849, 9382, 594, 7563, 302, 779, 3646, 538, 9591, 3853, 543, 454, 5503, 18134, 910, 3327, 9243, 676, 476, 1708, 271, 543, 476, 2004, 260, 5786, 593, 476, 1220, 276, 15977, 910, 547, 2829, 543, 454, 8114, 2722, 547, 2569, 18229, 5533, 269, 589, 4396, 968, 19177, 30346, 541, 892, 11036, 729, 1305, 676, 519, 454, 8114, 2722, 609, 519, 6662, 547, 2232, 971, 513, 3077, 267, 6236, 9541, 538, 454, 6016, 1049, 5773, 267, 5989, 267, 2029, 543, 2344, 2861, 3800, 563, 6097, 547, 519, 2487, 2090, 267, 10512, 5773, 543, 9283, 538, 454, 8882, 5509, 949, 711, 581, 6190, 547, 9585, 519, 594, 7563, 302, 3853, 609, 1699, 454, 23855, 1670, 1533, 540, 1148, 269, 30404, 6639, 7835, 267, 5631, 1644, 547, 454, 2908, 2011, 18134, 543, 2599, 6272, 543, 2035, 616, 8197, 2808, 519, 1034, 2500, 454, 663, 9621, 3800, 609, 1761, 547, 1291, 547, 4492, 4398, 9283, 909, 547, 454, 1839, 260, 950, 3379, 609, 476, 1220, 276, 2157, 269, 2060, 713, 5133, 267, 4492, 4398, 568, 454, 2041, 5765, 811, 543, 811, 4143, 538, 8484, 1374, 2553, 269, 15379, 6472, 949, 454, 2041, 513, 14320, 267, 952, 711, 7357, 267, 513, 851, 540, 519, 2666, 6283, 18239, 538, 4947, 454, 20657, 3547, 269, 589, 1353, 729, 17298, 538, 519, 1459, 960, 547, 7447, 519, 6871, 540, 454, 822, 2747, 538, 2910, 273, 5434, 543, 6846, 2157, 6236, 513, 20406, 2810, 18239, 540, 454, 19491, 3740, 6472, 936, 942, 269, 634, 10423, 3932, 568, 602, 1256, 950, 10962, 454, 321, 1470, 30669, 538, 18229, 4238, 267, 741, 2671, 538, 5533, 3379, 547, 1459, 2157, 786, 454, 560, 650, 20406, 2333, 543, 1491, 909, 513, 5458, 6871, 540, 782, 6283, 5533, 269, 901, 454, 15884, 581, 606, 5571, 1184, 909, 547, 519, 1032, 476, 13078, 271, 5103, 519, 2949, 12998, 20214, 563, 1103, 824, 1913, 267, 972, 568, 9645, 2963, 602, 18229, 786, 581, 811, 543, 811, 538, 454, 325, 1371, 630, 663, 1514, 27791, 2604, 264, 2429, 519, 1296, 3823, 519, 23435, 294, 454, 655, 3827, 269, 901, 1249, 15069, 25040, 519, 13766, 585, 9283, 538, 454, 1515, 8154, 270, 19956, 6272, 267, 4244, 5179, 1436, 267, 543, 824, 2959, 540, 1648, 547, 454, 11391, 1077, 8484, 1949, 543, 2087, 10512, 31931, 563, 13510, 2747, 267, 589, 7878, 1374, 267, 589, 7878, 5434, 267, 11272, 1286, 2676, 5319, 1444, 267, 23556, 4398, 267, 6820, 8337, 563, 288, 7878, 5071, 4972, 2382, 527, 19513, 570, 1815, 333, 860, 4815, 632, 17224, 517, 2246, 3821, 630, 3951, 288, 264, 590, 7776, 8277, 13121, 6682, 1842, 267, 590, 7776, 6754, 334, 8478, 269, 0, 763, 772, 2529, 269, 2817, 7909, 545, 543, 27321, 10029, 779, 29036, 30656, 3163, 4741, 5063, 2322, 2947, 3532, 10916, 7405, 2059, 519, 29036, 18626, 15808, 2736, 547, 6432, 547, 519, 4992, 1500, 676, 16385, 267, 23522, 543, 824, 7286, 2249, 543, 547, 6895, 5836, 6846, 538, 2489, 269, 898, 779, 851, 540, 513, 3084, 4674, 547, 3715, 513, 3060, 547, 6895, 1279, 3856, 2242, 538, 1175, 875, 26776, 519, 5836, 568, 563, 3528, 9591, 513, 1279, 3856, 30857, 268, 6016, 730, 3060, 540, 6846, 4704, 10473, 2429, 519, 772, 2529, 269, 1401, 5477, 9483, 18630, 267, 10199, 909, 547, 476, 1220, 5195, 21369, 267, 30857, 666, 6895, 1279, 3856, 2242, 543, 3466, 538, 519, 14015, 19355, 3280, 2361, 689, 782, 2959, 267, 1519, 1480, 2534, 543, 2831, 602, 2661, 538, 891, 7297, 563, 10376, 6728, 568, 18611, 585, 835, 3562, 26690, 1296, 1354, 1373, 16626, 543, 28099, 23903, 269, 634, 1239, 6394, 689, 519, 10473, 786, 1683, 513, 15977, 585, 1018, 5836, 3280, 2157, 616, 1631, 267, 875, 789, 616, 4657, 936, 942, 267, 543, 875, 1480, 2238, 616, 18363, 7286, 1272, 563, 307, 523, 6846, 4704, 10473, 9280, 609, 1970, 4908, 12809, 17974, 2594, 619, 2919, 676, 30857, 779, 7414, 13149, 7025, 12524, 723, 1044, 5665, 538, 772, 2529, 269, 7297, 2094, 4728, 476, 1001, 275, 269, 1703, 616, 1614, 971, 1207, 9081, 1055, 519, 772, 2529, 269, 5101, 11076, 281, 835, 538, 853, 749, 342, 10402, 7813, 2817, 13149, 5842, 551, 4231, 267, 835, 1055, 31869, 2471, 7813, 1063, 519, 1715, 4789, 1530, 26920, 338, 267, 543, 835, 1055, 8419, 593, 29965, 17934, 879, 563, 10376, 6728, 2882, 513, 1305, 540, 13387, 6007, 14617, 7405, 1572, 28920, 2158, 602, 6432, 585, 6846, 689, 513, 3099, 540, 2959, 269, 2859, 6846, 4704, 10473, 616, 1373, 18611, 538, 2824, 6753, 676, 519, 2817, 5244, 6796, 267, 1519, 835, 538, 519, 12144, 269, 0, 1805, 3994, 569, 4045, 539, 22020, 454, 2690, 519, 14230, 540, 713, 3184, 649, 786, 2490, 938, 3007, 547, 930, 5393, 1804, 11708, 269, 634, 11708, 649, 786, 946, 547, 1353, 930, 3606, 6620, 616, 519, 11708, 3812, 676, 519, 4296, 1063, 14747, 593, 519, 5769, 543, 519, 6402, 1063, 1357, 3817, 269, 1284, 786, 2253, 609, 1357, 3817, 563, 15507, 9817, 899, 5616, 543, 29078, 17908, 519, 1249, 602, 519, 3817, 593, 519, 1357, 1106, 513, 1360, 1804, 9859, 3113, 269, 1677, 2981, 519, 2622, 22453, 5680, 883, 513, 3113, 267, 649, 786, 1521, 513, 2985, 607, 513, 14584, 267, 543, 519, 5409, 31904, 593, 519, 2985, 607, 8728, 8220, 835, 14584, 547, 1776, 269, 634, 14745, 2630, 2982, 513, 1360, 1507, 851, 540, 519, 3113, 3812, 676, 1739, 519, 6402, 689, 835, 2985, 547, 519, 1985, 267, 4098, 693, 13162, 5441, 779, 8950, 3163, 1753, 2985, 269, 2986, 1576, 267, 713, 3113, 1223, 581, 5458, 267, 865, 649, 723, 3908, 621, 547, 1357, 4609, 602, 616, 1100, 811, 982, 476, 1015, 6402, 2476, 689, 519, 11483, 1753, 2985, 563, 2252, 596, 1353, 519, 3113, 1657, 596, 1522, 1118, 930, 4277, 7422, 269, 3689, 596, 1522, 5469, 602, 1082, 540, 519, 824, 1357, 4609, 593, 519, 3113, 616, 824, 13162, 5441, 1357, 4609, 269, 5822, 267, 596, 1522, 5469, 602, 972, 616, 1896, 6402, 547, 824, 12621, 538, 19578, 269, 12059, 267, 596, 1522, 5469, 602, 972, 616, 1896, 6402, 547, 824, 12666, 6575, 12621, 269, 1411, 1522, 9959, 689, 713, 602, 972, 568, 930, 5817, 2497, 547, 519, 1357, 602, 13421, 1927, 1357, 4609, 602, 616, 2147, 593, 930, 1377, 563, 3080, 3113, 5690, 602, 666, 948, 1265, 13421, 540, 3810, 10562, 14622, 538, 513, 3113, 568, 1572, 519, 9244, 4448, 3334, 5690, 630, 306, 6717, 1040, 1284, 18005, 5581, 513, 9244, 4448, 5057, 267, 2073, 540, 513, 3113, 2073, 607, 519, 4102, 15410, 540, 14622, 971, 602, 585, 1169, 6292, 540, 14622, 649, 723, 513, 2619, 689, 547, 543, 513, 2619, 689, 547, 1547, 634, 14745, 2630, 2982, 513, 2241, 3113, 609, 1614, 9244, 4448, 3334, 269, 634, 9244, 4448, 3334, 616, 4857, 676, 519, 1114, 26484, 2127, 563, 5629, 519, 9244, 4448, 3334, 723, 1044, 4857, 649, 666, 1397, 513, 16866, 2070, 540, 519, 3113, 676, 9256, 782, 519, 14622, 538, 835, 9244, 4448, 5057, 883, 513, 2582, 3677, 14584, 269, 634, 16866, 4528, 540, 519, 3113, 1657, 568, 3254, 2630, 563, 5629, 1586, 649, 786, 1294, 602, 649, 666, 1711, 513, 1360, 3532, 543, 3608, 5690, 676, 1818, 946, 540, 513, 3178, 1101, 3406, 269, 6969, 649, 10994, 519, 1292, 590, 6717, 5690, 649, 1590, 1413, 693, 835, 824, 4214, 269, 634, 1098, 2821, 540, 513, 3113, 568, 3989, 607, 519, 3113, 1141, 782, 519, 8728, 538, 519, 3113, 723, 1044, 20328, 269, 2334, 568, 267, 952, 972, 568, 513, 9859, 6316, 689, 6843, 589, 547, 6843, 645, 538, 519, 3312, 3113, 1287, 786, 2270, 606, 6316, 689, 6843, 645, 547, 6843, 589, 269, 634, 12222, 2630, 1397, 513, 2241, 3113, 543, 922, 1098, 6570, 563, 30860, 602, 519, 11708, 1657, 723, 519, 1482, 1079, 9244, 4448, 3334, 563, 2171, 666, 1631, 4766, 519, 5690, 547, 12337, 519, 9244, 4448, 3334, 585, 513, 3113, 563, 268, 9524, 513, 3178, 1101, 3406, 585, 519, 3113, 547, 12337, 519, 9096, 2053, 585, 1142, 14584, 563, 268, 30770, 4586, 268, 9524, 513, 3178, 1101, 3406, 585, 519, 3113, 855, 538, 519, 1292, 8520, 2263, 1142, 14584, 538, 13302, 1931, 540, 9096, 942, 563, 268, 3962, 3529, 538, 519, 4104, 17223, 538, 1900, 476, 274, 568, 513, 9244, 4448, 5057, 269, 19243, 519, 14584, 476, 1749, 585, 1142, 14584, 538, 1142, 3529, 538, 519, 4104, 547, 2697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10610, 267, 543, 31522, 454, 16908, 666, 3006, 1745, 899, 513, 627, 20071, 13388, 267, 7683, 14053, 938, 3007, 543, 1648, 269, 769, 519, 14784, 540, 3232, 13467, 543, 9021, 267, 621, 779, 2653, 547, 10714, 6000, 543, 2322, 938, 1378, 2115, 593, 519, 1394, 14315, 518, 269, 1717, 267, 1582, 13282, 568, 711, 513, 17195, 282, 621, 568, 606, 1898, 2259, 585, 4509, 513, 2635, 2247, 267, 1560, 267, 543, 9997, 563, 21982, 1416, 540, 6000, 568, 711, 513, 25796, 957, 267, 855, 2864, 606, 957, 540, 1582, 25535, 3569, 269, 3807, 899, 513, 1286, 2115, 2834, 5826, 547, 1599, 5688, 958, 267, 649, 1932, 991, 547, 20741, 938, 2168, 267, 2790, 267, 543, 3929, 1134, 5630, 269, 26875, 1944, 1582, 13282, 2636, 721, 547, 22507, 267, 29915, 622, 267, 543, 3068, 1272, 779, 2591, 609, 17105, 15131, 563, 3383, 267, 1946, 568, 1582, 13282, 865, 1271, 286, 2913, 779, 2263, 519, 1114, 3344, 540, 1582, 13282, 543, 875, 789, 3565, 547, 938, 2949, 1134, 5630, 563, 301, 4669, 1005, 2659, 9650, 454, 5978, 8186, 616, 6909, 267, 1950, 9988, 602, 2154, 29454, 543, 1416, 269, 12056, 538, 2238, 602, 12954, 938, 12058, 666, 3986, 938, 5042, 5759, 543, 2949, 2790, 1072, 269, 7335, 2835, 267, 6061, 13410, 267, 1565, 1007, 1983, 267, 610, 1256, 2502, 538, 3860, 18129, 899, 7206, 610, 1603, 666, 948, 721, 2226, 2790, 9355, 543, 2087, 938, 1966, 9010, 1983, 563, 12234, 267, 2921, 942, 585, 11009, 2853, 971, 607, 9066, 610, 30998, 666, 948, 9350, 519, 2247, 267, 2569, 2566, 267, 543, 2333, 1582, 18221, 269, 1635, 8508, 891, 2238, 267, 649, 1711, 513, 2318, 1604, 585, 938, 8186, 547, 8853, 563, 301, 4669, 1005, 2659, 10610, 454, 9617, 607, 938, 8186, 2154, 29454, 267, 938, 4703, 991, 1697, 1416, 547, 1599, 693, 741, 1655, 269, 8682, 13282, 585, 519, 1560, 3322, 12561, 2635, 6208, 971, 607, 2834, 3635, 267, 4189, 14312, 6980, 267, 543, 3478, 2614, 3207, 563, 8777, 1645, 538, 2168, 2238, 711, 1152, 10607, 938, 2168, 1072, 855, 849, 13847, 1439, 6973, 1231, 267, 519, 1745, 3766, 797, 10399, 602, 5818, 938, 7099, 543, 2333, 8788, 269, 898, 666, 581, 607, 2241, 607, 2469, 585, 513, 3802, 538, 2470, 267, 15472, 547, 707, 5172, 2575, 267, 610, 8026, 10649, 547, 1832, 707, 1560, 3742, 543, 10069, 1242, 563, 21982, 1416, 540, 938, 4703, 849, 3322, 6947, 547, 922, 2115, 269, 1403, 649, 616, 13110, 267, 938, 4703, 616, 10213, 721, 547, 1964, 269, 1403, 649, 616, 17237, 267, 938, 4703, 616, 10213, 721, 547, 16138, 880, 6000, 269, 1635, 18245, 543, 14775, 547, 891, 6786, 267, 649, 666, 2226, 513, 18900, 2078, 609, 938, 4703, 563, 301, 4669, 1005, 2659, 31522, 454, 763, 9997, 267, 1419, 5219, 547, 607, 519, 9759, 540, 938, 1373, 267, 6159, 1407, 14637, 543, 4276, 269, 8682, 13282, 585, 519, 9997, 3322, 2502, 538, 2238, 602, 3142, 721, 7772, 267, 4708, 267, 543, 5289, 2208, 269, 898, 666, 581, 4376, 602, 20383, 609, 938, 2418, 543, 2306, 721, 1745, 9800, 563, 21010, 532, 609, 2470, 267, 7836, 2298, 942, 609, 6068, 3283, 267, 13197, 12348, 610, 3860, 18653, 267, 610, 8026, 14696, 616, 782, 2081, 547, 20741, 938, 20339, 269, 1452, 2238, 1683, 721, 609, 513, 2631, 540, 3483, 267, 20106, 267, 543, 6418, 4708, 269, 1635, 1818, 942, 585, 519, 1919, 602, 16138, 880, 938, 20339, 267, 649, 11349, 513, 4514, 1620, 540, 6000, 543, 938, 1747, 538, 519, 1158, 563, 21615, 571, 1424, 513, 5020, 540, 8682, 4211, 732, 454, 1103, 938, 3728, 19550, 267, 646, 8157, 2729, 267, 621, 779, 2653, 547, 26777, 519, 4644, 540, 1582, 13282, 269, 1717, 267, 676, 9301, 922, 2956, 543, 1818, 621, 513, 10862, 267, 649, 666, 1995, 7096, 2318, 2242, 538, 938, 2729, 563, 20236, 13282, 568, 711, 1175, 513, 835, 6066, 2680, 610, 17573, 1521, 282, 621, 779, 513, 15400, 7029, 547, 938, 1134, 5630, 269, 1635, 9846, 8026, 1582, 13282, 267, 649, 1628, 6043, 267, 2087, 938, 2168, 543, 2790, 1072, 267, 543, 11349, 513, 4514, 4276, 609, 6000, 543, 1866, 563, 3383, 267, 1577, 779, 8661, 519, 2956, 540, 1582, 13282, 543, 9784, 513, 1272, 540, 16138, 5109, 938, 8186, 267, 4703, 267, 543, 20339, 269, 5457, 267, 2921, 1416, 540, 6000, 568, 711, 513, 17195, 855, 513, 13766, 563, 8266, 7089, 476, 280, 281, 634, 5440, 476, 1015, 18467, 547, 30205, 2659, 27065, 454, 1103, 2221, 779, 3728, 19550, 1158, 267, 5876, 814, 1831, 811, 1271, 982, 2479, 1354, 269, 6787, 596, 2461, 606, 7376, 267, 513, 5856, 267, 610, 1175, 2576, 3168, 547, 1589, 3544, 519, 4216, 267, 4466, 2081, 547, 5818, 707, 3860, 3206, 666, 723, 513, 7096, 1764, 593, 707, 1272, 269, 1924, 267, 1510, 2417, 740, 334, 267, 1577, 779, 5490, 883, 519, 27630, 6221, 593, 938, 1592, 540, 519, 1283, 476, 1015, 2081, 547, 5818, 707, 5876, 2336, 280, 269, 28259, 23126, 609, 7822, 454, 8624, 832, 723, 513, 7415, 2702, 547, 18427, 4664, 267, 12954, 519, 2247, 267, 543, 8300, 3860, 3206, 269, 1635, 4478, 3054, 609, 7524, 4778, 267, 596, 666, 1711, 513, 28292, 543, 18398, 1604, 602, 7512, 707, 9345, 547, 865, 541, 563, 5331, 6972, 883, 513, 4055, 13556, 538, 18707, 540, 24106, 5835, 267, 5836, 4544, 267, 610, 18932, 3039, 282, 14678, 267, 707, 7099, 568, 10575, 26661, 267, 543, 707, 2247, 568, 4904, 609, 