Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 9223, 281, 5221, 15117, 1185, 13888, 10549, 267, 715, 7614, 773, 6035, 547, 18552, 1200, 799, 1500, 9041, 1745, 1454, 1732, 9308, 563, 271, 269, 15117, 454, 272, 269, 715, 7614, 773, 454, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 16977, 7533, 1210, 1379, 3126, 692, 1892, 4924, 476, 276, 628, 476, 1220, 280, 267, 476, 1321, 281, 2918, 6751, 454, 337, 9492, 24546, 454, 13627, 1493, 7533, 1210, 1379, 3126, 454, 271, 703, 476, 271, 269, 273, 692, 272, 14370, 272, 21147, 317, 276, 264, 15848, 692, 928, 539, 547, 946, 1379, 3126, 547, 16977, 519, 2822, 622, 7533, 780, 628, 1678, 9767, 585, 948, 593, 713, 835, 2336, 1892, 4924, 476, 276, 628, 476, 1220, 280, 267, 476, 6734, 281, 6246, 6751, 454, 297, 6856, 454, 32621, 1384, 23192, 17397, 676, 678, 9492, 24546, 454, 271, 703, 476, 271, 269, 273, 692, 272, 14370, 272, 21147, 317, 276, 264, 15848, 692, 928, 539, 547, 946, 1379, 3126, 547, 16977, 519, 2822, 622, 7533, 780, 628, 1678, 9767, 585, 948, 593, 713, 835, 2439, 5804, 519, 12166, 1379, 3126, 692, 7445, 2765, 346, 272, 2410, 272, 21147, 348, 815, 476, 272, 910, 1535, 1341, 1535, 317, 273, 910, 1535, 317, 274, 1341, 910, 1422, 26984, 6911, 7445, 2765, 346, 272, 2410, 272, 21147, 317, 276, 348, 815, 476, 272, 910, 1535, 317, 276, 1341, 1535, 3867, 1015, 348, 910, 1535, 3867, 1428, 348, 1341, 910, 1422, 26984, 6911, 810, 692, 7445, 842, 318, 271, 3867, 271, 269, 273, 4153, 2765, 346, 272, 2410, 272, 21147, 317, 276, 4153, 267, 15848, 815, 1422, 842, 318, 271, 3867, 271, 269, 273, 348, 476, 272, 910, 1535, 317, 276, 1341, 1535, 3867, 1015, 348, 910, 1535, 3867, 1428, 348, 1341, 910, 1422, 26984, 22773, 15848, 6911, 663, 11753, 2165, 8386, 3856, 630, 9767, 4465, 1405, 991, 513, 2603, 540, 2474, 547, 1205, 513, 2731, 4977, 2626, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 267, 594, 4862, 596, 4312, 1044, 2348, 930, 8373, 12008, 25015, 269, 5620, 596, 6836, 3206, 827, 6126, 4555, 1354, 2469, 547, 5127, 2496, 7692, 281, 23010, 267, 594, 6836, 267, 855, 621, 3085, 1405, 3100, 547, 960, 269, 594, 1869, 723, 3781, 2742, 637, 780, 8334, 281, 13957, 2742, 637, 666, 581, 17559, 267, 855, 3006, 789, 616, 1175, 707, 2634, 4393, 4664, 610, 19048, 269, 9320, 596, 1223, 2119, 1945, 1114, 267, 899, 1565, 827, 7067, 998, 9909, 780, 7692, 281, 23046, 998, 9909, 286, 1548, 781, 602, 2496, 8334, 281, 898, 781, 513, 1259, 547, 946, 707, 9909, 547, 948, 596, 1745, 1732, 269, 1280, 1383, 267, 952, 596, 1185, 513, 3983, 1554, 693, 1153, 267, 596, 1522, 5326, 827, 621, 693, 3781, 269, 1635, 1620, 1018, 5949, 1282, 519, 1554, 543, 1946, 267, 596, 666, 1451, 689, 621, 543, 1577, 979, 540, 1022, 2942, 4606, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 267, 621, 781, 2186, 540, 899, 1966, 9010, 538, 1250, 3207, 2496, 8334, 281, 22549, 256, 1656, 621, 781, 711, 1152, 585, 3214, 269, 4634, 6738, 13522, 666, 4324, 689, 713, 4480, 269, 14348, 596, 899, 803, 547, 2995, 596, 811, 827, 621, 2496, 7692, 281, 8786, 267, 5225, 256, 2334, 4992, 4277, 780, 8334, 281, 4279, 256, 2913, 781, 2161, 596, 1185, 513, 4339, 609, 707, 1655, 3659, 267, 16092, 269, 1411, 1522, 5326, 827, 6158, 547, 16092, 543, 20547, 519, 3390, 269, 1879, 596, 12687, 909, 267, 596, 666, 1589, 827, 1018, 5949, 538, 519, 5326, 543, 1265, 2081, 547, 1118, 1919, 1318, 538, 1483, 1272, 780, 7692, 281, 1809, 1018, 952, 594, 1810, 1405, 3314, 1250, 9909, 2496, 8334, 281, 2334, 781, 15502, 269, 3807, 1491, 513, 4090, 950, 596, 12687, 909, 547, 1589, 827, 875, 596, 5433, 1282, 519, 3781, 269, 21518, 596, 18901, 267, 8909, 267, 610, 14220, 286, 3973, 267, 2119, 547, 1921, 1346, 4606, 547, 1945, 602, 5949, 1282, 519, 1554, 269, 4495, 596, 4137, 856, 519, 2014, 267, 596, 666, 1376, 4466, 3435, 780, 7692, 281, 594, 1589, 594, 1174, 1631, 269, 8729, 267, 7705, 256, 901, 4667, 899, 513, 1434, 1259, 547, 4308, 609, 2042, 543, 2087, 1250, 3207, 780, 8334, 281, 1411, 2811, 10950, 267, 7585, 256, 5457, 267, 938, 8186, 543, 4703, 616, 4448, 267, 543, 2921, 1416, 540, 1312, 568, 1898, 269, 4635, 707, 9909, 547, 12115, 666, 581, 513, 3532, 1907, 585, 1582, 21553, 2889, 22777, 543, 2123, 2208, 269, 6153, 9939, 267, 543, 1810, 1405, 19292, 547, 2307, 803, 952, 596, 991, 811, 5583, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 573, 5984, 543, 26778, 723, 2899, 1586, 3177, 606, 17170, 3028, 693, 513, 20476, 664, 3902, 256, 3733, 1034, 2487, 1433, 568, 513, 28489, 4320, 799, 789, 30149, 538, 1820, 543, 19545, 8747, 269, 5637, 941, 2944, 16950, 8393, 543, 3533, 269, 594, 666, 1406, 24050, 2614, 17192, 593, 891, 1004, 267, 543, 594, 6557, 513, 1360, 4584, 344, 5856, 269, 594, 1175, 6999, 602, 1169, 2754, 1131, 1683, 971, 8748, 267, 3461, 267, 1330, 974, 748, 3318, 3028, 269, 7490, 946, 873, 609, 2347, 6015, 538, 741, 2702, 547, 1205, 519, 2816, 2944, 9985, 267, 593, 942, 543, 593, 6578, 269, 594, 26924, 596, 602, 596, 3580, 581, 607, 13854, 607, 594, 993, 563, 12041, 540, 1215, 547, 17292, 519, 17828, 16362, 454, 1607, 568, 519, 1101, 942, 602, 594, 21534, 513, 2754, 547, 798, 1250, 9703, 11768, 267, 543, 594, 6557, 865, 19914, 594, 1705, 267, 543, 4682, 609, 19545, 335, 1504, 256, 1358, 941, 3318, 543, 5363, 1169, 1900, 540, 519, 1259, 267, 543, 2141, 2656, 547, 4431, 547, 1250, 15737, 269, 1358, 1705, 513, 4190, 2816, 593, 1250, 3209, 267, 1306, 1127, 585, 5261, 267, 543, 4682, 1657, 543, 3564, 538, 741, 3028, 269, 594, 3810, 4363, 1210, 741, 2533, 267, 543, 1413, 4464, 547, 2324, 609, 873, 593, 1250, 1985, 536, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3891, 2718, 3414, 14134, 338, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 14134, 338, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9352, 318, 14142, 5416, 267, 11133, 2187, 825, 1295, 815, 271, 454, 825, 3193, 815, 7003, 5416, 994, 825, 1247, 263, 2381, 10922, 3193, 2187, 1038, 4571, 815, 703, 9230, 2381, 1341, 3193, 8358, 273, 994, 1038, 952, 5416, 314, 13232, 316, 2652, 1003, 2187, 2018, 2132, 4571, 454, 1038, 8640, 5416, 314, 13232, 316, 285, 11133, 2187, 2018, 3193, 284, 13232, 268, 272, 454, 1038, 3116, 912, 2018, 1295, 284, 13232, 266, 272, 454, 825, 2132, 910, 272, 692, 320, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 1605, 609, 2230, 694, 704, 566, 2433, 834, 1040, 29328, 14061, 20889, 3890, 4917, 11133, 815, 703, 9272, 2891, 11767, 519, 1605, 547, 581, 1336, 2433, 834, 11723, 2745, 2891, 6524, 281, 14307, 320, 994, 320, 31699, 4590, 2745, 2891, 5475, 2433, 14307, 320, 2020, 14310, 815, 9352, 318, 14142, 5416, 267, 11133, 994, 604, 1267, 2652, 268, 272, 912, 825, 1820, 2891, 763, 3693, 568, 711, 1336, 538, 519, 5044, 2433, 19515, 12828, 912, 825, 1820, 2891, 763, 1605, 538, 1336, 538, 519, 5044, 693, 4994, 2990, 2433, 14307, 14310, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 519, 4644, 540, 519, 9219, 538, 834, 763, 16549, 4302, 540, 519, 4414, 12280, 257, 888, 763, 17254, 4842, 552, 2548, 344, 9219, 593, 519, 7262, 3774, 540, 519, 18749, 12068, 3090, 1227, 4564, 519, 12491, 527, 1464, 540, 2669, 543, 5713, 607, 513, 3586, 12576, 547, 519, 11240, 619, 602, 789, 723, 513, 3908, 942, 593, 3618, 269, 634, 9219, 568, 4481, 4092, 538, 519, 4158, 267, 1973, 268, 1042, 18749, 12068, 267, 799, 3090, 1227, 4564, 2669, 269, 2060, 1142, 5230, 267, 27865, 517, 748, 804, 836, 267, 519, 11240, 619, 695, 644, 1457, 538, 4250, 267, 3247, 15472, 267, 543, 616, 18056, 540, 741, 9019, 269, 634, 522, 2381, 748, 669, 1307, 2481, 704, 519, 7099, 540, 519, 5428, 267, 543, 519, 8743, 532, 9219, 4564, 519, 23644, 2470, 540, 1272, 563, 2026, 13584, 18370, 704, 334, 543, 1010, 14538, 3801, 547, 856, 342, 527, 12280, 676, 694, 6984, 2933, 3330, 519, 705, 21161, 267, 519, 552, 2548, 344, 9219, 16111, 19595, 873, 602, 789, 786, 5555, 2743, 741, 27757, 269, 2311, 519, 1439, 540, 519, 1650, 267, 519, 1268, 2305, 540, 519, 4414, 12280, 21128, 693, 519, 8482, 540, 28813, 543, 13584, 18370, 704, 334, 10523, 538, 4395, 540, 519, 2062, 321, 5317, 552, 2548, 344, 9219, 563, 13765, 10088, 1386, 676, 552, 24687, 32000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2979, 692, 258, 562, 272, 9704, 267, 562, 273, 9704, 267, 562, 272, 265, 333, 273, 9704, 454, 258, 562, 272, 265, 333, 273, 786, 723, 2901, 562, 272, 266, 333, 273, 610, 562, 272, 266, 333, 273, 268, 272, 9704, 454, 258, 15475, 562, 272, 814, 513, 9704, 543, 562, 273, 814, 536, 9704, 454, 258, 1295, 568, 476, 1015, 22677, 320, 268, 272, 264, 2608, 476, 1015, 22677, 321, 268, 272, 264, 815, 476, 1015, 22677, 320, 17070, 268, 273, 264, 814, 513, 17070, 268, 272, 9704, 454, 258, 3193, 568, 630, 1015, 317, 320, 268, 272, 264, 2608, 630, 1015, 317, 321, 268, 272, 264, 2999, 476, 1015, 22677, 320, 17070, 264, 814, 513, 17070, 9704, 454, 258, 7399, 585, 9704, 538, 630, 333, 272, 19885, 273, 19885, 272, 265, 333, 273, 264, 616, 454, 258, 630, 272, 267, 275, 267, 275, 1070, 630, 275, 267, 272, 267, 275, 1070, 630, 273, 267, 476, 274, 267, 476, 275, 1070, 630, 274, 267, 476, 273, 267, 476, 275, 264, 2094, 454, 258, 476, 275, 23444, 275, 610, 476, 274, 264, 18085, 581, 476, 280, 267, 476, 276, 23444, 276, 610, 476, 275, 264, 666, 581, 476, 280, 267, 476, 277, 23444, 277, 610, 476, 276, 264, 18085, 581, 476, 280, 454, 258, 562, 272, 19885, 273, 1590, 723, 476, 276, 9704, 1927, 692, 258, 513, 267, 536, 267, 524, 5916, 1590, 723, 1142, 7857, 476, 272, 268, 280, 2899, 454, 3698, 814, 318, 718, 5091, 580, 1080, 5416, 267, 536, 267, 524, 2187, 825, 2132, 1412, 11277, 27174, 4281, 280, 262, 2652, 1412, 8339, 21860, 4433, 9285, 19304, 5416, 11924, 1598, 6357, 11924, 1598, 6262, 4297, 2020, 258, 1505, 476, 272, 267, 585, 2009, 2472, 267, 1265, 2188, 454, 20135, 815, 476, 271, 454, 1721, 533, 538, 2039, 263, 1911, 271, 267, 476, 1911, 876, 2567, 1948, 1587, 1590, 581, 476, 275, 9704, 454, 825, 1336, 7272, 663, 580, 1388, 815, 8771, 454, 825, 585, 535, 538, 2039, 263, 273, 267, 703, 263, 4118, 28460, 9638, 4297, 266, 272, 2567, 1948, 1265, 513, 3815, 454, 1038, 1948, 711, 513, 3815, 610, 513, 5774, 580, 1388, 729, 1336, 585, 713, 1587, 620, 1042, 599, 454, 1038, 952, 533, 4939, 535, 11203, 476, 271, 610, 1336, 7272, 663, 580, 1388, 281, 3136, 454, 1038, 952, 814, 318, 718, 5091, 580, 1080, 6600, 267, 533, 2260, 325, 267, 533, 2187, 2018, 2698, 6834, 533, 454, 2018, 1336, 7272, 663, 580, 1388, 815, 6936, 1948, 21645, 1293, 2472, 811, 982, 2899, 454, 2018, 1820, 3488, 281, 3299, 535, 267, 24003, 3299, 533, 2260, 325, 267, 1412, 284, 3299, 533, 994, 2745, 6025, 4973, 2020, 258, 1505, 476, 273, 267, 1711, 2472, 689, 8520, 532, 593, 2188, 454, 258, 2789, 3815, 8424, 949, 5352, 1482, 1587, 865, 946, 513, 1305, 547, 2327, 2189, 454, 2889, 1091, 815, 1305, 3890, 1948, 4558, 2189, 2472, 538, 513, 1305, 454, 258, 535, 272, 267, 325, 273, 1590, 723, 476, 272, 267, 275, 610, 476, 273, 267, 274, 9704, 630, 5408, 1657, 994, 1721, 535, 272, 538, 2039, 263, 273, 267, 476, 1911, 2187, 825, 585, 535, 273, 538, 2039, 6600, 272, 266, 272, 267, 476, 1911, 876, 2260, 325, 272, 1341, 476, 272, 2187, 1038, 952, 814, 318, 718, 5091, 580, 1080, 6600, 272, 267, 535, 273, 267, 535, 272, 265, 325, 273, 2187, 2018, 605, 1091, 14491, 6600, 272, 265, 325, 273, 994, 2018, 1820, 3488, 281, 1336, 1587, 3299, 535, 272, 265, 325, 273, 994, 2745, 4433, 636, 263, 2889, 1091, 11723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 335, 612, 334, 553, 815, 703, 9272, 15405, 4289, 320, 7272, 6974, 525, 815, 11713, 4289, 320, 7272, 612, 334, 553, 815, 11713, 1721, 1775, 538, 2039, 9638, 612, 334, 553, 2187, 825, 1535, 815, 1592, 9852, 777, 19304, 267, 3403, 14061, 20889, 3890, 4917, 825, 30458, 7272, 612, 334, 553, 6910, 3287, 314, 271, 7481, 825, 30458, 7272, 6974, 525, 6910, 3287, 314, 272, 281, 20285, 6112, 6936, 912, 825, 2119, 912, 1038, 533, 612, 10394, 267, 1459, 324, 815, 4786, 19304, 267, 3403, 14061, 20889, 15405, 1038, 4994, 815, 30458, 7272, 612, 334, 553, 28827, 9638, 612, 10394, 994, 1038, 952, 1459, 324, 538, 30458, 7272, 6974, 525, 27709, 14158, 2018, 1820, 3488, 308, 327, 592, 256, 1530, 340, 993, 15282, 9658, 1729, 642, 2967, 740, 528, 541, 522, 270, 5073, 1038, 3116, 912, 2018, 1820, 3488, 307, 25366, 8734, 3512, 324, 256, 5073, 825, 4849, 661, 29996, 13286, 912, 11434, 2736, 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 ]
[ 0, 7804, 3739, 20553, 519, 3778, 540, 570, 4209, 654, 768, 338, 454, 1607, 568, 513, 2022, 827, 21431, 9475, 269, 3502, 519, 6323, 2186, 267, 855, 519, 2186, 606, 7164, 23246, 19252, 883, 519, 13740, 540, 8093, 3045, 601, 1749, 563, 2690, 519, 1034, 851, 267, 17494, 941, 711, 519, 1655, 10457, 585, 7127, 883, 519, 8093, 2594, 269, 3509, 941, 1175, 1932, 2481, 333, 2695, 880, 344, 269, 6270, 2571, 29068, 1185, 547, 581, 12617, 538, 6381, 540, 1164, 1922, 23474, 11091, 547, 8093, 1125, 269, 8616, 972, 616, 930, 1271, 17756, 269, 2368, 17494, 11303, 2933, 609, 811, 14463, 2182, 2694, 799, 11542, 513, 1732, 4960, 540, 17005, 538, 6149, 269, 634, 6186, 1819, 2577, 320, 518, 573, 17494, 540, 519, 19232, 32223, 616, 835, 1383, 267, 855, 12779, 2632, 5505, 849, 917, 513, 3787, 827, 8546, 1673, 16946, 17494, 7064, 547, 519, 5321, 930, 22300, 4874, 15939, 26347, 2451, 3297, 269, 1656, 267, 607, 3173, 808, 867, 328, 9410, 749, 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 ]
[ 0, 258, 4208, 606, 3169, 13902, 3196, 693, 835, 1439, 540, 513, 14461, 11425, 2014, 6037, 2218, 5163, 2496, 2793, 21254, 295, 308, 9826, 454, 3963, 1281, 513, 3196, 4294, 4010, 13902, 547, 835, 1439, 540, 513, 14461, 11425, 3132, 6037, 2218, 5163, 2059, 609, 24364, 5163, 827, 4099, 540, 2527, 888, 296, 917, 519, 6128, 674, 284, 332, 263, 22487, 540, 2527, 12684, 320, 855, 594, 1616, 513, 7344, 2626, 563, 296, 1589, 7421, 519, 1739, 2219, 4603, 786, 581, 540, 930, 948, 1498, 1775, 1810, 1405, 454, 3104, 875, 547, 8399, 609, 621, 563, 13706, 1079, 20085, 536, 10849, 7923, 547, 1079, 7475, 540, 606, 13412, 5569, 15301, 3419, 573, 11425, 607, 513, 12145, 2013, 540, 22786, 994, 2691, 606, 3169, 13902, 3196, 568, 4294, 693, 835, 27342, 519, 27342, 786, 17108, 543, 1847, 2059, 513, 2786, 1899, 1247, 519, 824, 27342, 3788, 693, 1964, 269, 3767, 1813, 547, 606, 2333, 538, 3259, 454, 1993, 519, 5569, 513, 8082, 786, 581, 2919, 543, 786, 7485, 1312, 519, 536, 10849, 4724, 922, 4099, 540, 2527, 563, 296, 1810, 1405, 917, 875, 547, 8399, 609, 621, 543, 666, 1405, 1294, 1946, 519, 10047, 568, 827, 4099, 540, 2527, 780, 300, 550, 528, 692, 3963, 798, 596, 1589, 621, 1058, 711, 3132, 6037, 2218, 5163, 286, 1411, 7903, 519, 11425, 538, 835, 4287, 269, 2991, 707, 7903, 267, 835, 1439, 7575, 267, 519, 824, 1281, 711, 267, 865, 519, 4099, 540, 2527, 7575, 267, 1932, 780, 4754, 1405, 1294, 1946, 519, 10047, 568, 827, 4099, 540, 2527, 454, 10303, 596, 991, 513, 1298, 686, 7065, 531, 3196, 585, 9764, 5163, 269, 2311, 519, 4099, 540, 2527, 519, 1298, 686, 7065, 531, 24293, 4229, 540, 1312, 5011, 3666, 780, 2793, 21254, 295, 308, 9826, 692, 12552, 855, 5225, 2015, 7421, 519, 2219, 4603, 594, 723, 5018, 780, 300, 550, 528, 692, 1432, 568, 865, 2027, 827, 602, 4603, 286, 1411, 786, 1205, 8144, 267, 10047, 543, 14251, 566, 540, 519, 5569, 3259, 693, 519, 1482, 942, 630, 817, 11167, 621, 814, 13496, 4229, 607, 1134, 6393, 2252, 519, 5569, 1281, 711, 2285, 1022, 3196, 2630, 513, 1978, 3259, 267, 707, 3615, 786, 2097, 6251, 267, 855, 4413, 1142, 824, 2394, 789, 8831, 519, 5569, 1586, 267, 543, 519, 2898, 3364, 28197, 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 ]
[ 0, 301, 16197, 582, 728, 4032, 538, 8210, 331, 836, 454, 11693, 513, 5027, 5569, 267, 12337, 875, 1082, 2053, 1142, 30859, 4386, 538, 519, 5569, 563, 1410, 2075, 1143, 30321, 2144, 331, 836, 30859, 28029, 454, 11693, 513, 2582, 18843, 539, 5027, 5569, 267, 12337, 875, 1082, 2053, 1142, 30859, 4386, 538, 519, 5569, 563, 763, 4719, 1893, 540, 1169, 2713, 3364, 593, 519, 4541, 568, 5027, 269, 5027, 568, 513, 1804, 11140, 602, 568, 3710, 689, 606, 5393, 1279, 5311, 540, 1367, 2609, 1572, 22951, 1938, 269, 476, 275, 2010, 2291, 538, 5027, 543, 891, 8428, 1152, 5594, 543, 666, 581, 6719, 607, 519, 1739, 6698, 281, 1412, 288, 262, 585, 20722, 710, 267, 1412, 290, 262, 585, 11118, 27343, 267, 1412, 294, 262, 585, 1368, 29516, 267, 543, 1412, 307, 262, 555, 2096, 710, 563, 2080, 568, 606, 21658, 912, 268, 1000, 12127, 616, 547, 5017, 20097, 607, 454, 268, 22951, 1938, 616, 547, 5027, 607, 454, 268, 1850, 657, 616, 547, 1850, 334, 8075, 607, 454, 268, 1913, 616, 547, 5220, 607, 2483, 1103, 1931, 547, 2196, 519, 4255, 267, 3390, 519, 1739, 4971, 689, 519, 3635, 15682, 912, 2690, 4881, 519, 4255, 3177, 2676, 516, 8663, 274, 568, 1031, 607, 621, 568, 519, 4013, 1628, 543, 454, 323, 2570, 1890, 2359, 1907, 585, 2144, 331, 836, 1631, 269, 7490, 3277, 547, 519, 13475, 10380, 454, 13318, 15297, 593, 875, 547, 798, 602, 563, 1103, 1931, 547, 2196, 519, 4255, 267, 596, 666, 3390, 519, 1739, 4971, 689, 519, 3635, 15682, 563, 259, 6450, 541, 274, 552, 22780, 454, 10376, 1966, 11225, 513, 12550, 454, 307, 12239, 318, 309, 8991, 12778, 538, 519, 1449, 3758, 543, 454, 591, 5809, 602, 519, 3070, 11225, 543, 18666, 513, 1599, 454, 4958, 9506, 602, 1482, 1871, 563, 2414, 1118, 4255, 1780, 267, 1039, 519, 1739, 547, 707, 3070, 912, 763, 4324, 540, 713, 568, 602, 2689, 619, 666, 1294, 1996, 799, 1449, 4528, 606, 21767, 729, 2854, 952, 267, 585, 1383, 267, 513, 5892, 11540, 3070, 1281, 711, 4194, 519, 1699, 1966, 610, 10596, 1699, 4255, 563, 2690, 2143, 1344, 827, 519, 8210, 331, 836, 3950, 267, 5225, 3277, 547, 519, 948, 2985, 593, 519, 18130, 1143, 3135, 269, 901, 6227, 519, 2596, 1344, 593, 4259, 909, 519, 1646, 1604, 4397, 676, 519, 5751, 563, 763, 29626, 5027, 715, 16197, 582, 1938, 318, 2889, 12378, 693, 14472, 531, 785, 5291, 2517, 4592, 531, 785, 29335, 24579, 21793, 7933, 3534, 13045, 8138, 2466, 1154, 769, 14814, 10298, 454, 2005, 781, 2009, 547, 10505, 606, 18106, 3070, 865, 596, 666, 1294, 875, 1866, 723, 6192, 519, 3635, 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 ]
[ 0, 291, 10005, 5288, 269, 23723, 320, 2433, 6370, 540, 519, 15831, 525, 1315, 676, 10370, 29953, 700, 4157, 573, 529, 563, 2005, 781, 513, 6370, 540, 519, 25433, 8957, 519, 24116, 256, 4936, 15831, 667, 10005, 12081, 338, 936, 2470, 267, 12680, 267, 27638, 267, 543, 519, 10465, 1063, 3047, 543, 519, 896, 16447, 269, 634, 5259, 15831, 23723, 320, 568, 1634, 585, 1200, 7326, 543, 10100, 538, 6370, 269, 1403, 891, 1079, 15831, 525, 941, 547, 979, 2212, 3562, 268, 3650, 267, 945, 1131, 2097, 856, 593, 1283, 286, 14424, 543, 4334, 667, 10005, 781, 543, 23723, 320, 781, 9342, 543, 12755, 538, 713, 19088, 1108, 26969, 1575, 4534, 3038, 3660, 676, 17404, 563, 268, 8447, 13517, 281, 476, 3953, 3817, 2433, 2681, 3879, 571, 687, 6902, 476, 2537, 4699, 563, 268, 21629, 281, 3345, 631, 1678, 6737, 267, 16506, 2433, 7167, 7723, 4964, 267, 606, 29501, 540, 7167, 7723, 267, 3097, 268, 14645, 281, 9736, 1708, 273, 454, 347, 26705, 1540, 12937, 8074, 281, 2008, 15507, 585, 1644, 3688, 676, 1641, 454, 347, 20428, 10573, 291, 10005, 630, 31718, 25976, 264, 3436, 19565, 3332, 563, 4263, 1156, 320, 630, 31528, 25976, 264, 3436, 19565, 3332, 563, 18661, 12549, 525, 3436, 19565, 3332, 563, 300, 2814, 1108, 267, 4936, 3436, 19565, 3332, 563, 300, 2814, 1108, 267, 5259, 3436, 19565, 3332, 563, 15507, 585, 1644, 3688, 676, 3126, 454, 268, 476, 271, 540, 476, 272, 5299, 2139, 693, 3117, 24832, 540, 11882, 23905, 269, 630, 17004, 994, 268, 476, 271, 540, 476, 272, 5299, 2139, 693, 8895, 542, 7732, 563, 268, 476, 271, 1699, 6585, 609, 476, 272, 2698, 5299, 563, 17004, 8307, 12232, 10515, 625, 454, 347, 19613, 1475, 24445, 7089, 1315, 25767, 11872, 1475, 289, 2117, 1712, 1475, 306, 3559, 1324, 19715, 1475, 1805, 9850, 1475, 18814, 11261, 2008, 347, 29727, 542, 7732, 1475, 329, 29580, 269, 21076, 275, 700, 20084, 296, 630, 17806, 10534, 3374, 280, 13078, 4962, 278, 280, 1626, 8660, 1475, 6124, 19565, 6348, 6363, 2109, 1475, 13425, 539, 856, 1475, 6734, 270, 2767, 270, 1708, 274, 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 ]
