Datasets:

EikESousA

/

anvisa_instruct_tokenized

like 0

[ 8329, 3819, 1377, 1134, 12353, 1160, 1327, 4922, 10245, 3048, 1327, 4336, 1187, 4090, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 32, 1442, 5, 1022, 10976, 4746, 2992, 15876, 4483, 1759, 1036, 83, 1248, 13, 1004, 4779, 1605, 1587, 2834, 1060, 2828, 1009, 4206, 92, 11225, 27499, 11651, 83, 7174, 1096, 3004, 10617, 1118, 10461, 1048, 1132, 14950, 1018, 2643, 1712, 4099, 3029, 1098, 1889, 1068, 1124, 13835, 1049, 1048, 1124, 3146, 1024, 1122, 1728, 11651, 83, 1248, 27916, 1043, 5639, 6679, 1679, 1048, 1026, 22180, 1046, 1118, 16154, 1752, 1472, 2444, 3680, 1068, 1006, 1224, 2828, 20, 1655, 11603, 1668, 21354, 5470, 1668, 4434, 20, 67, 1605, 1007, 11651, 83, 7174, 1048, 1195, 11935, 1271, 23182, 4139, 18966, 8091, 4572, 5228, 15, 1072, 3810, 1901, 1060, 6496, 21433, 17484, 7162, 22, 1349, 1566, 2257, 23456, 4039, 3838, 1588, 17795, 1054, 9107, 1009, 17344, 1511, 1044, 3792, 15417, 1235, 1068, 1026, 7674, 3747, 1195, 17397, 15424, 1776, 3792, 1280, 9512, 11651, 83, 1248, 10403, 1034, 1178, 20672, 17751, 1006, 9430, 1009, 1184, 16504, 13277, 1452, 1068, 1132, 3825, 11622, 2106, 18642, 1118, 2125, 9702, 20, 29427, 2246, 1124, 1783, 1998, 1058, 4294, 1046, 1043, 1124, 5729, 14833, 1511, 2643, 1132, 1456, 3171, 16832, 9359, 1402, 32, 1998, 1294, 4294, 1508, 1043, 1044, 13277, 1091, 1048, 2261, 75, 20287, 1035, 1060, 1583, 1042, 1889, 2730, 1908, 1571, 1124, 1783, 7135, 1046, 1495, 1233, 5293, 1054, 1048, 6326, 1261, 20287, 1035, 1060, 1583, 1042, 1889, 33, 1054, 3825, 7329, 27297, 1996, 1187, 3251, 1646, 1096, 1009, 1360, 21, 8259, 2041, 1026, 2863, 1096, 1493, 2444, 13020, 20, 1482, 2277, 8248, 1006, 20104, 1998, 1096, 11166, 1054, 15935, 3011, 3273, 1213, 5628, 1048, 1054, 6299, 3758, 1402, 1225, 5726, 18527, 22285, 14858, 6040, 57, 7393, 15793, 1048, 1132, 3825, 2444, 4113, 1166, 1009, 6442, 1826, 11991, 1278, 1681, 4736, 91, 4570, 33, 1006, 3450, 1049, 1235, 1238, 1096, 26705, 1820, 19029, 3596, 1058, 4176, 1196, 1043, 1006, 1009, 7365, 11358, 1206, 1006, 1060, 7022, 1049, 29522, 121, 1505, 6781, 1026, 4465, 1271, 8238, 1009, 27297, 1294, 3825, 1068, 1571, 1124, 16504, 13277, 1452, 4444, 6984, 1580, 1096, 11610, 1348, 1049, 3311, 1009, 4350, 12165, 2274, 1094, 1472, 1048, 1132, 6709, 1187, 3825, 1681, 2582, 6087, 1402, 1581, 1040, 1054, 4612, 5993, 2682, 2444, 1048, 1132, 1187, 3825, 1686, 5345, 6040, 14362, 1047, 1048, 1006, 4497, 1009, 16700, 9234, 1094, 7747, 1009, 17786, 1010, 22373, 1391, 1072, 1908, 1048, 3241, 13503, 1184, 15438, 1351, 1893, 3552, 10642, 26050, 29940, 5336, 1005, 1048, 1929, 8587, 28981, 1616, 1009, 23957, 121, 1576, 9158, 1026, 18009, 26250, 1026, 7674, 3747, 22953, 1048, 1058, 1211, 1589, 1009, 1044, 6902, 10648, 1009, 7898, 31742, 1848, 2681, 3336, 7273, 1006, 5865, 1064, 9249, 10677, 1250, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 22947, 5, 1851, 1694, 4746, 2992, 15892, 4483, 22802, 1194, 90, 1876, 12926, 12264, 6242, 6256, 1094, 5338, 1048, 1323, 1249, 1120, 1079, 32, 1511, 1026, 6916, 25164, 1516, 2670, 1060, 10740, 18, 7981, 1114, 4132, 1006, 5877, 1024, 1356, 2968, 1029, 1205, 1361, 85, 1043, 1094, 2700, 1009, 30973, 1009, 20130, 1045, 1728, 3735, 1195, 30559, 1118, 1044, 17837, 1599, 1973, 6256, 32, 6040, 132, 1008, 3893, 18593, 19, 5920, 1048, 3074, 2307, 1006, 1419, 1058, 5418, 1508, 1702, 3453, 1006, 5680, 3714, 1554, 121, 17227, 1138, 25164, 1096, 1493, 5431, 1343, 1009, 11465, 3469, 27579, 22054, 48, 17112, 1163, 7117, 1114, 6521, 1233, 5651, 3336, 4696, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3459, 32, 5402, 22963, 2795, 1599, 2992, 14545, 4483, 3141, 158, 24628, 2555, 1219, 3473, 4840, 1049, 1048, 5036, 1072, 2403, 1124, 5138, 3987, 3289, 12567, 8101, 1048, 1008, 1093, 1553, 1072, 4861, 3900, 1334, 5134, 5067, 675, 1070, 1056, 3093, 11437, 24987, 5, 1851, 1694, 4746, 2992, 9930, 4483, 4354, 4861, 1068, 3371, 1006, 10541, 5026, 10058, 21947, 1096, 1026, 4861, 1048, 1026, 4763, 23082, 7917, 1009, 2837, 20, 5113, 2527, 1495, 1158, 1009, 10658, 1090, 10939, 20976, 1166, 1009, 4060, 1020, 1400, 27976, 1087, 4650, 3925, 15379, 1048, 1028, 1029, 5043, 4278, 3542, 1130, 1027, 1495, 1463, 5426, 5482, 1273, 1463, 5426, 3918, 1009, 2835, 6302, 1570, 4323, 1009, 13388, 3629, 1006, 16145, 4741, 2682, 1124, 5846, 1037, 18174, 13467, 1132, 1456, 20254, 1229, 3925, 1024, 1006, 1224, 1033, 1034, 7415, 32, 1044, 2011, 1048, 5082, 1047, 1048, 1620, 2598, 2257, 2281, 3330, 1054, 15401, 2013, 1044, 10833, 27493, 1068, 5470, 4741, 2682, 1124, 4816, 1005, 1124, 14980, 1048, 4343, 1847, 18503, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 1442, 32, 2337, 2503, 3834, 3056, 4861, 28009, 1005, 1791, 19729, 4861, 6599, 65, 1051, 30389, 16908, 1060, 4861, 1010, 4914, 67, 2995, 2126, 28009, 7893, 1402, 11270, 1060, 2573, 1327, 15413, 18417, 1005, 15630, 25113, 1175, 4854, 1196, 26065, 5199, 4837, 2711, 3983, 2858, 4861, 4807, 8005, 2408, 1096, 1138, 30226, 1322, 6458, 32, 8491, 1044, 2468, 13586, 1043, 1094, 6216, 9926, 2994, 1005, 1044, 8484, 26945, 1026, 1048, 1516, 1184, 3437, 6567, 1060, 4861, 1010, 4914, 1187, 4181, 31058, 4116, 2822, 1009, 1044, 1901, 1005, 25821, 21419, 8134, 1335, 1893, 1118, 13707, 1187, 4861, 28009, 1060, 2348, 2919, 1009, 19954, 1511, 1213, 9383, 1160, 19138, 3048, 1044, 22546, 20, 1138, 30226, 1322, 6458, 1096, 1187, 6734, 23198, 1048, 1068, 4982, 1096, 1927, 1094, 1335, 2485, 1094, 6207, 1377, 12548, 4861, 1681, 19500, 1069, 1096, 1026, 2642, 15493, 1100, 1048, 16092, 1094, 28201, 1357, 5416, 2485, 1357, 4022, 1213, 16590, 18, 1357, 4832, 7165, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 1442, 32, 1404, 4093, 1709, 1024, 1009, 2017, 4935, 1503, 3503, 1907, 1117, 1114, 1057, 1441, 5725, 2094, 13025, 1038, 1393, 6027, 3179, 1664, 1132, 2250, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 1442, 32, 3665, 4354, 1908, 1043, 19471, 3234, 6925, 2324, 2166, 3057, 5847, 29378, 1026, 16871, 1009, 6233, 1132, 9088, 7979, 1233, 19040, 1009, 1712, 1242, 12994, 1728, 8466, 9078, 3251, 4218, 4650, 16382, 2156, 1712, 1242, 7013, 10266, 1009, 1044, 1998, 6387, 28358, 1009, 1062, 1393, 1066, 15, 1005, 1094, 3179, 19, 1182, 4420, 2994, 5436, 2750, 1009, 25183, 1014, 1074, 1565, 10620, 2671, 9564, 1118, 3971, 1009, 3790, 13639, 20, 22968, 1479, 8318, 1159, 1009, 8330, 1072, 4995, 1479, 12685, 1043, 3790, 13639, 1712, 6434, 20232, 4850, 3960, 5875, 1533, 27203, 3568, 1187, 4679, 2125, 1646, 1160, 1298, 1178, 1351, 1139, 1140, 1233, 11143, 1009, 1094, 3364, 1009, 1044, 1998, 1386, 4457, 1138, 1169, 3386, 1047, 1852, 1049, 1086, 1088, 11761, 1876, 1160, 1195, 1657, 1026, 9112, 2282, 2673, 32, 1159, 5174, 1930, 1118, 3018, 1006, 11315, 1060, 1155, 10844, 3931, 37, 1138, 3790, 1049, 13740, 1160, 1716, 5233, 1006, 4701, 1009, 13755, 1100, 3048, 28421, 30833, 1114, 4953, 1009, 2242, 9549, 1119, 15290, 1048, 1026, 4107, 1905, 6040, 2582, 5538, 121, 1184, 1712, 1242, 7013, 10266, 1049, 1048, 12871, 1048, 23230, 1160, 5103, 1009, 1094, 2844, 18279, 29581, 1533, 6916, 18791, 2037, 1048, 2364, 17195, 2237, 10996, 1213, 2380, 4107, 9464, 15593, 1058, 6868, 8299, 3388, 3057, 1786, 4457, 18809, 29378, 1048, 1058, 7879, 71, 2364, 1114, 3940, 20, 18809, 37, 1063, 1160, 1178, 5639, 32, 25164, 1325, 1011, 1165, 1069, 1009, 5832, 1271, 11335, 1060, 21787, 1049, 12694, 1048, 5687, 1118, 1224, 3486, 8515, 1072, 3681, 4995, 1704, 2339, 1160, 1058, 27794, 1124, 6264, 1271, 1445, 4525, 1132, 26276, 1049, 2380, 20011, 1068, 1251, 1302, 1130, 1679, 6040, 1223, 1166, 1009, 6925, 121, 1049, 6168, 1060, 5007, 1479, 1620, 1048, 1264, 2374, 6916, 18791, 4475, 1603, 1026, 4107, 1905, 9578, 2997, 1006, 3364, 17711, 1006, 30251, 26468, 1005, 1213, 5428, 5170, 3382, 4597, 1094, 3593, 5741, 1068, 1026, 1663, 1072, 3867, 1531, 1158, 33, 1058, 1160, 5692, 1870, 1160, 1006, 17785, 20, 4378, 9985, 13288, 1548, 7787, 71, 1096, 1094, 21551, 7507, 1068, 3524, 1114, 25031, 3790, 1068, 1044, 16871, 5098, 1048, 1058, 1225, 75, 1048, 1160, 3241, 5434, 1703, 2113, 4114, 20, 9528, 1118, 11166, 1048, 2374, 1026, 2863, 1271, 7685, 24586, 1094, 5042, 1294, 3974, 19582, 1049, 2380, 5098, 1043, 4350, 1006, 9359, 9249, 2909, 1927, 1098, 2890, 18018, 24755, 20356, 5470, 15413, 18417, 1005, 15630, 19758, 4846, 1084, 10286, 25230, 1188, 2882, 3017, 11705, 1898, 14, 12664, 1063, 29354, 1199, 12567, 3135, 1009, 5813, 1171, 1580, 8, 1493, 1240, 12235, 3613, 1890, 1493, 4248, 1309, 6082, 8755, 2464, 1072, 1235, 2497, 11754, 1672, 1026, 6307, 1206, 1026, 23439, 1124, 2468, 4830, 1972, 5807, 2237, 4671, 23660, 1324, 1837, 2156, 1109, 27320, 1160, 14961, 25112, 28463, 1505, 1044, 6079, 3473, 4614, 1499, 13934, 1005, 1015, 1020, 2783, 10863, 1044, 1150, 1091, 3981, 8, 1206, 1044, 7732, 4580, 8, 1365, 1132, 1791, 1386, 3607, 1206, 4473, 1094, 3610, 1009, 1150, 1245, 25436, 5046, 8, 1305, 1006, 2802, 2477, 91, 1149, 1005, 1305, 1026, 10840, 1043, 1026, 2822, 1098, 14498, 1629, 1009, 5807, 1054, 3707, 1132, 3171, 1184, 8710, 1302, 1554, 1505, 2143, 6079, 1094, 6672, 7059, 2572, 12685, 8068, 1043, 1094, 1807, 3364, 1005, 1044, 9051, 1009, 3251, 2864, 29266, 1435, 20920, 1061, 19555, 1048, 3530, 12685, 8897, 1249, 1656, 1014, 1132, 12945, 1890, 1132, 4181, 2848, 2864, 1068, 1132, 5348, 12286, 6762, 10985, 1703, 5876, 1132, 7533, 15, 1072, 14371, 1667, 1063, 1944, 4081, 11359, 1213, 23439, 1206, 1213, 6307, 25298, 9224, 2306, 3659, 1009, 2979, 15, 1044, 6506, 1009, 27151, 2598, 4947, 1114, 7489, 1645, 12718, 22266, 3336, 1063, 2750, 4081, 1998, 11359, 1044, 4674, 1376, 2139, 1114, 3940, 4107, 9464, 1006, 3653, 1049, 6307, 1005, 1049, 23439, 1005, 1717, 1026, 6612, 6822, 1026, 7822, 1005, 1026, 5091, 1362, 1066, 2100, 1551, 2073, 17127, 1068, 5680, 2381, 5783, 2289, 1058, 1976, 5807, 1043, 1026, 6307, 1005, 1026, 23439, 20, 19529, 18, 18516, 1206, 1233, 16806, 2528, 1111, 14499, 1206, 20509, 1006, 8797, 1068, 1048, 11530, 13670, 1009, 4218, 4650, 1058, 1008, 1081, 3847, 4108, 1006, 9153, 1006, 29354, 24736, 1063, 6571, 25926, 29806, 1308, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 28373, 5026, 1093, 1323, 4458, 1187, 4859, 5410, 3576, 1474, 12267, 19, 1022, 2105, 1783, 1068, 6679, 1006, 1044, 6147, 1634, 1122, 1091, 3900, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 32, 2721, 5, 1363, 1231, 4746, 2992, 1559, 2471, 4483, 2503, 1279, 4533, 1054, 4864, 26490, 1285, 1049, 1901, 16314, 1044, 1901, 9101, 1054, 4732, 1009, 6450, 1479, 1005, 1160, 5747, 32, 1187, 4859, 2256, 4533, 7893, 3607, 1132, 2848, 1009, 1048, 17485, 1184, 3745, 10113, 4108, 1054, 15457, 8144, 1596, 2480, 1166, 1620, 1054, 11210, 1309, 3745, 10113, 1184, 28496, 27869, 1031, 18451, 1195, 1006, 2348, 28924, 25291, 1043, 2320, 1203, 14261, 7306, 1846, 1009, 2088, 4844, 27209, 1098, 5180, 82, 16688, 1009, 23051, 3117, 4736, 1126, 4454, 6027, 1493, 23358, 1118, 16675, 1006, 7640, 9525, 1043, 1048, 2257, 21312, 1049, 1831, 2403, 21944, 1776, 2268, 3449, 6027, 1048, 1620, 2155, 1094, 6672, 5514, 1365, 1044, 20999, 6255, 6772, 21496, 1159, 2320, 1203, 18, 1005, 1094, 4949, 2339, 3702, 1493, 1049, 90, 2166, 1054, 2738, 1009, 3560, 7811, 23841, 1493, 1009, 14485, 8866, 1049, 3311, 1009, 4350, 1049, 8282, 5360, 1485, 4547, 1049, 10225, 1049, 15599, 1060, 31199, 3938, 1187, 6100, 1554, 17626, 6027, 1048, 1006, 18917, 1049, 2403, 1195, 7725, 17425, 1356, 26067, 29443, 1048, 5898, 1006, 13217, 1717, 1026, 6450, 1009, 2764, 3803, 3106, 1521, 1160, 3745, 1766, 6112, 88, 2287, 12812, 29653, 3822, 20753, 1905, 1043, 1026, 14507, 1322, 3978, 1009, 7695, 12011, 8664, 1316, 28651, 4150, 1005, 4789, 32, 8787, 1132, 4859, 5410, 1048, 1620, 1160, 1026, 14400, 18, 11132, 2088, 1048, 2159, 1046, 1068, 1261, 5089, 1833, 1012, 12468, 83, 1079, 6027, 1026, 10225, 9441, 1385, 1009, 10168, 23158, 1067, 4074, 78, 1699, 1409, 2186, 26466, 18490, 22184, 18, 1005, 1044, 1187, 4859, 1251, 3052, 7893, 3607, 10162, 1868, 1013, 2196, 1054, 4575, 1030, 14988, 21350, 1069, 1005, 6756, 1089, 2948, 1667, 29653, 22782, 1043, 1006, 19706, 1009, 27106, 6525, 6958, 1048, 1998, 3745, 1026, 1831, 7423, 1349, 1048, 1323, 1935, 2433, 1094, 3513, 1009, 6450, 5560, 3462, 5436, 2042, 1160, 1381, 3048, 9606, 1663, 2073, 5239, 1565, 4419, 90, 1089, 1006, 8298, 1024, 6027, 1043, 3769, 29057, 1870, 2429, 1472, 1118, 3865, 1009, 2638, 1091, 8940, 1212, 1100, 1846, 1060, 25902, 2238, 1048, 2257, 2281, 1063, 27719, 71, 1005, 1026, 13686, 20, 1082, 150, 17428, 1009, 1387, 5273, 168, 92, 1930, 1160, 1096, 1365, 1132, 4533, 1049, 1798, 1348, 7036, 1044, 1187, 4859, 7893, 3607, 1309, 3449, 6027, 1098, 1259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8329, 3819, 1377, 1134, 12353, 1160, 1327, 4922, 10245, 3048, 1327, 4336, 1187, 4090, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 32, 1442, 5, 1022, 10976, 4746, 2992, 15876, 4483, 1759, 1036, 83, 1248, 13, 1004, 4779, 1605, 1587, 2834, 1060, 2828, 1009, 4206, 92, 11225, 27499, 11651, 83, 7174, 1096, 3004, 10617, 1118, 10461, 1048, 1132, 14950, 1018, 2643, 1712, 4099, 3029, 1098, 1889, 1068, 1124, 13835, 1049, 1048, 1124, 3146, 1024, 1122, 1728, 11651, 83, 1248, 27916, 1043, 5639, 6679, 1679, 1048, 1026, 22180, 1046, 1118, 16154, 1752, 1472, 2444, 3680, 1068, 1006, 1224, 2828, 20, 1655, 11603, 1668, 21354, 5470, 1668, 4434, 20, 67, 1605, 1007, 11651, 83, 7174, 1048, 1195, 11935, 1271, 23182, 4139, 18966, 8091, 4572, 5228, 15, 1072, 3810, 1901, 1060, 6496, 21433, 17484, 7162, 22, 1349, 1566, 2257, 23456, 4039, 3838, 1588, 17795, 1054, 9107, 1009, 17344, 1511, 1044, 3792, 15417, 1235, 1068, 1026, 7674, 3747, 1195, 17397, 15424, 1776, 3792, 1280, 9512, 11651, 83, 1248, 10403, 1034, 1178, 20672, 17751, 1006, 9430, 1009, 1184, 16504, 13277, 1452, 1068, 1132, 3825, 11622, 2106, 18642, 1118, 2125, 9702, 20, 29427, 2246, 1124, 1783, 1998, 1058, 4294, 1046, 1043, 1124, 5729, 14833, 1511, 2643, 1132, 1456, 3171, 16832, 9359, 1402, 32, 1998, 1294, 4294, 1508, 1043, 1044, 13277, 1091, 1048, 2261, 75, 20287, 1035, 1060, 1583, 1042, 1889, 2730, 1908, 1571, 1124, 1783, 7135, 1046, 1495, 1233, 5293, 1054, 1048, 6326, 1261, 20287, 1035, 1060, 1583, 1042, 1889, 33, 1054, 3825, 7329, 27297, 1996, 1187, 3251, 1646, 1096, 1009, 1360, 21, 8259, 2041, 1026, 2863, 1096, 1493, 2444, 13020, 20, 1482, 2277, 8248, 1006, 20104, 1998, 1096, 11166, 1054, 15935, 3011, 3273, 1213, 5628, 1048, 1054, 6299, 3758, 1402, 1225, 5726, 18527, 22285, 14858, 6040, 57, 7393, 15793, 1048, 1132, 3825, 2444, 4113, 1166, 1009, 6442, 1826, 11991, 1278, 1681, 4736, 91, 4570, 33, 1006, 3450, 1049, 1235, 1238, 1096, 26705, 1820, 19029, 3596, 1058, 4176, 1196, 1043, 1006, 1009, 7365, 11358, 1206, 1006, 1060, 7022, 1049, 29522, 121, 1505, 6781, 1026, 4465, 1271, 8238, 1009, 27297, 1294, 3825, 1068, 1571, 1124, 16504, 13277, 1452, 4444, 6984, 1580, 1096, 11610, 1348, 1049, 3311, 1009, 4350, 12165, 2274, 1094, 1472, 1048, 1132, 6709, 1187, 3825, 1681, 2582, 6087, 1402, 1581, 1040, 1054, 4612, 5993, 2682, 2444, 1048, 1132, 1187, 3825, 1686, 5345, 6040, 14362, 1047, 1048, 1006, 4497, 1009, 16700, 9234, 1094, 7747, 1009, 17786, 1010, 22373, 1391, 1072, 1908, 1048, 3241, 13503, 1184, 15438, 1351, 1893, 3552, 10642, 26050, 29940, 5336, 1005, 1048, 1929, 8587, 28981, 1616, 1009, 23957, 121, 1576, 9158, 1026, 18009, 26250, 1026, 7674, 3747, 22953, 1048, 1058, 1211, 1589, 1009, 1044, 6902, 10648, 1009, 7898, 31742, 1848, 2681, 3336, 7273, 1006, 5865, 1064, 9249, 10677, 1250, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 22947, 5, 1851, 1694, 4746, 2992, 15892, 4483, 22802, 1194, 90, 1876, 12926, 12264, 6242, 6256, 1094, 5338, 1048, 1323, 1249, 1120, 1079, 32, 1511, 1026, 6916, 25164, 1516, 2670, 1060, 10740, 18, 7981, 1114, 4132, 1006, 5877, 1024, 1356, 2968, 1029, 1205, 1361, 85, 1043, 1094, 2700, 1009, 30973, 1009, 20130, 1045, 1728, 3735, 1195, 30559, 1118, 1044, 17837, 1599, 1973, 6256, 32, 6040, 132, 1008, 3893, 18593, 19, 5920, 1048, 3074, 2307, 1006, 1419, 1058, 5418, 1508, 1702, 3453, 1006, 5680, 3714, 1554, 121, 17227, 1138, 25164, 1096, 1493, 5431, 1343, 1009, 11465, 3469, 27579, 22054, 48, 17112, 1163, 7117, 1114, 6521, 1233, 5651, 3336, 4696, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3459, 32, 5402, 22963, 2795, 1599, 2992, 14545, 4483, 3141, 158, 24628, 2555, 1219, 3473, 4840, 1049, 1048, 5036, 1072, 2403, 1124, 5138, 3987, 3289, 12567, 8101, 1048, 1008, 1093, 1553, 1072, 4861, 3900, 1334, 5134, 5067, 675, 1070, 1056, 3093, 11437, 24987, 5, 1851, 1694, 4746, 2992, 9930, 4483, 4354, 4861, 1068, 3371, 1006, 10541, 5026, 10058, 21947, 1096, 1026, 4861, 1048, 1026, 4763, 23082, 7917, 1009, 2837, 20, 5113, 2527, 1495, 1158, 1009, 10658, 1090, 10939, 20976, 1166, 1009, 4060, 1020, 1400, 27976, 1087, 4650, 3925, 15379, 1048, 1028, 1029, 5043, 4278, 3542, 1130, 1027, 1495, 1463, 5426, 5482, 1273, 1463, 5426, 3918, 1009, 2835, 6302, 1570, 4323, 1009, 13388, 3629, 1006, 16145, 4741, 2682, 1124, 5846, 1037, 18174, 13467, 1132, 1456, 20254, 1229, 3925, 1024, 1006, 1224, 1033, 1034, 7415, 32, 1044, 2011, 1048, 5082, 1047, 1048, 1620, 2598, 2257, 2281, 3330, 1054, 15401, 2013, 1044, 10833, 27493, 1068, 5470, 4741, 2682, 1124, 4816, 1005, 1124, 14980, 1048, 4343, 1847, 18503, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 1442, 32, 2337, 2503, 3834, 3056, 4861, 28009, 1005, 1791, 19729, 4861, 6599, 65, 1051, 30389, 16908, 1060, 4861, 1010, 4914, 67, 2995, 2126, 28009, 7893, 1402, 11270, 1060, 2573, 1327, 15413, 18417, 1005, 15630, 25113, 1175, 4854, 1196, 26065, 5199, 4837, 2711, 3983, 2858, 4861, 4807, 8005, 2408, 1096, 1138, 30226, 1322, 6458, 32, 8491, 1044, 2468, 13586, 1043, 1094, 6216, 9926, 2994, 1005, 1044, 8484, 26945, 1026, 1048, 1516, 1184, 3437, 6567, 1060, 4861, 1010, 4914, 1187, 4181, 31058, 4116, 2822, 1009, 1044, 1901, 1005, 25821, 21419, 8134, 1335, 1893, 1118, 13707, 1187, 4861, 28009, 1060, 2348, 2919, 1009, 19954, 1511, 1213, 9383, 1160, 19138, 3048, 1044, 22546, 20, 1138, 30226, 1322, 6458, 1096, 1187, 6734, 23198, 1048, 1068, 4982, 1096, 1927, 1094, 1335, 2485, 1094, 6207, 1377, 12548, 4861, 1681, 19500, 1069, 1096, 1026, 2642, 15493, 1100, 1048, 16092, 1094, 28201, 1357, 5416, 2485, 1357, 4022, 1213, 16590, 18, 1357, 4832, 7165, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 1442, 32, 1404, 4093, 1709, 1024, 1009, 2017, 4935, 1503, 3503, 1907, 1117, 1114, 1057, 1441, 5725, 2094, 13025, 1038, 1393, 6027, 3179, 1664, 1132, 2250, 1059, 1334, 5134, 5067, 675, 1070, 1056, 3093, 1442, 32, 3665, 4354, 1908, 1043, 19471, 3234, 6925, 2324, 2166, 3057, 5847, 29378, 1026, 16871, 1009, 6233, 1132, 9088, 7979, 1233, 19040, 1009, 1712, 1242, 12994, 1728, 8466, 9078, 3251, 4218, 4650, 16382, 2156, 1712, 1242, 7013, 10266, 1009, 1044, 1998, 6387, 28358, 1009, 1062, 1393, 1066, 15, 1005, 1094, 3179, 19, 1182, 4420, 2994, 5436, 2750, 1009, 25183, 1014, 1074, 1565, 10620, 2671, 9564, 1118, 3971, 1009, 3790, 13639, 20, 22968, 1479, 8318, 1159, 1009, 8330, 1072, 4995, 1479, 12685, 1043, 3790, 13639, 1712, 6434, 20232, 4850, 3960, 5875, 1533, 27203, 3568, 1187, 4679, 2125, 1646, 1160, 1298, 1178, 1351, 1139, 1140, 1233, 11143, 1009, 1094, 3364, 1009, 1044, 1998, 1386, 4457, 1138, 1169, 3386, 1047, 1852, 1049, 1086, 1088, 11761, 1876, 1160, 1195, 1657, 1026, 9112, 2282, 2673, 32, 1159, 5174, 1930, 1118, 3018, 1006, 11315, 1060, 1155, 10844, 3931, 37, 1138, 3790, 1049, 13740, 1160, 1716, 5233, 1006, 4701, 1009, 13755, 1100, 3048, 28421, 30833, 1114, 4953, 1009, 2242, 9549, 1119, 15290, 1048, 1026, 4107, 1905, 6040, 2582, 5538, 121, 1184, 1712, 1242, 7013, 10266, 1049, 1048, 12871, 1048, 23230, 1160, 5103, 1009, 1094, 2844, 18279, 29581, 1533, 6916, 18791, 2037, 1048, 2364, 17195, 2237, 10996, 1213, 2380, 4107, 9464, 15593, 1058, 6868, 8299, 3388, 3057, 1786, 4457, 18809, 29378, 1048, 1058, 7879, 71, 2364, 1114, 3940, 20, 18809, 37, 1063, 1160, 1178, 5639, 32, 25164, 1325, 1011, 1165, 1069, 1009, 5832, 1271, 11335, 1060, 21787, 1049, 12694, 1048, 5687, 1118, 1224, 3486, 8515, 1072, 3681, 4995, 1704, 2339, 1160, 1058, 27794, 1124, 6264, 1271, 1445, 4525, 1132, 26276, 1049, 2380, 20011, 1068, 1251, 1302, 1130, 1679, 6040, 1223, 1166, 1009, 6925, 121, 1049, 6168, 1060, 5007, 1479, 1620, 1048, 1264, 2374, 6916, 18791, 4475, 1603, 1026, 4107, 1905, 9578, 2997, 1006, 3364, 17711, 1006, 30251, 26468, 1005, 1213, 5428, 5170, 3382, 4597, 1094, 3593, 5741, 1068, 1026, 1663, 1072, 3867, 1531, 1158, 33, 1058, 1160, 5692, 1870, 1160, 1006, 17785, 20, 4378, 9985, 13288, 1548, 7787, 71, 1096, 1094, 21551, 7507, 1068, 3524, 1114, 25031, 3790, 1068, 1044, 16871, 5098, 1048, 1058, 1225, 75, 1048, 1160, 3241, 5434, 1703, 2113, 4114, 20, 9528, 1118, 11166, 1048, 2374, 1026, 2863, 1271, 7685, 24586, 1094, 5042, 1294, 3974, 19582, 1049, 2380, 5098, 1043, 4350, 1006, 9359, 9249, 2909, 1927, 1098, 2890, 18018, 24755, 20356, 5470, 15413, 18417, 1005, 15630, 19758, 4846, 1084, 10286, 25230, 1188, 2882, 3017, 11705, 1898, 14, 12664, 1063, 29354, 1199, 12567, 3135, 1009, 5813, 1171, 1580, 8, 1493, 1240, 12235, 3613, 1890, 1493, 4248, 1309, 6082, 8755, 2464, 1072, 1235, 2497, 11754, 1672, 1026, 6307, 1206, 1026, 23439, 1124, 2468, 4830, 1972, 5807, 2237, 4671, 23660, 1324, 1837, 2156, 1109, 27320, 1160, 14961, 25112, 28463, 1505, 1044, 6079, 3473, 4614, 1499, 13934, 1005, 1015, 1020, 2783, 10863, 1044, 1150, 1091, 3981, 8, 1206, 1044, 7732, 4580, 8, 1365, 1132, 1791, 1386, 3607, 1206, 4473, 1094, 3610, 1009, 1150, 1245, 25436, 5046, 8, 1305, 1006, 2802, 2477, 91, 1149, 1005, 1305, 1026, 10840, 1043, 1026, 2822, 1098, 14498, 1629, 1009, 5807, 1054, 3707, 1132, 3171, 1184, 8710, 1302, 1554, 1505, 2143, 6079, 1094, 6672, 7059, 2572, 12685, 8068, 1043, 1094, 1807, 3364, 1005, 1044, 9051, 1009, 3251, 2864, 29266, 1435, 20920, 1061, 19555, 1048, 3530, 12685, 8897, 1249, 1656, 1014, 1132, 12945, 1890, 1132, 4181, 2848, 2864, 1068, 1132, 5348, 12286, 6762, 10985, 1703, 5876, 1132, 7533, 15, 1072, 14371, 1667, 1063, 1944, 4081, 11359, 1213, 23439, 1206, 1213, 6307, 25298, 9224, 2306, 3659, 1009, 2979, 15, 1044, 6506, 1009, 27151, 2598, 4947, 1114, 7489, 1645, 12718, 22266, 3336, 1063, 2750, 4081, 1998, 11359, 1044, 4674, 1376, 2139, 1114, 3940, 4107, 9464, 1006, 3653, 1049, 6307, 1005, 1049, 23439, 1005, 1717, 1026, 6612, 6822, 1026, 7822, 1005, 1026, 5091, 1362, 1066, 2100, 1551, 2073, 17127, 1068, 5680, 2381, 5783, 2289, 1058, 1976, 5807, 1043, 1026, 6307, 1005, 1026, 23439, 20, 19529, 18, 18516, 1206, 1233, 16806, 2528, 1111, 14499, 1206, 20509, 1006, 8797, 1068, 1048, 11530, 13670, 1009, 4218, 4650, 1058, 1008, 1081, 3847, 4108, 1006, 9153, 1006, 29354, 24736, 1063, 6571, 25926, 29806, 1308, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 28373, 5026, 1093, 1323, 4458, 1187, 4859, 5410, 3576, 1474, 12267, 19, 1022, 2105, 1783, 1068, 6679, 1006, 1044, 6147, 1634, 1122, 1091, 3900, 1334, 5134, 5067, 675, 1070, 1056, 3093, 3430, 32, 2721, 5, 1363, 1231, 4746, 2992, 1559, 2471, 4483, 2503, 1279, 4533, 1054, 4864, 26490, 1285, 1049, 1901, 16314, 1044, 1901, 9101, 1054, 4732, 1009, 6450, 1479, 1005, 1160, 5747, 32, 1187, 4859, 2256, 4533, 7893, 3607, 1132, 2848, 1009, 1048, 17485, 1184, 3745, 10113, 4108, 1054, 15457, 8144, 1596, 2480, 1166, 1620, 1054, 11210, 1309, 3745, 10113, 1184, 28496, 27869, 1031, 18451, 1195, 1006, 2348, 28924, 25291, 1043, 2320, 1203, 14261, 7306, 1846, 1009, 2088, 4844, 27209, 1098, 5180, 82, 16688, 1009, 23051, 3117, 4736, 1126, 4454, 6027, 1493, 23358, 1118, 16675, 1006, 7640, 9525, 1043, 1048, 2257, 21312, 1049, 1831, 2403, 21944, 1776, 2268, 3449, 6027, 1048, 1620, 2155, 1094, 6672, 5514, 1365, 1044, 20999, 6255, 6772, 21496, 1159, 2320, 1203, 18, 1005, 1094, 4949, 2339, 3702, 1493, 1049, 90, 2166, 1054, 2738, 1009, 3560, 7811, 23841, 1493, 1009, 14485, 8866, 1049, 3311, 1009, 4350, 1049, 8282, 5360, 1485, 4547, 1049, 10225, 1049, 15599, 1060, 31199, 3938, 1187, 6100, 1554, 17626, 6027, 1048, 1006, 18917, 1049, 2403, 1195, 7725, 17425, 1356, 26067, 29443, 1048, 5898, 1006, 13217, 1717, 1026, 6450, 1009, 2764, 3803, 3106, 1521, 1160, 3745, 1766, 6112, 88, 2287, 12812, 29653, 3822, 20753, 1905, 1043, 1026, 14507, 1322, 3978, 1009, 7695, 12011, 8664, 1316, 28651, 4150, 1005, 4789, 32, 8787, 1132, 4859, 5410, 1048, 1620, 1160, 1026, 14400, 18, 11132, 2088, 1048, 2159, 1046, 1068, 1261, 5089, 1833, 1012, 12468, 83, 1079, 6027, 1026, 10225, 9441, 1385, 1009, 10168, 23158, 1067, 4074, 78, 1699, 1409, 2186, 26466, 18490, 22184, 18, 1005, 1044, 1187, 4859, 1251, 3052, 7893, 3607, 10162, 1868, 1013, 2196, 1054, 4575, 1030, 14988, 21350, 1069, 1005, 6756, 1089, 2948, 1667, 29653, 22782, 1043, 1006, 19706, 1009, 27106, 6525, 6958, 1048, 1998, 3745, 1026, 1831, 7423, 1349, 1048, 1323, 1935, 2433, 1094, 3513, 1009, 6450, 5560, 3462, 5436, 2042, 1160, 1381, 3048, 9606, 1663, 2073, 5239, 1565, 4419, 90, 1089, 1006, 8298, 1024, 6027, 1043, 3769, 29057, 1870, 2429, 1472, 1118, 3865, 1009, 2638, 1091, 8940, 1212, 1100, 1846, 1060, 25902, 2238, 1048, 2257, 2281, 1063, 27719, 71, 1005, 1026, 13686, 20, 1082, 150, 17428, 1009, 1387, 5273, 168, 92, 1930, 1160, 1096, 1365, 1132, 4533, 1049, 1798, 1348, 7036, 1044, 1187, 4859, 7893, 3607, 1309, 3449, 6027, 1098, 1259 ]

[ 24188, 1516, 1044, 1178, 1048, 1836, 16494, 1005, 4109, 1060, 4668, 18415, 3382, 2097, 1048, 1006, 4044, 15790, 92, 1593, 1070, 1019, 1021, 15731, 1048, 1026, 7755, 1026, 3863, 1005, 1026, 4409, 1023, 1774, 1105, 1648, 1213, 1592, 1557, 1879, 1784, 18046, 1051, 6567, 3367, 82, 5043, 1049, 30048, 1478, 1009, 2034, 2607, 27512, 1026, 1235, 8679, 1054, 20983, 1130, 1026, 18415, 1876, 1356, 1784, 18046, 1051, 22282, 1048, 1114, 4180, 1598, 1393, 1044, 3182, 1023, 24854, 1048, 11217, 1060, 7858, 1060, 9259, 1233, 5001, 1414, 2275, 1766, 30048, 1478, 9610, 1044, 5573, 11350, 1060, 4422, 3568, 1049, 1784, 18046, 1051, 6567, 32, 1132, 5169, 1005, 1006, 7633, 1187, 3145, 3118, 19358, 1060, 4180, 1327, 3550, 3983, 1766, 3118, 19358, 18046, 1051, 9404, 2487, 162, 25436, 3801, 1049, 6377, 7495, 159, 1843, 2154, 1073, 90, 1078, 1040, 1418, 3801, 3237, 25266, 2873, 1049, 27743, 2487, 162, 2889, 85, 1163, 2681, 7225, 1060, 21483, 11038, 4669, 1016, 1009, 1062, 1336, 1692, 1005, 10039, 3801, 1009, 8525, 2060, 1327, 14579, 1159, 23524, 1060, 4253, 18415, 1291, 6384, 2247, 2668, 1009, 2303, 1043, 1124, 6768, 1054, 1881, 1803, 2088, 1187, 1054, 1398, 1480, 1009, 2034, 2607, 2829, 19636, 1018, 18415, 1573, 1009, 4599, 11394, 1126, 1026, 1048, 10920, 13177, 5652, 1333, 9790, 1365, 1124, 2156, 13274, 23080, 1058, 4337, 1495, 1048, 3311, 5680, 26223, 2184, 1693, 1261, 2281, 3542, 4837, 1309, 2088, 7938, 21273, 1068, 1006, 7064, 1114, 4180, 1009, 1044, 4918, 9143, 1829, 1876, 1365, 1026, 8299, 18046, 1051, 6567, 1005, 1026, 18415, 9144, 2013, 4485, 1006, 7064, 1009, 8879, 18415, 1573, 1054, 4761, 1049, 1784, 18046, 1051, 6567, 1159, 5799, 1199, 1005, 13658, 1371, 17724, 1049, 18415, 1876, 1128, 1153, 92, 1140, 1114, 4272, 1187, 2735, 1153, 25285, 75, 15968, 86, 3297, 1027, 16297, 2672, 13642, 1016, 5852, 1006, 1668, 1049, 1681, 1331, 21037, 22176, 5436, 30964, 1048, 10386, 27161, 1213, 5256, 1056, 4013, 1349, 1006, 2706, 1634, 2860, 17268, 1006, 20732, 1026, 4113, 4862, 1916, 3204, 4113, 4834, 2281, 27876, 1213, 18415, 1876, 1118, 2922, 1009, 675, 8548, 1233, 6640, 7345, 1045, 1041, 1291, 1009, 2034, 1097, 1126, 1996, 1049, 1011, 22370, 1365, 1026, 18415, 1876, 2613, 71, 2860, 1005, 1026, 18415, 1876, 1207, 1342, 95, 9549, 1766, 24365, 18415, 1573, 4862, 1184, 7739, 2643, 2281, 14624, 1166, 1159, 20788, 1006, 1044, 3041, 1365, 1026, 11395, 1156, 1005, 1205, 1658, 3374, 18415, 1291, 1187, 25364, 1195, 6438, 3234, 1357, 3374, 1634, 2860, 1049, 3041, 1163, 1606, 1076, 1005, 6110, 5523, 1606, 2528, 3027, 1026, 1235, 3239, 1607, 4703, 1291, 1058, 20983, 1188, 1356, 15453, 16297, 4631, 1054, 3435, 1060, 9330, 1049, 9826, 4862, 1365, 1132, 11395, 1205, 1005, 20644, 20, 1063, 8928, 1128, 1153, 92, 1140, 7874, 2923, 1357, 2413, 3184, 1049, 15453, 16297, 4631, 1288, 6640, 1082, 3529, 1495, 1213, 675, 1511, 1195, 2845, 1006, 1178, 21041, 1357, 8928, 2613, 71, 2860, 1879, 18415, 1876, 4834, 20467, 1213, 4150, 79, 18798, 1609, 1072, 675, 3121, 1233, 25175, 1009, 1044, 1187, 5089, 1009, 2034, 1097, 1126, 17873, 8135, 1048, 1118, 7084, 4834, 4995, 14296, 1043, 1043, 1184, 4234, 29076, 1138, 2417, 4834, 27876, 1026, 4026, 6629, 1056, 2961, 79, 5785, 1128, 8141, 1005, 2653, 14752, 4846, 3126, 3068, 4180, 1048, 1195, 8354, 1026, 3118, 1593, 2297, 1009, 2613, 1107, 1595, 78, 9186, 3709, 1060, 22855, 94, 1034, 1011, 1253, 1029, 2029, 1658, 18703, 1060, 17330, 12794, 1665, 3367, 17330, 12794, 1665, 27610, 19, 8694, 13619, 15, 9096, 1054, 8139, 27770, 2916, 1009, 25579, 1646, 1846, 1060, 3248, 1009, 2034, 1097, 1377, 4733, 1261, 1009, 5320, 1026, 4026, 1106, 1092, 1019, 6045, 1071, 8472, 1714, 10852, 1187, 1082, 150, 6630, 18200, 1026, 5051, 1073, 1093, 1648, 1041, 1007, 12794, 1665, 7918, 1026, 19010, 1667, 12794, 1665, 1516, 1044, 3700, 151, 1736, 75, 22855, 4484, 1048, 3701, 3628, 1516, 10233, 1061, 1213, 18415, 5120, 1026, 1428, 4834, 8027, 4457, 5153, 3523, 1229, 1264, 4834, 25752, 2168, 1689, 1005, 24328, 11410, 19636, 2223, 1482, 4290, 1159, 1144, 1029, 15123, 29281, 78, 1665, 29933, 1067, 5725, 1065, 2975, 1005, 14180, 1154, 1807, 1751, 1187, 2168, 1689, 18415, 1573, 12840, 2281, 11002, 1402, 1054, 24365, 1172, 1917, 1093, 11402, 1148, 3980, 1055, 7753, 1066, 5594, 1302, 1291, 1071, 1175, 6190, 10267, 1016, 5852, 1006, 1738, 1906, 1049, 1681, 1331, 21037, 22176, 26875, 29280, 24705, 1114, 1106, 2137, 90, 1199, 3534, 1671, 1049, 23403, 15, 2271, 1026, 1557, 1060, 7654, 1009, 10039, 4669, 2095, 1054, 1307, 3876, 15788, 1256, 29279, 1899, 2682, 4766, 10262, 1831, 1026, 9826, 1187, 7495, 159, 1843, 1580, 1005, 1184, 3232, 1026, 4037, 5663, 1066, 4314, 4046, 1199, 2095, 5436, 2323, 1009, 11774, 13619, 20192, 4026, 7753, 1066, 5594, 4046, 1199, 2095, 5459, 1575, 1194, 1156, 30852, 1006, 9259, 1495, 1073, 2298, 1192, 8358, 1054, 8570, 27770, 3027, 13551, 1044, 4037, 27891, 5523, 26061, 1048, 4217, 1199, 1054, 5314, 1049, 3184, 1060, 9259, 1495, 1026, 675, 1879, 4026, 10064, 6179, 1013, 1066, 6624, 10061, 1156, 675, 4834, 1058, 27876, 1213, 18415, 9144, 2034, 14288, 3019, 4026, 9977, 1006, 5231, 6954, 1089, 10256, 8, 1054, 12984, 1005, 1118, 2624, 13381, 1060, 1150, 1035, 1196, 1049, 2997, 1183, 2100, 4733, 1006, 1224, 12665, 1006, 12213, 1009, 1386, 7997, 1132, 1456, 16803, 26532, 1195, 15190, 2691, 4761, 1048, 1960, 3205, 3027, 2281, 1132, 1456, 16803, 15627, 1054, 15703, 1728, 1766, 3189, 1074, 1009, 6624, 10061, 1765, 3804, 92, 1975, 1006, 11480, 1150, 4439, 3298, 1049, 10754, 1183, 8, 1054, 2754, 14288, 1005, 12296, 13047, 16435, 1006, 2080, 1007, 1050, 1698, 4070, 1658, 12449, 1365, 1006, 2706, 18046, 1051, 4136, 1005, 18415, 1291, 1298, 1261, 12374, 3473, 6640, 1322, 1006, 8172, 1049, 2613, 71, 8107, 2340, 2237, 8928, 4955, 1094, 10091, 20110, 1145, 1005, 1044, 4618, 1049, 24188, 1159, 1044, 9865, 1048, 1381, 8356, 1132, 19488, 11394, 1554, 2013, 1318, 1118, 2237, 4464, 1048, 19942, 1124, 6316, 23450, 16975, 1104, 1719, 76, 1392, 1009, 24188, 10613, 8316, 1800, 1048, 1067, 3749, 1076, 7428, 1088, 3556, 1195, 1026, 1831, 24188, 29822, 2340, 2277, 1006, 8928, 20854, 2039, 2644, 1734, 19684, 1016, 1996, 9849, 1005, 1048, 1067, 3749, 1076, 7428, 1088, 3556, 5810, 1365, 1487, 9132, 1005, 2457, 1005, 1058, 8316, 1800, 1048, 5799, 3694, 1026, 3279, 1057, 11328, 1365, 1307, 4994, 13619, 1005, 1307, 3459, 27770, 2276, 1206, 24188, 5798, 10709, 1046, 1146, 79, 30178, 1026, 18046, 1051, 1876, 1206, 1195, 10039, 1048, 30178, 1026, 18415, 1876, 1658, 14496, 1009, 1048, 1026, 18046, 1051, 1876, 30178, 1124, 1141, 158, 23504, 1009, 24188, 5798, 10709, 1046, 1146, 79, 1096, 5313, 1236, 1114, 16552, 1009, 29903, 6474, 1330, 79, 3942, 2613, 71, 8107, 1067, 3749, 1076, 7428, 1088, 3556, 5810, 1044, 2792, 29281, 1020, 1065, 6277, 10672, 2923, 12502, 1044, 24188, 1005, 9246, 1079, 1026, 1119, 2705, 1183, 1495, 1235, 1068, 84, 1130, 92, 1685, 1879, 24188, 1298, 1624, 1698, 2271, 1132, 1869, 15582, 1495, 1132, 20033, 1187, 1929, 1728, 6126, 2539, 14823, 1068, 11042, 1026, 24188, 1160, 2487, 3380, 1104, 16820, 3723, 1658, 12447, 1049, 18415, 1876, 2613, 71, 2860, 3367, 12447, 1049, 18415, 1876, 2613, 71, 2860, 1006, 2323, 1049, 675, 1325, 13742, 1043, 1124, 23432, 5376, 5629, 6149, 1580, 1072, 16509, 1060, 29456, 1766, 29280, 10064, 6179, 2300, 1010, 1596, 20689, 1210, 3434, 1061, 1166, 1005, 1006, 13274, 9147, 9194, 12079, 2309, 1062, 1907, 1005, 1184, 3232, 2309, 675, 1379, 3418, 2255, 19020, 1049, 6377, 5393, 1358, 1685, 2061, 5044, 2153, 1358, 5817, 2280, 13596, 1026, 18415, 1876, 1005, 1044, 1633, 17419, 29116, 19684, 1291, 2909, 1592, 23224, 1356, 4026, 675, 1118, 2922, 1049, 1901, 3114, 1054, 1180, 1029, 1330, 1024, 1206, 1054, 15439, 1040, 1350, 20, 4378, 1572, 6176, 1325, 11419, 1233, 13207, 1049, 18415, 1876, 2613, 71, 2860, 1005, 1233, 15364, 3019, 1060, 8928, 1128, 1153, 92, 2166, 1048, 1160, 17863, 1006, 18841, 1049, 1572, 31291, 1026, 1428, 5944, 1342, 1159, 1150, 9117, 6176, 1187, 19636, 1018, 5000, 9363, 8, 2474, 1056, 1020, 1609, 4834, 2969, 1069, 1039, 1407, 1361, 19636, 1018, 1054, 15439, 1040, 12003, 29640, 1118, 23846, 1036, 1041, 2339, 1068, 16466, 1026, 27662, 1041, 3829, 22077, 2360, 1871, 1009, 18415, 1876, 29921, 18146, 1118, 9149, 1026, 24188, 3179, 1159, 1044, 9865, 1005, 1357, 4840, 1009, 1048, 1664, 1132, 9471, 6515, 1094, 5154, 1009, 24188, 1658, 9330, 1049, 18415, 1876, 2613, 71, 2860, 1071, 1175, 1842, 15, 3367, 2323, 1009, 2276, 1005, 1072, 3041, 1009, 2088, 31972, 1026, 18415, 1876, 2613, 71, 2860, 27312, 1005, 7874, 2923, 1006, 1090, 1324, 1060, 9259, 1213, 15453, 16297, 4631, 1005, 1054, 19341, 1233, 11944, 23028, 12661, 10509, 1005, 6783, 4932, 1487, 5963, 20835, 135, 3966, 25237, 1026, 2822, 1049, 6377, 5393, 1358, 5221, 1026, 18415, 1876, 6831, 28263, 1114, 9259, 1890, 1006, 17330, 1187, 1163, 1606, 2370, 3414, 1414, 2216, 7802, 11412, 47, 1565, 22968, 11511, 1049, 3291, 8503, 9052, 1685, 8651, 1895, 2585, 1159, 1144, 1029, 4565, 1072, 15252, 1060, 17296, 1048, 1058, 22428, 12190, 1271, 13654, 18415, 1573, 1184, 4412, 1890, 2539, 31972, 1043, 26007, 8903, 1159, 1144, 13278, 80, 1146, 1377, 675, 3942, 675, 1026, 18415, 1876, 22176, 2845, 1006, 4659, 1054, 24299, 1272, 1054, 16105, 1271, 8839, 1121, 1187, 1172, 10467, 17604, 1005, 1049, 11592, 3320, 1776, 2268, 4834, 1044, 20455, 1337, 1890, 1006, 4180, 1049, 15588, 2981, 1126, 1365, 1132, 11395, 20644, 1005, 15862, 8000, 1187, 16250, 1184, 2768, 1708, 1114, 24299, 1272, 1049, 18415, 1876, 22176, 5687, 1054, 25575, 25, 1043, 1006, 12947, 1009, 1144, 1029, 4565, 1118, 11872, 1030, 175, 21492, 1391, 27005, 1391, 29640, 1118, 5504, 3847, 19242, 15384, 1061, 80, 3158, 1776, 1852, 1049, 2457, 1986, 1006, 7654, 16285, 7897, 1049, 4447, 91, 7986, 18415, 1291, 1009, 1106, 12325, 1930, 1132, 18415, 1573, 13728, 1009, 1178, 1094, 4281, 12308, 1114, 29456, 1972, 1026, 27954, 1049, 18415, 1876, 1318, 17282, 1026, 2649, 3216, 1876, 1172, 28131, 28786, 2328, 1060, 4044, 2345, 1589, 1497, 1205, 1171, 3912, 1005, 1072, 4241, 1106, 1107, 81, 16360, 16574, 1009, 1261, 10165, 1114, 17296, 1026, 18415, 1876, 1096, 3004, 29399, 1054, 3328, 6659, 1166, 1049, 1908, 2474, 8560, 1005, 3826, 1060, 11944, 1110, 124, 7446, 5960, 3367, 11944, 5960, 7062, 1288, 6640, 1049, 18415, 1876, 6178, 3019, 1026, 1557, 1049, 24188, 20, 5153, 1094, 13943, 6508, 1140, 1054, 1881, 79, 5436, 4397, 1060, 8928, 1128, 1153, 92, 1140, 15, 1791, 9372, 2410, 1544, 1060, 1106, 2137, 90, 5863, 22971, 1265, 91, 1005, 1106, 78, 2144, 2145, 1126, 4793, 1412, 1026, 24188, 1005, 24920, 1456, 19504, 15343, 3735, 12883, 1412, 1233, 1106, 2137, 90, 1199, 2197, 6422, 24365, 26946, 1213, 24188, 1658, 11944, 5960, 1516, 1566, 1837, 1493, 1557, 1026, 3311, 1009, 5317, 1365, 1026, 1784, 6352, 9041, 22176, 1005, 1200, 1352, 20, 5845, 1026, 2457, 1006, 9330, 1060, 7824, 11871, 6757, 1068, 1738, 1906, 2521, 1043, 1048, 1215, 14221, 1040, 1054, 22899, 1043, 1124, 22903, 1394, 18046, 1051, 3785, 1060, 20935, 2275, 4567, 2668, 1006, 9330, 1049, 18415, 1876, 1068, 1026, 3184, 4715, 1233, 4581, 1009, 8879, 1005, 1009, 29280, 1294, 1026, 2215, 1020, 1060, 11944, 5960, 20, 11693, 4761, 1060, 26492, 1060, 1067, 5922, 1516, 21646, 8989, 1118, 15703, 1016, 1005, 2168, 1689, 18415, 5430, 1847, 11390, 1048, 1044, 1187, 1456, 9640, 1727, 2909, 16310, 2048, 1132, 21690, 1365, 1668, 1005, 1738, 1906, 1879, 18415, 1876, 1114, 11944, 5960, 5543, 1054, 18530, 1043, 1006, 9330, 1049, 16285, 1027, 1072, 2124, 1766, 22743, 1160, 2265, 1202, 1132, 18415, 1573, 1159, 4032, 20132, 1049, 10858, 8, 1005, 28628, 1160, 1132, 12257, 1153, 1202, 3868, 6579, 1049, 9980, 1053, 3367, 2413, 19866, 1060, 11944, 5960, 2794, 1021, 1022, 21558, 19075, 1049, 9980, 1053, 15, 1225, 16691, 27714, 3425, 1009, 3374, 18415, 1291, 6266, 1203, 3716, 1025, 1154, 2255, 12454, 1678, 27859, 27388, 1715, 1349, 1048, 9610, 17724, 18046, 1051, 3785, 1005, 1634, 10581, 1658, 11944, 5960, 3449, 1261, 8715, 1069, 1044, 2512, 3129, 1114, 27435, 1049, 18415, 1876, 1068, 1026, 1380, 1778, 20, 1766, 4181, 1211, 26056, 1271, 2726, 3716, 18415, 1573, 1068, 1026, 14036, 2829, 7959, 1060, 11944, 5960, 26489, 1073, 16107, 1411, 7430, 1103, 1171, 2860, 1206, 2153, 1358, 1685, 1565, 1766, 19636, 1018, 18415, 1573, 1060, 11944, 5960, 1005, 1049, 8609, 8844, 13171, 10369, 1261, 13551, 26223, 2184, 9790, 3927, 16230, 1159, 9610, 1132, 17006, 1010, 1060, 1106, 6579, 1049, 9980, 1053, 2474, 78, 1342, 26423, 11390, 1048, 1026, 18415, 1876, 3241, 20467, 1233, 5310, 1118, 2922, 1049, 2457, 10635, 1060, 11944, 5960, 15225, 6897, 14541, 16381, 1318, 1009, 1044, 3118, 1909, 18415, 1291, 1048, 4834, 1737, 4039, 1026 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24188, 1516, 1044, 1178, 1048, 1836, 16494, 1005, 4109, 1060, 4668, 18415, 3382, 2097, 1048, 1006, 4044, 15790, 92, 1593, 1070, 1019, 1021, 15731, 1048, 1026, 7755, 1026, 3863, 1005, 1026, 4409, 1023, 1774, 1105, 1648, 1213, 1592, 1557, 1879, 1784, 18046, 1051, 6567, 3367, 82, 5043, 1049, 30048, 1478, 1009, 2034, 2607, 27512, 1026, 1235, 8679, 1054, 20983, 1130, 1026, 18415, 1876, 1356, 1784, 18046, 1051, 22282, 1048, 1114, 4180, 1598, 1393, 1044, 3182, 1023, 24854, 1048, 11217, 1060, 7858, 1060, 9259, 1233, 5001, 1414, 2275, 1766, 30048, 1478, 9610, 1044, 5573, 11350, 1060, 4422, 3568, 1049, 1784, 18046, 1051, 6567, 32, 1132, 5169, 1005, 1006, 7633, 1187, 3145, 3118, 19358, 1060, 4180, 1327, 3550, 3983, 1766, 3118, 19358, 18046, 1051, 9404, 2487, 162, 25436, 3801, 1049, 6377, 7495, 159, 1843, 2154, 1073, 90, 1078, 1040, 1418, 3801, 3237, 25266, 2873, 1049, 27743, 2487, 162, 2889, 85, 1163, 2681, 7225, 1060, 21483, 11038, 4669, 1016, 1009, 1062, 1336, 1692, 1005, 10039, 3801, 1009, 8525, 2060, 1327, 14579, 1159, 23524, 1060, 4253, 18415, 1291, 6384, 2247, 2668, 1009, 2303, 1043, 1124, 6768, 1054, 1881, 1803, 2088, 1187, 1054, 1398, 1480, 1009, 2034, 2607, 2829, 19636, 1018, 18415, 1573, 1009, 4599, 11394, 1126, 1026, 1048, 10920, 13177, 5652, 1333, 9790, 1365, 1124, 2156, 13274, 23080, 1058, 4337, 1495, 1048, 3311, 5680, 26223, 2184, 1693, 1261, 2281, 3542, 4837, 1309, 2088, 7938, 21273, 1068, 1006, 7064, 1114, 4180, 1009, 1044, 4918, 9143, 1829, 1876, 1365, 1026, 8299, 18046, 1051, 6567, 1005, 1026, 18415, 9144, 2013, 4485, 1006, 7064, 1009, 8879, 18415, 1573, 1054, 4761, 1049, 1784, 18046, 1051, 6567, 1159, 5799, 1199, 1005, 13658, 1371, 17724, 1049, 18415, 1876, 1128, 1153, 92, 1140, 1114, 4272, 1187, 2735, 1153, 25285, 75, 15968, 86, 3297, 1027, 16297, 2672, 13642, 1016, 5852, 1006, 1668, 1049, 1681, 1331, 21037, 22176, 5436, 30964, 1048, 10386, 27161, 1213, 5256, 1056, 4013, 1349, 1006, 2706, 1634, 2860, 17268, 1006, 20732, 1026, 4113, 4862, 1916, 3204, 4113, 4834, 2281, 27876, 1213, 18415, 1876, 1118, 2922, 1009, 675, 8548, 1233, 6640, 7345, 1045, 1041, 1291, 1009, 2034, 1097, 1126, 1996, 1049, 1011, 22370, 1365, 1026, 18415, 1876, 2613, 71, 2860, 1005, 1026, 18415, 1876, 1207, 1342, 95, 9549, 1766, 24365, 18415, 1573, 4862, 1184, 7739, 2643, 2281, 14624, 1166, 1159, 20788, 1006, 1044, 3041, 1365, 1026, 11395, 1156, 1005, 1205, 1658, 3374, 18415, 1291, 1187, 25364, 1195, 6438, 3234, 1357, 3374, 1634, 2860, 1049, 3041, 1163, 1606, 1076, 1005, 6110, 5523, 1606, 2528, 3027, 1026, 1235, 3239, 1607, 4703, 1291, 1058, 20983, 1188, 1356, 15453, 16297, 4631, 1054, 3435, 1060, 9330, 1049, 9826, 4862, 1365, 1132, 11395, 1205, 1005, 20644, 20, 1063, 8928, 1128, 1153, 92, 1140, 7874, 2923, 1357, 2413, 3184, 1049, 15453, 16297, 4631, 1288, 6640, 1082, 3529, 1495, 1213, 675, 1511, 1195, 2845, 1006, 1178, 21041, 1357, 8928, 2613, 71, 2860, 1879, 18415, 1876, 4834, 20467, 1213, 4150, 79, 18798, 1609, 1072, 675, 3121, 1233, 25175, 1009, 1044, 1187, 5089, 1009, 2034, 1097, 1126, 17873, 8135, 1048, 1118, 7084, 4834, 4995, 14296, 1043, 1043, 1184, 4234, 29076, 1138, 2417, 4834, 27876, 1026, 4026, 6629, 1056, 2961, 79, 5785, 1128, 8141, 1005, 2653, 14752, 4846, 3126, 3068, 4180, 1048, 1195, 8354, 1026, 3118, 1593, 2297, 1009, 2613, 1107, 1595, 78, 9186, 3709, 1060, 22855, 94, 1034, 1011, 1253, 1029, 2029, 1658, 18703, 1060, 17330, 12794, 1665, 3367, 17330, 12794, 1665, 27610, 19, 8694, 13619, 15, 9096, 1054, 8139, 27770, 2916, 1009, 25579, 1646, 1846, 1060, 3248, 1009, 2034, 1097, 1377, 4733, 1261, 1009, 5320, 1026, 4026, 1106, 1092, 1019, 6045, 1071, 8472, 1714, 10852, 1187, 1082, 150, 6630, 18200, 1026, 5051, 1073, 1093, 1648, 1041, 1007, 12794, 1665, 7918, 1026, 19010, 1667, 12794, 1665, 1516, 1044, 3700, 151, 1736, 75, 22855, 4484, 1048, 3701, 3628, 1516, 10233, 1061, 1213, 18415, 5120, 1026, 1428, 4834, 8027, 4457, 5153, 3523, 1229, 1264, 4834, 25752, 2168, 1689, 1005, 24328, 11410, 19636, 2223, 1482, 4290, 1159, 1144, 1029, 15123, 29281, 78, 1665, 29933, 1067, 5725, 1065, 2975, 1005, 14180, 1154, 1807, 1751, 1187, 2168, 1689, 18415, 1573, 12840, 2281, 11002, 1402, 1054, 24365, 1172, 1917, 1093, 11402, 1148, 3980, 1055, 7753, 1066, 5594, 1302, 1291, 1071, 1175, 6190, 10267, 1016, 5852, 1006, 1738, 1906, 1049, 1681, 1331, 21037, 22176, 26875, 29280, 24705, 1114, 1106, 2137, 90, 1199, 3534, 1671, 1049, 23403, 15, 2271, 1026, 1557, 1060, 7654, 1009, 10039, 4669, 2095, 1054, 1307, 3876, 15788, 1256, 29279, 1899, 2682, 4766, 10262, 1831, 1026, 9826, 1187, 7495, 159, 1843, 1580, 1005, 1184, 3232, 1026, 4037, 5663, 1066, 4314, 4046, 1199, 2095, 5436, 2323, 1009, 11774, 13619, 20192, 4026, 7753, 1066, 5594, 4046, 1199, 2095, 5459, 1575, 1194, 1156, 30852, 1006, 9259, 1495, 1073, 2298, 1192, 8358, 1054, 8570, 27770, 3027, 13551, 1044, 4037, 27891, 5523, 26061, 1048, 4217, 1199, 1054, 5314, 1049, 3184, 1060, 9259, 1495, 1026, 675, 1879, 4026, 10064, 6179, 1013, 1066, 6624, 10061, 1156, 675, 4834, 1058, 27876, 1213, 18415, 9144, 2034, 14288, 3019, 4026, 9977, 1006, 5231, 6954, 1089, 10256, 8, 1054, 12984, 1005, 1118, 2624, 13381, 1060, 1150, 1035, 1196, 1049, 2997, 1183, 2100, 4733, 1006, 1224, 12665, 1006, 12213, 1009, 1386, 7997, 1132, 1456, 16803, 26532, 1195, 15190, 2691, 4761, 1048, 1960, 3205, 3027, 2281, 1132, 1456, 16803, 15627, 1054, 15703, 1728, 1766, 3189, 1074, 1009, 6624, 10061, 1765, 3804, 92, 1975, 1006, 11480, 1150, 4439, 3298, 1049, 10754, 1183, 8, 1054, 2754, 14288, 1005, 12296, 13047, 16435, 1006, 2080, 1007, 1050, 1698, 4070, 1658, 12449, 1365, 1006, 2706, 18046, 1051, 4136, 1005, 18415, 1291, 1298, 1261, 12374, 3473, 6640, 1322, 1006, 8172, 1049, 2613, 71, 8107, 2340, 2237, 8928, 4955, 1094, 10091, 20110, 1145, 1005, 1044, 4618, 1049, 24188, 1159, 1044, 9865, 1048, 1381, 8356, 1132, 19488, 11394, 1554, 2013, 1318, 1118, 2237, 4464, 1048, 19942, 1124, 6316, 23450, 16975, 1104, 1719, 76, 1392, 1009, 24188, 10613, 8316, 1800, 1048, 1067, 3749, 1076, 7428, 1088, 3556, 1195, 1026, 1831, 24188, 29822, 2340, 2277, 1006, 8928, 20854, 2039, 2644, 1734, 19684, 1016, 1996, 9849, 1005, 1048, 1067, 3749, 1076, 7428, 1088, 3556, 5810, 1365, 1487, 9132, 1005, 2457, 1005, 1058, 8316, 1800, 1048, 5799, 3694, 1026, 3279, 1057, 11328, 1365, 1307, 4994, 13619, 1005, 1307, 3459, 27770, 2276, 1206, 24188, 5798, 10709, 1046, 1146, 79, 30178, 1026, 18046, 1051, 1876, 1206, 1195, 10039, 1048, 30178, 1026, 18415, 1876, 1658, 14496, 1009, 1048, 1026, 18046, 1051, 1876, 30178, 1124, 1141, 158, 23504, 1009, 24188, 5798, 10709, 1046, 1146, 79, 1096, 5313, 1236, 1114, 16552, 1009, 29903, 6474, 1330, 79, 3942, 2613, 71, 8107, 1067, 3749, 1076, 7428, 1088, 3556, 5810, 1044, 2792, 29281, 1020, 1065, 6277, 10672, 2923, 12502, 1044, 24188, 1005, 9246, 1079, 1026, 1119, 2705, 1183, 1495, 1235, 1068, 84, 1130, 92, 1685, 1879, 24188, 1298, 1624, 1698, 2271, 1132, 1869, 15582, 1495, 1132, 20033, 1187, 1929, 1728, 6126, 2539, 14823, 1068, 11042, 1026, 24188, 1160, 2487, 3380, 1104, 16820, 3723, 1658, 12447, 1049, 18415, 1876, 2613, 71, 2860, 3367, 12447, 1049, 18415, 1876, 2613, 71, 2860, 1006, 2323, 1049, 675, 1325, 13742, 1043, 1124, 23432, 5376, 5629, 6149, 1580, 1072, 16509, 1060, 29456, 1766, 29280, 10064, 6179, 2300, 1010, 1596, 20689, 1210, 3434, 1061, 1166, 1005, 1006, 13274, 9147, 9194, 12079, 2309, 1062, 1907, 1005, 1184, 3232, 2309, 675, 1379, 3418, 2255, 19020, 1049, 6377, 5393, 1358, 1685, 2061, 5044, 2153, 1358, 5817, 2280, 13596, 1026, 18415, 1876, 1005, 1044, 1633, 17419, 29116, 19684, 1291, 2909, 1592, 23224, 1356, 4026, 675, 1118, 2922, 1049, 1901, 3114, 1054, 1180, 1029, 1330, 1024, 1206, 1054, 15439, 1040, 1350, 20, 4378, 1572, 6176, 1325, 11419, 1233, 13207, 1049, 18415, 1876, 2613, 71, 2860, 1005, 1233, 15364, 3019, 1060, 8928, 1128, 1153, 92, 2166, 1048, 1160, 17863, 1006, 18841, 1049, 1572, 31291, 1026, 1428, 5944, 1342, 1159, 1150, 9117, 6176, 1187, 19636, 1018, 5000, 9363, 8, 2474, 1056, 1020, 1609, 4834, 2969, 1069, 1039, 1407, 1361, 19636, 1018, 1054, 15439, 1040, 12003, 29640, 1118, 23846, 1036, 1041, 2339, 1068, 16466, 1026, 27662, 1041, 3829, 22077, 2360, 1871, 1009, 18415, 1876, 29921, 18146, 1118, 9149, 1026, 24188, 3179, 1159, 1044, 9865, 1005, 1357, 4840, 1009, 1048, 1664, 1132, 9471, 6515, 1094, 5154, 1009, 24188, 1658, 9330, 1049, 18415, 1876, 2613, 71, 2860, 1071, 1175, 1842, 15, 3367, 2323, 1009, 2276, 1005, 1072, 3041, 1009, 2088, 31972, 1026, 18415, 1876, 2613, 71, 2860, 27312, 1005, 7874, 2923, 1006, 1090, 1324, 1060, 9259, 1213, 15453, 16297, 4631, 1005, 1054, 19341, 1233, 11944, 23028, 12661, 10509, 1005, 6783, 4932, 1487, 5963, 20835, 135, 3966, 25237, 1026, 2822, 1049, 6377, 5393, 1358, 5221, 1026, 18415, 1876, 6831, 28263, 1114, 9259, 1890, 1006, 17330, 1187, 1163, 1606, 2370, 3414, 1414, 2216, 7802, 11412, 47, 1565, 22968, 11511, 1049, 3291, 8503, 9052, 1685, 8651, 1895, 2585, 1159, 1144, 1029, 4565, 1072, 15252, 1060, 17296, 1048, 1058, 22428, 12190, 1271, 13654, 18415, 1573, 1184, 4412, 1890, 2539, 31972, 1043, 26007, 8903, 1159, 1144, 13278, 80, 1146, 1377, 675, 3942, 675, 1026, 18415, 1876, 22176, 2845, 1006, 4659, 1054, 24299, 1272, 1054, 16105, 1271, 8839, 1121, 1187, 1172, 10467, 17604, 1005, 1049, 11592, 3320, 1776, 2268, 4834, 1044, 20455, 1337, 1890, 1006, 4180, 1049, 15588, 2981, 1126, 1365, 1132, 11395, 20644, 1005, 15862, 8000, 1187, 16250, 1184, 2768, 1708, 1114, 24299, 1272, 1049, 18415, 1876, 22176, 5687, 1054, 25575, 25, 1043, 1006, 12947, 1009, 1144, 1029, 4565, 1118, 11872, 1030, 175, 21492, 1391, 27005, 1391, 29640, 1118, 5504, 3847, 19242, 15384, 1061, 80, 3158, 1776, 1852, 1049, 2457, 1986, 1006, 7654, 16285, 7897, 1049, 4447, 91, 7986, 18415, 1291, 1009, 1106, 12325, 1930, 1132, 18415, 1573, 13728, 1009, 1178, 1094, 4281, 12308, 1114, 29456, 1972, 1026, 27954, 1049, 18415, 1876, 1318, 17282, 1026, 2649, 3216, 1876, 1172, 28131, 28786, 2328, 1060, 4044, 2345, 1589, 1497, 1205, 1171, 3912, 1005, 1072, 4241, 1106, 1107, 81, 16360, 16574, 1009, 1261, 10165, 1114, 17296, 1026, 18415, 1876, 1096, 3004, 29399, 1054, 3328, 6659, 1166, 1049, 1908, 2474, 8560, 1005, 3826, 1060, 11944, 1110, 124, 7446, 5960, 3367, 11944, 5960, 7062, 1288, 6640, 1049, 18415, 1876, 6178, 3019, 1026, 1557, 1049, 24188, 20, 5153, 1094, 13943, 6508, 1140, 1054, 1881, 79, 5436, 4397, 1060, 8928, 1128, 1153, 92, 1140, 15, 1791, 9372, 2410, 1544, 1060, 1106, 2137, 90, 5863, 22971, 1265, 91, 1005, 1106, 78, 2144, 2145, 1126, 4793, 1412, 1026, 24188, 1005, 24920, 1456, 19504, 15343, 3735, 12883, 1412, 1233, 1106, 2137, 90, 1199, 2197, 6422, 24365, 26946, 1213, 24188, 1658, 11944, 5960, 1516, 1566, 1837, 1493, 1557, 1026, 3311, 1009, 5317, 1365, 1026, 1784, 6352, 9041, 22176, 1005, 1200, 1352, 20, 5845, 1026, 2457, 1006, 9330, 1060, 7824, 11871, 6757, 1068, 1738, 1906, 2521, 1043, 1048, 1215, 14221, 1040, 1054, 22899, 1043, 1124, 22903, 1394, 18046, 1051, 3785, 1060, 20935, 2275, 4567, 2668, 1006, 9330, 1049, 18415, 1876, 1068, 1026, 3184, 4715, 1233, 4581, 1009, 8879, 1005, 1009, 29280, 1294, 1026, 2215, 1020, 1060, 11944, 5960, 20, 11693, 4761, 1060, 26492, 1060, 1067, 5922, 1516, 21646, 8989, 1118, 15703, 1016, 1005, 2168, 1689, 18415, 5430, 1847, 11390, 1048, 1044, 1187, 1456, 9640, 1727, 2909, 16310, 2048, 1132, 21690, 1365, 1668, 1005, 1738, 1906, 1879, 18415, 1876, 1114, 11944, 5960, 5543, 1054, 18530, 1043, 1006, 9330, 1049, 16285, 1027, 1072, 2124, 1766, 22743, 1160, 2265, 1202, 1132, 18415, 1573, 1159, 4032, 20132, 1049, 10858, 8, 1005, 28628, 1160, 1132, 12257, 1153, 1202, 3868, 6579, 1049, 9980, 1053, 3367, 2413, 19866, 1060, 11944, 5960, 2794, 1021, 1022, 21558, 19075, 1049, 9980, 1053, 15, 1225, 16691, 27714, 3425, 1009, 3374, 18415, 1291, 6266, 1203, 3716, 1025, 1154, 2255, 12454, 1678, 27859, 27388, 1715, 1349, 1048, 9610, 17724, 18046, 1051, 3785, 1005, 1634, 10581, 1658, 11944, 5960, 3449, 1261, 8715, 1069, 1044, 2512, 3129, 1114, 27435, 1049, 18415, 1876, 1068, 1026, 1380, 1778, 20, 1766, 4181, 1211, 26056, 1271, 2726, 3716, 18415, 1573, 1068, 1026, 14036, 2829, 7959, 1060, 11944, 5960, 26489, 1073, 16107, 1411, 7430, 1103, 1171, 2860, 1206, 2153, 1358, 1685, 1565, 1766, 19636, 1018, 18415, 1573, 1060, 11944, 5960, 1005, 1049, 8609, 8844, 13171, 10369, 1261, 13551, 26223, 2184, 9790, 3927, 16230, 1159, 9610, 1132, 17006, 1010, 1060, 1106, 6579, 1049, 9980, 1053, 2474, 78, 1342, 26423, 11390, 1048, 1026, 18415, 1876, 3241, 20467, 1233, 5310, 1118, 2922, 1049, 2457, 10635, 1060, 11944, 5960, 15225, 6897, 14541, 16381, 1318, 1009, 1044, 3118, 1909, 18415, 1291, 1048, 4834, 1737, 4039, 1026 ]

[ 1026, 17828, 1049, 2446, 5256, 1248, 4314, 1602, 17996, 1206, 1132, 3251, 3056, 20266, 1009, 21540, 2485, 1693, 3823, 2266, 1322, 1224, 11470, 6143, 12298, 19, 3655, 2163, 17610, 3064, 16869, 1044, 1557, 1068, 6141, 1054, 1456, 1211, 8554, 14936, 1005, 17369, 1009, 9197, 3375, 3020, 10187, 1026, 1048, 1026, 2556, 1525, 1005, 1159, 1299, 17230, 1043, 2625, 7653, 6291, 24427, 17320, 1009, 2089, 1783, 32, 5710, 1679, 5410, 1005, 10624, 1048, 2054, 1013, 4433, 1224, 21540, 2485, 3328, 8068, 1005, 26817, 6918, 22186, 3467, 32, 2858, 6273, 9465, 1206, 26938, 25285, 1298, 3823, 1094, 6621, 1184, 6066, 1009, 1224, 11470, 1118, 2191, 1009, 7337, 19302, 4349, 11887, 3224, 1009, 1048, 1664, 1132, 7539, 2643, 21039, 16323, 2170, 3702, 3530, 7337, 1005, 14872, 6326, 3823, 14720, 4088, 1160, 1327, 8375, 15766, 132, 6740, 5711, 21573, 1005, 17770, 1159, 11091, 2328, 1060, 14244, 3655, 2163, 1027, 1005, 10860, 17320, 1009, 9918, 675, 2, 1257, 14943, 1327, 2350, 6982, 7055, 1048, 3002, 5593, 1068, 2071, 1124, 2266, 27670, 1043, 3592, 14872, 1009, 11470, 1068, 5275, 2348, 1834, 4987, 1005, 3467, 8057, 2527, 1826, 2350, 6982, 7055, 1048, 1299, 1298, 5593, 1068, 2071, 1124, 2266, 27670, 1463, 14872, 1009, 11470, 1068, 5275, 1224, 1834, 4987, 1005, 3467, 5302, 6003, 4675, 73, 1979, 32, 7914, 1124, 2266, 27670, 1294, 7337, 1009, 11470, 1068, 4966, 1456, 3328, 25928, 2685, 13809, 1273, 7697, 1544, 1005, 11504, 19148, 6003, 4675, 73, 1979, 1298, 18883, 1006, 5593, 3460, 8406, 1322, 1224, 1834, 4987, 1005, 3467, 6143, 11906, 32, 14522, 1014, 1456, 20266, 1009, 11470, 1298, 9602, 3527, 1006, 1058, 16412, 1043, 1184, 14923, 1043, 1132, 1734, 5790, 3018, 1058, 1299, 4337, 1048, 1096, 5440, 13680, 2647, 1298, 1178, 3654, 16412, 1569, 6106, 1009, 1557, 10911, 1006, 1456, 10309, 1206, 13512, 6291, 1868, 2515, 32, 20319, 4980, 1456, 20266, 1009, 11470, 1298, 9602, 3527, 1006, 6016, 1094, 3560, 9973, 1140, 1043, 1456, 3328, 8068, 1005, 17771, 1121, 8127, 2668, 1298, 9602, 3527, 1006, 7449, 3905, 1009, 12460, 1005, 6537, 6815, 9012, 1068, 1261, 3189, 1054, 1224, 3560, 18936, 6918, 29083, 2147, 32, 5574, 1456, 20266, 1009, 11470, 1298, 9602, 3527, 1006, 16321, 1043, 1456, 16159, 1043, 1184, 9141, 5790, 3018, 1058, 1299, 3100, 5209, 1048, 1225, 1094, 8509, 1006, 1178, 3491, 2274, 1298, 4524, 1068, 10824, 3033, 1235, 3813, 1206, 17944, 1456, 10261, 1009, 1094, 2596, 1184, 8868, 1525, 4349, 11887, 3224, 1009, 1048, 1006, 11470, 1160, 1096, 1376, 1396, 1140, 1005, 1299, 1298, 4524, 1068, 5275, 1569, 2685, 13809, 1016, 1005, 6537, 1456, 3328, 6609, 2223, 16165, 1124, 2266, 27670, 1463, 14872, 1009, 11470, 1159, 1094, 6808, 1068, 14244, 1241, 1014, 15326, 1303, 1005, 4758, 23208, 1, 2760, 4714, 4619, 4125, 1044, 10063, 1068, 1094, 2562, 1005, 18843, 3481, 1009, 1557, 1009, 5351, 1422, 3531, 32, 3072, 5765, 21432, 2240, 7216, 1325, 1006, 2562, 32, 2674, 1697, 21704, 15495, 14977, 1399, 30319, 56, 9005, 11018, 1123, 9005, 2548, 675, 675, 675, 5256, 56, 2077, 1802, 8792, 14977, 1399, 28387, 13038, 27170, 32, 1246, 5256, 56, 2077, 1324, 1119, 19522, 3463, 32, 1246, 1842, 4098, 1045, 1053, 6271, 18, 5869, 5, 675, 675, 675, 15495, 17297, 28817, 32, 1246, 2311, 4098, 1079, 5352, 1022, 85, 5920, 10822, 1070, 1171, 43, 6312, 7175, 32, 1246, 30529, 8553, 32, 1246, 30529, 5869, 5, 675, 675, 675, 4501, 1031, 1078, 1081, 32, 1246, 30529, 27458, 1814, 32, 1246, 30529, 3182, 32, 1246, 21755, 2143, 32, 1246, 30529, 29701, 16555, 5869, 5, 675, 675, 675, 2856, 1246, 11682, 16736, 1083, 1349, 6215, 10114, 1117, 2018, 1922, 32, 1246, 20258, 1406, 3844, 1117, 2018, 1922, 32, 1246, 10811, 1406, 5869, 5, 675, 675, 675, 1128, 1170, 7716, 1498, 1093, 84, 3471, 28903, 1246, 7448, 5481, 6142, 1852, 5125, 2771, 1084, 2307, 1325, 1026, 1681, 1571, 3074, 4619, 16868, 3527, 32, 2674, 1697, 1681, 1175, 90, 1553, 22718, 675, 675, 675, 14092, 1313, 7790, 1024, 1159, 25410, 5, 675, 675, 675, 14092, 24509, 45, 1159, 10008, 1110, 675, 675, 675, 5164, 2020, 7790, 1024, 1246, 9023, 7280, 8475, 20, 7280, 89, 1208, 9302, 2441, 2174, 15563, 8, 2548, 675, 675, 675, 31491, 1686, 1590, 1246, 2020, 7790, 3144, 9786, 23796, 12564, 2548, 675, 675, 675, 15495, 14977, 1399, 4228, 52, 45, 30557, 1453, 1681, 5125, 2771, 2654, 8476, 1009, 2754, 7320, 2625, 1005, 1160, 6581, 5872, 1118, 1048, 1160, 10468, 150, 2092, 10008, 20, 2240, 4378, 1096, 1006, 2618, 1048, 1264, 9326, 1054, 16604, 1159, 1160, 5103, 32, 2674, 1697, 15495, 14977, 1399, 4228, 52, 45, 9333, 27827, 2863, 1096, 1043, 1132, 1415, 159, 1347, 1018, 1054, 6019, 1049, 10221, 1213, 7726, 1006, 2562, 15495, 14977, 1399, 15882, 7243, 1132, 1415, 159, 1347, 1400, 1299, 1325, 6718, 1072, 2161, 1049, 4771, 26250, 1054, 1472, 1049, 3266, 3820, 1009, 4771, 1029, 1667, 8361, 10380, 1026, 10851, 3283, 8546, 1132, 1415, 159, 1347, 1018, 1159, 1668, 5983, 1697, 15495, 14977, 1399, 24509, 45, 5125, 15351, 1976, 4125, 1072, 3820, 1009, 10063, 1068, 1006, 2562, 1005, 10380, 1026, 3481, 1009, 1557, 1009, 5351, 20, 1, 2760, 4714, 4619, 2964, 1024, 1044, 13620, 1054, 1062, 2536, 2536, 18, 1503, 2490, 1006, 11972, 1084, 1122, 9276, 2240, 1138, 2863, 1096, 1048, 1503, 4230, 5807, 1006, 2511, 18545, 1054, 1011, 2536, 2536, 32, 2674, 1697, 17979, 1132, 26599, 27831, 32, 1015, 2081, 3555, 18, 1015, 84, 675, 652, 1123, 2742, 1048, 1006, 1071, 2541, 15, 675, 340, 79, 1246, 1015, 23, 340, 23, 2536, 1715, 2536, 89, 84, 340, 84, 5125, 2771, 1697, 675, 340, 13537, 2264, 1327, 12411, 4728, 2223, 19180, 1048, 1299, 1325, 4619, 5807, 1044, 2380, 16390, 1009, 1688, 6481, 1571, 1132, 26599, 27831, 6240, 1402, 1327, 1067, 2081, 1067, 2084, 3555, 18, 1067, 15020, 1005, 1132, 26599, 27831, 8903, 1327, 1063, 1071, 2541, 15, 1005, 1124, 20460, 675, 340, 3158, 7405, 3316, 2596, 1009, 16257, 1989, 2863, 1096, 2071, 1006, 6855, 1084, 27950, 1068, 2837, 1094, 10068, 1060, 4728, 1049, 2380, 2170, 1054, 4702, 5807, 1026, 2380, 2301, 1124, 5502, 1009, 1638, 8467, 1348, 10648, 1054, 1084, 1122, 9276, 7405, 7216, 1325, 1702, 2326, 1009, 2991, 1048, 1298, 3371, 32, 2674, 1697, 2936, 13955, 1026, 4466, 1049, 2380, 5, 1203, 1028, 1246, 3555, 2506, 1740, 10013, 1124, 20460, 1005, 26599, 27831, 1383, 27950, 5032, 1795, 1092, 7379, 74, 1006, 3534, 18, 1028, 13600, 4728, 1009, 3408, 1009, 4552, 79, 1383, 27950, 5032, 1205, 14959, 94, 74, 1080, 3534, 13600, 26599, 27831, 1063, 1071, 2541, 15, 2624, 1132, 3408, 1049, 6307, 47, 1383, 27950, 5032, 1205, 14959, 94, 74, 2311, 3534, 13600, 2343, 75, 27831, 6240, 1402, 1067, 23, 1068, 27059, 1110, 1740, 20836, 1107, 1124, 20460, 1005, 26599, 27831, 31414, 18921, 1118, 1456, 7180, 3408, 7199, 21499, 3555, 1276, 72, 21499, 3555, 2506, 1740, 30391, 1589, 1026, 2380, 16390, 5, 94, 1246, 6759, 76, 4027, 86, 1070, 1321, 6988, 4153, 1167, 7610, 22425, 2283, 88, 1549, 1006, 4081, 5, 20933, 5032, 25023, 21499, 3793, 7876, 12943, 21499, 2311, 20, 11052, 1334, 75, 2061, 21499, 13073, 5032, 7081, 82, 15572, 2771, 3204, 2326, 13350, 1048, 1299, 1566, 22403, 1124, 20460, 675, 340, 79, 1005, 1026, 26599, 4001, 1063, 1071, 2541, 15, 1005, 1048, 1299, 20836, 9219, 1132, 3408, 5856, 20460, 1005, 26599, 27831, 1463, 8845, 1063, 1005, 18706, 10663, 5080, 11720, 8727, 1124, 1319, 11489, 1020, 17227, 1118, 1235, 3266, 2326, 1005, 3408, 13162, 1138, 2326, 5471, 1026, 3202, 1033, 4027, 86, 1070, 1321, 2061, 1060, 4728, 1063, 1068, 5807, 1026, 2380, 1005, 4297, 1937, 1006, 4081, 1114, 6073, 2311, 30988, 1264, 10569, 75, 1006, 4081, 2301, 1006, 11597, 13073, 5032, 25023, 13162, 28012, 1048, 4548, 1734, 6335, 1068, 5807, 5061, 9379, 7498, 1054, 1084, 1122, 3933, 1159, 7951, 86, 1070, 1321, 2061, 1005, 7470, 88, 6988, 53, 1853, 3202, 1006, 1178, 3778, 8294, 1049, 4466, 1005, 1271, 6847, 1049, 19546, 5586, 675, 2, 1257, 14943, 1327, 2350, 1271, 6847, 1049, 2380, 16390, 1048, 1693, 13584, 1006, 5342, 1049, 3202, 1068, 9359, 159, 3527, 1054, 1084, 27950, 30459, 6897, 6847, 1049, 2380, 16390, 1048, 1693, 13584, 1006, 5342, 1049, 3202, 1068, 9359, 159, 3527, 1054, 1084, 27950, 1327, 19039, 1138, 4466, 1049, 2380, 32, 6335, 2625, 1693, 1261, 2625, 7871, 23905, 4743, 1005, 9088, 1009, 23457, 8769, 1049, 4466, 1049, 19546, 6201, 3018, 1026, 7951, 86, 1070, 1321, 2061, 1096, 23061, 1184, 6518, 1068, 5061, 1009, 4674, 1006, 6571, 1118, 5920, 2097, 1026, 19223, 86, 1070, 1321, 2061, 1298, 1178, 1184, 9279, 1068, 5061, 4029, 1048, 1160, 1327, 1493, 1448, 1265, 1010, 6135, 1063, 1249, 7011, 1149, 1060, 4728, 32, 1058, 1006, 4728, 1063, 1234, 1448, 1265, 1126, 1206, 4473, 3134, 2653, 3974, 2752, 9356, 1298, 1178, 1184, 9279, 2071, 1044, 1638, 8467, 1348, 1448, 4381, 1159, 2478, 7011, 1045, 91, 2061, 1206, 2478, 1024, 1117, 87, 88, 6988, 43, 11343, 6335, 1693, 10066, 1006, 25722, 1060, 4728, 1068, 6233, 1132, 9088, 1009, 6072, 23905, 2299, 1005, 4981, 6135, 1138, 2285, 1060, 6758, 1060, 4728, 32, 1026, 2285, 1060, 6758, 1060, 4728, 1063, 15283, 1026, 15507, 22834, 1096, 1006, 4081, 1068, 6828, 14008, 1394, 1294, 26599, 27831, 7143, 1026, 2285, 1060, 6758, 1234, 16137, 1006, 4081, 1298, 1178, 5917, 1539, 71, 1005, 1298, 1178, 3654, 2071, 1044, 1638, 8467, 1348, 1184, 19469, 1100, 1159, 7951, 86, 1070, 1321, 2061, 1206, 7470, 88, 2061, 6135, 1063, 3023, 1060, 4728, 32, 1058, 1006, 4728, 1063, 6678, 1094, 3023, 31190, 1159, 1094, 3023, 1531, 2889, 1672, 6116, 1206, 1841, 1575, 10393, 1298, 5265, 1638, 8467, 1544, 19302, 1048, 1693, 8038, 2122, 3023, 1068, 5807, 1026, 2380, 1043, 1184, 9141, 5790, 3018, 1058, 1063, 1096, 1094, 4728, 11148, 14433, 1841, 1575, 10393, 4215, 1096, 1184, 9279, 2071, 1006, 27665, 3131, 1574, 1078, 1018, 10709, 1054, 1472, 1060, 27665, 3131, 1060, 1142, 59, 20, 1, 13688, 1094, 17289, 13555, 1571, 9582, 17950, 19628, 7932, 1044, 8313, 10775, 1054, 30220, 27691, 1026, 3239, 1009, 16328, 18039, 18605, 1094, 5326, 9582, 17950, 19628, 6303, 17207, 2435, 1054, 1094, 6396, 12921, 1068, 8038, 1124, 22555, 1060, 8459, 27005, 3336, 1534, 1044, 7928, 20920, 1091, 1009, 27756, 1024, 1132, 16645, 1060, 1834, 2247, 1049, 4079, 4906, 9582, 12099, 1079, 1054, 1094, 6396, 1048, 1006, 22402, 1726, 7450, 6659, 1312, 1009, 20083, 1019, 5991, 9582, 15146, 1357, 30523, 1609, 12435, 1009, 30220, 1687, 1160, 7704, 3417, 1009, 1058, 6708, 1024, 1043, 1006, 3938, 1005, 19334, 1149, 1048, 1006, 9021, 7052, 39, 25783, 1009, 26617, 1141, 27819, 18712, 1026, 1238, 1005, 1026, 2058, 1060, 16311, 1271, 1372, 1022, 1907, 4290, 10166, 72, 1153, 2905, 2691, 4268, 2286, 2191, 1006, 1569, 3935, 4650, 9582, 8919, 1054, 1094, 4671, 8565, 18702, 1140, 1072, 3152, 1060, 4930, 1571, 4748, 1044, 2417, 1009, 1025, 9404, 27005, 1391, 1206, 13801, 1020, 6301, 13801, 2255, 8903, 1118, 1224, 10423, 12921, 2485, 10979, 9582, 1009, 14778, 3986, 1229, 1005, 1687, 4108, 1058, 3708, 4532, 2757, 1118, 1456, 7786, 8424, 7055, 1005, 14417, 5339, 1026, 4248, 9582, 9921, 4502, 1072, 3756, 1009, 1834, 13801, 1803, 21573, 1006, 1860, 1698, 18, 13276, 25815, 1005, 6313, 5417, 1054, 2191, 1233, 18941, 1060, 1641, 6343, 4108, 7643, 1048, 1132, 19225, 1187, 13801, 1020, 30525, 1412, 1043, 1687, 10936, 1005, 1006, 20952, 1006, 1058, 12251, 1043, 1224, 3486, 7820, 4159, 1009, 1094, 2596, 10423, 11402, 19162, 1356, 3756, 1009, 1834, 13801, 1803, 9582, 6303, 3371, 1006, 4668, 13801, 79, 1054, 20083, 1019, 1006, 2808, 1044, 8313, 7079, 1005, 1058, 21884, 1006, 2122, 2261, 1377, 30056, 3456, 1393, 1043, 1124, 6963, 1687, 8999, 1044, 9795, 23365, 1048, 2909, 1026, 2269, 9994, 1068, 1132, 13801, 1020, 1058, 1770, 3890, 5339, 1006, 3629, 1009, 2088, 4231, 15183, 9582, 9121, 1006, 7188, 1024, 1026, 7538, 1005, 3895, 150, 3527, 1054, 1044, 3182, 1048, 9126, 1034, 1009, 25425, 1068, 1132, 13801, 1020, 6301, 13801, 2255, 18448, 1402, 1118, 1224, 4281, 1005, 1356, 8313, 1048, 1687, 2284, 31301, 8078, 1402, 1006, 1687, 1026, 3479, 5669, 16680, 1009, 3793, 28717, 6926, 24711, 15007, 2323, 8152, 4604, 9582, 3475, 1456, 2250, 2438, 1819, 1026, 3439, 2328, 1187, 14675, 1187, 13801, 1020, 1005, 1060, 4668, 8500, 5700, 3224, 1094, 6627, 1317, 1140, 1114, 1641, 1009, 20083, 1019, 19585, 6396, 7734, 1006, 1687, 1048, 1006, 3938, 1060, 7820, 4159, 1160, 1325, 1114, 4339, 5423, 1009, 4697, 25892, 1309, 1114, 4008, 1009, 1058, 12251, 6581, 1592, 1005, 1043, 1026, 1863, 4693, 12027, 1271, 15951, 9790, 1206, 8657, 1728, 1, 10480, 1044, 2729, 8501, 2037, 1571, 11611, 11201, 12702, 1054, 1044, 5229, 3010, 15728, 1054, 15499, 1043, 7228, 1005, 6654, 10879 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1026, 17828, 1049, 2446, 5256, 1248, 4314, 1602, 17996, 1206, 1132, 3251, 3056, 20266, 1009, 21540, 2485, 1693, 3823, 2266, 1322, 1224, 11470, 6143, 12298, 19, 3655, 2163, 17610, 3064, 16869, 1044, 1557, 1068, 6141, 1054, 1456, 1211, 8554, 14936, 1005, 17369, 1009, 9197, 3375, 3020, 10187, 1026, 1048, 1026, 2556, 1525, 1005, 1159, 1299, 17230, 1043, 2625, 7653, 6291, 24427, 17320, 1009, 2089, 1783, 32, 5710, 1679, 5410, 1005, 10624, 1048, 2054, 1013, 4433, 1224, 21540, 2485, 3328, 8068, 1005, 26817, 6918, 22186, 3467, 32, 2858, 6273, 9465, 1206, 26938, 25285, 1298, 3823, 1094, 6621, 1184, 6066, 1009, 1224, 11470, 1118, 2191, 1009, 7337, 19302, 4349, 11887, 3224, 1009, 1048, 1664, 1132, 7539, 2643, 21039, 16323, 2170, 3702, 3530, 7337, 1005, 14872, 6326, 3823, 14720, 4088, 1160, 1327, 8375, 15766, 132, 6740, 5711, 21573, 1005, 17770, 1159, 11091, 2328, 1060, 14244, 3655, 2163, 1027, 1005, 10860, 17320, 1009, 9918, 675, 2, 1257, 14943, 1327, 2350, 6982, 7055, 1048, 3002, 5593, 1068, 2071, 1124, 2266, 27670, 1043, 3592, 14872, 1009, 11470, 1068, 5275, 2348, 1834, 4987, 1005, 3467, 8057, 2527, 1826, 2350, 6982, 7055, 1048, 1299, 1298, 5593, 1068, 2071, 1124, 2266, 27670, 1463, 14872, 1009, 11470, 1068, 5275, 1224, 1834, 4987, 1005, 3467, 5302, 6003, 4675, 73, 1979, 32, 7914, 1124, 2266, 27670, 1294, 7337, 1009, 11470, 1068, 4966, 1456, 3328, 25928, 2685, 13809, 1273, 7697, 1544, 1005, 11504, 19148, 6003, 4675, 73, 1979, 1298, 18883, 1006, 5593, 3460, 8406, 1322, 1224, 1834, 4987, 1005, 3467, 6143, 11906, 32, 14522, 1014, 1456, 20266, 1009, 11470, 1298, 9602, 3527, 1006, 1058, 16412, 1043, 1184, 14923, 1043, 1132, 1734, 5790, 3018, 1058, 1299, 4337, 1048, 1096, 5440, 13680, 2647, 1298, 1178, 3654, 16412, 1569, 6106, 1009, 1557, 10911, 1006, 1456, 10309, 1206, 13512, 6291, 1868, 2515, 32, 20319, 4980, 1456, 20266, 1009, 11470, 1298, 9602, 3527, 1006, 6016, 1094, 3560, 9973, 1140, 1043, 1456, 3328, 8068, 1005, 17771, 1121, 8127, 2668, 1298, 9602, 3527, 1006, 7449, 3905, 1009, 12460, 1005, 6537, 6815, 9012, 1068, 1261, 3189, 1054, 1224, 3560, 18936, 6918, 29083, 2147, 32, 5574, 1456, 20266, 1009, 11470, 1298, 9602, 3527, 1006, 16321, 1043, 1456, 16159, 1043, 1184, 9141, 5790, 3018, 1058, 1299, 3100, 5209, 1048, 1225, 1094, 8509, 1006, 1178, 3491, 2274, 1298, 4524, 1068, 10824, 3033, 1235, 3813, 1206, 17944, 1456, 10261, 1009, 1094, 2596, 1184, 8868, 1525, 4349, 11887, 3224, 1009, 1048, 1006, 11470, 1160, 1096, 1376, 1396, 1140, 1005, 1299, 1298, 4524, 1068, 5275, 1569, 2685, 13809, 1016, 1005, 6537, 1456, 3328, 6609, 2223, 16165, 1124, 2266, 27670, 1463, 14872, 1009, 11470, 1159, 1094, 6808, 1068, 14244, 1241, 1014, 15326, 1303, 1005, 4758, 23208, 1, 2760, 4714, 4619, 4125, 1044, 10063, 1068, 1094, 2562, 1005, 18843, 3481, 1009, 1557, 1009, 5351, 1422, 3531, 32, 3072, 5765, 21432, 2240, 7216, 1325, 1006, 2562, 32, 2674, 1697, 21704, 15495, 14977, 1399, 30319, 56, 9005, 11018, 1123, 9005, 2548, 675, 675, 675, 5256, 56, 2077, 1802, 8792, 14977, 1399, 28387, 13038, 27170, 32, 1246, 5256, 56, 2077, 1324, 1119, 19522, 3463, 32, 1246, 1842, 4098, 1045, 1053, 6271, 18, 5869, 5, 675, 675, 675, 15495, 17297, 28817, 32, 1246, 2311, 4098, 1079, 5352, 1022, 85, 5920, 10822, 1070, 1171, 43, 6312, 7175, 32, 1246, 30529, 8553, 32, 1246, 30529, 5869, 5, 675, 675, 675, 4501, 1031, 1078, 1081, 32, 1246, 30529, 27458, 1814, 32, 1246, 30529, 3182, 32, 1246, 21755, 2143, 32, 1246, 30529, 29701, 16555, 5869, 5, 675, 675, 675, 2856, 1246, 11682, 16736, 1083, 1349, 6215, 10114, 1117, 2018, 1922, 32, 1246, 20258, 1406, 3844, 1117, 2018, 1922, 32, 1246, 10811, 1406, 5869, 5, 675, 675, 675, 1128, 1170, 7716, 1498, 1093, 84, 3471, 28903, 1246, 7448, 5481, 6142, 1852, 5125, 2771, 1084, 2307, 1325, 1026, 1681, 1571, 3074, 4619, 16868, 3527, 32, 2674, 1697, 1681, 1175, 90, 1553, 22718, 675, 675, 675, 14092, 1313, 7790, 1024, 1159, 25410, 5, 675, 675, 675, 14092, 24509, 45, 1159, 10008, 1110, 675, 675, 675, 5164, 2020, 7790, 1024, 1246, 9023, 7280, 8475, 20, 7280, 89, 1208, 9302, 2441, 2174, 15563, 8, 2548, 675, 675, 675, 31491, 1686, 1590, 1246, 2020, 7790, 3144, 9786, 23796, 12564, 2548, 675, 675, 675, 15495, 14977, 1399, 4228, 52, 45, 30557, 1453, 1681, 5125, 2771, 2654, 8476, 1009, 2754, 7320, 2625, 1005, 1160, 6581, 5872, 1118, 1048, 1160, 10468, 150, 2092, 10008, 20, 2240, 4378, 1096, 1006, 2618, 1048, 1264, 9326, 1054, 16604, 1159, 1160, 5103, 32, 2674, 1697, 15495, 14977, 1399, 4228, 52, 45, 9333, 27827, 2863, 1096, 1043, 1132, 1415, 159, 1347, 1018, 1054, 6019, 1049, 10221, 1213, 7726, 1006, 2562, 15495, 14977, 1399, 15882, 7243, 1132, 1415, 159, 1347, 1400, 1299, 1325, 6718, 1072, 2161, 1049, 4771, 26250, 1054, 1472, 1049, 3266, 3820, 1009, 4771, 1029, 1667, 8361, 10380, 1026, 10851, 3283, 8546, 1132, 1415, 159, 1347, 1018, 1159, 1668, 5983, 1697, 15495, 14977, 1399, 24509, 45, 5125, 15351, 1976, 4125, 1072, 3820, 1009, 10063, 1068, 1006, 2562, 1005, 10380, 1026, 3481, 1009, 1557, 1009, 5351, 20, 1, 2760, 4714, 4619, 2964, 1024, 1044, 13620, 1054, 1062, 2536, 2536, 18, 1503, 2490, 1006, 11972, 1084, 1122, 9276, 2240, 1138, 2863, 1096, 1048, 1503, 4230, 5807, 1006, 2511, 18545, 1054, 1011, 2536, 2536, 32, 2674, 1697, 17979, 1132, 26599, 27831, 32, 1015, 2081, 3555, 18, 1015, 84, 675, 652, 1123, 2742, 1048, 1006, 1071, 2541, 15, 675, 340, 79, 1246, 1015, 23, 340, 23, 2536, 1715, 2536, 89, 84, 340, 84, 5125, 2771, 1697, 675, 340, 13537, 2264, 1327, 12411, 4728, 2223, 19180, 1048, 1299, 1325, 4619, 5807, 1044, 2380, 16390, 1009, 1688, 6481, 1571, 1132, 26599, 27831, 6240, 1402, 1327, 1067, 2081, 1067, 2084, 3555, 18, 1067, 15020, 1005, 1132, 26599, 27831, 8903, 1327, 1063, 1071, 2541, 15, 1005, 1124, 20460, 675, 340, 3158, 7405, 3316, 2596, 1009, 16257, 1989, 2863, 1096, 2071, 1006, 6855, 1084, 27950, 1068, 2837, 1094, 10068, 1060, 4728, 1049, 2380, 2170, 1054, 4702, 5807, 1026, 2380, 2301, 1124, 5502, 1009, 1638, 8467, 1348, 10648, 1054, 1084, 1122, 9276, 7405, 7216, 1325, 1702, 2326, 1009, 2991, 1048, 1298, 3371, 32, 2674, 1697, 2936, 13955, 1026, 4466, 1049, 2380, 5, 1203, 1028, 1246, 3555, 2506, 1740, 10013, 1124, 20460, 1005, 26599, 27831, 1383, 27950, 5032, 1795, 1092, 7379, 74, 1006, 3534, 18, 1028, 13600, 4728, 1009, 3408, 1009, 4552, 79, 1383, 27950, 5032, 1205, 14959, 94, 74, 1080, 3534, 13600, 26599, 27831, 1063, 1071, 2541, 15, 2624, 1132, 3408, 1049, 6307, 47, 1383, 27950, 5032, 1205, 14959, 94, 74, 2311, 3534, 13600, 2343, 75, 27831, 6240, 1402, 1067, 23, 1068, 27059, 1110, 1740, 20836, 1107, 1124, 20460, 1005, 26599, 27831, 31414, 18921, 1118, 1456, 7180, 3408, 7199, 21499, 3555, 1276, 72, 21499, 3555, 2506, 1740, 30391, 1589, 1026, 2380, 16390, 5, 94, 1246, 6759, 76, 4027, 86, 1070, 1321, 6988, 4153, 1167, 7610, 22425, 2283, 88, 1549, 1006, 4081, 5, 20933, 5032, 25023, 21499, 3793, 7876, 12943, 21499, 2311, 20, 11052, 1334, 75, 2061, 21499, 13073, 5032, 7081, 82, 15572, 2771, 3204, 2326, 13350, 1048, 1299, 1566, 22403, 1124, 20460, 675, 340, 79, 1005, 1026, 26599, 4001, 1063, 1071, 2541, 15, 1005, 1048, 1299, 20836, 9219, 1132, 3408, 5856, 20460, 1005, 26599, 27831, 1463, 8845, 1063, 1005, 18706, 10663, 5080, 11720, 8727, 1124, 1319, 11489, 1020, 17227, 1118, 1235, 3266, 2326, 1005, 3408, 13162, 1138, 2326, 5471, 1026, 3202, 1033, 4027, 86, 1070, 1321, 2061, 1060, 4728, 1063, 1068, 5807, 1026, 2380, 1005, 4297, 1937, 1006, 4081, 1114, 6073, 2311, 30988, 1264, 10569, 75, 1006, 4081, 2301, 1006, 11597, 13073, 5032, 25023, 13162, 28012, 1048, 4548, 1734, 6335, 1068, 5807, 5061, 9379, 7498, 1054, 1084, 1122, 3933, 1159, 7951, 86, 1070, 1321, 2061, 1005, 7470, 88, 6988, 53, 1853, 3202, 1006, 1178, 3778, 8294, 1049, 4466, 1005, 1271, 6847, 1049, 19546, 5586, 675, 2, 1257, 14943, 1327, 2350, 1271, 6847, 1049, 2380, 16390, 1048, 1693, 13584, 1006, 5342, 1049, 3202, 1068, 9359, 159, 3527, 1054, 1084, 27950, 30459, 6897, 6847, 1049, 2380, 16390, 1048, 1693, 13584, 1006, 5342, 1049, 3202, 1068, 9359, 159, 3527, 1054, 1084, 27950, 1327, 19039, 1138, 4466, 1049, 2380, 32, 6335, 2625, 1693, 1261, 2625, 7871, 23905, 4743, 1005, 9088, 1009, 23457, 8769, 1049, 4466, 1049, 19546, 6201, 3018, 1026, 7951, 86, 1070, 1321, 2061, 1096, 23061, 1184, 6518, 1068, 5061, 1009, 4674, 1006, 6571, 1118, 5920, 2097, 1026, 19223, 86, 1070, 1321, 2061, 1298, 1178, 1184, 9279, 1068, 5061, 4029, 1048, 1160, 1327, 1493, 1448, 1265, 1010, 6135, 1063, 1249, 7011, 1149, 1060, 4728, 32, 1058, 1006, 4728, 1063, 1234, 1448, 1265, 1126, 1206, 4473, 3134, 2653, 3974, 2752, 9356, 1298, 1178, 1184, 9279, 2071, 1044, 1638, 8467, 1348, 1448, 4381, 1159, 2478, 7011, 1045, 91, 2061, 1206, 2478, 1024, 1117, 87, 88, 6988, 43, 11343, 6335, 1693, 10066, 1006, 25722, 1060, 4728, 1068, 6233, 1132, 9088, 1009, 6072, 23905, 2299, 1005, 4981, 6135, 1138, 2285, 1060, 6758, 1060, 4728, 32, 1026, 2285, 1060, 6758, 1060, 4728, 1063, 15283, 1026, 15507, 22834, 1096, 1006, 4081, 1068, 6828, 14008, 1394, 1294, 26599, 27831, 7143, 1026, 2285, 1060, 6758, 1234, 16137, 1006, 4081, 1298, 1178, 5917, 1539, 71, 1005, 1298, 1178, 3654, 2071, 1044, 1638, 8467, 1348, 1184, 19469, 1100, 1159, 7951, 86, 1070, 1321, 2061, 1206, 7470, 88, 2061, 6135, 1063, 3023, 1060, 4728, 32, 1058, 1006, 4728, 1063, 6678, 1094, 3023, 31190, 1159, 1094, 3023, 1531, 2889, 1672, 6116, 1206, 1841, 1575, 10393, 1298, 5265, 1638, 8467, 1544, 19302, 1048, 1693, 8038, 2122, 3023, 1068, 5807, 1026, 2380, 1043, 1184, 9141, 5790, 3018, 1058, 1063, 1096, 1094, 4728, 11148, 14433, 1841, 1575, 10393, 4215, 1096, 1184, 9279, 2071, 1006, 27665, 3131, 1574, 1078, 1018, 10709, 1054, 1472, 1060, 27665, 3131, 1060, 1142, 59, 20, 1, 13688, 1094, 17289, 13555, 1571, 9582, 17950, 19628, 7932, 1044, 8313, 10775, 1054, 30220, 27691, 1026, 3239, 1009, 16328, 18039, 18605, 1094, 5326, 9582, 17950, 19628, 6303, 17207, 2435, 1054, 1094, 6396, 12921, 1068, 8038, 1124, 22555, 1060, 8459, 27005, 3336, 1534, 1044, 7928, 20920, 1091, 1009, 27756, 1024, 1132, 16645, 1060, 1834, 2247, 1049, 4079, 4906, 9582, 12099, 1079, 1054, 1094, 6396, 1048, 1006, 22402, 1726, 7450, 6659, 1312, 1009, 20083, 1019, 5991, 9582, 15146, 1357, 30523, 1609, 12435, 1009, 30220, 1687, 1160, 7704, 3417, 1009, 1058, 6708, 1024, 1043, 1006, 3938, 1005, 19334, 1149, 1048, 1006, 9021, 7052, 39, 25783, 1009, 26617, 1141, 27819, 18712, 1026, 1238, 1005, 1026, 2058, 1060, 16311, 1271, 1372, 1022, 1907, 4290, 10166, 72, 1153, 2905, 2691, 4268, 2286, 2191, 1006, 1569, 3935, 4650, 9582, 8919, 1054, 1094, 4671, 8565, 18702, 1140, 1072, 3152, 1060, 4930, 1571, 4748, 1044, 2417, 1009, 1025, 9404, 27005, 1391, 1206, 13801, 1020, 6301, 13801, 2255, 8903, 1118, 1224, 10423, 12921, 2485, 10979, 9582, 1009, 14778, 3986, 1229, 1005, 1687, 4108, 1058, 3708, 4532, 2757, 1118, 1456, 7786, 8424, 7055, 1005, 14417, 5339, 1026, 4248, 9582, 9921, 4502, 1072, 3756, 1009, 1834, 13801, 1803, 21573, 1006, 1860, 1698, 18, 13276, 25815, 1005, 6313, 5417, 1054, 2191, 1233, 18941, 1060, 1641, 6343, 4108, 7643, 1048, 1132, 19225, 1187, 13801, 1020, 30525, 1412, 1043, 1687, 10936, 1005, 1006, 20952, 1006, 1058, 12251, 1043, 1224, 3486, 7820, 4159, 1009, 1094, 2596, 10423, 11402, 19162, 1356, 3756, 1009, 1834, 13801, 1803, 9582, 6303, 3371, 1006, 4668, 13801, 79, 1054, 20083, 1019, 1006, 2808, 1044, 8313, 7079, 1005, 1058, 21884, 1006, 2122, 2261, 1377, 30056, 3456, 1393, 1043, 1124, 6963, 1687, 8999, 1044, 9795, 23365, 1048, 2909, 1026, 2269, 9994, 1068, 1132, 13801, 1020, 1058, 1770, 3890, 5339, 1006, 3629, 1009, 2088, 4231, 15183, 9582, 9121, 1006, 7188, 1024, 1026, 7538, 1005, 3895, 150, 3527, 1054, 1044, 3182, 1048, 9126, 1034, 1009, 25425, 1068, 1132, 13801, 1020, 6301, 13801, 2255, 18448, 1402, 1118, 1224, 4281, 1005, 1356, 8313, 1048, 1687, 2284, 31301, 8078, 1402, 1006, 1687, 1026, 3479, 5669, 16680, 1009, 3793, 28717, 6926, 24711, 15007, 2323, 8152, 4604, 9582, 3475, 1456, 2250, 2438, 1819, 1026, 3439, 2328, 1187, 14675, 1187, 13801, 1020, 1005, 1060, 4668, 8500, 5700, 3224, 1094, 6627, 1317, 1140, 1114, 1641, 1009, 20083, 1019, 19585, 6396, 7734, 1006, 1687, 1048, 1006, 3938, 1060, 7820, 4159, 1160, 1325, 1114, 4339, 5423, 1009, 4697, 25892, 1309, 1114, 4008, 1009, 1058, 12251, 6581, 1592, 1005, 1043, 1026, 1863, 4693, 12027, 1271, 15951, 9790, 1206, 8657, 1728, 1, 10480, 1044, 2729, 8501, 2037, 1571, 11611, 11201, 12702, 1054, 1044, 5229, 3010, 15728, 1054, 15499, 1043, 7228, 1005, 6654, 10879 ]

[ 1236, 1161, 1009, 6046, 1175, 18636, 3331, 1978, 16615, 1173, 3835, 5540, 3498, 16117, 2488, 1008, 69, 3386, 3158, 7713, 2752, 69, 21468, 21457, 25297, 1461, 1148, 1059, 2018, 17350, 1049, 3284, 25238, 1587, 6160, 17350, 1060, 20558, 1009, 8568, 25238, 18636, 18636, 1978, 1426, 16, 1598, 2752, 69, 21468, 21457, 25297, 1461, 1148, 4521, 1205, 1461, 1148, 4266, 2204, 1008, 69, 3386, 79, 1504, 16400, 1230, 4355, 1958, 2079, 69, 31902, 3107, 4517, 39, 53, 69, 60, 2053, 47, 18561, 5, 1263, 1167, 32, 2020, 76, 25297, 1461, 1012, 2604, 2020, 76, 69, 94, 25297, 1461, 1012, 2007, 86, 69, 3386, 9442, 1164, 2020, 76, 69, 94, 25297, 1461, 1012, 6785, 1461, 1012, 4521, 2462, 2616, 2039, 8034, 1011, 2144, 9025, 1538, 3776, 4826, 43, 69, 2982, 60, 69, 60, 2053, 47, 14479, 69, 14607, 10274, 2606, 11426, 8325, 1358, 2077, 1253, 1011, 21012, 92, 1461, 1012, 1246, 2020, 76, 69, 94, 25297, 1461, 1012, 20, 2020, 76, 25297, 1461, 1012, 1246, 2020, 76, 69, 94, 25297, 1461, 1012, 1059, 18830, 20, 1011, 1108, 16078, 2020, 76, 25297, 1461, 1012, 20, 2020, 76, 25297, 1461, 1012, 12804, 1520, 1246, 2020, 92, 21799, 86, 23521, 7081, 1174, 3301, 2079, 69, 31902, 3107, 4517, 39, 53, 69, 60, 2053, 47, 18561, 25789, 1479, 7509, 6204, 6761, 1800, 1026, 14097, 1114, 6046, 1009, 5286, 29253, 8524, 20424, 9884, 23, 1128, 1623, 1009, 5286, 1043, 4169, 1009, 6016, 1006, 20558, 1009, 8568, 1996, 1060, 5351, 1049, 2868, 1797, 7096, 1620, 1160, 3241, 5447, 1094, 20558, 1009, 8568, 22465, 23758, 1026, 2868, 1071, 1134, 30, 19065, 2438, 1108, 13077, 1132, 6824, 1005, 1846, 11166, 1006, 20558, 2328, 1049, 5, 15821, 1027, 2124, 9072, 2470, 75, 1006, 6046, 1009, 5286, 5721, 1026, 26388, 8773, 1069, 1072, 3428, 1009, 9220, 1461, 1148, 1009, 1955, 1316, 1346, 8, 30814, 1006, 23750, 5707, 26, 8, 1005, 1006, 3629, 2177, 9376, 1140, 3482, 7195, 8522, 1094, 8227, 1048, 1201, 7195, 1124, 28053, 1009, 8568, 4999, 2565, 1005, 1124, 9310, 1068, 1026, 27189, 9520, 1006, 6627, 9884, 24, 1940, 8524, 20424, 9884, 24, 8214, 1623, 1073, 8131, 10895, 1043, 28053, 1009, 8568, 1059, 30, 1479, 9072, 4803, 4125, 1026, 9142, 1009, 20558, 1068, 1006, 2562, 10632, 4826, 43, 1048, 1325, 1114, 11309, 2079, 69, 50, 10274, 26665, 2870, 13561, 39, 63, 27694, 1024, 1877, 4178, 1068, 9525, 8018, 76, 1706, 1439, 2088, 9658, 1009, 9525, 1060, 2919, 2328, 1009, 9040, 1049, 9128, 60, 1533, 1015, 2624, 12816, 13527, 1044, 6840, 1009, 3756, 1048, 1026, 1592, 1160, 3241, 1094, 3922, 1009, 7939, 1068, 16410, 21455, 1206, 2276, 1880, 21104, 28920, 4874, 1068, 9525, 1009, 1044, 26546, 5280, 4534, 22233, 12500, 6761, 1800, 1159, 1096, 2481, 1663, 6546, 9007, 2175, 1278, 1072, 2868, 6153, 1508, 20092, 1026, 2868, 2079, 44, 4071, 1254, 3459, 69, 28, 1005, 1770, 4882, 1009, 2079, 44, 4071, 1254, 3459, 69, 29, 1005, 5433, 10939, 1124, 7395, 5129, 2535, 1299, 3241, 1008, 5408, 1132, 20566, 17498, 1299, 1298, 20092, 1026, 1048, 1325, 1072, 1852, 1049, 13501, 14975, 1479, 19696, 88, 1006, 3023, 1048, 1201, 7195, 1132, 6824, 1009, 9007, 26035, 19217, 32, 2020, 76, 69, 6986, 2555, 63, 13800, 17361, 1020, 69, 6986, 69, 24012, 19574, 1479, 29566, 1094, 11309, 1048, 5149, 150, 1132, 9658, 1006, 4207, 2111, 2585, 1026, 1428, 1770, 10939, 1009, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 10282, 1048, 17212, 1159, 9142, 1006, 3023, 29179, 1072, 6552, 25998, 16, 2422, 1877, 4178, 1009, 9525, 18814, 19838, 51, 2752, 69, 6986, 11757, 7782, 3175, 13086, 2020, 76, 69, 6986, 23333, 1479, 7453, 1068, 1026, 1598, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 1898, 16, 18109, 51, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 25238, 31491, 15972, 1009, 9525, 1060, 2919, 25238, 1175, 10668, 27260, 69, 9554, 24932, 1175, 24873, 1043, 15972, 1060, 9525, 1060, 2919, 1940, 2713, 51, 2752, 69, 6986, 11757, 7782, 3175, 13086, 1008, 76, 69, 6986, 1128, 63, 13800, 17361, 1020, 69, 6986, 69, 24012, 2098, 44, 69, 9554, 24932, 4273, 56, 24932, 4895, 27227, 1072, 6203, 53, 4562, 28282, 76, 69, 6986, 16499, 69, 6986, 6582, 1045, 6269, 1010, 1246, 1538, 62, 13, 3301, 2656, 6344, 1024, 1869, 1667, 1322, 5286, 28282, 76, 69, 6986, 16499, 69, 1066, 1446, 20538, 4895, 2656, 6344, 1024, 3922, 1009, 4474, 2142, 28282, 76, 69, 6986, 16499, 69, 6986, 18332, 6269, 1010, 1246, 1538, 62, 13, 3301, 2656, 6344, 1024, 1869, 1667, 1322, 1006, 2919, 1576, 44, 69, 9554, 24932, 5705, 2164, 2393, 18797, 69, 50, 2321, 2164, 4895, 3064, 1512, 1024, 4874, 1576, 44, 69, 9554, 24932, 9298, 53, 69, 52, 26249, 15434, 7567, 43, 4895, 4501, 3606, 8098, 1576, 44, 69, 9554, 24932, 9298, 53, 69, 13901, 2805, 11789, 69, 9554, 24932, 15434, 2053, 3642, 57, 1246, 1538, 62, 10415, 1150, 2656, 8383, 4466, 1060, 2618, 4895, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 17672, 1479, 9072, 4803, 4125, 1184, 1044, 9142, 1068, 1006, 2562, 10632, 4826, 43, 1048, 1325, 1114, 11309, 2079, 69, 50, 10274, 26665, 2870, 13561, 39, 63, 1898, 35, 2020, 76, 69, 6986, 28016, 1048, 25852, 1159, 9658, 1898, 1020, 69, 6986, 1246, 2020, 76, 69, 6986, 9690, 1060, 3023, 1043, 1124, 9007, 1009, 9525, 1276, 26018, 1321, 1435, 5625, 3606, 1006, 2919, 6153, 1005, 10514, 3057, 12500, 1048, 1096, 2481, 5525, 2350, 5625, 1060, 2618, 1060, 26954, 5494, 1159, 2837, 1094, 15098, 2005, 6036, 6588, 6299, 1009, 10609, 2625, 1463, 2465, 1314, 6481, 1365, 1734, 4355, 10939, 2156, 4617, 1121, 15839, 1005, 1808, 10939, 1213, 11881, 1006, 2562, 1009, 13595, 2089, 5625, 1006, 4207, 3935, 21579, 1972, 2742, 9637, 1006, 3023, 3793, 50, 2870, 69, 16549, 63, 53, 7270, 69, 2982, 60, 8, 1049, 2417, 1009, 4267, 3793, 50, 2870, 8, 6153, 1508, 20092, 1026, 2868, 2079, 44, 4071, 1254, 3459, 69, 29, 1005, 1770, 4882, 1009, 2079, 44, 4071, 1254, 3459, 69, 30, 14975, 1479, 29566, 1044, 3428, 2017, 1114, 4806, 1009, 4701, 1068, 1048, 1026, 1592, 2374, 1044, 15098, 7132, 33, 1048, 1770, 10939, 1009, 27590, 62, 1276, 16, 10, 16, 10, 1128, 12801, 1175, 18636, 8800, 3331, 1978, 1128, 63, 54, 2164, 32, 1106, 7146, 2321, 27735, 23335, 69, 1352, 2154, 5, 10990, 1065, 1142, 47, 30687, 1050, 72, 1956, 19, 10990, 14377, 2115, 10958, 1142, 47, 30687, 1050, 72, 1956, 19, 1227, 5984, 5295, 1065, 1142, 47, 30687, 1050, 72, 1956, 5291, 1302, 14377, 16577, 1218, 1142, 47, 30687, 1050, 72, 1956, 19, 2363, 13359, 15700, 93, 88, 1142, 47, 30687, 1050, 72, 1956, 4328, 1095, 93, 5793, 1050, 81, 3395, 1142, 47, 30687, 1050, 72, 1956, 6785, 81, 3395, 18, 1050, 90, 93, 1259, 1142, 47, 30687, 1050, 72, 1956, 6785, 90, 93, 1259, 18, 1015, 2993, 1142, 47, 30687, 1050, 72, 1956, 3498, 2993, 18, 1050, 81, 9231, 86, 1142, 47, 30687, 1050, 72, 1956, 6785, 81, 9231, 10718, 1050, 81, 20088, 1142, 47, 30687, 1050, 72, 1956, 6785, 81, 20088, 19569, 1144, 1035, 1060, 4272, 1009, 5641, 1150, 7544, 1009, 4173, 1150, 12465, 1069, 1118, 1150, 7544, 1060, 4272, 1150, 13173, 1009, 4272, 1150, 12651, 1064, 162, 29251, 1060, 4272, 1150, 2591, 14594, 1009, 6433, 1150, 14818, 1009, 6894, 1150, 25527, 1009, 4751, 1150, 5549, 1009, 24686, 1150, 26987, 1009, 6433, 1150, 19561, 7132, 27892, 19696, 88, 3023, 1009, 1064, 1730, 1079, 1931, 42, 19217, 32, 2020, 76, 69, 10962, 2555, 63, 13800, 17361, 1020, 69, 10962, 69, 24012, 23333, 1479, 29566, 1094, 11309, 1048, 5149, 150, 1132, 9658, 1006, 4207, 2111, 2585, 1026, 1428, 1770, 10939, 1009, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 10282, 1048, 17212, 1159, 9142, 1006, 3023, 29179, 1072, 6552, 25998, 20744, 1060, 2919, 1175, 1587, 5997, 1148, 1124, 25109, 18814, 19838, 51, 2752, 69, 10962, 11757, 7782, 3175, 13086, 2020, 76, 69, 10962, 15562, 7453, 1068, 1026, 1598, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 1898, 16, 26475, 1009, 4701, 25238, 1175, 10668, 27260, 69, 16549, 63, 53, 7270, 1175, 24873, 1068, 6920, 1009, 4701, 1060, 2919, 25238, 18636, 18636, 1978, 1426, 16, 18109, 51, 2752, 69, 10962, 11757, 7782, 3175, 13086, 1008, 76, 69, 10962, 1128, 63, 13800, 17361, 1020, 69, 10962, 69, 24012, 4355, 1958, 2079, 69, 16549, 63, 53, 7270, 69, 40, 59, 4414, 42, 25238, 3292, 2014, 1130, 5042, 1009, 1028, 162, 4507, 1009, 10609, 1068, 1681, 1164, 13239, 1008, 76, 69, 10962, 6179, 5432, 69, 23531, 69, 18286, 1246, 1538, 62, 13, 4521, 19561, 18254, 1114, 2919, 28282, 76, 69, 10962, 19, 7132, 69, 6103, 5598, 5, 35, 1538, 16045, 62, 13, 1059, 86, 76, 69, 10962, 19, 7132, 69, 10154, 5598, 4895, 2079, 69, 16549, 63, 53, 7270, 69, 40, 59, 4414, 42, 19893, 1479, 9072, 4803, 4125, 1184, 1044, 9142, 1068, 1006, 2562, 10632, 4826, 43, 1048, 1325, 1114, 11309, 2079, 69, 50, 10274, 26665, 2870, 13561, 39, 63, 1898, 35, 2020, 76, 69, 10962, 5, 1020, 69, 10962, 1246, 2020, 76, 69, 10962, 9690, 1060, 3023, 1043, 1124, 9007, 1064, 1730, 1079, 1931, 28, 1479, 1128, 1623, 1049, 23963, 29253, 8524, 20424, 10396, 23, 6454, 1043, 15098, 7132, 1059, 29, 1479, 28393, 16330, 1006, 5987, 1049, 2161, 8133, 2647, 1005, 1846, 9376, 75, 1026, 5646, 1009, 1681, 23922, 1467, 8227, 1006, 4054, 2177, 3321, 2154, 10310, 1124, 3918, 1009, 7814, 1112, 1068, 1006, 2465, 22935, 5754, 1026, 1184, 7296, 1096, 1006, 5987, 7311, 56, 2820, 1571, 1096, 2481, 6016, 1132, 6299, 1009, 10609, 1009, 2604, 1076, 2255, 8773, 75, 1026, 26388, 1072, 1592, 1005, 2438, 1108, 1006, 2562, 1134, 26, 1071, 1134, 1122, 20, 10396, 24, 675, 15973, 8524, 20424, 10396, 24, 1128, 1623, 1043, 1006, 4169, 1009, 4267, 1009, 10609, 2625, 1068, 1132, 6299, 1009, 29178, 1797, 31342, 4203, 1068, 3540, 9310, 1068, 1026, 6840, 1833, 2311, 4755, 2539, 4203, 1048, 4800, 30814, 1068, 5719, 1132, 1184, 4306, 5684, 1072, 6840, 20, 7509, 12500, 4803, 9149, 1132, 4203, 1749, 2565, 1206, 1184, 1274, 2585, 1068, 5172, 1048, 1096, 2481, 31364, 1072, 11283, 1060, 2919, 9128, 60, 6153, 1508, 20092, 1026, 2868, 2079, 44, 4071, 1254, 3459, 69, 30, 1005, 1770, 4882, 1009, 2079, 44, 4071, 1254, 3459, 69, 31, 15562, 19696, 88, 1006, 4806, 1009, 4203, 1276, 58, 1182, 20, 1009, 4203, 2503, 19217, 32, 2020, 90, 69, 12285, 89, 2555, 63, 13800, 17361, 1020, 7244, 69, 12285, 19574, 1479, 29566, 1094, 11309, 1048, 5149, 150, 1132, 4203, 1006, 4207, 2111, 2585, 1048, 1770, 10939, 1009, 2079, 69, 30181, 6996, 5250, 40, 69, 40, 59, 3107, 1276, 43, 16033, 1048, 1693, 1178, 9376, 1166, 1114, 2919, 18814, 19838, 51, 2752, 69, 12285, 10154, 11757, 7782, 3175, 13086, 2020, 90, 69, 12285, 89, 65, 67, 15562, 20224, 2484, 1068, 1006, 11309, 2079, 69, 30181, 6996, 5250, 40, 69, 40, 59, 4414, 42, 32, 4073, 22439, 5169, 1184, 6671, 2445, 1124, 4374, 2227, 1009, 22021, 1206, 3241, 1094, 10626, 12653, 1096, 2481, 19641, 5219, 12999, 1114, 11309, 4331, 1898, 16, 31491, 4203, 10945, 1006, 2919, 25238, 1175, 10668, 9214, 69, 30181, 6996, 57, 1175, 20693, 10945, 1006, 2919, 1940, 2713, 51, 2752, 69, 12285, 10154, 11757, 7782, 3175, 13086, 31538, 69, 12285, 89, 1128, 63, 13800, 17361, 1020, 7244, 69, 12285, 4521, 1205, 7194, 2445, 1119, 19217, 32, 1064, 76, 69, 12285, 1128, 63, 13800, 17361, 1020, 69, 24012, 69, 12285, 4521, 18109, 51, 2079, 69, 30181, 6996, 5250, 40, 69, 40, 59, 4414, 42, 25238, 3072, 1363, 4203, 2908, 1402, 1068, 2919, 24425, 1062, 2982, 50, 23651, 25432, 10273, 1538, 3776, 4826, 43, 69, 2982, 60, 69, 30181, 6996, 57, 69, 45, 4436, 8325, 79, 18332, 20199, 1246, 1559, 22481, 16331, 13086, 5, 35, 31538, 69, 12285, 89, 4521, 2462, 2616, 1058, 3366, 1195, 5413, 25238, 2462, 2616, 1058, 3366, 1195, 5413, 1142, 53, 8131, 10943, 31538, 69, 12285, 89, 5394, 3924, 1064, 76, 69, 12285, 20, 18656, 43, 1064, 76, 69, 12285, 4328, 20219, 1313, 46, 2606, 17361, 1020, 69, 1367, 29567, 69, 1491, 5028, 20, 1082, 6524, 43, 1538, 64, 69, 4826, 2393, 21515, 3640, 51, 15523, 13, 18303, 1064, 76, 69, 12285, 19, 1636, 20, 1313, 46, 2606, 17361, 1020, 69, 1367, 69, 6404, 18838, 28303, 86, 1330, 4521, 19224, 1538, 64, 69, 22580, 51, 26665, 19217, 69, 14607, 54, 15523, 13, 2604, 1064, 76, 69, 12285, 19, 1636, 20, 1313, 46, 2606, 17361, 1020, 69, 1367, 21799, 1255, 86, 6582, 1045, 20332, 12365, 4521, 19224, 1538, 64, 69, 3776, 29601, 54 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1236, 1161, 1009, 6046, 1175, 18636, 3331, 1978, 16615, 1173, 3835, 5540, 3498, 16117, 2488, 1008, 69, 3386, 3158, 7713, 2752, 69, 21468, 21457, 25297, 1461, 1148, 1059, 2018, 17350, 1049, 3284, 25238, 1587, 6160, 17350, 1060, 20558, 1009, 8568, 25238, 18636, 18636, 1978, 1426, 16, 1598, 2752, 69, 21468, 21457, 25297, 1461, 1148, 4521, 1205, 1461, 1148, 4266, 2204, 1008, 69, 3386, 79, 1504, 16400, 1230, 4355, 1958, 2079, 69, 31902, 3107, 4517, 39, 53, 69, 60, 2053, 47, 18561, 5, 1263, 1167, 32, 2020, 76, 25297, 1461, 1012, 2604, 2020, 76, 69, 94, 25297, 1461, 1012, 2007, 86, 69, 3386, 9442, 1164, 2020, 76, 69, 94, 25297, 1461, 1012, 6785, 1461, 1012, 4521, 2462, 2616, 2039, 8034, 1011, 2144, 9025, 1538, 3776, 4826, 43, 69, 2982, 60, 69, 60, 2053, 47, 14479, 69, 14607, 10274, 2606, 11426, 8325, 1358, 2077, 1253, 1011, 21012, 92, 1461, 1012, 1246, 2020, 76, 69, 94, 25297, 1461, 1012, 20, 2020, 76, 25297, 1461, 1012, 1246, 2020, 76, 69, 94, 25297, 1461, 1012, 1059, 18830, 20, 1011, 1108, 16078, 2020, 76, 25297, 1461, 1012, 20, 2020, 76, 25297, 1461, 1012, 12804, 1520, 1246, 2020, 92, 21799, 86, 23521, 7081, 1174, 3301, 2079, 69, 31902, 3107, 4517, 39, 53, 69, 60, 2053, 47, 18561, 25789, 1479, 7509, 6204, 6761, 1800, 1026, 14097, 1114, 6046, 1009, 5286, 29253, 8524, 20424, 9884, 23, 1128, 1623, 1009, 5286, 1043, 4169, 1009, 6016, 1006, 20558, 1009, 8568, 1996, 1060, 5351, 1049, 2868, 1797, 7096, 1620, 1160, 3241, 5447, 1094, 20558, 1009, 8568, 22465, 23758, 1026, 2868, 1071, 1134, 30, 19065, 2438, 1108, 13077, 1132, 6824, 1005, 1846, 11166, 1006, 20558, 2328, 1049, 5, 15821, 1027, 2124, 9072, 2470, 75, 1006, 6046, 1009, 5286, 5721, 1026, 26388, 8773, 1069, 1072, 3428, 1009, 9220, 1461, 1148, 1009, 1955, 1316, 1346, 8, 30814, 1006, 23750, 5707, 26, 8, 1005, 1006, 3629, 2177, 9376, 1140, 3482, 7195, 8522, 1094, 8227, 1048, 1201, 7195, 1124, 28053, 1009, 8568, 4999, 2565, 1005, 1124, 9310, 1068, 1026, 27189, 9520, 1006, 6627, 9884, 24, 1940, 8524, 20424, 9884, 24, 8214, 1623, 1073, 8131, 10895, 1043, 28053, 1009, 8568, 1059, 30, 1479, 9072, 4803, 4125, 1026, 9142, 1009, 20558, 1068, 1006, 2562, 10632, 4826, 43, 1048, 1325, 1114, 11309, 2079, 69, 50, 10274, 26665, 2870, 13561, 39, 63, 27694, 1024, 1877, 4178, 1068, 9525, 8018, 76, 1706, 1439, 2088, 9658, 1009, 9525, 1060, 2919, 2328, 1009, 9040, 1049, 9128, 60, 1533, 1015, 2624, 12816, 13527, 1044, 6840, 1009, 3756, 1048, 1026, 1592, 1160, 3241, 1094, 3922, 1009, 7939, 1068, 16410, 21455, 1206, 2276, 1880, 21104, 28920, 4874, 1068, 9525, 1009, 1044, 26546, 5280, 4534, 22233, 12500, 6761, 1800, 1159, 1096, 2481, 1663, 6546, 9007, 2175, 1278, 1072, 2868, 6153, 1508, 20092, 1026, 2868, 2079, 44, 4071, 1254, 3459, 69, 28, 1005, 1770, 4882, 1009, 2079, 44, 4071, 1254, 3459, 69, 29, 1005, 5433, 10939, 1124, 7395, 5129, 2535, 1299, 3241, 1008, 5408, 1132, 20566, 17498, 1299, 1298, 20092, 1026, 1048, 1325, 1072, 1852, 1049, 13501, 14975, 1479, 19696, 88, 1006, 3023, 1048, 1201, 7195, 1132, 6824, 1009, 9007, 26035, 19217, 32, 2020, 76, 69, 6986, 2555, 63, 13800, 17361, 1020, 69, 6986, 69, 24012, 19574, 1479, 29566, 1094, 11309, 1048, 5149, 150, 1132, 9658, 1006, 4207, 2111, 2585, 1026, 1428, 1770, 10939, 1009, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 10282, 1048, 17212, 1159, 9142, 1006, 3023, 29179, 1072, 6552, 25998, 16, 2422, 1877, 4178, 1009, 9525, 18814, 19838, 51, 2752, 69, 6986, 11757, 7782, 3175, 13086, 2020, 76, 69, 6986, 23333, 1479, 7453, 1068, 1026, 1598, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 1898, 16, 18109, 51, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 25238, 31491, 15972, 1009, 9525, 1060, 2919, 25238, 1175, 10668, 27260, 69, 9554, 24932, 1175, 24873, 1043, 15972, 1060, 9525, 1060, 2919, 1940, 2713, 51, 2752, 69, 6986, 11757, 7782, 3175, 13086, 1008, 76, 69, 6986, 1128, 63, 13800, 17361, 1020, 69, 6986, 69, 24012, 2098, 44, 69, 9554, 24932, 4273, 56, 24932, 4895, 27227, 1072, 6203, 53, 4562, 28282, 76, 69, 6986, 16499, 69, 6986, 6582, 1045, 6269, 1010, 1246, 1538, 62, 13, 3301, 2656, 6344, 1024, 1869, 1667, 1322, 5286, 28282, 76, 69, 6986, 16499, 69, 1066, 1446, 20538, 4895, 2656, 6344, 1024, 3922, 1009, 4474, 2142, 28282, 76, 69, 6986, 16499, 69, 6986, 18332, 6269, 1010, 1246, 1538, 62, 13, 3301, 2656, 6344, 1024, 1869, 1667, 1322, 1006, 2919, 1576, 44, 69, 9554, 24932, 5705, 2164, 2393, 18797, 69, 50, 2321, 2164, 4895, 3064, 1512, 1024, 4874, 1576, 44, 69, 9554, 24932, 9298, 53, 69, 52, 26249, 15434, 7567, 43, 4895, 4501, 3606, 8098, 1576, 44, 69, 9554, 24932, 9298, 53, 69, 13901, 2805, 11789, 69, 9554, 24932, 15434, 2053, 3642, 57, 1246, 1538, 62, 10415, 1150, 2656, 8383, 4466, 1060, 2618, 4895, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 17672, 1479, 9072, 4803, 4125, 1184, 1044, 9142, 1068, 1006, 2562, 10632, 4826, 43, 1048, 1325, 1114, 11309, 2079, 69, 50, 10274, 26665, 2870, 13561, 39, 63, 1898, 35, 2020, 76, 69, 6986, 28016, 1048, 25852, 1159, 9658, 1898, 1020, 69, 6986, 1246, 2020, 76, 69, 6986, 9690, 1060, 3023, 1043, 1124, 9007, 1009, 9525, 1276, 26018, 1321, 1435, 5625, 3606, 1006, 2919, 6153, 1005, 10514, 3057, 12500, 1048, 1096, 2481, 5525, 2350, 5625, 1060, 2618, 1060, 26954, 5494, 1159, 2837, 1094, 15098, 2005, 6036, 6588, 6299, 1009, 10609, 2625, 1463, 2465, 1314, 6481, 1365, 1734, 4355, 10939, 2156, 4617, 1121, 15839, 1005, 1808, 10939, 1213, 11881, 1006, 2562, 1009, 13595, 2089, 5625, 1006, 4207, 3935, 21579, 1972, 2742, 9637, 1006, 3023, 3793, 50, 2870, 69, 16549, 63, 53, 7270, 69, 2982, 60, 8, 1049, 2417, 1009, 4267, 3793, 50, 2870, 8, 6153, 1508, 20092, 1026, 2868, 2079, 44, 4071, 1254, 3459, 69, 29, 1005, 1770, 4882, 1009, 2079, 44, 4071, 1254, 3459, 69, 30, 14975, 1479, 29566, 1044, 3428, 2017, 1114, 4806, 1009, 4701, 1068, 1048, 1026, 1592, 2374, 1044, 15098, 7132, 33, 1048, 1770, 10939, 1009, 27590, 62, 1276, 16, 10, 16, 10, 1128, 12801, 1175, 18636, 8800, 3331, 1978, 1128, 63, 54, 2164, 32, 1106, 7146, 2321, 27735, 23335, 69, 1352, 2154, 5, 10990, 1065, 1142, 47, 30687, 1050, 72, 1956, 19, 10990, 14377, 2115, 10958, 1142, 47, 30687, 1050, 72, 1956, 19, 1227, 5984, 5295, 1065, 1142, 47, 30687, 1050, 72, 1956, 5291, 1302, 14377, 16577, 1218, 1142, 47, 30687, 1050, 72, 1956, 19, 2363, 13359, 15700, 93, 88, 1142, 47, 30687, 1050, 72, 1956, 4328, 1095, 93, 5793, 1050, 81, 3395, 1142, 47, 30687, 1050, 72, 1956, 6785, 81, 3395, 18, 1050, 90, 93, 1259, 1142, 47, 30687, 1050, 72, 1956, 6785, 90, 93, 1259, 18, 1015, 2993, 1142, 47, 30687, 1050, 72, 1956, 3498, 2993, 18, 1050, 81, 9231, 86, 1142, 47, 30687, 1050, 72, 1956, 6785, 81, 9231, 10718, 1050, 81, 20088, 1142, 47, 30687, 1050, 72, 1956, 6785, 81, 20088, 19569, 1144, 1035, 1060, 4272, 1009, 5641, 1150, 7544, 1009, 4173, 1150, 12465, 1069, 1118, 1150, 7544, 1060, 4272, 1150, 13173, 1009, 4272, 1150, 12651, 1064, 162, 29251, 1060, 4272, 1150, 2591, 14594, 1009, 6433, 1150, 14818, 1009, 6894, 1150, 25527, 1009, 4751, 1150, 5549, 1009, 24686, 1150, 26987, 1009, 6433, 1150, 19561, 7132, 27892, 19696, 88, 3023, 1009, 1064, 1730, 1079, 1931, 42, 19217, 32, 2020, 76, 69, 10962, 2555, 63, 13800, 17361, 1020, 69, 10962, 69, 24012, 23333, 1479, 29566, 1094, 11309, 1048, 5149, 150, 1132, 9658, 1006, 4207, 2111, 2585, 1026, 1428, 1770, 10939, 1009, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 10282, 1048, 17212, 1159, 9142, 1006, 3023, 29179, 1072, 6552, 25998, 20744, 1060, 2919, 1175, 1587, 5997, 1148, 1124, 25109, 18814, 19838, 51, 2752, 69, 10962, 11757, 7782, 3175, 13086, 2020, 76, 69, 10962, 15562, 7453, 1068, 1026, 1598, 2079, 69, 9554, 24932, 69, 40, 59, 4414, 42, 1898, 16, 26475, 1009, 4701, 25238, 1175, 10668, 27260, 69, 16549, 63, 53, 7270, 1175, 24873, 1068, 6920, 1009, 4701, 1060, 2919, 25238, 18636, 18636, 1978, 1426, 16, 18109, 51, 2752, 69, 10962, 11757, 7782, 3175, 13086, 1008, 76, 69, 10962, 1128, 63, 13800, 17361, 1020, 69, 10962, 69, 24012, 4355, 1958, 2079, 69, 16549, 63, 53, 7270, 69, 40, 59, 4414, 42, 25238, 3292, 2014, 1130, 5042, 1009, 1028, 162, 4507, 1009, 10609, 1068, 1681, 1164, 13239, 1008, 76, 69, 10962, 6179, 5432, 69, 23531, 69, 18286, 1246, 1538, 62, 13, 4521, 19561, 18254, 1114, 2919, 28282, 76, 69, 10962, 19, 7132, 69, 6103, 5598, 5, 35, 1538, 16045, 62, 13, 1059, 86, 76, 69, 10962, 19, 7132, 69, 10154, 5598, 4895, 2079, 69, 16549, 63, 53, 7270, 69, 40, 59, 4414, 42, 19893, 1479, 9072, 4803, 4125, 1184, 1044, 9142, 1068, 1006, 2562, 10632, 4826, 43, 1048, 1325, 1114, 11309, 2079, 69, 50, 10274, 26665, 2870, 13561, 39, 63, 1898, 35, 2020, 76, 69, 10962, 5, 1020, 69, 10962, 1246, 2020, 76, 69, 10962, 9690, 1060, 3023, 1043, 1124, 9007, 1064, 1730, 1079, 1931, 28, 1479, 1128, 1623, 1049, 23963, 29253, 8524, 20424, 10396, 23, 6454, 1043, 15098, 7132, 1059, 29, 1479, 28393, 16330, 1006, 5987, 1049, 2161, 8133, 2647, 1005, 1846, 9376, 75, 1026, 5646, 1009, 1681, 23922, 1467, 8227, 1006, 4054, 2177, 3321, 2154, 10310, 1124, 3918, 1009, 7814, 1112, 1068, 1006, 2465, 22935, 5754, 1026, 1184, 7296, 1096, 1006, 5987, 7311, 56, 2820, 1571, 1096, 2481, 6016, 1132, 6299, 1009, 10609, 1009, 2604, 1076, 2255, 8773, 75, 1026, 26388, 1072, 1592, 1005, 2438, 1108, 1006, 2562, 1134, 26, 1071, 1134, 1122, 20, 10396, 24, 675, 15973, 8524, 20424, 10396, 24, 1128, 1623, 1043, 1006, 4169, 1009, 4267, 1009, 10609, 2625, 1068, 1132, 6299, 1009, 29178, 1797, 31342, 4203, 1068, 3540, 9310, 1068, 1026, 6840, 1833, 2311, 4755, 2539, 4203, 1048, 4800, 30814, 1068, 5719, 1132, 1184, 4306, 5684, 1072, 6840, 20, 7509, 12500, 4803, 9149, 1132, 4203, 1749, 2565, 1206, 1184, 1274, 2585, 1068, 5172, 1048, 1096, 2481, 31364, 1072, 11283, 1060, 2919, 9128, 60, 6153, 1508, 20092, 1026, 2868, 2079, 44, 4071, 1254, 3459, 69, 30, 1005, 1770, 4882, 1009, 2079, 44, 4071, 1254, 3459, 69, 31, 15562, 19696, 88, 1006, 4806, 1009, 4203, 1276, 58, 1182, 20, 1009, 4203, 2503, 19217, 32, 2020, 90, 69, 12285, 89, 2555, 63, 13800, 17361, 1020, 7244, 69, 12285, 19574, 1479, 29566, 1094, 11309, 1048, 5149, 150, 1132, 4203, 1006, 4207, 2111, 2585, 1048, 1770, 10939, 1009, 2079, 69, 30181, 6996, 5250, 40, 69, 40, 59, 3107, 1276, 43, 16033, 1048, 1693, 1178, 9376, 1166, 1114, 2919, 18814, 19838, 51, 2752, 69, 12285, 10154, 11757, 7782, 3175, 13086, 2020, 90, 69, 12285, 89, 65, 67, 15562, 20224, 2484, 1068, 1006, 11309, 2079, 69, 30181, 6996, 5250, 40, 69, 40, 59, 4414, 42, 32, 4073, 22439, 5169, 1184, 6671, 2445, 1124, 4374, 2227, 1009, 22021, 1206, 3241, 1094, 10626, 12653, 1096, 2481, 19641, 5219, 12999, 1114, 11309, 4331, 1898, 16, 31491, 4203, 10945, 1006, 2919, 25238, 1175, 10668, 9214, 69, 30181, 6996, 57, 1175, 20693, 10945, 1006, 2919, 1940, 2713, 51, 2752, 69, 12285, 10154, 11757, 7782, 3175, 13086, 31538, 69, 12285, 89, 1128, 63, 13800, 17361, 1020, 7244, 69, 12285, 4521, 1205, 7194, 2445, 1119, 19217, 32, 1064, 76, 69, 12285, 1128, 63, 13800, 17361, 1020, 69, 24012, 69, 12285, 4521, 18109, 51, 2079, 69, 30181, 6996, 5250, 40, 69, 40, 59, 4414, 42, 25238, 3072, 1363, 4203, 2908, 1402, 1068, 2919, 24425, 1062, 2982, 50, 23651, 25432, 10273, 1538, 3776, 4826, 43, 69, 2982, 60, 69, 30181, 6996, 57, 69, 45, 4436, 8325, 79, 18332, 20199, 1246, 1559, 22481, 16331, 13086, 5, 35, 31538, 69, 12285, 89, 4521, 2462, 2616, 1058, 3366, 1195, 5413, 25238, 2462, 2616, 1058, 3366, 1195, 5413, 1142, 53, 8131, 10943, 31538, 69, 12285, 89, 5394, 3924, 1064, 76, 69, 12285, 20, 18656, 43, 1064, 76, 69, 12285, 4328, 20219, 1313, 46, 2606, 17361, 1020, 69, 1367, 29567, 69, 1491, 5028, 20, 1082, 6524, 43, 1538, 64, 69, 4826, 2393, 21515, 3640, 51, 15523, 13, 18303, 1064, 76, 69, 12285, 19, 1636, 20, 1313, 46, 2606, 17361, 1020, 69, 1367, 69, 6404, 18838, 28303, 86, 1330, 4521, 19224, 1538, 64, 69, 22580, 51, 26665, 19217, 69, 14607, 54, 15523, 13, 2604, 1064, 76, 69, 12285, 19, 1636, 20, 1313, 46, 2606, 17361, 1020, 69, 1367, 21799, 1255, 86, 6582, 1045, 20332, 12365, 4521, 19224, 1538, 64, 69, 3776, 29601, 54 ]

[ 3023, 1271, 3235, 1680, 1159, 1213, 4855, 1124, 16842, 1043, 14467, 1005, 27311, 2204, 2923, 13862, 30167, 1005, 5685, 1009, 9271, 1114, 15103, 4637, 3784, 5407, 1005, 1734, 8042, 1233, 22374, 1009, 6648, 1463, 1184, 22241, 1864, 1728, 1776, 3041, 1009, 8584, 11538, 23994, 1006, 3771, 11538, 23994, 6485, 14040, 1726, 3638, 1009, 4642, 5430, 10477, 4137, 21406, 1005, 1054, 4449, 1060, 3023, 1005, 1187, 5684, 1009, 15103, 6621, 1009, 8971, 1005, 3328, 11460, 1009, 28084, 16127, 1005, 16388, 1068, 14920, 1114, 11228, 1949, 5160, 3023, 7192, 1005, 11765, 1009, 7325, 7055, 1776, 3041, 1009, 8584, 10579, 23994, 1006, 4984, 10579, 23994, 1596, 8364, 14991, 1679, 7287, 1068, 16127, 1233, 11765, 1009, 7325, 7055, 1009, 5055, 2094, 12827, 5457, 1187, 7287, 1049, 1831, 4288, 1005, 3090, 1049, 4577, 17037, 4631, 1006, 1178, 2111, 2270, 2034, 3638, 20115, 1072, 3041, 1009, 8584, 10913, 23994, 1006, 2595, 10913, 23994, 1826, 9230, 1233, 14040, 1271, 14991, 1679, 16539, 1068, 2997, 16127, 18405, 1006, 11765, 1009, 7325, 7055, 1005, 3765, 1371, 2738, 1006, 6477, 1187, 6543, 1009, 1207, 12017, 2662, 26193, 1005, 10870, 1487, 21928, 1766, 6543, 1596, 4246, 3500, 1054, 12310, 2625, 1009, 2303, 1043, 1026, 2285, 1009, 7287, 1005, 4761, 1009, 4599, 20, 5845, 1026, 3681, 1009, 8819, 8448, 23, 10137, 23994, 1006, 4984, 10137, 7162, 11306, 1124, 3638, 22769, 9230, 1726, 14991, 1679, 16539, 1043, 5034, 1271, 14920, 27670, 1005, 3606, 16388, 1726, 3235, 1005, 1456, 13248, 1680, 1159, 14040, 1009, 6446, 1187, 6543, 1679, 15654, 1005, 6044, 20, 1587, 5156, 6621, 1060, 17164, 1187, 7287, 1187, 6543, 1680, 1159, 25006, 1049, 4318, 9270, 4457, 13823, 2698, 19, 1307, 4332, 19893, 1058, 1318, 1006, 2935, 1187, 24983, 1068, 4207, 19803, 1679, 7287, 20, 3126, 4949, 1026, 9993, 1060, 2750, 6947, 1009, 14629, 1554, 5845, 1026, 3041, 1009, 8584, 10546, 23994, 1006, 2595, 10148, 7162, 2534, 1596, 9309, 1132, 6543, 1463, 4761, 7148, 1580, 1356, 15163, 1766, 3770, 1049, 2743, 1596, 28931, 1054, 4203, 1005, 1841, 3199, 1333, 1009, 1083, 7447, 23994, 1006, 1782, 9062, 7162, 3537, 3126, 3330, 1044, 6840, 1271, 6982, 1049, 11797, 1005, 1044, 7566, 1271, 3638, 20, 23522, 22826, 15104, 32, 12711, 1412, 1271, 14991, 3771, 3040, 11176, 1365, 2754, 17657, 4065, 1009, 16539, 10418, 1009, 6648, 20, 16324, 3771, 3040, 11176, 3404, 21, 3989, 26, 15497, 2084, 3502, 9395, 9977, 14920, 1294, 5684, 1009, 8293, 31516, 3023, 7192, 1005, 6820, 1187, 26051, 2034, 16388, 1679, 14467, 1005, 6044, 1596, 1680, 3599, 1907, 1114, 3364, 1187, 3040, 11176, 16629, 1094, 1853, 3450, 1005, 10695, 1049, 17955, 2817, 4457, 16324, 16539, 7148, 1402, 2277, 1124, 8862, 10582, 4800, 19106, 9580, 1006, 6363, 3849, 10024, 13842, 1349, 6727, 13983, 17466, 25072, 13379, 2149, 17021, 1349, 23543, 1081, 6184, 15127, 9395, 1005, 16504, 15127, 9395, 4593, 22865, 1083, 1565, 4733, 1124, 5179, 6481, 1596, 3249, 1312, 14920, 1054, 2224, 15497, 2400, 13113, 9395, 1187, 2322, 1006, 6363, 20251, 1487, 15497, 2394, 4406, 9395, 1271, 1675, 6727, 1024, 4065, 1307, 1071, 5515, 9395, 1187, 1422, 29952, 1083, 5660, 31723, 9395, 1005, 1083, 1071, 2704, 9395, 1271, 1101, 23543, 1081, 6184, 7287, 4593, 22865, 1101, 1349, 1063, 6894, 2277, 1132, 8293, 28376, 1009, 1752, 4783, 7148, 1402, 1356, 2743, 1195, 32, 8293, 28376, 1009, 16970, 1166, 3734, 8401, 1131, 16504, 1009, 6648, 2971, 8401, 1009, 1006, 6363, 3849, 3295, 8401, 1009, 6727, 13983, 2182, 8401, 1009, 23543, 1081, 6184, 1782, 8401, 2277, 4800, 10698, 1114, 6627, 5142, 12711, 1412, 1187, 6543, 3771, 26, 6963, 1463, 2848, 23063, 1365, 6546, 8293, 28376, 1009, 6648, 1009, 23543, 1081, 6184, 3939, 21, 3989, 26, 1071, 8997, 2337, 25072, 1006, 6363, 3849, 12336, 21, 3989, 26, 2149, 2471, 5988, 25072, 6727, 13983, 3295, 21, 3989, 26, 1071, 2525, 5515, 25072, 13379, 3939, 21, 3989, 26, 10183, 18, 2337, 25072, 16504, 1984, 21, 3989, 26, 1071, 2400, 3989, 9395, 1005, 8174, 1037, 2032, 30955, 21, 3989, 26, 1071, 1422, 2471, 16785, 1565, 9216, 9929, 28, 5826, 14697, 1187, 1338, 15880, 2130, 1779, 11, 1779, 11, 2322, 11, 1487, 13842, 3186, 11, 1063, 130, 22268, 21698, 2164, 1073, 2980, 2053, 25571, 23522, 5250, 6767, 14479, 2164, 1142, 2805, 13901, 2581, 4436, 2164, 5394, 42, 145, 4233, 5264, 2545, 27845, 6480, 5826, 14697, 1187, 16539, 2277, 8862, 1463, 4761, 1009, 2642, 1065, 1411, 15148, 5600, 3614, 1258, 6876, 150, 1005, 3584, 1796, 2570, 1411, 3041, 2992, 1006, 3383, 1009, 5826, 4216, 91, 1346, 1187, 16539, 2277, 14920, 27670, 1063, 130, 22268, 21698, 43, 1073, 2980, 29008, 23522, 5250, 6767, 18561, 5394, 42, 145, 4233, 5264, 2545, 1142, 2805, 13901, 2581, 4436, 2164, 1128, 8820, 2982, 1082, 4186, 23950, 2053, 3642, 27845, 6221, 5826, 14697, 1187, 16539, 2277, 1124, 14920, 27670, 1054, 16539, 1271, 4761, 1009, 2642, 1065, 1411, 15148, 5600, 3614, 1258, 6876, 150, 1005, 3584, 1796, 2570, 1411, 1986, 1006, 11765, 1049, 11797, 3041, 1009, 2992, 1006, 3383, 13546, 29, 2878, 1192, 28376, 7148, 1402, 1356, 2743, 24608, 3295, 11, 15269, 2182, 11, 3734, 11, 1063, 130, 22268, 21698, 43, 1073, 2980, 29008, 23522, 5250, 6767, 18561, 1142, 2805, 13901, 2581, 4436, 2164, 5394, 42, 145, 4233, 5264, 2545, 27845, 6773, 5826, 14697, 2277, 8293, 28376, 7148, 1402, 1356, 11797, 1463, 4761, 1009, 2642, 1065, 1411, 15148, 5600, 3614, 1258, 6876, 150, 1005, 3584, 1796, 2570, 1411, 3041, 1009, 2992, 1006, 3383, 1009, 14942, 13241, 32, 1776, 16444, 1049, 2743, 14813, 18208, 1009, 3606, 1717, 1076, 4650, 1992, 1159, 1026, 17922, 75, 10394, 1009, 5502, 20, 1505, 8326, 1187, 1858, 19023, 24997, 1371, 1048, 1124, 3235, 1049, 11223, 5565, 1874, 7148, 1975, 1799, 2084, 3452, 11, 1049, 3225, 1009, 9088, 3866, 1402, 1005, 1048, 1620, 1325, 1054, 2568, 1009, 11765, 1009, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 2367, 1157, 6256, 1006, 19410, 1009, 1160, 13377, 1436, 9230, 1006, 22741, 1049, 26000, 1063, 3364, 1271, 27706, 11041, 1195, 7336, 1236, 1118, 14920, 30167, 9750, 11718, 1009, 2088, 6486, 1005, 31714, 1690, 4261, 1005, 5283, 1009, 3233, 14283, 22791, 1187, 6044, 1005, 27634, 1060, 30047, 1072, 14489, 1096, 2512, 12305, 3033, 1006, 4716, 1049, 7534, 21555, 1049, 4987, 1005, 6389, 1206, 1058, 3654, 8087, 1271, 2962, 6481, 1068, 1006, 6389, 1187, 8811, 27733, 11959, 6851, 1580, 1124, 7325, 7055, 1009, 2303, 1043, 1752, 18744, 7008, 1006, 11765, 1187, 2539, 5283, 1009, 28084, 1992, 1159, 1006, 12460, 1271, 26736, 1005, 1187, 6486, 20, 1063, 3364, 1271, 3235, 4360, 19369, 1006, 4493, 1060, 3227, 11289, 2328, 1060, 11765, 1009, 1106, 19498, 20, 17695, 3235, 2067, 5157, 1307, 21, 3989, 8545, 1566, 1826, 1043, 1044, 2380, 1009, 7325, 7055, 7028, 1599, 1422, 21, 3989, 1826, 16435, 7028, 2094, 1005, 2089, 1422, 21, 3989, 1826, 16435, 1853, 4065, 1992, 1159, 1124, 23180, 1009, 1871, 1184, 3023, 12996, 9216, 16085, 30, 6445, 14732, 4826, 12175, 32, 2462, 1339, 2923, 1048, 1006, 17164, 1049, 2743, 1009, 11765, 1009, 2695, 1016, 1073, 1470, 1392, 1009, 22213, 2094, 1195, 1493, 3593, 1365, 1124, 3235, 2067, 5157, 1005, 1048, 1043, 16127, 4592, 1273, 21302, 1048, 1160, 25954, 1046, 1054, 1807, 6573, 1009, 3861, 1005, 27634, 1060, 15539, 1096, 2481, 1006, 11765, 1009, 7325, 1176, 17599, 1187, 19388, 10717, 1005, 1187, 23704, 6806, 3027, 1159, 21430, 1272, 1006, 11765, 1049, 4772, 54, 10345, 1006, 2729, 25926, 1063, 12460, 1060, 3450, 1187, 16545, 17384, 1853, 6820, 1005, 17204, 18, 1043, 18016, 3343, 1005, 1187, 16545, 12385, 4957, 1271, 14774, 5700, 16520, 1184, 23695, 1005, 1184, 2813, 1452, 1072, 14903, 10632, 44, 2393, 30925, 6125, 2545, 32, 13727, 2393, 17388, 22906, 13727, 2393, 41, 1009, 1073, 29814, 1009, 2231, 2891, 1055, 1005, 10504, 1009, 14755, 6558, 1068, 23354, 1070, 3843, 13727, 2393, 17388, 7819, 23482, 1764, 4989, 9128, 20471, 3107, 2722, 7833, 28170, 1138, 2380, 1009, 1207, 5071, 10345, 54, 1159, 10833, 1068, 3871, 1006, 18959, 91, 1149, 1187, 6648, 20, 10097, 1207, 12017, 2662, 1387, 6243, 18, 1764, 4989, 14575, 23, 2471, 13331, 29, 2084, 1008, 2457, 12397, 9816, 56, 14083, 2722, 12167, 6759, 22906, 1009, 2695, 1016, 1073, 4342, 6997, 1764, 13858, 24273, 5132, 1389, 2274, 7877, 15523, 3402, 18, 6015, 7833, 7833, 3047, 9834, 1009, 3195, 1064, 2137, 1133, 1554, 1764, 13858, 16413, 1009, 6468, 1031, 1626, 4261, 6906, 21193, 20, 4813, 1060, 4300, 20, 26559, 13331, 2322, 24, 2414, 1009, 3727, 1009, 3113, 1009, 27096, 5892, 1322, 1026, 3603, 1009, 3450, 1114, 2236, 1009, 6648, 20, 11248, 10771, 1060, 29026, 17145, 1119, 9472, 1008, 2457, 1101, 2256, 22692, 19467, 21193, 20, 4813, 1060, 4300, 20, 26559, 13331, 8111, 2443, 1009, 2595, 1009, 3353, 1009, 1063, 2099, 1589, 1026, 25281, 6304, 3730, 8535, 1887, 1207, 12017, 2087, 1221, 4134, 1056, 15594, 1005, 1009, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 1068, 1338, 15880, 2130, 10304, 1888, 21, 17623, 1432, 1092, 1314, 1544, 1009, 1387, 2130, 2100, 11248, 10771, 1060, 29026, 17145, 1119, 9472, 1008, 2457, 1083, 8662, 22692, 19467, 21193, 20, 4813, 1060, 14743, 1005, 2642, 1593, 5770, 20, 26559, 13331, 1422, 2443, 1009, 1782, 1009, 3403, 1009, 15279, 79, 1026, 2380, 1009, 5034, 1009, 8351, 1005, 3328, 11460, 1009, 3603, 32, 4772, 54, 10345, 1006, 1178, 7028, 1069, 1463, 16504, 1009, 3195, 1009, 4599, 2764, 3424, 11248, 10771, 1060, 29026, 17145, 1119, 9472, 1782, 9118, 22692, 19467, 21806, 26626, 7185, 1106, 4752, 14172, 4043, 6770, 1142, 15523, 45, 4071, 9472, 7536, 4151, 13069, 10933, 1187, 6648, 20, 1764, 13858, 15921, 1051, 12850, 6906, 9216, 19194, 31, 1163, 2393, 51, 2805, 7185, 7536, 47, 17153, 29542, 9128, 20, 2878, 1192, 28376, 1009, 1387, 2130, 32, 3619, 1139, 1698, 37, 2013, 1760, 1667, 20225, 1046, 1754, 37, 13372, 4230, 37, 10097, 1207, 12017, 2662, 1387, 6243, 18, 1764, 4989, 14575, 23, 2471, 13331, 5988, 25507, 2534, 6906, 3430, 7045, 2084, 1163, 2393, 51, 2805, 7185, 1073, 4043, 10046, 20, 1005, 1163, 2393, 51, 2805, 7185, 7536, 47, 17153, 1207, 12017, 2662, 1005, 27693, 4833, 8194, 1009, 6648, 20, 1101, 1970, 3677, 1027, 13858, 60, 11103, 1126, 2102, 2308, 1207, 10279, 9045, 1106, 3375, 18, 1123, 10279, 2393, 13462, 4808, 5621, 94, 6269, 1087, 1161, 9036, 40, 4071, 6854, 7301, 1009, 6648, 16013, 1073, 2545, 33, 5321, 1054, 3177, 3330, 1531, 3404, 1009, 3383, 1009, 1972, 20187, 1668, 2859, 32, 1128, 39, 49, 39, 63, 3642, 2722, 1144, 1061, 4390, 2662, 1067, 33, 11136, 46, 47, 3831, 18, 7144, 1731, 33, 1067, 3071, 7185, 10370, 3150, 20532, 1120, 1112, 1009, 7325, 7055, 1009, 13304, 1054, 3235, 1049, 11223, 5565, 1874, 20, 15843, 1842, 6445, 16106, 21270, 2818, 14095, 59, 7521, 4824, 5462, 1144, 2713, 3710, 1073, 10273, 18150, 7503, 1301, 14280, 2376, 1102, 1715, 59, 2606, 54, 2828, 7506, 1049, 3826, 1049, 8921, 4316, 1009, 7564, 6268, 5817, 1005, 1060, 5673, 1005, 4316, 1009, 14911, 11906, 1005, 4158, 2223, 7503, 27616, 5489, 21305, 52, 1008, 5, 5703, 4812, 17533, 11756, 5462, 11884, 58, 3776, 19484, 1067, 5356, 1062, 3071, 2053, 2321, 2606, 11840, 11670, 1009, 10482, 1054, 1387, 2130, 8605, 1009, 1535, 3993, 1027, 1009, 1338, 17016, 15629, 2982, 3726, 4824, 23218, 6445, 20785, 14506, 1207, 8524, 47, 30925, 13889, 4134, 2805, 4503, 29034, 2545, 13076, 8883, 22163, 4824, 2818, 6793, 40, 7270, 3107, 2428, 1062, 124, 56, 52, 43, 2428, 11078, 1052, 12933, 3979, 5581, 1467, 2838, 2189, 1271, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 1054, 20, 1460, 1035, 1917, 13634, 1049, 8653, 3517, 4334, 44, 1308, 7851, 17608, 1009, 8750, 8438, 1009, 7564, 1060, 4300, 7414, 1009, 19331, 5737, 22186, 1271, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 1054, 1460, 1035, 1917, 13634, 1049, 8653, 3517, 4334, 22351, 1142, 1730, 89, 1226, 14413, 5751, 8750, 19936, 4152, 1, 2034, 3145, 19582, 18803, 5821, 1049, 1908, 2476, 1302, 13596, 1006, 7898, 1049, 2670, 1264, 2784, 14900, 9581, 11055, 50, 1349, 1009, 2225, 1130, 1026, 4813, 1049, 8605, 1006, 2924, 7102, 1054, 1235, 2671, 1533, 2204, 13776, 8430, 1140, 1357, 2373, 44, 1078, 1107, 4324, 1195, 22544, 1118, 9581, 1114, 3232, 2429, 9307, 15127, 1565, 2200, 18, 1072, 2268, 1160, 9704, 1006, 1428, 7102, 1026, 4813, 1049, 8605, 1976, 1178, 25398, 1533, 1228, 45, 58, 1318, 21345, 1026, 3745, 1732, 2373, 1040, 1310, 10540, 626, 1048, 1026, 2017, 17546, 4597, 1005, 4979, 1048, 2373, 1285, 94, 1014, 1054, 1094, 7102, 2072, 9080, 1159, 2122, 1096, 1094, 1871, 1009, 22074, 2289, 1026, 2464, 1213, 2729, 1009, 26245, 1195, 3330, 1054, 8389, 1009, 1094, 4263, 1184, 3579, 1126, 5580, 23797, 1043, 2011, 2349, 1091, 1005, 1853, 6894, 1009, 7562, 626, 4578, 1006, 11017, 40, 2663, 19377, 1187, 1067, 6199, 2746 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3023, 1271, 3235, 1680, 1159, 1213, 4855, 1124, 16842, 1043, 14467, 1005, 27311, 2204, 2923, 13862, 30167, 1005, 5685, 1009, 9271, 1114, 15103, 4637, 3784, 5407, 1005, 1734, 8042, 1233, 22374, 1009, 6648, 1463, 1184, 22241, 1864, 1728, 1776, 3041, 1009, 8584, 11538, 23994, 1006, 3771, 11538, 23994, 6485, 14040, 1726, 3638, 1009, 4642, 5430, 10477, 4137, 21406, 1005, 1054, 4449, 1060, 3023, 1005, 1187, 5684, 1009, 15103, 6621, 1009, 8971, 1005, 3328, 11460, 1009, 28084, 16127, 1005, 16388, 1068, 14920, 1114, 11228, 1949, 5160, 3023, 7192, 1005, 11765, 1009, 7325, 7055, 1776, 3041, 1009, 8584, 10579, 23994, 1006, 4984, 10579, 23994, 1596, 8364, 14991, 1679, 7287, 1068, 16127, 1233, 11765, 1009, 7325, 7055, 1009, 5055, 2094, 12827, 5457, 1187, 7287, 1049, 1831, 4288, 1005, 3090, 1049, 4577, 17037, 4631, 1006, 1178, 2111, 2270, 2034, 3638, 20115, 1072, 3041, 1009, 8584, 10913, 23994, 1006, 2595, 10913, 23994, 1826, 9230, 1233, 14040, 1271, 14991, 1679, 16539, 1068, 2997, 16127, 18405, 1006, 11765, 1009, 7325, 7055, 1005, 3765, 1371, 2738, 1006, 6477, 1187, 6543, 1009, 1207, 12017, 2662, 26193, 1005, 10870, 1487, 21928, 1766, 6543, 1596, 4246, 3500, 1054, 12310, 2625, 1009, 2303, 1043, 1026, 2285, 1009, 7287, 1005, 4761, 1009, 4599, 20, 5845, 1026, 3681, 1009, 8819, 8448, 23, 10137, 23994, 1006, 4984, 10137, 7162, 11306, 1124, 3638, 22769, 9230, 1726, 14991, 1679, 16539, 1043, 5034, 1271, 14920, 27670, 1005, 3606, 16388, 1726, 3235, 1005, 1456, 13248, 1680, 1159, 14040, 1009, 6446, 1187, 6543, 1679, 15654, 1005, 6044, 20, 1587, 5156, 6621, 1060, 17164, 1187, 7287, 1187, 6543, 1680, 1159, 25006, 1049, 4318, 9270, 4457, 13823, 2698, 19, 1307, 4332, 19893, 1058, 1318, 1006, 2935, 1187, 24983, 1068, 4207, 19803, 1679, 7287, 20, 3126, 4949, 1026, 9993, 1060, 2750, 6947, 1009, 14629, 1554, 5845, 1026, 3041, 1009, 8584, 10546, 23994, 1006, 2595, 10148, 7162, 2534, 1596, 9309, 1132, 6543, 1463, 4761, 7148, 1580, 1356, 15163, 1766, 3770, 1049, 2743, 1596, 28931, 1054, 4203, 1005, 1841, 3199, 1333, 1009, 1083, 7447, 23994, 1006, 1782, 9062, 7162, 3537, 3126, 3330, 1044, 6840, 1271, 6982, 1049, 11797, 1005, 1044, 7566, 1271, 3638, 20, 23522, 22826, 15104, 32, 12711, 1412, 1271, 14991, 3771, 3040, 11176, 1365, 2754, 17657, 4065, 1009, 16539, 10418, 1009, 6648, 20, 16324, 3771, 3040, 11176, 3404, 21, 3989, 26, 15497, 2084, 3502, 9395, 9977, 14920, 1294, 5684, 1009, 8293, 31516, 3023, 7192, 1005, 6820, 1187, 26051, 2034, 16388, 1679, 14467, 1005, 6044, 1596, 1680, 3599, 1907, 1114, 3364, 1187, 3040, 11176, 16629, 1094, 1853, 3450, 1005, 10695, 1049, 17955, 2817, 4457, 16324, 16539, 7148, 1402, 2277, 1124, 8862, 10582, 4800, 19106, 9580, 1006, 6363, 3849, 10024, 13842, 1349, 6727, 13983, 17466, 25072, 13379, 2149, 17021, 1349, 23543, 1081, 6184, 15127, 9395, 1005, 16504, 15127, 9395, 4593, 22865, 1083, 1565, 4733, 1124, 5179, 6481, 1596, 3249, 1312, 14920, 1054, 2224, 15497, 2400, 13113, 9395, 1187, 2322, 1006, 6363, 20251, 1487, 15497, 2394, 4406, 9395, 1271, 1675, 6727, 1024, 4065, 1307, 1071, 5515, 9395, 1187, 1422, 29952, 1083, 5660, 31723, 9395, 1005, 1083, 1071, 2704, 9395, 1271, 1101, 23543, 1081, 6184, 7287, 4593, 22865, 1101, 1349, 1063, 6894, 2277, 1132, 8293, 28376, 1009, 1752, 4783, 7148, 1402, 1356, 2743, 1195, 32, 8293, 28376, 1009, 16970, 1166, 3734, 8401, 1131, 16504, 1009, 6648, 2971, 8401, 1009, 1006, 6363, 3849, 3295, 8401, 1009, 6727, 13983, 2182, 8401, 1009, 23543, 1081, 6184, 1782, 8401, 2277, 4800, 10698, 1114, 6627, 5142, 12711, 1412, 1187, 6543, 3771, 26, 6963, 1463, 2848, 23063, 1365, 6546, 8293, 28376, 1009, 6648, 1009, 23543, 1081, 6184, 3939, 21, 3989, 26, 1071, 8997, 2337, 25072, 1006, 6363, 3849, 12336, 21, 3989, 26, 2149, 2471, 5988, 25072, 6727, 13983, 3295, 21, 3989, 26, 1071, 2525, 5515, 25072, 13379, 3939, 21, 3989, 26, 10183, 18, 2337, 25072, 16504, 1984, 21, 3989, 26, 1071, 2400, 3989, 9395, 1005, 8174, 1037, 2032, 30955, 21, 3989, 26, 1071, 1422, 2471, 16785, 1565, 9216, 9929, 28, 5826, 14697, 1187, 1338, 15880, 2130, 1779, 11, 1779, 11, 2322, 11, 1487, 13842, 3186, 11, 1063, 130, 22268, 21698, 2164, 1073, 2980, 2053, 25571, 23522, 5250, 6767, 14479, 2164, 1142, 2805, 13901, 2581, 4436, 2164, 5394, 42, 145, 4233, 5264, 2545, 27845, 6480, 5826, 14697, 1187, 16539, 2277, 8862, 1463, 4761, 1009, 2642, 1065, 1411, 15148, 5600, 3614, 1258, 6876, 150, 1005, 3584, 1796, 2570, 1411, 3041, 2992, 1006, 3383, 1009, 5826, 4216, 91, 1346, 1187, 16539, 2277, 14920, 27670, 1063, 130, 22268, 21698, 43, 1073, 2980, 29008, 23522, 5250, 6767, 18561, 5394, 42, 145, 4233, 5264, 2545, 1142, 2805, 13901, 2581, 4436, 2164, 1128, 8820, 2982, 1082, 4186, 23950, 2053, 3642, 27845, 6221, 5826, 14697, 1187, 16539, 2277, 1124, 14920, 27670, 1054, 16539, 1271, 4761, 1009, 2642, 1065, 1411, 15148, 5600, 3614, 1258, 6876, 150, 1005, 3584, 1796, 2570, 1411, 1986, 1006, 11765, 1049, 11797, 3041, 1009, 2992, 1006, 3383, 13546, 29, 2878, 1192, 28376, 7148, 1402, 1356, 2743, 24608, 3295, 11, 15269, 2182, 11, 3734, 11, 1063, 130, 22268, 21698, 43, 1073, 2980, 29008, 23522, 5250, 6767, 18561, 1142, 2805, 13901, 2581, 4436, 2164, 5394, 42, 145, 4233, 5264, 2545, 27845, 6773, 5826, 14697, 2277, 8293, 28376, 7148, 1402, 1356, 11797, 1463, 4761, 1009, 2642, 1065, 1411, 15148, 5600, 3614, 1258, 6876, 150, 1005, 3584, 1796, 2570, 1411, 3041, 1009, 2992, 1006, 3383, 1009, 14942, 13241, 32, 1776, 16444, 1049, 2743, 14813, 18208, 1009, 3606, 1717, 1076, 4650, 1992, 1159, 1026, 17922, 75, 10394, 1009, 5502, 20, 1505, 8326, 1187, 1858, 19023, 24997, 1371, 1048, 1124, 3235, 1049, 11223, 5565, 1874, 7148, 1975, 1799, 2084, 3452, 11, 1049, 3225, 1009, 9088, 3866, 1402, 1005, 1048, 1620, 1325, 1054, 2568, 1009, 11765, 1009, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 2367, 1157, 6256, 1006, 19410, 1009, 1160, 13377, 1436, 9230, 1006, 22741, 1049, 26000, 1063, 3364, 1271, 27706, 11041, 1195, 7336, 1236, 1118, 14920, 30167, 9750, 11718, 1009, 2088, 6486, 1005, 31714, 1690, 4261, 1005, 5283, 1009, 3233, 14283, 22791, 1187, 6044, 1005, 27634, 1060, 30047, 1072, 14489, 1096, 2512, 12305, 3033, 1006, 4716, 1049, 7534, 21555, 1049, 4987, 1005, 6389, 1206, 1058, 3654, 8087, 1271, 2962, 6481, 1068, 1006, 6389, 1187, 8811, 27733, 11959, 6851, 1580, 1124, 7325, 7055, 1009, 2303, 1043, 1752, 18744, 7008, 1006, 11765, 1187, 2539, 5283, 1009, 28084, 1992, 1159, 1006, 12460, 1271, 26736, 1005, 1187, 6486, 20, 1063, 3364, 1271, 3235, 4360, 19369, 1006, 4493, 1060, 3227, 11289, 2328, 1060, 11765, 1009, 1106, 19498, 20, 17695, 3235, 2067, 5157, 1307, 21, 3989, 8545, 1566, 1826, 1043, 1044, 2380, 1009, 7325, 7055, 7028, 1599, 1422, 21, 3989, 1826, 16435, 7028, 2094, 1005, 2089, 1422, 21, 3989, 1826, 16435, 1853, 4065, 1992, 1159, 1124, 23180, 1009, 1871, 1184, 3023, 12996, 9216, 16085, 30, 6445, 14732, 4826, 12175, 32, 2462, 1339, 2923, 1048, 1006, 17164, 1049, 2743, 1009, 11765, 1009, 2695, 1016, 1073, 1470, 1392, 1009, 22213, 2094, 1195, 1493, 3593, 1365, 1124, 3235, 2067, 5157, 1005, 1048, 1043, 16127, 4592, 1273, 21302, 1048, 1160, 25954, 1046, 1054, 1807, 6573, 1009, 3861, 1005, 27634, 1060, 15539, 1096, 2481, 1006, 11765, 1009, 7325, 1176, 17599, 1187, 19388, 10717, 1005, 1187, 23704, 6806, 3027, 1159, 21430, 1272, 1006, 11765, 1049, 4772, 54, 10345, 1006, 2729, 25926, 1063, 12460, 1060, 3450, 1187, 16545, 17384, 1853, 6820, 1005, 17204, 18, 1043, 18016, 3343, 1005, 1187, 16545, 12385, 4957, 1271, 14774, 5700, 16520, 1184, 23695, 1005, 1184, 2813, 1452, 1072, 14903, 10632, 44, 2393, 30925, 6125, 2545, 32, 13727, 2393, 17388, 22906, 13727, 2393, 41, 1009, 1073, 29814, 1009, 2231, 2891, 1055, 1005, 10504, 1009, 14755, 6558, 1068, 23354, 1070, 3843, 13727, 2393, 17388, 7819, 23482, 1764, 4989, 9128, 20471, 3107, 2722, 7833, 28170, 1138, 2380, 1009, 1207, 5071, 10345, 54, 1159, 10833, 1068, 3871, 1006, 18959, 91, 1149, 1187, 6648, 20, 10097, 1207, 12017, 2662, 1387, 6243, 18, 1764, 4989, 14575, 23, 2471, 13331, 29, 2084, 1008, 2457, 12397, 9816, 56, 14083, 2722, 12167, 6759, 22906, 1009, 2695, 1016, 1073, 4342, 6997, 1764, 13858, 24273, 5132, 1389, 2274, 7877, 15523, 3402, 18, 6015, 7833, 7833, 3047, 9834, 1009, 3195, 1064, 2137, 1133, 1554, 1764, 13858, 16413, 1009, 6468, 1031, 1626, 4261, 6906, 21193, 20, 4813, 1060, 4300, 20, 26559, 13331, 2322, 24, 2414, 1009, 3727, 1009, 3113, 1009, 27096, 5892, 1322, 1026, 3603, 1009, 3450, 1114, 2236, 1009, 6648, 20, 11248, 10771, 1060, 29026, 17145, 1119, 9472, 1008, 2457, 1101, 2256, 22692, 19467, 21193, 20, 4813, 1060, 4300, 20, 26559, 13331, 8111, 2443, 1009, 2595, 1009, 3353, 1009, 1063, 2099, 1589, 1026, 25281, 6304, 3730, 8535, 1887, 1207, 12017, 2087, 1221, 4134, 1056, 15594, 1005, 1009, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 1068, 1338, 15880, 2130, 10304, 1888, 21, 17623, 1432, 1092, 1314, 1544, 1009, 1387, 2130, 2100, 11248, 10771, 1060, 29026, 17145, 1119, 9472, 1008, 2457, 1083, 8662, 22692, 19467, 21193, 20, 4813, 1060, 14743, 1005, 2642, 1593, 5770, 20, 26559, 13331, 1422, 2443, 1009, 1782, 1009, 3403, 1009, 15279, 79, 1026, 2380, 1009, 5034, 1009, 8351, 1005, 3328, 11460, 1009, 3603, 32, 4772, 54, 10345, 1006, 1178, 7028, 1069, 1463, 16504, 1009, 3195, 1009, 4599, 2764, 3424, 11248, 10771, 1060, 29026, 17145, 1119, 9472, 1782, 9118, 22692, 19467, 21806, 26626, 7185, 1106, 4752, 14172, 4043, 6770, 1142, 15523, 45, 4071, 9472, 7536, 4151, 13069, 10933, 1187, 6648, 20, 1764, 13858, 15921, 1051, 12850, 6906, 9216, 19194, 31, 1163, 2393, 51, 2805, 7185, 7536, 47, 17153, 29542, 9128, 20, 2878, 1192, 28376, 1009, 1387, 2130, 32, 3619, 1139, 1698, 37, 2013, 1760, 1667, 20225, 1046, 1754, 37, 13372, 4230, 37, 10097, 1207, 12017, 2662, 1387, 6243, 18, 1764, 4989, 14575, 23, 2471, 13331, 5988, 25507, 2534, 6906, 3430, 7045, 2084, 1163, 2393, 51, 2805, 7185, 1073, 4043, 10046, 20, 1005, 1163, 2393, 51, 2805, 7185, 7536, 47, 17153, 1207, 12017, 2662, 1005, 27693, 4833, 8194, 1009, 6648, 20, 1101, 1970, 3677, 1027, 13858, 60, 11103, 1126, 2102, 2308, 1207, 10279, 9045, 1106, 3375, 18, 1123, 10279, 2393, 13462, 4808, 5621, 94, 6269, 1087, 1161, 9036, 40, 4071, 6854, 7301, 1009, 6648, 16013, 1073, 2545, 33, 5321, 1054, 3177, 3330, 1531, 3404, 1009, 3383, 1009, 1972, 20187, 1668, 2859, 32, 1128, 39, 49, 39, 63, 3642, 2722, 1144, 1061, 4390, 2662, 1067, 33, 11136, 46, 47, 3831, 18, 7144, 1731, 33, 1067, 3071, 7185, 10370, 3150, 20532, 1120, 1112, 1009, 7325, 7055, 1009, 13304, 1054, 3235, 1049, 11223, 5565, 1874, 20, 15843, 1842, 6445, 16106, 21270, 2818, 14095, 59, 7521, 4824, 5462, 1144, 2713, 3710, 1073, 10273, 18150, 7503, 1301, 14280, 2376, 1102, 1715, 59, 2606, 54, 2828, 7506, 1049, 3826, 1049, 8921, 4316, 1009, 7564, 6268, 5817, 1005, 1060, 5673, 1005, 4316, 1009, 14911, 11906, 1005, 4158, 2223, 7503, 27616, 5489, 21305, 52, 1008, 5, 5703, 4812, 17533, 11756, 5462, 11884, 58, 3776, 19484, 1067, 5356, 1062, 3071, 2053, 2321, 2606, 11840, 11670, 1009, 10482, 1054, 1387, 2130, 8605, 1009, 1535, 3993, 1027, 1009, 1338, 17016, 15629, 2982, 3726, 4824, 23218, 6445, 20785, 14506, 1207, 8524, 47, 30925, 13889, 4134, 2805, 4503, 29034, 2545, 13076, 8883, 22163, 4824, 2818, 6793, 40, 7270, 3107, 2428, 1062, 124, 56, 52, 43, 2428, 11078, 1052, 12933, 3979, 5581, 1467, 2838, 2189, 1271, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 1054, 20, 1460, 1035, 1917, 13634, 1049, 8653, 3517, 4334, 44, 1308, 7851, 17608, 1009, 8750, 8438, 1009, 7564, 1060, 4300, 7414, 1009, 19331, 5737, 22186, 1271, 2695, 1016, 1073, 29814, 1009, 22213, 1112, 1054, 1460, 1035, 1917, 13634, 1049, 8653, 3517, 4334, 22351, 1142, 1730, 89, 1226, 14413, 5751, 8750, 19936, 4152, 1, 2034, 3145, 19582, 18803, 5821, 1049, 1908, 2476, 1302, 13596, 1006, 7898, 1049, 2670, 1264, 2784, 14900, 9581, 11055, 50, 1349, 1009, 2225, 1130, 1026, 4813, 1049, 8605, 1006, 2924, 7102, 1054, 1235, 2671, 1533, 2204, 13776, 8430, 1140, 1357, 2373, 44, 1078, 1107, 4324, 1195, 22544, 1118, 9581, 1114, 3232, 2429, 9307, 15127, 1565, 2200, 18, 1072, 2268, 1160, 9704, 1006, 1428, 7102, 1026, 4813, 1049, 8605, 1976, 1178, 25398, 1533, 1228, 45, 58, 1318, 21345, 1026, 3745, 1732, 2373, 1040, 1310, 10540, 626, 1048, 1026, 2017, 17546, 4597, 1005, 4979, 1048, 2373, 1285, 94, 1014, 1054, 1094, 7102, 2072, 9080, 1159, 2122, 1096, 1094, 1871, 1009, 22074, 2289, 1026, 2464, 1213, 2729, 1009, 26245, 1195, 3330, 1054, 8389, 1009, 1094, 4263, 1184, 3579, 1126, 5580, 23797, 1043, 2011, 2349, 1091, 1005, 1853, 6894, 1009, 7562, 626, 4578, 1006, 11017, 40, 2663, 19377, 1187, 1067, 6199, 2746 ]

[ 21475, 1184, 7474, 1435, 3062, 1711, 1265, 1053, 1159, 2089, 1693, 1261, 31024, 1072, 2386, 2271, 2276, 2338, 7940, 1009, 21488, 6471, 1043, 13523, 1033, 1301, 80, 1544, 1005, 1826, 16446, 1402, 1043, 1004, 29349, 1005, 18124, 26093, 1213, 7074, 1068, 3689, 23248, 7109, 7135, 8473, 7509, 2277, 1531, 1009, 5608, 1273, 1006, 31505, 1225, 13306, 4031, 1048, 1826, 15637, 1166, 1054, 2125, 2019, 1347, 32, 3902, 1005, 8112, 3784, 14040, 1049, 1268, 73, 10547, 1005, 15680, 1009, 14387, 1072, 1215, 1320, 1100, 1068, 1048, 1006, 31080, 2002, 1382, 4172, 4848, 11598, 1006, 3444, 11196, 1049, 7538, 20, 5552, 18393, 1009, 4886, 1068, 9707, 8465, 1349, 1124, 5908, 13590, 5525, 1009, 6973, 1009, 5608, 1377, 2034, 4656, 7278, 1048, 2643, 2281, 8728, 1657, 1463, 4268, 1213, 5211, 1068, 10830, 1026, 3177, 1213, 8500, 4343, 4659, 1068, 13435, 1132, 1116, 19647, 12900, 2373, 23302, 1663, 1094, 5342, 14394, 1525, 1009, 1116, 19647, 6420, 1072, 6490, 2751, 4324, 1973, 2981, 3471, 20776, 20697, 1187, 26431, 1096, 1009, 1048, 1124, 28008, 6326, 20615, 1213, 2444, 1094, 15235, 7493, 2650, 1009, 21123, 17430, 1213, 7538, 7236, 2359, 1632, 1018, 1009, 12216, 1620, 19931, 1026, 5802, 1060, 20685, 3068, 9307, 20, 8106, 2088, 1620, 10427, 1046, 1068, 3291, 1058, 8897, 4845, 1068, 1569, 29375, 1734, 19931, 1043, 1006, 25141, 1048, 24330, 1030, 3678, 1005, 9120, 1068, 8268, 2459, 1063, 8451, 1140, 2611, 1925, 26547, 12762, 3694, 1487, 2525, 1048, 3396, 1072, 24010, 1049, 19938, 89, 1330, 3022, 3708, 1026, 9795, 16757, 1024, 1060, 8227, 1009, 6711, 1009, 15328, 3567, 1766, 8395, 1209, 1049, 1235, 12751, 8097, 1181, 6058, 1005, 1687, 25548, 5501, 1044, 19419, 1348, 17284, 1068, 1006, 8227, 1068, 3689, 31387, 3033, 1026, 7074, 20, 1063, 2573, 1195, 11109, 1236, 1118, 25141, 2271, 1026, 2738, 1049, 9593, 4475, 11014, 3323, 2528, 2611, 1925, 22550, 1124, 14867, 4435, 5010, 4490, 20711, 3512, 24465, 1182, 3947, 9930, 1289, 10006, 1044, 7994, 1810, 1072, 7939, 1068, 8268, 88, 1005, 1030, 3281, 2275, 1063, 2531, 4064, 1006, 18248, 1024, 6638, 1005, 8637, 1068, 1716, 1139, 10910, 1026, 25209, 2037, 1309, 1160, 1195, 21432, 5011, 1054, 2143, 9795, 5771, 5489, 1132, 8631, 1760, 1412, 3417, 1569, 7122, 1005, 7949, 1006, 18393, 1114, 2296, 1377, 2858, 13216, 1026, 17445, 6318, 4934, 17595, 1487, 2400, 1973, 1048, 1169, 2433, 15903, 1026, 25209, 2037, 3994, 1043, 1006, 16692, 1068, 1419, 1026, 1048, 1836, 10977, 20, 3423, 1060, 25141, 1054, 6711, 6318, 1318, 1096, 12403, 1009, 1094, 22336, 12075, 1009, 3349, 1068, 1026, 2386, 1049, 9593, 2037, 1048, 1195, 19787, 2309, 7797, 12111, 2373, 52, 1040, 1365, 79, 9215, 2246, 1160, 1323, 13728, 4537, 4236, 20, 2656, 5192, 1026, 2497, 1049, 19597, 5052, 1058, 1325, 2289, 25752, 1206, 1058, 1124, 3469, 1058, 8112, 1412, 4324, 1973, 19601, 8631, 1009, 21123, 23074, 8003, 1318, 8669, 1046, 1048, 1160, 1596, 7148, 1402, 1357, 8377, 16406, 5153, 1044, 1187, 3396, 12192, 1327, 2916, 1009, 30078, 6428, 20, 2373, 22082, 1026, 13866, 3074, 7474, 1435, 1043, 1006, 2348, 7391, 1005, 2125, 3978, 1072, 31449, 4115, 4614, 7474, 1435, 1114, 6586, 4324, 5649, 1026, 12490, 1924, 1509, 1014, 1263, 2915, 1270, 1930, 1422, 3211, 2200, 1919, 1048, 1132, 8631, 6639, 1044, 7659, 1068, 1048, 6326, 4125, 1124, 1072, 1041, 2223, 2373, 3885, 4803, 1068, 13505, 1100, 1160, 1225, 4034, 20, 1063, 8377, 2952, 1973, 1048, 3048, 3855, 1322, 22041, 8384, 23074, 22416, 1132, 25209, 4261, 1309, 1160, 6470, 1044, 16215, 1187, 8631, 4324, 4979, 4043, 1280, 2650, 1049, 9795, 18543, 1048, 1026, 13866, 2845, 1118, 2922, 1060, 1083, 11154, 1009, 6282, 1986, 1094, 16977, 1072, 12035, 2159, 3144, 5126, 22923, 1648, 1048, 1058, 1211, 1133, 1009, 1044, 3805, 5952, 1027, 1009, 9242, 1986, 1094, 9985, 1365, 1044, 1384, 3424, 4733, 1006, 10320, 1627, 5756, 7120, 1005, 25141, 1356, 25209, 4475, 5284, 1026, 7778, 1060, 8084, 30022, 4669, 1468, 27066, 1006, 2751, 14496, 1060, 6068, 20510, 1048, 20956, 1124, 11855, 1049, 9593, 2037, 1096, 1009, 1048, 1026, 7120, 3241, 28147, 1118, 1044, 7279, 25827, 1711, 71, 1521, 1160, 1058, 4337, 1058, 28761, 1009, 9242, 1206, 16977, 1009, 21721, 1009, 4018, 3320, 2858, 21286, 1195, 6888, 1072, 1101, 117, 31271, 4045, 1104, 6566, 2060, 1565, 5552, 6621, 1009, 9881, 20988, 1803, 11237, 16158, 1577, 1049, 675, 613, 41, 6691, 4134, 6806, 1026, 9795, 1836, 2373, 84, 2104, 4087, 2979, 1009, 28084, 22011, 8226, 2373, 2584, 3023, 21716, 1763, 1126, 2730, 9593, 2037, 1096, 1493, 23456, 1095, 1519, 1233, 5042, 1009, 5789, 20, 1603, 4800, 3754, 1048, 5756, 1094, 11636, 2027, 5450, 1096, 1048, 1026, 9795, 16757, 1079, 1322, 1264, 9027, 1160, 1322, 10157, 1554, 4858, 12476, 1006, 23444, 8261, 12474, 1026, 1048, 6409, 1261, 6675, 2647, 1195, 2444, 11166, 626, 4752, 1677, 1006, 15328, 2166, 1026, 13866, 9529, 1734, 21123, 1072, 31910, 1060, 5530, 4799, 1060, 27260, 20, 4333, 11530, 1006, 4482, 7612, 15982, 2048, 2569, 1224, 3023, 8751, 1339, 3567, 1138, 12901, 1096, 1006, 1944, 25138, 11604, 20146, 4038, 1153, 1925, 1060, 19688, 17916, 1054, 25665, 15882, 13877, 1307, 5861, 26431, 1566, 1666, 1412, 1114, 13917, 2271, 1026, 2738, 1049, 9593, 2037, 1043, 15681, 4494, 14325, 1766, 9449, 1060, 2618, 1009, 3349, 2643, 1072, 16291, 1044, 4288, 1009, 3902, 1005, 17662, 1054, 9040, 12164, 4875, 5010, 1766, 9449, 3925, 1046, 1048, 1026, 2011, 1009, 1268, 76, 1199, 4376, 1298, 20615, 1495, 1094, 15235, 1063, 9771, 31991, 13658, 14922, 4109, 1187, 675, 613, 23, 2704, 117, 17388, 1, 1138, 3517, 3064, 16869, 4015, 16828, 4235, 5046, 5414, 9905, 1006, 5405, 1009, 10963, 3068, 9307, 15714, 1005, 31012, 6992, 1009, 1048, 1026, 6907, 4465, 1060, 17614, 1068, 3319, 3867, 1233, 6462, 1009, 1101, 11, 2177, 5903, 2166, 11551, 1026, 4288, 1068, 24279, 1132, 7871, 1009, 14566, 1054, 3370, 2338, 21094, 1048, 13655, 1132, 10963, 1072, 1134, 1171, 1318, 12621, 8912, 1006, 25990, 4372, 6907, 1072, 4758, 1060, 5337, 1005, 1114, 6697, 1009, 5435, 1229, 29945, 1048, 1006, 4751, 1225, 1058, 8932, 1188, 1043, 8282, 1499, 7733, 1005, 15383, 1049, 3099, 1009, 6730, 1054, 19249, 2643, 2281, 8068, 1054, 3952, 9701, 4964, 14627, 1213, 1852, 1187, 1791, 2250, 1009, 12100, 1009, 3568, 17671, 5954, 1026, 1134, 1171, 9704, 1048, 1006, 17614, 6809, 2109, 1068, 4236, 8, 1009, 1224, 6462, 1005, 1048, 22775, 2224, 3952, 1687, 1976, 3659, 4236, 1049, 3489, 1049, 11844, 1009, 1101, 11, 1072, 6571, 5633, 8, 1845, 4497, 1049, 1134, 1171, 1009, 3647, 1006, 5405, 1009, 14566, 1114, 6116, 1365, 3646, 7089, 1005, 3646, 5515, 11, 1195, 1821, 1948, 18291, 1766, 12245, 1566, 7444, 11892, 1069, 2143, 4465, 5645, 29632, 1846, 1048, 1026, 1134, 1171, 3011, 1079, 1132, 10963, 1054, 3261, 1845, 6992, 1049, 1134, 1171, 1072, 6490, 10293, 1318, 1195, 5255, 1140, 1118, 1224, 18607, 1009, 1048, 1026, 6573, 1054, 10138, 6189, 1010, 1271, 3235, 6895, 17770, 12248, 20, 2200, 13236, 1048, 1132, 8971, 1068, 1124, 18674, 10369, 12209, 13385, 6029, 4710, 5231, 3388, 1006, 1150, 88, 7637, 1072, 9327, 5633, 30738, 2670, 1049, 1134, 16828, 7229, 2576, 20271, 11045, 1225, 3315, 1069, 1048, 1026, 4235, 5046, 5608, 1945, 1094, 12831, 24564, 1236, 1054, 2869, 1233, 3568, 17671, 5954, 2199, 1157, 1006, 24279, 20689, 1132, 10963, 5615, 1009, 1094, 5337, 19469, 71, 1048, 1620, 1160, 19538, 1079, 1006, 12229, 3803, 7805, 1858, 24034, 1114, 9560, 17156, 1048, 1006, 3596, 1187, 6022, 1325, 2364, 15674, 1114, 6462, 1009, 1101, 11, 1049, 1134, 1171, 1986, 1646, 4331, 3960, 3489, 1845, 4375, 1009, 17614, 7893, 1236, 1049, 1134, 1171, 14146, 3646, 18231, 1294, 2224, 3952, 1495, 12360, 1712, 4465, 2271, 3403, 1009, 7123, 1846, 1009, 13182, 3646, 19599, 1072, 1901, 1495, 15100, 9704, 1026, 7414, 1049, 13016, 1845, 5009, 1436, 1049, 1134, 1171, 2540, 4433, 1006, 3596, 1005, 5255, 1412, 1048, 1006, 6462, 1009, 1101, 11, 1160, 1096, 1044, 24930, 27686, 4235, 5046, 13320, 5474, 1184, 1791, 2395, 1361, 1187, 10963, 3057, 4183, 3702, 2285, 11184, 1009, 7129, 9637, 2125, 1159, 17913, 10250, 3703, 23009, 29948, 7016, 3596, 1187, 10963, 1114, 4958, 6127, 1049, 1134, 16828, 1054, 2224, 1005, 2523, 1009, 3370, 2338, 8282, 1009, 10892, 1009, 10963, 8362, 20420, 2271, 1048, 1026, 1134, 1171, 7717, 1026, 8566, 1009, 1168, 2139, 17671, 1304, 1054, 3049, 1009, 15573, 2200, 92, 1079, 1132, 10963, 1094, 1472, 1054, 6747, 1309, 1026, 2521, 2089, 2125, 2624, 1072, 1901, 4995, 1054, 2191, 1213, 23458, 1060, 5337, 1005, 1049, 3099, 1009, 2011, 19239, 1026, 4758, 10293, 3241, 25990, 7733, 1068, 5405, 1210, 91, 10686, 1009, 4662, 13201, 1072, 1831, 12375, 26198, 1044, 3041, 1048, 1294, 4679, 1646, 7734, 8509, 1009, 1178, 1184, 26361, 1005, 1132, 13002, 6583, 31613, 10230, 1188, 1054, 12360, 1006, 12106, 1096, 1009, 28806, 1294, 7024, 3952, 5565, 1140, 1054, 1751, 2309, 13474, 10773, 1480, 1005, 26438, 12881, 1060, 6496, 1049, 2670, 1187, 11333, 14902, 12656, 2338, 14627, 1049, 1134, 1171, 1160, 26548, 1132, 8971, 18998, 14579, 2691, 22950, 7958, 1365, 1132, 4620, 1005, 1734, 13705, 9479, 1006, 24204, 1082, 3288, 1049, 1134, 1171, 1566, 3326, 1412, 1322, 1026, 4957, 5802, 1915, 9086, 1309, 12524, 1412, 1006, 12831, 1009, 9212, 1068, 1419, 20, 1, 1063, 4482, 7290, 7902, 1049, 30388, 1187, 29074, 1073, 1829, 1229, 1072, 26690, 1049, 19938, 89, 1330, 3022, 25548, 11853, 1124, 8434, 1114, 5096, 2429, 9307, 8387, 1565, 2656, 2284, 1184, 3182, 1068, 1090, 6716, 1124, 20002, 1009, 30638, 6648, 1005, 3195, 1009, 22211, 1048, 6706, 2271, 1026, 1531, 11535, 20137, 1679, 8631, 1049, 7538, 7236, 2359, 1632, 1018, 1009, 26798, 1048, 16757, 1079, 1114, 18393, 2429, 6282, 2149, 117, 1565, 1063, 4067, 1060, 4482, 1325, 10567, 1118, 5418, 1010, 1043, 29896, 8637, 1005, 29528, 27661, 150, 1103, 1377, 4685, 1837, 1008, 4851, 1009, 20002, 2617, 3569, 1463, 9136, 2070, 1728, 1063, 6661, 1096, 5483, 1620, 1159, 2068, 1271, 5908, 1009, 3227, 1048, 18912, 1072, 11344, 25246, 1303, 1845, 1476, 1105, 1452, 3732, 1060, 8592, 4352, 1046, 1048, 1006, 2779, 7009, 20002, 1114, 4934, 20180, 20, 4333, 1132, 5942, 1184, 12070, 1826, 3195, 1009, 22211, 23208, 8463, 2130, 3732, 3361, 2585, 1159, 1006, 16282, 51, 18987, 1563, 1187, 8463, 2130, 1009, 7493, 9299, 15, 1005, 1006, 1062, 10853, 2663, 19377, 1187, 8463, 2130, 6745, 3613, 15, 3510, 1412, 1094, 1395, 1694, 1054, 3349, 1233, 6661, 1068, 12228, 1124, 20002, 20, 5126, 1318, 30124, 1048, 1049, 1544, 1808, 1040, 2384, 2130, 1054, 1734, 5849, 8554, 1159, 1026, 3182, 6932, 1062, 1020, 30342, 1072, 3745, 1019, 2483, 3483, 1209, 1667, 2494, 4825, 1126, 1132, 4440, 3510, 1412, 1094, 8670, 2229, 23797, 1159, 15402, 10505, 1054, 8839, 1121, 1049, 20905, 4233, 20, 1138, 4367, 1195, 10513, 1599, 1072, 2268, 2246, 1026, 3805, 5952, 1027, 1009, 9242, 1195, 6989, 2270, 4501, 1261, 1159, 15723, 1930, 30124, 20002, 1009, 23543, 1018, 1206, 9272, 6118, 1377, 4116, 2729, 1060, 16451, 13329, 1009, 1783, 1596, 1213, 2386, 3417, 1049, 6481, 2271, 4440, 1009, 6661, 1005, 6296, 1495, 1049, 1544, 10010, 20, 7766, 1132, 26431, 1048, 18912, 1072, 6942, 1213, 13866, 10979, 3629, 1009, 1044, 2417, 1009, 5162, 1049, 25587, 1009, 23477, 1627, 1048, 4715, 10413, 16194, 1005, 12623, 1068, 10760, 1026, 2011, 1271, 1867, 2223, 31612, 1792, 6289, 12190, 1710, 12865, 1043, 8637, 1048, 2257, 1054, 2573, 1005, 1160, 1274, 7052, 4115, 4614, 28770, 1005, 1503, 3002, 3371, 4324, 1919, 1026, 16596, 1291, 6318, 26798, 1422, 1999, 2858, 2417, 1009, 2125, 6900, 1195, 4480, 30638, 18395, 1243, 1005, 18933, 2106, 1309, 21020, 1043, 1124, 1049, 6481, 1915, 1312, 1118, 3356, 1452, 18014, 2373, 23302, 4480, 1068, 1006, 4317, 2485, 1571, 1826, 14908, 16658, 9613, 1005, 22505, 1006, 1756, 3890, 1962, 1006, 4934, 20180, 4324, 1973, 1094, 2844, 1728, 5445, 8631, 9344, 1048, 6510, 1009, 2289, 32, 1009, 10604, 1458, 1006, 1044, 16581, 1048, 6326, 2071, 14503, 150, 31001, 18177, 1114, 1962, 2731, 1309, 15442, 27831, 1068, 1132, 1048, 7084, 16007, 1046, 1565, 1972, 31131, 4285, 1229, 1048, 18904, 1072, 9795, 2284, 3179, 5492, 2864, 1006, 4716, 1096, 2924, 32, 2373, 1036, 24930, 1667, 2858, 8292, 7895, 2858, 2269, 1068, 17925, 626, 4043, 1280, 2650, 1049, 9795, 1048, 16757, 1079, 18543, 1048, 1026, 13866, 2845, 1118, 2922, 1060, 1083, 11154, 1009, 6282, 1986, 1094, 16977, 1072, 12035, 2159, 3144, 5126, 22923, 1648, 1048, 1058, 1211, 1133, 1009, 1044, 3805, 5952, 1027, 1009, 9242, 1986, 1094, 9985, 1365, 1044, 1384, 3424, 4733, 1006, 10320, 1627, 5756, 7120, 1005, 25141, 1356, 25209, 4475, 5284, 1026, 7778, 1060, 8084, 30022, 4669, 1468, 27066, 1006, 2751, 14496, 1060, 6068, 20510, 1048, 20956, 1124, 11855, 1049, 9593, 2037, 1096, 1009, 1048, 1026, 7120, 3241, 28147, 1118, 1044, 7279, 25827, 1711, 71 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21475, 1184, 7474, 1435, 3062, 1711, 1265, 1053, 1159, 2089, 1693, 1261, 31024, 1072, 2386, 2271, 2276, 2338, 7940, 1009, 21488, 6471, 1043, 13523, 1033, 1301, 80, 1544, 1005, 1826, 16446, 1402, 1043, 1004, 29349, 1005, 18124, 26093, 1213, 7074, 1068, 3689, 23248, 7109, 7135, 8473, 7509, 2277, 1531, 1009, 5608, 1273, 1006, 31505, 1225, 13306, 4031, 1048, 1826, 15637, 1166, 1054, 2125, 2019, 1347, 32, 3902, 1005, 8112, 3784, 14040, 1049, 1268, 73, 10547, 1005, 15680, 1009, 14387, 1072, 1215, 1320, 1100, 1068, 1048, 1006, 31080, 2002, 1382, 4172, 4848, 11598, 1006, 3444, 11196, 1049, 7538, 20, 5552, 18393, 1009, 4886, 1068, 9707, 8465, 1349, 1124, 5908, 13590, 5525, 1009, 6973, 1009, 5608, 1377, 2034, 4656, 7278, 1048, 2643, 2281, 8728, 1657, 1463, 4268, 1213, 5211, 1068, 10830, 1026, 3177, 1213, 8500, 4343, 4659, 1068, 13435, 1132, 1116, 19647, 12900, 2373, 23302, 1663, 1094, 5342, 14394, 1525, 1009, 1116, 19647, 6420, 1072, 6490, 2751, 4324, 1973, 2981, 3471, 20776, 20697, 1187, 26431, 1096, 1009, 1048, 1124, 28008, 6326, 20615, 1213, 2444, 1094, 15235, 7493, 2650, 1009, 21123, 17430, 1213, 7538, 7236, 2359, 1632, 1018, 1009, 12216, 1620, 19931, 1026, 5802, 1060, 20685, 3068, 9307, 20, 8106, 2088, 1620, 10427, 1046, 1068, 3291, 1058, 8897, 4845, 1068, 1569, 29375, 1734, 19931, 1043, 1006, 25141, 1048, 24330, 1030, 3678, 1005, 9120, 1068, 8268, 2459, 1063, 8451, 1140, 2611, 1925, 26547, 12762, 3694, 1487, 2525, 1048, 3396, 1072, 24010, 1049, 19938, 89, 1330, 3022, 3708, 1026, 9795, 16757, 1024, 1060, 8227, 1009, 6711, 1009, 15328, 3567, 1766, 8395, 1209, 1049, 1235, 12751, 8097, 1181, 6058, 1005, 1687, 25548, 5501, 1044, 19419, 1348, 17284, 1068, 1006, 8227, 1068, 3689, 31387, 3033, 1026, 7074, 20, 1063, 2573, 1195, 11109, 1236, 1118, 25141, 2271, 1026, 2738, 1049, 9593, 4475, 11014, 3323, 2528, 2611, 1925, 22550, 1124, 14867, 4435, 5010, 4490, 20711, 3512, 24465, 1182, 3947, 9930, 1289, 10006, 1044, 7994, 1810, 1072, 7939, 1068, 8268, 88, 1005, 1030, 3281, 2275, 1063, 2531, 4064, 1006, 18248, 1024, 6638, 1005, 8637, 1068, 1716, 1139, 10910, 1026, 25209, 2037, 1309, 1160, 1195, 21432, 5011, 1054, 2143, 9795, 5771, 5489, 1132, 8631, 1760, 1412, 3417, 1569, 7122, 1005, 7949, 1006, 18393, 1114, 2296, 1377, 2858, 13216, 1026, 17445, 6318, 4934, 17595, 1487, 2400, 1973, 1048, 1169, 2433, 15903, 1026, 25209, 2037, 3994, 1043, 1006, 16692, 1068, 1419, 1026, 1048, 1836, 10977, 20, 3423, 1060, 25141, 1054, 6711, 6318, 1318, 1096, 12403, 1009, 1094, 22336, 12075, 1009, 3349, 1068, 1026, 2386, 1049, 9593, 2037, 1048, 1195, 19787, 2309, 7797, 12111, 2373, 52, 1040, 1365, 79, 9215, 2246, 1160, 1323, 13728, 4537, 4236, 20, 2656, 5192, 1026, 2497, 1049, 19597, 5052, 1058, 1325, 2289, 25752, 1206, 1058, 1124, 3469, 1058, 8112, 1412, 4324, 1973, 19601, 8631, 1009, 21123, 23074, 8003, 1318, 8669, 1046, 1048, 1160, 1596, 7148, 1402, 1357, 8377, 16406, 5153, 1044, 1187, 3396, 12192, 1327, 2916, 1009, 30078, 6428, 20, 2373, 22082, 1026, 13866, 3074, 7474, 1435, 1043, 1006, 2348, 7391, 1005, 2125, 3978, 1072, 31449, 4115, 4614, 7474, 1435, 1114, 6586, 4324, 5649, 1026, 12490, 1924, 1509, 1014, 1263, 2915, 1270, 1930, 1422, 3211, 2200, 1919, 1048, 1132, 8631, 6639, 1044, 7659, 1068, 1048, 6326, 4125, 1124, 1072, 1041, 2223, 2373, 3885, 4803, 1068, 13505, 1100, 1160, 1225, 4034, 20, 1063, 8377, 2952, 1973, 1048, 3048, 3855, 1322, 22041, 8384, 23074, 22416, 1132, 25209, 4261, 1309, 1160, 6470, 1044, 16215, 1187, 8631, 4324, 4979, 4043, 1280, 2650, 1049, 9795, 18543, 1048, 1026, 13866, 2845, 1118, 2922, 1060, 1083, 11154, 1009, 6282, 1986, 1094, 16977, 1072, 12035, 2159, 3144, 5126, 22923, 1648, 1048, 1058, 1211, 1133, 1009, 1044, 3805, 5952, 1027, 1009, 9242, 1986, 1094, 9985, 1365, 1044, 1384, 3424, 4733, 1006, 10320, 1627, 5756, 7120, 1005, 25141, 1356, 25209, 4475, 5284, 1026, 7778, 1060, 8084, 30022, 4669, 1468, 27066, 1006, 2751, 14496, 1060, 6068, 20510, 1048, 20956, 1124, 11855, 1049, 9593, 2037, 1096, 1009, 1048, 1026, 7120, 3241, 28147, 1118, 1044, 7279, 25827, 1711, 71, 1521, 1160, 1058, 4337, 1058, 28761, 1009, 9242, 1206, 16977, 1009, 21721, 1009, 4018, 3320, 2858, 21286, 1195, 6888, 1072, 1101, 117, 31271, 4045, 1104, 6566, 2060, 1565, 5552, 6621, 1009, 9881, 20988, 1803, 11237, 16158, 1577, 1049, 675, 613, 41, 6691, 4134, 6806, 1026, 9795, 1836, 2373, 84, 2104, 4087, 2979, 1009, 28084, 22011, 8226, 2373, 2584, 3023, 21716, 1763, 1126, 2730, 9593, 2037, 1096, 1493, 23456, 1095, 1519, 1233, 5042, 1009, 5789, 20, 1603, 4800, 3754, 1048, 5756, 1094, 11636, 2027, 5450, 1096, 1048, 1026, 9795, 16757, 1079, 1322, 1264, 9027, 1160, 1322, 10157, 1554, 4858, 12476, 1006, 23444, 8261, 12474, 1026, 1048, 6409, 1261, 6675, 2647, 1195, 2444, 11166, 626, 4752, 1677, 1006, 15328, 2166, 1026, 13866, 9529, 1734, 21123, 1072, 31910, 1060, 5530, 4799, 1060, 27260, 20, 4333, 11530, 1006, 4482, 7612, 15982, 2048, 2569, 1224, 3023, 8751, 1339, 3567, 1138, 12901, 1096, 1006, 1944, 25138, 11604, 20146, 4038, 1153, 1925, 1060, 19688, 17916, 1054, 25665, 15882, 13877, 1307, 5861, 26431, 1566, 1666, 1412, 1114, 13917, 2271, 1026, 2738, 1049, 9593, 2037, 1043, 15681, 4494, 14325, 1766, 9449, 1060, 2618, 1009, 3349, 2643, 1072, 16291, 1044, 4288, 1009, 3902, 1005, 17662, 1054, 9040, 12164, 4875, 5010, 1766, 9449, 3925, 1046, 1048, 1026, 2011, 1009, 1268, 76, 1199, 4376, 1298, 20615, 1495, 1094, 15235, 1063, 9771, 31991, 13658, 14922, 4109, 1187, 675, 613, 23, 2704, 117, 17388, 1, 1138, 3517, 3064, 16869, 4015, 16828, 4235, 5046, 5414, 9905, 1006, 5405, 1009, 10963, 3068, 9307, 15714, 1005, 31012, 6992, 1009, 1048, 1026, 6907, 4465, 1060, 17614, 1068, 3319, 3867, 1233, 6462, 1009, 1101, 11, 2177, 5903, 2166, 11551, 1026, 4288, 1068, 24279, 1132, 7871, 1009, 14566, 1054, 3370, 2338, 21094, 1048, 13655, 1132, 10963, 1072, 1134, 1171, 1318, 12621, 8912, 1006, 25990, 4372, 6907, 1072, 4758, 1060, 5337, 1005, 1114, 6697, 1009, 5435, 1229, 29945, 1048, 1006, 4751, 1225, 1058, 8932, 1188, 1043, 8282, 1499, 7733, 1005, 15383, 1049, 3099, 1009, 6730, 1054, 19249, 2643, 2281, 8068, 1054, 3952, 9701, 4964, 14627, 1213, 1852, 1187, 1791, 2250, 1009, 12100, 1009, 3568, 17671, 5954, 1026, 1134, 1171, 9704, 1048, 1006, 17614, 6809, 2109, 1068, 4236, 8, 1009, 1224, 6462, 1005, 1048, 22775, 2224, 3952, 1687, 1976, 3659, 4236, 1049, 3489, 1049, 11844, 1009, 1101, 11, 1072, 6571, 5633, 8, 1845, 4497, 1049, 1134, 1171, 1009, 3647, 1006, 5405, 1009, 14566, 1114, 6116, 1365, 3646, 7089, 1005, 3646, 5515, 11, 1195, 1821, 1948, 18291, 1766, 12245, 1566, 7444, 11892, 1069, 2143, 4465, 5645, 29632, 1846, 1048, 1026, 1134, 1171, 3011, 1079, 1132, 10963, 1054, 3261, 1845, 6992, 1049, 1134, 1171, 1072, 6490, 10293, 1318, 1195, 5255, 1140, 1118, 1224, 18607, 1009, 1048, 1026, 6573, 1054, 10138, 6189, 1010, 1271, 3235, 6895, 17770, 12248, 20, 2200, 13236, 1048, 1132, 8971, 1068, 1124, 18674, 10369, 12209, 13385, 6029, 4710, 5231, 3388, 1006, 1150, 88, 7637, 1072, 9327, 5633, 30738, 2670, 1049, 1134, 16828, 7229, 2576, 20271, 11045, 1225, 3315, 1069, 1048, 1026, 4235, 5046, 5608, 1945, 1094, 12831, 24564, 1236, 1054, 2869, 1233, 3568, 17671, 5954, 2199, 1157, 1006, 24279, 20689, 1132, 10963, 5615, 1009, 1094, 5337, 19469, 71, 1048, 1620, 1160, 19538, 1079, 1006, 12229, 3803, 7805, 1858, 24034, 1114, 9560, 17156, 1048, 1006, 3596, 1187, 6022, 1325, 2364, 15674, 1114, 6462, 1009, 1101, 11, 1049, 1134, 1171, 1986, 1646, 4331, 3960, 3489, 1845, 4375, 1009, 17614, 7893, 1236, 1049, 1134, 1171, 14146, 3646, 18231, 1294, 2224, 3952, 1495, 12360, 1712, 4465, 2271, 3403, 1009, 7123, 1846, 1009, 13182, 3646, 19599, 1072, 1901, 1495, 15100, 9704, 1026, 7414, 1049, 13016, 1845, 5009, 1436, 1049, 1134, 1171, 2540, 4433, 1006, 3596, 1005, 5255, 1412, 1048, 1006, 6462, 1009, 1101, 11, 1160, 1096, 1044, 24930, 27686, 4235, 5046, 13320, 5474, 1184, 1791, 2395, 1361, 1187, 10963, 3057, 4183, 3702, 2285, 11184, 1009, 7129, 9637, 2125, 1159, 17913, 10250, 3703, 23009, 29948, 7016, 3596, 1187, 10963, 1114, 4958, 6127, 1049, 1134, 16828, 1054, 2224, 1005, 2523, 1009, 3370, 2338, 8282, 1009, 10892, 1009, 10963, 8362, 20420, 2271, 1048, 1026, 1134, 1171, 7717, 1026, 8566, 1009, 1168, 2139, 17671, 1304, 1054, 3049, 1009, 15573, 2200, 92, 1079, 1132, 10963, 1094, 1472, 1054, 6747, 1309, 1026, 2521, 2089, 2125, 2624, 1072, 1901, 4995, 1054, 2191, 1213, 23458, 1060, 5337, 1005, 1049, 3099, 1009, 2011, 19239, 1026, 4758, 10293, 3241, 25990, 7733, 1068, 5405, 1210, 91, 10686, 1009, 4662, 13201, 1072, 1831, 12375, 26198, 1044, 3041, 1048, 1294, 4679, 1646, 7734, 8509, 1009, 1178, 1184, 26361, 1005, 1132, 13002, 6583, 31613, 10230, 1188, 1054, 12360, 1006, 12106, 1096, 1009, 28806, 1294, 7024, 3952, 5565, 1140, 1054, 1751, 2309, 13474, 10773, 1480, 1005, 26438, 12881, 1060, 6496, 1049, 2670, 1187, 11333, 14902, 12656, 2338, 14627, 1049, 1134, 1171, 1160, 26548, 1132, 8971, 18998, 14579, 2691, 22950, 7958, 1365, 1132, 4620, 1005, 1734, 13705, 9479, 1006, 24204, 1082, 3288, 1049, 1134, 1171, 1566, 3326, 1412, 1322, 1026, 4957, 5802, 1915, 9086, 1309, 12524, 1412, 1006, 12831, 1009, 9212, 1068, 1419, 20, 1, 1063, 4482, 7290, 7902, 1049, 30388, 1187, 29074, 1073, 1829, 1229, 1072, 26690, 1049, 19938, 89, 1330, 3022, 25548, 11853, 1124, 8434, 1114, 5096, 2429, 9307, 8387, 1565, 2656, 2284, 1184, 3182, 1068, 1090, 6716, 1124, 20002, 1009, 30638, 6648, 1005, 3195, 1009, 22211, 1048, 6706, 2271, 1026, 1531, 11535, 20137, 1679, 8631, 1049, 7538, 7236, 2359, 1632, 1018, 1009, 26798, 1048, 16757, 1079, 1114, 18393, 2429, 6282, 2149, 117, 1565, 1063, 4067, 1060, 4482, 1325, 10567, 1118, 5418, 1010, 1043, 29896, 8637, 1005, 29528, 27661, 150, 1103, 1377, 4685, 1837, 1008, 4851, 1009, 20002, 2617, 3569, 1463, 9136, 2070, 1728, 1063, 6661, 1096, 5483, 1620, 1159, 2068, 1271, 5908, 1009, 3227, 1048, 18912, 1072, 11344, 25246, 1303, 1845, 1476, 1105, 1452, 3732, 1060, 8592, 4352, 1046, 1048, 1006, 2779, 7009, 20002, 1114, 4934, 20180, 20, 4333, 1132, 5942, 1184, 12070, 1826, 3195, 1009, 22211, 23208, 8463, 2130, 3732, 3361, 2585, 1159, 1006, 16282, 51, 18987, 1563, 1187, 8463, 2130, 1009, 7493, 9299, 15, 1005, 1006, 1062, 10853, 2663, 19377, 1187, 8463, 2130, 6745, 3613, 15, 3510, 1412, 1094, 1395, 1694, 1054, 3349, 1233, 6661, 1068, 12228, 1124, 20002, 20, 5126, 1318, 30124, 1048, 1049, 1544, 1808, 1040, 2384, 2130, 1054, 1734, 5849, 8554, 1159, 1026, 3182, 6932, 1062, 1020, 30342, 1072, 3745, 1019, 2483, 3483, 1209, 1667, 2494, 4825, 1126, 1132, 4440, 3510, 1412, 1094, 8670, 2229, 23797, 1159, 15402, 10505, 1054, 8839, 1121, 1049, 20905, 4233, 20, 1138, 4367, 1195, 10513, 1599, 1072, 2268, 2246, 1026, 3805, 5952, 1027, 1009, 9242, 1195, 6989, 2270, 4501, 1261, 1159, 15723, 1930, 30124, 20002, 1009, 23543, 1018, 1206, 9272, 6118, 1377, 4116, 2729, 1060, 16451, 13329, 1009, 1783, 1596, 1213, 2386, 3417, 1049, 6481, 2271, 4440, 1009, 6661, 1005, 6296, 1495, 1049, 1544, 10010, 20, 7766, 1132, 26431, 1048, 18912, 1072, 6942, 1213, 13866, 10979, 3629, 1009, 1044, 2417, 1009, 5162, 1049, 25587, 1009, 23477, 1627, 1048, 4715, 10413, 16194, 1005, 12623, 1068, 10760, 1026, 2011, 1271, 1867, 2223, 31612, 1792, 6289, 12190, 1710, 12865, 1043, 8637, 1048, 2257, 1054, 2573, 1005, 1160, 1274, 7052, 4115, 4614, 28770, 1005, 1503, 3002, 3371, 4324, 1919, 1026, 16596, 1291, 6318, 26798, 1422, 1999, 2858, 2417, 1009, 2125, 6900, 1195, 4480, 30638, 18395, 1243, 1005, 18933, 2106, 1309, 21020, 1043, 1124, 1049, 6481, 1915, 1312, 1118, 3356, 1452, 18014, 2373, 23302, 4480, 1068, 1006, 4317, 2485, 1571, 1826, 14908, 16658, 9613, 1005, 22505, 1006, 1756, 3890, 1962, 1006, 4934, 20180, 4324, 1973, 1094, 2844, 1728, 5445, 8631, 9344, 1048, 6510, 1009, 2289, 32, 1009, 10604, 1458, 1006, 1044, 16581, 1048, 6326, 2071, 14503, 150, 31001, 18177, 1114, 1962, 2731, 1309, 15442, 27831, 1068, 1132, 1048, 7084, 16007, 1046, 1565, 1972, 31131, 4285, 1229, 1048, 18904, 1072, 9795, 2284, 3179, 5492, 2864, 1006, 4716, 1096, 2924, 32, 2373, 1036, 24930, 1667, 2858, 8292, 7895, 2858, 2269, 1068, 17925, 626, 4043, 1280, 2650, 1049, 9795, 1048, 16757, 1079, 18543, 1048, 1026, 13866, 2845, 1118, 2922, 1060, 1083, 11154, 1009, 6282, 1986, 1094, 16977, 1072, 12035, 2159, 3144, 5126, 22923, 1648, 1048, 1058, 1211, 1133, 1009, 1044, 3805, 5952, 1027, 1009, 9242, 1986, 1094, 9985, 1365, 1044, 1384, 3424, 4733, 1006, 10320, 1627, 5756, 7120, 1005, 25141, 1356, 25209, 4475, 5284, 1026, 7778, 1060, 8084, 30022, 4669, 1468, 27066, 1006, 2751, 14496, 1060, 6068, 20510, 1048, 20956, 1124, 11855, 1049, 9593, 2037, 1096, 1009, 1048, 1026, 7120, 3241, 28147, 1118, 1044, 7279, 25827, 1711, 71 ]

[ 1086, 1019, 2640, 1206, 16756, 2340, 1616, 1298, 19519, 1024, 1569, 20599, 1006, 2729, 25926, 1257, 1257, 1205, 2148, 1044, 3239, 1009, 1834, 1033, 1237, 2680, 6865, 19474, 1126, 9993, 1005, 8718, 7055, 20, 2773, 1435, 6546, 1004, 3589, 1299, 1298, 16410, 15068, 6233, 1026, 12511, 10268, 1005, 6313, 3600, 1076, 13994, 2453, 1009, 1456, 1025, 1089, 1554, 1142, 24911, 1009, 20800, 1569, 2173, 19513, 4883, 1043, 7931, 1005, 7508, 7320, 1009, 16410, 3453, 1054, 2252, 1124, 3905, 1009, 1224, 8150, 1, 4954, 159, 1006, 4380, 32, 1063, 3130, 3314, 169, 1009, 1675, 4722, 1009, 4464, 1298, 1054, 7189, 1058, 4531, 1026, 1853, 5399, 1068, 1783, 9343, 1016, 1638, 1041, 10158, 1159, 1132, 12434, 21044, 1826, 3748, 1026, 1015, 6986, 1852, 1054, 4188, 1213, 1235, 4711, 1009, 11257, 1973, 1044, 20238, 22922, 1322, 1026, 2743, 20202, 1072, 4802, 2270, 15888, 1508, 7187, 1068, 11140, 1124, 5502, 6553, 1016, 1005, 7320, 1009, 6233, 1026, 6072, 1294, 3913, 15906, 1068, 1044, 4711, 1009, 3099, 12562, 1049, 20202, 1054, 1791, 1006, 2125, 1646, 1406, 1973, 13993, 11023, 1174, 4189, 18, 1044, 4798, 1049, 15163, 2200, 1973, 1048, 1006, 2759, 14317, 6233, 1026, 6072, 1068, 1048, 1026, 20202, 4172, 1261, 1044, 4410, 1009, 2595, 6435, 1006, 1487, 16112, 3504, 18006, 1678, 1026, 1048, 1976, 1178, 1044, 4410, 14343, 1068, 1006, 3364, 1271, 6428, 1184, 12219, 73, 1580, 1060, 24204, 1138, 20202, 1195, 8744, 1043, 1124, 5502, 1009, 8290, 23417, 3245, 1585, 4261, 22134, 2040, 1009, 22684, 1149, 1054, 2535, 1009, 28761, 1009, 3111, 1206, 1086, 7588, 9800, 1009, 5641, 1206, 4601, 1009, 4449, 2328, 1009, 19953, 1305, 1033, 2037, 1005, 1495, 1592, 18558, 1094, 2423, 1206, 16437, 21735, 1068, 1365, 1363, 1456, 10095, 4846, 13993, 1973, 1048, 1026, 20202, 18, 8744, 1009, 1871, 8636, 1114, 12661, 1225, 4639, 1072, 1592, 3319, 1048, 5224, 1054, 27362, 14559, 5048, 1063, 5310, 2845, 1006, 3780, 1049, 20202, 1054, 8683, 1511, 1195, 6344, 1140, 1159, 1044, 2743, 15568, 18047, 2013, 5869, 1118, 10591, 1049, 18837, 1063, 5310, 1225, 1006, 1712, 2779, 9343, 71, 1049, 5108, 1043, 28997, 2744, 1009, 1783, 1043, 1184, 1009, 5251, 2864, 14780, 2224, 1118, 13707, 1009, 1224, 2779, 3225, 20, 1551, 2303, 1043, 1094, 3780, 1049, 4813, 1187, 23809, 22432, 2255, 1184, 1009, 1782, 2744, 1009, 10500, 1544, 1005, 10809, 1689, 1327, 7979, 1068, 7304, 1006, 2779, 9343, 1126, 1159, 1006, 3364, 1187, 16699, 21044, 26028, 6313, 1569, 10034, 8451, 1312, 1054, 10007, 5344, 1187, 4496, 1096, 4556, 1009, 2303, 1043, 1006, 7530, 37, 1063, 15, 1766, 10500, 1544, 1009, 26679, 10181, 1027, 1072, 3099, 1054, 1101, 1206, 1307, 4844, 1106, 15, 1766, 10500, 1544, 1009, 26679, 1693, 3371, 1132, 16699, 1006, 1663, 20984, 1062, 15, 1138, 20202, 3135, 1009, 3473, 4639, 1009, 27362, 14559, 5048, 1119, 15, 13803, 1371, 1048, 1026, 20202, 2374, 21506, 1118, 2252, 1124, 9913, 1257, 1063, 3484, 12638, 8, 3133, 7472, 8239, 1009, 2303, 1043, 1006, 7530, 1096, 1063, 15, 1766, 10500, 1544, 1009, 26679, 10181, 1027, 1072, 3099, 1054, 1101, 1206, 1307, 4844, 1138, 2859, 19067, 1048, 1132, 12434, 21044, 1826, 3748, 1132, 3913, 15906, 9107, 1068, 1026, 4711, 1049, 20202, 1054, 1791, 1006, 2125, 4844, 1138, 20202, 1096, 13535, 1068, 3371, 1783, 9343, 1016, 1043, 8823, 1159, 8290, 6648, 1005, 3245, 1585, 4261, 5846, 1024, 22134, 2040, 1005, 3823, 13109, 15277, 1138, 2859, 1318, 19067, 1048, 1026, 20202, 1195, 8744, 1009, 1871, 8636, 1114, 5310, 1005, 1225, 4639, 1072, 1592, 3319, 1048, 5224, 1054, 27362, 14559, 5048, 1776, 2268, 1160, 1837, 4697, 20026, 1009, 1048, 1026, 20202, 1298, 1663, 2289, 1206, 1048, 1058, 2540, 1048, 2374, 21506, 1118, 1752, 20506, 1, 17184, 1917, 3351, 3823, 1094, 2919, 1009, 4447, 1016, 1009, 8040, 15568, 1049, 9180, 1009, 26588, 4124, 1006, 2323, 1060, 7530, 1004, 3567, 1257, 26588, 4124, 1096, 1044, 2666, 1009, 25886, 1236, 1005, 5095, 20772, 1365, 2156, 5908, 1009, 18869, 4731, 1054, 1044, 3428, 1072, 3709, 1049, 1428, 1096, 1044, 3428, 1009, 3295, 23610, 6323, 4722, 15, 1043, 1044, 2020, 29503, 1054, 1752, 5533, 2485, 1752, 1044, 4360, 29203, 2156, 1033, 30233, 12209, 3569, 1054, 2125, 4551, 1554, 2034, 7756, 1394, 19728, 1009, 25886, 1580, 17772, 1006, 5095, 1054, 2712, 25610, 1054, 1044, 1187, 2020, 3123, 9302, 1043, 1026, 12391, 1027, 2170, 1054, 4702, 15903, 1365, 1132, 2020, 29503, 1678, 2097, 1026, 2790, 1009, 2712, 25610, 1005, 29701, 1253, 9047, 4379, 1616, 8399, 8661, 1006, 5095, 1009, 3417, 1026, 16361, 1005, 3524, 1006, 5095, 1068, 2073, 2020, 29503, 15, 1005, 13898, 1130, 1752, 25886, 3857, 8399, 4375, 1048, 1857, 1327, 1150, 2703, 8180, 1082, 4707, 1009, 21787, 5241, 1178, 1514, 1599, 1511, 1006, 5095, 15436, 1132, 4551, 1010, 1005, 1169, 5072, 1420, 1124, 1033, 1423, 7198, 1005, 1356, 2790, 1009, 29701, 1253, 1206, 10203, 1006, 5095, 1846, 1048, 1096, 16164, 1356, 12391, 1627, 1309, 1996, 1048, 1264, 1251, 2260, 1026, 20486, 1206, 8147, 1044, 2020, 29503, 1043, 1006, 5095, 1996, 1009, 1044, 25886, 3857, 1298, 5242, 1024, 1026, 12042, 1066, 1114, 3349, 1049, 2020, 3123, 23049, 3735, 2256, 5200, 1660, 2650, 1596, 13898, 3607, 1124, 14344, 3501, 1046, 1005, 1124, 5908, 10045, 1046, 2620, 158, 3150, 1138, 2666, 1096, 1403, 21460, 7368, 1118, 1791, 19123, 6420, 23529, 3259, 1118, 1044, 5064, 25686, 1005, 2666, 1009, 25686, 1054, 9297, 31337, 5126, 1058, 3671, 1046, 1043, 1791, 2768, 1544, 2979, 1009, 3428, 1048, 2683, 1202, 1006, 4734, 27273, 1060, 5618, 25431, 2023, 26588, 4124, 1096, 1044, 2666, 20772, 1043, 12391, 1027, 1005, 5095, 1365, 1101, 5908, 1009, 2475, 4731, 1752, 20, 1257, 4004, 1138, 2666, 1096, 20772, 1054, 1044, 15511, 1275, 1009, 3295, 23610, 1048, 1225, 1044, 2020, 29503, 8387, 1033, 30233, 1054, 1307, 4551, 26399, 1054, 9389, 1124, 5533, 20489, 1257, 5142, 3316, 2759, 1381, 8147, 2143, 1381, 2712, 25610, 20, 1655, 10, 6398, 6013, 2034, 7756, 1394, 19728, 1009, 25886, 1580, 2553, 17772, 1006, 18151, 1623, 2170, 1054, 4702, 15903, 1365, 2020, 29503, 1916, 1655, 10, 1487, 1175, 1487, 1766, 12418, 1049, 2712, 25610, 18746, 4379, 1048, 1026, 2790, 1049, 25886, 1236, 7009, 1006, 5095, 6968, 1026, 3428, 3994, 1043, 1006, 19040, 1060, 18151, 1623, 1068, 2073, 2020, 29503, 1068, 1048, 1026, 25886, 3857, 4172, 1178, 11892, 2270, 1257, 9884, 2430, 4896, 1236, 1298, 9207, 1511, 1006, 5095, 15436, 1132, 4551, 1010, 1005, 13234, 1124, 1033, 1423, 7198, 1132, 29701, 1248, 1072, 2790, 1049, 2318, 93, 7716, 30527, 1006, 5095, 1846, 1009, 8147, 1026, 12391, 1627, 1309, 1996, 1009, 8147, 1072, 9616, 1206, 1118, 8147, 1026, 2020, 29503, 1043, 1006, 18151, 1623, 1996, 1048, 1026, 25886, 3857, 1298, 5242, 1024, 1026, 12042, 1066, 1114, 3349, 1049, 2020, 3123, 23049, 1257, 10723, 3735, 1782, 5200, 1660, 2650, 1327, 13898, 3607, 1124, 14344, 3501, 1046, 1005, 1132, 11409, 1271, 5908, 1327, 2649, 1396, 7425, 1655, 10, 6398, 10396, 1138, 2666, 1096, 13726, 16364, 1118, 1101, 19123, 6420, 1044, 5064, 25686, 1005, 2666, 1054, 9297, 31337, 1257, 11736, 1766, 19123, 1209, 1058, 3671, 1046, 1043, 2156, 7756, 1394, 2979, 1009, 3428, 1048, 2683, 1202, 1006, 4734, 27273, 1060, 5618, 1, 8454, 1044, 10176, 25008, 1343, 1322, 1026, 1235, 2446, 18795, 1009, 26673, 1043, 7051, 1054, 1569, 5625, 2353, 3589, 5625, 1005, 6978, 19340, 23489, 8017, 6924, 19340, 6146, 4601, 1050, 5636, 1580, 1005, 21716, 2873, 1170, 19340, 1654, 1068, 13421, 1006, 13875, 1060, 8720, 1005, 14451, 1235, 7856, 1068, 14328, 26205, 3974, 1159, 26063, 13396, 18, 19430, 1126, 1871, 1005, 14937, 5120, 1005, 11948, 1159, 3592, 19722, 21623, 1068, 1026, 1235, 3445, 1357, 3454, 8508, 8017, 1094, 12254, 1206, 3239, 7397, 1343, 1068, 5047, 12769, 1005, 4123, 4987, 1213, 1235, 10176, 5991, 19205, 1356, 31407, 3100, 19757, 1357, 3938, 10719, 1203, 1140, 1049, 6972, 9517, 1064, 21560, 20, 13648, 16171, 5049, 4065, 2468, 10719, 1203, 1069, 1009, 15830, 1005, 25783, 13545, 1526, 1323, 15792, 5617, 1196, 1752, 16991, 1138, 1064, 21560, 14937, 5604, 1006, 1008, 2140, 2112, 1005, 1006, 18274, 1005, 1096, 1429, 3342, 1278, 4485, 1159, 1006, 9056, 1271, 3535, 4846, 13287, 1048, 10029, 1044, 1064, 162, 19086, 1006, 1224, 29576, 1005, 3938, 31237, 15792, 6027, 1006, 4877, 6027, 10796, 1069, 1005, 1054, 5545, 20, 1257, 1257, 1138, 1064, 21560, 3134, 1094, 13396, 20824, 1048, 1716, 2607, 1094, 5223, 1009, 16373, 1005, 10719, 1474, 20, 13648, 16171, 1006, 1267, 1302, 1312, 1327, 9441, 3569, 1043, 6344, 1170, 2173, 1016, 1048, 1058, 14647, 1046, 1009, 1235, 19078, 20048, 3748, 16520, 8616, 1686, 2874, 1242, 1005, 10147, 1728, 3735, 1503, 2604, 1066, 18516, 1569, 14340, 1029, 1273, 1503, 3002, 4877, 1124, 1968, 1573, 30104, 1048, 1327, 3179, 1058, 2502, 1016, 1213, 9607, 20, 14327, 13396, 89, 1006, 1267, 1302, 1312, 1327, 13545, 5157, 1005, 1323, 5036, 11146, 22744, 1006, 8720, 1620, 1184, 8410, 1257, 1063, 1871, 1009, 1064, 21560, 1096, 2924, 10994, 1048, 1096, 4417, 1009, 19333, 2459, 4490, 12019, 1871, 1009, 2208, 12763, 2509, 1058, 31796, 1006, 1094, 3897, 1054, 1044, 14364, 4792, 2647, 3161, 1141, 89, 1302, 1526, 1005, 29576, 20, 2494, 7443, 1006, 1871, 1009, 1064, 21560, 1096, 1026, 1235, 11007, 1009, 8300, 18, 12502, 1094, 8720, 29957, 1068, 2073, 8327, 11038, 2374, 1044, 6276, 1206, 1044, 9914, 20, 1257, 1257, 1063, 1359, 1318, 21517, 1044, 3129, 10745, 1072, 15581, 1009, 1064, 21560, 20, 1551, 6548, 13614, 1006, 20433, 7850, 1206, 4474, 1126, 1026, 1064, 21560, 3904, 1054, 1094, 6735, 1009, 16403, 1678, 1752, 1044, 3872, 1005, 28973, 1054, 1235, 27228, 9627, 3653, 2784, 1026, 1064, 21560, 4474, 1126, 17005, 1044, 2269, 2127, 1072, 2092, 28069, 5024, 2468, 3581, 1512, 3247, 1091, 1009, 15830, 1141, 3691, 1049, 156, 1154, 1005, 3700, 12438, 1005, 1235, 2468, 7850, 1096, 1044, 7196, 1009, 6882, 1005, 26479, 1257, 1257, 1505, 23791, 1026, 14795, 1009, 1064, 21560, 1323, 2542, 1525, 2252, 1124, 18973, 4490, 8101, 25783, 1096, 25187, 4289, 2217, 2520, 1526, 1005, 7760, 1296, 21218, 20, 3735, 18627, 15933, 1072, 1235, 19430, 1126, 12280, 1048, 3074, 2730, 10588, 16952, 1100, 20234, 1069, 1357, 3938, 1060, 22372, 1138, 20903, 8101, 1096, 1044, 15531, 1068, 8268, 88, 20005, 25936, 1005, 10066, 1026, 2803, 3863, 20, 1257, 1482, 24338, 1026, 1064, 21560, 1096, 1094, 8720, 17995, 1005, 3964, 1048, 17005, 1044, 2269, 2127, 1072, 2092, 28069, 4490, 13396, 13545, 4289, 1871, 7257, 4289, 5281, 31594, 1005, 25783, 8101, 1650, 4882, 1094, 8720, 1048, 1096, 5417, 24229, 18210, 1138, 1064, 21560, 1323, 2862, 1006, 18185, 1006, 3938, 1060, 14044, 7910, 9807, 1006, 19334, 1149, 1005, 1323, 8356, 1009, 6313, 1072, 18074, 1, 8454, 1044, 2859, 2301, 1132, 4496, 3328, 32, 1257, 1257, 7968, 1544, 4176, 1202, 13868, 1009, 26917, 2526, 1043, 19772, 1009, 5513, 1060, 6140, 20, 29627, 2139, 2739, 1783, 22572, 675, 9962, 25317, 1732, 1333, 1159, 4633, 1009, 2913, 1626, 1377, 6836, 1009, 6313, 1114, 27682, 1132, 4231, 19244, 15752, 14308, 10722, 1802, 1257, 1257, 19984, 2083, 2814, 1044, 4545, 30413, 1132, 12094, 6470, 1094, 7621, 28821, 1322, 1132, 14936, 23691, 1187, 4231, 1009, 1094, 11319, 6140, 20, 4116, 13467, 1132, 13868, 1009, 26917, 6837, 9912, 1114, 6140, 1043, 19772, 1009, 18725, 1132, 12094, 20613, 1048, 1132, 4231, 1060, 6140, 22572, 675, 9962, 25317, 1732, 1333, 1159, 4633, 1009, 2913, 1626, 1377, 4378, 7621, 1096, 12308, 2246, 8798, 3357, 1322, 1132, 14936, 23691, 1187, 4231, 1060, 6140, 1005, 5420, 1094, 4123, 1049, 28205, 1060, 6140, 20, 1257, 1766, 12094, 20613, 1048, 4850, 1009, 3154, 3493, 1054, 1094, 27682, 1132, 4231, 19244, 15752, 14308, 10722, 2223, 3782, 1096, 25727, 2246, 1132, 14661, 1327, 23061, 1094, 4633, 1009, 17955, 12096, 1068, 1124, 8879, 1765, 3613, 20, 1482, 1472, 2668, 1132, 4231, 1201, 2241, 12248, 1043, 675, 9962, 25317, 1732, 1391, 1068, 1569, 6106, 1009, 2913, 1626, 1377, 1766, 12094, 13696, 1048, 1132, 675, 9962, 1596, 6178, 7327, 1402, 1114, 6140, 1118, 2835, 95, 1165, 1248, 25317, 1732, 1333, 1048, 1058, 25797, 1114, 6140, 11395, 1173, 21098, 1257, 1063, 7621, 1060, 12345, 1060, 6140, 1054, 675, 9962, 25317, 1732, 1333, 1159, 4633, 1009, 18871, 1096, 12308, 1118, 1094, 2700, 1009, 9702, 20, 1482, 1831, 8248, 9326, 1006, 4493, 1009, 12746, 1132, 14936, 23691, 1271, 8879, 1475, 5010, 4116, 4966, 1026, 1048, 1124, 1783, 1043, 1975, 1072, 7755, 4800, 3524, 1094, 4123, 1009, 1235, 3756, 1009, 1834, 1005, 1049, 3563, 1054, 1048, 3154, 1975, 20, 1482, 2277, 8248, 1006, 7621, 8798, 3357, 1322, 1026, 28205, 1060, 6140, 20, 1138, 3124, 1009, 1048, 1132, 4231, 5467, 1648, 12248, 1009, 675, 9962, 1068, 17303, 10863, 1048, 1298, 1261, 6675, 1188, 1094, 25722, 1009, 2089, 6768, 1009, 18871, 1114, 6140, 20, 3782, 3012, 1261, 12374, 1044, 5802, 10745 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1086, 1019, 2640, 1206, 16756, 2340, 1616, 1298, 19519, 1024, 1569, 20599, 1006, 2729, 25926, 1257, 1257, 1205, 2148, 1044, 3239, 1009, 1834, 1033, 1237, 2680, 6865, 19474, 1126, 9993, 1005, 8718, 7055, 20, 2773, 1435, 6546, 1004, 3589, 1299, 1298, 16410, 15068, 6233, 1026, 12511, 10268, 1005, 6313, 3600, 1076, 13994, 2453, 1009, 1456, 1025, 1089, 1554, 1142, 24911, 1009, 20800, 1569, 2173, 19513, 4883, 1043, 7931, 1005, 7508, 7320, 1009, 16410, 3453, 1054, 2252, 1124, 3905, 1009, 1224, 8150, 1, 4954, 159, 1006, 4380, 32, 1063, 3130, 3314, 169, 1009, 1675, 4722, 1009, 4464, 1298, 1054, 7189, 1058, 4531, 1026, 1853, 5399, 1068, 1783, 9343, 1016, 1638, 1041, 10158, 1159, 1132, 12434, 21044, 1826, 3748, 1026, 1015, 6986, 1852, 1054, 4188, 1213, 1235, 4711, 1009, 11257, 1973, 1044, 20238, 22922, 1322, 1026, 2743, 20202, 1072, 4802, 2270, 15888, 1508, 7187, 1068, 11140, 1124, 5502, 6553, 1016, 1005, 7320, 1009, 6233, 1026, 6072, 1294, 3913, 15906, 1068, 1044, 4711, 1009, 3099, 12562, 1049, 20202, 1054, 1791, 1006, 2125, 1646, 1406, 1973, 13993, 11023, 1174, 4189, 18, 1044, 4798, 1049, 15163, 2200, 1973, 1048, 1006, 2759, 14317, 6233, 1026, 6072, 1068, 1048, 1026, 20202, 4172, 1261, 1044, 4410, 1009, 2595, 6435, 1006, 1487, 16112, 3504, 18006, 1678, 1026, 1048, 1976, 1178, 1044, 4410, 14343, 1068, 1006, 3364, 1271, 6428, 1184, 12219, 73, 1580, 1060, 24204, 1138, 20202, 1195, 8744, 1043, 1124, 5502, 1009, 8290, 23417, 3245, 1585, 4261, 22134, 2040, 1009, 22684, 1149, 1054, 2535, 1009, 28761, 1009, 3111, 1206, 1086, 7588, 9800, 1009, 5641, 1206, 4601, 1009, 4449, 2328, 1009, 19953, 1305, 1033, 2037, 1005, 1495, 1592, 18558, 1094, 2423, 1206, 16437, 21735, 1068, 1365, 1363, 1456, 10095, 4846, 13993, 1973, 1048, 1026, 20202, 18, 8744, 1009, 1871, 8636, 1114, 12661, 1225, 4639, 1072, 1592, 3319, 1048, 5224, 1054, 27362, 14559, 5048, 1063, 5310, 2845, 1006, 3780, 1049, 20202, 1054, 8683, 1511, 1195, 6344, 1140, 1159, 1044, 2743, 15568, 18047, 2013, 5869, 1118, 10591, 1049, 18837, 1063, 5310, 1225, 1006, 1712, 2779, 9343, 71, 1049, 5108, 1043, 28997, 2744, 1009, 1783, 1043, 1184, 1009, 5251, 2864, 14780, 2224, 1118, 13707, 1009, 1224, 2779, 3225, 20, 1551, 2303, 1043, 1094, 3780, 1049, 4813, 1187, 23809, 22432, 2255, 1184, 1009, 1782, 2744, 1009, 10500, 1544, 1005, 10809, 1689, 1327, 7979, 1068, 7304, 1006, 2779, 9343, 1126, 1159, 1006, 3364, 1187, 16699, 21044, 26028, 6313, 1569, 10034, 8451, 1312, 1054, 10007, 5344, 1187, 4496, 1096, 4556, 1009, 2303, 1043, 1006, 7530, 37, 1063, 15, 1766, 10500, 1544, 1009, 26679, 10181, 1027, 1072, 3099, 1054, 1101, 1206, 1307, 4844, 1106, 15, 1766, 10500, 1544, 1009, 26679, 1693, 3371, 1132, 16699, 1006, 1663, 20984, 1062, 15, 1138, 20202, 3135, 1009, 3473, 4639, 1009, 27362, 14559, 5048, 1119, 15, 13803, 1371, 1048, 1026, 20202, 2374, 21506, 1118, 2252, 1124, 9913, 1257, 1063, 3484, 12638, 8, 3133, 7472, 8239, 1009, 2303, 1043, 1006, 7530, 1096, 1063, 15, 1766, 10500, 1544, 1009, 26679, 10181, 1027, 1072, 3099, 1054, 1101, 1206, 1307, 4844, 1138, 2859, 19067, 1048, 1132, 12434, 21044, 1826, 3748, 1132, 3913, 15906, 9107, 1068, 1026, 4711, 1049, 20202, 1054, 1791, 1006, 2125, 4844, 1138, 20202, 1096, 13535, 1068, 3371, 1783, 9343, 1016, 1043, 8823, 1159, 8290, 6648, 1005, 3245, 1585, 4261, 5846, 1024, 22134, 2040, 1005, 3823, 13109, 15277, 1138, 2859, 1318, 19067, 1048, 1026, 20202, 1195, 8744, 1009, 1871, 8636, 1114, 5310, 1005, 1225, 4639, 1072, 1592, 3319, 1048, 5224, 1054, 27362, 14559, 5048, 1776, 2268, 1160, 1837, 4697, 20026, 1009, 1048, 1026, 20202, 1298, 1663, 2289, 1206, 1048, 1058, 2540, 1048, 2374, 21506, 1118, 1752, 20506, 1, 17184, 1917, 3351, 3823, 1094, 2919, 1009, 4447, 1016, 1009, 8040, 15568, 1049, 9180, 1009, 26588, 4124, 1006, 2323, 1060, 7530, 1004, 3567, 1257, 26588, 4124, 1096, 1044, 2666, 1009, 25886, 1236, 1005, 5095, 20772, 1365, 2156, 5908, 1009, 18869, 4731, 1054, 1044, 3428, 1072, 3709, 1049, 1428, 1096, 1044, 3428, 1009, 3295, 23610, 6323, 4722, 15, 1043, 1044, 2020, 29503, 1054, 1752, 5533, 2485, 1752, 1044, 4360, 29203, 2156, 1033, 30233, 12209, 3569, 1054, 2125, 4551, 1554, 2034, 7756, 1394, 19728, 1009, 25886, 1580, 17772, 1006, 5095, 1054, 2712, 25610, 1054, 1044, 1187, 2020, 3123, 9302, 1043, 1026, 12391, 1027, 2170, 1054, 4702, 15903, 1365, 1132, 2020, 29503, 1678, 2097, 1026, 2790, 1009, 2712, 25610, 1005, 29701, 1253, 9047, 4379, 1616, 8399, 8661, 1006, 5095, 1009, 3417, 1026, 16361, 1005, 3524, 1006, 5095, 1068, 2073, 2020, 29503, 15, 1005, 13898, 1130, 1752, 25886, 3857, 8399, 4375, 1048, 1857, 1327, 1150, 2703, 8180, 1082, 4707, 1009, 21787, 5241, 1178, 1514, 1599, 1511, 1006, 5095, 15436, 1132, 4551, 1010, 1005, 1169, 5072, 1420, 1124, 1033, 1423, 7198, 1005, 1356, 2790, 1009, 29701, 1253, 1206, 10203, 1006, 5095, 1846, 1048, 1096, 16164, 1356, 12391, 1627, 1309, 1996, 1048, 1264, 1251, 2260, 1026, 20486, 1206, 8147, 1044, 2020, 29503, 1043, 1006, 5095, 1996, 1009, 1044, 25886, 3857, 1298, 5242, 1024, 1026, 12042, 1066, 1114, 3349, 1049, 2020, 3123, 23049, 3735, 2256, 5200, 1660, 2650, 1596, 13898, 3607, 1124, 14344, 3501, 1046, 1005, 1124, 5908, 10045, 1046, 2620, 158, 3150, 1138, 2666, 1096, 1403, 21460, 7368, 1118, 1791, 19123, 6420, 23529, 3259, 1118, 1044, 5064, 25686, 1005, 2666, 1009, 25686, 1054, 9297, 31337, 5126, 1058, 3671, 1046, 1043, 1791, 2768, 1544, 2979, 1009, 3428, 1048, 2683, 1202, 1006, 4734, 27273, 1060, 5618, 25431, 2023, 26588, 4124, 1096, 1044, 2666, 20772, 1043, 12391, 1027, 1005, 5095, 1365, 1101, 5908, 1009, 2475, 4731, 1752, 20, 1257, 4004, 1138, 2666, 1096, 20772, 1054, 1044, 15511, 1275, 1009, 3295, 23610, 1048, 1225, 1044, 2020, 29503, 8387, 1033, 30233, 1054, 1307, 4551, 26399, 1054, 9389, 1124, 5533, 20489, 1257, 5142, 3316, 2759, 1381, 8147, 2143, 1381, 2712, 25610, 20, 1655, 10, 6398, 6013, 2034, 7756, 1394, 19728, 1009, 25886, 1580, 2553, 17772, 1006, 18151, 1623, 2170, 1054, 4702, 15903, 1365, 2020, 29503, 1916, 1655, 10, 1487, 1175, 1487, 1766, 12418, 1049, 2712, 25610, 18746, 4379, 1048, 1026, 2790, 1049, 25886, 1236, 7009, 1006, 5095, 6968, 1026, 3428, 3994, 1043, 1006, 19040, 1060, 18151, 1623, 1068, 2073, 2020, 29503, 1068, 1048, 1026, 25886, 3857, 4172, 1178, 11892, 2270, 1257, 9884, 2430, 4896, 1236, 1298, 9207, 1511, 1006, 5095, 15436, 1132, 4551, 1010, 1005, 13234, 1124, 1033, 1423, 7198, 1132, 29701, 1248, 1072, 2790, 1049, 2318, 93, 7716, 30527, 1006, 5095, 1846, 1009, 8147, 1026, 12391, 1627, 1309, 1996, 1009, 8147, 1072, 9616, 1206, 1118, 8147, 1026, 2020, 29503, 1043, 1006, 18151, 1623, 1996, 1048, 1026, 25886, 3857, 1298, 5242, 1024, 1026, 12042, 1066, 1114, 3349, 1049, 2020, 3123, 23049, 1257, 10723, 3735, 1782, 5200, 1660, 2650, 1327, 13898, 3607, 1124, 14344, 3501, 1046, 1005, 1132, 11409, 1271, 5908, 1327, 2649, 1396, 7425, 1655, 10, 6398, 10396, 1138, 2666, 1096, 13726, 16364, 1118, 1101, 19123, 6420, 1044, 5064, 25686, 1005, 2666, 1054, 9297, 31337, 1257, 11736, 1766, 19123, 1209, 1058, 3671, 1046, 1043, 2156, 7756, 1394, 2979, 1009, 3428, 1048, 2683, 1202, 1006, 4734, 27273, 1060, 5618, 1, 8454, 1044, 10176, 25008, 1343, 1322, 1026, 1235, 2446, 18795, 1009, 26673, 1043, 7051, 1054, 1569, 5625, 2353, 3589, 5625, 1005, 6978, 19340, 23489, 8017, 6924, 19340, 6146, 4601, 1050, 5636, 1580, 1005, 21716, 2873, 1170, 19340, 1654, 1068, 13421, 1006, 13875, 1060, 8720, 1005, 14451, 1235, 7856, 1068, 14328, 26205, 3974, 1159, 26063, 13396, 18, 19430, 1126, 1871, 1005, 14937, 5120, 1005, 11948, 1159, 3592, 19722, 21623, 1068, 1026, 1235, 3445, 1357, 3454, 8508, 8017, 1094, 12254, 1206, 3239, 7397, 1343, 1068, 5047, 12769, 1005, 4123, 4987, 1213, 1235, 10176, 5991, 19205, 1356, 31407, 3100, 19757, 1357, 3938, 10719, 1203, 1140, 1049, 6972, 9517, 1064, 21560, 20, 13648, 16171, 5049, 4065, 2468, 10719, 1203, 1069, 1009, 15830, 1005, 25783, 13545, 1526, 1323, 15792, 5617, 1196, 1752, 16991, 1138, 1064, 21560, 14937, 5604, 1006, 1008, 2140, 2112, 1005, 1006, 18274, 1005, 1096, 1429, 3342, 1278, 4485, 1159, 1006, 9056, 1271, 3535, 4846, 13287, 1048, 10029, 1044, 1064, 162, 19086, 1006, 1224, 29576, 1005, 3938, 31237, 15792, 6027, 1006, 4877, 6027, 10796, 1069, 1005, 1054, 5545, 20, 1257, 1257, 1138, 1064, 21560, 3134, 1094, 13396, 20824, 1048, 1716, 2607, 1094, 5223, 1009, 16373, 1005, 10719, 1474, 20, 13648, 16171, 1006, 1267, 1302, 1312, 1327, 9441, 3569, 1043, 6344, 1170, 2173, 1016, 1048, 1058, 14647, 1046, 1009, 1235, 19078, 20048, 3748, 16520, 8616, 1686, 2874, 1242, 1005, 10147, 1728, 3735, 1503, 2604, 1066, 18516, 1569, 14340, 1029, 1273, 1503, 3002, 4877, 1124, 1968, 1573, 30104, 1048, 1327, 3179, 1058, 2502, 1016, 1213, 9607, 20, 14327, 13396, 89, 1006, 1267, 1302, 1312, 1327, 13545, 5157, 1005, 1323, 5036, 11146, 22744, 1006, 8720, 1620, 1184, 8410, 1257, 1063, 1871, 1009, 1064, 21560, 1096, 2924, 10994, 1048, 1096, 4417, 1009, 19333, 2459, 4490, 12019, 1871, 1009, 2208, 12763, 2509, 1058, 31796, 1006, 1094, 3897, 1054, 1044, 14364, 4792, 2647, 3161, 1141, 89, 1302, 1526, 1005, 29576, 20, 2494, 7443, 1006, 1871, 1009, 1064, 21560, 1096, 1026, 1235, 11007, 1009, 8300, 18, 12502, 1094, 8720, 29957, 1068, 2073, 8327, 11038, 2374, 1044, 6276, 1206, 1044, 9914, 20, 1257, 1257, 1063, 1359, 1318, 21517, 1044, 3129, 10745, 1072, 15581, 1009, 1064, 21560, 20, 1551, 6548, 13614, 1006, 20433, 7850, 1206, 4474, 1126, 1026, 1064, 21560, 3904, 1054, 1094, 6735, 1009, 16403, 1678, 1752, 1044, 3872, 1005, 28973, 1054, 1235, 27228, 9627, 3653, 2784, 1026, 1064, 21560, 4474, 1126, 17005, 1044, 2269, 2127, 1072, 2092, 28069, 5024, 2468, 3581, 1512, 3247, 1091, 1009, 15830, 1141, 3691, 1049, 156, 1154, 1005, 3700, 12438, 1005, 1235, 2468, 7850, 1096, 1044, 7196, 1009, 6882, 1005, 26479, 1257, 1257, 1505, 23791, 1026, 14795, 1009, 1064, 21560, 1323, 2542, 1525, 2252, 1124, 18973, 4490, 8101, 25783, 1096, 25187, 4289, 2217, 2520, 1526, 1005, 7760, 1296, 21218, 20, 3735, 18627, 15933, 1072, 1235, 19430, 1126, 12280, 1048, 3074, 2730, 10588, 16952, 1100, 20234, 1069, 1357, 3938, 1060, 22372, 1138, 20903, 8101, 1096, 1044, 15531, 1068, 8268, 88, 20005, 25936, 1005, 10066, 1026, 2803, 3863, 20, 1257, 1482, 24338, 1026, 1064, 21560, 1096, 1094, 8720, 17995, 1005, 3964, 1048, 17005, 1044, 2269, 2127, 1072, 2092, 28069, 4490, 13396, 13545, 4289, 1871, 7257, 4289, 5281, 31594, 1005, 25783, 8101, 1650, 4882, 1094, 8720, 1048, 1096, 5417, 24229, 18210, 1138, 1064, 21560, 1323, 2862, 1006, 18185, 1006, 3938, 1060, 14044, 7910, 9807, 1006, 19334, 1149, 1005, 1323, 8356, 1009, 6313, 1072, 18074, 1, 8454, 1044, 2859, 2301, 1132, 4496, 3328, 32, 1257, 1257, 7968, 1544, 4176, 1202, 13868, 1009, 26917, 2526, 1043, 19772, 1009, 5513, 1060, 6140, 20, 29627, 2139, 2739, 1783, 22572, 675, 9962, 25317, 1732, 1333, 1159, 4633, 1009, 2913, 1626, 1377, 6836, 1009, 6313, 1114, 27682, 1132, 4231, 19244, 15752, 14308, 10722, 1802, 1257, 1257, 19984, 2083, 2814, 1044, 4545, 30413, 1132, 12094, 6470, 1094, 7621, 28821, 1322, 1132, 14936, 23691, 1187, 4231, 1009, 1094, 11319, 6140, 20, 4116, 13467, 1132, 13868, 1009, 26917, 6837, 9912, 1114, 6140, 1043, 19772, 1009, 18725, 1132, 12094, 20613, 1048, 1132, 4231, 1060, 6140, 22572, 675, 9962, 25317, 1732, 1333, 1159, 4633, 1009, 2913, 1626, 1377, 4378, 7621, 1096, 12308, 2246, 8798, 3357, 1322, 1132, 14936, 23691, 1187, 4231, 1060, 6140, 1005, 5420, 1094, 4123, 1049, 28205, 1060, 6140, 20, 1257, 1766, 12094, 20613, 1048, 4850, 1009, 3154, 3493, 1054, 1094, 27682, 1132, 4231, 19244, 15752, 14308, 10722, 2223, 3782, 1096, 25727, 2246, 1132, 14661, 1327, 23061, 1094, 4633, 1009, 17955, 12096, 1068, 1124, 8879, 1765, 3613, 20, 1482, 1472, 2668, 1132, 4231, 1201, 2241, 12248, 1043, 675, 9962, 25317, 1732, 1391, 1068, 1569, 6106, 1009, 2913, 1626, 1377, 1766, 12094, 13696, 1048, 1132, 675, 9962, 1596, 6178, 7327, 1402, 1114, 6140, 1118, 2835, 95, 1165, 1248, 25317, 1732, 1333, 1048, 1058, 25797, 1114, 6140, 11395, 1173, 21098, 1257, 1063, 7621, 1060, 12345, 1060, 6140, 1054, 675, 9962, 25317, 1732, 1333, 1159, 4633, 1009, 18871, 1096, 12308, 1118, 1094, 2700, 1009, 9702, 20, 1482, 1831, 8248, 9326, 1006, 4493, 1009, 12746, 1132, 14936, 23691, 1271, 8879, 1475, 5010, 4116, 4966, 1026, 1048, 1124, 1783, 1043, 1975, 1072, 7755, 4800, 3524, 1094, 4123, 1009, 1235, 3756, 1009, 1834, 1005, 1049, 3563, 1054, 1048, 3154, 1975, 20, 1482, 2277, 8248, 1006, 7621, 8798, 3357, 1322, 1026, 28205, 1060, 6140, 20, 1138, 3124, 1009, 1048, 1132, 4231, 5467, 1648, 12248, 1009, 675, 9962, 1068, 17303, 10863, 1048, 1298, 1261, 6675, 1188, 1094, 25722, 1009, 2089, 6768, 1009, 18871, 1114, 6140, 20, 3782, 3012, 1261, 12374, 1044, 5802, 10745 ]

[ 1702, 1557, 2474, 17148, 1060, 4590, 22367, 1060, 29716, 4093, 17574, 1060, 4590, 6577, 1009, 2968, 1182, 14611, 1609, 30774, 1118, 24532, 1, 2045, 6899, 9252, 1387, 25453, 8532, 6244, 675, 1096, 1044, 2403, 1244, 3883, 2836, 9046, 1009, 3310, 2084, 1049, 4796, 8907, 23122, 21333, 1961, 7728, 1118, 21299, 9398, 5663, 3933, 16885, 1118, 26498, 1574, 1065, 1363, 16211, 1005, 13007, 4084, 11835, 1118, 7413, 1106, 2948, 1005, 1106, 11312, 4413, 3150, 1138, 10585, 1009, 30668, 31078, 1096, 6934, 1072, 7093, 31800, 1009, 21371, 1045, 1073, 3979, 14184, 1009, 26267, 17012, 3367, 2952, 1459, 14497, 1699, 12982, 84, 1528, 4228, 6905, 1574, 1065, 1363, 2359, 15, 1225, 2289, 1026, 1048, 1927, 5692, 32, 13997, 3453, 1005, 1044, 2631, 1449, 4457, 1776, 2268, 1511, 1687, 7932, 1048, 11240, 1071, 11407, 3844, 11376, 1349, 1235, 1249, 10182, 1325, 3027, 1044, 2535, 1043, 6014, 9836, 22028, 1130, 3106, 74, 1092, 1051, 1692, 1119, 1947, 1349, 1094, 3897, 1493, 1184, 19383, 14497, 1699, 0, 158, 31050, 1006, 1057, 2756, 1787, 1224, 1834, 11663, 21310, 4272, 1187, 16443, 2083, 26498, 1574, 1065, 1363, 2359, 1159, 14497, 1699, 12982, 84, 1528, 5, 7413, 1106, 2948, 1159, 4510, 1423, 23705, 1227, 2850, 5, 1106, 11312, 20820, 1159, 4735, 6041, 5, 3753, 3844, 11376, 1159, 11240, 12982, 84, 1528, 5, 2345, 1092, 1051, 1692, 1119, 1947, 1159, 6014, 9836, 22028, 1130, 5, 3753, 1313, 4602, 1159, 18534, 4413, 19563, 5542, 6246, 19098, 1159, 1138, 18511, 5, 12843, 30376, 1159, 21830, 5, 15934, 1081, 21909, 1875, 1159, 19438, 9221, 89, 23515, 5, 4948, 4765, 42, 23795, 1159, 8722, 18, 18801, 5476, 1009, 4510, 1423, 3160, 12006, 19152, 11312, 4413, 2255, 27766, 1068, 1026, 3129, 1023, 27570, 1009, 4735, 72, 2586, 7107, 1079, 7426, 6899, 9252, 1387, 25453, 8532, 6244, 8, 17949, 1043, 3793, 85, 9550, 1406, 1048, 1195, 3941, 1831, 20, 1138, 2403, 8171, 1006, 1944, 1472, 1048, 1687, 1195, 10373, 1140, 1118, 28033, 9792, 2652, 2200, 1058, 4312, 1235, 14486, 13192, 18795, 1479, 1005, 1058, 4730, 1034, 1006, 1264, 1159, 8701, 26616, 8, 1005, 1150, 28746, 2792, 22280, 1209, 20909, 1479, 1005, 1264, 7687, 1213, 1235, 2790, 1054, 24953, 4965, 8008, 2893, 1179, 1020, 1516, 1094, 11680, 1009, 4680, 3164, 1060, 5958, 2751, 26498, 1574, 1065, 1363, 2359, 1005, 1836, 7021, 5289, 1068, 13007, 4084, 21937, 1213, 2790, 21944, 3943, 2403, 1080, 7721, 1075, 4502, 1043, 9303, 7317, 1005, 16475, 1112, 1406, 14585, 1184, 6849, 26354, 1503, 1836, 10841, 1140, 1118, 2593, 25323, 1043, 1006, 1067, 88, 7043, 1574, 1065, 1363, 2359, 2100, 1776, 1831, 1531, 1009, 7107, 6495, 1574, 1065, 1363, 2359, 1150, 3386, 1013, 91, 1655, 85, 2279, 67, 1159, 1180, 6369, 1406, 1973, 4413, 3150, 11363, 1836, 18359, 20753, 22507, 1063, 3583, 5493, 3012, 1261, 2734, 1069, 1094, 11980, 1049, 9504, 2100, 1574, 1065, 1363, 2359, 4454, 20820, 2072, 9802, 2669, 1048, 1687, 12043, 1041, 14145, 1160, 15165, 7386, 1094, 5133, 1060, 2348, 11719, 1406, 1005, 6736, 1973, 1006, 1687, 32, 15888, 1079, 1043, 3360, 5832, 1009, 1299, 1048, 3074, 1305, 2880, 11021, 4490, 16977, 20445, 12991, 9121, 1006, 25936, 1124, 1761, 1728, 3807, 1226, 1195, 1184, 7048, 1054, 1569, 10152, 12049, 1846, 24424, 2654, 2598, 7800, 79, 2122, 3513, 1005, 1294, 4679, 2864, 1511, 1132, 5162, 11415, 5588, 5832, 1009, 10312, 1503, 1927, 27916, 2213, 9386, 1006, 12002, 1616, 2100, 20820, 1318, 1836, 5450, 1054, 4524, 1043, 1106, 2948, 18, 1309, 1456, 9191, 1068, 4048, 9249, 1054, 1044, 7246, 21864, 1114, 4180, 1596, 2072, 3010, 10952, 1402, 2950, 1132, 1009, 1224, 4575, 33, 1106, 2948, 1005, 1574, 1065, 1363, 2359, 1058, 1384, 1412, 4108, 1986, 1006, 9743, 1049, 2403, 21772, 11976, 6378, 1523, 9792, 18, 1049, 2045, 3399, 4516, 29734, 7600, 1026, 2403, 1009, 15412, 7507, 2752, 1045, 2669, 1009, 3596, 1043, 21872, 1048, 22011, 1225, 1184, 10278, 1009, 12795, 1049, 1048, 1060, 4263, 1060, 9319, 1009, 3047, 19255, 1043, 1006, 1428, 6105, 1058, 20808, 2100, 2200, 13236, 32, 1150, 2959, 1268, 1075, 2528, 1072, 2268, 1054, 1178, 24222, 20442, 3121, 1213, 4818, 8298, 1348, 1060, 1067, 88, 7043, 1574, 1065, 1363, 2359, 1005, 1233, 7689, 31482, 1187, 9918, 1138, 2574, 1048, 3134, 1054, 4732, 1009, 2042, 3012, 1261, 2281, 1853, 1201, 1069, 1054, 1044, 12035, 1009, 1224, 7614, 2100, 2200, 6895, 32, 3793, 88, 7043, 1574, 1065, 1363, 3529, 1009, 2303, 1043, 1664, 1132, 3523, 1229, 2364, 1225, 1006, 5342, 1009, 1569, 5025, 2170, 5819, 1096, 25727, 1048, 1687, 3241, 10921, 1090, 1377, 12102, 3240, 1225, 1006, 16376, 1009, 1178, 22901, 1114, 3364, 1009, 1569, 4609, 1273, 1309, 1026, 20550, 17635, 6794, 1009, 1178, 31764, 13786, 1026, 1080, 2431, 13213, 2100, 2200, 13708, 32, 3793, 88, 7043, 1574, 1065, 1363, 2359, 1381, 1094, 3437, 1990, 1340, 73, 5289, 1005, 29124, 7413, 1106, 2948, 1325, 7640, 1655, 75, 67, 1106, 11312, 20820, 3555, 1318, 8935, 1680, 1006, 1668, 2403, 8, 3868, 1509, 19209, 23612, 8822, 6899, 9252, 1387, 25453, 8532, 6244, 8, 1160, 1058, 7514, 1493, 1680, 1463, 11340, 3685, 4065, 13472, 1077, 7294, 9216, 1999, 2621, 3267, 1250, 1005, 7294, 1844, 2567, 2621, 1072, 22040, 25189, 7294, 9417, 3006, 2621, 5178, 24056, 1424, 1044, 9112, 1009, 7294, 2595, 2308, 25302, 1026, 2403, 9048, 1094, 15489, 1025, 1291, 1049, 2999, 29975, 1060, 3832, 1009, 13144, 3545, 1187, 2138, 2365, 1009, 23491, 3545, 1009, 8907, 23122, 1060, 3832, 1009, 13144, 3545, 1009, 7093, 1060, 3832, 1009, 13144, 3545, 11627, 1054, 17495, 1009, 7938, 1187, 2138, 12934, 15625, 1118, 21299, 9398, 11279, 3545, 12772, 1118, 10754, 2461, 82, 11336, 30299, 8050, 3545, 1060, 17845, 9585, 19409, 3545, 1054, 9612, 1005, 6548, 3545, 1054, 4397, 22617, 1054, 4397, 6814, 1, 22281, 9504, 1177, 1096, 1044, 6859, 18623, 1356, 6682, 1009, 10949, 1009, 11642, 1599, 2271, 12535, 1068, 1132, 3056, 11415, 1005, 5958, 1018, 1049, 6450, 11813, 3027, 1054, 2156, 16044, 23839, 6535, 1009, 1807, 4493, 1068, 1006, 5660, 5092, 1658, 18187, 5510, 1026, 1720, 1049, 6159, 9504, 1177, 22657, 1009, 16758, 1166, 5, 1063, 2919, 1006, 4054, 2612, 1043, 1132, 5169, 24034, 1072, 2788, 3092, 1049, 6682, 1009, 11642, 1069, 2083, 42, 28605, 1009, 8029, 5446, 28605, 1009, 3303, 5446, 28605, 1009, 3837, 5446, 28605, 1009, 3209, 3296, 9079, 675, 11381, 1223, 13349, 1009, 6450, 1049, 1561, 1576, 13034, 1009, 6450, 1049, 1561, 1, 1138, 1138, 1470, 6463, 1009, 1144, 3418, 4000, 1096, 1026, 1380, 9667, 4987, 1049, 11654, 1214, 1142, 3556, 2271, 1026, 2277, 11654, 1214, 15867, 1377, 1138, 2169, 4747, 5474, 25968, 1072, 27217, 1144, 3418, 4000, 13551, 1118, 11654, 1214, 1142, 3556, 1054, 1119, 78, 1412, 12547, 1126, 29456, 1138, 1138, 1470, 6463, 1144, 3418, 4000, 1516, 1026, 6680, 17891, 1049, 25476, 1144, 3418, 4000, 1072, 16817, 2509, 5801, 13175, 16817, 2509, 1005, 1054, 2693, 1006, 2413, 1049, 30939, 3691, 1411, 1132, 1380, 12028, 8715, 1412, 1005, 11640, 1006, 25595, 1044, 3129, 2512, 1114, 3572, 2094, 9403, 18, 17809, 1005, 1661, 1087, 2275, 1776, 16817, 15172, 1026, 1138, 1470, 6463, 1009, 1144, 3418, 4000, 1005, 1734, 1380, 2137, 9680, 18564, 2745, 1318, 8715, 1412, 11409, 3145, 15237, 1077, 1006, 10567, 1009, 8406, 21545, 1005, 18010, 8600, 1322, 10022, 11946, 1452, 1009, 11169, 1005, 6119, 1026, 1184, 14366, 15237, 1077, 1114, 2033, 2063, 1009, 3227, 1068, 1026, 2322, 0, 11654, 1214, 1142, 3556, 1049, 16817, 29261, 1972, 4379, 1211, 2002, 1854, 1005, 12207, 1072, 2568, 1009, 5286, 1009, 1686, 1021, 86, 1097, 6009, 1206, 15408, 1273, 2966, 1026, 11654, 1214, 1142, 3556, 1005, 1026, 6459, 21769, 1142, 13174, 1006, 26559, 1009, 3939, 25155, 1068, 1026, 4549, 2648, 4634, 1084, 12571, 96, 1049, 16817, 2509, 5649, 1048, 2848, 1380, 12028, 3634, 1058, 13275, 1068, 1006, 12779, 1060, 17249, 1925, 6061, 1713, 30580, 1094, 2700, 1009, 14541, 1026, 3980, 3613, 2453, 1049, 30939, 3691, 1411, 1271, 2688, 1026, 1144, 3418, 4000, 1096, 1657, 1094, 20, 1063, 5133, 1150, 1017, 9667, 8, 1096, 5483, 2309, 1030, 1316, 1095, 2314, 1068, 1058, 14436, 1213, 13352, 14286, 1863, 16656, 1206, 8621, 1048, 22047, 5838, 2539, 11819, 1009, 1510, 4607, 14131, 1145, 1206, 22310, 1126, 8769, 1060, 8928, 15, 3134, 1206, 6224, 1114, 16482, 4031, 1005, 3680, 1048, 18912, 1159, 8326, 1365, 1026, 7825, 13449, 1029, 3888, 1784, 1005, 1132, 29280, 30956, 1015, 1088, 3150, 10497, 8326, 19070, 5819, 8903, 1159, 1953, 1088, 3933, 1048, 3901, 23571, 7349, 2068, 7192, 2100, 16149, 19, 18617, 1262, 1627, 1026, 2169, 4747, 1298, 14183, 1094, 1884, 1029, 3247, 2699, 15267, 1140, 1658, 1009, 1149, 1048, 1058, 18013, 2328, 1049, 1380, 9667, 1096, 2929, 2705, 31686, 1029, 3058, 1044, 1187, 21510, 6097, 1166, 1118, 16172, 3036, 1258, 1107, 6277, 1048, 1026, 17803, 25383, 1049, 3118, 1593, 2297, 1009, 4948, 95, 1802, 6908, 1136, 1989, 6506, 11897, 1371, 1114, 6317, 1049, 3118, 1593, 2297, 1009, 1144, 3418, 4000, 1005, 1054, 4948, 10397, 1195, 12362, 1356, 6506, 15196, 1379, 1570, 1162, 8385, 2303, 1043, 1106, 11045, 8701, 16865, 1009, 2929, 2705, 1072, 27217, 1144, 3418, 4000, 30093, 1044, 4465, 15137, 7919, 1054, 14825, 1072, 3009, 11583, 18, 3587, 2328, 1187, 9191, 16831, 18024, 1049, 1633, 3213, 11654, 1214, 1142, 3556, 1005, 1235, 1445, 1091, 26766, 95, 158, 31686, 1065, 1135, 2100, 5153, 6075, 158, 1009, 29629, 1018, 10709, 11386, 85, 80, 27254, 8165, 1072, 14928, 1615, 1138, 3980, 1723, 2159, 5459, 3020, 1409, 16817, 9533, 1006, 2512, 3621, 24327, 1356, 2169, 4747, 6680, 1009, 2929, 2705, 1159, 1044, 21173, 25693, 1096, 3701, 1140, 1159, 4766, 1435, 1006, 2323, 1049, 3124, 1009, 1048, 1026, 24759, 19, 1017, 9667, 8112, 1079, 1006, 2779, 1060, 3861, 1030, 1316, 1095, 1685, 2328, 1009, 1456, 11262, 17045, 1070, 5730, 1233, 4180, 1049, 1633, 3213, 11654, 1214, 1142, 13174, 1213, 13351, 1439, 1094, 7507, 1009, 31885, 1303, 1271, 6768, 8317, 1009, 3111, 1357, 4668, 1028, 3551, 1029, 8712, 1048, 2257, 7898, 1009, 11410, 1132, 4231, 1009, 1142, 3035, 71, 5339, 1709, 1010, 4395, 3199, 1006, 6841, 1009, 1842, 1034, 28412, 1026, 3542, 4484, 1009, 22398, 31355, 20534, 1072, 16817, 2509, 4715, 1233, 15894, 1060, 1863, 16656, 2929, 2705, 1072, 18415, 1876, 1030, 1316, 1095, 1577, 2378, 75, 7254, 1736, 15406, 1007, 1006, 17765, 1005, 7442, 1060, 8928, 1049, 1138, 1470, 6463, 12778, 1672, 2896, 8882, 1124, 3145, 5314, 1009, 4961, 2083, 16172, 3036, 1258, 1107, 1589, 0, 620, 1064, 3556, 18415, 1291, 1049, 3009, 20644, 5, 4948, 10397, 5, 1205, 14470, 1007, 81, 1061, 20777, 0, 620, 1009, 1149, 12302, 1196, 18415, 1291, 1030, 1316, 1095, 1685, 5, 10754, 1183, 0, 620, 6502, 5773, 1114, 9976, 1634, 2860, 1005, 20263, 4352, 2565, 1043, 23013, 30868, 5, 4408, 1665, 5, 3300, 5764, 1555, 79, 0, 620, 6506, 23939, 1343, 1009, 1044, 2386, 1114, 9403, 19042, 16998, 15753, 3026, 16172, 3036, 1258, 1107, 1589, 13005, 1792, 1026, 27217, 4948, 10397, 1043, 1006, 9752, 1009, 1205, 14470, 1007, 81, 1061, 1730, 1126, 1264, 2928, 1079, 1026, 6506, 25383, 8500, 2929, 2705, 31686, 1029, 10718, 1005, 1026, 1244, 3458, 1118, 18608, 4376, 1068, 1058, 4531, 1026, 6680, 1009, 2693, 1006, 24199, 1009, 21510, 23939, 1888, 18415, 11048, 2929, 78, 1930, 1184, 3232, 3201, 1159, 13698, 2024, 9951, 81, 74, 3933, 5749, 1026, 2751, 25383, 1187, 11654, 1214, 15867, 1273, 6744, 23292, 2328, 1049, 1138, 1470, 6463, 1144, 3418, 4000, 18934, 2303, 1043, 1026, 11654, 1214, 1142, 13174, 25621, 1030, 1316, 1095, 2314, 9577, 1043, 1380, 12028, 1118, 2754, 9702, 20, 1138, 8208, 1187, 1380, 12028, 1160, 1096, 1657, 10741, 15290, 1026, 20816, 5126, 1327, 10336, 1159, 23939, 1888, 1005, 1726, 2624, 6163, 1159, 7744, 1037, 12111, 1776, 2268, 1224, 2562, 2751, 1096, 7904, 1026, 10754, 1183, 1049, 24188, 1005, 1456, 9626, 1708, 29082, 1686, 1177, 1049, 1138, 1470, 6463, 29255, 1026, 1953, 1088, 1051, 1096, 26082, 15993, 1114, 8928, 1049, 7377, 1162, 1005, 1144, 77, 1165, 7758, 1005, 23179, 8981, 1094, 3278, 17444, 1716, 1097, 2636, 3751, 2166, 2966, 3974, 1159, 23626, 10707, 2339, 28507, 2080, 1007, 1005, 2384, 1007, 1068, 1762, 6716, 1026, 1138, 1470, 6463, 1048, 18347, 1076, 1043, 3722, 1235, 6975, 10712, 2328, 1060, 13560, 1009, 1008, 3094, 1126, 29255, 22047, 1006, 2068, 7192, 1658, 4599, 1271, 6298, 1365, 2929, 2705, 4334, 1017, 80, 158, 27382, 5075, 15, 1005, 1132, 30354, 1214, 2427, 24013, 26804, 1213, 4004, 0, 11654, 1214, 1142, 13174, 1048, 11461, 1079, 1054, 28668, 16044, 1006, 2929, 78, 1930, 1026, 1428, 17687, 1178, 1235, 25383, 1005, 1049, 3118, 1593, 2297, 1009, 1119, 3766, 86, 24185, 3867, 1213, 1009, 1144, 3418, 4000, 6592, 1054, 2182, 8121, 1026, 7819, 0, 11654, 1214, 1142, 3556, 1058, 18584, 91, 1054, 6680, 1049 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1702, 1557, 2474, 17148, 1060, 4590, 22367, 1060, 29716, 4093, 17574, 1060, 4590, 6577, 1009, 2968, 1182, 14611, 1609, 30774, 1118, 24532, 1, 2045, 6899, 9252, 1387, 25453, 8532, 6244, 675, 1096, 1044, 2403, 1244, 3883, 2836, 9046, 1009, 3310, 2084, 1049, 4796, 8907, 23122, 21333, 1961, 7728, 1118, 21299, 9398, 5663, 3933, 16885, 1118, 26498, 1574, 1065, 1363, 16211, 1005, 13007, 4084, 11835, 1118, 7413, 1106, 2948, 1005, 1106, 11312, 4413, 3150, 1138, 10585, 1009, 30668, 31078, 1096, 6934, 1072, 7093, 31800, 1009, 21371, 1045, 1073, 3979, 14184, 1009, 26267, 17012, 3367, 2952, 1459, 14497, 1699, 12982, 84, 1528, 4228, 6905, 1574, 1065, 1363, 2359, 15, 1225, 2289, 1026, 1048, 1927, 5692, 32, 13997, 3453, 1005, 1044, 2631, 1449, 4457, 1776, 2268, 1511, 1687, 7932, 1048, 11240, 1071, 11407, 3844, 11376, 1349, 1235, 1249, 10182, 1325, 3027, 1044, 2535, 1043, 6014, 9836, 22028, 1130, 3106, 74, 1092, 1051, 1692, 1119, 1947, 1349, 1094, 3897, 1493, 1184, 19383, 14497, 1699, 0, 158, 31050, 1006, 1057, 2756, 1787, 1224, 1834, 11663, 21310, 4272, 1187, 16443, 2083, 26498, 1574, 1065, 1363, 2359, 1159, 14497, 1699, 12982, 84, 1528, 5, 7413, 1106, 2948, 1159, 4510, 1423, 23705, 1227, 2850, 5, 1106, 11312, 20820, 1159, 4735, 6041, 5, 3753, 3844, 11376, 1159, 11240, 12982, 84, 1528, 5, 2345, 1092, 1051, 1692, 1119, 1947, 1159, 6014, 9836, 22028, 1130, 5, 3753, 1313, 4602, 1159, 18534, 4413, 19563, 5542, 6246, 19098, 1159, 1138, 18511, 5, 12843, 30376, 1159, 21830, 5, 15934, 1081, 21909, 1875, 1159, 19438, 9221, 89, 23515, 5, 4948, 4765, 42, 23795, 1159, 8722, 18, 18801, 5476, 1009, 4510, 1423, 3160, 12006, 19152, 11312, 4413, 2255, 27766, 1068, 1026, 3129, 1023, 27570, 1009, 4735, 72, 2586, 7107, 1079, 7426, 6899, 9252, 1387, 25453, 8532, 6244, 8, 17949, 1043, 3793, 85, 9550, 1406, 1048, 1195, 3941, 1831, 20, 1138, 2403, 8171, 1006, 1944, 1472, 1048, 1687, 1195, 10373, 1140, 1118, 28033, 9792, 2652, 2200, 1058, 4312, 1235, 14486, 13192, 18795, 1479, 1005, 1058, 4730, 1034, 1006, 1264, 1159, 8701, 26616, 8, 1005, 1150, 28746, 2792, 22280, 1209, 20909, 1479, 1005, 1264, 7687, 1213, 1235, 2790, 1054, 24953, 4965, 8008, 2893, 1179, 1020, 1516, 1094, 11680, 1009, 4680, 3164, 1060, 5958, 2751, 26498, 1574, 1065, 1363, 2359, 1005, 1836, 7021, 5289, 1068, 13007, 4084, 21937, 1213, 2790, 21944, 3943, 2403, 1080, 7721, 1075, 4502, 1043, 9303, 7317, 1005, 16475, 1112, 1406, 14585, 1184, 6849, 26354, 1503, 1836, 10841, 1140, 1118, 2593, 25323, 1043, 1006, 1067, 88, 7043, 1574, 1065, 1363, 2359, 2100, 1776, 1831, 1531, 1009, 7107, 6495, 1574, 1065, 1363, 2359, 1150, 3386, 1013, 91, 1655, 85, 2279, 67, 1159, 1180, 6369, 1406, 1973, 4413, 3150, 11363, 1836, 18359, 20753, 22507, 1063, 3583, 5493, 3012, 1261, 2734, 1069, 1094, 11980, 1049, 9504, 2100, 1574, 1065, 1363, 2359, 4454, 20820, 2072, 9802, 2669, 1048, 1687, 12043, 1041, 14145, 1160, 15165, 7386, 1094, 5133, 1060, 2348, 11719, 1406, 1005, 6736, 1973, 1006, 1687, 32, 15888, 1079, 1043, 3360, 5832, 1009, 1299, 1048, 3074, 1305, 2880, 11021, 4490, 16977, 20445, 12991, 9121, 1006, 25936, 1124, 1761, 1728, 3807, 1226, 1195, 1184, 7048, 1054, 1569, 10152, 12049, 1846, 24424, 2654, 2598, 7800, 79, 2122, 3513, 1005, 1294, 4679, 2864, 1511, 1132, 5162, 11415, 5588, 5832, 1009, 10312, 1503, 1927, 27916, 2213, 9386, 1006, 12002, 1616, 2100, 20820, 1318, 1836, 5450, 1054, 4524, 1043, 1106, 2948, 18, 1309, 1456, 9191, 1068, 4048, 9249, 1054, 1044, 7246, 21864, 1114, 4180, 1596, 2072, 3010, 10952, 1402, 2950, 1132, 1009, 1224, 4575, 33, 1106, 2948, 1005, 1574, 1065, 1363, 2359, 1058, 1384, 1412, 4108, 1986, 1006, 9743, 1049, 2403, 21772, 11976, 6378, 1523, 9792, 18, 1049, 2045, 3399, 4516, 29734, 7600, 1026, 2403, 1009, 15412, 7507, 2752, 1045, 2669, 1009, 3596, 1043, 21872, 1048, 22011, 1225, 1184, 10278, 1009, 12795, 1049, 1048, 1060, 4263, 1060, 9319, 1009, 3047, 19255, 1043, 1006, 1428, 6105, 1058, 20808, 2100, 2200, 13236, 32, 1150, 2959, 1268, 1075, 2528, 1072, 2268, 1054, 1178, 24222, 20442, 3121, 1213, 4818, 8298, 1348, 1060, 1067, 88, 7043, 1574, 1065, 1363, 2359, 1005, 1233, 7689, 31482, 1187, 9918, 1138, 2574, 1048, 3134, 1054, 4732, 1009, 2042, 3012, 1261, 2281, 1853, 1201, 1069, 1054, 1044, 12035, 1009, 1224, 7614, 2100, 2200, 6895, 32, 3793, 88, 7043, 1574, 1065, 1363, 3529, 1009, 2303, 1043, 1664, 1132, 3523, 1229, 2364, 1225, 1006, 5342, 1009, 1569, 5025, 2170, 5819, 1096, 25727, 1048, 1687, 3241, 10921, 1090, 1377, 12102, 3240, 1225, 1006, 16376, 1009, 1178, 22901, 1114, 3364, 1009, 1569, 4609, 1273, 1309, 1026, 20550, 17635, 6794, 1009, 1178, 31764, 13786, 1026, 1080, 2431, 13213, 2100, 2200, 13708, 32, 3793, 88, 7043, 1574, 1065, 1363, 2359, 1381, 1094, 3437, 1990, 1340, 73, 5289, 1005, 29124, 7413, 1106, 2948, 1325, 7640, 1655, 75, 67, 1106, 11312, 20820, 3555, 1318, 8935, 1680, 1006, 1668, 2403, 8, 3868, 1509, 19209, 23612, 8822, 6899, 9252, 1387, 25453, 8532, 6244, 8, 1160, 1058, 7514, 1493, 1680, 1463, 11340, 3685, 4065, 13472, 1077, 7294, 9216, 1999, 2621, 3267, 1250, 1005, 7294, 1844, 2567, 2621, 1072, 22040, 25189, 7294, 9417, 3006, 2621, 5178, 24056, 1424, 1044, 9112, 1009, 7294, 2595, 2308, 25302, 1026, 2403, 9048, 1094, 15489, 1025, 1291, 1049, 2999, 29975, 1060, 3832, 1009, 13144, 3545, 1187, 2138, 2365, 1009, 23491, 3545, 1009, 8907, 23122, 1060, 3832, 1009, 13144, 3545, 1009, 7093, 1060, 3832, 1009, 13144, 3545, 11627, 1054, 17495, 1009, 7938, 1187, 2138, 12934, 15625, 1118, 21299, 9398, 11279, 3545, 12772, 1118, 10754, 2461, 82, 11336, 30299, 8050, 3545, 1060, 17845, 9585, 19409, 3545, 1054, 9612, 1005, 6548, 3545, 1054, 4397, 22617, 1054, 4397, 6814, 1, 22281, 9504, 1177, 1096, 1044, 6859, 18623, 1356, 6682, 1009, 10949, 1009, 11642, 1599, 2271, 12535, 1068, 1132, 3056, 11415, 1005, 5958, 1018, 1049, 6450, 11813, 3027, 1054, 2156, 16044, 23839, 6535, 1009, 1807, 4493, 1068, 1006, 5660, 5092, 1658, 18187, 5510, 1026, 1720, 1049, 6159, 9504, 1177, 22657, 1009, 16758, 1166, 5, 1063, 2919, 1006, 4054, 2612, 1043, 1132, 5169, 24034, 1072, 2788, 3092, 1049, 6682, 1009, 11642, 1069, 2083, 42, 28605, 1009, 8029, 5446, 28605, 1009, 3303, 5446, 28605, 1009, 3837, 5446, 28605, 1009, 3209, 3296, 9079, 675, 11381, 1223, 13349, 1009, 6450, 1049, 1561, 1576, 13034, 1009, 6450, 1049, 1561, 1, 1138, 1138, 1470, 6463, 1009, 1144, 3418, 4000, 1096, 1026, 1380, 9667, 4987, 1049, 11654, 1214, 1142, 3556, 2271, 1026, 2277, 11654, 1214, 15867, 1377, 1138, 2169, 4747, 5474, 25968, 1072, 27217, 1144, 3418, 4000, 13551, 1118, 11654, 1214, 1142, 3556, 1054, 1119, 78, 1412, 12547, 1126, 29456, 1138, 1138, 1470, 6463, 1144, 3418, 4000, 1516, 1026, 6680, 17891, 1049, 25476, 1144, 3418, 4000, 1072, 16817, 2509, 5801, 13175, 16817, 2509, 1005, 1054, 2693, 1006, 2413, 1049, 30939, 3691, 1411, 1132, 1380, 12028, 8715, 1412, 1005, 11640, 1006, 25595, 1044, 3129, 2512, 1114, 3572, 2094, 9403, 18, 17809, 1005, 1661, 1087, 2275, 1776, 16817, 15172, 1026, 1138, 1470, 6463, 1009, 1144, 3418, 4000, 1005, 1734, 1380, 2137, 9680, 18564, 2745, 1318, 8715, 1412, 11409, 3145, 15237, 1077, 1006, 10567, 1009, 8406, 21545, 1005, 18010, 8600, 1322, 10022, 11946, 1452, 1009, 11169, 1005, 6119, 1026, 1184, 14366, 15237, 1077, 1114, 2033, 2063, 1009, 3227, 1068, 1026, 2322, 0, 11654, 1214, 1142, 3556, 1049, 16817, 29261, 1972, 4379, 1211, 2002, 1854, 1005, 12207, 1072, 2568, 1009, 5286, 1009, 1686, 1021, 86, 1097, 6009, 1206, 15408, 1273, 2966, 1026, 11654, 1214, 1142, 3556, 1005, 1026, 6459, 21769, 1142, 13174, 1006, 26559, 1009, 3939, 25155, 1068, 1026, 4549, 2648, 4634, 1084, 12571, 96, 1049, 16817, 2509, 5649, 1048, 2848, 1380, 12028, 3634, 1058, 13275, 1068, 1006, 12779, 1060, 17249, 1925, 6061, 1713, 30580, 1094, 2700, 1009, 14541, 1026, 3980, 3613, 2453, 1049, 30939, 3691, 1411, 1271, 2688, 1026, 1144, 3418, 4000, 1096, 1657, 1094, 20, 1063, 5133, 1150, 1017, 9667, 8, 1096, 5483, 2309, 1030, 1316, 1095, 2314, 1068, 1058, 14436, 1213, 13352, 14286, 1863, 16656, 1206, 8621, 1048, 22047, 5838, 2539, 11819, 1009, 1510, 4607, 14131, 1145, 1206, 22310, 1126, 8769, 1060, 8928, 15, 3134, 1206, 6224, 1114, 16482, 4031, 1005, 3680, 1048, 18912, 1159, 8326, 1365, 1026, 7825, 13449, 1029, 3888, 1784, 1005, 1132, 29280, 30956, 1015, 1088, 3150, 10497, 8326, 19070, 5819, 8903, 1159, 1953, 1088, 3933, 1048, 3901, 23571, 7349, 2068, 7192, 2100, 16149, 19, 18617, 1262, 1627, 1026, 2169, 4747, 1298, 14183, 1094, 1884, 1029, 3247, 2699, 15267, 1140, 1658, 1009, 1149, 1048, 1058, 18013, 2328, 1049, 1380, 9667, 1096, 2929, 2705, 31686, 1029, 3058, 1044, 1187, 21510, 6097, 1166, 1118, 16172, 3036, 1258, 1107, 6277, 1048, 1026, 17803, 25383, 1049, 3118, 1593, 2297, 1009, 4948, 95, 1802, 6908, 1136, 1989, 6506, 11897, 1371, 1114, 6317, 1049, 3118, 1593, 2297, 1009, 1144, 3418, 4000, 1005, 1054, 4948, 10397, 1195, 12362, 1356, 6506, 15196, 1379, 1570, 1162, 8385, 2303, 1043, 1106, 11045, 8701, 16865, 1009, 2929, 2705, 1072, 27217, 1144, 3418, 4000, 30093, 1044, 4465, 15137, 7919, 1054, 14825, 1072, 3009, 11583, 18, 3587, 2328, 1187, 9191, 16831, 18024, 1049, 1633, 3213, 11654, 1214, 1142, 3556, 1005, 1235, 1445, 1091, 26766, 95, 158, 31686, 1065, 1135, 2100, 5153, 6075, 158, 1009, 29629, 1018, 10709, 11386, 85, 80, 27254, 8165, 1072, 14928, 1615, 1138, 3980, 1723, 2159, 5459, 3020, 1409, 16817, 9533, 1006, 2512, 3621, 24327, 1356, 2169, 4747, 6680, 1009, 2929, 2705, 1159, 1044, 21173, 25693, 1096, 3701, 1140, 1159, 4766, 1435, 1006, 2323, 1049, 3124, 1009, 1048, 1026, 24759, 19, 1017, 9667, 8112, 1079, 1006, 2779, 1060, 3861, 1030, 1316, 1095, 1685, 2328, 1009, 1456, 11262, 17045, 1070, 5730, 1233, 4180, 1049, 1633, 3213, 11654, 1214, 1142, 13174, 1213, 13351, 1439, 1094, 7507, 1009, 31885, 1303, 1271, 6768, 8317, 1009, 3111, 1357, 4668, 1028, 3551, 1029, 8712, 1048, 2257, 7898, 1009, 11410, 1132, 4231, 1009, 1142, 3035, 71, 5339, 1709, 1010, 4395, 3199, 1006, 6841, 1009, 1842, 1034, 28412, 1026, 3542, 4484, 1009, 22398, 31355, 20534, 1072, 16817, 2509, 4715, 1233, 15894, 1060, 1863, 16656, 2929, 2705, 1072, 18415, 1876, 1030, 1316, 1095, 1577, 2378, 75, 7254, 1736, 15406, 1007, 1006, 17765, 1005, 7442, 1060, 8928, 1049, 1138, 1470, 6463, 12778, 1672, 2896, 8882, 1124, 3145, 5314, 1009, 4961, 2083, 16172, 3036, 1258, 1107, 1589, 0, 620, 1064, 3556, 18415, 1291, 1049, 3009, 20644, 5, 4948, 10397, 5, 1205, 14470, 1007, 81, 1061, 20777, 0, 620, 1009, 1149, 12302, 1196, 18415, 1291, 1030, 1316, 1095, 1685, 5, 10754, 1183, 0, 620, 6502, 5773, 1114, 9976, 1634, 2860, 1005, 20263, 4352, 2565, 1043, 23013, 30868, 5, 4408, 1665, 5, 3300, 5764, 1555, 79, 0, 620, 6506, 23939, 1343, 1009, 1044, 2386, 1114, 9403, 19042, 16998, 15753, 3026, 16172, 3036, 1258, 1107, 1589, 13005, 1792, 1026, 27217, 4948, 10397, 1043, 1006, 9752, 1009, 1205, 14470, 1007, 81, 1061, 1730, 1126, 1264, 2928, 1079, 1026, 6506, 25383, 8500, 2929, 2705, 31686, 1029, 10718, 1005, 1026, 1244, 3458, 1118, 18608, 4376, 1068, 1058, 4531, 1026, 6680, 1009, 2693, 1006, 24199, 1009, 21510, 23939, 1888, 18415, 11048, 2929, 78, 1930, 1184, 3232, 3201, 1159, 13698, 2024, 9951, 81, 74, 3933, 5749, 1026, 2751, 25383, 1187, 11654, 1214, 15867, 1273, 6744, 23292, 2328, 1049, 1138, 1470, 6463, 1144, 3418, 4000, 18934, 2303, 1043, 1026, 11654, 1214, 1142, 13174, 25621, 1030, 1316, 1095, 2314, 9577, 1043, 1380, 12028, 1118, 2754, 9702, 20, 1138, 8208, 1187, 1380, 12028, 1160, 1096, 1657, 10741, 15290, 1026, 20816, 5126, 1327, 10336, 1159, 23939, 1888, 1005, 1726, 2624, 6163, 1159, 7744, 1037, 12111, 1776, 2268, 1224, 2562, 2751, 1096, 7904, 1026, 10754, 1183, 1049, 24188, 1005, 1456, 9626, 1708, 29082, 1686, 1177, 1049, 1138, 1470, 6463, 29255, 1026, 1953, 1088, 1051, 1096, 26082, 15993, 1114, 8928, 1049, 7377, 1162, 1005, 1144, 77, 1165, 7758, 1005, 23179, 8981, 1094, 3278, 17444, 1716, 1097, 2636, 3751, 2166, 2966, 3974, 1159, 23626, 10707, 2339, 28507, 2080, 1007, 1005, 2384, 1007, 1068, 1762, 6716, 1026, 1138, 1470, 6463, 1048, 18347, 1076, 1043, 3722, 1235, 6975, 10712, 2328, 1060, 13560, 1009, 1008, 3094, 1126, 29255, 22047, 1006, 2068, 7192, 1658, 4599, 1271, 6298, 1365, 2929, 2705, 4334, 1017, 80, 158, 27382, 5075, 15, 1005, 1132, 30354, 1214, 2427, 24013, 26804, 1213, 4004, 0, 11654, 1214, 1142, 13174, 1048, 11461, 1079, 1054, 28668, 16044, 1006, 2929, 78, 1930, 1026, 1428, 17687, 1178, 1235, 25383, 1005, 1049, 3118, 1593, 2297, 1009, 1119, 3766, 86, 24185, 3867, 1213, 1009, 1144, 3418, 4000, 6592, 1054, 2182, 8121, 1026, 7819, 0, 11654, 1214, 1142, 3556, 1058, 18584, 91, 1054, 6680, 1049 ]