11995, 7399, 269, 6787, 621, 779, 998, 707, 3903, 540, 7718, 267, 519, 11247, 596, 4159, 267, 610, 519, 9660, 596, 5957, 267, 6220, 513, 3099, 540, 4778, 883, 707, 3232, 1272, 666, 723, 513, 7096, 1764, 593, 707, 3860, 14820, 563, 21760, 3797, 267, 849, 1634, 607, 6985, 8839, 267, 814, 1044, 1031, 585, 5553, 547, 3986, 7099, 267, 13468, 2566, 267, 543, 1256, 3895, 2168, 7067, 269, 1924, 1946, 711, 10244, 519, 1379, 540, 4778, 547, 5818, 707, 5876, 888, 3080, 1259, 547, 3295, 3054, 609, 2681, 568, 676, 2870, 513, 5075, 4604, 269, 12338, 856, 5961, 689, 17476, 602, 13469, 609, 707, 3860, 17050, 543, 6582, 873, 593, 513, 524, 1251, 4580, 610, 3774, 269, 3245, 12050, 18116, 540, 5862, 547, 10347, 1216, 10233, 12383, 267, 1577, 519, 4778, 593, 707, 5075, 4604, 4492, 707, 9345, 543, 8300, 707, 1985, 20100, 563, 5194, 1259, 547, 9784, 2681, 568, 676, 3695, 519, 1158, 540, 1148, 269, 16731, 26847, 610, 15882, 543, 23365, 3054, 538, 519, 7524, 11453, 560, 15809, 540, 4583, 26719, 269, 2913, 519, 24698, 543, 18565, 25407, 707, 12823, 267, 5337, 1746, 513, 3595, 1369, 596, 547, 4603, 609, 1114, 5493, 22863, 543, 2553, 563, 12234, 267, 2015, 6220, 10477, 2609, 883, 707, 29683, 269, 6787, 596, 960, 538, 606, 5604, 610, 689, 1753, 267, 4946, 1402, 338, 540, 2681, 998, 11380, 17960, 267, 6728, 2044, 267, 610, 1256, 513, 10477, 11380, 11381, 666, 1118, 513, 1713, 3017, 538, 707, 3860, 3977, 563, 11101, 267, 1810, 1406, 1175, 3970, 3054, 547, 519, 3308, 2460, 540, 2681, 269, 18918, 707, 824, 12823, 1932, 256, 28259, 3054, 609, 519, 4992, 540, 2470, 267, 971, 607, 5017, 669, 597, 4771, 610, 6329, 1835, 4770, 267, 547, 1711, 513, 25695, 5605, 4800, 602, 7512, 5876, 269, 15331, 609, 1085, 757, 267, 899, 1045, 580, 528, 908, 20521, 610, 22196, 32175, 267, 602, 666, 948, 596, 3251, 5059, 543, 6273, 2429, 519, 1554, 563, 8855, 267, 4778, 723, 519, 1379, 547, 3310, 938, 4555, 543, 4664, 269, 1635, 4478, 3054, 609, 513, 7524, 29984, 267, 596, 666, 1711, 606, 5790, 602, 4384, 919, 513, 2318, 543, 28292, 1533, 540, 2247, 267, 3850, 707, 5876, 547, 21707, 563, 3383, 267, 1577, 707, 1158, 581, 513, 7524, 17198, 267, 4904, 609, 4778, 602, 1118, 707, 2295, 2206, 543, 707, 9345, 7544, 269, 22737, 519, 1379, 540, 2681, 267, 543, 4585, 607, 707, 5876, 10301, 1007, 15627, 563, 323, 25128, 976, 543, 22645, 4055, 7718, 0, 18183, 12787, 568, 513, 3339, 851, 540, 1272, 563, 296, 1087, 1132, 609, 2792, 543, 21390, 616, 1419, 513, 2707, 540, 4655, 267, 607, 616, 3604, 538, 6788, 267, 8369, 267, 4978, 543, 2418, 269, 1717, 4655, 568, 1360, 1114, 547, 6469, 5208, 267, 538, 799, 972, 568, 513, 20982, 6057, 540, 1379, 543, 1852, 936, 1776, 1268, 563, 2304, 1383, 540, 4948, 4655, 1522, 581, 713, 281, 952, 594, 9244, 1871, 4626, 17165, 543, 1250, 3659, 568, 7683, 7432, 909, 3735, 950, 649, 723, 4566, 1927, 267, 594, 6557, 2469, 547, 1376, 4743, 26416, 995, 269, 594, 1522, 1256, 2243, 2436, 1250, 3659, 2418, 938, 2078, 269, 2701, 4440, 814, 1100, 2856, 540, 519, 1198, 1200, 4234, 8864, 568, 2348, 593, 803, 1317, 1352, 3085, 1406, 1747, 519, 1482, 1871, 593, 1373, 593, 942, 269, 769, 1249, 267, 1352, 3085, 1406, 1416, 693, 782, 952, 2576, 7725, 909, 3368, 606, 5662, 3735, 585, 6995, 2336, 7197, 7526, 666, 581, 7753, 998, 2312, 19908, 543, 2792, 269, 1809, 713, 666, 581, 4101, 950, 2178, 4664, 616, 3238, 269, 1879, 7526, 616, 2241, 789, 666, 581, 17251, 835, 6823, 14633, 267, 855, 3006, 3544, 1489, 1522, 581, 2877, 267, 971, 607, 606, 31717, 18657, 1807, 1107, 1776, 1268, 945, 666, 6432, 547, 1312, 5011, 540, 519, 1650, 543, 948, 1265, 513, 3070, 602, 3025, 666, 2661, 609, 563, 2467, 616, 1614, 1292, 1919, 547, 1832, 538, 2247, 950, 596, 7237, 4655, 912, 268, 3816, 664, 16614, 3248, 268, 19415, 547, 519, 824, 1268, 3248, 268, 9484, 26147, 519, 1268, 689, 519, 1966, 563, 2691, 2021, 616, 2713, 1927, 538, 513, 9675, 267, 1141, 789, 616, 4687, 519, 2230, 267, 4655, 666, 8451, 689, 3604, 538, 13467, 267, 15970, 6163, 543, 2157, 540, 27194, 269, 3509, 2021, 723, 4810, 8194, 543, 666, 581, 4393, 513, 2603, 540, 2352, 4664, 267, 799, 666, 9594, 4655, 267, 1932, 563, 763, 1883, 547, 5329, 1272, 18900, 568, 20547, 7526, 607, 789, 8451, 269, 1284, 782, 917, 875, 6757, 606, 796, 637, 9407, 4655, 666, 1831, 952, 2451, 547, 31652, 9944, 519, 2627, 256, 2755, 5634, 2152, 666, 1419, 581, 18808, 609, 835, 6823, 14633, 267, 3006, 3063, 1489, 568, 5363, 269, 2311, 12844, 22448, 779, 267, 649, 3180, 2777, 11401, 1169, 11728, 3781, 693, 938, 1201, 1872, 525, 267, 607, 513, 1259, 540, 7234, 1022, 2152, 602, 616, 18363, 593, 519, 2021, 543, 3885, 945, 616, 2713, 972, 563, 763, 11401, 616, 20291, 676, 835, 540, 938, 7731, 20709, 543, 3025, 814, 513, 4960, 547, 3717, 543, 581, 19557, 547, 563, 5472, 540, 519, 2021, 945, 946, 938, 3028, 723, 1569, 547, 513, 7731, 4518, 518, 267, 945, 666, 849, 1489, 873, 609, 20547, 519, 7526, 538, 741, 2729, 563, 18183, 12787, 568, 1175, 851, 540, 1373, 1480, 269, 898, 4523, 547, 3025, 269, 1809, 1565, 547, 4383, 4655, 568, 513, 2462, 1900, 2509, 1072, 267, 8788, 543, 513, 811, 12560, 1158, 2336, 24309, 676, 1325, 2581, 631, 0, 15900, 17959, 540, 12266, 8535, 454, 292, 5118, 1014, 2575, 814, 513, 1279, 543, 3638, 1686, 267, 6580, 1394, 936, 476, 276, 267, 1822, 1296, 269, 15845, 540, 6258, 689, 713, 5363, 1570, 266, 339, 2354, 892, 285, 9596, 689, 713, 5363, 1570, 666, 581, 2938, 538, 519, 9246, 30735, 338, 1336, 593, 3504, 9723, 2125, 543, 17633, 267, 799, 6813, 12372, 543, 25249, 7900, 538, 1585, 5468, 269, 8535, 729, 606, 7533, 851, 540, 3504, 12266, 2528, 267, 609, 12372, 543, 2206, 619, 30939, 1271, 5107, 538, 3909, 18428, 267, 607, 1134, 607, 693, 1514, 19771, 543, 15976, 563, 14813, 26475, 540, 12428, 543, 3979, 8535, 593, 12266, 8535, 454, 763, 1646, 540, 12266, 2575, 729, 6766, 676, 519, 1585, 4529, 602, 723, 13026, 5527, 936, 519, 5553, 269, 2290, 540, 519, 7887, 7506, 593, 12266, 2575, 814, 1044, 6259, 2575, 267, 799, 729, 4547, 547, 5527, 998, 519, 7332, 21037, 538, 519, 476, 278, 628, 2540, 269, 12428, 2575, 568, 1634, 585, 922, 946, 540, 6946, 18819, 543, 23964, 267, 543, 891, 2609, 723, 1185, 513, 5458, 1764, 593, 4207, 12266, 2575, 269, 3979, 2575, 814, 849, 5129, 513, 1713, 1909, 538, 519, 1646, 540, 12266, 2575, 267, 3226, 538, 519, 7013, 4525, 540, 5527, 267, 1141, 519, 715, 889, 1014, 1004, 723, 741, 1378, 3982, 7574, 5389, 269, 28150, 811, 1702, 827, 519, 1641, 593, 713, 5007, 3135, 649, 4076, 6074, 585, 596, 269, 5527, 26829, 4663, 267, 3136, 707, 1565, 3460, 2336, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 368, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 478, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 486, 414, 352, 356, 414, 510, 353, 414, 510, 370, 414, 510, 496, 414, 510, 504, 414, 510, 489, 414, 510, 487, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 352, 378, 414, 350, 491, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 510, 414, 352, 378, 414, 352, 360, 414, 352, 511, 414, 352, 371, 414, 510, 370, 414, 351, 370, 414, 352, 353, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 372, 414, 352, 484, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 370, 414, 510, 370, 414, 510, 500, 414, 510, 504, 414, 510, 505, 414, 510, 505, 414, 352, 373, 414, 510, 493, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 368, 414, 510, 505, 414, 510, 505, 414, 510, 487, 414, 350, 479, 414, 510, 478, 414, 510, 478, 414, 510, 503, 414, 510, 375, 414, 352, 379, 414, 352, 371, 414, 352, 482, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 373, 414, 350, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 510, 414, 350, 493, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 352, 368, 414, 352, 379, 414, 352, 379, 414, 350, 371, 414, 510, 371, 414, 351, 379, 414, 352, 355, 414, 352, 353, 414, 352, 486, 414, 350, 503, 414, 351, 379, 414, 352, 379, 414, 351, 484, 414, 352, 368, 414, 352, 353, 414, 350, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 372, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 478, 414, 510, 478, 414, 352, 510, 414, 352, 353, 414, 350, 478, 414, 352, 372, 414, 350, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 352, 353, 414, 352, 379, 414, 352, 379, 414, 352, 509, 414, 352, 358, 414, 352, 353, 414, 352, 368, 414, 352, 353, 414, 352, 490, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 355, 414, 352, 373, 414, 352, 379, 414, 351, 479, 414, 352, 379, 414, 352, 379, 414, 352, 482, 414, 352, 478, 414, 350, 478, 414, 510, 478, 414, 351, 372, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 478, 414, 351, 510, 414, 352, 379, 414, 510, 489, 414, 510, 375, 414, 351, 379, 414, 350, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 372, 414, 350, 379, 414, 510, 379, 414, 510, 505, 414, 351, 355, 414, 352, 377, 414, 352, 379, 414, 352, 379, 414, 351, 375, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 510, 489, 414, 510, 479, 414, 510, 502, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 376, 414, 352, 356, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 478, 414, 351, 372, 414, 352, 379, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 503, 414, 510, 484, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 496, 414, 510, 379, 414, 352, 379, 414, 352, 363, 414, 352, 376, 414, 352, 379, 414, 350, 379, 414, 510, 509, 414, 510, 481, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 505, 414, 352, 379, 414, 350, 509, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 454, 414, 510, 478, 414, 351, 372, 414, 352, 356, 414, 352, 368, 414, 352, 379, 414, 350, 509, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 374, 414, 510, 509, 414, 510, 481, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 503, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 351, 479, 414, 352, 478, 414, 352, 478, 414, 352, 478, 414, 352, 478, 414, 352, 478, 414, 352, 510, 414, 352, 478, 414, 352, 478, 414, 351, 478, 414, 351, 478, 414, 351, 478, 454, 414, 510, 478, 414, 510, 478, 414, 351, 379, 414, 510, 379, 414, 352, 379, 414, 350, 482, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 486, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 350, 484, 414, 510, 503, 414, 510, 505, 414, 510, 505, 414, 510, 503, 414, 351, 375, 414, 352, 370, 414, 352, 370, 414, 352, 378, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 379, 414, 352, 379, 414, 350, 485, 414, 510, 478, 414, 510, 502, 414, 510, 481, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 478, 414, 350, 508, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 350, 509, 414, 351, 379, 414, 352, 379, 414, 352, 484, 414, 510, 478, 414, 352, 372, 414, 510, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 351, 482, 414, 350, 376, 414, 510, 479, 414, 351, 478, 414, 352, 478, 414, 350, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 355, 414, 352, 482, 414, 510, 478, 414, 352, 510, 414, 350, 482, 414, 352, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 371, 414, 352, 361, 414, 351, 375, 414, 352, 379, 414, 350, 379, 414, 510, 479, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 502, 414, 352, 356, 414, 352, 364, 414, 352, 379, 414, 350, 379, 414, 510, 379, 414, 510, 355, 414, 351, 353, 414, 352, 368, 414, 352, 379, 414, 352, 379, 414, 352, 371, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 379, 414, 352, 379, 414, 352, 372, 414, 352, 379, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 486, 414, 510, 505, 414, 510, 505, 414, 510, 505, 414, 510, 496, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 509, 414, 510, 373, 414, 352, 376, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 454, 414, 352, 379, 414, 510, 372, 414, 352, 379, 414, 352, 379, 414, 350, 485, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 510, 478, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 270, 1633, 2275, 1478, 1689, 2079, 538, 513, 29990, 14099, 454, 268, 590, 13850, 9655, 267, 918, 918, 7354, 267, 772, 681, 3570, 267, 918, 590, 681, 7776, 267, 918, 717, 29017, 6511, 454, 268, 4750, 540, 519, 4095, 5980, 540, 22647, 11576, 532, 590, 5746, 27887, 264, 590, 4596, 303, 4785, 454, 268, 22219, 538, 476, 1960, 277, 454, 268, 24764, 4032, 454, 18204, 1674, 540, 6552, 15392, 1239, 609, 824, 8901, 270, 12061, 1606, 6312, 658, 1239, 729, 5645, 856, 1210, 8121, 290, 270, 2562, 23859, 3301, 10189, 269, 589, 2241, 8760, 4480, 729, 7550, 585, 2244, 3382, 270, 1633, 14025, 1689, 9382, 538, 6935, 547, 15038, 267, 9386, 267, 2460, 543, 6915, 12641, 574, 1738, 5049, 269, 2672, 527, 1464, 4879, 540, 2244, 1141, 6694, 10137, 7018, 1063, 476, 3422, 274, 543, 476, 1960, 274, 729, 1500, 1210, 22944, 3301, 10189, 269, 28841, 540, 6683, 543, 729, 1336, 547, 581, 5021, 538, 476, 13136, 271, 268, 13301, 271, 544, 15038, 7997, 543, 476, 736, 1700, 1789, 4113, 9386, 5049, 269, 1879, 1283, 4919, 3344, 941, 2808, 