[ 0, 12163, 30317, 14756, 482, 912, 30317, 14756, 482, 7511, 12916, 379, 17958, 4970, 492, 28578, 23989, 25203, 372, 25263, 376, 267, 476, 21251, 12571, 490, 18263, 489, 14035, 482, 21928, 30678, 30317, 14756, 482, 15159, 21251, 23746, 32517, 362, 418, 498, 373, 7511, 267, 476, 22047, 30317, 14756, 482, 13601, 20721, 355, 27936, 18263, 487, 29072, 267, 13127, 364, 365, 21251, 23746, 32517, 362, 418, 498, 373, 29072, 263, 21251, 23746, 418, 371, 375, 20693, 510, 18998, 10254, 510, 30522, 353, 30317, 27381, 510, 419, 511, 487, 1070, 476, 9463, 359, 420, 25693, 421, 479, 491, 31308, 484, 270, 18777, 379, 25426, 362, 3248, 30317, 14756, 482, 12916, 379, 17958, 17295, 484, 418, 489, 361, 9463, 371, 267, 476, 26033, 490, 28578, 23989, 12916, 379, 17958, 25913, 418, 489, 361, 9463, 371, 3248, 20721, 351, 419, 482, 370, 30317, 14756, 482, 21251, 420, 25693, 14035, 509, 32517, 362, 418, 498, 373, 267, 28859, 480, 352, 18263, 486, 14395, 481, 11858, 502, 21928, 7511, 418, 482, 493, 18263, 487, 21928, 417, 497, 359, 417, 495, 351, 912, 272, 269, 476, 30317, 14756, 482, 21928, 21211, 10429, 372, 18809, 23746, 23284, 25051, 497, 417, 479, 504, 4486, 23521, 354, 12916, 379, 17958, 267, 476, 26033, 490, 28578, 23989, 15159, 21251, 23746, 23284, 7511, 3248, 273, 269, 13127, 506, 357, 16583, 30936, 18809, 267, 476, 20069, 28793, 22390, 503, 28884, 13213, 498, 18713, 508, 14035, 504, 14748, 29219, 267, 476, 13601, 420, 486, 361, 16533, 365, 19404, 485, 17958, 30317, 14756, 482, 7511, 25913, 19764, 493, 3248, 274, 269, 13127, 506, 357, 13601, 11590, 505, 21251, 27747, 490, 10951, 505, 17958, 16043, 371, 32517, 362, 418, 498, 373, 12255, 29004, 362, 7511, 17295, 374, 418, 503, 363, 18809, 12916, 379, 17958, 30317, 14756, 482, 28786, 418, 505, 379, 28578, 23989, 3248, 30317, 14756, 482, 7511, 12255, 29004, 362, 32352, 417, 508, 489, 15159, 281, 24042, 454, 20701, 258, 13127, 362, 504, 18263, 487, 30317, 14756, 482, 281, 476, 12916, 379, 17958, 20881, 501, 9463, 371, 7511, 25913, 19764, 493, 454, 2745, 2891, 27936, 18263, 487, 30317, 14756, 482, 281, 476, 12916, 379, 17958, 20881, 501, 9463, 371, 7511, 25913, 19764, 493, 5602, 14654, 921, 272, 815, 476, 272, 267, 476, 273, 267, 476, 274, 454, 2745, 6025, 340, 921, 272, 994, 2745, 263, 6943, 6025, 340, 921, 272, 11723, 2745, 2891, 19399, 5992, 2971, 7462, 15419, 258, 13127, 362, 504, 18263, 487, 30317, 14756, 482, 281, 476, 12916, 379, 17958, 17295, 484, 418, 489, 361, 9463, 371, 7511, 25913, 19764, 493, 454, 2745, 2891, 27936, 18263, 487, 30317, 14756, 482, 281, 476, 12916, 379, 17958, 17295, 484, 418, 489, 361, 9463, 371, 7511, 25913, 19764, 493, 5602, 14654, 921, 273, 815, 630, 272, 267, 476, 273, 267, 476, 274, 994, 2745, 6025, 340, 921, 273, 994, 2745, 263, 6943, 6025, 340, 921, 273, 11723, 2745, 2891, 19399, 5992, 2971, 7462, 15419, 258, 13127, 362, 504, 18263, 487, 30317, 14756, 482, 281, 476, 12916, 379, 17958, 14654, 921, 3890, 16583, 30936, 263, 26406, 354, 418, 498, 370, 22047, 28578, 23989, 30853, 20992, 9463, 480, 12255, 994, 2745, 2891, 27936, 18263, 487, 30317, 14756, 482, 281, 476, 12916, 379, 17958, 14654, 921, 3890, 16583, 30936, 263, 26406, 354, 418, 498, 370, 22047, 28578, 23989, 30853, 20992, 9463, 480, 12255, 264, 5602, 4289, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 14654, 921, 274, 815, 24042, 17338, 272, 994, 2745, 6025, 340, 921, 274, 994, 2745, 263, 6943, 6025, 340, 921, 274, 11723, 2745, 2891, 19399, 5992, 2971, 7462, 15419, 258, 13127, 362, 504, 18263, 487, 9463, 359, 20069, 22047, 30317, 27381, 510, 7511, 30317, 14756, 482, 454, 2745, 2891, 27936, 18263, 487, 9463, 359, 20069, 22047, 30317, 27381, 510, 7511, 30317, 14756, 482, 5602, 320, 307, 340, 921, 815, 1412, 320, 3299, 476, 1948, 13127, 379, 483, 421, 350, 375, 28884, 20693, 510, 20881, 501, 9463, 371, 454, 2745, 5416, 307, 340, 921, 994, 2745, 263, 6943, 5416, 307, 340, 921, 4917, 321, 307, 340, 921, 815, 18011, 321, 3299, 264, 476, 1948, 13127, 379, 483, 421, 350, 375, 28884, 20693, 510, 20881, 501, 9463, 371, 454, 2745, 6357, 307, 340, 921, 994, 2745, 263, 6943, 6357, 307, 340, 921, 11723, 2745, 2891, 19399, 5992, 2971, 7462, 15419, 258, 476, 4970, 492, 28578, 23989, 13601, 21550, 371, 267, 476, 22047, 30317, 14756, 482, 18809, 18263, 509, 23746, 23284, 25060, 483, 12571, 360, 14035, 504, 26175, 491, 32352, 417, 508, 489, 7511, 12255, 29004, 362, 454, 14654, 921, 275, 815, 630, 272, 267, 1412, 320, 3299, 6936, 994, 2745, 6025, 340, 921, 275, 994, 14654, 921, 276, 815, 630, 272, 267, 18358, 320, 3299, 1412, 321, 28710, 630, 273, 267, 1412, 322, 3299, 476, 276, 269, 276, 4297, 476, 1948, 13127, 369, 490, 417, 354, 501, 454, 2745, 6025, 340, 921, 276, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 322, 629, 12237, 8105, 538, 32650, 5984, 454, 8310, 8242, 593, 4873, 476, 280, 628, 267, 476, 1708, 274, 693, 476, 6021, 281, 866, 10681, 454, 290, 13741, 1137, 616, 835, 540, 519, 1034, 3730, 5388, 538, 15057, 563, 5445, 616, 1360, 2442, 543, 538, 1164, 3747, 538, 519, 2199, 2344, 563, 29670, 2175, 585, 3395, 22648, 454, 268, 14606, 3638, 538, 5214, 2339, 267, 609, 513, 9063, 540, 476, 277, 269, 271, 547, 476, 277, 269, 276, 563, 268, 4826, 568, 1134, 7856, 267, 827, 476, 4335, 6515, 829, 1032, 563, 268, 27551, 1063, 476, 10384, 543, 476, 13136, 271, 7397, 1657, 4262, 1377, 563, 268, 634, 2837, 568, 1472, 476, 1626, 268, 736, 5232, 17622, 563, 303, 1886, 698, 566, 543, 9544, 540, 16410, 12237, 454, 290, 629, 12237, 9070, 919, 689, 5452, 563, 763, 5452, 666, 581, 521, 1144, 2047, 610, 12630, 538, 519, 21543, 563, 2690, 513, 1434, 1376, 267, 694, 5338, 568, 9415, 269, 898, 568, 19624, 547, 13003, 519, 19155, 950, 789, 3914, 476, 1015, 268, 1321, 4699, 538, 4463, 269, 901, 568, 1310, 2185, 547, 3670, 4374, 563, 763, 5227, 19437, 585, 9544, 568, 476, 2568, 4699, 543, 476, 2568, 4699, 585, 1804, 2212, 8677, 563, 763, 3845, 1063, 1114, 2010, 568, 476, 2568, 9492, 543, 476, 3393, 9492, 267, 585, 1507, 2010, 621, 568, 476, 2412, 9492, 543, 476, 1789, 9492, 563, 293, 23459, 9088, 899, 667, 4338, 630, 4037, 11899, 270, 21492, 264, 543, 12450, 1058, 849, 581, 1031, 585, 7693, 14713, 563, 2171, 5338, 1058, 581, 2944, 2038, 2614, 547, 2057, 6735, 585, 1426, 563, 2171, 2644, 666, 2569, 6079, 2504, 563, 303, 3949, 543, 3676, 454, 1103, 4167, 338, 602, 4323, 9348, 321, 1137, 1331, 30293, 267, 4718, 12187, 543, 14776, 3724, 26615, 563, 291, 1047, 1162, 1331, 3109, 4232, 267, 16507, 5544, 543, 9190, 2571, 4232, 563, 763, 22534, 616, 4712, 547, 7556, 1310, 827, 476, 274, 3275, 563, 19604, 4034, 532, 666, 581, 2944, 607, 4166, 607, 519, 2212, 568, 4646, 563, 2414, 2061, 519, 2212, 540, 22648, 689, 16802, 532, 267, 621, 568, 1655, 547, 7556, 538, 519, 6640, 267, 950, 621, 568, 1869, 3579, 563, 3080, 23505, 540, 2244, 666, 3132, 1063, 476, 1015, 267, 1822, 543, 476, 1428, 267, 1822, 9843, 540, 22648, 563, 290, 629, 12237, 2344, 538, 15057, 454, 2467, 568, 513, 2344, 585, 22648, 538, 15057, 269, 901, 6221, 568, 538, 1164, 3747, 1317, 621, 568, 513, 14312, 10448, 602, 3568, 5567, 971, 607, 4401, 543, 7513, 563, 290, 629, 12237, 568, 1419, 4421, 538, 9205, 6990, 267, 17365, 8637, 267, 2706, 5658, 1115, 2507, 31756, 563, 303, 4631, 4268, 4470, 593, 519, 2450, 540, 519, 2212, 540, 22648, 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 ]
[ 0, 1607, 2027, 3390, 568, 513, 834, 6011, 547, 257, 593, 20408, 519, 1082, 1949, 7400, 2591, 538, 918, 476, 1321, 1857, 2069, 547, 2936, 2500, 2542, 7459, 585, 519, 5318, 2338, 540, 1053, 2542, 2630, 3446, 1377, 563, 1607, 2027, 3390, 568, 513, 834, 6011, 547, 257, 593, 20408, 519, 1082, 1949, 7400, 2591, 538, 918, 476, 1321, 1857, 2069, 547, 2936, 2500, 2542, 7459, 585, 519, 5318, 2338, 540, 1053, 2542, 2630, 3446, 1377, 269, 898, 11363, 2679, 11001, 19995, 12352, 267, 3246, 5571, 3318, 1646, 585, 3610, 267, 543, 9427, 12250, 7496, 547, 1689, 607, 519, 10569, 547, 2500, 2542, 6304, 269, 3955, 6761, 585, 519, 5580, 9344, 1445, 593, 519, 2591, 540, 1071, 1314, 532, 1543, 268, 19327, 3610, 547, 1451, 1007, 13467, 585, 2679, 4282, 1702, 267, 3450, 4081, 6863, 267, 543, 10647, 5717, 547, 6536, 2565, 2542, 543, 1702, 3498, 269, 769, 519, 3119, 9344, 267, 7459, 1246, 513, 3818, 2389, 328, 1229, 1062, 540, 1489, 1141, 8476, 4928, 6044, 568, 6462, 676, 1507, 31228, 6304, 585, 10010, 3988, 269, 634, 4320, 849, 11828, 519, 2956, 540, 2866, 2027, 7855, 547, 2936, 1239, 2861, 13619, 6672, 269, 901, 568, 519, 476, 15150, 628, 4320, 538, 713, 21280, 8124, 5174, 817, 3126, 1715, 19648, 585, 4132, 543, 32183, 4886, 269, 4706, 5692, 568, 547, 1683, 3621, 543, 14046, 14245, 593, 5969, 6316, 2152, 543, 2035, 538, 713, 1641, 1858, 9950, 778, 4320, 6212, 593, 513, 1808, 1007, 4287, 610, 1382, 1888, 543, 568, 12995, 676, 4966, 689, 602, 2361, 563, 295, 6665, 3954, 928, 536, 690, 476, 1731, 651, 2144, 562, 690, 564, 585, 2007, 267, 737, 534, 5918, 1649, 344, 12076, 737, 1538, 528, 1512, 928, 562, 539, 523, 1721, 21266, 693, 1265, 324, 543, 516, 5707, 2401, 269, 28822, 1731, 533, 18033, 679, 737, 1538, 9461, 585, 693, 694, 31429, 29868, 536, 21417, 3455, 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 ]
[ 0, 9223, 281, 834, 763, 9174, 834, 257, 27717, 599, 3269, 12090, 1141, 24350, 12585, 281, 21640, 454, 2704, 328, 1162, 281, 8575, 384, 493, 1513, 14150, 267, 7395, 344, 541, 832, 345, 698, 267, 772, 978, 7568, 267, 7395, 344, 541, 918, 7238, 345, 339, 5451, 3464, 553, 5451, 326, 267, 23826, 6243, 267, 23826, 6243, 540, 476, 2735, 280, 267, 15173, 926, 16660, 267, 12017, 2044, 267, 15339, 540, 21640, 267, 7395, 344, 541, 918, 4141, 345, 339, 1513, 553, 698, 267, 7395, 344, 541, 832, 345, 5451, 326, 267, 22341, 7276, 630, 295, 2426, 776, 1070, 670, 7419, 294, 14473, 267, 12017, 337, 17144, 267, 12017, 2001, 267, 18869, 476, 22332, 277, 268, 272, 281, 295, 308, 267, 15173, 4471, 267, 670, 308, 978, 776, 267, 6243, 540, 21640, 267, 772, 978, 615, 807, 267, 7395, 344, 541, 918, 9926, 339, 1513, 553, 698, 267, 21640, 267, 23826, 14812 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 10828, 540, 2048, 299, 334, 26907, 12541, 685, 2501, 689, 799, 3864, 2197, 888, 12585, 281, 5125, 454, 2704, 328, 1162, 281, 2136, 2276, 540, 5125, 267, 570, 903, 330, 1633, 267, 715, 15501, 6390, 267, 25143, 525, 1372, 28852, 267, 966, 758, 2884, 6359, 320, 267, 1546, 1276, 1633, 267, 2885, 5500, 267, 4436, 312, 267, 21598, 5125, 267, 1325, 28236, 320, 267, 8549, 6243, 540, 5125, 267, 808, 1069, 1415, 267, 717, 10984, 5500, 267, 661, 22029, 540, 5125, 267, 715, 2114, 6390, 267, 5125, 267, 15281, 655, 1097, 267, 717, 2207, 32602, 312, 267, 18869, 476, 22332, 277, 268, 272, 281, 14701, 267, 8092, 3541, 667, 747, 614, 3768, 9324, 12027, 267, 8549, 6243, 2986, 5125, 267, 674, 10611, 269, 5125, 267, 1546, 28852, 1633, 267, 25143, 525, 10517, 28362, 1731, 1546, 28852, 1633, 267, 19836, 1546, 28852, 1633, 267, 4436, 1470, 267, 774, 903, 32039, 663, 267, 15168, 6624, 267, 2885, 523, 344, 267, 1855, 583, 517, 3821, 267, 1546, 8553, 1633, 267, 667, 7057, 1633, 267, 8946, 903, 32039, 663, 267, 22176, 2006, 3873, 267, 715, 384, 505, 916, 6390, 267, 674, 334, 3985, 6243, 540, 5125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4351, 692, 3698, 844, 6506, 677, 263, 6783, 2187, 476, 952, 12759, 263, 6783, 264, 2999, 476, 273, 2187, 825, 2132, 5044, 454, 476, 3116, 912, 825, 22141, 815, 5044, 21014, 263, 1326, 7272, 643, 582, 263, 6783, 4917, 825, 1447, 815, 11713, 825, 3152, 815, 11713, 825, 585, 1535, 538, 5044, 912, 8587, 952, 3287, 10922, 22141, 2187, 1038, 1447, 6910, 3287, 994, 8587, 3116, 912, 1038, 3152, 6910, 3287, 2020, 825, 7117, 338, 677, 318, 1652, 815, 844, 6506, 677, 263, 1652, 994, 825, 7117, 338, 677, 318, 1652, 269, 2169, 754, 8443, 335, 643, 582, 7481, 825, 7117, 338, 677, 318, 1652, 269, 2169, 754, 263, 638, 6506, 677, 14116, 805, 518, 4917, 825, 2132, 7117, 338, 677, 318, 1652, 692, 3698, 1205, 7272, 643, 582, 263, 6783, 2187, 476, 2132, 4351, 20120, 9792, 263, 271, 267, 7003, 263, 6783, 11723, 692, 2745, 844, 6506, 677, 8443, 276, 267, 273, 267, 272, 267, 1321, 267, 274, 267, 276, 267, 8618, 267, 279, 7481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19147, 32473, 513, 264, 30585, 476, 276, 270, 277, 910, 476, 272, 270, 274, 9948, 543, 1496, 273, 270, 274, 910, 476, 277, 25773, 276, 6540, 272, 454, 2421, 590, 3570, 6187, 454, 13433, 454, 758, 454, 15595, 5622, 2807, 340, 3541, 907, 286, 888, 344, 1575, 3257, 454, 330, 330, 692, 1001, 276, 268, 4962, 268, 1691, 307, 2537, 281, 876, 281, 6321, 266, 4962, 281, 1789, 454, 268, 276, 270, 277, 910, 272, 270, 274, 630, 561, 9492, 540, 476, 277, 267, 476, 274, 568, 476, 277, 264, 30336, 30548, 14632, 7545, 30336, 1109, 273, 270, 274, 24179, 277, 25773, 276, 994, 284, 910, 276, 268, 272, 263, 273, 8358, 277, 29894, 29894, 14632, 7545, 815, 476, 1109, 273, 270, 274, 266, 277, 270, 276, 476, 1109, 10857, 9492, 540, 476, 274, 267, 476, 276, 568, 476, 1428, 994, 284, 910, 276, 268, 273, 270, 277, 29894, 29894, 29894, 815, 476, 1109, 273, 263, 276, 11924, 277, 263, 274, 8358, 1428, 454, 284, 910, 278, 270, 277, 29894, 29894, 29894, 30336, 1109, 284, 476, 1015, 266, 1240, 270, 1428, 454, 284, 476, 1109, 2764, 270, 1428, 692, 6533, 2676, 15631, 476, 276, 270, 277, 910, 476, 272, 270, 274, 9948, 1315, 1496, 273, 270, 274, 910, 476, 277, 25773, 276, 316, 815, 30585, 278, 270, 277, 316, 1315, 1496, 2764, 270, 1428, 2639, 284, 910, 278, 270, 277, 1109, 9943, 476, 1428, 270, 2764, 454, 284, 910, 272, 270, 273, 1109, 9943, 476, 276, 270, 275, 454, 284, 476, 1109, 268, 276, 270, 279, 454, 284, 476, 1109, 268, 271, 269, 27698, 454, 11004, 1150, 2676, 15631, 476, 276, 270, 277, 910, 476, 272, 270, 274, 9948, 1315, 1109, 314, 273, 270, 274, 910, 476, 277, 25773, 276, 316, 815, 910, 271, 269, 27698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32495, 1389, 10880, 10393, 693, 1022, 942, 540, 519, 1554, 610, 3781, 267, 855, 972, 781, 1100, 1259, 547, 2995, 873, 269, 1403, 606, 13091, 4523, 267, 621, 949, 2014, 1082, 7972, 543, 7063, 543, 1390, 3441, 269, 32341, 875, 543, 1141, 707, 1920, 786, 1205, 1927, 952, 9674, 269, 7994, 606, 856, 6361, 15581, 3659, 610, 567, 602, 519, 1920, 2818, 666, 1289, 1310, 519, 844, 820, 547, 1867, 1141, 789, 616, 543, 875, 789, 616, 269, 5700, 519, 2922, 1747, 538, 1142, 4055, 281, 896, 519, 2178, 7515, 267, 964, 802, 267, 610, 1996, 3330, 6821, 269, 5901, 2614, 1426, 267, 1216, 543, 824, 1919, 267, 1519, 513, 8755, 2775, 267, 513, 5925, 267, 11955, 543, 7802, 269, 8587, 4438, 519, 13091, 267, 596, 1058, 1832, 513, 2312, 2212, 543, 2760, 581, 1932, 8401, 547, 917, 1018, 547, 798, 269, 13363, 707, 2212, 543, 8405, 609, 707, 7916, 269, 1403, 2009, 267, 1491, 513, 1433, 267, 513, 10788, 578, 610, 1022, 824, 1919, 547, 2149, 3054, 689, 9991, 4837, 543, 21219, 269, 1403, 596, 616, 16280, 267, 596, 1590, 5612, 9114, 896, 1022, 2178, 11647, 269, 1403, 13964, 267, 1847, 547, 606, 1930, 1858, 2476, 689, 4054, 267, 5656, 267, 6821, 543, 1379, 18635, 269, 1403, 596, 616, 538, 513, 7522, 14860, 267, 1847, 547, 519, 8998, 540, 621, 543, 1413, 856, 585, 9991, 10007, 269, 1403, 596, 616, 538, 513, 1286, 267, 1847, 547, 519, 2427, 540, 519, 4155, 543, 3247, 519, 1286, 269, 1684, 711, 3247, 2282, 5656, 267, 1379, 3515, 610, 896, 13123, 269, 13773, 538, 707, 1286, 2394, 519, 24373, 13515, 269, 8587, 1684, 711, 1847, 513, 21354, 13676, 1268, 8259, 646, 568, 538, 1390, 8594, 1310, 519, 13091, 269, 1684, 711, 946, 519, 15146, 5612, 8259, 972, 568, 513, 3978, 5945, 610, 3595, 269, 12414, 593, 707, 5925, 585, 5528, 543, 3377, 1867, 269, 2142, 5423, 585, 1310, 3333, 4169, 269, 1403, 596, 1616, 547, 4734, 707, 1753, 267, 2022, 513, 5048, 3330, 707, 1753, 10213, 1920, 2818, 1141, 596, 666, 581, 1336, 269, 2991, 606, 13091, 267, 596, 1058, 567, 9041, 476, 4586, 271, 269, 1847, 606, 13676, 1268, 3533, 563, 272, 269, 946, 519, 15146, 5612, 454, 273, 269, 2490, 593, 519, 7641, 547, 1205, 519, 3377, 5359, 563, 274, 269, 4734, 513, 18552, 538, 707, 1753, 1354, 596, 4734, 563, 12585, 281, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4338, 307, 6224, 2026, 616, 4255, 1419, 5116, 693, 519, 1439, 540, 2228, 3029, 2966, 547, 2995, 952, 513, 3593, 568, 1480, 269, 1358, 616, 1031, 547, 3986, 3354, 543, 2061, 28417, 610, 7301, 7373, 5928, 269, 2755, 10375, 585, 3896, 7426, 267, 789, 1419, 10460, 606, 791, 523, 25523, 1076, 11064, 585, 1004, 945, 616, 9420, 267, 5075, 15176, 267, 7988, 2716, 545, 610, 723, 513, 5042, 9659, 563, 3722, 290, 3198, 267, 2059, 609, 9012, 7457, 5245, 267, 814, 1044, 5859, 532, 547, 1294, 519, 1439, 540, 26480, 307, 6224, 2026, 2066, 519, 1357, 269, 4595, 4864, 2063, 1032, 267, 513, 21936, 9250, 676, 589, 6717, 3198, 779, 31722, 8316, 9469, 814, 1044, 9896, 676, 476, 274, 267, 279, 2412, 1004, 269, 634, 21936, 1572, 593, 930, 540, 519, 1158, 779, 4102, 3896, 5411, 267, 1519, 5616, 543, 9365, 267, 547, 3247, 1210, 26480, 307, 6224, 2026, 269, 769, 5412, 267, 20052, 14259, 9307, 621, 1131, 581, 943, 2084, 856, 26480, 307, 6224, 2026, 2066, 922, 13539, 563, 2414, 735, 601, 824, 3549, 547, 1246, 20052, 14259, 779, 1291, 267, 589, 6717, 3198, 814, 3177, 513, 4484, 799, 1004, 4299, 676, 26480, 307, 6224, 288, 666, 4647, 267, 2123, 1047, 543, 6494, 269, 898, 14509, 281, 968, 2171, 2125, 2572, 799, 616, 538, 17739, 1043, 1981, 9659, 7130, 20286, 896, 8241, 9086, 269, 7490, 2015, 4657, 519, 3354, 593, 707, 3896, 676, 9427, 519, 538, 17739, 1043, 26480, 307, 6224, 288, 543, 13868, 621, 609, 606, 3015, 4244, 3034, 2252, 596, 6494, 513, 4484, 1577, 721, 917, 593, 12108, 543, 946, 519, 1948, 298, 650, 290, 4338, 307, 6224, 288, 814, 6255, 698, 563, 21430, 4609, 5150, 543, 3015, 454, 2467, 616, 513, 1297, 540, 2081, 3896, 9367, 666, 1118, 3029, 5150, 1510, 8380, 909, 7496, 585, 1004, 609, 9659, 269, 6969, 7598, 513, 26480, 307, 6224, 288, 267, 9367, 1058, 2263, 824, 3681, 971, 607, 9932, 13607, 4255, 269, 1403, 513, 26480, 307, 6224, 288, 568, 2556, 267, 621, 1058, 581, 2944, 538, 519, 1034, 3015, 1259, 269, 26346, 5528, 616, 2139, 538, 938, 26480, 307, 6224, 288, 281, 10333, 585, 9367, 3391, 593, 7457, 1775, 304, 563, 12749, 540, 2985 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4118, 692, 14006, 539, 676, 16317, 6343, 568, 476, 2767, 317, 8987, 272, 270, 273, 21663, 7064, 269, 1775, 1810, 1405, 723, 1250, 9498, 593, 803, 780, 6202, 267, 602, 781, 519, 1482, 607, 476, 272, 14370, 338, 13645, 3597, 540, 476, 2767, 264, 907, 865, 952, 596, 14458, 621, 267, 596, 786, 1439, 909, 609, 476, 272, 14370, 274, 338, 13645, 3597, 540, 476, 274, 6393, 13436, 5999, 692, 272, 269, 2979, 692, 13678, 680, 1518, 910, 4009, 3597, 540, 476, 4366, 343, 317, 274, 344, 317, 273, 2659, 1966, 281, 20734, 4366, 343, 317, 274, 344, 317, 273, 8347, 547, 2736, 621, 1524, 607, 2484, 607, 596, 666, 538, 1931, 547, 14458, 269, 20734, 263, 1626, 2608, 476, 274, 7565, 343, 317, 273, 2608, 1535, 7565, 344, 317, 273, 264, 634, 4009, 3597, 540, 476, 1626, 568, 476, 275, 269, 634, 4009, 3597, 540, 1535, 317, 273, 568, 1535, 269, 634, 4009, 3597, 540, 6693, 273, 269, 2979, 692, 13678, 680, 1518, 4009, 476, 4366, 4882, 13645, 277, 4009, 3597, 263, 4366, 264, 568, 519, 1482, 607, 13483, 3597, 630, 279, 264, 1535, 13483, 3597, 263, 277, 1040, 1924, 267, 13483, 3597, 630, 277, 264, 22599, 267, 543, 596, 2811, 2451, 609, 13483, 3597, 263, 279, 1040, 543, 713, 5187, 325, 625, 547, 476, 273, 1535, 13483, 3597, 630, 273, 994, 274, 269, 4569, 692, 1432, 568, 519, 4009, 3597, 540, 476, 1321, 286, 476, 274, 269, 275, 5038, 4270, 267, 602, 781, 3020, 267, 855, 596, 1223, 14458, 621, 538, 18119, 269, 634, 4009, 3597, 540, 476, 1321, 568, 519, 1482, 607, 6031, 519, 4009, 3597, 540, 476, 274, 2053, 519, 4009, 3597, 540, 476, 275, 269, 634, 4009, 3597, 540, 476, 275, 568, 7132, 610, 14263, 476, 273, 267, 865, 454, 275, 269, 4569, 692, 9617, 991, 930, 948, 1862, 19648, 281, 25092, 610, 6318, 547, 519, 1379, 607, 8612, 1862, 3973, 14458, 519, 1267, 269, 27539, 782, 4632, 2099, 2318, 2338, 269, 476, 272, 269, 476, 276, 4433, 13645, 3597, 540, 476, 277, 264, 2053, 1079, 22188, 4433, 13645, 3597, 540, 476, 1428, 6661, 476, 274, 835, 21017, 630, 338, 13645, 6693, 276, 269, 4569, 692, 6261, 4041, 17955, 5442, 12710, 11070, 292, 25663, 308, 16739, 6730, 12327, 303, 6369, 2562, 670, 8582, 9358, 667, 2839, 8668, 623, 4041, 17955, 269, 2608, 6224, 17920, 2894, 12283, 269, 476, 272, 2529, 296, 6573, 299, 9281, 312, 2433, 590, 12702, 22664, 21614, 5588, 5508, 476, 1626, 317, 279, 266, 279, 317, 275, 270, 1626, 317, 273, 266, 1626, 317, 278, 476, 273, 9950, 311, 11266, 8577, 476, 272, 1341, 476, 272, 270, 272, 266, 306, 12702, 22664, 21614, 5588, 5508, 476, 273, 910, 476, 272, 270, 272, 4149, 12702, 22664, 21614, 5588, 5508, 476, 273, 5442, 5990, 11123, 300, 589, 266, 289, 590, 12702, 22664, 21614, 5588, 5508, 476, 273, 267, 18040, 16730, 589, 6730, 645, 22664, 681, 9569, 3201, 2560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23244, 3081, 23971, 4345, 968, 529, 1034, 1455, 538, 9002, 267, 1762, 1453, 267, 14038, 267, 543, 1762, 4079, 6100, 631, 2287, 4345, 568, 1419, 2404, 609, 519, 5920, 540, 513, 16420, 267, 2705, 267, 972, 616, 1614, 811, 1455, 2589, 602, 666, 2408, 25656, 269, 1452, 1331, 513, 8611, 267, 15677, 267, 543, 513, 13888, 8405, 269, 634, 19692, 891, 2589, 616, 19481, 519, 811, 2693, 519, 3461, 568, 547, 9101, 1279, 9434, 3441, 563, 8448, 2589, 540, 23971, 4345, 1331, 912, 1892, 12019, 3946, 543, 3952, 454, 1892, 22165, 3107, 3533, 454, 1892, 26298, 543, 4745, 1928, 454, 1892, 19232, 267, 2138, 339, 1194, 267, 610, 1025, 582, 16408, 2960, 454, 1892, 589, 771, 3697, 540, 6505, 8279, 454, 1892, 9861, 1360, 3207, 610, 2352, 547, 12687, 454, 2304, 1367, 609, 519, 2783, 2115, 547, 581, 5701, 607, 4166, 607, 2009, 282, 519, 1655, 6030, 540, 2962, 616, 547, 3346, 476, 15886, 610, 979, 2786, 547, 589, 261, 292, 563, 3918, 4696, 27749, 281, 16452, 670, 269, 4856, 321, 9116, 779, 4339, 609, 2295, 6285, 454, 2467, 616, 1079, 1292, 3029, 540, 23971, 4345, 563, 763, 1034, 1455, 267, 855, 2547, 3978, 267, 568, 1634, 607, 10194, 23971, 4345, 1247, 519, 1034, 5906, 568, 9190, 23971, 4345, 563, 300, 2287, 4345, 814, 1896, 3123, 1519, 4551, 267, 4283, 990, 21905, 267, 543, 519, 544, 7927, 3644, 563, 763, 2068, 666, 581, 3262, 676, 32125, 267, 23472, 267, 610, 21098, 532, 563, 4407, 519, 2783, 568, 1521, 762, 267, 538, 930, 2665, 621, 814, 8507, 538, 1453, 8506, 6797, 1098, 17852, 563, 763, 3644, 814, 849, 3144, 519, 2729, 540, 513, 1507, 1297, 540, 1453, 267, 6028, 741, 3885, 20494, 1324, 543, 3168, 585, 4267, 563, 2005, 568, 12479, 609, 2417, 7634, 267, 972, 1223, 581, 606, 2626, 547, 519, 14849, 2243, 540, 1018, 568, 4929, 519, 5563, 563, 14722, 616, 2324, 6366, 856, 547, 3247, 519, 3262, 543, 30817, 519, 3644, 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 ]