[ 15, 1195, 1044, 15591, 12984, 10165, 1054, 1062, 24599, 1114, 1084, 2954, 2154, 11944, 6624, 8508, 1138, 15673, 1009, 1456, 5278, 1195, 1044, 3957, 1009, 3939, 15093, 1224, 6365, 2342, 3424, 1063, 17994, 1970, 5780, 1118, 1235, 3419, 5459, 5078, 2253, 1175, 1048, 31327, 1044, 23090, 27280, 3066, 1175, 25818, 1094, 7923, 12563, 1896, 1271, 15971, 1170, 10601, 4525, 2247, 1009, 2089, 5360, 11966, 2271, 1132, 2250, 1187, 1172, 1153, 1781, 1580, 1233, 7654, 1009, 3292, 3213, 1054, 1307, 3949, 13619, 1118, 15413, 1060, 21483, 11038, 30725, 1044, 3182, 1009, 1557, 1009, 1184, 1009, 2279, 1087, 1361, 4844, 1551, 2303, 1043, 2689, 4287, 2037, 2013, 30058, 1195, 1026, 1831, 15591, 1006, 31357, 1094, 2042, 17928, 1059, 2899, 1568, 1104, 1162, 1071, 4943, 30, 13619, 1479, 1307, 3459, 13619, 1349, 1195, 1044, 15591, 1005, 1745, 7919, 1060, 13221, 2487, 1122, 1377, 13648, 3425, 2643, 1159, 5625, 1026, 13878, 1303, 30130, 1009, 1456, 5138, 20, 21612, 1124, 1569, 3425, 27728, 18, 6034, 3220, 6208, 2087, 3589, 1006, 22084, 1049, 17597, 1009, 22652, 1794, 5820, 1005, 1124, 3237, 1912, 1392, 1059, 2320, 14314, 85, 1206, 2320, 1041, 1019, 24835, 1195, 1044, 15591, 1005, 6971, 1173, 1051, 22621, 1049, 1852, 1049, 3009, 1205, 13619, 1005, 9456, 1049, 3009, 7802, 13619, 17695, 1569, 22433, 1271, 2688, 19595, 1278, 1058, 22002, 1132, 2833, 9680, 1006, 1184, 2512, 1096, 2505, 1773, 2255, 1094, 11909, 22097, 1009, 21699, 1005, 14541, 1060, 2597, 90, 1961, 1493, 9527, 1114, 1224, 4180, 1118, 1178, 1006, 1944, 1072, 1235, 4796, 20, 12539, 1734, 6585, 1229, 1006, 23086, 77, 11038, 1322, 1006, 1614, 25550, 18645, 1961, 1005, 1132, 1144, 2361, 79, 10369, 1261, 2281, 1751, 1009, 2505, 1773, 1020, 1059, 3237, 1097, 2678, 8465, 3949, 13619, 1479, 3727, 23, 13619, 15, 6971, 1173, 26342, 9955, 2566, 1009, 3425, 1322, 21699, 9814, 1005, 5025, 1060, 13221, 23551, 8988, 1257, 1163, 2053, 50, 2805, 10282, 5542, 20, 2172, 1035, 2209, 1253, 3399, 13009, 4676, 2045, 17257, 6393, 1409, 15921, 1051, 1423, 20389, 27764, 3614, 1107, 1609, 32, 14277, 2057, 8275, 14269, 4238, 1059, 1207, 2053, 42, 2321, 11880, 23588, 1192, 20, 2045, 20673, 1409, 15921, 1219, 32, 2045, 1134, 3668, 15292, 1409, 2186, 14452, 1574, 22141, 1723, 1409, 28299, 2145, 1377, 3399, 26631, 1123, 2703, 13580, 1909, 32, 3917, 1059, 1207, 2053, 42, 2321, 11880, 23588, 1192, 20, 14452, 14502, 2159, 2505, 1773, 1038, 20523, 3965, 15843, 15275, 2321, 41, 4562, 2722, 3753, 15927, 31372, 1063, 22248, 1129, 2604, 5663, 6358, 2159, 23911, 21335, 1047, 15624, 3965, 15754, 3646, 3917, 1059, 1073, 132, 3776, 64, 18, 3236, 6210, 4611, 1014, 12092, 1073, 3870, 14370, 6208, 1056, 1221, 1009, 11584, 72, 1554, 1535, 1117, 2402, 8676, 1009, 10250, 1122, 2491, 1018, 17003, 6637, 1273, 11260, 1059, 14799, 4826, 39, 1180, 145, 52, 30640, 18, 27908, 1130, 17187, 19753, 2034, 7825, 3238, 1009, 26062, 1912, 5820, 32, 4545, 1005, 10893, 20, 27198, 12204, 1009, 18730, 17885, 2828, 1009, 1764, 4989, 8438, 1009, 3237, 6405, 1411, 14911, 1005, 7564, 14047, 1273, 1764, 4989, 4152, 3818, 27224, 1257, 4665, 8475, 1916, 13533, 17667, 8475, 89, 37, 2090, 6125, 27, 48, 49, 25, 13516, 60, 57, 85, 41, 12, 11269, 35, 14212, 4994, 12, 82, 11269, 35, 14212, 4994, 12, 74, 87, 35, 1065, 1038, 11, 41, 13201, 40, 25, 14587, 12, 89, 7179, 35, 1245, 12, 27248, 35, 52, 76, 39, 93, 1252, 23, 53, 22, 45, 12, 89, 1122, 35, 55, 28, 25684, 82, 48, 82, 26, 95, 24552, 12275, 54, 94, 72, 87, 26044, 15949, 55, 22, 71, 56, 64, 77, 12, 12084, 35, 1722, 4314, 56, 12, 1352, 35, 62, 12, 16180, 35, 22, 9052, 59, 30687, 29494, 59, 82, 51, 49, 39, 87, 30, 42, 15555, 78, 61, 41, 81, 86, 39, 49, 25632, 61, 54, 40, 3541, 55, 28, 39, 5794, 55, 5250, 44, 9, 92, 35, 2578, 20538, 12, 87, 35, 1065, 1038, 11, 41, 13201, 40, 25, 14587, 12, 76, 35, 10563, 1117, 5, 11612, 3082, 1219, 3624, 3336, 9231, 21, 1051, 12321, 11612, 83, 73, 84, 72, 1047, 23818, 4177, 6575, 5594, 1047, 21, 1136, 6487, 3094, 37, 7664, 35, 75, 30058, 4974, 3577, 2341, 5, 4665, 8475, 1916, 13533, 17667, 8475, 89, 37, 2090, 86, 96, 49, 85, 41, 77, 10766, 55, 7231, 48, 12, 11269, 35, 22348, 3876, 31, 12, 82, 11269, 35, 22348, 3876, 31, 12, 74, 87, 35, 39, 1037, 88, 11, 41, 13201, 40, 25, 3277, 12, 89, 7179, 35, 1245, 12, 27248, 35, 80, 73, 27, 51, 44, 96, 92, 45, 24, 59, 12, 89, 1122, 35, 78, 44, 1020, 52, 54, 25374, 96, 59, 88, 60, 59, 74, 26, 88, 21362, 93, 83, 64, 92, 41, 24673, 4325, 12, 12084, 35, 1722, 4314, 56, 12, 1352, 35, 62, 12, 16180, 35, 22, 9052, 59, 30687, 93, 80, 25297, 19, 87, 5659, 42, 15555, 78, 61, 48, 46, 27, 39, 49, 46, 60, 86, 7635, 76, 63, 55, 28, 39, 5794, 54, 96, 39, 46, 9, 92, 35, 2578, 20538, 12, 87, 35, 39, 1037, 88, 11, 41, 13201, 40, 25, 3277, 12, 76, 35, 10563, 1117, 5, 5622, 89, 1046, 1212, 2223, 1352, 2914, 14238, 1117, 8475, 1916, 8280, 3755, 19735, 5988, 2830, 4990, 2721, 5402, 6101, 6582, 13821, 69, 27, 3452, 5003, 3006, 25104, 5, 11612, 90, 4411, 14839, 3158, 1041, 21, 1447, 6430, 14108, 21, 3624, 1038, 14829, 79, 12292, 1105, 6345, 1544, 1060, 13221, 23551, 1, 4378, 1096, 1094, 2919, 1009, 2804, 4430, 1049, 3338, 1009, 5683, 16800, 24495, 1138, 3338, 1009, 5683, 16800, 1052, 1195, 22579, 1357, 4338, 4708, 1495, 1083, 1009, 3353, 1009, 5614, 2443, 1511, 1195, 6754, 1006, 7029, 1037, 1272, 5464, 18, 3959, 1077, 4682, 1026, 21727, 1049, 8346, 13292, 1138, 7029, 1037, 1091, 5464, 1516, 3610, 1009, 1044, 19292, 1048, 3475, 1006, 5944, 3256, 1371, 9094, 2373, 19881, 2806, 4324, 1006, 2323, 1009, 1782, 1009, 3353, 1009, 29157, 11402, 1148, 1037, 1452, 1495, 1026, 1901, 1009, 29831, 1537, 8816, 4460, 12534, 20904, 1009, 29570, 1196, 1479, 1788, 1037, 1091, 1009, 5614, 28, 1006, 5614, 30, 18515, 1027, 24526, 1009, 26681, 1479, 1788, 1037, 1091, 1009, 5614, 30, 1006, 31621, 3341, 17112, 5296, 1526, 14413, 1479, 1788, 1037, 1091, 1009, 31621, 1006, 22007, 18249, 3809, 31568, 1009, 29570, 1196, 1479, 1788, 1037, 1091, 1009, 22007, 1006, 4658, 23, 20326, 2253, 1119, 3362, 11794, 1076, 1479, 1788, 1037, 1091, 1009, 4658, 23, 1006, 4658, 24, 18249, 3809, 31568, 1009, 29570, 1196, 1479, 1788, 1037, 1091, 1009, 4658, 24, 1006, 4658, 25, 1797, 9718, 3381, 1009, 12216, 22534, 1479, 1788, 1037, 1091, 1009, 4658, 25, 1006, 30595, 3564, 6410, 1577, 14563, 1479, 1788, 1037, 1091, 1009, 30595, 1006, 29831, 1691, 14470, 1017, 18779, 31568, 1009, 12216, 22534, 1479, 1788, 1037, 1091, 1009, 29831, 1006, 29157, 3160, 1013, 4430, 15956, 1357, 4338, 4708, 1495, 1026, 1901, 1009, 13144, 12683, 14470, 1017, 18779, 31568, 1009, 12216, 22534, 1175, 29157, 1006, 29065, 24861, 14024, 20567, 11721, 1479, 25665, 1006, 21124, 1691, 14470, 1017, 10754, 1047, 11396, 1009, 11369, 1479, 23035, 1006, 25470, 23532, 3779, 1009, 11369, 1479, 22653, 1006, 13144, 2503, 2459, 11377, 26894, 1060, 5827, 13050, 1479, 8149, 9062, 9457, 2721, 1006, 2595, 10867, 9457, 5940, 3160, 1013, 4430, 22565, 1206, 1057, 1474, 9698, 1229, 1006, 2323, 1009, 13144, 1495, 20890, 14887, 2459, 23641, 5296, 1526, 14413, 1479, 2595, 10867, 9457, 5940, 1006, 2182, 10913, 9457, 5940, 2503, 2459, 14984, 5683, 1347, 1009, 12216, 1479, 2182, 10913, 9457, 5940, 1006, 10479, 10993, 9457, 5784, 1940, 1885, 2390, 23295, 10499, 1479, 10479, 10993, 9457, 5784, 1006, 10479, 7447, 9457, 5784, 1691, 14470, 1017, 30328, 1468, 31445, 10767, 1479, 10479, 7447, 9457, 5784, 1006, 2523, 7447, 9457, 5784, 1940, 1885, 2390, 23295, 10499, 1479, 2523, 7447, 9457, 5784, 1006, 1204, 9062, 9457, 5784, 2503, 2459, 23641, 5296, 1526, 14413, 1479, 1204, 9062, 9457, 5784, 1006, 8260, 10867, 9457, 4406, 1797, 1120, 8645, 12335, 1187, 5751, 1479, 8260, 10867, 9457, 4406, 1006, 3404, 10714, 9457, 4406, 1383, 1590, 0, 1142, 2162, 1730, 11312, 20278, 2796, 1014, 2152, 1029, 1479, 3404, 10714, 9457, 4406, 1006, 3939, 10137, 9457, 4990, 1383, 1590, 0, 4242, 2834, 1009, 12113, 16668, 1479, 3939, 10137, 9457, 4990, 1006, 9842, 10993, 9457, 4673, 3341, 17112, 3512, 1073, 7282, 1479, 9842, 10993, 9457, 4673, 1006, 9801, 10137, 9457, 4994, 2503, 2459, 3236, 1009, 25729, 24465, 2059, 1479, 9801, 10137, 9457, 4994, 1006, 9801, 10714, 9457, 4994, 3341, 17112, 3512, 1073, 7282, 1479, 9801, 10714, 9457, 4994, 1006, 2182, 10993, 9457, 5963, 18249, 1051, 1017, 8025, 2841, 1479, 2182, 10993, 9457, 5963, 1006, 3295, 10867, 9457, 3949, 2503, 2459, 1983, 2253, 26545, 1563, 1009, 12113, 21075, 1479, 3295, 10867, 9457, 3949, 1006, 3186, 8674, 9457, 4368, 2503, 2459, 6318, 1009, 24526, 25140, 29454, 1479, 3186, 8674, 9457, 4368, 1006, 1204, 9062, 9457, 4368, 2503, 2459, 1983, 2253, 26545, 1563, 1009, 12113, 21075, 1479, 1204, 9062, 9457, 4368, 1006, 3727, 10867, 9457, 6259, 18515, 1027, 15055, 1009, 29570, 1196, 1479, 8584, 10579, 9457, 6259, 1006, 8584, 10579, 9457, 5871, 2503, 2459, 18786, 1188, 1009, 13755, 1479, 8584, 10579, 9457, 5871, 1006, 1782, 10913, 9457, 5871, 2503, 2459, 3236, 1187, 5751, 1479, 1782, 10913, 9457, 5871, 1006, 8260, 10137, 9457, 5871, 2503, 2459, 18786, 1188, 1009, 13755, 1479, 8260, 10137, 9457, 5871, 1006, 2595, 10137, 9457, 5871, 2503, 1017, 3216, 11396, 1479, 2595, 10137, 9457, 5871, 1006, 8584, 10867, 9457, 6507, 3160, 1013, 4430, 15956, 1356, 4113, 1006, 2323, 1009, 1083, 1009, 2992, 1009, 30075, 2966, 1026, 3633, 1005, 1132, 1057, 1731, 1478, 6108, 1318, 1257, 4338, 4708, 1009, 5683, 16800, 1052, 1110, 3367, 1007, 16800, 1052, 1, 1138, 6670, 2345, 11516, 1009, 26997, 2645, 2053, 15, 1096, 1044, 11650, 1009, 13971, 1147, 5447, 1356, 4813, 1060, 5027, 1054, 9861, 2290, 10129, 2769, 1009, 10949, 1071, 26626, 3828, 1349, 1068, 17751, 1006, 5660, 25467, 14762, 3925, 12311, 1026, 7228, 1365, 1006, 14486, 3656, 3267, 1005, 1235, 15424, 1138, 7915, 1058, 31553, 1213, 18687, 1233, 15103, 1233, 6894, 1005, 1233, 8568, 1009, 3425, 14486, 30258, 1009, 29753, 13574, 1009, 2935, 26144, 2328, 1009, 2476, 1993, 8557, 1009, 3480, 1726, 3235, 1009, 1752, 1044, 5473, 28381, 1060, 5660, 1049, 18280, 1005, 1224, 6446, 7412, 1178, 10239, 1140, 1068, 3398, 26990, 2277, 4789, 1263, 1009, 5774, 4607, 7347, 1068, 1752, 2446, 1009, 2451, 25759, 3133, 4173, 1049, 7915, 1058, 3765, 2328, 1060, 3088, 25560, 13118, 2636, 1028, 0, 1422, 2471, 1009, 2475, 1009, 3113, 1009, 17451, 1551, 2303, 1043, 1026, 2859, 1422, 0, 3960, 30109, 1006, 7680, 41, 3828, 3040, 7195, 1054, 28361, 1672, 1072, 1831, 14299, 1009, 1752, 7757, 6006, 1672, 1043, 2068, 1114, 1224, 13674, 24737, 1896, 1005, 29397, 1026, 2161, 3225, 1049, 6670, 2345, 11516, 1009, 1123, 14578, 1992, 1159, 1132, 11278, 8008, 1068, 1006, 1572, 1262, 1627, 7461, 1005, 14223, 1009, 7685, 1187, 3480, 1006, 4207, 8078, 1402, 1114, 1871, 1009, 3790, 3098, 9596, 1972, 1006, 14608, 1049, 28733, 2037, 2265, 1371, 1026, 4818, 1271, 16385, 7441, 1463, 11340, 3685, 1242, 1049, 6402, 2966, 1026, 1557, 1009, 8568, 1005, 1132, 3408, 13264, 1166, 1043, 1006, 5641, 1009, 17800, 1175, 16577, 1527, 1236, 1495, 4984, 1009, 2992, 1049, 1901, 1009, 18187, 18, 2277, 3088, 25560, 13118, 2636, 1028, 0, 1799, 3006, 8886, 3536, 1049, 7915, 2265, 1124, 16385, 14486, 30258, 1048, 6011, 4711, 4678, 1006, 2323, 1009, 2224, 3952, 7767, 1213, 1531, 2595, 1009, 3113, 1049, 1901, 1009, 5231, 1658, 3088, 25560, 13118, 2636, 1028, 0, 1422, 2471, 1048, 1757, 1026, 7915, 18, 9846, 4320, 6828, 6476, 1213, 2729, 1049, 4248, 3251, 2089, 3088, 1237, 1161, 13118, 3795, 1596, 18503, 1068, 1668, 2822, 32, 1028, 0, 1675, 2084, 1054, 8683, 1028, 0, 1779, 2400, 1054, 7624, 1028, 0, 1799, 2443, 1054, 7905, 1028, 0, 1799, 2534, 1054, 6796, 1005, 1028, 0, 2475, 2443, 1054, 14793, 15460, 5241, 2271, 25109, 1322, 2688, 3235, 1693, 6098, 1187, 19401, 1102, 1495, 1159, 1976, 8347, 1026, 4789, 1263, 1009, 1535, 4991, 1627, 1048, 10013, 1026, 3957, 1009, 3638, 1463, 2688, 1132, 3480, 1049, 6859, 1693, 1178, 2278, 1402, 1879, 7915, 2569, 1235, 1831, 17982, 3941, 1054, 9861, 1043, 2161, 1009, 18187, 1009, 2824, 6013, 3487, 1999, 25302, 9949, 1006, 1178, 21541, 1009, 2596, 5580, 8194, 1365, 1124, 3235, 6594, 1136, 4525, 1009, 2303, 1043, 1026, 14692, 1114, 3088, 25560, 13118, 2636, 1028, 0, 1422, 2567, 1482, 2252, 1124, 11012, 18, 23405, 1075, 2923, 1044, 2161, 6460, 1068, 1026, 6859, 1114, 4783, 1009, 2451, 11662, 1007, 33, 1054 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15, 1195, 1044, 15591, 12984, 10165, 1054, 1062, 24599, 1114, 1084, 2954, 2154, 11944, 6624, 8508, 1138, 15673, 1009, 1456, 5278, 1195, 1044, 3957, 1009, 3939, 15093, 1224, 6365, 2342, 3424, 1063, 17994, 1970, 5780, 1118, 1235, 3419, 5459, 5078, 2253, 1175, 1048, 31327, 1044, 23090, 27280, 3066, 1175, 25818, 1094, 7923, 12563, 1896, 1271, 15971, 1170, 10601, 4525, 2247, 1009, 2089, 5360, 11966, 2271, 1132, 2250, 1187, 1172, 1153, 1781, 1580, 1233, 7654, 1009, 3292, 3213, 1054, 1307, 3949, 13619, 1118, 15413, 1060, 21483, 11038, 30725, 1044, 3182, 1009, 1557, 1009, 1184, 1009, 2279, 1087, 1361, 4844, 1551, 2303, 1043, 2689, 4287, 2037, 2013, 30058, 1195, 1026, 1831, 15591, 1006, 31357, 1094, 2042, 17928, 1059, 2899, 1568, 1104, 1162, 1071, 4943, 30, 13619, 1479, 1307, 3459, 13619, 1349, 1195, 1044, 15591, 1005, 1745, 7919, 1060, 13221, 2487, 1122, 1377, 13648, 3425, 2643, 1159, 5625, 1026, 13878, 1303, 30130, 1009, 1456, 5138, 20, 21612, 1124, 1569, 3425, 27728, 18, 6034, 3220, 6208, 2087, 3589, 1006, 22084, 1049, 17597, 1009, 22652, 1794, 5820, 1005, 1124, 3237, 1912, 1392, 1059, 2320, 14314, 85, 1206, 2320, 1041, 1019, 24835, 1195, 1044, 15591, 1005, 6971, 1173, 1051, 22621, 1049, 1852, 1049, 3009, 1205, 13619, 1005, 9456, 1049, 3009, 7802, 13619, 17695, 1569, 22433, 1271, 2688, 19595, 1278, 1058, 22002, 1132, 2833, 9680, 1006, 1184, 2512, 1096, 2505, 1773, 2255, 1094, 11909, 22097, 1009, 21699, 1005, 14541, 1060, 2597, 90, 1961, 1493, 9527, 1114, 1224, 4180, 1118, 1178, 1006, 1944, 1072, 1235, 4796, 20, 12539, 1734, 6585, 1229, 1006, 23086, 77, 11038, 1322, 1006, 1614, 25550, 18645, 1961, 1005, 1132, 1144, 2361, 79, 10369, 1261, 2281, 1751, 1009, 2505, 1773, 1020, 1059, 3237, 1097, 2678, 8465, 3949, 13619, 1479, 3727, 23, 13619, 15, 6971, 1173, 26342, 9955, 2566, 1009, 3425, 1322, 21699, 9814, 1005, 5025, 1060, 13221, 23551, 8988, 1257, 1163, 2053, 50, 2805, 10282, 5542, 20, 2172, 1035, 2209, 1253, 3399, 13009, 4676, 2045, 17257, 6393, 1409, 15921, 1051, 1423, 20389, 27764, 3614, 1107, 1609, 32, 14277, 2057, 8275, 14269, 4238, 1059, 1207, 2053, 42, 2321, 11880, 23588, 1192, 20, 2045, 20673, 1409, 15921, 1219, 32, 2045, 1134, 3668, 15292, 1409, 2186, 14452, 1574, 22141, 1723, 1409, 28299, 2145, 1377, 3399, 26631, 1123, 2703, 13580, 1909, 32, 3917, 1059, 1207, 2053, 42, 2321, 11880, 23588, 1192, 20, 14452, 14502, 2159, 2505, 1773, 1038, 20523, 3965, 15843, 15275, 2321, 41, 4562, 2722, 3753, 15927, 31372, 1063, 22248, 1129, 2604, 5663, 6358, 2159, 23911, 21335, 1047, 15624, 3965, 15754, 3646, 3917, 1059, 1073, 132, 3776, 64, 18, 3236, 6210, 4611, 1014, 12092, 1073, 3870, 14370, 6208, 1056, 1221, 1009, 11584, 72, 1554, 1535, 1117, 2402, 8676, 1009, 10250, 1122, 2491, 1018, 17003, 6637, 1273, 11260, 1059, 14799, 4826, 39, 1180, 145, 52, 30640, 18, 27908, 1130, 17187, 19753, 2034, 7825, 3238, 1009, 26062, 1912, 5820, 32, 4545, 1005, 10893, 20, 27198, 12204, 1009, 18730, 17885, 2828, 1009, 1764, 4989, 8438, 1009, 3237, 6405, 1411, 14911, 1005, 7564, 14047, 1273, 1764, 4989, 4152, 3818, 27224, 1257, 4665, 8475, 1916, 13533, 17667, 8475, 89, 37, 2090, 6125, 27, 48, 49, 25, 13516, 60, 57, 85, 41, 12, 11269, 35, 14212, 4994, 12, 82, 11269, 35, 14212, 4994, 12, 74, 87, 35, 1065, 1038, 11, 41, 13201, 40, 25, 14587, 12, 89, 7179, 35, 1245, 12, 27248, 35, 52, 76, 39, 93, 1252, 23, 53, 22, 45, 12, 89, 1122, 35, 55, 28, 25684, 82, 48, 82, 26, 95, 24552, 12275, 54, 94, 72, 87, 26044, 15949, 55, 22, 71, 56, 64, 77, 12, 12084, 35, 1722, 4314, 56, 12, 1352, 35, 62, 12, 16180, 35, 22, 9052, 59, 30687, 29494, 59, 82, 51, 49, 39, 87, 30, 42, 15555, 78, 61, 41, 81, 86, 39, 49, 25632, 61, 54, 40, 3541, 55, 28, 39, 5794, 55, 5250, 44, 9, 92, 35, 2578, 20538, 12, 87, 35, 1065, 1038, 11, 41, 13201, 40, 25, 14587, 12, 76, 35, 10563, 1117, 5, 11612, 3082, 1219, 3624, 3336, 9231, 21, 1051, 12321, 11612, 83, 73, 84, 72, 1047, 23818, 4177, 6575, 5594, 1047, 21, 1136, 6487, 3094, 37, 7664, 35, 75, 30058, 4974, 3577, 2341, 5, 4665, 8475, 1916, 13533, 17667, 8475, 89, 37, 2090, 86, 96, 49, 85, 41, 77, 10766, 55, 7231, 48, 12, 11269, 35, 22348, 3876, 31, 12, 82, 11269, 35, 22348, 3876, 31, 12, 74, 87, 35, 39, 1037, 88, 11, 41, 13201, 40, 25, 3277, 12, 89, 7179, 35, 1245, 12, 27248, 35, 80, 73, 27, 51, 44, 96, 92, 45, 24, 59, 12, 89, 1122, 35, 78, 44, 1020, 52, 54, 25374, 96, 59, 88, 60, 59, 74, 26, 88, 21362, 93, 83, 64, 92, 41, 24673, 4325, 12, 12084, 35, 1722, 4314, 56, 12, 1352, 35, 62, 12, 16180, 35, 22, 9052, 59, 30687, 93, 80, 25297, 19, 87, 5659, 42, 15555, 78, 61, 48, 46, 27, 39, 49, 46, 60, 86, 7635, 76, 63, 55, 28, 39, 5794, 54, 96, 39, 46, 9, 92, 35, 2578, 20538, 12, 87, 35, 39, 1037, 88, 11, 41, 13201, 40, 25, 3277, 12, 76, 35, 10563, 1117, 5, 5622, 89, 1046, 1212, 2223, 1352, 2914, 14238, 1117, 8475, 1916, 8280, 3755, 19735, 5988, 2830, 4990, 2721, 5402, 6101, 6582, 13821, 69, 27, 3452, 5003, 3006, 25104, 5, 11612, 90, 4411, 14839, 3158, 1041, 21, 1447, 6430, 14108, 21, 3624, 1038, 14829, 79, 12292, 1105, 6345, 1544, 1060, 13221, 23551, 1, 4378, 1096, 1094, 2919, 1009, 2804, 4430, 1049, 3338, 1009, 5683, 16800, 24495, 1138, 3338, 1009, 5683, 16800, 1052, 1195, 22579, 1357, 4338, 4708, 1495, 1083, 1009, 3353, 1009, 5614, 2443, 1511, 1195, 6754, 1006, 7029, 1037, 1272, 5464, 18, 3959, 1077, 4682, 1026, 21727, 1049, 8346, 13292, 1138, 7029, 1037, 1091, 5464, 1516, 3610, 1009, 1044, 19292, 1048, 3475, 1006, 5944, 3256, 1371, 9094, 2373, 19881, 2806, 4324, 1006, 2323, 1009, 1782, 1009, 3353, 1009, 29157, 11402, 1148, 1037, 1452, 1495, 1026, 1901, 1009, 29831, 1537, 8816, 4460, 12534, 20904, 1009, 29570, 1196, 1479, 1788, 1037, 1091, 1009, 5614, 28, 1006, 5614, 30, 18515, 1027, 24526, 1009, 26681, 1479, 1788, 1037, 1091, 1009, 5614, 30, 1006, 31621, 3341, 17112, 5296, 1526, 14413, 1479, 1788, 1037, 1091, 1009, 31621, 1006, 22007, 18249, 3809, 31568, 1009, 29570, 1196, 1479, 1788, 1037, 1091, 1009, 22007, 1006, 4658, 23, 20326, 2253, 1119, 3362, 11794, 1076, 1479, 1788, 1037, 1091, 1009, 4658, 23, 1006, 4658, 24, 18249, 3809, 31568, 1009, 29570, 1196, 1479, 1788, 1037, 1091, 1009, 4658, 24, 1006, 4658, 25, 1797, 9718, 3381, 1009, 12216, 22534, 1479, 1788, 1037, 1091, 1009, 4658, 25, 1006, 30595, 3564, 6410, 1577, 14563, 1479, 1788, 1037, 1091, 1009, 30595, 1006, 29831, 1691, 14470, 1017, 18779, 31568, 1009, 12216, 22534, 1479, 1788, 1037, 1091, 1009, 29831, 1006, 29157, 3160, 1013, 4430, 15956, 1357, 4338, 4708, 1495, 1026, 1901, 1009, 13144, 12683, 14470, 1017, 18779, 31568, 1009, 12216, 22534, 1175, 29157, 1006, 29065, 24861, 14024, 20567, 11721, 1479, 25665, 1006, 21124, 1691, 14470, 1017, 10754, 1047, 11396, 1009, 11369, 1479, 23035, 1006, 25470, 23532, 3779, 1009, 11369, 1479, 22653, 1006, 13144, 2503, 2459, 11377, 26894, 1060, 5827, 13050, 1479, 8149, 9062, 9457, 2721, 1006, 2595, 10867, 9457, 5940, 3160, 1013, 4430, 22565, 1206, 1057, 1474, 9698, 1229, 1006, 2323, 1009, 13144, 1495, 20890, 14887, 2459, 23641, 5296, 1526, 14413, 1479, 2595, 10867, 9457, 5940, 1006, 2182, 10913, 9457, 5940, 2503, 2459, 14984, 5683, 1347, 1009, 12216, 1479, 2182, 10913, 9457, 5940, 1006, 10479, 10993, 9457, 5784, 1940, 1885, 2390, 23295, 10499, 1479, 10479, 10993, 9457, 5784, 1006, 10479, 7447, 9457, 5784, 1691, 14470, 1017, 30328, 1468, 31445, 10767, 1479, 10479, 7447, 9457, 5784, 1006, 2523, 7447, 9457, 5784, 1940, 1885, 2390, 23295, 10499, 1479, 2523, 7447, 9457, 5784, 1006, 1204, 9062, 9457, 5784, 2503, 2459, 23641, 5296, 1526, 14413, 1479, 1204, 9062, 9457, 5784, 1006, 8260, 10867, 9457, 4406, 1797, 1120, 8645, 12335, 1187, 5751, 1479, 8260, 10867, 9457, 4406, 1006, 3404, 10714, 9457, 4406, 1383, 1590, 0, 1142, 2162, 1730, 11312, 20278, 2796, 1014, 2152, 1029, 1479, 3404, 10714, 9457, 4406, 1006, 3939, 10137, 9457, 4990, 1383, 1590, 0, 4242, 2834, 1009, 12113, 16668, 1479, 3939, 10137, 9457, 4990, 1006, 9842, 10993, 9457, 4673, 3341, 17112, 3512, 1073, 7282, 1479, 9842, 10993, 9457, 4673, 1006, 9801, 10137, 9457, 4994, 2503, 2459, 3236, 1009, 25729, 24465, 2059, 1479, 9801, 10137, 9457, 4994, 1006, 9801, 10714, 9457, 4994, 3341, 17112, 3512, 1073, 7282, 1479, 9801, 10714, 9457, 4994, 1006, 2182, 10993, 9457, 5963, 18249, 1051, 1017, 8025, 2841, 1479, 2182, 10993, 9457, 5963, 1006, 3295, 10867, 9457, 3949, 2503, 2459, 1983, 2253, 26545, 1563, 1009, 12113, 21075, 1479, 3295, 10867, 9457, 3949, 1006, 3186, 8674, 9457, 4368, 2503, 2459, 6318, 1009, 24526, 25140, 29454, 1479, 3186, 8674, 9457, 4368, 1006, 1204, 9062, 9457, 4368, 2503, 2459, 1983, 2253, 26545, 1563, 1009, 12113, 21075, 1479, 1204, 9062, 9457, 4368, 1006, 3727, 10867, 9457, 6259, 18515, 1027, 15055, 1009, 29570, 1196, 1479, 8584, 10579, 9457, 6259, 1006, 8584, 10579, 9457, 5871, 2503, 2459, 18786, 1188, 1009, 13755, 1479, 8584, 10579, 9457, 5871, 1006, 1782, 10913, 9457, 5871, 2503, 2459, 3236, 1187, 5751, 1479, 1782, 10913, 9457, 5871, 1006, 8260, 10137, 9457, 5871, 2503, 2459, 18786, 1188, 1009, 13755, 1479, 8260, 10137, 9457, 5871, 1006, 2595, 10137, 9457, 5871, 2503, 1017, 3216, 11396, 1479, 2595, 10137, 9457, 5871, 1006, 8584, 10867, 9457, 6507, 3160, 1013, 4430, 15956, 1356, 4113, 1006, 2323, 1009, 1083, 1009, 2992, 1009, 30075, 2966, 1026, 3633, 1005, 1132, 1057, 1731, 1478, 6108, 1318, 1257, 4338, 4708, 1009, 5683, 16800, 1052, 1110, 3367, 1007, 16800, 1052, 1, 1138, 6670, 2345, 11516, 1009, 26997, 2645, 2053, 15, 1096, 1044, 11650, 1009, 13971, 1147, 5447, 1356, 4813, 1060, 5027, 1054, 9861, 2290, 10129, 2769, 1009, 10949, 1071, 26626, 3828, 1349, 1068, 17751, 1006, 5660, 25467, 14762, 3925, 12311, 1026, 7228, 1365, 1006, 14486, 3656, 3267, 1005, 1235, 15424, 1138, 7915, 1058, 31553, 1213, 18687, 1233, 15103, 1233, 6894, 1005, 1233, 8568, 1009, 3425, 14486, 30258, 1009, 29753, 13574, 1009, 2935, 26144, 2328, 1009, 2476, 1993, 8557, 1009, 3480, 1726, 3235, 1009, 1752, 1044, 5473, 28381, 1060, 5660, 1049, 18280, 1005, 1224, 6446, 7412, 1178, 10239, 1140, 1068, 3398, 26990, 2277, 4789, 1263, 1009, 5774, 4607, 7347, 1068, 1752, 2446, 1009, 2451, 25759, 3133, 4173, 1049, 7915, 1058, 3765, 2328, 1060, 3088, 25560, 13118, 2636, 1028, 0, 1422, 2471, 1009, 2475, 1009, 3113, 1009, 17451, 1551, 2303, 1043, 1026, 2859, 1422, 0, 3960, 30109, 1006, 7680, 41, 3828, 3040, 7195, 1054, 28361, 1672, 1072, 1831, 14299, 1009, 1752, 7757, 6006, 1672, 1043, 2068, 1114, 1224, 13674, 24737, 1896, 1005, 29397, 1026, 2161, 3225, 1049, 6670, 2345, 11516, 1009, 1123, 14578, 1992, 1159, 1132, 11278, 8008, 1068, 1006, 1572, 1262, 1627, 7461, 1005, 14223, 1009, 7685, 1187, 3480, 1006, 4207, 8078, 1402, 1114, 1871, 1009, 3790, 3098, 9596, 1972, 1006, 14608, 1049, 28733, 2037, 2265, 1371, 1026, 4818, 1271, 16385, 7441, 1463, 11340, 3685, 1242, 1049, 6402, 2966, 1026, 1557, 1009, 8568, 1005, 1132, 3408, 13264, 1166, 1043, 1006, 5641, 1009, 17800, 1175, 16577, 1527, 1236, 1495, 4984, 1009, 2992, 1049, 1901, 1009, 18187, 18, 2277, 3088, 25560, 13118, 2636, 1028, 0, 1799, 3006, 8886, 3536, 1049, 7915, 2265, 1124, 16385, 14486, 30258, 1048, 6011, 4711, 4678, 1006, 2323, 1009, 2224, 3952, 7767, 1213, 1531, 2595, 1009, 3113, 1049, 1901, 1009, 5231, 1658, 3088, 25560, 13118, 2636, 1028, 0, 1422, 2471, 1048, 1757, 1026, 7915, 18, 9846, 4320, 6828, 6476, 1213, 2729, 1049, 4248, 3251, 2089, 3088, 1237, 1161, 13118, 3795, 1596, 18503, 1068, 1668, 2822, 32, 1028, 0, 1675, 2084, 1054, 8683, 1028, 0, 1779, 2400, 1054, 7624, 1028, 0, 1799, 2443, 1054, 7905, 1028, 0, 1799, 2534, 1054, 6796, 1005, 1028, 0, 2475, 2443, 1054, 14793, 15460, 5241, 2271, 25109, 1322, 2688, 3235, 1693, 6098, 1187, 19401, 1102, 1495, 1159, 1976, 8347, 1026, 4789, 1263, 1009, 1535, 4991, 1627, 1048, 10013, 1026, 3957, 1009, 3638, 1463, 2688, 1132, 3480, 1049, 6859, 1693, 1178, 2278, 1402, 1879, 7915, 2569, 1235, 1831, 17982, 3941, 1054, 9861, 1043, 2161, 1009, 18187, 1009, 2824, 6013, 3487, 1999, 25302, 9949, 1006, 1178, 21541, 1009, 2596, 5580, 8194, 1365, 1124, 3235, 6594, 1136, 4525, 1009, 2303, 1043, 1026, 14692, 1114, 3088, 25560, 13118, 2636, 1028, 0, 1422, 2567, 1482, 2252, 1124, 11012, 18, 23405, 1075, 2923, 1044, 2161, 6460, 1068, 1026, 6859, 1114, 4783, 1009, 2451, 11662, 1007, 33, 1054 ]

[ 74, 26838, 1071, 1063, 8620, 9061, 23260, 6795, 32, 2045, 29017, 95, 13168, 1253, 5961, 5515, 32, 1106, 1459, 2186, 16009, 2629, 5961, 10703, 32, 1313, 1035, 1590, 1504, 1123, 3626, 3436, 9657, 29997, 8121, 32, 14297, 19622, 1009, 9159, 3275, 8153, 4271, 79, 1828, 3139, 8008, 23260, 7157, 32, 6339, 1313, 2914, 3824, 1409, 2186, 2343, 1593, 13397, 1009, 17752, 4808, 2346, 24149, 1005, 9159, 14469, 4271, 79, 1828, 3139, 8008, 23260, 5402, 32, 5256, 14905, 4523, 1009, 18757, 25952, 1071, 1140, 86, 2583, 23260, 5871, 32, 19774, 76, 1336, 1009, 12117, 1119, 4591, 90, 2461, 81, 1071, 1140, 86, 2583, 1060, 11315, 2045, 1106, 9917, 14074, 78, 3841, 14618, 2310, 13568, 5070, 4833, 11167, 1423, 1175, 27781, 8461, 14550, 89, 21169, 26541, 5122, 1458, 1018, 7849, 1699, 14723, 1187, 2138, 2365, 3141, 1252, 4703, 1573, 1187, 2138, 2365, 5168, 26056, 1009, 6450, 1187, 2138, 2365, 5, 139, 31405, 1009, 1853, 10585, 22895, 1797, 1699, 14723, 20978, 1043, 1026, 5569, 1759, 3551, 16416, 1072, 9396, 89, 2262, 21172, 8831, 1062, 1040, 3685, 95, 6577, 1009, 25270, 2069, 2645, 1219, 13107, 5213, 15, 1, 1063, 5678, 2342, 162, 1140, 1009, 5874, 1195, 5191, 1054, 26974, 1009, 13271, 16781, 4573, 1365, 1307, 1005, 2523, 1009, 9350, 1009, 22820, 1063, 12779, 1009, 6222, 1195, 5191, 1072, 8222, 3514, 1483, 3242, 1171, 7238, 7177, 16265, 1035, 1009, 13770, 1096, 1094, 2919, 1048, 27798, 1124, 17551, 2765, 27515, 1009, 19924, 2342, 11263, 5469, 4826, 22351, 1009, 2303, 1043, 1026, 2285, 1009, 13770, 4311, 5010, 1138, 1908, 1054, 6522, 1096, 1026, 20583, 1027, 3242, 1085, 8747, 11191, 12690, 1596, 1124, 19743, 4651, 5010, 1766, 5891, 1365, 1415, 159, 1347, 1018, 12489, 1026, 2285, 1009, 4203, 1009, 1752, 13451, 2083, 6666, 1602, 20949, 16153, 19743, 3750, 20949, 7100, 1177, 14189, 15, 1327, 18351, 1357, 8955, 4594, 1049, 11047, 22494, 4015, 2870, 30978, 2170, 17808, 10996, 4661, 1114, 24562, 5464, 1060, 1134, 2870, 19708, 1581, 1040, 1068, 2252, 1124, 2342, 162, 1312, 1009, 5874, 1113, 1257, 1257, 1257, 1537, 1257, 1257, 1537, 1257, 1257, 2003, 99, 3436, 86, 4743, 16153, 19743, 2064, 4743, 1327, 18351, 1357, 8955, 2769, 1009, 19924, 2342, 11263, 5469, 5362, 8275, 19079, 17551, 7884, 1175, 1144, 4826, 22351, 1049, 1908, 3361, 1348, 3800, 1318, 1257, 2342, 162, 1140, 5, 8955, 4594, 1049, 11047, 22494, 4015, 2870, 59, 14618, 2310, 1257, 1257, 1537, 11191, 16033, 3743, 2401, 1520, 1727, 1009, 5855, 1691, 1676, 1609, 1, 30696, 2174, 3921, 2955, 7321, 1076, 4045, 2440, 6036, 3047, 12922, 1782, 1009, 3353, 1009, 22048, 1479, 15429, 1803, 1204, 1009, 3042, 1009, 4161, 1349, 3201, 1159, 1180, 6551, 2955, 51, 1252, 1076, 1005, 1318, 9459, 5114, 1009, 7426, 21852, 94, 16097, 8, 1005, 7426, 1123, 1165, 1253, 16097, 1406, 1195, 1044, 30572, 1348, 8367, 20, 3126, 6635, 5178, 1114, 4783, 5862, 6571, 1890, 1083, 1901, 1005, 1779, 16787, 3735, 7035, 1026, 3479, 1187, 2169, 4261, 14146, 1068, 1132, 2191, 19, 5312, 1166, 1309, 1160, 9048, 8811, 3770, 8168, 5299, 1091, 1009, 15081, 4971, 17881, 675, 5810, 1072, 5603, 1049, 21852, 6036, 1054, 3047, 12922, 1005, 2845, 1006, 10557, 30572, 1620, 1493, 13438, 1511, 1235, 3372, 1026, 2521, 10557, 1043, 3978, 1060, 12820, 1068, 675, 7383, 1337, 1187, 8581, 1554, 1482, 30338, 1679, 1204, 2864, 1264, 2845, 1006, 10557, 30572, 3467, 1250, 5339, 26330, 11753, 17886, 30611, 20534, 1349, 1204, 26739, 1005, 1422, 11870, 1400, 2955, 51, 1252, 1076, 1195, 1026, 1831, 2792, 1006, 8900, 1982, 1645, 9159, 15575, 7429, 8264, 1094, 26733, 1048, 9643, 1034, 4234, 12697, 19054, 14858, 2200, 1195, 18905, 1118, 18310, 1009, 19434, 1054, 1094, 9348, 1068, 23671, 3650, 5953, 20324, 675, 9838, 10262, 1261, 8630, 1009, 8208, 1068, 5587, 26174, 1043, 1006, 2716, 2069, 20, 17615, 1187, 1686, 2707, 1400, 2955, 51, 1252, 1076, 1516, 675, 3201, 1159, 1044, 2792, 3746, 1147, 1159, 4277, 1026, 2403, 1322, 1224, 5297, 675, 1005, 1118, 4320, 2624, 22429, 1379, 1224, 7391, 675, 12561, 1060, 30103, 1411, 1264, 15317, 2088, 23865, 1005, 10558, 6159, 1005, 30263, 20, 15998, 2433, 1054, 1184, 1009, 1984, 19253, 2966, 2045, 1207, 1432, 16751, 1043, 2976, 3399, 9332, 1054, 1048, 16876, 1026, 2696, 1133, 1964, 18581, 2042, 10558, 2403, 7728, 1118, 7612, 5377, 10040, 4201, 1005, 16885, 1118, 5542, 1551, 1144, 2060, 20, 1138, 10872, 1128, 5701, 1156, 10089, 1629, 1096, 6934, 1114, 29217, 6652, 1009, 2955, 51, 1252, 2528, 3806, 1123, 1165, 1253, 16097, 32, 5256, 1809, 1017, 3965, 5542, 1551, 1144, 2060, 4244, 1517, 1079, 3734, 29858, 1068, 16145, 1180, 6551, 2955, 51, 1252, 1076, 1846, 1060, 16167, 2893, 1087, 1019, 1091, 1986, 1006, 30103, 1411, 1180, 6551, 2955, 51, 1252, 1076, 1195, 1465, 1100, 7035, 1044, 3419, 1005, 6321, 2539, 4106, 1322, 1224, 3560, 1005, 1569, 12697, 1043, 1982, 1645, 9159, 29730, 3818, 2310, 27204, 3092, 1175, 24378, 8102, 1671, 19846, 1009, 14045, 11084, 1576, 2507, 1061, 1573, 24505, 19, 5312, 1166, 1576, 2507, 1061, 1573, 1187, 2138, 2365, 6577, 1009, 3047, 11601, 3995, 1149, 11781, 1065, 23563, 1187, 2138, 2365, 24952, 1187, 2138, 2365, 22728, 1187, 2138, 2365, 1, 1144, 8915, 1017, 1031, 1236, 1096, 1094, 4272, 1009, 6941, 5513, 1449, 3342, 1049, 1427, 85, 1142, 1017, 1031, 1174, 1153, 3110, 1046, 27657, 2324, 8915, 1017, 1031, 5524, 24309, 1219, 3933, 13135, 1576, 1763, 1061, 1017, 1031, 5524, 30136, 77, 2914, 1005, 24309, 1219, 3933, 11233, 9660, 5, 5488, 2960, 12276, 1409, 1570, 1699, 28466, 1175, 1144, 8915, 1017, 1031, 1236, 19275, 1017, 1031, 1174, 1153, 1, 1063, 7022, 1187, 19924, 1009, 21049, 1214, 2569, 85, 6072, 1009, 3175, 2052, 1422, 30415, 1054, 1094, 1238, 158, 71, 1009, 1487, 3211, 25302, 2621, 7360, 18105, 1071, 2567, 28, 9949, 2621, 1025, 4681, 1009, 2490, 1025, 2575, 1114, 1641, 23667, 8354, 1054, 21049, 7866, 1294, 25128, 2502, 30744, 11110, 1063, 1641, 1096, 1009, 25209, 4261, 1680, 1159, 4306, 6486, 5609, 10433, 2034, 6316, 9040, 1596, 4745, 6397, 9107, 1009, 18002, 13295, 1783, 29761, 1048, 21049, 1214, 9090, 1663, 1094, 2481, 8083, 1068, 7522, 1787, 1132, 3945, 5175, 1009, 5874, 1009, 6747, 1309, 21049, 1214, 2598, 7217, 1094, 5576, 1658, 21049, 1214, 1683, 22071, 1096, 1006, 4539, 6600, 8349, 3019, 2743, 1068, 7679, 28847, 1658, 90, 2765, 3367, 7022, 1187, 19924, 1009, 21049, 7866, 1976, 11526, 1132, 4496, 16625, 13143, 1727, 2083, 13372, 1006, 2751, 3023, 23667, 4597, 1675, 16112, 1351, 10245, 1044, 9988, 3743, 4528, 1018, 15288, 1213, 1238, 29310, 3204, 9988, 2177, 3778, 1068, 24052, 5120, 15108, 1968, 5624, 15172, 3246, 1005, 20488, 4387, 1059, 5001, 2262, 1009, 5132, 5624, 2509, 1043, 21634, 2621, 21926, 1059, 2858, 14207, 17531, 1043, 27655, 21926, 1059, 2858, 9988, 1009, 4717, 14065, 1043, 1487, 6435, 21926, 20, 1138, 675, 9988, 5544, 3823, 1094, 2068, 1068, 1026, 11844, 1009, 4717, 14065, 1187, 1084, 39, 59, 1005, 1006, 7299, 1009, 4717, 14065, 19926, 1138, 12060, 1009, 4717, 14065, 1096, 11073, 1072, 24005, 1060, 7299, 1060, 7022, 1187, 19924, 1009, 3161, 5178, 1005, 4351, 2317, 4199, 1068, 9551, 12977, 83, 1166, 6842, 1005, 24895, 1063, 7299, 1009, 4717, 14065, 3747, 1096, 1006, 1944, 7442, 1009, 1235, 2446, 1054, 2073, 2269, 1049, 7118, 19163, 1009, 1094, 5966, 1365, 1006, 7022, 1187, 19924, 1009, 21049, 1214, 75, 1005, 1060, 8955, 4594, 1207, 8243, 10277, 1006, 7299, 1009, 4717, 14065, 3747, 5544, 15194, 1044, 13490, 1213, 1184, 3910, 3319, 3467, 1009, 1172, 8243, 10277, 1994, 2537, 1166, 3798, 5783, 2653, 1187, 2688, 2643, 1132, 1456, 3825, 29767, 1114, 29305, 4750, 1879, 9885, 5544, 7243, 1318, 1044, 3428, 1009, 29101, 1043, 1578, 5594, 1154, 3025, 30505, 1118, 16725, 1434, 2231, 89, 28141, 24282, 5868, 2128, 1009, 8814, 1009, 3917, 1044, 30259, 1195, 12567, 10041, 1043, 1026, 24164, 6540, 1054, 3456, 1394, 1043, 1026, 3399, 10641, 1108, 7580, 1005, 1026, 4527, 1348, 14401, 18238, 4190, 21506, 1356, 4346, 16492, 2286, 2971, 1009, 3042, 1009, 7624, 1026, 6120, 1009, 5132, 5624, 2509, 1049, 22135, 12132, 1044, 2303, 1009, 1307, 1646, 2303, 1068, 2710, 1138, 20785, 89, 1114, 7022, 1187, 19924, 1009, 21049, 1214, 31122, 3296, 2310, 6108, 1318, 7849, 3744, 1237, 1161, 13143, 2897, 1187, 25128, 2502, 30744, 2365, 2503, 1529, 1214, 1, 4523, 92, 1577, 5196, 1226, 4419, 1292, 31461, 13140, 5614, 27, 1479, 14844, 2454, 7375, 1195, 1044, 4868, 21466, 1005, 15044, 4971, 14093, 2494, 13117, 1235, 2011, 1195, 4947, 1118, 2653, 1159, 1094, 9438, 1213, 25465, 1876, 8861, 4418, 7068, 20966, 1356, 5428, 19554, 12709, 2673, 5148, 1007, 1297, 1069, 1054, 9976, 1357, 2828, 1009, 4111, 1081, 4385, 1365, 16718, 1005, 27194, 1195, 4868, 1009, 6365, 1060, 20568, 4208, 2828, 1009, 13319, 5949, 26574, 1069, 8394, 1233, 8928, 1009, 21927, 1163, 8007, 1324, 1235, 8299, 15605, 1072, 9104, 1049, 25465, 1876, 1005, 1060, 2706, 20110, 1145, 11084, 1094, 3621, 3462, 1005, 1717, 1006, 10419, 6097, 4289, 21051, 1294, 1646, 10321, 1356, 1184, 12479, 1187, 1456, 20985, 4782, 1047, 2346, 2629, 16360, 2893, 8933, 4419, 1292, 1195, 16225, 1233, 9130, 1049, 7822, 5529, 1072, 1428, 1516, 11782, 1981, 2271, 29041, 1005, 19244, 1235, 1720, 2551, 2898, 1463, 14830, 1049, 1386, 4457, 3316, 10474, 6407, 1049, 1235, 8299, 1096, 1006, 7507, 1009, 1094, 19706, 20279, 1072, 5239, 4577, 1291, 2378, 22053, 3425, 11188, 88, 5803, 1049, 1163, 2361, 5735, 6649, 1159, 1044, 6644, 14433, 1059, 13, 56, 1079, 5478, 2363, 1005, 24979, 13, 1005, 11063, 4983, 4392, 3818, 2310, 1257, 1257, 11381, 1061, 9820, 12506, 1060, 6512, 17612, 94, 1573, 4093, 1146, 1573, 1060, 6512, 17647, 1054, 14292, 14423, 1060, 2828, 1009, 4111, 15465, 1, 1924, 1120, 10368, 13163, 1298, 25597, 2083, 1924, 1120, 10368, 13163, 1175, 1641, 1213, 17066, 1009, 16193, 1126, 3861, 1060, 5704, 31636, 1549, 5, 1924, 1120, 10368, 13163, 21742, 1175, 5704, 1009, 18596, 5, 23460, 1009, 1924, 1120, 10368, 13163, 1175, 28984, 1213, 3821, 1060, 6140, 1009, 16193, 1126, 22324, 1679, 2138, 2365, 1159, 6500, 20849, 1054, 4658, 25, 1054, 7160, 1049, 5496, 1009, 31695, 4705, 9697, 1118, 1901, 5, 12848, 23041, 1060, 23460, 1009, 1924, 1120, 10368, 13163, 1175, 9255, 1049, 7433, 9046, 2594, 1312, 1114, 28984, 5, 2677, 2063, 1009, 1924, 1120, 10368, 13163, 1175, 3428, 1009, 2500, 2101, 1009, 22777, 7769, 9046, 5062, 1114, 2068, 20849, 5, 1924, 1120, 10368, 13163, 1175, 5187, 1060, 3688, 5092, 8793, 1689, 1049, 14551, 1214, 1803, 7982, 1159, 1006, 5994, 6116, 1049, 5804, 22875, 1207, 4142, 85, 5600, 1054, 3383, 1009, 4187, 5, 1924, 1120, 10368, 13163, 1175, 5187, 1049, 2417, 21391, 14630, 1009, 5065, 19, 7971, 3422, 3309, 4396, 6108, 15067, 1924, 1120, 1056, 1046, 1153, 30707, 1, 1063, 15148, 1060, 1082, 1517, 23948, 1096, 1044, 1187, 14823, 7878, 1060, 5007, 1060, 1082, 1517, 168, 15834, 1094, 23706, 2063, 1060, 8955, 26724, 20, 3126, 16134, 1356, 13740, 1060, 5007, 1009, 2595, 1009, 3261, 1009, 8925, 21630, 10559, 1418, 10516, 9165, 1054, 1044, 1745, 9844, 1043, 17412, 8759, 19, 2632, 5518, 1009, 6480, 25, 13831, 1054, 2125, 8696, 15019, 1102, 1463, 5281, 25473, 6548, 1005, 6658, 1114, 17412, 1009, 1083, 21, 2471, 1083, 13952, 1005, 1083, 21, 2471, 20791, 1776, 3709, 1060, 6755, 1837, 1044, 7196, 7155, 1213, 5413, 1114, 15148, 1060, 1228, 74, 83, 175, 4364, 1034, 3313, 9213, 2404, 3705, 7196, 1072, 3709, 1060, 6755, 20620, 1009, 1044, 7196, 11457, 6603, 5281, 1060, 6755, 1318, 15022, 1026, 4308, 1060, 6755, 1060, 3364, 1187, 3825, 1049, 8100, 16563, 1005, 1060, 6755, 1060, 7500, 1680, 1159, 1009, 2739, 1009, 1569, 23706, 1020, 5247, 1206, 4473, 9480, 1124, 5281, 6459, 11216, 13004, 11994, 1048, 1327, 1026, 25473, 3057, 2535, 19966, 27042, 6410, 1524, 1599, 1026, 6548, 1005, 1026, 6658, 3242, 1517, 23948, 1691, 1517, 23948, 1, 4378, 1096, 1094, 2919, 1271, 14196, 16247, 1048, 2472, 83, 1114, 24971, 3316, 7298, 14916, 1096, 1094, 2451, 1048, 25924, 1783, 1206, 19587, 12552, 5496, 20, 10003, 1206, 1155, 10460, 14598, 1068, 28386, 1026, 5407, 20, 6779, 1016, 6880, 1009, 14196, 16247, 1327, 1124, 10142, 14196, 16247, 1009, 4885, 6072, 1005, 14196, 16247, 1413, 1218, 1014, 5339, 86, 1489, 1242, 16247, 15475, 14526, 86, 1489, 1242, 16247, 1009, 7747, 14526, 86, 1489, 1242, 16247, 1413, 1218, 1014, 14526, 86, 1489, 1242, 1006, 1281, 1016, 29971, 24519, 1, 16758, 1012, 4568, 17864, 96, 2645, 1024, 2255, 675, 1711, 10727, 6190, 1195, 1044, 21137, 5976, 13737, 1375, 1418, 1006, 16716, 19495, 1678, 1357, 13956, 1060, 6704, 1271, 3956, 1887, 10583, 1302, 1079, 11848, 1114, 5411, 13118, 1029, 8676, 1009, 7083, 1005, 26236, 2923, 1054, 21334, 1114, 2828, 1009, 1338, 1170, 12708, 20, 28408, 5396, 1026, 15655, 1876, 1060, 6704, 1271, 3956, 1887, 4108 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 74, 26838, 1071, 1063, 8620, 9061, 23260, 6795, 32, 2045, 29017, 95, 13168, 1253, 5961, 5515, 32, 1106, 1459, 2186, 16009, 2629, 5961, 10703, 32, 1313, 1035, 1590, 1504, 1123, 3626, 3436, 9657, 29997, 8121, 32, 14297, 19622, 1009, 9159, 3275, 8153, 4271, 79, 1828, 3139, 8008, 23260, 7157, 32, 6339, 1313, 2914, 3824, 1409, 2186, 2343, 1593, 13397, 1009, 17752, 4808, 2346, 24149, 1005, 9159, 14469, 4271, 79, 1828, 3139, 8008, 23260, 5402, 32, 5256, 14905, 4523, 1009, 18757, 25952, 1071, 1140, 86, 2583, 23260, 5871, 32, 19774, 76, 1336, 1009, 12117, 1119, 4591, 90, 2461, 81, 1071, 1140, 86, 2583, 1060, 11315, 2045, 1106, 9917, 14074, 78, 3841, 14618, 2310, 13568, 5070, 4833, 11167, 1423, 1175, 27781, 8461, 14550, 89, 21169, 26541, 5122, 1458, 1018, 7849, 1699, 14723, 1187, 2138, 2365, 3141, 1252, 4703, 1573, 1187, 2138, 2365, 5168, 26056, 1009, 6450, 1187, 2138, 2365, 5, 139, 31405, 1009, 1853, 10585, 22895, 1797, 1699, 14723, 20978, 1043, 1026, 5569, 1759, 3551, 16416, 1072, 9396, 89, 2262, 21172, 8831, 1062, 1040, 3685, 95, 6577, 1009, 25270, 2069, 2645, 1219, 13107, 5213, 15, 1, 1063, 5678, 2342, 162, 1140, 1009, 5874, 1195, 5191, 1054, 26974, 1009, 13271, 16781, 4573, 1365, 1307, 1005, 2523, 1009, 9350, 1009, 22820, 1063, 12779, 1009, 6222, 1195, 5191, 1072, 8222, 3514, 1483, 3242, 1171, 7238, 7177, 16265, 1035, 1009, 13770, 1096, 1094, 2919, 1048, 27798, 1124, 17551, 2765, 27515, 1009, 19924, 2342, 11263, 5469, 4826, 22351, 1009, 2303, 1043, 1026, 2285, 1009, 13770, 4311, 5010, 1138, 1908, 1054, 6522, 1096, 1026, 20583, 1027, 3242, 1085, 8747, 11191, 12690, 1596, 1124, 19743, 4651, 5010, 1766, 5891, 1365, 1415, 159, 1347, 1018, 12489, 1026, 2285, 1009, 4203, 1009, 1752, 13451, 2083, 6666, 1602, 20949, 16153, 19743, 3750, 20949, 7100, 1177, 14189, 15, 1327, 18351, 1357, 8955, 4594, 1049, 11047, 22494, 4015, 2870, 30978, 2170, 17808, 10996, 4661, 1114, 24562, 5464, 1060, 1134, 2870, 19708, 1581, 1040, 1068, 2252, 1124, 2342, 162, 1312, 1009, 5874, 1113, 1257, 1257, 1257, 1537, 1257, 1257, 1537, 1257, 1257, 2003, 99, 3436, 86, 4743, 16153, 19743, 2064, 4743, 1327, 18351, 1357, 8955, 2769, 1009, 19924, 2342, 11263, 5469, 5362, 8275, 19079, 17551, 7884, 1175, 1144, 4826, 22351, 1049, 1908, 3361, 1348, 3800, 1318, 1257, 2342, 162, 1140, 5, 8955, 4594, 1049, 11047, 22494, 4015, 2870, 59, 14618, 2310, 1257, 1257, 1537, 11191, 16033, 3743, 2401, 1520, 1727, 1009, 5855, 1691, 1676, 1609, 1, 30696, 2174, 3921, 2955, 7321, 1076, 4045, 2440, 6036, 3047, 12922, 1782, 1009, 3353, 1009, 22048, 1479, 15429, 1803, 1204, 1009, 3042, 1009, 4161, 1349, 3201, 1159, 1180, 6551, 2955, 51, 1252, 1076, 1005, 1318, 9459, 5114, 1009, 7426, 21852, 94, 16097, 8, 1005, 7426, 1123, 1165, 1253, 16097, 1406, 1195, 1044, 30572, 1348, 8367, 20, 3126, 6635, 5178, 1114, 4783, 5862, 6571, 1890, 1083, 1901, 1005, 1779, 16787, 3735, 7035, 1026, 3479, 1187, 2169, 4261, 14146, 1068, 1132, 2191, 19, 5312, 1166, 1309, 1160, 9048, 8811, 3770, 8168, 5299, 1091, 1009, 15081, 4971, 17881, 675, 5810, 1072, 5603, 1049, 21852, 6036, 1054, 3047, 12922, 1005, 2845, 1006, 10557, 30572, 1620, 1493, 13438, 1511, 1235, 3372, 1026, 2521, 10557, 1043, 3978, 1060, 12820, 1068, 675, 7383, 1337, 1187, 8581, 1554, 1482, 30338, 1679, 1204, 2864, 1264, 2845, 1006, 10557, 30572, 3467, 1250, 5339, 26330, 11753, 17886, 30611, 20534, 1349, 1204, 26739, 1005, 1422, 11870, 1400, 2955, 51, 1252, 1076, 1195, 1026, 1831, 2792, 1006, 8900, 1982, 1645, 9159, 15575, 7429, 8264, 1094, 26733, 1048, 9643, 1034, 4234, 12697, 19054, 14858, 2200, 1195, 18905, 1118, 18310, 1009, 19434, 1054, 1094, 9348, 1068, 23671, 3650, 5953, 20324, 675, 9838, 10262, 1261, 8630, 1009, 8208, 1068, 5587, 26174, 1043, 1006, 2716, 2069, 20, 17615, 1187, 1686, 2707, 1400, 2955, 51, 1252, 1076, 1516, 675, 3201, 1159, 1044, 2792, 3746, 1147, 1159, 4277, 1026, 2403, 1322, 1224, 5297, 675, 1005, 1118, 4320, 2624, 22429, 1379, 1224, 7391, 675, 12561, 1060, 30103, 1411, 1264, 15317, 2088, 23865, 1005, 10558, 6159, 1005, 30263, 20, 15998, 2433, 1054, 1184, 1009, 1984, 19253, 2966, 2045, 1207, 1432, 16751, 1043, 2976, 3399, 9332, 1054, 1048, 16876, 1026, 2696, 1133, 1964, 18581, 2042, 10558, 2403, 7728, 1118, 7612, 5377, 10040, 4201, 1005, 16885, 1118, 5542, 1551, 1144, 2060, 20, 1138, 10872, 1128, 5701, 1156, 10089, 1629, 1096, 6934, 1114, 29217, 6652, 1009, 2955, 51, 1252, 2528, 3806, 1123, 1165, 1253, 16097, 32, 5256, 1809, 1017, 3965, 5542, 1551, 1144, 2060, 4244, 1517, 1079, 3734, 29858, 1068, 16145, 1180, 6551, 2955, 51, 1252, 1076, 1846, 1060, 16167, 2893, 1087, 1019, 1091, 1986, 1006, 30103, 1411, 1180, 6551, 2955, 51, 1252, 1076, 1195, 1465, 1100, 7035, 1044, 3419, 1005, 6321, 2539, 4106, 1322, 1224, 3560, 1005, 1569, 12697, 1043, 1982, 1645, 9159, 29730, 3818, 2310, 27204, 3092, 1175, 24378, 8102, 1671, 19846, 1009, 14045, 11084, 1576, 2507, 1061, 1573, 24505, 19, 5312, 1166, 1576, 2507, 1061, 1573, 1187, 2138, 2365, 6577, 1009, 3047, 11601, 3995, 1149, 11781, 1065, 23563, 1187, 2138, 2365, 24952, 1187, 2138, 2365, 22728, 1187, 2138, 2365, 1, 1144, 8915, 1017, 1031, 1236, 1096, 1094, 4272, 1009, 6941, 5513, 1449, 3342, 1049, 1427, 85, 1142, 1017, 1031, 1174, 1153, 3110, 1046, 27657, 2324, 8915, 1017, 1031, 5524, 24309, 1219, 3933, 13135, 1576, 1763, 1061, 1017, 1031, 5524, 30136, 77, 2914, 1005, 24309, 1219, 3933, 11233, 9660, 5, 5488, 2960, 12276, 1409, 1570, 1699, 28466, 1175, 1144, 8915, 1017, 1031, 1236, 19275, 1017, 1031, 1174, 1153, 1, 1063, 7022, 1187, 19924, 1009, 21049, 1214, 2569, 85, 6072, 1009, 3175, 2052, 1422, 30415, 1054, 1094, 1238, 158, 71, 1009, 1487, 3211, 25302, 2621, 7360, 18105, 1071, 2567, 28, 9949, 2621, 1025, 4681, 1009, 2490, 1025, 2575, 1114, 1641, 23667, 8354, 1054, 21049, 7866, 1294, 25128, 2502, 30744, 11110, 1063, 1641, 1096, 1009, 25209, 4261, 1680, 1159, 4306, 6486, 5609, 10433, 2034, 6316, 9040, 1596, 4745, 6397, 9107, 1009, 18002, 13295, 1783, 29761, 1048, 21049, 1214, 9090, 1663, 1094, 2481, 8083, 1068, 7522, 1787, 1132, 3945, 5175, 1009, 5874, 1009, 6747, 1309, 21049, 1214, 2598, 7217, 1094, 5576, 1658, 21049, 1214, 1683, 22071, 1096, 1006, 4539, 6600, 8349, 3019, 2743, 1068, 7679, 28847, 1658, 90, 2765, 3367, 7022, 1187, 19924, 1009, 21049, 7866, 1976, 11526, 1132, 4496, 16625, 13143, 1727, 2083, 13372, 1006, 2751, 3023, 23667, 4597, 1675, 16112, 1351, 10245, 1044, 9988, 3743, 4528, 1018, 15288, 1213, 1238, 29310, 3204, 9988, 2177, 3778, 1068, 24052, 5120, 15108, 1968, 5624, 15172, 3246, 1005, 20488, 4387, 1059, 5001, 2262, 1009, 5132, 5624, 2509, 1043, 21634, 2621, 21926, 1059, 2858, 14207, 17531, 1043, 27655, 21926, 1059, 2858, 9988, 1009, 4717, 14065, 1043, 1487, 6435, 21926, 20, 1138, 675, 9988, 5544, 3823, 1094, 2068, 1068, 1026, 11844, 1009, 4717, 14065, 1187, 1084, 39, 59, 1005, 1006, 7299, 1009, 4717, 14065, 19926, 1138, 12060, 1009, 4717, 14065, 1096, 11073, 1072, 24005, 1060, 7299, 1060, 7022, 1187, 19924, 1009, 3161, 5178, 1005, 4351, 2317, 4199, 1068, 9551, 12977, 83, 1166, 6842, 1005, 24895, 1063, 7299, 1009, 4717, 14065, 3747, 1096, 1006, 1944, 7442, 1009, 1235, 2446, 1054, 2073, 2269, 1049, 7118, 19163, 1009, 1094, 5966, 1365, 1006, 7022, 1187, 19924, 1009, 21049, 1214, 75, 1005, 1060, 8955, 4594, 1207, 8243, 10277, 1006, 7299, 1009, 4717, 14065, 3747, 5544, 15194, 1044, 13490, 1213, 1184, 3910, 3319, 3467, 1009, 1172, 8243, 10277, 1994, 2537, 1166, 3798, 5783, 2653, 1187, 2688, 2643, 1132, 1456, 3825, 29767, 1114, 29305, 4750, 1879, 9885, 5544, 7243, 1318, 1044, 3428, 1009, 29101, 1043, 1578, 5594, 1154, 3025, 30505, 1118, 16725, 1434, 2231, 89, 28141, 24282, 5868, 2128, 1009, 8814, 1009, 3917, 1044, 30259, 1195, 12567, 10041, 1043, 1026, 24164, 6540, 1054, 3456, 1394, 1043, 1026, 3399, 10641, 1108, 7580, 1005, 1026, 4527, 1348, 14401, 18238, 4190, 21506, 1356, 4346, 16492, 2286, 2971, 1009, 3042, 1009, 7624, 1026, 6120, 1009, 5132, 5624, 2509, 1049, 22135, 12132, 1044, 2303, 1009, 1307, 1646, 2303, 1068, 2710, 1138, 20785, 89, 1114, 7022, 1187, 19924, 1009, 21049, 1214, 31122, 3296, 2310, 6108, 1318, 7849, 3744, 1237, 1161, 13143, 2897, 1187, 25128, 2502, 30744, 2365, 2503, 1529, 1214, 1, 4523, 92, 1577, 5196, 1226, 4419, 1292, 31461, 13140, 5614, 27, 1479, 14844, 2454, 7375, 1195, 1044, 4868, 21466, 1005, 15044, 4971, 14093, 2494, 13117, 1235, 2011, 1195, 4947, 1118, 2653, 1159, 1094, 9438, 1213, 25465, 1876, 8861, 4418, 7068, 20966, 1356, 5428, 19554, 12709, 2673, 5148, 1007, 1297, 1069, 1054, 9976, 1357, 2828, 1009, 4111, 1081, 4385, 1365, 16718, 1005, 27194, 1195, 4868, 1009, 6365, 1060, 20568, 4208, 2828, 1009, 13319, 5949, 26574, 1069, 8394, 1233, 8928, 1009, 21927, 1163, 8007, 1324, 1235, 8299, 15605, 1072, 9104, 1049, 25465, 1876, 1005, 1060, 2706, 20110, 1145, 11084, 1094, 3621, 3462, 1005, 1717, 1006, 10419, 6097, 4289, 21051, 1294, 1646, 10321, 1356, 1184, 12479, 1187, 1456, 20985, 4782, 1047, 2346, 2629, 16360, 2893, 8933, 4419, 1292, 1195, 16225, 1233, 9130, 1049, 7822, 5529, 1072, 1428, 1516, 11782, 1981, 2271, 29041, 1005, 19244, 1235, 1720, 2551, 2898, 1463, 14830, 1049, 1386, 4457, 3316, 10474, 6407, 1049, 1235, 8299, 1096, 1006, 7507, 1009, 1094, 19706, 20279, 1072, 5239, 4577, 1291, 2378, 22053, 3425, 11188, 88, 5803, 1049, 1163, 2361, 5735, 6649, 1159, 1044, 6644, 14433, 1059, 13, 56, 1079, 5478, 2363, 1005, 24979, 13, 1005, 11063, 4983, 4392, 3818, 2310, 1257, 1257, 11381, 1061, 9820, 12506, 1060, 6512, 17612, 94, 1573, 4093, 1146, 1573, 1060, 6512, 17647, 1054, 14292, 14423, 1060, 2828, 1009, 4111, 15465, 1, 1924, 1120, 10368, 13163, 1298, 25597, 2083, 1924, 1120, 10368, 13163, 1175, 1641, 1213, 17066, 1009, 16193, 1126, 3861, 1060, 5704, 31636, 1549, 5, 1924, 1120, 10368, 13163, 21742, 1175, 5704, 1009, 18596, 5, 23460, 1009, 1924, 1120, 10368, 13163, 1175, 28984, 1213, 3821, 1060, 6140, 1009, 16193, 1126, 22324, 1679, 2138, 2365, 1159, 6500, 20849, 1054, 4658, 25, 1054, 7160, 1049, 5496, 1009, 31695, 4705, 9697, 1118, 1901, 5, 12848, 23041, 1060, 23460, 1009, 1924, 1120, 10368, 13163, 1175, 9255, 1049, 7433, 9046, 2594, 1312, 1114, 28984, 5, 2677, 2063, 1009, 1924, 1120, 10368, 13163, 1175, 3428, 1009, 2500, 2101, 1009, 22777, 7769, 9046, 5062, 1114, 2068, 20849, 5, 1924, 1120, 10368, 13163, 1175, 5187, 1060, 3688, 5092, 8793, 1689, 1049, 14551, 1214, 1803, 7982, 1159, 1006, 5994, 6116, 1049, 5804, 22875, 1207, 4142, 85, 5600, 1054, 3383, 1009, 4187, 5, 1924, 1120, 10368, 13163, 1175, 5187, 1049, 2417, 21391, 14630, 1009, 5065, 19, 7971, 3422, 3309, 4396, 6108, 15067, 1924, 1120, 1056, 1046, 1153, 30707, 1, 1063, 15148, 1060, 1082, 1517, 23948, 1096, 1044, 1187, 14823, 7878, 1060, 5007, 1060, 1082, 1517, 168, 15834, 1094, 23706, 2063, 1060, 8955, 26724, 20, 3126, 16134, 1356, 13740, 1060, 5007, 1009, 2595, 1009, 3261, 1009, 8925, 21630, 10559, 1418, 10516, 9165, 1054, 1044, 1745, 9844, 1043, 17412, 8759, 19, 2632, 5518, 1009, 6480, 25, 13831, 1054, 2125, 8696, 15019, 1102, 1463, 5281, 25473, 6548, 1005, 6658, 1114, 17412, 1009, 1083, 21, 2471, 1083, 13952, 1005, 1083, 21, 2471, 20791, 1776, 3709, 1060, 6755, 1837, 1044, 7196, 7155, 1213, 5413, 1114, 15148, 1060, 1228, 74, 83, 175, 4364, 1034, 3313, 9213, 2404, 3705, 7196, 1072, 3709, 1060, 6755, 20620, 1009, 1044, 7196, 11457, 6603, 5281, 1060, 6755, 1318, 15022, 1026, 4308, 1060, 6755, 1060, 3364, 1187, 3825, 1049, 8100, 16563, 1005, 1060, 6755, 1060, 7500, 1680, 1159, 1009, 2739, 1009, 1569, 23706, 1020, 5247, 1206, 4473, 9480, 1124, 5281, 6459, 11216, 13004, 11994, 1048, 1327, 1026, 25473, 3057, 2535, 19966, 27042, 6410, 1524, 1599, 1026, 6548, 1005, 1026, 6658, 3242, 1517, 23948, 1691, 1517, 23948, 1, 4378, 1096, 1094, 2919, 1271, 14196, 16247, 1048, 2472, 83, 1114, 24971, 3316, 7298, 14916, 1096, 1094, 2451, 1048, 25924, 1783, 1206, 19587, 12552, 5496, 20, 10003, 1206, 1155, 10460, 14598, 1068, 28386, 1026, 5407, 20, 6779, 1016, 6880, 1009, 14196, 16247, 1327, 1124, 10142, 14196, 16247, 1009, 4885, 6072, 1005, 14196, 16247, 1413, 1218, 1014, 5339, 86, 1489, 1242, 16247, 15475, 14526, 86, 1489, 1242, 16247, 1009, 7747, 14526, 86, 1489, 1242, 16247, 1413, 1218, 1014, 14526, 86, 1489, 1242, 1006, 1281, 1016, 29971, 24519, 1, 16758, 1012, 4568, 17864, 96, 2645, 1024, 2255, 675, 1711, 10727, 6190, 1195, 1044, 21137, 5976, 13737, 1375, 1418, 1006, 16716, 19495, 1678, 1357, 13956, 1060, 6704, 1271, 3956, 1887, 10583, 1302, 1079, 11848, 1114, 5411, 13118, 1029, 8676, 1009, 7083, 1005, 26236, 2923, 1054, 21334, 1114, 2828, 1009, 1338, 1170, 12708, 20, 28408, 5396, 1026, 15655, 1876, 1060, 6704, 1271, 3956, 1887, 4108 ]

[ 12740, 17543, 2100, 37, 1257, 18792, 32, 1257, 1175, 1841, 1257, 1175, 1160, 1096, 2481, 3754, 1257, 1175, 15893, 1257, 12458, 32, 12151, 6141, 32, 1257, 1150, 15753, 1534, 2068, 1114, 7565, 5091, 1016, 4124, 9275, 4530, 1054, 20433, 4619, 12742, 2328, 1009, 2125, 4031, 1060, 2759, 7730, 1896, 1406, 4800, 14052, 1048, 1837, 1356, 2444, 1044, 4530, 1009, 17543, 1054, 20433, 1005, 2125, 4031, 1060, 2759, 1026, 2442, 4619, 5225, 79, 17321, 1009, 12742, 20, 1776, 2268, 1160, 4800, 14052, 1058, 1837, 1206, 1160, 1044, 2417, 1009, 4031, 12740, 4933, 7504, 1802, 10634, 1006, 3484, 1096, 11886, 1096, 2481, 3754, 2100, 8, 1, 22502, 12155, 1511, 1006, 11221, 11471, 4405, 17422, 1379, 1224, 1944, 17020, 1173, 23011, 6726, 1257, 21567, 2083, 8, 39, 4630, 13092, 17422, 1379, 1224, 1944, 17020, 1173, 23011, 1054, 3939, 1009, 3383, 1009, 2879, 3537, 1138, 2743, 1068, 6537, 1006, 7797, 1126, 4485, 1159, 5707, 9380, 14186, 84, 21436, 1206, 1150, 6188, 75, 1083, 8, 1072, 22852, 18, 1195, 18376, 1356, 9757, 31054, 1344, 15549, 1065, 1220, 1005, 17914, 1094, 2759, 1009, 12434, 1005, 24455, 1048, 6471, 4433, 1054, 12659, 20, 1138, 4902, 17668, 1188, 1060, 7797, 1126, 1048, 2569, 1044, 15385, 1009, 3295, 5824, 1252, 1081, 1678, 8171, 1044, 17211, 2512, 1114, 7087, 4527, 2609, 1291, 1060, 3578, 1134, 1199, 1365, 1132, 2138, 2365, 1005, 1006, 4630, 9903, 21887, 1138, 3090, 1271, 6786, 24221, 1357, 4630, 13092, 2569, 24803, 4606, 1568, 1078, 14206, 3927, 15379, 1094, 1472, 1048, 4135, 2698, 1026, 8278, 1187, 2138, 2365, 1159, 1006, 3964, 12924, 15257, 1049, 1784, 1005, 3011, 1079, 1124, 14234, 1060, 3578, 1134, 24736, 1063, 4630, 13092, 11694, 1094, 2700, 1009, 6786, 9122, 24904, 2966, 22962, 1261, 3222, 7894, 7498, 1005, 25531, 4447, 9404, 1957, 29568, 1032, 2565, 1005, 1006, 7087, 4527, 2609, 1291, 1365, 1124, 2156, 2201, 7770, 1758, 6895, 1890, 2693, 1006, 1516, 1060, 3578, 1134, 1199, 2100, 1, 22502, 12155, 22171, 1024, 15157, 6865, 1356, 2444, 1044, 1026, 1674, 3017, 1094, 5095, 1005, 1044, 16027, 37, 19821, 1006, 4169, 1184, 12908, 1068, 6679, 1233, 4960, 26329, 18792, 32, 1175, 10525, 1175, 1807, 3453, 1175, 1557, 1175, 1543, 8634, 1009, 15157, 1175, 15061, 1257, 21567, 2083, 8, 39, 4169, 1184, 12908, 1068, 15266, 1006, 7565, 1096, 6373, 1209, 1066, 96, 2100, 22171, 1024, 15157, 6865, 1356, 2444, 1044, 1026, 1674, 3017, 1094, 5095, 1005, 1094, 1543, 8634, 1009, 28626, 3150, 1063, 1543, 8634, 1009, 15157, 1096, 1094, 5710, 6740, 1009, 10359, 3778, 1068, 8147, 1006, 5095, 1322, 1006, 3444, 1005, 1114, 19093, 1049, 1026, 1674, 6633, 4501, 1094, 1543, 8634, 1009, 28626, 2255, 2909, 11246, 6534, 1026, 2666, 1009, 28626, 3150, 8106, 10525, 18, 1557, 1005, 10525, 7192, 1318, 1327, 6863, 4412, 1068, 6534, 28626, 2255, 1094, 1543, 8634, 1009, 15157, 1096, 1094, 6808, 8443, 1068, 1026, 2666, 2100, 1, 14354, 1986, 1006, 4744, 1054, 4704, 1014, 82, 1041, 5121, 1132, 16815, 12840, 3603, 3225, 1322, 1006, 13117, 11981, 2940, 1132, 17341, 1068, 2979, 1009, 24916, 1005, 27526, 2223, 1138, 4026, 1114, 10436, 1577, 6801, 10262, 1060, 1641, 1009, 27526, 1018, 1043, 1132, 17341, 1511, 1006, 1641, 1703, 1513, 13335, 14453, 1819, 1992, 9094, 1026, 15217, 1114, 10436, 1577, 2149, 3663, 28, 1565, 1766, 16815, 24381, 1049, 4113, 1060, 6512, 1118, 3360, 4248, 1006, 3971, 1009, 9272, 1700, 1122, 1461, 1094, 17660, 24570, 2029, 3806, 1765, 29584, 1060, 3270, 2795, 1199, 2149, 3663, 28, 2541, 3663, 29, 1565, 3782, 1160, 1195, 13466, 1629, 1068, 1132, 16815, 2246, 1857, 1160, 5588, 2924, 2596, 1009, 3524, 16454, 10245, 2276, 1857, 1160, 5588, 2924, 5342, 1006, 1160, 1178, 9467, 13278, 2237, 27292, 20, 1063, 27292, 1058, 3895, 1461, 1054, 1094, 3781, 1009, 8178, 13061, 1005, 1132, 16815, 8651, 1234, 12087, 1006, 3689, 26269, 31848, 1054, 21405, 1026, 1048, 1998, 8976, 1079, 1124, 3469, 1043, 1026, 7912, 1667, 4378, 3961, 1821, 1339, 1461, 1048, 1264, 8830, 3959, 5478, 6780, 23657, 1054, 1094, 5681, 13158, 1026, 1048, 2697, 1461, 1118, 4480, 1006, 5597, 4993, 1005, 1233, 1821, 2484, 1060, 26192, 1257, 1063, 3781, 3501, 1461, 1511, 1006, 12243, 12132, 1026, 16426, 1009, 11614, 6093, 2149, 3663, 18160, 10446, 1435, 1060, 13117, 23322, 1005, 4149, 1005, 4110, 2744, 1009, 3302, 1010, 1054, 17674, 12536, 1009, 3781, 1068, 1006, 20853, 1766, 3302, 14127, 1054, 10045, 1126, 8571, 6802, 1054, 6588, 1048, 1124, 9109, 19989, 1016, 1710, 6039, 1040, 1068, 2573, 1043, 1026, 1235, 1867, 7895, 3204, 12196, 1998, 7023, 1006, 3781, 1043, 1006, 26680, 1160, 2569, 2073, 6640, 1322, 1006, 3781, 1043, 1006, 17180, 1005, 1006, 30689, 1257, 1063, 3781, 26107, 12061, 1034, 1068, 1927, 1026, 8996, 1060, 5253, 1118, 3865, 1187, 3398, 3825, 1048, 1596, 13557, 1118, 3865, 24424, 1138, 10601, 1035, 6377, 16028, 5523, 6410, 7303, 1808, 1461, 1009, 13217, 3121, 1006, 6774, 8416, 16288, 1132, 12864, 23657, 1005, 9755, 1400, 6968, 1006, 12243, 6659, 1140, 1159, 1026, 1235, 3266, 7751, 1138, 10332, 4644, 3801, 1345, 2412, 1079, 1049, 15217, 1068, 8661, 25200, 1009, 5711, 1006, 3269, 3382, 1026, 1048, 2697, 1461, 1043, 1006, 17330, 1187, 12842, 20163, 1010, 1048, 2257, 2281, 1094, 12924, 1114, 5253, 1118, 21695, 4844, 1776, 2268, 4644, 3801, 1160, 18560, 3698, 3240, 1264, 1998, 2384, 3165, 1026, 3479, 1009, 10332, 1060, 12243, 20, 25200, 7289, 1006, 17090, 1049, 6075, 1100, 1044, 2417, 1009, 6780, 14597, 6163, 1159, 1094, 6317, 21815, 1027, 1365, 1006, 4590, 1005, 1456, 15078, 1060, 5253, 5960, 20, 11203, 2138, 1058, 19185, 1648, 1184, 3232, 1068, 2837, 1026, 1908, 1060, 4149, 1006, 2323, 2429, 24412, 6308, 20, 1257, 25200, 6479, 1663, 1044, 2303, 1043, 1026, 6377, 28108, 1577, 1068, 13739, 1159, 1044, 19580, 1717, 1132, 19989, 1229, 1094, 1472, 1048, 1857, 5588, 2281, 19811, 15078, 1060, 30689, 2200, 3475, 1493, 1557, 4619, 1663, 1043, 1048, 1132, 25083, 2314, 6231, 7965, 1006, 7500, 2149, 3663, 15640, 1309, 1132, 25083, 2314, 1998, 8571, 1412, 1986, 1006, 4744, 6814, 1054, 4704, 1014, 82, 8165, 3414, 1182, 1819, 1048, 27219, 5587, 37, 1565, 2034, 16433, 1009, 1094, 16399, 1365, 1132, 1101, 1768, 6802, 26537, 8249, 1511, 1132, 16815, 18212, 1058, 1155, 1787, 1043, 1132, 22845, 1322, 1026, 7807, 24551, 1184, 28496, 1257, 7731, 1048, 25200, 6479, 17680, 12919, 2808, 1094, 2596, 1009, 6423, 1679, 4866, 3368, 1264, 2398, 1461, 1006, 3964, 1807, 3597, 1048, 3012, 1663, 1068, 25702, 5373, 1728, 2200, 7457, 10262, 1026, 12970, 1009, 14520, 1068, 3689, 3524, 1026, 16185, 1060, 5253, 1068, 17207, 1645, 1664, 1132, 8738, 17341, 1159, 1044, 2191, 1009, 2425, 79, 17321, 5993, 2682, 20, 3316, 1472, 1048, 1132, 16815, 2829, 1240, 7770, 1452, 1068, 30949, 1006, 17180, 3121, 1213, 15490, 4866, 2274, 1857, 21040, 19185, 1026, 16185, 1717, 1132, 4866, 3368, 1054, 1472, 2668, 1072, 1048, 1096, 3201, 1159, 1026, 7807, 24551, 2149, 3663, 28, 1565, 1138, 12419, 8253, 8661, 1664, 1132, 12864, 1009, 14333, 1043, 1132, 4866, 3368, 1026, 1048, 23142, 1461, 1006, 13289, 1765, 1637, 1048, 13001, 17680, 12919, 1009, 1044, 2380, 4678, 20, 3204, 17207, 1385, 3156, 1461, 1679, 17341, 1365, 2971, 19, 5003, 11, 1187, 1456, 26367, 1890, 1124, 1005, 1170, 1048, 3586, 1006, 1178, 2111, 3983, 1257, 5139, 3129, 1132, 25083, 2314, 8715, 1412, 1463, 8178, 4525, 1005, 1159, 1026, 1235, 13609, 5341, 1079, 1132, 3770, 12654, 89, 25083, 2314, 8715, 1412, 1044, 3129, 15801, 1463, 8178, 4525, 3587, 1159, 15099, 15996, 1068, 25200, 1717, 1006, 30689, 1776, 2268, 1235, 13609, 1160, 2569, 1044, 5802, 10745, 1294, 3770, 1271, 8178, 12316, 1766, 25083, 2314, 6736, 8571, 1412, 1054, 16012, 1006, 7500, 1986, 1006, 4744, 6814, 1054, 4704, 1014, 82, 1041, 5121, 1309, 1124, 12388, 1009, 1094, 16399, 1365, 1124, 2156, 28767, 24920, 26537, 8249, 1511, 1132, 16815, 18212, 1058, 1251, 22154, 1043, 1132, 22845, 1322, 1026, 7807, 24551, 1184, 28496, 1766, 25083, 2314, 1318, 1596, 28029, 1356, 7807, 16339, 23495, 2340, 1033, 3493, 1235, 6545, 1043, 1132, 4866, 5345, 1776, 2268, 1026, 1235, 13609, 1463, 17380, 1195, 8407, 1054, 8198, 1043, 1124, 3056, 28767, 15004, 31064, 1, 1505, 7855, 23471, 8854, 1322, 1159, 2837, 1094, 1963, 1140, 1009, 1249, 1342, 16528, 1043, 19723, 1009, 3178, 1469, 1039, 6633, 21980, 71, 1132, 12838, 1880, 5454, 1132, 10328, 1068, 1663, 1006, 1963, 1140, 1005, 7744, 3554, 1100, 1005, 7636, 12265, 1009, 23780, 29343, 1371, 1009, 10698, 7636, 6417, 1206, 31589, 1068, 3871, 1048, 1006, 1963, 1140, 2374, 10278, 2669, 1005, 1680, 12209, 1713, 3313, 1029, 1140, 1009, 1249, 1342, 16528, 1043, 8596, 1009, 19723, 3474, 1469, 8837, 1257, 36, 4211, 1878, 2426, 32, 1257, 36, 1972, 1006, 2915, 23091, 1257, 1972, 1006, 2915, 23091, 1257, 1175, 1675, 7953, 89, 1009, 8794, 1009, 1249, 1342, 16528, 17006, 1016, 1257, 1175, 1083, 13952, 22051, 71, 13228, 18, 2173, 1278, 9901, 3234, 1257, 1175, 1422, 15953, 3791, 3607, 9901, 3259, 1257, 1175, 1083, 13952, 7953, 1009, 29777, 3340, 9901, 3259, 1257, 19, 1101, 1502, 3176, 1009, 22004, 1009, 27036, 1257, 1175, 1083, 19071, 7953, 1009, 12042, 12000, 1009, 26695, 1257, 1175, 1101, 1502, 3176, 1009, 22004, 1009, 6498, 1257, 1175, 1083, 17721, 1009, 22004, 1009, 2168, 4962, 1009, 4815, 80, 1081, 1257, 1175, 2915, 1005, 26603, 1006, 7482, 1257, 23973, 3088, 1237, 1161, 32, 1257, 23973, 23973, 31841, 21565, 1132, 12838, 1060, 1963, 3567, 2955, 1167, 1124, 8794, 1009, 1249, 1342, 16528, 1005, 24446, 12679, 19, 1728, 8207, 5992, 7636, 1172, 1593, 1018, 21994, 2986, 1005, 10515, 2934, 1124, 8794, 1054, 19367, 1009, 4466, 1009, 18801, 5330, 10702, 2173, 1278, 1006, 22051, 71, 13228, 1005, 9901, 1434, 1132, 15953, 3791, 7425, 3275, 94, 150, 2934, 1005, 7245, 1132, 29777, 1045, 1554, 1257, 1257, 4004, 1482, 1094, 24806, 1038, 2469, 3791, 25061, 3178, 1469, 1054, 1064, 3645, 6571, 1495, 3659, 1011, 7518, 8635, 8207, 5992, 1026, 3178, 1469, 1060, 24806, 1038, 1239, 1043, 1094, 17721, 1005, 1268, 16869, 20, 3064, 16869, 1006, 1340, 11096, 1009, 3178, 1469, 1114, 24806, 1038, 10871, 1257, 1257, 5142, 1972, 1663, 1026, 5443, 4075, 14104, 27036, 1233, 1340, 11096, 1009, 3178, 1469, 8837, 1114, 24806, 1038, 10871, 1106, 1889, 1072, 12042, 12000, 1009, 13178, 6861, 6498, 1005, 2168, 4962, 4815, 80, 9513, 2152, 1167, 1006, 5937, 1006, 1094, 3791, 1171, 1154, 1005, 3791, 25061, 1495, 4244, 7591, 1930, 1118, 2916, 1009, 1307, 7942, 17031, 18438, 1281, 1043, 1963, 1005, 26603, 1006, 7482, 20, 1257, 1257, 6013, 1482, 1094, 18151, 1623, 16137, 14104, 1124, 8794, 1009, 1249, 1342, 76, 3694, 22051, 71, 13228, 18, 29777, 3340, 1005, 15953, 3791, 1402, 1054, 2120, 4927, 1554, 1257, 1655, 10, 1487, 2430, 1292, 2024, 1026, 3178, 1469, 8837, 1058, 25880, 1114, 18151, 1623, 1005, 6534, 1068, 15587, 3144, 1257, 1257, 9884, 9987, 1043, 19282, 1642, 1076, 1169, 19280, 1136, 1005, 3178, 1469, 1011, 7518, 8635, 1257, 1257, 10723, 14254, 1589, 1006, 1963, 1140, 1009, 1249, 1342, 16528, 1043, 19723, 1009, 3178, 1469, 8837, 7573, 20, 1257, 1257, 19510, 32, 1257, 1257, 1175, 2034, 1851, 1013, 1371, 1009, 1048, 1026, 3178, 1469, 5553, 10341, 1495, 1011, 7518, 1526, 1996, 1009, 10072, 9249, 1060, 24806, 1038, 10871, 3782, 5544, 5047, 13396, 1233, 1963, 3567, 1257, 1175, 1138, 19723, 1009, 3178, 1469, 8837, 1976, 1178, 15359, 2574, 1996, 1009, 9126, 1068, 3647, 1224, 5789, 1005, 13396, 1011, 10514, 1377, 1257, 1175, 8017, 1249, 1342, 16528, 24345, 1068, 1026, 1853, 10278, 1005, 29233, 20, 1257, 1175, 3713, 1298, 5047, 12838, 8008, 1159, 2468, 5076, 10739, 3431, 31642, 5076, 1206, 1072, 6238, 4481, 3569, 1006, 2237, 1963, 1140, 1068, 10278, 1005, 13396, 8008, 20, 1257, 1175, 14254, 1589, 1006, 1963, 1140, 1159, 1044, 13465, 10432, 1206, 1044, 19142, 7743, 1043, 1044, 16194, 1011, 7518, 1526, 1213, 25098, 1, 5083, 2334, 16382, 1044, 4288, 1009, 6004, 78, 1072, 14676, 1048, 1857, 6004, 78, 7629, 2241, 9441, 1470, 17321, 2364, 1857, 1257, 1257, 13372, 1048, 6856, 1048, 3598, 24148, 1044, 4288, 1048, 20398, 1072, 24154, 3556, 2100, 37, 1257, 18792, 5262, 32, 1006, 1565, 1841, 33, 1080, 1565, 1160, 1096, 2481, 3754, 33, 1011, 1565, 1160, 1565, 1160, 30051, 3885, 1096, 2481, 1919, 2652, 1063, 8239, 1322, 1261, 1044, 4288, 1072, 14676, 1160, 5420, 2266, 14307, 1068, 7556, 1058, 5756, 1044, 4288, 1072, 24154, 3556, 1206, 15893, 1, 10628, 2335, 32, 4733, 1006, 9348, 1118, 2595, 19, 4990, 1068, 1026, 1062, 1441, 8099, 14689, 4341, 2680, 89, 1072, 2976, 8146, 18084, 21627, 1132, 22982, 1248, 2470, 1046, 1233, 3597, 1986, 1224, 3757, 1422, 3762, 1093, 1068, 8086, 1026, 30800, 1142, 14177, 1118, 1307, 2541, 1054, 17920, 75, 2363, 20, 29837, 15212, 95, 6192, 1233, 3597, 1846, 1009, 1058, 8402, 1009, 1094, 1572, 13241, 1463 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 12740, 17543, 2100, 37, 1257, 18792, 32, 1257, 1175, 1841, 1257, 1175, 1160, 1096, 2481, 3754, 1257, 1175, 15893, 1257, 12458, 32, 12151, 6141, 32, 1257, 1150, 15753, 1534, 2068, 1114, 7565, 5091, 1016, 4124, 9275, 4530, 1054, 20433, 4619, 12742, 2328, 1009, 2125, 4031, 1060, 2759, 7730, 1896, 1406, 4800, 14052, 1048, 1837, 1356, 2444, 1044, 4530, 1009, 17543, 1054, 20433, 1005, 2125, 4031, 1060, 2759, 1026, 2442, 4619, 5225, 79, 17321, 1009, 12742, 20, 1776, 2268, 1160, 4800, 14052, 1058, 1837, 1206, 1160, 1044, 2417, 1009, 4031, 12740, 4933, 7504, 1802, 10634, 1006, 3484, 1096, 11886, 1096, 2481, 3754, 2100, 8, 1, 22502, 12155, 1511, 1006, 11221, 11471, 4405, 17422, 1379, 1224, 1944, 17020, 1173, 23011, 6726, 1257, 21567, 2083, 8, 39, 4630, 13092, 17422, 1379, 1224, 1944, 17020, 1173, 23011, 1054, 3939, 1009, 3383, 1009, 2879, 3537, 1138, 2743, 1068, 6537, 1006, 7797, 1126, 4485, 1159, 5707, 9380, 14186, 84, 21436, 1206, 1150, 6188, 75, 1083, 8, 1072, 22852, 18, 1195, 18376, 1356, 9757, 31054, 1344, 15549, 1065, 1220, 1005, 17914, 1094, 2759, 1009, 12434, 1005, 24455, 1048, 6471, 4433, 1054, 12659, 20, 1138, 4902, 17668, 1188, 1060, 7797, 1126, 1048, 2569, 1044, 15385, 1009, 3295, 5824, 1252, 1081, 1678, 8171, 1044, 17211, 2512, 1114, 7087, 4527, 2609, 1291, 1060, 3578, 1134, 1199, 1365, 1132, 2138, 2365, 1005, 1006, 4630, 9903, 21887, 1138, 3090, 1271, 6786, 24221, 1357, 4630, 13092, 2569, 24803, 4606, 1568, 1078, 14206, 3927, 15379, 1094, 1472, 1048, 4135, 2698, 1026, 8278, 1187, 2138, 2365, 1159, 1006, 3964, 12924, 15257, 1049, 1784, 1005, 3011, 1079, 1124, 14234, 1060, 3578, 1134, 24736, 1063, 4630, 13092, 11694, 1094, 2700, 1009, 6786, 9122, 24904, 2966, 22962, 1261, 3222, 7894, 7498, 1005, 25531, 4447, 9404, 1957, 29568, 1032, 2565, 1005, 1006, 7087, 4527, 2609, 1291, 1365, 1124, 2156, 2201, 7770, 1758, 6895, 1890, 2693, 1006, 1516, 1060, 3578, 1134, 1199, 2100, 1, 22502, 12155, 22171, 1024, 15157, 6865, 1356, 2444, 1044, 1026, 1674, 3017, 1094, 5095, 1005, 1044, 16027, 37, 19821, 1006, 4169, 1184, 12908, 1068, 6679, 1233, 4960, 26329, 18792, 32, 1175, 10525, 1175, 1807, 3453, 1175, 1557, 1175, 1543, 8634, 1009, 15157, 1175, 15061, 1257, 21567, 2083, 8, 39, 4169, 1184, 12908, 1068, 15266, 1006, 7565, 1096, 6373, 1209, 1066, 96, 2100, 22171, 1024, 15157, 6865, 1356, 2444, 1044, 1026, 1674, 3017, 1094, 5095, 1005, 1094, 1543, 8634, 1009, 28626, 3150, 1063, 1543, 8634, 1009, 15157, 1096, 1094, 5710, 6740, 1009, 10359, 3778, 1068, 8147, 1006, 5095, 1322, 1006, 3444, 1005, 1114, 19093, 1049, 1026, 1674, 6633, 4501, 1094, 1543, 8634, 1009, 28626, 2255, 2909, 11246, 6534, 1026, 2666, 1009, 28626, 3150, 8106, 10525, 18, 1557, 1005, 10525, 7192, 1318, 1327, 6863, 4412, 1068, 6534, 28626, 2255, 1094, 1543, 8634, 1009, 15157, 1096, 1094, 6808, 8443, 1068, 1026, 2666, 2100, 1, 14354, 1986, 1006, 4744, 1054, 4704, 1014, 82, 1041, 5121, 1132, 16815, 12840, 3603, 3225, 1322, 1006, 13117, 11981, 2940, 1132, 17341, 1068, 2979, 1009, 24916, 1005, 27526, 2223, 1138, 4026, 1114, 10436, 1577, 6801, 10262, 1060, 1641, 1009, 27526, 1018, 1043, 1132, 17341, 1511, 1006, 1641, 1703, 1513, 13335, 14453, 1819, 1992, 9094, 1026, 15217, 1114, 10436, 1577, 2149, 3663, 28, 1565, 1766, 16815, 24381, 1049, 4113, 1060, 6512, 1118, 3360, 4248, 1006, 3971, 1009, 9272, 1700, 1122, 1461, 1094, 17660, 24570, 2029, 3806, 1765, 29584, 1060, 3270, 2795, 1199, 2149, 3663, 28, 2541, 3663, 29, 1565, 3782, 1160, 1195, 13466, 1629, 1068, 1132, 16815, 2246, 1857, 1160, 5588, 2924, 2596, 1009, 3524, 16454, 10245, 2276, 1857, 1160, 5588, 2924, 5342, 1006, 1160, 1178, 9467, 13278, 2237, 27292, 20, 1063, 27292, 1058, 3895, 1461, 1054, 1094, 3781, 1009, 8178, 13061, 1005, 1132, 16815, 8651, 1234, 12087, 1006, 3689, 26269, 31848, 1054, 21405, 1026, 1048, 1998, 8976, 1079, 1124, 3469, 1043, 1026, 7912, 1667, 4378, 3961, 1821, 1339, 1461, 1048, 1264, 8830, 3959, 5478, 6780, 23657, 1054, 1094, 5681, 13158, 1026, 1048, 2697, 1461, 1118, 4480, 1006, 5597, 4993, 1005, 1233, 1821, 2484, 1060, 26192, 1257, 1063, 3781, 3501, 1461, 1511, 1006, 12243, 12132, 1026, 16426, 1009, 11614, 6093, 2149, 3663, 18160, 10446, 1435, 1060, 13117, 23322, 1005, 4149, 1005, 4110, 2744, 1009, 3302, 1010, 1054, 17674, 12536, 1009, 3781, 1068, 1006, 20853, 1766, 3302, 14127, 1054, 10045, 1126, 8571, 6802, 1054, 6588, 1048, 1124, 9109, 19989, 1016, 1710, 6039, 1040, 1068, 2573, 1043, 1026, 1235, 1867, 7895, 3204, 12196, 1998, 7023, 1006, 3781, 1043, 1006, 26680, 1160, 2569, 2073, 6640, 1322, 1006, 3781, 1043, 1006, 17180, 1005, 1006, 30689, 1257, 1063, 3781, 26107, 12061, 1034, 1068, 1927, 1026, 8996, 1060, 5253, 1118, 3865, 1187, 3398, 3825, 1048, 1596, 13557, 1118, 3865, 24424, 1138, 10601, 1035, 6377, 16028, 5523, 6410, 7303, 1808, 1461, 1009, 13217, 3121, 1006, 6774, 8416, 16288, 1132, 12864, 23657, 1005, 9755, 1400, 6968, 1006, 12243, 6659, 1140, 1159, 1026, 1235, 3266, 7751, 1138, 10332, 4644, 3801, 1345, 2412, 1079, 1049, 15217, 1068, 8661, 25200, 1009, 5711, 1006, 3269, 3382, 1026, 1048, 2697, 1461, 1043, 1006, 17330, 1187, 12842, 20163, 1010, 1048, 2257, 2281, 1094, 12924, 1114, 5253, 1118, 21695, 4844, 1776, 2268, 4644, 3801, 1160, 18560, 3698, 3240, 1264, 1998, 2384, 3165, 1026, 3479, 1009, 10332, 1060, 12243, 20, 25200, 7289, 1006, 17090, 1049, 6075, 1100, 1044, 2417, 1009, 6780, 14597, 6163, 1159, 1094, 6317, 21815, 1027, 1365, 1006, 4590, 1005, 1456, 15078, 1060, 5253, 5960, 20, 11203, 2138, 1058, 19185, 1648, 1184, 3232, 1068, 2837, 1026, 1908, 1060, 4149, 1006, 2323, 2429, 24412, 6308, 20, 1257, 25200, 6479, 1663, 1044, 2303, 1043, 1026, 6377, 28108, 1577, 1068, 13739, 1159, 1044, 19580, 1717, 1132, 19989, 1229, 1094, 1472, 1048, 1857, 5588, 2281, 19811, 15078, 1060, 30689, 2200, 3475, 1493, 1557, 4619, 1663, 1043, 1048, 1132, 25083, 2314, 6231, 7965, 1006, 7500, 2149, 3663, 15640, 1309, 1132, 25083, 2314, 1998, 8571, 1412, 1986, 1006, 4744, 6814, 1054, 4704, 1014, 82, 8165, 3414, 1182, 1819, 1048, 27219, 5587, 37, 1565, 2034, 16433, 1009, 1094, 16399, 1365, 1132, 1101, 1768, 6802, 26537, 8249, 1511, 1132, 16815, 18212, 1058, 1155, 1787, 1043, 1132, 22845, 1322, 1026, 7807, 24551, 1184, 28496, 1257, 7731, 1048, 25200, 6479, 17680, 12919, 2808, 1094, 2596, 1009, 6423, 1679, 4866, 3368, 1264, 2398, 1461, 1006, 3964, 1807, 3597, 1048, 3012, 1663, 1068, 25702, 5373, 1728, 2200, 7457, 10262, 1026, 12970, 1009, 14520, 1068, 3689, 3524, 1026, 16185, 1060, 5253, 1068, 17207, 1645, 1664, 1132, 8738, 17341, 1159, 1044, 2191, 1009, 2425, 79, 17321, 5993, 2682, 20, 3316, 1472, 1048, 1132, 16815, 2829, 1240, 7770, 1452, 1068, 30949, 1006, 17180, 3121, 1213, 15490, 4866, 2274, 1857, 21040, 19185, 1026, 16185, 1717, 1132, 4866, 3368, 1054, 1472, 2668, 1072, 1048, 1096, 3201, 1159, 1026, 7807, 24551, 2149, 3663, 28, 1565, 1138, 12419, 8253, 8661, 1664, 1132, 12864, 1009, 14333, 1043, 1132, 4866, 3368, 1026, 1048, 23142, 1461, 1006, 13289, 1765, 1637, 1048, 13001, 17680, 12919, 1009, 1044, 2380, 4678, 20, 3204, 17207, 1385, 3156, 1461, 1679, 17341, 1365, 2971, 19, 5003, 11, 1187, 1456, 26367, 1890, 1124, 1005, 1170, 1048, 3586, 1006, 1178, 2111, 3983, 1257, 5139, 3129, 1132, 25083, 2314, 8715, 1412, 1463, 8178, 4525, 1005, 1159, 1026, 1235, 13609, 5341, 1079, 1132, 3770, 12654, 89, 25083, 2314, 8715, 1412, 1044, 3129, 15801, 1463, 8178, 4525, 3587, 1159, 15099, 15996, 1068, 25200, 1717, 1006, 30689, 1776, 2268, 1235, 13609, 1160, 2569, 1044, 5802, 10745, 1294, 3770, 1271, 8178, 12316, 1766, 25083, 2314, 6736, 8571, 1412, 1054, 16012, 1006, 7500, 1986, 1006, 4744, 6814, 1054, 4704, 1014, 82, 1041, 5121, 1309, 1124, 12388, 1009, 1094, 16399, 1365, 1124, 2156, 28767, 24920, 26537, 8249, 1511, 1132, 16815, 18212, 1058, 1251, 22154, 1043, 1132, 22845, 1322, 1026, 7807, 24551, 1184, 28496, 1766, 25083, 2314, 1318, 1596, 28029, 1356, 7807, 16339, 23495, 2340, 1033, 3493, 1235, 6545, 1043, 1132, 4866, 5345, 1776, 2268, 1026, 1235, 13609, 1463, 17380, 1195, 8407, 1054, 8198, 1043, 1124, 3056, 28767, 15004, 31064, 1, 1505, 7855, 23471, 8854, 1322, 1159, 2837, 1094, 1963, 1140, 1009, 1249, 1342, 16528, 1043, 19723, 1009, 3178, 1469, 1039, 6633, 21980, 71, 1132, 12838, 1880, 5454, 1132, 10328, 1068, 1663, 1006, 1963, 1140, 1005, 7744, 3554, 1100, 1005, 7636, 12265, 1009, 23780, 29343, 1371, 1009, 10698, 7636, 6417, 1206, 31589, 1068, 3871, 1048, 1006, 1963, 1140, 2374, 10278, 2669, 1005, 1680, 12209, 1713, 3313, 1029, 1140, 1009, 1249, 1342, 16528, 1043, 8596, 1009, 19723, 3474, 1469, 8837, 1257, 36, 4211, 1878, 2426, 32, 1257, 36, 1972, 1006, 2915, 23091, 1257, 1972, 1006, 2915, 23091, 1257, 1175, 1675, 7953, 89, 1009, 8794, 1009, 1249, 1342, 16528, 17006, 1016, 1257, 1175, 1083, 13952, 22051, 71, 13228, 18, 2173, 1278, 9901, 3234, 1257, 1175, 1422, 15953, 3791, 3607, 9901, 3259, 1257, 1175, 1083, 13952, 7953, 1009, 29777, 3340, 9901, 3259, 1257, 19, 1101, 1502, 3176, 1009, 22004, 1009, 27036, 1257, 1175, 1083, 19071, 7953, 1009, 12042, 12000, 1009, 26695, 1257, 1175, 1101, 1502, 3176, 1009, 22004, 1009, 6498, 1257, 1175, 1083, 17721, 1009, 22004, 1009, 2168, 4962, 1009, 4815, 80, 1081, 1257, 1175, 2915, 1005, 26603, 1006, 7482, 1257, 23973, 3088, 1237, 1161, 32, 1257, 23973, 23973, 31841, 21565, 1132, 12838, 1060, 1963, 3567, 2955, 1167, 1124, 8794, 1009, 1249, 1342, 16528, 1005, 24446, 12679, 19, 1728, 8207, 5992, 7636, 1172, 1593, 1018, 21994, 2986, 1005, 10515, 2934, 1124, 8794, 1054, 19367, 1009, 4466, 1009, 18801, 5330, 10702, 2173, 1278, 1006, 22051, 71, 13228, 1005, 9901, 1434, 1132, 15953, 3791, 7425, 3275, 94, 150, 2934, 1005, 7245, 1132, 29777, 1045, 1554, 1257, 1257, 4004, 1482, 1094, 24806, 1038, 2469, 3791, 25061, 3178, 1469, 1054, 1064, 3645, 6571, 1495, 3659, 1011, 7518, 8635, 8207, 5992, 1026, 3178, 1469, 1060, 24806, 1038, 1239, 1043, 1094, 17721, 1005, 1268, 16869, 20, 3064, 16869, 1006, 1340, 11096, 1009, 3178, 1469, 1114, 24806, 1038, 10871, 1257, 1257, 5142, 1972, 1663, 1026, 5443, 4075, 14104, 27036, 1233, 1340, 11096, 1009, 3178, 1469, 8837, 1114, 24806, 1038, 10871, 1106, 1889, 1072, 12042, 12000, 1009, 13178, 6861, 6498, 1005, 2168, 4962, 4815, 80, 9513, 2152, 1167, 1006, 5937, 1006, 1094, 3791, 1171, 1154, 1005, 3791, 25061, 1495, 4244, 7591, 1930, 1118, 2916, 1009, 1307, 7942, 17031, 18438, 1281, 1043, 1963, 1005, 26603, 1006, 7482, 20, 1257, 1257, 6013, 1482, 1094, 18151, 1623, 16137, 14104, 1124, 8794, 1009, 1249, 1342, 76, 3694, 22051, 71, 13228, 18, 29777, 3340, 1005, 15953, 3791, 1402, 1054, 2120, 4927, 1554, 1257, 1655, 10, 1487, 2430, 1292, 2024, 1026, 3178, 1469, 8837, 1058, 25880, 1114, 18151, 1623, 1005, 6534, 1068, 15587, 3144, 1257, 1257, 9884, 9987, 1043, 19282, 1642, 1076, 1169, 19280, 1136, 1005, 3178, 1469, 1011, 7518, 8635, 1257, 1257, 10723, 14254, 1589, 1006, 1963, 1140, 1009, 1249, 1342, 16528, 1043, 19723, 1009, 3178, 1469, 8837, 7573, 20, 1257, 1257, 19510, 32, 1257, 1257, 1175, 2034, 1851, 1013, 1371, 1009, 1048, 1026, 3178, 1469, 5553, 10341, 1495, 1011, 7518, 1526, 1996, 1009, 10072, 9249, 1060, 24806, 1038, 10871, 3782, 5544, 5047, 13396, 1233, 1963, 3567, 1257, 1175, 1138, 19723, 1009, 3178, 1469, 8837, 1976, 1178, 15359, 2574, 1996, 1009, 9126, 1068, 3647, 1224, 5789, 1005, 13396, 1011, 10514, 1377, 1257, 1175, 8017, 1249, 1342, 16528, 24345, 1068, 1026, 1853, 10278, 1005, 29233, 20, 1257, 1175, 3713, 1298, 5047, 12838, 8008, 1159, 2468, 5076, 10739, 3431, 31642, 5076, 1206, 1072, 6238, 4481, 3569, 1006, 2237, 1963, 1140, 1068, 10278, 1005, 13396, 8008, 20, 1257, 1175, 14254, 1589, 1006, 1963, 1140, 1159, 1044, 13465, 10432, 1206, 1044, 19142, 7743, 1043, 1044, 16194, 1011, 7518, 1526, 1213, 25098, 1, 5083, 2334, 16382, 1044, 4288, 1009, 6004, 78, 1072, 14676, 1048, 1857, 6004, 78, 7629, 2241, 9441, 1470, 17321, 2364, 1857, 1257, 1257, 13372, 1048, 6856, 1048, 3598, 24148, 1044, 4288, 1048, 20398, 1072, 24154, 3556, 2100, 37, 1257, 18792, 5262, 32, 1006, 1565, 1841, 33, 1080, 1565, 1160, 1096, 2481, 3754, 33, 1011, 1565, 1160, 1565, 1160, 30051, 3885, 1096, 2481, 1919, 2652, 1063, 8239, 1322, 1261, 1044, 4288, 1072, 14676, 1160, 5420, 2266, 14307, 1068, 7556, 1058, 5756, 1044, 4288, 1072, 24154, 3556, 1206, 15893, 1, 10628, 2335, 32, 4733, 1006, 9348, 1118, 2595, 19, 4990, 1068, 1026, 1062, 1441, 8099, 14689, 4341, 2680, 89, 1072, 2976, 8146, 18084, 21627, 1132, 22982, 1248, 2470, 1046, 1233, 3597, 1986, 1224, 3757, 1422, 3762, 1093, 1068, 8086, 1026, 30800, 1142, 14177, 1118, 1307, 2541, 1054, 17920, 75, 2363, 20, 29837, 15212, 95, 6192, 1233, 3597, 1846, 1009, 1058, 8402, 1009, 1094, 1572, 13241, 1463 ]

[ 4210, 3113, 4210, 3268, 4210, 3042, 4210, 3383, 4210, 3353, 4210, 3370, 4210, 2436, 4210, 3149, 4210, 3261, 4210, 3403, 4210, 2992, 4210, 3049, 4152, 3113, 4152, 3268, 4152, 3042, 4152, 3383, 4152, 3353, 4152, 3370, 4152, 2436, 4152, 3149, 4152, 3261, 4152, 3403, 4152, 2992, 4152, 3049, 4119, 3113, 4119, 3268, 4119, 3042, 4119, 3383, 4119, 3353, 4119, 3370, 4119, 2436, 4119, 3149, 4119, 3261, 4119, 3403, 4119, 2992, 4119, 3049, 3977, 3113, 3977, 3268, 3977, 3042, 3977, 3383, 3977, 3353, 3977, 3370, 3977, 2436, 3977, 3149, 3977, 3261, 3977, 3403, 3977, 2992, 3977, 3049, 4127, 3113, 4127, 3268, 4127, 3042, 4127, 3383, 4127, 3353, 4127, 3370, 4127, 2436, 4127, 3149, 4127, 3261, 4127, 3403, 4127, 2992, 4127, 3049, 3837, 3113, 3837, 3268, 3837, 3042, 3837, 3383, 3837, 3353, 3837, 3370, 3837, 2436, 3837, 3149, 3837, 3261, 3837, 1, 1776, 9104, 1060, 9050, 1049, 1128, 1943, 1137, 4594, 1187, 2193, 1029, 2450, 1018, 1005, 1271, 1569, 4957, 5129, 1026, 13457, 1009, 2458, 1689, 1325, 1006, 6825, 19578, 2271, 1026, 1852, 1009, 6813, 6978, 1009, 27766, 1048, 10416, 83, 1072, 1307, 0, 8733, 1009, 1752, 22085, 4116, 2729, 1009, 4229, 1596, 6275, 31, 1132, 7287, 1048, 1054, 2322, 3540, 9450, 1273, 18359, 30300, 1118, 1044, 2285, 8407, 1009, 1101, 8929, 2106, 23866, 28591, 1130, 8152, 1867, 3784, 1026, 1428, 18728, 2539, 6299, 1009, 13260, 6843, 1259, 3988, 1371, 1620, 1048, 1072, 1901, 4995, 2237, 8515, 6676, 1079, 2256, 3540, 26892, 28338, 1016, 1160, 1058, 23866, 4855, 3121, 1726, 4034, 9440, 1065, 25849, 1349, 1124, 2688, 6011, 1094, 18920, 4612, 1009, 2224, 7287, 1118, 3597, 20, 1972, 2247, 1481, 1273, 1798, 2923, 1620, 1044, 18126, 1009, 4983, 1029, 1140, 4932, 3261, 1349, 1006, 10352, 1009, 1044, 15334, 2120, 4084, 4932, 3268, 15, 1005, 2156, 3540, 7756, 2565, 1094, 19556, 1006, 1044, 2417, 1009, 15315, 24233, 1005, 2924, 1006, 6900, 1049, 2638, 6830, 1303, 1009, 25136, 15467, 8964, 1009, 15884, 1533, 1415, 1271, 8111, 14387, 11041, 1072, 9313, 74, 5701, 1049, 2079, 1375, 2586, 1026, 1746, 9823, 4894, 1049, 1184, 8030, 15334, 2120, 4084, 1049, 1784, 4351, 1620, 2089, 1984, 14387, 1009, 27766, 1005, 1094, 2290, 1033, 1747, 2528, 1094, 1271, 10486, 11041, 1054, 15401, 1482, 3209, 4548, 1566, 2224, 12310, 2768, 1312, 1005, 1132, 13967, 1054, 6098, 13590, 26223, 2495, 1044, 1187, 4496, 5891, 1844, 4655, 1696, 1844, 3502, 21, 9742, 24, 1779, 5562, 1782, 2639, 18664, 1124, 12310, 1009, 3209, 32, 2971, 21, 2081, 1984, 21, 2084, 3186, 21, 2394, 1578, 21, 2471, 2182, 21, 2400, 1158, 21, 2443, 1578, 21, 2525, 1984, 21, 2414, 1204, 21, 2534, 2128, 7447, 18, 3186, 8674, 1005, 1204, 9062, 1533, 8515, 1096, 25479, 1356, 13457, 1009, 2458, 1689, 1005, 2612, 1043, 1026, 3790, 1060, 5744, 6120, 4042, 1034, 4429, 20282, 1059, 17816, 9117, 1729, 1009, 2458, 1689, 4673, 31, 1783, 3247, 1029, 1140, 19578, 31051, 89, 8042, 18143, 0, 11888, 1660, 1049, 10693, 16462, 1221, 1049, 5774, 1729, 1009, 2458, 1689, 10222, 1314, 2923, 1072, 4995, 1531, 2322, 1009, 12673, 2691, 2322, 5207, 1172, 18, 1072, 25941, 1060, 4769, 1060, 5027, 1009, 2458, 5425, 1026, 4004, 0, 28972, 2228, 4152, 8018, 73, 1729, 1009, 2458, 1689, 2922, 1006, 2593, 1114, 16442, 1009, 13926, 1009, 6458, 4045, 58, 50, 7199, 2991, 1060, 3536, 11535, 1026, 12037, 1009, 2458, 1689, 6192, 1006, 1663, 1371, 11042, 1114, 16442, 1009, 13926, 1009, 6458, 7218, 0, 8914, 25, 1570, 4127, 1797, 20944, 12217, 1213, 1238, 4458, 1072, 12037, 1009, 2458, 1689, 1605, 13457, 1009, 2458, 1689, 12132, 1044, 15135, 1043, 1026, 4632, 1049, 10949, 1005, 1049, 27963, 27415, 1071, 9761, 15, 1072, 5239, 1009, 7005, 0, 8914, 26, 7099, 4152, 8018, 73, 1729, 1009, 2458, 1689, 17960, 1114, 21634, 0, 3536, 1060, 1106, 58, 50, 1605, 12037, 1009, 2458, 1689, 2922, 1006, 2593, 17960, 1463, 4029, 30571, 6842, 1009, 12834, 1005, 2429, 5326, 1846, 1060, 1224, 0, 27636, 1134, 1367, 4119, 25784, 22148, 1009, 1134, 1069, 1072, 12037, 1009, 2458, 1689, 1605, 13457, 1009, 2458, 1689, 2922, 1006, 2764, 1024, 1124, 17726, 1009, 5874, 1043, 1184, 1094, 3536, 1049, 3366, 1134, 1166, 1072, 8719, 15904, 15121, 0, 20817, 4510, 4229, 10664, 13428, 7971, 1322, 4623, 13633, 2332, 21146, 1049, 5774, 1729, 1009, 2458, 1689, 1605, 13457, 1009, 2458, 1689, 1325, 1006, 6825, 1006, 6477, 1049, 20991, 7971, 23237, 1029, 1589, 17458, 1126, 12651, 1990, 1005, 17678, 1049, 4623, 13633, 2332, 21146, 1049, 5774, 1729, 0, 27500, 2642, 88, 4210, 1691, 30895, 89, 29013, 2445, 3174, 22271, 25839, 1118, 2693, 1006, 2779, 1049, 12037, 1009, 2458, 1689, 1605, 11434, 20917, 1422, 45, 2373, 52, 20132, 28392, 1333, 626, 1009, 2458, 1689, 1054, 10638, 1043, 1026, 13457, 1009, 2458, 5425, 3765, 3004, 2738, 1233, 7350, 1009, 0, 28972, 7900, 3209, 8018, 73, 1729, 1009, 2458, 1689, 14822, 1006, 1277, 1266, 1009, 1799, 24282, 21463, 1043, 3159, 1009, 17026, 10394, 29196, 4093, 1006, 6222, 1213, 2999, 1049, 10721, 1009, 3584, 20259, 2154, 14859, 1068, 1026, 3867, 1531, 1204, 1009, 11689, 1026, 12037, 0, 8914, 26, 5164, 3977, 1797, 1017, 6364, 1130, 1093, 1005, 1026, 5774, 1729, 1009, 2458, 1689, 1605, 10644, 1130, 1093, 5857, 5525, 1837, 5395, 1229, 7629, 1400, 17584, 1005, 4374, 2227, 1005, 3615, 10894, 13435, 4109, 1009, 9613, 1026, 2950, 1096, 2631, 0, 28972, 7099, 3209, 8018, 73, 1729, 1009, 2458, 1689, 17508, 1009, 2360, 3444, 1009, 26497, 1121, 1043, 4639, 1009, 21720, 1990, 1054, 1557, 2733, 1605, 13457, 1009, 2458, 1689, 17508, 1009, 1094, 2360, 7049, 4708, 1009, 1587, 24115, 1009, 8917, 12828, 1387, 8499, 1074, 6244, 3983, 1138, 3489, 1060, 12460, 0, 5, 2708, 7900, 3209, 14917, 1082, 2415, 1005, 24362, 1910, 11556, 1068, 27234, 1009, 9928, 89, 1049, 5774, 1729, 1009, 2458, 1689, 29746, 2309, 25666, 1605, 2670, 1060, 4338, 4708, 1009, 2458, 5425, 6318, 17403, 24367, 1324, 19322, 1114, 13790, 1531, 3939, 1009, 12673, 2088, 5278, 1009, 0, 20817, 7900, 4229, 8018, 73, 1729, 1009, 2458, 1689, 6698, 3398, 26304, 9530, 1010, 2324, 2104, 6973, 1009, 9050, 1060, 15364, 1009, 14947, 1118, 1751, 1060, 17224, 1026, 13457, 1009, 2458, 5425, 1054, 8616, 1034, 1043, 1006, 0, 27636, 1570, 4127, 5168, 1316, 1346, 1060, 6477, 1009, 5139, 1053, 1312, 1005, 5139, 4146, 1009, 1288, 7691, 1072, 12037, 1009, 2458, 1689, 1605, 8737, 4708, 1009, 15785, 5947, 15027, 1048, 1058, 3250, 16008, 1006, 6477, 1009, 10738, 1312, 1005, 1048, 4146, 1009, 1288, 7691, 1072, 0, 5, 3531, 24770, 4229, 1467, 1088, 9461, 1009, 6015, 27001, 1049, 9980, 1007, 10563, 1479, 11446, 9953, 7344, 12037, 1009, 2458, 1689, 1605, 6168, 1060, 4338, 1009, 6015, 27001, 1049, 9980, 20641, 1672, 1054, 11446, 25918, 7062, 1009, 7344, 1213, 12037, 1009, 2458, 1689, 1294, 0, 8914, 26, 2642, 88, 4119, 8018, 73, 1729, 1009, 2458, 1689, 17960, 1118, 2156, 3674, 1016, 1114, 1852, 1049, 21321, 2769, 1009, 26515, 2503, 1087, 13442, 1294, 2250, 2322, 1005, 3186, 1009, 13028, 1006, 22125, 2172, 6410, 1647, 3543, 1049, 21321, 2769, 1009, 26515, 20, 11014, 4415, 1596, 20956, 2905, 0, 5, 3459, 2642, 88, 4579, 10888, 1139, 2184, 1060, 5998, 15770, 1152, 22822, 1049, 9723, 1152, 15373, 1107, 18025, 1152, 19059, 3003, 1152, 1535, 1636, 1149, 1152, 5180, 15925, 1005, 11187, 1152, 9598, 1009, 14087, 2401, 1152, 10858, 1009, 3015, 2758, 1394, 1152, 17974, 47, 3038, 8892, 2856, 3886, 28, 1799, 3531, 1984, 24, 1152, 1128, 4186, 19521, 2536, 4673, 23, 3734, 24, 1675, 3663, 19965, 1152, 1084, 3936, 39, 4414, 32, 2357, 38, 16306, 19, 1078, 12111, 1722, 13389, 2337, 8704, 2708, 30091, 3117, 95, 8153, 89, 7833, 7536, 1138, 3482, 1459, 12461, 7824, 7897, 10177, 12796, 3334, 1009, 24394, 18955, 11731, 7344, 1026, 2930, 13407, 1264, 1298, 11580, 2266, 1357, 2290, 1049, 1235, 9740, 1009, 3140, 31467, 4215, 1114, 1871, 1009, 7547, 11393, 7216, 1298, 8383, 1569, 12972, 1009, 3122, 1139, 3843, 1138, 15490, 1009, 2088, 4267, 1009, 9983, 1298, 13584, 1224, 3513, 1009, 13031, 1072, 2930, 2788, 1005, 1294, 3140, 1048, 10067, 1554, 1, 19984, 32, 1766, 9088, 1068, 1006, 18841, 1060, 20170, 1717, 5145, 1048, 1624, 5997, 1213, 29105, 1006, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1479, 1505, 8503, 1052, 17950, 79, 1175, 8123, 40, 21249, 15279, 2299, 3141, 2634, 22624, 27037, 2339, 1779, 6259, 1175, 1011, 80, 2475, 23, 8674, 24, 1175, 21313, 1112, 1175, 6203, 1759, 1259, 1175, 14615, 2856, 8149, 5207, 1175, 1578, 5207, 11632, 2830, 15, 4984, 2708, 11088, 3851, 29, 3141, 12968, 2192, 7216, 5, 25653, 1049, 8986, 2408, 7133, 24533, 8018, 9426, 1026, 8123, 40, 21249, 2503, 18314, 1242, 13758, 1097, 1434, 1371, 26373, 1009, 14797, 3008, 22907, 9357, 8249, 4073, 4561, 1480, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 22790, 3485, 27692, 11040, 30805, 1049, 4561, 1304, 11740, 29, 8704, 1839, 12039, 7484, 26300, 12039, 27, 9958, 30, 13389, 1442, 8704, 2708, 27419, 1291, 1009, 6782, 4561, 10540, 1797, 8560, 1009, 11609, 4561, 24956, 1479, 25775, 10428, 1759, 1512, 5781, 1009, 11793, 1606, 1797, 3173, 1009, 1205, 16562, 8018, 10020, 5577, 18294, 1940, 1021, 1662, 1034, 4561, 10540, 4073, 8699, 1576, 1171, 1188, 1009, 12102, 5068, 1467, 2184, 4561, 24956, 3008, 1259, 1069, 25814, 1304, 3008, 1097, 6160, 9059, 3737, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 29546, 3564, 1669, 17015, 2530, 2503, 6249, 10771, 29418, 17985, 2503, 10915, 18305, 1654, 2487, 1014, 3923, 3341, 1189, 1794, 1221, 10814, 1440, 3259, 3008, 1259, 4012, 1112, 5168, 92, 1337, 2324, 1017, 1183, 2503, 1087, 4907, 11068, 7876, 1383, 16033, 27389, 9298, 1252, 1691, 13196, 17015, 1477, 32, 1766, 9088, 1068, 1006, 18841, 1060, 20170, 1717, 5145, 1048, 1624, 5997, 1213, 29105, 1006, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1479, 1505, 8503, 1052, 17950, 79, 7133, 24533, 8018, 9426, 1026, 8123, 40, 21249, 2503, 18314, 1242, 13758, 1097, 1434, 1371, 26373, 1009, 14797, 3008, 22907, 9357, 8249, 4073, 4561, 1480, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 22790, 3485, 27692, 11040, 30805, 1049, 4561, 1304, 11740, 29, 8704, 1839, 12039, 7484, 26300, 12039, 27, 9958, 30, 13389, 1442, 8704, 2708, 27419, 1291, 1009, 6782, 4561, 10540, 1797, 8560, 1009, 11609, 4561, 24956, 1479, 25775, 10428, 1759, 1512, 5781, 1009, 11793, 1606, 1797, 3173, 1009, 1205, 16562, 8018, 10020, 5577, 18294, 1940, 1021, 1662, 1034, 4561, 10540, 4073, 8699, 1576, 1171, 1188, 1009, 12102, 5068, 1467, 2184, 4561, 24956, 3008, 1259, 1069, 25814, 1304, 3008, 1097, 6160, 9059, 3737, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 29546, 3564, 1669, 17015, 2530, 2503, 6249, 10771, 29418, 17985, 2503, 10915, 18305, 1654, 2487, 1014, 3923, 3341, 1189, 1794, 1221, 10814, 1440, 3259, 3008, 1259, 4012, 1112, 5168, 92, 1337, 2324, 1017, 1183, 2503, 1087, 4907, 11068, 7876, 1383, 16033, 27389, 9298, 1252, 20624, 10171, 1026, 7920, 48, 29731, 1079, 1026, 11350, 1009, 1048, 1006, 18841, 1060, 20170, 1717, 5145, 1048, 1624, 5997, 1213, 1109, 2014, 1091, 19, 2632, 6952, 1006, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1294, 12211, 1009, 15474, 1009, 5554, 1005, 5641, 7985, 12633, 2189, 1009, 6048, 16055, 4163, 1054, 2237, 1222, 1009, 26211, 1837, 14223, 1009, 3159, 1009, 10758, 2051, 1068, 1006, 5641, 1009, 13106, 18, 1847, 1048, 1006, 11874, 1049, 3467, 3995, 1618, 1922, 1009, 13106, 15, 1096, 4661, 2691, 25398, 1170, 25478, 13745, 1026, 1011, 25249, 1060, 4380, 2307, 1054, 9032, 1096, 1006, 5579, 1009, 9430, 1357, 25398, 1007, 1071, 17133, 3857, 15, 1213, 29105, 19006, 1036, 3298, 1349, 12552, 20170, 1717, 1410, 1672, 1060, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1533, 18841, 3987, 20170, 1976, 1178, 1006, 1527, 1236, 1114, 10091, 1049, 6782, 1049, 20222, 15407, 30157, 1048, 1058, 1211, 2528, 1054, 8263, 18, 1009, 2869, 1009, 7357, 20498, 1916, 1101, 0, 1005, 1307, 0, 1049, 6612, 41, 11913, 1118, 1735, 1124, 25398, 1170, 1327, 1783, 30100, 1048, 3967, 1046, 3140, 1743, 20801, 1006, 22374, 1009, 22117, 1114, 8766, 2170, 1118, 1224, 5326, 1026, 29105, 1096, 3271, 7192, 1048, 9606, 1058, 19447, 1049, 1048, 26371, 11372, 1619, 1819, 1006, 5681, 27118, 15, 1114, 6758, 1009, 28184, 1304, 1852, 21761, 7899, 1026, 7453, 1009, 10319, 1049, 29908, 17508, 1365, 1569, 2728, 4065, 1006, 3750, 4196, 2590, 1009, 4734, 12908, 1005, 5864, 1322, 1132, 2625, 3195, 1005, 3140, 1233, 10001, 1049, 3472, 15407, 1043, 1579, 2484, 10758, 1009, 3627, 2485, 3437, 21890, 8902, 20, 9663, 24234, 1898, 625, 16628, 20, 1675, 0, 1479, 1764, 3997, 16832, 1049, 10776, 1898, 14, 0, 1308, 7251, 1479, 1006, 4734, 12908, 1005 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4210, 3113, 4210, 3268, 4210, 3042, 4210, 3383, 4210, 3353, 4210, 3370, 4210, 2436, 4210, 3149, 4210, 3261, 4210, 3403, 4210, 2992, 4210, 3049, 4152, 3113, 4152, 3268, 4152, 3042, 4152, 3383, 4152, 3353, 4152, 3370, 4152, 2436, 4152, 3149, 4152, 3261, 4152, 3403, 4152, 2992, 4152, 3049, 4119, 3113, 4119, 3268, 4119, 3042, 4119, 3383, 4119, 3353, 4119, 3370, 4119, 2436, 4119, 3149, 4119, 3261, 4119, 3403, 4119, 2992, 4119, 3049, 3977, 3113, 3977, 3268, 3977, 3042, 3977, 3383, 3977, 3353, 3977, 3370, 3977, 2436, 3977, 3149, 3977, 3261, 3977, 3403, 3977, 2992, 3977, 3049, 4127, 3113, 4127, 3268, 4127, 3042, 4127, 3383, 4127, 3353, 4127, 3370, 4127, 2436, 4127, 3149, 4127, 3261, 4127, 3403, 4127, 2992, 4127, 3049, 3837, 3113, 3837, 3268, 3837, 3042, 3837, 3383, 3837, 3353, 3837, 3370, 3837, 2436, 3837, 3149, 3837, 3261, 3837, 1, 1776, 9104, 1060, 9050, 1049, 1128, 1943, 1137, 4594, 1187, 2193, 1029, 2450, 1018, 1005, 1271, 1569, 4957, 5129, 1026, 13457, 1009, 2458, 1689, 1325, 1006, 6825, 19578, 2271, 1026, 1852, 1009, 6813, 6978, 1009, 27766, 1048, 10416, 83, 1072, 1307, 0, 8733, 1009, 1752, 22085, 4116, 2729, 1009, 4229, 1596, 6275, 31, 1132, 7287, 1048, 1054, 2322, 3540, 9450, 1273, 18359, 30300, 1118, 1044, 2285, 8407, 1009, 1101, 8929, 2106, 23866, 28591, 1130, 8152, 1867, 3784, 1026, 1428, 18728, 2539, 6299, 1009, 13260, 6843, 1259, 3988, 1371, 1620, 1048, 1072, 1901, 4995, 2237, 8515, 6676, 1079, 2256, 3540, 26892, 28338, 1016, 1160, 1058, 23866, 4855, 3121, 1726, 4034, 9440, 1065, 25849, 1349, 1124, 2688, 6011, 1094, 18920, 4612, 1009, 2224, 7287, 1118, 3597, 20, 1972, 2247, 1481, 1273, 1798, 2923, 1620, 1044, 18126, 1009, 4983, 1029, 1140, 4932, 3261, 1349, 1006, 10352, 1009, 1044, 15334, 2120, 4084, 4932, 3268, 15, 1005, 2156, 3540, 7756, 2565, 1094, 19556, 1006, 1044, 2417, 1009, 15315, 24233, 1005, 2924, 1006, 6900, 1049, 2638, 6830, 1303, 1009, 25136, 15467, 8964, 1009, 15884, 1533, 1415, 1271, 8111, 14387, 11041, 1072, 9313, 74, 5701, 1049, 2079, 1375, 2586, 1026, 1746, 9823, 4894, 1049, 1184, 8030, 15334, 2120, 4084, 1049, 1784, 4351, 1620, 2089, 1984, 14387, 1009, 27766, 1005, 1094, 2290, 1033, 1747, 2528, 1094, 1271, 10486, 11041, 1054, 15401, 1482, 3209, 4548, 1566, 2224, 12310, 2768, 1312, 1005, 1132, 13967, 1054, 6098, 13590, 26223, 2495, 1044, 1187, 4496, 5891, 1844, 4655, 1696, 1844, 3502, 21, 9742, 24, 1779, 5562, 1782, 2639, 18664, 1124, 12310, 1009, 3209, 32, 2971, 21, 2081, 1984, 21, 2084, 3186, 21, 2394, 1578, 21, 2471, 2182, 21, 2400, 1158, 21, 2443, 1578, 21, 2525, 1984, 21, 2414, 1204, 21, 2534, 2128, 7447, 18, 3186, 8674, 1005, 1204, 9062, 1533, 8515, 1096, 25479, 1356, 13457, 1009, 2458, 1689, 1005, 2612, 1043, 1026, 3790, 1060, 5744, 6120, 4042, 1034, 4429, 20282, 1059, 17816, 9117, 1729, 1009, 2458, 1689, 4673, 31, 1783, 3247, 1029, 1140, 19578, 31051, 89, 8042, 18143, 0, 11888, 1660, 1049, 10693, 16462, 1221, 1049, 5774, 1729, 1009, 2458, 1689, 10222, 1314, 2923, 1072, 4995, 1531, 2322, 1009, 12673, 2691, 2322, 5207, 1172, 18, 1072, 25941, 1060, 4769, 1060, 5027, 1009, 2458, 5425, 1026, 4004, 0, 28972, 2228, 4152, 8018, 73, 1729, 1009, 2458, 1689, 2922, 1006, 2593, 1114, 16442, 1009, 13926, 1009, 6458, 4045, 58, 50, 7199, 2991, 1060, 3536, 11535, 1026, 12037, 1009, 2458, 1689, 6192, 1006, 1663, 1371, 11042, 1114, 16442, 1009, 13926, 1009, 6458, 7218, 0, 8914, 25, 1570, 4127, 1797, 20944, 12217, 1213, 1238, 4458, 1072, 12037, 1009, 2458, 1689, 1605, 13457, 1009, 2458, 1689, 12132, 1044, 15135, 1043, 1026, 4632, 1049, 10949, 1005, 1049, 27963, 27415, 1071, 9761, 15, 1072, 5239, 1009, 7005, 0, 8914, 26, 7099, 4152, 8018, 73, 1729, 1009, 2458, 1689, 17960, 1114, 21634, 0, 3536, 1060, 1106, 58, 50, 1605, 12037, 1009, 2458, 1689, 2922, 1006, 2593, 17960, 1463, 4029, 30571, 6842, 1009, 12834, 1005, 2429, 5326, 1846, 1060, 1224, 0, 27636, 1134, 1367, 4119, 25784, 22148, 1009, 1134, 1069, 1072, 12037, 1009, 2458, 1689, 1605, 13457, 1009, 2458, 1689, 2922, 1006, 2764, 1024, 1124, 17726, 1009, 5874, 1043, 1184, 1094, 3536, 1049, 3366, 1134, 1166, 1072, 8719, 15904, 15121, 0, 20817, 4510, 4229, 10664, 13428, 7971, 1322, 4623, 13633, 2332, 21146, 1049, 5774, 1729, 1009, 2458, 1689, 1605, 13457, 1009, 2458, 1689, 1325, 1006, 6825, 1006, 6477, 1049, 20991, 7971, 23237, 1029, 1589, 17458, 1126, 12651, 1990, 1005, 17678, 1049, 4623, 13633, 2332, 21146, 1049, 5774, 1729, 0, 27500, 2642, 88, 4210, 1691, 30895, 89, 29013, 2445, 3174, 22271, 25839, 1118, 2693, 1006, 2779, 1049, 12037, 1009, 2458, 1689, 1605, 11434, 20917, 1422, 45, 2373, 52, 20132, 28392, 1333, 626, 1009, 2458, 1689, 1054, 10638, 1043, 1026, 13457, 1009, 2458, 5425, 3765, 3004, 2738, 1233, 7350, 1009, 0, 28972, 7900, 3209, 8018, 73, 1729, 1009, 2458, 1689, 14822, 1006, 1277, 1266, 1009, 1799, 24282, 21463, 1043, 3159, 1009, 17026, 10394, 29196, 4093, 1006, 6222, 1213, 2999, 1049, 10721, 1009, 3584, 20259, 2154, 14859, 1068, 1026, 3867, 1531, 1204, 1009, 11689, 1026, 12037, 0, 8914, 26, 5164, 3977, 1797, 1017, 6364, 1130, 1093, 1005, 1026, 5774, 1729, 1009, 2458, 1689, 1605, 10644, 1130, 1093, 5857, 5525, 1837, 5395, 1229, 7629, 1400, 17584, 1005, 4374, 2227, 1005, 3615, 10894, 13435, 4109, 1009, 9613, 1026, 2950, 1096, 2631, 0, 28972, 7099, 3209, 8018, 73, 1729, 1009, 2458, 1689, 17508, 1009, 2360, 3444, 1009, 26497, 1121, 1043, 4639, 1009, 21720, 1990, 1054, 1557, 2733, 1605, 13457, 1009, 2458, 1689, 17508, 1009, 1094, 2360, 7049, 4708, 1009, 1587, 24115, 1009, 8917, 12828, 1387, 8499, 1074, 6244, 3983, 1138, 3489, 1060, 12460, 0, 5, 2708, 7900, 3209, 14917, 1082, 2415, 1005, 24362, 1910, 11556, 1068, 27234, 1009, 9928, 89, 1049, 5774, 1729, 1009, 2458, 1689, 29746, 2309, 25666, 1605, 2670, 1060, 4338, 4708, 1009, 2458, 5425, 6318, 17403, 24367, 1324, 19322, 1114, 13790, 1531, 3939, 1009, 12673, 2088, 5278, 1009, 0, 20817, 7900, 4229, 8018, 73, 1729, 1009, 2458, 1689, 6698, 3398, 26304, 9530, 1010, 2324, 2104, 6973, 1009, 9050, 1060, 15364, 1009, 14947, 1118, 1751, 1060, 17224, 1026, 13457, 1009, 2458, 5425, 1054, 8616, 1034, 1043, 1006, 0, 27636, 1570, 4127, 5168, 1316, 1346, 1060, 6477, 1009, 5139, 1053, 1312, 1005, 5139, 4146, 1009, 1288, 7691, 1072, 12037, 1009, 2458, 1689, 1605, 8737, 4708, 1009, 15785, 5947, 15027, 1048, 1058, 3250, 16008, 1006, 6477, 1009, 10738, 1312, 1005, 1048, 4146, 1009, 1288, 7691, 1072, 0, 5, 3531, 24770, 4229, 1467, 1088, 9461, 1009, 6015, 27001, 1049, 9980, 1007, 10563, 1479, 11446, 9953, 7344, 12037, 1009, 2458, 1689, 1605, 6168, 1060, 4338, 1009, 6015, 27001, 1049, 9980, 20641, 1672, 1054, 11446, 25918, 7062, 1009, 7344, 1213, 12037, 1009, 2458, 1689, 1294, 0, 8914, 26, 2642, 88, 4119, 8018, 73, 1729, 1009, 2458, 1689, 17960, 1118, 2156, 3674, 1016, 1114, 1852, 1049, 21321, 2769, 1009, 26515, 2503, 1087, 13442, 1294, 2250, 2322, 1005, 3186, 1009, 13028, 1006, 22125, 2172, 6410, 1647, 3543, 1049, 21321, 2769, 1009, 26515, 20, 11014, 4415, 1596, 20956, 2905, 0, 5, 3459, 2642, 88, 4579, 10888, 1139, 2184, 1060, 5998, 15770, 1152, 22822, 1049, 9723, 1152, 15373, 1107, 18025, 1152, 19059, 3003, 1152, 1535, 1636, 1149, 1152, 5180, 15925, 1005, 11187, 1152, 9598, 1009, 14087, 2401, 1152, 10858, 1009, 3015, 2758, 1394, 1152, 17974, 47, 3038, 8892, 2856, 3886, 28, 1799, 3531, 1984, 24, 1152, 1128, 4186, 19521, 2536, 4673, 23, 3734, 24, 1675, 3663, 19965, 1152, 1084, 3936, 39, 4414, 32, 2357, 38, 16306, 19, 1078, 12111, 1722, 13389, 2337, 8704, 2708, 30091, 3117, 95, 8153, 89, 7833, 7536, 1138, 3482, 1459, 12461, 7824, 7897, 10177, 12796, 3334, 1009, 24394, 18955, 11731, 7344, 1026, 2930, 13407, 1264, 1298, 11580, 2266, 1357, 2290, 1049, 1235, 9740, 1009, 3140, 31467, 4215, 1114, 1871, 1009, 7547, 11393, 7216, 1298, 8383, 1569, 12972, 1009, 3122, 1139, 3843, 1138, 15490, 1009, 2088, 4267, 1009, 9983, 1298, 13584, 1224, 3513, 1009, 13031, 1072, 2930, 2788, 1005, 1294, 3140, 1048, 10067, 1554, 1, 19984, 32, 1766, 9088, 1068, 1006, 18841, 1060, 20170, 1717, 5145, 1048, 1624, 5997, 1213, 29105, 1006, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1479, 1505, 8503, 1052, 17950, 79, 1175, 8123, 40, 21249, 15279, 2299, 3141, 2634, 22624, 27037, 2339, 1779, 6259, 1175, 1011, 80, 2475, 23, 8674, 24, 1175, 21313, 1112, 1175, 6203, 1759, 1259, 1175, 14615, 2856, 8149, 5207, 1175, 1578, 5207, 11632, 2830, 15, 4984, 2708, 11088, 3851, 29, 3141, 12968, 2192, 7216, 5, 25653, 1049, 8986, 2408, 7133, 24533, 8018, 9426, 1026, 8123, 40, 21249, 2503, 18314, 1242, 13758, 1097, 1434, 1371, 26373, 1009, 14797, 3008, 22907, 9357, 8249, 4073, 4561, 1480, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 22790, 3485, 27692, 11040, 30805, 1049, 4561, 1304, 11740, 29, 8704, 1839, 12039, 7484, 26300, 12039, 27, 9958, 30, 13389, 1442, 8704, 2708, 27419, 1291, 1009, 6782, 4561, 10540, 1797, 8560, 1009, 11609, 4561, 24956, 1479, 25775, 10428, 1759, 1512, 5781, 1009, 11793, 1606, 1797, 3173, 1009, 1205, 16562, 8018, 10020, 5577, 18294, 1940, 1021, 1662, 1034, 4561, 10540, 4073, 8699, 1576, 1171, 1188, 1009, 12102, 5068, 1467, 2184, 4561, 24956, 3008, 1259, 1069, 25814, 1304, 3008, 1097, 6160, 9059, 3737, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 29546, 3564, 1669, 17015, 2530, 2503, 6249, 10771, 29418, 17985, 2503, 10915, 18305, 1654, 2487, 1014, 3923, 3341, 1189, 1794, 1221, 10814, 1440, 3259, 3008, 1259, 4012, 1112, 5168, 92, 1337, 2324, 1017, 1183, 2503, 1087, 4907, 11068, 7876, 1383, 16033, 27389, 9298, 1252, 1691, 13196, 17015, 1477, 32, 1766, 9088, 1068, 1006, 18841, 1060, 20170, 1717, 5145, 1048, 1624, 5997, 1213, 29105, 1006, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1479, 1505, 8503, 1052, 17950, 79, 7133, 24533, 8018, 9426, 1026, 8123, 40, 21249, 2503, 18314, 1242, 13758, 1097, 1434, 1371, 26373, 1009, 14797, 3008, 22907, 9357, 8249, 4073, 4561, 1480, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 22790, 3485, 27692, 11040, 30805, 1049, 4561, 1304, 11740, 29, 8704, 1839, 12039, 7484, 26300, 12039, 27, 9958, 30, 13389, 1442, 8704, 2708, 27419, 1291, 1009, 6782, 4561, 10540, 1797, 8560, 1009, 11609, 4561, 24956, 1479, 25775, 10428, 1759, 1512, 5781, 1009, 11793, 1606, 1797, 3173, 1009, 1205, 16562, 8018, 10020, 5577, 18294, 1940, 1021, 1662, 1034, 4561, 10540, 4073, 8699, 1576, 1171, 1188, 1009, 12102, 5068, 1467, 2184, 4561, 24956, 3008, 1259, 1069, 25814, 1304, 3008, 1097, 6160, 9059, 3737, 2555, 1182, 3352, 1009, 21611, 1016, 1005, 1482, 1078, 1036, 1361, 29546, 3564, 1669, 17015, 2530, 2503, 6249, 10771, 29418, 17985, 2503, 10915, 18305, 1654, 2487, 1014, 3923, 3341, 1189, 1794, 1221, 10814, 1440, 3259, 3008, 1259, 4012, 1112, 5168, 92, 1337, 2324, 1017, 1183, 2503, 1087, 4907, 11068, 7876, 1383, 16033, 27389, 9298, 1252, 20624, 10171, 1026, 7920, 48, 29731, 1079, 1026, 11350, 1009, 1048, 1006, 18841, 1060, 20170, 1717, 5145, 1048, 1624, 5997, 1213, 1109, 2014, 1091, 19, 2632, 6952, 1006, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1294, 12211, 1009, 15474, 1009, 5554, 1005, 5641, 7985, 12633, 2189, 1009, 6048, 16055, 4163, 1054, 2237, 1222, 1009, 26211, 1837, 14223, 1009, 3159, 1009, 10758, 2051, 1068, 1006, 5641, 1009, 13106, 18, 1847, 1048, 1006, 11874, 1049, 3467, 3995, 1618, 1922, 1009, 13106, 15, 1096, 4661, 2691, 25398, 1170, 25478, 13745, 1026, 1011, 25249, 1060, 4380, 2307, 1054, 9032, 1096, 1006, 5579, 1009, 9430, 1357, 25398, 1007, 1071, 17133, 3857, 15, 1213, 29105, 19006, 1036, 3298, 1349, 12552, 20170, 1717, 1410, 1672, 1060, 17688, 1009, 6622, 1006, 10562, 1009, 10758, 2051, 1533, 18841, 3987, 20170, 1976, 1178, 1006, 1527, 1236, 1114, 10091, 1049, 6782, 1049, 20222, 15407, 30157, 1048, 1058, 1211, 2528, 1054, 8263, 18, 1009, 2869, 1009, 7357, 20498, 1916, 1101, 0, 1005, 1307, 0, 1049, 6612, 41, 11913, 1118, 1735, 1124, 25398, 1170, 1327, 1783, 30100, 1048, 3967, 1046, 3140, 1743, 20801, 1006, 22374, 1009, 22117, 1114, 8766, 2170, 1118, 1224, 5326, 1026, 29105, 1096, 3271, 7192, 1048, 9606, 1058, 19447, 1049, 1048, 26371, 11372, 1619, 1819, 1006, 5681, 27118, 15, 1114, 6758, 1009, 28184, 1304, 1852, 21761, 7899, 1026, 7453, 1009, 10319, 1049, 29908, 17508, 1365, 1569, 2728, 4065, 1006, 3750, 4196, 2590, 1009, 4734, 12908, 1005, 5864, 1322, 1132, 2625, 3195, 1005, 3140, 1233, 10001, 1049, 3472, 15407, 1043, 1579, 2484, 10758, 1009, 3627, 2485, 3437, 21890, 8902, 20, 9663, 24234, 1898, 625, 16628, 20, 1675, 0, 1479, 1764, 3997, 16832, 1049, 10776, 1898, 14, 0, 1308, 7251, 1479, 1006, 4734, 12908, 1005 ]

[ 2066, 3012, 14710, 1043, 1264, 2088, 4686, 1005, 1299, 57, 1182, 1461, 1048, 1264, 2257, 1044, 4223, 47, 13980, 1309, 2284, 4805, 3971, 17075, 14949, 31228, 16133, 3950, 7035, 1456, 5870, 1005, 1224, 1834, 7479, 1058, 1169, 1474, 77, 1792, 18, 1264, 3449, 1261, 23103, 1094, 17103, 1184, 4605, 5863, 2277, 4538, 5783, 4440, 12128, 11105, 1005, 1094, 10510, 1009, 1569, 18879, 1463, 16025, 3732, 3172, 28726, 13018, 1294, 13897, 1009, 7220, 1060, 24597, 2739, 2624, 8669, 1157, 1049, 2671, 1005, 1060, 1807, 7271, 1175, 12724, 1048, 1132, 26811, 1826, 11509, 1009, 4236, 1068, 1008, 5430, 1973, 1026, 20811, 6873, 4808, 2611, 3222, 7429, 2201, 29333, 1060, 6935, 1049, 2497, 1060, 9573, 2860, 6603, 18879, 7568, 1648, 13018, 30859, 14434, 16751, 1009, 2303, 1043, 1026, 11111, 1227, 1073, 1220, 1396, 95, 13116, 2686, 1870, 1048, 3118, 6018, 4440, 1009, 20994, 2338, 3709, 1973, 1048, 16133, 3950, 1058, 13447, 1068, 6098, 1009, 1094, 12905, 1009, 4483, 5191, 1118, 1094, 4422, 19002, 1356, 1141, 8754, 5002, 1049, 16029, 1344, 1321, 94, 31336, 4358, 5569, 1119, 3755, 1802, 39, 7271, 2386, 1114, 16345, 30246, 1571, 16133, 3950, 14136, 1044, 2696, 1837, 1184, 1009, 1094, 2937, 2166, 9704, 1048, 1566, 11435, 1044, 1807, 3112, 4213, 1009, 1111, 10671, 1049, 2790, 1009, 2979, 1846, 1048, 1006, 1641, 11331, 1079, 1224, 12186, 1009, 15635, 1068, 9126, 27372, 7314, 6603, 7129, 10680, 1114, 5261, 11999, 1048, 16133, 3950, 4854, 1079, 1072, 24154, 3556, 1009, 4483, 1006, 4152, 1005, 2569, 1094, 9421, 1054, 13893, 3662, 16345, 30246, 1846, 2668, 1264, 5747, 1058, 5525, 1009, 1044, 2269, 1068, 11641, 10680, 1857, 15811, 1325, 5573, 1118, 1048, 1264, 1195, 1006, 1142, 2162, 1730, 1095, 5920, 1006, 2916, 1009, 6514, 16694, 1009, 5514, 33, 7281, 1160, 2257, 15368, 2551, 1347, 9215, 10868, 1044, 1030, 2037, 2364, 20648, 2647, 1048, 25025, 1114, 1641, 1837, 2125, 9683, 1658, 9967, 5483, 1294, 10378, 90, 4707, 19, 2104, 19652, 3728, 1305, 1034, 28162, 2672, 1009, 28721, 4110, 2132, 2109, 27118, 28379, 1054, 3403, 1009, 4152, 1054, 1094, 1641, 1009, 4654, 21503, 18, 24154, 13174, 1973, 1006, 1588, 24436, 2584, 5554, 7492, 3927, 1461, 1048, 1094, 13339, 1009, 6175, 11826, 1195, 1642, 5602, 1005, 9556, 10680, 1048, 1026, 9797, 1098, 1462, 1523, 1304, 3388, 1009, 16133, 3950, 1118, 7692, 27024, 6178, 6105, 1261, 5225, 1188, 1009, 1663, 1006, 1287, 5304, 3885, 1325, 5573, 1118, 1048, 1264, 1195, 23331, 1006, 4883, 1006, 9967, 2286, 7269, 1511, 16133, 3950, 25919, 1094, 12186, 1009, 5407, 26513, 1054, 25412, 12328, 2196, 24154, 13174, 1026, 6491, 1049, 2311, 1014, 5526, 21279, 1006, 13049, 1118, 3865, 1009, 1094, 6862, 3388, 1118, 13866, 29750, 1005, 1094, 15650, 71, 1009, 7427, 22531, 1054, 1235, 8812, 18, 1973, 1026, 2311, 1014, 5526, 4242, 3082, 14469, 1054, 1094, 6521, 15648, 1114, 9137, 7991, 1010, 1791, 9677, 16133, 3950, 2598, 1195, 3163, 1069, 33, 5445, 9069, 1160, 17161, 1026, 20874, 8385, 13893, 1699, 1006, 4371, 82, 1223, 3529, 9637, 2088, 1187, 1184, 11667, 10378, 90, 4707, 1054, 6823, 1187, 23465, 14, 39, 20704, 13993, 21, 8822, 7000, 7860, 2548, 22869, 17470, 1024, 5747, 21585, 1054, 3149, 1009, 7624, 1511, 1264, 1058, 2064, 7709, 3746, 1032, 1278, 1213, 3867, 6276, 1009, 1224, 5380, 15914, 3921, 2196, 1009, 2303, 1043, 6638, 24120, 1166, 1072, 5995, 8676, 1054, 1868, 5727, 12328, 2196, 16345, 77, 2275, 2200, 8669, 1079, 1048, 1026, 8270, 1516, 5102, 4810, 1005, 2793, 1033, 6630, 3461, 1043, 1224, 16692, 30843, 7699, 1118, 1160, 9135, 1026, 20663, 9344, 1132, 6638, 1049, 12609, 4016, 1079, 3950, 2521, 16949, 1150, 2192, 4927, 7332, 8, 1048, 30843, 1434, 16133, 3950, 1973, 1048, 6029, 5396, 2252, 1124, 6786, 1005, 6786, 1060, 2573, 1049, 31693, 1009, 2303, 1043, 1132, 9069, 2893, 4514, 7082, 1996, 1049, 20663, 2277, 1132, 31189, 16133, 3950, 18315, 17939, 8598, 1009, 1224, 2573, 1054, 4654, 21503, 8495, 1495, 1868, 5727, 12328, 95, 1005, 7981, 1072, 2386, 1009, 2011, 1009, 1224, 5380, 1072, 7658, 1049, 19533, 2999, 2386, 3172, 9208, 1048, 1026, 3867, 6276, 11886, 28620, 1406, 10680, 1132, 9069, 4349, 2560, 5738, 16133, 3950, 19322, 1006, 2573, 1009, 2143, 1935, 5328, 1048, 7600, 1006, 6935, 1068, 8669, 1024, 1048, 1006, 1836, 8072, 1157, 2338, 8210, 22651, 1094, 4272, 1009, 9797, 1098, 1462, 1523, 1896, 1068, 16133, 3950, 1986, 1026, 1063, 2531, 1973, 1048, 1225, 1034, 1048, 1264, 4219, 13408, 11607, 1068, 4384, 1005, 1679, 1734, 1406, 10680, 1132, 6638, 2338, 5995, 1318, 22651, 1094, 4272, 1009, 6250, 1054, 7624, 26570, 1048, 1264, 1160, 8027, 1324, 1124, 1117, 21036, 1206, 9608, 4659, 1054, 4280, 1043, 1224, 16692, 1224, 20711, 1026, 1072, 1343, 1206, 1006, 2531, 1049, 1072, 1343, 1658, 2531, 1009, 16133, 3950, 1973, 1048, 1264, 2661, 1199, 1009, 7692, 27024, 1005, 2468, 1393, 25236, 2129, 5454, 1309, 1048, 1264, 1058, 4312, 13338, 1511, 1058, 29830, 1206, 1058, 16069, 1006, 5593, 1006, 5243, 2094, 1009, 2303, 1043, 1044, 2568, 11477, 1658, 7391, 1009, 16133, 3950, 1058, 1058, 12103, 3615, 1054, 3049, 1009, 3977, 1005, 25919, 9094, 1054, 3261, 1068, 20493, 1235, 6276, 1009, 4984, 4844, 5552, 6095, 7475, 16133, 3950, 2284, 1058, 21773, 1005, 1687, 1973, 1048, 1160, 3855, 1571, 9126, 1132, 11409, 1049, 28775, 15774, 1130, 72, 2850, 16133, 3950, 1973, 1679, 5410, 1060, 11518, 1048, 1235, 3372, 1516, 1044, 3372, 4553, 1511, 1687, 1516, 18817, 1973, 5714, 1434, 2312, 21757, 1094, 7668, 1060, 1848, 5028, 9541, 1054, 6521, 19379, 1079, 3950, 19322, 1224, 5380, 1072, 2738, 1009, 1044, 1901, 6509, 1343, 1068, 3371, 1006, 22729, 1224, 2573, 1114, 1848, 5028, 1430, 1005, 5747, 14816, 1532, 7048, 1406, 1973, 9646, 9862, 1224, 2926, 10712, 1058, 2710, 1586, 3205, 1005, 15914, 3921, 2196, 2364, 15310, 1043, 1094, 18817, 1973, 1679, 5410, 1048, 19244, 1026, 1050, 1648, 4860, 16352, 26548, 1048, 1264, 3135, 5593, 5243, 1112, 1005, 1195, 4417, 15704, 3527, 5593, 25236, 1406, 1973, 9646, 20, 625, 5384, 5192, 1048, 1006, 3808, 7673, 1048, 1857, 6011, 1195, 1837, 2916, 1009, 1791, 4844, 16352, 1973, 1048, 1264, 1516, 1493, 8787, 1005, 1160, 5747, 1264, 13445, 1150, 3133, 3808, 12449, 1009, 3753, 16133, 3950, 1043, 1006, 6446, 1060, 3940, 1072, 8210, 1009, 25412, 9096, 1009, 1044, 14477, 1072, 1901, 7755, 1511, 1264, 1195, 16700, 14641, 1009, 1224, 2573, 13927, 3223, 1140, 1114, 16270, 23, 8111, 1037, 12247, 30755, 4454, 1006, 9421, 18, 1309, 6192, 1005, 12860, 1702, 1004, 4906, 1702, 1050, 1330, 31135, 1213, 7137, 1406, 2311, 1014, 5526, 58, 1730, 6943, 18374, 24275, 1048, 1026, 2017, 10133, 1058, 16069, 1006, 17917, 1044, 24328, 1009, 6862, 1009, 16133, 3950, 1879, 3419, 1049, 2017, 6527, 3335, 5218, 1736, 7377, 1324, 1973, 1054, 1094, 6521, 1048, 16133, 3950, 2521, 1026, 2481, 1068, 3417, 1006, 2573, 1098, 1182, 1041, 8342, 625, 54, 1474, 1118, 2252, 1124, 1935, 74, 2223, 41, 1337, 1072, 16581, 675, 4324, 1973, 7377, 1802, 8, 7281, 1657, 1198, 28017, 1022, 6705, 1005, 3711, 8253, 16755, 1006, 10007, 8, 3133, 6935, 1009, 1142, 2162, 1730, 11312, 1973, 1048, 16133, 3950, 1836, 1054, 1044, 2556, 1045, 1675, 1114, 1641, 1009, 2916, 1009, 3114, 6435, 1646, 2271, 1026, 2738, 1009, 3353, 4964, 1235, 28061, 1132, 8419, 12093, 29669, 1843, 1273, 20450, 1005, 1277, 76, 3465, 1400, 16915, 1406, 1973, 1026, 6680, 1060, 6935, 1009, 1142, 2162, 1730, 1095, 5920, 10162, 1062, 12853, 1658, 6929, 17865, 1124, 9447, 15746, 6238, 1005, 5674, 7332, 1009, 16133, 3950, 6470, 3615, 1044, 12899, 23195, 1054, 5283, 1009, 16842, 4290, 1114, 4132, 1060, 23072, 4964, 1044, 7346, 2488, 1175, 12615, 1264, 1058, 11474, 1079, 1009, 1261, 3330, 13329, 1009, 5494, 23016, 6301, 20583, 1121, 5473, 10645, 9344, 1048, 16133, 3950, 1141, 8217, 1079, 1235, 21455, 1309, 1857, 1058, 3442, 1202, 3615, 1159, 1044, 12899, 1048, 9189, 1393, 12732, 1048, 1836, 2752, 2077, 1069, 1043, 1132, 9789, 11361, 1005, 1132, 3997, 1271, 3680, 24035, 1026, 9470, 31742, 2246, 1264, 1516, 20442, 1406, 1973, 6662, 6138, 18, 1141, 1175, 1056, 76, 16561, 1027, 2855, 7281, 1516, 23903, 1005, 1511, 1299, 1325, 7153, 1094, 3271, 1054, 1044, 4299, 1213, 16019, 24218, 14964, 18, 1096, 1616, 1048, 1299, 2572, 15448, 3129, 1009, 16133, 3950, 1836, 15801, 1006, 10142, 1005, 19855, 5563, 1918, 1054, 1150, 3452, 1206, 1158, 8810, 1406, 1973, 6662, 6138, 18, 1048, 1058, 6681, 6452, 1060, 1090, 3803, 18870, 6236, 16133, 3950, 1175, 7732, 1485, 2682, 1044, 24782, 23903, 1406, 1114, 4123, 1009, 6662, 6138, 1175, 2909, 10053, 1717, 1044, 28994, 2386, 1068, 1058, 15399, 1024, 1463, 5729, 1049, 1531, 4860, 7281, 1516, 2446, 1009, 1086, 1019, 5957, 2196, 1044, 1770, 1348, 23195, 1049, 4299, 1406, 14585, 13683, 30843, 9533, 1026, 20583, 1027, 1009, 11260, 1006, 4936, 1060, 2700, 13893, 1093, 3598, 25198, 3153, 8, 3172, 14585, 1048, 16133, 3950, 18948, 1305, 3189, 1068, 1026, 5019, 1060, 7022, 2855, 7281, 2257, 2653, 3171, 12128, 1053, 9010, 2170, 2247, 3987, 25712, 1264, 1516, 1044, 1187, 21524, 1048, 13240, 2433, 1726, 12100, 1060, 1641, 1068, 8669, 1024, 1406, 1973, 30843, 23049, 625, 51, 14869, 1783, 3586, 10064, 1213, 9937, 1060, 1641, 1068, 1663, 1616, 10602, 15816, 43, 16382, 1026, 4299, 1571, 1299, 3012, 3711, 16711, 12997, 7769, 24895, 14949, 3133, 22415, 1132, 20583, 1121, 3442, 9446, 1006, 3560, 3568, 1009, 16133, 3950, 1159, 1044, 2535, 8787, 1005, 28418, 1453, 2338, 3372, 1049, 16653, 1009, 10378, 18, 1123, 1353, 1396, 1207, 9329, 1870, 9241, 1159, 25195, 1304, 10773, 1304, 1049, 8210, 1009, 3127, 1066, 1909, 1802, 39, 8083, 1009, 1235, 3419, 1068, 1989, 7658, 1195, 3442, 1713, 1118, 1044, 14477, 9553, 1026, 21025, 1009, 2088, 7880, 1009, 8861, 1069, 4860, 7281, 2793, 1184, 13338, 1043, 1026, 1557, 1406, 1973, 6662, 6138, 20, 625, 3885, 11830, 20338, 1069, 1511, 20975, 1094, 8262, 1322, 9282, 3885, 1323, 30061, 3048, 1044, 2574, 10078, 1385, 1836, 8857, 20, 14949, 12292, 1079, 3950, 1160, 1516, 28962, 1009, 26833, 1160, 1493, 3630, 1187, 1734, 11988, 4532, 4570, 1357, 5405, 24488, 1009, 3175, 2052, 2971, 24, 1049, 7321, 1045, 1675, 4043, 10781, 11988, 1160, 11863, 2791, 150, 18048, 1592, 1846, 1048, 1224, 4137, 1195, 18818, 1140, 1463, 20072, 1009, 3546, 1114, 5261, 11999, 8000, 12327, 1599, 10255, 1134, 4396, 1870, 16681, 2864, 1973, 1048, 15817, 3046, 2290, 16133, 3950, 1114, 4671, 14514, 28240, 1005, 28240, 1049, 2556, 1045, 2855, 7281, 1516, 3181, 1599, 1680, 22102, 1406, 1973, 18159, 2048, 2338, 4753, 1341, 2745, 16133, 3950, 5554, 1589, 13513, 1072, 9361, 1009, 21913, 1049, 1123, 2890, 2561, 73, 1054, 3349, 1213, 2556, 3947, 10680, 18159, 2048, 1005, 1734, 1113, 625, 54, 1219, 1024, 1048, 1264, 3012, 1261, 2281, 1657, 2350, 5584, 1728, 132, 1094, 28899, 10811, 1973, 18159, 2048, 20, 625, 54, 1085, 3165, 1261, 2281, 3230, 5790, 1048, 1848, 1213, 7154, 37, 7281, 3012, 1261, 28897, 1009, 4361, 1054, 4361, 17154, 1077, 1054, 3230, 5981, 1160, 1381, 5239, 2855, 6497, 1081, 19143, 7597, 24706, 1094, 3897, 1060, 9573, 8107, 1973, 1233, 25275, 1048, 2539, 2250, 1996, 1049, 30616, 2037, 16133, 3950, 1058, 9853, 5493, 1005, 1044, 5399, 1054, 1044, 1080, 1105, 15276, 1054, 1142, 2162, 1730, 11312, 13930, 1068, 20062, 1031, 1787, 1235, 16431, 3172, 2276, 8691, 1132, 5513, 31331, 1544, 4016, 1079, 3950, 1973, 1006, 7597, 3448, 1048, 2284, 1795, 1069, 1235, 16173, 1005, 1048, 26624, 1048, 1124, 1783, 12201, 1261, 1094, 2596, 4445, 1009, 11410, 18725, 6485, 8754, 6009, 1094, 1008, 1690, 1814, 1005, 1150, 19870, 1157, 1043, 1044, 11957, 1069, 1406, 1687, 14585, 4860, 51, 1328, 11719, 9564, 1005, 15793, 32, 1538, 2959, 1325, 3711, 10977, 37, 13, 1406, 4967, 1117, 7597, 79, 2652, 625, 7281, 13145, 1094, 7182, 1005, 1657, 18001, 1006, 8669, 1024, 2912, 5384, 1323, 15519, 1493, 30284, 8342, 14949, 1110, 61, 20315, 1313, 1056, 1054, 1142, 2162, 1730, 1095, 5920, 1142, 1377, 1084, 1067, 7194, 11794, 5146, 5121, 26484, 18880, 30050, 4510, 1434, 1128, 8655, 16759, 22101, 1018, 1005, 3720, 1208, 24465, 20065, 1054, 7000, 23663, 1068, 1668, 6840, 10774, 1026, 30616, 1047, 22793, 1054, 1142, 2162, 1730, 1095, 5920, 9573, 8107, 9096, 1048, 1026, 17154, 16608, 3753, 25412, 1207, 9329, 1870, 2257, 1094, 2042, 1009, 5946, 10712, 1005, 1094, 1210, 2602, 1149, 1009, 4680, 3164, 1054, 2869, 1726, 13591, 28669, 1005, 1946, 4838, 4964, 7624, 16133, 3950, 1195, 12700, 1009, 29735, 1224, 5380, 2170, 2271, 6021, 1264, 2257, 1044, 6083, 1009, 8568, 1009, 5762, 10180, 11282, 10931, 1224, 2531, 1005, 1847, 6774, 1140, 1009, 1224, 5380, 7366, 11810, 1318, 18271, 1048, 16133, 3950, 1298, 1261, 2281, 1068, 1044, 3439, 1184, 14008, 1348, 1005, 3909, 10908, 33, 45, 24832, 12128, 11105, 1114, 23072, 4905, 1046, 16133, 3950, 1009, 1058, 13699, 1068, 6098 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2066, 3012, 14710, 1043, 1264, 2088, 4686, 1005, 1299, 57, 1182, 1461, 1048, 1264, 2257, 1044, 4223, 47, 13980, 1309, 2284, 4805, 3971, 17075, 14949, 31228, 16133, 3950, 7035, 1456, 5870, 1005, 1224, 1834, 7479, 1058, 1169, 1474, 77, 1792, 18, 1264, 3449, 1261, 23103, 1094, 17103, 1184, 4605, 5863, 2277, 4538, 5783, 4440, 12128, 11105, 1005, 1094, 10510, 1009, 1569, 18879, 1463, 16025, 3732, 3172, 28726, 13018, 1294, 13897, 1009, 7220, 1060, 24597, 2739, 2624, 8669, 1157, 1049, 2671, 1005, 1060, 1807, 7271, 1175, 12724, 1048, 1132, 26811, 1826, 11509, 1009, 4236, 1068, 1008, 5430, 1973, 1026, 20811, 6873, 4808, 2611, 3222, 7429, 2201, 29333, 1060, 6935, 1049, 2497, 1060, 9573, 2860, 6603, 18879, 7568, 1648, 13018, 30859, 14434, 16751, 1009, 2303, 1043, 1026, 11111, 1227, 1073, 1220, 1396, 95, 13116, 2686, 1870, 1048, 3118, 6018, 4440, 1009, 20994, 2338, 3709, 1973, 1048, 16133, 3950, 1058, 13447, 1068, 6098, 1009, 1094, 12905, 1009, 4483, 5191, 1118, 1094, 4422, 19002, 1356, 1141, 8754, 5002, 1049, 16029, 1344, 1321, 94, 31336, 4358, 5569, 1119, 3755, 1802, 39, 7271, 2386, 1114, 16345, 30246, 1571, 16133, 3950, 14136, 1044, 2696, 1837, 1184, 1009, 1094, 2937, 2166, 9704, 1048, 1566, 11435, 1044, 1807, 3112, 4213, 1009, 1111, 10671, 1049, 2790, 1009, 2979, 1846, 1048, 1006, 1641, 11331, 1079, 1224, 12186, 1009, 15635, 1068, 9126, 27372, 7314, 6603, 7129, 10680, 1114, 5261, 11999, 1048, 16133, 3950, 4854, 1079, 1072, 24154, 3556, 1009, 4483, 1006, 4152, 1005, 2569, 1094, 9421, 1054, 13893, 3662, 16345, 30246, 1846, 2668, 1264, 5747, 1058, 5525, 1009, 1044, 2269, 1068, 11641, 10680, 1857, 15811, 1325, 5573, 1118, 1048, 1264, 1195, 1006, 1142, 2162, 1730, 1095, 5920, 1006, 2916, 1009, 6514, 16694, 1009, 5514, 33, 7281, 1160, 2257, 15368, 2551, 1347, 9215, 10868, 1044, 1030, 2037, 2364, 20648, 2647, 1048, 25025, 1114, 1641, 1837, 2125, 9683, 1658, 9967, 5483, 1294, 10378, 90, 4707, 19, 2104, 19652, 3728, 1305, 1034, 28162, 2672, 1009, 28721, 4110, 2132, 2109, 27118, 28379, 1054, 3403, 1009, 4152, 1054, 1094, 1641, 1009, 4654, 21503, 18, 24154, 13174, 1973, 1006, 1588, 24436, 2584, 5554, 7492, 3927, 1461, 1048, 1094, 13339, 1009, 6175, 11826, 1195, 1642, 5602, 1005, 9556, 10680, 1048, 1026, 9797, 1098, 1462, 1523, 1304, 3388, 1009, 16133, 3950, 1118, 7692, 27024, 6178, 6105, 1261, 5225, 1188, 1009, 1663, 1006, 1287, 5304, 3885, 1325, 5573, 1118, 1048, 1264, 1195, 23331, 1006, 4883, 1006, 9967, 2286, 7269, 1511, 16133, 3950, 25919, 1094, 12186, 1009, 5407, 26513, 1054, 25412, 12328, 2196, 24154, 13174, 1026, 6491, 1049, 2311, 1014, 5526, 21279, 1006, 13049, 1118, 3865, 1009, 1094, 6862, 3388, 1118, 13866, 29750, 1005, 1094, 15650, 71, 1009, 7427, 22531, 1054, 1235, 8812, 18, 1973, 1026, 2311, 1014, 5526, 4242, 3082, 14469, 1054, 1094, 6521, 15648, 1114, 9137, 7991, 1010, 1791, 9677, 16133, 3950, 2598, 1195, 3163, 1069, 33, 5445, 9069, 1160, 17161, 1026, 20874, 8385, 13893, 1699, 1006, 4371, 82, 1223, 3529, 9637, 2088, 1187, 1184, 11667, 10378, 90, 4707, 1054, 6823, 1187, 23465, 14, 39, 20704, 13993, 21, 8822, 7000, 7860, 2548, 22869, 17470, 1024, 5747, 21585, 1054, 3149, 1009, 7624, 1511, 1264, 1058, 2064, 7709, 3746, 1032, 1278, 1213, 3867, 6276, 1009, 1224, 5380, 15914, 3921, 2196, 1009, 2303, 1043, 6638, 24120, 1166, 1072, 5995, 8676, 1054, 1868, 5727, 12328, 2196, 16345, 77, 2275, 2200, 8669, 1079, 1048, 1026, 8270, 1516, 5102, 4810, 1005, 2793, 1033, 6630, 3461, 1043, 1224, 16692, 30843, 7699, 1118, 1160, 9135, 1026, 20663, 9344, 1132, 6638, 1049, 12609, 4016, 1079, 3950, 2521, 16949, 1150, 2192, 4927, 7332, 8, 1048, 30843, 1434, 16133, 3950, 1973, 1048, 6029, 5396, 2252, 1124, 6786, 1005, 6786, 1060, 2573, 1049, 31693, 1009, 2303, 1043, 1132, 9069, 2893, 4514, 7082, 1996, 1049, 20663, 2277, 1132, 31189, 16133, 3950, 18315, 17939, 8598, 1009, 1224, 2573, 1054, 4654, 21503, 8495, 1495, 1868, 5727, 12328, 95, 1005, 7981, 1072, 2386, 1009, 2011, 1009, 1224, 5380, 1072, 7658, 1049, 19533, 2999, 2386, 3172, 9208, 1048, 1026, 3867, 6276, 11886, 28620, 1406, 10680, 1132, 9069, 4349, 2560, 5738, 16133, 3950, 19322, 1006, 2573, 1009, 2143, 1935, 5328, 1048, 7600, 1006, 6935, 1068, 8669, 1024, 1048, 1006, 1836, 8072, 1157, 2338, 8210, 22651, 1094, 4272, 1009, 9797, 1098, 1462, 1523, 1896, 1068, 16133, 3950, 1986, 1026, 1063, 2531, 1973, 1048, 1225, 1034, 1048, 1264, 4219, 13408, 11607, 1068, 4384, 1005, 1679, 1734, 1406, 10680, 1132, 6638, 2338, 5995, 1318, 22651, 1094, 4272, 1009, 6250, 1054, 7624, 26570, 1048, 1264, 1160, 8027, 1324, 1124, 1117, 21036, 1206, 9608, 4659, 1054, 4280, 1043, 1224, 16692, 1224, 20711, 1026, 1072, 1343, 1206, 1006, 2531, 1049, 1072, 1343, 1658, 2531, 1009, 16133, 3950, 1973, 1048, 1264, 2661, 1199, 1009, 7692, 27024, 1005, 2468, 1393, 25236, 2129, 5454, 1309, 1048, 1264, 1058, 4312, 13338, 1511, 1058, 29830, 1206, 1058, 16069, 1006, 5593, 1006, 5243, 2094, 1009, 2303, 1043, 1044, 2568, 11477, 1658, 7391, 1009, 16133, 3950, 1058, 1058, 12103, 3615, 1054, 3049, 1009, 3977, 1005, 25919, 9094, 1054, 3261, 1068, 20493, 1235, 6276, 1009, 4984, 4844, 5552, 6095, 7475, 16133, 3950, 2284, 1058, 21773, 1005, 1687, 1973, 1048, 1160, 3855, 1571, 9126, 1132, 11409, 1049, 28775, 15774, 1130, 72, 2850, 16133, 3950, 1973, 1679, 5410, 1060, 11518, 1048, 1235, 3372, 1516, 1044, 3372, 4553, 1511, 1687, 1516, 18817, 1973, 5714, 1434, 2312, 21757, 1094, 7668, 1060, 1848, 5028, 9541, 1054, 6521, 19379, 1079, 3950, 19322, 1224, 5380, 1072, 2738, 1009, 1044, 1901, 6509, 1343, 1068, 3371, 1006, 22729, 1224, 2573, 1114, 1848, 5028, 1430, 1005, 5747, 14816, 1532, 7048, 1406, 1973, 9646, 9862, 1224, 2926, 10712, 1058, 2710, 1586, 3205, 1005, 15914, 3921, 2196, 2364, 15310, 1043, 1094, 18817, 1973, 1679, 5410, 1048, 19244, 1026, 1050, 1648, 4860, 16352, 26548, 1048, 1264, 3135, 5593, 5243, 1112, 1005, 1195, 4417, 15704, 3527, 5593, 25236, 1406, 1973, 9646, 20, 625, 5384, 5192, 1048, 1006, 3808, 7673, 1048, 1857, 6011, 1195, 1837, 2916, 1009, 1791, 4844, 16352, 1973, 1048, 1264, 1516, 1493, 8787, 1005, 1160, 5747, 1264, 13445, 1150, 3133, 3808, 12449, 1009, 3753, 16133, 3950, 1043, 1006, 6446, 1060, 3940, 1072, 8210, 1009, 25412, 9096, 1009, 1044, 14477, 1072, 1901, 7755, 1511, 1264, 1195, 16700, 14641, 1009, 1224, 2573, 13927, 3223, 1140, 1114, 16270, 23, 8111, 1037, 12247, 30755, 4454, 1006, 9421, 18, 1309, 6192, 1005, 12860, 1702, 1004, 4906, 1702, 1050, 1330, 31135, 1213, 7137, 1406, 2311, 1014, 5526, 58, 1730, 6943, 18374, 24275, 1048, 1026, 2017, 10133, 1058, 16069, 1006, 17917, 1044, 24328, 1009, 6862, 1009, 16133, 3950, 1879, 3419, 1049, 2017, 6527, 3335, 5218, 1736, 7377, 1324, 1973, 1054, 1094, 6521, 1048, 16133, 3950, 2521, 1026, 2481, 1068, 3417, 1006, 2573, 1098, 1182, 1041, 8342, 625, 54, 1474, 1118, 2252, 1124, 1935, 74, 2223, 41, 1337, 1072, 16581, 675, 4324, 1973, 7377, 1802, 8, 7281, 1657, 1198, 28017, 1022, 6705, 1005, 3711, 8253, 16755, 1006, 10007, 8, 3133, 6935, 1009, 1142, 2162, 1730, 11312, 1973, 1048, 16133, 3950, 1836, 1054, 1044, 2556, 1045, 1675, 1114, 1641, 1009, 2916, 1009, 3114, 6435, 1646, 2271, 1026, 2738, 1009, 3353, 4964, 1235, 28061, 1132, 8419, 12093, 29669, 1843, 1273, 20450, 1005, 1277, 76, 3465, 1400, 16915, 1406, 1973, 1026, 6680, 1060, 6935, 1009, 1142, 2162, 1730, 1095, 5920, 10162, 1062, 12853, 1658, 6929, 17865, 1124, 9447, 15746, 6238, 1005, 5674, 7332, 1009, 16133, 3950, 6470, 3615, 1044, 12899, 23195, 1054, 5283, 1009, 16842, 4290, 1114, 4132, 1060, 23072, 4964, 1044, 7346, 2488, 1175, 12615, 1264, 1058, 11474, 1079, 1009, 1261, 3330, 13329, 1009, 5494, 23016, 6301, 20583, 1121, 5473, 10645, 9344, 1048, 16133, 3950, 1141, 8217, 1079, 1235, 21455, 1309, 1857, 1058, 3442, 1202, 3615, 1159, 1044, 12899, 1048, 9189, 1393, 12732, 1048, 1836, 2752, 2077, 1069, 1043, 1132, 9789, 11361, 1005, 1132, 3997, 1271, 3680, 24035, 1026, 9470, 31742, 2246, 1264, 1516, 20442, 1406, 1973, 6662, 6138, 18, 1141, 1175, 1056, 76, 16561, 1027, 2855, 7281, 1516, 23903, 1005, 1511, 1299, 1325, 7153, 1094, 3271, 1054, 1044, 4299, 1213, 16019, 24218, 14964, 18, 1096, 1616, 1048, 1299, 2572, 15448, 3129, 1009, 16133, 3950, 1836, 15801, 1006, 10142, 1005, 19855, 5563, 1918, 1054, 1150, 3452, 1206, 1158, 8810, 1406, 1973, 6662, 6138, 18, 1048, 1058, 6681, 6452, 1060, 1090, 3803, 18870, 6236, 16133, 3950, 1175, 7732, 1485, 2682, 1044, 24782, 23903, 1406, 1114, 4123, 1009, 6662, 6138, 1175, 2909, 10053, 1717, 1044, 28994, 2386, 1068, 1058, 15399, 1024, 1463, 5729, 1049, 1531, 4860, 7281, 1516, 2446, 1009, 1086, 1019, 5957, 2196, 1044, 1770, 1348, 23195, 1049, 4299, 1406, 14585, 13683, 30843, 9533, 1026, 20583, 1027, 1009, 11260, 1006, 4936, 1060, 2700, 13893, 1093, 3598, 25198, 3153, 8, 3172, 14585, 1048, 16133, 3950, 18948, 1305, 3189, 1068, 1026, 5019, 1060, 7022, 2855, 7281, 2257, 2653, 3171, 12128, 1053, 9010, 2170, 2247, 3987, 25712, 1264, 1516, 1044, 1187, 21524, 1048, 13240, 2433, 1726, 12100, 1060, 1641, 1068, 8669, 1024, 1406, 1973, 30843, 23049, 625, 51, 14869, 1783, 3586, 10064, 1213, 9937, 1060, 1641, 1068, 1663, 1616, 10602, 15816, 43, 16382, 1026, 4299, 1571, 1299, 3012, 3711, 16711, 12997, 7769, 24895, 14949, 3133, 22415, 1132, 20583, 1121, 3442, 9446, 1006, 3560, 3568, 1009, 16133, 3950, 1159, 1044, 2535, 8787, 1005, 28418, 1453, 2338, 3372, 1049, 16653, 1009, 10378, 18, 1123, 1353, 1396, 1207, 9329, 1870, 9241, 1159, 25195, 1304, 10773, 1304, 1049, 8210, 1009, 3127, 1066, 1909, 1802, 39, 8083, 1009, 1235, 3419, 1068, 1989, 7658, 1195, 3442, 1713, 1118, 1044, 14477, 9553, 1026, 21025, 1009, 2088, 7880, 1009, 8861, 1069, 4860, 7281, 2793, 1184, 13338, 1043, 1026, 1557, 1406, 1973, 6662, 6138, 20, 625, 3885, 11830, 20338, 1069, 1511, 20975, 1094, 8262, 1322, 9282, 3885, 1323, 30061, 3048, 1044, 2574, 10078, 1385, 1836, 8857, 20, 14949, 12292, 1079, 3950, 1160, 1516, 28962, 1009, 26833, 1160, 1493, 3630, 1187, 1734, 11988, 4532, 4570, 1357, 5405, 24488, 1009, 3175, 2052, 2971, 24, 1049, 7321, 1045, 1675, 4043, 10781, 11988, 1160, 11863, 2791, 150, 18048, 1592, 1846, 1048, 1224, 4137, 1195, 18818, 1140, 1463, 20072, 1009, 3546, 1114, 5261, 11999, 8000, 12327, 1599, 10255, 1134, 4396, 1870, 16681, 2864, 1973, 1048, 15817, 3046, 2290, 16133, 3950, 1114, 4671, 14514, 28240, 1005, 28240, 1049, 2556, 1045, 2855, 7281, 1516, 3181, 1599, 1680, 22102, 1406, 1973, 18159, 2048, 2338, 4753, 1341, 2745, 16133, 3950, 5554, 1589, 13513, 1072, 9361, 1009, 21913, 1049, 1123, 2890, 2561, 73, 1054, 3349, 1213, 2556, 3947, 10680, 18159, 2048, 1005, 1734, 1113, 625, 54, 1219, 1024, 1048, 1264, 3012, 1261, 2281, 1657, 2350, 5584, 1728, 132, 1094, 28899, 10811, 1973, 18159, 2048, 20, 625, 54, 1085, 3165, 1261, 2281, 3230, 5790, 1048, 1848, 1213, 7154, 37, 7281, 3012, 1261, 28897, 1009, 4361, 1054, 4361, 17154, 1077, 1054, 3230, 5981, 1160, 1381, 5239, 2855, 6497, 1081, 19143, 7597, 24706, 1094, 3897, 1060, 9573, 8107, 1973, 1233, 25275, 1048, 2539, 2250, 1996, 1049, 30616, 2037, 16133, 3950, 1058, 9853, 5493, 1005, 1044, 5399, 1054, 1044, 1080, 1105, 15276, 1054, 1142, 2162, 1730, 11312, 13930, 1068, 20062, 1031, 1787, 1235, 16431, 3172, 2276, 8691, 1132, 5513, 31331, 1544, 4016, 1079, 3950, 1973, 1006, 7597, 3448, 1048, 2284, 1795, 1069, 1235, 16173, 1005, 1048, 26624, 1048, 1124, 1783, 12201, 1261, 1094, 2596, 4445, 1009, 11410, 18725, 6485, 8754, 6009, 1094, 1008, 1690, 1814, 1005, 1150, 19870, 1157, 1043, 1044, 11957, 1069, 1406, 1687, 14585, 4860, 51, 1328, 11719, 9564, 1005, 15793, 32, 1538, 2959, 1325, 3711, 10977, 37, 13, 1406, 4967, 1117, 7597, 79, 2652, 625, 7281, 13145, 1094, 7182, 1005, 1657, 18001, 1006, 8669, 1024, 2912, 5384, 1323, 15519, 1493, 30284, 8342, 14949, 1110, 61, 20315, 1313, 1056, 1054, 1142, 2162, 1730, 1095, 5920, 1142, 1377, 1084, 1067, 7194, 11794, 5146, 5121, 26484, 18880, 30050, 4510, 1434, 1128, 8655, 16759, 22101, 1018, 1005, 3720, 1208, 24465, 20065, 1054, 7000, 23663, 1068, 1668, 6840, 10774, 1026, 30616, 1047, 22793, 1054, 1142, 2162, 1730, 1095, 5920, 9573, 8107, 9096, 1048, 1026, 17154, 16608, 3753, 25412, 1207, 9329, 1870, 2257, 1094, 2042, 1009, 5946, 10712, 1005, 1094, 1210, 2602, 1149, 1009, 4680, 3164, 1054, 2869, 1726, 13591, 28669, 1005, 1946, 4838, 4964, 7624, 16133, 3950, 1195, 12700, 1009, 29735, 1224, 5380, 2170, 2271, 6021, 1264, 2257, 1044, 6083, 1009, 8568, 1009, 5762, 10180, 11282, 10931, 1224, 2531, 1005, 1847, 6774, 1140, 1009, 1224, 5380, 7366, 11810, 1318, 18271, 1048, 16133, 3950, 1298, 1261, 2281, 1068, 1044, 3439, 1184, 14008, 1348, 1005, 3909, 10908, 33, 45, 24832, 12128, 11105, 1114, 23072, 4905, 1046, 16133, 3950, 1009, 1058, 13699, 1068, 6098 ]

[ 24234, 1124, 2266, 17625, 1918, 1187, 2625, 1172, 1258, 23453, 2934, 1074, 1005, 1187, 1028, 2507, 2640, 89, 30080, 6436, 19848, 18906, 19331, 1789, 1341, 4765, 60, 1259, 77, 1434, 17466, 29, 1086, 1118, 15198, 15, 11967, 1045, 1313, 7971, 1364, 20914, 30, 1086, 1118, 15198, 15, 11839, 12443, 28986, 8387, 1839, 1086, 1118, 15198, 15, 9550, 9228, 12443, 28986, 1144, 2507, 2640, 89, 12443, 1095, 1024, 6436, 15883, 1086, 1118, 15198, 11781, 1029, 4838, 7631, 26, 5251, 27, 1487, 7560, 3886, 26, 5884, 3996, 1038, 9962, 1009, 1868, 6376, 85, 11275, 15, 11528, 1487, 2081, 26, 1487, 2084, 23, 12085, 5843, 30, 25238, 42, 1010, 2688, 9028, 175, 1609, 1074, 11275, 15, 1479, 12505, 30, 9160, 23, 2475, 4662, 30, 5168, 1133, 9452, 11275, 15, 2224, 21140, 31, 15340, 31, 2971, 26261, 3564, 1517, 3716, 11275, 15, 3404, 31478, 31, 1307, 2394, 25, 3727, 8856, 30, 25238, 42, 1016, 2688, 31247, 2905, 11275, 15, 1479, 10459, 23, 1307, 1307, 3646, 23, 1759, 1029, 11275, 15, 4662, 25, 4662, 5205, 4662, 29, 1307, 1422, 2555, 1819, 1054, 2612, 1048, 1132, 1144, 2507, 2640, 89, 12443, 1095, 1024, 6436, 1327, 2492, 1402, 1054, 12932, 1009, 4234, 1006, 7828, 1821, 5129, 1026, 2285, 1009, 23921, 4629, 1365, 1422, 3663, 1006, 1779, 16988, 1118, 20496, 3590, 1780, 5521, 19196, 10541, 1048, 1006, 9438, 1049, 4765, 26590, 22026, 1096, 1006, 1048, 1225, 1026, 4863, 2161, 3197, 1575, 3617, 1776, 2268, 1318, 1096, 4230, 1261, 1054, 2612, 1006, 1187, 1416, 1049, 1742, 3022, 1847, 1026, 4765, 60, 1259, 77, 1434, 1026, 1184, 4674, 1009, 1664, 1132, 1172, 1258, 23453, 2934, 1074, 25660, 1159, 1225, 1026, 4863, 2285, 1009, 7074, 4065, 1318, 5934, 1043, 1124, 2913, 30697, 3027, 1657, 2224, 1086, 20, 1138, 1172, 1258, 23453, 22647, 3991, 19929, 3057, 15365, 3017, 1096, 1026, 11967, 1045, 1313, 7971, 27527, 1049, 23927, 1014, 1344, 4566, 1043, 21140, 31, 1086, 15220, 5020, 8496, 75, 1006, 1184, 1009, 6746, 1060, 15198, 1009, 5231, 1009, 2913, 30795, 1847, 9417, 1086, 2129, 5454, 1068, 1124, 3680, 8581, 1273, 1005, 14877, 1086, 18, 1068, 1132, 4031, 12001, 4908, 1048, 1919, 5085, 1679, 13695, 15365, 4837, 14775, 1132, 5527, 9962, 1009, 15287, 1005, 1124, 13665, 1678, 1668, 1172, 1258, 23453, 22647, 1096, 1026, 1048, 1225, 1712, 3627, 2485, 5700, 5193, 3552, 4081, 2574, 11524, 11816, 1294, 6299, 1009, 1015, 1672, 1132, 1144, 2507, 2640, 89, 12443, 1095, 1024, 17881, 4850, 1009, 1050, 7142, 1054, 4863, 3697, 23148, 1327, 1026, 17955, 1043, 4029, 15935, 3019, 10595, 17952, 3027, 1422, 1086, 1118, 1821, 2485, 1026, 1048, 8496, 75, 1365, 2978, 1086, 1006, 8060, 1086, 1118, 20496, 3590, 1780, 5521, 1005, 1043, 2068, 1054, 1664, 1132, 20387, 6344, 2585, 1006, 4169, 30080, 2860, 1049, 4765, 26590, 11348, 1678, 4765, 60, 1259, 77, 7699, 1096, 1006, 1184, 30636, 1043, 1044, 4863, 2161, 3197, 5361, 1005, 1043, 15291, 15935, 1009, 5527, 9962, 1009, 15287, 1005, 9477, 3716, 3590, 1177, 20356, 1026, 4765, 26590, 11348, 89, 6698, 1006, 2750, 1484, 1694, 25073, 3156, 1046, 1124, 3918, 30080, 10581, 9878, 4410, 1096, 2637, 3550, 2389, 1114, 5342, 1049, 10776, 1005, 1124, 3918, 30080, 10581, 3048, 1927, 1327, 1054, 23819, 1049, 1819, 18, 2739, 6236, 1006, 15224, 1049, 4174, 7329, 11783, 1351, 1893, 1054, 3195, 1009, 4599, 23891, 11816, 24648, 1428, 1026, 1172, 1258, 23453, 22647, 1184, 30636, 1309, 2177, 1026, 1592, 1026, 1184, 18819, 37, 1063, 3484, 1096, 1841, 1704, 4765, 60, 1259, 77, 7699, 1060, 4765, 26590, 22026, 1225, 1044, 6072, 1009, 7583, 2704, 641, 18, 3027, 1026, 1592, 4410, 1048, 1132, 1172, 1258, 23453, 2934, 1074, 1009, 4599, 8574, 9839, 28929, 1132, 2688, 1026, 4765, 56, 14018, 1029, 5196, 3409, 75, 3377, 25338, 1124, 12940, 1049, 23927, 1014, 9228, 1327, 20751, 1184, 2519, 1916, 1138, 10430, 1184, 18819, 1096, 1026, 1187, 1144, 2507, 2640, 89, 12443, 1095, 1024, 17881, 1043, 1044, 6072, 1009, 4662, 4705, 641, 18, 1118, 4234, 1821, 5129, 1005, 5843, 4705, 641, 18, 1118, 7828, 4908, 1048, 1058, 4768, 1679, 1172, 1258, 23453, 2934, 2106, 1026, 9550, 9228, 12443, 28986, 1096, 1026, 1184, 1054, 23819, 3156, 1157, 8856, 4332, 641, 18, 1026, 1592, 4410, 1048, 1006, 3069, 1009, 4599, 8574, 1059, 4439, 16823, 1026, 11839, 12443, 28986, 1005, 1026, 11967, 1045, 1313, 7971, 27527, 1043, 1044, 4410, 1009, 9160, 4332, 641, 20, 1482, 22198, 1213, 1172, 1258, 23453, 22647, 11535, 5680, 1742, 1093, 2643, 1026, 1592, 6072, 1048, 1132, 1009, 4599, 8574, 3590, 1780, 5521, 1096, 17231, 1048, 1026, 4765, 26590, 11348, 89, 6698, 1114, 4095, 1009, 1244, 13323, 1776, 2268, 1124, 7707, 30080, 10581, 1049, 23927, 1014, 9228, 1160, 1755, 83, 1493, 1271, 1009, 4599, 8574, 5721, 72, 1660, 11901, 1599, 1006, 4744, 6856, 1068, 1006, 11228, 4765, 26590, 11348, 1678, 1356, 3319, 1009, 29233, 1049, 1235, 1172, 1258, 23453, 22647, 1005, 1357, 2869, 3450, 27111, 1370, 4908, 2268, 1511, 1058, 5632, 1049, 2285, 1009, 3918, 30080, 28045, 1026, 23927, 1014, 9228, 1096, 1006, 1853, 2096, 4385, 2535, 20429, 13718, 1124, 17109, 3812, 20071, 10598, 1080, 2984, 1014, 15909, 30417, 1143, 1085, 1025, 73, 17063, 5004, 89, 2926, 6457, 20897, 30080, 16161, 19287, 7831, 5412, 1605, 12800, 5025, 1048, 2155, 11146, 5470, 5, 92, 12009, 1797, 1120, 1017, 4243, 11123, 4862, 1127, 1168, 1623, 1233, 3629, 1233, 5744, 1683, 3223, 6600, 1187, 5290, 72, 9363, 1009, 3032, 1467, 72, 1943, 20946, 6391, 1759, 24973, 11731, 7954, 1848, 1006, 1044, 6273, 9465, 8057, 72, 1943, 20946, 6391, 3576, 1034, 9953, 1797, 1237, 92, 3298, 1876, 32, 1006, 9319, 1009, 14308, 9272, 6966, 1377, 2605, 10659, 1680, 1233, 2926, 8057, 72, 1943, 20946, 6391, 3008, 7690, 1167, 1006, 1587, 19632, 31758, 15159, 95, 1605, 1235, 7137, 1009, 7793, 1160, 2177, 2218, 2270, 10348, 3750, 11993, 18910, 1043, 3125, 18762, 1528, 1024, 1026, 2092, 10840, 7793, 1005, 2788, 3057, 9740, 1068, 1006, 4958, 1472, 1048, 1503, 11971, 1059, 295, 1759, 2327, 8396, 29298, 6936, 4943, 29, 44, 3297, 7133, 1042, 8041, 2595, 24, 44, 1078, 3824, 30293, 17198, 19061, 5495, 4418, 1612, 1014, 20624, 1452, 1576, 1568, 1637, 8682, 5, 92, 12009, 1797, 1120, 1017, 4243, 11123, 4862, 1127, 1168, 1623, 1233, 3629, 1233, 5744, 1683, 3223, 6600, 1187, 5290, 72, 9363, 1009, 3032, 1467, 72, 1943, 20946, 6391, 11958, 1691, 10926, 2509, 1307, 11731, 7954, 1848, 1006, 1044, 6273, 9465, 8057, 72, 1943, 20946, 6391, 14917, 1691, 10926, 2509, 1101, 1797, 1237, 92, 3298, 1876, 32, 1006, 9319, 1009, 14308, 9272, 6966, 1377, 2605, 10659, 1680, 1233, 2926, 8057, 72, 1943, 20946, 6391, 17672, 1691, 10926, 2509, 1083, 3996, 28569, 12572, 12920, 1006, 4751, 1048, 3629, 1006, 9149, 1005, 1006, 17544, 2754, 7692, 982, 1467, 72, 1943, 20946, 6391, 8682, 5, 92, 12009, 1797, 1120, 1017, 4243, 11123, 4862, 1127, 1168, 1623, 1233, 3629, 1233, 5744, 1683, 3223, 6600, 1187, 5290, 72, 9363, 1009, 3032, 1467, 72, 1943, 20946, 6391, 11958, 1691, 10926, 2509, 1307, 11731, 7954, 1848, 1006, 1044, 6273, 9465, 8057, 72, 1943, 20946, 6391, 14917, 1691, 10926, 2509, 1101, 1797, 1237, 92, 3298, 1876, 32, 1006, 9319, 1009, 14308, 9272, 6966, 1377, 2605, 10659, 1680, 1233, 2926, 8057, 72, 1943, 20946, 6391, 17672, 1691, 10926, 2509, 1083, 3996, 28569, 12572, 12920, 1006, 4751, 1048, 3629, 1006, 9149, 1005, 1006, 17544, 2754, 7692, 982, 1467, 72, 1943, 20946, 6391, 8682, 1759, 18053, 2159, 2186, 8495, 1759, 29818, 2053, 31544, 1128, 18517, 1062, 4503, 63, 1479, 1307, 1605, 1088, 2906, 8856, 4579, 11958, 8539, 1421, 1874, 20262, 17512, 2364, 37, 1205, 3893, 7032, 1009, 20573, 7, 2656, 3135, 1009, 10359, 1759, 1095, 1545, 15876, 4579, 14917, 6593, 17151, 1605, 1953, 14498, 1130, 2467, 3205, 3708, 1005, 6368, 20, 1138, 1048, 1225, 1009, 27168, 1221, 2237, 2373, 8185, 23236, 1009, 15526, 1103, 27390, 626, 9878, 1088, 2906, 5843, 4579, 17672, 1605, 13929, 1009, 1094, 4472, 1193, 2029, 1605, 14610, 19088, 2818, 22523, 11884, 9706, 40, 29916, 1479, 1101, 1759, 1095, 1545, 21140, 4579, 28165, 1668, 3428, 12446, 1058, 1234, 6819, 32, 17698, 1026, 8658, 14892, 14878, 1399, 2048, 60, 2148, 9981, 1043, 1668, 13431, 10622, 1048, 22223, 6511, 1407, 1239, 1225, 25846, 1069, 1072, 9891, 1026, 1712, 8967, 1060, 1224, 1834, 32, 6388, 5862, 1005, 5587, 16733, 1063, 1224, 3722, 1009, 6411, 1005, 4832, 7165, 2643, 2281, 1094, 2512, 7342, 1068, 2653, 20, 11771, 1271, 2880, 1005, 3467, 1009, 10135, 2094, 22223, 6511, 1407, 1239, 6303, 2837, 1006, 5732, 3093, 14878, 1399, 2048, 60, 1070, 1870, 1044, 3311, 1009, 5317, 1009, 1664, 18508, 16532, 6313, 1853, 1005, 1009, 1871, 1184, 5472, 8342, 3204, 2788, 1160, 9606, 1178, 22707, 1343, 3048, 5210, 3617, 14336, 2862, 16608, 13469, 12368, 1005, 2711, 9086, 1043, 12439, 1322, 14193, 1387, 17151, 1005, 25740, 1874, 28851, 3617, 6803, 18, 3456, 1273, 5025, 1009, 5297, 6417, 13479, 1005, 3629, 1009, 2653, 13161, 1048, 11825, 1048, 3192, 1058, 1381, 10911, 20, 1, 4116, 2729, 1060, 1224, 1834, 1026, 14921, 3135, 6622, 1094, 19960, 1049, 1235, 10511, 15322, 1068, 1006, 17932, 5170, 20, 5841, 1096, 1094, 1871, 1009, 3871, 1048, 1511, 8236, 1006, 5994, 5293, 1026, 14921, 4597, 1094, 7562, 2464, 1356, 2444, 1114, 13058, 1411, 2177, 5434, 1068, 1111, 29130, 1569, 6106, 2097, 3271, 9343, 71, 5613, 1783, 9343, 1016, 6515, 2539, 8113, 2129, 17334, 1424, 1224, 30103, 1411, 4088, 6510, 6622, 31018, 28740, 1411, 3894, 30301, 3111, 3359, 5336, 10880, 1005, 10330, 2169, 5345, 1505, 2612, 5816, 1096, 1048, 1124, 1783, 12793, 1118, 2653, 1646, 1068, 1048, 1072, 1852, 1009, 1224, 1834, 1009, 2011, 1026, 22420, 2374, 26678, 3915, 2143, 2790, 4319, 1124, 1783, 1043, 10673, 20, 13295, 8545, 1160, 6515, 4008, 1068, 6537, 3638, 1048, 1050, 5254, 1006, 1109, 1446, 1026, 3266, 4873, 1147, 20, 4378, 6758, 1096, 16902, 1357, 3486, 10673, 1048, 4616, 1803, 1566, 1048, 2739, 1783, 1160, 13589, 4855, 3638, 12533, 10581, 1048, 1327, 14123, 25100, 6033, 6704, 1124, 1783, 9343, 1016, 1005, 1124, 1783, 1043, 10673, 1998, 7937, 1261, 1094, 7562, 1058, 3573, 6039, 1040, 2931, 1532, 1068, 1006, 17932, 5170, 20, 29509, 2739, 1783, 9343, 1016, 1160, 11863, 18, 1213, 2729, 1060, 1224, 5297, 11860, 1068, 3871, 1094, 16167, 7519, 8772, 20, 6883, 11346, 1006, 2323, 1060, 3811, 25811, 7537, 1060, 16646, 5170, 4509, 53, 2545, 15, 1195, 5447, 1026, 1106, 17478, 1874, 1009, 23873, 1112, 12304, 1140, 4045, 15240, 16075, 1106, 15240, 1096, 13721, 1068, 1783, 9343, 1016, 1005, 1783, 1043, 10673, 20, 11595, 1783, 13326, 2931, 1532, 2916, 1009, 1044, 10511, 8407, 1068, 10760, 1072, 6003, 4873, 1147, 1005, 1072, 4873, 1147, 1060, 15899, 22191, 1068, 1261, 3282, 1096, 3654, 1058, 13834, 1024, 1463, 6264, 15839, 1049, 2868, 1059, 8197, 1327, 4088, 37, 6174, 6264, 1068, 14608, 1049, 10472, 1327, 3822, 21082, 1063, 1944, 8545, 1096, 1054, 2869, 1233, 17516, 19814, 1043, 10673, 1160, 6510, 18398, 3386, 5293, 5195, 5216, 4666, 13745, 3283, 5924, 1044, 4062, 1769, 6023, 1173, 1780, 1077, 1224, 6758, 20, 5011, 1124, 1783, 9343, 1016, 10488, 1261, 1184, 1009, 13065, 1646, 8333, 1096, 3654, 1261, 3573, 2876, 1068, 1006, 17932, 5170, 20, 30605, 6062, 1096, 1026, 3311, 1048, 1755, 1026, 1106, 15240, 1060, 30103, 2275, 13187, 5267, 1325, 1114, 8315, 3003, 1009, 4305, 2523, 0, 10511, 1206, 1006, 27127, 1118, 3248, 1533, 8263, 1048, 15283, 1058, 1026, 10719, 15945, 1225, 1206, 1160, 3282, 1009, 4305, 1026, 10472, 1096, 1054, 2869, 1006, 7562, 7479, 20, 1972, 1261, 3177, 1213, 10472, 18, 1026, 10719, 15945, 3135, 18398, 3386, 1048, 1006, 7562, 7479, 1096, 1009, 1044, 5512, 1049, 10511, 8407, 1118, 3271, 27281, 3046, 1195, 29095, 1094, 6758, 1009, 14608, 1049, 10472, 20, 1138, 10719, 15945, 1976, 2593, 11782, 1981, 1072, 25421, 5982, 26114, 1187, 25971, 1049, 5731, 3517, 2663, 1019, 145, 84, 1221, 1565, 1972, 4855, 1989, 16215, 3283, 1058, 15091, 1213, 10004, 19795, 6338, 1009, 16646, 5170, 1206, 1062, 3776, 2545, 1060, 1224, 1641, 7550, 13354, 1026, 1106, 15240, 27990, 13354, 1026, 10472, 3283, 1026, 10719, 15945, 1206, 1026, 1235, 21491, 7492, 1058, 15091, 1213, 9361, 1049, 24131, 1184, 3867, 16446, 1188, 1187, 6638, 15333, 10151, 1526, 1009, 29295, 1043, 10151, 1526, 9421, 18, 4062, 1769, 6023, 1005, 6638, 1187, 10624, 1048, 3073, 1202, 1114, 2921, 2573, 4355, 3457, 16066, 7, 13189, 1235, 6455, 1005, 29047, 1184, 2266, 2324, 2576, 7012, 1383, 4066, 4093, 26331, 1940, 24575, 28088, 9637, 1318, 30087, 10199, 1184, 1322, 1026, 1106, 15240, 1005, 1569, 4034, 1467, 16167, 1298, 1178, 11148, 1159, 1094, 23338, 1009, 25608, 1049, 6730, 1068, 3371, 1783, 0, 1797, 19008, 1177, 1068, 1915, 1974, 11922, 15611, 24616, 2750, 7788, 20, 9520, 1159 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24234, 1124, 2266, 17625, 1918, 1187, 2625, 1172, 1258, 23453, 2934, 1074, 1005, 1187, 1028, 2507, 2640, 89, 30080, 6436, 19848, 18906, 19331, 1789, 1341, 4765, 60, 1259, 77, 1434, 17466, 29, 1086, 1118, 15198, 15, 11967, 1045, 1313, 7971, 1364, 20914, 30, 1086, 1118, 15198, 15, 11839, 12443, 28986, 8387, 1839, 1086, 1118, 15198, 15, 9550, 9228, 12443, 28986, 1144, 2507, 2640, 89, 12443, 1095, 1024, 6436, 15883, 1086, 1118, 15198, 11781, 1029, 4838, 7631, 26, 5251, 27, 1487, 7560, 3886, 26, 5884, 3996, 1038, 9962, 1009, 1868, 6376, 85, 11275, 15, 11528, 1487, 2081, 26, 1487, 2084, 23, 12085, 5843, 30, 25238, 42, 1010, 2688, 9028, 175, 1609, 1074, 11275, 15, 1479, 12505, 30, 9160, 23, 2475, 4662, 30, 5168, 1133, 9452, 11275, 15, 2224, 21140, 31, 15340, 31, 2971, 26261, 3564, 1517, 3716, 11275, 15, 3404, 31478, 31, 1307, 2394, 25, 3727, 8856, 30, 25238, 42, 1016, 2688, 31247, 2905, 11275, 15, 1479, 10459, 23, 1307, 1307, 3646, 23, 1759, 1029, 11275, 15, 4662, 25, 4662, 5205, 4662, 29, 1307, 1422, 2555, 1819, 1054, 2612, 1048, 1132, 1144, 2507, 2640, 89, 12443, 1095, 1024, 6436, 1327, 2492, 1402, 1054, 12932, 1009, 4234, 1006, 7828, 1821, 5129, 1026, 2285, 1009, 23921, 4629, 1365, 1422, 3663, 1006, 1779, 16988, 1118, 20496, 3590, 1780, 5521, 19196, 10541, 1048, 1006, 9438, 1049, 4765, 26590, 22026, 1096, 1006, 1048, 1225, 1026, 4863, 2161, 3197, 1575, 3617, 1776, 2268, 1318, 1096, 4230, 1261, 1054, 2612, 1006, 1187, 1416, 1049, 1742, 3022, 1847, 1026, 4765, 60, 1259, 77, 1434, 1026, 1184, 4674, 1009, 1664, 1132, 1172, 1258, 23453, 2934, 1074, 25660, 1159, 1225, 1026, 4863, 2285, 1009, 7074, 4065, 1318, 5934, 1043, 1124, 2913, 30697, 3027, 1657, 2224, 1086, 20, 1138, 1172, 1258, 23453, 22647, 3991, 19929, 3057, 15365, 3017, 1096, 1026, 11967, 1045, 1313, 7971, 27527, 1049, 23927, 1014, 1344, 4566, 1043, 21140, 31, 1086, 15220, 5020, 8496, 75, 1006, 1184, 1009, 6746, 1060, 15198, 1009, 5231, 1009, 2913, 30795, 1847, 9417, 1086, 2129, 5454, 1068, 1124, 3680, 8581, 1273, 1005, 14877, 1086, 18, 1068, 1132, 4031, 12001, 4908, 1048, 1919, 5085, 1679, 13695, 15365, 4837, 14775, 1132, 5527, 9962, 1009, 15287, 1005, 1124, 13665, 1678, 1668, 1172, 1258, 23453, 22647, 1096, 1026, 1048, 1225, 1712, 3627, 2485, 5700, 5193, 3552, 4081, 2574, 11524, 11816, 1294, 6299, 1009, 1015, 1672, 1132, 1144, 2507, 2640, 89, 12443, 1095, 1024, 17881, 4850, 1009, 1050, 7142, 1054, 4863, 3697, 23148, 1327, 1026, 17955, 1043, 4029, 15935, 3019, 10595, 17952, 3027, 1422, 1086, 1118, 1821, 2485, 1026, 1048, 8496, 75, 1365, 2978, 1086, 1006, 8060, 1086, 1118, 20496, 3590, 1780, 5521, 1005, 1043, 2068, 1054, 1664, 1132, 20387, 6344, 2585, 1006, 4169, 30080, 2860, 1049, 4765, 26590, 11348, 1678, 4765, 60, 1259, 77, 7699, 1096, 1006, 1184, 30636, 1043, 1044, 4863, 2161, 3197, 5361, 1005, 1043, 15291, 15935, 1009, 5527, 9962, 1009, 15287, 1005, 9477, 3716, 3590, 1177, 20356, 1026, 4765, 26590, 11348, 89, 6698, 1006, 2750, 1484, 1694, 25073, 3156, 1046, 1124, 3918, 30080, 10581, 9878, 4410, 1096, 2637, 3550, 2389, 1114, 5342, 1049, 10776, 1005, 1124, 3918, 30080, 10581, 3048, 1927, 1327, 1054, 23819, 1049, 1819, 18, 2739, 6236, 1006, 15224, 1049, 4174, 7329, 11783, 1351, 1893, 1054, 3195, 1009, 4599, 23891, 11816, 24648, 1428, 1026, 1172, 1258, 23453, 22647, 1184, 30636, 1309, 2177, 1026, 1592, 1026, 1184, 18819, 37, 1063, 3484, 1096, 1841, 1704, 4765, 60, 1259, 77, 7699, 1060, 4765, 26590, 22026, 1225, 1044, 6072, 1009, 7583, 2704, 641, 18, 3027, 1026, 1592, 4410, 1048, 1132, 1172, 1258, 23453, 2934, 1074, 1009, 4599, 8574, 9839, 28929, 1132, 2688, 1026, 4765, 56, 14018, 1029, 5196, 3409, 75, 3377, 25338, 1124, 12940, 1049, 23927, 1014, 9228, 1327, 20751, 1184, 2519, 1916, 1138, 10430, 1184, 18819, 1096, 1026, 1187, 1144, 2507, 2640, 89, 12443, 1095, 1024, 17881, 1043, 1044, 6072, 1009, 4662, 4705, 641, 18, 1118, 4234, 1821, 5129, 1005, 5843, 4705, 641, 18, 1118, 7828, 4908, 1048, 1058, 4768, 1679, 1172, 1258, 23453, 2934, 2106, 1026, 9550, 9228, 12443, 28986, 1096, 1026, 1184, 1054, 23819, 3156, 1157, 8856, 4332, 641, 18, 1026, 1592, 4410, 1048, 1006, 3069, 1009, 4599, 8574, 1059, 4439, 16823, 1026, 11839, 12443, 28986, 1005, 1026, 11967, 1045, 1313, 7971, 27527, 1043, 1044, 4410, 1009, 9160, 4332, 641, 20, 1482, 22198, 1213, 1172, 1258, 23453, 22647, 11535, 5680, 1742, 1093, 2643, 1026, 1592, 6072, 1048, 1132, 1009, 4599, 8574, 3590, 1780, 5521, 1096, 17231, 1048, 1026, 4765, 26590, 11348, 89, 6698, 1114, 4095, 1009, 1244, 13323, 1776, 2268, 1124, 7707, 30080, 10581, 1049, 23927, 1014, 9228, 1160, 1755, 83, 1493, 1271, 1009, 4599, 8574, 5721, 72, 1660, 11901, 1599, 1006, 4744, 6856, 1068, 1006, 11228, 4765, 26590, 11348, 1678, 1356, 3319, 1009, 29233, 1049, 1235, 1172, 1258, 23453, 22647, 1005, 1357, 2869, 3450, 27111, 1370, 4908, 2268, 1511, 1058, 5632, 1049, 2285, 1009, 3918, 30080, 28045, 1026, 23927, 1014, 9228, 1096, 1006, 1853, 2096, 4385, 2535, 20429, 13718, 1124, 17109, 3812, 20071, 10598, 1080, 2984, 1014, 15909, 30417, 1143, 1085, 1025, 73, 17063, 5004, 89, 2926, 6457, 20897, 30080, 16161, 19287, 7831, 5412, 1605, 12800, 5025, 1048, 2155, 11146, 5470, 5, 92, 12009, 1797, 1120, 1017, 4243, 11123, 4862, 1127, 1168, 1623, 1233, 3629, 1233, 5744, 1683, 3223, 6600, 1187, 5290, 72, 9363, 1009, 3032, 1467, 72, 1943, 20946, 6391, 1759, 24973, 11731, 7954, 1848, 1006, 1044, 6273, 9465, 8057, 72, 1943, 20946, 6391, 3576, 1034, 9953, 1797, 1237, 92, 3298, 1876, 32, 1006, 9319, 1009, 14308, 9272, 6966, 1377, 2605, 10659, 1680, 1233, 2926, 8057, 72, 1943, 20946, 6391, 3008, 7690, 1167, 1006, 1587, 19632, 31758, 15159, 95, 1605, 1235, 7137, 1009, 7793, 1160, 2177, 2218, 2270, 10348, 3750, 11993, 18910, 1043, 3125, 18762, 1528, 1024, 1026, 2092, 10840, 7793, 1005, 2788, 3057, 9740, 1068, 1006, 4958, 1472, 1048, 1503, 11971, 1059, 295, 1759, 2327, 8396, 29298, 6936, 4943, 29, 44, 3297, 7133, 1042, 8041, 2595, 24, 44, 1078, 3824, 30293, 17198, 19061, 5495, 4418, 1612, 1014, 20624, 1452, 1576, 1568, 1637, 8682, 5, 92, 12009, 1797, 1120, 1017, 4243, 11123, 4862, 1127, 1168, 1623, 1233, 3629, 1233, 5744, 1683, 3223, 6600, 1187, 5290, 72, 9363, 1009, 3032, 1467, 72, 1943, 20946, 6391, 11958, 1691, 10926, 2509, 1307, 11731, 7954, 1848, 1006, 1044, 6273, 9465, 8057, 72, 1943, 20946, 6391, 14917, 1691, 10926, 2509, 1101, 1797, 1237, 92, 3298, 1876, 32, 1006, 9319, 1009, 14308, 9272, 6966, 1377, 2605, 10659, 1680, 1233, 2926, 8057, 72, 1943, 20946, 6391, 17672, 1691, 10926, 2509, 1083, 3996, 28569, 12572, 12920, 1006, 4751, 1048, 3629, 1006, 9149, 1005, 1006, 17544, 2754, 7692, 982, 1467, 72, 1943, 20946, 6391, 8682, 5, 92, 12009, 1797, 1120, 1017, 4243, 11123, 4862, 1127, 1168, 1623, 1233, 3629, 1233, 5744, 1683, 3223, 6600, 1187, 5290, 72, 9363, 1009, 3032, 1467, 72, 1943, 20946, 6391, 11958, 1691, 10926, 2509, 1307, 11731, 7954, 1848, 1006, 1044, 6273, 9465, 8057, 72, 1943, 20946, 6391, 14917, 1691, 10926, 2509, 1101, 1797, 1237, 92, 3298, 1876, 32, 1006, 9319, 1009, 14308, 9272, 6966, 1377, 2605, 10659, 1680, 1233, 2926, 8057, 72, 1943, 20946, 6391, 17672, 1691, 10926, 2509, 1083, 3996, 28569, 12572, 12920, 1006, 4751, 1048, 3629, 1006, 9149, 1005, 1006, 17544, 2754, 7692, 982, 1467, 72, 1943, 20946, 6391, 8682, 1759, 18053, 2159, 2186, 8495, 1759, 29818, 2053, 31544, 1128, 18517, 1062, 4503, 63, 1479, 1307, 1605, 1088, 2906, 8856, 4579, 11958, 8539, 1421, 1874, 20262, 17512, 2364, 37, 1205, 3893, 7032, 1009, 20573, 7, 2656, 3135, 1009, 10359, 1759, 1095, 1545, 15876, 4579, 14917, 6593, 17151, 1605, 1953, 14498, 1130, 2467, 3205, 3708, 1005, 6368, 20, 1138, 1048, 1225, 1009, 27168, 1221, 2237, 2373, 8185, 23236, 1009, 15526, 1103, 27390, 626, 9878, 1088, 2906, 5843, 4579, 17672, 1605, 13929, 1009, 1094, 4472, 1193, 2029, 1605, 14610, 19088, 2818, 22523, 11884, 9706, 40, 29916, 1479, 1101, 1759, 1095, 1545, 21140, 4579, 28165, 1668, 3428, 12446, 1058, 1234, 6819, 32, 17698, 1026, 8658, 14892, 14878, 1399, 2048, 60, 2148, 9981, 1043, 1668, 13431, 10622, 1048, 22223, 6511, 1407, 1239, 1225, 25846, 1069, 1072, 9891, 1026, 1712, 8967, 1060, 1224, 1834, 32, 6388, 5862, 1005, 5587, 16733, 1063, 1224, 3722, 1009, 6411, 1005, 4832, 7165, 2643, 2281, 1094, 2512, 7342, 1068, 2653, 20, 11771, 1271, 2880, 1005, 3467, 1009, 10135, 2094, 22223, 6511, 1407, 1239, 6303, 2837, 1006, 5732, 3093, 14878, 1399, 2048, 60, 1070, 1870, 1044, 3311, 1009, 5317, 1009, 1664, 18508, 16532, 6313, 1853, 1005, 1009, 1871, 1184, 5472, 8342, 3204, 2788, 1160, 9606, 1178, 22707, 1343, 3048, 5210, 3617, 14336, 2862, 16608, 13469, 12368, 1005, 2711, 9086, 1043, 12439, 1322, 14193, 1387, 17151, 1005, 25740, 1874, 28851, 3617, 6803, 18, 3456, 1273, 5025, 1009, 5297, 6417, 13479, 1005, 3629, 1009, 2653, 13161, 1048, 11825, 1048, 3192, 1058, 1381, 10911, 20, 1, 4116, 2729, 1060, 1224, 1834, 1026, 14921, 3135, 6622, 1094, 19960, 1049, 1235, 10511, 15322, 1068, 1006, 17932, 5170, 20, 5841, 1096, 1094, 1871, 1009, 3871, 1048, 1511, 8236, 1006, 5994, 5293, 1026, 14921, 4597, 1094, 7562, 2464, 1356, 2444, 1114, 13058, 1411, 2177, 5434, 1068, 1111, 29130, 1569, 6106, 2097, 3271, 9343, 71, 5613, 1783, 9343, 1016, 6515, 2539, 8113, 2129, 17334, 1424, 1224, 30103, 1411, 4088, 6510, 6622, 31018, 28740, 1411, 3894, 30301, 3111, 3359, 5336, 10880, 1005, 10330, 2169, 5345, 1505, 2612, 5816, 1096, 1048, 1124, 1783, 12793, 1118, 2653, 1646, 1068, 1048, 1072, 1852, 1009, 1224, 1834, 1009, 2011, 1026, 22420, 2374, 26678, 3915, 2143, 2790, 4319, 1124, 1783, 1043, 10673, 20, 13295, 8545, 1160, 6515, 4008, 1068, 6537, 3638, 1048, 1050, 5254, 1006, 1109, 1446, 1026, 3266, 4873, 1147, 20, 4378, 6758, 1096, 16902, 1357, 3486, 10673, 1048, 4616, 1803, 1566, 1048, 2739, 1783, 1160, 13589, 4855, 3638, 12533, 10581, 1048, 1327, 14123, 25100, 6033, 6704, 1124, 1783, 9343, 1016, 1005, 1124, 1783, 1043, 10673, 1998, 7937, 1261, 1094, 7562, 1058, 3573, 6039, 1040, 2931, 1532, 1068, 1006, 17932, 5170, 20, 29509, 2739, 1783, 9343, 1016, 1160, 11863, 18, 1213, 2729, 1060, 1224, 5297, 11860, 1068, 3871, 1094, 16167, 7519, 8772, 20, 6883, 11346, 1006, 2323, 1060, 3811, 25811, 7537, 1060, 16646, 5170, 4509, 53, 2545, 15, 1195, 5447, 1026, 1106, 17478, 1874, 1009, 23873, 1112, 12304, 1140, 4045, 15240, 16075, 1106, 15240, 1096, 13721, 1068, 1783, 9343, 1016, 1005, 1783, 1043, 10673, 20, 11595, 1783, 13326, 2931, 1532, 2916, 1009, 1044, 10511, 8407, 1068, 10760, 1072, 6003, 4873, 1147, 1005, 1072, 4873, 1147, 1060, 15899, 22191, 1068, 1261, 3282, 1096, 3654, 1058, 13834, 1024, 1463, 6264, 15839, 1049, 2868, 1059, 8197, 1327, 4088, 37, 6174, 6264, 1068, 14608, 1049, 10472, 1327, 3822, 21082, 1063, 1944, 8545, 1096, 1054, 2869, 1233, 17516, 19814, 1043, 10673, 1160, 6510, 18398, 3386, 5293, 5195, 5216, 4666, 13745, 3283, 5924, 1044, 4062, 1769, 6023, 1173, 1780, 1077, 1224, 6758, 20, 5011, 1124, 1783, 9343, 1016, 10488, 1261, 1184, 1009, 13065, 1646, 8333, 1096, 3654, 1261, 3573, 2876, 1068, 1006, 17932, 5170, 20, 30605, 6062, 1096, 1026, 3311, 1048, 1755, 1026, 1106, 15240, 1060, 30103, 2275, 13187, 5267, 1325, 1114, 8315, 3003, 1009, 4305, 2523, 0, 10511, 1206, 1006, 27127, 1118, 3248, 1533, 8263, 1048, 15283, 1058, 1026, 10719, 15945, 1225, 1206, 1160, 3282, 1009, 4305, 1026, 10472, 1096, 1054, 2869, 1006, 7562, 7479, 20, 1972, 1261, 3177, 1213, 10472, 18, 1026, 10719, 15945, 3135, 18398, 3386, 1048, 1006, 7562, 7479, 1096, 1009, 1044, 5512, 1049, 10511, 8407, 1118, 3271, 27281, 3046, 1195, 29095, 1094, 6758, 1009, 14608, 1049, 10472, 20, 1138, 10719, 15945, 1976, 2593, 11782, 1981, 1072, 25421, 5982, 26114, 1187, 25971, 1049, 5731, 3517, 2663, 1019, 145, 84, 1221, 1565, 1972, 4855, 1989, 16215, 3283, 1058, 15091, 1213, 10004, 19795, 6338, 1009, 16646, 5170, 1206, 1062, 3776, 2545, 1060, 1224, 1641, 7550, 13354, 1026, 1106, 15240, 27990, 13354, 1026, 10472, 3283, 1026, 10719, 15945, 1206, 1026, 1235, 21491, 7492, 1058, 15091, 1213, 9361, 1049, 24131, 1184, 3867, 16446, 1188, 1187, 6638, 15333, 10151, 1526, 1009, 29295, 1043, 10151, 1526, 9421, 18, 4062, 1769, 6023, 1005, 6638, 1187, 10624, 1048, 3073, 1202, 1114, 2921, 2573, 4355, 3457, 16066, 7, 13189, 1235, 6455, 1005, 29047, 1184, 2266, 2324, 2576, 7012, 1383, 4066, 4093, 26331, 1940, 24575, 28088, 9637, 1318, 30087, 10199, 1184, 1322, 1026, 1106, 15240, 1005, 1569, 4034, 1467, 16167, 1298, 1178, 11148, 1159, 1094, 23338, 1009, 25608, 1049, 6730, 1068, 3371, 1783, 0, 1797, 19008, 1177, 1068, 1915, 1974, 11922, 15611, 24616, 2750, 7788, 20, 9520, 1159 ]

[ 1660, 3286, 22052, 2186, 10430, 6552, 89, 24676, 21534, 6593, 24519, 1467, 1432, 6340, 1034, 19940, 6170, 1590, 5363, 18, 8462, 6170, 1590, 5363, 18, 5218, 15300, 81, 1691, 5728, 1221, 5919, 14442, 3141, 1047, 1009, 3030, 5, 4826, 39, 2503, 1223, 2972, 9532, 22824, 8018, 92, 5081, 1467, 1925, 11440, 1467, 1925, 3512, 16136, 1231, 2503, 8871, 1623, 1632, 1525, 18762, 2327, 15055, 3996, 4307, 4070, 3512, 3008, 1024, 8141, 15981, 2112, 2324, 1052, 16537, 1029, 1759, 1081, 1214, 1007, 19905, 124, 92, 2787, 5, 145, 8021, 1814, 3258, 2801, 3576, 1056, 2840, 1205, 18342, 2503, 1392, 1605, 1048, 1663, 9648, 1848, 3141, 1252, 1243, 3576, 1034, 2024, 15382, 31438, 76, 3087, 1049, 2709, 11479, 4757, 1342, 31438, 1432, 1199, 2995, 1093, 2435, 3008, 1185, 1021, 12565, 1259, 1105, 1013, 1371, 18698, 2293, 1962, 11270, 14917, 1009, 4446, 20, 1009, 4053, 11958, 1946, 1068, 5470, 5, 5851, 1026, 5862, 1060, 27938, 1048, 4647, 10919, 1054, 4053, 8057, 31166, 32, 1675, 1009, 1286, 20, 1009, 4229, 3576, 1034, 9234, 1381, 1751, 1060, 2348, 1834, 2271, 20559, 8836, 2402, 1068, 1419, 3398, 1172, 4142, 85, 5600, 7266, 1024, 1054, 1734, 18329, 1229, 15195, 3398, 1718, 17789, 5574, 2089, 6963, 6993, 15916, 1634, 1087, 1174, 1470, 1608, 18, 10572, 23478, 83, 1728, 8836, 9234, 1160, 1096, 5417, 1848, 1009, 1044, 2269, 1068, 18734, 2013, 1493, 1184, 1049, 1048, 9282, 8470, 1178, 1094, 5099, 1006, 6730, 1009, 1033, 23753, 1094, 5042, 1009, 8363, 8836, 9234, 6311, 1126, 17188, 20, 6472, 6141, 1006, 8150, 4225, 1014, 3408, 20, 5344, 1026, 5862, 1060, 27938, 1048, 4647, 10919, 37, 16839, 7032, 1006, 3907, 1009, 1663, 1124, 3010, 1016, 1715, 1206, 2306, 4337, 2373, 71, 27938, 8226, 5139, 18076, 1416, 1096, 4230, 4480, 37, 6215, 2063, 4417, 20, 22354, 17781, 15362, 5010, 9528, 17582, 20, 1063, 1834, 21314, 1005, 1006, 4614, 2155, 21573, 1026, 1048, 1096, 6740, 20, 5011, 1381, 1557, 1048, 29508, 1009, 4480, 1026, 1048, 23571, 1160, 2449, 3722, 1068, 10919, 20, 9627, 27060, 5831, 2845, 3552, 5099, 1009, 2011, 1068, 1006, 24204, 2638, 3787, 10545, 1140, 1009, 21823, 1005, 6950, 159, 1006, 2373, 89, 10146, 27938, 626, 37, 22357, 1250, 1160, 7981, 20, 2858, 2574, 1030, 6799, 1710, 162, 1068, 4883, 2350, 2210, 2447, 1005, 7135, 79, 12199, 1278, 1118, 14219, 2250, 1043, 1493, 2444, 1049, 1048, 3012, 1111, 1266, 20, 7141, 1089, 2250, 6708, 8815, 1005, 7383, 7425, 1128, 2448, 3629, 1005, 15890, 1009, 1664, 1213, 5211, 20, 6519, 1285, 1077, 9265, 2270, 1063, 2323, 3960, 4604, 1006, 8263, 7209, 20, 8836, 9234, 7743, 7, 1138, 6740, 20, 14336, 1094, 27938, 1009, 4786, 1005, 3311, 1533, 1010, 6734, 8717, 1323, 8009, 4975, 1006, 7743, 2112, 1005, 3675, 1819, 1026, 7856, 1060, 2373, 83, 3691, 626, 1114, 2348, 8150, 13295, 2624, 5227, 1508, 5862, 16955, 11676, 17600, 1416, 8734, 1009, 12675, 1169, 7382, 7823, 2193, 5831, 1006, 8738, 5850, 1048, 1160, 27614, 2161, 1786, 2537, 3424, 1063, 16142, 4641, 1005, 1006, 12635, 1826, 1054, 2143, 15682, 4083, 6390, 6880, 1048, 25852, 1043, 2306, 3711, 1966, 18, 1463, 1783, 1048, 5242, 1046, 2930, 13283, 1463, 3154, 1758, 1356, 5108, 1114, 5545, 20727, 1114, 2926, 1054, 4604, 1114, 1638, 3749, 20993, 1072, 10683, 18818, 1069, 1072, 4474, 6302, 2430, 1241, 1259, 1024, 1096, 1044, 4135, 2037, 1096, 9265, 1599, 1096, 8172, 1704, 1901, 1325, 9454, 1213, 2822, 1005, 1044, 2017, 8566, 1566, 25049, 1377, 10590, 1114, 3907, 1009, 1663, 1006, 27938, 1068, 17207, 2435, 1054, 15248, 5344, 1026, 5862, 1060, 27938, 1048, 1299, 2572, 10919, 37, 9125, 2048, 1006, 7743, 2112, 3901, 20927, 1026, 5862, 1060, 18076, 17530, 4150, 1184, 27172, 1096, 10830, 1006, 8150, 2013, 3291, 1026, 2161, 2733, 1009, 1752, 2210, 1328, 1048, 17005, 3182, 1114, 1224, 27938, 1005, 1058, 1325, 24176, 1058, 1299, 21786, 3022, 1096, 2246, 10495, 3711, 1966, 3590, 4201, 2402, 1006, 1664, 1044, 25377, 1005, 2152, 1167, 9192, 6969, 5721, 1124, 14510, 6912, 1312, 1072, 2293, 3279, 1049, 7247, 1026, 3152, 1114, 7022, 25622, 1509, 2669, 1005, 17834, 1638, 2370, 1356, 5108, 28644, 13993, 1087, 24860, 1031, 5764, 1175, 19485, 5385, 1302, 79, 23364, 1005, 8746, 1175, 1225, 1026, 26262, 1429, 9213, 1069, 1054, 3179, 3114, 19879, 4567, 1009, 12818, 1564, 1016, 1005, 16368, 1273, 1054, 7624, 7289, 1026, 4861, 8836, 9234, 1356, 4819, 20, 4685, 15092, 1569, 6978, 1072, 9891, 4009, 11927, 1785, 9234, 23205, 1104, 2391, 1005, 1072, 6332, 1114, 3922, 8159, 60, 1034, 9234, 54, 1631, 51, 2391, 20, 1, 1766, 5364, 1009, 11475, 18625, 7537, 1005, 10026, 16696, 2068, 1648, 1371, 3552, 28218, 4581, 6085, 15179, 21774, 1140, 1043, 2127, 12536, 1048, 1651, 3493, 1213, 10031, 19486, 1068, 1006, 5034, 1005, 9425, 1009, 3171, 11195, 8745, 3534, 1016, 3905, 1009, 11051, 1273, 16899, 1715, 1, 1138, 3747, 1009, 3246, 1049, 4223, 8193, 3156, 1079, 23658, 1910, 2744, 1009, 8069, 4846, 1424, 1044, 1784, 1006, 7737, 8435, 1043, 1184, 9827, 7253, 1043, 1712, 8436, 2176, 1009, 19688, 1571, 1096, 1048, 1668, 1096, 15335, 37, 1603, 9410, 1072, 6942, 1233, 18806, 1005, 1233, 13971, 1324, 2115, 1792, 20, 2013, 1592, 1294, 26905, 1932, 1005, 1294, 15303, 15087, 8, 1187, 26521, 11565, 1059, 3531, 1009, 9195, 18, 6391, 1175, 1782, 24364, 78, 2324, 1045, 1617, 1073, 1669, 1076, 1605, 3747, 1009, 3246, 1049, 4223, 8193, 3156, 1079, 23658, 1910, 2744, 1009, 8069, 4846, 1063, 5623, 4670, 6533, 7600, 6256, 15412, 1271, 4029, 12462, 1009, 3861, 1114, 2042, 1060, 12718, 2100, 4378, 7565, 1096, 2220, 1044, 3043, 2270, 1424, 1044, 1784, 1006, 7737, 8435, 1043, 1184, 9827, 7253, 1043, 1712, 8436, 2176, 1009, 19688, 1571, 1096, 1048, 1668, 1096, 15335, 37, 1603, 9410, 1072, 6942, 1233, 18806, 1005, 1233, 13971, 1324, 2115, 1792, 20, 2013, 1592, 1294, 26905, 1932, 1005, 1294, 15303, 15087, 8, 1187, 26521, 11565, 8530, 1908, 1043, 2444, 1009, 1307, 2744, 1009, 4231, 1836, 1006, 17414, 6514, 2744, 1009, 9697, 1118, 3757, 1054, 1325, 74, 4261, 1090, 14636, 14730, 1005, 14920, 15142, 1266, 1410, 2012, 1068, 10995, 1026, 1908, 1068, 1026, 19926, 3673, 1177, 32, 1044, 3225, 1009, 23658, 1910, 22438, 1972, 4176, 2762, 2220, 1026, 9112, 1009, 2497, 4894, 1068, 19001, 1096, 29752, 1910, 2744, 1005, 1026, 15585, 4894, 1096, 1009, 29575, 1910, 22438, 1984, 2624, 1184, 1048, 1026, 6072, 1049, 3810, 5178, 4228, 19990, 4053, 1175, 10094, 1006, 9716, 4337, 6016, 1006, 21868, 13747, 2042, 3019, 5178, 1096, 4445, 1009, 1201, 3144, 1766, 26521, 11565, 1049, 4223, 8193, 5588, 3453, 1006, 1184, 1005, 6510, 1009, 1026, 5501, 1028, 1029, 16047, 22325, 1084, 1566, 1058, 19382, 1132, 26521, 11565, 11825, 26497, 1024, 6000, 1005, 18065, 2122, 9924, 1060, 9716, 1048, 25894, 2793, 2232, 2705, 73, 1140, 1054, 18009, 15156, 1009, 12207, 20, 6751, 1596, 17110, 1799, 31873, 3552, 11296, 15111, 6116, 1009, 5449, 20, 15121, 5178, 1009, 8471, 1009, 17179, 1132, 1456, 6709, 1657, 12093, 1011, 9708, 17576, 12650, 1009, 3997, 6826, 2170, 1068, 31630, 1006, 3248, 1533, 6411, 1187, 26521, 11565, 1322, 86, 5892, 1371, 1679, 3997, 6826, 1005, 1592, 1679, 4615, 1554, 7672, 2533, 1126, 4118, 1377, 15121, 1187, 8810, 1184, 2204, 16827, 2585, 1006, 5641, 1009, 26394, 1294, 31873, 1195, 16008, 1233, 3808, 30667, 2605, 2122, 10617, 18502, 1318, 2612, 1048, 1006, 24871, 3431, 1026, 1770, 12121, 1208, 1005, 1132, 20784, 1009, 8471, 1009, 11556, 2199, 6802, 1233, 5641, 1463, 14205, 1205, 7309, 1187, 31873, 20, 27317, 25623, 4290, 1596, 21929, 1005, 9736, 1166, 1068, 1026, 4223, 8193, 1068, 30009, 1009, 7886, 1704, 16672, 1043, 1026, 1235, 4957, 1009, 18003, 1006, 6925, 1005, 1009, 1150, 1135, 4828, 1162, 13668, 8, 1096, 1044, 1187, 8326, 15936, 3259, 1068, 1132, 26521, 88, 5345, 26425, 7382, 5915, 2915, 1736, 1072, 3399, 10641, 8382, 27946, 1014, 1387, 15268, 78, 1623, 1174, 79, 1072, 7083, 9688, 5523, 1014, 1183, 3926, 3492, 1089, 81, 24348, 2356, 1072, 18004, 20647, 1132, 9630, 1689, 1009, 4815, 1095, 7861, 4285, 1018, 1358, 8165, 1294, 8521, 1049, 2417, 4899, 16097, 18, 23793, 2638, 84, 11721, 1114, 27604, 9039, 2773, 16823, 31630, 2653, 9918, 8886, 1094, 1271, 1569, 6609, 4487, 1096, 25346, 1114, 8323, 1187, 2653, 8471, 1009, 2744, 27956, 9078, 9683, 3356, 2602, 1006, 1044, 4465, 1169, 2040, 12018, 1060, 17614, 1294, 1475, 1018, 1187, 4731, 1005, 11787, 1187, 5962, 2223, 3782, 1160, 1058, 1976, 1213, 4465, 1009, 3970, 10260, 1159, 1124, 16558, 30540, 1049, 6337, 1130, 8829, 13143, 1343, 27512, 1005, 1159, 1132, 6003, 6165, 2105, 73, 13749, 2218, 11263, 6003, 12444, 5957, 2491, 1166, 6910, 4830, 21328, 1371, 2072, 1998, 1213, 12253, 1187, 26521, 11565, 9507, 3453, 1006, 1184, 1005, 1760, 3890, 1009, 1026, 15303, 1334, 1698, 8, 1855, 4846, 8974, 1096, 1072, 3861, 2952, 1187, 8521, 1005, 1463, 1717, 7854, 1009, 20950, 4013, 89, 1533, 9743, 1096, 11342, 1785, 32, 1132, 26521, 11565, 2643, 25007, 20901, 1084, 1616, 1096, 1044, 2863, 1068, 1006, 3028, 1834, 1054, 20752, 2013, 1044, 2863, 1068, 1026, 10202, 2246, 1132, 1456, 8235, 30260, 1040, 1006, 4008, 1009, 1834, 1114, 26136, 2013, 1044, 2863, 1068, 1006, 5337, 2246, 1006, 30260, 1040, 32, 9637, 1371, 1026, 2535, 1060, 17614, 1294, 1475, 1018, 1187, 4731, 1005, 6181, 2059, 1371, 1026, 1592, 7825, 6294, 2816, 1068, 1026, 4410, 1060, 27729, 4519, 1530, 1048, 2947, 1068, 2143, 2859, 1565, 2013, 1044, 2863, 2246, 1327, 17110, 2328, 1060, 3649, 1009, 7663, 24257, 1005, 1049, 18799, 1303, 1049, 2161, 1048, 1132, 6709, 13326, 1356, 1235, 10864, 1084, 1096, 1044, 2863, 1068, 1124, 5551, 2233, 13317, 2374, 1006, 10902, 1009, 7510, 16604, 1679, 6043, 5305, 1009, 8817, 1048, 1274, 1040, 1006, 6532, 156, 3470, 13204, 19, 3932, 2255, 2374, 1043, 1026, 12114, 1187, 26521, 11565, 1006, 19844, 1072, 8556, 20, 1, 14567, 12978, 5319, 1026, 7228, 1043, 1006, 17224, 1048, 17212, 2252, 1124, 2266, 1322, 1132, 5283, 1005, 3140, 1009, 1871, 8403, 1005, 14343, 4073, 3871, 1026, 3177, 1233, 4734, 1357, 2779, 12045, 1423, 22621, 1005, 2997, 19824, 1679, 11442, 1049, 8346, 4547, 1006, 7030, 1009, 24470, 3322, 2698, 1006, 6477, 1009, 27371, 1054, 1557, 2733, 1187, 4203, 1005, 28743, 9974, 1060, 3633, 5110, 1059, 4439, 1435, 12138, 1049, 6134, 20446, 21070, 1006, 3597, 1318, 12978, 5319, 1026, 7228, 1043, 1006, 17224, 1048, 17212, 2252, 1124, 2266, 1322, 1132, 5283, 1005, 3140, 1009, 1871, 8403, 1005, 14343, 12904, 58, 2315, 1493, 7931, 1005, 2752, 1631, 1043, 1006, 3616, 15289, 1043, 1026, 2115, 1304, 10445, 1043, 1664, 1132, 12045, 27837, 9378, 1048, 2533, 1046, 11361, 1005, 1048, 23009, 1009, 3230, 1026, 5606, 1043, 3140, 1005, 3425, 8317, 4324, 11970, 1379, 1026, 6134, 5613, 27371, 1693, 1178, 4089, 1312, 2309, 22332, 7878, 1060, 7030, 1009, 24470, 1072, 6332, 4593, 21417, 4177, 1255, 4645, 20, 1385, 1423, 27427, 1005, 1072, 9891, 15687, 1255, 4645, 1131, 1385, 1423, 27427, 1005, 1026, 3284, 2177, 27533, 1620, 1072, 5979, 1049, 29077, 2645, 1013, 4645, 2036, 45, 85, 1423, 1034, 3377, 11977, 5079, 10664, 78, 26708, 2555, 6699, 3564, 31656, 29546, 29083, 1312, 5, 8259, 2250, 1009, 5110, 3564, 2109, 5213, 28217, 1294, 4181, 3114, 2250, 1009, 5110, 20446, 4934, 9891, 1060, 7030, 10752, 30077, 1043, 1026, 19292, 20446, 4934, 24601, 1043, 16508, 2952, 4720, 1046, 1054, 24470, 1, 2034, 18471, 1009, 9458, 1048, 1826, 25323, 1463, 17819, 25546, 1223, 2227, 1826, 10298, 10417, 1005, 9312, 1463, 9913, 29371, 24206, 1322, 2350, 8545, 23498, 1048, 1124, 18471, 1009, 12050, 6966, 6884, 1006, 10181, 1072, 18088, 7277, 1124, 1783, 8097, 18, 2247, 1009, 4294, 3273, 1043, 2739, 4759, 7823, 11693, 26059, 1322, 1006, 7689, 1049, 11279, 1292, 30489, 4617, 28860, 1505, 3005, 2930, 23436, 18, 19528, 12216, 9410, 1124, 3145, 8155, 3057, 4449, 22449, 11421, 29395, 1184, 1898, 26533, 1894, 22006, 16240, 1463, 17819, 21207, 1312, 1356, 9458, 1691, 1056, 8833, 1009, 12050, 1072, 13455, 9610, 1026, 13202, 19285, 1049, 2671, 1114, 4380, 10404, 14892, 45, 28046, 1292, 2890, 3093, 53, 1197, 2314, 4093, 13386, 28165, 1044, 6737, 1068, 24945, 2433, 31758, 1024, 3484, 4093, 19108, 16, 2324, 2576, 16, 1383, 4066, 16, 8018, 73, 2118, 1054, 3823, 2092, 10840, 6455, 1005, 3284, 1068, 1048, 2092, 6737, 4172, 1178, 22587, 1005, 11662, 1072, 2788, 18868, 21247, 1235, 6737, 5, 295, 2503, 2477, 13241, 8422, 3074, 13520, 1044, 4241, 2512, 1049, 11279, 1292, 2890, 1072, 13455, 2246, 37, 18515, 1027, 15830, 1578, 1009, 3268, 1009, 4229, 1587, 1212, 14461, 10778, 1009, 1419, 2841, 1096, 17871, 1069, 1049, 2671, 1068, 1006, 22738, 11279, 1292, 2890, 37, 3576, 5004, 1087, 1130, 12553, 1623, 1158, 1009, 3268, 1009, 4229, 1587, 19632, 3008, 79, 2364, 1048, 1026, 11279, 1292, 2890, 1160, 1298, 3371, 1006 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1660, 3286, 22052, 2186, 10430, 6552, 89, 24676, 21534, 6593, 24519, 1467, 1432, 6340, 1034, 19940, 6170, 1590, 5363, 18, 8462, 6170, 1590, 5363, 18, 5218, 15300, 81, 1691, 5728, 1221, 5919, 14442, 3141, 1047, 1009, 3030, 5, 4826, 39, 2503, 1223, 2972, 9532, 22824, 8018, 92, 5081, 1467, 1925, 11440, 1467, 1925, 3512, 16136, 1231, 2503, 8871, 1623, 1632, 1525, 18762, 2327, 15055, 3996, 4307, 4070, 3512, 3008, 1024, 8141, 15981, 2112, 2324, 1052, 16537, 1029, 1759, 1081, 1214, 1007, 19905, 124, 92, 2787, 5, 145, 8021, 1814, 3258, 2801, 3576, 1056, 2840, 1205, 18342, 2503, 1392, 1605, 1048, 1663, 9648, 1848, 3141, 1252, 1243, 3576, 1034, 2024, 15382, 31438, 76, 3087, 1049, 2709, 11479, 4757, 1342, 31438, 1432, 1199, 2995, 1093, 2435, 3008, 1185, 1021, 12565, 1259, 1105, 1013, 1371, 18698, 2293, 1962, 11270, 14917, 1009, 4446, 20, 1009, 4053, 11958, 1946, 1068, 5470, 5, 5851, 1026, 5862, 1060, 27938, 1048, 4647, 10919, 1054, 4053, 8057, 31166, 32, 1675, 1009, 1286, 20, 1009, 4229, 3576, 1034, 9234, 1381, 1751, 1060, 2348, 1834, 2271, 20559, 8836, 2402, 1068, 1419, 3398, 1172, 4142, 85, 5600, 7266, 1024, 1054, 1734, 18329, 1229, 15195, 3398, 1718, 17789, 5574, 2089, 6963, 6993, 15916, 1634, 1087, 1174, 1470, 1608, 18, 10572, 23478, 83, 1728, 8836, 9234, 1160, 1096, 5417, 1848, 1009, 1044, 2269, 1068, 18734, 2013, 1493, 1184, 1049, 1048, 9282, 8470, 1178, 1094, 5099, 1006, 6730, 1009, 1033, 23753, 1094, 5042, 1009, 8363, 8836, 9234, 6311, 1126, 17188, 20, 6472, 6141, 1006, 8150, 4225, 1014, 3408, 20, 5344, 1026, 5862, 1060, 27938, 1048, 4647, 10919, 37, 16839, 7032, 1006, 3907, 1009, 1663, 1124, 3010, 1016, 1715, 1206, 2306, 4337, 2373, 71, 27938, 8226, 5139, 18076, 1416, 1096, 4230, 4480, 37, 6215, 2063, 4417, 20, 22354, 17781, 15362, 5010, 9528, 17582, 20, 1063, 1834, 21314, 1005, 1006, 4614, 2155, 21573, 1026, 1048, 1096, 6740, 20, 5011, 1381, 1557, 1048, 29508, 1009, 4480, 1026, 1048, 23571, 1160, 2449, 3722, 1068, 10919, 20, 9627, 27060, 5831, 2845, 3552, 5099, 1009, 2011, 1068, 1006, 24204, 2638, 3787, 10545, 1140, 1009, 21823, 1005, 6950, 159, 1006, 2373, 89, 10146, 27938, 626, 37, 22357, 1250, 1160, 7981, 20, 2858, 2574, 1030, 6799, 1710, 162, 1068, 4883, 2350, 2210, 2447, 1005, 7135, 79, 12199, 1278, 1118, 14219, 2250, 1043, 1493, 2444, 1049, 1048, 3012, 1111, 1266, 20, 7141, 1089, 2250, 6708, 8815, 1005, 7383, 7425, 1128, 2448, 3629, 1005, 15890, 1009, 1664, 1213, 5211, 20, 6519, 1285, 1077, 9265, 2270, 1063, 2323, 3960, 4604, 1006, 8263, 7209, 20, 8836, 9234, 7743, 7, 1138, 6740, 20, 14336, 1094, 27938, 1009, 4786, 1005, 3311, 1533, 1010, 6734, 8717, 1323, 8009, 4975, 1006, 7743, 2112, 1005, 3675, 1819, 1026, 7856, 1060, 2373, 83, 3691, 626, 1114, 2348, 8150, 13295, 2624, 5227, 1508, 5862, 16955, 11676, 17600, 1416, 8734, 1009, 12675, 1169, 7382, 7823, 2193, 5831, 1006, 8738, 5850, 1048, 1160, 27614, 2161, 1786, 2537, 3424, 1063, 16142, 4641, 1005, 1006, 12635, 1826, 1054, 2143, 15682, 4083, 6390, 6880, 1048, 25852, 1043, 2306, 3711, 1966, 18, 1463, 1783, 1048, 5242, 1046, 2930, 13283, 1463, 3154, 1758, 1356, 5108, 1114, 5545, 20727, 1114, 2926, 1054, 4604, 1114, 1638, 3749, 20993, 1072, 10683, 18818, 1069, 1072, 4474, 6302, 2430, 1241, 1259, 1024, 1096, 1044, 4135, 2037, 1096, 9265, 1599, 1096, 8172, 1704, 1901, 1325, 9454, 1213, 2822, 1005, 1044, 2017, 8566, 1566, 25049, 1377, 10590, 1114, 3907, 1009, 1663, 1006, 27938, 1068, 17207, 2435, 1054, 15248, 5344, 1026, 5862, 1060, 27938, 1048, 1299, 2572, 10919, 37, 9125, 2048, 1006, 7743, 2112, 3901, 20927, 1026, 5862, 1060, 18076, 17530, 4150, 1184, 27172, 1096, 10830, 1006, 8150, 2013, 3291, 1026, 2161, 2733, 1009, 1752, 2210, 1328, 1048, 17005, 3182, 1114, 1224, 27938, 1005, 1058, 1325, 24176, 1058, 1299, 21786, 3022, 1096, 2246, 10495, 3711, 1966, 3590, 4201, 2402, 1006, 1664, 1044, 25377, 1005, 2152, 1167, 9192, 6969, 5721, 1124, 14510, 6912, 1312, 1072, 2293, 3279, 1049, 7247, 1026, 3152, 1114, 7022, 25622, 1509, 2669, 1005, 17834, 1638, 2370, 1356, 5108, 28644, 13993, 1087, 24860, 1031, 5764, 1175, 19485, 5385, 1302, 79, 23364, 1005, 8746, 1175, 1225, 1026, 26262, 1429, 9213, 1069, 1054, 3179, 3114, 19879, 4567, 1009, 12818, 1564, 1016, 1005, 16368, 1273, 1054, 7624, 7289, 1026, 4861, 8836, 9234, 1356, 4819, 20, 4685, 15092, 1569, 6978, 1072, 9891, 4009, 11927, 1785, 9234, 23205, 1104, 2391, 1005, 1072, 6332, 1114, 3922, 8159, 60, 1034, 9234, 54, 1631, 51, 2391, 20, 1, 1766, 5364, 1009, 11475, 18625, 7537, 1005, 10026, 16696, 2068, 1648, 1371, 3552, 28218, 4581, 6085, 15179, 21774, 1140, 1043, 2127, 12536, 1048, 1651, 3493, 1213, 10031, 19486, 1068, 1006, 5034, 1005, 9425, 1009, 3171, 11195, 8745, 3534, 1016, 3905, 1009, 11051, 1273, 16899, 1715, 1, 1138, 3747, 1009, 3246, 1049, 4223, 8193, 3156, 1079, 23658, 1910, 2744, 1009, 8069, 4846, 1424, 1044, 1784, 1006, 7737, 8435, 1043, 1184, 9827, 7253, 1043, 1712, 8436, 2176, 1009, 19688, 1571, 1096, 1048, 1668, 1096, 15335, 37, 1603, 9410, 1072, 6942, 1233, 18806, 1005, 1233, 13971, 1324, 2115, 1792, 20, 2013, 1592, 1294, 26905, 1932, 1005, 1294, 15303, 15087, 8, 1187, 26521, 11565, 1059, 3531, 1009, 9195, 18, 6391, 1175, 1782, 24364, 78, 2324, 1045, 1617, 1073, 1669, 1076, 1605, 3747, 1009, 3246, 1049, 4223, 8193, 3156, 1079, 23658, 1910, 2744, 1009, 8069, 4846, 1063, 5623, 4670, 6533, 7600, 6256, 15412, 1271, 4029, 12462, 1009, 3861, 1114, 2042, 1060, 12718, 2100, 4378, 7565, 1096, 2220, 1044, 3043, 2270, 1424, 1044, 1784, 1006, 7737, 8435, 1043, 1184, 9827, 7253, 1043, 1712, 8436, 2176, 1009, 19688, 1571, 1096, 1048, 1668, 1096, 15335, 37, 1603, 9410, 1072, 6942, 1233, 18806, 1005, 1233, 13971, 1324, 2115, 1792, 20, 2013, 1592, 1294, 26905, 1932, 1005, 1294, 15303, 15087, 8, 1187, 26521, 11565, 8530, 1908, 1043, 2444, 1009, 1307, 2744, 1009, 4231, 1836, 1006, 17414, 6514, 2744, 1009, 9697, 1118, 3757, 1054, 1325, 74, 4261, 1090, 14636, 14730, 1005, 14920, 15142, 1266, 1410, 2012, 1068, 10995, 1026, 1908, 1068, 1026, 19926, 3673, 1177, 32, 1044, 3225, 1009, 23658, 1910, 22438, 1972, 4176, 2762, 2220, 1026, 9112, 1009, 2497, 4894, 1068, 19001, 1096, 29752, 1910, 2744, 1005, 1026, 15585, 4894, 1096, 1009, 29575, 1910, 22438, 1984, 2624, 1184, 1048, 1026, 6072, 1049, 3810, 5178, 4228, 19990, 4053, 1175, 10094, 1006, 9716, 4337, 6016, 1006, 21868, 13747, 2042, 3019, 5178, 1096, 4445, 1009, 1201, 3144, 1766, 26521, 11565, 1049, 4223, 8193, 5588, 3453, 1006, 1184, 1005, 6510, 1009, 1026, 5501, 1028, 1029, 16047, 22325, 1084, 1566, 1058, 19382, 1132, 26521, 11565, 11825, 26497, 1024, 6000, 1005, 18065, 2122, 9924, 1060, 9716, 1048, 25894, 2793, 2232, 2705, 73, 1140, 1054, 18009, 15156, 1009, 12207, 20, 6751, 1596, 17110, 1799, 31873, 3552, 11296, 15111, 6116, 1009, 5449, 20, 15121, 5178, 1009, 8471, 1009, 17179, 1132, 1456, 6709, 1657, 12093, 1011, 9708, 17576, 12650, 1009, 3997, 6826, 2170, 1068, 31630, 1006, 3248, 1533, 6411, 1187, 26521, 11565, 1322, 86, 5892, 1371, 1679, 3997, 6826, 1005, 1592, 1679, 4615, 1554, 7672, 2533, 1126, 4118, 1377, 15121, 1187, 8810, 1184, 2204, 16827, 2585, 1006, 5641, 1009, 26394, 1294, 31873, 1195, 16008, 1233, 3808, 30667, 2605, 2122, 10617, 18502, 1318, 2612, 1048, 1006, 24871, 3431, 1026, 1770, 12121, 1208, 1005, 1132, 20784, 1009, 8471, 1009, 11556, 2199, 6802, 1233, 5641, 1463, 14205, 1205, 7309, 1187, 31873, 20, 27317, 25623, 4290, 1596, 21929, 1005, 9736, 1166, 1068, 1026, 4223, 8193, 1068, 30009, 1009, 7886, 1704, 16672, 1043, 1026, 1235, 4957, 1009, 18003, 1006, 6925, 1005, 1009, 1150, 1135, 4828, 1162, 13668, 8, 1096, 1044, 1187, 8326, 15936, 3259, 1068, 1132, 26521, 88, 5345, 26425, 7382, 5915, 2915, 1736, 1072, 3399, 10641, 8382, 27946, 1014, 1387, 15268, 78, 1623, 1174, 79, 1072, 7083, 9688, 5523, 1014, 1183, 3926, 3492, 1089, 81, 24348, 2356, 1072, 18004, 20647, 1132, 9630, 1689, 1009, 4815, 1095, 7861, 4285, 1018, 1358, 8165, 1294, 8521, 1049, 2417, 4899, 16097, 18, 23793, 2638, 84, 11721, 1114, 27604, 9039, 2773, 16823, 31630, 2653, 9918, 8886, 1094, 1271, 1569, 6609, 4487, 1096, 25346, 1114, 8323, 1187, 2653, 8471, 1009, 2744, 27956, 9078, 9683, 3356, 2602, 1006, 1044, 4465, 1169, 2040, 12018, 1060, 17614, 1294, 1475, 1018, 1187, 4731, 1005, 11787, 1187, 5962, 2223, 3782, 1160, 1058, 1976, 1213, 4465, 1009, 3970, 10260, 1159, 1124, 16558, 30540, 1049, 6337, 1130, 8829, 13143, 1343, 27512, 1005, 1159, 1132, 6003, 6165, 2105, 73, 13749, 2218, 11263, 6003, 12444, 5957, 2491, 1166, 6910, 4830, 21328, 1371, 2072, 1998, 1213, 12253, 1187, 26521, 11565, 9507, 3453, 1006, 1184, 1005, 1760, 3890, 1009, 1026, 15303, 1334, 1698, 8, 1855, 4846, 8974, 1096, 1072, 3861, 2952, 1187, 8521, 1005, 1463, 1717, 7854, 1009, 20950, 4013, 89, 1533, 9743, 1096, 11342, 1785, 32, 1132, 26521, 11565, 2643, 25007, 20901, 1084, 1616, 1096, 1044, 2863, 1068, 1006, 3028, 1834, 1054, 20752, 2013, 1044, 2863, 1068, 1026, 10202, 2246, 1132, 1456, 8235, 30260, 1040, 1006, 4008, 1009, 1834, 1114, 26136, 2013, 1044, 2863, 1068, 1006, 5337, 2246, 1006, 30260, 1040, 32, 9637, 1371, 1026, 2535, 1060, 17614, 1294, 1475, 1018, 1187, 4731, 1005, 6181, 2059, 1371, 1026, 1592, 7825, 6294, 2816, 1068, 1026, 4410, 1060, 27729, 4519, 1530, 1048, 2947, 1068, 2143, 2859, 1565, 2013, 1044, 2863, 2246, 1327, 17110, 2328, 1060, 3649, 1009, 7663, 24257, 1005, 1049, 18799, 1303, 1049, 2161, 1048, 1132, 6709, 13326, 1356, 1235, 10864, 1084, 1096, 1044, 2863, 1068, 1124, 5551, 2233, 13317, 2374, 1006, 10902, 1009, 7510, 16604, 1679, 6043, 5305, 1009, 8817, 1048, 1274, 1040, 1006, 6532, 156, 3470, 13204, 19, 3932, 2255, 2374, 1043, 1026, 12114, 1187, 26521, 11565, 1006, 19844, 1072, 8556, 20, 1, 14567, 12978, 5319, 1026, 7228, 1043, 1006, 17224, 1048, 17212, 2252, 1124, 2266, 1322, 1132, 5283, 1005, 3140, 1009, 1871, 8403, 1005, 14343, 4073, 3871, 1026, 3177, 1233, 4734, 1357, 2779, 12045, 1423, 22621, 1005, 2997, 19824, 1679, 11442, 1049, 8346, 4547, 1006, 7030, 1009, 24470, 3322, 2698, 1006, 6477, 1009, 27371, 1054, 1557, 2733, 1187, 4203, 1005, 28743, 9974, 1060, 3633, 5110, 1059, 4439, 1435, 12138, 1049, 6134, 20446, 21070, 1006, 3597, 1318, 12978, 5319, 1026, 7228, 1043, 1006, 17224, 1048, 17212, 2252, 1124, 2266, 1322, 1132, 5283, 1005, 3140, 1009, 1871, 8403, 1005, 14343, 12904, 58, 2315, 1493, 7931, 1005, 2752, 1631, 1043, 1006, 3616, 15289, 1043, 1026, 2115, 1304, 10445, 1043, 1664, 1132, 12045, 27837, 9378, 1048, 2533, 1046, 11361, 1005, 1048, 23009, 1009, 3230, 1026, 5606, 1043, 3140, 1005, 3425, 8317, 4324, 11970, 1379, 1026, 6134, 5613, 27371, 1693, 1178, 4089, 1312, 2309, 22332, 7878, 1060, 7030, 1009, 24470, 1072, 6332, 4593, 21417, 4177, 1255, 4645, 20, 1385, 1423, 27427, 1005, 1072, 9891, 15687, 1255, 4645, 1131, 1385, 1423, 27427, 1005, 1026, 3284, 2177, 27533, 1620, 1072, 5979, 1049, 29077, 2645, 1013, 4645, 2036, 45, 85, 1423, 1034, 3377, 11977, 5079, 10664, 78, 26708, 2555, 6699, 3564, 31656, 29546, 29083, 1312, 5, 8259, 2250, 1009, 5110, 3564, 2109, 5213, 28217, 1294, 4181, 3114, 2250, 1009, 5110, 20446, 4934, 9891, 1060, 7030, 10752, 30077, 1043, 1026, 19292, 20446, 4934, 24601, 1043, 16508, 2952, 4720, 1046, 1054, 24470, 1, 2034, 18471, 1009, 9458, 1048, 1826, 25323, 1463, 17819, 25546, 1223, 2227, 1826, 10298, 10417, 1005, 9312, 1463, 9913, 29371, 24206, 1322, 2350, 8545, 23498, 1048, 1124, 18471, 1009, 12050, 6966, 6884, 1006, 10181, 1072, 18088, 7277, 1124, 1783, 8097, 18, 2247, 1009, 4294, 3273, 1043, 2739, 4759, 7823, 11693, 26059, 1322, 1006, 7689, 1049, 11279, 1292, 30489, 4617, 28860, 1505, 3005, 2930, 23436, 18, 19528, 12216, 9410, 1124, 3145, 8155, 3057, 4449, 22449, 11421, 29395, 1184, 1898, 26533, 1894, 22006, 16240, 1463, 17819, 21207, 1312, 1356, 9458, 1691, 1056, 8833, 1009, 12050, 1072, 13455, 9610, 1026, 13202, 19285, 1049, 2671, 1114, 4380, 10404, 14892, 45, 28046, 1292, 2890, 3093, 53, 1197, 2314, 4093, 13386, 28165, 1044, 6737, 1068, 24945, 2433, 31758, 1024, 3484, 4093, 19108, 16, 2324, 2576, 16, 1383, 4066, 16, 8018, 73, 2118, 1054, 3823, 2092, 10840, 6455, 1005, 3284, 1068, 1048, 2092, 6737, 4172, 1178, 22587, 1005, 11662, 1072, 2788, 18868, 21247, 1235, 6737, 5, 295, 2503, 2477, 13241, 8422, 3074, 13520, 1044, 4241, 2512, 1049, 11279, 1292, 2890, 1072, 13455, 2246, 37, 18515, 1027, 15830, 1578, 1009, 3268, 1009, 4229, 1587, 1212, 14461, 10778, 1009, 1419, 2841, 1096, 17871, 1069, 1049, 2671, 1068, 1006, 22738, 11279, 1292, 2890, 37, 3576, 5004, 1087, 1130, 12553, 1623, 1158, 1009, 3268, 1009, 4229, 1587, 19632, 3008, 79, 2364, 1048, 1026, 11279, 1292, 2890, 1160, 1298, 3371, 1006 ]

[ 11198, 2502, 1009, 30791, 1006, 1429, 29345, 2097, 1132, 4344, 94, 1402, 1009, 17413, 5555, 7400, 1327, 11198, 2502, 1049, 8445, 75, 1049, 7867, 2556, 4142, 2270, 10634, 1298, 1178, 6248, 1188, 1048, 2034, 15721, 1160, 2569, 20104, 1049, 1238, 1048, 12860, 11878, 1374, 73, 2154, 1048, 1298, 11410, 1006, 1834, 1639, 29813, 1, 4714, 3748, 1044, 4902, 1005, 2449, 1048, 27045, 1407, 1024, 1006, 3484, 6672, 1068, 1006, 4960, 1986, 1026, 2859, 20, 19984, 32, 3713, 1566, 1058, 9285, 1118, 1048, 1726, 2624, 1299, 1225, 1044, 7482, 3179, 19241, 1068, 1094, 3271, 1048, 1299, 5404, 1009, 5574, 37, 13295, 2624, 5137, 2315, 1006, 1944, 9525, 1009, 1094, 3271, 8846, 1114, 1359, 23, 1060, 5913, 1009, 1094, 3271, 1206, 1060, 2596, 1357, 1428, 1264, 1206, 1687, 1058, 4792, 2275, 1138, 7856, 1096, 17644, 1160, 1657, 1118, 2880, 1206, 23339, 13629, 2565, 1309, 1318, 1118, 5061, 1009, 5556, 1160, 27888, 18, 1159, 17369, 2823, 1007, 3150, 1063, 5556, 1160, 27888, 1096, 2512, 2246, 15011, 1124, 3540, 1187, 1734, 1068, 5758, 1322, 1456, 6780, 31749, 5341, 10433, 4083, 2986, 12119, 1058, 29890, 1054, 3028, 12831, 18, 7939, 1005, 4101, 1175, 2374, 19187, 18924, 20340, 1206, 16613, 1175, 1068, 1048, 17506, 5431, 15639, 1305, 2598, 3754, 1094, 5133, 20, 1505, 2122, 22056, 1006, 3364, 1009, 3230, 17779, 12248, 1072, 1048, 4749, 2315, 2328, 1009, 3794, 26246, 1063, 5556, 1160, 27888, 1096, 12308, 1114, 12449, 17818, 2340, 4215, 1096, 4553, 2691, 6316, 5150, 14325, 4634, 2512, 10204, 3592, 6316, 7220, 4215, 6438, 1648, 1006, 14712, 1009, 2289, 1026, 1048, 1058, 1289, 1802, 9340, 1159, 4014, 1508, 5410, 1005, 13161, 18844, 1325, 4508, 1069, 1463, 6316, 28060, 1043, 1006, 5556, 1160, 27888, 20, 1063, 5556, 1160, 27888, 1096, 2512, 2246, 1325, 13742, 1043, 1006, 2706, 20, 12848, 17091, 1054, 2625, 1011, 3180, 7198, 20263, 18, 3408, 1005, 22761, 1054, 2625, 2706, 1916, 3735, 18, 25678, 14304, 1005, 1068, 2306, 1124, 1783, 3321, 1040, 1456, 17369, 1160, 13629, 1102, 8745, 1096, 1493, 31298, 1357, 2706, 1005, 4025, 20, 1063, 2706, 15283, 1026, 5762, 1160, 27888, 8625, 2270, 1505, 3018, 1132, 11172, 1009, 11833, 4548, 1054, 2693, 12721, 1309, 1224, 6723, 4629, 20, 8470, 1178, 18693, 1054, 2088, 3825, 1048, 1026, 2792, 1058, 7152, 1231, 1005, 1048, 1124, 3680, 1058, 2384, 5254, 1009, 6000, 21519, 33, 1054, 1734, 13705, 3592, 14766, 1009, 1744, 2526, 1693, 1178, 20338, 13104, 8886, 2706, 1225, 1224, 3486, 11267, 9080, 1322, 1006, 5556, 1160, 27888, 20, 1138, 1048, 1096, 13466, 1629, 3552, 2706, 1298, 1178, 6255, 1098, 2890, 18018, 1072, 6128, 20, 3316, 2706, 1298, 7556, 1048, 1132, 16448, 1068, 7726, 1044, 6560, 156, 1104, 1096, 13466, 1629, 33, 2143, 1298, 8316, 1989, 21571, 2296, 1131, 20, 22502, 12155, 23062, 3291, 1026, 9151, 1060, 3271, 1118, 2191, 1009, 3794, 4101, 2246, 5869, 20, 18792, 32, 1063, 32, 4800, 1419, 1026, 9151, 1009, 1094, 3271, 1054, 1235, 7939, 1106, 32, 1124, 12119, 1009, 1094, 3271, 1693, 1178, 7487, 1580, 2328, 1187, 4101, 25082, 1026, 9151, 1009, 1094, 3271, 1298, 1178, 7487, 1188, 2328, 1009, 1569, 11547, 1049, 2823, 1119, 32, 4800, 1419, 1026, 9151, 1009, 1094, 3271, 2328, 1009, 1224, 12831, 1257, 1063, 3484, 1006, 2237, 4960, 1096, 2083, 40, 32, 1124, 12119, 1009, 1094, 3271, 1693, 1178, 7487, 1580, 2328, 1187, 26246, 1, 22502, 12155, 15873, 32, 1175, 2861, 21581, 1114, 5033, 12, 26445, 3851, 33, 1006, 1011, 1209, 1076, 19224, 1371, 16396, 1044, 1049, 2143, 1175, 1233, 4375, 1048, 1124, 13564, 1058, 2409, 3982, 1857, 4224, 1040, 1094, 1807, 3722, 1175, 3735, 1006, 3722, 1096, 1807, 1026, 31055, 1006, 1011, 1209, 1076, 10609, 1175, 1138, 12511, 1096, 22836, 1159, 3894, 1175, 1063, 3894, 1058, 19224, 2328, 1060, 5033, 1114, 1871, 1009, 12705, 1175, 10770, 31462, 1026, 28704, 1175, 11092, 5892, 1048, 1006, 1011, 1209, 1076, 2155, 10572, 1184, 28694, 1159, 1616, 5341, 1945, 1132, 1261, 1656, 6574, 1009, 19756, 1206, 7920, 56, 2581, 45, 2393, 20, 5344, 1187, 4496, 1096, 1006, 25592, 14008, 1112, 37, 1175, 10507, 4975, 5232, 1094, 6947, 1049, 2568, 1175, 14338, 26158, 10507, 4975, 1094, 6947, 1049, 2568, 1175, 1160, 10507, 4975, 2073, 5628, 1049, 2568, 1257, 21567, 2083, 2202, 1006, 1011, 1209, 1076, 4219, 10572, 1184, 12606, 1049, 1048, 1026, 2540, 4576, 6178, 4834, 1044, 5802, 1114, 13917, 1005, 3722, 1187, 1261, 1656, 1252, 1554, 1138, 2568, 1009, 1261, 1656, 6574, 8981, 1026, 4241, 1009, 13564, 8684, 1550, 3589, 1048, 4224, 1040, 1094, 1807, 3722, 1094, 1322, 1006, 2924, 1233, 4375, 1048, 1058, 2409, 4830, 3735, 2237, 3722, 1058, 6293, 1493, 16137, 1006, 1011, 1209, 1076, 5503, 2339, 11198, 1077, 3894, 1114, 1871, 1009, 12705, 1015, 1513, 83, 1392, 1048, 31462, 1159, 1261, 1656, 1252, 1554, 1257, 1257, 1603, 1006, 1011, 1209, 1076, 1058, 5503, 21332, 1184, 12606, 1049, 1048, 1026, 2540, 4576, 3012, 10507, 2495, 5232, 1006, 6947, 1049, 2568, 1054, 1048, 1006, 1011, 1209, 1076, 1058, 10609, 20, 3782, 3012, 18580, 1054, 1261, 1656, 6574, 1184, 19949, 1206, 1184, 25928, 1566, 1048, 1006, 3894, 1048, 1096, 11198, 1196, 2909, 1712, 1049, 1048, 1058, 1006, 1011, 1209, 1076, 7211, 25582, 1184, 28496, 3423, 2668, 1058, 1006, 1011, 1209, 1076, 4219, 10572, 1054, 1044, 2386, 3630, 1049, 2540, 4576, 3012, 14338, 26158, 10507, 2495, 2089, 6982, 1049, 15346, 1159, 1026, 3439, 1048, 1124, 12705, 1015, 1513, 83, 1392, 2468, 1046, 1233, 4375, 1048, 1058, 2409, 1040, 2328, 1060, 26136, 1257, 36, 4685, 1096, 2481, 1048, 1006, 14008, 1112, 1160, 10507, 1133, 3819, 5628, 1049, 15346, 1058, 1006, 1011, 1209, 1076, 4219, 4078, 1364, 1009, 1094, 1871, 1048, 1160, 3212, 21332, 15316, 1124, 5298, 1054, 2666, 1206, 1026, 3439, 1271, 12705, 1015, 1513, 83, 6997, 1776, 2268, 9803, 1006, 5154, 20824, 1005, 1957, 1469, 1507, 1140, 1049, 2568, 1009, 1261, 1656, 1252, 1229, 1096, 11390, 1048, 2073, 14008, 1112, 4834, 1702, 5802, 1322, 1006, 13917, 1005, 3722, 1187, 1261, 1656, 1252, 1554, 1, 22502, 12155, 7216, 1325, 1094, 4960, 20824, 1048, 6865, 4327, 1068, 20683, 3256, 1322, 1006, 22926, 1299, 1298, 12252, 20725, 37, 11959, 1006, 19665, 3276, 1187, 4090, 1005, 4321, 1005, 1026, 2458, 6114, 1132, 1791, 4814, 1480, 37, 1257, 21567, 2083, 27452, 2045, 1073, 11711, 2561, 86, 1160, 1096, 1044, 4814, 11676, 2013, 1044, 2403, 15471, 1874, 1322, 21407, 20484, 1016, 1048, 1596, 22594, 1072, 9407, 1005, 1058, 28536, 1054, 1044, 24340, 1009, 1419, 3320, 4321, 1005, 2458, 2903, 1324, 1118, 2143, 6079, 1096, 1044, 14507, 1322, 1791, 1187, 20632, 1480, 2764, 1544, 1060, 4967, 15974, 4321, 7034, 1005, 2458, 6114, 3753, 1042, 9513, 1, 21694, 32, 2656, 1058, 26171, 20344, 18918, 32, 2034, 12225, 1327, 16135, 1005, 1006, 23781, 1009, 8727, 1096, 8976, 20, 3423, 2668, 2088, 1187, 12838, 1327, 13928, 1009, 2808, 20, 6195, 1043, 2143, 3066, 1009, 3970, 10260, 1206, 1657, 5593, 1026, 1235, 25807, 18795, 1118, 4106, 1009, 12225, 1005, 5758, 1006, 8924, 1124, 12225, 1299, 13445, 3204, 3066, 1096, 6255, 12647, 20, 4378, 10510, 1009, 4168, 1096, 20239, 37, 1257, 21567, 2083, 57, 2334, 2237, 10510, 1049, 4168, 1096, 1915, 17663, 1138, 12071, 1017, 18013, 31776, 1112, 1043, 1006, 3450, 1271, 3970, 10260, 1006, 23781, 1009, 8727, 12838, 1005, 1006, 9120, 1054, 2808, 2088, 1187, 12838, 7979, 20, 5126, 1318, 18271, 1048, 2909, 1853, 2071, 1044, 3066, 1009, 12225, 3630, 1206, 8924, 12225, 11041, 1054, 1472, 1009, 2071, 1668, 20, 1776, 5661, 1006, 7059, 1049, 12071, 1017, 1049, 4168, 1096, 1915, 17663, 1, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 5782, 4334, 1889, 1009, 6545, 1009, 13790, 2224, 1009, 12020, 1360, 35, 13822, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1404, 11232, 2307, 1068, 6811, 1006, 2042, 1049, 4963, 13854, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 3125, 7423, 5759, 1657, 1015, 2057, 3498, 2262, 3125, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 5782, 13308, 2052, 1999, 4406, 1254, 35, 13308, 2052, 22688, 8259, 35, 13308, 2052, 1999, 3851, 5402, 35, 13308, 19, 1246, 2124, 22, 3663, 26, 35, 13308, 15870, 2394, 22257, 35, 13308, 8724, 13486, 3064, 20275, 19788, 19499, 26209, 1175, 9036, 1246, 26927, 1342, 1009, 5180, 24718, 1246, 13308, 21262, 1138, 1269, 1137, 1013, 35, 13308, 2052, 1999, 3989, 2704, 35, 13308, 2052, 1999, 3612, 2704, 35, 13308, 2052, 24, 1246, 2124, 24, 1442, 26, 35, 13308, 19, 2124, 3612, 8053, 35, 13308, 2128, 2534, 28086, 35, 13308, 14154, 3471, 1034, 26661, 76, 5180, 83, 8687, 26209, 1175, 4762, 35, 13346, 1013, 5226, 1078, 1246, 13308, 9893, 21454, 35, 13308, 2052, 1999, 26, 2102, 35, 13308, 2052, 1999, 3502, 1254, 35, 13308, 2052, 1999, 3876, 12445, 35, 13308, 19, 1246, 13308, 19 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11198, 2502, 1009, 30791, 1006, 1429, 29345, 2097, 1132, 4344, 94, 1402, 1009, 17413, 5555, 7400, 1327, 11198, 2502, 1049, 8445, 75, 1049, 7867, 2556, 4142, 2270, 10634, 1298, 1178, 6248, 1188, 1048, 2034, 15721, 1160, 2569, 20104, 1049, 1238, 1048, 12860, 11878, 1374, 73, 2154, 1048, 1298, 11410, 1006, 1834, 1639, 29813, 1, 4714, 3748, 1044, 4902, 1005, 2449, 1048, 27045, 1407, 1024, 1006, 3484, 6672, 1068, 1006, 4960, 1986, 1026, 2859, 20, 19984, 32, 3713, 1566, 1058, 9285, 1118, 1048, 1726, 2624, 1299, 1225, 1044, 7482, 3179, 19241, 1068, 1094, 3271, 1048, 1299, 5404, 1009, 5574, 37, 13295, 2624, 5137, 2315, 1006, 1944, 9525, 1009, 1094, 3271, 8846, 1114, 1359, 23, 1060, 5913, 1009, 1094, 3271, 1206, 1060, 2596, 1357, 1428, 1264, 1206, 1687, 1058, 4792, 2275, 1138, 7856, 1096, 17644, 1160, 1657, 1118, 2880, 1206, 23339, 13629, 2565, 1309, 1318, 1118, 5061, 1009, 5556, 1160, 27888, 18, 1159, 17369, 2823, 1007, 3150, 1063, 5556, 1160, 27888, 1096, 2512, 2246, 15011, 1124, 3540, 1187, 1734, 1068, 5758, 1322, 1456, 6780, 31749, 5341, 10433, 4083, 2986, 12119, 1058, 29890, 1054, 3028, 12831, 18, 7939, 1005, 4101, 1175, 2374, 19187, 18924, 20340, 1206, 16613, 1175, 1068, 1048, 17506, 5431, 15639, 1305, 2598, 3754, 1094, 5133, 20, 1505, 2122, 22056, 1006, 3364, 1009, 3230, 17779, 12248, 1072, 1048, 4749, 2315, 2328, 1009, 3794, 26246, 1063, 5556, 1160, 27888, 1096, 12308, 1114, 12449, 17818, 2340, 4215, 1096, 4553, 2691, 6316, 5150, 14325, 4634, 2512, 10204, 3592, 6316, 7220, 4215, 6438, 1648, 1006, 14712, 1009, 2289, 1026, 1048, 1058, 1289, 1802, 9340, 1159, 4014, 1508, 5410, 1005, 13161, 18844, 1325, 4508, 1069, 1463, 6316, 28060, 1043, 1006, 5556, 1160, 27888, 20, 1063, 5556, 1160, 27888, 1096, 2512, 2246, 1325, 13742, 1043, 1006, 2706, 20, 12848, 17091, 1054, 2625, 1011, 3180, 7198, 20263, 18, 3408, 1005, 22761, 1054, 2625, 2706, 1916, 3735, 18, 25678, 14304, 1005, 1068, 2306, 1124, 1783, 3321, 1040, 1456, 17369, 1160, 13629, 1102, 8745, 1096, 1493, 31298, 1357, 2706, 1005, 4025, 20, 1063, 2706, 15283, 1026, 5762, 1160, 27888, 8625, 2270, 1505, 3018, 1132, 11172, 1009, 11833, 4548, 1054, 2693, 12721, 1309, 1224, 6723, 4629, 20, 8470, 1178, 18693, 1054, 2088, 3825, 1048, 1026, 2792, 1058, 7152, 1231, 1005, 1048, 1124, 3680, 1058, 2384, 5254, 1009, 6000, 21519, 33, 1054, 1734, 13705, 3592, 14766, 1009, 1744, 2526, 1693, 1178, 20338, 13104, 8886, 2706, 1225, 1224, 3486, 11267, 9080, 1322, 1006, 5556, 1160, 27888, 20, 1138, 1048, 1096, 13466, 1629, 3552, 2706, 1298, 1178, 6255, 1098, 2890, 18018, 1072, 6128, 20, 3316, 2706, 1298, 7556, 1048, 1132, 16448, 1068, 7726, 1044, 6560, 156, 1104, 1096, 13466, 1629, 33, 2143, 1298, 8316, 1989, 21571, 2296, 1131, 20, 22502, 12155, 23062, 3291, 1026, 9151, 1060, 3271, 1118, 2191, 1009, 3794, 4101, 2246, 5869, 20, 18792, 32, 1063, 32, 4800, 1419, 1026, 9151, 1009, 1094, 3271, 1054, 1235, 7939, 1106, 32, 1124, 12119, 1009, 1094, 3271, 1693, 1178, 7487, 1580, 2328, 1187, 4101, 25082, 1026, 9151, 1009, 1094, 3271, 1298, 1178, 7487, 1188, 2328, 1009, 1569, 11547, 1049, 2823, 1119, 32, 4800, 1419, 1026, 9151, 1009, 1094, 3271, 2328, 1009, 1224, 12831, 1257, 1063, 3484, 1006, 2237, 4960, 1096, 2083, 40, 32, 1124, 12119, 1009, 1094, 3271, 1693, 1178, 7487, 1580, 2328, 1187, 26246, 1, 22502, 12155, 15873, 32, 1175, 2861, 21581, 1114, 5033, 12, 26445, 3851, 33, 1006, 1011, 1209, 1076, 19224, 1371, 16396, 1044, 1049, 2143, 1175, 1233, 4375, 1048, 1124, 13564, 1058, 2409, 3982, 1857, 4224, 1040, 1094, 1807, 3722, 1175, 3735, 1006, 3722, 1096, 1807, 1026, 31055, 1006, 1011, 1209, 1076, 10609, 1175, 1138, 12511, 1096, 22836, 1159, 3894, 1175, 1063, 3894, 1058, 19224, 2328, 1060, 5033, 1114, 1871, 1009, 12705, 1175, 10770, 31462, 1026, 28704, 1175, 11092, 5892, 1048, 1006, 1011, 1209, 1076, 2155, 10572, 1184, 28694, 1159, 1616, 5341, 1945, 1132, 1261, 1656, 6574, 1009, 19756, 1206, 7920, 56, 2581, 45, 2393, 20, 5344, 1187, 4496, 1096, 1006, 25592, 14008, 1112, 37, 1175, 10507, 4975, 5232, 1094, 6947, 1049, 2568, 1175, 14338, 26158, 10507, 4975, 1094, 6947, 1049, 2568, 1175, 1160, 10507, 4975, 2073, 5628, 1049, 2568, 1257, 21567, 2083, 2202, 1006, 1011, 1209, 1076, 4219, 10572, 1184, 12606, 1049, 1048, 1026, 2540, 4576, 6178, 4834, 1044, 5802, 1114, 13917, 1005, 3722, 1187, 1261, 1656, 1252, 1554, 1138, 2568, 1009, 1261, 1656, 6574, 8981, 1026, 4241, 1009, 13564, 8684, 1550, 3589, 1048, 4224, 1040, 1094, 1807, 3722, 1094, 1322, 1006, 2924, 1233, 4375, 1048, 1058, 2409, 4830, 3735, 2237, 3722, 1058, 6293, 1493, 16137, 1006, 1011, 1209, 1076, 5503, 2339, 11198, 1077, 3894, 1114, 1871, 1009, 12705, 1015, 1513, 83, 1392, 1048, 31462, 1159, 1261, 1656, 1252, 1554, 1257, 1257, 1603, 1006, 1011, 1209, 1076, 1058, 5503, 21332, 1184, 12606, 1049, 1048, 1026, 2540, 4576, 3012, 10507, 2495, 5232, 1006, 6947, 1049, 2568, 1054, 1048, 1006, 1011, 1209, 1076, 1058, 10609, 20, 3782, 3012, 18580, 1054, 1261, 1656, 6574, 1184, 19949, 1206, 1184, 25928, 1566, 1048, 1006, 3894, 1048, 1096, 11198, 1196, 2909, 1712, 1049, 1048, 1058, 1006, 1011, 1209, 1076, 7211, 25582, 1184, 28496, 3423, 2668, 1058, 1006, 1011, 1209, 1076, 4219, 10572, 1054, 1044, 2386, 3630, 1049, 2540, 4576, 3012, 14338, 26158, 10507, 2495, 2089, 6982, 1049, 15346, 1159, 1026, 3439, 1048, 1124, 12705, 1015, 1513, 83, 1392, 2468, 1046, 1233, 4375, 1048, 1058, 2409, 1040, 2328, 1060, 26136, 1257, 36, 4685, 1096, 2481, 1048, 1006, 14008, 1112, 1160, 10507, 1133, 3819, 5628, 1049, 15346, 1058, 1006, 1011, 1209, 1076, 4219, 4078, 1364, 1009, 1094, 1871, 1048, 1160, 3212, 21332, 15316, 1124, 5298, 1054, 2666, 1206, 1026, 3439, 1271, 12705, 1015, 1513, 83, 6997, 1776, 2268, 9803, 1006, 5154, 20824, 1005, 1957, 1469, 1507, 1140, 1049, 2568, 1009, 1261, 1656, 1252, 1229, 1096, 11390, 1048, 2073, 14008, 1112, 4834, 1702, 5802, 1322, 1006, 13917, 1005, 3722, 1187, 1261, 1656, 1252, 1554, 1, 22502, 12155, 7216, 1325, 1094, 4960, 20824, 1048, 6865, 4327, 1068, 20683, 3256, 1322, 1006, 22926, 1299, 1298, 12252, 20725, 37, 11959, 1006, 19665, 3276, 1187, 4090, 1005, 4321, 1005, 1026, 2458, 6114, 1132, 1791, 4814, 1480, 37, 1257, 21567, 2083, 27452, 2045, 1073, 11711, 2561, 86, 1160, 1096, 1044, 4814, 11676, 2013, 1044, 2403, 15471, 1874, 1322, 21407, 20484, 1016, 1048, 1596, 22594, 1072, 9407, 1005, 1058, 28536, 1054, 1044, 24340, 1009, 1419, 3320, 4321, 1005, 2458, 2903, 1324, 1118, 2143, 6079, 1096, 1044, 14507, 1322, 1791, 1187, 20632, 1480, 2764, 1544, 1060, 4967, 15974, 4321, 7034, 1005, 2458, 6114, 3753, 1042, 9513, 1, 21694, 32, 2656, 1058, 26171, 20344, 18918, 32, 2034, 12225, 1327, 16135, 1005, 1006, 23781, 1009, 8727, 1096, 8976, 20, 3423, 2668, 2088, 1187, 12838, 1327, 13928, 1009, 2808, 20, 6195, 1043, 2143, 3066, 1009, 3970, 10260, 1206, 1657, 5593, 1026, 1235, 25807, 18795, 1118, 4106, 1009, 12225, 1005, 5758, 1006, 8924, 1124, 12225, 1299, 13445, 3204, 3066, 1096, 6255, 12647, 20, 4378, 10510, 1009, 4168, 1096, 20239, 37, 1257, 21567, 2083, 57, 2334, 2237, 10510, 1049, 4168, 1096, 1915, 17663, 1138, 12071, 1017, 18013, 31776, 1112, 1043, 1006, 3450, 1271, 3970, 10260, 1006, 23781, 1009, 8727, 12838, 1005, 1006, 9120, 1054, 2808, 2088, 1187, 12838, 7979, 20, 5126, 1318, 18271, 1048, 2909, 1853, 2071, 1044, 3066, 1009, 12225, 3630, 1206, 8924, 12225, 11041, 1054, 1472, 1009, 2071, 1668, 20, 1776, 5661, 1006, 7059, 1049, 12071, 1017, 1049, 4168, 1096, 1915, 17663, 1, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 5782, 4334, 1889, 1009, 6545, 1009, 13790, 2224, 1009, 12020, 1360, 35, 13822, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1404, 11232, 2307, 1068, 6811, 1006, 2042, 1049, 4963, 13854, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 3125, 7423, 5759, 1657, 1015, 2057, 3498, 2262, 3125, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 5782, 13308, 2052, 1999, 4406, 1254, 35, 13308, 2052, 22688, 8259, 35, 13308, 2052, 1999, 3851, 5402, 35, 13308, 19, 1246, 2124, 22, 3663, 26, 35, 13308, 15870, 2394, 22257, 35, 13308, 8724, 13486, 3064, 20275, 19788, 19499, 26209, 1175, 9036, 1246, 26927, 1342, 1009, 5180, 24718, 1246, 13308, 21262, 1138, 1269, 1137, 1013, 35, 13308, 2052, 1999, 3989, 2704, 35, 13308, 2052, 1999, 3612, 2704, 35, 13308, 2052, 24, 1246, 2124, 24, 1442, 26, 35, 13308, 19, 2124, 3612, 8053, 35, 13308, 2128, 2534, 28086, 35, 13308, 14154, 3471, 1034, 26661, 76, 5180, 83, 8687, 26209, 1175, 4762, 35, 13346, 1013, 5226, 1078, 1246, 13308, 9893, 21454, 35, 13308, 2052, 1999, 26, 2102, 35, 13308, 2052, 1999, 3502, 1254, 35, 13308, 2052, 1999, 3876, 12445, 35, 13308, 19, 1246, 13308, 19 ]