7269, 729, 5021, 593, 5045, 7532, 543, 7178, 6849, 19527, 269, 634, 2530, 540, 3543, 531, 3382, 568, 6059, 547, 581, 476, 1428, 829, 1298, 1063, 476, 3422, 274, 1700, 1960, 274, 269, 1717, 20344, 540, 4104, 729, 1336, 547, 581, 5021, 538, 15038, 9832, 540, 476, 8182, 271, 1700, 1220, 271, 25451, 543, 6140, 2348, 476, 736, 1700, 1789, 4113, 3328, 9386, 267, 8092, 21324, 936, 519, 1079, 11837, 5712, 729, 4857, 543, 2994, 941, 6700, 547, 11574, 519, 1966, 563, 2252, 596, 11578, 8100, 998, 519, 6075, 4099, 267, 519, 4704, 1344, 786, 581, 10805, 607, 4166, 607, 2009, 269, 0, 763, 4670, 568, 6273, 676, 682, 342, 529, 1286, 2651, 779, 3209, 620, 823, 779, 9035, 538, 4898, 1633, 630, 5908, 276, 264, 543, 922, 3524, 601, 998, 519, 3168, 3766, 20199, 267, 543, 1018, 620, 823, 1336, 972, 630, 6942, 272, 269, 9452, 2079, 910, 998, 519, 3168, 4837, 676, 682, 342, 529, 1286, 3326, 269, 21771, 543, 18305, 538, 519, 2835, 620, 823, 781, 9035, 538, 4898, 1633, 543, 998, 519, 3168, 4837, 4798, 543, 18305, 538, 519, 2835, 620, 823, 781, 4612, 633, 3594, 269, 17658, 850, 613, 998, 519, 3168, 3766, 20199, 17979, 998, 519, 3168, 3766, 20199, 3091, 513, 4015, 540, 3594, 13296, 1142, 3184, 2882, 2565, 4901, 269, 3414, 519, 3168, 4837, 1353, 3391, 3568, 513, 12092, 540, 682, 342, 529, 1286, 2651, 267, 3332, 3594, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 269, 589, 3296, 593, 2565, 3206, 543, 8086, 5205, 543, 2882, 4901, 540, 2947, 2596, 8847, 540, 998, 519, 3168, 4837, 281, 930, 30852, 540, 8086, 269, 9137, 5627, 606, 2079, 540, 519, 1433, 620, 823, 781, 9035, 538, 4898, 1633, 1753, 2200, 2079, 4612, 633, 3594, 606, 998, 519, 3168, 4837, 269, 10749, 543, 9880, 593, 682, 342, 529, 1286, 2651, 781, 998, 519, 3168, 3766, 20199, 910, 2565, 6268, 563, 32487, 543, 9880, 593, 682, 342, 529, 1286, 2651, 781, 620, 823, 781, 9035, 538, 4898, 1633, 910, 2565, 3594, 998, 519, 3168, 3766, 20199, 705, 663, 976, 519, 5714, 640, 543, 14784, 540, 620, 823, 779, 269, 2776, 2183, 547, 519, 3791, 7160, 5931, 620, 823, 781, 9035, 538, 4898, 1633, 998, 519, 3168, 3766, 20199, 519, 729, 335, 538, 513, 530, 580, 519, 10122, 540, 519, 2879, 1046, 10080, 269, 589, 5339, 2079, 540, 620, 823, 781, 9035, 538, 4898, 1633, 543, 3594, 514, 620, 823, 781, 7045, 781, 538, 4898, 1633, 543, 998, 519, 3168, 4837, 267, 682, 342, 529, 1286, 2651, 3096, 1082, 269, 634, 2699, 15596, 568, 267, 607, 29122, 1135, 1335, 639, 2829, 267, 519, 9030, 8763, 6392, 4137, 538, 519, 1433, 630, 10843, 519, 3168, 3766, 20199, 267, 14926, 517, 2565, 7160, 563, 7437, 519, 3168, 3766, 20199, 281, 538, 1200, 1557, 267, 968, 1492, 11078, 3125, 540, 1699, 2565, 22906, 609, 2022, 24645, 3332, 814, 269, 3414, 519, 3168, 4837, 3594, 1382, 1957, 476, 1691, 270, 736, 593, 1250, 2565, 1557, 585, 900, 680, 636, 3385, 6648, 2079, 1557, 1644, 2022, 540, 998, 519, 3168, 269, 8056, 2664, 2299, 4647, 519, 620, 823, 781, 9035, 538, 4898, 1633, 729, 519, 2278, 540, 620, 823, 538, 4898, 1633, 543, 998, 519, 3168, 4837, 2565, 1557, 676, 15646, 19902, 563, 7437, 519, 3168, 4837, 3594, 616, 4081, 3594, 585, 11239, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 998, 519, 269, 5131, 17440, 593, 3604, 1063, 620, 1182, 9035, 538, 4898, 1633, 543, 998, 519, 3168, 4837, 689, 1557, 4157, 1260, 267, 519, 20410, 3594, 2754, 585, 1557, 267, 12031, 269, 4828, 682, 342, 529, 1286, 2651, 568, 835, 540, 519, 1034, 9089, 620, 823, 538, 4898, 1633, 543, 998, 519, 3168, 3766, 20199, 998, 1286, 2651, 781, 2565, 7160, 1007, 26294, 281, 32685, 269, 3414, 519, 3168, 4837, 281, 513, 1413, 693, 9659, 3961, 4070, 2429, 519, 2250, 267, 1459, 543, 2104, 563, 10111, 2651, 781, 998, 519, 3168, 3766, 20199, 568, 1419, 2938, 676, 5640, 607, 513, 1447, 3811, 3209, 982, 922, 811, 9976, 13959, 4062, 267, 620, 823, 781, 9035, 538, 4898, 1633, 563, 10403, 2228, 5399, 281, 998, 519, 3168, 4837, 281, 519, 1909, 540, 3965, 538, 519, 4837, 2367, 4526, 773, 6262, 15560, 1557, 264, 676, 4967, 593, 4207, 3332, 3332, 267, 1603, 269, 15576, 773, 6067, 332, 2719, 699, 978, 1501, 476, 23056, 272, 1786, 4546, 476, 2537, 32414, 476, 1001, 275, 2565, 10282, 1557, 3168, 693, 519, 1158, 2221, 1775, 1294, 602, 3425, 535, 998, 519, 3168, 4837, 269, 1284, 1294, 6000, 998, 519, 8086, 540, 938, 4606, 538, 1866, 519, 3168, 3766, 20199, 1582, 568, 513, 2486, 602, 5713, 607, 513, 3168, 3766, 20199, 1557, 339, 341, 910, 2228, 269, 3414, 519, 3168, 4837, 281, 513, 3332, 2689, 540, 513, 4686, 12963, 5778, 17595, 12278, 2783, 281, 620, 823, 538, 4898, 1633, 630, 339, 15957, 779, 264, 6794, 2376, 2427, 8663, 269, 5131, 17440, 593, 1286, 2651, 338, 620, 823, 538, 4898, 1633, 689, 1557, 4157, 1260, 267, 519, 20410, 3594, 2754, 585, 1557, 1346, 945, 723, 3460, 539, 998, 519, 3168, 4837, 269, 3414, 519, 3168, 4837, 2951, 9118, 1990, 650, 687, 540, 5195, 21868, 532, 998, 3618, 779, 5790, 547, 1780, 998, 513, 2370, 4062, 540, 25509, 4837, 476, 272, 3594, 476, 273, 269, 0, 15371, 3168, 585, 513, 19090, 4303, 4739, 610, 6158, 547, 19920, 827, 2038, 25501, 267, 513, 1867, 1698, 602, 568, 2241, 949, 6952, 513, 1126, 338, 5876, 269, 2353, 602, 779, 2877, 568, 513, 32028, 540, 9238, 610, 11746, 543, 1867, 269, 634, 1957, 568, 25649, 547, 519, 1698, 3337, 543, 7923, 865, 602, 621, 530, 2632, 23881, 614, 2094, 519, 27344, 4249, 269, 20290, 1022, 3561, 786, 3136, 547, 960, 4352, 11356, 568, 4122, 3730, 585, 19090, 22970, 269, 634, 11503, 21243, 547, 16079, 9069, 1380, 942, 1974, 610, 5310, 513, 1126, 338, 9345, 610, 666, 581, 16718, 2241, 269, 7736, 832, 539, 676, 12085, 1411, 3580, 10261, 12384, 1957, 5589, 1800, 610, 25411, 16980, 27413, 630, 28436, 264, 2398, 6493, 630, 28436, 264, 31698, 630, 28436, 264, 25529, 619, 630, 28436, 264, 13832, 7502, 8985, 519, 1957, 779, 6905, 2427, 16298, 519, 8728, 543, 8728, 18991, 547, 1832, 519, 16212, 1256, 2066, 519, 1957, 779, 2295, 269, 12414, 519, 25649, 8728, 540, 519, 3561, 2059, 4724, 519, 1957, 779, 1647, 543, 1899, 873, 269, 3763, 513, 12900, 689, 519, 1647, 540, 519, 1957, 1524, 547, 519, 1957, 779, 535, 16206, 269, 5940, 3307, 519, 1079, 9212, 540, 1957, 693, 519, 1439, 563, 8450, 519, 1483, 4308, 2443, 519, 2189, 960, 540, 11350, 665, 336, 1250, 1599, 602, 568, 3312, 563, 17686, 8985, 835, 2427, 16298, 909, 621, 1210, 519, 9207, 728, 540, 519, 2650, 16212, 267, 547, 1118, 513, 524, 4428, 269, 4469, 760, 1472, 519, 1698, 543, 10956, 519, 16784, 593, 519, 824, 2460, 269, 1403, 9053, 267, 519, 1283, 540, 519, 524, 4428, 1522, 581, 25540, 27808, 547, 1118, 513, 13888, 518, 524, 4428, 602, 786, 3180, 519, 11058, 779, 2203, 1732, 269, 19139, 610, 11746, 519, 25649, 524, 4428, 585, 519, 1698, 547, 1832, 621, 538, 2897, 269, 634, 11058, 1522, 581, 12816, 607, 28104, 610, 21243, 1210, 4778, 267, 10832, 267, 3091, 269, 670, 1846, 7677, 1639, 609, 2681, 19060, 268, 612, 904, 2593, 1058, 3819, 4628, 1354, 1373, 1031, 269, 9669, 1299, 2782, 11789, 7433, 3817, 666, 581, 1336, 538, 811, 982, 835, 6482, 269, 634, 3232, 1957, 602, 568, 8912, 568, 827, 476, 1321, 476, 272, 270, 273, 6279, 676, 476, 1240, 476, 272, 270, 273, 6279, 267, 1247, 3817, 616, 827, 476, 1556, 6279, 676, 476, 1704, 6279, 269, 634, 1957, 1031, 779, 2450, 11887, 875, 2462, 568, 519, 12913, 11058, 563, 2691, 2679, 707, 11706, 267, 1118, 2386, 596, 723, 519, 22864, 547, 14025, 519, 11147, 563, 8196, 4130, 1957, 547, 1118, 22970, 585, 1453, 602, 616, 7820, 269, 2398, 5793, 3561, 666, 581, 1031, 547, 1711, 22970, 1507, 2614, 585, 31119, 269, 7433, 267, 585, 1383, 855, 7815, 1957, 267, 1223, 581, 12863, 585, 1082, 19920, 547, 960, 609, 607, 621, 3085, 1406, 15237, 607, 3533, 269, 1261, 32667, 3561, 1223, 849, 2063, 547, 2500, 1126, 1404, 1454, 1732, 982, 12139, 269, 6583, 1501, 1142, 1126, 338, 2140, 593, 519, 22970, 547, 2057, 7138, 1782, 835, 1126, 338, 1698, 689, 1776, 952, 2870, 11503, 585, 811, 982, 835, 4819, 513, 1362, 1604, 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 ]
[ 348, 316, 348, 1422, 325, 754, 331, 1422, 3667, 346, 303, 22042, 343, 11971, 28083, 14720, 316, 1422, 325, 754, 331, 1422, 3667, 346, 9377, 269, 4153, 1422, 1721, 718, 20728, 346, 292, 22042, 335, 270, 315, 867, 335, 12757, 2410, 344, 348, 316, 1422, 325, 754, 331, 1422, 3667, 346, 9377, 269, 4153, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 30819, 28872, 270, 315, 867, 335, 21151, 2410, 321, 348, 316, 1422, 325, 754, 331, 476, 276, 267, 277, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 276, 267, 278, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 279, 315, 1422, 1721, 718, 20728, 346, 292, 348, 1422, 325, 754, 331, 476, 280, 315, 1422, 1721, 718, 20728, 346, 292, 348, 1422, 325, 754, 331, 476, 276, 267, 1015, 315, 2715, 284, 4153, 3667, 346, 306, 348, 1422, 325, 754, 331, 476, 1556, 267, 1321, 315, 11513, 331, 858, 4153, 3667, 346, 23871, 348, 1422, 325, 754, 331, 476, 1724, 315, 1422, 1721, 718, 20728, 346, 296, 348, 1422, 325, 754, 331, 476, 1691, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 313, 270, 315, 916, 564, 21151, 348, 316, 1422, 325, 754, 331, 476, 1691, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 313, 270, 315, 916, 564, 12757, 348, 316, 1422, 325, 754, 331, 476, 1691, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 313, 270, 315, 916, 564, 21151, 14720, 348, 316, 1422, 325, 754, 331, 476, 1691, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 313, 270, 315, 916, 564, 12757, 11971, 348, 316, 1422, 325, 754, 331, 476, 1428, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 1626, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 1704, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 1240, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 1422, 337, 331, 777, 3189, 341, 25854, 4153, 327, 28783, 3189, 3667, 346, 9377, 269, 4153, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 30819, 28872, 270, 315, 867, 335, 21151, 2410, 321, 348, 316, 348, 1422, 325, 754, 331, 7684, 476, 15732, 3086, 267, 2901, 3230, 320, 815, 536, 2330, 610, 3230, 320, 1422, 928, 336, 536, 21974, 1924, 649, 949, 6961, 602, 538, 1312, 2665, 621, 5205, 602, 3230, 320, 24210, 2330, 543, 3230, 321, 284, 344, 21974, 769, 519, 2013, 602, 3230, 320, 815, 536, 2330, 1384, 11377, 20791, 1422, 325, 3558, 346, 1422, 325, 3712, 346, 1422, 341, 25854, 315, 325, 754, 331, 476, 2537, 24097, 325, 754, 331, 476, 2190, 24097, 325, 754, 331, 476, 1839, 24097, 325, 754, 331, 476, 2918, 24097, 325, 754, 331, 476, 2767, 24097, 325, 754, 331, 476, 2764, 24097, 325, 754, 331, 476, 3066, 24097, 325, 754, 331, 476, 1789, 24097, 325, 754, 331, 476, 4029, 24097, 325, 754, 331, 476, 3953, 24097, 325, 754, 331, 476, 3451, 24097, 325, 754, 331, 476, 4097, 24097, 325, 754, 331, 476, 3374, 24097, 325, 754, 331, 476, 3607, 24097, 325, 754, 331, 476, 4391, 24097, 325, 754, 331, 476, 4343, 24097, 325, 754, 331, 476, 4375, 24097, 325, 754, 331, 476, 2412, 24097, 325, 754, 331, 476, 6078, 24097, 325, 754, 331, 1422, 341, 25854, 315, 325, 754, 331, 7684, 1299, 1422, 2675, 565, 2715, 1422, 11357, 3712, 346, 1422, 337, 331, 777, 3189, 341, 25854, 348, 1422, 327, 28783, 3189, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 14720, 348, 1422, 331, 858, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 11971, 3686, 8607, 513, 284, 321, 1422, 3271, 513, 1422, 928, 336, 536, 1422, 11034, 11357, 315, 11357, 3712, 346, 513, 815, 536, 8607, 1422, 327, 1467, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 14720, 348, 8607, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 28083, 348, 8607, 1422, 916, 564, 21151, 28083, 348, 815, 1422, 916, 564, 21151, 348, 8607, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 8607, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 8607, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 1422, 331, 858, 1535, 30381, 8607, 1535, 30381, 8607, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 14720, 348, 8607, 1535, 284, 321, 8607, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 21726, 348, 8607, 1422, 916, 564, 12757, 21726, 18098, 916, 564, 12757, 348, 8607, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 8607, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 8607, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 1422, 331, 858, 1535, 284, 344, 8607, 1535, 284, 344, 8607, 586, 284, 321, 8607, 7684, 1422, 1742, 889, 513, 284, 321, 1422, 331, 604, 630, 343, 30381, 1422, 1633, 586, 284, 321, 264, 8607, 1422, 337, 331, 777, 3189, 341, 25854, 348, 1422, 327, 28783, 3189, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 14720, 348, 1422, 331, 858, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 11971, 3686, 8607, 7684, 7684, 1299, 1422, 339, 3712, 346, 1422, 337, 331, 777, 3189, 341, 25854, 4153, 327, 28783, 3189, 3667, 346, 9377, 269, 4153, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 30819, 28872, 270, 315, 867, 335, 21151, 