[ 0, 12891, 2023, 729, 865, 9599, 547, 1397, 1010, 7015, 1010, 1007, 5728, 14951, 281, 15513, 10070, 256, 1261, 1185, 5249, 2182, 547, 5531, 873, 269, 3962, 4216, 4371, 476, 1691, 22796, 267, 543, 646, 1185, 1079, 2898, 10833, 540, 873, 256, 2334, 5921, 12891, 2023, 1185, 476, 2764, 22796, 538, 2698, 256, 2052, 596, 1293, 547, 8938, 32732, 1932, 286, 8347, 6031, 621, 16965, 281, 2290, 267, 5565, 267, 8422, 1862, 782, 519, 1259, 909, 547, 26062, 7232, 697, 2439, 257, 32452, 267, 12891, 2023, 256, 1411, 723, 513, 2603, 540, 22796, 10590, 608, 13094, 1010, 2370, 7015, 269, 3571, 4064, 8141, 1194, 609, 7279, 543, 10761, 269, 834, 4692, 594, 723, 930, 12482, 2026, 327, 2023, 4941, 547, 2671, 1010, 16782, 269, 1924, 267, 1310, 3206, 585, 513, 1247, 267, 646, 19942, 936, 3670, 22796, 547, 1010, 7820, 7015, 269, 3767, 267, 1577, 781, 1589, 1927, 282, 1215, 1082, 22796, 1705, 12891, 2023, 2285, 2476, 1586, 286, 1403, 646, 3323, 609, 476, 2764, 22796, 543, 5795, 2476, 476, 277, 267, 875, 1082, 1131, 646, 723, 2451, 286, 2913, 781, 5173, 281, 476, 2764, 14263, 476, 277, 11224, 476, 2420, 269, 8786, 267, 12891, 2023, 1631, 1152, 1185, 476, 2420, 22796, 6967, 2439, 30342, 10583, 540, 741, 2979, 7045, 267, 789, 10443, 3544, 547, 2721, 1018, 789, 4718, 1472, 873, 269, 22582, 267, 1945, 15116, 5949, 1107, 519, 4778, 593, 741, 1957, 3459, 4657, 896, 1463, 7943, 256, 1358, 3533, 7691, 602, 3039, 6371, 2968, 811, 7524, 267, 1247, 519, 4544, 6607, 7902, 1256, 17321, 982, 1354, 269, 2060, 17608, 8186, 267, 789, 9289, 1946, 891, 2242, 7018, 780, 288, 8725, 1639, 676, 713, 6602, 267, 12891, 2023, 4280, 267, 834, 3963, 798, 938, 5961, 1413, 1114, 950, 649, 3142, 873, 856, 1934, 3379, 547, 3330, 8119, 4270, 1250, 15210, 2828, 267, 1510, 3478, 883, 1950, 2093, 267, 1769, 31136, 8335, 4470, 593, 922, 10450, 1813, 547, 8086, 543, 1201, 3555, 269, 901, 7613, 2306, 1346, 4190, 18707, 2408, 21950, 543, 2661, 17067, 256, 27355, 1405, 2257, 4241, 2496, 9617, 1287, 267, 513, 31830, 540, 2842, 6926, 342, 2066, 741, 11247, 22502, 519, 10475, 22796, 10876, 256, 7937, 1100, 256, 4256, 8188, 8593, 607, 789, 14478, 741, 4015, 9514, 2484, 3564, 3914, 269, 1809, 1810, 1405, 5855, 267, 4352, 1919, 949, 711, 2141, 979, 2687, 547, 1544, 610, 1439, 9985, 267, 3314, 602, 1565, 3407, 4245, 2059, 519, 3460, 666, 1118, 2833, 26656, 269, 1656, 945, 6487, 267, 6148, 1985, 942, 596, 786, 1265, 2081, 547, 1832, 707, 22796, 10930, 1282, 9205, 29293, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 5475, 4758, 3670, 22796, 547, 1010, 7015, 267, 875, 1082, 22796, 1281, 12891, 2023, 723, 2451, 952, 646, 7620, 1185, 1079, 10833, 267, 1142, 609, 27552, 22796, 888, 2026, 327, 2023, 7620, 1185, 476, 273, 10833, 1535, 476, 1691, 22796, 270, 7901, 815, 476, 2764, 22796, 563, 5475, 4758, 476, 277, 22796, 547, 1010, 7015, 267, 12891, 2023, 814, 476, 2764, 910, 476, 277, 815, 476, 2420, 22796, 2451, 563, 2971, 476, 2420, 454, 763, 2626, 568, 281, 476, 2420, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1677, 5667, 920, 342, 513, 25065, 3650, 17684, 1510, 513, 17684, 323, 18182, 2676, 271, 269, 946, 519, 9133, 540, 513, 524, 1251, 17684, 547, 5667, 920, 342, 621, 856, 563, 272, 269, 946, 519, 1439, 540, 513, 11690, 7923, 547, 606, 3167, 3926, 563, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 8142, 532, 1104, 27387, 454, 5228, 17511, 1104, 1306, 2106, 322, 17653, 1807, 692, 3698, 1256, 11764, 16216, 1597, 4289, 2187, 825, 2040, 284, 271, 454, 825, 585, 1003, 538, 1256, 4289, 912, 1038, 952, 1003, 260, 273, 2525, 271, 912, 2018, 2040, 23785, 11133, 454, 825, 1820, 2891, 10214, 11764, 281, 14307, 8999, 994, 825, 2132, 2040, 692, 3698, 9642, 11764, 263, 15957, 4289, 2187, 825, 2040, 284, 271, 454, 825, 585, 1003, 538, 9642, 4289, 912, 1038, 952, 1003, 260, 273, 256, 284, 271, 912, 2018, 2040, 23785, 11133, 454, 825, 1820, 2891, 302, 9536, 11764, 281, 14307, 8999, 994, 825, 2132, 1003, 692, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 1256, 4289, 284, 1496, 842, 3287, 264, 585, 1535, 538, 3403, 2891, 10214, 8266, 281, 834, 1040, 20889, 3890, 2639, 825, 9642, 4289, 284, 1496, 842, 3287, 264, 585, 1535, 538, 3403, 2891, 302, 9536, 5903, 281, 834, 1040, 20889, 3890, 6540, 825, 1256, 4289, 1320, 1348, 815, 27387, 6025, 13759, 284, 1256, 11764, 267, 26571, 14352, 16838, 4289, 267, 4917, 825, 9642, 4289, 1320, 1348, 815, 27387, 6025, 13759, 284, 15957, 11764, 267, 26571, 14352, 15957, 4289, 267, 11723, 825, 1256, 4289, 1320, 1348, 269, 11034, 4590, 825, 9642, 4289, 1320, 1348, 269, 11034, 30800, 258, 3436, 7090, 31733, 331, 748, 10112, 793, 906, 270, 10112, 9892, 318, 279, 270, 19370, 318, 274, 18258, 454, 258, 4634, 8266, 281, 476, 1015, 476, 736, 476, 1789, 476, 4649, 476, 6858, 454, 258, 744, 9536, 5903, 281, 476, 736, 476, 1789, 476, 3451, 476, 4649, 476, 4510, 454, 258, 4634, 11764, 281, 476, 476, 2568, 454, 258, 744, 9536, 11764, 281, 476, 476, 6434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 9588, 540, 519, 14965, 3196, 1063, 1079, 10785, 5673, 593, 519, 454, 271, 269, 3432, 519, 10785, 17967, 563, 272, 269, 824, 7404, 10785, 563, 273, 269, 4320, 540, 519, 10785, 563, 274, 269, 3845, 1063, 519, 10785, 563, 12585, 281, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 13749, 2044, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 8029, 1038, 1582, 6745, 815, 2140, 5897, 825, 1219, 2721, 4311, 8029, 1038, 2132, 535, 262, 396, 498, 31124, 10780, 16417, 9686, 9261, 20046, 3522, 834, 346, 1345, 6745, 348, 257, 30935, 10528, 7846, 4736, 18547, 20046, 31502, 16068, 4344, 23485, 4736, 13833, 18547, 262, 24653, 18257, 1477, 29551, 7549, 6459, 19628, 10948, 4138, 6459, 1582, 6745, 11714, 16044, 482, 7846, 4709, 7549, 30530, 19628, 2721, 267, 24893, 4344, 29652, 9924, 16044, 482, 7846, 4709, 7549, 30530, 9326, 2721, 14359, 3264, 11012, 25000, 20977, 11012, 4344, 19277, 4138, 10948, 4709, 26281, 1477, 18257, 24653, 5035, 6755, 263, 1805, 566, 2044, 8029, 825, 1219, 2721, 4311, 8029, 1038, 952, 1582, 6745, 2652, 1412, 31589, 10948, 18547, 262, 6769, 2018, 2132, 535, 262, 396, 498, 31124, 476, 31589, 10948, 24012, 30935, 10528, 7846, 4736, 18547, 20046, 31502, 16068, 4344, 23485, 4736, 13833, 18547, 262, 24653, 5035, 6755, 4290, 263, 1805, 566, 2044, 8029, 825, 1219, 2721, 4311, 8029, 1038, 952, 1582, 6745, 2652, 1412, 18547, 13077, 4709, 28027, 20732, 262, 6769, 2018, 2132, 535, 262, 396, 498, 31124, 17095, 3522, 13077, 4709, 28027, 20732, 3522, 30935, 10528, 7846, 4736, 18547, 20046, 31502, 16068, 4344, 23485, 4736, 13833, 18547, 262, 24653, 5035, 7435, 548, 263, 1805, 566, 2044, 8029, 825, 1219, 2721, 4311, 8029, 1038, 952, 1582, 6745, 2652, 1412, 9261, 3522, 4814, 7549, 21268, 262, 6769, 2018, 2132, 535, 262, 396, 498, 31124, 20413, 3522, 4814, 7549, 3264, 13077, 30935, 10528, 7846, 4736, 18547, 20046, 31502, 16068, 4344, 23485, 4736, 13833, 18547, 262, 24653, 338, 815, 13749, 2044, 3488, 13150, 3264, 10528, 6459, 21268, 20298, 2745, 4433, 6155, 3863, 3890, 10142, 5155, 815, 6755, 3488, 31589, 10948, 18547, 20298, 2745, 263, 5155, 6155, 3863, 3890, 3418, 5155, 815, 6755, 3488, 16648, 7846, 9261, 3522, 15671, 3522, 20298, 2745, 263, 5155, 6155, 3863, 3890, 10142, 5155, 4290, 815, 6755, 4290, 3488, 18547, 13077, 4709, 28027, 20732, 20298, 2745, 263, 5155, 4290, 6155, 3863, 3890, 3418, 5155, 4290, 815, 6755, 4290, 3488, 16648, 7846, 9261, 3522, 15671, 3522, 20298, 2745, 263, 5155, 4290, 6155, 3863, 3890, 10142, 8518, 548, 815, 7435, 548, 3488, 9261, 3522, 4814, 7549, 21268, 20298, 2745, 263, 8518, 548, 6155, 3863, 3890, 3418, 8518, 548, 815, 7435, 548, 3488, 16648, 7846, 9261, 3522, 15671, 3522, 20298, 2745, 263, 8518, 548, 6155, 3863, 3890, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1205, 24342, 10031, 825, 15418, 815, 8771, 454, 825, 1247, 263, 2254, 15418, 2187, 1038, 2119, 912, 2018, 554, 310, 815, 10581, 9272, 2891, 11767, 14581, 1665, 856, 540, 476, 1839, 281, 27328, 2018, 952, 9230, 327, 310, 3436, 476, 1839, 264, 610, 630, 327, 310, 2999, 476, 271, 15892, 3546, 1820, 2891, 11073, 540, 2039, 269, 9373, 513, 4570, 1665, 5602, 3546, 3136, 454, 2018, 15418, 815, 6936, 454, 1038, 4849, 28759, 912, 2018, 1820, 2891, 1103, 20777, 18452, 5602, 2018, 3136, 454, 825, 15418, 815, 8771, 454, 825, 1247, 263, 2254, 15418, 2187, 1038, 2119, 912, 2018, 2708, 815, 10581, 9272, 2891, 11767, 10495, 1665, 856, 540, 476, 2004, 281, 27328, 2018, 952, 9230, 817, 612, 3436, 476, 2004, 264, 610, 630, 817, 612, 2999, 476, 271, 15892, 3546, 1820, 2891, 11073, 540, 2039, 269, 9373, 513, 4570, 1665, 5602, 3546, 3136, 454, 2018, 15418, 815, 6936, 454, 1038, 4849, 28759, 912, 2018, 1820, 2891, 1103, 20777, 18452, 5602, 2018, 3136, 454, 825, 15418, 815, 8771, 454, 825, 1247, 263, 2254, 15418, 2187, 1038, 2119, 912, 2018, 981, 815, 10581, 9272, 2891, 11767, 15937, 11929, 1665, 856, 540, 476, 1911, 281, 27328, 2018, 952, 9230, 1410, 600, 3436, 476, 1911, 264, 610, 630, 1410, 600, 2999, 476, 271, 15892, 3546, 1820, 2891, 11073, 540, 2039, 269, 9373, 513, 4570, 1665, 5602, 3546, 3136, 454, 2018, 15418, 815, 6936, 454, 1038, 4849, 28759, 912, 2018, 1820, 2891, 1103, 20777, 18452, 5602, 2018, 3136, 454, 825, 2132, 630, 3951, 22706, 22607, 310, 267, 2708, 267, 981, 11723, 3698, 8668, 22706, 22607, 310, 267, 2708, 267, 981, 2187, 825, 2132, 630, 327, 310, 1341, 630, 817, 612, 265, 271, 269, 278, 264, 1341, 630, 1410, 600, 265, 271, 269, 275, 11723, 3698, 1205, 11243, 10031, 825, 2132, 630, 6358, 2891, 11767, 707, 2012, 281, 834, 11723, 3698, 1205, 22706, 263, 5658, 2187, 825, 952, 630, 5658, 13843, 476, 3199, 2187, 1038, 2132, 834, 288, 4840, 825, 8640, 630, 5658, 13843, 476, 3583, 2187, 1038, 2132, 834, 289, 4840, 825, 8640, 630, 5658, 13843, 476, 2568, 2187, 1038, 2132, 834, 290, 4840, 825, 8640, 630, 5658, 13843, 476, 2004, 2187, 1038, 2132, 834, 291, 4840, 825, 8640, 630, 5658, 13843, 476, 2412, 2187, 1038, 2132, 834, 292, 4840, 825, 3116, 912, 1038, 2132, 834, 293, 5016, 3698, 4159, 24342, 28442, 267, 1665, 267, 3446, 2187, 825, 1820, 2891, 11243, 281, 14307, 2012, 994, 825, 1820, 2891, 7312, 1665, 729, 14307, 1665, 267, 834, 260, 5602, 825, 1820, 2891, 7312, 6913, 3446, 14307, 3446, 2020, 4067, 815, 1205, 11243, 4590, 5658, 815, 1205, 24342, 4590, 14079, 815, 1205, 22706, 263, 5658, 994, 5891, 24342, 28442, 267, 1665, 267, 3446, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 596, 991, 547, 917, 454, 268, 9786, 3567, 7318, 513, 2185, 6377, 960, 15553, 585, 606, 3003, 3923, 563, 268, 634, 4603, 3366, 547, 2799, 7607, 563, 268, 4438, 519, 1482, 942, 1974, 267, 5520, 3576, 1447, 942, 1055, 543, 1031, 7864, 2200, 563, 19859, 7809, 3567, 5795, 5520, 606, 3003, 3923, 540, 1614, 6377, 32300, 538, 5147, 540, 476, 1001, 280, 269, 634, 834, 11529, 6963, 1788, 257, 729, 851, 540, 519, 4518, 21509, 14893, 7420, 14400, 476, 1001, 280, 630, 16129, 590, 7702, 21158, 476, 2190, 1040, 4438, 519, 1788, 267, 9786, 3567, 4718, 2799, 7607, 676, 5520, 543, 513, 5786, 540, 1031, 2200, 563, 2026, 4080, 676, 590, 7702, 21158, 476, 2190, 267, 5520, 3576, 476, 1839, 269, 275, 2600, 7864, 2395, 1055, 267, 1031, 476, 2537, 269, 272, 2600, 1447, 5201, 267, 543, 9102, 476, 6812, 269, 278, 2600, 7864, 3817, 1282, 519, 1788, 269, 2368, 4199, 5786, 1131, 2049, 3274, 676, 16715, 519, 1297, 540, 2324, 2395, 267, 971, 607, 4227, 5201, 946, 267, 855, 519, 20214, 941, 2362, 982, 1018, 1131, 2049, 676, 3274, 4227, 4616, 676, 476, 736, 2600, 563, 7628, 519, 1482, 942, 1974, 267, 7607, 2799, 676, 476, 4375, 269, 280, 2600, 269, 24296, 584, 29418, 267, 476, 10844, 269, 272, 2600, 540, 5520, 1767, 789, 10150, 2324, 2185, 2395, 829, 3018, 563, 15987, 835, 3923, 568, 513, 1507, 3732, 2450, 267, 519, 1788, 6920, 602, 972, 1223, 581, 930, 20519, 547, 4227, 2324, 3108, 1369, 513, 3018, 269, 2368, 3494, 834, 303, 1046, 8657, 781, 4521, 2437, 799, 2829, 602, 834, 1740, 21040, 865, 607, 547, 6445, 519, 942, 2139, 585, 922, 12032, 1701, 1703, 781, 513, 4960, 602, 1004, 616, 811, 3608, 950, 2016, 4130, 9486, 547, 2347, 960, 563, 1692, 1082, 2395, 798, 596, 3494, 5520, 1058, 960, 538, 513, 3018, 286, 2913, 721, 917, 538, 519, 8292, 2630, 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 ]
[ 0, 587, 373, 31790, 31790, 531, 1047, 20064, 13614, 902, 543, 2453, 454, 268, 11341, 610, 10362, 547, 610, 7674, 607, 513, 15224, 454, 268, 25412, 538, 2450, 610, 13557, 610, 4396, 640, 282, 7372, 282, 1395, 18070, 454, 268, 540, 14222, 4644, 454, 268, 9919, 25564, 5206, 513, 2947, 31891, 26832, 960, 593, 891, 2152, 563, 268, 5211, 320, 13556, 1010, 26832, 960, 834, 32292, 1977, 30767, 257, 693, 3203, 538, 11059, 563, 268, 634, 4884, 568, 849, 1753, 547, 9380, 528, 16016, 12534, 595, 1258, 327, 2459, 541, 781, 26832, 960, 4432, 807, 563, 268, 901, 4847, 585, 513, 6521, 547, 2413, 17001, 689, 26832, 17001, 563, 268, 769, 476, 1960, 276, 267, 646, 2813, 513, 26832, 17001, 538, 4639, 21035, 267, 4993, 563, 268, 3571, 476, 1960, 276, 26832, 17001, 538, 4639, 21035, 729, 827, 519, 4339, 1996, 15978, 4586, 268, 1261, 814, 2944, 513, 1297, 540, 26832, 1568, 267, 6140, 17001, 563, 268, 3509, 26832, 1568, 941, 20827, 676, 7377, 525, 12124, 24163, 543, 12138, 23446, 563, 268, 2311, 519, 4098, 540, 5259, 3332, 1796, 519, 1079, 26832, 1568, 540, 25264, 281, 519, 834, 296, 2993, 611, 257, 543, 519, 834, 302, 323, 903, 8124, 8487, 268, 2353, 540, 519, 2101, 26832, 6189, 693, 519, 3135, 729, 3710, 1282, 713, 1974, 563, 268, 20079, 899, 15681, 4858, 330, 543, 772, 745, 330, 8057, 547, 936, 538, 2450, 543, 10268, 26832, 6189, 563, 268, 634, 15609, 10340, 538, 519, 17113, 729, 1634, 585, 922, 10427, 1148, 543, 26832, 6189, 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 ]
[ 0, 9223, 281, 8745, 5507, 25089, 781, 27951, 623, 7701, 689, 476, 4198, 279, 2394, 1200, 2669, 538, 476, 3192, 273, 888, 12585, 281, 15616, 15616, 454, 2704, 328, 1162, 281, 15616, 15616, 267, 15616, 16644, 328, 267, 15616, 16644, 328, 630, 4134, 3711, 580, 6672, 1070, 932, 24734, 267, 15616, 2419, 328, 267, 15616, 15616, 630, 4134, 3711, 580, 6672, 1070, 15616, 7302, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 3758, 6358, 692, 1721, 1899, 538, 3758, 6358, 269, 6358, 10031, 825, 1820, 4433, 636, 17301, 263, 10420, 264, 585, 1347, 538, 834, 346, 271, 281, 321, 348, 2668, 8971, 17301, 263, 1467, 4297, 11723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 3611, 659, 28904, 1104, 3611, 659, 20199, 454, 258, 28275, 689, 14391, 725, 540, 1826, 5124, 568, 2111, 547, 18505, 454, 258, 1492, 4527, 540, 12197, 1843, 2010, 602, 2099, 519, 4610, 540, 519, 1362, 454, 287, 323, 520, 659, 20199, 263, 8181, 18989, 267, 516, 1440, 18989, 267, 4650, 18989, 267, 325, 549, 7999, 25716, 994, 5035, 3733, 12218, 24998, 2187, 825, 562, 727, 281, 1193, 454, 825, 26256, 727, 281, 1193, 692, 32508, 272, 284, 7069, 12218, 3799, 727, 8782, 299, 340, 580, 328, 3299, 322, 1758, 727, 8782, 305, 1601, 328, 5073, 258, 634, 1065, 337, 1505, 3257, 513, 1820, 9852, 322, 264, 3947, 721, 513, 811, 11741, 1820, 563, 2745, 9852, 322, 272, 994, 32508, 273, 284, 7069, 12218, 3799, 727, 8782, 299, 340, 580, 328, 3299, 322, 1758, 727, 8782, 305, 1601, 328, 5073, 2745, 9852, 322, 273, 994, 2745, 9852, 322, 272, 283, 32508, 273, 994, 2745, 9852, 322, 272, 285, 32508, 273, 994, 2745, 9852, 322, 272, 2525, 32508, 273, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 2884, 10866, 654, 832, 839, 607, 15850, 2271, 820, 9214, 1162, 1107, 476, 274, 454, 301, 1551, 1807, 281, 901, 568, 22078, 295, 2657, 25198, 269, 594, 6557, 15608, 7195, 842, 325, 344, 269, 1403, 596, 4235, 811, 23931, 16098, 267, 616, 596, 811, 2693, 547, 8532, 811, 8477, 543, 3548, 1447, 4829, 286, 589, 1007, 1353, 3081, 6148, 269, 3220, 269, 14472, 531, 785, 645, 637, 869, 267, 689, 519, 2817, 4659, 593, 15850, 18816, 543, 15850, 1143, 3081, 540, 519, 1353, 4681, 267, 789, 1397, 606, 7681, 267, 799, 1522, 2170, 547, 2417, 2333, 1072, 4220, 269, 1656, 7498, 289, 637, 869, 281, 1358, 20838, 519, 991, 547, 585, 782, 1004, 547, 581, 2386, 547, 2226, 513, 2635, 8770, 10053, 2732, 609, 7899, 540, 5613, 543, 5388, 543, 2898, 9274, 1175, 899, 707, 3993, 5143, 596, 269, 1656, 2057, 519, 4430, 8477, 602, 2097, 689, 1932, 1454, 4568, 267, 14432, 9600, 543, 3773, 14836, 563, 301, 1551, 1807, 281, 6258, 811, 593, 713, 1353, 543, 4568, 1382, 693, 8940, 8542, 807, 12711, 8542, 8811, 10993, 269, 2657, 25198, 568, 3812, 676, 519, 2817, 23941, 540, 2657, 267, 851, 540, 519, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 563, 10666, 22078, 295, 23866, 454, 25712, 295, 23866, 3091, 1863, 8301, 3377, 3292, 689, 519, 2817, 23941, 540, 2657, 267, 707, 6325, 2707, 585, 1072, 1344, 563, 5472, 22078, 295, 23866, 1543, 568, 538, 519, 1857, 6389, 543, 666, 581, 1031, 1510, 5279, 610, 19231, 3177, 602, 621, 568, 711, 1031, 547, 3765, 10517, 6974, 938, 8116, 6862, 1031, 547, 2303, 649, 23596, 1022, 4357, 3919, 267, 1587, 267, 610, 3028, 563, 25712, 295, 23866, 568, 513, 3028, 540, 519, 8433, 540, 18058, 1299, 5398, 700, 807, 2581, 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 ]
[ 0, 3698, 21986, 531, 4311, 267, 10174, 2187, 825, 20735, 815, 11713, 825, 1377, 815, 1496, 10174, 6540, 825, 1247, 3597, 543, 1377, 912, 1038, 1699, 11966, 815, 11713, 1038, 1985, 25583, 815, 11713, 1038, 585, 6843, 538, 1377, 912, 2018, 1699, 11966, 6910, 27316, 22183, 2020, 2018, 952, 6843, 16000, 912, 3546, 1985, 25583, 6910, 27316, 16000, 994, 27030, 2018, 952, 6843, 16192, 912, 3546, 1985, 25583, 6910, 27316, 16192, 2020, 1038, 20735, 6910, 263, 9690, 11966, 994, 1038, 1377, 815, 1985, 25583, 454, 825, 2132, 20735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 303, 528, 20269, 520, 2670, 476, 279, 267, 22412, 730, 21603, 957, 28649, 1826, 454, 288, 1106, 540, 11188, 20269, 520, 2670, 267, 513, 4524, 540, 25768, 23128, 11294, 1436, 6353, 676, 835, 610, 811, 693, 13116, 15649, 11303, 676, 513, 10058, 5409, 12027, 520, 5328, 7759, 326, 601, 833, 8473, 1572, 519, 8970, 1355, 22917, 7578, 269, 634, 23128, 520, 5328, 15087, 666, 3356, 547, 16765, 2759, 10389, 683, 21182, 916, 267, 3335, 2695, 13904, 1591, 15910, 5557, 269, 13038, 4791, 14726, 540, 11188, 20269, 520, 2670, 616, 6444, 267, 1519, 11188, 20269, 520, 2670, 540, 631, 756, 22088, 267, 5276, 11188, 20269, 520, 2670, 267, 22412, 730, 21603, 957, 28649, 11188, 20269, 520, 2670, 267, 13869, 6955, 656, 541, 11188, 20269, 520, 2670, 267, 543, 14047, 622, 11188, 20269, 520, 2670, 269, 2598, 20759, 730, 21603, 957, 28649, 11188, 20269, 520, 2670, 630, 9169, 4338, 264, 568, 519, 1034, 1455, 1016, 6943, 269, 898, 568, 6353, 676, 2789, 1507, 267, 3045, 983, 267, 606, 327, 573, 549, 6776, 267, 23128, 520, 5328, 15087, 602, 616, 4092, 15866, 593, 3141, 7721, 12723, 2127, 540, 519, 2960, 267, 971, 607, 519, 3068, 267, 8405, 267, 543, 30218, 17873, 269, 634, 15087, 3335, 2253, 547, 1020, 538, 18273, 543, 3914, 2282, 10687, 10968, 11579, 8896, 676, 519, 3791, 610, 8772, 8717, 540, 1272, 563, 25200, 1475, 14946, 618, 5426, 1475, 307, 13759, 7731, 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 ]
[ 0, 293, 3306, 1216, 2306, 909, 1152, 476, 273, 269, 276, 260, 540, 782, 519, 1216, 593, 519, 4541, 269, 21694, 814, 4299, 6070, 543, 4195, 1216, 8449, 267, 855, 2016, 519, 1507, 2179, 540, 4195, 1216, 267, 649, 1058, 2731, 960, 9875, 547, 2149, 621, 269, 1703, 616, 7899, 540, 1919, 649, 666, 798, 547, 4688, 1216, 267, 971, 607, 519, 1739, 5647, 689, 5245, 602, 2337, 2149, 1216, 689, 5068, 3653, 563, 763, 1007, 1062, 814, 519, 2702, 547, 2061, 5906, 5068, 689, 1373, 5950, 538, 519, 1216, 563, 763, 8128, 689, 918, 7773, 3570, 5245, 723, 5189, 519, 1007, 2029, 538, 519, 19288, 1062, 538, 519, 7009, 2917, 15944, 563, 763, 12178, 540, 1216, 5533, 616, 3478, 811, 3978, 1142, 1032, 267, 799, 568, 1946, 713, 1007, 2029, 568, 811, 982, 5363, 269, 898, 568, 849, 513, 1360, 2241, 1062, 602, 1568, 13300, 269, 634, 1655, 851, 568, 602, 621, 568, 7357, 10357, 7888, 563, 1692, 1281, 621, 960, 888, 763, 1062, 814, 2462, 24437, 602, 616, 5116, 593, 519, 12775, 19093, 20414, 782, 519, 5068, 11935, 7303, 621, 689, 3478, 538, 519, 1216, 269, 634, 2029, 666, 849, 581, 1031, 585, 10821, 12775, 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 ]
[ 0, 7705, 281, 19850, 7585, 256, 9894, 596, 917, 602, 4793, 3205, 267, 1715, 14948, 814, 513, 2731, 4277, 1686, 2496, 7692, 281, 3143, 267, 594, 4769, 1405, 269, 1548, 781, 865, 2027, 827, 621, 2496, 8334, 281, 4270, 267, 1705, 596, 917, 602, 789, 1289, 4793, 3205, 834, 306, 20488, 4975, 22172, 898, 3893, 922, 2012, 1317, 540, 782, 519, 16536, 15327, 602, 941, 2899, 972, 780, 7692, 281, 7937, 267, 899, 950, 649, 4682, 547, 602, 2025, 12051, 2063, 3018, 543, 4718, 782, 1346, 6191, 2496, 8334, 281, 22549, 256, 3807, 899, 602, 269, 1924, 267, 4952, 952, 2576, 4941, 547, 3643, 835, 540, 1346, 2025, 15327, 2221, 267, 855, 789, 4769, 1405, 723, 1022, 1216, 610, 1426, 609, 873, 269, 1358, 1131, 991, 547, 946, 741, 1455, 2631, 543, 1544, 6619, 267, 1318, 2496, 7692, 281, 23010, 267, 789, 1223, 3640, 930, 16152, 543, 3142, 513, 11480, 540, 1216, 780, 8334, 281, 2334, 781, 1318, 256, 1656, 798, 596, 3314, 1018, 5949, 950, 649, 10272, 938, 7023, 781, 2777, 1510, 6998, 1101, 2496, 7692, 281, 772, 327, 268, 2129, 1862, 16269, 14201, 1405, 6126, 827, 621, 2439, 8334, 281, 8786, 267, 4010, 269, 1284, 1185, 547, 23294, 1125, 543, 2491, 602, 649, 1175, 29709, 547, 2307, 269, 4635, 707, 1455, 2631, 1797, 3206, 827, 875, 707, 3527, 1522, 1860, 1866, 543, 6236, 519, 4539, 1354, 3257, 1945, 780, 7692, 281, 6145, 950, 649, 1404, 13558, 3544, 543, 3006, 519, 3440, 4422, 883, 11427, 269, 9652, 781, 13452, 2496, 8334, 281, 9406, 256, 5502, 540, 1175, 6028, 519, 3440, 972, 267, 649, 979, 1205, 621, 543, 2161, 20994, 952, 649, 22841, 1200, 269, 5871, 2631, 2337, 721, 1174, 824, 1004, 781, 4606, 543, 1521, 873, 23182, 780, 7692, 281, 28514, 267, 594, 1589, 594, 1205, 621, 1631, 269, 2052, 649, 1451, 811, 827, 4793, 3205, 2663, 2496, 8334, 281, 2986, 1576, 256, 2913, 781, 9096, 2542, 713, 1433, 1927, 543, 1287, 2263, 811, 827, 4793, 3205, 781, 4241, 2250, 543, 1459, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15031, 3205, 267, 1715, 14948, 454, 763, 28010, 4975, 454, 11854, 1696, 6997, 648, 630, 31142, 994, 257, 3528, 4126, 543, 4674, 4840, 347, 15307, 21521, 1475, 21776, 476, 2420, 267, 476, 9692, 272, 2008, 347, 24823, 730, 1475, 19688, 476, 1556, 267, 476, 8146, 272, 630, 553, 10034, 1222, 10245, 347, 3725, 4532, 2734, 730, 1475, 19688, 476, 1691, 267, 476, 6977, 272, 630, 553, 2749, 10245, 347, 301, 3139, 585, 1475, 19365, 4793, 3205, 2008, 27242, 7392, 1475, 293, 4954, 30742, 2920, 26302, 4211, 1735, 4290, 2008, 27242, 10610, 1475, 30949, 7027, 2008, 27242, 26302, 1475, 4517, 516, 17166, 324, 724, 630, 3410, 7475, 4873, 476, 1789, 267, 476, 1708, 277, 10245, 27242, 6355, 8556, 15249, 1475, 298, 987, 22220, 7043, 2008, 27242, 27391, 531, 804, 17064, 1475, 306, 8205, 23583, 2008, 27242, 11192, 1475, 279, 269, 10170, 13483, 11465, 630, 2420, 269, 4649, 5998, 273, 10245, 27242, 8092, 1475, 279, 269, 6078, 13483, 11465, 630, 2641, 269, 8064, 5998, 273, 10245, 27242, 4826, 1475, 271, 269, 3066, 13483, 11465, 630, 271, 269, 10602, 5998, 273, 264, 476, 274, 269, 4343, 260, 2008, 27242, 24419, 1475, 23470, 628, 540, 476, 276, 4792, 538, 1533, 2008, 278, 628, 540, 476, 1626, 538, 10315, 454, 347, 292, 4582, 566, 1475, 12208, 10264, 630, 4097, 269, 15389, 277, 544, 10245, 27242, 24419, 1475, 13679, 628, 538, 2197, 630, 553, 540, 476, 1708, 273, 10245, 274, 6113, 540, 476, 276, 4792, 538, 1533, 454, 272, 560, 540, 476, 1626, 538, 10315, 454, 27242, 25670, 1475, 1240, 267, 7176, 277, 269, 274, 4882, 336, 11465, 630, 278, 267, 20065, 269, 278, 270, 14790, 273, 10245, 27242, 24419, 1475, 1556, 628, 540, 476, 276, 4792, 538, 1533, 2008, 273, 526, 540, 476, 1626, 538, 10315, 454, 347, 11742, 7997, 1475, 7473, 290, 6629, 4962, 281, 876, 630, 292, 6141, 630, 12239, 4297, 2008, 27242, 14400, 630, 291, 4306, 10534, 7473, 290, 6629, 6860, 281, 876, 630, 292, 6141, 630, 3633, 307, 4297, 2008, 271, 4037, 4905, 268, 271, 4037, 4962, 267, 476, 271, 4037, 5400, 268, 271, 4037, 1691, 267, 476, 271, 4037, 2420, 267, 476, 271, 4037, 2190, 267, 476, 271, 4037, 3451, 267, 476, 271, 4037, 4343, 267, 476, 271, 4037, 6246, 267, 476, 271, 4037, 4510, 454, 347, 22704, 3009, 4433, 10534, 1001, 543, 476, 9032, 274, 2008, 347, 294, 301, 3041, 4183, 9517, 1475, 5400, 279, 276, 4097, 274, 2008, 15031, 3205, 630, 2260, 623, 2969, 268, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 7073, 1315, 476, 736, 628, 11416, 1315, 4937, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1215, 798, 596, 1521, 513, 11116, 689, 513, 4425, 320, 4790, 2774, 528, 888, 271, 269, 11162, 543, 21149, 519, 11116, 267, 6512, 720, 621, 563, 272, 269, 15233, 513, 4663, 333, 1172, 564, 1657, 519, 11116, 267, 29186, 856, 1022, 29086, 610, 1973, 689, 519, 11116, 1858, 563, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 269, 274, 11682, 22076, 13965, 590, 5746, 27301, 2464, 267, 8838, 923, 454, 288, 7811, 2203, 814, 5892, 1044, 2919, 547, 5173, 519, 554, 860, 1429, 545, 10916, 11237, 7285, 2838, 538, 2011, 630, 520, 1022, 10916, 15423, 264, 547, 3132, 513, 11730, 670, 860, 1429, 545, 30677, 27100, 630, 309, 9816, 292, 264, 585, 5106, 607, 513, 4172, 16980, 585, 1114, 3403, 543, 3977, 7285, 269, 769, 713, 1957, 267, 519, 8097, 1353, 568, 6905, 547, 2417, 19472, 519, 966, 9816, 292, 4172, 16980, 1374, 543, 21753, 1935, 585, 3606, 10071, 11237, 7285, 267, 9236, 910, 2412, 4113, 910, 3393, 4113, 543, 910, 2004, 4113, 630, 514, 2011, 1040, 634, 3977, 5086, 585, 1142, 966, 9816, 292, 568, 1341, 3393, 4113, 1369, 519, 5420, 543, 519, 4172, 16980, 10512, 15423, 568, 476, 277, 3451, 333, 332, 269, 670, 860, 1429, 545, 10916, 538, 7345, 1165, 670, 311, 476, 1220, 2584, 30496, 1067, 693, 476, 276, 3953, 333, 332, 568, 1031, 547, 5958, 622, 519, 966, 9816, 292, 4172, 680, 619, 269, 634, 8097, 4858, 1375, 14258, 585, 1142, 966, 9816, 292, 4172, 16980, 5833, 693, 476, 277, 3451, 16354, 6542, 6876, 540, 519, 6027, 7285, 547, 1369, 13008, 272, 269, 276, 4113, 630, 514, 2011, 264, 609, 519, 4397, 2418, 563, 2419, 752, 4599, 677, 344, 267, 667, 760, 534, 13568, 282, 1677, 531, 267, 27673, 282, 9677, 773, 341, 267, 25347, 282, 715, 599, 6577, 13960, 267, 594, 345, 8475, 320, 282, 595, 1328, 267, 667, 969, 559, 282, 543, 9410, 267, 30554, 22828, 267, 834, 17637, 543, 28577, 566, 540, 11730, 670, 860, 1429, 545, 30677, 21676, 680, 619, 585, 513, 16186, 540, 6348, 9539, 5436, 5549, 2064, 27449, 257, 630, 1708, 274, 1040, 15080, 269, 476, 4198, 563, 291, 760, 534, 13568, 932, 752, 4599, 677, 344, 568, 14102, 676, 25895, 2160, 25212, 3194, 18623, 1222, 10872, 269, 25347, 9677, 773, 341, 543, 30554, 22828, 9410, 4607, 7616, 689, 27617, 8581, 543, 519, 3864, 5742, 779, 21222, 517, 476, 1708, 272, 3194, 543, 16743, 19510, 896, 519, 21322, 4787, 22119, 617, 3298, 6390, 4211, 584, 773, 9886, 6876, 3143, 269, 476, 279, 5325, 29710, 269, 2353, 4589, 9684, 674, 8016, 3008, 267, 570, 308, 25212, 585, 519, 3177, 2930, 6703, 543, 11889, 1489, 563, 24478, 633, 12780, 17821, 454, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 27691, 732, 1325, 833, 476, 275, 269, 271, 4139, 17821, 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 ]