[ 8924, 2964, 31557, 1026, 2743, 1049, 2743, 1009, 1044, 2743, 1842, 1354, 5528, 72, 94, 2099, 80, 1068, 8546, 4688, 1060, 4415, 1009, 17518, 1009, 3480, 1009, 20092, 4322, 2268, 4215, 1160, 1096, 19293, 16466, 5232, 1132, 4688, 1049, 2743, 1842, 1354, 18, 2340, 1857, 1327, 16625, 1005, 1693, 1178, 8273, 1359, 2431, 86, 1402, 4964, 1472, 2668, 1096, 1853, 2071, 1006, 8510, 1005, 1132, 3480, 1049, 1842, 1354, 1068, 13681, 1124, 9007, 1005, 3480, 1009, 17518, 1049, 2743, 9414, 4081, 2481, 1096, 2837, 1044, 5675, 16494, 1068, 1026, 3284, 23996, 16421, 1049, 3609, 1005, 12866, 1664, 1132, 4688, 23996, 16421, 3062, 21993, 5675, 1298, 1261, 1094, 4415, 1009, 3649, 19600, 1048, 9760, 1034, 1132, 4688, 23996, 16421, 1072, 8286, 1009, 31189, 1054, 1472, 1009, 1866, 162, 9362, 1072, 7387, 1009, 2131, 23105, 42, 2840, 5521, 1299, 1318, 1298, 13681, 8273, 1026, 8982, 1005, 1026, 10197, 1009, 4688, 23996, 16421, 25371, 1049, 5675, 2751, 1049, 3609, 21696, 4169, 1096, 2071, 1094, 6855, 1206, 3023, 1009, 14656, 1048, 17230, 1043, 1006, 7350, 1005, 11181, 1009, 3284, 23996, 1794, 1411, 1159, 14347, 16729, 14187, 1206, 1387, 1046, 1684, 1336, 12577, 23557, 13151, 1693, 6180, 1043, 4688, 23996, 16421, 1009, 8982, 1005, 10197, 1054, 11181, 1005, 1693, 1058, 14368, 1233, 1224, 2068, 1009, 2326, 12008, 1305, 14183, 21302, 1490, 2370, 1679, 4688, 1009, 2743, 1049, 1842, 1354, 7542, 6781, 1006, 1853, 4081, 8294, 1187, 9088, 1005, 12156, 8745, 1049, 1235, 11797, 1005, 1298, 1178, 3654, 11542, 19766, 2625, 1068, 2808, 1006, 1184, 10021, 20, 1, 1505, 1048, 1124, 15653, 4753, 6762, 1734, 16224, 15, 1058, 25702, 1046, 1511, 2835, 1046, 27372, 1054, 3469, 9779, 1580, 1159, 3745, 4511, 1016, 27177, 1048, 1857, 1160, 5503, 1202, 1569, 17834, 1206, 24514, 1734, 8016, 1006, 4384, 7841, 27177, 7855, 24513, 1159, 1058, 1503, 3241, 3251, 6603, 15653, 4753, 2643, 7397, 1010, 1493, 22468, 1005, 1327, 9673, 1009, 8383, 1026, 17794, 1009, 1569, 17834, 1054, 1094, 31789, 1009, 2277, 1054, 3484, 1006, 1094, 27431, 5981, 1132, 3629, 1006, 4379, 23095, 14668, 8127, 2668, 1456, 11572, 1327, 1680, 6941, 1005, 1756, 1400, 1026, 1048, 3901, 1048, 1857, 1160, 26981, 4805, 3722, 1213, 18829, 1068, 1969, 1554, 6201, 6781, 1857, 2643, 1094, 1572, 1107, 12531, 4217, 1054, 1456, 11572, 1048, 1693, 30036, 1751, 1049, 5802, 1271, 1502, 7237, 11001, 18887, 3530, 6863, 12807, 1006, 7904, 1124, 15653, 4753, 1009, 1058, 25702, 3890, 1213, 18829, 1054, 6081, 9779, 7425, 1, 1482, 18508, 4290, 1026, 6449, 1195, 26009, 1043, 1006, 2531, 3474, 26295, 10141, 2550, 1009, 3813, 1060, 1063, 5529, 1160, 2449, 2266, 1322, 1428, 6449, 1299, 1325, 1058, 11430, 5790, 7855, 23471, 5753, 4972, 8008, 1068, 1048, 1503, 4172, 9602, 3527, 16015, 1, 10480, 1044, 2729, 8501, 2037, 1571, 8693, 12379, 12702, 1054, 1044, 9101, 10869, 1054, 14709, 1043, 7228, 1005, 6654, 10879, 1054, 20457, 21935, 1879, 13172, 1516, 1094, 1502, 83, 9323, 1009, 27922, 8734, 1009, 1023, 1334, 1080, 7721, 1075, 3899, 1005, 1026, 4885, 17547, 1188, 1271, 4656, 14102, 51, 11537, 21261, 11298, 1118, 1235, 2011, 22158, 1072, 3428, 1060, 12610, 1974, 2485, 1836, 17336, 1077, 1054, 18071, 1044, 2017, 3202, 1009, 20043, 1009, 3974, 7763, 1010, 1554, 22869, 7051, 1516, 5177, 1100, 1224, 5131, 17547, 1435, 1043, 1006, 5579, 5991, 2159, 1393, 1114, 18916, 1687, 3708, 1044, 8575, 9101, 28222, 1157, 1009, 1044, 1187, 8024, 1554, 5359, 1602, 2166, 1687, 1058, 9853, 1068, 15085, 22537, 1048, 1096, 1616, 6431, 16352, 21042, 83, 6618, 1068, 4384, 24366, 1456, 4101, 6189, 1010, 1072, 21514, 8385, 11600, 1687, 7351, 1094, 4005, 5626, 5493, 30716, 2975, 4942, 21261, 10029, 1048, 1299, 8919, 1054, 2930, 4674, 27881, 2855, 5424, 11537, 1086, 6606, 1068, 1419, 1026, 4148, 1049, 13172, 18, 1044, 2792, 1359, 86, 1075, 1147, 1043, 1044, 7939, 24998, 2855, 57, 2334, 2204, 1089, 2637, 17099, 3068, 12667, 1406, 9410, 9475, 10149, 1031, 12311, 1054, 4188, 1213, 21514, 1879, 4148, 675, 4131, 2855, 2959, 1160, 1096, 9242, 26719, 1128, 1032, 1508, 6659, 150, 3527, 1837, 16787, 2013, 8498, 17385, 1044, 9242, 14174, 1043, 1094, 3023, 1173, 23011, 3964, 8, 5044, 4101, 1009, 8693, 1058, 1238, 2300, 1029, 1412, 2855, 62, 20623, 37, 2654, 2598, 1026, 9819, 1089, 1996, 2855, 16352, 9766, 1068, 1184, 4236, 1049, 8024, 1100, 9781, 1157, 1124, 11277, 1879, 4148, 1058, 10780, 1079, 1068, 20591, 1224, 4005, 22574, 1068, 1044, 11739, 1035, 2855, 5552, 7443, 4929, 1294, 16623, 1058, 1264, 3012, 1261, 1702, 3609, 1176, 24336, 6126, 20765, 1009, 1048, 1264, 3012, 1178, 3778, 1068, 2837, 1044, 2017, 2446, 1009, 17946, 1140, 15007, 5131, 1009, 8693, 18948, 2855, 2584, 17946, 1140, 5565, 1140, 1118, 9242, 12610, 2389, 37, 3782, 3012, 5597, 18662, 1026, 3428, 15448, 4148, 13787, 2855, 2036, 3124, 20, 14458, 1048, 28823, 5758, 1493, 1043, 1224, 23451, 4942, 5393, 1092, 1802, 8, 5424, 11537, 12289, 10748, 1456, 4101, 1620, 6189, 1010, 1072, 8024, 29939, 5384, 3533, 8686, 3371, 1060, 2596, 1048, 6157, 2652, 2605, 19198, 4230, 15085, 1184, 1989, 5212, 8, 7371, 18887, 1132, 1791, 12434, 26168, 27272, 22672, 30191, 1124, 6847, 1049, 10869, 1005, 17814, 23961, 1068, 11140, 1235, 4957, 2338, 1238, 27540, 1079, 1043, 17462, 3894, 1213, 28427, 1005, 15299, 1006, 10246, 30057, 1569, 23977, 2553, 1202, 1068, 1094, 2360, 7621, 5339, 1026, 4125, 1271, 18070, 8693, 2793, 1752, 1472, 1184, 19082, 19063, 1043, 1124, 11277, 1009, 10869, 6343, 3475, 14757, 3229, 1072, 13172, 18, 23240, 2477, 1157, 22179, 1005, 3748, 25487, 1054, 1235, 6950, 1227, 27686, 4148, 1006, 14407, 1043, 1094, 5937, 1009, 29145, 1005, 19024, 6708, 1140, 1043, 1224, 27272, 1629, 15729, 1233, 7621, 8206, 1567, 6021, 19017, 1026, 12271, 5857, 6301, 22179, 1009, 8693, 17156, 1048, 1026, 10869, 3012, 3711, 1178, 3778, 1068, 2837, 1044, 2017, 2446, 1009, 17946, 2166, 1048, 1516, 1184, 9279, 1005, 16844, 10376, 1049, 1048, 2073, 2924, 1996, 1879, 4148, 1836, 1054, 675, 27125, 1506, 2855, 23995, 1096, 1094, 10617, 6619, 8523, 4942, 5393, 1092, 1802, 3713, 3711, 2521, 1094, 7621, 31932, 8, 29946, 4388, 1044, 11274, 20129, 1455, 3899, 1072, 16712, 2855, 132, 1094, 5274, 1049, 1622, 1060, 8274, 8206, 1406, 1973, 1687, 2855, 29913, 2315, 1927, 2593, 9793, 1157, 1132, 8654, 1049, 1048, 12950, 15007, 6654, 1072, 13172, 1516, 30301, 1566, 1048, 8693, 1005, 1456, 10309, 7319, 1412, 1043, 1235, 3189, 2338, 8575, 1049, 21514, 1009, 10869, 5747, 3659, 1184, 18169, 1044, 7196, 1049, 2017, 19890, 1048, 1857, 7444, 6888, 1072, 3428, 1060, 6644, 6592, 8693, 6192, 1068, 1026, 7659, 10602, 9342, 1224, 5131, 17547, 1435, 1009, 5579, 18, 1687, 3855, 1048, 1616, 1516, 1657, 1026, 8368, 19379, 11346, 1493, 1184, 1006, 4749, 1870, 1493, 1184, 1068, 5872, 1611, 1687, 1836, 17701, 1068, 1026, 4135, 4475, 1, 4638, 1094, 4095, 1009, 3146, 1365, 1006, 10775, 15621, 1060, 15736, 79, 1005, 17883, 4704, 1051, 12810, 5359, 1035, 67, 1759, 1771, 1170, 1005, 15658, 2106, 1680, 13132, 1435, 1213, 13605, 19857, 1852, 5026, 1044, 6079, 4319, 1026, 8349, 20455, 1032, 3382, 15621, 1060, 15736, 79, 1383, 1118, 11641, 1026, 28015, 2566, 1009, 25811, 11780, 1005, 2804, 1066, 5619, 2784, 17883, 4704, 1051, 12810, 21762, 6480, 15621, 1060, 15736, 79, 67, 3670, 3100, 1026, 1807, 8485, 20372, 1026, 2792, 1009, 1664, 1132, 5870, 4354, 3869, 2212, 11160, 1017, 1005, 1448, 21072, 1009, 21229, 19629, 3808, 7315, 1034, 1213, 10683, 1060, 1082, 2801, 28939, 11094, 3374, 1096, 22949, 9464, 1005, 2092, 9594, 6054, 1006, 5865, 12810, 21762, 6221, 17883, 4704, 1051, 67, 2995, 3982, 7899, 7899, 8843, 5113, 15736, 1803, 10029, 1048, 1299, 1096, 1026, 2792, 3385, 1511, 1058, 5632, 1009, 25635, 1299, 3048, 1325, 1054, 9183, 19646, 17495, 1327, 5368, 3368, 1317, 1166, 1118, 1664, 12047, 17628, 4392, 1160, 1693, 3048, 3659, 1009, 5768, 12810, 21762, 6773, 15621, 1060, 15736, 79, 67, 9232, 4671, 8214, 1324, 1299, 1465, 3645, 1493, 7203, 6216, 1096, 1657, 1143, 24524, 1664, 1132, 11703, 1005, 2712, 3342, 1159, 2742, 6702, 1299, 4082, 1235, 1557, 1043, 7093, 1005, 11274, 3670, 1762, 1147, 9762, 2835, 7332, 1048, 1026, 1784, 1160, 1298, 13791, 12810, 3196, 8267, 17883, 4704, 1051, 67, 9232, 1309, 19304, 8485, 20372, 1299, 3449, 13101, 10229, 1124, 2880, 1693, 12866, 17981, 1273, 1005, 1132, 5138, 1693, 1178, 7148, 1402, 4093, 8600, 1005, 15581, 18, 4859, 17495, 1327, 28410, 6702, 1569, 9762, 1327, 7325, 1657, 1068, 1026, 9616, 12810, 3196, 11773, 15621, 1060, 15736, 79, 67, 3996, 71, 7, 57, 4514, 10027, 1327, 22813, 1273, 1224, 6216, 1096, 13178, 1526, 1005, 28308, 3438, 9455, 23900, 3417, 1027, 1456, 17495, 22954, 1402, 18698, 18153, 1007, 1175, 1022, 9939, 1233, 8329, 1049, 26886, 85, 9455, 1762, 8806, 20827, 1027, 1213, 4902, 1009, 1557, 1005, 3182, 12810, 3196, 15182, 17883, 4704, 1051, 67, 1797, 2564, 8485, 20372, 1160, 2374, 2072, 6518, 1054, 1058, 11474, 1024, 4073, 1569, 10027, 1160, 2643, 18745, 1456, 12724, 10369, 1044, 8048, 1183, 19646, 17495, 1693, 1178, 22813, 1229, 1309, 1620, 1327, 22593, 7803, 1026, 3152, 6819, 10968, 1026, 9027, 1160, 1966, 1026, 1048, 18186, 1508, 12810, 27438, 67, 1467, 4095, 1195, 9256, 1140, 1005, 1026, 9291, 1160, 1325, 5573, 4073, 5300, 1132, 3056, 5169, 23663, 6601, 2384, 2315, 19304, 22293, 4803, 5669, 1439, 1132, 22276, 1118, 1224, 1807, 5787, 5472, 1508, 3341, 2344, 4704, 1051, 1005, 15621, 1060, 15736, 1803, 2156, 21699, 1048, 2598, 1558, 3847, 20, 1, 2760, 4714, 4619, 2837, 1044, 7387, 1119, 14929, 1068, 7340, 1044, 5846, 7504, 1802, 3885, 4647, 2071, 4697, 6855, 2246, 4647, 3177, 8557, 1233, 6073, 1009, 30874, 1048, 1006, 10259, 3690, 7393, 1048, 12054, 1026, 7387, 28232, 6822, 1026, 1313, 20343, 2705, 81, 1919, 1048, 1264, 1096, 3010, 1636, 2270, 53, 1048, 7215, 3074, 3748, 1009, 8857, 37, 2240, 11693, 3469, 1048, 1826, 2115, 3569, 1043, 1026, 3266, 7387, 1119, 14929, 1898, 675, 675, 675, 20395, 1048, 1225, 2971, 28, 2615, 1273, 1305, 3161, 1005, 3819, 2446, 2674, 1697, 3161, 1004, 1269, 18361, 1095, 72, 17918, 2083, 13356, 11299, 11364, 11299, 27606, 6983, 675, 675, 675, 4125, 1110, 13356, 5217, 17055, 8799, 1965, 1095, 26291, 13398, 6983, 675, 675, 675, 7387, 1246, 2146, 27607, 5528, 1965, 2441, 78, 1406, 10706, 5900, 15, 3093, 5974, 89, 1009, 6115, 16150, 1492, 1083, 1118, 2097, 1308, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 2971, 7224, 3093, 14534, 1544, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 13822, 3093, 8155, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 18366, 3093, 9605, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 18366, 3093, 7129, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 18366, 3093, 8671, 5, 675, 675, 675, 1015, 15836, 25877, 1246, 13398, 3677, 15836, 1071, 2100, 7130, 675, 675, 675, 1972, 1751, 1054, 1015, 15836, 25877, 1898, 675, 675, 675, 675, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 72, 1406, 18128, 29016, 1133, 10501, 675, 675, 675, 675, 675, 675, 675, 1068, 20363, 1054, 17909, 29016, 1133, 6983, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 73, 1406, 20363, 1308, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 72, 1406, 18366, 3093, 1852, 1060, 4024, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 13822, 3093, 2446, 1009, 6115, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 13822, 3093, 3161, 1009, 6115, 5, 675, 675, 675, 18832, 7387, 16146, 3275, 1785, 1077, 1026, 7387, 5, 11183, 22666, 1246, 1004, 1269, 18361, 1095, 72, 17918, 5458, 2002, 17119, 1246, 8868, 8508, 22917, 8799, 1965, 1095, 2441, 5008, 84, 1997, 1208, 1593, 1227, 20, 26855, 7130, 57, 2657, 1246, 2387, 4124, 3677, 14945, 2794, 14945, 20, 2162, 26487, 9533, 2387, 4124, 3677, 2657, 6494, 2510, 13312, 2657, 10076, 1917, 10103, 13, 2820, 1799, 4325, 7375, 13312, 2657, 9519, 10524, 2703, 1071, 7469, 57, 2657, 20, 20274, 1164, 1071, 4387, 2917, 31008, 17119, 1349, 2441, 1404, 3218, 28, 3162, 2708, 1999, 2708, 24, 1406, 1487, 5463, 1308, 4416, 14499, 2441, 2002, 17119, 9966, 7130, 74, 2585, 12645, 88, 1246, 1823, 13891, 4411, 92, 31132, 10183, 3531, 1308, 6986, 2441, 27531, 12943, 2536, 1858, 13312, 2657, 3375, 29290, 5458, 2190, 2134, 14850, 1048, 1006, 4380, 1325, 1072, 5203, 1049, 7387, 1119, 14929, 1048, 1299, 1325, 4619, 7340, 6354, 1826, 2088, 3171, 1054, 4957, 1005, 1569, 6286, 5302, 21516, 14353, 2184, 1068, 1026, 12380, 1119, 14929, 32, 1463, 6316, 4874, 1049, 1235, 2326 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8924, 2964, 31557, 1026, 2743, 1049, 2743, 1009, 1044, 2743, 1842, 1354, 5528, 72, 94, 2099, 80, 1068, 8546, 4688, 1060, 4415, 1009, 17518, 1009, 3480, 1009, 20092, 4322, 2268, 4215, 1160, 1096, 19293, 16466, 5232, 1132, 4688, 1049, 2743, 1842, 1354, 18, 2340, 1857, 1327, 16625, 1005, 1693, 1178, 8273, 1359, 2431, 86, 1402, 4964, 1472, 2668, 1096, 1853, 2071, 1006, 8510, 1005, 1132, 3480, 1049, 1842, 1354, 1068, 13681, 1124, 9007, 1005, 3480, 1009, 17518, 1049, 2743, 9414, 4081, 2481, 1096, 2837, 1044, 5675, 16494, 1068, 1026, 3284, 23996, 16421, 1049, 3609, 1005, 12866, 1664, 1132, 4688, 23996, 16421, 3062, 21993, 5675, 1298, 1261, 1094, 4415, 1009, 3649, 19600, 1048, 9760, 1034, 1132, 4688, 23996, 16421, 1072, 8286, 1009, 31189, 1054, 1472, 1009, 1866, 162, 9362, 1072, 7387, 1009, 2131, 23105, 42, 2840, 5521, 1299, 1318, 1298, 13681, 8273, 1026, 8982, 1005, 1026, 10197, 1009, 4688, 23996, 16421, 25371, 1049, 5675, 2751, 1049, 3609, 21696, 4169, 1096, 2071, 1094, 6855, 1206, 3023, 1009, 14656, 1048, 17230, 1043, 1006, 7350, 1005, 11181, 1009, 3284, 23996, 1794, 1411, 1159, 14347, 16729, 14187, 1206, 1387, 1046, 1684, 1336, 12577, 23557, 13151, 1693, 6180, 1043, 4688, 23996, 16421, 1009, 8982, 1005, 10197, 1054, 11181, 1005, 1693, 1058, 14368, 1233, 1224, 2068, 1009, 2326, 12008, 1305, 14183, 21302, 1490, 2370, 1679, 4688, 1009, 2743, 1049, 1842, 1354, 7542, 6781, 1006, 1853, 4081, 8294, 1187, 9088, 1005, 12156, 8745, 1049, 1235, 11797, 1005, 1298, 1178, 3654, 11542, 19766, 2625, 1068, 2808, 1006, 1184, 10021, 20, 1, 1505, 1048, 1124, 15653, 4753, 6762, 1734, 16224, 15, 1058, 25702, 1046, 1511, 2835, 1046, 27372, 1054, 3469, 9779, 1580, 1159, 3745, 4511, 1016, 27177, 1048, 1857, 1160, 5503, 1202, 1569, 17834, 1206, 24514, 1734, 8016, 1006, 4384, 7841, 27177, 7855, 24513, 1159, 1058, 1503, 3241, 3251, 6603, 15653, 4753, 2643, 7397, 1010, 1493, 22468, 1005, 1327, 9673, 1009, 8383, 1026, 17794, 1009, 1569, 17834, 1054, 1094, 31789, 1009, 2277, 1054, 3484, 1006, 1094, 27431, 5981, 1132, 3629, 1006, 4379, 23095, 14668, 8127, 2668, 1456, 11572, 1327, 1680, 6941, 1005, 1756, 1400, 1026, 1048, 3901, 1048, 1857, 1160, 26981, 4805, 3722, 1213, 18829, 1068, 1969, 1554, 6201, 6781, 1857, 2643, 1094, 1572, 1107, 12531, 4217, 1054, 1456, 11572, 1048, 1693, 30036, 1751, 1049, 5802, 1271, 1502, 7237, 11001, 18887, 3530, 6863, 12807, 1006, 7904, 1124, 15653, 4753, 1009, 1058, 25702, 3890, 1213, 18829, 1054, 6081, 9779, 7425, 1, 1482, 18508, 4290, 1026, 6449, 1195, 26009, 1043, 1006, 2531, 3474, 26295, 10141, 2550, 1009, 3813, 1060, 1063, 5529, 1160, 2449, 2266, 1322, 1428, 6449, 1299, 1325, 1058, 11430, 5790, 7855, 23471, 5753, 4972, 8008, 1068, 1048, 1503, 4172, 9602, 3527, 16015, 1, 10480, 1044, 2729, 8501, 2037, 1571, 8693, 12379, 12702, 1054, 1044, 9101, 10869, 1054, 14709, 1043, 7228, 1005, 6654, 10879, 1054, 20457, 21935, 1879, 13172, 1516, 1094, 1502, 83, 9323, 1009, 27922, 8734, 1009, 1023, 1334, 1080, 7721, 1075, 3899, 1005, 1026, 4885, 17547, 1188, 1271, 4656, 14102, 51, 11537, 21261, 11298, 1118, 1235, 2011, 22158, 1072, 3428, 1060, 12610, 1974, 2485, 1836, 17336, 1077, 1054, 18071, 1044, 2017, 3202, 1009, 20043, 1009, 3974, 7763, 1010, 1554, 22869, 7051, 1516, 5177, 1100, 1224, 5131, 17547, 1435, 1043, 1006, 5579, 5991, 2159, 1393, 1114, 18916, 1687, 3708, 1044, 8575, 9101, 28222, 1157, 1009, 1044, 1187, 8024, 1554, 5359, 1602, 2166, 1687, 1058, 9853, 1068, 15085, 22537, 1048, 1096, 1616, 6431, 16352, 21042, 83, 6618, 1068, 4384, 24366, 1456, 4101, 6189, 1010, 1072, 21514, 8385, 11600, 1687, 7351, 1094, 4005, 5626, 5493, 30716, 2975, 4942, 21261, 10029, 1048, 1299, 8919, 1054, 2930, 4674, 27881, 2855, 5424, 11537, 1086, 6606, 1068, 1419, 1026, 4148, 1049, 13172, 18, 1044, 2792, 1359, 86, 1075, 1147, 1043, 1044, 7939, 24998, 2855, 57, 2334, 2204, 1089, 2637, 17099, 3068, 12667, 1406, 9410, 9475, 10149, 1031, 12311, 1054, 4188, 1213, 21514, 1879, 4148, 675, 4131, 2855, 2959, 1160, 1096, 9242, 26719, 1128, 1032, 1508, 6659, 150, 3527, 1837, 16787, 2013, 8498, 17385, 1044, 9242, 14174, 1043, 1094, 3023, 1173, 23011, 3964, 8, 5044, 4101, 1009, 8693, 1058, 1238, 2300, 1029, 1412, 2855, 62, 20623, 37, 2654, 2598, 1026, 9819, 1089, 1996, 2855, 16352, 9766, 1068, 1184, 4236, 1049, 8024, 1100, 9781, 1157, 1124, 11277, 1879, 4148, 1058, 10780, 1079, 1068, 20591, 1224, 4005, 22574, 1068, 1044, 11739, 1035, 2855, 5552, 7443, 4929, 1294, 16623, 1058, 1264, 3012, 1261, 1702, 3609, 1176, 24336, 6126, 20765, 1009, 1048, 1264, 3012, 1178, 3778, 1068, 2837, 1044, 2017, 2446, 1009, 17946, 1140, 15007, 5131, 1009, 8693, 18948, 2855, 2584, 17946, 1140, 5565, 1140, 1118, 9242, 12610, 2389, 37, 3782, 3012, 5597, 18662, 1026, 3428, 15448, 4148, 13787, 2855, 2036, 3124, 20, 14458, 1048, 28823, 5758, 1493, 1043, 1224, 23451, 4942, 5393, 1092, 1802, 8, 5424, 11537, 12289, 10748, 1456, 4101, 1620, 6189, 1010, 1072, 8024, 29939, 5384, 3533, 8686, 3371, 1060, 2596, 1048, 6157, 2652, 2605, 19198, 4230, 15085, 1184, 1989, 5212, 8, 7371, 18887, 1132, 1791, 12434, 26168, 27272, 22672, 30191, 1124, 6847, 1049, 10869, 1005, 17814, 23961, 1068, 11140, 1235, 4957, 2338, 1238, 27540, 1079, 1043, 17462, 3894, 1213, 28427, 1005, 15299, 1006, 10246, 30057, 1569, 23977, 2553, 1202, 1068, 1094, 2360, 7621, 5339, 1026, 4125, 1271, 18070, 8693, 2793, 1752, 1472, 1184, 19082, 19063, 1043, 1124, 11277, 1009, 10869, 6343, 3475, 14757, 3229, 1072, 13172, 18, 23240, 2477, 1157, 22179, 1005, 3748, 25487, 1054, 1235, 6950, 1227, 27686, 4148, 1006, 14407, 1043, 1094, 5937, 1009, 29145, 1005, 19024, 6708, 1140, 1043, 1224, 27272, 1629, 15729, 1233, 7621, 8206, 1567, 6021, 19017, 1026, 12271, 5857, 6301, 22179, 1009, 8693, 17156, 1048, 1026, 10869, 3012, 3711, 1178, 3778, 1068, 2837, 1044, 2017, 2446, 1009, 17946, 2166, 1048, 1516, 1184, 9279, 1005, 16844, 10376, 1049, 1048, 2073, 2924, 1996, 1879, 4148, 1836, 1054, 675, 27125, 1506, 2855, 23995, 1096, 1094, 10617, 6619, 8523, 4942, 5393, 1092, 1802, 3713, 3711, 2521, 1094, 7621, 31932, 8, 29946, 4388, 1044, 11274, 20129, 1455, 3899, 1072, 16712, 2855, 132, 1094, 5274, 1049, 1622, 1060, 8274, 8206, 1406, 1973, 1687, 2855, 29913, 2315, 1927, 2593, 9793, 1157, 1132, 8654, 1049, 1048, 12950, 15007, 6654, 1072, 13172, 1516, 30301, 1566, 1048, 8693, 1005, 1456, 10309, 7319, 1412, 1043, 1235, 3189, 2338, 8575, 1049, 21514, 1009, 10869, 5747, 3659, 1184, 18169, 1044, 7196, 1049, 2017, 19890, 1048, 1857, 7444, 6888, 1072, 3428, 1060, 6644, 6592, 8693, 6192, 1068, 1026, 7659, 10602, 9342, 1224, 5131, 17547, 1435, 1009, 5579, 18, 1687, 3855, 1048, 1616, 1516, 1657, 1026, 8368, 19379, 11346, 1493, 1184, 1006, 4749, 1870, 1493, 1184, 1068, 5872, 1611, 1687, 1836, 17701, 1068, 1026, 4135, 4475, 1, 4638, 1094, 4095, 1009, 3146, 1365, 1006, 10775, 15621, 1060, 15736, 79, 1005, 17883, 4704, 1051, 12810, 5359, 1035, 67, 1759, 1771, 1170, 1005, 15658, 2106, 1680, 13132, 1435, 1213, 13605, 19857, 1852, 5026, 1044, 6079, 4319, 1026, 8349, 20455, 1032, 3382, 15621, 1060, 15736, 79, 1383, 1118, 11641, 1026, 28015, 2566, 1009, 25811, 11780, 1005, 2804, 1066, 5619, 2784, 17883, 4704, 1051, 12810, 21762, 6480, 15621, 1060, 15736, 79, 67, 3670, 3100, 1026, 1807, 8485, 20372, 1026, 2792, 1009, 1664, 1132, 5870, 4354, 3869, 2212, 11160, 1017, 1005, 1448, 21072, 1009, 21229, 19629, 3808, 7315, 1034, 1213, 10683, 1060, 1082, 2801, 28939, 11094, 3374, 1096, 22949, 9464, 1005, 2092, 9594, 6054, 1006, 5865, 12810, 21762, 6221, 17883, 4704, 1051, 67, 2995, 3982, 7899, 7899, 8843, 5113, 15736, 1803, 10029, 1048, 1299, 1096, 1026, 2792, 3385, 1511, 1058, 5632, 1009, 25635, 1299, 3048, 1325, 1054, 9183, 19646, 17495, 1327, 5368, 3368, 1317, 1166, 1118, 1664, 12047, 17628, 4392, 1160, 1693, 3048, 3659, 1009, 5768, 12810, 21762, 6773, 15621, 1060, 15736, 79, 67, 9232, 4671, 8214, 1324, 1299, 1465, 3645, 1493, 7203, 6216, 1096, 1657, 1143, 24524, 1664, 1132, 11703, 1005, 2712, 3342, 1159, 2742, 6702, 1299, 4082, 1235, 1557, 1043, 7093, 1005, 11274, 3670, 1762, 1147, 9762, 2835, 7332, 1048, 1026, 1784, 1160, 1298, 13791, 12810, 3196, 8267, 17883, 4704, 1051, 67, 9232, 1309, 19304, 8485, 20372, 1299, 3449, 13101, 10229, 1124, 2880, 1693, 12866, 17981, 1273, 1005, 1132, 5138, 1693, 1178, 7148, 1402, 4093, 8600, 1005, 15581, 18, 4859, 17495, 1327, 28410, 6702, 1569, 9762, 1327, 7325, 1657, 1068, 1026, 9616, 12810, 3196, 11773, 15621, 1060, 15736, 79, 67, 3996, 71, 7, 57, 4514, 10027, 1327, 22813, 1273, 1224, 6216, 1096, 13178, 1526, 1005, 28308, 3438, 9455, 23900, 3417, 1027, 1456, 17495, 22954, 1402, 18698, 18153, 1007, 1175, 1022, 9939, 1233, 8329, 1049, 26886, 85, 9455, 1762, 8806, 20827, 1027, 1213, 4902, 1009, 1557, 1005, 3182, 12810, 3196, 15182, 17883, 4704, 1051, 67, 1797, 2564, 8485, 20372, 1160, 2374, 2072, 6518, 1054, 1058, 11474, 1024, 4073, 1569, 10027, 1160, 2643, 18745, 1456, 12724, 10369, 1044, 8048, 1183, 19646, 17495, 1693, 1178, 22813, 1229, 1309, 1620, 1327, 22593, 7803, 1026, 3152, 6819, 10968, 1026, 9027, 1160, 1966, 1026, 1048, 18186, 1508, 12810, 27438, 67, 1467, 4095, 1195, 9256, 1140, 1005, 1026, 9291, 1160, 1325, 5573, 4073, 5300, 1132, 3056, 5169, 23663, 6601, 2384, 2315, 19304, 22293, 4803, 5669, 1439, 1132, 22276, 1118, 1224, 1807, 5787, 5472, 1508, 3341, 2344, 4704, 1051, 1005, 15621, 1060, 15736, 1803, 2156, 21699, 1048, 2598, 1558, 3847, 20, 1, 2760, 4714, 4619, 2837, 1044, 7387, 1119, 14929, 1068, 7340, 1044, 5846, 7504, 1802, 3885, 4647, 2071, 4697, 6855, 2246, 4647, 3177, 8557, 1233, 6073, 1009, 30874, 1048, 1006, 10259, 3690, 7393, 1048, 12054, 1026, 7387, 28232, 6822, 1026, 1313, 20343, 2705, 81, 1919, 1048, 1264, 1096, 3010, 1636, 2270, 53, 1048, 7215, 3074, 3748, 1009, 8857, 37, 2240, 11693, 3469, 1048, 1826, 2115, 3569, 1043, 1026, 3266, 7387, 1119, 14929, 1898, 675, 675, 675, 20395, 1048, 1225, 2971, 28, 2615, 1273, 1305, 3161, 1005, 3819, 2446, 2674, 1697, 3161, 1004, 1269, 18361, 1095, 72, 17918, 2083, 13356, 11299, 11364, 11299, 27606, 6983, 675, 675, 675, 4125, 1110, 13356, 5217, 17055, 8799, 1965, 1095, 26291, 13398, 6983, 675, 675, 675, 7387, 1246, 2146, 27607, 5528, 1965, 2441, 78, 1406, 10706, 5900, 15, 3093, 5974, 89, 1009, 6115, 16150, 1492, 1083, 1118, 2097, 1308, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 2971, 7224, 3093, 14534, 1544, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 13822, 3093, 8155, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 18366, 3093, 9605, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 18366, 3093, 7129, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 18366, 3093, 8671, 5, 675, 675, 675, 1015, 15836, 25877, 1246, 13398, 3677, 15836, 1071, 2100, 7130, 675, 675, 675, 1972, 1751, 1054, 1015, 15836, 25877, 1898, 675, 675, 675, 675, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 72, 1406, 18128, 29016, 1133, 10501, 675, 675, 675, 675, 675, 675, 675, 1068, 20363, 1054, 17909, 29016, 1133, 6983, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 73, 1406, 20363, 1308, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 72, 1406, 18366, 3093, 1852, 1060, 4024, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 13822, 3093, 2446, 1009, 6115, 5, 675, 675, 675, 7387, 17999, 2146, 27607, 5528, 1965, 2441, 78, 1406, 13822, 3093, 3161, 1009, 6115, 5, 675, 675, 675, 18832, 7387, 16146, 3275, 1785, 1077, 1026, 7387, 5, 11183, 22666, 1246, 1004, 1269, 18361, 1095, 72, 17918, 5458, 2002, 17119, 1246, 8868, 8508, 22917, 8799, 1965, 1095, 2441, 5008, 84, 1997, 1208, 1593, 1227, 20, 26855, 7130, 57, 2657, 1246, 2387, 4124, 3677, 14945, 2794, 14945, 20, 2162, 26487, 9533, 2387, 4124, 3677, 2657, 6494, 2510, 13312, 2657, 10076, 1917, 10103, 13, 2820, 1799, 4325, 7375, 13312, 2657, 9519, 10524, 2703, 1071, 7469, 57, 2657, 20, 20274, 1164, 1071, 4387, 2917, 31008, 17119, 1349, 2441, 1404, 3218, 28, 3162, 2708, 1999, 2708, 24, 1406, 1487, 5463, 1308, 4416, 14499, 2441, 2002, 17119, 9966, 7130, 74, 2585, 12645, 88, 1246, 1823, 13891, 4411, 92, 31132, 10183, 3531, 1308, 6986, 2441, 27531, 12943, 2536, 1858, 13312, 2657, 3375, 29290, 5458, 2190, 2134, 14850, 1048, 1006, 4380, 1325, 1072, 5203, 1049, 7387, 1119, 14929, 1048, 1299, 1325, 4619, 7340, 6354, 1826, 2088, 3171, 1054, 4957, 1005, 1569, 6286, 5302, 21516, 14353, 2184, 1068, 1026, 12380, 1119, 14929, 32, 1463, 6316, 4874, 1049, 1235, 2326 ]

[ 1118, 1554, 3204, 12995, 1009, 9458, 1058, 5937, 1043, 1124, 7875, 28306, 1060, 5913, 1005, 2947, 7552, 1294, 1118, 1229, 14140, 1044, 1215, 1606, 1337, 1048, 17217, 1090, 1145, 1132, 1118, 1010, 1005, 1132, 1381, 8616, 4029, 20, 1084, 1511, 1668, 1215, 1606, 1337, 1009, 9458, 31786, 1096, 24025, 1213, 14812, 1264, 10450, 2154, 8264, 1011, 1753, 1010, 675, 1533, 4556, 1096, 1048, 1299, 1160, 1298, 8924, 1026, 4466, 3888, 1187, 1456, 1118, 1554, 2605, 1058, 1456, 1118, 1010, 3056, 18295, 1215, 1606, 3607, 1299, 23704, 7338, 3312, 22302, 1009, 2922, 1213, 1235, 4466, 3462, 1005, 4863, 7550, 1663, 3056, 1118, 1010, 7314, 37, 1691, 1526, 1077, 10113, 2282, 1334, 11106, 8869, 1060, 12734, 1078, 2189, 15, 1009, 7636, 2283, 2140, 10292, 1206, 7875, 28306, 1060, 5913, 1048, 6326, 1215, 1606, 79, 17321, 1005, 4910, 9386, 14313, 10298, 1011, 1753, 1010, 1005, 1249, 2447, 1565, 12931, 1116, 7, 5919, 3136, 12734, 1078, 1787, 13018, 1096, 1006, 5773, 1068, 4379, 1048, 1456, 1118, 1010, 25847, 1215, 1606, 1402, 6762, 4029, 7, 1308, 3026, 1058, 5632, 1009, 6233, 1132, 1118, 1010, 11706, 1065, 2585, 1044, 12734, 1078, 4559, 1305, 9926, 150, 2934, 1043, 13556, 1963, 1031, 26692, 14278, 1106, 46, 2722, 1206, 4473, 27099, 19200, 94, 79, 2137, 1188, 15, 1096, 1235, 1853, 5399, 20, 9340, 12734, 1078, 9855, 1043, 2597, 6295, 26580, 14895, 1160, 1298, 4659, 1054, 1456, 1118, 1010, 1005, 31728, 5060, 162, 17321, 5653, 1010, 1215, 1606, 1402, 6510, 1009, 13556, 1963, 1031, 26692, 1605, 13556, 1963, 1031, 26692, 1096, 1044, 2201, 25107, 1009, 7042, 1043, 1006, 5913, 3743, 1041, 1301, 3039, 1048, 1381, 17426, 1160, 1657, 1054, 1118, 1010, 11706, 1065, 2585, 1011, 1753, 1010, 1005, 1249, 13235, 1309, 1318, 1096, 1044, 9940, 16797, 1091, 1060, 1251, 1692, 1071, 158, 13863, 5413, 1054, 15427, 1009, 1251, 1692, 15651, 1305, 8596, 7, 1565, 1006, 7202, 1060, 17596, 1309, 1318, 31572, 10936, 1294, 1118, 1010, 1068, 14165, 1446, 2693, 1006, 1118, 73, 1461, 1048, 1132, 1325, 30054, 1435, 7655, 1160, 7009, 1006, 5133, 13556, 1395, 8898, 3144, 1138, 13556, 1963, 1031, 26692, 1096, 6255, 1160, 1345, 1170, 1343, 2170, 1009, 10531, 3134, 6847, 25187, 1708, 1005, 25187, 1708, 1048, 12807, 1006, 6233, 1006, 28980, 5068, 1005, 1006, 30521, 22913, 31643, 1872, 1060, 1251, 1692, 1327, 15070, 1394, 1565, 2013, 3711, 1044, 8112, 1348, 1009, 7042, 1043, 1006, 5913, 1068, 5224, 1043, 5913, 26497, 8225, 5913, 1043, 4099, 3029, 1233, 1251, 1692, 2555, 1769, 7899, 2364, 4803, 30926, 1184, 4249, 1072, 3460, 3195, 12621, 24510, 1009, 1118, 1010, 1048, 3911, 1046, 1006, 11353, 1049, 2863, 1005, 6777, 1046, 1132, 1118, 1010, 1215, 1606, 3607, 1305, 12979, 1024, 1006, 5913, 3021, 1739, 4618, 1068, 1118, 1010, 11706, 1065, 24086, 12734, 1078, 9855, 1009, 13556, 1963, 1031, 26692, 24521, 13055, 3490, 11562, 2238, 7070, 1021, 25769, 1507, 1253, 1101, 11, 1106, 9671, 1142, 5624, 1188, 19593, 10, 3939, 14079, 2701, 1096, 1044, 18795, 7910, 1005, 1044, 21504, 3498, 17958, 1118, 1044, 7065, 20, 1587, 1532, 5325, 7, 2858, 1187, 3460, 15427, 1068, 1118, 1010, 11706, 1065, 1166, 1005, 1011, 1753, 1229, 3134, 13556, 1963, 1031, 26692, 1009, 3596, 8202, 8387, 9395, 1005, 11703, 8006, 28911, 1526, 1054, 1094, 13396, 8133, 1236, 7743, 1048, 5325, 1159, 1044, 1030, 6853, 3021, 1078, 1208, 24222, 1044, 5804, 1009, 25372, 1005, 6181, 2059, 5193, 1054, 2220, 1026, 7939, 11138, 13869, 1435, 1006, 2236, 1187, 4101, 1565, 13067, 2745, 1298, 8616, 1044, 2574, 1080, 2300, 1377, 2538, 1281, 1048, 1264, 2374, 5560, 9194, 13578, 1996, 1009, 10048, 1044, 28661, 1148, 1206, 25383, 11457, 1118, 6544, 6788, 30262, 1044, 5203, 1009, 1086, 3947, 13055, 3490, 11562, 2238, 7070, 1021, 25769, 1507, 1253, 25855, 1101, 11, 1106, 9671, 1096, 1006, 2921, 11480, 1054, 1044, 8697, 1233, 2068, 1009, 3111, 1059, 1136, 3150, 1062, 2428, 56, 62, 1106, 9671, 7139, 13521, 12300, 1142, 3434, 1038, 19593, 10, 2182, 14079, 2701, 12734, 1078, 4559, 9948, 1005, 1305, 9926, 150, 2934, 1160, 1096, 1657, 1068, 1011, 1753, 1010, 1175, 1264, 1318, 3758, 1132, 1118, 1010, 11706, 1065, 1166, 2097, 1169, 2005, 1076, 1006, 31406, 9729, 1005, 1124, 14041, 1065, 10015, 1009, 1251, 21736, 2778, 1191, 1422, 11, 1009, 1963, 1031, 1061, 1458, 1009, 27099, 9452, 14278, 23037, 1009, 13211, 1747, 2841, 5418, 1024, 1342, 15, 1048, 1096, 6151, 5580, 1006, 1101, 11, 1009, 13556, 1963, 1031, 26692, 1175, 1054, 1044, 8697, 21551, 1305, 5591, 1031, 2578, 1048, 1160, 6733, 1268, 4154, 1554, 4685, 1976, 1178, 3778, 1054, 2220, 1026, 7939, 1479, 3283, 10048, 1094, 10587, 2173, 1126, 16722, 1006, 2236, 1187, 4101, 8245, 2668, 1096, 1184, 28661, 1148, 8548, 1233, 13183, 1009, 13556, 1172, 1230, 1189, 6853, 1005, 1144, 1034, 22767, 1046, 1236, 1071, 23414, 10595, 1778, 9940, 1048, 15181, 1026, 2468, 1005, 1006, 13396, 1060, 5913, 1005, 3758, 1132, 1118, 1010, 11706, 1065, 1166, 1565, 1603, 1006, 1224, 5913, 5037, 1184, 17114, 1005, 3378, 8523, 1299, 2155, 3533, 1439, 3360, 2950, 1503, 1071, 158, 1006, 4169, 1009, 1106, 9671, 2444, 17114, 7, 1308, 2308, 1063, 4081, 3707, 1009, 13556, 1963, 1031, 26692, 1006, 1101, 11, 19593, 10, 7583, 2721, 14079, 4737, 1096, 1094, 11480, 2987, 1005, 1305, 17006, 3716, 1043, 1044, 4410, 2201, 14343, 7, 1119, 5373, 1208, 1101, 11, 1009, 13556, 1963, 1031, 26692, 1054, 1044, 8697, 13614, 20, 1138, 13556, 1963, 1031, 26692, 1096, 2289, 1026, 1048, 1299, 3250, 2307, 1479, 1305, 1548, 12316, 2605, 1356, 28713, 1299, 1298, 3711, 8669, 1024, 3900, 1366, 2105, 20, 13055, 3490, 11562, 2238, 7070, 1441, 1301, 23522, 10274, 24419, 1073, 1947, 25344, 4402, 1253, 6519, 1065, 3365, 1101, 11, 1106, 9671, 19593, 10, 1307, 7469, 2202, 1299, 1325, 13552, 1043, 1118, 1010, 11706, 1065, 2585, 5913, 26497, 2669, 1005, 2296, 4369, 1175, 2289, 1213, 1592, 1557, 1175, 1668, 12734, 1078, 4559, 12791, 23494, 1108, 1167, 1005, 1305, 9926, 150, 2934, 1096, 1224, 1853, 13429, 7, 1424, 1101, 11, 1009, 13556, 1963, 1031, 26692, 1184, 28911, 1708, 1005, 1903, 1722, 2543, 1229, 12978, 2539, 7880, 1009, 26740, 1005, 3758, 15316, 1026, 4466, 1187, 1118, 1010, 6788, 1299, 1225, 1118, 1010, 1215, 1606, 1402, 3711, 1395, 2602, 1010, 1048, 6510, 1009, 3629, 25208, 18, 2292, 22997, 1668, 4618, 1009, 2217, 20535, 1009, 1118, 1010, 2201, 19732, 1043, 1422, 11, 1106, 9671, 1048, 1318, 1298, 1178, 3778, 1159, 1044, 4618, 2386, 1068, 1251, 1692, 1005, 1011, 1753, 1010, 5653, 2143, 6079, 1058, 1299, 1225, 5913, 2201, 22834, 1206, 3961, 1043, 4474, 9347, 71, 1479, 9608, 13055, 3490, 11562, 2238, 3270, 83, 4899, 13369, 5926, 23266, 27206, 2988, 1055, 1106, 9671, 1048, 4836, 1548, 9962, 17738, 25187, 5157, 1159, 11703, 23661, 18407, 1034, 1005, 1155, 1609, 156, 3789, 1068, 6233, 1006, 28980, 5068, 14728, 2200, 76, 1526, 1106, 159, 72, 1069, 1128, 10046, 8892, 1134, 1202, 2005, 1010, 1163, 3351, 1399, 1031, 10606, 4150, 1036, 19593, 10, 6653, 1308, 2202, 1299, 1225, 5913, 3178, 2731, 17114, 1005, 7520, 20630, 2166, 10310, 7880, 1009, 26740, 1005, 8016, 19043, 11791, 11020, 86, 1631, 19918, 1067, 2678, 26580, 14895, 1009, 7354, 1080, 159, 72, 1069, 1096, 1026, 3439, 1006, 4054, 20, 10003, 13556, 26580, 14895, 23709, 9395, 1005, 13556, 1963, 1031, 26692, 2149, 25072, 2247, 1009, 28911, 5157, 1068, 1048, 1299, 3241, 2252, 1124, 13772, 28660, 1054, 4732, 1009, 10824, 1990, 1060, 13396, 1060, 24156, 2013, 1044, 1588, 3216, 1091, 1068, 1006, 5913, 14163, 1236, 1043, 1118, 1010, 11706, 1065, 1166, 5848, 3006, 1063, 6454, 1705, 7664, 1106, 3438, 14295, 1035, 94, 79, 2137, 1188, 19593, 10, 9930, 3990, 22445, 3376, 1114, 30206, 1137, 2339, 1668, 1096, 2143, 4618, 14343, 1068, 3056, 1118, 1010, 1005, 1011, 1753, 1010, 1048, 1381, 1026, 2011, 6154, 7, 10003, 1101, 11, 1009, 13556, 1963, 1031, 26692, 3994, 1043, 2752, 17304, 7092, 3629, 1006, 6233, 1026, 12995, 1009, 1026, 12828, 1149, 15, 1005, 13556, 1172, 1230, 1189, 6853, 28661, 31619, 20089, 1069, 1159, 1094, 9438, 1213, 2045, 23673, 3256, 2196, 2237, 2360, 4214, 1096, 1044, 4168, 1009, 4885, 6072, 1068, 1006, 5913, 7, 2324, 53, 5250, 32, 1603, 1299, 5184, 1006, 2071, 1044, 1187, 12734, 1078, 9855, 1106, 9671, 1305, 9926, 150, 2934, 12760, 1160, 11720, 14961, 2071, 1044, 6777, 1348, 1206, 1030, 6853, 1043, 13556, 1963, 1031, 1690, 3617, 2494, 7443, 1026, 13556, 1963, 1031, 26692, 3135, 3659, 1114, 5913, 1118, 3229, 1068, 1663, 1224, 8117, 1961, 2276, 1044, 6777, 1348, 1048, 2177, 9926, 71, 1103, 1069, 6154, 1160, 4597, 3819, 10472, 1054, 4732, 1009, 6937, 1009, 1118, 1010, 11706, 1065, 1166, 3021, 1021, 1053, 4797, 1132, 1118, 1010, 1043, 1028, 1034, 22767, 1046, 1236, 1605, 6128, 10595, 1778, 10021, 1068, 11778, 1132, 1118, 1010, 3056, 1096, 1006, 1144, 1034, 22767, 1046, 1236, 8876, 5706, 1342, 1106, 30066, 1144, 1034, 22767, 1046, 1236, 1096, 1114, 4556, 1044, 3743, 1041, 1301, 3039, 9940, 1048, 28661, 1005, 8953, 1342, 1006, 17596, 1251, 1029, 1183, 1006, 28980, 18677, 1169, 2005, 1076, 18471, 1448, 3716, 1005, 14041, 1065, 10015, 1009, 1251, 21736, 3713, 1720, 9849, 1264, 1381, 1616, 5848, 2267, 1616, 3629, 1006, 11778, 1132, 1118, 1010, 11706, 1065, 1166, 37, 29627, 4131, 1371, 1048, 1006, 1028, 1034, 22767, 1046, 1236, 3629, 1006, 31779, 1006, 5405, 1009, 2684, 1013, 1055, 1009, 1058, 2005, 1071, 168, 4463, 15, 1005, 1318, 15181, 1006, 1319, 1593, 13188, 1068, 1168, 8838, 1006, 5913, 1213, 5211, 1187, 1118, 1229, 3748, 1043, 1048, 1935, 11085, 7314, 20, 1084, 1096, 9948, 1068, 1048, 1592, 1132, 4267, 1009, 5913, 4051, 3498, 1219, 2287, 6326, 17721, 1456, 6641, 1305, 1026, 4461, 1009, 12979, 1112, 29953, 1739, 4618, 1068, 1118, 1010, 11706, 1065, 24086, 7208, 1010, 1009, 1028, 1034, 22767, 1046, 1236, 5, 5359, 1219, 18845, 1009, 1144, 1034, 22767, 1046, 1236, 15269, 1060, 13055, 3490, 11562, 2238, 19593, 10, 11560, 1308, 2814, 1390, 1069, 1043, 1094, 7663, 1028, 1034, 22767, 1046, 1236, 1009, 1782, 8401, 1668, 17392, 1009, 1015, 2678, 15181, 1026, 2468, 1005, 1006, 13396, 13338, 1060, 17596, 22138, 1132, 1118, 1010, 1005, 3758, 1124, 4874, 2173, 1728, 1424, 1094, 13396, 7743, 7155, 1233, 10413, 12908, 1068, 1664, 1132, 4267, 1009, 17596, 1318, 4836, 1094, 5937, 16354, 1009, 28911, 5157, 2966, 19083, 1062, 1533, 1144, 1034, 22767, 1046, 1236, 23673, 8162, 15269, 2536, 2079, 17304, 27206, 19593, 2052, 7583, 4332, 15, 1479, 3204, 1015, 2678, 10293, 4351, 1026, 1853, 5606, 2481, 1043, 1094, 15198, 5058, 1713, 1009, 1028, 1034, 22767, 1046, 1236, 3994, 1043, 2752, 1021, 3426, 1048, 1096, 1094, 9546, 9479, 3593, 1068, 5913, 26497, 2669, 1005, 4099, 6799, 1006, 1251, 1692, 6843, 1367, 1078, 10011, 7070, 1441, 1301, 4269, 1040, 4396, 2159, 1073, 1947, 1587, 4402, 1253, 4150, 1036, 15269, 1144, 1034, 22767, 1046, 7150, 2536, 27206, 2079, 17304, 19593, 10, 1779, 1308, 10081, 5408, 1043, 1006, 9546, 25187, 1526, 1009, 2752, 17304, 1005, 1028, 1034, 22767, 1046, 1236, 1054, 10892, 1187, 1400, 1668, 1318, 20982, 1118, 1010, 11706, 1065, 1166, 1005, 1080, 7721, 1075, 3035, 1006, 1044, 4410, 14343, 20, 1138, 23360, 1036, 9948, 1005, 7743, 1381, 14688, 13288, 1288, 1006, 19650, 1005, 1734, 3195, 1068, 1006, 24156, 21266, 1045, 2207, 4458, 3564, 4996, 11762, 1087, 12758, 15269, 1067, 2678, 1009, 1144, 1034, 22767, 1046, 1236, 19593, 10, 1675, 10122, 6128, 1015, 2678, 14343, 1048, 1381, 1044, 9889, 2011, 1114, 6937, 1049, 4466, 1187, 1118, 1229, 10824, 5604, 1005, 8953, 1342, 1006, 5913, 1043, 1094, 11669, 3359, 1091, 1009, 15269, 1009, 1028, 1034, 22767, 1046, 5330, 8917, 90, 1714, 1068, 4267, 1009, 5913, 2872, 1126, 1318, 28661, 1680, 1005, 1160, 1225, 14795, 1059, 16165, 1745, 1021, 23958, 1068, 6233, 1118, 1010, 3056, 4935, 1299, 1225, 1118, 1010, 29132, 1094, 5939, 1009, 2729, 5633, 31947, 1493, 10021, 25430, 1096, 5184, 1006, 2071, 1044, 4168, 1043, 1745, 1021, 168, 1038, 2223, 1138, 1745, 1021, 1078, 1096, 1044, 5912, 18884, 1009, 1622, 1614, 4869, 1267, 1437, 1337, 10151, 1069, 1048, 1298, 8989, 5807, 2073, 2863, 1009, 7042, 1043, 1006, 17596, 2271, 4874, 2173, 1016, 1005, 2296, 4369, 1495, 23096, 86, 1122, 20764, 1704, 2201, 1622, 1049, 1745, 1021, 1078, 1325, 1054, 1224, 4008, 1009, 21585, 1006, 16867, 7604, 15122, 24704, 12734, 1078, 4559, 3888, 1060, 5913, 15, 1005, 18655, 1006, 2935, 1009, 1502, 2211, 14986, 1026, 1048, 6293, 1006, 5913, 1184, 5102, 1005, 9948, 20, 1084, 1511, 1006, 5913, 1325, 14166, 1005, 14166, 18, 1132, 1118, 1010, 10369, 7314, 20, 2013, 1094, 3616, 17854, 7, 5640, 22195, 1018, 1009, 1465, 4952, 15829, 12653, 1309, 1299, 3135, 5184, 1043, 1745, 1021, 1078, 1009, 6167, 12924, 1068, 3371, 1006, 5913, 1006, 6838, 24303, 1005, 4379, 7109 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1118, 1554, 3204, 12995, 1009, 9458, 1058, 5937, 1043, 1124, 7875, 28306, 1060, 5913, 1005, 2947, 7552, 1294, 1118, 1229, 14140, 1044, 1215, 1606, 1337, 1048, 17217, 1090, 1145, 1132, 1118, 1010, 1005, 1132, 1381, 8616, 4029, 20, 1084, 1511, 1668, 1215, 1606, 1337, 1009, 9458, 31786, 1096, 24025, 1213, 14812, 1264, 10450, 2154, 8264, 1011, 1753, 1010, 675, 1533, 4556, 1096, 1048, 1299, 1160, 1298, 8924, 1026, 4466, 3888, 1187, 1456, 1118, 1554, 2605, 1058, 1456, 1118, 1010, 3056, 18295, 1215, 1606, 3607, 1299, 23704, 7338, 3312, 22302, 1009, 2922, 1213, 1235, 4466, 3462, 1005, 4863, 7550, 1663, 3056, 1118, 1010, 7314, 37, 1691, 1526, 1077, 10113, 2282, 1334, 11106, 8869, 1060, 12734, 1078, 2189, 15, 1009, 7636, 2283, 2140, 10292, 1206, 7875, 28306, 1060, 5913, 1048, 6326, 1215, 1606, 79, 17321, 1005, 4910, 9386, 14313, 10298, 1011, 1753, 1010, 1005, 1249, 2447, 1565, 12931, 1116, 7, 5919, 3136, 12734, 1078, 1787, 13018, 1096, 1006, 5773, 1068, 4379, 1048, 1456, 1118, 1010, 25847, 1215, 1606, 1402, 6762, 4029, 7, 1308, 3026, 1058, 5632, 1009, 6233, 1132, 1118, 1010, 11706, 1065, 2585, 1044, 12734, 1078, 4559, 1305, 9926, 150, 2934, 1043, 13556, 1963, 1031, 26692, 14278, 1106, 46, 2722, 1206, 4473, 27099, 19200, 94, 79, 2137, 1188, 15, 1096, 1235, 1853, 5399, 20, 9340, 12734, 1078, 9855, 1043, 2597, 6295, 26580, 14895, 1160, 1298, 4659, 1054, 1456, 1118, 1010, 1005, 31728, 5060, 162, 17321, 5653, 1010, 1215, 1606, 1402, 6510, 1009, 13556, 1963, 1031, 26692, 1605, 13556, 1963, 1031, 26692, 1096, 1044, 2201, 25107, 1009, 7042, 1043, 1006, 5913, 3743, 1041, 1301, 3039, 1048, 1381, 17426, 1160, 1657, 1054, 1118, 1010, 11706, 1065, 2585, 1011, 1753, 1010, 1005, 1249, 13235, 1309, 1318, 1096, 1044, 9940, 16797, 1091, 1060, 1251, 1692, 1071, 158, 13863, 5413, 1054, 15427, 1009, 1251, 1692, 15651, 1305, 8596, 7, 1565, 1006, 7202, 1060, 17596, 1309, 1318, 31572, 10936, 1294, 1118, 1010, 1068, 14165, 1446, 2693, 1006, 1118, 73, 1461, 1048, 1132, 1325, 30054, 1435, 7655, 1160, 7009, 1006, 5133, 13556, 1395, 8898, 3144, 1138, 13556, 1963, 1031, 26692, 1096, 6255, 1160, 1345, 1170, 1343, 2170, 1009, 10531, 3134, 6847, 25187, 1708, 1005, 25187, 1708, 1048, 12807, 1006, 6233, 1006, 28980, 5068, 1005, 1006, 30521, 22913, 31643, 1872, 1060, 1251, 1692, 1327, 15070, 1394, 1565, 2013, 3711, 1044, 8112, 1348, 1009, 7042, 1043, 1006, 5913, 1068, 5224, 1043, 5913, 26497, 8225, 5913, 1043, 4099, 3029, 1233, 1251, 1692, 2555, 1769, 7899, 2364, 4803, 30926, 1184, 4249, 1072, 3460, 3195, 12621, 24510, 1009, 1118, 1010, 1048, 3911, 1046, 1006, 11353, 1049, 2863, 1005, 6777, 1046, 1132, 1118, 1010, 1215, 1606, 3607, 1305, 12979, 1024, 1006, 5913, 3021, 1739, 4618, 1068, 1118, 1010, 11706, 1065, 24086, 12734, 1078, 9855, 1009, 13556, 1963, 1031, 26692, 24521, 13055, 3490, 11562, 2238, 7070, 1021, 25769, 1507, 1253, 1101, 11, 1106, 9671, 1142, 5624, 1188, 19593, 10, 3939, 14079, 2701, 1096, 1044, 18795, 7910, 1005, 1044, 21504, 3498, 17958, 1118, 1044, 7065, 20, 1587, 1532, 5325, 7, 2858, 1187, 3460, 15427, 1068, 1118, 1010, 11706, 1065, 1166, 1005, 1011, 1753, 1229, 3134, 13556, 1963, 1031, 26692, 1009, 3596, 8202, 8387, 9395, 1005, 11703, 8006, 28911, 1526, 1054, 1094, 13396, 8133, 1236, 7743, 1048, 5325, 1159, 1044, 1030, 6853, 3021, 1078, 1208, 24222, 1044, 5804, 1009, 25372, 1005, 6181, 2059, 5193, 1054, 2220, 1026, 7939, 11138, 13869, 1435, 1006, 2236, 1187, 4101, 1565, 13067, 2745, 1298, 8616, 1044, 2574, 1080, 2300, 1377, 2538, 1281, 1048, 1264, 2374, 5560, 9194, 13578, 1996, 1009, 10048, 1044, 28661, 1148, 1206, 25383, 11457, 1118, 6544, 6788, 30262, 1044, 5203, 1009, 1086, 3947, 13055, 3490, 11562, 2238, 7070, 1021, 25769, 1507, 1253, 25855, 1101, 11, 1106, 9671, 1096, 1006, 2921, 11480, 1054, 1044, 8697, 1233, 2068, 1009, 3111, 1059, 1136, 3150, 1062, 2428, 56, 62, 1106, 9671, 7139, 13521, 12300, 1142, 3434, 1038, 19593, 10, 2182, 14079, 2701, 12734, 1078, 4559, 9948, 1005, 1305, 9926, 150, 2934, 1160, 1096, 1657, 1068, 1011, 1753, 1010, 1175, 1264, 1318, 3758, 1132, 1118, 1010, 11706, 1065, 1166, 2097, 1169, 2005, 1076, 1006, 31406, 9729, 1005, 1124, 14041, 1065, 10015, 1009, 1251, 21736, 2778, 1191, 1422, 11, 1009, 1963, 1031, 1061, 1458, 1009, 27099, 9452, 14278, 23037, 1009, 13211, 1747, 2841, 5418, 1024, 1342, 15, 1048, 1096, 6151, 5580, 1006, 1101, 11, 1009, 13556, 1963, 1031, 26692, 1175, 1054, 1044, 8697, 21551, 1305, 5591, 1031, 2578, 1048, 1160, 6733, 1268, 4154, 1554, 4685, 1976, 1178, 3778, 1054, 2220, 1026, 7939, 1479, 3283, 10048, 1094, 10587, 2173, 1126, 16722, 1006, 2236, 1187, 4101, 8245, 2668, 1096, 1184, 28661, 1148, 8548, 1233, 13183, 1009, 13556, 1172, 1230, 1189, 6853, 1005, 1144, 1034, 22767, 1046, 1236, 1071, 23414, 10595, 1778, 9940, 1048, 15181, 1026, 2468, 1005, 1006, 13396, 1060, 5913, 1005, 3758, 1132, 1118, 1010, 11706, 1065, 1166, 1565, 1603, 1006, 1224, 5913, 5037, 1184, 17114, 1005, 3378, 8523, 1299, 2155, 3533, 1439, 3360, 2950, 1503, 1071, 158, 1006, 4169, 1009, 1106, 9671, 2444, 17114, 7, 1308, 2308, 1063, 4081, 3707, 1009, 13556, 1963, 1031, 26692, 1006, 1101, 11, 19593, 10, 7583, 2721, 14079, 4737, 1096, 1094, 11480, 2987, 1005, 1305, 17006, 3716, 1043, 1044, 4410, 2201, 14343, 7, 1119, 5373, 1208, 1101, 11, 1009, 13556, 1963, 1031, 26692, 1054, 1044, 8697, 13614, 20, 1138, 13556, 1963, 1031, 26692, 1096, 2289, 1026, 1048, 1299, 3250, 2307, 1479, 1305, 1548, 12316, 2605, 1356, 28713, 1299, 1298, 3711, 8669, 1024, 3900, 1366, 2105, 20, 13055, 3490, 11562, 2238, 7070, 1441, 1301, 23522, 10274, 24419, 1073, 1947, 25344, 4402, 1253, 6519, 1065, 3365, 1101, 11, 1106, 9671, 19593, 10, 1307, 7469, 2202, 1299, 1325, 13552, 1043, 1118, 1010, 11706, 1065, 2585, 5913, 26497, 2669, 1005, 2296, 4369, 1175, 2289, 1213, 1592, 1557, 1175, 1668, 12734, 1078, 4559, 12791, 23494, 1108, 1167, 1005, 1305, 9926, 150, 2934, 1096, 1224, 1853, 13429, 7, 1424, 1101, 11, 1009, 13556, 1963, 1031, 26692, 1184, 28911, 1708, 1005, 1903, 1722, 2543, 1229, 12978, 2539, 7880, 1009, 26740, 1005, 3758, 15316, 1026, 4466, 1187, 1118, 1010, 6788, 1299, 1225, 1118, 1010, 1215, 1606, 1402, 3711, 1395, 2602, 1010, 1048, 6510, 1009, 3629, 25208, 18, 2292, 22997, 1668, 4618, 1009, 2217, 20535, 1009, 1118, 1010, 2201, 19732, 1043, 1422, 11, 1106, 9671, 1048, 1318, 1298, 1178, 3778, 1159, 1044, 4618, 2386, 1068, 1251, 1692, 1005, 1011, 1753, 1010, 5653, 2143, 6079, 1058, 1299, 1225, 5913, 2201, 22834, 1206, 3961, 1043, 4474, 9347, 71, 1479, 9608, 13055, 3490, 11562, 2238, 3270, 83, 4899, 13369, 5926, 23266, 27206, 2988, 1055, 1106, 9671, 1048, 4836, 1548, 9962, 17738, 25187, 5157, 1159, 11703, 23661, 18407, 1034, 1005, 1155, 1609, 156, 3789, 1068, 6233, 1006, 28980, 5068, 14728, 2200, 76, 1526, 1106, 159, 72, 1069, 1128, 10046, 8892, 1134, 1202, 2005, 1010, 1163, 3351, 1399, 1031, 10606, 4150, 1036, 19593, 10, 6653, 1308, 2202, 1299, 1225, 5913, 3178, 2731, 17114, 1005, 7520, 20630, 2166, 10310, 7880, 1009, 26740, 1005, 8016, 19043, 11791, 11020, 86, 1631, 19918, 1067, 2678, 26580, 14895, 1009, 7354, 1080, 159, 72, 1069, 1096, 1026, 3439, 1006, 4054, 20, 10003, 13556, 26580, 14895, 23709, 9395, 1005, 13556, 1963, 1031, 26692, 2149, 25072, 2247, 1009, 28911, 5157, 1068, 1048, 1299, 3241, 2252, 1124, 13772, 28660, 1054, 4732, 1009, 10824, 1990, 1060, 13396, 1060, 24156, 2013, 1044, 1588, 3216, 1091, 1068, 1006, 5913, 14163, 1236, 1043, 1118, 1010, 11706, 1065, 1166, 5848, 3006, 1063, 6454, 1705, 7664, 1106, 3438, 14295, 1035, 94, 79, 2137, 1188, 19593, 10, 9930, 3990, 22445, 3376, 1114, 30206, 1137, 2339, 1668, 1096, 2143, 4618, 14343, 1068, 3056, 1118, 1010, 1005, 1011, 1753, 1010, 1048, 1381, 1026, 2011, 6154, 7, 10003, 1101, 11, 1009, 13556, 1963, 1031, 26692, 3994, 1043, 2752, 17304, 7092, 3629, 1006, 6233, 1026, 12995, 1009, 1026, 12828, 1149, 15, 1005, 13556, 1172, 1230, 1189, 6853, 28661, 31619, 20089, 1069, 1159, 1094, 9438, 1213, 2045, 23673, 3256, 2196, 2237, 2360, 4214, 1096, 1044, 4168, 1009, 4885, 6072, 1068, 1006, 5913, 7, 2324, 53, 5250, 32, 1603, 1299, 5184, 1006, 2071, 1044, 1187, 12734, 1078, 9855, 1106, 9671, 1305, 9926, 150, 2934, 12760, 1160, 11720, 14961, 2071, 1044, 6777, 1348, 1206, 1030, 6853, 1043, 13556, 1963, 1031, 1690, 3617, 2494, 7443, 1026, 13556, 1963, 1031, 26692, 3135, 3659, 1114, 5913, 1118, 3229, 1068, 1663, 1224, 8117, 1961, 2276, 1044, 6777, 1348, 1048, 2177, 9926, 71, 1103, 1069, 6154, 1160, 4597, 3819, 10472, 1054, 4732, 1009, 6937, 1009, 1118, 1010, 11706, 1065, 1166, 3021, 1021, 1053, 4797, 1132, 1118, 1010, 1043, 1028, 1034, 22767, 1046, 1236, 1605, 6128, 10595, 1778, 10021, 1068, 11778, 1132, 1118, 1010, 3056, 1096, 1006, 1144, 1034, 22767, 1046, 1236, 8876, 5706, 1342, 1106, 30066, 1144, 1034, 22767, 1046, 1236, 1096, 1114, 4556, 1044, 3743, 1041, 1301, 3039, 9940, 1048, 28661, 1005, 8953, 1342, 1006, 17596, 1251, 1029, 1183, 1006, 28980, 18677, 1169, 2005, 1076, 18471, 1448, 3716, 1005, 14041, 1065, 10015, 1009, 1251, 21736, 3713, 1720, 9849, 1264, 1381, 1616, 5848, 2267, 1616, 3629, 1006, 11778, 1132, 1118, 1010, 11706, 1065, 1166, 37, 29627, 4131, 1371, 1048, 1006, 1028, 1034, 22767, 1046, 1236, 3629, 1006, 31779, 1006, 5405, 1009, 2684, 1013, 1055, 1009, 1058, 2005, 1071, 168, 4463, 15, 1005, 1318, 15181, 1006, 1319, 1593, 13188, 1068, 1168, 8838, 1006, 5913, 1213, 5211, 1187, 1118, 1229, 3748, 1043, 1048, 1935, 11085, 7314, 20, 1084, 1096, 9948, 1068, 1048, 1592, 1132, 4267, 1009, 5913, 4051, 3498, 1219, 2287, 6326, 17721, 1456, 6641, 1305, 1026, 4461, 1009, 12979, 1112, 29953, 1739, 4618, 1068, 1118, 1010, 11706, 1065, 24086, 7208, 1010, 1009, 1028, 1034, 22767, 1046, 1236, 5, 5359, 1219, 18845, 1009, 1144, 1034, 22767, 1046, 1236, 15269, 1060, 13055, 3490, 11562, 2238, 19593, 10, 11560, 1308, 2814, 1390, 1069, 1043, 1094, 7663, 1028, 1034, 22767, 1046, 1236, 1009, 1782, 8401, 1668, 17392, 1009, 1015, 2678, 15181, 1026, 2468, 1005, 1006, 13396, 13338, 1060, 17596, 22138, 1132, 1118, 1010, 1005, 3758, 1124, 4874, 2173, 1728, 1424, 1094, 13396, 7743, 7155, 1233, 10413, 12908, 1068, 1664, 1132, 4267, 1009, 17596, 1318, 4836, 1094, 5937, 16354, 1009, 28911, 5157, 2966, 19083, 1062, 1533, 1144, 1034, 22767, 1046, 1236, 23673, 8162, 15269, 2536, 2079, 17304, 27206, 19593, 2052, 7583, 4332, 15, 1479, 3204, 1015, 2678, 10293, 4351, 1026, 1853, 5606, 2481, 1043, 1094, 15198, 5058, 1713, 1009, 1028, 1034, 22767, 1046, 1236, 3994, 1043, 2752, 1021, 3426, 1048, 1096, 1094, 9546, 9479, 3593, 1068, 5913, 26497, 2669, 1005, 4099, 6799, 1006, 1251, 1692, 6843, 1367, 1078, 10011, 7070, 1441, 1301, 4269, 1040, 4396, 2159, 1073, 1947, 1587, 4402, 1253, 4150, 1036, 15269, 1144, 1034, 22767, 1046, 7150, 2536, 27206, 2079, 17304, 19593, 10, 1779, 1308, 10081, 5408, 1043, 1006, 9546, 25187, 1526, 1009, 2752, 17304, 1005, 1028, 1034, 22767, 1046, 1236, 1054, 10892, 1187, 1400, 1668, 1318, 20982, 1118, 1010, 11706, 1065, 1166, 1005, 1080, 7721, 1075, 3035, 1006, 1044, 4410, 14343, 20, 1138, 23360, 1036, 9948, 1005, 7743, 1381, 14688, 13288, 1288, 1006, 19650, 1005, 1734, 3195, 1068, 1006, 24156, 21266, 1045, 2207, 4458, 3564, 4996, 11762, 1087, 12758, 15269, 1067, 2678, 1009, 1144, 1034, 22767, 1046, 1236, 19593, 10, 1675, 10122, 6128, 1015, 2678, 14343, 1048, 1381, 1044, 9889, 2011, 1114, 6937, 1049, 4466, 1187, 1118, 1229, 10824, 5604, 1005, 8953, 1342, 1006, 5913, 1043, 1094, 11669, 3359, 1091, 1009, 15269, 1009, 1028, 1034, 22767, 1046, 5330, 8917, 90, 1714, 1068, 4267, 1009, 5913, 2872, 1126, 1318, 28661, 1680, 1005, 1160, 1225, 14795, 1059, 16165, 1745, 1021, 23958, 1068, 6233, 1118, 1010, 3056, 4935, 1299, 1225, 1118, 1010, 29132, 1094, 5939, 1009, 2729, 5633, 31947, 1493, 10021, 25430, 1096, 5184, 1006, 2071, 1044, 4168, 1043, 1745, 1021, 168, 1038, 2223, 1138, 1745, 1021, 1078, 1096, 1044, 5912, 18884, 1009, 1622, 1614, 4869, 1267, 1437, 1337, 10151, 1069, 1048, 1298, 8989, 5807, 2073, 2863, 1009, 7042, 1043, 1006, 17596, 2271, 4874, 2173, 1016, 1005, 2296, 4369, 1495, 23096, 86, 1122, 20764, 1704, 2201, 1622, 1049, 1745, 1021, 1078, 1325, 1054, 1224, 4008, 1009, 21585, 1006, 16867, 7604, 15122, 24704, 12734, 1078, 4559, 3888, 1060, 5913, 15, 1005, 18655, 1006, 2935, 1009, 1502, 2211, 14986, 1026, 1048, 6293, 1006, 5913, 1184, 5102, 1005, 9948, 20, 1084, 1511, 1006, 5913, 1325, 14166, 1005, 14166, 18, 1132, 1118, 1010, 10369, 7314, 20, 2013, 1094, 3616, 17854, 7, 5640, 22195, 1018, 1009, 1465, 4952, 15829, 12653, 1309, 1299, 3135, 5184, 1043, 1745, 1021, 1078, 1009, 6167, 12924, 1068, 3371, 1006, 5913, 1006, 6838, 24303, 1005, 4379, 7109 ]

[ 1493, 3707, 1114, 9114, 1009, 3584, 9898, 1495, 1006, 3832, 1009, 2879, 3211, 16066, 11788, 7450, 1195, 27644, 1114, 13829, 19272, 21180, 3878, 1048, 1516, 1044, 6573, 1049, 2671, 1114, 2236, 1009, 3090, 1009, 9879, 1068, 1006, 4173, 1009, 24230, 2123, 1041, 9596, 1063, 13829, 1516, 1094, 7663, 7614, 1009, 1261, 4525, 21646, 1118, 9957, 1010, 1005, 1072, 3709, 1060, 4790, 4385, 7329, 4799, 1516, 4958, 1233, 4482, 1060, 28206, 1005, 1213, 4674, 9388, 31025, 1054, 6019, 1481, 1377, 1063, 23444, 1006, 4044, 26802, 1005, 2089, 20419, 17646, 1847, 8518, 1166, 1213, 19603, 1060, 10186, 7844, 1072, 4409, 29018, 18906, 1054, 19603, 1257, 3026, 1006, 2828, 1009, 3584, 22396, 1048, 1846, 3475, 1006, 1058, 7726, 10186, 57, 6540, 1195, 6754, 1054, 16560, 1124, 23178, 7450, 3718, 13095, 6774, 1312, 1049, 29491, 1566, 5588, 2281, 4453, 1312, 1068, 1178, 1026, 4409, 19603, 1060, 4317, 2485, 7329, 4840, 3635, 1516, 1178, 7263, 1159, 1006, 20696, 1377, 1138, 2417, 6043, 2344, 1069, 1356, 1083, 0, 29898, 1060, 10186, 57, 6540, 3381, 5569, 8201, 9579, 10403, 1034, 1044, 19603, 1114, 2413, 1049, 29491, 2097, 1026, 2417, 1009, 7980, 1060, 5827, 3650, 5600, 2143, 1187, 19020, 1060, 4317, 2485, 10403, 1034, 1006, 7442, 1114, 21180, 6220, 6062, 2277, 2417, 7917, 6594, 9512, 1005, 1026, 2671, 26773, 16693, 7315, 1131, 1006, 16662, 1068, 1006, 3649, 1049, 3526, 9039, 1063, 7442, 1049, 19603, 10602, 2413, 1195, 7697, 1140, 1318, 1118, 9200, 18998, 1187, 14467, 1009, 7450, 1060, 2413, 2286, 26614, 1026, 2671, 1049, 2497, 2566, 5604, 1006, 18394, 1271, 7450, 20, 25428, 9765, 8201, 17086, 1026, 29898, 1048, 4145, 1720, 1213, 19603, 23350, 1118, 1044, 1557, 1620, 27916, 1160, 4480, 1006, 12048, 1068, 1006, 21180, 3878, 1026, 1048, 21054, 1026, 1831, 1807, 4241, 31936, 1060, 10186, 7844, 1054, 5978, 1060, 1641, 4317, 8194, 1114, 28206, 20, 15576, 7475, 1026, 9795, 1187, 6543, 1009, 3237, 6405, 1411, 7564, 1005, 14911, 1566, 1836, 8354, 5339, 1026, 4248, 1132, 21123, 25322, 1026, 2269, 1187, 9957, 1229, 1124, 4268, 1596, 10549, 2537, 1312, 1005, 1006, 16662, 5530, 1195, 5791, 8140, 20, 10662, 1294, 1646, 26914, 1592, 1043, 1026, 19603, 1566, 9900, 24144, 1599, 1620, 7444, 2318, 1020, 7102, 1077, 1072, 2386, 13090, 6897, 27376, 5754, 4811, 2644, 1213, 12271, 17848, 1060, 1641, 4317, 8194, 20, 12662, 1161, 1159, 1006, 5530, 4799, 1060, 16662, 1620, 4548, 20, 8601, 1384, 10185, 20237, 1495, 2574, 1557, 5626, 1026, 7414, 1009, 7974, 7537, 1049, 4316, 1009, 7564, 1106, 9767, 1392, 18338, 27224, 1257, 10858, 10186, 7844, 3886, 2376, 14197, 2561, 1443, 3220, 1005, 28392, 1333, 3133, 1476, 1020, 18976, 7851, 17608, 3517, 1009, 3584, 9898, 18478, 1009, 24169, 18195, 1054, 3584, 9898, 1054, 10321, 1, 1138, 24908, 1009, 4429, 1061, 21393, 1318, 3509, 24908, 1009, 4833, 12127, 4932, 5389, 1189, 7068, 8310, 91, 23580, 92, 1061, 1732, 1206, 8310, 91, 1009, 4833, 1842, 18006, 1349, 1325, 11073, 1114, 9130, 19866, 1060, 3583, 1060, 22827, 1009, 4429, 1061, 21393, 10992, 1278, 1114, 25138, 1009, 14237, 8107, 6370, 1213, 12037, 5389, 1189, 2673, 1009, 1163, 2234, 29614, 1114, 3806, 16783, 1049, 4091, 9823, 2645, 1500, 71, 13, 82, 4091, 2732, 1321, 20192, 24908, 1096, 9004, 1188, 1357, 8558, 27683, 2012, 1009, 4429, 1061, 1732, 5801, 4395, 1224, 3649, 2845, 1054, 9856, 2023, 15121, 19392, 2257, 1371, 13535, 1006, 1224, 7633, 1114, 16783, 1060, 11794, 73, 2166, 1009, 1871, 1048, 1132, 23544, 1026, 18873, 7682, 1159, 3357, 1009, 8506, 28913, 1043, 1026, 24908, 1009, 11446, 2929, 166, 1016, 1005, 18965, 1557, 5434, 1068, 10995, 1006, 1224, 3583, 1006, 1118, 6302, 1776, 2268, 1668, 2269, 9011, 2923, 11347, 3830, 24025, 1679, 1557, 16636, 1005, 7893, 14972, 1006, 12124, 1049, 4091, 9823, 1068, 1006, 1224, 7633, 24135, 1658, 11129, 1096, 24216, 1008, 2644, 22042, 1005, 11214, 3957, 1213, 2790, 3184, 1049, 7538, 20, 1482, 1578, 9132, 3599, 7859, 18, 1043, 1006, 9097, 1009, 3357, 19713, 13228, 1043, 1044, 10008, 1009, 1782, 1025, 23171, 11724, 1118, 1044, 1064, 1432, 1013, 1009, 17718, 4541, 1048, 1195, 21041, 1054, 8931, 24, 1118, 1094, 1009, 1068, 76, 5949, 20324, 1058, 28834, 1079, 1044, 2666, 1009, 31316, 4706, 11213, 17560, 1005, 1044, 15517, 1017, 2129, 168, 1722, 7646, 1043, 31316, 152, 1009, 17609, 25473, 1009, 1871, 1048, 1224, 9097, 1516, 1009, 3357, 12737, 1043, 23741, 25473, 1005, 1738, 3485, 1161, 1006, 1752, 1487, 4686, 2286, 14393, 1058, 10082, 15473, 2923, 1005, 1054, 20600, 1195, 1049, 6523, 1009, 1094, 1015, 1336, 1692, 29457, 10257, 4405, 3510, 1140, 1114, 1751, 3596, 1060, 11129, 20, 1482, 20646, 2962, 5035, 1094, 26579, 7151, 15142, 16030, 1549, 1005, 1006, 8116, 1060, 7442, 24166, 1126, 5674, 1157, 1006, 9097, 1009, 1738, 3485, 1161, 12737, 1005, 13228, 1054, 2872, 1164, 2106, 1005, 19151, 1094, 5514, 1009, 2128, 16694, 1028, 13881, 6997, 1766, 3322, 1010, 20607, 1048, 3684, 20234, 1648, 1826, 9021, 1166, 1118, 1044, 28372, 1009, 12923, 1030, 17712, 1728, 4670, 1183, 1044, 1116, 1212, 7606, 1188, 20447, 74, 5701, 1322, 1006, 22827, 3552, 6317, 1048, 2947, 9900, 1268, 17458, 1140, 1060, 26594, 11747, 1357, 6640, 1187, 13873, 6097, 1708, 1049, 11029, 1005, 7921, 2286, 1569, 18179, 18477, 1371, 1094, 9371, 1009, 23575, 1068, 5978, 1060, 22827, 1187, 8332, 1009, 1359, 89, 1480, 6832, 2223, 24559, 1455, 7545, 1027, 1481, 1400, 1132, 29594, 1596, 1009, 8003, 1233, 11950, 16066, 1049, 4577, 1060, 9371, 2111, 2923, 1114, 3649, 1049, 24908, 3818, 2310, 1537, 29938, 1009, 4833, 12127, 1198, 8310, 1010, 1131, 1016, 1410, 1092, 1728, 16071, 4395, 92, 1061, 1732, 1940, 1024, 8474, 1060, 4573, 22086, 15388, 1009, 1578, 9132, 3564, 2234, 2681, 1, 25751, 4242, 14626, 3258, 3420, 15481, 1014, 3306, 2675, 9129, 1100, 1422, 1009, 3149, 1009, 8379, 1349, 4485, 1159, 4242, 14626, 15481, 1870, 1096, 1094, 5958, 1009, 4132, 1064, 6742, 5291, 1432, 6605, 3829, 7587, 1257, 14141, 14626, 15481, 1014, 1096, 5380, 1049, 4472, 86, 8865, 1009, 12178, 3646, 11308, 22146, 15481, 1870, 1005, 1060, 30427, 24242, 7015, 3258, 92, 1667, 1537, 2202, 14070, 1072, 4843, 6571, 1054, 7127, 1005, 12081, 7154, 1118, 1044, 1901, 1054, 8462, 1072, 1901, 7715, 1511, 2276, 2131, 1079, 1068, 1044, 3129, 1072, 7335, 1009, 1063, 19826, 1145, 7421, 11494, 11315, 1049, 5979, 3546, 17264, 4733, 5115, 1026, 21455, 2845, 1224, 3560, 1054, 6747, 1159, 1006, 4575, 8485, 1017, 10774, 1026, 2011, 1054, 1063, 19826, 1145, 7421, 11494, 10083, 1054, 1734, 4965, 20978, 1068, 1006, 4132, 22640, 1159, 1307, 15210, 1005, 11752, 10590, 2231, 4719, 23314, 1847, 13959, 3057, 2046, 17593, 19605, 17307, 1068, 3047, 11601, 13429, 1077, 1054, 3560, 4750, 18352, 1257, 4053, 620, 20390, 32, 11752, 10590, 2231, 4719, 37, 2794, 6113, 1009, 28907, 15, 34, 5, 4053, 620, 17816, 32, 1307, 15210, 2794, 6113, 1009, 28907, 1308, 22022, 32, 23594, 5656, 1014, 1175, 2332, 1344, 1568, 76, 1169, 1128, 153, 90, 1248, 2794, 6113, 1009, 28907, 1308, 4161, 32, 2561, 4138, 2807, 1014, 1245, 1088, 675, 2794, 6113, 1009, 28907, 1308, 3973, 620, 22424, 32, 1063, 19826, 1145, 13887, 4139, 21401, 1623, 21554, 26937, 1009, 3032, 6577, 1009, 8277, 21074, 1, 1138, 1156, 61, 21835, 13915, 13826, 12492, 1096, 1044, 3479, 1009, 5908, 1009, 3961, 4458, 3467, 1048, 11512, 1006, 9050, 3399, 26070, 1683, 20161, 5469, 48, 54, 61, 1565, 9788, 61, 21835, 8, 1096, 1026, 1251, 7367, 1714, 1049, 9295, 1009, 2671, 1060, 1144, 48, 54, 24622, 1026, 9318, 20161, 10322, 11697, 5953, 1138, 3479, 1195, 21423, 1054, 2224, 1009, 3049, 1009, 20469, 1054, 1044, 30077, 6568, 1060, 1144, 48, 54, 31279, 1138, 1156, 61, 21835, 13915, 13826, 12492, 1160, 1096, 1026, 3872, 3479, 1009, 8411, 1395, 1046, 89, 1048, 1096, 18087, 1114, 1144, 48, 54, 61, 33, 1026, 1156, 61, 21835, 13050, 31433, 26854, 13915, 13826, 12492, 1318, 1096, 24752, 16364, 1357, 1144, 48, 54, 31279, 1551, 2303, 1043, 1026, 2788, 3092, 1060, 1144, 48, 54, 24622, 1026, 1156, 61, 21835, 13915, 13826, 12492, 1096, 28630, 1159, 9788, 61, 21835, 31433, 1313, 7808, 7852, 1406, 2097, 1026, 13050, 31433, 26854, 13915, 13826, 12492, 1096, 5077, 9788, 61, 21835, 13439, 13915, 7852, 2100, 14935, 1044, 7248, 1009, 3961, 15213, 1026, 3479, 1096, 14428, 1159, 3435, 1009, 1044, 3435, 10741, 13644, 2270, 2034, 5376, 1009, 3479, 13876, 3587, 1054, 4203, 7548, 1402, 1357, 1144, 48, 54, 31279, 33, 3702, 1026, 3479, 3241, 21773, 1009, 6000, 1657, 2156, 2624, 1054, 4203, 1048, 1160, 2829, 1060, 1144, 48, 54, 24622, 1264, 1195, 10403, 1188, 1054, 2754, 2089, 18981, 5801, 3367, 1347, 1048, 1026, 3479, 4219, 1895, 1599, 1006, 3399, 26070, 1683, 20161, 7217, 1026, 1144, 30732, 11631, 8724, 13915, 13826, 12492, 18, 1044, 3479, 8901, 6934, 1054, 7365, 18256, 1005, 1026, 13953, 44, 9318, 13915, 13826, 12492, 18, 1044, 3479, 1043, 12186, 1060, 5488, 20161, 17551, 7884, 18, 23365, 6892, 1043, 1006, 5966, 1009, 2011, 1043, 1006, 13953, 44, 5044, 18026, 5977, 5322, 1596, 1344, 10753, 11559, 1154, 1005, 1128, 5659, 19631, 26377, 27840, 1803, 1048, 13685, 1412, 9203, 1705, 1816, 79, 1005, 1067, 7957, 79, 22570, 71, 1103, 15285, 1463, 1852, 1009, 1044, 8552, 1068, 5587, 1026, 7248, 1054, 2224, 1009, 3049, 1009, 20469, 1054, 1044, 3366, 1213, 5595, 1049, 1144, 48, 54, 31279, 3423, 1060, 1144, 48, 54, 24622, 1026, 1156, 61, 21835, 13915, 13826, 12492, 1318, 1195, 1201, 13232, 1463, 18981, 1187, 2138, 2365, 5488, 12492, 20161, 8847, 41, 61, 15, 24831, 1280, 22992, 15, 1072, 2738, 1060, 3832, 1009, 8029, 1005, 18320, 1144, 3744, 1568, 17415, 20161, 4139, 8950, 15, 1054, 7905, 1005, 1114, 9050, 29599, 1009, 1541, 3208, 2687, 3694, 1535, 1117, 2402, 3747, 1009, 4782, 1107, 4663, 1013, 1054, 4483, 2286, 2595, 1009, 3268, 1009, 9861, 1054, 23971, 1324, 14241, 1128, 12666, 1056, 1005, 1574, 9603, 13685, 1412, 1207, 7259, 7403, 1128, 1685, 78, 20771, 1005, 3492, 2914, 20544, 22488, 1046, 1154, 1068, 10889, 1235, 12035, 13121, 2357, 1054, 22106, 1482, 1101, 1009, 3353, 1009, 7269, 1195, 5447, 1044, 3479, 1957, 1468, 1009, 8411, 1395, 5984, 1511, 1128, 12666, 1056, 1005, 1574, 9603, 17156, 7880, 1009, 1098, 1974, 3843, 1344, 15390, 1342, 4070, 1005, 1128, 1185, 79, 15030, 15041, 13685, 1412, 1124, 5908, 1009, 1941, 10589, 79, 25688, 1889, 1005, 2494, 1684, 19631, 24970, 1046, 5742, 1005, 30257, 14648, 1005, 19812, 1020, 5122, 9968, 1054, 1094, 3286, 11243, 19, 5936, 1795, 1358, 1068, 1058, 30844, 1132, 4181, 18026, 20, 1138, 2670, 1060, 1144, 48, 54, 24622, 16941, 19457, 1705, 1816, 1803, 5404, 1043, 1026, 13121, 1009, 1128, 12666, 1056, 1005, 1574, 9603, 1054, 1158, 1009, 3042, 1009, 7269, 1846, 1009, 1128, 12666, 1056, 1005, 1574, 9603, 1808, 3890, 1009, 1663, 22106, 2878, 1182, 91, 22488, 1056, 4396, 79, 1005, 15038, 10972, 15789, 1017, 1803, 1048, 13685, 1412, 1344, 15390, 1342, 4070, 1005, 15030, 15041, 1054, 2128, 1009, 3353, 1009, 7269, 1068, 1058, 30844, 1132, 1156, 61, 21835, 13915, 13826, 9956, 1678, 1596, 26068, 1159, 1156, 61, 21835, 13915, 13826, 9956, 89, 1357, 1144, 48, 54, 61, 1054, 3771, 1009, 3042, 1009, 4265, 2286, 7905, 2045, 21657, 6026, 1016, 15102, 15917, 13826, 12808, 1054, 3186, 1009, 3353, 1009, 7905, 1463, 15414, 1049, 6449, 1049, 2868, 1009, 4132, 24281, 1060, 1128, 8950, 1054, 2595, 1009, 3353, 1009, 7905, 1128, 8950, 5570, 4046, 23556, 1054, 1094, 3187, 1723, 1795, 1358, 20, 20324, 1006, 1144, 48, 54, 61, 16394, 1094, 8239, 9301, 1077, 1048, 1857, 1160, 24752, 1129, 1412, 1006, 5978, 3048, 1006, 5042, 1009, 3479, 2170, 1118, 3005, 1160, 12975, 1648, 1026, 17235, 2270, 5126, 17692, 1006, 12975, 1006, 13826, 12808, 1159, 18026, 9227, 1005, 27763, 1048, 1006, 4958, 5978, 1009, 3479, 2909, 1187, 2276, 18026, 13826, 12808, 1005, 9090, 1178, 24752, 1129, 1140, 1357, 1144, 48, 54, 31279, 1482, 1782, 1009, 3383, 1009, 7905, 1006, 1144, 48, 54, 61, 22651, 2143, 14627, 1009, 8324, 15311, 1048, 2364, 3586, 3307, 1819, 2045, 21657, 6026, 1016, 1129, 1009, 1106, 1892, 1093, 16754, 1093, 1005, 13683, 10240, 1159, 1132, 1156, 61, 21835, 13915, 13826, 9956, 1678, 5700, 1026, 13121, 3092, 14592, 7577, 29092, 2060, 95, 31532, 1128, 12666, 1056, 5474, 24986, 1026, 8812, 1009, 1184, 1057, 7577, 1159, 1044, 23599, 31297, 1043, 1049, 96, 1802, 1766, 14219, 1057, 7577, 2627, 7577, 1009, 1128, 12666, 1056, 2058, 1046, 3130, 31, 4325, 7872, 1026, 1048, 1096, 1712, 1049, 1048, 2073, 2143, 12347, 3320, 1424, 4234, 17235, 2585, 1006, 2759, 1009, 1128, 12666, 1056, 1005, 1067, 2746, 7403, 13446, 80, 1549, 8491, 1026, 8812, 1009, 1184, 1057, 7577, 1159, 22106, 1128, 12666, 1056, 1005, 2605, 9052, 2060, 1574, 9603, 1225, 3251, 17235, 2585, 25189, 20245, 1839, 2250, 30371, 1586, 1049, 1048, 2073, 2924 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1493, 3707, 1114, 9114, 1009, 3584, 9898, 1495, 1006, 3832, 1009, 2879, 3211, 16066, 11788, 7450, 1195, 27644, 1114, 13829, 19272, 21180, 3878, 1048, 1516, 1044, 6573, 1049, 2671, 1114, 2236, 1009, 3090, 1009, 9879, 1068, 1006, 4173, 1009, 24230, 2123, 1041, 9596, 1063, 13829, 1516, 1094, 7663, 7614, 1009, 1261, 4525, 21646, 1118, 9957, 1010, 1005, 1072, 3709, 1060, 4790, 4385, 7329, 4799, 1516, 4958, 1233, 4482, 1060, 28206, 1005, 1213, 4674, 9388, 31025, 1054, 6019, 1481, 1377, 1063, 23444, 1006, 4044, 26802, 1005, 2089, 20419, 17646, 1847, 8518, 1166, 1213, 19603, 1060, 10186, 7844, 1072, 4409, 29018, 18906, 1054, 19603, 1257, 3026, 1006, 2828, 1009, 3584, 22396, 1048, 1846, 3475, 1006, 1058, 7726, 10186, 57, 6540, 1195, 6754, 1054, 16560, 1124, 23178, 7450, 3718, 13095, 6774, 1312, 1049, 29491, 1566, 5588, 2281, 4453, 1312, 1068, 1178, 1026, 4409, 19603, 1060, 4317, 2485, 7329, 4840, 3635, 1516, 1178, 7263, 1159, 1006, 20696, 1377, 1138, 2417, 6043, 2344, 1069, 1356, 1083, 0, 29898, 1060, 10186, 57, 6540, 3381, 5569, 8201, 9579, 10403, 1034, 1044, 19603, 1114, 2413, 1049, 29491, 2097, 1026, 2417, 1009, 7980, 1060, 5827, 3650, 5600, 2143, 1187, 19020, 1060, 4317, 2485, 10403, 1034, 1006, 7442, 1114, 21180, 6220, 6062, 2277, 2417, 7917, 6594, 9512, 1005, 1026, 2671, 26773, 16693, 7315, 1131, 1006, 16662, 1068, 1006, 3649, 1049, 3526, 9039, 1063, 7442, 1049, 19603, 10602, 2413, 1195, 7697, 1140, 1318, 1118, 9200, 18998, 1187, 14467, 1009, 7450, 1060, 2413, 2286, 26614, 1026, 2671, 1049, 2497, 2566, 5604, 1006, 18394, 1271, 7450, 20, 25428, 9765, 8201, 17086, 1026, 29898, 1048, 4145, 1720, 1213, 19603, 23350, 1118, 1044, 1557, 1620, 27916, 1160, 4480, 1006, 12048, 1068, 1006, 21180, 3878, 1026, 1048, 21054, 1026, 1831, 1807, 4241, 31936, 1060, 10186, 7844, 1054, 5978, 1060, 1641, 4317, 8194, 1114, 28206, 20, 15576, 7475, 1026, 9795, 1187, 6543, 1009, 3237, 6405, 1411, 7564, 1005, 14911, 1566, 1836, 8354, 5339, 1026, 4248, 1132, 21123, 25322, 1026, 2269, 1187, 9957, 1229, 1124, 4268, 1596, 10549, 2537, 1312, 1005, 1006, 16662, 5530, 1195, 5791, 8140, 20, 10662, 1294, 1646, 26914, 1592, 1043, 1026, 19603, 1566, 9900, 24144, 1599, 1620, 7444, 2318, 1020, 7102, 1077, 1072, 2386, 13090, 6897, 27376, 5754, 4811, 2644, 1213, 12271, 17848, 1060, 1641, 4317, 8194, 20, 12662, 1161, 1159, 1006, 5530, 4799, 1060, 16662, 1620, 4548, 20, 8601, 1384, 10185, 20237, 1495, 2574, 1557, 5626, 1026, 7414, 1009, 7974, 7537, 1049, 4316, 1009, 7564, 1106, 9767, 1392, 18338, 27224, 1257, 10858, 10186, 7844, 3886, 2376, 14197, 2561, 1443, 3220, 1005, 28392, 1333, 3133, 1476, 1020, 18976, 7851, 17608, 3517, 1009, 3584, 9898, 18478, 1009, 24169, 18195, 1054, 3584, 9898, 1054, 10321, 1, 1138, 24908, 1009, 4429, 1061, 21393, 1318, 3509, 24908, 1009, 4833, 12127, 4932, 5389, 1189, 7068, 8310, 91, 23580, 92, 1061, 1732, 1206, 8310, 91, 1009, 4833, 1842, 18006, 1349, 1325, 11073, 1114, 9130, 19866, 1060, 3583, 1060, 22827, 1009, 4429, 1061, 21393, 10992, 1278, 1114, 25138, 1009, 14237, 8107, 6370, 1213, 12037, 5389, 1189, 2673, 1009, 1163, 2234, 29614, 1114, 3806, 16783, 1049, 4091, 9823, 2645, 1500, 71, 13, 82, 4091, 2732, 1321, 20192, 24908, 1096, 9004, 1188, 1357, 8558, 27683, 2012, 1009, 4429, 1061, 1732, 5801, 4395, 1224, 3649, 2845, 1054, 9856, 2023, 15121, 19392, 2257, 1371, 13535, 1006, 1224, 7633, 1114, 16783, 1060, 11794, 73, 2166, 1009, 1871, 1048, 1132, 23544, 1026, 18873, 7682, 1159, 3357, 1009, 8506, 28913, 1043, 1026, 24908, 1009, 11446, 2929, 166, 1016, 1005, 18965, 1557, 5434, 1068, 10995, 1006, 1224, 3583, 1006, 1118, 6302, 1776, 2268, 1668, 2269, 9011, 2923, 11347, 3830, 24025, 1679, 1557, 16636, 1005, 7893, 14972, 1006, 12124, 1049, 4091, 9823, 1068, 1006, 1224, 7633, 24135, 1658, 11129, 1096, 24216, 1008, 2644, 22042, 1005, 11214, 3957, 1213, 2790, 3184, 1049, 7538, 20, 1482, 1578, 9132, 3599, 7859, 18, 1043, 1006, 9097, 1009, 3357, 19713, 13228, 1043, 1044, 10008, 1009, 1782, 1025, 23171, 11724, 1118, 1044, 1064, 1432, 1013, 1009, 17718, 4541, 1048, 1195, 21041, 1054, 8931, 24, 1118, 1094, 1009, 1068, 76, 5949, 20324, 1058, 28834, 1079, 1044, 2666, 1009, 31316, 4706, 11213, 17560, 1005, 1044, 15517, 1017, 2129, 168, 1722, 7646, 1043, 31316, 152, 1009, 17609, 25473, 1009, 1871, 1048, 1224, 9097, 1516, 1009, 3357, 12737, 1043, 23741, 25473, 1005, 1738, 3485, 1161, 1006, 1752, 1487, 4686, 2286, 14393, 1058, 10082, 15473, 2923, 1005, 1054, 20600, 1195, 1049, 6523, 1009, 1094, 1015, 1336, 1692, 29457, 10257, 4405, 3510, 1140, 1114, 1751, 3596, 1060, 11129, 20, 1482, 20646, 2962, 5035, 1094, 26579, 7151, 15142, 16030, 1549, 1005, 1006, 8116, 1060, 7442, 24166, 1126, 5674, 1157, 1006, 9097, 1009, 1738, 3485, 1161, 12737, 1005, 13228, 1054, 2872, 1164, 2106, 1005, 19151, 1094, 5514, 1009, 2128, 16694, 1028, 13881, 6997, 1766, 3322, 1010, 20607, 1048, 3684, 20234, 1648, 1826, 9021, 1166, 1118, 1044, 28372, 1009, 12923, 1030, 17712, 1728, 4670, 1183, 1044, 1116, 1212, 7606, 1188, 20447, 74, 5701, 1322, 1006, 22827, 3552, 6317, 1048, 2947, 9900, 1268, 17458, 1140, 1060, 26594, 11747, 1357, 6640, 1187, 13873, 6097, 1708, 1049, 11029, 1005, 7921, 2286, 1569, 18179, 18477, 1371, 1094, 9371, 1009, 23575, 1068, 5978, 1060, 22827, 1187, 8332, 1009, 1359, 89, 1480, 6832, 2223, 24559, 1455, 7545, 1027, 1481, 1400, 1132, 29594, 1596, 1009, 8003, 1233, 11950, 16066, 1049, 4577, 1060, 9371, 2111, 2923, 1114, 3649, 1049, 24908, 3818, 2310, 1537, 29938, 1009, 4833, 12127, 1198, 8310, 1010, 1131, 1016, 1410, 1092, 1728, 16071, 4395, 92, 1061, 1732, 1940, 1024, 8474, 1060, 4573, 22086, 15388, 1009, 1578, 9132, 3564, 2234, 2681, 1, 25751, 4242, 14626, 3258, 3420, 15481, 1014, 3306, 2675, 9129, 1100, 1422, 1009, 3149, 1009, 8379, 1349, 4485, 1159, 4242, 14626, 15481, 1870, 1096, 1094, 5958, 1009, 4132, 1064, 6742, 5291, 1432, 6605, 3829, 7587, 1257, 14141, 14626, 15481, 1014, 1096, 5380, 1049, 4472, 86, 8865, 1009, 12178, 3646, 11308, 22146, 15481, 1870, 1005, 1060, 30427, 24242, 7015, 3258, 92, 1667, 1537, 2202, 14070, 1072, 4843, 6571, 1054, 7127, 1005, 12081, 7154, 1118, 1044, 1901, 1054, 8462, 1072, 1901, 7715, 1511, 2276, 2131, 1079, 1068, 1044, 3129, 1072, 7335, 1009, 1063, 19826, 1145, 7421, 11494, 11315, 1049, 5979, 3546, 17264, 4733, 5115, 1026, 21455, 2845, 1224, 3560, 1054, 6747, 1159, 1006, 4575, 8485, 1017, 10774, 1026, 2011, 1054, 1063, 19826, 1145, 7421, 11494, 10083, 1054, 1734, 4965, 20978, 1068, 1006, 4132, 22640, 1159, 1307, 15210, 1005, 11752, 10590, 2231, 4719, 23314, 1847, 13959, 3057, 2046, 17593, 19605, 17307, 1068, 3047, 11601, 13429, 1077, 1054, 3560, 4750, 18352, 1257, 4053, 620, 20390, 32, 11752, 10590, 2231, 4719, 37, 2794, 6113, 1009, 28907, 15, 34, 5, 4053, 620, 17816, 32, 1307, 15210, 2794, 6113, 1009, 28907, 1308, 22022, 32, 23594, 5656, 1014, 1175, 2332, 1344, 1568, 76, 1169, 1128, 153, 90, 1248, 2794, 6113, 1009, 28907, 1308, 4161, 32, 2561, 4138, 2807, 1014, 1245, 1088, 675, 2794, 6113, 1009, 28907, 1308, 3973, 620, 22424, 32, 1063, 19826, 1145, 13887, 4139, 21401, 1623, 21554, 26937, 1009, 3032, 6577, 1009, 8277, 21074, 1, 1138, 1156, 61, 21835, 13915, 13826, 12492, 1096, 1044, 3479, 1009, 5908, 1009, 3961, 4458, 3467, 1048, 11512, 1006, 9050, 3399, 26070, 1683, 20161, 5469, 48, 54, 61, 1565, 9788, 61, 21835, 8, 1096, 1026, 1251, 7367, 1714, 1049, 9295, 1009, 2671, 1060, 1144, 48, 54, 24622, 1026, 9318, 20161, 10322, 11697, 5953, 1138, 3479, 1195, 21423, 1054, 2224, 1009, 3049, 1009, 20469, 1054, 1044, 30077, 6568, 1060, 1144, 48, 54, 31279, 1138, 1156, 61, 21835, 13915, 13826, 12492, 1160, 1096, 1026, 3872, 3479, 1009, 8411, 1395, 1046, 89, 1048, 1096, 18087, 1114, 1144, 48, 54, 61, 33, 1026, 1156, 61, 21835, 13050, 31433, 26854, 13915, 13826, 12492, 1318, 1096, 24752, 16364, 1357, 1144, 48, 54, 31279, 1551, 2303, 1043, 1026, 2788, 3092, 1060, 1144, 48, 54, 24622, 1026, 1156, 61, 21835, 13915, 13826, 12492, 1096, 28630, 1159, 9788, 61, 21835, 31433, 1313, 7808, 7852, 1406, 2097, 1026, 13050, 31433, 26854, 13915, 13826, 12492, 1096, 5077, 9788, 61, 21835, 13439, 13915, 7852, 2100, 14935, 1044, 7248, 1009, 3961, 15213, 1026, 3479, 1096, 14428, 1159, 3435, 1009, 1044, 3435, 10741, 13644, 2270, 2034, 5376, 1009, 3479, 13876, 3587, 1054, 4203, 7548, 1402, 1357, 1144, 48, 54, 31279, 33, 3702, 1026, 3479, 3241, 21773, 1009, 6000, 1657, 2156, 2624, 1054, 4203, 1048, 1160, 2829, 1060, 1144, 48, 54, 24622, 1264, 1195, 10403, 1188, 1054, 2754, 2089, 18981, 5801, 3367, 1347, 1048, 1026, 3479, 4219, 1895, 1599, 1006, 3399, 26070, 1683, 20161, 7217, 1026, 1144, 30732, 11631, 8724, 13915, 13826, 12492, 18, 1044, 3479, 8901, 6934, 1054, 7365, 18256, 1005, 1026, 13953, 44, 9318, 13915, 13826, 12492, 18, 1044, 3479, 1043, 12186, 1060, 5488, 20161, 17551, 7884, 18, 23365, 6892, 1043, 1006, 5966, 1009, 2011, 1043, 1006, 13953, 44, 5044, 18026, 5977, 5322, 1596, 1344, 10753, 11559, 1154, 1005, 1128, 5659, 19631, 26377, 27840, 1803, 1048, 13685, 1412, 9203, 1705, 1816, 79, 1005, 1067, 7957, 79, 22570, 71, 1103, 15285, 1463, 1852, 1009, 1044, 8552, 1068, 5587, 1026, 7248, 1054, 2224, 1009, 3049, 1009, 20469, 1054, 1044, 3366, 1213, 5595, 1049, 1144, 48, 54, 31279, 3423, 1060, 1144, 48, 54, 24622, 1026, 1156, 61, 21835, 13915, 13826, 12492, 1318, 1195, 1201, 13232, 1463, 18981, 1187, 2138, 2365, 5488, 12492, 20161, 8847, 41, 61, 15, 24831, 1280, 22992, 15, 1072, 2738, 1060, 3832, 1009, 8029, 1005, 18320, 1144, 3744, 1568, 17415, 20161, 4139, 8950, 15, 1054, 7905, 1005, 1114, 9050, 29599, 1009, 1541, 3208, 2687, 3694, 1535, 1117, 2402, 3747, 1009, 4782, 1107, 4663, 1013, 1054, 4483, 2286, 2595, 1009, 3268, 1009, 9861, 1054, 23971, 1324, 14241, 1128, 12666, 1056, 1005, 1574, 9603, 13685, 1412, 1207, 7259, 7403, 1128, 1685, 78, 20771, 1005, 3492, 2914, 20544, 22488, 1046, 1154, 1068, 10889, 1235, 12035, 13121, 2357, 1054, 22106, 1482, 1101, 1009, 3353, 1009, 7269, 1195, 5447, 1044, 3479, 1957, 1468, 1009, 8411, 1395, 5984, 1511, 1128, 12666, 1056, 1005, 1574, 9603, 17156, 7880, 1009, 1098, 1974, 3843, 1344, 15390, 1342, 4070, 1005, 1128, 1185, 79, 15030, 15041, 13685, 1412, 1124, 5908, 1009, 1941, 10589, 79, 25688, 1889, 1005, 2494, 1684, 19631, 24970, 1046, 5742, 1005, 30257, 14648, 1005, 19812, 1020, 5122, 9968, 1054, 1094, 3286, 11243, 19, 5936, 1795, 1358, 1068, 1058, 30844, 1132, 4181, 18026, 20, 1138, 2670, 1060, 1144, 48, 54, 24622, 16941, 19457, 1705, 1816, 1803, 5404, 1043, 1026, 13121, 1009, 1128, 12666, 1056, 1005, 1574, 9603, 1054, 1158, 1009, 3042, 1009, 7269, 1846, 1009, 1128, 12666, 1056, 1005, 1574, 9603, 1808, 3890, 1009, 1663, 22106, 2878, 1182, 91, 22488, 1056, 4396, 79, 1005, 15038, 10972, 15789, 1017, 1803, 1048, 13685, 1412, 1344, 15390, 1342, 4070, 1005, 15030, 15041, 1054, 2128, 1009, 3353, 1009, 7269, 1068, 1058, 30844, 1132, 1156, 61, 21835, 13915, 13826, 9956, 1678, 1596, 26068, 1159, 1156, 61, 21835, 13915, 13826, 9956, 89, 1357, 1144, 48, 54, 61, 1054, 3771, 1009, 3042, 1009, 4265, 2286, 7905, 2045, 21657, 6026, 1016, 15102, 15917, 13826, 12808, 1054, 3186, 1009, 3353, 1009, 7905, 1463, 15414, 1049, 6449, 1049, 2868, 1009, 4132, 24281, 1060, 1128, 8950, 1054, 2595, 1009, 3353, 1009, 7905, 1128, 8950, 5570, 4046, 23556, 1054, 1094, 3187, 1723, 1795, 1358, 20, 20324, 1006, 1144, 48, 54, 61, 16394, 1094, 8239, 9301, 1077, 1048, 1857, 1160, 24752, 1129, 1412, 1006, 5978, 3048, 1006, 5042, 1009, 3479, 2170, 1118, 3005, 1160, 12975, 1648, 1026, 17235, 2270, 5126, 17692, 1006, 12975, 1006, 13826, 12808, 1159, 18026, 9227, 1005, 27763, 1048, 1006, 4958, 5978, 1009, 3479, 2909, 1187, 2276, 18026, 13826, 12808, 1005, 9090, 1178, 24752, 1129, 1140, 1357, 1144, 48, 54, 31279, 1482, 1782, 1009, 3383, 1009, 7905, 1006, 1144, 48, 54, 61, 22651, 2143, 14627, 1009, 8324, 15311, 1048, 2364, 3586, 3307, 1819, 2045, 21657, 6026, 1016, 1129, 1009, 1106, 1892, 1093, 16754, 1093, 1005, 13683, 10240, 1159, 1132, 1156, 61, 21835, 13915, 13826, 9956, 1678, 5700, 1026, 13121, 3092, 14592, 7577, 29092, 2060, 95, 31532, 1128, 12666, 1056, 5474, 24986, 1026, 8812, 1009, 1184, 1057, 7577, 1159, 1044, 23599, 31297, 1043, 1049, 96, 1802, 1766, 14219, 1057, 7577, 2627, 7577, 1009, 1128, 12666, 1056, 2058, 1046, 3130, 31, 4325, 7872, 1026, 1048, 1096, 1712, 1049, 1048, 2073, 2143, 12347, 3320, 1424, 4234, 17235, 2585, 1006, 2759, 1009, 1128, 12666, 1056, 1005, 1067, 2746, 7403, 13446, 80, 1549, 8491, 1026, 8812, 1009, 1184, 1057, 7577, 1159, 22106, 1128, 12666, 1056, 1005, 2605, 9052, 2060, 1574, 9603, 1225, 3251, 17235, 2585, 25189, 20245, 1839, 2250, 30371, 1586, 1049, 1048, 2073, 2924 ]

[ 1072, 1622, 1043, 20266, 1009, 7962, 1053, 1364, 1230, 1876, 1072, 4367, 10648, 1005, 16051, 1009, 1622, 3267, 1068, 18518, 1680, 1159, 1006, 3902, 1049, 2743, 1009, 1561, 11193, 1272, 2328, 1049, 2631, 4818, 10268, 17203, 1421, 1230, 1005, 10374, 4631, 1072, 4367, 15206, 22986, 1072, 2550, 1962, 30835, 4631, 1060, 1119, 4550, 1104, 6579, 1049, 7029, 4019, 2769, 6603, 2651, 1010, 10582, 11259, 1677, 1989, 3041, 3249, 5035, 1006, 6640, 1009, 1734, 9134, 4271, 10681, 1347, 1049, 3614, 1046, 1052, 13941, 15, 1114, 29359, 1060, 3568, 2070, 1126, 1054, 2088, 2180, 10245, 9454, 1006, 5265, 24070, 1365, 1857, 8385, 2303, 1043, 15554, 1005, 1082, 12706, 1046, 15239, 5756, 6476, 1114, 1871, 1009, 21293, 1006, 3568, 2070, 1126, 1309, 1160, 1094, 10510, 1060, 6973, 2357, 33, 9905, 1371, 1026, 3489, 1821, 22008, 1365, 1132, 7114, 32, 4531, 1026, 1561, 1094, 1807, 3359, 10934, 1063, 1201, 2101, 1271, 17479, 19919, 1049, 7838, 11106, 8869, 1060, 5342, 1009, 8490, 1031, 10124, 1005, 1026, 21889, 1049, 3844, 12000, 11519, 1132, 6356, 1544, 1060, 3568, 12531, 1006, 10218, 1048, 1026, 3090, 6668, 1589, 1657, 1009, 6863, 17418, 1005, 1048, 1026, 3439, 1054, 3902, 3615, 1096, 8828, 6603, 8823, 3145, 1060, 10374, 6579, 8244, 2644, 1114, 6222, 1009, 3398, 2410, 2585, 1054, 17049, 1026, 1561, 1009, 3825, 14623, 1009, 4639, 1005, 1009, 7401, 30180, 7979, 1213, 8703, 11747, 15798, 2034, 3145, 17634, 1060, 10374, 6579, 1049, 4961, 3267, 1058, 11970, 1040, 1294, 4496, 17973, 32, 13822, 1561, 1096, 1717, 1006, 4865, 2983, 1271, 9423, 1009, 1622, 1005, 1006, 6389, 1049, 8278, 1039, 85, 4750, 33, 18539, 2950, 1712, 1234, 1026, 4758, 1009, 1044, 6402, 1712, 1976, 1178, 1235, 1622, 1009, 4497, 33, 27549, 3090, 1096, 27493, 1068, 1006, 5545, 33, 1422, 15, 15567, 1026, 1681, 2582, 6810, 1096, 6443, 1009, 1664, 33, 1487, 15, 3568, 12531, 1976, 1178, 7933, 33, 1675, 15, 6937, 1271, 25503, 17831, 1365, 16567, 1005, 1681, 2582, 6087, 1402, 33, 1779, 15, 26208, 1049, 6502, 1009, 28198, 4819, 33, 1799, 15, 14946, 1365, 3227, 3568, 1005, 9482, 1658, 10374, 6579, 1049, 3041, 2569, 1118, 3489, 5275, 1006, 3621, 1049, 1561, 2453, 1049, 18035, 1876, 1005, 1160, 1054, 16797, 11713, 1100, 29921, 8348, 1356, 23666, 1060, 21652, 5064, 3752, 1425, 1291, 1009, 6285, 1005, 10874, 1357, 12460, 1463, 6298, 1043, 1132, 11333, 1356, 2480, 1041, 1303, 1009, 6298, 1043, 1734, 10907, 2871, 1049, 27650, 1005, 1357, 6517, 1009, 26451, 1365, 15338, 1065, 1669, 1876, 1005, 3743, 24041, 1669, 1876, 2286, 2869, 1006, 1989, 5915, 2214, 2037, 2097, 1026, 3743, 24041, 1669, 1876, 1836, 12583, 1006, 5729, 1009, 4272, 3568, 9482, 5178, 1005, 1009, 10374, 6579, 27375, 8772, 1711, 1124, 2688, 1026, 1561, 1160, 3012, 8086, 1054, 9104, 15338, 1065, 1669, 1711, 1026, 15338, 1065, 1669, 1876, 1058, 2852, 1393, 1679, 9200, 5850, 1049, 7751, 1482, 9157, 1347, 1324, 15907, 16529, 1048, 1006, 1119, 2321, 30334, 7386, 10400, 1177, 1271, 17105, 8833, 1049, 2380, 17072, 12305, 10172, 1094, 6973, 8828, 1009, 20001, 2290, 15338, 1065, 1669, 5120, 17087, 1043, 1132, 3825, 1184, 26817, 2286, 3902, 1009, 1094, 3568, 12531, 3711, 27107, 1026, 1561, 21631, 8826, 1952, 76, 25423, 1569, 6298, 1043, 4320, 27622, 1620, 1048, 6753, 4595, 1054, 2088, 9677, 1159, 3836, 23028, 30802, 1324, 1924, 28045, 14241, 4149, 12890, 13804, 22690, 5559, 1411, 3825, 2952, 1573, 1005, 6442, 14559, 3424, 1482, 2869, 1006, 2122, 2046, 5216, 1096, 2512, 1006, 4380, 1271, 17853, 5836, 1202, 1024, 2227, 1005, 1049, 18443, 1876, 8042, 1043, 8258, 10729, 1157, 30162, 1463, 6298, 1049, 1561, 1043, 2062, 2223, 7630, 1026, 1561, 3241, 22323, 3032, 5645, 4380, 1072, 19392, 5756, 18, 1043, 1026, 4248, 31587, 1049, 2417, 18443, 7407, 1482, 23935, 1026, 1561, 8773, 5035, 1717, 1026, 18443, 1876, 1005, 11056, 3597, 1009, 15401, 1776, 2268, 1006, 4380, 1058, 19159, 1043, 1006, 11485, 1187, 1062, 1753, 1010, 1054, 8258, 1846, 1060, 1428, 1687, 1058, 22322, 1271, 1502, 1550, 4065, 5700, 16520, 15969, 2893, 1780, 1609, 10188, 8536, 1026, 23666, 1060, 3621, 1009, 1688, 1038, 1105, 2027, 1583, 20453, 89, 6928, 2950, 1213, 8209, 17481, 19, 1020, 6928, 9955, 6718, 1006, 2997, 1712, 3790, 1006, 6254, 2597, 9639, 1324, 1054, 3484, 1233, 4716, 1009, 15140, 1124, 25525, 1005, 3871, 17700, 1009, 12050, 1213, 7751, 21203, 3960, 3516, 2586, 8665, 13387, 1026, 4465, 1060, 15204, 1043, 9360, 1005, 1026, 2303, 1009, 5554, 1009, 12050, 1043, 1026, 15901, 7302, 12694, 1054, 25672, 2154, 9296, 17091, 1006, 10830, 1006, 3583, 1009, 3195, 7178, 1054, 2161, 11633, 1213, 12050, 13082, 5682, 23893, 1043, 1132, 2138, 2365, 16153, 6298, 1043, 1132, 4620, 3634, 1178, 3675, 1580, 2453, 1009, 1044, 4025, 26656, 1063, 3578, 1134, 1199, 1058, 1173, 13196, 1393, 19257, 3182, 1068, 1026, 29786, 1876, 3826, 4134, 10696, 21945, 1157, 11465, 17448, 1758, 1043, 1132, 23465, 3423, 2668, 1124, 5376, 28756, 3795, 1005, 1428, 1041, 3795, 1114, 5337, 5092, 3758, 1648, 1006, 17070, 1149, 1365, 1132, 1791, 13705, 3322, 6063, 1124, 3905, 1009, 17134, 4016, 11346, 1318, 1006, 1119, 2703, 8765, 1144, 1483, 3529, 24750, 1712, 19701, 1187, 11333, 24124, 6517, 1009, 8823, 1054, 4732, 1009, 3227, 1006, 28767, 13631, 7084, 5010, 1063, 12447, 1060, 7116, 1072, 14230, 1005, 1072, 14125, 1005, 1006, 4087, 1009, 3179, 3781, 6451, 1114, 8890, 1005, 1072, 17275, 2601, 1202, 1026, 6980, 1054, 1048, 1026, 1561, 1516, 1044, 19580, 3654, 1068, 2785, 11549, 1006, 2413, 9505, 4666, 4025, 1048, 8490, 16827, 2649, 4719, 1006, 3621, 5092, 1187, 12685, 7767, 1054, 2869, 1679, 4620, 15311, 1006, 3902, 1009, 6717, 19934, 1271, 5629, 1187, 1791, 13705, 1305, 1048, 1043, 1616, 1058, 1329, 7773, 1044, 26054, 17962, 1043, 1132, 4620, 20660, 1124, 6298, 1043, 1132, 4620, 18965, 20209, 1094, 15181, 1072, 12381, 1124, 9814, 3905, 1009, 1173, 1981, 1620, 26875, 20490, 1021, 1921, 1049, 1128, 52, 6806, 3191, 1087, 12353, 1726, 25525, 1009, 23519, 4380, 15257, 1005, 17522, 1009, 1030, 13405, 8249, 15, 1005, 1006, 3592, 1058, 2058, 1393, 1094, 26935, 1006, 17399, 1049, 1570, 19514, 8954, 1009, 14219, 1068, 1761, 96, 5074, 16694, 1028, 13881, 1392, 1054, 9689, 5682, 23893, 1043, 1006, 3836, 14355, 3367, 1119, 2321, 12860, 22923, 4909, 1114, 3836, 6468, 5949, 2034, 6298, 2829, 19440, 1016, 1043, 2068, 1072, 1225, 1017, 1009, 1048, 1026, 1561, 4219, 1044, 1086, 28515, 1285, 1187, 4620, 1114, 2413, 33, 2257, 1371, 1006, 3289, 1009, 1044, 1561, 4626, 3461, 1009, 1622, 31771, 1040, 6853, 3821, 23901, 2893, 1051, 1440, 26389, 7072, 1009, 11061, 5051, 2535, 1006, 8797, 28888, 4359, 7765, 1026, 1622, 1072, 17275, 6424, 20578, 8940, 4998, 29857, 1349, 4905, 2923, 1026, 2671, 4011, 1009, 10075, 1132, 23676, 7114, 1114, 21904, 1054, 16516, 1005, 1072, 14125, 1054, 2226, 2308, 13078, 1393, 10188, 4682, 1006, 7507, 1009, 4379, 1006, 17314, 1009, 12685, 10233, 1020, 1213, 7838, 1005, 1006, 19701, 1712, 5473, 3825, 1986, 1132, 23676, 6603, 6298, 1043, 1006, 3836, 14355, 1058, 2068, 1412, 1072, 15338, 1065, 1669, 1876, 1005, 6011, 1159, 7963, 1006, 17399, 1049, 27754, 1006, 15204, 6085, 1005, 1006, 16908, 1009, 17274, 9790, 1068, 28386, 1094, 14279, 15204, 6085, 1005, 4245, 3336, 1138, 1561, 1195, 1717, 1006, 4173, 1009, 1044, 12698, 1424, 1036, 1005, 13029, 19077, 1006, 21520, 25077, 9077, 1685, 1009, 13293, 13016, 1071, 2982, 2982, 16452, 6603, 6298, 1043, 1006, 8890, 5334, 3862, 1202, 1060, 26733, 1233, 8761, 7863, 6836, 1271, 17448, 1758, 2950, 7019, 1192, 91, 1711, 6379, 156, 1393, 1124, 6298, 1043, 1026, 18220, 1005, 3611, 3966, 1233, 4716, 5092, 1009, 3894, 1068, 3647, 1235, 4758, 10293, 1711, 1048, 1836, 3027, 8272, 2691, 30188, 10973, 7278, 5756, 4306, 7843, 2130, 1365, 1132, 1791, 13705, 7008, 1054, 2869, 1006, 2122, 27115, 2118, 1009, 3047, 11601, 15, 8988, 1257, 14569, 4826, 3924, 18, 1106, 1256, 6365, 1535, 1539, 71, 1049, 6220, 10787, 15031, 1764, 13858, 2611, 4826, 6806, 4265, 1059, 1082, 47, 63, 3642, 53, 3924, 18, 6015, 1283, 1163, 2581, 130, 2982, 60, 14257, 1313, 1256, 1766, 7114, 1114, 3568, 12531, 5092, 1967, 4655, 3406, 5205, 1565, 10097, 11609, 6034, 1719, 3368, 17107, 8856, 22384, 12505, 9899, 1059, 14799, 30074, 18, 7833, 1205, 1256, 1063, 10374, 6579, 1049, 4961, 3267, 32, 1006, 3568, 12531, 1049, 2671, 8490, 1031, 3158, 4284, 10980, 32, 10812, 1060, 26625, 45, 6822, 5238, 1059, 1205, 9703, 6996, 2321, 5529, 11330, 1134, 1256, 1063, 3568, 12531, 1049, 2671, 5051, 20, 10787, 15031, 4284, 10980, 32, 10812, 1060, 26625, 45, 6822, 4864, 1059, 26953, 23893, 1141, 11869, 1049, 1561, 2503, 1041, 8622, 5051, 1072, 1561, 1967, 4655, 9172, 4705, 1308, 2814, 6176, 8490, 16827, 1, 7384, 1196, 28289, 8588, 4213, 4334, 3070, 14184, 3771, 1009, 3370, 1009, 21253, 1711, 7365, 18256, 1158, 1009, 2436, 1009, 10285, 15, 1195, 1094, 30263, 1005, 5958, 9046, 18, 4485, 1118, 1663, 1751, 1049, 7335, 3462, 1049, 10225, 6567, 10890, 1189, 17166, 10606, 4872, 1324, 1049, 1428, 2521, 1751, 1365, 13912, 1005, 2226, 3537, 675, 8588, 4213, 4857, 1026, 29616, 6904, 1118, 1224, 10647, 1072, 2868, 1005, 1058, 13005, 1792, 1159, 1094, 6627, 16057, 6720, 1072, 6490, 1060, 8907, 1187, 2138, 2365, 7587, 2324, 22169, 1054, 25059, 14184, 8588, 4213, 1516, 1009, 2531, 7058, 2275, 5024, 10109, 1009, 2306, 1516, 1493, 4500, 1126, 1006, 29765, 1043, 8692, 1068, 3047, 11601, 1068, 9035, 1006, 28538, 1060, 25146, 15431, 12081, 8825, 1357, 2828, 1009, 7144, 1122, 4358, 1309, 1160, 1058, 14070, 7381, 25237, 1044, 3041, 15075, 1072, 8063, 7187, 1072, 22091, 8588, 4213, 12161, 1006, 3047, 11601, 1054, 22289, 1571, 2521, 3560, 1072, 7661, 20, 4116, 2790, 1009, 6525, 9502, 1007, 2196, 28160, 95, 1574, 1506, 1005, 3753, 5045, 6488, 1803, 2521, 1751, 1049, 7335, 1049, 2045, 9585, 15867, 1162, 1081, 14645, 1207, 2356, 20, 1776, 1592, 4183, 1195, 18936, 1118, 1142, 24137, 6873, 89, 1068, 14368, 1026, 7335, 1009, 6559, 1049, 10890, 1189, 17166, 10606, 4872, 1324, 1049, 1428, 2521, 1751, 1365, 13912, 1005, 2226, 3537, 1138, 2417, 2793, 3201, 1159, 6234, 1252, 1587, 12224, 1234, 29922, 11802, 7091, 1248, 8, 1071, 3885, 30854, 1683, 1012, 1010, 1972, 1026, 11794, 1304, 1144, 4080, 1565, 26953, 1019, 4213, 6154, 4857, 31146, 2590, 1118, 2350, 1009, 1569, 25456, 1159, 1006, 11633, 5143, 12781, 1692, 18639, 3496, 1019, 18060, 13231, 4987, 11191, 1226, 1058, 14067, 1054, 11865, 1043, 1026, 6159, 1005, 4148, 30455, 16490, 1870, 1043, 2306, 2521, 4533, 1159, 1063, 1119, 3556, 1009, 18629, 33, 6757, 10709, 6459, 81, 2196, 3316, 5059, 12679, 1054, 2193, 5214, 1005, 18198, 1009, 6088, 2188, 4348, 22507, 12683, 13442, 1487, 1646, 5738, 9563, 1009, 10553, 1072, 9053, 3335, 1043, 1657, 12336, 1646, 18352, 1257, 11233, 1175, 1207, 2363, 1148, 74, 1207, 15008, 1263, 18907, 12041, 1175, 8463, 1248, 1283, 5798, 81, 30293, 11865, 1175, 2045, 1313, 18850, 1098, 4899, 5, 13656, 1175, 6757, 10709, 6459, 10709, 5, 8911, 1175, 17845, 26713, 31048, 9619, 8042, 29092, 1036, 1017, 1573, 1187, 2138, 2365, 22728, 1187, 2138, 2365, 12287, 1049, 7335, 1049, 10890, 1189, 17166, 10606, 12464, 6577, 1009, 30800, 3141, 1019, 19796, 7384, 1196, 17647, 1054, 10285, 1, 1138, 7341, 1060, 11035, 1096, 1094, 2236, 8006, 1009, 17092, 3106, 60, 23245, 1060, 1641, 5092, 1009, 16502, 17237, 3861, 1049, 2497, 1009, 3584, 6790, 5949, 1424, 2236, 1009, 1307, 3162, 26, 4673, 1025, 0, 18, 1325, 5062, 10677, 1250, 1114, 6317, 14715, 5046, 1060, 4930, 1294, 9789, 1060, 6586, 12912, 4568, 24747, 8923, 1505, 1058, 2594, 1024, 1114, 2258, 1087, 1239, 1765, 1637, 1060, 12237, 1207, 1421, 6176, 2397, 5121, 3134, 1044, 1025, 18279, 1009, 1571, 1058, 1298, 24342, 1024, 1989, 20668, 29822, 1680, 1159, 1006, 1380, 1226, 14715, 16030, 1549, 1009, 24169, 1658, 14345, 2612, 1043, 2236, 1009, 27077, 1870, 17269, 1009, 19918, 11391, 1068, 2120, 1223, 2106, 3428, 1009, 16672, 3154, 1243, 1009, 7147, 5686, 2230, 1153, 1678, 9559, 1005, 1372, 1273, 1365, 1734, 6486, 20, 4490, 6496, 1325, 1006, 5333, 1060, 5744, 26605, 1049, 7341, 1060, 11035, 3106, 5071, 23245, 5801, 3367, 2346, 1342, 1060, 16575, 17435, 23611, 1049, 2529, 1035, 10439, 8015, 23611, 1049, 10786, 1177, 1206, 23611, 1049, 14413, 2829, 5944, 13156, 1049, 2386, 1571, 5474, 1325, 11073, 1026, 7341, 1060, 2397, 5121, 8244, 1435, 1009, 3011, 1394, 30167, 1322, 1044, 5049, 5781, 1484, 13126, 1667, 28026, 2198, 1010, 1233, 2236, 1836, 11073, 1026, 18663, 1009, 14464, 2149, 6418, 5056, 1175, 1094, 1271, 13772, 1049, 2743, 4894, 1072, 16355, 19977, 1005, 1026, 1134, 8540, 1049, 1142, 5558, 1967, 1839, 3406, 3502, 1565, 4116, 3821, 2419, 18146, 1026, 4284, 1072, 5603, 17367, 17959, 1132, 27540, 5425, 1124, 23714, 1009, 1244, 4667, 1005, 1883, 1273, 1009, 1057, 6857, 1005, 10610, 1166, 1009, 9129, 4717 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1072, 1622, 1043, 20266, 1009, 7962, 1053, 1364, 1230, 1876, 1072, 4367, 10648, 1005, 16051, 1009, 1622, 3267, 1068, 18518, 1680, 1159, 1006, 3902, 1049, 2743, 1009, 1561, 11193, 1272, 2328, 1049, 2631, 4818, 10268, 17203, 1421, 1230, 1005, 10374, 4631, 1072, 4367, 15206, 22986, 1072, 2550, 1962, 30835, 4631, 1060, 1119, 4550, 1104, 6579, 1049, 7029, 4019, 2769, 6603, 2651, 1010, 10582, 11259, 1677, 1989, 3041, 3249, 5035, 1006, 6640, 1009, 1734, 9134, 4271, 10681, 1347, 1049, 3614, 1046, 1052, 13941, 15, 1114, 29359, 1060, 3568, 2070, 1126, 1054, 2088, 2180, 10245, 9454, 1006, 5265, 24070, 1365, 1857, 8385, 2303, 1043, 15554, 1005, 1082, 12706, 1046, 15239, 5756, 6476, 1114, 1871, 1009, 21293, 1006, 3568, 2070, 1126, 1309, 1160, 1094, 10510, 1060, 6973, 2357, 33, 9905, 1371, 1026, 3489, 1821, 22008, 1365, 1132, 7114, 32, 4531, 1026, 1561, 1094, 1807, 3359, 10934, 1063, 1201, 2101, 1271, 17479, 19919, 1049, 7838, 11106, 8869, 1060, 5342, 1009, 8490, 1031, 10124, 1005, 1026, 21889, 1049, 3844, 12000, 11519, 1132, 6356, 1544, 1060, 3568, 12531, 1006, 10218, 1048, 1026, 3090, 6668, 1589, 1657, 1009, 6863, 17418, 1005, 1048, 1026, 3439, 1054, 3902, 3615, 1096, 8828, 6603, 8823, 3145, 1060, 10374, 6579, 8244, 2644, 1114, 6222, 1009, 3398, 2410, 2585, 1054, 17049, 1026, 1561, 1009, 3825, 14623, 1009, 4639, 1005, 1009, 7401, 30180, 7979, 1213, 8703, 11747, 15798, 2034, 3145, 17634, 1060, 10374, 6579, 1049, 4961, 3267, 1058, 11970, 1040, 1294, 4496, 17973, 32, 13822, 1561, 1096, 1717, 1006, 4865, 2983, 1271, 9423, 1009, 1622, 1005, 1006, 6389, 1049, 8278, 1039, 85, 4750, 33, 18539, 2950, 1712, 1234, 1026, 4758, 1009, 1044, 6402, 1712, 1976, 1178, 1235, 1622, 1009, 4497, 33, 27549, 3090, 1096, 27493, 1068, 1006, 5545, 33, 1422, 15, 15567, 1026, 1681, 2582, 6810, 1096, 6443, 1009, 1664, 33, 1487, 15, 3568, 12531, 1976, 1178, 7933, 33, 1675, 15, 6937, 1271, 25503, 17831, 1365, 16567, 1005, 1681, 2582, 6087, 1402, 33, 1779, 15, 26208, 1049, 6502, 1009, 28198, 4819, 33, 1799, 15, 14946, 1365, 3227, 3568, 1005, 9482, 1658, 10374, 6579, 1049, 3041, 2569, 1118, 3489, 5275, 1006, 3621, 1049, 1561, 2453, 1049, 18035, 1876, 1005, 1160, 1054, 16797, 11713, 1100, 29921, 8348, 1356, 23666, 1060, 21652, 5064, 3752, 1425, 1291, 1009, 6285, 1005, 10874, 1357, 12460, 1463, 6298, 1043, 1132, 11333, 1356, 2480, 1041, 1303, 1009, 6298, 1043, 1734, 10907, 2871, 1049, 27650, 1005, 1357, 6517, 1009, 26451, 1365, 15338, 1065, 1669, 1876, 1005, 3743, 24041, 1669, 1876, 2286, 2869, 1006, 1989, 5915, 2214, 2037, 2097, 1026, 3743, 24041, 1669, 1876, 1836, 12583, 1006, 5729, 1009, 4272, 3568, 9482, 5178, 1005, 1009, 10374, 6579, 27375, 8772, 1711, 1124, 2688, 1026, 1561, 1160, 3012, 8086, 1054, 9104, 15338, 1065, 1669, 1711, 1026, 15338, 1065, 1669, 1876, 1058, 2852, 1393, 1679, 9200, 5850, 1049, 7751, 1482, 9157, 1347, 1324, 15907, 16529, 1048, 1006, 1119, 2321, 30334, 7386, 10400, 1177, 1271, 17105, 8833, 1049, 2380, 17072, 12305, 10172, 1094, 6973, 8828, 1009, 20001, 2290, 15338, 1065, 1669, 5120, 17087, 1043, 1132, 3825, 1184, 26817, 2286, 3902, 1009, 1094, 3568, 12531, 3711, 27107, 1026, 1561, 21631, 8826, 1952, 76, 25423, 1569, 6298, 1043, 4320, 27622, 1620, 1048, 6753, 4595, 1054, 2088, 9677, 1159, 3836, 23028, 30802, 1324, 1924, 28045, 14241, 4149, 12890, 13804, 22690, 5559, 1411, 3825, 2952, 1573, 1005, 6442, 14559, 3424, 1482, 2869, 1006, 2122, 2046, 5216, 1096, 2512, 1006, 4380, 1271, 17853, 5836, 1202, 1024, 2227, 1005, 1049, 18443, 1876, 8042, 1043, 8258, 10729, 1157, 30162, 1463, 6298, 1049, 1561, 1043, 2062, 2223, 7630, 1026, 1561, 3241, 22323, 3032, 5645, 4380, 1072, 19392, 5756, 18, 1043, 1026, 4248, 31587, 1049, 2417, 18443, 7407, 1482, 23935, 1026, 1561, 8773, 5035, 1717, 1026, 18443, 1876, 1005, 11056, 3597, 1009, 15401, 1776, 2268, 1006, 4380, 1058, 19159, 1043, 1006, 11485, 1187, 1062, 1753, 1010, 1054, 8258, 1846, 1060, 1428, 1687, 1058, 22322, 1271, 1502, 1550, 4065, 5700, 16520, 15969, 2893, 1780, 1609, 10188, 8536, 1026, 23666, 1060, 3621, 1009, 1688, 1038, 1105, 2027, 1583, 20453, 89, 6928, 2950, 1213, 8209, 17481, 19, 1020, 6928, 9955, 6718, 1006, 2997, 1712, 3790, 1006, 6254, 2597, 9639, 1324, 1054, 3484, 1233, 4716, 1009, 15140, 1124, 25525, 1005, 3871, 17700, 1009, 12050, 1213, 7751, 21203, 3960, 3516, 2586, 8665, 13387, 1026, 4465, 1060, 15204, 1043, 9360, 1005, 1026, 2303, 1009, 5554, 1009, 12050, 1043, 1026, 15901, 7302, 12694, 1054, 25672, 2154, 9296, 17091, 1006, 10830, 1006, 3583, 1009, 3195, 7178, 1054, 2161, 11633, 1213, 12050, 13082, 5682, 23893, 1043, 1132, 2138, 2365, 16153, 6298, 1043, 1132, 4620, 3634, 1178, 3675, 1580, 2453, 1009, 1044, 4025, 26656, 1063, 3578, 1134, 1199, 1058, 1173, 13196, 1393, 19257, 3182, 1068, 1026, 29786, 1876, 3826, 4134, 10696, 21945, 1157, 11465, 17448, 1758, 1043, 1132, 23465, 3423, 2668, 1124, 5376, 28756, 3795, 1005, 1428, 1041, 3795, 1114, 5337, 5092, 3758, 1648, 1006, 17070, 1149, 1365, 1132, 1791, 13705, 3322, 6063, 1124, 3905, 1009, 17134, 4016, 11346, 1318, 1006, 1119, 2703, 8765, 1144, 1483, 3529, 24750, 1712, 19701, 1187, 11333, 24124, 6517, 1009, 8823, 1054, 4732, 1009, 3227, 1006, 28767, 13631, 7084, 5010, 1063, 12447, 1060, 7116, 1072, 14230, 1005, 1072, 14125, 1005, 1006, 4087, 1009, 3179, 3781, 6451, 1114, 8890, 1005, 1072, 17275, 2601, 1202, 1026, 6980, 1054, 1048, 1026, 1561, 1516, 1044, 19580, 3654, 1068, 2785, 11549, 1006, 2413, 9505, 4666, 4025, 1048, 8490, 16827, 2649, 4719, 1006, 3621, 5092, 1187, 12685, 7767, 1054, 2869, 1679, 4620, 15311, 1006, 3902, 1009, 6717, 19934, 1271, 5629, 1187, 1791, 13705, 1305, 1048, 1043, 1616, 1058, 1329, 7773, 1044, 26054, 17962, 1043, 1132, 4620, 20660, 1124, 6298, 1043, 1132, 4620, 18965, 20209, 1094, 15181, 1072, 12381, 1124, 9814, 3905, 1009, 1173, 1981, 1620, 26875, 20490, 1021, 1921, 1049, 1128, 52, 6806, 3191, 1087, 12353, 1726, 25525, 1009, 23519, 4380, 15257, 1005, 17522, 1009, 1030, 13405, 8249, 15, 1005, 1006, 3592, 1058, 2058, 1393, 1094, 26935, 1006, 17399, 1049, 1570, 19514, 8954, 1009, 14219, 1068, 1761, 96, 5074, 16694, 1028, 13881, 1392, 1054, 9689, 5682, 23893, 1043, 1006, 3836, 14355, 3367, 1119, 2321, 12860, 22923, 4909, 1114, 3836, 6468, 5949, 2034, 6298, 2829, 19440, 1016, 1043, 2068, 1072, 1225, 1017, 1009, 1048, 1026, 1561, 4219, 1044, 1086, 28515, 1285, 1187, 4620, 1114, 2413, 33, 2257, 1371, 1006, 3289, 1009, 1044, 1561, 4626, 3461, 1009, 1622, 31771, 1040, 6853, 3821, 23901, 2893, 1051, 1440, 26389, 7072, 1009, 11061, 5051, 2535, 1006, 8797, 28888, 4359, 7765, 1026, 1622, 1072, 17275, 6424, 20578, 8940, 4998, 29857, 1349, 4905, 2923, 1026, 2671, 4011, 1009, 10075, 1132, 23676, 7114, 1114, 21904, 1054, 16516, 1005, 1072, 14125, 1054, 2226, 2308, 13078, 1393, 10188, 4682, 1006, 7507, 1009, 4379, 1006, 17314, 1009, 12685, 10233, 1020, 1213, 7838, 1005, 1006, 19701, 1712, 5473, 3825, 1986, 1132, 23676, 6603, 6298, 1043, 1006, 3836, 14355, 1058, 2068, 1412, 1072, 15338, 1065, 1669, 1876, 1005, 6011, 1159, 7963, 1006, 17399, 1049, 27754, 1006, 15204, 6085, 1005, 1006, 16908, 1009, 17274, 9790, 1068, 28386, 1094, 14279, 15204, 6085, 1005, 4245, 3336, 1138, 1561, 1195, 1717, 1006, 4173, 1009, 1044, 12698, 1424, 1036, 1005, 13029, 19077, 1006, 21520, 25077, 9077, 1685, 1009, 13293, 13016, 1071, 2982, 2982, 16452, 6603, 6298, 1043, 1006, 8890, 5334, 3862, 1202, 1060, 26733, 1233, 8761, 7863, 6836, 1271, 17448, 1758, 2950, 7019, 1192, 91, 1711, 6379, 156, 1393, 1124, 6298, 1043, 1026, 18220, 1005, 3611, 3966, 1233, 4716, 5092, 1009, 3894, 1068, 3647, 1235, 4758, 10293, 1711, 1048, 1836, 3027, 8272, 2691, 30188, 10973, 7278, 5756, 4306, 7843, 2130, 1365, 1132, 1791, 13705, 7008, 1054, 2869, 1006, 2122, 27115, 2118, 1009, 3047, 11601, 15, 8988, 1257, 14569, 4826, 3924, 18, 1106, 1256, 6365, 1535, 1539, 71, 1049, 6220, 10787, 15031, 1764, 13858, 2611, 4826, 6806, 4265, 1059, 1082, 47, 63, 3642, 53, 3924, 18, 6015, 1283, 1163, 2581, 130, 2982, 60, 14257, 1313, 1256, 1766, 7114, 1114, 3568, 12531, 5092, 1967, 4655, 3406, 5205, 1565, 10097, 11609, 6034, 1719, 3368, 17107, 8856, 22384, 12505, 9899, 1059, 14799, 30074, 18, 7833, 1205, 1256, 1063, 10374, 6579, 1049, 4961, 3267, 32, 1006, 3568, 12531, 1049, 2671, 8490, 1031, 3158, 4284, 10980, 32, 10812, 1060, 26625, 45, 6822, 5238, 1059, 1205, 9703, 6996, 2321, 5529, 11330, 1134, 1256, 1063, 3568, 12531, 1049, 2671, 5051, 20, 10787, 15031, 4284, 10980, 32, 10812, 1060, 26625, 45, 6822, 4864, 1059, 26953, 23893, 1141, 11869, 1049, 1561, 2503, 1041, 8622, 5051, 1072, 1561, 1967, 4655, 9172, 4705, 1308, 2814, 6176, 8490, 16827, 1, 7384, 1196, 28289, 8588, 4213, 4334, 3070, 14184, 3771, 1009, 3370, 1009, 21253, 1711, 7365, 18256, 1158, 1009, 2436, 1009, 10285, 15, 1195, 1094, 30263, 1005, 5958, 9046, 18, 4485, 1118, 1663, 1751, 1049, 7335, 3462, 1049, 10225, 6567, 10890, 1189, 17166, 10606, 4872, 1324, 1049, 1428, 2521, 1751, 1365, 13912, 1005, 2226, 3537, 675, 8588, 4213, 4857, 1026, 29616, 6904, 1118, 1224, 10647, 1072, 2868, 1005, 1058, 13005, 1792, 1159, 1094, 6627, 16057, 6720, 1072, 6490, 1060, 8907, 1187, 2138, 2365, 7587, 2324, 22169, 1054, 25059, 14184, 8588, 4213, 1516, 1009, 2531, 7058, 2275, 5024, 10109, 1009, 2306, 1516, 1493, 4500, 1126, 1006, 29765, 1043, 8692, 1068, 3047, 11601, 1068, 9035, 1006, 28538, 1060, 25146, 15431, 12081, 8825, 1357, 2828, 1009, 7144, 1122, 4358, 1309, 1160, 1058, 14070, 7381, 25237, 1044, 3041, 15075, 1072, 8063, 7187, 1072, 22091, 8588, 4213, 12161, 1006, 3047, 11601, 1054, 22289, 1571, 2521, 3560, 1072, 7661, 20, 4116, 2790, 1009, 6525, 9502, 1007, 2196, 28160, 95, 1574, 1506, 1005, 3753, 5045, 6488, 1803, 2521, 1751, 1049, 7335, 1049, 2045, 9585, 15867, 1162, 1081, 14645, 1207, 2356, 20, 1776, 1592, 4183, 1195, 18936, 1118, 1142, 24137, 6873, 89, 1068, 14368, 1026, 7335, 1009, 6559, 1049, 10890, 1189, 17166, 10606, 4872, 1324, 1049, 1428, 2521, 1751, 1365, 13912, 1005, 2226, 3537, 1138, 2417, 2793, 3201, 1159, 6234, 1252, 1587, 12224, 1234, 29922, 11802, 7091, 1248, 8, 1071, 3885, 30854, 1683, 1012, 1010, 1972, 1026, 11794, 1304, 1144, 4080, 1565, 26953, 1019, 4213, 6154, 4857, 31146, 2590, 1118, 2350, 1009, 1569, 25456, 1159, 1006, 11633, 5143, 12781, 1692, 18639, 3496, 1019, 18060, 13231, 4987, 11191, 1226, 1058, 14067, 1054, 11865, 1043, 1026, 6159, 1005, 4148, 30455, 16490, 1870, 1043, 2306, 2521, 4533, 1159, 1063, 1119, 3556, 1009, 18629, 33, 6757, 10709, 6459, 81, 2196, 3316, 5059, 12679, 1054, 2193, 5214, 1005, 18198, 1009, 6088, 2188, 4348, 22507, 12683, 13442, 1487, 1646, 5738, 9563, 1009, 10553, 1072, 9053, 3335, 1043, 1657, 12336, 1646, 18352, 1257, 11233, 1175, 1207, 2363, 1148, 74, 1207, 15008, 1263, 18907, 12041, 1175, 8463, 1248, 1283, 5798, 81, 30293, 11865, 1175, 2045, 1313, 18850, 1098, 4899, 5, 13656, 1175, 6757, 10709, 6459, 10709, 5, 8911, 1175, 17845, 26713, 31048, 9619, 8042, 29092, 1036, 1017, 1573, 1187, 2138, 2365, 22728, 1187, 2138, 2365, 12287, 1049, 7335, 1049, 10890, 1189, 17166, 10606, 12464, 6577, 1009, 30800, 3141, 1019, 19796, 7384, 1196, 17647, 1054, 10285, 1, 1138, 7341, 1060, 11035, 1096, 1094, 2236, 8006, 1009, 17092, 3106, 60, 23245, 1060, 1641, 5092, 1009, 16502, 17237, 3861, 1049, 2497, 1009, 3584, 6790, 5949, 1424, 2236, 1009, 1307, 3162, 26, 4673, 1025, 0, 18, 1325, 5062, 10677, 1250, 1114, 6317, 14715, 5046, 1060, 4930, 1294, 9789, 1060, 6586, 12912, 4568, 24747, 8923, 1505, 1058, 2594, 1024, 1114, 2258, 1087, 1239, 1765, 1637, 1060, 12237, 1207, 1421, 6176, 2397, 5121, 3134, 1044, 1025, 18279, 1009, 1571, 1058, 1298, 24342, 1024, 1989, 20668, 29822, 1680, 1159, 1006, 1380, 1226, 14715, 16030, 1549, 1009, 24169, 1658, 14345, 2612, 1043, 2236, 1009, 27077, 1870, 17269, 1009, 19918, 11391, 1068, 2120, 1223, 2106, 3428, 1009, 16672, 3154, 1243, 1009, 7147, 5686, 2230, 1153, 1678, 9559, 1005, 1372, 1273, 1365, 1734, 6486, 20, 4490, 6496, 1325, 1006, 5333, 1060, 5744, 26605, 1049, 7341, 1060, 11035, 3106, 5071, 23245, 5801, 3367, 2346, 1342, 1060, 16575, 17435, 23611, 1049, 2529, 1035, 10439, 8015, 23611, 1049, 10786, 1177, 1206, 23611, 1049, 14413, 2829, 5944, 13156, 1049, 2386, 1571, 5474, 1325, 11073, 1026, 7341, 1060, 2397, 5121, 8244, 1435, 1009, 3011, 1394, 30167, 1322, 1044, 5049, 5781, 1484, 13126, 1667, 28026, 2198, 1010, 1233, 2236, 1836, 11073, 1026, 18663, 1009, 14464, 2149, 6418, 5056, 1175, 1094, 1271, 13772, 1049, 2743, 4894, 1072, 16355, 19977, 1005, 1026, 1134, 8540, 1049, 1142, 5558, 1967, 1839, 3406, 3502, 1565, 4116, 3821, 2419, 18146, 1026, 4284, 1072, 5603, 17367, 17959, 1132, 27540, 5425, 1124, 23714, 1009, 1244, 4667, 1005, 1883, 1273, 1009, 1057, 6857, 1005, 10610, 1166, 1009, 9129, 4717 ]

[ 6902, 11024, 1054, 26160, 5911, 18, 4230, 10927, 2693, 1006, 4024, 1697, 1564, 2264, 1015, 1072, 6902, 1054, 1106, 8047, 9116, 1564, 2264, 1015, 2170, 8231, 5151, 1126, 1213, 5470, 2073, 42, 6590, 1147, 1049, 26160, 5911, 18, 4230, 10927, 2220, 1026, 1106, 8047, 9116, 1564, 2264, 1015, 1054, 4024, 1697, 1564, 2264, 4752, 1177, 20356, 6440, 1026, 2511, 11024, 3555, 2674, 1697, 1824, 675, 1150, 3107, 3636, 1150, 12580, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 42, 22, 6526, 675, 3807, 17406, 3636, 1150, 2402, 75, 38, 74, 25908, 2592, 6526, 675, 26569, 1009, 3142, 3636, 1150, 6188, 75, 6526, 675, 1150, 26581, 1921, 89, 3636, 14544, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 5003, 6526, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1083, 6526, 675, 675, 675, 675, 675, 9788, 89, 19982, 3636, 5620, 5, 675, 675, 675, 10925, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 7795, 2704, 6101, 1254, 6101, 40, 29, 7157, 6526, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1101, 6526, 675, 675, 675, 675, 675, 1150, 2870, 18197, 3636, 8320, 5, 675, 675, 675, 2886, 675, 20539, 5403, 2771, 3555, 1503, 4230, 3895, 150, 3527, 1159, 12452, 2307, 4331, 1996, 1009, 4637, 150, 3527, 1054, 26160, 5911, 3555, 2674, 1697, 1824, 675, 1150, 6395, 3636, 17213, 10, 1026, 1038, 3636, 1150, 12580, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 42, 22, 8, 15348, 675, 3807, 17406, 3636, 1150, 2402, 75, 38, 74, 25908, 2592, 6526, 675, 26569, 1009, 3142, 3636, 1150, 6188, 75, 6526, 675, 1150, 26581, 1921, 89, 3636, 14544, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 17213, 10, 1026, 1038, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 5003, 8, 15348, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1083, 6526, 675, 675, 675, 675, 675, 9788, 89, 19982, 3636, 5620, 5, 675, 675, 675, 10925, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 17213, 10, 1026, 1038, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 7795, 2704, 6101, 1254, 6101, 40, 29, 7157, 8, 15348, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1101, 6526, 675, 675, 675, 675, 675, 1150, 2870, 18197, 3636, 8320, 5, 675, 675, 675, 2886, 675, 20539, 5403, 2771, 3555, 2170, 1096, 11418, 4230, 11062, 1009, 2922, 1664, 1132, 1080, 1617, 1697, 1564, 2264, 1015, 1054, 4024, 1697, 1564, 2264, 1015, 1213, 5470, 1026, 6902, 1009, 26160, 5911, 20, 2240, 7216, 4331, 1325, 1026, 2326, 1048, 8476, 11062, 1106, 8047, 9116, 1564, 2264, 1015, 1054, 4024, 1697, 1564, 2264, 1015, 1071, 16972, 1006, 6855, 1697, 1151, 89, 24652, 1364, 2264, 3692, 2674, 1697, 1733, 7835, 1838, 10156, 1617, 32, 1151, 89, 24083, 1324, 5773, 32, 4024, 15, 1246, 13714, 20, 14666, 14334, 29474, 11036, 52, 12086, 1824, 675, 2535, 10103, 3103, 2557, 13395, 1349, 2161, 15, 1246, 1283, 1840, 14, 9451, 16065, 1840, 9115, 2557, 18577, 1026, 1038, 7130, 5403, 2771, 20563, 1048, 1989, 3202, 1160, 17188, 1697, 1564, 2264, 1054, 1697, 5869, 1038, 9453, 1264, 1160, 5325, 1005, 1927, 8089, 1697, 1268, 22, 32, 8829, 17532, 3158, 6614, 1916, 13775, 11001, 89, 8493, 1246, 17213, 7283, 8874, 89, 3636, 9700, 99, 2264, 33, 6201, 2143, 6079, 1058, 1503, 7749, 2616, 1006, 5773, 1159, 2122, 3555, 2674, 1697, 1733, 7835, 1838, 10156, 1617, 32, 1151, 89, 9146, 15, 1246, 13714, 20, 14666, 14334, 29474, 11036, 52, 12086, 1824, 675, 2535, 10103, 3103, 2557, 2951, 73, 8874, 4476, 11179, 2161, 15, 1246, 1283, 1840, 31446, 7283, 8874, 4476, 8, 16065, 1840, 9115, 2557, 18577, 1026, 1038, 7130, 5403, 2771, 3555, 19831, 71, 1159, 12562, 1005, 1503, 1745, 2060, 1026, 11024, 1072, 2277, 2991, 17221, 1044, 2574, 3215, 2647, 2276, 2073, 3629, 2909, 3711, 8005, 23136, 19180, 1048, 1299, 1998, 3135, 8924, 1235, 1831, 11536, 1009, 2326, 1068, 8947, 1006, 5773, 1150, 1038, 8, 1068, 1150, 6395, 8, 1005, 12512, 1235, 2161, 1072, 5203, 1106, 8047, 18, 1992, 4262, 1741, 4418, 3691, 5026, 76, 5122, 29572, 7821, 8047, 32, 20735, 8493, 15, 1246, 11024, 20, 10895, 42, 20070, 2982, 50, 30687, 63, 52, 9753, 2164, 1824, 675, 2535, 10103, 3103, 2557, 1150, 1038, 11179, 2161, 15, 10444, 2441, 6395, 8, 17245, 13714, 20, 20656, 2441, 10, 1026, 1038, 8, 17245, 1581, 30598, 1016, 1655, 7255, 67, 10501, 675, 9184, 10103, 3103, 2557, 13395, 1349, 2161, 15, 10444, 1071, 9451, 17245, 2161, 1308, 9654, 13621, 1068, 11062, 1132, 5974, 89, 1049, 1106, 8047, 1054, 5974, 89, 1009, 4024, 1213, 5470, 1049, 26160, 5911, 18, 1299, 1298, 2071, 1094, 5939, 7155, 4262, 1741, 4418, 3691, 5026, 76, 9987, 1838, 7821, 8047, 32, 20735, 8493, 15, 1246, 11024, 20, 10895, 42, 20070, 2982, 50, 30687, 63, 52, 9753, 2164, 1824, 675, 2535, 10103, 3103, 2557, 1150, 6395, 8, 2557, 18577, 1026, 1038, 11179, 2161, 15, 10444, 2441, 1038, 8, 17245, 1581, 30598, 1016, 1655, 7255, 67, 1308, 675, 9184, 10103, 3103, 2557, 13395, 2557, 18577, 1026, 1038, 11179, 2161, 15, 10444, 1071, 9451, 17245, 1581, 30598, 71, 1655, 7255, 67, 1308, 675, 9184, 10103, 3103, 2557, 13395, 1349, 2161, 15, 10444, 1071, 9451, 17245, 2161, 1308, 9654, 13179, 1976, 6180, 1043, 1006, 13853, 1009, 1664, 1132, 5974, 89, 1106, 8047, 1054, 5974, 89, 1009, 20872, 6508, 1157, 1026, 10711, 1060, 3023, 11024, 20, 1, 2760, 7804, 1503, 2449, 2237, 6046, 1009, 3479, 2951, 84, 1053, 1112, 13678, 2959, 1225, 1026, 3479, 2195, 1905, 1054, 1094, 3922, 1009, 6046, 8734, 2170, 1511, 1299, 1484, 1226, 1068, 13713, 2947, 4863, 1005, 10968, 1114, 1751, 4260, 1060, 3922, 6354, 1325, 1044, 2991, 1009, 8542, 1043, 1026, 5762, 2540, 4576, 1049, 1428, 30288, 80, 1089, 2220, 1026, 2326, 16955, 1304, 1068, 30119, 3527, 8407, 32, 8012, 21978, 2388, 1246, 20977, 8, 3164, 2427, 2077, 1246, 16155, 7723, 3164, 11566, 2262, 1246, 23999, 3164, 19, 4675, 3841, 1246, 23999, 3164, 5594, 4876, 1246, 25495, 4804, 4425, 2388, 1246, 26302, 28808, 19, 1139, 1618, 1012, 1278, 26513, 8, 4804, 22459, 1246, 26302, 19, 9717, 1064, 23330, 9717, 28941, 1697, 2052, 10156, 1056, 1623, 15, 2124, 4418, 5727, 10103, 15, 1246, 1283, 1840, 1824, 675, 675, 675, 1150, 16165, 13528, 3461, 7642, 675, 675, 675, 7009, 2020, 12064, 78, 1246, 2052, 10156, 1056, 1623, 15, 2124, 15570, 3625, 675, 675, 675, 13492, 6743, 1246, 2052, 10156, 1056, 1623, 15, 2124, 23392, 5727, 6235, 3625, 675, 675, 675, 13492, 1026, 12380, 1246, 2052, 19463, 17233, 1709, 7829, 8180, 1207, 3626, 3625, 675, 675, 675, 1257, 675, 675, 675, 4266, 1071, 93, 19627, 1283, 1522, 2020, 12064, 78, 8633, 7486, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 20886, 8180, 7305, 2441, 16767, 1636, 1406, 3793, 73, 4096, 2441, 17, 14, 17964, 8847, 19627, 21, 14, 10, 4271, 6590, 1147, 15, 2124, 1079, 1363, 15570, 2061, 11386, 12064, 78, 5885, 16, 1999, 7362, 17, 4985, 5557, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 17233, 1709, 7829, 8180, 1011, 1476, 2441, 11052, 1636, 1406, 6373, 1625, 5009, 8448, 15, 5557, 675, 675, 675, 675, 675, 675, 675, 2052, 2441, 3093, 74, 1032, 2586, 3093, 8827, 8180, 7305, 14746, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4032, 1010, 1346, 3636, 23409, 4631, 6526, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4049, 3562, 24598, 6235, 3636, 21973, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 2004, 2143, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 74, 8560, 8180, 7305, 14746, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4032, 1010, 1346, 3636, 6809, 1483, 1069, 6526, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4049, 3562, 1021, 1175, 6235, 3636, 1175, 26335, 78, 17, 17233, 1709, 7829, 5, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 13637, 8180, 7305, 2441, 51, 3562, 24598, 6235, 1406, 18487, 78, 1621, 675, 675, 675, 2886, 675, 1257, 675, 675, 675, 2052, 19463, 17233, 1709, 7829, 8180, 7305, 2441, 20710, 1346, 1406, 6743, 1283, 1840, 8847, 12064, 46, 19, 24743, 15, 13952, 37, 3730, 1017, 1602, 1188, 3636, 23409, 4631, 5557, 99, 3929, 2264, 10375, 1255, 90, 2388, 1246, 26302, 3577, 1476, 1064, 2077, 3577, 1476, 28941, 1697, 2124, 22092, 1171, 1824, 675, 675, 675, 30102, 30639, 7, 22481, 16331, 18561, 1276, 3203, 20, 1353, 88, 11780, 1824, 675, 675, 675, 8759, 32, 8934, 1276, 675, 675, 675, 1387, 1407, 1303, 1009, 31187, 3709, 1276, 3203, 20, 14750, 1364, 32, 1996, 1009, 1824, 675, 675, 675, 8568, 32, 4806, 1276, 675, 675, 675, 22715, 32, 1150, 1150, 1276, 3203, 20, 14750, 1364, 32, 1846, 1824, 675, 675, 675, 13675, 5300, 1276, 3203, 9, 74, 8560, 1824, 675, 675, 675, 8759, 32, 8934, 1276, 675, 675, 675, 24450, 3114, 60, 46, 1276, 675, 675, 675, 23895, 3883, 9281, 32, 14186, 1066, 1615, 1276, 675, 675, 675, 8568, 32, 8011, 1276, 675, 675, 675, 9973, 1069, 19, 1041, 1219, 32, 3709, 1276, 675, 675, 675, 4298, 12365, 28534, 1032, 32, 11383, 1276, 3203, 9, 31985, 1824, 675, 675, 675, 24450, 6653, 13671, 675, 675, 675, 7711, 32, 12283, 675, 675, 675, 30102, 4386, 14470, 3461, 1276, 675, 675, 675, 8568, 32, 8011, 1276, 675, 675, 675, 9973, 1069, 19, 1041, 1219, 32, 3709, 1276, 675, 675, 675, 4298, 12365, 28534, 1032, 32, 11383, 1276, 675, 675, 675, 11522, 32, 1664, 1132, 26261, 89, 1276, 3203, 9, 31280, 1824, 675, 675, 675, 8759, 32, 8934, 1276, 675, 675, 675, 3258, 32, 3093, 6281, 44, 1276, 675, 675, 675, 11174, 32, 8323, 8387, 1621, 3203, 9, 1331, 1091, 1824, 675, 675, 675, 24450, 12722, 13671, 675, 675, 675, 23895, 3883, 9281, 32, 14186, 40, 1321, 75, 1276, 99, 2264, 10375, 22459, 1246, 26302, 19, 5442, 1064, 23330, 5442, 28941, 1697, 1283, 1522, 5935, 8056, 1246, 9615, 71, 1420, 5953, 13533, 1241, 1020, 4177, 28298, 10487, 5208, 80, 17052, 21, 1999, 23, 10607, 1643, 3965, 1498, 15318, 14868, 1840, 1283, 18647, 1283, 5889, 1522, 2823, 1283, 1951, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 22614, 1364, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 8055, 8560, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 6012, 25095, 7829, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1172, 23, 1564, 1246, 6373, 10090, 8, 1283, 1840, 22000, 1283, 28685, 23, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 8115, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 8115, 1283, 1951, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 1150, 8827, 8, 1283, 1840, 1283, 8115, 1283, 5889, 2508, 21593, 1283, 1840, 2264, 2134, 12233, 4425, 8984, 25207, 5586, 3962, 1282, 1482, 4702, 1096, 7215, 1026, 1592, 28808, 18, 1309, 1043, 1094, 16723, 32, 1168, 2903, 14065, 1044, 10981, 2586, 1026, 1048, 6071, 1072, 1048, 1323, 1919, 26783, 11738, 1250, 17372, 5361, 32, 1697, 11985, 32, 8575, 26657, 25, 3929, 16771, 1186, 5586, 3962, 1282, 2800, 1299, 1298, 1419, 4331, 1511, 1299, 1484, 1226, 1357, 6746, 1060, 1150, 10688, 1112, 13678, 53, 3479, 5417, 24278, 12532, 1299, 27516, 1129, 71, 1026, 2810, 2016, 1264, 1620, 1225, 2252, 1124, 1569, 2782, 3827, 1400, 1309, 1009, 3473, 1871, 1058, 1195, 5981, 1096, 1026, 1592, 1054, 29163, 1005, 17060, 1005, 1160, 2449, 9026, 1049, 20874, 6261, 23925, 1461, 1493, 1058, 4327, 10030, 19532, 1044, 11536, 1009, 2011, 1043, 1026, 11985, 15335, 1005, 9202, 1118, 1048, 1264, 1160, 20237, 22561, 8012, 21978, 2388, 1246, 20977, 8, 3164, 2427, 2077, 1246, 16155, 7723, 3164, 11566, 2262, 1246, 23999, 3164, 19, 4675, 3841, 1246, 23999, 3164, 5594, 4876, 1246, 25495, 4804, 4425, 2388, 1246, 26302, 28808, 19, 1139, 1618, 1012, 1278, 26513, 8, 4804, 22459, 1246, 26302, 19, 9717, 1064, 23330, 9717, 28941, 1697, 2052, 10156, 1056, 1623, 15, 2124, 4418, 5727, 10103, 15, 1246, 1283, 1840, 1824, 675, 675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6902, 11024, 1054, 26160, 5911, 18, 4230, 10927, 2693, 1006, 4024, 1697, 1564, 2264, 1015, 1072, 6902, 1054, 1106, 8047, 9116, 1564, 2264, 1015, 2170, 8231, 5151, 1126, 1213, 5470, 2073, 42, 6590, 1147, 1049, 26160, 5911, 18, 4230, 10927, 2220, 1026, 1106, 8047, 9116, 1564, 2264, 1015, 1054, 4024, 1697, 1564, 2264, 4752, 1177, 20356, 6440, 1026, 2511, 11024, 3555, 2674, 1697, 1824, 675, 1150, 3107, 3636, 1150, 12580, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 42, 22, 6526, 675, 3807, 17406, 3636, 1150, 2402, 75, 38, 74, 25908, 2592, 6526, 675, 26569, 1009, 3142, 3636, 1150, 6188, 75, 6526, 675, 1150, 26581, 1921, 89, 3636, 14544, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 5003, 6526, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1083, 6526, 675, 675, 675, 675, 675, 9788, 89, 19982, 3636, 5620, 5, 675, 675, 675, 10925, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 7795, 2704, 6101, 1254, 6101, 40, 29, 7157, 6526, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1101, 6526, 675, 675, 675, 675, 675, 1150, 2870, 18197, 3636, 8320, 5, 675, 675, 675, 2886, 675, 20539, 5403, 2771, 3555, 1503, 4230, 3895, 150, 3527, 1159, 12452, 2307, 4331, 1996, 1009, 4637, 150, 3527, 1054, 26160, 5911, 3555, 2674, 1697, 1824, 675, 1150, 6395, 3636, 17213, 10, 1026, 1038, 3636, 1150, 12580, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 42, 22, 8, 15348, 675, 3807, 17406, 3636, 1150, 2402, 75, 38, 74, 25908, 2592, 6526, 675, 26569, 1009, 3142, 3636, 1150, 6188, 75, 6526, 675, 1150, 26581, 1921, 89, 3636, 14544, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 17213, 10, 1026, 1038, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 6951, 6101, 1254, 6101, 40, 29, 5003, 8, 15348, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1083, 6526, 675, 675, 675, 675, 675, 9788, 89, 19982, 3636, 5620, 5, 675, 675, 675, 10925, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 2951, 73, 8874, 4476, 3636, 17213, 10, 1026, 1038, 3636, 1150, 8360, 27030, 31, 8121, 40, 6101, 7795, 2704, 6101, 1254, 6101, 40, 29, 7157, 8, 15348, 675, 675, 675, 675, 675, 26569, 3636, 3598, 1553, 1101, 6526, 675, 675, 675, 675, 675, 1150, 2870, 18197, 3636, 8320, 5, 675, 675, 675, 2886, 675, 20539, 5403, 2771, 3555, 2170, 1096, 11418, 4230, 11062, 1009, 2922, 1664, 1132, 1080, 1617, 1697, 1564, 2264, 1015, 1054, 4024, 1697, 1564, 2264, 1015, 1213, 5470, 1026, 6902, 1009, 26160, 5911, 20, 2240, 7216, 4331, 1325, 1026, 2326, 1048, 8476, 11062, 1106, 8047, 9116, 1564, 2264, 1015, 1054, 4024, 1697, 1564, 2264, 1015, 1071, 16972, 1006, 6855, 1697, 1151, 89, 24652, 1364, 2264, 3692, 2674, 1697, 1733, 7835, 1838, 10156, 1617, 32, 1151, 89, 24083, 1324, 5773, 32, 4024, 15, 1246, 13714, 20, 14666, 14334, 29474, 11036, 52, 12086, 1824, 675, 2535, 10103, 3103, 2557, 13395, 1349, 2161, 15, 1246, 1283, 1840, 14, 9451, 16065, 1840, 9115, 2557, 18577, 1026, 1038, 7130, 5403, 2771, 20563, 1048, 1989, 3202, 1160, 17188, 1697, 1564, 2264, 1054, 1697, 5869, 1038, 9453, 1264, 1160, 5325, 1005, 1927, 8089, 1697, 1268, 22, 32, 8829, 17532, 3158, 6614, 1916, 13775, 11001, 89, 8493, 1246, 17213, 7283, 8874, 89, 3636, 9700, 99, 2264, 33, 6201, 2143, 6079, 1058, 1503, 7749, 2616, 1006, 5773, 1159, 2122, 3555, 2674, 1697, 1733, 7835, 1838, 10156, 1617, 32, 1151, 89, 9146, 15, 1246, 13714, 20, 14666, 14334, 29474, 11036, 52, 12086, 1824, 675, 2535, 10103, 3103, 2557, 2951, 73, 8874, 4476, 11179, 2161, 15, 1246, 1283, 1840, 31446, 7283, 8874, 4476, 8, 16065, 1840, 9115, 2557, 18577, 1026, 1038, 7130, 5403, 2771, 3555, 19831, 71, 1159, 12562, 1005, 1503, 1745, 2060, 1026, 11024, 1072, 2277, 2991, 17221, 1044, 2574, 3215, 2647, 2276, 2073, 3629, 2909, 3711, 8005, 23136, 19180, 1048, 1299, 1998, 3135, 8924, 1235, 1831, 11536, 1009, 2326, 1068, 8947, 1006, 5773, 1150, 1038, 8, 1068, 1150, 6395, 8, 1005, 12512, 1235, 2161, 1072, 5203, 1106, 8047, 18, 1992, 4262, 1741, 4418, 3691, 5026, 76, 5122, 29572, 7821, 8047, 32, 20735, 8493, 15, 1246, 11024, 20, 10895, 42, 20070, 2982, 50, 30687, 63, 52, 9753, 2164, 1824, 675, 2535, 10103, 3103, 2557, 1150, 1038, 11179, 2161, 15, 10444, 2441, 6395, 8, 17245, 13714, 20, 20656, 2441, 10, 1026, 1038, 8, 17245, 1581, 30598, 1016, 1655, 7255, 67, 10501, 675, 9184, 10103, 3103, 2557, 13395, 1349, 2161, 15, 10444, 1071, 9451, 17245, 2161, 1308, 9654, 13621, 1068, 11062, 1132, 5974, 89, 1049, 1106, 8047, 1054, 5974, 89, 1009, 4024, 1213, 5470, 1049, 26160, 5911, 18, 1299, 1298, 2071, 1094, 5939, 7155, 4262, 1741, 4418, 3691, 5026, 76, 9987, 1838, 7821, 8047, 32, 20735, 8493, 15, 1246, 11024, 20, 10895, 42, 20070, 2982, 50, 30687, 63, 52, 9753, 2164, 1824, 675, 2535, 10103, 3103, 2557, 1150, 6395, 8, 2557, 18577, 1026, 1038, 11179, 2161, 15, 10444, 2441, 1038, 8, 17245, 1581, 30598, 1016, 1655, 7255, 67, 1308, 675, 9184, 10103, 3103, 2557, 13395, 2557, 18577, 1026, 1038, 11179, 2161, 15, 10444, 1071, 9451, 17245, 1581, 30598, 71, 1655, 7255, 67, 1308, 675, 9184, 10103, 3103, 2557, 13395, 1349, 2161, 15, 10444, 1071, 9451, 17245, 2161, 1308, 9654, 13179, 1976, 6180, 1043, 1006, 13853, 1009, 1664, 1132, 5974, 89, 1106, 8047, 1054, 5974, 89, 1009, 20872, 6508, 1157, 1026, 10711, 1060, 3023, 11024, 20, 1, 2760, 7804, 1503, 2449, 2237, 6046, 1009, 3479, 2951, 84, 1053, 1112, 13678, 2959, 1225, 1026, 3479, 2195, 1905, 1054, 1094, 3922, 1009, 6046, 8734, 2170, 1511, 1299, 1484, 1226, 1068, 13713, 2947, 4863, 1005, 10968, 1114, 1751, 4260, 1060, 3922, 6354, 1325, 1044, 2991, 1009, 8542, 1043, 1026, 5762, 2540, 4576, 1049, 1428, 30288, 80, 1089, 2220, 1026, 2326, 16955, 1304, 1068, 30119, 3527, 8407, 32, 8012, 21978, 2388, 1246, 20977, 8, 3164, 2427, 2077, 1246, 16155, 7723, 3164, 11566, 2262, 1246, 23999, 3164, 19, 4675, 3841, 1246, 23999, 3164, 5594, 4876, 1246, 25495, 4804, 4425, 2388, 1246, 26302, 28808, 19, 1139, 1618, 1012, 1278, 26513, 8, 4804, 22459, 1246, 26302, 19, 9717, 1064, 23330, 9717, 28941, 1697, 2052, 10156, 1056, 1623, 15, 2124, 4418, 5727, 10103, 15, 1246, 1283, 1840, 1824, 675, 675, 675, 1150, 16165, 13528, 3461, 7642, 675, 675, 675, 7009, 2020, 12064, 78, 1246, 2052, 10156, 1056, 1623, 15, 2124, 15570, 3625, 675, 675, 675, 13492, 6743, 1246, 2052, 10156, 1056, 1623, 15, 2124, 23392, 5727, 6235, 3625, 675, 675, 675, 13492, 1026, 12380, 1246, 2052, 19463, 17233, 1709, 7829, 8180, 1207, 3626, 3625, 675, 675, 675, 1257, 675, 675, 675, 4266, 1071, 93, 19627, 1283, 1522, 2020, 12064, 78, 8633, 7486, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 20886, 8180, 7305, 2441, 16767, 1636, 1406, 3793, 73, 4096, 2441, 17, 14, 17964, 8847, 19627, 21, 14, 10, 4271, 6590, 1147, 15, 2124, 1079, 1363, 15570, 2061, 11386, 12064, 78, 5885, 16, 1999, 7362, 17, 4985, 5557, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 17233, 1709, 7829, 8180, 1011, 1476, 2441, 11052, 1636, 1406, 6373, 1625, 5009, 8448, 15, 5557, 675, 675, 675, 675, 675, 675, 675, 2052, 2441, 3093, 74, 1032, 2586, 3093, 8827, 8180, 7305, 14746, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4032, 1010, 1346, 3636, 23409, 4631, 6526, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4049, 3562, 24598, 6235, 3636, 21973, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 2004, 2143, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 74, 8560, 8180, 7305, 14746, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4032, 1010, 1346, 3636, 6809, 1483, 1069, 6526, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 4049, 3562, 1021, 1175, 6235, 3636, 1175, 26335, 78, 17, 17233, 1709, 7829, 5, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 675, 675, 675, 675, 2052, 19463, 13637, 8180, 7305, 2441, 51, 3562, 24598, 6235, 1406, 18487, 78, 1621, 675, 675, 675, 2886, 675, 1257, 675, 675, 675, 2052, 19463, 17233, 1709, 7829, 8180, 7305, 2441, 20710, 1346, 1406, 6743, 1283, 1840, 8847, 12064, 46, 19, 24743, 15, 13952, 37, 3730, 1017, 1602, 1188, 3636, 23409, 4631, 5557, 99, 3929, 2264, 10375, 1255, 90, 2388, 1246, 26302, 3577, 1476, 1064, 2077, 3577, 1476, 28941, 1697, 2124, 22092, 1171, 1824, 675, 675, 675, 30102, 30639, 7, 22481, 16331, 18561, 1276, 3203, 20, 1353, 88, 11780, 1824, 675, 675, 675, 8759, 32, 8934, 1276, 675, 675, 675, 1387, 1407, 1303, 1009, 31187, 3709, 1276, 3203, 20, 14750, 1364, 32, 1996, 1009, 1824, 675, 675, 675, 8568, 32, 4806, 1276, 675, 675, 675, 22715, 32, 1150, 1150, 1276, 3203, 20, 14750, 1364, 32, 1846, 1824, 675, 675, 675, 13675, 5300, 1276, 3203, 9, 74, 8560, 1824, 675, 675, 675, 8759, 32, 8934, 1276, 675, 675, 675, 24450, 3114, 60, 46, 1276, 675, 675, 675, 23895, 3883, 9281, 32, 14186, 1066, 1615, 1276, 675, 675, 675, 8568, 32, 8011, 1276, 675, 675, 675, 9973, 1069, 19, 1041, 1219, 32, 3709, 1276, 675, 675, 675, 4298, 12365, 28534, 1032, 32, 11383, 1276, 3203, 9, 31985, 1824, 675, 675, 675, 24450, 6653, 13671, 675, 675, 675, 7711, 32, 12283, 675, 675, 675, 30102, 4386, 14470, 3461, 1276, 675, 675, 675, 8568, 32, 8011, 1276, 675, 675, 675, 9973, 1069, 19, 1041, 1219, 32, 3709, 1276, 675, 675, 675, 4298, 12365, 28534, 1032, 32, 11383, 1276, 675, 675, 675, 11522, 32, 1664, 1132, 26261, 89, 1276, 3203, 9, 31280, 1824, 675, 675, 675, 8759, 32, 8934, 1276, 675, 675, 675, 3258, 32, 3093, 6281, 44, 1276, 675, 675, 675, 11174, 32, 8323, 8387, 1621, 3203, 9, 1331, 1091, 1824, 675, 675, 675, 24450, 12722, 13671, 675, 675, 675, 23895, 3883, 9281, 32, 14186, 40, 1321, 75, 1276, 99, 2264, 10375, 22459, 1246, 26302, 19, 5442, 1064, 23330, 5442, 28941, 1697, 1283, 1522, 5935, 8056, 1246, 9615, 71, 1420, 5953, 13533, 1241, 1020, 4177, 28298, 10487, 5208, 80, 17052, 21, 1999, 23, 10607, 1643, 3965, 1498, 15318, 14868, 1840, 1283, 18647, 1283, 5889, 1522, 2823, 1283, 1951, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 22614, 1364, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 8055, 8560, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 6012, 25095, 7829, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1172, 23, 1564, 1246, 6373, 10090, 8, 1283, 1840, 22000, 1283, 28685, 23, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 8115, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 8115, 1283, 1951, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 1150, 8827, 8, 1283, 1840, 1283, 8115, 1283, 5889, 2508, 21593, 1283, 1840, 2264, 2134, 12233, 4425, 8984, 25207, 5586, 3962, 1282, 1482, 4702, 1096, 7215, 1026, 1592, 28808, 18, 1309, 1043, 1094, 16723, 32, 1168, 2903, 14065, 1044, 10981, 2586, 1026, 1048, 6071, 1072, 1048, 1323, 1919, 26783, 11738, 1250, 17372, 5361, 32, 1697, 11985, 32, 8575, 26657, 25, 3929, 16771, 1186, 5586, 3962, 1282, 2800, 1299, 1298, 1419, 4331, 1511, 1299, 1484, 1226, 1357, 6746, 1060, 1150, 10688, 1112, 13678, 53, 3479, 5417, 24278, 12532, 1299, 27516, 1129, 71, 1026, 2810, 2016, 1264, 1620, 1225, 2252, 1124, 1569, 2782, 3827, 1400, 1309, 1009, 3473, 1871, 1058, 1195, 5981, 1096, 1026, 1592, 1054, 29163, 1005, 17060, 1005, 1160, 2449, 9026, 1049, 20874, 6261, 23925, 1461, 1493, 1058, 4327, 10030, 19532, 1044, 11536, 1009, 2011, 1043, 1026, 11985, 15335, 1005, 9202, 1118, 1048, 1264, 1160, 20237, 22561, 8012, 21978, 2388, 1246, 20977, 8, 3164, 2427, 2077, 1246, 16155, 7723, 3164, 11566, 2262, 1246, 23999, 3164, 19, 4675, 3841, 1246, 23999, 3164, 5594, 4876, 1246, 25495, 4804, 4425, 2388, 1246, 26302, 28808, 19, 1139, 1618, 1012, 1278, 26513, 8, 4804, 22459, 1246, 26302, 19, 9717, 1064, 23330, 9717, 28941, 1697, 2052, 10156, 1056, 1623, 15, 2124, 4418, 5727, 10103, 15, 1246, 1283, 1840, 1824, 675, 675 ]

[ 6179, 16082, 7604, 1005, 6687, 21139, 1040, 1006, 6498, 1065, 1081, 1342, 1005, 22742, 1046, 7474, 4492, 14161, 3634, 1178, 1716, 8003, 8486, 3907, 1996, 1049, 7333, 1009, 7474, 8607, 1142, 1870, 5522, 18, 5593, 12957, 26040, 1265, 1105, 1130, 1044, 4449, 1009, 11018, 51, 56, 1043, 6167, 24166, 2485, 21021, 11703, 1009, 1457, 1104, 2787, 1206, 1009, 1025, 6876, 10589, 3893, 675, 1206, 2924, 4751, 10796, 4289, 1096, 7893, 18210, 1603, 1124, 12265, 4109, 1160, 2133, 3890, 19311, 7508, 1044, 10451, 1054, 11808, 1068, 15085, 11855, 3666, 19135, 1005, 4552, 30530, 9428, 1048, 6326, 2593, 10298, 1006, 1765, 4391, 3772, 1485, 1303, 22940, 2539, 4267, 1009, 15427, 1068, 1006, 3122, 1112, 1009, 11808, 5436, 1103, 1196, 21, 8390, 6720, 1349, 1094, 8545, 1096, 1006, 1128, 28595, 15722, 10231, 17203, 1520, 11668, 1048, 22110, 3291, 1124, 9702, 1060, 3122, 1112, 1005, 7508, 6286, 20, 1063, 15869, 4661, 1043, 1006, 24018, 1009, 7156, 7522, 20951, 23366, 11037, 2882, 1014, 2860, 1409, 1820, 1453, 2255, 6088, 8141, 1409, 1820, 1453, 2255, 1983, 1104, 2787, 6785, 1075, 1645, 1833, 1132, 5065, 84, 2622, 3368, 9524, 96, 11349, 3304, 86, 1626, 3368, 1048, 1998, 1693, 4207, 6163, 1043, 1026, 6621, 1005, 1006, 1465, 4952, 1049, 6023, 3800, 1318, 31048, 5765, 1082, 49, 22826, 4071, 1383, 22806, 30539, 2503, 1081, 5004, 31611, 1207, 1375, 72, 6448, 1017, 1914, 2503, 1105, 12193, 1333, 1049, 11808, 1, 1063, 18483, 1009, 21670, 1239, 1049, 2709, 1096, 1094, 6517, 21060, 1060, 4482, 10708, 1072, 2497, 1049, 2293, 3279, 1049, 2709, 25759, 3367, 18483, 1195, 6754, 1072, 1531, 2128, 1009, 3353, 1009, 11260, 1118, 2191, 1060, 1080, 1814, 1561, 79, 9378, 1633, 14314, 1049, 8985, 3381, 2434, 24066, 1776, 1592, 4604, 1195, 6738, 1235, 1831, 20160, 3058, 4660, 23144, 1631, 20286, 10256, 1658, 24660, 1195, 18781, 1072, 1531, 3939, 1009, 3042, 1009, 17344, 3027, 2281, 1054, 18617, 1599, 1072, 1592, 4604, 1235, 1831, 20160, 3058, 1356, 17990, 1049, 1028, 175, 6197, 7212, 12261, 1100, 4660, 12887, 1046, 2060, 13710, 5107, 18864, 1009, 4284, 10980, 3772, 1014, 1408, 1939, 26423, 7948, 1009, 1984, 31085, 9169, 15264, 1222, 1006, 2322, 6921, 15994, 14164, 1327, 29948, 7016, 1009, 4599, 1395, 2483, 22939, 2469, 675, 1389, 5072, 22939, 2469, 1588, 13482, 22939, 2469, 13677, 22939, 1239, 1005, 1064, 6742, 22939, 1239, 3868, 12961, 1537, 21169, 4175, 1563, 1054, 21670, 1239, 1049, 2709, 1797, 9575, 1239, 5311, 2709, 1, 28627, 29771, 1603, 95, 18437, 1171, 3106, 2796, 1147, 3476, 18, 1307, 1009, 3049, 1009, 2026, 6877, 1096, 1094, 5958, 18, 7197, 1005, 2550, 5571, 9549, 1603, 95, 18437, 1171, 2845, 1006, 11034, 1679, 1984, 2864, 4108, 1986, 2997, 2738, 1114, 3560, 1009, 2550, 20, 1063, 5958, 1096, 8569, 1009, 4306, 4533, 1009, 12788, 2966, 1006, 8907, 4247, 1056, 13041, 1678, 1006, 11322, 1049, 7093, 1551, 1024, 3753, 1005, 1132, 9562, 16706, 1183, 1082, 1034, 7, 1005, 11584, 17352, 158, 1007, 1245, 2223, 1482, 8936, 3661, 1224, 1944, 11980, 1213, 9504, 1118, 2878, 4041, 1571, 16876, 1570, 1129, 4413, 2401, 1005, 1072, 1901, 7715, 6368, 1026, 29616, 1357, 1224, 10647, 1114, 28728, 2045, 28036, 2703, 18, 8846, 1114, 1834, 1060, 1721, 1896, 9582, 31172, 3427, 22169, 1005, 6754, 1054, 6014, 1147, 3476, 18, 18368, 9201, 1603, 95, 18437, 1171, 2845, 1006, 8059, 1024, 1511, 2257, 2475, 1646, 1005, 1006, 11034, 1679, 14545, 1054, 11409, 11588, 1347, 1159, 4782, 95, 4143, 29005, 5895, 1114, 11315, 2034, 2186, 5488, 4365, 1269, 17484, 10536, 5056, 1060, 27596, 1005, 9982, 79, 7619, 76, 5797, 1114, 11315, 13427, 18, 6014, 5256, 16238, 3180, 3210, 30066, 3720, 4857, 6522, 1986, 1224, 6559, 1072, 6450, 1114, 8907, 14963, 4247, 1056, 31882, 3210, 6456, 1005, 1235, 3129, 24756, 1159, 1142, 19861, 1344, 2344, 1114, 2700, 1009, 4132, 1060, 1228, 54, 15020, 2462, 1081, 1145, 22305, 25634, 21603, 7224, 10613, 95, 18437, 1171, 3475, 1006, 4305, 11409, 1023, 21582, 1708, 1054, 4533, 4010, 4837, 1159, 1144, 1699, 4872, 1018, 3210, 6877, 1005, 26462, 19170, 3210, 20155, 1005, 12296, 1079, 20025, 4471, 9917, 1617, 1114, 31112, 2700, 9550, 9422, 27749, 9958, 5056, 4349, 2560, 1054, 4702, 9048, 11409, 3145, 1054, 4533, 1009, 12788, 7481, 1157, 1026, 29753, 5923, 1009, 1807, 3189, 1009, 28583, 16706, 1183, 1082, 1034, 7, 3210, 21566, 1026, 2403, 1009, 8359, 4153, 1042, 2238, 3210, 21566, 1006, 8907, 1009, 8359, 26484, 3490, 28750, 16484, 1349, 1026, 3286, 88, 15988, 2115, 15462, 1574, 1362, 75, 16484, 1349, 1026, 8345, 21864, 1551, 1024, 3753, 13531, 1349, 1006, 8907, 23907, 1142, 3979, 1248, 2604, 4510, 5206, 13531, 1349, 1026, 8359, 7093, 4899, 28413, 1253, 4717, 1085, 4585, 11913, 1026, 2403, 1009, 10759, 8206, 1009, 3597, 1705, 11802, 4585, 11913, 1026, 5923, 11584, 17352, 158, 1007, 27875, 4585, 14537, 1356, 1428, 1195, 17934, 1213, 1067, 16117, 2358, 29892, 1924, 3719, 6904, 1118, 6195, 2430, 16302, 1009, 1044, 2231, 4739, 1009, 1044, 16640, 18, 1026, 10036, 22315, 1163, 2578, 4585, 14537, 1026, 8345, 5409, 17632, 18972, 1045, 2890, 4585, 15640, 1006, 8907, 23907, 2045, 9550, 1313, 24479, 1253, 4585, 15640, 1124, 1043, 29866, 1009, 1067, 3930, 4557, 44, 7254, 1056, 1324, 1063, 9571, 1129, 12425, 89, 2604, 15860, 1098, 2186, 7485, 4585, 6456, 1005, 25526, 1101, 4585, 18160, 1026, 2403, 1009, 16077, 6459, 4585, 18160, 1132, 8343, 1016, 1134, 3082, 1248, 2159, 1119, 2363, 18882, 1248, 4585, 7224, 1005, 17845, 27023, 1171, 4585, 20122, 1006, 8907, 2045, 8972, 86, 1364, 4585, 20122, 1026, 2403, 1009, 10759, 8206, 2376, 1081, 4585, 21566, 1006, 8907, 9674, 1163, 2107, 85, 4585, 21566, 1026, 5923, 16706, 1183, 1082, 1034, 7, 1207, 1281, 6926, 3379, 27445, 1021, 4585, 21566, 1005, 1006, 8907, 23122, 2045, 4158, 1409, 22345, 1098, 2186, 28449, 24020, 1565, 3720, 1318, 2521, 27722, 5278, 1009, 1555, 2113, 1054, 10352, 1159, 8525, 1031, 4585, 5463, 1005, 8735, 1193, 7, 30730, 1565, 1505, 1224, 10647, 1159, 1570, 1129, 4413, 2401, 1054, 2878, 81, 30730, 1349, 3661, 16804, 1112, 1060, 7799, 1005, 1195, 17934, 1213, 1766, 73, 1930, 7764, 1009, 8219, 1005, 22101, 6393, 13, 11562, 2238, 1009, 1853, 5958, 1023, 27570, 17331, 1874, 1009, 1834, 1257, 2202, 95, 18437, 1171, 5810, 1054, 6014, 1147, 3476, 18, 27896, 1072, 1531, 1307, 1009, 3049, 1009, 2026, 2639, 4490, 12902, 11921, 8781, 1870, 1096, 26938, 25285, 3842, 30045, 1005, 1235, 10109, 6161, 1603, 95, 18437, 16828, 1096, 18914, 3617, 3720, 1096, 1009, 14045, 3587, 4094, 6861, 1043, 4863, 5020, 1009, 14045, 6832, 1126, 19624, 2029, 19, 1130, 20902, 1005, 4558, 14369, 1603, 95, 18437, 1171, 1058, 14070, 1114, 4687, 21610, 11121, 11529, 1009, 6014, 1147, 3476, 1054, 5238, 10613, 95, 18437, 1171, 1225, 1094, 7668, 1184, 11454, 18, 26484, 1603, 95, 18437, 16828, 1094, 10795, 1291, 1060, 3688, 1009, 7204, 1009, 9295, 1060, 25270, 2069, 9422, 8495, 20, 1603, 95, 18437, 1171, 20779, 1075, 2923, 1114, 10297, 3847, 8275, 1072, 21382, 1009, 11210, 1309, 1160, 13240, 2433, 1986, 1178, 28100, 1235, 3129, 1054, 4247, 1056, 31882, 7381, 20439, 9742, 10536, 30892, 13823, 1047, 1009, 3560, 1005, 22330, 11259, 1677, 1026, 1557, 1009, 1603, 95, 18437, 1171, 1159, 21792, 1687, 7981, 1054, 13198, 19968, 1894, 1009, 3235, 1009, 30638, 2966, 8429, 6271, 5621, 1100, 1043, 3811, 18882, 1081, 4247, 28093, 1005, 7981, 1054, 2125, 30933, 1060, 2700, 1009, 17495, 1067, 15035, 30450, 11121, 20, 3720, 13145, 1009, 8059, 1024, 1511, 2257, 2128, 2864, 1005, 7687, 1159, 6560, 156, 20368, 1054, 1094, 4668, 1009, 8451, 3983, 1603, 95, 18437, 1171, 2569, 7648, 1009, 22667, 12081, 17068, 1005, 3798, 1079, 1043, 1044, 8795, 1060, 25146, 1511, 1620, 1516, 6570, 6633, 3720, 2845, 1006, 11034, 1159, 6627, 1148, 1114, 2700, 23122, 2129, 25932, 1009, 4132, 1924, 1038, 1253, 14186, 20, 1551, 3303, 1006, 11057, 1687, 16876, 1026, 4575, 24756, 4782, 95, 4143, 29005, 5895, 1114, 11315, 1060, 13998, 6822, 2034, 2186, 5488, 4365, 1269, 20, 3720, 16876, 9982, 79, 7619, 76, 5797, 1114, 11315, 6014, 5256, 16238, 3180, 18, 1060, 13427, 18, 1009, 5073, 1006, 5238, 2286, 11210, 1603, 95, 18437, 1171, 2521, 1026, 4902, 1068, 16145, 1026, 3129, 1009, 24232, 7413, 1054, 4247, 1056, 31882, 33, 5754, 1026, 3129, 1195, 1068, 29160, 4765, 19853, 1046, 1916, 8106, 1687, 1195, 8394, 7356, 1068, 1026, 3129, 2751, 1009, 1062, 12224, 4913, 3529, 19250, 1118, 14038, 1352, 95, 2988, 78, 4358, 1132, 10418, 1049, 2403, 18212, 1048, 1603, 95, 18437, 1171, 6105, 16145, 1344, 10216, 25117, 1006, 5752, 86, 1236, 12717, 1005, 2213, 1526, 1009, 24232, 1072, 2417, 20577, 2861, 4156, 1392, 2100, 1138, 2403, 1195, 1044, 3189, 1009, 11340, 3685, 1411, 10381, 1140, 1077, 1184, 1009, 2224, 31, 2744, 1009, 9697, 1054, 1224, 8568, 25704, 20, 1138, 4818, 1009, 1603, 95, 18437, 1171, 1072, 2403, 21054, 1006, 9475, 3994, 1043, 2988, 78, 4358, 15212, 2850, 4006, 10084, 1005, 4765, 19853, 1046, 1678, 1044, 16052, 25558, 6904, 1114, 4783, 1009, 30526, 21985, 1114, 1128, 1623, 2100, 1063, 5958, 2521, 1026, 4902, 1068, 16145, 1026, 4575, 5786, 6124, 1114, 1228, 24635, 1006, 2700, 1009, 4132, 2462, 1081, 1145, 1570, 1916, 1138, 3129, 17217, 1195, 1068, 24309, 1051, 1106, 11045, 1005, 1603, 95, 18437, 1171, 16876, 1006, 1853, 12717, 5592, 6336, 1009, 2462, 1081, 1961, 1142, 19861, 15529, 1802, 5024, 4575, 1998, 1195, 12999, 1054, 19357, 5106, 1916, 1138, 16665, 1049, 28561, 3314, 13464, 1273, 4388, 1048, 1026, 19140, 1009, 1603, 95, 18437, 1171, 1159, 1142, 19861, 1344, 2344, 1516, 2072, 12479, 1048, 1264, 1006, 10661, 1184, 2624, 1072, 4299, 1049, 1048, 1264, 8394, 25300, 1114, 1944, 19210, 1603, 95, 18437, 1171, 7981, 1054, 1782, 8810, 1009, 4864, 1006, 4483, 2286, 9861, 1603, 95, 18437, 1171, 16876, 1006, 13959, 4948, 1120, 4385, 3129, 4823, 1356, 4148, 10866, 19859, 10343, 1068, 9475, 1054, 1094, 1271, 7828, 5314, 1049, 2403, 1776, 1167, 1205, 5006, 7662, 1118, 7828, 20631, 29924, 1043, 7002, 4306, 1005, 7335, 20, 1505, 1224, 1666, 2094, 9475, 3994, 1043, 2089, 25757, 1049, 10872, 4857, 1044, 6859, 1049, 6682, 4594, 1009, 10949, 1009, 1142, 6716, 2095, 1009, 6195, 26650, 20, 1776, 1592, 4183, 16876, 1026, 4575, 1023, 21582, 4289, 1082, 6237, 18, 1072, 2403, 8636, 8724, 1163, 1146, 20, 1482, 7269, 1603, 95, 18437, 1171, 7981, 1054, 3251, 8810, 1009, 16490, 76, 1336, 1159, 11967, 1087, 1609, 1005, 2569, 1044, 3129, 2751, 1159, 1574, 88, 1398, 95, 1072, 9636, 31686, 4875, 11338, 1128, 1202, 4875, 1283, 2735, 8412, 1400, 1049, 6971, 1005, 4148, 23793, 1180, 1685, 81, 1728, 1603, 95, 18437, 1171, 1318, 17282, 1043, 1044, 3129, 4863, 1159, 4510, 1434, 18992, 4190, 1054, 26462, 19170, 20, 1551, 4864, 1006, 7269, 1603, 95, 18437, 1171, 2521, 2754, 23016, 1054, 11253, 1009, 18391, 2966, 11352, 18, 4298, 12879, 13116, 1283, 27587, 32, 26986, 5837, 5536, 89, 1431, 14184, 8724, 1119, 1019, 7, 1005, 11017, 47, 32, 31787, 1060, 5338, 1049, 8241, 1113, 2102, 28, 620, 2008, 9558, 1587, 25418, 7177, 7346, 1009, 1603, 95, 18437, 1171, 4857, 6522, 3121, 1213, 1235, 3129, 1114, 16804, 1140, 2700, 23122, 1009, 4132, 1060, 1207, 40, 7185, 9550, 9422, 20, 1063, 2700, 11213, 1054, 6019, 1009, 1094, 2531, 1025, 1719, 3222, 6407, 1291, 15471, 13776, 1114, 1428, 1603, 95, 18437, 1171, 18881, 20025, 4471, 9917, 7429, 1006, 1944, 5380, 1009, 6525, 1005, 7597, 18, 1048, 3961, 1717, 1006, 8459, 1588, 3817, 3556, 1009, 1224, 15899, 9550, 9422, 8731, 1294, 2138, 2365, 1054, 2224, 1009, 3261, 1009, 18089, 1482, 3049, 1009, 7905, 1006, 31112, 12470, 1048, 1603, 95, 18437, 1171, 2470, 1461, 1068, 1006, 4886, 3337, 1049, 15695, 1309, 1048, 2909, 1006, 2046, 5216, 1566, 1048, 1603, 95, 18437, 1171, 26096, 1058, 16976, 1054, 1224, 3560, 25467, 1005, 7024, 4965, 1113, 4439, 1435, 9550, 2988, 6413, 1603, 95, 18437, 1171, 2569, 1044, 3129, 1023, 21582, 4289, 1159, 12517, 1324, 1072, 2403, 1009, 8359, 1009, 3917, 4153, 1042, 12879, 1005, 13007, 4084, 28017, 1213, 2790, 1009, 9487, 4307, 8705, 3551, 1054, 16706, 1183, 1082, 1034, 23556, 1094, 8907, 23907, 6645, 1140, 1068, 1026, 6450, 1009, 1044, 5923, 1009, 5855, 1009, 1592, 22547, 16706, 1183, 1082, 1034, 7, 1195, 1026, 1831, 3129, 2751, 1009, 1603, 95, 18437, 27470, 1138, 2403, 1195, 1026, 12035, 2403, 1009, 1712, 28583, 1009, 7624, 1005, 1054, 2992, 1009, 4119, 1195, 1026, 22952, 0, 2403, 1009, 1712, 28583, 1009, 1664, 1132, 31058, 4490, 7689, 5923, 1054, 16706, 1183, 1082, 1034, 7, 1195, 3941, 1114, 8547, 9759, 1049, 10872, 1068, 1026, 1428, 17160, 3251, 6258, 20, 2800, 1751, 1060, 9050, 1049, 2403, 1005, 1009, 1224, 8547, 2776, 5696, 1603, 95, 18437, 1171, 17160, 1044, 18732, 1060, 2423, 7311, 1053, 1285, 7, 1163, 1053, 1285, 7, 1163 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6179, 16082, 7604, 1005, 6687, 21139, 1040, 1006, 6498, 1065, 1081, 1342, 1005, 22742, 1046, 7474, 4492, 14161, 3634, 1178, 1716, 8003, 8486, 3907, 1996, 1049, 7333, 1009, 7474, 8607, 1142, 1870, 5522, 18, 5593, 12957, 26040, 1265, 1105, 1130, 1044, 4449, 1009, 11018, 51, 56, 1043, 6167, 24166, 2485, 21021, 11703, 1009, 1457, 1104, 2787, 1206, 1009, 1025, 6876, 10589, 3893, 675, 1206, 2924, 4751, 10796, 4289, 1096, 7893, 18210, 1603, 1124, 12265, 4109, 1160, 2133, 3890, 19311, 7508, 1044, 10451, 1054, 11808, 1068, 15085, 11855, 3666, 19135, 1005, 4552, 30530, 9428, 1048, 6326, 2593, 10298, 1006, 1765, 4391, 3772, 1485, 1303, 22940, 2539, 4267, 1009, 15427, 1068, 1006, 3122, 1112, 1009, 11808, 5436, 1103, 1196, 21, 8390, 6720, 1349, 1094, 8545, 1096, 1006, 1128, 28595, 15722, 10231, 17203, 1520, 11668, 1048, 22110, 3291, 1124, 9702, 1060, 3122, 1112, 1005, 7508, 6286, 20, 1063, 15869, 4661, 1043, 1006, 24018, 1009, 7156, 7522, 20951, 23366, 11037, 2882, 1014, 2860, 1409, 1820, 1453, 2255, 6088, 8141, 1409, 1820, 1453, 2255, 1983, 1104, 2787, 6785, 1075, 1645, 1833, 1132, 5065, 84, 2622, 3368, 9524, 96, 11349, 3304, 86, 1626, 3368, 1048, 1998, 1693, 4207, 6163, 1043, 1026, 6621, 1005, 1006, 1465, 4952, 1049, 6023, 3800, 1318, 31048, 5765, 1082, 49, 22826, 4071, 1383, 22806, 30539, 2503, 1081, 5004, 31611, 1207, 1375, 72, 6448, 1017, 1914, 2503, 1105, 12193, 1333, 1049, 11808, 1, 1063, 18483, 1009, 21670, 1239, 1049, 2709, 1096, 1094, 6517, 21060, 1060, 4482, 10708, 1072, 2497, 1049, 2293, 3279, 1049, 2709, 25759, 3367, 18483, 1195, 6754, 1072, 1531, 2128, 1009, 3353, 1009, 11260, 1118, 2191, 1060, 1080, 1814, 1561, 79, 9378, 1633, 14314, 1049, 8985, 3381, 2434, 24066, 1776, 1592, 4604, 1195, 6738, 1235, 1831, 20160, 3058, 4660, 23144, 1631, 20286, 10256, 1658, 24660, 1195, 18781, 1072, 1531, 3939, 1009, 3042, 1009, 17344, 3027, 2281, 1054, 18617, 1599, 1072, 1592, 4604, 1235, 1831, 20160, 3058, 1356, 17990, 1049, 1028, 175, 6197, 7212, 12261, 1100, 4660, 12887, 1046, 2060, 13710, 5107, 18864, 1009, 4284, 10980, 3772, 1014, 1408, 1939, 26423, 7948, 1009, 1984, 31085, 9169, 15264, 1222, 1006, 2322, 6921, 15994, 14164, 1327, 29948, 7016, 1009, 4599, 1395, 2483, 22939, 2469, 675, 1389, 5072, 22939, 2469, 1588, 13482, 22939, 2469, 13677, 22939, 1239, 1005, 1064, 6742, 22939, 1239, 3868, 12961, 1537, 21169, 4175, 1563, 1054, 21670, 1239, 1049, 2709, 1797, 9575, 1239, 5311, 2709, 1, 28627, 29771, 1603, 95, 18437, 1171, 3106, 2796, 1147, 3476, 18, 1307, 1009, 3049, 1009, 2026, 6877, 1096, 1094, 5958, 18, 7197, 1005, 2550, 5571, 9549, 1603, 95, 18437, 1171, 2845, 1006, 11034, 1679, 1984, 2864, 4108, 1986, 2997, 2738, 1114, 3560, 1009, 2550, 20, 1063, 5958, 1096, 8569, 1009, 4306, 4533, 1009, 12788, 2966, 1006, 8907, 4247, 1056, 13041, 1678, 1006, 11322, 1049, 7093, 1551, 1024, 3753, 1005, 1132, 9562, 16706, 1183, 1082, 1034, 7, 1005, 11584, 17352, 158, 1007, 1245, 2223, 1482, 8936, 3661, 1224, 1944, 11980, 1213, 9504, 1118, 2878, 4041, 1571, 16876, 1570, 1129, 4413, 2401, 1005, 1072, 1901, 7715, 6368, 1026, 29616, 1357, 1224, 10647, 1114, 28728, 2045, 28036, 2703, 18, 8846, 1114, 1834, 1060, 1721, 1896, 9582, 31172, 3427, 22169, 1005, 6754, 1054, 6014, 1147, 3476, 18, 18368, 9201, 1603, 95, 18437, 1171, 2845, 1006, 8059, 1024, 1511, 2257, 2475, 1646, 1005, 1006, 11034, 1679, 14545, 1054, 11409, 11588, 1347, 1159, 4782, 95, 4143, 29005, 5895, 1114, 11315, 2034, 2186, 5488, 4365, 1269, 17484, 10536, 5056, 1060, 27596, 1005, 9982, 79, 7619, 76, 5797, 1114, 11315, 13427, 18, 6014, 5256, 16238, 3180, 3210, 30066, 3720, 4857, 6522, 1986, 1224, 6559, 1072, 6450, 1114, 8907, 14963, 4247, 1056, 31882, 3210, 6456, 1005, 1235, 3129, 24756, 1159, 1142, 19861, 1344, 2344, 1114, 2700, 1009, 4132, 1060, 1228, 54, 15020, 2462, 1081, 1145, 22305, 25634, 21603, 7224, 10613, 95, 18437, 1171, 3475, 1006, 4305, 11409, 1023, 21582, 1708, 1054, 4533, 4010, 4837, 1159, 1144, 1699, 4872, 1018, 3210, 6877, 1005, 26462, 19170, 3210, 20155, 1005, 12296, 1079, 20025, 4471, 9917, 1617, 1114, 31112, 2700, 9550, 9422, 27749, 9958, 5056, 4349, 2560, 1054, 4702, 9048, 11409, 3145, 1054, 4533, 1009, 12788, 7481, 1157, 1026, 29753, 5923, 1009, 1807, 3189, 1009, 28583, 16706, 1183, 1082, 1034, 7, 3210, 21566, 1026, 2403, 1009, 8359, 4153, 1042, 2238, 3210, 21566, 1006, 8907, 1009, 8359, 26484, 3490, 28750, 16484, 1349, 1026, 3286, 88, 15988, 2115, 15462, 1574, 1362, 75, 16484, 1349, 1026, 8345, 21864, 1551, 1024, 3753, 13531, 1349, 1006, 8907, 23907, 1142, 3979, 1248, 2604, 4510, 5206, 13531, 1349, 1026, 8359, 7093, 4899, 28413, 1253, 4717, 1085, 4585, 11913, 1026, 2403, 1009, 10759, 8206, 1009, 3597, 1705, 11802, 4585, 11913, 1026, 5923, 11584, 17352, 158, 1007, 27875, 4585, 14537, 1356, 1428, 1195, 17934, 1213, 1067, 16117, 2358, 29892, 1924, 3719, 6904, 1118, 6195, 2430, 16302, 1009, 1044, 2231, 4739, 1009, 1044, 16640, 18, 1026, 10036, 22315, 1163, 2578, 4585, 14537, 1026, 8345, 5409, 17632, 18972, 1045, 2890, 4585, 15640, 1006, 8907, 23907, 2045, 9550, 1313, 24479, 1253, 4585, 15640, 1124, 1043, 29866, 1009, 1067, 3930, 4557, 44, 7254, 1056, 1324, 1063, 9571, 1129, 12425, 89, 2604, 15860, 1098, 2186, 7485, 4585, 6456, 1005, 25526, 1101, 4585, 18160, 1026, 2403, 1009, 16077, 6459, 4585, 18160, 1132, 8343, 1016, 1134, 3082, 1248, 2159, 1119, 2363, 18882, 1248, 4585, 7224, 1005, 17845, 27023, 1171, 4585, 20122, 1006, 8907, 2045, 8972, 86, 1364, 4585, 20122, 1026, 2403, 1009, 10759, 8206, 2376, 1081, 4585, 21566, 1006, 8907, 9674, 1163, 2107, 85, 4585, 21566, 1026, 5923, 16706, 1183, 1082, 1034, 7, 1207, 1281, 6926, 3379, 27445, 1021, 4585, 21566, 1005, 1006, 8907, 23122, 2045, 4158, 1409, 22345, 1098, 2186, 28449, 24020, 1565, 3720, 1318, 2521, 27722, 5278, 1009, 1555, 2113, 1054, 10352, 1159, 8525, 1031, 4585, 5463, 1005, 8735, 1193, 7, 30730, 1565, 1505, 1224, 10647, 1159, 1570, 1129, 4413, 2401, 1054, 2878, 81, 30730, 1349, 3661, 16804, 1112, 1060, 7799, 1005, 1195, 17934, 1213, 1766, 73, 1930, 7764, 1009, 8219, 1005, 22101, 6393, 13, 11562, 2238, 1009, 1853, 5958, 1023, 27570, 17331, 1874, 1009, 1834, 1257, 2202, 95, 18437, 1171, 5810, 1054, 6014, 1147, 3476, 18, 27896, 1072, 1531, 1307, 1009, 3049, 1009, 2026, 2639, 4490, 12902, 11921, 8781, 1870, 1096, 26938, 25285, 3842, 30045, 1005, 1235, 10109, 6161, 1603, 95, 18437, 16828, 1096, 18914, 3617, 3720, 1096, 1009, 14045, 3587, 4094, 6861, 1043, 4863, 5020, 1009, 14045, 6832, 1126, 19624, 2029, 19, 1130, 20902, 1005, 4558, 14369, 1603, 95, 18437, 1171, 1058, 14070, 1114, 4687, 21610, 11121, 11529, 1009, 6014, 1147, 3476, 1054, 5238, 10613, 95, 18437, 1171, 1225, 1094, 7668, 1184, 11454, 18, 26484, 1603, 95, 18437, 16828, 1094, 10795, 1291, 1060, 3688, 1009, 7204, 1009, 9295, 1060, 25270, 2069, 9422, 8495, 20, 1603, 95, 18437, 1171, 20779, 1075, 2923, 1114, 10297, 3847, 8275, 1072, 21382, 1009, 11210, 1309, 1160, 13240, 2433, 1986, 1178, 28100, 1235, 3129, 1054, 4247, 1056, 31882, 7381, 20439, 9742, 10536, 30892, 13823, 1047, 1009, 3560, 1005, 22330, 11259, 1677, 1026, 1557, 1009, 1603, 95, 18437, 1171, 1159, 21792, 1687, 7981, 1054, 13198, 19968, 1894, 1009, 3235, 1009, 30638, 2966, 8429, 6271, 5621, 1100, 1043, 3811, 18882, 1081, 4247, 28093, 1005, 7981, 1054, 2125, 30933, 1060, 2700, 1009, 17495, 1067, 15035, 30450, 11121, 20, 3720, 13145, 1009, 8059, 1024, 1511, 2257, 2128, 2864, 1005, 7687, 1159, 6560, 156, 20368, 1054, 1094, 4668, 1009, 8451, 3983, 1603, 95, 18437, 1171, 2569, 7648, 1009, 22667, 12081, 17068, 1005, 3798, 1079, 1043, 1044, 8795, 1060, 25146, 1511, 1620, 1516, 6570, 6633, 3720, 2845, 1006, 11034, 1159, 6627, 1148, 1114, 2700, 23122, 2129, 25932, 1009, 4132, 1924, 1038, 1253, 14186, 20, 1551, 3303, 1006, 11057, 1687, 16876, 1026, 4575, 24756, 4782, 95, 4143, 29005, 5895, 1114, 11315, 1060, 13998, 6822, 2034, 2186, 5488, 4365, 1269, 20, 3720, 16876, 9982, 79, 7619, 76, 5797, 1114, 11315, 6014, 5256, 16238, 3180, 18, 1060, 13427, 18, 1009, 5073, 1006, 5238, 2286, 11210, 1603, 95, 18437, 1171, 2521, 1026, 4902, 1068, 16145, 1026, 3129, 1009, 24232, 7413, 1054, 4247, 1056, 31882, 33, 5754, 1026, 3129, 1195, 1068, 29160, 4765, 19853, 1046, 1916, 8106, 1687, 1195, 8394, 7356, 1068, 1026, 3129, 2751, 1009, 1062, 12224, 4913, 3529, 19250, 1118, 14038, 1352, 95, 2988, 78, 4358, 1132, 10418, 1049, 2403, 18212, 1048, 1603, 95, 18437, 1171, 6105, 16145, 1344, 10216, 25117, 1006, 5752, 86, 1236, 12717, 1005, 2213, 1526, 1009, 24232, 1072, 2417, 20577, 2861, 4156, 1392, 2100, 1138, 2403, 1195, 1044, 3189, 1009, 11340, 3685, 1411, 10381, 1140, 1077, 1184, 1009, 2224, 31, 2744, 1009, 9697, 1054, 1224, 8568, 25704, 20, 1138, 4818, 1009, 1603, 95, 18437, 1171, 1072, 2403, 21054, 1006, 9475, 3994, 1043, 2988, 78, 4358, 15212, 2850, 4006, 10084, 1005, 4765, 19853, 1046, 1678, 1044, 16052, 25558, 6904, 1114, 4783, 1009, 30526, 21985, 1114, 1128, 1623, 2100, 1063, 5958, 2521, 1026, 4902, 1068, 16145, 1026, 4575, 5786, 6124, 1114, 1228, 24635, 1006, 2700, 1009, 4132, 2462, 1081, 1145, 1570, 1916, 1138, 3129, 17217, 1195, 1068, 24309, 1051, 1106, 11045, 1005, 1603, 95, 18437, 1171, 16876, 1006, 1853, 12717, 5592, 6336, 1009, 2462, 1081, 1961, 1142, 19861, 15529, 1802, 5024, 4575, 1998, 1195, 12999, 1054, 19357, 5106, 1916, 1138, 16665, 1049, 28561, 3314, 13464, 1273, 4388, 1048, 1026, 19140, 1009, 1603, 95, 18437, 1171, 1159, 1142, 19861, 1344, 2344, 1516, 2072, 12479, 1048, 1264, 1006, 10661, 1184, 2624, 1072, 4299, 1049, 1048, 1264, 8394, 25300, 1114, 1944, 19210, 1603, 95, 18437, 1171, 7981, 1054, 1782, 8810, 1009, 4864, 1006, 4483, 2286, 9861, 1603, 95, 18437, 1171, 16876, 1006, 13959, 4948, 1120, 4385, 3129, 4823, 1356, 4148, 10866, 19859, 10343, 1068, 9475, 1054, 1094, 1271, 7828, 5314, 1049, 2403, 1776, 1167, 1205, 5006, 7662, 1118, 7828, 20631, 29924, 1043, 7002, 4306, 1005, 7335, 20, 1505, 1224, 1666, 2094, 9475, 3994, 1043, 2089, 25757, 1049, 10872, 4857, 1044, 6859, 1049, 6682, 4594, 1009, 10949, 1009, 1142, 6716, 2095, 1009, 6195, 26650, 20, 1776, 1592, 4183, 16876, 1026, 4575, 1023, 21582, 4289, 1082, 6237, 18, 1072, 2403, 8636, 8724, 1163, 1146, 20, 1482, 7269, 1603, 95, 18437, 1171, 7981, 1054, 3251, 8810, 1009, 16490, 76, 1336, 1159, 11967, 1087, 1609, 1005, 2569, 1044, 3129, 2751, 1159, 1574, 88, 1398, 95, 1072, 9636, 31686, 4875, 11338, 1128, 1202, 4875, 1283, 2735, 8412, 1400, 1049, 6971, 1005, 4148, 23793, 1180, 1685, 81, 1728, 1603, 95, 18437, 1171, 1318, 17282, 1043, 1044, 3129, 4863, 1159, 4510, 1434, 18992, 4190, 1054, 26462, 19170, 20, 1551, 4864, 1006, 7269, 1603, 95, 18437, 1171, 2521, 2754, 23016, 1054, 11253, 1009, 18391, 2966, 11352, 18, 4298, 12879, 13116, 1283, 27587, 32, 26986, 5837, 5536, 89, 1431, 14184, 8724, 1119, 1019, 7, 1005, 11017, 47, 32, 31787, 1060, 5338, 1049, 8241, 1113, 2102, 28, 620, 2008, 9558, 1587, 25418, 7177, 7346, 1009, 1603, 95, 18437, 1171, 4857, 6522, 3121, 1213, 1235, 3129, 1114, 16804, 1140, 2700, 23122, 1009, 4132, 1060, 1207, 40, 7185, 9550, 9422, 20, 1063, 2700, 11213, 1054, 6019, 1009, 1094, 2531, 1025, 1719, 3222, 6407, 1291, 15471, 13776, 1114, 1428, 1603, 95, 18437, 1171, 18881, 20025, 4471, 9917, 7429, 1006, 1944, 5380, 1009, 6525, 1005, 7597, 18, 1048, 3961, 1717, 1006, 8459, 1588, 3817, 3556, 1009, 1224, 15899, 9550, 9422, 8731, 1294, 2138, 2365, 1054, 2224, 1009, 3261, 1009, 18089, 1482, 3049, 1009, 7905, 1006, 31112, 12470, 1048, 1603, 95, 18437, 1171, 2470, 1461, 1068, 1006, 4886, 3337, 1049, 15695, 1309, 1048, 2909, 1006, 2046, 5216, 1566, 1048, 1603, 95, 18437, 1171, 26096, 1058, 16976, 1054, 1224, 3560, 25467, 1005, 7024, 4965, 1113, 4439, 1435, 9550, 2988, 6413, 1603, 95, 18437, 1171, 2569, 1044, 3129, 1023, 21582, 4289, 1159, 12517, 1324, 1072, 2403, 1009, 8359, 1009, 3917, 4153, 1042, 12879, 1005, 13007, 4084, 28017, 1213, 2790, 1009, 9487, 4307, 8705, 3551, 1054, 16706, 1183, 1082, 1034, 23556, 1094, 8907, 23907, 6645, 1140, 1068, 1026, 6450, 1009, 1044, 5923, 1009, 5855, 1009, 1592, 22547, 16706, 1183, 1082, 1034, 7, 1195, 1026, 1831, 3129, 2751, 1009, 1603, 95, 18437, 27470, 1138, 2403, 1195, 1026, 12035, 2403, 1009, 1712, 28583, 1009, 7624, 1005, 1054, 2992, 1009, 4119, 1195, 1026, 22952, 0, 2403, 1009, 1712, 28583, 1009, 1664, 1132, 31058, 4490, 7689, 5923, 1054, 16706, 1183, 1082, 1034, 7, 1195, 3941, 1114, 8547, 9759, 1049, 10872, 1068, 1026, 1428, 17160, 3251, 6258, 20, 2800, 1751, 1060, 9050, 1049, 2403, 1005, 1009, 1224, 8547, 2776, 5696, 1603, 95, 18437, 1171, 17160, 1044, 18732, 1060, 2423, 7311, 1053, 1285, 7, 1163, 1053, 1285, 7, 1163 ]

[ 1180, 6369, 6904, 1118, 6161, 8461, 1617, 20681, 1014, 1409, 2186, 25638, 1118, 1235, 3077, 2152, 1019, 18067, 15286, 17956, 2100, 1, 22502, 12155, 7216, 1325, 1094, 10510, 30936, 1118, 1044, 4174, 1054, 1044, 25093, 3713, 25786, 1048, 1264, 1836, 23358, 1206, 22167, 1020, 2806, 37, 21694, 32, 11893, 2545, 46, 7759, 4225, 2063, 32, 2654, 26213, 1094, 1287, 1043, 1124, 14867, 1323, 1322, 1264, 1005, 8476, 2071, 1028, 1997, 3020, 1210, 1041, 6785, 1130, 1093, 5073, 1305, 10541, 1048, 1225, 1044, 2863, 1009, 22996, 18, 2364, 2220, 1026, 2092, 5804, 30679, 1096, 1033, 1981, 2998, 25777, 5264, 45, 9435, 7759, 1058, 1299, 18689, 28585, 21809, 7181, 20, 1257, 21567, 2083, 8, 1534, 2068, 1114, 10510, 30936, 1356, 17225, 1096, 7079, 3754, 1048, 1857, 3586, 22167, 1020, 4430, 1043, 1026, 4168, 1048, 5554, 1202, 20, 1138, 3479, 1009, 10510, 1049, 4174, 3598, 12134, 2545, 46, 7759, 8, 1096, 1094, 11980, 5864, 1009, 1224, 31776, 3803, 1138, 4174, 7845, 1048, 15317, 1044, 6687, 1043, 1026, 6743, 20840, 12847, 10807, 1005, 8253, 2071, 1026, 1144, 1997, 1081, 3490, 2487, 4528, 60, 1130, 1093, 5073, 1305, 10541, 1048, 2284, 1044, 2863, 1009, 25112, 3003, 20, 2800, 14097, 2220, 1026, 5804, 30679, 1049, 4174, 1195, 1033, 14286, 1026, 1048, 1096, 1044, 2863, 10745, 20, 1257, 1138, 2490, 1009, 1664, 1132, 8654, 1005, 8340, 1009, 1141, 23740, 1112, 1049, 4174, 1054, 1224, 10510, 31164, 1620, 1184, 1224, 31776, 1112, 1005, 13351, 1582, 1043, 1026, 25093, 5126, 1318, 23060, 10343, 1006, 8680, 18, 14082, 1157, 10113, 1356, 10999, 1063, 8239, 1852, 1049, 17225, 18661, 1299, 18689, 28585, 31378, 7181, 1616, 1406, 1096, 1044, 12855, 5573, 1068, 1734, 4209, 1054, 4957, 1068, 4379, 1026, 25093, 1257, 1257, 1776, 5661, 1096, 17231, 1048, 1026, 4174, 1836, 22167, 1020, 2806, 1043, 1006, 1224, 5554, 1005, 30093, 3171, 21628, 1043, 1026, 25093, 1063, 10510, 8935, 1159, 1044, 12855, 1068, 1734, 4209, 1054, 4957, 1068, 1178, 29078, 85, 1213, 4883, 1044, 4168, 7155, 1005, 1068, 1663, 1224, 3780, 1996, 1009, 1663, 1094, 5554, 2100, 1, 8454, 1006, 4958, 7565, 20, 1257, 1257, 15120, 18867, 1006, 10697, 1184, 11796, 1054, 4612, 1511, 1096, 19133, 1006, 7977, 4358, 2276, 1110, 158, 1184, 4445, 3754, 1159, 1264, 1325, 1058, 8505, 1054, 1094, 11319, 27321, 1, 10628, 2335, 1898, 76, 1051, 1061, 73, 23862, 18421, 6266, 16553, 15, 1096, 1044, 3481, 1098, 1458, 1049, 29726, 1187, 30789, 3607, 16902, 1357, 4751, 7950, 1778, 1206, 1028, 1814, 1060, 7825, 1061, 1029, 1056, 1342, 19200, 94, 15609, 1324, 19489, 1549, 4553, 1357, 19200, 94, 22097, 1060, 7825, 1061, 1029, 1056, 1342, 1054, 17957, 5949, 1159, 5910, 4195, 2755, 1026, 29525, 1060, 7825, 1061, 1029, 1056, 1342, 6266, 1208, 15, 1005, 1456, 31106, 2954, 1478, 22373, 3368, 13556, 7825, 1061, 1139, 5361, 31008, 31847, 13556, 7825, 1875, 4631, 1071, 1212, 8392, 1005, 13556, 7825, 1061, 86, 1130, 4511, 1221, 6266, 2002, 15, 1072, 8620, 1005, 15975, 1187, 7213, 7825, 1061, 73, 23862, 23453, 5345, 1026, 4618, 1068, 1006, 1008, 16553, 9165, 1054, 1094, 11783, 2367, 6226, 1054, 1008, 1208, 1005, 2913, 30697, 9687, 3274, 1140, 1043, 1094, 11480, 14617, 10966, 30789, 1402, 11138, 31309, 1008, 1208, 1349, 28687, 1005, 20783, 3150, 4850, 1187, 13832, 8042, 1213, 16659, 12371, 4690, 12368, 1620, 1160, 19883, 1680, 1319, 1843, 1115, 1229, 5364, 11557, 10310, 1048, 1026, 29525, 1009, 31106, 2954, 1478, 22373, 1391, 1005, 1026, 12511, 10450, 1038, 2389, 1693, 2593, 8042, 1043, 1006, 25958, 8594, 2404, 1060, 28854, 1072, 3863, 6730, 4538, 1508, 1098, 3305, 1035, 1132, 5726, 1060, 1008, 1208, 1005, 1456, 31106, 2954, 7010, 1680, 1159, 1026, 5654, 1060, 1064, 19, 2435, 84, 1041, 1342, 8482, 23000, 1322, 1026, 16659, 1213, 1004, 1925, 1054, 7875, 6166, 1654, 1011, 28, 1005, 16791, 73, 3499, 1478, 1009, 7539, 5472, 9490, 1006, 1011, 1177, 31484, 13188, 11106, 8869, 1049, 10176, 9601, 4208, 6128, 15, 1005, 1006, 6697, 1009, 5715, 1057, 3795, 1009, 21217, 1071, 1471, 15, 11106, 8869, 1049, 10176, 1060, 10450, 9042, 1060, 1004, 4130, 1017, 1684, 1321, 1888, 1197, 9452, 1175, 1004, 73, 76, 15, 1054, 7875, 6166, 23489, 28878, 1229, 1357, 1944, 5326, 1048, 1006, 1008, 14270, 1600, 1126, 1008, 1226, 1005, 1008, 2002, 19840, 3982, 1098, 3305, 2586, 16659, 1213, 1004, 1925, 1054, 7875, 6166, 1654, 2170, 14747, 1508, 1048, 1026, 4283, 5786, 1485, 1303, 1098, 3305, 1035, 1043, 1006, 1064, 73, 3758, 15316, 1989, 1004, 10636, 14747, 1508, 1318, 1048, 1006, 1008, 1208, 1005, 1456, 31106, 2954, 7010, 1098, 3305, 2586, 27322, 1026, 16659, 1213, 1004, 1925, 1054, 16791, 73, 3499, 1478, 1009, 7539, 18213, 1511, 19133, 1213, 2417, 3603, 1005, 1006, 1446, 1706, 1508, 1048, 1026, 1023, 5786, 1485, 1303, 1043, 1006, 1064, 73, 3758, 15316, 1026, 16659, 2601, 9780, 14747, 1508, 1072, 10176, 1009, 1011, 1177, 31484, 13188, 1048, 1006, 1008, 14270, 1600, 1126, 1536, 1126, 1008, 2002, 1005, 1064, 73, 1160, 23142, 1412, 1006, 31100, 7604, 1271, 7875, 6166, 23489, 3249, 1508, 4465, 1060, 6697, 1009, 1005, 1035, 1054, 7875, 6166, 1654, 19840, 1580, 1357, 1008, 14270, 1600, 1126, 1008, 1226, 1005, 1008, 2002, 1511, 4176, 1196, 1213, 2417, 3603, 1005, 14747, 1508, 1048, 1026, 4283, 5786, 1485, 1303, 1043, 1064, 73, 1160, 3758, 1124, 1005, 1035, 2601, 2905, 1357, 1008, 2002, 1005, 1357, 1712, 11669, 1009, 1008, 1226, 1463, 7875, 6166, 23489, 1026, 3863, 2011, 5420, 11810, 7085, 1102, 1009, 1048, 1026, 16659, 1213, 1004, 1925, 1005, 1006, 6697, 1009, 1005, 1035, 1693, 1178, 19840, 1580, 1357, 1008, 1208, 1005, 1456, 31106, 2954, 1478, 1005, 1048, 1006, 1064, 73, 26270, 1054, 3319, 18700, 14024, 1005, 5046, 1717, 1989, 1004, 4906, 9274, 1178, 7356, 1159, 1094, 16848, 1403, 80, 3119, 1526, 12908, 1068, 4379, 8016, 12371, 4690, 25051, 1114, 1008, 16553, 1113, 8197, 1327, 1124, 2880, 5773, 4777, 76, 1051, 1061, 73, 23862, 175, 5863, 7825, 1061, 1029, 1056, 3097, 1064, 19, 2435, 84, 1041, 3097, 12511, 10450, 1038, 9086, 16659, 1213, 1004, 1925, 1, 4223, 32, 4714, 24380, 1124, 9605, 2601, 2905, 1118, 1044, 2380, 17962, 1068, 1006, 2511, 4380, 32, 1428, 1096, 1006, 7562, 4612, 9692, 21567, 6851, 1236, 32, 1123, 1444, 1337, 5631, 13503, 1005, 1963, 5454, 7079, 1009, 13981, 6505, 13720, 1009, 1762, 1029, 6818, 18, 13720, 1009, 3790, 1233, 6117, 1825, 3607, 1494, 1316, 1010, 1009, 17189, 1445, 11072, 1680, 1159, 2073, 6262, 13586, 6573, 1206, 1734, 4267, 1009, 7562, 20570, 4374, 1021, 6314, 20, 6629, 85, 29988, 2237, 3484, 37, 1257, 1063, 2083, 8, 39, 3484, 6851, 1236, 1160, 1096, 5560, 3135, 1054, 6679, 1233, 4960, 8701, 1048, 1096, 1006, 7562, 4612, 9692, 2100, 7630, 23471, 1094, 2919, 1009, 2625, 4267, 1009, 7562, 1048, 1693, 1178, 20235, 1072, 13371, 1060, 29295, 1160, 5420, 1044, 2285, 7347, 1206, 10063, 1068, 1006, 7562, 4612, 3252, 9549, 1257, 1551, 2303, 1043, 1026, 7580, 11900, 13931, 12130, 18, 1006, 1860, 2860, 1060, 7562, 16124, 4598, 1294, 2138, 2365, 1054, 4229, 1195, 1009, 7294, 1675, 3162, 4700, 2308, 3782, 3901, 1048, 6746, 1009, 2252, 1124, 6428, 1294, 4620, 4857, 1184, 1049, 1048, 1989, 20652, 1005, 6746, 4857, 1742, 1554, 2013, 2512, 14632, 1048, 1989, 2285, 1298, 13718, 8769, 1009, 6863, 1159, 31041, 12015, 1005, 3319, 1009, 11305, 3843, 1257, 1257, 10634, 2909, 1184, 4230, 16529, 1048, 1006, 7562, 4612, 9692, 1096, 1009, 2916, 1009, 7294, 1675, 3162, 4700, 2394, 1054, 1472, 1009, 3823, 1094, 2919, 1009, 2625, 4267, 1009, 7562, 1048, 1693, 1178, 20235, 1072, 13371, 1060, 7562, 2100, 1, 6171, 95, 1941, 92, 1081, 1692, 1119, 10975, 78, 15268, 1024, 2145, 7194, 1096, 1094, 10374, 1889, 1009, 3560, 1005, 1006, 1944, 3897, 1006, 1178, 19978, 1049, 17491, 1049, 2671, 1009, 1163, 9549, 3720, 1195, 19482, 1068, 18051, 1668, 5333, 1356, 3633, 2670, 1144, 1685, 13137, 91, 2873, 3840, 74, 9780, 4490, 17621, 5543, 1054, 11767, 1072, 1531, 2322, 1009, 3403, 1009, 15528, 1257, 2773, 1236, 1006, 4958, 7565, 18, 6440, 1026, 3407, 3388, 37, 1257, 6171, 95, 1941, 92, 1081, 1692, 1119, 10975, 78, 15268, 1024, 2145, 7194, 1096, 1094, 2579, 1350, 20, 1257, 1257, 9125, 3035, 5262, 32, 6759, 4499, 20, 10358, 2013, 11246, 1919, 2652, 7833, 2656, 1658, 3484, 1096, 7833, 2656, 20, 1138, 3407, 1160, 5420, 2073, 4734, 1322, 1006, 1359, 1049, 7603, 1009, 6171, 95, 1941, 92, 1081, 1692, 1119, 10975, 78, 15268, 1024, 2145, 28003, 1118, 1616, 1160, 1298, 1178, 7620, 1058, 1687, 1096, 2579, 1350, 1206, 15893, 1, 8295, 1503, 4540, 13467, 1668, 2269, 1043, 12101, 1958, 3123, 18, 2246, 1068, 4982, 1668, 2269, 1195, 1044, 11434, 12202, 1009, 12101, 1958, 3123, 20, 2654, 1160, 5192, 1026, 1048, 5857, 19198, 1005, 1503, 1160, 3002, 4867, 3392, 1044, 1118, 20092, 1026, 2143, 1206, 1026, 1048, 2572, 1048, 4473, 1309, 1096, 11246, 20068, 1026, 15507, 9839, 1857, 1327, 20, 18641, 1580, 1175, 3514, 80, 1177, 1195, 2349, 1091, 1005, 1680, 1006, 6022, 5498, 7224, 1067, 6488, 79, 1175, 1313, 58, 9472, 1668, 1096, 1044, 2269, 1009, 10722, 1324, 1005, 6746, 1271, 3469, 1225, 1963, 1140, 1344, 4071, 40, 1043, 1044, 1344, 10807, 1256, 1206, 6119, 6141, 11115, 1484, 2796, 89, 1048, 1160, 16878, 3592, 23470, 11251, 1223, 1278, 23681, 2536, 2569, 2122, 1118, 73, 1461, 10807, 20, 13372, 1048, 1132, 1795, 1461, 1068, 2071, 2519, 84, 2934, 2402, 2733, 37, 25577, 24056, 10770, 2398, 1508, 1026, 1484, 1362, 1009, 15374, 8673, 1005, 1195, 1657, 24390, 1256, 3192, 14617, 1309, 1160, 27082, 1243, 1206, 2073, 22325, 1138, 1457, 10185, 1009, 28302, 1715, 1063, 17, 18, 1853, 1049, 1048, 1734, 1048, 9470, 1114, 12101, 1958, 3123, 1678, 7088, 1156, 1196, 1137, 8487, 1088, 1715, 4410, 2349, 1091, 1071, 1418, 5956, 2052, 2944, 1020, 2975, 1054, 8198, 1043, 12101, 1958, 3123, 2052, 3665, 4396, 15, 1005, 3593, 21940, 1205, 1040, 1043, 1101, 12418, 1009, 1224, 5342, 20, 1138, 3159, 1195, 1005, 8956, 8028, 1054, 2693, 1094, 3513, 2349, 3017, 1005, 1503, 3074, 24790, 1068, 3689, 17321, 20423, 2505, 1800, 4914, 1516, 2631, 1071, 23459, 15185, 1349, 1309, 1058, 1734, 5942, 1009, 10430, 1413, 1843, 1024, 1503, 4540, 7386, 2350, 8186, 1184, 28496, 1063, 10994, 7492, 1048, 1857, 10067, 3415, 7403, 1256, 1309, 17656, 18, 5319, 1006, 3450, 1322, 6185, 20, 1257, 5344, 1096, 1026, 9151, 2429, 10510, 12654, 9151, 2429, 10510, 1096, 3468, 1667, 1138, 12071, 1017, 3449, 1261, 15006, 1069, 1009, 2088, 8040, 1049, 9868, 18, 1159, 1026, 3073, 80, 2784, 1457, 10185, 1009, 28302, 1005, 1156, 1196, 1137, 8487, 1088, 20, 5126, 1318, 23872, 1202, 1006, 6654, 1049, 9868, 18, 9479, 1026, 23459, 5350, 9744, 1776, 2268, 1857, 8097, 12408, 9530, 1166, 1043, 1124, 3918, 1009, 3415, 78, 1803, 1048, 1857, 1058, 1786, 2644, 1493, 12248, 1114, 1240, 3155, 1009, 9373, 1009, 2519, 84, 2934, 27270, 5126, 1318, 12093, 1026, 3159, 1159, 2169, 2275, 1776, 5661, 1026, 12071, 1017, 2569, 1094, 3513, 2349, 3017, 1309, 1298, 1178, 13611, 21288, 1054, 4845, 1058, 1006, 3450, 1187, 5942, 1049, 10430, 1160, 5275, 20, 1, 3064, 1162, 1694, 1233, 2511, 4960, 32, 2654, 2449, 2281, 1044, 4868, 1118, 2653, 1646, 1005, 13032, 1187, 4859, 4988, 2643, 3330, 3469, 12499, 1068, 4982, 25422, 1857, 1327, 1657, 1783, 5215, 14858, 27551, 21151, 6027, 1072, 1901, 4995, 1005, 8717, 11044, 3532, 1076, 1072, 3810, 1901, 6509, 13292, 1482, 12765, 1094, 11044, 1048, 1503, 2257, 26491, 1009, 1681, 3577, 3556, 1118, 2191, 1531, 13001, 1009, 13518, 1009, 13207, 1005, 1323, 27656, 1068, 4659, 1005, 10551, 1235, 7313, 11841, 3616, 1048, 1836, 1054, 1094, 2236, 1048, 1503, 19138, 1715, 16492, 1005, 5170, 1072, 3319, 1009, 8167, 11736, 2034, 3978, 2829, 1493, 2631, 1715, 2088, 1596, 1044, 8160, 78, 1599, 1309, 1006, 3364, 4313, 1596, 1493, 10238, 14858, 5126, 1318, 3586, 15171, 4412, 13412, 24224, 1654, 1072, 1852, 1049, 1901, 1005, 3586, 1847, 1090, 2021, 1166, 1322, 9282, 8106, 1503, 1836, 1323, 21565, 1068, 5522, 1235, 9824, 1324, 3768, 2088, 6390, 1068, 19782, 16288, 1118, 1323, 1825, 3493, 1054, 1224, 5309, 1009, 9416, 1005, 1663, 1026, 2092, 2011, 1715, 1160, 1096, 4445, 2912, 1043, 1006, 4863, 3513, 11915, 1339, 8635, 2858, 15095, 1048, 5747, 8669, 1024, 1009, 2289, 2912, 1397, 10116, 6027, 1118, 5593, 8894, 1005, 1244, 86, 1945, 17321, 1068, 1132, 13412, 2173, 5048, 2654, 2257, 12678, 1048, 1224, 5154, 16217, 2636, 1516, 1224, 2596, 1009, 6180, 1043, 1026, 12511, 1005, 8253, 1160, 1808, 8357, 13584, 2092, 4843, 20, 3782, 20237, 3587, 20, 22893, 1044, 1557, 1054, 1048, 1503, 1973, 1006, 5806, 1493, 13980, 1048, 1058, 1264, 7211, 4995, 1235, 1557, 1058, 21565, 1068, 1663, 8823, 1054, 1472, 1009, 12139, 1715, 1264, 3012, 1261 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1180, 6369, 6904, 1118, 6161, 8461, 1617, 20681, 1014, 1409, 2186, 25638, 1118, 1235, 3077, 2152, 1019, 18067, 15286, 17956, 2100, 1, 22502, 12155, 7216, 1325, 1094, 10510, 30936, 1118, 1044, 4174, 1054, 1044, 25093, 3713, 25786, 1048, 1264, 1836, 23358, 1206, 22167, 1020, 2806, 37, 21694, 32, 11893, 2545, 46, 7759, 4225, 2063, 32, 2654, 26213, 1094, 1287, 1043, 1124, 14867, 1323, 1322, 1264, 1005, 8476, 2071, 1028, 1997, 3020, 1210, 1041, 6785, 1130, 1093, 5073, 1305, 10541, 1048, 1225, 1044, 2863, 1009, 22996, 18, 2364, 2220, 1026, 2092, 5804, 30679, 1096, 1033, 1981, 2998, 25777, 5264, 45, 9435, 7759, 1058, 1299, 18689, 28585, 21809, 7181, 20, 1257, 21567, 2083, 8, 1534, 2068, 1114, 10510, 30936, 1356, 17225, 1096, 7079, 3754, 1048, 1857, 3586, 22167, 1020, 4430, 1043, 1026, 4168, 1048, 5554, 1202, 20, 1138, 3479, 1009, 10510, 1049, 4174, 3598, 12134, 2545, 46, 7759, 8, 1096, 1094, 11980, 5864, 1009, 1224, 31776, 3803, 1138, 4174, 7845, 1048, 15317, 1044, 6687, 1043, 1026, 6743, 20840, 12847, 10807, 1005, 8253, 2071, 1026, 1144, 1997, 1081, 3490, 2487, 4528, 60, 1130, 1093, 5073, 1305, 10541, 1048, 2284, 1044, 2863, 1009, 25112, 3003, 20, 2800, 14097, 2220, 1026, 5804, 30679, 1049, 4174, 1195, 1033, 14286, 1026, 1048, 1096, 1044, 2863, 10745, 20, 1257, 1138, 2490, 1009, 1664, 1132, 8654, 1005, 8340, 1009, 1141, 23740, 1112, 1049, 4174, 1054, 1224, 10510, 31164, 1620, 1184, 1224, 31776, 1112, 1005, 13351, 1582, 1043, 1026, 25093, 5126, 1318, 23060, 10343, 1006, 8680, 18, 14082, 1157, 10113, 1356, 10999, 1063, 8239, 1852, 1049, 17225, 18661, 1299, 18689, 28585, 31378, 7181, 1616, 1406, 1096, 1044, 12855, 5573, 1068, 1734, 4209, 1054, 4957, 1068, 4379, 1026, 25093, 1257, 1257, 1776, 5661, 1096, 17231, 1048, 1026, 4174, 1836, 22167, 1020, 2806, 1043, 1006, 1224, 5554, 1005, 30093, 3171, 21628, 1043, 1026, 25093, 1063, 10510, 8935, 1159, 1044, 12855, 1068, 1734, 4209, 1054, 4957, 1068, 1178, 29078, 85, 1213, 4883, 1044, 4168, 7155, 1005, 1068, 1663, 1224, 3780, 1996, 1009, 1663, 1094, 5554, 2100, 1, 8454, 1006, 4958, 7565, 20, 1257, 1257, 15120, 18867, 1006, 10697, 1184, 11796, 1054, 4612, 1511, 1096, 19133, 1006, 7977, 4358, 2276, 1110, 158, 1184, 4445, 3754, 1159, 1264, 1325, 1058, 8505, 1054, 1094, 11319, 27321, 1, 10628, 2335, 1898, 76, 1051, 1061, 73, 23862, 18421, 6266, 16553, 15, 1096, 1044, 3481, 1098, 1458, 1049, 29726, 1187, 30789, 3607, 16902, 1357, 4751, 7950, 1778, 1206, 1028, 1814, 1060, 7825, 1061, 1029, 1056, 1342, 19200, 94, 15609, 1324, 19489, 1549, 4553, 1357, 19200, 94, 22097, 1060, 7825, 1061, 1029, 1056, 1342, 1054, 17957, 5949, 1159, 5910, 4195, 2755, 1026, 29525, 1060, 7825, 1061, 1029, 1056, 1342, 6266, 1208, 15, 1005, 1456, 31106, 2954, 1478, 22373, 3368, 13556, 7825, 1061, 1139, 5361, 31008, 31847, 13556, 7825, 1875, 4631, 1071, 1212, 8392, 1005, 13556, 7825, 1061, 86, 1130, 4511, 1221, 6266, 2002, 15, 1072, 8620, 1005, 15975, 1187, 7213, 7825, 1061, 73, 23862, 23453, 5345, 1026, 4618, 1068, 1006, 1008, 16553, 9165, 1054, 1094, 11783, 2367, 6226, 1054, 1008, 1208, 1005, 2913, 30697, 9687, 3274, 1140, 1043, 1094, 11480, 14617, 10966, 30789, 1402, 11138, 31309, 1008, 1208, 1349, 28687, 1005, 20783, 3150, 4850, 1187, 13832, 8042, 1213, 16659, 12371, 4690, 12368, 1620, 1160, 19883, 1680, 1319, 1843, 1115, 1229, 5364, 11557, 10310, 1048, 1026, 29525, 1009, 31106, 2954, 1478, 22373, 1391, 1005, 1026, 12511, 10450, 1038, 2389, 1693, 2593, 8042, 1043, 1006, 25958, 8594, 2404, 1060, 28854, 1072, 3863, 6730, 4538, 1508, 1098, 3305, 1035, 1132, 5726, 1060, 1008, 1208, 1005, 1456, 31106, 2954, 7010, 1680, 1159, 1026, 5654, 1060, 1064, 19, 2435, 84, 1041, 1342, 8482, 23000, 1322, 1026, 16659, 1213, 1004, 1925, 1054, 7875, 6166, 1654, 1011, 28, 1005, 16791, 73, 3499, 1478, 1009, 7539, 5472, 9490, 1006, 1011, 1177, 31484, 13188, 11106, 8869, 1049, 10176, 9601, 4208, 6128, 15, 1005, 1006, 6697, 1009, 5715, 1057, 3795, 1009, 21217, 1071, 1471, 15, 11106, 8869, 1049, 10176, 1060, 10450, 9042, 1060, 1004, 4130, 1017, 1684, 1321, 1888, 1197, 9452, 1175, 1004, 73, 76, 15, 1054, 7875, 6166, 23489, 28878, 1229, 1357, 1944, 5326, 1048, 1006, 1008, 14270, 1600, 1126, 1008, 1226, 1005, 1008, 2002, 19840, 3982, 1098, 3305, 2586, 16659, 1213, 1004, 1925, 1054, 7875, 6166, 1654, 2170, 14747, 1508, 1048, 1026, 4283, 5786, 1485, 1303, 1098, 3305, 1035, 1043, 1006, 1064, 73, 3758, 15316, 1989, 1004, 10636, 14747, 1508, 1318, 1048, 1006, 1008, 1208, 1005, 1456, 31106, 2954, 7010, 1098, 3305, 2586, 27322, 1026, 16659, 1213, 1004, 1925, 1054, 16791, 73, 3499, 1478, 1009, 7539, 18213, 1511, 19133, 1213, 2417, 3603, 1005, 1006, 1446, 1706, 1508, 1048, 1026, 1023, 5786, 1485, 1303, 1043, 1006, 1064, 73, 3758, 15316, 1026, 16659, 2601, 9780, 14747, 1508, 1072, 10176, 1009, 1011, 1177, 31484, 13188, 1048, 1006, 1008, 14270, 1600, 1126, 1536, 1126, 1008, 2002, 1005, 1064, 73, 1160, 23142, 1412, 1006, 31100, 7604, 1271, 7875, 6166, 23489, 3249, 1508, 4465, 1060, 6697, 1009, 1005, 1035, 1054, 7875, 6166, 1654, 19840, 1580, 1357, 1008, 14270, 1600, 1126, 1008, 1226, 1005, 1008, 2002, 1511, 4176, 1196, 1213, 2417, 3603, 1005, 14747, 1508, 1048, 1026, 4283, 5786, 1485, 1303, 1043, 1064, 73, 1160, 3758, 1124, 1005, 1035, 2601, 2905, 1357, 1008, 2002, 1005, 1357, 1712, 11669, 1009, 1008, 1226, 1463, 7875, 6166, 23489, 1026, 3863, 2011, 5420, 11810, 7085, 1102, 1009, 1048, 1026, 16659, 1213, 1004, 1925, 1005, 1006, 6697, 1009, 1005, 1035, 1693, 1178, 19840, 1580, 1357, 1008, 1208, 1005, 1456, 31106, 2954, 1478, 1005, 1048, 1006, 1064, 73, 26270, 1054, 3319, 18700, 14024, 1005, 5046, 1717, 1989, 1004, 4906, 9274, 1178, 7356, 1159, 1094, 16848, 1403, 80, 3119, 1526, 12908, 1068, 4379, 8016, 12371, 4690, 25051, 1114, 1008, 16553, 1113, 8197, 1327, 1124, 2880, 5773, 4777, 76, 1051, 1061, 73, 23862, 175, 5863, 7825, 1061, 1029, 1056, 3097, 1064, 19, 2435, 84, 1041, 3097, 12511, 10450, 1038, 9086, 16659, 1213, 1004, 1925, 1, 4223, 32, 4714, 24380, 1124, 9605, 2601, 2905, 1118, 1044, 2380, 17962, 1068, 1006, 2511, 4380, 32, 1428, 1096, 1006, 7562, 4612, 9692, 21567, 6851, 1236, 32, 1123, 1444, 1337, 5631, 13503, 1005, 1963, 5454, 7079, 1009, 13981, 6505, 13720, 1009, 1762, 1029, 6818, 18, 13720, 1009, 3790, 1233, 6117, 1825, 3607, 1494, 1316, 1010, 1009, 17189, 1445, 11072, 1680, 1159, 2073, 6262, 13586, 6573, 1206, 1734, 4267, 1009, 7562, 20570, 4374, 1021, 6314, 20, 6629, 85, 29988, 2237, 3484, 37, 1257, 1063, 2083, 8, 39, 3484, 6851, 1236, 1160, 1096, 5560, 3135, 1054, 6679, 1233, 4960, 8701, 1048, 1096, 1006, 7562, 4612, 9692, 2100, 7630, 23471, 1094, 2919, 1009, 2625, 4267, 1009, 7562, 1048, 1693, 1178, 20235, 1072, 13371, 1060, 29295, 1160, 5420, 1044, 2285, 7347, 1206, 10063, 1068, 1006, 7562, 4612, 3252, 9549, 1257, 1551, 2303, 1043, 1026, 7580, 11900, 13931, 12130, 18, 1006, 1860, 2860, 1060, 7562, 16124, 4598, 1294, 2138, 2365, 1054, 4229, 1195, 1009, 7294, 1675, 3162, 4700, 2308, 3782, 3901, 1048, 6746, 1009, 2252, 1124, 6428, 1294, 4620, 4857, 1184, 1049, 1048, 1989, 20652, 1005, 6746, 4857, 1742, 1554, 2013, 2512, 14632, 1048, 1989, 2285, 1298, 13718, 8769, 1009, 6863, 1159, 31041, 12015, 1005, 3319, 1009, 11305, 3843, 1257, 1257, 10634, 2909, 1184, 4230, 16529, 1048, 1006, 7562, 4612, 9692, 1096, 1009, 2916, 1009, 7294, 1675, 3162, 4700, 2394, 1054, 1472, 1009, 3823, 1094, 2919, 1009, 2625, 4267, 1009, 7562, 1048, 1693, 1178, 20235, 1072, 13371, 1060, 7562, 2100, 1, 6171, 95, 1941, 92, 1081, 1692, 1119, 10975, 78, 15268, 1024, 2145, 7194, 1096, 1094, 10374, 1889, 1009, 3560, 1005, 1006, 1944, 3897, 1006, 1178, 19978, 1049, 17491, 1049, 2671, 1009, 1163, 9549, 3720, 1195, 19482, 1068, 18051, 1668, 5333, 1356, 3633, 2670, 1144, 1685, 13137, 91, 2873, 3840, 74, 9780, 4490, 17621, 5543, 1054, 11767, 1072, 1531, 2322, 1009, 3403, 1009, 15528, 1257, 2773, 1236, 1006, 4958, 7565, 18, 6440, 1026, 3407, 3388, 37, 1257, 6171, 95, 1941, 92, 1081, 1692, 1119, 10975, 78, 15268, 1024, 2145, 7194, 1096, 1094, 2579, 1350, 20, 1257, 1257, 9125, 3035, 5262, 32, 6759, 4499, 20, 10358, 2013, 11246, 1919, 2652, 7833, 2656, 1658, 3484, 1096, 7833, 2656, 20, 1138, 3407, 1160, 5420, 2073, 4734, 1322, 1006, 1359, 1049, 7603, 1009, 6171, 95, 1941, 92, 1081, 1692, 1119, 10975, 78, 15268, 1024, 2145, 28003, 1118, 1616, 1160, 1298, 1178, 7620, 1058, 1687, 1096, 2579, 1350, 1206, 15893, 1, 8295, 1503, 4540, 13467, 1668, 2269, 1043, 12101, 1958, 3123, 18, 2246, 1068, 4982, 1668, 2269, 1195, 1044, 11434, 12202, 1009, 12101, 1958, 3123, 20, 2654, 1160, 5192, 1026, 1048, 5857, 19198, 1005, 1503, 1160, 3002, 4867, 3392, 1044, 1118, 20092, 1026, 2143, 1206, 1026, 1048, 2572, 1048, 4473, 1309, 1096, 11246, 20068, 1026, 15507, 9839, 1857, 1327, 20, 18641, 1580, 1175, 3514, 80, 1177, 1195, 2349, 1091, 1005, 1680, 1006, 6022, 5498, 7224, 1067, 6488, 79, 1175, 1313, 58, 9472, 1668, 1096, 1044, 2269, 1009, 10722, 1324, 1005, 6746, 1271, 3469, 1225, 1963, 1140, 1344, 4071, 40, 1043, 1044, 1344, 10807, 1256, 1206, 6119, 6141, 11115, 1484, 2796, 89, 1048, 1160, 16878, 3592, 23470, 11251, 1223, 1278, 23681, 2536, 2569, 2122, 1118, 73, 1461, 10807, 20, 13372, 1048, 1132, 1795, 1461, 1068, 2071, 2519, 84, 2934, 2402, 2733, 37, 25577, 24056, 10770, 2398, 1508, 1026, 1484, 1362, 1009, 15374, 8673, 1005, 1195, 1657, 24390, 1256, 3192, 14617, 1309, 1160, 27082, 1243, 1206, 2073, 22325, 1138, 1457, 10185, 1009, 28302, 1715, 1063, 17, 18, 1853, 1049, 1048, 1734, 1048, 9470, 1114, 12101, 1958, 3123, 1678, 7088, 1156, 1196, 1137, 8487, 1088, 1715, 4410, 2349, 1091, 1071, 1418, 5956, 2052, 2944, 1020, 2975, 1054, 8198, 1043, 12101, 1958, 3123, 2052, 3665, 4396, 15, 1005, 3593, 21940, 1205, 1040, 1043, 1101, 12418, 1009, 1224, 5342, 20, 1138, 3159, 1195, 1005, 8956, 8028, 1054, 2693, 1094, 3513, 2349, 3017, 1005, 1503, 3074, 24790, 1068, 3689, 17321, 20423, 2505, 1800, 4914, 1516, 2631, 1071, 23459, 15185, 1349, 1309, 1058, 1734, 5942, 1009, 10430, 1413, 1843, 1024, 1503, 4540, 7386, 2350, 8186, 1184, 28496, 1063, 10994, 7492, 1048, 1857, 10067, 3415, 7403, 1256, 1309, 17656, 18, 5319, 1006, 3450, 1322, 6185, 20, 1257, 5344, 1096, 1026, 9151, 2429, 10510, 12654, 9151, 2429, 10510, 1096, 3468, 1667, 1138, 12071, 1017, 3449, 1261, 15006, 1069, 1009, 2088, 8040, 1049, 9868, 18, 1159, 1026, 3073, 80, 2784, 1457, 10185, 1009, 28302, 1005, 1156, 1196, 1137, 8487, 1088, 20, 5126, 1318, 23872, 1202, 1006, 6654, 1049, 9868, 18, 9479, 1026, 23459, 5350, 9744, 1776, 2268, 1857, 8097, 12408, 9530, 1166, 1043, 1124, 3918, 1009, 3415, 78, 1803, 1048, 1857, 1058, 1786, 2644, 1493, 12248, 1114, 1240, 3155, 1009, 9373, 1009, 2519, 84, 2934, 27270, 5126, 1318, 12093, 1026, 3159, 1159, 2169, 2275, 1776, 5661, 1026, 12071, 1017, 2569, 1094, 3513, 2349, 3017, 1309, 1298, 1178, 13611, 21288, 1054, 4845, 1058, 1006, 3450, 1187, 5942, 1049, 10430, 1160, 5275, 20, 1, 3064, 1162, 1694, 1233, 2511, 4960, 32, 2654, 2449, 2281, 1044, 4868, 1118, 2653, 1646, 1005, 13032, 1187, 4859, 4988, 2643, 3330, 3469, 12499, 1068, 4982, 25422, 1857, 1327, 1657, 1783, 5215, 14858, 27551, 21151, 6027, 1072, 1901, 4995, 1005, 8717, 11044, 3532, 1076, 1072, 3810, 1901, 6509, 13292, 1482, 12765, 1094, 11044, 1048, 1503, 2257, 26491, 1009, 1681, 3577, 3556, 1118, 2191, 1531, 13001, 1009, 13518, 1009, 13207, 1005, 1323, 27656, 1068, 4659, 1005, 10551, 1235, 7313, 11841, 3616, 1048, 1836, 1054, 1094, 2236, 1048, 1503, 19138, 1715, 16492, 1005, 5170, 1072, 3319, 1009, 8167, 11736, 2034, 3978, 2829, 1493, 2631, 1715, 2088, 1596, 1044, 8160, 78, 1599, 1309, 1006, 3364, 4313, 1596, 1493, 10238, 14858, 5126, 1318, 3586, 15171, 4412, 13412, 24224, 1654, 1072, 1852, 1049, 1901, 1005, 3586, 1847, 1090, 2021, 1166, 1322, 9282, 8106, 1503, 1836, 1323, 21565, 1068, 5522, 1235, 9824, 1324, 3768, 2088, 6390, 1068, 19782, 16288, 1118, 1323, 1825, 3493, 1054, 1224, 5309, 1009, 9416, 1005, 1663, 1026, 2092, 2011, 1715, 1160, 1096, 4445, 2912, 1043, 1006, 4863, 3513, 11915, 1339, 8635, 2858, 15095, 1048, 5747, 8669, 1024, 1009, 2289, 2912, 1397, 10116, 6027, 1118, 5593, 8894, 1005, 1244, 86, 1945, 17321, 1068, 1132, 13412, 2173, 5048, 2654, 2257, 12678, 1048, 1224, 5154, 16217, 2636, 1516, 1224, 2596, 1009, 6180, 1043, 1026, 12511, 1005, 8253, 1160, 1808, 8357, 13584, 2092, 4843, 20, 3782, 20237, 3587, 20, 22893, 1044, 1557, 1054, 1048, 1503, 1973, 1006, 5806, 1493, 13980, 1048, 1058, 1264, 7211, 4995, 1235, 1557, 1058, 21565, 1068, 1663, 8823, 1054, 1472, 1009, 12139, 1715, 1264, 3012, 1261 ]

[ 3822, 13667, 1005, 1184, 1009, 1094, 1472, 1068, 1048, 1026, 4575, 5846, 1295, 1132, 9669, 2137, 15343, 12548, 3311, 12647, 1096, 1006, 3484, 1213, 4241, 1009, 7245, 1322, 1132, 5942, 1009, 10685, 4051, 1048, 13136, 1463, 9297, 32, 1726, 2624, 1096, 4230, 4125, 1026, 21868, 1184, 1009, 1094, 1472, 1114, 6046, 1068, 1048, 1006, 3597, 28203, 20, 1, 11288, 9547, 8091, 21478, 21814, 1156, 1197, 1123, 2970, 2794, 6138, 5202, 15, 1175, 10943, 59, 22671, 9435, 3209, 1138, 1048, 3291, 1996, 1009, 1848, 1175, 11090, 1026, 1048, 1124, 1783, 1826, 9485, 1175, 27662, 19853, 27924, 1383, 3096, 1095, 12028, 1054, 8653, 17238, 5960, 1605, 1048, 1663, 4236, 1009, 11288, 9547, 8091, 21478, 21814, 1156, 1197, 1123, 2970, 2324, 20, 0, 2128, 1009, 20241, 1063, 3280, 1005, 20991, 1137, 4875, 1054, 25982, 1467, 3280, 1005, 20991, 7971, 1678, 23527, 1027, 1005, 14725, 2686, 1209, 1009, 16638, 1005, 3538, 1576, 78, 1875, 11489, 4429, 13196, 1324, 18542, 15974, 3399, 11111, 6109, 1018, 3186, 25, 2081, 8809, 1797, 3051, 1243, 1009, 6392, 1009, 10192, 30147, 1051, 1072, 8313, 1009, 3226, 45, 2361, 1271, 4789, 1170, 1387, 2370, 29384, 2323, 1009, 7294, 1158, 2443, 30, 10552, 64, 85, 75, 5444, 1094, 6621, 2279, 1009, 4229, 5, 1130, 2307, 2754, 2624, 1118, 9269, 17590, 2348, 9418, 29957, 1054, 25982, 3670, 2449, 18270, 9175, 3074, 21573, 1006, 5872, 16778, 1660, 1005, 1566, 30542, 1054, 2252, 1124, 16697, 1009, 25982, 1356, 2444, 1094, 16991, 7186, 4424, 11288, 9547, 8091, 1096, 1026, 2092, 3653, 2784, 3702, 1160, 2374, 4236, 1009, 7943, 1159, 4557, 1022, 7194, 1324, 1026, 8703, 1005, 1006, 2236, 20032, 1526, 1327, 2072, 5215, 14858, 1766, 5918, 1732, 1327, 5350, 1678, 1006, 0, 3528, 1045, 1180, 5444, 1094, 6621, 1286, 1009, 4053, 2995, 1045, 1263, 3694, 8809, 3665, 28, 12055, 2708, 7533, 13479, 11094, 5380, 2569, 1235, 9914, 2307, 1668, 7313, 2013, 4417, 5872, 1026, 1048, 1663, 1043, 30968, 1009, 2224, 1005, 2523, 2864, 1309, 1616, 1195, 9994, 20, 2034, 13852, 6011, 1094, 5095, 1005, 1503, 3012, 26982, 1024, 19114, 8837, 1072, 7074, 1060, 2236, 1009, 7483, 1059, 59, 4546, 1056, 4878, 5444, 1094, 6621, 8662, 1009, 4053, 5, 4969, 12055, 29, 7533, 13479, 1605, 1602, 8409, 1160, 1493, 6794, 1060, 6500, 30786, 1493, 15185, 1006, 9418, 14419, 1009, 1184, 1009, 1158, 1646, 17865, 1657, 1044, 11115, 16841, 1068, 1026, 7483, 1005, 8354, 1072, 9791, 1009, 1011, 11930, 3279, 9418, 1009, 4466, 1005, 4236, 1060, 6500, 1576, 3685, 1106, 5444, 1094, 6621, 1449, 1009, 4053, 1759, 1104, 1248, 9533, 4037, 5546, 2023, 28, 2830, 12236, 4059, 23, 7533, 13479, 13758, 1105, 1435, 1132, 7771, 2650, 10222, 1532, 17485, 1060, 2759, 1187, 5089, 25015, 1054, 3028, 3808, 3696, 1054, 18542, 15974, 12875, 1048, 1060, 4958, 1472, 1048, 1857, 1693, 2593, 12740, 2307, 1159, 1224, 2573, 1009, 7744, 1072, 25982, 1156, 1197, 16118, 1054, 7189, 11853, 1005, 1178, 18241, 1188, 1059, 59, 4546, 1056, 4878, 5444, 1094, 6621, 2256, 1009, 4161, 22802, 3263, 1072, 9591, 23076, 30786, 16175, 5136, 14419, 2237, 9418, 4292, 1837, 1646, 7, 21753, 1041, 3830, 1160, 1096, 1006, 9418, 1184, 11845, 1009, 18542, 15974, 1309, 1096, 1006, 1184, 4958, 1060, 8363, 1766, 31001, 1620, 1327, 7215, 1132, 7841, 1009, 2595, 1646, 17865, 2276, 3012, 1663, 1043, 1044, 4674, 11115, 16841, 20, 5126, 22768, 1046, 2088, 3538, 0, 3141, 1780, 1154, 1347, 7024, 24463, 1664, 1132, 10723, 30, 3459, 13379, 4236, 28016, 1664, 1132, 1290, 14730, 4236, 24463, 1664, 1132, 10723, 30, 3459, 13379, 4236, 24463, 2252, 1124, 4004, 2830, 28, 13847, 4236, 1, 15819, 1060, 20893, 11828, 1196, 1096, 4107, 1853, 16796, 1114, 1307, 0, 3536, 1049, 6670, 13727, 1534, 83, 1009, 24448, 10177, 1152, 1264, 1589, 14173, 1152, 3093, 92, 2911, 1007, 7292, 1797, 43, 53, 1060, 20893, 11828, 1196, 1096, 4107, 1853, 16796, 1114, 1307, 0, 3536, 1049, 6670, 13727, 1534, 83, 1009, 24448, 10177, 1605, 6670, 13727, 1534, 83, 1009, 24448, 10177, 7123, 1048, 1325, 1054, 1224, 1307, 0, 3536, 1005, 5140, 3068, 15628, 1559, 2471, 5500, 2698, 1026, 10451, 1054, 6545, 13251, 1005, 15819, 1060, 20893, 11828, 5842, 25340, 15781, 4906, 1159, 6195, 11581, 22989, 10177, 2904, 1092, 1140, 1054, 7127, 1006, 20893, 11828, 1196, 1071, 5008, 1362, 80, 1214, 16996, 1196, 7796, 15, 1096, 1094, 5732, 1048, 4351, 3480, 1068, 1006, 4173, 1009, 7943, 23138, 1005, 1225, 1159, 3489, 28487, 3033, 1006, 3583, 1009, 6941, 1005, 24793, 24113, 1072, 27915, 19511, 1533, 12779, 5140, 1890, 1026, 3366, 6664, 1041, 16330, 51, 6854, 1054, 1764, 4989, 2170, 2247, 1060, 7350, 1187, 28733, 4261, 7312, 1043, 18423, 1322, 11504, 1009, 14173, 6664, 31477, 1084, 17203, 6587, 12203, 28348, 18147, 1005, 27668, 14173, 1068, 4161, 4578, 25340, 15781, 4906, 1026, 6859, 1096, 3435, 1009, 1044, 8449, 2464, 1043, 1493, 6730, 1058, 4312, 28460, 3943, 6859, 1096, 8690, 1233, 2759, 1060, 20893, 11828, 1196, 1048, 1323, 9121, 1006, 10596, 1005, 1006, 10927, 1006, 5732, 1072, 1048, 1687, 1096, 13630, 14530, 1664, 1493, 11672, 1010, 1009, 5115, 28487, 3033, 1006, 3583, 1049, 4674, 1005, 6970, 16596, 1291, 1072, 6545, 13251, 4011, 1406, 2612, 28104, 1667, 1, 8584, 1009, 3149, 1009, 3837, 1152, 10535, 78, 9595, 1797, 1016, 1140, 1837, 8111, 1646, 1043, 11123, 9268, 9332, 1119, 1418, 18720, 79, 1479, 1119, 1418, 5787, 1068, 1132, 5410, 16985, 1058, 3913, 1068, 1124, 5376, 3866, 1580, 1072, 5333, 1009, 1944, 5166, 3556, 1049, 18529, 3598, 12792, 78, 1089, 9670, 2864, 3074, 8451, 1140, 1837, 1487, 1005, 3004, 1323, 14259, 1221, 1233, 15899, 9072, 1616, 2155, 5525, 2855, 1605, 1048, 9606, 37, 1150, 22076, 9728, 1006, 25556, 2983, 1049, 7341, 1060, 15743, 16277, 1571, 2947, 1026, 12510, 1009, 4153, 3749, 20993, 1118, 2191, 1009, 5198, 9169, 1084, 15140, 1068, 1026, 11169, 1026, 2743, 8779, 30564, 1049, 11079, 21496, 1009, 18394, 1009, 20450, 1068, 21642, 8, 1605, 8270, 1160, 21923, 5525, 1371, 1068, 1026, 15148, 17670, 14076, 2574, 4248, 4929, 1680, 23416, 1054, 1207, 19786, 7249, 3150, 1084, 1026, 12510, 2947, 2307, 20591, 1054, 26212, 1127, 2223, 8, 9832, 3568, 37, 1063, 7779, 1096, 2991, 1009, 14418, 1957, 19, 4404, 1122, 1333, 1377, 3793, 1079, 4865, 6861, 1026, 9268, 1736, 1096, 10315, 8668, 1084, 1752, 1044, 1187, 5089, 1225, 1224, 3486, 16980, 2855, 1, 8886, 1044, 1225, 1094, 14712, 1005, 3484, 16851, 31297, 7155, 1006, 3028, 9525, 31223, 1505, 1616, 1096, 1048, 4234, 1783, 17315, 1044, 7279, 9870, 4234, 7707, 2625, 1049, 1048, 5140, 20, 1603, 3230, 4626, 1508, 5525, 2073, 27326, 1114, 3028, 5297, 10395, 5525, 1159, 3230, 3675, 2315, 1026, 1784, 1005, 12252, 2315, 1679, 16250, 20, 1063, 14712, 1043, 1048, 28871, 1508, 1757, 1044, 4308, 1009, 15817, 1272, 1009, 9883, 1322, 1026, 2823, 19, 2745, 1049, 1428, 1058, 6744, 1114, 3028, 6386, 1704, 2497, 1009, 9179, 1005, 1009, 25589, 8199, 1072, 2930, 2380, 3197, 5361, 1096, 7620, 1118, 4306, 25273, 1159, 1118, 3018, 1357, 2042, 1060, 3028, 30544, 1118, 7593, 1886, 1575, 1192, 1229, 1357, 18184, 1206, 15490, 1213, 6975, 4458, 1005, 12209, 1905, 1060, 16899, 1048, 2755, 1511, 3473, 4716, 14421, 1060, 1834, 1195, 31776, 8772, 1533, 3894, 1976, 4007, 1130, 27268, 1068, 1048, 1006, 1834, 1318, 4007, 71, 1043, 6685, 20, 19567, 3894, 13879, 1009, 1094, 4633, 18, 30453, 4241, 2328, 1049, 9727, 1104, 1220, 4140, 3250, 6723, 1054, 1702, 2446, 1009, 1871, 2170, 5738, 8089, 1233, 1224, 4633, 23926, 2034, 25110, 3634, 3698, 8416, 1054, 3473, 1871, 1206, 7246, 1996, 1048, 6326, 4845, 1233, 1224, 4599, 20, 7766, 9175, 3819, 2863, 32, 4319, 1044, 2380, 1009, 3894, 1009, 6975, 4458, 1048, 7684, 1352, 15827, 1233, 1871, 1005, 2922, 1068, 1006, 1224, 4633, 20, 2013, 1026, 2568, 1009, 2054, 1236, 1005, 26979, 1060, 26540, 2034, 25110, 20701, 2125, 15972, 16832, 1060, 1871, 32, 1132, 3794, 2381, 8424, 1124, 5426, 12119, 1005, 1026, 2930, 2823, 3566, 3617, 7630, 1616, 1929, 2049, 10505, 1009, 2596, 4007, 1091, 1005, 10544, 18304, 1726, 2624, 5934, 3473, 3616, 1048, 16483, 75, 1005, 25589, 1316, 1007, 1989, 23352, 1, 7727, 1049, 19936, 5471, 20414, 11677, 1068, 16012, 8631, 1305, 15713, 1175, 4632, 14047, 1907, 1431, 1020, 2972, 1175, 1156, 46, 59, 7985, 5096, 1009, 11705, 10024, 1349, 1006, 6068, 6990, 1049, 8653, 3517, 27028, 1360, 4031, 1005, 1101, 20414, 11677, 1068, 30949, 1026, 13206, 2981, 2890, 6227, 3947, 20349, 1118, 12469, 1049, 12819, 3064, 7165, 11939, 3306, 56, 15908, 2271, 3268, 1049, 1901, 16326, 1776, 11100, 2125, 16445, 2848, 13591, 1791, 16699, 1005, 2848, 3978, 1596, 6604, 2905, 1049, 12277, 2034, 14033, 1048, 7949, 3010, 3121, 1213, 9242, 12543, 1610, 26029, 1100, 22962, 1009, 5654, 10226, 1005, 6985, 4602, 1009, 1008, 2537, 1126, 10979, 1132, 4181, 1823, 26408, 1620, 1072, 2386, 1005, 1846, 1596, 1756, 1312, 1068, 1026, 7590, 4285, 5201, 17325, 1009, 8750, 1533, 4734, 1096, 8858, 1118, 7436, 1163, 45, 15020, 10535, 20643, 9958, 2443, 1213, 25709, 1006, 4734, 1060, 10129, 7945, 1485, 4797, 4578, 1132, 8813, 1049, 1082, 56, 6806, 1124, 6428, 1998, 12201, 3417, 1026, 9795, 1175, 1048, 1325, 23365, 2271, 4119, 1175, 1986, 1026, 2671, 3871, 1044, 2386, 1068, 29663, 11788, 1783, 1704, 2671, 1049, 8653, 3517, 17661, 1006, 5980, 1159, 1044, 5083, 27843, 2100, 3943, 7051, 3004, 1195, 1114, 14814, 1009, 10034, 1005, 1072, 8112, 1303, 1005, 17662, 1187, 1048, 3586, 3062, 2453, 1406, 1973, 1006, 19978, 1009, 2773, 10800, 12120, 2898, 30363, 3144, 1138, 4449, 4331, 4277, 1132, 20414, 11677, 1060, 7727, 6231, 1157, 1132, 1305, 15713, 17169, 13206, 2981, 2890, 10721, 2284, 2281, 20349, 1118, 2916, 1009, 2224, 1783, 1005, 1422, 14033, 1054, 8750, 20, 25313, 15417, 1026, 20550, 17635, 1026, 2671, 1049, 8653, 3517, 3510, 1079, 1094, 5980, 25467, 1043, 1184, 1009, 1360, 8419, 1005, 1101, 26886, 1229, 16478, 1157, 1124, 6428, 20, 1063, 5980, 1195, 3806, 1009, 5083, 27843, 8, 1356, 6615, 1049, 19936, 2098, 7173, 5338, 1009, 18280, 1206, 1495, 1592, 1026, 24808, 24075, 1054, 1094, 1641, 2453, 1009, 1044, 1908, 1054, 3781, 20519, 1159, 1006, 16191, 7655, 1114, 4556, 1616, 5140, 1114, 5096, 3019, 8184, 10024, 1349, 1054, 8750, 5721, 1184, 1009, 1360, 4031, 12248, 4527, 2585, 25177, 1009, 3781, 1005, 1101, 26886, 1229, 1026, 2671, 1049, 8653, 3517, 4713, 8546, 6428, 1048, 3586, 26518, 1044, 9795, 1114, 3861, 0, 621, 1026, 13206, 2981, 2890, 10721, 16943, 1006, 9269, 1006, 12015, 2284, 2281, 9678, 1009, 8181, 1118, 1751, 1049, 6483, 6007, 2955, 11242, 1106, 2840, 19903, 1349, 1048, 19395, 1094, 13321, 3746, 1893, 1118, 1751, 1060, 6068, 6990, 25143, 8147, 1005, 7555, 72, 1754, 8, 1132, 3842, 1708, 3915, 1224, 3922, 1072, 21023, 1026, 6483, 2284, 11684, 1048, 7349, 6068, 6990, 1325, 1155, 2051, 1140, 1005, 5225, 1236, 1009, 10881, 1006, 1224, 6280, 1009, 1169, 4023, 1024, 1026, 15476, 10721, 11073, 1072, 3152, 1009, 8750, 1406, 4741, 5986, 1006, 19978, 1009, 2773, 10800, 12120, 2898, 30363, 1024, 1704, 4472, 74, 14037, 1069, 1620, 2521, 5812, 11957, 1573, 1043, 1006, 19978, 14768, 57, 12518, 5954, 7009, 1026, 29852, 1060, 7727, 5807, 1668, 6976, 0, 92, 1214, 11849, 1060, 1224, 15899, 28983, 8866, 9075, 1024, 1005, 8290, 1132, 5089, 1114, 4044, 1114, 2290, 1914, 1060, 6935, 11294, 5698, 1271, 8181, 1049, 4784, 1599, 1160, 1558, 3506, 16802, 2989, 1114, 5980, 3510, 1140, 1356, 6615, 10866, 16022, 26698, 11055, 16822, 1717, 1006, 12015, 3590, 8560, 1049, 7659, 3842, 1599, 7444, 10486, 6428, 20, 12757, 2444, 2224, 2829, 4031, 1005, 3680, 4029, 1009, 10335, 2966, 9343, 1229, 1005, 2916, 1009, 1422, 3978, 16943, 1006, 29060, 1044, 3842, 1526, 2793, 23662, 1043, 1044, 10378, 1009, 28832, 1009, 22886, 18, 1005, 3978, 7949, 3010, 3121, 1213, 2490, 1009, 9242, 12543, 1610, 26029, 1100, 17020, 1009, 5654, 10226, 1005, 6985, 4602, 1009, 26603, 1118, 1751, 1187, 8419, 18, 1048, 6231, 2241, 1132, 3842, 1708, 1072, 9616, 1005, 1294, 1101, 20414, 11677, 1533, 1012, 12983, 2745, 1026, 2671, 1566, 2284, 1359, 6523, 1006, 3894, 1294, 4679, 2250, 2453, 1049, 25209, 2037, 2247, 1009, 6467, 1130, 1006, 3583, 1009, 6648, 1005, 3111, 0, 621, 0, 31866, 12875, 1048, 2284, 3978, 2453, 1049, 7659, 9003, 1132, 8813, 1049, 12819, 1060, 3064, 7165, 11939, 3306, 56, 15908, 26002, 4644, 1060, 5827, 1005, 1941, 82, 4070, 22607, 1124, 6428, 1998, 12201, 5392, 1049, 9795, 1986, 1026, 2671, 3871, 1044, 2386, 1068, 29663, 1068, 1132, 3842, 5157, 7657, 15417, 14495, 1049, 2671, 1049, 6307, 40, 1009, 1150, 1352, 1130, 1009, 1871, 20445, 12991, 8, 0, 621, 0, 85, 1048, 1026, 6615, 5404, 2301, 1159, 10221, 1068, 1006, 13321, 31050, 1704, 9795, 1049, 7659, 1058, 3250, 23365, 2271, 7240, 1305, 2073, 28315, 1063, 12820, 1620, 8853, 1665, 1048, 1118 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3822, 13667, 1005, 1184, 1009, 1094, 1472, 1068, 1048, 1026, 4575, 5846, 1295, 1132, 9669, 2137, 15343, 12548, 3311, 12647, 1096, 1006, 3484, 1213, 4241, 1009, 7245, 1322, 1132, 5942, 1009, 10685, 4051, 1048, 13136, 1463, 9297, 32, 1726, 2624, 1096, 4230, 4125, 1026, 21868, 1184, 1009, 1094, 1472, 1114, 6046, 1068, 1048, 1006, 3597, 28203, 20, 1, 11288, 9547, 8091, 21478, 21814, 1156, 1197, 1123, 2970, 2794, 6138, 5202, 15, 1175, 10943, 59, 22671, 9435, 3209, 1138, 1048, 3291, 1996, 1009, 1848, 1175, 11090, 1026, 1048, 1124, 1783, 1826, 9485, 1175, 27662, 19853, 27924, 1383, 3096, 1095, 12028, 1054, 8653, 17238, 5960, 1605, 1048, 1663, 4236, 1009, 11288, 9547, 8091, 21478, 21814, 1156, 1197, 1123, 2970, 2324, 20, 0, 2128, 1009, 20241, 1063, 3280, 1005, 20991, 1137, 4875, 1054, 25982, 1467, 3280, 1005, 20991, 7971, 1678, 23527, 1027, 1005, 14725, 2686, 1209, 1009, 16638, 1005, 3538, 1576, 78, 1875, 11489, 4429, 13196, 1324, 18542, 15974, 3399, 11111, 6109, 1018, 3186, 25, 2081, 8809, 1797, 3051, 1243, 1009, 6392, 1009, 10192, 30147, 1051, 1072, 8313, 1009, 3226, 45, 2361, 1271, 4789, 1170, 1387, 2370, 29384, 2323, 1009, 7294, 1158, 2443, 30, 10552, 64, 85, 75, 5444, 1094, 6621, 2279, 1009, 4229, 5, 1130, 2307, 2754, 2624, 1118, 9269, 17590, 2348, 9418, 29957, 1054, 25982, 3670, 2449, 18270, 9175, 3074, 21573, 1006, 5872, 16778, 1660, 1005, 1566, 30542, 1054, 2252, 1124, 16697, 1009, 25982, 1356, 2444, 1094, 16991, 7186, 4424, 11288, 9547, 8091, 1096, 1026, 2092, 3653, 2784, 3702, 1160, 2374, 4236, 1009, 7943, 1159, 4557, 1022, 7194, 1324, 1026, 8703, 1005, 1006, 2236, 20032, 1526, 1327, 2072, 5215, 14858, 1766, 5918, 1732, 1327, 5350, 1678, 1006, 0, 3528, 1045, 1180, 5444, 1094, 6621, 1286, 1009, 4053, 2995, 1045, 1263, 3694, 8809, 3665, 28, 12055, 2708, 7533, 13479, 11094, 5380, 2569, 1235, 9914, 2307, 1668, 7313, 2013, 4417, 5872, 1026, 1048, 1663, 1043, 30968, 1009, 2224, 1005, 2523, 2864, 1309, 1616, 1195, 9994, 20, 2034, 13852, 6011, 1094, 5095, 1005, 1503, 3012, 26982, 1024, 19114, 8837, 1072, 7074, 1060, 2236, 1009, 7483, 1059, 59, 4546, 1056, 4878, 5444, 1094, 6621, 8662, 1009, 4053, 5, 4969, 12055, 29, 7533, 13479, 1605, 1602, 8409, 1160, 1493, 6794, 1060, 6500, 30786, 1493, 15185, 1006, 9418, 14419, 1009, 1184, 1009, 1158, 1646, 17865, 1657, 1044, 11115, 16841, 1068, 1026, 7483, 1005, 8354, 1072, 9791, 1009, 1011, 11930, 3279, 9418, 1009, 4466, 1005, 4236, 1060, 6500, 1576, 3685, 1106, 5444, 1094, 6621, 1449, 1009, 4053, 1759, 1104, 1248, 9533, 4037, 5546, 2023, 28, 2830, 12236, 4059, 23, 7533, 13479, 13758, 1105, 1435, 1132, 7771, 2650, 10222, 1532, 17485, 1060, 2759, 1187, 5089, 25015, 1054, 3028, 3808, 3696, 1054, 18542, 15974, 12875, 1048, 1060, 4958, 1472, 1048, 1857, 1693, 2593, 12740, 2307, 1159, 1224, 2573, 1009, 7744, 1072, 25982, 1156, 1197, 16118, 1054, 7189, 11853, 1005, 1178, 18241, 1188, 1059, 59, 4546, 1056, 4878, 5444, 1094, 6621, 2256, 1009, 4161, 22802, 3263, 1072, 9591, 23076, 30786, 16175, 5136, 14419, 2237, 9418, 4292, 1837, 1646, 7, 21753, 1041, 3830, 1160, 1096, 1006, 9418, 1184, 11845, 1009, 18542, 15974, 1309, 1096, 1006, 1184, 4958, 1060, 8363, 1766, 31001, 1620, 1327, 7215, 1132, 7841, 1009, 2595, 1646, 17865, 2276, 3012, 1663, 1043, 1044, 4674, 11115, 16841, 20, 5126, 22768, 1046, 2088, 3538, 0, 3141, 1780, 1154, 1347, 7024, 24463, 1664, 1132, 10723, 30, 3459, 13379, 4236, 28016, 1664, 1132, 1290, 14730, 4236, 24463, 1664, 1132, 10723, 30, 3459, 13379, 4236, 24463, 2252, 1124, 4004, 2830, 28, 13847, 4236, 1, 15819, 1060, 20893, 11828, 1196, 1096, 4107, 1853, 16796, 1114, 1307, 0, 3536, 1049, 6670, 13727, 1534, 83, 1009, 24448, 10177, 1152, 1264, 1589, 14173, 1152, 3093, 92, 2911, 1007, 7292, 1797, 43, 53, 1060, 20893, 11828, 1196, 1096, 4107, 1853, 16796, 1114, 1307, 0, 3536, 1049, 6670, 13727, 1534, 83, 1009, 24448, 10177, 1605, 6670, 13727, 1534, 83, 1009, 24448, 10177, 7123, 1048, 1325, 1054, 1224, 1307, 0, 3536, 1005, 5140, 3068, 15628, 1559, 2471, 5500, 2698, 1026, 10451, 1054, 6545, 13251, 1005, 15819, 1060, 20893, 11828, 5842, 25340, 15781, 4906, 1159, 6195, 11581, 22989, 10177, 2904, 1092, 1140, 1054, 7127, 1006, 20893, 11828, 1196, 1071, 5008, 1362, 80, 1214, 16996, 1196, 7796, 15, 1096, 1094, 5732, 1048, 4351, 3480, 1068, 1006, 4173, 1009, 7943, 23138, 1005, 1225, 1159, 3489, 28487, 3033, 1006, 3583, 1009, 6941, 1005, 24793, 24113, 1072, 27915, 19511, 1533, 12779, 5140, 1890, 1026, 3366, 6664, 1041, 16330, 51, 6854, 1054, 1764, 4989, 2170, 2247, 1060, 7350, 1187, 28733, 4261, 7312, 1043, 18423, 1322, 11504, 1009, 14173, 6664, 31477, 1084, 17203, 6587, 12203, 28348, 18147, 1005, 27668, 14173, 1068, 4161, 4578, 25340, 15781, 4906, 1026, 6859, 1096, 3435, 1009, 1044, 8449, 2464, 1043, 1493, 6730, 1058, 4312, 28460, 3943, 6859, 1096, 8690, 1233, 2759, 1060, 20893, 11828, 1196, 1048, 1323, 9121, 1006, 10596, 1005, 1006, 10927, 1006, 5732, 1072, 1048, 1687, 1096, 13630, 14530, 1664, 1493, 11672, 1010, 1009, 5115, 28487, 3033, 1006, 3583, 1049, 4674, 1005, 6970, 16596, 1291, 1072, 6545, 13251, 4011, 1406, 2612, 28104, 1667, 1, 8584, 1009, 3149, 1009, 3837, 1152, 10535, 78, 9595, 1797, 1016, 1140, 1837, 8111, 1646, 1043, 11123, 9268, 9332, 1119, 1418, 18720, 79, 1479, 1119, 1418, 5787, 1068, 1132, 5410, 16985, 1058, 3913, 1068, 1124, 5376, 3866, 1580, 1072, 5333, 1009, 1944, 5166, 3556, 1049, 18529, 3598, 12792, 78, 1089, 9670, 2864, 3074, 8451, 1140, 1837, 1487, 1005, 3004, 1323, 14259, 1221, 1233, 15899, 9072, 1616, 2155, 5525, 2855, 1605, 1048, 9606, 37, 1150, 22076, 9728, 1006, 25556, 2983, 1049, 7341, 1060, 15743, 16277, 1571, 2947, 1026, 12510, 1009, 4153, 3749, 20993, 1118, 2191, 1009, 5198, 9169, 1084, 15140, 1068, 1026, 11169, 1026, 2743, 8779, 30564, 1049, 11079, 21496, 1009, 18394, 1009, 20450, 1068, 21642, 8, 1605, 8270, 1160, 21923, 5525, 1371, 1068, 1026, 15148, 17670, 14076, 2574, 4248, 4929, 1680, 23416, 1054, 1207, 19786, 7249, 3150, 1084, 1026, 12510, 2947, 2307, 20591, 1054, 26212, 1127, 2223, 8, 9832, 3568, 37, 1063, 7779, 1096, 2991, 1009, 14418, 1957, 19, 4404, 1122, 1333, 1377, 3793, 1079, 4865, 6861, 1026, 9268, 1736, 1096, 10315, 8668, 1084, 1752, 1044, 1187, 5089, 1225, 1224, 3486, 16980, 2855, 1, 8886, 1044, 1225, 1094, 14712, 1005, 3484, 16851, 31297, 7155, 1006, 3028, 9525, 31223, 1505, 1616, 1096, 1048, 4234, 1783, 17315, 1044, 7279, 9870, 4234, 7707, 2625, 1049, 1048, 5140, 20, 1603, 3230, 4626, 1508, 5525, 2073, 27326, 1114, 3028, 5297, 10395, 5525, 1159, 3230, 3675, 2315, 1026, 1784, 1005, 12252, 2315, 1679, 16250, 20, 1063, 14712, 1043, 1048, 28871, 1508, 1757, 1044, 4308, 1009, 15817, 1272, 1009, 9883, 1322, 1026, 2823, 19, 2745, 1049, 1428, 1058, 6744, 1114, 3028, 6386, 1704, 2497, 1009, 9179, 1005, 1009, 25589, 8199, 1072, 2930, 2380, 3197, 5361, 1096, 7620, 1118, 4306, 25273, 1159, 1118, 3018, 1357, 2042, 1060, 3028, 30544, 1118, 7593, 1886, 1575, 1192, 1229, 1357, 18184, 1206, 15490, 1213, 6975, 4458, 1005, 12209, 1905, 1060, 16899, 1048, 2755, 1511, 3473, 4716, 14421, 1060, 1834, 1195, 31776, 8772, 1533, 3894, 1976, 4007, 1130, 27268, 1068, 1048, 1006, 1834, 1318, 4007, 71, 1043, 6685, 20, 19567, 3894, 13879, 1009, 1094, 4633, 18, 30453, 4241, 2328, 1049, 9727, 1104, 1220, 4140, 3250, 6723, 1054, 1702, 2446, 1009, 1871, 2170, 5738, 8089, 1233, 1224, 4633, 23926, 2034, 25110, 3634, 3698, 8416, 1054, 3473, 1871, 1206, 7246, 1996, 1048, 6326, 4845, 1233, 1224, 4599, 20, 7766, 9175, 3819, 2863, 32, 4319, 1044, 2380, 1009, 3894, 1009, 6975, 4458, 1048, 7684, 1352, 15827, 1233, 1871, 1005, 2922, 1068, 1006, 1224, 4633, 20, 2013, 1026, 2568, 1009, 2054, 1236, 1005, 26979, 1060, 26540, 2034, 25110, 20701, 2125, 15972, 16832, 1060, 1871, 32, 1132, 3794, 2381, 8424, 1124, 5426, 12119, 1005, 1026, 2930, 2823, 3566, 3617, 7630, 1616, 1929, 2049, 10505, 1009, 2596, 4007, 1091, 1005, 10544, 18304, 1726, 2624, 5934, 3473, 3616, 1048, 16483, 75, 1005, 25589, 1316, 1007, 1989, 23352, 1, 7727, 1049, 19936, 5471, 20414, 11677, 1068, 16012, 8631, 1305, 15713, 1175, 4632, 14047, 1907, 1431, 1020, 2972, 1175, 1156, 46, 59, 7985, 5096, 1009, 11705, 10024, 1349, 1006, 6068, 6990, 1049, 8653, 3517, 27028, 1360, 4031, 1005, 1101, 20414, 11677, 1068, 30949, 1026, 13206, 2981, 2890, 6227, 3947, 20349, 1118, 12469, 1049, 12819, 3064, 7165, 11939, 3306, 56, 15908, 2271, 3268, 1049, 1901, 16326, 1776, 11100, 2125, 16445, 2848, 13591, 1791, 16699, 1005, 2848, 3978, 1596, 6604, 2905, 1049, 12277, 2034, 14033, 1048, 7949, 3010, 3121, 1213, 9242, 12543, 1610, 26029, 1100, 22962, 1009, 5654, 10226, 1005, 6985, 4602, 1009, 1008, 2537, 1126, 10979, 1132, 4181, 1823, 26408, 1620, 1072, 2386, 1005, 1846, 1596, 1756, 1312, 1068, 1026, 7590, 4285, 5201, 17325, 1009, 8750, 1533, 4734, 1096, 8858, 1118, 7436, 1163, 45, 15020, 10535, 20643, 9958, 2443, 1213, 25709, 1006, 4734, 1060, 10129, 7945, 1485, 4797, 4578, 1132, 8813, 1049, 1082, 56, 6806, 1124, 6428, 1998, 12201, 3417, 1026, 9795, 1175, 1048, 1325, 23365, 2271, 4119, 1175, 1986, 1026, 2671, 3871, 1044, 2386, 1068, 29663, 11788, 1783, 1704, 2671, 1049, 8653, 3517, 17661, 1006, 5980, 1159, 1044, 5083, 27843, 2100, 3943, 7051, 3004, 1195, 1114, 14814, 1009, 10034, 1005, 1072, 8112, 1303, 1005, 17662, 1187, 1048, 3586, 3062, 2453, 1406, 1973, 1006, 19978, 1009, 2773, 10800, 12120, 2898, 30363, 3144, 1138, 4449, 4331, 4277, 1132, 20414, 11677, 1060, 7727, 6231, 1157, 1132, 1305, 15713, 17169, 13206, 2981, 2890, 10721, 2284, 2281, 20349, 1118, 2916, 1009, 2224, 1783, 1005, 1422, 14033, 1054, 8750, 20, 25313, 15417, 1026, 20550, 17635, 1026, 2671, 1049, 8653, 3517, 3510, 1079, 1094, 5980, 25467, 1043, 1184, 1009, 1360, 8419, 1005, 1101, 26886, 1229, 16478, 1157, 1124, 6428, 20, 1063, 5980, 1195, 3806, 1009, 5083, 27843, 8, 1356, 6615, 1049, 19936, 2098, 7173, 5338, 1009, 18280, 1206, 1495, 1592, 1026, 24808, 24075, 1054, 1094, 1641, 2453, 1009, 1044, 1908, 1054, 3781, 20519, 1159, 1006, 16191, 7655, 1114, 4556, 1616, 5140, 1114, 5096, 3019, 8184, 10024, 1349, 1054, 8750, 5721, 1184, 1009, 1360, 4031, 12248, 4527, 2585, 25177, 1009, 3781, 1005, 1101, 26886, 1229, 1026, 2671, 1049, 8653, 3517, 4713, 8546, 6428, 1048, 3586, 26518, 1044, 9795, 1114, 3861, 0, 621, 1026, 13206, 2981, 2890, 10721, 16943, 1006, 9269, 1006, 12015, 2284, 2281, 9678, 1009, 8181, 1118, 1751, 1049, 6483, 6007, 2955, 11242, 1106, 2840, 19903, 1349, 1048, 19395, 1094, 13321, 3746, 1893, 1118, 1751, 1060, 6068, 6990, 25143, 8147, 1005, 7555, 72, 1754, 8, 1132, 3842, 1708, 3915, 1224, 3922, 1072, 21023, 1026, 6483, 2284, 11684, 1048, 7349, 6068, 6990, 1325, 1155, 2051, 1140, 1005, 5225, 1236, 1009, 10881, 1006, 1224, 6280, 1009, 1169, 4023, 1024, 1026, 15476, 10721, 11073, 1072, 3152, 1009, 8750, 1406, 4741, 5986, 1006, 19978, 1009, 2773, 10800, 12120, 2898, 30363, 1024, 1704, 4472, 74, 14037, 1069, 1620, 2521, 5812, 11957, 1573, 1043, 1006, 19978, 14768, 57, 12518, 5954, 7009, 1026, 29852, 1060, 7727, 5807, 1668, 6976, 0, 92, 1214, 11849, 1060, 1224, 15899, 28983, 8866, 9075, 1024, 1005, 8290, 1132, 5089, 1114, 4044, 1114, 2290, 1914, 1060, 6935, 11294, 5698, 1271, 8181, 1049, 4784, 1599, 1160, 1558, 3506, 16802, 2989, 1114, 5980, 3510, 1140, 1356, 6615, 10866, 16022, 26698, 11055, 16822, 1717, 1006, 12015, 3590, 8560, 1049, 7659, 3842, 1599, 7444, 10486, 6428, 20, 12757, 2444, 2224, 2829, 4031, 1005, 3680, 4029, 1009, 10335, 2966, 9343, 1229, 1005, 2916, 1009, 1422, 3978, 16943, 1006, 29060, 1044, 3842, 1526, 2793, 23662, 1043, 1044, 10378, 1009, 28832, 1009, 22886, 18, 1005, 3978, 7949, 3010, 3121, 1213, 2490, 1009, 9242, 12543, 1610, 26029, 1100, 17020, 1009, 5654, 10226, 1005, 6985, 4602, 1009, 26603, 1118, 1751, 1187, 8419, 18, 1048, 6231, 2241, 1132, 3842, 1708, 1072, 9616, 1005, 1294, 1101, 20414, 11677, 1533, 1012, 12983, 2745, 1026, 2671, 1566, 2284, 1359, 6523, 1006, 3894, 1294, 4679, 2250, 2453, 1049, 25209, 2037, 2247, 1009, 6467, 1130, 1006, 3583, 1009, 6648, 1005, 3111, 0, 621, 0, 31866, 12875, 1048, 2284, 3978, 2453, 1049, 7659, 9003, 1132, 8813, 1049, 12819, 1060, 3064, 7165, 11939, 3306, 56, 15908, 26002, 4644, 1060, 5827, 1005, 1941, 82, 4070, 22607, 1124, 6428, 1998, 12201, 5392, 1049, 9795, 1986, 1026, 2671, 3871, 1044, 2386, 1068, 29663, 1068, 1132, 3842, 5157, 7657, 15417, 14495, 1049, 2671, 1049, 6307, 40, 1009, 1150, 1352, 1130, 1009, 1871, 20445, 12991, 8, 0, 621, 0, 85, 1048, 1026, 6615, 5404, 2301, 1159, 10221, 1068, 1006, 13321, 31050, 1704, 9795, 1049, 7659, 1058, 3250, 23365, 2271, 7240, 1305, 2073, 28315, 1063, 12820, 1620, 8853, 1665, 1048, 1118 ]