2410, 321, 348, 316, 348, 1422, 325, 754, 331, 1422, 3667, 346, 307, 348, 1422, 325, 754, 331, 1422, 3667, 346, 303, 22042, 343, 11971, 28083, 14720, 316, 1422, 325, 754, 331, 476, 736, 315, 1422, 3667, 346, 290, 348, 1422, 325, 754, 331, 476, 2190, 267, 1839, 315, 2715, 284, 4153, 3667, 346, 306, 22042, 321, 21669, 316, 1422, 325, 754, 331, 1496, 273, 316, 315, 1422, 1721, 718, 20728, 346, 292, 348, 1422, 325, 754, 331, 476, 2767, 267, 2918, 315, 2715, 284, 4153, 3667, 346, 306, 22042, 315, 916, 564, 21151, 28083, 348, 270, 315, 916, 564, 21151, 348, 316, 1422, 325, 754, 331, 476, 2764, 315, 11513, 3271, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 1496, 272, 316, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 21669, 316, 1422, 325, 754, 331, 476, 3066, 267, 1789, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 2420, 315, 1422, 3667, 346, 290, 4153, 1422, 325, 754, 331, 476, 2190, 267, 4029, 315, 2715, 284, 4153, 3667, 346, 23871, 348, 1422, 325, 754, 331, 476, 3953, 267, 3451, 315, 2715, 284, 4153, 3667, 346, 306, 22042, 321, 24474, 316, 1422, 325, 754, 331, 1496, 273, 316, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 316, 1422, 325, 754, 331, 476, 4097, 267, 3374, 315, 2715, 284, 4153, 3667, 346, 306, 22042, 315, 916, 564, 12757, 21726, 348, 270, 315, 916, 564, 12757, 348, 316, 1422, 325, 754, 331, 476, 3607, 315, 11513, 3271, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 1496, 274, 316, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 30819, 316, 1422, 325, 754, 331, 476, 4391, 267, 4343, 315, 11513, 331, 858, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 3451, 267, 4375, 315, 2715, 284, 4153, 3667, 346, 23871, 348, 1422, 325, 754, 331, 476, 2190, 267, 4029, 267, 2412, 315, 11513, 331, 604, 4153, 3667, 346, 296, 348, 1422, 325, 754, 331, 1422, 337, 331, 777, 3189, 341, 25854, 4153, 327, 28783, 3189, 3667, 346, 9377, 269, 4153, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 30819, 28872, 270, 315, 867, 335, 21151, 2410, 321, 348, 316, 348, 1422, 325, 754, 331, 7684, 476, 15732, 1103, 519, 2013, 602, 3230, 320, 1422, 928, 336, 536, 2330, 1384, 11377, 20791, 1422, 325, 3558, 346, 1422, 325, 3712, 3189, 341, 25854, 315, 325, 754, 331, 476, 5655, 24097, 325, 754, 331, 476, 6246, 24097, 325, 754, 331, 476, 4510, 24097, 325, 754, 331, 476, 3393, 24097, 325, 754, 331, 476, 5379, 24097, 325, 754, 331, 476, 5325, 24097, 325, 754, 331, 476, 4366, 24097, 325, 754, 331, 476, 5392, 24097, 325, 754, 331, 476, 2004, 24097, 325, 754, 331, 476, 7906, 24097, 325, 754, 331, 476, 7367, 24097, 325, 754, 331, 476, 7871, 24097, 325, 754, 331, 476, 7918, 24097, 325, 754, 331, 476, 4649, 24097, 325, 754, 331, 476, 6321, 24097, 325, 754, 331, 476, 6872, 24097, 325, 754, 331, 476, 6812, 24097, 325, 754, 331, 7684, 1299, 1422, 2675, 565, 2715, 1422, 11357, 3712, 346, 1422, 337, 331, 777, 3189, 341, 25854, 348, 1422, 327, 28783, 3189, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 21151, 14720, 348, 1422, 331, 858, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 348, 1422, 3271, 1422, 916, 564, 12757, 11971, 18098, 916, 564, 12757, 11971, 3686, 1422, 11034, 11357, 315, 11357, 3712, 346, 513, 1422, 928, 336, 536, 8607, 1422, 327, 1467, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 1422, 3271, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 14720, 348, 8607, 513, 1422, 928, 336, 536, 1422, 331, 604, 1422, 916, 564, 12757, 348, 1422, 928, 336, 1422, 916, 564, 21151, 14720, 27874, 1422, 916, 564, 12757, 348, 1422, 928, 336, 1422, 916, 564, 21151, 14720, 348, 8607, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 8607, 1422, 916, 564, 12757, 18098, 916, 564, 21151, 348, 1422, 331, 858, 1535, 30381, 8607, 1535, 815, 513, 8607, 1422, 916, 564, 21151, 14720, 18098, 916, 564, 12757, 348, 1422, 3271, 1422, 916, 564, 21151, 14720, 18098, 916, 564, 12757, 11971, 348, 8607, 1422, 916, 564, 21151, 14720, 18098, 916, 564, 12757, 11971, 348, 8607, 1422, 916, 564, 21151, 14720, 18098, 916, 564, 21151, 11971, 348, 8607, 1422, 916, 564, 21151, 14720, 18098, 916, 564, 21151, 11971, 348, 1422, 331, 858, 536, 284, 344, 11138, 536, 815, 586, 7684, 1422, 1742, 889, 513, 1422, 928, 336, 536, 1422, 331, 604, 630, 343, 30381, 1422, 1633, 586, 284, 321, 264, 8607, 1535, 30381, 1422, 1633, 586, 284, 321, 7684, 1422, 1742, 889, 1422, 867, 335, 12757, 2410, 344, 348, 815, 1422, 867, 335, 21151, 2410, 321, 348, 1422, 331, 604, 1535, 30381, 1422, 1633, 586, 284, 321, 8607, 1422, 867, 335, 12757, 2410, 344, 348, 815, 1422, 867, 335, 21151, 2410, 321, 348, 1422, 331, 858, 1535, 30381, 1422, 1633, 586, 284, 321, 8607, 1422, 1721, 718, 1535, 1422, 1721, 718, 586, 1422, 1721, 718, 513, 1422, 1721, 718, 536, 24560, 867, 335, 12757, 2410, 344, 348, 815, 1422, 867, 335, 21151, 2410, 321, 348, 1422, 331, 858, 1535, 30381, 1422, 1633, 586, 284, 321, 316, 8607, 7684, 1299, 1422, 339, 3712, 346, 1422, 337, 331, 777, 3189, 341, 25854, 4153, 327, 28783, 3189, 3667, 346, 9377, 269, 4153, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 30819, 28872, 270, 315, 867, 335, 21151, 2410, 321, 348, 316, 348, 1422, 325, 754, 331, 1422, 3667, 346, 303, 22042, 343, 11971, 28083, 14720, 316, 1422, 325, 754, 331, 476, 736, 315, 1422, 3667, 346, 290, 348, 1422, 325, 754, 331, 1496, 275, 316, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 322, 24474, 316, 1422, 325, 754, 331, 476, 5655, 267, 4510, 315, 11513, 331, 604, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 476, 6246, 267, 3393, 315, 11513, 3271, 4153, 3667, 346, 292, 348, 1422, 325, 754, 331, 1496, 272, 316, 315, 1422, 1721, 718, 20728, 346, 292, 22042, 320, 24474, 14720, 21669, 316, 1422, 325, 754, 331, 476, 5379, 267, 5325, 315, 11513, 331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1292, 10031, 825, 1297, 815, 10581, 9272, 2891, 11767, 513, 10230, 1871, 547, 4159, 922, 1587, 609, 476, 1015, 281, 27328, 825, 2053, 318, 1084, 28840, 2020, 3698, 2053, 318, 1084, 28840, 2187, 825, 1820, 28840, 265, 1015, 2020, 10852, 4590, 0, 3722, 4753, 299, 2207, 9569, 32707, 16604, 318, 15674, 318, 294, 6938, 309, 14510, 815, 476, 280, 269, 279, 692, 3698, 1292, 10031, 825, 2527, 815, 1205, 8548, 817, 4590, 825, 2597, 815, 5173, 318, 7076, 9852, 817, 994, 825, 3313, 318, 7076, 318, 638, 1275, 263, 7076, 2020, 3698, 1205, 8548, 817, 10031, 825, 2132, 10581, 9272, 2891, 11767, 519, 2527, 540, 606, 1843, 281, 834, 11723, 3698, 5173, 318, 7076, 9852, 817, 2187, 825, 2132, 2527, 2608, 8028, 4753, 299, 2207, 9569, 32707, 16604, 318, 15674, 318, 294, 6938, 309, 14510, 692, 3698, 3313, 318, 7076, 318, 638, 1275, 263, 7076, 2187, 825, 952, 263, 7076, 3436, 476, 1911, 271, 2187, 1038, 1820, 2891, 763, 1843, 568, 1932, 5230, 23528, 825, 8640, 263, 7076, 2999, 476, 1015, 2187, 1038, 1820, 2891, 763, 1843, 568, 1932, 1769, 23528, 825, 3116, 912, 1038, 1820, 2891, 763, 1843, 568, 1175, 1318, 1701, 2020, 10852, 4590, 0, 19417, 815, 3403, 3488, 11767, 707, 4463, 281, 30386, 2745, 3488, 2791, 9411, 519, 1871, 4939, 338, 1412, 4939, 4463, 2020, 2745, 28361, 333, 5073, 12528, 6958, 2948, 924, 318, 10233, 815, 3403, 3488, 1432, 568, 707, 5172, 2681, 281, 30386, 2745, 3488, 7312, 5172, 2681, 568, 4939, 338, 1412, 4939, 3593, 6958, 2948, 924, 318, 10233, 2020, 320, 815, 476, 278, 454, 321, 815, 513, 1341, 476, 273, 454, 2745, 6357, 994, 320, 815, 536, 2608, 476, 275, 454, 2745, 5416, 994, 321, 815, 513, 1315, 476, 274, 269, 1691, 454, 2745, 6357, 994, 320, 815, 536, 910, 476, 279, 454, 2745, 5416, 2020, 2745, 28361, 333, 5073, 20135, 815, 476, 1015, 1341, 476, 1691, 454, 2745, 2891, 260, 323, 257, 4939, 2698, 2020, 6658, 7272, 599, 618, 815, 476, 273, 454, 16746, 815, 2698, 910, 1524, 7272, 599, 618, 454, 2745, 28361, 333, 5073, 2745, 3488, 13707, 9603, 281, 4939, 323, 262, 4939, 1813, 2020, 2745, 28361, 333, 5073, 11357, 20135, 815, 2698, 454, 20135, 815, 2698, 1341, 630, 271, 269, 1428, 2608, 5705, 4973, 994, 2745, 3488, 13707, 281, 1269, 10065, 273, 325, 262, 4939, 2698, 2020, 2745, 28361, 333, 5073, 338, 2297, 815, 476, 6507, 278, 269, 4281, 454, 2745, 2891, 13707, 19833, 281, 1269, 260, 280, 269, 273, 325, 257, 4939, 6455, 2020, 2745, 28361, 333, 5073, 4067, 815, 1412, 291, 1157, 25326, 345, 7055, 5417, 816, 815, 1412, 11277, 16299, 25326, 345, 28818, 7055, 322, 640, 815, 1412, 291, 27912, 2207, 715, 7473, 313, 7055, 8063, 815, 1412, 291, 1157, 518, 2428, 518, 345, 7055, 32502, 6831, 1712, 815, 1412, 11277, 3393, 7055, 974, 548, 7483, 20311, 815, 1412, 11277, 268, 23056, 268, 11277, 275, 7055, 3712, 5076, 8548, 1994, 815, 1412, 323, 1157, 2428, 345, 28847, 2745, 3488, 11243, 281, 4939, 1428, 338, 14826, 262, 26444, 8587, 1412, 11754, 816, 281, 4939, 1428, 338, 14826, 262, 26444, 8587, 1412, 30949, 281, 4939, 1428, 338, 14826, 262, 26444, 8587, 1412, 13750, 281, 4939, 1428, 338, 14826, 262, 26444, 8587, 1412, 313, 760, 8943, 281, 4939, 1428, 338, 14826, 262, 26444, 8587, 1412, 5938, 548, 7483, 9539, 3784, 281, 4939, 1428, 338, 14826, 262, 26444, 8587, 1412, 31955, 11683, 281, 4939, 1428, 338, 14826, 262, 4939, 630, 4067, 267, 2232, 267, 2749, 267, 1533, 267, 23407, 6831, 1712, 267, 26444, 4449, 25639, 15146, 20311, 267, 2852, 8548, 1994, 11723, 2889, 915, 539, 5334, 2297, 815, 10581, 9272, 3488, 1432, 568, 519, 2698, 15810, 6455, 4137, 281, 1412, 4917, 16118, 318, 3433, 815, 476, 271, 269, 2537, 454, 16118, 815, 15810, 5334, 2297, 2608, 7443, 318, 3433, 454, 2745, 3488, 19061, 539, 7443, 2016, 513, 6455, 2179, 540, 4939, 269, 273, 325, 568, 4939, 269, 273, 325, 9538, 4939, 26444, 8587, 630, 2889, 915, 539, 5334, 2297, 267, 7443, 11723, 2745, 28361, 333, 5073, 10623, 564, 30648, 318, 21492, 815, 476, 31973, 2568, 269, 271, 454, 10623, 564, 815, 10581, 9272, 3488, 1692, 1082, 4009, 3952, 616, 538, 707, 8778, 540, 2244, 281, 1412, 4917, 659, 637, 815, 3952, 1315, 3952, 30648, 318, 21492, 454, 21492, 815, 476, 274, 269, 275, 1315, 476, 274, 269, 279, 454, 2745, 3488, 7312, 8778, 540, 2244, 13054, 4939, 269, 275, 325, 23505, 4433, 1040, 262, 4939, 14143, 994, 2745, 3488, 288, 920, 281, 4939, 269, 273, 325, 262, 4939, 23505, 2020, 2745, 28361, 333, 5073, 14403, 318, 821, 815, 10581, 9272, 3488, 25820, 540, 30014, 2290, 281, 1412, 4917, 14403, 4671, 6851, 815, 10581, 9272, 3488, 25820, 540, 30014, 5565, 281, 1412, 4917, 14403, 318, 22764, 815, 10581, 9272, 3488, 25820, 540, 30014, 8422, 281, 1412, 4917, 14403, 6958, 712, 815, 10581, 9272, 3488, 25820, 540, 30014, 9050, 281, 1412, 4917, 14403, 6958, 633, 815, 10581, 9272, 3488, 25820, 540, 30014, 12866, 281, 1412, 4917, 338, 2297, 4671, 1314, 318, 3433, 815, 476, 271, 269, 6187, 454, 11357, 20135, 815, 6221, 318, 821, 1341, 6221, 4671, 6851, 1341, 6221, 318, 22764, 1341, 6221, 6958, 712, 1341, 6221, 6958, 633, 454, 20135, 815, 5705, 4973, 1341, 630, 11357, 20135, 2608, 6455, 4671, 1314, 318, 3433, 994, 2745, 3488, 763, 2698, 9042, 568, 1269, 10065, 273, 325, 9538, 4939, 2698, 2020, 2745, 28361, 333, 5073, 5503, 318, 821, 815, 476, 276, 454, 5503, 4671, 6851, 815, 476, 279, 454, 5503, 318, 22764, 815, 476, 1321, 454, 14588, 539, 815, 476, 2568, 454, 323, 2700, 318, 821, 815, 3432, 2608, 942, 318, 821, 454, 323, 2700, 4671, 6851, 815, 3432, 2608, 942, 4671, 6851, 454, 323, 2700, 318, 22764, 815, 3432, 2608, 942, 318, 22764, 454, 2745, 3488, 291, 2700, 14612, 2016, 513, 3432, 630, 3433, 264, 540, 4939, 323, 18890, 14826, 262, 26444, 8587, 1412, 276, 3108, 281, 4939, 323, 14826, 262, 26444, 8587, 1412, 279, 3108, 281, 4939, 323, 14826, 262, 26444, 8587, 1412, 1321, 3108, 281, 4939, 323, 14826, 262, 4939, 630, 14588, 539, 267, 3845, 318, 821, 267, 3845, 4671, 6851, 267, 3845, 318, 22764, 11723, 0, 11133, 272, 25507, 263, 3863, 17750, 2891, 10938, 1022, 1100, 272, 281, 27328, 11133, 273, 25507, 263, 3863, 17750, 2891, 10938, 1022, 1100, 273, 281, 834, 11723, 258, 1820, 834, 5976, 3791, 4756, 4840, 258, 1820, 1003, 272, 267, 1003, 273, 454, 258, 524, 284, 11133, 272, 3248, 258, 1003, 272, 284, 11133, 273, 3248, 258, 1003, 273, 284, 322, 16963, 258, 1820, 1003, 272, 267, 1003, 273, 692, 2745, 834, 5976, 11073, 3791, 4756, 4840, 11133, 272, 284, 11133, 272, 266, 11133, 273, 1948, 1428, 454, 11133, 273, 284, 11133, 272, 5991, 636, 273, 476, 1948, 276, 454, 11133, 272, 284, 11133, 272, 5991, 636, 273, 692, 2745, 1003, 272, 267, 1003, 273, 0, 454, 15893, 25507, 263, 3863, 17750, 2891, 10938, 1022, 1100, 281, 27328, 8999, 815, 476, 271, 454, 31184, 815, 1297, 454, 6112, 1297, 3436, 476, 271, 912, 453, 8145, 815, 1297, 4939, 476, 1015, 454, 453, 8999, 6834, 1121, 454, 453, 15893, 12262, 284, 476, 1015, 454, 2745, 2891, 11764, 540, 782, 9704, 540, 2580, 10917, 267, 834, 529, 2580, 2040, 267, 27719, 333, 8442, 0, 258, 5124, 5358, 910, 17179, 6478, 689, 22054, 454, 4848, 454, 6112, 6936, 912, 13537, 2891, 11767, 1412, 343, 262, 585, 14827, 23528, 453, 11415, 815, 6151, 