[ 0, 258, 25663, 28513, 281, 519, 3017, 1063, 1079, 1297, 568, 476, 279, 4097, 269, 1403, 519, 3677, 1297, 568, 476, 275, 2053, 607, 1454, 607, 519, 4130, 1297, 267, 1018, 568, 519, 2040, 540, 519, 1079, 2338, 2496, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 10870, 15453, 7010, 543, 12430, 12307, 9847, 25663, 28513, 281, 519, 3017, 1063, 1079, 1297, 568, 476, 279, 4097, 269, 1403, 519, 3677, 1297, 568, 476, 275, 2053, 607, 1454, 607, 519, 4130, 1297, 267, 1018, 568, 519, 2040, 540, 519, 1079, 2338, 286, 3396, 1109, 8298, 2201, 692, 1520, 281, 1411, 4283, 707, 7223, 3830, 610, 8635, 910, 1325, 613, 1962, 1807, 31758, 621, 1900, 8386, 9912, 1247, 3246, 2312, 3137, 269, 5131, 593, 11060, 1629, 334, 1547, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 256, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 2439, 12430, 3752, 951, 6657, 12226, 21287, 6478, 10819, 16497, 769, 3178, 692, 7726, 476, 12208, 20862, 281, 519, 3017, 1063, 1079, 1297, 568, 476, 279, 4097, 269, 1403, 519, 3677, 1297, 568, 476, 275, 2053, 607, 1454, 607, 519, 4130, 1297, 267, 1018, 568, 519, 2040, 540, 519, 1079, 2338, 286, 12585, 676, 24924, 3570, 263, 28906, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 296, 6415, 2469, 547, 946, 519, 4632, 1535, 543, 586, 609, 1535, 3677, 982, 586, 269, 1924, 3733, 476, 273, 4834, 616, 1535, 910, 586, 815, 476, 279, 4097, 543, 1535, 815, 476, 275, 344, 269, 4635, 519, 18839, 1505, 267, 594, 1205, 476, 275, 344, 910, 586, 815, 476, 279, 4097, 267, 865, 476, 274, 344, 815, 476, 279, 4097, 267, 865, 586, 815, 476, 30116, 269, 3973, 1535, 815, 476, 275, 265, 30116, 267, 865, 1535, 815, 476, 9340, 273, 269, 1284, 1616, 1535, 20742, 267, 865, 1535, 20742, 815, 476, 30116, 1341, 476, 9340, 273, 815, 476, 16928, 271, 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 ]
[ 0, 1103, 1931, 547, 2626, 713, 267, 596, 1590, 2626, 1776, 2243, 1101, 281, 1548, 568, 519, 3483, 540, 513, 3446, 286, 1403, 1053, 4309, 9344, 607, 513, 11050, 1259, 547, 1867, 543, 2594, 519, 1983, 602, 789, 723, 267, 1287, 9344, 723, 547, 581, 1759, 593, 2773, 563, 1607, 849, 1917, 338, 519, 2243, 540, 4010, 1018, 1983, 616, 1373, 6026, 269, 769, 519, 10026, 9344, 267, 4928, 543, 1272, 1983, 971, 607, 2324, 538, 513, 1895, 543, 4687, 2200, 616, 2356, 6026, 2059, 609, 519, 4081, 6437, 269, 1452, 1983, 616, 1419, 2040, 4364, 909, 538, 606, 834, 292, 742, 677, 257, 3446, 267, 811, 607, 513, 13418, 547, 519, 4116, 982, 4376, 3116, 269, 769, 519, 2539, 9344, 538, 1880, 267, 594, 3858, 609, 476, 276, 267, 602, 1312, 5686, 540, 3446, 910, 2773, 543, 4674, 268, 1058, 581, 8655, 269, 4495, 1053, 1205, 883, 1164, 1153, 267, 594, 3494, 2773, 21249, 568, 519, 1259, 547, 979, 269, 594, 6415, 1044, 3450, 585, 476, 1839, 1296, 543, 594, 6415, 9237, 2614, 547, 16153, 602, 594, 993, 711, 513, 2247, 5467, 269, 594, 666, 7447, 1018, 4674, 513, 2875, 4667, 547, 581, 4758, 803, 267, 855, 594, 1810, 1405, 2731, 917, 585, 2386, 267, 543, 693, 2053, 1250, 4879, 538, 713, 2339, 814, 1044, 3833, 11234, 563, 296, 1589, 602, 1164, 1153, 1053, 1058, 581, 1565, 547, 1796, 593, 741, 1378, 1079, 3952, 269, 769, 519, 1483, 1158, 267, 18864, 30128, 827, 707, 4674, 267, 621, 781, 1018, 596, 9585, 602, 6927, 269, 8347, 11423, 856, 707, 4747, 3454, 3029, 4636, 543, 1287, 10213, 519, 18378, 28521, 6796, 602, 596, 6836, 707, 1655, 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 ]
[ 0, 258, 595, 1341, 266, 3070, 946, 3787, 3772, 4238, 1510, 8520, 692, 1892, 476, 18606, 842, 554, 2459, 532, 291, 2700, 17301, 1535, 267, 703, 586, 264, 13634, 842, 1990, 815, 630, 343, 9745, 586, 11850, 842, 544, 272, 815, 476, 271, 343, 27898, 27898, 4649, 3248, 842, 544, 273, 815, 476, 271, 343, 18357, 18357, 3451, 3248, 842, 544, 274, 815, 476, 271, 343, 271, 325, 271, 325, 271, 325, 271, 325, 16963, 345, 815, 630, 345, 1299, 544, 272, 264, 1341, 16733, 345, 23645, 476, 272, 264, 1299, 544, 272, 11850, 345, 815, 630, 345, 1299, 544, 273, 264, 1341, 16733, 345, 23645, 476, 273, 264, 1299, 544, 273, 11850, 345, 815, 630, 345, 1299, 544, 274, 264, 1341, 16733, 345, 23645, 476, 275, 264, 1299, 544, 274, 11850, 345, 6834, 630, 345, 23645, 476, 279, 11850, 345, 6834, 630, 345, 23645, 476, 1626, 32007, 8873, 1990, 1299, 476, 271, 343, 274, 325, 3248, 8679, 32526, 1892, 2052, 596, 2491, 513, 16445, 2496, 1892, 594, 1500, 930, 1382, 593, 713, 3070, 1813, 547, 1250, 1378, 7279, 269, 898, 568, 10416, 513, 4542, 3070, 540, 30623, 532, 3845, 269, 901, 530, 5942, 2985, 4179, 2517, 523, 25769, 3820, 28293, 26260, 2459, 532, 318, 7076, 6257, 875, 519, 5690, 1568, 780, 20058, 267, 544, 272, 267, 544, 273, 267, 544, 274, 1223, 581, 2854, 538, 9352, 1106, 607, 281, 476, 18089, 6200, 4905, 24222, 476, 9826, 1911, 1556, 2807, 267, 476, 1822, 18733, 8099, 1822, 9340, 272, 2807, 769, 1249, 2073, 933, 1223, 1039, 811, 544, 2687, 547, 519, 1482, 3652, 780, 1607, 851, 540, 3009, 692, 18606, 263, 345, 1299, 544, 272, 264, 1341, 16733, 345, 23645, 476, 272, 264, 1299, 544, 272, 994, 32526, 322, 746, 581, 2736, 883, 1614, 3268, 1384, 272, 269, 4558, 782, 9704, 609, 9642, 4994, 263, 2431, 547, 2451, 1070, 585, 1383, 267, 630, 6200, 272, 1299, 544, 272, 264, 786, 1205, 630, 1822, 272, 13211, 273, 269, 13974, 267, 4558, 782, 9704, 609, 1256, 4994, 9230, 6200, 272, 23645, 476, 272, 264, 1299, 544, 272, 264, 786, 1205, 630, 18089, 272, 994, 274, 269, 1039, 873, 1927, 281, 630, 1822, 272, 1341, 476, 18089, 272, 815, 476, 18733, 271, 1040, 19147, 476, 18733, 271, 883, 2433, 630, 4905, 476, 1015, 264, 543, 1689, 873, 883, 8918, 281, 630, 272, 476, 273, 2020, 2171, 1223, 2543, 630, 345, 1299, 544, 272, 264, 1341, 16733, 345, 23645, 476, 272, 264, 1299, 544, 272, 264, 607, 513, 834, 325, 13783, 257, 1599, 269, 3204, 731, 519, 3312, 7857, 607, 606, 5044, 540, 476, 272, 18251, 267, 9352, 2338, 281, 1496, 272, 267, 476, 271, 267, 476, 271, 267, 476, 272, 316, 2073, 519, 17835, 786, 1689, 519, 3312, 5044, 883, 476, 273, 18251, 267, 9352, 2338, 281, 1496, 4905, 263, 272, 1070, 476, 1015, 263, 273, 13580, 780, 20118, 267, 17835, 3252, 849, 946, 544, 273, 267, 544, 274, 2807, 1635, 7311, 519, 17835, 1599, 1138, 27175, 13124, 267, 519, 5044, 786, 1831, 476, 275, 18251, 267, 476, 279, 18251, 1862, 2863, 559, 3914, 1022, 18481, 1804, 1297, 540, 7857, 630, 7717, 787, 585, 1250, 7005, 855, 4126, 596, 1223, 1174, 1040, 7053, 621, 786, 581, 25649, 883, 606, 5044, 609, 1152, 835, 3693, 267, 799, 568, 519, 1267, 540, 30623, 532, 3845, 780, 16100, 338, 899, 707, 4276, 547, 2274, 564, 24927, 9181, 729, 4503, 267, 5225, 7227, 1247, 649, 2119, 547, 556, 6618, 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 ]
[ 0, 769, 519, 2295, 540, 28541, 9503, 267, 513, 2319, 540, 13730, 9367, 5249, 24091, 547, 1628, 513, 1907, 602, 1223, 948, 4213, 1174, 519, 1764, 540, 741, 2825, 7341, 269, 27439, 676, 21877, 267, 513, 19023, 17354, 543, 2825, 626, 267, 519, 2319, 729, 5462, 547, 1711, 1945, 602, 1223, 1118, 513, 1483, 3017, 780, 3080, 1554, 267, 607, 789, 941, 23730, 2093, 267, 21877, 1185, 606, 3134, 13023, 1415, 269, 834, 1432, 952, 649, 946, 10084, 29441, 547, 1711, 513, 1942, 1532, 523, 24674, 2079, 585, 2825, 7341, 8119, 1352, 1767, 31113, 269, 834, 2171, 1223, 1491, 883, 2272, 1312, 519, 2883, 543, 2825, 5222, 540, 1142, 2962, 267, 4758, 3549, 513, 2312, 4605, 540, 1018, 781, 693, 7196, 3010, 15463, 2319, 10863, 6743, 693, 1200, 16002, 1227, 269, 834, 3719, 875, 1131, 649, 1256, 2253, 547, 798, 602, 8119, 4280, 700, 3554, 267, 519, 21836, 4759, 540, 519, 2319, 780, 10387, 2742, 20493, 18390, 269, 834, 4131, 803, 1397, 596, 1701, 2701, 15504, 909, 513, 4062, 540, 3009, 593, 1200, 15291, 780, 257, 2080, 781, 1018, 649, 3513, 798, 2437, 1352, 6045, 269, 834, 5575, 267, 649, 5581, 606, 5044, 540, 3615, 267, 1141, 1142, 1843, 4564, 513, 1114, 2825, 11036, 269, 3962, 1843, 786, 723, 1079, 3601, 281, 2387, 523, 16652, 25842, 12452, 799, 3800, 519, 5786, 538, 2910, 273, 5434, 538, 9748, 829, 1032, 267, 543, 2387, 21129, 2574, 25842, 12452, 799, 2982, 519, 2121, 1689, 538, 3790, 610, 9806, 538, 9489, 829, 1032, 3010, 9515, 4951, 873, 606, 1383, 1384, 3499, 329, 822, 2444, 2815, 454, 6247, 3527, 815, 1496, 454, 476, 13634, 825, 2012, 281, 1412, 18933, 3558, 547, 7791, 1648, 22779, 825, 2825, 25842, 281, 476, 2004, 2676, 825, 2883, 25842, 281, 910, 1911, 876, 454, 476, 7684, 2676, 476, 13634, 825, 2012, 281, 1412, 9743, 718, 1648, 18026, 14233, 22779, 825, 2825, 25842, 281, 476, 736, 2676, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 666, 594, 1711, 513, 1942, 1532, 523, 24674, 2079, 585, 2825, 7341, 1210, 10084, 29441, 3009, 286, 2052, 596, 1683, 513, 3009, 6256, 602, 3217, 883, 7156, 1312, 2883, 543, 2825, 5222, 540, 1142, 2962, 888, 26807, 569, 256, 3371, 568, 513, 3009, 6256, 602, 9727, 875, 547, 1711, 513, 1942, 1532, 523, 24674, 2079, 585, 2825, 7341, 1210, 10084, 29441, 912, 3499, 329, 822, 2444, 2815, 454, 2260, 16294, 519, 2825, 543, 2883, 5222, 540, 1142, 2962, 454, 6247, 3527, 815, 1496, 454, 476, 13634, 825, 2012, 281, 1412, 18933, 3558, 547, 7791, 1648, 22779, 825, 2825, 25842, 281, 476, 2004, 267, 12262, 538, 9748, 540, 2910, 273, 5434, 4389, 829, 1032, 454, 825, 2883, 25842, 281, 910, 1911, 876, 12262, 538, 9489, 829, 1032, 454, 476, 7684, 2676, 476, 13634, 825, 2012, 281, 1412, 9743, 718, 1648, 18026, 14233, 22779, 825, 2825, 25842, 281, 476, 736, 2676, 825, 2883, 25842, 281, 910, 4335, 271, 454, 476, 7684, 2676, 476, 13634, 825, 2012, 281, 1412, 24965, 576, 1957, 6165, 22779, 825, 2825, 25842, 281, 476, 276, 2676, 825, 2883, 25842, 281, 476, 1911, 271, 454, 476, 7684, 2676, 476, 13634, 825, 2012, 281, 1412, 9743, 718, 3859, 8440, 22779, 825, 2825, 25842, 281, 476, 1911, 2676, 825, 2883, 25842, 281, 910, 7742, 876, 454, 476, 7684, 454, 30092, 2260, 12433, 519, 2698, 2825, 543, 2883, 5222, 540, 782, 513, 10640, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 266, 271, 692, 258, 6435, 692, 271, 454, 25546, 454, 273, 692, 25405, 1408, 267, 8834, 543, 25909, 1185, 513, 4015, 540, 22827, 269, 8834, 543, 25909, 6394, 476, 280, 270, 1626, 540, 519, 22827, 1247, 12253, 543, 25909, 6394, 476, 274, 270, 275, 540, 519, 22827, 269, 8834, 543, 6424, 6394, 476, 4649, 22827, 15587, 269, 1215, 1082, 811, 22827, 1705, 25909, 2445, 982, 8834, 2496, 19878, 476, 277, 267, 476, 1708, 273, 692, 258, 272, 454, 266, 12553, 278, 3953, 454, 266, 272, 692, 24445, 519, 2698, 7089, 715, 692, 303, 1341, 594, 1109, 815, 630, 280, 270, 1626, 264, 301, 1109, 476, 1109, 20681, 1109, 476, 1109, 263, 4649, 910, 667, 264, 1341, 594, 1109, 815, 630, 280, 270, 1626, 264, 301, 1109, 7545, 630, 272, 2020, 291, 1341, 594, 815, 1109, 630, 274, 270, 275, 264, 301, 1109, 14632, 30336, 1109, 263, 273, 2020, 4649, 1341, 594, 1341, 594, 1109, 815, 1109, 630, 280, 270, 1626, 264, 301, 1341, 630, 274, 270, 275, 264, 301, 692, 4649, 1341, 476, 273, 296, 1109, 815, 1109, 476, 1109, 263, 2641, 270, 1626, 264, 301, 692, 273, 296, 1109, 815, 1109, 630, 2641, 270, 1626, 264, 301, 910, 1109, 476, 4649, 692, 296, 815, 1109, 630, 2641, 270, 3953, 264, 301, 910, 476, 4649, 270, 273, 692, 3383, 692, 296, 1341, 623, 1341, 667, 1109, 815, 1109, 715, 692, 263, 2641, 270, 3953, 264, 301, 1109, 910, 476, 4649, 270, 273, 1341, 1109, 476, 4649, 1109, 815, 1109, 715, 1109, 7545, 5231, 9062, 998, 676, 1109, 476, 3953, 692, 2641, 301, 1341, 476, 279, 3199, 1109, 815, 476, 3953, 301, 692, 279, 3199, 1109, 815, 1109, 476, 1556, 301, 692, 301, 815, 1109, 476, 3199, 692, 296, 815, 1109, 630, 2641, 270, 3953, 264, 2608, 3199, 1109, 910, 476, 4649, 270, 273, 815, 1109, 30336, 1109, 1839, 692, 303, 1341, 1109, 594, 815, 1109, 630, 280, 270, 1626, 264, 630, 3199, 264, 815, 1109, 476, 1109, 3393, 692, 303, 815, 476, 736, 692, 296, 910, 623, 1109, 25883, 1839, 1109, 910, 476, 736, 1109, 815, 1109, 476, 1109, 276, 692, 296, 7079, 1185, 476, 276, 811, 982, 8834, 692, 19878, 476, 277, 267, 476, 1708, 273, 454, 258, 273, 454, 266, 26801, 454, 266, 272, 692, 2171, 8263, 12253, 6394, 1535, 22827, 692, 30681, 6394, 586, 22827, 692, 296, 7079, 6394, 1990, 22827, 692, 3383, 586, 1341, 1990, 1341, 476, 280, 270, 1626, 630, 343, 1341, 586, 1341, 1990, 2020, 343, 1341, 1990, 815, 476, 274, 270, 275, 630, 343, 1341, 586, 1341, 1990, 2020, 343, 1341, 586, 815, 476, 4649, 692, 343, 815, 476, 3374, 692, 344, 815, 476, 736, 692, 345, 815, 476, 1839, 692, 3383, 1990, 910, 586, 815, 476, 1839, 910, 476, 736, 815, 476, 276, 692, 3383, 519, 2626, 568, 476, 276, 811, 22827, 25909, 6394, 982, 8834, 692, 19878, 476, 277, 267, 476, 1708, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5978, 8404, 6238, 689, 519, 1249, 602, 1702, 538, 519, 1158, 11179, 27372, 267, 543, 3976, 23835, 3098, 543, 1702, 13279, 616, 7361, 18106, 269, 1284, 8268, 27952, 2409, 267, 1210, 519, 2164, 607, 1007, 5452, 269, 769, 713, 1957, 649, 2232, 519, 1739, 1382, 2055, 912, 1692, 1281, 519, 18949, 539, 6389, 1702, 11457, 952, 519, 10457, 540, 835, 10868, 616, 16571, 1947, 1031, 607, 5452, 888, 1692, 1281, 519, 18949, 539, 6389, 1702, 3262, 32321, 888, 4692, 519, 1505, 581, 1031, 547, 8524, 519, 2250, 267, 1459, 267, 543, 2104, 540, 1702, 888, 4692, 519, 1505, 581, 1031, 547, 1265, 6932, 1702, 888, 296, 6394, 1934, 519, 1592, 540, 1250, 2328, 13522, 540, 519, 1101, 1614, 1883, 16694, 18531, 540, 519, 10554, 281, 5274, 538, 519, 31230, 10724, 4804, 630, 10111, 5055, 661, 269, 7935, 323, 2917, 267, 17368, 14665, 1133, 643, 4700, 31514, 5274, 32185, 3842, 7956, 14086, 543, 16843, 630, 10267, 978, 11809, 2967, 267, 1133, 643, 269, 13325, 264, 8641, 23830, 4804, 630, 297, 675, 15776, 330, 913, 322, 267, 18628, 543, 26964, 994, 7021, 835, 5479, 6517, 2170, 609, 1142, 824, 593, 519, 4155, 1169, 1554, 269, 3962, 9920, 814, 1010, 1378, 6117, 2511, 267, 799, 1223, 1764, 3106, 267, 4492, 4346, 543, 4155, 20316, 269, 11310, 827, 519, 6117, 2511, 540, 519, 9920, 1223, 581, 1031, 547, 5000, 968, 321, 21392, 892, 6117, 7180, 998, 7525, 5955, 1247, 6117, 267, 610, 676, 18440, 10081, 6142, 2560, 15566, 2542, 32010, 13910, 543, 10263, 5811, 1759, 593, 25676, 21540, 7695, 936, 15870, 6176, 998, 24296, 10967, 14876, 4804, 454, 293, 320, 4306, 1107, 22960, 11576, 532, 5303, 1107, 568, 513, 1788, 5921, 547, 1374, 267, 4603, 609, 267, 543, 2936, 606, 23559, 1907, 602, 1223, 6895, 543, 5659, 519, 2534, 540, 7969, 6932, 22960, 12478, 593, 1514, 2923, 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 ]
[ 0, 2026, 649, 1847, 883, 519, 3791, 3018, 540, 1153, 543, 3025, 3587, 811, 26224, 547, 519, 3232, 1153, 13467, 267, 649, 7618, 3885, 602, 2834, 1153, 20343, 568, 835, 540, 519, 1034, 1271, 2188, 602, 666, 723, 513, 2318, 1764, 593, 2875, 9740, 563, 10932, 2982, 602, 7508, 476, 1015, 2600, 540, 519, 1153, 1032, 267, 610, 827, 476, 1240, 2395, 538, 1034, 1153, 13102, 267, 11874, 5540, 513, 2875, 781, 4081, 2773, 269, 2334, 781, 1175, 1079, 2395, 513, 3923, 543, 602, 781, 1634, 607, 5312, 9000, 269, 3683, 519, 1576, 540, 513, 2875, 781, 1153, 4876, 267, 1346, 14406, 2395, 666, 2731, 1039, 909, 563, 1103, 824, 1913, 267, 950, 1053, 4413, 1153, 267, 789, 4413, 856, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2467, 616, 1082, 2081, 10720, 1216, 666, 1831, 26911, 269, 5565, 540, 519, 1034, 1455, 2081, 1131, 581, 689, 13479, 726, 6979, 610, 17061, 540, 19826, 27627, 269, 1452, 1079, 2010, 540, 10720, 17061, 666, 12962, 519, 1216, 3039, 267, 2699, 267, 4544, 267, 610, 6960, 269, 1411, 786, 1419, 1616, 547, 2057, 12647, 602, 723, 606, 12150, 2681, 607, 789, 1419, 616, 711, 2922, 547, 7669, 538, 563, 2005, 568, 3339, 585, 10720, 1216, 547, 581, 1114, 4778, 4470, 593, 519, 4478, 20569, 269, 25115, 538, 519, 4478, 3037, 543, 6149, 666, 2681, 519, 1216, 269, 1280, 1383, 267, 4401, 12074, 786, 2014, 519, 10720, 1216, 547, 581, 513, 15309, 2681, 269, 3958, 267, 17735, 5536, 267, 2030, 2208, 543, 14471, 666, 1689, 519, 5920, 540, 10720, 1216, 269, 901, 4386, 1317, 540, 519, 1689, 538, 875, 519, 1216, 547, 25309, 543, 9356, 1769, 563, 12812, 1934, 547, 22599, 16253, 563, 28989, 267, 4263, 713, 942, 3593, 14261, 568, 16981, 269, 1284, 786, 1930, 14261, 4166, 2336, 10673, 1405, 723, 606, 2272, 286, 8437, 3371, 547, 6178, 1575, 454, 15100, 14645, 5682, 9172, 9955, 2593, 20941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4322, 1762, 3744, 616, 2870, 5499, 3435, 585, 2042, 538, 519, 13372, 267, 28950, 807, 2443, 543, 3564, 2986, 782, 3621, 1382, 5342, 1063, 476, 1001, 278, 543, 476, 1708, 272, 267, 476, 1789, 260, 568, 2047, 1644, 547, 519, 6167, 12655, 4886, 17644, 267, 609, 2916, 1689, 519, 1034, 20965, 14976, 572, 22609, 7690, 11061, 585, 8693, 11059, 7028, 3435, 25700, 1382, 282, 23602, 1445, 593, 5068, 5533, 267, 7791, 1648, 543, 4008, 9698, 454, 20458, 1689, 568, 711, 1175, 606, 2825, 3390, 267, 621, 568, 1360, 1454, 513, 1514, 543, 575, 25311, 835, 1932, 269, 6468, 543, 6690, 616, 811, 7925, 547, 519, 2360, 540, 2916, 1689, 982, 2367, 267, 543, 2943, 789, 616, 1419, 2451, 856, 540, 3375, 6194, 3157, 593, 2916, 4507, 563, 12867, 689, 5824, 3013, 2911, 827, 741, 2591, 607, 2021, 538, 2257, 543, 875, 547, 960, 609, 519, 2923, 5103, 3908, 2200, 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 ]
[ 0, 28495, 1722, 9218, 543, 20676, 31638, 454, 268, 562, 269, 1230, 576, 531, 618, 269, 6423, 1349, 563, 268, 562, 269, 589, 2165, 1031, 538, 519, 5717, 540, 519, 27867, 2540, 547, 1374, 622, 2441, 781, 15896, 540, 10143, 9631, 30876, 582, 775, 543, 10143, 9631, 23036, 7220, 267, 609, 6857, 27047, 842, 538, 519, 946, 540, 873, 563, 268, 562, 269, 7350, 634, 2702, 540, 606, 11248, 547, 2057, 8343, 454, 2108, 322, 787, 24247, 2437, 610, 519, 2702, 540, 606, 11248, 547, 11100, 883, 922, 10450, 630, 663, 3976, 2057, 32456, 1040, 7536, 2108, 5194, 2442, 1106, 540, 17932, 787, 538, 2371, 543, 2831, 568, 3956, 24247, 267, 519, 1148, 540, 10703, 531, 618, 3034, 28317, 2821, 3901, 1143, 568, 538, 4334, 609, 3956, 24247, 267, 610, 1346, 14624, 4543, 547, 10703, 531, 513, 10352, 6221, 3034, 24685, 2831, 267, 24795, 4805, 616, 711, 6190, 547, 1198, 3956, 24247, 607, 4282, 12805, 2623, 568, 849, 4105, 3034, 10527, 15556, 540, 519, 811, 6939, 545, 630, 31748, 28190, 3042, 264, 29700, 18613, 741, 3237, 630, 22363, 640, 1070, 865, 7930, 519, 2681, 540, 519, 2551, 1743, 22284, 4724, 811, 3956, 24247, 3034, 2108, 15703, 2090, 723, 3254, 602, 3956, 24247, 543, 17932, 787, 24705, 513, 16496, 5413, 1996, 3308, 11975, 476, 273, 3034, 22154, 3932, 568, 2417, 22541, 676, 519, 6228, 540, 1082, 5552, 725, 540, 6529, 268, 543, 6978, 6438, 3956, 24247, 538, 2713, 7786, 3034, 28490, 606, 4603, 568, 1500, 547, 1397, 3956, 24247, 814, 513, 16496, 5413, 267, 621, 1590, 581, 25768, 610, 535, 8898, 890, 653, 1229, 26615, 4896, 18313, 18658, 717, 9529, 577, 28704, 4667, 547, 17538, 568, 602, 968, 572, 3005, 892, 568, 513, 1463, 1267, 540, 968, 8114, 12009, 6464, 892, 543, 711, 267, 538, 519, 1913, 540, 717, 746, 267, 968, 322, 787, 24247, 892, 3034, 2108, 294, 9529, 577, 28704, 849, 19286, 730, 519, 11976, 540, 4853, 14264, 1143, 543, 6069, 7653, 602, 8179, 519, 13261, 1871, 540, 4158, 2681, 711, 2047, 538, 3956, 24247, 1996, 3308, 11975, 267, 855, 18549, 607, 519, 676, 1790, 20094, 540, 10894, 1689, 602, 15868, 519, 30746, 547, 3049, 2390, 2371, 16041, 609, 4853, 6464, 3034, 4322, 3593, 29931, 730, 8638, 2270, 519, 2262, 2048, 322, 787, 24247, 17483, 288, 10169, 25641, 1592, 540, 1913, 543, 2453, 6394, 585, 741, 552, 25045, 4577, 610, 9095, 2033, 9029, 267, 4277, 29721, 267, 610, 13801, 4214, 540, 606, 6382, 796, 24887, 7613, 610, 1523, 563, 19185, 585, 17408, 1115, 585, 3956, 24247, 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 ]