[ 1836, 1043, 17294, 1005, 31197, 1026, 1557, 22489, 1257, 1257, 2858, 4604, 1026, 6650, 1009, 4627, 2793, 1049, 6633, 4490, 4809, 2569, 1048, 1756, 4882, 1213, 22643, 6968, 4627, 10911, 1072, 12751, 1068, 1006, 21710, 2200, 12477, 83, 29657, 2328, 1060, 11368, 1219, 1126, 10069, 2808, 2637, 1068, 1043, 2652, 8028, 1026, 1048, 1264, 4748, 1516, 1094, 11454, 1064, 1889, 1009, 23340, 1048, 1836, 17206, 3062, 1118, 16787, 2200, 8951, 1043, 1044, 8129, 3298, 1009, 1064, 1889, 30448, 14641, 1005, 1639, 11576, 1072, 26988, 3320, 8991, 1079, 13771, 8523, 1309, 1195, 1006, 3964, 3616, 1048, 1264, 3012, 2808, 20, 1257, 21310, 6095, 9342, 4627, 1009, 1041, 2923, 1114, 1457, 1126, 1235, 29391, 1620, 5437, 4475, 2200, 10815, 1322, 1026, 1048, 2909, 1261, 9272, 5434, 1068, 14308, 1664, 1132, 12627, 1972, 1160, 1261, 1048, 1058, 20808, 1058, 23600, 3473, 3616, 1068, 1026, 25305, 3144, 1138, 8299, 1026, 4454, 9468, 1324, 1309, 1318, 1026, 2521, 7620, 1006, 5525, 1009, 23470, 1257, 1257, 1776, 1531, 2511, 1114, 14595, 4627, 3456, 1079, 1043, 1235, 4868, 20, 2200, 7312, 1006, 1687, 1322, 1224, 18744, 1159, 1264, 1836, 1043, 17294, 1026, 1557, 13877, 1005, 1159, 1616, 1836, 30867, 4975, 5193, 1114, 4044, 1005, 1043, 1456, 23581, 5024, 4868, 7351, 31260, 1005, 16605, 18883, 20, 1257, 1257, 14114, 1229, 1857, 18926, 1044, 4367, 20, 1138, 4868, 1009, 4627, 1026, 5808, 1079, 1043, 1044, 4235, 1009, 9272, 2386, 1048, 18540, 7483, 1060, 5096, 1005, 19142, 1068, 1124, 3978, 1880, 1041, 5010, 3720, 1318, 3456, 1079, 1043, 1026, 21173, 1009, 4352, 2094, 1048, 18540, 1006, 4627, 3790, 1005, 3480, 1068, 18883, 1006, 6180, 1043, 1224, 15779, 1005, 12511, 20, 1257, 1257, 1424, 1044, 2574, 1009, 29002, 1006, 1834, 1009, 4627, 7209, 20, 2200, 1160, 1195, 1184, 1068, 1006, 14143, 1043, 13971, 1324, 1005, 1264, 3012, 1058, 16976, 1853, 1114, 24825, 9049, 6299, 1009, 3894, 2496, 9446, 18, 1005, 1264, 3012, 20708, 1043, 1456, 5410, 1305, 1058, 4877, 31197, 1026, 1557, 22489, 2200, 1318, 2521, 3398, 5410, 1072, 4235, 1009, 23417, 3978, 1048, 3586, 6718, 1118, 7653, 9839, 1159, 11249, 1257, 1257, 1063, 2869, 1009, 4627, 1043, 1224, 2531, 1318, 1853, 10449, 4490, 4809, 1195, 1340, 1076, 1357, 29002, 1005, 1857, 7937, 20291, 1371, 8312, 1068, 14549, 1043, 1184, 8692, 20, 5126, 6884, 1006, 1058, 16412, 8435, 1005, 4627, 18853, 1048, 1836, 2289, 1680, 1068, 9364, 3629, 1511, 1264, 1760, 7052, 1257, 1257, 6836, 1009, 9613, 4627, 8743, 7781, 7407, 2200, 13756, 1048, 1726, 2624, 1006, 1834, 1096, 19228, 1309, 1837, 1927, 1783, 1048, 1826, 1277, 5084, 1006, 2213, 3144, 10179, 2923, 1184, 18388, 1778, 1005, 20829, 18, 12875, 1048, 2257, 6419, 1136, 1094, 4087, 4417, 20, 4627, 13756, 1006, 18185, 1124, 6828, 3469, 1114, 5297, 1159, 1094, 20496, 26040, 1044, 4729, 1017, 8837, 1005, 1026, 3445, 1009, 1224, 2531, 1005, 23581, 1257, 1776, 7223, 4627, 13756, 1048, 1160, 1966, 1026, 15507, 12647, 1124, 3469, 6326, 10272, 1870, 1837, 1927, 6728, 20, 2200, 2257, 1044, 4409, 1184, 7850, 1233, 1224, 3349, 2246, 2257, 31996, 1006, 12002, 1006, 7730, 1149, 1005, 1006, 2598, 10446, 8607, 1, 8454, 1094, 12254, 4987, 1322, 1159, 1094, 3271, 9080, 10507, 3506, 1005, 30178, 1224, 7820, 4159, 1206, 8459, 20, 2430, 7128, 1124, 1011, 3180, 7198, 1124, 3540, 1005, 1132, 19225, 1060, 3271, 1048, 20952, 1006, 12473, 1024, 1456, 7180, 3408, 1005, 1011, 3180, 11821, 8017, 8512, 8745, 1009, 1159, 1006, 6640, 1060, 3271, 5341, 1079, 1224, 1834, 1005, 1011, 3180, 11821, 26205, 1026, 3239, 1005, 1026, 2468, 1009, 1224, 27196, 1006, 2822, 1009, 14451, 1006, 12769, 1009, 1224, 3513, 1005, 12119, 1054, 6019, 2429, 3271, 10507, 21218, 2474, 1074, 8140, 18, 2348, 23223, 1516, 1094, 4633, 7903, 1009, 3445, 1005, 3790, 1114, 2348, 8150, 3720, 1516, 1094, 12767, 7954, 2528, 1005, 1224, 8459, 26222, 1393, 1664, 1132, 8040, 1009, 1224, 8150, 5024, 9797, 1098, 25885, 1629, 1043, 3219, 1005, 1224, 16980, 1072, 1622, 1060, 16311, 6011, 1044, 9278, 5802, 1114, 2348, 3486, 12921, 3843, 1257, 1257, 7027, 1132, 5550, 1229, 2348, 23223, 1323, 22402, 1233, 6661, 1043, 16550, 1063, 6661, 1048, 1687, 20121, 1393, 1516, 4671, 1005, 12942, 6800, 1309, 1026, 7549, 1009, 4668, 1005, 3445, 1048, 1503, 15519, 1048, 2284, 25365, 8342, 2654, 29935, 13276, 1172, 2972, 1043, 1006, 7520, 2300, 2094, 6993, 1026, 18969, 1244, 1645, 1005, 4877, 1006, 4281, 1009, 3219, 1054, 2930, 2191, 20, 11329, 23223, 1927, 5174, 1461, 1026, 7856, 1118, 6529, 1271, 14843, 1271, 2726, 3716, 1048, 1596, 1064, 5006, 1005, 1323, 17984, 80, 1461, 1006, 1663, 8155, 1005, 8290, 1094, 9822, 1184, 10423, 1060, 5133, 1009, 17002, 1257, 1257, 17615, 1060, 23444, 2348, 23223, 8244, 3046, 20552, 1224, 8459, 2328, 1009, 1569, 3540, 20, 3720, 15661, 1235, 1557, 1005, 3480, 1068, 3371, 1132, 1880, 1041, 2585, 1005, 1687, 3043, 1079, 1752, 3271, 1048, 8311, 1043, 22645, 1005, 1287, 1466, 3320, 1142, 1545, 6027, 1009, 1044, 2535, 1054, 4788, 1571, 25901, 3748, 9666, 16356, 1005, 2348, 23223, 13145, 1068, 4347, 1043, 1044, 1305, 5786, 2526, 1048, 1836, 2827, 15417, 20901, 3720, 3456, 1079, 1043, 1264, 1118, 2088, 13223, 3765, 6256, 1702, 3453, 1005, 1044, 1015, 21512, 1300, 14270, 1005, 1380, 1079, 1043, 1264, 1996, 1009, 5711, 1800, 1054, 2930, 27228, 4490, 10001, 1009, 5172, 3445, 1005, 7931, 1006, 1044, 8787, 4454, 1094, 9525, 16844, 10376, 1054, 10312, 1005, 1323, 15060, 1006, 1927, 1058, 4827, 5876, 1068, 9441, 2092, 22543, 1159, 1503, 13445, 1257, 1257, 1766, 19225, 30956, 1060, 2348, 23223, 6438, 13596, 1006, 2348, 3486, 8459, 1009, 10873, 7320, 20, 4490, 17986, 1114, 4493, 1060, 16311, 1005, 1060, 5655, 1060, 15534, 13018, 1323, 9121, 1006, 6537, 1094, 2869, 1184, 10423, 1043, 17002, 5024, 2991, 1009, 9126, 1679, 1734, 1323, 7734, 1026, 2161, 1009, 5501, 2348, 8459, 1054, 3597, 20, 1084, 1235, 7903, 15531, 1009, 18486, 1072, 4367, 1009, 9925, 1592, 1511, 1124, 3469, 10369, 13928, 1206, 1455, 1396, 1273, 1323, 3765, 3722, 1005, 5545, 1054, 2088, 1187, 6390, 1184, 13928, 1060, 2348, 8150, 1257, 1257, 7630, 2348, 23223, 14519, 1837, 2539, 2864, 1235, 5802, 1114, 2348, 7820, 4159, 1620, 1096, 5239, 1495, 13630, 4490, 8459, 1098, 25885, 1629, 1005, 3445, 12473, 1412, 5220, 8093, 14417, 1005, 26760, 1005, 3074, 1068, 1927, 28690, 1357, 9940, 6640, 1048, 1687, 2569, 1114, 2348, 8150, 1, 3730, 1014, 5209, 1093, 1657, 9766, 1068, 20280, 1138, 15405, 1160, 1008, 2390, 3022, 1264, 1160, 27456, 2166, 1264, 1160, 1058, 3073, 5396, 20, 2200, 1657, 1786, 2923, 1072, 23036, 1049, 31706, 2097, 1503, 3580, 1411, 10796, 1599, 1006, 11719, 24111, 1196, 1044, 2574, 8522, 18, 12805, 1068, 4982, 1060, 2596, 1048, 4327, 9824, 1342, 1044, 1742, 3022, 1309, 1160, 1298, 11157, 1322, 1026, 24687, 1206, 1006, 3305, 11628, 1138, 8190, 1049, 13948, 1836, 1054, 26561, 1511, 1006, 1641, 5543, 1054, 4350, 20, 14734, 5209, 1093, 1058, 26751, 1009, 4982, 1005, 1244, 3458, 1006, 4953, 1049, 2790, 1049, 1151, 19536, 1224, 4397, 15483, 18211, 1072, 9772, 1009, 12569, 1893, 1910, 1107, 1118, 3907, 2097, 1503, 2369, 1089, 1026, 2285, 1009, 1142, 1146, 1377, 1138, 15405, 11331, 1079, 1006, 4953, 1009, 16687, 1054, 4702, 15491, 1079, 1026, 1048, 5558, 1054, 6544, 1060, 8494, 1009, 8667, 1229, 1224, 5913, 10249, 2940, 1009, 2922, 1213, 2729, 1009, 1224, 4953, 1159, 1132, 1249, 3342, 1009, 1044, 1118, 1066, 19, 8185, 17833, 3943, 8968, 6431, 3807, 1803, 1142, 3446, 2100, 4954, 18741, 7, 3713, 1620, 1325, 3062, 6431, 6234, 1627, 1620, 15893, 4714, 2979, 1060, 1641, 2100, 26334, 1008, 2390, 91, 1005, 1008, 2390, 91, 1288, 1026, 8190, 1305, 7481, 1728, 21105, 6224, 1054, 4280, 1043, 1026, 8843, 1313, 1139, 1434, 2402, 93, 11986, 6431, 3793, 2140, 2521, 20, 2200, 1325, 1072, 24545, 95, 3490, 4236, 1049, 1955, 12841, 1316, 1189, 20, 2200, 1325, 4619, 3659, 6794, 1271, 22214, 1009, 29592, 80, 1965, 2100, 3793, 2334, 2631, 1068, 11249, 2200, 1225, 1006, 5370, 6431, 2654, 6409, 6993, 1142, 3446, 21221, 1157, 2637, 2476, 29087, 8969, 11524, 1054, 1224, 13483, 1377, 4049, 10377, 1172, 10377, 2100, 30755, 1160, 10012, 3022, 1264, 1225, 6431, 3720, 31457, 1379, 20, 1150, 5552, 8956, 2654, 1973, 6256, 1048, 1836, 7003, 1009, 5795, 9814, 2100, 14734, 5209, 1093, 7209, 1072, 23036, 1005, 8088, 5709, 5626, 1009, 1235, 18166, 1043, 2742, 3722, 1048, 2220, 1026, 1151, 3390, 29531, 1379, 33, 1044, 4241, 3822, 12246, 8513, 1148, 1006, 5884, 16694, 1118, 30667, 3807, 79, 1142, 21983, 1503, 2449, 1094, 4960, 1068, 1299, 2100, 2458, 78, 1089, 1068, 1419, 1124, 5360, 2227, 1049, 15405, 16648, 1072, 9772, 2097, 1456, 26407, 10249, 16309, 1005, 3572, 2241, 1235, 3957, 8898, 1348, 1009, 13868, 20, 15888, 1324, 6004, 2975, 1668, 8553, 1009, 6506, 8574, 1048, 1299, 1323, 2257, 3689, 2808, 20, 5126, 1566, 30920, 3982, 1299, 19382, 1054, 3271, 6431, 1551, 2303, 1043, 1026, 4025, 12760, 5342, 1006, 4169, 10758, 1068, 6679, 1233, 2511, 14346, 22502, 12155, 1138, 1048, 1026, 1119, 18741, 7464, 1009, 1663, 37, 18792, 32, 1175, 2200, 7464, 1009, 4347, 1072, 4931, 17467, 1175, 2200, 7464, 1009, 15091, 3652, 4457, 1175, 2200, 7464, 1009, 15091, 1043, 10500, 2270, 1175, 1160, 1837, 2266, 14307, 1257, 1063, 3484, 1006, 2237, 4960, 12638, 8, 19181, 7464, 1009, 15091, 3652, 4457, 1, 1955, 1046, 1699, 1132, 7871, 18998, 28461, 1005, 14338, 2184, 1005, 1132, 6641, 1009, 1094, 5042, 3267, 1068, 6768, 1009, 3894, 6311, 9490, 2966, 2073, 4957, 4173, 1206, 5943, 1009, 26123, 5376, 1072, 15585, 18, 15991, 14833, 1005, 29389, 1049, 18837, 3423, 2668, 13240, 1132, 7871, 1005, 6641, 1009, 9327, 1005, 2729, 5633, 2429, 11522, 1005, 15759, 7109, 19305, 1206, 8113, 1048, 6326, 18521, 1890, 1026, 23352, 15508, 5294, 1094, 5034, 22381, 1043, 11810, 1005, 1858, 1009, 3790, 1658, 5042, 1068, 6768, 1009, 3894, 6311, 9490, 1159, 1026, 29381, 1006, 3894, 1638, 1930, 1006, 3894, 5527, 4404, 13444, 1005, 1006, 4606, 1252, 8711, 1961, 1225, 1026, 4957, 1009, 7005, 2539, 6641, 1005, 7871, 4245, 5345, 11149, 2539, 6863, 18998, 28461, 1005, 14338, 2184, 1048, 3634, 1178, 9943, 1068, 9854, 1026, 5802, 7933, 2429, 5042, 3267, 1054, 4188, 1006, 6768, 1009, 3894, 6311, 14858, 1257, 1257, 21611, 1010, 1005, 6641, 18998, 28461, 32, 1257, 10250, 1337, 1054, 13120, 32, 1766, 7871, 14396, 1060, 3649, 1005, 4173, 1009, 9928, 89, 1009, 25110, 6311, 2445, 1693, 1178, 3011, 3983, 1776, 2268, 1132, 6641, 1006, 2729, 5633, 1060, 2935, 1009, 3894, 1184, 18819, 1005, 1184, 19044, 6419, 83, 3530, 7871, 14396, 20, 1063, 9327, 19394, 1298, 5265, 4716, 1009, 29389, 1049, 2671, 1068, 17751, 1006, 2935, 1009, 25110, 6311, 14858, 1257, 1257, 4004, 1062, 11758, 1009, 25782, 1005, 27210, 32, 2034, 6768, 1009, 3894, 6311, 2445, 16878, 12854, 6389, 1054, 8198, 1043, 1124, 6768, 1009, 22849, 21278, 3150, 3782, 1298, 18580, 1054, 7314, 7871, 1009, 5980, 1005, 6389, 20, 4116, 2729, 1049, 4248, 1132, 7871, 1009, 3894, 6311, 1629, 1318, 1693, 1178, 3758, 1402, 2328, 1009, 16992, 3065, 3214, 5345, 1257, 1257, 5142, 1106, 27408, 1068, 1006, 8084, 11144, 4405, 32, 4116, 6233, 1006, 12345, 1271, 1966, 1161, 28152, 1009, 12050, 1005, 3871, 1044, 1111, 20528, 10648, 1009, 16899, 1094, 5042, 1068, 6768, 1009, 3894, 6311, 2445, 1298, 5275, 1006, 3227, 3197, 21887, 1257, 1257, 6013, 1106, 27408, 14833, 32, 2858, 1187, 6641, 21628, 1271, 6768, 1009, 3894, 6311, 2445, 1096, 1569, 18761, 8133, 1580, 1009, 15287, 11411, 20, 3782, 3758, 1132, 6299, 1009, 13277, 5823, 7439, 1006, 3460, 3770, 1009, 2926, 1005, 1006, 6937, 1187, 7871, 1043, 1006, 16733, 1257, 1257, 21611, 1010, 1005, 6641, 18998, 14338, 2184, 32, 1257, 27989, 1009, 7176, 1005, 5943, 32, 1063, 11522, 1187, 22849, 24301, 1068, 6768, 1009, 3894, 6311, 2445, 1298, 4480, 1233, 5943, 1009, 13002, 1114, 5660, 1009, 22849, 21278, 3150, 1776, 2268, 1026, 23741, 1271, 25110, 6311, 2445, 3012, 2837, 2653, 3398, 14200, 1009, 6730, 1026, 1048, 7191, 10262, 1006, 1044, 14428, 7933, 12791, 1072, 7176, 20, 1063, 4173, 1009, 7176, 1054, 25110, 6311, 2445, 3012, 7243, 4786, 9592, 28365, 1428, 7869, 1005, 1160, 15679, 2166, 3360, 1294, 11130, 1009, 3140, 2950, 1294, 11130, 1009, 30970, 1921, 20, 1257, 1257, 4004, 18576, 2765, 1072, 15585, 32, 1063, 5042, 1068, 1124, 6768, 1009, 3894, 6311, 2445, 3012, 18259, 6233, 1026, 9327, 5633, 1049, 15585, 3121, 1679, 9789, 7871, 14396, 1060, 15103, 1309, 11009, 1213, 2729, 1049, 1557, 1233, 4375, 1048, 1132, 7871, 1703, 1040, 1005, 1132, 8235, 26199, 4569, 20, 1257, 1257, 21611, 1010, 1005, 6641, 1009, 2729, 5633, 32, 1257, 4899, 2113, 1060, 13277, 16930, 1138, 10472, 1006, 2729, 5633, 1060, 6937, 1060, 20104, 5993, 1127, 1945, 3453, 1006, 2729, 19394, 2966, 7871, 1009, 2926 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1836, 1043, 17294, 1005, 31197, 1026, 1557, 22489, 1257, 1257, 2858, 4604, 1026, 6650, 1009, 4627, 2793, 1049, 6633, 4490, 4809, 2569, 1048, 1756, 4882, 1213, 22643, 6968, 4627, 10911, 1072, 12751, 1068, 1006, 21710, 2200, 12477, 83, 29657, 2328, 1060, 11368, 1219, 1126, 10069, 2808, 2637, 1068, 1043, 2652, 8028, 1026, 1048, 1264, 4748, 1516, 1094, 11454, 1064, 1889, 1009, 23340, 1048, 1836, 17206, 3062, 1118, 16787, 2200, 8951, 1043, 1044, 8129, 3298, 1009, 1064, 1889, 30448, 14641, 1005, 1639, 11576, 1072, 26988, 3320, 8991, 1079, 13771, 8523, 1309, 1195, 1006, 3964, 3616, 1048, 1264, 3012, 2808, 20, 1257, 21310, 6095, 9342, 4627, 1009, 1041, 2923, 1114, 1457, 1126, 1235, 29391, 1620, 5437, 4475, 2200, 10815, 1322, 1026, 1048, 2909, 1261, 9272, 5434, 1068, 14308, 1664, 1132, 12627, 1972, 1160, 1261, 1048, 1058, 20808, 1058, 23600, 3473, 3616, 1068, 1026, 25305, 3144, 1138, 8299, 1026, 4454, 9468, 1324, 1309, 1318, 1026, 2521, 7620, 1006, 5525, 1009, 23470, 1257, 1257, 1776, 1531, 2511, 1114, 14595, 4627, 3456, 1079, 1043, 1235, 4868, 20, 2200, 7312, 1006, 1687, 1322, 1224, 18744, 1159, 1264, 1836, 1043, 17294, 1026, 1557, 13877, 1005, 1159, 1616, 1836, 30867, 4975, 5193, 1114, 4044, 1005, 1043, 1456, 23581, 5024, 4868, 7351, 31260, 1005, 16605, 18883, 20, 1257, 1257, 14114, 1229, 1857, 18926, 1044, 4367, 20, 1138, 4868, 1009, 4627, 1026, 5808, 1079, 1043, 1044, 4235, 1009, 9272, 2386, 1048, 18540, 7483, 1060, 5096, 1005, 19142, 1068, 1124, 3978, 1880, 1041, 5010, 3720, 1318, 3456, 1079, 1043, 1026, 21173, 1009, 4352, 2094, 1048, 18540, 1006, 4627, 3790, 1005, 3480, 1068, 18883, 1006, 6180, 1043, 1224, 15779, 1005, 12511, 20, 1257, 1257, 1424, 1044, 2574, 1009, 29002, 1006, 1834, 1009, 4627, 7209, 20, 2200, 1160, 1195, 1184, 1068, 1006, 14143, 1043, 13971, 1324, 1005, 1264, 3012, 1058, 16976, 1853, 1114, 24825, 9049, 6299, 1009, 3894, 2496, 9446, 18, 1005, 1264, 3012, 20708, 1043, 1456, 5410, 1305, 1058, 4877, 31197, 1026, 1557, 22489, 2200, 1318, 2521, 3398, 5410, 1072, 4235, 1009, 23417, 3978, 1048, 3586, 6718, 1118, 7653, 9839, 1159, 11249, 1257, 1257, 1063, 2869, 1009, 4627, 1043, 1224, 2531, 1318, 1853, 10449, 4490, 4809, 1195, 1340, 1076, 1357, 29002, 1005, 1857, 7937, 20291, 1371, 8312, 1068, 14549, 1043, 1184, 8692, 20, 5126, 6884, 1006, 1058, 16412, 8435, 1005, 4627, 18853, 1048, 1836, 2289, 1680, 1068, 9364, 3629, 1511, 1264, 1760, 7052, 1257, 1257, 6836, 1009, 9613, 4627, 8743, 7781, 7407, 2200, 13756, 1048, 1726, 2624, 1006, 1834, 1096, 19228, 1309, 1837, 1927, 1783, 1048, 1826, 1277, 5084, 1006, 2213, 3144, 10179, 2923, 1184, 18388, 1778, 1005, 20829, 18, 12875, 1048, 2257, 6419, 1136, 1094, 4087, 4417, 20, 4627, 13756, 1006, 18185, 1124, 6828, 3469, 1114, 5297, 1159, 1094, 20496, 26040, 1044, 4729, 1017, 8837, 1005, 1026, 3445, 1009, 1224, 2531, 1005, 23581, 1257, 1776, 7223, 4627, 13756, 1048, 1160, 1966, 1026, 15507, 12647, 1124, 3469, 6326, 10272, 1870, 1837, 1927, 6728, 20, 2200, 2257, 1044, 4409, 1184, 7850, 1233, 1224, 3349, 2246, 2257, 31996, 1006, 12002, 1006, 7730, 1149, 1005, 1006, 2598, 10446, 8607, 1, 8454, 1094, 12254, 4987, 1322, 1159, 1094, 3271, 9080, 10507, 3506, 1005, 30178, 1224, 7820, 4159, 1206, 8459, 20, 2430, 7128, 1124, 1011, 3180, 7198, 1124, 3540, 1005, 1132, 19225, 1060, 3271, 1048, 20952, 1006, 12473, 1024, 1456, 7180, 3408, 1005, 1011, 3180, 11821, 8017, 8512, 8745, 1009, 1159, 1006, 6640, 1060, 3271, 5341, 1079, 1224, 1834, 1005, 1011, 3180, 11821, 26205, 1026, 3239, 1005, 1026, 2468, 1009, 1224, 27196, 1006, 2822, 1009, 14451, 1006, 12769, 1009, 1224, 3513, 1005, 12119, 1054, 6019, 2429, 3271, 10507, 21218, 2474, 1074, 8140, 18, 2348, 23223, 1516, 1094, 4633, 7903, 1009, 3445, 1005, 3790, 1114, 2348, 8150, 3720, 1516, 1094, 12767, 7954, 2528, 1005, 1224, 8459, 26222, 1393, 1664, 1132, 8040, 1009, 1224, 8150, 5024, 9797, 1098, 25885, 1629, 1043, 3219, 1005, 1224, 16980, 1072, 1622, 1060, 16311, 6011, 1044, 9278, 5802, 1114, 2348, 3486, 12921, 3843, 1257, 1257, 7027, 1132, 5550, 1229, 2348, 23223, 1323, 22402, 1233, 6661, 1043, 16550, 1063, 6661, 1048, 1687, 20121, 1393, 1516, 4671, 1005, 12942, 6800, 1309, 1026, 7549, 1009, 4668, 1005, 3445, 1048, 1503, 15519, 1048, 2284, 25365, 8342, 2654, 29935, 13276, 1172, 2972, 1043, 1006, 7520, 2300, 2094, 6993, 1026, 18969, 1244, 1645, 1005, 4877, 1006, 4281, 1009, 3219, 1054, 2930, 2191, 20, 11329, 23223, 1927, 5174, 1461, 1026, 7856, 1118, 6529, 1271, 14843, 1271, 2726, 3716, 1048, 1596, 1064, 5006, 1005, 1323, 17984, 80, 1461, 1006, 1663, 8155, 1005, 8290, 1094, 9822, 1184, 10423, 1060, 5133, 1009, 17002, 1257, 1257, 17615, 1060, 23444, 2348, 23223, 8244, 3046, 20552, 1224, 8459, 2328, 1009, 1569, 3540, 20, 3720, 15661, 1235, 1557, 1005, 3480, 1068, 3371, 1132, 1880, 1041, 2585, 1005, 1687, 3043, 1079, 1752, 3271, 1048, 8311, 1043, 22645, 1005, 1287, 1466, 3320, 1142, 1545, 6027, 1009, 1044, 2535, 1054, 4788, 1571, 25901, 3748, 9666, 16356, 1005, 2348, 23223, 13145, 1068, 4347, 1043, 1044, 1305, 5786, 2526, 1048, 1836, 2827, 15417, 20901, 3720, 3456, 1079, 1043, 1264, 1118, 2088, 13223, 3765, 6256, 1702, 3453, 1005, 1044, 1015, 21512, 1300, 14270, 1005, 1380, 1079, 1043, 1264, 1996, 1009, 5711, 1800, 1054, 2930, 27228, 4490, 10001, 1009, 5172, 3445, 1005, 7931, 1006, 1044, 8787, 4454, 1094, 9525, 16844, 10376, 1054, 10312, 1005, 1323, 15060, 1006, 1927, 1058, 4827, 5876, 1068, 9441, 2092, 22543, 1159, 1503, 13445, 1257, 1257, 1766, 19225, 30956, 1060, 2348, 23223, 6438, 13596, 1006, 2348, 3486, 8459, 1009, 10873, 7320, 20, 4490, 17986, 1114, 4493, 1060, 16311, 1005, 1060, 5655, 1060, 15534, 13018, 1323, 9121, 1006, 6537, 1094, 2869, 1184, 10423, 1043, 17002, 5024, 2991, 1009, 9126, 1679, 1734, 1323, 7734, 1026, 2161, 1009, 5501, 2348, 8459, 1054, 3597, 20, 1084, 1235, 7903, 15531, 1009, 18486, 1072, 4367, 1009, 9925, 1592, 1511, 1124, 3469, 10369, 13928, 1206, 1455, 1396, 1273, 1323, 3765, 3722, 1005, 5545, 1054, 2088, 1187, 6390, 1184, 13928, 1060, 2348, 8150, 1257, 1257, 7630, 2348, 23223, 14519, 1837, 2539, 2864, 1235, 5802, 1114, 2348, 7820, 4159, 1620, 1096, 5239, 1495, 13630, 4490, 8459, 1098, 25885, 1629, 1005, 3445, 12473, 1412, 5220, 8093, 14417, 1005, 26760, 1005, 3074, 1068, 1927, 28690, 1357, 9940, 6640, 1048, 1687, 2569, 1114, 2348, 8150, 1, 3730, 1014, 5209, 1093, 1657, 9766, 1068, 20280, 1138, 15405, 1160, 1008, 2390, 3022, 1264, 1160, 27456, 2166, 1264, 1160, 1058, 3073, 5396, 20, 2200, 1657, 1786, 2923, 1072, 23036, 1049, 31706, 2097, 1503, 3580, 1411, 10796, 1599, 1006, 11719, 24111, 1196, 1044, 2574, 8522, 18, 12805, 1068, 4982, 1060, 2596, 1048, 4327, 9824, 1342, 1044, 1742, 3022, 1309, 1160, 1298, 11157, 1322, 1026, 24687, 1206, 1006, 3305, 11628, 1138, 8190, 1049, 13948, 1836, 1054, 26561, 1511, 1006, 1641, 5543, 1054, 4350, 20, 14734, 5209, 1093, 1058, 26751, 1009, 4982, 1005, 1244, 3458, 1006, 4953, 1049, 2790, 1049, 1151, 19536, 1224, 4397, 15483, 18211, 1072, 9772, 1009, 12569, 1893, 1910, 1107, 1118, 3907, 2097, 1503, 2369, 1089, 1026, 2285, 1009, 1142, 1146, 1377, 1138, 15405, 11331, 1079, 1006, 4953, 1009, 16687, 1054, 4702, 15491, 1079, 1026, 1048, 5558, 1054, 6544, 1060, 8494, 1009, 8667, 1229, 1224, 5913, 10249, 2940, 1009, 2922, 1213, 2729, 1009, 1224, 4953, 1159, 1132, 1249, 3342, 1009, 1044, 1118, 1066, 19, 8185, 17833, 3943, 8968, 6431, 3807, 1803, 1142, 3446, 2100, 4954, 18741, 7, 3713, 1620, 1325, 3062, 6431, 6234, 1627, 1620, 15893, 4714, 2979, 1060, 1641, 2100, 26334, 1008, 2390, 91, 1005, 1008, 2390, 91, 1288, 1026, 8190, 1305, 7481, 1728, 21105, 6224, 1054, 4280, 1043, 1026, 8843, 1313, 1139, 1434, 2402, 93, 11986, 6431, 3793, 2140, 2521, 20, 2200, 1325, 1072, 24545, 95, 3490, 4236, 1049, 1955, 12841, 1316, 1189, 20, 2200, 1325, 4619, 3659, 6794, 1271, 22214, 1009, 29592, 80, 1965, 2100, 3793, 2334, 2631, 1068, 11249, 2200, 1225, 1006, 5370, 6431, 2654, 6409, 6993, 1142, 3446, 21221, 1157, 2637, 2476, 29087, 8969, 11524, 1054, 1224, 13483, 1377, 4049, 10377, 1172, 10377, 2100, 30755, 1160, 10012, 3022, 1264, 1225, 6431, 3720, 31457, 1379, 20, 1150, 5552, 8956, 2654, 1973, 6256, 1048, 1836, 7003, 1009, 5795, 9814, 2100, 14734, 5209, 1093, 7209, 1072, 23036, 1005, 8088, 5709, 5626, 1009, 1235, 18166, 1043, 2742, 3722, 1048, 2220, 1026, 1151, 3390, 29531, 1379, 33, 1044, 4241, 3822, 12246, 8513, 1148, 1006, 5884, 16694, 1118, 30667, 3807, 79, 1142, 21983, 1503, 2449, 1094, 4960, 1068, 1299, 2100, 2458, 78, 1089, 1068, 1419, 1124, 5360, 2227, 1049, 15405, 16648, 1072, 9772, 2097, 1456, 26407, 10249, 16309, 1005, 3572, 2241, 1235, 3957, 8898, 1348, 1009, 13868, 20, 15888, 1324, 6004, 2975, 1668, 8553, 1009, 6506, 8574, 1048, 1299, 1323, 2257, 3689, 2808, 20, 5126, 1566, 30920, 3982, 1299, 19382, 1054, 3271, 6431, 1551, 2303, 1043, 1026, 4025, 12760, 5342, 1006, 4169, 10758, 1068, 6679, 1233, 2511, 14346, 22502, 12155, 1138, 1048, 1026, 1119, 18741, 7464, 1009, 1663, 37, 18792, 32, 1175, 2200, 7464, 1009, 4347, 1072, 4931, 17467, 1175, 2200, 7464, 1009, 15091, 3652, 4457, 1175, 2200, 7464, 1009, 15091, 1043, 10500, 2270, 1175, 1160, 1837, 2266, 14307, 1257, 1063, 3484, 1006, 2237, 4960, 12638, 8, 19181, 7464, 1009, 15091, 3652, 4457, 1, 1955, 1046, 1699, 1132, 7871, 18998, 28461, 1005, 14338, 2184, 1005, 1132, 6641, 1009, 1094, 5042, 3267, 1068, 6768, 1009, 3894, 6311, 9490, 2966, 2073, 4957, 4173, 1206, 5943, 1009, 26123, 5376, 1072, 15585, 18, 15991, 14833, 1005, 29389, 1049, 18837, 3423, 2668, 13240, 1132, 7871, 1005, 6641, 1009, 9327, 1005, 2729, 5633, 2429, 11522, 1005, 15759, 7109, 19305, 1206, 8113, 1048, 6326, 18521, 1890, 1026, 23352, 15508, 5294, 1094, 5034, 22381, 1043, 11810, 1005, 1858, 1009, 3790, 1658, 5042, 1068, 6768, 1009, 3894, 6311, 9490, 1159, 1026, 29381, 1006, 3894, 1638, 1930, 1006, 3894, 5527, 4404, 13444, 1005, 1006, 4606, 1252, 8711, 1961, 1225, 1026, 4957, 1009, 7005, 2539, 6641, 1005, 7871, 4245, 5345, 11149, 2539, 6863, 18998, 28461, 1005, 14338, 2184, 1048, 3634, 1178, 9943, 1068, 9854, 1026, 5802, 7933, 2429, 5042, 3267, 1054, 4188, 1006, 6768, 1009, 3894, 6311, 14858, 1257, 1257, 21611, 1010, 1005, 6641, 18998, 28461, 32, 1257, 10250, 1337, 1054, 13120, 32, 1766, 7871, 14396, 1060, 3649, 1005, 4173, 1009, 9928, 89, 1009, 25110, 6311, 2445, 1693, 1178, 3011, 3983, 1776, 2268, 1132, 6641, 1006, 2729, 5633, 1060, 2935, 1009, 3894, 1184, 18819, 1005, 1184, 19044, 6419, 83, 3530, 7871, 14396, 20, 1063, 9327, 19394, 1298, 5265, 4716, 1009, 29389, 1049, 2671, 1068, 17751, 1006, 2935, 1009, 25110, 6311, 14858, 1257, 1257, 4004, 1062, 11758, 1009, 25782, 1005, 27210, 32, 2034, 6768, 1009, 3894, 6311, 2445, 16878, 12854, 6389, 1054, 8198, 1043, 1124, 6768, 1009, 22849, 21278, 3150, 3782, 1298, 18580, 1054, 7314, 7871, 1009, 5980, 1005, 6389, 20, 4116, 2729, 1049, 4248, 1132, 7871, 1009, 3894, 6311, 1629, 1318, 1693, 1178, 3758, 1402, 2328, 1009, 16992, 3065, 3214, 5345, 1257, 1257, 5142, 1106, 27408, 1068, 1006, 8084, 11144, 4405, 32, 4116, 6233, 1006, 12345, 1271, 1966, 1161, 28152, 1009, 12050, 1005, 3871, 1044, 1111, 20528, 10648, 1009, 16899, 1094, 5042, 1068, 6768, 1009, 3894, 6311, 2445, 1298, 5275, 1006, 3227, 3197, 21887, 1257, 1257, 6013, 1106, 27408, 14833, 32, 2858, 1187, 6641, 21628, 1271, 6768, 1009, 3894, 6311, 2445, 1096, 1569, 18761, 8133, 1580, 1009, 15287, 11411, 20, 3782, 3758, 1132, 6299, 1009, 13277, 5823, 7439, 1006, 3460, 3770, 1009, 2926, 1005, 1006, 6937, 1187, 7871, 1043, 1006, 16733, 1257, 1257, 21611, 1010, 1005, 6641, 18998, 14338, 2184, 32, 1257, 27989, 1009, 7176, 1005, 5943, 32, 1063, 11522, 1187, 22849, 24301, 1068, 6768, 1009, 3894, 6311, 2445, 1298, 4480, 1233, 5943, 1009, 13002, 1114, 5660, 1009, 22849, 21278, 3150, 1776, 2268, 1026, 23741, 1271, 25110, 6311, 2445, 3012, 2837, 2653, 3398, 14200, 1009, 6730, 1026, 1048, 7191, 10262, 1006, 1044, 14428, 7933, 12791, 1072, 7176, 20, 1063, 4173, 1009, 7176, 1054, 25110, 6311, 2445, 3012, 7243, 4786, 9592, 28365, 1428, 7869, 1005, 1160, 15679, 2166, 3360, 1294, 11130, 1009, 3140, 2950, 1294, 11130, 1009, 30970, 1921, 20, 1257, 1257, 4004, 18576, 2765, 1072, 15585, 32, 1063, 5042, 1068, 1124, 6768, 1009, 3894, 6311, 2445, 3012, 18259, 6233, 1026, 9327, 5633, 1049, 15585, 3121, 1679, 9789, 7871, 14396, 1060, 15103, 1309, 11009, 1213, 2729, 1049, 1557, 1233, 4375, 1048, 1132, 7871, 1703, 1040, 1005, 1132, 8235, 26199, 4569, 20, 1257, 1257, 21611, 1010, 1005, 6641, 1009, 2729, 5633, 32, 1257, 4899, 2113, 1060, 13277, 16930, 1138, 10472, 1006, 2729, 5633, 1060, 6937, 1060, 20104, 5993, 1127, 1945, 3453, 1006, 2729, 19394, 2966, 7871, 1009, 2926 ]

[ 3606, 8804, 27296, 1094, 2360, 3069, 1049, 3189, 1009, 15688, 3351, 3658, 1081, 23836, 10855, 1078, 2662, 1406, 1295, 1195, 14693, 1072, 3077, 5493, 6342, 1054, 4483, 32, 9220, 79, 2604, 8, 8847, 75, 12414, 14628, 1658, 17421, 26117, 8983, 1054, 5931, 1269, 81, 19512, 1043, 1026, 9381, 8214, 1084, 1092, 4138, 1005, 1006, 5380, 675, 26406, 21097, 5, 2045, 24789, 95, 2159, 2186, 11656, 26159, 1308, 4153, 11678, 3604, 8328, 4817, 8534, 7385, 2604, 28919, 2548, 45, 17165, 4050, 1037, 89, 3933, 26117, 3564, 17165, 4050, 1037, 89, 3933, 26117, 1, 13993, 3492, 3297, 78, 4358, 1054, 14036, 32, 675, 892, 0, 675, 6938, 91, 2077, 4479, 1803, 3295, 1009, 3403, 1009, 1696, 4681, 1096, 1094, 1086, 2227, 1076, 17930, 1048, 29733, 1054, 9262, 1009, 28297, 14112, 4349, 79, 2521, 1751, 1060, 2759, 17930, 1048, 14914, 1132, 3945, 5175, 1009, 10289, 2334, 1054, 3917, 1114, 12661, 1005, 7918, 1006, 9236, 1009, 5638, 4726, 8659, 1482, 4079, 10737, 3492, 3297, 5637, 1620, 24986, 1006, 11025, 1114, 1211, 1167, 1005, 1118, 5908, 7381, 10559, 78, 3297, 5637, 7717, 1224, 3560, 1072, 1901, 1009, 15203, 1213, 3251, 1009, 17516, 2800, 3267, 1151, 9828, 18, 1235, 1831, 7248, 18087, 1195, 1054, 9861, 1679, 24953, 4844, 12539, 1646, 1184, 6849, 1054, 1224, 6559, 1114, 2759, 22922, 18, 7918, 2156, 13770, 1009, 11025, 1072, 3848, 3747, 1009, 21340, 13359, 1175, 1094, 1118, 5908, 1005, 2924, 1114, 1211, 1167, 20, 2034, 5571, 5817, 1596, 1124, 12347, 4706, 1271, 24070, 4726, 2897, 1005, 1006, 1086, 2227, 1076, 1144, 11871, 1142, 1379, 81, 3926, 1006, 30575, 1009, 5638, 1049, 12270, 4349, 79, 2521, 1751, 1060, 2759, 17930, 1048, 14914, 1132, 3945, 5175, 1009, 3917, 1054, 10289, 18373, 4116, 2790, 1009, 25355, 1134, 10277, 31739, 1941, 1061, 3926, 4242, 1344, 1774, 3926, 1180, 21647, 1941, 25374, 18006, 1005, 1119, 4189, 9633, 29821, 7918, 1006, 9236, 1009, 5638, 1068, 1006, 5286, 6352, 14369, 2494, 4497, 1060, 1211, 6413, 16708, 9564, 1005, 1160, 14146, 1213, 1008, 1628, 2037, 16512, 1077, 4682, 1224, 4455, 1072, 3366, 1043, 1006, 5261, 2791, 2094, 1114, 2750, 1005, 3808, 1852, 4651, 3567, 10077, 1187, 3945, 1058, 7955, 20487, 1494, 1214, 91, 1322, 1006, 2759, 4398, 3097, 1006, 18310, 1009, 17281, 2484, 2725, 14077, 4733, 1124, 14673, 3273, 1322, 1006, 22741, 1049, 12992, 5529, 1006, 8955, 4594, 1009, 18383, 10671, 4538, 1079, 3492, 3297, 5637, 1005, 1569, 4141, 2032, 1009, 15539, 1318, 1043, 31694, 4844, 1138, 3435, 1195, 1006, 10151, 1112, 1060, 29736, 73, 1149, 1060, 5293, 1271, 22461, 1048, 23866, 3647, 1569, 13770, 18581, 3808, 5173, 1049, 1901, 1195, 1006, 8204, 1060, 3595, 1049, 4819, 1009, 26297, 1114, 27497, 7509, 12987, 13993, 14914, 1006, 5274, 1060, 1211, 1167, 1005, 1160, 9846, 1094, 2360, 6841, 20, 11938, 3121, 1006, 1261, 5087, 1188, 1006, 9120, 1009, 1224, 4374, 3097, 7023, 1043, 1006, 9236, 1009, 9712, 22463, 1054, 5274, 3991, 1236, 1357, 31379, 16758, 84, 23878, 2057, 20, 2642, 15227, 1026, 11769, 27395, 1009, 7905, 14914, 1132, 3945, 27515, 18, 1294, 2688, 1160, 14146, 1213, 1008, 1628, 4475, 4733, 1006, 6477, 1049, 12987, 13993, 6139, 9094, 1224, 16167, 1049, 30893, 2378, 22053, 3770, 6108, 1318, 1257, 8955, 4594, 1009, 18383, 10671, 5, 14218, 5409, 23818, 3296, 2310, 1257, 22451, 1021, 14723, 28602, 1060, 5310, 20326, 8649, 10950, 1060, 5310, 3564, 1021, 14723, 1294, 3945, 5175, 1009, 5874, 1009, 3917, 16031, 1294, 3945, 5175, 1009, 5874, 1009, 3917, 6577, 1009, 8979, 2077, 4479, 79, 1, 23947, 1868, 2767, 5827, 675, 4045, 1051, 1171, 1177, 2152, 4541, 6190, 1096, 1044, 4880, 2999, 1005, 5098, 12131, 4472, 10209, 1049, 5995, 1009, 20081, 1060, 4630, 4139, 41, 30978, 1005, 5474, 22524, 1049, 1561, 1054, 3032, 7432, 12450, 1005, 2670, 1060, 4338, 4708, 1009, 1764, 23947, 1271, 23776, 1182, 2032, 1005, 4880, 1009, 3560, 1049, 10219, 12890, 1356, 1428, 1195, 10612, 1068, 1026, 5995, 1009, 20081, 1060, 4630, 1054, 8683, 8451, 8348, 1054, 6391, 7587, 1257, 10081, 2923, 1054, 3282, 1356, 4316, 1009, 9818, 1431, 3151, 1009, 8750, 6070, 14311, 11426, 19136, 1349, 1054, 2026, 2023, 3126, 12652, 2999, 1049, 10219, 1006, 2323, 1009, 23421, 3027, 4224, 1188, 1132, 11620, 1009, 10760, 1009, 15411, 12590, 5612, 9086, 6304, 1054, 9834, 1005, 6763, 3784, 1005, 25493, 5612, 9086, 1072, 1428, 1058, 6681, 6452, 1054, 8683, 3027, 1318, 20349, 1006, 2562, 1009, 7778, 13209, 1060, 10763, 1049, 10219, 2271, 15440, 6738, 1118, 3236, 15790, 5202, 3110, 85, 1803, 8536, 12884, 1049, 5019, 14751, 1060, 10129, 2769, 1009, 12173, 17437, 30906, 1065, 1045, 1349, 12450, 1009, 1764, 23947, 1271, 23776, 1182, 2032, 1365, 8029, 1005, 16456, 1005, 9495, 2286, 13673, 1868, 2767, 1195, 9838, 1188, 1356, 2670, 6318, 7980, 18628, 1233, 6320, 1049, 20289, 6990, 1072, 8167, 1009, 10771, 2127, 6592, 1060, 16167, 1049, 6721, 1156, 1202, 8946, 1525, 1049, 5995, 1009, 20081, 1060, 29026, 1023, 10002, 1213, 10219, 13279, 1026, 5599, 24917, 1667, 1868, 2767, 1195, 10921, 1118, 25606, 2485, 25129, 19045, 16724, 1140, 1006, 1718, 26187, 7432, 12884, 1049, 16660, 59, 1072, 15155, 7400, 4210, 9958, 28, 1005, 2670, 1072, 15155, 7400, 4161, 9958, 30, 2286, 3113, 1009, 8936, 1195, 19970, 4734, 1009, 1048, 1026, 2670, 14900, 9581, 3550, 1461, 1072, 1592, 3681, 23947, 1868, 2767, 1068, 1026, 5333, 1009, 22524, 1049, 1561, 1054, 8258, 1054, 13051, 1006, 4243, 11123, 1067, 4146, 23082, 10774, 1006, 9738, 1009, 1235, 1720, 1356, 10219, 1068, 1006, 28906, 1054, 8258, 1054, 3049, 1009, 8936, 1868, 2767, 8451, 2923, 1049, 5333, 1009, 6721, 1049, 5995, 1009, 20081, 1009, 4630, 1054, 1083, 1009, 3403, 1009, 12034, 1847, 20793, 1118, 9203, 2376, 14723, 1034, 3818, 9079, 6031, 2847, 1114, 2533, 1342, 1049, 16660, 59, 5424, 20371, 1209, 1049, 5995, 1009, 20081, 1060, 4630, 6577, 1009, 19547, 1177, 18590, 1605, 26912, 1060, 6320, 1049, 20289, 6990, 3576, 1281, 1544, 1049, 15889, 3528, 13094, 1544, 1049, 1561, 1054, 3032, 1, 9075, 1252, 2060, 94, 1342, 1015, 1628, 1145, 1206, 675, 0, 5786, 2060, 94, 1342, 4139, 6456, 1096, 1026, 16415, 3809, 4635, 5361, 3778, 1072, 4618, 1009, 29589, 16415, 31692, 1511, 1837, 27472, 1009, 2935, 1009, 10378, 94, 1342, 4139, 6456, 1357, 30886, 1814, 27256, 21092, 3942, 1561, 1096, 4678, 3723, 1159, 1073, 1154, 84, 1128, 2471, 1084, 6905, 95, 1035, 6036, 9075, 25983, 1005, 17199, 25766, 3120, 2170, 1054, 8258, 1084, 1088, 2060, 6036, 2735, 95, 1007, 94, 1005, 7494, 1363, 2378, 1010, 2404, 3367, 74, 27295, 1305, 3171, 15197, 13138, 1693, 5593, 13291, 1402, 8394, 1009, 3886, 1006, 3114, 675, 328, 77, 8334, 1411, 1048, 1298, 1178, 28718, 1009, 2971, 1006, 3886, 675, 328, 77, 1009, 2848, 1054, 2848, 7082, 1495, 7780, 675, 328, 77, 8334, 2275, 1063, 15198, 1009, 6389, 4215, 1096, 1009, 3114, 1006, 1360, 675, 328, 77, 8334, 2275, 1119, 6473, 2120, 79, 1653, 3087, 1006, 4029, 1009, 1083, 1901, 32, 22344, 1006, 1487, 675, 328, 77, 21, 19912, 8334, 1034, 11402, 1037, 3401, 1257, 7281, 1096, 6715, 1072, 4618, 1009, 1898, 46, 2086, 90, 1336, 25983, 7639, 1276, 41, 1829, 1021, 1876, 1276, 51, 1483, 1171, 1530, 1276, 40, 15160, 1160, 22373, 1391, 1276, 58, 2060, 31484, 29931, 1276, 56, 1171, 3789, 1130, 29117, 1078, 1142, 42, 50, 1511, 1837, 23160, 1333, 1781, 2989, 75, 1206, 2311, 1120, 1104, 2746, 75, 2506, 2814, 9546, 1043, 9449, 1614, 1041, 2060, 1038, 6436, 1298, 1178, 3778, 1068, 17544, 30138, 2060, 1038, 5120, 4807, 1986, 1044, 1080, 5397, 20, 8384, 1976, 1178, 3778, 1068, 9149, 23084, 1149, 1511, 13412, 1009, 8620, 17161, 15438, 6299, 1009, 1128, 25, 1005, 1128, 26, 1054, 8620, 22119, 1007, 19, 1917, 3401, 21338, 1192, 1248, 1219, 3003, 1006, 1702, 1187, 5119, 4837, 27256, 5742, 94, 29931, 17279, 1206, 1681, 1781, 1626, 1961, 28214, 46, 16454, 1188, 1043, 6299, 25100, 1009, 1128, 25, 1005, 1128, 2471, 29666, 3497, 1029, 3110, 1024, 1183, 1066, 22767, 4405, 12613, 9240, 1009, 30138, 1336, 25983, 1876, 1998, 11685, 1006, 5275, 1986, 1101, 1006, 1307, 7082, 1009, 4618, 1005, 1026, 5654, 6460, 1049, 19084, 23990, 1356, 2444, 1675, 28666, 5011, 1072, 2535, 1009, 15689, 1171, 7576, 1043, 4618, 28488, 1006, 15181, 1298, 1178, 14222, 1054, 27789, 1005, 1026, 5654, 6460, 1054, 2978, 8956, 1063, 1756, 1252, 2060, 94, 1342, 4215, 1096, 1054, 13291, 2647, 1309, 1298, 1178, 1118, 2290, 1311, 1753, 1051, 2669, 1054, 2535, 1009, 15689, 1171, 1530, 1206, 1043, 71, 14350, 1118, 30138, 1336, 25983, 1876, 1160, 3043, 2270, 1063, 24385, 20854, 1096, 9406, 6073, 1071, 3949, 1006, 20169, 1349, 6438, 3234, 1118, 4306, 6648, 1005, 5243, 8424, 5293, 1005, 16733, 2013, 9194, 12079, 1072, 31415, 6369, 1005, 3494, 1108, 1667, 1063, 24385, 1298, 1178, 4910, 1140, 1356, 31415, 9764, 1005, 1096, 21750, 1054, 7213, 1043, 9157, 1037, 1035, 2040, 1009, 2716, 9194, 2762, 29666, 28865, 7520, 1223, 1525, 1206, 31626, 1013, 2275, 1062, 8381, 23417, 5494, 1159, 1006, 11480, 1009, 26015, 1005, 1124, 21967, 5565, 29863, 5087, 1040, 1006, 24385, 1009, 1128, 26, 1059, 0, 14996, 1009, 15312, 11, 1009, 1756, 1252, 2060, 94, 1342, 4139, 6456, 1325, 12583, 1726, 17303, 1536, 20640, 17599, 3587, 10378, 94, 1342, 6179, 2843, 30409, 4139, 18000, 1349, 7962, 1029, 20351, 1342, 1005, 1155, 20351, 5949, 14327, 17303, 2643, 1094, 1744, 26638, 1184, 15514, 1068, 1128, 26, 1048, 1068, 1064, 18403, 2060, 84, 1342, 4139, 30066, 13295, 4034, 28954, 1005, 10880, 10988, 4021, 1010, 1693, 13584, 1006, 8262, 1726, 17303, 1536, 20640, 4275, 14802, 1054, 6476, 1373, 1021, 2682, 17706, 1114, 4751, 1060, 2562, 16415, 3809, 1060, 27256, 21092, 1009, 1033, 5415, 1183, 1066, 15472, 1048, 1096, 22210, 2682, 10062, 5044, 16415, 15349, 1060, 27256, 21092, 1327, 22210, 6816, 1072, 24508, 1069, 1118, 1086, 26293, 1707, 84, 9042, 1005, 3821, 76, 1065, 1112, 1005, 1327, 2684, 1829, 1166, 1114, 1080, 3951, 1068, 1026, 18284, 12423, 11234, 2176, 1215, 1471, 19, 1208, 86, 2672, 1318, 2755, 1986, 1006, 5527, 88, 2954, 2571, 1005, 24385, 1072, 18284, 12423, 11841, 1751, 1049, 15526, 1136, 11637, 1069, 1890, 1026, 29726, 1096, 6715, 1068, 1006, 23359, 1009, 3606, 16415, 7090, 1060, 27256, 21092, 1059, 0, 5640, 16415, 15349, 27256, 25983, 6436, 1327, 5465, 7577, 3587, 2309, 1686, 2914, 33, 3316, 20730, 6323, 9395, 1009, 1128, 26, 24579, 1069, 22210, 1478, 2684, 1829, 1166, 1463, 2521, 2223, 1063, 2684, 1013, 1055, 3764, 8162, 1009, 1128, 26, 22469, 1043, 1006, 17516, 1063, 8486, 6785, 1236, 1009, 18971, 1009, 1756, 1252, 2060, 94, 1342, 1096, 1009, 1675, 1006, 1779, 2250, 1054, 7213, 1043, 27256, 21092, 22309, 1844, 1006, 1782, 2250, 1054, 7213, 1043, 30138, 1336, 25983, 1876, 1005, 1307, 1006, 1422, 2250, 1054, 7213, 1043, 25909, 1336, 25983, 1876, 19325, 2490, 1114, 15451, 1096, 1184, 27168, 1221, 1048, 1026, 30138, 1336, 25983, 1876, 1054, 2073, 16333, 3995, 20256, 1063, 1565, 7141, 71, 1006, 10410, 1054, 15935, 28359, 1339, 1708, 3242, 1087, 20897, 1009, 3597, 3367, 1128, 26, 1072, 8620, 1058, 17188, 2574, 1006, 2574, 1054, 1128, 2394, 1213, 6388, 1044, 18645, 5476, 1009, 15526, 4576, 1005, 1058, 6293, 2125, 2624, 1184, 9279, 1054, 19437, 1132, 30942, 1311, 3980, 1045, 3613, 8745, 1060, 27256, 25983, 1802, 1063, 1128, 25, 1005, 1128, 26, 3925, 21771, 1026, 29760, 27854, 1112, 1005, 1795, 8673, 1187, 2438, 3607, 23147, 1026, 20456, 1009, 3894, 1005, 1026, 3090, 1049, 2380, 23987, 1567, 4430, 27033, 20699, 14145, 1327, 9240, 1009, 25909, 1336, 25983, 1876, 1005, 1693, 7243, 26032, 6267, 1031, 1528, 1411, 11479, 1408, 83, 1242, 15197, 1139, 1273, 2503, 1017, 4481, 2137, 1145, 3106, 1590, 1342, 1009, 16712, 1349, 2503, 1017, 1009, 15672, 28705, 3155, 2007, 47, 88, 1408, 3343, 2007, 18716, 11038, 1940, 16800, 2563, 16465, 25542, 8844, 2106, 1797, 12261, 1273, 5, 5359, 1078, 16503, 1213, 7074, 2007, 16767, 15959, 11347, 5160, 17888, 1196, 1009, 5862, 4850, 1049, 4465, 1049, 22670, 4541, 6170, 88, 2300, 1637, 1436, 31377, 1102, 17398, 1787, 28956, 1005, 1050, 2214, 1478, 29216, 7907, 1132, 26776, 1266, 6473, 4807, 1986, 1006, 1742, 14320, 1093, 1377, 4685, 1298, 16034, 1024, 1206, 4121, 3386, 1094, 29666, 28865, 7520, 1223, 1525, 1206, 2924, 20133, 8594, 2275, 1482, 3978, 1298, 7907, 5943, 1009, 7603, 3772, 12776, 6546, 17874, 7730, 1016, 4215, 5791, 4569, 1986, 1006, 6937, 1060, 15198, 1206, 21749, 24295, 1049, 4618, 11402, 1148, 2765, 10880, 1016, 11191, 2806, 19891, 16258, 16301, 2137, 1402, 1048, 14967, 16652, 17209, 6102, 1206, 31254, 33, 1064, 1568, 1021, 1179, 4492, 5688, 6364, 4492, 2696, 5395, 175, 27439, 29311, 2961, 1031, 3097, 1429, 72, 1046, 1270, 3551, 3097, 7825, 1177, 30795, 4465, 1009, 1090, 88, 2158, 4179, 1833, 1820, 8010, 5087, 2757, 16258, 17719, 1615, 3097, 1373 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3606, 8804, 27296, 1094, 2360, 3069, 1049, 3189, 1009, 15688, 3351, 3658, 1081, 23836, 10855, 1078, 2662, 1406, 1295, 1195, 14693, 1072, 3077, 5493, 6342, 1054, 4483, 32, 9220, 79, 2604, 8, 8847, 75, 12414, 14628, 1658, 17421, 26117, 8983, 1054, 5931, 1269, 81, 19512, 1043, 1026, 9381, 8214, 1084, 1092, 4138, 1005, 1006, 5380, 675, 26406, 21097, 5, 2045, 24789, 95, 2159, 2186, 11656, 26159, 1308, 4153, 11678, 3604, 8328, 4817, 8534, 7385, 2604, 28919, 2548, 45, 17165, 4050, 1037, 89, 3933, 26117, 3564, 17165, 4050, 1037, 89, 3933, 26117, 1, 13993, 3492, 3297, 78, 4358, 1054, 14036, 32, 675, 892, 0, 675, 6938, 91, 2077, 4479, 1803, 3295, 1009, 3403, 1009, 1696, 4681, 1096, 1094, 1086, 2227, 1076, 17930, 1048, 29733, 1054, 9262, 1009, 28297, 14112, 4349, 79, 2521, 1751, 1060, 2759, 17930, 1048, 14914, 1132, 3945, 5175, 1009, 10289, 2334, 1054, 3917, 1114, 12661, 1005, 7918, 1006, 9236, 1009, 5638, 4726, 8659, 1482, 4079, 10737, 3492, 3297, 5637, 1620, 24986, 1006, 11025, 1114, 1211, 1167, 1005, 1118, 5908, 7381, 10559, 78, 3297, 5637, 7717, 1224, 3560, 1072, 1901, 1009, 15203, 1213, 3251, 1009, 17516, 2800, 3267, 1151, 9828, 18, 1235, 1831, 7248, 18087, 1195, 1054, 9861, 1679, 24953, 4844, 12539, 1646, 1184, 6849, 1054, 1224, 6559, 1114, 2759, 22922, 18, 7918, 2156, 13770, 1009, 11025, 1072, 3848, 3747, 1009, 21340, 13359, 1175, 1094, 1118, 5908, 1005, 2924, 1114, 1211, 1167, 20, 2034, 5571, 5817, 1596, 1124, 12347, 4706, 1271, 24070, 4726, 2897, 1005, 1006, 1086, 2227, 1076, 1144, 11871, 1142, 1379, 81, 3926, 1006, 30575, 1009, 5638, 1049, 12270, 4349, 79, 2521, 1751, 1060, 2759, 17930, 1048, 14914, 1132, 3945, 5175, 1009, 3917, 1054, 10289, 18373, 4116, 2790, 1009, 25355, 1134, 10277, 31739, 1941, 1061, 3926, 4242, 1344, 1774, 3926, 1180, 21647, 1941, 25374, 18006, 1005, 1119, 4189, 9633, 29821, 7918, 1006, 9236, 1009, 5638, 1068, 1006, 5286, 6352, 14369, 2494, 4497, 1060, 1211, 6413, 16708, 9564, 1005, 1160, 14146, 1213, 1008, 1628, 2037, 16512, 1077, 4682, 1224, 4455, 1072, 3366, 1043, 1006, 5261, 2791, 2094, 1114, 2750, 1005, 3808, 1852, 4651, 3567, 10077, 1187, 3945, 1058, 7955, 20487, 1494, 1214, 91, 1322, 1006, 2759, 4398, 3097, 1006, 18310, 1009, 17281, 2484, 2725, 14077, 4733, 1124, 14673, 3273, 1322, 1006, 22741, 1049, 12992, 5529, 1006, 8955, 4594, 1009, 18383, 10671, 4538, 1079, 3492, 3297, 5637, 1005, 1569, 4141, 2032, 1009, 15539, 1318, 1043, 31694, 4844, 1138, 3435, 1195, 1006, 10151, 1112, 1060, 29736, 73, 1149, 1060, 5293, 1271, 22461, 1048, 23866, 3647, 1569, 13770, 18581, 3808, 5173, 1049, 1901, 1195, 1006, 8204, 1060, 3595, 1049, 4819, 1009, 26297, 1114, 27497, 7509, 12987, 13993, 14914, 1006, 5274, 1060, 1211, 1167, 1005, 1160, 9846, 1094, 2360, 6841, 20, 11938, 3121, 1006, 1261, 5087, 1188, 1006, 9120, 1009, 1224, 4374, 3097, 7023, 1043, 1006, 9236, 1009, 9712, 22463, 1054, 5274, 3991, 1236, 1357, 31379, 16758, 84, 23878, 2057, 20, 2642, 15227, 1026, 11769, 27395, 1009, 7905, 14914, 1132, 3945, 27515, 18, 1294, 2688, 1160, 14146, 1213, 1008, 1628, 4475, 4733, 1006, 6477, 1049, 12987, 13993, 6139, 9094, 1224, 16167, 1049, 30893, 2378, 22053, 3770, 6108, 1318, 1257, 8955, 4594, 1009, 18383, 10671, 5, 14218, 5409, 23818, 3296, 2310, 1257, 22451, 1021, 14723, 28602, 1060, 5310, 20326, 8649, 10950, 1060, 5310, 3564, 1021, 14723, 1294, 3945, 5175, 1009, 5874, 1009, 3917, 16031, 1294, 3945, 5175, 1009, 5874, 1009, 3917, 6577, 1009, 8979, 2077, 4479, 79, 1, 23947, 1868, 2767, 5827, 675, 4045, 1051, 1171, 1177, 2152, 4541, 6190, 1096, 1044, 4880, 2999, 1005, 5098, 12131, 4472, 10209, 1049, 5995, 1009, 20081, 1060, 4630, 4139, 41, 30978, 1005, 5474, 22524, 1049, 1561, 1054, 3032, 7432, 12450, 1005, 2670, 1060, 4338, 4708, 1009, 1764, 23947, 1271, 23776, 1182, 2032, 1005, 4880, 1009, 3560, 1049, 10219, 12890, 1356, 1428, 1195, 10612, 1068, 1026, 5995, 1009, 20081, 1060, 4630, 1054, 8683, 8451, 8348, 1054, 6391, 7587, 1257, 10081, 2923, 1054, 3282, 1356, 4316, 1009, 9818, 1431, 3151, 1009, 8750, 6070, 14311, 11426, 19136, 1349, 1054, 2026, 2023, 3126, 12652, 2999, 1049, 10219, 1006, 2323, 1009, 23421, 3027, 4224, 1188, 1132, 11620, 1009, 10760, 1009, 15411, 12590, 5612, 9086, 6304, 1054, 9834, 1005, 6763, 3784, 1005, 25493, 5612, 9086, 1072, 1428, 1058, 6681, 6452, 1054, 8683, 3027, 1318, 20349, 1006, 2562, 1009, 7778, 13209, 1060, 10763, 1049, 10219, 2271, 15440, 6738, 1118, 3236, 15790, 5202, 3110, 85, 1803, 8536, 12884, 1049, 5019, 14751, 1060, 10129, 2769, 1009, 12173, 17437, 30906, 1065, 1045, 1349, 12450, 1009, 1764, 23947, 1271, 23776, 1182, 2032, 1365, 8029, 1005, 16456, 1005, 9495, 2286, 13673, 1868, 2767, 1195, 9838, 1188, 1356, 2670, 6318, 7980, 18628, 1233, 6320, 1049, 20289, 6990, 1072, 8167, 1009, 10771, 2127, 6592, 1060, 16167, 1049, 6721, 1156, 1202, 8946, 1525, 1049, 5995, 1009, 20081, 1060, 29026, 1023, 10002, 1213, 10219, 13279, 1026, 5599, 24917, 1667, 1868, 2767, 1195, 10921, 1118, 25606, 2485, 25129, 19045, 16724, 1140, 1006, 1718, 26187, 7432, 12884, 1049, 16660, 59, 1072, 15155, 7400, 4210, 9958, 28, 1005, 2670, 1072, 15155, 7400, 4161, 9958, 30, 2286, 3113, 1009, 8936, 1195, 19970, 4734, 1009, 1048, 1026, 2670, 14900, 9581, 3550, 1461, 1072, 1592, 3681, 23947, 1868, 2767, 1068, 1026, 5333, 1009, 22524, 1049, 1561, 1054, 8258, 1054, 13051, 1006, 4243, 11123, 1067, 4146, 23082, 10774, 1006, 9738, 1009, 1235, 1720, 1356, 10219, 1068, 1006, 28906, 1054, 8258, 1054, 3049, 1009, 8936, 1868, 2767, 8451, 2923, 1049, 5333, 1009, 6721, 1049, 5995, 1009, 20081, 1009, 4630, 1054, 1083, 1009, 3403, 1009, 12034, 1847, 20793, 1118, 9203, 2376, 14723, 1034, 3818, 9079, 6031, 2847, 1114, 2533, 1342, 1049, 16660, 59, 5424, 20371, 1209, 1049, 5995, 1009, 20081, 1060, 4630, 6577, 1009, 19547, 1177, 18590, 1605, 26912, 1060, 6320, 1049, 20289, 6990, 3576, 1281, 1544, 1049, 15889, 3528, 13094, 1544, 1049, 1561, 1054, 3032, 1, 9075, 1252, 2060, 94, 1342, 1015, 1628, 1145, 1206, 675, 0, 5786, 2060, 94, 1342, 4139, 6456, 1096, 1026, 16415, 3809, 4635, 5361, 3778, 1072, 4618, 1009, 29589, 16415, 31692, 1511, 1837, 27472, 1009, 2935, 1009, 10378, 94, 1342, 4139, 6456, 1357, 30886, 1814, 27256, 21092, 3942, 1561, 1096, 4678, 3723, 1159, 1073, 1154, 84, 1128, 2471, 1084, 6905, 95, 1035, 6036, 9075, 25983, 1005, 17199, 25766, 3120, 2170, 1054, 8258, 1084, 1088, 2060, 6036, 2735, 95, 1007, 94, 1005, 7494, 1363, 2378, 1010, 2404, 3367, 74, 27295, 1305, 3171, 15197, 13138, 1693, 5593, 13291, 1402, 8394, 1009, 3886, 1006, 3114, 675, 328, 77, 8334, 1411, 1048, 1298, 1178, 28718, 1009, 2971, 1006, 3886, 675, 328, 77, 1009, 2848, 1054, 2848, 7082, 1495, 7780, 675, 328, 77, 8334, 2275, 1063, 15198, 1009, 6389, 4215, 1096, 1009, 3114, 1006, 1360, 675, 328, 77, 8334, 2275, 1119, 6473, 2120, 79, 1653, 3087, 1006, 4029, 1009, 1083, 1901, 32, 22344, 1006, 1487, 675, 328, 77, 21, 19912, 8334, 1034, 11402, 1037, 3401, 1257, 7281, 1096, 6715, 1072, 4618, 1009, 1898, 46, 2086, 90, 1336, 25983, 7639, 1276, 41, 1829, 1021, 1876, 1276, 51, 1483, 1171, 1530, 1276, 40, 15160, 1160, 22373, 1391, 1276, 58, 2060, 31484, 29931, 1276, 56, 1171, 3789, 1130, 29117, 1078, 1142, 42, 50, 1511, 1837, 23160, 1333, 1781, 2989, 75, 1206, 2311, 1120, 1104, 2746, 75, 2506, 2814, 9546, 1043, 9449, 1614, 1041, 2060, 1038, 6436, 1298, 1178, 3778, 1068, 17544, 30138, 2060, 1038, 5120, 4807, 1986, 1044, 1080, 5397, 20, 8384, 1976, 1178, 3778, 1068, 9149, 23084, 1149, 1511, 13412, 1009, 8620, 17161, 15438, 6299, 1009, 1128, 25, 1005, 1128, 26, 1054, 8620, 22119, 1007, 19, 1917, 3401, 21338, 1192, 1248, 1219, 3003, 1006, 1702, 1187, 5119, 4837, 27256, 5742, 94, 29931, 17279, 1206, 1681, 1781, 1626, 1961, 28214, 46, 16454, 1188, 1043, 6299, 25100, 1009, 1128, 25, 1005, 1128, 2471, 29666, 3497, 1029, 3110, 1024, 1183, 1066, 22767, 4405, 12613, 9240, 1009, 30138, 1336, 25983, 1876, 1998, 11685, 1006, 5275, 1986, 1101, 1006, 1307, 7082, 1009, 4618, 1005, 1026, 5654, 6460, 1049, 19084, 23990, 1356, 2444, 1675, 28666, 5011, 1072, 2535, 1009, 15689, 1171, 7576, 1043, 4618, 28488, 1006, 15181, 1298, 1178, 14222, 1054, 27789, 1005, 1026, 5654, 6460, 1054, 2978, 8956, 1063, 1756, 1252, 2060, 94, 1342, 4215, 1096, 1054, 13291, 2647, 1309, 1298, 1178, 1118, 2290, 1311, 1753, 1051, 2669, 1054, 2535, 1009, 15689, 1171, 1530, 1206, 1043, 71, 14350, 1118, 30138, 1336, 25983, 1876, 1160, 3043, 2270, 1063, 24385, 20854, 1096, 9406, 6073, 1071, 3949, 1006, 20169, 1349, 6438, 3234, 1118, 4306, 6648, 1005, 5243, 8424, 5293, 1005, 16733, 2013, 9194, 12079, 1072, 31415, 6369, 1005, 3494, 1108, 1667, 1063, 24385, 1298, 1178, 4910, 1140, 1356, 31415, 9764, 1005, 1096, 21750, 1054, 7213, 1043, 9157, 1037, 1035, 2040, 1009, 2716, 9194, 2762, 29666, 28865, 7520, 1223, 1525, 1206, 31626, 1013, 2275, 1062, 8381, 23417, 5494, 1159, 1006, 11480, 1009, 26015, 1005, 1124, 21967, 5565, 29863, 5087, 1040, 1006, 24385, 1009, 1128, 26, 1059, 0, 14996, 1009, 15312, 11, 1009, 1756, 1252, 2060, 94, 1342, 4139, 6456, 1325, 12583, 1726, 17303, 1536, 20640, 17599, 3587, 10378, 94, 1342, 6179, 2843, 30409, 4139, 18000, 1349, 7962, 1029, 20351, 1342, 1005, 1155, 20351, 5949, 14327, 17303, 2643, 1094, 1744, 26638, 1184, 15514, 1068, 1128, 26, 1048, 1068, 1064, 18403, 2060, 84, 1342, 4139, 30066, 13295, 4034, 28954, 1005, 10880, 10988, 4021, 1010, 1693, 13584, 1006, 8262, 1726, 17303, 1536, 20640, 4275, 14802, 1054, 6476, 1373, 1021, 2682, 17706, 1114, 4751, 1060, 2562, 16415, 3809, 1060, 27256, 21092, 1009, 1033, 5415, 1183, 1066, 15472, 1048, 1096, 22210, 2682, 10062, 5044, 16415, 15349, 1060, 27256, 21092, 1327, 22210, 6816, 1072, 24508, 1069, 1118, 1086, 26293, 1707, 84, 9042, 1005, 3821, 76, 1065, 1112, 1005, 1327, 2684, 1829, 1166, 1114, 1080, 3951, 1068, 1026, 18284, 12423, 11234, 2176, 1215, 1471, 19, 1208, 86, 2672, 1318, 2755, 1986, 1006, 5527, 88, 2954, 2571, 1005, 24385, 1072, 18284, 12423, 11841, 1751, 1049, 15526, 1136, 11637, 1069, 1890, 1026, 29726, 1096, 6715, 1068, 1006, 23359, 1009, 3606, 16415, 7090, 1060, 27256, 21092, 1059, 0, 5640, 16415, 15349, 27256, 25983, 6436, 1327, 5465, 7577, 3587, 2309, 1686, 2914, 33, 3316, 20730, 6323, 9395, 1009, 1128, 26, 24579, 1069, 22210, 1478, 2684, 1829, 1166, 1463, 2521, 2223, 1063, 2684, 1013, 1055, 3764, 8162, 1009, 1128, 26, 22469, 1043, 1006, 17516, 1063, 8486, 6785, 1236, 1009, 18971, 1009, 1756, 1252, 2060, 94, 1342, 1096, 1009, 1675, 1006, 1779, 2250, 1054, 7213, 1043, 27256, 21092, 22309, 1844, 1006, 1782, 2250, 1054, 7213, 1043, 30138, 1336, 25983, 1876, 1005, 1307, 1006, 1422, 2250, 1054, 7213, 1043, 25909, 1336, 25983, 1876, 19325, 2490, 1114, 15451, 1096, 1184, 27168, 1221, 1048, 1026, 30138, 1336, 25983, 1876, 1054, 2073, 16333, 3995, 20256, 1063, 1565, 7141, 71, 1006, 10410, 1054, 15935, 28359, 1339, 1708, 3242, 1087, 20897, 1009, 3597, 3367, 1128, 26, 1072, 8620, 1058, 17188, 2574, 1006, 2574, 1054, 1128, 2394, 1213, 6388, 1044, 18645, 5476, 1009, 15526, 4576, 1005, 1058, 6293, 2125, 2624, 1184, 9279, 1054, 19437, 1132, 30942, 1311, 3980, 1045, 3613, 8745, 1060, 27256, 25983, 1802, 1063, 1128, 25, 1005, 1128, 26, 3925, 21771, 1026, 29760, 27854, 1112, 1005, 1795, 8673, 1187, 2438, 3607, 23147, 1026, 20456, 1009, 3894, 1005, 1026, 3090, 1049, 2380, 23987, 1567, 4430, 27033, 20699, 14145, 1327, 9240, 1009, 25909, 1336, 25983, 1876, 1005, 1693, 7243, 26032, 6267, 1031, 1528, 1411, 11479, 1408, 83, 1242, 15197, 1139, 1273, 2503, 1017, 4481, 2137, 1145, 3106, 1590, 1342, 1009, 16712, 1349, 2503, 1017, 1009, 15672, 28705, 3155, 2007, 47, 88, 1408, 3343, 2007, 18716, 11038, 1940, 16800, 2563, 16465, 25542, 8844, 2106, 1797, 12261, 1273, 5, 5359, 1078, 16503, 1213, 7074, 2007, 16767, 15959, 11347, 5160, 17888, 1196, 1009, 5862, 4850, 1049, 4465, 1049, 22670, 4541, 6170, 88, 2300, 1637, 1436, 31377, 1102, 17398, 1787, 28956, 1005, 1050, 2214, 1478, 29216, 7907, 1132, 26776, 1266, 6473, 4807, 1986, 1006, 1742, 14320, 1093, 1377, 4685, 1298, 16034, 1024, 1206, 4121, 3386, 1094, 29666, 28865, 7520, 1223, 1525, 1206, 2924, 20133, 8594, 2275, 1482, 3978, 1298, 7907, 5943, 1009, 7603, 3772, 12776, 6546, 17874, 7730, 1016, 4215, 5791, 4569, 1986, 1006, 6937, 1060, 15198, 1206, 21749, 24295, 1049, 4618, 11402, 1148, 2765, 10880, 1016, 11191, 2806, 19891, 16258, 16301, 2137, 1402, 1048, 14967, 16652, 17209, 6102, 1206, 31254, 33, 1064, 1568, 1021, 1179, 4492, 5688, 6364, 4492, 2696, 5395, 175, 27439, 29311, 2961, 1031, 3097, 1429, 72, 1046, 1270, 3551, 3097, 7825, 1177, 30795, 4465, 1009, 1090, 88, 2158, 4179, 1833, 1820, 8010, 5087, 2757, 16258, 17719, 1615, 3097, 1373 ]

[ 3735, 1134, 4690, 1362, 7932, 1048, 1687, 8445, 3205, 1264, 1700, 2327, 1094, 1703, 9894, 1054, 2693, 1006, 1641, 1068, 9475, 1048, 8981, 31154, 1787, 10873, 7122, 1054, 1235, 27228, 12959, 1375, 1093, 1325, 26385, 3723, 1118, 1134, 4690, 1362, 3490, 1715, 1257, 21567, 12943, 1110, 5851, 1096, 1026, 1720, 1060, 27658, 1571, 1026, 1886, 14626, 150, 1469, 85, 4771, 1191, 1068, 9153, 1026, 10425, 1009, 1636, 1069, 1049, 19438, 30634, 1134, 4690, 1362, 1114, 14168, 1049, 2403, 1054, 2322, 10703, 7083, 37, 1, 10628, 2335, 1898, 84, 1553, 6730, 1195, 28735, 1026, 5654, 1049, 1311, 1040, 1364, 1876, 17024, 1463, 6847, 1009, 23510, 4851, 1068, 31075, 28478, 1312, 1294, 1588, 1938, 2989, 1588, 1648, 1236, 1675, 31008, 7224, 1005, 1588, 5206, 1061, 2816, 1009, 3596, 7984, 1071, 1292, 1019, 1565, 23510, 4851, 1068, 1746, 9823, 30970, 1921, 2905, 1054, 1600, 28, 1005, 1903, 1019, 1596, 11416, 15419, 14163, 1580, 1118, 2595, 7872, 5251, 2250, 1005, 6653, 2250, 1054, 1094, 10740, 1009, 26740, 18763, 4576, 2301, 1026, 8566, 1101, 18432, 1357, 16559, 5389, 83, 1086, 3452, 26, 1043, 17857, 31384, 11303, 1026, 5654, 1049, 1311, 1040, 1364, 1876, 1322, 1026, 4818, 1271, 23510, 4851, 1195, 28735, 2328, 1009, 1044, 4902, 1009, 13172, 1009, 27022, 18763, 4576, 1054, 8323, 12782, 19443, 1357, 3252, 1056, 1543, 1061, 5936, 4244, 1699, 28369, 2159, 1804, 1203, 1051, 2918, 19, 1684, 19, 5936, 4100, 1034, 2679, 1071, 1301, 1183, 1565, 1006, 10769, 6818, 1271, 23510, 4851, 1195, 24776, 1996, 1005, 1846, 1049, 1311, 1040, 1364, 5120, 2301, 1006, 18610, 5576, 1357, 16559, 22201, 1198, 22928, 3502, 28, 19, 3537, 6476, 1114, 3023, 6623, 1961, 6847, 10350, 1392, 1005, 1009, 27022, 1596, 3429, 5616, 1118, 1033, 90, 4492, 1004, 4418, 1005, 1323, 22440, 20791, 1132, 3770, 1009, 1033, 90, 1130, 1005, 1323, 92, 17156, 1048, 1132, 1588, 1938, 2989, 1596, 17155, 1166, 1118, 10450, 1038, 2094, 14802, 1054, 1011, 2063, 1271, 28741, 1588, 1053, 1640, 6997, 1159, 3435, 1060, 1011, 2063, 1271, 28741, 1588, 1053, 1640, 3589, 5756, 1006, 6937, 1060, 10769, 6818, 1762, 1248, 1278, 22637, 1213, 1557, 1009, 7140, 1213, 1311, 1040, 1364, 9144, 1006, 12667, 1009, 1903, 1019, 14163, 1236, 1118, 6653, 2250, 7734, 1048, 1006, 29228, 1118, 26740, 5341, 1079, 1006, 8202, 1213, 27022, 5856, 23510, 23171, 1006, 23510, 3276, 7217, 21059, 1033, 1398, 3716, 1054, 1224, 7202, 1986, 1026, 8501, 4475, 4850, 1060, 29228, 10450, 1038, 8736, 1006, 23510, 3276, 1068, 1746, 9823, 5055, 1140, 1043, 1600, 28, 1160, 7217, 6476, 17706, 1072, 1235, 4818, 1072, 4902, 6239, 1183, 3133, 2323, 1049, 18861, 2688, 1327, 1124, 2880, 19, 3208, 4507, 4777, 15701, 83, 3276, 1068, 1746, 12438, 1588, 1648, 1236, 8856, 1588, 5206, 1061, 2816, 1009, 3596, 6845, 2485, 1311, 1040, 1364, 5120, 6239, 1183, 1, 22798, 7855, 22900, 1233, 2511, 4960, 32, 1175, 7527, 12410, 1175, 1138, 2878, 26924, 1073, 2432, 75, 1234, 15373, 2679, 21230, 12983, 1250, 3201, 1159, 26924, 3936, 73, 5796, 31696, 1073, 2432, 75, 1005, 13863, 3201, 5417, 1159, 1026, 26924, 1073, 2432, 20918, 1096, 1044, 6859, 19857, 18623, 1006, 1752, 1901, 1356, 1853, 7093, 14419, 4823, 1114, 4397, 9288, 1005, 6342, 1072, 4037, 26013, 1138, 9291, 1049, 2878, 26924, 1073, 2432, 75, 1096, 4215, 8990, 1905, 1009, 13165, 4750, 1005, 3189, 33, 5819, 1026, 6859, 1096, 1009, 1807, 4493, 1068, 1026, 6545, 1009, 4106, 20, 7731, 1006, 1224, 28635, 1657, 1132, 10385, 1060, 23896, 5921, 14226, 18, 1060, 13937, 1005, 1060, 6442, 1049, 2709, 19778, 3232, 1049, 2079, 9213, 1182, 91, 158, 15, 1596, 7257, 2287, 1068, 4305, 1026, 6859, 33, 1054, 7127, 1072, 2268, 2122, 7257, 3003, 1195, 3322, 3234, 1068, 2073, 7093, 1054, 4397, 6832, 1377, 1175, 2045, 12553, 2694, 5067, 2186, 1603, 12155, 1094, 2042, 1060, 2531, 1634, 2860, 1096, 1044, 7093, 1068, 1132, 5162, 1060, 19066, 1634, 2860, 2376, 1497, 2430, 7866, 8858, 1054, 8462, 1118, 13280, 31045, 1054, 2026, 1999, 12848, 17091, 1114, 10092, 5787, 8272, 1005, 16613, 3729, 1312, 1118, 1094, 4671, 4668, 10382, 1114, 4963, 2275, 2430, 1214, 4857, 1026, 6670, 2376, 2006, 1009, 15373, 1055, 17325, 13397, 17064, 1044, 6859, 1009, 3066, 25464, 1118, 1044, 10527, 1009, 16119, 22127, 4866, 5345, 1175, 1705, 21611, 7798, 1071, 2026, 6456, 1096, 1044, 7093, 20931, 1114, 3494, 3966, 1357, 19066, 1634, 2860, 2376, 1497, 2430, 1214, 20, 3126, 28630, 1068, 1026, 6670, 26924, 1054, 2026, 2567, 1175, 1138, 4632, 1009, 10482, 1009, 26154, 3306, 4503, 15, 1096, 1094, 12048, 1009, 3780, 10206, 1054, 9604, 4216, 14106, 17177, 1916, 5508, 1140, 1054, 9856, 23, 1054, 3484, 1233, 11184, 14786, 2983, 1187, 2138, 6547, 1026, 1082, 4503, 21493, 1044, 2550, 21466, 14531, 27157, 16563, 1005, 12305, 8912, 1006, 11597, 8778, 1922, 1230, 1054, 6644, 15002, 1005, 11204, 20, 7968, 1544, 26168, 1054, 4723, 5783, 8760, 1024, 1005, 9081, 1098, 1421, 1230, 1890, 1006, 6074, 3578, 3747, 1005, 1006, 3578, 1134, 24736, 1063, 3780, 1009, 5978, 9263, 25283, 17282, 1068, 1006, 8403, 9330, 1049, 2823, 23591, 1005, 19603, 1288, 6669, 27106, 1423, 20, 1138, 19603, 3633, 8951, 1054, 25470, 1005, 1058, 11089, 1213, 2729, 1060, 9130, 3184, 1060, 19075, 1049, 4489, 8628, 20, 2376, 1497, 2430, 1214, 4509, 8535, 2106, 2978, 1009, 3370, 1009, 3310, 7362, 1096, 1094, 25409, 1291, 1634, 2860, 1005, 1006, 1482, 1014, 1497, 3753, 9398, 9044, 1358, 1528, 12458, 1009, 14047, 1436, 1072, 4632, 1009, 10482, 1009, 17177, 1916, 2800, 4823, 2339, 1687, 1195, 21231, 1068, 1026, 26924, 1073, 2432, 75, 2125, 2624, 33, 1687, 3661, 1044, 2741, 78, 2498, 71, 13137, 1019, 1040, 95, 6904, 1054, 13850, 1118, 1235, 7093, 5707, 1336, 2488, 2186, 28510, 8, 1009, 1406, 2741, 78, 2498, 71, 13137, 1019, 1040, 2196, 7299, 2769, 1009, 14911, 1060, 3494, 3966, 33, 1687, 4857, 1026, 21657, 13397, 1423, 1073, 2432, 75, 1234, 7426, 12553, 2694, 5067, 2186, 26969, 2100, 4567, 1009, 5470, 1132, 27929, 12760, 5342, 1006, 1853, 3484, 1068, 1006, 8621, 1048, 1058, 4768, 1006, 5083, 1019, 1891, 1370, 8, 1043, 1006, 2869, 1009, 28992, 1701, 1020, 2048, 10415, 9125, 3035, 32, 1175, 4431, 1175, 8633, 1021, 31045, 1175, 4506, 16248, 89, 23562, 1009, 4639, 1175, 3189, 1257, 21567, 12943, 3133, 1853, 3484, 1068, 1006, 8621, 13742, 1043, 24287, 21611, 7798, 8, 1043, 1006, 2869, 1049, 28992, 1701, 1020, 2048, 13, 1096, 1538, 14141, 1021, 31045, 10415, 3782, 2246, 1538, 2702, 21611, 7798, 13, 1096, 1044, 7093, 4823, 1118, 2376, 1497, 2430, 1214, 1005, 6342, 1054, 8462, 1118, 13280, 31045, 1054, 2026, 2567, 1, 15888, 1079, 4619, 11157, 1058, 6054, 1006, 5865, 8895, 3068, 5576, 1009, 20053, 3713, 1298, 1323, 3371, 1006, 6679, 1006, 2350, 8155, 37, 1603, 1299, 1160, 6157, 1870, 1118, 3653, 18570, 6234, 1627, 1503, 1160, 3002, 2100, 22502, 12155, 1138, 1048, 1006, 6866, 1009, 30808, 2178, 8681, 1919, 37, 10281, 4869, 32, 1138, 8840, 3801, 25558, 1536, 1252, 32, 15355, 3982, 9360, 20, 3316, 3757, 1986, 1026, 1215, 11398, 1009, 5542, 1005, 9685, 26530, 2735, 1320, 12787, 1831, 2403, 1009, 1138, 8840, 1349, 1026, 11501, 9465, 9129, 30808, 2178, 8681, 4509, 21824, 24377, 1227, 15, 11056, 1006, 1235, 5399, 6873, 20767, 6136, 1056, 23229, 2461, 15, 1068, 12952, 1094, 5370, 1213, 7887, 1563, 1049, 3419, 5102, 1009, 2735, 1320, 18, 10281, 4869, 20, 2200, 10920, 1048, 10281, 4869, 1096, 1026, 2487, 1031, 88, 2575, 1005, 1048, 1006, 5370, 4836, 1044, 12855, 1005, 1132, 8326, 1068, 11410, 10281, 4869, 20, 2800, 20767, 1160, 1325, 8218, 2647, 30808, 2178, 8681, 5510, 5193, 1233, 2296, 9452, 1060, 9852, 1009, 1941, 2327, 3947, 10310, 6256, 1094, 5530, 10068, 1049, 2487, 1031, 88, 2575, 1043, 1026, 7939, 1009, 10281, 4869, 20, 20767, 1325, 8218, 2647, 1309, 1132, 1791, 1327, 17407, 3500, 20435, 1159, 1044, 27014, 11344, 25246, 1377, 57, 2509, 1646, 5738, 10281, 4869, 7821, 1081, 13722, 11463, 7234, 1730, 6943, 15, 1325, 15075, 1043, 1235, 1030, 2037, 1026, 11747, 8461, 2735, 1320, 8847, 20315, 24785, 1051, 15, 1005, 1224, 16692, 11921, 4509, 9497, 23771, 15, 1054, 1094, 1807, 2573, 2979, 1009, 21663, 17431, 3150, 2200, 1058, 4145, 1680, 1043, 1235, 21897, 1009, 1984, 1646, 8904, 4509, 21539, 6339, 1065, 1349, 3419, 1009, 8461, 18, 1043, 2306, 1264, 1325, 20779, 5408, 1054, 1094, 19110, 5051, 20, 1776, 2268, 1264, 1096, 13202, 96, 1069, 1357, 25252, 1570, 1129, 2794, 4307, 1785, 15556, 5202, 1349, 1048, 12219, 1197, 8904, 1005, 7596, 1048, 10281, 4869, 1094, 2716, 3542, 4195, 1592, 8072, 1157, 16313, 8461, 2979, 1009, 1224, 6411, 1058, 1264, 1160, 19111, 1132, 1791, 1742, 22526, 2494, 2921, 9342, 1006, 9097, 1009, 1044, 1359, 3420, 1251, 6378, 1005, 3865, 1044, 6147, 30534, 22793, 1845, 19540, 1009, 1044, 14856, 1026, 4942, 8628, 27685, 5469, 2628, 12011, 1073, 2461, 1017, 1349, 1048, 1096, 1026, 7744, 2405, 1049, 6872, 2735, 1320, 18, 8461, 1096, 8220, 1213, 8746, 21845, 19381, 4356, 82, 7578, 10732, 2399, 1528, 1349, 1048, 1195, 1044, 14742, 1009, 9947, 3664, 16213, 6206, 13046, 2403, 3388, 1565, 23509, 4947, 1006, 1082, 5375, 1107, 1009, 1941, 2327, 1045, 1005, 1211, 13233, 1044, 1319, 85, 1068, 2252, 1124, 11832, 1048, 9021, 1412, 10281, 79, 3933, 2966, 16213, 1253, 1678, 21845, 9047, 10657, 1024, 8461, 18, 1309, 1264, 1006, 13234, 2979, 1009, 1224, 2282, 1093, 22247, 4567, 1009, 1044, 13605, 1043, 27685, 1005, 11921, 2735, 1320, 1072, 6872, 2735, 1320, 18, 21845, 5749, 1455, 2139, 1322, 1058, 1026, 7939, 1009, 10281, 4869, 18670, 1006, 8423, 1114, 1082, 5375, 1107, 1009, 1941, 2327, 9718, 21845, 2155, 5574, 10281, 4869, 1054, 1224, 14595, 1309, 1511, 1687, 5662, 1026, 7939, 1048, 1687, 4126, 1054, 1008, 1948, 3617, 2494, 1090, 5916, 1235, 4526, 3833, 11058, 17714, 20, 3735, 1687, 4126, 1049, 18075, 1687, 1096, 6231, 1140, 1118, 1044, 1359, 29985, 1048, 1008, 4529, 89, 1456, 4101, 1068, 18518, 3748, 5291, 1178, 30362, 1140, 1118, 1044, 20386, 1048, 1475, 1377, 29573, 3952, 1846, 1054, 2735, 1320, 1715, 1257, 1150, 15753, 5384, 3002, 18883, 1006, 6679, 2350, 8155, 1322, 2237, 5576, 1049, 20053, 1257, 1257, 1482, 1831, 8248, 1006, 6866, 1009, 30808, 2178, 77, 3933, 3702, 1160, 21369, 29045, 1072, 7566, 1049, 14493, 2185, 2647, 6178, 4836, 2266, 22413, 10281, 4869, 1159, 1026, 2487, 1031, 3101, 1100, 1680, 1159, 8854, 1322, 1159, 1795, 21131, 1063, 6866, 1381, 1751, 1060, 12254, 23473, 6146, 2340, 5510, 1213, 18943, 28870, 5457, 1187, 4203, 1072, 20053, 1257, 1424, 2068, 1072, 14493, 1049, 2403, 2185, 2647, 15907, 6248, 1130, 1048, 1132, 5138, 1327, 1751, 16515, 1049, 3090, 1049, 14493, 32, 1257, 1257, 3130, 9129, 30808, 2178, 8681, 1175, 2858, 11501, 9465, 1048, 3134, 4318, 2512, 1322, 1006, 7472, 8564, 1009, 10281, 4869, 1005, 9047, 14451, 1124, 2266, 1213, 1235, 5399, 6873, 20767, 20, 1257, 4004, 6873, 20767, 1175, 2858, 5399, 1009, 30808, 2178, 8681, 1048, 1058, 1884, 3387, 1060, 7472, 5154, 1009, 10281, 4869, 1846, 1009, 1419, 1006, 5530, 10068, 1049, 2487, 1031, 88, 2575, 1114, 9852, 1009, 1941, 2327, 9718, 1257, 5142, 10281, 4869, 1175, 1138, 4575, 2751, 1048, 1096, 16691, 1068, 1178, 1026, 2487, 1031, 3101, 1100, 17770, 1288, 1132, 7042, 1060, 2531, 1009, 1235, 1030, 4475, 1655, 10, 6398, 6013, 8461, 2735, 1320, 1175, 19705, 1009, 10281, 79, 3933, 1044, 11747, 1686, 2274, 1005, 7887, 21558, 1048, 10968, 8394, 23558, 1778, 1060, 7472, 5154, 1009, 1235, 25803, 20, 1655, 10, 1487, 1175, 1487, 11921, 2735, 1320, 1175, 7391, 1009, 8461, 1048, 19227, 1006, 10281, 4869, 20, 1257, 9884, 8904, 1175, 21897, 1009, 10281, 79, 3933, 1044, 5399, 25711, 1005, 1651, 1906, 20, 1257, 10723, 1128, 1034, 1570, 1129, 1175, 2858, 4575, 1614, 1165, 6853, 1048, 1160, 7464, 1009, 10281, 4869, 1005, 18310, 1048, 1264, 2374, 1094, 6640, 1915, 17663, 1655, 10, 6398, 10396, 4942, 8628, 27685, 1175, 2858, 7744, 2405, 1009, 24642, 1005, 1094, 8262, 1365, 8461, 2735, 1320, 1005, 1006, 8746, 21845, 19381, 20, 1257, 11736, 21845, 19381, 1175, 2858, 8746, 1048, 7932, 1006, 4556, 1322, 10281, 4869, 1005, 9047, 15521, 8461, 2735, 1320, 1322, 1006, 7472, 5154, 1009, 1235, 25803, 20, 1257, 1257, 1482, 4732, 1009, 8895, 3068, 5576, 1009, 10872, 4548, 2088, 6863, 1048, 1299, 1298, 11146, 8316, 32, 1257, 36, 29388, 32, 4954, 1046, 4869, 32, 1138, 8840, 3801, 8, 1325, 1288, 1006, 4783, 1009, 26385, 1005, 3286, 22475, 2652, 13795, 1787, 1058, 3530, 14236, 2643, 1094, 3596, 9183, 1072, 3099, 3633, 1005, 1058, 1857, 1058, 1155, 4888, 1043, 1456, 9200, 1009, 6573, 20, 1257, 4004, 8450, 30870, 32, 1138, 2403, 6178, 4597, 1159, 9678, 1044, 2999, 14208, 1054, 7002, 16603, 1921, 2255, 14523, 2212, 22315, 1005, 3286, 22475, 10793, 2034, 1851, 1013, 1371, 1009 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3735, 1134, 4690, 1362, 7932, 1048, 1687, 8445, 3205, 1264, 1700, 2327, 1094, 1703, 9894, 1054, 2693, 1006, 1641, 1068, 9475, 1048, 8981, 31154, 1787, 10873, 7122, 1054, 1235, 27228, 12959, 1375, 1093, 1325, 26385, 3723, 1118, 1134, 4690, 1362, 3490, 1715, 1257, 21567, 12943, 1110, 5851, 1096, 1026, 1720, 1060, 27658, 1571, 1026, 1886, 14626, 150, 1469, 85, 4771, 1191, 1068, 9153, 1026, 10425, 1009, 1636, 1069, 1049, 19438, 30634, 1134, 4690, 1362, 1114, 14168, 1049, 2403, 1054, 2322, 10703, 7083, 37, 1, 10628, 2335, 1898, 84, 1553, 6730, 1195, 28735, 1026, 5654, 1049, 1311, 1040, 1364, 1876, 17024, 1463, 6847, 1009, 23510, 4851, 1068, 31075, 28478, 1312, 1294, 1588, 1938, 2989, 1588, 1648, 1236, 1675, 31008, 7224, 1005, 1588, 5206, 1061, 2816, 1009, 3596, 7984, 1071, 1292, 1019, 1565, 23510, 4851, 1068, 1746, 9823, 30970, 1921, 2905, 1054, 1600, 28, 1005, 1903, 1019, 1596, 11416, 15419, 14163, 1580, 1118, 2595, 7872, 5251, 2250, 1005, 6653, 2250, 1054, 1094, 10740, 1009, 26740, 18763, 4576, 2301, 1026, 8566, 1101, 18432, 1357, 16559, 5389, 83, 1086, 3452, 26, 1043, 17857, 31384, 11303, 1026, 5654, 1049, 1311, 1040, 1364, 1876, 1322, 1026, 4818, 1271, 23510, 4851, 1195, 28735, 2328, 1009, 1044, 4902, 1009, 13172, 1009, 27022, 18763, 4576, 1054, 8323, 12782, 19443, 1357, 3252, 1056, 1543, 1061, 5936, 4244, 1699, 28369, 2159, 1804, 1203, 1051, 2918, 19, 1684, 19, 5936, 4100, 1034, 2679, 1071, 1301, 1183, 1565, 1006, 10769, 6818, 1271, 23510, 4851, 1195, 24776, 1996, 1005, 1846, 1049, 1311, 1040, 1364, 5120, 2301, 1006, 18610, 5576, 1357, 16559, 22201, 1198, 22928, 3502, 28, 19, 3537, 6476, 1114, 3023, 6623, 1961, 6847, 10350, 1392, 1005, 1009, 27022, 1596, 3429, 5616, 1118, 1033, 90, 4492, 1004, 4418, 1005, 1323, 22440, 20791, 1132, 3770, 1009, 1033, 90, 1130, 1005, 1323, 92, 17156, 1048, 1132, 1588, 1938, 2989, 1596, 17155, 1166, 1118, 10450, 1038, 2094, 14802, 1054, 1011, 2063, 1271, 28741, 1588, 1053, 1640, 6997, 1159, 3435, 1060, 1011, 2063, 1271, 28741, 1588, 1053, 1640, 3589, 5756, 1006, 6937, 1060, 10769, 6818, 1762, 1248, 1278, 22637, 1213, 1557, 1009, 7140, 1213, 1311, 1040, 1364, 9144, 1006, 12667, 1009, 1903, 1019, 14163, 1236, 1118, 6653, 2250, 7734, 1048, 1006, 29228, 1118, 26740, 5341, 1079, 1006, 8202, 1213, 27022, 5856, 23510, 23171, 1006, 23510, 3276, 7217, 21059, 1033, 1398, 3716, 1054, 1224, 7202, 1986, 1026, 8501, 4475, 4850, 1060, 29228, 10450, 1038, 8736, 1006, 23510, 3276, 1068, 1746, 9823, 5055, 1140, 1043, 1600, 28, 1160, 7217, 6476, 17706, 1072, 1235, 4818, 1072, 4902, 6239, 1183, 3133, 2323, 1049, 18861, 2688, 1327, 1124, 2880, 19, 3208, 4507, 4777, 15701, 83, 3276, 1068, 1746, 12438, 1588, 1648, 1236, 8856, 1588, 5206, 1061, 2816, 1009, 3596, 6845, 2485, 1311, 1040, 1364, 5120, 6239, 1183, 1, 22798, 7855, 22900, 1233, 2511, 4960, 32, 1175, 7527, 12410, 1175, 1138, 2878, 26924, 1073, 2432, 75, 1234, 15373, 2679, 21230, 12983, 1250, 3201, 1159, 26924, 3936, 73, 5796, 31696, 1073, 2432, 75, 1005, 13863, 3201, 5417, 1159, 1026, 26924, 1073, 2432, 20918, 1096, 1044, 6859, 19857, 18623, 1006, 1752, 1901, 1356, 1853, 7093, 14419, 4823, 1114, 4397, 9288, 1005, 6342, 1072, 4037, 26013, 1138, 9291, 1049, 2878, 26924, 1073, 2432, 75, 1096, 4215, 8990, 1905, 1009, 13165, 4750, 1005, 3189, 33, 5819, 1026, 6859, 1096, 1009, 1807, 4493, 1068, 1026, 6545, 1009, 4106, 20, 7731, 1006, 1224, 28635, 1657, 1132, 10385, 1060, 23896, 5921, 14226, 18, 1060, 13937, 1005, 1060, 6442, 1049, 2709, 19778, 3232, 1049, 2079, 9213, 1182, 91, 158, 15, 1596, 7257, 2287, 1068, 4305, 1026, 6859, 33, 1054, 7127, 1072, 2268, 2122, 7257, 3003, 1195, 3322, 3234, 1068, 2073, 7093, 1054, 4397, 6832, 1377, 1175, 2045, 12553, 2694, 5067, 2186, 1603, 12155, 1094, 2042, 1060, 2531, 1634, 2860, 1096, 1044, 7093, 1068, 1132, 5162, 1060, 19066, 1634, 2860, 2376, 1497, 2430, 7866, 8858, 1054, 8462, 1118, 13280, 31045, 1054, 2026, 1999, 12848, 17091, 1114, 10092, 5787, 8272, 1005, 16613, 3729, 1312, 1118, 1094, 4671, 4668, 10382, 1114, 4963, 2275, 2430, 1214, 4857, 1026, 6670, 2376, 2006, 1009, 15373, 1055, 17325, 13397, 17064, 1044, 6859, 1009, 3066, 25464, 1118, 1044, 10527, 1009, 16119, 22127, 4866, 5345, 1175, 1705, 21611, 7798, 1071, 2026, 6456, 1096, 1044, 7093, 20931, 1114, 3494, 3966, 1357, 19066, 1634, 2860, 2376, 1497, 2430, 1214, 20, 3126, 28630, 1068, 1026, 6670, 26924, 1054, 2026, 2567, 1175, 1138, 4632, 1009, 10482, 1009, 26154, 3306, 4503, 15, 1096, 1094, 12048, 1009, 3780, 10206, 1054, 9604, 4216, 14106, 17177, 1916, 5508, 1140, 1054, 9856, 23, 1054, 3484, 1233, 11184, 14786, 2983, 1187, 2138, 6547, 1026, 1082, 4503, 21493, 1044, 2550, 21466, 14531, 27157, 16563, 1005, 12305, 8912, 1006, 11597, 8778, 1922, 1230, 1054, 6644, 15002, 1005, 11204, 20, 7968, 1544, 26168, 1054, 4723, 5783, 8760, 1024, 1005, 9081, 1098, 1421, 1230, 1890, 1006, 6074, 3578, 3747, 1005, 1006, 3578, 1134, 24736, 1063, 3780, 1009, 5978, 9263, 25283, 17282, 1068, 1006, 8403, 9330, 1049, 2823, 23591, 1005, 19603, 1288, 6669, 27106, 1423, 20, 1138, 19603, 3633, 8951, 1054, 25470, 1005, 1058, 11089, 1213, 2729, 1060, 9130, 3184, 1060, 19075, 1049, 4489, 8628, 20, 2376, 1497, 2430, 1214, 4509, 8535, 2106, 2978, 1009, 3370, 1009, 3310, 7362, 1096, 1094, 25409, 1291, 1634, 2860, 1005, 1006, 1482, 1014, 1497, 3753, 9398, 9044, 1358, 1528, 12458, 1009, 14047, 1436, 1072, 4632, 1009, 10482, 1009, 17177, 1916, 2800, 4823, 2339, 1687, 1195, 21231, 1068, 1026, 26924, 1073, 2432, 75, 2125, 2624, 33, 1687, 3661, 1044, 2741, 78, 2498, 71, 13137, 1019, 1040, 95, 6904, 1054, 13850, 1118, 1235, 7093, 5707, 1336, 2488, 2186, 28510, 8, 1009, 1406, 2741, 78, 2498, 71, 13137, 1019, 1040, 2196, 7299, 2769, 1009, 14911, 1060, 3494, 3966, 33, 1687, 4857, 1026, 21657, 13397, 1423, 1073, 2432, 75, 1234, 7426, 12553, 2694, 5067, 2186, 26969, 2100, 4567, 1009, 5470, 1132, 27929, 12760, 5342, 1006, 1853, 3484, 1068, 1006, 8621, 1048, 1058, 4768, 1006, 5083, 1019, 1891, 1370, 8, 1043, 1006, 2869, 1009, 28992, 1701, 1020, 2048, 10415, 9125, 3035, 32, 1175, 4431, 1175, 8633, 1021, 31045, 1175, 4506, 16248, 89, 23562, 1009, 4639, 1175, 3189, 1257, 21567, 12943, 3133, 1853, 3484, 1068, 1006, 8621, 13742, 1043, 24287, 21611, 7798, 8, 1043, 1006, 2869, 1049, 28992, 1701, 1020, 2048, 13, 1096, 1538, 14141, 1021, 31045, 10415, 3782, 2246, 1538, 2702, 21611, 7798, 13, 1096, 1044, 7093, 4823, 1118, 2376, 1497, 2430, 1214, 1005, 6342, 1054, 8462, 1118, 13280, 31045, 1054, 2026, 2567, 1, 15888, 1079, 4619, 11157, 1058, 6054, 1006, 5865, 8895, 3068, 5576, 1009, 20053, 3713, 1298, 1323, 3371, 1006, 6679, 1006, 2350, 8155, 37, 1603, 1299, 1160, 6157, 1870, 1118, 3653, 18570, 6234, 1627, 1503, 1160, 3002, 2100, 22502, 12155, 1138, 1048, 1006, 6866, 1009, 30808, 2178, 8681, 1919, 37, 10281, 4869, 32, 1138, 8840, 3801, 25558, 1536, 1252, 32, 15355, 3982, 9360, 20, 3316, 3757, 1986, 1026, 1215, 11398, 1009, 5542, 1005, 9685, 26530, 2735, 1320, 12787, 1831, 2403, 1009, 1138, 8840, 1349, 1026, 11501, 9465, 9129, 30808, 2178, 8681, 4509, 21824, 24377, 1227, 15, 11056, 1006, 1235, 5399, 6873, 20767, 6136, 1056, 23229, 2461, 15, 1068, 12952, 1094, 5370, 1213, 7887, 1563, 1049, 3419, 5102, 1009, 2735, 1320, 18, 10281, 4869, 20, 2200, 10920, 1048, 10281, 4869, 1096, 1026, 2487, 1031, 88, 2575, 1005, 1048, 1006, 5370, 4836, 1044, 12855, 1005, 1132, 8326, 1068, 11410, 10281, 4869, 20, 2800, 20767, 1160, 1325, 8218, 2647, 30808, 2178, 8681, 5510, 5193, 1233, 2296, 9452, 1060, 9852, 1009, 1941, 2327, 3947, 10310, 6256, 1094, 5530, 10068, 1049, 2487, 1031, 88, 2575, 1043, 1026, 7939, 1009, 10281, 4869, 20, 20767, 1325, 8218, 2647, 1309, 1132, 1791, 1327, 17407, 3500, 20435, 1159, 1044, 27014, 11344, 25246, 1377, 57, 2509, 1646, 5738, 10281, 4869, 7821, 1081, 13722, 11463, 7234, 1730, 6943, 15, 1325, 15075, 1043, 1235, 1030, 2037, 1026, 11747, 8461, 2735, 1320, 8847, 20315, 24785, 1051, 15, 1005, 1224, 16692, 11921, 4509, 9497, 23771, 15, 1054, 1094, 1807, 2573, 2979, 1009, 21663, 17431, 3150, 2200, 1058, 4145, 1680, 1043, 1235, 21897, 1009, 1984, 1646, 8904, 4509, 21539, 6339, 1065, 1349, 3419, 1009, 8461, 18, 1043, 2306, 1264, 1325, 20779, 5408, 1054, 1094, 19110, 5051, 20, 1776, 2268, 1264, 1096, 13202, 96, 1069, 1357, 25252, 1570, 1129, 2794, 4307, 1785, 15556, 5202, 1349, 1048, 12219, 1197, 8904, 1005, 7596, 1048, 10281, 4869, 1094, 2716, 3542, 4195, 1592, 8072, 1157, 16313, 8461, 2979, 1009, 1224, 6411, 1058, 1264, 1160, 19111, 1132, 1791, 1742, 22526, 2494, 2921, 9342, 1006, 9097, 1009, 1044, 1359, 3420, 1251, 6378, 1005, 3865, 1044, 6147, 30534, 22793, 1845, 19540, 1009, 1044, 14856, 1026, 4942, 8628, 27685, 5469, 2628, 12011, 1073, 2461, 1017, 1349, 1048, 1096, 1026, 7744, 2405, 1049, 6872, 2735, 1320, 18, 8461, 1096, 8220, 1213, 8746, 21845, 19381, 4356, 82, 7578, 10732, 2399, 1528, 1349, 1048, 1195, 1044, 14742, 1009, 9947, 3664, 16213, 6206, 13046, 2403, 3388, 1565, 23509, 4947, 1006, 1082, 5375, 1107, 1009, 1941, 2327, 1045, 1005, 1211, 13233, 1044, 1319, 85, 1068, 2252, 1124, 11832, 1048, 9021, 1412, 10281, 79, 3933, 2966, 16213, 1253, 1678, 21845, 9047, 10657, 1024, 8461, 18, 1309, 1264, 1006, 13234, 2979, 1009, 1224, 2282, 1093, 22247, 4567, 1009, 1044, 13605, 1043, 27685, 1005, 11921, 2735, 1320, 1072, 6872, 2735, 1320, 18, 21845, 5749, 1455, 2139, 1322, 1058, 1026, 7939, 1009, 10281, 4869, 18670, 1006, 8423, 1114, 1082, 5375, 1107, 1009, 1941, 2327, 9718, 21845, 2155, 5574, 10281, 4869, 1054, 1224, 14595, 1309, 1511, 1687, 5662, 1026, 7939, 1048, 1687, 4126, 1054, 1008, 1948, 3617, 2494, 1090, 5916, 1235, 4526, 3833, 11058, 17714, 20, 3735, 1687, 4126, 1049, 18075, 1687, 1096, 6231, 1140, 1118, 1044, 1359, 29985, 1048, 1008, 4529, 89, 1456, 4101, 1068, 18518, 3748, 5291, 1178, 30362, 1140, 1118, 1044, 20386, 1048, 1475, 1377, 29573, 3952, 1846, 1054, 2735, 1320, 1715, 1257, 1150, 15753, 5384, 3002, 18883, 1006, 6679, 2350, 8155, 1322, 2237, 5576, 1049, 20053, 1257, 1257, 1482, 1831, 8248, 1006, 6866, 1009, 30808, 2178, 77, 3933, 3702, 1160, 21369, 29045, 1072, 7566, 1049, 14493, 2185, 2647, 6178, 4836, 2266, 22413, 10281, 4869, 1159, 1026, 2487, 1031, 3101, 1100, 1680, 1159, 8854, 1322, 1159, 1795, 21131, 1063, 6866, 1381, 1751, 1060, 12254, 23473, 6146, 2340, 5510, 1213, 18943, 28870, 5457, 1187, 4203, 1072, 20053, 1257, 1424, 2068, 1072, 14493, 1049, 2403, 2185, 2647, 15907, 6248, 1130, 1048, 1132, 5138, 1327, 1751, 16515, 1049, 3090, 1049, 14493, 32, 1257, 1257, 3130, 9129, 30808, 2178, 8681, 1175, 2858, 11501, 9465, 1048, 3134, 4318, 2512, 1322, 1006, 7472, 8564, 1009, 10281, 4869, 1005, 9047, 14451, 1124, 2266, 1213, 1235, 5399, 6873, 20767, 20, 1257, 4004, 6873, 20767, 1175, 2858, 5399, 1009, 30808, 2178, 8681, 1048, 1058, 1884, 3387, 1060, 7472, 5154, 1009, 10281, 4869, 1846, 1009, 1419, 1006, 5530, 10068, 1049, 2487, 1031, 88, 2575, 1114, 9852, 1009, 1941, 2327, 9718, 1257, 5142, 10281, 4869, 1175, 1138, 4575, 2751, 1048, 1096, 16691, 1068, 1178, 1026, 2487, 1031, 3101, 1100, 17770, 1288, 1132, 7042, 1060, 2531, 1009, 1235, 1030, 4475, 1655, 10, 6398, 6013, 8461, 2735, 1320, 1175, 19705, 1009, 10281, 79, 3933, 1044, 11747, 1686, 2274, 1005, 7887, 21558, 1048, 10968, 8394, 23558, 1778, 1060, 7472, 5154, 1009, 1235, 25803, 20, 1655, 10, 1487, 1175, 1487, 11921, 2735, 1320, 1175, 7391, 1009, 8461, 1048, 19227, 1006, 10281, 4869, 20, 1257, 9884, 8904, 1175, 21897, 1009, 10281, 79, 3933, 1044, 5399, 25711, 1005, 1651, 1906, 20, 1257, 10723, 1128, 1034, 1570, 1129, 1175, 2858, 4575, 1614, 1165, 6853, 1048, 1160, 7464, 1009, 10281, 4869, 1005, 18310, 1048, 1264, 2374, 1094, 6640, 1915, 17663, 1655, 10, 6398, 10396, 4942, 8628, 27685, 1175, 2858, 7744, 2405, 1009, 24642, 1005, 1094, 8262, 1365, 8461, 2735, 1320, 1005, 1006, 8746, 21845, 19381, 20, 1257, 11736, 21845, 19381, 1175, 2858, 8746, 1048, 7932, 1006, 4556, 1322, 10281, 4869, 1005, 9047, 15521, 8461, 2735, 1320, 1322, 1006, 7472, 5154, 1009, 1235, 25803, 20, 1257, 1257, 1482, 4732, 1009, 8895, 3068, 5576, 1009, 10872, 4548, 2088, 6863, 1048, 1299, 1298, 11146, 8316, 32, 1257, 36, 29388, 32, 4954, 1046, 4869, 32, 1138, 8840, 3801, 8, 1325, 1288, 1006, 4783, 1009, 26385, 1005, 3286, 22475, 2652, 13795, 1787, 1058, 3530, 14236, 2643, 1094, 3596, 9183, 1072, 3099, 3633, 1005, 1058, 1857, 1058, 1155, 4888, 1043, 1456, 9200, 1009, 6573, 20, 1257, 4004, 8450, 30870, 32, 1138, 2403, 6178, 4597, 1159, 9678, 1044, 2999, 14208, 1054, 7002, 16603, 1921, 2255, 14523, 2212, 22315, 1005, 3286, 22475, 10793, 2034, 1851, 1013, 1371, 1009 ]

[ 8298, 8341, 4789, 1035, 1130, 1678, 31384, 1273, 10544, 12536, 2170, 1118, 1048, 11281, 3447, 25075, 1063, 17389, 18728, 1094, 7472, 5099, 1679, 1456, 26904, 7, 16584, 27226, 5172, 2088, 15965, 1005, 1569, 22039, 1068, 4531, 1006, 1224, 3513, 1043, 20784, 1620, 1184, 7296, 7, 5640, 15965, 1693, 1178, 13479, 1068, 10919, 1050, 12802, 1159, 18057, 10350, 1392, 1206, 27426, 15609, 1005, 1495, 1592, 1011, 11842, 1206, 8129, 3703, 1184, 3944, 1554, 3423, 2668, 2088, 5473, 31714, 17001, 1318, 1693, 10760, 1068, 1094, 1853, 1009, 19619, 1112, 1005, 25006, 1060, 17389, 675, 1898, 2036, 23441, 1049, 12896, 1048, 1058, 2155, 4373, 1870, 1006, 7461, 1049, 2349, 1120, 1014, 5838, 2349, 1120, 1348, 15, 1096, 7007, 5780, 1068, 19111, 7522, 2130, 1049, 12791, 1005, 14989, 1051, 1024, 1006, 4373, 2154, 3748, 1043, 1048, 1006, 2921, 2373, 1074, 86, 1336, 626, 1005, 8913, 1992, 1006, 4701, 1009, 19430, 1016, 6660, 1114, 13632, 76, 1126, 1026, 1048, 20998, 1026, 1881, 31998, 1114, 3907, 1060, 1009, 19619, 1112, 6383, 4348, 1016, 1009, 23164, 1009, 1238, 8876, 2137, 11250, 1308, 2267, 1989, 3447, 1939, 19196, 16547, 2220, 1026, 1238, 1060, 24650, 1566, 8522, 1005, 15999, 1569, 6847, 1118, 1493, 1184, 1557, 17270, 3134, 1006, 4008, 1009, 16547, 1026, 21217, 1049, 1050, 5489, 1992, 1048, 1006, 24650, 1096, 8522, 20, 1138, 2490, 1060, 17020, 1298, 24181, 1094, 2373, 22915, 12079, 626, 1009, 9417, 3229, 1213, 1050, 5489, 3748, 5193, 9643, 1680, 1184, 3021, 4302, 2512, 1072, 3129, 1009, 5674, 1024, 1026, 1050, 5489, 3592, 3762, 4369, 9440, 1065, 9784, 1327, 1094, 7472, 4786, 1114, 18856, 1068, 4379, 1048, 1026, 12896, 17718, 1131, 1206, 1090, 1007, 2934, 1118, 2612, 1060, 21205, 1060, 24166, 1149, 1072, 2386, 1571, 18295, 9806, 1018, 15965, 18413, 1184, 1068, 1006, 4783, 1009, 2373, 1051, 1546, 3544, 626, 1049, 1048, 19695, 2445, 1962, 1058, 18185, 1026, 12896, 20, 1764, 22828, 1068, 12975, 1124, 12623, 14647, 2012, 1009, 1752, 1908, 1571, 1596, 1132, 20784, 1596, 2817, 7425, 27780, 1178, 1044, 2574, 1429, 1229, 1309, 6054, 1006, 19478, 7, 19648, 23178, 1124, 24621, 1009, 8129, 1188, 2106, 1048, 4343, 1187, 1184, 8426, 1679, 1184, 3944, 1554, 11203, 1841, 1327, 1184, 1049, 1048, 7979, 1068, 6631, 1006, 24650, 1043, 3227, 1005, 7232, 1019, 7253, 6508, 1157, 1006, 17389, 5613, 18057, 1327, 24763, 1068, 21367, 1026, 12896, 1043, 3227, 1068, 3473, 18915, 2374, 1094, 6392, 1206, 1094, 5099, 20, 2034, 10350, 1392, 1327, 3460, 10204, 2340, 21623, 1068, 5674, 1024, 1005, 15999, 1026, 12896, 11207, 31714, 6176, 8935, 1068, 4379, 18, 1511, 1026, 12896, 1234, 25067, 1048, 1086, 7516, 18627, 2707, 1040, 1005, 20505, 1040, 1006, 2604, 5017, 1009, 7975, 1054, 3473, 9209, 14617, 2247, 1009, 4379, 1048, 1132, 18627, 1253, 1010, 1359, 1202, 1357, 13632, 76, 1126, 20505, 1157, 5291, 11207, 3284, 1195, 19035, 1118, 6120, 1187, 1205, 12802, 1044, 4346, 1009, 8300, 1009, 1050, 12802, 1072, 1428, 1299, 6706, 2931, 1532, 20784, 1043, 1261, 1035, 1020, 22785, 1391, 1009, 6828, 12042, 162, 12865, 1213, 5211, 1049, 1784, 7, 3008, 150, 1054, 2573, 1962, 14549, 32, 20499, 1147, 10650, 1009, 2153, 1020, 1699, 16314, 9940, 7, 4438, 10312, 1195, 6619, 8523, 1592, 2998, 2013, 1493, 5905, 2989, 85, 4305, 1132, 5410, 1054, 2573, 1005, 1622, 24494, 1043, 21591, 6914, 18411, 13771, 1699, 1009, 19114, 1096, 15673, 1009, 1094, 3513, 1005, 2539, 7337, 1068, 5115, 1094, 1322, 83, 2029, 25727, 1068, 1178, 2492, 1236, 1072, 1944, 3536, 1049, 16677, 1054, 2573, 1962, 14549, 1533, 4840, 1009, 1663, 1044, 8101, 2301, 1094, 1871, 1009, 19303, 4431, 1005, 1770, 4882, 1009, 13771, 1699, 1058, 1976, 3022, 2127, 2745, 1213, 1235, 5203, 1005, 1213, 3756, 1009, 26646, 1054, 14688, 3812, 11761, 1699, 1096, 1044, 13465, 3707, 1114, 7975, 1187, 3302, 14127, 1054, 2357, 1963, 77, 2270, 4115, 1989, 1720, 2246, 3904, 1009, 1150, 1363, 1035, 1130, 8, 1048, 2572, 3754, 3548, 1206, 2696, 2586, 1048, 1516, 1026, 4577, 3778, 1068, 28478, 1024, 1006, 15487, 3276, 1206, 1026, 26888, 1571, 1058, 3510, 1393, 1026, 1244, 3392, 1667, 26194, 1927, 1132, 12838, 1009, 1094, 13771, 1699, 1327, 3073, 4570, 1005, 1096, 1493, 3707, 13825, 1157, 1160, 1096, 3778, 1044, 3872, 10595, 1778, 15, 1048, 4444, 1322, 9010, 1054, 14688, 1043, 5281, 2625, 12190, 1271, 23757, 13118, 4424, 1327, 2492, 1580, 1159, 3583, 1206, 16293, 15469, 4089, 1312, 1009, 1963, 1140, 1206, 16194, 3590, 3198, 1157, 1132, 25730, 7639, 1009, 6079, 1160, 3347, 1208, 1058, 2808, 1006, 6723, 13771, 1699, 1068, 5149, 1044, 3759, 159, 1206, 1094, 1025, 1079, 5478, 18, 1118, 3018, 1009, 1963, 16082, 24508, 1069, 1206, 1009, 17738, 1159, 15808, 1021, 80, 3352, 1005, 1345, 1193, 88, 24007, 8144, 2712, 1010, 1005, 1030, 1997, 1016, 1365, 1285, 1166, 1009, 14688, 1043, 13396, 1009, 1025, 1079, 5478, 1318, 15691, 8723, 1989, 22547, 1776, 2268, 1998, 3775, 13771, 11392, 1058, 28677, 1044, 5203, 3437, 6567, 3915, 7943, 1009, 1043, 1580, 6118, 1016, 1005, 14660, 1102, 1159, 1124, 4374, 1398, 1014, 2401, 1005, 7232, 1065, 1262, 1219, 15047, 1495, 9027, 1294, 16970, 1166, 1159, 3584, 11035, 1034, 1005, 1073, 1027, 1009, 24928, 27987, 1054, 1048, 1837, 1094, 2236, 12046, 1006, 3530, 16545, 1124, 13771, 11392, 8619, 1141, 5084, 1114, 3305, 88, 22247, 3782, 1096, 3822, 3707, 1294, 3825, 15445, 1005, 1294, 2138, 2365, 1071, 1595, 1493, 1054, 3047, 4516, 1565, 3735, 1058, 12604, 1463, 15449, 1837, 3305, 88, 11392, 5856, 1043, 7823, 1138, 3124, 1009, 1132, 1244, 3392, 1010, 4207, 3510, 1166, 1054, 1457, 3273, 3179, 1927, 7491, 5006, 8561, 4022, 1187, 1048, 1475, 10353, 2013, 1592, 15185, 1009, 1419, 1005, 22670, 1478, 1100, 1054, 14617, 8769, 1060, 3907, 1049, 11391, 7550, 2122, 8596, 1096, 27552, 1026, 13490, 29550, 1096, 1044, 1023, 1075, 1020, 1009, 12623, 1206, 1094, 2383, 1196, 1044, 2574, 1374, 7830, 10948, 1852, 1060, 3970, 5602, 9133, 12265, 1318, 1068, 14852, 1132, 1048, 6510, 14308, 1043, 2574, 13040, 1206, 1305, 12543, 2184, 75, 3812, 11761, 1699, 1009, 14699, 8655, 1030, 3637, 89, 1005, 1317, 159, 1077, 1016, 8682, 2704, 8861, 1016, 1009, 29906, 8101, 17884, 8682, 17721, 1009, 19114, 1054, 10907, 12334, 1298, 1178, 5956, 1399, 1065, 1069, 1308, 4332, 8861, 1016, 1009, 19114, 2191, 9441, 1385, 6958, 12837, 21100, 16906, 2363, 11781, 2234, 25061, 1006, 29906, 8101, 1114, 3111, 1043, 1006, 26608, 1495, 3659, 9938, 1007, 28174, 1009, 1101, 4686, 1114, 21721, 1009, 6690, 1565, 4983, 10440, 1005, 1745, 1336, 1006, 24156, 2152, 1167, 1006, 29906, 2054, 2812, 1140, 1005, 1664, 1132, 4810, 12838, 1213, 22161, 1009, 6648, 1495, 1048, 1058, 1650, 1040, 1094, 6823, 1859, 26029, 71, 1005, 1064, 4719, 4355, 1618, 1026, 4249, 1005, 1124, 19728, 1009, 1094, 1871, 1009, 19303, 4431, 3596, 1043, 3129, 2403, 2904, 7260, 1295, 1006, 10587, 1009, 6823, 1049, 4249, 1060, 1871, 1090, 5986, 5291, 1680, 1463, 19728, 1005, 1294, 2832, 1554, 1062, 15294, 1043, 1184, 1094, 10587, 1009, 3129, 2403, 1005, 1155, 2571, 6255, 1006, 4506, 1377, 1603, 1234, 1760, 1100, 16223, 20572, 1009, 23340, 6966, 1322, 1026, 2403, 1005, 7743, 1233, 30143, 1118, 8486, 3907, 22566, 3005, 12734, 1301, 1108, 1026, 2712, 1667, 1482, 4702, 1044, 75, 1131, 1231, 1026, 1033, 1301, 1362, 1043, 1026, 5266, 1017, 6843, 1095, 1336, 1132, 17791, 1121, 1005, 1026, 2403, 16320, 1005, 7181, 1094, 2750, 10587, 1060, 13771, 1699, 1043, 1026, 19303, 1044, 1171, 1087, 4457, 1063, 1364, 1133, 1680, 1068, 1048, 10801, 1043, 1094, 7202, 1064, 4719, 2875, 2104, 21721, 1054, 12957, 3752, 1461, 2549, 10837, 1026, 19114, 1005, 1679, 6734, 6230, 1091, 1026, 16060, 1009, 10410, 1068, 1663, 1094, 6823, 1009, 13970, 4097, 20, 10850, 7573, 1006, 5994, 10587, 1090, 5986, 1006, 13970, 4097, 1322, 1026, 19303, 2411, 1375, 4457, 13492, 1006, 7202, 1026, 1184, 1064, 4719, 1048, 18689, 3590, 5712, 12734, 17501, 1044, 2574, 1005, 7275, 1208, 1006, 1871, 1043, 2403, 16320, 13827, 1051, 9224, 1005, 7245, 1054, 9901, 1242, 17036, 1068, 9126, 1054, 1118, 1161, 10010, 12448, 6897, 1004, 3589, 16267, 1005, 20385, 1322, 1989, 8101, 1898, 5552, 6823, 4661, 1068, 1944, 10587, 1298, 1178, 3778, 2311, 1014, 1191, 1009, 4853, 1077, 1053, 1206, 6414, 6700, 1054, 2269, 1060, 21946, 1009, 1317, 159, 1077, 1377, 1138, 10278, 10857, 1044, 21854, 1309, 1006, 13396, 2374, 1006, 31161, 18192, 2276, 13886, 1049, 1881, 31998, 1009, 1752, 1044, 1663, 2122, 7160, 1704, 19303, 1009, 19114, 1976, 2593, 9061, 1068, 1178, 12734, 11103, 1069, 16037, 1049, 9735, 2947, 1184, 4417, 1009, 12734, 11103, 3144, 9528, 1058, 6678, 4018, 1126, 3192, 18158, 1009, 1663, 1043, 1026, 19303, 8837, 4578, 1044, 1171, 5294, 1026, 19303, 1298, 1178, 3778, 1044, 12896, 6609, 3151, 1206, 1049, 31225, 1044, 5266, 1017, 1009, 20433, 2663, 3384, 1013, 2363, 15, 1206, 1592, 6004, 1513, 27422, 13287, 1043, 3742, 1053, 4391, 1068, 1160, 3659, 1044, 7482, 1493, 20674, 2408, 6788, 5692, 1870, 1268, 76, 3575, 1026, 19303, 1072, 2019, 1279, 2652, 2605, 1160, 7009, 1118, 1184, 1049, 1048, 1094, 3907, 4578, 16313, 19367, 24697, 3342, 1159, 5224, 1009, 2649, 3382, 7914, 1094, 25694, 1744, 18392, 1305, 25225, 1005, 5443, 9335, 1006, 1752, 7245, 6788, 7893, 4492, 29155, 1589, 1043, 1044, 1023, 1075, 1020, 1009, 12623, 1011, 1389, 9428, 1159, 1124, 25446, 32, 3396, 1590, 1229, 12180, 1170, 1206, 1025, 1130, 5386, 1010, 18411, 1322, 83, 2029, 1160, 1096, 1011, 7518, 8635, 1972, 3524, 2122, 13396, 18, 5486, 1013, 1043, 1064, 2812, 1016, 1009, 1317, 159, 1077, 1016, 4481, 3569, 1005, 13040, 1009, 24412, 1041, 1243, 23190, 5579, 1096, 2047, 5792, 6892, 1043, 1044, 16194, 1009, 1064, 168, 1009, 1317, 159, 1077, 1273, 2247, 1060, 1086, 1731, 1034, 1206, 1023, 1075, 1020, 1009, 12623, 18411, 13771, 1699, 1298, 1005, 1976, 1178, 20891, 1009, 1044, 2631, 12896, 1049, 1118, 6302, 1766, 21481, 1018, 1009, 10278, 1005, 13396, 89, 1327, 19054, 2445, 6135, 8507, 71, 1060, 1944, 10587, 32, 1160, 16223, 13040, 1005, 2208, 1295, 1026, 19114, 1118, 16906, 2363, 1054, 10907, 6135, 6074, 10587, 1175, 7181, 1094, 6937, 1009, 12623, 1043, 20433, 1068, 1044, 1171, 5294, 1026, 2712, 1100, 1048, 1298, 1178, 15359, 1043, 3533, 156, 1526, 1054, 1472, 1009, 13040, 6492, 1063, 6823, 1060, 1944, 10587, 10968, 1006, 2921, 6135, 1776, 19303, 1160, 2155, 2123, 4541, 4564, 3111, 24040, 6633, 8017, 1044, 5266, 1017, 1048, 1160, 3241, 12543, 2184, 75, 6135, 30495, 4097, 1175, 7914, 4564, 1026, 19114, 2549, 1829, 2647, 1068, 2997, 8575, 1298, 2071, 1449, 1645, 1342, 23891, 1206, 16060, 1009, 10410, 1009, 26015, 2098, 1074, 1452, 1009, 2822, 1009, 1901, 5776, 1075, 1020, 1308, 4801, 5140, 1043, 1026, 10063, 4678, 1049, 15895, 8998, 76, 11705, 13965, 28598, 15040, 1006, 10312, 23227, 1323, 1935, 2433, 1184, 5669, 1780, 1006, 3536, 1049, 15895, 8998, 76, 1005, 15698, 1866, 85, 1132, 7033, 1229, 3179, 1957, 1498, 9490, 24312, 1068, 7958, 2875, 1036, 13216, 1503, 1160, 11830, 1114, 18916, 1309, 1294, 4810, 2204, 1089, 1048, 1160, 5756, 7881, 1050, 1774, 1046, 1021, 2669, 16318, 1187, 2125, 18608, 2502, 1049, 2868, 1054, 8989, 1664, 1132, 3195, 1187, 21361, 1544, 6033, 3757, 20247, 1049, 2710, 77, 1091, 1169, 4189, 1517, 1677, 18, 6718, 1118, 1008, 2537, 1126, 1449, 1645, 3097, 3957, 1009, 7994, 16188, 6769, 1005, 24358, 1814, 1009, 5918, 1279, 5489, 9361, 1009, 21913, 1005, 3444, 1009, 29826, 18, 1305, 7800, 1870, 1096, 11418, 1049, 16970, 1599, 2289, 2257, 1006, 2519, 1009, 1044, 1187, 2125, 7550, 1160, 1327, 7355, 2106, 8769, 1049, 4168, 1005, 1060, 4188, 14112, 1049, 21528, 1006, 4087, 11217, 1049, 15660, 1519, 1213, 1009, 5155, 6633, 5139, 3754, 1049, 10650, 15120, 7503, 1022, 1021, 1159, 13333, 1009, 1044, 1143, 1085, 9798, 3084, 37, 1084, 1049, 7850, 3407, 1005, 1060, 19082, 77, 1526, 11267, 1060, 24067, 9158, 1632, 3728, 1868, 1010, 8933, 1847, 1413, 83, 1140, 1009, 5938, 9886, 1004, 3556, 8, 1206, 1058, 11430, 1213, 10650, 8739, 1019, 2318, 13493, 1159, 1150, 28746, 18043, 19501, 3900, 1817, 12500, 1009, 23227, 8667, 1079, 1044, 2410, 10971, 1020, 1253, 1064, 2812, 1599, 2054, 1052, 1136, 1159, 20559, 1063, 5274, 1049, 1080, 5526, 1233, 31392, 29765, 1044, 7245, 1009, 1427, 158, 1025, 1560, 1081, 1005, 1132, 18608, 2502, 1005, 2203, 1544, 1060, 5274, 6011, 1048, 14919, 22446, 1787, 1026, 21361, 1348, 1868, 3655, 2356, 18, 7568, 6063, 1026, 13490, 1049, 2568, 3778, 1068, 1048, 1006, 9373, 1695, 2934, 1495, 1026, 10776, 20, 18809, 23180, 1072, 14489, 20, 5126, 1495, 15752, 1043, 1026, 1048, 1058, 1298, 7726, 1009, 1150, 1353, 1466, 1544, 1060, 4214, 8, 3057, 2535, 4908, 2268, 1160, 2569, 3687, 14280, 1068, 1687, 1005, 7483, 3838, 1068, 1857, 1996, 1049, 11829, 1060, 18971, 20, 7496, 2177, 1048, 8717, 1503, 2306, 12415, 1007 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8298, 8341, 4789, 1035, 1130, 1678, 31384, 1273, 10544, 12536, 2170, 1118, 1048, 11281, 3447, 25075, 1063, 17389, 18728, 1094, 7472, 5099, 1679, 1456, 26904, 7, 16584, 27226, 5172, 2088, 15965, 1005, 1569, 22039, 1068, 4531, 1006, 1224, 3513, 1043, 20784, 1620, 1184, 7296, 7, 5640, 15965, 1693, 1178, 13479, 1068, 10919, 1050, 12802, 1159, 18057, 10350, 1392, 1206, 27426, 15609, 1005, 1495, 1592, 1011, 11842, 1206, 8129, 3703, 1184, 3944, 1554, 3423, 2668, 2088, 5473, 31714, 17001, 1318, 1693, 10760, 1068, 1094, 1853, 1009, 19619, 1112, 1005, 25006, 1060, 17389, 675, 1898, 2036, 23441, 1049, 12896, 1048, 1058, 2155, 4373, 1870, 1006, 7461, 1049, 2349, 1120, 1014, 5838, 2349, 1120, 1348, 15, 1096, 7007, 5780, 1068, 19111, 7522, 2130, 1049, 12791, 1005, 14989, 1051, 1024, 1006, 4373, 2154, 3748, 1043, 1048, 1006, 2921, 2373, 1074, 86, 1336, 626, 1005, 8913, 1992, 1006, 4701, 1009, 19430, 1016, 6660, 1114, 13632, 76, 1126, 1026, 1048, 20998, 1026, 1881, 31998, 1114, 3907, 1060, 1009, 19619, 1112, 6383, 4348, 1016, 1009, 23164, 1009, 1238, 8876, 2137, 11250, 1308, 2267, 1989, 3447, 1939, 19196, 16547, 2220, 1026, 1238, 1060, 24650, 1566, 8522, 1005, 15999, 1569, 6847, 1118, 1493, 1184, 1557, 17270, 3134, 1006, 4008, 1009, 16547, 1026, 21217, 1049, 1050, 5489, 1992, 1048, 1006, 24650, 1096, 8522, 20, 1138, 2490, 1060, 17020, 1298, 24181, 1094, 2373, 22915, 12079, 626, 1009, 9417, 3229, 1213, 1050, 5489, 3748, 5193, 9643, 1680, 1184, 3021, 4302, 2512, 1072, 3129, 1009, 5674, 1024, 1026, 1050, 5489, 3592, 3762, 4369, 9440, 1065, 9784, 1327, 1094, 7472, 4786, 1114, 18856, 1068, 4379, 1048, 1026, 12896, 17718, 1131, 1206, 1090, 1007, 2934, 1118, 2612, 1060, 21205, 1060, 24166, 1149, 1072, 2386, 1571, 18295, 9806, 1018, 15965, 18413, 1184, 1068, 1006, 4783, 1009, 2373, 1051, 1546, 3544, 626, 1049, 1048, 19695, 2445, 1962, 1058, 18185, 1026, 12896, 20, 1764, 22828, 1068, 12975, 1124, 12623, 14647, 2012, 1009, 1752, 1908, 1571, 1596, 1132, 20784, 1596, 2817, 7425, 27780, 1178, 1044, 2574, 1429, 1229, 1309, 6054, 1006, 19478, 7, 19648, 23178, 1124, 24621, 1009, 8129, 1188, 2106, 1048, 4343, 1187, 1184, 8426, 1679, 1184, 3944, 1554, 11203, 1841, 1327, 1184, 1049, 1048, 7979, 1068, 6631, 1006, 24650, 1043, 3227, 1005, 7232, 1019, 7253, 6508, 1157, 1006, 17389, 5613, 18057, 1327, 24763, 1068, 21367, 1026, 12896, 1043, 3227, 1068, 3473, 18915, 2374, 1094, 6392, 1206, 1094, 5099, 20, 2034, 10350, 1392, 1327, 3460, 10204, 2340, 21623, 1068, 5674, 1024, 1005, 15999, 1026, 12896, 11207, 31714, 6176, 8935, 1068, 4379, 18, 1511, 1026, 12896, 1234, 25067, 1048, 1086, 7516, 18627, 2707, 1040, 1005, 20505, 1040, 1006, 2604, 5017, 1009, 7975, 1054, 3473, 9209, 14617, 2247, 1009, 4379, 1048, 1132, 18627, 1253, 1010, 1359, 1202, 1357, 13632, 76, 1126, 20505, 1157, 5291, 11207, 3284, 1195, 19035, 1118, 6120, 1187, 1205, 12802, 1044, 4346, 1009, 8300, 1009, 1050, 12802, 1072, 1428, 1299, 6706, 2931, 1532, 20784, 1043, 1261, 1035, 1020, 22785, 1391, 1009, 6828, 12042, 162, 12865, 1213, 5211, 1049, 1784, 7, 3008, 150, 1054, 2573, 1962, 14549, 32, 20499, 1147, 10650, 1009, 2153, 1020, 1699, 16314, 9940, 7, 4438, 10312, 1195, 6619, 8523, 1592, 2998, 2013, 1493, 5905, 2989, 85, 4305, 1132, 5410, 1054, 2573, 1005, 1622, 24494, 1043, 21591, 6914, 18411, 13771, 1699, 1009, 19114, 1096, 15673, 1009, 1094, 3513, 1005, 2539, 7337, 1068, 5115, 1094, 1322, 83, 2029, 25727, 1068, 1178, 2492, 1236, 1072, 1944, 3536, 1049, 16677, 1054, 2573, 1962, 14549, 1533, 4840, 1009, 1663, 1044, 8101, 2301, 1094, 1871, 1009, 19303, 4431, 1005, 1770, 4882, 1009, 13771, 1699, 1058, 1976, 3022, 2127, 2745, 1213, 1235, 5203, 1005, 1213, 3756, 1009, 26646, 1054, 14688, 3812, 11761, 1699, 1096, 1044, 13465, 3707, 1114, 7975, 1187, 3302, 14127, 1054, 2357, 1963, 77, 2270, 4115, 1989, 1720, 2246, 3904, 1009, 1150, 1363, 1035, 1130, 8, 1048, 2572, 3754, 3548, 1206, 2696, 2586, 1048, 1516, 1026, 4577, 3778, 1068, 28478, 1024, 1006, 15487, 3276, 1206, 1026, 26888, 1571, 1058, 3510, 1393, 1026, 1244, 3392, 1667, 26194, 1927, 1132, 12838, 1009, 1094, 13771, 1699, 1327, 3073, 4570, 1005, 1096, 1493, 3707, 13825, 1157, 1160, 1096, 3778, 1044, 3872, 10595, 1778, 15, 1048, 4444, 1322, 9010, 1054, 14688, 1043, 5281, 2625, 12190, 1271, 23757, 13118, 4424, 1327, 2492, 1580, 1159, 3583, 1206, 16293, 15469, 4089, 1312, 1009, 1963, 1140, 1206, 16194, 3590, 3198, 1157, 1132, 25730, 7639, 1009, 6079, 1160, 3347, 1208, 1058, 2808, 1006, 6723, 13771, 1699, 1068, 5149, 1044, 3759, 159, 1206, 1094, 1025, 1079, 5478, 18, 1118, 3018, 1009, 1963, 16082, 24508, 1069, 1206, 1009, 17738, 1159, 15808, 1021, 80, 3352, 1005, 1345, 1193, 88, 24007, 8144, 2712, 1010, 1005, 1030, 1997, 1016, 1365, 1285, 1166, 1009, 14688, 1043, 13396, 1009, 1025, 1079, 5478, 1318, 15691, 8723, 1989, 22547, 1776, 2268, 1998, 3775, 13771, 11392, 1058, 28677, 1044, 5203, 3437, 6567, 3915, 7943, 1009, 1043, 1580, 6118, 1016, 1005, 14660, 1102, 1159, 1124, 4374, 1398, 1014, 2401, 1005, 7232, 1065, 1262, 1219, 15047, 1495, 9027, 1294, 16970, 1166, 1159, 3584, 11035, 1034, 1005, 1073, 1027, 1009, 24928, 27987, 1054, 1048, 1837, 1094, 2236, 12046, 1006, 3530, 16545, 1124, 13771, 11392, 8619, 1141, 5084, 1114, 3305, 88, 22247, 3782, 1096, 3822, 3707, 1294, 3825, 15445, 1005, 1294, 2138, 2365, 1071, 1595, 1493, 1054, 3047, 4516, 1565, 3735, 1058, 12604, 1463, 15449, 1837, 3305, 88, 11392, 5856, 1043, 7823, 1138, 3124, 1009, 1132, 1244, 3392, 1010, 4207, 3510, 1166, 1054, 1457, 3273, 3179, 1927, 7491, 5006, 8561, 4022, 1187, 1048, 1475, 10353, 2013, 1592, 15185, 1009, 1419, 1005, 22670, 1478, 1100, 1054, 14617, 8769, 1060, 3907, 1049, 11391, 7550, 2122, 8596, 1096, 27552, 1026, 13490, 29550, 1096, 1044, 1023, 1075, 1020, 1009, 12623, 1206, 1094, 2383, 1196, 1044, 2574, 1374, 7830, 10948, 1852, 1060, 3970, 5602, 9133, 12265, 1318, 1068, 14852, 1132, 1048, 6510, 14308, 1043, 2574, 13040, 1206, 1305, 12543, 2184, 75, 3812, 11761, 1699, 1009, 14699, 8655, 1030, 3637, 89, 1005, 1317, 159, 1077, 1016, 8682, 2704, 8861, 1016, 1009, 29906, 8101, 17884, 8682, 17721, 1009, 19114, 1054, 10907, 12334, 1298, 1178, 5956, 1399, 1065, 1069, 1308, 4332, 8861, 1016, 1009, 19114, 2191, 9441, 1385, 6958, 12837, 21100, 16906, 2363, 11781, 2234, 25061, 1006, 29906, 8101, 1114, 3111, 1043, 1006, 26608, 1495, 3659, 9938, 1007, 28174, 1009, 1101, 4686, 1114, 21721, 1009, 6690, 1565, 4983, 10440, 1005, 1745, 1336, 1006, 24156, 2152, 1167, 1006, 29906, 2054, 2812, 1140, 1005, 1664, 1132, 4810, 12838, 1213, 22161, 1009, 6648, 1495, 1048, 1058, 1650, 1040, 1094, 6823, 1859, 26029, 71, 1005, 1064, 4719, 4355, 1618, 1026, 4249, 1005, 1124, 19728, 1009, 1094, 1871, 1009, 19303, 4431, 3596, 1043, 3129, 2403, 2904, 7260, 1295, 1006, 10587, 1009, 6823, 1049, 4249, 1060, 1871, 1090, 5986, 5291, 1680, 1463, 19728, 1005, 1294, 2832, 1554, 1062, 15294, 1043, 1184, 1094, 10587, 1009, 3129, 2403, 1005, 1155, 2571, 6255, 1006, 4506, 1377, 1603, 1234, 1760, 1100, 16223, 20572, 1009, 23340, 6966, 1322, 1026, 2403, 1005, 7743, 1233, 30143, 1118, 8486, 3907, 22566, 3005, 12734, 1301, 1108, 1026, 2712, 1667, 1482, 4702, 1044, 75, 1131, 1231, 1026, 1033, 1301, 1362, 1043, 1026, 5266, 1017, 6843, 1095, 1336, 1132, 17791, 1121, 1005, 1026, 2403, 16320, 1005, 7181, 1094, 2750, 10587, 1060, 13771, 1699, 1043, 1026, 19303, 1044, 1171, 1087, 4457, 1063, 1364, 1133, 1680, 1068, 1048, 10801, 1043, 1094, 7202, 1064, 4719, 2875, 2104, 21721, 1054, 12957, 3752, 1461, 2549, 10837, 1026, 19114, 1005, 1679, 6734, 6230, 1091, 1026, 16060, 1009, 10410, 1068, 1663, 1094, 6823, 1009, 13970, 4097, 20, 10850, 7573, 1006, 5994, 10587, 1090, 5986, 1006, 13970, 4097, 1322, 1026, 19303, 2411, 1375, 4457, 13492, 1006, 7202, 1026, 1184, 1064, 4719, 1048, 18689, 3590, 5712, 12734, 17501, 1044, 2574, 1005, 7275, 1208, 1006, 1871, 1043, 2403, 16320, 13827, 1051, 9224, 1005, 7245, 1054, 9901, 1242, 17036, 1068, 9126, 1054, 1118, 1161, 10010, 12448, 6897, 1004, 3589, 16267, 1005, 20385, 1322, 1989, 8101, 1898, 5552, 6823, 4661, 1068, 1944, 10587, 1298, 1178, 3778, 2311, 1014, 1191, 1009, 4853, 1077, 1053, 1206, 6414, 6700, 1054, 2269, 1060, 21946, 1009, 1317, 159, 1077, 1377, 1138, 10278, 10857, 1044, 21854, 1309, 1006, 13396, 2374, 1006, 31161, 18192, 2276, 13886, 1049, 1881, 31998, 1009, 1752, 1044, 1663, 2122, 7160, 1704, 19303, 1009, 19114, 1976, 2593, 9061, 1068, 1178, 12734, 11103, 1069, 16037, 1049, 9735, 2947, 1184, 4417, 1009, 12734, 11103, 3144, 9528, 1058, 6678, 4018, 1126, 3192, 18158, 1009, 1663, 1043, 1026, 19303, 8837, 4578, 1044, 1171, 5294, 1026, 19303, 1298, 1178, 3778, 1044, 12896, 6609, 3151, 1206, 1049, 31225, 1044, 5266, 1017, 1009, 20433, 2663, 3384, 1013, 2363, 15, 1206, 1592, 6004, 1513, 27422, 13287, 1043, 3742, 1053, 4391, 1068, 1160, 3659, 1044, 7482, 1493, 20674, 2408, 6788, 5692, 1870, 1268, 76, 3575, 1026, 19303, 1072, 2019, 1279, 2652, 2605, 1160, 7009, 1118, 1184, 1049, 1048, 1094, 3907, 4578, 16313, 19367, 24697, 3342, 1159, 5224, 1009, 2649, 3382, 7914, 1094, 25694, 1744, 18392, 1305, 25225, 1005, 5443, 9335, 1006, 1752, 7245, 6788, 7893, 4492, 29155, 1589, 1043, 1044, 1023, 1075, 1020, 1009, 12623, 1011, 1389, 9428, 1159, 1124, 25446, 32, 3396, 1590, 1229, 12180, 1170, 1206, 1025, 1130, 5386, 1010, 18411, 1322, 83, 2029, 1160, 1096, 1011, 7518, 8635, 1972, 3524, 2122, 13396, 18, 5486, 1013, 1043, 1064, 2812, 1016, 1009, 1317, 159, 1077, 1016, 4481, 3569, 1005, 13040, 1009, 24412, 1041, 1243, 23190, 5579, 1096, 2047, 5792, 6892, 1043, 1044, 16194, 1009, 1064, 168, 1009, 1317, 159, 1077, 1273, 2247, 1060, 1086, 1731, 1034, 1206, 1023, 1075, 1020, 1009, 12623, 18411, 13771, 1699, 1298, 1005, 1976, 1178, 20891, 1009, 1044, 2631, 12896, 1049, 1118, 6302, 1766, 21481, 1018, 1009, 10278, 1005, 13396, 89, 1327, 19054, 2445, 6135, 8507, 71, 1060, 1944, 10587, 32, 1160, 16223, 13040, 1005, 2208, 1295, 1026, 19114, 1118, 16906, 2363, 1054, 10907, 6135, 6074, 10587, 1175, 7181, 1094, 6937, 1009, 12623, 1043, 20433, 1068, 1044, 1171, 5294, 1026, 2712, 1100, 1048, 1298, 1178, 15359, 1043, 3533, 156, 1526, 1054, 1472, 1009, 13040, 6492, 1063, 6823, 1060, 1944, 10587, 10968, 1006, 2921, 6135, 1776, 19303, 1160, 2155, 2123, 4541, 4564, 3111, 24040, 6633, 8017, 1044, 5266, 1017, 1048, 1160, 3241, 12543, 2184, 75, 6135, 30495, 4097, 1175, 7914, 4564, 1026, 19114, 2549, 1829, 2647, 1068, 2997, 8575, 1298, 2071, 1449, 1645, 1342, 23891, 1206, 16060, 1009, 10410, 1009, 26015, 2098, 1074, 1452, 1009, 2822, 1009, 1901, 5776, 1075, 1020, 1308, 4801, 5140, 1043, 1026, 10063, 4678, 1049, 15895, 8998, 76, 11705, 13965, 28598, 15040, 1006, 10312, 23227, 1323, 1935, 2433, 1184, 5669, 1780, 1006, 3536, 1049, 15895, 8998, 76, 1005, 15698, 1866, 85, 1132, 7033, 1229, 3179, 1957, 1498, 9490, 24312, 1068, 7958, 2875, 1036, 13216, 1503, 1160, 11830, 1114, 18916, 1309, 1294, 4810, 2204, 1089, 1048, 1160, 5756, 7881, 1050, 1774, 1046, 1021, 2669, 16318, 1187, 2125, 18608, 2502, 1049, 2868, 1054, 8989, 1664, 1132, 3195, 1187, 21361, 1544, 6033, 3757, 20247, 1049, 2710, 77, 1091, 1169, 4189, 1517, 1677, 18, 6718, 1118, 1008, 2537, 1126, 1449, 1645, 3097, 3957, 1009, 7994, 16188, 6769, 1005, 24358, 1814, 1009, 5918, 1279, 5489, 9361, 1009, 21913, 1005, 3444, 1009, 29826, 18, 1305, 7800, 1870, 1096, 11418, 1049, 16970, 1599, 2289, 2257, 1006, 2519, 1009, 1044, 1187, 2125, 7550, 1160, 1327, 7355, 2106, 8769, 1049, 4168, 1005, 1060, 4188, 14112, 1049, 21528, 1006, 4087, 11217, 1049, 15660, 1519, 1213, 1009, 5155, 6633, 5139, 3754, 1049, 10650, 15120, 7503, 1022, 1021, 1159, 13333, 1009, 1044, 1143, 1085, 9798, 3084, 37, 1084, 1049, 7850, 3407, 1005, 1060, 19082, 77, 1526, 11267, 1060, 24067, 9158, 1632, 3728, 1868, 1010, 8933, 1847, 1413, 83, 1140, 1009, 5938, 9886, 1004, 3556, 8, 1206, 1058, 11430, 1213, 10650, 8739, 1019, 2318, 13493, 1159, 1150, 28746, 18043, 19501, 3900, 1817, 12500, 1009, 23227, 8667, 1079, 1044, 2410, 10971, 1020, 1253, 1064, 2812, 1599, 2054, 1052, 1136, 1159, 20559, 1063, 5274, 1049, 1080, 5526, 1233, 31392, 29765, 1044, 7245, 1009, 1427, 158, 1025, 1560, 1081, 1005, 1132, 18608, 2502, 1005, 2203, 1544, 1060, 5274, 6011, 1048, 14919, 22446, 1787, 1026, 21361, 1348, 1868, 3655, 2356, 18, 7568, 6063, 1026, 13490, 1049, 2568, 3778, 1068, 1048, 1006, 9373, 1695, 2934, 1495, 1026, 10776, 20, 18809, 23180, 1072, 14489, 20, 5126, 1495, 15752, 1043, 1026, 1048, 1058, 1298, 7726, 1009, 1150, 1353, 1466, 1544, 1060, 4214, 8, 3057, 2535, 4908, 2268, 1160, 2569, 3687, 14280, 1068, 1687, 1005, 7483, 3838, 1068, 1857, 1996, 1049, 11829, 1060, 18971, 20, 7496, 2177, 1048, 8717, 1503, 2306, 12415, 1007 ]

[ 20008, 15, 17214, 14538, 18196, 15883, 15, 2976, 6183, 20694, 17466, 15, 5673, 1005, 9818, 8676, 1967, 15, 16274, 1170, 1005, 6543, 1967, 15, 1972, 4736, 5803, 1967, 15, 13471, 1330, 14090, 6009, 1967, 15, 13927, 19, 1088, 1568, 1034, 1967, 15, 24913, 2149, 7375, 25641, 2149, 7362, 15332, 1027, 2149, 7362, 10949, 12874, 2673, 2149, 7224, 16640, 20389, 4756, 2149, 7224, 20229, 2149, 6877, 2345, 5523, 84, 6473, 2149, 6456, 6403, 1095, 1153, 90, 2404, 2149, 6456, 2899, 2404, 5371, 2636, 2149, 6456, 5654, 9760, 7873, 1065, 2149, 6456, 1082, 4136, 2149, 5463, 2858, 12422, 26304, 2149, 4681, 12843, 10924, 2149, 4681, 29337, 19, 1367, 1147, 2149, 4681, 1119, 2431, 2404, 25960, 5549, 1009, 25367, 25960, 28395, 5714, 8433, 25960, 8801, 95, 53, 86, 1071, 11306, 10949, 14002, 1577, 1071, 7362, 29232, 18972, 1087, 12853, 1071, 7362, 1039, 9845, 1071, 7362, 1119, 1230, 4405, 5371, 2636, 1071, 7224, 20671, 11759, 1358, 29844, 7384, 1723, 5196, 1418, 3304, 29844, 1344, 1434, 81, 6482, 1528, 29844, 1144, 1087, 7518, 1241, 1897, 1876, 29844, 1776, 1046, 1574, 1104, 17482, 29844, 31150, 1563, 29844, 7727, 79, 45, 29844, 1067, 1218, 1013, 29844, 2079, 95, 30835, 1523, 3474, 31083, 29844, 3781, 15722, 11150, 29844, 5065, 1227, 1958, 2983, 29844, 25909, 22765, 29844, 1842, 1046, 20897, 27195, 2421, 1337, 3671, 1832, 27195, 1180, 21304, 18798, 3448, 20955, 1180, 177, 6380, 1051, 12842, 1014, 3036, 20955, 4782, 4869, 1067, 76, 1279, 20955, 9504, 3973, 20955, 16860, 17821, 12032, 1418, 20955, 8658, 6403, 1259, 84, 6473, 16589, 2330, 1093, 20955, 12241, 1905, 2899, 2404, 5371, 2636, 20955, 6445, 4517, 3828, 15714, 24274, 1505, 58, 3071, 4414, 15714, 1062, 2060, 10810, 2753, 10499, 15714, 8904, 1119, 1418, 3304, 15714, 15232, 3728, 13430, 1226, 15714, 9504, 4210, 15714, 9504, 4161, 15714, 11735, 2376, 1540, 1304, 15714, 8461, 1067, 3889, 3979, 15714, 5153, 2376, 1540, 1304, 15714, 1603, 2335, 2376, 1540, 1304, 15714, 1067, 1226, 80, 1220, 2079, 4797, 81, 15714, 28273, 26351, 15714, 7204, 15714, 1594, 1331, 1018, 12672, 6182, 1344, 1035, 5378, 12672, 29188, 7409, 12672, 19684, 1876, 12672, 6403, 1095, 1056, 1065, 2404, 12672, 1119, 1414, 1714, 9914, 12672, 1084, 2806, 1119, 23674, 15268, 1237, 3265, 12672, 16725, 1042, 4269, 6844, 12672, 11240, 5100, 1106, 5076, 1081, 12672, 15212, 1056, 12672, 12412, 1252, 1528, 12672, 23565, 91, 5637, 12672, 15232, 3783, 2397, 78, 9565, 12672, 1144, 9603, 2376, 1540, 1304, 12672, 1138, 1041, 8132, 9914, 12672, 9504, 4152, 12672, 9504, 3209, 12672, 9504, 4579, 12672, 1633, 17419, 2376, 1540, 1304, 12672, 1633, 3213, 2376, 1540, 1304, 12672, 1123, 2874, 1020, 11888, 4602, 12672, 28198, 2376, 1540, 1304, 12672, 12382, 95, 21610, 12672, 2079, 4797, 81, 12672, 1006, 12672, 1011, 12672, 1005, 12672, 1086, 12672, 1, 16845, 1134, 1508, 1010, 1005, 1132, 5059, 1444, 1018, 1060, 20798, 8, 3210, 11306, 1096, 1094, 1271, 26807, 1455, 7545, 1121, 1060, 2935, 1049, 6450, 3267, 1072, 5029, 8287, 1886, 1095, 1912, 1221, 1086, 84, 6214, 3617, 1063, 12254, 1096, 1044, 2991, 1009, 14304, 2328, 1049, 18280, 1006, 20898, 5423, 22912, 1096, 22072, 1118, 2191, 1009, 5138, 1086, 84, 6214, 3617, 1776, 10872, 3437, 1990, 1049, 13959, 1159, 1026, 9220, 1034, 80, 1526, 8, 1175, 6185, 1048, 2328, 1049, 30876, 24702, 1399, 1034, 1005, 5440, 16016, 3902, 1044, 4788, 2497, 19087, 1009, 9473, 32, 1006, 5083, 18612, 3029, 3636, 1006, 3902, 1009, 1094, 11295, 12787, 10872, 1213, 1592, 1557, 16074, 6710, 1005, 26476, 15, 1365, 1989, 1784, 1005, 1006, 12051, 12921, 6135, 2034, 2624, 1503, 2449, 1072, 2402, 1009, 20280, 1633, 3165, 1048, 2289, 2697, 1993, 1009, 1094, 1472, 5848, 19, 2800, 37, 1063, 11295, 37, 4271, 79, 5691, 1049, 13959, 3348, 4039, 1072, 13362, 52, 1308, 2814, 1094, 1641, 27002, 18650, 3208, 3050, 1140, 1118, 19542, 14597, 8983, 1044, 5102, 16851, 9741, 1599, 29659, 12261, 1100, 1006, 1712, 1751, 1049, 1557, 1054, 25311, 4475, 1134, 2507, 1435, 1049, 24063, 2825, 74, 4559, 1049, 1541, 77, 1301, 11097, 1026, 15170, 1058, 2232, 16639, 1154, 1072, 1235, 5512, 1571, 1058, 26012, 1043, 1026, 1784, 7809, 1118, 2191, 1060, 15631, 1288, 1026, 7749, 1021, 2576, 1009, 4049, 2459, 1128, 1258, 2356, 1699, 2878, 8, 3812, 1029, 1159, 1114, 2423, 1009, 10255, 21903, 4358, 1264, 1096, 20019, 1357, 24702, 1399, 1034, 1271, 8804, 1049, 9171, 20, 1128, 1893, 17944, 1235, 5822, 1032, 1303, 1043, 1006, 1834, 1118, 2191, 1009, 19049, 7794, 5048, 6112, 1241, 1270, 1009, 17944, 1569, 26984, 1242, 1068, 1006, 1224, 4809, 28678, 1005, 1068, 1132, 13997, 1225, 1124, 6099, 1060, 5353, 1159, 1094, 4169, 2039, 2774, 7655, 1044, 10036, 1351, 1104, 4050, 1006, 5360, 1485, 8659, 4333, 1456, 26933, 1929, 1056, 4707, 1005, 1155, 1843, 13156, 1484, 1694, 1006, 3289, 1009, 1094, 14220, 7092, 1114, 5353, 31602, 1159, 10855, 25435, 1180, 2077, 1108, 1406, 2924, 5231, 1006, 10255, 25026, 1349, 2742, 1428, 1044, 8048, 24814, 1424, 1006, 8685, 1009, 1044, 2792, 24620, 1048, 8089, 1233, 1641, 1986, 1044, 7279, 1837, 1646, 17865, 1006, 6654, 1049, 2403, 5103, 1006, 13786, 88, 1026, 2733, 1876, 22981, 3617, 22770, 73, 13156, 1005, 6386, 11685, 1006, 1058, 28177, 1533, 12237, 2555, 1769, 3449, 23589, 1005, 6717, 77, 1130, 1068, 1006, 11295, 1009, 6102, 1060, 4930, 1026, 5212, 21708, 1040, 4631, 1060, 12254, 32, 2386, 1160, 1998, 1009, 1094, 2700, 1009, 13025, 14505, 1048, 13876, 1072, 9388, 31025, 14304, 8536, 5710, 15568, 1049, 14937, 1876, 1852, 1213, 1428, 1026, 2403, 9606, 4537, 4441, 1134, 1508, 1010, 1005, 1132, 5059, 1444, 1018, 1060, 20798, 16484, 1349, 1026, 1831, 29753, 1009, 29754, 1130, 10499, 4271, 18314, 1009, 20631, 1159, 1026, 8030, 23836, 1060, 6211, 31612, 4382, 1114, 16440, 1153, 626, 1349, 8229, 1072, 7093, 1009, 3147, 1183, 1045, 1062, 2344, 86, 1731, 1071, 625, 51, 8762, 1068, 3735, 1124, 2397, 6238, 1058, 2193, 1165, 1046, 626, 15, 1096, 1184, 1049, 1048, 1044, 8345, 11408, 1291, 14963, 1048, 9047, 1054, 1637, 14686, 1016, 1159, 1124, 1049, 2403, 28937, 2095, 1038, 8831, 8, 1009, 1163, 1093, 7708, 4833, 17117, 2247, 18, 1766, 1134, 1508, 1010, 1715, 1096, 1184, 1044, 2991, 1009, 1159, 1026, 6450, 4955, 1124, 5480, 1009, 17314, 1060, 20898, 5423, 22912, 1118, 2191, 1009, 11588, 1347, 5138, 1025, 12851, 1060, 8928, 1049, 1086, 84, 1401, 1031, 9144, 3316, 8928, 1048, 21600, 1497, 7136, 1005, 18679, 14653, 1124, 16558, 5746, 2984, 1758, 1187, 3974, 1086, 84, 6214, 1391, 1213, 2729, 1060, 2042, 3590, 1095, 1095, 1070, 1400, 8836, 80, 1708, 1005, 24520, 1689, 3528, 18879, 7767, 1071, 13489, 14562, 4331, 15, 23808, 2315, 1048, 1132, 5138, 1033, 1690, 83, 1391, 1049, 6450, 28324, 10369, 1058, 31807, 1054, 6019, 1927, 1009, 2125, 4267, 1009, 25757, 1886, 1095, 1912, 1391, 32, 1026, 13125, 1095, 13448, 1026, 8836, 80, 1526, 1005, 1026, 24520, 9596, 3316, 5223, 10271, 3530, 2125, 5138, 32, 22777, 2453, 1009, 1044, 11108, 1800, 10233, 7117, 14654, 2453, 1049, 1235, 3266, 6402, 1044, 3010, 2593, 1048, 1200, 15134, 71, 2693, 1006, 3513, 8606, 1159, 1094, 11553, 5223, 1009, 9741, 3784, 1009, 1160, 1663, 1751, 1009, 1094, 3225, 2485, 4018, 1032, 1236, 1159, 1359, 2431, 86, 1236, 1005, 1098, 11806, 9708, 1145, 1704, 13959, 14963, 1009, 1766, 1134, 1508, 1010, 1715, 626, 1096, 1026, 1886, 1575, 2086, 1049, 8836, 80, 4289, 7329, 20898, 5423, 1096, 13538, 1356, 30876, 24702, 1399, 1034, 1005, 22171, 1667, 2200, 1160, 1365, 1054, 13605, 1206, 17134, 3746, 2016, 1657, 20362, 2289, 1054, 1044, 2497, 1009, 12849, 12736, 1026, 2381, 1348, 1086, 84, 6214, 1221, 6425, 1061, 26169, 15044, 1086, 84, 6214, 1221, 1049, 2738, 1060, 1516, 4865, 6861, 2512, 2497, 19087, 1009, 9473, 4310, 1009, 1663, 1026, 11091, 6931, 1006, 12849, 1009, 2220, 1026, 22491, 1026, 8167, 11411, 1060, 5141, 6495, 25074, 6021, 1058, 6931, 1006, 12051, 1005, 3219, 1479, 1006, 1086, 84, 6473, 3377, 21876, 5440, 16016, 1005, 13579, 1327, 28139, 1016, 1166, 2691, 1569, 1455, 7545, 1121, 1357, 6211, 1071, 625, 48, 2560, 4324, 1072, 5239, 1064, 24100, 1221, 1565, 1138, 2666, 1381, 1026, 13959, 2837, 1094, 1957, 96, 2801, 1365, 10759, 1005, 17265, 8264, 1026, 18154, 2497, 1009, 17073, 1627, 1054, 6019, 1060, 1428, 11213, 2693, 1006, 3513, 3909, 1223, 1732, 1145, 1048, 1026, 2403, 2572, 2837, 1068, 1026, 7660, 20716, 1044, 17597, 3378, 8954, 11271, 1357, 12337, 1048, 2572, 12742, 13396, 89, 1005, 5480, 4007, 1580, 1043, 4805, 22936, 1321, 5121, 5281, 3074, 3569, 1005, 1006, 3596, 8859, 1009, 4601, 1159, 1006, 1187, 16448, 1111, 5282, 1048, 4551, 1046, 1006, 1357, 1155, 1589, 1009, 1180, 25435, 1180, 2077, 1108, 1206, 1132, 3044, 6039, 2602, 1030, 1956, 1018, 1187, 1456, 10826, 2173, 1010, 1213, 29381, 1288, 1006, 3357, 1049, 19918, 1114, 11295, 3482, 7393, 1006, 11295, 1009, 30364, 1026, 1807, 14937, 1876, 1048, 29642, 1026, 13959, 1026, 8836, 80, 1526, 4666, 20053, 1338, 1024, 1072, 2191, 1060, 11295, 1071, 22279, 24756, 1072, 2403, 15, 1096, 1026, 2497, 1009, 12849, 20, 1551, 9215, 2653, 1049, 9388, 31025, 1963, 21399, 1068, 1006, 19238, 6232, 1159, 1054, 4533, 1159, 7708, 6538, 18400, 3210, 4681, 1005, 1205, 1580, 1054, 18240, 21307, 14571, 1324, 8379, 1349, 1026, 16170, 1068, 1026, 12446, 1096, 1184, 1094, 10068, 5029, 4405, 3960, 2497, 1009, 12849, 1048, 3902, 1006, 1086, 6929, 1324, 1026, 2373, 12547, 1164, 1009, 8459, 4324, 1592, 12875, 18, 1159, 1919, 1026, 5102, 7445, 3382, 1048, 3192, 4292, 1846, 2875, 2104, 1271, 26119, 1048, 1058, 19050, 1049, 7223, 1026, 13959, 1325, 1072, 4526, 1043, 1026, 2373, 1223, 1368, 1137, 626, 1048, 12161, 1233, 4930, 1068, 2997, 2373, 1036, 1016, 12185, 626, 1005, 1160, 1261, 1048, 1848, 1068, 1006, 1413, 1889, 25905, 7993, 1342, 1060, 1641, 96, 17823, 5126, 9775, 1046, 1006, 11295, 20, 1063, 6406, 1096, 1109, 3515, 1532, 22675, 2166, 6485, 1006, 9525, 19873, 1009, 3481, 1009, 2199, 3843, 1138, 2373, 1223, 1368, 1137, 626, 1096, 6185, 2464, 1072, 7755, 2569, 1044, 22818, 1221, 13609, 1043, 1180, 25435, 1180, 2077, 1108, 1704, 13959, 1225, 1044, 14170, 4205, 1629, 31736, 1118, 1264, 1048, 1026, 7191, 2328, 1060, 11295, 20, 1424, 1989, 1109, 1334, 1897, 3481, 1009, 2199, 2485, 1006, 12254, 13635, 1328, 1620, 1184, 1026, 2497, 1009, 12849, 1049, 7445, 7407, 2200, 18, 7021, 1333, 3240, 3902, 1094, 2373, 1352, 2757, 626, 8519, 1919, 1026, 8787, 2979, 1042, 3478, 9485, 1322, 1026, 1048, 1264, 1318, 5608, 1393, 1511, 1184, 5102, 15, 1009, 2693, 7881, 5223, 1071, 625, 18870, 2624, 2449, 1072, 2402, 1009, 20280, 1633, 3165, 1048, 2289, 2697, 1993, 1009, 1094, 1472, 7, 4324, 3348, 1497, 1072, 13362, 52, 1026, 13959, 1054, 6672, 4464, 1060, 1090, 1486, 3377, 21876, 2373, 1352, 2757, 626, 1325, 1114, 11295, 1009, 30364, 1068, 1571, 2155, 22414, 1114, 6406, 1009, 7856, 6888, 1048, 16512, 1026, 2403, 7811, 84, 1401, 1031, 1876, 1865, 1005, 7910, 5640, 1134, 1508, 1010, 1005, 1132, 5059, 1444, 1018, 1060, 20798, 1096, 1044, 1187, 29376, 4533, 7178, 1006, 1663, 1094, 1455, 7545, 1027, 1118, 5360, 11966, 1025, 3785, 1086, 84, 6214, 6997, 20189, 1148, 1187, 4533, 1086, 84, 6214, 1391, 30934, 1159, 9139, 1009, 10073, 4358, 7708, 6538, 7070, 2196, 1063, 7141, 1416, 7088, 1571, 4319, 4374, 1689, 1048, 16353, 1094, 3610, 1009, 1086, 84, 1401, 1031, 1876, 1865, 1068, 1124, 4506, 1273, 2307, 4319, 1044, 1086, 84, 1401, 1031, 1876, 23025, 1533, 4786, 24882, 1060, 4188, 3449, 11146, 30386, 1009, 14937, 7639, 1664, 1132, 5437, 1333, 1187, 15406, 23153, 1049, 20053, 6232, 1159, 1054, 4533, 1159, 1138, 9535, 2216, 85, 13038, 1468, 1009, 1796, 1045, 1434, 5226, 1075, 3926, 3449, 2464, 1054, 1752, 5212, 1049, 23606, 1026, 4148, 1048, 5501, 2307, 1005, 7084, 4972, 1068, 1048, 1026, 7660, 1348, 2589, 1295, 14937, 8647, 1554, 4378, 1090, 8237, 14965, 2739, 2624, 4145, 1044, 16027, 1009, 17024, 5120, 1159, 1058, 1026, 2403, 12401, 2049, 3505, 1726, 20072, 2271, 1026, 2738, 1159, 25123, 1326, 626, 1833, 18783, 13923, 21307, 4572, 10949, 32, 1163, 84, 1401, 1031, 6020, 14177, 1098, 13027, 15, 5649, 1048, 2122, 4415, 23025, 1071, 4640, 1401, 1031, 1876, 4564, 1068, 1044, 2999, 15950, 5156, 15, 12340, 11328, 1294, 1646, 5251, 1005, 6617, 2328, 1009, 4533, 1159, 2079, 4401, 96, 23834, 4401, 5121, 2226, 6456, 1206, 1138, 11771, 5139, 18324, 91, 1114, 5033, 21307, 2878, 23892, 1134, 2057, 2604, 1084, 1218, 2975, 2226, 7224, 1005, 2464, 1114, 3633, 2485, 1215, 10799, 1114, 4415, 1865, 1049, 1086, 84, 1401, 1031, 1876, 1511, 28615, 1026, 1804, 7370, 4779, 9727, 11649, 2673, 1118, 2191, 1009, 18620, 1573, 14304, 1118, 3018, 9102, 1344, 2363, 2958, 9565, 6889, 2073, 5521, 1766, 1134, 1508, 1010, 1715, 1096, 1044, 2403, 22966, 1005, 1680, 10635, 1213 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 20008, 15, 17214, 14538, 18196, 15883, 15, 2976, 6183, 20694, 17466, 15, 5673, 1005, 9818, 8676, 1967, 15, 16274, 1170, 1005, 6543, 1967, 15, 1972, 4736, 5803, 1967, 15, 13471, 1330, 14090, 6009, 1967, 15, 13927, 19, 1088, 1568, 1034, 1967, 15, 24913, 2149, 7375, 25641, 2149, 7362, 15332, 1027, 2149, 7362, 10949, 12874, 2673, 2149, 7224, 16640, 20389, 4756, 2149, 7224, 20229, 2149, 6877, 2345, 5523, 84, 6473, 2149, 6456, 6403, 1095, 1153, 90, 2404, 2149, 6456, 2899, 2404, 5371, 2636, 2149, 6456, 5654, 9760, 7873, 1065, 2149, 6456, 1082, 4136, 2149, 5463, 2858, 12422, 26304, 2149, 4681, 12843, 10924, 2149, 4681, 29337, 19, 1367, 1147, 2149, 4681, 1119, 2431, 2404, 25960, 5549, 1009, 25367, 25960, 28395, 5714, 8433, 25960, 8801, 95, 53, 86, 1071, 11306, 10949, 14002, 1577, 1071, 7362, 29232, 18972, 1087, 12853, 1071, 7362, 1039, 9845, 1071, 7362, 1119, 1230, 4405, 5371, 2636, 1071, 7224, 20671, 11759, 1358, 29844, 7384, 1723, 5196, 1418, 3304, 29844, 1344, 1434, 81, 6482, 1528, 29844, 1144, 1087, 7518, 1241, 1897, 1876, 29844, 1776, 1046, 1574, 1104, 17482, 29844, 31150, 1563, 29844, 7727, 79, 45, 29844, 1067, 1218, 1013, 29844, 2079, 95, 30835, 1523, 3474, 31083, 29844, 3781, 15722, 11150, 29844, 5065, 1227, 1958, 2983, 29844, 25909, 22765, 29844, 1842, 1046, 20897, 27195, 2421, 1337, 3671, 1832, 27195, 1180, 21304, 18798, 3448, 20955, 1180, 177, 6380, 1051, 12842, 1014, 3036, 20955, 4782, 4869, 1067, 76, 1279, 20955, 9504, 3973, 20955, 16860, 17821, 12032, 1418, 20955, 8658, 6403, 1259, 84, 6473, 16589, 2330, 1093, 20955, 12241, 1905, 2899, 2404, 5371, 2636, 20955, 6445, 4517, 3828, 15714, 24274, 1505, 58, 3071, 4414, 15714, 1062, 2060, 10810, 2753, 10499, 15714, 8904, 1119, 1418, 3304, 15714, 15232, 3728, 13430, 1226, 15714, 9504, 4210, 15714, 9504, 4161, 15714, 11735, 2376, 1540, 1304, 15714, 8461, 1067, 3889, 3979, 15714, 5153, 2376, 1540, 1304, 15714, 1603, 2335, 2376, 1540, 1304, 15714, 1067, 1226, 80, 1220, 2079, 4797, 81, 15714, 28273, 26351, 15714, 7204, 15714, 1594, 1331, 1018, 12672, 6182, 1344, 1035, 5378, 12672, 29188, 7409, 12672, 19684, 1876, 12672, 6403, 1095, 1056, 1065, 2404, 12672, 1119, 1414, 1714, 9914, 12672, 1084, 2806, 1119, 23674, 15268, 1237, 3265, 12672, 16725, 1042, 4269, 6844, 12672, 11240, 5100, 1106, 5076, 1081, 12672, 15212, 1056, 12672, 12412, 1252, 1528, 12672, 23565, 91, 5637, 12672, 15232, 3783, 2397, 78, 9565, 12672, 1144, 9603, 2376, 1540, 1304, 12672, 1138, 1041, 8132, 9914, 12672, 9504, 4152, 12672, 9504, 3209, 12672, 9504, 4579, 12672, 1633, 17419, 2376, 1540, 1304, 12672, 1633, 3213, 2376, 1540, 1304, 12672, 1123, 2874, 1020, 11888, 4602, 12672, 28198, 2376, 1540, 1304, 12672, 12382, 95, 21610, 12672, 2079, 4797, 81, 12672, 1006, 12672, 1011, 12672, 1005, 12672, 1086, 12672, 1, 16845, 1134, 1508, 1010, 1005, 1132, 5059, 1444, 1018, 1060, 20798, 8, 3210, 11306, 1096, 1094, 1271, 26807, 1455, 7545, 1121, 1060, 2935, 1049, 6450, 3267, 1072, 5029, 8287, 1886, 1095, 1912, 1221, 1086, 84, 6214, 3617, 1063, 12254, 1096, 1044, 2991, 1009, 14304, 2328, 1049, 18280, 1006, 20898, 5423, 22912, 1096, 22072, 1118, 2191, 1009, 5138, 1086, 84, 6214, 3617, 1776, 10872, 3437, 1990, 1049, 13959, 1159, 1026, 9220, 1034, 80, 1526, 8, 1175, 6185, 1048, 2328, 1049, 30876, 24702, 1399, 1034, 1005, 5440, 16016, 3902, 1044, 4788, 2497, 19087, 1009, 9473, 32, 1006, 5083, 18612, 3029, 3636, 1006, 3902, 1009, 1094, 11295, 12787, 10872, 1213, 1592, 1557, 16074, 6710, 1005, 26476, 15, 1365, 1989, 1784, 1005, 1006, 12051, 12921, 6135, 2034, 2624, 1503, 2449, 1072, 2402, 1009, 20280, 1633, 3165, 1048, 2289, 2697, 1993, 1009, 1094, 1472, 5848, 19, 2800, 37, 1063, 11295, 37, 4271, 79, 5691, 1049, 13959, 3348, 4039, 1072, 13362, 52, 1308, 2814, 1094, 1641, 27002, 18650, 3208, 3050, 1140, 1118, 19542, 14597, 8983, 1044, 5102, 16851, 9741, 1599, 29659, 12261, 1100, 1006, 1712, 1751, 1049, 1557, 1054, 25311, 4475, 1134, 2507, 1435, 1049, 24063, 2825, 74, 4559, 1049, 1541, 77, 1301, 11097, 1026, 15170, 1058, 2232, 16639, 1154, 1072, 1235, 5512, 1571, 1058, 26012, 1043, 1026, 1784, 7809, 1118, 2191, 1060, 15631, 1288, 1026, 7749, 1021, 2576, 1009, 4049, 2459, 1128, 1258, 2356, 1699, 2878, 8, 3812, 1029, 1159, 1114, 2423, 1009, 10255, 21903, 4358, 1264, 1096, 20019, 1357, 24702, 1399, 1034, 1271, 8804, 1049, 9171, 20, 1128, 1893, 17944, 1235, 5822, 1032, 1303, 1043, 1006, 1834, 1118, 2191, 1009, 19049, 7794, 5048, 6112, 1241, 1270, 1009, 17944, 1569, 26984, 1242, 1068, 1006, 1224, 4809, 28678, 1005, 1068, 1132, 13997, 1225, 1124, 6099, 1060, 5353, 1159, 1094, 4169, 2039, 2774, 7655, 1044, 10036, 1351, 1104, 4050, 1006, 5360, 1485, 8659, 4333, 1456, 26933, 1929, 1056, 4707, 1005, 1155, 1843, 13156, 1484, 1694, 1006, 3289, 1009, 1094, 14220, 7092, 1114, 5353, 31602, 1159, 10855, 25435, 1180, 2077, 1108, 1406, 2924, 5231, 1006, 10255, 25026, 1349, 2742, 1428, 1044, 8048, 24814, 1424, 1006, 8685, 1009, 1044, 2792, 24620, 1048, 8089, 1233, 1641, 1986, 1044, 7279, 1837, 1646, 17865, 1006, 6654, 1049, 2403, 5103, 1006, 13786, 88, 1026, 2733, 1876, 22981, 3617, 22770, 73, 13156, 1005, 6386, 11685, 1006, 1058, 28177, 1533, 12237, 2555, 1769, 3449, 23589, 1005, 6717, 77, 1130, 1068, 1006, 11295, 1009, 6102, 1060, 4930, 1026, 5212, 21708, 1040, 4631, 1060, 12254, 32, 2386, 1160, 1998, 1009, 1094, 2700, 1009, 13025, 14505, 1048, 13876, 1072, 9388, 31025, 14304, 8536, 5710, 15568, 1049, 14937, 1876, 1852, 1213, 1428, 1026, 2403, 9606, 4537, 4441, 1134, 1508, 1010, 1005, 1132, 5059, 1444, 1018, 1060, 20798, 16484, 1349, 1026, 1831, 29753, 1009, 29754, 1130, 10499, 4271, 18314, 1009, 20631, 1159, 1026, 8030, 23836, 1060, 6211, 31612, 4382, 1114, 16440, 1153, 626, 1349, 8229, 1072, 7093, 1009, 3147, 1183, 1045, 1062, 2344, 86, 1731, 1071, 625, 51, 8762, 1068, 3735, 1124, 2397, 6238, 1058, 2193, 1165, 1046, 626, 15, 1096, 1184, 1049, 1048, 1044, 8345, 11408, 1291, 14963, 1048, 9047, 1054, 1637, 14686, 1016, 1159, 1124, 1049, 2403, 28937, 2095, 1038, 8831, 8, 1009, 1163, 1093, 7708, 4833, 17117, 2247, 18, 1766, 1134, 1508, 1010, 1715, 1096, 1184, 1044, 2991, 1009, 1159, 1026, 6450, 4955, 1124, 5480, 1009, 17314, 1060, 20898, 5423, 22912, 1118, 2191, 1009, 11588, 1347, 5138, 1025, 12851, 1060, 8928, 1049, 1086, 84, 1401, 1031, 9144, 3316, 8928, 1048, 21600, 1497, 7136, 1005, 18679, 14653, 1124, 16558, 5746, 2984, 1758, 1187, 3974, 1086, 84, 6214, 1391, 1213, 2729, 1060, 2042, 3590, 1095, 1095, 1070, 1400, 8836, 80, 1708, 1005, 24520, 1689, 3528, 18879, 7767, 1071, 13489, 14562, 4331, 15, 23808, 2315, 1048, 1132, 5138, 1033, 1690, 83, 1391, 1049, 6450, 28324, 10369, 1058, 31807, 1054, 6019, 1927, 1009, 2125, 4267, 1009, 25757, 1886, 1095, 1912, 1391, 32, 1026, 13125, 1095, 13448, 1026, 8836, 80, 1526, 1005, 1026, 24520, 9596, 3316, 5223, 10271, 3530, 2125, 5138, 32, 22777, 2453, 1009, 1044, 11108, 1800, 10233, 7117, 14654, 2453, 1049, 1235, 3266, 6402, 1044, 3010, 2593, 1048, 1200, 15134, 71, 2693, 1006, 3513, 8606, 1159, 1094, 11553, 5223, 1009, 9741, 3784, 1009, 1160, 1663, 1751, 1009, 1094, 3225, 2485, 4018, 1032, 1236, 1159, 1359, 2431, 86, 1236, 1005, 1098, 11806, 9708, 1145, 1704, 13959, 14963, 1009, 1766, 1134, 1508, 1010, 1715, 626, 1096, 1026, 1886, 1575, 2086, 1049, 8836, 80, 4289, 7329, 20898, 5423, 1096, 13538, 1356, 30876, 24702, 1399, 1034, 1005, 22171, 1667, 2200, 1160, 1365, 1054, 13605, 1206, 17134, 3746, 2016, 1657, 20362, 2289, 1054, 1044, 2497, 1009, 12849, 12736, 1026, 2381, 1348, 1086, 84, 6214, 1221, 6425, 1061, 26169, 15044, 1086, 84, 6214, 1221, 1049, 2738, 1060, 1516, 4865, 6861, 2512, 2497, 19087, 1009, 9473, 4310, 1009, 1663, 1026, 11091, 6931, 1006, 12849, 1009, 2220, 1026, 22491, 1026, 8167, 11411, 1060, 5141, 6495, 25074, 6021, 1058, 6931, 1006, 12051, 1005, 3219, 1479, 1006, 1086, 84, 6473, 3377, 21876, 5440, 16016, 1005, 13579, 1327, 28139, 1016, 1166, 2691, 1569, 1455, 7545, 1121, 1357, 6211, 1071, 625, 48, 2560, 4324, 1072, 5239, 1064, 24100, 1221, 1565, 1138, 2666, 1381, 1026, 13959, 2837, 1094, 1957, 96, 2801, 1365, 10759, 1005, 17265, 8264, 1026, 18154, 2497, 1009, 17073, 1627, 1054, 6019, 1060, 1428, 11213, 2693, 1006, 3513, 3909, 1223, 1732, 1145, 1048, 1026, 2403, 2572, 2837, 1068, 1026, 7660, 20716, 1044, 17597, 3378, 8954, 11271, 1357, 12337, 1048, 2572, 12742, 13396, 89, 1005, 5480, 4007, 1580, 1043, 4805, 22936, 1321, 5121, 5281, 3074, 3569, 1005, 1006, 3596, 8859, 1009, 4601, 1159, 1006, 1187, 16448, 1111, 5282, 1048, 4551, 1046, 1006, 1357, 1155, 1589, 1009, 1180, 25435, 1180, 2077, 1108, 1206, 1132, 3044, 6039, 2602, 1030, 1956, 1018, 1187, 1456, 10826, 2173, 1010, 1213, 29381, 1288, 1006, 3357, 1049, 19918, 1114, 11295, 3482, 7393, 1006, 11295, 1009, 30364, 1026, 1807, 14937, 1876, 1048, 29642, 1026, 13959, 1026, 8836, 80, 1526, 4666, 20053, 1338, 1024, 1072, 2191, 1060, 11295, 1071, 22279, 24756, 1072, 2403, 15, 1096, 1026, 2497, 1009, 12849, 20, 1551, 9215, 2653, 1049, 9388, 31025, 1963, 21399, 1068, 1006, 19238, 6232, 1159, 1054, 4533, 1159, 7708, 6538, 18400, 3210, 4681, 1005, 1205, 1580, 1054, 18240, 21307, 14571, 1324, 8379, 1349, 1026, 16170, 1068, 1026, 12446, 1096, 1184, 1094, 10068, 5029, 4405, 3960, 2497, 1009, 12849, 1048, 3902, 1006, 1086, 6929, 1324, 1026, 2373, 12547, 1164, 1009, 8459, 4324, 1592, 12875, 18, 1159, 1919, 1026, 5102, 7445, 3382, 1048, 3192, 4292, 1846, 2875, 2104, 1271, 26119, 1048, 1058, 19050, 1049, 7223, 1026, 13959, 1325, 1072, 4526, 1043, 1026, 2373, 1223, 1368, 1137, 626, 1048, 12161, 1233, 4930, 1068, 2997, 2373, 1036, 1016, 12185, 626, 1005, 1160, 1261, 1048, 1848, 1068, 1006, 1413, 1889, 25905, 7993, 1342, 1060, 1641, 96, 17823, 5126, 9775, 1046, 1006, 11295, 20, 1063, 6406, 1096, 1109, 3515, 1532, 22675, 2166, 6485, 1006, 9525, 19873, 1009, 3481, 1009, 2199, 3843, 1138, 2373, 1223, 1368, 1137, 626, 1096, 6185, 2464, 1072, 7755, 2569, 1044, 22818, 1221, 13609, 1043, 1180, 25435, 1180, 2077, 1108, 1704, 13959, 1225, 1044, 14170, 4205, 1629, 31736, 1118, 1264, 1048, 1026, 7191, 2328, 1060, 11295, 20, 1424, 1989, 1109, 1334, 1897, 3481, 1009, 2199, 2485, 1006, 12254, 13635, 1328, 1620, 1184, 1026, 2497, 1009, 12849, 1049, 7445, 7407, 2200, 18, 7021, 1333, 3240, 3902, 1094, 2373, 1352, 2757, 626, 8519, 1919, 1026, 8787, 2979, 1042, 3478, 9485, 1322, 1026, 1048, 1264, 1318, 5608, 1393, 1511, 1184, 5102, 15, 1009, 2693, 7881, 5223, 1071, 625, 18870, 2624, 2449, 1072, 2402, 1009, 20280, 1633, 3165, 1048, 2289, 2697, 1993, 1009, 1094, 1472, 7, 4324, 3348, 1497, 1072, 13362, 52, 1026, 13959, 1054, 6672, 4464, 1060, 1090, 1486, 3377, 21876, 2373, 1352, 2757, 626, 1325, 1114, 11295, 1009, 30364, 1068, 1571, 2155, 22414, 1114, 6406, 1009, 7856, 6888, 1048, 16512, 1026, 2403, 7811, 84, 1401, 1031, 1876, 1865, 1005, 7910, 5640, 1134, 1508, 1010, 1005, 1132, 5059, 1444, 1018, 1060, 20798, 1096, 1044, 1187, 29376, 4533, 7178, 1006, 1663, 1094, 1455, 7545, 1027, 1118, 5360, 11966, 1025, 3785, 1086, 84, 6214, 6997, 20189, 1148, 1187, 4533, 1086, 84, 6214, 1391, 30934, 1159, 9139, 1009, 10073, 4358, 7708, 6538, 7070, 2196, 1063, 7141, 1416, 7088, 1571, 4319, 4374, 1689, 1048, 16353, 1094, 3610, 1009, 1086, 84, 1401, 1031, 1876, 1865, 1068, 1124, 4506, 1273, 2307, 4319, 1044, 1086, 84, 1401, 1031, 1876, 23025, 1533, 4786, 24882, 1060, 4188, 3449, 11146, 30386, 1009, 14937, 7639, 1664, 1132, 5437, 1333, 1187, 15406, 23153, 1049, 20053, 6232, 1159, 1054, 4533, 1159, 1138, 9535, 2216, 85, 13038, 1468, 1009, 1796, 1045, 1434, 5226, 1075, 3926, 3449, 2464, 1054, 1752, 5212, 1049, 23606, 1026, 4148, 1048, 5501, 2307, 1005, 7084, 4972, 1068, 1048, 1026, 7660, 1348, 2589, 1295, 14937, 8647, 1554, 4378, 1090, 8237, 14965, 2739, 2624, 4145, 1044, 16027, 1009, 17024, 5120, 1159, 1058, 1026, 2403, 12401, 2049, 3505, 1726, 20072, 2271, 1026, 2738, 1159, 25123, 1326, 626, 1833, 18783, 13923, 21307, 4572, 10949, 32, 1163, 84, 1401, 1031, 6020, 14177, 1098, 13027, 15, 5649, 1048, 2122, 4415, 23025, 1071, 4640, 1401, 1031, 1876, 4564, 1068, 1044, 2999, 15950, 5156, 15, 12340, 11328, 1294, 1646, 5251, 1005, 6617, 2328, 1009, 4533, 1159, 2079, 4401, 96, 23834, 4401, 5121, 2226, 6456, 1206, 1138, 11771, 5139, 18324, 91, 1114, 5033, 21307, 2878, 23892, 1134, 2057, 2604, 1084, 1218, 2975, 2226, 7224, 1005, 2464, 1114, 3633, 2485, 1215, 10799, 1114, 4415, 1865, 1049, 1086, 84, 1401, 1031, 1876, 1511, 28615, 1026, 1804, 7370, 4779, 9727, 11649, 2673, 1118, 2191, 1009, 18620, 1573, 14304, 1118, 3018, 9102, 1344, 2363, 2958, 9565, 6889, 2073, 5521, 1766, 1134, 1508, 1010, 1715, 1096, 1044, 2403, 22966, 1005, 1680, 10635, 1213 ]

[ 1381, 1184, 2156, 9782, 1322, 2822, 1049, 9920, 29462, 1447, 6249, 5, 2721, 10579, 23994, 1711, 675, 2432, 96, 1078, 1252, 1467, 6610, 1009, 23182, 1005, 1128, 29759, 10752, 1184, 2156, 28879, 8317, 3068, 3757, 1068, 12139, 1026, 2743, 1048, 1548, 29461, 1026, 9920, 29462, 1447, 6249, 2645, 50, 8111, 3990, 2600, 2414, 1049, 10219, 1565, 1138, 9920, 1096, 1044, 13371, 15335, 1726, 30103, 1242, 1048, 3758, 1026, 10472, 1009, 2306, 1058, 6681, 1893, 1118, 1557, 1009, 3159, 1005, 1160, 1118, 5293, 1533, 1944, 9782, 2177, 5191, 1114, 9710, 1071, 5940, 1349, 1726, 21881, 16054, 1072, 31804, 6013, 11959, 11988, 1898, 620, 1026, 2670, 1060, 5960, 19826, 1145, 1187, 19400, 2663, 7270, 1349, 26103, 7980, 1060, 5827, 5751, 31510, 1026, 2670, 1060, 10502, 1067, 6199, 1672, 6483, 2434, 7956, 1060, 5827, 31510, 1026, 2670, 1060, 2360, 5960, 23643, 2867, 1187, 19400, 5469, 41, 4233, 1349, 3236, 3270, 1483, 1164, 16637, 31510, 1026, 2670, 1060, 4630, 5464, 1187, 19400, 6070, 45, 58, 1349, 8877, 1073, 1889, 78, 31510, 1026, 2670, 1060, 5960, 5464, 1187, 19400, 1049, 1561, 2663, 45, 58, 23376, 7694, 16897, 31510, 1026, 2670, 1060, 5744, 2769, 1187, 11532, 5811, 15990, 1102, 1060, 18812, 3517, 1049, 1561, 30906, 76, 1192, 1349, 2188, 1523, 71, 2129, 1551, 71, 15481, 1046, 7262, 31510, 1900, 18066, 8572, 10182, 10852, 1060, 5960, 1187, 19400, 1005, 5057, 5709, 1170, 1049, 1561, 2663, 58, 40, 1621, 620, 1026, 7778, 13209, 1060, 17090, 6164, 1009, 27551, 1032, 1166, 1005, 10407, 1129, 1573, 2663, 1193, 1241, 1349, 3514, 1139, 1130, 23594, 4404, 1723, 1009, 7706, 31510, 6891, 4243, 18108, 1400, 10852, 1060, 6338, 8346, 1525, 1060, 30610, 2769, 1009, 1142, 10266, 27927, 82, 10266, 15, 6033, 9707, 8387, 1349, 1006, 10562, 20144, 1044, 6304, 1009, 21916, 1005, 11255, 1049, 1156, 1292, 1126, 15621, 16287, 1045, 33, 1026, 6680, 1049, 7414, 1009, 1123, 2390, 1009, 12698, 1049, 1106, 16852, 14257, 17175, 1163, 1648, 8753, 19789, 33, 1026, 20238, 1049, 25609, 6760, 1127, 169, 5045, 90, 7941, 33, 1005, 1026, 9495, 10451, 1054, 17932, 5170, 4285, 14273, 1191, 1187, 2242, 1554, 1063, 9782, 2177, 5191, 1726, 1782, 3229, 1072, 31804, 1422, 5613, 28879, 5036, 1751, 1009, 1094, 2700, 1009, 19855, 1109, 9010, 1356, 24587, 1049, 11797, 6483, 6483, 2929, 1292, 20968, 20448, 5705, 57, 1565, 2200, 9606, 5924, 1235, 8616, 1322, 1026, 2743, 1054, 31559, 20968, 1566, 18454, 1079, 1048, 2155, 8924, 1124, 6264, 9227, 1049, 13371, 1060, 30103, 1411, 1118, 4966, 1048, 1026, 9920, 29462, 1447, 6249, 8160, 75, 1132, 6709, 1059, 1165, 1272, 10740, 3141, 16731, 7260, 32, 12151, 10698, 1159, 1132, 25221, 5430, 1986, 9507, 2281, 3533, 12087, 1043, 1026, 6498, 1271, 31578, 1060, 29026, 12004, 1058, 4505, 1024, 1054, 2869, 1213, 9920, 29462, 1447, 6249, 1005, 1124, 5494, 17312, 1170, 1159, 1006, 2373, 76, 7163, 19208, 626, 1005, 2089, 1673, 1053, 6700, 1048, 17901, 1657, 1068, 2623, 1302, 1130, 1132, 16135, 8451, 1166, 1049, 1561, 11816, 1132, 11787, 1072, 25836, 1132, 2395, 1361, 1187, 11787, 1043, 1026, 7395, 5120, 1132, 2395, 1361, 1187, 11787, 1009, 3156, 75, 2037, 1132, 2395, 1361, 1043, 1132, 11787, 1009, 13586, 1124, 9524, 22535, 1060, 1264, 1459, 1049, 7395, 1876, 1060, 4630, 20, 1063, 46, 7, 11203, 1160, 2643, 11480, 1844, 2400, 1206, 2089, 7320, 1009, 14149, 4234, 1118, 8486, 31221, 1034, 9806, 1018, 2643, 1841, 1026, 1622, 1049, 9214, 1114, 5978, 1009, 1456, 3194, 1400, 13282, 1124, 6283, 1009, 14931, 2642, 1656, 4786, 1495, 1009, 11361, 1159, 7478, 5529, 3686, 2069, 1077, 3235, 1005, 25482, 1006, 13264, 2094, 1068, 1268, 17458, 1024, 1006, 4114, 3843, 2605, 1068, 1132, 8451, 1166, 1048, 8669, 1046, 1049, 9920, 29462, 22285, 3335, 9344, 32, 2373, 7754, 1006, 2742, 11480, 19208, 0, 2098, 1193, 1074, 8451, 1166, 1049, 3878, 18659, 1132, 8451, 1166, 1060, 5253, 1005, 1009, 1734, 3825, 1048, 3631, 5706, 1026, 9343, 1667, 11026, 1132, 8451, 1166, 12489, 5224, 1048, 1043, 1235, 1499, 9439, 9777, 4140, 12807, 1132, 5089, 13981, 77, 2585, 1132, 1028, 6837, 1169, 1046, 2018, 10825, 1132, 15898, 1072, 1169, 1029, 2016, 1094, 5380, 6501, 2166, 1005, 1043, 1026, 21834, 1616, 18867, 1006, 20116, 1439, 20, 2605, 1616, 1160, 9926, 1827, 5984, 1160, 1837, 4961, 20011, 1288, 1026, 1025, 1388, 1049, 2054, 7096, 1005, 1026, 10221, 1060, 14949, 3971, 1009, 3480, 626, 2276, 32, 14949, 4118, 1046, 1006, 11480, 19208, 2373, 18, 1206, 1006, 1799, 2400, 1206, 13306, 5192, 9215, 3473, 3616, 1048, 24404, 28594, 1026, 9343, 85, 1184, 6849, 14149, 4234, 1118, 8486, 31221, 1034, 1005, 1132, 2383, 1040, 1068, 1927, 2098, 9074, 1054, 1422, 6951, 17534, 1305, 16167, 1156, 5312, 10718, 9078, 20807, 7674, 23028, 6641, 1049, 2956, 6578, 3022, 3878, 4505, 3784, 24878, 2762, 12533, 7068, 11837, 6268, 9628, 21301, 6283, 6796, 9920, 29462, 18949, 1047, 2182, 11538, 7162, 2534, 9920, 29462, 22285, 3335, 1134, 4196, 29462, 1447, 6249, 1005, 1132, 25221, 5430, 11480, 1844, 2400, 1134, 25922, 6105, 1058, 7555, 30031, 9920, 29462, 22285, 3335, 1134, 25922, 1005, 1026, 9920, 29462, 22285, 3335, 5661, 23815, 19328, 20537, 29204, 23815, 19328, 30898, 2645, 26446, 15347, 1072, 3878, 3399, 1678, 20807, 23073, 11056, 2822, 1049, 9920, 29462, 22285, 3335, 1632, 1053, 1005, 1026, 9920, 29462, 22285, 3335, 2689, 30737, 17932, 23449, 23945, 1672, 4490, 15783, 3293, 20, 13915, 4676, 9203, 5292, 1163, 1170, 1678, 26103, 7980, 1060, 5827, 5751, 33, 18, 5744, 2769, 1187, 11532, 5811, 15990, 1102, 1060, 18812, 3517, 1049, 1561, 30906, 76, 1192, 18, 2188, 1523, 71, 2129, 1551, 71, 15481, 24013, 3426, 4861, 1049, 10836, 1600, 1382, 1600, 2334, 1457, 1052, 21640, 5960, 19826, 1145, 1187, 19400, 2663, 7270, 1349, 1062, 1279, 1024, 9871, 4776, 18823, 58, 9484, 14162, 1241, 18, 6610, 1009, 2773, 88, 1149, 5170, 1005, 11185, 1060, 21360, 1062, 23644, 6483, 2434, 7956, 1060, 10874, 9920, 29462, 22285, 3335, 9920, 29462, 1447, 6249, 4984, 1009, 3261, 1009, 7905, 9920, 29462, 1447, 6249, 10790, 1160, 5544, 1058, 1026, 1266, 18, 1033, 78, 73, 1005, 1006, 30103, 1411, 10502, 1067, 6199, 1672, 23389, 1577, 7377, 2456, 18, 1900, 18066, 8572, 10182, 3236, 3270, 1483, 1164, 16637, 33, 18, 15621, 16287, 3947, 1142, 9642, 10790, 2155, 24752, 6355, 2822, 1049, 9920, 29462, 22285, 3335, 10790, 10200, 1679, 9343, 1229, 1184, 2156, 9782, 1322, 2822, 1049, 9920, 29462, 22285, 3335, 4285, 14273, 1191, 1187, 11815, 1026, 23666, 1187, 8451, 2585, 23073, 18, 23073, 1168, 28127, 2743, 1049, 10836, 2434, 1632, 2334, 23073, 1717, 9920, 29462, 22285, 3335, 23073, 11056, 2822, 1049, 9920, 29462, 22285, 3335, 1132, 16135, 8451, 1166, 1049, 3878, 1132, 19811, 1072, 3878, 1766, 31826, 18113, 4452, 2434, 1632, 2334, 20238, 1049, 25609, 6760, 1127, 169, 5045, 8841, 1627, 8877, 1073, 1889, 2975, 1123, 16731, 7260, 1114, 5978, 1187, 8451, 2585, 10511, 25663, 24752, 6355, 2822, 1049, 9920, 29462, 22285, 3335, 17201, 1187, 27551, 1032, 1166, 1060, 5960, 5464, 1187, 5057, 4385, 27890, 7441, 1009, 8451, 1166, 1005, 2381, 1129, 1573, 1060, 22476, 1487, 1424, 15292, 6186, 1467, 6665, 1112, 1213, 2671, 10790, 6748, 1782, 3328, 1043, 20116, 1007, 1072, 7176, 5, 2721, 10579, 23994, 1711, 675, 2432, 96, 1078, 1252, 1759, 3402, 13443, 20380, 1479, 1063, 9738, 1213, 2671, 1049, 2670, 6891, 21274, 10790, 1060, 5827, 9564, 2256, 3328, 17200, 13095, 2277, 1006, 3780, 8123, 58, 9892, 1219, 9039, 1138, 7239, 3475, 1009, 1779, 2084, 7089, 1068, 1675, 2084, 26, 8401, 1026, 4863, 2271, 3149, 1009, 15330, 4685, 1225, 6841, 12308, 1006, 9738, 4987, 1009, 1142, 9642, 3475, 1009, 1799, 17021, 1054, 2992, 1068, 1779, 2443, 14441, 1054, 3261, 9003, 1026, 1700, 1041, 20690, 1026, 3435, 19311, 1233, 20116, 1007, 1072, 7176, 1005, 7562, 2271, 1026, 2738, 1060, 1968, 23023, 1063, 3780, 10920, 1048, 1006, 5405, 1187, 1048, 1786, 2644, 1006, 20116, 1007, 1072, 7176, 14146, 1009, 1307, 2414, 7089, 1068, 1487, 2471, 7089, 20, 5841, 1096, 1026, 5064, 15693, 1054, 2256, 2250, 1048, 4955, 6841, 1114, 6621, 1049, 2671, 1005, 1114, 9738, 1009, 10790, 24755, 1006, 20645, 1054, 6796, 1026, 6522, 1060, 3780, 1096, 1068, 1006, 25038, 1060, 4769, 20510, 12936, 21691, 18, 25659, 29235, 1230, 1009, 1142, 16242, 17630, 1083, 0, 5326, 1687, 3475, 1026, 6615, 1009, 6130, 17703, 1063, 23882, 21075, 1114, 5846, 1037, 17530, 1138, 6615, 1009, 1764, 4989, 3236, 8128, 18, 6856, 4282, 1077, 1124, 23398, 1009, 11273, 1054, 1664, 1132, 4609, 17334, 1776, 1831, 29159, 8128, 4834, 1422, 2400, 16785, 1005, 10339, 7104, 15340, 13201, 2904, 52, 47, 21, 47, 2005, 1292, 1467, 20093, 1416, 1060, 14825, 1049, 2670, 10790, 9846, 1026, 1831, 1638, 1179, 17861, 1837, 2256, 2250, 1043, 1006, 3808, 8404, 1060, 3780, 12375, 1223, 1615, 8123, 47, 21, 47, 2005, 1292, 20, 1063, 5846, 1037, 1416, 9923, 2464, 1357, 1944, 1472, 2271, 3042, 1009, 8683, 1006, 6621, 14433, 1049, 2671, 3641, 1079, 32, 1009, 22952, 8401, 1054, 13660, 1068, 11403, 10390, 1084, 21103, 1006, 9388, 152, 32, 2539, 16220, 9610, 15991, 7284, 1060, 6647, 9482, 7933, 1704, 7239, 1009, 2373, 17588, 1476, 1714, 626, 10483, 1009, 1675, 11, 1068, 15269, 1005, 1026, 1009, 5416, 18, 1009, 16554, 1068, 2971, 10390, 5153, 1026, 1700, 1041, 20690, 1006, 9738, 1213, 2671, 3641, 1079, 1009, 1799, 17021, 1068, 1779, 15795, 11499, 1020, 3328, 1349, 2097, 1006, 27060, 6474, 1112, 1195, 1009, 2322, 11, 1068, 1204, 11, 18193, 1060, 25897, 1462, 2528, 16370, 8356, 1048, 1132, 2050, 21050, 6659, 18409, 11640, 24203, 32, 1026, 18586, 1096, 10492, 1054, 1664, 1132, 16169, 5365, 3983, 1063, 6347, 4612, 22509, 1233, 6496, 1195, 1009, 9160, 26, 1479, 12854, 14852, 1054, 2869, 1213, 9160, 30, 3388, 1533, 14825, 11184, 1009, 1142, 9642, 1048, 16651, 8812, 1054, 13660, 1195, 1090, 1662, 23091, 1006, 6992, 1072, 2670, 9564, 1009, 20169, 1068, 21482, 10390, 1063, 22923, 4909, 14146, 1009, 1578, 11, 1068, 3404, 10390, 11090, 1026, 2277, 30929, 1422, 13842, 1071, 1975, 9328, 9395, 25293, 12271, 1054, 2869, 1213, 1831, 1005, 1578, 11, 2149, 13842, 1054, 3049, 15, 3429, 1648, 1048, 5756, 20116, 1007, 1704, 1156, 2005, 1292, 7351, 4004, 1254, 24, 1783, 1054, 2322, 26, 2727, 4261, 1365, 1132, 2250, 2475, 1005, 1984, 1009, 3261, 20, 1063, 9130, 1009, 3481, 1096, 1009, 1791, 3328, 2098, 15037, 71, 7544, 15300, 1107, 1318, 19970, 1072, 3810, 1531, 1158, 21103, 6841, 12496, 1233, 1049, 1156, 2005, 10251, 1309, 2444, 19548, 1140, 1479, 1006, 9738, 1213, 2671, 1198, 1399, 9219, 1009, 6617, 8401, 1054, 3113, 1009, 7624, 1068, 1675, 7089, 1533, 19934, 2956, 3141, 16731, 7260, 32, 2656, 3012, 1178, 1213, 7462, 20, 1138, 2671, 29254, 1118, 4810, 1463, 3540, 1929, 1580, 1213, 6942, 1233, 31232, 1195, 11678, 4255, 1511, 1132, 6709, 1596, 13898, 1402, 1054, 6823, 1159, 1072, 2535, 31441, 1870, 1005, 1846, 9246, 1079, 1026, 7357, 1213, 1592, 1557, 1054, 1048, 11496, 3089, 1589, 1132, 6709, 1006, 1160, 9364, 4465, 1704, 2339, 1026, 2116, 3858, 4337, 1048, 1118, 6529, 1060, 6647, 4292, 1094, 3568, 1009, 9789, 10963, 1048, 18158, 1026, 20042, 1005, 3068, 4380, 1318, 1026, 2671, 29254, 1068, 1460, 8607, 1482, 2869, 1006, 25038, 10339, 7104, 1160, 13122, 1048, 1687, 1054, 4384, 3241, 1169, 9530, 1069, 26930, 6119, 1063, 23882, 3241, 10578, 2270, 1138, 6615, 1946, 1243, 1160, 5103, 4805, 22955, 18, 1005, 1235, 9568, 1620, 1096, 5437, 4475, 8128, 1620, 6133, 1114, 3349, 1005, 1213, 1048, 3449, 18, 8285, 1118, 1493, 1557, 1620, 33, 1160, 4800, 13101, 1048, 12936, 1566, 1325, 1054, 4600, 2098, 9074, 1054, 9078, 20807, 4447, 2648, 4678, 18586, 1915, 9086, 3878, 24878, 2762, 12533, 7068, 22059, 1324, 5132, 2571, 13824, 2469, 6647, 13485, 10164, 1072, 3878, 6647, 1072, 3878, 2263, 5541, 1054, 30998, 21301, 6283, 6796, 1134, 25922, 32, 6647, 2155, 10596, 1009, 1871, 29809, 2774, 18, 5661, 14966, 1114, 1163, 11077, 1142, 9642, 1142, 59, 1226, 1005, 1006, 4114, 2485, 3399, 1678, 20807, 6388, 1026, 26123, 13347, 12349, 24878, 2762, 2689, 30737, 23945, 1672, 8128, 1762, 1553, 1114, 9436, 8128, 32, 2671, 10790, 1381, 2444, 1049, 1048, 2168, 2339, 1313, 1259, 2263, 5541, 20, 13915, 4676, 1779, 2084, 1063, 23882, 9031, 1400, 1063, 23882, 21075, 4082, 1068, 10339, 7104, 1063, 6665, 1112, 1213, 2671, 10790, 6748, 1782, 12625, 9738, 1009, 10790, 1054, 27923, 7239, 1009, 7732, 21017, 1714, 8, 10483, 18, 8123, 47, 21, 47, 2005, 10251, 8123, 11151, 8123, 58, 9892, 1219, 3662, 12936, 21691, 18, 12936, 1288, 1324, 6283, 6796, 6615, 1009, 6130, 17703, 10790, 6748, 2256, 12625, 10790, 9846, 1026, 1831, 1638, 1179, 1056, 3426, 1449, 1078, 6284, 25038, 1060, 4769, 20510, 1026, 4863, 2271, 3149, 1009, 15330, 18, 15411, 3780, 8123, 58, 9892, 1219, 3662, 20116, 1007, 1072, 7176, 1381, 10790 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1381, 1184, 2156, 9782, 1322, 2822, 1049, 9920, 29462, 1447, 6249, 5, 2721, 10579, 23994, 1711, 675, 2432, 96, 1078, 1252, 1467, 6610, 1009, 23182, 1005, 1128, 29759, 10752, 1184, 2156, 28879, 8317, 3068, 3757, 1068, 12139, 1026, 2743, 1048, 1548, 29461, 1026, 9920, 29462, 1447, 6249, 2645, 50, 8111, 3990, 2600, 2414, 1049, 10219, 1565, 1138, 9920, 1096, 1044, 13371, 15335, 1726, 30103, 1242, 1048, 3758, 1026, 10472, 1009, 2306, 1058, 6681, 1893, 1118, 1557, 1009, 3159, 1005, 1160, 1118, 5293, 1533, 1944, 9782, 2177, 5191, 1114, 9710, 1071, 5940, 1349, 1726, 21881, 16054, 1072, 31804, 6013, 11959, 11988, 1898, 620, 1026, 2670, 1060, 5960, 19826, 1145, 1187, 19400, 2663, 7270, 1349, 26103, 7980, 1060, 5827, 5751, 31510, 1026, 2670, 1060, 10502, 1067, 6199, 1672, 6483, 2434, 7956, 1060, 5827, 31510, 1026, 2670, 1060, 2360, 5960, 23643, 2867, 1187, 19400, 5469, 41, 4233, 1349, 3236, 3270, 1483, 1164, 16637, 31510, 1026, 2670, 1060, 4630, 5464, 1187, 19400, 6070, 45, 58, 1349, 8877, 1073, 1889, 78, 31510, 1026, 2670, 1060, 5960, 5464, 1187, 19400, 1049, 1561, 2663, 45, 58, 23376, 7694, 16897, 31510, 1026, 2670, 1060, 5744, 2769, 1187, 11532, 5811, 15990, 1102, 1060, 18812, 3517, 1049, 1561, 30906, 76, 1192, 1349, 2188, 1523, 71, 2129, 1551, 71, 15481, 1046, 7262, 31510, 1900, 18066, 8572, 10182, 10852, 1060, 5960, 1187, 19400, 1005, 5057, 5709, 1170, 1049, 1561, 2663, 58, 40, 1621, 620, 1026, 7778, 13209, 1060, 17090, 6164, 1009, 27551, 1032, 1166, 1005, 10407, 1129, 1573, 2663, 1193, 1241, 1349, 3514, 1139, 1130, 23594, 4404, 1723, 1009, 7706, 31510, 6891, 4243, 18108, 1400, 10852, 1060, 6338, 8346, 1525, 1060, 30610, 2769, 1009, 1142, 10266, 27927, 82, 10266, 15, 6033, 9707, 8387, 1349, 1006, 10562, 20144, 1044, 6304, 1009, 21916, 1005, 11255, 1049, 1156, 1292, 1126, 15621, 16287, 1045, 33, 1026, 6680, 1049, 7414, 1009, 1123, 2390, 1009, 12698, 1049, 1106, 16852, 14257, 17175, 1163, 1648, 8753, 19789, 33, 1026, 20238, 1049, 25609, 6760, 1127, 169, 5045, 90, 7941, 33, 1005, 1026, 9495, 10451, 1054, 17932, 5170, 4285, 14273, 1191, 1187, 2242, 1554, 1063, 9782, 2177, 5191, 1726, 1782, 3229, 1072, 31804, 1422, 5613, 28879, 5036, 1751, 1009, 1094, 2700, 1009, 19855, 1109, 9010, 1356, 24587, 1049, 11797, 6483, 6483, 2929, 1292, 20968, 20448, 5705, 57, 1565, 2200, 9606, 5924, 1235, 8616, 1322, 1026, 2743, 1054, 31559, 20968, 1566, 18454, 1079, 1048, 2155, 8924, 1124, 6264, 9227, 1049, 13371, 1060, 30103, 1411, 1118, 4966, 1048, 1026, 9920, 29462, 1447, 6249, 8160, 75, 1132, 6709, 1059, 1165, 1272, 10740, 3141, 16731, 7260, 32, 12151, 10698, 1159, 1132, 25221, 5430, 1986, 9507, 2281, 3533, 12087, 1043, 1026, 6498, 1271, 31578, 1060, 29026, 12004, 1058, 4505, 1024, 1054, 2869, 1213, 9920, 29462, 1447, 6249, 1005, 1124, 5494, 17312, 1170, 1159, 1006, 2373, 76, 7163, 19208, 626, 1005, 2089, 1673, 1053, 6700, 1048, 17901, 1657, 1068, 2623, 1302, 1130, 1132, 16135, 8451, 1166, 1049, 1561, 11816, 1132, 11787, 1072, 25836, 1132, 2395, 1361, 1187, 11787, 1043, 1026, 7395, 5120, 1132, 2395, 1361, 1187, 11787, 1009, 3156, 75, 2037, 1132, 2395, 1361, 1043, 1132, 11787, 1009, 13586, 1124, 9524, 22535, 1060, 1264, 1459, 1049, 7395, 1876, 1060, 4630, 20, 1063, 46, 7, 11203, 1160, 2643, 11480, 1844, 2400, 1206, 2089, 7320, 1009, 14149, 4234, 1118, 8486, 31221, 1034, 9806, 1018, 2643, 1841, 1026, 1622, 1049, 9214, 1114, 5978, 1009, 1456, 3194, 1400, 13282, 1124, 6283, 1009, 14931, 2642, 1656, 4786, 1495, 1009, 11361, 1159, 7478, 5529, 3686, 2069, 1077, 3235, 1005, 25482, 1006, 13264, 2094, 1068, 1268, 17458, 1024, 1006, 4114, 3843, 2605, 1068, 1132, 8451, 1166, 1048, 8669, 1046, 1049, 9920, 29462, 22285, 3335, 9344, 32, 2373, 7754, 1006, 2742, 11480, 19208, 0, 2098, 1193, 1074, 8451, 1166, 1049, 3878, 18659, 1132, 8451, 1166, 1060, 5253, 1005, 1009, 1734, 3825, 1048, 3631, 5706, 1026, 9343, 1667, 11026, 1132, 8451, 1166, 12489, 5224, 1048, 1043, 1235, 1499, 9439, 9777, 4140, 12807, 1132, 5089, 13981, 77, 2585, 1132, 1028, 6837, 1169, 1046, 2018, 10825, 1132, 15898, 1072, 1169, 1029, 2016, 1094, 5380, 6501, 2166, 1005, 1043, 1026, 21834, 1616, 18867, 1006, 20116, 1439, 20, 2605, 1616, 1160, 9926, 1827, 5984, 1160, 1837, 4961, 20011, 1288, 1026, 1025, 1388, 1049, 2054, 7096, 1005, 1026, 10221, 1060, 14949, 3971, 1009, 3480, 626, 2276, 32, 14949, 4118, 1046, 1006, 11480, 19208, 2373, 18, 1206, 1006, 1799, 2400, 1206, 13306, 5192, 9215, 3473, 3616, 1048, 24404, 28594, 1026, 9343, 85, 1184, 6849, 14149, 4234, 1118, 8486, 31221, 1034, 1005, 1132, 2383, 1040, 1068, 1927, 2098, 9074, 1054, 1422, 6951, 17534, 1305, 16167, 1156, 5312, 10718, 9078, 20807, 7674, 23028, 6641, 1049, 2956, 6578, 3022, 3878, 4505, 3784, 24878, 2762, 12533, 7068, 11837, 6268, 9628, 21301, 6283, 6796, 9920, 29462, 18949, 1047, 2182, 11538, 7162, 2534, 9920, 29462, 22285, 3335, 1134, 4196, 29462, 1447, 6249, 1005, 1132, 25221, 5430, 11480, 1844, 2400, 1134, 25922, 6105, 1058, 7555, 30031, 9920, 29462, 22285, 3335, 1134, 25922, 1005, 1026, 9920, 29462, 22285, 3335, 5661, 23815, 19328, 20537, 29204, 23815, 19328, 30898, 2645, 26446, 15347, 1072, 3878, 3399, 1678, 20807, 23073, 11056, 2822, 1049, 9920, 29462, 22285, 3335, 1632, 1053, 1005, 1026, 9920, 29462, 22285, 3335, 2689, 30737, 17932, 23449, 23945, 1672, 4490, 15783, 3293, 20, 13915, 4676, 9203, 5292, 1163, 1170, 1678, 26103, 7980, 1060, 5827, 5751, 33, 18, 5744, 2769, 1187, 11532, 5811, 15990, 1102, 1060, 18812, 3517, 1049, 1561, 30906, 76, 1192, 18, 2188, 1523, 71, 2129, 1551, 71, 15481, 24013, 3426, 4861, 1049, 10836, 1600, 1382, 1600, 2334, 1457, 1052, 21640, 5960, 19826, 1145, 1187, 19400, 2663, 7270, 1349, 1062, 1279, 1024, 9871, 4776, 18823, 58, 9484, 14162, 1241, 18, 6610, 1009, 2773, 88, 1149, 5170, 1005, 11185, 1060, 21360, 1062, 23644, 6483, 2434, 7956, 1060, 10874, 9920, 29462, 22285, 3335, 9920, 29462, 1447, 6249, 4984, 1009, 3261, 1009, 7905, 9920, 29462, 1447, 6249, 10790, 1160, 5544, 1058, 1026, 1266, 18, 1033, 78, 73, 1005, 1006, 30103, 1411, 10502, 1067, 6199, 1672, 23389, 1577, 7377, 2456, 18, 1900, 18066, 8572, 10182, 3236, 3270, 1483, 1164, 16637, 33, 18, 15621, 16287, 3947, 1142, 9642, 10790, 2155, 24752, 6355, 2822, 1049, 9920, 29462, 22285, 3335, 10790, 10200, 1679, 9343, 1229, 1184, 2156, 9782, 1322, 2822, 1049, 9920, 29462, 22285, 3335, 4285, 14273, 1191, 1187, 11815, 1026, 23666, 1187, 8451, 2585, 23073, 18, 23073, 1168, 28127, 2743, 1049, 10836, 2434, 1632, 2334, 23073, 1717, 9920, 29462, 22285, 3335, 23073, 11056, 2822, 1049, 9920, 29462, 22285, 3335, 1132, 16135, 8451, 1166, 1049, 3878, 1132, 19811, 1072, 3878, 1766, 31826, 18113, 4452, 2434, 1632, 2334, 20238, 1049, 25609, 6760, 1127, 169, 5045, 8841, 1627, 8877, 1073, 1889, 2975, 1123, 16731, 7260, 1114, 5978, 1187, 8451, 2585, 10511, 25663, 24752, 6355, 2822, 1049, 9920, 29462, 22285, 3335, 17201, 1187, 27551, 1032, 1166, 1060, 5960, 5464, 1187, 5057, 4385, 27890, 7441, 1009, 8451, 1166, 1005, 2381, 1129, 1573, 1060, 22476, 1487, 1424, 15292, 6186, 1467, 6665, 1112, 1213, 2671, 10790, 6748, 1782, 3328, 1043, 20116, 1007, 1072, 7176, 5, 2721, 10579, 23994, 1711, 675, 2432, 96, 1078, 1252, 1759, 3402, 13443, 20380, 1479, 1063, 9738, 1213, 2671, 1049, 2670, 6891, 21274, 10790, 1060, 5827, 9564, 2256, 3328, 17200, 13095, 2277, 1006, 3780, 8123, 58, 9892, 1219, 9039, 1138, 7239, 3475, 1009, 1779, 2084, 7089, 1068, 1675, 2084, 26, 8401, 1026, 4863, 2271, 3149, 1009, 15330, 4685, 1225, 6841, 12308, 1006, 9738, 4987, 1009, 1142, 9642, 3475, 1009, 1799, 17021, 1054, 2992, 1068, 1779, 2443, 14441, 1054, 3261, 9003, 1026, 1700, 1041, 20690, 1026, 3435, 19311, 1233, 20116, 1007, 1072, 7176, 1005, 7562, 2271, 1026, 2738, 1060, 1968, 23023, 1063, 3780, 10920, 1048, 1006, 5405, 1187, 1048, 1786, 2644, 1006, 20116, 1007, 1072, 7176, 14146, 1009, 1307, 2414, 7089, 1068, 1487, 2471, 7089, 20, 5841, 1096, 1026, 5064, 15693, 1054, 2256, 2250, 1048, 4955, 6841, 1114, 6621, 1049, 2671, 1005, 1114, 9738, 1009, 10790, 24755, 1006, 20645, 1054, 6796, 1026, 6522, 1060, 3780, 1096, 1068, 1006, 25038, 1060, 4769, 20510, 12936, 21691, 18, 25659, 29235, 1230, 1009, 1142, 16242, 17630, 1083, 0, 5326, 1687, 3475, 1026, 6615, 1009, 6130, 17703, 1063, 23882, 21075, 1114, 5846, 1037, 17530, 1138, 6615, 1009, 1764, 4989, 3236, 8128, 18, 6856, 4282, 1077, 1124, 23398, 1009, 11273, 1054, 1664, 1132, 4609, 17334, 1776, 1831, 29159, 8128, 4834, 1422, 2400, 16785, 1005, 10339, 7104, 15340, 13201, 2904, 52, 47, 21, 47, 2005, 1292, 1467, 20093, 1416, 1060, 14825, 1049, 2670, 10790, 9846, 1026, 1831, 1638, 1179, 17861, 1837, 2256, 2250, 1043, 1006, 3808, 8404, 1060, 3780, 12375, 1223, 1615, 8123, 47, 21, 47, 2005, 1292, 20, 1063, 5846, 1037, 1416, 9923, 2464, 1357, 1944, 1472, 2271, 3042, 1009, 8683, 1006, 6621, 14433, 1049, 2671, 3641, 1079, 32, 1009, 22952, 8401, 1054, 13660, 1068, 11403, 10390, 1084, 21103, 1006, 9388, 152, 32, 2539, 16220, 9610, 15991, 7284, 1060, 6647, 9482, 7933, 1704, 7239, 1009, 2373, 17588, 1476, 1714, 626, 10483, 1009, 1675, 11, 1068, 15269, 1005, 1026, 1009, 5416, 18, 1009, 16554, 1068, 2971, 10390, 5153, 1026, 1700, 1041, 20690, 1006, 9738, 1213, 2671, 3641, 1079, 1009, 1799, 17021, 1068, 1779, 15795, 11499, 1020, 3328, 1349, 2097, 1006, 27060, 6474, 1112, 1195, 1009, 2322, 11, 1068, 1204, 11, 18193, 1060, 25897, 1462, 2528, 16370, 8356, 1048, 1132, 2050, 21050, 6659, 18409, 11640, 24203, 32, 1026, 18586, 1096, 10492, 1054, 1664, 1132, 16169, 5365, 3983, 1063, 6347, 4612, 22509, 1233, 6496, 1195, 1009, 9160, 26, 1479, 12854, 14852, 1054, 2869, 1213, 9160, 30, 3388, 1533, 14825, 11184, 1009, 1142, 9642, 1048, 16651, 8812, 1054, 13660, 1195, 1090, 1662, 23091, 1006, 6992, 1072, 2670, 9564, 1009, 20169, 1068, 21482, 10390, 1063, 22923, 4909, 14146, 1009, 1578, 11, 1068, 3404, 10390, 11090, 1026, 2277, 30929, 1422, 13842, 1071, 1975, 9328, 9395, 25293, 12271, 1054, 2869, 1213, 1831, 1005, 1578, 11, 2149, 13842, 1054, 3049, 15, 3429, 1648, 1048, 5756, 20116, 1007, 1704, 1156, 2005, 1292, 7351, 4004, 1254, 24, 1783, 1054, 2322, 26, 2727, 4261, 1365, 1132, 2250, 2475, 1005, 1984, 1009, 3261, 20, 1063, 9130, 1009, 3481, 1096, 1009, 1791, 3328, 2098, 15037, 71, 7544, 15300, 1107, 1318, 19970, 1072, 3810, 1531, 1158, 21103, 6841, 12496, 1233, 1049, 1156, 2005, 10251, 1309, 2444, 19548, 1140, 1479, 1006, 9738, 1213, 2671, 1198, 1399, 9219, 1009, 6617, 8401, 1054, 3113, 1009, 7624, 1068, 1675, 7089, 1533, 19934, 2956, 3141, 16731, 7260, 32, 2656, 3012, 1178, 1213, 7462, 20, 1138, 2671, 29254, 1118, 4810, 1463, 3540, 1929, 1580, 1213, 6942, 1233, 31232, 1195, 11678, 4255, 1511, 1132, 6709, 1596, 13898, 1402, 1054, 6823, 1159, 1072, 2535, 31441, 1870, 1005, 1846, 9246, 1079, 1026, 7357, 1213, 1592, 1557, 1054, 1048, 11496, 3089, 1589, 1132, 6709, 1006, 1160, 9364, 4465, 1704, 2339, 1026, 2116, 3858, 4337, 1048, 1118, 6529, 1060, 6647, 4292, 1094, 3568, 1009, 9789, 10963, 1048, 18158, 1026, 20042, 1005, 3068, 4380, 1318, 1026, 2671, 29254, 1068, 1460, 8607, 1482, 2869, 1006, 25038, 10339, 7104, 1160, 13122, 1048, 1687, 1054, 4384, 3241, 1169, 9530, 1069, 26930, 6119, 1063, 23882, 3241, 10578, 2270, 1138, 6615, 1946, 1243, 1160, 5103, 4805, 22955, 18, 1005, 1235, 9568, 1620, 1096, 5437, 4475, 8128, 1620, 6133, 1114, 3349, 1005, 1213, 1048, 3449, 18, 8285, 1118, 1493, 1557, 1620, 33, 1160, 4800, 13101, 1048, 12936, 1566, 1325, 1054, 4600, 2098, 9074, 1054, 9078, 20807, 4447, 2648, 4678, 18586, 1915, 9086, 3878, 24878, 2762, 12533, 7068, 22059, 1324, 5132, 2571, 13824, 2469, 6647, 13485, 10164, 1072, 3878, 6647, 1072, 3878, 2263, 5541, 1054, 30998, 21301, 6283, 6796, 1134, 25922, 32, 6647, 2155, 10596, 1009, 1871, 29809, 2774, 18, 5661, 14966, 1114, 1163, 11077, 1142, 9642, 1142, 59, 1226, 1005, 1006, 4114, 2485, 3399, 1678, 20807, 6388, 1026, 26123, 13347, 12349, 24878, 2762, 2689, 30737, 23945, 1672, 8128, 1762, 1553, 1114, 9436, 8128, 32, 2671, 10790, 1381, 2444, 1049, 1048, 2168, 2339, 1313, 1259, 2263, 5541, 20, 13915, 4676, 1779, 2084, 1063, 23882, 9031, 1400, 1063, 23882, 21075, 4082, 1068, 10339, 7104, 1063, 6665, 1112, 1213, 2671, 10790, 6748, 1782, 12625, 9738, 1009, 10790, 1054, 27923, 7239, 1009, 7732, 21017, 1714, 8, 10483, 18, 8123, 47, 21, 47, 2005, 10251, 8123, 11151, 8123, 58, 9892, 1219, 3662, 12936, 21691, 18, 12936, 1288, 1324, 6283, 6796, 6615, 1009, 6130, 17703, 10790, 6748, 2256, 12625, 10790, 9846, 1026, 1831, 1638, 1179, 1056, 3426, 1449, 1078, 6284, 25038, 1060, 4769, 20510, 1026, 4863, 2271, 3149, 1009, 15330, 18, 15411, 3780, 8123, 58, 9892, 1219, 3662, 20116, 1007, 1072, 7176, 1381, 10790 ]

[ 1054, 3349, 1213, 15321, 1049, 12318, 9718, 14176, 5326, 14190, 1412, 1124, 12749, 1009, 11423, 1005, 16295, 1309, 1318, 2089, 23339, 1005, 7352, 1229, 3168, 1077, 6353, 1005, 3396, 12192, 1596, 14579, 1533, 2195, 30389, 3536, 1049, 8946, 91, 25445, 21233, 1072, 1531, 3295, 1009, 13660, 1006, 2323, 1271, 1158, 2975, 1072, 25445, 10426, 1009, 4948, 9233, 1411, 5062, 1114, 4223, 56, 2595, 23, 3590, 79, 5831, 1096, 2218, 22104, 14178, 18, 8271, 5923, 1005, 10451, 1054, 7925, 31223, 6472, 1751, 1049, 4478, 2505, 1525, 12065, 1005, 1325, 4553, 1356, 30244, 6686, 2275, 1, 1119, 1157, 1132, 4181, 10328, 1114, 15858, 1049, 8190, 20, 1175, 9597, 3295, 2995, 88, 6369, 14615, 8149, 1063, 1385, 7240, 19177, 3430, 3670, 1318, 1050, 1803, 1005, 1048, 17597, 4230, 8633, 1021, 19539, 1589, 37, 5011, 1836, 8505, 3971, 4313, 3590, 1189, 1589, 14615, 8149, 1063, 1385, 7240, 19177, 2337, 3008, 21539, 4969, 29278, 10055, 17597, 19539, 1589, 2998, 5296, 14015, 1160, 11879, 1419, 3192, 1006, 1160, 1178, 21924, 3004, 3226, 4801, 5865, 1048, 5948, 1030, 1393, 1028, 1701, 1599, 2122, 3349, 18287, 15954, 9454, 1118, 2307, 2364, 7, 5161, 1738, 1075, 2583, 30760, 1093, 1357, 18198, 1976, 1178, 1493, 9587, 9549, 5122, 1052, 1048, 1026, 8190, 5553, 1680, 19044, 1118, 5948, 1962, 1048, 1299, 22655, 13699, 3590, 1189, 1589, 14615, 8149, 1063, 1385, 7240, 19177, 3459, 2995, 88, 6369, 29278, 2654, 1318, 1050, 1803, 1005, 1048, 17597, 4230, 8633, 1021, 19539, 1589, 37, 5011, 1836, 8505, 3971, 4313, 21761, 6071, 1309, 1989, 2277, 14299, 16743, 1005, 12720, 1622, 1663, 2653, 9069, 6383, 88, 6369, 14615, 8149, 1063, 1385, 7240, 19177, 5784, 21216, 17876, 17332, 1357, 3349, 1184, 1094, 19701, 1009, 1151, 1606, 1041, 1870, 1449, 5920, 3056, 1198, 25761, 1394, 1009, 1050, 2087, 1093, 1005, 2410, 175, 19086, 1044, 1043, 3438, 1054, 12673, 1318, 1044, 14990, 11287, 1210, 1637, 1005, 3225, 1049, 1638, 1072, 25546, 7277, 27337, 1989, 1852, 1009, 1901, 1005, 1072, 2738, 1049, 3867, 1124, 18674, 1327, 2764, 7332, 7, 2503, 1189, 1589, 6202, 1782, 1063, 1385, 7240, 16819, 5402, 3996, 1280, 6070, 58, 3692, 19177, 2721, 1797, 8535, 20, 30134, 8175, 32, 1779, 13842, 6767, 1479, 2350, 21924, 1479, 1205, 1147, 9787, 1344, 83, 11482, 1084, 1175, 18438, 20, 2224, 1062, 2324, 1220, 1278, 1094, 6222, 1463, 21924, 1323, 6676, 1079, 10698, 1006, 3054, 6142, 1365, 1006, 18198, 1005, 30760, 9039, 2605, 1043, 1006, 18198, 1496, 6151, 3404, 117, 1009, 4464, 1005, 30760, 1093, 2475, 117, 1184, 4885, 1072, 19890, 8223, 1533, 29574, 1112, 1096, 1009, 1422, 7872, 1005, 1006, 18198, 1294, 4277, 6151, 2182, 11, 1009, 1224, 10764, 10672, 1140, 1356, 4153, 18, 19878, 1068, 1006, 26136, 8071, 22178, 3004, 1114, 20593, 1009, 23768, 20, 4490, 18201, 19131, 1096, 1009, 1175, 3218, 12599, 1005, 1325, 1006, 1094, 5514, 1009, 10070, 3218, 25, 3459, 2718, 1060, 26136, 6836, 1009, 8616, 1184, 7850, 3004, 1049, 1048, 23227, 3925, 1089, 1026, 29358, 4479, 1699, 4202, 1054, 1101, 1114, 8323, 13008, 42, 7254, 8905, 17243, 2739, 1271, 3512, 1184, 1448, 3716, 1327, 1737, 14050, 1309, 4697, 31374, 1007, 24166, 1126, 4581, 1206, 1543, 11799, 1138, 5804, 1060, 18198, 1058, 25321, 71, 1072, 8190, 1060, 3696, 1005, 1298, 1178, 9876, 1006, 4350, 1169, 5165, 3567, 1424, 1026, 9772, 1006, 9787, 8469, 11482, 1325, 11246, 10698, 1043, 1026, 23937, 17911, 1005, 4202, 1006, 8626, 1195, 2693, 1043, 1026, 5915, 3499, 1382, 1048, 28834, 1069, 1213, 10580, 158, 5658, 2444, 1043, 1006, 26341, 1056, 2275, 14176, 1871, 11879, 10698, 1048, 1026, 3501, 1348, 3004, 5103, 1359, 4975, 1026, 1570, 1049, 1144, 1414, 2495, 1213, 25821, 2739, 31374, 1170, 1327, 24332, 1054, 4188, 1213, 23464, 3821, 29574, 3144, 1063, 3184, 1026, 6522, 1327, 1124, 31374, 1170, 2505, 3783, 1005, 1207, 1421, 1075, 1400, 2237, 5836, 1549, 1043, 1224, 13859, 8223, 10672, 1140, 1356, 19918, 16648, 2453, 1060, 10764, 2204, 25932, 3590, 1189, 1589, 15841, 2224, 1063, 1385, 7240, 1204, 29435, 1605, 8358, 12019, 3054, 6142, 1072, 8190, 8067, 1006, 18198, 11214, 1365, 1006, 8569, 2478, 1961, 1114, 20593, 1009, 23768, 1005, 1026, 10202, 10890, 16901, 6383, 88, 6369, 15841, 2224, 1063, 1385, 7240, 16819, 3949, 1605, 81, 19539, 6277, 1096, 1094, 4123, 1005, 26930, 1005, 7575, 1044, 5915, 3499, 1382, 1006, 3357, 2288, 3870, 71, 1114, 16251, 1058, 10920, 12248, 21481, 1140, 1717, 1026, 8190, 1009, 20005, 1005, 30343, 1157, 31374, 1170, 1213, 3821, 1049, 3501, 8341, 17730, 13612, 1371, 1054, 5281, 2478, 1145, 1005, 10890, 16901, 14360, 1044, 1415, 19681, 1006, 8100, 1005, 1006, 8223, 1060, 1541, 1377, 675, 140, 83, 6482, 1062, 1893, 1707, 1096, 13288, 14222, 1159, 1094, 11486, 21250, 1206, 1094, 4671, 1309, 1680, 5255, 1140, 5938, 3119, 1040, 8, 1009, 7481, 1728, 1063, 16872, 1328, 1009, 1180, 168, 1242, 9921, 1107, 1072, 19890, 2709, 4134, 1769, 1553, 1009, 12124, 4953, 11213, 1077, 3994, 1043, 1026, 16895, 1049, 7247, 1005, 7024, 1049, 16130, 26737, 12241, 6434, 1005, 4983, 17970, 1563, 3572, 7651, 1044, 5620, 4774, 1009, 18250, 18024, 1090, 1623, 4846, 1063, 15252, 1005, 1006, 8223, 1009, 15034, 1130, 1026, 1150, 1165, 13194, 7733, 1049, 2258, 2262, 8, 4277, 1371, 13288, 30343, 1069, 1005, 10099, 12018, 1717, 1124, 1098, 1135, 1037, 2445, 22555, 1049, 28708, 2013, 6619, 8523, 3179, 1048, 1098, 1139, 1878, 18018, 1009, 11726, 3938, 1005, 10036, 7, 2503, 1189, 1589, 15841, 2224, 1063, 1385, 7240, 18061, 2830, 3576, 1029, 1418, 10660, 7, 3713, 1973, 9613, 1044, 2631, 5915, 3499, 1382, 3552, 3696, 1009, 8190, 19044, 1096, 1044, 14606, 13445, 12010, 23524, 9587, 5817, 1068, 1058, 10698, 5653, 3530, 2250, 1026, 9772, 1225, 6414, 1122, 1069, 2348, 10909, 1309, 1592, 1992, 1323, 7383, 79, 3822, 1043, 1026, 1158, 94, 2704, 3812, 2558, 1221, 6635, 7, 2995, 88, 6369, 14615, 2182, 1063, 1385, 7240, 11425, 1404, 1383, 1020, 1048, 30221, 1679, 27655, 28914, 4666, 12786, 1322, 1159, 2997, 1132, 4181, 10328, 1114, 15858, 1049, 8190, 20, 23721, 19539, 6277, 1989, 12786, 5447, 1118, 1299, 1195, 1026, 6635, 1009, 14991, 2307, 1072, 18839, 7, 2503, 1189, 1589, 14615, 2182, 1063, 1385, 7240, 11425, 5235, 22157, 12786, 1195, 5447, 1657, 1068, 1048, 1503, 10030, 21287, 1124, 15494, 1005, 28060, 1048, 9470, 1213, 10205, 1930, 1043, 3790, 1049, 1063, 9472, 4666, 1784, 2072, 28821, 1048, 1096, 1006, 8398, 23197, 2275, 2605, 1264, 11032, 1734, 12477, 1229, 1005, 1463, 8060, 8098, 1048, 5036, 1751, 9849, 10045, 1508, 2739, 2266, 1322, 2539, 10022, 8042, 1006, 15858, 5222, 1672, 1867, 8424, 6081, 3318, 1223, 1400, 7088, 1134, 1221, 1493, 5450, 1048, 1264, 3241, 3412, 1188, 3360, 1006, 3311, 1009, 1178, 1026, 11302, 1291, 1009, 17603, 1049, 21968, 20, 1084, 3587, 1118, 3291, 1048, 1783, 1009, 2539, 6453, 1049, 5108, 1058, 7697, 1412, 11509, 1322, 4859, 6941, 10328, 20700, 6696, 1006, 1664, 1048, 4871, 1202, 1043, 1989, 12786, 5735, 21539, 4969, 6202, 2128, 1063, 1385, 7240, 3404, 29435, 1576, 1275, 1672, 6178, 1160, 4126, 72, 5984, 1309, 1503, 2449, 1044, 4861, 32, 6408, 1593, 1209, 1075, 4418, 20, 23617, 17667, 3670, 3179, 1160, 4515, 1393, 1264, 2340, 3179, 2598, 7924, 6277, 1309, 2364, 5381, 1077, 16713, 1184, 3469, 26560, 1278, 1715, 3735, 1503, 5501, 2637, 2017, 9215, 10657, 11809, 2307, 2995, 88, 6369, 6202, 4984, 1063, 1385, 7240, 2475, 5207, 3008, 22353, 4782, 1273, 1566, 1325, 1365, 1132, 4859, 3653, 7010, 2947, 3877, 1009, 10201, 7, 2995, 88, 6369, 6202, 4984, 1063, 1385, 7240, 2475, 25953, 4935, 2934, 1094, 3593, 2869, 1009, 6081, 1068, 4207, 31203, 1043, 1026, 12906, 1009, 5915, 168, 3085, 1229, 1651, 2644, 32, 10736, 1024, 2973, 1040, 1136, 90, 3294, 14924, 1047, 17667, 1362, 1420, 21, 22563, 8709, 21, 1218, 2530, 19, 1593, 12555, 21, 9188, 9855, 21, 3612, 30, 19, 1193, 9619, 3577, 1045, 8993, 9592, 11286, 5201, 19, 2018, 5594, 1021, 19506, 8018, 80, 6142, 6171, 25320, 4134, 1065, 16901, 5537, 2634, 3008, 21539, 4969, 4660, 10535, 3422, 7240, 18061, 4406, 1940, 1127, 1668, 6083, 3987, 12019, 3054, 6142, 1048, 7704, 1178, 4350, 3004, 1986, 1026, 1901, 1041, 5294, 3021, 1421, 25320, 1006, 7116, 1054, 6544, 1060, 18198, 1005, 10890, 16901, 1006, 8643, 1054, 6544, 1060, 18198, 1059, 4665, 24, 9237, 25774, 21, 88, 21, 12325, 1053, 15290, 21, 9237, 5402, 25, 21, 5861, 11748, 11482, 31015, 2567, 20943, 5, 1017, 82, 1157, 15841, 9842, 3422, 7240, 12150, 4059, 5, 72, 1623, 4137, 11069, 7, 2503, 1189, 1589, 15841, 9842, 3422, 7240, 12150, 2704, 2503, 1189, 1589, 15841, 9842, 3422, 7240, 21368, 1839, 11933, 16389, 1060, 18614, 1060, 18198, 1195, 3330, 1043, 2068, 1054, 5795, 1009, 3596, 9425, 1060, 7430, 1694, 1142, 3831, 1059, 11612, 27453, 90, 1078, 1032, 1468, 17667, 10965, 17464, 21, 3612, 26, 3840, 19, 9322, 1609, 10828, 1196, 5537, 2634, 3752, 1401, 1713, 19, 1266, 19, 1053, 2001, 21052, 19, 1135, 1694, 5537, 3831, 10491, 2577, 1112, 1009, 30760, 1093, 1043, 1026, 5083, 1095, 1032, 1328, 8, 1205, 1483, 1051, 6383, 88, 6369, 6202, 2224, 3422, 7240, 16819, 3851, 10491, 1443, 1343, 32, 15858, 1009, 2033, 2445, 18471, 1054, 1050, 2087, 1093, 7358, 1280, 32, 15433, 2721, 21, 7270, 18061, 2721, 7133, 1042, 3287, 1147, 32, 14755, 26526, 1205, 1483, 1051, 6617, 10377, 1134, 1839, 1531, 76, 3668, 83, 1069, 1704, 7221, 32, 1782, 10377, 1071, 4700, 94, 15, 1005, 1313, 39, 1955, 12121, 1117, 1675, 10377, 17246, 0, 2149, 3487, 94, 3377, 12701, 5982, 32, 11528, 11412, 1047, 3507, 1797, 8535, 1887, 26566, 25849, 32, 21467, 6275, 8401, 1225, 4589, 3295, 0, 18, 3910, 1090, 9962, 1006, 25279, 26472, 1272, 1957, 2014, 1091, 3121, 1233, 6167, 11332, 1322, 1026, 19890, 8100, 28174, 1009, 2971, 0, 1349, 13873, 11029, 11216, 20700, 2577, 1024, 1050, 2087, 1093, 4885, 1072, 19890, 1043, 1044, 10833, 24166, 85, 1160, 1096, 8161, 20458, 25894, 1026, 2279, 1032, 1328, 3778, 2453, 1187, 1456, 8654, 1184, 1094, 1472, 1323, 6676, 1079, 4601, 1043, 21940, 2800, 1050, 2087, 1093, 1096, 1044, 10202, 1493, 7850, 1503, 7349, 1036, 21151, 8, 1026, 1134, 1049, 2279, 1032, 1328, 1068, 31387, 3033, 1006, 1345, 1014, 1582, 1011, 2431, 7989, 7575, 1006, 3486, 27895, 1049, 21514, 1043, 1026, 1380, 16372, 5046, 6888, 1159, 1531, 76, 3668, 7104, 1005, 1026, 3435, 1195, 1026, 10474, 11184, 1009, 1050, 2087, 1093, 1680, 30343, 1069, 1005, 1305, 1132, 11347, 1010, 1049, 24681, 9190, 11676, 3735, 6715, 1043, 1026, 1235, 4465, 8937, 1071, 4700, 94, 15, 1989, 2217, 26526, 7455, 6885, 2691, 4601, 1150, 2162, 5616, 1406, 1005, 1592, 1043, 3114, 94, 1124, 4601, 11640, 1033, 1130, 2040, 20, 1063, 7461, 1049, 11985, 11528, 19, 3363, 3507, 1657, 9121, 1006, 1419, 1043, 1184, 6553, 5068, 1006, 1871, 1049, 3591, 7043, 12514, 1213, 10474, 1049, 5804, 2693, 1006, 2413, 9662, 1049, 2282, 2005, 1836, 1043, 1026, 1155, 3921, 1136, 1493, 14481, 27698, 1592, 1044, 1305, 1031, 30451, 24166, 85, 1118, 2693, 2122, 2413, 2175, 1377, 1424, 2475, 28, 94, 1009, 2395, 1361, 2693, 1006, 2413, 5046, 1049, 10202, 3572, 2923, 1448, 2140, 7830, 1005, 1009, 2596, 14088, 3424, 15278, 1177, 1178, 9406, 11390, 1048, 1890, 1026, 1531, 1026, 2279, 1032, 1328, 1043, 19845, 94, 5115, 150, 13699, 1853, 3530, 1448, 2140, 73, 2130, 1114, 10587, 1009, 21924, 1054, 1050, 2087, 9039, 5841, 1160, 1195, 1006, 1944, 1472, 1048, 3249, 1089, 3592, 2369, 25301, 5973, 1072, 8575, 1365, 1006, 2413, 5046, 1049, 10202, 1005, 1026, 2282, 72, 1100, 3587, 1511, 1050, 2087, 1093, 1058, 4277, 1043, 1026, 5203, 1009, 1044, 3412, 6633, 1128, 21151, 19414, 1006, 24991, 1005, 22796, 71, 1150, 27074, 26864, 1893, 8, 1309, 1195, 1054, 1050, 1627, 1566, 1048, 1006, 1853, 9209, 1068, 1616, 1096, 1511, 1050, 2087, 1093, 1058, 4955, 1159, 1044, 1807, 1005, 27455, 11184, 3590, 1189, 1589, 1633, 79, 3186, 2228, 7240, 21605, 3989, 3996, 1280, 4509, 58, 3692, 21605, 3665, 1479, 9801, 5207, 6070, 58, 1308, 8849, 3287, 1147, 32, 14755, 26526, 6617, 9599, 1134, 7447, 1479, 5578, 1637, 1158, 9599, 1005, 1782, 10377, 2536, 16327, 1097, 1382, 15232, 1814, 1158, 94, 2704, 3008, 2634, 1946, 1103, 1526, 1043, 5293, 1009, 15892, 9621, 7872, 1005, 1225, 1799, 18231, 1009, 1224, 10764, 10672, 1140, 1356, 4153, 19878, 1068, 1006, 26843, 8071, 22178, 1006, 6151, 3295, 675, 0, 1009, 4464, 1072, 19890, 15252, 20, 1084, 4666, 1531, 6133, 1058, 23986, 1072, 30787, 1707, 1026, 21282, 1134, 1087, 1425, 1038, 1065, 1020, 2645, 14611, 1300, 1434, 29574, 1024, 1009, 1124, 1292, 1066, 8425, 2457, 1048, 1058, 11089, 1322, 21695, 2718, 1049, 3184, 1213, 3821, 1005, 17395, 2718, 1009, 8100, 1068, 8223, 1049, 13819, 28927, 14222, 15, 1063, 24329, 1371, 1159, 1094, 5813, 1517, 1236 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1054, 3349, 1213, 15321, 1049, 12318, 9718, 14176, 5326, 14190, 1412, 1124, 12749, 1009, 11423, 1005, 16295, 1309, 1318, 2089, 23339, 1005, 7352, 1229, 3168, 1077, 6353, 1005, 3396, 12192, 1596, 14579, 1533, 2195, 30389, 3536, 1049, 8946, 91, 25445, 21233, 1072, 1531, 3295, 1009, 13660, 1006, 2323, 1271, 1158, 2975, 1072, 25445, 10426, 1009, 4948, 9233, 1411, 5062, 1114, 4223, 56, 2595, 23, 3590, 79, 5831, 1096, 2218, 22104, 14178, 18, 8271, 5923, 1005, 10451, 1054, 7925, 31223, 6472, 1751, 1049, 4478, 2505, 1525, 12065, 1005, 1325, 4553, 1356, 30244, 6686, 2275, 1, 1119, 1157, 1132, 4181, 10328, 1114, 15858, 1049, 8190, 20, 1175, 9597, 3295, 2995, 88, 6369, 14615, 8149, 1063, 1385, 7240, 19177, 3430, 3670, 1318, 1050, 1803, 1005, 1048, 17597, 4230, 8633, 1021, 19539, 1589, 37, 5011, 1836, 8505, 3971, 4313, 3590, 1189, 1589, 14615, 8149, 1063, 1385, 7240, 19177, 2337, 3008, 21539, 4969, 29278, 10055, 17597, 19539, 1589, 2998, 5296, 14015, 1160, 11879, 1419, 3192, 1006, 1160, 1178, 21924, 3004, 3226, 4801, 5865, 1048, 5948, 1030, 1393, 1028, 1701, 1599, 2122, 3349, 18287, 15954, 9454, 1118, 2307, 2364, 7, 5161, 1738, 1075, 2583, 30760, 1093, 1357, 18198, 1976, 1178, 1493, 9587, 9549, 5122, 1052, 1048, 1026, 8190, 5553, 1680, 19044, 1118, 5948, 1962, 1048, 1299, 22655, 13699, 3590, 1189, 1589, 14615, 8149, 1063, 1385, 7240, 19177, 3459, 2995, 88, 6369, 29278, 2654, 1318, 1050, 1803, 1005, 1048, 17597, 4230, 8633, 1021, 19539, 1589, 37, 5011, 1836, 8505, 3971, 4313, 21761, 6071, 1309, 1989, 2277, 14299, 16743, 1005, 12720, 1622, 1663, 2653, 9069, 6383, 88, 6369, 14615, 8149, 1063, 1385, 7240, 19177, 5784, 21216, 17876, 17332, 1357, 3349, 1184, 1094, 19701, 1009, 1151, 1606, 1041, 1870, 1449, 5920, 3056, 1198, 25761, 1394, 1009, 1050, 2087, 1093, 1005, 2410, 175, 19086, 1044, 1043, 3438, 1054, 12673, 1318, 1044, 14990, 11287, 1210, 1637, 1005, 3225, 1049, 1638, 1072, 25546, 7277, 27337, 1989, 1852, 1009, 1901, 1005, 1072, 2738, 1049, 3867, 1124, 18674, 1327, 2764, 7332, 7, 2503, 1189, 1589, 6202, 1782, 1063, 1385, 7240, 16819, 5402, 3996, 1280, 6070, 58, 3692, 19177, 2721, 1797, 8535, 20, 30134, 8175, 32, 1779, 13842, 6767, 1479, 2350, 21924, 1479, 1205, 1147, 9787, 1344, 83, 11482, 1084, 1175, 18438, 20, 2224, 1062, 2324, 1220, 1278, 1094, 6222, 1463, 21924, 1323, 6676, 1079, 10698, 1006, 3054, 6142, 1365, 1006, 18198, 1005, 30760, 9039, 2605, 1043, 1006, 18198, 1496, 6151, 3404, 117, 1009, 4464, 1005, 30760, 1093, 2475, 117, 1184, 4885, 1072, 19890, 8223, 1533, 29574, 1112, 1096, 1009, 1422, 7872, 1005, 1006, 18198, 1294, 4277, 6151, 2182, 11, 1009, 1224, 10764, 10672, 1140, 1356, 4153, 18, 19878, 1068, 1006, 26136, 8071, 22178, 3004, 1114, 20593, 1009, 23768, 20, 4490, 18201, 19131, 1096, 1009, 1175, 3218, 12599, 1005, 1325, 1006, 1094, 5514, 1009, 10070, 3218, 25, 3459, 2718, 1060, 26136, 6836, 1009, 8616, 1184, 7850, 3004, 1049, 1048, 23227, 3925, 1089, 1026, 29358, 4479, 1699, 4202, 1054, 1101, 1114, 8323, 13008, 42, 7254, 8905, 17243, 2739, 1271, 3512, 1184, 1448, 3716, 1327, 1737, 14050, 1309, 4697, 31374, 1007, 24166, 1126, 4581, 1206, 1543, 11799, 1138, 5804, 1060, 18198, 1058, 25321, 71, 1072, 8190, 1060, 3696, 1005, 1298, 1178, 9876, 1006, 4350, 1169, 5165, 3567, 1424, 1026, 9772, 1006, 9787, 8469, 11482, 1325, 11246, 10698, 1043, 1026, 23937, 17911, 1005, 4202, 1006, 8626, 1195, 2693, 1043, 1026, 5915, 3499, 1382, 1048, 28834, 1069, 1213, 10580, 158, 5658, 2444, 1043, 1006, 26341, 1056, 2275, 14176, 1871, 11879, 10698, 1048, 1026, 3501, 1348, 3004, 5103, 1359, 4975, 1026, 1570, 1049, 1144, 1414, 2495, 1213, 25821, 2739, 31374, 1170, 1327, 24332, 1054, 4188, 1213, 23464, 3821, 29574, 3144, 1063, 3184, 1026, 6522, 1327, 1124, 31374, 1170, 2505, 3783, 1005, 1207, 1421, 1075, 1400, 2237, 5836, 1549, 1043, 1224, 13859, 8223, 10672, 1140, 1356, 19918, 16648, 2453, 1060, 10764, 2204, 25932, 3590, 1189, 1589, 15841, 2224, 1063, 1385, 7240, 1204, 29435, 1605, 8358, 12019, 3054, 6142, 1072, 8190, 8067, 1006, 18198, 11214, 1365, 1006, 8569, 2478, 1961, 1114, 20593, 1009, 23768, 1005, 1026, 10202, 10890, 16901, 6383, 88, 6369, 15841, 2224, 1063, 1385, 7240, 16819, 3949, 1605, 81, 19539, 6277, 1096, 1094, 4123, 1005, 26930, 1005, 7575, 1044, 5915, 3499, 1382, 1006, 3357, 2288, 3870, 71, 1114, 16251, 1058, 10920, 12248, 21481, 1140, 1717, 1026, 8190, 1009, 20005, 1005, 30343, 1157, 31374, 1170, 1213, 3821, 1049, 3501, 8341, 17730, 13612, 1371, 1054, 5281, 2478, 1145, 1005, 10890, 16901, 14360, 1044, 1415, 19681, 1006, 8100, 1005, 1006, 8223, 1060, 1541, 1377, 675, 140, 83, 6482, 1062, 1893, 1707, 1096, 13288, 14222, 1159, 1094, 11486, 21250, 1206, 1094, 4671, 1309, 1680, 5255, 1140, 5938, 3119, 1040, 8, 1009, 7481, 1728, 1063, 16872, 1328, 1009, 1180, 168, 1242, 9921, 1107, 1072, 19890, 2709, 4134, 1769, 1553, 1009, 12124, 4953, 11213, 1077, 3994, 1043, 1026, 16895, 1049, 7247, 1005, 7024, 1049, 16130, 26737, 12241, 6434, 1005, 4983, 17970, 1563, 3572, 7651, 1044, 5620, 4774, 1009, 18250, 18024, 1090, 1623, 4846, 1063, 15252, 1005, 1006, 8223, 1009, 15034, 1130, 1026, 1150, 1165, 13194, 7733, 1049, 2258, 2262, 8, 4277, 1371, 13288, 30343, 1069, 1005, 10099, 12018, 1717, 1124, 1098, 1135, 1037, 2445, 22555, 1049, 28708, 2013, 6619, 8523, 3179, 1048, 1098, 1139, 1878, 18018, 1009, 11726, 3938, 1005, 10036, 7, 2503, 1189, 1589, 15841, 2224, 1063, 1385, 7240, 18061, 2830, 3576, 1029, 1418, 10660, 7, 3713, 1973, 9613, 1044, 2631, 5915, 3499, 1382, 3552, 3696, 1009, 8190, 19044, 1096, 1044, 14606, 13445, 12010, 23524, 9587, 5817, 1068, 1058, 10698, 5653, 3530, 2250, 1026, 9772, 1225, 6414, 1122, 1069, 2348, 10909, 1309, 1592, 1992, 1323, 7383, 79, 3822, 1043, 1026, 1158, 94, 2704, 3812, 2558, 1221, 6635, 7, 2995, 88, 6369, 14615, 2182, 1063, 1385, 7240, 11425, 1404, 1383, 1020, 1048, 30221, 1679, 27655, 28914, 4666, 12786, 1322, 1159, 2997, 1132, 4181, 10328, 1114, 15858, 1049, 8190, 20, 23721, 19539, 6277, 1989, 12786, 5447, 1118, 1299, 1195, 1026, 6635, 1009, 14991, 2307, 1072, 18839, 7, 2503, 1189, 1589, 14615, 2182, 1063, 1385, 7240, 11425, 5235, 22157, 12786, 1195, 5447, 1657, 1068, 1048, 1503, 10030, 21287, 1124, 15494, 1005, 28060, 1048, 9470, 1213, 10205, 1930, 1043, 3790, 1049, 1063, 9472, 4666, 1784, 2072, 28821, 1048, 1096, 1006, 8398, 23197, 2275, 2605, 1264, 11032, 1734, 12477, 1229, 1005, 1463, 8060, 8098, 1048, 5036, 1751, 9849, 10045, 1508, 2739, 2266, 1322, 2539, 10022, 8042, 1006, 15858, 5222, 1672, 1867, 8424, 6081, 3318, 1223, 1400, 7088, 1134, 1221, 1493, 5450, 1048, 1264, 3241, 3412, 1188, 3360, 1006, 3311, 1009, 1178, 1026, 11302, 1291, 1009, 17603, 1049, 21968, 20, 1084, 3587, 1118, 3291, 1048, 1783, 1009, 2539, 6453, 1049, 5108, 1058, 7697, 1412, 11509, 1322, 4859, 6941, 10328, 20700, 6696, 1006, 1664, 1048, 4871, 1202, 1043, 1989, 12786, 5735, 21539, 4969, 6202, 2128, 1063, 1385, 7240, 3404, 29435, 1576, 1275, 1672, 6178, 1160, 4126, 72, 5984, 1309, 1503, 2449, 1044, 4861, 32, 6408, 1593, 1209, 1075, 4418, 20, 23617, 17667, 3670, 3179, 1160, 4515, 1393, 1264, 2340, 3179, 2598, 7924, 6277, 1309, 2364, 5381, 1077, 16713, 1184, 3469, 26560, 1278, 1715, 3735, 1503, 5501, 2637, 2017, 9215, 10657, 11809, 2307, 2995, 88, 6369, 6202, 4984, 1063, 1385, 7240, 2475, 5207, 3008, 22353, 4782, 1273, 1566, 1325, 1365, 1132, 4859, 3653, 7010, 2947, 3877, 1009, 10201, 7, 2995, 88, 6369, 6202, 4984, 1063, 1385, 7240, 2475, 25953, 4935, 2934, 1094, 3593, 2869, 1009, 6081, 1068, 4207, 31203, 1043, 1026, 12906, 1009, 5915, 168, 3085, 1229, 1651, 2644, 32, 10736, 1024, 2973, 1040, 1136, 90, 3294, 14924, 1047, 17667, 1362, 1420, 21, 22563, 8709, 21, 1218, 2530, 19, 1593, 12555, 21, 9188, 9855, 21, 3612, 30, 19, 1193, 9619, 3577, 1045, 8993, 9592, 11286, 5201, 19, 2018, 5594, 1021, 19506, 8018, 80, 6142, 6171, 25320, 4134, 1065, 16901, 5537, 2634, 3008, 21539, 4969, 4660, 10535, 3422, 7240, 18061, 4406, 1940, 1127, 1668, 6083, 3987, 12019, 3054, 6142, 1048, 7704, 1178, 4350, 3004, 1986, 1026, 1901, 1041, 5294, 3021, 1421, 25320, 1006, 7116, 1054, 6544, 1060, 18198, 1005, 10890, 16901, 1006, 8643, 1054, 6544, 1060, 18198, 1059, 4665, 24, 9237, 25774, 21, 88, 21, 12325, 1053, 15290, 21, 9237, 5402, 25, 21, 5861, 11748, 11482, 31015, 2567, 20943, 5, 1017, 82, 1157, 15841, 9842, 3422, 7240, 12150, 4059, 5, 72, 1623, 4137, 11069, 7, 2503, 1189, 1589, 15841, 9842, 3422, 7240, 12150, 2704, 2503, 1189, 1589, 15841, 9842, 3422, 7240, 21368, 1839, 11933, 16389, 1060, 18614, 1060, 18198, 1195, 3330, 1043, 2068, 1054, 5795, 1009, 3596, 9425, 1060, 7430, 1694, 1142, 3831, 1059, 11612, 27453, 90, 1078, 1032, 1468, 17667, 10965, 17464, 21, 3612, 26, 3840, 19, 9322, 1609, 10828, 1196, 5537, 2634, 3752, 1401, 1713, 19, 1266, 19, 1053, 2001, 21052, 19, 1135, 1694, 5537, 3831, 10491, 2577, 1112, 1009, 30760, 1093, 1043, 1026, 5083, 1095, 1032, 1328, 8, 1205, 1483, 1051, 6383, 88, 6369, 6202, 2224, 3422, 7240, 16819, 3851, 10491, 1443, 1343, 32, 15858, 1009, 2033, 2445, 18471, 1054, 1050, 2087, 1093, 7358, 1280, 32, 15433, 2721, 21, 7270, 18061, 2721, 7133, 1042, 3287, 1147, 32, 14755, 26526, 1205, 1483, 1051, 6617, 10377, 1134, 1839, 1531, 76, 3668, 83, 1069, 1704, 7221, 32, 1782, 10377, 1071, 4700, 94, 15, 1005, 1313, 39, 1955, 12121, 1117, 1675, 10377, 17246, 0, 2149, 3487, 94, 3377, 12701, 5982, 32, 11528, 11412, 1047, 3507, 1797, 8535, 1887, 26566, 25849, 32, 21467, 6275, 8401, 1225, 4589, 3295, 0, 18, 3910, 1090, 9962, 1006, 25279, 26472, 1272, 1957, 2014, 1091, 3121, 1233, 6167, 11332, 1322, 1026, 19890, 8100, 28174, 1009, 2971, 0, 1349, 13873, 11029, 11216, 20700, 2577, 1024, 1050, 2087, 1093, 4885, 1072, 19890, 1043, 1044, 10833, 24166, 85, 1160, 1096, 8161, 20458, 25894, 1026, 2279, 1032, 1328, 3778, 2453, 1187, 1456, 8654, 1184, 1094, 1472, 1323, 6676, 1079, 4601, 1043, 21940, 2800, 1050, 2087, 1093, 1096, 1044, 10202, 1493, 7850, 1503, 7349, 1036, 21151, 8, 1026, 1134, 1049, 2279, 1032, 1328, 1068, 31387, 3033, 1006, 1345, 1014, 1582, 1011, 2431, 7989, 7575, 1006, 3486, 27895, 1049, 21514, 1043, 1026, 1380, 16372, 5046, 6888, 1159, 1531, 76, 3668, 7104, 1005, 1026, 3435, 1195, 1026, 10474, 11184, 1009, 1050, 2087, 1093, 1680, 30343, 1069, 1005, 1305, 1132, 11347, 1010, 1049, 24681, 9190, 11676, 3735, 6715, 1043, 1026, 1235, 4465, 8937, 1071, 4700, 94, 15, 1989, 2217, 26526, 7455, 6885, 2691, 4601, 1150, 2162, 5616, 1406, 1005, 1592, 1043, 3114, 94, 1124, 4601, 11640, 1033, 1130, 2040, 20, 1063, 7461, 1049, 11985, 11528, 19, 3363, 3507, 1657, 9121, 1006, 1419, 1043, 1184, 6553, 5068, 1006, 1871, 1049, 3591, 7043, 12514, 1213, 10474, 1049, 5804, 2693, 1006, 2413, 9662, 1049, 2282, 2005, 1836, 1043, 1026, 1155, 3921, 1136, 1493, 14481, 27698, 1592, 1044, 1305, 1031, 30451, 24166, 85, 1118, 2693, 2122, 2413, 2175, 1377, 1424, 2475, 28, 94, 1009, 2395, 1361, 2693, 1006, 2413, 5046, 1049, 10202, 3572, 2923, 1448, 2140, 7830, 1005, 1009, 2596, 14088, 3424, 15278, 1177, 1178, 9406, 11390, 1048, 1890, 1026, 1531, 1026, 2279, 1032, 1328, 1043, 19845, 94, 5115, 150, 13699, 1853, 3530, 1448, 2140, 73, 2130, 1114, 10587, 1009, 21924, 1054, 1050, 2087, 9039, 5841, 1160, 1195, 1006, 1944, 1472, 1048, 3249, 1089, 3592, 2369, 25301, 5973, 1072, 8575, 1365, 1006, 2413, 5046, 1049, 10202, 1005, 1026, 2282, 72, 1100, 3587, 1511, 1050, 2087, 1093, 1058, 4277, 1043, 1026, 5203, 1009, 1044, 3412, 6633, 1128, 21151, 19414, 1006, 24991, 1005, 22796, 71, 1150, 27074, 26864, 1893, 8, 1309, 1195, 1054, 1050, 1627, 1566, 1048, 1006, 1853, 9209, 1068, 1616, 1096, 1511, 1050, 2087, 1093, 1058, 4955, 1159, 1044, 1807, 1005, 27455, 11184, 3590, 1189, 1589, 1633, 79, 3186, 2228, 7240, 21605, 3989, 3996, 1280, 4509, 58, 3692, 21605, 3665, 1479, 9801, 5207, 6070, 58, 1308, 8849, 3287, 1147, 32, 14755, 26526, 6617, 9599, 1134, 7447, 1479, 5578, 1637, 1158, 9599, 1005, 1782, 10377, 2536, 16327, 1097, 1382, 15232, 1814, 1158, 94, 2704, 3008, 2634, 1946, 1103, 1526, 1043, 5293, 1009, 15892, 9621, 7872, 1005, 1225, 1799, 18231, 1009, 1224, 10764, 10672, 1140, 1356, 4153, 19878, 1068, 1006, 26843, 8071, 22178, 1006, 6151, 3295, 675, 0, 1009, 4464, 1072, 19890, 15252, 20, 1084, 4666, 1531, 6133, 1058, 23986, 1072, 30787, 1707, 1026, 21282, 1134, 1087, 1425, 1038, 1065, 1020, 2645, 14611, 1300, 1434, 29574, 1024, 1009, 1124, 1292, 1066, 8425, 2457, 1048, 1058, 11089, 1322, 21695, 2718, 1049, 3184, 1213, 3821, 1005, 17395, 2718, 1009, 8100, 1068, 8223, 1049, 13819, 28927, 14222, 15, 1063, 24329, 1371, 1159, 1094, 5813, 1517, 1236 ]