17750, 2891, 11767, 1022, 5569, 281, 19515, 14851, 5569, 2652, 1412, 343, 12466, 453, 453, 19874, 454, 28432, 912, 453, 453, 5320, 815, 6151, 17750, 2891, 11767, 2262, 547, 581, 18419, 281, 19515, 453, 13537, 19629, 333, 5719, 548, 1154, 2016, 2262, 689, 519, 2016, 5569, 907, 23528, 453, 13537, 2891, 6124, 21642, 1310, 6707, 25216, 519, 2016, 2262, 281, 5602, 453, 453, 5320, 8217, 815, 5569, 21858, 4590, 453, 13537, 1412, 29717, 21860, 8443, 328, 585, 1775, 538, 2262, 8217, 952, 1775, 711, 538, 2262, 7481, 453, 13537, 3097, 453, 13537, 19629, 333, 8442, 0, 3698, 568, 9078, 13806, 16325, 281, 703, 2187, 825, 7857, 8217, 815, 1496, 842, 5560, 264, 585, 546, 538, 1193, 16325, 22708, 825, 1775, 815, 7003, 5560, 13424, 8217, 264, 12262, 476, 273, 454, 825, 1101, 267, 2034, 815, 476, 271, 267, 476, 271, 454, 825, 585, 546, 538, 7857, 8217, 11468, 328, 14158, 1038, 1101, 6834, 546, 454, 825, 585, 546, 538, 7857, 8217, 5157, 281, 14158, 1038, 2034, 6834, 546, 454, 825, 2132, 1101, 2652, 2034, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 562, 815, 476, 11277, 271, 692, 825, 1820, 263, 529, 9078, 13806, 3799, 4917, 0, 26611, 23591, 24800, 270, 7090, 692, 3698, 18287, 5091, 13424, 23544, 28840, 2187, 825, 9704, 815, 11713, 825, 1247, 1297, 912, 1038, 9704, 6910, 28840, 910, 630, 15893, 1315, 476, 1015, 264, 2608, 476, 1015, 994, 1038, 1297, 815, 1297, 1315, 476, 1015, 692, 825, 2040, 815, 476, 271, 454, 825, 585, 7857, 538, 9704, 912, 1038, 2040, 6834, 7857, 454, 825, 2132, 2040, 692, 3698, 5173, 5334, 10967, 5091, 13424, 28840, 2187, 825, 952, 1297, 2999, 476, 1015, 912, 1038, 2132, 1297, 454, 825, 2132, 5173, 5334, 10967, 5091, 13424, 263, 5632, 322, 5091, 13424, 23544, 28840, 264, 9239, 3698, 1292, 10031, 825, 737, 815, 3403, 2891, 10938, 519, 1871, 540, 737, 476, 19515, 825, 562, 815, 3403, 2891, 10938, 519, 1871, 540, 562, 476, 834, 2020, 825, 737, 5334, 10967, 5091, 13424, 815, 5173, 5334, 10967, 5091, 13424, 17347, 994, 825, 1267, 815, 5173, 5334, 10967, 5091, 13424, 17347, 5334, 10967, 5091, 13424, 2608, 562, 994, 825, 1820, 1412, 27273, 7857, 540, 630, 330, 267, 562, 2567, 630, 346, 9574, 15079, 264, 568, 15079, 1422, 333, 8339, 8971, 17347, 267, 562, 267, 1267, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 10797, 0, 26611, 23591, 24800, 270, 7090, 692, 5814, 4351, 692, 3698, 1205, 305, 663, 4504, 263, 5979, 267, 28624, 2187, 825, 886, 815, 28624, 910, 3138, 454, 825, 1427, 11749, 815, 703, 263, 12690, 20179, 3890, 2608, 886, 264, 1341, 3138, 454, 825, 2132, 1427, 11749, 692, 8145, 8724, 815, 476, 274, 454, 13757, 310, 517, 815, 8771, 3248, 572, 4038, 10831, 815, 1205, 305, 663, 4504, 263, 272, 267, 476, 1015, 2020, 2745, 834, 12527, 349, 305, 24655, 301, 13246, 12527, 349, 4840, 1721, 1775, 538, 2039, 263, 274, 267, 476, 271, 267, 910, 272, 2187, 825, 1820, 834, 2791, 723, 834, 1341, 1193, 9217, 264, 1341, 834, 7058, 525, 2451, 4799, 825, 7058, 815, 6151, 17750, 2891, 10817, 612, 281, 19515, 825, 7058, 815, 703, 263, 29674, 994, 825, 952, 7058, 2652, 5728, 10831, 912, 1038, 1820, 834, 2791, 12736, 30882, 1038, 814, 310, 517, 815, 6936, 454, 1038, 2736, 454, 825, 8640, 7058, 2999, 5728, 10831, 912, 1038, 1820, 834, 32451, 1970, 4799, 825, 3116, 912, 1038, 1820, 834, 32451, 1164, 4799, 825, 1820, 834, 5016, 604, 814, 310, 517, 2652, 6936, 912, 825, 1820, 834, 17812, 337, 1846, 4840, 12828, 912, 825, 1820, 834, 32451, 3983, 269, 634, 5728, 1297, 729, 834, 1341, 1193, 263, 572, 4038, 10831, 264, 1341, 834, 4799, 0, 5228, 705, 322, 1104, 13235, 267, 7493, 5035, 24709, 454, 5228, 5049, 269, 13480, 719, 1104, 4518, 719, 454, 5228, 5049, 10611, 719, 324, 15542, 800, 1104, 27953, 15542, 800, 454, 5814, 24050, 336, 454, 5228, 2979, 1104, 6989, 692, 5035, 4518, 719, 25618, 344, 263, 27398, 2187, 825, 5727, 17593, 1362, 267, 602, 3096, 1114, 16726, 6060, 6620, 4470, 593, 519, 5578, 1377, 3097, 1038, 540, 519, 6172, 828, 269, 17086, 1453, 547, 2936, 16726, 23962, 263, 1916, 825, 30352, 454, 825, 28612, 734, 454, 825, 7183, 454, 825, 29185, 825, 7711, 629, 5724, 5035, 24709, 454, 825, 1219, 16726, 23962, 4311, 267, 8905, 5091, 858, 22187, 2187, 1038, 1780, 692, 825, 1219, 1118, 318, 709, 974, 4311, 267, 8905, 2187, 1038, 2132, 27953, 15542, 800, 269, 22056, 318, 709, 974, 27562, 719, 324, 15542, 800, 19572, 8905, 14277, 709, 974, 25292, 257, 3910, 8905, 14277, 709, 974, 12173, 257, 3910, 8905, 14277, 331, 6327, 257, 3910, 8905, 14277, 9302, 257, 3910, 8905, 14277, 716, 783, 5091, 858, 22187, 257, 3910, 8905, 14277, 325, 3881, 5091, 858, 22187, 19312, 2020, 825, 1219, 5352, 318, 709, 5052, 4311, 267, 11507, 267, 15904, 318, 16769, 2187, 1038, 8905, 5334, 13990, 815, 11713, 1038, 8905, 18380, 815, 2715, 10926 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4497, 1453, 538, 3384, 1808, 1983, 282, 741, 18262, 568, 20083, 547, 519, 1966, 10335, 609, 7459, 602, 616, 811, 7920, 543, 540, 3476, 8653, 585, 811, 4049, 2042, 282, 789, 616, 3069, 12454, 543, 2963, 2861, 282, 543, 789, 3895, 2178, 267, 2318, 3347, 1063, 3237, 543, 1453, 267, 3610, 543, 1453, 267, 543, 1453, 543, 9905, 269, 26597, 1806, 540, 15324, 7459, 666, 581, 1336, 593, 519, 3896, 540, 519, 17459, 6369, 4741, 585, 10076, 2657, 538, 519, 12140, 563, 1103, 1169, 2146, 267, 513, 1906, 1453, 786, 2154, 8612, 2533, 267, 2556, 585, 1453, 4171, 14524, 568, 14733, 269, 1452, 1058, 581, 30582, 540, 8261, 1242, 7459, 602, 723, 1044, 16271, 547, 11826, 1382, 547, 6542, 741, 7145, 269, 21004, 4441, 585, 2963, 2861, 7459, 609, 1453, 7682, 602, 2963, 2861, 7459, 723, 1044, 16271, 547, 693, 2547, 1079, 1134, 27059, 1895, 2090, 610, 513, 3126, 540, 1134, 5342, 2582, 28175, 915, 2090, 630, 2419, 3711, 1652, 543, 670, 3326, 517, 267, 476, 1960, 279, 1040, 19893, 538, 519, 2090, 1058, 723, 1044, 14477, 8655, 547, 1114, 6304, 2516, 543, 16198, 1058, 581, 1500, 1063, 2516, 540, 5171, 3177, 609, 1100, 6304, 267, 12721, 7459, 267, 543, 609, 519, 6304, 540, 1719, 269, 7053, 267, 2164, 1058, 6542, 602, 9283, 616, 1813, 547, 519, 6304, 267, 2099, 606, 6454, 936, 1100, 6304, 693, 782, 267, 543, 616, 693, 2547, 607, 2178, 607, 1346, 3812, 676, 12721, 7459, 269, 3281, 754, 1756, 338, 10503, 2963, 2861, 7459, 585, 1453, 666, 581, 1336, 538, 2441, 14279, 523, 543, 18200, 11548, 630, 1220, 272, 264, 543, 20673, 19734, 543, 1284, 529, 345, 630, 1220, 274, 1916, 3849, 601, 2006, 543, 13177, 630, 1220, 277, 264, 8044, 602, 5989, 543, 4058, 1058, 581, 513, 5748, 540, 519, 6304, 27795, 269, 6969, 2551, 2861, 7459, 666, 581, 8045, 267, 4758, 1453, 543, 10708, 1569, 547, 2790, 1072, 2533, 538, 8167, 547, 741, 2790, 1072, 2115, 267, 1271, 11528, 2242, 991, 547, 2049, 269, 4256, 4320, 2488, 513, 3102, 6609, 540, 519, 3069, 267, 1382, 267, 543, 6388, 5817, 1102, 2858, 23461, 585, 2790, 1072, 2533, 563, 24066, 6672, 2986, 15510, 15369, 7896, 454, 24066, 6672, 5713, 1079, 1271, 5301, 1369, 2551, 2861, 3028, 3631, 281, 630, 272, 264, 1677, 16111, 9337, 1344, 827, 519, 2790, 1072, 4567, 540, 1453, 538, 519, 2146, 267, 865, 602, 519, 1982, 540, 2533, 3788, 17841, 547, 519, 2115, 540, 1453, 282, 543, 630, 273, 264, 547, 6895, 519, 1764, 540, 519, 2551, 2861, 2533, 593, 1453, 779, 2790, 1072, 269, 27814, 267, 2790, 1072, 3028, 7426, 4126, 602, 519, 1982, 786, 7794, 5626, 9716, 543, 27298, 2618, 31752, 1851, 1453, 538, 519, 2146, 269, 5775, 342, 1359, 891, 2055, 568, 3833, 4101, 269, 3689, 267, 4352, 621, 568, 2009, 547, 14919, 1367, 6268, 1344, 2066, 2789, 1453, 267, 942, 543, 1942, 10148, 1118, 621, 7543, 547, 2932, 3102, 1367, 20241, 540, 782, 1453, 10283, 538, 2790, 1072, 2533, 269, 9182, 267, 3028, 7426, 1590, 2697, 543, 3077, 1883, 10832, 540, 1453, 779, 9716, 689, 519, 4098, 267, 22805, 6268, 883, 519, 6388, 540, 519, 1982, 540, 2533, 269, 5822, 267, 2146, 1377, 2360, 949, 581, 1476, 15903, 609, 1271, 26447, 2621, 602, 2049, 1282, 519, 1974, 540, 606, 6268, 269, 1280, 1383, 267, 519, 2530, 540, 513, 2101, 16108, 538, 513, 1507, 6917, 2146, 666, 30122, 5595, 610, 17784, 519, 15366, 13864, 2557, 267, 543, 519, 4611, 1920, 2566, 1223, 581, 10630, 538, 2362, 3928, 540, 6689, 19717, 269, 9182, 267, 519, 6268, 1544, 1590, 1331, 12007, 5638, 540, 1271, 2146, 2621, 602, 4196, 607, 519, 2796, 585, 2533, 269, 12059, 267, 3466, 538, 1453, 779, 5626, 9716, 610, 2618, 31752, 616, 2693, 547, 12701, 2066, 1896, 1296, 267, 1134, 3564, 519, 942, 18134, 540, 513, 6093, 1788, 1032, 269, 9182, 267, 4058, 585, 543, 3664, 827, 2551, 2861, 2790, 1072, 2533, 1590, 30082, 6895, 2146, 10832, 540, 2790, 1072, 543, 5626, 9716, 2066, 3785, 563, 763, 1034, 3730, 6268, 786, 581, 513, 24233, 6268, 602, 20555, 6024, 6454, 1344, 1394, 547, 519, 1982, 3401, 267, 1256, 1247, 621, 568, 1373, 8045, 269, 634, 1034, 2500, 6268, 568, 9836, 609, 1505, 10999, 11826, 6272, 543, 711, 606, 23278, 4973, 2013, 1353, 269, 7305, 476, 275, 6257, 2200, 602, 3391, 519, 1646, 540, 2500, 20241, 267, 616, 2139, 2228, 267, 543, 693, 1360, 2370, 1942, 269, 1452, 2200, 12927, 519, 6240, 602, 1434, 6268, 3340, 862, 976, 1619, 10385, 607, 1454, 607, 11826, 1374, 543, 2079, 269, 6206, 9270, 538, 6268, 616, 4330, 538, 7305, 476, 276, 543, 1331, 711, 1152, 519, 4110, 547, 799, 519, 2551, 2861, 2790, 1072, 2533, 941, 2500, 267, 855, 849, 519, 4110, 547, 799, 789, 941, 15095, 609, 519, 2115, 543, 2418, 540, 519, 2146, 630, 301, 770, 14515, 543, 670, 3558, 32024, 267, 476, 1220, 279, 1040, 3487, 21871, 1369, 2551, 2861, 3631, 267, 3028, 7426, 543, 1982, 24990, 786, 991, 547, 581, 30190, 538, 5464, 519, 3838, 1764, 540, 2533, 543, 3664, 2066, 782, 1453, 538, 519, 2146, 563, 16954, 1637, 2861, 3631, 585, 1453, 779, 2790, 1072, 2533, 616, 9266, 6114, 547, 519, 7839, 27025, 8351, 609, 2757, 29748, 2861, 3631, 585, 3028, 6765, 269, 9122, 593, 513, 1857, 1072, 5133, 540, 2790, 1072, 267, 789, 10512, 1125, 1883, 3741, 540, 2790, 1072, 6304, 602, 723, 1044, 7152, 538, 12170, 1382, 593, 11095, 16169, 543, 6689, 2618, 31752, 269, 1358, 616, 24909, 540, 519, 5432, 8178, 8206, 4643, 8206, 3955, 1597, 324, 8206, 21414, 4783, 602, 814, 1044, 865, 3730, 585, 14350, 9709, 2790, 1072, 2533, 269, 1717, 267, 519, 10137, 540, 713, 4783, 547, 2551, 2861, 3375, 1818, 6799, 930, 2027, 2591, 269, 3689, 267, 1082, 540, 519, 2146, 17253, 4879, 543, 6304, 2533, 798, 711, 3514, 28426, 883, 4540, 3028, 1922, 27448, 3681, 971, 607, 1857, 610, 4357, 1072, 6142, 269, 5822, 267, 1271, 3334, 540, 519, 2146, 779, 2790, 1072, 2533, 1544, 1522, 7048, 593, 1875, 10177, 6463, 7426, 540, 2790, 1072, 2533, 267, 971, 607, 6107, 30023, 3292, 267, 13039, 267, 610, 8378, 2146, 7740, 269, 12059, 267, 8888, 543, 7598, 513, 2551, 2861, 2790, 1072, 1982, 12346, 593, 5698, 2066, 2789, 2146, 8041, 1107, 1857, 543, 4357, 1107, 543, 621, 666, 581, 2352, 585, 891, 8041, 547, 5968, 5693, 543, 7561, 269, 19549, 267, 513, 6521, 689, 513, 2757, 2790, 1072, 2203, 547, 2551, 2861, 2533, 786, 3592, 2141, 581, 1500, 538, 519, 3068, 540, 32033, 610, 693, 1655, 6366, 1126, 2790, 1072, 2200, 269, 1306, 513, 1267, 267, 2551, 2861, 4058, 3335, 3340, 513, 556, 718, 6327, 540, 2200, 689, 3105, 2533, 547, 1007, 2533, 267, 543, 949, 1711, 1018, 949, 581, 2938, 607, 23602, 543, 17485, 619, 1369, 519, 2146, 269, 22682, 267, 513, 6521, 547, 2551, 2861, 2790, 1072, 2533, 3112, 581, 1500, 1472, 519, 8728, 540, 2757, 2533, 269, 634, 2994, 2154, 9645, 942, 909, 4395, 538, 1931, 547, 1544, 267, 5838, 267, 543, 6218, 519, 2146, 17253, 7459, 269, 2311, 513, 5934, 267, 713, 786, 2154, 602, 2950, 24617, 543, 5402, 1544, 585, 519, 2470, 543, 2179, 540, 2790, 1072, 2533, 602, 789, 786, 1683, 547, 1453, 563, 268, 1520, 601, 2006, 15101, 543, 13177, 700, 630, 1220, 277, 264, 634, 3427, 26064, 779, 6651, 547, 9906, 4804, 4675, 2176, 281, 1715, 19648, 585, 18601, 31875, 547, 4804, 269, 23897, 663, 744, 6545, 267, 11404, 281, 4856, 7773, 4964, 563, 268, 1977, 5369, 12278, 5948, 630, 1220, 271, 264, 634, 26616, 543, 18926, 15015, 540, 10076, 15136, 267, 476, 275, 628, 1196, 333, 1421, 7956, 31280, 269, 6115, 267, 9823, 281, 1977, 5369, 12278, 5948, 563, 268, 932, 3711, 1652, 667, 299, 543, 670, 3326, 517, 26712, 630, 1960, 279, 264, 20223, 10686, 1227, 6462, 11257, 269, 4750, 540, 31173, 543, 11916, 10017, 476, 5780, 281, 476, 278, 1700, 1240, 563, 268, 2441, 14279, 523, 18317, 543, 18200, 11548, 20793, 630, 1220, 272, 264, 32192, 2334, 4518, 609, 5753, 281, 2506, 2869, 1227, 8081, 539, 11150, 585, 19737, 19974, 10819, 269, 6115, 267, 9823, 281, 1977, 16723, 5948, 563, 268, 3213, 773, 808, 291, 267, 654, 3430, 29458, 267, 4639, 590, 294, 267, 1696, 620, 269, 630, 1960, 274, 264, 634, 2257, 540, 6604, 281, 589, 12497, 5943, 543, 930, 8846, 585, 513, 3084, 1382, 1982, 269, 1977, 5369, 6048, 476, 4366, 281, 476, 6200, 274, 1700, 9083, 273, 563, 268, 667, 3326, 645, 630, 1960, 277, 264, 2776, 28700, 540, 17867, 4713, 538, 1453, 543, 6107, 281, 1323, 16786, 585, 14223, 676, 