[ 0, 258, 715, 732, 330, 454, 258, 476, 272, 454, 3698, 7887, 318, 11274, 23544, 10857, 560, 2187, 825, 7887, 23544, 815, 476, 271, 454, 825, 585, 1003, 538, 2039, 263, 271, 267, 7003, 10857, 560, 1070, 476, 273, 2187, 1038, 952, 2612, 10857, 560, 314, 11133, 316, 910, 32102, 314, 11133, 1341, 476, 272, 8079, 3436, 7887, 23544, 912, 2018, 7887, 23544, 815, 2612, 10857, 560, 314, 11133, 316, 910, 32102, 314, 11133, 1341, 476, 272, 7481, 825, 2132, 7887, 23544, 692, 2745, 6357, 580, 7465, 318, 11274, 23544, 8443, 276, 267, 280, 267, 273, 267, 1321, 267, 276, 267, 279, 8079, 2020, 258, 476, 273, 454, 3698, 1293, 15058, 4671, 342, 657, 3799, 2187, 825, 737, 815, 476, 271, 454, 825, 585, 795, 538, 2039, 3799, 2187, 1038, 952, 1412, 273, 262, 538, 1193, 27203, 2187, 2018, 737, 6834, 1193, 27203, 1040, 12248, 3488, 273, 5073, 825, 2132, 737, 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 ]
[ 0, 288, 7616, 1907, 1572, 9796, 1306, 1411, 16440, 630, 5183, 22076, 264, 568, 5497, 547, 5000, 9541, 538, 7791, 543, 1648, 18026, 4066, 269, 2060, 713, 3860, 1907, 267, 6800, 949, 8804, 1648, 18175, 10232, 543, 2628, 1394, 519, 5092, 936, 942, 676, 4227, 741, 1648, 3790, 563, 763, 2856, 3297, 9796, 1306, 1411, 16440, 568, 602, 519, 3355, 5092, 538, 1648, 18026, 3800, 267, 971, 607, 16459, 13471, 543, 21130, 14233, 568, 6976, 585, 269, 11426, 619, 666, 1118, 1648, 9283, 1510, 1651, 584, 2590, 1713, 909, 1922, 3224, 10997, 563, 1432, 568, 9796, 1306, 1411, 16440, 8750, 532, 888, 11854, 1136, 540, 9796, 1306, 1411, 16440, 7616, 267, 519, 909, 12506, 7616, 2838, 585, 519, 1648, 18175, 10232, 568, 1419, 3177, 676, 513, 3791, 18407, 8804, 11769, 269, 2991, 602, 267, 519, 3593, 17188, 1394, 519, 14104, 998, 606, 2799, 10626, 3915, 5279, 267, 799, 568, 13604, 15558, 676, 519, 1648, 9806, 4547, 827, 676, 519, 18175, 10232, 269, 2060, 713, 11460, 267, 6800, 666, 7443, 1318, 2476, 689, 2539, 1648, 9276, 1247, 5555, 973, 537, 4771, 741, 3355, 5092, 563, 1432, 616, 9796, 1306, 1411, 16440, 9978, 14210, 1115, 888, 763, 2596, 28975, 616, 912, 272, 269, 6052, 9806, 1058, 581, 6190, 547, 3382, 14104, 3790, 267, 7863, 6800, 689, 6397, 9276, 269, 634, 11033, 616, 1305, 909, 865, 602, 519, 7082, 1058, 1995, 2318, 2121, 6666, 2095, 1317, 519, 10865, 9806, 593, 1648, 3790, 1058, 20546, 519, 2799, 5279, 563, 273, 269, 901, 1907, 16881, 519, 10073, 540, 7791, 1648, 543, 1648, 4398, 3800, 676, 5356, 513, 15164, 7616, 1505, 267, 14027, 6940, 6859, 267, 543, 16715, 8511, 3154, 5434, 563, 274, 269, 6271, 2596, 1249, 827, 9796, 1306, 1411, 16440, 568, 602, 621, 814, 1044, 8045, 538, 513, 3099, 540, 2081, 782, 1472, 519, 1158, 267, 4749, 538, 11450, 609, 10626, 7426, 267, 6237, 6608, 267, 610, 2883, 5238, 269, 1452, 7341, 3343, 547, 4894, 519, 2883, 9465, 602, 1082, 1004, 543, 3549, 723, 950, 7598, 1648, 18026, 4066, 543, 7791, 1648, 2959, 563, 27775, 2105, 281, 1548, 568, 2201, 5174, 650, 5685, 3496, 630, 15477, 293, 21663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 898, 729, 513, 13566, 1554, 543, 16092, 729, 9361, 593, 1200, 11188, 577, 3843, 547, 4194, 513, 11015, 269, 4173, 4587, 7015, 267, 7665, 267, 3357, 3544, 8066, 513, 1433, 827, 519, 21396, 269, 1261, 726, 641, 6244, 1524, 1985, 547, 16092, 543, 1767, 267, 968, 12441, 596, 917, 602, 519, 16727, 10632, 3323, 936, 476, 273, 267, 1822, 1296, 3516, 9495, 692, 297, 600, 773, 6743, 909, 689, 1200, 11015, 267, 8049, 269, 968, 3725, 958, 286, 1548, 1705, 789, 798, 1394, 1287, 9495, 1352, 4280, 780, 16655, 8118, 1010, 1433, 543, 1224, 16965, 267, 968, 1103, 519, 3504, 5259, 16727, 10632, 267, 1152, 1762, 2367, 1223, 7119, 269, 1358, 1131, 14526, 538, 2621, 971, 607, 4881, 267, 17259, 267, 543, 32702, 14325, 297, 600, 773, 2219, 585, 513, 4090, 543, 1287, 4280, 267, 968, 1432, 827, 2021, 543, 3214, 286, 4208, 7948, 1406, 789, 6443, 1932, 9495, 692, 16655, 695, 809, 1010, 2212, 269, 968, 12988, 1287, 267, 6690, 543, 8695, 14201, 1406, 4847, 547, 1404, 1927, 538, 19194, 269, 21989, 1185, 741, 1378, 5094, 3756, 1572, 4173, 2801, 320, 267, 6131, 547, 519, 15831, 4173, 320, 2223, 646, 6045, 780, 30342, 25922, 267, 16092, 521, 19042, 269, 968, 6546, 779, 865, 15490, 256, 15526, 1058, 1205, 513, 4960, 547, 1404, 543, 3094, 1199, 1023, 256, 10640, 9617, 1287, 267, 16092, 3893, 606, 2856, 269, 2701, 29860, 1055, 1200, 11381, 543, 10443, 3330, 269, 589, 1906, 3764, 2663, 267, 1352, 8120, 609, 513, 4216, 2407, 540, 11442, 5515, 1107, 28359, 267, 7914, 619, 267, 7669, 11302, 267, 1256, 1236, 4536, 269, 8625, 267, 16092, 543, 7665, 2813, 741, 1360, 1378, 9910, 14114, 9805, 923, 267, 18136, 782, 741, 2828, 267, 7488, 540, 2085, 610, 4008, 269, 1656, 4352, 930, 3652, 2877, 11941, 2059, 519, 1259, 267, 3025, 8815, 910, 621, 729, 1454, 811, 1187, 950, 3025, 5129, 1927, 2439, 2026, 546, 23677, 8593, 267, 1247, 512, 958, 532, 8464, 267, 16092, 7691, 1945, 1271, 269, 4634, 1498, 789, 1500, 2242, 547, 1577, 16764, 2972, 519, 3756, 267, 1346, 3312, 21396, 1869, 20974, 1229, 1317, 789, 9788, 519, 5748, 585, 1018, 649, 8661, 2221, 269, 3807, 899, 875, 2038, 3744, 3710, 2390, 1142, 824, 781, 960, 547, 4434, 938, 1620, 540, 519, 1158, 269, 6884, 1919, 991, 547, 11457, 543, 3082, 585, 3356, 267, 2943, 1565, 689, 1686, 2337, 721, 1118, 1732, 3664, 2509, 14619, 543, 13784, 538, 1312, 5026, 543, 13241, 4610, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 14881, 6415, 2921, 513, 1449, 543, 723, 547, 7058, 519, 1318, 2626, 547, 519, 2243, 1310, 519, 2376, 269, 9137, 281, 5272, 2185, 1296, 9845, 689, 519, 1158, 1491, 851, 538, 519, 16727, 10632, 269, 5637, 519, 14400, 543, 15604, 16727, 10632, 616, 4371, 1169, 2185, 1296, 269, 634, 15604, 16727, 10632, 616, 2356, 4371, 1079, 1296, 1354, 519, 14400, 16727, 10632, 269, 634, 3504, 16727, 10632, 3459, 1472, 519, 1032, 476, 6507, 277, 7460, 538, 10255, 269, 3509, 540, 519, 5026, 941, 519, 1482, 607, 789, 616, 1631, 269, 2368, 540, 519, 3756, 538, 799, 519, 1762, 2367, 2841, 539, 941, 281, 4881, 267, 17259, 267, 543, 32702, 269, 6468, 941, 711, 4847, 547, 1491, 851, 538, 519, 3756, 269, 2991, 827, 519, 1032, 476, 4375, 274, 5084, 519, 16727, 10632, 11074, 269, 1280, 5553, 972, 941, 1100, 16727, 10632, 269, 1809, 789, 941, 711, 16618, 269, 476, 634, 1101, 16727, 10632, 538, 2413, 2053, 5949, 538, 476, 6245, 277, 269, 1358, 941, 4371, 538, 10255, 734, 1492, 2197, 538, 799, 519, 10632, 941, 4535, 269, 538, 519, 10632, 972, 941, 476, 25313, 15712, 689, 476, 1724, 2477, 269, 2991, 602, 811, 543, 811, 2477, 8678, 538, 519, 10632, 269, 769, 476, 1220, 271, 267, 936, 476, 1015, 267, 1822, 9845, 689, 476, 25375, 2477, 4682, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 8827, 24998, 2187, 825, 1219, 1003, 307, 4181, 4311, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 1948, 634, 2856, 568, 547, 8237, 519, 2338, 538, 547, 6287, 1016, 4054, 454, 1038, 1948, 1280, 1383, 267, 952, 562, 284, 274, 267, 649, 786, 1491, 835, 1003, 607, 3597, 2676, 1038, 1948, 543, 519, 1948, 540, 9136, 538, 1079, 5705, 4181, 786, 581, 476, 273, 281, 271, 267, 476, 272, 281, 272, 2676, 1038, 1948, 610, 476, 271, 281, 273, 563, 1038, 1003, 4671, 4181, 815, 1496, 272, 267, 476, 272, 2639, 1038, 585, 1775, 538, 1535, 9792, 263, 273, 267, 562, 266, 272, 2187, 2018, 10917, 23544, 815, 476, 271, 454, 2018, 585, 795, 538, 1535, 9792, 263, 271, 267, 1775, 2187, 3546, 10917, 23544, 6834, 1003, 4671, 4181, 14728, 316, 2608, 1003, 4671, 4181, 5157, 18191, 268, 272, 2639, 2018, 1003, 4671, 4181, 6910, 6025, 11391, 23544, 994, 13872, 1038, 1820, 1003, 4671, 4181, 454, 1038, 2132, 1003, 4671, 4181, 19559, 6540, 338, 815, 8827, 4590, 2745, 521, 8542, 636, 307, 4181, 263, 274, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17954, 12858, 27632, 817, 2863, 328, 538, 3824, 956, 324, 1019, 20182, 3828, 626, 267, 6424, 21019, 7615, 552, 10434, 8648, 630, 272, 533, 2602, 3898, 334, 2703, 994, 291, 1157, 839, 281, 20182, 3828, 626, 563, 763, 3209, 5956, 538, 519, 2038, 476, 5197, 271, 269, 589, 1762, 4807, 21128, 693, 513, 960, 5264, 538, 513, 1507, 4884, 5087, 540, 5507, 267, 1934, 1352, 3947, 4332, 547, 513, 7911, 543, 1287, 10523, 269, 634, 1126, 568, 2016, 519, 2012, 20182, 3828, 626, 543, 568, 2322, 883, 513, 960, 5264, 29152, 720, 2394, 519, 2085, 540, 8370, 267, 950, 646, 779, 11843, 547, 519, 960, 5264, 3294, 269, 3371, 782, 519, 1762, 8695, 616, 14605, 10480, 269, 2290, 540, 519, 12558, 540, 713, 3209, 3217, 1747, 693, 7594, 942, 538, 519, 1804, 6149, 10689, 538, 799, 519, 8695, 616, 10480, 267, 538, 1249, 1142, 7911, 814, 1152, 835, 8670, 543, 1100, 811, 267, 865, 789, 616, 865, 17237, 602, 22946, 513, 14643, 538, 799, 789, 6430, 945, 1058, 3802, 909, 547, 519, 4487, 547, 2307, 811, 1426, 267, 543, 621, 8593, 547, 20182, 269, 1261, 3976, 2307, 585, 811, 1426, 543, 519, 6547, 547, 1010, 7662, 616, 896, 1467, 676, 519, 2278, 945, 6499, 547, 1448, 856, 602, 20182, 568, 2015, 547, 581, 513, 7803, 1317, 646, 22557, 909, 1996, 6392, 563, 7661, 20182, 568, 29802, 543, 786, 581, 6133, 585, 2947, 6550, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3816, 8221, 6207, 1871, 4191, 950, 6061, 11186, 4834, 543, 3586, 3435, 692, 2691, 6061, 519, 11186, 3830, 3230, 344, 262, 815, 476, 272, 3917, 317, 273, 2330, 596, 1205, 519, 3070, 3230, 24689, 2765, 26635, 266, 272, 2410, 344, 268, 272, 348, 347, 815, 9919, 3867, 273, 343, 6525, 1411, 666, 1287, 4894, 519, 6207, 1871, 1129, 676, 4657, 595, 547, 513, 1007, 737, 517, 560, 656, 1269, 298, 815, 1422, 10975, 595, 10608, 1809, 1946, 568, 713, 286, 594, 4312, 1044, 10010, 2731, 2182, 547, 9787, 713, 1523, 267, 543, 594, 6415, 849, 4466, 621, 2182, 547, 723, 606, 16022, 1620, 540, 1018, 519, 6207, 1871, 1129, 2965, 1797, 18374, 538, 713, 2796, 269, 1548, 1131, 1131, 581, 519, 3017, 1063, 2348, 519, 6207, 1871, 1129, 4478, 938, 6824, 543, 621, 711, 1373, 972, 2496, 9827, 267, 594, 4312, 1044, 5143, 519, 519, 1482, 11186, 3830, 849, 814, 519, 1079, 3586, 3070, 1269, 298, 815, 1422, 10975, 476, 272, 10608, 3245, 1018, 1775, 1174, 3586, 3435, 616, 1336, 676, 4259, 1269, 312, 815, 918, 8961, 855, 1018, 798, 789, 2965, 1611, 267, 543, 1018, 798, 596, 798, 952, 972, 568, 606, 1535, 538, 519, 3830, 2496, 1892, 2328, 3230, 324, 3867, 273, 343, 266, 290, 13157, 324, 3867, 273, 343, 4153, 10383, 552, 3867, 290, 6525, 543, 1305, 3230, 324, 3867, 290, 13157, 290, 262, 2330, 1107, 1109, 7804, 269, 12312, 333, 14551, 3400, 889, 1676, 8734, 476, 3066, 1412, 1704, 693, 476, 1240, 281, 6021, 454, 1892, 594, 1810, 1405, 1294, 875, 602, 2337, 4894, 519, 6207, 1871, 1129, 269, 1107, 1109, 303, 877, 8734, 476, 3066, 1412, 1704, 693, 476, 1240, 281, 1839, 454, 1892, 596, 666, 2328, 3230, 8987, 272, 264, 290, 262, 284, 290, 5257, 2330, 1107, 1109, 7804, 269, 12312, 333, 14551, 3400, 889, 1676, 8734, 476, 3066, 1412, 1704, 693, 476, 1240, 281, 2918, 454, 1892, 8786, 267, 602, 338, 875, 596, 979, 827, 9427, 519, 6207, 1871, 1129, 899, 1775, 4330, 538, 1250, 2022, 269, 634, 1966, 568, 1775, 1810, 1405, 1294, 1946, 621, 1568, 269, 1107, 1109, 303, 877, 8734, 476, 3066, 1412, 1704, 693, 476, 1240, 281, 7871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5569, 454, 5228, 17511, 1104, 5903, 7531, 5035, 28762, 8944, 912, 825, 1219, 6449, 8181, 9191, 1345, 264, 9847, 630, 2187, 1038, 1582, 6155, 1112, 815, 2715, 10926, 825, 1219, 1039, 4311, 267, 2012, 281, 5569, 267, 3237, 281, 5903, 815, 7183, 264, 9847, 7183, 912, 1038, 1582, 6155, 1112, 314, 4067, 316, 815, 3237, 692, 825, 1219, 568, 318, 21710, 318, 5228, 4311, 267, 6508, 281, 5569, 267, 3490, 281, 5569, 264, 9847, 536, 944, 912, 1038, 952, 6508, 711, 538, 1582, 6155, 1112, 912, 2018, 2132, 8771, 454, 1038, 952, 6508, 2652, 3490, 912, 2018, 2132, 6936, 454, 1038, 585, 533, 538, 1582, 6155, 1112, 314, 21710, 14158, 2018, 952, 533, 2652, 3490, 610, 1582, 18994, 318, 21710, 318, 5228, 9638, 267, 3490, 2187, 3546, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 568, 10734, 848, 15058, 4311, 267, 3490, 281, 5569, 267, 6508, 281, 5569, 264, 9847, 536, 944, 912, 1038, 2132, 1582, 18994, 318, 21710, 318, 5228, 263, 21710, 267, 3490, 9239, 3698, 1612, 572, 318, 3698, 6873, 263, 3698, 6873, 281, 5569, 264, 9847, 630, 11415, 267, 32582, 2187, 825, 952, 834, 281, 257, 711, 538, 4214, 912, 1038, 2132, 4214, 14714, 8692, 19572, 11713, 825, 2012, 267, 13279, 815, 4214, 21858, 2891, 24333, 476, 272, 994, 825, 2132, 2012, 14714, 8692, 19572, 13279, 14714, 8692, 14061, 20889, 2891, 834, 9239, 3698, 1612, 572, 318, 7528, 652, 263, 516, 336, 281, 5569, 264, 9847, 630, 11415, 267, 5569, 2187, 825, 3490, 267, 6508, 815, 556, 336, 14714, 8692, 14061, 20889, 2891, 14307, 476, 272, 994, 825, 2132, 3490, 267, 6508, 7531, 3698, 1292, 10031, 825, 554, 815, 28762, 8944, 4590, 825, 585, 6449, 538, 2039, 17301, 9272, 3890, 15892, 1038, 1362, 12173, 267, 3237, 815, 1612, 572, 318, 3698, 6873, 9272, 15405, 1038, 554, 14491, 263, 5035, 12173, 267, 3237, 994, 825, 585, 6449, 538, 2039, 17301, 9272, 3890, 15892, 1038, 536, 267, 546, 815, 1612, 572, 318, 7528, 652, 9272, 15405, 1038, 2626, 815, 834, 8133, 257, 952, 554, 18994, 10734, 848, 15058, 6357, 267, 546, 264, 3116, 834, 5591, 4840, 1038, 1820, 263, 24987, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 681, 22044, 2335, 7533, 3959, 6169, 692, 28415, 569, 4503, 269, 594, 917, 594, 723, 547, 946, 519, 24101, 543, 621, 568, 606, 552, 27432, 18232, 6169, 267, 855, 824, 982, 602, 267, 594, 993, 11821, 780, 2690, 1022, 681, 22044, 2335, 1599, 630, 328, 4318, 1421, 585, 1022, 15652, 540, 4399, 282, 314, 320, 14720, 316, 20939, 259, 2187, 11377, 8999, 3709, 1475, 315, 18773, 13448, 1475, 315, 1729, 476, 271, 12917, 22396, 7565, 322, 10983, 7565, 343, 10983, 14870, 3709, 328, 268, 272, 348, 6661, 322, 315, 8999, 3709, 1475, 315, 18773, 13448, 1475, 315, 1729, 476, 271, 348, 325, 6262, 10983, 7565, 343, 10983, 14870, 3709, 328, 268, 272, 348, 14638, 454, 22428, 1269, 322, 284, 271, 259, 1287, 519, 11532, 568, 24735, 269, 3767, 952, 1269, 322, 1422, 928, 336, 476, 271, 8961, 1577, 4399, 15883, 284, 1422, 8999, 3709, 329, 284, 272, 11892, 333, 22396, 6262, 19553, 9385, 18773, 1535, 19553, 284, 322, 315, 8999, 3709, 329, 284, 272, 11892, 333, 325, 6262, 19553, 9385, 18773, 1535, 19553, 8961, 1141, 4399, 18773, 1535, 19553, 24210, 19553, 14870, 3709, 329, 268, 272, 20954, 4063, 602, 4399, 15883, 259, 568, 519, 681, 22044, 2335, 2040, 540, 1269, 22396, 10608, 3767, 2094, 1269, 325, 259, 568, 2076, 571, 1076, 649, 1631, 602, 585, 1169, 4399, 29166, 27432, 285, 271, 8961, 3230, 24689, 8999, 3709, 329, 284, 272, 11892, 333, 325, 6262, 19553, 9385, 18773, 1535, 19553, 10559, 842, 3709, 320, 11892, 8578, 11459, 347, 283, 1422, 2765, 1422, 29166, 27432, 2715, 347, 322, 347, 6525, 585, 930, 15652, 1269, 303, 10608, 5564, 28745, 519, 8635, 676, 1269, 347, 322, 347, 259, 596, 1205, 1269, 24689, 8999, 3709, 329, 284, 272, 11892, 333, 22396, 6262, 19553, 9385, 18773, 1535, 19553, 2275, 315, 842, 3709, 320, 11892, 8578, 11459, 347, 283, 1422, 29166, 27432, 259, 1287, 1269, 24689, 15883, 2275, 315, 842, 3709, 320, 11892, 8578, 11459, 347, 283, 1422, 29166, 27432, 259, 585, 513, 15652, 1269, 303, 259, 713, 2982, 602, 519, 1599, 1269, 22396, 259, 262, 338, 681, 22044, 2335, 2040, 4780, 2471, 547, 1269, 322, 315, 842, 3709, 320, 11892, 8578, 11459, 259, 2073, 8754, 1269, 22396, 259, 568, 681, 22044, 2335, 2076, 571, 1076, 543, 4399, 842, 3709, 320, 11892, 321, 22396, 11459, 284, 322, 315, 842, 3709, 320, 11892, 8578, 11459, 10608 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20593, 1154, 31353, 547, 17773, 281, 3487, 645, 692, 1103, 3487, 589, 540, 713, 3992, 267, 649, 4718, 875, 547, 6460, 513, 2165, 3215, 8918, 1297, 547, 513, 6824, 269, 1403, 513, 8918, 568, 18110, 630, 514, 824, 1913, 267, 1310, 513, 1247, 267, 930, 4806, 540, 9704, 28197, 936, 543, 936, 1070, 1287, 649, 723, 547, 946, 513, 1114, 4640, 780, 4131, 1269, 301, 259, 581, 519, 1297, 267, 543, 1577, 1269, 333, 259, 581, 519, 1297, 540, 9704, 538, 519, 18110, 3625, 269, 1280, 1383, 10484, 259, 271, 269, 4905, 315, 23637, 7758, 346, 382, 363, 2410, 10695, 10592, 13757, 1269, 273, 259, 9704, 538, 519, 18110, 3625, 267, 6466, 692, 259, 271, 269, 4905, 315, 23637, 7758, 346, 382, 363, 2410, 10695, 10592, 13757, 1152, 1269, 272, 259, 16317, 30787, 1269, 301, 259, 3160, 547, 922, 1871, 267, 9062, 1312, 5011, 540, 519, 3830, 676, 20270, 1015, 8703, 333, 4151, 1547, 3973, 10208, 1269, 301, 259, 689, 1312, 5011, 269, 1411, 786, 1439, 909, 609, 606, 3830, 799, 596, 666, 4194, 585, 1269, 301, 259, 607, 513, 27847, 1871, 780, 7078, 1384, 3519, 3200, 519, 8918, 692, 259, 271, 269, 4905, 315, 23637, 7758, 346, 382, 363, 2410, 10695, 10592, 20041, 513, 6824, 780, 9359, 609, 519, 3830, 1384, 259, 301, 284, 271, 269, 4905, 315, 23637, 7758, 346, 382, 363, 2410, 10695, 10592, 2467, 616, 1079, 9704, 538, 519, 18110, 3625, 267, 865, 9062, 1312, 5011, 676, 20270, 1015, 8703, 273, 13157, 1911, 259, 16317, 259, 1911, 301, 284, 272, 26142, 23637, 7758, 346, 382, 363, 2410, 10695, 10592, 3086, 10208, 1269, 301, 259, 689, 1312, 5011, 269, 18564, 602, 519, 18110, 851, 666, 26118, 856, 780, 7445, 8218, 15204, 2410, 331, 348, 1911, 301, 284, 272, 26142, 23637, 7758, 346, 382, 363, 2410, 10695, 27874, 1422, 1495, 619, 564, 346, 318, 7346, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 301, 284, 271, 269, 4905, 315, 23637, 7758, 346, 382, 363, 2410, 10695, 3686, 11138, 1422, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 14990, 3667, 3189, 24264, 346, 271, 269, 1704, 655, 3686, 4200, 301, 284, 272, 269, 11025, 17910, 15204, 10592, 19667, 728, 1312, 5011, 676, 1269, 4200, 259, 2073, 9062, 19362, 543, 14009, 676, 513, 1379, 540, 1269, 1015, 259, 547, 1205, 7759, 540, 519, 8918, 1448, 267, 543, 14458, 780, 259, 301, 7807, 2765, 346, 272, 269, 11025, 2410, 4200, 18098, 2765, 346, 9264, 2410, 31275, 271, 18098, 2765, 346, 11011, 2410, 275, 4817, 271, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 1923, 7726, 476, 3607, 692, 763, 476, 279, 628, 2165, 540, 513, 13382, 568, 476, 1626, 2053, 519, 476, 275, 628, 2165, 269, 1548, 786, 581, 519, 1101, 2165, 950, 922, 15795, 2165, 568, 476, 5038, 563, 10490, 264, 476, 273, 454, 16360, 264, 476, 274, 454, 18154, 264, 476, 275, 454, 20573, 264, 476, 276, 692, 15008, 281, 1284, 917, 32671, 2165, 540, 13382, 815, 818, 333, 268, 272, 454, 279, 628, 2165, 815, 818, 278, 543, 476, 275, 628, 2165, 815, 541, 274, 454, 11693, 602, 454, 541, 278, 815, 476, 1626, 541, 274, 454, 27784, 678, 275, 815, 476, 1626, 454, 27784, 678, 815, 476, 273, 454, 11693, 818, 276, 815, 476, 5038, 454, 1584, 1871, 540, 678, 1657, 454, 320, 263, 273, 264, 276, 815, 476, 5038, 454, 320, 815, 476, 5038, 270, 3953, 815, 476, 273, 454, 17798, 267, 1101, 2165, 540, 519, 13382, 568, 476, 273, 780, 5226, 714, 540, 713, 7726, 454, 8923, 6085, 2630, 952, 596, 1265, 4376, 4636, 538, 519, 1657, 2022, 692, 7069, 9608, 11872, 15561, 5091, 1886, 318, 1575, 454, 20684, 16193, 10778, 20797, 16193, 23241, 6826, 519, 3689, 547, 909, 341, 1774, 780, 8923, 2328, 547, 721, 693, 3565, 287, 613, 4060, 1721, 613, 4060, 3820, 547, 1867, 1022, 3390, 609, 519, 1657, 1543, 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 ]
[ 0, 258, 1548, 616, 519, 1611, 543, 3044, 11539, 540, 513, 5506, 5860, 1599, 2016, 676, 2398, 11583, 284, 330, 264, 815, 630, 3199, 317, 651, 28260, 3199, 19422, 330, 14386, 476, 585, 737, 538, 2715, 271, 267, 272, 267, 273, 1862, 522, 334, 348, 2496, 12914, 476, 1704, 267, 476, 1001, 277, 692, 259, 292, 1422, 3847, 11583, 9368, 264, 815, 476, 3199, 2073, 966, 513, 678, 1422, 3847, 11583, 9368, 264, 815, 476, 3199, 14204, 259, 338, 546, 815, 1422, 6912, 346, 3199, 10592, 2971, 19247, 1384, 303, 3287, 284, 330, 6661, 263, 3199, 317, 651, 28260, 3199, 19422, 330, 14386, 2073, 737, 538, 2715, 271, 267, 272, 267, 273, 267, 274, 32465, 5622, 10926, 529, 513, 7313, 24480, 3892, 267, 519, 3044, 4542, 1373, 1384, 303, 3287, 284, 330, 6661, 263, 14433, 317, 651, 28260, 14433, 19422, 330, 256, 1070, 737, 538, 2715, 271, 267, 272, 267, 273, 267, 274, 32465, 5622, 10926, 1492, 1611, 543, 13065, 616, 2016, 676, 692, 259, 292, 1422, 3847, 11583, 9368, 264, 815, 1422, 14433, 14204, 259, 309, 513, 678, 1422, 3847, 11583, 9368, 264, 815, 1422, 14433, 14204, 1492, 6169, 540, 891, 2164, 666, 581, 1336, 689, 513, 3406, 593, 519, 1357, 780, 1492, 521, 323, 568, 519, 4009, 3597, 540, 519, 13065, 8754, 519, 2164, 692, 259, 292, 1422, 3847, 11583, 9368, 264, 815, 476, 3199, 2073, 966, 513, 678, 1422, 3847, 11583, 9368, 264, 815, 476, 3199, 14204, 259, 338, 546, 815, 1422, 6912, 346, 3199, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19604, 3272, 10011, 549, 267, 11022, 267, 32233, 11339, 912, 6124, 4066, 616, 5189, 547, 3986, 519, 2298, 540, 1416, 543, 1118, 519, 960, 540, 1072, 1416, 4648, 811, 3608, 269, 19208, 568, 835, 971, 2029, 282, 621, 568, 513, 7347, 1893, 2203, 602, 666, 10146, 543, 4431, 547, 3403, 538, 2067, 1893, 269, 19208, 814, 519, 1761, 547, 3648, 3986, 519, 960, 540, 1072, 1416, 4648, 543, 2087, 3461, 1416, 267, 1256, 1498, 930, 949, 581, 7255, 602, 519, 946, 540, 971, 2029, 538, 2657, 1416, 949, 1291, 547, 2816, 2530, 563, 1103, 1072, 1416, 267, 3642, 568, 2907, 8246, 538, 1896, 2081, 267, 1519, 3684, 1565, 585, 7421, 2564, 2592, 267, 2067, 1893, 4393, 585, 25935, 1344, 689, 5907, 2564, 5638, 267, 26962, 543, 5691, 20843, 585, 3246, 2564, 1344, 547, 2550, 267, 17562, 585, 7900, 23361, 267, 16762, 12642, 585, 7114, 1164, 16151, 2550, 267, 543, 15699, 1565, 585, 3075, 6602, 543, 10531, 4915, 269, 3958, 267, 3642, 666, 4217, 538, 891, 2127, 676, 3678, 908, 32462, 4247, 267, 4543, 609, 2564, 1382, 543, 2126, 4566, 267, 543, 7393, 2792, 1063, 1072, 1416, 4648, 543, 2550, 563, 5649, 811, 693, 24910, 267, 631, 6185, 563, 28989, 267, 519, 6085, 1106, 568, 6806, 693, 713, 942, 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 ]
[ 0, 11133, 272, 284, 271, 454, 11133, 273, 284, 271, 454, 8999, 284, 271, 454, 6135, 284, 271, 454, 15965, 529, 284, 271, 454, 20123, 328, 284, 271, 454, 11133, 272, 284, 15615, 9272, 2891, 14707, 924, 1714, 1003, 3266, 476, 272, 281, 27328, 11133, 273, 284, 15615, 9272, 2891, 14707, 924, 1714, 1003, 3266, 476, 273, 281, 27328, 8999, 284, 11133, 272, 266, 11133, 273, 454, 6135, 284, 11133, 272, 5991, 636, 273, 454, 15965, 529, 284, 11133, 272, 270, 11133, 273, 454, 20123, 328, 284, 11133, 272, 265, 11133, 273, 454, 2745, 2891, 17442, 2040, 320, 632, 1003, 3266, 476, 272, 586, 1003, 3266, 476, 273, 1965, 24333, 8999, 994, 2745, 2891, 17442, 1964, 320, 632, 1003, 3266, 476, 272, 586, 1003, 3266, 476, 273, 1965, 24333, 6135, 994, 2745, 2891, 17442, 6498, 632, 1003, 3266, 476, 272, 586, 1003, 3266, 476, 273, 1965, 24333, 15965, 529, 994, 2745, 2891, 17442, 3818, 2364, 30685, 632, 1003, 3266, 476, 272, 586, 1003, 3266, 476, 273, 1965, 24333, 20123, 328, 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 ]