[ 43, 2478, 79, 1623, 28162, 14554, 7, 8525, 23110, 6161, 7770, 1067, 9024, 2605, 1358, 1021, 9276, 1067, 9024, 89, 7, 20267, 2227, 10228, 4328, 29438, 1020, 11585, 1356, 3845, 4782, 10709, 2968, 12423, 1163, 1835, 8099, 1051, 1067, 1434, 1005, 1021, 2478, 79, 1623, 28162, 14554, 7, 1067, 9024, 89, 4760, 1051, 8525, 23110, 6161, 7770, 2478, 79, 1731, 1953, 1401, 1051, 2871, 7, 1067, 9024, 89, 1009, 16373, 10228, 4328, 29438, 1020, 20305, 20, 7138, 1095, 30963, 1175, 3945, 1009, 1062, 3457, 9298, 29438, 1020, 1049, 2968, 12423, 1163, 1835, 8099, 1051, 1067, 1434, 6399, 1018, 30745, 6161, 7770, 89, 1054, 24347, 1040, 1953, 6104, 31525, 26334, 2735, 1040, 1051, 3883, 1016, 1468, 5705, 6694, 1051, 7, 1205, 7309, 5196, 3409, 75, 1704, 23134, 1291, 5976, 2968, 4693, 7003, 1009, 8339, 5006, 21923, 17362, 19842, 1009, 11556, 1533, 1807, 3364, 1187, 6044, 1049, 19746, 1327, 28456, 13104, 1972, 1058, 4531, 1044, 14919, 1037, 3857, 1299, 1976, 1261, 1044, 7534, 1548, 2974, 1005, 5574, 2252, 1124, 6264, 1187, 24238, 27693, 20, 2034, 9423, 1009, 19345, 1327, 1068, 5224, 7539, 1048, 8929, 1202, 1026, 1048, 1325, 10977, 1072, 10190, 12423, 5126, 9480, 6486, 1009, 12480, 1005, 4449, 1068, 3871, 1048, 6082, 5553, 1211, 15773, 1157, 1206, 6989, 1157, 1005, 14653, 1048, 2693, 4751, 2374, 7492, 1005, 18297, 1026, 9443, 2904, 9867, 1009, 14234, 11755, 13471, 3438, 10428, 5032, 7321, 78, 1248, 29423, 2904, 3850, 89, 13268, 1062, 3457, 9298, 29438, 1020, 33, 1062, 3850, 89, 13268, 7139, 80, 1965, 13268, 13471, 3438, 33, 1424, 25184, 27820, 1009, 1505, 2435, 1242, 1005, 7139, 80, 1965, 20, 1062, 3850, 89, 1096, 1044, 2666, 2987, 1009, 4749, 1870, 26570, 1048, 1132, 4731, 6583, 6815, 1493, 15839, 1054, 6534, 15943, 2034, 6264, 1327, 2987, 1005, 1026, 2666, 12096, 1096, 4445, 1009, 4966, 20, 1138, 17154, 2405, 1484, 1226, 1132, 1858, 33, 1132, 4731, 1213, 5211, 7212, 1046, 1072, 1048, 1026, 17154, 2405, 2155, 8667, 1024, 3021, 4302, 1096, 3330, 1322, 1538, 22279, 13, 1072, 1315, 20604, 1005, 3702, 1160, 2374, 1026, 2822, 1009, 9613, 1298, 1178, 1094, 9967, 10021, 1068, 1261, 1054, 1235, 1238, 8889, 3424, 4490, 3289, 1463, 22214, 1009, 5441, 1643, 1096, 1044, 9920, 2512, 1068, 3291, 1058, 1224, 13429, 1096, 3806, 1206, 1235, 25912, 12262, 2339, 1005, 1006, 4008, 1009, 7910, 9807, 1094, 3289, 2170, 1054, 4702, 1274, 8357, 15674, 1890, 1044, 8552, 1009, 5441, 1643, 1096, 1094, 10525, 8183, 2512, 1068, 4616, 8607, 4116, 7462, 1187, 4731, 1009, 2666, 1009, 3453, 1048, 6178, 31753, 1717, 1132, 7841, 4731, 2754, 6236, 1132, 4731, 1049, 8552, 4215, 1327, 15627, 1717, 1026, 17550, 9900, 6240, 3607, 6021, 1114, 3364, 1187, 9677, 2837, 1094, 3289, 1068, 1044, 4530, 1009, 8552, 5090, 1072, 23019, 9706, 16099, 1026, 1048, 2522, 1145, 1044, 2574, 1124, 14970, 1309, 1318, 4279, 1048, 1299, 18804, 8989, 2073, 3289, 1048, 1299, 20429, 22311, 1997, 89, 19746, 4236, 1009, 1764, 4644, 18249, 27675, 1008, 1279, 12282, 1315, 5378, 1797, 1016, 1468, 19874, 1449, 89, 3089, 1049, 1008, 1905, 2324, 79, 1418, 4394, 1245, 1019, 25698, 1025, 9374, 1045, 5378, 4138, 11068, 16416, 1009, 1315, 5378, 1009, 8024, 10185, 1797, 1016, 1468, 1924, 31802, 1073, 1747, 1358, 1081, 37, 18656, 28912, 26998, 3083, 46, 2053, 42, 2904, 1265, 2972, 1054, 7485, 1142, 2162, 1730, 11312, 1114, 1941, 54, 2592, 20, 9520, 18218, 4650, 23311, 1490, 4650, 5891, 1009, 8079, 1005, 1493, 1184, 1068, 1132, 3460, 12467, 2972, 1054, 7485, 1142, 2162, 1730, 1095, 5920, 5394, 6383, 43, 3071, 23428, 5356, 4436, 3710, 30384, 6767, 2805, 11426, 11779, 8820, 58, 1175, 18656, 28912, 1106, 4186, 11102, 4071, 5394, 20785, 23497, 28482, 1325, 1044, 6518, 3751, 1303, 1271, 10405, 1060, 1484, 3507, 1009, 3453, 4458, 1005, 20327, 4872, 9308, 8917, 90, 1714, 1068, 5758, 1026, 12096, 1005, 1006, 6973, 33, 9357, 5386, 1114, 28672, 1990, 1009, 8718, 8124, 33, 2656, 3312, 3819, 4461, 10268, 2733, 1068, 1132, 4731, 33, 8470, 5184, 1009, 2017, 19894, 2624, 9578, 33, 11841, 2596, 1009, 4125, 1026, 1557, 1043, 1044, 2666, 26556, 33, 1119, 3086, 1009, 24423, 29504, 1459, 1048, 1299, 13970, 1208, 3453, 2733, 1005, 1225, 1044, 2631, 20312, 33, 1766, 4731, 16061, 1006, 20341, 1009, 3453, 20327, 1, 7680, 7826, 60, 5510, 7079, 31314, 1213, 25527, 1009, 5826, 14697, 1009, 7515, 29265, 7133, 1031, 3243, 1525, 27712, 6394, 8962, 11818, 1009, 2773, 1209, 26039, 1213, 2638, 24372, 3499, 2037, 20564, 2252, 1124, 5480, 1009, 26493, 1005, 6250, 1048, 1026, 4898, 21486, 12256, 1054, 9842, 10714, 15828, 1726, 26901, 5900, 78, 1533, 2632, 1856, 1077, 1006, 6280, 1009, 11860, 1043, 1026, 20042, 14301, 1055, 1005, 16208, 1009, 1456, 4100, 17048, 1006, 7680, 7826, 60, 29770, 3170, 2769, 1187, 5826, 2075, 3703, 1009, 7515, 29265, 30021, 12865, 1005, 31275, 21693, 15, 3559, 1379, 1044, 2017, 7301, 1054, 1235, 25018, 1009, 3140, 32, 1026, 9591, 1009, 23329, 2275, 1482, 5966, 1043, 1006, 7111, 6600, 1009, 2773, 1209, 23329, 1034, 2638, 24372, 3499, 4261, 1006, 8515, 27712, 6394, 8962, 11818, 1009, 2773, 1209, 26039, 1213, 2638, 24372, 3499, 2037, 20564, 2252, 1124, 5480, 1009, 26493, 1005, 6250, 1048, 1026, 4898, 21486, 1704, 2773, 2586, 15854, 25995, 59, 3831, 1119, 10274, 5264, 40, 59, 3107, 2713, 13807, 56, 135, 41, 4562, 2722, 1096, 26678, 1357, 1123, 13603, 2773, 1905, 1007, 2451, 1043, 1184, 1009, 7780, 1646, 1009, 16234, 10003, 4306, 14301, 29052, 1096, 24643, 3723, 1213, 5883, 1271, 6106, 1049, 29221, 10517, 1157, 1132, 3145, 25272, 1229, 1096, 13947, 1069, 1068, 7304, 3235, 1009, 4306, 5584, 1400, 2247, 1009, 6394, 18282, 8421, 3259, 1679, 10945, 20, 2951, 17421, 1026, 3099, 1289, 6952, 1381, 2739, 12156, 1006, 1668, 2446, 1009, 18488, 1094, 1472, 1048, 1132, 8971, 1327, 1098, 27310, 1213, 25627, 1766, 15654, 6515, 2739, 8272, 1114, 11874, 18, 2340, 1006, 3364, 1187, 16013, 1160, 15432, 1124, 6475, 1436, 1049, 25627, 1505, 1616, 1006, 4493, 1060, 7680, 7826, 60, 7005, 1184, 1668, 25093, 8, 4979, 1026, 5575, 20, 2638, 9749, 7980, 22549, 1252, 13305, 6168, 14751, 1060, 8621, 1704, 23665, 7032, 1213, 3099, 1054, 1044, 2803, 2512, 1068, 1026, 5826, 2075, 15407, 1566, 1048, 22858, 1132, 3913, 15906, 1068, 1006, 18290, 1007, 2751, 1005, 1837, 1044, 4465, 1187, 19597, 2925, 1009, 1765, 29265, 1068, 1026, 6912, 2037, 12385, 15316, 1132, 8971, 9003, 1858, 1060, 1062, 4436, 7309, 2663, 19377, 1009, 21611, 22454, 1005, 1009, 1142, 3434, 9042, 13824, 1239, 1009, 1128, 8870, 1349, 1026, 25527, 1009, 7515, 29265, 30021, 12865, 14016, 1118, 2916, 1009, 11528, 11, 1049, 10591, 1049, 2638, 31681, 1072, 6402, 1026, 1048, 5274, 1224, 4493, 1072, 1807, 6490, 1949, 1343, 1049, 1460, 31681, 20, 7069, 3216, 1091, 1006, 1224, 19916, 1826, 1132, 8971, 1006, 1048, 1096, 29741, 1068, 6825, 1026, 5883, 1049, 3099, 11873, 1097, 2408, 1006, 3530, 25272, 1229, 1826, 32, 4203, 1060, 5154, 22913, 8971, 9440, 6602, 3929, 1134, 1189, 2184, 8826, 9014, 24797, 33, 2430, 1593, 1074, 9189, 1166, 1206, 1098, 1462, 1523, 1480, 1071, 1441, 7606, 2037, 1502, 1020, 5247, 8016, 20400, 1054, 2962, 6481, 4534, 3929, 2358, 5730, 1009, 2073, 5154, 9553, 3088, 1029, 6481, 9736, 1400, 20896, 1009, 19587, 33, 19875, 3343, 6451, 1005, 33, 2653, 1734, 1098, 27310, 1233, 2562, 1533, 2991, 1009, 1734, 11130, 1072, 6402, 1048, 6011, 4758, 6518, 1005, 1305, 1557, 1068, 1058, 3023, 88, 1005, 6537, 5061, 1009, 2913, 2762, 1026, 25527, 1009, 5826, 14697, 1009, 7515, 29265, 1068, 1026, 2638, 31681, 9952, 1235, 8282, 24305, 1371, 1187, 8811, 3770, 7548, 1402, 1356, 4465, 1060, 9183, 5178, 1009, 7357, 1009, 23417, 1060, 13307, 1005, 18062, 1777, 1009, 5426, 1261, 4525, 1049, 12554, 1005, 27104, 13343, 1049, 2792, 1049, 3428, 1005, 1049, 3189, 1271, 7676, 7548, 1580, 1118, 9134, 7878, 1005, 22094, 1059, 4439, 28890, 15785, 1005, 5371, 5397, 1605, 2638, 31681, 21364, 17770, 1005, 1026, 21136, 2177, 1094, 6808, 1048, 1155, 1787, 150, 6250, 1005, 8596, 1679, 5826, 2075, 3703, 1009, 7515, 29265, 30021, 1399, 1728, 2858, 2991, 1009, 3189, 5934, 1072, 4898, 1009, 22486, 1072, 1561, 1048, 8999, 1048, 1006, 5641, 1009, 2773, 1209, 1005, 21248, 13824, 5425, 11133, 1166, 1006, 16545, 1298, 11042, 1094, 12308, 17860, 1009, 1569, 3970, 10260, 2247, 1009, 6825, 1006, 19697, 1990, 1009, 4209, 1704, 21136, 30021, 1399, 1126, 1048, 1096, 12452, 1159, 1044, 1765, 4672, 1114, 9598, 1009, 27342, 30021, 4170, 1049, 5731, 12890, 1680, 1159, 1734, 3195, 1009, 16013, 10729, 1166, 1356, 29221, 4291, 2593, 1114, 7732, 1485, 1045, 1239, 1049, 5826, 2075, 3298, 1406, 1992, 1159, 1566, 1381, 1751, 1060, 15224, 1009, 5870, 1271, 6535, 13432, 20, 1972, 23214, 3283, 1048, 1026, 9989, 3503, 1459, 1072, 11257, 4360, 3787, 1026, 6262, 1005, 7181, 5966, 1043, 1094, 7111, 6600, 1009, 2773, 1209, 2566, 4917, 3915, 2191, 1726, 6106, 1271, 3235, 1048, 4678, 15128, 1765, 29265, 1068, 1026, 2638, 24372, 3499, 2037, 1026, 21136, 1096, 1044, 4168, 19695, 5336, 9545, 4350, 1006, 1224, 4493, 1114, 6250, 1049, 12735, 1005, 8235, 1704, 2868, 12978, 4524, 1006, 18679, 4480, 2266, 1005, 13706, 11176, 1680, 1159, 6394, 1124, 3460, 3918, 1009, 11874, 1009, 2773, 1209, 1068, 2693, 11228, 1049, 1460, 31681, 1704, 21136, 30021, 4170, 1072, 1561, 1467, 1630, 2165, 1049, 21136, 1068, 1026, 2638, 31681, 1325, 29912, 15298, 1006, 1630, 2165, 1049, 21136, 1072, 3878, 1048, 1195, 11142, 1006, 1884, 2148, 4217, 1347, 1646, 1043, 1006, 13342, 2489, 1213, 21141, 40, 25344, 1071, 30615, 1009, 3064, 75, 1103, 1209, 1049, 1561, 1349, 1044, 9295, 5447, 1054, 14393, 1005, 1048, 2500, 1328, 2252, 1124, 6444, 1009, 1268, 1851, 16540, 2034, 5376, 6884, 1006, 10505, 1072, 1901, 1009, 8683, 1043, 1006, 10609, 1049, 26808, 2954, 2037, 1511, 1195, 5447, 1044, 2017, 6490, 1068, 1026, 4898, 1009, 16013, 1005, 1268, 1851, 12900, 1424, 1006, 27541, 3606, 3235, 9686, 1213, 1908, 13884, 8235, 1005, 3398, 3195, 2170, 23874, 12385, 1006, 16375, 1704, 21136, 30021, 4170, 1195, 3559, 2876, 1072, 1561, 1072, 1901, 1009, 21102, 1043, 1026, 1720, 21136, 2638, 88, 3335, 11449, 7720, 1566, 2284, 2281, 4678, 3723, 1072, 2956, 1009, 1764, 2434, 1068, 1006, 2706, 1049, 24888, 1085, 1027, 1043, 8716, 1068, 11569, 30703, 2170, 1072, 2956, 1049, 2293, 3279, 1049, 7247, 1068, 1006, 2706, 1049, 28580, 14370, 4490, 8172, 5687, 1009, 1871, 17219, 2636, 1927, 1288, 1006, 26324, 1009, 12685, 2464, 1118, 2191, 1009, 16954, 1010, 2427, 1089, 1757, 4433, 3750, 4196, 79, 4968, 1009, 11874, 1294, 31547, 1361, 1009, 6939, 1213, 8271, 1206, 1592, 1043, 4173, 1009, 6641, 1206, 1681, 92, 2101, 1213, 28733, 2037, 1159, 1195, 1026, 2535, 22158, 1072, 2956, 1009, 1764, 2434, 29211, 29144, 21628, 5645, 13451, 1009, 7079, 1596, 1026, 2645, 3831, 7567, 3831, 1349, 5447, 1072, 1901, 1009, 23935, 1072, 2671, 1049, 6168, 8490, 2238, 33, 1006, 7272, 1060, 7310, 56, 1054, 9339, 33, 1026, 12510, 19, 4439, 1035, 16957, 1007, 1054, 5073, 1005, 1072, 1592, 4183, 1006, 4173, 1049, 2868, 1009, 1681, 92, 2101, 1049, 2956, 1009, 1764, 2434, 33, 4173, 1049, 2868, 1009, 1681, 92, 2101, 6007, 1213, 6859, 1049, 21136, 14691, 1072, 1852, 1049, 1901, 1009, 5238, 2170, 6736, 1006, 4173, 1049, 12510, 1009, 3391, 150, 3060, 1546, 1213, 21136, 18715, 18, 24752, 16364, 1356, 6168, 6891, 21274, 10790, 1060, 5827, 1072, 1531, 3727, 1009, 9932, 1009, 3837, 8530, 17211, 6907, 1005, 1009, 4805, 4493, 1213, 21136, 30021, 4170, 1072, 1561, 1195, 1006, 28635, 1072, 1901, 1009, 7218, 1060, 4338, 4115, 2672, 1009, 2773, 1209, 1049, 2638, 31681, 2663, 13462, 23988, 30731, 1213, 1082, 5071, 39, 3306, 20371, 2297, 1060, 14743, 18, 25950, 17121, 1005, 2642, 1593, 5770, 1565, 4378, 10740, 1225, 1159, 3489, 2751, 1026, 3090, 1049, 21136, 1049, 2638, 31681, 1072, 1561, 13522, 10623, 1048, 6326, 1178, 7028, 1312, 1356, 5731, 12890, 13282, 1006, 12460, 1049, 2380, 1005, 17087, 1072, 1853, 25006, 1049, 2868, 1009, 5495, 92, 2101, 20, 23527, 1016, 9488, 21545, 1005, 19101, 19900, 1005, 10067, 1224, 10638, 1233, 4338, 20, 1063, 7680, 7826, 60, 1195, 24344, 1356, 1082, 5071, 39, 1068, 11042, 1026, 4898, 1009, 5826, 14697, 1009, 7515, 29265, 1005, 1225, 11517, 1224, 12236, 1114, 5978, 1049, 4898, 1005, 1054, 10472, 1187, 10418, 1704, 7301, 1009, 5495, 92, 2101, 1213, 6670, 1049, 21136, 18715, 1605, 7301, 1195, 5447, 1072, 1852, 1049, 1901, 1009, 5238, 1005, 2845, 16392, 1054, 9861, 1847, 2574, 1173, 7738, 1068, 1026, 8271, 3534, 1010, 4181, 1646, 1596, 9370, 3480, 4331, 1009, 13063, 1049, 27533, 1356, 5731, 1565, 4490, 7461, 2569, 19638, 1006, 2323, 1049, 1901, 1009, 3917, 1043, 1006, 1853, 10363, 1049, 10472, 1005, 1026, 28519, 1271, 6535, 3098, 6657, 1048, 7949, 1006, 17751, 1006, 11874 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 43, 2478, 79, 1623, 28162, 14554, 7, 8525, 23110, 6161, 7770, 1067, 9024, 2605, 1358, 1021, 9276, 1067, 9024, 89, 7, 20267, 2227, 10228, 4328, 29438, 1020, 11585, 1356, 3845, 4782, 10709, 2968, 12423, 1163, 1835, 8099, 1051, 1067, 1434, 1005, 1021, 2478, 79, 1623, 28162, 14554, 7, 1067, 9024, 89, 4760, 1051, 8525, 23110, 6161, 7770, 2478, 79, 1731, 1953, 1401, 1051, 2871, 7, 1067, 9024, 89, 1009, 16373, 10228, 4328, 29438, 1020, 20305, 20, 7138, 1095, 30963, 1175, 3945, 1009, 1062, 3457, 9298, 29438, 1020, 1049, 2968, 12423, 1163, 1835, 8099, 1051, 1067, 1434, 6399, 1018, 30745, 6161, 7770, 89, 1054, 24347, 1040, 1953, 6104, 31525, 26334, 2735, 1040, 1051, 3883, 1016, 1468, 5705, 6694, 1051, 7, 1205, 7309, 5196, 3409, 75, 1704, 23134, 1291, 5976, 2968, 4693, 7003, 1009, 8339, 5006, 21923, 17362, 19842, 1009, 11556, 1533, 1807, 3364, 1187, 6044, 1049, 19746, 1327, 28456, 13104, 1972, 1058, 4531, 1044, 14919, 1037, 3857, 1299, 1976, 1261, 1044, 7534, 1548, 2974, 1005, 5574, 2252, 1124, 6264, 1187, 24238, 27693, 20, 2034, 9423, 1009, 19345, 1327, 1068, 5224, 7539, 1048, 8929, 1202, 1026, 1048, 1325, 10977, 1072, 10190, 12423, 5126, 9480, 6486, 1009, 12480, 1005, 4449, 1068, 3871, 1048, 6082, 5553, 1211, 15773, 1157, 1206, 6989, 1157, 1005, 14653, 1048, 2693, 4751, 2374, 7492, 1005, 18297, 1026, 9443, 2904, 9867, 1009, 14234, 11755, 13471, 3438, 10428, 5032, 7321, 78, 1248, 29423, 2904, 3850, 89, 13268, 1062, 3457, 9298, 29438, 1020, 33, 1062, 3850, 89, 13268, 7139, 80, 1965, 13268, 13471, 3438, 33, 1424, 25184, 27820, 1009, 1505, 2435, 1242, 1005, 7139, 80, 1965, 20, 1062, 3850, 89, 1096, 1044, 2666, 2987, 1009, 4749, 1870, 26570, 1048, 1132, 4731, 6583, 6815, 1493, 15839, 1054, 6534, 15943, 2034, 6264, 1327, 2987, 1005, 1026, 2666, 12096, 1096, 4445, 1009, 4966, 20, 1138, 17154, 2405, 1484, 1226, 1132, 1858, 33, 1132, 4731, 1213, 5211, 7212, 1046, 1072, 1048, 1026, 17154, 2405, 2155, 8667, 1024, 3021, 4302, 1096, 3330, 1322, 1538, 22279, 13, 1072, 1315, 20604, 1005, 3702, 1160, 2374, 1026, 2822, 1009, 9613, 1298, 1178, 1094, 9967, 10021, 1068, 1261, 1054, 1235, 1238, 8889, 3424, 4490, 3289, 1463, 22214, 1009, 5441, 1643, 1096, 1044, 9920, 2512, 1068, 3291, 1058, 1224, 13429, 1096, 3806, 1206, 1235, 25912, 12262, 2339, 1005, 1006, 4008, 1009, 7910, 9807, 1094, 3289, 2170, 1054, 4702, 1274, 8357, 15674, 1890, 1044, 8552, 1009, 5441, 1643, 1096, 1094, 10525, 8183, 2512, 1068, 4616, 8607, 4116, 7462, 1187, 4731, 1009, 2666, 1009, 3453, 1048, 6178, 31753, 1717, 1132, 7841, 4731, 2754, 6236, 1132, 4731, 1049, 8552, 4215, 1327, 15627, 1717, 1026, 17550, 9900, 6240, 3607, 6021, 1114, 3364, 1187, 9677, 2837, 1094, 3289, 1068, 1044, 4530, 1009, 8552, 5090, 1072, 23019, 9706, 16099, 1026, 1048, 2522, 1145, 1044, 2574, 1124, 14970, 1309, 1318, 4279, 1048, 1299, 18804, 8989, 2073, 3289, 1048, 1299, 20429, 22311, 1997, 89, 19746, 4236, 1009, 1764, 4644, 18249, 27675, 1008, 1279, 12282, 1315, 5378, 1797, 1016, 1468, 19874, 1449, 89, 3089, 1049, 1008, 1905, 2324, 79, 1418, 4394, 1245, 1019, 25698, 1025, 9374, 1045, 5378, 4138, 11068, 16416, 1009, 1315, 5378, 1009, 8024, 10185, 1797, 1016, 1468, 1924, 31802, 1073, 1747, 1358, 1081, 37, 18656, 28912, 26998, 3083, 46, 2053, 42, 2904, 1265, 2972, 1054, 7485, 1142, 2162, 1730, 11312, 1114, 1941, 54, 2592, 20, 9520, 18218, 4650, 23311, 1490, 4650, 5891, 1009, 8079, 1005, 1493, 1184, 1068, 1132, 3460, 12467, 2972, 1054, 7485, 1142, 2162, 1730, 1095, 5920, 5394, 6383, 43, 3071, 23428, 5356, 4436, 3710, 30384, 6767, 2805, 11426, 11779, 8820, 58, 1175, 18656, 28912, 1106, 4186, 11102, 4071, 5394, 20785, 23497, 28482, 1325, 1044, 6518, 3751, 1303, 1271, 10405, 1060, 1484, 3507, 1009, 3453, 4458, 1005, 20327, 4872, 9308, 8917, 90, 1714, 1068, 5758, 1026, 12096, 1005, 1006, 6973, 33, 9357, 5386, 1114, 28672, 1990, 1009, 8718, 8124, 33, 2656, 3312, 3819, 4461, 10268, 2733, 1068, 1132, 4731, 33, 8470, 5184, 1009, 2017, 19894, 2624, 9578, 33, 11841, 2596, 1009, 4125, 1026, 1557, 1043, 1044, 2666, 26556, 33, 1119, 3086, 1009, 24423, 29504, 1459, 1048, 1299, 13970, 1208, 3453, 2733, 1005, 1225, 1044, 2631, 20312, 33, 1766, 4731, 16061, 1006, 20341, 1009, 3453, 20327, 1, 7680, 7826, 60, 5510, 7079, 31314, 1213, 25527, 1009, 5826, 14697, 1009, 7515, 29265, 7133, 1031, 3243, 1525, 27712, 6394, 8962, 11818, 1009, 2773, 1209, 26039, 1213, 2638, 24372, 3499, 2037, 20564, 2252, 1124, 5480, 1009, 26493, 1005, 6250, 1048, 1026, 4898, 21486, 12256, 1054, 9842, 10714, 15828, 1726, 26901, 5900, 78, 1533, 2632, 1856, 1077, 1006, 6280, 1009, 11860, 1043, 1026, 20042, 14301, 1055, 1005, 16208, 1009, 1456, 4100, 17048, 1006, 7680, 7826, 60, 29770, 3170, 2769, 1187, 5826, 2075, 3703, 1009, 7515, 29265, 30021, 12865, 1005, 31275, 21693, 15, 3559, 1379, 1044, 2017, 7301, 1054, 1235, 25018, 1009, 3140, 32, 1026, 9591, 1009, 23329, 2275, 1482, 5966, 1043, 1006, 7111, 6600, 1009, 2773, 1209, 23329, 1034, 2638, 24372, 3499, 4261, 1006, 8515, 27712, 6394, 8962, 11818, 1009, 2773, 1209, 26039, 1213, 2638, 24372, 3499, 2037, 20564, 2252, 1124, 5480, 1009, 26493, 1005, 6250, 1048, 1026, 4898, 21486, 1704, 2773, 2586, 15854, 25995, 59, 3831, 1119, 10274, 5264, 40, 59, 3107, 2713, 13807, 56, 135, 41, 4562, 2722, 1096, 26678, 1357, 1123, 13603, 2773, 1905, 1007, 2451, 1043, 1184, 1009, 7780, 1646, 1009, 16234, 10003, 4306, 14301, 29052, 1096, 24643, 3723, 1213, 5883, 1271, 6106, 1049, 29221, 10517, 1157, 1132, 3145, 25272, 1229, 1096, 13947, 1069, 1068, 7304, 3235, 1009, 4306, 5584, 1400, 2247, 1009, 6394, 18282, 8421, 3259, 1679, 10945, 20, 2951, 17421, 1026, 3099, 1289, 6952, 1381, 2739, 12156, 1006, 1668, 2446, 1009, 18488, 1094, 1472, 1048, 1132, 8971, 1327, 1098, 27310, 1213, 25627, 1766, 15654, 6515, 2739, 8272, 1114, 11874, 18, 2340, 1006, 3364, 1187, 16013, 1160, 15432, 1124, 6475, 1436, 1049, 25627, 1505, 1616, 1006, 4493, 1060, 7680, 7826, 60, 7005, 1184, 1668, 25093, 8, 4979, 1026, 5575, 20, 2638, 9749, 7980, 22549, 1252, 13305, 6168, 14751, 1060, 8621, 1704, 23665, 7032, 1213, 3099, 1054, 1044, 2803, 2512, 1068, 1026, 5826, 2075, 15407, 1566, 1048, 22858, 1132, 3913, 15906, 1068, 1006, 18290, 1007, 2751, 1005, 1837, 1044, 4465, 1187, 19597, 2925, 1009, 1765, 29265, 1068, 1026, 6912, 2037, 12385, 15316, 1132, 8971, 9003, 1858, 1060, 1062, 4436, 7309, 2663, 19377, 1009, 21611, 22454, 1005, 1009, 1142, 3434, 9042, 13824, 1239, 1009, 1128, 8870, 1349, 1026, 25527, 1009, 7515, 29265, 30021, 12865, 14016, 1118, 2916, 1009, 11528, 11, 1049, 10591, 1049, 2638, 31681, 1072, 6402, 1026, 1048, 5274, 1224, 4493, 1072, 1807, 6490, 1949, 1343, 1049, 1460, 31681, 20, 7069, 3216, 1091, 1006, 1224, 19916, 1826, 1132, 8971, 1006, 1048, 1096, 29741, 1068, 6825, 1026, 5883, 1049, 3099, 11873, 1097, 2408, 1006, 3530, 25272, 1229, 1826, 32, 4203, 1060, 5154, 22913, 8971, 9440, 6602, 3929, 1134, 1189, 2184, 8826, 9014, 24797, 33, 2430, 1593, 1074, 9189, 1166, 1206, 1098, 1462, 1523, 1480, 1071, 1441, 7606, 2037, 1502, 1020, 5247, 8016, 20400, 1054, 2962, 6481, 4534, 3929, 2358, 5730, 1009, 2073, 5154, 9553, 3088, 1029, 6481, 9736, 1400, 20896, 1009, 19587, 33, 19875, 3343, 6451, 1005, 33, 2653, 1734, 1098, 27310, 1233, 2562, 1533, 2991, 1009, 1734, 11130, 1072, 6402, 1048, 6011, 4758, 6518, 1005, 1305, 1557, 1068, 1058, 3023, 88, 1005, 6537, 5061, 1009, 2913, 2762, 1026, 25527, 1009, 5826, 14697, 1009, 7515, 29265, 1068, 1026, 2638, 31681, 9952, 1235, 8282, 24305, 1371, 1187, 8811, 3770, 7548, 1402, 1356, 4465, 1060, 9183, 5178, 1009, 7357, 1009, 23417, 1060, 13307, 1005, 18062, 1777, 1009, 5426, 1261, 4525, 1049, 12554, 1005, 27104, 13343, 1049, 2792, 1049, 3428, 1005, 1049, 3189, 1271, 7676, 7548, 1580, 1118, 9134, 7878, 1005, 22094, 1059, 4439, 28890, 15785, 1005, 5371, 5397, 1605, 2638, 31681, 21364, 17770, 1005, 1026, 21136, 2177, 1094, 6808, 1048, 1155, 1787, 150, 6250, 1005, 8596, 1679, 5826, 2075, 3703, 1009, 7515, 29265, 30021, 1399, 1728, 2858, 2991, 1009, 3189, 5934, 1072, 4898, 1009, 22486, 1072, 1561, 1048, 8999, 1048, 1006, 5641, 1009, 2773, 1209, 1005, 21248, 13824, 5425, 11133, 1166, 1006, 16545, 1298, 11042, 1094, 12308, 17860, 1009, 1569, 3970, 10260, 2247, 1009, 6825, 1006, 19697, 1990, 1009, 4209, 1704, 21136, 30021, 1399, 1126, 1048, 1096, 12452, 1159, 1044, 1765, 4672, 1114, 9598, 1009, 27342, 30021, 4170, 1049, 5731, 12890, 1680, 1159, 1734, 3195, 1009, 16013, 10729, 1166, 1356, 29221, 4291, 2593, 1114, 7732, 1485, 1045, 1239, 1049, 5826, 2075, 3298, 1406, 1992, 1159, 1566, 1381, 1751, 1060, 15224, 1009, 5870, 1271, 6535, 13432, 20, 1972, 23214, 3283, 1048, 1026, 9989, 3503, 1459, 1072, 11257, 4360, 3787, 1026, 6262, 1005, 7181, 5966, 1043, 1094, 7111, 6600, 1009, 2773, 1209, 2566, 4917, 3915, 2191, 1726, 6106, 1271, 3235, 1048, 4678, 15128, 1765, 29265, 1068, 1026, 2638, 24372, 3499, 2037, 1026, 21136, 1096, 1044, 4168, 19695, 5336, 9545, 4350, 1006, 1224, 4493, 1114, 6250, 1049, 12735, 1005, 8235, 1704, 2868, 12978, 4524, 1006, 18679, 4480, 2266, 1005, 13706, 11176, 1680, 1159, 6394, 1124, 3460, 3918, 1009, 11874, 1009, 2773, 1209, 1068, 2693, 11228, 1049, 1460, 31681, 1704, 21136, 30021, 4170, 1072, 1561, 1467, 1630, 2165, 1049, 21136, 1068, 1026, 2638, 31681, 1325, 29912, 15298, 1006, 1630, 2165, 1049, 21136, 1072, 3878, 1048, 1195, 11142, 1006, 1884, 2148, 4217, 1347, 1646, 1043, 1006, 13342, 2489, 1213, 21141, 40, 25344, 1071, 30615, 1009, 3064, 75, 1103, 1209, 1049, 1561, 1349, 1044, 9295, 5447, 1054, 14393, 1005, 1048, 2500, 1328, 2252, 1124, 6444, 1009, 1268, 1851, 16540, 2034, 5376, 6884, 1006, 10505, 1072, 1901, 1009, 8683, 1043, 1006, 10609, 1049, 26808, 2954, 2037, 1511, 1195, 5447, 1044, 2017, 6490, 1068, 1026, 4898, 1009, 16013, 1005, 1268, 1851, 12900, 1424, 1006, 27541, 3606, 3235, 9686, 1213, 1908, 13884, 8235, 1005, 3398, 3195, 2170, 23874, 12385, 1006, 16375, 1704, 21136, 30021, 4170, 1195, 3559, 2876, 1072, 1561, 1072, 1901, 1009, 21102, 1043, 1026, 1720, 21136, 2638, 88, 3335, 11449, 7720, 1566, 2284, 2281, 4678, 3723, 1072, 2956, 1009, 1764, 2434, 1068, 1006, 2706, 1049, 24888, 1085, 1027, 1043, 8716, 1068, 11569, 30703, 2170, 1072, 2956, 1049, 2293, 3279, 1049, 7247, 1068, 1006, 2706, 1049, 28580, 14370, 4490, 8172, 5687, 1009, 1871, 17219, 2636, 1927, 1288, 1006, 26324, 1009, 12685, 2464, 1118, 2191, 1009, 16954, 1010, 2427, 1089, 1757, 4433, 3750, 4196, 79, 4968, 1009, 11874, 1294, 31547, 1361, 1009, 6939, 1213, 8271, 1206, 1592, 1043, 4173, 1009, 6641, 1206, 1681, 92, 2101, 1213, 28733, 2037, 1159, 1195, 1026, 2535, 22158, 1072, 2956, 1009, 1764, 2434, 29211, 29144, 21628, 5645, 13451, 1009, 7079, 1596, 1026, 2645, 3831, 7567, 3831, 1349, 5447, 1072, 1901, 1009, 23935, 1072, 2671, 1049, 6168, 8490, 2238, 33, 1006, 7272, 1060, 7310, 56, 1054, 9339, 33, 1026, 12510, 19, 4439, 1035, 16957, 1007, 1054, 5073, 1005, 1072, 1592, 4183, 1006, 4173, 1049, 2868, 1009, 1681, 92, 2101, 1049, 2956, 1009, 1764, 2434, 33, 4173, 1049, 2868, 1009, 1681, 92, 2101, 6007, 1213, 6859, 1049, 21136, 14691, 1072, 1852, 1049, 1901, 1009, 5238, 2170, 6736, 1006, 4173, 1049, 12510, 1009, 3391, 150, 3060, 1546, 1213, 21136, 18715, 18, 24752, 16364, 1356, 6168, 6891, 21274, 10790, 1060, 5827, 1072, 1531, 3727, 1009, 9932, 1009, 3837, 8530, 17211, 6907, 1005, 1009, 4805, 4493, 1213, 21136, 30021, 4170, 1072, 1561, 1195, 1006, 28635, 1072, 1901, 1009, 7218, 1060, 4338, 4115, 2672, 1009, 2773, 1209, 1049, 2638, 31681, 2663, 13462, 23988, 30731, 1213, 1082, 5071, 39, 3306, 20371, 2297, 1060, 14743, 18, 25950, 17121, 1005, 2642, 1593, 5770, 1565, 4378, 10740, 1225, 1159, 3489, 2751, 1026, 3090, 1049, 21136, 1049, 2638, 31681, 1072, 1561, 13522, 10623, 1048, 6326, 1178, 7028, 1312, 1356, 5731, 12890, 13282, 1006, 12460, 1049, 2380, 1005, 17087, 1072, 1853, 25006, 1049, 2868, 1009, 5495, 92, 2101, 20, 23527, 1016, 9488, 21545, 1005, 19101, 19900, 1005, 10067, 1224, 10638, 1233, 4338, 20, 1063, 7680, 7826, 60, 1195, 24344, 1356, 1082, 5071, 39, 1068, 11042, 1026, 4898, 1009, 5826, 14697, 1009, 7515, 29265, 1005, 1225, 11517, 1224, 12236, 1114, 5978, 1049, 4898, 1005, 1054, 10472, 1187, 10418, 1704, 7301, 1009, 5495, 92, 2101, 1213, 6670, 1049, 21136, 18715, 1605, 7301, 1195, 5447, 1072, 1852, 1049, 1901, 1009, 5238, 1005, 2845, 16392, 1054, 9861, 1847, 2574, 1173, 7738, 1068, 1026, 8271, 3534, 1010, 4181, 1646, 1596, 9370, 3480, 4331, 1009, 13063, 1049, 27533, 1356, 5731, 1565, 4490, 7461, 2569, 19638, 1006, 2323, 1049, 1901, 1009, 3917, 1043, 1006, 1853, 10363, 1049, 10472, 1005, 1026, 28519, 1271, 6535, 3098, 6657, 1048, 7949, 1006, 17751, 1006, 11874 ]

[ 1043, 17873, 13640, 2240, 1063, 1944, 3616, 1048, 1160, 1325, 1680, 1068, 4982, 1096, 1159, 4859, 1858, 1009, 7534, 3634, 1178, 4043, 1418, 3957, 1009, 1858, 9165, 1054, 1094, 7059, 1005, 1058, 1234, 10492, 1206, 15574, 2149, 1068, 4286, 4547, 24159, 1068, 15574, 1565, 32, 2674, 1697, 1083, 1538, 9412, 12966, 1060, 7059, 14433, 8325, 2541, 1538, 9412, 12966, 1060, 7059, 20239, 13, 5125, 2771, 2654, 3895, 1089, 3530, 1858, 1054, 1044, 2658, 1009, 6406, 2301, 1058, 87, 74, 27800, 1005, 3074, 3798, 1157, 1026, 5665, 1348, 1043, 1668, 4133, 32, 2674, 1697, 2052, 1804, 78, 2703, 19027, 2576, 22662, 21, 1183, 78, 2703, 2561, 8099, 72, 1175, 79, 1058, 87, 18838, 21, 1358, 12109, 1175, 22, 7784, 1080, 14580, 1175, 2456, 5125, 2771, 5344, 2601, 1668, 17681, 2674, 1697, 1955, 20191, 1072, 13075, 1150, 11015, 8, 10699, 4475, 2655, 1051, 1252, 76, 7067, 26542, 1026, 2658, 6260, 15455, 4876, 13452, 1160, 4292, 28337, 2771, 2458, 3899, 2328, 1271, 3918, 3599, 1907, 1356, 2561, 1021, 52, 9484, 3745, 1006, 4169, 1175, 1175, 23502, 22563, 3885, 5192, 7215, 1026, 1048, 1616, 1381, 18, 1503, 3012, 2071, 1702, 13706, 1337, 1068, 9282, 2240, 8295, 1503, 1359, 1092, 1026, 4133, 1159, 1992, 29201, 1142, 11567, 1096, 1044, 2658, 1048, 1503, 19226, 3692, 2674, 1697, 2052, 1804, 78, 2703, 19027, 2576, 22662, 21, 1183, 78, 2703, 2561, 8099, 72, 1175, 79, 1058, 87, 18838, 21, 1358, 12109, 1175, 22, 7784, 1080, 14580, 1175, 2456, 1175, 2903, 1064, 11567, 5125, 2771, 5344, 2601, 1668, 17681, 2674, 1697, 25708, 6092, 41, 1593, 26542, 24168, 5709, 1568, 20, 4475, 5509, 1160, 1298, 1178, 3941, 1068, 24168, 1183, 78, 2703, 9068, 3082, 28220, 14959, 93, 1408, 14461, 675, 675, 675, 1054, 24168, 1183, 78, 13640, 6092, 1174, 79, 2652, 1925, 1070, 1375, 1730, 2223, 4822, 1021, 8905, 11567, 8849, 6290, 18298, 1364, 20, 7161, 1071, 11567, 8849, 6290, 18298, 1364, 7535, 4059, 1308, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 1297, 1197, 20, 7161, 1364, 20, 10846, 1071, 7161, 1364, 7535, 3502, 12770, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 10654, 1183, 1722, 11080, 20, 10846, 8855, 7161, 1364, 3306, 1241, 1076, 81, 7535, 29, 4655, 1308, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 10654, 1183, 1722, 11080, 20, 10846, 1071, 7161, 1076, 81, 7535, 25, 4700, 1308, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 10654, 24995, 80, 1193, 10846, 4213, 2052, 1151, 1193, 20, 10846, 8482, 3369, 80, 1193, 88, 8824, 25119, 2337, 7469, 2190, 2771, 19372, 1009, 3291, 1026, 1048, 3074, 3748, 1009, 8857, 9175, 1058, 2348, 5939, 5037, 14353, 7043, 2267, 7954, 3023, 88, 1132, 1858, 1009, 7534, 1005, 5719, 1026, 4133, 37, 9668, 2550, 1009, 3813, 1060, 1063, 5529, 1160, 2449, 3177, 1679, 1456, 1858, 1206, 1233, 6855, 17873, 2703, 4322, 2268, 1043, 2068, 1114, 4253, 1009, 3481, 1048, 1299, 2185, 12850, 3449, 1048, 1837, 1044, 2863, 1043, 1026, 22896, 1187, 1858, 1845, 4253, 1009, 3481, 10863, 1048, 1044, 3820, 1009, 3407, 1325, 1847, 2225, 1188, 1159, 1044, 3820, 14100, 93, 1408, 2196, 1026, 1048, 1160, 1096, 2481, 9414, 4081, 4957, 1068, 1989, 2863, 1096, 5379, 1026, 5203, 1187, 1456, 1858, 1009, 3583, 18934, 1167, 2593, 1054, 1044, 5203, 1048, 17873, 2703, 1298, 7843, 1870, 1159, 1044, 2658, 1009, 6406, 1206, 1044, 2658, 1009, 3408, 16494, 1118, 27458, 1814, 2663, 57, 60, 1565, 2066, 1298, 2071, 1026, 4133, 1058, 87, 74, 27800, 1068, 11062, 1456, 1858, 1054, 1044, 5203, 1009, 2658, 1009, 6406, 11920, 2668, 1026, 2658, 23579, 13452, 1096, 3778, 1068, 6901, 11448, 1132, 26125, 1187, 3408, 2730, 19433, 5790, 3018, 1058, 1299, 6678, 1791, 26125, 1150, 3515, 1727, 8, 1005, 5938, 1259, 4535, 1406, 4291, 22439, 3408, 1009, 1083, 1005, 1175, 2081, 10663, 5080, 1298, 2837, 1668, 2658, 2301, 1026, 2511, 5203, 5983, 1697, 10492, 15791, 84, 1259, 2389, 24159, 5125, 2134, 6108, 3632, 1058, 1026, 5203, 1049, 1235, 2658, 23579, 13452, 10386, 1213, 5203, 12562, 1118, 17873, 2703, 3942, 5661, 29712, 31295, 18615, 1006, 10477, 1049, 17873, 2703, 1005, 11542, 2625, 18302, 1009, 3583, 1005, 3918, 1068, 2808, 1094, 5933, 1048, 23639, 1068, 1026, 1235, 2535, 1009, 2490, 26656, 1, 13157, 1094, 4680, 2042, 1009, 1163, 26753, 1029, 19179, 1054, 24547, 1571, 1094, 18356, 8310, 8071, 1007, 3753, 7964, 72, 24708, 12639, 1463, 3425, 1009, 16328, 18039, 17126, 4268, 16530, 1009, 24547, 1094, 18356, 7768, 16246, 1467, 1752, 28259, 1235, 3152, 7842, 1184, 20378, 1224, 5131, 22998, 9576, 5857, 1009, 20831, 10860, 8045, 1005, 7209, 12047, 17549, 3154, 1229, 1235, 8460, 29197, 1599, 1224, 6925, 1566, 7209, 10518, 2191, 1726, 13361, 5247, 1687, 20062, 1031, 2698, 1044, 6971, 8030, 18515, 2807, 7964, 72, 24708, 1224, 1090, 1921, 19941, 1456, 4101, 1159, 7120, 4003, 6701, 1009, 2717, 1312, 1005, 22951, 1009, 3445, 1005, 1834, 9576, 7351, 18, 8298, 2166, 1235, 3152, 4458, 1009, 10016, 13124, 18887, 1857, 4494, 9334, 2328, 1009, 18268, 1005, 10420, 7739, 14711, 6174, 11190, 1005, 11307, 2072, 7901, 1007, 5600, 1569, 15660, 1312, 17061, 1975, 1006, 3696, 13152, 24584, 1009, 10110, 1005, 17771, 5247, 1009, 6728, 1005, 23783, 1337, 8437, 16433, 5627, 2905, 1114, 16245, 1126, 1159, 1044, 3957, 1009, 17927, 25133, 1531, 1857, 5833, 156, 1412, 1054, 1044, 3066, 1009, 16328, 18039, 1467, 2042, 1009, 1044, 2792, 1048, 2900, 5766, 1100, 1044, 28052, 1271, 2559, 6561, 1054, 1094, 3548, 2072, 20609, 6174, 8098, 18065, 5297, 1124, 2880, 1159, 2254, 1328, 17895, 13152, 1786, 2644, 1159, 1058, 1318, 21475, 1054, 1094, 6396, 2072, 9034, 5289, 3193, 1723, 3441, 2241, 2691, 4268, 1159, 1058, 21475, 1054, 1044, 8449, 1467, 1641, 3154, 1126, 1044, 2383, 75, 1402, 73, 17911, 1048, 1160, 1837, 1557, 25220, 13152, 14400, 3938, 1072, 1703, 1229, 12093, 5545, 2453, 1271, 26340, 12047, 14675, 18211, 1159, 17394, 1857, 21323, 1048, 4393, 1648, 5446, 1677, 7872, 1857, 1058, 3615, 22416, 1043, 1006, 1641, 1048, 5747, 2598, 23886, 1467, 1752, 29159, 1094, 2360, 27503, 1752, 2803, 2072, 18041, 1069, 6702, 1058, 3959, 31528, 1857, 21323, 1048, 2637, 12941, 2284, 21773, 12047, 10429, 6119, 1058, 24079, 11085, 1068, 14249, 1068, 2598, 1184, 4207, 3193, 1992, 1006, 18356, 7768, 1195, 3702, 1043, 1026, 3152, 7003, 7203, 5131, 7021, 5289, 1068, 10919, 1026, 6506, 1060, 4930, 1224, 6925, 1493, 5450, 7803, 1054, 24547, 1687, 4748, 1044, 2017, 7549, 1009, 1834, 5161, 2042, 1048, 1006, 2862, 1068, 14249, 1094, 6396, 1009, 8209, 20, 1, 2760, 4714, 14738, 1044, 19999, 5091, 5873, 1067, 15836, 8, 2695, 1252, 17755, 18, 1048, 1058, 3449, 1043, 1026, 13402, 2674, 1697, 1283, 1522, 1863, 2388, 1246, 8739, 8365, 6179, 5432, 8, 1283, 1951, 675, 1283, 1522, 5646, 2388, 1246, 8739, 8365, 31570, 3498, 83, 2144, 31570, 25269, 5228, 8, 1283, 1951, 675, 675, 675, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 14973, 8, 2388, 1246, 7349, 13757, 3752, 1085, 1029, 2659, 675, 675, 675, 675, 675, 675, 7544, 7234, 22898, 1246, 4049, 1085, 1029, 25297, 88, 19, 1534, 3365, 6898, 1958, 8, 7544, 19, 5106, 42, 3380, 1246, 3598, 5183, 2659, 675, 675, 675, 675, 675, 675, 11187, 24963, 24114, 5, 675, 675, 675, 675, 675, 675, 13398, 1246, 13910, 1029, 1547, 19, 6348, 8, 1283, 1840, 7181, 1006, 3616, 1283, 17170, 1283, 1951, 675, 1283, 2508, 15246, 1283, 1951, 675, 1283, 1522, 5646, 2388, 1246, 8739, 8365, 31570, 3498, 83, 2144, 18905, 17490, 16720, 1108, 31570, 25269, 5228, 8, 3164, 17490, 16720, 1108, 1246, 5083, 18612, 2974, 8, 1283, 1951, 675, 675, 675, 1283, 1522, 21386, 2388, 1246, 3730, 19551, 8, 1283, 1840, 1283, 26074, 1283, 1951, 675, 1283, 2508, 15246, 1283, 1951, 675, 1283, 1522, 16035, 7852, 1246, 4954, 3380, 12723, 3936, 13196, 1073, 4027, 19, 30370, 1283, 1951, 675, 675, 675, 1283, 1522, 9695, 1283, 1840, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 14973, 8, 2388, 1246, 7349, 13757, 3752, 1085, 1029, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 7544, 7234, 22898, 1246, 4049, 1085, 1029, 25297, 88, 19, 1534, 3365, 6898, 1958, 8, 7544, 19, 5106, 42, 3380, 1246, 3598, 5183, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 11187, 24963, 24114, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 13398, 1246, 13910, 1029, 1547, 19, 6348, 8, 1283, 1840, 7181, 1006, 3616, 1283, 17170, 1283, 1840, 1283, 21794, 1283, 1951, 675, 675, 675, 1283, 1522, 9695, 1283, 1840, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 13910, 1491, 19108, 21, 30208, 19, 18830, 8, 1283, 1840, 7181, 2924, 3616, 1283, 17170, 1283, 1840, 1283, 21794, 1283, 1951, 675, 675, 675, 1283, 1522, 9695, 1283, 1840, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 14973, 8, 2388, 1246, 7349, 13757, 3752, 1085, 1029, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 3164, 19, 28849, 1246, 1150, 5273, 1029, 69, 1146, 78, 2262, 19, 1162, 3420, 8, 3164, 19, 5106, 74, 3380, 1246, 17720, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 11187, 24963, 24114, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 13398, 1246, 13910, 1534, 19108, 21, 1136, 19273, 5786, 1208, 8, 1283, 1840, 7181, 2924, 3616, 3555, 1283, 17170, 1283, 1840, 1283, 21794, 1283, 1951, 675, 1283, 2508, 1075, 1283, 5889, 8115, 1283, 7944, 2771, 1138, 4961, 2307, 1096, 1048, 1006, 3597, 4954, 85, 2045, 2735, 21436, 1096, 12392, 1009, 2156, 7320, 32, 1159, 1094, 3597, 1006, 1178, 10567, 1511, 1026, 5646, 2751, 1096, 1373, 7368, 1005, 1159, 1094, 3597, 1006, 1178, 10567, 1511, 1044, 6552, 1072, 10430, 18905, 158, 13294, 23557, 3540, 1327, 3488, 3569, 1159, 8293, 28376, 1009, 1373, 20105, 1463, 20364, 1697, 1283, 1522, 1006, 1283, 1840, 1682, 4891, 1016, 1124, 3540, 15829, 1680, 1072, 17060, 1005, 16957, 1024, 3158, 1817, 2268, 1072, 9292, 2873, 6036, 1006, 3597, 8518, 1140, 1213, 5646, 1160, 12835, 18, 2097, 1006, 3597, 8518, 1140, 1213, 4941, 1026, 1381, 19601, 21818, 1843, 1157, 1890, 1006, 5351, 10920, 1048, 1026, 22513, 1009, 1373, 20105, 1072, 5646, 1160, 1325, 12835, 9512, 3702, 5553, 14665, 1847, 3488, 17885, 2240, 25829, 9026, 1118, 1048, 1616, 1325, 10977, 37, 30589, 7, 5506, 132, 2481, 1048, 1026, 2863, 5553, 10041, 1213, 3124, 1009, 1299, 1261, 1094, 21190, 1009, 17492, 12729, 18702, 1140, 1054, 1094, 8411, 1009, 5646, 19239, 1616, 2374, 14133, 1009, 2303, 1043, 1124, 25066, 1049, 10005, 2400, 2625, 25963, 1693, 1058, 4505, 1024, 1009, 2596, 3630, 1511, 1058, 5632, 1009, 6180, 1043, 4203, 13651, 3974, 9414, 4081, 1048, 1299, 1298, 3689, 1096, 8546, 1006, 8411, 1009, 17492, 12729, 1005, 12251, 1026, 22513, 1009, 4203, 1009, 7705, 5232, 1213, 5212, 1049, 3805, 3320, 2066, 1298, 2071, 1026, 10816, 1068, 15437, 1024, 1026, 3142, 1068, 1026, 7025, 18693, 1511, 1026, 5646, 1234, 1373, 7368, 21696, 4081, 1048, 1299, 1298, 3689, 1096, 5047, 1026, 11007, 1741, 11311, 10503, 1080, 5873, 1150, 70, 1213, 5212, 1049, 5646, 1068, 5174, 1698, 1048, 1668, 1160, 1096, 1044, 5646, 1009, 8408, 2037, 1026, 1048, 1298, 3371, 1006, 4379, 2073, 17044, 1072, 23779, 1009, 4203, 1049, 9740, 7542, 6781, 1096, 2481, 1048, 1006, 3865, 11353, 1049, 2863, 4172, 1178, 2637, 6255, 12907, 1118, 1616, 6054, 1006, 5865, 1663, 2088, 7337, 1005, 7085, 1394, 8008, 1068, 3689, 6659, 1024, 1026, 10999, 1, 2654, 2449, 26827, 2808, 1044, 2631, 2788, 1068, 3538, 1009, 19746, 17676, 1309, 1160, 9470, 7061, 5080, 1298, 15214, 1044, 1068, 4982, 10141, 2550, 1009, 3813, 1060, 4586, 1160, 3002, 31453, 1206, 6825, 3819, 2788, 7347, 1068, 3538, 1009, 19746, 4889, 4322, 2268, 3002, 15214, 1048, 1299, 7181, 1224, 3486, 3780, 1005, 19246, 8181, 1009, 6768, 25572, 1996, 1009, 6016, 1044, 2788, 1068, 6534, 1456, 3538, 1009, 19746, 10046, 11887, 3224, 1927, 1009, 22660, 1043, 6443, 1005, 1998, 10611, 1295, 1043, 3453, 1048, 1299, 1298, 3215, 2652, 675, 2, 1257, 11191, 5478, 1096, 1044, 9889, 9937, 12532, 1058, 5632, 1009, 5470, 3491, 3589, 4548, 8040, 8745, 1049, 2788, 1009, 19746, 4889, 1068, 1026, 1428, 1503, 6105, 2593, 3967, 1157, 4022, 8057, 85, 5470, 1124, 1268, 17722, 1009, 1044, 2788, 1009, 19746, 17676, 1096, 2512, 14126, 4022, 1233, 14298, 18, 29552, 1005, 23968, 1049, 13407, 5286, 1009, 14725, 3480, 1009, 3227, 1005, 3122, 1139, 2485, 3918, 1009, 5496, 1005, 6604, 5842, 5875, 1213, 4174, 1005, 13806, 1005, 18981, 5080, 1318, 1976, 5379, 1058, 1026, 2788, 1225, 1702, 6191, 1009, 30540, 1009, 12773, 5635, 1009, 5496, 19130, 1206, 26704, 1009 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1043, 17873, 13640, 2240, 1063, 1944, 3616, 1048, 1160, 1325, 1680, 1068, 4982, 1096, 1159, 4859, 1858, 1009, 7534, 3634, 1178, 4043, 1418, 3957, 1009, 1858, 9165, 1054, 1094, 7059, 1005, 1058, 1234, 10492, 1206, 15574, 2149, 1068, 4286, 4547, 24159, 1068, 15574, 1565, 32, 2674, 1697, 1083, 1538, 9412, 12966, 1060, 7059, 14433, 8325, 2541, 1538, 9412, 12966, 1060, 7059, 20239, 13, 5125, 2771, 2654, 3895, 1089, 3530, 1858, 1054, 1044, 2658, 1009, 6406, 2301, 1058, 87, 74, 27800, 1005, 3074, 3798, 1157, 1026, 5665, 1348, 1043, 1668, 4133, 32, 2674, 1697, 2052, 1804, 78, 2703, 19027, 2576, 22662, 21, 1183, 78, 2703, 2561, 8099, 72, 1175, 79, 1058, 87, 18838, 21, 1358, 12109, 1175, 22, 7784, 1080, 14580, 1175, 2456, 5125, 2771, 5344, 2601, 1668, 17681, 2674, 1697, 1955, 20191, 1072, 13075, 1150, 11015, 8, 10699, 4475, 2655, 1051, 1252, 76, 7067, 26542, 1026, 2658, 6260, 15455, 4876, 13452, 1160, 4292, 28337, 2771, 2458, 3899, 2328, 1271, 3918, 3599, 1907, 1356, 2561, 1021, 52, 9484, 3745, 1006, 4169, 1175, 1175, 23502, 22563, 3885, 5192, 7215, 1026, 1048, 1616, 1381, 18, 1503, 3012, 2071, 1702, 13706, 1337, 1068, 9282, 2240, 8295, 1503, 1359, 1092, 1026, 4133, 1159, 1992, 29201, 1142, 11567, 1096, 1044, 2658, 1048, 1503, 19226, 3692, 2674, 1697, 2052, 1804, 78, 2703, 19027, 2576, 22662, 21, 1183, 78, 2703, 2561, 8099, 72, 1175, 79, 1058, 87, 18838, 21, 1358, 12109, 1175, 22, 7784, 1080, 14580, 1175, 2456, 1175, 2903, 1064, 11567, 5125, 2771, 5344, 2601, 1668, 17681, 2674, 1697, 25708, 6092, 41, 1593, 26542, 24168, 5709, 1568, 20, 4475, 5509, 1160, 1298, 1178, 3941, 1068, 24168, 1183, 78, 2703, 9068, 3082, 28220, 14959, 93, 1408, 14461, 675, 675, 675, 1054, 24168, 1183, 78, 13640, 6092, 1174, 79, 2652, 1925, 1070, 1375, 1730, 2223, 4822, 1021, 8905, 11567, 8849, 6290, 18298, 1364, 20, 7161, 1071, 11567, 8849, 6290, 18298, 1364, 7535, 4059, 1308, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 1297, 1197, 20, 7161, 1364, 20, 10846, 1071, 7161, 1364, 7535, 3502, 12770, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 10654, 1183, 1722, 11080, 20, 10846, 8855, 7161, 1364, 3306, 1241, 1076, 81, 7535, 29, 4655, 1308, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 10654, 1183, 1722, 11080, 20, 10846, 1071, 7161, 1076, 81, 7535, 25, 4700, 1308, 675, 675, 675, 1054, 24168, 5709, 1568, 20, 1183, 1255, 10654, 24995, 80, 1193, 10846, 4213, 2052, 1151, 1193, 20, 10846, 8482, 3369, 80, 1193, 88, 8824, 25119, 2337, 7469, 2190, 2771, 19372, 1009, 3291, 1026, 1048, 3074, 3748, 1009, 8857, 9175, 1058, 2348, 5939, 5037, 14353, 7043, 2267, 7954, 3023, 88, 1132, 1858, 1009, 7534, 1005, 5719, 1026, 4133, 37, 9668, 2550, 1009, 3813, 1060, 1063, 5529, 1160, 2449, 3177, 1679, 1456, 1858, 1206, 1233, 6855, 17873, 2703, 4322, 2268, 1043, 2068, 1114, 4253, 1009, 3481, 1048, 1299, 2185, 12850, 3449, 1048, 1837, 1044, 2863, 1043, 1026, 22896, 1187, 1858, 1845, 4253, 1009, 3481, 10863, 1048, 1044, 3820, 1009, 3407, 1325, 1847, 2225, 1188, 1159, 1044, 3820, 14100, 93, 1408, 2196, 1026, 1048, 1160, 1096, 2481, 9414, 4081, 4957, 1068, 1989, 2863, 1096, 5379, 1026, 5203, 1187, 1456, 1858, 1009, 3583, 18934, 1167, 2593, 1054, 1044, 5203, 1048, 17873, 2703, 1298, 7843, 1870, 1159, 1044, 2658, 1009, 6406, 1206, 1044, 2658, 1009, 3408, 16494, 1118, 27458, 1814, 2663, 57, 60, 1565, 2066, 1298, 2071, 1026, 4133, 1058, 87, 74, 27800, 1068, 11062, 1456, 1858, 1054, 1044, 5203, 1009, 2658, 1009, 6406, 11920, 2668, 1026, 2658, 23579, 13452, 1096, 3778, 1068, 6901, 11448, 1132, 26125, 1187, 3408, 2730, 19433, 5790, 3018, 1058, 1299, 6678, 1791, 26125, 1150, 3515, 1727, 8, 1005, 5938, 1259, 4535, 1406, 4291, 22439, 3408, 1009, 1083, 1005, 1175, 2081, 10663, 5080, 1298, 2837, 1668, 2658, 2301, 1026, 2511, 5203, 5983, 1697, 10492, 15791, 84, 1259, 2389, 24159, 5125, 2134, 6108, 3632, 1058, 1026, 5203, 1049, 1235, 2658, 23579, 13452, 10386, 1213, 5203, 12562, 1118, 17873, 2703, 3942, 5661, 29712, 31295, 18615, 1006, 10477, 1049, 17873, 2703, 1005, 11542, 2625, 18302, 1009, 3583, 1005, 3918, 1068, 2808, 1094, 5933, 1048, 23639, 1068, 1026, 1235, 2535, 1009, 2490, 26656, 1, 13157, 1094, 4680, 2042, 1009, 1163, 26753, 1029, 19179, 1054, 24547, 1571, 1094, 18356, 8310, 8071, 1007, 3753, 7964, 72, 24708, 12639, 1463, 3425, 1009, 16328, 18039, 17126, 4268, 16530, 1009, 24547, 1094, 18356, 7768, 16246, 1467, 1752, 28259, 1235, 3152, 7842, 1184, 20378, 1224, 5131, 22998, 9576, 5857, 1009, 20831, 10860, 8045, 1005, 7209, 12047, 17549, 3154, 1229, 1235, 8460, 29197, 1599, 1224, 6925, 1566, 7209, 10518, 2191, 1726, 13361, 5247, 1687, 20062, 1031, 2698, 1044, 6971, 8030, 18515, 2807, 7964, 72, 24708, 1224, 1090, 1921, 19941, 1456, 4101, 1159, 7120, 4003, 6701, 1009, 2717, 1312, 1005, 22951, 1009, 3445, 1005, 1834, 9576, 7351, 18, 8298, 2166, 1235, 3152, 4458, 1009, 10016, 13124, 18887, 1857, 4494, 9334, 2328, 1009, 18268, 1005, 10420, 7739, 14711, 6174, 11190, 1005, 11307, 2072, 7901, 1007, 5600, 1569, 15660, 1312, 17061, 1975, 1006, 3696, 13152, 24584, 1009, 10110, 1005, 17771, 5247, 1009, 6728, 1005, 23783, 1337, 8437, 16433, 5627, 2905, 1114, 16245, 1126, 1159, 1044, 3957, 1009, 17927, 25133, 1531, 1857, 5833, 156, 1412, 1054, 1044, 3066, 1009, 16328, 18039, 1467, 2042, 1009, 1044, 2792, 1048, 2900, 5766, 1100, 1044, 28052, 1271, 2559, 6561, 1054, 1094, 3548, 2072, 20609, 6174, 8098, 18065, 5297, 1124, 2880, 1159, 2254, 1328, 17895, 13152, 1786, 2644, 1159, 1058, 1318, 21475, 1054, 1094, 6396, 2072, 9034, 5289, 3193, 1723, 3441, 2241, 2691, 4268, 1159, 1058, 21475, 1054, 1044, 8449, 1467, 1641, 3154, 1126, 1044, 2383, 75, 1402, 73, 17911, 1048, 1160, 1837, 1557, 25220, 13152, 14400, 3938, 1072, 1703, 1229, 12093, 5545, 2453, 1271, 26340, 12047, 14675, 18211, 1159, 17394, 1857, 21323, 1048, 4393, 1648, 5446, 1677, 7872, 1857, 1058, 3615, 22416, 1043, 1006, 1641, 1048, 5747, 2598, 23886, 1467, 1752, 29159, 1094, 2360, 27503, 1752, 2803, 2072, 18041, 1069, 6702, 1058, 3959, 31528, 1857, 21323, 1048, 2637, 12941, 2284, 21773, 12047, 10429, 6119, 1058, 24079, 11085, 1068, 14249, 1068, 2598, 1184, 4207, 3193, 1992, 1006, 18356, 7768, 1195, 3702, 1043, 1026, 3152, 7003, 7203, 5131, 7021, 5289, 1068, 10919, 1026, 6506, 1060, 4930, 1224, 6925, 1493, 5450, 7803, 1054, 24547, 1687, 4748, 1044, 2017, 7549, 1009, 1834, 5161, 2042, 1048, 1006, 2862, 1068, 14249, 1094, 6396, 1009, 8209, 20, 1, 2760, 4714, 14738, 1044, 19999, 5091, 5873, 1067, 15836, 8, 2695, 1252, 17755, 18, 1048, 1058, 3449, 1043, 1026, 13402, 2674, 1697, 1283, 1522, 1863, 2388, 1246, 8739, 8365, 6179, 5432, 8, 1283, 1951, 675, 1283, 1522, 5646, 2388, 1246, 8739, 8365, 31570, 3498, 83, 2144, 31570, 25269, 5228, 8, 1283, 1951, 675, 675, 675, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 14973, 8, 2388, 1246, 7349, 13757, 3752, 1085, 1029, 2659, 675, 675, 675, 675, 675, 675, 7544, 7234, 22898, 1246, 4049, 1085, 1029, 25297, 88, 19, 1534, 3365, 6898, 1958, 8, 7544, 19, 5106, 42, 3380, 1246, 3598, 5183, 2659, 675, 675, 675, 675, 675, 675, 11187, 24963, 24114, 5, 675, 675, 675, 675, 675, 675, 13398, 1246, 13910, 1029, 1547, 19, 6348, 8, 1283, 1840, 7181, 1006, 3616, 1283, 17170, 1283, 1951, 675, 1283, 2508, 15246, 1283, 1951, 675, 1283, 1522, 5646, 2388, 1246, 8739, 8365, 31570, 3498, 83, 2144, 18905, 17490, 16720, 1108, 31570, 25269, 5228, 8, 3164, 17490, 16720, 1108, 1246, 5083, 18612, 2974, 8, 1283, 1951, 675, 675, 675, 1283, 1522, 21386, 2388, 1246, 3730, 19551, 8, 1283, 1840, 1283, 26074, 1283, 1951, 675, 1283, 2508, 15246, 1283, 1951, 675, 1283, 1522, 16035, 7852, 1246, 4954, 3380, 12723, 3936, 13196, 1073, 4027, 19, 30370, 1283, 1951, 675, 675, 675, 1283, 1522, 9695, 1283, 1840, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 14973, 8, 2388, 1246, 7349, 13757, 3752, 1085, 1029, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 7544, 7234, 22898, 1246, 4049, 1085, 1029, 25297, 88, 19, 1534, 3365, 6898, 1958, 8, 7544, 19, 5106, 42, 3380, 1246, 3598, 5183, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 11187, 24963, 24114, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 13398, 1246, 13910, 1029, 1547, 19, 6348, 8, 1283, 1840, 7181, 1006, 3616, 1283, 17170, 1283, 1840, 1283, 21794, 1283, 1951, 675, 675, 675, 1283, 1522, 9695, 1283, 1840, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 13910, 1491, 19108, 21, 30208, 19, 18830, 8, 1283, 1840, 7181, 2924, 3616, 1283, 17170, 1283, 1840, 1283, 21794, 1283, 1951, 675, 675, 675, 1283, 1522, 9695, 1283, 1840, 1283, 1522, 1006, 3187, 11567, 1246, 1150, 2541, 8, 4881, 1246, 14973, 8, 2388, 1246, 7349, 13757, 3752, 1085, 1029, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 3164, 19, 28849, 1246, 1150, 5273, 1029, 69, 1146, 78, 2262, 19, 1162, 3420, 8, 3164, 19, 5106, 74, 3380, 1246, 17720, 2659, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 11187, 24963, 24114, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 13398, 1246, 13910, 1534, 19108, 21, 1136, 19273, 5786, 1208, 8, 1283, 1840, 7181, 2924, 3616, 3555, 1283, 17170, 1283, 1840, 1283, 21794, 1283, 1951, 675, 1283, 2508, 1075, 1283, 5889, 8115, 1283, 7944, 2771, 1138, 4961, 2307, 1096, 1048, 1006, 3597, 4954, 85, 2045, 2735, 21436, 1096, 12392, 1009, 2156, 7320, 32, 1159, 1094, 3597, 1006, 1178, 10567, 1511, 1026, 5646, 2751, 1096, 1373, 7368, 1005, 1159, 1094, 3597, 1006, 1178, 10567, 1511, 1044, 6552, 1072, 10430, 18905, 158, 13294, 23557, 3540, 1327, 3488, 3569, 1159, 8293, 28376, 1009, 1373, 20105, 1463, 20364, 1697, 1283, 1522, 1006, 1283, 1840, 1682, 4891, 1016, 1124, 3540, 15829, 1680, 1072, 17060, 1005, 16957, 1024, 3158, 1817, 2268, 1072, 9292, 2873, 6036, 1006, 3597, 8518, 1140, 1213, 5646, 1160, 12835, 18, 2097, 1006, 3597, 8518, 1140, 1213, 4941, 1026, 1381, 19601, 21818, 1843, 1157, 1890, 1006, 5351, 10920, 1048, 1026, 22513, 1009, 1373, 20105, 1072, 5646, 1160, 1325, 12835, 9512, 3702, 5553, 14665, 1847, 3488, 17885, 2240, 25829, 9026, 1118, 1048, 1616, 1325, 10977, 37, 30589, 7, 5506, 132, 2481, 1048, 1026, 2863, 5553, 10041, 1213, 3124, 1009, 1299, 1261, 1094, 21190, 1009, 17492, 12729, 18702, 1140, 1054, 1094, 8411, 1009, 5646, 19239, 1616, 2374, 14133, 1009, 2303, 1043, 1124, 25066, 1049, 10005, 2400, 2625, 25963, 1693, 1058, 4505, 1024, 1009, 2596, 3630, 1511, 1058, 5632, 1009, 6180, 1043, 4203, 13651, 3974, 9414, 4081, 1048, 1299, 1298, 3689, 1096, 8546, 1006, 8411, 1009, 17492, 12729, 1005, 12251, 1026, 22513, 1009, 4203, 1009, 7705, 5232, 1213, 5212, 1049, 3805, 3320, 2066, 1298, 2071, 1026, 10816, 1068, 15437, 1024, 1026, 3142, 1068, 1026, 7025, 18693, 1511, 1026, 5646, 1234, 1373, 7368, 21696, 4081, 1048, 1299, 1298, 3689, 1096, 5047, 1026, 11007, 1741, 11311, 10503, 1080, 5873, 1150, 70, 1213, 5212, 1049, 5646, 1068, 5174, 1698, 1048, 1668, 1160, 1096, 1044, 5646, 1009, 8408, 2037, 1026, 1048, 1298, 3371, 1006, 4379, 2073, 17044, 1072, 23779, 1009, 4203, 1049, 9740, 7542, 6781, 1096, 2481, 1048, 1006, 3865, 11353, 1049, 2863, 4172, 1178, 2637, 6255, 12907, 1118, 1616, 6054, 1006, 5865, 1663, 2088, 7337, 1005, 7085, 1394, 8008, 1068, 3689, 6659, 1024, 1026, 10999, 1, 2654, 2449, 26827, 2808, 1044, 2631, 2788, 1068, 3538, 1009, 19746, 17676, 1309, 1160, 9470, 7061, 5080, 1298, 15214, 1044, 1068, 4982, 10141, 2550, 1009, 3813, 1060, 4586, 1160, 3002, 31453, 1206, 6825, 3819, 2788, 7347, 1068, 3538, 1009, 19746, 4889, 4322, 2268, 3002, 15214, 1048, 1299, 7181, 1224, 3486, 3780, 1005, 19246, 8181, 1009, 6768, 25572, 1996, 1009, 6016, 1044, 2788, 1068, 6534, 1456, 3538, 1009, 19746, 10046, 11887, 3224, 1927, 1009, 22660, 1043, 6443, 1005, 1998, 10611, 1295, 1043, 3453, 1048, 1299, 1298, 3215, 2652, 675, 2, 1257, 11191, 5478, 1096, 1044, 9889, 9937, 12532, 1058, 5632, 1009, 5470, 3491, 3589, 4548, 8040, 8745, 1049, 2788, 1009, 19746, 4889, 1068, 1026, 1428, 1503, 6105, 2593, 3967, 1157, 4022, 8057, 85, 5470, 1124, 1268, 17722, 1009, 1044, 2788, 1009, 19746, 17676, 1096, 2512, 14126, 4022, 1233, 14298, 18, 29552, 1005, 23968, 1049, 13407, 5286, 1009, 14725, 3480, 1009, 3227, 1005, 3122, 1139, 2485, 3918, 1009, 5496, 1005, 6604, 5842, 5875, 1213, 4174, 1005, 13806, 1005, 18981, 5080, 1318, 1976, 5379, 1058, 1026, 2788, 1225, 1702, 6191, 1009, 30540, 1009, 12773, 5635, 1009, 5496, 19130, 1206, 26704, 1009 ]

[ 1337, 1271, 6298, 10773, 2012, 1009, 24754, 1043, 1006, 7698, 1076, 1025, 1468, 1145, 8385, 2303, 1043, 1026, 2392, 4756, 9534, 6759, 10358, 14087, 18, 2819, 1010, 1005, 1026, 1082, 1468, 1076, 1707, 1327, 1657, 2156, 5480, 2625, 1049, 1592, 28354, 1048, 5759, 1026, 9865, 3498, 1078, 1187, 1011, 1829, 27977, 1048, 23517, 4433, 1026, 1638, 1114, 1871, 1009, 1044, 1030, 5701, 20, 20584, 14087, 2950, 1026, 16975, 9465, 19624, 1438, 6669, 1134, 13773, 1014, 5174, 1412, 1006, 11221, 1009, 18330, 2230, 5279, 1043, 1044, 1030, 5701, 1159, 1094, 12779, 9303, 5916, 1114, 1428, 1006, 9056, 1009, 1062, 6929, 1894, 1058, 1384, 1393, 1043, 1044, 9865, 1054, 1871, 1009, 28702, 2586, 1060, 2921, 2596, 1048, 1006, 7391, 1049, 7930, 2095, 1054, 24754, 2284, 1058, 15310, 1043, 30443, 1020, 1667, 1138, 11501, 9465, 5976, 2611, 9725, 1073, 6792, 24706, 1048, 1160, 24595, 1006, 7064, 11444, 1009, 2819, 1229, 1006, 2323, 1060, 2042, 1009, 1134, 1828, 1024, 2255, 2265, 11390, 1048, 1054, 7698, 1076, 29201, 1298, 1261, 2039, 1188, 1044, 16865, 1679, 28702, 6420, 6892, 1043, 1026, 1049, 18939, 3308, 15, 1094, 1871, 1009, 17128, 1516, 26343, 1024, 1124, 10017, 2453, 1060, 25194, 1009, 1044, 1030, 5701, 1009, 11803, 1455, 1330, 3247, 6633, 1063, 2042, 1009, 6232, 1100, 1026, 2792, 1009, 11803, 1011, 1829, 9955, 1048, 1058, 1808, 1393, 1054, 6532, 2112, 1005, 7152, 156, 1393, 1132, 14654, 1992, 1048, 1857, 12099, 2241, 1114, 27682, 6178, 4834, 4599, 7155, 9414, 16570, 11444, 1049, 21894, 1058, 4768, 1213, 3041, 1054, 1048, 7698, 1076, 1516, 1006, 2751, 12924, 3568, 1005, 6932, 1049, 1449, 7839, 1418, 20, 8602, 4375, 1048, 1006, 1641, 1009, 24754, 6762, 6178, 2089, 4761, 11394, 1016, 8641, 29439, 15, 2533, 2241, 29610, 1006, 7698, 2528, 15907, 9462, 1048, 1668, 29610, 20495, 5162, 1009, 5300, 1132, 2799, 1229, 20137, 1213, 27151, 25199, 20, 1063, 12779, 1516, 20691, 1118, 1044, 24759, 1048, 2111, 1393, 1094, 10593, 1206, 4953, 1009, 28702, 2586, 1026, 1048, 5174, 1461, 2276, 1026, 5029, 8287, 10041, 1213, 1082, 1468, 1076, 1707, 20, 3204, 24759, 1318, 3012, 1178, 3419, 1009, 2819, 1010, 5339, 1006, 13221, 28836, 4458, 1049, 7276, 1011, 1829, 9955, 1026, 21894, 1049, 1082, 1468, 1076, 1707, 2569, 1159, 3129, 18348, 1787, 1006, 1455, 1192, 1778, 9473, 13555, 1271, 1588, 17276, 18046, 1492, 1271, 14417, 1025, 1468, 1392, 1879, 1082, 1468, 1076, 1707, 1072, 5296, 5201, 1009, 21830, 3436, 1082, 1468, 1076, 21496, 1006, 1869, 1046, 1034, 2129, 1062, 1829, 1803, 6133, 23264, 1072, 5296, 5201, 1009, 21830, 1387, 6797, 3448, 1803, 1054, 1235, 7632, 12505, 2475, 2541, 2400, 25678, 19257, 3439, 1365, 20642, 1171, 1010, 25314, 1118, 1094, 2232, 1010, 2528, 1005, 21565, 1371, 1068, 4659, 1072, 1067, 1575, 1714, 1062, 3932, 3085, 1100, 21830, 1005, 14357, 31291, 1235, 2025, 1411, 12093, 1006, 6869, 1357, 1944, 1472, 1365, 5224, 1048, 1596, 1317, 5004, 5781, 1166, 1118, 1224, 5154, 3746, 22843, 1132, 15149, 1104, 1219, 1009, 8620, 1406, 3702, 1235, 1720, 1160, 2374, 18033, 1495, 1026, 23559, 21634, 1424, 1006, 28673, 9189, 4289, 4661, 1118, 14357, 31291, 1049, 1150, 3877, 1009, 24754, 1406, 1026, 1082, 1468, 1076, 1707, 1058, 14696, 1324, 2990, 2140, 73, 2647, 1005, 29386, 79, 1132, 1011, 1893, 5214, 1048, 7887, 1046, 1026, 1134, 2352, 2526, 5328, 1150, 1194, 1009, 8620, 1406, 8913, 1992, 1048, 14357, 6176, 1005, 21830, 1475, 1040, 6154, 1118, 18180, 4378, 9705, 2574, 24117, 1049, 1082, 1468, 1076, 1707, 1043, 1132, 1011, 1893, 17654, 1048, 1160, 1096, 4661, 1054, 2073, 2924, 4633, 5368, 1961, 1096, 2168, 1713, 5222, 1532, 1114, 7813, 1582, 1060, 6869, 4661, 1118, 4687, 15409, 4138, 1159, 1094, 3610, 1009, 1011, 1893, 1707, 17146, 1189, 1468, 3800, 1318, 1257, 2597, 86, 19563, 15867, 1265, 91, 1206, 3492, 26855, 5, 5663, 1037, 1045, 5, 1228, 4479, 4528, 13089, 2965, 1199, 22350, 1060, 21508, 19721, 1, 1156, 8591, 1298, 14436, 1371, 1006, 1898, 47, 8591, 18240, 1009, 675, 11101, 1419, 29039, 150, 5168, 92, 4520, 1009, 1156, 24900, 1094, 1271, 9814, 17853, 11912, 1016, 10435, 24900, 1641, 14416, 1114, 5704, 1009, 1144, 20396, 18789, 10435, 24249, 1009, 1156, 24900, 6140, 1072, 6783, 8168, 19750, 1110, 4665, 74, 11941, 1802, 13533, 4177, 6366, 8334, 14243, 90, 58, 9595, 86, 49, 56, 63, 74, 3255, 72, 78, 92, 76, 51, 72, 54, 1270, 47, 91, 63, 41, 89, 55, 92, 61, 64, 27919, 31, 21, 7665, 37, 18612, 35, 74, 11941, 1018, 27132, 1, 17866, 30644, 1014, 4045, 24610, 1937, 3022, 3734, 1009, 3113, 1009, 3067, 5056, 1096, 1094, 5958, 1005, 30427, 24242, 19711, 2800, 8569, 1009, 4132, 1049, 3878, 5749, 1044, 1044, 1187, 4029, 14823, 18844, 1049, 1908, 2271, 1006, 3832, 1009, 14727, 1847, 20750, 1049, 7927, 7158, 1561, 2454, 3537, 4634, 6849, 30644, 1014, 7717, 3560, 14112, 15512, 1072, 6450, 2170, 1054, 4702, 8708, 1792, 1068, 18391, 1571, 1058, 4114, 8912, 29673, 1213, 7445, 3033, 10873, 17404, 1045, 1728, 3720, 4857, 2539, 28733, 4261, 2966, 1044, 6670, 4772, 41, 2722, 1044, 6670, 7398, 3167, 1324, 1005, 1026, 6859, 1009, 6195, 26650, 1356, 6682, 1009, 17145, 2247, 1009, 1261, 9413, 12493, 1068, 2848, 8487, 76, 10287, 19950, 3110, 11807, 1014, 2521, 1224, 6559, 3467, 1072, 2403, 1067, 1453, 18629, 1175, 2034, 1134, 9569, 1273, 1072, 3129, 1009, 23144, 11628, 1776, 2268, 1224, 7621, 1195, 1072, 3129, 1009, 1128, 5213, 1205, 3352, 1066, 1072, 2403, 2172, 1053, 1149, 1967, 5248, 1349, 1356, 1428, 1195, 16804, 1140, 1357, 7799, 1847, 20041, 6195, 26650, 1009, 10949, 1356, 6670, 4772, 7521, 20, 1138, 3189, 1072, 2403, 1005, 1114, 7799, 3684, 21054, 13133, 1068, 11034, 1114, 18391, 2480, 1157, 1054, 2538, 1729, 30643, 1221, 1967, 5248, 15, 1072, 3129, 13570, 1009, 29273, 4544, 1005, 1119, 13864, 4083, 1646, 4496, 18439, 11409, 7314, 1054, 2089, 16385, 1495, 1169, 9530, 1024, 1159, 13959, 1114, 11315, 1106, 13061, 1148, 19906, 11913, 1159, 6891, 1126, 8723, 1224, 1944, 11980, 1213, 22281, 19950, 3110, 11807, 1014, 1184, 1094, 1472, 1195, 15167, 1072, 6450, 1118, 1224, 7689, 1072, 20792, 1221, 2403, 9843, 1338, 1368, 1137, 9843, 1967, 10703, 1349, 1159, 1006, 27353, 1076, 11921, 1377, 5024, 4818, 3684, 21054, 21229, 1060, 7799, 1005, 1687, 3661, 1132, 9888, 1009, 6195, 26650, 1072, 6682, 1009, 8750, 1005, 1072, 6670, 7398, 3167, 1802, 2494, 18391, 6192, 1006, 1178, 13959, 1054, 13370, 3691, 26159, 1349, 1159, 1180, 1097, 2406, 18, 8723, 1224, 2750, 11980, 1213, 22281, 17513, 1269, 1377, 2494, 3832, 1009, 12535, 1054, 2191, 1006, 20792, 1392, 1005, 5278, 1009, 12788, 30644, 1014, 1195, 1058, 5700, 1094, 1271, 5958, 1018, 1184, 8124, 1049, 3878, 11132, 1118, 7445, 3033, 1124, 25069, 11905, 28675, 3969, 11564, 75, 22393, 15, 1005, 2430, 17461, 22393, 1349, 2247, 1271, 30825, 3292, 2530, 1016, 3292, 4514, 4817, 14537, 29354, 1199, 11329, 4817, 6456, 1005, 1138, 8537, 1049, 1163, 1069, 4817, 7224, 3942, 2738, 1187, 1646, 7693, 18439, 1791, 1009, 1456, 11409, 1184, 19054, 2445, 1054, 1224, 14382, 1463, 30825, 2955, 1872, 1009, 11185, 16196, 1349, 1159, 1006, 13959, 6208, 11382, 1005, 1138, 2320, 2578, 3210, 11913, 1072, 3129, 1060, 18378, 1145, 1941, 92, 15172, 5300, 1132, 5278, 3684, 9777, 1975, 12493, 1009, 6195, 26650, 1072, 22281, 17513, 1269, 1377, 1776, 22091, 10083, 1054, 3056, 1109, 1297, 4650, 1159, 4557, 72, 3930, 4817, 14537, 1163, 1889, 1054, 1128, 2526, 1009, 2079, 17304, 1633, 1091, 4817, 21566, 1063, 8020, 19234, 1009, 1044, 11771, 3210, 6456, 1005, 1505, 4390, 1685, 1134, 1342, 27749, 1565, 30644, 1014, 1620, 1058, 9847, 1054, 30825, 1159, 2487, 4391, 1054, 9072, 2013, 1048, 1764, 15460, 3210, 15640, 1574, 1034, 1007, 1054, 21841, 1271, 7816, 1242, 16484, 1349, 5093, 1342, 1054, 2915, 1167, 6916, 4585, 4681, 1005, 28171, 1054, 2538, 1729, 1060, 9684, 4585, 30, 1565, 28810, 1026, 6859, 5669, 16680, 1049, 6682, 1009, 10949, 1009, 8039, 1054, 4229, 1118, 1224, 3560, 7587, 25157, 5299, 1272, 26405, 7537, 1005, 7158, 1561, 22616, 1153, 30644, 1014, 5810, 1054, 1094, 2531, 1009, 3161, 19249, 1009, 4599, 4094, 6861, 1114, 1641, 1009, 27608, 1937, 3022, 1072, 7273, 1049, 7019, 1420, 11066, 3584, 6790, 5949, 1063, 12902, 12731, 1131, 77, 1528, 5777, 1037, 7452, 1516, 1094, 5092, 1028, 3438, 1009, 9755, 1400, 1005, 1026, 10109, 27054, 30644, 1870, 1516, 7719, 3604, 1100, 3888, 1009, 12825, 89, 1237, 1208, 20, 1482, 1224, 29217, 1047, 29664, 17866, 17661, 1235, 3372, 1159, 5938, 1270, 1291, 20806, 1164, 1406, 1026, 1428, 1516, 9058, 1343, 1043, 1687, 1005, 1006, 3750, 1393, 1006, 5470, 4247, 1021, 1344, 2961, 9481, 3733, 6216, 1356, 10876, 1348, 30859, 14434, 20391, 5153, 1205, 12433, 1006, 2869, 1187, 1791, 2598, 1195, 26553, 3702, 1687, 1026, 4451, 11206, 1117, 1658, 10750, 1132, 3251, 1646, 1009, 10335, 17866, 1657, 20352, 24259, 10635, 1006, 5758, 4894, 1114, 24825, 5024, 3372, 1516, 17445, 18, 12403, 1009, 1094, 5643, 1009, 2438, 3607, 1005, 1224, 4809, 1516, 3880, 2140, 12003, 1005, 19352, 1114, 10314, 1009, 4874, 4913, 8905, 1551, 2531, 4038, 1153, 12312, 17866, 12081, 1054, 22541, 2542, 12261, 1100, 1005, 20121, 1393, 1132, 7910, 1010, 4038, 1153, 6929, 1679, 5550, 1229, 1005, 25401, 1016, 1114, 6661, 21842, 1726, 2799, 2370, 2132, 2032, 1658, 1010, 2256, 1262, 2509, 2864, 17866, 30644, 1014, 6580, 1049, 7927, 1009, 2550, 7158, 27608, 1937, 3022, 1049, 1428, 1195, 6594, 1136, 5304, 1138, 3435, 3684, 16068, 1006, 4455, 1072, 7158, 1561, 24724, 1072, 18383, 17531, 1049, 27412, 152, 96, 5489, 1072, 2293, 1009, 6850, 1072, 1428, 1318, 1195, 11710, 1140, 1159, 1944, 16177, 1049, 7927, 18047, 1505, 2143, 6079, 30644, 1014, 1620, 1160, 6409, 1178, 20118, 1049, 7158, 17240, 8152, 4183, 1094, 1472, 1048, 1998, 1516, 17605, 2306, 1566, 2257, 31744, 1646, 33, 16708, 1687, 2921, 6303, 17281, 2616, 1132, 6638, 1005, 10920, 32, 4954, 1677, 2653, 1646, 1026, 2092, 26262, 1005, 1006, 15224, 1009, 8564, 6011, 1044, 1901, 1006, 10922, 6126, 2574, 1557, 1048, 1503, 3574, 26444, 3126, 20442, 2855, 2965, 1024, 2515, 2965, 1024, 2515, 1114, 4132, 12956, 2634, 6559, 5687, 1054, 14157, 1114, 21502, 2538, 1729, 30643, 2274, 1060, 7049, 19863, 1072, 1428, 16876, 27718, 1005, 29273, 4544, 20, 4083, 1791, 1646, 20911, 3765, 1834, 1726, 5138, 1067, 1814, 25870, 17856, 1005, 17648, 4284, 1054, 1067, 1453, 1009, 1387, 2260, 1005, 1766, 27202, 5157, 20791, 1482, 13872, 1195, 14763, 1423, 6065, 1016, 1054, 19154, 1387, 2270, 1776, 1901, 7715, 2521, 1094, 4455, 2127, 1114, 2700, 3072, 18371, 18511, 18, 1309, 1195, 1072, 3129, 1009, 30011, 1054, 1106, 13061, 1148, 1048, 1006, 5958, 3661, 1224, 1944, 11980, 1159, 6195, 26650, 1072, 22281, 17513, 1269, 1377, 1482, 20796, 16876, 1180, 1097, 2406, 1114, 21502, 13370, 22792, 4575, 1048, 16068, 1006, 2750, 11980, 1159, 6195, 26650, 1072, 22281, 19950, 2286, 12535, 3765, 1834, 1006, 6643, 4962, 1114, 28728, 28675, 3969, 11564, 75, 1005, 4108, 1054, 9033, 26983, 1079, 17205, 1009, 21180, 1054, 2430, 18896, 1667, 12539, 1646, 5738, 16876, 1062, 1038, 1328, 1114, 21502, 3292, 2530, 1016, 14230, 1728, 4083, 1646, 1009, 9899, 1006, 14835, 1195, 16759, 1060, 3733, 9932, 33, 1142, 16421, 24210, 1997, 1054, 29354, 1199, 11329, 1005, 1144, 1937, 1082, 1279, 1051, 1665, 1054, 1138, 8537, 1049, 1163, 2270, 17866, 17368, 1006, 3832, 1009, 8029, 1072, 2868, 3713, 6215, 16931, 1072, 6449, 2951, 22216, 1005, 2561, 1346, 8, 1159, 11921, 1434, 33, 1114, 21502, 25950, 1069, 13120, 1159, 18913, 1005, 3748, 1094, 4455, 2127, 1054, 1138, 10055, 1005, 1124, 1134, 1153, 1678, 1072, 6449, 3730, 9867, 1009, 4735, 1330, 2586, 2538, 2526, 1009, 1574, 1174, 1013, 8, 17331, 1031, 2698, 1006, 3832, 1009, 3303, 26793, 17648, 1114, 21502, 2955, 1872, 1009, 6564, 11790, 1847, 17934, 1213, 22281, 19950, 1009, 4936, 1159, 6195, 26650, 1005, 20750, 1049, 22029, 1049, 9192, 1009, 7693, 1114, 4783, 6195, 26650, 1009, 2228, 11628, 1776, 1901, 7715, 1195, 1941, 92, 2509, 1054, 1138, 2320, 8920, 3129, 1048, 21054, 2924, 11980, 1054, 1224, 2236, 1072, 22281, 19950, 1009, 23590, 1482, 11210, 1195, 2487, 4391, 1054, 9072, 2013, 5139, 1764, 2231, 1273, 1005, 1294, 1791, 1646, 28696, 11199, 3765, 1834, 1726, 5138, 17866, 29730, 1054, 7902, 1049, 13038, 1468, 1005, 9357, 8021, 1814, 1054, 3836, 2286, 8683, 6580, 1060, 28728, 5809, 11038, 1009, 4523, 4103, 1006, 17401, 31207, 1159, 1142, 30344, 1776, 1901, 7715, 10083, 1159, 1006, 9661, 168, 1397, 3039, 15688, 1888, 1114, 21502, 19005, 10761, 89, 1005, 4108, 1054, 4702, 2521, 1094, 4455, 2127, 1159, 17866, 1072, 6449, 3943, 2430, 17461, 1542, 8074, 2647, 1026, 10761, 1551, 5155, 1188, 1005, 1026, 10858, 9014, 72, 1069, 1406, 1114, 2700, 2968, 1010, 1005, 2358, 1016, 1554, 1482, 7905, 16876, 1574, 1034, 1007, 1054, 21841, 1271, 7816, 1242, 2170, 19871 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1337, 1271, 6298, 10773, 2012, 1009, 24754, 1043, 1006, 7698, 1076, 1025, 1468, 1145, 8385, 2303, 1043, 1026, 2392, 4756, 9534, 6759, 10358, 14087, 18, 2819, 1010, 1005, 1026, 1082, 1468, 1076, 1707, 1327, 1657, 2156, 5480, 2625, 1049, 1592, 28354, 1048, 5759, 1026, 9865, 3498, 1078, 1187, 1011, 1829, 27977, 1048, 23517, 4433, 1026, 1638, 1114, 1871, 1009, 1044, 1030, 5701, 20, 20584, 14087, 2950, 1026, 16975, 9465, 19624, 1438, 6669, 1134, 13773, 1014, 5174, 1412, 1006, 11221, 1009, 18330, 2230, 5279, 1043, 1044, 1030, 5701, 1159, 1094, 12779, 9303, 5916, 1114, 1428, 1006, 9056, 1009, 1062, 6929, 1894, 1058, 1384, 1393, 1043, 1044, 9865, 1054, 1871, 1009, 28702, 2586, 1060, 2921, 2596, 1048, 1006, 7391, 1049, 7930, 2095, 1054, 24754, 2284, 1058, 15310, 1043, 30443, 1020, 1667, 1138, 11501, 9465, 5976, 2611, 9725, 1073, 6792, 24706, 1048, 1160, 24595, 1006, 7064, 11444, 1009, 2819, 1229, 1006, 2323, 1060, 2042, 1009, 1134, 1828, 1024, 2255, 2265, 11390, 1048, 1054, 7698, 1076, 29201, 1298, 1261, 2039, 1188, 1044, 16865, 1679, 28702, 6420, 6892, 1043, 1026, 1049, 18939, 3308, 15, 1094, 1871, 1009, 17128, 1516, 26343, 1024, 1124, 10017, 2453, 1060, 25194, 1009, 1044, 1030, 5701, 1009, 11803, 1455, 1330, 3247, 6633, 1063, 2042, 1009, 6232, 1100, 1026, 2792, 1009, 11803, 1011, 1829, 9955, 1048, 1058, 1808, 1393, 1054, 6532, 2112, 1005, 7152, 156, 1393, 1132, 14654, 1992, 1048, 1857, 12099, 2241, 1114, 27682, 6178, 4834, 4599, 7155, 9414, 16570, 11444, 1049, 21894, 1058, 4768, 1213, 3041, 1054, 1048, 7698, 1076, 1516, 1006, 2751, 12924, 3568, 1005, 6932, 1049, 1449, 7839, 1418, 20, 8602, 4375, 1048, 1006, 1641, 1009, 24754, 6762, 6178, 2089, 4761, 11394, 1016, 8641, 29439, 15, 2533, 2241, 29610, 1006, 7698, 2528, 15907, 9462, 1048, 1668, 29610, 20495, 5162, 1009, 5300, 1132, 2799, 1229, 20137, 1213, 27151, 25199, 20, 1063, 12779, 1516, 20691, 1118, 1044, 24759, 1048, 2111, 1393, 1094, 10593, 1206, 4953, 1009, 28702, 2586, 1026, 1048, 5174, 1461, 2276, 1026, 5029, 8287, 10041, 1213, 1082, 1468, 1076, 1707, 20, 3204, 24759, 1318, 3012, 1178, 3419, 1009, 2819, 1010, 5339, 1006, 13221, 28836, 4458, 1049, 7276, 1011, 1829, 9955, 1026, 21894, 1049, 1082, 1468, 1076, 1707, 2569, 1159, 3129, 18348, 1787, 1006, 1455, 1192, 1778, 9473, 13555, 1271, 1588, 17276, 18046, 1492, 1271, 14417, 1025, 1468, 1392, 1879, 1082, 1468, 1076, 1707, 1072, 5296, 5201, 1009, 21830, 3436, 1082, 1468, 1076, 21496, 1006, 1869, 1046, 1034, 2129, 1062, 1829, 1803, 6133, 23264, 1072, 5296, 5201, 1009, 21830, 1387, 6797, 3448, 1803, 1054, 1235, 7632, 12505, 2475, 2541, 2400, 25678, 19257, 3439, 1365, 20642, 1171, 1010, 25314, 1118, 1094, 2232, 1010, 2528, 1005, 21565, 1371, 1068, 4659, 1072, 1067, 1575, 1714, 1062, 3932, 3085, 1100, 21830, 1005, 14357, 31291, 1235, 2025, 1411, 12093, 1006, 6869, 1357, 1944, 1472, 1365, 5224, 1048, 1596, 1317, 5004, 5781, 1166, 1118, 1224, 5154, 3746, 22843, 1132, 15149, 1104, 1219, 1009, 8620, 1406, 3702, 1235, 1720, 1160, 2374, 18033, 1495, 1026, 23559, 21634, 1424, 1006, 28673, 9189, 4289, 4661, 1118, 14357, 31291, 1049, 1150, 3877, 1009, 24754, 1406, 1026, 1082, 1468, 1076, 1707, 1058, 14696, 1324, 2990, 2140, 73, 2647, 1005, 29386, 79, 1132, 1011, 1893, 5214, 1048, 7887, 1046, 1026, 1134, 2352, 2526, 5328, 1150, 1194, 1009, 8620, 1406, 8913, 1992, 1048, 14357, 6176, 1005, 21830, 1475, 1040, 6154, 1118, 18180, 4378, 9705, 2574, 24117, 1049, 1082, 1468, 1076, 1707, 1043, 1132, 1011, 1893, 17654, 1048, 1160, 1096, 4661, 1054, 2073, 2924, 4633, 5368, 1961, 1096, 2168, 1713, 5222, 1532, 1114, 7813, 1582, 1060, 6869, 4661, 1118, 4687, 15409, 4138, 1159, 1094, 3610, 1009, 1011, 1893, 1707, 17146, 1189, 1468, 3800, 1318, 1257, 2597, 86, 19563, 15867, 1265, 91, 1206, 3492, 26855, 5, 5663, 1037, 1045, 5, 1228, 4479, 4528, 13089, 2965, 1199, 22350, 1060, 21508, 19721, 1, 1156, 8591, 1298, 14436, 1371, 1006, 1898, 47, 8591, 18240, 1009, 675, 11101, 1419, 29039, 150, 5168, 92, 4520, 1009, 1156, 24900, 1094, 1271, 9814, 17853, 11912, 1016, 10435, 24900, 1641, 14416, 1114, 5704, 1009, 1144, 20396, 18789, 10435, 24249, 1009, 1156, 24900, 6140, 1072, 6783, 8168, 19750, 1110, 4665, 74, 11941, 1802, 13533, 4177, 6366, 8334, 14243, 90, 58, 9595, 86, 49, 56, 63, 74, 3255, 72, 78, 92, 76, 51, 72, 54, 1270, 47, 91, 63, 41, 89, 55, 92, 61, 64, 27919, 31, 21, 7665, 37, 18612, 35, 74, 11941, 1018, 27132, 1, 17866, 30644, 1014, 4045, 24610, 1937, 3022, 3734, 1009, 3113, 1009, 3067, 5056, 1096, 1094, 5958, 1005, 30427, 24242, 19711, 2800, 8569, 1009, 4132, 1049, 3878, 5749, 1044, 1044, 1187, 4029, 14823, 18844, 1049, 1908, 2271, 1006, 3832, 1009, 14727, 1847, 20750, 1049, 7927, 7158, 1561, 2454, 3537, 4634, 6849, 30644, 1014, 7717, 3560, 14112, 15512, 1072, 6450, 2170, 1054, 4702, 8708, 1792, 1068, 18391, 1571, 1058, 4114, 8912, 29673, 1213, 7445, 3033, 10873, 17404, 1045, 1728, 3720, 4857, 2539, 28733, 4261, 2966, 1044, 6670, 4772, 41, 2722, 1044, 6670, 7398, 3167, 1324, 1005, 1026, 6859, 1009, 6195, 26650, 1356, 6682, 1009, 17145, 2247, 1009, 1261, 9413, 12493, 1068, 2848, 8487, 76, 10287, 19950, 3110, 11807, 1014, 2521, 1224, 6559, 3467, 1072, 2403, 1067, 1453, 18629, 1175, 2034, 1134, 9569, 1273, 1072, 3129, 1009, 23144, 11628, 1776, 2268, 1224, 7621, 1195, 1072, 3129, 1009, 1128, 5213, 1205, 3352, 1066, 1072, 2403, 2172, 1053, 1149, 1967, 5248, 1349, 1356, 1428, 1195, 16804, 1140, 1357, 7799, 1847, 20041, 6195, 26650, 1009, 10949, 1356, 6670, 4772, 7521, 20, 1138, 3189, 1072, 2403, 1005, 1114, 7799, 3684, 21054, 13133, 1068, 11034, 1114, 18391, 2480, 1157, 1054, 2538, 1729, 30643, 1221, 1967, 5248, 15, 1072, 3129, 13570, 1009, 29273, 4544, 1005, 1119, 13864, 4083, 1646, 4496, 18439, 11409, 7314, 1054, 2089, 16385, 1495, 1169, 9530, 1024, 1159, 13959, 1114, 11315, 1106, 13061, 1148, 19906, 11913, 1159, 6891, 1126, 8723, 1224, 1944, 11980, 1213, 22281, 19950, 3110, 11807, 1014, 1184, 1094, 1472, 1195, 15167, 1072, 6450, 1118, 1224, 7689, 1072, 20792, 1221, 2403, 9843, 1338, 1368, 1137, 9843, 1967, 10703, 1349, 1159, 1006, 27353, 1076, 11921, 1377, 5024, 4818, 3684, 21054, 21229, 1060, 7799, 1005, 1687, 3661, 1132, 9888, 1009, 6195, 26650, 1072, 6682, 1009, 8750, 1005, 1072, 6670, 7398, 3167, 1802, 2494, 18391, 6192, 1006, 1178, 13959, 1054, 13370, 3691, 26159, 1349, 1159, 1180, 1097, 2406, 18, 8723, 1224, 2750, 11980, 1213, 22281, 17513, 1269, 1377, 2494, 3832, 1009, 12535, 1054, 2191, 1006, 20792, 1392, 1005, 5278, 1009, 12788, 30644, 1014, 1195, 1058, 5700, 1094, 1271, 5958, 1018, 1184, 8124, 1049, 3878, 11132, 1118, 7445, 3033, 1124, 25069, 11905, 28675, 3969, 11564, 75, 22393, 15, 1005, 2430, 17461, 22393, 1349, 2247, 1271, 30825, 3292, 2530, 1016, 3292, 4514, 4817, 14537, 29354, 1199, 11329, 4817, 6456, 1005, 1138, 8537, 1049, 1163, 1069, 4817, 7224, 3942, 2738, 1187, 1646, 7693, 18439, 1791, 1009, 1456, 11409, 1184, 19054, 2445, 1054, 1224, 14382, 1463, 30825, 2955, 1872, 1009, 11185, 16196, 1349, 1159, 1006, 13959, 6208, 11382, 1005, 1138, 2320, 2578, 3210, 11913, 1072, 3129, 1060, 18378, 1145, 1941, 92, 15172, 5300, 1132, 5278, 3684, 9777, 1975, 12493, 1009, 6195, 26650, 1072, 22281, 17513, 1269, 1377, 1776, 22091, 10083, 1054, 3056, 1109, 1297, 4650, 1159, 4557, 72, 3930, 4817, 14537, 1163, 1889, 1054, 1128, 2526, 1009, 2079, 17304, 1633, 1091, 4817, 21566, 1063, 8020, 19234, 1009, 1044, 11771, 3210, 6456, 1005, 1505, 4390, 1685, 1134, 1342, 27749, 1565, 30644, 1014, 1620, 1058, 9847, 1054, 30825, 1159, 2487, 4391, 1054, 9072, 2013, 1048, 1764, 15460, 3210, 15640, 1574, 1034, 1007, 1054, 21841, 1271, 7816, 1242, 16484, 1349, 5093, 1342, 1054, 2915, 1167, 6916, 4585, 4681, 1005, 28171, 1054, 2538, 1729, 1060, 9684, 4585, 30, 1565, 28810, 1026, 6859, 5669, 16680, 1049, 6682, 1009, 10949, 1009, 8039, 1054, 4229, 1118, 1224, 3560, 7587, 25157, 5299, 1272, 26405, 7537, 1005, 7158, 1561, 22616, 1153, 30644, 1014, 5810, 1054, 1094, 2531, 1009, 3161, 19249, 1009, 4599, 4094, 6861, 1114, 1641, 1009, 27608, 1937, 3022, 1072, 7273, 1049, 7019, 1420, 11066, 3584, 6790, 5949, 1063, 12902, 12731, 1131, 77, 1528, 5777, 1037, 7452, 1516, 1094, 5092, 1028, 3438, 1009, 9755, 1400, 1005, 1026, 10109, 27054, 30644, 1870, 1516, 7719, 3604, 1100, 3888, 1009, 12825, 89, 1237, 1208, 20, 1482, 1224, 29217, 1047, 29664, 17866, 17661, 1235, 3372, 1159, 5938, 1270, 1291, 20806, 1164, 1406, 1026, 1428, 1516, 9058, 1343, 1043, 1687, 1005, 1006, 3750, 1393, 1006, 5470, 4247, 1021, 1344, 2961, 9481, 3733, 6216, 1356, 10876, 1348, 30859, 14434, 20391, 5153, 1205, 12433, 1006, 2869, 1187, 1791, 2598, 1195, 26553, 3702, 1687, 1026, 4451, 11206, 1117, 1658, 10750, 1132, 3251, 1646, 1009, 10335, 17866, 1657, 20352, 24259, 10635, 1006, 5758, 4894, 1114, 24825, 5024, 3372, 1516, 17445, 18, 12403, 1009, 1094, 5643, 1009, 2438, 3607, 1005, 1224, 4809, 1516, 3880, 2140, 12003, 1005, 19352, 1114, 10314, 1009, 4874, 4913, 8905, 1551, 2531, 4038, 1153, 12312, 17866, 12081, 1054, 22541, 2542, 12261, 1100, 1005, 20121, 1393, 1132, 7910, 1010, 4038, 1153, 6929, 1679, 5550, 1229, 1005, 25401, 1016, 1114, 6661, 21842, 1726, 2799, 2370, 2132, 2032, 1658, 1010, 2256, 1262, 2509, 2864, 17866, 30644, 1014, 6580, 1049, 7927, 1009, 2550, 7158, 27608, 1937, 3022, 1049, 1428, 1195, 6594, 1136, 5304, 1138, 3435, 3684, 16068, 1006, 4455, 1072, 7158, 1561, 24724, 1072, 18383, 17531, 1049, 27412, 152, 96, 5489, 1072, 2293, 1009, 6850, 1072, 1428, 1318, 1195, 11710, 1140, 1159, 1944, 16177, 1049, 7927, 18047, 1505, 2143, 6079, 30644, 1014, 1620, 1160, 6409, 1178, 20118, 1049, 7158, 17240, 8152, 4183, 1094, 1472, 1048, 1998, 1516, 17605, 2306, 1566, 2257, 31744, 1646, 33, 16708, 1687, 2921, 6303, 17281, 2616, 1132, 6638, 1005, 10920, 32, 4954, 1677, 2653, 1646, 1026, 2092, 26262, 1005, 1006, 15224, 1009, 8564, 6011, 1044, 1901, 1006, 10922, 6126, 2574, 1557, 1048, 1503, 3574, 26444, 3126, 20442, 2855, 2965, 1024, 2515, 2965, 1024, 2515, 1114, 4132, 12956, 2634, 6559, 5687, 1054, 14157, 1114, 21502, 2538, 1729, 30643, 2274, 1060, 7049, 19863, 1072, 1428, 16876, 27718, 1005, 29273, 4544, 20, 4083, 1791, 1646, 20911, 3765, 1834, 1726, 5138, 1067, 1814, 25870, 17856, 1005, 17648, 4284, 1054, 1067, 1453, 1009, 1387, 2260, 1005, 1766, 27202, 5157, 20791, 1482, 13872, 1195, 14763, 1423, 6065, 1016, 1054, 19154, 1387, 2270, 1776, 1901, 7715, 2521, 1094, 4455, 2127, 1114, 2700, 3072, 18371, 18511, 18, 1309, 1195, 1072, 3129, 1009, 30011, 1054, 1106, 13061, 1148, 1048, 1006, 5958, 3661, 1224, 1944, 11980, 1159, 6195, 26650, 1072, 22281, 17513, 1269, 1377, 1482, 20796, 16876, 1180, 1097, 2406, 1114, 21502, 13370, 22792, 4575, 1048, 16068, 1006, 2750, 11980, 1159, 6195, 26650, 1072, 22281, 19950, 2286, 12535, 3765, 1834, 1006, 6643, 4962, 1114, 28728, 28675, 3969, 11564, 75, 1005, 4108, 1054, 9033, 26983, 1079, 17205, 1009, 21180, 1054, 2430, 18896, 1667, 12539, 1646, 5738, 16876, 1062, 1038, 1328, 1114, 21502, 3292, 2530, 1016, 14230, 1728, 4083, 1646, 1009, 9899, 1006, 14835, 1195, 16759, 1060, 3733, 9932, 33, 1142, 16421, 24210, 1997, 1054, 29354, 1199, 11329, 1005, 1144, 1937, 1082, 1279, 1051, 1665, 1054, 1138, 8537, 1049, 1163, 2270, 17866, 17368, 1006, 3832, 1009, 8029, 1072, 2868, 3713, 6215, 16931, 1072, 6449, 2951, 22216, 1005, 2561, 1346, 8, 1159, 11921, 1434, 33, 1114, 21502, 25950, 1069, 13120, 1159, 18913, 1005, 3748, 1094, 4455, 2127, 1054, 1138, 10055, 1005, 1124, 1134, 1153, 1678, 1072, 6449, 3730, 9867, 1009, 4735, 1330, 2586, 2538, 2526, 1009, 1574, 1174, 1013, 8, 17331, 1031, 2698, 1006, 3832, 1009, 3303, 26793, 17648, 1114, 21502, 2955, 1872, 1009, 6564, 11790, 1847, 17934, 1213, 22281, 19950, 1009, 4936, 1159, 6195, 26650, 1005, 20750, 1049, 22029, 1049, 9192, 1009, 7693, 1114, 4783, 6195, 26650, 1009, 2228, 11628, 1776, 1901, 7715, 1195, 1941, 92, 2509, 1054, 1138, 2320, 8920, 3129, 1048, 21054, 2924, 11980, 1054, 1224, 2236, 1072, 22281, 19950, 1009, 23590, 1482, 11210, 1195, 2487, 4391, 1054, 9072, 2013, 5139, 1764, 2231, 1273, 1005, 1294, 1791, 1646, 28696, 11199, 3765, 1834, 1726, 5138, 17866, 29730, 1054, 7902, 1049, 13038, 1468, 1005, 9357, 8021, 1814, 1054, 3836, 2286, 8683, 6580, 1060, 28728, 5809, 11038, 1009, 4523, 4103, 1006, 17401, 31207, 1159, 1142, 30344, 1776, 1901, 7715, 10083, 1159, 1006, 9661, 168, 1397, 3039, 15688, 1888, 1114, 21502, 19005, 10761, 89, 1005, 4108, 1054, 4702, 2521, 1094, 4455, 2127, 1159, 17866, 1072, 6449, 3943, 2430, 17461, 1542, 8074, 2647, 1026, 10761, 1551, 5155, 1188, 1005, 1026, 10858, 9014, 72, 1069, 1406, 1114, 2700, 2968, 1010, 1005, 2358, 1016, 1554, 1482, 7905, 16876, 1574, 1034, 1007, 1054, 21841, 1271, 7816, 1242, 2170, 19871 ]

[ 15409, 1302, 13762, 5, 1082, 2698, 3936, 2698, 1175, 27868, 1196, 5, 27245, 1082, 1575, 78, 158, 1175, 2487, 85, 1699, 5, 12250, 6257, 1252, 1175, 16860, 15409, 1302, 13762, 5, 2946, 1370, 2571, 1134, 2363, 21186, 1175, 24409, 15409, 1302, 13762, 5, 8528, 5537, 1079, 1020, 9014, 94, 1175, 25364, 1434, 1189, 15409, 1302, 13762, 5, 1123, 1191, 95, 1163, 4450, 74, 1175, 25364, 1434, 1189, 10986, 9902, 5, 17367, 1142, 2162, 1500, 71, 1699, 1175, 5644, 2192, 3788, 71, 1036, 1500, 5, 21454, 1396, 2988, 1020, 13762, 1175, 25364, 1434, 1189, 3788, 71, 1036, 1500, 5, 8985, 3753, 7698, 2450, 1175, 3753, 6629, 1061, 3296, 2310, 23317, 1054, 4397, 6814, 3545, 1049, 8063, 1, 3953, 89, 3498, 1078, 1096, 1044, 2403, 1009, 8345, 15849, 1009, 8163, 7728, 1005, 4823, 1118, 16860, 25088, 20, 3126, 13294, 1159, 10852, 1049, 8063, 1233, 3536, 1049, 9504, 15203, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 26953, 31802, 1082, 6655, 3624, 3008, 1079, 2571, 8851, 6170, 89, 4876, 1108, 1073, 7262, 3296, 2310, 23317, 1054, 4397, 6814, 3545, 1049, 8063, 1, 10143, 1108, 1096, 1044, 2403, 1009, 8345, 15849, 1009, 4119, 7728, 1005, 4823, 1118, 24899, 12497, 9233, 1326, 20, 3126, 13294, 1159, 10852, 1049, 8063, 1233, 3536, 1049, 9504, 7127, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 1537, 10143, 1108, 1570, 1129, 5705, 1070, 1528, 1175, 10143, 1108, 5, 10039, 11907, 2461, 1175, 7612, 5, 1082, 2570, 8141, 1119, 1732, 5760, 19167, 4273, 28717, 1021, 1175, 1067, 10384, 1434, 5, 27918, 5523, 91, 6538, 3645, 9584, 1020, 1175, 1123, 1191, 9442, 1106, 2816, 1041, 1163, 1079, 1021, 1175, 16758, 1012, 5, 1067, 19411, 1593, 4869, 17338, 1528, 1175, 10756, 5815, 5, 8693, 1163, 1560, 1139, 1175, 4809, 1009, 7612, 5, 10653, 1108, 27918, 1175, 4809, 1009, 10143, 1108, 5, 5542, 4371, 1108, 2005, 1020, 3296, 2310, 23317, 1054, 4397, 6814, 3545, 1049, 8063, 1009, 4119, 1, 1138, 4113, 1155, 1088, 6155, 87, 1071, 1212, 5375, 19218, 1155, 20756, 1041, 1349, 1318, 3201, 1159, 4767, 20112, 87, 1071, 1212, 5375, 4767, 86, 3243, 1349, 3421, 1053, 1417, 1049, 17468, 1206, 2963, 11208, 20105, 1049, 8689, 23655, 1327, 1044, 4113, 21594, 1049, 1387, 2812, 1126, 23179, 4231, 1060, 3275, 1117, 1140, 1049, 13212, 11006, 18, 1026, 7809, 1060, 21083, 1009, 18381, 1214, 29201, 1327, 8903, 1159, 1413, 2507, 2450, 1018, 1349, 1026, 28097, 1344, 11349, 81, 1005, 1006, 21083, 1049, 1387, 1016, 1609, 5339, 1006, 12015, 16945, 1049, 1387, 2812, 1126, 1006, 2779, 1155, 20756, 1041, 25944, 1004, 10649, 9765, 1005, 2653, 1058, 18584, 1202, 1233, 26470, 94, 1034, 13638, 1126, 1044, 2991, 3201, 1847, 1764, 4763, 1026, 14059, 175, 5920, 4923, 7733, 1357, 4482, 26470, 94, 1377, 11387, 11533, 5588, 1044, 3239, 1009, 1834, 3880, 3478, 8769, 1060, 18555, 1009, 1963, 83, 1627, 26856, 1316, 6076, 1005, 21346, 1411, 15075, 1054, 7122, 19997, 3498, 1529, 1363, 11218, 1016, 10142, 23970, 7131, 1321, 71, 29251, 16584, 1620, 2643, 1094, 5337, 1009, 8623, 7165, 8846, 1114, 14309, 1126, 1309, 12524, 1046, 11819, 1009, 1834, 1184, 16304, 1879, 3813, 5970, 1187, 1155, 20756, 1041, 1096, 1006, 4397, 1155, 1088, 6155, 28245, 1060, 2531, 2963, 11208, 25966, 22762, 6144, 1098, 1203, 4175, 1519, 1043, 1026, 8853, 175, 5920, 4850, 1060, 19880, 21260, 1005, 1187, 5169, 9839, 20, 12509, 2916, 1009, 26914, 14441, 1060, 2779, 1155, 1088, 6155, 87, 1620, 5879, 1026, 3373, 7104, 1309, 1751, 1060, 2779, 21493, 10677, 1250, 1006, 4397, 6832, 1377, 1482, 6796, 1006, 1172, 6797, 1015, 3969, 1078, 1009, 1344, 11349, 4041, 7302, 12317, 2526, 2386, 1836, 19891, 1006, 3886, 27406, 1005, 8072, 1069, 1009, 1548, 1021, 2762, 3475, 1006, 2997, 7648, 1114, 4397, 4349, 1947, 84, 4383, 4358, 4472, 92, 2238, 6179, 19245, 1049, 1387, 2812, 1126, 1096, 23221, 1009, 1155, 20756, 1041, 1005, 19989, 1229, 1847, 1026, 1831, 19218, 5414, 1006, 1178, 4107, 5276, 6179, 19245, 11402, 11208, 20105, 3564, 24832, 15961, 1391, 1187, 2138, 2365, 1, 1106, 193, 79, 87, 27731, 1413, 158, 1590, 4479, 161, 1096, 1044, 2403, 1009, 8345, 1030, 1214, 13810, 1438, 1009, 10285, 7728, 1005, 4823, 1118, 16133, 1207, 7446, 10828, 12771, 4869, 20, 3126, 13294, 1159, 10852, 1009, 28881, 1233, 3536, 1049, 9504, 12535, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 14932, 5697, 2152, 4000, 1574, 1379, 11386, 1214, 1175, 1313, 1051, 20422, 1253, 1759, 4000, 14227, 1574, 1051, 1175, 1313, 27416, 1208, 4000, 3341, 1965, 6760, 85, 1175, 1313, 27416, 1108, 4000, 3008, 79, 1128, 1423, 19, 1321, 1175, 16479, 19, 1321, 3296, 2310, 23317, 1054, 4397, 19844, 1053, 3545, 1009, 28881, 1, 1941, 174, 84, 96, 13499, 240, 1269, 78, 242, 91, 2752, 78, 201, 9695, 149, 84, 1096, 1044, 2403, 1009, 8345, 1030, 1214, 13810, 1438, 1009, 3303, 7728, 1005, 4823, 1118, 22711, 2077, 8979, 1956, 1146, 1005, 1574, 1051, 1941, 26064, 9276, 3126, 13294, 1159, 10852, 1009, 28881, 1233, 3536, 1049, 9504, 11401, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 26953, 1434, 1082, 12706, 1270, 71, 6145, 3296, 2310, 23317, 1054, 4397, 19844, 1053, 3545, 1009, 28881, 1, 1067, 149, 1038, 158, 81, 157, 1106, 182, 8968, 79, 1096, 1044, 2403, 1009, 8345, 1030, 1214, 13810, 1438, 1009, 4127, 7728, 1005, 4823, 1118, 1313, 1089, 2899, 3498, 78, 4189, 20, 3126, 13294, 1159, 10852, 1009, 28881, 1233, 3536, 1049, 9504, 7057, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 10267, 1078, 1730, 8276, 1137, 5, 63, 20612, 24883, 9442, 59, 1498, 2695, 5785, 3385, 1056, 1193, 91, 1063, 1077, 11709, 71, 6145, 78, 1052, 6202, 91, 5, 63, 91, 29243, 11559, 1154, 3576, 1070, 1423, 1207, 17242, 3008, 1330, 95, 1313, 1051, 6170, 1013, 1692, 2397, 85, 19174, 1434, 1128, 1685, 4070, 3296, 2310, 23317, 1054, 4397, 19844, 1053, 3545, 1009, 28881, 1, 1084, 2889, 4568, 79, 1731, 1479, 1955, 96, 2049, 1096, 1044, 2403, 1009, 8345, 5409, 17632, 26405, 1577, 76, 4610, 5291, 1432, 88, 14918, 1009, 14719, 7728, 1005, 1023, 3247, 1981, 1118, 28395, 1205, 1018, 1045, 3965, 31829, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 21440, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 11976, 3082, 79, 1418, 1868, 1092, 20329, 1479, 1084, 2889, 4568, 79, 1731, 3341, 2344, 22538, 10366, 1479, 11422, 95, 16290, 96, 1061, 19174, 3101, 1699, 1344, 2363, 76, 9565, 1479, 2611, 3664, 4206, 83, 6599, 49, 3101, 1342, 10325, 22448, 3084, 1479, 675, 2345, 1731, 4206, 83, 6599, 49, 1024, 1342, 17571, 28877, 1479, 18876, 80, 1685, 9614, 26529, 1122, 3141, 1046, 2801, 3811, 148, 1479, 675, 675, 15175, 79, 16893, 1045, 1138, 2399, 177, 22545, 1479, 27679, 8805, 1267, 3141, 23601, 4815, 1095, 82, 1479, 675, 4341, 1018, 1358, 5, 675, 30584, 25952, 675, 1479, 1082, 8021, 8805, 1267, 18762, 1188, 6926, 1061, 1330, 1479, 4913, 88, 9614, 26529, 1122, 1691, 1461, 1084, 72, 4213, 1479, 19338, 91, 4206, 9907, 1467, 31486, 11126, 1207, 2363, 2958, 1479, 19338, 91, 4568, 79, 1731, 3996, 19800, 1088, 5311, 78, 1108, 1479, 30347, 1344, 6312, 90, 10664, 7848, 1882, 77, 31687, 2456, 17482, 1479, 6182, 3769, 1262, 5343, 21462, 1060, 12243, 1009, 14719, 3545, 1009, 8345, 5409, 17632, 1060, 12243, 3545, 1060, 4149, 1009, 14719, 3545, 1060, 4590, 1009, 14719, 3545, 1054, 4397, 9755, 3545, 1009, 8345, 5409, 17632, 1060, 4149, 1797, 1021, 1375, 1047, 23818, 1009, 3869, 1888, 3545, 1009, 8345, 5409, 17632, 1060, 4590, 1, 1156, 2579, 1167, 24959, 1925, 1096, 1044, 2403, 1009, 8345, 29685, 14918, 1009, 11260, 7728, 1005, 4823, 1118, 1207, 11256, 2077, 1387, 1226, 7170, 1024, 3158, 3126, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 16456, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 1537, 1134, 1281, 6138, 1079, 84, 8310, 1035, 18189, 96, 1019, 1175, 11310, 26425, 1171, 5, 1207, 11256, 2077, 1387, 1226, 7170, 7194, 5, 1570, 2781, 1387, 1226, 7170, 7194, 1175, 1570, 2781, 26425, 1171, 5, 1144, 11101, 9874, 1175, 4913, 88, 15947, 1363, 72, 2363, 13960, 1570, 4719, 1082, 2057, 1175, 7495, 1342, 3296, 2310, 23317, 1054, 4397, 9755, 3545, 1060, 12243, 1, 15860, 12797, 1375, 31569, 72, 2363, 1227, 1071, 4050, 1766, 4913, 74, 1689, 15, 1096, 1044, 2403, 1009, 8345, 29685, 14918, 1009, 6911, 7728, 1005, 4823, 1118, 3183, 19089, 1123, 3789, 2456, 8165, 10709, 5682, 1375, 1065, 3723, 1054, 4431, 1159, 2045, 1705, 2048, 2834, 1678, 1195, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 13673, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 10559, 27826, 4568, 22401, 96, 1175, 2397, 81, 1016, 12486, 1767, 1285, 148, 1759, 10384, 1434, 3769, 1020, 1175, 29616, 3008, 7011, 18082, 1078, 2399, 1175, 1603, 1167, 3180, 2555, 2253, 2677, 177, 3084, 4213, 1175, 12593, 148, 81, 2150, 1767, 17326, 82, 7861, 16490, 77, 1237, 5209, 1175, 1119, 3496, 14258, 21462, 15625, 1118, 3183, 19089, 1123, 3789, 2456, 8165, 10709, 3545, 1060, 12243, 1009, 6911, 3545, 1060, 4149, 1009, 6911, 3545, 1009, 8345, 1060, 12243, 3545, 1009, 8345, 1060, 4149, 3545, 17043, 1294, 28553, 3545, 1054, 4397, 9755, 1, 15860, 1313, 1330, 1096, 1044, 2403, 1009, 8345, 29685, 14918, 1009, 3977, 7728, 1005, 4823, 1118, 4510, 1423, 1073, 171, 82, 13004, 2652, 3126, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 7240, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 1537, 4191, 1342, 1163, 1171, 4529, 1175, 15860, 19338, 91, 5, 16035, 1092, 4138, 3788, 7467, 3333, 1175, 2397, 2571, 5, 12825, 1208, 23475, 1207, 1965, 82, 1175, 15463, 5, 27032, 1163, 7790, 84, 8165, 1014, 1175, 1344, 9324, 1358, 5343, 29694, 16825, 3936, 22278, 1587, 78, 5656, 1175, 1344, 9324, 1358, 5343, 5, 16774, 1882, 77, 3512, 1106, 2363, 1014, 1175, 12986, 25952, 3296, 2310, 23317, 1054, 4397, 9755, 3545, 1060, 12243, 3545, 1322, 1638, 5068, 1, 4833, 96, 1685, 1096, 1094, 6263, 10382, 1049, 3821, 1049, 4735, 79, 1060, 4112, 4074, 4952, 1009, 1067, 1392, 1135, 1005, 2413, 1009, 1067, 1392, 20661, 5153, 6967, 1009, 13253, 2284, 675, 7112, 4837, 2097, 2277, 1026, 1009, 7905, 2284, 2124, 1063, 6263, 5631, 1799, 9388, 1016, 5801, 7650, 8139, 2414, 1986, 16755, 1062, 4950, 1078, 1100, 1026, 12395, 5113, 1075, 150, 2561, 1017, 158, 675, 1049, 4037, 1009, 1633, 1051, 1171, 4950, 28500, 1079, 1717, 4833, 96, 5221, 7329, 17224, 1225, 2989, 1126, 13655, 6622, 3910, 4410, 1005, 1096, 16939, 1140, 8988, 1537, 1537, 1537, 19275, 6878, 1049, 4735, 79, 1759, 1392, 1135, 3995, 20702, 4074, 4952, 15, 1, 4378, 3922, 5632, 1271, 31503, 23008, 1213, 1531, 1083, 1009, 3268, 1072, 1901, 3278, 11634, 1221, 22855, 4484, 3772, 12776, 1124, 31503, 6189, 1016, 4331, 1327, 6944, 2905, 1072, 1531, 2322, 1009, 3268, 2691, 14319, 22855, 24431, 1288, 1026, 18860, 3270, 7718, 20, 1776, 1531, 1083, 1009, 3268, 1049, 11769, 20519, 1124, 14319, 1288, 1026, 18860, 3270, 7718, 5323, 1202, 1124, 31503, 6344, 1312, 1072, 1531, 1578, 1009, 3042, 3110, 11842, 1110, 1063, 15785, 1009, 7290, 2242, 15111, 7902, 1006, 17788, 1009, 3219, 1005, 13287, 23768, 17959, 1114, 4482, 1009, 15409, 1022, 7151, 1054, 30608, 15150, 2830, 25424, 7451, 1110, 5292, 2376, 1056, 1242, 1009, 10281, 30445, 18334, 1005, 1044, 1187, 5164, 1893, 14942, 1912, 2216, 3414, 14974, 1156, 1308, 1764, 15332, 1027, 2645, 3243, 15, 1009, 8502, 84, 7866, 10672, 1348, 1271, 3905, 1054, 2922, 1009, 675, 8502, 84, 1214, 1005, 19041, 1074, 28893, 3771, 12279, 1082, 16107, 20343, 2462, 6039, 8878, 1082, 7226, 1549, 1005, 1180, 6833, 1411, 1054, 8258, 1288, 15430, 1781, 1087, 2673, 28893, 2595, 7469, 1082, 16107, 20343, 1063, 1829, 1016, 1005, 3886, 26, 9734, 1054, 8941, 1059, 1082, 16107, 1130, 4660, 84, 1468, 1009, 1128, 1262, 1029, 18828, 1288, 23637, 2673, 3414, 14974, 7802, 1308, 8537, 675, 1005, 15540, 1144, 1685, 1009, 1082, 9336, 1295, 2528, 19550, 1102, 1679, 2193, 6214, 1078, 1229, 5751, 2642, 1034, 2495, 1005, 15556, 4391, 1009, 1082, 9336, 1295, 2528, 30890, 1009, 3584, 1144, 1468, 3414, 14974, 7802, 15, 1257, 5292, 1387, 6287, 3106, 2407, 71, 1302, 1349, 18334, 1009, 5621, 1075, 20, 28893, 1487, 1404, 1308, 6684, 1014, 1629, 16028, 1026, 6088, 1085, 3382, 1207, 1021, 13192, 28893, 1487, 9621, 1308, 1082, 16107, 1130, 4273, 88, 7437, 6088, 1939, 3306, 4307, 1017, 15, 1060, 1106, 11814, 12861, 5136, 3009, 11734, 20, 97, 1110, 1764, 1106, 1179, 1027, 1009, 30204, 11545, 5018, 1041, 1091, 1005, 5000, 2014, 1627, 1651, 3518, 1005, 28284, 1243, 1009, 5561, 7254, 1040, 1071, 5562, 31, 1308, 1764, 23775, 1100, 2642, 1430 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15409, 1302, 13762, 5, 1082, 2698, 3936, 2698, 1175, 27868, 1196, 5, 27245, 1082, 1575, 78, 158, 1175, 2487, 85, 1699, 5, 12250, 6257, 1252, 1175, 16860, 15409, 1302, 13762, 5, 2946, 1370, 2571, 1134, 2363, 21186, 1175, 24409, 15409, 1302, 13762, 5, 8528, 5537, 1079, 1020, 9014, 94, 1175, 25364, 1434, 1189, 15409, 1302, 13762, 5, 1123, 1191, 95, 1163, 4450, 74, 1175, 25364, 1434, 1189, 10986, 9902, 5, 17367, 1142, 2162, 1500, 71, 1699, 1175, 5644, 2192, 3788, 71, 1036, 1500, 5, 21454, 1396, 2988, 1020, 13762, 1175, 25364, 1434, 1189, 3788, 71, 1036, 1500, 5, 8985, 3753, 7698, 2450, 1175, 3753, 6629, 1061, 3296, 2310, 23317, 1054, 4397, 6814, 3545, 1049, 8063, 1, 3953, 89, 3498, 1078, 1096, 1044, 2403, 1009, 8345, 15849, 1009, 8163, 7728, 1005, 4823, 1118, 16860, 25088, 20, 3126, 13294, 1159, 10852, 1049, 8063, 1233, 3536, 1049, 9504, 15203, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 26953, 31802, 1082, 6655, 3624, 3008, 1079, 2571, 8851, 6170, 89, 4876, 1108, 1073, 7262, 3296, 2310, 23317, 1054, 4397, 6814, 3545, 1049, 8063, 1, 10143, 1108, 1096, 1044, 2403, 1009, 8345, 15849, 1009, 4119, 7728, 1005, 4823, 1118, 24899, 12497, 9233, 1326, 20, 3126, 13294, 1159, 10852, 1049, 8063, 1233, 3536, 1049, 9504, 7127, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 1537, 10143, 1108, 1570, 1129, 5705, 1070, 1528, 1175, 10143, 1108, 5, 10039, 11907, 2461, 1175, 7612, 5, 1082, 2570, 8141, 1119, 1732, 5760, 19167, 4273, 28717, 1021, 1175, 1067, 10384, 1434, 5, 27918, 5523, 91, 6538, 3645, 9584, 1020, 1175, 1123, 1191, 9442, 1106, 2816, 1041, 1163, 1079, 1021, 1175, 16758, 1012, 5, 1067, 19411, 1593, 4869, 17338, 1528, 1175, 10756, 5815, 5, 8693, 1163, 1560, 1139, 1175, 4809, 1009, 7612, 5, 10653, 1108, 27918, 1175, 4809, 1009, 10143, 1108, 5, 5542, 4371, 1108, 2005, 1020, 3296, 2310, 23317, 1054, 4397, 6814, 3545, 1049, 8063, 1009, 4119, 1, 1138, 4113, 1155, 1088, 6155, 87, 1071, 1212, 5375, 19218, 1155, 20756, 1041, 1349, 1318, 3201, 1159, 4767, 20112, 87, 1071, 1212, 5375, 4767, 86, 3243, 1349, 3421, 1053, 1417, 1049, 17468, 1206, 2963, 11208, 20105, 1049, 8689, 23655, 1327, 1044, 4113, 21594, 1049, 1387, 2812, 1126, 23179, 4231, 1060, 3275, 1117, 1140, 1049, 13212, 11006, 18, 1026, 7809, 1060, 21083, 1009, 18381, 1214, 29201, 1327, 8903, 1159, 1413, 2507, 2450, 1018, 1349, 1026, 28097, 1344, 11349, 81, 1005, 1006, 21083, 1049, 1387, 1016, 1609, 5339, 1006, 12015, 16945, 1049, 1387, 2812, 1126, 1006, 2779, 1155, 20756, 1041, 25944, 1004, 10649, 9765, 1005, 2653, 1058, 18584, 1202, 1233, 26470, 94, 1034, 13638, 1126, 1044, 2991, 3201, 1847, 1764, 4763, 1026, 14059, 175, 5920, 4923, 7733, 1357, 4482, 26470, 94, 1377, 11387, 11533, 5588, 1044, 3239, 1009, 1834, 3880, 3478, 8769, 1060, 18555, 1009, 1963, 83, 1627, 26856, 1316, 6076, 1005, 21346, 1411, 15075, 1054, 7122, 19997, 3498, 1529, 1363, 11218, 1016, 10142, 23970, 7131, 1321, 71, 29251, 16584, 1620, 2643, 1094, 5337, 1009, 8623, 7165, 8846, 1114, 14309, 1126, 1309, 12524, 1046, 11819, 1009, 1834, 1184, 16304, 1879, 3813, 5970, 1187, 1155, 20756, 1041, 1096, 1006, 4397, 1155, 1088, 6155, 28245, 1060, 2531, 2963, 11208, 25966, 22762, 6144, 1098, 1203, 4175, 1519, 1043, 1026, 8853, 175, 5920, 4850, 1060, 19880, 21260, 1005, 1187, 5169, 9839, 20, 12509, 2916, 1009, 26914, 14441, 1060, 2779, 1155, 1088, 6155, 87, 1620, 5879, 1026, 3373, 7104, 1309, 1751, 1060, 2779, 21493, 10677, 1250, 1006, 4397, 6832, 1377, 1482, 6796, 1006, 1172, 6797, 1015, 3969, 1078, 1009, 1344, 11349, 4041, 7302, 12317, 2526, 2386, 1836, 19891, 1006, 3886, 27406, 1005, 8072, 1069, 1009, 1548, 1021, 2762, 3475, 1006, 2997, 7648, 1114, 4397, 4349, 1947, 84, 4383, 4358, 4472, 92, 2238, 6179, 19245, 1049, 1387, 2812, 1126, 1096, 23221, 1009, 1155, 20756, 1041, 1005, 19989, 1229, 1847, 1026, 1831, 19218, 5414, 1006, 1178, 4107, 5276, 6179, 19245, 11402, 11208, 20105, 3564, 24832, 15961, 1391, 1187, 2138, 2365, 1, 1106, 193, 79, 87, 27731, 1413, 158, 1590, 4479, 161, 1096, 1044, 2403, 1009, 8345, 1030, 1214, 13810, 1438, 1009, 10285, 7728, 1005, 4823, 1118, 16133, 1207, 7446, 10828, 12771, 4869, 20, 3126, 13294, 1159, 10852, 1009, 28881, 1233, 3536, 1049, 9504, 12535, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 14932, 5697, 2152, 4000, 1574, 1379, 11386, 1214, 1175, 1313, 1051, 20422, 1253, 1759, 4000, 14227, 1574, 1051, 1175, 1313, 27416, 1208, 4000, 3341, 1965, 6760, 85, 1175, 1313, 27416, 1108, 4000, 3008, 79, 1128, 1423, 19, 1321, 1175, 16479, 19, 1321, 3296, 2310, 23317, 1054, 4397, 19844, 1053, 3545, 1009, 28881, 1, 1941, 174, 84, 96, 13499, 240, 1269, 78, 242, 91, 2752, 78, 201, 9695, 149, 84, 1096, 1044, 2403, 1009, 8345, 1030, 1214, 13810, 1438, 1009, 3303, 7728, 1005, 4823, 1118, 22711, 2077, 8979, 1956, 1146, 1005, 1574, 1051, 1941, 26064, 9276, 3126, 13294, 1159, 10852, 1009, 28881, 1233, 3536, 1049, 9504, 11401, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 26953, 1434, 1082, 12706, 1270, 71, 6145, 3296, 2310, 23317, 1054, 4397, 19844, 1053, 3545, 1009, 28881, 1, 1067, 149, 1038, 158, 81, 157, 1106, 182, 8968, 79, 1096, 1044, 2403, 1009, 8345, 1030, 1214, 13810, 1438, 1009, 4127, 7728, 1005, 4823, 1118, 1313, 1089, 2899, 3498, 78, 4189, 20, 3126, 13294, 1159, 10852, 1009, 28881, 1233, 3536, 1049, 9504, 7057, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 10267, 1078, 1730, 8276, 1137, 5, 63, 20612, 24883, 9442, 59, 1498, 2695, 5785, 3385, 1056, 1193, 91, 1063, 1077, 11709, 71, 6145, 78, 1052, 6202, 91, 5, 63, 91, 29243, 11559, 1154, 3576, 1070, 1423, 1207, 17242, 3008, 1330, 95, 1313, 1051, 6170, 1013, 1692, 2397, 85, 19174, 1434, 1128, 1685, 4070, 3296, 2310, 23317, 1054, 4397, 19844, 1053, 3545, 1009, 28881, 1, 1084, 2889, 4568, 79, 1731, 1479, 1955, 96, 2049, 1096, 1044, 2403, 1009, 8345, 5409, 17632, 26405, 1577, 76, 4610, 5291, 1432, 88, 14918, 1009, 14719, 7728, 1005, 1023, 3247, 1981, 1118, 28395, 1205, 1018, 1045, 3965, 31829, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 21440, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 11976, 3082, 79, 1418, 1868, 1092, 20329, 1479, 1084, 2889, 4568, 79, 1731, 3341, 2344, 22538, 10366, 1479, 11422, 95, 16290, 96, 1061, 19174, 3101, 1699, 1344, 2363, 76, 9565, 1479, 2611, 3664, 4206, 83, 6599, 49, 3101, 1342, 10325, 22448, 3084, 1479, 675, 2345, 1731, 4206, 83, 6599, 49, 1024, 1342, 17571, 28877, 1479, 18876, 80, 1685, 9614, 26529, 1122, 3141, 1046, 2801, 3811, 148, 1479, 675, 675, 15175, 79, 16893, 1045, 1138, 2399, 177, 22545, 1479, 27679, 8805, 1267, 3141, 23601, 4815, 1095, 82, 1479, 675, 4341, 1018, 1358, 5, 675, 30584, 25952, 675, 1479, 1082, 8021, 8805, 1267, 18762, 1188, 6926, 1061, 1330, 1479, 4913, 88, 9614, 26529, 1122, 1691, 1461, 1084, 72, 4213, 1479, 19338, 91, 4206, 9907, 1467, 31486, 11126, 1207, 2363, 2958, 1479, 19338, 91, 4568, 79, 1731, 3996, 19800, 1088, 5311, 78, 1108, 1479, 30347, 1344, 6312, 90, 10664, 7848, 1882, 77, 31687, 2456, 17482, 1479, 6182, 3769, 1262, 5343, 21462, 1060, 12243, 1009, 14719, 3545, 1009, 8345, 5409, 17632, 1060, 12243, 3545, 1060, 4149, 1009, 14719, 3545, 1060, 4590, 1009, 14719, 3545, 1054, 4397, 9755, 3545, 1009, 8345, 5409, 17632, 1060, 4149, 1797, 1021, 1375, 1047, 23818, 1009, 3869, 1888, 3545, 1009, 8345, 5409, 17632, 1060, 4590, 1, 1156, 2579, 1167, 24959, 1925, 1096, 1044, 2403, 1009, 8345, 29685, 14918, 1009, 11260, 7728, 1005, 4823, 1118, 1207, 11256, 2077, 1387, 1226, 7170, 1024, 3158, 3126, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 16456, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 1537, 1134, 1281, 6138, 1079, 84, 8310, 1035, 18189, 96, 1019, 1175, 11310, 26425, 1171, 5, 1207, 11256, 2077, 1387, 1226, 7170, 7194, 5, 1570, 2781, 1387, 1226, 7170, 7194, 1175, 1570, 2781, 26425, 1171, 5, 1144, 11101, 9874, 1175, 4913, 88, 15947, 1363, 72, 2363, 13960, 1570, 4719, 1082, 2057, 1175, 7495, 1342, 3296, 2310, 23317, 1054, 4397, 9755, 3545, 1060, 12243, 1, 15860, 12797, 1375, 31569, 72, 2363, 1227, 1071, 4050, 1766, 4913, 74, 1689, 15, 1096, 1044, 2403, 1009, 8345, 29685, 14918, 1009, 6911, 7728, 1005, 4823, 1118, 3183, 19089, 1123, 3789, 2456, 8165, 10709, 5682, 1375, 1065, 3723, 1054, 4431, 1159, 2045, 1705, 2048, 2834, 1678, 1195, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 13673, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 10559, 27826, 4568, 22401, 96, 1175, 2397, 81, 1016, 12486, 1767, 1285, 148, 1759, 10384, 1434, 3769, 1020, 1175, 29616, 3008, 7011, 18082, 1078, 2399, 1175, 1603, 1167, 3180, 2555, 2253, 2677, 177, 3084, 4213, 1175, 12593, 148, 81, 2150, 1767, 17326, 82, 7861, 16490, 77, 1237, 5209, 1175, 1119, 3496, 14258, 21462, 15625, 1118, 3183, 19089, 1123, 3789, 2456, 8165, 10709, 3545, 1060, 12243, 1009, 6911, 3545, 1060, 4149, 1009, 6911, 3545, 1009, 8345, 1060, 12243, 3545, 1009, 8345, 1060, 4149, 3545, 17043, 1294, 28553, 3545, 1054, 4397, 9755, 1, 15860, 1313, 1330, 1096, 1044, 2403, 1009, 8345, 29685, 14918, 1009, 3977, 7728, 1005, 4823, 1118, 4510, 1423, 1073, 171, 82, 13004, 2652, 3126, 13294, 1159, 10852, 1060, 12243, 1233, 3536, 1049, 9504, 7240, 14107, 1357, 7299, 1009, 9522, 1005, 7564, 30866, 30258, 11663, 1537, 4191, 1342, 1163, 1171, 4529, 1175, 15860, 19338, 91, 5, 16035, 1092, 4138, 3788, 7467, 3333, 1175, 2397, 2571, 5, 12825, 1208, 23475, 1207, 1965, 82, 1175, 15463, 5, 27032, 1163, 7790, 84, 8165, 1014, 1175, 1344, 9324, 1358, 5343, 29694, 16825, 3936, 22278, 1587, 78, 5656, 1175, 1344, 9324, 1358, 5343, 5, 16774, 1882, 77, 3512, 1106, 2363, 1014, 1175, 12986, 25952, 3296, 2310, 23317, 1054, 4397, 9755, 3545, 1060, 12243, 3545, 1322, 1638, 5068, 1, 4833, 96, 1685, 1096, 1094, 6263, 10382, 1049, 3821, 1049, 4735, 79, 1060, 4112, 4074, 4952, 1009, 1067, 1392, 1135, 1005, 2413, 1009, 1067, 1392, 20661, 5153, 6967, 1009, 13253, 2284, 675, 7112, 4837, 2097, 2277, 1026, 1009, 7905, 2284, 2124, 1063, 6263, 5631, 1799, 9388, 1016, 5801, 7650, 8139, 2414, 1986, 16755, 1062, 4950, 1078, 1100, 1026, 12395, 5113, 1075, 150, 2561, 1017, 158, 675, 1049, 4037, 1009, 1633, 1051, 1171, 4950, 28500, 1079, 1717, 4833, 96, 5221, 7329, 17224, 1225, 2989, 1126, 13655, 6622, 3910, 4410, 1005, 1096, 16939, 1140, 8988, 1537, 1537, 1537, 19275, 6878, 1049, 4735, 79, 1759, 1392, 1135, 3995, 20702, 4074, 4952, 15, 1, 4378, 3922, 5632, 1271, 31503, 23008, 1213, 1531, 1083, 1009, 3268, 1072, 1901, 3278, 11634, 1221, 22855, 4484, 3772, 12776, 1124, 31503, 6189, 1016, 4331, 1327, 6944, 2905, 1072, 1531, 2322, 1009, 3268, 2691, 14319, 22855, 24431, 1288, 1026, 18860, 3270, 7718, 20, 1776, 1531, 1083, 1009, 3268, 1049, 11769, 20519, 1124, 14319, 1288, 1026, 18860, 3270, 7718, 5323, 1202, 1124, 31503, 6344, 1312, 1072, 1531, 1578, 1009, 3042, 3110, 11842, 1110, 1063, 15785, 1009, 7290, 2242, 15111, 7902, 1006, 17788, 1009, 3219, 1005, 13287, 23768, 17959, 1114, 4482, 1009, 15409, 1022, 7151, 1054, 30608, 15150, 2830, 25424, 7451, 1110, 5292, 2376, 1056, 1242, 1009, 10281, 30445, 18334, 1005, 1044, 1187, 5164, 1893, 14942, 1912, 2216, 3414, 14974, 1156, 1308, 1764, 15332, 1027, 2645, 3243, 15, 1009, 8502, 84, 7866, 10672, 1348, 1271, 3905, 1054, 2922, 1009, 675, 8502, 84, 1214, 1005, 19041, 1074, 28893, 3771, 12279, 1082, 16107, 20343, 2462, 6039, 8878, 1082, 7226, 1549, 1005, 1180, 6833, 1411, 1054, 8258, 1288, 15430, 1781, 1087, 2673, 28893, 2595, 7469, 1082, 16107, 20343, 1063, 1829, 1016, 1005, 3886, 26, 9734, 1054, 8941, 1059, 1082, 16107, 1130, 4660, 84, 1468, 1009, 1128, 1262, 1029, 18828, 1288, 23637, 2673, 3414, 14974, 7802, 1308, 8537, 675, 1005, 15540, 1144, 1685, 1009, 1082, 9336, 1295, 2528, 19550, 1102, 1679, 2193, 6214, 1078, 1229, 5751, 2642, 1034, 2495, 1005, 15556, 4391, 1009, 1082, 9336, 1295, 2528, 30890, 1009, 3584, 1144, 1468, 3414, 14974, 7802, 15, 1257, 5292, 1387, 6287, 3106, 2407, 71, 1302, 1349, 18334, 1009, 5621, 1075, 20, 28893, 1487, 1404, 1308, 6684, 1014, 1629, 16028, 1026, 6088, 1085, 3382, 1207, 1021, 13192, 28893, 1487, 9621, 1308, 1082, 16107, 1130, 4273, 88, 7437, 6088, 1939, 3306, 4307, 1017, 15, 1060, 1106, 11814, 12861, 5136, 3009, 11734, 20, 97, 1110, 1764, 1106, 1179, 1027, 1009, 30204, 11545, 5018, 1041, 1091, 1005, 5000, 2014, 1627, 1651, 3518, 1005, 28284, 1243, 1009, 5561, 7254, 1040, 1071, 5562, 31, 1308, 1764, 23775, 1100, 2642, 1430 ]

[ 17191, 1005, 6273, 10940, 1726, 5477, 1053, 1728, 1138, 5497, 9096, 1006, 2323, 1049, 4431, 1080, 4027, 2196, 5133, 1048, 3901, 7930, 14907, 13534, 1027, 1206, 1581, 1032, 1627, 1114, 10893, 1068, 1026, 4894, 4908, 3878, 1026, 23835, 3351, 1253, 1096, 22986, 1159, 1026, 7355, 1009, 23835, 4492, 4551, 1930, 2920, 1870, 1823, 1930, 28300, 1930, 10580, 1302, 23234, 21734, 15835, 1127, 1930, 5501, 9459, 1402, 2239, 3276, 1347, 4534, 3812, 19286, 16009, 3351, 4566, 8446, 84, 7198, 1128, 28595, 25000, 1128, 28595, 1068, 13111, 2324, 8103, 6737, 1054, 2800, 1006, 16848, 1298, 3371, 10017, 1009, 23835, 3351, 1253, 1114, 4044, 7572, 7755, 9189, 1394, 1005, 31163, 1044, 3360, 3010, 2502, 1016, 1365, 3978, 1005, 13111, 2829, 11190, 1159, 2229, 1916, 2034, 11335, 31749, 8545, 2829, 3043, 1312, 1043, 2054, 1016, 1100, 15345, 1159, 2653, 4090, 1005, 3181, 1544, 7629, 2241, 10218, 18, 1150, 19660, 18513, 1026, 9197, 2100, 16584, 1072, 2268, 4088, 1327, 16892, 1312, 1009, 2924, 2596, 20, 14429, 1184, 2266, 1322, 1132, 15991, 31749, 1005, 6273, 10940, 1049, 23835, 3351, 1253, 1072, 3041, 2096, 3144, 14285, 12741, 11825, 1655, 0, 67, 1797, 23286, 32, 44, 10704, 8801, 1221, 16340, 2555, 19286, 12298, 2890, 14283, 12298, 1223, 5216, 16009, 3351, 1253, 29275, 5812, 1054, 1535, 4721, 1758, 1049, 23835, 3351, 1253, 1114, 1834, 26883, 1759, 1014, 9563, 5838, 9027, 2866, 1017, 15, 1049, 23835, 3351, 1253, 1890, 1006, 9850, 1298, 1178, 5077, 2309, 6273, 12741, 1159, 1044, 1187, 3145, 6863, 1009, 4461, 1187, 3171, 21700, 1040, 1097, 1918, 14668, 1072, 20816, 13985, 1184, 1322, 1124, 11335, 1049, 23835, 3351, 1253, 1114, 1834, 26883, 1072, 3407, 1048, 6856, 6383, 1075, 3351, 1253, 7940, 7738, 32, 1026, 1048, 6071, 11855, 1005, 11335, 2555, 19286, 16009, 3351, 4566, 29523, 9684, 3467, 2324, 8103, 6737, 1054, 16009, 3351, 1253, 7940, 7738, 32, 1026, 1048, 6071, 11855, 1005, 11335, 6170, 1222, 2455, 3046, 1060, 2261, 1126, 1124, 11335, 1049, 23835, 3351, 1253, 2823, 7738, 1693, 1178, 2635, 1400, 2966, 9240, 17191, 1005, 6273, 3214, 5345, 13985, 1184, 7, 3713, 4337, 1026, 1048, 1096, 23835, 3351, 1253, 2823, 7738, 37, 5153, 1132, 6273, 5479, 1229, 1026, 23835, 3351, 1253, 1096, 1094, 24264, 7192, 1206, 10712, 1048, 1298, 10505, 1294, 1184, 19459, 15183, 7008, 2453, 1060, 3028, 2573, 3301, 5796, 1437, 75, 14951, 1006, 18776, 1592, 8, 1096, 1094, 7565, 11298, 18063, 1114, 3583, 1049, 1138, 1470, 6463, 1009, 5196, 76, 1554, 19338, 1117, 22509, 1213, 15044, 30251, 1485, 1400, 1687, 1096, 1044, 1008, 6217, 1049, 8299, 1823, 11812, 1005, 9083, 8233, 1, 2079, 3763, 22138, 15823, 1068, 11140, 6147, 1305, 1106, 3180, 4213, 33, 4243, 1976, 1178, 1235, 23844, 13624, 19924, 2079, 3763, 22138, 1746, 23232, 8560, 1179, 1526, 1195, 29787, 5615, 1049, 1144, 28127, 1114, 1305, 1803, 1005, 7374, 1029, 1609, 1026, 6881, 1068, 1852, 1049, 1163, 2363, 1358, 1027, 1533, 1410, 10686, 9580, 3727, 10913, 11582, 1175, 1984, 28064, 1605, 4594, 6856, 1224, 11992, 1068, 1006, 1852, 1049, 3848, 20428, 1358, 1100, 1717, 1026, 6969, 19553, 20856, 1072, 3867, 12475, 1726, 2182, 2975, 1072, 22860, 5705, 4475, 1138, 15823, 1060, 5096, 2429, 9307, 1195, 4435, 1599, 1493, 1054, 16376, 1187, 7337, 1072, 6147, 1048, 1026, 6304, 7694, 4243, 2079, 3763, 7412, 1663, 1068, 5149, 1224, 22106, 1424, 1106, 3180, 4213, 17073, 1100, 1026, 11852, 24184, 3798, 1079, 1043, 4243, 1054, 1235, 2269, 23190, 4169, 1068, 1111, 29130, 1006, 11143, 1049, 3709, 1179, 1526, 2909, 1006, 3583, 1009, 3314, 4257, 1365, 1132, 2475, 14396, 20, 8335, 1026, 13099, 1160, 3798, 1079, 1043, 1026, 10711, 1049, 1319, 1051, 3426, 2340, 4388, 15518, 26554, 3613, 11492, 1026, 2011, 1195, 6888, 1068, 1006, 24672, 7643, 1371, 1094, 9168, 1030, 2672, 1049, 11852, 1502, 15931, 1357, 7461, 1206, 1160, 1009, 2125, 1743, 5157, 1043, 18549, 1045, 1263, 1072, 4478, 8977, 18, 1206, 1006, 3583, 1009, 2882, 74, 17013, 1072, 25821, 5700, 1026, 4478, 1184, 12137, 1343, 1533, 11390, 6778, 1112, 1049, 6881, 7412, 1261, 9947, 15988, 33, 4687, 18, 21550, 27724, 21816, 9316, 5393, 1780, 1005, 1228, 1444, 1045, 33, 10866, 6061, 7169, 2611, 1051, 1061, 7429, 18549, 1045, 1263, 8126, 5004, 17013, 1349, 19905, 1029, 1262, 10061, 1005, 1144, 1221, 28816, 1279, 33, 9129, 1554, 1, 1073, 18591, 25292, 1024, 5311, 1144, 15039, 28968, 4631, 1175, 9437, 1364, 3020, 29409, 1491, 2503, 1017, 28968, 2672, 1479, 4632, 1009, 16290, 1035, 7409, 1009, 24470, 2098, 18591, 25292, 1024, 16637, 7767, 1187, 27363, 1064, 31056, 1074, 1142, 23, 1479, 1142, 26, 5142, 6793, 2393, 45, 4212, 13076, 1106, 11326, 6767, 41, 4517, 39, 53, 2818, 1142, 23, 1142, 23, 1142, 24, 1142, 25, 1142, 26, 1128, 2944, 1142, 27, 6793, 2393, 45, 4212, 1142, 3071, 28971, 51, 11365, 13076, 1106, 2713, 7826, 5462, 6307, 53, 2545, 1144, 2393, 60, 2428, 25196, 8638, 13086, 59, 2321, 2982, 1084, 25196, 8638, 46, 7309, 9696, 124, 25337, 13889, 10723, 4501, 4528, 1082, 1353, 1368, 3461, 1005, 1106, 11258, 4875, 1134, 1040, 31911, 7054, 1144, 15039, 1246, 28968, 4631, 24663, 9703, 2164, 1142, 3640, 40, 2053, 2164, 1842, 1082, 145, 7844, 5356, 2428, 1842, 1144, 2393, 60, 2428, 18814, 11326, 132, 56, 30168, 7915, 58, 3083, 7309, 3642, 1128, 3642, 40, 132, 51, 1142, 27, 1005, 1067, 1999, 3943, 9802, 85, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1048, 4319, 1072, 2823, 18404, 1096, 1006, 18940, 1009, 2252, 1124, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591, 29539, 1930, 1048, 1298, 1178, 16902, 1118, 4320, 4034, 2100, 5296, 2758, 1112, 1005, 3044, 2477, 1027, 1049, 9802, 85, 23970, 4631, 9189, 1046, 1026, 3090, 1060, 2921, 23371, 20891, 1009, 5959, 1114, 2413, 29539, 1024, 1005, 1072, 4798, 7511, 20, 2494, 3501, 2404, 8608, 1961, 1989, 2568, 3759, 7261, 1096, 3509, 1009, 12371, 3380, 23262, 1206, 10646, 1382, 8594, 1034, 1049, 9802, 85, 23970, 24336, 1138, 1048, 1096, 12371, 3380, 23262, 1049, 9802, 85, 23970, 4631, 37, 3943, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1048, 4319, 1072, 2823, 18404, 1096, 1006, 18940, 1009, 2252, 1124, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591, 29539, 1930, 1048, 1298, 1178, 16902, 1118, 4320, 4034, 1406, 7845, 4942, 9881, 1313, 14470, 1358, 13738, 18, 21085, 4896, 1291, 1049, 21812, 9424, 2875, 15039, 1048, 1058, 2259, 1342, 1463, 5852, 29539, 1024, 1005, 5418, 1615, 1060, 1860, 1814, 1249, 1407, 1029, 1365, 1142, 26, 1005, 1067, 25, 1005, 5420, 1098, 1512, 1112, 3073, 6600, 1005, 3378, 11150, 1068, 1006, 22287, 7511, 20, 1138, 9802, 85, 23970, 13779, 1048, 1096, 1006, 2751, 22084, 1049, 1008, 18591, 5418, 9464, 1096, 1026, 1712, 9802, 85, 1049, 20056, 1063, 24329, 1791, 21863, 1749, 2565, 1026, 1144, 2393, 60, 53, 1128, 8182, 18862, 1005, 1026, 1144, 2393, 60, 53, 18814, 12202, 2982, 20, 1063, 5959, 23970, 2672, 1096, 9189, 1140, 1357, 30521, 1049, 9802, 85, 23970, 4631, 1206, 1357, 6690, 1060, 5987, 1322, 1026, 9802, 1667, 13271, 9802, 85, 1049, 2823, 6819, 1005, 1026, 2751, 9802, 85, 1187, 3948, 6248, 11199, 1026, 23970, 4631, 1096, 9110, 1356, 1008, 18591, 29539, 1024, 1005, 2309, 27363, 1048, 21802, 1060, 4886, 1050, 1640, 1133, 4050, 29539, 1024, 1495, 1006, 5994, 1050, 1640, 1133, 4050, 5418, 1615, 20, 2013, 1264, 1048, 24809, 1124, 9065, 13375, 1049, 20, 1138, 1073, 18591, 25292, 1024, 1138, 1008, 18591, 29539, 1930, 5062, 1072, 5109, 1049, 31043, 1008, 1135, 1273, 1096, 1006, 20730, 4260, 1049, 1008, 18591, 1064, 23932, 3498, 1139, 1615, 20, 2013, 4215, 9110, 2691, 17479, 7767, 1187, 2125, 4181, 27363, 1064, 31056, 1074, 1005, 1751, 1049, 28061, 1005, 1054, 13063, 1187, 4278, 1264, 6706, 1094, 12236, 1049, 3810, 9802, 85, 4481, 2137, 1221, 1704, 1008, 18591, 29539, 1024, 1096, 9110, 2309, 21863, 7767, 1187, 2848, 4181, 27363, 1064, 31056, 4846, 1766, 21863, 7767, 1049, 3810, 9802, 85, 29539, 1930, 1187, 27363, 5418, 5322, 1005, 1187, 27363, 1023, 10258, 162, 1909, 1010, 14360, 1026, 1008, 18591, 5418, 27853, 10258, 162, 1909, 1667, 1063, 1119, 10274, 5264, 40, 14303, 4824, 16837, 1144, 2393, 60, 2428, 7463, 2980, 56, 15104, 16679, 58, 2428, 20, 21331, 1144, 15039, 1738, 73, 1192, 1897, 4863, 1101, 19, 1144, 15039, 1006, 1189, 15835, 1712, 1307, 19, 1144, 15039, 1624, 18255, 1049, 18166, 20, 1138, 9802, 85, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1049, 2823, 1005, 1096, 9110, 1357, 18940, 1271, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 2013, 2512, 8356, 1048, 1006, 5959, 23970, 2672, 1160, 1096, 1094, 5946, 1118, 4384, 26915, 1309, 1841, 1026, 4635, 4852, 1009, 1734, 17100, 1187, 2688, 1006, 1172, 1640, 5897, 1009, 5804, 1096, 1026, 18032, 1073, 10093, 62, 53, 1142, 3640, 40, 2053, 20, 3204, 1008, 18591, 1325, 11073, 1114, 1751, 5547, 1049, 31043, 1008, 1135, 1016, 16812, 8830, 1679, 5684, 28323, 1010, 1271, 1050, 1640, 1133, 9432, 1064, 31056, 4846, 2013, 9110, 2309, 21863, 26341, 5322, 1187, 2125, 4181, 27363, 1064, 31056, 1074, 1005, 1357, 1712, 1751, 1049, 5512, 9802, 85, 29539, 1024, 1142, 2081, 1142, 2084, 1142, 25, 1005, 1142, 26, 1005, 1044, 11223, 1210, 1593, 1104, 15462, 1009, 1128, 23, 2084, 6485, 1044, 11223, 1213, 1008, 18591, 5418, 1615, 14765, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1049, 2823, 18404, 1096, 1006, 18940, 1009, 2252, 1124, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591, 29539, 1930, 1048, 1298, 1178, 16902, 1118, 4320, 1704, 9802, 85, 23970, 4631, 1096, 9110, 1118, 1307, 11353, 1018, 9802, 8538, 1142, 2471, 50, 27, 1005, 1067, 23, 2464, 1009, 2453, 1049, 5979, 1419, 1133, 72, 9464, 1114, 2413, 29539, 1930, 21802, 1118, 1380, 30747, 8745, 1005, 1058, 28536, 14140, 1026, 1008, 18591, 29539, 3144, 1119, 1214, 22371, 1026, 9802, 85, 23970, 13779, 1048, 31286, 1357, 2413, 6166, 175, 1133, 1126, 1751, 5547, 1023, 11096, 2170, 1114, 1751, 2500, 3608, 1049, 7995, 8015, 1058, 21635, 1054, 2208, 1099, 1010, 1048, 2054, 1040, 1495, 1026, 5768, 1704, 9802, 85, 23970, 4631, 1096, 1026, 1184, 28828, 1009, 1664, 1132, 27363, 1049, 2823, 6819, 1479, 8372, 1026, 1837, 1321, 94, 1233, 2413, 29539, 1024, 27019, 1309, 1006, 12395, 1160, 3904, 1009, 1235, 27744, 1005, 1841, 1060, 5959, 16902, 1118, 5806, 1006, 1011, 1034, 3185, 30246, 1048, 15436, 2916, 1009, 26449, 1060, 2779, 1005, 1298, 7907, 1493, 13761, 6302, 1424, 1036, 3587, 1054, 1783, 1043, 5293, 1006, 2323, 1187, 7631, 2864, 1006, 5959, 1072, 9802, 85, 23970, 13779, 1712, 9802, 85, 15338, 1065, 1669, 1049, 2823, 18404, 1141, 2002, 7859, 1043, 4805, 24855, 1005, 4957, 8548, 1233, 6520, 10603, 1049, 9802, 85, 1054, 4380, 1043, 1132, 20193, 6660, 2271, 1006, 2413, 29539, 1024, 1495, 1132, 3948, 21911, 20, 2013, 1264, 1026, 4553, 1357, 3028, 16788, 20, 3404, 10137, 11582, 9469, 25328, 6109, 10709, 1199, 14759, 1096, 11044, 1009, 20863, 3253, 6268, 1685, 1049, 4288, 1009, 11827, 1060, 2828, 3517, 1009, 9963, 19794, 2351, 5945, 20354, 1060, 4983, 12149, 1009, 1138, 2701, 1568, 1065, 4624, 1009, 10213, 1005, 4654, 24142, 1054, 7564, 1060, 1587, 19667, 1357, 8305, 2321, 6524, 43, 21249, 20, 1138, 1008, 18591, 29539, 1024, 1096, 4553, 1357, 1098, 1512, 1112, 1009, 1807, 1751, 1187, 3948, 6248, 11199, 1847, 8183, 25747, 3057, 19651, 2203, 10939, 1487, 7320, 2987, 1009, 1663, 22627, 1016, 1068, 20927, 1006, 5959, 23970, 29813, 1138, 1048, 1096, 1026, 9802, 85, 23970, 4631, 37, 2013, 1044, 9802, 85, 1493, 2512, 2453, 1049, 2823, 26090, 8466, 1197, 1072, 1008, 18591, 5418, 9464, 1094, 3444, 1009, 27363, 4725, 1114, 1751, 7511, 1271, 3880, 1273, 1048, 1318, 1096, 3806, 1009, 2413, 29539, 3281, 1139, 5304, 18664, 1026, 1073, 18591, 25292, 1010, 1139, 2586, 1235, 27363, 1006, 2413, 1048, 1752, 1044, 1762, 7151, 1005, 1569, 6298, 1210, 1458, 29218, 20, 1144, 15039, 28968, 4631, 25292, 1024, 7807, 1144, 1512, 3461, 3292, 1174, 14024, 16290, 1035, 1056, 1065, 3253, 18159, 1047, 16340, 10930, 1263, 16340, 24335, 29404, 6463, 8276, 1092, 9224, 7906, 1526, 1551, 19896, 5949, 1098, 17220, 2088, 20193, 1049, 15446, 4452, 1026, 1531, 76, 3668, 1183, 1005, 3905, 1060, 20, 19867, 1731, 10715, 2223, 10313, 4475, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17191, 1005, 6273, 10940, 1726, 5477, 1053, 1728, 1138, 5497, 9096, 1006, 2323, 1049, 4431, 1080, 4027, 2196, 5133, 1048, 3901, 7930, 14907, 13534, 1027, 1206, 1581, 1032, 1627, 1114, 10893, 1068, 1026, 4894, 4908, 3878, 1026, 23835, 3351, 1253, 1096, 22986, 1159, 1026, 7355, 1009, 23835, 4492, 4551, 1930, 2920, 1870, 1823, 1930, 28300, 1930, 10580, 1302, 23234, 21734, 15835, 1127, 1930, 5501, 9459, 1402, 2239, 3276, 1347, 4534, 3812, 19286, 16009, 3351, 4566, 8446, 84, 7198, 1128, 28595, 25000, 1128, 28595, 1068, 13111, 2324, 8103, 6737, 1054, 2800, 1006, 16848, 1298, 3371, 10017, 1009, 23835, 3351, 1253, 1114, 4044, 7572, 7755, 9189, 1394, 1005, 31163, 1044, 3360, 3010, 2502, 1016, 1365, 3978, 1005, 13111, 2829, 11190, 1159, 2229, 1916, 2034, 11335, 31749, 8545, 2829, 3043, 1312, 1043, 2054, 1016, 1100, 15345, 1159, 2653, 4090, 1005, 3181, 1544, 7629, 2241, 10218, 18, 1150, 19660, 18513, 1026, 9197, 2100, 16584, 1072, 2268, 4088, 1327, 16892, 1312, 1009, 2924, 2596, 20, 14429, 1184, 2266, 1322, 1132, 15991, 31749, 1005, 6273, 10940, 1049, 23835, 3351, 1253, 1072, 3041, 2096, 3144, 14285, 12741, 11825, 1655, 0, 67, 1797, 23286, 32, 44, 10704, 8801, 1221, 16340, 2555, 19286, 12298, 2890, 14283, 12298, 1223, 5216, 16009, 3351, 1253, 29275, 5812, 1054, 1535, 4721, 1758, 1049, 23835, 3351, 1253, 1114, 1834, 26883, 1759, 1014, 9563, 5838, 9027, 2866, 1017, 15, 1049, 23835, 3351, 1253, 1890, 1006, 9850, 1298, 1178, 5077, 2309, 6273, 12741, 1159, 1044, 1187, 3145, 6863, 1009, 4461, 1187, 3171, 21700, 1040, 1097, 1918, 14668, 1072, 20816, 13985, 1184, 1322, 1124, 11335, 1049, 23835, 3351, 1253, 1114, 1834, 26883, 1072, 3407, 1048, 6856, 6383, 1075, 3351, 1253, 7940, 7738, 32, 1026, 1048, 6071, 11855, 1005, 11335, 2555, 19286, 16009, 3351, 4566, 29523, 9684, 3467, 2324, 8103, 6737, 1054, 16009, 3351, 1253, 7940, 7738, 32, 1026, 1048, 6071, 11855, 1005, 11335, 6170, 1222, 2455, 3046, 1060, 2261, 1126, 1124, 11335, 1049, 23835, 3351, 1253, 2823, 7738, 1693, 1178, 2635, 1400, 2966, 9240, 17191, 1005, 6273, 3214, 5345, 13985, 1184, 7, 3713, 4337, 1026, 1048, 1096, 23835, 3351, 1253, 2823, 7738, 37, 5153, 1132, 6273, 5479, 1229, 1026, 23835, 3351, 1253, 1096, 1094, 24264, 7192, 1206, 10712, 1048, 1298, 10505, 1294, 1184, 19459, 15183, 7008, 2453, 1060, 3028, 2573, 3301, 5796, 1437, 75, 14951, 1006, 18776, 1592, 8, 1096, 1094, 7565, 11298, 18063, 1114, 3583, 1049, 1138, 1470, 6463, 1009, 5196, 76, 1554, 19338, 1117, 22509, 1213, 15044, 30251, 1485, 1400, 1687, 1096, 1044, 1008, 6217, 1049, 8299, 1823, 11812, 1005, 9083, 8233, 1, 2079, 3763, 22138, 15823, 1068, 11140, 6147, 1305, 1106, 3180, 4213, 33, 4243, 1976, 1178, 1235, 23844, 13624, 19924, 2079, 3763, 22138, 1746, 23232, 8560, 1179, 1526, 1195, 29787, 5615, 1049, 1144, 28127, 1114, 1305, 1803, 1005, 7374, 1029, 1609, 1026, 6881, 1068, 1852, 1049, 1163, 2363, 1358, 1027, 1533, 1410, 10686, 9580, 3727, 10913, 11582, 1175, 1984, 28064, 1605, 4594, 6856, 1224, 11992, 1068, 1006, 1852, 1049, 3848, 20428, 1358, 1100, 1717, 1026, 6969, 19553, 20856, 1072, 3867, 12475, 1726, 2182, 2975, 1072, 22860, 5705, 4475, 1138, 15823, 1060, 5096, 2429, 9307, 1195, 4435, 1599, 1493, 1054, 16376, 1187, 7337, 1072, 6147, 1048, 1026, 6304, 7694, 4243, 2079, 3763, 7412, 1663, 1068, 5149, 1224, 22106, 1424, 1106, 3180, 4213, 17073, 1100, 1026, 11852, 24184, 3798, 1079, 1043, 4243, 1054, 1235, 2269, 23190, 4169, 1068, 1111, 29130, 1006, 11143, 1049, 3709, 1179, 1526, 2909, 1006, 3583, 1009, 3314, 4257, 1365, 1132, 2475, 14396, 20, 8335, 1026, 13099, 1160, 3798, 1079, 1043, 1026, 10711, 1049, 1319, 1051, 3426, 2340, 4388, 15518, 26554, 3613, 11492, 1026, 2011, 1195, 6888, 1068, 1006, 24672, 7643, 1371, 1094, 9168, 1030, 2672, 1049, 11852, 1502, 15931, 1357, 7461, 1206, 1160, 1009, 2125, 1743, 5157, 1043, 18549, 1045, 1263, 1072, 4478, 8977, 18, 1206, 1006, 3583, 1009, 2882, 74, 17013, 1072, 25821, 5700, 1026, 4478, 1184, 12137, 1343, 1533, 11390, 6778, 1112, 1049, 6881, 7412, 1261, 9947, 15988, 33, 4687, 18, 21550, 27724, 21816, 9316, 5393, 1780, 1005, 1228, 1444, 1045, 33, 10866, 6061, 7169, 2611, 1051, 1061, 7429, 18549, 1045, 1263, 8126, 5004, 17013, 1349, 19905, 1029, 1262, 10061, 1005, 1144, 1221, 28816, 1279, 33, 9129, 1554, 1, 1073, 18591, 25292, 1024, 5311, 1144, 15039, 28968, 4631, 1175, 9437, 1364, 3020, 29409, 1491, 2503, 1017, 28968, 2672, 1479, 4632, 1009, 16290, 1035, 7409, 1009, 24470, 2098, 18591, 25292, 1024, 16637, 7767, 1187, 27363, 1064, 31056, 1074, 1142, 23, 1479, 1142, 26, 5142, 6793, 2393, 45, 4212, 13076, 1106, 11326, 6767, 41, 4517, 39, 53, 2818, 1142, 23, 1142, 23, 1142, 24, 1142, 25, 1142, 26, 1128, 2944, 1142, 27, 6793, 2393, 45, 4212, 1142, 3071, 28971, 51, 11365, 13076, 1106, 2713, 7826, 5462, 6307, 53, 2545, 1144, 2393, 60, 2428, 25196, 8638, 13086, 59, 2321, 2982, 1084, 25196, 8638, 46, 7309, 9696, 124, 25337, 13889, 10723, 4501, 4528, 1082, 1353, 1368, 3461, 1005, 1106, 11258, 4875, 1134, 1040, 31911, 7054, 1144, 15039, 1246, 28968, 4631, 24663, 9703, 2164, 1142, 3640, 40, 2053, 2164, 1842, 1082, 145, 7844, 5356, 2428, 1842, 1144, 2393, 60, 2428, 18814, 11326, 132, 56, 30168, 7915, 58, 3083, 7309, 3642, 1128, 3642, 40, 132, 51, 1142, 27, 1005, 1067, 1999, 3943, 9802, 85, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1048, 4319, 1072, 2823, 18404, 1096, 1006, 18940, 1009, 2252, 1124, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591, 29539, 1930, 1048, 1298, 1178, 16902, 1118, 4320, 4034, 2100, 5296, 2758, 1112, 1005, 3044, 2477, 1027, 1049, 9802, 85, 23970, 4631, 9189, 1046, 1026, 3090, 1060, 2921, 23371, 20891, 1009, 5959, 1114, 2413, 29539, 1024, 1005, 1072, 4798, 7511, 20, 2494, 3501, 2404, 8608, 1961, 1989, 2568, 3759, 7261, 1096, 3509, 1009, 12371, 3380, 23262, 1206, 10646, 1382, 8594, 1034, 1049, 9802, 85, 23970, 24336, 1138, 1048, 1096, 12371, 3380, 23262, 1049, 9802, 85, 23970, 4631, 37, 3943, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1048, 4319, 1072, 2823, 18404, 1096, 1006, 18940, 1009, 2252, 1124, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591, 29539, 1930, 1048, 1298, 1178, 16902, 1118, 4320, 4034, 1406, 7845, 4942, 9881, 1313, 14470, 1358, 13738, 18, 21085, 4896, 1291, 1049, 21812, 9424, 2875, 15039, 1048, 1058, 2259, 1342, 1463, 5852, 29539, 1024, 1005, 5418, 1615, 1060, 1860, 1814, 1249, 1407, 1029, 1365, 1142, 26, 1005, 1067, 25, 1005, 5420, 1098, 1512, 1112, 3073, 6600, 1005, 3378, 11150, 1068, 1006, 22287, 7511, 20, 1138, 9802, 85, 23970, 13779, 1048, 1096, 1006, 2751, 22084, 1049, 1008, 18591, 5418, 9464, 1096, 1026, 1712, 9802, 85, 1049, 20056, 1063, 24329, 1791, 21863, 1749, 2565, 1026, 1144, 2393, 60, 53, 1128, 8182, 18862, 1005, 1026, 1144, 2393, 60, 53, 18814, 12202, 2982, 20, 1063, 5959, 23970, 2672, 1096, 9189, 1140, 1357, 30521, 1049, 9802, 85, 23970, 4631, 1206, 1357, 6690, 1060, 5987, 1322, 1026, 9802, 1667, 13271, 9802, 85, 1049, 2823, 6819, 1005, 1026, 2751, 9802, 85, 1187, 3948, 6248, 11199, 1026, 23970, 4631, 1096, 9110, 1356, 1008, 18591, 29539, 1024, 1005, 2309, 27363, 1048, 21802, 1060, 4886, 1050, 1640, 1133, 4050, 29539, 1024, 1495, 1006, 5994, 1050, 1640, 1133, 4050, 5418, 1615, 20, 2013, 1264, 1048, 24809, 1124, 9065, 13375, 1049, 20, 1138, 1073, 18591, 25292, 1024, 1138, 1008, 18591, 29539, 1930, 5062, 1072, 5109, 1049, 31043, 1008, 1135, 1273, 1096, 1006, 20730, 4260, 1049, 1008, 18591, 1064, 23932, 3498, 1139, 1615, 20, 2013, 4215, 9110, 2691, 17479, 7767, 1187, 2125, 4181, 27363, 1064, 31056, 1074, 1005, 1751, 1049, 28061, 1005, 1054, 13063, 1187, 4278, 1264, 6706, 1094, 12236, 1049, 3810, 9802, 85, 4481, 2137, 1221, 1704, 1008, 18591, 29539, 1024, 1096, 9110, 2309, 21863, 7767, 1187, 2848, 4181, 27363, 1064, 31056, 4846, 1766, 21863, 7767, 1049, 3810, 9802, 85, 29539, 1930, 1187, 27363, 5418, 5322, 1005, 1187, 27363, 1023, 10258, 162, 1909, 1010, 14360, 1026, 1008, 18591, 5418, 27853, 10258, 162, 1909, 1667, 1063, 1119, 10274, 5264, 40, 14303, 4824, 16837, 1144, 2393, 60, 2428, 7463, 2980, 56, 15104, 16679, 58, 2428, 20, 21331, 1144, 15039, 1738, 73, 1192, 1897, 4863, 1101, 19, 1144, 15039, 1006, 1189, 15835, 1712, 1307, 19, 1144, 15039, 1624, 18255, 1049, 18166, 20, 1138, 9802, 85, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1049, 2823, 1005, 1096, 9110, 1357, 18940, 1271, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 2013, 2512, 8356, 1048, 1006, 5959, 23970, 2672, 1160, 1096, 1094, 5946, 1118, 4384, 26915, 1309, 1841, 1026, 4635, 4852, 1009, 1734, 17100, 1187, 2688, 1006, 1172, 1640, 5897, 1009, 5804, 1096, 1026, 18032, 1073, 10093, 62, 53, 1142, 3640, 40, 2053, 20, 3204, 1008, 18591, 1325, 11073, 1114, 1751, 5547, 1049, 31043, 1008, 1135, 1016, 16812, 8830, 1679, 5684, 28323, 1010, 1271, 1050, 1640, 1133, 9432, 1064, 31056, 4846, 2013, 9110, 2309, 21863, 26341, 5322, 1187, 2125, 4181, 27363, 1064, 31056, 1074, 1005, 1357, 1712, 1751, 1049, 5512, 9802, 85, 29539, 1024, 1142, 2081, 1142, 2084, 1142, 25, 1005, 1142, 26, 1005, 1044, 11223, 1210, 1593, 1104, 15462, 1009, 1128, 23, 2084, 6485, 1044, 11223, 1213, 1008, 18591, 5418, 1615, 14765, 23970, 4631, 1096, 1026, 1712, 9802, 85, 1049, 2823, 18404, 1096, 1006, 18940, 1009, 2252, 1124, 14510, 9802, 8538, 1049, 1008, 18591, 29539, 3144, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591, 29539, 1930, 1048, 1298, 1178, 16902, 1118, 4320, 1704, 9802, 85, 23970, 4631, 1096, 9110, 1118, 1307, 11353, 1018, 9802, 8538, 1142, 2471, 50, 27, 1005, 1067, 23, 2464, 1009, 2453, 1049, 5979, 1419, 1133, 72, 9464, 1114, 2413, 29539, 1930, 21802, 1118, 1380, 30747, 8745, 1005, 1058, 28536, 14140, 1026, 1008, 18591, 29539, 3144, 1119, 1214, 22371, 1026, 9802, 85, 23970, 13779, 1048, 31286, 1357, 2413, 6166, 175, 1133, 1126, 1751, 5547, 1023, 11096, 2170, 1114, 1751, 2500, 3608, 1049, 7995, 8015, 1058, 21635, 1054, 2208, 1099, 1010, 1048, 2054, 1040, 1495, 1026, 5768, 1704, 9802, 85, 23970, 4631, 1096, 1026, 1184, 28828, 1009, 1664, 1132, 27363, 1049, 2823, 6819, 1479, 8372, 1026, 1837, 1321, 94, 1233, 2413, 29539, 1024, 27019, 1309, 1006, 12395, 1160, 3904, 1009, 1235, 27744, 1005, 1841, 1060, 5959, 16902, 1118, 5806, 1006, 1011, 1034, 3185, 30246, 1048, 15436, 2916, 1009, 26449, 1060, 2779, 1005, 1298, 7907, 1493, 13761, 6302, 1424, 1036, 3587, 1054, 1783, 1043, 5293, 1006, 2323, 1187, 7631, 2864, 1006, 5959, 1072, 9802, 85, 23970, 13779, 1712, 9802, 85, 15338, 1065, 1669, 1049, 2823, 18404, 1141, 2002, 7859, 1043, 4805, 24855, 1005, 4957, 8548, 1233, 6520, 10603, 1049, 9802, 85, 1054, 4380, 1043, 1132, 20193, 6660, 2271, 1006, 2413, 29539, 1024, 1495, 1132, 3948, 21911, 20, 2013, 1264, 1026, 4553, 1357, 3028, 16788, 20, 3404, 10137, 11582, 9469, 25328, 6109, 10709, 1199, 14759, 1096, 11044, 1009, 20863, 3253, 6268, 1685, 1049, 4288, 1009, 11827, 1060, 2828, 3517, 1009, 9963, 19794, 2351, 5945, 20354, 1060, 4983, 12149, 1009, 1138, 2701, 1568, 1065, 4624, 1009, 10213, 1005, 4654, 24142, 1054, 7564, 1060, 1587, 19667, 1357, 8305, 2321, 6524, 43, 21249, 20, 1138, 1008, 18591, 29539, 1024, 1096, 4553, 1357, 1098, 1512, 1112, 1009, 1807, 1751, 1187, 3948, 6248, 11199, 1847, 8183, 25747, 3057, 19651, 2203, 10939, 1487, 7320, 2987, 1009, 1663, 22627, 1016, 1068, 20927, 1006, 5959, 23970, 29813, 1138, 1048, 1096, 1026, 9802, 85, 23970, 4631, 37, 2013, 1044, 9802, 85, 1493, 2512, 2453, 1049, 2823, 26090, 8466, 1197, 1072, 1008, 18591, 5418, 9464, 1094, 3444, 1009, 27363, 4725, 1114, 1751, 7511, 1271, 3880, 1273, 1048, 1318, 1096, 3806, 1009, 2413, 29539, 3281, 1139, 5304, 18664, 1026, 1073, 18591, 25292, 1010, 1139, 2586, 1235, 27363, 1006, 2413, 1048, 1752, 1044, 1762, 7151, 1005, 1569, 6298, 1210, 1458, 29218, 20, 1144, 15039, 28968, 4631, 25292, 1024, 7807, 1144, 1512, 3461, 3292, 1174, 14024, 16290, 1035, 1056, 1065, 3253, 18159, 1047, 16340, 10930, 1263, 16340, 24335, 29404, 6463, 8276, 1092, 9224, 7906, 1526, 1551, 19896, 5949, 1098, 17220, 2088, 20193, 1049, 15446, 4452, 1026, 1531, 76, 3668, 1183, 1005, 3905, 1060, 20, 19867, 1731, 10715, 2223, 10313, 4475, 1063, 5959, 23970, 2672, 1298, 1178, 16902, 1357, 30521, 3960, 9802, 85, 1206, 1118, 22627, 1027, 1009, 3473, 11353, 9802, 2669, 1049, 1008, 18591 ]

[ 3664, 20758, 17067, 1009, 4132, 7107, 1312, 1114, 23072, 27117, 1166, 2365, 13312, 11905, 1009, 4132, 4428, 1312, 1054, 7365, 11358, 1, 2397, 4719, 1205, 6084, 3183, 76, 8871, 16835, 4989, 1844, 1009, 3383, 1009, 1696, 7362, 1096, 1094, 9938, 1291, 14762, 30575, 25502, 1005, 1944, 3897, 14762, 1114, 7669, 2642, 2260, 18, 1006, 4659, 1072, 9987, 1782, 1049, 13769, 1009, 19545, 1060, 1313, 5250, 20, 8785, 1291, 1054, 4727, 1273, 3134, 1779, 7268, 1313, 58, 2722, 1847, 1791, 4313, 7268, 1009, 1313, 5250, 3114, 2041, 23912, 1054, 4579, 1005, 1924, 1019, 3691, 80, 1052, 1054, 12034, 1005, 1044, 3479, 1009, 10322, 25723, 1054, 19545, 25427, 1072, 24289, 9019, 1009, 4879, 2308, 1482, 21536, 7434, 1213, 2790, 1009, 18913, 1073, 2530, 89, 1803, 7918, 1026, 9712, 22463, 14653, 1006, 1944, 9236, 1060, 2042, 1049, 15157, 4011, 1054, 3945, 5175, 2286, 3734, 1009, 2992, 1009, 30815, 4857, 1235, 1831, 3479, 1009, 10322, 25723, 1463, 19545, 25427, 1049, 24441, 1060, 8809, 1213, 2790, 1009, 12083, 4285, 1229, 17772, 1006, 1944, 1472, 1054, 1048, 1094, 7779, 5092, 4715, 1026, 3479, 1175, 2125, 1734, 9938, 1573, 23279, 3251, 2624, 1043, 13161, 5989, 5425, 3512, 1338, 2048, 5217, 2816, 4228, 1078, 1330, 6667, 1209, 10321, 1349, 13464, 1270, 1344, 6844, 4228, 1078, 1330, 6667, 1209, 2226, 6877, 1005, 10660, 15055, 3106, 1432, 1615, 1423, 9019, 3973, 1005, 3175, 9019, 3977, 15184, 3228, 7224, 2286, 675, 1083, 1009, 3113, 1009, 8936, 9529, 1235, 1853, 13769, 1009, 4727, 1273, 1844, 0, 2269, 1114, 2919, 1060, 1313, 5250, 20, 5024, 1853, 13769, 1054, 2987, 1096, 12085, 2081, 16164, 1054, 1158, 1009, 2436, 1009, 16202, 3183, 76, 8871, 1195, 1006, 20147, 1049, 13769, 29362, 1054, 2595, 1009, 3261, 1009, 4210, 20660, 3241, 20467, 1233, 21096, 1049, 3175, 9019, 29362, 1009, 19545, 1054, 7230, 3183, 76, 8871, 30334, 1058, 21884, 1726, 9297, 1009, 19545, 1184, 2909, 1250, 4564, 1054, 15528, 5024, 3189, 2845, 1054, 7267, 1213, 8900, 1044, 1156, 13913, 1009, 3910, 3319, 1054, 12765, 1005, 5587, 1235, 1831, 1313, 5250, 1054, 26573, 1163, 1856, 1184, 1101, 1313, 5250, 23129, 1054, 3113, 1009, 4229, 1005, 3403, 1009, 7434, 1005, 28615, 1124, 31022, 28940, 1453, 1049, 24289, 5535, 3933, 9454, 1992, 1213, 7835, 3886, 5178, 1009, 19545, 7381, 1110, 2702, 1874, 29362, 1005, 21466, 4093, 19192, 1006, 6534, 15157, 1679, 1782, 2864, 11782, 6226, 1357, 4809, 1048, 2257, 31024, 1054, 7648, 1049, 9180, 1068, 3659, 1853, 1072, 14540, 2174, 23408, 14351, 2322, 1058, 7209, 1068, 1006, 26453, 1005, 9239, 1124, 14807, 3145, 1187, 2848, 10322, 25723, 89, 1151, 10651, 2255, 19151, 1124, 26281, 1009, 19545, 1009, 13471, 1330, 6667, 1209, 1054, 4152, 1005, 1049, 3175, 9019, 1054, 15573, 2505, 1253, 75, 1006, 1782, 1377, 3621, 1049, 13769, 29362, 1060, 27692, 9472, 1005, 13234, 1357, 5773, 2751, 1009, 1044, 8552, 1060, 1313, 5250, 1072, 4210, 1561, 18263, 1020, 11389, 1159, 24344, 1060, 4422, 20, 1482, 9033, 4713, 1094, 10899, 4317, 8194, 1068, 6534, 15157, 1357, 2929, 86, 1364, 74, 1699, 2342, 11968, 1571, 1318, 12081, 14099, 1996, 1009, 26343, 1024, 1026, 4288, 20, 4490, 31860, 3560, 4317, 8194, 2569, 3183, 76, 8871, 19482, 1357, 1156, 5250, 1071, 15054, 1399, 2352, 1034, 1133, 18263, 1020, 14116, 15, 2383, 10376, 1049, 1901, 7230, 8331, 1157, 1094, 4600, 1009, 4110, 620, 28, 1054, 1224, 1944, 10946, 1114, 1428, 1195, 21096, 1291, 1049, 1144, 7521, 39, 9927, 1723, 12492, 89, 1009, 4210, 1175, 4155, 8576, 1357, 17355, 7378, 1108, 2346, 24149, 1175, 675, 1005, 4064, 1006, 8236, 1006, 1101, 1377, 3621, 1072, 13769, 1060, 1156, 5250, 2378, 11374, 1398, 1341, 1110, 22254, 620, 22022, 20862, 4210, 1005, 6813, 1620, 1072, 13461, 21466, 21667, 23734, 1371, 16233, 1213, 13461, 3467, 1060, 27692, 9472, 1026, 1048, 1160, 1006, 18158, 1009, 10889, 1782, 7268, 1005, 8236, 2089, 1487, 9107, 1009, 19545, 6789, 13461, 20, 4789, 11590, 4053, 1159, 3186, 27, 0, 20, 1049, 1784, 1054, 19545, 1005, 1779, 10301, 0, 20, 1054, 2987, 1113, 17816, 3528, 1235, 1831, 1901, 10677, 1250, 1159, 15213, 3183, 76, 8871, 6303, 4774, 1645, 1124, 2987, 1005, 25970, 1463, 4727, 1273, 1048, 1566, 1050, 4888, 1847, 1184, 1949, 10028, 1846, 1009, 1235, 1831, 8552, 1049, 1901, 1060, 1313, 5250, 1054, 4143, 1014, 1013, 2196, 1068, 1026, 1428, 30931, 2860, 2458, 1800, 1006, 24689, 1005, 1006, 7779, 2697, 1461, 1847, 21096, 3382, 3748, 3183, 76, 8871, 12835, 88, 1072, 11894, 8905, 4116, 2729, 1049, 4183, 4311, 3205, 1054, 4727, 1273, 1132, 1156, 13913, 89, 1009, 5568, 1041, 4314, 2356, 77, 6977, 1633, 8099, 27736, 12958, 1349, 1764, 4989, 14572, 1071, 1258, 1010, 1043, 13055, 16859, 15554, 15, 1005, 4790, 81, 4190, 6977, 23287, 20845, 2233, 17446, 1349, 2247, 1009, 8236, 1006, 1852, 1054, 1062, 1165, 7308, 29534, 3936, 1014, 6977, 23287, 20845, 2233, 17446, 1565, 4490, 1944, 4455, 1054, 5773, 2751, 1009, 10322, 25723, 2755, 1054, 13471, 1330, 6667, 6420, 3027, 1159, 28655, 8398, 1007, 17511, 7104, 1072, 1428, 18413, 1159, 4270, 5076, 1005, 1327, 13685, 1312, 1114, 1944, 8404, 1118, 25472, 4387, 9089, 1248, 1005, 1082, 16450, 18217, 1122, 1054, 2666, 14028, 18, 1043, 2156, 3229, 1005, 15787, 1005, 3251, 4686, 1009, 9178, 10357, 620, 2443, 1779, 620, 28, 1005, 1675, 620, 29, 1565, 4083, 3945, 21764, 1009, 4229, 1054, 17086, 4857, 1044, 11803, 1213, 2790, 1009, 11440, 1082, 4175, 26342, 11396, 2286, 11689, 3027, 1159, 28655, 14600, 4190, 9059, 1870, 28615, 1006, 1944, 1852, 1009, 19545, 1114, 1313, 5250, 1072, 1313, 5250, 1009, 1603, 1075, 2170, 1114, 3757, 7715, 7654, 1026, 1831, 3479, 1009, 1313, 5250, 1072, 22390, 9019, 20, 1424, 3592, 3526, 1489, 1273, 6224, 1072, 7835, 3114, 1005, 28615, 1026, 1853, 13769, 1060, 3560, 1054, 4727, 1273, 13306, 0, 20, 8248, 1054, 3186, 1009, 27251, 1063, 2323, 27067, 2397, 4719, 1033, 4835, 5966, 19713, 1043, 14600, 4190, 28946, 1113, 20390, 3528, 3209, 1006, 7779, 3183, 76, 8871, 10178, 1218, 1014, 7032, 1233, 15657, 8404, 1049, 24441, 1060, 17342, 6594, 1026, 28486, 23222, 26023, 15255, 1009, 3399, 1520, 1005, 7032, 1726, 18276, 28940, 1453, 1009, 21049, 1214, 1054, 15100, 1005, 1114, 2922, 3092, 1187, 20007, 1846, 1060, 7967, 1009, 12981, 18, 6594, 1026, 1313, 5250, 1009, 25790, 5112, 1054, 28287, 1424, 3005, 18413, 1072, 7835, 4110, 1049, 1784, 1357, 1944, 16991, 1776, 3175, 5535, 3933, 1054, 11689, 1687, 2521, 1224, 1853, 4600, 1054, 10322, 25723, 89, 1114, 14382, 1213, 8236, 1124, 18276, 28940, 8409, 31579, 1124, 26108, 9592, 9451, 13331, 28, 1049, 8552, 1463, 12569, 1179, 1728, 5059, 1212, 1573, 25505, 1049, 1561, 1160, 2467, 2241, 2072, 6794, 1054, 1044, 10322, 25723, 2271, 21440, 1511, 28207, 3777, 1905, 1005, 13962, 15459, 19460, 9686, 1726, 18276, 1009, 1852, 1009, 1313, 1053, 5352, 74, 9513, 1776, 19496, 1487, 12787, 5671, 4693, 23688, 1248, 12722, 15, 1009, 14844, 1687, 1381, 2924, 1807, 25712, 9454, 1726, 26281, 1005, 10931, 1657, 1068, 1006, 7779, 4953, 9592, 9451, 13331, 23, 1049, 14881, 4475, 1424, 3005, 24304, 1068, 1006, 3621, 1009, 13331, 4406, 1072, 13769, 5178, 1113, 24064, 18204, 2790, 1009, 9059, 1870, 3183, 76, 8871, 4064, 1054, 1224, 1944, 1852, 1009, 1044, 1313, 5250, 12722, 1054, 15429, 1803, 1068, 1054, 9033, 675, 20790, 1009, 13471, 1330, 6667, 1209, 1118, 1094, 1168, 1444, 1031, 23974, 2800, 28946, 1058, 11957, 91, 2865, 1054, 1313, 1053, 5352, 74, 3529, 1571, 9389, 20232, 1114, 1944, 31646, 3183, 76, 8871, 6139, 1048, 1072, 2277, 14299, 14128, 7779, 1043, 1006, 15849, 30132, 1119, 1182, 6351, 3169, 3158, 1972, 1124, 19734, 1009, 15013, 2037, 3183, 76, 8871, 1836, 2728, 1236, 1463, 19545, 25427, 1213, 2790, 1009, 9881, 6088, 1100, 1005, 1009, 3808, 3907, 3661, 1094, 8764, 1114, 5773, 14250, 3994, 1009, 18913, 1073, 2530, 89, 3158, 8106, 1463, 25427, 7035, 4108, 1114, 6559, 1068, 2228, 1956, 21163, 14808, 1031, 1005, 2457, 1114, 14250, 3183, 76, 8871, 1005, 1073, 2530, 19404, 10670, 1975, 1213, 4537, 1114, 12341, 8409, 1005, 4850, 1060, 9348, 3068, 19983, 6594, 1656, 1009, 20157, 1006, 6915, 1049, 11803, 3313, 1133, 76, 8871, 1005, 1073, 2530, 19404, 1058, 9751, 1124, 6316, 13574, 1006, 3524, 1094, 9236, 25502, 1072, 15157, 1114, 8211, 29936, 1006, 4600, 1009, 6318, 1082, 4175, 1051, 1803, 1048, 9048, 1006, 1422, 0, 13072, 1054, 22839, 1063, 9236, 1195, 1094, 1271, 1184, 10678, 12803, 1118, 4306, 6863, 32, 1006, 8764, 5857, 1094, 3757, 1996, 1060, 6222, 1187, 22171, 1229, 1566, 1048, 9389, 1160, 5588, 9423, 2072, 2797, 1273, 1043, 3183, 76, 8871, 20227, 1054, 3404, 0, 2269, 1072, 13769, 1009, 19545, 1060, 1313, 58, 2722, 1005, 1073, 2530, 19404, 1657, 1114, 4658, 0, 3621, 20, 15460, 1160, 5588, 3819, 25614, 1009, 1514, 3890, 22474, 1054, 1650, 1089, 1229, 1043, 1006, 3808, 9209, 1847, 1094, 9348, 1114, 3595, 6525, 1434, 8528, 9228, 1054, 3403, 1009, 16669, 14887, 1677, 1006, 25712, 8112, 1412, 5878, 1795, 1358, 19, 13666, 89, 1271, 19545, 7730, 2012, 32, 2848, 1463, 31022, 1009, 1852, 1717, 1006, 7779, 1030, 1358, 6464, 2861, 28957, 5992, 1005, 1205, 8535, 1035, 1093, 30666, 1005, 1184, 2848, 1114, 6915, 1357, 9236, 1009, 9712, 96, 1802, 2494, 13058, 1411, 2252, 1124, 19545, 7730, 2012, 8651, 13270, 32, 1114, 1944, 8404, 4088, 13685, 1412, 1124, 11749, 27977, 1048, 2829, 26108, 9592, 9451, 13331, 29, 1049, 8552, 33, 1463, 12569, 1179, 1273, 1006, 7779, 1030, 1358, 6464, 20200, 1043, 12823, 1078, 9452, 2861, 162, 225, 17780, 3893, 1048, 1195, 13331, 23, 1049, 1784, 1054, 2987, 1005, 13331, 2830, 1054, 4727, 1273, 1005, 1006, 18943, 30575, 1009, 11025, 1294, 2987, 8904, 158, 1076, 1205, 8535, 1792, 225, 1220, 150, 33, 1114, 18276, 13685, 1412, 1124, 3252, 20760, 26108, 9592, 9451, 13331, 26, 1049, 14881, 2037, 1048, 1201, 2241, 1043, 24907, 28684, 4285, 1133, 81, 4134, 1330, 1678, 17355, 1271, 19545, 25427, 1009, 6747, 1141, 4328, 20, 23, 1049, 1784, 1054, 19545, 1005, 17355, 1009, 1487, 10322, 25723, 89, 1009, 19545, 33, 1114, 6915, 1049, 9712, 22463, 13685, 1412, 1006, 7779, 16945, 1048, 2284, 2281, 1852, 1291, 1054, 1313, 1053, 5352, 17063, 1072, 1592, 12686, 1005, 20200, 1043, 2231, 1937, 1205, 1018, 84, 3097, 1006, 17355, 25502, 1009, 19545, 1009, 6747, 1141, 4328, 20, 23, 1049, 1784, 1054, 4727, 1273, 1005, 17355, 1009, 1307, 10322, 25723, 89, 1009, 19545, 10774, 1124, 14673, 3273, 12740, 1043, 1119, 1182, 6351, 23633, 1687, 1058, 6293, 16417, 30860, 1049, 1313, 5250, 1009, 4833, 26968, 24228, 1068, 1026, 1028, 0, 3295, 1049, 7118, 675, 1776, 8552, 7715, 1026, 1313, 5250, 12722, 1009, 14709, 4088, 14110, 1213, 3479, 13064, 1157, 1006, 7779, 1028, 0, 1083, 1049, 14881, 2037, 1082, 1396, 1219, 9892, 25885, 1051, 12144, 1463, 5634, 1273, 1006, 3838, 7779, 1344, 1302, 1014, 6265, 5992, 12565, 95, 72, 1956, 1342, 1114, 19997, 675, 1005, 1006, 7779, 4953, 1009, 5773, 13331, 28, 1114, 7223, 2252, 1054, 31949, 3443, 1229, 1043, 20356, 14653, 1026, 1831, 7835, 1158, 1060, 2042, 1049, 15157, 1009, 7779, 7926, 1049, 3878, 1005, 1026, 1831, 3479, 1009, 1313, 5250, 12722, 1009, 3183, 19089, 3158, 1063, 12447, 15137, 13691, 1009, 3183, 76, 8871, 6895, 1072, 1313, 5250, 12722, 1009, 1062, 1441, 8099, 1065, 1803, 1114, 3757, 7715, 1571, 1687, 1005, 1119, 1182, 6351, 11986, 27116, 1159, 16417, 30860, 1916, 1424, 3005, 3183, 76, 8871, 7032, 1213, 9361, 1009, 1028, 0, 2128, 1049, 7118, 12956, 1133, 76, 8871, 4064, 1213, 23484, 1009, 1224, 3560, 1072, 3175, 9019, 1009, 19742, 3720, 4064, 1357, 1944, 1472, 1233, 1094, 21096, 1009, 10322, 25723, 18, 1847, 1318, 1006, 1944, 21096, 1009, 3175, 9019, 1009, 1119, 1182, 6351, 3169, 3158, 3126, 1006, 1944, 5092, 1006, 4537, 2072, 6794, 1054, 1044, 10322, 25723, 1054, 19545, 25505, 2271, 3512, 1338, 2048, 5217, 14986, 1054, 2454, 3218, 8335, 1072, 18776, 12728, 1956, 1049, 1083, 0, 2279, 1114, 12341, 8409, 3183, 76, 8871, 12099, 1079, 1009, 14983, 7134, 2784, 4481, 8140, 1224, 21790, 1005, 22574, 1043, 8068, 15518, 1114, 3516, 5304, 3720, 2569, 1048, 19557, 1026, 2666, 1054, 1094, 7182, 1009, 5249, 1728, 20324, 1195, 9819, 1069, 1044, 25267, 1337, 1072, 3080, 1303, 1049, 7995, 8015, 1234, 13233, 3183, 76, 8871, 1006, 19557, 1026, 13461, 9938, 6567, 1356, 8330, 1009, 19742, 1424, 1006, 12341, 8409, 3183, 76, 8871, 9529, 1235, 1853, 13769, 1114, 14382, 1026, 9361, 1009, 1028, 0, 2523, 4727, 1291, 1049, 5108, 1006, 1657, 1487, 3328, 1060, 1028, 0, 12505, 1006, 21595, 1937, 2124, 9184, 7211, 2281, 17355, 1049, 14881, 2037, 4834, 31024, 1365, 1124, 2256, 3460, 20, 1776, 1531, 3734, 1009, 3042, 1054, 12014, 1294, 2138, 2365, 2457, 2397, 4719, 1195, 11916, 1236, 1006, 675, 1094, 5980, 1680, 10952, 1236, 1054, 1235, 25561, 1068, 3371, 1114, 9273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3664, 20758, 17067, 1009, 4132, 7107, 1312, 1114, 23072, 27117, 1166, 2365, 13312, 11905, 1009, 4132, 4428, 1312, 1054, 7365, 11358, 1, 2397, 4719, 1205, 6084, 3183, 76, 8871, 16835, 4989, 1844, 1009, 3383, 1009, 1696, 7362, 1096, 1094, 9938, 1291, 14762, 30575, 25502, 1005, 1944, 3897, 14762, 1114, 7669, 2642, 2260, 18, 1006, 4659, 1072, 9987, 1782, 1049, 13769, 1009, 19545, 1060, 1313, 5250, 20, 8785, 1291, 1054, 4727, 1273, 3134, 1779, 7268, 1313, 58, 2722, 1847, 1791, 4313, 7268, 1009, 1313, 5250, 3114, 2041, 23912, 1054, 4579, 1005, 1924, 1019, 3691, 80, 1052, 1054, 12034, 1005, 1044, 3479, 1009, 10322, 25723, 1054, 19545, 25427, 1072, 24289, 9019, 1009, 4879, 2308, 1482, 21536, 7434, 1213, 2790, 1009, 18913, 1073, 2530, 89, 1803, 7918, 1026, 9712, 22463, 14653, 1006, 1944, 9236, 1060, 2042, 1049, 15157, 4011, 1054, 3945, 5175, 2286, 3734, 1009, 2992, 1009, 30815, 4857, 1235, 1831, 3479, 1009, 10322, 25723, 1463, 19545, 25427, 1049, 24441, 1060, 8809, 1213, 2790, 1009, 12083, 4285, 1229, 17772, 1006, 1944, 1472, 1054, 1048, 1094, 7779, 5092, 4715, 1026, 3479, 1175, 2125, 1734, 9938, 1573, 23279, 3251, 2624, 1043, 13161, 5989, 5425, 3512, 1338, 2048, 5217, 2816, 4228, 1078, 1330, 6667, 1209, 10321, 1349, 13464, 1270, 1344, 6844, 4228, 1078, 1330, 6667, 1209, 2226, 6877, 1005, 10660, 15055, 3106, 1432, 1615, 1423, 9019, 3973, 1005, 3175, 9019, 3977, 15184, 3228, 7224, 2286, 675, 1083, 1009, 3113, 1009, 8936, 9529, 1235, 1853, 13769, 1009, 4727, 1273, 1844, 0, 2269, 1114, 2919, 1060, 1313, 5250, 20, 5024, 1853, 13769, 1054, 2987, 1096, 12085, 2081, 16164, 1054, 1158, 1009, 2436, 1009, 16202, 3183, 76, 8871, 1195, 1006, 20147, 1049, 13769, 29362, 1054, 2595, 1009, 3261, 1009, 4210, 20660, 3241, 20467, 1233, 21096, 1049, 3175, 9019, 29362, 1009, 19545, 1054, 7230, 3183, 76, 8871, 30334, 1058, 21884, 1726, 9297, 1009, 19545, 1184, 2909, 1250, 4564, 1054, 15528, 5024, 3189, 2845, 1054, 7267, 1213, 8900, 1044, 1156, 13913, 1009, 3910, 3319, 1054, 12765, 1005, 5587, 1235, 1831, 1313, 5250, 1054, 26573, 1163, 1856, 1184, 1101, 1313, 5250, 23129, 1054, 3113, 1009, 4229, 1005, 3403, 1009, 7434, 1005, 28615, 1124, 31022, 28940, 1453, 1049, 24289, 5535, 3933, 9454, 1992, 1213, 7835, 3886, 5178, 1009, 19545, 7381, 1110, 2702, 1874, 29362, 1005, 21466, 4093, 19192, 1006, 6534, 15157, 1679, 1782, 2864, 11782, 6226, 1357, 4809, 1048, 2257, 31024, 1054, 7648, 1049, 9180, 1068, 3659, 1853, 1072, 14540, 2174, 23408, 14351, 2322, 1058, 7209, 1068, 1006, 26453, 1005, 9239, 1124, 14807, 3145, 1187, 2848, 10322, 25723, 89, 1151, 10651, 2255, 19151, 1124, 26281, 1009, 19545, 1009, 13471, 1330, 6667, 1209, 1054, 4152, 1005, 1049, 3175, 9019, 1054, 15573, 2505, 1253, 75, 1006, 1782, 1377, 3621, 1049, 13769, 29362, 1060, 27692, 9472, 1005, 13234, 1357, 5773, 2751, 1009, 1044, 8552, 1060, 1313, 5250, 1072, 4210, 1561, 18263, 1020, 11389, 1159, 24344, 1060, 4422, 20, 1482, 9033, 4713, 1094, 10899, 4317, 8194, 1068, 6534, 15157, 1357, 2929, 86, 1364, 74, 1699, 2342, 11968, 1571, 1318, 12081, 14099, 1996, 1009, 26343, 1024, 1026, 4288, 20, 4490, 31860, 3560, 4317, 8194, 2569, 3183, 76, 8871, 19482, 1357, 1156, 5250, 1071, 15054, 1399, 2352, 1034, 1133, 18263, 1020, 14116, 15, 2383, 10376, 1049, 1901, 7230, 8331, 1157, 1094, 4600, 1009, 4110, 620, 28, 1054, 1224, 1944, 10946, 1114, 1428, 1195, 21096, 1291, 1049, 1144, 7521, 39, 9927, 1723, 12492, 89, 1009, 4210, 1175, 4155, 8576, 1357, 17355, 7378, 1108, 2346, 24149, 1175, 675, 1005, 4064, 1006, 8236, 1006, 1101, 1377, 3621, 1072, 13769, 1060, 1156, 5250, 2378, 11374, 1398, 1341, 1110, 22254, 620, 22022, 20862, 4210, 1005, 6813, 1620, 1072, 13461, 21466, 21667, 23734, 1371, 16233, 1213, 13461, 3467, 1060, 27692, 9472, 1026, 1048, 1160, 1006, 18158, 1009, 10889, 1782, 7268, 1005, 8236, 2089, 1487, 9107, 1009, 19545, 6789, 13461, 20, 4789, 11590, 4053, 1159, 3186, 27, 0, 20, 1049, 1784, 1054, 19545, 1005, 1779, 10301, 0, 20, 1054, 2987, 1113, 17816, 3528, 1235, 1831, 1901, 10677, 1250, 1159, 15213, 3183, 76, 8871, 6303, 4774, 1645, 1124, 2987, 1005, 25970, 1463, 4727, 1273, 1048, 1566, 1050, 4888, 1847, 1184, 1949, 10028, 1846, 1009, 1235, 1831, 8552, 1049, 1901, 1060, 1313, 5250, 1054, 4143, 1014, 1013, 2196, 1068, 1026, 1428, 30931, 2860, 2458, 1800, 1006, 24689, 1005, 1006, 7779, 2697, 1461, 1847, 21096, 3382, 3748, 3183, 76, 8871, 12835, 88, 1072, 11894, 8905, 4116, 2729, 1049, 4183, 4311, 3205, 1054, 4727, 1273, 1132, 1156, 13913, 89, 1009, 5568, 1041, 4314, 2356, 77, 6977, 1633, 8099, 27736, 12958, 1349, 1764, 4989, 14572, 1071, 1258, 1010, 1043, 13055, 16859, 15554, 15, 1005, 4790, 81, 4190, 6977, 23287, 20845, 2233, 17446, 1349, 2247, 1009, 8236, 1006, 1852, 1054, 1062, 1165, 7308, 29534, 3936, 1014, 6977, 23287, 20845, 2233, 17446, 1565, 4490, 1944, 4455, 1054, 5773, 2751, 1009, 10322, 25723, 2755, 1054, 13471, 1330, 6667, 6420, 3027, 1159, 28655, 8398, 1007, 17511, 7104, 1072, 1428, 18413, 1159, 4270, 5076, 1005, 1327, 13685, 1312, 1114, 1944, 8404, 1118, 25472, 4387, 9089, 1248, 1005, 1082, 16450, 18217, 1122, 1054, 2666, 14028, 18, 1043, 2156, 3229, 1005, 15787, 1005, 3251, 4686, 1009, 9178, 10357, 620, 2443, 1779, 620, 28, 1005, 1675, 620, 29, 1565, 4083, 3945, 21764, 1009, 4229, 1054, 17086, 4857, 1044, 11803, 1213, 2790, 1009, 11440, 1082, 4175, 26342, 11396, 2286, 11689, 3027, 1159, 28655, 14600, 4190, 9059, 1870, 28615, 1006, 1944, 1852, 1009, 19545, 1114, 1313, 5250, 1072, 1313, 5250, 1009, 1603, 1075, 2170, 1114, 3757, 7715, 7654, 1026, 1831, 3479, 1009, 1313, 5250, 1072, 22390, 9019, 20, 1424, 3592, 3526, 1489, 1273, 6224, 1072, 7835, 3114, 1005, 28615, 1026, 1853, 13769, 1060, 3560, 1054, 4727, 1273, 13306, 0, 20, 8248, 1054, 3186, 1009, 27251, 1063, 2323, 27067, 2397, 4719, 1033, 4835, 5966, 19713, 1043, 14600, 4190, 28946, 1113, 20390, 3528, 3209, 1006, 7779, 3183, 76, 8871, 10178, 1218, 1014, 7032, 1233, 15657, 8404, 1049, 24441, 1060, 17342, 6594, 1026, 28486, 23222, 26023, 15255, 1009, 3399, 1520, 1005, 7032, 1726, 18276, 28940, 1453, 1009, 21049, 1214, 1054, 15100, 1005, 1114, 2922, 3092, 1187, 20007, 1846, 1060, 7967, 1009, 12981, 18, 6594, 1026, 1313, 5250, 1009, 25790, 5112, 1054, 28287, 1424, 3005, 18413, 1072, 7835, 4110, 1049, 1784, 1357, 1944, 16991, 1776, 3175, 5535, 3933, 1054, 11689, 1687, 2521, 1224, 1853, 4600, 1054, 10322, 25723, 89, 1114, 14382, 1213, 8236, 1124, 18276, 28940, 8409, 31579, 1124, 26108, 9592, 9451, 13331, 28, 1049, 8552, 1463, 12569, 1179, 1728, 5059, 1212, 1573, 25505, 1049, 1561, 1160, 2467, 2241, 2072, 6794, 1054, 1044, 10322, 25723, 2271, 21440, 1511, 28207, 3777, 1905, 1005, 13962, 15459, 19460, 9686, 1726, 18276, 1009, 1852, 1009, 1313, 1053, 5352, 74, 9513, 1776, 19496, 1487, 12787, 5671, 4693, 23688, 1248, 12722, 15, 1009, 14844, 1687, 1381, 2924, 1807, 25712, 9454, 1726, 26281, 1005, 10931, 1657, 1068, 1006, 7779, 4953, 9592, 9451, 13331, 23, 1049, 14881, 4475, 1424, 3005, 24304, 1068, 1006, 3621, 1009, 13331, 4406, 1072, 13769, 5178, 1113, 24064, 18204, 2790, 1009, 9059, 1870, 3183, 76, 8871, 4064, 1054, 1224, 1944, 1852, 1009, 1044, 1313, 5250, 12722, 1054, 15429, 1803, 1068, 1054, 9033, 675, 20790, 1009, 13471, 1330, 6667, 1209, 1118, 1094, 1168, 1444, 1031, 23974, 2800, 28946, 1058, 11957, 91, 2865, 1054, 1313, 1053, 5352, 74, 3529, 1571, 9389, 20232, 1114, 1944, 31646, 3183, 76, 8871, 6139, 1048, 1072, 2277, 14299, 14128, 7779, 1043, 1006, 15849, 30132, 1119, 1182, 6351, 3169, 3158, 1972, 1124, 19734, 1009, 15013, 2037, 3183, 76, 8871, 1836, 2728, 1236, 1463, 19545, 25427, 1213, 2790, 1009, 9881, 6088, 1100, 1005, 1009, 3808, 3907, 3661, 1094, 8764, 1114, 5773, 14250, 3994, 1009, 18913, 1073, 2530, 89, 3158, 8106, 1463, 25427, 7035, 4108, 1114, 6559, 1068, 2228, 1956, 21163, 14808, 1031, 1005, 2457, 1114, 14250, 3183, 76, 8871, 1005, 1073, 2530, 19404, 10670, 1975, 1213, 4537, 1114, 12341, 8409, 1005, 4850, 1060, 9348, 3068, 19983, 6594, 1656, 1009, 20157, 1006, 6915, 1049, 11803, 3313, 1133, 76, 8871, 1005, 1073, 2530, 19404, 1058, 9751, 1124, 6316, 13574, 1006, 3524, 1094, 9236, 25502, 1072, 15157, 1114, 8211, 29936, 1006, 4600, 1009, 6318, 1082, 4175, 1051, 1803, 1048, 9048, 1006, 1422, 0, 13072, 1054, 22839, 1063, 9236, 1195, 1094, 1271, 1184, 10678, 12803, 1118, 4306, 6863, 32, 1006, 8764, 5857, 1094, 3757, 1996, 1060, 6222, 1187, 22171, 1229, 1566, 1048, 9389, 1160, 5588, 9423, 2072, 2797, 1273, 1043, 3183, 76, 8871, 20227, 1054, 3404, 0, 2269, 1072, 13769, 1009, 19545, 1060, 1313, 58, 2722, 1005, 1073, 2530, 19404, 1657, 1114, 4658, 0, 3621, 20, 15460, 1160, 5588, 3819, 25614, 1009, 1514, 3890, 22474, 1054, 1650, 1089, 1229, 1043, 1006, 3808, 9209, 1847, 1094, 9348, 1114, 3595, 6525, 1434, 8528, 9228, 1054, 3403, 1009, 16669, 14887, 1677, 1006, 25712, 8112, 1412, 5878, 1795, 1358, 19, 13666, 89, 1271, 19545, 7730, 2012, 32, 2848, 1463, 31022, 1009, 1852, 1717, 1006, 7779, 1030, 1358, 6464, 2861, 28957, 5992, 1005, 1205, 8535, 1035, 1093, 30666, 1005, 1184, 2848, 1114, 6915, 1357, 9236, 1009, 9712, 96, 1802, 2494, 13058, 1411, 2252, 1124, 19545, 7730, 2012, 8651, 13270, 32, 1114, 1944, 8404, 4088, 13685, 1412, 1124, 11749, 27977, 1048, 2829, 26108, 9592, 9451, 13331, 29, 1049, 8552, 33, 1463, 12569, 1179, 1273, 1006, 7779, 1030, 1358, 6464, 20200, 1043, 12823, 1078, 9452, 2861, 162, 225, 17780, 3893, 1048, 1195, 13331, 23, 1049, 1784, 1054, 2987, 1005, 13331, 2830, 1054, 4727, 1273, 1005, 1006, 18943, 30575, 1009, 11025, 1294, 2987, 8904, 158, 1076, 1205, 8535, 1792, 225, 1220, 150, 33, 1114, 18276, 13685, 1412, 1124, 3252, 20760, 26108, 9592, 9451, 13331, 26, 1049, 14881, 2037, 1048, 1201, 2241, 1043, 24907, 28684, 4285, 1133, 81, 4134, 1330, 1678, 17355, 1271, 19545, 25427, 1009, 6747, 1141, 4328, 20, 23, 1049, 1784, 1054, 19545, 1005, 17355, 1009, 1487, 10322, 25723, 89, 1009, 19545, 33, 1114, 6915, 1049, 9712, 22463, 13685, 1412, 1006, 7779, 16945, 1048, 2284, 2281, 1852, 1291, 1054, 1313, 1053, 5352, 17063, 1072, 1592, 12686, 1005, 20200, 1043, 2231, 1937, 1205, 1018, 84, 3097, 1006, 17355, 25502, 1009, 19545, 1009, 6747, 1141, 4328, 20, 23, 1049, 1784, 1054, 4727, 1273, 1005, 17355, 1009, 1307, 10322, 25723, 89, 1009, 19545, 10774, 1124, 14673, 3273, 12740, 1043, 1119, 1182, 6351, 23633, 1687, 1058, 6293, 16417, 30860, 1049, 1313, 5250, 1009, 4833, 26968, 24228, 1068, 1026, 1028, 0, 3295, 1049, 7118, 675, 1776, 8552, 7715, 1026, 1313, 5250, 12722, 1009, 14709, 4088, 14110, 1213, 3479, 13064, 1157, 1006, 7779, 1028, 0, 1083, 1049, 14881, 2037, 1082, 1396, 1219, 9892, 25885, 1051, 12144, 1463, 5634, 1273, 1006, 3838, 7779, 1344, 1302, 1014, 6265, 5992, 12565, 95, 72, 1956, 1342, 1114, 19997, 675, 1005, 1006, 7779, 4953, 1009, 5773, 13331, 28, 1114, 7223, 2252, 1054, 31949, 3443, 1229, 1043, 20356, 14653, 1026, 1831, 7835, 1158, 1060, 2042, 1049, 15157, 1009, 7779, 7926, 1049, 3878, 1005, 1026, 1831, 3479, 1009, 1313, 5250, 12722, 1009, 3183, 19089, 3158, 1063, 12447, 15137, 13691, 1009, 3183, 76, 8871, 6895, 1072, 1313, 5250, 12722, 1009, 1062, 1441, 8099, 1065, 1803, 1114, 3757, 7715, 1571, 1687, 1005, 1119, 1182, 6351, 11986, 27116, 1159, 16417, 30860, 1916, 1424, 3005, 3183, 76, 8871, 7032, 1213, 9361, 1009, 1028, 0, 2128, 1049, 7118, 12956, 1133, 76, 8871, 4064, 1213, 23484, 1009, 1224, 3560, 1072, 3175, 9019, 1009, 19742, 3720, 4064, 1357, 1944, 1472, 1233, 1094, 21096, 1009, 10322, 25723, 18, 1847, 1318, 1006, 1944, 21096, 1009, 3175, 9019, 1009, 1119, 1182, 6351, 3169, 3158, 3126, 1006, 1944, 5092, 1006, 4537, 2072, 6794, 1054, 1044, 10322, 25723, 1054, 19545, 25505, 2271, 3512, 1338, 2048, 5217, 14986, 1054, 2454, 3218, 8335, 1072, 18776, 12728, 1956, 1049, 1083, 0, 2279, 1114, 12341, 8409, 3183, 76, 8871, 12099, 1079, 1009, 14983, 7134, 2784, 4481, 8140, 1224, 21790, 1005, 22574, 1043, 8068, 15518, 1114, 3516, 5304, 3720, 2569, 1048, 19557, 1026, 2666, 1054, 1094, 7182, 1009, 5249, 1728, 20324, 1195, 9819, 1069, 1044, 25267, 1337, 1072, 3080, 1303, 1049, 7995, 8015, 1234, 13233, 3183, 76, 8871, 1006, 19557, 1026, 13461, 9938, 6567, 1356, 8330, 1009, 19742, 1424, 1006, 12341, 8409, 3183, 76, 8871, 9529, 1235, 1853, 13769, 1114, 14382, 1026, 9361, 1009, 1028, 0, 2523, 4727, 1291, 1049, 5108, 1006, 1657, 1487, 3328, 1060, 1028, 0, 12505, 1006, 21595, 1937, 2124, 9184, 7211, 2281, 17355, 1049, 14881, 2037, 4834, 31024, 1365, 1124, 2256, 3460, 20, 1776, 1531, 3734, 1009, 3042, 1054, 12014, 1294, 2138, 2365, 2457, 2397, 4719, 1195, 11916, 1236, 1006, 675, 1094, 5980, 1680, 10952, 1236, 1054, 1235, 25561, 1068, 3371, 1114, 9273 ]

[ 1045, 1068, 2068, 8482, 15233, 1009, 16173, 3692, 3658, 15835, 2745, 1503, 1160, 9327, 1493, 1989, 1598, 5107, 10193, 2060, 1026, 1953, 1182, 20612, 6977, 1124, 3221, 2905, 8478, 1065, 1312, 15, 1309, 1096, 7492, 1068, 1663, 3905, 7314, 1206, 1048, 25403, 1094, 10488, 16812, 1118, 2991, 4109, 1271, 30594, 1524, 1728, 2034, 3221, 2905, 1327, 1680, 5049, 1242, 1005, 7874, 1046, 1680, 1026, 4168, 2098, 1441, 1045, 1068, 27673, 26591, 6062, 24626, 1318, 8935, 1068, 10907, 18, 2340, 1224, 17696, 1921, 1096, 1680, 9948, 20, 2013, 16137, 1005, 1160, 2263, 9461, 1493, 1094, 2236, 31190, 1026, 1048, 1096, 7322, 1068, 3417, 1006, 9097, 1680, 27142, 2034, 3221, 2905, 1318, 1327, 1680, 5049, 4065, 8913, 4202, 21414, 1680, 1026, 4168, 4441, 18875, 4543, 1068, 4101, 1160, 12990, 1493, 3846, 2585, 5754, 5503, 1202, 1044, 2201, 1086, 15802, 1026, 2285, 1083, 1005, 1101, 1327, 1680, 1841, 2787, 2106, 5754, 1026, 1083, 1225, 1184, 3221, 2905, 1005, 1096, 1044, 2574, 16812, 9994, 1068, 1009, 1334, 1698, 1006, 13687, 1114, 22954, 1292, 4050, 20, 1138, 1101, 1318, 1298, 1178, 3778, 1068, 1009, 1334, 1698, 1006, 13687, 1005, 1026, 1307, 1096, 1068, 6185, 2832, 1810, 5109, 1049, 10201, 1206, 1702, 30128, 1048, 1141, 79, 1420, 1184, 10488, 2098, 1441, 1045, 1068, 30594, 3089, 32, 1163, 1091, 2220, 1784, 1225, 1048, 1261, 1044, 3960, 1068, 2617, 3386, 1006, 30594, 3089, 1996, 1009, 10380, 7, 2034, 3221, 2905, 3615, 1327, 1680, 15147, 5006, 1005, 23231, 1034, 2201, 1680, 1186, 25, 2098, 1441, 1045, 1068, 26407, 32, 2654, 13777, 1264, 1044, 30706, 27455, 4810, 4337, 37, 2200, 1318, 1225, 3221, 2905, 1680, 5049, 4065, 1026, 1048, 23226, 1114, 3907, 1009, 1663, 1026, 1201, 8540, 1049, 18939, 4475, 3126, 1026, 3872, 1048, 1160, 1323, 5215, 1079, 3360, 1533, 1358, 1089, 1048, 1026, 19775, 2201, 6054, 1006, 5865, 1058, 1299, 2237, 11729, 1054, 1663, 1094, 5554, 1009, 18875, 4543, 16832, 1068, 5184, 1006, 1058, 15548, 23234, 14373, 2824, 24, 2414, 7777, 25159, 47, 1005, 1299, 1620, 1298, 6016, 1365, 1487, 3918, 1009, 5281, 18011, 1186, 25, 1493, 3445, 6788, 1299, 9578, 1419, 1026, 1048, 1184, 1503, 20975, 1060, 6161, 79, 12461, 1005, 1159, 1195, 1048, 12974, 1006, 5198, 1411, 4145, 1094, 1249, 79, 26552, 24268, 23501, 21870, 79, 31452, 1825, 3607, 1268, 17722, 4354, 6737, 1898, 56, 1010, 79, 25914, 2673, 1101, 1009, 3261, 1009, 3973, 1726, 12715, 7157, 1605, 1226, 7, 1163, 23841, 1049, 1235, 8159, 1005, 2449, 1044, 19984, 1068, 25366, 1072, 1235, 8159, 18, 9133, 10363, 1114, 2348, 3444, 2536, 24, 2744, 1009, 28914, 1005, 1395, 30577, 9817, 1049, 2092, 4861, 20, 2656, 2736, 1035, 7, 1138, 1048, 1903, 1370, 1054, 7160, 1903, 1370, 1096, 1044, 4941, 2453, 1049, 2859, 1068, 2092, 4861, 20, 16386, 4305, 1094, 5576, 1068, 6621, 3900, 2099, 4794, 1209, 2839, 1070, 1239, 27507, 25861, 4878, 24269, 11068, 5084, 25861, 1467, 17089, 1024, 6737, 19287, 7361, 1184, 19007, 2770, 2051, 1184, 6907, 1073, 2770, 2051, 1184, 5530, 9597, 3635, 13758, 3256, 32, 7860, 1024, 5812, 3106, 14662, 18103, 1045, 162, 4239, 1009, 30148, 3670, 2123, 1047, 1898, 20304, 1419, 1184, 37, 11232, 25159, 47, 22086, 1343, 5, 684, 4579, 2149, 31155, 3113, 2149, 31155, 3209, 1071, 12466, 684, 3049, 1071, 7469, 684, 3383, 2149, 31155, 3403, 1071, 7469, 684, 2992, 1071, 7469, 684, 4229, 10357, 31155, 3049, 1071, 7469, 684, 3268, 2149, 31155, 3149, 2149, 31155, 4053, 2149, 12279, 684, 3049, 2149, 31155, 3268, 1071, 7469, 684, 3353, 2149, 31155, 3370, 10357, 31155, 2436, 8465, 31155, 3149, 2149, 31155, 3261, 1071, 7469, 684, 2992, 1071, 7469, 684, 4161, 1071, 4990, 31155, 3049, 8465, 31155, 3113, 2149, 31155, 3268, 10357, 31155, 3042, 8465, 31155, 3383, 8465, 31155, 3353, 1071, 7469, 684, 3370, 8465, 31155, 2436, 10024, 31155, 3149, 1071, 7469, 684, 3261, 1071, 7469, 684, 3403, 8465, 31155, 2992, 8465, 1308, 685, 3973, 1071, 5861, 31155, 3049, 1071, 7469, 684, 3113, 8465, 31155, 3268, 10024, 31155, 3042, 8465, 31155, 3383, 1071, 12437, 684, 3353, 2149, 7469, 684, 3370, 10024, 31155, 2436, 1071, 12279, 684, 3149, 1071, 12279, 685, 3261, 15150, 18927, 1065, 1104, 9582, 1156, 4139, 11927, 89, 7199, 17915, 4883, 18057, 28621, 1576, 3451, 6005, 32, 7299, 1759, 1671, 1047, 1175, 20893, 1163, 16243, 49, 1839, 2995, 1065, 1104, 24789, 30746, 13041, 4228, 49, 29136, 1965, 79, 12461, 1114, 1163, 11004, 20733, 3973, 2324, 1220, 1436, 1163, 11004, 20733, 3973, 8018, 26442, 31439, 31902, 58, 2713, 43, 1106, 3640, 7231, 20840, 59, 19654, 9696, 11709, 1041, 1009, 18875, 4543, 6161, 79, 12461, 5, 684, 3403, 8465, 31155, 2992, 10357, 31155, 4210, 1071, 3990, 31155, 3049, 8465, 31155, 3113, 15150, 31155, 3268, 10024, 31155, 3042, 1071, 12279, 684, 3383, 2149, 8534, 684, 3353, 2149, 11159, 684, 3370, 2149, 7469, 684, 2436, 1071, 12279, 684, 3149, 15150, 31155, 3261, 10183, 31155, 3403, 1071, 12437, 684, 2992, 1071, 12466, 684, 4152, 2149, 7469, 684, 3049, 10024, 31155, 3113, 2149, 31155, 3268, 8465, 31155, 3042, 8465, 18979, 1165, 6599, 1165, 3787, 1168, 4875, 6732, 11806, 95, 6337, 1130, 7603, 9666, 6513, 82, 1192, 2954, 2571, 1060, 1061, 1093, 11276, 2844, 1350, 1077, 10388, 22097, 1531, 1187, 6927, 24246, 1277, 5202, 1501, 11857, 9467, 1029, 2917, 4203, 4533, 6166, 1258, 6959, 1086, 1017, 2787, 4346, 5561, 1130, 1561, 7342, 21870, 79, 3725, 1953, 75, 1045, 84, 6844, 3951, 20804, 12329, 19650, 9319, 3129, 1461, 6056, 17965, 1536, 19168, 8829, 6005, 9050, 7929, 1192, 1401, 20570, 1268, 17722, 13379, 14584, 11253, 21292, 15954, 1114, 4786, 7154, 4639, 25426, 5099, 2020, 4396, 6005, 11104, 19061, 1940, 1958, 18630, 1009, 4280, 2324, 2576, 1383, 21707, 3125, 1691, 14528, 3125, 3141, 5237, 2164, 1797, 1568, 95, 8153, 30091, 4210, 1152, 7453, 32, 4833, 13134, 12461, 1152, 12461, 32, 30148, 1144, 8165, 4138, 1152, 1128, 1530, 32, 25296, 1152, 22172, 4987, 7054, 6423, 1213, 7711, 1, 29653, 12875, 1118, 2089, 1143, 5600, 1048, 1096, 3179, 4918, 1048, 1687, 1976, 2593, 3748, 1026, 7534, 3635, 1114, 9320, 2340, 1072, 1592, 3041, 1054, 1048, 18001, 1006, 5662, 2427, 1126, 2284, 28147, 1307, 2826, 3036, 1009, 7534, 1704, 7065, 1009, 1503, 1620, 1160, 1261, 22102, 1043, 1687, 1071, 2979, 1006, 6375, 1009, 1927, 19065, 1096, 1048, 1511, 1687, 2467, 1126, 2306, 2237, 16298, 3100, 17456, 1124, 2322, 18686, 1084, 1566, 1381, 1702, 1557, 1048, 1160, 1006, 2333, 11097, 1026, 1048, 1323, 6733, 1009, 6672, 1871, 13351, 1905, 4578, 82, 1631, 1006, 20356, 2204, 1089, 1006, 4281, 1009, 1094, 2924, 1086, 1189, 1034, 1048, 6471, 1072, 1592, 9791, 2092, 18, 1315, 1656, 1054, 2143, 4898, 1533, 1712, 1751, 1271, 9644, 8177, 1048, 3768, 18, 1195, 1118, 1323, 5813, 3685, 8, 1054, 16433, 1463, 3905, 7274, 1060, 9320, 7001, 1322, 2637, 1033, 175, 5386, 18, 1206, 2637, 1746, 1070, 1230, 1006, 5085, 1049, 2011, 1206, 1495, 1592, 1322, 3469, 1271, 2688, 1503, 29790, 1133, 1009, 12139, 1159, 2856, 6100, 1229, 2764, 1400, 4533, 1005, 1178, 3259, 1071, 3100, 1493, 12393, 20883, 12894, 1229, 1068, 1160, 3754, 1413, 1458, 1715, 6190, 1833, 1043, 2237, 1086, 1189, 1034, 1160, 1195, 12907, 1511, 26949, 1043, 1687, 1071, 1323, 1311, 2431, 1095, 1819, 1114, 7673, 5493, 1043, 1734, 19065, 1160, 2204, 1089, 3192, 1009, 23813, 1495, 16037, 1118, 9940, 1048, 4172, 10272, 1870, 1511, 1160, 3074, 1744, 2334, 6581, 14710, 3339, 4424, 1305, 9163, 2934, 9234, 1206, 3659, 9802, 10182, 1213, 7462, 1049, 1048, 2755, 1511, 1566, 2449, 4961, 25720, 6889, 8134, 2250, 1962, 1011, 3893, 1687, 1049, 15259, 2845, 1006, 1323, 2997, 3943, 29104, 1927, 1043, 1044, 10683, 8760, 4559, 18, 1048, 1072, 7355, 19, 3655, 2163, 1100, 1516, 8757, 13578, 1114, 2921, 10584, 1118, 10312, 8757, 4710, 1026, 10683, 1005, 1620, 16623, 3598, 1769, 2631, 675, 6431, 1704, 1012, 1040, 5140, 2637, 13311, 156, 1599, 1048, 1323, 4454, 2191, 1305, 7134, 9744, 2656, 2449, 21349, 1309, 5956, 1048, 1687, 1566, 2257, 1323, 6440, 3943, 79, 1406, 1309, 1511, 19205, 1356, 4898, 12481, 3745, 1048, 1006, 22699, 1836, 9485, 1043, 13054, 1060, 79, 1935, 79, 1005, 5039, 1089, 1068, 6993, 1026, 1048, 1836, 1847, 22102, 1071, 3100, 1493, 17386, 19065, 1005, 3062, 1049, 4249, 1049, 18559, 1687, 1323, 1345, 1685, 6485, 6373, 3208, 3789, 1810, 1406, 1005, 4202, 7890, 1435, 1715, 84, 4255, 1094, 13726, 1280, 10365, 1068, 6529, 1068, 1419, 2306, 1836, 8723, 1026, 6373, 3208, 91, 2100, 2013, 5573, 1048, 1745, 2075, 79, 1026, 6373, 3208, 91, 8, 1043, 1044, 1345, 1577, 2191, 20277, 1309, 1846, 13777, 10495, 1493, 13311, 156, 2270, 2656, 1357, 1086, 1189, 1411, 1309, 1357, 4087, 27214, 1441, 1153, 1250, 1160, 5192, 1058, 3074, 13520, 3469, 1571, 1160, 2039, 3982, 1159, 2739, 2624, 1566, 3768, 18, 1309, 1068, 4982, 2237, 1847, 11553, 1006, 11589, 21944, 1084, 1616, 1323, 2521, 8356, 1049, 7326, 1049, 14984, 19436, 1685, 1048, 13036, 1089, 1072, 4434, 18935, 11591, 9843, 1233, 8020, 16575, 3900, 1817, 7326, 1919, 1048, 675, 14768, 1817, 1852, 1271, 25795, 1299, 2155, 8478, 1930, 1160, 2306, 1299, 1836, 7153, 18, 1309, 2306, 1836, 7153, 1118, 1299, 1256, 11021, 1467, 3969, 1048, 6119, 2374, 1616, 1048, 5553, 10977, 1715, 1266, 2097, 4540, 9970, 2092, 3439, 1005, 2092, 4961, 1712, 1620, 1096, 1114, 1163, 1189, 1034, 1049, 1799, 0, 18, 1309, 2306, 4337, 1026, 1048, 21233, 1294, 7024, 2250, 3226, 24011, 24011, 24011, 24011, 35, 4093, 1032, 1040, 7759, 3713, 89, 20980, 1048, 1687, 12941, 2237, 3194, 1140, 1206, 1096, 1657, 2348, 15313, 23018, 57, 2856, 1063, 16216, 1048, 3326, 1089, 1072, 3810, 4434, 1096, 1054, 2869, 1213, 20410, 5381, 1077, 1663, 2350, 2080, 19513, 1309, 1620, 3074, 3748, 12190, 7676, 1996, 1009, 3805, 15639, 1054, 4884, 5721, 26331, 1152, 12266, 1118, 1924, 2432, 1810, 1726, 1578, 24646, 1422, 5812, 5, 10622, 89, 1796, 1127, 9541, 1086, 1189, 1034, 1049, 1799, 0, 18, 1086, 1189, 1034, 1049, 1844, 0, 18, 1924, 23492, 1073, 7282, 22963, 2795, 1599, 2971, 1009, 3149, 1009, 4238, 17326, 3039, 3226, 59, 3039, 10346, 2912, 44, 24779, 1715, 3021, 75, 20250, 1040, 1357, 3971, 1009, 21534, 2237, 9269, 1309, 9470, 8811, 9511, 1068, 1616, 8530, 1187, 9511, 1096, 1048, 3068, 14371, 1126, 9470, 5274, 1060, 11518, 1005, 9470, 1048, 9280, 1890, 1026, 1557, 1048, 1503, 1274, 1461, 1068, 19532, 3473, 3616, 17908, 5153, 7065, 1005, 1184, 2512, 1071, 1068, 7110, 19065, 1096, 1006, 7188, 2176, 3225, 1049, 12916, 1660, 1049, 20410, 1159, 3634, 18, 1261, 2204, 1069, 15220, 8161, 1323, 19033, 8989, 8134, 1307, 2250, 1009, 7676, 1005, 3108, 2223, 1551, 2738, 8476, 8383, 1026, 2092, 5485, 12916, 8655, 2340, 6479, 5047, 1657, 1184, 1094, 5987, 1114, 10432, 8643, 1005, 1160, 2257, 7072, 1009, 3056, 2080, 1473, 1728, 4567, 1009, 1493, 10572, 1006, 15672, 26244, 10203, 1044, 12916, 1660, 6118, 1100, 1309, 1592, 3027, 25640, 1026, 1128, 14882, 1542, 15482, 2526, 1049, 23645, 20407, 5406, 4547, 9470, 1048, 1663, 2539, 5930, 1400, 1005, 16466, 4306, 16350, 1114, 1150, 7594, 1406, 1068, 3417, 1026, 4861, 1043, 1006, 2348, 2519, 1071, 6071, 1503, 31563, 3100, 1413, 1458, 1005, 6056, 20141, 1291, 675, 3377, 45, 13701, 1009, 19782, 1213, 19510, 8159, 77, 1870, 2691, 4320, 6417, 1048, 6892, 1043, 2653, 1734, 15241, 1400, 1323, 15237, 1202, 3068, 5042, 23903, 10948, 2729, 1060, 9269, 7954, 1848, 1750, 75, 3958, 1132, 6941, 8739, 2507, 7723, 1048, 1006, 5042, 2261, 3205, 1309, 1026, 2751, 1096, 1048, 3179, 2289, 1566, 2237, 1054, 4272, 24894, 8435, 1005, 10427, 1040, 1048, 1054, 7189, 1030, 18777, 13357, 5721, 26331, 1152, 12266, 1118, 1924, 2432, 1810, 1726, 21605, 5235, 1422, 5812, 5, 10622, 89, 2985, 6469, 1005, 19510, 5, 1022, 3358, 4746, 2182, 1009, 3149, 1009, 4238, 1605, 2458, 2705, 7222, 1566, 3326, 1089, 1094, 1472, 9175, 5956, 1026, 6530, 1006, 2496, 1013, 1871, 1009, 16891, 4961, 1048, 4292, 17627, 2088, 7872, 1094, 1086, 1189, 1034, 1049, 2011, 2284, 1323, 3509, 1006, 21341, 5956, 1048, 1616, 1195, 3757, 1475, 3567, 2654, 2011, 1072, 1844, 0, 9791, 1005, 1687, 1836, 1072, 1799, 0, 18, 1511, 1006, 1050, 1803, 11830, 6809, 3958, 8, 9475, 1687, 1495, 7643, 1048, 1503, 1836, 12805, 1962, 9475, 1309, 1169, 1785, 1589, 1026, 6530, 1005, 1054, 9033, 20099, 1009, 13438, 1159, 1048, 1068, 5379, 1058, 1503, 19454, 1006, 6530, 1715, 75, 1503, 3738, 1034, 12805, 18, 1118, 1702, 8410, 9528, 9470, 1048, 1663, 12190, 3469, 1005, 1511, 1503, 5039, 1089, 1213, 2386, 1571, 18502, 1068, 1419, 9475, 1687, 1566, 2284, 31982, 8333, 2449, 5391, 1058, 1687, 1836, 3748, 6521, 1068, 4659, 1114, 2451, 1071, 1096, 1072, 1799, 0, 1048, 2947, 1026, 30965, 6190, 1206, 1058, 1566, 2237, 3748, 1026, 7534 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1045, 1068, 2068, 8482, 15233, 1009, 16173, 3692, 3658, 15835, 2745, 1503, 1160, 9327, 1493, 1989, 1598, 5107, 10193, 2060, 1026, 1953, 1182, 20612, 6977, 1124, 3221, 2905, 8478, 1065, 1312, 15, 1309, 1096, 7492, 1068, 1663, 3905, 7314, 1206, 1048, 25403, 1094, 10488, 16812, 1118, 2991, 4109, 1271, 30594, 1524, 1728, 2034, 3221, 2905, 1327, 1680, 5049, 1242, 1005, 7874, 1046, 1680, 1026, 4168, 2098, 1441, 1045, 1068, 27673, 26591, 6062, 24626, 1318, 8935, 1068, 10907, 18, 2340, 1224, 17696, 1921, 1096, 1680, 9948, 20, 2013, 16137, 1005, 1160, 2263, 9461, 1493, 1094, 2236, 31190, 1026, 1048, 1096, 7322, 1068, 3417, 1006, 9097, 1680, 27142, 2034, 3221, 2905, 1318, 1327, 1680, 5049, 4065, 8913, 4202, 21414, 1680, 1026, 4168, 4441, 18875, 4543, 1068, 4101, 1160, 12990, 1493, 3846, 2585, 5754, 5503, 1202, 1044, 2201, 1086, 15802, 1026, 2285, 1083, 1005, 1101, 1327, 1680, 1841, 2787, 2106, 5754, 1026, 1083, 1225, 1184, 3221, 2905, 1005, 1096, 1044, 2574, 16812, 9994, 1068, 1009, 1334, 1698, 1006, 13687, 1114, 22954, 1292, 4050, 20, 1138, 1101, 1318, 1298, 1178, 3778, 1068, 1009, 1334, 1698, 1006, 13687, 1005, 1026, 1307, 1096, 1068, 6185, 2832, 1810, 5109, 1049, 10201, 1206, 1702, 30128, 1048, 1141, 79, 1420, 1184, 10488, 2098, 1441, 1045, 1068, 30594, 3089, 32, 1163, 1091, 2220, 1784, 1225, 1048, 1261, 1044, 3960, 1068, 2617, 3386, 1006, 30594, 3089, 1996, 1009, 10380, 7, 2034, 3221, 2905, 3615, 1327, 1680, 15147, 5006, 1005, 23231, 1034, 2201, 1680, 1186, 25, 2098, 1441, 1045, 1068, 26407, 32, 2654, 13777, 1264, 1044, 30706, 27455, 4810, 4337, 37, 2200, 1318, 1225, 3221, 2905, 1680, 5049, 4065, 1026, 1048, 23226, 1114, 3907, 1009, 1663, 1026, 1201, 8540, 1049, 18939, 4475, 3126, 1026, 3872, 1048, 1160, 1323, 5215, 1079, 3360, 1533, 1358, 1089, 1048, 1026, 19775, 2201, 6054, 1006, 5865, 1058, 1299, 2237, 11729, 1054, 1663, 1094, 5554, 1009, 18875, 4543, 16832, 1068, 5184, 1006, 1058, 15548, 23234, 14373, 2824, 24, 2414, 7777, 25159, 47, 1005, 1299, 1620, 1298, 6016, 1365, 1487, 3918, 1009, 5281, 18011, 1186, 25, 1493, 3445, 6788, 1299, 9578, 1419, 1026, 1048, 1184, 1503, 20975, 1060, 6161, 79, 12461, 1005, 1159, 1195, 1048, 12974, 1006, 5198, 1411, 4145, 1094, 1249, 79, 26552, 24268, 23501, 21870, 79, 31452, 1825, 3607, 1268, 17722, 4354, 6737, 1898, 56, 1010, 79, 25914, 2673, 1101, 1009, 3261, 1009, 3973, 1726, 12715, 7157, 1605, 1226, 7, 1163, 23841, 1049, 1235, 8159, 1005, 2449, 1044, 19984, 1068, 25366, 1072, 1235, 8159, 18, 9133, 10363, 1114, 2348, 3444, 2536, 24, 2744, 1009, 28914, 1005, 1395, 30577, 9817, 1049, 2092, 4861, 20, 2656, 2736, 1035, 7, 1138, 1048, 1903, 1370, 1054, 7160, 1903, 1370, 1096, 1044, 4941, 2453, 1049, 2859, 1068, 2092, 4861, 20, 16386, 4305, 1094, 5576, 1068, 6621, 3900, 2099, 4794, 1209, 2839, 1070, 1239, 27507, 25861, 4878, 24269, 11068, 5084, 25861, 1467, 17089, 1024, 6737, 19287, 7361, 1184, 19007, 2770, 2051, 1184, 6907, 1073, 2770, 2051, 1184, 5530, 9597, 3635, 13758, 3256, 32, 7860, 1024, 5812, 3106, 14662, 18103, 1045, 162, 4239, 1009, 30148, 3670, 2123, 1047, 1898, 20304, 1419, 1184, 37, 11232, 25159, 47, 22086, 1343, 5, 684, 4579, 2149, 31155, 3113, 2149, 31155, 3209, 1071, 12466, 684, 3049, 1071, 7469, 684, 3383, 2149, 31155, 3403, 1071, 7469, 684, 2992, 1071, 7469, 684, 4229, 10357, 31155, 3049, 1071, 7469, 684, 3268, 2149, 31155, 3149, 2149, 31155, 4053, 2149, 12279, 684, 3049, 2149, 31155, 3268, 1071, 7469, 684, 3353, 2149, 31155, 3370, 10357, 31155, 2436, 8465, 31155, 3149, 2149, 31155, 3261, 1071, 7469, 684, 2992, 1071, 7469, 684, 4161, 1071, 4990, 31155, 3049, 8465, 31155, 3113, 2149, 31155, 3268, 10357, 31155, 3042, 8465, 31155, 3383, 8465, 31155, 3353, 1071, 7469, 684, 3370, 8465, 31155, 2436, 10024, 31155, 3149, 1071, 7469, 684, 3261, 1071, 7469, 684, 3403, 8465, 31155, 2992, 8465, 1308, 685, 3973, 1071, 5861, 31155, 3049, 1071, 7469, 684, 3113, 8465, 31155, 3268, 10024, 31155, 3042, 8465, 31155, 3383, 1071, 12437, 684, 3353, 2149, 7469, 684, 3370, 10024, 31155, 2436, 1071, 12279, 684, 3149, 1071, 12279, 685, 3261, 15150, 18927, 1065, 1104, 9582, 1156, 4139, 11927, 89, 7199, 17915, 4883, 18057, 28621, 1576, 3451, 6005, 32, 7299, 1759, 1671, 1047, 1175, 20893, 1163, 16243, 49, 1839, 2995, 1065, 1104, 24789, 30746, 13041, 4228, 49, 29136, 1965, 79, 12461, 1114, 1163, 11004, 20733, 3973, 2324, 1220, 1436, 1163, 11004, 20733, 3973, 8018, 26442, 31439, 31902, 58, 2713, 43, 1106, 3640, 7231, 20840, 59, 19654, 9696, 11709, 1041, 1009, 18875, 4543, 6161, 79, 12461, 5, 684, 3403, 8465, 31155, 2992, 10357, 31155, 4210, 1071, 3990, 31155, 3049, 8465, 31155, 3113, 15150, 31155, 3268, 10024, 31155, 3042, 1071, 12279, 684, 3383, 2149, 8534, 684, 3353, 2149, 11159, 684, 3370, 2149, 7469, 684, 2436, 1071, 12279, 684, 3149, 15150, 31155, 3261, 10183, 31155, 3403, 1071, 12437, 684, 2992, 1071, 12466, 684, 4152, 2149, 7469, 684, 3049, 10024, 31155, 3113, 2149, 31155, 3268, 8465, 31155, 3042, 8465, 18979, 1165, 6599, 1165, 3787, 1168, 4875, 6732, 11806, 95, 6337, 1130, 7603, 9666, 6513, 82, 1192, 2954, 2571, 1060, 1061, 1093, 11276, 2844, 1350, 1077, 10388, 22097, 1531, 1187, 6927, 24246, 1277, 5202, 1501, 11857, 9467, 1029, 2917, 4203, 4533, 6166, 1258, 6959, 1086, 1017, 2787, 4346, 5561, 1130, 1561, 7342, 21870, 79, 3725, 1953, 75, 1045, 84, 6844, 3951, 20804, 12329, 19650, 9319, 3129, 1461, 6056, 17965, 1536, 19168, 8829, 6005, 9050, 7929, 1192, 1401, 20570, 1268, 17722, 13379, 14584, 11253, 21292, 15954, 1114, 4786, 7154, 4639, 25426, 5099, 2020, 4396, 6005, 11104, 19061, 1940, 1958, 18630, 1009, 4280, 2324, 2576, 1383, 21707, 3125, 1691, 14528, 3125, 3141, 5237, 2164, 1797, 1568, 95, 8153, 30091, 4210, 1152, 7453, 32, 4833, 13134, 12461, 1152, 12461, 32, 30148, 1144, 8165, 4138, 1152, 1128, 1530, 32, 25296, 1152, 22172, 4987, 7054, 6423, 1213, 7711, 1, 29653, 12875, 1118, 2089, 1143, 5600, 1048, 1096, 3179, 4918, 1048, 1687, 1976, 2593, 3748, 1026, 7534, 3635, 1114, 9320, 2340, 1072, 1592, 3041, 1054, 1048, 18001, 1006, 5662, 2427, 1126, 2284, 28147, 1307, 2826, 3036, 1009, 7534, 1704, 7065, 1009, 1503, 1620, 1160, 1261, 22102, 1043, 1687, 1071, 2979, 1006, 6375, 1009, 1927, 19065, 1096, 1048, 1511, 1687, 2467, 1126, 2306, 2237, 16298, 3100, 17456, 1124, 2322, 18686, 1084, 1566, 1381, 1702, 1557, 1048, 1160, 1006, 2333, 11097, 1026, 1048, 1323, 6733, 1009, 6672, 1871, 13351, 1905, 4578, 82, 1631, 1006, 20356, 2204, 1089, 1006, 4281, 1009, 1094, 2924, 1086, 1189, 1034, 1048, 6471, 1072, 1592, 9791, 2092, 18, 1315, 1656, 1054, 2143, 4898, 1533, 1712, 1751, 1271, 9644, 8177, 1048, 3768, 18, 1195, 1118, 1323, 5813, 3685, 8, 1054, 16433, 1463, 3905, 7274, 1060, 9320, 7001, 1322, 2637, 1033, 175, 5386, 18, 1206, 2637, 1746, 1070, 1230, 1006, 5085, 1049, 2011, 1206, 1495, 1592, 1322, 3469, 1271, 2688, 1503, 29790, 1133, 1009, 12139, 1159, 2856, 6100, 1229, 2764, 1400, 4533, 1005, 1178, 3259, 1071, 3100, 1493, 12393, 20883, 12894, 1229, 1068, 1160, 3754, 1413, 1458, 1715, 6190, 1833, 1043, 2237, 1086, 1189, 1034, 1160, 1195, 12907, 1511, 26949, 1043, 1687, 1071, 1323, 1311, 2431, 1095, 1819, 1114, 7673, 5493, 1043, 1734, 19065, 1160, 2204, 1089, 3192, 1009, 23813, 1495, 16037, 1118, 9940, 1048, 4172, 10272, 1870, 1511, 1160, 3074, 1744, 2334, 6581, 14710, 3339, 4424, 1305, 9163, 2934, 9234, 1206, 3659, 9802, 10182, 1213, 7462, 1049, 1048, 2755, 1511, 1566, 2449, 4961, 25720, 6889, 8134, 2250, 1962, 1011, 3893, 1687, 1049, 15259, 2845, 1006, 1323, 2997, 3943, 29104, 1927, 1043, 1044, 10683, 8760, 4559, 18, 1048, 1072, 7355, 19, 3655, 2163, 1100, 1516, 8757, 13578, 1114, 2921, 10584, 1118, 10312, 8757, 4710, 1026, 10683, 1005, 1620, 16623, 3598, 1769, 2631, 675, 6431, 1704, 1012, 1040, 5140, 2637, 13311, 156, 1599, 1048, 1323, 4454, 2191, 1305, 7134, 9744, 2656, 2449, 21349, 1309, 5956, 1048, 1687, 1566, 2257, 1323, 6440, 3943, 79, 1406, 1309, 1511, 19205, 1356, 4898, 12481, 3745, 1048, 1006, 22699, 1836, 9485, 1043, 13054, 1060, 79, 1935, 79, 1005, 5039, 1089, 1068, 6993, 1026, 1048, 1836, 1847, 22102, 1071, 3100, 1493, 17386, 19065, 1005, 3062, 1049, 4249, 1049, 18559, 1687, 1323, 1345, 1685, 6485, 6373, 3208, 3789, 1810, 1406, 1005, 4202, 7890, 1435, 1715, 84, 4255, 1094, 13726, 1280, 10365, 1068, 6529, 1068, 1419, 2306, 1836, 8723, 1026, 6373, 3208, 91, 2100, 2013, 5573, 1048, 1745, 2075, 79, 1026, 6373, 3208, 91, 8, 1043, 1044, 1345, 1577, 2191, 20277, 1309, 1846, 13777, 10495, 1493, 13311, 156, 2270, 2656, 1357, 1086, 1189, 1411, 1309, 1357, 4087, 27214, 1441, 1153, 1250, 1160, 5192, 1058, 3074, 13520, 3469, 1571, 1160, 2039, 3982, 1159, 2739, 2624, 1566, 3768, 18, 1309, 1068, 4982, 2237, 1847, 11553, 1006, 11589, 21944, 1084, 1616, 1323, 2521, 8356, 1049, 7326, 1049, 14984, 19436, 1685, 1048, 13036, 1089, 1072, 4434, 18935, 11591, 9843, 1233, 8020, 16575, 3900, 1817, 7326, 1919, 1048, 675, 14768, 1817, 1852, 1271, 25795, 1299, 2155, 8478, 1930, 1160, 2306, 1299, 1836, 7153, 18, 1309, 2306, 1836, 7153, 1118, 1299, 1256, 11021, 1467, 3969, 1048, 6119, 2374, 1616, 1048, 5553, 10977, 1715, 1266, 2097, 4540, 9970, 2092, 3439, 1005, 2092, 4961, 1712, 1620, 1096, 1114, 1163, 1189, 1034, 1049, 1799, 0, 18, 1309, 2306, 4337, 1026, 1048, 21233, 1294, 7024, 2250, 3226, 24011, 24011, 24011, 24011, 35, 4093, 1032, 1040, 7759, 3713, 89, 20980, 1048, 1687, 12941, 2237, 3194, 1140, 1206, 1096, 1657, 2348, 15313, 23018, 57, 2856, 1063, 16216, 1048, 3326, 1089, 1072, 3810, 4434, 1096, 1054, 2869, 1213, 20410, 5381, 1077, 1663, 2350, 2080, 19513, 1309, 1620, 3074, 3748, 12190, 7676, 1996, 1009, 3805, 15639, 1054, 4884, 5721, 26331, 1152, 12266, 1118, 1924, 2432, 1810, 1726, 1578, 24646, 1422, 5812, 5, 10622, 89, 1796, 1127, 9541, 1086, 1189, 1034, 1049, 1799, 0, 18, 1086, 1189, 1034, 1049, 1844, 0, 18, 1924, 23492, 1073, 7282, 22963, 2795, 1599, 2971, 1009, 3149, 1009, 4238, 17326, 3039, 3226, 59, 3039, 10346, 2912, 44, 24779, 1715, 3021, 75, 20250, 1040, 1357, 3971, 1009, 21534, 2237, 9269, 1309, 9470, 8811, 9511, 1068, 1616, 8530, 1187, 9511, 1096, 1048, 3068, 14371, 1126, 9470, 5274, 1060, 11518, 1005, 9470, 1048, 9280, 1890, 1026, 1557, 1048, 1503, 1274, 1461, 1068, 19532, 3473, 3616, 17908, 5153, 7065, 1005, 1184, 2512, 1071, 1068, 7110, 19065, 1096, 1006, 7188, 2176, 3225, 1049, 12916, 1660, 1049, 20410, 1159, 3634, 18, 1261, 2204, 1069, 15220, 8161, 1323, 19033, 8989, 8134, 1307, 2250, 1009, 7676, 1005, 3108, 2223, 1551, 2738, 8476, 8383, 1026, 2092, 5485, 12916, 8655, 2340, 6479, 5047, 1657, 1184, 1094, 5987, 1114, 10432, 8643, 1005, 1160, 2257, 7072, 1009, 3056, 2080, 1473, 1728, 4567, 1009, 1493, 10572, 1006, 15672, 26244, 10203, 1044, 12916, 1660, 6118, 1100, 1309, 1592, 3027, 25640, 1026, 1128, 14882, 1542, 15482, 2526, 1049, 23645, 20407, 5406, 4547, 9470, 1048, 1663, 2539, 5930, 1400, 1005, 16466, 4306, 16350, 1114, 1150, 7594, 1406, 1068, 3417, 1026, 4861, 1043, 1006, 2348, 2519, 1071, 6071, 1503, 31563, 3100, 1413, 1458, 1005, 6056, 20141, 1291, 675, 3377, 45, 13701, 1009, 19782, 1213, 19510, 8159, 77, 1870, 2691, 4320, 6417, 1048, 6892, 1043, 2653, 1734, 15241, 1400, 1323, 15237, 1202, 3068, 5042, 23903, 10948, 2729, 1060, 9269, 7954, 1848, 1750, 75, 3958, 1132, 6941, 8739, 2507, 7723, 1048, 1006, 5042, 2261, 3205, 1309, 1026, 2751, 1096, 1048, 3179, 2289, 1566, 2237, 1054, 4272, 24894, 8435, 1005, 10427, 1040, 1048, 1054, 7189, 1030, 18777, 13357, 5721, 26331, 1152, 12266, 1118, 1924, 2432, 1810, 1726, 21605, 5235, 1422, 5812, 5, 10622, 89, 2985, 6469, 1005, 19510, 5, 1022, 3358, 4746, 2182, 1009, 3149, 1009, 4238, 1605, 2458, 2705, 7222, 1566, 3326, 1089, 1094, 1472, 9175, 5956, 1026, 6530, 1006, 2496, 1013, 1871, 1009, 16891, 4961, 1048, 4292, 17627, 2088, 7872, 1094, 1086, 1189, 1034, 1049, 2011, 2284, 1323, 3509, 1006, 21341, 5956, 1048, 1616, 1195, 3757, 1475, 3567, 2654, 2011, 1072, 1844, 0, 9791, 1005, 1687, 1836, 1072, 1799, 0, 18, 1511, 1006, 1050, 1803, 11830, 6809, 3958, 8, 9475, 1687, 1495, 7643, 1048, 1503, 1836, 12805, 1962, 9475, 1309, 1169, 1785, 1589, 1026, 6530, 1005, 1054, 9033, 20099, 1009, 13438, 1159, 1048, 1068, 5379, 1058, 1503, 19454, 1006, 6530, 1715, 75, 1503, 3738, 1034, 12805, 18, 1118, 1702, 8410, 9528, 9470, 1048, 1663, 12190, 3469, 1005, 1511, 1503, 5039, 1089, 1213, 2386, 1571, 18502, 1068, 1419, 9475, 1687, 1566, 2284, 31982, 8333, 2449, 5391, 1058, 1687, 1836, 3748, 6521, 1068, 4659, 1114, 2451, 1071, 1096, 1072, 1799, 0, 1048, 2947, 1026, 30965, 6190, 1206, 1058, 1566, 2237, 3748, 1026, 7534 ]

[ 1009, 12162, 1009, 9607, 1005, 1009, 5628, 4444, 21911, 1213, 4461, 1009, 3248, 1118, 17134, 1879, 9760, 1364, 93, 14664, 1096, 1044, 4577, 21429, 1054, 5061, 1009, 29214, 26869, 8244, 1435, 1054, 1094, 6925, 1009, 12357, 13256, 1236, 1118, 1094, 10587, 1009, 2736, 9308, 2800, 5480, 1009, 6520, 1327, 8728, 15368, 5041, 19135, 1005, 1638, 2905, 1009, 16361, 6546, 1847, 1124, 1184, 5179, 1312, 8000, 29214, 5457, 1680, 13535, 3134, 1094, 5225, 2027, 24117, 1365, 1044, 1005, 2256, 4344, 83, 1333, 5838, 17966, 9907, 1349, 19917, 1371, 1054, 3056, 1681, 1780, 1161, 3408, 1680, 4331, 1009, 1044, 4344, 83, 4475, 1482, 11465, 1555, 6481, 1159, 1054, 27605, 1493, 2872, 1010, 1206, 1484, 13126, 1229, 1096, 8989, 11246, 6931, 5680, 26760, 1072, 1428, 1026, 2000, 1291, 1976, 1884, 2148, 1005, 1211, 5876, 12940, 1658, 8202, 1009, 29214, 5457, 1096, 1493, 24078, 1060, 17314, 1049, 17650, 1224, 20919, 1005, 5789, 18, 14161, 1298, 5924, 3056, 16267, 1213, 2729, 1049, 7313, 1063, 8135, 30188, 3121, 1006, 6486, 23860, 1005, 1495, 1345, 15156, 1015, 1513, 83, 1391, 1693, 4078, 1364, 1132, 26600, 1049, 2380, 1009, 29214, 26869, 1847, 3654, 22631, 1161, 15475, 1658, 8202, 1009, 29214, 5457, 1318, 1298, 5924, 16267, 1009, 2303, 1043, 1006, 8692, 1005, 13667, 1271, 19781, 22399, 3273, 1159, 1118, 3018, 1068, 19781, 1009, 10419, 22310, 1126, 1006, 8692, 11747, 1206, 1006, 3596, 3553, 4195, 2229, 1091, 6660, 1054, 2054, 3562, 1016, 26566, 1640, 6997, 1144, 2287, 25492, 1009, 3894, 1054, 1044, 29214, 5457, 1298, 20957, 23452, 1009, 675, 1129, 1990, 1049, 7108, 1071, 1107, 4710, 12496, 1149, 1213, 5654, 1359, 2801, 1349, 2247, 1049, 16666, 3888, 1187, 26600, 1005, 1271, 22474, 28798, 1022, 2222, 1537, 5284, 1006, 16559, 5092, 1144, 12263, 13954, 12430, 1048, 5632, 1009, 9255, 5308, 9428, 1009, 6167, 19440, 1627, 4548, 1132, 4496, 31215, 1009, 29214, 5457, 2083, 1128, 52, 4134, 1175, 19835, 1530, 1054, 1048, 1132, 1994, 14468, 1009, 6250, 11196, 1071, 1363, 1007, 15, 1005, 4208, 6128, 20610, 27667, 1054, 1044, 1592, 3311, 1114, 10598, 1049, 4112, 91, 2784, 5754, 18600, 1009, 1871, 8636, 1118, 2693, 1006, 2962, 3803, 3204, 1096, 1026, 10619, 10035, 19293, 2691, 3145, 10457, 6842, 1068, 7112, 15987, 19769, 1005, 9255, 10741, 1654, 1054, 2357, 1059, 1128, 52, 3883, 4134, 1175, 19835, 1530, 1054, 1048, 1132, 1994, 14468, 1009, 6250, 11196, 1071, 1363, 1007, 15, 1005, 4208, 6128, 20610, 27667, 1054, 1044, 1592, 3311, 1114, 10598, 1049, 13461, 1005, 18600, 1054, 1751, 1060, 7442, 1118, 1044, 3872, 24194, 7092, 18670, 1124, 5502, 1009, 4208, 6128, 1005, 3548, 15, 1005, 1054, 2924, 1751, 2429, 2921, 7442, 2328, 1009, 1791, 1994, 14468, 24875, 1059, 1128, 52, 3883, 1175, 19835, 1530, 1054, 1048, 1132, 1994, 14468, 1009, 6250, 11196, 1071, 1363, 1007, 15, 1005, 4208, 6128, 20610, 27667, 1054, 1044, 1592, 3311, 1114, 10598, 1049, 13461, 1005, 18600, 1118, 1044, 3872, 1994, 1088, 2212, 2627, 11890, 1124, 5502, 1009, 4208, 6128, 1005, 3548, 1118, 2693, 1006, 7442, 1059, 1128, 58, 1175, 19835, 1530, 1054, 1048, 1026, 24194, 4208, 6128, 1096, 1173, 13358, 1054, 1044, 16956, 1136, 30903, 1049, 16956, 1136, 13721, 1213, 24194, 1009, 6250, 11196, 20, 9476, 1871, 1124, 22014, 1049, 2380, 17580, 1826, 29214, 3569, 1054, 1044, 16956, 1136, 1009, 29214, 5457, 30049, 1278, 30903, 1049, 16956, 1136, 1009, 29214, 5457, 1060, 5565, 3803, 7509, 10619, 1096, 27257, 1519, 1006, 7461, 1009, 1119, 9833, 89, 1005, 1119, 56, 89, 1114, 7442, 11196, 20, 2656, 19293, 1068, 7112, 15987, 19769, 1206, 4290, 9839, 1059, 27692, 1175, 19835, 1530, 1054, 1048, 1124, 5314, 17987, 1327, 6659, 1312, 1060, 3548, 1206, 1026, 3311, 1009, 10598, 1096, 1173, 13358, 2328, 1009, 1094, 5225, 2027, 20, 2034, 22014, 1327, 29214, 3569, 1206, 1054, 16956, 2502, 24875, 1068, 1752, 1094, 26059, 1206, 1054, 1044, 16956, 1136, 3707, 1068, 2252, 4088, 1206, 1620, 1386, 7997, 1049, 1592, 16956, 1136, 1009, 29214, 5457, 1060, 31018, 5754, 1160, 6718, 1357, 5225, 2027, 3427, 1813, 1149, 16153, 19587, 5308, 9428, 1693, 1178, 26089, 1206, 19689, 1005, 1927, 16532, 1044, 3439, 1068, 2808, 19587, 5124, 15115, 1063, 12640, 675, 5856, 19587, 5308, 27284, 2328, 1009, 1094, 6520, 1233, 12739, 23508, 1048, 1006, 10419, 11196, 14888, 75, 2691, 6963, 16722, 1048, 4088, 2661, 1202, 5969, 2925, 5308, 88, 5345, 1063, 7064, 1009, 1044, 11265, 2380, 1009, 29214, 5457, 1318, 1298, 20376, 1132, 8016, 1054, 1867, 8424, 1054, 4278, 1009, 9327, 3577, 20702, 10781, 3772, 1902, 13461, 17580, 1680, 13535, 1005, 11384, 1976, 1261, 1044, 2380, 1009, 29214, 5457, 20, 2858, 2380, 1009, 29214, 5457, 16907, 13535, 1005, 12847, 12621, 5604, 1132, 5726, 1481, 1892, 1727, 1009, 2054, 3562, 1016, 5308, 9428, 6762, 1319, 4178, 90, 4275, 15, 1054, 6486, 5308, 27439, 2247, 1009, 7904, 1132, 5015, 1009, 5969, 2925, 20400, 6384, 20356, 1124, 16319, 1327, 1049, 90, 1312, 1009, 2125, 1008, 13148, 1791, 1187, 2688, 1327, 15537, 1206, 4415, 1005, 16460, 2586, 1005, 1026, 3078, 3478, 29859, 1187, 4181, 18, 1096, 1026, 26843, 1138, 10474, 9757, 4629, 5219, 1026, 27250, 4083, 2138, 6547, 1026, 4308, 1096, 1791, 1008, 2972, 1413, 2746, 1005, 6531, 3340, 4593, 1506, 1005, 4208, 6128, 15, 1005, 1044, 1008, 1468, 15114, 1077, 1071, 1363, 1007, 1565, 1482, 8258, 1274, 5035, 1026, 4308, 7719, 1054, 1048, 1791, 1008, 2972, 1327, 15114, 6683, 4593, 1506, 1005, 4208, 6128, 15, 1005, 1294, 2604, 1334, 1837, 1026, 22899, 1043, 1006, 2093, 2983, 26843, 1776, 3878, 1096, 6715, 1044, 4308, 6934, 1114, 16559, 1156, 4055, 5251, 4332, 28, 29686, 1318, 1043, 1664, 1132, 1008, 2972, 15114, 1037, 1229, 3702, 3630, 1049, 4308, 16563, 31321, 11163, 4176, 9176, 1009, 22039, 3367, 17421, 14747, 7651, 4306, 1688, 5636, 19126, 1072, 2490, 1049, 29214, 5457, 5308, 20686, 1118, 3018, 1026, 2490, 1009, 29214, 5457, 17580, 29859, 19963, 1022, 1530, 1128, 58, 1349, 1048, 5759, 1044, 4461, 5573, 1233, 1834, 1187, 5015, 1060, 7442, 2170, 1048, 1318, 11272, 1054, 4461, 1132, 6486, 20, 3204, 10619, 1009, 29214, 5457, 1976, 1178, 6715, 1657, 1054, 7653, 1850, 11072, 5494, 1159, 1054, 4290, 1571, 1837, 1094, 6654, 15070, 5336, 18259, 10320, 5160, 1005, 1620, 1992, 1043, 2754, 12156, 1005, 8665, 6561, 1658, 1063, 5499, 58, 1144, 12263, 13954, 1839, 13320, 1026, 2490, 1009, 4306, 4267, 1009, 29214, 26869, 16629, 5579, 1009, 17044, 1118, 1751, 1187, 2000, 11048, 2800, 1044, 10474, 29794, 1026, 10619, 1128, 11151, 12573, 1357, 16559, 14762, 6071, 1118, 3018, 24379, 1294, 2138, 2365, 6384, 1048, 1044, 2380, 1128, 58, 1058, 1624, 9224, 1072, 10619, 1128, 52, 4134, 18, 3283, 1048, 1044, 24194, 1009, 6250, 5838, 12913, 3548, 1349, 18640, 1213, 4208, 6128, 4564, 1114, 3583, 1060, 31018, 1957, 82, 13299, 1664, 1132, 29214, 23153, 1048, 1996, 3586, 6659, 1166, 1113, 10778, 1233, 21205, 1009, 2054, 3562, 1016, 26566, 1640, 3589, 1096, 9900, 4445, 5379, 1048, 1026, 10619, 1128, 58, 1225, 9101, 25910, 2340, 1098, 1281, 8480, 1381, 18521, 8351, 1016, 9331, 1009, 4957, 20, 1138, 10619, 1128, 58, 1096, 26755, 17575, 1629, 5615, 1060, 4281, 1009, 15996, 1009, 2499, 2184, 26566, 19433, 1048, 1058, 9246, 1046, 1118, 3597, 10603, 1206, 19840, 1236, 1009, 2054, 3562, 1016, 9414, 18943, 5267, 1009, 4957, 1365, 4208, 6128, 1005, 29214, 5457, 29859, 1096, 1681, 7201, 3312, 1236, 1068, 1026, 5109, 1271, 6768, 1009, 10598, 1187, 6486, 16956, 19, 1045, 4563, 1391, 13083, 19716, 5579, 1009, 23684, 3960, 20, 1205, 159, 10188, 6021, 2246, 1096, 3822, 3707, 1006, 23684, 1009, 6486, 1054, 9255, 1048, 5036, 2490, 1009, 29214, 5457, 17580, 6659, 1599, 1054, 2250, 1009, 2208, 3420, 1312, 1658, 4081, 1325, 1054, 8394, 19185, 1132, 29214, 23153, 14140, 1044, 3872, 2380, 1169, 89, 1400, 3437, 10172, 1026, 10619, 1128, 52, 4134, 4349, 1353, 2940, 1048, 1668, 9271, 1160, 8496, 75, 1006, 12251, 1026, 24194, 4208, 6128, 1213, 24194, 1009, 6250, 4593, 1047, 3548, 15, 5232, 1114, 2468, 2166, 3481, 1493, 3707, 1048, 1318, 4121, 1589, 1132, 8971, 24084, 1060, 7461, 1271, 9255, 5308, 9428, 3800, 1318, 1537, 7111, 1148, 4488, 76, 2215, 1145, 5, 16717, 2431, 1165, 5788, 1876, 5, 7428, 12581, 1009, 1134, 1052, 17166, 3193, 2629, 12258, 10814, 21979, 11196, 1, 3769, 1295, 1009, 4143, 86, 2057, 3448, 1711, 20126, 2542, 12261, 1100, 3509, 4833, 3769, 1295, 1054, 7036, 3141, 8136, 14042, 150, 26837, 1009, 3584, 4934, 1711, 20126, 24152, 9145, 9247, 3367, 88, 4757, 1342, 1759, 1056, 3769, 1295, 2663, 1017, 1092, 1452, 15, 1711, 3338, 1759, 1056, 3769, 1295, 2663, 1719, 1136, 1589, 15, 1711, 6263, 1759, 1056, 3769, 1295, 28882, 1711, 1060, 5704, 1009, 3258, 1092, 1452, 2474, 1078, 2214, 8753, 1759, 1056, 3769, 1295, 3106, 1012, 1047, 4076, 15, 1711, 1641, 3193, 28885, 19648, 3769, 1295, 2663, 25602, 12830, 1711, 3338, 1060, 2312, 1029, 3789, 1034, 1759, 1056, 3769, 1295, 1009, 2293, 21648, 1153, 1711, 3338, 1060, 11288, 2795, 1199, 8652, 10043, 1759, 1056, 3769, 1295, 14042, 150, 26837, 1009, 3584, 4934, 2645, 1052, 10043, 15, 1711, 1641, 1072, 6491, 1009, 1972, 24316, 162, 1759, 1056, 3769, 1295, 29770, 6142, 15, 1711, 5603, 1009, 2188, 6142, 3160, 1014, 91, 1759, 1056, 3769, 1295, 1009, 1062, 3471, 1270, 71, 23638, 1711, 1072, 6491, 1009, 4833, 23966, 27585, 1009, 28070, 1, 1574, 6943, 3157, 1065, 1107, 1096, 1044, 9808, 16747, 1060, 2531, 1271, 1238, 9347, 1016, 26684, 19174, 6943, 3157, 1065, 1107, 25588, 1189, 86, 2140, 71, 19174, 6943, 3157, 1065, 1107, 6414, 1814, 19174, 6943, 3157, 1065, 1107, 17305, 2461, 79, 19174, 6943, 3157, 1065, 1107, 2623, 11231, 19174, 6943, 3157, 1065, 1107, 7033, 1192, 9809, 19174, 6943, 3157, 1065, 1107, 20447, 72, 29768, 3133, 1007, 13424, 1, 1063, 14924, 22329, 1096, 1044, 4657, 23269, 1577, 5062, 1114, 19635, 1009, 1868, 13499, 1270, 18, 6491, 22308, 2690, 20, 4490, 3861, 1096, 1006, 1641, 1009, 1063, 14924, 22329, 29018, 2901, 1605, 4657, 1009, 1063, 14924, 22329, 1096, 15541, 1357, 2511, 16950, 1898, 23033, 7252, 15020, 1048, 8372, 1026, 4657, 1009, 2955, 1138, 1035, 5785, 4228, 1259, 1563, 1009, 7099, 1626, 15, 1233, 18217, 2139, 1205, 1069, 3279, 4015, 3299, 1239, 24215, 4273, 1014, 91, 15, 1072, 4657, 1009, 17903, 1182, 3829, 4228, 1259, 1563, 1009, 8276, 1154, 2548, 19773, 19773, 4, 3133, 14924, 22329, 1, 1119, 3980, 1440, 29096, 1096, 1044, 9808, 16747, 1060, 2531, 1271, 1238, 9347, 1016, 26684, 3296, 2310, 1537, 7, 1, 1128, 17304, 1096, 1044, 4657, 23269, 1577, 5062, 1114, 19635, 1009, 1868, 13499, 1270, 18, 6491, 22308, 2690, 20, 4490, 3861, 1096, 1006, 1641, 1009, 1128, 17304, 29018, 2901, 1605, 4657, 1009, 1128, 17304, 1096, 15541, 1357, 2511, 16950, 1898, 7680, 9721, 2525, 1048, 8372, 1006, 1641, 1009, 4833, 9483, 1213, 4657, 1009, 1868, 13499, 1270, 5, 23033, 7252, 15020, 1048, 8372, 1026, 4657, 1009, 2955, 1138, 1035, 5785, 4228, 1259, 1563, 1009, 7099, 1626, 15, 1233, 18217, 2139, 1205, 1069, 3279, 4015, 3299, 1239, 24215, 4273, 1014, 91, 15, 1072, 4657, 1009, 17903, 1182, 3829, 4228, 1259, 1563, 1009, 8276, 1154, 2548, 19773, 4, 6448, 17304, 1, 1941, 2363, 5785, 1096, 1044, 4657, 23269, 1577, 5062, 1114, 19635, 1009, 4243, 4226, 83, 1626, 17196, 2435, 1615, 10214, 6491, 22308, 2690, 20, 4490, 3861, 1096, 1006, 1641, 1009, 1941, 2363, 5785, 29018, 2901, 1605, 4657, 1009, 1941, 2363, 5785, 1160, 1096, 15541, 1356, 2380, 1009, 15809, 29168, 1049, 14230, 1059, 4, 1110, 63, 2363, 5785, 1, 1796, 2564, 25140, 29454, 15055, 1009, 9871, 1100, 1118, 2624, 13510, 1159, 1796, 2564, 27119, 25140, 29454, 1206, 1796, 2564, 27119, 25140, 29454, 1009, 28839, 2663, 71, 1031, 12759, 675, 1711, 2293, 1009, 6850, 19065, 1195, 1044, 4185, 1291, 1005, 5098, 4011, 7587, 25999, 2433, 1072, 15314, 7977, 1625, 1079, 2586, 1072, 1048, 17268, 1006, 1178, 1026, 4657, 6762, 4409, 3338, 15, 1009, 8527, 1009, 12384, 84, 12223, 6370, 1006, 4611, 1031, 12759, 1054, 1984, 1009, 3383, 1009, 10666, 2534, 1026, 17371, 1187, 24953, 5089, 1009, 7015, 1009, 13755, 25140, 29454, 1005, 1009, 1796, 2564, 15055, 1009, 25564, 20, 4333, 1456, 28622, 30406, 1026, 14809, 3381, 3512, 25140, 29454, 1009, 25564, 20, 3126, 15310, 1054, 6316, 1028, 11208, 73, 1242, 1043, 7980, 1076, 8201, 3391, 1627, 1043, 2306, 2569, 1006, 5380, 11035, 1034, 9832, 2106, 4472, 5155, 1239, 5166, 3556, 1049, 6220, 7385, 4511, 1100, 18893, 1357, 2750, 1472, 1043, 1084, 1674, 1342, 1009, 12206, 8201, 1054, 2595, 1009, 3268, 1009, 5614, 2041, 1114, 4482, 1009, 1764, 4644, 1009, 2976, 1126, 14802, 1054, 2156, 20619, 32, 17866, 1005, 1594, 1498, 1196, 7381, 3367, 83, 2564, 12081, 1043, 1235, 3300, 16341, 3027, 31996, 1124, 6316, 9099, 1005, 1318, 1026, 19490, 1054, 1224, 1641, 11763, 20, 1482, 3902 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1009, 12162, 1009, 9607, 1005, 1009, 5628, 4444, 21911, 1213, 4461, 1009, 3248, 1118, 17134, 1879, 9760, 1364, 93, 14664, 1096, 1044, 4577, 21429, 1054, 5061, 1009, 29214, 26869, 8244, 1435, 1054, 1094, 6925, 1009, 12357, 13256, 1236, 1118, 1094, 10587, 1009, 2736, 9308, 2800, 5480, 1009, 6520, 1327, 8728, 15368, 5041, 19135, 1005, 1638, 2905, 1009, 16361, 6546, 1847, 1124, 1184, 5179, 1312, 8000, 29214, 5457, 1680, 13535, 3134, 1094, 5225, 2027, 24117, 1365, 1044, 1005, 2256, 4344, 83, 1333, 5838, 17966, 9907, 1349, 19917, 1371, 1054, 3056, 1681, 1780, 1161, 3408, 1680, 4331, 1009, 1044, 4344, 83, 4475, 1482, 11465, 1555, 6481, 1159, 1054, 27605, 1493, 2872, 1010, 1206, 1484, 13126, 1229, 1096, 8989, 11246, 6931, 5680, 26760, 1072, 1428, 1026, 2000, 1291, 1976, 1884, 2148, 1005, 1211, 5876, 12940, 1658, 8202, 1009, 29214, 5457, 1096, 1493, 24078, 1060, 17314, 1049, 17650, 1224, 20919, 1005, 5789, 18, 14161, 1298, 5924, 3056, 16267, 1213, 2729, 1049, 7313, 1063, 8135, 30188, 3121, 1006, 6486, 23860, 1005, 1495, 1345, 15156, 1015, 1513, 83, 1391, 1693, 4078, 1364, 1132, 26600, 1049, 2380, 1009, 29214, 26869, 1847, 3654, 22631, 1161, 15475, 1658, 8202, 1009, 29214, 5457, 1318, 1298, 5924, 16267, 1009, 2303, 1043, 1006, 8692, 1005, 13667, 1271, 19781, 22399, 3273, 1159, 1118, 3018, 1068, 19781, 1009, 10419, 22310, 1126, 1006, 8692, 11747, 1206, 1006, 3596, 3553, 4195, 2229, 1091, 6660, 1054, 2054, 3562, 1016, 26566, 1640, 6997, 1144, 2287, 25492, 1009, 3894, 1054, 1044, 29214, 5457, 1298, 20957, 23452, 1009, 675, 1129, 1990, 1049, 7108, 1071, 1107, 4710, 12496, 1149, 1213, 5654, 1359, 2801, 1349, 2247, 1049, 16666, 3888, 1187, 26600, 1005, 1271, 22474, 28798, 1022, 2222, 1537, 5284, 1006, 16559, 5092, 1144, 12263, 13954, 12430, 1048, 5632, 1009, 9255, 5308, 9428, 1009, 6167, 19440, 1627, 4548, 1132, 4496, 31215, 1009, 29214, 5457, 2083, 1128, 52, 4134, 1175, 19835, 1530, 1054, 1048, 1132, 1994, 14468, 1009, 6250, 11196, 1071, 1363, 1007, 15, 1005, 4208, 6128, 20610, 27667, 1054, 1044, 1592, 3311, 1114, 10598, 1049, 4112, 91, 2784, 5754, 18600, 1009, 1871, 8636, 1118, 2693, 1006, 2962, 3803, 3204, 1096, 1026, 10619, 10035, 19293, 2691, 3145, 10457, 6842, 1068, 7112, 15987, 19769, 1005, 9255, 10741, 1654, 1054, 2357, 1059, 1128, 52, 3883, 4134, 1175, 19835, 1530, 1054, 1048, 1132, 1994, 14468, 1009, 6250, 11196, 1071, 1363, 1007, 15, 1005, 4208, 6128, 20610, 27667, 1054, 1044, 1592, 3311, 1114, 10598, 1049, 13461, 1005, 18600, 1054, 1751, 1060, 7442, 1118, 1044, 3872, 24194, 7092, 18670, 1124, 5502, 1009, 4208, 6128, 1005, 3548, 15, 1005, 1054, 2924, 1751, 2429, 2921, 7442, 2328, 1009, 1791, 1994, 14468, 24875, 1059, 1128, 52, 3883, 1175, 19835, 1530, 1054, 1048, 1132, 1994, 14468, 1009, 6250, 11196, 1071, 1363, 1007, 15, 1005, 4208, 6128, 20610, 27667, 1054, 1044, 1592, 3311, 1114, 10598, 1049, 13461, 1005, 18600, 1118, 1044, 3872, 1994, 1088, 2212, 2627, 11890, 1124, 5502, 1009, 4208, 6128, 1005, 3548, 1118, 2693, 1006, 7442, 1059, 1128, 58, 1175, 19835, 1530, 1054, 1048, 1026, 24194, 4208, 6128, 1096, 1173, 13358, 1054, 1044, 16956, 1136, 30903, 1049, 16956, 1136, 13721, 1213, 24194, 1009, 6250, 11196, 20, 9476, 1871, 1124, 22014, 1049, 2380, 17580, 1826, 29214, 3569, 1054, 1044, 16956, 1136, 1009, 29214, 5457, 30049, 1278, 30903, 1049, 16956, 1136, 1009, 29214, 5457, 1060, 5565, 3803, 7509, 10619, 1096, 27257, 1519, 1006, 7461, 1009, 1119, 9833, 89, 1005, 1119, 56, 89, 1114, 7442, 11196, 20, 2656, 19293, 1068, 7112, 15987, 19769, 1206, 4290, 9839, 1059, 27692, 1175, 19835, 1530, 1054, 1048, 1124, 5314, 17987, 1327, 6659, 1312, 1060, 3548, 1206, 1026, 3311, 1009, 10598, 1096, 1173, 13358, 2328, 1009, 1094, 5225, 2027, 20, 2034, 22014, 1327, 29214, 3569, 1206, 1054, 16956, 2502, 24875, 1068, 1752, 1094, 26059, 1206, 1054, 1044, 16956, 1136, 3707, 1068, 2252, 4088, 1206, 1620, 1386, 7997, 1049, 1592, 16956, 1136, 1009, 29214, 5457, 1060, 31018, 5754, 1160, 6718, 1357, 5225, 2027, 3427, 1813, 1149, 16153, 19587, 5308, 9428, 1693, 1178, 26089, 1206, 19689, 1005, 1927, 16532, 1044, 3439, 1068, 2808, 19587, 5124, 15115, 1063, 12640, 675, 5856, 19587, 5308, 27284, 2328, 1009, 1094, 6520, 1233, 12739, 23508, 1048, 1006, 10419, 11196, 14888, 75, 2691, 6963, 16722, 1048, 4088, 2661, 1202, 5969, 2925, 5308, 88, 5345, 1063, 7064, 1009, 1044, 11265, 2380, 1009, 29214, 5457, 1318, 1298, 20376, 1132, 8016, 1054, 1867, 8424, 1054, 4278, 1009, 9327, 3577, 20702, 10781, 3772, 1902, 13461, 17580, 1680, 13535, 1005, 11384, 1976, 1261, 1044, 2380, 1009, 29214, 5457, 20, 2858, 2380, 1009, 29214, 5457, 16907, 13535, 1005, 12847, 12621, 5604, 1132, 5726, 1481, 1892, 1727, 1009, 2054, 3562, 1016, 5308, 9428, 6762, 1319, 4178, 90, 4275, 15, 1054, 6486, 5308, 27439, 2247, 1009, 7904, 1132, 5015, 1009, 5969, 2925, 20400, 6384, 20356, 1124, 16319, 1327, 1049, 90, 1312, 1009, 2125, 1008, 13148, 1791, 1187, 2688, 1327, 15537, 1206, 4415, 1005, 16460, 2586, 1005, 1026, 3078, 3478, 29859, 1187, 4181, 18, 1096, 1026, 26843, 1138, 10474, 9757, 4629, 5219, 1026, 27250, 4083, 2138, 6547, 1026, 4308, 1096, 1791, 1008, 2972, 1413, 2746, 1005, 6531, 3340, 4593, 1506, 1005, 4208, 6128, 15, 1005, 1044, 1008, 1468, 15114, 1077, 1071, 1363, 1007, 1565, 1482, 8258, 1274, 5035, 1026, 4308, 7719, 1054, 1048, 1791, 1008, 2972, 1327, 15114, 6683, 4593, 1506, 1005, 4208, 6128, 15, 1005, 1294, 2604, 1334, 1837, 1026, 22899, 1043, 1006, 2093, 2983, 26843, 1776, 3878, 1096, 6715, 1044, 4308, 6934, 1114, 16559, 1156, 4055, 5251, 4332, 28, 29686, 1318, 1043, 1664, 1132, 1008, 2972, 15114, 1037, 1229, 3702, 3630, 1049, 4308, 16563, 31321, 11163, 4176, 9176, 1009, 22039, 3367, 17421, 14747, 7651, 4306, 1688, 5636, 19126, 1072, 2490, 1049, 29214, 5457, 5308, 20686, 1118, 3018, 1026, 2490, 1009, 29214, 5457, 17580, 29859, 19963, 1022, 1530, 1128, 58, 1349, 1048, 5759, 1044, 4461, 5573, 1233, 1834, 1187, 5015, 1060, 7442, 2170, 1048, 1318, 11272, 1054, 4461, 1132, 6486, 20, 3204, 10619, 1009, 29214, 5457, 1976, 1178, 6715, 1657, 1054, 7653, 1850, 11072, 5494, 1159, 1054, 4290, 1571, 1837, 1094, 6654, 15070, 5336, 18259, 10320, 5160, 1005, 1620, 1992, 1043, 2754, 12156, 1005, 8665, 6561, 1658, 1063, 5499, 58, 1144, 12263, 13954, 1839, 13320, 1026, 2490, 1009, 4306, 4267, 1009, 29214, 26869, 16629, 5579, 1009, 17044, 1118, 1751, 1187, 2000, 11048, 2800, 1044, 10474, 29794, 1026, 10619, 1128, 11151, 12573, 1357, 16559, 14762, 6071, 1118, 3018, 24379, 1294, 2138, 2365, 6384, 1048, 1044, 2380, 1128, 58, 1058, 1624, 9224, 1072, 10619, 1128, 52, 4134, 18, 3283, 1048, 1044, 24194, 1009, 6250, 5838, 12913, 3548, 1349, 18640, 1213, 4208, 6128, 4564, 1114, 3583, 1060, 31018, 1957, 82, 13299, 1664, 1132, 29214, 23153, 1048, 1996, 3586, 6659, 1166, 1113, 10778, 1233, 21205, 1009, 2054, 3562, 1016, 26566, 1640, 3589, 1096, 9900, 4445, 5379, 1048, 1026, 10619, 1128, 58, 1225, 9101, 25910, 2340, 1098, 1281, 8480, 1381, 18521, 8351, 1016, 9331, 1009, 4957, 20, 1138, 10619, 1128, 58, 1096, 26755, 17575, 1629, 5615, 1060, 4281, 1009, 15996, 1009, 2499, 2184, 26566, 19433, 1048, 1058, 9246, 1046, 1118, 3597, 10603, 1206, 19840, 1236, 1009, 2054, 3562, 1016, 9414, 18943, 5267, 1009, 4957, 1365, 4208, 6128, 1005, 29214, 5457, 29859, 1096, 1681, 7201, 3312, 1236, 1068, 1026, 5109, 1271, 6768, 1009, 10598, 1187, 6486, 16956, 19, 1045, 4563, 1391, 13083, 19716, 5579, 1009, 23684, 3960, 20, 1205, 159, 10188, 6021, 2246, 1096, 3822, 3707, 1006, 23684, 1009, 6486, 1054, 9255, 1048, 5036, 2490, 1009, 29214, 5457, 17580, 6659, 1599, 1054, 2250, 1009, 2208, 3420, 1312, 1658, 4081, 1325, 1054, 8394, 19185, 1132, 29214, 23153, 14140, 1044, 3872, 2380, 1169, 89, 1400, 3437, 10172, 1026, 10619, 1128, 52, 4134, 4349, 1353, 2940, 1048, 1668, 9271, 1160, 8496, 75, 1006, 12251, 1026, 24194, 4208, 6128, 1213, 24194, 1009, 6250, 4593, 1047, 3548, 15, 5232, 1114, 2468, 2166, 3481, 1493, 3707, 1048, 1318, 4121, 1589, 1132, 8971, 24084, 1060, 7461, 1271, 9255, 5308, 9428, 3800, 1318, 1537, 7111, 1148, 4488, 76, 2215, 1145, 5, 16717, 2431, 1165, 5788, 1876, 5, 7428, 12581, 1009, 1134, 1052, 17166, 3193, 2629, 12258, 10814, 21979, 11196, 1, 3769, 1295, 1009, 4143, 86, 2057, 3448, 1711, 20126, 2542, 12261, 1100, 3509, 4833, 3769, 1295, 1054, 7036, 3141, 8136, 14042, 150, 26837, 1009, 3584, 4934, 1711, 20126, 24152, 9145, 9247, 3367, 88, 4757, 1342, 1759, 1056, 3769, 1295, 2663, 1017, 1092, 1452, 15, 1711, 3338, 1759, 1056, 3769, 1295, 2663, 1719, 1136, 1589, 15, 1711, 6263, 1759, 1056, 3769, 1295, 28882, 1711, 1060, 5704, 1009, 3258, 1092, 1452, 2474, 1078, 2214, 8753, 1759, 1056, 3769, 1295, 3106, 1012, 1047, 4076, 15, 1711, 1641, 3193, 28885, 19648, 3769, 1295, 2663, 25602, 12830, 1711, 3338, 1060, 2312, 1029, 3789, 1034, 1759, 1056, 3769, 1295, 1009, 2293, 21648, 1153, 1711, 3338, 1060, 11288, 2795, 1199, 8652, 10043, 1759, 1056, 3769, 1295, 14042, 150, 26837, 1009, 3584, 4934, 2645, 1052, 10043, 15, 1711, 1641, 1072, 6491, 1009, 1972, 24316, 162, 1759, 1056, 3769, 1295, 29770, 6142, 15, 1711, 5603, 1009, 2188, 6142, 3160, 1014, 91, 1759, 1056, 3769, 1295, 1009, 1062, 3471, 1270, 71, 23638, 1711, 1072, 6491, 1009, 4833, 23966, 27585, 1009, 28070, 1, 1574, 6943, 3157, 1065, 1107, 1096, 1044, 9808, 16747, 1060, 2531, 1271, 1238, 9347, 1016, 26684, 19174, 6943, 3157, 1065, 1107, 25588, 1189, 86, 2140, 71, 19174, 6943, 3157, 1065, 1107, 6414, 1814, 19174, 6943, 3157, 1065, 1107, 17305, 2461, 79, 19174, 6943, 3157, 1065, 1107, 2623, 11231, 19174, 6943, 3157, 1065, 1107, 7033, 1192, 9809, 19174, 6943, 3157, 1065, 1107, 20447, 72, 29768, 3133, 1007, 13424, 1, 1063, 14924, 22329, 1096, 1044, 4657, 23269, 1577, 5062, 1114, 19635, 1009, 1868, 13499, 1270, 18, 6491, 22308, 2690, 20, 4490, 3861, 1096, 1006, 1641, 1009, 1063, 14924, 22329, 29018, 2901, 1605, 4657, 1009, 1063, 14924, 22329, 1096, 15541, 1357, 2511, 16950, 1898, 23033, 7252, 15020, 1048, 8372, 1026, 4657, 1009, 2955, 1138, 1035, 5785, 4228, 1259, 1563, 1009, 7099, 1626, 15, 1233, 18217, 2139, 1205, 1069, 3279, 4015, 3299, 1239, 24215, 4273, 1014, 91, 15, 1072, 4657, 1009, 17903, 1182, 3829, 4228, 1259, 1563, 1009, 8276, 1154, 2548, 19773, 19773, 4, 3133, 14924, 22329, 1, 1119, 3980, 1440, 29096, 1096, 1044, 9808, 16747, 1060, 2531, 1271, 1238, 9347, 1016, 26684, 3296, 2310, 1537, 7, 1, 1128, 17304, 1096, 1044, 4657, 23269, 1577, 5062, 1114, 19635, 1009, 1868, 13499, 1270, 18, 6491, 22308, 2690, 20, 4490, 3861, 1096, 1006, 1641, 1009, 1128, 17304, 29018, 2901, 1605, 4657, 1009, 1128, 17304, 1096, 15541, 1357, 2511, 16950, 1898, 7680, 9721, 2525, 1048, 8372, 1006, 1641, 1009, 4833, 9483, 1213, 4657, 1009, 1868, 13499, 1270, 5, 23033, 7252, 15020, 1048, 8372, 1026, 4657, 1009, 2955, 1138, 1035, 5785, 4228, 1259, 1563, 1009, 7099, 1626, 15, 1233, 18217, 2139, 1205, 1069, 3279, 4015, 3299, 1239, 24215, 4273, 1014, 91, 15, 1072, 4657, 1009, 17903, 1182, 3829, 4228, 1259, 1563, 1009, 8276, 1154, 2548, 19773, 4, 6448, 17304, 1, 1941, 2363, 5785, 1096, 1044, 4657, 23269, 1577, 5062, 1114, 19635, 1009, 4243, 4226, 83, 1626, 17196, 2435, 1615, 10214, 6491, 22308, 2690, 20, 4490, 3861, 1096, 1006, 1641, 1009, 1941, 2363, 5785, 29018, 2901, 1605, 4657, 1009, 1941, 2363, 5785, 1160, 1096, 15541, 1356, 2380, 1009, 15809, 29168, 1049, 14230, 1059, 4, 1110, 63, 2363, 5785, 1, 1796, 2564, 25140, 29454, 15055, 1009, 9871, 1100, 1118, 2624, 13510, 1159, 1796, 2564, 27119, 25140, 29454, 1206, 1796, 2564, 27119, 25140, 29454, 1009, 28839, 2663, 71, 1031, 12759, 675, 1711, 2293, 1009, 6850, 19065, 1195, 1044, 4185, 1291, 1005, 5098, 4011, 7587, 25999, 2433, 1072, 15314, 7977, 1625, 1079, 2586, 1072, 1048, 17268, 1006, 1178, 1026, 4657, 6762, 4409, 3338, 15, 1009, 8527, 1009, 12384, 84, 12223, 6370, 1006, 4611, 1031, 12759, 1054, 1984, 1009, 3383, 1009, 10666, 2534, 1026, 17371, 1187, 24953, 5089, 1009, 7015, 1009, 13755, 25140, 29454, 1005, 1009, 1796, 2564, 15055, 1009, 25564, 20, 4333, 1456, 28622, 30406, 1026, 14809, 3381, 3512, 25140, 29454, 1009, 25564, 20, 3126, 15310, 1054, 6316, 1028, 11208, 73, 1242, 1043, 7980, 1076, 8201, 3391, 1627, 1043, 2306, 2569, 1006, 5380, 11035, 1034, 9832, 2106, 4472, 5155, 1239, 5166, 3556, 1049, 6220, 7385, 4511, 1100, 18893, 1357, 2750, 1472, 1043, 1084, 1674, 1342, 1009, 12206, 8201, 1054, 2595, 1009, 3268, 1009, 5614, 2041, 1114, 4482, 1009, 1764, 4644, 1009, 2976, 1126, 14802, 1054, 2156, 20619, 32, 17866, 1005, 1594, 1498, 1196, 7381, 3367, 83, 2564, 12081, 1043, 1235, 3300, 16341, 3027, 31996, 1124, 6316, 9099, 1005, 1318, 1026, 19490, 1054, 1224, 1641, 11763, 20, 1482, 3902 ]