1153, 6530, 269, 3427, 10017, 22588, 569, 476, 1556, 281, 476, 736, 1700, 5379, 563, 268, 20673, 19734, 589, 292, 543, 1284, 529, 345, 808, 305, 630, 1220, 274, 264, 15845, 15369, 5369, 6139, 1905, 625, 585, 5753, 543, 20390, 30105, 269, 1715, 3840, 281, 634, 2871, 559, 5112, 4964, 563, 268, 918, 612, 2401, 25846, 267, 19161, 331, 1495, 623, 267, 5915, 2401, 744, 267, 29883, 681, 267, 543, 9546, 1562, 661, 292, 630, 1220, 276, 264, 17151, 8135, 9860, 543, 2085, 6361, 268, 976, 564, 14778, 540, 32663, 268, 4353, 4713, 538, 519, 3084, 635, 12643, 7190, 5619, 18643, 269, 19964, 540, 4937, 24741, 476, 7830, 281, 476, 277, 1704, 1700, 277, 2767, 563, 268, 631, 770, 523, 6789, 543, 3213, 1846, 10290, 808, 291, 630, 1960, 279, 264, 634, 1646, 540, 16169, 538, 15028, 543, 30369, 5054, 281, 16497, 689, 1382, 593, 3811, 1453, 269, 1977, 5369, 6048, 476, 7871, 281, 476, 13078, 1700, 13136, 563, 268, 715, 770, 14515, 645, 298, 543, 670, 3558, 32024, 808, 630, 1220, 279, 264, 28518, 2298, 543, 7145, 540, 2551, 2861, 2533, 269, 769, 281, 667, 3326, 645, 543, 595, 17026, 902, 808, 630, 2644, 4700, 3690, 14127, 3427, 10076, 2657, 7896, 281, 15510, 15369, 22604, 547, 26472, 519, 14847, 1890, 543, 25682, 540, 5753, 267, 6032, 269, 476, 25090, 1700, 28510, 269, 23897, 663, 744, 6545, 267, 11404, 281, 4856, 7773, 4964, 563, 268, 13780, 631, 267, 595, 6412, 334, 595, 267, 654, 32752, 2006, 589, 267, 1696, 620, 269, 630, 1220, 274, 264, 1548, 1568, 538, 6604, 281, 14362, 540, 2500, 6604, 3292, 269, 1977, 5369, 6048, 476, 6812, 281, 476, 4510, 280, 1700, 27174, 563, 268, 14642, 615, 667, 267, 667, 342, 9807, 918, 267, 543, 12722, 590, 630, 1220, 275, 264, 15822, 267, 8081, 633, 267, 543, 21988, 12140, 281, 5153, 676, 5153, 269, 7043, 23992, 267, 2910, 281, 590, 641, 5142, 4964, 563, 268, 10374, 681, 543, 6790, 514, 654, 630, 1220, 279, 264, 4317, 543, 8965, 27496, 281, 15510, 2861, 1966, 8446, 543, 5464, 269, 769, 281, 667, 3326, 645, 543, 595, 17026, 902, 808, 630, 2644, 4700, 3690, 14127, 3427, 10076, 2657, 7896, 281, 15510, 15369, 22604, 547, 26472, 519, 14847, 1890, 543, 25682, 540, 5753, 267, 6032, 269, 476, 2537, 1700, 5655, 269, 23897, 663, 744, 6545, 267, 11404, 281, 4856, 7773, 4964, 563, 268, 6790, 514, 654, 267, 14208, 698, 6229, 918, 267, 543, 595, 7897, 589, 630, 1220, 274, 264, 3427, 6530, 281, 589, 1857, 1072, 5133, 269, 594, 269, 10644, 267, 5095, 267, 543, 1949, 1689, 269, 4750, 540, 3427, 10017, 476, 6078, 281, 476, 2537, 1700, 4343, 563, 268, 21701, 32518, 543, 1744, 4883, 19182, 630, 1220, 273, 264, 13419, 1005, 1153, 2861, 7459, 547, 3035, 7471, 3119, 267, 6281, 267, 543, 24596, 6604, 3853, 585, 2922, 543, 2500, 3506, 269, 769, 281, 1744, 4883, 10790, 267, 21701, 32518, 267, 543, 853, 517, 518, 717, 630, 2644, 4700, 3955, 6761, 585, 14288, 543, 10263, 10819, 4083, 281, 16473, 633, 543, 3816, 539, 658, 22604, 267, 6032, 269, 476, 272, 1700, 2918, 269, 5975, 1127, 6767, 267, 11022, 281, 2817, 5948, 540, 3427, 5369, 5505, 563, 268, 667, 3326, 645, 543, 595, 17026, 902, 808, 630, 1220, 279, 264, 3690, 14127, 3427, 10076, 2657, 7896, 281, 15510, 15369, 22604, 547, 26472, 519, 14847, 1890, 543, 25682, 540, 5753, 269, 23897, 663, 744, 6545, 267, 11404, 281, 4856, 7773, 4964, 563, 268, 715, 770, 14515, 645, 298, 630, 1220, 275, 264, 20051, 519, 2591, 540, 519, 2104, 281, 23889, 1857, 1072, 543, 1857, 2069, 585, 2790, 1072, 13319, 269, 4750, 540, 12409, 543, 16723, 13693, 566, 476, 1428, 281, 476, 27768, 1700, 24374, 563, 268, 5291, 2517, 4178, 269, 2335, 28086, 13318, 3482, 3820, 14121, 8962, 27651, 21703, 1107, 7788, 28086, 4659, 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 ]
[ 3077, 568, 6603, 454, 825, 1247, 12759, 263, 13449, 8217, 264, 3436, 476, 271, 17107, 1038, 1948, 10000, 11845, 1344, 454, 1038, 535, 267, 575, 267, 554, 267, 1225, 267, 1612, 815, 533, 336, 269, 515, 1952, 641, 263, 13449, 8217, 994, 1038, 2385, 8548, 777, 314, 2017, 314, 271, 316, 6012, 2017, 314, 272, 14963, 815, 1612, 692, 1038, 1948, 2252, 519, 3077, 568, 6603, 267, 3247, 519, 3406, 454, 1038, 952, 263, 2017, 314, 271, 316, 2525, 339, 13759, 314, 271, 316, 543, 1225, 314, 272, 316, 2652, 3077, 314, 272, 316, 2187, 2018, 1948, 2745, 2891, 307, 13759, 6603, 23528, 2018, 2736, 28329, 1038, 1948, 13425, 952, 6843, 10272, 547, 2057, 21336, 3599, 454, 1038, 952, 1225, 538, 6806, 8217, 281, 3097, 2018, 3136, 28329, 1038, 1948, 13425, 782, 2185, 8846, 454, 1038, 585, 1775, 538, 2039, 12759, 5560, 1311, 687, 4297, 1384, 2018, 1948, 8196, 8846, 5044, 547, 1689, 519, 1699, 2990, 454, 2018, 513, 815, 1225, 314, 271, 316, 1341, 8846, 5157, 6012, 271, 2639, 2018, 536, 815, 1225, 314, 272, 316, 1341, 8846, 5157, 6012, 272, 6540, 2018, 1948, 13425, 952, 4570, 454, 2018, 952, 5416, 13843, 7003, 9852, 10270, 264, 610, 536, 13843, 7003, 9852, 10270, 264, 610, 513, 2999, 476, 271, 610, 536, 2999, 476, 271, 2187, 3546, 3136, 454, 2018, 952, 9852, 10270, 314, 320, 6012, 321, 316, 2652, 476, 272, 2187, 3546, 3136, 454, 27030, 2018, 1948, 13425, 952, 6843, 593, 3595, 585, 4640, 476, 273, 6388, 454, 2018, 952, 9852, 10270, 314, 320, 6012, 321, 316, 2652, 910, 272, 2187, 3546, 3136, 454, 27030, 2018, 1948, 13425, 952, 10272, 454, 2018, 952, 9230, 320, 14720, 264, 538, 6806, 8217, 2567, 3097, 3546, 3136, 454, 27030, 2018, 1948, 303, 2313, 519, 1007, 1344, 547, 519, 1930, 1592, 3097, 2018, 533, 336, 269, 515, 1952, 2313, 263, 13449, 8217, 267, 263, 326, 266, 272, 266, 1326, 5091, 2700, 9230, 320, 14720, 1070, 3077, 1070, 326, 266, 272, 267, 1326, 5091, 2700, 9230, 320, 14720, 1070, 3077, 32140, 320, 14720, 1070, 2017, 4917, 27030, 13872, 1038, 1948, 303, 2313, 519, 1699, 1344, 547, 519, 6806, 1592, 454, 1038, 6806, 8217, 14491, 263, 2017, 2020, 825, 1948, 31711, 519, 1336, 2619, 3097, 825, 2619, 815, 11713, 825, 6843, 815, 3077, 692, 825, 1948, 13425, 952, 972, 729, 513, 2619, 1336, 693, 782, 267, 7024, 476, 271, 547, 5815, 1100, 2619, 454, 825, 952, 263, 8001, 8548, 777, 19559, 1712, 314, 271, 316, 6012, 27161, 314, 272, 14963, 2652, 630, 271, 267, 271, 15892, 1038, 1948, 2745, 2891, 258, 540, 10272, 9136, 281, 834, 1341, 1193, 12759, 263, 743, 2216, 8217, 21875, 1038, 1948, 2745, 2891, 5591, 2619, 1336, 23528, 1038, 2132, 476, 271, 22562, 825, 1948, 2252, 972, 729, 267, 1402, 3634, 519, 2619, 1592, 609, 519, 2953, 7158, 454, 825, 1247, 6936, 1384, 1038, 1948, 9359, 689, 519, 1439, 540, 519, 2619, 267, 16439, 3077, 909, 519, 2385, 4786, 454, 1038, 2619, 6910, 27316, 994, 1038, 6843, 815, 2385, 8548, 777, 19559, 1712, 314, 271, 316, 6012, 27161, 314, 272, 27663, 13872, 1038, 1948, 5629, 3077, 10301, 519, 4098, 267, 519, 2619, 568, 8737, 454, 1038, 952, 6843, 314, 271, 316, 2652, 910, 272, 912, 2018, 2736, 692, 825, 1948, 27987, 519, 1336, 2619, 454, 825, 2619, 815, 2619, 11468, 18737, 272, 2639, 825, 1948, 2745, 2891, 258, 540, 10272, 9136, 281, 834, 1341, 1193, 12759, 263, 743, 2216, 8217, 21875, 825, 2132, 2619, 7531, 12163, 2252, 972, 568, 1100, 2619, 689, 590, 547, 717, 267, 1287, 519, 3328, 2048, 15893, 540, 9136, 8268, 676, 645, 12396, 3097, 268, 1297, 540, 9136, 8268, 676, 589, 4501, 501, 685, 1131, 581, 4642, 267, 2094, 789, 1131, 991, 547, 2638, 519, 454, 338, 877, 2179, 540, 9136, 547, 2097, 547, 602, 3932, 269, 634, 3677, 519, 2048, 984, 560, 12386, 5860, 533, 20371, 1492, 811, 2693, 519, 1285, 326, 1297, 540, 9136, 1131, 581, 1804, 607, 1134, 269, 567, 692, 20701, 258, 31262, 585, 28321, 5860, 1996, 645, 12396, 5025, 265, 6843, 1293, 1996, 1142, 824, 454, 3698, 4729, 29758, 12396, 318, 17129, 2752, 10031, 8931, 825, 2625, 815, 476, 271, 454, 825, 2698, 815, 476, 271, 454, 825, 21677, 318, 2889, 2125, 815, 11713, 825, 6843, 18045, 815, 29129, 8931, 825, 1948, 8620, 1592, 540, 21677, 24186, 267, 1213, 13586, 676, 476, 271, 269, 272, 454, 825, 585, 1775, 538, 2039, 263, 1015, 2187, 1038, 21677, 318, 2889, 2125, 6910, 263, 22238, 994, 1038, 2625, 6834, 476, 271, 269, 272, 22562, 825, 1948, 299, 17274, 998, 1142, 21677, 5860, 454, 825, 585, 1775, 538, 2039, 12759, 263, 984, 560, 12386, 318, 2889, 2125, 15892, 13872, 1038, 1948, 3725, 701, 520, 476, 2412, 2053, 585, 1142, 5506, 454, 1038, 585, 795, 538, 2039, 263, 2412, 2187, 27030, 2018, 28618, 815, 5352, 8548, 10270, 263, 1911, 267, 21677, 318, 2889, 2125, 5157, 7481, 27030, 2018, 1948, 8138, 339, 847, 9136, 281, 645, 12396, 910, 589, 20330, 2018, 3017, 815, 645, 12396, 9852, 10270, 267, 630, 271, 267, 271, 1070, 630, 6352, 9852, 10270, 9984, 272, 267, 6352, 9852, 10270, 9984, 272, 4297, 314, 272, 316, 910, 513, 318, 30252, 9852, 10270, 267, 630, 271, 267, 271, 1070, 630, 6352, 9852, 10270, 9984, 272, 267, 7003, 9852, 10270, 9984, 272, 4297, 314, 272, 2639, 2018, 2698, 6834, 3017, 28329, 1038, 6843, 18045, 6910, 6025, 4973, 1315, 476, 2412, 994, 1038, 2698, 815, 476, 271, 22562, 825, 1948, 5522, 582, 8638, 1996, 1142, 824, 454, 825, 12301, 19502, 263, 984, 560, 12386, 318, 2889, 2125, 267, 6843, 18045, 994, 825, 12301, 11859, 16932, 2891, 11917, 560, 12386, 5860, 533, 5602, 825, 12301, 269, 29786, 2891, 30182, 1948, 9136, 540, 645, 12396, 5025, 265, 5602, 8931, 825, 1948, 8620, 513, 8675, 1739, 3898, 454, 825, 1948, 4486, 815, 1843, 5860, 454, 825, 1948, 7407, 815, 5506, 596, 666, 979, 689, 590, 547, 717, 6707, 454, 825, 759, 815, 15079, 3097, 825, 585, 1883, 538, 21677, 318, 2889, 2125, 281, 3097, 1038, 585, 1871, 538, 6843, 18045, 281, 3097, 2018, 759, 314, 4486, 316, 815, 1871, 3097, 2018, 6843, 18045, 31927, 263, 7407, 264, 3097, 2018, 2736, 3097, 13872, 825, 2132, 759, 7531, 12163, 14818, 532, 585, 645, 12396, 267, 589, 24682, 543, 13602, 454, 12163, 12163, 258, 14818, 532, 645, 12396, 454, 332, 10270, 815, 5352, 8548, 10270, 263, 276, 267, 476, 271, 269, 274, 994, 2745, 9852, 10270, 994, 2745, 16360, 12396, 9852, 10270, 267, 630, 271, 267, 271, 1070, 630, 275, 267, 275, 4297, 9239, 258, 14818, 532, 589, 265, 3097, 332, 815, 20886, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 16689, 825, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 16689, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 16689, 825, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 2639, 825, 23378, 2745, 5416, 318, 30252, 9852, 267, 263, 271, 267, 271, 32140, 275, 267, 275, 4297, 9239, 258, 305, 684, 4729, 454, 2745, 263, 7120, 29758, 12396, 318, 17129, 2752, 15405, 20701, 12163, 9223, 476, 275, 281, 17435, 5014, 585, 667, 12396, 267, 645, 12396, 267, 589, 20330, 20701, 454, 12163, 9223, 476, 276, 281, 15613, 476, 272, 267, 476, 273, 267, 476, 274, 454, 12163, 258, 31262, 585, 14027, 519, 3595, 835, 1900, 454, 3698, 4434, 6958, 790, 318, 821, 14067, 788, 9852, 10270, 267, 7117, 2187, 8931, 825, 1948, 303, 6372, 5322, 538, 519, 28618, 454, 825, 8846, 815, 20886, 271, 267, 272, 3910, 1496, 271, 16427, 272, 3910, 1496, 272, 267, 271, 3910, 30585, 272, 267, 271, 27663, 8931, 825, 1948, 290, 4878, 3312, 28618, 454, 825, 28618, 6831, 4878, 815, 2620, 32476, 9852, 10270, 994, 8931, 825, 1948, 299, 17274, 998, 10974, 538, 28618, 454, 825, 585, 1535, 538, 2039, 12759, 9852, 10270, 15892, 13872, 1038, 585, 586, 538, 2039, 12759, 9852, 10270, 20572, 8079, 2187, 27030, 2018, 1948, 15575, 1297, 540, 12543, 540, 630, 343, 11971, 264, 538, 1699, 28618, 602, 616, 593, 3595, 3097, 2018, 3595, 18045, 815, 476, 271, 454, 27030, 2018, 1948, 11514, 2958, 731, 4376, 602, 781, 711, 513, 4570, 2230, 454, 2018, 952, 9852, 10270, 20572, 6012, 344, 316, 11203, 476, 271, 2187, 3546, 3136, 454, 27030, 2018, 1948, 31161, 782, 476, 275, 8846, 454, 2018, 585, 1775, 538, 2039, 12759, 5560, 1311, 687, 15892, 4449, 454, 3546, 513, 815, 1535, 1341, 8846, 5157, 6012, 271, 2639, 3546, 536, 815, 586, 1341, 8846, 5157, 6012, 272, 2639, 4449, 454, 3546, 1948, 13425, 952, 4570, 454, 3546, 952, 5416, 2999, 476, 271, 610, 536, 2999, 476, 271, 610, 513, 13843, 7003, 9852, 10270, 264, 610, 536, 13843, 7003, 9852, 10270, 15892, 7386, 3136, 454, 4449, 454, 3546, 1948, 19102, 618, 3595, 4831, 454, 3546, 952, 9852, 10270, 314, 320, 6012, 321, 316, 2652, 910, 272, 2187, 7386, 3595, 18045, 6834, 476, 272, 454, 27030, 2018, 1948, 24280, 5506, 540, 540, 1900, 1373, 593, 3595, 1985, 1900, 454, 2018, 2625, 815, 476, 272, 910, 630, 272, 268, 336, 264, 1262, 13933, 18045, 454, 2018, 952, 18828, 20179, 20179, 3890, 10922, 2625, 2187, 3546, 28618, 6831, 4878, 20572, 6012, 344, 316, 815, 910, 272, 22562, 825, 2132, 28618, 6831, 4878, 19638, 258, 31262, 585, 4259, 606, 3355, 267, 19747, 1900, 593, 3595, 454, 3698, 1305, 318, 517, 6958, 790, 9852, 10270, 2187, 8931, 825, 1948, 7049, 4733, 513, 4351, 11282, 607, 1279, 607, 6074, 1900, 568, 4570, 454, 825, 1247, 6936, 912, 1038, 1535, 815, 5286, 20179, 27110, 12759, 9852, 10270, 4917, 1038, 586, 815, 5286, 20179, 27110, 12759, 9852, 10270, 4917, 8931, 1038, 952, 28618, 20572, 6012, 344, 316, 2652, 476, 271, 912, 27030, 2018, 28618, 20572, 6012, 