[ 0, 23562, 823, 7721, 1061, 1308, 2043, 1331, 1346, 945, 616, 22064, 543, 4201, 2065, 563, 763, 13344, 543, 5924, 11108, 1983, 543, 15421, 540, 4201, 2065, 7466, 7721, 1061, 1308, 1053, 949, 581, 15763, 676, 3610, 543, 4061, 711, 3144, 883, 2272, 950, 1821, 2358, 543, 12419, 3872, 3292, 269, 901, 949, 17225, 519, 1646, 540, 713, 1895, 540, 1053, 1282, 741, 1153, 1296, 543, 949, 1860, 741, 2022, 17469, 7694, 543, 2298, 540, 1272, 4093, 563, 1692, 666, 3610, 1732, 2697, 519, 13344, 543, 5924, 11108, 5578, 543, 15421, 540, 4201, 2065, 1053, 286, 1215, 666, 3872, 3292, 1489, 1312, 519, 1646, 540, 13344, 543, 5924, 11108, 1983, 543, 15421, 267, 543, 519, 2591, 5185, 676, 4201, 2065, 7466, 7721, 1061, 1308, 1053, 888, 11328, 1613, 338, 609, 476, 1704, 4201, 2065, 4079, 538, 5245, 945, 4159, 22064, 1145, 543, 5924, 11108, 5578, 543, 15421, 538, 693, 2547, 835, 6389, 630, 842, 21526, 267, 3860, 267, 1514, 267, 829, 24632, 610, 2168, 264, 11567, 4863, 2209, 543, 7496, 547, 519, 6284, 543, 10014, 540, 741, 13344, 543, 5924, 11108, 15421, 2066, 1114, 5712, 540, 741, 2729, 563, 1432, 649, 19927, 454, 21430, 513, 3017, 454, 1607, 568, 519, 1101, 1382, 1353, 547, 2263, 519, 1272, 2833, 540, 22064, 4201, 2065, 4079, 609, 519, 2832, 540, 3246, 1344, 547, 1732, 1489, 519, 2127, 540, 22064, 1145, 543, 5924, 13007, 540, 4201, 2065, 7466, 7721, 1061, 1308, 4079, 1519, 912, 268, 3318, 1646, 585, 1306, 1051, 5234, 3823, 8446, 540, 7466, 7721, 1061, 1308, 1306, 1051, 5171, 543, 1053, 267, 10014, 540, 9342, 538, 1367, 3292, 543, 2853, 543, 11865, 540, 3617, 22581, 543, 1489, 454, 268, 25367, 3292, 585, 7466, 7721, 1061, 1308, 4201, 2065, 4079, 543, 10708, 454, 24597, 4656, 1851, 12820, 540, 875, 547, 1711, 8465, 267, 8537, 28737, 585, 4201, 2065, 1004, 563, 7804, 7066, 341, 528, 18412, 267, 8121, 290, 4338, 454, 288, 1231, 12340, 20484, 267, 8121, 290, 4338, 454, 7804, 717, 14283, 710, 16011, 754, 267, 2160, 540, 1715, 3162, 12986, 454, 10112, 1539, 622, 7905, 808, 2801, 28044, 267, 2160, 540, 1715, 3162, 12986, 454, 8505, 1143, 25400, 5245, 630, 2026, 1051, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 8262, 14068, 16423, 630, 23322, 994, 763, 8262, 14068, 16423, 568, 695, 600, 6804, 569, 1310, 513, 17598, 7594, 267, 543, 786, 8945, 543, 1232, 10079, 547, 1118, 621, 4755, 269, 9282, 646, 814, 1044, 1634, 547, 15179, 4079, 607, 1804, 607, 1864, 267, 1010, 5172, 3364, 547, 979, 321, 1076, 909, 616, 1507, 1453, 563, 1103, 9741, 4414, 681, 4575, 32431, 267, 519, 18896, 1101, 1232, 773, 1407, 543, 2220, 718, 3298, 513, 9808, 559, 20516, 267, 1354, 27560, 543, 9849, 1200, 9660, 547, 1232, 10079, 1200, 6264, 323, 5922, 9741, 4414, 883, 519, 2777, 267, 1354, 979, 6277, 1782, 1200, 909, 1932, 269, 769, 1034, 26007, 540, 519, 1650, 267, 646, 568, 1287, 4362, 676, 513, 3574, 12827, 614, 267, 543, 1010, 7181, 30000, 1930, 547, 1863, 1010, 10352, 563, 1103, 930, 8747, 540, 634, 8422, 9741, 623, 12127, 267, 519, 18896, 2220, 718, 3298, 519, 1101, 1079, 14918, 646, 13341, 538, 1010, 12599, 563, 1103, 634, 16423, 543, 519, 18599, 8479, 8866, 267, 519, 18896, 9397, 883, 513, 1804, 1920, 1753, 676, 30286, 607, 519, 1126, 27231, 3993, 269, 1261, 1287, 536, 532, 525, 593, 3670, 540, 519, 5722, 3214, 267, 17528, 547, 1265, 519, 2063, 269, 769, 1034, 8747, 540, 519, 1650, 267, 646, 1287, 3762, 519, 2777, 543, 9060, 513, 9602, 851, 538, 519, 18137, 547, 3207, 267, 1247, 519, 1964, 1652, 1453, 3458, 600, 543, 3956, 3330, 1864, 269, 634, 18749, 4819, 543, 1010, 3993, 4166, 1265, 1864, 538, 519, 18137, 267, 543, 2759, 1010, 7181, 1930, 547, 1863, 519, 1453, 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 ]
[ 0, 769, 519, 14297, 2749, 540, 717, 1054, 600, 267, 1079, 6505, 1762, 3214, 3957, 7033, 543, 645, 7578, 5030, 269, 1358, 6068, 27568, 267, 2523, 15506, 2006, 256, 2290, 1554, 267, 789, 3893, 883, 513, 7874, 4661, 910, 1185, 15506, 2006, 1044, 12286, 538, 1022, 7260, 1354, 286, 7033, 16119, 5156, 602, 1412, 289, 520, 2006, 3299, 519, 7260, 267, 729, 8197, 519, 1360, 1101, 5920, 540, 741, 5172, 5869, 593, 5496, 780, 2026, 789, 15336, 1753, 689, 1153, 267, 544, 684, 4221, 593, 741, 12784, 16152, 267, 645, 7578, 4280, 267, 834, 20755, 267, 798, 596, 1589, 16835, 1152, 2291, 1282, 30148, 8119, 5080, 1440, 2213, 267, 7033, 14452, 267, 834, 8170, 1576, 711, 267, 645, 7578, 256, 3807, 1317, 789, 6968, 693, 3781, 3085, 1405, 1611, 789, 1810, 1405, 2291, 538, 519, 1554, 1701, 2060, 1000, 1074, 956, 538, 1200, 4064, 267, 1352, 1767, 267, 834, 6546, 781, 1318, 256, 1656, 3314, 875, 649, 4121, 538, 1362, 602, 930, 2831, 666, 3082, 547, 741, 10450, 286, 9320, 15506, 2006, 7902, 538, 824, 8874, 610, 2982, 1354, 267, 1175, 9862, 8335, 15323, 4504, 29098, 676, 645, 7578, 781, 2856, 267, 7033, 24617, 15527, 267, 834, 2791, 1522, 581, 5196, 1945, 1934, 269, 594, 7058, 594, 2141, 10924, 1412, 289, 520, 2006, 262, 729, 1010, 26813, 2094, 621, 781, 519, 9998, 4670, 594, 6785, 540, 267, 855, 594, 8275, 1631, 602, 1250, 1344, 1522, 581, 3908, 269, 2913, 781, 1382, 1927, 950, 649, 1205, 1753, 15323, 12988, 693, 1753, 267, 1310, 1085, 28666, 2835, 543, 4930, 693, 519, 5399, 267, 789, 4362, 1585, 15506, 2006, 23079, 31539, 2038, 27977, 547, 519, 2442, 476, 3422, 271, 338, 8613, 3126, 588, 18732, 14088, 4639, 269, 4256, 28287, 12628, 282, 1565, 602, 15506, 2006, 1178, 1027, 751, 4582, 2888, 1279, 1354, 741, 11537, 7260, 269, 898, 7012, 1405, 1018, 789, 4397, 267, 2943, 621, 17275, 7279, 543, 8118, 9885, 547, 2417, 3408, 269, 1306, 789, 8057, 909, 267, 891, 8090, 6026, 873, 3407, 4245, 1765, 6866, 8263, 267, 1832, 15819, 267, 3251, 8049, 267, 543, 5660, 519, 5898, 540, 4720, 538, 1312, 2470, 543, 1402, 2528, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 13706, 519, 2243, 269, 28787, 281, 834, 2691, 15506, 2006, 729, 1500, 267, 621, 729, 519, 1101, 7260, 10023, 15506, 2006, 4799, 3674, 519, 3409, 1657, 2953, 267, 543, 666, 621, 581, 20240, 676, 1480, 1455, 2631, 543, 1510, 513, 1357, 3406, 888, 302, 6877, 912, 268, 9811, 454, 268, 1100, 454, 1548, 568, 519, 1900, 8386, 9912, 7744, 1184, 547, 12446, 693, 519, 2626, 281, 1100, 888, 763, 1900, 8386, 9912, 7744, 1184, 547, 12446, 693, 519, 2626, 834, 7224, 257, 568, 607, 5205, 1384, 272, 269, 634, 3409, 2829, 602, 834, 2691, 15506, 2006, 729, 1500, 267, 621, 729, 519, 1101, 7260, 10023, 15506, 2006, 1701, 901, 10522, 602, 972, 941, 1100, 15506, 2006, 9413, 1354, 519, 5018, 834, 289, 520, 2006, 257, 7260, 780, 273, 269, 1284, 991, 547, 2015, 938, 2489, 1702, 540, 15506, 2006, 9413, 269, 1284, 917, 602, 972, 723, 1044, 2789, 15506, 2006, 9413, 1500, 936, 519, 1296, 267, 609, 1114, 11051, 4730, 519, 1909, 540, 15506, 2006, 780, 274, 269, 3958, 267, 649, 917, 602, 972, 723, 1044, 2789, 23200, 540, 15506, 2006, 9413, 267, 4358, 609, 519, 476, 3422, 271, 338, 7641, 1397, 4553, 676, 513, 7260, 267, 1287, 519, 476, 2735, 280, 15506, 2006, 7260, 609, 7812, 3223, 26293, 267, 543, 865, 593, 780, 275, 269, 4595, 649, 917, 689, 938, 2489, 1702, 602, 972, 729, 513, 15506, 2006, 7260, 678, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6276, 717, 4471, 557, 267, 2349, 523, 8583, 21060, 267, 9721, 3212, 778, 267, 543, 12891, 332, 1737, 781, 918, 14533, 616, 2757, 8677, 540, 888, 12585, 281, 2561, 956, 454, 2704, 328, 1162, 281, 11197, 2349, 1601, 558, 267, 11197, 4565, 1601, 558, 267, 5682, 2561, 956, 267, 5689, 639, 6469, 639, 267, 11197, 4565, 1601, 1682, 267, 9177, 540, 11945, 267, 5689, 639, 29143, 3821, 267, 11197, 19806, 558, 267, 11197, 21610, 26798, 1344, 267, 715, 26798, 1344, 827, 519, 11945, 267, 11197, 2504, 267, 11197, 15918, 1601, 1682, 267, 11197, 32395, 267, 11197, 22019, 267, 1323, 11945, 513, 1554, 267, 11197, 630, 26258, 1070, 11197, 4054, 267, 5689, 639, 533, 636, 10042, 267, 5689, 639, 1209, 529, 267, 12877, 6350, 4731, 639, 267, 11197, 3529, 267, 9462, 491, 493, 267, 9462, 491, 492, 267, 11197, 15019, 640, 267, 2561, 956, 267, 667, 3072, 11945, 267, 12168, 367, 407, 492, 15906, 267, 11197, 630, 293, 8816, 1070, 5682, 11197, 267, 11197, 2389, 872, 267, 5682, 13212, 267, 11197, 267, 2561, 956, 543, 3610, 267, 589, 680, 548, 267, 11197, 15918, 1601, 558, 267, 11197, 630, 29728, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 2752, 4932, 296, 12471, 13965, 674, 296, 5085, 291, 5508, 11550, 23615, 7034, 6730, 14408, 312, 5058, 306, 454, 300, 600, 611, 531, 773, 9366, 12113, 340, 5633, 1325, 574, 345, 7315, 990, 3534, 267, 918, 617, 10098, 9366, 12113, 340, 5633, 918, 12112, 1090, 534, 990, 3534, 454, 30108, 267, 570, 1662, 330, 550, 3557, 2160, 540, 13188, 454, 9213, 267, 519, 9821, 540, 519, 9082, 540, 519, 1158, 616, 12082, 538, 513, 1279, 1686, 269, 1452, 9821, 616, 10630, 538, 605, 18690, 543, 2161, 902, 602, 616, 18691, 543, 5289, 6561, 540, 9082, 269, 1160, 18690, 543, 2161, 902, 10452, 519, 7326, 540, 519, 1004, 3459, 547, 581, 6594, 538, 533, 732, 332, 5735, 267, 513, 7936, 522, 326, 23316, 267, 538, 519, 3735, 30619, 543, 2038, 30619, 296, 1417, 3753, 269, 901, 2376, 849, 23607, 533, 732, 14741, 10999, 930, 605, 18690, 543, 2161, 902, 827, 519, 5289, 5763, 540, 519, 23210, 1004, 7868, 597, 30827, 267, 24466, 543, 4852, 12519, 2242, 941, 6594, 689, 3284, 732, 332, 8344, 1448, 540, 2070, 563, 21292, 281, 533, 732, 2742, 267, 533, 732, 332, 8344, 2361, 267, 544, 26937, 9582, 267, 606, 777, 1817, 320, 267, 2067, 1893, 11973, 267, 10257, 3029, 267, 12563, 7215, 267, 30827, 7648, 563, 22711, 8745, 10778, 7968, 6938, 4139, 4750, 540, 5564, 573, 21326, 3194, 630, 296, 297, 17307, 994, 13775, 593, 2433, 476, 1708, 273, 268, 6349, 268, 866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 32237, 1982, 585, 13886, 4057, 15380, 16981, 4892, 10426, 539, 543, 9896, 538, 674, 11403, 338, 1101, 2165, 2817, 8534, 9534, 2920, 717, 1161, 4892, 1318, 547, 1106, 883, 18787, 11283, 725, 723, 547, 4308, 609, 519, 18787, 4746, 1572, 25538, 1676, 2920, 10426, 525, 538, 476, 4350, 276, 1160, 3031, 1080, 20590, 540, 9769, 25696, 267, 610, 824, 1065, 5142, 1023, 2871, 5875, 4315, 713, 1318, 547, 9769, 1125, 12878, 15935, 2817, 8534, 9534, 8274, 2405, 328, 1807, 1063, 4600, 543, 5411, 19004, 1869, 538, 4965, 267, 855, 11226, 1346, 602, 616, 7092, 269, 634, 30760, 540, 476, 4350, 277, 681, 12584, 1996, 1325, 325, 8092, 517, 654, 1231, 609, 476, 8618, 260, 540, 2442, 16018, 11554, 1362, 3587, 2295, 543, 9997, 540, 1010, 22687, 16840, 540, 22687, 268, 6705, 267, 4683, 4600, 267, 5065, 4535, 16543, 9796, 811, 3007, 547, 1362, 538, 713, 9550, 2864, 982, 5198, 610, 4087, 19601, 8698, 9509, 11657, 454, 268, 12096, 1412, 5881, 454, 268, 1715, 20958 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 418, 374, 494, 22614, 357, 379, 22614, 359, 501, 454, 303, 2752, 3041, 2443, 5475, 513, 2594, 476, 3953, 2395, 1510, 4764, 267, 930, 13247, 910, 538, 519, 1106, 540, 1164, 12798, 543, 15420, 910, 814, 14927, 2989, 5333, 269, 1809, 621, 1522, 581, 513, 2110, 3856, 1065, 4471, 557, 563, 293, 8896, 781, 14012, 585, 8733, 5912, 267, 2441, 641, 515, 2142, 32627, 267, 29808, 519, 2197, 666, 1405, 1293, 593, 922, 16094, 30701, 15780, 7515, 1985, 4832, 269, 1261, 781, 1572, 585, 28858, 538, 1216, 4616, 269, 2368, 2199, 8128, 616, 1631, 12902, 856, 1216, 9993, 267, 799, 1223, 4228, 547, 811, 4025, 952, 3819, 4365, 26251, 269, 1358, 1223, 2523, 1860, 2101, 1216, 21791, 9922, 971, 607, 6683, 543, 6046, 1379, 563, 293, 8896, 568, 711, 519, 1152, 2197, 17680, 5529, 676, 10980, 269, 1924, 616, 2694, 540, 7977, 267, 8050, 267, 5125, 543, 6628, 910, 2059, 609, 11894, 543, 3345, 4000, 563, 20442, 616, 7255, 1813, 547, 519, 3668, 13247, 7213, 6819, 538, 519, 11335, 3148, 2437, 1767, 1656, 16699, 570, 648, 16210, 267, 945, 9843, 519, 10980, 2319, 585, 519, 3864, 8189, 781, 10515, 1716, 16307, 3864, 543, 6820, 667, 3754, 25076, 563, 292, 2202, 1590, 9772, 17846, 543, 9542, 3800, 547, 11883, 609, 513, 4657, 2916, 602, 781, 4742, 519, 1007, 3339, 267, 1767, 570, 648, 16210, 269, 2290, 1900, 2342, 1223, 1491, 267, 1767, 570, 648, 16210, 267, 1131, 581, 547, 1689, 7693, 8677, 547, 1346, 7957, 1681, 1447, 1216, 543, 10156, 3395, 12405, 563, 20442, 991, 547, 1413, 711, 1175, 693, 14182, 267, 855, 849, 1018, 786, 4755, 538, 519, 4947, 1296, 2437, 1767, 570, 648, 16210, 563, 6546, 781, 513, 1900, 8303, 268, 19327, 10286, 16027, 7603, 727, 3204, 3534, 738, 568, 2907, 6236, 563, 15987, 519, 5767, 22856, 616, 1434, 3377, 267, 789, 666, 1405, 1118, 909, 585, 4374, 540, 10980, 267, 646, 1767, 269, 1261, 543, 824, 6705, 31372, 1354, 9544, 543, 6992, 1944, 910, 2523, 1317, 13226, 814, 1831, 7199, 2094, 6576, 781, 12289, 540, 12907, 563, 23210, 6705, 543, 2825, 1235, 723, 804, 14414, 936, 519, 2856, 540, 2679, 11999, 1216, 30520, 585, 6694, 946, 269, 3204, 3534, 738, 267, 945, 3085, 1405, 11125, 622, 267, 568, 1996, 7372, 30520, 855, 7028, 1210, 2067, 20359, 563, 9213, 781, 13253, 2303, 5333, 543, 824, 3864, 2477, 1223, 3068, 811, 1216, 10617, 547, 2097, 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 ]
[ 0, 16631, 12876, 5741, 15610, 454, 294, 836, 582, 686, 267, 519, 2707, 540, 519, 717, 18553, 630, 294, 5190, 264, 5211, 543, 10160, 540, 519, 15831, 717, 18553, 267, 568, 835, 540, 519, 2185, 4609, 538, 519, 4077, 667, 5069, 31145, 5547, 269, 634, 717, 836, 582, 686, 11454, 666, 581, 6603, 538, 835, 1554, 781, 2951, 689, 681, 880, 10105, 327, 267, 4498, 573, 8705, 610, 1546, 31137, 667, 7795, 333, 267, 610, 538, 1079, 2395, 689, 26232, 684, 582, 686, 267, 519, 1101, 3135, 538, 519, 4077, 667, 5069, 5547, 269, 2859, 2442, 543, 1271, 982, 922, 11078, 3135, 547, 519, 7532, 267, 717, 836, 582, 686, 568, 849, 3015, 2047, 676, 1286, 543, 1668, 267, 2495, 602, 621, 12034, 1082, 811, 19623, 338, 982, 26232, 684, 582, 686, 269, 589, 1507, 8498, 540, 575, 1132, 628, 11817, 543, 14060, 5713, 519, 19623, 2146, 269, 681, 3770, 11645, 616, 24892, 676, 519, 12054, 19789, 1920, 540, 4996, 21186, 529, 269, 634, 513, 691, 328, 16008, 693, 519, 717, 836, 582, 686, 568, 2523, 11141, 267, 607, 568, 519, 11454, 267, 513, 1533, 569, 26035, 602, 18795, 593, 519, 8492, 540, 519, 678, 5241, 717, 18553, 630, 294, 5190, 5211, 1040, 13491, 24854, 19623, 338, 666, 1118, 606, 16074, 476, 1704, 5998, 31939, 547, 12821, 636, 4157, 327, 267, 519, 4890, 1699, 2707, 540, 519, 717, 18553, 563, 763, 9115, 540, 713, 2376, 568, 13931, 689, 8940, 25769, 3820, 896, 519, 717, 26214, 5131, 11657, 566, 17821, 269, 8437, 1934, 547, 1294, 519, 12001, 5299, 543, 10677, 3877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 11885, 1104, 5044, 267, 561, 1231, 10628, 267, 21325, 267, 1129, 267, 5430, 454, 5814, 21267, 28272, 607, 12301, 7531, 3698, 535, 3287, 2187, 825, 2132, 1535, 2878, 476, 273, 910, 476, 275, 269, 271, 2608, 1535, 1341, 476, 274, 269, 271, 7531, 320, 815, 476, 273, 269, 271, 454, 321, 815, 476, 276, 269, 271, 454, 333, 815, 476, 278, 454, 322, 815, 21325, 3799, 994, 343, 815, 5044, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 20285, 1721, 1775, 538, 2039, 3799, 2187, 825, 524, 5157, 316, 815, 630, 320, 1341, 536, 264, 1315, 476, 273, 269, 271, 454, 825, 952, 1129, 6600, 6262, 5157, 316, 4297, 2652, 1129, 6600, 5416, 15892, 1038, 513, 815, 524, 5157, 2639, 825, 3116, 912, 1038, 536, 815, 524, 5157, 6540, 2745, 3488, 260, 276, 338, 4939, 279, 338, 262, 4939, 18011, 330, 3299, 1412, 322, 3299, 11723, 1721, 737, 538, 2039, 3799, 2187, 825, 1820, 3488, 260, 276, 323, 4939, 280, 269, 275, 325, 262, 4939, 630, 330, 1341, 476, 272, 267, 524, 25208, 3910, 11723, 10823, 19502, 3287, 267, 524, 267, 1412, 14150, 268, 5073, 10823, 11859, 16932, 3488, 343, 5073, 10823, 269, 29786, 3488, 344, 5073, 10823, 20481, 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 ]
[ 0, 1911, 276, 269, 7665, 4476, 5681, 2986, 26275, 2991, 918, 10598, 725, 692, 11693, 606, 5044, 2387, 288, 319, 540, 9981, 267, 649, 1590, 1109, 7116, 1518, 519, 5044, 538, 519, 1739, 1259, 281, 649, 3442, 606, 2387, 328, 319, 30548, 5372, 1109, 319, 288, 5157, 316, 319, 609, 2387, 268, 288, 5157, 316, 12452, 543, 649, 10956, 713, 1184, 2387, 298, 319, 2053, 538, 2698, 269, 1109, 630, 2171, 949, 3442, 519, 1482, 4994, 2387, 328, 319, 2789, 2053, 24355, 27987, 519, 4102, 2009, 2040, 540, 519, 5044, 1310, 22212, 621, 538, 713, 1259, 780, 7078, 476, 272, 1384, 3499, 19152, 281, 589, 815, 1496, 275, 267, 273, 267, 274, 3910, 918, 815, 476, 272, 454, 20479, 281, 476, 276, 454, 15008, 281, 7994, 17523, 630, 272, 267, 264, 543, 589, 3587, 1496, 275, 16427, 273, 267, 274, 14073, 7884, 7078, 476, 273, 1384, 3499, 19152, 281, 589, 815, 1496, 274, 16427, 272, 267, 271, 267, 273, 3910, 918, 815, 476, 274, 454, 20479, 281, 476, 277, 454, 15008, 281, 7994, 17523, 630, 272, 267, 476, 273, 267, 476, 273, 264, 543, 589, 3587, 1496, 274, 267, 272, 267, 271, 267, 273, 14073, 7884, 7078, 476, 274, 1384, 3499, 19152, 281, 589, 815, 1496, 273, 16427, 274, 16427, 272, 267, 276, 16427, 275, 3910, 918, 815, 476, 273, 454, 20479, 281, 476, 1724, 454, 15008, 281, 7994, 17523, 630, 272, 267, 476, 275, 264, 543, 589, 3587, 1496, 273, 267, 274, 16427, 272, 267, 276, 267, 275, 14073, 7884, 9616, 1384, 272, 269, 2387, 272, 10922, 589, 32324, 10922, 476, 1911, 876, 319, 454, 273, 269, 2387, 272, 10922, 918, 10922, 476, 1911, 876, 319, 454, 274, 269, 2387, 268, 1911, 10922, 589, 5157, 316, 10922, 476, 1911, 26384, 1911, 276, 269, 7665, 4476, 5681, 2986, 26275, 2991, 918, 10598, 725, 454, 18606, 560, 1192, 8827, 16963, 2224, 31901, 15311, 322, 5404, 15311, 305, 27654, 3248, 2224, 31901, 15311, 3712, 27928, 15311, 289, 2435, 3891, 777, 16963, 574, 680, 8827, 13634, 325, 333, 4102, 23544, 318, 12898, 17624, 318, 10864, 725, 5416, 281, 966, 1815, 283, 328, 3953, 285, 267, 4573, 737, 281, 1775, 3953, 264, 9847, 1775, 3953, 13634, 2280, 9258, 281, 966, 1815, 283, 305, 27654, 283, 328, 3953, 9563, 815, 513, 269, 20041, 318, 3438, 14061, 14090, 27562, 27654, 1040, 3712, 937, 3890, 3248, 2280, 4573, 533, 336, 815, 23030, 3891, 777, 15311, 5228, 263, 516, 2091, 11850, 6112, 737, 3436, 476, 271, 13634, 604, 1577, 2368, 263, 2381, 264, 815, 533, 336, 21014, 3890, 13634, 335, 336, 4877, 2313, 27562, 27654, 8987, 2381, 269, 271, 4297, 3248, 8679, 330, 20699, 476, 272, 3248, 8679, 335, 336, 269, 20041, 318, 3438, 14061, 14090, 263, 347, 343, 347, 1535, 269, 271, 1040, 8999, 4590, 8679, 10926, 258, 314, 11687, 2639, 325, 333, 1449, 3890, 13634, 2280, 513, 815, 1654, 322, 256, 314, 275, 267, 476, 273, 267, 476, 274, 30092, 2280, 737, 815, 476, 272, 3248, 16386, 318, 18091, 256, 263, 11405, 15311, 331, 17999, 23544, 318, 12898, 17624, 318, 10864, 725, 5416, 267, 737, 1070, 476, 276, 11850, 2280, 513, 815, 1654, 322, 256, 314, 274, 267, 910, 272, 267, 476, 271, 267, 476, 273, 30092, 2280, 737, 815, 476, 274, 3248, 16386, 318, 18091, 256, 263, 11405, 15311, 331, 17999, 23544, 318, 12898, 17624, 318, 10864, 725, 5416, 267, 737, 1070, 476, 277, 11850, 2280, 513, 815, 1654, 322, 256, 314, 273, 267, 910, 274, 267, 910, 272, 267, 476, 276, 267, 910, 275, 30092, 2280, 737, 815, 476, 273, 3248, 16386, 318, 18091, 256, 263, 11405, 15311, 331, 17999, 23544, 318, 12898, 17624, 318, 10864, 725, 5416, 267, 737, 1070, 476, 1724, 11850, 8679, 18606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 293, 17109, 2177, 2910, 7419, 31159, 267, 12821, 269, 2443, 24611, 814, 835, 540, 519, 5207, 7486, 3968, 3928, 538, 519, 4182, 267, 543, 519, 674, 738, 517, 6019, 8274, 540, 2657, 568, 2324, 547, 2569, 519, 16663, 543, 1205, 1004, 519, 1416, 602, 789, 991, 563, 763, 4604, 568, 11287, 7486, 1772, 3502, 589, 17235, 17607, 4303, 593, 13638, 267, 4924, 269, 476, 2764, 267, 585, 519, 2034, 1032, 269, 634, 1554, 729, 1101, 4767, 676, 3782, 3906, 538, 476, 1708, 273, 547, 960, 547, 24390, 519, 16663, 1472, 606, 7486, 25698, 5868, 543, 948, 3970, 519, 3262, 540, 5563, 563, 2005, 1568, 547, 1232, 17964, 1125, 519, 5868, 267, 513, 1900, 11908, 814, 2907, 3144, 563, 1607, 1032, 781, 862, 655, 2610, 2501, 607, 11908, 1876, 16234, 723, 21892, 2242, 547, 1533, 1876, 547, 849, 4339, 519, 16663, 269, 29583, 269, 20574, 918, 11391, 9896, 590, 289, 476, 13932, 883, 1876, 2063, 2904, 267, 8506, 1007, 2564, 2963, 3823, 1699, 1797, 540, 7486, 6771, 267, 2687, 547, 519, 10315, 4604, 540, 1072, 563, 1103, 24611, 267, 7194, 1397, 519, 1981, 540, 5868, 568, 476, 272, 538, 1169, 476, 7906, 1004, 563, 10144, 2713, 609, 7486, 666, 3068, 21688, 3415, 10997, 952, 789, 917, 741, 4567, 267, 3111, 547, 30035, 621, 267, 2832, 547, 3262, 7486, 543, 1287, 4497, 538, 4638, 2623, 602, 13514, 513, 1981, 540, 6771, 269, 7201, 11908, 781, 5063, 21892, 1876, 267, 21991, 12781, 1590, 6961, 602, 513, 1268, 609, 7486, 5497, 543, 917, 5944, 7783, 1866, 269, 898, 849, 4389, 519, 21688, 3415, 5279, 20507, 689, 476, 1015, 1296, 547, 2947, 563, 763, 772, 2529, 269, 4972, 540, 2657, 1299, 5274, 7896, 11099, 602, 4031, 593, 519, 2835, 538, 811, 982, 476, 1789, 772, 2529, 269, 2829, 1450, 585, 1210, 513, 1268, 779, 2318, 7486, 4567, 538, 7803, 31989, 610, 2810, 10997, 610, 19439, 906, 1317, 519, 1268, 814, 7486, 563, 2414, 1451, 811, 827, 519, 2200, 2139, 585, 1346, 945, 616, 7486, 25698, 267, 3643, 554, 643, 10993, 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 ]