[ 1966, 1161, 1479, 3578, 24607, 675, 106, 4899, 2113, 1009, 2232, 24636, 1322, 1006, 10954, 1068, 11130, 8745, 675, 106, 22875, 1445, 14402, 10773, 1480, 1068, 11130, 8745, 1479, 1005, 11987, 20, 4898, 24046, 1343, 1479, 1068, 17751, 11313, 1005, 9141, 28071, 675, 106, 2430, 72, 16963, 1485, 1990, 1114, 8899, 30850, 1896, 1043, 2490, 5177, 1343, 1271, 1128, 3083, 6599, 24, 2308, 675, 106, 5459, 10984, 1118, 10700, 1009, 1858, 1005, 5061, 675, 106, 2642, 17572, 2311, 11351, 2253, 1009, 1858, 7531, 675, 106, 23010, 1006, 1011, 1316, 1421, 1610, 1018, 1005, 19291, 72, 4199, 675, 106, 1955, 3993, 1027, 6272, 675, 106, 1955, 4991, 1010, 5904, 11993, 675, 106, 12102, 2484, 17125, 675, 106, 1551, 2455, 1272, 6686, 1145, 675, 106, 3619, 7317, 26612, 9183, 675, 106, 8785, 1990, 6085, 1049, 16265, 1035, 1009, 26193, 1, 1063, 1067, 4938, 16874, 6139, 1026, 4711, 1049, 2017, 1484, 30213, 1313, 56, 62, 9621, 2041, 1048, 24201, 1006, 1224, 2618, 1009, 6286, 1043, 27621, 44, 79, 1675, 1068, 15194, 1094, 6520, 1009, 0, 1, 5344, 11019, 2985, 2576, 4634, 6211, 37, 1175, 1067, 3544, 1009, 4734, 5, 5851, 11019, 2985, 2576, 4634, 6211, 3900, 31, 2193, 4875, 1048, 1184, 1376, 14425, 5353, 1072, 7604, 1083, 1479, 4608, 15366, 1802, 14001, 5224, 2539, 8578, 1184, 11296, 3342, 1049, 29077, 1693, 17414, 1184, 5353, 1049, 1048, 1006, 13995, 25576, 11772, 7847, 1160, 1376, 14425, 1224, 14824, 1009, 1858, 3900, 8197, 7847, 1160, 1376, 14425, 1224, 14824, 1009, 1858, 37, 22293, 9637, 2364, 1132, 1779, 7847, 1048, 1160, 1376, 14425, 1224, 14824, 1009, 1858, 7, 1138, 11973, 1184, 8030, 1009, 7350, 1009, 9272, 5450, 1250, 1160, 1096, 1235, 15058, 1005, 1160, 1376, 2576, 1456, 15943, 1063, 2323, 1009, 2992, 1009, 7123, 1006, 2451, 6139, 1048, 1132, 1858, 3472, 1402, 1356, 2963, 44, 4996, 1160, 4343, 1184, 1178, 5822, 1166, 1060, 1224, 7402, 1022, 2275, 1, 28842, 1615, 1060, 20036, 1175, 25192, 1764, 3236, 1175, 60, 2787, 3047, 1175, 4284, 10980, 1175, 15422, 32, 21222, 1797, 1045, 1375, 1582, 1060, 9684, 1009, 9499, 1043, 3629, 1060, 22059, 1183, 1005, 1062, 1660, 2925, 75, 2555, 27878, 1094, 1340, 1076, 3629, 3057, 3681, 1114, 22501, 1615, 1060, 18817, 1124, 2826, 3036, 1009, 1011, 1660, 2925, 75, 1005, 1968, 22370, 1060, 25138, 1596, 20708, 1043, 5426, 3978, 1005, 1620, 1049, 1412, 6648, 1068, 6546, 6428, 20, 17058, 5399, 2123, 1081, 4401, 1318, 5857, 3371, 2457, 90, 1350, 1077, 5795, 1271, 1011, 15563, 7, 1063, 1429, 83, 1040, 1049, 3147, 1038, 2678, 1049, 1079, 2080, 1016, 1009, 1413, 2215, 7, 10119, 11161, 1006, 1664, 1048, 20952, 2998, 12266, 1118, 4244, 18, 7994, 1153, 79, 1726, 12715, 3989, 10620, 23079, 23501, 3233, 14283, 16908, 1060, 5297, 22501, 1615, 1060, 18817, 31701, 1970, 17438, 1400, 2079, 24261, 1594, 1269, 1797, 5071, 4517, 4503, 8562, 10473, 9128, 4326, 27952, 4824, 1084, 1207, 16331, 2545, 18656, 19564, 2545, 1576, 10471, 1615, 1060, 20036, 18483, 1009, 21434, 1049, 2709, 31327, 1779, 3606, 5795, 1059, 1404, 1009, 3113, 1726, 14098, 8037, 9469, 21434, 1049, 7247, 2293, 3279, 1049, 2709, 9469, 5, 0, 980, 675, 0, 980, 675, 0, 980, 21896, 4517, 4503, 8562, 10473, 9128, 4326, 27952, 4824, 1084, 1207, 16331, 2545, 18656, 19564, 2545, 1467, 28842, 1615, 1060, 20036, 1060, 18483, 1009, 21434, 1049, 7247, 7062, 3332, 1236, 1294, 2250, 3186, 1005, 3295, 1009, 12020, 1068, 1006, 6477, 1060, 3619, 1139, 3155, 1068, 1387, 17151, 1005, 28055, 1016, 2968, 19776, 1138, 5317, 1195, 4949, 1072, 4316, 1119, 22944, 1577, 1009, 28842, 1615, 1005, 7312, 1043, 8813, 1009, 4306, 21863, 1060, 24660, 3482, 1193, 9081, 1060, 3233, 1041, 3013, 18805, 1685, 2968, 1165, 18162, 1187, 11815, 1132, 8813, 23866, 5758, 1184, 1322, 1006, 7461, 1009, 22262, 1273, 2742, 1010, 1005, 1305, 4837, 1043, 1026, 14593, 1009, 30009, 1094, 10598, 1184, 11524, 1005, 11997, 1054, 13062, 7278, 2913, 30697, 30364, 1365, 2089, 15623, 1966, 1012, 6039, 4146, 1068, 1026, 2631, 3090, 1009, 5426, 17443, 1347, 1005, 21642, 3423, 2668, 1558, 2923, 1060, 4493, 1009, 1048, 2252, 1124, 6428, 18643, 1040, 1569, 3229, 1384, 6657, 1043, 1356, 16833, 2125, 5715, 1009, 25235, 13924, 1854, 1533, 6280, 1009, 1752, 5548, 3233, 5780, 6071, 4845, 1679, 1456, 6466, 1229, 1005, 15209, 1024, 1026, 4318, 9270, 2647, 3233, 3958, 1124, 4810, 1064, 2543, 4846, 1063, 21222, 7412, 1178, 5191, 1566, 3057, 3681, 1009, 12673, 8580, 1435, 1026, 19823, 1009, 3229, 29182, 3613, 1566, 19443, 1357, 2093, 2404, 1060, 28842, 1615, 1060, 20036, 1533, 2632, 18849, 2350, 5795, 3019, 3044, 13131, 2011, 7, 12266, 1118, 4244, 18, 7994, 1153, 79, 1726, 10535, 32, 3459, 10620, 23079, 23501, 3233, 14283, 1770, 1599, 1884, 2262, 2536, 2081, 25235, 1273, 8582, 5640, 4181, 12722, 2250, 2768, 1046, 1094, 1834, 1797, 2520, 1337, 25662, 7846, 15722, 1041, 4547, 1082, 1921, 1055, 2332, 1146, 8194, 1005, 18646, 1112, 16571, 72, 21424, 1327, 1132, 1422, 3328, 13636, 1068, 10541, 1800, 1159, 1005, 1054, 2306, 4375, 1006, 19331, 5737, 4285, 7151, 1005, 17325, 1298, 11289, 1094, 6697, 11524, 1005, 20732, 1006, 2926, 1068, 1026, 8330, 1060, 1834, 17357, 1118, 4244, 18, 7994, 1153, 79, 1726, 10535, 32, 4990, 10620, 23079, 23501, 12722, 7872, 3233, 14283, 1770, 1599, 29853, 30151, 1910, 2250, 1940, 5742, 9881, 3270, 19074, 1175, 28842, 1615, 1060, 20036, 4895, 57, 1014, 4809, 1096, 6727, 5294, 1072, 30688, 2100, 7672, 1566, 1160, 31380, 1079, 1989, 1004, 4039, 4114, 37, 16172, 1087, 1870, 3449, 2637, 2072, 15574, 20, 5011, 1213, 9735, 1068, 1513, 1100, 3449, 2637, 2072, 10492, 20, 2800, 1572, 4598, 2122, 19131, 16268, 1346, 1294, 2250, 9227, 1054, 1048, 1124, 20142, 4224, 1040, 4306, 11409, 1213, 1592, 1557, 32, 3561, 1400, 3181, 1069, 4525, 20842, 4525, 4141, 6657, 30781, 1049, 9709, 1009, 2573, 1005, 3897, 37, 6174, 19517, 1327, 2739, 1005, 1026, 21894, 1060, 2201, 83, 10957, 6698, 3722, 3004, 1054, 1531, 1054, 1094, 4263, 1048, 22779, 1005, 2501, 1665, 6601, 1309, 1048, 4351, 1493, 2574, 1072, 5239, 1009, 10075, 1005, 18627, 5004, 1024, 1124, 20142, 1054, 1569, 21059, 3638, 1005, 2317, 5268, 3590, 4559, 3960, 3516, 2586, 4327, 3012, 16005, 2276, 1160, 2258, 1040, 5388, 18174, 1048, 10369, 1178, 2072, 8055, 1097, 1018, 13678, 2258, 1040, 1998, 3491, 3589, 21608, 1715, 4986, 1040, 1132, 1791, 7, 6913, 1051, 1416, 37, 19567, 4809, 16092, 20, 1587, 1070, 1917, 3401, 37, 14001, 2246, 2693, 4809, 1318, 16092, 1005, 3135, 1261, 1124, 4034, 9012, 1068, 2837, 1680, 1132, 1456, 13102, 1043, 3445, 1005, 20292, 2098, 10471, 1615, 1060, 20036, 1005, 1006, 3722, 1060, 4809, 1114, 2531, 1467, 28842, 1615, 1060, 8446, 7999, 1054, 1569, 3540, 3994, 1726, 29185, 4215, 3250, 1043, 3561, 2223, 24623, 4424, 2374, 1114, 6020, 1497, 4660, 1031, 4598, 1206, 1072, 5290, 1060, 29158, 1582, 1060, 1205, 2154, 1132, 8813, 1058, 7017, 1043, 1124, 5813, 5305, 1060, 28842, 1615, 1406, 1048, 1495, 1298, 1178, 2924, 3271, 1043, 1801, 12759, 25252, 1005, 1592, 18272, 1206, 4473, 2306, 1225, 1006, 6443, 1009, 11849, 1005, 3181, 1024, 1124, 3978, 1114, 15899, 1084, 1381, 1616, 1068, 1386, 7997, 2266, 1005, 16127, 1322, 9436, 15484, 29233, 1005, 5693, 1056, 2275, 1084, 8435, 25846, 1046, 1006, 8459, 1005, 1006, 6728, 1054, 2250, 2496, 2106, 2280, 1648, 1569, 12697, 1005, 1124, 1271, 2229, 5129, 1005, 1058, 13243, 13161, 16358, 1480, 1009, 1752, 4809, 1048, 3902, 1184, 1834, 1005, 1834, 1054, 24458, 1068, 1132, 1456, 19189, 25377, 5290, 1271, 1082, 5305, 29953, 152, 1324, 1094, 6607, 1112, 1005, 1094, 6280, 1759, 1014, 4809, 1096, 4109, 1009, 9613, 10995, 1044, 1178, 6819, 1068, 8086, 1006, 1834, 1005, 1124, 6978, 1048, 1687, 22967, 1118, 1616, 1006, 1795, 13602, 1096, 1318, 1094, 6280, 20, 1084, 1616, 1096, 4445, 37, 2034, 20142, 1048, 1026, 3348, 10353, 15460, 1927, 1058, 7468, 1046, 32, 2177, 1048, 3074, 3748, 4918, 1068, 1026, 2092, 3419, 37, 13372, 1048, 3100, 1094, 3593, 4809, 27990, 6242, 1044, 2574, 1322, 1026, 3129, 1206, 1006, 6280, 1271, 3561, 1400, 3028, 6521, 1096, 1043, 3512, 1060, 26940, 10821, 2858, 2166, 6273, 23364, 1005, 5031, 2339, 1048, 6471, 1114, 17675, 3267, 28842, 1615, 1060, 8446, 7999, 1054, 14572, 19903, 15, 3021, 1461, 1060, 2330, 2731, 1118, 1048, 25905, 9234, 1132, 2250, 1271, 20142, 8057, 20322, 1049, 10821, 1271, 1082, 5305, 3904, 1009, 2729, 4248, 2271, 7976, 2567, 19163, 1009, 2739, 12697, 1124, 3680, 12990, 1261, 1235, 1531, 14617, 1072, 1561, 1096, 5858, 5695, 1072, 2277, 8184, 1009, 30345, 4789, 1044, 1531, 2127, 1096, 1493, 2512, 1068, 2252, 3230, 3561, 1400, 1309, 13122, 1048, 1026, 1531, 1271, 20142, 6105, 1178, 1664, 1132, 2250, 1049, 1901, 1533, 17421, 1124, 3680, 1826, 1403, 6063, 1006, 1795, 13602, 1054, 21669, 1060, 3560, 15213, 1026, 1048, 1006, 18526, 7596, 5816, 23126, 1040, 1044, 10474, 10492, 20, 1063, 3897, 1325, 13643, 1493, 3182, 1072, 3428, 15213, 7187, 18518, 1998, 1048, 1616, 1298, 20062, 1829, 1024, 1044, 3311, 15574, 20, 12514, 1184, 3232, 1687, 1234, 12902, 1989, 15069, 1298, 1178, 30502, 1006, 1687, 1005, 1006, 3486, 6117, 20, 2858, 1187, 3171, 1048, 1693, 10505, 1096, 1006, 3897, 5924, 1044, 2863, 1009, 6690, 3596, 20, 4115, 1318, 1026, 11607, 1009, 1048, 1006, 6117, 1298, 23518, 1043, 3473, 1210, 1104, 1029, 2275, 2013, 2512, 1048, 3592, 20142, 29990, 6772, 3716, 8, 6583, 1026, 7931, 1996, 1009, 13311, 11441, 1930, 1009, 1663, 1044, 2631, 30063, 7508, 1044, 1086, 1699, 25856, 1291, 1068, 1261, 1094, 15451, 21355, 17117, 3473, 9081, 1322, 1989, 5054, 1049, 1531, 1271, 20142, 13719, 1014, 4809, 1096, 1049, 8416, 18, 1178, 4809, 1096, 1178, 12717, 4141, 1239, 3291, 6993, 1132, 19189, 21458, 1177, 1068, 21653, 22846, 1006, 2252, 1124, 20142, 3587, 12871, 20142, 2116, 7332, 8813, 1060, 28842, 1615, 1060, 20036, 1048, 1493, 21623, 1072, 3790, 1114, 4352, 2094, 20142, 8677, 2252, 3230, 1048, 4929, 7187, 2691, 3978, 1005, 1044, 1784, 1853, 20018, 2418, 1009, 10454, 2475, 6101, 1175, 10923, 10137, 15184, 1175, 5290, 1271, 1082, 5305, 12266, 1118, 4244, 18, 7994, 1153, 79, 1726, 14248, 5402, 10620, 23079, 23501, 7319, 1930, 3233, 14283, 23084, 1149, 17672, 21200, 2428, 1142, 135, 42, 2393, 2164, 11029, 23552, 53, 5, 82, 2262, 1074, 1060, 7822, 1005, 1026, 2417, 1271, 8123, 11840, 22233, 8184, 3939, 1009, 11689, 1114, 25138, 1764, 3236, 1060, 5745, 31077, 2848, 3398, 8813, 1060, 22501, 1615, 1060, 18817, 1596, 15923, 1114, 27240, 1271, 1204, 3229, 5721, 1006, 7850, 10638, 1049, 4241, 1271, 8879, 3028, 18526, 1060, 19464, 1798, 1508, 1094, 12307, 16908, 1043, 1006, 8329, 1009, 3219, 15342, 1006, 27240, 1651, 1485, 1227, 1127, 1508, 3552, 20496, 25846, 1140, 1072, 14584, 14280, 4674, 1060, 25138, 25660, 4803, 6609, 8882, 2930, 11223, 1068, 7304, 1006, 1807, 5020, 1009, 6428, 15776, 1347, 3019, 5603, 3915, 7189, 7955, 10514, 2360, 21222, 20, 1325, 3194, 1140, 14, 14628, 29697, 1572, 10733, 17357, 1118, 4244, 18, 7994, 1153, 79, 1726, 1984, 24383, 10620, 23079, 23501, 3233, 14283, 1142, 162, 42, 19767, 31085, 1411, 22501, 1615, 1060, 6117, 3996, 16331, 2545, 18656, 19564, 2545, 1114, 28842, 1615, 1060, 20036, 23701, 2891, 1055, 32, 3512, 1049, 4036, 1467, 1103, 1787, 17187, 7054, 14439, 3013, 1060, 28842, 1615, 5, 1196, 20036, 1114, 28501, 1009, 2458, 1521, 1005, 16378, 20877, 2250, 8149, 1005, 1782, 11538, 9062, 1006, 28842, 1615, 1060, 20036, 1114, 28501, 1009, 2458, 1521, 1005, 16378, 24480, 7534, 1068, 3619, 1139, 1041, 1544, 1054, 1387, 17151, 1005, 28055, 1016, 2968, 6657, 1114, 4799, 1060, 8123, 14437, 1175, 26129, 23983, 7921, 4662, 3015, 1174, 1802, 1063, 3597, 1387, 17151, 1005, 28055, 1016, 2968, 2032, 1114, 28842, 1615, 1060, 20036, 1225, 1159, 3489, 4480, 2266, 1005, 6417, 1322, 10598, 11524, 1005, 30561, 1009, 25235, 1016, 1384, 2032, 1006, 1664, 1132, 8813, 1005, 6428, 4089, 5010, 4116, 13877, 1596, 3233, 9896, 31694, 1783, 3590, 4559, 1187, 9789, 14385, 1009, 23084, 1149, 1072, 3878, 1030, 1236, 1159, 1044, 2863, 1009, 2926, 4345, 1005, 1048, 15436, 2252, 1124, 9694, 10349, 1006, 1057, 19841, 1112, 11289, 1058, 1381, 8443, 1533, 2779, 5092, 1376, 2576, 2653, 6648, 14786, 1314, 2585, 15450, 1054, 9477, 3716, 1005, 9028, 175, 1609, 2106, 1005, 6734, 6648, 5472, 9490, 1159, 30151, 1419, 74, 3716, 1005, 2486, 1036, 2223, 8974, 1159, 1006, 13141, 1088, 1092, 2762, 1006, 23084, 1149, 3135, 1178, 16797, 1236, 1068, 11778, 1026, 26977, 1271, 7692, 24084, 1049, 12995, 1009, 5862, 32, 7692, 29763, 2812, 11072, 14171, 21117, 6690, 19941, 1365, 2089, 1533, 28842, 1615, 1060, 20036, 6303, 17751, 1124, 6428, 1006, 6912, 1024, 1456, 7180, 23417, 1118, 2191, 1271, 25235, 1016, 1384, 6657, 1005, 1006, 2111, 3890, 1419, 74, 23024, 31987, 1005, 12623, 1114, 10598, 1049 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1966, 1161, 1479, 3578, 24607, 675, 106, 4899, 2113, 1009, 2232, 24636, 1322, 1006, 10954, 1068, 11130, 8745, 675, 106, 22875, 1445, 14402, 10773, 1480, 1068, 11130, 8745, 1479, 1005, 11987, 20, 4898, 24046, 1343, 1479, 1068, 17751, 11313, 1005, 9141, 28071, 675, 106, 2430, 72, 16963, 1485, 1990, 1114, 8899, 30850, 1896, 1043, 2490, 5177, 1343, 1271, 1128, 3083, 6599, 24, 2308, 675, 106, 5459, 10984, 1118, 10700, 1009, 1858, 1005, 5061, 675, 106, 2642, 17572, 2311, 11351, 2253, 1009, 1858, 7531, 675, 106, 23010, 1006, 1011, 1316, 1421, 1610, 1018, 1005, 19291, 72, 4199, 675, 106, 1955, 3993, 1027, 6272, 675, 106, 1955, 4991, 1010, 5904, 11993, 675, 106, 12102, 2484, 17125, 675, 106, 1551, 2455, 1272, 6686, 1145, 675, 106, 3619, 7317, 26612, 9183, 675, 106, 8785, 1990, 6085, 1049, 16265, 1035, 1009, 26193, 1, 1063, 1067, 4938, 16874, 6139, 1026, 4711, 1049, 2017, 1484, 30213, 1313, 56, 62, 9621, 2041, 1048, 24201, 1006, 1224, 2618, 1009, 6286, 1043, 27621, 44, 79, 1675, 1068, 15194, 1094, 6520, 1009, 0, 1, 5344, 11019, 2985, 2576, 4634, 6211, 37, 1175, 1067, 3544, 1009, 4734, 5, 5851, 11019, 2985, 2576, 4634, 6211, 3900, 31, 2193, 4875, 1048, 1184, 1376, 14425, 5353, 1072, 7604, 1083, 1479, 4608, 15366, 1802, 14001, 5224, 2539, 8578, 1184, 11296, 3342, 1049, 29077, 1693, 17414, 1184, 5353, 1049, 1048, 1006, 13995, 25576, 11772, 7847, 1160, 1376, 14425, 1224, 14824, 1009, 1858, 3900, 8197, 7847, 1160, 1376, 14425, 1224, 14824, 1009, 1858, 37, 22293, 9637, 2364, 1132, 1779, 7847, 1048, 1160, 1376, 14425, 1224, 14824, 1009, 1858, 7, 1138, 11973, 1184, 8030, 1009, 7350, 1009, 9272, 5450, 1250, 1160, 1096, 1235, 15058, 1005, 1160, 1376, 2576, 1456, 15943, 1063, 2323, 1009, 2992, 1009, 7123, 1006, 2451, 6139, 1048, 1132, 1858, 3472, 1402, 1356, 2963, 44, 4996, 1160, 4343, 1184, 1178, 5822, 1166, 1060, 1224, 7402, 1022, 2275, 1, 28842, 1615, 1060, 20036, 1175, 25192, 1764, 3236, 1175, 60, 2787, 3047, 1175, 4284, 10980, 1175, 15422, 32, 21222, 1797, 1045, 1375, 1582, 1060, 9684, 1009, 9499, 1043, 3629, 1060, 22059, 1183, 1005, 1062, 1660, 2925, 75, 2555, 27878, 1094, 1340, 1076, 3629, 3057, 3681, 1114, 22501, 1615, 1060, 18817, 1124, 2826, 3036, 1009, 1011, 1660, 2925, 75, 1005, 1968, 22370, 1060, 25138, 1596, 20708, 1043, 5426, 3978, 1005, 1620, 1049, 1412, 6648, 1068, 6546, 6428, 20, 17058, 5399, 2123, 1081, 4401, 1318, 5857, 3371, 2457, 90, 1350, 1077, 5795, 1271, 1011, 15563, 7, 1063, 1429, 83, 1040, 1049, 3147, 1038, 2678, 1049, 1079, 2080, 1016, 1009, 1413, 2215, 7, 10119, 11161, 1006, 1664, 1048, 20952, 2998, 12266, 1118, 4244, 18, 7994, 1153, 79, 1726, 12715, 3989, 10620, 23079, 23501, 3233, 14283, 16908, 1060, 5297, 22501, 1615, 1060, 18817, 31701, 1970, 17438, 1400, 2079, 24261, 1594, 1269, 1797, 5071, 4517, 4503, 8562, 10473, 9128, 4326, 27952, 4824, 1084, 1207, 16331, 2545, 18656, 19564, 2545, 1576, 10471, 1615, 1060, 20036, 18483, 1009, 21434, 1049, 2709, 31327, 1779, 3606, 5795, 1059, 1404, 1009, 3113, 1726, 14098, 8037, 9469, 21434, 1049, 7247, 2293, 3279, 1049, 2709, 9469, 5, 0, 980, 675, 0, 980, 675, 0, 980, 21896, 4517, 4503, 8562, 10473, 9128, 4326, 27952, 4824, 1084, 1207, 16331, 2545, 18656, 19564, 2545, 1467, 28842, 1615, 1060, 20036, 1060, 18483, 1009, 21434, 1049, 7247, 7062, 3332, 1236, 1294, 2250, 3186, 1005, 3295, 1009, 12020, 1068, 1006, 6477, 1060, 3619, 1139, 3155, 1068, 1387, 17151, 1005, 28055, 1016, 2968, 19776, 1138, 5317, 1195, 4949, 1072, 4316, 1119, 22944, 1577, 1009, 28842, 1615, 1005, 7312, 1043, 8813, 1009, 4306, 21863, 1060, 24660, 3482, 1193, 9081, 1060, 3233, 1041, 3013, 18805, 1685, 2968, 1165, 18162, 1187, 11815, 1132, 8813, 23866, 5758, 1184, 1322, 1006, 7461, 1009, 22262, 1273, 2742, 1010, 1005, 1305, 4837, 1043, 1026, 14593, 1009, 30009, 1094, 10598, 1184, 11524, 1005, 11997, 1054, 13062, 7278, 2913, 30697, 30364, 1365, 2089, 15623, 1966, 1012, 6039, 4146, 1068, 1026, 2631, 3090, 1009, 5426, 17443, 1347, 1005, 21642, 3423, 2668, 1558, 2923, 1060, 4493, 1009, 1048, 2252, 1124, 6428, 18643, 1040, 1569, 3229, 1384, 6657, 1043, 1356, 16833, 2125, 5715, 1009, 25235, 13924, 1854, 1533, 6280, 1009, 1752, 5548, 3233, 5780, 6071, 4845, 1679, 1456, 6466, 1229, 1005, 15209, 1024, 1026, 4318, 9270, 2647, 3233, 3958, 1124, 4810, 1064, 2543, 4846, 1063, 21222, 7412, 1178, 5191, 1566, 3057, 3681, 1009, 12673, 8580, 1435, 1026, 19823, 1009, 3229, 29182, 3613, 1566, 19443, 1357, 2093, 2404, 1060, 28842, 1615, 1060, 20036, 1533, 2632, 18849, 2350, 5795, 3019, 3044, 13131, 2011, 7, 12266, 1118, 4244, 18, 7994, 1153, 79, 1726, 10535, 32, 3459, 10620, 23079, 23501, 3233, 14283, 1770, 1599, 1884, 2262, 2536, 2081, 25235, 1273, 8582, 5640, 4181, 12722, 2250, 2768, 1046, 1094, 1834, 1797, 2520, 1337, 25662, 7846, 15722, 1041, 4547, 1082, 1921, 1055, 2332, 1146, 8194, 1005, 18646, 1112, 16571, 72, 21424, 1327, 1132, 1422, 3328, 13636, 1068, 10541, 1800, 1159, 1005, 1054, 2306, 4375, 1006, 19331, 5737, 4285, 7151, 1005, 17325, 1298, 11289, 1094, 6697, 11524, 1005, 20732, 1006, 2926, 1068, 1026, 8330, 1060, 1834, 17357, 1118, 4244, 18, 7994, 1153, 79, 1726, 10535, 32, 4990, 10620, 23079, 23501, 12722, 7872, 3233, 14283, 1770, 1599, 29853, 30151, 1910, 2250, 1940, 5742, 9881, 3270, 19074, 1175, 28842, 1615, 1060, 20036, 4895, 57, 1014, 4809, 1096, 6727, 5294, 1072, 30688, 2100, 7672, 1566, 1160, 31380, 1079, 1989, 1004, 4039, 4114, 37, 16172, 1087, 1870, 3449, 2637, 2072, 15574, 20, 5011, 1213, 9735, 1068, 1513, 1100, 3449, 2637, 2072, 10492, 20, 2800, 1572, 4598, 2122, 19131, 16268, 1346, 1294, 2250, 9227, 1054, 1048, 1124, 20142, 4224, 1040, 4306, 11409, 1213, 1592, 1557, 32, 3561, 1400, 3181, 1069, 4525, 20842, 4525, 4141, 6657, 30781, 1049, 9709, 1009, 2573, 1005, 3897, 37, 6174, 19517, 1327, 2739, 1005, 1026, 21894, 1060, 2201, 83, 10957, 6698, 3722, 3004, 1054, 1531, 1054, 1094, 4263, 1048, 22779, 1005, 2501, 1665, 6601, 1309, 1048, 4351, 1493, 2574, 1072, 5239, 1009, 10075, 1005, 18627, 5004, 1024, 1124, 20142, 1054, 1569, 21059, 3638, 1005, 2317, 5268, 3590, 4559, 3960, 3516, 2586, 4327, 3012, 16005, 2276, 1160, 2258, 1040, 5388, 18174, 1048, 10369, 1178, 2072, 8055, 1097, 1018, 13678, 2258, 1040, 1998, 3491, 3589, 21608, 1715, 4986, 1040, 1132, 1791, 7, 6913, 1051, 1416, 37, 19567, 4809, 16092, 20, 1587, 1070, 1917, 3401, 37, 14001, 2246, 2693, 4809, 1318, 16092, 1005, 3135, 1261, 1124, 4034, 9012, 1068, 2837, 1680, 1132, 1456, 13102, 1043, 3445, 1005, 20292, 2098, 10471, 1615, 1060, 20036, 1005, 1006, 3722, 1060, 4809, 1114, 2531, 1467, 28842, 1615, 1060, 8446, 7999, 1054, 1569, 3540, 3994, 1726, 29185, 4215, 3250, 1043, 3561, 2223, 24623, 4424, 2374, 1114, 6020, 1497, 4660, 1031, 4598, 1206, 1072, 5290, 1060, 29158, 1582, 1060, 1205, 2154, 1132, 8813, 1058, 7017, 1043, 1124, 5813, 5305, 1060, 28842, 1615, 1406, 1048, 1495, 1298, 1178, 2924, 3271, 1043, 1801, 12759, 25252, 1005, 1592, 18272, 1206, 4473, 2306, 1225, 1006, 6443, 1009, 11849, 1005, 3181, 1024, 1124, 3978, 1114, 15899, 1084, 1381, 1616, 1068, 1386, 7997, 2266, 1005, 16127, 1322, 9436, 15484, 29233, 1005, 5693, 1056, 2275, 1084, 8435, 25846, 1046, 1006, 8459, 1005, 1006, 6728, 1054, 2250, 2496, 2106, 2280, 1648, 1569, 12697, 1005, 1124, 1271, 2229, 5129, 1005, 1058, 13243, 13161, 16358, 1480, 1009, 1752, 4809, 1048, 3902, 1184, 1834, 1005, 1834, 1054, 24458, 1068, 1132, 1456, 19189, 25377, 5290, 1271, 1082, 5305, 29953, 152, 1324, 1094, 6607, 1112, 1005, 1094, 6280, 1759, 1014, 4809, 1096, 4109, 1009, 9613, 10995, 1044, 1178, 6819, 1068, 8086, 1006, 1834, 1005, 1124, 6978, 1048, 1687, 22967, 1118, 1616, 1006, 1795, 13602, 1096, 1318, 1094, 6280, 20, 1084, 1616, 1096, 4445, 37, 2034, 20142, 1048, 1026, 3348, 10353, 15460, 1927, 1058, 7468, 1046, 32, 2177, 1048, 3074, 3748, 4918, 1068, 1026, 2092, 3419, 37, 13372, 1048, 3100, 1094, 3593, 4809, 27990, 6242, 1044, 2574, 1322, 1026, 3129, 1206, 1006, 6280, 1271, 3561, 1400, 3028, 6521, 1096, 1043, 3512, 1060, 26940, 10821, 2858, 2166, 6273, 23364, 1005, 5031, 2339, 1048, 6471, 1114, 17675, 3267, 28842, 1615, 1060, 8446, 7999, 1054, 14572, 19903, 15, 3021, 1461, 1060, 2330, 2731, 1118, 1048, 25905, 9234, 1132, 2250, 1271, 20142, 8057, 20322, 1049, 10821, 1271, 1082, 5305, 3904, 1009, 2729, 4248, 2271, 7976, 2567, 19163, 1009, 2739, 12697, 1124, 3680, 12990, 1261, 1235, 1531, 14617, 1072, 1561, 1096, 5858, 5695, 1072, 2277, 8184, 1009, 30345, 4789, 1044, 1531, 2127, 1096, 1493, 2512, 1068, 2252, 3230, 3561, 1400, 1309, 13122, 1048, 1026, 1531, 1271, 20142, 6105, 1178, 1664, 1132, 2250, 1049, 1901, 1533, 17421, 1124, 3680, 1826, 1403, 6063, 1006, 1795, 13602, 1054, 21669, 1060, 3560, 15213, 1026, 1048, 1006, 18526, 7596, 5816, 23126, 1040, 1044, 10474, 10492, 20, 1063, 3897, 1325, 13643, 1493, 3182, 1072, 3428, 15213, 7187, 18518, 1998, 1048, 1616, 1298, 20062, 1829, 1024, 1044, 3311, 15574, 20, 12514, 1184, 3232, 1687, 1234, 12902, 1989, 15069, 1298, 1178, 30502, 1006, 1687, 1005, 1006, 3486, 6117, 20, 2858, 1187, 3171, 1048, 1693, 10505, 1096, 1006, 3897, 5924, 1044, 2863, 1009, 6690, 3596, 20, 4115, 1318, 1026, 11607, 1009, 1048, 1006, 6117, 1298, 23518, 1043, 3473, 1210, 1104, 1029, 2275, 2013, 2512, 1048, 3592, 20142, 29990, 6772, 3716, 8, 6583, 1026, 7931, 1996, 1009, 13311, 11441, 1930, 1009, 1663, 1044, 2631, 30063, 7508, 1044, 1086, 1699, 25856, 1291, 1068, 1261, 1094, 15451, 21355, 17117, 3473, 9081, 1322, 1989, 5054, 1049, 1531, 1271, 20142, 13719, 1014, 4809, 1096, 1049, 8416, 18, 1178, 4809, 1096, 1178, 12717, 4141, 1239, 3291, 6993, 1132, 19189, 21458, 1177, 1068, 21653, 22846, 1006, 2252, 1124, 20142, 3587, 12871, 20142, 2116, 7332, 8813, 1060, 28842, 1615, 1060, 20036, 1048, 1493, 21623, 1072, 3790, 1114, 4352, 2094, 20142, 8677, 2252, 3230, 1048, 4929, 7187, 2691, 3978, 1005, 1044, 1784, 1853, 20018, 2418, 1009, 10454, 2475, 6101, 1175, 10923, 10137, 15184, 1175, 5290, 1271, 1082, 5305, 12266, 1118, 4244, 18, 7994, 1153, 79, 1726, 14248, 5402, 10620, 23079, 23501, 7319, 1930, 3233, 14283, 23084, 1149, 17672, 21200, 2428, 1142, 135, 42, 2393, 2164, 11029, 23552, 53, 5, 82, 2262, 1074, 1060, 7822, 1005, 1026, 2417, 1271, 8123, 11840, 22233, 8184, 3939, 1009, 11689, 1114, 25138, 1764, 3236, 1060, 5745, 31077, 2848, 3398, 8813, 1060, 22501, 1615, 1060, 18817, 1596, 15923, 1114, 27240, 1271, 1204, 3229, 5721, 1006, 7850, 10638, 1049, 4241, 1271, 8879, 3028, 18526, 1060, 19464, 1798, 1508, 1094, 12307, 16908, 1043, 1006, 8329, 1009, 3219, 15342, 1006, 27240, 1651, 1485, 1227, 1127, 1508, 3552, 20496, 25846, 1140, 1072, 14584, 14280, 4674, 1060, 25138, 25660, 4803, 6609, 8882, 2930, 11223, 1068, 7304, 1006, 1807, 5020, 1009, 6428, 15776, 1347, 3019, 5603, 3915, 7189, 7955, 10514, 2360, 21222, 20, 1325, 3194, 1140, 14, 14628, 29697, 1572, 10733, 17357, 1118, 4244, 18, 7994, 1153, 79, 1726, 1984, 24383, 10620, 23079, 23501, 3233, 14283, 1142, 162, 42, 19767, 31085, 1411, 22501, 1615, 1060, 6117, 3996, 16331, 2545, 18656, 19564, 2545, 1114, 28842, 1615, 1060, 20036, 23701, 2891, 1055, 32, 3512, 1049, 4036, 1467, 1103, 1787, 17187, 7054, 14439, 3013, 1060, 28842, 1615, 5, 1196, 20036, 1114, 28501, 1009, 2458, 1521, 1005, 16378, 20877, 2250, 8149, 1005, 1782, 11538, 9062, 1006, 28842, 1615, 1060, 20036, 1114, 28501, 1009, 2458, 1521, 1005, 16378, 24480, 7534, 1068, 3619, 1139, 1041, 1544, 1054, 1387, 17151, 1005, 28055, 1016, 2968, 6657, 1114, 4799, 1060, 8123, 14437, 1175, 26129, 23983, 7921, 4662, 3015, 1174, 1802, 1063, 3597, 1387, 17151, 1005, 28055, 1016, 2968, 2032, 1114, 28842, 1615, 1060, 20036, 1225, 1159, 3489, 4480, 2266, 1005, 6417, 1322, 10598, 11524, 1005, 30561, 1009, 25235, 1016, 1384, 2032, 1006, 1664, 1132, 8813, 1005, 6428, 4089, 5010, 4116, 13877, 1596, 3233, 9896, 31694, 1783, 3590, 4559, 1187, 9789, 14385, 1009, 23084, 1149, 1072, 3878, 1030, 1236, 1159, 1044, 2863, 1009, 2926, 4345, 1005, 1048, 15436, 2252, 1124, 9694, 10349, 1006, 1057, 19841, 1112, 11289, 1058, 1381, 8443, 1533, 2779, 5092, 1376, 2576, 2653, 6648, 14786, 1314, 2585, 15450, 1054, 9477, 3716, 1005, 9028, 175, 1609, 2106, 1005, 6734, 6648, 5472, 9490, 1159, 30151, 1419, 74, 3716, 1005, 2486, 1036, 2223, 8974, 1159, 1006, 13141, 1088, 1092, 2762, 1006, 23084, 1149, 3135, 1178, 16797, 1236, 1068, 11778, 1026, 26977, 1271, 7692, 24084, 1049, 12995, 1009, 5862, 32, 7692, 29763, 2812, 11072, 14171, 21117, 6690, 19941, 1365, 2089, 1533, 28842, 1615, 1060, 20036, 6303, 17751, 1124, 6428, 1006, 6912, 1024, 1456, 7180, 23417, 1118, 2191, 1271, 25235, 1016, 1384, 6657, 1005, 1006, 2111, 3890, 1419, 74, 23024, 31987, 1005, 12623, 1114, 10598, 1049 ]

[ 89, 1005, 15891, 1124, 20072, 2301, 1124, 6264, 1060, 7571, 20, 6062, 7137, 1096, 1044, 2550, 26082, 3004, 1006, 1168, 79, 1096, 4661, 1054, 6300, 11103, 1005, 1026, 5105, 13797, 2237, 1054, 1050, 30598, 14336, 1068, 4768, 1217, 20, 29259, 38, 29259, 7029, 2021, 2585, 5628, 1184, 3751, 2223, 1063, 5576, 1096, 1068, 10203, 1094, 1751, 1049, 2743, 1005, 11186, 1005, 6622, 1118, 9282, 4685, 18, 2449, 1006, 4169, 1009, 10203, 1118, 3907, 6731, 1715, 54, 2836, 5265, 1702, 10527, 1009, 3603, 1068, 8383, 1026, 7137, 1049, 1168, 81, 1009, 1752, 1044, 1187, 1307, 3805, 14325, 25577, 1493, 7296, 1058, 1989, 11973, 7211, 2220, 1026, 1880, 14242, 1068, 1178, 6342, 1114, 7091, 22283, 1049, 4002, 16909, 1068, 1622, 8347, 1114, 16793, 20900, 1005, 1734, 1048, 9480, 4002, 3546, 20, 27384, 32, 1156, 4208, 1171, 1210, 4002, 11973, 15191, 25353, 2798, 2448, 8510, 8532, 1128, 92, 20900, 6029, 1133, 4513, 1124, 2020, 2057, 1124, 27668, 29875, 20, 2045, 8510, 4208, 27374, 2604, 6732, 8852, 3351, 12496, 2604, 2186, 1008, 27354, 1156, 1173, 31858, 1171, 2604, 9023, 18975, 20, 2034, 4299, 84, 1098, 2186, 1008, 27354, 2186, 12658, 10430, 4208, 27374, 2604, 24008, 1307, 1080, 5873, 1678, 2020, 10243, 2186, 11908, 2064, 1219, 1210, 95, 1080, 5873, 2159, 2186, 11973, 8982, 89, 1006, 25552, 1339, 1168, 81, 8532, 2703, 2123, 1179, 1253, 2186, 12658, 1742, 3022, 2159, 3286, 1051, 2186, 11973, 6957, 1031, 17494, 30435, 89, 2186, 8982, 1171, 1168, 13891, 1084, 2450, 1080, 5873, 2821, 89, 1006, 1591, 5997, 1012, 1168, 4041, 2186, 12658, 10430, 9235, 7172, 4208, 27374, 2604, 24008, 31761, 4384, 1715, 1, 4572, 22510, 15540, 1060, 11918, 1049, 2293, 1009, 20328, 22816, 1049, 1531, 1175, 2224, 31979, 20, 4161, 1071, 6188, 4662, 23, 2541, 8534, 5552, 4033, 4248, 1083, 4502, 1167, 1044, 6276, 1054, 3217, 150, 1060, 4523, 3951, 2275, 1063, 4809, 1009, 5412, 1836, 3863, 20, 1101, 17665, 5412, 1005, 1456, 30890, 5588, 2281, 11988, 1068, 1026, 6276, 20, 1307, 2267, 1026, 12896, 5857, 1006, 1558, 90, 1930, 1006, 4809, 1009, 5412, 3684, 8583, 3807, 1723, 1160, 2643, 1184, 12896, 2100, 1422, 48, 1018, 1093, 9410, 6256, 32, 4049, 1075, 11494, 1118, 1048, 1919, 1018, 5639, 1006, 4982, 37, 11329, 3907, 1620, 1160, 4064, 2100, 1487, 21876, 4809, 1973, 1679, 1048, 3586, 18984, 32, 5707, 1270, 1089, 1026, 1048, 1264, 16179, 1277, 3950, 7, 2100, 1675, 6107, 2241, 4234, 1030, 7238, 1009, 8344, 23014, 5948, 1068, 1006, 30067, 1112, 1048, 1132, 14446, 16944, 21932, 1482, 1752, 1094, 8545, 2258, 1648, 1184, 1206, 2444, 18520, 3278, 12900, 1779, 48, 1018, 1093, 1973, 1679, 1048, 3586, 18984, 32, 3807, 13885, 1089, 1124, 1030, 7238, 1009, 3111, 7, 2100, 7729, 78, 1975, 4328, 1016, 1495, 1006, 13483, 1377, 1799, 48, 1018, 1093, 8583, 2951, 9367, 7930, 79, 1005, 1756, 1214, 1213, 8349, 3498, 3691, 7, 2100, 1084, 1857, 11519, 20, 1844, 53, 8349, 3498, 3691, 30093, 1006, 3111, 1048, 1058, 2257, 23045, 1054, 12896, 20, 2200, 1160, 3855, 1009, 1571, 1050, 6284, 1309, 1132, 1048, 3586, 18984, 21323, 18, 2340, 2829, 1857, 1048, 5588, 7930, 1136, 1006, 11950, 1782, 53, 8349, 3498, 3691, 7600, 2276, 1026, 1072, 1343, 1005, 3684, 8583, 3598, 1902, 1784, 8935, 1831, 1026, 12896, 1853, 2170, 1511, 1132, 11988, 1566, 1826, 2411, 1199, 77, 2585, 8935, 1026, 12896, 2444, 30252, 2605, 12931, 7887, 14431, 1026, 12896, 2631, 1495, 2364, 11021, 2475, 19016, 1195, 1026, 2738, 1187, 7880, 1009, 5412, 20, 2200, 1026, 9009, 1054, 3217, 150, 1060, 4523, 3951, 1034, 1005, 14857, 1079, 1006, 1224, 16900, 18, 1005, 1456, 30890, 5082, 1202, 10807, 20, 1, 14912, 1384, 2609, 1239, 1175, 31150, 3104, 18, 25724, 1005, 12173, 14873, 5161, 12779, 1009, 6276, 11408, 3382, 28183, 3378, 8523, 8734, 1009, 5341, 1100, 21936, 1005, 7383, 5330, 2552, 1497, 4807, 1068, 1224, 2042, 1009, 26479, 2013, 1992, 1048, 22832, 1752, 12779, 1187, 21204, 1048, 1323, 5482, 1040, 1068, 17653, 1026, 1807, 1531, 10599, 1566, 13145, 1068, 6141, 1048, 1006, 12779, 1009, 6276, 1096, 1026, 2803, 1054, 1048, 1026, 3152, 1009, 1664, 1132, 6660, 8362, 1975, 1213, 1592, 1557, 1005, 1048, 1006, 11796, 1325, 1006, 8720, 1060, 5913, 37, 1084, 1118, 1616, 1026, 1235, 1807, 1531, 16092, 1094, 12779, 24229, 1519, 3900, 24539, 4876, 1226, 2422, 2789, 7260, 1206, 14912, 1384, 2609, 1239, 1096, 5958, 18, 13469, 14424, 1005, 1201, 3013, 1009, 1630, 25286, 17120, 1079, 1114, 2236, 1009, 26374, 1094, 2360, 2596, 1009, 8298, 1024, 1124, 1783, 1043, 1124, 1569, 22951, 2328, 1060, 12779, 1009, 6276, 20, 11752, 1026, 7051, 2751, 1096, 1006, 2042, 1009, 1752, 1384, 3424, 6751, 1687, 6787, 10841, 1930, 27983, 1005, 2232, 8193, 1006, 1664, 1132, 31502, 2340, 2306, 1160, 6868, 1006, 2042, 5544, 1601, 1870, 2306, 6868, 2155, 22991, 1439, 3994, 1043, 1026, 8270, 1006, 14025, 1048, 1132, 1071, 18200, 4715, 1495, 6185, 1531, 3590, 2840, 17127, 1752, 12779, 1096, 6216, 4807, 1068, 1752, 1384, 3424, 10620, 3407, 1096, 5580, 1213, 18734, 3720, 8755, 1048, 1752, 6276, 1096, 3872, 1005, 14617, 1005, 1118, 3005, 16092, 1094, 12779, 4661, 1006, 4786, 1005, 2381, 1140, 1043, 1493, 15890, 1005, 3445, 1068, 1132, 21, 1016, 25757, 8152, 18074, 18935, 4524, 1043, 26374, 1096, 4524, 1043, 1026, 8449, 1271, 1783, 1005, 1752, 6477, 1009, 8449, 3244, 1261, 1664, 1132, 4972, 2381, 1330, 1010, 1043, 1493, 15890, 1704, 17746, 3104, 1322, 14912, 1384, 2609, 1239, 5, 1046, 1056, 1037, 1377, 89, 1145, 1759, 7393, 13777, 8327, 17889, 1009, 6276, 3118, 168, 2359, 1016, 1005, 1373, 2628, 1438, 20, 1633, 3165, 1048, 1006, 2348, 12779, 4219, 3630, 1962, 3230, 1005, 1068, 3794, 14805, 1229, 1005, 1160, 3012, 1261, 3330, 1094, 5342, 16015, 1063, 14912, 18853, 31779, 1006, 12779, 1043, 18139, 18, 2631, 10225, 1005, 7743, 2112, 7, 1063, 1853, 12779, 1048, 1566, 8717, 1195, 1006, 2348, 2856, 42, 1759, 7393, 1048, 10029, 2092, 2403, 1009, 20663, 1006, 12779, 1096, 1094, 1271, 5220, 5314, 3653, 1907, 1533, 14912, 1225, 1094, 3894, 10009, 1005, 1006, 6016, 1034, 1910, 2624, 5848, 92, 9188, 5764, 20, 71, 1730, 1529, 8422, 28823, 1261, 10921, 1094, 3271, 1853, 1068, 8748, 1044, 2803, 2072, 2127, 1159, 1006, 3028, 12779, 1467, 14912, 1195, 1009, 1094, 18139, 9940, 1114, 3907, 1009, 6141, 1072, 15599, 1058, 1173, 11744, 1006, 1752, 16590, 1060, 3028, 2042, 1005, 1294, 7455, 29203, 1049, 8368, 1213, 2822, 5, 18896, 13322, 10376, 6170, 1352, 1096, 1094, 3467, 1493, 19304, 1005, 1048, 4713, 10927, 3028, 12779, 1009, 1044, 10882, 1634, 3247, 1408, 1519, 17218, 1225, 1094, 7232, 1019, 2563, 1005, 10882, 1043, 1124, 2880, 1048, 15792, 2073, 1044, 10841, 1069, 9346, 3583, 1114, 8300, 1049, 5453, 1068, 22744, 1006, 3164, 1005, 1026, 10711, 1298, 1178, 27716, 1069, 1495, 1094, 3757, 1996, 1049, 6276, 4355, 1127, 6110, 15845, 1054, 2951, 3374, 1009, 6242, 5025, 1406, 18, 4221, 3420, 1094, 12779, 15258, 1068, 1752, 31693, 6717, 1135, 1043, 1857, 11449, 14865, 1044, 7468, 1304, 8828, 1068, 1752, 17394, 2589, 1066, 2862, 1161, 1463, 29226, 4533, 1005, 4106, 1048, 1857, 9344, 1048, 3699, 5984, 25218, 1072, 8484, 1009, 1752, 8270, 1068, 5115, 10203, 1006, 13875, 21088, 1, 1138, 2956, 1005, 1124, 1588, 983, 73, 1242, 1015, 15604, 18983, 1573, 1005, 1225, 1094, 12831, 1184, 3746, 1893, 19368, 20140, 1865, 1814, 30512, 1915, 5304, 8465, 3162, 23, 9395, 1138, 3124, 1009, 1006, 3364, 1187, 16135, 4207, 15347, 20140, 1048, 15283, 1006, 1755, 84, 983, 71, 1072, 1028, 983, 83, 1471, 1009, 5592, 6060, 1554, 8465, 2023, 28, 9395, 1063, 3746, 983, 1217, 15436, 1132, 16135, 1009, 2596, 17477, 1138, 3435, 20140, 26821, 983, 1217, 1206, 1869, 6372, 1149, 1187, 15347, 8465, 2023, 25, 9395, 7049, 18147, 1144, 983, 73, 12828, 8305, 43, 2162, 1035, 4314, 1405, 1797, 85, 4462, 1112, 1009, 1144, 5860, 12828, 1005, 5019, 5464, 1605, 1048, 1327, 1132, 1144, 5860, 12828, 1009, 12848, 1060, 8305, 43, 2162, 1035, 37, 7731, 1026, 1831, 2803, 1060, 3649, 1060, 8305, 43, 2162, 2586, 3675, 2315, 1006, 4716, 1009, 31807, 1044, 6502, 1184, 14228, 1009, 19078, 1108, 1554, 2494, 8305, 43, 2162, 1035, 8897, 13007, 1774, 1105, 1130, 2539, 4267, 1009, 19078, 1108, 1554, 1138, 4677, 89, 1810, 18482, 6785, 1223, 23879, 2177, 1044, 21088, 31869, 24538, 1132, 4440, 1009, 26539, 1573, 1005, 26255, 1048, 1666, 3890, 1054, 4320, 27622, 5494, 1159, 15484, 18679, 9180, 1206, 2073, 2236, 22601, 1206, 16406, 11955, 1184, 1054, 2930, 13407, 1072, 4941, 29862, 4038, 1508, 2100, 1063, 1431, 75, 2162, 2586, 1159, 1026, 3266, 1720, 31604, 1096, 1094, 4630, 1009, 1144, 5860, 1108, 1554, 11203, 24538, 1826, 29767, 1072, 5019, 5464, 1060, 1431, 75, 2162, 16540, 1505, 26930, 1132, 24538, 18252, 1006, 4188, 1049, 4241, 20, 8071, 1209, 1009, 30610, 1009, 1144, 5860, 12828, 13067, 1250, 1132, 16847, 1009, 17675, 1009, 3794, 24538, 2755, 7941, 13964, 18720, 4424, 1679, 4802, 2585, 1726, 1782, 3229, 1060, 16451, 1054, 2930, 26987, 5960, 4228, 2634, 2642, 1078, 5823, 2182, 2525, 22624, 1205, 3382, 3867, 1049, 28976, 15148, 11316, 3254, 169, 2376, 78, 2077, 11235, 175, 1479, 3867, 1233, 4338, 1009, 31170, 1565, 5019, 5464, 1060, 8305, 43, 2162, 1035, 1138, 5019, 5464, 7412, 1058, 13275, 1213, 1852, 1009, 1752, 1305, 26198, 1054, 3164, 1006, 1178, 19970, 1043, 16126, 16160, 10934, 11230, 1027, 1178, 10300, 1140, 12100, 27632, 2012, 1006, 2073, 5847, 9803, 1124, 14075, 1005, 6106, 1049, 4241, 20, 1138, 5019, 5464, 1060, 8305, 43, 2162, 1035, 2663, 21698, 15, 11897, 1009, 2596, 15655, 1124, 17634, 1005, 16127, 10582, 1322, 1006, 13507, 1054, 1048, 1026, 4677, 89, 3342, 6930, 11263, 1060, 8305, 43, 2162, 1035, 3634, 1058, 3168, 2459, 1138, 3407, 4352, 71, 3360, 1026, 8542, 1187, 14629, 3342, 11041, 2950, 1006, 6222, 1009, 1335, 1554, 9520, 32, 11906, 2854, 71, 1028, 0, 1083, 1479, 4677, 89, 3342, 1060, 8305, 43, 2162, 1035, 4314, 1405, 7811, 4335, 1009, 8605, 1009, 1144, 5860, 12828, 1009, 12848, 1071, 12955, 1009, 1144, 5860, 12828, 15, 1063, 13507, 12533, 2860, 1009, 8542, 1060, 1431, 75, 2162, 1035, 1058, 17785, 1006, 2323, 1187, 4306, 31220, 1009, 8605, 14, 45, 58, 3490, 1565, 1138, 2751, 4313, 1096, 1026, 12955, 1009, 1144, 5860, 1108, 1554, 6062, 12955, 2177, 19427, 1009, 1044, 2417, 1009, 1783, 1048, 1058, 17508, 1006, 14126, 3140, 15625, 1679, 19078, 1108, 1554, 1138, 12955, 2177, 1026, 3311, 1009, 5231, 1187, 24538, 1060, 1431, 75, 2162, 1035, 1068, 1124, 8823, 1049, 1531, 1006, 10987, 13372, 1264, 1048, 5589, 1945, 1132, 5278, 1009, 3603, 17754, 4547, 3361, 1945, 31189, 4089, 1945, 1026, 4818, 1005, 1006, 7689, 1187, 19078, 1108, 1229, 10760, 150, 1054, 2252, 1124, 16721, 1005, 6106, 1005, 5589, 1945, 1006, 6222, 1009, 3398, 19078, 1108, 1554, 7731, 1566, 18, 1668, 12955, 1325, 15359, 1068, 16310, 2048, 3794, 24538, 1005, 16310, 2048, 2252, 1124, 4759, 7823, 1, 24030, 1842, 1005, 1941, 13326, 22239, 1322, 1124, 21925, 20095, 4993, 1479, 28244, 52, 1519, 1576, 1816, 21045, 1842, 1005, 1941, 13326, 22239, 1322, 1124, 21925, 20095, 4993, 6174, 21925, 5334, 4993, 1009, 24030, 1327, 1094, 6386, 1005, 1006, 15775, 9923, 2350, 4601, 3019, 2017, 12294, 2328, 1009, 1044, 22239, 5613, 21925, 5334, 4993, 4343, 2593, 5262, 1657, 1068, 2088, 24030, 1005, 2177, 3654, 2808, 12923, 6880, 1068, 1752, 1044, 1187, 24030, 1048, 1693, 28142, 1964, 1006, 1668, 1499, 1667, 2034, 12923, 4343, 2593, 29383, 1356, 1784, 1009, 1344, 15156, 5613, 21925, 5334, 4993, 4343, 1261, 2269, 1657, 1890, 1026, 6942, 1005, 1986, 1026, 1852, 1049, 9027, 1026, 24030, 2922, 1213, 1235, 12294, 3388, 18566, 1620, 16691, 1048, 12413, 1044, 3756, 1009, 15823, 1048, 4145, 2490, 1213, 31316, 152, 7511, 1571, 3798, 1046, 1006, 16179, 2986, 5138, 1068, 5587, 1184, 16647, 5653, 6781, 1006, 5548, 1009, 14207, 17531, 1344, 2641, 1342, 1195, 1318, 22544, 1159, 1094, 1271, 3145, 11699, 9230, 1043, 1006, 21925, 8172, 11492, 24030, 1842, 1005, 24030, 1941, 11452, 12768, 1006, 2224, 1009, 3422, 10777, 2177, 1318, 3941, 1356, 2380, 28495, 1044, 6642, 1358, 1031, 1048, 2155, 7243, 1006, 8344, 1068, 1006, 1224, 21925, 20095, 2113, 3812, 20071, 12808, 57, 77, 2192, 2019, 1956, 83, 6482, 1162, 81, 23039, 84, 1474, 8353, 1252, 11834, 1162, 81, 23039, 1162, 81, 23039, 2311, 1162, 81, 23039, 3504, 88, 11269, 1759, 1441, 1153, 1250, 5956, 1048, 1516, 1448, 1093, 1599, 29681, 2020, 90, 22440, 1160, 4540, 6534, 1026, 8939, 1118, 9282, 1533, 12025, 44, 1013, 1956, 18, 1006, 2092, 15871, 2572, 1048, 1668, 2666, 2374, 1026, 2666, 1184, 31722, 1060, 2700, 13840, 1040, 9513, 1084, 1826, 1006, 5597, 18662, 1026, 2666, 1006, 4101, 9990, 1554, 8384, 12720, 1048, 5639, 2289, 3241, 2281, 1680, 31745, 1383, 1058 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 89, 1005, 15891, 1124, 20072, 2301, 1124, 6264, 1060, 7571, 20, 6062, 7137, 1096, 1044, 2550, 26082, 3004, 1006, 1168, 79, 1096, 4661, 1054, 6300, 11103, 1005, 1026, 5105, 13797, 2237, 1054, 1050, 30598, 14336, 1068, 4768, 1217, 20, 29259, 38, 29259, 7029, 2021, 2585, 5628, 1184, 3751, 2223, 1063, 5576, 1096, 1068, 10203, 1094, 1751, 1049, 2743, 1005, 11186, 1005, 6622, 1118, 9282, 4685, 18, 2449, 1006, 4169, 1009, 10203, 1118, 3907, 6731, 1715, 54, 2836, 5265, 1702, 10527, 1009, 3603, 1068, 8383, 1026, 7137, 1049, 1168, 81, 1009, 1752, 1044, 1187, 1307, 3805, 14325, 25577, 1493, 7296, 1058, 1989, 11973, 7211, 2220, 1026, 1880, 14242, 1068, 1178, 6342, 1114, 7091, 22283, 1049, 4002, 16909, 1068, 1622, 8347, 1114, 16793, 20900, 1005, 1734, 1048, 9480, 4002, 3546, 20, 27384, 32, 1156, 4208, 1171, 1210, 4002, 11973, 15191, 25353, 2798, 2448, 8510, 8532, 1128, 92, 20900, 6029, 1133, 4513, 1124, 2020, 2057, 1124, 27668, 29875, 20, 2045, 8510, 4208, 27374, 2604, 6732, 8852, 3351, 12496, 2604, 2186, 1008, 27354, 1156, 1173, 31858, 1171, 2604, 9023, 18975, 20, 2034, 4299, 84, 1098, 2186, 1008, 27354, 2186, 12658, 10430, 4208, 27374, 2604, 24008, 1307, 1080, 5873, 1678, 2020, 10243, 2186, 11908, 2064, 1219, 1210, 95, 1080, 5873, 2159, 2186, 11973, 8982, 89, 1006, 25552, 1339, 1168, 81, 8532, 2703, 2123, 1179, 1253, 2186, 12658, 1742, 3022, 2159, 3286, 1051, 2186, 11973, 6957, 1031, 17494, 30435, 89, 2186, 8982, 1171, 1168, 13891, 1084, 2450, 1080, 5873, 2821, 89, 1006, 1591, 5997, 1012, 1168, 4041, 2186, 12658, 10430, 9235, 7172, 4208, 27374, 2604, 24008, 31761, 4384, 1715, 1, 4572, 22510, 15540, 1060, 11918, 1049, 2293, 1009, 20328, 22816, 1049, 1531, 1175, 2224, 31979, 20, 4161, 1071, 6188, 4662, 23, 2541, 8534, 5552, 4033, 4248, 1083, 4502, 1167, 1044, 6276, 1054, 3217, 150, 1060, 4523, 3951, 2275, 1063, 4809, 1009, 5412, 1836, 3863, 20, 1101, 17665, 5412, 1005, 1456, 30890, 5588, 2281, 11988, 1068, 1026, 6276, 20, 1307, 2267, 1026, 12896, 5857, 1006, 1558, 90, 1930, 1006, 4809, 1009, 5412, 3684, 8583, 3807, 1723, 1160, 2643, 1184, 12896, 2100, 1422, 48, 1018, 1093, 9410, 6256, 32, 4049, 1075, 11494, 1118, 1048, 1919, 1018, 5639, 1006, 4982, 37, 11329, 3907, 1620, 1160, 4064, 2100, 1487, 21876, 4809, 1973, 1679, 1048, 3586, 18984, 32, 5707, 1270, 1089, 1026, 1048, 1264, 16179, 1277, 3950, 7, 2100, 1675, 6107, 2241, 4234, 1030, 7238, 1009, 8344, 23014, 5948, 1068, 1006, 30067, 1112, 1048, 1132, 14446, 16944, 21932, 1482, 1752, 1094, 8545, 2258, 1648, 1184, 1206, 2444, 18520, 3278, 12900, 1779, 48, 1018, 1093, 1973, 1679, 1048, 3586, 18984, 32, 3807, 13885, 1089, 1124, 1030, 7238, 1009, 3111, 7, 2100, 7729, 78, 1975, 4328, 1016, 1495, 1006, 13483, 1377, 1799, 48, 1018, 1093, 8583, 2951, 9367, 7930, 79, 1005, 1756, 1214, 1213, 8349, 3498, 3691, 7, 2100, 1084, 1857, 11519, 20, 1844, 53, 8349, 3498, 3691, 30093, 1006, 3111, 1048, 1058, 2257, 23045, 1054, 12896, 20, 2200, 1160, 3855, 1009, 1571, 1050, 6284, 1309, 1132, 1048, 3586, 18984, 21323, 18, 2340, 2829, 1857, 1048, 5588, 7930, 1136, 1006, 11950, 1782, 53, 8349, 3498, 3691, 7600, 2276, 1026, 1072, 1343, 1005, 3684, 8583, 3598, 1902, 1784, 8935, 1831, 1026, 12896, 1853, 2170, 1511, 1132, 11988, 1566, 1826, 2411, 1199, 77, 2585, 8935, 1026, 12896, 2444, 30252, 2605, 12931, 7887, 14431, 1026, 12896, 2631, 1495, 2364, 11021, 2475, 19016, 1195, 1026, 2738, 1187, 7880, 1009, 5412, 20, 2200, 1026, 9009, 1054, 3217, 150, 1060, 4523, 3951, 1034, 1005, 14857, 1079, 1006, 1224, 16900, 18, 1005, 1456, 30890, 5082, 1202, 10807, 20, 1, 14912, 1384, 2609, 1239, 1175, 31150, 3104, 18, 25724, 1005, 12173, 14873, 5161, 12779, 1009, 6276, 11408, 3382, 28183, 3378, 8523, 8734, 1009, 5341, 1100, 21936, 1005, 7383, 5330, 2552, 1497, 4807, 1068, 1224, 2042, 1009, 26479, 2013, 1992, 1048, 22832, 1752, 12779, 1187, 21204, 1048, 1323, 5482, 1040, 1068, 17653, 1026, 1807, 1531, 10599, 1566, 13145, 1068, 6141, 1048, 1006, 12779, 1009, 6276, 1096, 1026, 2803, 1054, 1048, 1026, 3152, 1009, 1664, 1132, 6660, 8362, 1975, 1213, 1592, 1557, 1005, 1048, 1006, 11796, 1325, 1006, 8720, 1060, 5913, 37, 1084, 1118, 1616, 1026, 1235, 1807, 1531, 16092, 1094, 12779, 24229, 1519, 3900, 24539, 4876, 1226, 2422, 2789, 7260, 1206, 14912, 1384, 2609, 1239, 1096, 5958, 18, 13469, 14424, 1005, 1201, 3013, 1009, 1630, 25286, 17120, 1079, 1114, 2236, 1009, 26374, 1094, 2360, 2596, 1009, 8298, 1024, 1124, 1783, 1043, 1124, 1569, 22951, 2328, 1060, 12779, 1009, 6276, 20, 11752, 1026, 7051, 2751, 1096, 1006, 2042, 1009, 1752, 1384, 3424, 6751, 1687, 6787, 10841, 1930, 27983, 1005, 2232, 8193, 1006, 1664, 1132, 31502, 2340, 2306, 1160, 6868, 1006, 2042, 5544, 1601, 1870, 2306, 6868, 2155, 22991, 1439, 3994, 1043, 1026, 8270, 1006, 14025, 1048, 1132, 1071, 18200, 4715, 1495, 6185, 1531, 3590, 2840, 17127, 1752, 12779, 1096, 6216, 4807, 1068, 1752, 1384, 3424, 10620, 3407, 1096, 5580, 1213, 18734, 3720, 8755, 1048, 1752, 6276, 1096, 3872, 1005, 14617, 1005, 1118, 3005, 16092, 1094, 12779, 4661, 1006, 4786, 1005, 2381, 1140, 1043, 1493, 15890, 1005, 3445, 1068, 1132, 21, 1016, 25757, 8152, 18074, 18935, 4524, 1043, 26374, 1096, 4524, 1043, 1026, 8449, 1271, 1783, 1005, 1752, 6477, 1009, 8449, 3244, 1261, 1664, 1132, 4972, 2381, 1330, 1010, 1043, 1493, 15890, 1704, 17746, 3104, 1322, 14912, 1384, 2609, 1239, 5, 1046, 1056, 1037, 1377, 89, 1145, 1759, 7393, 13777, 8327, 17889, 1009, 6276, 3118, 168, 2359, 1016, 1005, 1373, 2628, 1438, 20, 1633, 3165, 1048, 1006, 2348, 12779, 4219, 3630, 1962, 3230, 1005, 1068, 3794, 14805, 1229, 1005, 1160, 3012, 1261, 3330, 1094, 5342, 16015, 1063, 14912, 18853, 31779, 1006, 12779, 1043, 18139, 18, 2631, 10225, 1005, 7743, 2112, 7, 1063, 1853, 12779, 1048, 1566, 8717, 1195, 1006, 2348, 2856, 42, 1759, 7393, 1048, 10029, 2092, 2403, 1009, 20663, 1006, 12779, 1096, 1094, 1271, 5220, 5314, 3653, 1907, 1533, 14912, 1225, 1094, 3894, 10009, 1005, 1006, 6016, 1034, 1910, 2624, 5848, 92, 9188, 5764, 20, 71, 1730, 1529, 8422, 28823, 1261, 10921, 1094, 3271, 1853, 1068, 8748, 1044, 2803, 2072, 2127, 1159, 1006, 3028, 12779, 1467, 14912, 1195, 1009, 1094, 18139, 9940, 1114, 3907, 1009, 6141, 1072, 15599, 1058, 1173, 11744, 1006, 1752, 16590, 1060, 3028, 2042, 1005, 1294, 7455, 29203, 1049, 8368, 1213, 2822, 5, 18896, 13322, 10376, 6170, 1352, 1096, 1094, 3467, 1493, 19304, 1005, 1048, 4713, 10927, 3028, 12779, 1009, 1044, 10882, 1634, 3247, 1408, 1519, 17218, 1225, 1094, 7232, 1019, 2563, 1005, 10882, 1043, 1124, 2880, 1048, 15792, 2073, 1044, 10841, 1069, 9346, 3583, 1114, 8300, 1049, 5453, 1068, 22744, 1006, 3164, 1005, 1026, 10711, 1298, 1178, 27716, 1069, 1495, 1094, 3757, 1996, 1049, 6276, 4355, 1127, 6110, 15845, 1054, 2951, 3374, 1009, 6242, 5025, 1406, 18, 4221, 3420, 1094, 12779, 15258, 1068, 1752, 31693, 6717, 1135, 1043, 1857, 11449, 14865, 1044, 7468, 1304, 8828, 1068, 1752, 17394, 2589, 1066, 2862, 1161, 1463, 29226, 4533, 1005, 4106, 1048, 1857, 9344, 1048, 3699, 5984, 25218, 1072, 8484, 1009, 1752, 8270, 1068, 5115, 10203, 1006, 13875, 21088, 1, 1138, 2956, 1005, 1124, 1588, 983, 73, 1242, 1015, 15604, 18983, 1573, 1005, 1225, 1094, 12831, 1184, 3746, 1893, 19368, 20140, 1865, 1814, 30512, 1915, 5304, 8465, 3162, 23, 9395, 1138, 3124, 1009, 1006, 3364, 1187, 16135, 4207, 15347, 20140, 1048, 15283, 1006, 1755, 84, 983, 71, 1072, 1028, 983, 83, 1471, 1009, 5592, 6060, 1554, 8465, 2023, 28, 9395, 1063, 3746, 983, 1217, 15436, 1132, 16135, 1009, 2596, 17477, 1138, 3435, 20140, 26821, 983, 1217, 1206, 1869, 6372, 1149, 1187, 15347, 8465, 2023, 25, 9395, 7049, 18147, 1144, 983, 73, 12828, 8305, 43, 2162, 1035, 4314, 1405, 1797, 85, 4462, 1112, 1009, 1144, 5860, 12828, 1005, 5019, 5464, 1605, 1048, 1327, 1132, 1144, 5860, 12828, 1009, 12848, 1060, 8305, 43, 2162, 1035, 37, 7731, 1026, 1831, 2803, 1060, 3649, 1060, 8305, 43, 2162, 2586, 3675, 2315, 1006, 4716, 1009, 31807, 1044, 6502, 1184, 14228, 1009, 19078, 1108, 1554, 2494, 8305, 43, 2162, 1035, 8897, 13007, 1774, 1105, 1130, 2539, 4267, 1009, 19078, 1108, 1554, 1138, 4677, 89, 1810, 18482, 6785, 1223, 23879, 2177, 1044, 21088, 31869, 24538, 1132, 4440, 1009, 26539, 1573, 1005, 26255, 1048, 1666, 3890, 1054, 4320, 27622, 5494, 1159, 15484, 18679, 9180, 1206, 2073, 2236, 22601, 1206, 16406, 11955, 1184, 1054, 2930, 13407, 1072, 4941, 29862, 4038, 1508, 2100, 1063, 1431, 75, 2162, 2586, 1159, 1026, 3266, 1720, 31604, 1096, 1094, 4630, 1009, 1144, 5860, 1108, 1554, 11203, 24538, 1826, 29767, 1072, 5019, 5464, 1060, 1431, 75, 2162, 16540, 1505, 26930, 1132, 24538, 18252, 1006, 4188, 1049, 4241, 20, 8071, 1209, 1009, 30610, 1009, 1144, 5860, 12828, 13067, 1250, 1132, 16847, 1009, 17675, 1009, 3794, 24538, 2755, 7941, 13964, 18720, 4424, 1679, 4802, 2585, 1726, 1782, 3229, 1060, 16451, 1054, 2930, 26987, 5960, 4228, 2634, 2642, 1078, 5823, 2182, 2525, 22624, 1205, 3382, 3867, 1049, 28976, 15148, 11316, 3254, 169, 2376, 78, 2077, 11235, 175, 1479, 3867, 1233, 4338, 1009, 31170, 1565, 5019, 5464, 1060, 8305, 43, 2162, 1035, 1138, 5019, 5464, 7412, 1058, 13275, 1213, 1852, 1009, 1752, 1305, 26198, 1054, 3164, 1006, 1178, 19970, 1043, 16126, 16160, 10934, 11230, 1027, 1178, 10300, 1140, 12100, 27632, 2012, 1006, 2073, 5847, 9803, 1124, 14075, 1005, 6106, 1049, 4241, 20, 1138, 5019, 5464, 1060, 8305, 43, 2162, 1035, 2663, 21698, 15, 11897, 1009, 2596, 15655, 1124, 17634, 1005, 16127, 10582, 1322, 1006, 13507, 1054, 1048, 1026, 4677, 89, 3342, 6930, 11263, 1060, 8305, 43, 2162, 1035, 3634, 1058, 3168, 2459, 1138, 3407, 4352, 71, 3360, 1026, 8542, 1187, 14629, 3342, 11041, 2950, 1006, 6222, 1009, 1335, 1554, 9520, 32, 11906, 2854, 71, 1028, 0, 1083, 1479, 4677, 89, 3342, 1060, 8305, 43, 2162, 1035, 4314, 1405, 7811, 4335, 1009, 8605, 1009, 1144, 5860, 12828, 1009, 12848, 1071, 12955, 1009, 1144, 5860, 12828, 15, 1063, 13507, 12533, 2860, 1009, 8542, 1060, 1431, 75, 2162, 1035, 1058, 17785, 1006, 2323, 1187, 4306, 31220, 1009, 8605, 14, 45, 58, 3490, 1565, 1138, 2751, 4313, 1096, 1026, 12955, 1009, 1144, 5860, 1108, 1554, 6062, 12955, 2177, 19427, 1009, 1044, 2417, 1009, 1783, 1048, 1058, 17508, 1006, 14126, 3140, 15625, 1679, 19078, 1108, 1554, 1138, 12955, 2177, 1026, 3311, 1009, 5231, 1187, 24538, 1060, 1431, 75, 2162, 1035, 1068, 1124, 8823, 1049, 1531, 1006, 10987, 13372, 1264, 1048, 5589, 1945, 1132, 5278, 1009, 3603, 17754, 4547, 3361, 1945, 31189, 4089, 1945, 1026, 4818, 1005, 1006, 7689, 1187, 19078, 1108, 1229, 10760, 150, 1054, 2252, 1124, 16721, 1005, 6106, 1005, 5589, 1945, 1006, 6222, 1009, 3398, 19078, 1108, 1554, 7731, 1566, 18, 1668, 12955, 1325, 15359, 1068, 16310, 2048, 3794, 24538, 1005, 16310, 2048, 2252, 1124, 4759, 7823, 1, 24030, 1842, 1005, 1941, 13326, 22239, 1322, 1124, 21925, 20095, 4993, 1479, 28244, 52, 1519, 1576, 1816, 21045, 1842, 1005, 1941, 13326, 22239, 1322, 1124, 21925, 20095, 4993, 6174, 21925, 5334, 4993, 1009, 24030, 1327, 1094, 6386, 1005, 1006, 15775, 9923, 2350, 4601, 3019, 2017, 12294, 2328, 1009, 1044, 22239, 5613, 21925, 5334, 4993, 4343, 2593, 5262, 1657, 1068, 2088, 24030, 1005, 2177, 3654, 2808, 12923, 6880, 1068, 1752, 1044, 1187, 24030, 1048, 1693, 28142, 1964, 1006, 1668, 1499, 1667, 2034, 12923, 4343, 2593, 29383, 1356, 1784, 1009, 1344, 15156, 5613, 21925, 5334, 4993, 4343, 1261, 2269, 1657, 1890, 1026, 6942, 1005, 1986, 1026, 1852, 1049, 9027, 1026, 24030, 2922, 1213, 1235, 12294, 3388, 18566, 1620, 16691, 1048, 12413, 1044, 3756, 1009, 15823, 1048, 4145, 2490, 1213, 31316, 152, 7511, 1571, 3798, 1046, 1006, 16179, 2986, 5138, 1068, 5587, 1184, 16647, 5653, 6781, 1006, 5548, 1009, 14207, 17531, 1344, 2641, 1342, 1195, 1318, 22544, 1159, 1094, 1271, 3145, 11699, 9230, 1043, 1006, 21925, 8172, 11492, 24030, 1842, 1005, 24030, 1941, 11452, 12768, 1006, 2224, 1009, 3422, 10777, 2177, 1318, 3941, 1356, 2380, 28495, 1044, 6642, 1358, 1031, 1048, 2155, 7243, 1006, 8344, 1068, 1006, 1224, 21925, 20095, 2113, 3812, 20071, 12808, 57, 77, 2192, 2019, 1956, 83, 6482, 1162, 81, 23039, 84, 1474, 8353, 1252, 11834, 1162, 81, 23039, 1162, 81, 23039, 2311, 1162, 81, 23039, 3504, 88, 11269, 1759, 1441, 1153, 1250, 5956, 1048, 1516, 1448, 1093, 1599, 29681, 2020, 90, 22440, 1160, 4540, 6534, 1026, 8939, 1118, 9282, 1533, 12025, 44, 1013, 1956, 18, 1006, 2092, 15871, 2572, 1048, 1668, 2666, 2374, 1026, 2666, 1184, 31722, 1060, 2700, 13840, 1040, 9513, 1084, 1826, 1006, 5597, 18662, 1026, 2666, 1006, 4101, 9990, 1554, 8384, 12720, 1048, 5639, 2289, 3241, 2281, 1680, 31745, 1383, 1058 ]

[ 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1054, 8241, 30974, 1305, 7427, 1233, 3271, 1206, 11166, 10902, 33, 6297, 1479, 24608, 8876, 1474, 1005, 3251, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 24281, 1005, 1026, 8241, 6678, 2281, 30974, 1043, 7427, 1233, 3271, 1206, 11166, 10902, 33, 7802, 1479, 18208, 4519, 1092, 4998, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1054, 8241, 30974, 1043, 7427, 1233, 3271, 1206, 11166, 10902, 33, 1205, 1479, 21087, 13825, 19451, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 14613, 1357, 4884, 1009, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 4576, 1058, 1234, 24281, 33, 11734, 1479, 13063, 3995, 1021, 21972, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 32, 14217, 1479, 23681, 3414, 1262, 1893, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1114, 4884, 1009, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 1136, 33, 20644, 1479, 21100, 3414, 1095, 1893, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1054, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 1136, 1043, 3435, 12665, 24454, 1069, 1026, 1862, 5457, 25210, 20, 1156, 1479, 1160, 1261, 30974, 8241, 1043, 7427, 1206, 11166, 10902, 1006, 3271, 33, 3801, 1479, 1160, 1261, 30974, 1026, 8241, 1717, 1235, 3419, 1206, 24078, 33, 6297, 1479, 1261, 8580, 1188, 1213, 2444, 1083, 24109, 14278, 25094, 15, 1060, 5865, 1072, 7838, 3388, 33, 7802, 1479, 1178, 17897, 1005, 1261, 2631, 5762, 1429, 2219, 3335, 10151, 1069, 1356, 4148, 1049, 11064, 33, 1205, 1479, 1160, 1261, 17797, 4422, 11445, 1377, 675, 0, 6297, 1479, 1142, 14607, 1082, 4503, 30640, 5113, 5655, 1187, 7896, 1487, 0, 18, 1842, 50, 1060, 9015, 3517, 65, 30432, 2663, 44, 21, 4325, 15, 1005, 12320, 1101, 0, 18, 6906, 21723, 1049, 7310, 65, 27, 67, 4051, 20357, 2464, 1054, 8263, 18, 1006, 3940, 20188, 1160, 23503, 1165, 1130, 3893, 10868, 1058, 1234, 1054, 10472, 1049, 1686, 4613, 20, 1063, 2360, 3940, 1048, 17217, 1050, 3448, 1006, 19937, 1026, 14613, 1160, 21161, 150, 15593, 12513, 1054, 6052, 2270, 2013, 1718, 1188, 1048, 1026, 5612, 1348, 1556, 1707, 3022, 1054, 8040, 2601, 2255, 5319, 1026, 13528, 1068, 1006, 10085, 1027, 1009, 7838, 1009, 2088, 4267, 5018, 1102, 1005, 21875, 65, 28, 13916, 14297, 1314, 18146, 2271, 1026, 19392, 7008, 1356, 3266, 4813, 1060, 5829, 1005, 8084, 9945, 1009, 1048, 1006, 5576, 1516, 1006, 1009, 1494, 1237, 2582, 2219, 1026, 4618, 20188, 2170, 28628, 2350, 6264, 1068, 10085, 1027, 1009, 7838, 28909, 17570, 1054, 2127, 1068, 5224, 10522, 9943, 1172, 1171, 1047, 6683, 1005, 22794, 1524, 3983, 1776, 2268, 1305, 4659, 1072, 24783, 1187, 10522, 1172, 1171, 1047, 6683, 1043, 3435, 12665, 1043, 10112, 1048, 28489, 4133, 1054, 4422, 21236, 2669, 2170, 1118, 6781, 12527, 1048, 1327, 1057, 1441, 5730, 1054, 10522, 1172, 1171, 1047, 6683, 1206, 1867, 1052, 2502, 20498, 20, 2475, 2084, 11734, 1005, 14217, 1060, 23940, 6806, 10663, 15, 5756, 1026, 1048, 4800, 5944, 3256, 1009, 1335, 1065, 1047, 2486, 1020, 1098, 1025, 2057, 5764, 1068, 5224, 1048, 1327, 1057, 1441, 5730, 1357, 4884, 1009, 10522, 7274, 1005, 1327, 28763, 1118, 10522, 1172, 1171, 1047, 1037, 1554, 1424, 27044, 1213, 9066, 1800, 1026, 22901, 1072, 29476, 1205, 1049, 2859, 1009, 3940, 4109, 1624, 73, 14286, 15615, 1371, 1048, 1026, 5612, 3858, 1118, 3481, 1206, 1495, 1592, 1009, 1871, 1109, 1334, 1897, 3414, 1061, 159, 6197, 1319, 16198, 1091, 1349, 16454, 1379, 1026, 5497, 1057, 1441, 1906, 1071, 625, 0, 60, 1479, 21087, 13825, 19451, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 14613, 1357, 4884, 1009, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 4576, 1058, 1234, 24281, 0, 626, 1349, 1160, 21027, 1184, 1006, 10937, 1009, 10085, 1027, 8421, 3234, 20883, 1384, 1554, 15121, 1831, 5847, 20012, 11267, 1381, 1011, 4432, 1048, 28763, 1118, 10522, 1172, 1171, 1047, 6683, 1005, 22794, 1524, 2585, 1592, 1048, 1318, 28763, 1118, 10522, 28446, 4444, 17285, 1159, 21875, 1378, 1480, 18843, 1006, 2921, 31789, 1009, 10085, 1027, 1009, 7838, 14859, 1068, 1090, 2223, 1482, 1048, 1861, 75, 1006, 5579, 1009, 5978, 1009, 1048, 20012, 1871, 1009, 16145, 1026, 2017, 23562, 4172, 20062, 1829, 1024, 1054, 1094, 1762, 11252, 1060, 10642, 1005, 1009, 6411, 1049, 5612, 3858, 1976, 15133, 5294, 1026, 9383, 1049, 3653, 1057, 3158, 675, 0, 6445, 14732, 4826, 3402, 14935, 4682, 12474, 1006, 11143, 1009, 16559, 7492, 2645, 9091, 6327, 1060, 5013, 4159, 1349, 1680, 1159, 9149, 1371, 1009, 2360, 3940, 1054, 10472, 1049, 1460, 3017, 1006, 2323, 1009, 3404, 1009, 2992, 1009, 7434, 1664, 5224, 1048, 11452, 1057, 1441, 5730, 1357, 4884, 1009, 10522, 7274, 1005, 3745, 3493, 1006, 15387, 10522, 1172, 1171, 1047, 6683, 1206, 1867, 1052, 10825, 1992, 1159, 1132, 1378, 5454, 13590, 1178, 4305, 1026, 4618, 1049, 12320, 2475, 2084, 1205, 1060, 23940, 6806, 1206, 4473, 10085, 1027, 1009, 7838, 1986, 1026, 13565, 1009, 21087, 1060, 5865, 3019, 3810, 8241, 1071, 1708, 1054, 1307, 21, 2400, 1026, 12227, 1006, 23681, 1565, 28983, 8866, 2638, 1091, 1057, 1441, 1906, 1356, 8241, 1009, 18565, 1164, 2987, 1479, 12320, 1984, 2400, 1613, 23644, 1049, 7310, 1479, 1048, 1096, 14613, 1118, 17815, 1009, 11795, 1479, 12320, 1307, 2394, 1613, 23644, 1060, 3811, 13227, 4990, 25, 2600, 3006, 2656, 5756, 18, 5819, 2073, 20026, 1114, 3940, 1322, 1057, 1441, 3874, 9080, 1206, 1009, 10522, 1060, 2921, 5154, 1054, 15476, 7044, 20, 2332, 1790, 1148, 19971, 2464, 4850, 1009, 1160, 1178, 3820, 3019, 20459, 1318, 5756, 10996, 9524, 158, 12571, 1068, 1132, 28763, 1054, 10522, 28446, 1054, 2127, 1043, 2869, 1233, 31789, 1009, 2182, 11, 11746, 3487, 1349, 1048, 1096, 20751, 7511, 1006, 1083, 27166, 11746, 3487, 5861, 15, 1009, 13565, 1060, 5018, 1377, 1063, 7064, 1009, 15415, 6674, 8772, 1043, 12513, 1005, 25464, 1160, 18158, 1048, 1026, 30833, 1271, 2272, 4993, 2802, 5992, 1026, 11265, 13565, 1060, 28581, 3787, 1726, 4034, 7531, 1049, 1168, 1051, 2270, 2656, 1009, 2924, 17127, 13651, 9677, 1096, 8443, 1006, 6446, 1049, 23562, 1114, 1022, 3352, 3540, 5018, 1102, 1620, 1054, 1746, 1877, 4541, 1680, 1159, 1463, 2272, 4993, 1009, 5865, 2794, 1822, 1814, 1675, 2830, 1049, 17328, 65, 29, 67, 1349, 8636, 1060, 3164, 1049, 9518, 1337, 1049, 27505, 12474, 1048, 1006, 3940, 2360, 12219, 1197, 1026, 10112, 1005, 18886, 11145, 1244, 10750, 4392, 1006, 1224, 3583, 1054, 11767, 1071, 2163, 10630, 1586, 1565, 1, 1138, 1048, 14301, 1044, 21700, 86, 1889, 1009, 1044, 17183, 86, 1889, 37, 1505, 1493, 1557, 3530, 4732, 3372, 16309, 1114, 5131, 1271, 1783, 10298, 8155, 1305, 9605, 1026, 1048, 8930, 5233, 1044, 4545, 1072, 2191, 6903, 3617, 4366, 1453, 1159, 1211, 5876, 1044, 7346, 1068, 3530, 7539, 1058, 1857, 1058, 6910, 1040, 1365, 12356, 9274, 1178, 2073, 17394, 2271, 1044, 4798, 1060, 2531, 1495, 1044, 5399, 1493, 15699, 17593, 19163, 1060, 3780, 1195, 5365, 1140, 1006, 7167, 86, 2994, 7415, 5473, 7539, 1005, 2688, 5567, 1693, 1178, 21915, 1068, 5680, 1058, 1862, 1007, 1656, 1009, 1224, 6443, 5018, 3424, 14176, 5521, 30334, 1371, 1211, 5876, 1044, 7346, 30130, 16203, 1118, 2068, 2088, 15944, 1953, 1875, 1248, 14960, 1118, 3651, 1856, 21507, 2207, 15002, 1006, 1569, 3305, 4146, 1113, 5359, 12006, 1766, 5592, 2972, 1054, 2700, 1327, 14546, 1048, 1294, 28334, 1202, 1005, 1048, 1213, 1592, 1557, 1294, 5036, 27554, 1026, 20874, 1009, 11726, 21507, 2207, 1054, 1456, 3724, 2223, 1138, 4545, 8744, 1058, 13878, 71, 1072, 5054, 1054, 27285, 22012, 1006, 5267, 1365, 17183, 86, 7225, 1005, 21700, 86, 7225, 1005, 2688, 1124, 5567, 1009, 3227, 1693, 1178, 21915, 1006, 5494, 5038, 1554, 3126, 23103, 1159, 9142, 1132, 5364, 1049, 28227, 1007, 1143, 17744, 6873, 19671, 1005, 1224, 5034, 1322, 1026, 5762, 1009, 1664, 1132, 4267, 1009, 5592, 12423, 14176, 5521, 1195, 2481, 1211, 5876, 1044, 7346, 1009, 1044, 25193, 1054, 2700, 1005, 12097, 1026, 1048, 1118, 1493, 1557, 17384, 4759, 7823, 4634, 19363, 1026, 1048, 1058, 5103, 1114, 5131, 1009, 5494, 7539, 37, 1084, 1026, 1048, 13230, 9887, 17369, 2072, 28483, 1209, 37, 1424, 1006, 3780, 1195, 2481, 12746, 1006, 5131, 1009, 1044, 25193, 1005, 1456, 3187, 3662, 1386, 1435, 1049, 7346, 29750, 9454, 1679, 5592, 2972, 14960, 1048, 27249, 1006, 7271, 1043, 1132, 1456, 10522, 1172, 1171, 1047, 1037, 1554, 675, 0, 2858, 25193, 1054, 2700, 1206, 15944, 1953, 15988, 1096, 1044, 2446, 1009, 29750, 1048, 1043, 2509, 10522, 1043, 11319, 3553, 4195, 7001, 3530, 6515, 1499, 1093, 2472, 27886, 1005, 1225, 1006, 4716, 1009, 3603, 1322, 1569, 5477, 22874, 7575, 6335, 1159, 1006, 17128, 1005, 15928, 29342, 6968, 1124, 10529, 1054, 7653, 2239, 3276, 17670, 5153, 2663, 2545, 53, 25390, 7127, 6906, 3876, 1349, 2088, 5592, 2972, 7085, 1046, 2122, 5223, 1009, 3603, 1657, 1043, 1026, 11342, 2784, 1054, 6375, 2668, 1795, 1046, 25357, 1734, 25403, 3960, 2568, 19868, 3461, 1068, 4877, 1006, 2684, 14283, 1009, 3756, 1048, 23006, 1006, 22619, 1009, 17128, 1118, 9566, 1726, 2624, 7872, 1745, 1528, 1157, 1213, 6460, 1026, 11342, 1177, 1060, 3305, 11930, 8601, 13745, 1160, 1096, 4445, 7449, 1044, 25193, 1054, 1178, 7699, 2340, 1114, 3364, 1271, 2624, 1857, 1327, 1783, 3339, 2565, 6515, 10465, 26123, 1005, 1094, 14298, 5617, 1196, 1356, 7929, 1221, 1054, 5661, 2340, 1327, 5560, 23749, 1068, 1043, 1006, 20752, 8335, 1054, 1235, 1784, 5109, 1327, 1783, 8183, 14008, 3273, 1327, 8903, 1357, 1224, 3225, 1033, 1092, 2563, 1005, 3971, 1009, 18139, 20, 1603, 1118, 1044, 2790, 6515, 9097, 29940, 5336, 1463, 1569, 6298, 1311, 4146, 1096, 23536, 1068, 2742, 4849, 11250, 3647, 1044, 7246, 1311, 1714, 1009, 4556, 1043, 2306, 2572, 1048, 1058, 11696, 8466, 25109, 1009, 2663, 2545, 53, 25390, 6906, 2721, 1349, 1054, 6375, 3987, 3971, 1009, 28577, 1043, 1124, 1783, 1006, 1224, 16687, 1096, 2328, 1060, 3305, 1549, 1048, 6787, 15486, 1132, 1456, 1184, 4781, 1010, 4626, 1229, 10310, 1006, 1224, 2733, 2317, 1802, 8601, 13745, 3530, 5592, 2972, 6515, 1026, 7346, 1009, 1094, 3271, 15179, 2950, 1006, 1989, 7346, 2457, 1071, 1207, 3123, 75, 2196, 4210, 15, 2916, 1009, 18485, 11, 8651, 16445, 1043, 5293, 4612, 1009, 21715, 27, 4844, 20203, 1046, 1044, 1543, 3060, 1009, 21507, 2207, 1118, 1571, 1475, 5984, 1992, 1159, 2991, 15907, 20187, 1026, 2093, 1628, 1221, 25526, 21014, 95, 1048, 2177, 2392, 1069, 1043, 1712, 17986, 1006, 19413, 25526, 2793, 3201, 1118, 3651, 1856, 21507, 2207, 1054, 1456, 17174, 14505, 3179, 1927, 2096, 5147, 3073, 1854, 1493, 5162, 1005, 1124, 1249, 1662, 7913, 6968, 1569, 29535, 3280, 5503, 14636, 1456, 1968, 1948, 1333, 6056, 1154, 2502, 1005, 10486, 1596, 12871, 1048, 1160, 1249, 1056, 2865, 1495, 1006, 19238, 6751, 2653, 5473, 17174, 14505, 1143, 2051, 6255, 1060, 3028, 4360, 23148, 1160, 1998, 1026, 7355, 1009, 11410, 1184, 1006, 3651, 1856, 1033, 1092, 2563, 1043, 1048, 1096, 3330, 1927, 1294, 6733, 1200, 30655, 1554, 6771, 1072, 18861, 1049, 7346, 1006, 5342, 1271, 3305, 4146, 3048, 1927, 1327, 12411, 1118, 5806, 1005, 1114, 3364, 1187, 29453, 1054, 14332, 1160, 1837, 2869, 1365, 1006, 3305, 1549, 1005, 1026, 9058, 8508, 0, 8144, 1124, 5482, 1040, 1356, 2987, 24849, 1100, 5754, 2122, 5342, 1160, 1096, 5560, 8853, 8772, 20, 14327, 3634, 1261, 1044, 7856, 2127, 1068, 1026, 25193, 6938, 1078, 2040, 1005, 4760, 83, 1400, 15391, 7070, 3850, 27467, 4936, 1565, 675, 0, 2267, 1118, 3018, 1068, 25526, 21014, 2196, 1048, 2257, 1026, 4308, 1009, 6016, 5162, 4532, 1452, 1068, 11410, 1734, 1160, 1225, 1044, 2446, 1009, 3305, 1549, 2355, 4457, 10662, 1620, 1048, 1224, 5342, 2374, 11636, 1662, 1230, 1927, 12489, 2637, 1068, 1857, 23558, 19029, 20, 14176, 5521, 1986, 1006, 5342, 1060, 1224, 9563, 1048, 2739, 2624, 1096, 5159, 1140, 3751, 3628, 1026, 25193, 10333, 10720, 1054, 17128, 2427, 1126, 2088, 1118, 9566, 2250, 1005, 1495, 10847, 1734, 1795, 1046, 6154, 20, 3316, 3616, 1096, 6672, 18, 1998, 31837, 1026, 14706, 1049, 10720, 1511, 1006, 9563, 3904, 1006, 11342, 2784, 1132, 6968, 15168, 3259, 1005, 10796, 1166, 1043, 1026, 1006, 6302, 8335, 1264, 2598, 13419, 5560, 5928, 14736, 1026, 1048, 3901, 1048, 5544, 5711, 1043, 3606, 3305, 1053, 1728, 675, 0, 1063, 21700, 8594, 1034, 1096, 7843, 1236, 5474, 1072, 2191, 1143, 17744, 1159, 1044, 2417, 1009, 20266, 1206, 6476, 1009, 17472, 1054, 18743, 1043, 8509, 13977, 1049, 4505, 3784, 5494, 1159, 1801, 6818, 1118, 18449, 9680, 1009, 2737, 1022, 1272, 1151, 10651, 7117, 5822, 1035, 1723, 4505, 2609 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1054, 8241, 30974, 1305, 7427, 1233, 3271, 1206, 11166, 10902, 33, 6297, 1479, 24608, 8876, 1474, 1005, 3251, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 24281, 1005, 1026, 8241, 6678, 2281, 30974, 1043, 7427, 1233, 3271, 1206, 11166, 10902, 33, 7802, 1479, 18208, 4519, 1092, 4998, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1054, 8241, 30974, 1043, 7427, 1233, 3271, 1206, 11166, 10902, 33, 1205, 1479, 21087, 13825, 19451, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 14613, 1357, 4884, 1009, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 4576, 1058, 1234, 24281, 33, 11734, 1479, 13063, 3995, 1021, 21972, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 32, 14217, 1479, 23681, 3414, 1262, 1893, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1114, 4884, 1009, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 1136, 33, 20644, 1479, 21100, 3414, 1095, 1893, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 1057, 1441, 1906, 1054, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 1136, 1043, 3435, 12665, 24454, 1069, 1026, 1862, 5457, 25210, 20, 1156, 1479, 1160, 1261, 30974, 8241, 1043, 7427, 1206, 11166, 10902, 1006, 3271, 33, 3801, 1479, 1160, 1261, 30974, 1026, 8241, 1717, 1235, 3419, 1206, 24078, 33, 6297, 1479, 1261, 8580, 1188, 1213, 2444, 1083, 24109, 14278, 25094, 15, 1060, 5865, 1072, 7838, 3388, 33, 7802, 1479, 1178, 17897, 1005, 1261, 2631, 5762, 1429, 2219, 3335, 10151, 1069, 1356, 4148, 1049, 11064, 33, 1205, 1479, 1160, 1261, 17797, 4422, 11445, 1377, 675, 0, 6297, 1479, 1142, 14607, 1082, 4503, 30640, 5113, 5655, 1187, 7896, 1487, 0, 18, 1842, 50, 1060, 9015, 3517, 65, 30432, 2663, 44, 21, 4325, 15, 1005, 12320, 1101, 0, 18, 6906, 21723, 1049, 7310, 65, 27, 67, 4051, 20357, 2464, 1054, 8263, 18, 1006, 3940, 20188, 1160, 23503, 1165, 1130, 3893, 10868, 1058, 1234, 1054, 10472, 1049, 1686, 4613, 20, 1063, 2360, 3940, 1048, 17217, 1050, 3448, 1006, 19937, 1026, 14613, 1160, 21161, 150, 15593, 12513, 1054, 6052, 2270, 2013, 1718, 1188, 1048, 1026, 5612, 1348, 1556, 1707, 3022, 1054, 8040, 2601, 2255, 5319, 1026, 13528, 1068, 1006, 10085, 1027, 1009, 7838, 1009, 2088, 4267, 5018, 1102, 1005, 21875, 65, 28, 13916, 14297, 1314, 18146, 2271, 1026, 19392, 7008, 1356, 3266, 4813, 1060, 5829, 1005, 8084, 9945, 1009, 1048, 1006, 5576, 1516, 1006, 1009, 1494, 1237, 2582, 2219, 1026, 4618, 20188, 2170, 28628, 2350, 6264, 1068, 10085, 1027, 1009, 7838, 28909, 17570, 1054, 2127, 1068, 5224, 10522, 9943, 1172, 1171, 1047, 6683, 1005, 22794, 1524, 3983, 1776, 2268, 1305, 4659, 1072, 24783, 1187, 10522, 1172, 1171, 1047, 6683, 1043, 3435, 12665, 1043, 10112, 1048, 28489, 4133, 1054, 4422, 21236, 2669, 2170, 1118, 6781, 12527, 1048, 1327, 1057, 1441, 5730, 1054, 10522, 1172, 1171, 1047, 6683, 1206, 1867, 1052, 2502, 20498, 20, 2475, 2084, 11734, 1005, 14217, 1060, 23940, 6806, 10663, 15, 5756, 1026, 1048, 4800, 5944, 3256, 1009, 1335, 1065, 1047, 2486, 1020, 1098, 1025, 2057, 5764, 1068, 5224, 1048, 1327, 1057, 1441, 5730, 1357, 4884, 1009, 10522, 7274, 1005, 1327, 28763, 1118, 10522, 1172, 1171, 1047, 1037, 1554, 1424, 27044, 1213, 9066, 1800, 1026, 22901, 1072, 29476, 1205, 1049, 2859, 1009, 3940, 4109, 1624, 73, 14286, 15615, 1371, 1048, 1026, 5612, 3858, 1118, 3481, 1206, 1495, 1592, 1009, 1871, 1109, 1334, 1897, 3414, 1061, 159, 6197, 1319, 16198, 1091, 1349, 16454, 1379, 1026, 5497, 1057, 1441, 1906, 1071, 625, 0, 60, 1479, 21087, 13825, 19451, 1118, 13707, 15, 1060, 5018, 1126, 1058, 1026, 1168, 1051, 1069, 1234, 14613, 1357, 4884, 1009, 8241, 1172, 1171, 1047, 1077, 1206, 1867, 1052, 4576, 1058, 1234, 24281, 0, 626, 1349, 1160, 21027, 1184, 1006, 10937, 1009, 10085, 1027, 8421, 3234, 20883, 1384, 1554, 15121, 1831, 5847, 20012, 11267, 1381, 1011, 4432, 1048, 28763, 1118, 10522, 1172, 1171, 1047, 6683, 1005, 22794, 1524, 2585, 1592, 1048, 1318, 28763, 1118, 10522, 28446, 4444, 17285, 1159, 21875, 1378, 1480, 18843, 1006, 2921, 31789, 1009, 10085, 1027, 1009, 7838, 14859, 1068, 1090, 2223, 1482, 1048, 1861, 75, 1006, 5579, 1009, 5978, 1009, 1048, 20012, 1871, 1009, 16145, 1026, 2017, 23562, 4172, 20062, 1829, 1024, 1054, 1094, 1762, 11252, 1060, 10642, 1005, 1009, 6411, 1049, 5612, 3858, 1976, 15133, 5294, 1026, 9383, 1049, 3653, 1057, 3158, 675, 0, 6445, 14732, 4826, 3402, 14935, 4682, 12474, 1006, 11143, 1009, 16559, 7492, 2645, 9091, 6327, 1060, 5013, 4159, 1349, 1680, 1159, 9149, 1371, 1009, 2360, 3940, 1054, 10472, 1049, 1460, 3017, 1006, 2323, 1009, 3404, 1009, 2992, 1009, 7434, 1664, 5224, 1048, 11452, 1057, 1441, 5730, 1357, 4884, 1009, 10522, 7274, 1005, 3745, 3493, 1006, 15387, 10522, 1172, 1171, 1047, 6683, 1206, 1867, 1052, 10825, 1992, 1159, 1132, 1378, 5454, 13590, 1178, 4305, 1026, 4618, 1049, 12320, 2475, 2084, 1205, 1060, 23940, 6806, 1206, 4473, 10085, 1027, 1009, 7838, 1986, 1026, 13565, 1009, 21087, 1060, 5865, 3019, 3810, 8241, 1071, 1708, 1054, 1307, 21, 2400, 1026, 12227, 1006, 23681, 1565, 28983, 8866, 2638, 1091, 1057, 1441, 1906, 1356, 8241, 1009, 18565, 1164, 2987, 1479, 12320, 1984, 2400, 1613, 23644, 1049, 7310, 1479, 1048, 1096, 14613, 1118, 17815, 1009, 11795, 1479, 12320, 1307, 2394, 1613, 23644, 1060, 3811, 13227, 4990, 25, 2600, 3006, 2656, 5756, 18, 5819, 2073, 20026, 1114, 3940, 1322, 1057, 1441, 3874, 9080, 1206, 1009, 10522, 1060, 2921, 5154, 1054, 15476, 7044, 20, 2332, 1790, 1148, 19971, 2464, 4850, 1009, 1160, 1178, 3820, 3019, 20459, 1318, 5756, 10996, 9524, 158, 12571, 1068, 1132, 28763, 1054, 10522, 28446, 1054, 2127, 1043, 2869, 1233, 31789, 1009, 2182, 11, 11746, 3487, 1349, 1048, 1096, 20751, 7511, 1006, 1083, 27166, 11746, 3487, 5861, 15, 1009, 13565, 1060, 5018, 1377, 1063, 7064, 1009, 15415, 6674, 8772, 1043, 12513, 1005, 25464, 1160, 18158, 1048, 1026, 30833, 1271, 2272, 4993, 2802, 5992, 1026, 11265, 13565, 1060, 28581, 3787, 1726, 4034, 7531, 1049, 1168, 1051, 2270, 2656, 1009, 2924, 17127, 13651, 9677, 1096, 8443, 1006, 6446, 1049, 23562, 1114, 1022, 3352, 3540, 5018, 1102, 1620, 1054, 1746, 1877, 4541, 1680, 1159, 1463, 2272, 4993, 1009, 5865, 2794, 1822, 1814, 1675, 2830, 1049, 17328, 65, 29, 67, 1349, 8636, 1060, 3164, 1049, 9518, 1337, 1049, 27505, 12474, 1048, 1006, 3940, 2360, 12219, 1197, 1026, 10112, 1005, 18886, 11145, 1244, 10750, 4392, 1006, 1224, 3583, 1054, 11767, 1071, 2163, 10630, 1586, 1565, 1, 1138, 1048, 14301, 1044, 21700, 86, 1889, 1009, 1044, 17183, 86, 1889, 37, 1505, 1493, 1557, 3530, 4732, 3372, 16309, 1114, 5131, 1271, 1783, 10298, 8155, 1305, 9605, 1026, 1048, 8930, 5233, 1044, 4545, 1072, 2191, 6903, 3617, 4366, 1453, 1159, 1211, 5876, 1044, 7346, 1068, 3530, 7539, 1058, 1857, 1058, 6910, 1040, 1365, 12356, 9274, 1178, 2073, 17394, 2271, 1044, 4798, 1060, 2531, 1495, 1044, 5399, 1493, 15699, 17593, 19163, 1060, 3780, 1195, 5365, 1140, 1006, 7167, 86, 2994, 7415, 5473, 7539, 1005, 2688, 5567, 1693, 1178, 21915, 1068, 5680, 1058, 1862, 1007, 1656, 1009, 1224, 6443, 5018, 3424, 14176, 5521, 30334, 1371, 1211, 5876, 1044, 7346, 30130, 16203, 1118, 2068, 2088, 15944, 1953, 1875, 1248, 14960, 1118, 3651, 1856, 21507, 2207, 15002, 1006, 1569, 3305, 4146, 1113, 5359, 12006, 1766, 5592, 2972, 1054, 2700, 1327, 14546, 1048, 1294, 28334, 1202, 1005, 1048, 1213, 1592, 1557, 1294, 5036, 27554, 1026, 20874, 1009, 11726, 21507, 2207, 1054, 1456, 3724, 2223, 1138, 4545, 8744, 1058, 13878, 71, 1072, 5054, 1054, 27285, 22012, 1006, 5267, 1365, 17183, 86, 7225, 1005, 21700, 86, 7225, 1005, 2688, 1124, 5567, 1009, 3227, 1693, 1178, 21915, 1006, 5494, 5038, 1554, 3126, 23103, 1159, 9142, 1132, 5364, 1049, 28227, 1007, 1143, 17744, 6873, 19671, 1005, 1224, 5034, 1322, 1026, 5762, 1009, 1664, 1132, 4267, 1009, 5592, 12423, 14176, 5521, 1195, 2481, 1211, 5876, 1044, 7346, 1009, 1044, 25193, 1054, 2700, 1005, 12097, 1026, 1048, 1118, 1493, 1557, 17384, 4759, 7823, 4634, 19363, 1026, 1048, 1058, 5103, 1114, 5131, 1009, 5494, 7539, 37, 1084, 1026, 1048, 13230, 9887, 17369, 2072, 28483, 1209, 37, 1424, 1006, 3780, 1195, 2481, 12746, 1006, 5131, 1009, 1044, 25193, 1005, 1456, 3187, 3662, 1386, 1435, 1049, 7346, 29750, 9454, 1679, 5592, 2972, 14960, 1048, 27249, 1006, 7271, 1043, 1132, 1456, 10522, 1172, 1171, 1047, 1037, 1554, 675, 0, 2858, 25193, 1054, 2700, 1206, 15944, 1953, 15988, 1096, 1044, 2446, 1009, 29750, 1048, 1043, 2509, 10522, 1043, 11319, 3553, 4195, 7001, 3530, 6515, 1499, 1093, 2472, 27886, 1005, 1225, 1006, 4716, 1009, 3603, 1322, 1569, 5477, 22874, 7575, 6335, 1159, 1006, 17128, 1005, 15928, 29342, 6968, 1124, 10529, 1054, 7653, 2239, 3276, 17670, 5153, 2663, 2545, 53, 25390, 7127, 6906, 3876, 1349, 2088, 5592, 2972, 7085, 1046, 2122, 5223, 1009, 3603, 1657, 1043, 1026, 11342, 2784, 1054, 6375, 2668, 1795, 1046, 25357, 1734, 25403, 3960, 2568, 19868, 3461, 1068, 4877, 1006, 2684, 14283, 1009, 3756, 1048, 23006, 1006, 22619, 1009, 17128, 1118, 9566, 1726, 2624, 7872, 1745, 1528, 1157, 1213, 6460, 1026, 11342, 1177, 1060, 3305, 11930, 8601, 13745, 1160, 1096, 4445, 7449, 1044, 25193, 1054, 1178, 7699, 2340, 1114, 3364, 1271, 2624, 1857, 1327, 1783, 3339, 2565, 6515, 10465, 26123, 1005, 1094, 14298, 5617, 1196, 1356, 7929, 1221, 1054, 5661, 2340, 1327, 5560, 23749, 1068, 1043, 1006, 20752, 8335, 1054, 1235, 1784, 5109, 1327, 1783, 8183, 14008, 3273, 1327, 8903, 1357, 1224, 3225, 1033, 1092, 2563, 1005, 3971, 1009, 18139, 20, 1603, 1118, 1044, 2790, 6515, 9097, 29940, 5336, 1463, 1569, 6298, 1311, 4146, 1096, 23536, 1068, 2742, 4849, 11250, 3647, 1044, 7246, 1311, 1714, 1009, 4556, 1043, 2306, 2572, 1048, 1058, 11696, 8466, 25109, 1009, 2663, 2545, 53, 25390, 6906, 2721, 1349, 1054, 6375, 3987, 3971, 1009, 28577, 1043, 1124, 1783, 1006, 1224, 16687, 1096, 2328, 1060, 3305, 1549, 1048, 6787, 15486, 1132, 1456, 1184, 4781, 1010, 4626, 1229, 10310, 1006, 1224, 2733, 2317, 1802, 8601, 13745, 3530, 5592, 2972, 6515, 1026, 7346, 1009, 1094, 3271, 15179, 2950, 1006, 1989, 7346, 2457, 1071, 1207, 3123, 75, 2196, 4210, 15, 2916, 1009, 18485, 11, 8651, 16445, 1043, 5293, 4612, 1009, 21715, 27, 4844, 20203, 1046, 1044, 1543, 3060, 1009, 21507, 2207, 1118, 1571, 1475, 5984, 1992, 1159, 2991, 15907, 20187, 1026, 2093, 1628, 1221, 25526, 21014, 95, 1048, 2177, 2392, 1069, 1043, 1712, 17986, 1006, 19413, 25526, 2793, 3201, 1118, 3651, 1856, 21507, 2207, 1054, 1456, 17174, 14505, 3179, 1927, 2096, 5147, 3073, 1854, 1493, 5162, 1005, 1124, 1249, 1662, 7913, 6968, 1569, 29535, 3280, 5503, 14636, 1456, 1968, 1948, 1333, 6056, 1154, 2502, 1005, 10486, 1596, 12871, 1048, 1160, 1249, 1056, 2865, 1495, 1006, 19238, 6751, 2653, 5473, 17174, 14505, 1143, 2051, 6255, 1060, 3028, 4360, 23148, 1160, 1998, 1026, 7355, 1009, 11410, 1184, 1006, 3651, 1856, 1033, 1092, 2563, 1043, 1048, 1096, 3330, 1927, 1294, 6733, 1200, 30655, 1554, 6771, 1072, 18861, 1049, 7346, 1006, 5342, 1271, 3305, 4146, 3048, 1927, 1327, 12411, 1118, 5806, 1005, 1114, 3364, 1187, 29453, 1054, 14332, 1160, 1837, 2869, 1365, 1006, 3305, 1549, 1005, 1026, 9058, 8508, 0, 8144, 1124, 5482, 1040, 1356, 2987, 24849, 1100, 5754, 2122, 5342, 1160, 1096, 5560, 8853, 8772, 20, 14327, 3634, 1261, 1044, 7856, 2127, 1068, 1026, 25193, 6938, 1078, 2040, 1005, 4760, 83, 1400, 15391, 7070, 3850, 27467, 4936, 1565, 675, 0, 2267, 1118, 3018, 1068, 25526, 21014, 2196, 1048, 2257, 1026, 4308, 1009, 6016, 5162, 4532, 1452, 1068, 11410, 1734, 1160, 1225, 1044, 2446, 1009, 3305, 1549, 2355, 4457, 10662, 1620, 1048, 1224, 5342, 2374, 11636, 1662, 1230, 1927, 12489, 2637, 1068, 1857, 23558, 19029, 20, 14176, 5521, 1986, 1006, 5342, 1060, 1224, 9563, 1048, 2739, 2624, 1096, 5159, 1140, 3751, 3628, 1026, 25193, 10333, 10720, 1054, 17128, 2427, 1126, 2088, 1118, 9566, 2250, 1005, 1495, 10847, 1734, 1795, 1046, 6154, 20, 3316, 3616, 1096, 6672, 18, 1998, 31837, 1026, 14706, 1049, 10720, 1511, 1006, 9563, 3904, 1006, 11342, 2784, 1132, 6968, 15168, 3259, 1005, 10796, 1166, 1043, 1026, 1006, 6302, 8335, 1264, 2598, 13419, 5560, 5928, 14736, 1026, 1048, 3901, 1048, 5544, 5711, 1043, 3606, 3305, 1053, 1728, 675, 0, 1063, 21700, 8594, 1034, 1096, 7843, 1236, 5474, 1072, 2191, 1143, 17744, 1159, 1044, 2417, 1009, 20266, 1206, 6476, 1009, 17472, 1054, 18743, 1043, 8509, 13977, 1049, 4505, 3784, 5494, 1159, 1801, 6818, 1118, 18449, 9680, 1009, 2737, 1022, 1272, 1151, 10651, 7117, 5822, 1035, 1723, 4505, 2609 ]

[ 1837, 2653, 8811, 4106, 1009, 1315, 5378, 3062, 18518, 1309, 1668, 1160, 1096, 1044, 21088, 5126, 1318, 5534, 1046, 1048, 1026, 3066, 1225, 1493, 20176, 1005, 1160, 5434, 4734, 7048, 20, 1257, 1257, 22713, 6773, 2654, 7556, 1058, 1026, 2468, 2357, 1060, 10510, 1096, 10492, 1206, 15574, 20, 1257, 4298, 2484, 32, 1138, 2468, 2357, 1060, 10510, 1096, 1915, 9086, 1566, 1048, 1026, 3142, 1160, 1225, 3192, 1009, 10492, 1006, 3754, 1322, 1026, 3066, 1005, 2793, 12408, 9530, 1069, 1043, 1224, 3513, 1043, 11249, 1257, 1424, 2068, 1114, 2348, 5034, 1049, 3479, 1009, 2649, 9969, 5649, 1161, 9310, 1005, 2468, 1054, 5661, 3002, 14052, 1048, 2237, 10510, 1049, 4168, 1160, 1096, 14433, 2100, 1, 21105, 17212, 1094, 8859, 1009, 1094, 8161, 19198, 1846, 3473, 3583, 1060, 18847, 1377, 1257, 1542, 13399, 1044, 3124, 10041, 1213, 3124, 1004, 1599, 1043, 2068, 1114, 5133, 1049, 12786, 1004, 3567, 28665, 2464, 1026, 1235, 3124, 1976, 1261, 1356, 2444, 1094, 5133, 1054, 3707, 1043, 1026, 3124, 1004, 2270, 7027, 1132, 11145, 3068, 8161, 23278, 1371, 1006, 11145, 5210, 5345, 5024, 3124, 10041, 1976, 9164, 1094, 11228, 1043, 1026, 3124, 1004, 2270, 2034, 28741, 1058, 14360, 1511, 1791, 11145, 1058, 5808, 1046, 1068, 7737, 1026, 5064, 3124, 20, 2858, 2991, 1009, 1094, 11228, 12638, 7732, 30267, 1580, 24514, 20104, 8, 8876, 5201, 15, 2536, 1150, 4736, 91, 1346, 1298, 21178, 1132, 5513, 8, 4593, 1458, 10041, 15, 1175, 7732, 30267, 1580, 1693, 21178, 1132, 5513, 8, 3995, 1618, 1148, 5808, 1140, 1565, 28368, 2837, 1068, 76, 1170, 1018, 2987, 1049, 3124, 20, 7630, 1026, 1235, 3124, 17017, 1976, 2593, 10041, 1213, 3124, 1009, 22926, 1857, 3634, 14804, 23452, 21999, 20751, 18011, 10590, 2289, 1680, 1058, 1026, 1235, 3124, 10041, 5631, 2350, 2266, 18648, 5135, 5157, 2271, 1048, 3241, 3473, 1322, 3131, 1043, 1026, 3124, 6440, 1005, 4836, 2350, 2880, 19945, 1213, 12786, 2185, 4457, 1257, 1134, 1458, 32, 27051, 89, 31039, 1009, 1044, 2417, 1009, 26458, 5214, 1080, 162, 1292, 1391, 10336, 1261, 2558, 1085, 2223, 1257, 1128, 2558, 17525, 3286, 1471, 86, 1085, 89, 1181, 1167, 20, 1257, 30281, 12943, 3133, 1871, 1060, 1008, 2570, 4058, 1261, 2558, 2836, 11561, 1006, 8172, 1049, 2380, 29020, 1343, 3872, 1271, 1801, 2223, 1, 2654, 5192, 1159, 6534, 28626, 2255, 1309, 3074, 3027, 3171, 1068, 1663, 9235, 10971, 13346, 90, 1916, 2800, 3002, 5275, 1006, 2348, 6085, 1658, 5773, 1068, 5275, 1006, 6085, 1009, 9235, 10971, 1096, 3871, 1048, 1299, 3241, 1006, 14716, 1272, 2553, 7043, 31841, 22482, 1006, 1543, 8634, 1043, 1006, 4786, 6097, 4289, 9553, 1026, 1235, 7239, 1005, 1132, 16448, 30865, 1213, 5211, 1060, 1155, 1231, 20, 5024, 13418, 1024, 1976, 1178, 10053, 1072, 2790, 6794, 1009, 9210, 1005, 1456, 1734, 1791, 16448, 3634, 1009, 1698, 1371, 1049, 2143, 2790, 1060, 1155, 1231, 20, 1482, 4702, 5058, 1013, 1371, 1072, 17794, 1060, 1543, 7504, 1802, 1138, 17794, 1184, 6888, 1060, 1543, 8634, 2261, 1945, 1094, 9130, 1712, 1068, 1026, 19462, 2276, 1058, 5058, 1013, 1054, 1044, 17794, 1184, 15073, 1233, 4375, 1048, 1299, 4447, 2648, 20, 21893, 3676, 2059, 3647, 1989, 1168, 2139, 1005, 17794, 1159, 1299, 7842, 1006, 19889, 1005, 21590, 1026, 6460, 17913, 1257, 2358, 1549, 1096, 1044, 7228, 1365, 1044, 6819, 1005, 1044, 3356, 6633, 1138, 6819, 1325, 27011, 1322, 3473, 22325, 11473, 1044, 6737, 1009, 13490, 1060, 4380, 6268, 1685, 1005, 31624, 6750, 1357, 3484, 6268, 1685, 1005, 1049, 28331, 6633, 29343, 1371, 1009, 1048, 1026, 6268, 1577, 7845, 1118, 1048, 1857, 6470, 1006, 1224, 14346, 1138, 12590, 1298, 4347, 2073, 2285, 1009, 10842, 2223, 1138, 6268, 1577, 1976, 4347, 1356, 2444, 2156, 10842, 2223, 1, 1138, 1592, 7856, 37, 4242, 25054, 23043, 1096, 1094, 14955, 1114, 5704, 12832, 2029, 1060, 18705, 1049, 7247, 11843, 7573, 1213, 3821, 1009, 2478, 5952, 11804, 7765, 20, 4242, 25054, 23043, 1096, 1094, 8565, 1114, 5704, 12832, 2029, 1009, 2478, 5952, 11804, 7765, 20, 10590, 4725, 7573, 1213, 3821, 1060, 18705, 1049, 2709, 675, 3313, 2334, 9389, 1124, 15515, 2643, 1026, 1592, 3927, 2270, 5126, 1826, 1657, 6909, 1048, 4242, 25054, 23043, 1096, 1094, 14955, 1114, 5704, 12832, 2029, 1060, 18705, 1049, 7247, 1005, 1325, 5062, 1213, 3821, 1009, 2478, 5952, 11804, 7765, 20, 1, 21105, 7596, 1048, 1006, 3484, 6672, 1068, 1006, 4960, 8701, 1048, 1009, 2632, 5892, 6337, 1034, 6431, 1096, 1150, 1045, 9907, 1406, 6440, 1048, 1132, 2121, 4667, 1327, 1132, 15469, 19933, 1048, 1693, 1058, 27665, 1266, 1006, 5865, 37, 1257, 21567, 12943, 15753, 27452, 1006, 3484, 6672, 1068, 1006, 4960, 8701, 1048, 1009, 2632, 5892, 6337, 1034, 6431, 1160, 1096, 1150, 1045, 9907, 2100, 7630, 2374, 4556, 1048, 1132, 2121, 4667, 1327, 1132, 19933, 1378, 1480, 8639, 1357, 27665, 3131, 1060, 6337, 1411, 1132, 1319, 9907, 1160, 3558, 5254, 1044, 3129, 10745, 3057, 23352, 1257, 1257, 1134, 4000, 1010, 1327, 1132, 15469, 19933, 1048, 2643, 1006, 4008, 1009, 10572, 1132, 15662, 30176, 16625, 9912, 1114, 7331, 1009, 6337, 2275, 5126, 5036, 1616, 3919, 2300, 1157, 19489, 4146, 1048, 5503, 1202, 1006, 1064, 1560, 1342, 1005, 3318, 22227, 1114, 19752, 1026, 1048, 10985, 4279, 6811, 1132, 20387, 21420, 2453, 20, 11149, 2739, 5715, 2625, 1009, 2121, 4667, 1048, 1693, 27665, 1266, 18, 2966, 2121, 4667, 1009, 1190, 4216, 1027, 29947, 2121, 4667, 1190, 4216, 1027, 19966, 1005, 2121, 4667, 1009, 1190, 4216, 1027, 5049, 2275, 1257, 1257, 2231, 83, 1678, 1118, 2143, 6079, 1160, 1327, 8903, 1118, 1224, 4008, 1009, 27665, 1266, 7331, 20, 7630, 6326, 25595, 1044, 3129, 1072, 16784, 4755, 1126, 18010, 18602, 1068, 1734, 19933, 1206, 21181, 1068, 1026, 8566, 1009, 20387, 2328, 1009, 1224, 1028, 1407, 1140, 1009, 4200, 12223, 1857, 1160, 1826, 5232, 11464, 1114, 27665, 3131, 1009, 7331, 1009, 6337, 2275, 1257, 1257, 10634, 1006, 18607, 1009, 1048, 1150, 19800, 7723, 1327, 1132, 19933, 1048, 1009, 2632, 11505, 1006, 1871, 1160, 1096, 1760, 1377, 2013, 2512, 4966, 1132, 11409, 1009, 2625, 19933, 1054, 16784, 12441, 1005, 2071, 2266, 31555, 1213, 6679, 1006, 8155, 1322, 1857, 2100, 1, 10628, 2335, 1898, 71, 5576, 1060, 3780, 1096, 14837, 1322, 1132, 23013, 7072, 1271, 6978, 1005, 23810, 1048, 20851, 1412, 9733, 1193, 1724, 1046, 1026, 25199, 1060, 3757, 6932, 8744, 1294, 4679, 2864, 1118, 9209, 1049, 1531, 1204, 1009, 13028, 1054, 7450, 12568, 4519, 10124, 1049, 3821, 1049, 2251, 18, 1184, 10343, 1114, 18776, 12257, 1136, 1413, 9213, 12738, 1324, 1054, 3687, 5240, 12759, 31701, 26773, 5949, 1006, 2323, 1060, 17314, 1009, 17622, 1132, 11872, 8579, 16205, 7697, 1166, 1118, 3997, 1005, 11277, 1009, 6537, 1094, 4946, 13177, 1988, 5972, 9080, 1005, 8421, 3234, 3361, 1046, 4203, 9790, 1463, 6296, 12568, 20, 2271, 7693, 1124, 3638, 26763, 28846, 1118, 24729, 4988, 1005, 8879, 8579, 16205, 2643, 4099, 1031, 2408, 1094, 13507, 1463, 2688, 5360, 1202, 1224, 2042, 1005, 5431, 1046, 1569, 14766, 2706, 3150, 1006, 5576, 1060, 3780, 1195, 20589, 3034, 10707, 1026, 4025, 1005, 1026, 6490, 1187, 16847, 1365, 1132, 1953, 71, 1253, 21091, 2025, 3998, 79, 1005, 1026, 2999, 20497, 1890, 1124, 7082, 9790, 1005, 1620, 9253, 1006, 3649, 1009, 5360, 11966, 5431, 1016, 2309, 24875, 4440, 2730, 4025, 1009, 12449, 1571, 1837, 13605, 1009, 22641, 1005, 17479, 1009, 7118, 1890, 1006, 3780, 1195, 2481, 9253, 1318, 1132, 24500, 1060, 6651, 9662, 1060, 6477, 1060, 3757, 22411, 30334, 1371, 4966, 1132, 18956, 1009, 17898, 1114, 10091, 1009, 1080, 16488, 26159, 15, 1048, 4352, 1412, 1006, 5286, 1187, 7880, 1531, 8390, 12851, 1114, 3649, 1005, 5649, 1161, 1009, 2896, 1436, 1953, 71, 1253, 2077, 1005, 2025, 3998, 3158, 3530, 5684, 27249, 1124, 12388, 1009, 17549, 31323, 1213, 1048, 1058, 2572, 16689, 1159, 18956, 1009, 4318, 1953, 71, 1253, 2077, 1005, 2025, 3998, 3158, 30334, 1371, 12746, 3530, 5684, 16034, 1166, 2691, 1569, 3361, 6481, 1114, 5978, 1005, 23968, 1009, 1456, 4167, 13300, 1114, 3961, 1356, 3177, 1233, 21529, 1005, 1322, 1132, 28870, 23153, 1271, 6298, 1009, 9450, 5423, 1005, 10647, 6932, 20, 1124, 6978, 3154, 1447, 5616, 2309, 1953, 71, 1253, 2077, 1005, 2025, 3998, 79, 3572, 1412, 1124, 28656, 1005, 14071, 1271, 14541, 2768, 1312, 1118, 1094, 3961, 16074, 6710, 1072, 4367, 1060, 675, 101, 1263, 1615, 1049, 7970, 102, 18, 1114, 1428, 1058, 29560, 3431, 1026, 5085, 1005, 1026, 7970, 1463, 24044, 13672, 1187, 8040, 1048, 1132, 18252, 1113, 8197, 1327, 1124, 2880, 5773, 4777, 4070, 1253, 21091, 2025, 3998, 1803, 20589, 1031, 2485, 1531, 1049, 4963, 1047, 1, 1150, 55, 32, 1366, 20630, 32, 7672, 1096, 21897, 1009, 9817, 37, 1603, 1160, 9959, 21405, 1118, 7855, 4701, 9788, 1269, 91, 15633, 2266, 1068, 3823, 1094, 3484, 8, 1256, 21694, 1049, 2403, 32, 2878, 1409, 2186, 7485, 10628, 2517, 32, 9817, 14078, 5583, 5228, 25190, 15, 3815, 1665, 1054, 1062, 1209, 4418, 23644, 14676, 1068, 1261, 1094, 18801, 1236, 1068, 1043, 1870, 1054, 4702, 10203, 1044, 8994, 1068, 6949, 1313, 12719, 18, 1571, 1264, 9606, 2071, 1124, 26486, 1009, 1224, 4668, 1009, 11841, 28429, 1068, 16154, 1044, 4868, 20, 2494, 5732, 1009, 8994, 18, 4948, 3788, 1016, 4190, 19876, 5748, 13008, 5796, 31696, 15, 5879, 1043, 9817, 23264, 18, 8589, 4975, 1124, 31088, 1049, 1025, 1301, 20306, 1060, 4930, 4948, 1847, 1044, 2792, 3201, 20, 3735, 1026, 1025, 1301, 20306, 21281, 1048, 9817, 3449, 26576, 9817, 4145, 6256, 1044, 1720, 14105, 20, 1063, 14089, 1049, 8994, 18, 4948, 1058, 20892, 12242, 3830, 1006, 9817, 18, 22722, 1009, 1224, 6280, 1054, 6949, 1313, 12719, 1005, 5649, 1048, 1298, 1178, 1009, 31216, 4948, 1026, 4955, 1213, 8187, 1009, 14584, 1062, 1209, 4418, 23644, 6525, 1434, 13265, 1020, 7821, 1075, 1434, 16108, 1349, 18144, 1435, 1048, 1687, 3012, 1663, 1094, 11044, 2939, 3424, 4490, 7673, 1096, 3037, 1236, 1118, 11965, 1088, 7452, 1044, 31706, 1009, 9097, 13129, 20, 3735, 1026, 8994, 18153, 1007, 1068, 10203, 7331, 1068, 12471, 8671, 18, 1132, 9368, 5671, 2972, 12807, 1006, 10919, 1026, 8994, 18, 1309, 11965, 11700, 10968, 1006, 10610, 1100, 23596, 1435, 1026, 2776, 1667, 2200, 14534, 71, 2125, 1734, 16445, 2343, 1029, 2850, 20195, 1021, 7821, 1965, 18851, 1349, 8487, 1088, 4228, 14018, 1029, 1119, 1577, 15, 1005, 1073, 1081, 1358, 4228, 23601, 6210, 7236, 4138, 1349, 1048, 6989, 71, 1026, 8994, 20, 9817, 9047, 4771, 1130, 1005, 1096, 2920, 1188, 23558, 1778, 20, 1138, 8994, 1058, 18593, 18, 1043, 11965, 11700, 3815, 77, 1157, 1043, 1006, 10899, 1009, 9817, 10966, 1026, 3453, 1060, 11841, 28429, 20, 1387, 26132, 1096, 23662, 1511, 1264, 1005, 1132, 1064, 21867, 1143, 2051, 20, 9817, 2649, 2448, 1068, 5872, 1048, 5806, 4948, 1005, 6525, 1434, 1596, 1808, 1166, 1068, 22967, 1006, 2653, 8598, 1060, 1641, 1184, 4500, 1377, 9817, 5510, 10113, 1006, 5768, 1006, 1094, 16662, 6466, 31143, 3084, 8382, 9838, 1435, 1048, 1264, 11914, 3062, 1646, 22561, 8106, 1132, 1734, 23009, 1072, 3318, 3478, 9817, 6224, 1114, 2573, 19081, 19, 12723, 1005, 3250, 1132, 1064, 21867, 1009, 8994, 28833, 2453, 20, 2343, 1029, 2850, 18310, 1060, 3701, 1112, 1009, 9817, 1009, 1048, 1264, 5417, 2572, 23886, 1068, 1006, 21710, 5126, 1327, 20255, 1402, 1356, 26740, 2979, 21052, 2427, 1089, 1119, 2657, 20195, 1021, 4509, 9497, 6210, 14162, 72, 1349, 1048, 1325, 8898, 1069, 1068, 1419, 9817, 18, 1235, 1288, 88, 5489, 1006, 2306, 1264, 7289, 1159, 25193, 1005, 1064, 2424, 3320, 9817, 1026, 23467, 1184, 1009, 1094, 31221, 1034, 1009, 1646, 1996, 1068, 1848, 1054, 2618, 1057, 7043, 20195, 1021, 15408, 1893, 1048, 3192, 3241, 2281, 1026, 1592, 2271, 1006, 5618, 1009, 9817, 1005, 1026, 7327, 1679, 19356, 1364, 1010, 1048, 1264, 2364, 5672, 1126, 2966, 1006, 3486, 26409, 1009, 9817, 18, 2343, 1029, 2850, 20, 21480, 8049, 1140, 1357, 22330, 1060, 7472, 8564, 1009, 9817, 18, 2343, 1029, 2850, 16875, 1224, 9938, 7317, 22422, 1715, 1257, 1063, 12943, 15753, 1534, 2068, 1072, 4025, 6440, 1049, 2403, 4049, 1056, 1409, 2186, 7485, 1406, 1160, 1837, 20026, 10603, 1009, 2306, 1096, 1026, 21897, 1009, 9817, 20, 1776, 2268, 1096, 16691, 1048, 1026, 19705, 1009, 9817, 18, 1119, 2657, 20195, 3926, 1026, 7289, 1159, 1044, 25193, 1005, 1064, 10299, 1996, 1009, 6501, 4882, 1068, 1848, 1490, 6302, 20195, 1021, 4955, 9817, 1068, 1132, 19356, 1364, 1010, 1048, 1264, 2364, 5672, 1126, 2966, 1026, 3266, 21897, 1009, 9817, 18, 2343, 1029, 2850, 20, 10634, 1298, 1178, 6248, 1188, 1048, 2343, 1029, 2850, 20195, 1021, 1096, 21897, 1009, 9817, 20, 1257, 1257, 2013, 2512, 14632, 1048, 2122, 1098, 2938, 1096, 8846, 1072, 4025, 6440, 1005, 1298, 1160, 1178, 5560, 1760, 1377, 2013, 2481, 1048, 9545, 1184, 2266, 1322, 1006, 2531, 1009, 9817, 1048, 1160 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1837, 2653, 8811, 4106, 1009, 1315, 5378, 3062, 18518, 1309, 1668, 1160, 1096, 1044, 21088, 5126, 1318, 5534, 1046, 1048, 1026, 3066, 1225, 1493, 20176, 1005, 1160, 5434, 4734, 7048, 20, 1257, 1257, 22713, 6773, 2654, 7556, 1058, 1026, 2468, 2357, 1060, 10510, 1096, 10492, 1206, 15574, 20, 1257, 4298, 2484, 32, 1138, 2468, 2357, 1060, 10510, 1096, 1915, 9086, 1566, 1048, 1026, 3142, 1160, 1225, 3192, 1009, 10492, 1006, 3754, 1322, 1026, 3066, 1005, 2793, 12408, 9530, 1069, 1043, 1224, 3513, 1043, 11249, 1257, 1424, 2068, 1114, 2348, 5034, 1049, 3479, 1009, 2649, 9969, 5649, 1161, 9310, 1005, 2468, 1054, 5661, 3002, 14052, 1048, 2237, 10510, 1049, 4168, 1160, 1096, 14433, 2100, 1, 21105, 17212, 1094, 8859, 1009, 1094, 8161, 19198, 1846, 3473, 3583, 1060, 18847, 1377, 1257, 1542, 13399, 1044, 3124, 10041, 1213, 3124, 1004, 1599, 1043, 2068, 1114, 5133, 1049, 12786, 1004, 3567, 28665, 2464, 1026, 1235, 3124, 1976, 1261, 1356, 2444, 1094, 5133, 1054, 3707, 1043, 1026, 3124, 1004, 2270, 7027, 1132, 11145, 3068, 8161, 23278, 1371, 1006, 11145, 5210, 5345, 5024, 3124, 10041, 1976, 9164, 1094, 11228, 1043, 1026, 3124, 1004, 2270, 2034, 28741, 1058, 14360, 1511, 1791, 11145, 1058, 5808, 1046, 1068, 7737, 1026, 5064, 3124, 20, 2858, 2991, 1009, 1094, 11228, 12638, 7732, 30267, 1580, 24514, 20104, 8, 8876, 5201, 15, 2536, 1150, 4736, 91, 1346, 1298, 21178, 1132, 5513, 8, 4593, 1458, 10041, 15, 1175, 7732, 30267, 1580, 1693, 21178, 1132, 5513, 8, 3995, 1618, 1148, 5808, 1140, 1565, 28368, 2837, 1068, 76, 1170, 1018, 2987, 1049, 3124, 20, 7630, 1026, 1235, 3124, 17017, 1976, 2593, 10041, 1213, 3124, 1009, 22926, 1857, 3634, 14804, 23452, 21999, 20751, 18011, 10590, 2289, 1680, 1058, 1026, 1235, 3124, 10041, 5631, 2350, 2266, 18648, 5135, 5157, 2271, 1048, 3241, 3473, 1322, 3131, 1043, 1026, 3124, 6440, 1005, 4836, 2350, 2880, 19945, 1213, 12786, 2185, 4457, 1257, 1134, 1458, 32, 27051, 89, 31039, 1009, 1044, 2417, 1009, 26458, 5214, 1080, 162, 1292, 1391, 10336, 1261, 2558, 1085, 2223, 1257, 1128, 2558, 17525, 3286, 1471, 86, 1085, 89, 1181, 1167, 20, 1257, 30281, 12943, 3133, 1871, 1060, 1008, 2570, 4058, 1261, 2558, 2836, 11561, 1006, 8172, 1049, 2380, 29020, 1343, 3872, 1271, 1801, 2223, 1, 2654, 5192, 1159, 6534, 28626, 2255, 1309, 3074, 3027, 3171, 1068, 1663, 9235, 10971, 13346, 90, 1916, 2800, 3002, 5275, 1006, 2348, 6085, 1658, 5773, 1068, 5275, 1006, 6085, 1009, 9235, 10971, 1096, 3871, 1048, 1299, 3241, 1006, 14716, 1272, 2553, 7043, 31841, 22482, 1006, 1543, 8634, 1043, 1006, 4786, 6097, 4289, 9553, 1026, 1235, 7239, 1005, 1132, 16448, 30865, 1213, 5211, 1060, 1155, 1231, 20, 5024, 13418, 1024, 1976, 1178, 10053, 1072, 2790, 6794, 1009, 9210, 1005, 1456, 1734, 1791, 16448, 3634, 1009, 1698, 1371, 1049, 2143, 2790, 1060, 1155, 1231, 20, 1482, 4702, 5058, 1013, 1371, 1072, 17794, 1060, 1543, 7504, 1802, 1138, 17794, 1184, 6888, 1060, 1543, 8634, 2261, 1945, 1094, 9130, 1712, 1068, 1026, 19462, 2276, 1058, 5058, 1013, 1054, 1044, 17794, 1184, 15073, 1233, 4375, 1048, 1299, 4447, 2648, 20, 21893, 3676, 2059, 3647, 1989, 1168, 2139, 1005, 17794, 1159, 1299, 7842, 1006, 19889, 1005, 21590, 1026, 6460, 17913, 1257, 2358, 1549, 1096, 1044, 7228, 1365, 1044, 6819, 1005, 1044, 3356, 6633, 1138, 6819, 1325, 27011, 1322, 3473, 22325, 11473, 1044, 6737, 1009, 13490, 1060, 4380, 6268, 1685, 1005, 31624, 6750, 1357, 3484, 6268, 1685, 1005, 1049, 28331, 6633, 29343, 1371, 1009, 1048, 1026, 6268, 1577, 7845, 1118, 1048, 1857, 6470, 1006, 1224, 14346, 1138, 12590, 1298, 4347, 2073, 2285, 1009, 10842, 2223, 1138, 6268, 1577, 1976, 4347, 1356, 2444, 2156, 10842, 2223, 1, 1138, 1592, 7856, 37, 4242, 25054, 23043, 1096, 1094, 14955, 1114, 5704, 12832, 2029, 1060, 18705, 1049, 7247, 11843, 7573, 1213, 3821, 1009, 2478, 5952, 11804, 7765, 20, 4242, 25054, 23043, 1096, 1094, 8565, 1114, 5704, 12832, 2029, 1009, 2478, 5952, 11804, 7765, 20, 10590, 4725, 7573, 1213, 3821, 1060, 18705, 1049, 2709, 675, 3313, 2334, 9389, 1124, 15515, 2643, 1026, 1592, 3927, 2270, 5126, 1826, 1657, 6909, 1048, 4242, 25054, 23043, 1096, 1094, 14955, 1114, 5704, 12832, 2029, 1060, 18705, 1049, 7247, 1005, 1325, 5062, 1213, 3821, 1009, 2478, 5952, 11804, 7765, 20, 1, 21105, 7596, 1048, 1006, 3484, 6672, 1068, 1006, 4960, 8701, 1048, 1009, 2632, 5892, 6337, 1034, 6431, 1096, 1150, 1045, 9907, 1406, 6440, 1048, 1132, 2121, 4667, 1327, 1132, 15469, 19933, 1048, 1693, 1058, 27665, 1266, 1006, 5865, 37, 1257, 21567, 12943, 15753, 27452, 1006, 3484, 6672, 1068, 1006, 4960, 8701, 1048, 1009, 2632, 5892, 6337, 1034, 6431, 1160, 1096, 1150, 1045, 9907, 2100, 7630, 2374, 4556, 1048, 1132, 2121, 4667, 1327, 1132, 19933, 1378, 1480, 8639, 1357, 27665, 3131, 1060, 6337, 1411, 1132, 1319, 9907, 1160, 3558, 5254, 1044, 3129, 10745, 3057, 23352, 1257, 1257, 1134, 4000, 1010, 1327, 1132, 15469, 19933, 1048, 2643, 1006, 4008, 1009, 10572, 1132, 15662, 30176, 16625, 9912, 1114, 7331, 1009, 6337, 2275, 5126, 5036, 1616, 3919, 2300, 1157, 19489, 4146, 1048, 5503, 1202, 1006, 1064, 1560, 1342, 1005, 3318, 22227, 1114, 19752, 1026, 1048, 10985, 4279, 6811, 1132, 20387, 21420, 2453, 20, 11149, 2739, 5715, 2625, 1009, 2121, 4667, 1048, 1693, 27665, 1266, 18, 2966, 2121, 4667, 1009, 1190, 4216, 1027, 29947, 2121, 4667, 1190, 4216, 1027, 19966, 1005, 2121, 4667, 1009, 1190, 4216, 1027, 5049, 2275, 1257, 1257, 2231, 83, 1678, 1118, 2143, 6079, 1160, 1327, 8903, 1118, 1224, 4008, 1009, 27665, 1266, 7331, 20, 7630, 6326, 25595, 1044, 3129, 1072, 16784, 4755, 1126, 18010, 18602, 1068, 1734, 19933, 1206, 21181, 1068, 1026, 8566, 1009, 20387, 2328, 1009, 1224, 1028, 1407, 1140, 1009, 4200, 12223, 1857, 1160, 1826, 5232, 11464, 1114, 27665, 3131, 1009, 7331, 1009, 6337, 2275, 1257, 1257, 10634, 1006, 18607, 1009, 1048, 1150, 19800, 7723, 1327, 1132, 19933, 1048, 1009, 2632, 11505, 1006, 1871, 1160, 1096, 1760, 1377, 2013, 2512, 4966, 1132, 11409, 1009, 2625, 19933, 1054, 16784, 12441, 1005, 2071, 2266, 31555, 1213, 6679, 1006, 8155, 1322, 1857, 2100, 1, 10628, 2335, 1898, 71, 5576, 1060, 3780, 1096, 14837, 1322, 1132, 23013, 7072, 1271, 6978, 1005, 23810, 1048, 20851, 1412, 9733, 1193, 1724, 1046, 1026, 25199, 1060, 3757, 6932, 8744, 1294, 4679, 2864, 1118, 9209, 1049, 1531, 1204, 1009, 13028, 1054, 7450, 12568, 4519, 10124, 1049, 3821, 1049, 2251, 18, 1184, 10343, 1114, 18776, 12257, 1136, 1413, 9213, 12738, 1324, 1054, 3687, 5240, 12759, 31701, 26773, 5949, 1006, 2323, 1060, 17314, 1009, 17622, 1132, 11872, 8579, 16205, 7697, 1166, 1118, 3997, 1005, 11277, 1009, 6537, 1094, 4946, 13177, 1988, 5972, 9080, 1005, 8421, 3234, 3361, 1046, 4203, 9790, 1463, 6296, 12568, 20, 2271, 7693, 1124, 3638, 26763, 28846, 1118, 24729, 4988, 1005, 8879, 8579, 16205, 2643, 4099, 1031, 2408, 1094, 13507, 1463, 2688, 5360, 1202, 1224, 2042, 1005, 5431, 1046, 1569, 14766, 2706, 3150, 1006, 5576, 1060, 3780, 1195, 20589, 3034, 10707, 1026, 4025, 1005, 1026, 6490, 1187, 16847, 1365, 1132, 1953, 71, 1253, 21091, 2025, 3998, 79, 1005, 1026, 2999, 20497, 1890, 1124, 7082, 9790, 1005, 1620, 9253, 1006, 3649, 1009, 5360, 11966, 5431, 1016, 2309, 24875, 4440, 2730, 4025, 1009, 12449, 1571, 1837, 13605, 1009, 22641, 1005, 17479, 1009, 7118, 1890, 1006, 3780, 1195, 2481, 9253, 1318, 1132, 24500, 1060, 6651, 9662, 1060, 6477, 1060, 3757, 22411, 30334, 1371, 4966, 1132, 18956, 1009, 17898, 1114, 10091, 1009, 1080, 16488, 26159, 15, 1048, 4352, 1412, 1006, 5286, 1187, 7880, 1531, 8390, 12851, 1114, 3649, 1005, 5649, 1161, 1009, 2896, 1436, 1953, 71, 1253, 2077, 1005, 2025, 3998, 3158, 3530, 5684, 27249, 1124, 12388, 1009, 17549, 31323, 1213, 1048, 1058, 2572, 16689, 1159, 18956, 1009, 4318, 1953, 71, 1253, 2077, 1005, 2025, 3998, 3158, 30334, 1371, 12746, 3530, 5684, 16034, 1166, 2691, 1569, 3361, 6481, 1114, 5978, 1005, 23968, 1009, 1456, 4167, 13300, 1114, 3961, 1356, 3177, 1233, 21529, 1005, 1322, 1132, 28870, 23153, 1271, 6298, 1009, 9450, 5423, 1005, 10647, 6932, 20, 1124, 6978, 3154, 1447, 5616, 2309, 1953, 71, 1253, 2077, 1005, 2025, 3998, 79, 3572, 1412, 1124, 28656, 1005, 14071, 1271, 14541, 2768, 1312, 1118, 1094, 3961, 16074, 6710, 1072, 4367, 1060, 675, 101, 1263, 1615, 1049, 7970, 102, 18, 1114, 1428, 1058, 29560, 3431, 1026, 5085, 1005, 1026, 7970, 1463, 24044, 13672, 1187, 8040, 1048, 1132, 18252, 1113, 8197, 1327, 1124, 2880, 5773, 4777, 4070, 1253, 21091, 2025, 3998, 1803, 20589, 1031, 2485, 1531, 1049, 4963, 1047, 1, 1150, 55, 32, 1366, 20630, 32, 7672, 1096, 21897, 1009, 9817, 37, 1603, 1160, 9959, 21405, 1118, 7855, 4701, 9788, 1269, 91, 15633, 2266, 1068, 3823, 1094, 3484, 8, 1256, 21694, 1049, 2403, 32, 2878, 1409, 2186, 7485, 10628, 2517, 32, 9817, 14078, 5583, 5228, 25190, 15, 3815, 1665, 1054, 1062, 1209, 4418, 23644, 14676, 1068, 1261, 1094, 18801, 1236, 1068, 1043, 1870, 1054, 4702, 10203, 1044, 8994, 1068, 6949, 1313, 12719, 18, 1571, 1264, 9606, 2071, 1124, 26486, 1009, 1224, 4668, 1009, 11841, 28429, 1068, 16154, 1044, 4868, 20, 2494, 5732, 1009, 8994, 18, 4948, 3788, 1016, 4190, 19876, 5748, 13008, 5796, 31696, 15, 5879, 1043, 9817, 23264, 18, 8589, 4975, 1124, 31088, 1049, 1025, 1301, 20306, 1060, 4930, 4948, 1847, 1044, 2792, 3201, 20, 3735, 1026, 1025, 1301, 20306, 21281, 1048, 9817, 3449, 26576, 9817, 4145, 6256, 1044, 1720, 14105, 20, 1063, 14089, 1049, 8994, 18, 4948, 1058, 20892, 12242, 3830, 1006, 9817, 18, 22722, 1009, 1224, 6280, 1054, 6949, 1313, 12719, 1005, 5649, 1048, 1298, 1178, 1009, 31216, 4948, 1026, 4955, 1213, 8187, 1009, 14584, 1062, 1209, 4418, 23644, 6525, 1434, 13265, 1020, 7821, 1075, 1434, 16108, 1349, 18144, 1435, 1048, 1687, 3012, 1663, 1094, 11044, 2939, 3424, 4490, 7673, 1096, 3037, 1236, 1118, 11965, 1088, 7452, 1044, 31706, 1009, 9097, 13129, 20, 3735, 1026, 8994, 18153, 1007, 1068, 10203, 7331, 1068, 12471, 8671, 18, 1132, 9368, 5671, 2972, 12807, 1006, 10919, 1026, 8994, 18, 1309, 11965, 11700, 10968, 1006, 10610, 1100, 23596, 1435, 1026, 2776, 1667, 2200, 14534, 71, 2125, 1734, 16445, 2343, 1029, 2850, 20195, 1021, 7821, 1965, 18851, 1349, 8487, 1088, 4228, 14018, 1029, 1119, 1577, 15, 1005, 1073, 1081, 1358, 4228, 23601, 6210, 7236, 4138, 1349, 1048, 6989, 71, 1026, 8994, 20, 9817, 9047, 4771, 1130, 1005, 1096, 2920, 1188, 23558, 1778, 20, 1138, 8994, 1058, 18593, 18, 1043, 11965, 11700, 3815, 77, 1157, 1043, 1006, 10899, 1009, 9817, 10966, 1026, 3453, 1060, 11841, 28429, 20, 1387, 26132, 1096, 23662, 1511, 1264, 1005, 1132, 1064, 21867, 1143, 2051, 20, 9817, 2649, 2448, 1068, 5872, 1048, 5806, 4948, 1005, 6525, 1434, 1596, 1808, 1166, 1068, 22967, 1006, 2653, 8598, 1060, 1641, 1184, 4500, 1377, 9817, 5510, 10113, 1006, 5768, 1006, 1094, 16662, 6466, 31143, 3084, 8382, 9838, 1435, 1048, 1264, 11914, 3062, 1646, 22561, 8106, 1132, 1734, 23009, 1072, 3318, 3478, 9817, 6224, 1114, 2573, 19081, 19, 12723, 1005, 3250, 1132, 1064, 21867, 1009, 8994, 28833, 2453, 20, 2343, 1029, 2850, 18310, 1060, 3701, 1112, 1009, 9817, 1009, 1048, 1264, 5417, 2572, 23886, 1068, 1006, 21710, 5126, 1327, 20255, 1402, 1356, 26740, 2979, 21052, 2427, 1089, 1119, 2657, 20195, 1021, 4509, 9497, 6210, 14162, 72, 1349, 1048, 1325, 8898, 1069, 1068, 1419, 9817, 18, 1235, 1288, 88, 5489, 1006, 2306, 1264, 7289, 1159, 25193, 1005, 1064, 2424, 3320, 9817, 1026, 23467, 1184, 1009, 1094, 31221, 1034, 1009, 1646, 1996, 1068, 1848, 1054, 2618, 1057, 7043, 20195, 1021, 15408, 1893, 1048, 3192, 3241, 2281, 1026, 1592, 2271, 1006, 5618, 1009, 9817, 1005, 1026, 7327, 1679, 19356, 1364, 1010, 1048, 1264, 2364, 5672, 1126, 2966, 1006, 3486, 26409, 1009, 9817, 18, 2343, 1029, 2850, 20, 21480, 8049, 1140, 1357, 22330, 1060, 7472, 8564, 1009, 9817, 18, 2343, 1029, 2850, 16875, 1224, 9938, 7317, 22422, 1715, 1257, 1063, 12943, 15753, 1534, 2068, 1072, 4025, 6440, 1049, 2403, 4049, 1056, 1409, 2186, 7485, 1406, 1160, 1837, 20026, 10603, 1009, 2306, 1096, 1026, 21897, 1009, 9817, 20, 1776, 2268, 1096, 16691, 1048, 1026, 19705, 1009, 9817, 18, 1119, 2657, 20195, 3926, 1026, 7289, 1159, 1044, 25193, 1005, 1064, 10299, 1996, 1009, 6501, 4882, 1068, 1848, 1490, 6302, 20195, 1021, 4955, 9817, 1068, 1132, 19356, 1364, 1010, 1048, 1264, 2364, 5672, 1126, 2966, 1026, 3266, 21897, 1009, 9817, 18, 2343, 1029, 2850, 20, 10634, 1298, 1178, 6248, 1188, 1048, 2343, 1029, 2850, 20195, 1021, 1096, 21897, 1009, 9817, 20, 1257, 1257, 2013, 2512, 14632, 1048, 2122, 1098, 2938, 1096, 8846, 1072, 4025, 6440, 1005, 1298, 1160, 1178, 5560, 1760, 1377, 2013, 2481, 1048, 9545, 1184, 2266, 1322, 1006, 2531, 1009, 9817, 1048, 1160 ]

[ 1006, 8789, 6112, 18, 7311, 9405, 18437, 1444, 8, 1195, 1026, 1422, 0, 6096, 1048, 3661, 1184, 8982, 89, 1009, 1224, 5643, 1658, 5187, 17234, 1132, 8982, 89, 12499, 1072, 1784, 1043, 1184, 1009, 9160, 25, 2744, 1054, 8683, 10151, 1166, 1357, 17527, 16769, 20, 3126, 6342, 1356, 2788, 6123, 51, 1093, 13812, 1044, 2859, 9485, 1322, 1124, 2256, 6258, 1048, 6011, 1712, 5802, 1072, 3099, 19485, 14826, 18733, 1571, 1006, 2423, 1009, 4429, 1943, 14237, 1560, 75, 4715, 1006, 4886, 3621, 20, 2858, 13769, 1049, 2788, 17702, 12065, 4277, 1124, 6258, 1184, 1009, 2629, 1312, 1049, 6191, 1009, 22332, 1187, 5015, 1049, 2788, 1054, 7624, 1005, 7311, 9405, 18437, 1444, 8, 6133, 1054, 1422, 0, 18, 10663, 1533, 9585, 14116, 1409, 6447, 1253, 6171, 10971, 1020, 1248, 5469, 2053, 26758, 1054, 5966, 1043, 1006, 1144, 2732, 8889, 1106, 20917, 2521, 1132, 4970, 2147, 1271, 1782, 6258, 1184, 4551, 1312, 1114, 5353, 1187, 4620, 1365, 9932, 1009, 4483, 1005, 9864, 1009, 3837, 1005, 7311, 9405, 18437, 1444, 8, 1195, 1026, 1422, 0, 10053, 1043, 1184, 1009, 1307, 2414, 31, 1442, 2744, 1009, 2272, 4993, 3242, 16709, 9423, 2965, 1396, 5775, 1005, 6433, 9145, 9405, 18437, 1444, 4334, 2459, 31086, 28295, 15, 13382, 5478, 6096, 1096, 3330, 1043, 1006, 28655, 1060, 19925, 16779, 13, 1082, 3556, 1005, 1318, 6580, 1072, 18732, 1026, 1428, 1195, 3941, 1054, 3734, 1009, 3268, 1009, 18002, 1063, 8902, 1096, 1009, 2397, 81, 1016, 5121, 4954, 1097, 1922, 31086, 1406, 1163, 6792, 23699, 1005, 15914, 81, 12367, 1144, 3243, 1034, 1005, 4429, 1943, 14237, 1560, 1802, 1082, 3556, 1973, 1048, 1927, 6479, 4524, 1043, 4429, 1943, 18, 1309, 2598, 2569, 5741, 1118, 1160, 1601, 20725, 1454, 4424, 1309, 1006, 19925, 1927, 16801, 1048, 1006, 15849, 1516, 12067, 1377, 1084, 16512, 6909, 1048, 16779, 13, 23725, 1060, 4840, 1009, 4524, 1043, 1006, 31896, 1160, 5692, 15378, 1049, 4796, 1006, 1048, 1927, 3206, 1051, 2433, 18, 1005, 21281, 32, 11363, 9133, 1044, 3146, 1054, 6544, 1060, 8322, 1005, 2199, 85, 1072, 1592, 1225, 1377, 5841, 5187, 1005, 1006, 3069, 19844, 1053, 1009, 7311, 9405, 18437, 1444, 8, 9686, 1463, 14381, 1060, 9987, 14434, 1060, 17273, 1114, 3621, 9216, 0, 1114, 7398, 6749, 13125, 5540, 9987, 46, 1041, 3114, 1005, 1114, 3621, 3939, 0, 1072, 8397, 1066, 93, 7398, 6749, 9987, 46, 1041, 3114, 2893, 2049, 6096, 1837, 24549, 1018, 7878, 1054, 19626, 14152, 19844, 2334, 1064, 1451, 4906, 28475, 1803, 4933, 1066, 1005, 675, 1586, 1529, 14901, 1063, 16818, 1416, 3987, 2423, 2793, 1118, 2612, 1060, 4150, 17098, 30204, 2662, 71, 1005, 12383, 18851, 20545, 24841, 1138, 4449, 20397, 7311, 9405, 18437, 1444, 4334, 2459, 31086, 28295, 14194, 1195, 10612, 1068, 1026, 16052, 2034, 1034, 11563, 1009, 3917, 1114, 4783, 1009, 3460, 19165, 10795, 5048, 1063, 3069, 1195, 20051, 1318, 1114, 8547, 9759, 1060, 2700, 2963, 22361, 3351, 1113, 3059, 1121, 1049, 6096, 13041, 18437, 1444, 1110, 64, 10975, 13521, 31281, 7650, 3042, 1009, 7905, 1006, 3688, 9692, 1009, 3146, 6333, 2079, 10975, 13521, 2521, 1044, 31281, 1060, 5187, 7311, 9405, 18437, 1444, 8, 1060, 4429, 1943, 14237, 1560, 1324, 1048, 1195, 3941, 1072, 3077, 6738, 1009, 16440, 95, 4042, 14722, 1068, 1422, 1009, 3113, 1072, 14241, 1005, 1068, 1799, 1009, 3049, 1072, 7118, 1138, 3957, 5923, 2521, 1044, 18732, 1493, 7155, 1213, 1049, 3462, 31010, 8696, 1005, 7707, 30924, 1005, 10694, 6108, 1318, 1257, 6454, 1009, 16002, 1043, 1184, 8982, 89, 21929, 3296, 2310, 1257, 7849, 10401, 16315, 1118, 4429, 1943, 14237, 1560, 75, 24504, 1009, 4187, 12806, 18892, 1118, 4942, 31086, 12806, 21646, 1118, 4429, 1943, 14237, 1560, 75, 12806, 1009, 1865, 7204, 12806, 1009, 1865, 28062, 12806, 1043, 1015, 13821, 12806, 21646, 1118, 4942, 31086, 1, 1063, 10173, 14635, 1009, 1313, 28957, 6792, 3840, 4098, 7861, 29921, 5035, 1118, 16034, 1024, 1094, 9821, 2836, 15633, 8200, 15298, 1213, 31451, 5476, 26378, 1847, 14857, 1140, 10951, 1054, 19762, 30428, 1040, 1072, 1720, 11259, 2459, 1313, 28957, 6792, 8999, 1132, 9240, 1054, 1307, 19762, 1060, 2921, 2531, 1005, 1026, 4942, 29903, 7861, 1006, 1224, 2869, 1043, 1026, 31451, 5476, 1842, 3313, 1203, 4163, 3367, 6117, 4955, 22183, 16558, 1005, 1009, 27466, 1071, 1252, 4541, 26432, 7300, 0, 1349, 1008, 1226, 7504, 15064, 1034, 7610, 3053, 11690, 1009, 1008, 1226, 1022, 5268, 1349, 14674, 96, 2222, 1114, 5913, 11275, 7591, 4703, 5247, 18471, 1009, 2468, 1008, 23453, 86, 1154, 0, 15, 1005, 20633, 23153, 20445, 4021, 1010, 1071, 22155, 1192, 1532, 1463, 1102, 1005, 28426, 1525, 1074, 15, 2893, 1034, 27315, 1257, 4878, 2192, 1009, 15851, 1054, 12667, 11122, 25780, 1060, 4809, 1005, 1049, 3419, 4504, 1157, 1026, 30128, 3300, 5361, 3772, 1485, 1303, 13497, 6572, 1212, 1526, 1009, 1860, 1814, 24088, 71, 7100, 1184, 6907, 1005, 1043, 1184, 3770, 1096, 1026, 1009, 14896, 1027, 1044, 72, 1061, 2867, 20835, 10778, 1184, 12606, 1026, 26831, 4289, 4029, 1124, 12110, 1009, 7744, 5991, 20301, 1371, 1026, 26831, 4289, 1096, 3330, 1044, 16232, 1571, 1327, 4246, 3500, 25236, 1048, 2384, 5254, 1006, 3450, 1009, 1834, 1049, 8590, 1159, 9821, 1185, 2843, 1075, 3097, 9277, 1031, 168, 16931, 1008, 1226, 1022, 5268, 5219, 1026, 6980, 29283, 2203, 2270, 2893, 85, 6032, 3300, 13093, 1, 16921, 1020, 96, 15225, 1040, 17610, 16921, 11807, 18, 19490, 32, 3270, 1020, 27427, 1096, 1094, 1641, 1072, 3709, 1060, 30803, 1114, 2835, 29655, 1060, 3279, 2689, 21043, 9409, 1118, 1094, 2236, 1009, 1675, 2534, 8121, 2718, 0, 18, 1043, 3114, 0, 6507, 24, 13409, 2277, 1132, 30637, 1009, 7267, 1043, 1094, 7984, 1009, 1083, 11560, 2525, 27, 13259, 0, 20, 25563, 1140, 1726, 12965, 1049, 4489, 25816, 1925, 1114, 1751, 15453, 1060, 2835, 29655, 1060, 3279, 30803, 1006, 1641, 1871, 1094, 1125, 8049, 1112, 1043, 1124, 4761, 5771, 2447, 1009, 1138, 12998, 28149, 1313, 2732, 81, 1568, 1078, 11986, 1005, 7070, 16507, 3448, 11224, 1197, 1658, 1641, 1096, 1044, 2512, 3709, 11747, 1005, 4678, 1060, 10909, 1043, 2739, 16504, 4412, 30752, 1028, 11628, 2013, 1318, 1006, 4799, 1060, 10314, 1009, 1008, 6436, 3270, 1020, 1034, 1005, 1044, 1187, 11511, 8426, 1009, 3374, 4114, 5801, 4395, 82, 6897, 2624, 16921, 1020, 96, 1096, 3806, 1009, 7349, 1184, 5530, 1641, 1060, 15749, 8, 3121, 1006, 1094, 20026, 1009, 1073, 90, 1078, 1040, 1418, 1060, 7064, 1009, 1094, 1641, 3270, 1020, 1034, 1048, 1836, 11843, 1114, 26492, 1049, 18775, 7628, 3144, 7630, 1620, 1160, 1058, 3241, 1006, 5391, 1009, 1048, 1026, 3709, 1060, 1641, 3241, 2281, 3050, 1069, 1072, 2457, 4548, 2653, 6081, 1187, 5635, 17185, 1114, 14577, 15652, 1026, 3124, 1009, 1048, 1026, 2386, 1178, 1785, 1009, 10834, 1068, 1124, 2519, 92, 5817, 5128, 1016, 1048, 1058, 3580, 1648, 1068, 1026, 1570, 1106, 25271, 1221, 1658, 11845, 16921, 1020, 96, 16752, 1493, 2033, 22672, 8916, 1072, 675, 1159, 1044, 4657, 22579, 1118, 1044, 6414, 1045, 1027, 1005, 29255, 1094, 4671, 7389, 18083, 1138, 1720, 21930, 1049, 5497, 1116, 17792, 6853, 1953, 71, 208, 18, 3901, 1077, 31821, 1577, 1206, 17105, 27270, 1482, 16270, 2443, 675, 11032, 1006, 1641, 1005, 1006, 1455, 1017, 1266, 1079, 1213, 1235, 7276, 1642, 1302, 3424, 4333, 2224, 10301, 1005, 2224, 4160, 1026, 21813, 3661, 1132, 28106, 1009, 1641, 1005, 4108, 2845, 1006, 10596, 9414, 1271, 1184, 27714, 4761, 1060, 3279, 30803, 1890, 1006, 7288, 20764, 1642, 1302, 1029, 1060, 15749, 1687, 14070, 1044, 1761, 73, 1069, 16494, 1960, 1069, 1118, 1044, 11223, 2386, 1060, 17330, 1073, 1242, 8923, 4733, 1006, 3332, 2484, 1060, 30803, 1006, 1641, 5749, 1044, 12479, 3709, 1009, 2438, 1045, 1416, 1005, 2935, 1009, 19752, 1680, 1159, 1044, 1187, 11511, 9790, 1060, 2689, 21043, 1138, 3090, 10293, 1060, 2413, 1195, 23529, 2408, 1118, 1044, 1807, 2285, 1009, 16576, 2811, 21956, 14372, 17440, 5600, 1048, 1058, 25797, 1054, 16921, 1020, 96, 1005, 1072, 1235, 31910, 1986, 9507, 2281, 3354, 29452, 1060, 675, 2695, 1725, 2275, 1180, 3293, 1093, 1318, 1058, 25797, 1054, 16921, 1020, 5121, 1118, 2922, 1009, 2475, 5235, 2286, 2224, 10703, 1132, 28106, 1009, 1641, 1596, 24602, 1118, 11472, 1020, 22732, 3801, 1060, 15749, 1005, 1054, 2523, 3502, 1687, 1058, 4312, 1006, 3861, 1060, 5033, 1009, 16921, 1020, 5121, 1094, 1271, 2835, 1070, 1085, 1242, 675, 1060, 30803, 1356, 4026, 2124, 2858, 2512, 3709, 1009, 27754, 16921, 1020, 96, 1836, 4725, 1072, 3709, 1060, 2689, 21043, 14276, 1006, 1224, 7633, 3946, 1961, 1054, 2523, 7157, 1026, 4026, 2968, 1053, 2060, 6297, 12132, 3062, 1026, 675, 12196, 1009, 5545, 1043, 1132, 9229, 1689, 2899, 1088, 1550, 5345, 2800, 1094, 1641, 12782, 1687, 4713, 3647, 2653, 1009, 1456, 28106, 14396, 1005, 1054, 2322, 3876, 0, 1036, 2017, 9795, 1060, 8592, 1195, 8354, 20, 4685, 1195, 3062, 1048, 1026, 4026, 675, 1325, 31002, 2286, 1984, 7678, 1132, 22238, 26353, 1016, 1596, 21782, 1495, 16921, 1020, 96, 1005, 1054, 1984, 5205, 1857, 5977, 9446, 1044, 22541, 22238, 3862, 1076, 1114, 4930, 1044, 1187, 1184, 4412, 11511, 1009, 4946, 1060, 15749, 13284, 15816, 11938, 1043, 1026, 4125, 1049, 1557, 1006, 4493, 1009, 16921, 1020, 96, 3128, 11328, 1005, 1006, 1224, 3621, 1195, 10567, 1357, 1641, 26802, 1009, 1073, 2234, 1925, 209, 2286, 2128, 11748, 1006, 1641, 1195, 3547, 1236, 1118, 1044, 13866, 1048, 31600, 1006, 3364, 1271, 20419, 1060, 1224, 1751, 5046, 20, 1776, 1901, 7715, 9952, 1371, 1006, 2750, 1386, 1346, 1060, 15749, 1005, 1006, 1641, 1195, 8518, 1140, 1356, 4037, 1060, 2677, 5123, 2275, 1482, 8570, 23, 16579, 80, 6981, 3418, 22664, 1093, 208, 11503, 11986, 17840, 1114, 1641, 1044, 22091, 1044, 1187, 4181, 14096, 1209, 3045, 1452, 1060, 2236, 2286, 8570, 28, 16921, 1020, 96, 3475, 1006, 1663, 1751, 1049, 24530, 1069, 1009, 29879, 23948, 20, 5845, 1006, 13321, 1060, 7500, 1118, 18988, 1627, 1195, 12660, 1114, 1641, 1026, 16426, 1009, 16921, 11807, 1365, 1006, 7500, 1005, 1006, 2677, 19990, 1054, 21195, 2394, 4504, 1157, 1048, 1006, 2677, 19990, 9251, 1751, 2364, 1049, 2790, 1187, 15099, 12561, 1060, 9348, 1009, 25200, 7377, 1241, 30342, 16921, 1020, 96, 1195, 8518, 1140, 1357, 7500, 13693, 14252, 1063, 19880, 1043, 1006, 7858, 1060, 2677, 19990, 8362, 20420, 1026, 3090, 10293, 1060, 1641, 1005, 16921, 1020, 5121, 3806, 1054, 12057, 1009, 675, 354, 372, 383, 380, 379, 18, 2845, 1006, 14072, 2653, 7792, 1229, 1160, 1657, 1060, 30803, 1309, 1318, 1187, 6780, 14597, 1005, 1009, 2693, 1006, 1751, 1049, 15588, 12057, 20, 1482, 4658, 24, 16921, 1020, 96, 1195, 15298, 1006, 29879, 23948, 1005, 675, 207, 1628, 232, 1118, 1094, 28341, 12561, 1049, 2738, 1060, 8020, 3578, 12126, 1006, 19880, 1043, 1006, 7858, 1176, 2789, 2860, 1195, 13105, 18751, 1068, 1006, 4930, 1847, 1094, 1271, 6316, 4761, 1006, 4207, 5263, 6397, 10602, 23071, 4567, 1009, 1094, 2700, 1009, 10016, 1114, 5105, 2469, 1026, 7433, 7719, 20103, 1079, 1006, 1641, 1043, 1006, 13645, 19422, 5845, 1124, 29521, 12697, 1048, 4217, 1202, 1009, 1779, 1495, 3295, 1009, 3383, 1009, 7976, 2471, 1006, 1641, 1195, 27752, 3179, 1048, 6255, 12561, 1009, 6224, 1656, 1114, 4930, 1124, 6048, 31360, 5672, 1312, 1118, 4913, 9565, 2804, 1093, 5378, 5822, 1412, 1294, 12108, 1006, 3124, 1060, 1641, 1261, 2281, 10403, 1236, 1356, 7433, 12057, 20, 14558, 4031, 1596, 12478, 1005, 1846, 4498, 1229, 2097, 1048, 1006, 1641, 1516, 31154, 3234, 1005, 1132, 4231, 13695, 16478, 1554, 16324, 1675, 3218, 2621, 4231, 1054, 7976, 2471, 1657, 1487, 6435, 24381, 1114, 1641, 1072, 1901, 20185, 11938, 1566, 1072, 2822, 1060, 3279, 3578, 18, 1493, 1049, 3709, 1060, 1641, 2284, 2281, 10789, 2876, 1005, 2653, 1187, 7739, 8631, 1596, 2908, 1402, 2470, 3890, 1006, 1224, 1641, 12561, 1060, 3781, 1005, 1060, 14619, 1076, 1060, 3279, 15749, 1967, 3430, 9172, 1442, 1349, 16921, 1020, 96, 5749, 12721, 1184, 1094, 5326, 1060, 8636, 5007, 1060, 2689, 21043, 1063, 22321, 6895, 1005, 1054, 22871, 0, 1036, 2017, 7538, 1060, 8592, 1195, 16228, 1658, 10750, 16718, 1006, 1641, 14136, 2916, 1009, 1799, 3537, 2621, 13515, 4733, 1026, 2738, 1060, 3578, 5722, 1219, 1525, 1060, 15749, 1009, 30488, 1044, 8209, 1588, 13482, 19, 3265, 83, 1577, 1048, 1614, 5740, 10116, 1233, 6074, 3578, 12126, 1006, 19880, 1060, 7858, 2033, 3205, 1094, 1472, 8435, 1178, 13105, 1209, 1667, 7630, 1006, 1641, 3241, 2281, 10567, 1357, 6926, 12789, 25624, 1767, 3179, 1048, 15000, 12752, 1005, 1305, 4805, 4811, 4195, 1006, 1641, 1195, 5232, 8518, 1140, 1233, 4149, 19939, 7407, 7766, 1026, 1852, 1060, 6074, 3578, 3747, 6151, 2595, 6435, 1588, 4340, 1018, 1005, 14446, 1060, 1641, 1005, 9021, 1056, 1242, 1596, 4498, 1554, 3423, 2668, 1158, 6435, 16938, 4290, 1596, 9778, 1206, 15923, 1068, 1006, 4149, 1159, 2011, 8061, 85 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1006, 8789, 6112, 18, 7311, 9405, 18437, 1444, 8, 1195, 1026, 1422, 0, 6096, 1048, 3661, 1184, 8982, 89, 1009, 1224, 5643, 1658, 5187, 17234, 1132, 8982, 89, 12499, 1072, 1784, 1043, 1184, 1009, 9160, 25, 2744, 1054, 8683, 10151, 1166, 1357, 17527, 16769, 20, 3126, 6342, 1356, 2788, 6123, 51, 1093, 13812, 1044, 2859, 9485, 1322, 1124, 2256, 6258, 1048, 6011, 1712, 5802, 1072, 3099, 19485, 14826, 18733, 1571, 1006, 2423, 1009, 4429, 1943, 14237, 1560, 75, 4715, 1006, 4886, 3621, 20, 2858, 13769, 1049, 2788, 17702, 12065, 4277, 1124, 6258, 1184, 1009, 2629, 1312, 1049, 6191, 1009, 22332, 1187, 5015, 1049, 2788, 1054, 7624, 1005, 7311, 9405, 18437, 1444, 8, 6133, 1054, 1422, 0, 18, 10663, 1533, 9585, 14116, 1409, 6447, 1253, 6171, 10971, 1020, 1248, 5469, 2053, 26758, 1054, 5966, 1043, 1006, 1144, 2732, 8889, 1106, 20917, 2521, 1132, 4970, 2147, 1271, 1782, 6258, 1184, 4551, 1312, 1114, 5353, 1187, 4620, 1365, 9932, 1009, 4483, 1005, 9864, 1009, 3837, 1005, 7311, 9405, 18437, 1444, 8, 1195, 1026, 1422, 0, 10053, 1043, 1184, 1009, 1307, 2414, 31, 1442, 2744, 1009, 2272, 4993, 3242, 16709, 9423, 2965, 1396, 5775, 1005, 6433, 9145, 9405, 18437, 1444, 4334, 2459, 31086, 28295, 15, 13382, 5478, 6096, 1096, 3330, 1043, 1006, 28655, 1060, 19925, 16779, 13, 1082, 3556, 1005, 1318, 6580, 1072, 18732, 1026, 1428, 1195, 3941, 1054, 3734, 1009, 3268, 1009, 18002, 1063, 8902, 1096, 1009, 2397, 81, 1016, 5121, 4954, 1097, 1922, 31086, 1406, 1163, 6792, 23699, 1005, 15914, 81, 12367, 1144, 3243, 1034, 1005, 4429, 1943, 14237, 1560, 1802, 1082, 3556, 1973, 1048, 1927, 6479, 4524, 1043, 4429, 1943, 18, 1309, 2598, 2569, 5741, 1118, 1160, 1601, 20725, 1454, 4424, 1309, 1006, 19925, 1927, 16801, 1048, 1006, 15849, 1516, 12067, 1377, 1084, 16512, 6909, 1048, 16779, 13, 23725, 1060, 4840, 1009, 4524, 1043, 1006, 31896, 1160, 5692, 15378, 1049, 4796, 1006, 1048, 1927, 3206, 1051, 2433, 18, 1005, 21281, 32, 11363, 9133, 1044, 3146, 1054, 6544, 1060, 8322, 1005, 2199, 85, 1072, 1592, 1225, 1377, 5841, 5187, 1005, 1006, 3069, 19844, 1053, 1009, 7311, 9405, 18437, 1444, 8, 9686, 1463, 14381, 1060, 9987, 14434, 1060, 17273, 1114, 3621, 9216, 0, 1114, 7398, 6749, 13125, 5540, 9987, 46, 1041, 3114, 1005, 1114, 3621, 3939, 0, 1072, 8397, 1066, 93, 7398, 6749, 9987, 46, 1041, 3114, 2893, 2049, 6096, 1837, 24549, 1018, 7878, 1054, 19626, 14152, 19844, 2334, 1064, 1451, 4906, 28475, 1803, 4933, 1066, 1005, 675, 1586, 1529, 14901, 1063, 16818, 1416, 3987, 2423, 2793, 1118, 2612, 1060, 4150, 17098, 30204, 2662, 71, 1005, 12383, 18851, 20545, 24841, 1138, 4449, 20397, 7311, 9405, 18437, 1444, 4334, 2459, 31086, 28295, 14194, 1195, 10612, 1068, 1026, 16052, 2034, 1034, 11563, 1009, 3917, 1114, 4783, 1009, 3460, 19165, 10795, 5048, 1063, 3069, 1195, 20051, 1318, 1114, 8547, 9759, 1060, 2700, 2963, 22361, 3351, 1113, 3059, 1121, 1049, 6096, 13041, 18437, 1444, 1110, 64, 10975, 13521, 31281, 7650, 3042, 1009, 7905, 1006, 3688, 9692, 1009, 3146, 6333, 2079, 10975, 13521, 2521, 1044, 31281, 1060, 5187, 7311, 9405, 18437, 1444, 8, 1060, 4429, 1943, 14237, 1560, 1324, 1048, 1195, 3941, 1072, 3077, 6738, 1009, 16440, 95, 4042, 14722, 1068, 1422, 1009, 3113, 1072, 14241, 1005, 1068, 1799, 1009, 3049, 1072, 7118, 1138, 3957, 5923, 2521, 1044, 18732, 1493, 7155, 1213, 1049, 3462, 31010, 8696, 1005, 7707, 30924, 1005, 10694, 6108, 1318, 1257, 6454, 1009, 16002, 1043, 1184, 8982, 89, 21929, 3296, 2310, 1257, 7849, 10401, 16315, 1118, 4429, 1943, 14237, 1560, 75, 24504, 1009, 4187, 12806, 18892, 1118, 4942, 31086, 12806, 21646, 1118, 4429, 1943, 14237, 1560, 75, 12806, 1009, 1865, 7204, 12806, 1009, 1865, 28062, 12806, 1043, 1015, 13821, 12806, 21646, 1118, 4942, 31086, 1, 1063, 10173, 14635, 1009, 1313, 28957, 6792, 3840, 4098, 7861, 29921, 5035, 1118, 16034, 1024, 1094, 9821, 2836, 15633, 8200, 15298, 1213, 31451, 5476, 26378, 1847, 14857, 1140, 10951, 1054, 19762, 30428, 1040, 1072, 1720, 11259, 2459, 1313, 28957, 6792, 8999, 1132, 9240, 1054, 1307, 19762, 1060, 2921, 2531, 1005, 1026, 4942, 29903, 7861, 1006, 1224, 2869, 1043, 1026, 31451, 5476, 1842, 3313, 1203, 4163, 3367, 6117, 4955, 22183, 16558, 1005, 1009, 27466, 1071, 1252, 4541, 26432, 7300, 0, 1349, 1008, 1226, 7504, 15064, 1034, 7610, 3053, 11690, 1009, 1008, 1226, 1022, 5268, 1349, 14674, 96, 2222, 1114, 5913, 11275, 7591, 4703, 5247, 18471, 1009, 2468, 1008, 23453, 86, 1154, 0, 15, 1005, 20633, 23153, 20445, 4021, 1010, 1071, 22155, 1192, 1532, 1463, 1102, 1005, 28426, 1525, 1074, 15, 2893, 1034, 27315, 1257, 4878, 2192, 1009, 15851, 1054, 12667, 11122, 25780, 1060, 4809, 1005, 1049, 3419, 4504, 1157, 1026, 30128, 3300, 5361, 3772, 1485, 1303, 13497, 6572, 1212, 1526, 1009, 1860, 1814, 24088, 71, 7100, 1184, 6907, 1005, 1043, 1184, 3770, 1096, 1026, 1009, 14896, 1027, 1044, 72, 1061, 2867, 20835, 10778, 1184, 12606, 1026, 26831, 4289, 4029, 1124, 12110, 1009, 7744, 5991, 20301, 1371, 1026, 26831, 4289, 1096, 3330, 1044, 16232, 1571, 1327, 4246, 3500, 25236, 1048, 2384, 5254, 1006, 3450, 1009, 1834, 1049, 8590, 1159, 9821, 1185, 2843, 1075, 3097, 9277, 1031, 168, 16931, 1008, 1226, 1022, 5268, 5219, 1026, 6980, 29283, 2203, 2270, 2893, 85, 6032, 3300, 13093, 1, 16921, 1020, 96, 15225, 1040, 17610, 16921, 11807, 18, 19490, 32, 3270, 1020, 27427, 1096, 1094, 1641, 1072, 3709, 1060, 30803, 1114, 2835, 29655, 1060, 3279, 2689, 21043, 9409, 1118, 1094, 2236, 1009, 1675, 2534, 8121, 2718, 0, 18, 1043, 3114, 0, 6507, 24, 13409, 2277, 1132, 30637, 1009, 7267, 1043, 1094, 7984, 1009, 1083, 11560, 2525, 27, 13259, 0, 20, 25563, 1140, 1726, 12965, 1049, 4489, 25816, 1925, 1114, 1751, 15453, 1060, 2835, 29655, 1060, 3279, 30803, 1006, 1641, 1871, 1094, 1125, 8049, 1112, 1043, 1124, 4761, 5771, 2447, 1009, 1138, 12998, 28149, 1313, 2732, 81, 1568, 1078, 11986, 1005, 7070, 16507, 3448, 11224, 1197, 1658, 1641, 1096, 1044, 2512, 3709, 11747, 1005, 4678, 1060, 10909, 1043, 2739, 16504, 4412, 30752, 1028, 11628, 2013, 1318, 1006, 4799, 1060, 10314, 1009, 1008, 6436, 3270, 1020, 1034, 1005, 1044, 1187, 11511, 8426, 1009, 3374, 4114, 5801, 4395, 82, 6897, 2624, 16921, 1020, 96, 1096, 3806, 1009, 7349, 1184, 5530, 1641, 1060, 15749, 8, 3121, 1006, 1094, 20026, 1009, 1073, 90, 1078, 1040, 1418, 1060, 7064, 1009, 1094, 1641, 3270, 1020, 1034, 1048, 1836, 11843, 1114, 26492, 1049, 18775, 7628, 3144, 7630, 1620, 1160, 1058, 3241, 1006, 5391, 1009, 1048, 1026, 3709, 1060, 1641, 3241, 2281, 3050, 1069, 1072, 2457, 4548, 2653, 6081, 1187, 5635, 17185, 1114, 14577, 15652, 1026, 3124, 1009, 1048, 1026, 2386, 1178, 1785, 1009, 10834, 1068, 1124, 2519, 92, 5817, 5128, 1016, 1048, 1058, 3580, 1648, 1068, 1026, 1570, 1106, 25271, 1221, 1658, 11845, 16921, 1020, 96, 16752, 1493, 2033, 22672, 8916, 1072, 675, 1159, 1044, 4657, 22579, 1118, 1044, 6414, 1045, 1027, 1005, 29255, 1094, 4671, 7389, 18083, 1138, 1720, 21930, 1049, 5497, 1116, 17792, 6853, 1953, 71, 208, 18, 3901, 1077, 31821, 1577, 1206, 17105, 27270, 1482, 16270, 2443, 675, 11032, 1006, 1641, 1005, 1006, 1455, 1017, 1266, 1079, 1213, 1235, 7276, 1642, 1302, 3424, 4333, 2224, 10301, 1005, 2224, 4160, 1026, 21813, 3661, 1132, 28106, 1009, 1641, 1005, 4108, 2845, 1006, 10596, 9414, 1271, 1184, 27714, 4761, 1060, 3279, 30803, 1890, 1006, 7288, 20764, 1642, 1302, 1029, 1060, 15749, 1687, 14070, 1044, 1761, 73, 1069, 16494, 1960, 1069, 1118, 1044, 11223, 2386, 1060, 17330, 1073, 1242, 8923, 4733, 1006, 3332, 2484, 1060, 30803, 1006, 1641, 5749, 1044, 12479, 3709, 1009, 2438, 1045, 1416, 1005, 2935, 1009, 19752, 1680, 1159, 1044, 1187, 11511, 9790, 1060, 2689, 21043, 1138, 3090, 10293, 1060, 2413, 1195, 23529, 2408, 1118, 1044, 1807, 2285, 1009, 16576, 2811, 21956, 14372, 17440, 5600, 1048, 1058, 25797, 1054, 16921, 1020, 96, 1005, 1072, 1235, 31910, 1986, 9507, 2281, 3354, 29452, 1060, 675, 2695, 1725, 2275, 1180, 3293, 1093, 1318, 1058, 25797, 1054, 16921, 1020, 5121, 1118, 2922, 1009, 2475, 5235, 2286, 2224, 10703, 1132, 28106, 1009, 1641, 1596, 24602, 1118, 11472, 1020, 22732, 3801, 1060, 15749, 1005, 1054, 2523, 3502, 1687, 1058, 4312, 1006, 3861, 1060, 5033, 1009, 16921, 1020, 5121, 1094, 1271, 2835, 1070, 1085, 1242, 675, 1060, 30803, 1356, 4026, 2124, 2858, 2512, 3709, 1009, 27754, 16921, 1020, 96, 1836, 4725, 1072, 3709, 1060, 2689, 21043, 14276, 1006, 1224, 7633, 3946, 1961, 1054, 2523, 7157, 1026, 4026, 2968, 1053, 2060, 6297, 12132, 3062, 1026, 675, 12196, 1009, 5545, 1043, 1132, 9229, 1689, 2899, 1088, 1550, 5345, 2800, 1094, 1641, 12782, 1687, 4713, 3647, 2653, 1009, 1456, 28106, 14396, 1005, 1054, 2322, 3876, 0, 1036, 2017, 9795, 1060, 8592, 1195, 8354, 20, 4685, 1195, 3062, 1048, 1026, 4026, 675, 1325, 31002, 2286, 1984, 7678, 1132, 22238, 26353, 1016, 1596, 21782, 1495, 16921, 1020, 96, 1005, 1054, 1984, 5205, 1857, 5977, 9446, 1044, 22541, 22238, 3862, 1076, 1114, 4930, 1044, 1187, 1184, 4412, 11511, 1009, 4946, 1060, 15749, 13284, 15816, 11938, 1043, 1026, 4125, 1049, 1557, 1006, 4493, 1009, 16921, 1020, 96, 3128, 11328, 1005, 1006, 1224, 3621, 1195, 10567, 1357, 1641, 26802, 1009, 1073, 2234, 1925, 209, 2286, 2128, 11748, 1006, 1641, 1195, 3547, 1236, 1118, 1044, 13866, 1048, 31600, 1006, 3364, 1271, 20419, 1060, 1224, 1751, 5046, 20, 1776, 1901, 7715, 9952, 1371, 1006, 2750, 1386, 1346, 1060, 15749, 1005, 1006, 1641, 1195, 8518, 1140, 1356, 4037, 1060, 2677, 5123, 2275, 1482, 8570, 23, 16579, 80, 6981, 3418, 22664, 1093, 208, 11503, 11986, 17840, 1114, 1641, 1044, 22091, 1044, 1187, 4181, 14096, 1209, 3045, 1452, 1060, 2236, 2286, 8570, 28, 16921, 1020, 96, 3475, 1006, 1663, 1751, 1049, 24530, 1069, 1009, 29879, 23948, 20, 5845, 1006, 13321, 1060, 7500, 1118, 18988, 1627, 1195, 12660, 1114, 1641, 1026, 16426, 1009, 16921, 11807, 1365, 1006, 7500, 1005, 1006, 2677, 19990, 1054, 21195, 2394, 4504, 1157, 1048, 1006, 2677, 19990, 9251, 1751, 2364, 1049, 2790, 1187, 15099, 12561, 1060, 9348, 1009, 25200, 7377, 1241, 30342, 16921, 1020, 96, 1195, 8518, 1140, 1357, 7500, 13693, 14252, 1063, 19880, 1043, 1006, 7858, 1060, 2677, 19990, 8362, 20420, 1026, 3090, 10293, 1060, 1641, 1005, 16921, 1020, 5121, 3806, 1054, 12057, 1009, 675, 354, 372, 383, 380, 379, 18, 2845, 1006, 14072, 2653, 7792, 1229, 1160, 1657, 1060, 30803, 1309, 1318, 1187, 6780, 14597, 1005, 1009, 2693, 1006, 1751, 1049, 15588, 12057, 20, 1482, 4658, 24, 16921, 1020, 96, 1195, 15298, 1006, 29879, 23948, 1005, 675, 207, 1628, 232, 1118, 1094, 28341, 12561, 1049, 2738, 1060, 8020, 3578, 12126, 1006, 19880, 1043, 1006, 7858, 1176, 2789, 2860, 1195, 13105, 18751, 1068, 1006, 4930, 1847, 1094, 1271, 6316, 4761, 1006, 4207, 5263, 6397, 10602, 23071, 4567, 1009, 1094, 2700, 1009, 10016, 1114, 5105, 2469, 1026, 7433, 7719, 20103, 1079, 1006, 1641, 1043, 1006, 13645, 19422, 5845, 1124, 29521, 12697, 1048, 4217, 1202, 1009, 1779, 1495, 3295, 1009, 3383, 1009, 7976, 2471, 1006, 1641, 1195, 27752, 3179, 1048, 6255, 12561, 1009, 6224, 1656, 1114, 4930, 1124, 6048, 31360, 5672, 1312, 1118, 4913, 9565, 2804, 1093, 5378, 5822, 1412, 1294, 12108, 1006, 3124, 1060, 1641, 1261, 2281, 10403, 1236, 1356, 7433, 12057, 20, 14558, 4031, 1596, 12478, 1005, 1846, 4498, 1229, 2097, 1048, 1006, 1641, 1516, 31154, 3234, 1005, 1132, 4231, 13695, 16478, 1554, 16324, 1675, 3218, 2621, 4231, 1054, 7976, 2471, 1657, 1487, 6435, 24381, 1114, 1641, 1072, 1901, 20185, 11938, 1566, 1072, 2822, 1060, 3279, 3578, 18, 1493, 1049, 3709, 1060, 1641, 2284, 2281, 10789, 2876, 1005, 2653, 1187, 7739, 8631, 1596, 2908, 1402, 2470, 3890, 1006, 1224, 1641, 12561, 1060, 3781, 1005, 1060, 14619, 1076, 1060, 3279, 15749, 1967, 3430, 9172, 1442, 1349, 16921, 1020, 96, 5749, 12721, 1184, 1094, 5326, 1060, 8636, 5007, 1060, 2689, 21043, 1063, 22321, 6895, 1005, 1054, 22871, 0, 1036, 2017, 7538, 1060, 8592, 1195, 16228, 1658, 10750, 16718, 1006, 1641, 14136, 2916, 1009, 1799, 3537, 2621, 13515, 4733, 1026, 2738, 1060, 3578, 5722, 1219, 1525, 1060, 15749, 1009, 30488, 1044, 8209, 1588, 13482, 19, 3265, 83, 1577, 1048, 1614, 5740, 10116, 1233, 6074, 3578, 12126, 1006, 19880, 1060, 7858, 2033, 3205, 1094, 1472, 8435, 1178, 13105, 1209, 1667, 7630, 1006, 1641, 3241, 2281, 10567, 1357, 6926, 12789, 25624, 1767, 3179, 1048, 15000, 12752, 1005, 1305, 4805, 4811, 4195, 1006, 1641, 1195, 5232, 8518, 1140, 1233, 4149, 19939, 7407, 7766, 1026, 1852, 1060, 6074, 3578, 3747, 6151, 2595, 6435, 1588, 4340, 1018, 1005, 14446, 1060, 1641, 1005, 9021, 1056, 1242, 1596, 4498, 1554, 3423, 2668, 1158, 6435, 16938, 4290, 1596, 9778, 1206, 15923, 1068, 1006, 4149, 1159, 2011, 8061, 85 ]

[ 24539, 4876, 1187, 5751, 1919, 1048, 1927, 7062, 5321, 1068, 2373, 3247, 6225, 2219, 1124, 1098, 1446, 17831, 626, 1467, 5380, 1049, 1141, 4273, 17118, 26785, 1577, 10653, 1187, 5751, 5649, 1261, 2497, 1927, 2373, 24407, 14557, 626, 1068, 1057, 1266, 1006, 4556, 1005, 2598, 1058, 19007, 19136, 1467, 2656, 3292, 6741, 17015, 2530, 4634, 6745, 3613, 1576, 56, 3071, 2428, 2818, 12239, 41, 4186, 23497, 1205, 39, 64, 8638, 1715, 4567, 1009, 1261, 1011, 1093, 13991, 1072, 13465, 1054, 1048, 1058, 5565, 3205, 1233, 1086, 25533, 13442, 1026, 10196, 15305, 2707, 1715, 1138, 5485, 20374, 1049, 2956, 3936, 1676, 1271, 31872, 2722, 13363, 27425, 1004, 3226, 45, 1051, 4893, 7188, 1166, 1556, 91, 1715, 18305, 1654, 3300, 4893, 1005, 1111, 1390, 90, 15582, 7188, 1166, 1271, 15607, 1063, 27214, 1079, 26785, 1577, 13046, 8483, 50, 11515, 2858, 16871, 6932, 1005, 31862, 12386, 1221, 15854, 23237, 1079, 7774, 1256, 9390, 76, 3299, 1010, 1043, 1006, 6068, 1715, 1138, 18990, 8991, 1441, 1230, 1060, 1142, 26517, 9298, 1671, 1060, 2689, 11834, 2769, 3226, 8849, 8041, 5, 15300, 1107, 30, 29395, 1006, 3536, 1009, 1204, 2228, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 2224, 2228, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 10923, 2228, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 3939, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 3295, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 1984, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 8584, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 2978, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 2128, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 1782, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 10479, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 3734, 1063, 1385, 6391, 1049, 7436, 14543, 1799, 1063, 19287, 27441, 1184, 0, 1067, 2327, 1072, 9891, 1759, 1097, 2590, 11958, 1009, 9724, 1009, 6391, 4899, 1139, 1055, 1134, 30, 21973, 9835, 1163, 2606, 28971, 11076, 1144, 5703, 7521, 24885, 47, 59, 1605, 6168, 26785, 1577, 1005, 1049, 8483, 50, 2722, 3381, 18113, 4452, 27214, 1097, 2590, 26166, 5, 3989, 1009, 9195, 1009, 6391, 4899, 1139, 1055, 1134, 30, 1559, 1691, 2713, 3776, 59, 1138, 1163, 2606, 28971, 2373, 49, 3642, 2713, 3710, 47, 3831, 626, 1605, 7256, 25729, 5504, 10243, 1385, 2373, 49, 1046, 1997, 1243, 4324, 1048, 12132, 1054, 27214, 1097, 2590, 5, 3989, 1009, 9195, 1009, 6391, 4899, 1139, 1055, 1134, 30, 1559, 1605, 11076, 1084, 4071, 1119, 11326, 135, 41, 4414, 1128, 2713, 20906, 59, 4134, 43, 22481, 2428, 57, 135, 23272, 1605, 5832, 1009, 1160, 1261, 1026, 1048, 14308, 27214, 1097, 2590, 17910, 21908, 1605, 14543, 1799, 1096, 1044, 3761, 3859, 1078, 10636, 4872, 3694, 26144, 1009, 4734, 2357, 1005, 9296, 1188, 1043, 1006, 4556, 4355, 1078, 1107, 10459, 1184, 1049, 1048, 1044, 2717, 1672, 1006, 6685, 7, 29395, 8028, 7216, 29395, 8028, 7216, 1067, 1954, 3277, 1024, 4783, 9598, 2769, 12935, 8699, 5027, 2430, 5383, 4594, 17727, 1684, 7300, 31150, 1563, 26166, 14543, 1799, 4501, 4783, 7216, 1134, 5072, 2654, 1082, 3755, 10984, 29418, 18306, 1, 1138, 5428, 11939, 21862, 2645, 9833, 15, 1750, 7210, 1079, 14567, 3344, 1076, 1009, 1705, 1469, 24533, 1149, 1118, 15789, 2489, 1071, 9435, 3727, 15, 1114, 1428, 11056, 1048, 1026, 12684, 5995, 3517, 2794, 13913, 15, 2349, 6225, 1006, 11678, 2489, 1049, 7026, 2769, 1118, 1160, 1261, 30930, 2743, 1009, 3940, 1048, 21236, 16260, 11442, 1009, 1859, 1684, 1193, 2275, 1138, 6721, 23916, 1009, 22837, 1096, 1026, 24587, 9003, 1026, 19388, 6822, 1006, 3597, 1195, 5576, 1006, 2822, 1009, 1048, 2374, 13079, 1213, 11230, 21727, 1026, 3244, 1009, 23188, 9834, 16200, 1048, 1008, 3446, 1006, 1859, 1684, 1193, 1034, 1005, 1006, 1624, 76, 1193, 1411, 5715, 1009, 23313, 20, 13627, 1876, 1096, 2693, 25336, 1048, 1244, 2934, 1006, 4260, 1149, 21, 1021, 1527, 1586, 1149, 1009, 1044, 2417, 9900, 1006, 2143, 1005, 1006, 1859, 1684, 1193, 1034, 1005, 1006, 1624, 76, 1193, 1034, 5715, 1009, 23313, 1175, 25954, 1046, 14961, 1114, 7511, 1990, 1060, 2779, 15543, 9900, 1006, 1783, 1172, 1095, 2989, 17589, 3622, 30094, 25865, 6084, 7092, 1058, 6879, 1046, 1043, 1026, 3266, 4796, 1349, 5649, 1533, 21236, 2983, 31190, 5219, 1026, 24205, 10416, 1060, 4272, 13751, 1009, 5612, 1024, 16633, 1213, 23313, 1175, 8241, 12573, 1072, 2859, 1487, 0, 1071, 1441, 4468, 1842, 50, 2599, 15, 1060, 9015, 3517, 1175, 15047, 8623, 14626, 23735, 1726, 13899, 13156, 12747, 20949, 1006, 3997, 1005, 5551, 17831, 13636, 20498, 1477, 1487, 0, 18, 29476, 1842, 50, 21981, 15047, 10204, 1318, 8623, 14626, 23735, 1213, 9383, 1060, 22637, 1149, 1114, 3599, 4636, 1009, 19768, 1009, 6250, 7950, 1778, 20498, 1477, 1487, 0, 18, 29476, 1142, 4812, 3377, 2036, 2303, 1043, 1026, 19388, 6822, 1026, 7026, 2769, 1225, 1058, 7983, 1069, 1006, 18465, 1026, 2743, 1009, 3940, 1048, 12978, 5197, 9807, 2742, 21236, 2983, 20, 1138, 5612, 1348, 1160, 4254, 1126, 1309, 1318, 1160, 9934, 5602, 6968, 1668, 1005, 1664, 1132, 1734, 7002, 22910, 1233, 2779, 15543, 1054, 1044, 5620, 2282, 2005, 25121, 3554, 1100, 22750, 6033, 17578, 1026, 6387, 11056, 1006, 21236, 2983, 9080, 1009, 2252, 1124, 5480, 1009, 1859, 1684, 1193, 1034, 1005, 1624, 76, 1193, 1411, 4807, 1124, 12137, 1016, 10010, 1005, 4726, 10028, 1132, 17174, 1794, 4261, 1124, 9058, 1121, 1005, 1124, 13899, 13156, 7697, 1312, 1357, 9081, 8289, 8826, 8564, 1009, 4796, 1175, 2733, 1206, 25592, 1175, 1060, 5477, 11930, 13044, 1124, 5480, 1009, 1859, 1684, 1193, 1034, 1005, 1624, 76, 1193, 1034, 3634, 1178, 8160, 1580, 1043, 1026, 1592, 13528, 15335, 5474, 1357, 3811, 1009, 13627, 5120, 1288, 5865, 1009, 18611, 1022, 1990, 1009, 1026, 2181, 1121, 29285, 1060, 26037, 1184, 23274, 1009, 11319, 1026, 3679, 9900, 1006, 20650, 31726, 1833, 41, 11316, 40, 5, 149, 89, 12715, 3502, 10620, 23079, 10814, 14773, 1118, 6455, 18489, 1024, 1072, 4861, 7, 24198, 1072, 8556, 24198, 1072, 6332, 24198, 1043, 1026, 25537, 5, 1022, 3358, 4746, 2224, 1009, 3049, 1009, 4119, 3341, 9833, 18427, 7146, 43, 21200, 39, 28880, 4824, 1144, 4517, 23983, 1467, 1180, 9833, 1561, 27352, 1890, 1235, 22674, 7026, 14845, 1294, 2250, 1487, 1005, 1675, 1009, 13660, 1054, 1764, 4989, 1006, 2360, 17675, 1049, 7998, 2408, 1068, 1026, 15155, 7400, 4152, 14290, 1071, 13489, 1006, 8902, 4331, 1349, 6303, 1356, 4711, 1009, 8082, 1060, 14565, 1068, 22512, 1463, 6283, 1049, 3867, 1901, 1005, 18111, 1006, 8116, 1049, 6322, 1088, 1667, 1138, 28004, 7312, 1048, 1006, 4455, 1009, 9586, 1060, 1180, 9833, 1561, 1009, 1984, 6780, 3106, 11077, 1123, 19197, 1062, 6854, 1073, 6854, 1082, 2722, 1073, 5529, 1106, 2722, 1163, 7185, 1084, 6822, 1123, 15720, 1082, 11880, 31429, 7554, 18, 1073, 2722, 11779, 1349, 1026, 1048, 4944, 2339, 2277, 1132, 3580, 4837, 1026, 4758, 1060, 15421, 1049, 1073, 9833, 1846, 1049, 22435, 1054, 7218, 1060, 4600, 3943, 1222, 1225, 19388, 6822, 1225, 1180, 9833, 11021, 3423, 1009, 26465, 1006, 2360, 30610, 2769, 1005, 26139, 1006, 8116, 1049, 6322, 20690, 1026, 28004, 1060, 1180, 9833, 16831, 20420, 1620, 1124, 4496, 8718, 15807, 17630, 5978, 1060, 6338, 1009, 15421, 1159, 3182, 5098, 1049, 10123, 1463, 1490, 1161, 1009, 2252, 1124, 20031, 1049, 19388, 6822, 1006, 2991, 1049, 1566, 2755, 1054, 2539, 6780, 6135, 17630, 5978, 1009, 1094, 31830, 3087, 1009, 22573, 1049, 4249, 17228, 1304, 1068, 1132, 5278, 1060, 15421, 18257, 17630, 4173, 1187, 24538, 1009, 12068, 1005, 31936, 1060, 1180, 9833, 1561, 6135, 17630, 11765, 1049, 2743, 1205, 6625, 18722, 7, 1205, 6625, 3404, 23556, 5576, 1048, 13320, 1026, 4711, 1009, 8082, 1060, 1180, 9833, 1118, 2220, 1026, 1908, 1043, 9568, 1821, 1339, 2270, 1138, 2743, 1195, 13616, 1006, 17675, 3267, 11292, 1005, 20301, 16831, 4372, 18257, 1063, 6665, 1112, 1049, 6902, 1063, 1633, 2587, 1060, 15421, 18, 3407, 8481, 1356, 17197, 1049, 18126, 2769, 1060, 15421, 18, 1054, 3261, 3019, 1901, 33, 1175, 12757, 5606, 1060, 1180, 9833, 1561, 1463, 24070, 1049, 4241, 31936, 18, 1043, 1026, 1050, 2526, 1124, 1155, 30233, 8826, 17758, 1043, 1026, 3633, 3428, 23877, 6434, 1060, 8305, 43, 18987, 1563, 2769, 1187, 7906, 1708, 15, 1005, 1228, 40, 2164, 18987, 1563, 6164, 1187, 7906, 1708, 31990, 1024, 1291, 1621, 19, 17630, 14040, 1271, 16594, 1043, 1006, 1228, 48, 40, 18987, 1563, 1271, 27604, 8864, 1561, 2032, 6190, 1068, 1006, 3649, 1009, 1094, 16566, 5967, 11896, 1005, 11132, 18333, 1961, 1043, 1026, 3489, 1009, 14246, 1006, 1180, 9833, 1294, 7328, 3732, 18257, 12757, 12054, 1006, 22009, 6007, 1049, 1073, 9833, 1060, 10710, 2321, 3106, 1055, 3344, 1076, 1009, 1705, 1469, 24533, 1149, 15, 1717, 1026, 26808, 13736, 1060, 8305, 43, 1114, 14289, 1271, 3525, 2032, 2392, 31783, 18257, 17630, 13956, 1009, 1094, 6347, 3092, 1060, 1180, 9833, 1561, 1717, 1006, 8859, 1009, 3790, 1206, 12005, 3486, 1233, 18493, 1996, 1271, 4283, 16275, 26992, 1054, 4152, 18257, 17630, 3514, 1055, 1009, 1168, 16639, 1010, 1054, 7419, 1233, 4981, 1049, 1141, 2427, 5002, 3821, 28995, 4906, 14427, 5644, 7149, 1026, 15877, 1009, 1791, 31972, 9811, 1072, 1531, 1487, 1009, 3049, 1009, 4119, 2904, 53, 28862, 2606, 8562, 1144, 4517, 23983, 1084, 10093, 24679, 28342, 85, 1517, 20, 9598, 32, 18616, 12216, 3106, 51, 1621, 26314, 1517, 20, 10870, 32, 15413, 25823, 73, 1623, 2663, 43, 1621, 26314, 1517, 20, 15804, 9598, 32, 4763, 1063, 91, 1301, 81, 3306, 45, 1621, 26314, 1517, 20, 23182, 32, 16086, 20904, 19903, 1621, 26314, 1517, 20, 15210, 32, 1953, 1024, 1226, 12206, 3306, 39, 1621, 26314, 1517, 20, 11906, 32, 23641, 30898, 2645, 43, 3929, 13488, 1009, 1082, 1794, 1242, 6183, 27405, 32, 9535, 2673, 1082, 2109, 1014, 19903, 1621, 26314, 1517, 20, 8463, 2130, 18147, 32, 14225, 74, 4938, 1082, 7226, 1714, 4228, 22473, 2904, 85, 4462, 1394, 2960, 1918, 2324, 1671, 32, 1570, 5840, 1180, 1932, 1081, 4228, 56, 1621, 52, 8577, 32, 20097, 19905, 1014, 7646, 4045, 39, 1621, 57, 1302, 1553, 32, 1163, 1226, 1529, 1014, 16322, 1071, 2164, 1621, 41, 8560, 9706, 1553, 32, 7626, 7956, 5583, 53, 1349, 1759, 1075, 32, 23705, 5831, 20904, 19903, 18103, 1336, 7376, 1138, 3344, 7376, 1060, 1180, 9833, 1561, 1096, 9110, 1318, 1118, 1044, 4798, 1009, 1752, 12343, 1048, 2177, 10612, 1114, 1944, 6127, 3267, 1049, 7998, 13996, 1054, 3164, 1620, 1006, 1178, 2355, 5330, 5153, 1132, 23399, 1060, 15421, 18, 1026, 2417, 1225, 1006, 8928, 1009, 9164, 1094, 21991, 2821, 8736, 23959, 1005, 1043, 2754, 2733, 1436, 15183, 1118, 10218, 1048, 1992, 1006, 8564, 1060, 1180, 9833, 1561, 2947, 1184, 3867, 1060, 6386, 1060, 14565, 1049, 1908, 1059, 149, 89, 2224, 24383, 10620, 23079, 10814, 14773, 1118, 6455, 18489, 1024, 1072, 4861, 7, 24198, 1072, 8556, 24198, 1072, 6332, 24198, 1043, 1026, 25537, 5, 7119, 1253, 1100, 1799, 1009, 3049, 1009, 4119, 3341, 9833, 1561, 10013, 2360, 17675, 5919, 32, 31684, 1049, 1073, 9833, 1467, 1180, 9833, 1561, 27352, 1890, 1235, 22674, 7026, 14845, 1294, 2250, 1487, 1005, 1675, 1009, 13660, 1054, 1764, 4989, 1006, 2360, 17675, 1049, 7998, 2408, 1068, 1026, 15155, 7400, 4152, 14290, 1071, 13489, 1006, 8902, 4331, 1349, 6303, 1356, 4711, 1009, 8082, 1060, 14565, 1068, 22512, 1463, 6283, 1049, 3867, 1901, 1005, 18111, 1006, 8116, 1049, 21196, 1704, 28004, 7312, 1048, 1006, 4455, 1009, 9586, 1060, 1180, 9833, 1561, 1009, 2322, 6780, 3106, 11077, 1123, 19197, 1062, 6854, 1073, 6854, 1082, 2722, 1073, 5529, 1106, 2722, 1163, 7185, 1084, 6822, 1123, 15720, 1082, 11880, 31429, 7554, 1005, 11779, 1349, 1026, 1048, 4944, 2339, 2277, 1132, 3580, 4837, 1026, 4758, 1060, 15421, 1049, 1073, 9833, 1846, 1049, 22435, 1054, 7218, 1060, 4600, 3943, 1222, 1225, 19388, 6822, 1225, 1180, 9833, 11021, 26582, 1009, 26465, 1006, 2360, 30610, 2769, 1005, 26139, 1006, 8116, 1049, 6322, 20690, 1026, 28004, 1060, 1180, 9833, 16831, 20420, 1620, 1124, 4496, 8718, 15807, 17630, 5978, 1060, 6338, 1009, 15421, 1159, 3182, 5098, 1049, 10123, 1463, 1490, 1161, 1009, 2252, 1124, 20031, 1049, 19388, 6822, 1006, 2991, 1049, 1566, 2755, 1054, 6780, 1159, 6908, 9186, 8250, 1005, 19690, 9877, 1734, 18257, 17630, 11980, 1049, 1720, 1060, 27757, 30148, 10821, 1068, 1006, 6338, 2769, 1009, 15421, 1114, 8346, 1525, 2769, 1049, 1073, 9833, 18257, 17630, 5978, 1009, 1094, 31830, 3087, 1009, 22573, 1049, 4249, 17228, 1480, 1068, 1132, 5278, 1060, 15421, 18257, 17630, 4173, 1187, 24538, 1009, 12068, 1005, 31936, 1060, 1180, 9833, 1561, 6135, 17630, 11765, 1049, 2743, 1205, 6625 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24539, 4876, 1187, 5751, 1919, 1048, 1927, 7062, 5321, 1068, 2373, 3247, 6225, 2219, 1124, 1098, 1446, 17831, 626, 1467, 5380, 1049, 1141, 4273, 17118, 26785, 1577, 10653, 1187, 5751, 5649, 1261, 2497, 1927, 2373, 24407, 14557, 626, 1068, 1057, 1266, 1006, 4556, 1005, 2598, 1058, 19007, 19136, 1467, 2656, 3292, 6741, 17015, 2530, 4634, 6745, 3613, 1576, 56, 3071, 2428, 2818, 12239, 41, 4186, 23497, 1205, 39, 64, 8638, 1715, 4567, 1009, 1261, 1011, 1093, 13991, 1072, 13465, 1054, 1048, 1058, 5565, 3205, 1233, 1086, 25533, 13442, 1026, 10196, 15305, 2707, 1715, 1138, 5485, 20374, 1049, 2956, 3936, 1676, 1271, 31872, 2722, 13363, 27425, 1004, 3226, 45, 1051, 4893, 7188, 1166, 1556, 91, 1715, 18305, 1654, 3300, 4893, 1005, 1111, 1390, 90, 15582, 7188, 1166, 1271, 15607, 1063, 27214, 1079, 26785, 1577, 13046, 8483, 50, 11515, 2858, 16871, 6932, 1005, 31862, 12386, 1221, 15854, 23237, 1079, 7774, 1256, 9390, 76, 3299, 1010, 1043, 1006, 6068, 1715, 1138, 18990, 8991, 1441, 1230, 1060, 1142, 26517, 9298, 1671, 1060, 2689, 11834, 2769, 3226, 8849, 8041, 5, 15300, 1107, 30, 29395, 1006, 3536, 1009, 1204, 2228, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 2224, 2228, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 10923, 2228, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 3939, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 3295, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 1984, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 8584, 3422, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 2978, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 2128, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 1782, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 10479, 5164, 6391, 1049, 7436, 14543, 1799, 1063, 29395, 1006, 3536, 1009, 3734, 1063, 1385, 6391, 1049, 7436, 14543, 1799, 1063, 19287, 27441, 1184, 0, 1067, 2327, 1072, 9891, 1759, 1097, 2590, 11958, 1009, 9724, 1009, 6391, 4899, 1139, 1055, 1134, 30, 21973, 9835, 1163, 2606, 28971, 11076, 1144, 5703, 7521, 24885, 47, 59, 1605, 6168, 26785, 1577, 1005, 1049, 8483, 50, 2722, 3381, 18113, 4452, 27214, 1097, 2590, 26166, 5, 3989, 1009, 9195, 1009, 6391, 4899, 1139, 1055, 1134, 30, 1559, 1691, 2713, 3776, 59, 1138, 1163, 2606, 28971, 2373, 49, 3642, 2713, 3710, 47, 3831, 626, 1605, 7256, 25729, 5504, 10243, 1385, 2373, 49, 1046, 1997, 1243, 4324, 1048, 12132, 1054, 27214, 1097, 2590, 5, 3989, 1009, 9195, 1009, 6391, 4899, 1139, 1055, 1134, 30, 1559, 1605, 11076, 1084, 4071, 1119, 11326, 135, 41, 4414, 1128, 2713, 20906, 59, 4134, 43, 22481, 2428, 57, 135, 23272, 1605, 5832, 1009, 1160, 1261, 1026, 1048, 14308, 27214, 1097, 2590, 17910, 21908, 1605, 14543, 1799, 1096, 1044, 3761, 3859, 1078, 10636, 4872, 3694, 26144, 1009, 4734, 2357, 1005, 9296, 1188, 1043, 1006, 4556, 4355, 1078, 1107, 10459, 1184, 1049, 1048, 1044, 2717, 1672, 1006, 6685, 7, 29395, 8028, 7216, 29395, 8028, 7216, 1067, 1954, 3277, 1024, 4783, 9598, 2769, 12935, 8699, 5027, 2430, 5383, 4594, 17727, 1684, 7300, 31150, 1563, 26166, 14543, 1799, 4501, 4783, 7216, 1134, 5072, 2654, 1082, 3755, 10984, 29418, 18306, 1, 1138, 5428, 11939, 21862, 2645, 9833, 15, 1750, 7210, 1079, 14567, 3344, 1076, 1009, 1705, 1469, 24533, 1149, 1118, 15789, 2489, 1071, 9435, 3727, 15, 1114, 1428, 11056, 1048, 1026, 12684, 5995, 3517, 2794, 13913, 15, 2349, 6225, 1006, 11678, 2489, 1049, 7026, 2769, 1118, 1160, 1261, 30930, 2743, 1009, 3940, 1048, 21236, 16260, 11442, 1009, 1859, 1684, 1193, 2275, 1138, 6721, 23916, 1009, 22837, 1096, 1026, 24587, 9003, 1026, 19388, 6822, 1006, 3597, 1195, 5576, 1006, 2822, 1009, 1048, 2374, 13079, 1213, 11230, 21727, 1026, 3244, 1009, 23188, 9834, 16200, 1048, 1008, 3446, 1006, 1859, 1684, 1193, 1034, 1005, 1006, 1624, 76, 1193, 1411, 5715, 1009, 23313, 20, 13627, 1876, 1096, 2693, 25336, 1048, 1244, 2934, 1006, 4260, 1149, 21, 1021, 1527, 1586, 1149, 1009, 1044, 2417, 9900, 1006, 2143, 1005, 1006, 1859, 1684, 1193, 1034, 1005, 1006, 1624, 76, 1193, 1034, 5715, 1009, 23313, 1175, 25954, 1046, 14961, 1114, 7511, 1990, 1060, 2779, 15543, 9900, 1006, 1783, 1172, 1095, 2989, 17589, 3622, 30094, 25865, 6084, 7092, 1058, 6879, 1046, 1043, 1026, 3266, 4796, 1349, 5649, 1533, 21236, 2983, 31190, 5219, 1026, 24205, 10416, 1060, 4272, 13751, 1009, 5612, 1024, 16633, 1213, 23313, 1175, 8241, 12573, 1072, 2859, 1487, 0, 1071, 1441, 4468, 1842, 50, 2599, 15, 1060, 9015, 3517, 1175, 15047, 8623, 14626, 23735, 1726, 13899, 13156, 12747, 20949, 1006, 3997, 1005, 5551, 17831, 13636, 20498, 1477, 1487, 0, 18, 29476, 1842, 50, 21981, 15047, 10204, 1318, 8623, 14626, 23735, 1213, 9383, 1060, 22637, 1149, 1114, 3599, 4636, 1009, 19768, 1009, 6250, 7950, 1778, 20498, 1477, 1487, 0, 18, 29476, 1142, 4812, 3377, 2036, 2303, 1043, 1026, 19388, 6822, 1026, 7026, 2769, 1225, 1058, 7983, 1069, 1006, 18465, 1026, 2743, 1009, 3940, 1048, 12978, 5197, 9807, 2742, 21236, 2983, 20, 1138, 5612, 1348, 1160, 4254, 1126, 1309, 1318, 1160, 9934, 5602, 6968, 1668, 1005, 1664, 1132, 1734, 7002, 22910, 1233, 2779, 15543, 1054, 1044, 5620, 2282, 2005, 25121, 3554, 1100, 22750, 6033, 17578, 1026, 6387, 11056, 1006, 21236, 2983, 9080, 1009, 2252, 1124, 5480, 1009, 1859, 1684, 1193, 1034, 1005, 1624, 76, 1193, 1411, 4807, 1124, 12137, 1016, 10010, 1005, 4726, 10028, 1132, 17174, 1794, 4261, 1124, 9058, 1121, 1005, 1124, 13899, 13156, 7697, 1312, 1357, 9081, 8289, 8826, 8564, 1009, 4796, 1175, 2733, 1206, 25592, 1175, 1060, 5477, 11930, 13044, 1124, 5480, 1009, 1859, 1684, 1193, 1034, 1005, 1624, 76, 1193, 1034, 3634, 1178, 8160, 1580, 1043, 1026, 1592, 13528, 15335, 5474, 1357, 3811, 1009, 13627, 5120, 1288, 5865, 1009, 18611, 1022, 1990, 1009, 1026, 2181, 1121, 29285, 1060, 26037, 1184, 23274, 1009, 11319, 1026, 3679, 9900, 1006, 20650, 31726, 1833, 41, 11316, 40, 5, 149, 89, 12715, 3502, 10620, 23079, 10814, 14773, 1118, 6455, 18489, 1024, 1072, 4861, 7, 24198, 1072, 8556, 24198, 1072, 6332, 24198, 1043, 1026, 25537, 5, 1022, 3358, 4746, 2224, 1009, 3049, 1009, 4119, 3341, 9833, 18427, 7146, 43, 21200, 39, 28880, 4824, 1144, 4517, 23983, 1467, 1180, 9833, 1561, 27352, 1890, 1235, 22674, 7026, 14845, 1294, 2250, 1487, 1005, 1675, 1009, 13660, 1054, 1764, 4989, 1006, 2360, 17675, 1049, 7998, 2408, 1068, 1026, 15155, 7400, 4152, 14290, 1071, 13489, 1006, 8902, 4331, 1349, 6303, 1356, 4711, 1009, 8082, 1060, 14565, 1068, 22512, 1463, 6283, 1049, 3867, 1901, 1005, 18111, 1006, 8116, 1049, 6322, 1088, 1667, 1138, 28004, 7312, 1048, 1006, 4455, 1009, 9586, 1060, 1180, 9833, 1561, 1009, 1984, 6780, 3106, 11077, 1123, 19197, 1062, 6854, 1073, 6854, 1082, 2722, 1073, 5529, 1106, 2722, 1163, 7185, 1084, 6822, 1123, 15720, 1082, 11880, 31429, 7554, 18, 1073, 2722, 11779, 1349, 1026, 1048, 4944, 2339, 2277, 1132, 3580, 4837, 1026, 4758, 1060, 15421, 1049, 1073, 9833, 1846, 1049, 22435, 1054, 7218, 1060, 4600, 3943, 1222, 1225, 19388, 6822, 1225, 1180, 9833, 11021, 3423, 1009, 26465, 1006, 2360, 30610, 2769, 1005, 26139, 1006, 8116, 1049, 6322, 20690, 1026, 28004, 1060, 1180, 9833, 16831, 20420, 1620, 1124, 4496, 8718, 15807, 17630, 5978, 1060, 6338, 1009, 15421, 1159, 3182, 5098, 1049, 10123, 1463, 1490, 1161, 1009, 2252, 1124, 20031, 1049, 19388, 6822, 1006, 2991, 1049, 1566, 2755, 1054, 2539, 6780, 6135, 17630, 5978, 1009, 1094, 31830, 3087, 1009, 22573, 1049, 4249, 17228, 1304, 1068, 1132, 5278, 1060, 15421, 18257, 17630, 4173, 1187, 24538, 1009, 12068, 1005, 31936, 1060, 1180, 9833, 1561, 6135, 17630, 11765, 1049, 2743, 1205, 6625, 18722, 7, 1205, 6625, 3404, 23556, 5576, 1048, 13320, 1026, 4711, 1009, 8082, 1060, 1180, 9833, 1118, 2220, 1026, 1908, 1043, 9568, 1821, 1339, 2270, 1138, 2743, 1195, 13616, 1006, 17675, 3267, 11292, 1005, 20301, 16831, 4372, 18257, 1063, 6665, 1112, 1049, 6902, 1063, 1633, 2587, 1060, 15421, 18, 3407, 8481, 1356, 17197, 1049, 18126, 2769, 1060, 15421, 18, 1054, 3261, 3019, 1901, 33, 1175, 12757, 5606, 1060, 1180, 9833, 1561, 1463, 24070, 1049, 4241, 31936, 18, 1043, 1026, 1050, 2526, 1124, 1155, 30233, 8826, 17758, 1043, 1026, 3633, 3428, 23877, 6434, 1060, 8305, 43, 18987, 1563, 2769, 1187, 7906, 1708, 15, 1005, 1228, 40, 2164, 18987, 1563, 6164, 1187, 7906, 1708, 31990, 1024, 1291, 1621, 19, 17630, 14040, 1271, 16594, 1043, 1006, 1228, 48, 40, 18987, 1563, 1271, 27604, 8864, 1561, 2032, 6190, 1068, 1006, 3649, 1009, 1094, 16566, 5967, 11896, 1005, 11132, 18333, 1961, 1043, 1026, 3489, 1009, 14246, 1006, 1180, 9833, 1294, 7328, 3732, 18257, 12757, 12054, 1006, 22009, 6007, 1049, 1073, 9833, 1060, 10710, 2321, 3106, 1055, 3344, 1076, 1009, 1705, 1469, 24533, 1149, 15, 1717, 1026, 26808, 13736, 1060, 8305, 43, 1114, 14289, 1271, 3525, 2032, 2392, 31783, 18257, 17630, 13956, 1009, 1094, 6347, 3092, 1060, 1180, 9833, 1561, 1717, 1006, 8859, 1009, 3790, 1206, 12005, 3486, 1233, 18493, 1996, 1271, 4283, 16275, 26992, 1054, 4152, 18257, 17630, 3514, 1055, 1009, 1168, 16639, 1010, 1054, 7419, 1233, 4981, 1049, 1141, 2427, 5002, 3821, 28995, 4906, 14427, 5644, 7149, 1026, 15877, 1009, 1791, 31972, 9811, 1072, 1531, 1487, 1009, 3049, 1009, 4119, 2904, 53, 28862, 2606, 8562, 1144, 4517, 23983, 1084, 10093, 24679, 28342, 85, 1517, 20, 9598, 32, 18616, 12216, 3106, 51, 1621, 26314, 1517, 20, 10870, 32, 15413, 25823, 73, 1623, 2663, 43, 1621, 26314, 1517, 20, 15804, 9598, 32, 4763, 1063, 91, 1301, 81, 3306, 45, 1621, 26314, 1517, 20, 23182, 32, 16086, 20904, 19903, 1621, 26314, 1517, 20, 15210, 32, 1953, 1024, 1226, 12206, 3306, 39, 1621, 26314, 1517, 20, 11906, 32, 23641, 30898, 2645, 43, 3929, 13488, 1009, 1082, 1794, 1242, 6183, 27405, 32, 9535, 2673, 1082, 2109, 1014, 19903, 1621, 26314, 1517, 20, 8463, 2130, 18147, 32, 14225, 74, 4938, 1082, 7226, 1714, 4228, 22473, 2904, 85, 4462, 1394, 2960, 1918, 2324, 1671, 32, 1570, 5840, 1180, 1932, 1081, 4228, 56, 1621, 52, 8577, 32, 20097, 19905, 1014, 7646, 4045, 39, 1621, 57, 1302, 1553, 32, 1163, 1226, 1529, 1014, 16322, 1071, 2164, 1621, 41, 8560, 9706, 1553, 32, 7626, 7956, 5583, 53, 1349, 1759, 1075, 32, 23705, 5831, 20904, 19903, 18103, 1336, 7376, 1138, 3344, 7376, 1060, 1180, 9833, 1561, 1096, 9110, 1318, 1118, 1044, 4798, 1009, 1752, 12343, 1048, 2177, 10612, 1114, 1944, 6127, 3267, 1049, 7998, 13996, 1054, 3164, 1620, 1006, 1178, 2355, 5330, 5153, 1132, 23399, 1060, 15421, 18, 1026, 2417, 1225, 1006, 8928, 1009, 9164, 1094, 21991, 2821, 8736, 23959, 1005, 1043, 2754, 2733, 1436, 15183, 1118, 10218, 1048, 1992, 1006, 8564, 1060, 1180, 9833, 1561, 2947, 1184, 3867, 1060, 6386, 1060, 14565, 1049, 1908, 1059, 149, 89, 2224, 24383, 10620, 23079, 10814, 14773, 1118, 6455, 18489, 1024, 1072, 4861, 7, 24198, 1072, 8556, 24198, 1072, 6332, 24198, 1043, 1026, 25537, 5, 7119, 1253, 1100, 1799, 1009, 3049, 1009, 4119, 3341, 9833, 1561, 10013, 2360, 17675, 5919, 32, 31684, 1049, 1073, 9833, 1467, 1180, 9833, 1561, 27352, 1890, 1235, 22674, 7026, 14845, 1294, 2250, 1487, 1005, 1675, 1009, 13660, 1054, 1764, 4989, 1006, 2360, 17675, 1049, 7998, 2408, 1068, 1026, 15155, 7400, 4152, 14290, 1071, 13489, 1006, 8902, 4331, 1349, 6303, 1356, 4711, 1009, 8082, 1060, 14565, 1068, 22512, 1463, 6283, 1049, 3867, 1901, 1005, 18111, 1006, 8116, 1049, 21196, 1704, 28004, 7312, 1048, 1006, 4455, 1009, 9586, 1060, 1180, 9833, 1561, 1009, 2322, 6780, 3106, 11077, 1123, 19197, 1062, 6854, 1073, 6854, 1082, 2722, 1073, 5529, 1106, 2722, 1163, 7185, 1084, 6822, 1123, 15720, 1082, 11880, 31429, 7554, 1005, 11779, 1349, 1026, 1048, 4944, 2339, 2277, 1132, 3580, 4837, 1026, 4758, 1060, 15421, 1049, 1073, 9833, 1846, 1049, 22435, 1054, 7218, 1060, 4600, 3943, 1222, 1225, 19388, 6822, 1225, 1180, 9833, 11021, 26582, 1009, 26465, 1006, 2360, 30610, 2769, 1005, 26139, 1006, 8116, 1049, 6322, 20690, 1026, 28004, 1060, 1180, 9833, 16831, 20420, 1620, 1124, 4496, 8718, 15807, 17630, 5978, 1060, 6338, 1009, 15421, 1159, 3182, 5098, 1049, 10123, 1463, 1490, 1161, 1009, 2252, 1124, 20031, 1049, 19388, 6822, 1006, 2991, 1049, 1566, 2755, 1054, 6780, 1159, 6908, 9186, 8250, 1005, 19690, 9877, 1734, 18257, 17630, 11980, 1049, 1720, 1060, 27757, 30148, 10821, 1068, 1006, 6338, 2769, 1009, 15421, 1114, 8346, 1525, 2769, 1049, 1073, 9833, 18257, 17630, 5978, 1009, 1094, 31830, 3087, 1009, 22573, 1049, 4249, 17228, 1480, 1068, 1132, 5278, 1060, 15421, 18257, 17630, 4173, 1187, 24538, 1009, 12068, 1005, 31936, 1060, 1180, 9833, 1561, 6135, 17630, 11765, 1049, 2743, 1205, 6625 ]

[ 4388, 1094, 5223, 1009, 8942, 2007, 1447, 1120, 1069, 1043, 1132, 3328, 21463, 1048, 1264, 5662, 27389, 1026, 31313, 20903, 1068, 4885, 6603, 13178, 4706, 25446, 1005, 1419, 18426, 29384, 30485, 1007, 1005, 1026, 1008, 1438, 1117, 6505, 2072, 6772, 1707, 1005, 8101, 2007, 6080, 2898, 19620, 1159, 1044, 8449, 16019, 1605, 5997, 8140, 31381, 1044, 3112, 8634, 1048, 1160, 3012, 1178, 17379, 1567, 6789, 5847, 1264, 7351, 1094, 4005, 19699, 1058, 4219, 1026, 3266, 8191, 2629, 2306, 6701, 19569, 53, 2975, 1048, 2011, 1096, 1668, 19969, 10229, 11215, 1114, 22056, 15507, 11011, 1497, 1054, 1235, 16249, 20, 1150, 1110, 49, 7789, 13787, 1005, 16600, 1094, 22730, 2007, 74, 3198, 1157, 1026, 23133, 1448, 7207, 1356, 15650, 1100, 5, 1117, 7232, 1787, 1043, 1026, 22530, 1060, 14044, 4003, 1058, 4388, 22715, 1009, 1235, 3152, 2453, 1567, 2097, 1264, 1836, 1786, 1599, 26982, 1157, 1026, 5847, 5, 85, 1784, 5747, 22050, 1870, 23678, 3198, 1157, 7784, 1043, 1026, 10720, 9750, 2503, 1553, 29172, 1629, 8032, 3057, 1531, 19439, 1592, 1294, 5635, 1184, 4605, 29547, 22157, 2269, 1298, 6394, 5766, 85, 1005, 5545, 2007, 1036, 15531, 1187, 3056, 1169, 1122, 1269, 1060, 14044, 27389, 1026, 1622, 1271, 3701, 6852, 2987, 1009, 5319, 20, 1, 19635, 1009, 31739, 11370, 2593, 1072, 5485, 9826, 1009, 3285, 1226, 1511, 6757, 11370, 1325, 1072, 5485, 9826, 1009, 3379, 1103, 2461, 21824, 11068, 1162, 1694, 1006, 2490, 1049, 13402, 1433, 4476, 1152, 4878, 1175, 1013, 1468, 1152, 23301, 4520, 18441, 1056, 1075, 18441, 1056, 1420, 9111, 1241, 1897, 19269, 1022, 3216, 1091, 12926, 3024, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 17611, 9574, 6538, 1152, 63, 2077, 11370, 1152, 0, 959, 1152, 0, 872, 1152, 63, 2077, 11370, 17008, 10397, 2902, 89, 2077, 19866, 18354, 9574, 6538, 17008, 2077, 11370, 1152, 0, 959, 1152, 0, 872, 17008, 2077, 11370, 23619, 1553, 1049, 2709, 31686, 2902, 89, 2077, 18696, 9574, 6538, 9574, 2077, 11370, 1152, 0, 959, 1152, 0, 872, 9574, 2077, 11370, 17620, 1223, 1227, 11631, 31686, 2902, 89, 2077, 18831, 11801, 5279, 81, 2024, 10071, 10589, 91, 1152, 0, 959, 1152, 897, 872, 10071, 10589, 91, 16453, 75, 1078, 1226, 1049, 2709, 19271, 11801, 5279, 81, 2024, 16453, 28267, 11370, 1152, 0, 959, 1152, 0, 675, 872, 16453, 28267, 11370, 16453, 75, 1078, 1226, 1049, 3826, 20201, 11801, 5279, 81, 2024, 1152, 59, 1590, 11370, 1152, 0, 959, 1152, 0, 872, 17008, 2902, 11370, 9574, 18170, 1574, 4000, 8998, 2902, 21280, 17008, 85, 1103, 2461, 21824, 18441, 1056, 11370, 1152, 963, 959, 1152, 0, 872, 18441, 2344, 26397, 1075, 15, 13166, 12719, 1574, 4000, 8998, 26778, 1163, 10397, 2902, 77, 1803, 22533, 17008, 85, 1103, 2461, 21824, 9574, 1956, 11370, 1152, 0, 959, 1152, 0, 675, 872, 9574, 1956, 11370, 17620, 1223, 1227, 25088, 93, 1081, 23856, 17008, 85, 1103, 2461, 21824, 10071, 10397, 2902, 11370, 1152, 0, 959, 1152, 0, 872, 10071, 10397, 2902, 11370, 17008, 2077, 93, 1081, 16467, 1152, 3133, 5704, 1009, 31739, 11370, 1836, 1072, 5485, 9826, 1009, 1067, 28521, 2097, 6757, 11370, 1836, 1072, 5485, 9826, 1009, 3379, 1103, 2461, 75, 27686, 1172, 1056, 1075, 1009, 31739, 11370, 1096, 675, 0, 959, 18, 6757, 1420, 1096, 675, 0, 872, 18, 1224, 3861, 1096, 31739, 11370, 1005, 1235, 12227, 12926, 1096, 1026, 19866, 1163, 10397, 2902, 89, 2077, 19379, 1056, 11370, 1009, 6757, 11370, 1096, 675, 963, 959, 18, 6757, 1420, 1096, 675, 0, 872, 18, 1224, 3861, 1836, 1054, 1603, 10696, 1005, 1235, 12227, 12926, 5631, 11631, 1574, 4000, 8998, 2902, 1005, 1163, 10397, 2902, 77, 3158, 1, 8454, 5753, 1044, 2729, 7326, 1322, 1044, 23007, 16719, 1048, 6868, 26924, 10532, 7000, 1054, 28969, 1014, 1072, 3239, 1009, 16521, 10912, 27278, 10518, 28969, 1870, 1566, 5756, 1044, 13760, 8437, 24624, 1009, 5638, 1770, 1412, 1006, 4022, 2995, 1517, 1069, 1043, 1086, 2222, 1005, 1057, 6857, 2995, 88, 1509, 1079, 1159, 1026, 8190, 1449, 1035, 1022, 1468, 3193, 2701, 13760, 16719, 1836, 23069, 8437, 29801, 5846, 1412, 24076, 1005, 10892, 2555, 13750, 1054, 2318, 5076, 1005, 1114, 6586, 1940, 29181, 1006, 12498, 12866, 1132, 7360, 29053, 3696, 1054, 28969, 1870, 13890, 1094, 2423, 10229, 11435, 1006, 19573, 1107, 1009, 26924, 10532, 7000, 1605, 1807, 3181, 1348, 1836, 6718, 1383, 1264, 1195, 19757, 1356, 2468, 19453, 1018, 1049, 13760, 19181, 9285, 1213, 13760, 1118, 1048, 1836, 2072, 1080, 14465, 1383, 1026, 10833, 1419, 12476, 11672, 1278, 4895, 17339, 19375, 1069, 1043, 1124, 3460, 21306, 4073, 14837, 2348, 18745, 1006, 2423, 1048, 1503, 1345, 14431, 1370, 1150, 6497, 4040, 1014, 10532, 7351, 31260, 1132, 19453, 1018, 1049, 13760, 4003, 7351, 1006, 23586, 1006, 9468, 7253, 1124, 18568, 4003, 3708, 1072, 13760, 1044, 7196, 1009, 3961, 5026, 1664, 5224, 1048, 1998, 14646, 1717, 2841, 1222, 1024, 29053, 4253, 1009, 6728, 2328, 1009, 1224, 2423, 1605, 13760, 13890, 18, 6119, 1044, 2574, 1686, 3693, 1221, 3385, 1235, 24250, 4541, 1044, 6550, 1187, 5635, 11731, 1006, 3938, 1005, 1006, 6723, 3586, 24079, 18522, 6497, 4040, 1014, 10532, 15964, 14638, 1043, 1026, 13760, 31389, 1034, 1048, 1006, 2423, 3012, 10572, 1132, 11145, 5026, 1543, 1539, 3511, 1026, 3679, 1005, 24257, 1383, 13275, 1124, 6963, 1054, 2693, 1006, 1224, 12068, 3436, 13760, 1005, 1026, 3181, 1348, 1058, 3959, 1202, 3385, 1026, 5317, 4313, 1160, 7023, 1043, 1989, 1531, 1605, 10833, 4551, 1599, 14780, 1224, 2042, 5026, 22772, 25601, 1005, 16900, 3193, 1463, 9496, 1060, 2423, 1049, 13760, 1576, 20272, 6993, 1132, 15116, 1049, 11839, 10532, 1009, 26924, 1128, 1833, 9191, 27272, 2445, 1068, 24279, 1224, 12596, 1383, 3233, 1041, 150, 9362, 1043, 4318, 1005, 8329, 8023, 2077, 10912, 27278, 1184, 3232, 1201, 1461, 2122, 2042, 5026, 1044, 13760, 1005, 1044, 2792, 1048, 1160, 17811, 29817, 1114, 3374, 1026, 1622, 1009, 31805, 1964, 2555, 1769, 1026, 1048, 1294, 21635, 1005, 1294, 1381, 1376, 1396, 3144, 1, 5344, 1195, 1026, 1557, 13510, 1068, 1006, 14160, 1578, 10141, 2550, 1009, 3813, 1009, 4586, 1160, 2449, 3177, 1213, 4025, 7347, 1213, 1428, 1299, 1325, 1058, 11430, 5080, 1298, 3823, 1184, 2266, 37, 1, 1186, 19415, 6743, 4654, 2578, 1779, 1206, 1799, 8644, 4654, 2578, 45, 1241, 1307, 8644, 29152, 24845, 3130, 24, 27056, 2654, 2449, 1044, 3609, 1009, 8079, 2301, 1026, 29152, 24845, 1048, 5325, 1493, 1680, 1072, 14203, 1005, 1072, 31157, 1309, 3074, 3027, 1044, 2863, 1054, 15704, 3527, 8347, 1072, 6743, 4654, 2578, 1779, 1005, 10396, 2240, 1138, 3609, 5090, 1680, 1005, 10029, 2348, 3922, 3272, 5953, 5442, 7092, 1072, 2092, 2535, 1096, 1657, 1094, 6046, 1009, 18355, 1565, 5445, 4688, 1009, 4599, 1327, 5227, 1166, 1005, 2092, 2326, 7962, 17351, 1325, 11039, 14515, 2240, 8295, 1264, 1068, 1005, 3192, 2421, 1802, 2240, 2654, 7874, 1089, 1124, 7220, 1150, 31496, 11571, 8, 1213, 2729, 1049, 2326, 1005, 10029, 1048, 1264, 7032, 1213, 3311, 1009, 1697, 22821, 20, 28964, 2061, 2264, 1005, 1846, 3833, 15811, 3074, 7479, 3723, 1026, 5434, 1043, 1026, 29152, 1068, 3291, 1026, 1048, 1663, 1006, 4054, 1206, 1159, 10388, 10577, 1620, 1184, 1068, 20800, 1428, 1298, 1178, 1026, 2326, 1049, 2863, 12994, 1667, 42, 8560, 1049, 29613, 17755, 2061, 7955, 1026, 28199, 13871, 1009, 10142, 1009, 1004, 1803, 1068, 1048, 1026, 2326, 1058, 14881, 1493, 2444, 9379, 3144, 2240, 2654, 10029, 1989, 3481, 1072, 5766, 1324, 1309, 1160, 2449, 9026, 1049, 1048, 1616, 3901, 1206, 1159, 7336, 79, 3527, 32, 2674, 1697, 3316, 8559, 1049, 2446, 14409, 14121, 18294, 57, 14683, 15516, 11961, 13, 5687, 1054, 8680, 20, 2399, 17467, 84, 3158, 74, 2796, 1005, 1160, 1195, 12196, 1996, 1009, 1044, 7166, 8700, 2408, 15589, 2389, 5125, 2771, 10620, 2143, 3481, 1206, 2073, 4701, 1096, 13510, 1072, 5766, 1802, 58, 21151, 10513, 1024, 2220, 1026, 2092, 2326, 1009, 29613, 17755, 1118, 1782, 9354, 1043, 1044, 2279, 19284, 2703, 1005, 1989, 3481, 1096, 1927, 23630, 1996, 1009, 1697, 22821, 20, 28964, 2061, 2264, 1096, 1770, 1599, 2276, 1160, 5192, 1058, 1325, 2852, 2270, 1260, 21, 1282, 1682, 7273, 1006, 5865, 14632, 1048, 1503, 8476, 1026, 3609, 1072, 1156, 43, 1114, 2236, 1009, 2011, 1005, 5325, 1680, 19219, 2240, 7804, 2348, 4960, 12638, 1159, 9133, 1068, 10388, 10577, 10494, 9668, 2550, 1009, 3813, 1060, 4586, 1160, 3002, 6811, 1206, 5719, 3819, 2868, 1072, 2092, 17899, 1068, 1048, 1160, 4172, 10388, 10577, 7215, 1989, 2863, 3942, 2268, 1299, 1298, 11542, 1124, 4496, 6982, 1068, 10388, 10577, 1235, 3609, 4654, 2578, 45, 1241, 2301, 1026, 29152, 24845, 1072, 6743, 4654, 2578, 1779, 1005, 1799, 5302, 8017, 24644, 6029, 12631, 1006, 24644, 31137, 4279, 1048, 1299, 1058, 1125, 24408, 1213, 1235, 3609, 4654, 2578, 45, 5071, 1054, 1044, 7044, 6743, 4654, 2578, 2301, 1124, 6099, 1009, 20477, 1049, 9740, 1060, 2236, 1009, 2011, 5981, 18450, 1299, 1006, 1419, 1006, 5351, 1049, 13577, 7636, 5685, 1048, 22497, 1202, 1005, 1318, 1006, 5149, 3328, 1009, 21749, 1072, 1235, 2326, 6143, 8017, 1026, 15367, 13081, 32, 1299, 1298, 2071, 1026, 15367, 13081, 1060, 8680, 1068, 10388, 10577, 1235, 3609, 4654, 2578, 45, 1241, 1072, 6743, 4654, 17467, 53, 15367, 13081, 5631, 6099, 1009, 24644, 1048, 10316, 10388, 10577, 5729, 10816, 1005, 29035, 6291, 7791, 1006, 3069, 29152, 24845, 32, 8707, 1058, 1299, 1325, 2301, 1006, 3069, 10758, 1049, 29152, 24845, 1068, 1026, 6743, 4654, 2578, 1779, 1005, 10396, 11693, 7707, 1049, 29152, 48, 89, 1693, 1160, 8347, 1054, 7707, 1184, 9814, 1049, 6743, 4654, 2578, 6918, 8017, 1006, 6808, 1313, 1965, 32, 1299, 1298, 2071, 1006, 6808, 24062, 1009, 12102, 2484, 1009, 11019, 6743, 8847, 1965, 15, 1068, 5379, 1235, 3609, 1068, 22996, 1005, 1734, 3171, 1996, 1009, 7028, 150, 3527, 1054, 1044, 7044, 6743, 4654, 2578, 8156, 7791, 1058, 1837, 3171, 1072, 3319, 1049, 2380, 32, 1063, 4253, 1009, 3481, 29045, 1298, 2593, 13742, 1006, 1044, 2863, 1072, 3319, 1049, 19546, 17535, 1058, 1826, 5262, 3473, 8957, 1068, 1026, 6743, 4654, 2578, 1005, 1318, 9608, 5719, 1026, 3609, 1054, 1734, 8255, 1049, 6743, 4654, 2578, 1068, 1419, 1058, 1026, 2863, 1096, 7347, 1068, 1044, 7044, 7347, 1658, 24644, 1298, 1178, 1044, 2568, 9583, 7169, 1309, 2301, 1124, 6099, 1005, 6306, 4592, 1273, 1299, 1298, 7449, 1005, 10380, 3171, 6154, 8309, 5385, 7061, 7, 1, 4638, 1094, 2423, 1114, 1428, 13149, 11948, 24411, 1005, 3250, 1044, 12351, 10692, 1599, 1043, 3974, 10117, 11544, 1009, 16493, 19674, 11367, 21762, 1083, 14079, 2883, 1503, 12783, 1357, 1641, 1009, 16886, 11094, 5131, 1836, 15472, 4859, 17549, 20232, 7655, 2276, 1503, 3745, 1006, 13961, 1060, 3548, 9384, 8684, 21007, 16719, 1005, 25986, 11367, 15024, 10122, 78, 1172, 11508, 4041, 1224, 3938, 7455, 6885, 18, 5640, 16645, 1060, 1224, 12739, 2072, 28410, 6889, 27771, 1213, 16534, 1456, 9198, 1058, 11320, 1035, 2758, 18, 10888, 1010, 1009, 8942, 1005, 5025, 1455, 1029, 3085, 2445, 11367, 3196, 1101, 10122, 8684, 21007, 1043, 5281, 2072, 14711, 9384, 13204, 1175, 162, 3308, 1009, 13982, 1094, 4123, 16354, 7655, 1511, 1323, 3260, 10277, 15519, 1044, 2383, 2162, 19086, 1605, 1238, 2793, 9061, 1005, 2092, 3152, 2793, 16114, 11367, 15024, 10122, 78, 1172, 11508, 4041, 1224, 3938, 7455, 6885, 18, 5640, 16645, 1060, 1224, 12739, 2072, 28410, 6889, 27771, 1213, 16534, 1456, 9198, 1058, 11320, 1035, 2758, 18, 10888, 1010, 1009, 8942, 1005, 5025, 1455, 1029, 3085, 2445, 11367, 54, 2675, 10122, 8684, 21007, 1044, 24469, 1068, 2143, 1784, 9384, 2269, 1009, 16178, 1571, 1124, 15370, 1327, 25911, 1312, 9493, 10029, 2289, 8318, 1026, 26385, 1005, 1026, 19187, 5, 123, 4375, 1048, 1006, 2042, 1009, 16493, 19674, 1058, 19050, 11367, 15024, 10122, 78, 1172, 11508, 4041, 1224, 3938, 7455, 6885, 18, 5640, 16645, 1060, 1224, 12739, 2072, 28410, 6889, 27771, 1213, 16534, 1456, 9198, 1058, 11320, 1035, 2758, 18, 10888, 1010, 1009, 8942, 1005, 5025, 1455, 1029, 3085, 2445, 11367, 27438, 7199, 85, 3417, 24411, 1068, 22967, 13153, 3152, 1620, 2553, 18, 2348, 4123, 1651, 6336, 21761, 1026, 12351, 6313, 150, 1054, 2348, 5131, 9384, 15531, 1009, 1044, 1784, 4417, 1009, 2808, 20, 1, 8949, 1044, 7566, 1049, 2859, 1049, 2511, 2859, 1009, 9746, 17062, 3106, 11285, 19, 2366, 2792, 1048, 18367, 2317, 1016, 9811, 2309, 26811, 26477, 1048, 1026, 6011, 1288, 19345, 1195, 7952, 1069, 2246, 1264, 15317, 2317, 1016, 1005, 6701, 1009, 1044, 6147, 1240, 21037, 1006, 5813, 1051, 2972, 1009, 24219, 8, 53, 31330, 1973, 4886, 11999, 1113, 4826, 39, 28502, 24663, 46, 4326, 5159, 1079, 1118, 1356, 2444, 1094, 3757, 1068, 16012, 1006, 24444, 1973, 1026, 31330, 1054, 1094, 15650, 71, 1717, 5569, 24071, 18, 1048, 1195, 7552 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4388, 1094, 5223, 1009, 8942, 2007, 1447, 1120, 1069, 1043, 1132, 3328, 21463, 1048, 1264, 5662, 27389, 1026, 31313, 20903, 1068, 4885, 6603, 13178, 4706, 25446, 1005, 1419, 18426, 29384, 30485, 1007, 1005, 1026, 1008, 1438, 1117, 6505, 2072, 6772, 1707, 1005, 8101, 2007, 6080, 2898, 19620, 1159, 1044, 8449, 16019, 1605, 5997, 8140, 31381, 1044, 3112, 8634, 1048, 1160, 3012, 1178, 17379, 1567, 6789, 5847, 1264, 7351, 1094, 4005, 19699, 1058, 4219, 1026, 3266, 8191, 2629, 2306, 6701, 19569, 53, 2975, 1048, 2011, 1096, 1668, 19969, 10229, 11215, 1114, 22056, 15507, 11011, 1497, 1054, 1235, 16249, 20, 1150, 1110, 49, 7789, 13787, 1005, 16600, 1094, 22730, 2007, 74, 3198, 1157, 1026, 23133, 1448, 7207, 1356, 15650, 1100, 5, 1117, 7232, 1787, 1043, 1026, 22530, 1060, 14044, 4003, 1058, 4388, 22715, 1009, 1235, 3152, 2453, 1567, 2097, 1264, 1836, 1786, 1599, 26982, 1157, 1026, 5847, 5, 85, 1784, 5747, 22050, 1870, 23678, 3198, 1157, 7784, 1043, 1026, 10720, 9750, 2503, 1553, 29172, 1629, 8032, 3057, 1531, 19439, 1592, 1294, 5635, 1184, 4605, 29547, 22157, 2269, 1298, 6394, 5766, 85, 1005, 5545, 2007, 1036, 15531, 1187, 3056, 1169, 1122, 1269, 1060, 14044, 27389, 1026, 1622, 1271, 3701, 6852, 2987, 1009, 5319, 20, 1, 19635, 1009, 31739, 11370, 2593, 1072, 5485, 9826, 1009, 3285, 1226, 1511, 6757, 11370, 1325, 1072, 5485, 9826, 1009, 3379, 1103, 2461, 21824, 11068, 1162, 1694, 1006, 2490, 1049, 13402, 1433, 4476, 1152, 4878, 1175, 1013, 1468, 1152, 23301, 4520, 18441, 1056, 1075, 18441, 1056, 1420, 9111, 1241, 1897, 19269, 1022, 3216, 1091, 12926, 3024, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 1152, 1978, 16615, 17611, 9574, 6538, 1152, 63, 2077, 11370, 1152, 0, 959, 1152, 0, 872, 1152, 63, 2077, 11370, 17008, 10397, 2902, 89, 2077, 19866, 18354, 9574, 6538, 17008, 2077, 11370, 1152, 0, 959, 1152, 0, 872, 17008, 2077, 11370, 23619, 1553, 1049, 2709, 31686, 2902, 89, 2077, 18696, 9574, 6538, 9574, 2077, 11370, 1152, 0, 959, 1152, 0, 872, 9574, 2077, 11370, 17620, 1223, 1227, 11631, 31686, 2902, 89, 2077, 18831, 11801, 5279, 81, 2024, 10071, 10589, 91, 1152, 0, 959, 1152, 897, 872, 10071, 10589, 91, 16453, 75, 1078, 1226, 1049, 2709, 19271, 11801, 5279, 81, 2024, 16453, 28267, 11370, 1152, 0, 959, 1152, 0, 675, 872, 16453, 28267, 11370, 16453, 75, 1078, 1226, 1049, 3826, 20201, 11801, 5279, 81, 2024, 1152, 59, 1590, 11370, 1152, 0, 959, 1152, 0, 872, 17008, 2902, 11370, 9574, 18170, 1574, 4000, 8998, 2902, 21280, 17008, 85, 1103, 2461, 21824, 18441, 1056, 11370, 1152, 963, 959, 1152, 0, 872, 18441, 2344, 26397, 1075, 15, 13166, 12719, 1574, 4000, 8998, 26778, 1163, 10397, 2902, 77, 1803, 22533, 17008, 85, 1103, 2461, 21824, 9574, 1956, 11370, 1152, 0, 959, 1152, 0, 675, 872, 9574, 1956, 11370, 17620, 1223, 1227, 25088, 93, 1081, 23856, 17008, 85, 1103, 2461, 21824, 10071, 10397, 2902, 11370, 1152, 0, 959, 1152, 0, 872, 10071, 10397, 2902, 11370, 17008, 2077, 93, 1081, 16467, 1152, 3133, 5704, 1009, 31739, 11370, 1836, 1072, 5485, 9826, 1009, 1067, 28521, 2097, 6757, 11370, 1836, 1072, 5485, 9826, 1009, 3379, 1103, 2461, 75, 27686, 1172, 1056, 1075, 1009, 31739, 11370, 1096, 675, 0, 959, 18, 6757, 1420, 1096, 675, 0, 872, 18, 1224, 3861, 1096, 31739, 11370, 1005, 1235, 12227, 12926, 1096, 1026, 19866, 1163, 10397, 2902, 89, 2077, 19379, 1056, 11370, 1009, 6757, 11370, 1096, 675, 963, 959, 18, 6757, 1420, 1096, 675, 0, 872, 18, 1224, 3861, 1836, 1054, 1603, 10696, 1005, 1235, 12227, 12926, 5631, 11631, 1574, 4000, 8998, 2902, 1005, 1163, 10397, 2902, 77, 3158, 1, 8454, 5753, 1044, 2729, 7326, 1322, 1044, 23007, 16719, 1048, 6868, 26924, 10532, 7000, 1054, 28969, 1014, 1072, 3239, 1009, 16521, 10912, 27278, 10518, 28969, 1870, 1566, 5756, 1044, 13760, 8437, 24624, 1009, 5638, 1770, 1412, 1006, 4022, 2995, 1517, 1069, 1043, 1086, 2222, 1005, 1057, 6857, 2995, 88, 1509, 1079, 1159, 1026, 8190, 1449, 1035, 1022, 1468, 3193, 2701, 13760, 16719, 1836, 23069, 8437, 29801, 5846, 1412, 24076, 1005, 10892, 2555, 13750, 1054, 2318, 5076, 1005, 1114, 6586, 1940, 29181, 1006, 12498, 12866, 1132, 7360, 29053, 3696, 1054, 28969, 1870, 13890, 1094, 2423, 10229, 11435, 1006, 19573, 1107, 1009, 26924, 10532, 7000, 1605, 1807, 3181, 1348, 1836, 6718, 1383, 1264, 1195, 19757, 1356, 2468, 19453, 1018, 1049, 13760, 19181, 9285, 1213, 13760, 1118, 1048, 1836, 2072, 1080, 14465, 1383, 1026, 10833, 1419, 12476, 11672, 1278, 4895, 17339, 19375, 1069, 1043, 1124, 3460, 21306, 4073, 14837, 2348, 18745, 1006, 2423, 1048, 1503, 1345, 14431, 1370, 1150, 6497, 4040, 1014, 10532, 7351, 31260, 1132, 19453, 1018, 1049, 13760, 4003, 7351, 1006, 23586, 1006, 9468, 7253, 1124, 18568, 4003, 3708, 1072, 13760, 1044, 7196, 1009, 3961, 5026, 1664, 5224, 1048, 1998, 14646, 1717, 2841, 1222, 1024, 29053, 4253, 1009, 6728, 2328, 1009, 1224, 2423, 1605, 13760, 13890, 18, 6119, 1044, 2574, 1686, 3693, 1221, 3385, 1235, 24250, 4541, 1044, 6550, 1187, 5635, 11731, 1006, 3938, 1005, 1006, 6723, 3586, 24079, 18522, 6497, 4040, 1014, 10532, 15964, 14638, 1043, 1026, 13760, 31389, 1034, 1048, 1006, 2423, 3012, 10572, 1132, 11145, 5026, 1543, 1539, 3511, 1026, 3679, 1005, 24257, 1383, 13275, 1124, 6963, 1054, 2693, 1006, 1224, 12068, 3436, 13760, 1005, 1026, 3181, 1348, 1058, 3959, 1202, 3385, 1026, 5317, 4313, 1160, 7023, 1043, 1989, 1531, 1605, 10833, 4551, 1599, 14780, 1224, 2042, 5026, 22772, 25601, 1005, 16900, 3193, 1463, 9496, 1060, 2423, 1049, 13760, 1576, 20272, 6993, 1132, 15116, 1049, 11839, 10532, 1009, 26924, 1128, 1833, 9191, 27272, 2445, 1068, 24279, 1224, 12596, 1383, 3233, 1041, 150, 9362, 1043, 4318, 1005, 8329, 8023, 2077, 10912, 27278, 1184, 3232, 1201, 1461, 2122, 2042, 5026, 1044, 13760, 1005, 1044, 2792, 1048, 1160, 17811, 29817, 1114, 3374, 1026, 1622, 1009, 31805, 1964, 2555, 1769, 1026, 1048, 1294, 21635, 1005, 1294, 1381, 1376, 1396, 3144, 1, 5344, 1195, 1026, 1557, 13510, 1068, 1006, 14160, 1578, 10141, 2550, 1009, 3813, 1009, 4586, 1160, 2449, 3177, 1213, 4025, 7347, 1213, 1428, 1299, 1325, 1058, 11430, 5080, 1298, 3823, 1184, 2266, 37, 1, 1186, 19415, 6743, 4654, 2578, 1779, 1206, 1799, 8644, 4654, 2578, 45, 1241, 1307, 8644, 29152, 24845, 3130, 24, 27056, 2654, 2449, 1044, 3609, 1009, 8079, 2301, 1026, 29152, 24845, 1048, 5325, 1493, 1680, 1072, 14203, 1005, 1072, 31157, 1309, 3074, 3027, 1044, 2863, 1054, 15704, 3527, 8347, 1072, 6743, 4654, 2578, 1779, 1005, 10396, 2240, 1138, 3609, 5090, 1680, 1005, 10029, 2348, 3922, 3272, 5953, 5442, 7092, 1072, 2092, 2535, 1096, 1657, 1094, 6046, 1009, 18355, 1565, 5445, 4688, 1009, 4599, 1327, 5227, 1166, 1005, 2092, 2326, 7962, 17351, 1325, 11039, 14515, 2240, 8295, 1264, 1068, 1005, 3192, 2421, 1802, 2240, 2654, 7874, 1089, 1124, 7220, 1150, 31496, 11571, 8, 1213, 2729, 1049, 2326, 1005, 10029, 1048, 1264, 7032, 1213, 3311, 1009, 1697, 22821, 20, 28964, 2061, 2264, 1005, 1846, 3833, 15811, 3074, 7479, 3723, 1026, 5434, 1043, 1026, 29152, 1068, 3291, 1026, 1048, 1663, 1006, 4054, 1206, 1159, 10388, 10577, 1620, 1184, 1068, 20800, 1428, 1298, 1178, 1026, 2326, 1049, 2863, 12994, 1667, 42, 8560, 1049, 29613, 17755, 2061, 7955, 1026, 28199, 13871, 1009, 10142, 1009, 1004, 1803, 1068, 1048, 1026, 2326, 1058, 14881, 1493, 2444, 9379, 3144, 2240, 2654, 10029, 1989, 3481, 1072, 5766, 1324, 1309, 1160, 2449, 9026, 1049, 1048, 1616, 3901, 1206, 1159, 7336, 79, 3527, 32, 2674, 1697, 3316, 8559, 1049, 2446, 14409, 14121, 18294, 57, 14683, 15516, 11961, 13, 5687, 1054, 8680, 20, 2399, 17467, 84, 3158, 74, 2796, 1005, 1160, 1195, 12196, 1996, 1009, 1044, 7166, 8700, 2408, 15589, 2389, 5125, 2771, 10620, 2143, 3481, 1206, 2073, 4701, 1096, 13510, 1072, 5766, 1802, 58, 21151, 10513, 1024, 2220, 1026, 2092, 2326, 1009, 29613, 17755, 1118, 1782, 9354, 1043, 1044, 2279, 19284, 2703, 1005, 1989, 3481, 1096, 1927, 23630, 1996, 1009, 1697, 22821, 20, 28964, 2061, 2264, 1096, 1770, 1599, 2276, 1160, 5192, 1058, 1325, 2852, 2270, 1260, 21, 1282, 1682, 7273, 1006, 5865, 14632, 1048, 1503, 8476, 1026, 3609, 1072, 1156, 43, 1114, 2236, 1009, 2011, 1005, 5325, 1680, 19219, 2240, 7804, 2348, 4960, 12638, 1159, 9133, 1068, 10388, 10577, 10494, 9668, 2550, 1009, 3813, 1060, 4586, 1160, 3002, 6811, 1206, 5719, 3819, 2868, 1072, 2092, 17899, 1068, 1048, 1160, 4172, 10388, 10577, 7215, 1989, 2863, 3942, 2268, 1299, 1298, 11542, 1124, 4496, 6982, 1068, 10388, 10577, 1235, 3609, 4654, 2578, 45, 1241, 2301, 1026, 29152, 24845, 1072, 6743, 4654, 2578, 1779, 1005, 1799, 5302, 8017, 24644, 6029, 12631, 1006, 24644, 31137, 4279, 1048, 1299, 1058, 1125, 24408, 1213, 1235, 3609, 4654, 2578, 45, 5071, 1054, 1044, 7044, 6743, 4654, 2578, 2301, 1124, 6099, 1009, 20477, 1049, 9740, 1060, 2236, 1009, 2011, 5981, 18450, 1299, 1006, 1419, 1006, 5351, 1049, 13577, 7636, 5685, 1048, 22497, 1202, 1005, 1318, 1006, 5149, 3328, 1009, 21749, 1072, 1235, 2326, 6143, 8017, 1026, 15367, 13081, 32, 1299, 1298, 2071, 1026, 15367, 13081, 1060, 8680, 1068, 10388, 10577, 1235, 3609, 4654, 2578, 45, 1241, 1072, 6743, 4654, 17467, 53, 15367, 13081, 5631, 6099, 1009, 24644, 1048, 10316, 10388, 10577, 5729, 10816, 1005, 29035, 6291, 7791, 1006, 3069, 29152, 24845, 32, 8707, 1058, 1299, 1325, 2301, 1006, 3069, 10758, 1049, 29152, 24845, 1068, 1026, 6743, 4654, 2578, 1779, 1005, 10396, 11693, 7707, 1049, 29152, 48, 89, 1693, 1160, 8347, 1054, 7707, 1184, 9814, 1049, 6743, 4654, 2578, 6918, 8017, 1006, 6808, 1313, 1965, 32, 1299, 1298, 2071, 1006, 6808, 24062, 1009, 12102, 2484, 1009, 11019, 6743, 8847, 1965, 15, 1068, 5379, 1235, 3609, 1068, 22996, 1005, 1734, 3171, 1996, 1009, 7028, 150, 3527, 1054, 1044, 7044, 6743, 4654, 2578, 8156, 7791, 1058, 1837, 3171, 1072, 3319, 1049, 2380, 32, 1063, 4253, 1009, 3481, 29045, 1298, 2593, 13742, 1006, 1044, 2863, 1072, 3319, 1049, 19546, 17535, 1058, 1826, 5262, 3473, 8957, 1068, 1026, 6743, 4654, 2578, 1005, 1318, 9608, 5719, 1026, 3609, 1054, 1734, 8255, 1049, 6743, 4654, 2578, 1068, 1419, 1058, 1026, 2863, 1096, 7347, 1068, 1044, 7044, 7347, 1658, 24644, 1298, 1178, 1044, 2568, 9583, 7169, 1309, 2301, 1124, 6099, 1005, 6306, 4592, 1273, 1299, 1298, 7449, 1005, 10380, 3171, 6154, 8309, 5385, 7061, 7, 1, 4638, 1094, 2423, 1114, 1428, 13149, 11948, 24411, 1005, 3250, 1044, 12351, 10692, 1599, 1043, 3974, 10117, 11544, 1009, 16493, 19674, 11367, 21762, 1083, 14079, 2883, 1503, 12783, 1357, 1641, 1009, 16886, 11094, 5131, 1836, 15472, 4859, 17549, 20232, 7655, 2276, 1503, 3745, 1006, 13961, 1060, 3548, 9384, 8684, 21007, 16719, 1005, 25986, 11367, 15024, 10122, 78, 1172, 11508, 4041, 1224, 3938, 7455, 6885, 18, 5640, 16645, 1060, 1224, 12739, 2072, 28410, 6889, 27771, 1213, 16534, 1456, 9198, 1058, 11320, 1035, 2758, 18, 10888, 1010, 1009, 8942, 1005, 5025, 1455, 1029, 3085, 2445, 11367, 3196, 1101, 10122, 8684, 21007, 1043, 5281, 2072, 14711, 9384, 13204, 1175, 162, 3308, 1009, 13982, 1094, 4123, 16354, 7655, 1511, 1323, 3260, 10277, 15519, 1044, 2383, 2162, 19086, 1605, 1238, 2793, 9061, 1005, 2092, 3152, 2793, 16114, 11367, 15024, 10122, 78, 1172, 11508, 4041, 1224, 3938, 7455, 6885, 18, 5640, 16645, 1060, 1224, 12739, 2072, 28410, 6889, 27771, 1213, 16534, 1456, 9198, 1058, 11320, 1035, 2758, 18, 10888, 1010, 1009, 8942, 1005, 5025, 1455, 1029, 3085, 2445, 11367, 54, 2675, 10122, 8684, 21007, 1044, 24469, 1068, 2143, 1784, 9384, 2269, 1009, 16178, 1571, 1124, 15370, 1327, 25911, 1312, 9493, 10029, 2289, 8318, 1026, 26385, 1005, 1026, 19187, 5, 123, 4375, 1048, 1006, 2042, 1009, 16493, 19674, 1058, 19050, 11367, 15024, 10122, 78, 1172, 11508, 4041, 1224, 3938, 7455, 6885, 18, 5640, 16645, 1060, 1224, 12739, 2072, 28410, 6889, 27771, 1213, 16534, 1456, 9198, 1058, 11320, 1035, 2758, 18, 10888, 1010, 1009, 8942, 1005, 5025, 1455, 1029, 3085, 2445, 11367, 27438, 7199, 85, 3417, 24411, 1068, 22967, 13153, 3152, 1620, 2553, 18, 2348, 4123, 1651, 6336, 21761, 1026, 12351, 6313, 150, 1054, 2348, 5131, 9384, 15531, 1009, 1044, 1784, 4417, 1009, 2808, 20, 1, 8949, 1044, 7566, 1049, 2859, 1049, 2511, 2859, 1009, 9746, 17062, 3106, 11285, 19, 2366, 2792, 1048, 18367, 2317, 1016, 9811, 2309, 26811, 26477, 1048, 1026, 6011, 1288, 19345, 1195, 7952, 1069, 2246, 1264, 15317, 2317, 1016, 1005, 6701, 1009, 1044, 6147, 1240, 21037, 1006, 5813, 1051, 2972, 1009, 24219, 8, 53, 31330, 1973, 4886, 11999, 1113, 4826, 39, 28502, 24663, 46, 4326, 5159, 1079, 1118, 1356, 2444, 1094, 3757, 1068, 16012, 1006, 24444, 1973, 1026, 31330, 1054, 1094, 15650, 71, 1717, 5569, 24071, 18, 1048, 1195, 7552 ]

[ 1573, 11640, 3503, 3958, 18, 15550, 1048, 1006, 5405, 1067, 6372, 2177, 15514, 1068, 12540, 5515, 11, 1213, 1901, 1072, 16444, 1009, 4127, 1704, 3099, 10268, 1318, 6646, 6413, 1114, 3757, 20247, 1006, 1224, 20697, 1068, 1026, 4758, 1049, 23665, 31773, 1106, 29317, 2645, 8182, 15, 1009, 3837, 1054, 9160, 5003, 10390, 1603, 4504, 2166, 2177, 1006, 1712, 9330, 2271, 12041, 1071, 2525, 4705, 11, 1565, 1972, 7218, 1006, 10937, 1049, 3099, 1009, 4758, 1060, 5337, 5092, 1195, 22159, 1054, 6936, 7089, 24572, 3536, 1049, 6840, 1134, 1097, 3662, 1006, 22190, 1049, 3099, 10268, 1068, 1006, 5405, 1009, 18773, 1072, 2822, 1009, 3837, 1195, 22159, 15339, 1054, 2824, 3646, 4700, 1118, 1004, 2954, 3144, 1972, 1026, 13550, 1009, 7218, 1006, 10937, 1187, 26630, 1068, 1006, 5405, 1009, 18773, 3641, 1079, 1009, 2824, 3646, 3663, 1068, 2824, 3646, 6101, 1118, 19277, 1533, 22190, 1187, 5993, 1573, 1049, 3099, 10268, 1068, 1026, 2201, 150, 92, 1041, 1060, 4447, 2648, 4678, 11138, 1790, 1161, 2444, 1966, 1161, 15, 1054, 3837, 14146, 1009, 7294, 14545, 4705, 6616, 1068, 7294, 2182, 6616, 1114, 3757, 12824, 4578, 7218, 1026, 25569, 9923, 3068, 9560, 1048, 1006, 10937, 1187, 5993, 1573, 1068, 1026, 18586, 1060, 4447, 2648, 4678, 8743, 1054, 7294, 1844, 6616, 1009, 2201, 150, 92, 1041, 4908, 2535, 1187, 8235, 14654, 3443, 1229, 1006, 12106, 1049, 3099, 1068, 1026, 21719, 1009, 3837, 1195, 22159, 1054, 7294, 2595, 6616, 20, 1972, 7218, 1006, 22190, 1009, 3583, 1009, 8235, 1072, 1561, 9564, 1009, 7294, 10070, 6616, 1068, 7294, 8060, 6616, 20, 1, 1163, 23, 1175, 1180, 17346, 4114, 1009, 8419, 1118, 3248, 1009, 4472, 18278, 20301, 23670, 1072, 24509, 1175, 4816, 1054, 2293, 3279, 1049, 3826, 8914, 23, 10993, 14290, 22291, 10701, 1175, 14010, 1054, 8584, 10993, 14290, 22291, 10701, 3341, 7210, 1009, 1764, 2434, 1049, 11193, 4189, 79, 29530, 1418, 2568, 1068, 31363, 1009, 7490, 11873, 26581, 1458, 1009, 3381, 1551, 25573, 4611, 1051, 1665, 16469, 2256, 1646, 1054, 3370, 1533, 3597, 20188, 1048, 3550, 1034, 4234, 8419, 12108, 25673, 1356, 11956, 1009, 3381, 1551, 25573, 4611, 4189, 1126, 4472, 18278, 1049, 3338, 1009, 1163, 7591, 1229, 1072, 2638, 1013, 2701, 1049, 1123, 15020, 1005, 1049, 13333, 23567, 8781, 1014, 26046, 13708, 1184, 1094, 4415, 3163, 2006, 1005, 1566, 1298, 1178, 12409, 3567, 1551, 2303, 1043, 5995, 1009, 5829, 1049, 2293, 3279, 1049, 3826, 4139, 48, 12565, 52, 1349, 1026, 9054, 5568, 4257, 14759, 27874, 1060, 31363, 1009, 1764, 2434, 1049, 11193, 4189, 1803, 29530, 1418, 1026, 2568, 1068, 1006, 31363, 1009, 22356, 1571, 7412, 1178, 5191, 1006, 7513, 1049, 1180, 17346, 11939, 15017, 1009, 4125, 1356, 8676, 5995, 1009, 5829, 2794, 58, 28758, 1026, 2568, 2284, 17284, 1068, 1006, 5829, 1049, 2293, 3279, 1049, 3826, 1005, 5467, 1034, 1049, 6840, 1060, 20221, 1009, 1764, 2434, 1049, 11193, 4189, 1192, 1052, 2276, 1178, 25464, 1054, 7490, 20, 1424, 1006, 3597, 18359, 29530, 2154, 1026, 2568, 2177, 17871, 1069, 1068, 1094, 1271, 14678, 89, 1049, 5995, 1049, 1180, 17346, 1009, 7490, 1068, 1048, 1006, 3164, 1049, 10600, 2374, 12409, 1140, 1704, 2535, 1049, 11956, 1009, 1551, 25573, 4611, 1051, 1665, 1005, 1009, 23567, 8781, 1014, 16469, 2256, 1646, 1072, 3810, 1531, 3404, 1009, 30193, 1766, 1791, 1871, 9778, 1890, 1094, 5980, 9674, 3010, 10952, 1236, 1114, 7877, 25714, 2471, 1072, 3338, 1009, 3584, 17959, 1114, 2413, 2638, 1013, 2701, 3359, 1706, 3144, 1138, 4526, 1054, 1048, 3586, 18, 1094, 1008, 1145, 1292, 12731, 3409, 18, 1195, 14378, 1236, 1043, 1026, 7867, 1009, 1351, 18015, 17670, 1766, 4234, 8419, 12108, 25673, 2691, 11832, 1826, 1638, 2184, 1005, 1026, 2535, 1495, 3004, 1160, 1195, 6052, 2270, 1, 25975, 1852, 1049, 4002, 10723, 22, 1144, 1079, 77, 1065, 1298, 5184, 1006, 1178, 30320, 1006, 3295, 1009, 9932, 1152, 4002, 45, 75, 6358, 5, 26955, 1852, 1049, 4002, 10723, 22, 1144, 1079, 77, 1065, 1298, 5184, 1006, 1178, 30320, 1006, 3295, 1009, 9932, 5919, 19051, 1054, 1063, 1385, 15546, 3973, 30661, 4319, 7325, 2204, 17464, 1068, 1132, 14467, 1187, 8255, 1144, 1774, 3662, 1206, 1356, 2444, 1068, 2088, 20, 1067, 2984, 1379, 1233, 1700, 1708, 1006, 4734, 1060, 1493, 11390, 3164, 1009, 4711, 1060, 4958, 3069, 1049, 2380, 2472, 9064, 11016, 1060, 26102, 1026, 4002, 10723, 22, 1144, 1079, 77, 14377, 1048, 7412, 5184, 1006, 1178, 7004, 1140, 1566, 1114, 4958, 15600, 3295, 1009, 9932, 18411, 1096, 1006, 3164, 14859, 1068, 1006, 8957, 1049, 4002, 10723, 22, 1294, 1144, 1774, 1093, 1487, 62, 1005, 1675, 54, 1356, 13091, 15849, 7098, 3662, 1005, 10094, 8394, 1998, 1068, 3530, 1101, 8255, 1533, 7098, 1093, 1195, 1493, 3135, 1043, 1006, 1224, 3164, 1009, 4711, 1060, 8957, 1049, 4002, 19955, 18782, 3824, 1068, 1132, 8255, 1144, 1774, 3662, 1072, 1901, 7755, 1356, 1048, 1664, 23009, 1048, 1668, 1901, 1318, 10080, 10592, 20700, 12946, 1048, 2237, 3164, 1160, 1096, 3092, 1005, 1493, 2444, 8375, 5160, 1309, 6748, 1054, 2618, 1043, 2653, 1734, 12477, 17789, 1005, 1225, 3473, 22955, 18, 1094, 1472, 1048, 3904, 1009, 1094, 26265, 1048, 7001, 22602, 1043, 1124, 2266, 1048, 21621, 25747, 3027, 1054, 2612, 1026, 19823, 12760, 4800, 5379, 1048, 1006, 3069, 1852, 1049, 4002, 10723, 22, 1144, 1079, 77, 1065, 7412, 4537, 9094, 1679, 5450, 1528, 1010, 22035, 1049, 1144, 1774, 1093, 1487, 62, 1005, 1144, 1774, 1093, 1675, 54, 5653, 3005, 1005, 1058, 2289, 11784, 5219, 3449, 2593, 12409, 1599, 1976, 10514, 1261, 1044, 11829, 1118, 1751, 1060, 5357, 1294, 7024, 7872, 1005, 1114, 4958, 9560, 1009, 5096, 12787, 7333, 1049, 17468, 1349, 1977, 1945, 1006, 18521, 1006, 29032, 8957, 1138, 5250, 17441, 1096, 12338, 4850, 1009, 1160, 1178, 2728, 2647, 1048, 1006, 5357, 3937, 1434, 1005, 22811, 1026, 4002, 6926, 1024, 18020, 1114, 2921, 29856, 1, 8843, 15665, 2457, 2987, 7181, 1094, 8957, 1072, 1173, 73, 1048, 1026, 1592, 5039, 1945, 1213, 22309, 1058, 1118, 24475, 1160, 2499, 90, 1130, 5654, 4434, 3435, 1059, 11424, 1026, 1015, 88, 1298, 3249, 1930, 85, 1173, 73, 1211, 1589, 1114, 6046, 3635, 11798, 1847, 1510, 13974, 4855, 1026, 1268, 9533, 1029, 1040, 1049, 1184, 1026, 1015, 88, 8633, 2834, 9285, 1058, 1026, 2463, 14242, 3134, 3473, 6808, 1071, 7132, 15, 1068, 4855, 1006, 3574, 3457, 85, 15136, 1, 5011, 5321, 1043, 30, 89, 1479, 1063, 6808, 1048, 2155, 5597, 18662, 1006, 4946, 1072, 1561, 1479, 1313, 2772, 16397, 3490, 4227, 37, 1479, 1063, 1212, 3401, 1005, 4639, 4935, 1381, 2350, 7082, 10985, 3937, 79, 1089, 1048, 1836, 1847, 14909, 1094, 7640, 6808, 12046, 1006, 5275, 1006, 5556, 1365, 7748, 1005, 20985, 3004, 1195, 1026, 4711, 3092, 1043, 1094, 3593, 11355, 32, 1325, 5321, 1054, 14152, 7036, 1005, 4431, 5721, 30, 89, 1195, 14909, 1072, 1561, 1005, 9606, 10760, 1294, 5684, 1009, 4843, 31397, 25165, 1127, 1416, 1213, 17049, 2603, 1452, 1005, 2369, 4837, 5177, 8882, 1006, 5556, 1365, 1991, 1554, 7509, 3563, 7748, 1005, 4988, 1693, 8748, 31189, 2837, 4440, 1009, 20459, 4855, 16389, 1469, 3334, 1005, 6098, 1009, 16594, 1322, 7002, 1009, 4961, 15179, 1054, 1557, 20327, 8028, 1616, 1043, 3177, 5372, 2784, 2328, 1060, 6211, 5721, 1044, 22034, 2526, 1048, 11902, 1213, 5357, 19687, 6413, 4800, 1663, 1094, 2919, 1271, 4496, 22039, 1060, 2511, 1871, 10568, 21492, 1727, 32, 3182, 9972, 1009, 4637, 3784, 4303, 3784, 8982, 1005, 17236, 1009, 1886, 10433, 5945, 11013, 1005, 4988, 8897, 14149, 6638, 1009, 2596, 4445, 1005, 19537, 11150, 1005, 1620, 12139, 1005, 26130, 8582, 1009, 1871, 4871, 9176, 2904, 28102, 32, 23167, 1213, 3142, 12228, 1005, 8748, 21823, 1054, 2625, 12409, 1728, 3270, 1444, 1480, 1009, 9262, 1005, 5278, 1206, 9734, 26248, 1054, 1557, 2733, 1005, 24139, 1043, 2693, 1006, 3444, 3590, 2477, 2789, 1121, 32, 2328, 1060, 6808, 1026, 3142, 1757, 16594, 1009, 1044, 7620, 6976, 1206, 5054, 1365, 1132, 28246, 4957, 10172, 1006, 6697, 1009, 8582, 1005, 1026, 11404, 17197, 15208, 1146, 3104, 32, 6808, 1571, 1026, 3142, 1058, 31688, 1043, 1734, 2328, 1009, 12480, 1005, 4449, 19, 1469, 2938, 18, 26227, 1124, 16594, 1005, 1026, 3090, 1009, 4965, 1054, 2417, 3021, 1219, 2001, 32, 4305, 1005, 13681, 7220, 1043, 2089, 6963, 1009, 1871, 10603, 1005, 1969, 5160, 1305, 2296, 4570, 1005, 1043, 2625, 25997, 5219, 1006, 4716, 1009, 1752, 3142, 4355, 1958, 18630, 32, 4279, 1006, 4173, 1009, 2033, 1273, 2452, 1273, 25637, 6184, 1005, 31403, 7307, 2585, 1026, 1048, 6293, 1026, 2568, 1009, 6621, 24658, 1005, 1788, 7738, 6383, 1660, 19, 14113, 32, 25902, 1365, 5015, 1054, 1557, 12782, 1068, 5278, 1054, 15539, 16594, 1005, 16847, 1009, 2826, 3036, 1206, 4440, 1009, 5364, 2875, 1252, 3238, 32, 1026, 3142, 1298, 4305, 1005, 12228, 12777, 89, 1123, 3920, 21, 10965, 3238, 5219, 1235, 4961, 18, 2328, 1187, 1456, 4361, 1020, 19353, 20, 1, 1063, 1156, 14111, 1582, 17003, 2372, 9606, 14451, 1006, 4734, 1009, 1094, 2596, 2553, 73, 1076, 1005, 29262, 1009, 2596, 2464, 1511, 1026, 3249, 1348, 2022, 1208, 1068, 1094, 7813, 1582, 1322, 1044, 6440, 21354, 5553, 19678, 1009, 1048, 2155, 3659, 1319, 1843, 5114, 1322, 1026, 25683, 3204, 2446, 1009, 7813, 1582, 6865, 1094, 1807, 10488, 1005, 19474, 1126, 3702, 2374, 26985, 1048, 1318, 2374, 1673, 1105, 2682, 17047, 1213, 6530, 20, 12026, 1027, 2093, 1031, 25310, 1005, 1006, 19706, 3634, 1178, 15587, 5010, 1, 10861, 7332, 1005, 5086, 1242, 1826, 1043, 3179, 1791, 3952, 1009, 13503, 10513, 1166, 1479, 8159, 1049, 10810, 5827, 29511, 1045, 7332, 1005, 5086, 1242, 1826, 1043, 3179, 1791, 3952, 1009, 13503, 10513, 1166, 2995, 2126, 1049, 10810, 5827, 1675, 1009, 3149, 1009, 4161, 4, 22487, 1044, 1424, 19108, 1605, 8159, 1049, 10810, 5827, 3661, 1006, 16094, 1009, 1048, 2754, 2752, 1045, 7332, 1005, 5086, 1242, 1048, 12793, 1463, 6296, 1049, 3338, 1826, 1043, 1456, 13503, 10513, 3983, 1063, 1807, 3364, 5473, 9017, 1566, 1826, 1043, 3179, 1791, 3952, 1305, 4305, 3819, 2195, 8132, 9346, 2752, 1045, 3013, 1048, 30479, 3159, 1054, 1094, 4044, 1049, 5603, 5292, 7694, 17554, 1048, 7717, 1132, 5278, 1072, 22541, 1072, 1531, 8260, 1009, 3403, 1043, 1006, 15474, 1009, 1048, 1825, 3165, 1072, 3681, 7715, 1072, 14489, 1006, 2116, 3013, 1160, 3661, 1620, 20, 3720, 5649, 1048, 1325, 6718, 6106, 1005, 1225, 7135, 1188, 8548, 1124, 2213, 1016, 1009, 5410, 1005, 10624, 3301, 45, 21731, 1006, 3219, 1503, 1620, 2449, 1043, 2306, 1201, 1930, 1309, 1006, 4087, 3062, 1054, 2573, 1160, 1325, 3192, 20458, 2739, 7685, 10513, 1312, 1005, 1068, 20116, 1439, 1026, 2671, 1973, 1048, 1620, 1160, 4337, 1511, 2155, 6622, 1406, 17810, 1079, 1006, 15541, 1007, 1048, 1160, 5692, 1058, 7449, 1043, 5832, 1009, 1178, 13898, 1236, 8530, 5086, 1034, 1048, 6471, 1054, 2924, 4044, 1049, 5603, 5292, 7694, 1294, 9923, 1048, 4564, 3004, 1006, 8592, 19396, 7726, 1132, 9017, 1068, 6631, 1094, 2612, 1072, 7674, 1049, 3878, 1068, 1048, 6326, 4305, 1456, 13503, 20, 1138, 4524, 1973, 1318, 1048, 1195, 19116, 1048, 1026, 2671, 2155, 6622, 1657, 1026, 10511, 17556, 1213, 3681, 1009, 3403, 3301, 46, 13219, 1503, 30542, 1114, 8592, 1068, 4305, 1044, 3129, 1048, 1857, 9344, 1048, 2449, 1048, 18003, 1068, 1026, 7674, 1049, 1561, 1068, 1622, 6631, 1094, 2612, 2553, 5328, 4564, 1846, 1048, 1857, 10680, 1048, 4343, 1009, 1334, 1698, 1026, 3453, 1049, 1831, 3681, 1048, 27720, 1406, 1973, 1026, 1023, 1136, 2646, 1833, 1012, 10799, 1054, 4280, 1043, 1026, 6134, 4644, 25688, 1316, 1048, 1294, 9999, 1079, 1068, 1094, 2133, 1896, 1060, 25031, 8779, 1009, 3181, 3803, 19529, 1148, 1686, 1513, 86, 1236, 1054, 1569, 9605, 1006, 15541, 1007, 1294, 12491, 1006, 2511, 4253, 32, 1, 1073, 2509, 5569, 1617, 1566, 2284, 18933, 18043, 1416, 4661, 1068, 1063, 31925, 3279, 33, 17777, 1175, 11686, 1175, 18722, 6459, 12065, 31554, 150, 1782, 2023, 25, 1576, 2509, 5569, 1617, 1566, 2284, 18933, 18043, 1416, 4661, 1068, 1063, 31925, 3279, 33, 17777, 1175, 11686, 1175, 18722, 6459, 12065, 31554, 150, 20586, 18722, 1073, 4358, 1984, 7447, 10998, 20763, 2708, 2124, 1175, 14010, 1054, 1984, 7447, 10998, 20763, 5900, 1605, 4404, 78, 2447, 1596, 3895, 1312, 1054, 3152, 14871, 5640, 7886, 1009, 1063, 31925, 3279, 1005, 1073, 2509, 5569, 1617, 1596, 4386, 1010, 1009, 11355, 1114, 5096, 2429, 9560, 2149, 6877, 1213, 1058, 17356, 1656, 1043, 1026, 17009, 1049, 1072, 1070, 2270, 1766, 1008, 4348, 12802, 7720, 1566, 1060, 4433, 6550, 1009, 1048, 1026, 7246, 1160, 1836, 10064, 1006, 1910, 17426, 2098, 15172, 1118, 3018, 2257, 1094, 18043, 1416, 1114, 10432, 1049, 18166, 1043, 1026, 7196, 1049, 3077, 1009, 1063, 31925, 4954, 24834, 9329, 1313, 18850, 8, 28358, 20492, 19573, 78, 2447, 1565, 2494, 3757, 20247, 1072, 2268, 1846, 1009, 1006, 6035 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1573, 11640, 3503, 3958, 18, 15550, 1048, 1006, 5405, 1067, 6372, 2177, 15514, 1068, 12540, 5515, 11, 1213, 1901, 1072, 16444, 1009, 4127, 1704, 3099, 10268, 1318, 6646, 6413, 1114, 3757, 20247, 1006, 1224, 20697, 1068, 1026, 4758, 1049, 23665, 31773, 1106, 29317, 2645, 8182, 15, 1009, 3837, 1054, 9160, 5003, 10390, 1603, 4504, 2166, 2177, 1006, 1712, 9330, 2271, 12041, 1071, 2525, 4705, 11, 1565, 1972, 7218, 1006, 10937, 1049, 3099, 1009, 4758, 1060, 5337, 5092, 1195, 22159, 1054, 6936, 7089, 24572, 3536, 1049, 6840, 1134, 1097, 3662, 1006, 22190, 1049, 3099, 10268, 1068, 1006, 5405, 1009, 18773, 1072, 2822, 1009, 3837, 1195, 22159, 15339, 1054, 2824, 3646, 4700, 1118, 1004, 2954, 3144, 1972, 1026, 13550, 1009, 7218, 1006, 10937, 1187, 26630, 1068, 1006, 5405, 1009, 18773, 3641, 1079, 1009, 2824, 3646, 3663, 1068, 2824, 3646, 6101, 1118, 19277, 1533, 22190, 1187, 5993, 1573, 1049, 3099, 10268, 1068, 1026, 2201, 150, 92, 1041, 1060, 4447, 2648, 4678, 11138, 1790, 1161, 2444, 1966, 1161, 15, 1054, 3837, 14146, 1009, 7294, 14545, 4705, 6616, 1068, 7294, 2182, 6616, 1114, 3757, 12824, 4578, 7218, 1026, 25569, 9923, 3068, 9560, 1048, 1006, 10937, 1187, 5993, 1573, 1068, 1026, 18586, 1060, 4447, 2648, 4678, 8743, 1054, 7294, 1844, 6616, 1009, 2201, 150, 92, 1041, 4908, 2535, 1187, 8235, 14654, 3443, 1229, 1006, 12106, 1049, 3099, 1068, 1026, 21719, 1009, 3837, 1195, 22159, 1054, 7294, 2595, 6616, 20, 1972, 7218, 1006, 22190, 1009, 3583, 1009, 8235, 1072, 1561, 9564, 1009, 7294, 10070, 6616, 1068, 7294, 8060, 6616, 20, 1, 1163, 23, 1175, 1180, 17346, 4114, 1009, 8419, 1118, 3248, 1009, 4472, 18278, 20301, 23670, 1072, 24509, 1175, 4816, 1054, 2293, 3279, 1049, 3826, 8914, 23, 10993, 14290, 22291, 10701, 1175, 14010, 1054, 8584, 10993, 14290, 22291, 10701, 3341, 7210, 1009, 1764, 2434, 1049, 11193, 4189, 79, 29530, 1418, 2568, 1068, 31363, 1009, 7490, 11873, 26581, 1458, 1009, 3381, 1551, 25573, 4611, 1051, 1665, 16469, 2256, 1646, 1054, 3370, 1533, 3597, 20188, 1048, 3550, 1034, 4234, 8419, 12108, 25673, 1356, 11956, 1009, 3381, 1551, 25573, 4611, 4189, 1126, 4472, 18278, 1049, 3338, 1009, 1163, 7591, 1229, 1072, 2638, 1013, 2701, 1049, 1123, 15020, 1005, 1049, 13333, 23567, 8781, 1014, 26046, 13708, 1184, 1094, 4415, 3163, 2006, 1005, 1566, 1298, 1178, 12409, 3567, 1551, 2303, 1043, 5995, 1009, 5829, 1049, 2293, 3279, 1049, 3826, 4139, 48, 12565, 52, 1349, 1026, 9054, 5568, 4257, 14759, 27874, 1060, 31363, 1009, 1764, 2434, 1049, 11193, 4189, 1803, 29530, 1418, 1026, 2568, 1068, 1006, 31363, 1009, 22356, 1571, 7412, 1178, 5191, 1006, 7513, 1049, 1180, 17346, 11939, 15017, 1009, 4125, 1356, 8676, 5995, 1009, 5829, 2794, 58, 28758, 1026, 2568, 2284, 17284, 1068, 1006, 5829, 1049, 2293, 3279, 1049, 3826, 1005, 5467, 1034, 1049, 6840, 1060, 20221, 1009, 1764, 2434, 1049, 11193, 4189, 1192, 1052, 2276, 1178, 25464, 1054, 7490, 20, 1424, 1006, 3597, 18359, 29530, 2154, 1026, 2568, 2177, 17871, 1069, 1068, 1094, 1271, 14678, 89, 1049, 5995, 1049, 1180, 17346, 1009, 7490, 1068, 1048, 1006, 3164, 1049, 10600, 2374, 12409, 1140, 1704, 2535, 1049, 11956, 1009, 1551, 25573, 4611, 1051, 1665, 1005, 1009, 23567, 8781, 1014, 16469, 2256, 1646, 1072, 3810, 1531, 3404, 1009, 30193, 1766, 1791, 1871, 9778, 1890, 1094, 5980, 9674, 3010, 10952, 1236, 1114, 7877, 25714, 2471, 1072, 3338, 1009, 3584, 17959, 1114, 2413, 2638, 1013, 2701, 3359, 1706, 3144, 1138, 4526, 1054, 1048, 3586, 18, 1094, 1008, 1145, 1292, 12731, 3409, 18, 1195, 14378, 1236, 1043, 1026, 7867, 1009, 1351, 18015, 17670, 1766, 4234, 8419, 12108, 25673, 2691, 11832, 1826, 1638, 2184, 1005, 1026, 2535, 1495, 3004, 1160, 1195, 6052, 2270, 1, 25975, 1852, 1049, 4002, 10723, 22, 1144, 1079, 77, 1065, 1298, 5184, 1006, 1178, 30320, 1006, 3295, 1009, 9932, 1152, 4002, 45, 75, 6358, 5, 26955, 1852, 1049, 4002, 10723, 22, 1144, 1079, 77, 1065, 1298, 5184, 1006, 1178, 30320, 1006, 3295, 1009, 9932, 5919, 19051, 1054, 1063, 1385, 15546, 3973, 30661, 4319, 7325, 2204, 17464, 1068, 1132, 14467, 1187, 8255, 1144, 1774, 3662, 1206, 1356, 2444, 1068, 2088, 20, 1067, 2984, 1379, 1233, 1700, 1708, 1006, 4734, 1060, 1493, 11390, 3164, 1009, 4711, 1060, 4958, 3069, 1049, 2380, 2472, 9064, 11016, 1060, 26102, 1026, 4002, 10723, 22, 1144, 1079, 77, 14377, 1048, 7412, 5184, 1006, 1178, 7004, 1140, 1566, 1114, 4958, 15600, 3295, 1009, 9932, 18411, 1096, 1006, 3164, 14859, 1068, 1006, 8957, 1049, 4002, 10723, 22, 1294, 1144, 1774, 1093, 1487, 62, 1005, 1675, 54, 1356, 13091, 15849, 7098, 3662, 1005, 10094, 8394, 1998, 1068, 3530, 1101, 8255, 1533, 7098, 1093, 1195, 1493, 3135, 1043, 1006, 1224, 3164, 1009, 4711, 1060, 8957, 1049, 4002, 19955, 18782, 3824, 1068, 1132, 8255, 1144, 1774, 3662, 1072, 1901, 7755, 1356, 1048, 1664, 23009, 1048, 1668, 1901, 1318, 10080, 10592, 20700, 12946, 1048, 2237, 3164, 1160, 1096, 3092, 1005, 1493, 2444, 8375, 5160, 1309, 6748, 1054, 2618, 1043, 2653, 1734, 12477, 17789, 1005, 1225, 3473, 22955, 18, 1094, 1472, 1048, 3904, 1009, 1094, 26265, 1048, 7001, 22602, 1043, 1124, 2266, 1048, 21621, 25747, 3027, 1054, 2612, 1026, 19823, 12760, 4800, 5379, 1048, 1006, 3069, 1852, 1049, 4002, 10723, 22, 1144, 1079, 77, 1065, 7412, 4537, 9094, 1679, 5450, 1528, 1010, 22035, 1049, 1144, 1774, 1093, 1487, 62, 1005, 1144, 1774, 1093, 1675, 54, 5653, 3005, 1005, 1058, 2289, 11784, 5219, 3449, 2593, 12409, 1599, 1976, 10514, 1261, 1044, 11829, 1118, 1751, 1060, 5357, 1294, 7024, 7872, 1005, 1114, 4958, 9560, 1009, 5096, 12787, 7333, 1049, 17468, 1349, 1977, 1945, 1006, 18521, 1006, 29032, 8957, 1138, 5250, 17441, 1096, 12338, 4850, 1009, 1160, 1178, 2728, 2647, 1048, 1006, 5357, 3937, 1434, 1005, 22811, 1026, 4002, 6926, 1024, 18020, 1114, 2921, 29856, 1, 8843, 15665, 2457, 2987, 7181, 1094, 8957, 1072, 1173, 73, 1048, 1026, 1592, 5039, 1945, 1213, 22309, 1058, 1118, 24475, 1160, 2499, 90, 1130, 5654, 4434, 3435, 1059, 11424, 1026, 1015, 88, 1298, 3249, 1930, 85, 1173, 73, 1211, 1589, 1114, 6046, 3635, 11798, 1847, 1510, 13974, 4855, 1026, 1268, 9533, 1029, 1040, 1049, 1184, 1026, 1015, 88, 8633, 2834, 9285, 1058, 1026, 2463, 14242, 3134, 3473, 6808, 1071, 7132, 15, 1068, 4855, 1006, 3574, 3457, 85, 15136, 1, 5011, 5321, 1043, 30, 89, 1479, 1063, 6808, 1048, 2155, 5597, 18662, 1006, 4946, 1072, 1561, 1479, 1313, 2772, 16397, 3490, 4227, 37, 1479, 1063, 1212, 3401, 1005, 4639, 4935, 1381, 2350, 7082, 10985, 3937, 79, 1089, 1048, 1836, 1847, 14909, 1094, 7640, 6808, 12046, 1006, 5275, 1006, 5556, 1365, 7748, 1005, 20985, 3004, 1195, 1026, 4711, 3092, 1043, 1094, 3593, 11355, 32, 1325, 5321, 1054, 14152, 7036, 1005, 4431, 5721, 30, 89, 1195, 14909, 1072, 1561, 1005, 9606, 10760, 1294, 5684, 1009, 4843, 31397, 25165, 1127, 1416, 1213, 17049, 2603, 1452, 1005, 2369, 4837, 5177, 8882, 1006, 5556, 1365, 1991, 1554, 7509, 3563, 7748, 1005, 4988, 1693, 8748, 31189, 2837, 4440, 1009, 20459, 4855, 16389, 1469, 3334, 1005, 6098, 1009, 16594, 1322, 7002, 1009, 4961, 15179, 1054, 1557, 20327, 8028, 1616, 1043, 3177, 5372, 2784, 2328, 1060, 6211, 5721, 1044, 22034, 2526, 1048, 11902, 1213, 5357, 19687, 6413, 4800, 1663, 1094, 2919, 1271, 4496, 22039, 1060, 2511, 1871, 10568, 21492, 1727, 32, 3182, 9972, 1009, 4637, 3784, 4303, 3784, 8982, 1005, 17236, 1009, 1886, 10433, 5945, 11013, 1005, 4988, 8897, 14149, 6638, 1009, 2596, 4445, 1005, 19537, 11150, 1005, 1620, 12139, 1005, 26130, 8582, 1009, 1871, 4871, 9176, 2904, 28102, 32, 23167, 1213, 3142, 12228, 1005, 8748, 21823, 1054, 2625, 12409, 1728, 3270, 1444, 1480, 1009, 9262, 1005, 5278, 1206, 9734, 26248, 1054, 1557, 2733, 1005, 24139, 1043, 2693, 1006, 3444, 3590, 2477, 2789, 1121, 32, 2328, 1060, 6808, 1026, 3142, 1757, 16594, 1009, 1044, 7620, 6976, 1206, 5054, 1365, 1132, 28246, 4957, 10172, 1006, 6697, 1009, 8582, 1005, 1026, 11404, 17197, 15208, 1146, 3104, 32, 6808, 1571, 1026, 3142, 1058, 31688, 1043, 1734, 2328, 1009, 12480, 1005, 4449, 19, 1469, 2938, 18, 26227, 1124, 16594, 1005, 1026, 3090, 1009, 4965, 1054, 2417, 3021, 1219, 2001, 32, 4305, 1005, 13681, 7220, 1043, 2089, 6963, 1009, 1871, 10603, 1005, 1969, 5160, 1305, 2296, 4570, 1005, 1043, 2625, 25997, 5219, 1006, 4716, 1009, 1752, 3142, 4355, 1958, 18630, 32, 4279, 1006, 4173, 1009, 2033, 1273, 2452, 1273, 25637, 6184, 1005, 31403, 7307, 2585, 1026, 1048, 6293, 1026, 2568, 1009, 6621, 24658, 1005, 1788, 7738, 6383, 1660, 19, 14113, 32, 25902, 1365, 5015, 1054, 1557, 12782, 1068, 5278, 1054, 15539, 16594, 1005, 16847, 1009, 2826, 3036, 1206, 4440, 1009, 5364, 2875, 1252, 3238, 32, 1026, 3142, 1298, 4305, 1005, 12228, 12777, 89, 1123, 3920, 21, 10965, 3238, 5219, 1235, 4961, 18, 2328, 1187, 1456, 4361, 1020, 19353, 20, 1, 1063, 1156, 14111, 1582, 17003, 2372, 9606, 14451, 1006, 4734, 1009, 1094, 2596, 2553, 73, 1076, 1005, 29262, 1009, 2596, 2464, 1511, 1026, 3249, 1348, 2022, 1208, 1068, 1094, 7813, 1582, 1322, 1044, 6440, 21354, 5553, 19678, 1009, 1048, 2155, 3659, 1319, 1843, 5114, 1322, 1026, 25683, 3204, 2446, 1009, 7813, 1582, 6865, 1094, 1807, 10488, 1005, 19474, 1126, 3702, 2374, 26985, 1048, 1318, 2374, 1673, 1105, 2682, 17047, 1213, 6530, 20, 12026, 1027, 2093, 1031, 25310, 1005, 1006, 19706, 3634, 1178, 15587, 5010, 1, 10861, 7332, 1005, 5086, 1242, 1826, 1043, 3179, 1791, 3952, 1009, 13503, 10513, 1166, 1479, 8159, 1049, 10810, 5827, 29511, 1045, 7332, 1005, 5086, 1242, 1826, 1043, 3179, 1791, 3952, 1009, 13503, 10513, 1166, 2995, 2126, 1049, 10810, 5827, 1675, 1009, 3149, 1009, 4161, 4, 22487, 1044, 1424, 19108, 1605, 8159, 1049, 10810, 5827, 3661, 1006, 16094, 1009, 1048, 2754, 2752, 1045, 7332, 1005, 5086, 1242, 1048, 12793, 1463, 6296, 1049, 3338, 1826, 1043, 1456, 13503, 10513, 3983, 1063, 1807, 3364, 5473, 9017, 1566, 1826, 1043, 3179, 1791, 3952, 1305, 4305, 3819, 2195, 8132, 9346, 2752, 1045, 3013, 1048, 30479, 3159, 1054, 1094, 4044, 1049, 5603, 5292, 7694, 17554, 1048, 7717, 1132, 5278, 1072, 22541, 1072, 1531, 8260, 1009, 3403, 1043, 1006, 15474, 1009, 1048, 1825, 3165, 1072, 3681, 7715, 1072, 14489, 1006, 2116, 3013, 1160, 3661, 1620, 20, 3720, 5649, 1048, 1325, 6718, 6106, 1005, 1225, 7135, 1188, 8548, 1124, 2213, 1016, 1009, 5410, 1005, 10624, 3301, 45, 21731, 1006, 3219, 1503, 1620, 2449, 1043, 2306, 1201, 1930, 1309, 1006, 4087, 3062, 1054, 2573, 1160, 1325, 3192, 20458, 2739, 7685, 10513, 1312, 1005, 1068, 20116, 1439, 1026, 2671, 1973, 1048, 1620, 1160, 4337, 1511, 2155, 6622, 1406, 17810, 1079, 1006, 15541, 1007, 1048, 1160, 5692, 1058, 7449, 1043, 5832, 1009, 1178, 13898, 1236, 8530, 5086, 1034, 1048, 6471, 1054, 2924, 4044, 1049, 5603, 5292, 7694, 1294, 9923, 1048, 4564, 3004, 1006, 8592, 19396, 7726, 1132, 9017, 1068, 6631, 1094, 2612, 1072, 7674, 1049, 3878, 1068, 1048, 6326, 4305, 1456, 13503, 20, 1138, 4524, 1973, 1318, 1048, 1195, 19116, 1048, 1026, 2671, 2155, 6622, 1657, 1026, 10511, 17556, 1213, 3681, 1009, 3403, 3301, 46, 13219, 1503, 30542, 1114, 8592, 1068, 4305, 1044, 3129, 1048, 1857, 9344, 1048, 2449, 1048, 18003, 1068, 1026, 7674, 1049, 1561, 1068, 1622, 6631, 1094, 2612, 2553, 5328, 4564, 1846, 1048, 1857, 10680, 1048, 4343, 1009, 1334, 1698, 1026, 3453, 1049, 1831, 3681, 1048, 27720, 1406, 1973, 1026, 1023, 1136, 2646, 1833, 1012, 10799, 1054, 4280, 1043, 1026, 6134, 4644, 25688, 1316, 1048, 1294, 9999, 1079, 1068, 1094, 2133, 1896, 1060, 25031, 8779, 1009, 3181, 3803, 19529, 1148, 1686, 1513, 86, 1236, 1054, 1569, 9605, 1006, 15541, 1007, 1294, 12491, 1006, 2511, 4253, 32, 1, 1073, 2509, 5569, 1617, 1566, 2284, 18933, 18043, 1416, 4661, 1068, 1063, 31925, 3279, 33, 17777, 1175, 11686, 1175, 18722, 6459, 12065, 31554, 150, 1782, 2023, 25, 1576, 2509, 5569, 1617, 1566, 2284, 18933, 18043, 1416, 4661, 1068, 1063, 31925, 3279, 33, 17777, 1175, 11686, 1175, 18722, 6459, 12065, 31554, 150, 20586, 18722, 1073, 4358, 1984, 7447, 10998, 20763, 2708, 2124, 1175, 14010, 1054, 1984, 7447, 10998, 20763, 5900, 1605, 4404, 78, 2447, 1596, 3895, 1312, 1054, 3152, 14871, 5640, 7886, 1009, 1063, 31925, 3279, 1005, 1073, 2509, 5569, 1617, 1596, 4386, 1010, 1009, 11355, 1114, 5096, 2429, 9560, 2149, 6877, 1213, 1058, 17356, 1656, 1043, 1026, 17009, 1049, 1072, 1070, 2270, 1766, 1008, 4348, 12802, 7720, 1566, 1060, 4433, 6550, 1009, 1048, 1026, 7246, 1160, 1836, 10064, 1006, 1910, 17426, 2098, 15172, 1118, 3018, 2257, 1094, 18043, 1416, 1114, 10432, 1049, 18166, 1043, 1026, 7196, 1049, 3077, 1009, 1063, 31925, 4954, 24834, 9329, 1313, 18850, 8, 28358, 20492, 19573, 78, 2447, 1565, 2494, 3757, 20247, 1072, 2268, 1846, 1009, 1006, 6035 ]