344, 316, 815, 910, 272, 454, 2018, 2736, 22562, 825, 2132, 28618, 7531, 12163, 13729, 28618, 593, 3595, 4152, 454, 12163, 258, 3849, 9330, 3595, 835, 1900, 1449, 2013, 454, 332, 815, 20886, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 16689, 825, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 272, 16689, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 16689, 825, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 825, 30585, 272, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 2639, 825, 23378, 28744, 263, 611, 9330, 6958, 790, 318, 821, 14067, 788, 9852, 267, 476, 271, 269, 279, 11723, 332, 10270, 815, 5352, 8548, 10270, 263, 275, 267, 476, 271, 269, 275, 994, 258, 19530, 3355, 28618, 454, 28744, 9852, 10270, 994, 258, 19530, 28618, 609, 476, 272, 1900, 593, 3595, 454, 28744, 263, 3553, 318, 517, 6958, 790, 9852, 10270, 264, 9239, 258, 31262, 585, 15613, 476, 272, 454, 3698, 4640, 318, 272, 9852, 10270, 267, 7117, 2187, 8931, 825, 1948, 22873, 658, 1125, 1376, 543, 1439, 2798, 454, 825, 1376, 815, 630, 271, 267, 271, 994, 825, 3077, 815, 630, 6352, 9852, 10270, 9984, 272, 267, 7003, 9852, 10270, 9984, 272, 994, 8931, 825, 1305, 318, 517, 6958, 790, 9852, 10270, 2020, 825, 20125, 24786, 815, 513, 318, 30252, 9852, 10270, 267, 1376, 267, 3077, 994, 8931, 825, 952, 20125, 24786, 2652, 476, 271, 912, 1038, 1948, 2745, 2891, 5591, 2619, 6818, 23528, 1038, 1948, 2745, 2891, 29806, 28618, 281, 19515, 1038, 1948, 2745, 18828, 269, 9795, 9852, 10270, 4917, 1038, 2132, 476, 271, 22562, 825, 1948, 2745, 18828, 269, 9795, 9852, 10270, 11723, 825, 1900, 6831, 3300, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 263, 26211, 652, 24786, 15892, 13872, 13872, 1038, 1225, 815, 20125, 24786, 5157, 2639, 13872, 1038, 1900, 6831, 3300, 6834, 476, 272, 28329, 1038, 952, 9852, 10270, 314, 2017, 314, 271, 316, 6012, 2017, 314, 272, 14963, 2652, 910, 272, 2187, 2018, 1948, 2745, 2891, 288, 7217, 14616, 32405, 2018, 1948, 2745, 2891, 288, 7217, 10272, 834, 1341, 1193, 263, 21163, 6831, 3300, 264, 1341, 834, 9136, 1354, 20414, 593, 3595, 23528, 2018, 1948, 2745, 2891, 29806, 28618, 281, 19515, 2018, 1948, 2745, 18828, 269, 9795, 9852, 10270, 4917, 2018, 2132, 910, 272, 28329, 1038, 28618, 815, 4434, 6958, 790, 318, 821, 14067, 788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1421, 476, 1001, 274, 269, 16549, 869, 779, 991, 15796, 3069, 281, 10241, 543, 30852, 269, 6820, 4750, 540, 5004, 543, 6355, 5525, 267, 476, 274, 263, 1015, 1070, 6032, 269, 11793, 272, 268, 11793, 275, 563, 301, 15625, 267, 700, 1421, 595, 2313, 542, 267, 595, 12282, 1421, 8000, 2350, 267, 623, 269, 543, 717, 3336, 267, 681, 1421, 476, 1001, 275, 269, 14161, 29124, 267, 1565, 543, 3872, 2259, 281, 11879, 9270, 543, 3156, 538, 5026, 18006, 269, 22505, 267, 4065, 543, 5980, 267, 476, 866, 263, 276, 1070, 6032, 269, 276, 1724, 268, 276, 4029, 563, 9895, 24939, 3273, 541, 3820, 269, 476, 1001, 279, 269, 1496, 26020, 316, 12232, 693, 281, 4179, 2517, 23486, 338, 269, 9895, 24939, 3273, 541, 3820, 11305, 274, 325, 278, 270, 279, 325, 4037, 322, 6767, 7830, 323, 4649, 322, 280, 6507, 5325, 324, 276, 324, 274, 323, 11025, 323, 273, 324, 276, 20660, 3385, 7367, 15005, 1496, 16966, 539, 476, 2190, 3057, 269, 476, 1001, 279, 14073, 26156, 1598, 622, 267, 715, 8160, 1421, 12113, 337, 926, 267, 631, 269, 543, 1488, 323, 3881, 267, 631, 1421, 476, 1001, 277, 269, 634, 1082, 8188, 540, 7326, 281, 1323, 7634, 540, 2686, 3620, 626, 5566, 7326, 12013, 1513, 8761, 4052, 267, 10952, 267, 543, 1649, 5271, 565, 550, 30384, 269, 22226, 543, 4317, 10017, 28743, 267, 476, 5655, 263, 276, 1070, 6032, 269, 5780, 273, 268, 6858, 277, 563, 310, 529, 3256, 267, 808, 10422, 1421, 932, 528, 267, 918, 13034, 11065, 1421, 14208, 698, 6229, 267, 918, 9950, 269, 543, 9710, 21032, 267, 590, 8160, 1421, 476, 1001, 275, 269, 16743, 10073, 281, 513, 2689, 540, 6436, 543, 21437, 269, 10029, 543, 8889, 538, 10076, 2657, 543, 10076, 2657, 7896, 3194, 267, 476, 6078, 263, 275, 1070, 6032, 269, 21878, 268, 2004, 273, 269, 0, 30706, 9289, 827, 519, 21785, 11206, 3032, 14438, 286, 4270, 267, 596, 2461, 538, 519, 1318, 1747, 256, 769, 713, 2376, 267, 649, 3580, 5490, 2620, 883, 519, 22539, 1158, 540, 519, 21785, 11206, 3032, 269, 3245, 922, 3638, 1686, 547, 922, 2189, 4162, 267, 649, 3580, 3382, 621, 782, 563, 3383, 267, 952, 596, 2461, 513, 3032, 27423, 610, 1175, 8049, 827, 713, 23836, 9742, 267, 1832, 2542, 543, 3605, 519, 13300, 540, 713, 32090, 26804, 2336, 763, 14438, 540, 519, 21785, 11206, 3032, 3335, 9832, 1063, 476, 1321, 547, 476, 1626, 1296, 269, 2060, 1697, 1416, 267, 3007, 267, 543, 2834, 18915, 2638, 13522, 267, 891, 23836, 535, 3894, 666, 1291, 513, 1279, 543, 2635, 1272, 267, 1818, 873, 513, 19644, 13959, 585, 1082, 1296, 563, 301, 528, 19886, 11206, 3032, 14438, 281, 1548, 1058, 596, 917, 888, 2691, 596, 1589, 540, 519, 21785, 11206, 3032, 267, 621, 779, 1271, 547, 3314, 602, 713, 3032, 9742, 568, 711, 1175, 1022, 8723, 26804, 269, 7880, 3215, 689, 519, 4411, 21785, 7733, 267, 891, 7314, 267, 1419, 5219, 547, 607, 654, 1122, 625, 267, 723, 7960, 547, 581, 7347, 543, 14388, 563, 19853, 5394, 5595, 10359, 543, 1668, 1506, 2766, 616, 513, 15266, 547, 741, 9542, 547, 519, 10792, 32090, 2916, 269, 1809, 950, 621, 2501, 547, 741, 14438, 267, 1082, 2188, 2097, 883, 1404, 269, 3807, 899, 1022, 824, 9742, 267, 741, 14438, 666, 581, 6766, 676, 11976, 267, 1072, 2175, 267, 543, 1416, 563, 4913, 267, 519, 3328, 21785, 11206, 3032, 666, 2661, 9170, 689, 476, 1321, 547, 476, 1626, 1296, 267, 2016, 1697, 1416, 543, 3007, 269, 901, 1522, 3100, 899, 519, 3328, 3032, 14438, 267, 855, 6236, 519, 2450, 543, 1628, 540, 713, 1804, 9742, 267, 621, 779, 3833, 11141, 563, 763, 21785, 11206, 3032, 9742, 568, 1634, 585, 922, 7347, 1072, 267, 855, 789, 2461, 1869, 11630, 547, 1978, 1072, 2175, 269, 8617, 18915, 2638, 13522, 267, 513, 7059, 2732, 267, 543, 606, 3742, 6197, 666, 2327, 707, 26804, 3659, 21593, 513, 1279, 543, 16180, 1272, 563, 1432, 568, 519, 1592, 540, 1072, 2175, 7133, 519, 21785, 11206, 3032, 888, 763, 21785, 11206, 3032, 267, 899, 1022, 824, 3032, 9742, 267, 814, 922, 2671, 540, 1072, 4145, 269, 2755, 789, 616, 3622, 2635, 267, 1373, 3222, 540, 1761, 1072, 2152, 666, 2285, 596, 4708, 540, 2247, 543, 948, 538, 2038, 7020, 543, 2126, 563, 268, 31946, 322, 4094, 4859, 2068, 1826, 10001, 281, 589, 22420, 2783, 1141, 519, 11747, 3743, 585, 8840, 1524, 25026, 4094, 538, 519, 1560, 568, 28119, 269, 901, 666, 1291, 547, 513, 19221, 540, 25026, 4094, 538, 519, 1560, 267, 4929, 1585, 1072, 2152, 563, 268, 31177, 7988, 25936, 281, 5871, 538, 1804, 9742, 7314, 267, 713, 2783, 5540, 519, 12048, 4745, 267, 4929, 1928, 543, 12263, 563, 268, 5754, 13630, 13116, 6315, 3912, 14527, 281, 589, 2295, 2783, 602, 666, 1291, 547, 2295, 5821, 952, 711, 9571, 543, 5701, 2038, 563, 268, 717, 16256, 10001, 281, 589, 4719, 4524, 602, 5540, 519, 6091, 543, 666, 1291, 547, 29648, 31100, 23979, 563, 2005, 779, 2141, 4363, 547, 5077, 609, 513, 18915, 3318, 952, 596, 14353, 1022, 1072, 2152, 538, 707, 21785, 11206, 3032, 563, 1692, 1281, 519, 21785, 11206, 3032, 779, 14438, 5635, 547, 824, 14981, 286, 630, 8368, 994, 763, 21785, 11206, 3032, 568, 1419, 3379, 547, 824, 1279, 3620, 8529, 14981, 1813, 547, 922, 29413, 10359, 543, 23836, 5920, 269, 2913, 779, 1294, 875, 741, 3328, 12468, 335, 753, 10518, 909, 1996, 824, 2442, 1279, 3620, 8529, 14981, 912, 18871, 520, 6601, 539, 1475, 30182, 17151, 525, 3966, 2008, 347, 301, 528, 19886, 11206, 3032, 1475, 1321, 268, 1626, 1296, 2008, 23277, 12578, 595, 3019, 1475, 1321, 268, 1428, 1296, 2008, 30106, 24642, 880, 4911, 7702, 1475, 1321, 268, 1240, 1296, 2008, 347, 23873, 31701, 724, 1515, 1475, 1321, 268, 1691, 1296, 2008, 30106, 24642, 880, 11709, 1475, 1321, 268, 1704, 1296, 2008, 4407, 891, 12468, 335, 753, 616, 25939, 267, 1367, 1416, 267, 11976, 267, 543, 2825, 2188, 666, 3310, 519, 15325, 540, 1142, 9742, 563, 1692, 547, 2327, 707, 21785, 11206, 3032, 2729, 513, 1279, 543, 2635, 1272, 281, 589, 1900, 8386, 9912, 3391, 454, 2252, 596, 2461, 519, 10583, 8227, 540, 513, 21785, 11206, 3032, 267, 4180, 789, 2661, 513, 1279, 543, 2635, 1272, 568, 17216, 513, 10862, 269, 3371, 779, 513, 1900, 8386, 9912, 3391, 547, 948, 596, 3035, 602, 912, 268, 8617, 27259, 6744, 13522, 281, 11408, 2327, 707, 21785, 11206, 3032, 4991, 2834, 2638, 13522, 269, 901, 2337, 538, 2038, 7020, 540, 1022, 1761, 1072, 2152, 563, 268, 7195, 2331, 10791, 281, 16376, 707, 3032, 513, 7059, 2732, 5078, 585, 741, 2085, 267, 2597, 267, 543, 2534, 1377, 563, 268, 11644, 281, 18918, 707, 3032, 538, 1404, 6888, 543, 2238, 547, 1832, 873, 3742, 543, 3514, 563, 268, 717, 3336, 532, 281, 4256, 5595, 10359, 666, 8774, 543, 1831, 8126, 1194, 269, 8617, 25462, 5849, 741, 10359, 3788, 2635, 563, 268, 1473, 3233, 12389, 281, 2755, 789, 723, 2067, 26756, 267, 621, 779, 10930, 547, 1832, 873, 607, 606, 11255, 3032, 547, 2149, 873, 689, 5007, 6937, 543, 3676, 563, 16729, 891, 3268, 666, 3648, 3986, 519, 2298, 543, 3259, 540, 707, 3032, 779, 1272, 563, 1692, 1705, 519, 21785, 11206, 3032, 9742, 22132, 888, 763, 1686, 540, 519, 21785, 11206, 3032, 568, 607, 22539, 607, 922, 5920, 269, 5617, 773, 1386, 547, 581, 1863, 8573, 4474, 6469, 7314, 4547, 547, 16157, 676, 5880, 19470, 267, 891, 7314, 723, 513, 3638, 1686, 23091, 609, 25655, 17691, 269, 2368, 8941, 1256, 2303, 602, 891, 7314, 941, 1031, 676, 31557, 607, 544, 748, 619, 593, 741, 9635, 269, 3683, 942, 267, 891, 7314, 9862, 547, 519, 10792, 32090, 2916, 267, 3384, 741, 5394, 267, 1216, 3146, 335, 749, 550, 5595, 10359, 563, 5194, 3069, 5267, 602, 519, 21785, 11206, 3032, 1522, 723, 12090, 689, 1279, 3620, 8529, 7314, 899, 519, 15349, 4911, 7702, 267, 4547, 547, 16157, 689, 4279, 6628, 269, 17859, 540, 741, 3169, 8129, 267, 519, 21785, 11206, 3032, 814, 1044, 513, 851, 540, 21785, 18691, 585, 5553, 267, 1419, 13269, 607, 25386, 7068, 609, 513, 23836, 4527, 563, 1432, 616, 519, 2189, 4162, 540, 519, 21785, 11206, 3032, 888, 763, 21785, 11206, 3032, 267, 1419, 5219, 547, 607, 519, 654, 1122, 773, 267, 568, 513, 9742, 602, 6763, 856, 267, 711, 1175, 1317, 540, 922, 1686, 855, 849, 922, 10058, 2934, 269, 4256, 5595, 10359, 568, 835, 540, 741, 1034, 10747, 4162, 269, 634, 896, 1723, 520, 568, 10053, 543, 15144, 569, 267, 1247, 519, 1283, 10359, 568, 5347, 543, 1216, 3146, 335, 749, 550, 269, 901, 4999, 5849, 789, 3251, 3636, 543, 3819, 538, 519, 14927, 21785, 7733, 563, 19853, 4064, 616, 1804, 267, 22192, 267, 543, 666, 581, 540, 1022, 2681, 267, 1419, 10452, 519, 12094, 540, 741, 10359, 269, 4256, 1668, 1506, 2766, 568, 1776, 10058, 4183, 267, 1419, 607, 1279, 607, 741, 1560, 267, 4543, 873, 3666, 593, 3529, 8371, 269, 4256, 2178, 16757, 1628, 267, 5916, 609, 741, 22679, 529, 1438, 2470, 267, 2306, 873, 5140, 6172, 1499, 269, 1358, 849, 723, 8913, 1111, 539, 10772, 543, 513, 678, 4428, 1472, 741, 8405, 267, 4758, 873, 513, 17794, 6438, 5920, 563, 1692, 1281, 519, 21785, 11206, 3032, 779, 29525, 8428, 689, 824, 14981, 888, 763, 21785, 11206, 3032, 568, 711, 1175, 513, 5898, 547, 1531, 1245, 855, 849, 814, 513, 29525, 602, 2306, 873, 513, 5172, 1851, 3032, 12439, 269, 1358, 616, 1634, 585, 741, 1914, 762, 543, 15754, 622, 2470, 269, 9521, 930, 14981, 602, 1522, 581, 620, 334, 1993, 267, 519, 21785, 11206, 3032, 568, 1634, 547, 581, 3833, 7874, 267, 1256, 609, 21046, 563, 5445, 616, 849, 11212, 3461, 267, 1818, 873, 1390, 15274, 585, 3885, 609, 1453, 269, 4256, 22488, 2470, 5849, 789, 1205, 2059, 1134, 609, 824, 10130, 1932, 563, 4913, 267, 621, 779, 1271, 547, 3314, 602, 789, 616, 849, 3833, 4830, 269, 1358, 2972, 741, 4805, 942, 543, 1522, 1419, 1265, 513, 9602, 7944, 547, 6001, 269, 4256, 2067, 26756, 849, 1118, 873, 8049, 17701, 267, 865, 1810, 1406, 581, 14281, 952, 596, 1265, 707, 654, 1122, 773, 829, 3481, 593, 519, 5207, 15808, 610, 3695, 6456, 562, 23697, 543, 1835, 2335, 625, 563, 763, 21785, 11206, 3032, 6585, 513, 2027, 1747, 538, 519, 12271, 540, 1082, 32090, 3032, 18798, 269, 4256, 1686, 267, 23091, 609, 25245, 17691, 543, 18691, 267, 2306, 873, 513, 3090, 540, 16157, 779, 3638, 2686, 6561, 269, 1809, 621, 779, 711, 1175, 741, 1686, 602, 2306, 873, 2442, 269, 4256, 13916, 547, 519, 4411, 32090, 2916, 267, 7064, 547, 741, 5394, 5595, 10359, 267, 2306, 873, 3501, 585, 519, 3148, 563, 11101, 267, 741, 1914, 762, 543, 15754, 622, 2470, 2306, 873, 1390, 15274, 269, 1358, 616, 849, 1634, 585, 741, 4987, 543, 22679, 529, 1438, 2470, 267, 1419, 2502, 741, 5411, 538, 22488, 1884, 923, 563, 763, 21785, 11206, 3032, 8630, 543, 1585, 9742, 619, 538, 519, 3148, 723, 849, 5129, 513, 1713, 1909, 538, 5009, 543, 8497, 713, 2067, 9742, 269, 4256, 23836, 5920, 5916, 609, 741, 7874, 1629, 6756, 528, 5849, 789, 2611, 835, 540, 519, 1034, 8179, 8584, 1123, 14981, 538, 22778, 807, 563, 