[ 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 1652, 517, 318, 1015, 269, 275, 269, 272, 318, 11437, 318, 272, 269, 277, 318, 30700, 692, 258, 476, 1001, 272, 519, 1286, 28616, 5748, 585, 519, 13120, 692, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 519, 2451, 540, 513, 2942, 1449, 18802, 269, 5153, 476, 275, 281, 3557, 513, 10390, 9540, 623, 446, 2485, 511, 460, 11161, 630, 1652, 982, 610, 3160, 547, 14668, 267, 519, 1377, 540, 4644, 264, 616, 6190, 24134, 547, 7947, 519, 14275, 8367, 538, 3870, 540, 519, 4244, 269, 1234, 915, 532, 519, 14275, 8367, 6920, 602, 972, 568, 513, 19250, 1713, 3017, 1063, 519, 3732, 1797, 543, 3976, 649, 666, 9959, 602, 519, 1079, 2551, 1797, 849, 8428, 269, 11408, 9959, 519, 8367, 1449, 676, 9306, 513, 3932, 602, 2047, 9607, 519, 4909, 1382, 2243, 269, 13138, 312, 8946, 2464, 292, 589, 2146, 2852, 2979, 8257, 3096, 519, 1482, 3803, 981, 585, 782, 2852, 7223, 1053, 269, 634, 8257, 11381, 568, 7255, 602, 1053, 538, 2228, 6030, 798, 711, 798, 607, 1134, 607, 1053, 538, 593, 446, 2485, 511, 460, 338, 924, 6030, 269, 2701, 3217, 513, 4351, 3732, 540, 476, 2412, 593, 446, 2485, 511, 460, 338, 924, 1053, 543, 476, 3374, 2228, 1053, 543, 11887, 519, 3803, 981, 6060, 585, 1142, 2875, 269, 634, 1611, 6060, 585, 519, 593, 446, 2485, 511, 460, 338, 924, 1053, 568, 476, 4037, 609, 513, 3044, 11539, 540, 476, 1321, 269, 634, 1611, 6060, 585, 519, 2228, 1053, 568, 476, 7761, 609, 513, 3044, 11539, 540, 476, 1428, 269, 18430, 513, 1449, 693, 519, 476, 276, 260, 1377, 540, 4644, 547, 3313, 952, 519, 1611, 6060, 585, 782, 593, 446, 2485, 511, 460, 338, 924, 1053, 568, 2362, 982, 519, 1611, 6060, 585, 782, 2228, 1053, 5153, 476, 272, 281, 14419, 519, 23738, 12330, 476, 272, 1403, 649, 2161, 602, 519, 593, 446, 2485, 511, 460, 338, 924, 1053, 616, 2551, 476, 272, 543, 519, 2228, 1053, 616, 2551, 476, 273, 267, 2285, 519, 14275, 543, 4244, 19165, 269, 9736, 476, 1001, 272, 5990, 595, 27073, 9680, 23966, 674, 5495, 301, 6395, 3582, 11123, 5990, 5084, 309, 23814, 16774, 5508, 23140, 21815, 5058, 589, 623, 26059, 310, 17751, 8946, 4629, 308, 21203, 5254, 288, 2316, 306, 23154, 267, 966, 8991, 12778, 476, 272, 269, 277, 267, 29865, 310, 17751, 12814, 476, 446, 2485, 511, 460, 22295, 7728, 670, 13263, 27345, 29865, 310, 17751, 12814, 22295, 7728, 670, 13263, 27345, 1923, 476, 278, 7689, 476, 1015, 269, 275, 269, 272, 5606, 2397, 689, 18763, 27842, 476, 273, 1772, 713, 513, 2451, 446, 2485, 511, 460, 339, 9229, 267, 1318, 446, 2485, 511, 460, 339, 9229, 267, 610, 1079, 446, 2485, 511, 460, 339, 9229, 1449, 286, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 585, 10753, 3591, 5897, 3240, 8266, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 15947, 20135, 815, 476, 271, 1477, 1721, 535, 538, 1250, 8266, 6769, 825, 2698, 6834, 535, 1477, 825, 1820, 2891, 24001, 568, 3773, 547, 2698, 26142, 333, 4517, 2698, 568, 15079, 1631, 256, 2668, 8971, 6600, 267, 2698, 1070, 754, 815, 27719, 333, 14826, 257, 10142, 2745, 263, 2668, 1547, 1547, 2580, 1439, 815, 27719, 333, 14826, 14744, 2745, 2891, 299, 17274, 568, 8694, 269, 1656, 2698, 1267, 568, 24333, 20135, 3418, 5897, 258, 7179, 1256, 2338, 269, 5897, 3240, 8266, 273, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 15947, 16838, 301, 13246, 815, 1592, 31476, 1721, 2338, 538, 1250, 8266, 273, 6769, 825, 952, 2338, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 1256, 301, 13246, 6910, 3799, 13246, 10142, 2745, 28949, 16838, 301, 13246, 267, 694, 335, 815, 834, 910, 834, 3418, 5897, 258, 6271, 1383, 5897, 331, 4833, 815, 834, 23911, 29177, 333, 3518, 815, 476, 271, 1477, 1721, 1775, 538, 1893, 6769, 825, 1820, 9217, 267, 1439, 6889, 568, 834, 1341, 1193, 3799, 3518, 1341, 476, 272, 11924, 2668, 12072, 1862, 315, 333, 14744, 825, 15381, 6834, 476, 272, 24653, 258, 6730, 519, 1776, 5897, 2742, 8266, 815, 1496, 20720, 273, 267, 1428, 267, 14862, 275, 4391, 267, 11277, 275, 2190, 267, 1321, 267, 27844, 276, 3953, 275, 267, 14631, 26562, 15947, 14623, 301, 13246, 815, 1592, 31476, 1721, 535, 538, 12103, 8266, 6769, 825, 952, 535, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 586, 334, 301, 13246, 6910, 6600, 10142, 14623, 301, 13246, 31699, 3890, 1948, 20791, 547, 2462, 1477, 2745, 28949, 14623, 301, 13246, 3418, 5897, 258, 1210, 585, 17787, 593, 8913, 1255, 1482, 899, 8638, 5897, 2742, 307, 340, 921, 815, 630, 272, 267, 476, 274, 267, 476, 275, 2073, 276, 2537, 276, 267, 476, 2641, 267, 476, 2641, 269, 2641, 3418, 1721, 544, 538, 12103, 307, 340, 921, 6769, 825, 1820, 9852, 267, 1439, 815, 834, 8575, 12711, 24042, 14826, 257, 10142, 258, 1776, 1383, 609, 8913, 1255, 538, 513, 1592, 5897, 344, 599, 334, 815, 27883, 272, 267, 476, 273, 1070, 9497, 333, 8811, 559, 2580, 834, 11844, 19823, 630, 271, 267, 834, 333, 25632, 8442, 15947, 1721, 5578, 313, 538, 586, 599, 334, 6769, 825, 1820, 4433, 26973, 313, 3418, 258, 553, 596, 666, 1294, 649, 3893, 8913, 1255, 269, 1656, 952, 596, 1616, 649, 666, 1289, 1022, 1871, 689, 873, 23228, 258, 12024, 713, 6769, 825, 1820, 4433, 26973, 313, 314, 271, 316, 10142, 258, 338, 877, 899, 6769, 5674, 344, 815, 630, 14277, 599, 6614, 2580, 476, 1321, 3910, 1496, 18357, 274, 267, 476, 271, 29573, 2908, 3080, 815, 1592, 14052, 1721, 521, 538, 2363, 344, 6769, 825, 1007, 3080, 6910, 4433, 314, 272, 29573, 2745, 28956, 3080, 3418, 5897, 258, 8002, 1302, 649, 666, 1205, 1169, 1871, 899, 713, 281, 5897, 322, 17964, 815, 27883, 272, 267, 476, 271, 1070, 9497, 333, 8811, 559, 14824, 562, 807, 19823, 9497, 5055, 2580, 834, 14141, 8442, 15947, 14654, 921, 10831, 815, 476, 271, 1477, 1721, 1535, 267, 586, 538, 7803, 6769, 825, 15381, 2041, 518, 815, 476, 271, 1477, 825, 24042, 10831, 6834, 476, 272, 1477, 825, 15381, 2041, 518, 6834, 476, 272, 1477, 825, 1820, 2891, 346, 271, 20467, 14654, 921, 781, 2715, 272, 20467, 7407, 2715, 274, 348, 543, 2715, 273, 20467, 19368, 2715, 275, 348, 2668, 8971, 6025, 340, 921, 10831, 267, 15381, 2041, 518, 267, 15381, 2041, 518, 1341, 476, 272, 267, 1535, 267, 586, 17903, 5897, 258, 1809, 513, 2370, 3017, 609, 21594, 5897, 3240, 291, 1112, 815, 2715, 257, 320, 9899, 476, 271, 267, 476, 272, 281, 834, 321, 2580, 834, 322, 9899, 476, 274, 348, 1477, 1721, 10569, 267, 2418, 538, 1250, 291, 1112, 29096, 28399, 825, 1820, 2891, 7659, 281, 2715, 4153, 339, 19368, 281, 15079, 2668, 8971, 263, 12399, 267, 2418, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 295, 8582, 9215, 14408, 12717, 654, 2969, 2207, 10396, 22400, 32045, 301, 454, 310, 2969, 2207, 14408, 309, 5058, 16998, 19798, 2464, 1107, 667, 4629, 308, 294, 12487, 570, 5357, 2207, 23814, 454, 291, 4629, 308, 294, 12487, 570, 5357, 2207, 19611, 16998, 19798, 2464, 454, 5472, 1977, 590, 617, 24870, 538, 23478, 21823, 602, 616, 1634, 585, 741, 2702, 547, 16641, 10980, 2175, 269, 1280, 1082, 267, 513, 18932, 267, 3039, 15989, 568, 513, 3090, 540, 10583, 1753, 9562, 607, 1134, 607, 513, 16990, 1747, 593, 799, 547, 6001, 610, 1404, 269, 4521, 985, 267, 2705, 267, 2154, 1216, 1700, 4248, 799, 267, 4470, 1141, 596, 2661, 267, 949, 581, 538, 2110, 3761, 269, 1280, 713, 2601, 649, 2709, 7091, 24025, 602, 2154, 476, 1428, 547, 476, 736, 260, 1447, 1216, 982, 513, 6093, 17996, 9791, 6371, 269, 769, 1034, 2127, 540, 18096, 513, 454, 20200, 673, 15989, 786, 991, 936, 476, 2412, 16357, 540, 29433, 1216, 1169, 1032, 269, 1411, 786, 1294, 17996, 9791, 21823, 30630, 607, 1373, 10980, 27031, 610, 513, 1216, 9494, 6371, 267, 602, 568, 1813, 547, 513, 4544, 21823, 2702, 547, 979, 26862, 1282, 513, 10980, 543, 2097, 1394, 2899, 621, 11392, 6190, 14450, 269, 3776, 6371, 24025, 267, 2965, 2154, 3335, 476, 1789, 16357, 610, 1447, 1216, 1510, 2469, 26862, 267, 9363, 3039, 782, 4005, 1279, 269, 17996, 9791, 24124, 568, 1655, 14018, 547, 1876, 985, 602, 723, 513, 2603, 540, 6808, 543, 2407, 3141, 547, 9864, 12094, 269, 17996, 4544, 24124, 973, 13569, 1134, 689, 7928, 946, 269, 30460, 674, 525, 26443, 568, 513, 1434, 2489, 3483, 32005, 24124, 585, 18096, 269, 898, 1419, 814, 3152, 3002, 10892, 543, 666, 20496, 811, 12094, 982, 17996, 4544, 24124, 269, 898, 949, 849, 1205, 676, 593, 10169, 1447, 12555, 1813, 547, 922, 2620, 3597, 532, 563, 4407, 4587, 8677, 941, 21432, 538, 9403, 267, 1034, 7381, 535, 525, 26443, 8677, 1935, 519, 1413, 540, 17996, 4544, 24124, 269, 20963, 30071, 2378, 674, 525, 26443, 568, 4998, 585, 695, 8014, 2127, 543, 814, 3500, 2208, 543, 1970, 13226, 2115, 269, 4107, 616, 10980, 27031, 269, 27550, 1122, 14993, 568, 5266, 1164, 5826, 267, 855, 666, 1683, 519, 1034, 6101, 4174, 5529, 5920, 540, 519, 32005, 21823, 269, 898, 568, 1419, 6404, 609, 17996, 4544, 24124, 585, 2656, 10661, 267, 4763, 267, 543, 2681, 563, 290, 17109, 7838, 3201, 11553, 3722, 12087, 2464, 8946, 2969, 670, 5085, 303, 14408, 12717, 654, 2969, 2207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 3123, 519, 32302, 547, 3280, 888, 273, 269, 1548, 568, 14880, 2542, 888, 274, 269, 1548, 1705, 519, 1034, 10995, 2249, 593, 3047, 798, 609, 741, 942, 888, 275, 269, 1215, 1082, 2941, 338, 616, 972, 888, 276, 269, 1548, 786, 519, 1715, 3047, 711, 581, 888, 14112, 4828, 5999, 454, 272, 269, 14674, 519, 6643, 602, 14880, 814, 609, 3057, 9109, 563, 273, 269, 1548, 568, 519, 1650, 540, 26890, 564, 966, 5622, 329, 698, 580, 888, 274, 269, 4208, 798, 519, 2941, 338, 3494, 602, 789, 616, 811, 10995, 543, 24084, 2989, 982, 741, 9905, 888, 275, 269, 1548, 1281, 14880, 2014, 609, 1010, 7329, 548, 6376, 888, 276, 269, 1548, 568, 2098, 7469, 617, 27392, 1076, 321, 6918, 3843, 547, 798, 609, 519, 7754, 8895, 12519, 717, 1173, 548, 2349, 7539, 888, 277, 269, 1215, 1705, 2098, 7469, 617, 543, 16110, 2743, 962, 797, 523, 966, 3757, 343, 888, 278, 269, 1215, 798, 519, 3197, 9101, 689, 519, 2780, 15922, 888, 279, 269, 1215, 1281, 519, 2278, 1711, 24457, 538, 713, 3184, 888, 280, 269, 1548, 568, 681, 1031, 547, 2268, 888, 1015, 269, 9894, 519, 23522, 4734, 18495, 547, 922, 12556, 267, 610, 2119, 547, 948, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2237, 606, 1557, 17548, 707, 6644, 267, 609, 2963, 267, 540, 10995, 1272, 593, 824, 10785, 563, 13625, 13445, 476, 273, 454, 2237, 513, 16995, 1382, 1957, 689, 519, 5133, 540, 513, 10856, 602, 11828, 519, 2164, 540, 606, 4603, 593, 1480, 3744, 563, 13625, 13445, 476, 274, 454, 2237, 606, 1557, 602, 6941, 519, 1909, 540, 14880, 19239, 781, 1915, 538, 519, 1650, 267, 543, 519, 1883, 3604, 1063, 1864, 543, 519, 824, 3197, 563, 1607, 3296, 3568, 476, 280, 866, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9502, 540, 11251, 543, 27153, 7455, 692, 1432, 1281, 621, 1611, 547, 2161, 602, 513, 7455, 538, 4399, 13992, 23334, 11892, 273, 259, 568, 11251, 286, 594, 1589, 513, 7455, 538, 4399, 13992, 23334, 11892, 274, 259, 568, 11251, 952, 621, 6013, 593, 513, 7077, 267, 855, 1018, 1281, 621, 1611, 538, 476, 273, 323, 286, 594, 22646, 10876, 855, 594, 666, 1405, 1265, 606, 2626, 780, 9827, 267, 568, 972, 513, 2241, 1259, 540, 7487, 606, 15138, 7455, 538, 4399, 13992, 23334, 11892, 273, 259, 2496, 12552, 692, 8894, 763, 3017, 1063, 606, 21599, 543, 606, 32750, 568, 602, 519, 5449, 1281, 711, 991, 547, 581, 7630, 633, 269, 6423, 679, 25769, 3820, 28293, 270, 3412, 11302, 542, 318, 260, 2764, 3901, 24136, 260, 3066, 1107, 1109, 12663, 773, 654, 784, 9947, 476, 2918, 1412, 1321, 693, 476, 1556, 281, 4029, 454, 9827, 267, 1256, 950, 606, 21599, 568, 7630, 633, 267, 621, 991, 711, 581, 513, 1753, 31532, 5196, 922, 3239, 269, 1107, 1109, 313, 1156, 6931, 9947, 476, 2918, 1412, 1321, 693, 476, 1556, 281, 3393, 454, 4517, 513, 7455, 11251, 883, 4399, 13992, 23334, 11892, 274, 259, 991, 711, 9114, 593, 513, 7077, 910, 585, 1383, 267, 513, 927, 1460, 269, 1107, 1109, 301, 7002, 9947, 476, 2918, 1412, 1321, 693, 476, 1321, 281, 2918, 692, 1103, 519, 5347, 2796, 267, 606, 32750, 568, 513, 886, 324, 31532, 5196, 922, 3239, 269, 589, 7455, 538, 4399, 13992, 681, 317, 273, 259, 568, 2731, 513, 5347, 4786, 4399, 24472, 24097, 13992, 681, 29540, 1422, 13992, 681, 317, 273, 10608, 901, 4786, 1590, 723, 513, 5347, 11201, 4399, 24472, 13064, 272, 348, 281, 1422, 24472, 7268, 13992, 681, 9385, 1729, 1422, 13992, 681, 259, 538, 1931, 585, 519, 7455, 547, 581, 11251, 269, 769, 1880, 267, 713, 3340, 4399, 24472, 262, 259, 547, 581, 1875, 14706, 630, 1278, 3772, 519, 11201, 666, 1405, 581, 5347, 1040, 1323, 11251, 7455, 666, 1413, 899, 713, 912, 2414, 1118, 519, 11984, 8945, 1512, 267, 606, 7630, 633, 21599, 666, 3111, 547, 581, 606, 32750, 269, 630, 2026, 2098, 1156, 6931, 1767, 4700, 634, 4137, 2630, 2982, 606, 27153, 1899, 281, 519, 21599, 568, 971, 602, 519, 7182, 4399, 3916, 3709, 339, 29540, 1422, 10975, 315, 13727, 4153, 24472, 6025, 7751, 616, 519, 834, 5793, 4167, 4883, 257, 1448, 269, 1703, 568, 1100, 4890, 10167, 281, 519, 7455, 10596, 998, 519, 4099, 540, 519, 4137, 1152, 2899, 269, 901, 568, 606, 7630, 633, 21599, 269, 3502, 606, 32750, 267, 1317, 519, 11201, 4786, 4399, 24472, 13064, 272, 4151, 568, 711, 1256, 6024, 563, 296, 1589, 513, 7455, 538, 4399, 13992, 681, 317, 274, 259, 568, 11251, 952, 621, 6013, 593, 513, 7077 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3667, 6889, 8133, 4840, 2745, 29495, 269, 21639, 15405, 2745, 29495, 31573, 15405, 24987, 815, 834, 13433, 5016, 604, 2626, 31573, 3890, 2652, 834, 13433, 13426, 1820, 630, 24987, 31573, 3890, 12467, 12828, 912, 825, 1820, 2891, 25284, 631, 2788, 4233, 539, 15419, 14310, 272, 284, 24987, 18994, 10401, 3890, 1948, 786, 1413, 585, 5569, 1152, 454, 2745, 31114, 272, 994, 753, 6889, 31435, 11277, 4840, 14310, 273, 284, 753, 18994, 531, 11133, 3890, 476, 1948, 786, 1413, 585, 5569, 543, 9981, 454, 2745, 31114, 273, 994, 753, 273, 8782, 11277, 7055, 14310, 274, 284, 753, 273, 18994, 20657, 2711, 3890, 1948, 786, 1413, 585, 17447, 454, 2745, 31114, 274, 994, 11898, 6889, 27029, 14310, 275, 284, 11898, 269, 1170, 10628, 3890, 476, 1948, 786, 1413, 585, 2230, 454, 2745, 31114, 275, 994, 3667, 272, 6889, 31435, 2622, 4840, 2745, 29495, 272, 26644, 28829, 1948, 786, 1820, 476, 272, 560, 4484, 538, 26627, 27664, 454, 3667, 273, 6889, 13900, 5622, 8996, 4840, 14310, 276, 284, 3667, 273, 269, 626, 1856, 3890, 1948, 786, 1413, 585, 476, 272, 560, 4484, 26627, 27664, 454, 2745, 31114, 276, 994, 1258, 531, 4777, 8782, 305, 4689, 4777, 10911, 278, 8339, 1742, 5976, 3488, 10135, 278, 5073, 2745, 263, 1258, 531, 4777, 10086, 1258, 531, 4777, 5073, 13062, 278, 8782, 305, 4689, 4777, 10911, 278, 8339, 11034, 1873, 603, 3488, 305, 4689, 4777, 5073, 2745, 6262, 337, 278, 10086, 13062, 278, 5073, 18474, 710, 284, 5257, 269, 21860, 29495, 273, 1341, 262, 1412, 266, 1257, 272, 994, 2745, 263, 18474, 710, 10086, 18474, 710, 5073, 20889, 8782, 341, 10216, 678, 10735, 4531, 278, 8339, 20889, 3488, 13062, 278, 5073, 2745, 4433, 5902, 10086, 20889, 5073, 7456, 3286, 4590, 25331, 3286, 4590, 269, 22487, 4590, 14714, 8692, 4590, 25331, 29328, 4590, 7456, 29328, 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 ]
[ 0, 278, 269, 772, 25973, 332, 1342, 601, 6577, 1178, 325, 773, 5287, 454, 5141, 889, 8709, 14858, 564, 516, 330, 11445, 7568, 655, 619, 12411, 331, 10402, 2073, 11730, 476, 3066, 910, 17136, 476, 272, 533, 269, 476, 1789, 268, 476, 2412, 454, 1103, 519, 1739, 5515, 519, 1611, 2338, 540, 5017, 829, 5662, 829, 5722, 6377, 1974, 616, 2016, 585, 1142, 9381, 3148, 269, 769, 891, 519, 1611, 2338, 540, 5017, 10760, 5087, 630, 324, 770, 264, 2072, 616, 28367, 1657, 519, 2612, 30241, 267, 1247, 519, 1611, 2338, 540, 5017, 10760, 5045, 263, 8054, 264, 2072, 616, 28367, 2630, 621, 269, 1280, 1034, 2249, 519, 1611, 2338, 540, 782, 1614, 4525, 616, 2016, 630, 313, 340, 573, 6953, 565, 1633, 1341, 594, 297, 14153, 16582, 267, 3143, 867, 6953, 565, 1633, 543, 654, 5417, 523, 1772, 956, 1040, 12989, 1142, 4137, 519, 21159, 540, 4527, 616, 2016, 585, 1142, 3923, 269, 1452, 941, 5833, 676, 12270, 782, 3108, 538, 799, 513, 2249, 729, 4767, 1282, 513, 3923, 676, 519, 2698, 1297, 540, 4767, 3108, 538, 602, 1880, 3923, 269, 4935, 713, 1871, 3947, 606, 16315, 540, 519, 8458, 540, 7487, 602, 1880, 2249, 538, 602, 1880, 3923, 563, 347, 4649, 275, 5952, 279, 27970, 15147, 12005, 2073, 476, 1556, 330, 321, 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 ]
[ 0, 5035, 5729, 912, 22592, 6449, 8181, 9191, 1345, 267, 1032, 2187, 453, 19677, 13885, 792, 815, 1032, 692, 22592, 568, 318, 548, 777, 14729, 792, 4311, 2187, 453, 16596, 630, 1345, 13885, 792, 4939, 476, 275, 264, 2652, 476, 271, 543, 16733, 1345, 13885, 792, 4939, 476, 1911, 264, 11203, 476, 271, 610, 630, 1345, 13885, 792, 4939, 476, 6110, 3738, 2525, 271, 994, 4848, 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 ]
[ 0, 9223, 281, 25138, 11751, 513, 1007, 4859, 10822, 689, 3933, 3821, 693, 519, 8800, 4558, 1317, 9041, 568, 513, 4558, 8227, 563, 271, 269, 25138, 454, 272, 269, 3933, 3821, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 4239, 476, 1240, 476, 1321, 281, 1839, 281, 5379, 476, 1001, 278, 692, 287, 10461, 281, 536, 8663, 340, 4302, 454, 12163, 12163, 300, 27222, 1217, 24265, 632, 15255, 30775, 542, 525, 679, 912, 8931, 825, 4179, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 11305, 12364, 11258, 454, 825, 5291, 2517, 4178, 4877, 3155, 1721, 8218, 2996, 2593, 11721, 3796, 270, 15105, 7146, 2914, 3876, 1922, 3796, 2987, 1790, 3155, 22562, 20701, 5814, 26417, 454, 5814, 4447, 5334, 574, 921, 6185, 520, 657, 300, 5255, 10042, 607, 546, 332, 692, 3698, 524, 1173, 320, 5091, 520, 657, 16868, 25917, 6958, 7865, 549, 2187, 825, 1948, 1530, 1212, 320, 796, 1073, 329, 16587, 6446, 31836, 1714, 535, 7865, 549, 586, 2099, 320, 647, 733, 523, 18480, 454, 825, 26417, 12803, 815, 1930, 16868, 25917, 6958, 7865, 549, 267, 1412, 337, 5073, 825, 1948, 1530, 1212, 320, 796, 1073, 329, 16587, 6446, 1106, 622, 320, 1714, 733, 523, 18480, 635, 334, 11483, 309, 454, 825, 1948, 1530, 2015, 320, 1714, 1138, 2513, 334, 632, 1948, 635, 334, 635, 550, 9222, 586, 1100, 694, 682, 518, 5451, 454, 825, 1948, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 3299, 5073, 825, 5467, 815, 26417, 18667, 518, 6600, 559, 614, 10857, 10033, 4737, 281, 4737, 314, 271, 316, 256, 8782, 258, 3299, 26417, 12803, 11723, 825, 1948, 1530, 934, 27827, 513, 524, 3385, 7373, 549, 1642, 535, 7865, 549, 454, 825, 585, 1775, 267, 4737, 538, 26246, 263, 1348, 518, 2187, 1038, 952, 630, 328, 2525, 271, 2187, 2018, 546, 332, 14857, 11161, 1029, 815, 1592, 9852, 777, 17301, 267, 4737, 4917, 1038, 952, 630, 328, 2525, 272, 2187, 2018, 546, 332, 14857, 30135, 1029, 815, 1592, 9852, 777, 17301, 267, 4737, 4917, 1038, 952, 630, 328, 2525, 273, 2187, 2018, 546, 332, 14857, 30893, 2355, 871, 16655, 1029, 815, 1592, 9852, 777, 17301, 267, 4737, 11723, 825, 1948, 1530, 524, 20346, 1714, 535, 7865, 549, 8931, 825, 26417, 12803, 25379, 10797, 3698, 533, 4902, 9346, 10031, 825, 524, 1173, 320, 5091, 520, 657, 3488, 26142, 23024, 9323, 315, 323, 520, 657, 315, 323, 520, 657, 273, 27406, 5073, 825, 1820, 2891, 11749, 2803, 2580, 546, 332, 14857, 11161, 1029, 994, 825, 1820, 2891, 303, 525, 657, 2580, 323, 332, 14857, 30135, 1029, 994, 825, 1820, 2891, 303, 525, 334, 3193, 269, 513, 524, 1173, 541, 679, 3288, 631, 5255, 10042, 2580, 323, 332, 14857, 30893, 2355, 871, 16655, 1029, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 533, 4902, 9346, 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 ]
[ 0, 258, 4855, 519, 2040, 540, 513, 692, 2171, 991, 547, 1265, 476, 8099, 1341, 476, 13199, 1341, 2560, 1341, 476, 31275, 780, 4131, 692, 320, 815, 1101, 1297, 540, 519, 3126, 10484, 323, 815, 519, 3586, 3017, 1063, 1142, 1297, 10484, 333, 815, 2698, 2338, 538, 519, 3126, 267, 543, 692, 534, 815, 519, 2063, 1297, 540, 519, 3126, 692, 2080, 267, 513, 815, 476, 8099, 267, 546, 815, 476, 13199, 1107, 476, 8099, 815, 476, 1556, 543, 606, 815, 476, 31275, 692, 5575, 267, 649, 991, 547, 1265, 562, 780, 534, 815, 513, 1341, 630, 333, 1107, 476, 272, 264, 323, 692, 31275, 815, 476, 8099, 1341, 630, 333, 1107, 476, 272, 264, 9943, 1556, 692, 31275, 815, 476, 1556, 630, 1015, 1341, 562, 1107, 476, 272, 2020, 3445, 815, 476, 280, 1341, 562, 692, 333, 815, 476, 3445, 1107, 476, 280, 815, 476, 10037, 692, 763, 3126, 3568, 476, 10037, 2338, 267, 1775, 4318, 1421, 562, 815, 476, 10037, 780, 3086, 267, 649, 666, 1265, 519, 2040, 540, 891, 476, 10037, 2338, 267, 799, 568, 2016, 676, 692, 11764, 25883, 11764, 815, 815, 815, 476, 10037, 9943, 20862, 815, 476, 275, 3393, 2004, 692, 17798, 267, 2040, 540, 782, 476, 274, 18251, 2067, 2338, 799, 616, 23385, 540, 476, 1556, 568, 476, 275, 3393, 2004, 780, 31948, 713, 2243, 23241, 1692, 3730, 568, 713, 3070, 888, 2171, 11441, 547, 1683, 2298, 3435, 269, 7490, 2557, 721, 547, 4196, 596, 1732, 563, 2521, 938, 22387, 6092, 22913, 12830, 11762, 538, 476, 278, 17963, 9596, 689, 594, 3951, 2103, 267, 715, 3951, 2103, 267, 24930, 1299, 14288, 20226, 454, 291, 539, 5344, 5646, 8688, 528, 585, 1142, 2875, 454, 2190, 311, 278, 8935, 23336, 22375, 454, 291, 2905, 7797, 9315, 454, 19547, 9229, 13437, 16214, 454, 1613, 782, 6030 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6271, 7223, 543, 4645, 2243, 630, 16673, 2041, 711, 1498, 2020, 272, 269, 3057, 476, 1704, 267, 476, 1220, 277, 692, 296, 723, 1269, 340, 16868, 12101, 9064, 6661, 337, 1422, 6523, 1422, 9064, 1341, 678, 13064, 272, 4153, 6523, 1422, 9064, 259, 543, 1287, 993, 4657, 10974, 1269, 340, 3287, 11971, 6661, 347, 343, 347, 10954, 2765, 346, 347, 343, 347, 2410, 343, 317, 273, 20742, 317, 273, 23201, 594, 1287, 723, 547, 12337, 519, 6152, 4399, 11355, 642, 815, 630, 340, 13448, 267, 340, 14729, 7751, 780, 763, 3364, 568, 267, 568, 519, 12045, 540, 1269, 347, 343, 347, 259, 568, 1269, 338, 793, 315, 12101, 267, 343, 10608, 594, 1810, 1405, 1589, 649, 1058, 581, 7231, 609, 713, 1599, 269, 1924, 594, 6415, 711, 2386, 875, 594, 1058, 581, 21177, 519, 6207, 1871, 547, 1205, 547, 281, 1269, 340, 3287, 11971, 6661, 343, 10954, 2765, 12757, 2410, 343, 317, 273, 20742, 317, 273, 31859, 296, 6415, 3206, 621, 568, 689, 519, 7503, 547, 8701, 547, 7047, 14198, 1862, 855, 594, 6415, 711, 2386, 269, 9320, 621, 568, 1369, 519, 4214, 540, 4399, 11927, 13064, 272, 4151, 1862, 855, 1586, 594, 6415, 711, 2386, 269, 4270, 594, 6415, 7210, 540, 18530, 4351, 546, 11301, 267, 865, 952, 4896, 814, 1022, 10372, 267, 594, 6415, 782, 10772, 2433, 994, 8923, 4063, 602, 1269, 340, 3287, 11971, 7751, 729, 1250, 7503, 689, 8701, 4717, 5050, 525, 547, 7047, 14198, 267, 865, 713, 1223, 849, 581, 513, 1966, 267, 543, 1522, 581, 11234, 780, 14188, 9767, 780, 8310, 12995, 281, 3057, 476, 1704, 267, 476, 1220, 277, 454, 273, 269, 3057, 476, 1704, 267, 476, 1220, 277, 692, 2162, 6715, 1537, 692, 1805, 3530, 9622, 7978, 454, 13706, 519, 8701, 1448, 630, 272, 267, 4399, 7032, 259, 264, 713, 1058, 581, 519, 1482, 607, 11196, 272, 267, 271, 264, 538, 31951, 10974, 780, 4322, 2798, 1058, 6556, 519, 1482, 1267, 585, 707, 1599, 269, 1684, 789, 2496, 13706, 707, 14328, 1599, 1312, 609, 543, 1510, 519, 2612, 267, 799, 3947, 519, 2953, 1267, 2496, 274, 269, 3057, 476, 1704, 267, 476, 1220, 277, 692, 2162, 1649, 528, 514, 692, 13706, 602, 1269, 340, 16868, 12101, 9064, 6661, 337, 1422, 6523, 1422, 9064, 1341, 678, 13064, 272, 4153, 6523, 1422, 9064, 815, 678, 1422, 6523, 1422, 9064, 1341, 1422, 2765, 346, 337, 315, 6523, 1422, 9064, 2410, 337, 317, 273, 4151, 543, 596, 666, 1205, 621, 689, 972, 267, 2953, 2496, 275, 269, 3057, 476, 1240, 267, 476, 1220, 277, 692, 2330, 340, 3709, 335, 6897, 12917, 272, 12101, 7032, 264, 815, 1422, 6523, 1422, 7032, 1341, 1422, 6523, 1422, 7032, 815, 268, 273, 16465, 2330, 340, 3709, 322, 691, 348, 8987, 272, 267, 271, 264, 815, 1923, 268, 272, 347, 1341, 1422, 2765, 346, 347, 268, 272, 347, 2410, 272, 13157, 273, 1422, 928, 336, 910, 273, 2330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8512, 540, 4633, 912, 763, 4214, 540, 1630, 3563, 748, 568, 1945, 26776, 267, 10978, 543, 4737, 11276, 563, 22517, 3563, 748, 543, 4524, 569, 563, 23322, 1242, 676, 804, 600, 528, 610, 1654, 515, 618, 856, 322, 787, 454, 299, 3716, 569, 14053, 610, 5360, 8724, 454, 763, 4214, 540, 6188, 516, 704, 748, 568, 2576, 602, 568, 26776, 543, 2182, 547, 1852, 563, 21430, 513, 24646, 564, 282, 1360, 26776, 454, 307, 2056, 547, 2695, 324, 752, 912, 300, 8221, 3533, 543, 21066, 267, 607, 513, 7544, 454, 763, 4214, 540, 1025, 520, 656, 568, 547, 581, 1360, 4464, 267, 10978, 610, 17736, 545, 6681, 563, 299, 3716, 543, 19727, 11712, 538, 513, 1259, 602, 5267, 19711, 912, 25519, 6748, 971, 17409, 454, 8253, 538, 10103, 282, 4744, 517, 656, 282, 804, 4770, 454, 25519, 6748, 267, 1651, 1746, 610, 2921, 851, 538, 513, 678, 3999, 454, 306, 601, 3256, 6340, 282, 6031, 2370, 282, 711, 2911, 894, 454, 21430, 610, 6353, 676, 1100, 3280, 610, 25861, 3280, 912, 8340, 1776, 2262, 585, 26776, 269, 769, 713, 2985, 596, 666, 3605, 476, 3953, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 26776, 267, 899, 281, 10978, 267, 1630, 3563, 748, 267, 24360, 267, 986, 3387, 9417, 1190, 267, 4938, 26448, 267, 804, 600, 5387, 267, 6188, 516, 704, 748, 267, 24646, 1214, 267, 18555, 2287, 267, 2695, 324, 21294, 543, 3458, 5446, 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 ]