[ 16515, 1060, 3275, 2873, 1295, 7436, 1005, 10812, 23587, 54, 48, 1559, 3218, 11605, 3162, 28, 3989, 21, 2621, 7484, 3459, 1349, 1043, 4799, 1054, 11815, 1072, 16289, 17248, 15620, 2746, 1175, 2149, 5463, 9460, 3876, 3541, 2704, 31, 21, 4406, 3876, 20643, 5235, 1005, 5347, 26708, 2149, 5463, 15312, 2944, 17416, 2337, 8037, 1833, 21707, 32, 1655, 14030, 18822, 5134, 67, 3341, 1214, 1035, 12376, 1009, 25729, 10348, 1175, 11054, 2135, 27437, 1156, 2162, 1075, 1362, 23222, 1079, 72, 1175, 4148, 1009, 18099, 2135, 6318, 1551, 3512, 1187, 5751, 1175, 4148, 4678, 21, 1019, 2347, 7738, 22290, 21908, 5, 143, 2995, 85, 87, 8855, 21030, 1096, 1044, 1187, 3195, 1060, 3275, 2873, 1295, 7436, 1005, 27237, 2339, 1048, 1970, 1497, 1026, 2695, 87, 8855, 1678, 3761, 1054, 12640, 1054, 11815, 1072, 16289, 9218, 3382, 2271, 11233, 4355, 1425, 1069, 1356, 8746, 1180, 1214, 1035, 12376, 1009, 25729, 27471, 1026, 7867, 3475, 1006, 1178, 23991, 1357, 3275, 2873, 1295, 2271, 17640, 14478, 23059, 1327, 1132, 16612, 27437, 23222, 1079, 72, 1005, 6318, 1551, 3512, 1187, 11815, 5300, 1043, 16580, 3513, 1054, 7471, 1009, 5556, 1005, 1072, 4898, 8169, 2274, 14140, 11112, 1009, 12869, 1009, 16612, 3004, 15512, 1294, 1184, 19459, 7471, 1049, 6432, 1005, 1049, 7809, 1059, 4439, 1435, 1132, 9456, 1048, 3184, 1412, 1006, 4599, 1049, 7436, 1049, 2695, 1022, 10372, 1294, 1646, 5884, 6958, 1635, 2695, 1022, 10372, 3399, 1678, 20793, 1356, 1720, 3633, 2695, 87, 1692, 4394, 15, 1159, 7867, 5150, 1100, 1026, 2417, 3275, 2873, 1295, 8491, 7903, 8957, 1043, 1124, 3606, 11504, 23996, 1794, 1242, 14653, 17399, 1049, 2123, 1295, 1009, 3284, 1068, 1132, 1184, 19459, 7546, 2460, 8882, 5193, 1054, 3606, 8790, 1273, 1309, 1305, 6388, 1224, 13875, 32, 1006, 22955, 1114, 4734, 19970, 1533, 3450, 1049, 3284, 19035, 1325, 3863, 1054, 2252, 1124, 10539, 32, 1049, 3761, 14985, 1206, 18733, 1187, 5283, 1114, 2695, 87, 1692, 4394, 16909, 1159, 1026, 7436, 3275, 2873, 1295, 1175, 1082, 4171, 1009, 6803, 18, 1005, 1114, 7661, 2695, 87, 8855, 1678, 8932, 1188, 1463, 4928, 3732, 1059, 34, 18, 6487, 92, 77, 36, 1467, 2903, 7588, 22955, 4311, 1140, 1318, 1114, 6477, 1005, 10363, 1009, 7676, 4107, 16636, 2493, 5616, 1054, 14835, 1005, 1048, 1058, 3895, 1412, 1054, 5231, 2950, 1679, 3770, 24034, 1986, 1006, 6222, 1271, 3764, 9709, 8333, 1096, 1233, 2604, 71, 1048, 1026, 31359, 1056, 1049, 2695, 87, 1692, 4394, 20514, 5604, 1026, 9797, 1049, 2417, 3275, 2873, 1295, 1043, 1006, 3450, 1060, 4734, 32, 2695, 87, 8855, 1678, 22955, 1054, 2252, 1124, 10539, 1833, 52, 44, 53, 20964, 1180, 2713, 52, 2982, 1084, 14095, 4503, 21402, 30091, 30196, 2428, 11136, 28880, 30307, 23522, 2393, 60, 15104, 5, 2582, 6087, 1188, 16258, 11933, 2788, 5471, 9983, 1068, 23385, 3284, 1005, 9066, 1026, 12191, 1049, 17042, 18664, 1006, 3028, 9598, 1009, 14087, 11393, 1, 1766, 24432, 1620, 13900, 3587, 4331, 1049, 19890, 18, 1118, 1616, 16979, 1006, 5319, 1005, 5766, 3749, 1006, 1224, 3621, 1072, 1064, 3144, 13492, 1124, 3638, 18375, 1233, 3560, 4007, 29408, 1009, 1044, 2386, 1009, 17377, 1072, 1235, 5109, 20, 15727, 5992, 1006, 3560, 1187, 3948, 1060, 10465, 1005, 1006, 1224, 5275, 150, 19030, 1533, 3364, 1049, 24432, 1620, 8285, 1072, 4898, 2952, 1049, 6901, 1126, 1005, 1132, 1048, 11640, 1072, 4898, 4987, 13900, 1745, 20954, 9698, 1554, 28368, 12697, 1356, 14330, 14244, 2162, 2244, 1112, 3272, 12079, 1005, 1240, 3131, 1009, 6411, 20, 22320, 2885, 1294, 24500, 1005, 7009, 1006, 1834, 4007, 8607, 13492, 1048, 1006, 10419, 2112, 1026, 7743, 1213, 1235, 5675, 1043, 1006, 4863, 8202, 17913, 1063, 11862, 1133, 10188, 1287, 8732, 13387, 1005, 1572, 6315, 6154, 1043, 1026, 7730, 11676, 1138, 1235, 15118, 3505, 150, 2328, 1187, 1734, 25747, 1044, 2631, 3041, 1068, 21239, 1005, 17097, 1024, 7963, 7531, 1005, 3239, 1009, 1834, 23208, 29524, 1184, 3232, 1206, 1511, 1132, 24432, 2922, 1656, 1068, 1026, 4898, 15583, 4441, 9200, 6097, 1708, 3057, 3041, 3775, 1026, 4774, 1005, 1006, 10465, 1132, 13102, 1132, 7383, 11176, 1006, 16206, 2485, 1124, 2460, 5247, 1026, 6730, 1006, 2926, 1005, 1026, 3445, 5613, 20599, 3775, 1090, 2021, 13104, 16674, 7195, 10513, 1229, 10016, 1005, 6941, 1345, 1618, 73, 2130, 20, 1138, 3453, 4007, 1130, 3893, 1309, 1299, 4597, 1048, 4524, 14028, 1068, 9282, 1138, 7245, 1187, 7871, 1096, 18785, 1309, 2177, 1094, 23071, 29627, 3138, 1005, 19111, 1026, 3654, 1049, 11092, 1640, 76, 1321, 85, 2177, 19228, 1309, 1118, 1044, 9327, 19394, 2340, 1054, 6019, 1049, 1531, 3186, 1124, 20599, 8989, 6423, 1027, 1213, 8937, 1704, 1622, 1114, 1487, 0, 4769, 1072, 2738, 1049, 3681, 29807, 7741, 21333, 1392, 1005, 7066, 1273, 1309, 3192, 1009, 13020, 20, 1063, 2687, 1188, 8285, 3838, 20, 2034, 8048, 1242, 3378, 3622, 3775, 1798, 5010, 1766, 1962, 3304, 1074, 7531, 1026, 29386, 1130, 1627, 18593, 1077, 5193, 1187, 5870, 1184, 2385, 1010, 1009, 1663, 20901, 8335, 1986, 1026, 1531, 3186, 1299, 13419, 1184, 5058, 17885, 2773, 1013, 1371, 20, 1766, 1048, 16532, 7176, 2808, 1027, 1094, 3621, 1043, 10367, 20, 1766, 5435, 1544, 2808, 1027, 1132, 18635, 1009, 1048, 25403, 20, 6126, 13851, 1009, 1094, 5042, 1009, 26123, 1048, 2177, 5450, 1533, 2926, 8285, 7640, 1668, 22085, 9338, 3041, 1068, 1006, 2926, 2730, 1901, 2631, 1068, 16550, 1138, 7051, 8285, 1322, 1124, 15186, 4650, 1159, 2129, 21276, 7757, 1005, 6119, 1094, 7344, 1006, 4085, 1060, 17677, 12010, 1009, 7110, 23001, 1026, 15098, 16732, 10038, 20, 1063, 18198, 1072, 1531, 1984, 12097, 150, 1160, 4564, 10022, 7531, 1009, 2926, 1159, 29807, 3398, 11429, 1322, 7744, 1005, 1054, 29727, 1337, 4441, 15718, 1689, 2808, 1027, 1026, 3445, 1054, 7066, 1273, 1072, 2386, 1009, 2011, 1005, 1043, 1132, 1048, 1826, 11464, 1043, 1006, 24102, 6218, 7195, 3505, 2328, 1060, 6820, 1009, 4327, 12583, 1233, 1224, 3560, 1711, 1044, 3759, 7941, 1206, 4260, 1711, 1206, 1495, 1044, 1935, 31619, 9528, 1159, 5534, 14612, 1160, 2177, 3192, 1009, 13020, 20, 1063, 2952, 1990, 1043, 1783, 1009, 3189, 1005, 1680, 23014, 21233, 1184, 1049, 1048, 1026, 26719, 1, 4561, 1016, 1009, 29914, 32, 1359, 11569, 1140, 1043, 12265, 1009, 12180, 1170, 1005, 1317, 3198, 1016, 1043, 9496, 1009, 3178, 1146, 3276, 20, 2494, 11719, 4955, 1371, 10441, 3461, 1005, 31584, 1005, 1043, 1044, 1852, 19391, 1005, 15267, 1069, 1797, 1593, 14504, 3292, 3434, 5602, 9487, 9024, 1283, 4986, 1227, 1095, 1067, 2363, 92, 1560, 1081, 3576, 1021, 2484, 32, 2425, 20764, 1009, 2043, 5536, 1893, 1043, 5049, 4372, 1890, 1124, 6316, 9417, 2975, 4464, 1054, 1048, 1096, 4661, 1006, 20633, 24736, 1338, 17016, 1009, 1307, 3952, 1054, 2696, 3087, 1009, 1429, 9915, 5976, 20, 1, 5945, 20354, 17906, 4598, 1049, 7414, 1009, 6782, 1060, 2828, 2375, 12841, 2646, 6070, 22348, 1349, 1043, 3513, 1054, 6048, 29182, 3613, 1072, 7276, 1049, 6782, 1060, 4630, 5559, 1411, 6365, 1271, 8965, 4407, 26355, 1005, 2387, 10737, 6782, 4594, 30060, 6782, 6324, 18589, 11137, 9598, 1005, 2089, 1072, 1072, 9104, 1049, 6782, 8450, 1048, 6011, 2269, 1054, 6543, 1009, 12486, 24554, 1005, 18730, 17885, 6061, 6600, 1054, 11837, 16826, 1357, 2828, 1009, 2915, 1046, 21901, 22755, 2418, 18330, 1069, 3504, 3682, 1091, 1009, 17417, 1119, 1281, 13126, 16826, 15, 1114, 16552, 5365, 1079, 14164, 17575, 2445, 1054, 3032, 1043, 1026, 17559, 2873, 1295, 1294, 11837, 16826, 1005, 1114, 1200, 3096, 1095, 1525, 1009, 9808, 20, 19668, 1079, 18610, 28756, 2636, 1005, 1428, 1041, 8736, 2966, 16842, 1006, 15081, 20, 10003, 4581, 17070, 1054, 7564, 1060, 7527, 3803, 30943, 1054, 7906, 1333, 1009, 4062, 22995, 5559, 71, 1357, 2828, 1009, 2915, 1046, 1662, 1126, 1048, 2747, 1785, 18848, 6903, 3368, 7769, 1005, 12165, 5345, 13694, 1195, 6256, 1006, 17429, 1118, 7927, 4750, 9406, 27395, 1006, 17675, 1049, 1082, 21215, 8528, 4862, 5788, 2045, 31984, 22995, 1124, 1006, 7933, 8829, 1014, 1234, 7945, 3980, 95, 2159, 27935, 1123, 3626, 1678, 2743, 1009, 4843, 1005, 8274, 1651, 1021, 1662, 2408, 1357, 6610, 11005, 4585, 30, 1006, 4579, 1565, 2013, 31850, 1896, 29032, 1114, 16032, 1112, 1049, 18656, 39, 1175, 4316, 1009, 20511, 1213, 4501, 2642, 27318, 1114, 30335, 1054, 15915, 1571, 7584, 5502, 1009, 3790, 1006, 6894, 11289, 18, 24721, 1009, 9996, 1005, 3790, 4185, 1038, 1221, 1006, 2015, 1452, 14457, 1054, 25563, 1112, 1009, 4501, 2642, 27318, 2645, 3920, 39, 1565, 1482, 4053, 1195, 19482, 1068, 1026, 1424, 18081, 1009, 5110, 1060, 3597, 3741, 6367, 1560, 2689, 29156, 3773, 1253, 3399, 6158, 16391, 32, 3292, 7827, 1678, 2778, 1223, 16688, 13938, 1647, 2325, 2159, 5926, 13224, 3098, 3234, 1357, 1062, 21853, 1479, 31984, 19854, 2679, 1098, 18714, 1283, 18377, 1899, 2196, 1026, 6980, 1311, 1827, 1748, 11668, 1184, 5485, 1060, 5253, 1068, 1006, 15204, 1054, 6644, 1005, 6686, 2275, 8601, 2743, 1096, 4538, 3013, 16515, 1009, 1307, 19520, 1253, 12342, 1678, 1720, 18409, 3292, 7827, 1678, 2778, 1223, 2325, 1005, 5926, 2325, 1916, 3126, 14439, 3013, 8986, 3234, 1049, 2417, 1009, 8274, 4750, 2373, 42, 28573, 89, 1409, 14047, 1123, 22364, 626, 1049, 4632, 20821, 1221, 2375, 12841, 9955, 28735, 1159, 2373, 72, 1104, 626, 1357, 8240, 1068, 11137, 1005, 10482, 1009, 4119, 1006, 16202, 3126, 14439, 3013, 1049, 30943, 1054, 6782, 1479, 24516, 16914, 19, 4736, 14206, 1060, 2828, 2375, 12841, 2646, 1009, 4152, 1006, 16202, 20567, 1623, 8128, 4091, 12353, 4538, 1126, 6740, 2745, 1322, 30158, 9356, 11837, 6268, 9628, 4630, 11005, 1005, 7945, 3980, 2275, 11090, 6546, 1225, 17599, 1225, 14182, 2539, 7896, 17071, 1229, 5314, 1054, 3425, 4726, 10028, 1068, 2247, 1009, 5924, 18, 1043, 3553, 4195, 19953, 22090, 1005, 13469, 25316, 1322, 5680, 12894, 1229, 1054, 3032, 1005, 1072, 5989, 9596, 7595, 8912, 1318, 2539, 4203, 17071, 1229, 4352, 71, 7460, 2260, 1161, 1009, 30943, 1005, 1030, 4901, 1009, 6061, 1164, 5457, 1005, 1225, 28196, 1054, 2625, 4965, 1009, 4538, 3803, 31165, 1054, 2523, 1151, 175, 3308, 1009, 9262, 5761, 1191, 1392, 1009, 19745, 1005, 2224, 1151, 175, 3308, 1009, 1049, 2483, 5457, 5735, 1014, 7566, 7012, 675, 646, 57, 1036, 1304, 1049, 7566, 675, 644, 5, 25180, 2484, 5, 25180, 2484, 4987, 2324, 2576, 7012, 2503, 8871, 1623, 8128, 4091, 12353, 2324, 16190, 1009, 25927, 1797, 1593, 1509, 1229, 20567, 1623, 1797, 1593, 1509, 1229, 1119, 2904, 1593, 1509, 1229, 4808, 1067, 2904, 1593, 1509, 1229, 20567, 1623, 8128, 5, 25180, 1339, 1544, 1009, 2566, 1797, 1979, 5974, 5, 3531, 1442, 19, 5402, 5963, 6441, 5237, 42, 1605, 24978, 3107, 2963, 42, 5, 6951, 19, 2621, 24, 2541, 3413, 31, 11625, 4160, 26, 2503, 1104, 13749, 1009, 7689, 1797, 3712, 18147, 1175, 6782, 6170, 2715, 3036, 6170, 2715, 1183, 8018, 5151, 1112, 3008, 75, 3076, 1383, 4418, 6226, 4093, 1255, 3029, 1576, 75, 1014, 12804, 7665, 5919, 3014, 1438, 6136, 2715, 1183, 1795, 5201, 1308, 47, 1590, 3975, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 8534, 43, 3096, 1489, 1078, 33, 4091, 1524, 1577, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 24, 7199, 26715, 1027, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 8534, 10081, 1112, 3564, 1007, 91, 1797, 12893, 12039, 24, 8018, 13869, 2876, 2503, 1097, 31552, 18330, 1069, 3504, 3863, 1009, 17417, 1009, 1013, 13126, 6826, 4334, 1097, 1922, 1308, 7851, 1540, 1115, 1009, 2915, 1046, 1662, 1126, 4573, 4895, 51, 5356, 28013, 2164, 15131, 8524, 56, 14479, 2164, 6793, 12239, 13411, 45, 2982, 32, 29695, 41, 29482, 1144, 2713, 51, 3071, 21892, 1084, 1082, 5237, 47, 123, 58, 13889, 2818, 4864, 1063, 4187, 8, 4139, 2164, 43, 14527, 22656, 2393, 5250, 4824, 1308, 18364, 1074, 1029, 1778, 4301, 1064, 2363, 1131, 11740, 31, 8018, 13869, 2876, 6416, 1302, 1333, 1009, 4062, 1431, 11491, 5559, 71, 3306, 1165, 12276, 1308, 7851, 1540, 1115, 1009, 2915, 1046, 1662, 1126, 4573, 5, 18364, 2021, 1029, 1778, 11740, 28, 8018, 13869, 2876, 2503, 4550, 4852, 1009, 7906, 1333, 4429, 13048, 1166, 1198, 1106, 2910, 1133, 1469, 1104, 4624, 3504, 19307, 21990, 4334, 15861, 14079, 25145, 1990, 1054, 11137, 1060, 16144, 24848, 1540, 1115, 1009, 2915, 1046, 1662, 1126, 4573, 5, 18364, 2021, 1029, 1778, 1576, 1421, 3393, 3467, 1797, 1979, 1797, 20256, 19309, 7133, 29370 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 16515, 1060, 3275, 2873, 1295, 7436, 1005, 10812, 23587, 54, 48, 1559, 3218, 11605, 3162, 28, 3989, 21, 2621, 7484, 3459, 1349, 1043, 4799, 1054, 11815, 1072, 16289, 17248, 15620, 2746, 1175, 2149, 5463, 9460, 3876, 3541, 2704, 31, 21, 4406, 3876, 20643, 5235, 1005, 5347, 26708, 2149, 5463, 15312, 2944, 17416, 2337, 8037, 1833, 21707, 32, 1655, 14030, 18822, 5134, 67, 3341, 1214, 1035, 12376, 1009, 25729, 10348, 1175, 11054, 2135, 27437, 1156, 2162, 1075, 1362, 23222, 1079, 72, 1175, 4148, 1009, 18099, 2135, 6318, 1551, 3512, 1187, 5751, 1175, 4148, 4678, 21, 1019, 2347, 7738, 22290, 21908, 5, 143, 2995, 85, 87, 8855, 21030, 1096, 1044, 1187, 3195, 1060, 3275, 2873, 1295, 7436, 1005, 27237, 2339, 1048, 1970, 1497, 1026, 2695, 87, 8855, 1678, 3761, 1054, 12640, 1054, 11815, 1072, 16289, 9218, 3382, 2271, 11233, 4355, 1425, 1069, 1356, 8746, 1180, 1214, 1035, 12376, 1009, 25729, 27471, 1026, 7867, 3475, 1006, 1178, 23991, 1357, 3275, 2873, 1295, 2271, 17640, 14478, 23059, 1327, 1132, 16612, 27437, 23222, 1079, 72, 1005, 6318, 1551, 3512, 1187, 11815, 5300, 1043, 16580, 3513, 1054, 7471, 1009, 5556, 1005, 1072, 4898, 8169, 2274, 14140, 11112, 1009, 12869, 1009, 16612, 3004, 15512, 1294, 1184, 19459, 7471, 1049, 6432, 1005, 1049, 7809, 1059, 4439, 1435, 1132, 9456, 1048, 3184, 1412, 1006, 4599, 1049, 7436, 1049, 2695, 1022, 10372, 1294, 1646, 5884, 6958, 1635, 2695, 1022, 10372, 3399, 1678, 20793, 1356, 1720, 3633, 2695, 87, 1692, 4394, 15, 1159, 7867, 5150, 1100, 1026, 2417, 3275, 2873, 1295, 8491, 7903, 8957, 1043, 1124, 3606, 11504, 23996, 1794, 1242, 14653, 17399, 1049, 2123, 1295, 1009, 3284, 1068, 1132, 1184, 19459, 7546, 2460, 8882, 5193, 1054, 3606, 8790, 1273, 1309, 1305, 6388, 1224, 13875, 32, 1006, 22955, 1114, 4734, 19970, 1533, 3450, 1049, 3284, 19035, 1325, 3863, 1054, 2252, 1124, 10539, 32, 1049, 3761, 14985, 1206, 18733, 1187, 5283, 1114, 2695, 87, 1692, 4394, 16909, 1159, 1026, 7436, 3275, 2873, 1295, 1175, 1082, 4171, 1009, 6803, 18, 1005, 1114, 7661, 2695, 87, 8855, 1678, 8932, 1188, 1463, 4928, 3732, 1059, 34, 18, 6487, 92, 77, 36, 1467, 2903, 7588, 22955, 4311, 1140, 1318, 1114, 6477, 1005, 10363, 1009, 7676, 4107, 16636, 2493, 5616, 1054, 14835, 1005, 1048, 1058, 3895, 1412, 1054, 5231, 2950, 1679, 3770, 24034, 1986, 1006, 6222, 1271, 3764, 9709, 8333, 1096, 1233, 2604, 71, 1048, 1026, 31359, 1056, 1049, 2695, 87, 1692, 4394, 20514, 5604, 1026, 9797, 1049, 2417, 3275, 2873, 1295, 1043, 1006, 3450, 1060, 4734, 32, 2695, 87, 8855, 1678, 22955, 1054, 2252, 1124, 10539, 1833, 52, 44, 53, 20964, 1180, 2713, 52, 2982, 1084, 14095, 4503, 21402, 30091, 30196, 2428, 11136, 28880, 30307, 23522, 2393, 60, 15104, 5, 2582, 6087, 1188, 16258, 11933, 2788, 5471, 9983, 1068, 23385, 3284, 1005, 9066, 1026, 12191, 1049, 17042, 18664, 1006, 3028, 9598, 1009, 14087, 11393, 1, 1766, 24432, 1620, 13900, 3587, 4331, 1049, 19890, 18, 1118, 1616, 16979, 1006, 5319, 1005, 5766, 3749, 1006, 1224, 3621, 1072, 1064, 3144, 13492, 1124, 3638, 18375, 1233, 3560, 4007, 29408, 1009, 1044, 2386, 1009, 17377, 1072, 1235, 5109, 20, 15727, 5992, 1006, 3560, 1187, 3948, 1060, 10465, 1005, 1006, 1224, 5275, 150, 19030, 1533, 3364, 1049, 24432, 1620, 8285, 1072, 4898, 2952, 1049, 6901, 1126, 1005, 1132, 1048, 11640, 1072, 4898, 4987, 13900, 1745, 20954, 9698, 1554, 28368, 12697, 1356, 14330, 14244, 2162, 2244, 1112, 3272, 12079, 1005, 1240, 3131, 1009, 6411, 20, 22320, 2885, 1294, 24500, 1005, 7009, 1006, 1834, 4007, 8607, 13492, 1048, 1006, 10419, 2112, 1026, 7743, 1213, 1235, 5675, 1043, 1006, 4863, 8202, 17913, 1063, 11862, 1133, 10188, 1287, 8732, 13387, 1005, 1572, 6315, 6154, 1043, 1026, 7730, 11676, 1138, 1235, 15118, 3505, 150, 2328, 1187, 1734, 25747, 1044, 2631, 3041, 1068, 21239, 1005, 17097, 1024, 7963, 7531, 1005, 3239, 1009, 1834, 23208, 29524, 1184, 3232, 1206, 1511, 1132, 24432, 2922, 1656, 1068, 1026, 4898, 15583, 4441, 9200, 6097, 1708, 3057, 3041, 3775, 1026, 4774, 1005, 1006, 10465, 1132, 13102, 1132, 7383, 11176, 1006, 16206, 2485, 1124, 2460, 5247, 1026, 6730, 1006, 2926, 1005, 1026, 3445, 5613, 20599, 3775, 1090, 2021, 13104, 16674, 7195, 10513, 1229, 10016, 1005, 6941, 1345, 1618, 73, 2130, 20, 1138, 3453, 4007, 1130, 3893, 1309, 1299, 4597, 1048, 4524, 14028, 1068, 9282, 1138, 7245, 1187, 7871, 1096, 18785, 1309, 2177, 1094, 23071, 29627, 3138, 1005, 19111, 1026, 3654, 1049, 11092, 1640, 76, 1321, 85, 2177, 19228, 1309, 1118, 1044, 9327, 19394, 2340, 1054, 6019, 1049, 1531, 3186, 1124, 20599, 8989, 6423, 1027, 1213, 8937, 1704, 1622, 1114, 1487, 0, 4769, 1072, 2738, 1049, 3681, 29807, 7741, 21333, 1392, 1005, 7066, 1273, 1309, 3192, 1009, 13020, 20, 1063, 2687, 1188, 8285, 3838, 20, 2034, 8048, 1242, 3378, 3622, 3775, 1798, 5010, 1766, 1962, 3304, 1074, 7531, 1026, 29386, 1130, 1627, 18593, 1077, 5193, 1187, 5870, 1184, 2385, 1010, 1009, 1663, 20901, 8335, 1986, 1026, 1531, 3186, 1299, 13419, 1184, 5058, 17885, 2773, 1013, 1371, 20, 1766, 1048, 16532, 7176, 2808, 1027, 1094, 3621, 1043, 10367, 20, 1766, 5435, 1544, 2808, 1027, 1132, 18635, 1009, 1048, 25403, 20, 6126, 13851, 1009, 1094, 5042, 1009, 26123, 1048, 2177, 5450, 1533, 2926, 8285, 7640, 1668, 22085, 9338, 3041, 1068, 1006, 2926, 2730, 1901, 2631, 1068, 16550, 1138, 7051, 8285, 1322, 1124, 15186, 4650, 1159, 2129, 21276, 7757, 1005, 6119, 1094, 7344, 1006, 4085, 1060, 17677, 12010, 1009, 7110, 23001, 1026, 15098, 16732, 10038, 20, 1063, 18198, 1072, 1531, 1984, 12097, 150, 1160, 4564, 10022, 7531, 1009, 2926, 1159, 29807, 3398, 11429, 1322, 7744, 1005, 1054, 29727, 1337, 4441, 15718, 1689, 2808, 1027, 1026, 3445, 1054, 7066, 1273, 1072, 2386, 1009, 2011, 1005, 1043, 1132, 1048, 1826, 11464, 1043, 1006, 24102, 6218, 7195, 3505, 2328, 1060, 6820, 1009, 4327, 12583, 1233, 1224, 3560, 1711, 1044, 3759, 7941, 1206, 4260, 1711, 1206, 1495, 1044, 1935, 31619, 9528, 1159, 5534, 14612, 1160, 2177, 3192, 1009, 13020, 20, 1063, 2952, 1990, 1043, 1783, 1009, 3189, 1005, 1680, 23014, 21233, 1184, 1049, 1048, 1026, 26719, 1, 4561, 1016, 1009, 29914, 32, 1359, 11569, 1140, 1043, 12265, 1009, 12180, 1170, 1005, 1317, 3198, 1016, 1043, 9496, 1009, 3178, 1146, 3276, 20, 2494, 11719, 4955, 1371, 10441, 3461, 1005, 31584, 1005, 1043, 1044, 1852, 19391, 1005, 15267, 1069, 1797, 1593, 14504, 3292, 3434, 5602, 9487, 9024, 1283, 4986, 1227, 1095, 1067, 2363, 92, 1560, 1081, 3576, 1021, 2484, 32, 2425, 20764, 1009, 2043, 5536, 1893, 1043, 5049, 4372, 1890, 1124, 6316, 9417, 2975, 4464, 1054, 1048, 1096, 4661, 1006, 20633, 24736, 1338, 17016, 1009, 1307, 3952, 1054, 2696, 3087, 1009, 1429, 9915, 5976, 20, 1, 5945, 20354, 17906, 4598, 1049, 7414, 1009, 6782, 1060, 2828, 2375, 12841, 2646, 6070, 22348, 1349, 1043, 3513, 1054, 6048, 29182, 3613, 1072, 7276, 1049, 6782, 1060, 4630, 5559, 1411, 6365, 1271, 8965, 4407, 26355, 1005, 2387, 10737, 6782, 4594, 30060, 6782, 6324, 18589, 11137, 9598, 1005, 2089, 1072, 1072, 9104, 1049, 6782, 8450, 1048, 6011, 2269, 1054, 6543, 1009, 12486, 24554, 1005, 18730, 17885, 6061, 6600, 1054, 11837, 16826, 1357, 2828, 1009, 2915, 1046, 21901, 22755, 2418, 18330, 1069, 3504, 3682, 1091, 1009, 17417, 1119, 1281, 13126, 16826, 15, 1114, 16552, 5365, 1079, 14164, 17575, 2445, 1054, 3032, 1043, 1026, 17559, 2873, 1295, 1294, 11837, 16826, 1005, 1114, 1200, 3096, 1095, 1525, 1009, 9808, 20, 19668, 1079, 18610, 28756, 2636, 1005, 1428, 1041, 8736, 2966, 16842, 1006, 15081, 20, 10003, 4581, 17070, 1054, 7564, 1060, 7527, 3803, 30943, 1054, 7906, 1333, 1009, 4062, 22995, 5559, 71, 1357, 2828, 1009, 2915, 1046, 1662, 1126, 1048, 2747, 1785, 18848, 6903, 3368, 7769, 1005, 12165, 5345, 13694, 1195, 6256, 1006, 17429, 1118, 7927, 4750, 9406, 27395, 1006, 17675, 1049, 1082, 21215, 8528, 4862, 5788, 2045, 31984, 22995, 1124, 1006, 7933, 8829, 1014, 1234, 7945, 3980, 95, 2159, 27935, 1123, 3626, 1678, 2743, 1009, 4843, 1005, 8274, 1651, 1021, 1662, 2408, 1357, 6610, 11005, 4585, 30, 1006, 4579, 1565, 2013, 31850, 1896, 29032, 1114, 16032, 1112, 1049, 18656, 39, 1175, 4316, 1009, 20511, 1213, 4501, 2642, 27318, 1114, 30335, 1054, 15915, 1571, 7584, 5502, 1009, 3790, 1006, 6894, 11289, 18, 24721, 1009, 9996, 1005, 3790, 4185, 1038, 1221, 1006, 2015, 1452, 14457, 1054, 25563, 1112, 1009, 4501, 2642, 27318, 2645, 3920, 39, 1565, 1482, 4053, 1195, 19482, 1068, 1026, 1424, 18081, 1009, 5110, 1060, 3597, 3741, 6367, 1560, 2689, 29156, 3773, 1253, 3399, 6158, 16391, 32, 3292, 7827, 1678, 2778, 1223, 16688, 13938, 1647, 2325, 2159, 5926, 13224, 3098, 3234, 1357, 1062, 21853, 1479, 31984, 19854, 2679, 1098, 18714, 1283, 18377, 1899, 2196, 1026, 6980, 1311, 1827, 1748, 11668, 1184, 5485, 1060, 5253, 1068, 1006, 15204, 1054, 6644, 1005, 6686, 2275, 8601, 2743, 1096, 4538, 3013, 16515, 1009, 1307, 19520, 1253, 12342, 1678, 1720, 18409, 3292, 7827, 1678, 2778, 1223, 2325, 1005, 5926, 2325, 1916, 3126, 14439, 3013, 8986, 3234, 1049, 2417, 1009, 8274, 4750, 2373, 42, 28573, 89, 1409, 14047, 1123, 22364, 626, 1049, 4632, 20821, 1221, 2375, 12841, 9955, 28735, 1159, 2373, 72, 1104, 626, 1357, 8240, 1068, 11137, 1005, 10482, 1009, 4119, 1006, 16202, 3126, 14439, 3013, 1049, 30943, 1054, 6782, 1479, 24516, 16914, 19, 4736, 14206, 1060, 2828, 2375, 12841, 2646, 1009, 4152, 1006, 16202, 20567, 1623, 8128, 4091, 12353, 4538, 1126, 6740, 2745, 1322, 30158, 9356, 11837, 6268, 9628, 4630, 11005, 1005, 7945, 3980, 2275, 11090, 6546, 1225, 17599, 1225, 14182, 2539, 7896, 17071, 1229, 5314, 1054, 3425, 4726, 10028, 1068, 2247, 1009, 5924, 18, 1043, 3553, 4195, 19953, 22090, 1005, 13469, 25316, 1322, 5680, 12894, 1229, 1054, 3032, 1005, 1072, 5989, 9596, 7595, 8912, 1318, 2539, 4203, 17071, 1229, 4352, 71, 7460, 2260, 1161, 1009, 30943, 1005, 1030, 4901, 1009, 6061, 1164, 5457, 1005, 1225, 28196, 1054, 2625, 4965, 1009, 4538, 3803, 31165, 1054, 2523, 1151, 175, 3308, 1009, 9262, 5761, 1191, 1392, 1009, 19745, 1005, 2224, 1151, 175, 3308, 1009, 1049, 2483, 5457, 5735, 1014, 7566, 7012, 675, 646, 57, 1036, 1304, 1049, 7566, 675, 644, 5, 25180, 2484, 5, 25180, 2484, 4987, 2324, 2576, 7012, 2503, 8871, 1623, 8128, 4091, 12353, 2324, 16190, 1009, 25927, 1797, 1593, 1509, 1229, 20567, 1623, 1797, 1593, 1509, 1229, 1119, 2904, 1593, 1509, 1229, 4808, 1067, 2904, 1593, 1509, 1229, 20567, 1623, 8128, 5, 25180, 1339, 1544, 1009, 2566, 1797, 1979, 5974, 5, 3531, 1442, 19, 5402, 5963, 6441, 5237, 42, 1605, 24978, 3107, 2963, 42, 5, 6951, 19, 2621, 24, 2541, 3413, 31, 11625, 4160, 26, 2503, 1104, 13749, 1009, 7689, 1797, 3712, 18147, 1175, 6782, 6170, 2715, 3036, 6170, 2715, 1183, 8018, 5151, 1112, 3008, 75, 3076, 1383, 4418, 6226, 4093, 1255, 3029, 1576, 75, 1014, 12804, 7665, 5919, 3014, 1438, 6136, 2715, 1183, 1795, 5201, 1308, 47, 1590, 3975, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 5056, 19668, 1348, 1661, 1031, 1778, 2663, 8534, 43, 3096, 1489, 1078, 33, 4091, 1524, 1577, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 4681, 19668, 1348, 1661, 1031, 1778, 2663, 24, 7199, 26715, 1027, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 4681, 19668, 1348, 2810, 1754, 3106, 8534, 10081, 1112, 3564, 1007, 91, 1797, 12893, 12039, 24, 8018, 13869, 2876, 2503, 1097, 31552, 18330, 1069, 3504, 3863, 1009, 17417, 1009, 1013, 13126, 6826, 4334, 1097, 1922, 1308, 7851, 1540, 1115, 1009, 2915, 1046, 1662, 1126, 4573, 4895, 51, 5356, 28013, 2164, 15131, 8524, 56, 14479, 2164, 6793, 12239, 13411, 45, 2982, 32, 29695, 41, 29482, 1144, 2713, 51, 3071, 21892, 1084, 1082, 5237, 47, 123, 58, 13889, 2818, 4864, 1063, 4187, 8, 4139, 2164, 43, 14527, 22656, 2393, 5250, 4824, 1308, 18364, 1074, 1029, 1778, 4301, 1064, 2363, 1131, 11740, 31, 8018, 13869, 2876, 6416, 1302, 1333, 1009, 4062, 1431, 11491, 5559, 71, 3306, 1165, 12276, 1308, 7851, 1540, 1115, 1009, 2915, 1046, 1662, 1126, 4573, 5, 18364, 2021, 1029, 1778, 11740, 28, 8018, 13869, 2876, 2503, 4550, 4852, 1009, 7906, 1333, 4429, 13048, 1166, 1198, 1106, 2910, 1133, 1469, 1104, 4624, 3504, 19307, 21990, 4334, 15861, 14079, 25145, 1990, 1054, 11137, 1060, 16144, 24848, 1540, 1115, 1009, 2915, 1046, 1662, 1126, 4573, 5, 18364, 2021, 1029, 1778, 1576, 1421, 3393, 3467, 1797, 1979, 1797, 20256, 19309, 7133, 29370 ]

[ 2966, 7204, 18, 19544, 1005, 5065, 19, 1137, 4589, 1257, 1505, 2143, 6079, 2200, 1056, 1280, 1134, 1165, 4358, 1318, 4485, 1159, 6525, 1434, 4760, 1236, 2196, 1195, 1094, 20632, 1896, 7197, 1009, 19544, 14478, 11451, 23533, 1054, 2754, 13468, 1213, 2729, 1009, 1224, 24102, 8144, 1009, 1456, 11451, 1184, 14960, 5241, 5452, 12224, 1098, 10890, 1021, 1406, 5452, 12224, 1067, 6206, 2186, 8215, 19264, 1005, 5091, 1875, 1434, 4760, 21578, 1067, 6206, 2100, 11203, 11451, 1596, 12768, 1463, 9683, 1009, 11436, 1005, 10321, 1005, 10979, 16804, 1112, 1060, 7799, 1118, 1224, 12769, 11864, 1005, 1026, 3239, 8808, 3872, 1009, 4760, 1236, 3965, 1257, 1257, 1776, 5661, 2097, 5300, 1132, 6353, 6011, 1456, 11451, 6133, 1656, 1054, 2754, 13468, 18, 1752, 1044, 2569, 1456, 7180, 11819, 9562, 15469, 1005, 12663, 3220, 1009, 3560, 2100, 1, 1119, 1140, 1006, 4380, 32, 3713, 1325, 11729, 1058, 1976, 4883, 1044, 25093, 3713, 10365, 1068, 1132, 5812, 20, 1063, 2511, 10510, 5087, 10262, 1206, 4910, 1461, 1124, 12110, 1009, 1299, 4883, 1026, 4168, 37, 3064, 2178, 32, 6472, 2289, 9889, 7, 4225, 2063, 1049, 4168, 32, 2654, 8757, 1785, 1044, 10276, 2536, 1123, 61, 1119, 50, 1009, 2618, 23716, 5565, 1069, 1118, 20557, 2246, 1160, 2133, 1461, 1072, 2092, 27402, 1206, 1169, 81, 1164, 4589, 6566, 8540, 4445, 1005, 6518, 1068, 31871, 11100, 8548, 1233, 5809, 9513, 2654, 2276, 26213, 1026, 8725, 24165, 10276, 2536, 1123, 61, 1119, 50, 1005, 1264, 1566, 1058, 7217, 7640, 7, 5139, 1549, 1422, 18000, 1054, 1675, 19, 2018, 18176, 4686, 1005, 9160, 27, 19530, 1054, 2182, 13223, 1184, 13339, 20, 2656, 9470, 1044, 2863, 1009, 13260, 1043, 1207, 21, 61, 1206, 1067, 21, 31279, 2200, 1225, 1235, 3266, 6307, 1048, 1195, 1044, 2863, 1043, 1026, 10276, 4283, 6785, 4619, 16392, 1043, 1026, 2092, 27402, 20, 4378, 5681, 1325, 1058, 13522, 1159, 9491, 1188, 8520, 1838, 2270, 1257, 1063, 3484, 1096, 22436, 10510, 4910, 1461, 1124, 12110, 1009, 4883, 1026, 25093, 1257, 1257, 4298, 2484, 32, 1138, 3479, 1060, 10510, 10863, 1048, 1026, 4168, 1381, 2289, 4724, 8878, 1026, 1048, 1096, 1094, 11980, 4286, 8659, 1063, 10510, 1318, 19067, 1048, 1006, 5681, 1009, 10276, 3388, 1160, 20237, 1072, 27402, 1206, 31289, 1049, 17829, 1309, 1026, 8725, 24165, 10276, 17, 5705, 61, 1119, 50, 20237, 22994, 24056, 1138, 3142, 1318, 19067, 1006, 6187, 1049, 18488, 1048, 1096, 1044, 10474, 10492, 20, 3423, 2668, 1026, 3142, 1160, 13968, 3819, 16192, 1206, 6137, 1009, 13260, 3171, 1043, 1026, 25093, 1063, 10510, 1318, 19067, 1048, 1026, 4168, 1225, 1224, 3486, 4633, 1009, 31018, 1026, 1048, 1195, 1044, 2863, 1043, 1006, 5681, 1009, 10276, 18285, 1776, 5661, 1006, 10510, 5420, 17320, 10492, 1322, 1026, 4818, 1005, 1132, 3480, 1049, 18488, 1026, 1048, 4910, 1461, 1124, 12110, 1009, 4883, 1026, 25093, 1, 5344, 2909, 1044, 2991, 1009, 1094, 10510, 20239, 4777, 8, 2584, 10510, 20239, 1096, 1094, 6621, 7799, 1009, 1044, 18488, 3159, 1206, 3513, 1048, 18013, 31776, 1112, 1206, 1009, 11502, 20, 7216, 1325, 1044, 2991, 1009, 1094, 10510, 20239, 32, 1257, 23612, 5384, 26213, 7889, 1044, 2017, 17637, 6235, 1060, 4214, 1842, 63, 64, 18, 1005, 1503, 2449, 1048, 3754, 1048, 3074, 8183, 12408, 9530, 1069, 1043, 1006, 2348, 1287, 5304, 1138, 17637, 6235, 1096, 19130, 1005, 7520, 1623, 1043, 3553, 4195, 5700, 3179, 11246, 1663, 2073, 10864, 1063, 9178, 1060, 9371, 1318, 1096, 13771, 8523, 4217, 1077, 1657, 2350, 3229, 1996, 1009, 8307, 1178, 30239, 20423, 3423, 2668, 1006, 3513, 1009, 5883, 1213, 4174, 1195, 13771, 18210, 3735, 1770, 1089, 1068, 3523, 1024, 1124, 3796, 5247, 8717, 10053, 1054, 2540, 1118, 1184, 1009, 1094, 3907, 1005, 1846, 18023, 1068, 2539, 9586, 1048, 1160, 1596, 9673, 1009, 1323, 2213, 3144, 1776, 5661, 1503, 1160, 5179, 1461, 1668, 17637, 6235, 1206, 2237, 4214, 1006, 6082, 2100, 1257, 1257, 4378, 10510, 9326, 2539, 3171, 8745, 1043, 1026, 4168, 1005, 1006, 3513, 1009, 5883, 1213, 22682, 2200, 1318, 5631, 1094, 5864, 8239, 1009, 31776, 1112, 1005, 1044, 12855, 1068, 1734, 1048, 18909, 1006, 5554, 1049, 25093, 4225, 7237, 26089, 1159, 2237, 1693, 1261, 1044, 5802, 10745, 1114, 14298, 1005, 1463, 6433, 1009, 1094, 9320, 1005, 1096, 1118, 1616, 1048, 1096, 2512, 1048, 1124, 3235, 1756, 1040, 1006, 13020, 1026, 17320, 1187, 4209, 1005, 2116, 1040, 1068, 5807, 7636, 5729, 2100, 1, 2951, 4364, 1477, 32, 15598, 23438, 15, 1175, 2858, 2417, 1009, 12434, 1005, 3935, 2650, 21044, 1325, 7153, 3629, 4750, 1068, 12228, 1094, 2360, 3902, 1357, 3484, 1049, 1908, 1068, 9550, 2873, 23561, 4485, 29704, 1159, 1006, 1150, 63, 26538, 8, 1206, 15149, 14425, 14210, 2100, 4116, 2729, 1187, 2864, 1184, 1009, 9018, 1783, 10680, 1048, 14400, 1026, 2191, 11566, 14425, 1941, 26538, 1054, 1094, 2236, 31137, 1005, 17981, 2669, 1060, 5704, 5046, 1009, 21454, 10277, 1973, 1006, 9394, 1009, 4816, 20035, 1842, 1407, 2634, 3057, 4802, 2270, 27804, 1887, 1463, 9683, 1009, 9689, 1005, 8911, 12093, 28182, 1094, 4386, 2166, 1005, 1044, 1028, 1810, 1403, 1958, 11576, 16653, 1009, 4393, 1014, 1213, 1941, 1281, 7076, 1309, 1160, 5756, 5869, 18, 13236, 1026, 6840, 20, 11212, 1040, 1146, 3035, 23808, 1040, 1094, 6869, 1048, 12604, 1114, 16824, 1005, 1225, 1184, 1009, 1101, 4722, 1009, 4464, 1043, 10826, 26864, 10245, 29447, 1206, 1244, 2184, 1118, 2220, 1026, 1235, 12628, 1973, 1842, 1407, 91, 1377, 9072, 1006, 21454, 1089, 16490, 2878, 20047, 14116, 1325, 1233, 2900, 1009, 22006, 1009, 2220, 1026, 1784, 1068, 1058, 14820, 1006, 1857, 1054, 2924, 16974, 1068, 7508, 1132, 1941, 1281, 17463, 28242, 9055, 1048, 1132, 3948, 1060, 2759, 4444, 3892, 2585, 2340, 12413, 1493, 2011, 1072, 2568, 1406, 1973, 2397, 85, 3474, 15390, 4189, 18, 12884, 1049, 12069, 1233, 1842, 1407, 91, 1377, 2605, 1006, 2759, 4597, 1048, 4537, 1006, 2916, 1009, 1782, 2744, 1009, 3504, 91, 3297, 16736, 2704, 2744, 1009, 9697, 15, 19198, 1005, 1325, 9485, 1043, 3235, 1005, 1734, 9134, 1068, 3871, 1026, 15068, 2276, 1620, 1160, 1837, 7333, 1068, 1511, 1857, 1693, 1977, 1930, 13236, 1026, 6840, 20, 1063, 5310, 1160, 1096, 11553, 1006, 5869, 20, 6126, 2653, 11261, 1322, 14546, 11058, 12897, 1005, 9839, 1006, 25948, 1209, 1054, 5314, 3245, 7516, 1049, 7751, 1505, 3018, 1132, 1030, 1316, 1095, 2314, 1837, 1493, 1557, 16381, 1322, 1006, 7064, 1049, 1941, 1095, 1803, 1206, 2951, 72, 1104, 1021, 4584, 27007, 1736, 8, 1463, 10892, 13003, 1009, 1224, 3548, 11763, 1028, 1367, 3567, 22502, 12155, 5344, 2909, 1026, 1853, 3479, 1068, 1668, 3407, 37, 4499, 1206, 11281, 1006, 3484, 3793, 73, 1793, 1573, 1068, 7508, 1026, 9550, 2873, 1252, 8, 1060, 5310, 20138, 1257, 1063, 12943, 15753, 57, 2334, 1026, 1853, 3479, 1068, 1668, 3407, 2909, 3793, 73, 1793, 24387, 1068, 7508, 1026, 9550, 2873, 1252, 1060, 5310, 2100, 1, 5344, 2909, 1044, 2991, 1009, 1094, 10510, 20239, 4777, 2584, 10510, 20239, 1096, 1511, 4327, 4166, 1206, 1919, 2637, 12647, 1322, 1044, 18488, 3159, 1206, 3513, 1048, 1857, 5588, 20, 1505, 3018, 1058, 4327, 1195, 1006, 1044, 9868, 1005, 1160, 23613, 1060, 9272, 1206, 1049, 15929, 1857, 7937, 5522, 1094, 10510, 20239, 6909, 1048, 1006, 9272, 1516, 12647, 1005, 1026, 3159, 1516, 19130, 20, 7496, 1058, 4327, 15317, 1044, 28156, 1048, 22306, 4456, 2745, 1857, 1693, 5522, 1094, 10510, 20239, 6909, 1048, 1026, 28156, 1160, 1516, 1009, 3593, 3450, 1005, 1857, 1160, 5179, 1461, 1006, 9918, 1, 22502, 12155, 7672, 5759, 1006, 15540, 9582, 3801, 37, 1257, 21567, 32, 2034, 15607, 23383, 6078, 9378, 1327, 4282, 2905, 1356, 20374, 1049, 2956, 3936, 1676, 1009, 5722, 8712, 1048, 1096, 13709, 1069, 1005, 3356, 1188, 1356, 5019, 1271, 15607, 6729, 5010, 1257, 2858, 2863, 6096, 3498, 3257, 11922, 1063, 4960, 1096, 12252, 1236, 1009, 1871, 7519, 8772, 37, 1257, 1257, 7736, 2287, 9605, 32, 1655, 19, 67, 1841, 20, 1655, 19, 67, 8102, 3320, 1063, 3484, 21449, 1160, 20982, 5232, 1006, 4960, 4661, 1322, 2306, 5759, 1006, 15540, 9582, 24066, 1, 3064, 1036, 1435, 11970, 4595, 2237, 26852, 7256, 1210, 1606, 2902, 1600, 85, 80, 8135, 1044, 4530, 1175, 5773, 2730, 9624, 7215, 1044, 1901, 17865, 3532, 5694, 1026, 5548, 1060, 2969, 1126, 1026, 1015, 1500, 7403, 2318, 5697, 25201, 77, 29821, 1159, 6680, 1049, 7433, 1030, 4622, 1330, 9041, 1973, 1026, 2671, 13630, 1257, 1257, 3064, 4672, 25500, 7256, 2376, 1606, 2902, 1632, 85, 80, 8135, 1048, 18439, 1044, 3129, 10745, 1054, 1044, 9624, 1048, 5687, 1837, 1044, 4183, 1195, 6738, 1159, 1026, 2017, 6680, 1049, 7433, 1030, 4622, 1330, 9041, 18090, 1026, 7256, 1067, 1500, 7403, 2695, 5697, 25201, 77, 29821, 1009, 2303, 1043, 1044, 11829, 3330, 1356, 2671, 1114, 9307, 20, 1, 4378, 1096, 1094, 3484, 10758, 1233, 2511, 4960, 1322, 1006, 3578, 5947, 8724, 1377, 4499, 1206, 1160, 37, 21567, 32, 1063, 4600, 24412, 1131, 1713, 1009, 9856, 24, 1072, 21382, 1009, 9856, 24, 1054, 10360, 3309, 14278, 2497, 1060, 4630, 15, 7023, 1043, 1026, 1745, 2060, 24412, 1131, 1905, 1114, 10556, 1009, 2487, 5206, 5984, 7460, 30991, 1435, 1006, 11061, 4866, 3336, 22502, 12155, 1026, 1048, 4312, 1006, 3781, 6451, 3630, 1187, 1734, 15753, 27452, 2237, 1160, 1096, 1094, 3484, 10758, 1068, 1006, 4960, 8701, 1048, 2521, 1006, 3781, 6451, 3630, 1187, 1734, 2100, 1063, 3484, 21449, 1657, 5879, 1322, 1044, 3366, 7347, 1890, 1006, 3578, 5947, 1005, 1160, 20982, 1124, 9331, 1184, 3322, 1016, 1365, 1006, 3578, 5947, 1005, 2089, 8178, 12316, 1257, 1972, 6679, 1233, 4960, 8701, 1048, 2521, 1006, 3781, 6451, 3630, 1187, 1734, 1406, 10395, 8316, 1124, 5625, 16323, 1060, 3578, 5947, 20, 3316, 1271, 3145, 9331, 1096, 1048, 1006, 3578, 5947, 1195, 9256, 1140, 2453, 1009, 1044, 3872, 6402, 1054, 1472, 1009, 1365, 2625, 15005, 20, 3423, 2668, 1006, 3578, 5947, 1195, 9256, 1140, 1322, 1006, 4380, 1060, 8061, 18677, 1048, 1195, 1094, 4380, 10936, 21061, 1486, 1005, 11864, 1048, 15622, 1058, 22945, 1837, 2937, 5010, 1063, 8323, 1049, 8209, 1318, 1195, 1305, 20085, 4837, 1043, 11112, 1009, 8471, 1009, 9935, 1005, 12108, 10931, 1569, 10034, 1213, 2729, 1060, 23071, 21893, 1006, 3578, 5947, 2569, 1044, 9278, 5802, 1114, 4263, 1005, 1114, 3568, 27973, 7439, 1006, 5376, 17706, 1294, 1646, 1048, 1058, 19907, 2100, 1, 11955, 1006, 24378, 4331, 1005, 9608, 2997, 4972, 1322, 1026, 1015, 6489, 1025, 73, 77, 1179, 1021, 1538, 4676, 1175, 8521, 1175, 1613, 89, 1175, 4286, 1129, 1175, 1607, 1165, 1421, 2206, 89, 1175, 3504, 75, 7011, 1175, 1172, 7808, 1175, 17992, 1009, 9407, 1175, 1720, 7012, 1175, 2269, 1009, 9407, 1175, 1607, 1165, 5895, 75, 7011, 1175, 13164, 6031, 32, 31920, 6713, 1151, 3585, 1175, 31920, 6713, 1151, 3585, 1538, 1025, 73, 77, 1179, 1021, 8754, 1175, 4546, 19, 10165, 2978, 1009, 2992, 1009, 14794, 1175, 88, 88, 88, 1009, 14794, 1175, 1096, 1044, 5485, 12484, 3467, 31506, 1264, 5474, 6471, 1159, 6680, 1009, 31975, 1114, 1641, 1009, 19975, 1678, 1257, 21567, 2083, 57, 6489, 22073, 1179, 1021, 1195, 1044, 12484, 4431, 1048, 5810, 1054, 2978, 1009, 2992, 1009, 2454, 3537, 2200, 9239, 1159, 31241, 2961, 1291, 1890, 1224, 3560, 1005, 2569, 1094, 4464, 1009, 6151, 1487, 7360, 1782, 13418, 5010, 22073, 1179, 1021, 2845, 1224, 3560, 12740, 1068, 2539, 5962, 1400, 1309, 1132, 8521, 8745, 1048, 1264, 9239, 1005, 1026, 2285, 1009, 5350, 1732, 1048, 1264, 4857, 1160, 1327, 29719, 1114, 5409, 1004, 3567, 2200, 1318, 1160, 2569, 4697, 3513, 8700, 1230, 1890, 1224, 24102, 22073, 1179, 1021, 1058, 6681, 6452, 1049, 3246, 3467, 1005, 5474, 6471, 1159, 1026, 6680, 1009, 31975, 1114, 19110, 1009, 1156, 4875, 28455, 19622, 20, 1063, 24378, 1160, 19067, 4697, 4734, 1322, 1456, 7882, 18910, 1890, 1224, 3560, 1009, 4530, 20, 5024, 1720, 7012, 1096, 22857, 6669, 22073, 1179, 3926, 1309, 1264, 1096, 13863, 3201, 1159, 7806, 20, 2200, 5810, 1114, 13723, 1309, 1026, 2386, 1009, 9407, 7347, 1160, 1096, 5534, 2270, 1, 1150, 55, 32, 3735, 1094, 11003, 1325, 2467, 6058, 1006, 3364, 1271, 1783, 6733, 1006, 2236, 1026, 1184, 6518, 2481, 1005, 1058, 29963, 1068, 1006, 21053, 2605, 1837, 2350, 1783, 1048, 4343, 4659, 1054, 1456, 7041, 1005, 1848, 8557, 1068, 1026, 3709, 1060, 11003, 20, 11595, 1783, 1826, 1277, 5084, 1006, 27188, 2435, 1178, 28306, 1118, 31935, 1206, 13873, 1009, 3114, 8598, 1118, 3907, 1068, 1006, 11796, 1009, 1419, 1006, 11003, 1009, 4236, 20, 2951, 11003, 8027, 1435, 1150, 1325, 1058, 5700, 1044, 1475, 1065, 7039, 1752, 1472, 1184, 20726, 4807, 1072, 4316, 9706, 1553, 1187, 2138, 6547, 1571, 1837, 19949, 26549, 1365, 3261, 1005, 29433, 2858, 8027, 3298, 1009, 11003, 5090, 1026, 4604, 24380, 1006, 6211, 1068, 1026, 3810, 6840, 17163, 21860, 2170, 1054 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2966, 7204, 18, 19544, 1005, 5065, 19, 1137, 4589, 1257, 1505, 2143, 6079, 2200, 1056, 1280, 1134, 1165, 4358, 1318, 4485, 1159, 6525, 1434, 4760, 1236, 2196, 1195, 1094, 20632, 1896, 7197, 1009, 19544, 14478, 11451, 23533, 1054, 2754, 13468, 1213, 2729, 1009, 1224, 24102, 8144, 1009, 1456, 11451, 1184, 14960, 5241, 5452, 12224, 1098, 10890, 1021, 1406, 5452, 12224, 1067, 6206, 2186, 8215, 19264, 1005, 5091, 1875, 1434, 4760, 21578, 1067, 6206, 2100, 11203, 11451, 1596, 12768, 1463, 9683, 1009, 11436, 1005, 10321, 1005, 10979, 16804, 1112, 1060, 7799, 1118, 1224, 12769, 11864, 1005, 1026, 3239, 8808, 3872, 1009, 4760, 1236, 3965, 1257, 1257, 1776, 5661, 2097, 5300, 1132, 6353, 6011, 1456, 11451, 6133, 1656, 1054, 2754, 13468, 18, 1752, 1044, 2569, 1456, 7180, 11819, 9562, 15469, 1005, 12663, 3220, 1009, 3560, 2100, 1, 1119, 1140, 1006, 4380, 32, 3713, 1325, 11729, 1058, 1976, 4883, 1044, 25093, 3713, 10365, 1068, 1132, 5812, 20, 1063, 2511, 10510, 5087, 10262, 1206, 4910, 1461, 1124, 12110, 1009, 1299, 4883, 1026, 4168, 37, 3064, 2178, 32, 6472, 2289, 9889, 7, 4225, 2063, 1049, 4168, 32, 2654, 8757, 1785, 1044, 10276, 2536, 1123, 61, 1119, 50, 1009, 2618, 23716, 5565, 1069, 1118, 20557, 2246, 1160, 2133, 1461, 1072, 2092, 27402, 1206, 1169, 81, 1164, 4589, 6566, 8540, 4445, 1005, 6518, 1068, 31871, 11100, 8548, 1233, 5809, 9513, 2654, 2276, 26213, 1026, 8725, 24165, 10276, 2536, 1123, 61, 1119, 50, 1005, 1264, 1566, 1058, 7217, 7640, 7, 5139, 1549, 1422, 18000, 1054, 1675, 19, 2018, 18176, 4686, 1005, 9160, 27, 19530, 1054, 2182, 13223, 1184, 13339, 20, 2656, 9470, 1044, 2863, 1009, 13260, 1043, 1207, 21, 61, 1206, 1067, 21, 31279, 2200, 1225, 1235, 3266, 6307, 1048, 1195, 1044, 2863, 1043, 1026, 10276, 4283, 6785, 4619, 16392, 1043, 1026, 2092, 27402, 20, 4378, 5681, 1325, 1058, 13522, 1159, 9491, 1188, 8520, 1838, 2270, 1257, 1063, 3484, 1096, 22436, 10510, 4910, 1461, 1124, 12110, 1009, 4883, 1026, 25093, 1257, 1257, 4298, 2484, 32, 1138, 3479, 1060, 10510, 10863, 1048, 1026, 4168, 1381, 2289, 4724, 8878, 1026, 1048, 1096, 1094, 11980, 4286, 8659, 1063, 10510, 1318, 19067, 1048, 1006, 5681, 1009, 10276, 3388, 1160, 20237, 1072, 27402, 1206, 31289, 1049, 17829, 1309, 1026, 8725, 24165, 10276, 17, 5705, 61, 1119, 50, 20237, 22994, 24056, 1138, 3142, 1318, 19067, 1006, 6187, 1049, 18488, 1048, 1096, 1044, 10474, 10492, 20, 3423, 2668, 1026, 3142, 1160, 13968, 3819, 16192, 1206, 6137, 1009, 13260, 3171, 1043, 1026, 25093, 1063, 10510, 1318, 19067, 1048, 1026, 4168, 1225, 1224, 3486, 4633, 1009, 31018, 1026, 1048, 1195, 1044, 2863, 1043, 1006, 5681, 1009, 10276, 18285, 1776, 5661, 1006, 10510, 5420, 17320, 10492, 1322, 1026, 4818, 1005, 1132, 3480, 1049, 18488, 1026, 1048, 4910, 1461, 1124, 12110, 1009, 4883, 1026, 25093, 1, 5344, 2909, 1044, 2991, 1009, 1094, 10510, 20239, 4777, 8, 2584, 10510, 20239, 1096, 1094, 6621, 7799, 1009, 1044, 18488, 3159, 1206, 3513, 1048, 18013, 31776, 1112, 1206, 1009, 11502, 20, 7216, 1325, 1044, 2991, 1009, 1094, 10510, 20239, 32, 1257, 23612, 5384, 26213, 7889, 1044, 2017, 17637, 6235, 1060, 4214, 1842, 63, 64, 18, 1005, 1503, 2449, 1048, 3754, 1048, 3074, 8183, 12408, 9530, 1069, 1043, 1006, 2348, 1287, 5304, 1138, 17637, 6235, 1096, 19130, 1005, 7520, 1623, 1043, 3553, 4195, 5700, 3179, 11246, 1663, 2073, 10864, 1063, 9178, 1060, 9371, 1318, 1096, 13771, 8523, 4217, 1077, 1657, 2350, 3229, 1996, 1009, 8307, 1178, 30239, 20423, 3423, 2668, 1006, 3513, 1009, 5883, 1213, 4174, 1195, 13771, 18210, 3735, 1770, 1089, 1068, 3523, 1024, 1124, 3796, 5247, 8717, 10053, 1054, 2540, 1118, 1184, 1009, 1094, 3907, 1005, 1846, 18023, 1068, 2539, 9586, 1048, 1160, 1596, 9673, 1009, 1323, 2213, 3144, 1776, 5661, 1503, 1160, 5179, 1461, 1668, 17637, 6235, 1206, 2237, 4214, 1006, 6082, 2100, 1257, 1257, 4378, 10510, 9326, 2539, 3171, 8745, 1043, 1026, 4168, 1005, 1006, 3513, 1009, 5883, 1213, 22682, 2200, 1318, 5631, 1094, 5864, 8239, 1009, 31776, 1112, 1005, 1044, 12855, 1068, 1734, 1048, 18909, 1006, 5554, 1049, 25093, 4225, 7237, 26089, 1159, 2237, 1693, 1261, 1044, 5802, 10745, 1114, 14298, 1005, 1463, 6433, 1009, 1094, 9320, 1005, 1096, 1118, 1616, 1048, 1096, 2512, 1048, 1124, 3235, 1756, 1040, 1006, 13020, 1026, 17320, 1187, 4209, 1005, 2116, 1040, 1068, 5807, 7636, 5729, 2100, 1, 2951, 4364, 1477, 32, 15598, 23438, 15, 1175, 2858, 2417, 1009, 12434, 1005, 3935, 2650, 21044, 1325, 7153, 3629, 4750, 1068, 12228, 1094, 2360, 3902, 1357, 3484, 1049, 1908, 1068, 9550, 2873, 23561, 4485, 29704, 1159, 1006, 1150, 63, 26538, 8, 1206, 15149, 14425, 14210, 2100, 4116, 2729, 1187, 2864, 1184, 1009, 9018, 1783, 10680, 1048, 14400, 1026, 2191, 11566, 14425, 1941, 26538, 1054, 1094, 2236, 31137, 1005, 17981, 2669, 1060, 5704, 5046, 1009, 21454, 10277, 1973, 1006, 9394, 1009, 4816, 20035, 1842, 1407, 2634, 3057, 4802, 2270, 27804, 1887, 1463, 9683, 1009, 9689, 1005, 8911, 12093, 28182, 1094, 4386, 2166, 1005, 1044, 1028, 1810, 1403, 1958, 11576, 16653, 1009, 4393, 1014, 1213, 1941, 1281, 7076, 1309, 1160, 5756, 5869, 18, 13236, 1026, 6840, 20, 11212, 1040, 1146, 3035, 23808, 1040, 1094, 6869, 1048, 12604, 1114, 16824, 1005, 1225, 1184, 1009, 1101, 4722, 1009, 4464, 1043, 10826, 26864, 10245, 29447, 1206, 1244, 2184, 1118, 2220, 1026, 1235, 12628, 1973, 1842, 1407, 91, 1377, 9072, 1006, 21454, 1089, 16490, 2878, 20047, 14116, 1325, 1233, 2900, 1009, 22006, 1009, 2220, 1026, 1784, 1068, 1058, 14820, 1006, 1857, 1054, 2924, 16974, 1068, 7508, 1132, 1941, 1281, 17463, 28242, 9055, 1048, 1132, 3948, 1060, 2759, 4444, 3892, 2585, 2340, 12413, 1493, 2011, 1072, 2568, 1406, 1973, 2397, 85, 3474, 15390, 4189, 18, 12884, 1049, 12069, 1233, 1842, 1407, 91, 1377, 2605, 1006, 2759, 4597, 1048, 4537, 1006, 2916, 1009, 1782, 2744, 1009, 3504, 91, 3297, 16736, 2704, 2744, 1009, 9697, 15, 19198, 1005, 1325, 9485, 1043, 3235, 1005, 1734, 9134, 1068, 3871, 1026, 15068, 2276, 1620, 1160, 1837, 7333, 1068, 1511, 1857, 1693, 1977, 1930, 13236, 1026, 6840, 20, 1063, 5310, 1160, 1096, 11553, 1006, 5869, 20, 6126, 2653, 11261, 1322, 14546, 11058, 12897, 1005, 9839, 1006, 25948, 1209, 1054, 5314, 3245, 7516, 1049, 7751, 1505, 3018, 1132, 1030, 1316, 1095, 2314, 1837, 1493, 1557, 16381, 1322, 1006, 7064, 1049, 1941, 1095, 1803, 1206, 2951, 72, 1104, 1021, 4584, 27007, 1736, 8, 1463, 10892, 13003, 1009, 1224, 3548, 11763, 1028, 1367, 3567, 22502, 12155, 5344, 2909, 1026, 1853, 3479, 1068, 1668, 3407, 37, 4499, 1206, 11281, 1006, 3484, 3793, 73, 1793, 1573, 1068, 7508, 1026, 9550, 2873, 1252, 8, 1060, 5310, 20138, 1257, 1063, 12943, 15753, 57, 2334, 1026, 1853, 3479, 1068, 1668, 3407, 2909, 3793, 73, 1793, 24387, 1068, 7508, 1026, 9550, 2873, 1252, 1060, 5310, 2100, 1, 5344, 2909, 1044, 2991, 1009, 1094, 10510, 20239, 4777, 2584, 10510, 20239, 1096, 1511, 4327, 4166, 1206, 1919, 2637, 12647, 1322, 1044, 18488, 3159, 1206, 3513, 1048, 1857, 5588, 20, 1505, 3018, 1058, 4327, 1195, 1006, 1044, 9868, 1005, 1160, 23613, 1060, 9272, 1206, 1049, 15929, 1857, 7937, 5522, 1094, 10510, 20239, 6909, 1048, 1006, 9272, 1516, 12647, 1005, 1026, 3159, 1516, 19130, 20, 7496, 1058, 4327, 15317, 1044, 28156, 1048, 22306, 4456, 2745, 1857, 1693, 5522, 1094, 10510, 20239, 6909, 1048, 1026, 28156, 1160, 1516, 1009, 3593, 3450, 1005, 1857, 1160, 5179, 1461, 1006, 9918, 1, 22502, 12155, 7672, 5759, 1006, 15540, 9582, 3801, 37, 1257, 21567, 32, 2034, 15607, 23383, 6078, 9378, 1327, 4282, 2905, 1356, 20374, 1049, 2956, 3936, 1676, 1009, 5722, 8712, 1048, 1096, 13709, 1069, 1005, 3356, 1188, 1356, 5019, 1271, 15607, 6729, 5010, 1257, 2858, 2863, 6096, 3498, 3257, 11922, 1063, 4960, 1096, 12252, 1236, 1009, 1871, 7519, 8772, 37, 1257, 1257, 7736, 2287, 9605, 32, 1655, 19, 67, 1841, 20, 1655, 19, 67, 8102, 3320, 1063, 3484, 21449, 1160, 20982, 5232, 1006, 4960, 4661, 1322, 2306, 5759, 1006, 15540, 9582, 24066, 1, 3064, 1036, 1435, 11970, 4595, 2237, 26852, 7256, 1210, 1606, 2902, 1600, 85, 80, 8135, 1044, 4530, 1175, 5773, 2730, 9624, 7215, 1044, 1901, 17865, 3532, 5694, 1026, 5548, 1060, 2969, 1126, 1026, 1015, 1500, 7403, 2318, 5697, 25201, 77, 29821, 1159, 6680, 1049, 7433, 1030, 4622, 1330, 9041, 1973, 1026, 2671, 13630, 1257, 1257, 3064, 4672, 25500, 7256, 2376, 1606, 2902, 1632, 85, 80, 8135, 1048, 18439, 1044, 3129, 10745, 1054, 1044, 9624, 1048, 5687, 1837, 1044, 4183, 1195, 6738, 1159, 1026, 2017, 6680, 1049, 7433, 1030, 4622, 1330, 9041, 18090, 1026, 7256, 1067, 1500, 7403, 2695, 5697, 25201, 77, 29821, 1009, 2303, 1043, 1044, 11829, 3330, 1356, 2671, 1114, 9307, 20, 1, 4378, 1096, 1094, 3484, 10758, 1233, 2511, 4960, 1322, 1006, 3578, 5947, 8724, 1377, 4499, 1206, 1160, 37, 21567, 32, 1063, 4600, 24412, 1131, 1713, 1009, 9856, 24, 1072, 21382, 1009, 9856, 24, 1054, 10360, 3309, 14278, 2497, 1060, 4630, 15, 7023, 1043, 1026, 1745, 2060, 24412, 1131, 1905, 1114, 10556, 1009, 2487, 5206, 5984, 7460, 30991, 1435, 1006, 11061, 4866, 3336, 22502, 12155, 1026, 1048, 4312, 1006, 3781, 6451, 3630, 1187, 1734, 15753, 27452, 2237, 1160, 1096, 1094, 3484, 10758, 1068, 1006, 4960, 8701, 1048, 2521, 1006, 3781, 6451, 3630, 1187, 1734, 2100, 1063, 3484, 21449, 1657, 5879, 1322, 1044, 3366, 7347, 1890, 1006, 3578, 5947, 1005, 1160, 20982, 1124, 9331, 1184, 3322, 1016, 1365, 1006, 3578, 5947, 1005, 2089, 8178, 12316, 1257, 1972, 6679, 1233, 4960, 8701, 1048, 2521, 1006, 3781, 6451, 3630, 1187, 1734, 1406, 10395, 8316, 1124, 5625, 16323, 1060, 3578, 5947, 20, 3316, 1271, 3145, 9331, 1096, 1048, 1006, 3578, 5947, 1195, 9256, 1140, 2453, 1009, 1044, 3872, 6402, 1054, 1472, 1009, 1365, 2625, 15005, 20, 3423, 2668, 1006, 3578, 5947, 1195, 9256, 1140, 1322, 1006, 4380, 1060, 8061, 18677, 1048, 1195, 1094, 4380, 10936, 21061, 1486, 1005, 11864, 1048, 15622, 1058, 22945, 1837, 2937, 5010, 1063, 8323, 1049, 8209, 1318, 1195, 1305, 20085, 4837, 1043, 11112, 1009, 8471, 1009, 9935, 1005, 12108, 10931, 1569, 10034, 1213, 2729, 1060, 23071, 21893, 1006, 3578, 5947, 2569, 1044, 9278, 5802, 1114, 4263, 1005, 1114, 3568, 27973, 7439, 1006, 5376, 17706, 1294, 1646, 1048, 1058, 19907, 2100, 1, 11955, 1006, 24378, 4331, 1005, 9608, 2997, 4972, 1322, 1026, 1015, 6489, 1025, 73, 77, 1179, 1021, 1538, 4676, 1175, 8521, 1175, 1613, 89, 1175, 4286, 1129, 1175, 1607, 1165, 1421, 2206, 89, 1175, 3504, 75, 7011, 1175, 1172, 7808, 1175, 17992, 1009, 9407, 1175, 1720, 7012, 1175, 2269, 1009, 9407, 1175, 1607, 1165, 5895, 75, 7011, 1175, 13164, 6031, 32, 31920, 6713, 1151, 3585, 1175, 31920, 6713, 1151, 3585, 1538, 1025, 73, 77, 1179, 1021, 8754, 1175, 4546, 19, 10165, 2978, 1009, 2992, 1009, 14794, 1175, 88, 88, 88, 1009, 14794, 1175, 1096, 1044, 5485, 12484, 3467, 31506, 1264, 5474, 6471, 1159, 6680, 1009, 31975, 1114, 1641, 1009, 19975, 1678, 1257, 21567, 2083, 57, 6489, 22073, 1179, 1021, 1195, 1044, 12484, 4431, 1048, 5810, 1054, 2978, 1009, 2992, 1009, 2454, 3537, 2200, 9239, 1159, 31241, 2961, 1291, 1890, 1224, 3560, 1005, 2569, 1094, 4464, 1009, 6151, 1487, 7360, 1782, 13418, 5010, 22073, 1179, 1021, 2845, 1224, 3560, 12740, 1068, 2539, 5962, 1400, 1309, 1132, 8521, 8745, 1048, 1264, 9239, 1005, 1026, 2285, 1009, 5350, 1732, 1048, 1264, 4857, 1160, 1327, 29719, 1114, 5409, 1004, 3567, 2200, 1318, 1160, 2569, 4697, 3513, 8700, 1230, 1890, 1224, 24102, 22073, 1179, 1021, 1058, 6681, 6452, 1049, 3246, 3467, 1005, 5474, 6471, 1159, 1026, 6680, 1009, 31975, 1114, 19110, 1009, 1156, 4875, 28455, 19622, 20, 1063, 24378, 1160, 19067, 4697, 4734, 1322, 1456, 7882, 18910, 1890, 1224, 3560, 1009, 4530, 20, 5024, 1720, 7012, 1096, 22857, 6669, 22073, 1179, 3926, 1309, 1264, 1096, 13863, 3201, 1159, 7806, 20, 2200, 5810, 1114, 13723, 1309, 1026, 2386, 1009, 9407, 7347, 1160, 1096, 5534, 2270, 1, 1150, 55, 32, 3735, 1094, 11003, 1325, 2467, 6058, 1006, 3364, 1271, 1783, 6733, 1006, 2236, 1026, 1184, 6518, 2481, 1005, 1058, 29963, 1068, 1006, 21053, 2605, 1837, 2350, 1783, 1048, 4343, 4659, 1054, 1456, 7041, 1005, 1848, 8557, 1068, 1026, 3709, 1060, 11003, 20, 11595, 1783, 1826, 1277, 5084, 1006, 27188, 2435, 1178, 28306, 1118, 31935, 1206, 13873, 1009, 3114, 8598, 1118, 3907, 1068, 1006, 11796, 1009, 1419, 1006, 11003, 1009, 4236, 20, 2951, 11003, 8027, 1435, 1150, 1325, 1058, 5700, 1044, 1475, 1065, 7039, 1752, 1472, 1184, 20726, 4807, 1072, 4316, 9706, 1553, 1187, 2138, 6547, 1571, 1837, 19949, 26549, 1365, 3261, 1005, 29433, 2858, 8027, 3298, 1009, 11003, 5090, 1026, 4604, 24380, 1006, 6211, 1068, 1026, 3810, 6840, 17163, 21860, 2170, 1054 ]

[ 2430, 1396, 1273, 1009, 2960, 1029, 1166, 1005, 1049, 1025, 3395, 1069, 1060, 8058, 25703, 33, 1155, 1609, 2262, 26781, 1009, 18215, 1205, 1171, 4525, 1005, 4808, 3512, 1009, 5218, 1081, 4385, 5380, 1187, 1779, 0, 11238, 1187, 1594, 3025, 2286, 1578, 16988, 1026, 6680, 1060, 13010, 17018, 18, 7256, 30206, 6833, 1167, 5842, 1026, 17803, 1235, 2213, 1526, 1009, 16361, 5674, 1157, 5193, 1072, 1235, 2497, 19, 1183, 1586, 1495, 1233, 6841, 1049, 2671, 13751, 20, 2656, 18363, 1210, 91, 1130, 1213, 4241, 1060, 14599, 2162, 1885, 1140, 1054, 8819, 1009, 17747, 2394, 1195, 10053, 1072, 20030, 1445, 1337, 1009, 3815, 12075, 1009, 27964, 1346, 1054, 18215, 2228, 1728, 4419, 3506, 1846, 1006, 9100, 1005, 1195, 24328, 9126, 1072, 1445, 1337, 1028, 0, 1422, 1060, 2921, 4527, 1126, 10486, 7082, 1996, 1060, 17660, 1009, 2595, 1009, 3149, 1009, 17747, 2023, 3204, 1167, 2276, 7552, 1114, 11129, 1009, 5045, 4028, 1005, 1846, 1114, 12259, 1009, 6257, 1031, 14270, 15903, 1132, 8351, 1009, 5297, 2340, 7062, 3179, 1006, 1178, 28703, 1069, 3313, 71, 1435, 1060, 6862, 9048, 12186, 1068, 5392, 1049, 1057, 4693, 1005, 1054, 7298, 1009, 1224, 3897, 31874, 1751, 1060, 11229, 12883, 1157, 1233, 14769, 1199, 1846, 1009, 1178, 1286, 3395, 1140, 1006, 14741, 21034, 1054, 17747, 3006, 3126, 4107, 1415, 1049, 1057, 4693, 1118, 6866, 1686, 2874, 1034, 1009, 2595, 1009, 3149, 1009, 17747, 2443, 1160, 16203, 4108, 8894, 18, 1118, 2593, 1620, 1114, 4863, 2485, 1048, 2276, 1058, 20200, 1009, 2971, 1646, 2474, 2961, 6700, 5629, 23745, 1709, 1157, 1124, 12697, 1049, 6387, 1049, 1869, 1526, 4808, 7408, 3947, 1026, 7256, 11238, 1009, 5745, 9140, 11032, 1026, 4133, 1271, 6786, 1060, 5704, 1049, 25578, 2402, 1294, 8195, 1009, 9195, 1049, 15476, 1901, 1009, 17747, 2443, 1005, 17803, 1026, 25710, 1009, 16546, 1239, 1235, 2213, 1526, 1009, 26815, 5122, 1079, 1751, 1072, 6942, 1009, 28580, 13885, 1400, 1005, 1195, 19293, 1118, 1235, 4505, 3784, 1847, 1026, 5584, 1348, 1060, 4455, 1049, 6942, 1233, 1445, 3017, 1006, 1869, 3912, 4808, 10653, 3512, 1009, 25899, 20, 1138, 11742, 1009, 5745, 9140, 3475, 1726, 17853, 1060, 1106, 2469, 1128, 3608, 10113, 3936, 16046, 1005, 10831, 1119, 5701, 1005, 4333, 1119, 5701, 1005, 1082, 5489, 5674, 1157, 1927, 1026, 25710, 1726, 1569, 13463, 20, 3204, 1167, 1114, 4095, 1009, 3258, 1843, 1208, 1005, 1294, 29745, 1009, 12237, 1060, 2529, 1609, 1005, 1049, 29661, 3772, 1819, 1054, 1844, 1009, 2992, 1009, 1578, 3851, 1009, 5320, 1124, 6786, 1132, 11572, 9813, 18426, 20512, 1079, 1006, 25712, 5674, 8348, 1026, 25710, 1072, 5634, 1045, 7256, 1049, 11742, 1009, 5745, 3132, 2212, 1048, 2569, 1006, 17621, 1009, 6615, 1271, 6786, 1049, 6387, 1049, 16273, 1005, 10807, 1058, 5674, 1079, 1511, 1026, 7256, 31390, 1006, 3722, 28888, 1009, 26036, 1482, 9350, 1009, 1578, 3851, 5756, 13021, 27295, 1114, 3861, 1068, 3750, 1024, 1006, 1445, 1091, 1006, 30873, 1044, 17546, 7607, 1188, 1118, 2915, 74, 1856, 20, 14351, 1025, 1706, 1045, 1573, 1884, 1328, 4905, 1024, 1009, 4301, 4205, 1149, 1783, 4412, 1118, 1224, 24199, 9226, 1005, 1118, 1616, 1026, 1788, 1037, 1091, 1060, 6935, 3661, 21724, 1054, 1048, 1058, 4905, 1393, 16546, 10871, 1063, 2237, 13010, 1058, 7600, 1006, 1594, 3969, 8576, 6439, 7513, 1060, 10740, 1187, 14512, 1009, 1487, 1009, 3403, 1009, 1578, 3989, 3967, 1079, 18608, 4376, 1005, 11032, 8894, 1026, 25710, 1009, 16546, 2469, 1005, 4108, 1026, 17546, 2999, 29530, 1418, 1233, 10740, 1044, 2568, 1054, 1048, 1026, 2017, 1415, 1836, 20674, 2408, 1159, 4953, 1009, 2556, 18373, 1482, 3295, 1009, 3403, 1009, 1578, 4059, 2793, 7013, 92, 2647, 1511, 1026, 1869, 1526, 4808, 8094, 4064, 1006, 26036, 8531, 1157, 6256, 1048, 12401, 1648, 28679, 11713, 1100, 4850, 1009, 1261, 2281, 7013, 92, 2647, 22096, 1792, 1068, 13723, 6718, 1006, 27994, 23509, 7084, 3533, 1087, 2647, 1160, 11032, 1751, 1114, 7507, 1049, 17503, 5045, 30471, 18, 1571, 12990, 1233, 8506, 1049, 16273, 2915, 74, 1856, 18, 9177, 1623, 1005, 1026, 11742, 1009, 5745, 3132, 2212, 1309, 1026, 2671, 1009, 4808, 7408, 3947, 3503, 3958, 1048, 1264, 2979, 1060, 10248, 5823, 19396, 5193, 21807, 1043, 1132, 9734, 1005, 17733, 1792, 6256, 1132, 8738, 20, 6202, 1819, 18, 7720, 1184, 3232, 1048, 1026, 25710, 1836, 22737, 1054, 7083, 19396, 5909, 1964, 1026, 2568, 1005, 15299, 1026, 17733, 16540, 1138, 1449, 14630, 9208, 2276, 1072, 15337, 1169, 11888, 1065, 1678, 1048, 1058, 1160, 2257, 23103, 1751, 1114, 16974, 1009, 5045, 30471, 18, 2979, 1118, 7065, 1060, 23371, 1005, 1048, 1160, 3307, 1034, 2924, 9056, 17222, 4808, 3512, 3801, 1009, 15401, 4378, 8239, 26138, 6256, 1044, 2017, 17733, 2586, 9095, 9672, 1009, 1664, 1132, 1456, 8738, 1495, 1233, 3583, 1049, 7433, 11637, 1348, 1114, 3861, 1658, 19184, 1048, 1026, 7814, 9334, 13652, 1371, 1726, 5298, 1048, 5903, 2241, 1006, 17330, 1005, 1006, 14741, 1294, 9722, 4846, 3658, 1379, 1068, 1006, 11811, 2469, 1005, 6895, 1072, 2269, 1009, 2213, 1526, 1009, 3428, 1049, 7256, 11742, 1009, 5745, 9140, 33, 10512, 1024, 2865, 1043, 1264, 1463, 17819, 1049, 22184, 10835, 1006, 1799, 1009, 3353, 1009, 14663, 2084, 1005, 1726, 1569, 13463, 5543, 1114, 4095, 1009, 12237, 23609, 1006, 3404, 1009, 4510, 4075, 1054, 1048, 1195, 7050, 1069, 1072, 9361, 1009, 12114, 33, 1005, 1511, 1058, 7188, 1079, 1006, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 1082, 158, 14286, 1195, 24174, 1905, 1043, 1006, 9236, 1009, 9229, 3478, 1043, 1006, 3164, 1049, 1531, 1060, 4095, 20, 28331, 1379, 1318, 1213, 6942, 1009, 3953, 1164, 25517, 9512, 1005, 2220, 1026, 1557, 1048, 1026, 11238, 1009, 5745, 7817, 1017, 31390, 1026, 7433, 17018, 1890, 1026, 25014, 1049, 16273, 7062, 1235, 2213, 1526, 1009, 3428, 6592, 4808, 4763, 7802, 1009, 3032, 9038, 1026, 4133, 1054, 10650, 1324, 17803, 1026, 1235, 3092, 1726, 13463, 20, 5122, 1157, 1026, 11742, 1009, 5745, 9140, 1026, 4133, 1060, 21269, 8643, 1271, 4874, 1049, 4284, 1005, 1060, 1944, 6517, 1049, 18456, 2784, 1026, 25710, 6192, 1213, 1235, 5634, 1045, 6179, 21497, 20, 3126, 1318, 19293, 1357, 1224, 17472, 1072, 6942, 1271, 2487, 1728, 1063, 20183, 1079, 1026, 7256, 18, 1566, 13686, 1060, 11811, 2469, 1114, 16974, 1049, 19279, 6413, 2521, 1006, 4600, 2429, 5704, 1005, 1006, 1049, 25578, 11097, 7062, 1114, 4095, 1009, 21101, 23171, 2199, 1157, 1927, 1726, 13463, 8152, 7256, 1890, 1132, 27187, 1009, 6458, 1005, 1009, 26754, 4028, 1005, 24817, 5193, 1846, 1213, 3184, 1049, 7751, 28331, 1379, 1233, 3583, 1009, 15915, 1005, 1233, 4095, 1009, 2034, 1117, 1031, 2469, 1571, 3661, 1026, 8167, 1009, 10771, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 20, 29845, 1054, 2013, 21069, 3936, 2675, 1511, 1058, 3765, 1006, 20809, 1054, 3734, 1009, 2436, 1009, 14663, 2471, 1005, 1026, 13686, 1060, 20038, 3684, 3765, 4272, 1009, 9253, 1026, 7256, 1142, 2315, 1679, 14200, 27053, 1049, 7433, 1009, 4808, 7408, 3947, 1847, 1054, 9033, 24328, 1159, 13639, 1233, 12259, 1009, 2231, 30591, 16412, 1213, 6615, 1026, 3435, 1060, 20809, 18, 1005, 11408, 4882, 1006, 9643, 1371, 3772, 20518, 1140, 1006, 4600, 1060, 16010, 12671, 1195, 10053, 1072, 1445, 1337, 1009, 25636, 1689, 13331, 0, 1083, 1048, 1058, 3361, 3205, 6738, 11852, 1049, 5142, 0, 3421, 2424, 3320, 9387, 1097, 1312, 1124, 9277, 1400, 1195, 1044, 1187, 2523, 14512, 2464, 7887, 1157, 1026, 18608, 4376, 1233, 14741, 1005, 1233, 4939, 1593, 1411, 2962, 1412, 4202, 1006, 20012, 4338, 20, 1063, 13010, 1009, 1799, 1009, 3042, 1009, 1578, 4994, 16454, 1379, 1006, 10740, 18, 1005, 1054, 1578, 4943, 25309, 6618, 1371, 1026, 28004, 4052, 1474, 18, 1054, 1048, 16546, 1239, 1195, 4107, 6483, 1118, 6458, 13231, 13158, 5051, 1005, 7324, 1257, 5698, 1009, 4427, 1140, 1006, 17314, 1009, 14663, 2414, 1195, 6483, 4107, 1118, 25899, 20, 1482, 1578, 3949, 23192, 1026, 4004, 117, 2920, 15797, 1049, 1424, 3908, 2037, 1309, 2569, 1009, 19557, 1026, 1043, 11890, 1068, 9253, 1026, 13686, 1060, 20038, 1726, 17853, 1049, 3826, 2286, 1578, 8121, 24728, 1418, 1371, 1006, 10740, 1187, 1600, 2106, 1005, 4666, 4183, 5672, 1157, 1026, 13686, 1060, 20038, 1006, 1944, 6517, 19232, 1798, 2923, 1072, 4284, 1006, 20283, 1060, 1868, 2528, 1005, 1006, 20892, 1048, 1006, 17081, 9186, 28500, 1079, 1322, 15915, 33, 1006, 9056, 19346, 2276, 1006, 16546, 1239, 1026, 4818, 1060, 10562, 1249, 1407, 2669, 1009, 1848, 1213, 5317, 1060, 20892, 1005, 1271, 5298, 1060, 5704, 1049, 10519, 5672, 1312, 1356, 19527, 1009, 3584, 17959, 1005, 1072, 24106, 1233, 3861, 1195, 7568, 2408, 1356, 6721, 1060, 12487, 3236, 6916, 5023, 2767, 2286, 1578, 6259, 5200, 6452, 1006, 13010, 1060, 3512, 1060, 19038, 20, 9690, 1069, 6013, 0, 18, 10723, 0, 1005, 11736, 0, 17553, 5947, 1049, 8653, 1009, 9100, 5333, 1048, 23930, 18, 1043, 6828, 30858, 4650, 1009, 2224, 1009, 8819, 1009, 1578, 6259, 1006, 3295, 1009, 8819, 1009, 10666, 2443, 1009, 1675, 1009, 9499, 1009, 1578, 6259, 1006, 1984, 1009, 9195, 1009, 1578, 5871, 1005, 1009, 3939, 1009, 9864, 1009, 1578, 6507, 1006, 1083, 1009, 8819, 1009, 8139, 2023, 7729, 11664, 1069, 1356, 1831, 28731, 2586, 7256, 2915, 74, 1856, 18, 1009, 12228, 1132, 11572, 1009, 22006, 7441, 1060, 3861, 1005, 1009, 5593, 1026, 1043, 11890, 2357, 5473, 11572, 20, 10077, 1060, 4095, 1009, 18215, 1205, 1171, 1170, 1054, 3404, 1009, 3049, 1009, 10666, 2443, 6458, 28815, 2691, 5298, 1060, 23585, 1049, 16273, 19033, 1124, 4874, 1060, 3861, 1043, 1132, 1359, 20298, 8174, 8140, 21229, 1049, 18837, 1482, 1578, 5871, 1195, 12929, 1006, 11770, 30729, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 16500, 2577, 1079, 1026, 4133, 1187, 11572, 3267, 1005, 1026, 5333, 1009, 6615, 6451, 1495, 8139, 2081, 1901, 1054, 1048, 5200, 6452, 1006, 17660, 1060, 2960, 23830, 2762, 3027, 26827, 4379, 1048, 1006, 17660, 13979, 76, 1993, 1114, 31495, 9690, 1069, 2670, 1049, 9937, 1009, 4246, 6420, 1026, 25710, 20695, 1026, 13898, 1130, 1371, 1187, 11620, 1048, 4224, 2275, 24844, 91, 13534, 22972, 1118, 1614, 25550, 1054, 1782, 1009, 3353, 1009, 8139, 2081, 9048, 1006, 8116, 1072, 9361, 1009, 1025, 1301, 20306, 1009, 16361, 2496, 1713, 1118, 1044, 12419, 1009, 2475, 1009, 2436, 1009, 1578, 6795, 1049, 17546, 15783, 1060, 7388, 10871, 1505, 9209, 1049, 6276, 1009, 4808, 4763, 1205, 1009, 8258, 1054, 8819, 1009, 8139, 2414, 6738, 18801, 5476, 26781, 1060, 2573, 1060, 9056, 4808, 3204, 76, 5213, 1495, 1235, 20648, 4140, 1054, 9350, 1009, 1578, 6955, 1113, 21149, 2602, 1646, 1257, 3026, 6229, 4808, 4763, 1205, 1005, 1026, 1869, 1526, 4808, 26280, 1054, 9856, 2081, 3533, 6705, 1026, 13686, 1009, 2915, 74, 1856, 18, 18801, 5476, 26781, 1060, 4769, 28134, 1005, 1195, 24265, 3433, 1072, 5333, 20, 1776, 6276, 1009, 4808, 6656, 1156, 1009, 8258, 1054, 9856, 2084, 6738, 18801, 5476, 26781, 1060, 2573, 1060, 9056, 4808, 3512, 1073, 2275, 7669, 25132, 1356, 2790, 1795, 5201, 1060, 1570, 16436, 1009, 1387, 1320, 1126, 1005, 1668, 3479, 3684, 1195, 6440, 1054, 3295, 1009, 3268, 1009, 14663, 2534, 9095, 3332, 1188, 1213, 1009, 16546, 2469, 22189, 1054, 9350, 1009, 10666, 2567, 28331, 1379, 1233, 11710, 1112, 1009, 4243, 1842, 1009, 4590, 1005, 1726, 13525, 1463, 1128, 20602, 9169, 28549, 9304, 2691, 1673, 1400, 1005, 1054, 8941, 11914, 1114, 29473, 1049, 14604, 20286, 1603, 18498, 3772, 28375, 1657, 1094, 20711, 4808, 3512, 2605, 73, 10216, 3035, 28384, 3110, 1029, 6705, 1072, 1235, 26243, 2037, 1054, 1764, 20286, 1009, 4341, 1820, 1126, 1679, 23384, 1646, 1009, 10335, 1847, 11575, 1326, 1599, 1118, 9478, 1049, 4813, 1049, 1587, 4693, 2730, 26903, 1477, 1060, 4482, 1009, 1764, 20286, 1009, 4341, 1820, 1126, 1054, 6458, 17095, 1005, 1043, 8081, 29183, 75, 1348, 1060, 13829, 11251, 16680, 1060, 4769, 28134, 2422, 1049, 4037, 33, 10723, 0, 7762, 1009, 16546, 2469, 10396, 0, 7762, 1187, 1082, 3395, 1166, 1060, 13206, 1060, 12657, 14669, 7762, 1009, 1062, 1097, 1075, 1053, 1005, 2462, 1085, 3893, 1114, 9259, 33, 19018, 0, 7762, 1060, 19120, 1271, 4006, 1012, 1273, 1072, 5497, 1009, 26754, 1191, 33, 14811, 0, 7762, 1060, 19120, 1060, 6712, 1358, 1461, 1054, 11695, 1089, 1610, 33, 6339, 1065, 1304, 1114, 1082, 1517, 3253, 3936, 1017, 1009, 29938, 33, 21282, 20306, 1009, 8308, 7188, 1069, 33, 1424, 30543, 1005, 11770, 30729, 1060, 6320, 6990, 1009, 8464, 33, 1424, 30543, 1009, 3584, 5303, 3097, 1009, 4366, 16999, 1009, 7290, 7902, 1060, 5774, 20413, 1009, 5143, 1736, 1407, 1029, 33, 1009, 1764, 7408, 3947, 1009, 9832, 1074, 33, 1009, 1764, 15878, 14440, 1009, 1868, 1007, 3304, 1136, 1009, 25870, 17856, 33, 1009, 2242, 28122, 1009, 19038, 21747, 1140 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2430, 1396, 1273, 1009, 2960, 1029, 1166, 1005, 1049, 1025, 3395, 1069, 1060, 8058, 25703, 33, 1155, 1609, 2262, 26781, 1009, 18215, 1205, 1171, 4525, 1005, 4808, 3512, 1009, 5218, 1081, 4385, 5380, 1187, 1779, 0, 11238, 1187, 1594, 3025, 2286, 1578, 16988, 1026, 6680, 1060, 13010, 17018, 18, 7256, 30206, 6833, 1167, 5842, 1026, 17803, 1235, 2213, 1526, 1009, 16361, 5674, 1157, 5193, 1072, 1235, 2497, 19, 1183, 1586, 1495, 1233, 6841, 1049, 2671, 13751, 20, 2656, 18363, 1210, 91, 1130, 1213, 4241, 1060, 14599, 2162, 1885, 1140, 1054, 8819, 1009, 17747, 2394, 1195, 10053, 1072, 20030, 1445, 1337, 1009, 3815, 12075, 1009, 27964, 1346, 1054, 18215, 2228, 1728, 4419, 3506, 1846, 1006, 9100, 1005, 1195, 24328, 9126, 1072, 1445, 1337, 1028, 0, 1422, 1060, 2921, 4527, 1126, 10486, 7082, 1996, 1060, 17660, 1009, 2595, 1009, 3149, 1009, 17747, 2023, 3204, 1167, 2276, 7552, 1114, 11129, 1009, 5045, 4028, 1005, 1846, 1114, 12259, 1009, 6257, 1031, 14270, 15903, 1132, 8351, 1009, 5297, 2340, 7062, 3179, 1006, 1178, 28703, 1069, 3313, 71, 1435, 1060, 6862, 9048, 12186, 1068, 5392, 1049, 1057, 4693, 1005, 1054, 7298, 1009, 1224, 3897, 31874, 1751, 1060, 11229, 12883, 1157, 1233, 14769, 1199, 1846, 1009, 1178, 1286, 3395, 1140, 1006, 14741, 21034, 1054, 17747, 3006, 3126, 4107, 1415, 1049, 1057, 4693, 1118, 6866, 1686, 2874, 1034, 1009, 2595, 1009, 3149, 1009, 17747, 2443, 1160, 16203, 4108, 8894, 18, 1118, 2593, 1620, 1114, 4863, 2485, 1048, 2276, 1058, 20200, 1009, 2971, 1646, 2474, 2961, 6700, 5629, 23745, 1709, 1157, 1124, 12697, 1049, 6387, 1049, 1869, 1526, 4808, 7408, 3947, 1026, 7256, 11238, 1009, 5745, 9140, 11032, 1026, 4133, 1271, 6786, 1060, 5704, 1049, 25578, 2402, 1294, 8195, 1009, 9195, 1049, 15476, 1901, 1009, 17747, 2443, 1005, 17803, 1026, 25710, 1009, 16546, 1239, 1235, 2213, 1526, 1009, 26815, 5122, 1079, 1751, 1072, 6942, 1009, 28580, 13885, 1400, 1005, 1195, 19293, 1118, 1235, 4505, 3784, 1847, 1026, 5584, 1348, 1060, 4455, 1049, 6942, 1233, 1445, 3017, 1006, 1869, 3912, 4808, 10653, 3512, 1009, 25899, 20, 1138, 11742, 1009, 5745, 9140, 3475, 1726, 17853, 1060, 1106, 2469, 1128, 3608, 10113, 3936, 16046, 1005, 10831, 1119, 5701, 1005, 4333, 1119, 5701, 1005, 1082, 5489, 5674, 1157, 1927, 1026, 25710, 1726, 1569, 13463, 20, 3204, 1167, 1114, 4095, 1009, 3258, 1843, 1208, 1005, 1294, 29745, 1009, 12237, 1060, 2529, 1609, 1005, 1049, 29661, 3772, 1819, 1054, 1844, 1009, 2992, 1009, 1578, 3851, 1009, 5320, 1124, 6786, 1132, 11572, 9813, 18426, 20512, 1079, 1006, 25712, 5674, 8348, 1026, 25710, 1072, 5634, 1045, 7256, 1049, 11742, 1009, 5745, 3132, 2212, 1048, 2569, 1006, 17621, 1009, 6615, 1271, 6786, 1049, 6387, 1049, 16273, 1005, 10807, 1058, 5674, 1079, 1511, 1026, 7256, 31390, 1006, 3722, 28888, 1009, 26036, 1482, 9350, 1009, 1578, 3851, 5756, 13021, 27295, 1114, 3861, 1068, 3750, 1024, 1006, 1445, 1091, 1006, 30873, 1044, 17546, 7607, 1188, 1118, 2915, 74, 1856, 20, 14351, 1025, 1706, 1045, 1573, 1884, 1328, 4905, 1024, 1009, 4301, 4205, 1149, 1783, 4412, 1118, 1224, 24199, 9226, 1005, 1118, 1616, 1026, 1788, 1037, 1091, 1060, 6935, 3661, 21724, 1054, 1048, 1058, 4905, 1393, 16546, 10871, 1063, 2237, 13010, 1058, 7600, 1006, 1594, 3969, 8576, 6439, 7513, 1060, 10740, 1187, 14512, 1009, 1487, 1009, 3403, 1009, 1578, 3989, 3967, 1079, 18608, 4376, 1005, 11032, 8894, 1026, 25710, 1009, 16546, 2469, 1005, 4108, 1026, 17546, 2999, 29530, 1418, 1233, 10740, 1044, 2568, 1054, 1048, 1026, 2017, 1415, 1836, 20674, 2408, 1159, 4953, 1009, 2556, 18373, 1482, 3295, 1009, 3403, 1009, 1578, 4059, 2793, 7013, 92, 2647, 1511, 1026, 1869, 1526, 4808, 8094, 4064, 1006, 26036, 8531, 1157, 6256, 1048, 12401, 1648, 28679, 11713, 1100, 4850, 1009, 1261, 2281, 7013, 92, 2647, 22096, 1792, 1068, 13723, 6718, 1006, 27994, 23509, 7084, 3533, 1087, 2647, 1160, 11032, 1751, 1114, 7507, 1049, 17503, 5045, 30471, 18, 1571, 12990, 1233, 8506, 1049, 16273, 2915, 74, 1856, 18, 9177, 1623, 1005, 1026, 11742, 1009, 5745, 3132, 2212, 1309, 1026, 2671, 1009, 4808, 7408, 3947, 3503, 3958, 1048, 1264, 2979, 1060, 10248, 5823, 19396, 5193, 21807, 1043, 1132, 9734, 1005, 17733, 1792, 6256, 1132, 8738, 20, 6202, 1819, 18, 7720, 1184, 3232, 1048, 1026, 25710, 1836, 22737, 1054, 7083, 19396, 5909, 1964, 1026, 2568, 1005, 15299, 1026, 17733, 16540, 1138, 1449, 14630, 9208, 2276, 1072, 15337, 1169, 11888, 1065, 1678, 1048, 1058, 1160, 2257, 23103, 1751, 1114, 16974, 1009, 5045, 30471, 18, 2979, 1118, 7065, 1060, 23371, 1005, 1048, 1160, 3307, 1034, 2924, 9056, 17222, 4808, 3512, 3801, 1009, 15401, 4378, 8239, 26138, 6256, 1044, 2017, 17733, 2586, 9095, 9672, 1009, 1664, 1132, 1456, 8738, 1495, 1233, 3583, 1049, 7433, 11637, 1348, 1114, 3861, 1658, 19184, 1048, 1026, 7814, 9334, 13652, 1371, 1726, 5298, 1048, 5903, 2241, 1006, 17330, 1005, 1006, 14741, 1294, 9722, 4846, 3658, 1379, 1068, 1006, 11811, 2469, 1005, 6895, 1072, 2269, 1009, 2213, 1526, 1009, 3428, 1049, 7256, 11742, 1009, 5745, 9140, 33, 10512, 1024, 2865, 1043, 1264, 1463, 17819, 1049, 22184, 10835, 1006, 1799, 1009, 3353, 1009, 14663, 2084, 1005, 1726, 1569, 13463, 5543, 1114, 4095, 1009, 12237, 23609, 1006, 3404, 1009, 4510, 4075, 1054, 1048, 1195, 7050, 1069, 1072, 9361, 1009, 12114, 33, 1005, 1511, 1058, 7188, 1079, 1006, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 1082, 158, 14286, 1195, 24174, 1905, 1043, 1006, 9236, 1009, 9229, 3478, 1043, 1006, 3164, 1049, 1531, 1060, 4095, 20, 28331, 1379, 1318, 1213, 6942, 1009, 3953, 1164, 25517, 9512, 1005, 2220, 1026, 1557, 1048, 1026, 11238, 1009, 5745, 7817, 1017, 31390, 1026, 7433, 17018, 1890, 1026, 25014, 1049, 16273, 7062, 1235, 2213, 1526, 1009, 3428, 6592, 4808, 4763, 7802, 1009, 3032, 9038, 1026, 4133, 1054, 10650, 1324, 17803, 1026, 1235, 3092, 1726, 13463, 20, 5122, 1157, 1026, 11742, 1009, 5745, 9140, 1026, 4133, 1060, 21269, 8643, 1271, 4874, 1049, 4284, 1005, 1060, 1944, 6517, 1049, 18456, 2784, 1026, 25710, 6192, 1213, 1235, 5634, 1045, 6179, 21497, 20, 3126, 1318, 19293, 1357, 1224, 17472, 1072, 6942, 1271, 2487, 1728, 1063, 20183, 1079, 1026, 7256, 18, 1566, 13686, 1060, 11811, 2469, 1114, 16974, 1049, 19279, 6413, 2521, 1006, 4600, 2429, 5704, 1005, 1006, 1049, 25578, 11097, 7062, 1114, 4095, 1009, 21101, 23171, 2199, 1157, 1927, 1726, 13463, 8152, 7256, 1890, 1132, 27187, 1009, 6458, 1005, 1009, 26754, 4028, 1005, 24817, 5193, 1846, 1213, 3184, 1049, 7751, 28331, 1379, 1233, 3583, 1009, 15915, 1005, 1233, 4095, 1009, 2034, 1117, 1031, 2469, 1571, 3661, 1026, 8167, 1009, 10771, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 20, 29845, 1054, 2013, 21069, 3936, 2675, 1511, 1058, 3765, 1006, 20809, 1054, 3734, 1009, 2436, 1009, 14663, 2471, 1005, 1026, 13686, 1060, 20038, 3684, 3765, 4272, 1009, 9253, 1026, 7256, 1142, 2315, 1679, 14200, 27053, 1049, 7433, 1009, 4808, 7408, 3947, 1847, 1054, 9033, 24328, 1159, 13639, 1233, 12259, 1009, 2231, 30591, 16412, 1213, 6615, 1026, 3435, 1060, 20809, 18, 1005, 11408, 4882, 1006, 9643, 1371, 3772, 20518, 1140, 1006, 4600, 1060, 16010, 12671, 1195, 10053, 1072, 1445, 1337, 1009, 25636, 1689, 13331, 0, 1083, 1048, 1058, 3361, 3205, 6738, 11852, 1049, 5142, 0, 3421, 2424, 3320, 9387, 1097, 1312, 1124, 9277, 1400, 1195, 1044, 1187, 2523, 14512, 2464, 7887, 1157, 1026, 18608, 4376, 1233, 14741, 1005, 1233, 4939, 1593, 1411, 2962, 1412, 4202, 1006, 20012, 4338, 20, 1063, 13010, 1009, 1799, 1009, 3042, 1009, 1578, 4994, 16454, 1379, 1006, 10740, 18, 1005, 1054, 1578, 4943, 25309, 6618, 1371, 1026, 28004, 4052, 1474, 18, 1054, 1048, 16546, 1239, 1195, 4107, 6483, 1118, 6458, 13231, 13158, 5051, 1005, 7324, 1257, 5698, 1009, 4427, 1140, 1006, 17314, 1009, 14663, 2414, 1195, 6483, 4107, 1118, 25899, 20, 1482, 1578, 3949, 23192, 1026, 4004, 117, 2920, 15797, 1049, 1424, 3908, 2037, 1309, 2569, 1009, 19557, 1026, 1043, 11890, 1068, 9253, 1026, 13686, 1060, 20038, 1726, 17853, 1049, 3826, 2286, 1578, 8121, 24728, 1418, 1371, 1006, 10740, 1187, 1600, 2106, 1005, 4666, 4183, 5672, 1157, 1026, 13686, 1060, 20038, 1006, 1944, 6517, 19232, 1798, 2923, 1072, 4284, 1006, 20283, 1060, 1868, 2528, 1005, 1006, 20892, 1048, 1006, 17081, 9186, 28500, 1079, 1322, 15915, 33, 1006, 9056, 19346, 2276, 1006, 16546, 1239, 1026, 4818, 1060, 10562, 1249, 1407, 2669, 1009, 1848, 1213, 5317, 1060, 20892, 1005, 1271, 5298, 1060, 5704, 1049, 10519, 5672, 1312, 1356, 19527, 1009, 3584, 17959, 1005, 1072, 24106, 1233, 3861, 1195, 7568, 2408, 1356, 6721, 1060, 12487, 3236, 6916, 5023, 2767, 2286, 1578, 6259, 5200, 6452, 1006, 13010, 1060, 3512, 1060, 19038, 20, 9690, 1069, 6013, 0, 18, 10723, 0, 1005, 11736, 0, 17553, 5947, 1049, 8653, 1009, 9100, 5333, 1048, 23930, 18, 1043, 6828, 30858, 4650, 1009, 2224, 1009, 8819, 1009, 1578, 6259, 1006, 3295, 1009, 8819, 1009, 10666, 2443, 1009, 1675, 1009, 9499, 1009, 1578, 6259, 1006, 1984, 1009, 9195, 1009, 1578, 5871, 1005, 1009, 3939, 1009, 9864, 1009, 1578, 6507, 1006, 1083, 1009, 8819, 1009, 8139, 2023, 7729, 11664, 1069, 1356, 1831, 28731, 2586, 7256, 2915, 74, 1856, 18, 1009, 12228, 1132, 11572, 1009, 22006, 7441, 1060, 3861, 1005, 1009, 5593, 1026, 1043, 11890, 2357, 5473, 11572, 20, 10077, 1060, 4095, 1009, 18215, 1205, 1171, 1170, 1054, 3404, 1009, 3049, 1009, 10666, 2443, 6458, 28815, 2691, 5298, 1060, 23585, 1049, 16273, 19033, 1124, 4874, 1060, 3861, 1043, 1132, 1359, 20298, 8174, 8140, 21229, 1049, 18837, 1482, 1578, 5871, 1195, 12929, 1006, 11770, 30729, 1060, 6320, 6990, 1060, 13206, 1005, 2538, 2166, 1049, 2882, 2212, 2152, 12811, 1005, 20289, 16500, 2577, 1079, 1026, 4133, 1187, 11572, 3267, 1005, 1026, 5333, 1009, 6615, 6451, 1495, 8139, 2081, 1901, 1054, 1048, 5200, 6452, 1006, 17660, 1060, 2960, 23830, 2762, 3027, 26827, 4379, 1048, 1006, 17660, 13979, 76, 1993, 1114, 31495, 9690, 1069, 2670, 1049, 9937, 1009, 4246, 6420, 1026, 25710, 20695, 1026, 13898, 1130, 1371, 1187, 11620, 1048, 4224, 2275, 24844, 91, 13534, 22972, 1118, 1614, 25550, 1054, 1782, 1009, 3353, 1009, 8139, 2081, 9048, 1006, 8116, 1072, 9361, 1009, 1025, 1301, 20306, 1009, 16361, 2496, 1713, 1118, 1044, 12419, 1009, 2475, 1009, 2436, 1009, 1578, 6795, 1049, 17546, 15783, 1060, 7388, 10871, 1505, 9209, 1049, 6276, 1009, 4808, 4763, 1205, 1009, 8258, 1054, 8819, 1009, 8139, 2414, 6738, 18801, 5476, 26781, 1060, 2573, 1060, 9056, 4808, 3204, 76, 5213, 1495, 1235, 20648, 4140, 1054, 9350, 1009, 1578, 6955, 1113, 21149, 2602, 1646, 1257, 3026, 6229, 4808, 4763, 1205, 1005, 1026, 1869, 1526, 4808, 26280, 1054, 9856, 2081, 3533, 6705, 1026, 13686, 1009, 2915, 74, 1856, 18, 18801, 5476, 26781, 1060, 4769, 28134, 1005, 1195, 24265, 3433, 1072, 5333, 20, 1776, 6276, 1009, 4808, 6656, 1156, 1009, 8258, 1054, 9856, 2084, 6738, 18801, 5476, 26781, 1060, 2573, 1060, 9056, 4808, 3512, 1073, 2275, 7669, 25132, 1356, 2790, 1795, 5201, 1060, 1570, 16436, 1009, 1387, 1320, 1126, 1005, 1668, 3479, 3684, 1195, 6440, 1054, 3295, 1009, 3268, 1009, 14663, 2534, 9095, 3332, 1188, 1213, 1009, 16546, 2469, 22189, 1054, 9350, 1009, 10666, 2567, 28331, 1379, 1233, 11710, 1112, 1009, 4243, 1842, 1009, 4590, 1005, 1726, 13525, 1463, 1128, 20602, 9169, 28549, 9304, 2691, 1673, 1400, 1005, 1054, 8941, 11914, 1114, 29473, 1049, 14604, 20286, 1603, 18498, 3772, 28375, 1657, 1094, 20711, 4808, 3512, 2605, 73, 10216, 3035, 28384, 3110, 1029, 6705, 1072, 1235, 26243, 2037, 1054, 1764, 20286, 1009, 4341, 1820, 1126, 1679, 23384, 1646, 1009, 10335, 1847, 11575, 1326, 1599, 1118, 9478, 1049, 4813, 1049, 1587, 4693, 2730, 26903, 1477, 1060, 4482, 1009, 1764, 20286, 1009, 4341, 1820, 1126, 1054, 6458, 17095, 1005, 1043, 8081, 29183, 75, 1348, 1060, 13829, 11251, 16680, 1060, 4769, 28134, 2422, 1049, 4037, 33, 10723, 0, 7762, 1009, 16546, 2469, 10396, 0, 7762, 1187, 1082, 3395, 1166, 1060, 13206, 1060, 12657, 14669, 7762, 1009, 1062, 1097, 1075, 1053, 1005, 2462, 1085, 3893, 1114, 9259, 33, 19018, 0, 7762, 1060, 19120, 1271, 4006, 1012, 1273, 1072, 5497, 1009, 26754, 1191, 33, 14811, 0, 7762, 1060, 19120, 1060, 6712, 1358, 1461, 1054, 11695, 1089, 1610, 33, 6339, 1065, 1304, 1114, 1082, 1517, 3253, 3936, 1017, 1009, 29938, 33, 21282, 20306, 1009, 8308, 7188, 1069, 33, 1424, 30543, 1005, 11770, 30729, 1060, 6320, 6990, 1009, 8464, 33, 1424, 30543, 1009, 3584, 5303, 3097, 1009, 4366, 16999, 1009, 7290, 7902, 1060, 5774, 20413, 1009, 5143, 1736, 1407, 1029, 33, 1009, 1764, 7408, 3947, 1009, 9832, 1074, 33, 1009, 1764, 15878, 14440, 1009, 1868, 1007, 3304, 1136, 1009, 25870, 17856, 33, 1009, 2242, 28122, 1009, 19038, 21747, 1140 ]

[ 1560, 71, 4182, 1422, 1898, 3026, 1006, 3696, 1058, 9853, 3141, 22347, 1054, 2002, 1066, 3506, 1569, 3469, 2503, 3198, 1157, 1068, 6529, 1006, 16916, 3385, 7439, 1124, 17834, 1009, 1224, 3938, 6953, 1759, 86, 8099, 1253, 5171, 89, 1409, 6949, 13940, 3528, 1094, 1641, 2072, 23044, 3141, 22347, 4748, 1224, 31213, 3528, 1094, 16916, 2072, 9524, 1560, 71, 15707, 32, 9232, 1048, 3696, 1195, 25999, 4268, 1009, 1067, 30314, 1021, 11731, 30695, 4748, 1224, 31213, 7985, 1395, 1034, 1009, 1094, 16916, 2072, 19334, 1377, 1, 1505, 1048, 1044, 16711, 1631, 1096, 1853, 1049, 1048, 1094, 5773, 1009, 1033, 3787, 10141, 2550, 1009, 3813, 1009, 4586, 1160, 2449, 9447, 1206, 3408, 7531, 4322, 2268, 3002, 3823, 2088, 3328, 7963, 1322, 1124, 9331, 7055, 1365, 1044, 16711, 1631, 1005, 1094, 5773, 1009, 1033, 3787, 8000, 16711, 1631, 1096, 1853, 1049, 1048, 1094, 5773, 1009, 1033, 3787, 1068, 15807, 30814, 1124, 23132, 1054, 7331, 1206, 1734, 5850, 29244, 1009, 2596, 9279, 1005, 4445, 1845, 4953, 1536, 1685, 1005, 24882, 1049, 16711, 1631, 1298, 8236, 1006, 1821, 1107, 1043, 4805, 3722, 1005, 28283, 1026, 1048, 1096, 7048, 1213, 6180, 1043, 24445, 1184, 1249, 15230, 1206, 1184, 31848, 6135, 10572, 1969, 1554, 26533, 4278, 1054, 1048, 1299, 3135, 9467, 13278, 1206, 10572, 3473, 16269, 1044, 16711, 1631, 1298, 1178, 1094, 6808, 1184, 14995, 1005, 3135, 1049, 1048, 1094, 5773, 1009, 1033, 3787, 6135, 1082, 3333, 1024, 8948, 1206, 1734, 5850, 3010, 75, 2445, 19601, 16711, 3340, 1327, 24698, 10343, 1068, 12473, 1930, 1090, 3081, 1206, 8478, 8193, 8794, 1009, 2093, 1672, 14596, 1206, 26224, 1009, 8948, 7542, 2143, 6079, 1094, 5773, 1009, 1033, 3787, 1096, 1853, 1049, 1048, 1044, 16711, 1631, 1068, 15807, 1766, 1068, 23015, 1010, 1009, 9376, 1303, 1054, 19752, 8948, 1206, 9138, 5345, 2036, 23441, 1049, 2446, 1005, 4466, 1049, 1068, 23015, 1100, 1026, 2490, 1009, 1094, 5773, 1009, 1033, 3787, 1298, 2837, 1094, 2540, 1184, 15939, 1140, 1005, 11755, 1049, 1048, 1124, 23132, 6135, 1063, 19739, 1206, 1169, 1263, 1148, 6081, 1043, 1068, 23015, 18747, 10488, 1005, 1006, 14716, 1272, 1009, 1094, 5773, 1009, 1033, 3787, 10316, 1048, 1299, 7152, 4587, 6875, 1168, 11242, 1132, 1068, 23015, 1010, 1206, 3532, 71, 1124, 5767, 1305, 8751, 1339, 150, 17938, 6135, 5057, 1208, 1054, 8823, 7232, 1312, 1206, 19677, 1312, 1048, 28543, 1184, 10719, 1474, 1005, 3603, 1049, 1048, 1044, 16711, 1631, 1298, 2185, 2652, 6201, 3018, 2088, 4267, 1009, 1068, 23015, 1010, 6510, 1178, 2425, 3500, 24004, 1005, 1760, 3240, 1005, 1094, 5773, 1009, 1033, 3787, 1298, 9602, 3527, 1006, 5115, 9282, 675, 2, 1257, 11259, 1312, 3592, 1755, 84, 7198, 1159, 4327, 1298, 7556, 1428, 6808, 2071, 1054, 1094, 11319, 4087, 8057, 5342, 1009, 2071, 1044, 16711, 1631, 1206, 1094, 5773, 1009, 1033, 3787, 13886, 150, 1060, 8161, 1054, 4380, 19601, 6863, 1006, 4207, 9943, 1693, 7243, 1026, 4577, 1048, 1325, 1847, 2116, 1599, 1026, 2446, 1009, 8161, 1005, 1026, 3319, 1009, 10488, 3654, 5790, 3018, 1058, 1299, 8307, 19185, 1791, 19367, 1009, 19752, 1884, 1191, 2071, 1068, 23015, 1010, 1005, 1094, 5773, 1009, 1033, 3787, 1068, 1094, 2540, 1184, 1289, 5304, 2202, 1299, 8307, 10572, 1094, 4062, 2024, 1009, 10992, 1100, 1044, 16711, 1631, 1298, 1178, 1094, 4169, 1853, 17270, 6054, 1006, 5865, 8316, 1026, 4466, 1005, 1026, 5862, 1187, 5850, 1043, 1132, 2688, 1299, 1325, 7187, 18, 1680, 1159, 1235, 3266, 3319, 1009, 11323, 1005, 10525, 1043, 1752, 28744, 1377, 6201, 6781, 1006, 1853, 6808, 1068, 1026, 2011, 13886, 150, 1009, 2539, 6863, 1005, 1096, 2512, 9854, 1752, 4087, 18615, 1996, 1009, 5593, 1094, 3188, 3320, 1, 8949, 1044, 7566, 1049, 2859, 1049, 2511, 2859, 1009, 9746, 2034, 4601, 1060, 4149, 5858, 12859, 1235, 5512, 25601, 1114, 3595, 1049, 4819, 1072, 12060, 21953, 1685, 1072, 8184, 1233, 9342, 6313, 150, 1493, 1557, 1114, 4981, 20, 19052, 1318, 1124, 5795, 1009, 13098, 19381, 1005, 6161, 7236, 89, 12546, 10515, 77, 1157, 1054, 11759, 26334, 1986, 1006, 3808, 2239, 3276, 1055, 1049, 8552, 1060, 5507, 7991, 9205, 2745, 3592, 4601, 1155, 5165, 1708, 1327, 3322, 22271, 2691, 10152, 3701, 1074, 1072, 2293, 1009, 3030, 22452, 19762, 14597, 2643, 1026, 3282, 1009, 6944, 2459, 60, 12009, 1484, 1108, 1068, 4885, 1068, 9035, 6161, 7236, 89, 12546, 24305, 1569, 10817, 1054, 1044, 14686, 4736, 1053, 8309, 13252, 21656, 6161, 7236, 89, 12546, 1096, 12296, 1069, 15443, 1157, 1009, 10817, 1043, 5410, 1054, 11759, 26334, 1986, 1006, 3595, 1049, 4819, 18934, 3958, 4885, 32, 1006, 8569, 1049, 31290, 7236, 89, 12546, 21712, 1044, 7868, 2483, 27455, 27083, 7116, 1349, 1511, 1044, 5399, 11272, 1044, 22678, 1035, 1114, 11719, 4271, 1336, 1497, 15, 10796, 1157, 32, 1026, 4530, 1049, 31290, 7374, 12098, 1009, 1094, 17389, 2097, 1836, 1114, 14514, 1054, 11759, 26334, 4964, 1310, 12155, 6669, 3844, 4213, 3356, 75, 1235, 15504, 1009, 2759, 1060, 1641, 19381, 9921, 3899, 1114, 14514, 3690, 17033, 29017, 14642, 1138, 12069, 2966, 13098, 19381, 1005, 6161, 18, 1284, 75, 1068, 1094, 4137, 1072, 16346, 51, 10721, 3690, 83, 3951, 32, 1138, 2191, 21681, 2961, 1291, 1060, 5507, 1284, 71, 1068, 5795, 1072, 6387, 1060, 14514, 1538, 61, 1095, 14216, 13, 7205, 1327, 15542, 1060, 3595, 1049, 25290, 1043, 19488, 1049, 3246, 1846, 1009, 8236, 1235, 9678, 1009, 1650, 1089, 27594, 1048, 2124, 1131, 7236, 89, 12546, 1005, 19381, 2276, 37, 2814, 1094, 20688, 20087, 1091, 1009, 2434, 1845, 1869, 2192, 3513, 1009, 1163, 7262, 1560, 75, 1114, 7182, 1049, 2243, 1291, 1072, 16170, 1060, 5310, 3375, 3173, 1054, 14694, 13730, 1054, 14835, 1044, 5399, 2549, 6688, 1026, 1048, 3449, 3375, 78, 2961, 1165, 1692, 1114, 30958, 1009, 7236, 89, 12546, 2338, 2124, 42, 3834, 4731, 1566, 16240, 1054, 11759, 26334, 25905, 24459, 1043, 1132, 5410, 1996, 1009, 1857, 8776, 1095, 24137, 1213, 18004, 8495, 1005, 1213, 31290, 1068, 7534, 1009, 4283, 5786, 18738, 15811, 1096, 2124, 90, 1320, 1157, 3224, 1187, 6842, 1060, 5507, 4964, 2124, 53, 12800, 23311, 7236, 89, 12546, 1325, 22482, 1044, 22678, 1035, 1005, 1044, 7868, 2483, 1072, 5528, 2477, 3097, 4200, 3899, 1305, 7931, 1072, 1784, 19585, 3560, 25763, 2192, 4927, 1157, 13182, 1114, 25141, 14057, 2124, 6188, 2450, 1053, 22554, 9964, 1986, 1026, 16354, 9291, 1187, 2475, 25, 4686, 1009, 14984, 18994, 96, 1802, 5182, 1007, 1006, 17140, 2122, 4744, 1325, 1054, 2935, 1837, 1184, 1009, 10490, 19201, 53, 8795, 1060, 4149, 3880, 6618, 2289, 30999, 1292, 2024, 32, 7236, 89, 12546, 6706, 1094, 17389, 1043, 1044, 14742, 27236, 1126, 1043, 13098, 19381, 6718, 1118, 1264, 1094, 17389, 1118, 2290, 20854, 5369, 1819, 1044, 7842, 19, 14113, 32, 1026, 15545, 1049, 2878, 20647, 1900, 1324, 5879, 1043, 1235, 15504, 1009, 2759, 1060, 5507, 1114, 14514, 3690, 4080, 32, 1026, 15545, 1060, 5507, 5747, 2593, 1058, 7383, 1435, 1114, 11950, 51, 1078, 5709, 1005, 14210, 32, 13098, 1005, 6161, 6470, 1751, 1060, 22256, 1526, 3421, 10299, 1060, 3595, 1049, 4819, 1060, 5507, 1009, 9400, 1207, 1085, 77, 1617, 8776, 1623, 94, 11922, 13098, 1043, 1224, 21701, 11559, 5209, 3351, 7698, 4197, 42, 1045, 3626, 32, 19381, 3449, 2593, 6944, 1077, 4752, 1070, 1396, 1435, 3224, 32, 13098, 5747, 2593, 1058, 7383, 1435, 1493, 10796, 1157, 1114, 6392, 1060, 14514, 1072, 2497, 1187, 4620, 1009, 30624, 1611, 1012, 2940, 32, 1026, 2191, 21681, 2961, 1291, 1049, 31290, 1043, 5410, 1060, 6392, 1054, 11759, 31868, 30624, 4964, 1310, 12155, 6161, 7464, 1009, 4384, 1592, 1114, 6392, 1060, 14514, 1072, 16346, 51, 10322, 6227, 9718, 25027, 21021, 1068, 24247, 6161, 1114, 14514, 1060, 6392, 1890, 1235, 10063, 1114, 3836, 1845, 2759, 1060, 5507, 1325, 11344, 25246, 1157, 1463, 3880, 23024, 12305, 4917, 1118, 1569, 20778, 17810, 2445, 3068, 3595, 1049, 4819, 4752, 3198, 1024, 2124, 3885, 7800, 2315, 1048, 1857, 3586, 2979, 3960, 8552, 1996, 1009, 2224, 5908, 5588, 20, 28048, 9239, 1235, 2277, 2666, 1054, 2417, 5790, 1048, 1857, 1160, 7937, 1261, 16225, 1044, 28163, 1364, 2655, 2364, 12290, 14569, 2199, 1377, 8361, 24382, 3005, 2289, 1616, 1381, 1751, 1009, 1044, 4367, 14617, 1048, 1989, 2417, 1009, 6301, 4731, 1826, 14822, 1006, 2637, 2127, 7991, 1627, 1857, 1160, 1327, 7205, 31308, 1027, 4031, 22461, 2653, 1187, 2688, 1327, 3010, 19474, 1166, 1005, 3010, 1277, 5316, 1229, 1160, 9068, 1739, 7813, 1905, 1049, 1048, 1357, 3808, 8404, 1009, 5795, 1009, 7066, 1728, 2202, 2124, 29913, 2315, 10218, 1048, 3530, 4731, 1060, 5507, 6639, 3189, 1463, 3117, 1016, 1049, 4819, 1206, 3375, 1046, 13476, 15445, 3360, 2950, 1857, 1294, 1919, 3982, 2276, 1857, 6510, 2080, 3144, 1117, 1093, 14936, 1009, 15617, 1593, 5770, 6346, 1078, 1107, 1009, 3724, 1802, 39, 77, 2361, 1009, 6796, 14062, 1054, 1094, 18748, 1049, 2790, 1009, 2979, 1009, 1094, 2318, 1660, 1009, 12163, 1048, 4454, 1094, 3897, 1043, 1044, 13363, 5503, 17885, 61, 13226, 12546, 1195, 7552, 1005, 1823, 2641, 2647, 1309, 1160, 13968, 14644, 3172, 3661, 1094, 30162, 1118, 24264, 15179, 3702, 1044, 4361, 29692, 18144, 7765, 1048, 1264, 10083, 1159, 3721, 18845, 4043, 1024, 1370, 1009, 4127, 7236, 89, 12546, 3661, 1044, 12855, 9674, 1118, 3689, 29445, 1130, 1054, 1044, 13333, 1009, 21277, 79, 2301, 1044, 20082, 1049, 2478, 1189, 1916, 53, 2191, 21681, 2961, 3382, 1080, 159, 72, 1599, 8413, 20573, 1184, 3232, 11001, 11780, 1009, 3977, 7236, 89, 12546, 1195, 10657, 1069, 1357, 16157, 1846, 1009, 1030, 5146, 2495, 1322, 14234, 1890, 1044, 2666, 1060, 6254, 1187, 15243, 1049, 31290, 6301, 22749, 1060, 16157, 1048, 1132, 4731, 11027, 1160, 1693, 22660, 1054, 3538, 9553, 1569, 8093, 1867, 2223, 50, 1291, 1009, 16383, 11001, 11780, 1009, 7218, 7514, 1009, 1044, 22960, 3461, 1009, 4283, 5786, 18738, 1043, 1094, 17499, 1154, 1118, 12511, 1072, 31212, 1631, 3282, 6346, 75, 3055, 1009, 7057, 9846, 1094, 2750, 17499, 1154, 1118, 12511, 1072, 12964, 1489, 1024, 1049, 1592, 5768, 4043, 71, 1047, 1009, 3977, 11584, 1027, 1072, 25561, 25944, 1224, 27234, 2170, 6568, 13990, 1264, 25548, 1009, 8770, 1411, 1026, 1048, 1026, 9905, 2979, 1118, 1184, 2848, 16787, 24318, 1370, 1009, 4119, 5296, 2758, 1069, 4454, 1026, 31212, 1631, 1026, 3708, 6388, 1044, 2666, 1060, 6254, 1187, 15243, 1005, 2156, 5465, 21910, 1060, 3595, 1049, 4819, 4043, 71, 1047, 1009, 4119, 2521, 1094, 13518, 1068, 8546, 1044, 1155, 4402, 2509, 1072, 31212, 1631, 3282, 1005, 7035, 1791, 22960, 8815, 1060, 5507, 4043, 1024, 1370, 1009, 4152, 1134, 1485, 1154, 1049, 7603, 1054, 1235, 5768, 15053, 1026, 11892, 1079, 1118, 4234, 28666, 61, 13272, 1364, 32, 3316, 14220, 5879, 1072, 11456, 1009, 6161, 2097, 1264, 7464, 1009, 1235, 1557, 1054, 14297, 8495, 1986, 1006, 1009, 11502, 1060, 3595, 1049, 4819, 3375, 1182, 2885, 1005, 26809, 32, 1026, 15545, 1060, 5507, 1114, 14514, 1072, 16346, 51, 10322, 6346, 1425, 30044, 6161, 11331, 71, 1044, 7939, 1114, 14514, 1080, 7721, 1075, 1107, 1148, 1114, 3349, 1009, 2156, 3680, 4792, 1580, 1009, 1080, 3434, 1626, 79, 1845, 90, 7075, 1009, 1944, 3161, 1160, 1693, 24382, 3530, 1338, 19887, 1009, 1834, 1005, 1857, 1318, 1160, 3634, 1556, 1189, 150, 8754, 1554, 47, 5455, 2124, 9433, 1837, 1657, 1044, 1901, 1048, 1026, 12114, 1060, 13723, 22857, 11308, 1439, 10214, 4979, 20, 61, 13226, 12546, 1516, 1044, 1150, 3185, 1147, 1009, 3161, 5178, 8, 1005, 1495, 6895, 6909, 1616, 2338, 2191, 21681, 2961, 1291, 1049, 31290, 3012, 10952, 159, 3527, 1159, 6043, 3320, 1534, 2124, 2584, 5095, 1679, 1456, 28762, 6082, 1761, 12079, 1009, 1048, 7236, 89, 12546, 1096, 1044, 11091, 12067, 85, 2457, 7585, 3659, 18436, 1130, 1054, 23865, 1005, 15443, 1024, 1159, 1044, 21500, 1160, 1096, 1159, 6608, 1036, 29130, 1989, 12554, 4752, 10577, 2124, 18479, 10777, 7236, 89, 1208, 3694, 1048, 6698, 2916, 1009, 18469, 1487, 16112, 1118, 9269, 16068, 1006, 1594, 8889, 1802, 61, 4189, 1870, 1235, 11237, 1072, 1594, 8889, 1672, 1048, 1516, 1044, 1150, 5708, 1221, 8, 1511, 1264, 1516, 20, 5552, 4137, 15443, 1157, 1054, 1094, 3696, 1054, 26765, 13, 43, 59, 2124, 1491, 1095, 1418, 1044, 3481, 6301, 4731, 9518, 1040, 5685, 6261, 1160, 3100, 15443, 1526, 15205, 1973, 1264, 3690, 1459, 3092, 1049, 1594, 8889, 3424, 623, 44, 1029, 1089, 1043, 1026, 6680, 1005, 1264, 1323, 9285, 1026, 16027, 20, 1097, 18325, 13922, 1212, 7529, 1616, 1006, 1264, 1005, 3230, 9359, 1040, 1554, 7281, 1323, 10845, 28831, 11478, 3390, 1005, 12720, 6622, 1006, 11249, 1538, 3885, 1611, 89, 1295, 2731, 1463, 3229, 1048, 1058, 19907, 1233, 4744, 1060, 14569, 11389, 1049, 1594, 8889, 1672, 1264, 1195, 3038, 5831, 1114, 9771, 3611, 3992, 1679, 26020, 18558, 11348, 53, 1048, 2381, 1508, 5369, 6792, 5254, 1538, 77, 1408, 1157, 13, 3125 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1560, 71, 4182, 1422, 1898, 3026, 1006, 3696, 1058, 9853, 3141, 22347, 1054, 2002, 1066, 3506, 1569, 3469, 2503, 3198, 1157, 1068, 6529, 1006, 16916, 3385, 7439, 1124, 17834, 1009, 1224, 3938, 6953, 1759, 86, 8099, 1253, 5171, 89, 1409, 6949, 13940, 3528, 1094, 1641, 2072, 23044, 3141, 22347, 4748, 1224, 31213, 3528, 1094, 16916, 2072, 9524, 1560, 71, 15707, 32, 9232, 1048, 3696, 1195, 25999, 4268, 1009, 1067, 30314, 1021, 11731, 30695, 4748, 1224, 31213, 7985, 1395, 1034, 1009, 1094, 16916, 2072, 19334, 1377, 1, 1505, 1048, 1044, 16711, 1631, 1096, 1853, 1049, 1048, 1094, 5773, 1009, 1033, 3787, 10141, 2550, 1009, 3813, 1009, 4586, 1160, 2449, 9447, 1206, 3408, 7531, 4322, 2268, 3002, 3823, 2088, 3328, 7963, 1322, 1124, 9331, 7055, 1365, 1044, 16711, 1631, 1005, 1094, 5773, 1009, 1033, 3787, 8000, 16711, 1631, 1096, 1853, 1049, 1048, 1094, 5773, 1009, 1033, 3787, 1068, 15807, 30814, 1124, 23132, 1054, 7331, 1206, 1734, 5850, 29244, 1009, 2596, 9279, 1005, 4445, 1845, 4953, 1536, 1685, 1005, 24882, 1049, 16711, 1631, 1298, 8236, 1006, 1821, 1107, 1043, 4805, 3722, 1005, 28283, 1026, 1048, 1096, 7048, 1213, 6180, 1043, 24445, 1184, 1249, 15230, 1206, 1184, 31848, 6135, 10572, 1969, 1554, 26533, 4278, 1054, 1048, 1299, 3135, 9467, 13278, 1206, 10572, 3473, 16269, 1044, 16711, 1631, 1298, 1178, 1094, 6808, 1184, 14995, 1005, 3135, 1049, 1048, 1094, 5773, 1009, 1033, 3787, 6135, 1082, 3333, 1024, 8948, 1206, 1734, 5850, 3010, 75, 2445, 19601, 16711, 3340, 1327, 24698, 10343, 1068, 12473, 1930, 1090, 3081, 1206, 8478, 8193, 8794, 1009, 2093, 1672, 14596, 1206, 26224, 1009, 8948, 7542, 2143, 6079, 1094, 5773, 1009, 1033, 3787, 1096, 1853, 1049, 1048, 1044, 16711, 1631, 1068, 15807, 1766, 1068, 23015, 1010, 1009, 9376, 1303, 1054, 19752, 8948, 1206, 9138, 5345, 2036, 23441, 1049, 2446, 1005, 4466, 1049, 1068, 23015, 1100, 1026, 2490, 1009, 1094, 5773, 1009, 1033, 3787, 1298, 2837, 1094, 2540, 1184, 15939, 1140, 1005, 11755, 1049, 1048, 1124, 23132, 6135, 1063, 19739, 1206, 1169, 1263, 1148, 6081, 1043, 1068, 23015, 18747, 10488, 1005, 1006, 14716, 1272, 1009, 1094, 5773, 1009, 1033, 3787, 10316, 1048, 1299, 7152, 4587, 6875, 1168, 11242, 1132, 1068, 23015, 1010, 1206, 3532, 71, 1124, 5767, 1305, 8751, 1339, 150, 17938, 6135, 5057, 1208, 1054, 8823, 7232, 1312, 1206, 19677, 1312, 1048, 28543, 1184, 10719, 1474, 1005, 3603, 1049, 1048, 1044, 16711, 1631, 1298, 2185, 2652, 6201, 3018, 2088, 4267, 1009, 1068, 23015, 1010, 6510, 1178, 2425, 3500, 24004, 1005, 1760, 3240, 1005, 1094, 5773, 1009, 1033, 3787, 1298, 9602, 3527, 1006, 5115, 9282, 675, 2, 1257, 11259, 1312, 3592, 1755, 84, 7198, 1159, 4327, 1298, 7556, 1428, 6808, 2071, 1054, 1094, 11319, 4087, 8057, 5342, 1009, 2071, 1044, 16711, 1631, 1206, 1094, 5773, 1009, 1033, 3787, 13886, 150, 1060, 8161, 1054, 4380, 19601, 6863, 1006, 4207, 9943, 1693, 7243, 1026, 4577, 1048, 1325, 1847, 2116, 1599, 1026, 2446, 1009, 8161, 1005, 1026, 3319, 1009, 10488, 3654, 5790, 3018, 1058, 1299, 8307, 19185, 1791, 19367, 1009, 19752, 1884, 1191, 2071, 1068, 23015, 1010, 1005, 1094, 5773, 1009, 1033, 3787, 1068, 1094, 2540, 1184, 1289, 5304, 2202, 1299, 8307, 10572, 1094, 4062, 2024, 1009, 10992, 1100, 1044, 16711, 1631, 1298, 1178, 1094, 4169, 1853, 17270, 6054, 1006, 5865, 8316, 1026, 4466, 1005, 1026, 5862, 1187, 5850, 1043, 1132, 2688, 1299, 1325, 7187, 18, 1680, 1159, 1235, 3266, 3319, 1009, 11323, 1005, 10525, 1043, 1752, 28744, 1377, 6201, 6781, 1006, 1853, 6808, 1068, 1026, 2011, 13886, 150, 1009, 2539, 6863, 1005, 1096, 2512, 9854, 1752, 4087, 18615, 1996, 1009, 5593, 1094, 3188, 3320, 1, 8949, 1044, 7566, 1049, 2859, 1049, 2511, 2859, 1009, 9746, 2034, 4601, 1060, 4149, 5858, 12859, 1235, 5512, 25601, 1114, 3595, 1049, 4819, 1072, 12060, 21953, 1685, 1072, 8184, 1233, 9342, 6313, 150, 1493, 1557, 1114, 4981, 20, 19052, 1318, 1124, 5795, 1009, 13098, 19381, 1005, 6161, 7236, 89, 12546, 10515, 77, 1157, 1054, 11759, 26334, 1986, 1006, 3808, 2239, 3276, 1055, 1049, 8552, 1060, 5507, 7991, 9205, 2745, 3592, 4601, 1155, 5165, 1708, 1327, 3322, 22271, 2691, 10152, 3701, 1074, 1072, 2293, 1009, 3030, 22452, 19762, 14597, 2643, 1026, 3282, 1009, 6944, 2459, 60, 12009, 1484, 1108, 1068, 4885, 1068, 9035, 6161, 7236, 89, 12546, 24305, 1569, 10817, 1054, 1044, 14686, 4736, 1053, 8309, 13252, 21656, 6161, 7236, 89, 12546, 1096, 12296, 1069, 15443, 1157, 1009, 10817, 1043, 5410, 1054, 11759, 26334, 1986, 1006, 3595, 1049, 4819, 18934, 3958, 4885, 32, 1006, 8569, 1049, 31290, 7236, 89, 12546, 21712, 1044, 7868, 2483, 27455, 27083, 7116, 1349, 1511, 1044, 5399, 11272, 1044, 22678, 1035, 1114, 11719, 4271, 1336, 1497, 15, 10796, 1157, 32, 1026, 4530, 1049, 31290, 7374, 12098, 1009, 1094, 17389, 2097, 1836, 1114, 14514, 1054, 11759, 26334, 4964, 1310, 12155, 6669, 3844, 4213, 3356, 75, 1235, 15504, 1009, 2759, 1060, 1641, 19381, 9921, 3899, 1114, 14514, 3690, 17033, 29017, 14642, 1138, 12069, 2966, 13098, 19381, 1005, 6161, 18, 1284, 75, 1068, 1094, 4137, 1072, 16346, 51, 10721, 3690, 83, 3951, 32, 1138, 2191, 21681, 2961, 1291, 1060, 5507, 1284, 71, 1068, 5795, 1072, 6387, 1060, 14514, 1538, 61, 1095, 14216, 13, 7205, 1327, 15542, 1060, 3595, 1049, 25290, 1043, 19488, 1049, 3246, 1846, 1009, 8236, 1235, 9678, 1009, 1650, 1089, 27594, 1048, 2124, 1131, 7236, 89, 12546, 1005, 19381, 2276, 37, 2814, 1094, 20688, 20087, 1091, 1009, 2434, 1845, 1869, 2192, 3513, 1009, 1163, 7262, 1560, 75, 1114, 7182, 1049, 2243, 1291, 1072, 16170, 1060, 5310, 3375, 3173, 1054, 14694, 13730, 1054, 14835, 1044, 5399, 2549, 6688, 1026, 1048, 3449, 3375, 78, 2961, 1165, 1692, 1114, 30958, 1009, 7236, 89, 12546, 2338, 2124, 42, 3834, 4731, 1566, 16240, 1054, 11759, 26334, 25905, 24459, 1043, 1132, 5410, 1996, 1009, 1857, 8776, 1095, 24137, 1213, 18004, 8495, 1005, 1213, 31290, 1068, 7534, 1009, 4283, 5786, 18738, 15811, 1096, 2124, 90, 1320, 1157, 3224, 1187, 6842, 1060, 5507, 4964, 2124, 53, 12800, 23311, 7236, 89, 12546, 1325, 22482, 1044, 22678, 1035, 1005, 1044, 7868, 2483, 1072, 5528, 2477, 3097, 4200, 3899, 1305, 7931, 1072, 1784, 19585, 3560, 25763, 2192, 4927, 1157, 13182, 1114, 25141, 14057, 2124, 6188, 2450, 1053, 22554, 9964, 1986, 1026, 16354, 9291, 1187, 2475, 25, 4686, 1009, 14984, 18994, 96, 1802, 5182, 1007, 1006, 17140, 2122, 4744, 1325, 1054, 2935, 1837, 1184, 1009, 10490, 19201, 53, 8795, 1060, 4149, 3880, 6618, 2289, 30999, 1292, 2024, 32, 7236, 89, 12546, 6706, 1094, 17389, 1043, 1044, 14742, 27236, 1126, 1043, 13098, 19381, 6718, 1118, 1264, 1094, 17389, 1118, 2290, 20854, 5369, 1819, 1044, 7842, 19, 14113, 32, 1026, 15545, 1049, 2878, 20647, 1900, 1324, 5879, 1043, 1235, 15504, 1009, 2759, 1060, 5507, 1114, 14514, 3690, 4080, 32, 1026, 15545, 1060, 5507, 5747, 2593, 1058, 7383, 1435, 1114, 11950, 51, 1078, 5709, 1005, 14210, 32, 13098, 1005, 6161, 6470, 1751, 1060, 22256, 1526, 3421, 10299, 1060, 3595, 1049, 4819, 1060, 5507, 1009, 9400, 1207, 1085, 77, 1617, 8776, 1623, 94, 11922, 13098, 1043, 1224, 21701, 11559, 5209, 3351, 7698, 4197, 42, 1045, 3626, 32, 19381, 3449, 2593, 6944, 1077, 4752, 1070, 1396, 1435, 3224, 32, 13098, 5747, 2593, 1058, 7383, 1435, 1493, 10796, 1157, 1114, 6392, 1060, 14514, 1072, 2497, 1187, 4620, 1009, 30624, 1611, 1012, 2940, 32, 1026, 2191, 21681, 2961, 1291, 1049, 31290, 1043, 5410, 1060, 6392, 1054, 11759, 31868, 30624, 4964, 1310, 12155, 6161, 7464, 1009, 4384, 1592, 1114, 6392, 1060, 14514, 1072, 16346, 51, 10322, 6227, 9718, 25027, 21021, 1068, 24247, 6161, 1114, 14514, 1060, 6392, 1890, 1235, 10063, 1114, 3836, 1845, 2759, 1060, 5507, 1325, 11344, 25246, 1157, 1463, 3880, 23024, 12305, 4917, 1118, 1569, 20778, 17810, 2445, 3068, 3595, 1049, 4819, 4752, 3198, 1024, 2124, 3885, 7800, 2315, 1048, 1857, 3586, 2979, 3960, 8552, 1996, 1009, 2224, 5908, 5588, 20, 28048, 9239, 1235, 2277, 2666, 1054, 2417, 5790, 1048, 1857, 1160, 7937, 1261, 16225, 1044, 28163, 1364, 2655, 2364, 12290, 14569, 2199, 1377, 8361, 24382, 3005, 2289, 1616, 1381, 1751, 1009, 1044, 4367, 14617, 1048, 1989, 2417, 1009, 6301, 4731, 1826, 14822, 1006, 2637, 2127, 7991, 1627, 1857, 1160, 1327, 7205, 31308, 1027, 4031, 22461, 2653, 1187, 2688, 1327, 3010, 19474, 1166, 1005, 3010, 1277, 5316, 1229, 1160, 9068, 1739, 7813, 1905, 1049, 1048, 1357, 3808, 8404, 1009, 5795, 1009, 7066, 1728, 2202, 2124, 29913, 2315, 10218, 1048, 3530, 4731, 1060, 5507, 6639, 3189, 1463, 3117, 1016, 1049, 4819, 1206, 3375, 1046, 13476, 15445, 3360, 2950, 1857, 1294, 1919, 3982, 2276, 1857, 6510, 2080, 3144, 1117, 1093, 14936, 1009, 15617, 1593, 5770, 6346, 1078, 1107, 1009, 3724, 1802, 39, 77, 2361, 1009, 6796, 14062, 1054, 1094, 18748, 1049, 2790, 1009, 2979, 1009, 1094, 2318, 1660, 1009, 12163, 1048, 4454, 1094, 3897, 1043, 1044, 13363, 5503, 17885, 61, 13226, 12546, 1195, 7552, 1005, 1823, 2641, 2647, 1309, 1160, 13968, 14644, 3172, 3661, 1094, 30162, 1118, 24264, 15179, 3702, 1044, 4361, 29692, 18144, 7765, 1048, 1264, 10083, 1159, 3721, 18845, 4043, 1024, 1370, 1009, 4127, 7236, 89, 12546, 3661, 1044, 12855, 9674, 1118, 3689, 29445, 1130, 1054, 1044, 13333, 1009, 21277, 79, 2301, 1044, 20082, 1049, 2478, 1189, 1916, 53, 2191, 21681, 2961, 3382, 1080, 159, 72, 1599, 8413, 20573, 1184, 3232, 11001, 11780, 1009, 3977, 7236, 89, 12546, 1195, 10657, 1069, 1357, 16157, 1846, 1009, 1030, 5146, 2495, 1322, 14234, 1890, 1044, 2666, 1060, 6254, 1187, 15243, 1049, 31290, 6301, 22749, 1060, 16157, 1048, 1132, 4731, 11027, 1160, 1693, 22660, 1054, 3538, 9553, 1569, 8093, 1867, 2223, 50, 1291, 1009, 16383, 11001, 11780, 1009, 7218, 7514, 1009, 1044, 22960, 3461, 1009, 4283, 5786, 18738, 1043, 1094, 17499, 1154, 1118, 12511, 1072, 31212, 1631, 3282, 6346, 75, 3055, 1009, 7057, 9846, 1094, 2750, 17499, 1154, 1118, 12511, 1072, 12964, 1489, 1024, 1049, 1592, 5768, 4043, 71, 1047, 1009, 3977, 11584, 1027, 1072, 25561, 25944, 1224, 27234, 2170, 6568, 13990, 1264, 25548, 1009, 8770, 1411, 1026, 1048, 1026, 9905, 2979, 1118, 1184, 2848, 16787, 24318, 1370, 1009, 4119, 5296, 2758, 1069, 4454, 1026, 31212, 1631, 1026, 3708, 6388, 1044, 2666, 1060, 6254, 1187, 15243, 1005, 2156, 5465, 21910, 1060, 3595, 1049, 4819, 4043, 71, 1047, 1009, 4119, 2521, 1094, 13518, 1068, 8546, 1044, 1155, 4402, 2509, 1072, 31212, 1631, 3282, 1005, 7035, 1791, 22960, 8815, 1060, 5507, 4043, 1024, 1370, 1009, 4152, 1134, 1485, 1154, 1049, 7603, 1054, 1235, 5768, 15053, 1026, 11892, 1079, 1118, 4234, 28666, 61, 13272, 1364, 32, 3316, 14220, 5879, 1072, 11456, 1009, 6161, 2097, 1264, 7464, 1009, 1235, 1557, 1054, 14297, 8495, 1986, 1006, 1009, 11502, 1060, 3595, 1049, 4819, 3375, 1182, 2885, 1005, 26809, 32, 1026, 15545, 1060, 5507, 1114, 14514, 1072, 16346, 51, 10322, 6346, 1425, 30044, 6161, 11331, 71, 1044, 7939, 1114, 14514, 1080, 7721, 1075, 1107, 1148, 1114, 3349, 1009, 2156, 3680, 4792, 1580, 1009, 1080, 3434, 1626, 79, 1845, 90, 7075, 1009, 1944, 3161, 1160, 1693, 24382, 3530, 1338, 19887, 1009, 1834, 1005, 1857, 1318, 1160, 3634, 1556, 1189, 150, 8754, 1554, 47, 5455, 2124, 9433, 1837, 1657, 1044, 1901, 1048, 1026, 12114, 1060, 13723, 22857, 11308, 1439, 10214, 4979, 20, 61, 13226, 12546, 1516, 1044, 1150, 3185, 1147, 1009, 3161, 5178, 8, 1005, 1495, 6895, 6909, 1616, 2338, 2191, 21681, 2961, 1291, 1049, 31290, 3012, 10952, 159, 3527, 1159, 6043, 3320, 1534, 2124, 2584, 5095, 1679, 1456, 28762, 6082, 1761, 12079, 1009, 1048, 7236, 89, 12546, 1096, 1044, 11091, 12067, 85, 2457, 7585, 3659, 18436, 1130, 1054, 23865, 1005, 15443, 1024, 1159, 1044, 21500, 1160, 1096, 1159, 6608, 1036, 29130, 1989, 12554, 4752, 10577, 2124, 18479, 10777, 7236, 89, 1208, 3694, 1048, 6698, 2916, 1009, 18469, 1487, 16112, 1118, 9269, 16068, 1006, 1594, 8889, 1802, 61, 4189, 1870, 1235, 11237, 1072, 1594, 8889, 1672, 1048, 1516, 1044, 1150, 5708, 1221, 8, 1511, 1264, 1516, 20, 5552, 4137, 15443, 1157, 1054, 1094, 3696, 1054, 26765, 13, 43, 59, 2124, 1491, 1095, 1418, 1044, 3481, 6301, 4731, 9518, 1040, 5685, 6261, 1160, 3100, 15443, 1526, 15205, 1973, 1264, 3690, 1459, 3092, 1049, 1594, 8889, 3424, 623, 44, 1029, 1089, 1043, 1026, 6680, 1005, 1264, 1323, 9285, 1026, 16027, 20, 1097, 18325, 13922, 1212, 7529, 1616, 1006, 1264, 1005, 3230, 9359, 1040, 1554, 7281, 1323, 10845, 28831, 11478, 3390, 1005, 12720, 6622, 1006, 11249, 1538, 3885, 1611, 89, 1295, 2731, 1463, 3229, 1048, 1058, 19907, 1233, 4744, 1060, 14569, 11389, 1049, 1594, 8889, 1672, 1264, 1195, 3038, 5831, 1114, 9771, 3611, 3992, 1679, 26020, 18558, 11348, 53, 1048, 2381, 1508, 5369, 6792, 5254, 1538, 77, 1408, 1157, 13, 3125 ]

[ 3748, 1009, 2612, 1048, 1160, 1195, 2670, 1009, 1118, 1007, 3819, 1377, 1587, 4424, 1026, 13313, 1056, 2564, 1096, 1853, 1159, 13639, 18, 2446, 1128, 9804, 10393, 1566, 1048, 1160, 1413, 1239, 3048, 9503, 20, 1084, 14756, 3982, 2653, 1155, 1568, 3500, 1620, 4427, 6802, 10807, 20, 25123, 1237, 1020, 4324, 1011, 4787, 27603, 5999, 1130, 41, 5999, 1130, 25861, 3341, 18117, 10210, 2057, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14248, 3612, 14906, 14900, 1325, 16690, 1667, 27020, 1096, 21988, 1078, 1100, 1357, 2813, 10934, 4490, 4701, 1005, 9511, 4360, 1219, 14050, 16513, 1046, 1224, 1564, 2578, 1149, 1005, 1178, 2590, 20, 1387, 1179, 21901, 1235, 26174, 1005, 5391, 1009, 1062, 3329, 1921, 1009, 3189, 30992, 6168, 1049, 6220, 28288, 2155, 3754, 2904, 5999, 1130, 41, 5999, 1130, 25861, 3008, 57, 40, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14940, 3452, 1691, 2678, 1096, 21988, 7260, 2246, 4011, 8755, 1054, 8842, 1214, 31603, 0, 3385, 1160, 2373, 1021, 1097, 3046, 626, 0, 2930, 4113, 4337, 6154, 7449, 29247, 2373, 86, 1241, 1102, 31603, 4324, 1998, 1160, 1169, 3988, 1009, 7508, 1026, 5620, 0, 10814, 19337, 27020, 1096, 21988, 7260, 16037, 2742, 1159, 5806, 1026, 4011, 8755, 1048, 3028, 12207, 1096, 1044, 2863, 10226, 10806, 22548, 3008, 57, 40, 11632, 9833, 32, 1419, 6737, 1049, 1015, 2459, 21371, 1056, 12117, 89, 1009, 3186, 1009, 3149, 1009, 3209, 1726, 2322, 28064, 1072, 2859, 2373, 2366, 1908, 9441, 1905, 1068, 1044, 30440, 17197, 626, 1005, 5590, 1525, 2348, 3484, 11781, 5999, 1130, 41, 5999, 1130, 25861, 3576, 1024, 20704, 23, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14248, 2337, 8018, 73, 2118, 29842, 1043, 14328, 7669, 1026, 1048, 1030, 1626, 3847, 1229, 1026, 8030, 1058, 1160, 1225, 1030, 3022, 2155, 12931, 1592, 1704, 4854, 1131, 12267, 19, 4381, 26691, 1049, 20582, 5029, 4693, 2364, 2177, 9361, 1054, 22420, 32, 1006, 10593, 9564, 1009, 1472, 1833, 12720, 1048, 2122, 6043, 7316, 1172, 17011, 8194, 1011, 2049, 4108, 18868, 76, 2948, 2315, 1026, 1048, 1325, 1118, 3505, 1043, 1006, 2797, 1070, 1279, 1049, 6721, 1060, 5829, 16037, 1043, 21349, 1616, 1318, 24864, 2904, 5999, 1130, 41, 5999, 1130, 25861, 3341, 41, 1205, 2053, 8524, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14098, 4994, 1797, 21213, 1027, 1009, 23575, 2324, 2473, 2569, 1006, 2348, 8459, 9981, 4519, 30494, 12647, 1009, 1883, 1461, 10229, 17154, 1072, 3266, 5768, 1797, 5999, 1130, 41, 5999, 1188, 1118, 1083, 3271, 25861, 23701, 1065, 1669, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14098, 4943, 29817, 2207, 27603, 5999, 1130, 41, 5999, 1130, 25861, 3564, 1016, 3392, 2358, 1189, 2580, 16322, 1119, 1320, 3352, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 1984, 29435, 1576, 17118, 25345, 1027, 3341, 7210, 1049, 12684, 27020, 2555, 27157, 1060, 6974, 25345, 1810, 21664, 1048, 1026, 3505, 1093, 1058, 1234, 1160, 2155, 1261, 1962, 28216, 4028, 25852, 1114, 3349, 1060, 24326, 1479, 13702, 2321, 9671, 1479, 27692, 124, 30757, 2722, 4207, 1010, 1006, 2360, 12924, 5178, 4908, 12631, 1026, 5516, 1049, 25345, 1027, 4145, 2444, 11368, 2029, 1048, 1026, 17491, 1049, 20994, 1005, 1495, 6391, 4803, 1261, 1493, 2011, 1114, 9756, 1187, 13911, 2914, 23416, 1072, 4549, 1667, 2332, 1790, 5328, 1160, 3135, 6233, 1026, 10511, 1009, 6082, 1096, 1998, 3559, 1130, 6116, 1009, 13063, 1009, 21141, 1114, 4633, 1068, 1664, 1048, 12793, 1072, 2671, 1071, 1546, 2842, 18, 7263, 1005, 26746, 7058, 14777, 1005, 28146, 15, 1322, 1026, 10511, 29407, 1005, 1043, 1664, 1132, 10099, 1189, 2867, 1932, 1305, 3282, 1006, 2367, 1451, 5823, 1118, 1791, 2864, 4803, 1261, 3480, 1068, 2289, 2904, 5999, 1130, 41, 5999, 1130, 25861, 23701, 1065, 1669, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 1984, 28373, 1759, 7876, 4884, 17146, 162, 27603, 5999, 1130, 41, 5999, 1130, 25861, 3996, 9547, 1396, 1067, 1690, 3363, 11377, 1073, 1810, 10192, 22548, 77, 1088, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14940, 3612, 3564, 14880, 1930, 1006, 5576, 1009, 1058, 3786, 1024, 1054, 13063, 1322, 1132, 13503, 1114, 4633, 1068, 1664, 1132, 6044, 7546, 1096, 1044, 6976, 1068, 1026, 1142, 57, 9484, 1048, 1072, 1205, 8185, 1243, 2592, 2064, 3097, 16257, 1005, 22020, 1132, 25079, 1005, 1132, 1717, 20, 17626, 6027, 1048, 1006, 1807, 3364, 1187, 6044, 7546, 1160, 6698, 3360, 1992, 1005, 6119, 2374, 3654, 8696, 12633, 79, 15115, 3782, 1096, 1094, 7472, 8116, 1005, 1184, 1094, 1068, 24982, 1124, 12388, 1125, 6292, 1573, 2904, 5999, 1130, 41, 5999, 1130, 25861, 3008, 57, 40, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14940, 3413, 12796, 96, 1166, 19699, 8717, 3509, 1006, 4940, 1930, 4803, 3062, 1071, 1418, 3048, 11217, 2064, 3256, 3057, 3326, 3335, 1309, 0, 3377, 2377, 4424, 1094, 3593, 17860, 1187, 6044, 1160, 1006, 4536, 1281, 13503, 2072, 9789, 4908, 8435, 1298, 1495, 1178, 19987, 1006, 5576, 18, 1309, 1160, 1058, 31726, 1114, 5829, 2904, 1214, 2373, 9287, 1061, 1250, 626, 1118, 1178, 1651, 2477, 5094, 10599, 89, 1160, 11825, 1026, 2950, 1006, 5829, 4145, 14428, 1009, 3865, 1006, 6044, 7546, 0, 6762, 1026, 2950, 1857, 18413, 1114, 5829, 1068, 27554, 30196, 2545, 11018, 1205, 135, 56, 45, 5356, 2545, 27813, 57, 135, 18797, 2870, 0, 1005, 1184, 32, 6044, 7546, 27259, 11136, 10884, 47, 26430, 13767, 4055, 18862, 10274, 2545, 6793, 7680, 2982, 2870, 2053, 23940, 2870, 7, 14522, 1040, 2252, 1124, 17105, 1358, 1273, 2252, 1124, 5480, 1009, 1080, 6348, 1930, 1664, 1132, 3328, 1048, 1693, 1178, 27375, 2585, 7088, 7088, 7088, 13312, 168, 1068, 7813, 1439, 32, 1901, 5626, 5838, 8134, 1791, 1646, 5626, 1349, 1006, 5829, 19396, 1026, 2671, 18235, 2581, 12134, 3071, 2053, 11136, 2818, 51, 4503, 3107, 2428, 25160, 53, 26790, 50, 2713, 7759, 8422, 7514, 1114, 8324, 0, 1533, 22548, 6762, 11142, 1357, 2373, 6212, 4909, 626, 16184, 57, 40, 1576, 31566, 5993, 9765, 1006, 2373, 4104, 3891, 1259, 1034, 1914, 626, 5544, 8853, 1645, 18, 13395, 7308, 1423, 3240, 1048, 2742, 2373, 73, 1671, 626, 5544, 1169, 6267, 5294, 1006, 21301, 4534, 1005, 2742, 1940, 1029, 8010, 7, 4935, 1837, 2444, 11787, 1187, 27311, 1837, 1318, 1006, 25672, 1236, 3873, 4179, 11361, 22819, 1184, 20456, 1054, 2089, 2296, 3397, 1392, 22819, 2444, 12495, 7457, 1236, 2464, 1118, 1224, 5326, 5759, 2444, 28405, 12249, 1060, 4263, 2464, 3960, 15199, 4597, 1184, 3480, 1068, 8895, 1206, 22003, 11781, 5999, 1130, 41, 5999, 1130, 18515, 1027, 11377, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14115, 2721, 5026, 4402, 1041, 11904, 9581, 1160, 1096, 3192, 3630, 12527, 1048, 20427, 1412, 1132, 25222, 1074, 1936, 5345, 18809, 1184, 1323, 28671, 150, 1058, 1160, 1058, 14820, 1679, 2929, 58, 11048, 5139, 2696, 1609, 12937, 1196, 1195, 1026, 2092, 2835, 6302, 2188, 4672, 1006, 21504, 10871, 1084, 3048, 13001, 18465, 27603, 5999, 1130, 41, 5999, 1130, 25861, 23701, 1065, 1669, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14115, 4673, 1691, 1165, 1342, 0, 1759, 7393, 4929, 2096, 16658, 1026, 2444, 26922, 8878, 76, 1270, 1557, 22290, 12931, 2963, 6852, 6016, 37, 85, 1284, 1133, 1101, 1049, 2523, 8057, 19184, 4929, 2096, 16658, 1132, 2444, 26922, 2602, 32, 80, 1214, 2106, 1399, 1362, 2106, 2405, 4065, 81, 1265, 1182, 1678, 24045, 3482, 1182, 8587, 1048, 14900, 1516, 1026, 1048, 1096, 3812, 1902, 1784, 1048, 1026, 19138, 2271, 1006, 7558, 2805, 1026, 3855, 7655, 2284, 6728, 1048, 2468, 1993, 10882, 8333, 11032, 4355, 1053, 1797, 5999, 1130, 41, 5999, 1130, 25861, 1383, 1773, 1056, 12117, 89, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14115, 8121, 6593, 9965, 1566, 10815, 1048, 6119, 18, 1068, 27965, 1026, 1807, 2863, 1049, 1561, 1160, 2374, 1006, 24878, 2762, 1005, 1841, 1006, 27665, 3131, 1187, 3408, 4593, 1046, 11790, 12773, 9403, 15, 1005, 1026, 3603, 1048, 1006, 7116, 28489, 1322, 1006, 1834, 2952, 2328, 1060, 24672, 1060, 16909, 7088, 37, 4490, 8151, 1195, 1094, 2373, 16528, 1148, 626, 1009, 5674, 5783, 11198, 2255, 18085, 1005, 19475, 1104, 1146, 5430, 2247, 1009, 1044, 24092, 4107, 1905, 2373, 86, 1631, 2822, 1060, 12207, 8226, 7669, 17231, 18, 1664, 1718, 8587, 1048, 3592, 5298, 1160, 28500, 6802, 1114, 2921, 4188, 1026, 1557, 2220, 19778, 1206, 2444, 1159, 1026, 9214, 1072, 2671, 1058, 4312, 1493, 3630, 1049, 9214, 1009, 8911, 1565, 26128, 1298, 1178, 1048, 3241, 20467, 1026, 2803, 1060, 1944, 24644, 2170, 1054, 1720, 1009, 1058, 17704, 1717, 1006, 7116, 7092, 1325, 29308, 1213, 2686, 7941, 1349, 3241, 24351, 1663, 1572, 24189, 1213, 2686, 7941, 1068, 1048, 1668, 1935, 1009, 12140, 5294, 1006, 7116, 1005, 1224, 19658, 1377, 3292, 1131, 1224, 2068, 2373, 29454, 12207, 626, 1309, 28217, 1717, 1006, 7116, 6762, 6379, 2731, 4682, 1224, 2068, 8657, 1126, 23274, 1250, 5674, 3013, 3377, 132, 1998, 1094, 1579, 2176, 2904, 5999, 1130, 41, 5999, 1130, 25861, 1940, 82, 83, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 16819, 2944, 1605, 2863, 1049, 9581, 1096, 1006, 1090, 1921, 20, 2200, 1225, 1083, 2195, 21821, 1009, 4464, 20, 15297, 1044, 1009, 17362, 8247, 1962, 6544, 1381, 6256, 13687, 20, 1084, 1264, 1160, 14085, 13687, 8333, 2155, 1288, 1439, 3192, 17222, 1124, 1028, 1075, 1436, 7013, 10266, 1206, 1124, 1090, 1921, 89, 26089, 3414, 91, 2024, 1478, 19644, 26399, 1233, 2922, 3615, 2904, 5999, 1130, 41, 5999, 1188, 1118, 1083, 3271, 25861, 3008, 57, 40, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 15433, 3413, 1467, 2252, 1205, 1018, 3856, 1048, 19387, 1046, 29836, 1054, 1044, 5731, 25345, 17610, 3528, 3383, 1009, 6813, 25345, 1027, 3765, 1006, 2511, 8239, 1898, 625, 58, 2315, 1094, 16401, 22411, 1094, 16401, 1054, 1048, 1225, 4805, 4614, 1048, 7464, 1049, 10104, 2874, 4475, 2605, 4292, 1094, 8509, 1049, 1457, 1052, 1196, 11146, 6185, 29031, 1068, 11249, 2656, 1298, 1178, 23114, 5841, 16401, 5462, 7554, 4812, 4414, 132, 45, 8638, 2013, 22523, 1207, 2393, 30684, 10878, 132, 56, 9761, 20, 14429, 1094, 6672, 16401, 1060, 1634, 1078, 4195, 1048, 3904, 1060, 2706, 8579, 26644, 2654, 3100, 8579, 26644, 9627, 3372, 1096, 22419, 1081, 25732, 1084, 1006, 3010, 1330, 6177, 18, 26002, 31970, 3192, 1717, 18, 1309, 1006, 3010, 1330, 6177, 1096, 18289, 1694, 1049, 10447, 10636, 7804, 1989, 1096, 1026, 2930, 6950, 1810, 6932, 20, 5296, 14015, 3699, 1508, 1009, 2716, 4364, 79, 2106, 8813, 5724, 1573, 1005, 1187, 5049, 3446, 1938, 1016, 626, 17740, 74, 1780, 2925, 1054, 10856, 1775, 30192, 4859, 1308, 2267, 1195, 24740, 2408, 1898, 625, 60, 2238, 1009, 9581, 1919, 1048, 4011, 9630, 1079, 11348, 1917, 1078, 1272, 624, 1049, 4963, 1047, 1005, 11348, 18782, 1330, 6177, 624, 1049, 10447, 1577, 626, 11632, 1736, 1358, 2509, 1049, 1138, 7764, 1308, 625, 45, 21497, 25345, 1027, 8372, 4963, 1047, 1233, 2373, 1917, 1078, 1272, 626, 1005, 14871, 1233, 2373, 18782, 1330, 6177, 626, 11632, 1736, 1358, 2509, 1060, 5623, 2373, 4878, 2192, 626, 1308, 625, 54, 24501, 9630, 1079, 1634, 1078, 1272, 1049, 4963, 1047, 1005, 3010, 1330, 6177, 1049, 1915, 2586, 1919, 25345, 1027, 626, 11632, 1736, 1358, 2509, 1049, 1138, 2487, 17943, 1291, 1308, 625, 60, 2238, 1009, 27965, 25345, 1027, 8372, 4963, 1047, 1233, 2373, 1917, 1078, 1272, 626, 1005, 14871, 1233, 2373, 18782, 1330, 6177, 626, 11632, 1736, 1358, 2509, 1060, 7388, 2592, 1308, 625, 60, 2238, 1009, 9581, 32, 2373, 2002, 1513, 9630, 1079, 1634, 1078, 1272, 1049, 4963, 1047, 1005, 3010, 1330, 6177, 1049, 14871, 626, 11632, 56, 1367, 1291, 4670, 1036, 1308, 625, 51, 2356, 1027, 1919, 1048, 1908, 9630, 1079, 2373, 1917, 1078, 1272, 626, 1049, 4963, 1047, 1005, 2373, 18782, 1330, 6177, 626, 1049, 14871, 626, 11632, 1736, 1358, 2509, 1009, 7026, 1054, 3650, 1066, 1479, 1228, 1078, 1308, 625, 45, 21497, 25345, 17610, 2373, 40, 1405, 1243, 9630, 1079, 1634, 1078, 1272, 1187, 20611, 1005, 3010, 1330, 6177, 1187, 15347, 626, 11632, 41, 1618, 1047, 1049, 18145, 1308, 625, 45, 21497, 25345, 17610, 2373, 72, 1405, 1243, 9630, 1079, 1634, 1078, 1272, 1187, 20611, 1005, 3010, 1330, 6177, 1187, 15347, 626, 11632, 8816, 1358, 2509, 1072, 2788, 1060, 10454, 30429, 11960, 1308, 625, 60, 2063, 1009, 25345, 1027, 1322, 1111, 9010, 3010, 14498, 3411, 1060, 16401, 17241, 1005, 21594, 12549, 12600, 18983, 1573, 1049, 24415, 1442, 626, 11632, 8816, 1358, 2509, 1060, 5987, 1049, 1587, 20989, 22835, 1479, 1228, 1078, 14079, 12690, 1596, 1124, 17827, 6184, 1009, 2452, 1089, 21643, 1142, 1545, 2464, 1233, 7475, 2539, 1734, 9065, 1075, 5430, 13060, 1573, 1005, 16612, 3523, 1412, 1026, 3124, 1049, 1592, 3756, 4593, 28886, 4564, 1124, 5314, 18405, 1006, 15347, 1005 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3748, 1009, 2612, 1048, 1160, 1195, 2670, 1009, 1118, 1007, 3819, 1377, 1587, 4424, 1026, 13313, 1056, 2564, 1096, 1853, 1159, 13639, 18, 2446, 1128, 9804, 10393, 1566, 1048, 1160, 1413, 1239, 3048, 9503, 20, 1084, 14756, 3982, 2653, 1155, 1568, 3500, 1620, 4427, 6802, 10807, 20, 25123, 1237, 1020, 4324, 1011, 4787, 27603, 5999, 1130, 41, 5999, 1130, 25861, 3341, 18117, 10210, 2057, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14248, 3612, 14906, 14900, 1325, 16690, 1667, 27020, 1096, 21988, 1078, 1100, 1357, 2813, 10934, 4490, 4701, 1005, 9511, 4360, 1219, 14050, 16513, 1046, 1224, 1564, 2578, 1149, 1005, 1178, 2590, 20, 1387, 1179, 21901, 1235, 26174, 1005, 5391, 1009, 1062, 3329, 1921, 1009, 3189, 30992, 6168, 1049, 6220, 28288, 2155, 3754, 2904, 5999, 1130, 41, 5999, 1130, 25861, 3008, 57, 40, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14940, 3452, 1691, 2678, 1096, 21988, 7260, 2246, 4011, 8755, 1054, 8842, 1214, 31603, 0, 3385, 1160, 2373, 1021, 1097, 3046, 626, 0, 2930, 4113, 4337, 6154, 7449, 29247, 2373, 86, 1241, 1102, 31603, 4324, 1998, 1160, 1169, 3988, 1009, 7508, 1026, 5620, 0, 10814, 19337, 27020, 1096, 21988, 7260, 16037, 2742, 1159, 5806, 1026, 4011, 8755, 1048, 3028, 12207, 1096, 1044, 2863, 10226, 10806, 22548, 3008, 57, 40, 11632, 9833, 32, 1419, 6737, 1049, 1015, 2459, 21371, 1056, 12117, 89, 1009, 3186, 1009, 3149, 1009, 3209, 1726, 2322, 28064, 1072, 2859, 2373, 2366, 1908, 9441, 1905, 1068, 1044, 30440, 17197, 626, 1005, 5590, 1525, 2348, 3484, 11781, 5999, 1130, 41, 5999, 1130, 25861, 3576, 1024, 20704, 23, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14248, 2337, 8018, 73, 2118, 29842, 1043, 14328, 7669, 1026, 1048, 1030, 1626, 3847, 1229, 1026, 8030, 1058, 1160, 1225, 1030, 3022, 2155, 12931, 1592, 1704, 4854, 1131, 12267, 19, 4381, 26691, 1049, 20582, 5029, 4693, 2364, 2177, 9361, 1054, 22420, 32, 1006, 10593, 9564, 1009, 1472, 1833, 12720, 1048, 2122, 6043, 7316, 1172, 17011, 8194, 1011, 2049, 4108, 18868, 76, 2948, 2315, 1026, 1048, 1325, 1118, 3505, 1043, 1006, 2797, 1070, 1279, 1049, 6721, 1060, 5829, 16037, 1043, 21349, 1616, 1318, 24864, 2904, 5999, 1130, 41, 5999, 1130, 25861, 3341, 41, 1205, 2053, 8524, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14098, 4994, 1797, 21213, 1027, 1009, 23575, 2324, 2473, 2569, 1006, 2348, 8459, 9981, 4519, 30494, 12647, 1009, 1883, 1461, 10229, 17154, 1072, 3266, 5768, 1797, 5999, 1130, 41, 5999, 1188, 1118, 1083, 3271, 25861, 23701, 1065, 1669, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14098, 4943, 29817, 2207, 27603, 5999, 1130, 41, 5999, 1130, 25861, 3564, 1016, 3392, 2358, 1189, 2580, 16322, 1119, 1320, 3352, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 1984, 29435, 1576, 17118, 25345, 1027, 3341, 7210, 1049, 12684, 27020, 2555, 27157, 1060, 6974, 25345, 1810, 21664, 1048, 1026, 3505, 1093, 1058, 1234, 1160, 2155, 1261, 1962, 28216, 4028, 25852, 1114, 3349, 1060, 24326, 1479, 13702, 2321, 9671, 1479, 27692, 124, 30757, 2722, 4207, 1010, 1006, 2360, 12924, 5178, 4908, 12631, 1026, 5516, 1049, 25345, 1027, 4145, 2444, 11368, 2029, 1048, 1026, 17491, 1049, 20994, 1005, 1495, 6391, 4803, 1261, 1493, 2011, 1114, 9756, 1187, 13911, 2914, 23416, 1072, 4549, 1667, 2332, 1790, 5328, 1160, 3135, 6233, 1026, 10511, 1009, 6082, 1096, 1998, 3559, 1130, 6116, 1009, 13063, 1009, 21141, 1114, 4633, 1068, 1664, 1048, 12793, 1072, 2671, 1071, 1546, 2842, 18, 7263, 1005, 26746, 7058, 14777, 1005, 28146, 15, 1322, 1026, 10511, 29407, 1005, 1043, 1664, 1132, 10099, 1189, 2867, 1932, 1305, 3282, 1006, 2367, 1451, 5823, 1118, 1791, 2864, 4803, 1261, 3480, 1068, 2289, 2904, 5999, 1130, 41, 5999, 1130, 25861, 23701, 1065, 1669, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 1984, 28373, 1759, 7876, 4884, 17146, 162, 27603, 5999, 1130, 41, 5999, 1130, 25861, 3996, 9547, 1396, 1067, 1690, 3363, 11377, 1073, 1810, 10192, 22548, 77, 1088, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14940, 3612, 3564, 14880, 1930, 1006, 5576, 1009, 1058, 3786, 1024, 1054, 13063, 1322, 1132, 13503, 1114, 4633, 1068, 1664, 1132, 6044, 7546, 1096, 1044, 6976, 1068, 1026, 1142, 57, 9484, 1048, 1072, 1205, 8185, 1243, 2592, 2064, 3097, 16257, 1005, 22020, 1132, 25079, 1005, 1132, 1717, 20, 17626, 6027, 1048, 1006, 1807, 3364, 1187, 6044, 7546, 1160, 6698, 3360, 1992, 1005, 6119, 2374, 3654, 8696, 12633, 79, 15115, 3782, 1096, 1094, 7472, 8116, 1005, 1184, 1094, 1068, 24982, 1124, 12388, 1125, 6292, 1573, 2904, 5999, 1130, 41, 5999, 1130, 25861, 3008, 57, 40, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14940, 3413, 12796, 96, 1166, 19699, 8717, 3509, 1006, 4940, 1930, 4803, 3062, 1071, 1418, 3048, 11217, 2064, 3256, 3057, 3326, 3335, 1309, 0, 3377, 2377, 4424, 1094, 3593, 17860, 1187, 6044, 1160, 1006, 4536, 1281, 13503, 2072, 9789, 4908, 8435, 1298, 1495, 1178, 19987, 1006, 5576, 18, 1309, 1160, 1058, 31726, 1114, 5829, 2904, 1214, 2373, 9287, 1061, 1250, 626, 1118, 1178, 1651, 2477, 5094, 10599, 89, 1160, 11825, 1026, 2950, 1006, 5829, 4145, 14428, 1009, 3865, 1006, 6044, 7546, 0, 6762, 1026, 2950, 1857, 18413, 1114, 5829, 1068, 27554, 30196, 2545, 11018, 1205, 135, 56, 45, 5356, 2545, 27813, 57, 135, 18797, 2870, 0, 1005, 1184, 32, 6044, 7546, 27259, 11136, 10884, 47, 26430, 13767, 4055, 18862, 10274, 2545, 6793, 7680, 2982, 2870, 2053, 23940, 2870, 7, 14522, 1040, 2252, 1124, 17105, 1358, 1273, 2252, 1124, 5480, 1009, 1080, 6348, 1930, 1664, 1132, 3328, 1048, 1693, 1178, 27375, 2585, 7088, 7088, 7088, 13312, 168, 1068, 7813, 1439, 32, 1901, 5626, 5838, 8134, 1791, 1646, 5626, 1349, 1006, 5829, 19396, 1026, 2671, 18235, 2581, 12134, 3071, 2053, 11136, 2818, 51, 4503, 3107, 2428, 25160, 53, 26790, 50, 2713, 7759, 8422, 7514, 1114, 8324, 0, 1533, 22548, 6762, 11142, 1357, 2373, 6212, 4909, 626, 16184, 57, 40, 1576, 31566, 5993, 9765, 1006, 2373, 4104, 3891, 1259, 1034, 1914, 626, 5544, 8853, 1645, 18, 13395, 7308, 1423, 3240, 1048, 2742, 2373, 73, 1671, 626, 5544, 1169, 6267, 5294, 1006, 21301, 4534, 1005, 2742, 1940, 1029, 8010, 7, 4935, 1837, 2444, 11787, 1187, 27311, 1837, 1318, 1006, 25672, 1236, 3873, 4179, 11361, 22819, 1184, 20456, 1054, 2089, 2296, 3397, 1392, 22819, 2444, 12495, 7457, 1236, 2464, 1118, 1224, 5326, 5759, 2444, 28405, 12249, 1060, 4263, 2464, 3960, 15199, 4597, 1184, 3480, 1068, 8895, 1206, 22003, 11781, 5999, 1130, 41, 5999, 1130, 18515, 1027, 11377, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14115, 2721, 5026, 4402, 1041, 11904, 9581, 1160, 1096, 3192, 3630, 12527, 1048, 20427, 1412, 1132, 25222, 1074, 1936, 5345, 18809, 1184, 1323, 28671, 150, 1058, 1160, 1058, 14820, 1679, 2929, 58, 11048, 5139, 2696, 1609, 12937, 1196, 1195, 1026, 2092, 2835, 6302, 2188, 4672, 1006, 21504, 10871, 1084, 3048, 13001, 18465, 27603, 5999, 1130, 41, 5999, 1130, 25861, 23701, 1065, 1669, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14115, 4673, 1691, 1165, 1342, 0, 1759, 7393, 4929, 2096, 16658, 1026, 2444, 26922, 8878, 76, 1270, 1557, 22290, 12931, 2963, 6852, 6016, 37, 85, 1284, 1133, 1101, 1049, 2523, 8057, 19184, 4929, 2096, 16658, 1132, 2444, 26922, 2602, 32, 80, 1214, 2106, 1399, 1362, 2106, 2405, 4065, 81, 1265, 1182, 1678, 24045, 3482, 1182, 8587, 1048, 14900, 1516, 1026, 1048, 1096, 3812, 1902, 1784, 1048, 1026, 19138, 2271, 1006, 7558, 2805, 1026, 3855, 7655, 2284, 6728, 1048, 2468, 1993, 10882, 8333, 11032, 4355, 1053, 1797, 5999, 1130, 41, 5999, 1130, 25861, 1383, 1773, 1056, 12117, 89, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 14115, 8121, 6593, 9965, 1566, 10815, 1048, 6119, 18, 1068, 27965, 1026, 1807, 2863, 1049, 1561, 1160, 2374, 1006, 24878, 2762, 1005, 1841, 1006, 27665, 3131, 1187, 3408, 4593, 1046, 11790, 12773, 9403, 15, 1005, 1026, 3603, 1048, 1006, 7116, 28489, 1322, 1006, 1834, 2952, 2328, 1060, 24672, 1060, 16909, 7088, 37, 4490, 8151, 1195, 1094, 2373, 16528, 1148, 626, 1009, 5674, 5783, 11198, 2255, 18085, 1005, 19475, 1104, 1146, 5430, 2247, 1009, 1044, 24092, 4107, 1905, 2373, 86, 1631, 2822, 1060, 12207, 8226, 7669, 17231, 18, 1664, 1718, 8587, 1048, 3592, 5298, 1160, 28500, 6802, 1114, 2921, 4188, 1026, 1557, 2220, 19778, 1206, 2444, 1159, 1026, 9214, 1072, 2671, 1058, 4312, 1493, 3630, 1049, 9214, 1009, 8911, 1565, 26128, 1298, 1178, 1048, 3241, 20467, 1026, 2803, 1060, 1944, 24644, 2170, 1054, 1720, 1009, 1058, 17704, 1717, 1006, 7116, 7092, 1325, 29308, 1213, 2686, 7941, 1349, 3241, 24351, 1663, 1572, 24189, 1213, 2686, 7941, 1068, 1048, 1668, 1935, 1009, 12140, 5294, 1006, 7116, 1005, 1224, 19658, 1377, 3292, 1131, 1224, 2068, 2373, 29454, 12207, 626, 1309, 28217, 1717, 1006, 7116, 6762, 6379, 2731, 4682, 1224, 2068, 8657, 1126, 23274, 1250, 5674, 3013, 3377, 132, 1998, 1094, 1579, 2176, 2904, 5999, 1130, 41, 5999, 1130, 25861, 1940, 82, 83, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 16819, 2944, 1605, 2863, 1049, 9581, 1096, 1006, 1090, 1921, 20, 2200, 1225, 1083, 2195, 21821, 1009, 4464, 20, 15297, 1044, 1009, 17362, 8247, 1962, 6544, 1381, 6256, 13687, 20, 1084, 1264, 1160, 14085, 13687, 8333, 2155, 1288, 1439, 3192, 17222, 1124, 1028, 1075, 1436, 7013, 10266, 1206, 1124, 1090, 1921, 89, 26089, 3414, 91, 2024, 1478, 19644, 26399, 1233, 2922, 3615, 2904, 5999, 1130, 41, 5999, 1188, 1118, 1083, 3271, 25861, 3008, 57, 40, 1973, 1898, 3531, 1009, 3149, 1009, 3209, 1726, 15433, 3413, 1467, 2252, 1205, 1018, 3856, 1048, 19387, 1046, 29836, 1054, 1044, 5731, 25345, 17610, 3528, 3383, 1009, 6813, 25345, 1027, 3765, 1006, 2511, 8239, 1898, 625, 58, 2315, 1094, 16401, 22411, 1094, 16401, 1054, 1048, 1225, 4805, 4614, 1048, 7464, 1049, 10104, 2874, 4475, 2605, 4292, 1094, 8509, 1049, 1457, 1052, 1196, 11146, 6185, 29031, 1068, 11249, 2656, 1298, 1178, 23114, 5841, 16401, 5462, 7554, 4812, 4414, 132, 45, 8638, 2013, 22523, 1207, 2393, 30684, 10878, 132, 56, 9761, 20, 14429, 1094, 6672, 16401, 1060, 1634, 1078, 4195, 1048, 3904, 1060, 2706, 8579, 26644, 2654, 3100, 8579, 26644, 9627, 3372, 1096, 22419, 1081, 25732, 1084, 1006, 3010, 1330, 6177, 18, 26002, 31970, 3192, 1717, 18, 1309, 1006, 3010, 1330, 6177, 1096, 18289, 1694, 1049, 10447, 10636, 7804, 1989, 1096, 1026, 2930, 6950, 1810, 6932, 20, 5296, 14015, 3699, 1508, 1009, 2716, 4364, 79, 2106, 8813, 5724, 1573, 1005, 1187, 5049, 3446, 1938, 1016, 626, 17740, 74, 1780, 2925, 1054, 10856, 1775, 30192, 4859, 1308, 2267, 1195, 24740, 2408, 1898, 625, 60, 2238, 1009, 9581, 1919, 1048, 4011, 9630, 1079, 11348, 1917, 1078, 1272, 624, 1049, 4963, 1047, 1005, 11348, 18782, 1330, 6177, 624, 1049, 10447, 1577, 626, 11632, 1736, 1358, 2509, 1049, 1138, 7764, 1308, 625, 45, 21497, 25345, 1027, 8372, 4963, 1047, 1233, 2373, 1917, 1078, 1272, 626, 1005, 14871, 1233, 2373, 18782, 1330, 6177, 626, 11632, 1736, 1358, 2509, 1060, 5623, 2373, 4878, 2192, 626, 1308, 625, 54, 24501, 9630, 1079, 1634, 1078, 1272, 1049, 4963, 1047, 1005, 3010, 1330, 6177, 1049, 1915, 2586, 1919, 25345, 1027, 626, 11632, 1736, 1358, 2509, 1049, 1138, 2487, 17943, 1291, 1308, 625, 60, 2238, 1009, 27965, 25345, 1027, 8372, 4963, 1047, 1233, 2373, 1917, 1078, 1272, 626, 1005, 14871, 1233, 2373, 18782, 1330, 6177, 626, 11632, 1736, 1358, 2509, 1060, 7388, 2592, 1308, 625, 60, 2238, 1009, 9581, 32, 2373, 2002, 1513, 9630, 1079, 1634, 1078, 1272, 1049, 4963, 1047, 1005, 3010, 1330, 6177, 1049, 14871, 626, 11632, 56, 1367, 1291, 4670, 1036, 1308, 625, 51, 2356, 1027, 1919, 1048, 1908, 9630, 1079, 2373, 1917, 1078, 1272, 626, 1049, 4963, 1047, 1005, 2373, 18782, 1330, 6177, 626, 1049, 14871, 626, 11632, 1736, 1358, 2509, 1009, 7026, 1054, 3650, 1066, 1479, 1228, 1078, 1308, 625, 45, 21497, 25345, 17610, 2373, 40, 1405, 1243, 9630, 1079, 1634, 1078, 1272, 1187, 20611, 1005, 3010, 1330, 6177, 1187, 15347, 626, 11632, 41, 1618, 1047, 1049, 18145, 1308, 625, 45, 21497, 25345, 17610, 2373, 72, 1405, 1243, 9630, 1079, 1634, 1078, 1272, 1187, 20611, 1005, 3010, 1330, 6177, 1187, 15347, 626, 11632, 8816, 1358, 2509, 1072, 2788, 1060, 10454, 30429, 11960, 1308, 625, 60, 2063, 1009, 25345, 1027, 1322, 1111, 9010, 3010, 14498, 3411, 1060, 16401, 17241, 1005, 21594, 12549, 12600, 18983, 1573, 1049, 24415, 1442, 626, 11632, 8816, 1358, 2509, 1060, 5987, 1049, 1587, 20989, 22835, 1479, 1228, 1078, 14079, 12690, 1596, 1124, 17827, 6184, 1009, 2452, 1089, 21643, 1142, 1545, 2464, 1233, 7475, 2539, 1734, 9065, 1075, 5430, 13060, 1573, 1005, 16612, 3523, 1412, 1026, 3124, 1049, 1592, 3756, 4593, 28886, 4564, 1124, 5314, 18405, 1006, 15347, 1005 ]

[ 17688, 1009, 1249, 1014, 4882, 7, 2343, 4719, 1009, 1086, 3903, 4385, 25786, 19670, 9140, 8135, 1026, 1344, 2145, 1100, 1049, 26784, 1005, 1503, 1533, 19304, 1005, 2173, 1140, 2231, 4138, 25622, 3276, 16020, 1048, 4480, 8587, 8134, 2848, 73, 1361, 1646, 1068, 1294, 4531, 1800, 22903, 3983, 12878, 12049, 1048, 2231, 4138, 2257, 4399, 3320, 2343, 4719, 1048, 1132, 2373, 1418, 1035, 1292, 1093, 7178, 626, 1026, 1131, 1648, 1096, 1026, 3124, 1009, 1048, 1006, 25753, 3364, 1009, 1783, 1048, 8708, 9446, 1068, 11270, 12990, 2246, 1006, 1834, 1054, 1456, 4290, 1009, 4599, 1516, 1094, 16130, 1196, 7, 9528, 1058, 20980, 15445, 7, 3845, 3923, 7, 10497, 3634, 27707, 1787, 1006, 5338, 1009, 15361, 1154, 3022, 1026, 2403, 1054, 1048, 1006, 2979, 1042, 1239, 20279, 1118, 12823, 1699, 1128, 3294, 5510, 1044, 10378, 1114, 2519, 1986, 16529, 1178, 4260, 1679, 25546, 1223, 13148, 2340, 3904, 1049, 19977, 1096, 2373, 1418, 1035, 1292, 1034, 8226, 1071, 19946, 22198, 1043, 1006, 11028, 1060, 2413, 3821, 1322, 1132, 7533, 20570, 1118, 10790, 0, 16075, 8358, 1871, 1009, 4260, 1149, 1096, 1026, 3707, 2373, 45, 1091, 1009, 1680, 8226, 5841, 30171, 4666, 6402, 15402, 6989, 1930, 8439, 1930, 6867, 4492, 12016, 1930, 2623, 1302, 1130, 0, 1138, 1048, 27173, 1096, 2551, 1012, 1024, 1005, 2071, 18764, 76, 175, 77, 1333, 1068, 4054, 1054, 13782, 11551, 3592, 3469, 1114, 27966, 1021, 3843, 1163, 1091, 1009, 1680, 26909, 10272, 1870, 1213, 13150, 1009, 1178, 20, 29074, 3869, 1046, 28182, 3680, 5036, 9138, 1961, 4031, 27100, 1583, 2917, 75, 5018, 8107, 3680, 5036, 8019, 2873, 1212, 11871, 1005, 4682, 1006, 2869, 1009, 3469, 1048, 4011, 1381, 1068, 12016, 1024, 1026, 1557, 1998, 10857, 5219, 1026, 11974, 1060, 6644, 20, 1776, 8435, 1837, 1783, 1048, 6910, 1040, 1006, 5293, 1071, 4255, 1160, 10857, 2598, 37, 1349, 3702, 10080, 1837, 3251, 26245, 1206, 8435, 6660, 1114, 5519, 2275, 1138, 7836, 1005, 1240, 1088, 1629, 26067, 1054, 2869, 1679, 19811, 7, 6416, 1508, 15075, 1044, 3041, 26472, 1147, 1043, 1026, 2742, 2277, 13622, 1271, 6283, 24260, 20, 1084, 1159, 1124, 17584, 1009, 7769, 1005, 15525, 1160, 1225, 2281, 1124, 2540, 2905, 1206, 4626, 3273, 1006, 8509, 1096, 4537, 1800, 7024, 1049, 15325, 1364, 1667, 1063, 3961, 1325, 1703, 14570, 7, 10255, 1416, 7, 2358, 16507, 2315, 3794, 14675, 1098, 2527, 1095, 1554, 1138, 1048, 3449, 2822, 1049, 1784, 2155, 18541, 6392, 1043, 1026, 1831, 2666, 1060, 3595, 1049, 4819, 20, 2013, 4918, 1048, 5544, 8667, 1024, 5832, 7663, 1009, 1044, 2017, 1779, 2311, 1083, 7, 9528, 8677, 22522, 1853, 3246, 1049, 5108, 8900, 1184, 1044, 7248, 2155, 11860, 1068, 5525, 1132, 17492, 2602, 1005, 3647, 1124, 3469, 1159, 1327, 20, 1084, 1616, 10094, 1096, 14969, 4908, 4434, 4995, 18899, 1089, 2350, 9001, 1273, 1309, 9011, 2445, 2080, 1473, 1728, 6126, 2089, 1005, 1058, 4327, 9578, 11971, 1005, 3754, 2688, 1327, 1503, 29867, 1370, 20, 18935, 1026, 1048, 1160, 10857, 1054, 10312, 24884, 2402, 13141, 1088, 88, 2647, 1096, 1094, 12831, 4557, 3446, 162, 24814, 3953, 20467, 1213, 1050, 5068, 1449, 1606, 1034, 1007, 7, 1505, 1616, 4540, 9135, 1118, 13765, 1063, 1803, 1048, 23325, 3916, 5848, 19, 0, 19, 0, 19, 0, 19, 0, 19, 0, 19, 0, 19, 0, 19, 2324, 7516, 32, 6174, 2156, 4601, 3019, 4434, 1327, 1049, 2403, 4557, 3446, 162, 1183, 1967, 6795, 15, 1009, 12534, 4763, 1009, 15884, 32, 2434, 3236, 1005, 3279, 9584, 1631, 1327, 1132, 20168, 2917, 1060, 4575, 1009, 13440, 1009, 15884, 5721, 26331, 32, 15844, 2059, 1068, 8748, 1072, 6332, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 8556, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 26384, 2702, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 7340, 1044, 4941, 1118, 6455, 1068, 1044, 5399, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 16689, 14, 1182, 1013, 1054, 2360, 8227, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 58, 1753, 1262, 1034, 3528, 3734, 10148, 19310, 1118, 1581, 2650, 6885, 1040, 19715, 26737, 2555, 2315, 29326, 3330, 12209, 88, 1573, 1054, 19266, 1080, 1258, 1377, 1128, 27878, 1009, 22406, 1044, 24092, 17540, 1874, 1890, 1006, 21155, 1026, 1048, 1160, 1195, 19992, 1118, 8471, 1009, 22522, 2744, 1072, 1784, 22489, 1084, 1058, 3971, 1026, 11536, 1852, 3987, 18395, 1034, 1495, 1026, 3603, 1005, 18293, 1049, 1050, 20131, 2924, 19266, 1566, 30698, 18, 2924, 16362, 1080, 9233, 1288, 1026, 3182, 18533, 1048, 1298, 1294, 4480, 1006, 17540, 3411, 2072, 31488, 2950, 8530, 24092, 11397, 1019, 3478, 2930, 1908, 21813, 1009, 3010, 1182, 1024, 1573, 10860, 7135, 1870, 1044, 2143, 3360, 1009, 25813, 1129, 1573, 1043, 28891, 2287, 1311, 1051, 4650, 2088, 2928, 1544, 1048, 1160, 3675, 1975, 1048, 1132, 5635, 1327, 9734, 8117, 1391, 1009, 9209, 1048, 9491, 1040, 6286, 5844, 10158, 2088, 16997, 1010, 1060, 7245, 2645, 1052, 1178, 22192, 1370, 1096, 4230, 1493, 12554, 7, 1349, 1026, 1784, 8447, 1159, 31057, 1034, 1005, 12356, 16135, 22522, 12209, 88, 1573, 1114, 5297, 28223, 1054, 19266, 1080, 9233, 16427, 1118, 22417, 1010, 3194, 1400, 1309, 1043, 15827, 4230, 32, 1026, 3435, 1060, 3028, 5342, 20700, 1602, 25626, 1054, 13782, 8677, 20103, 1166, 1118, 2266, 1005, 1289, 17576, 1173, 1550, 7010, 4619, 2369, 1227, 4492, 1365, 2089, 1025, 1036, 1146, 3035, 8958, 1016, 1026, 2733, 1049, 1558, 2351, 2920, 3723, 1009, 1033, 1956, 1324, 1006, 29581, 2920, 4917, 1009, 1098, 1446, 2207, 20, 1084, 12950, 1048, 1033, 1956, 1018, 1005, 1098, 1446, 17831, 1327, 18764, 76, 175, 77, 1333, 1068, 4379, 3729, 2147, 3746, 1361, 15345, 5816, 1160, 1837, 27805, 1327, 2653, 1132, 11445, 1554, 6126, 4614, 1048, 1325, 2979, 3987, 16362, 1005, 5224, 2464, 24111, 2502, 1114, 1634, 1087, 2063, 10791, 1046, 1322, 2739, 18288, 96, 1728, 5139, 1752, 1044, 18297, 1224, 1359, 5842, 1235, 15827, 2904, 1046, 29779, 5192, 1009, 5220, 6106, 2170, 1118, 3005, 3002, 3659, 1305, 3245, 1585, 4261, 1566, 1160, 2449, 9305, 14307, 3048, 24772, 1294, 10637, 2565, 1493, 2444, 1006, 21396, 8443, 1068, 3871, 1026, 1884, 2087, 4475, 1067, 1477, 28223, 1495, 1571, 5115, 6622, 1026, 4410, 1060, 7763, 1078, 3097, 1495, 1571, 22655, 6622, 1357, 2348, 1011, 1780, 5097, 1961, 1495, 1571, 6581, 3871, 1026, 5496, 1049, 13353, 9718, 2656, 10446, 1100, 3702, 13341, 6968, 1006, 1712, 1751, 1049, 2574, 1048, 12560, 1068, 4560, 20766, 1005, 10963, 23860, 1049, 1048, 1760, 1089, 1068, 16021, 1495, 2307, 13906, 1026, 2738, 1005, 1026, 2822, 3987, 3633, 18395, 1411, 5833, 13233, 1005, 1963, 4975, 1322, 1132, 19305, 12533, 17881, 1650, 1166, 2373, 84, 4628, 4324, 3729, 85, 1044, 6440, 12567, 2017, 3509, 23708, 28608, 1084, 3675, 1100, 1043, 2348, 5844, 1896, 29853, 1048, 1096, 2237, 4581, 1006, 9967, 2751, 1049, 1026, 2181, 1017, 1322, 2092, 7155, 20, 7527, 2094, 24395, 11267, 18, 3195, 1060, 14595, 1060, 11518, 20, 20804, 10543, 4456, 1041, 6802, 1006, 14025, 18, 12219, 2219, 1648, 1006, 14712, 1049, 29381, 1006, 4188, 1060, 8452, 9541, 1006, 1871, 1009, 9179, 5645, 4087, 1068, 1048, 1294, 2384, 1604, 1508, 20435, 3021, 1220, 2130, 29413, 19306, 3987, 16362, 1357, 19266, 3806, 6220, 1138, 2143, 1325, 27425, 1005, 12604, 7003, 1009, 1011, 1822, 4205, 1400, 15820, 1118, 4614, 1048, 24986, 8326, 1009, 5556, 1005, 1118, 9734, 1008, 11199, 1048, 2574, 1058, 3410, 1046, 1043, 1132, 12477, 1010, 1048, 5426, 10034, 12004, 2468, 3144, 4919, 1022, 1689, 5711, 1027, 10791, 1157, 1322, 10963, 1548, 10040, 6875, 1579, 28376, 13520, 2289, 1009, 20831, 1173, 1361, 1213, 4241, 1009, 20878, 12871, 1048, 2373, 2838, 1040, 626, 1005, 1048, 1160, 1826, 1365, 1124, 5426, 14495, 1009, 4537, 1213, 5675, 7, 3564, 13701, 1009, 2593, 2383, 1263, 1005, 16952, 1667, 6883, 11346, 1006, 15779, 1096, 5565, 1140, 12533, 1423, 3240, 1006, 1460, 7300, 17158, 1213, 1419, 2717, 2565, 4304, 80, 1320, 2565, 5353, 1005, 1006, 26984, 1034, 3904, 3994, 1726, 21356, 1394, 1187, 3770, 1271, 2452, 1728, 11595, 3378, 1394, 2252, 1048, 1294, 27100, 1054, 2497, 1009, 29413, 1346, 2170, 1395, 2602, 3240, 1009, 6728, 2904, 1046, 29779, 1322, 2348, 1359, 5842, 4540, 3994, 1717, 1124, 10738, 3273, 1717, 1006, 12947, 1271, 5717, 1273, 1026, 1169, 5165, 3784, 1132, 10963, 1548, 10040, 6875, 1006, 3971, 1009, 7176, 20, 21841, 15827, 1006, 1184, 10637, 2565, 1184, 23267, 1184, 13654, 20, 23672, 1021, 1599, 4647, 1184, 21177, 7, 4634, 6644, 7, 9831, 1829, 4921, 4647, 2818, 51, 8192, 4071, 29812, 20, 1084, 1118, 2289, 3005, 3587, 1357, 6685, 1009, 1622, 5522, 1005, 4054, 1006, 1834, 1159, 2381, 1100, 1048, 2348, 19266, 29413, 1041, 5160, 1080, 1258, 1126, 1015, 169, 76, 13214, 1005, 16114, 94, 1532, 14166, 1225, 10840, 2285, 1005, 5675, 20, 1084, 1058, 1299, 4064, 1495, 2307, 1566, 4337, 32, 2092, 11273, 1096, 10790, 14811, 1138, 5675, 37, 25773, 18395, 1242, 1322, 16619, 1080, 1258, 1273, 15345, 11825, 1229, 1160, 2177, 4445, 5721, 26331, 32, 15844, 2059, 1068, 8748, 1072, 6332, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 8556, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 26384, 2702, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 7340, 1044, 4941, 1118, 6455, 1068, 1044, 5399, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 16689, 14, 1182, 1013, 1054, 2360, 8227, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 17908, 6432, 1187, 6061, 3052, 7759, 3528, 3939, 10546, 9699, 1118, 1581, 2650, 6885, 1040, 19715, 26737, 24, 17594, 2555, 14323, 1026, 1561, 2374, 1072, 5108, 1005, 22637, 2745, 1026, 1908, 1043, 1184, 7857, 1888, 0, 1305, 17690, 20, 1138, 13366, 1096, 25628, 9175, 3134, 1094, 5266, 24554, 24176, 1206, 5417, 5471, 1030, 5201, 1005, 2635, 1889, 1005, 1566, 1096, 9413, 6118, 1278, 1043, 1044, 32, 26531, 3834, 11281, 26236, 7, 8226, 6126, 4278, 1054, 1048, 1026, 7605, 2784, 3419, 1009, 1044, 3759, 88, 1627, 1318, 6706, 1026, 3479, 1114, 1871, 1009, 4618, 2170, 1429, 3342, 3240, 7616, 2373, 74, 1079, 1922, 14280, 8226, 4685, 1837, 7653, 1054, 1048, 1026, 5038, 1100, 18359, 1068, 3365, 1599, 8666, 1044, 5118, 1939, 6023, 1206, 2243, 1304, 1005, 0, 2373, 1534, 5266, 12013, 26236, 7, 626, 8018, 1437, 4140, 6082, 1915, 1126, 1096, 21784, 1009, 1622, 33, 6021, 2088, 11130, 13724, 1166, 1006, 1160, 4646, 7142, 1026, 16194, 22742, 1046, 1026, 4318, 1679, 1048, 1160, 24905, 3048, 8326, 1068, 4883, 1989, 1155, 4140, 3048, 1068, 6622, 1094, 24825, 6365, 32, 1551, 28114, 1495, 2128, 6955, 1132, 7178, 1596, 3181, 1166, 16915, 2309, 4653, 26353, 1273, 1048, 1294, 9751, 1044, 1908, 24152, 4356, 1225, 1240, 72, 1087, 1061, 2439, 1385, 1157, 1048, 1006, 4044, 1160, 1096, 2939, 8175, 1565, 1084, 16678, 1006, 22074, 1124, 14766, 18059, 8579, 16205, 1006, 1345, 2162, 1024, 1124, 20263, 1048, 15666, 1072, 1908, 3994, 1043, 1132, 29004, 8061, 1127, 3983, 1766, 1184, 12140, 1166, 2392, 2241, 1054, 3032, 9390, 29370, 1561, 2469, 1006, 4614, 5662, 2220, 1026, 4604, 1096, 2637, 5313, 18210, 1228, 1269, 1160, 22602, 11116, 1734, 6639, 11186, 1043, 9475, 1734, 1006, 7657, 12859, 0, 1063, 9015, 1009, 1578, 3531, 8990, 1792, 11597, 17897, 1005, 17266, 1006, 1664, 1132, 10385, 8465, 1254, 1846, 1060, 13321, 7512, 7, 1565, 1603, 8316, 1800, 1006, 3780, 1049, 25609, 1009, 7976, 2414, 1048, 1294, 15027, 1048, 4319, 12540, 25, 2744, 1009, 3731, 11300, 28765, 4800, 16529, 1048, 2271, 1578, 3531, 1160, 3631, 21104, 1006, 9015, 6164, 20, 1138, 2339, 1054, 9812, 1187, 1578, 1254, 18926, 1132, 6543, 1009, 6782, 20, 1144, 1262, 1273, 1026, 10031, 15715, 23411, 1890, 16089, 3251, 4844, 7672, 2155, 3417, 1009, 7726, 1009, 26236, 1006, 1044, 13366, 2072, 2392, 4756, 37, 8384, 1048, 1026, 11091, 1710, 4624, 1271, 6296, 1159, 25628, 20, 15361, 17577, 1096, 1026, 11091, 7050, 1069, 7, 1138, 2623, 1095, 1905, 1160, 3855, 2668, 3475, 1006, 7726, 1026, 13366, 1009, 26236, 0, 4073, 1058, 1261, 1094, 4840, 1060, 4493, 1049, 3344, 2784, 1054, 2930, 6402, 30221, 1213, 10070, 0, 6168, 2170, 1169, 89, 1400, 3186, 14629, 1412, 6782, 20, 1128, 1662, 4787, 9031, 1400, 1026, 1048, 1195, 1305, 1261, 1015, 2647, 1318, 14629, 1079, 3344, 2784, 1026, 1048, 3011, 1461, 1068, 3295, 2373, 74, 1079, 3052, 626, 1114, 11990, 37, 2656, 20, 5113, 26954, 1657, 1791, 15714, 8489, 1202, 19517, 8169, 1392, 1068, 3360, 32, 12335, 23554, 1005, 10340, 4115, 2652, 4333, 1132, 3682, 5730, 18289, 6683, 1009, 2089, 3905, 4319, 1044, 3872, 7857, 2212, 1026, 6318, 7980, 8572, 21511, 1138, 6023, 1180, 1093, 4390, 1468, 23320, 1041, 15767, 81, 1195 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17688, 1009, 1249, 1014, 4882, 7, 2343, 4719, 1009, 1086, 3903, 4385, 25786, 19670, 9140, 8135, 1026, 1344, 2145, 1100, 1049, 26784, 1005, 1503, 1533, 19304, 1005, 2173, 1140, 2231, 4138, 25622, 3276, 16020, 1048, 4480, 8587, 8134, 2848, 73, 1361, 1646, 1068, 1294, 4531, 1800, 22903, 3983, 12878, 12049, 1048, 2231, 4138, 2257, 4399, 3320, 2343, 4719, 1048, 1132, 2373, 1418, 1035, 1292, 1093, 7178, 626, 1026, 1131, 1648, 1096, 1026, 3124, 1009, 1048, 1006, 25753, 3364, 1009, 1783, 1048, 8708, 9446, 1068, 11270, 12990, 2246, 1006, 1834, 1054, 1456, 4290, 1009, 4599, 1516, 1094, 16130, 1196, 7, 9528, 1058, 20980, 15445, 7, 3845, 3923, 7, 10497, 3634, 27707, 1787, 1006, 5338, 1009, 15361, 1154, 3022, 1026, 2403, 1054, 1048, 1006, 2979, 1042, 1239, 20279, 1118, 12823, 1699, 1128, 3294, 5510, 1044, 10378, 1114, 2519, 1986, 16529, 1178, 4260, 1679, 25546, 1223, 13148, 2340, 3904, 1049, 19977, 1096, 2373, 1418, 1035, 1292, 1034, 8226, 1071, 19946, 22198, 1043, 1006, 11028, 1060, 2413, 3821, 1322, 1132, 7533, 20570, 1118, 10790, 0, 16075, 8358, 1871, 1009, 4260, 1149, 1096, 1026, 3707, 2373, 45, 1091, 1009, 1680, 8226, 5841, 30171, 4666, 6402, 15402, 6989, 1930, 8439, 1930, 6867, 4492, 12016, 1930, 2623, 1302, 1130, 0, 1138, 1048, 27173, 1096, 2551, 1012, 1024, 1005, 2071, 18764, 76, 175, 77, 1333, 1068, 4054, 1054, 13782, 11551, 3592, 3469, 1114, 27966, 1021, 3843, 1163, 1091, 1009, 1680, 26909, 10272, 1870, 1213, 13150, 1009, 1178, 20, 29074, 3869, 1046, 28182, 3680, 5036, 9138, 1961, 4031, 27100, 1583, 2917, 75, 5018, 8107, 3680, 5036, 8019, 2873, 1212, 11871, 1005, 4682, 1006, 2869, 1009, 3469, 1048, 4011, 1381, 1068, 12016, 1024, 1026, 1557, 1998, 10857, 5219, 1026, 11974, 1060, 6644, 20, 1776, 8435, 1837, 1783, 1048, 6910, 1040, 1006, 5293, 1071, 4255, 1160, 10857, 2598, 37, 1349, 3702, 10080, 1837, 3251, 26245, 1206, 8435, 6660, 1114, 5519, 2275, 1138, 7836, 1005, 1240, 1088, 1629, 26067, 1054, 2869, 1679, 19811, 7, 6416, 1508, 15075, 1044, 3041, 26472, 1147, 1043, 1026, 2742, 2277, 13622, 1271, 6283, 24260, 20, 1084, 1159, 1124, 17584, 1009, 7769, 1005, 15525, 1160, 1225, 2281, 1124, 2540, 2905, 1206, 4626, 3273, 1006, 8509, 1096, 4537, 1800, 7024, 1049, 15325, 1364, 1667, 1063, 3961, 1325, 1703, 14570, 7, 10255, 1416, 7, 2358, 16507, 2315, 3794, 14675, 1098, 2527, 1095, 1554, 1138, 1048, 3449, 2822, 1049, 1784, 2155, 18541, 6392, 1043, 1026, 1831, 2666, 1060, 3595, 1049, 4819, 20, 2013, 4918, 1048, 5544, 8667, 1024, 5832, 7663, 1009, 1044, 2017, 1779, 2311, 1083, 7, 9528, 8677, 22522, 1853, 3246, 1049, 5108, 8900, 1184, 1044, 7248, 2155, 11860, 1068, 5525, 1132, 17492, 2602, 1005, 3647, 1124, 3469, 1159, 1327, 20, 1084, 1616, 10094, 1096, 14969, 4908, 4434, 4995, 18899, 1089, 2350, 9001, 1273, 1309, 9011, 2445, 2080, 1473, 1728, 6126, 2089, 1005, 1058, 4327, 9578, 11971, 1005, 3754, 2688, 1327, 1503, 29867, 1370, 20, 18935, 1026, 1048, 1160, 10857, 1054, 10312, 24884, 2402, 13141, 1088, 88, 2647, 1096, 1094, 12831, 4557, 3446, 162, 24814, 3953, 20467, 1213, 1050, 5068, 1449, 1606, 1034, 1007, 7, 1505, 1616, 4540, 9135, 1118, 13765, 1063, 1803, 1048, 23325, 3916, 5848, 19, 0, 19, 0, 19, 0, 19, 0, 19, 0, 19, 0, 19, 0, 19, 2324, 7516, 32, 6174, 2156, 4601, 3019, 4434, 1327, 1049, 2403, 4557, 3446, 162, 1183, 1967, 6795, 15, 1009, 12534, 4763, 1009, 15884, 32, 2434, 3236, 1005, 3279, 9584, 1631, 1327, 1132, 20168, 2917, 1060, 4575, 1009, 13440, 1009, 15884, 5721, 26331, 32, 15844, 2059, 1068, 8748, 1072, 6332, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 8556, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 26384, 2702, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 7340, 1044, 4941, 1118, 6455, 1068, 1044, 5399, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 16689, 14, 1182, 1013, 1054, 2360, 8227, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 58, 1753, 1262, 1034, 3528, 3734, 10148, 19310, 1118, 1581, 2650, 6885, 1040, 19715, 26737, 2555, 2315, 29326, 3330, 12209, 88, 1573, 1054, 19266, 1080, 1258, 1377, 1128, 27878, 1009, 22406, 1044, 24092, 17540, 1874, 1890, 1006, 21155, 1026, 1048, 1160, 1195, 19992, 1118, 8471, 1009, 22522, 2744, 1072, 1784, 22489, 1084, 1058, 3971, 1026, 11536, 1852, 3987, 18395, 1034, 1495, 1026, 3603, 1005, 18293, 1049, 1050, 20131, 2924, 19266, 1566, 30698, 18, 2924, 16362, 1080, 9233, 1288, 1026, 3182, 18533, 1048, 1298, 1294, 4480, 1006, 17540, 3411, 2072, 31488, 2950, 8530, 24092, 11397, 1019, 3478, 2930, 1908, 21813, 1009, 3010, 1182, 1024, 1573, 10860, 7135, 1870, 1044, 2143, 3360, 1009, 25813, 1129, 1573, 1043, 28891, 2287, 1311, 1051, 4650, 2088, 2928, 1544, 1048, 1160, 3675, 1975, 1048, 1132, 5635, 1327, 9734, 8117, 1391, 1009, 9209, 1048, 9491, 1040, 6286, 5844, 10158, 2088, 16997, 1010, 1060, 7245, 2645, 1052, 1178, 22192, 1370, 1096, 4230, 1493, 12554, 7, 1349, 1026, 1784, 8447, 1159, 31057, 1034, 1005, 12356, 16135, 22522, 12209, 88, 1573, 1114, 5297, 28223, 1054, 19266, 1080, 9233, 16427, 1118, 22417, 1010, 3194, 1400, 1309, 1043, 15827, 4230, 32, 1026, 3435, 1060, 3028, 5342, 20700, 1602, 25626, 1054, 13782, 8677, 20103, 1166, 1118, 2266, 1005, 1289, 17576, 1173, 1550, 7010, 4619, 2369, 1227, 4492, 1365, 2089, 1025, 1036, 1146, 3035, 8958, 1016, 1026, 2733, 1049, 1558, 2351, 2920, 3723, 1009, 1033, 1956, 1324, 1006, 29581, 2920, 4917, 1009, 1098, 1446, 2207, 20, 1084, 12950, 1048, 1033, 1956, 1018, 1005, 1098, 1446, 17831, 1327, 18764, 76, 175, 77, 1333, 1068, 4379, 3729, 2147, 3746, 1361, 15345, 5816, 1160, 1837, 27805, 1327, 2653, 1132, 11445, 1554, 6126, 4614, 1048, 1325, 2979, 3987, 16362, 1005, 5224, 2464, 24111, 2502, 1114, 1634, 1087, 2063, 10791, 1046, 1322, 2739, 18288, 96, 1728, 5139, 1752, 1044, 18297, 1224, 1359, 5842, 1235, 15827, 2904, 1046, 29779, 5192, 1009, 5220, 6106, 2170, 1118, 3005, 3002, 3659, 1305, 3245, 1585, 4261, 1566, 1160, 2449, 9305, 14307, 3048, 24772, 1294, 10637, 2565, 1493, 2444, 1006, 21396, 8443, 1068, 3871, 1026, 1884, 2087, 4475, 1067, 1477, 28223, 1495, 1571, 5115, 6622, 1026, 4410, 1060, 7763, 1078, 3097, 1495, 1571, 22655, 6622, 1357, 2348, 1011, 1780, 5097, 1961, 1495, 1571, 6581, 3871, 1026, 5496, 1049, 13353, 9718, 2656, 10446, 1100, 3702, 13341, 6968, 1006, 1712, 1751, 1049, 2574, 1048, 12560, 1068, 4560, 20766, 1005, 10963, 23860, 1049, 1048, 1760, 1089, 1068, 16021, 1495, 2307, 13906, 1026, 2738, 1005, 1026, 2822, 3987, 3633, 18395, 1411, 5833, 13233, 1005, 1963, 4975, 1322, 1132, 19305, 12533, 17881, 1650, 1166, 2373, 84, 4628, 4324, 3729, 85, 1044, 6440, 12567, 2017, 3509, 23708, 28608, 1084, 3675, 1100, 1043, 2348, 5844, 1896, 29853, 1048, 1096, 2237, 4581, 1006, 9967, 2751, 1049, 1026, 2181, 1017, 1322, 2092, 7155, 20, 7527, 2094, 24395, 11267, 18, 3195, 1060, 14595, 1060, 11518, 20, 20804, 10543, 4456, 1041, 6802, 1006, 14025, 18, 12219, 2219, 1648, 1006, 14712, 1049, 29381, 1006, 4188, 1060, 8452, 9541, 1006, 1871, 1009, 9179, 5645, 4087, 1068, 1048, 1294, 2384, 1604, 1508, 20435, 3021, 1220, 2130, 29413, 19306, 3987, 16362, 1357, 19266, 3806, 6220, 1138, 2143, 1325, 27425, 1005, 12604, 7003, 1009, 1011, 1822, 4205, 1400, 15820, 1118, 4614, 1048, 24986, 8326, 1009, 5556, 1005, 1118, 9734, 1008, 11199, 1048, 2574, 1058, 3410, 1046, 1043, 1132, 12477, 1010, 1048, 5426, 10034, 12004, 2468, 3144, 4919, 1022, 1689, 5711, 1027, 10791, 1157, 1322, 10963, 1548, 10040, 6875, 1579, 28376, 13520, 2289, 1009, 20831, 1173, 1361, 1213, 4241, 1009, 20878, 12871, 1048, 2373, 2838, 1040, 626, 1005, 1048, 1160, 1826, 1365, 1124, 5426, 14495, 1009, 4537, 1213, 5675, 7, 3564, 13701, 1009, 2593, 2383, 1263, 1005, 16952, 1667, 6883, 11346, 1006, 15779, 1096, 5565, 1140, 12533, 1423, 3240, 1006, 1460, 7300, 17158, 1213, 1419, 2717, 2565, 4304, 80, 1320, 2565, 5353, 1005, 1006, 26984, 1034, 3904, 3994, 1726, 21356, 1394, 1187, 3770, 1271, 2452, 1728, 11595, 3378, 1394, 2252, 1048, 1294, 27100, 1054, 2497, 1009, 29413, 1346, 2170, 1395, 2602, 3240, 1009, 6728, 2904, 1046, 29779, 1322, 2348, 1359, 5842, 4540, 3994, 1717, 1124, 10738, 3273, 1717, 1006, 12947, 1271, 5717, 1273, 1026, 1169, 5165, 3784, 1132, 10963, 1548, 10040, 6875, 1006, 3971, 1009, 7176, 20, 21841, 15827, 1006, 1184, 10637, 2565, 1184, 23267, 1184, 13654, 20, 23672, 1021, 1599, 4647, 1184, 21177, 7, 4634, 6644, 7, 9831, 1829, 4921, 4647, 2818, 51, 8192, 4071, 29812, 20, 1084, 1118, 2289, 3005, 3587, 1357, 6685, 1009, 1622, 5522, 1005, 4054, 1006, 1834, 1159, 2381, 1100, 1048, 2348, 19266, 29413, 1041, 5160, 1080, 1258, 1126, 1015, 169, 76, 13214, 1005, 16114, 94, 1532, 14166, 1225, 10840, 2285, 1005, 5675, 20, 1084, 1058, 1299, 4064, 1495, 2307, 1566, 4337, 32, 2092, 11273, 1096, 10790, 14811, 1138, 5675, 37, 25773, 18395, 1242, 1322, 16619, 1080, 1258, 1273, 15345, 11825, 1229, 1160, 2177, 4445, 5721, 26331, 32, 15844, 2059, 1068, 8748, 1072, 6332, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 8556, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 26384, 2702, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 7340, 1044, 4941, 1118, 6455, 1068, 1044, 5399, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 16689, 14, 1182, 1013, 1054, 2360, 8227, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 17908, 6432, 1187, 6061, 3052, 7759, 3528, 3939, 10546, 9699, 1118, 1581, 2650, 6885, 1040, 19715, 26737, 24, 17594, 2555, 14323, 1026, 1561, 2374, 1072, 5108, 1005, 22637, 2745, 1026, 1908, 1043, 1184, 7857, 1888, 0, 1305, 17690, 20, 1138, 13366, 1096, 25628, 9175, 3134, 1094, 5266, 24554, 24176, 1206, 5417, 5471, 1030, 5201, 1005, 2635, 1889, 1005, 1566, 1096, 9413, 6118, 1278, 1043, 1044, 32, 26531, 3834, 11281, 26236, 7, 8226, 6126, 4278, 1054, 1048, 1026, 7605, 2784, 3419, 1009, 1044, 3759, 88, 1627, 1318, 6706, 1026, 3479, 1114, 1871, 1009, 4618, 2170, 1429, 3342, 3240, 7616, 2373, 74, 1079, 1922, 14280, 8226, 4685, 1837, 7653, 1054, 1048, 1026, 5038, 1100, 18359, 1068, 3365, 1599, 8666, 1044, 5118, 1939, 6023, 1206, 2243, 1304, 1005, 0, 2373, 1534, 5266, 12013, 26236, 7, 626, 8018, 1437, 4140, 6082, 1915, 1126, 1096, 21784, 1009, 1622, 33, 6021, 2088, 11130, 13724, 1166, 1006, 1160, 4646, 7142, 1026, 16194, 22742, 1046, 1026, 4318, 1679, 1048, 1160, 24905, 3048, 8326, 1068, 4883, 1989, 1155, 4140, 3048, 1068, 6622, 1094, 24825, 6365, 32, 1551, 28114, 1495, 2128, 6955, 1132, 7178, 1596, 3181, 1166, 16915, 2309, 4653, 26353, 1273, 1048, 1294, 9751, 1044, 1908, 24152, 4356, 1225, 1240, 72, 1087, 1061, 2439, 1385, 1157, 1048, 1006, 4044, 1160, 1096, 2939, 8175, 1565, 1084, 16678, 1006, 22074, 1124, 14766, 18059, 8579, 16205, 1006, 1345, 2162, 1024, 1124, 20263, 1048, 15666, 1072, 1908, 3994, 1043, 1132, 29004, 8061, 1127, 3983, 1766, 1184, 12140, 1166, 2392, 2241, 1054, 3032, 9390, 29370, 1561, 2469, 1006, 4614, 5662, 2220, 1026, 4604, 1096, 2637, 5313, 18210, 1228, 1269, 1160, 22602, 11116, 1734, 6639, 11186, 1043, 9475, 1734, 1006, 7657, 12859, 0, 1063, 9015, 1009, 1578, 3531, 8990, 1792, 11597, 17897, 1005, 17266, 1006, 1664, 1132, 10385, 8465, 1254, 1846, 1060, 13321, 7512, 7, 1565, 1603, 8316, 1800, 1006, 3780, 1049, 25609, 1009, 7976, 2414, 1048, 1294, 15027, 1048, 4319, 12540, 25, 2744, 1009, 3731, 11300, 28765, 4800, 16529, 1048, 2271, 1578, 3531, 1160, 3631, 21104, 1006, 9015, 6164, 20, 1138, 2339, 1054, 9812, 1187, 1578, 1254, 18926, 1132, 6543, 1009, 6782, 20, 1144, 1262, 1273, 1026, 10031, 15715, 23411, 1890, 16089, 3251, 4844, 7672, 2155, 3417, 1009, 7726, 1009, 26236, 1006, 1044, 13366, 2072, 2392, 4756, 37, 8384, 1048, 1026, 11091, 1710, 4624, 1271, 6296, 1159, 25628, 20, 15361, 17577, 1096, 1026, 11091, 7050, 1069, 7, 1138, 2623, 1095, 1905, 1160, 3855, 2668, 3475, 1006, 7726, 1026, 13366, 1009, 26236, 0, 4073, 1058, 1261, 1094, 4840, 1060, 4493, 1049, 3344, 2784, 1054, 2930, 6402, 30221, 1213, 10070, 0, 6168, 2170, 1169, 89, 1400, 3186, 14629, 1412, 6782, 20, 1128, 1662, 4787, 9031, 1400, 1026, 1048, 1195, 1305, 1261, 1015, 2647, 1318, 14629, 1079, 3344, 2784, 1026, 1048, 3011, 1461, 1068, 3295, 2373, 74, 1079, 3052, 626, 1114, 11990, 37, 2656, 20, 5113, 26954, 1657, 1791, 15714, 8489, 1202, 19517, 8169, 1392, 1068, 3360, 32, 12335, 23554, 1005, 10340, 4115, 2652, 4333, 1132, 3682, 5730, 18289, 6683, 1009, 2089, 3905, 4319, 1044, 3872, 7857, 2212, 1026, 6318, 7980, 8572, 21511, 1138, 6023, 1180, 1093, 4390, 1468, 23320, 1041, 15767, 81, 1195 ]

[ 1009, 2809, 14770, 2527, 1325, 1702, 2326, 1009, 12667, 4262, 6328, 3386, 2179, 6561, 1246, 24767, 2441, 4591, 14839, 6561, 5557, 3386, 1011, 90, 94, 1246, 3217, 30628, 2640, 10136, 2441, 24, 42, 20060, 3386, 1086, 1174, 6348, 1246, 25529, 10688, 10823, 77, 1174, 11987, 1174, 7642, 3386, 1086, 1174, 1246, 2017, 1086, 1174, 14746, 675, 675, 675, 19520, 1248, 3290, 32, 14475, 1174, 20, 7280, 2652, 9717, 6526, 675, 675, 675, 29297, 3217, 30628, 9119, 2007, 675, 675, 675, 24450, 3217, 30628, 15570, 5, 31459, 77, 1174, 27783, 2996, 19870, 1069, 2820, 2562, 1071, 1245, 1193, 15, 1824, 675, 675, 675, 2254, 2963, 51, 77, 1246, 4227, 18172, 3625, 675, 675, 675, 18484, 3677, 5676, 1246, 3764, 11488, 13572, 9796, 6348, 1071, 1245, 1193, 1621, 675, 675, 675, 1011, 90, 5953, 74, 8803, 14187, 1071, 9237, 18, 3519, 1559, 1621, 99, 22425, 1868, 27441, 1026, 2658, 1163, 11326, 1005, 14104, 1752, 6980, 1233, 6855, 1086, 1174, 3864, 6599, 3386, 2311, 12789, 1246, 2017, 11727, 46, 5331, 54, 14463, 3625, 94, 78, 2459, 15064, 2441, 2640, 1406, 1086, 1174, 1189, 5972, 7448, 1621, 62, 25632, 8776, 11805, 31311, 4436, 63, 13800, 1246, 2951, 88, 4602, 40, 10211, 7642, 94, 78, 2459, 1081, 4821, 1246, 9025, 2061, 1824, 675, 675, 675, 2254, 20363, 14443, 1246, 2017, 6004, 1203, 30, 14443, 12112, 78, 2459, 15832, 1621, 675, 675, 675, 2254, 1086, 1174, 25186, 1246, 4227, 1163, 1174, 25186, 1071, 4387, 1133, 14889, 1621, 675, 675, 675, 1086, 1174, 4892, 2652, 76, 1202, 1018, 6269, 1667, 17705, 2450, 13950, 4593, 9206, 16555, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2254, 1134, 1202, 1046, 1171, 1889, 1246, 1086, 1174, 4892, 2652, 2036, 1354, 39, 1037, 40, 82, 1041, 44, 1202, 1827, 2841, 4015, 9206, 9548, 1667, 1038, 6036, 19958, 62, 1621, 675, 675, 675, 675, 675, 675, 675, 1086, 1174, 14953, 23782, 4015, 1202, 1046, 1171, 11824, 1562, 74, 1623, 14642, 1033, 9206, 9548, 1667, 74, 1623, 95, 3125, 1782, 15918, 675, 675, 675, 10804, 675, 675, 675, 1086, 1174, 20, 27483, 3625, 23512, 94, 78, 2459, 20274, 3625, 2676, 23323, 2326, 5471, 1086, 1174, 15318, 1068, 2837, 1044, 2017, 3820, 1163, 11326, 1005, 5047, 1752, 6980, 1049, 2658, 1086, 1174, 1006, 1264, 4964, 4702, 20301, 1026, 1163, 11326, 10551, 1006, 31520, 1005, 1169, 2178, 1006, 3289, 1852, 1068, 1026, 5212, 3217, 92, 19724, 4336, 1741, 39, 4822, 1135, 70, 1096, 5483, 1068, 5149, 1026, 15069, 1365, 1752, 3516, 2586, 1068, 1048, 1006, 10352, 2374, 12549, 1236, 1114, 6187, 10758, 19425, 1048, 1668, 2326, 13350, 1048, 1299, 1566, 5227, 1079, 1006, 6855, 1163, 11326, 11001, 57, 1005, 1048, 1026, 2658, 1741, 77, 1174, 20, 7280, 2652, 9717, 70, 1325, 1072, 1592, 8286, 1048, 1224, 3922, 1060, 4583, 5080, 1318, 1298, 8307, 12909, 1026, 4466, 1060, 6046, 1005, 1734, 9658, 1068, 16958, 1213, 1235, 2535, 1009, 2490, 26656, 675, 2, 1257, 18466, 1058, 12909, 1026, 4466, 1060, 6046, 1005, 1734, 9658, 1068, 16958, 1213, 1235, 2535, 1009, 2490, 7347, 1213, 11062, 1044, 1163, 11326, 22067, 1054, 6046, 2301, 1086, 1174, 15318, 27990, 12909, 1026, 4466, 1060, 23315, 1299, 1298, 8924, 1124, 6847, 1009, 8759, 1005, 4464, 1049, 5212, 3217, 6561, 1072, 1235, 2326, 10005, 5790, 3018, 1058, 1299, 5902, 1048, 1224, 6046, 3241, 6514, 17858, 9243, 1009, 8759, 1005, 7780, 17858, 9243, 1009, 15207, 1299, 1274, 1461, 4262, 22253, 14839, 6561, 1564, 1246, 25529, 14839, 6561, 8, 18214, 1246, 1150, 9238, 8, 4464, 1246, 1150, 18242, 4495, 1260, 82, 6561, 18114, 22862, 3683, 2668, 1299, 1298, 12909, 1734, 9658, 1072, 3820, 1163, 47, 9472, 1159, 1006, 1359, 1009, 20005, 1026, 2285, 1009, 8458, 89, 1005, 1006, 3450, 1060, 3289, 1009, 4701, 22452, 9658, 1327, 17517, 2301, 1026, 3820, 18792, 1213, 2837, 1026, 3820, 1163, 11326, 5790, 3018, 1068, 5149, 1006, 1359, 1009, 4249, 1068, 1026, 6548, 1005, 1026, 2285, 1009, 8458, 89, 1159, 11011, 2784, 1299, 1274, 1461, 4262, 6328, 3386, 1086, 1174, 1246, 2017, 1086, 1174, 14746, 675, 675, 675, 2487, 17793, 32, 1538, 9, 27972, 2958, 7373, 675, 675, 675, 3673, 1497, 32, 21973, 28328, 5750, 2066, 1298, 2808, 1094, 2919, 6066, 1009, 3918, 1114, 10477, 1086, 1174, 3864, 1916, 6666, 7773, 1048, 2350, 3918, 1693, 1160, 1178, 11924, 1312, 1118, 1664, 1132, 25963, 1206, 7707, 1049, 1163, 11326, 11001, 57, 33, 5819, 1299, 1976, 11140, 1235, 2326, 28450, 10442, 1278, 1068, 3871, 1048, 1264, 23639, 5219, 1026, 2540, 9780, 1, 20563, 1026, 2511, 2859, 1009, 20807, 31959, 1026, 2859, 1054, 1094, 26852, 1124, 10623, 1596, 6674, 1312, 1357, 9394, 1060, 13920, 1005, 4440, 1009, 3997, 23087, 15398, 9344, 1048, 4343, 1717, 6264, 6842, 1322, 22398, 1704, 1831, 1175, 10209, 1142, 7011, 1142, 1816, 4138, 1123, 20640, 2789, 1051, 7600, 1026, 4367, 1009, 8701, 2743, 1009, 3940, 1184, 8205, 1255, 1444, 1188, 1060, 2042, 1060, 17760, 8, 24009, 1518, 3224, 1048, 1026, 2743, 2374, 30930, 1072, 1852, 1049, 3681, 1704, 2671, 16068, 1114, 6282, 11999, 1094, 3364, 13639, 1006, 8383, 1006, 9834, 5576, 1068, 6588, 1048, 1124, 7129, 21391, 2925, 1016, 20217, 1046, 1026, 3453, 1187, 8708, 7691, 1005, 1734, 5942, 10010, 1072, 2161, 1009, 1184, 1009, 27655, 1953, 2440, 1014, 1071, 108, 21695, 33, 18469, 3130, 4990, 2041, 3175, 2052, 3130, 26, 2704, 13747, 84, 4543, 1009, 6276, 1005, 1734, 5942, 1009, 2161, 1786, 27510, 1160, 3775, 20235, 1533, 4375, 1195, 4176, 1196, 1118, 2088, 11971, 1573, 1213, 4618, 1187, 14446, 1357, 4149, 31468, 1890, 1026, 4760, 2607, 11758, 6788, 2018, 12919, 1114, 4886, 19645, 1026, 2671, 6139, 1048, 12352, 3165, 18945, 10608, 1480, 1054, 1224, 7858, 1043, 1006, 4149, 1118, 1184, 1158, 2250, 4441, 18945, 1596, 3312, 1402, 1054, 1422, 1009, 2992, 1068, 8661, 1044, 3542, 4484, 1009, 8708, 7691, 1846, 1048, 1006, 26802, 13071, 2283, 7709, 18945, 10608, 1480, 1054, 1569, 15951, 1533, 17760, 1973, 1114, 4886, 11999, 1048, 31981, 2621, 1695, 2925, 1009, 7858, 14813, 1054, 1224, 7858, 1043, 1006, 4149, 1294, 4679, 1782, 2250, 1005, 1360, 1783, 1596, 7983, 1312, 3301, 5445, 22398, 1327, 1680, 13132, 1917, 1010, 2307, 1406, 2832, 1412, 26340, 1009, 14597, 1058, 22368, 1114, 6500, 23913, 1009, 19048, 1054, 3042, 4995, 29211, 3952, 1846, 1005, 1026, 10225, 1114, 4149, 1005, 1807, 1751, 1049, 8330, 1060, 5253, 1096, 1493, 3630, 5613, 12675, 1043, 1006, 3168, 2762, 1026, 7686, 1093, 10293, 1005, 1006, 3227, 27322, 19548, 3628, 4964, 2653, 13705, 1026, 1006, 9206, 6516, 86, 1069, 23820, 1124, 15951, 13519, 1611, 18, 1986, 1132, 8332, 1009, 10727, 1132, 1588, 4340, 1018, 1058, 7983, 1412, 1006, 4480, 2073, 8708, 8479, 4441, 8332, 18844, 1009, 22515, 1009, 9192, 6969, 1054, 29644, 1118, 4031, 1009, 4581, 3587, 8708, 8479, 11519, 1006, 16611, 6084, 8155, 1322, 3408, 1005, 10700, 24714, 1533, 27979, 23179, 30431, 6750, 1679, 15231, 17048, 24950, 1419, 5775, 1009, 5105, 2469, 1005, 1006, 17760, 9952, 1026, 2991, 2097, 9047, 7460, 30991, 1130, 1132, 8708, 7691, 1009, 3505, 1845, 5253, 1096, 1044, 2269, 1493, 2444, 7369, 1243, 1068, 1132, 8708, 7691, 1049, 1048, 5747, 1072, 8730, 4995, 1704, 5428, 1049, 6684, 7540, 26278, 1164, 5166, 20775, 5291, 1162, 2408, 1118, 1456, 15099, 1009, 21898, 1026, 5428, 11939, 7824, 6692, 14630, 2487, 4528, 4416, 1122, 9745, 1006, 21520, 22961, 1005, 1026, 5428, 11939, 14266, 1348, 18900, 6265, 1418, 3659, 4417, 1043, 1006, 21557, 2271, 1224, 8151, 1054, 3370, 1704, 6721, 1060, 11828, 2762, 1119, 3265, 8805, 80, 19129, 1973, 1048, 1124, 5567, 5417, 27100, 1132, 8708, 7691, 1054, 5768, 1009, 14471, 1043, 1132, 21391, 2925, 1018, 13981, 77, 2585, 1048, 3634, 9501, 10138, 4109, 1009, 1044, 4918, 3319, 1068, 14043, 3081, 6641, 17218, 1973, 1048, 1132, 10138, 2213, 6802, 1006, 6622, 1118, 28740, 4065, 8377, 11716, 1005, 3473, 4946, 22327, 28999, 12248, 1751, 1049, 2743, 10513, 1461, 1006, 3332, 2484, 1271, 6428, 1118, 1495, 2125, 2864, 4109, 1049, 3633, 1901, 1704, 10831, 1424, 1398, 22510, 1060, 13920, 1068, 1132, 15231, 17048, 1054, 1235, 6840, 1322, 1006, 9834, 5576, 18, 1973, 1048, 1006, 8403, 3332, 2484, 1271, 6428, 1195, 13005, 1713, 1054, 2754, 30040, 6842, 1048, 8413, 1233, 17760, 1048, 1329, 7773, 1704, 2743, 1009, 3940, 1318, 5631, 1860, 5006, 23226, 1077, 1006, 19040, 1009, 9421, 13074, 1005, 1006, 6937, 1271, 17039, 10608, 2012, 1009, 17537, 22311, 1162, 3992, 1213, 4367, 1009, 2439, 4980, 6081, 1009, 20652, 1026, 4361, 29692, 1049, 8517, 52, 6767, 4687, 2478, 1917, 5343, 1973, 1233, 12862, 32, 16845, 22398, 17618, 1569, 7122, 1005, 3179, 2289, 1026, 1048, 6515, 29795, 1094, 16980, 1009, 1048, 4327, 7206, 1009, 20405, 17172, 1049, 2574, 1048, 11863, 9153, 1009, 1569, 10034, 3301, 5445, 22398, 6510, 1005, 27614, 1287, 1466, 1627, 4360, 23148, 5085, 1005, 21652, 8, 3482, 1684, 1434, 1868, 1042, 1051, 1144, 2732, 89, 3933, 1044, 6483, 1049, 5428, 22961, 5170, 1060, 8797, 18, 1973, 1048, 1026, 2743, 1195, 13535, 1068, 30911, 14773, 1044, 6550, 1679, 22398, 3555, 1048, 2307, 1114, 17760, 1096, 1493, 4417, 4659, 6731, 8, 2066, 2177, 4538, 1069, 1005, 13419, 20427, 1069, 1005, 1857, 7508, 1027, 1569, 3010, 1016, 1118, 1664, 1132, 4267, 1009, 4393, 1018, 1048, 1299, 1225, 2855, 1467, 17760, 1919, 1048, 20742, 2621, 1783, 3839, 22416, 1124, 2253, 1054, 4210, 1005, 2540, 1044, 2285, 7155, 1668, 1901, 1533, 26802, 13071, 3661, 2182, 2308, 2621, 1005, 1006, 4149, 2569, 1184, 1009, 3646, 23, 9557, 1009, 14383, 1009, 1124, 2253, 1879, 2671, 21391, 14630, 16068, 1094, 3364, 13639, 1118, 1044, 2743, 1009, 3940, 1048, 30914, 1048, 1264, 1651, 1020, 1295, 1132, 8738, 1187, 8708, 7691, 1006, 6622, 1118, 1224, 3050, 2094, 2926, 1005, 15484, 1068, 10513, 1024, 1006, 14386, 6830, 1303, 7479, 1118, 1495, 2125, 1646, 1005, 1068, 6233, 1124, 17039, 1009, 9421, 10608, 5954, 1043, 1124, 10623, 3027, 76, 2109, 28999, 1357, 9394, 1060, 13920, 1005, 4440, 1009, 3997, 16495, 1717, 6264, 6842, 1048, 1445, 1040, 1132, 22398, 20, 1, 2760, 2654, 2449, 1094, 8627, 1049, 13402, 2674, 1697, 1955, 3679, 1283, 1522, 1923, 1283, 1522, 1156, 3776, 6923, 3107, 5237, 42, 3071, 6854, 27590, 4562, 1283, 12955, 33, 1283, 12955, 15572, 2771, 2430, 17461, 11002, 159, 3527, 1054, 1094, 8627, 1049, 7715, 1068, 1048, 4172, 1178, 3778, 1068, 5719, 1094, 6115, 1114, 3023, 1060, 8621, 32, 2674, 1697, 6723, 1283, 1522, 1923, 1283, 1522, 1030, 5273, 3947, 31705, 1283, 1840, 1283, 7944, 2771, 3782, 1323, 18800, 7682, 1094, 6115, 1009, 28453, 2051, 3300, 10960, 1068, 2073, 2550, 1048, 2827, 2160, 1026, 29485, 1366, 23851, 42, 8655, 1118, 14817, 2674, 1697, 2936, 1054, 3473, 2562, 1009, 16983, 1898, 60, 2053, 1633, 5895, 1246, 13813, 10136, 19961, 1283, 1522, 6320, 1283, 1840, 5458, 675, 675, 675, 675, 2124, 23592, 9411, 42, 1065, 1153, 30872, 4334, 1660, 58, 18291, 90, 1085, 19828, 14687, 58, 18291, 90, 1085, 1730, 4035, 60, 1024, 1633, 5895, 1246, 13813, 10136, 19961, 1283, 1522, 28665, 1283, 1840, 5458, 675, 675, 675, 675, 2124, 23592, 9411, 42, 1065, 1153, 30872, 4334, 1660, 58, 18291, 90, 1085, 19828, 14687, 58, 18291, 90, 1085, 1730, 4035, 60, 2053, 1633, 5895, 1246, 13813, 10136, 19961, 1283, 1522, 8669, 1112, 1283, 1840, 5458, 675, 675, 675, 675, 2124, 23592, 9411, 42, 1065, 1153, 30872, 4334, 1660, 58, 18291, 90, 1085, 19828, 14687, 58, 18291, 90, 1085, 1730, 4035, 29678, 1063, 2562, 1009, 2490, 5661, 1298, 26186, 1068, 2073, 2550, 1048, 2827, 2160, 1026, 29485, 1366, 23851, 14334, 5, 13437, 18435, 2963, 8563, 4584, 1283, 1522, 1030, 14580, 1283, 1840, 12701, 90, 2461, 4387, 7675, 1283, 1522, 1030, 14580, 1283, 1840, 17686, 8563, 4584, 1283, 1522, 1030, 14580, 1283, 1840, 16386, 2196, 28253, 19141, 42, 8655, 28253, 13168, 14334, 15, 1571, 1030, 14580, 32, 29485, 1366, 23851, 14334, 14729, 675, 675, 675, 2936, 3782, 1160, 2133, 27035, 2340, 1026, 1005, 15664, 1160, 10468, 150, 1094, 6723, 1049, 2446, 29485, 1182, 23851, 42, 8655, 1592, 1048, 1026, 1128, 14580, 2827, 2160, 1026, 29485, 1366, 23851, 14334, 5, 675, 675, 675, 2936, 19215, 1129, 1283, 1522, 1923, 1283, 1522, 29485, 1022, 23851, 42, 8655, 31705, 1283, 1840, 1283, 1840, 25675, 1153, 30872, 23592, 1246, 2311, 1246, 1283, 1840, 5953, 7675, 1283, 1840, 1246, 10387, 14334, 1283, 5667, 1283, 5667, 5953, 7675, 1283, 1522, 1246, 7081, 7675, 1276, 675, 675, 675, 2936, 1633, 5895, 1246, 16386, 3965, 93, 12546, 4334, 1065, 1153, 30872, 23592, 4035, 675, 675, 675, 2936, 3782, 1318, 1160, 2133, 27035, 1026, 1842, 4752, 1660, 1096, 8331, 1069, 1114, 6723, 1159, 1044, 4798, 1049, 29485, 1022, 23851, 14334, 1054, 1472, 1009, 1128, 5273, 3947, 2276, 1084, 17181, 9294, 2841, 7784, 1356, 1592 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1009, 2809, 14770, 2527, 1325, 1702, 2326, 1009, 12667, 4262, 6328, 3386, 2179, 6561, 1246, 24767, 2441, 4591, 14839, 6561, 5557, 3386, 1011, 90, 94, 1246, 3217, 30628, 2640, 10136, 2441, 24, 42, 20060, 3386, 1086, 1174, 6348, 1246, 25529, 10688, 10823, 77, 1174, 11987, 1174, 7642, 3386, 1086, 1174, 1246, 2017, 1086, 1174, 14746, 675, 675, 675, 19520, 1248, 3290, 32, 14475, 1174, 20, 7280, 2652, 9717, 6526, 675, 675, 675, 29297, 3217, 30628, 9119, 2007, 675, 675, 675, 24450, 3217, 30628, 15570, 5, 31459, 77, 1174, 27783, 2996, 19870, 1069, 2820, 2562, 1071, 1245, 1193, 15, 1824, 675, 675, 675, 2254, 2963, 51, 77, 1246, 4227, 18172, 3625, 675, 675, 675, 18484, 3677, 5676, 1246, 3764, 11488, 13572, 9796, 6348, 1071, 1245, 1193, 1621, 675, 675, 675, 1011, 90, 5953, 74, 8803, 14187, 1071, 9237, 18, 3519, 1559, 1621, 99, 22425, 1868, 27441, 1026, 2658, 1163, 11326, 1005, 14104, 1752, 6980, 1233, 6855, 1086, 1174, 3864, 6599, 3386, 2311, 12789, 1246, 2017, 11727, 46, 5331, 54, 14463, 3625, 94, 78, 2459, 15064, 2441, 2640, 1406, 1086, 1174, 1189, 5972, 7448, 1621, 62, 25632, 8776, 11805, 31311, 4436, 63, 13800, 1246, 2951, 88, 4602, 40, 10211, 7642, 94, 78, 2459, 1081, 4821, 1246, 9025, 2061, 1824, 675, 675, 675, 2254, 20363, 14443, 1246, 2017, 6004, 1203, 30, 14443, 12112, 78, 2459, 15832, 1621, 675, 675, 675, 2254, 1086, 1174, 25186, 1246, 4227, 1163, 1174, 25186, 1071, 4387, 1133, 14889, 1621, 675, 675, 675, 1086, 1174, 4892, 2652, 76, 1202, 1018, 6269, 1667, 17705, 2450, 13950, 4593, 9206, 16555, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2254, 1134, 1202, 1046, 1171, 1889, 1246, 1086, 1174, 4892, 2652, 2036, 1354, 39, 1037, 40, 82, 1041, 44, 1202, 1827, 2841, 4015, 9206, 9548, 1667, 1038, 6036, 19958, 62, 1621, 675, 675, 675, 675, 675, 675, 675, 1086, 1174, 14953, 23782, 4015, 1202, 1046, 1171, 11824, 1562, 74, 1623, 14642, 1033, 9206, 9548, 1667, 74, 1623, 95, 3125, 1782, 15918, 675, 675, 675, 10804, 675, 675, 675, 1086, 1174, 20, 27483, 3625, 23512, 94, 78, 2459, 20274, 3625, 2676, 23323, 2326, 5471, 1086, 1174, 15318, 1068, 2837, 1044, 2017, 3820, 1163, 11326, 1005, 5047, 1752, 6980, 1049, 2658, 1086, 1174, 1006, 1264, 4964, 4702, 20301, 1026, 1163, 11326, 10551, 1006, 31520, 1005, 1169, 2178, 1006, 3289, 1852, 1068, 1026, 5212, 3217, 92, 19724, 4336, 1741, 39, 4822, 1135, 70, 1096, 5483, 1068, 5149, 1026, 15069, 1365, 1752, 3516, 2586, 1068, 1048, 1006, 10352, 2374, 12549, 1236, 1114, 6187, 10758, 19425, 1048, 1668, 2326, 13350, 1048, 1299, 1566, 5227, 1079, 1006, 6855, 1163, 11326, 11001, 57, 1005, 1048, 1026, 2658, 1741, 77, 1174, 20, 7280, 2652, 9717, 70, 1325, 1072, 1592, 8286, 1048, 1224, 3922, 1060, 4583, 5080, 1318, 1298, 8307, 12909, 1026, 4466, 1060, 6046, 1005, 1734, 9658, 1068, 16958, 1213, 1235, 2535, 1009, 2490, 26656, 675, 2, 1257, 18466, 1058, 12909, 1026, 4466, 1060, 6046, 1005, 1734, 9658, 1068, 16958, 1213, 1235, 2535, 1009, 2490, 7347, 1213, 11062, 1044, 1163, 11326, 22067, 1054, 6046, 2301, 1086, 1174, 15318, 27990, 12909, 1026, 4466, 1060, 23315, 1299, 1298, 8924, 1124, 6847, 1009, 8759, 1005, 4464, 1049, 5212, 3217, 6561, 1072, 1235, 2326, 10005, 5790, 3018, 1058, 1299, 5902, 1048, 1224, 6046, 3241, 6514, 17858, 9243, 1009, 8759, 1005, 7780, 17858, 9243, 1009, 15207, 1299, 1274, 1461, 4262, 22253, 14839, 6561, 1564, 1246, 25529, 14839, 6561, 8, 18214, 1246, 1150, 9238, 8, 4464, 1246, 1150, 18242, 4495, 1260, 82, 6561, 18114, 22862, 3683, 2668, 1299, 1298, 12909, 1734, 9658, 1072, 3820, 1163, 47, 9472, 1159, 1006, 1359, 1009, 20005, 1026, 2285, 1009, 8458, 89, 1005, 1006, 3450, 1060, 3289, 1009, 4701, 22452, 9658, 1327, 17517, 2301, 1026, 3820, 18792, 1213, 2837, 1026, 3820, 1163, 11326, 5790, 3018, 1068, 5149, 1006, 1359, 1009, 4249, 1068, 1026, 6548, 1005, 1026, 2285, 1009, 8458, 89, 1159, 11011, 2784, 1299, 1274, 1461, 4262, 6328, 3386, 1086, 1174, 1246, 2017, 1086, 1174, 14746, 675, 675, 675, 2487, 17793, 32, 1538, 9, 27972, 2958, 7373, 675, 675, 675, 3673, 1497, 32, 21973, 28328, 5750, 2066, 1298, 2808, 1094, 2919, 6066, 1009, 3918, 1114, 10477, 1086, 1174, 3864, 1916, 6666, 7773, 1048, 2350, 3918, 1693, 1160, 1178, 11924, 1312, 1118, 1664, 1132, 25963, 1206, 7707, 1049, 1163, 11326, 11001, 57, 33, 5819, 1299, 1976, 11140, 1235, 2326, 28450, 10442, 1278, 1068, 3871, 1048, 1264, 23639, 5219, 1026, 2540, 9780, 1, 20563, 1026, 2511, 2859, 1009, 20807, 31959, 1026, 2859, 1054, 1094, 26852, 1124, 10623, 1596, 6674, 1312, 1357, 9394, 1060, 13920, 1005, 4440, 1009, 3997, 23087, 15398, 9344, 1048, 4343, 1717, 6264, 6842, 1322, 22398, 1704, 1831, 1175, 10209, 1142, 7011, 1142, 1816, 4138, 1123, 20640, 2789, 1051, 7600, 1026, 4367, 1009, 8701, 2743, 1009, 3940, 1184, 8205, 1255, 1444, 1188, 1060, 2042, 1060, 17760, 8, 24009, 1518, 3224, 1048, 1026, 2743, 2374, 30930, 1072, 1852, 1049, 3681, 1704, 2671, 16068, 1114, 6282, 11999, 1094, 3364, 13639, 1006, 8383, 1006, 9834, 5576, 1068, 6588, 1048, 1124, 7129, 21391, 2925, 1016, 20217, 1046, 1026, 3453, 1187, 8708, 7691, 1005, 1734, 5942, 10010, 1072, 2161, 1009, 1184, 1009, 27655, 1953, 2440, 1014, 1071, 108, 21695, 33, 18469, 3130, 4990, 2041, 3175, 2052, 3130, 26, 2704, 13747, 84, 4543, 1009, 6276, 1005, 1734, 5942, 1009, 2161, 1786, 27510, 1160, 3775, 20235, 1533, 4375, 1195, 4176, 1196, 1118, 2088, 11971, 1573, 1213, 4618, 1187, 14446, 1357, 4149, 31468, 1890, 1026, 4760, 2607, 11758, 6788, 2018, 12919, 1114, 4886, 19645, 1026, 2671, 6139, 1048, 12352, 3165, 18945, 10608, 1480, 1054, 1224, 7858, 1043, 1006, 4149, 1118, 1184, 1158, 2250, 4441, 18945, 1596, 3312, 1402, 1054, 1422, 1009, 2992, 1068, 8661, 1044, 3542, 4484, 1009, 8708, 7691, 1846, 1048, 1006, 26802, 13071, 2283, 7709, 18945, 10608, 1480, 1054, 1569, 15951, 1533, 17760, 1973, 1114, 4886, 11999, 1048, 31981, 2621, 1695, 2925, 1009, 7858, 14813, 1054, 1224, 7858, 1043, 1006, 4149, 1294, 4679, 1782, 2250, 1005, 1360, 1783, 1596, 7983, 1312, 3301, 5445, 22398, 1327, 1680, 13132, 1917, 1010, 2307, 1406, 2832, 1412, 26340, 1009, 14597, 1058, 22368, 1114, 6500, 23913, 1009, 19048, 1054, 3042, 4995, 29211, 3952, 1846, 1005, 1026, 10225, 1114, 4149, 1005, 1807, 1751, 1049, 8330, 1060, 5253, 1096, 1493, 3630, 5613, 12675, 1043, 1006, 3168, 2762, 1026, 7686, 1093, 10293, 1005, 1006, 3227, 27322, 19548, 3628, 4964, 2653, 13705, 1026, 1006, 9206, 6516, 86, 1069, 23820, 1124, 15951, 13519, 1611, 18, 1986, 1132, 8332, 1009, 10727, 1132, 1588, 4340, 1018, 1058, 7983, 1412, 1006, 4480, 2073, 8708, 8479, 4441, 8332, 18844, 1009, 22515, 1009, 9192, 6969, 1054, 29644, 1118, 4031, 1009, 4581, 3587, 8708, 8479, 11519, 1006, 16611, 6084, 8155, 1322, 3408, 1005, 10700, 24714, 1533, 27979, 23179, 30431, 6750, 1679, 15231, 17048, 24950, 1419, 5775, 1009, 5105, 2469, 1005, 1006, 17760, 9952, 1026, 2991, 2097, 9047, 7460, 30991, 1130, 1132, 8708, 7691, 1009, 3505, 1845, 5253, 1096, 1044, 2269, 1493, 2444, 7369, 1243, 1068, 1132, 8708, 7691, 1049, 1048, 5747, 1072, 8730, 4995, 1704, 5428, 1049, 6684, 7540, 26278, 1164, 5166, 20775, 5291, 1162, 2408, 1118, 1456, 15099, 1009, 21898, 1026, 5428, 11939, 7824, 6692, 14630, 2487, 4528, 4416, 1122, 9745, 1006, 21520, 22961, 1005, 1026, 5428, 11939, 14266, 1348, 18900, 6265, 1418, 3659, 4417, 1043, 1006, 21557, 2271, 1224, 8151, 1054, 3370, 1704, 6721, 1060, 11828, 2762, 1119, 3265, 8805, 80, 19129, 1973, 1048, 1124, 5567, 5417, 27100, 1132, 8708, 7691, 1054, 5768, 1009, 14471, 1043, 1132, 21391, 2925, 1018, 13981, 77, 2585, 1048, 3634, 9501, 10138, 4109, 1009, 1044, 4918, 3319, 1068, 14043, 3081, 6641, 17218, 1973, 1048, 1132, 10138, 2213, 6802, 1006, 6622, 1118, 28740, 4065, 8377, 11716, 1005, 3473, 4946, 22327, 28999, 12248, 1751, 1049, 2743, 10513, 1461, 1006, 3332, 2484, 1271, 6428, 1118, 1495, 2125, 2864, 4109, 1049, 3633, 1901, 1704, 10831, 1424, 1398, 22510, 1060, 13920, 1068, 1132, 15231, 17048, 1054, 1235, 6840, 1322, 1006, 9834, 5576, 18, 1973, 1048, 1006, 8403, 3332, 2484, 1271, 6428, 1195, 13005, 1713, 1054, 2754, 30040, 6842, 1048, 8413, 1233, 17760, 1048, 1329, 7773, 1704, 2743, 1009, 3940, 1318, 5631, 1860, 5006, 23226, 1077, 1006, 19040, 1009, 9421, 13074, 1005, 1006, 6937, 1271, 17039, 10608, 2012, 1009, 17537, 22311, 1162, 3992, 1213, 4367, 1009, 2439, 4980, 6081, 1009, 20652, 1026, 4361, 29692, 1049, 8517, 52, 6767, 4687, 2478, 1917, 5343, 1973, 1233, 12862, 32, 16845, 22398, 17618, 1569, 7122, 1005, 3179, 2289, 1026, 1048, 6515, 29795, 1094, 16980, 1009, 1048, 4327, 7206, 1009, 20405, 17172, 1049, 2574, 1048, 11863, 9153, 1009, 1569, 10034, 3301, 5445, 22398, 6510, 1005, 27614, 1287, 1466, 1627, 4360, 23148, 5085, 1005, 21652, 8, 3482, 1684, 1434, 1868, 1042, 1051, 1144, 2732, 89, 3933, 1044, 6483, 1049, 5428, 22961, 5170, 1060, 8797, 18, 1973, 1048, 1026, 2743, 1195, 13535, 1068, 30911, 14773, 1044, 6550, 1679, 22398, 3555, 1048, 2307, 1114, 17760, 1096, 1493, 4417, 4659, 6731, 8, 2066, 2177, 4538, 1069, 1005, 13419, 20427, 1069, 1005, 1857, 7508, 1027, 1569, 3010, 1016, 1118, 1664, 1132, 4267, 1009, 4393, 1018, 1048, 1299, 1225, 2855, 1467, 17760, 1919, 1048, 20742, 2621, 1783, 3839, 22416, 1124, 2253, 1054, 4210, 1005, 2540, 1044, 2285, 7155, 1668, 1901, 1533, 26802, 13071, 3661, 2182, 2308, 2621, 1005, 1006, 4149, 2569, 1184, 1009, 3646, 23, 9557, 1009, 14383, 1009, 1124, 2253, 1879, 2671, 21391, 14630, 16068, 1094, 3364, 13639, 1118, 1044, 2743, 1009, 3940, 1048, 30914, 1048, 1264, 1651, 1020, 1295, 1132, 8738, 1187, 8708, 7691, 1006, 6622, 1118, 1224, 3050, 2094, 2926, 1005, 15484, 1068, 10513, 1024, 1006, 14386, 6830, 1303, 7479, 1118, 1495, 2125, 1646, 1005, 1068, 6233, 1124, 17039, 1009, 9421, 10608, 5954, 1043, 1124, 10623, 3027, 76, 2109, 28999, 1357, 9394, 1060, 13920, 1005, 4440, 1009, 3997, 16495, 1717, 6264, 6842, 1048, 1445, 1040, 1132, 22398, 20, 1, 2760, 2654, 2449, 1094, 8627, 1049, 13402, 2674, 1697, 1955, 3679, 1283, 1522, 1923, 1283, 1522, 1156, 3776, 6923, 3107, 5237, 42, 3071, 6854, 27590, 4562, 1283, 12955, 33, 1283, 12955, 15572, 2771, 2430, 17461, 11002, 159, 3527, 1054, 1094, 8627, 1049, 7715, 1068, 1048, 4172, 1178, 3778, 1068, 5719, 1094, 6115, 1114, 3023, 1060, 8621, 32, 2674, 1697, 6723, 1283, 1522, 1923, 1283, 1522, 1030, 5273, 3947, 31705, 1283, 1840, 1283, 7944, 2771, 3782, 1323, 18800, 7682, 1094, 6115, 1009, 28453, 2051, 3300, 10960, 1068, 2073, 2550, 1048, 2827, 2160, 1026, 29485, 1366, 23851, 42, 8655, 1118, 14817, 2674, 1697, 2936, 1054, 3473, 2562, 1009, 16983, 1898, 60, 2053, 1633, 5895, 1246, 13813, 10136, 19961, 1283, 1522, 6320, 1283, 1840, 5458, 675, 675, 675, 675, 2124, 23592, 9411, 42, 1065, 1153, 30872, 4334, 1660, 58, 18291, 90, 1085, 19828, 14687, 58, 18291, 90, 1085, 1730, 4035, 60, 1024, 1633, 5895, 1246, 13813, 10136, 19961, 1283, 1522, 28665, 1283, 1840, 5458, 675, 675, 675, 675, 2124, 23592, 9411, 42, 1065, 1153, 30872, 4334, 1660, 58, 18291, 90, 1085, 19828, 14687, 58, 18291, 90, 1085, 1730, 4035, 60, 2053, 1633, 5895, 1246, 13813, 10136, 19961, 1283, 1522, 8669, 1112, 1283, 1840, 5458, 675, 675, 675, 675, 2124, 23592, 9411, 42, 1065, 1153, 30872, 4334, 1660, 58, 18291, 90, 1085, 19828, 14687, 58, 18291, 90, 1085, 1730, 4035, 29678, 1063, 2562, 1009, 2490, 5661, 1298, 26186, 1068, 2073, 2550, 1048, 2827, 2160, 1026, 29485, 1366, 23851, 14334, 5, 13437, 18435, 2963, 8563, 4584, 1283, 1522, 1030, 14580, 1283, 1840, 12701, 90, 2461, 4387, 7675, 1283, 1522, 1030, 14580, 1283, 1840, 17686, 8563, 4584, 1283, 1522, 1030, 14580, 1283, 1840, 16386, 2196, 28253, 19141, 42, 8655, 28253, 13168, 14334, 15, 1571, 1030, 14580, 32, 29485, 1366, 23851, 14334, 14729, 675, 675, 675, 2936, 3782, 1160, 2133, 27035, 2340, 1026, 1005, 15664, 1160, 10468, 150, 1094, 6723, 1049, 2446, 29485, 1182, 23851, 42, 8655, 1592, 1048, 1026, 1128, 14580, 2827, 2160, 1026, 29485, 1366, 23851, 14334, 5, 675, 675, 675, 2936, 19215, 1129, 1283, 1522, 1923, 1283, 1522, 29485, 1022, 23851, 42, 8655, 31705, 1283, 1840, 1283, 1840, 25675, 1153, 30872, 23592, 1246, 2311, 1246, 1283, 1840, 5953, 7675, 1283, 1840, 1246, 10387, 14334, 1283, 5667, 1283, 5667, 5953, 7675, 1283, 1522, 1246, 7081, 7675, 1276, 675, 675, 675, 2936, 1633, 5895, 1246, 16386, 3965, 93, 12546, 4334, 1065, 1153, 30872, 23592, 4035, 675, 675, 675, 2936, 3782, 1318, 1160, 2133, 27035, 1026, 1842, 4752, 1660, 1096, 8331, 1069, 1114, 6723, 1159, 1044, 4798, 1049, 29485, 1022, 23851, 14334, 1054, 1472, 1009, 1128, 5273, 3947, 2276, 1084, 17181, 9294, 2841, 7784, 1356, 1592 ]

[ 15588, 20, 2200, 3510, 1079, 1026, 15588, 18, 8261, 1305, 1569, 25334, 1235, 7108, 5749, 10092, 1005, 2793, 2685, 8280, 3735, 1026, 15588, 9564, 1054, 2120, 4927, 1229, 1026, 1908, 11763, 1058, 3708, 3729, 1069, 1118, 31935, 1005, 13971, 1802, 1138, 3159, 1184, 2512, 1271, 7147, 1213, 2792, 1096, 1048, 5869, 20, 1063, 15, 1857, 10985, 11059, 7331, 1005, 1734, 3195, 1106, 15, 1048, 10985, 11059, 13687, 1062, 15, 1857, 1026, 12807, 1006, 4379, 2872, 1016, 1005, 31935, 1119, 15, 1857, 1026, 12807, 1006, 5587, 3453, 1257, 21567, 2083, 16452, 1857, 1026, 12807, 1006, 4379, 2872, 1016, 1005, 31935, 1, 9202, 1026, 1048, 2237, 2562, 1381, 32, 1257, 36, 1050, 1087, 24, 23589, 4593, 82, 8455, 1112, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 4035, 45, 4450, 1096, 1094, 2562, 1048, 11213, 1044, 14100, 1054, 6019, 1009, 1044, 7620, 17794, 20, 2013, 4230, 2125, 9658, 18, 2311, 18, 3504, 1005, 1686, 18, 1048, 1327, 17433, 1049, 14100, 20, 1063, 2562, 8089, 1026, 14100, 11213, 9780, 1257, 1257, 1050, 1087, 24, 23589, 4593, 82, 8455, 1112, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 36, 2052, 36, 6398, 1257, 6398, 6398, 1050, 1087, 24, 11209, 4593, 24523, 2311, 18, 3535, 1065, 3504, 10, 36, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 36, 10, 1257, 6398, 1050, 1087, 24, 29909, 1133, 4593, 24523, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1175, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 76, 24523, 1686, 15, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 23973, 6398, 1257, 6398, 6398, 6398, 1050, 1087, 24, 4374, 1660, 4593, 24523, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1175, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 95, 3125, 1011, 3929, 1257, 1257, 1257, 6398, 6398, 1050, 1087, 24, 4374, 1660, 4593, 24523, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1175, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 23973, 89, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1, 4032, 20272, 16547, 1006, 2511, 14496, 1049, 4025, 37, 1257, 10628, 2517, 32, 1257, 1257, 25071, 2604, 1972, 74, 2571, 1096, 1044, 3077, 1213, 5595, 1009, 1809, 95, 6036, 3941, 1054, 28606, 2200, 4955, 6258, 1009, 1224, 17668, 1236, 9345, 1009, 6127, 1043, 5122, 4591, 5798, 13484, 1309, 1305, 3753, 1073, 1577, 19121, 1100, 1048, 6229, 1054, 3353, 1009, 22839, 2200, 5631, 2125, 3606, 8696, 1009, 22780, 2966, 18937, 1024, 3753, 1406, 1048, 5798, 93, 5444, 1159, 1044, 29610, 1006, 1073, 1577, 19121, 1667, 1257, 1257, 14306, 2622, 4201, 32, 16386, 1188, 3381, 1195, 4823, 1996, 1009, 8163, 8, 4860, 27452, 1160, 4800, 16547, 2122, 14496, 1049, 4025, 1004, 2270, 1138, 4025, 1998, 1294, 1919, 1048, 18937, 1024, 3753, 8, 1195, 4823, 1118, 5122, 4591, 5798, 93, 1159, 1044, 29610, 1006, 3753, 1073, 1577, 96, 3400, 1005, 1195, 14693, 1072, 3077, 1213, 5595, 6954, 1095, 5012, 2604, 1972, 74, 2571, 8, 3941, 1054, 28606, 2656, 5420, 4697, 4734, 1322, 1511, 1006, 5187, 1195, 6216, 2100, 1, 10628, 2335, 1898, 48, 1219, 1081, 19805, 5544, 17178, 1114, 11745, 17324, 1009, 26765, 2200, 1566, 1225, 3473, 3513, 1054, 15253, 1009, 4680, 5514, 8057, 2323, 1049, 18861, 1138, 9995, 1180, 1219, 1081, 19805, 18, 1060, 23565, 1301, 7076, 9923, 1213, 3761, 21961, 22095, 14389, 4309, 13, 1048, 10815, 1114, 5579, 1009, 15458, 1006, 14673, 1140, 1049, 2293, 1159, 19481, 90, 3507, 20, 11363, 15793, 1322, 1026, 2293, 2170, 1054, 4702, 27742, 1048, 1160, 1406, 4979, 19805, 18, 1048, 1058, 3913, 1068, 1006, 6222, 1060, 10946, 1048, 2177, 5191, 1072, 3867, 1531, 19018, 2193, 1466, 1081, 1069, 1356, 9180, 18, 1026, 9534, 1009, 6275, 1646, 2265, 1006, 5579, 1009, 1511, 1058, 28594, 1060, 1134, 2541, 1058, 4531, 1044, 19481, 90, 16614, 1309, 8755, 1048, 1068, 1094, 5173, 1009, 3910, 3319, 1264, 24392, 17512, 1493, 10922, 2654, 3100, 1044, 2631, 11766, 1317, 3858, 1309, 1114, 6915, 1043, 4085, 1503, 11645, 1054, 1044, 3319, 6255, 3630, 1406, 30904, 1776, 3810, 4183, 1026, 9995, 8311, 1132, 14960, 9372, 1049, 19481, 90, 1362, 9534, 1387, 1291, 1130, 1005, 22644, 8146, 1108, 1802, 19805, 3475, 1044, 1531, 1043, 1006, 7779, 1054, 1094, 25434, 5068, 1054, 1044, 13172, 1054, 8462, 1005, 1195, 1026, 5434, 1068, 16891, 1048, 1264, 1516, 3179, 2072, 2631, 2950, 1132, 9372, 8146, 1108, 1802, 4032, 20659, 1009, 2289, 1503, 3100, 7836, 4810, 1479, 73, 2630, 1009, 1782, 1646, 1184, 7836, 1048, 1132, 9372, 620, 1005, 1118, 1616, 14665, 1160, 1096, 1068, 10312, 16469, 1026, 6635, 5178, 1009, 16821, 19805, 5544, 17178, 1357, 1944, 1472, 1114, 11745, 17324, 1009, 8462, 1054, 3727, 1009, 13028, 1005, 1225, 1006, 6728, 1009, 8147, 1026, 1235, 8812, 4987, 7371, 1219, 1081, 19805, 26548, 1048, 5544, 17178, 1114, 11745, 17324, 1009, 8462, 1054, 3727, 1009, 3149, 1005, 1225, 1006, 6728, 1009, 8147, 1235, 8812, 23208, 2656, 1837, 2266, 1072, 3407, 1322, 1006, 3513, 1009, 19805, 1054, 15253, 1009, 4680, 19235, 1309, 1264, 1096, 1044, 11766, 1317, 1348, 1005, 6178, 1566, 6580, 1009, 2089, 15253, 22561, 1, 4954, 159, 1006, 4380, 32, 19984, 32, 10770, 8677, 1094, 1271, 4029, 8022, 4085, 1009, 14388, 50, 1054, 16853, 5310, 1005, 4319, 1782, 6296, 1378, 10158, 1101, 6296, 9190, 2012, 1005, 1487, 20607, 1009, 9850, 1054, 18507, 1005, 1083, 1054, 18805, 4502, 20, 1972, 3592, 23267, 1998, 10395, 1009, 7748, 1009, 4431, 20854, 20, 4685, 9731, 1800, 1094, 4044, 4750, 7302, 1720, 1096, 31734, 28546, 5488, 6367, 1560, 1142, 24353, 4293, 5228, 1005, 1082, 16497, 11529, 20, 1972, 2237, 14595, 10395, 1009, 7748, 1009, 5309, 1009, 9416, 1005, 7748, 1068, 14745, 11137, 18, 23033, 1005, 11686, 1054, 16492, 20, 2804, 1527, 2602, 16154, 7748, 26689, 1043, 1128, 2164, 4562, 1206, 12102, 3151, 1009, 12458, 20, 1603, 1299, 9578, 3291, 1184, 1322, 12356, 1737, 1459, 2930, 2788, 1054, 6408, 18619, 3677, 7170, 1075, 1146, 4177, 20, 3125, 42, 7225, 1005, 1119, 8673, 12026, 1508, 1009, 1083, 4868, 1068, 1752, 3621, 1159, 26801, 3130, 7625, 1346, 1009, 4868, 1114, 5411, 4293, 1896, 3747, 1009, 18098, 24520, 1239, 1009, 18507, 3106, 2323, 1009, 2128, 1009, 3403, 1009, 7905, 2224, 3952, 15, 4004, 2188, 2245, 7625, 1346, 1009, 12458, 1054, 18507, 5488, 6367, 1560, 1142, 24353, 1082, 16497, 11529, 3106, 2323, 1009, 1083, 1009, 5164, 7905, 1782, 3952, 15, 5142, 5945, 11013, 1009, 4431, 20854, 1054, 31734, 28546, 30097, 84, 1253, 12373, 27510, 4293, 5228, 11529, 5436, 2323, 1009, 1307, 1009, 3261, 1009, 7905, 1307, 3952, 15, 3125, 1587, 25439, 16832, 1068, 1124, 9423, 3130, 7339, 1708, 20675, 1009, 4431, 1068, 2252, 1124, 9423, 4109, 4004, 15361, 17577, 1356, 2444, 2645, 1010, 1346, 1083, 1005, 18539, 1043, 3513, 1009, 4843, 13742, 5142, 1128, 2164, 4562, 1206, 12221, 10041, 2645, 1010, 1346, 27549, 3125, 6196, 1887, 1009, 2011, 1005, 3563, 14796, 96, 7379, 81, 2592, 2034, 6296, 1327, 1124, 3460, 6296, 1054, 18507, 1043, 13151, 1005, 12297, 1009, 26951, 1936, 6997, 8886, 4868, 4597, 1006, 7975, 1009, 7658, 18, 3177, 13266, 1233, 6211, 20, 10770, 2185, 2315, 5850, 1009, 4843, 1005, 17634, 1009, 4843, 20, 3125, 2915, 3335, 9318, 2561, 1267, 1387, 3824, 2918, 1005, 1106, 11438, 1138, 10511, 4629, 1009, 1675, 6435, 1123, 26447, 1006, 27655, 1123, 26447, 1118, 3681, 1009, 2303, 1043, 1006, 3621, 1048, 1299, 1058, 27046, 1930, 1026, 1048, 1298, 3871, 1048, 1299, 3241, 1094, 1834, 15513, 1054, 18507, 20, 10770, 3684, 4351, 10514, 29389, 1009, 5099, 1009, 1751, 1206, 3698, 1229, 8769, 1009, 2950, 1557, 1299, 2155, 4524, 1068, 22041, 5464, 2745, 3230, 3684, 2533, 10939, 1044, 11340, 2509, 1009, 5606, 1068, 1044, 5453, 1009, 1044, 7313, 22502, 12155, 1063, 4422, 3467, 14388, 50, 1054, 18507, 2572, 9462, 5869, 20, 4499, 1206, 11281, 1006, 3484, 20166, 5043, 7748, 1009, 4431, 20675, 1068, 4524, 1054, 18507, 20138, 1257, 1063, 3484, 12638, 8, 4276, 18373, 1, 5344, 1096, 1026, 9151, 1049, 2511, 1030, 15035, 37, 1257, 1128, 15035, 32, 9338, 4604, 1503, 2697, 85, 1009, 8947, 1006, 2348, 22118, 1072, 6745, 8893, 3185, 81, 14225, 83, 1430, 10736, 1162, 3669, 95, 3185, 81, 10971, 83, 1430, 4177, 77, 2144, 5895, 23, 2337, 3436, 9151, 1049, 1030, 15035, 1096, 4208, 6128, 20, 1063, 3271, 1325, 1657, 29079, 2266, 1322, 1006, 8957, 1009, 1224, 22118, 1005, 6909, 2631, 10987, 2656, 1837, 4697, 11796, 14433, 1206, 20239, 18013, 1072, 1030, 15035, 20, 1, 11955, 1026, 2511, 2859, 1005, 22900, 1233, 14346, 19984, 32, 2800, 21154, 1009, 5514, 1054, 1044, 4288, 1860, 2647, 1664, 3230, 1058, 12866, 1027, 2328, 1049, 1557, 1054, 1044, 4308, 6151, 28891, 18210, 2494, 1944, 4415, 1009, 5426, 30308, 2368, 2315, 1005, 3412, 25984, 22680, 1026, 7711, 1060, 15262, 1149, 3566, 3336, 4567, 1009, 3412, 1870, 1072, 2268, 1026, 2823, 5090, 1044, 2568, 1009, 21350, 1024, 20689, 20, 3316, 2360, 9473, 1060, 25434, 5068, 7192, 1298, 3371, 1006, 8389, 1081, 1645, 3794, 1646, 1009, 2926, 1005, 15262, 2485, 8989, 3192, 1048, 18186, 1508, 2155, 4524, 1068, 9135, 1006, 3722, 20066, 18018, 1049, 14163, 15277, 1063, 3364, 1271, 5376, 1009, 26740, 13876, 10936, 2453, 1049, 2823, 6301, 19760, 1121, 1650, 7651, 2444, 9673, 1009, 5593, 21217, 6301, 20193, 23597, 20689, 6388, 1224, 3722, 2338, 3152, 4082, 1622, 1005, 2631, 3921, 1034, 2444, 11122, 1802, 40, 4340, 10596, 1184, 4445, 1009, 10572, 20, 21893, 3230, 3729, 1508, 1044, 12511, 18, 1044, 12511, 1048, 1096, 1712, 1049, 1048, 1006, 3028, 8202, 3566, 3336, 51, 14869, 6236, 1096, 1657, 1044, 7279, 4863, 1206, 7788, 1009, 16072, 17689, 5946, 16902, 1356, 9851, 1349, 1309, 2429, 5326, 5869, 4145, 1834, 1006, 1044, 27546, 1482, 3310, 2084, 1044, 27881, 10548, 3179, 12262, 1792, 1006, 1834, 1009, 16163, 1229, 1009, 1871, 2283, 9776, 1400, 19053, 1124, 23921, 1054, 1224, 11783, 1063, 6375, 1068, 1026, 5654, 1516, 2276, 6240, 5330, 16584, 1114, 2828, 1060, 11541, 1054, 24190, 12339, 4942, 54, 15618, 1603, 1165, 1108, 1318, 3322, 2698, 1493, 1006, 1834, 8937, 1009, 16163, 27594, 3435, 1195, 19791, 2328, 1009, 1094, 11783, 16511, 1009, 18871, 14617, 1048, 2569, 1044, 1807, 5654, 1322, 1006, 14367, 1049, 12147, 7143, 1165, 1108, 7734, 1048, 2453, 1049, 29848, 2586, 3195, 18177, 8745, 2382, 2758, 2653, 1187, 7880, 1048, 6438, 1648, 1026, 26740, 15882, 5525, 1989, 9179, 6623, 2274, 1026, 17269, 1049, 26740, 1298, 1178, 3444, 4402, 4457, 17630, 1944, 5326, 1026, 10036, 1009, 1118, 1048, 14163, 2315, 1325, 1847, 2909, 1250, 4135, 23697, 5445, 12434, 1054, 2653, 6824, 1826, 2364, 3748, 15494, 2768, 1708, 1005, 1009, 2729, 10008, 20, 3316, 1834, 4612, 4217, 13306, 2864, 1620, 1048, 1054, 1752, 1044, 1009, 3230, 1325, 1044, 4957, 1068, 1094, 1834, 1184, 7033, 1377, 2202, 6157, 31508, 3647, 1006, 15262, 1149, 1005, 8202, 1233, 5946, 1048, 4319, 1679, 10757, 2864, 6313, 8587, 1118, 14558, 4844, 22502, 12155, 5344, 1187, 4496, 1160, 1096, 1094, 5042, 1009, 26740, 37, 21567, 32, 1257, 30101, 9539, 32, 6136, 15, 2034, 1783, 29687, 20689, 1006, 3722, 16465, 20, 1071, 2599, 15, 1138, 1476, 1010, 16061, 1006, 10572, 1184, 8273, 20, 1071, 7251, 15, 1138, 3152, 4082, 1622, 1005, 2631, 3921, 1034, 2444, 8620, 1256, 1071, 4812, 15, 1766, 19760, 1121, 1650, 7651, 17010, 1018, 1009, 5593, 14989, 24865, 1658, 3484, 1096, 1071, 4812, 15, 1766, 19760, 1121, 1650, 7651, 17010, 1018, 1009, 5593, 14989 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 15588, 20, 2200, 3510, 1079, 1026, 15588, 18, 8261, 1305, 1569, 25334, 1235, 7108, 5749, 10092, 1005, 2793, 2685, 8280, 3735, 1026, 15588, 9564, 1054, 2120, 4927, 1229, 1026, 1908, 11763, 1058, 3708, 3729, 1069, 1118, 31935, 1005, 13971, 1802, 1138, 3159, 1184, 2512, 1271, 7147, 1213, 2792, 1096, 1048, 5869, 20, 1063, 15, 1857, 10985, 11059, 7331, 1005, 1734, 3195, 1106, 15, 1048, 10985, 11059, 13687, 1062, 15, 1857, 1026, 12807, 1006, 4379, 2872, 1016, 1005, 31935, 1119, 15, 1857, 1026, 12807, 1006, 5587, 3453, 1257, 21567, 2083, 16452, 1857, 1026, 12807, 1006, 4379, 2872, 1016, 1005, 31935, 1, 9202, 1026, 1048, 2237, 2562, 1381, 32, 1257, 36, 1050, 1087, 24, 23589, 4593, 82, 8455, 1112, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 4035, 45, 4450, 1096, 1094, 2562, 1048, 11213, 1044, 14100, 1054, 6019, 1009, 1044, 7620, 17794, 20, 2013, 4230, 2125, 9658, 18, 2311, 18, 3504, 1005, 1686, 18, 1048, 1327, 17433, 1049, 14100, 20, 1063, 2562, 8089, 1026, 14100, 11213, 9780, 1257, 1257, 1050, 1087, 24, 23589, 4593, 82, 8455, 1112, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 36, 2052, 36, 6398, 1257, 6398, 6398, 1050, 1087, 24, 11209, 4593, 24523, 2311, 18, 3535, 1065, 3504, 10, 36, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 36, 10, 1257, 6398, 1050, 1087, 24, 29909, 1133, 4593, 24523, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1175, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 76, 24523, 1686, 15, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 23973, 6398, 1257, 6398, 6398, 6398, 1050, 1087, 24, 4374, 1660, 4593, 24523, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1175, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 95, 3125, 1011, 3929, 1257, 1257, 1257, 6398, 6398, 1050, 1087, 24, 4374, 1660, 4593, 24523, 2311, 18, 3535, 1065, 675, 2196, 3535, 1065, 1686, 15, 1175, 1257, 3535, 1065, 1011, 1246, 11108, 14, 88, 3929, 1257, 3535, 1065, 1015, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1257, 23973, 89, 1246, 3909, 14, 88, 3929, 1257, 5606, 1050, 1087, 24, 14, 94, 3125, 1011, 1175, 3504, 3125, 1015, 18, 2311, 3125, 1015, 2536, 3504, 3125, 1011, 3929, 1, 4032, 20272, 16547, 1006, 2511, 14496, 1049, 4025, 37, 1257, 10628, 2517, 32, 1257, 1257, 25071, 2604, 1972, 74, 2571, 1096, 1044, 3077, 1213, 5595, 1009, 1809, 95, 6036, 3941, 1054, 28606, 2200, 4955, 6258, 1009, 1224, 17668, 1236, 9345, 1009, 6127, 1043, 5122, 4591, 5798, 13484, 1309, 1305, 3753, 1073, 1577, 19121, 1100, 1048, 6229, 1054, 3353, 1009, 22839, 2200, 5631, 2125, 3606, 8696, 1009, 22780, 2966, 18937, 1024, 3753, 1406, 1048, 5798, 93, 5444, 1159, 1044, 29610, 1006, 1073, 1577, 19121, 1667, 1257, 1257, 14306, 2622, 4201, 32, 16386, 1188, 3381, 1195, 4823, 1996, 1009, 8163, 8, 4860, 27452, 1160, 4800, 16547, 2122, 14496, 1049, 4025, 1004, 2270, 1138, 4025, 1998, 1294, 1919, 1048, 18937, 1024, 3753, 8, 1195, 4823, 1118, 5122, 4591, 5798, 93, 1159, 1044, 29610, 1006, 3753, 1073, 1577, 96, 3400, 1005, 1195, 14693, 1072, 3077, 1213, 5595, 6954, 1095, 5012, 2604, 1972, 74, 2571, 8, 3941, 1054, 28606, 2656, 5420, 4697, 4734, 1322, 1511, 1006, 5187, 1195, 6216, 2100, 1, 10628, 2335, 1898, 48, 1219, 1081, 19805, 5544, 17178, 1114, 11745, 17324, 1009, 26765, 2200, 1566, 1225, 3473, 3513, 1054, 15253, 1009, 4680, 5514, 8057, 2323, 1049, 18861, 1138, 9995, 1180, 1219, 1081, 19805, 18, 1060, 23565, 1301, 7076, 9923, 1213, 3761, 21961, 22095, 14389, 4309, 13, 1048, 10815, 1114, 5579, 1009, 15458, 1006, 14673, 1140, 1049, 2293, 1159, 19481, 90, 3507, 20, 11363, 15793, 1322, 1026, 2293, 2170, 1054, 4702, 27742, 1048, 1160, 1406, 4979, 19805, 18, 1048, 1058, 3913, 1068, 1006, 6222, 1060, 10946, 1048, 2177, 5191, 1072, 3867, 1531, 19018, 2193, 1466, 1081, 1069, 1356, 9180, 18, 1026, 9534, 1009, 6275, 1646, 2265, 1006, 5579, 1009, 1511, 1058, 28594, 1060, 1134, 2541, 1058, 4531, 1044, 19481, 90, 16614, 1309, 8755, 1048, 1068, 1094, 5173, 1009, 3910, 3319, 1264, 24392, 17512, 1493, 10922, 2654, 3100, 1044, 2631, 11766, 1317, 3858, 1309, 1114, 6915, 1043, 4085, 1503, 11645, 1054, 1044, 3319, 6255, 3630, 1406, 30904, 1776, 3810, 4183, 1026, 9995, 8311, 1132, 14960, 9372, 1049, 19481, 90, 1362, 9534, 1387, 1291, 1130, 1005, 22644, 8146, 1108, 1802, 19805, 3475, 1044, 1531, 1043, 1006, 7779, 1054, 1094, 25434, 5068, 1054, 1044, 13172, 1054, 8462, 1005, 1195, 1026, 5434, 1068, 16891, 1048, 1264, 1516, 3179, 2072, 2631, 2950, 1132, 9372, 8146, 1108, 1802, 4032, 20659, 1009, 2289, 1503, 3100, 7836, 4810, 1479, 73, 2630, 1009, 1782, 1646, 1184, 7836, 1048, 1132, 9372, 620, 1005, 1118, 1616, 14665, 1160, 1096, 1068, 10312, 16469, 1026, 6635, 5178, 1009, 16821, 19805, 5544, 17178, 1357, 1944, 1472, 1114, 11745, 17324, 1009, 8462, 1054, 3727, 1009, 13028, 1005, 1225, 1006, 6728, 1009, 8147, 1026, 1235, 8812, 4987, 7371, 1219, 1081, 19805, 26548, 1048, 5544, 17178, 1114, 11745, 17324, 1009, 8462, 1054, 3727, 1009, 3149, 1005, 1225, 1006, 6728, 1009, 8147, 1235, 8812, 23208, 2656, 1837, 2266, 1072, 3407, 1322, 1006, 3513, 1009, 19805, 1054, 15253, 1009, 4680, 19235, 1309, 1264, 1096, 1044, 11766, 1317, 1348, 1005, 6178, 1566, 6580, 1009, 2089, 15253, 22561, 1, 4954, 159, 1006, 4380, 32, 19984, 32, 10770, 8677, 1094, 1271, 4029, 8022, 4085, 1009, 14388, 50, 1054, 16853, 5310, 1005, 4319, 1782, 6296, 1378, 10158, 1101, 6296, 9190, 2012, 1005, 1487, 20607, 1009, 9850, 1054, 18507, 1005, 1083, 1054, 18805, 4502, 20, 1972, 3592, 23267, 1998, 10395, 1009, 7748, 1009, 4431, 20854, 20, 4685, 9731, 1800, 1094, 4044, 4750, 7302, 1720, 1096, 31734, 28546, 5488, 6367, 1560, 1142, 24353, 4293, 5228, 1005, 1082, 16497, 11529, 20, 1972, 2237, 14595, 10395, 1009, 7748, 1009, 5309, 1009, 9416, 1005, 7748, 1068, 14745, 11137, 18, 23033, 1005, 11686, 1054, 16492, 20, 2804, 1527, 2602, 16154, 7748, 26689, 1043, 1128, 2164, 4562, 1206, 12102, 3151, 1009, 12458, 20, 1603, 1299, 9578, 3291, 1184, 1322, 12356, 1737, 1459, 2930, 2788, 1054, 6408, 18619, 3677, 7170, 1075, 1146, 4177, 20, 3125, 42, 7225, 1005, 1119, 8673, 12026, 1508, 1009, 1083, 4868, 1068, 1752, 3621, 1159, 26801, 3130, 7625, 1346, 1009, 4868, 1114, 5411, 4293, 1896, 3747, 1009, 18098, 24520, 1239, 1009, 18507, 3106, 2323, 1009, 2128, 1009, 3403, 1009, 7905, 2224, 3952, 15, 4004, 2188, 2245, 7625, 1346, 1009, 12458, 1054, 18507, 5488, 6367, 1560, 1142, 24353, 1082, 16497, 11529, 3106, 2323, 1009, 1083, 1009, 5164, 7905, 1782, 3952, 15, 5142, 5945, 11013, 1009, 4431, 20854, 1054, 31734, 28546, 30097, 84, 1253, 12373, 27510, 4293, 5228, 11529, 5436, 2323, 1009, 1307, 1009, 3261, 1009, 7905, 1307, 3952, 15, 3125, 1587, 25439, 16832, 1068, 1124, 9423, 3130, 7339, 1708, 20675, 1009, 4431, 1068, 2252, 1124, 9423, 4109, 4004, 15361, 17577, 1356, 2444, 2645, 1010, 1346, 1083, 1005, 18539, 1043, 3513, 1009, 4843, 13742, 5142, 1128, 2164, 4562, 1206, 12221, 10041, 2645, 1010, 1346, 27549, 3125, 6196, 1887, 1009, 2011, 1005, 3563, 14796, 96, 7379, 81, 2592, 2034, 6296, 1327, 1124, 3460, 6296, 1054, 18507, 1043, 13151, 1005, 12297, 1009, 26951, 1936, 6997, 8886, 4868, 4597, 1006, 7975, 1009, 7658, 18, 3177, 13266, 1233, 6211, 20, 10770, 2185, 2315, 5850, 1009, 4843, 1005, 17634, 1009, 4843, 20, 3125, 2915, 3335, 9318, 2561, 1267, 1387, 3824, 2918, 1005, 1106, 11438, 1138, 10511, 4629, 1009, 1675, 6435, 1123, 26447, 1006, 27655, 1123, 26447, 1118, 3681, 1009, 2303, 1043, 1006, 3621, 1048, 1299, 1058, 27046, 1930, 1026, 1048, 1298, 3871, 1048, 1299, 3241, 1094, 1834, 15513, 1054, 18507, 20, 10770, 3684, 4351, 10514, 29389, 1009, 5099, 1009, 1751, 1206, 3698, 1229, 8769, 1009, 2950, 1557, 1299, 2155, 4524, 1068, 22041, 5464, 2745, 3230, 3684, 2533, 10939, 1044, 11340, 2509, 1009, 5606, 1068, 1044, 5453, 1009, 1044, 7313, 22502, 12155, 1063, 4422, 3467, 14388, 50, 1054, 18507, 2572, 9462, 5869, 20, 4499, 1206, 11281, 1006, 3484, 20166, 5043, 7748, 1009, 4431, 20675, 1068, 4524, 1054, 18507, 20138, 1257, 1063, 3484, 12638, 8, 4276, 18373, 1, 5344, 1096, 1026, 9151, 1049, 2511, 1030, 15035, 37, 1257, 1128, 15035, 32, 9338, 4604, 1503, 2697, 85, 1009, 8947, 1006, 2348, 22118, 1072, 6745, 8893, 3185, 81, 14225, 83, 1430, 10736, 1162, 3669, 95, 3185, 81, 10971, 83, 1430, 4177, 77, 2144, 5895, 23, 2337, 3436, 9151, 1049, 1030, 15035, 1096, 4208, 6128, 20, 1063, 3271, 1325, 1657, 29079, 2266, 1322, 1006, 8957, 1009, 1224, 22118, 1005, 6909, 2631, 10987, 2656, 1837, 4697, 11796, 14433, 1206, 20239, 18013, 1072, 1030, 15035, 20, 1, 11955, 1026, 2511, 2859, 1005, 22900, 1233, 14346, 19984, 32, 2800, 21154, 1009, 5514, 1054, 1044, 4288, 1860, 2647, 1664, 3230, 1058, 12866, 1027, 2328, 1049, 1557, 1054, 1044, 4308, 6151, 28891, 18210, 2494, 1944, 4415, 1009, 5426, 30308, 2368, 2315, 1005, 3412, 25984, 22680, 1026, 7711, 1060, 15262, 1149, 3566, 3336, 4567, 1009, 3412, 1870, 1072, 2268, 1026, 2823, 5090, 1044, 2568, 1009, 21350, 1024, 20689, 20, 3316, 2360, 9473, 1060, 25434, 5068, 7192, 1298, 3371, 1006, 8389, 1081, 1645, 3794, 1646, 1009, 2926, 1005, 15262, 2485, 8989, 3192, 1048, 18186, 1508, 2155, 4524, 1068, 9135, 1006, 3722, 20066, 18018, 1049, 14163, 15277, 1063, 3364, 1271, 5376, 1009, 26740, 13876, 10936, 2453, 1049, 2823, 6301, 19760, 1121, 1650, 7651, 2444, 9673, 1009, 5593, 21217, 6301, 20193, 23597, 20689, 6388, 1224, 3722, 2338, 3152, 4082, 1622, 1005, 2631, 3921, 1034, 2444, 11122, 1802, 40, 4340, 10596, 1184, 4445, 1009, 10572, 20, 21893, 3230, 3729, 1508, 1044, 12511, 18, 1044, 12511, 1048, 1096, 1712, 1049, 1048, 1006, 3028, 8202, 3566, 3336, 51, 14869, 6236, 1096, 1657, 1044, 7279, 4863, 1206, 7788, 1009, 16072, 17689, 5946, 16902, 1356, 9851, 1349, 1309, 2429, 5326, 5869, 4145, 1834, 1006, 1044, 27546, 1482, 3310, 2084, 1044, 27881, 10548, 3179, 12262, 1792, 1006, 1834, 1009, 16163, 1229, 1009, 1871, 2283, 9776, 1400, 19053, 1124, 23921, 1054, 1224, 11783, 1063, 6375, 1068, 1026, 5654, 1516, 2276, 6240, 5330, 16584, 1114, 2828, 1060, 11541, 1054, 24190, 12339, 4942, 54, 15618, 1603, 1165, 1108, 1318, 3322, 2698, 1493, 1006, 1834, 8937, 1009, 16163, 27594, 3435, 1195, 19791, 2328, 1009, 1094, 11783, 16511, 1009, 18871, 14617, 1048, 2569, 1044, 1807, 5654, 1322, 1006, 14367, 1049, 12147, 7143, 1165, 1108, 7734, 1048, 2453, 1049, 29848, 2586, 3195, 18177, 8745, 2382, 2758, 2653, 1187, 7880, 1048, 6438, 1648, 1026, 26740, 15882, 5525, 1989, 9179, 6623, 2274, 1026, 17269, 1049, 26740, 1298, 1178, 3444, 4402, 4457, 17630, 1944, 5326, 1026, 10036, 1009, 1118, 1048, 14163, 2315, 1325, 1847, 2909, 1250, 4135, 23697, 5445, 12434, 1054, 2653, 6824, 1826, 2364, 3748, 15494, 2768, 1708, 1005, 1009, 2729, 10008, 20, 3316, 1834, 4612, 4217, 13306, 2864, 1620, 1048, 1054, 1752, 1044, 1009, 3230, 1325, 1044, 4957, 1068, 1094, 1834, 1184, 7033, 1377, 2202, 6157, 31508, 3647, 1006, 15262, 1149, 1005, 8202, 1233, 5946, 1048, 4319, 1679, 10757, 2864, 6313, 8587, 1118, 14558, 4844, 22502, 12155, 5344, 1187, 4496, 1160, 1096, 1094, 5042, 1009, 26740, 37, 21567, 32, 1257, 30101, 9539, 32, 6136, 15, 2034, 1783, 29687, 20689, 1006, 3722, 16465, 20, 1071, 2599, 15, 1138, 1476, 1010, 16061, 1006, 10572, 1184, 8273, 20, 1071, 7251, 15, 1138, 3152, 4082, 1622, 1005, 2631, 3921, 1034, 2444, 8620, 1256, 1071, 4812, 15, 1766, 19760, 1121, 1650, 7651, 17010, 1018, 1009, 5593, 14989, 24865, 1658, 3484, 1096, 1071, 4812, 15, 1766, 19760, 1121, 1650, 7651, 17010, 1018, 1009, 5593, 14989 ]