1432, 616, 519, 25462, 4170, 585, 513, 21785, 11206, 3032, 888, 294, 3336, 532, 568, 606, 1898, 2460, 540, 12391, 585, 513, 21785, 11206, 3032, 269, 4256, 5394, 5595, 10359, 1522, 2285, 519, 12705, 602, 789, 2154, 2834, 25462, 267, 855, 19599, 267, 741, 10359, 568, 2966, 547, 1065, 601, 13897, 543, 3085, 1406, 1319, 3362, 269, 1717, 267, 1282, 519, 17766, 4005, 267, 2523, 538, 5614, 267, 789, 8774, 741, 5162, 896, 1723, 520, 267, 799, 1522, 2154, 811, 7928, 25462, 563, 268, 5696, 5241, 281, 898, 779, 19624, 547, 11453, 707, 21785, 11206, 3032, 693, 2547, 2899, 513, 3018, 547, 4894, 10690, 24827, 543, 2061, 8126, 956, 269, 4438, 519, 17766, 4005, 267, 2810, 519, 4908, 666, 948, 4383, 519, 17766, 563, 268, 24872, 532, 281, 9521, 930, 7314, 267, 519, 21785, 11206, 3032, 779, 10359, 568, 1216, 3146, 335, 749, 550, 269, 901, 1797, 789, 1810, 1406, 1205, 18660, 3362, 269, 24872, 532, 666, 581, 1102, 7528, 550, 267, 1152, 950, 2556, 563, 268, 2423, 27686, 281, 4256, 8913, 1111, 539, 10772, 666, 18645, 13897, 269, 8617, 11974, 543, 9543, 7738, 1210, 513, 3032, 22190, 28508, 1274, 15777, 666, 581, 6225, 563, 19894, 25462, 711, 1152, 2337, 538, 4509, 741, 10359, 855, 849, 2488, 606, 4316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10471, 815, 4452, 339, 868, 3488, 5264, 6958, 3796, 270, 11687, 17902, 5073, 825, 1948, 8237, 1239, 883, 2473, 543, 586, 454, 825, 2473, 11971, 339, 815, 10471, 18020, 272, 281, 280, 3910, 323, 21648, 564, 18020, 271, 2639, 825, 1948, 3514, 2203, 1100, 2866, 1239, 454, 825, 2203, 815, 2473, 16412, 12218, 8595, 4590, 825, 1948, 2745, 2203, 454, 825, 2203, 32265, 11583, 267, 586, 339, 994, 825, 4729, 318, 5814, 766, 263, 16347, 994, 825, 1948, 4183, 2956, 2824, 1100, 269, 540, 2934, 538, 1990, 339, 2687, 547, 15381, 2073, 3144, 476, 272, 1775, 4318, 269, 2415, 10946, 1152, 454, 825, 1990, 4671, 16229, 284, 12639, 27769, 10946, 263, 16347, 8807, 324, 1155, 318, 5814, 1734, 318, 994, 825, 1948, 1818, 1990, 339, 267, 868, 454, 825, 1990, 339, 284, 323, 21648, 564, 18020, 345, 4671, 16229, 2639, 1038, 476, 868, 284, 12639, 19709, 8541, 11583, 267, 1990, 4671, 16229, 267, 476, 272, 264, 476, 1948, 18419, 476, 6241, 540, 2473, 454, 825, 2132, 1990, 339, 267, 868, 11971, 339, 267, 345, 4671, 16229, 454, 258, 3698, 4253, 320, 5332, 333, 4671, 13759, 3287, 338, 267, 868, 267, 345, 339, 267, 903, 32586, 15925, 267, 671, 2187, 258, 825, 5286, 7456, 1400, 326, 8542, 768, 3287, 11053, 2020, 3698, 1292, 6958, 15635, 10031, 825, 1990, 339, 267, 868, 11971, 339, 267, 345, 4671, 16229, 284, 24708, 4671, 13759, 263, 272, 264, 1948, 476, 272, 4564, 875, 1082, 9028, 340, 619, 547, 6854, 538, 1990, 339, 454, 825, 1535, 338, 267, 903, 284, 24708, 5334, 1830, 18750, 4671, 16229, 264, 1948, 1818, 11905, 543, 3077, 1239, 454, 825, 737, 267, 24472, 267, 671, 284, 276, 267, 271, 269, 272, 267, 271, 269, 272, 1948, 1297, 540, 30256, 267, 2597, 9936, 267, 10585, 1436, 9936, 454, 825, 519, 15925, 318, 30976, 284, 30976, 1125, 3287, 338, 267, 903, 267, 868, 267, 345, 339, 267, 330, 994, 825, 1820, 519, 15925, 318, 30976, 454, 825, 23288, 825, 570, 284, 279, 1948, 1100, 269, 540, 2053, 596, 1616, 547, 2196, 21767, 585, 21130, 519, 15925, 454, 825, 519, 15925, 284, 1492, 15925, 318, 30976, 454, 825, 585, 621, 538, 2039, 24867, 2187, 1038, 585, 521, 538, 2039, 12759, 3287, 338, 15892, 2018, 966, 4671, 17624, 284, 1575, 6767, 5332, 333, 4671, 13759, 263, 1492, 15925, 264, 1948, 585, 1169, 1535, 338, 314, 338, 316, 9337, 922, 14282, 30256, 538, 3077, 6389, 454, 1038, 585, 512, 538, 2039, 12759, 263, 868, 15892, 2018, 966, 5334, 17624, 284, 1575, 6767, 5332, 333, 5334, 1830, 263, 1492, 15925, 264, 1948, 585, 1169, 476, 868, 314, 339, 316, 9337, 922, 14282, 30256, 538, 2707, 6389, 454, 1038, 1948, 1631, 649, 723, 966, 4671, 17624, 1299, 966, 5334, 17624, 2073, 26303, 519, 15925, 454, 825, 1820, 519, 15925, 454, 825, 23288, 10852, 6958, 15635, 4590, 0, 258, 715, 8379, 21610, 4821, 476, 2433, 476, 13679, 8146, 2568, 270, 296, 331, 5069, 5204, 1695, 573, 590, 454, 258, 19358, 6549, 567, 2433, 476, 280, 5181, 476, 1001, 279, 454, 258, 30325, 686, 27923, 2433, 2782, 3534, 692, 327, 826, 815, 703, 9272, 9497, 300, 553, 4157, 16988, 562, 559, 2967, 27280, 281, 834, 11723, 604, 27280, 13843, 476, 271, 543, 27280, 10922, 476, 1789, 912, 554, 340, 2801, 815, 834, 16446, 4840, 19197, 27280, 13843, 476, 4029, 543, 27280, 10922, 476, 3445, 912, 554, 340, 2801, 815, 834, 312, 3641, 4840, 19197, 27280, 13843, 476, 11011, 543, 27280, 10922, 476, 5611, 912, 554, 340, 2801, 815, 834, 16675, 4840, 19197, 27280, 13843, 476, 14681, 543, 27280, 10922, 476, 13975, 912, 554, 340, 2801, 815, 834, 290, 12505, 4840, 19197, 27280, 13843, 476, 21076, 543, 27280, 10922, 476, 17734, 912, 554, 340, 2801, 815, 834, 23325, 4840, 19197, 27280, 13843, 476, 27244, 543, 27280, 10922, 476, 20065, 912, 554, 340, 2801, 815, 834, 300, 26047, 320, 4840, 19197, 27280, 13843, 476, 28664, 543, 27280, 10922, 476, 11740, 912, 554, 340, 2801, 815, 834, 16446, 5016, 2745, 2891, 295, 826, 834, 1341, 1193, 22607, 826, 264, 1341, 834, 6071, 30005, 553, 1731, 534, 2112, 3534, 834, 1341, 554, 340, 2801, 264, 0, 258, 715, 8379, 21610, 4821, 476, 2433, 476, 13679, 8146, 2568, 270, 296, 331, 5069, 5204, 1695, 573, 590, 454, 258, 19358, 6549, 567, 2433, 476, 2420, 20029, 476, 1001, 279, 454, 258, 30325, 686, 27923, 2433, 715, 559, 2967, 674, 303, 289, 692, 258, 18452, 795, 636, 331, 1695, 535, 752, 738, 553, 21583, 512, 619, 4215, 454, 329, 636, 331, 1695, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 535, 752, 738, 553, 2433, 834, 4297, 3097, 320, 815, 1496, 476, 271, 585, 1775, 538, 2039, 27203, 636, 331, 1695, 13580, 1948, 24464, 564, 777, 16988, 562, 559, 2967, 546, 926, 967, 4060, 513, 694, 329, 636, 331, 1695, 535, 752, 738, 553, 21583, 512, 619, 4215, 454, 1721, 1775, 538, 2039, 27203, 636, 331, 1695, 2567, 1948, 300, 1263, 326, 21468, 1305, 328, 777, 562, 559, 2967, 967, 4060, 2367, 329, 14508, 21583, 1019, 532, 1074, 534, 454, 825, 513, 5157, 316, 815, 703, 9272, 2891, 297, 636, 331, 1695, 30652, 12118, 11445, 546, 926, 535, 752, 738, 553, 834, 1341, 1193, 9217, 266, 272, 264, 1341, 834, 281, 834, 11723, 258, 300, 529, 531, 562, 559, 2967, 535, 335, 321, 533, 3385, 967, 4060, 562, 565, 267, 581, 21353, 7796, 8811, 267, 737, 732, 3534, 562, 559, 2967, 674, 303, 289, 22619, 752, 513, 16988, 682, 6798, 327, 536, 14008, 29593, 760, 3385, 562, 559, 2967, 21583, 521, 644, 1695, 546, 527, 564, 777, 16988, 454, 325, 335, 321, 815, 513, 314, 271, 6540, 258, 24464, 564, 777, 16988, 562, 559, 2967, 568, 12148, 454, 529, 12148, 815, 6936, 454, 1721, 1775, 538, 513, 281, 1948, 24464, 564, 777, 16988, 1775, 694, 321, 698, 2967, 562, 559, 2967, 1019, 5044, 513, 454, 825, 952, 1775, 4939, 535, 335, 321, 11203, 476, 271, 281, 1948, 297, 11986, 1305, 328, 777, 562, 559, 2967, 533, 3385, 967, 4060, 22619, 752, 521, 4821, 3954, 1146, 476, 271, 21583, 1148, 4176, 320, 740, 531, 1695, 21536, 22462, 621, 340, 1207, 16988, 674, 303, 289, 454, 1038, 568, 12148, 815, 8771, 1948, 631, 10440, 513, 16988, 8771, 267, 795, 11986, 521, 4821, 3954, 1146, 562, 565, 2150, 4157, 5033, 7699, 21536, 22462, 267, 544, 10440, 621, 340, 740, 531, 1695, 674, 303, 289, 5500, 320, 692, 6112, 711, 568, 12148, 281, 1948, 16549, 4157, 737, 1180, 27599, 1247, 795, 11986, 630, 2254, 264, 8771, 454, 825, 535, 335, 321, 20699, 476, 272, 1948, 631, 1263, 584, 30231, 562, 559, 2967, 674, 303, 289, 26523, 8615, 2367, 329, 14508, 562, 559, 2967, 674, 303, 289, 5500, 320, 454, 825, 568, 12148, 815, 6936, 1948, 9093, 564, 777, 16988, 562, 559, 2967, 5033, 3121, 568, 12148, 454, 825, 585, 1775, 538, 513, 912, 1038, 952, 1775, 4939, 535, 335, 321, 11203, 476, 271, 281, 1948, 590, 4821, 694, 13630, 328, 737, 1180, 27599, 1019, 21648, 267, 795, 11986, 2150, 4157, 5033, 7699, 562, 559, 2967, 533, 3385, 5044, 513, 1110, 25222, 562, 5984, 562, 565, 544, 10440, 737, 1180, 27599, 538, 328, 22619, 752, 513, 16988, 1768, 5155, 340, 6062, 267, 694, 3107, 8615, 621, 340, 2367, 329, 14508, 674, 303, 289, 5500, 320, 454, 2018, 568, 12148, 815, 8771, 1948, 297, 11986, 11792, 8811, 22619, 752, 521, 4821, 3954, 1146, 562, 565, 1183, 3387, 8932, 1183, 737, 1180, 27599, 1247, 26523, 8615, 1705, 777, 520, 562, 559, 2967, 674, 303, 289, 692, 258, 301, 559, 2967, 3977, 15854, 1820, 562, 559, 2967, 3977, 454, 719, 815, 834, 297, 636, 331, 1695, 606, 1375, 7974, 4626, 1768, 321, 1415, 752, 21583, 544, 2426, 7219, 740, 531, 1695, 834, 1341, 1193, 6600, 335, 321, 994, 2745, 263, 719, 264, 672, 0, 12163, 1607, 9074, 28352, 31530, 7999, 9218, 3611, 520, 4286, 563, 763, 2856, 568, 519, 1482, 607, 538, 31530, 7999, 5590, 910, 2899, 519, 454, 293, 549, 7999, 9218, 568, 2813, 267, 972, 568, 1100, 1259, 547, 454, 4219, 621, 269, 4935, 267, 713, 568, 606, 1799, 17014, 3611, 520, 4286, 780, 9616, 281, 1703, 729, 513, 11556, 630, 303, 7968, 476, 275, 1626, 264, 547, 2936, 454, 527, 593, 513, 1970, 1377, 538, 5124, 267, 855, 519, 11556, 729, 454, 516, 915, 539, 269, 1280, 811, 1344, 267, 1246, 519, 3095, 912, 10059, 2517, 4178, 4877, 3155, 3820, 270, 22563, 270, 701, 1186, 270, 701, 335, 268, 271, 6078, 277, 13045, 20701, 454, 5035, 31530, 7999, 291, 5315, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2608, 16911, 267, 2878, 29220, 16911, 2187, 1038, 1582, 11519, 18743, 815, 9598, 28949, 16911, 267, 2878, 29220, 16911, 2020, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 1038, 2132, 1582, 11519, 18743, 314, 4486, 6540, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 7003, 4311, 11519, 18743, 2020, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 11519, 18743, 2652, 824, 11519, 18743, 692, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 12055, 4311, 11519, 18743, 2020, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 1883, 2187, 1038, 2132, 1883, 538, 1582, 11519, 18743, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 834, 293, 549, 7999, 291, 5315, 20719, 16585, 2668, 8971, 4311, 11519, 18743, 2020, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 1038, 19474, 1998, 815, 476, 271, 454, 1038, 585, 1883, 538, 1582, 912, 2018, 1130, 815, 1582, 314, 4486, 2639, 2018, 19474, 1998, 9745, 284, 19474, 9230, 4486, 267, 1130, 4917, 1038, 2132, 19474, 1998, 7531, 3698, 1292, 10031, 825, 5727, 14818, 532, 31530, 7999, 291, 5315, 3611, 520, 4286, 12163, 825, 1948, 13281, 31530, 7999, 9218, 5137, 454, 825, 535, 18743, 815, 31530, 7999, 291, 5315, 20719, 257, 320, 9899, 476, 271, 267, 834, 321, 9899, 476, 272, 267, 834, 322, 9899, 476, 273, 348, 994, 825, 952, 535, 18743, 912, 1038, 1820, 2891, 14818, 476, 271, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 271, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 1326, 14403, 1029, 7055, 825, 952, 535, 18743, 14277, 322, 19312, 2652, 476, 273, 912, 1038, 1820, 2891, 14818, 476, 272, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 272, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 6352, 1029, 7055, 825, 952, 7003, 6600, 18743, 264, 2652, 476, 274, 912, 1038, 1820, 2891, 14818, 476, 273, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 273, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 18091, 1029, 7055, 825, 952, 535, 18743, 2652, 31530, 7999, 291, 5315, 20719, 257, 320, 9899, 476, 271, 267, 834, 321, 9899, 476, 272, 267, 834, 322, 9899, 476, 273, 348, 2187, 1038, 1820, 2891, 14818, 476, 274, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 274, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 3438, 1029, 7055, 825, 1003, 815, 476, 271, 454, 825, 759, 815, 6936, 454, 825, 585, 1883, 538, 535, 18743, 912, 1038, 952, 535, 18743, 314, 4486, 316, 11203, 1003, 912, 2018, 759, 815, 8771, 454, 1038, 1003, 6834, 476, 272, 454, 825, 952, 759, 912, 1038, 1820, 2891, 14818, 476, 275, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 275, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 935, 13935, 1029, 7055, 825, 952, 834, 322, 257, 538, 535, 18743, 912, 1038, 1820, 2891, 14818, 476, 276, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 276, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 516, 1440, 1029, 7055, 825, 952, 1193, 6600, 18743, 264, 2652, 834, 293, 549, 7999, 291, 5315, 20719, 262, 320, 9166, 476, 271, 267, 1412, 321, 9166, 476, 272, 267, 1412, 322, 9166, 476, 273, 16585, 13426, 1038, 1820, 2891, 14818, 476, 277, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 277, 8959, 15419, 825, 1948, 13281, 9059, 1505, 21507, 327, 1662, 1029, 7055, 825, 952, 19474, 6600, 18743, 2187, 1038, 2834, 18380, 815, 2715, 325, 18743, 281, 476, 272, 267, 476, 273, 281, 476, 274, 8679, 1038, 952, 2834, 18380, 912, 2018, 1820, 2891, 14818, 476, 278, 5293, 5602, 825, 3116, 912, 1038, 1820, 2891, 14818, 476, 278, 8959, 257, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]