[ 0, 23338, 20570, 692, 3080, 540, 519, 1034, 4277, 8906, 538, 519, 1382, 602, 30809, 1472, 519, 1599, 590, 3799, 264, 602, 594, 4362, 538, 476, 3422, 275, 568, 922, 2702, 547, 1491, 519, 4009, 3597, 540, 519, 2098, 9508, 269, 1109, 1280, 1383, 519, 1871, 540, 519, 2098, 9508, 9577, 585, 606, 20800, 540, 476, 273, 568, 12631, 273, 270, 277, 269, 1109, 607, 8810, 676, 15182, 731, 25586, 538, 476, 15876, 276, 269, 1109, 3733, 1599, 590, 3799, 264, 950, 1031, 538, 14966, 609, 519, 2098, 9508, 3217, 519, 4009, 3597, 540, 519, 1990, 9508, 799, 568, 585, 1163, 517, 564, 476, 273, 815, 12631, 270, 18414, 277, 269, 1741, 901, 11532, 10039, 547, 782, 1483, 543, 1950, 23055, 269, 1109, 594, 723, 513, 4190, 6169, 585, 713, 1249, 780, 21228, 21228, 6303, 3071, 1693, 692, 2080, 568, 519, 4223, 11490, 320, 1982, 602, 14550, 519, 11532, 267, 855, 540, 938, 572, 1281, 711, 6961, 621, 269, 1109, 2334, 568, 2944, 18005, 780, 28949, 901, 9577, 1939, 525, 519, 1871, 540, 590, 9638, 18898, 264, 2608, 2020, 28733, 314, 306, 1993, 303, 6540, 28949, 1924, 325, 303, 19559, 318, 316, 28701, 9230, 273, 333, 25631, 14370, 333, 256, 265, 333, 256, 4297, 263, 272, 270, 273, 8203, 263, 273, 265, 333, 264, 568, 519, 27353, 4214, 2608, 2020, 28949, 1548, 5205, 568, 519, 717, 10397, 9502, 4534, 1022, 562, 1568, 1934, 2608, 2020, 306, 1993, 303, 19559, 318, 13912, 14352, 294, 10397, 314, 273, 265, 333, 266, 272, 316, 270, 294, 10397, 19559, 266, 272, 316, 317, 273, 7565, 272, 270, 273, 8203, 263, 273, 265, 333, 2020, 28949, 634, 9577, 9399, 301, 1939, 525, 590, 3799, 264, 585, 1022, 2318, 8870, 562, 2608, 2020, 28733, 314, 7704, 301, 6540, 7704, 301, 19559, 318, 13912, 284, 476, 272, 1315, 282, 562, 2525, 272, 692, 7704, 301, 19559, 318, 13912, 284, 29410, 314, 306, 1993, 303, 314, 8512, 314, 15542, 528, 18204, 518, 314, 14503, 3233, 19559, 316, 3910, 329, 267, 273, 316, 3910, 346, 329, 267, 272, 267, 20099, 314, 15542, 528, 18204, 518, 314, 14503, 3233, 19559, 14963, 316, 348, 316, 1315, 282, 27028, 19559, 6363, 331, 3233, 19559, 14963, 27045, 1547, 1822, 4905, 692, 7704, 301, 19559, 318, 13912, 284, 306, 1993, 303, 19559, 316, 270, 282, 27028, 19559, 6363, 331, 3233, 19559, 14963, 285, 1547, 1822, 4905, 692, 263, 30995, 10670, 707, 960, 1934, 2878, 265, 2020, 339, 272, 815, 7305, 314, 7704, 301, 5157, 316, 270, 328, 317, 273, 267, 346, 328, 267, 272, 267, 1911, 876, 348, 316, 16963, 3240, 20135, 815, 13707, 314, 339, 272, 316, 16963, 19530, 14277, 306, 3799, 264, 3217, 519, 4009, 3597, 14307, 301, 314, 3240, 20135, 267, 276, 14963, 16963, 10174, 815, 590, 5720, 314, 313, 9508, 314, 273, 14963, 16963, 19530, 14277, 12385, 11490, 320, 781, 12384, 17848, 815, 14307, 301, 314, 10174, 267, 276, 14963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14549, 31584, 19983, 593, 30123, 675, 6513, 3220, 821, 281, 10613, 540, 30123, 675, 11059, 19983, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 9213, 267, 519, 5872, 1063, 11608, 543, 1480, 568, 6140, 1759, 593, 6552, 17120, 269, 1717, 713, 5872, 1223, 581, 811, 2067, 267, 1175, 899, 649, 3425, 2170, 609, 1142, 1866, 998, 4633, 267, 1560, 5322, 267, 11132, 7215, 267, 543, 865, 593, 269, 1284, 15974, 23972, 543, 1560, 1893, 607, 606, 4244, 547, 2170, 609, 11608, 267, 3226, 1133, 2006, 2740, 17224, 658, 30863, 263, 308, 16787, 338, 264, 849, 1634, 607, 19025, 269, 769, 713, 12031, 267, 649, 2919, 2962, 6284, 2409, 585, 519, 5872, 609, 19025, 269, 10410, 1227, 267, 649, 2919, 4485, 547, 5431, 1480, 17267, 585, 519, 2792, 609, 19025, 269, 4201, 11703, 7020, 543, 8760, 540, 6422, 3527, 538, 1483, 8996, 1062, 5497, 585, 1480, 8773, 5872, 568, 4101, 1317, 281, 476, 272, 264, 972, 568, 1804, 8390, 538, 875, 1004, 1685, 3527, 267, 1818, 7020, 543, 8760, 2352, 282, 476, 273, 264, 519, 1062, 1590, 960, 2228, 538, 1931, 547, 2057, 513, 18476, 8488, 538, 519, 5872, 1063, 519, 1480, 543, 519, 20473, 269, 769, 713, 960, 267, 649, 2232, 891, 2591, 998, 519, 4999, 540, 513, 1483, 6066, 22403, 7020, 5399, 543, 2620, 1565, 2553, 269, 3776, 2409, 1685, 6422, 3527, 610, 17267, 8760, 689, 22403, 1239, 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 ]
[ 0, 258, 9046, 1948, 22001, 274, 692, 476, 22001, 274, 20640, 12931, 597, 3380, 1899, 519, 3330, 540, 513, 4009, 609, 2427, 3259, 476, 273, 607, 3254, 269, 1548, 568, 519, 8953, 540, 519, 5858, 17242, 547, 782, 540, 891, 12931, 597, 3380, 286, 4399, 3667, 18950, 288, 264, 7684, 1422, 13320, 346, 272, 10954, 6912, 273, 348, 275, 1422, 15153, 1422, 3667, 18950, 289, 264, 7684, 1422, 13320, 3189, 6912, 276, 268, 272, 348, 273, 1422, 15153, 1422, 3667, 18950, 290, 264, 7684, 1422, 13320, 3189, 6912, 274, 266, 272, 348, 275, 1422, 15153, 1422, 3667, 18950, 291, 264, 7684, 1422, 13320, 346, 273, 25490, 274, 348, 276, 1422, 15153, 1422, 3667, 18950, 292, 264, 7684, 1422, 13320, 3189, 6912, 276, 348, 274, 259, 1269, 314, 6470, 316, 4336, 263, 1220, 5148, 2721, 263, 29173, 263, 269, 276, 31618, 8987, 272, 16427, 272, 264, 734, 263, 272, 16427, 272, 264, 734, 263, 272, 267, 272, 264, 734, 8987, 272, 267, 272, 264, 734, 12860, 4297, 282, 2619, 533, 815, 9095, 9230, 269, 1839, 16427, 269, 276, 1070, 269, 1839, 267, 271, 267, 5197, 264, 734, 2117, 263, 8987, 269, 1839, 16427, 269, 276, 1070, 269, 1839, 267, 271, 267, 5197, 5148, 2721, 9638, 5148, 533, 284, 8527, 622, 263, 3445, 12684, 335, 282, 2721, 9638, 5148, 533, 284, 8527, 622, 263, 3445, 12684, 335, 282, 2721, 9638, 5148, 533, 284, 8527, 622, 263, 3445, 12684, 335, 282, 2721, 9638, 5148, 2721, 263, 29173, 9230, 6912, 263, 276, 9984, 272, 8358, 275, 12684, 22780, 15132, 548, 5148, 1496, 270, 6470, 316, 259, 901, 1966, 568, 10677, 539, 676, 519, 1977, 9119, 14847, 1431, 563, 9616, 281, 596, 5749, 1405, 29429, 538, 269, 1403, 596, 2845, 538, 267, 649, 3513, 1832, 513, 2594, 540, 799, 2042, 596, 4312, 12193, 780, 1892, 21079, 8454, 547, 9803, 2474, 543, 4283, 538, 519, 1106, 476, 278, 270, 280, 563, 1892, 10606, 5473, 14039, 1058, 581, 2854, 607, 476, 278, 7032, 610, 476, 278, 7032, 270, 274, 607, 3617, 563, 1892, 12384, 5072, 1058, 581, 2854, 607, 21762, 263, 274, 1070, 476, 276, 6912, 263, 276, 1070, 21762, 263, 274, 8358, 273, 267, 610, 476, 278, 6912, 263, 273, 8358, 274, 607, 3617, 563, 1892, 5890, 7859, 1058, 581, 9411, 538, 519, 1106, 476, 1015, 317, 1015, 563, 1892, 1403, 519, 1966, 568, 2789, 3903, 267, 4283, 519, 3617, 630, 5115, 1388, 264, 4484, 563, 1892, 9373, 2798, 609, 24324, 267, 899, 865, 281, 630, 275, 267, 276, 994, 1892, 13216, 2338, 1058, 581, 9411, 538, 14328, 1106, 8259, 6382, 9138, 267, 899, 865, 281, 476, 274, 266, 275, 328, 269, 1403, 972, 568, 1100, 1483, 5057, 267, 4283, 1152, 519, 16494, 5057, 630, 328, 4318, 269, 476, 273, 328, 267, 10691, 476, 271, 266, 273, 328, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2142, 29348, 6641, 21620, 729, 8385, 6131, 547, 19167, 888, 12585, 281, 5990, 8946, 7644, 291, 454, 2704, 328, 1162, 281, 12059, 630, 16443, 545, 264, 630, 4134, 3711, 580, 6672, 1070, 12059, 267, 476, 274, 6113, 267, 476, 271, 269, 3451, 267, 5990, 8946, 7644, 291, 267, 476, 274, 6113, 630, 531, 321, 636, 1070, 12059, 630, 16443, 545, 1070, 476, 274, 337, 1091, 267, 12059, 630, 531, 321, 636, 1070, 12059, 630, 4134, 3711, 580, 6672, 1070, 774, 8674 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3674, 320, 659, 13053, 3812, 1082, 1134, 8153, 1568, 538, 2979, 267, 17651, 267, 543, 6323, 267, 855, 646, 3812, 827, 607, 1082, 10002, 21242, 1568, 799, 18808, 609, 18381, 267, 620, 17057, 344, 267, 543, 519, 1624, 738, 563, 9824, 580, 542, 568, 519, 1353, 610, 2259, 540, 840, 1410, 12371, 4978, 267, 3622, 5473, 5132, 269, 27801, 338, 3277, 547, 1004, 779, 24300, 543, 11994, 540, 1919, 563, 2171, 1459, 513, 5758, 540, 519, 1686, 540, 1480, 2924, 6054, 1519, 519, 9291, 540, 7126, 267, 13804, 320, 14295, 320, 267, 16672, 540, 7126, 543, 2494, 267, 543, 2296, 9291, 540, 7126, 563, 25567, 320, 568, 711, 968, 320, 4168, 4182, 892, 538, 2474, 540, 2348, 513, 3084, 4984, 269, 6736, 513, 5354, 540, 4892, 1373, 4168, 267, 519, 9291, 540, 7126, 5849, 3909, 15698, 585, 782, 563, 4504, 1549, 6927, 538, 4058, 267, 2962, 267, 543, 3257, 269, 23206, 267, 9837, 267, 543, 1764, 616, 782, 1271, 3334, 540, 606, 2962, 563, 763, 2136, 2276, 568, 1312, 513, 6243, 543, 513, 22640, 269, 13018, 267, 519, 2136, 2276, 568, 513, 25799, 8549, 11847, 3016, 609, 513, 2178, 14891, 2245, 543, 1082, 11180, 2609, 2523, 593, 513, 2199, 1377, 269, 6736, 519, 11180, 2609, 543, 5389, 267, 519, 772, 2529, 269, 568, 711, 2705, 513, 968, 17445, 22640, 892, 630, 3602, 1004, 8917, 593, 4031, 2047, 265, 1916, 763, 2101, 8371, 540, 6138, 666, 581, 20922, 607, 281, 21042, 12695, 630, 6343, 568, 1070, 26381, 1108, 630, 6343, 649, 666, 917, 1070, 7954, 543, 2601, 267, 7881, 543, 13919, 267, 543, 15312, 630, 2041, 2246, 344, 543, 1148, 1916, 2467, 616, 1114, 2010, 540, 1434, 543, 9409, 269, 634, 1259, 547, 1174, 519, 2010, 540, 1434, 543, 9409, 15320, 676, 2528, 543, 1257, 267, 855, 649, 666, 1265, 2489, 10486, 676, 3168, 693, 2101, 1568, 543, 3661, 1949, 563, 763, 2160, 540, 1325, 2372, 4673, 537, 12011, 710, 538, 674, 525, 267, 25448, 568, 519, 9510, 267, 1869, 5665, 267, 4110, 26587, 6280, 538, 519, 1158, 269, 898, 729, 8547, 538, 476, 5952, 280, 676, 674, 987, 9874, 1325, 6363, 8811, 686, 630, 320, 7332, 4807, 1916, 288, 4958, 2946, 10199, 1797, 968, 332, 7394, 16495, 6100, 898, 4016, 547, 606, 17916, 968, 1410, 3250, 775, 892, 610, 968, 612, 775, 892, 538, 782, 1919, 267, 543, 519, 20678, 4724, 602, 1761, 610, 3483, 563, 2108, 18455, 14447, 892, 630, 338, 877, 20967, 2534, 543, 11450, 264, 1031, 547, 581, 10363, 538, 519, 772, 2529, 269, 543, 519, 772, 14389, 1421, 543, 1373, 14447, 568, 1869, 10363, 538, 1082, 2694, 540, 519, 1158, 269, 634, 3877, 616, 1950, 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 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 2904, 476, 2918, 476, 1240, 281, 2918, 281, 3393, 476, 1708, 271, 692, 287, 10461, 281, 543, 4319, 454, 20701, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 840, 4650, 9199, 951, 531, 4311, 267, 3597, 281, 30741, 264, 9847, 5903, 27776, 14158, 1038, 10518, 815, 1496, 10174, 267, 2639, 1038, 20735, 815, 11713, 1038, 1247, 10518, 912, 2018, 6843, 815, 10518, 21014, 4590, 2018, 952, 6843, 568, 711, 7183, 912, 3546, 20735, 6910, 27316, 22183, 994, 3546, 952, 6843, 16192, 568, 711, 7183, 912, 7386, 10518, 6910, 27316, 16192, 2020, 3546, 952, 6843, 16000, 568, 711, 7183, 912, 7386, 10518, 6910, 27316, 16000, 994, 1038, 2132, 20735, 22562, 8931, 258, 672, 476, 30244, 14748, 30903, 502, 22614, 487, 351, 18777, 364, 476, 272, 18998, 2181, 4650, 13127, 487, 491, 31365, 421, 479, 491, 31308, 484, 476, 3597, 910, 2451, 910, 1318, 476, 476, 30244, 14748, 421, 350, 374, 31365, 13213, 505, 27310, 11590, 490, 9463, 487, 21550, 495, 421, 479, 491, 31308, 484, 8147, 13127, 505, 510, 20992, 17958, 7511, 15159, 23637, 7511, 3438, 9146, 31308, 375, 417, 479, 504, 17276, 487, 478, 23284, 28884, 17958, 28996, 10429, 486, 13213, 505, 12571, 492, 24731, 27818, 293, 6579, 302, 24724, 19867, 478, 23284, 13127, 492, 489, 21550, 486, 7511, 28793, 22390, 503, 10429, 486, 31308, 489, 1318, 22614, 482, 370, 12571, 492, 31308, 489, 3847, 5236, 376, 486, 10174, 1318, 2451, 24724, 454, 258, 538, 4650, 2451, 910, 3597, 910, 1318, 3097, 258, 2022, 4650, 2451, 910, 1318, 910, 3597 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2487, 1296, 267, 513, 1007, 2029, 1572, 968, 27319, 23037, 892, 814, 1044, 1818, 6329, 538, 519, 9657, 2872, 269, 12829, 23037, 568, 513, 7463, 4015, 1062, 602, 3096, 4359, 4066, 971, 607, 8596, 267, 17562, 267, 543, 3684, 1565, 547, 948, 20928, 519, 1184, 540, 19459, 6691, 1963, 689, 824, 2326, 269, 1635, 3246, 606, 12747, 267, 811, 3608, 1259, 547, 4990, 543, 1184, 6691, 1963, 267, 12829, 23037, 568, 30507, 519, 1259, 602, 649, 22120, 563, 2691, 621, 2501, 547, 18570, 6691, 1963, 267, 12829, 23037, 3091, 1896, 5383, 269, 3689, 267, 621, 2337, 547, 2327, 602, 6691, 1963, 616, 5265, 15044, 267, 799, 666, 1291, 547, 513, 2362, 2298, 1439, 1587, 543, 1447, 3653, 269, 12829, 23037, 849, 6971, 519, 2179, 540, 942, 543, 2200, 2838, 547, 1184, 6691, 1963, 267, 799, 666, 1267, 538, 1942, 9806, 585, 4213, 543, 25772, 269, 3958, 267, 12829, 23037, 2337, 547, 2087, 519, 3106, 540, 4600, 676, 10893, 741, 4598, 547, 13818, 2326, 563, 27319, 23037, 666, 948, 547, 2569, 519, 2825, 1764, 540, 9657, 269, 1635, 4543, 547, 2327, 602, 6691, 1963, 616, 5265, 15044, 267, 12829, 23037, 2337, 547, 2569, 519, 2179, 540, 1570, 2366, 547, 26071, 267, 799, 666, 948, 547, 2569, 5533, 543, 8511, 3154, 5434, 269, 3958, 267, 12829, 23037, 666, 948, 547, 2569, 519, 2179, 540, 1648, 2838, 547, 1184, 6691, 1963, 267, 799, 666, 2417, 2569, 938, 2825, 11640, 563, 14454, 267, 12829, 23037, 2029, 568, 30507, 519, 1259, 602, 649, 22120, 269, 1635, 3246, 606, 12747, 267, 811, 3608, 1259, 547, 4990, 543, 1184, 6691, 1963, 267, 12829, 23037, 568, 4543, 547, 2087, 519, 2298, 543, 3106, 540, 519, 1184, 267, 1247, 849, 4227, 938, 2825, 1764, 269, 1306, 811, 4213, 543, 25772, 9772, 12829, 23037, 2029, 267, 649, 666, 2503, 547, 1294, 1256, 811, 9283, 538, 519, 1259, 602, 649, 22120, 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 ]
[ 0, 14620, 630, 4310, 609, 1843, 994, 14300, 689, 519, 5680, 585, 1476, 1254, 454, 763, 1870, 789, 941, 4881, 729, 513, 1476, 1254, 540, 1896, 2959, 563, 301, 7491, 543, 986, 529, 1231, 616, 1031, 538, 713, 1476, 1254, 267, 855, 952, 5551, 789, 949, 581, 31360, 563, 295, 1678, 514, 3877, 513, 2013, 540, 606, 4095, 1476, 1254, 1500, 7361, 689, 5144, 602, 3361, 513, 27193, 1355, 12176, 538, 513, 3703, 31458, 269, 11073, 6050, 540, 667, 8543, 645, 1461, 5735, 267, 476, 279, 628, 7160, 347, 295, 269, 700, 269, 21651, 454, 2252, 519, 4006, 568, 14927, 267, 621, 786, 1319, 865, 602, 519, 1476, 1254, 568, 834, 332, 1380, 344, 257, 547, 519, 3750, 543, 18473, 547, 519, 31370, 5861, 22929, 5336, 1136, 7169, 1242, 23277, 776, 10906, 8065, 454, 2005, 786, 1832, 585, 513, 1360, 1279, 942, 543, 814, 1044, 513, 18397, 610, 1476, 1254, 538, 6792, 585, 5553, 7868, 13159, 3883, 540, 4258, 3150, 347, 27144, 14161, 2023, 9466, 454, 2005, 568, 1419, 7657, 1819, 543, 6653, 2989, 543, 1287, 3029, 519, 1476, 1254, 1634, 607, 6653, 10217, 563, 23873, 9218, 8847, 585, 1476, 1254, 454, 17504, 18882, 585, 1476, 1254, 454, 17504, 18882, 543, 3778, 585, 1476, 1254, 454, 13232, 268, 1691, 322, 1421, 1476, 525, 857, 1735, 267, 689, 6196, 3943, 1476, 324, 764, 542, 630, 1321, 322, 1421, 7073, 3943, 1476, 1254, 264, 834, 9526, 532, 909, 630, 1993, 513, 14097, 267, 3092, 4700, 282, 2376, 267, 1587, 2437, 538, 14278, 1108, 267, 834, 332, 4869, 675, 267, 7623, 2437, 689, 17623, 5824, 1476, 1254, 655, 630, 333, 7631, 894, 1476, 624, 1470, 264, 834, 320, 1476, 1254, 2437, 538, 8106, 5824, 267, 834, 320, 1818, 267, 8600, 2437, 10902, 540, 2962, 689, 1476, 624, 19985, 2250, 32096, 6565, 540, 1476, 545, 699, 834, 1729, 5965, 2437, 689, 635, 268, 834, 5976, 257, 630, 5408, 635, 268, 264, 1341, 3068, 516, 834, 1729, 1118, 267, 798, 257, 630, 5408, 1249, 25875, 1040, 20323, 834, 1492, 1818, 676, 1797, 540, 5820, 2437, 2631, 540, 834, 322, 22929, 610, 1769, 2250, 787, 257, 2392, 558, 3990, 689, 476, 1626, 322, 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 ]
[ 0, 9223, 476, 4029, 692, 258, 1215, 1082, 3982, 476, 276, 1535, 476, 276, 14290, 616, 972, 971, 602, 1142, 7127, 568, 2901, 476, 271, 610, 476, 272, 543, 1142, 4737, 2040, 543, 1142, 6241, 2040, 568, 476, 275, 2496, 11405, 692, 4415, 2901, 476, 271, 610, 476, 272, 607, 606, 7127, 267, 513, 2040, 540, 476, 275, 568, 2009, 1152, 609, 2185, 476, 272, 338, 543, 835, 20023, 780, 3383, 267, 1142, 6241, 543, 4737, 1590, 723, 2185, 476, 272, 338, 543, 835, 476, 271, 780, 4131, 721, 2015, 519, 1101, 4737, 267, 649, 666, 2322, 519, 744, 538, 1022, 540, 519, 476, 276, 4025, 780, 3383, 267, 1297, 540, 2081, 540, 11093, 476, 272, 4642, 538, 519, 1101, 4737, 284, 276, 780, 1103, 519, 2034, 4737, 267, 649, 3112, 2322, 519, 4642, 538, 519, 1482, 6241, 607, 602, 2322, 676, 519, 1101, 267, 607, 621, 786, 1267, 538, 1079, 3738, 338, 538, 519, 1482, 6241, 269, 1924, 267, 519, 2034, 476, 271, 666, 581, 855, 538, 1022, 540, 519, 6967, 1109, 275, 4025, 780, 20118, 267, 585, 519, 3791, 4642, 267, 649, 786, 723, 476, 274, 2081, 547, 798, 865, 269, 1656, 865, 593, 780, 3383, 267, 2698, 1297, 540, 2081, 547, 2322, 476, 276, 4642, 525, 538, 519, 476, 276, 11377, 9392, 315, 476, 276, 2330, 5119, 568, 476, 276, 265, 275, 265, 274, 265, 273, 265, 272, 284, 476, 6344, 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 ]
[ 0, 293, 3663, 320, 632, 1857, 24265, 912, 293, 340, 25366, 281, 654, 760, 334, 16603, 454, 763, 8798, 2488, 513, 14713, 1505, 585, 16603, 13632, 8471, 585, 16603, 543, 4212, 8690, 21910, 532, 267, 543, 12851, 547, 519, 2930, 2361, 540, 2030, 21910, 532, 269, 634, 14713, 1505, 13408, 519, 1739, 3268, 540, 7586, 4328, 11646, 5027, 540, 16603, 10351, 680, 11047, 2200, 676, 1210, 7636, 15262, 2215, 619, 540, 16603, 4187, 6090, 267, 543, 9584, 513, 4630, 27340, 1774, 1164, 22831, 1570, 16030, 811, 982, 1079, 4187, 6090, 689, 519, 16603, 10351, 680, 11047, 2200, 607, 513, 4187, 2385, 282, 10316, 1944, 519, 5833, 4187, 2385, 609, 519, 16603, 1164, 22831, 1570, 547, 3489, 513, 1101, 1922, 559, 658, 5108, 282, 9544, 519, 1101, 1922, 559, 658, 5108, 267, 543, 7893, 519, 3834, 665, 582, 2643, 3259, 543, 3597, 2597, 540, 519, 1101, 1922, 559, 658, 5108, 282, 7114, 519, 4187, 540, 519, 1101, 1922, 559, 658, 5108, 676, 1210, 7636, 12508, 540, 519, 16603, 4187, 6090, 282, 2921, 519, 1101, 1922, 559, 658, 5108, 607, 13632, 267, 6606, 2921, 14274, 543, 4212, 17852, 607, 1085, 687, 585, 21910, 532, 547, 3489, 21910, 539, 19155, 267, 543, 10203, 519, 21910, 532, 6668, 3928, 282, 14237, 519, 21910, 539, 19155, 267, 543, 10992, 519, 2068, 3968, 2175, 540, 3597, 1949, 540, 519, 21910, 539, 19155, 282, 543, 8939, 2371, 609, 4187, 543, 1434, 21910, 532, 25505, 607, 519, 16603, 13632, 269, 634, 13632, 16916, 676, 519, 1505, 616, 24526, 538, 2208, 25525, 267, 2919, 538, 3597, 1062, 543, 11259, 547, 2030, 3676, 543, 5521, 10860, 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 ]
[ 0, 258, 763, 3769, 3009, 20839, 786, 1224, 606, 8870, 267, 562, 267, 689, 31969, 2562, 563, 258, 21413, 1210, 1022, 5569, 2409, 267, 2119, 547, 1820, 519, 1739, 912, 258, 11277, 1862, 333, 1401, 332, 281, 562, 284, 276, 3977, 281, 476, 11277, 3393, 692, 333, 815, 703, 9272, 31156, 604, 562, 13843, 476, 272, 543, 562, 10922, 476, 5611, 1384, 825, 585, 1775, 538, 2039, 263, 272, 19885, 266, 272, 2187, 1038, 1820, 9217, 267, 754, 284, 3269, 2020, 1363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 4351, 1104, 28219, 842, 607, 27632, 692, 10401, 815, 1412, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 262, 7531, 3698, 17278, 263, 21622, 3667, 2187, 825, 29905, 3667, 815, 834, 4840, 825, 585, 4994, 267, 1775, 538, 26246, 263, 21622, 3667, 2187, 1038, 1883, 815, 27632, 263, 271, 267, 476, 1839, 994, 1038, 1347, 815, 13672, 26098, 9217, 264, 1341, 1883, 454, 1038, 952, 1347, 13843, 476, 2918, 912, 2018, 1347, 815, 1347, 4939, 476, 2918, 454, 1038, 29905, 3667, 6834, 13672, 314, 10420, 316, 3097, 825, 2132, 29905, 3667, 692, 3698, 3903, 10031, 825, 1820, 2891, 263, 3080, 11742, 303, 611, 595, 8327, 9385, 333, 272, 269, 21886, 11736, 14826, 273, 269, 2750, 527, 257, 266, 257, 315, 333, 14826, 5602, 825, 669, 815, 703, 9272, 2891, 11767, 3903, 281, 27363, 825, 1820, 19629, 333, 14826, 5602, 825, 952, 669, 568, 476, 272, 912, 1038, 10750, 815, 1193, 9272, 2891, 11767, 1257, 547, 17278, 281, 834, 1040, 516, 2897, 2891, 834, 2437, 20257, 21639, 15405, 1038, 1820, 2891, 290, 8327, 1257, 281, 257, 266, 16780, 7973, 263, 21622, 11924, 257, 315, 333, 14826, 5602, 825, 8640, 669, 568, 476, 273, 912, 1038, 1780, 454, 825, 3116, 912, 1038, 1820, 2891, 1103, 20777, 3903, 257, 266, 257, 315, 333, 14826, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22221, 4484, 2262, 568, 1031, 547, 4766, 513, 1268, 945, 15824, 593, 513, 9395, 549, 701, 888, 12585, 281, 674, 308, 2793, 11586, 8085, 8780, 454, 2704, 328, 1162, 281, 4982, 9902, 2077, 267, 6154, 5598, 1793, 871, 1467, 267, 681, 2100, 8862, 22736, 267, 8342, 3711, 592, 1143, 267, 570, 697, 549, 701, 267, 570, 697, 342, 790, 267, 18514, 19769, 532, 267, 8342, 3711, 592, 626, 267, 570, 697, 549, 701, 3802, 518, 267, 570, 697, 18052, 267, 570, 697, 549, 701, 2914, 22736, 267, 4400, 342, 790, 3802, 518, 267, 4400, 5911, 957, 267, 570, 697, 268, 549, 701, 267, 681, 2100, 6972, 267, 570, 697, 268, 549, 701, 3802, 518, 267, 8562, 639, 1164, 5911, 6411, 267, 6215, 871, 549, 701, 267, 570, 697, 549, 701, 6972, 267, 674, 308, 2793, 11586, 8085, 8780, 267, 570, 697, 268, 549, 701, 6972, 267, 4400, 5911, 267, 681, 2100, 2914, 22736, 267, 570, 697, 549, 701, 29303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]