[ 1135, 2367, 1789, 1164, 1068, 1026, 9222, 1051, 1104, 2816, 1060, 30544, 22956, 1006, 1224, 7275, 1425, 1149, 1043, 2277, 14950, 7990, 11758, 10283, 0, 17480, 3679, 1049, 9112, 1187, 7910, 1229, 1005, 1026, 24106, 1374, 13289, 1187, 8738, 10336, 1009, 4786, 4854, 2528, 3073, 1608, 1005, 1240, 1263, 1608, 18, 1048, 3004, 23487, 19356, 2823, 2765, 8657, 1273, 4360, 1208, 3992, 1664, 1132, 1210, 1692, 14034, 14767, 1018, 1005, 1043, 12303, 1034, 1018, 1271, 4730, 1580, 2823, 2765, 33, 5142, 0, 17480, 3679, 1060, 1863, 1236, 20452, 33, 6013, 0, 2642, 1078, 1346, 1187, 4224, 1478, 3045, 1452, 1005, 4527, 1303, 2357, 1049, 4113, 1276, 53, 19438, 18, 1048, 27914, 1009, 2924, 24422, 1126, 2177, 8160, 1188, 1043, 1006, 5865, 29045, 1072, 20826, 20, 16160, 1091, 33, 1005, 1026, 8157, 1820, 6146, 1048, 4659, 1114, 1011, 1270, 71, 1305, 1124, 1638, 1040, 84, 1436, 4730, 5006, 2177, 8160, 1188, 1043, 1124, 22500, 4730, 1580, 1072, 20826, 20, 1779, 1999, 17974, 9002, 6210, 26960, 1782, 2944, 7550, 13797, 18374, 13115, 1094, 1807, 1591, 5997, 2319, 1114, 3621, 1009, 1067, 1932, 78, 2902, 1054, 27654, 18, 1005, 1030, 169, 2905, 1124, 5220, 20385, 2829, 1413, 23197, 157, 8841, 1392, 1005, 4730, 1580, 1374, 675, 174, 1812, 1549, 15858, 1048, 3768, 1049, 14990, 11287, 1049, 1831, 4542, 157, 82, 1459, 1009, 1180, 174, 86, 7175, 9493, 1195, 27149, 1054, 1910, 12569, 1097, 1361, 1005, 22174, 1159, 6483, 1068, 1006, 2573, 1271, 4730, 1580, 10761, 4753, 32, 1124, 7943, 13178, 1081, 1392, 4122, 1146, 3847, 1049, 2092, 5675, 1211, 5781, 6314, 1068, 1277, 1266, 1009, 2348, 5297, 1005, 3154, 79, 1118, 1184, 1009, 1044, 1210, 2095, 1114, 2573, 1187, 5226, 5785, 1018, 1009, 6015, 13401, 1043, 1734, 4784, 2585, 1048, 2492, 1648, 1124, 16596, 1273, 1005, 1048, 1323, 2518, 22856, 1005, 9656, 2241, 1679, 1456, 26905, 1932, 32, 1118, 2237, 6375, 14073, 1005, 27991, 1026, 21848, 1370, 7056, 1780, 17241, 1630, 2165, 33, 1992, 2364, 1206, 1370, 1005, 2439, 1077, 1026, 1235, 31814, 1005, 4481, 86, 1398, 1714, 14493, 2904, 3847, 18146, 7980, 11839, 1026, 6680, 1060, 13978, 9727, 1226, 1222, 2112, 1048, 1168, 3308, 1129, 150, 1007, 1124, 25352, 4730, 1580, 6788, 1026, 8241, 1096, 2218, 1100, 1026, 19438, 4960, 1927, 10757, 9732, 12223, 1033, 168, 1007, 1124, 4730, 1580, 33, 1005, 1998, 4291, 2684, 11969, 1668, 2730, 1471, 1072, 2535, 1049, 26960, 1844, 5235, 20826, 20, 5142, 68, 85, 1060, 17974, 9002, 6210, 1603, 1026, 8241, 1096, 15958, 1026, 19438, 1160, 2615, 1945, 1184, 1048, 1124, 26359, 1720, 1312, 1356, 1048, 4404, 4289, 1048, 1160, 1008, 1628, 1040, 2684, 11969, 1006, 5878, 20, 17974, 9002, 6210, 26960, 22993, 2443, 1005, 1844, 5963, 20826, 20, 19595, 20, 1, 19251, 1006, 2323, 1009, 2052, 2400, 25302, 2621, 1479, 2052, 2525, 25302, 2621, 5, 5940, 1313, 2475, 3008, 1097, 5156, 1072, 3152, 1049, 4657, 6191, 1009, 11279, 28455, 12553, 20662, 1114, 1313, 2475, 1773, 1005, 1134, 1174, 1773, 4429, 13196, 1324, 1989, 19659, 1009, 16373, 18670, 1006, 11997, 2042, 1049, 9795, 28174, 1009, 4658, 5056, 1005, 1009, 1235, 5603, 1009, 5231, 1043, 1124, 11594, 3712, 3944, 1728, 1138, 4984, 61, 2830, 1225, 2128, 8292, 8424, 1847, 1791, 1118, 2159, 1930, 10868, 1124, 8716, 1678, 1048, 9577, 1043, 8004, 1010, 1791, 1005, 2125, 24369, 3737, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2394, 5900, 2400, 2621, 1479, 2052, 23, 2471, 9238, 18, 2621, 1605, 4110, 22405, 1096, 13839, 1094, 3733, 1009, 3374, 7, 1138, 10133, 1049, 10721, 3448, 1005, 1049, 13081, 1487, 2084, 23490, 4568, 3668, 1870, 1005, 1235, 16798, 2642, 4387, 5143, 3933, 4615, 1412, 1132, 15542, 1049, 6670, 1073, 1408, 96, 5378, 7218, 1132, 5668, 1010, 12857, 1872, 29165, 1185, 1283, 1009, 9627, 30588, 1068, 25822, 1668, 12153, 7538, 1009, 10325, 19872, 20, 29165, 1185, 1283, 1009, 9627, 2440, 5466, 1131, 1202, 1009, 6794, 1124, 7660, 15379, 1057, 10306, 1255, 4975, 1132, 8426, 21123, 7958, 3239, 1064, 5307, 1054, 7430, 46, 1100, 18090, 1026, 12115, 8006, 11687, 1356, 6102, 2225, 2647, 5700, 1006, 18055, 1049, 2285, 4110, 1060, 6586, 22405, 1094, 1271, 1184, 16182, 1009, 2693, 3047, 11601, 1059, 74, 69, 8037, 72, 69, 9929, 74, 69, 8037, 72, 69, 10552, 74, 69, 8037, 72, 69, 16085, 74, 69, 8037, 72, 69, 19194, 74, 69, 8037, 72, 69, 27, 23678, 69, 8037, 72, 69, 28, 23678, 69, 8037, 72, 69, 1839, 23678, 69, 8037, 72, 69, 31, 23678, 69, 8037, 72, 69, 30, 23678, 69, 8037, 72, 69, 29, 5, 8037, 22405, 25353, 3579, 4062, 14438, 1171, 1963, 1018, 7821, 13940, 1409, 4127, 1349, 2159, 2186, 29374, 1253, 3490, 3354, 1087, 5134, 3698, 1129, 17992, 1504, 5067, 2186, 17571, 20, 15166, 22405, 1504, 1028, 28414, 72, 10040, 2604, 4110, 22405, 2159, 2971, 22405, 18, 1030, 15962, 23494, 15608, 1189, 21064, 29374, 1253, 1678, 5846, 11104, 2179, 7459, 17135, 1409, 2186, 1015, 2192, 9539, 26647, 4227, 1028, 28414, 72, 2212, 15166, 22405, 20, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2471, 8259, 18, 2621, 1479, 2052, 23, 2400, 28, 9949, 2621, 1605, 2285, 15681, 1060, 1156, 3549, 1253, 30921, 1096, 1094, 3649, 29681, 2059, 1043, 1657, 1844, 22117, 26607, 8815, 1005, 16475, 3983, 1063, 18055, 1049, 9795, 1054, 12115, 14466, 1069, 2649, 1553, 22805, 31222, 1043, 4350, 1068, 1026, 8100, 1005, 1068, 1026, 25279, 8913, 10009, 12051, 1294, 22117, 20, 1766, 21123, 5241, 1675, 8292, 8424, 1847, 1044, 1118, 2159, 1930, 2247, 1009, 1094, 4729, 5484, 1094, 2573, 1086, 3001, 1140, 1005, 1044, 1004, 1606, 2163, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2400, 30, 9949, 2621, 1479, 2052, 23, 2525, 3990, 2400, 2621, 1759, 1451, 1069, 1072, 2285, 16270, 1060, 5960, 8831, 11111, 18, 1026, 6881, 5182, 1021, 3903, 3134, 1094, 7633, 11215, 1054, 18592, 1164, 3476, 1048, 6734, 30468, 13749, 1009, 3047, 11601, 1693, 5580, 3144, 2034, 11190, 1068, 1026, 3184, 3019, 9795, 1327, 1009, 7386, 1026, 18634, 2352, 1100, 1094, 1472, 1048, 1299, 2947, 1680, 1054, 6544, 1049, 5960, 24867, 1043, 11190, 1068, 1132, 21123, 1048, 30343, 1648, 1006, 1134, 1174, 1773, 31886, 3200, 1005, 1068, 5960, 8831, 7485, 18, 1992, 1159, 1068, 1026, 3266, 5960, 8831, 20, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2471, 1442, 2400, 2621, 1479, 2052, 2443, 2102, 18, 2621, 1467, 18082, 1021, 26713, 4955, 1026, 19965, 7485, 12505, 1044, 9795, 20939, 7962, 25283, 1009, 21191, 31094, 1072, 3152, 1009, 11279, 28455, 12553, 12421, 1424, 1006, 3513, 1009, 1094, 2759, 22994, 1009, 31452, 1026, 10227, 2735, 1130, 13941, 7485, 2224, 1195, 2217, 3350, 1068, 7304, 1213, 3239, 1009, 1834, 28324, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2471, 8259, 18, 2621, 1479, 2052, 2443, 7777, 2041, 2621, 1467, 20283, 6066, 3019, 9795, 3788, 19167, 28683, 6191, 1009, 5614, 29, 17283, 1026, 2285, 2322, 23, 1060, 1134, 1174, 1773, 31886, 3200, 1054, 1094, 1271, 3456, 1121, 1009, 19659, 1184, 12977, 83, 1708, 1049, 3709, 1060, 8363, 2642, 1602, 1157, 1657, 10070, 7112, 15987, 1026, 2322, 23, 1134, 1174, 1773, 31886, 3200, 1325, 5062, 1072, 8653, 1009, 3132, 1065, 2060, 84, 1114, 27715, 1060, 14261, 3186, 1042, 11963, 1005, 1006, 1134, 1174, 1773, 4429, 13196, 1802, 1766, 22117, 1049, 3548, 1370, 1327, 12199, 1010, 1005, 20585, 1005, 1044, 1096, 11073, 1114, 25375, 1009, 2736, 3694, 1322, 1026, 9795, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2525, 25302, 2621, 1479, 2052, 25, 2400, 25302, 2621, 1605, 2951, 21492, 1041, 2526, 19, 4084, 1226, 8, 8461, 23594, 1014, 1150, 1183, 2198, 8912, 1026, 1946, 10114, 1876, 8, 1511, 8691, 1026, 29173, 8628, 12247, 1068, 1006, 7485, 12553, 12421, 20189, 1148, 1009, 1456, 1791, 17430, 1048, 1264, 1592, 6513, 3022, 23594, 1014, 2000, 1079, 1668, 9795, 1009, 6544, 1006, 13713, 2453, 1005, 28776, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2414, 5515, 2041, 2621, 1479, 2052, 28078, 31, 9949, 2621, 1605, 2285, 1360, 1060, 2200, 6360, 78, 31886, 3200, 1096, 1044, 1090, 2675, 1526, 7538, 13438, 23494, 26607, 10182, 13535, 1357, 1067, 2057, 2405, 76, 12497, 29585, 1678, 8229, 1294, 21123, 7958, 17430, 1009, 23299, 1377, 4378, 7342, 2947, 17231, 1294, 22117, 1004, 1606, 2163, 18, 1463, 14867, 3322, 1273, 1072, 30903, 7809, 1054, 12357, 30734, 1005, 2068, 1054, 3548, 1066, 1076, 13256, 1236, 1043, 11803, 2225, 4457, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2414, 25302, 2621, 1479, 2052, 24, 2084, 9238, 18, 2621, 1605, 4110, 6171, 1014, 1096, 1094, 11845, 11129, 1009, 2523, 27009, 1072, 7430, 46, 1100, 1847, 1044, 2743, 1049, 9989, 1049, 11223, 1009, 7659, 1461, 9609, 7214, 1270, 18, 13535, 1356, 16113, 5976, 9291, 1049, 6859, 1073, 1408, 96, 20604, 8528, 1144, 1079, 1267, 20, 1138, 2285, 4110, 1060, 6586, 6171, 1014, 1058, 9326, 1357, 11845, 7461, 1009, 1008, 2314, 1009, 8395, 2586, 1847, 1048, 1144, 1079, 1267, 10661, 1064, 151, 1498, 1016, 1009, 12115, 1009, 4662, 23, 1025, 2311, 5843, 28, 1025, 1711, 1124, 4029, 1566, 13592, 1054, 1044, 2743, 20939, 20, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 23, 2443, 7777, 2041, 2621, 1479, 2052, 30, 2084, 9238, 18, 2621, 17672, 5784, 8831, 31886, 3200, 26501, 6732, 2186, 1030, 2144, 1223, 1268, 6499, 1230, 29374, 1253, 1098, 31879, 2159, 1555, 10823, 3579, 1251, 7591, 2186, 2146, 1013, 1095, 9539, 2186, 25871, 1603, 1016, 3020, 6227, 3947, 1081, 1200, 1107, 4875, 2186, 2168, 3354, 1219, 2448, 1011, 2498, 26660, 1098, 31879, 1479, 9539, 8831, 2604, 5644, 9836, 2159, 9539, 14877, 1773, 2604, 15681, 1773, 12247, 18671, 23494, 19, 1321, 94, 8091, 1030, 8714, 26501, 1801, 1153, 1909, 2052, 2400, 18242, 1200, 1015, 29251, 1033, 90, 4437, 2186, 1015, 2192, 1801, 1153, 1909, 1176, 2238, 1409, 10227, 15681, 2020, 10243, 3143, 22904, 4062, 14438, 1171, 2159, 6732, 17705, 2186, 3927, 1120, 1176, 2238, 1455, 18966, 1018, 15191, 4200, 3824, 27470, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2525, 5515, 2041, 2621, 1479, 2052, 23, 2084, 25302, 2621, 1605, 1602, 24779, 13535, 1118, 5542, 10532, 12412, 3020, 1005, 14696, 1188, 1357, 1106, 1253, 1283, 1106, 1253, 1159, 1026, 9795, 1009, 3239, 9263, 3180, 2812, 27113, 1049, 11642, 1421, 95, 8831, 10721, 1054, 7466, 2400, 1026, 2285, 3886, 1060, 11642, 1421, 95, 8831, 11631, 1096, 1006, 2360, 21269, 20939, 16777, 1060, 8116, 3225, 1049, 7659, 1054, 17451, 8145, 1009, 28491, 30909, 1, 7141, 1065, 7039, 1150, 14013, 1503, 9133, 1646, 8, 19, 3435, 1175, 675, 2098, 1265, 1065, 7039, 1150, 14013, 1503, 9133, 1646, 8, 19, 3435, 4895, 1424, 1132, 3195, 1049, 7974, 1031, 3335, 1503, 1160, 3100, 11213, 1679, 25508, 1377, 3953, 11213, 1664, 1132, 2250, 1005, 1054, 2073, 5293, 11021, 16314, 4417, 6016, 1657, 1094, 20, 14135, 79, 15515, 1592, 1493, 7325, 1005, 1006, 2348, 6411, 1516, 6394, 1044, 4982, 1810, 1006, 2252, 1124, 18446, 20, 2605, 1160, 4145, 1005, 9470, 1592, 1048, 6016, 1094, 20, 1, 1764, 13401, 6594, 1005, 1058, 18593, 1184, 1060, 6317, 1009, 30849, 1175, 7436, 16895, 1049, 2709, 19648, 13401, 6594, 1005, 1058, 18593, 1184, 1060, 6317, 1009, 30849, 16314, 1026, 2277, 25601, 10822, 1343, 1060, 15539, 1048, 2922, 1006, 8900, 1054, 23089, 11235, 1846, 1009, 1184, 1009, 1044, 3681, 1467, 96, 1075, 1027, 7918, 1006, 4744, 1054, 10007, 27342, 1060, 4137, 32, 1084, 9917, 16668, 1605, 16305, 3857, 1048, 2232, 7776, 1026, 9061, 1009, 2224, 0, 41, 1060, 3696, 2429, 9710, 27195, 1195, 3863, 1069, 1043, 1006, 4744, 1049, 1764, 13401, 1118, 1083, 1006, 1559, 1322, 1026, 1632, 3814, 21512, 1072, 1062, 3083, 20, 3126, 1026, 2277, 25601, 10822, 1343, 1060, 15539, 1048, 2922, 1006, 8900, 1054, 23089, 11235, 1846, 1009, 1184, 1009, 1044, 12686, 1005, 1048, 4715, 1026, 16343, 1027, 1006, 6631, 1094, 9013, 1044, 2574, 1712, 1068, 1006, 6317, 1009, 30849, 1711, 2364, 1009, 2125, 20768, 1138, 3872, 2933, 1060, 5618, 1195, 1717, 18, 1049, 15545, 30498, 29715, 1048, 3708, 1006, 5095, 1169, 14773, 1463, 1569, 13436, 1005, 9135, 1072, 4249, 1049, 2933, 1986, 2736, 1885, 71, 1009, 3971, 1009, 9646, 2915, 1723, 1048, 17422, 1379, 1114, 1211, 1167, 1072, 2738, 1049, 2277, 8410, 1424, 1026, 14097, 1026, 1764, 13401, 4064, 1006, 4984, 3328, 1005, 14146, 2156, 9423, 18, 2364, 4491, 2940, 1054, 2224, 0, 1114, 4806, 1009, 6228, 1060, 7987, 10358, 5011, 1026, 1632, 3814, 21512, 6856, 1114, 6317, 1009, 13836, 3784, 2364, 1054, 1578, 0, 18, 1043, 3727, 3328, 26440, 1184, 1764, 13401, 9083, 16118, 2529, 91, 16657, 1068, 4305, 2666, 1060, 7987, 1062, 1605, 16343, 1027, 7208, 1097, 1182 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1135, 2367, 1789, 1164, 1068, 1026, 9222, 1051, 1104, 2816, 1060, 30544, 22956, 1006, 1224, 7275, 1425, 1149, 1043, 2277, 14950, 7990, 11758, 10283, 0, 17480, 3679, 1049, 9112, 1187, 7910, 1229, 1005, 1026, 24106, 1374, 13289, 1187, 8738, 10336, 1009, 4786, 4854, 2528, 3073, 1608, 1005, 1240, 1263, 1608, 18, 1048, 3004, 23487, 19356, 2823, 2765, 8657, 1273, 4360, 1208, 3992, 1664, 1132, 1210, 1692, 14034, 14767, 1018, 1005, 1043, 12303, 1034, 1018, 1271, 4730, 1580, 2823, 2765, 33, 5142, 0, 17480, 3679, 1060, 1863, 1236, 20452, 33, 6013, 0, 2642, 1078, 1346, 1187, 4224, 1478, 3045, 1452, 1005, 4527, 1303, 2357, 1049, 4113, 1276, 53, 19438, 18, 1048, 27914, 1009, 2924, 24422, 1126, 2177, 8160, 1188, 1043, 1006, 5865, 29045, 1072, 20826, 20, 16160, 1091, 33, 1005, 1026, 8157, 1820, 6146, 1048, 4659, 1114, 1011, 1270, 71, 1305, 1124, 1638, 1040, 84, 1436, 4730, 5006, 2177, 8160, 1188, 1043, 1124, 22500, 4730, 1580, 1072, 20826, 20, 1779, 1999, 17974, 9002, 6210, 26960, 1782, 2944, 7550, 13797, 18374, 13115, 1094, 1807, 1591, 5997, 2319, 1114, 3621, 1009, 1067, 1932, 78, 2902, 1054, 27654, 18, 1005, 1030, 169, 2905, 1124, 5220, 20385, 2829, 1413, 23197, 157, 8841, 1392, 1005, 4730, 1580, 1374, 675, 174, 1812, 1549, 15858, 1048, 3768, 1049, 14990, 11287, 1049, 1831, 4542, 157, 82, 1459, 1009, 1180, 174, 86, 7175, 9493, 1195, 27149, 1054, 1910, 12569, 1097, 1361, 1005, 22174, 1159, 6483, 1068, 1006, 2573, 1271, 4730, 1580, 10761, 4753, 32, 1124, 7943, 13178, 1081, 1392, 4122, 1146, 3847, 1049, 2092, 5675, 1211, 5781, 6314, 1068, 1277, 1266, 1009, 2348, 5297, 1005, 3154, 79, 1118, 1184, 1009, 1044, 1210, 2095, 1114, 2573, 1187, 5226, 5785, 1018, 1009, 6015, 13401, 1043, 1734, 4784, 2585, 1048, 2492, 1648, 1124, 16596, 1273, 1005, 1048, 1323, 2518, 22856, 1005, 9656, 2241, 1679, 1456, 26905, 1932, 32, 1118, 2237, 6375, 14073, 1005, 27991, 1026, 21848, 1370, 7056, 1780, 17241, 1630, 2165, 33, 1992, 2364, 1206, 1370, 1005, 2439, 1077, 1026, 1235, 31814, 1005, 4481, 86, 1398, 1714, 14493, 2904, 3847, 18146, 7980, 11839, 1026, 6680, 1060, 13978, 9727, 1226, 1222, 2112, 1048, 1168, 3308, 1129, 150, 1007, 1124, 25352, 4730, 1580, 6788, 1026, 8241, 1096, 2218, 1100, 1026, 19438, 4960, 1927, 10757, 9732, 12223, 1033, 168, 1007, 1124, 4730, 1580, 33, 1005, 1998, 4291, 2684, 11969, 1668, 2730, 1471, 1072, 2535, 1049, 26960, 1844, 5235, 20826, 20, 5142, 68, 85, 1060, 17974, 9002, 6210, 1603, 1026, 8241, 1096, 15958, 1026, 19438, 1160, 2615, 1945, 1184, 1048, 1124, 26359, 1720, 1312, 1356, 1048, 4404, 4289, 1048, 1160, 1008, 1628, 1040, 2684, 11969, 1006, 5878, 20, 17974, 9002, 6210, 26960, 22993, 2443, 1005, 1844, 5963, 20826, 20, 19595, 20, 1, 19251, 1006, 2323, 1009, 2052, 2400, 25302, 2621, 1479, 2052, 2525, 25302, 2621, 5, 5940, 1313, 2475, 3008, 1097, 5156, 1072, 3152, 1049, 4657, 6191, 1009, 11279, 28455, 12553, 20662, 1114, 1313, 2475, 1773, 1005, 1134, 1174, 1773, 4429, 13196, 1324, 1989, 19659, 1009, 16373, 18670, 1006, 11997, 2042, 1049, 9795, 28174, 1009, 4658, 5056, 1005, 1009, 1235, 5603, 1009, 5231, 1043, 1124, 11594, 3712, 3944, 1728, 1138, 4984, 61, 2830, 1225, 2128, 8292, 8424, 1847, 1791, 1118, 2159, 1930, 10868, 1124, 8716, 1678, 1048, 9577, 1043, 8004, 1010, 1791, 1005, 2125, 24369, 3737, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2394, 5900, 2400, 2621, 1479, 2052, 23, 2471, 9238, 18, 2621, 1605, 4110, 22405, 1096, 13839, 1094, 3733, 1009, 3374, 7, 1138, 10133, 1049, 10721, 3448, 1005, 1049, 13081, 1487, 2084, 23490, 4568, 3668, 1870, 1005, 1235, 16798, 2642, 4387, 5143, 3933, 4615, 1412, 1132, 15542, 1049, 6670, 1073, 1408, 96, 5378, 7218, 1132, 5668, 1010, 12857, 1872, 29165, 1185, 1283, 1009, 9627, 30588, 1068, 25822, 1668, 12153, 7538, 1009, 10325, 19872, 20, 29165, 1185, 1283, 1009, 9627, 2440, 5466, 1131, 1202, 1009, 6794, 1124, 7660, 15379, 1057, 10306, 1255, 4975, 1132, 8426, 21123, 7958, 3239, 1064, 5307, 1054, 7430, 46, 1100, 18090, 1026, 12115, 8006, 11687, 1356, 6102, 2225, 2647, 5700, 1006, 18055, 1049, 2285, 4110, 1060, 6586, 22405, 1094, 1271, 1184, 16182, 1009, 2693, 3047, 11601, 1059, 74, 69, 8037, 72, 69, 9929, 74, 69, 8037, 72, 69, 10552, 74, 69, 8037, 72, 69, 16085, 74, 69, 8037, 72, 69, 19194, 74, 69, 8037, 72, 69, 27, 23678, 69, 8037, 72, 69, 28, 23678, 69, 8037, 72, 69, 1839, 23678, 69, 8037, 72, 69, 31, 23678, 69, 8037, 72, 69, 30, 23678, 69, 8037, 72, 69, 29, 5, 8037, 22405, 25353, 3579, 4062, 14438, 1171, 1963, 1018, 7821, 13940, 1409, 4127, 1349, 2159, 2186, 29374, 1253, 3490, 3354, 1087, 5134, 3698, 1129, 17992, 1504, 5067, 2186, 17571, 20, 15166, 22405, 1504, 1028, 28414, 72, 10040, 2604, 4110, 22405, 2159, 2971, 22405, 18, 1030, 15962, 23494, 15608, 1189, 21064, 29374, 1253, 1678, 5846, 11104, 2179, 7459, 17135, 1409, 2186, 1015, 2192, 9539, 26647, 4227, 1028, 28414, 72, 2212, 15166, 22405, 20, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2471, 8259, 18, 2621, 1479, 2052, 23, 2400, 28, 9949, 2621, 1605, 2285, 15681, 1060, 1156, 3549, 1253, 30921, 1096, 1094, 3649, 29681, 2059, 1043, 1657, 1844, 22117, 26607, 8815, 1005, 16475, 3983, 1063, 18055, 1049, 9795, 1054, 12115, 14466, 1069, 2649, 1553, 22805, 31222, 1043, 4350, 1068, 1026, 8100, 1005, 1068, 1026, 25279, 8913, 10009, 12051, 1294, 22117, 20, 1766, 21123, 5241, 1675, 8292, 8424, 1847, 1044, 1118, 2159, 1930, 2247, 1009, 1094, 4729, 5484, 1094, 2573, 1086, 3001, 1140, 1005, 1044, 1004, 1606, 2163, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2400, 30, 9949, 2621, 1479, 2052, 23, 2525, 3990, 2400, 2621, 1759, 1451, 1069, 1072, 2285, 16270, 1060, 5960, 8831, 11111, 18, 1026, 6881, 5182, 1021, 3903, 3134, 1094, 7633, 11215, 1054, 18592, 1164, 3476, 1048, 6734, 30468, 13749, 1009, 3047, 11601, 1693, 5580, 3144, 2034, 11190, 1068, 1026, 3184, 3019, 9795, 1327, 1009, 7386, 1026, 18634, 2352, 1100, 1094, 1472, 1048, 1299, 2947, 1680, 1054, 6544, 1049, 5960, 24867, 1043, 11190, 1068, 1132, 21123, 1048, 30343, 1648, 1006, 1134, 1174, 1773, 31886, 3200, 1005, 1068, 5960, 8831, 7485, 18, 1992, 1159, 1068, 1026, 3266, 5960, 8831, 20, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2471, 1442, 2400, 2621, 1479, 2052, 2443, 2102, 18, 2621, 1467, 18082, 1021, 26713, 4955, 1026, 19965, 7485, 12505, 1044, 9795, 20939, 7962, 25283, 1009, 21191, 31094, 1072, 3152, 1009, 11279, 28455, 12553, 12421, 1424, 1006, 3513, 1009, 1094, 2759, 22994, 1009, 31452, 1026, 10227, 2735, 1130, 13941, 7485, 2224, 1195, 2217, 3350, 1068, 7304, 1213, 3239, 1009, 1834, 28324, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2471, 8259, 18, 2621, 1479, 2052, 2443, 7777, 2041, 2621, 1467, 20283, 6066, 3019, 9795, 3788, 19167, 28683, 6191, 1009, 5614, 29, 17283, 1026, 2285, 2322, 23, 1060, 1134, 1174, 1773, 31886, 3200, 1054, 1094, 1271, 3456, 1121, 1009, 19659, 1184, 12977, 83, 1708, 1049, 3709, 1060, 8363, 2642, 1602, 1157, 1657, 10070, 7112, 15987, 1026, 2322, 23, 1134, 1174, 1773, 31886, 3200, 1325, 5062, 1072, 8653, 1009, 3132, 1065, 2060, 84, 1114, 27715, 1060, 14261, 3186, 1042, 11963, 1005, 1006, 1134, 1174, 1773, 4429, 13196, 1802, 1766, 22117, 1049, 3548, 1370, 1327, 12199, 1010, 1005, 20585, 1005, 1044, 1096, 11073, 1114, 25375, 1009, 2736, 3694, 1322, 1026, 9795, 3590, 1020, 14557, 1006, 2323, 1009, 2052, 2525, 25302, 2621, 1479, 2052, 25, 2400, 25302, 2621, 1605, 2951, 21492, 1041, 2526, 19, 4084, 1226, 8, 8461, 23594, 1014, 1150, 1183, 2198, 8912, 1026, 1946, 10114, 1876, 8, 1511, 8691, 1026, 29173, 8628, 12247, 1068, 1006, 7485, 12553, 12421, 20189, 1148, 1009, 1456, 1791, 17430, 1048, 1264, 1592, 6513, 3022, 23594, 1014, 2000, 1079, 1668, 9795, 1009, 6544, 1006, 13713, 2453, 1005, 28776, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2414, 5515, 2041, 2621, 1479, 2052, 28078, 31, 9949, 2621, 1605, 2285, 1360, 1060, 2200, 6360, 78, 31886, 3200, 1096, 1044, 1090, 2675, 1526, 7538, 13438, 23494, 26607, 10182, 13535, 1357, 1067, 2057, 2405, 76, 12497, 29585, 1678, 8229, 1294, 21123, 7958, 17430, 1009, 23299, 1377, 4378, 7342, 2947, 17231, 1294, 22117, 1004, 1606, 2163, 18, 1463, 14867, 3322, 1273, 1072, 30903, 7809, 1054, 12357, 30734, 1005, 2068, 1054, 3548, 1066, 1076, 13256, 1236, 1043, 11803, 2225, 4457, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2414, 25302, 2621, 1479, 2052, 24, 2084, 9238, 18, 2621, 1605, 4110, 6171, 1014, 1096, 1094, 11845, 11129, 1009, 2523, 27009, 1072, 7430, 46, 1100, 1847, 1044, 2743, 1049, 9989, 1049, 11223, 1009, 7659, 1461, 9609, 7214, 1270, 18, 13535, 1356, 16113, 5976, 9291, 1049, 6859, 1073, 1408, 96, 20604, 8528, 1144, 1079, 1267, 20, 1138, 2285, 4110, 1060, 6586, 6171, 1014, 1058, 9326, 1357, 11845, 7461, 1009, 1008, 2314, 1009, 8395, 2586, 1847, 1048, 1144, 1079, 1267, 10661, 1064, 151, 1498, 1016, 1009, 12115, 1009, 4662, 23, 1025, 2311, 5843, 28, 1025, 1711, 1124, 4029, 1566, 13592, 1054, 1044, 2743, 20939, 20, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 23, 2443, 7777, 2041, 2621, 1479, 2052, 30, 2084, 9238, 18, 2621, 17672, 5784, 8831, 31886, 3200, 26501, 6732, 2186, 1030, 2144, 1223, 1268, 6499, 1230, 29374, 1253, 1098, 31879, 2159, 1555, 10823, 3579, 1251, 7591, 2186, 2146, 1013, 1095, 9539, 2186, 25871, 1603, 1016, 3020, 6227, 3947, 1081, 1200, 1107, 4875, 2186, 2168, 3354, 1219, 2448, 1011, 2498, 26660, 1098, 31879, 1479, 9539, 8831, 2604, 5644, 9836, 2159, 9539, 14877, 1773, 2604, 15681, 1773, 12247, 18671, 23494, 19, 1321, 94, 8091, 1030, 8714, 26501, 1801, 1153, 1909, 2052, 2400, 18242, 1200, 1015, 29251, 1033, 90, 4437, 2186, 1015, 2192, 1801, 1153, 1909, 1176, 2238, 1409, 10227, 15681, 2020, 10243, 3143, 22904, 4062, 14438, 1171, 2159, 6732, 17705, 2186, 3927, 1120, 1176, 2238, 1455, 18966, 1018, 15191, 4200, 3824, 27470, 8145, 1009, 28491, 30909, 2503, 1020, 14557, 1006, 2323, 1009, 2052, 2525, 5515, 2041, 2621, 1479, 2052, 23, 2084, 25302, 2621, 1605, 1602, 24779, 13535, 1118, 5542, 10532, 12412, 3020, 1005, 14696, 1188, 1357, 1106, 1253, 1283, 1106, 1253, 1159, 1026, 9795, 1009, 3239, 9263, 3180, 2812, 27113, 1049, 11642, 1421, 95, 8831, 10721, 1054, 7466, 2400, 1026, 2285, 3886, 1060, 11642, 1421, 95, 8831, 11631, 1096, 1006, 2360, 21269, 20939, 16777, 1060, 8116, 3225, 1049, 7659, 1054, 17451, 8145, 1009, 28491, 30909, 1, 7141, 1065, 7039, 1150, 14013, 1503, 9133, 1646, 8, 19, 3435, 1175, 675, 2098, 1265, 1065, 7039, 1150, 14013, 1503, 9133, 1646, 8, 19, 3435, 4895, 1424, 1132, 3195, 1049, 7974, 1031, 3335, 1503, 1160, 3100, 11213, 1679, 25508, 1377, 3953, 11213, 1664, 1132, 2250, 1005, 1054, 2073, 5293, 11021, 16314, 4417, 6016, 1657, 1094, 20, 14135, 79, 15515, 1592, 1493, 7325, 1005, 1006, 2348, 6411, 1516, 6394, 1044, 4982, 1810, 1006, 2252, 1124, 18446, 20, 2605, 1160, 4145, 1005, 9470, 1592, 1048, 6016, 1094, 20, 1, 1764, 13401, 6594, 1005, 1058, 18593, 1184, 1060, 6317, 1009, 30849, 1175, 7436, 16895, 1049, 2709, 19648, 13401, 6594, 1005, 1058, 18593, 1184, 1060, 6317, 1009, 30849, 16314, 1026, 2277, 25601, 10822, 1343, 1060, 15539, 1048, 2922, 1006, 8900, 1054, 23089, 11235, 1846, 1009, 1184, 1009, 1044, 3681, 1467, 96, 1075, 1027, 7918, 1006, 4744, 1054, 10007, 27342, 1060, 4137, 32, 1084, 9917, 16668, 1605, 16305, 3857, 1048, 2232, 7776, 1026, 9061, 1009, 2224, 0, 41, 1060, 3696, 2429, 9710, 27195, 1195, 3863, 1069, 1043, 1006, 4744, 1049, 1764, 13401, 1118, 1083, 1006, 1559, 1322, 1026, 1632, 3814, 21512, 1072, 1062, 3083, 20, 3126, 1026, 2277, 25601, 10822, 1343, 1060, 15539, 1048, 2922, 1006, 8900, 1054, 23089, 11235, 1846, 1009, 1184, 1009, 1044, 12686, 1005, 1048, 4715, 1026, 16343, 1027, 1006, 6631, 1094, 9013, 1044, 2574, 1712, 1068, 1006, 6317, 1009, 30849, 1711, 2364, 1009, 2125, 20768, 1138, 3872, 2933, 1060, 5618, 1195, 1717, 18, 1049, 15545, 30498, 29715, 1048, 3708, 1006, 5095, 1169, 14773, 1463, 1569, 13436, 1005, 9135, 1072, 4249, 1049, 2933, 1986, 2736, 1885, 71, 1009, 3971, 1009, 9646, 2915, 1723, 1048, 17422, 1379, 1114, 1211, 1167, 1072, 2738, 1049, 2277, 8410, 1424, 1026, 14097, 1026, 1764, 13401, 4064, 1006, 4984, 3328, 1005, 14146, 2156, 9423, 18, 2364, 4491, 2940, 1054, 2224, 0, 1114, 4806, 1009, 6228, 1060, 7987, 10358, 5011, 1026, 1632, 3814, 21512, 6856, 1114, 6317, 1009, 13836, 3784, 2364, 1054, 1578, 0, 18, 1043, 3727, 3328, 26440, 1184, 1764, 13401, 9083, 16118, 2529, 91, 16657, 1068, 4305, 2666, 1060, 7987, 1062, 1605, 16343, 1027, 7208, 1097, 1182 ]

[ 3160, 1014, 2513, 71, 3743, 4528, 1018, 24115, 1068, 1026, 2859, 32, 1257, 1257, 11772, 1271, 4496, 13390, 1322, 18839, 56, 3083, 2805, 25965, 24552, 1096, 7472, 37, 1257, 1257, 1063, 15, 2778, 1191, 29588, 1708, 7959, 1005, 11416, 23489, 1257, 1106, 15, 2656, 1096, 7079, 1068, 3472, 1667, 1257, 1062, 15, 2013, 4114, 1365, 1124, 8186, 1009, 6450, 1009, 12795, 20, 1257, 1119, 15, 1955, 30745, 11783, 1005, 7757, 1009, 11783, 8671, 1068, 5943, 1009, 1861, 1667, 1257, 1084, 15, 25630, 1197, 7337, 20305, 1005, 3918, 1009, 14244, 1074, 19656, 20, 1, 1505, 7855, 22900, 1233, 2511, 4960, 32, 11955, 1026, 2511, 4025, 1005, 5342, 1006, 4169, 10758, 1068, 6679, 1233, 14346, 10628, 2335, 32, 10119, 20717, 1043, 1026, 29042, 6898, 1707, 1009, 12922, 1048, 2257, 2256, 1910, 4031, 1005, 1132, 28500, 1079, 1495, 1026, 7711, 1060, 1502, 3097, 1005, 1846, 1132, 28500, 1079, 1068, 4885, 14399, 1503, 1160, 3002, 3524, 1026, 5434, 1009, 4516, 1715, 8399, 1295, 1264, 19322, 6329, 18717, 1048, 1516, 11342, 29674, 4918, 20724, 23509, 1737, 4039, 3179, 8486, 31221, 1034, 1009, 2624, 1213, 2729, 1187, 2864, 1005, 1009, 3473, 1871, 1160, 12974, 3433, 1072, 2092, 4861, 1213, 2729, 1187, 2864, 1503, 25786, 2464, 3702, 1299, 10030, 9773, 1009, 8462, 1068, 1026, 4604, 1503, 15893, 27591, 1068, 1044, 8407, 1009, 1094, 1200, 2095, 4541, 1206, 2088, 7872, 1058, 6157, 2652, 11212, 1040, 1146, 1208, 1094, 5096, 1198, 16655, 2166, 1005, 1044, 16714, 1049, 1638, 1009, 1359, 27552, 3441, 1024, 1068, 1132, 11654, 1018, 1206, 4848, 4797, 1054, 1094, 7344, 1233, 13786, 21450, 1054, 1702, 2269, 1159, 25823, 72, 7541, 77, 2975, 1005, 3711, 22571, 1006, 5530, 8363, 28385, 1503, 3711, 27991, 1006, 5593, 1026, 2092, 3266, 1376, 8015, 1309, 8837, 1072, 1852, 1009, 1094, 7344, 1054, 2531, 1054, 19047, 1269, 78, 1336, 16382, 1006, 7061, 1009, 4125, 1702, 1557, 1043, 1044, 1187, 4859, 3354, 5659, 19353, 1054, 4516, 21086, 1071, 1816, 18, 1026, 4041, 1503, 1998, 5192, 22276, 1309, 1857, 1826, 14665, 1072, 7835, 1791, 3960, 2380, 1009, 6228, 16511, 1565, 3126, 5573, 1063, 5028, 1126, 1235, 16920, 2216, 85, 9381, 4948, 1005, 3230, 1977, 1508, 1006, 5574, 1224, 2360, 16723, 20151, 1068, 1006, 10465, 1044, 5441, 2005, 1119, 2450, 4479, 1425, 1025, 23110, 3363, 1093, 1048, 5103, 1356, 1720, 1009, 4206, 3333, 20, 9891, 1836, 5595, 1043, 1026, 3943, 20562, 20562, 20562, 53, 46, 1082, 63, 1163, 9753, 1941, 22268, 1163, 8820, 18303, 20840, 4436, 1207, 2053, 4562, 20797, 42, 8, 1542, 1295, 1231, 1009, 1178, 1044, 7204, 25107, 3057, 1531, 1005, 10335, 1132, 4101, 1049, 15405, 1049, 3419, 1133, 1009, 16431, 1327, 2289, 1026, 1048, 1299, 3135, 1663, 1124, 15658, 1170, 28261, 2170, 1054, 4702, 12928, 1024, 1054, 1456, 20781, 3983, 10770, 26989, 1508, 1049, 8994, 18, 13483, 1437, 3035, 30448, 24428, 1060, 20504, 14540, 1609, 1049, 1570, 1049, 3826, 4593, 1074, 1066, 1009, 9773, 1006, 23627, 1009, 1603, 1029, 1043, 1094, 1064, 1140, 1328, 1009, 3419, 2917, 1054, 6339, 1925, 1776, 1816, 18, 1005, 4854, 1131, 1077, 14661, 1005, 2920, 7225, 1033, 9185, 1043, 1006, 2531, 1054, 10859, 3930, 1017, 5312, 15, 1005, 1195, 3441, 19748, 2654, 4540, 1663, 1094, 1807, 28301, 2307, 1175, 1058, 1299, 5037, 26649, 1356, 4037, 5546, 1005, 1998, 1298, 2258, 1014, 1054, 1094, 7344, 1060, 1641, 2979, 1009, 12163, 4516, 1206, 6119, 1106, 3082, 2909, 19729, 5482, 1728, 3882, 4580, 1026, 5434, 1068, 3711, 3935, 5793, 7003, 1009, 10155, 7739, 1005, 8211, 1005, 2631, 2712, 1667, 1138, 1048, 1184, 1299, 1620, 3135, 37, 22502, 12155, 4733, 1026, 1852, 1060, 8211, 1026, 6971, 32, 18792, 32, 1175, 6178, 2598, 1184, 9773, 150, 4516, 1175, 6178, 21923, 4845, 1006, 4516, 1175, 1160, 2266, 14307, 1175, 6178, 2598, 1184, 22851, 1132, 3354, 24132, 1166, 1257, 21567, 2083, 6665, 5136, 21923, 6423, 1068, 4516, 1, 8020, 4960, 32, 2800, 1195, 1006, 1224, 6521, 1009, 3140, 7546, 1060, 1228, 54, 7844, 9726, 1257, 6074, 4960, 32, 2800, 1195, 1006, 1224, 3513, 1009, 6521, 1114, 5947, 4389, 7644, 37, 1257, 14327, 2156, 8155, 5036, 1006, 2921, 3616, 4777, 8, 2267, 1044, 2550, 1009, 6924, 1063, 5529, 1503, 1160, 2449, 6978, 7531, 1206, 6461, 4650, 2276, 1503, 1160, 3002, 6679, 1726, 1569, 8155, 1043, 2068, 1054, 5220, 8093, 6978, 20, 1776, 2268, 3002, 9066, 1124, 2156, 8155, 1005, 18883, 1006, 4966, 1058, 1857, 1826, 3748, 1006, 2921, 22325, 1257, 1257, 22713, 6480, 12354, 1020, 1024, 1124, 8155, 1257, 8020, 4960, 32, 29862, 1195, 1006, 1224, 3513, 1009, 6521, 1679, 3140, 7546, 1060, 1228, 54, 7844, 6431, 1257, 6074, 4960, 32, 29862, 1195, 1006, 1224, 3513, 1009, 6521, 1114, 5947, 4389, 7644, 6431, 1257, 1257, 22713, 6221, 15101, 2616, 1132, 3974, 7274, 1257, 4891, 1016, 1124, 8155, 1826, 3748, 1322, 1094, 19914, 1364, 1979, 1009, 4771, 2063, 8, 1072, 4025, 1009, 1150, 2577, 6896, 12108, 2100, 1257, 1257, 22713, 6773, 2358, 22154, 1124, 9331, 1257, 1063, 1944, 4380, 19067, 10343, 1150, 10895, 7844, 1406, 1048, 1058, 4768, 1233, 6610, 1009, 8737, 8450, 1060, 4630, 1114, 4963, 1411, 2097, 1006, 2750, 4380, 1160, 19067, 10343, 4697, 10562, 1206, 4422, 20, 1257, 1257, 22713, 8267, 1535, 3993, 1027, 1257, 6836, 1060, 4863, 5267, 1072, 7565, 1599, 9389, 1124, 8155, 18642, 5036, 1322, 1006, 2921, 3513, 1009, 6521, 1072, 4025, 1187, 3140, 1936, 5345, 1063, 3964, 21152, 14181, 1096, 1048, 1006, 1944, 4380, 18296, 10343, 1233, 1228, 54, 7844, 1114, 4963, 1411, 2097, 1006, 2750, 4380, 1298, 1178, 1184, 17477, 1776, 2268, 1094, 1472, 1048, 1006, 1228, 54, 7844, 10752, 1026, 30674, 1009, 10504, 22432, 1020, 1114, 4963, 1411, 1096, 27609, 9462, 1048, 9389, 1124, 8155, 1826, 3748, 1322, 1006, 2921, 3616, 2100, 1, 24287, 1636, 12410, 1175, 1776, 14494, 29886, 1044, 23240, 1468, 1096, 1044, 4868, 1060, 6642, 14901, 3204, 3479, 21930, 1060, 5133, 25671, 1145, 15205, 1048, 3901, 4049, 1418, 14893, 8, 1071, 1130, 2300, 1637, 23959, 1538, 19065, 1048, 1096, 1006, 2596, 1159, 1044, 12168, 9090, 16257, 1044, 8349, 1060, 6642, 14901, 1063, 5133, 5813, 4084, 8, 23571, 3901, 1150, 26728, 1044, 2100, 1175, 1180, 2783, 14358, 1071, 6800, 23037, 1049, 11394, 1100, 8901, 1049, 25671, 1221, 1150, 63, 24764, 2783, 78, 1406, 10855, 2783, 78, 13678, 1054, 25671, 17525, 18, 1150, 63, 9052, 1019, 1088, 1406, 1124, 5625, 9450, 2897, 1049, 1005, 1773, 6929, 1060, 8678, 9323, 15, 18886, 1006, 9403, 18, 21857, 1411, 2706, 1005, 3756, 1009, 1834, 1049, 4113, 10315, 8668, 1138, 14494, 14358, 1096, 1094, 5530, 9403, 3118, 6625, 2038, 1126, 1043, 1006, 6642, 150, 1159, 1235, 3407, 6407, 29016, 1133, 1049, 3407, 1712, 3201, 1159, 1026, 1128, 1685, 18189, 1206, 1006, 15534, 1207, 10975, 1145, 1349, 1005, 1006, 8928, 20854, 9687, 6946, 22072, 1118, 9800, 28696, 11199, 1159, 1026, 18592, 25064, 1005, 1026, 6232, 83, 1302, 20, 1138, 14494, 14358, 1096, 5077, 2309, 14446, 18085, 1159, 1006, 6723, 1060, 2869, 1884, 7400, 1048, 3219, 11897, 1043, 1132, 5089, 1009, 9360, 20, 1424, 1365, 14337, 27, 1005, 15892, 26, 2744, 1009, 30368, 1054, 2220, 1026, 5108, 1026, 14494, 14358, 1096, 1006, 20147, 1712, 9403, 1049, 7118, 1175, 16237, 3335, 1094, 1271, 2523, 17853, 1005, 12864, 1049, 16704, 1325, 5062, 1072, 3709, 19, 27288, 1029, 1049, 8063, 20, 2013, 1006, 5704, 1184, 1865, 25310, 1049, 8063, 1118, 1094, 1807, 9130, 18, 13083, 3179, 4110, 1118, 13707, 1009, 1664, 1132, 11749, 27977, 1005, 1096, 1006, 2750, 1712, 5704, 1114, 2236, 3225, 20, 16237, 1304, 1096, 1026, 5512, 1712, 1114, 2236, 3225, 1511, 1132, 12864, 1187, 19514, 3737, 1049, 1144, 12885, 1005, 25959, 1179, 1088, 1826, 1866, 1794, 1554, 2013, 1026, 4774, 1060, 3861, 1049, 6402, 9584, 1076, 27197, 1005, 1006, 1641, 1184, 1865, 25310, 1049, 6402, 6642, 1500, 1667, 1175, 8063, 4932, 5976, 32, 6190, 1096, 1044, 1908, 1114, 6746, 3184, 1060, 3836, 1049, 20875, 13648, 2256, 17853, 1005, 2125, 12864, 1058, 12352, 1040, 1049, 16110, 1213, 17468, 1005, 1213, 3184, 1068, 1026, 15755, 29219, 2274, 2736, 88, 9916, 12502, 1026, 2277, 1712, 1908, 1049, 1784, 1118, 2236, 3225, 1005, 1026, 5512, 1712, 1908, 1118, 2236, 1009, 26843, 1063, 7858, 1049, 8063, 1043, 1132, 2138, 2365, 1096, 1006, 7858, 22800, 1184, 4680, 1049, 7118, 1063, 3364, 1049, 1908, 1225, 1044, 8393, 9061, 1206, 23274, 1250, 9061, 1009, 29115, 1309, 1124, 3905, 1049, 3821, 1327, 19398, 1072, 1419, 3320, 1138, 8063, 1096, 2574, 4113, 1599, 1006, 3364, 1009, 1235, 5449, 22800, 1847, 6097, 1069, 1118, 13573, 1005, 1030, 1425, 1007, 1005, 1124, 4143, 6700, 8729, 1932, 1728, 22870, 1009, 2848, 14371, 1010, 1060, 2779, 1049, 1908, 1009, 8060, 2744, 1009, 1783, 1096, 15706, 4917, 1005, 8983, 4236, 1060, 7858, 3821, 20, 4490, 3861, 1096, 9584, 1076, 27197, 1224, 1712, 1641, 1096, 23912, 33, 2089, 3056, 3905, 29517, 5241, 14709, 31082, 19797, 3270, 1645, 2196, 2611, 9922, 3529, 23516, 1087, 20647, 1313, 8099, 1192, 1259, 1005, 17723, 20, 16774, 1163, 1523, 2048, 18455, 23644, 1062, 6540, 1138, 2338, 1012, 1071, 1083, 1009, 3113, 1009, 21675, 1175, 1175, 1799, 1009, 3403, 1009, 3977, 15, 1195, 1044, 23240, 1468, 1005, 2566, 1060, 20020, 20, 18455, 1088, 1195, 1026, 23240, 1468, 1049, 25587, 1009, 4760, 95, 1106, 24688, 1104, 1054, 23912, 1118, 2754, 9683, 1005, 2271, 13850, 1195, 1235, 5611, 1586, 4568, 1078, 3144, 1175, 12014, 5838, 19065, 9094, 1006, 1641, 1009, 21663, 1096, 1006, 5994, 1641, 1184, 1865, 25310, 1187, 2138, 6547, 1005, 1006, 5355, 1641, 1184, 1865, 25310, 1060, 3836, 1049, 20875, 1424, 1184, 1009, 4662, 29, 2744, 1009, 13409, 1096, 1006, 1641, 1184, 1865, 25310, 1049, 2497, 1009, 24163, 1005, 1049, 12078, 9706, 1553, 1187, 2138, 6547, 1005, 1006, 4799, 1049, 8210, 1049, 8688, 1009, 14087, 20, 1063, 2236, 24119, 1009, 21663, 2739, 2624, 20012, 1159, 9321, 77, 1078, 1330, 18, 1225, 3179, 1782, 2744, 1009, 1783, 1005, 1096, 1006, 5994, 1712, 1187, 23465, 1175, 1138, 25587, 1060, 12241, 1713, 9140, 1096, 1094, 3909, 1165, 14424, 1060, 20020, 4725, 1114, 7334, 1106, 3082, 1189, 1042, 1009, 11436, 1054, 6642, 1500, 1100, 16237, 3335, 8063, 20, 2013, 1006, 1184, 5530, 7520, 16685, 30402, 1009, 6642, 1500, 1667, 5508, 1140, 1054, 8139, 2443, 1225, 1184, 1009, 1779, 6435, 3948, 20, 10100, 1163, 1523, 2048, 18455, 23644, 1048, 6229, 1054, 1799, 1009, 3403, 1009, 3977, 1679, 15312, 2864, 1195, 1044, 23240, 1468, 22922, 1009, 4680, 3164, 1068, 2237, 3909, 1165, 1185, 1377, 1082, 3288, 11667, 1005, 26020, 5241, 4242, 15228, 15056, 1736, 1005, 5464, 74, 4568, 17864, 96, 1048, 6470, 20002, 1068, 2837, 1026, 5464, 74, 4568, 17864, 96, 21, 14141, 15228, 15056, 1736, 2686, 1013, 1234, 1180, 1835, 4396, 2152, 25032, 1072, 4760, 95, 1106, 24688, 1104, 18438, 11777, 4242, 15228, 15056, 1736, 19479, 1054, 3771, 1009, 3383, 1009, 2879, 7375, 1096, 1094, 1721, 1896, 1005, 31862, 1035, 2002, 15849, 20, 15056, 1736, 1096, 1026, 11054, 1005, 4148, 10470, 1060, 11228, 1009, 22486, 15849, 4105, 1477, 9942, 89, 2159, 7411, 20, 3720, 1096, 1006, 31797, 1425, 3013, 1005, 1006, 21703, 5134, 1007, 12824, 1009, 23971, 1667, 1175, 23912, 1096, 1006, 1641, 1184, 1865, 25310, 1049, 16704, 1006, 3861, 24224, 1230, 1009, 16237, 3335, 1005, 1026, 3709, 1060, 3279, 14410, 1009, 6642, 1500, 1100, 1006, 2236, 24119, 1184, 1865, 25310, 1049, 8063, 20, 1062, 1074, 8140, 1114, 17224, 1026, 6967, 1009, 4127, 13447, 1094, 2779, 1009, 4004, 14525, 2400, 13290, 3211, 1482, 7230, 1006, 2779, 1096, 9527, 1054, 4004, 10703, 3006, 5900, 2414, 5700, 23912, 1006, 4886, 1712, 1641, 1060, 3836, 1049, 3826, 1043, 2068, 1114, 2779, 2453, 1009, 1456, 8654, 1009, 8363, 23912, 22848, 1657, 8114, 20647, 3047, 4516, 1005, 7365, 11358, 1118, 2237, 31801, 2097, 1096, 1026, 12035, 1712, 11106, 3608, 1318, 12014, 15, 1058, 14081, 1356, 4466, 1009, 1224, 2236, 16158, 9549, 3316, 1641, 7933, 3040, 2154, 23912, 1096, 1044, 3709, 4750, 1009, 19566, 2173, 19513, 6194, 1005, 18679, 1005, 10035, 12678, 1159, 1094, 1271, 4761, 1184, 3743, 19839, 1020, 1005, 11108, 1263, 4736, 1907, 1049, 7118, 1175, 1063, 3279, 23912, 1063, 6691, 1096, 1006, 2236, 24119, 1184, 1865, 25310, 1049, 8063, 20, 5153, 1026, 6967, 1009, 7218, 2257, 1094, 2779, 1009, 8856, 12332, 2471, 1442, 2081, 1005, 1026, 6967, 16158, 1577, 2257, 1094, 2779, 1009, 1487, 11923, 2414, 22, 4655, 13515, 1063, 3279, 14410, 1009, 23912, 1096, 11148, 1159, 1006, 1641, 5046, 1009, 6642, 1500, 1100, 1005, 1132, 2848, 6921, 13631, 1048, 1006, 9021, 1046, 32, 19539, 23640, 10192, 16211, 2929, 1045, 1005, 26509, 1063, 7614, 10241, 1060, 3279, 14410, 1009, 23912, 1096, 1118, 2624, 2627, 6336, 1043, 1006, 1641, 1009, 17723, 18, 16237, 1304, 1005, 1224, 2413, 20032, 4289, 1068, 9164 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3160, 1014, 2513, 71, 3743, 4528, 1018, 24115, 1068, 1026, 2859, 32, 1257, 1257, 11772, 1271, 4496, 13390, 1322, 18839, 56, 3083, 2805, 25965, 24552, 1096, 7472, 37, 1257, 1257, 1063, 15, 2778, 1191, 29588, 1708, 7959, 1005, 11416, 23489, 1257, 1106, 15, 2656, 1096, 7079, 1068, 3472, 1667, 1257, 1062, 15, 2013, 4114, 1365, 1124, 8186, 1009, 6450, 1009, 12795, 20, 1257, 1119, 15, 1955, 30745, 11783, 1005, 7757, 1009, 11783, 8671, 1068, 5943, 1009, 1861, 1667, 1257, 1084, 15, 25630, 1197, 7337, 20305, 1005, 3918, 1009, 14244, 1074, 19656, 20, 1, 1505, 7855, 22900, 1233, 2511, 4960, 32, 11955, 1026, 2511, 4025, 1005, 5342, 1006, 4169, 10758, 1068, 6679, 1233, 14346, 10628, 2335, 32, 10119, 20717, 1043, 1026, 29042, 6898, 1707, 1009, 12922, 1048, 2257, 2256, 1910, 4031, 1005, 1132, 28500, 1079, 1495, 1026, 7711, 1060, 1502, 3097, 1005, 1846, 1132, 28500, 1079, 1068, 4885, 14399, 1503, 1160, 3002, 3524, 1026, 5434, 1009, 4516, 1715, 8399, 1295, 1264, 19322, 6329, 18717, 1048, 1516, 11342, 29674, 4918, 20724, 23509, 1737, 4039, 3179, 8486, 31221, 1034, 1009, 2624, 1213, 2729, 1187, 2864, 1005, 1009, 3473, 1871, 1160, 12974, 3433, 1072, 2092, 4861, 1213, 2729, 1187, 2864, 1503, 25786, 2464, 3702, 1299, 10030, 9773, 1009, 8462, 1068, 1026, 4604, 1503, 15893, 27591, 1068, 1044, 8407, 1009, 1094, 1200, 2095, 4541, 1206, 2088, 7872, 1058, 6157, 2652, 11212, 1040, 1146, 1208, 1094, 5096, 1198, 16655, 2166, 1005, 1044, 16714, 1049, 1638, 1009, 1359, 27552, 3441, 1024, 1068, 1132, 11654, 1018, 1206, 4848, 4797, 1054, 1094, 7344, 1233, 13786, 21450, 1054, 1702, 2269, 1159, 25823, 72, 7541, 77, 2975, 1005, 3711, 22571, 1006, 5530, 8363, 28385, 1503, 3711, 27991, 1006, 5593, 1026, 2092, 3266, 1376, 8015, 1309, 8837, 1072, 1852, 1009, 1094, 7344, 1054, 2531, 1054, 19047, 1269, 78, 1336, 16382, 1006, 7061, 1009, 4125, 1702, 1557, 1043, 1044, 1187, 4859, 3354, 5659, 19353, 1054, 4516, 21086, 1071, 1816, 18, 1026, 4041, 1503, 1998, 5192, 22276, 1309, 1857, 1826, 14665, 1072, 7835, 1791, 3960, 2380, 1009, 6228, 16511, 1565, 3126, 5573, 1063, 5028, 1126, 1235, 16920, 2216, 85, 9381, 4948, 1005, 3230, 1977, 1508, 1006, 5574, 1224, 2360, 16723, 20151, 1068, 1006, 10465, 1044, 5441, 2005, 1119, 2450, 4479, 1425, 1025, 23110, 3363, 1093, 1048, 5103, 1356, 1720, 1009, 4206, 3333, 20, 9891, 1836, 5595, 1043, 1026, 3943, 20562, 20562, 20562, 53, 46, 1082, 63, 1163, 9753, 1941, 22268, 1163, 8820, 18303, 20840, 4436, 1207, 2053, 4562, 20797, 42, 8, 1542, 1295, 1231, 1009, 1178, 1044, 7204, 25107, 3057, 1531, 1005, 10335, 1132, 4101, 1049, 15405, 1049, 3419, 1133, 1009, 16431, 1327, 2289, 1026, 1048, 1299, 3135, 1663, 1124, 15658, 1170, 28261, 2170, 1054, 4702, 12928, 1024, 1054, 1456, 20781, 3983, 10770, 26989, 1508, 1049, 8994, 18, 13483, 1437, 3035, 30448, 24428, 1060, 20504, 14540, 1609, 1049, 1570, 1049, 3826, 4593, 1074, 1066, 1009, 9773, 1006, 23627, 1009, 1603, 1029, 1043, 1094, 1064, 1140, 1328, 1009, 3419, 2917, 1054, 6339, 1925, 1776, 1816, 18, 1005, 4854, 1131, 1077, 14661, 1005, 2920, 7225, 1033, 9185, 1043, 1006, 2531, 1054, 10859, 3930, 1017, 5312, 15, 1005, 1195, 3441, 19748, 2654, 4540, 1663, 1094, 1807, 28301, 2307, 1175, 1058, 1299, 5037, 26649, 1356, 4037, 5546, 1005, 1998, 1298, 2258, 1014, 1054, 1094, 7344, 1060, 1641, 2979, 1009, 12163, 4516, 1206, 6119, 1106, 3082, 2909, 19729, 5482, 1728, 3882, 4580, 1026, 5434, 1068, 3711, 3935, 5793, 7003, 1009, 10155, 7739, 1005, 8211, 1005, 2631, 2712, 1667, 1138, 1048, 1184, 1299, 1620, 3135, 37, 22502, 12155, 4733, 1026, 1852, 1060, 8211, 1026, 6971, 32, 18792, 32, 1175, 6178, 2598, 1184, 9773, 150, 4516, 1175, 6178, 21923, 4845, 1006, 4516, 1175, 1160, 2266, 14307, 1175, 6178, 2598, 1184, 22851, 1132, 3354, 24132, 1166, 1257, 21567, 2083, 6665, 5136, 21923, 6423, 1068, 4516, 1, 8020, 4960, 32, 2800, 1195, 1006, 1224, 6521, 1009, 3140, 7546, 1060, 1228, 54, 7844, 9726, 1257, 6074, 4960, 32, 2800, 1195, 1006, 1224, 3513, 1009, 6521, 1114, 5947, 4389, 7644, 37, 1257, 14327, 2156, 8155, 5036, 1006, 2921, 3616, 4777, 8, 2267, 1044, 2550, 1009, 6924, 1063, 5529, 1503, 1160, 2449, 6978, 7531, 1206, 6461, 4650, 2276, 1503, 1160, 3002, 6679, 1726, 1569, 8155, 1043, 2068, 1054, 5220, 8093, 6978, 20, 1776, 2268, 3002, 9066, 1124, 2156, 8155, 1005, 18883, 1006, 4966, 1058, 1857, 1826, 3748, 1006, 2921, 22325, 1257, 1257, 22713, 6480, 12354, 1020, 1024, 1124, 8155, 1257, 8020, 4960, 32, 29862, 1195, 1006, 1224, 3513, 1009, 6521, 1679, 3140, 7546, 1060, 1228, 54, 7844, 6431, 1257, 6074, 4960, 32, 29862, 1195, 1006, 1224, 3513, 1009, 6521, 1114, 5947, 4389, 7644, 6431, 1257, 1257, 22713, 6221, 15101, 2616, 1132, 3974, 7274, 1257, 4891, 1016, 1124, 8155, 1826, 3748, 1322, 1094, 19914, 1364, 1979, 1009, 4771, 2063, 8, 1072, 4025, 1009, 1150, 2577, 6896, 12108, 2100, 1257, 1257, 22713, 6773, 2358, 22154, 1124, 9331, 1257, 1063, 1944, 4380, 19067, 10343, 1150, 10895, 7844, 1406, 1048, 1058, 4768, 1233, 6610, 1009, 8737, 8450, 1060, 4630, 1114, 4963, 1411, 2097, 1006, 2750, 4380, 1160, 19067, 10343, 4697, 10562, 1206, 4422, 20, 1257, 1257, 22713, 8267, 1535, 3993, 1027, 1257, 6836, 1060, 4863, 5267, 1072, 7565, 1599, 9389, 1124, 8155, 18642, 5036, 1322, 1006, 2921, 3513, 1009, 6521, 1072, 4025, 1187, 3140, 1936, 5345, 1063, 3964, 21152, 14181, 1096, 1048, 1006, 1944, 4380, 18296, 10343, 1233, 1228, 54, 7844, 1114, 4963, 1411, 2097, 1006, 2750, 4380, 1298, 1178, 1184, 17477, 1776, 2268, 1094, 1472, 1048, 1006, 1228, 54, 7844, 10752, 1026, 30674, 1009, 10504, 22432, 1020, 1114, 4963, 1411, 1096, 27609, 9462, 1048, 9389, 1124, 8155, 1826, 3748, 1322, 1006, 2921, 3616, 2100, 1, 24287, 1636, 12410, 1175, 1776, 14494, 29886, 1044, 23240, 1468, 1096, 1044, 4868, 1060, 6642, 14901, 3204, 3479, 21930, 1060, 5133, 25671, 1145, 15205, 1048, 3901, 4049, 1418, 14893, 8, 1071, 1130, 2300, 1637, 23959, 1538, 19065, 1048, 1096, 1006, 2596, 1159, 1044, 12168, 9090, 16257, 1044, 8349, 1060, 6642, 14901, 1063, 5133, 5813, 4084, 8, 23571, 3901, 1150, 26728, 1044, 2100, 1175, 1180, 2783, 14358, 1071, 6800, 23037, 1049, 11394, 1100, 8901, 1049, 25671, 1221, 1150, 63, 24764, 2783, 78, 1406, 10855, 2783, 78, 13678, 1054, 25671, 17525, 18, 1150, 63, 9052, 1019, 1088, 1406, 1124, 5625, 9450, 2897, 1049, 1005, 1773, 6929, 1060, 8678, 9323, 15, 18886, 1006, 9403, 18, 21857, 1411, 2706, 1005, 3756, 1009, 1834, 1049, 4113, 10315, 8668, 1138, 14494, 14358, 1096, 1094, 5530, 9403, 3118, 6625, 2038, 1126, 1043, 1006, 6642, 150, 1159, 1235, 3407, 6407, 29016, 1133, 1049, 3407, 1712, 3201, 1159, 1026, 1128, 1685, 18189, 1206, 1006, 15534, 1207, 10975, 1145, 1349, 1005, 1006, 8928, 20854, 9687, 6946, 22072, 1118, 9800, 28696, 11199, 1159, 1026, 18592, 25064, 1005, 1026, 6232, 83, 1302, 20, 1138, 14494, 14358, 1096, 5077, 2309, 14446, 18085, 1159, 1006, 6723, 1060, 2869, 1884, 7400, 1048, 3219, 11897, 1043, 1132, 5089, 1009, 9360, 20, 1424, 1365, 14337, 27, 1005, 15892, 26, 2744, 1009, 30368, 1054, 2220, 1026, 5108, 1026, 14494, 14358, 1096, 1006, 20147, 1712, 9403, 1049, 7118, 1175, 16237, 3335, 1094, 1271, 2523, 17853, 1005, 12864, 1049, 16704, 1325, 5062, 1072, 3709, 19, 27288, 1029, 1049, 8063, 20, 2013, 1006, 5704, 1184, 1865, 25310, 1049, 8063, 1118, 1094, 1807, 9130, 18, 13083, 3179, 4110, 1118, 13707, 1009, 1664, 1132, 11749, 27977, 1005, 1096, 1006, 2750, 1712, 5704, 1114, 2236, 3225, 20, 16237, 1304, 1096, 1026, 5512, 1712, 1114, 2236, 3225, 1511, 1132, 12864, 1187, 19514, 3737, 1049, 1144, 12885, 1005, 25959, 1179, 1088, 1826, 1866, 1794, 1554, 2013, 1026, 4774, 1060, 3861, 1049, 6402, 9584, 1076, 27197, 1005, 1006, 1641, 1184, 1865, 25310, 1049, 6402, 6642, 1500, 1667, 1175, 8063, 4932, 5976, 32, 6190, 1096, 1044, 1908, 1114, 6746, 3184, 1060, 3836, 1049, 20875, 13648, 2256, 17853, 1005, 2125, 12864, 1058, 12352, 1040, 1049, 16110, 1213, 17468, 1005, 1213, 3184, 1068, 1026, 15755, 29219, 2274, 2736, 88, 9916, 12502, 1026, 2277, 1712, 1908, 1049, 1784, 1118, 2236, 3225, 1005, 1026, 5512, 1712, 1908, 1118, 2236, 1009, 26843, 1063, 7858, 1049, 8063, 1043, 1132, 2138, 2365, 1096, 1006, 7858, 22800, 1184, 4680, 1049, 7118, 1063, 3364, 1049, 1908, 1225, 1044, 8393, 9061, 1206, 23274, 1250, 9061, 1009, 29115, 1309, 1124, 3905, 1049, 3821, 1327, 19398, 1072, 1419, 3320, 1138, 8063, 1096, 2574, 4113, 1599, 1006, 3364, 1009, 1235, 5449, 22800, 1847, 6097, 1069, 1118, 13573, 1005, 1030, 1425, 1007, 1005, 1124, 4143, 6700, 8729, 1932, 1728, 22870, 1009, 2848, 14371, 1010, 1060, 2779, 1049, 1908, 1009, 8060, 2744, 1009, 1783, 1096, 15706, 4917, 1005, 8983, 4236, 1060, 7858, 3821, 20, 4490, 3861, 1096, 9584, 1076, 27197, 1224, 1712, 1641, 1096, 23912, 33, 2089, 3056, 3905, 29517, 5241, 14709, 31082, 19797, 3270, 1645, 2196, 2611, 9922, 3529, 23516, 1087, 20647, 1313, 8099, 1192, 1259, 1005, 17723, 20, 16774, 1163, 1523, 2048, 18455, 23644, 1062, 6540, 1138, 2338, 1012, 1071, 1083, 1009, 3113, 1009, 21675, 1175, 1175, 1799, 1009, 3403, 1009, 3977, 15, 1195, 1044, 23240, 1468, 1005, 2566, 1060, 20020, 20, 18455, 1088, 1195, 1026, 23240, 1468, 1049, 25587, 1009, 4760, 95, 1106, 24688, 1104, 1054, 23912, 1118, 2754, 9683, 1005, 2271, 13850, 1195, 1235, 5611, 1586, 4568, 1078, 3144, 1175, 12014, 5838, 19065, 9094, 1006, 1641, 1009, 21663, 1096, 1006, 5994, 1641, 1184, 1865, 25310, 1187, 2138, 6547, 1005, 1006, 5355, 1641, 1184, 1865, 25310, 1060, 3836, 1049, 20875, 1424, 1184, 1009, 4662, 29, 2744, 1009, 13409, 1096, 1006, 1641, 1184, 1865, 25310, 1049, 2497, 1009, 24163, 1005, 1049, 12078, 9706, 1553, 1187, 2138, 6547, 1005, 1006, 4799, 1049, 8210, 1049, 8688, 1009, 14087, 20, 1063, 2236, 24119, 1009, 21663, 2739, 2624, 20012, 1159, 9321, 77, 1078, 1330, 18, 1225, 3179, 1782, 2744, 1009, 1783, 1005, 1096, 1006, 5994, 1712, 1187, 23465, 1175, 1138, 25587, 1060, 12241, 1713, 9140, 1096, 1094, 3909, 1165, 14424, 1060, 20020, 4725, 1114, 7334, 1106, 3082, 1189, 1042, 1009, 11436, 1054, 6642, 1500, 1100, 16237, 3335, 8063, 20, 2013, 1006, 1184, 5530, 7520, 16685, 30402, 1009, 6642, 1500, 1667, 5508, 1140, 1054, 8139, 2443, 1225, 1184, 1009, 1779, 6435, 3948, 20, 10100, 1163, 1523, 2048, 18455, 23644, 1048, 6229, 1054, 1799, 1009, 3403, 1009, 3977, 1679, 15312, 2864, 1195, 1044, 23240, 1468, 22922, 1009, 4680, 3164, 1068, 2237, 3909, 1165, 1185, 1377, 1082, 3288, 11667, 1005, 26020, 5241, 4242, 15228, 15056, 1736, 1005, 5464, 74, 4568, 17864, 96, 1048, 6470, 20002, 1068, 2837, 1026, 5464, 74, 4568, 17864, 96, 21, 14141, 15228, 15056, 1736, 2686, 1013, 1234, 1180, 1835, 4396, 2152, 25032, 1072, 4760, 95, 1106, 24688, 1104, 18438, 11777, 4242, 15228, 15056, 1736, 19479, 1054, 3771, 1009, 3383, 1009, 2879, 7375, 1096, 1094, 1721, 1896, 1005, 31862, 1035, 2002, 15849, 20, 15056, 1736, 1096, 1026, 11054, 1005, 4148, 10470, 1060, 11228, 1009, 22486, 15849, 4105, 1477, 9942, 89, 2159, 7411, 20, 3720, 1096, 1006, 31797, 1425, 3013, 1005, 1006, 21703, 5134, 1007, 12824, 1009, 23971, 1667, 1175, 23912, 1096, 1006, 1641, 1184, 1865, 25310, 1049, 16704, 1006, 3861, 24224, 1230, 1009, 16237, 3335, 1005, 1026, 3709, 1060, 3279, 14410, 1009, 6642, 1500, 1100, 1006, 2236, 24119, 1184, 1865, 25310, 1049, 8063, 20, 1062, 1074, 8140, 1114, 17224, 1026, 6967, 1009, 4127, 13447, 1094, 2779, 1009, 4004, 14525, 2400, 13290, 3211, 1482, 7230, 1006, 2779, 1096, 9527, 1054, 4004, 10703, 3006, 5900, 2414, 5700, 23912, 1006, 4886, 1712, 1641, 1060, 3836, 1049, 3826, 1043, 2068, 1114, 2779, 2453, 1009, 1456, 8654, 1009, 8363, 23912, 22848, 1657, 8114, 20647, 3047, 4516, 1005, 7365, 11358, 1118, 2237, 31801, 2097, 1096, 1026, 12035, 1712, 11106, 3608, 1318, 12014, 15, 1058, 14081, 1356, 4466, 1009, 1224, 2236, 16158, 9549, 3316, 1641, 7933, 3040, 2154, 23912, 1096, 1044, 3709, 4750, 1009, 19566, 2173, 19513, 6194, 1005, 18679, 1005, 10035, 12678, 1159, 1094, 1271, 4761, 1184, 3743, 19839, 1020, 1005, 11108, 1263, 4736, 1907, 1049, 7118, 1175, 1063, 3279, 23912, 1063, 6691, 1096, 1006, 2236, 24119, 1184, 1865, 25310, 1049, 8063, 20, 5153, 1026, 6967, 1009, 7218, 2257, 1094, 2779, 1009, 8856, 12332, 2471, 1442, 2081, 1005, 1026, 6967, 16158, 1577, 2257, 1094, 2779, 1009, 1487, 11923, 2414, 22, 4655, 13515, 1063, 3279, 14410, 1009, 23912, 1096, 11148, 1159, 1006, 1641, 5046, 1009, 6642, 1500, 1100, 1005, 1132, 2848, 6921, 13631, 1048, 1006, 9021, 1046, 32, 19539, 23640, 10192, 16211, 2929, 1045, 1005, 26509, 1063, 7614, 10241, 1060, 3279, 14410, 1009, 23912, 1096, 1118, 2624, 2627, 6336, 1043, 1006, 1641, 1009, 17723, 18, 16237, 1304, 1005, 1224, 2413, 20032, 4289, 1068, 9164 ]

[ 1456, 1026, 17550, 25274, 1006, 1687, 1005, 1132, 25274, 1499, 18024, 10860, 5172, 1006, 1224, 3593, 8459, 1499, 13934, 5431, 1157, 8797, 1006, 1687, 14592, 1806, 1114, 2926, 10640, 3340, 79, 1195, 7264, 5780, 1068, 23146, 1006, 3940, 1009, 2926, 1009, 12785, 675, 0, 1022, 1157, 5747, 6674, 1140, 1233, 4155, 7043, 4567, 1048, 1026, 24782, 11463, 8146, 4857, 1006, 5530, 7182, 1049, 28994, 25526, 24251, 1072, 10219, 1114, 8151, 2127, 1009, 26154, 1009, 2992, 1009, 6796, 3156, 1157, 1679, 25274, 1224, 3364, 1233, 5274, 1009, 30054, 2762, 12785, 23048, 1043, 1006, 4840, 1049, 2276, 6680, 1009, 17491, 4042, 29057, 1482, 26142, 1009, 1663, 15740, 7314, 1048, 7937, 1178, 4254, 1312, 8273, 20, 2605, 1073, 3340, 79, 9934, 5233, 1026, 3245, 1017, 1135, 1009, 3072, 13174, 28300, 1157, 1271, 1569, 8582, 3758, 1580, 1159, 6012, 91, 5081, 22127, 2100, 4567, 1009, 8218, 9249, 1009, 1048, 2122, 2909, 1006, 3964, 7788, 1009, 8116, 1049, 2380, 1009, 2926, 1118, 3865, 1060, 1807, 3364, 28994, 1072, 26744, 1100, 1687, 13652, 1026, 1235, 1703, 1843, 1093, 1213, 7909, 1094, 5813, 1052, 17324, 1098, 1139, 1878, 18018, 8, 1009, 1094, 7513, 1009, 1791, 3952, 1068, 23188, 1026, 2743, 1009, 17376, 1048, 1195, 12516, 1114, 4338, 1118, 1101, 1442, 1006, 3186, 1999, 4083, 5812, 1009, 12785, 1996, 1009, 24752, 6355, 1026, 2743, 1009, 17376, 1264, 5176, 1379, 1006, 1073, 3340, 79, 1026, 3479, 1009, 15412, 1187, 3460, 23653, 1060, 4338, 1187, 19407, 1708, 25431, 24, 0, 18493, 1060, 4338, 24020, 1175, 3863, 15, 12613, 25274, 4192, 1202, 1006, 3364, 1114, 4338, 1187, 19407, 1708, 1463, 6283, 1009, 2191, 1009, 9051, 1009, 6813, 1005, 1073, 3340, 79, 1195, 1057, 8074, 3789, 1236, 1233, 11990, 1060, 4338, 1072, 2738, 1049, 1901, 6509, 4547, 1054, 1307, 1009, 2992, 1009, 16202, 12956, 1193, 1006, 11990, 1009, 1073, 3340, 1803, 1006, 4338, 1187, 19407, 1708, 18111, 1101, 11964, 2450, 15292, 1717, 1026, 14698, 14902, 10073, 10718, 5700, 1264, 1026, 1831, 2670, 1006, 12716, 1101, 24285, 1678, 1847, 1026, 1831, 1054, 1578, 1009, 3049, 1009, 4229, 1005, 1026, 2277, 1054, 2523, 1009, 2992, 1009, 19742, 1776, 1831, 15346, 12656, 1516, 12700, 1009, 24630, 1026, 2670, 1060, 15423, 4419, 7798, 4591, 88, 10861, 1219, 10709, 1006, 15085, 13098, 1106, 1038, 3933, 1235, 17882, 1463, 6283, 1048, 9207, 1648, 1054, 3113, 1009, 16669, 1138, 2277, 2568, 2569, 1159, 2068, 1026, 10221, 1009, 1048, 1026, 2670, 12656, 1455, 5233, 1456, 26020, 1006, 1094, 1765, 29584, 1005, 1006, 16012, 1026, 7026, 1187, 2138, 2365, 1890, 1026, 2568, 1009, 17065, 1060, 8151, 1009, 13098, 1106, 18311, 1005, 18265, 3691, 16380, 1068, 2670, 1005, 12884, 1187, 23465, 12656, 1195, 7013, 13578, 1356, 10219, 1294, 1791, 4278, 4016, 1081, 1170, 1005, 24174, 2765, 1257, 675, 11770, 30729, 1060, 6320, 1049, 20289, 1060, 5007, 12709, 2860, 3210, 12466, 675, 3279, 16041, 1027, 1060, 6320, 1049, 4153, 13988, 1091, 4585, 13123, 675, 16716, 1060, 6320, 1009, 28072, 5537, 1553, 4585, 29, 14618, 2310, 1537, 9597, 3092, 1110, 11188, 1065, 23563, 1187, 2138, 2365, 2324, 1671, 19846, 1009, 14045, 11084, 22676, 1187, 2138, 2365, 1114, 3568, 12287, 1060, 4338, 1187, 19407, 1708, 1187, 2138, 2365, 1576, 30150, 1060, 4338, 1187, 19407, 1708, 1187, 2138, 2365, 2503, 1040, 1097, 16000, 1060, 11541, 1, 1138, 2231, 1459, 1096, 1044, 1023, 1606, 158, 1287, 4580, 1060, 18993, 1093, 3818, 9079, 14905, 1868, 89, 5171, 9723, 32, 18993, 1093, 2231, 1459, 5, 14905, 1868, 89, 5171, 9723, 32, 18993, 1093, 2231, 4541, 23203, 1065, 1005, 11646, 23629, 1459, 3008, 25161, 2231, 1459, 1467, 28162, 5063, 13143, 1727, 1, 1067, 1690, 3363, 6891, 8025, 2841, 1060, 10874, 1184, 3201, 1159, 1344, 20612, 2663, 9635, 175, 1678, 2595, 1009, 3149, 1009, 2226, 11913, 1096, 1044, 18408, 4011, 1048, 9392, 1159, 10760, 6304, 1072, 675, 2271, 6796, 1072, 1428, 1096, 21988, 7260, 1005, 1096, 1026, 5064, 1712, 26516, 1060, 2042, 1049, 4346, 7381, 13124, 14138, 3367, 23205, 5114, 1009, 1344, 20612, 1357, 1801, 12759, 5810, 1114, 1641, 1009, 1062, 9635, 175, 1678, 1072, 24024, 1309, 4108, 17307, 1068, 1006, 4671, 1641, 1009, 1123, 2607, 2915, 1400, 1072, 2293, 3279, 1049, 7247, 1571, 7717, 1224, 24102, 31300, 17290, 1034, 1250, 1006, 3560, 15213, 1679, 3404, 1646, 1072, 11047, 6120, 7729, 1120, 1599, 1060, 1641, 1049, 1592, 1720, 10774, 1178, 26516, 1005, 6635, 1060, 2750, 6517, 1049, 7248, 26773, 16693, 1054, 3303, 1356, 6881, 1009, 13808, 1400, 1195, 14209, 1356, 2457, 23250, 1235, 3041, 1009, 26516, 1005, 21988, 7260, 1049, 17926, 9537, 13991, 1118, 14843, 1356, 3246, 1060, 10509, 1049, 2709, 1005, 1356, 29593, 1577, 675, 2378, 1631, 1144, 13881, 2274, 1344, 20612, 1195, 6635, 29593, 1577, 2125, 18973, 1482, 11057, 1195, 6635, 1005, 26516, 1072, 1901, 1009, 2195, 12152, 1049, 28101, 1482, 11401, 1026, 1144, 31944, 18376, 1118, 1344, 20612, 7918, 1026, 8710, 10938, 20, 1482, 11210, 4850, 1009, 1160, 10889, 1026, 3479, 1356, 17926, 1344, 20612, 1195, 4202, 1026, 26516, 1049, 7248, 20, 1482, 10131, 1026, 4530, 7445, 8912, 1184, 1094, 16900, 1049, 5401, 72, 3022, 1114, 7654, 1049, 8786, 19625, 1577, 8152, 7313, 1482, 9861, 1344, 20612, 1195, 4202, 26516, 1049, 3848, 8786, 19625, 4906, 1043, 2128, 7882, 18605, 1044, 4530, 1043, 2653, 3480, 11195, 1005, 21754, 1094, 15729, 4109, 1049, 13724, 3424, 1482, 7624, 1344, 20612, 4064, 1006, 4214, 1009, 10666, 7882, 1356, 2457, 1847, 1026, 5064, 1712, 26516, 1060, 2042, 1049, 17926, 5626, 1657, 1009, 1106, 1497, 18999, 25, 7882, 1349, 6318, 18500, 2044, 1239, 27610, 15, 1005, 1114, 3349, 1009, 3474, 2673, 9108, 5056, 2378, 1631, 31542, 7905, 1717, 1026, 5001, 1725, 2037, 1344, 20612, 1058, 4312, 1026, 4530, 1048, 1184, 4792, 1379, 1006, 12159, 1049, 5401, 72, 8668, 1776, 9988, 1187, 4366, 82, 7010, 1026, 13099, 14914, 1235, 1307, 4829, 0, 2666, 1356, 4478, 11093, 1130, 1237, 6041, 20, 4116, 1852, 1009, 1224, 14382, 1344, 20612, 2521, 1307, 4969, 3538, 1356, 1144, 13881, 2274, 17772, 18977, 2933, 1678, 1847, 1083, 2933, 1054, 1844, 3538, 1356, 1144, 31944, 1072, 31542, 4238, 1658, 3409, 4598, 6304, 5868, 3149, 1009, 6796, 1344, 20612, 5749, 10760, 5786, 27157, 1072, 1144, 31944, 1068, 4524, 1043, 1026, 8795, 6109, 2881, 1024, 4383, 1554, 1344, 20612, 8491, 1371, 10760, 6304, 1049, 4346, 1592, 1846, 1009, 14843, 1009, 4306, 2740, 3368, 5494, 1159, 10039, 4523, 1362, 1005, 1205, 2211, 4213, 1082, 1662, 5581, 15774, 20612, 1058, 4312, 2512, 1114, 10562, 6085, 6753, 18119, 1118, 1663, 5278, 8745, 1009, 29277, 1213, 2933, 1043, 1132, 6231, 5157, 3027, 1235, 2011, 12678, 1118, 4731, 1159, 8887, 2196, 26516, 1049, 1144, 31944, 1114, 7987, 1106, 1009, 3973, 10047, 10760, 2740, 2274, 1344, 20612, 7918, 1026, 3479, 29593, 1577, 1009, 4053, 1005, 1026, 3177, 1006, 7987, 1106, 3209, 2378, 21375, 5868, 7434, 1344, 20612, 1427, 26389, 1213, 5428, 21862, 6278, 11055, 16822, 1043, 1026, 14593, 1009, 22512, 1213, 5333, 1009, 12450, 1054, 16378, 1114, 8151, 8779, 1009, 16669, 1344, 20612, 1210, 1645, 2698, 3130, 25, 4059, 7533, 1005, 1160, 1195, 4107, 1068, 1026, 5333, 17095, 13642, 31944, 17102, 4530, 1257, 3848, 8786, 19625, 1577, 32, 11057, 5073, 1005, 4864, 17102, 10760, 5786, 27157, 1257, 3848, 8786, 19625, 1577, 32, 4053, 5, 3848, 6278, 4150, 1434, 25082, 4229, 1110, 15054, 1009, 1142, 9261, 5, 3848, 29073, 1175, 7987, 1106, 32, 3303, 22204, 10010, 1257, 3848, 31152, 1175, 1101, 0, 8740, 32, 4158, 1509, 1243, 1009, 8379, 1043, 3295, 2933, 6599, 3848, 29073, 1175, 7987, 1106, 32, 4158, 1509, 1243, 1009, 3303, 1043, 8111, 2933, 6599, 3595, 1049, 13455, 32, 4158, 1509, 1243, 675, 1009, 4936, 1043, 2224, 2933, 6599, 3848, 8786, 19625, 1577, 32, 4158, 1509, 1243, 1009, 4936, 1043, 2322, 2933, 6599, 3848, 8786, 19625, 1577, 32, 4158, 1509, 1243, 1009, 5238, 1043, 2182, 2933, 6599, 3848, 8786, 19625, 1577, 32, 4158, 1509, 1243, 1009, 4483, 1043, 2128, 7882, 3296, 2310, 10559, 1258, 2162, 19256, 16883, 1095, 4994, 27, 10640, 1014, 2655, 1054, 2387, 2219, 5936, 18982, 1009, 1062, 9635, 1775, 5427, 1049, 9337, 5427, 1049, 11047, 6120, 4594, 4509, 9261, 15973, 4775, 1049, 5315, 1093, 1295, 4718, 29336, 1049, 6120, 1144, 31944, 3619, 1316, 1024, 14134, 5427, 1049, 3584, 4934, 4718, 29336, 1049, 17866, 84, 10484, 11047, 6120, 26899, 2389, 1005, 10426, 19183, 1009, 3246, 1049, 9337, 12287, 1049, 5428, 21862, 6278, 1049, 9337, 12287, 1049, 5428, 21862, 6278, 1, 1424, 5028, 2159, 1535, 1643, 1096, 1044, 2666, 13251, 1009, 6973, 1054, 1557, 2733, 8744, 1181, 1226, 7485, 7306, 20758, 1005, 3941, 1068, 13362, 6441, 16586, 6743, 1005, 4557, 30593, 2975, 1005, 1068, 1132, 5766, 1018, 1067, 6482, 10890, 5012, 18, 15775, 11403, 1005, 16632, 7091, 1042, 2325, 2474, 10820, 1990, 1257, 20050, 2159, 1535, 1643, 1096, 1044, 2666, 1009, 3946, 1411, 1072, 1428, 1026, 4530, 1096, 1044, 11852, 5051, 20, 1138, 2666, 11320, 24114, 1371, 1213, 2729, 1009, 2754, 25401, 5247, 1043, 19459, 1969, 6875, 1048, 10627, 1118, 16755, 1026, 15058, 19778, 2229, 6024, 1006, 9153, 2217, 9429, 18, 1206, 1006, 13421, 10155, 6384, 10881, 1124, 25401, 5247, 1026, 4530, 1225, 1233, 1224, 10001, 2539, 1025, 1089, 1554, 1138, 4530, 1298, 6838, 10155, 1009, 25712, 17512, 29597, 1005, 6838, 17317, 9680, 2271, 1151, 10843, 1006, 11552, 13310, 6718, 1118, 6048, 6536, 1273, 1752, 1044, 1043, 1006, 1224, 2562, 3264, 3336, 1505, 3018, 1124, 8494, 3084, 89, 2663, 1016, 13896, 15, 10316, 17512, 1869, 10139, 1411, 1132, 2239, 1167, 1400, 3121, 1233, 1224, 28283, 1327, 24763, 6048, 1009, 3935, 2762, 1005, 1132, 1574, 1468, 1816, 89, 1327, 20414, 11677, 1009, 5407, 5044, 9996, 7979, 1068, 1006, 3649, 1009, 10155, 1005, 6048, 2033, 1725, 1060, 2217, 3263, 1271, 15623, 6660, 1294, 23799, 1020, 1009, 16817, 1014, 21627, 1044, 5212, 1048, 1058, 3250, 7001, 1072, 6490, 1009, 13650, 1138, 4530, 1225, 1009, 6838, 1094, 2217, 1021, 1461, 12736, 2217, 3256, 1132, 23799, 12830, 1005, 1009, 2071, 1044, 7867, 2127, 1175, 1026, 4206, 92, 7293, 1175, 1068, 29234, 1132, 23799, 1020, 1213, 3428, 1005, 3312, 22302, 1068, 1006, 2217, 1021, 1461, 14049, 2666, 1195, 1026, 1831, 1114, 2700, 1424, 5028, 1283, 1535, 1643, 18, 3027, 2281, 10475, 1356, 7387, 1009, 15025, 2045, 7488, 1396, 7038, 15619, 1005, 1357, 1244, 6095, 4899, 1387, 1396, 25834, 13175, 17034, 1044, 17163, 1177, 6748, 3994, 1049, 4489, 16817, 3694, 1114, 26192, 1766, 23799, 1020, 1009, 16817, 1014, 21627, 1048, 4937, 2241, 1043, 1026, 17163, 2784, 7135, 1975, 1213, 5802, 1005, 6884, 1371, 1006, 25709, 25357, 9194, 4710, 1132, 20404, 1060, 3548, 1005, 1187, 9471, 3154, 1554, 1482, 2574, 4248, 1807, 1751, 1060, 7202, 22800, 1325, 19014, 2309, 23799, 3150, 29627, 4131, 1371, 1048, 1124, 15623, 6660, 1294, 23799, 1020, 1327, 1009, 12929, 20652, 1356, 1048, 1006, 15669, 1187, 7841, 1058, 4312, 1094, 2512, 4751, 9482, 8000, 2417, 8359, 3382, 2045, 31068, 1137, 1085, 1409, 1144, 1085, 18, 18376, 1118, 15529, 1324, 5090, 1006, 1946, 5990, 1132, 23799, 1020, 1009, 16817, 1014, 4747, 1054, 1807, 3627, 2485, 1068, 25231, 1124, 1569, 3638, 8359, 5430, 4883, 6786, 1005, 1681, 23277, 1960, 1554, 1482, 2574, 4248, 1026, 1622, 10293, 1049, 2417, 1096, 2742, 1048, 1668, 1096, 19350, 1159, 1094, 1271, 3056, 28767, 4079, 10737, 4513, 1157, 1050, 14723, 3905, 1005, 29255, 1807, 5020, 1009, 4527, 1303, 2098, 19932, 5738, 1026, 2417, 5090, 1006, 30949, 2539, 3825, 1044, 2574, 1118, 2220, 1026, 4999, 1100, 8264, 1094, 3781, 1233, 8323, 5178, 8530, 13363, 27425, 1271, 9103, 1431, 5006, 1006, 10088, 5722, 3387, 1705, 1041, 3243, 2448, 5583, 20785, 1349, 6224, 1054, 17578, 12012, 1006, 12863, 1124, 5298, 1049, 2417, 30957, 1879, 4530, 1298, 6016, 1178, 1044, 11852, 1060, 1163, 20785, 12787, 6490, 1009, 3781, 16563, 15, 1206, 1049, 2417, 31068, 1137, 1085, 1409, 1144, 1085, 12787, 16185, 14002, 1577, 15, 2893, 10681, 2949, 16741, 1392, 1365, 1124, 7707, 4395, 8020, 3069, 1049, 2666, 1195, 7982, 1068, 1026, 13362, 6441, 2428, 1054, 28642, 1482, 9033, 9096, 1006, 3069, 1068, 4557, 1005, 6743, 1844, 2400, 1992, 1318, 1068, 5766, 1018, 1059, 2494, 3069, 1049, 13362, 6441, 16586, 1992, 1159, 1124, 1187, 5766, 1018, 11138, 31309, 1006, 1049, 15775, 1675, 6456, 1006, 9425, 10058, 1516, 31264, 94, 2102, 18, 2097, 8901, 1114, 1049, 6743, 1005, 1049, 4557, 18, 1006, 9425, 1516, 1675, 3949, 94, 17936, 1059, 1482, 2252, 1124, 7707, 1009, 7822, 1516, 2481, 6534, 1054, 3444, 1495, 2848, 4731, 2301, 1026, 7478, 16348, 2637, 5077, 31722, 1068, 4180, 1059, 2034, 7707, 1009, 2985, 3841, 1160, 2643, 2764, 1394, 1213, 6838, 1059, 1063, 15556, 1375, 1024, 1271, 7707, 1009, 13975, 1195, 27619, 1068, 1094, 1853, 7461, 1187, 17056, 86, 16923, 1059, 1063, 3069, 1009, 15775, 11403, 1096, 1054, 1307 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1456, 1026, 17550, 25274, 1006, 1687, 1005, 1132, 25274, 1499, 18024, 10860, 5172, 1006, 1224, 3593, 8459, 1499, 13934, 5431, 1157, 8797, 1006, 1687, 14592, 1806, 1114, 2926, 10640, 3340, 79, 1195, 7264, 5780, 1068, 23146, 1006, 3940, 1009, 2926, 1009, 12785, 675, 0, 1022, 1157, 5747, 6674, 1140, 1233, 4155, 7043, 4567, 1048, 1026, 24782, 11463, 8146, 4857, 1006, 5530, 7182, 1049, 28994, 25526, 24251, 1072, 10219, 1114, 8151, 2127, 1009, 26154, 1009, 2992, 1009, 6796, 3156, 1157, 1679, 25274, 1224, 3364, 1233, 5274, 1009, 30054, 2762, 12785, 23048, 1043, 1006, 4840, 1049, 2276, 6680, 1009, 17491, 4042, 29057, 1482, 26142, 1009, 1663, 15740, 7314, 1048, 7937, 1178, 4254, 1312, 8273, 20, 2605, 1073, 3340, 79, 9934, 5233, 1026, 3245, 1017, 1135, 1009, 3072, 13174, 28300, 1157, 1271, 1569, 8582, 3758, 1580, 1159, 6012, 91, 5081, 22127, 2100, 4567, 1009, 8218, 9249, 1009, 1048, 2122, 2909, 1006, 3964, 7788, 1009, 8116, 1049, 2380, 1009, 2926, 1118, 3865, 1060, 1807, 3364, 28994, 1072, 26744, 1100, 1687, 13652, 1026, 1235, 1703, 1843, 1093, 1213, 7909, 1094, 5813, 1052, 17324, 1098, 1139, 1878, 18018, 8, 1009, 1094, 7513, 1009, 1791, 3952, 1068, 23188, 1026, 2743, 1009, 17376, 1048, 1195, 12516, 1114, 4338, 1118, 1101, 1442, 1006, 3186, 1999, 4083, 5812, 1009, 12785, 1996, 1009, 24752, 6355, 1026, 2743, 1009, 17376, 1264, 5176, 1379, 1006, 1073, 3340, 79, 1026, 3479, 1009, 15412, 1187, 3460, 23653, 1060, 4338, 1187, 19407, 1708, 25431, 24, 0, 18493, 1060, 4338, 24020, 1175, 3863, 15, 12613, 25274, 4192, 1202, 1006, 3364, 1114, 4338, 1187, 19407, 1708, 1463, 6283, 1009, 2191, 1009, 9051, 1009, 6813, 1005, 1073, 3340, 79, 1195, 1057, 8074, 3789, 1236, 1233, 11990, 1060, 4338, 1072, 2738, 1049, 1901, 6509, 4547, 1054, 1307, 1009, 2992, 1009, 16202, 12956, 1193, 1006, 11990, 1009, 1073, 3340, 1803, 1006, 4338, 1187, 19407, 1708, 18111, 1101, 11964, 2450, 15292, 1717, 1026, 14698, 14902, 10073, 10718, 5700, 1264, 1026, 1831, 2670, 1006, 12716, 1101, 24285, 1678, 1847, 1026, 1831, 1054, 1578, 1009, 3049, 1009, 4229, 1005, 1026, 2277, 1054, 2523, 1009, 2992, 1009, 19742, 1776, 1831, 15346, 12656, 1516, 12700, 1009, 24630, 1026, 2670, 1060, 15423, 4419, 7798, 4591, 88, 10861, 1219, 10709, 1006, 15085, 13098, 1106, 1038, 3933, 1235, 17882, 1463, 6283, 1048, 9207, 1648, 1054, 3113, 1009, 16669, 1138, 2277, 2568, 2569, 1159, 2068, 1026, 10221, 1009, 1048, 1026, 2670, 12656, 1455, 5233, 1456, 26020, 1006, 1094, 1765, 29584, 1005, 1006, 16012, 1026, 7026, 1187, 2138, 2365, 1890, 1026, 2568, 1009, 17065, 1060, 8151, 1009, 13098, 1106, 18311, 1005, 18265, 3691, 16380, 1068, 2670, 1005, 12884, 1187, 23465, 12656, 1195, 7013, 13578, 1356, 10219, 1294, 1791, 4278, 4016, 1081, 1170, 1005, 24174, 2765, 1257, 675, 11770, 30729, 1060, 6320, 1049, 20289, 1060, 5007, 12709, 2860, 3210, 12466, 675, 3279, 16041, 1027, 1060, 6320, 1049, 4153, 13988, 1091, 4585, 13123, 675, 16716, 1060, 6320, 1009, 28072, 5537, 1553, 4585, 29, 14618, 2310, 1537, 9597, 3092, 1110, 11188, 1065, 23563, 1187, 2138, 2365, 2324, 1671, 19846, 1009, 14045, 11084, 22676, 1187, 2138, 2365, 1114, 3568, 12287, 1060, 4338, 1187, 19407, 1708, 1187, 2138, 2365, 1576, 30150, 1060, 4338, 1187, 19407, 1708, 1187, 2138, 2365, 2503, 1040, 1097, 16000, 1060, 11541, 1, 1138, 2231, 1459, 1096, 1044, 1023, 1606, 158, 1287, 4580, 1060, 18993, 1093, 3818, 9079, 14905, 1868, 89, 5171, 9723, 32, 18993, 1093, 2231, 1459, 5, 14905, 1868, 89, 5171, 9723, 32, 18993, 1093, 2231, 4541, 23203, 1065, 1005, 11646, 23629, 1459, 3008, 25161, 2231, 1459, 1467, 28162, 5063, 13143, 1727, 1, 1067, 1690, 3363, 6891, 8025, 2841, 1060, 10874, 1184, 3201, 1159, 1344, 20612, 2663, 9635, 175, 1678, 2595, 1009, 3149, 1009, 2226, 11913, 1096, 1044, 18408, 4011, 1048, 9392, 1159, 10760, 6304, 1072, 675, 2271, 6796, 1072, 1428, 1096, 21988, 7260, 1005, 1096, 1026, 5064, 1712, 26516, 1060, 2042, 1049, 4346, 7381, 13124, 14138, 3367, 23205, 5114, 1009, 1344, 20612, 1357, 1801, 12759, 5810, 1114, 1641, 1009, 1062, 9635, 175, 1678, 1072, 24024, 1309, 4108, 17307, 1068, 1006, 4671, 1641, 1009, 1123, 2607, 2915, 1400, 1072, 2293, 3279, 1049, 7247, 1571, 7717, 1224, 24102, 31300, 17290, 1034, 1250, 1006, 3560, 15213, 1679, 3404, 1646, 1072, 11047, 6120, 7729, 1120, 1599, 1060, 1641, 1049, 1592, 1720, 10774, 1178, 26516, 1005, 6635, 1060, 2750, 6517, 1049, 7248, 26773, 16693, 1054, 3303, 1356, 6881, 1009, 13808, 1400, 1195, 14209, 1356, 2457, 23250, 1235, 3041, 1009, 26516, 1005, 21988, 7260, 1049, 17926, 9537, 13991, 1118, 14843, 1356, 3246, 1060, 10509, 1049, 2709, 1005, 1356, 29593, 1577, 675, 2378, 1631, 1144, 13881, 2274, 1344, 20612, 1195, 6635, 29593, 1577, 2125, 18973, 1482, 11057, 1195, 6635, 1005, 26516, 1072, 1901, 1009, 2195, 12152, 1049, 28101, 1482, 11401, 1026, 1144, 31944, 18376, 1118, 1344, 20612, 7918, 1026, 8710, 10938, 20, 1482, 11210, 4850, 1009, 1160, 10889, 1026, 3479, 1356, 17926, 1344, 20612, 1195, 4202, 1026, 26516, 1049, 7248, 20, 1482, 10131, 1026, 4530, 7445, 8912, 1184, 1094, 16900, 1049, 5401, 72, 3022, 1114, 7654, 1049, 8786, 19625, 1577, 8152, 7313, 1482, 9861, 1344, 20612, 1195, 4202, 26516, 1049, 3848, 8786, 19625, 4906, 1043, 2128, 7882, 18605, 1044, 4530, 1043, 2653, 3480, 11195, 1005, 21754, 1094, 15729, 4109, 1049, 13724, 3424, 1482, 7624, 1344, 20612, 4064, 1006, 4214, 1009, 10666, 7882, 1356, 2457, 1847, 1026, 5064, 1712, 26516, 1060, 2042, 1049, 17926, 5626, 1657, 1009, 1106, 1497, 18999, 25, 7882, 1349, 6318, 18500, 2044, 1239, 27610, 15, 1005, 1114, 3349, 1009, 3474, 2673, 9108, 5056, 2378, 1631, 31542, 7905, 1717, 1026, 5001, 1725, 2037, 1344, 20612, 1058, 4312, 1026, 4530, 1048, 1184, 4792, 1379, 1006, 12159, 1049, 5401, 72, 8668, 1776, 9988, 1187, 4366, 82, 7010, 1026, 13099, 14914, 1235, 1307, 4829, 0, 2666, 1356, 4478, 11093, 1130, 1237, 6041, 20, 4116, 1852, 1009, 1224, 14382, 1344, 20612, 2521, 1307, 4969, 3538, 1356, 1144, 13881, 2274, 17772, 18977, 2933, 1678, 1847, 1083, 2933, 1054, 1844, 3538, 1356, 1144, 31944, 1072, 31542, 4238, 1658, 3409, 4598, 6304, 5868, 3149, 1009, 6796, 1344, 20612, 5749, 10760, 5786, 27157, 1072, 1144, 31944, 1068, 4524, 1043, 1026, 8795, 6109, 2881, 1024, 4383, 1554, 1344, 20612, 8491, 1371, 10760, 6304, 1049, 4346, 1592, 1846, 1009, 14843, 1009, 4306, 2740, 3368, 5494, 1159, 10039, 4523, 1362, 1005, 1205, 2211, 4213, 1082, 1662, 5581, 15774, 20612, 1058, 4312, 2512, 1114, 10562, 6085, 6753, 18119, 1118, 1663, 5278, 8745, 1009, 29277, 1213, 2933, 1043, 1132, 6231, 5157, 3027, 1235, 2011, 12678, 1118, 4731, 1159, 8887, 2196, 26516, 1049, 1144, 31944, 1114, 7987, 1106, 1009, 3973, 10047, 10760, 2740, 2274, 1344, 20612, 7918, 1026, 3479, 29593, 1577, 1009, 4053, 1005, 1026, 3177, 1006, 7987, 1106, 3209, 2378, 21375, 5868, 7434, 1344, 20612, 1427, 26389, 1213, 5428, 21862, 6278, 11055, 16822, 1043, 1026, 14593, 1009, 22512, 1213, 5333, 1009, 12450, 1054, 16378, 1114, 8151, 8779, 1009, 16669, 1344, 20612, 1210, 1645, 2698, 3130, 25, 4059, 7533, 1005, 1160, 1195, 4107, 1068, 1026, 5333, 17095, 13642, 31944, 17102, 4530, 1257, 3848, 8786, 19625, 1577, 32, 11057, 5073, 1005, 4864, 17102, 10760, 5786, 27157, 1257, 3848, 8786, 19625, 1577, 32, 4053, 5, 3848, 6278, 4150, 1434, 25082, 4229, 1110, 15054, 1009, 1142, 9261, 5, 3848, 29073, 1175, 7987, 1106, 32, 3303, 22204, 10010, 1257, 3848, 31152, 1175, 1101, 0, 8740, 32, 4158, 1509, 1243, 1009, 8379, 1043, 3295, 2933, 6599, 3848, 29073, 1175, 7987, 1106, 32, 4158, 1509, 1243, 1009, 3303, 1043, 8111, 2933, 6599, 3595, 1049, 13455, 32, 4158, 1509, 1243, 675, 1009, 4936, 1043, 2224, 2933, 6599, 3848, 8786, 19625, 1577, 32, 4158, 1509, 1243, 1009, 4936, 1043, 2322, 2933, 6599, 3848, 8786, 19625, 1577, 32, 4158, 1509, 1243, 1009, 5238, 1043, 2182, 2933, 6599, 3848, 8786, 19625, 1577, 32, 4158, 1509, 1243, 1009, 4483, 1043, 2128, 7882, 3296, 2310, 10559, 1258, 2162, 19256, 16883, 1095, 4994, 27, 10640, 1014, 2655, 1054, 2387, 2219, 5936, 18982, 1009, 1062, 9635, 1775, 5427, 1049, 9337, 5427, 1049, 11047, 6120, 4594, 4509, 9261, 15973, 4775, 1049, 5315, 1093, 1295, 4718, 29336, 1049, 6120, 1144, 31944, 3619, 1316, 1024, 14134, 5427, 1049, 3584, 4934, 4718, 29336, 1049, 17866, 84, 10484, 11047, 6120, 26899, 2389, 1005, 10426, 19183, 1009, 3246, 1049, 9337, 12287, 1049, 5428, 21862, 6278, 1049, 9337, 12287, 1049, 5428, 21862, 6278, 1, 1424, 5028, 2159, 1535, 1643, 1096, 1044, 2666, 13251, 1009, 6973, 1054, 1557, 2733, 8744, 1181, 1226, 7485, 7306, 20758, 1005, 3941, 1068, 13362, 6441, 16586, 6743, 1005, 4557, 30593, 2975, 1005, 1068, 1132, 5766, 1018, 1067, 6482, 10890, 5012, 18, 15775, 11403, 1005, 16632, 7091, 1042, 2325, 2474, 10820, 1990, 1257, 20050, 2159, 1535, 1643, 1096, 1044, 2666, 1009, 3946, 1411, 1072, 1428, 1026, 4530, 1096, 1044, 11852, 5051, 20, 1138, 2666, 11320, 24114, 1371, 1213, 2729, 1009, 2754, 25401, 5247, 1043, 19459, 1969, 6875, 1048, 10627, 1118, 16755, 1026, 15058, 19778, 2229, 6024, 1006, 9153, 2217, 9429, 18, 1206, 1006, 13421, 10155, 6384, 10881, 1124, 25401, 5247, 1026, 4530, 1225, 1233, 1224, 10001, 2539, 1025, 1089, 1554, 1138, 4530, 1298, 6838, 10155, 1009, 25712, 17512, 29597, 1005, 6838, 17317, 9680, 2271, 1151, 10843, 1006, 11552, 13310, 6718, 1118, 6048, 6536, 1273, 1752, 1044, 1043, 1006, 1224, 2562, 3264, 3336, 1505, 3018, 1124, 8494, 3084, 89, 2663, 1016, 13896, 15, 10316, 17512, 1869, 10139, 1411, 1132, 2239, 1167, 1400, 3121, 1233, 1224, 28283, 1327, 24763, 6048, 1009, 3935, 2762, 1005, 1132, 1574, 1468, 1816, 89, 1327, 20414, 11677, 1009, 5407, 5044, 9996, 7979, 1068, 1006, 3649, 1009, 10155, 1005, 6048, 2033, 1725, 1060, 2217, 3263, 1271, 15623, 6660, 1294, 23799, 1020, 1009, 16817, 1014, 21627, 1044, 5212, 1048, 1058, 3250, 7001, 1072, 6490, 1009, 13650, 1138, 4530, 1225, 1009, 6838, 1094, 2217, 1021, 1461, 12736, 2217, 3256, 1132, 23799, 12830, 1005, 1009, 2071, 1044, 7867, 2127, 1175, 1026, 4206, 92, 7293, 1175, 1068, 29234, 1132, 23799, 1020, 1213, 3428, 1005, 3312, 22302, 1068, 1006, 2217, 1021, 1461, 14049, 2666, 1195, 1026, 1831, 1114, 2700, 1424, 5028, 1283, 1535, 1643, 18, 3027, 2281, 10475, 1356, 7387, 1009, 15025, 2045, 7488, 1396, 7038, 15619, 1005, 1357, 1244, 6095, 4899, 1387, 1396, 25834, 13175, 17034, 1044, 17163, 1177, 6748, 3994, 1049, 4489, 16817, 3694, 1114, 26192, 1766, 23799, 1020, 1009, 16817, 1014, 21627, 1048, 4937, 2241, 1043, 1026, 17163, 2784, 7135, 1975, 1213, 5802, 1005, 6884, 1371, 1006, 25709, 25357, 9194, 4710, 1132, 20404, 1060, 3548, 1005, 1187, 9471, 3154, 1554, 1482, 2574, 4248, 1807, 1751, 1060, 7202, 22800, 1325, 19014, 2309, 23799, 3150, 29627, 4131, 1371, 1048, 1124, 15623, 6660, 1294, 23799, 1020, 1327, 1009, 12929, 20652, 1356, 1048, 1006, 15669, 1187, 7841, 1058, 4312, 1094, 2512, 4751, 9482, 8000, 2417, 8359, 3382, 2045, 31068, 1137, 1085, 1409, 1144, 1085, 18, 18376, 1118, 15529, 1324, 5090, 1006, 1946, 5990, 1132, 23799, 1020, 1009, 16817, 1014, 4747, 1054, 1807, 3627, 2485, 1068, 25231, 1124, 1569, 3638, 8359, 5430, 4883, 6786, 1005, 1681, 23277, 1960, 1554, 1482, 2574, 4248, 1026, 1622, 10293, 1049, 2417, 1096, 2742, 1048, 1668, 1096, 19350, 1159, 1094, 1271, 3056, 28767, 4079, 10737, 4513, 1157, 1050, 14723, 3905, 1005, 29255, 1807, 5020, 1009, 4527, 1303, 2098, 19932, 5738, 1026, 2417, 5090, 1006, 30949, 2539, 3825, 1044, 2574, 1118, 2220, 1026, 4999, 1100, 8264, 1094, 3781, 1233, 8323, 5178, 8530, 13363, 27425, 1271, 9103, 1431, 5006, 1006, 10088, 5722, 3387, 1705, 1041, 3243, 2448, 5583, 20785, 1349, 6224, 1054, 17578, 12012, 1006, 12863, 1124, 5298, 1049, 2417, 30957, 1879, 4530, 1298, 6016, 1178, 1044, 11852, 1060, 1163, 20785, 12787, 6490, 1009, 3781, 16563, 15, 1206, 1049, 2417, 31068, 1137, 1085, 1409, 1144, 1085, 12787, 16185, 14002, 1577, 15, 2893, 10681, 2949, 16741, 1392, 1365, 1124, 7707, 4395, 8020, 3069, 1049, 2666, 1195, 7982, 1068, 1026, 13362, 6441, 2428, 1054, 28642, 1482, 9033, 9096, 1006, 3069, 1068, 4557, 1005, 6743, 1844, 2400, 1992, 1318, 1068, 5766, 1018, 1059, 2494, 3069, 1049, 13362, 6441, 16586, 1992, 1159, 1124, 1187, 5766, 1018, 11138, 31309, 1006, 1049, 15775, 1675, 6456, 1006, 9425, 10058, 1516, 31264, 94, 2102, 18, 2097, 8901, 1114, 1049, 6743, 1005, 1049, 4557, 18, 1006, 9425, 1516, 1675, 3949, 94, 17936, 1059, 1482, 2252, 1124, 7707, 1009, 7822, 1516, 2481, 6534, 1054, 3444, 1495, 2848, 4731, 2301, 1026, 7478, 16348, 2637, 5077, 31722, 1068, 4180, 1059, 2034, 7707, 1009, 2985, 3841, 1160, 2643, 2764, 1394, 1213, 6838, 1059, 1063, 15556, 1375, 1024, 1271, 7707, 1009, 13975, 1195, 27619, 1068, 1094, 1853, 7461, 1187, 17056, 86, 16923, 1059, 1063, 3069, 1009, 15775, 11403, 1096, 1054, 1307 ]

[ 1052, 1925, 4354, 17211, 2512, 1049, 3041, 1050, 1585, 1221, 1195, 1026, 2011, 1049, 8861, 4631, 1015, 8216, 73, 14286, 6459, 5581, 28893, 1487, 1404, 19, 1565, 4490, 8861, 2672, 5631, 1026, 2490, 24036, 1009, 10642, 16765, 5221, 1049, 13091, 27920, 1005, 1009, 8861, 4275, 13670, 1009, 18861, 1005, 5631, 1044, 5844, 22665, 1060, 1871, 11793, 1093, 19, 5552, 1189, 31093, 1069, 1114, 7923, 1009, 23339, 1009, 6651, 15, 2378, 1253, 3691, 11191, 6279, 1132, 20208, 1049, 3041, 6110, 6785, 1585, 1221, 1048, 23663, 1068, 1006, 30029, 1026, 1184, 12479, 1096, 1073, 1253, 3691, 6266, 1253, 1029, 150, 15, 4593, 11488, 7780, 19, 1349, 27246, 5923, 1048, 1195, 1026, 2566, 1049, 1574, 1107, 6857, 3492, 1593, 1007, 1071, 3208, 1694, 586, 19, 221, 182, 1042, 2339, 1318, 1574, 1107, 6857, 1067, 229, 90, 2339, 1150, 1358, 1107, 1694, 586, 3498, 229, 4822, 8, 19065, 1044, 12196, 1054, 1015, 8216, 73, 1981, 1322, 7345, 1628, 2275, 6126, 11810, 1009, 1048, 1054, 1235, 2011, 1322, 1006, 21886, 4372, 1009, 24376, 5591, 2795, 3589, 1073, 1253, 3691, 8919, 3360, 1072, 28059, 1009, 28370, 1029, 1159, 1054, 26599, 27831, 5915, 1104, 10737, 3702, 1264, 1592, 1160, 7211, 4318, 1049, 31791, 5915, 1104, 14252, 1063, 3733, 1009, 1073, 1253, 3691, 1318, 4836, 1124, 8582, 15839, 1187, 5891, 1009, 1134, 1316, 1081, 1139, 6981, 28520, 1166, 1804, 22934, 1046, 1014, 91, 1565, 7630, 1026, 1574, 1107, 6857, 1067, 229, 4822, 1160, 3241, 7135, 1188, 1054, 1224, 3225, 2485, 1044, 6737, 1049, 675, 1118, 10192, 182, 95, 1302, 1107, 1225, 20, 10192, 182, 95, 1302, 4385, 1048, 18296, 1213, 28059, 28370, 1029, 1159, 9487, 91, 6165, 10649, 182, 1007, 8482, 1041, 14145, 7349, 26284, 1068, 1026, 1025, 11325, 9487, 91, 11179, 4836, 2122, 18607, 2083, 8, 7394, 1051, 1208, 1044, 3516, 17885, 1424, 1709, 1157, 1357, 6746, 1049, 3516, 7169, 11320, 1208, 1791, 1734, 18105, 9839, 4331, 17075, 28310, 5473, 22276, 2125, 1734, 3516, 13385, 1005, 1992, 1118, 5615, 20, 1063, 23670, 1976, 1178, 18514, 1118, 5501, 1083, 1072, 1831, 3516, 17885, 27366, 1083, 1054, 1752, 1044, 1187, 1791, 18105, 1060, 2750, 2618, 20, 2494, 5994, 2618, 16223, 1083, 1294, 1791, 18105, 1463, 5533, 1436, 2170, 1072, 23258, 1049, 25821, 1006, 11954, 1187, 23931, 1294, 1791, 18105, 1048, 20610, 4109, 17075, 2494, 4886, 2618, 5501, 1083, 1294, 1791, 18105, 1463, 5533, 20489, 1776, 2191, 16223, 1006, 11954, 1187, 23931, 1294, 1791, 18105, 4109, 1009, 1752, 20, 1683, 16671, 1077, 2429, 29382, 1119, 11842, 1064, 13235, 1006, 2750, 4145, 1124, 24376, 1043, 1094, 1015, 1690, 30331, 1006, 5994, 1124, 24376, 1043, 2156, 1015, 1690, 1182, 1273, 3555, 28180, 3407, 1318, 9083, 1048, 1073, 1253, 3691, 1836, 19678, 1060, 8564, 2627, 25700, 2083, 9685, 95, 1730, 1685, 11709, 1065, 95, 1730, 1685, 28893, 6190, 1096, 12479, 1118, 1178, 1026, 3810, 1187, 7184, 6602, 1050, 1585, 5345, 2200, 5444, 1026, 9685, 95, 1730, 1685, 675, 220, 1075, 2841, 1067, 229, 90, 2339, 1048, 7217, 4805, 4606, 11615, 5863, 2966, 1026, 31791, 1009, 18328, 150, 1385, 1170, 2357, 1005, 1044, 13371, 1060, 11353, 3516, 1713, 1009, 1101, 10758, 1006, 3251, 7122, 2349, 26485, 3242, 10783, 2672, 5566, 1021, 1071, 1175, 6190, 5868, 4544, 1026, 5566, 1021, 1876, 1159, 1094, 9403, 1005, 9976, 1614, 5740, 1131, 1026, 1235, 1184, 8030, 1141, 1162, 3017, 1026, 1807, 17873, 182, 92, 201, 1007, 10224, 1006, 3364, 1187, 9800, 5566, 1021, 1322, 7002, 7184, 6602, 1596, 7742, 1986, 1026, 2124, 17465, 6602, 5566, 1021, 1327, 4412, 29049, 1159, 14964, 23473, 1654, 1365, 1006, 11848, 1049, 3041, 1050, 1585, 1221, 1005, 5224, 1049, 29669, 20123, 10548, 15007, 12236, 11444, 12308, 1187, 7184, 6602, 5566, 1021, 1836, 1054, 1224, 29541, 1656, 1006, 11848, 1634, 2860, 1009, 1569, 12156, 18059, 1005, 27388, 20, 1482, 15958, 1026, 1235, 31736, 1043, 1006, 21886, 4372, 1187, 5891, 1493, 3056, 1005, 11011, 1478, 1132, 4715, 1006, 19106, 1132, 5891, 1054, 2125, 9694, 32, 21886, 1014, 9490, 1098, 1036, 1014, 2445, 1005, 11011, 29647, 2656, 1201, 1452, 1043, 1094, 2987, 16051, 1009, 11011, 2784, 7949, 1006, 5149, 3251, 2625, 4267, 1009, 30422, 32, 1026, 30422, 1054, 1094, 30047, 1026, 30422, 1054, 2156, 1490, 4650, 1026, 30422, 1114, 14577, 1026, 30422, 1054, 1664, 1132, 23822, 1005, 1026, 30422, 26091, 91, 20542, 3423, 2668, 1132, 7184, 6602, 5566, 1021, 14453, 1975, 6347, 1161, 1068, 28767, 2987, 6762, 1141, 1162, 1452, 15, 1009, 5891, 1159, 18105, 1005, 12232, 1229, 1026, 1048, 10985, 11561, 5149, 27283, 7126, 158, 3397, 1392, 2987, 1071, 3921, 18896, 1882, 1497, 21569, 2145, 3998, 1565, 17465, 6602, 5566, 1021, 1596, 18, 12567, 18, 1318, 1132, 4181, 1006, 2071, 1006, 5133, 10145, 1146, 5785, 8482, 1041, 14145, 2373, 27453, 1047, 626, 1054, 1015, 8216, 73, 1981, 15, 1068, 1058, 14436, 1006, 11411, 20, 4634, 1009, 1044, 1910, 7400, 5738, 1224, 17186, 5749, 1026, 16492, 5133, 1150, 96, 1471, 8, 1846, 1009, 1094, 5099, 4481, 1410, 2669, 1009, 1211, 9954, 1005, 29006, 26240, 1161, 1060, 9259, 1068, 1006, 18104, 8126, 5538, 23166, 32, 1084, 5536, 23917, 2548, 2814, 16723, 1006, 5306, 5785, 4438, 80, 84, 14915, 1803, 2512, 5278, 5566, 1021, 1114, 11848, 27296, 1006, 1205, 1102, 11022, 79, 30495, 1041, 28893, 675, 3929, 1026, 1067, 1773, 1056, 26008, 1067, 8358, 4593, 11488, 675, 1175, 675, 3929, 1026, 9192, 95, 1185, 74, 22401, 1067, 8358, 4593, 11488, 675, 1175, 675, 3929, 1005, 1026, 10890, 81, 10971, 1165, 3556, 28893, 675, 1565, 2332, 1790, 1347, 7184, 6602, 5566, 1021, 1866, 2644, 1106, 78, 1019, 1007, 2841, 78, 3022, 1026, 2566, 1009, 2156, 3425, 17396, 3589, 1026, 1106, 78, 1019, 1007, 2841, 1107, 1595, 4134, 1046, 78, 1497, 1005, 1044, 6737, 1322, 1006, 5306, 5785, 4438, 80, 1021, 14915, 79, 4271, 20, 675, 3929, 1941, 1974, 3308, 3847, 17120, 5228, 71, 3995, 19065, 2566, 1009, 1044, 3407, 21137, 3509, 1128, 2253, 95, 1241, 3496, 14689, 33, 1005, 2858, 1016, 92, 14689, 28893, 19065, 2464, 3702, 1184, 3201, 1118, 1456, 12724, 26220, 1322, 9976, 5566, 1021, 1005, 6462, 76, 1513, 1961, 28624, 1044, 2011, 21137, 3509, 1128, 3624, 93, 16488, 1019, 78, 1122, 3556, 4134, 8358, 1106, 78, 2690, 5785, 3772, 1625, 1346, 20854, 11976, 26368, 1060, 5530, 9259, 1005, 1072, 2738, 19119, 2829, 3179, 1664, 5950, 5828, 2645, 1330, 1497, 15149, 14425, 16865, 4985, 1054, 1015, 8216, 73, 14286, 1048, 1596, 3798, 1166, 1072, 3813, 1015, 8216, 73, 1981, 1005, 25635, 1005, 4616, 1648, 13408, 4249, 3707, 1009, 11429, 1054, 8861, 2672, 8876, 95, 182, 81, 1052, 590, 31847, 1006, 1141, 1259, 4201, 3873, 201, 83, 182, 588, 89, 182, 15, 1005, 10642, 3534, 95, 182, 5785, 1565, 8, 8725, 1017, 1990, 2373, 1136, 1048, 1096, 11456, 8, 1071, 221, 1892, 79, 1054, 1015, 8216, 73, 1981, 15, 2328, 1009, 1494, 3155, 1048, 21517, 1589, 1044, 3129, 2512, 1114, 8090, 1009, 9800, 9303, 3500, 1114, 9259, 5896, 1377, 8725, 1017, 1990, 1005, 1494, 3155, 1318, 1596, 8728, 1068, 14451, 3425, 20110, 1392, 1005, 5886, 10158, 1680, 1159, 17285, 1322, 27388, 1005, 8861, 29813, 1766, 20208, 16304, 1060, 9259, 5530, 2204, 1412, 1124, 14816, 21285, 13839, 11667, 1187, 5950, 5828, 1634, 17881, 1048, 2643, 6508, 1069, 1198, 1958, 2160, 9800, 10441, 8815, 20854, 1250, 1118, 1910, 26086, 2855, 29292, 19887, 1009, 19054, 1990, 1257, 4652, 14616, 5289, 3894, 1195, 1169, 2455, 1236, 1357, 5530, 2706, 1634, 2860, 1114, 10695, 1009, 1048, 3530, 9800, 10023, 6042, 1402, 1009, 6697, 1054, 6697, 1043, 31522, 19697, 3843, 1505, 3018, 1006, 19054, 1990, 1187, 1205, 9939, 9303, 3500, 16471, 1495, 18869, 5480, 1009, 1494, 3155, 1049, 1592, 29799, 1766, 9800, 1596, 8073, 1150, 6665, 1069, 6165, 1623, 29415, 3076, 8, 1213, 13467, 1124, 2625, 7707, 1494, 1041, 5010, 6779, 1016, 1009, 1494, 3155, 1866, 1648, 1006, 13797, 593, 182, 6165, 182, 593, 1107, 8482, 1041, 14145, 1150, 4411, 3155, 1054, 25480, 11179, 1072, 1428, 1006, 1752, 2156, 2880, 23055, 1452, 1072, 3407, 2829, 1494, 9896, 1357, 1944, 1472, 1114, 1224, 4272, 14419, 1054, 4702, 6329, 1580, 1114, 4272, 1762, 26038, 2170, 19017, 6329, 1580, 4202, 1114, 4272, 23926, 1063, 1494, 3155, 2276, 5144, 1034, 1159, 2083, 15701, 1179, 1007, 23, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 2081, 5133, 23, 15701, 1179, 1007, 24, 33, 5133, 24, 15701, 1179, 1007, 2394, 5133, 25, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 25, 33, 1256, 2286, 1094, 2924, 1871, 1009, 1494, 14283, 1004, 78, 1589, 1420, 6165, 182, 593, 1107, 675, 8482, 1041, 14145, 1150, 4411, 3155, 1054, 6755, 4985, 1094, 19186, 1272, 1009, 1144, 2880, 2829, 1494, 8003, 6762, 3792, 4142, 1312, 1349, 3191, 11103, 3899, 1124, 2156, 6316, 1005, 2156, 9078, 2880, 2170, 1054, 4702, 1109, 16671, 1077, 1159, 2083, 15701, 1179, 1007, 23, 15701, 1179, 1007, 2084, 5133, 52, 2541, 15701, 1179, 1007, 52, 33, 5133, 24, 15701, 1179, 1007, 2394, 5133, 52, 7252, 15701, 1179, 1007, 52, 7045, 33, 1715, 33, 5133, 52, 2541, 15701, 1179, 1007, 15020, 5133, 23, 15701, 1179, 1007, 24, 33, 6914, 1658, 1871, 1184, 20824, 1009, 1494, 14283, 1086, 78, 1685, 6165, 182, 593, 1107, 8482, 1041, 14145, 1150, 4411, 3155, 1009, 6090, 11179, 1009, 2303, 1043, 4015, 1875, 1047, 96, 1065, 10131, 6906, 2523, 31, 1349, 11032, 1006, 1871, 2083, 15701, 1179, 1007, 23, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 2081, 5133, 23, 15701, 1179, 1007, 24, 15701, 1179, 1007, 2394, 5133, 25, 15701, 1179, 1007, 24, 15701, 1179, 1007, 2081, 5133, 23, 15701, 1179, 1007, 24, 15701, 1179, 1007, 25, 33, 5133, 24, 15701, 1179, 1007, 2394, 5133, 25, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 25, 15701, 1179, 1007, 2471, 5133, 26, 15701, 1179, 1007, 25, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 25, 15701, 1179, 1007, 26, 33, 6914, 1113, 4801, 5680, 6335, 6583, 2281, 10021, 1400, 1096, 9732, 5709, 1357, 14814, 1049, 1184, 5485, 3407, 16927, 1634, 7068, 1026, 1123, 1122, 1167, 1196, 28174, 1009, 19065, 1159, 1044, 3407, 21723, 1305, 7636, 28656, 4629, 17670, 1082, 1575, 3102, 9839, 1596, 6163, 1068, 19054, 3033, 9800, 7184, 19558, 7329, 8090, 8743, 10951, 20854, 1495, 1026, 1852, 1049, 3041, 1050, 1585, 1221, 28174, 1009, 6190, 1879, 4796, 1067, 8358, 3367, 8698, 11848, 1114, 5530, 9259, 2845, 1159, 1094, 1751, 1009, 1094, 1150, 3655, 2163, 1027, 12260, 8175, 8, 1322, 1132, 1205, 9939, 9303, 13385, 1048, 4359, 2644, 1006, 1871, 1009, 3425, 3509, 1205, 1171, 2077, 1273, 15047, 2951, 3409, 5287, 1074, 1049, 1205, 5922, 8, 3414, 1414, 2216, 14217, 1006, 675, 1565, 1063, 4716, 1009, 5674, 1024, 1006, 22684, 1149, 1049, 3407, 26161, 1118, 2490, 1009, 675, 221, 2145, 592, 182, 4593, 1081, 4405, 15, 1005, 3687, 6857, 3873, 13444, 3929, 1068, 5674, 1024, 1026, 1235, 7856, 2328, 1060, 7461, 1009, 1050, 95, 182, 81, 1052, 590, 71, 1071, 2510, 2672, 15, 1005, 1028, 1130, 3755, 1076, 1071, 13506, 2404, 3929, 1005, 1068, 5719, 6565, 1132, 675, 4392, 1072, 2803, 9443, 1356, 2490, 1009, 1953, 1029, 2002, 1071, 1408, 2006, 15, 1005, 1151, 95, 1252, 79, 592, 71, 1071, 1593, 1035, 7409, 1349, 3765, 4599, 1726, 4234, 21874, 1187, 1205, 1171, 2077, 1728, 23235, 9096, 1159, 1751, 1060, 3808, 2156, 19474, 1273, 25199, 1005, 5389, 12555, 7092, 20495, 1318, 1006, 15530, 7409, 1565, 20563, 1048, 1132, 1205, 1171, 2077, 1016, 7573, 1244, 16671, 1202, 1026, 2490, 1060, 6216, 1114, 9259, 21788, 1857, 23837, 1026, 1852, 1060, 7136, 10951, 20854, 20, 5126, 1596, 1141, 1310, 1894, 1054, 1094, 1871, 1025, 84, 1040, 6720, 9406, 13291, 2154, 1026, 1067, 8358, 8482, 1041, 1669, 2745, 6809, 1047, 4324, 1206, 2373, 82, 1328, 4985, 2083, 5445, 6868, 2650, 1049, 1015, 229, 4822, 22002, 26731, 1159, 3027, 2088, 19485, 30146, 1847, 30932, 1580, 1009, 1991, 1706, 2485, 10966, 1006, 2062, 4195, 13522, 5232, 2220, 1235, 14265, 1847, 1305, 18430, 1005, 18648, 1255, 1219, 2287, 1567, 2517, 13504, 18944, 1149, 1195, 25358, 2328, 1009, 23013, 1025, 1089, 1229, 1048, 27296, 1026, 2490, 1009, 1745, 1031, 1758, 20166, 1191, 1060, 24303, 1060, 6924, 3888, 1406, 2301, 5169, 11195, 1054, 1472, 1009, 5169, 1184, 25008, 6875, 3221, 1197, 1157, 14883, 5534, 1157, 1657, 1006, 1944, 1005, 1006, 3808, 1215, 14636, 1005, 7575, 2768, 1544, 1005, 8845, 20, 65, 8037, 67, 1766, 1015, 12800, 20701, 1006, 9525, 1009, 1048, 1006, 5556, 2328, 1049, 3407, 1516, 26382, 1492, 1094, 1751, 1009, 2693, 1006, 5601, 7863, 1138, 8330, 1060, 11597, 1976, 1261, 2281, 17644, 1357, 3806, 1163, 14792, 3498, 78, 4396, 5785, 15119, 2018, 1803, 5083, 1843, 4607, 1098, 10306 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1052, 1925, 4354, 17211, 2512, 1049, 3041, 1050, 1585, 1221, 1195, 1026, 2011, 1049, 8861, 4631, 1015, 8216, 73, 14286, 6459, 5581, 28893, 1487, 1404, 19, 1565, 4490, 8861, 2672, 5631, 1026, 2490, 24036, 1009, 10642, 16765, 5221, 1049, 13091, 27920, 1005, 1009, 8861, 4275, 13670, 1009, 18861, 1005, 5631, 1044, 5844, 22665, 1060, 1871, 11793, 1093, 19, 5552, 1189, 31093, 1069, 1114, 7923, 1009, 23339, 1009, 6651, 15, 2378, 1253, 3691, 11191, 6279, 1132, 20208, 1049, 3041, 6110, 6785, 1585, 1221, 1048, 23663, 1068, 1006, 30029, 1026, 1184, 12479, 1096, 1073, 1253, 3691, 6266, 1253, 1029, 150, 15, 4593, 11488, 7780, 19, 1349, 27246, 5923, 1048, 1195, 1026, 2566, 1049, 1574, 1107, 6857, 3492, 1593, 1007, 1071, 3208, 1694, 586, 19, 221, 182, 1042, 2339, 1318, 1574, 1107, 6857, 1067, 229, 90, 2339, 1150, 1358, 1107, 1694, 586, 3498, 229, 4822, 8, 19065, 1044, 12196, 1054, 1015, 8216, 73, 1981, 1322, 7345, 1628, 2275, 6126, 11810, 1009, 1048, 1054, 1235, 2011, 1322, 1006, 21886, 4372, 1009, 24376, 5591, 2795, 3589, 1073, 1253, 3691, 8919, 3360, 1072, 28059, 1009, 28370, 1029, 1159, 1054, 26599, 27831, 5915, 1104, 10737, 3702, 1264, 1592, 1160, 7211, 4318, 1049, 31791, 5915, 1104, 14252, 1063, 3733, 1009, 1073, 1253, 3691, 1318, 4836, 1124, 8582, 15839, 1187, 5891, 1009, 1134, 1316, 1081, 1139, 6981, 28520, 1166, 1804, 22934, 1046, 1014, 91, 1565, 7630, 1026, 1574, 1107, 6857, 1067, 229, 4822, 1160, 3241, 7135, 1188, 1054, 1224, 3225, 2485, 1044, 6737, 1049, 675, 1118, 10192, 182, 95, 1302, 1107, 1225, 20, 10192, 182, 95, 1302, 4385, 1048, 18296, 1213, 28059, 28370, 1029, 1159, 9487, 91, 6165, 10649, 182, 1007, 8482, 1041, 14145, 7349, 26284, 1068, 1026, 1025, 11325, 9487, 91, 11179, 4836, 2122, 18607, 2083, 8, 7394, 1051, 1208, 1044, 3516, 17885, 1424, 1709, 1157, 1357, 6746, 1049, 3516, 7169, 11320, 1208, 1791, 1734, 18105, 9839, 4331, 17075, 28310, 5473, 22276, 2125, 1734, 3516, 13385, 1005, 1992, 1118, 5615, 20, 1063, 23670, 1976, 1178, 18514, 1118, 5501, 1083, 1072, 1831, 3516, 17885, 27366, 1083, 1054, 1752, 1044, 1187, 1791, 18105, 1060, 2750, 2618, 20, 2494, 5994, 2618, 16223, 1083, 1294, 1791, 18105, 1463, 5533, 1436, 2170, 1072, 23258, 1049, 25821, 1006, 11954, 1187, 23931, 1294, 1791, 18105, 1048, 20610, 4109, 17075, 2494, 4886, 2618, 5501, 1083, 1294, 1791, 18105, 1463, 5533, 20489, 1776, 2191, 16223, 1006, 11954, 1187, 23931, 1294, 1791, 18105, 4109, 1009, 1752, 20, 1683, 16671, 1077, 2429, 29382, 1119, 11842, 1064, 13235, 1006, 2750, 4145, 1124, 24376, 1043, 1094, 1015, 1690, 30331, 1006, 5994, 1124, 24376, 1043, 2156, 1015, 1690, 1182, 1273, 3555, 28180, 3407, 1318, 9083, 1048, 1073, 1253, 3691, 1836, 19678, 1060, 8564, 2627, 25700, 2083, 9685, 95, 1730, 1685, 11709, 1065, 95, 1730, 1685, 28893, 6190, 1096, 12479, 1118, 1178, 1026, 3810, 1187, 7184, 6602, 1050, 1585, 5345, 2200, 5444, 1026, 9685, 95, 1730, 1685, 675, 220, 1075, 2841, 1067, 229, 90, 2339, 1048, 7217, 4805, 4606, 11615, 5863, 2966, 1026, 31791, 1009, 18328, 150, 1385, 1170, 2357, 1005, 1044, 13371, 1060, 11353, 3516, 1713, 1009, 1101, 10758, 1006, 3251, 7122, 2349, 26485, 3242, 10783, 2672, 5566, 1021, 1071, 1175, 6190, 5868, 4544, 1026, 5566, 1021, 1876, 1159, 1094, 9403, 1005, 9976, 1614, 5740, 1131, 1026, 1235, 1184, 8030, 1141, 1162, 3017, 1026, 1807, 17873, 182, 92, 201, 1007, 10224, 1006, 3364, 1187, 9800, 5566, 1021, 1322, 7002, 7184, 6602, 1596, 7742, 1986, 1026, 2124, 17465, 6602, 5566, 1021, 1327, 4412, 29049, 1159, 14964, 23473, 1654, 1365, 1006, 11848, 1049, 3041, 1050, 1585, 1221, 1005, 5224, 1049, 29669, 20123, 10548, 15007, 12236, 11444, 12308, 1187, 7184, 6602, 5566, 1021, 1836, 1054, 1224, 29541, 1656, 1006, 11848, 1634, 2860, 1009, 1569, 12156, 18059, 1005, 27388, 20, 1482, 15958, 1026, 1235, 31736, 1043, 1006, 21886, 4372, 1187, 5891, 1493, 3056, 1005, 11011, 1478, 1132, 4715, 1006, 19106, 1132, 5891, 1054, 2125, 9694, 32, 21886, 1014, 9490, 1098, 1036, 1014, 2445, 1005, 11011, 29647, 2656, 1201, 1452, 1043, 1094, 2987, 16051, 1009, 11011, 2784, 7949, 1006, 5149, 3251, 2625, 4267, 1009, 30422, 32, 1026, 30422, 1054, 1094, 30047, 1026, 30422, 1054, 2156, 1490, 4650, 1026, 30422, 1114, 14577, 1026, 30422, 1054, 1664, 1132, 23822, 1005, 1026, 30422, 26091, 91, 20542, 3423, 2668, 1132, 7184, 6602, 5566, 1021, 14453, 1975, 6347, 1161, 1068, 28767, 2987, 6762, 1141, 1162, 1452, 15, 1009, 5891, 1159, 18105, 1005, 12232, 1229, 1026, 1048, 10985, 11561, 5149, 27283, 7126, 158, 3397, 1392, 2987, 1071, 3921, 18896, 1882, 1497, 21569, 2145, 3998, 1565, 17465, 6602, 5566, 1021, 1596, 18, 12567, 18, 1318, 1132, 4181, 1006, 2071, 1006, 5133, 10145, 1146, 5785, 8482, 1041, 14145, 2373, 27453, 1047, 626, 1054, 1015, 8216, 73, 1981, 15, 1068, 1058, 14436, 1006, 11411, 20, 4634, 1009, 1044, 1910, 7400, 5738, 1224, 17186, 5749, 1026, 16492, 5133, 1150, 96, 1471, 8, 1846, 1009, 1094, 5099, 4481, 1410, 2669, 1009, 1211, 9954, 1005, 29006, 26240, 1161, 1060, 9259, 1068, 1006, 18104, 8126, 5538, 23166, 32, 1084, 5536, 23917, 2548, 2814, 16723, 1006, 5306, 5785, 4438, 80, 84, 14915, 1803, 2512, 5278, 5566, 1021, 1114, 11848, 27296, 1006, 1205, 1102, 11022, 79, 30495, 1041, 28893, 675, 3929, 1026, 1067, 1773, 1056, 26008, 1067, 8358, 4593, 11488, 675, 1175, 675, 3929, 1026, 9192, 95, 1185, 74, 22401, 1067, 8358, 4593, 11488, 675, 1175, 675, 3929, 1005, 1026, 10890, 81, 10971, 1165, 3556, 28893, 675, 1565, 2332, 1790, 1347, 7184, 6602, 5566, 1021, 1866, 2644, 1106, 78, 1019, 1007, 2841, 78, 3022, 1026, 2566, 1009, 2156, 3425, 17396, 3589, 1026, 1106, 78, 1019, 1007, 2841, 1107, 1595, 4134, 1046, 78, 1497, 1005, 1044, 6737, 1322, 1006, 5306, 5785, 4438, 80, 1021, 14915, 79, 4271, 20, 675, 3929, 1941, 1974, 3308, 3847, 17120, 5228, 71, 3995, 19065, 2566, 1009, 1044, 3407, 21137, 3509, 1128, 2253, 95, 1241, 3496, 14689, 33, 1005, 2858, 1016, 92, 14689, 28893, 19065, 2464, 3702, 1184, 3201, 1118, 1456, 12724, 26220, 1322, 9976, 5566, 1021, 1005, 6462, 76, 1513, 1961, 28624, 1044, 2011, 21137, 3509, 1128, 3624, 93, 16488, 1019, 78, 1122, 3556, 4134, 8358, 1106, 78, 2690, 5785, 3772, 1625, 1346, 20854, 11976, 26368, 1060, 5530, 9259, 1005, 1072, 2738, 19119, 2829, 3179, 1664, 5950, 5828, 2645, 1330, 1497, 15149, 14425, 16865, 4985, 1054, 1015, 8216, 73, 14286, 1048, 1596, 3798, 1166, 1072, 3813, 1015, 8216, 73, 1981, 1005, 25635, 1005, 4616, 1648, 13408, 4249, 3707, 1009, 11429, 1054, 8861, 2672, 8876, 95, 182, 81, 1052, 590, 31847, 1006, 1141, 1259, 4201, 3873, 201, 83, 182, 588, 89, 182, 15, 1005, 10642, 3534, 95, 182, 5785, 1565, 8, 8725, 1017, 1990, 2373, 1136, 1048, 1096, 11456, 8, 1071, 221, 1892, 79, 1054, 1015, 8216, 73, 1981, 15, 2328, 1009, 1494, 3155, 1048, 21517, 1589, 1044, 3129, 2512, 1114, 8090, 1009, 9800, 9303, 3500, 1114, 9259, 5896, 1377, 8725, 1017, 1990, 1005, 1494, 3155, 1318, 1596, 8728, 1068, 14451, 3425, 20110, 1392, 1005, 5886, 10158, 1680, 1159, 17285, 1322, 27388, 1005, 8861, 29813, 1766, 20208, 16304, 1060, 9259, 5530, 2204, 1412, 1124, 14816, 21285, 13839, 11667, 1187, 5950, 5828, 1634, 17881, 1048, 2643, 6508, 1069, 1198, 1958, 2160, 9800, 10441, 8815, 20854, 1250, 1118, 1910, 26086, 2855, 29292, 19887, 1009, 19054, 1990, 1257, 4652, 14616, 5289, 3894, 1195, 1169, 2455, 1236, 1357, 5530, 2706, 1634, 2860, 1114, 10695, 1009, 1048, 3530, 9800, 10023, 6042, 1402, 1009, 6697, 1054, 6697, 1043, 31522, 19697, 3843, 1505, 3018, 1006, 19054, 1990, 1187, 1205, 9939, 9303, 3500, 16471, 1495, 18869, 5480, 1009, 1494, 3155, 1049, 1592, 29799, 1766, 9800, 1596, 8073, 1150, 6665, 1069, 6165, 1623, 29415, 3076, 8, 1213, 13467, 1124, 2625, 7707, 1494, 1041, 5010, 6779, 1016, 1009, 1494, 3155, 1866, 1648, 1006, 13797, 593, 182, 6165, 182, 593, 1107, 8482, 1041, 14145, 1150, 4411, 3155, 1054, 25480, 11179, 1072, 1428, 1006, 1752, 2156, 2880, 23055, 1452, 1072, 3407, 2829, 1494, 9896, 1357, 1944, 1472, 1114, 1224, 4272, 14419, 1054, 4702, 6329, 1580, 1114, 4272, 1762, 26038, 2170, 19017, 6329, 1580, 4202, 1114, 4272, 23926, 1063, 1494, 3155, 2276, 5144, 1034, 1159, 2083, 15701, 1179, 1007, 23, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 2081, 5133, 23, 15701, 1179, 1007, 24, 33, 5133, 24, 15701, 1179, 1007, 2394, 5133, 25, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 25, 33, 1256, 2286, 1094, 2924, 1871, 1009, 1494, 14283, 1004, 78, 1589, 1420, 6165, 182, 593, 1107, 675, 8482, 1041, 14145, 1150, 4411, 3155, 1054, 6755, 4985, 1094, 19186, 1272, 1009, 1144, 2880, 2829, 1494, 8003, 6762, 3792, 4142, 1312, 1349, 3191, 11103, 3899, 1124, 2156, 6316, 1005, 2156, 9078, 2880, 2170, 1054, 4702, 1109, 16671, 1077, 1159, 2083, 15701, 1179, 1007, 23, 15701, 1179, 1007, 2084, 5133, 52, 2541, 15701, 1179, 1007, 52, 33, 5133, 24, 15701, 1179, 1007, 2394, 5133, 52, 7252, 15701, 1179, 1007, 52, 7045, 33, 1715, 33, 5133, 52, 2541, 15701, 1179, 1007, 15020, 5133, 23, 15701, 1179, 1007, 24, 33, 6914, 1658, 1871, 1184, 20824, 1009, 1494, 14283, 1086, 78, 1685, 6165, 182, 593, 1107, 8482, 1041, 14145, 1150, 4411, 3155, 1009, 6090, 11179, 1009, 2303, 1043, 4015, 1875, 1047, 96, 1065, 10131, 6906, 2523, 31, 1349, 11032, 1006, 1871, 2083, 15701, 1179, 1007, 23, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 2081, 5133, 23, 15701, 1179, 1007, 24, 15701, 1179, 1007, 2394, 5133, 25, 15701, 1179, 1007, 24, 15701, 1179, 1007, 2081, 5133, 23, 15701, 1179, 1007, 24, 15701, 1179, 1007, 25, 33, 5133, 24, 15701, 1179, 1007, 2394, 5133, 25, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 25, 15701, 1179, 1007, 2471, 5133, 26, 15701, 1179, 1007, 25, 15701, 1179, 1007, 2084, 5133, 24, 15701, 1179, 1007, 25, 15701, 1179, 1007, 26, 33, 6914, 1113, 4801, 5680, 6335, 6583, 2281, 10021, 1400, 1096, 9732, 5709, 1357, 14814, 1049, 1184, 5485, 3407, 16927, 1634, 7068, 1026, 1123, 1122, 1167, 1196, 28174, 1009, 19065, 1159, 1044, 3407, 21723, 1305, 7636, 28656, 4629, 17670, 1082, 1575, 3102, 9839, 1596, 6163, 1068, 19054, 3033, 9800, 7184, 19558, 7329, 8090, 8743, 10951, 20854, 1495, 1026, 1852, 1049, 3041, 1050, 1585, 1221, 28174, 1009, 6190, 1879, 4796, 1067, 8358, 3367, 8698, 11848, 1114, 5530, 9259, 2845, 1159, 1094, 1751, 1009, 1094, 1150, 3655, 2163, 1027, 12260, 8175, 8, 1322, 1132, 1205, 9939, 9303, 13385, 1048, 4359, 2644, 1006, 1871, 1009, 3425, 3509, 1205, 1171, 2077, 1273, 15047, 2951, 3409, 5287, 1074, 1049, 1205, 5922, 8, 3414, 1414, 2216, 14217, 1006, 675, 1565, 1063, 4716, 1009, 5674, 1024, 1006, 22684, 1149, 1049, 3407, 26161, 1118, 2490, 1009, 675, 221, 2145, 592, 182, 4593, 1081, 4405, 15, 1005, 3687, 6857, 3873, 13444, 3929, 1068, 5674, 1024, 1026, 1235, 7856, 2328, 1060, 7461, 1009, 1050, 95, 182, 81, 1052, 590, 71, 1071, 2510, 2672, 15, 1005, 1028, 1130, 3755, 1076, 1071, 13506, 2404, 3929, 1005, 1068, 5719, 6565, 1132, 675, 4392, 1072, 2803, 9443, 1356, 2490, 1009, 1953, 1029, 2002, 1071, 1408, 2006, 15, 1005, 1151, 95, 1252, 79, 592, 71, 1071, 1593, 1035, 7409, 1349, 3765, 4599, 1726, 4234, 21874, 1187, 1205, 1171, 2077, 1728, 23235, 9096, 1159, 1751, 1060, 3808, 2156, 19474, 1273, 25199, 1005, 5389, 12555, 7092, 20495, 1318, 1006, 15530, 7409, 1565, 20563, 1048, 1132, 1205, 1171, 2077, 1016, 7573, 1244, 16671, 1202, 1026, 2490, 1060, 6216, 1114, 9259, 21788, 1857, 23837, 1026, 1852, 1060, 7136, 10951, 20854, 20, 5126, 1596, 1141, 1310, 1894, 1054, 1094, 1871, 1025, 84, 1040, 6720, 9406, 13291, 2154, 1026, 1067, 8358, 8482, 1041, 1669, 2745, 6809, 1047, 4324, 1206, 2373, 82, 1328, 4985, 2083, 5445, 6868, 2650, 1049, 1015, 229, 4822, 22002, 26731, 1159, 3027, 2088, 19485, 30146, 1847, 30932, 1580, 1009, 1991, 1706, 2485, 10966, 1006, 2062, 4195, 13522, 5232, 2220, 1235, 14265, 1847, 1305, 18430, 1005, 18648, 1255, 1219, 2287, 1567, 2517, 13504, 18944, 1149, 1195, 25358, 2328, 1009, 23013, 1025, 1089, 1229, 1048, 27296, 1026, 2490, 1009, 1745, 1031, 1758, 20166, 1191, 1060, 24303, 1060, 6924, 3888, 1406, 2301, 5169, 11195, 1054, 1472, 1009, 5169, 1184, 25008, 6875, 3221, 1197, 1157, 14883, 5534, 1157, 1657, 1006, 1944, 1005, 1006, 3808, 1215, 14636, 1005, 7575, 2768, 1544, 1005, 8845, 20, 65, 8037, 67, 1766, 1015, 12800, 20701, 1006, 9525, 1009, 1048, 1006, 5556, 2328, 1049, 3407, 1516, 26382, 1492, 1094, 1751, 1009, 2693, 1006, 5601, 7863, 1138, 8330, 1060, 11597, 1976, 1261, 2281, 17644, 1357, 3806, 1163, 14792, 3498, 78, 4396, 5785, 15119, 2018, 1803, 5083, 1843, 4607, 1098, 10306 ]

[ 4292, 1702, 2098, 1838, 1149, 1797, 1032, 7941, 10083, 1114, 7972, 6324, 1474, 20, 12614, 1062, 1171, 79, 10178, 3637, 1467, 8509, 1946, 1103, 1526, 1271, 15280, 1072, 21727, 1298, 1058, 8383, 1058, 1702, 6159, 1234, 4310, 1009, 17312, 1439, 31409, 2682, 1124, 9423, 1054, 2252, 1124, 13672, 2170, 27758, 6394, 15383, 11610, 11993, 1068, 1124, 14260, 1048, 1702, 2417, 1455, 1017, 5304, 1138, 2535, 15940, 4011, 2569, 1159, 4081, 11444, 1026, 11230, 14751, 32, 3956, 3298, 1009, 1429, 31640, 3480, 24737, 1480, 1005, 1318, 4646, 1444, 1010, 1009, 3289, 1479, 1094, 8116, 1048, 1211, 1665, 2496, 1170, 1068, 1006, 5337, 1005, 1006, 2779, 1298, 1261, 4646, 1444, 1010, 18600, 1365, 2670, 1005, 17892, 26020, 21714, 1044, 2863, 5046, 1068, 1124, 15280, 1072, 1561, 3004, 1096, 1006, 11143, 3960, 6159, 4310, 1009, 5589, 1024, 1124, 5298, 5612, 20951, 3735, 24206, 1049, 3129, 1049, 2686, 7941, 1463, 7188, 1273, 1026, 1048, 1325, 1054, 8939, 5819, 1096, 1224, 4008, 1009, 1178, 1109, 3515, 1343, 1005, 11133, 1348, 1068, 1026, 3189, 26059, 1006, 16700, 1177, 18049, 1206, 1592, 1114, 11143, 18049, 1044, 6159, 15206, 1213, 21727, 4310, 1009, 7190, 4272, 1005, 11133, 1112, 1009, 9423, 1704, 2686, 7941, 9096, 1043, 1235, 7346, 7347, 1072, 2568, 4052, 1474, 1009, 12056, 3406, 30, 3218, 2561, 1076, 27144, 1479, 1005, 3004, 1620, 1058, 5632, 1060, 2921, 3616, 1479, 1009, 11737, 1005, 17892, 1009, 12895, 1206, 4697, 12831, 1109, 3515, 5160, 1009, 25336, 1543, 1013, 1546, 5602, 28172, 1072, 5239, 3300, 14024, 1060, 5133, 1005, 1927, 15099, 1060, 6769, 25661, 2494, 7972, 6324, 1474, 1026, 2686, 7941, 1195, 7916, 11132, 1118, 1224, 4008, 1009, 2696, 1439, 22908, 1009, 1011, 2815, 2952, 1005, 10293, 16368, 1016, 1271, 5298, 1233, 7116, 3482, 1024, 15974, 1142, 9642, 10339, 7104, 1134, 25922, 1005, 15761, 2212, 1132, 3251, 4472, 1310, 5730, 11949, 1412, 1043, 1026, 2686, 88, 3320, 2605, 3048, 1664, 1058, 12080, 14515, 12614, 17678, 6174, 22908, 8364, 1356, 2671, 6318, 15761, 2212, 22818, 1221, 1054, 4306, 7285, 1229, 1309, 10492, 1114, 6222, 21528, 14813, 1233, 3572, 1034, 1049, 7026, 1206, 1596, 19803, 1213, 21727, 1159, 3124, 3472, 1069, 1704, 1807, 3041, 1009, 15280, 30778, 1288, 1134, 25922, 1058, 3437, 8912, 1357, 24606, 1049, 14751, 2950, 1233, 13976, 1009, 11174, 1005, 1006, 19559, 1009, 1224, 2068, 13639, 1288, 1132, 13832, 15825, 1049, 14335, 1876, 1009, 1023, 1314, 17610, 4805, 6894, 1009, 1429, 31640, 31648, 1005, 1318, 4646, 1444, 1010, 1009, 3289, 20, 15576, 5198, 1411, 1026, 2686, 7941, 1009, 1134, 25922, 1195, 2025, 2408, 1357, 16399, 11132, 1009, 20974, 1005, 1073, 11030, 22316, 2818, 51, 1349, 1240, 18119, 4570, 1060, 13976, 1009, 15280, 1005, 1048, 7191, 2644, 1132, 10309, 1184, 1962, 30835, 6602, 1704, 2671, 10790, 23731, 1043, 1094, 13976, 1009, 22908, 7679, 1469, 2547, 4743, 20, 3316, 1472, 1184, 1026, 2686, 7941, 1195, 7191, 4457, 2228, 1278, 1006, 6894, 1009, 3480, 1195, 12118, 1526, 6977, 1026, 15322, 1027, 1005, 1026, 30681, 1027, 13643, 3722, 1159, 5480, 12940, 1233, 4884, 5970, 1349, 3702, 1132, 11620, 6583, 3738, 1188, 29948, 7016, 1043, 1026, 3266, 9214, 1704, 2671, 12936, 9952, 1026, 4308, 3388, 1009, 1142, 9642, 1309, 1058, 17155, 1079, 1305, 4029, 20242, 20, 3126, 1159, 1026, 16533, 1303, 1009, 1094, 1871, 1009, 6180, 1043, 1026, 2686, 7941, 1704, 14698, 10340, 20296, 6311, 1079, 1044, 3838, 30259, 1043, 1026, 8488, 9086, 1072, 1428, 1026, 2686, 7941, 1058, 15023, 10449, 1705, 1259, 1629, 1048, 2284, 1044, 11836, 6356, 1348, 1054, 6019, 1009, 4115, 1870, 7662, 1118, 7739, 15099, 1049, 20582, 1005, 1318, 7228, 13074, 1043, 1132, 8906, 1893, 4846, 1603, 3473, 11174, 1195, 2481, 1043, 4115, 1870, 14304, 1118, 3018, 1026, 2017, 7838, 6006, 1672, 1043, 1026, 15713, 1009, 5511, 1229, 1005, 1006, 8116, 2116, 3382, 1195, 2246, 1989, 2417, 1009, 11737, 1009, 3709, 26278, 1497, 27028, 2220, 1026, 3861, 5098, 5321, 1463, 6298, 1365, 14751, 1005, 21727, 3812, 1040, 1014, 2569, 1072, 2686, 7941, 1235, 2373, 4675, 14938, 28146, 626, 1005, 18111, 15713, 1009, 11787, 1005, 8116, 2116, 7407, 12614, 15778, 5751, 21, 9554, 4935, 10468, 1800, 10495, 2464, 1068, 1026, 8310, 1078, 2689, 1389, 2274, 1096, 1044, 10531, 1048, 1026, 28224, 1288, 9581, 16875, 29497, 13131, 9797, 1043, 1124, 7188, 1273, 1006, 9438, 20087, 1091, 1068, 22908, 3004, 25968, 1072, 7445, 1876, 1049, 21727, 20, 7496, 4473, 1072, 6204, 5103, 14961, 1356, 2686, 7941, 6788, 6344, 1024, 1800, 2125, 16250, 5612, 4535, 1009, 3510, 1126, 1006, 8116, 1060, 17932, 18, 1006, 9738, 1049, 17211, 7492, 1049, 30105, 1005, 1060, 15109, 1049, 7674, 5960, 1071, 1780, 2046, 5216, 1495, 1026, 5847, 1657, 1072, 10219, 1349, 4800, 16529, 1048, 1006, 4455, 1049, 28224, 1195, 1006, 1009, 16798, 1946, 1017, 6434, 20, 1138, 3542, 4484, 1068, 1124, 5376, 5857, 1184, 1271, 26206, 1060, 4338, 1005, 1049, 10219, 1005, 1060, 3597, 1187, 8813, 1049, 2671, 1072, 5611, 2270, 4685, 18, 1009, 1871, 3473, 3708, 1371, 7445, 1876, 1098, 11478, 162, 3420, 1066, 1049, 2686, 7941, 21714, 1213, 4347, 1060, 31100, 3633, 1271, 7188, 1273, 1006, 4960, 1048, 1058, 11272, 1068, 1006, 16399, 9581, 3883, 1032, 7941, 1160, 1096, 1322, 1006, 7064, 1009, 1094, 1023, 1314, 1627, 1309, 1322, 1235, 3489, 20, 6126, 30568, 37, 9528, 27758, 1068, 16027, 9878, 2686, 7941, 1213, 2729, 1060, 2042, 2355, 14972, 1159, 6159, 1009, 11458, 1100, 1005, 1927, 1048, 6580, 1009, 5376, 1026, 2521, 1006, 31615, 1295, 1009, 4965, 1009, 11174, 17880, 1006, 4384, 3266, 20, 6751, 2909, 2364, 1026, 2686, 7941, 1044, 6159, 1109, 3515, 4547, 4310, 1009, 11034, 1068, 19447, 1114, 6477, 1271, 20492, 15280, 37, 3064, 5084, 3315, 3795, 1880, 1041, 6802, 4125, 1118, 28079, 7106, 7072, 7180, 1005, 1118, 1094, 25336, 3895, 15040, 1132, 2688, 1327, 7109, 18, 1309, 4109, 1009, 2289, 8244, 1130, 1648, 1054, 1094, 16216, 1114, 3047, 5007, 3590, 4559, 1009, 1712, 3603, 1049, 2686, 7941, 1322, 1026, 8488, 9086, 1006, 2042, 1294, 14128, 9212, 1657, 5376, 27489, 3273, 7756, 2565, 7697, 1312, 3587, 2691, 6106, 8567, 12897, 1009, 3473, 6647, 4593, 2477, 1672, 22817, 6146, 4408, 23797, 7088, 1565, 7630, 1026, 4409, 2374, 1455, 17907, 1968, 1020, 1400, 29910, 10369, 1048, 1160, 4343, 1294, 1558, 2495, 3812, 6410, 18266, 7985, 30143, 4354, 1187, 5942, 1184, 4412, 1060, 13976, 1009, 2434, 28676, 1072, 26744, 1100, 1006, 26319, 25055, 2774, 9846, 9624, 2237, 3757, 1043, 1006, 4497, 1049, 10836, 23567, 11219, 2495, 3306, 5911, 3840, 16452, 1009, 1403, 1787, 1068, 4579, 1006, 6820, 1009, 1235, 6840, 20, 1063, 3069, 31028, 24842, 1079, 1233, 2759, 9482, 1118, 6588, 1004, 1092, 27875, 1072, 15713, 1009, 5511, 1554, 4733, 1006, 16377, 2789, 1627, 11219, 2495, 29167, 1060, 31801, 1309, 8413, 1184, 1557, 1068, 1663, 1124, 5376, 2904, 1107, 2002, 8837, 1605, 5548, 1049, 2686, 7941, 1114, 21360, 6182, 1142, 1350, 2645, 54, 19, 2982, 1349, 11991, 1079, 1114, 3349, 1114, 6915, 1357, 11990, 1060, 2968, 1377, 1063, 23990, 1009, 10866, 17446, 4334, 4212, 5705, 22473, 1054, 5149, 1026, 6752, 1049, 1235, 2417, 8951, 1044, 31582, 11250, 1049, 1428, 1026, 26823, 1155, 3763, 1577, 1225, 1058, 15341, 2270, 1138, 2670, 1060, 4338, 5662, 15099, 1005, 1751, 1060, 7116, 7152, 1231, 1656, 1006, 12005, 1009, 1142, 12003, 1048, 9047, 4532, 162, 17321, 1043, 1006, 8083, 1009, 11620, 1005, 13183, 1009, 4965, 1114, 21109, 1059, 1426, 1605, 8310, 1078, 2689, 14764, 1096, 8481, 2309, 12434, 7769, 1005, 5993, 1573, 8026, 1067, 3082, 5343, 1005, 8877, 1009, 3381, 15601, 1005, 1356, 8746, 26310, 3363, 6285, 20, 11014, 18658, 1201, 1508, 1043, 1006, 10638, 1009, 3381, 4264, 95, 1005, 11069, 16102, 31649, 1071, 1056, 11163, 1009, 1858, 15, 1005, 16102, 31649, 12113, 15590, 1560, 3377, 1426, 5026, 1103, 2701, 19578, 1118, 2595, 2250, 1132, 3195, 5500, 4747, 1049, 7026, 1054, 3650, 1066, 18597, 2049, 2289, 1026, 1048, 2218, 1508, 1072, 2788, 1322, 1124, 6283, 1467, 1088, 2165, 1759, 4307, 3363, 6285, 5508, 1348, 1049, 7026, 1054, 3650, 8280, 14893, 1054, 30821, 1357, 2828, 1009, 7485, 1498, 1042, 1870, 1114, 25447, 5057, 4502, 1159, 8746, 1054, 7471, 1159, 8943, 4385, 9641, 132, 18, 24212, 14717, 18318, 9955, 23166, 18306, 1005, 27740, 6171, 5929, 18, 1365, 9734, 13303, 8140, 1124, 5502, 1009, 15533, 11768, 8497, 1005, 6680, 1009, 16229, 20, 25942, 1079, 2224, 9888, 1009, 19783, 1059, 89, 4307, 3363, 38, 1469, 5005, 1040, 2873, 1066, 7796, 29040, 3766, 1067, 3082, 5343, 18511, 1054, 3237, 6405, 1411, 8349, 1054, 7527, 2672, 1005, 1054, 10135, 3803, 16624, 1017, 1049, 28961, 18, 1060, 3619, 1400, 1049, 4813, 1060, 5829, 1005, 16294, 1049, 5549, 1009, 11255, 1005, 8609, 3029, 1054, 13740, 10177, 20, 14439, 1348, 1049, 7026, 1054, 3650, 1066, 17756, 1059, 1330, 1013, 38, 1469, 5005, 1040, 2873, 1066, 7796, 3141, 8179, 1009, 3381, 15601, 16181, 1291, 1005, 17176, 2055, 3617, 2330, 1297, 1069, 1114, 1431, 8185, 18, 1225, 19745, 1357, 2828, 1009, 12797, 1259, 1051, 17483, 24519, 15, 19745, 1005, 17690, 1054, 11137, 9598, 18987, 40, 1005, 1228, 2393, 48, 1565, 14439, 1348, 1049, 7026, 1054, 3650, 1066, 17756, 1005, 4868, 1049, 4288, 1009, 30943, 1054, 11230, 21727, 1060, 4338, 1187, 17633, 1059, 1789, 4401, 38, 1469, 5005, 1040, 2873, 1066, 7796, 28165, 1044, 6737, 31758, 1024, 3484, 1605, 1235, 7137, 1009, 6455, 1160, 2177, 2218, 2270, 10348, 3750, 11993, 1327, 18910, 1043, 3125, 4093, 19108, 2324, 2576, 3125, 1383, 21707, 3125, 27204, 13758, 1699, 1026, 7026, 1054, 3650, 1066, 7515, 4839, 20624, 1375, 71, 1026, 1853, 1049, 7026, 1054, 3650, 1066, 1072, 6455, 20, 21980, 79, 3064, 4672, 1060, 4501, 5221, 1679, 4802, 1166, 1005, 2638, 3787, 1049, 6218, 1870, 1726, 1289, 6857, 2875, 1252, 3238, 1054, 1944, 4786, 2290, 10989, 26708, 9531, 11163, 15258, 1072, 24908, 5098, 28705, 3787, 24488, 1049, 1622, 11068, 4672, 24488, 1049, 1622, 8539, 1364, 22997, 1566, 5, 2721, 2250, 11585, 1009, 1009, 19619, 1112, 1797, 2902, 4237, 1054, 3650, 1066, 17756, 28625, 71, 1005, 17756, 1467, 25158, 1416, 1005, 8228, 1085, 2404, 1383, 22220, 1797, 2902, 4237, 1054, 3650, 1066, 7515, 4839, 1576, 5882, 1045, 1049, 11230, 1940, 1024, 1078, 2689, 14764, 5026, 3551, 9874, 1051, 1253, 5, 135, 1037, 2238, 7026, 1054, 3650, 1066, 28625, 1016, 18496, 9784, 10888, 1458, 17910, 21908, 5168, 5765, 28789, 2503, 17608, 1005, 23870, 1027, 5168, 5765, 1106, 1814, 20299, 1149, 1005, 27152, 73, 3779, 2555, 12792, 1208, 1043, 1006, 4614, 1940, 4096, 1043, 1006, 4614, 4935, 1420, 4633, 26373, 1009, 25227, 1383, 1144, 1128, 1084, 1144, 1119, 1063, 20624, 1375, 71, 1118, 25999, 4899, 16071, 112, 4579, 1175, 7026, 1054, 3650, 8280, 7027, 1132, 3997, 4453, 3983, 1683, 1316, 1236, 1006, 10242, 1305, 9478, 1118, 4823, 1060, 4188, 3019, 17042, 1067, 8524, 4223, 10654, 8584, 1175, 23482, 15332, 1021, 1036, 21673, 1175, 2988, 1133, 1307, 4705, 5309, 1158, 29, 1175, 8750, 6441, 44, 1175, 28123, 1779, 3211, 28, 1839, 8741, 1839, 7098, 32, 13383, 5056, 15312, 2708, 25, 7942, 2337, 28, 1, 12151, 4347, 1009, 21136, 4300, 37, 1175, 2654, 24443, 1006, 10159, 11658, 14527, 1392, 21, 23302, 4347, 1009, 21136, 4300, 3900, 3026, 1294, 3361, 1508, 1068, 1663, 1094, 5099, 17072, 2653, 1160, 11059, 1006, 27550, 4493, 1068, 1006, 11874, 1009, 1044, 21136, 4300, 3576, 4096, 1006, 5865, 1206, 1160, 16154, 1044, 21136, 4300, 1068, 12212, 37, 21665, 1096, 1094, 1271, 5729, 1048, 5846, 1037, 1046, 1006, 4953, 1009, 2653, 15315, 7178, 1009, 1094, 1871, 2357, 11816, 1048, 2930, 3489, 1096, 4347, 1800, 1322, 1006, 4967, 15974, 2122, 4380, 1160, 6105, 3048, 1213, 2444, 4125, 1054, 5426, 7101, 1273, 1118, 1178, 1044, 5675, 1048, 4215, 1756, 1508, 3794, 5089, 6788, 9135, 1800, 1068, 6141, 1048, 1006, 11309, 1096, 5560, 3630, 1060, 1048, 4929, 17822, 2585, 2340, 25852, 1026, 1531, 2220, 28931, 1463, 1427, 1016, 1187, 18865, 1043, 1026, 8393, 3630, 1049, 1294, 2351, 1043, 10598, 3630, 1060, 1294, 14403, 2553, 1199, 1068, 1124, 1287, 4525, 31898, 2289, 1616, 1298, 31364, 5232, 1114, 3028, 2926, 1005, 1114, 1187, 3794, 6941, 1005, 1026, 4410, 1118, 3689, 1800, 1150, 21275, 1104, 3033, 8, 2457, 1298, 1178, 1680, 3910, 1005, 11186, 30759, 1157, 1043, 1006, 5099, 1187, 2776, 14147, 1084, 6082, 2572, 3005, 1160, 1096, 1592, 18091, 1940, 1458, 1096, 1048, 4564, 1511, 10395, 1009, 5883, 6023, 1096, 1048, 7843, 2315, 1006, 2733, 4493, 1009, 16154, 1044, 21136, 4300, 1996, 1009, 5392, 1800, 1009, 7108, 4011, 2324, 5288, 2572, 3659, 22737, 1005, 1160, 12816, 6242, 1043, 5917, 92, 16728, 8042, 1006, 3028, 9436, 1620, 1184, 1511, 4929, 1054, 10817, 1054, 1044, 2269, 2072, 19991, 2950, 1006, 4967, 15974, 1309, 1160, 4800, 20581, 1132, 5917, 92, 16728, 1009, 1094, 23057, 1118, 1184, 9636 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4292, 1702, 2098, 1838, 1149, 1797, 1032, 7941, 10083, 1114, 7972, 6324, 1474, 20, 12614, 1062, 1171, 79, 10178, 3637, 1467, 8509, 1946, 1103, 1526, 1271, 15280, 1072, 21727, 1298, 1058, 8383, 1058, 1702, 6159, 1234, 4310, 1009, 17312, 1439, 31409, 2682, 1124, 9423, 1054, 2252, 1124, 13672, 2170, 27758, 6394, 15383, 11610, 11993, 1068, 1124, 14260, 1048, 1702, 2417, 1455, 1017, 5304, 1138, 2535, 15940, 4011, 2569, 1159, 4081, 11444, 1026, 11230, 14751, 32, 3956, 3298, 1009, 1429, 31640, 3480, 24737, 1480, 1005, 1318, 4646, 1444, 1010, 1009, 3289, 1479, 1094, 8116, 1048, 1211, 1665, 2496, 1170, 1068, 1006, 5337, 1005, 1006, 2779, 1298, 1261, 4646, 1444, 1010, 18600, 1365, 2670, 1005, 17892, 26020, 21714, 1044, 2863, 5046, 1068, 1124, 15280, 1072, 1561, 3004, 1096, 1006, 11143, 3960, 6159, 4310, 1009, 5589, 1024, 1124, 5298, 5612, 20951, 3735, 24206, 1049, 3129, 1049, 2686, 7941, 1463, 7188, 1273, 1026, 1048, 1325, 1054, 8939, 5819, 1096, 1224, 4008, 1009, 1178, 1109, 3515, 1343, 1005, 11133, 1348, 1068, 1026, 3189, 26059, 1006, 16700, 1177, 18049, 1206, 1592, 1114, 11143, 18049, 1044, 6159, 15206, 1213, 21727, 4310, 1009, 7190, 4272, 1005, 11133, 1112, 1009, 9423, 1704, 2686, 7941, 9096, 1043, 1235, 7346, 7347, 1072, 2568, 4052, 1474, 1009, 12056, 3406, 30, 3218, 2561, 1076, 27144, 1479, 1005, 3004, 1620, 1058, 5632, 1060, 2921, 3616, 1479, 1009, 11737, 1005, 17892, 1009, 12895, 1206, 4697, 12831, 1109, 3515, 5160, 1009, 25336, 1543, 1013, 1546, 5602, 28172, 1072, 5239, 3300, 14024, 1060, 5133, 1005, 1927, 15099, 1060, 6769, 25661, 2494, 7972, 6324, 1474, 1026, 2686, 7941, 1195, 7916, 11132, 1118, 1224, 4008, 1009, 2696, 1439, 22908, 1009, 1011, 2815, 2952, 1005, 10293, 16368, 1016, 1271, 5298, 1233, 7116, 3482, 1024, 15974, 1142, 9642, 10339, 7104, 1134, 25922, 1005, 15761, 2212, 1132, 3251, 4472, 1310, 5730, 11949, 1412, 1043, 1026, 2686, 88, 3320, 2605, 3048, 1664, 1058, 12080, 14515, 12614, 17678, 6174, 22908, 8364, 1356, 2671, 6318, 15761, 2212, 22818, 1221, 1054, 4306, 7285, 1229, 1309, 10492, 1114, 6222, 21528, 14813, 1233, 3572, 1034, 1049, 7026, 1206, 1596, 19803, 1213, 21727, 1159, 3124, 3472, 1069, 1704, 1807, 3041, 1009, 15280, 30778, 1288, 1134, 25922, 1058, 3437, 8912, 1357, 24606, 1049, 14751, 2950, 1233, 13976, 1009, 11174, 1005, 1006, 19559, 1009, 1224, 2068, 13639, 1288, 1132, 13832, 15825, 1049, 14335, 1876, 1009, 1023, 1314, 17610, 4805, 6894, 1009, 1429, 31640, 31648, 1005, 1318, 4646, 1444, 1010, 1009, 3289, 20, 15576, 5198, 1411, 1026, 2686, 7941, 1009, 1134, 25922, 1195, 2025, 2408, 1357, 16399, 11132, 1009, 20974, 1005, 1073, 11030, 22316, 2818, 51, 1349, 1240, 18119, 4570, 1060, 13976, 1009, 15280, 1005, 1048, 7191, 2644, 1132, 10309, 1184, 1962, 30835, 6602, 1704, 2671, 10790, 23731, 1043, 1094, 13976, 1009, 22908, 7679, 1469, 2547, 4743, 20, 3316, 1472, 1184, 1026, 2686, 7941, 1195, 7191, 4457, 2228, 1278, 1006, 6894, 1009, 3480, 1195, 12118, 1526, 6977, 1026, 15322, 1027, 1005, 1026, 30681, 1027, 13643, 3722, 1159, 5480, 12940, 1233, 4884, 5970, 1349, 3702, 1132, 11620, 6583, 3738, 1188, 29948, 7016, 1043, 1026, 3266, 9214, 1704, 2671, 12936, 9952, 1026, 4308, 3388, 1009, 1142, 9642, 1309, 1058, 17155, 1079, 1305, 4029, 20242, 20, 3126, 1159, 1026, 16533, 1303, 1009, 1094, 1871, 1009, 6180, 1043, 1026, 2686, 7941, 1704, 14698, 10340, 20296, 6311, 1079, 1044, 3838, 30259, 1043, 1026, 8488, 9086, 1072, 1428, 1026, 2686, 7941, 1058, 15023, 10449, 1705, 1259, 1629, 1048, 2284, 1044, 11836, 6356, 1348, 1054, 6019, 1009, 4115, 1870, 7662, 1118, 7739, 15099, 1049, 20582, 1005, 1318, 7228, 13074, 1043, 1132, 8906, 1893, 4846, 1603, 3473, 11174, 1195, 2481, 1043, 4115, 1870, 14304, 1118, 3018, 1026, 2017, 7838, 6006, 1672, 1043, 1026, 15713, 1009, 5511, 1229, 1005, 1006, 8116, 2116, 3382, 1195, 2246, 1989, 2417, 1009, 11737, 1009, 3709, 26278, 1497, 27028, 2220, 1026, 3861, 5098, 5321, 1463, 6298, 1365, 14751, 1005, 21727, 3812, 1040, 1014, 2569, 1072, 2686, 7941, 1235, 2373, 4675, 14938, 28146, 626, 1005, 18111, 15713, 1009, 11787, 1005, 8116, 2116, 7407, 12614, 15778, 5751, 21, 9554, 4935, 10468, 1800, 10495, 2464, 1068, 1026, 8310, 1078, 2689, 1389, 2274, 1096, 1044, 10531, 1048, 1026, 28224, 1288, 9581, 16875, 29497, 13131, 9797, 1043, 1124, 7188, 1273, 1006, 9438, 20087, 1091, 1068, 22908, 3004, 25968, 1072, 7445, 1876, 1049, 21727, 20, 7496, 4473, 1072, 6204, 5103, 14961, 1356, 2686, 7941, 6788, 6344, 1024, 1800, 2125, 16250, 5612, 4535, 1009, 3510, 1126, 1006, 8116, 1060, 17932, 18, 1006, 9738, 1049, 17211, 7492, 1049, 30105, 1005, 1060, 15109, 1049, 7674, 5960, 1071, 1780, 2046, 5216, 1495, 1026, 5847, 1657, 1072, 10219, 1349, 4800, 16529, 1048, 1006, 4455, 1049, 28224, 1195, 1006, 1009, 16798, 1946, 1017, 6434, 20, 1138, 3542, 4484, 1068, 1124, 5376, 5857, 1184, 1271, 26206, 1060, 4338, 1005, 1049, 10219, 1005, 1060, 3597, 1187, 8813, 1049, 2671, 1072, 5611, 2270, 4685, 18, 1009, 1871, 3473, 3708, 1371, 7445, 1876, 1098, 11478, 162, 3420, 1066, 1049, 2686, 7941, 21714, 1213, 4347, 1060, 31100, 3633, 1271, 7188, 1273, 1006, 4960, 1048, 1058, 11272, 1068, 1006, 16399, 9581, 3883, 1032, 7941, 1160, 1096, 1322, 1006, 7064, 1009, 1094, 1023, 1314, 1627, 1309, 1322, 1235, 3489, 20, 6126, 30568, 37, 9528, 27758, 1068, 16027, 9878, 2686, 7941, 1213, 2729, 1060, 2042, 2355, 14972, 1159, 6159, 1009, 11458, 1100, 1005, 1927, 1048, 6580, 1009, 5376, 1026, 2521, 1006, 31615, 1295, 1009, 4965, 1009, 11174, 17880, 1006, 4384, 3266, 20, 6751, 2909, 2364, 1026, 2686, 7941, 1044, 6159, 1109, 3515, 4547, 4310, 1009, 11034, 1068, 19447, 1114, 6477, 1271, 20492, 15280, 37, 3064, 5084, 3315, 3795, 1880, 1041, 6802, 4125, 1118, 28079, 7106, 7072, 7180, 1005, 1118, 1094, 25336, 3895, 15040, 1132, 2688, 1327, 7109, 18, 1309, 4109, 1009, 2289, 8244, 1130, 1648, 1054, 1094, 16216, 1114, 3047, 5007, 3590, 4559, 1009, 1712, 3603, 1049, 2686, 7941, 1322, 1026, 8488, 9086, 1006, 2042, 1294, 14128, 9212, 1657, 5376, 27489, 3273, 7756, 2565, 7697, 1312, 3587, 2691, 6106, 8567, 12897, 1009, 3473, 6647, 4593, 2477, 1672, 22817, 6146, 4408, 23797, 7088, 1565, 7630, 1026, 4409, 2374, 1455, 17907, 1968, 1020, 1400, 29910, 10369, 1048, 1160, 4343, 1294, 1558, 2495, 3812, 6410, 18266, 7985, 30143, 4354, 1187, 5942, 1184, 4412, 1060, 13976, 1009, 2434, 28676, 1072, 26744, 1100, 1006, 26319, 25055, 2774, 9846, 9624, 2237, 3757, 1043, 1006, 4497, 1049, 10836, 23567, 11219, 2495, 3306, 5911, 3840, 16452, 1009, 1403, 1787, 1068, 4579, 1006, 6820, 1009, 1235, 6840, 20, 1063, 3069, 31028, 24842, 1079, 1233, 2759, 9482, 1118, 6588, 1004, 1092, 27875, 1072, 15713, 1009, 5511, 1554, 4733, 1006, 16377, 2789, 1627, 11219, 2495, 29167, 1060, 31801, 1309, 8413, 1184, 1557, 1068, 1663, 1124, 5376, 2904, 1107, 2002, 8837, 1605, 5548, 1049, 2686, 7941, 1114, 21360, 6182, 1142, 1350, 2645, 54, 19, 2982, 1349, 11991, 1079, 1114, 3349, 1114, 6915, 1357, 11990, 1060, 2968, 1377, 1063, 23990, 1009, 10866, 17446, 4334, 4212, 5705, 22473, 1054, 5149, 1026, 6752, 1049, 1235, 2417, 8951, 1044, 31582, 11250, 1049, 1428, 1026, 26823, 1155, 3763, 1577, 1225, 1058, 15341, 2270, 1138, 2670, 1060, 4338, 5662, 15099, 1005, 1751, 1060, 7116, 7152, 1231, 1656, 1006, 12005, 1009, 1142, 12003, 1048, 9047, 4532, 162, 17321, 1043, 1006, 8083, 1009, 11620, 1005, 13183, 1009, 4965, 1114, 21109, 1059, 1426, 1605, 8310, 1078, 2689, 14764, 1096, 8481, 2309, 12434, 7769, 1005, 5993, 1573, 8026, 1067, 3082, 5343, 1005, 8877, 1009, 3381, 15601, 1005, 1356, 8746, 26310, 3363, 6285, 20, 11014, 18658, 1201, 1508, 1043, 1006, 10638, 1009, 3381, 4264, 95, 1005, 11069, 16102, 31649, 1071, 1056, 11163, 1009, 1858, 15, 1005, 16102, 31649, 12113, 15590, 1560, 3377, 1426, 5026, 1103, 2701, 19578, 1118, 2595, 2250, 1132, 3195, 5500, 4747, 1049, 7026, 1054, 3650, 1066, 18597, 2049, 2289, 1026, 1048, 2218, 1508, 1072, 2788, 1322, 1124, 6283, 1467, 1088, 2165, 1759, 4307, 3363, 6285, 5508, 1348, 1049, 7026, 1054, 3650, 8280, 14893, 1054, 30821, 1357, 2828, 1009, 7485, 1498, 1042, 1870, 1114, 25447, 5057, 4502, 1159, 8746, 1054, 7471, 1159, 8943, 4385, 9641, 132, 18, 24212, 14717, 18318, 9955, 23166, 18306, 1005, 27740, 6171, 5929, 18, 1365, 9734, 13303, 8140, 1124, 5502, 1009, 15533, 11768, 8497, 1005, 6680, 1009, 16229, 20, 25942, 1079, 2224, 9888, 1009, 19783, 1059, 89, 4307, 3363, 38, 1469, 5005, 1040, 2873, 1066, 7796, 29040, 3766, 1067, 3082, 5343, 18511, 1054, 3237, 6405, 1411, 8349, 1054, 7527, 2672, 1005, 1054, 10135, 3803, 16624, 1017, 1049, 28961, 18, 1060, 3619, 1400, 1049, 4813, 1060, 5829, 1005, 16294, 1049, 5549, 1009, 11255, 1005, 8609, 3029, 1054, 13740, 10177, 20, 14439, 1348, 1049, 7026, 1054, 3650, 1066, 17756, 1059, 1330, 1013, 38, 1469, 5005, 1040, 2873, 1066, 7796, 3141, 8179, 1009, 3381, 15601, 16181, 1291, 1005, 17176, 2055, 3617, 2330, 1297, 1069, 1114, 1431, 8185, 18, 1225, 19745, 1357, 2828, 1009, 12797, 1259, 1051, 17483, 24519, 15, 19745, 1005, 17690, 1054, 11137, 9598, 18987, 40, 1005, 1228, 2393, 48, 1565, 14439, 1348, 1049, 7026, 1054, 3650, 1066, 17756, 1005, 4868, 1049, 4288, 1009, 30943, 1054, 11230, 21727, 1060, 4338, 1187, 17633, 1059, 1789, 4401, 38, 1469, 5005, 1040, 2873, 1066, 7796, 28165, 1044, 6737, 31758, 1024, 3484, 1605, 1235, 7137, 1009, 6455, 1160, 2177, 2218, 2270, 10348, 3750, 11993, 1327, 18910, 1043, 3125, 4093, 19108, 2324, 2576, 3125, 1383, 21707, 3125, 27204, 13758, 1699, 1026, 7026, 1054, 3650, 1066, 7515, 4839, 20624, 1375, 71, 1026, 1853, 1049, 7026, 1054, 3650, 1066, 1072, 6455, 20, 21980, 79, 3064, 4672, 1060, 4501, 5221, 1679, 4802, 1166, 1005, 2638, 3787, 1049, 6218, 1870, 1726, 1289, 6857, 2875, 1252, 3238, 1054, 1944, 4786, 2290, 10989, 26708, 9531, 11163, 15258, 1072, 24908, 5098, 28705, 3787, 24488, 1049, 1622, 11068, 4672, 24488, 1049, 1622, 8539, 1364, 22997, 1566, 5, 2721, 2250, 11585, 1009, 1009, 19619, 1112, 1797, 2902, 4237, 1054, 3650, 1066, 17756, 28625, 71, 1005, 17756, 1467, 25158, 1416, 1005, 8228, 1085, 2404, 1383, 22220, 1797, 2902, 4237, 1054, 3650, 1066, 7515, 4839, 1576, 5882, 1045, 1049, 11230, 1940, 1024, 1078, 2689, 14764, 5026, 3551, 9874, 1051, 1253, 5, 135, 1037, 2238, 7026, 1054, 3650, 1066, 28625, 1016, 18496, 9784, 10888, 1458, 17910, 21908, 5168, 5765, 28789, 2503, 17608, 1005, 23870, 1027, 5168, 5765, 1106, 1814, 20299, 1149, 1005, 27152, 73, 3779, 2555, 12792, 1208, 1043, 1006, 4614, 1940, 4096, 1043, 1006, 4614, 4935, 1420, 4633, 26373, 1009, 25227, 1383, 1144, 1128, 1084, 1144, 1119, 1063, 20624, 1375, 71, 1118, 25999, 4899, 16071, 112, 4579, 1175, 7026, 1054, 3650, 8280, 7027, 1132, 3997, 4453, 3983, 1683, 1316, 1236, 1006, 10242, 1305, 9478, 1118, 4823, 1060, 4188, 3019, 17042, 1067, 8524, 4223, 10654, 8584, 1175, 23482, 15332, 1021, 1036, 21673, 1175, 2988, 1133, 1307, 4705, 5309, 1158, 29, 1175, 8750, 6441, 44, 1175, 28123, 1779, 3211, 28, 1839, 8741, 1839, 7098, 32, 13383, 5056, 15312, 2708, 25, 7942, 2337, 28, 1, 12151, 4347, 1009, 21136, 4300, 37, 1175, 2654, 24443, 1006, 10159, 11658, 14527, 1392, 21, 23302, 4347, 1009, 21136, 4300, 3900, 3026, 1294, 3361, 1508, 1068, 1663, 1094, 5099, 17072, 2653, 1160, 11059, 1006, 27550, 4493, 1068, 1006, 11874, 1009, 1044, 21136, 4300, 3576, 4096, 1006, 5865, 1206, 1160, 16154, 1044, 21136, 4300, 1068, 12212, 37, 21665, 1096, 1094, 1271, 5729, 1048, 5846, 1037, 1046, 1006, 4953, 1009, 2653, 15315, 7178, 1009, 1094, 1871, 2357, 11816, 1048, 2930, 3489, 1096, 4347, 1800, 1322, 1006, 4967, 15974, 2122, 4380, 1160, 6105, 3048, 1213, 2444, 4125, 1054, 5426, 7101, 1273, 1118, 1178, 1044, 5675, 1048, 4215, 1756, 1508, 3794, 5089, 6788, 9135, 1800, 1068, 6141, 1048, 1006, 11309, 1096, 5560, 3630, 1060, 1048, 4929, 17822, 2585, 2340, 25852, 1026, 1531, 2220, 28931, 1463, 1427, 1016, 1187, 18865, 1043, 1026, 8393, 3630, 1049, 1294, 2351, 1043, 10598, 3630, 1060, 1294, 14403, 2553, 1199, 1068, 1124, 1287, 4525, 31898, 2289, 1616, 1298, 31364, 5232, 1114, 3028, 2926, 1005, 1114, 1187, 3794, 6941, 1005, 1026, 4410, 1118, 3689, 1800, 1150, 21275, 1104, 3033, 8, 2457, 1298, 1178, 1680, 3910, 1005, 11186, 30759, 1157, 1043, 1006, 5099, 1187, 2776, 14147, 1084, 6082, 2572, 3005, 1160, 1096, 1592, 18091, 1940, 1458, 1096, 1048, 4564, 1511, 10395, 1009, 5883, 6023, 1096, 1048, 7843, 2315, 1006, 2733, 4493, 1009, 16154, 1044, 21136, 4300, 1996, 1009, 5392, 1800, 1009, 7108, 4011, 2324, 5288, 2572, 3659, 22737, 1005, 1160, 12816, 6242, 1043, 5917, 92, 16728, 8042, 1006, 3028, 9436, 1620, 1184, 1511, 4929, 1054, 10817, 1054, 1044, 2269, 2072, 19991, 2950, 1006, 4967, 15974, 1309, 1160, 4800, 20581, 1132, 5917, 92, 16728, 1009, 1094, 23057, 1118, 1184, 9636 ]

[ 6933, 1263, 14192, 1248, 78, 1171, 1062, 1088, 1009, 8052, 1042, 95, 2725, 1155, 3772, 2437, 1392, 29390, 1, 1063, 5173, 1009, 2987, 3516, 1049, 15157, 1054, 7182, 1009, 16641, 1294, 3945, 20780, 4193, 1009, 5874, 1009, 3977, 1195, 15190, 1365, 1132, 2250, 1101, 1005, 1799, 1009, 3042, 1072, 1084, 2359, 2878, 2212, 1054, 8462, 2474, 28102, 2965, 1182, 5021, 1009, 5773, 1110, 5, 15036, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 42, 15995, 22708, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 3306, 1171, 2044, 1291, 1009, 11025, 15, 9866, 8325, 15036, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 1817, 1046, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 3306, 1171, 2044, 1291, 1009, 5638, 15, 9866, 19594, 5, 675, 1071, 1366, 31576, 1009, 1852, 1308, 675, 6424, 1041, 11994, 1009, 1852, 2548, 12962, 14455, 30726, 23, 23012, 13290, 2541, 35, 30871, 30726, 23, 23012, 13290, 7045, 35, 28, 1433, 30726, 23, 23012, 13290, 7252, 35, 28, 14455, 30726, 23, 1371, 1171, 13690, 35, 0, 1433, 30726, 7484, 1133, 1046, 13690, 35, 1433, 30726, 23, 23012, 13308, 2541, 35, 28, 1433, 30726, 23, 23012, 13308, 7045, 35, 28, 1433, 30726, 23, 23012, 13308, 7252, 35, 0, 1433, 30726, 23, 1371, 1171, 1839, 35, 0, 1433, 30726, 7484, 1133, 1046, 1839, 35, 1433, 30726, 23, 23012, 1839, 2541, 35, 23, 1433, 30726, 23, 23012, 1839, 7045, 35, 24, 1433, 30726, 23, 23012, 1839, 7252, 35, 0, 14455, 30726, 23, 1371, 1171, 2830, 35, 0, 1433, 30726, 7484, 1133, 1046, 2830, 35, 1433, 30726, 23, 23012, 2830, 2541, 35, 22, 1433, 30726, 23, 23012, 2830, 7045, 35, 22, 1433, 30726, 23, 23012, 2830, 7252, 35, 0, 1433, 30726, 23, 1371, 1171, 2944, 35, 25, 1433, 30726, 7484, 1133, 1046, 2944, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 54, 5218, 15300, 81, 98, 45, 12263, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 23, 23012, 2944, 2541, 35, 28, 98, 30726, 23, 23012, 2944, 7045, 35, 28, 9866, 13, 1433, 30726, 23, 23012, 2944, 7252, 35, 0, 14455, 30726, 23, 1371, 1171, 3612, 35, 0, 1433, 30726, 7484, 1133, 1046, 3612, 35, 1433, 30726, 23, 23012, 3612, 2541, 35, 25, 1433, 30726, 23, 23012, 3612, 7045, 35, 26, 1433, 30726, 23, 23012, 3612, 7252, 35, 0, 1433, 30726, 23, 1371, 1171, 3502, 35, 0, 1433, 30726, 7484, 1133, 1046, 3502, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 40, 14090, 1051, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 23, 23012, 3502, 2541, 35, 28, 98, 30726, 23, 23012, 3502, 7045, 35, 28, 98, 30726, 23, 23012, 3502, 7252, 35, 0, 14455, 30726, 23, 1371, 1171, 3452, 35, 0, 1433, 30726, 7484, 1133, 1046, 3452, 35, 1433, 30726, 23, 23012, 3452, 2541, 35, 28, 9866, 13, 1433, 30726, 23, 23012, 3452, 7045, 35, 25, 1433, 30726, 23, 23012, 3452, 7252, 35, 25, 1433, 30726, 23, 1371, 1171, 3487, 35, 24, 1433, 30726, 7484, 1133, 1046, 3487, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 23, 23012, 3487, 2541, 35, 25, 1433, 30726, 23, 23012, 3487, 7045, 35, 28, 98, 30726, 23, 23012, 3487, 7252, 35, 28, 9866, 13, 14455, 30726, 24, 1371, 1171, 11437, 35, 23, 1433, 30726, 24, 14951, 1046, 11437, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 42, 22708, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 11437, 2541, 35, 28, 1433, 30726, 24, 23012, 11437, 7045, 35, 28, 1433, 30726, 24, 23012, 11437, 7252, 35, 0, 1433, 30726, 24, 1371, 1171, 12599, 35, 0, 1433, 30726, 24, 14951, 1046, 12599, 35, 1433, 30726, 24, 23012, 12599, 2541, 35, 25, 1433, 30726, 24, 23012, 12599, 7045, 35, 22, 1433, 30726, 24, 23012, 12599, 7252, 35, 0, 14455, 30726, 24, 1371, 1171, 12594, 35, 0, 1433, 30726, 24, 14951, 1046, 12594, 35, 1433, 30726, 24, 23012, 12594, 2541, 35, 28, 1433, 30726, 24, 23012, 12594, 7045, 35, 26, 1433, 30726, 24, 23012, 12594, 7252, 35, 23, 1433, 30726, 24, 1371, 1171, 12275, 35, 0, 1433, 30726, 24, 14951, 1046, 12275, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 14469, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 12275, 2541, 35, 26, 1433, 30726, 24, 23012, 12275, 7045, 35, 28, 1433, 30726, 24, 23012, 12275, 7252, 35, 9866, 13, 28, 14455, 30726, 24, 1371, 1171, 12332, 35, 0, 1433, 30726, 24, 14951, 1046, 12332, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 57, 6926, 1021, 5656, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 12332, 2541, 35, 25, 1433, 30726, 24, 23012, 12332, 7045, 35, 29, 1433, 30726, 24, 23012, 12332, 7252, 35, 28, 1433, 30726, 24, 1371, 1171, 13290, 35, 25, 1433, 30726, 24, 14951, 1046, 13290, 35, 1433, 30726, 24, 23012, 13290, 2541, 35, 28, 1433, 30726, 24, 23012, 13290, 7045, 35, 30871, 30726, 24, 23012, 13290, 7252, 35, 22, 14455, 30726, 24, 1371, 1171, 13690, 35, 0, 1433, 30726, 24, 14951, 1046, 13690, 35, 1433, 30726, 24, 23012, 13690, 2541, 35, 23, 1433, 30726, 24, 23012, 13690, 7045, 35, 23, 1433, 30726, 24, 23012, 13690, 7252, 35, 0, 1433, 30726, 24, 1371, 1171, 13367, 35, 24, 1433, 30726, 24, 14951, 1046, 13367, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 13367, 2541, 35, 28, 1433, 30726, 24, 23012, 13367, 7045, 35, 28, 1433, 30726, 24, 23012, 13367, 7252, 35, 0, 14455, 30726, 25, 1371, 1171, 11437, 35, 23, 1433, 30726, 25, 14951, 1046, 11437, 35, 1433, 30726, 25, 23012, 12275, 2541, 35, 28, 1433, 30726, 25, 23012, 12275, 7045, 35, 9866, 13, 28, 1433, 30726, 25, 23012, 12275, 7252, 35, 0, 14455, 30726, 26, 1371, 1171, 11437, 35, 23, 1433, 30726, 26, 14951, 1046, 11437, 35, 1433, 30726, 26, 23012, 11437, 2541, 35, 25, 1433, 30726, 26, 23012, 11437, 7045, 35, 23, 1433, 30726, 26, 23012, 11437, 7252, 35, 0, 1433, 30726, 26, 1371, 1171, 12599, 35, 24, 1433, 30726, 26, 14951, 1046, 12599, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 26, 23012, 12599, 2541, 35, 28, 98, 30726, 26, 23012, 12599, 7045, 35, 28, 9866, 13, 1433, 30726, 26, 23012, 12599, 7252, 35, 0, 14455, 30726, 26, 1371, 1171, 12594, 35, 0, 1433, 30726, 26, 14951, 1046, 12594, 35, 3296, 9079, 13382, 16033, 1049, 15157, 1054, 7182, 1009, 16641, 1294, 3945, 20780, 4193, 1009, 5874, 1009, 3977, 1, 2858, 1144, 13974, 1348, 1009, 1163, 1631, 1096, 1044, 7867, 1048, 1588, 75, 1005, 19164, 1094, 10453, 1009, 8697, 1100, 1054, 2357, 1054, 1094, 9418, 1009, 3759, 3263, 1879, 1831, 1195, 8744, 1118, 4321, 2079, 1258, 13089, 1054, 21795, 1054, 22812, 3384, 18, 29147, 2286, 14152, 1044, 9788, 1197, 1268, 1189, 9287, 22504, 1770, 5035, 1144, 13974, 1348, 1009, 1163, 1631, 21851, 2310, 1537, 12183, 1049, 1018, 1210, 675, 2238, 19, 1074, 1189, 9287, 1253, 11957, 1699, 26275, 4777, 2702, 6713, 1161, 1187, 2138, 2365, 3576, 75, 6205, 29168, 22802, 3263, 14112, 1072, 11953, 3996, 18418, 1072, 11953, 1, 3270, 1019, 23249, 1132, 83, 1153, 1096, 1094, 3610, 1009, 26596, 71, 4606, 5078, 5602, 2531, 19449, 24350, 1324, 1009, 8039, 1005, 3047, 21568, 1049, 7247, 17342, 675, 1571, 17158, 1054, 4440, 1249, 1024, 1894, 1206, 27722, 3056, 1502, 1550, 4065, 1054, 26971, 13310, 1206, 4290, 1009, 15643, 27589, 5160, 7868, 2150, 1273, 1005, 1744, 1362, 23153, 1009, 11569, 2784, 1054, 3905, 1009, 7108, 1680, 19519, 1069, 1309, 27722, 1054, 3905, 29392, 1532, 1155, 1165, 20065, 1854, 3313, 1027, 7156, 1043, 1094, 3964, 10954, 4933, 1029, 25265, 3247, 1091, 1043, 8340, 15710, 1452, 1008, 23453, 86, 1154, 4236, 1060, 24157, 1005, 1094, 1869, 1362, 2520, 1272, 6399, 3431, 23716, 1005, 6845, 1278, 25265, 3247, 3017, 1043, 1094, 1206, 10486, 28457, 1048, 3441, 1278, 3442, 1202, 1094, 26844, 4385, 1493, 2480, 10260, 29309, 3273, 1005, 1680, 1249, 1024, 1202, 3273, 7001, 10099, 8473, 1482, 3957, 14360, 2417, 9990, 3461, 1511, 1224, 3454, 9729, 1096, 3925, 8386, 1118, 25666, 1009, 1419, 3320, 7852, 2372, 1371, 1072, 1681, 77, 15578, 3270, 1081, 1530, 9110, 1118, 2916, 1009, 19965, 30218, 3043, 1312, 1118, 5569, 14078, 1159, 4796, 5683, 1358, 84, 1017, 1358, 1020, 2378, 1838, 1112, 1005, 3909, 15579, 1257, 3270, 1019, 23249, 1132, 83, 1153, 4334, 10046, 11001, 4340, 15, 675, 1163, 7991, 8309, 1965, 78, 4437, 5837, 8923, 30020, 6005, 2224, 20353, 2224, 26, 27618, 3377, 57, 1021, 15579, 1859, 1252, 1912, 1391, 1898, 5683, 1358, 84, 1017, 1358, 1020, 1132, 83, 1153, 4808, 50, 11001, 30861, 12874, 20, 19449, 1123, 2223, 11773, 14877, 3210, 7224, 3818, 9079, 1257, 1537, 1046, 12679, 23532, 3362, 12154, 1054, 4187, 1, 3270, 1019, 23249, 2146, 1602, 2669, 1096, 1094, 3610, 1009, 26596, 71, 4606, 5078, 5602, 2531, 19449, 24350, 1324, 1049, 3821, 1060, 17342, 675, 1571, 17158, 1054, 4440, 1249, 1024, 1894, 1206, 27722, 3056, 1502, 1550, 4065, 1054, 26971, 13310, 1206, 4290, 1009, 15643, 27589, 5160, 7868, 2150, 1273, 1005, 1744, 1362, 23153, 1009, 11569, 2784, 1054, 3905, 1009, 7108, 1680, 19519, 1069, 1309, 27722, 1054, 3905, 29392, 1532, 1155, 1165, 20065, 1854, 2474, 6104, 2372, 1371, 1072, 1681, 77, 15578, 3270, 1081, 1530, 9110, 1118, 2916, 1009, 19965, 30218, 3043, 1312, 1118, 5569, 14078, 1159, 4796, 5683, 1358, 84, 1017, 1358, 3150, 1764, 7156, 1043, 1094, 3964, 10954, 4933, 1029, 25265, 3247, 1091, 1043, 8340, 15710, 1452, 1008, 23453, 86, 1154, 4236, 1060, 24157, 1005, 1094, 1869, 1362, 2520, 1272, 6399, 3431, 23716, 1005, 6845, 1278, 25265, 3247, 3017, 1043, 1094, 1206, 10486, 28457, 1048, 3441, 1278, 3442, 1202, 1094, 26844, 4385, 1493, 2480, 10260, 29309, 3273, 1005, 1680, 1249, 1024, 1202, 3273, 7001, 10099, 8473, 1482, 3957, 14360, 2417, 9990, 3461, 1511, 1224, 3454, 9729, 1096, 3925, 8386, 1118, 25666, 1009, 8730, 2378, 1838, 1112, 1005, 3909, 15579, 1257, 3270, 1019, 23249, 2146, 1602, 2669, 4334, 10046, 11001, 4340, 15, 9002, 48, 8309, 30274, 6210, 31031, 2262, 7974, 20, 13242, 20, 19177, 1782, 24, 25605, 3377, 57, 1021, 15579, 1859, 1252, 1912, 1391, 1898, 5683, 1358, 84, 1017, 1358, 1020, 2146, 1602, 2669, 4808, 50, 11001, 30861, 12874, 20, 19449, 1123, 2223, 11773, 15681, 3210, 7224, 3818, 9079, 1257, 1537, 1042, 1602, 2669, 23532, 3362, 12154, 1054, 3917, 1, 16860, 3936, 3465, 15221, 3306, 1500, 13229, 1487, 1009, 3353, 1009, 2879, 7224, 1096, 1044, 30885, 6023, 1005, 5098, 15849, 20, 3126, 1026, 2978, 0, 15763, 1049, 23516, 1087, 1009, 1307, 1009, 3268, 1006, 2224, 1009, 3049, 1009, 2026, 2639, 3126, 6721, 1049, 2671, 1009, 6075, 158, 18343, 4507, 1295, 1005, 5857, 1006, 10952, 9249, 1114, 8369, 1049, 5428, 23516, 11478, 25732, 2013, 3419, 1009, 7378, 10929, 3529, 15763, 1060, 5704, 1365, 16219, 1005, 23421, 1005, 6650, 1009, 7378, 10929, 3529, 31967, 1318, 15763, 1054, 9339, 2378, 1078, 12851, 1049, 8063, 1, 1063, 3595, 1128, 5071, 3414, 1122, 1226, 1009, 22787, 11131, 1010, 14379, 1400, 1006, 2451, 4539, 6600, 1060, 5173, 15, 1195, 1044, 8552, 22960, 3461, 18087, 1054, 2666, 3872, 6224, 675, 1005, 2124, 1063, 30501, 1195, 5191, 1054, 3399, 1024, 4041, 3399, 26201, 3110, 1453, 22528, 2560, 3872, 6108, 1318, 1257, 6454, 1009, 20007, 6842, 22960, 8815, 1009, 3246, 14526, 5664, 1887, 16095, 12897, 6842, 1009, 3246, 2555, 1320, 4707, 22960, 8815, 1187, 2138, 2365, 1365, 8521, 1009, 3246, 1797, 2206, 1009, 2960, 7225, 10286, 1060, 21871, 5961, 4969, 1072, 3246, 1, 8979, 1909, 5537, 55, 45, 13046, 15088, 4774, 1909, 1039, 1016, 1024, 19145, 18, 1807, 2417, 1009, 1039, 1016, 7498, 1349, 1318, 3509, 1009, 1228, 2023, 24, 2525, 1096, 1044, 2417, 1009, 22952, 1039, 1016, 7498, 1860, 1435, 1422, 6616, 1009, 1646, 19, 27074, 1009, 2129, 1877, 30007, 1096, 1006, 2750, 1712, 3023, 4485, 1049, 4317, 1100, 9095, 1114, 3349, 1009, 2924, 3023, 4485, 1159, 3279, 1082, 5375, 1107, 1067, 1362, 1056, 1847, 4863, 1048, 1006, 1712, 3023, 1049, 4317, 1100, 1006, 3279, 1082, 5375, 1107, 1207, 1640, 3085, 1018, 3258, 2801, 1106, 1947, 1029, 2255, 1043, 1782, 6616, 1009, 1646, 19 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6933, 1263, 14192, 1248, 78, 1171, 1062, 1088, 1009, 8052, 1042, 95, 2725, 1155, 3772, 2437, 1392, 29390, 1, 1063, 5173, 1009, 2987, 3516, 1049, 15157, 1054, 7182, 1009, 16641, 1294, 3945, 20780, 4193, 1009, 5874, 1009, 3977, 1195, 15190, 1365, 1132, 2250, 1101, 1005, 1799, 1009, 3042, 1072, 1084, 2359, 2878, 2212, 1054, 8462, 2474, 28102, 2965, 1182, 5021, 1009, 5773, 1110, 5, 15036, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 42, 15995, 22708, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 3306, 1171, 2044, 1291, 1009, 11025, 15, 9866, 8325, 15036, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 1817, 1046, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 3306, 1171, 2044, 1291, 1009, 5638, 15, 9866, 19594, 5, 675, 1071, 1366, 31576, 1009, 1852, 1308, 675, 6424, 1041, 11994, 1009, 1852, 2548, 12962, 14455, 30726, 23, 23012, 13290, 2541, 35, 30871, 30726, 23, 23012, 13290, 7045, 35, 28, 1433, 30726, 23, 23012, 13290, 7252, 35, 28, 14455, 30726, 23, 1371, 1171, 13690, 35, 0, 1433, 30726, 7484, 1133, 1046, 13690, 35, 1433, 30726, 23, 23012, 13308, 2541, 35, 28, 1433, 30726, 23, 23012, 13308, 7045, 35, 28, 1433, 30726, 23, 23012, 13308, 7252, 35, 0, 1433, 30726, 23, 1371, 1171, 1839, 35, 0, 1433, 30726, 7484, 1133, 1046, 1839, 35, 1433, 30726, 23, 23012, 1839, 2541, 35, 23, 1433, 30726, 23, 23012, 1839, 7045, 35, 24, 1433, 30726, 23, 23012, 1839, 7252, 35, 0, 14455, 30726, 23, 1371, 1171, 2830, 35, 0, 1433, 30726, 7484, 1133, 1046, 2830, 35, 1433, 30726, 23, 23012, 2830, 2541, 35, 22, 1433, 30726, 23, 23012, 2830, 7045, 35, 22, 1433, 30726, 23, 23012, 2830, 7252, 35, 0, 1433, 30726, 23, 1371, 1171, 2944, 35, 25, 1433, 30726, 7484, 1133, 1046, 2944, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 54, 5218, 15300, 81, 98, 45, 12263, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 23, 23012, 2944, 2541, 35, 28, 98, 30726, 23, 23012, 2944, 7045, 35, 28, 9866, 13, 1433, 30726, 23, 23012, 2944, 7252, 35, 0, 14455, 30726, 23, 1371, 1171, 3612, 35, 0, 1433, 30726, 7484, 1133, 1046, 3612, 35, 1433, 30726, 23, 23012, 3612, 2541, 35, 25, 1433, 30726, 23, 23012, 3612, 7045, 35, 26, 1433, 30726, 23, 23012, 3612, 7252, 35, 0, 1433, 30726, 23, 1371, 1171, 3502, 35, 0, 1433, 30726, 7484, 1133, 1046, 3502, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 40, 14090, 1051, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 23, 23012, 3502, 2541, 35, 28, 98, 30726, 23, 23012, 3502, 7045, 35, 28, 98, 30726, 23, 23012, 3502, 7252, 35, 0, 14455, 30726, 23, 1371, 1171, 3452, 35, 0, 1433, 30726, 7484, 1133, 1046, 3452, 35, 1433, 30726, 23, 23012, 3452, 2541, 35, 28, 9866, 13, 1433, 30726, 23, 23012, 3452, 7045, 35, 25, 1433, 30726, 23, 23012, 3452, 7252, 35, 25, 1433, 30726, 23, 1371, 1171, 3487, 35, 24, 1433, 30726, 7484, 1133, 1046, 3487, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 23, 23012, 3487, 2541, 35, 25, 1433, 30726, 23, 23012, 3487, 7045, 35, 28, 98, 30726, 23, 23012, 3487, 7252, 35, 28, 9866, 13, 14455, 30726, 24, 1371, 1171, 11437, 35, 23, 1433, 30726, 24, 14951, 1046, 11437, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 42, 22708, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 11437, 2541, 35, 28, 1433, 30726, 24, 23012, 11437, 7045, 35, 28, 1433, 30726, 24, 23012, 11437, 7252, 35, 0, 1433, 30726, 24, 1371, 1171, 12599, 35, 0, 1433, 30726, 24, 14951, 1046, 12599, 35, 1433, 30726, 24, 23012, 12599, 2541, 35, 25, 1433, 30726, 24, 23012, 12599, 7045, 35, 22, 1433, 30726, 24, 23012, 12599, 7252, 35, 0, 14455, 30726, 24, 1371, 1171, 12594, 35, 0, 1433, 30726, 24, 14951, 1046, 12594, 35, 1433, 30726, 24, 23012, 12594, 2541, 35, 28, 1433, 30726, 24, 23012, 12594, 7045, 35, 26, 1433, 30726, 24, 23012, 12594, 7252, 35, 23, 1433, 30726, 24, 1371, 1171, 12275, 35, 0, 1433, 30726, 24, 14951, 1046, 12275, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 14469, 98, 4826, 39, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 12275, 2541, 35, 26, 1433, 30726, 24, 23012, 12275, 7045, 35, 28, 1433, 30726, 24, 23012, 12275, 7252, 35, 9866, 13, 28, 14455, 30726, 24, 1371, 1171, 12332, 35, 0, 1433, 30726, 24, 14951, 1046, 12332, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 57, 6926, 1021, 5656, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 12332, 2541, 35, 25, 1433, 30726, 24, 23012, 12332, 7045, 35, 29, 1433, 30726, 24, 23012, 12332, 7252, 35, 28, 1433, 30726, 24, 1371, 1171, 13290, 35, 25, 1433, 30726, 24, 14951, 1046, 13290, 35, 1433, 30726, 24, 23012, 13290, 2541, 35, 28, 1433, 30726, 24, 23012, 13290, 7045, 35, 30871, 30726, 24, 23012, 13290, 7252, 35, 22, 14455, 30726, 24, 1371, 1171, 13690, 35, 0, 1433, 30726, 24, 14951, 1046, 13690, 35, 1433, 30726, 24, 23012, 13690, 2541, 35, 23, 1433, 30726, 24, 23012, 13690, 7045, 35, 23, 1433, 30726, 24, 23012, 13690, 7252, 35, 0, 1433, 30726, 24, 1371, 1171, 13367, 35, 24, 1433, 30726, 24, 14951, 1046, 13367, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 24, 23012, 13367, 2541, 35, 28, 1433, 30726, 24, 23012, 13367, 7045, 35, 28, 1433, 30726, 24, 23012, 13367, 7252, 35, 0, 14455, 30726, 25, 1371, 1171, 11437, 35, 23, 1433, 30726, 25, 14951, 1046, 11437, 35, 1433, 30726, 25, 23012, 12275, 2541, 35, 28, 1433, 30726, 25, 23012, 12275, 7045, 35, 9866, 13, 28, 1433, 30726, 25, 23012, 12275, 7252, 35, 0, 14455, 30726, 26, 1371, 1171, 11437, 35, 23, 1433, 30726, 26, 14951, 1046, 11437, 35, 1433, 30726, 26, 23012, 11437, 2541, 35, 25, 1433, 30726, 26, 23012, 11437, 7045, 35, 23, 1433, 30726, 26, 23012, 11437, 7252, 35, 0, 1433, 30726, 26, 1371, 1171, 12599, 35, 24, 1433, 30726, 26, 14951, 1046, 12599, 35, 26380, 5957, 1165, 7309, 41, 3082, 82, 2509, 24, 98, 52, 1163, 1248, 78, 5697, 98, 2870, 56, 98, 2608, 1027, 1009, 3977, 10675, 1433, 30726, 26, 23012, 12599, 2541, 35, 28, 98, 30726, 26, 23012, 12599, 7045, 35, 28, 9866, 13, 1433, 30726, 26, 23012, 12599, 7252, 35, 0, 14455, 30726, 26, 1371, 1171, 12594, 35, 0, 1433, 30726, 26, 14951, 1046, 12594, 35, 3296, 9079, 13382, 16033, 1049, 15157, 1054, 7182, 1009, 16641, 1294, 3945, 20780, 4193, 1009, 5874, 1009, 3977, 1, 2858, 1144, 13974, 1348, 1009, 1163, 1631, 1096, 1044, 7867, 1048, 1588, 75, 1005, 19164, 1094, 10453, 1009, 8697, 1100, 1054, 2357, 1054, 1094, 9418, 1009, 3759, 3263, 1879, 1831, 1195, 8744, 1118, 4321, 2079, 1258, 13089, 1054, 21795, 1054, 22812, 3384, 18, 29147, 2286, 14152, 1044, 9788, 1197, 1268, 1189, 9287, 22504, 1770, 5035, 1144, 13974, 1348, 1009, 1163, 1631, 21851, 2310, 1537, 12183, 1049, 1018, 1210, 675, 2238, 19, 1074, 1189, 9287, 1253, 11957, 1699, 26275, 4777, 2702, 6713, 1161, 1187, 2138, 2365, 3576, 75, 6205, 29168, 22802, 3263, 14112, 1072, 11953, 3996, 18418, 1072, 11953, 1, 3270, 1019, 23249, 1132, 83, 1153, 1096, 1094, 3610, 1009, 26596, 71, 4606, 5078, 5602, 2531, 19449, 24350, 1324, 1009, 8039, 1005, 3047, 21568, 1049, 7247, 17342, 675, 1571, 17158, 1054, 4440, 1249, 1024, 1894, 1206, 27722, 3056, 1502, 1550, 4065, 1054, 26971, 13310, 1206, 4290, 1009, 15643, 27589, 5160, 7868, 2150, 1273, 1005, 1744, 1362, 23153, 1009, 11569, 2784, 1054, 3905, 1009, 7108, 1680, 19519, 1069, 1309, 27722, 1054, 3905, 29392, 1532, 1155, 1165, 20065, 1854, 3313, 1027, 7156, 1043, 1094, 3964, 10954, 4933, 1029, 25265, 3247, 1091, 1043, 8340, 15710, 1452, 1008, 23453, 86, 1154, 4236, 1060, 24157, 1005, 1094, 1869, 1362, 2520, 1272, 6399, 3431, 23716, 1005, 6845, 1278, 25265, 3247, 3017, 1043, 1094, 1206, 10486, 28457, 1048, 3441, 1278, 3442, 1202, 1094, 26844, 4385, 1493, 2480, 10260, 29309, 3273, 1005, 1680, 1249, 1024, 1202, 3273, 7001, 10099, 8473, 1482, 3957, 14360, 2417, 9990, 3461, 1511, 1224, 3454, 9729, 1096, 3925, 8386, 1118, 25666, 1009, 1419, 3320, 7852, 2372, 1371, 1072, 1681, 77, 15578, 3270, 1081, 1530, 9110, 1118, 2916, 1009, 19965, 30218, 3043, 1312, 1118, 5569, 14078, 1159, 4796, 5683, 1358, 84, 1017, 1358, 1020, 2378, 1838, 1112, 1005, 3909, 15579, 1257, 3270, 1019, 23249, 1132, 83, 1153, 4334, 10046, 11001, 4340, 15, 675, 1163, 7991, 8309, 1965, 78, 4437, 5837, 8923, 30020, 6005, 2224, 20353, 2224, 26, 27618, 3377, 57, 1021, 15579, 1859, 1252, 1912, 1391, 1898, 5683, 1358, 84, 1017, 1358, 1020, 1132, 83, 1153, 4808, 50, 11001, 30861, 12874, 20, 19449, 1123, 2223, 11773, 14877, 3210, 7224, 3818, 9079, 1257, 1537, 1046, 12679, 23532, 3362, 12154, 1054, 4187, 1, 3270, 1019, 23249, 2146, 1602, 2669, 1096, 1094, 3610, 1009, 26596, 71, 4606, 5078, 5602, 2531, 19449, 24350, 1324, 1049, 3821, 1060, 17342, 675, 1571, 17158, 1054, 4440, 1249, 1024, 1894, 1206, 27722, 3056, 1502, 1550, 4065, 1054, 26971, 13310, 1206, 4290, 1009, 15643, 27589, 5160, 7868, 2150, 1273, 1005, 1744, 1362, 23153, 1009, 11569, 2784, 1054, 3905, 1009, 7108, 1680, 19519, 1069, 1309, 27722, 1054, 3905, 29392, 1532, 1155, 1165, 20065, 1854, 2474, 6104, 2372, 1371, 1072, 1681, 77, 15578, 3270, 1081, 1530, 9110, 1118, 2916, 1009, 19965, 30218, 3043, 1312, 1118, 5569, 14078, 1159, 4796, 5683, 1358, 84, 1017, 1358, 3150, 1764, 7156, 1043, 1094, 3964, 10954, 4933, 1029, 25265, 3247, 1091, 1043, 8340, 15710, 1452, 1008, 23453, 86, 1154, 4236, 1060, 24157, 1005, 1094, 1869, 1362, 2520, 1272, 6399, 3431, 23716, 1005, 6845, 1278, 25265, 3247, 3017, 1043, 1094, 1206, 10486, 28457, 1048, 3441, 1278, 3442, 1202, 1094, 26844, 4385, 1493, 2480, 10260, 29309, 3273, 1005, 1680, 1249, 1024, 1202, 3273, 7001, 10099, 8473, 1482, 3957, 14360, 2417, 9990, 3461, 1511, 1224, 3454, 9729, 1096, 3925, 8386, 1118, 25666, 1009, 8730, 2378, 1838, 1112, 1005, 3909, 15579, 1257, 3270, 1019, 23249, 2146, 1602, 2669, 4334, 10046, 11001, 4340, 15, 9002, 48, 8309, 30274, 6210, 31031, 2262, 7974, 20, 13242, 20, 19177, 1782, 24, 25605, 3377, 57, 1021, 15579, 1859, 1252, 1912, 1391, 1898, 5683, 1358, 84, 1017, 1358, 1020, 2146, 1602, 2669, 4808, 50, 11001, 30861, 12874, 20, 19449, 1123, 2223, 11773, 15681, 3210, 7224, 3818, 9079, 1257, 1537, 1042, 1602, 2669, 23532, 3362, 12154, 1054, 3917, 1, 16860, 3936, 3465, 15221, 3306, 1500, 13229, 1487, 1009, 3353, 1009, 2879, 7224, 1096, 1044, 30885, 6023, 1005, 5098, 15849, 20, 3126, 1026, 2978, 0, 15763, 1049, 23516, 1087, 1009, 1307, 1009, 3268, 1006, 2224, 1009, 3049, 1009, 2026, 2639, 3126, 6721, 1049, 2671, 1009, 6075, 158, 18343, 4507, 1295, 1005, 5857, 1006, 10952, 9249, 1114, 8369, 1049, 5428, 23516, 11478, 25732, 2013, 3419, 1009, 7378, 10929, 3529, 15763, 1060, 5704, 1365, 16219, 1005, 23421, 1005, 6650, 1009, 7378, 10929, 3529, 31967, 1318, 15763, 1054, 9339, 2378, 1078, 12851, 1049, 8063, 1, 1063, 3595, 1128, 5071, 3414, 1122, 1226, 1009, 22787, 11131, 1010, 14379, 1400, 1006, 2451, 4539, 6600, 1060, 5173, 15, 1195, 1044, 8552, 22960, 3461, 18087, 1054, 2666, 3872, 6224, 675, 1005, 2124, 1063, 30501, 1195, 5191, 1054, 3399, 1024, 4041, 3399, 26201, 3110, 1453, 22528, 2560, 3872, 6108, 1318, 1257, 6454, 1009, 20007, 6842, 22960, 8815, 1009, 3246, 14526, 5664, 1887, 16095, 12897, 6842, 1009, 3246, 2555, 1320, 4707, 22960, 8815, 1187, 2138, 2365, 1365, 8521, 1009, 3246, 1797, 2206, 1009, 2960, 7225, 10286, 1060, 21871, 5961, 4969, 1072, 3246, 1, 8979, 1909, 5537, 55, 45, 13046, 15088, 4774, 1909, 1039, 1016, 1024, 19145, 18, 1807, 2417, 1009, 1039, 1016, 7498, 1349, 1318, 3509, 1009, 1228, 2023, 24, 2525, 1096, 1044, 2417, 1009, 22952, 1039, 1016, 7498, 1860, 1435, 1422, 6616, 1009, 1646, 19, 27074, 1009, 2129, 1877, 30007, 1096, 1006, 2750, 1712, 3023, 4485, 1049, 4317, 1100, 9095, 1114, 3349, 1009, 2924, 3023, 4485, 1159, 3279, 1082, 5375, 1107, 1067, 1362, 1056, 1847, 4863, 1048, 1006, 1712, 3023, 1049, 4317, 1100, 1006, 3279, 1082, 5375, 1107, 1207, 1640, 3085, 1018, 3258, 2801, 1106, 1947, 1029, 2255, 1043, 1782, 6616, 1009, 1646, 19 ]

[ 1357, 1224, 5267, 1006, 2822, 1009, 17097, 1930, 24796, 5294, 1026, 5449, 2464, 8318, 3050, 1377, 6062, 1096, 1044, 3563, 31556, 11606, 1072, 7677, 6327, 1207, 1899, 1202, 24336, 21310, 3836, 25615, 3530, 12732, 7017, 21268, 22577, 8249, 1068, 5766, 1236, 1656, 3398, 10184, 1009, 1057, 1491, 3131, 5967, 11896, 1271, 14671, 6268, 5817, 1072, 18033, 8641, 6633, 10662, 1006, 4744, 1288, 9701, 1445, 14402, 10876, 4196, 1654, 1160, 4713, 12002, 1124, 8272, 21933, 29309, 1016, 2309, 5726, 1060, 3597, 3944, 1127, 27447, 2172, 1219, 1339, 2923, 1006, 3597, 9482, 1005, 17748, 1136, 2339, 1309, 1915, 2923, 18, 2739, 6236, 1006, 6250, 1068, 5224, 1463, 2688, 1160, 13589, 6313, 1288, 1124, 6264, 1060, 25843, 20, 10640, 24501, 1018, 1159, 1561, 65, 2708, 67, 1005, 8114, 1601, 26514, 5219, 1026, 8299, 1009, 1128, 10376, 1699, 4817, 2443, 6906, 2978, 27, 21, 3531, 20155, 1006, 5154, 1187, 2138, 20160, 4013, 3084, 6436, 3267, 5430, 5754, 1026, 2550, 20966, 13651, 4290, 1195, 1184, 9101, 32, 20620, 1009, 1044, 2956, 5348, 1105, 2075, 3298, 1009, 3480, 14654, 2280, 3259, 1118, 1094, 3161, 4612, 1048, 8983, 3987, 5467, 10934, 6062, 2956, 1160, 14301, 11415, 3732, 1009, 11415, 2823, 1485, 10433, 1063, 7288, 1777, 3987, 5267, 1005, 1006, 1224, 1634, 1105, 11314, 18269, 1046, 1026, 18464, 1045, 1876, 1005, 1006, 12207, 20, 3367, 8161, 1184, 4417, 1114, 3836, 14355, 1096, 2837, 11415, 3732, 8639, 2691, 1569, 8406, 1005, 9673, 1009, 2225, 1024, 1006, 17377, 5967, 11896, 1068, 2247, 1187, 9200, 3919, 3365, 1480, 1005, 18998, 65, 3459, 13916, 1063, 5681, 2952, 1005, 3568, 4274, 1040, 1357, 9822, 1009, 1235, 14946, 16975, 7261, 3707, 1005, 1160, 1271, 9331, 1124, 2688, 3919, 2300, 1046, 1132, 9191, 1068, 31807, 1989, 6490, 6819, 5903, 8342, 9831, 7155, 4922, 2016, 1403, 27050, 1128, 10376, 1699, 4817, 2443, 6906, 11774, 3692, 1257, 625, 132, 4230, 16529, 1048, 1006, 14418, 1325, 14051, 1213, 3090, 6003, 3498, 15478, 1599, 1309, 1096, 4230, 1318, 3291, 12975, 1006, 4281, 1060, 3597, 5967, 11896, 1495, 1592, 1294, 6453, 1571, 1006, 10092, 5787, 1006, 12345, 1005, 26118, 5629, 19919, 31613, 10230, 26514, 1206, 16279, 21185, 5263, 6422, 18, 1124, 6535, 22266, 6997, 2013, 4230, 7508, 1124, 14387, 1009, 28487, 1990, 1294, 3825, 1054, 18, 3090, 1141, 2158, 2816, 2170, 1495, 9027, 1294, 1048, 1826, 11464, 1054, 1044, 2568, 1009, 1681, 2582, 6810, 20, 1655, 0, 67, 1063, 3836, 14355, 0, 1325, 15942, 1365, 1132, 3825, 1048, 1826, 16567, 1357, 30677, 12207, 1005, 5337, 27966, 1342, 1005, 7302, 2380, 1009, 10068, 3568, 1096, 17010, 1018, 1009, 23300, 1124, 6298, 1365, 9200, 1048, 1058, 9751, 23956, 8134, 1679, 1734, 2170, 1118, 2143, 6079, 1132, 3825, 7302, 2380, 5098, 1058, 10789, 1379, 1005, 7734, 1026, 1235, 5086, 8508, 2494, 3836, 25615, 1992, 1159, 1114, 5253, 9263, 13918, 3382, 1026, 3189, 1060, 22321, 6110, 5291, 5009, 8194, 13886, 150, 1160, 1187, 7328, 8124, 1206, 1060, 10642, 1060, 21301, 1309, 1049, 8542, 1049, 2380, 2055, 3617, 8226, 3367, 3836, 14355, 3135, 1057, 1491, 1266, 1456, 18148, 22266, 1391, 1213, 25220, 11415, 3732, 9673, 18049, 1118, 2191, 1060, 17428, 6717, 77, 7142, 9191, 1068, 1026, 17097, 1303, 1271, 14671, 6268, 5817, 1072, 2380, 2055, 3617, 1063, 9081, 1160, 2177, 2033, 1236, 10951, 1357, 16181, 1411, 1309, 2309, 12330, 2216, 16975, 10940, 7274, 1009, 19875, 3343, 1365, 13054, 4807, 1463, 6298, 1365, 1026, 2956, 1005, 1132, 9471, 23087, 1257, 6201, 1989, 20928, 1006, 30245, 1620, 5759, 2122, 31989, 1172, 1899, 1202, 2672, 1009, 6222, 31285, 1029, 1726, 9331, 20440, 1048, 3050, 1046, 2220, 1026, 5449, 12519, 9308, 2656, 9669, 1526, 1058, 1329, 7773, 19548, 1312, 8272, 20057, 18, 17071, 1273, 4245, 3589, 27617, 6903, 3589, 10349, 26763, 1365, 1734, 4666, 3041, 1009, 11522, 3774, 1961, 1096, 3654, 12746, 1026, 2743, 30505, 1357, 1429, 1164, 2847, 5967, 11896, 1068, 1006, 10700, 1009, 13054, 2271, 1006, 28836, 1233, 6962, 1095, 14077, 3367, 30245, 5759, 1557, 1009, 1057, 1491, 3131, 18, 1309, 3135, 1009, 2143, 31814, 32, 1026, 6782, 20, 15576, 4783, 29721, 1005, 2392, 1140, 1288, 1026, 17794, 1060, 16149, 3936, 1085, 1227, 2485, 14094, 1371, 1044, 2803, 1009, 1445, 1051, 4372, 20, 1063, 2323, 5473, 4922, 10245, 1096, 2481, 1048, 1026, 6745, 1075, 1876, 2499, 1420, 1159, 3484, 12908, 1068, 17971, 1989, 6490, 2952, 1005, 5098, 18154, 1072, 1557, 15057, 8830, 37, 1063, 3484, 3449, 18, 10204, 1028, 1375, 2216, 1377, 675, 0, 11259, 47, 3776, 27474, 32, 1082, 3640, 10014, 2818, 26129, 2606, 2393, 8562, 13076, 1073, 139, 57, 3936, 9753, 27469, 11756, 3367, 30245, 1096, 1026, 2803, 1009, 1057, 1491, 3131, 1271, 14671, 6268, 5817, 1114, 3836, 6468, 5949, 1063, 4783, 8394, 29045, 1587, 5997, 1371, 1726, 5376, 20057, 18, 10349, 27617, 6903, 3589, 22090, 1005, 3065, 12036, 1124, 2688, 8897, 7005, 3606, 18674, 1009, 10700, 1365, 1132, 2625, 11872, 1048, 3050, 1046, 1026, 18033, 8641, 6633, 10662, 1096, 4230, 1048, 1124, 5376, 22266, 1392, 22497, 1202, 3994, 1043, 1026, 6782, 1006, 2822, 1009, 1058, 15999, 1026, 8407, 2039, 2774, 4666, 3041, 1009, 11522, 11444, 16271, 16149, 3936, 1085, 1227, 3843, 3705, 1048, 1096, 1006, 16149, 3936, 1085, 13602, 37, 1063, 4978, 13602, 4713, 10881, 1456, 7963, 10349, 7769, 1005, 18998, 37, 1084, 1026, 6782, 37, 2800, 2122, 4783, 1058, 29642, 1072, 15476, 3041, 6191, 37, 11595, 1634, 1165, 1394, 1327, 9012, 1068, 1058, 12746, 1026, 20874, 1049, 6782, 12716, 1094, 8228, 1046, 16820, 6473, 1072, 3009, 5678, 17264, 3367, 16149, 3936, 1085, 13602, 1160, 1298, 1178, 24776, 1159, 1026, 3867, 12294, 6191, 1060, 3963, 3843, 9831, 7155, 4922, 2016, 1006, 14069, 29671, 9124, 1096, 5844, 14077, 1063, 4978, 13602, 1160, 31159, 1456, 7963, 10349, 4245, 3368, 7769, 1005, 26763, 21815, 19932, 1058, 19159, 1159, 2803, 1060, 6365, 20, 1138, 1235, 2743, 1325, 31852, 3723, 1054, 2252, 1124, 15005, 14559, 5048, 2013, 4417, 10741, 15290, 1026, 2822, 1060, 19359, 2485, 3702, 7938, 1159, 25992, 14311, 1205, 3624, 8878, 10340, 1082, 19012, 1018, 22746, 23493, 7501, 3926, 1365, 9734, 1566, 5903, 1412, 1989, 10221, 20, 1257, 5182, 4921, 3249, 5035, 1048, 1006, 10677, 1149, 1271, 10027, 7548, 1580, 1357, 4978, 13602, 1160, 2167, 1324, 1072, 3009, 5678, 5529, 2837, 1006, 5681, 8606, 4626, 3567, 2034, 5376, 1048, 3050, 1046, 2220, 1026, 5449, 22800, 31267, 1648, 1006, 4716, 1009, 1094, 8228, 1046, 16820, 6473, 65, 3531, 13916, 1063, 30245, 3135, 2080, 3144, 1063, 6250, 3987, 4783, 8830, 29721, 1760, 1126, 8536, 1049, 6782, 1048, 4360, 3787, 1989, 1848, 1005, 3505, 18, 1006, 1991, 1122, 177, 1149, 31285, 1029, 3486, 1060, 16149, 3936, 1085, 13602, 1048, 2755, 1463, 4558, 23548, 19644, 1016, 1005, 11655, 12897, 1049, 12533, 14093, 3367, 23359, 3960, 3041, 1298, 1178, 10865, 1463, 2880, 1009, 11219, 2495, 3210, 2534, 6906, 2322, 28, 3692, 1257, 625, 65, 0, 67, 1063, 6110, 3752, 1085, 13602, 6071, 1118, 3005, 1159, 4241, 15950, 1672, 1006, 7799, 1060, 3944, 2485, 1006, 9473, 1060, 4716, 1009, 13207, 1009, 1094, 2924, 4123, 1009, 5108, 1006, 9473, 1049, 2822, 1271, 21857, 1242, 1060, 2042, 1005, 1060, 10609, 1271, 3056, 2093, 1056, 1024, 1485, 10028, 10729, 1157, 3398, 25197, 1048, 4444, 9673, 1009, 1848, 2247, 1187, 1172, 4142, 16046, 6189, 1166, 1356, 9568, 1060, 3944, 3843, 4116, 1592, 4248, 1159, 4025, 29822, 1006, 6110, 3752, 1085, 13602, 1096, 4635, 4852, 1009, 1044, 2568, 1009, 22908, 1048, 1826, 10936, 1240, 1248, 1016, 1054, 1094, 1807, 13010, 22411, 1048, 11320, 1007, 5604, 23478, 3036, 28550, 1250, 6189, 3983, 8226, 3367, 2323, 5473, 4922, 10245, 15907, 10698, 1006, 16149, 3936, 1085, 13602, 1159, 2497, 6191, 1624, 10231, 20, 1766, 23452, 10349, 23109, 6903, 3368, 4245, 3368, 17071, 1229, 20057, 18, 3065, 3214, 3368, 1365, 9734, 1058, 9751, 1957, 23890, 1452, 1005, 4370, 1554, 2034, 9605, 2532, 3151, 4525, 6776, 1273, 1160, 13589, 5174, 1930, 1009, 3756, 16175, 5336, 1124, 16949, 7274, 1072, 3591, 7043, 1766, 16114, 14034, 13728, 1009, 4207, 23989, 4992, 18, 28418, 6493, 1005, 16064, 1046, 1235, 2269, 2730, 1784, 5447, 1356, 7276, 10682, 5336, 1271, 4842, 10292, 1240, 1088, 2445, 1005, 1006, 1009, 2484, 1060, 27689, 1027, 27327, 3903, 65, 3413, 13916, 3705, 6782, 1114, 16149, 3936, 1085, 13602, 13879, 1159, 3722, 1114, 1428, 1445, 23830, 1006, 7945, 3980, 2275, 5841, 3808, 4783, 29721, 11909, 170, 1324, 4666, 20459, 1006, 3836, 14355, 1005, 1757, 18148, 24203, 1233, 3168, 7863, 6202, 21209, 1187, 8113, 1124, 2688, 3135, 3729, 1930, 4807, 1322, 1026, 1681, 2582, 6810, 1005, 1006, 4581, 1009, 11415, 3732, 1184, 16358, 1480, 1005, 2067, 16230, 1206, 4473, 8639, 1118, 4384, 1005, 1118, 13054, 1213, 1592, 8410, 1505, 1989, 20928, 1026, 6782, 1445, 23830, 1006, 30245, 1114, 4375, 1054, 1048, 1224, 6973, 1009, 1057, 1491, 3131, 16695, 1236, 1072, 1557, 1058, 6293, 6890, 2154, 6508, 1140, 1187, 9200, 1198, 1440, 3259, 1357, 27689, 1027, 27327, 3903, 65, 3876, 13916, 3705, 3344, 2784, 2392, 1069, 1288, 1026, 17794, 1060, 5027, 65, 3851, 67, 1005, 1060, 5218, 1183, 20821, 1145, 65, 3989, 7113, 1298, 7005, 4272, 1005, 7904, 1006, 23936, 10700, 8606, 1114, 3836, 14355, 37, 1603, 1006, 3484, 1234, 17934, 1357, 25336, 1060, 19359, 2485, 1006, 1429, 1164, 2847, 5967, 11896, 1072, 18033, 16185, 4291, 1178, 1184, 22742, 20365, 1063, 8205, 1255, 3029, 1206, 28509, 2319, 1322, 1006, 3581, 1512, 3247, 1272, 1271, 5376, 29049, 3866, 1580, 1054, 2220, 1026, 5449, 22800, 7725, 1145, 2073, 7898, 1009, 17097, 1303, 6819, 1072, 16185, 1566, 29045, 4666, 28985, 1667, 3705, 3344, 2784, 1288, 1026, 17794, 1060, 4272, 1114, 19359, 2485, 10920, 2928, 30267, 2094, 1206, 4473, 1094, 22190, 1009, 2785, 11549, 1124, 14671, 6268, 5817, 5219, 1456, 3194, 2223, 2228, 3240, 3249, 5035, 1006, 3597, 1169, 7382, 1236, 6762, 1765, 16618, 15, 1060, 27689, 1027, 27327, 1032, 3424, 5153, 11219, 2495, 3210, 2534, 6906, 17074, 21, 10701, 1349, 2122, 1096, 7969, 1049, 7118, 1063, 6097, 2094, 1026, 8373, 3085, 1100, 1006, 5933, 18, 1006, 4422, 1005, 1026, 9993, 1650, 7651, 17584, 1463, 2688, 7771, 83, 1322, 1026, 1784, 1060, 18288, 5787, 1060, 1991, 1122, 177, 2485, 1060, 1558, 3003, 22460, 3367, 22190, 1060, 27689, 1027, 27327, 3903, 8774, 1937, 1026, 1784, 1068, 4513, 21809, 11916, 9249, 1726, 6106, 20440, 5219, 1456, 3194, 2223, 12416, 1777, 18, 10488, 2610, 3087, 1005, 4961, 1327, 1132, 28381, 2635, 1041, 4486, 1060, 4978, 13602, 1048, 11113, 2644, 1006, 4173, 1009, 6535, 1124, 2688, 15829, 1068, 3312, 3493, 4272, 1726, 1028, 1375, 2216, 1016, 14671, 6268, 5817, 65, 4059, 13916, 1766, 8512, 5856, 6535, 13136, 1288, 1132, 5169, 1009, 19236, 3980, 1411, 9993, 5657, 4906, 7814, 1303, 6903, 2274, 6644, 3191, 162, 10393, 30637, 2263, 1185, 30617, 1365, 9734, 2277, 1124, 2880, 1009, 11219, 2495, 3210, 2534, 6906, 13954, 1565, 1257, 3026, 1026, 29184, 1060, 4272, 3572, 5035, 1356, 2939, 1304, 1060, 21947, 1068, 6825, 1026, 11618, 1491, 1036, 1009, 13054, 1006, 27689, 1027, 27327, 3903, 6744, 1371, 1118, 2191, 1060, 3597, 20035, 19236, 1485, 23814, 1006, 1428, 2283, 5892, 1132, 8654, 1160, 1657, 1009, 4422, 1049, 17353, 1049, 1557, 4519, 31856, 1349, 1060, 16181, 1411, 1060, 22389, 1049, 5762, 9226, 1309, 1009, 1159, 25298, 15, 92, 2148, 20, 3705, 6782, 19427, 1288, 1026, 17794, 1060, 27689, 1027, 27327, 23495, 1060, 12416, 1777, 18, 1757, 31209, 6293, 1859, 26029, 1016, 1124, 14671, 14047, 1273, 1054, 2089, 9783, 1058, 17188, 1114, 1614, 1389, 4201, 1060, 30245, 1479, 7302, 7928, 1096, 1057, 1491, 1266, 1006, 5681, 1356, 7970, 1060, 5267, 20, 15121, 1784, 19427, 1118, 1688, 6481, 1026, 6782, 1058, 6293, 26705, 12571, 14370, 1603, 2122, 3808, 4783, 29721, 1058, 6293, 3722, 1445, 23830, 6750, 1060, 30245, 3901, 1048, 4292, 1006, 4716, 1049, 7228, 13613, 1692, 1365, 5391, 1005, 18288, 5787, 16142, 4641, 1005, 1558, 3003, 20, 16153, 2880, 1009, 11219, 2495, 3210, 2534, 6906, 11923, 23683, 7224, 13706, 1040, 1989, 6490, 1009, 19548, 1140, 3627, 2484, 1005, 1969, 2484, 1187, 9471, 6826, 5645, 11522, 1060, 4978, 13602, 1068, 2143, 3041, 6191, 1072, 1428, 5090, 1006, 22228, 1224, 1429, 1164, 2847, 32, 1257, 625, 39, 4272, 1096, 4564, 1006, 6723, 1060, 20672, 2485, 21563, 1068, 1124, 4320, 13672, 1060, 21301, 1060, 18679, 1049, 5762, 9226, 1049, 3291, 22643, 7088, 3777, 1130, 1026, 1784, 1096, 4122, 169, 3433, 3552, 4272, 1048, 1884, 1191, 1679, 4101, 1049, 6506, 3944, 1667, 2656, 1058, 1744, 2507, 1754, 5615, 1187, 18752, 7962, 1065, 2075, 4570, 1726, 3469, 6266, 1623, 5154, 1206, 1118, 3219, 1349, 1309, 7556, 1124, 3469, 1356, 1235, 3266, 23778, 10789, 1435, 1026, 1784, 3552, 25480, 10423, 1009, 9200, 23087, 1482, 12563, 1126, 1006, 4272, 1096, 1006, 25744, 1271, 3469, 1726, 5853, 8177, 3963 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1357, 1224, 5267, 1006, 2822, 1009, 17097, 1930, 24796, 5294, 1026, 5449, 2464, 8318, 3050, 1377, 6062, 1096, 1044, 3563, 31556, 11606, 1072, 7677, 6327, 1207, 1899, 1202, 24336, 21310, 3836, 25615, 3530, 12732, 7017, 21268, 22577, 8249, 1068, 5766, 1236, 1656, 3398, 10184, 1009, 1057, 1491, 3131, 5967, 11896, 1271, 14671, 6268, 5817, 1072, 18033, 8641, 6633, 10662, 1006, 4744, 1288, 9701, 1445, 14402, 10876, 4196, 1654, 1160, 4713, 12002, 1124, 8272, 21933, 29309, 1016, 2309, 5726, 1060, 3597, 3944, 1127, 27447, 2172, 1219, 1339, 2923, 1006, 3597, 9482, 1005, 17748, 1136, 2339, 1309, 1915, 2923, 18, 2739, 6236, 1006, 6250, 1068, 5224, 1463, 2688, 1160, 13589, 6313, 1288, 1124, 6264, 1060, 25843, 20, 10640, 24501, 1018, 1159, 1561, 65, 2708, 67, 1005, 8114, 1601, 26514, 5219, 1026, 8299, 1009, 1128, 10376, 1699, 4817, 2443, 6906, 2978, 27, 21, 3531, 20155, 1006, 5154, 1187, 2138, 20160, 4013, 3084, 6436, 3267, 5430, 5754, 1026, 2550, 20966, 13651, 4290, 1195, 1184, 9101, 32, 20620, 1009, 1044, 2956, 5348, 1105, 2075, 3298, 1009, 3480, 14654, 2280, 3259, 1118, 1094, 3161, 4612, 1048, 8983, 3987, 5467, 10934, 6062, 2956, 1160, 14301, 11415, 3732, 1009, 11415, 2823, 1485, 10433, 1063, 7288, 1777, 3987, 5267, 1005, 1006, 1224, 1634, 1105, 11314, 18269, 1046, 1026, 18464, 1045, 1876, 1005, 1006, 12207, 20, 3367, 8161, 1184, 4417, 1114, 3836, 14355, 1096, 2837, 11415, 3732, 8639, 2691, 1569, 8406, 1005, 9673, 1009, 2225, 1024, 1006, 17377, 5967, 11896, 1068, 2247, 1187, 9200, 3919, 3365, 1480, 1005, 18998, 65, 3459, 13916, 1063, 5681, 2952, 1005, 3568, 4274, 1040, 1357, 9822, 1009, 1235, 14946, 16975, 7261, 3707, 1005, 1160, 1271, 9331, 1124, 2688, 3919, 2300, 1046, 1132, 9191, 1068, 31807, 1989, 6490, 6819, 5903, 8342, 9831, 7155, 4922, 2016, 1403, 27050, 1128, 10376, 1699, 4817, 2443, 6906, 11774, 3692, 1257, 625, 132, 4230, 16529, 1048, 1006, 14418, 1325, 14051, 1213, 3090, 6003, 3498, 15478, 1599, 1309, 1096, 4230, 1318, 3291, 12975, 1006, 4281, 1060, 3597, 5967, 11896, 1495, 1592, 1294, 6453, 1571, 1006, 10092, 5787, 1006, 12345, 1005, 26118, 5629, 19919, 31613, 10230, 26514, 1206, 16279, 21185, 5263, 6422, 18, 1124, 6535, 22266, 6997, 2013, 4230, 7508, 1124, 14387, 1009, 28487, 1990, 1294, 3825, 1054, 18, 3090, 1141, 2158, 2816, 2170, 1495, 9027, 1294, 1048, 1826, 11464, 1054, 1044, 2568, 1009, 1681, 2582, 6810, 20, 1655, 0, 67, 1063, 3836, 14355, 0, 1325, 15942, 1365, 1132, 3825, 1048, 1826, 16567, 1357, 30677, 12207, 1005, 5337, 27966, 1342, 1005, 7302, 2380, 1009, 10068, 3568, 1096, 17010, 1018, 1009, 23300, 1124, 6298, 1365, 9200, 1048, 1058, 9751, 23956, 8134, 1679, 1734, 2170, 1118, 2143, 6079, 1132, 3825, 7302, 2380, 5098, 1058, 10789, 1379, 1005, 7734, 1026, 1235, 5086, 8508, 2494, 3836, 25615, 1992, 1159, 1114, 5253, 9263, 13918, 3382, 1026, 3189, 1060, 22321, 6110, 5291, 5009, 8194, 13886, 150, 1160, 1187, 7328, 8124, 1206, 1060, 10642, 1060, 21301, 1309, 1049, 8542, 1049, 2380, 2055, 3617, 8226, 3367, 3836, 14355, 3135, 1057, 1491, 1266, 1456, 18148, 22266, 1391, 1213, 25220, 11415, 3732, 9673, 18049, 1118, 2191, 1060, 17428, 6717, 77, 7142, 9191, 1068, 1026, 17097, 1303, 1271, 14671, 6268, 5817, 1072, 2380, 2055, 3617, 1063, 9081, 1160, 2177, 2033, 1236, 10951, 1357, 16181, 1411, 1309, 2309, 12330, 2216, 16975, 10940, 7274, 1009, 19875, 3343, 1365, 13054, 4807, 1463, 6298, 1365, 1026, 2956, 1005, 1132, 9471, 23087, 1257, 6201, 1989, 20928, 1006, 30245, 1620, 5759, 2122, 31989, 1172, 1899, 1202, 2672, 1009, 6222, 31285, 1029, 1726, 9331, 20440, 1048, 3050, 1046, 2220, 1026, 5449, 12519, 9308, 2656, 9669, 1526, 1058, 1329, 7773, 19548, 1312, 8272, 20057, 18, 17071, 1273, 4245, 3589, 27617, 6903, 3589, 10349, 26763, 1365, 1734, 4666, 3041, 1009, 11522, 3774, 1961, 1096, 3654, 12746, 1026, 2743, 30505, 1357, 1429, 1164, 2847, 5967, 11896, 1068, 1006, 10700, 1009, 13054, 2271, 1006, 28836, 1233, 6962, 1095, 14077, 3367, 30245, 5759, 1557, 1009, 1057, 1491, 3131, 18, 1309, 3135, 1009, 2143, 31814, 32, 1026, 6782, 20, 15576, 4783, 29721, 1005, 2392, 1140, 1288, 1026, 17794, 1060, 16149, 3936, 1085, 1227, 2485, 14094, 1371, 1044, 2803, 1009, 1445, 1051, 4372, 20, 1063, 2323, 5473, 4922, 10245, 1096, 2481, 1048, 1026, 6745, 1075, 1876, 2499, 1420, 1159, 3484, 12908, 1068, 17971, 1989, 6490, 2952, 1005, 5098, 18154, 1072, 1557, 15057, 8830, 37, 1063, 3484, 3449, 18, 10204, 1028, 1375, 2216, 1377, 675, 0, 11259, 47, 3776, 27474, 32, 1082, 3640, 10014, 2818, 26129, 2606, 2393, 8562, 13076, 1073, 139, 57, 3936, 9753, 27469, 11756, 3367, 30245, 1096, 1026, 2803, 1009, 1057, 1491, 3131, 1271, 14671, 6268, 5817, 1114, 3836, 6468, 5949, 1063, 4783, 8394, 29045, 1587, 5997, 1371, 1726, 5376, 20057, 18, 10349, 27617, 6903, 3589, 22090, 1005, 3065, 12036, 1124, 2688, 8897, 7005, 3606, 18674, 1009, 10700, 1365, 1132, 2625, 11872, 1048, 3050, 1046, 1026, 18033, 8641, 6633, 10662, 1096, 4230, 1048, 1124, 5376, 22266, 1392, 22497, 1202, 3994, 1043, 1026, 6782, 1006, 2822, 1009, 1058, 15999, 1026, 8407, 2039, 2774, 4666, 3041, 1009, 11522, 11444, 16271, 16149, 3936, 1085, 1227, 3843, 3705, 1048, 1096, 1006, 16149, 3936, 1085, 13602, 37, 1063, 4978, 13602, 4713, 10881, 1456, 7963, 10349, 7769, 1005, 18998, 37, 1084, 1026, 6782, 37, 2800, 2122, 4783, 1058, 29642, 1072, 15476, 3041, 6191, 37, 11595, 1634, 1165, 1394, 1327, 9012, 1068, 1058, 12746, 1026, 20874, 1049, 6782, 12716, 1094, 8228, 1046, 16820, 6473, 1072, 3009, 5678, 17264, 3367, 16149, 3936, 1085, 13602, 1160, 1298, 1178, 24776, 1159, 1026, 3867, 12294, 6191, 1060, 3963, 3843, 9831, 7155, 4922, 2016, 1006, 14069, 29671, 9124, 1096, 5844, 14077, 1063, 4978, 13602, 1160, 31159, 1456, 7963, 10349, 4245, 3368, 7769, 1005, 26763, 21815, 19932, 1058, 19159, 1159, 2803, 1060, 6365, 20, 1138, 1235, 2743, 1325, 31852, 3723, 1054, 2252, 1124, 15005, 14559, 5048, 2013, 4417, 10741, 15290, 1026, 2822, 1060, 19359, 2485, 3702, 7938, 1159, 25992, 14311, 1205, 3624, 8878, 10340, 1082, 19012, 1018, 22746, 23493, 7501, 3926, 1365, 9734, 1566, 5903, 1412, 1989, 10221, 20, 1257, 5182, 4921, 3249, 5035, 1048, 1006, 10677, 1149, 1271, 10027, 7548, 1580, 1357, 4978, 13602, 1160, 2167, 1324, 1072, 3009, 5678, 5529, 2837, 1006, 5681, 8606, 4626, 3567, 2034, 5376, 1048, 3050, 1046, 2220, 1026, 5449, 22800, 31267, 1648, 1006, 4716, 1009, 1094, 8228, 1046, 16820, 6473, 65, 3531, 13916, 1063, 30245, 3135, 2080, 3144, 1063, 6250, 3987, 4783, 8830, 29721, 1760, 1126, 8536, 1049, 6782, 1048, 4360, 3787, 1989, 1848, 1005, 3505, 18, 1006, 1991, 1122, 177, 1149, 31285, 1029, 3486, 1060, 16149, 3936, 1085, 13602, 1048, 2755, 1463, 4558, 23548, 19644, 1016, 1005, 11655, 12897, 1049, 12533, 14093, 3367, 23359, 3960, 3041, 1298, 1178, 10865, 1463, 2880, 1009, 11219, 2495, 3210, 2534, 6906, 2322, 28, 3692, 1257, 625, 65, 0, 67, 1063, 6110, 3752, 1085, 13602, 6071, 1118, 3005, 1159, 4241, 15950, 1672, 1006, 7799, 1060, 3944, 2485, 1006, 9473, 1060, 4716, 1009, 13207, 1009, 1094, 2924, 4123, 1009, 5108, 1006, 9473, 1049, 2822, 1271, 21857, 1242, 1060, 2042, 1005, 1060, 10609, 1271, 3056, 2093, 1056, 1024, 1485, 10028, 10729, 1157, 3398, 25197, 1048, 4444, 9673, 1009, 1848, 2247, 1187, 1172, 4142, 16046, 6189, 1166, 1356, 9568, 1060, 3944, 3843, 4116, 1592, 4248, 1159, 4025, 29822, 1006, 6110, 3752, 1085, 13602, 1096, 4635, 4852, 1009, 1044, 2568, 1009, 22908, 1048, 1826, 10936, 1240, 1248, 1016, 1054, 1094, 1807, 13010, 22411, 1048, 11320, 1007, 5604, 23478, 3036, 28550, 1250, 6189, 3983, 8226, 3367, 2323, 5473, 4922, 10245, 15907, 10698, 1006, 16149, 3936, 1085, 13602, 1159, 2497, 6191, 1624, 10231, 20, 1766, 23452, 10349, 23109, 6903, 3368, 4245, 3368, 17071, 1229, 20057, 18, 3065, 3214, 3368, 1365, 9734, 1058, 9751, 1957, 23890, 1452, 1005, 4370, 1554, 2034, 9605, 2532, 3151, 4525, 6776, 1273, 1160, 13589, 5174, 1930, 1009, 3756, 16175, 5336, 1124, 16949, 7274, 1072, 3591, 7043, 1766, 16114, 14034, 13728, 1009, 4207, 23989, 4992, 18, 28418, 6493, 1005, 16064, 1046, 1235, 2269, 2730, 1784, 5447, 1356, 7276, 10682, 5336, 1271, 4842, 10292, 1240, 1088, 2445, 1005, 1006, 1009, 2484, 1060, 27689, 1027, 27327, 3903, 65, 3413, 13916, 3705, 6782, 1114, 16149, 3936, 1085, 13602, 13879, 1159, 3722, 1114, 1428, 1445, 23830, 1006, 7945, 3980, 2275, 5841, 3808, 4783, 29721, 11909, 170, 1324, 4666, 20459, 1006, 3836, 14355, 1005, 1757, 18148, 24203, 1233, 3168, 7863, 6202, 21209, 1187, 8113, 1124, 2688, 3135, 3729, 1930, 4807, 1322, 1026, 1681, 2582, 6810, 1005, 1006, 4581, 1009, 11415, 3732, 1184, 16358, 1480, 1005, 2067, 16230, 1206, 4473, 8639, 1118, 4384, 1005, 1118, 13054, 1213, 1592, 8410, 1505, 1989, 20928, 1026, 6782, 1445, 23830, 1006, 30245, 1114, 4375, 1054, 1048, 1224, 6973, 1009, 1057, 1491, 3131, 16695, 1236, 1072, 1557, 1058, 6293, 6890, 2154, 6508, 1140, 1187, 9200, 1198, 1440, 3259, 1357, 27689, 1027, 27327, 3903, 65, 3876, 13916, 3705, 3344, 2784, 2392, 1069, 1288, 1026, 17794, 1060, 5027, 65, 3851, 67, 1005, 1060, 5218, 1183, 20821, 1145, 65, 3989, 7113, 1298, 7005, 4272, 1005, 7904, 1006, 23936, 10700, 8606, 1114, 3836, 14355, 37, 1603, 1006, 3484, 1234, 17934, 1357, 25336, 1060, 19359, 2485, 1006, 1429, 1164, 2847, 5967, 11896, 1072, 18033, 16185, 4291, 1178, 1184, 22742, 20365, 1063, 8205, 1255, 3029, 1206, 28509, 2319, 1322, 1006, 3581, 1512, 3247, 1272, 1271, 5376, 29049, 3866, 1580, 1054, 2220, 1026, 5449, 22800, 7725, 1145, 2073, 7898, 1009, 17097, 1303, 6819, 1072, 16185, 1566, 29045, 4666, 28985, 1667, 3705, 3344, 2784, 1288, 1026, 17794, 1060, 4272, 1114, 19359, 2485, 10920, 2928, 30267, 2094, 1206, 4473, 1094, 22190, 1009, 2785, 11549, 1124, 14671, 6268, 5817, 5219, 1456, 3194, 2223, 2228, 3240, 3249, 5035, 1006, 3597, 1169, 7382, 1236, 6762, 1765, 16618, 15, 1060, 27689, 1027, 27327, 1032, 3424, 5153, 11219, 2495, 3210, 2534, 6906, 17074, 21, 10701, 1349, 2122, 1096, 7969, 1049, 7118, 1063, 6097, 2094, 1026, 8373, 3085, 1100, 1006, 5933, 18, 1006, 4422, 1005, 1026, 9993, 1650, 7651, 17584, 1463, 2688, 7771, 83, 1322, 1026, 1784, 1060, 18288, 5787, 1060, 1991, 1122, 177, 2485, 1060, 1558, 3003, 22460, 3367, 22190, 1060, 27689, 1027, 27327, 3903, 8774, 1937, 1026, 1784, 1068, 4513, 21809, 11916, 9249, 1726, 6106, 20440, 5219, 1456, 3194, 2223, 12416, 1777, 18, 10488, 2610, 3087, 1005, 4961, 1327, 1132, 28381, 2635, 1041, 4486, 1060, 4978, 13602, 1048, 11113, 2644, 1006, 4173, 1009, 6535, 1124, 2688, 15829, 1068, 3312, 3493, 4272, 1726, 1028, 1375, 2216, 1016, 14671, 6268, 5817, 65, 4059, 13916, 1766, 8512, 5856, 6535, 13136, 1288, 1132, 5169, 1009, 19236, 3980, 1411, 9993, 5657, 4906, 7814, 1303, 6903, 2274, 6644, 3191, 162, 10393, 30637, 2263, 1185, 30617, 1365, 9734, 2277, 1124, 2880, 1009, 11219, 2495, 3210, 2534, 6906, 13954, 1565, 1257, 3026, 1026, 29184, 1060, 4272, 3572, 5035, 1356, 2939, 1304, 1060, 21947, 1068, 6825, 1026, 11618, 1491, 1036, 1009, 13054, 1006, 27689, 1027, 27327, 3903, 6744, 1371, 1118, 2191, 1060, 3597, 20035, 19236, 1485, 23814, 1006, 1428, 2283, 5892, 1132, 8654, 1160, 1657, 1009, 4422, 1049, 17353, 1049, 1557, 4519, 31856, 1349, 1060, 16181, 1411, 1060, 22389, 1049, 5762, 9226, 1309, 1009, 1159, 25298, 15, 92, 2148, 20, 3705, 6782, 19427, 1288, 1026, 17794, 1060, 27689, 1027, 27327, 23495, 1060, 12416, 1777, 18, 1757, 31209, 6293, 1859, 26029, 1016, 1124, 14671, 14047, 1273, 1054, 2089, 9783, 1058, 17188, 1114, 1614, 1389, 4201, 1060, 30245, 1479, 7302, 7928, 1096, 1057, 1491, 1266, 1006, 5681, 1356, 7970, 1060, 5267, 20, 15121, 1784, 19427, 1118, 1688, 6481, 1026, 6782, 1058, 6293, 26705, 12571, 14370, 1603, 2122, 3808, 4783, 29721, 1058, 6293, 3722, 1445, 23830, 6750, 1060, 30245, 3901, 1048, 4292, 1006, 4716, 1049, 7228, 13613, 1692, 1365, 5391, 1005, 18288, 5787, 16142, 4641, 1005, 1558, 3003, 20, 16153, 2880, 1009, 11219, 2495, 3210, 2534, 6906, 11923, 23683, 7224, 13706, 1040, 1989, 6490, 1009, 19548, 1140, 3627, 2484, 1005, 1969, 2484, 1187, 9471, 6826, 5645, 11522, 1060, 4978, 13602, 1068, 2143, 3041, 6191, 1072, 1428, 5090, 1006, 22228, 1224, 1429, 1164, 2847, 32, 1257, 625, 39, 4272, 1096, 4564, 1006, 6723, 1060, 20672, 2485, 21563, 1068, 1124, 4320, 13672, 1060, 21301, 1060, 18679, 1049, 5762, 9226, 1049, 3291, 22643, 7088, 3777, 1130, 1026, 1784, 1096, 4122, 169, 3433, 3552, 4272, 1048, 1884, 1191, 1679, 4101, 1049, 6506, 3944, 1667, 2656, 1058, 1744, 2507, 1754, 5615, 1187, 18752, 7962, 1065, 2075, 4570, 1726, 3469, 6266, 1623, 5154, 1206, 1118, 3219, 1349, 1309, 7556, 1124, 3469, 1356, 1235, 3266, 23778, 10789, 1435, 1026, 1784, 3552, 25480, 10423, 1009, 9200, 23087, 1482, 12563, 1126, 1006, 4272, 1096, 1006, 25744, 1271, 3469, 1726, 5853, 8177, 3963 ]

[ 1091, 1037, 1188, 1005, 13706, 2647, 1132, 18454, 2147, 7742, 1118, 13137, 2344, 1005, 3492, 1127, 10667, 1054, 1144, 5659, 14792, 3306, 2145, 5742, 12567, 1160, 8755, 1344, 5279, 1131, 2909, 1745, 2075, 1130, 1456, 11172, 1349, 8073, 6293, 5291, 1620, 1184, 9802, 2669, 1322, 1006, 1224, 7788, 1043, 1264, 14435, 3735, 1687, 1195, 1419, 7158, 27375, 1603, 1041, 9302, 91, 1049, 11621, 2096, 1930, 1687, 11435, 1044, 22124, 16332, 1048, 1344, 5279, 1131, 9239, 1043, 1044, 2931, 1165, 1243, 15062, 1054, 2464, 1118, 2167, 1474, 18, 1178, 23045, 1054, 1044, 4568, 93, 1396, 2446, 4899, 1344, 153, 12763, 1527, 27425, 1043, 1094, 1953, 1065, 9549, 5024, 3445, 1118, 2043, 2461, 1096, 1026, 3311, 1009, 3791, 1337, 1005, 3472, 27544, 1068, 1752, 20496, 1113, 1257, 1344, 5279, 1131, 1096, 12717, 1009, 9850, 1049, 1144, 5659, 14792, 1005, 1094, 1271, 2125, 1603, 1041, 9302, 3022, 1687, 1225, 2653, 5617, 12192, 1144, 5659, 14792, 1847, 1044, 21088, 3720, 1225, 1094, 1807, 7528, 1009, 5350, 14372, 1009, 1181, 175, 2898, 2079, 214, 83, 1252, 17242, 23102, 1005, 7464, 1009, 2203, 15639, 1679, 1456, 13997, 5224, 1048, 13326, 1132, 5350, 1087, 1229, 1072, 2268, 16061, 1006, 11186, 1058, 5700, 1344, 153, 12763, 76, 10793, 3720, 2845, 1006, 6537, 1094, 9304, 1118, 1144, 5659, 14792, 10130, 153, 12763, 1527, 15, 1846, 1009, 1178, 17808, 1060, 13137, 2344, 10130, 153, 12763, 1527, 15, 1072, 2738, 1060, 14332, 10635, 1184, 3232, 1288, 1006, 9525, 1688, 1070, 29873, 1009, 1048, 1026, 1144, 5659, 14792, 5469, 24337, 15, 1096, 1235, 12044, 1118, 1261, 1744, 2526, 1233, 1144, 5659, 14792, 10130, 153, 12763, 1527, 15, 2170, 23874, 12502, 1044, 3360, 10233, 1061, 1006, 9475, 1094, 4087, 1160, 9121, 1986, 1044, 1169, 1091, 3981, 1054, 1094, 4087, 1493, 4890, 2509, 1136, 2339, 1006, 5510, 1006, 6141, 32, 1144, 5659, 14792, 1096, 1080, 1458, 1076, 1072, 1144, 5659, 14792, 7926, 20, 4634, 6849, 1687, 1058, 3572, 1126, 6568, 13990, 1261, 2637, 1006, 1419, 1043, 1124, 23016, 1271, 13420, 1344, 153, 12763, 76, 1248, 1005, 1298, 2593, 8293, 12311, 1144, 5659, 1189, 8668, 2013, 6736, 22544, 1054, 16044, 9450, 1273, 1511, 13420, 1344, 153, 12763, 76, 1248, 18608, 83, 24879, 1006, 16550, 4501, 14282, 2073, 19230, 1239, 2072, 3437, 6567, 1271, 1344, 153, 12763, 76, 7174, 1687, 3191, 7594, 1006, 20055, 14416, 1005, 1094, 1106, 1281, 90, 1076, 26387, 56, 1717, 1124, 1344, 153, 12763, 76, 1248, 4899, 1005, 8215, 1802, 2013, 1318, 1006, 4966, 1048, 1687, 4337, 1048, 1160, 1837, 2156, 1144, 5659, 1189, 3662, 1309, 1048, 10857, 1009, 4796, 3242, 1219, 1165, 1689, 3705, 3129, 1187, 2931, 1165, 5425, 1096, 3587, 1068, 3371, 5224, 23530, 1068, 1058, 4531, 1344, 2961, 1248, 1054, 12746, 1124, 6264, 1005, 13832, 1009, 6942, 1344, 153, 83, 1364, 20, 5126, 4359, 1040, 1006, 1871, 1009, 1050, 1513, 73, 6084, 18725, 20194, 1009, 1181, 175, 2898, 1048, 1327, 11667, 1118, 9507, 1456, 18284, 2972, 16298, 1068, 28776, 12010, 4313, 2643, 2281, 9509, 1294, 17495, 1159, 3027, 18601, 9839, 1679, 9310, 1060, 1834, 2733, 2358, 3052, 1009, 22667, 1048, 1118, 1224, 1472, 1381, 1124, 18601, 1068, 1857, 1072, 18194, 1113, 1257, 2376, 2341, 20541, 32, 7144, 23648, 28664, 1154, 5, 24623, 1165, 1243, 1068, 1144, 5659, 14792, 1288, 1006, 1871, 1009, 1044, 18151, 1013, 1048, 5471, 1044, 1030, 4382, 19, 1078, 1137, 20, 2200, 7464, 1009, 9035, 1067, 1270, 5279, 3498, 1056, 1113, 1257, 2376, 2341, 20541, 32, 1941, 3755, 7194, 11078, 1154, 5, 24623, 1165, 1243, 1068, 13137, 2344, 1288, 1006, 1871, 1009, 1044, 1023, 1729, 1244, 6302, 1163, 2770, 1009, 9035, 5283, 1600, 24308, 1364, 6785, 2482, 1113, 1257, 2376, 2341, 20541, 32, 1144, 1685, 1082, 1127, 3755, 9442, 24623, 1165, 1243, 1068, 3492, 1127, 10667, 1114, 1871, 1009, 1044, 16173, 14210, 1043, 30485, 2871, 1005, 1092, 156, 3983, 1163, 2770, 1009, 9035, 4933, 1375, 2144, 1113, 1257, 2376, 2341, 20541, 32, 16706, 23648, 1776, 1164, 5, 24623, 1165, 1243, 1068, 13184, 5742, 1114, 9097, 1009, 1044, 15405, 5989, 1075, 2270, 2200, 5879, 1043, 1094, 4005, 9948, 20, 2200, 7464, 1009, 9035, 7958, 29376, 1048, 1998, 1327, 6042, 1402, 1054, 18351, 5852, 1113, 1257, 2376, 2341, 20541, 32, 18381, 14806, 1228, 9336, 1036, 9442, 1138, 1184, 5485, 1187, 24623, 1165, 12111, 2200, 1225, 1006, 2921, 1871, 1048, 1044, 4575, 1048, 1006, 1344, 5279, 1131, 2257, 5029, 3350, 11449, 1043, 1094, 4005, 7155, 1233, 1009, 1044, 21650, 95, 229, 14758, 1348, 1048, 10752, 2835, 2238, 19, 1220, 1248, 1068, 8186, 1009, 2403, 5989, 9596, 1344, 5279, 1131, 12974, 1118, 24849, 1667, 1776, 6449, 2475, 1049, 2764, 1324, 1264, 10920, 1026, 7065, 1118, 6529, 1271, 16359, 1344, 153, 12763, 1527, 1113, 1257, 3126, 1026, 24623, 1165, 1243, 1068, 11078, 23648, 26921, 1104, 12706, 1377, 2200, 1058, 6192, 1068, 1094, 5350, 6464, 8937, 2271, 1048, 1687, 12563, 1379, 20, 1344, 5279, 1131, 7217, 2143, 14434, 19, 1330, 19, 10846, 14306, 1162, 7770, 1046, 1093, 1006, 1082, 3298, 79, 1344, 3789, 27391, 1052, 22974, 78, 1459, 1344, 153, 12763, 76, 1248, 3705, 1344, 153, 12763, 76, 1248, 11666, 1327, 1044, 2417, 1009, 1344, 153, 12763, 76, 1248, 1048, 15022, 1124, 13463, 1009, 1344, 5279, 1131, 20, 9049, 16603, 16190, 1596, 25035, 1009, 5958, 1018, 1009, 1224, 4005, 20, 1071, 1817, 2764, 1324, 1857, 10979, 1456, 2931, 1165, 1689, 1890, 1026, 7927, 7158, 1603, 1041, 9302, 91, 1308, 1257, 2376, 2341, 20541, 32, 1344, 1685, 1228, 5922, 5, 23645, 4568, 93, 1396, 27425, 1043, 1094, 1953, 1093, 1024, 1122, 3556, 1113, 1257, 2376, 2341, 20541, 32, 1084, 1092, 22488, 10972, 5, 23645, 4568, 93, 1396, 27425, 1043, 1044, 1718, 1013, 1113, 1257, 2376, 2341, 20541, 32, 1344, 1252, 21877, 24970, 1956, 71, 6145, 1059, 23645, 1163, 1835, 75, 12789, 27425, 1043, 1094, 2093, 1615, 78, 3013, 31796, 1371, 1043, 25705, 9721, 1113, 1257, 2376, 2341, 20541, 32, 7099, 9968, 2819, 6719, 6145, 1059, 28230, 1529, 1014, 27189, 3720, 2945, 1609, 1043, 1026, 4711, 1068, 23015, 1010, 1009, 3894, 1717, 1456, 15078, 28141, 1257, 1257, 2376, 2341, 20541, 32, 1941, 31532, 78, 4719, 6760, 6145, 78, 1052, 1059, 2346, 158, 1665, 1009, 1144, 5659, 1189, 3022, 1096, 2670, 1049, 5962, 1009, 1080, 4396, 214, 2402, 1110, 3705, 1942, 1348, 3599, 1005, 85, 25886, 3857, 1009, 9756, 1049, 4346, 1009, 22840, 20, 2200, 1298, 6534, 1094, 5095, 1006, 1094, 6187, 1009, 1184, 1009, 9377, 2718, 2975, 1309, 1006, 2759, 1160, 1096, 2072, 3838, 2246, 15042, 9035, 18194, 8486, 16499, 1459, 1049, 1048, 3659, 3798, 19748, 2200, 1318, 1096, 4798, 1049, 4346, 1009, 8274, 1106, 4396, 214, 2402, 1113, 1257, 2376, 2341, 20541, 32, 3492, 1586, 79, 13184, 13909, 1691, 1545, 1049, 5259, 1009, 7436, 1060, 24825, 1796, 1477, 1009, 9850, 1009, 13137, 2344, 1113, 1257, 1163, 1835, 75, 12789, 5705, 1171, 1344, 153, 12763, 1527, 18, 1687, 1195, 19370, 1006, 3659, 1009, 10201, 1054, 3492, 1127, 3755, 3022, 1309, 1144, 5659, 14792, 1005, 13137, 2344, 2500, 19693, 1687, 1113, 1257, 13173, 28230, 1529, 1014, 4899, 1344, 153, 12763, 1527, 1006, 1428, 3533, 10006, 3492, 1127, 10667, 2124, 3720, 1195, 20006, 1006, 17957, 1114, 4281, 1009, 3492, 1127, 10667, 1118, 1094, 14954, 1344, 153, 12763, 1527, 1048, 6368, 1005, 24031, 1113, 1257, 16576, 152, 1184, 11454, 1009, 1123, 2145, 1377, 3720, 3765, 1044, 1080, 2578, 1066, 2079, 214, 83, 1252, 17242, 13176, 1672, 1006, 1123, 2145, 1126, 8220, 1118, 1344, 5279, 1131, 20, 1071, 1817, 2764, 1324, 1123, 11126, 6706, 1235, 2079, 214, 83, 1252, 17242, 23102, 1119, 6694, 1890, 1026, 7927, 7158, 1603, 1041, 9302, 91, 2548, 12548, 21523, 1348, 1009, 2079, 214, 83, 1252, 17242, 13176, 1102, 5, 3316, 14027, 1344, 2961, 1527, 18, 1096, 1044, 12168, 1060, 11121, 11529, 1123, 1956, 1707, 93, 1377, 1144, 5659, 14792, 1005, 13137, 2344, 24584, 1322, 1687, 1511, 1857, 3586, 7187, 1072, 4297, 1191, 7003, 1009, 19543, 2079, 214, 83, 1252, 17242, 13176, 3424, 2494, 7443, 1264, 1096, 1044, 15095, 12255, 1009, 3897, 20, 2200, 6133, 1054, 2034, 1154, 16960, 23186, 1043, 4285, 1016, 18789, 1073, 4565, 1005, 2088, 1734, 5350, 14372, 2079, 214, 83, 1252, 17242, 13176, 3424, 1071, 3885, 1381, 1094, 16318, 1072, 18194, 2548, 50, 1291, 1009, 8525, 26005, 21851, 2310, 1257, 19275, 3626, 8230, 89, 17067, 1009, 29899, 17067, 1009, 18194, 9531, 14402, 1005, 15911, 2215, 1009, 3597, 9531, 14402, 1005, 15911, 2215, 1009, 8907, 9531, 14402, 1005, 15911, 2215, 1009, 7093, 1759, 78, 214, 84, 1051, 9531, 14402, 1009, 4238, 9531, 14402, 1009, 4127, 9531, 14402, 1005, 15911, 2215, 1322, 1624, 77, 19470, 1005, 5429, 17589, 3622, 1, 24557, 11155, 5091, 1088, 1358, 8, 1551, 44, 21824, 13439, 20008, 1009, 3042, 1009, 23440, 1479, 4691, 1056, 2196, 2224, 1009, 3261, 1009, 4579, 15, 1195, 1044, 25193, 8367, 20, 2200, 1195, 25464, 1005, 14613, 1054, 14009, 1356, 11956, 1009, 1456, 18272, 1791, 9372, 1005, 2156, 7668, 1916, 1138, 2535, 1096, 12479, 1118, 1261, 8229, 1026, 3066, 1005, 1124, 7707, 14486, 30258, 1009, 2045, 1796, 2498, 7465, 1207, 2641, 1017, 1879, 11956, 1060, 2531, 1551, 44, 21824, 1257, 6201, 2922, 1271, 1307, 78, 3452, 1498, 1114, 3696, 1009, 2523, 1009, 3113, 1009, 22289, 24557, 1551, 44, 21824, 13439, 3580, 14972, 1495, 1026, 9893, 3490, 1106, 1930, 1054, 1796, 2498, 17149, 11839, 3147, 12367, 2497, 1009, 3047, 11601, 1005, 8583, 21105, 89, 1225, 1048, 1323, 3371, 7, 14458, 1048, 2348, 4809, 1005, 2092, 3372, 1596, 21346, 1166, 7, 2100, 1551, 44, 21824, 1005, 1044, 4674, 2417, 1009, 1783, 1596, 2276, 1068, 1026, 2285, 2475, 24, 1060, 31573, 4429, 13196, 1324, 5062, 1160, 1493, 6794, 1049, 1080, 1930, 1005, 4745, 6422, 1048, 1132, 4090, 1009, 1551, 44, 21824, 1596, 3711, 4498, 1554, 2858, 16515, 1049, 12069, 13098, 1941, 1018, 5146, 18, 2521, 1094, 8262, 1009, 13207, 1068, 1006, 6935, 1049, 8210, 1009, 1982, 2958, 1078, 4041, 1048, 2521, 3902, 1114, 2573, 1005, 8999, 1048, 4234, 3948, 13284, 2531, 1596, 9778, 1054, 1569, 1457, 1016, 3772, 3102, 1132, 7872, 1118, 2922, 1271, 1307, 78, 3452, 1498, 1060, 16451, 24557, 1551, 44, 21824, 7266, 1393, 1043, 1094, 4005, 6909, 4049, 1660, 1006, 1224, 10465, 1025, 1660, 1006, 1224, 2531, 27547, 1495, 1048, 4064, 1026, 1531, 1054, 1048, 1566, 1160, 20608, 1184, 16737, 2122, 4005, 3010, 158, 1820, 1126, 1264, 2521, 1026, 1048, 1026, 6506, 3360, 3684, 2120, 1034, 6603, 10017, 2829, 1026, 24557, 1551, 27030, 1100, 12085, 2864, 24899, 1551, 27030, 1100, 12336, 2864, 1005, 2848, 1009, 1456, 5089, 32, 5113, 3476, 18, 1578, 1646, 33, 6014, 1020, 3529, 2523, 1646, 33, 5714, 18, 2224, 1646, 1005, 3753, 4285, 1208, 13484, 1844, 4844, 7027, 5588, 2281, 21346, 1166, 1043, 1044, 29311, 1108, 2550, 1570, 2737, 1307, 4994, 73, 28721, 8279, 25, 2400, 2916, 1009, 2125, 3229, 1060, 18393, 8152, 10987, 1766, 4090, 1551, 44, 21824, 5588, 2281, 21346, 1166, 2156, 6236, 2097, 1124, 3978, 5588, 2281, 28306, 1043, 1044, 10378, 1657, 20, 1063, 2531, 1551, 44, 21824, 3842, 1393, 1026, 7137, 1028, 0, 2475, 24, 1060, 31573, 31886, 3200, 2271, 1048, 1026, 5554, 1202, 1054, 16538, 5682, 1081, 5004, 1551, 44, 21824, 13439, 1516, 1026, 3419, 1184, 7836, 1060, 10465, 1043, 2276, 3404, 2864, 1005, 1318, 1516, 3201, 1159, 5091, 1088, 1358, 2100, 2200, 1195, 11517, 1068, 1006, 7840, 6579, 2386, 1068, 1224, 3486, 2913, 2762, 1846, 1009, 15214, 1006, 8419, 1114, 5338, 1049, 8241, 1048, 1124, 11832, 5588, 2281, 9309, 1118, 1094, 2716, 2069, 15298, 1006, 1044, 2792, 3509, 9573, 7339, 1021, 3158, 1776, 2268, 1094, 6521, 1043, 1551, 44, 21824, 1114, 7840, 6579, 4108, 9923, 16770, 1105, 1758, 2385, 1016, 1114, 1224, 3069, 1187, 16250, 2170, 1072, 1531, 7715, 1264, 20015, 1079, 1006, 13460, 1187, 5592, 6060, 1554, 2200, 1973, 1679, 22365, 1070, 13317, 1150, 3026, 1043, 1087, 10277, 1503, 5417, 1160, 15165, 1068, 2459, 7141, 1079, 2072, 6518, 2855, 13124, 3464, 1303, 1005, 23115, 3705, 10600, 1009, 1551, 44, 21824, 2845, 1054, 2322, 1009, 3268, 1009, 2226, 2639, 2200, 1005, 1235, 9495, 1009, 5978, 4687, 5171, 1014, 3510, 1412, 1094, 5978, 3315, 2636, 1009, 1765, 1056, 2485, 1043, 1551, 44, 21824, 19837, 1048, 1124, 18601, 1054, 1224, 4953, 18144, 1648, 1043, 1264, 1068, 4855, 1132, 5592, 6060, 1554, 1138, 29184, 1060, 1765, 1056, 1149, 1195, 2280, 3234, 1356, 28227, 1007, 1068, 1006, 30486, 1026, 4942, 7378, 4568, 17864, 14370, 1138, 28227, 1007, 1068, 1026, 4813, 30060, 4942, 4206, 3333, 2079, 1078, 4358, 5903, 1079, 1048, 1551, 27030, 1100, 3702, 4219, 1044, 10776, 1009, 23496, 9452, 1005, 1142, 27521, 1005, 1048, 2257, 26813, 1009, 11470, 16301, 3498, 1097, 6146, 1836, 21355, 1009 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1091, 1037, 1188, 1005, 13706, 2647, 1132, 18454, 2147, 7742, 1118, 13137, 2344, 1005, 3492, 1127, 10667, 1054, 1144, 5659, 14792, 3306, 2145, 5742, 12567, 1160, 8755, 1344, 5279, 1131, 2909, 1745, 2075, 1130, 1456, 11172, 1349, 8073, 6293, 5291, 1620, 1184, 9802, 2669, 1322, 1006, 1224, 7788, 1043, 1264, 14435, 3735, 1687, 1195, 1419, 7158, 27375, 1603, 1041, 9302, 91, 1049, 11621, 2096, 1930, 1687, 11435, 1044, 22124, 16332, 1048, 1344, 5279, 1131, 9239, 1043, 1044, 2931, 1165, 1243, 15062, 1054, 2464, 1118, 2167, 1474, 18, 1178, 23045, 1054, 1044, 4568, 93, 1396, 2446, 4899, 1344, 153, 12763, 1527, 27425, 1043, 1094, 1953, 1065, 9549, 5024, 3445, 1118, 2043, 2461, 1096, 1026, 3311, 1009, 3791, 1337, 1005, 3472, 27544, 1068, 1752, 20496, 1113, 1257, 1344, 5279, 1131, 1096, 12717, 1009, 9850, 1049, 1144, 5659, 14792, 1005, 1094, 1271, 2125, 1603, 1041, 9302, 3022, 1687, 1225, 2653, 5617, 12192, 1144, 5659, 14792, 1847, 1044, 21088, 3720, 1225, 1094, 1807, 7528, 1009, 5350, 14372, 1009, 1181, 175, 2898, 2079, 214, 83, 1252, 17242, 23102, 1005, 7464, 1009, 2203, 15639, 1679, 1456, 13997, 5224, 1048, 13326, 1132, 5350, 1087, 1229, 1072, 2268, 16061, 1006, 11186, 1058, 5700, 1344, 153, 12763, 76, 10793, 3720, 2845, 1006, 6537, 1094, 9304, 1118, 1144, 5659, 14792, 10130, 153, 12763, 1527, 15, 1846, 1009, 1178, 17808, 1060, 13137, 2344, 10130, 153, 12763, 1527, 15, 1072, 2738, 1060, 14332, 10635, 1184, 3232, 1288, 1006, 9525, 1688, 1070, 29873, 1009, 1048, 1026, 1144, 5659, 14792, 5469, 24337, 15, 1096, 1235, 12044, 1118, 1261, 1744, 2526, 1233, 1144, 5659, 14792, 10130, 153, 12763, 1527, 15, 2170, 23874, 12502, 1044, 3360, 10233, 1061, 1006, 9475, 1094, 4087, 1160, 9121, 1986, 1044, 1169, 1091, 3981, 1054, 1094, 4087, 1493, 4890, 2509, 1136, 2339, 1006, 5510, 1006, 6141, 32, 1144, 5659, 14792, 1096, 1080, 1458, 1076, 1072, 1144, 5659, 14792, 7926, 20, 4634, 6849, 1687, 1058, 3572, 1126, 6568, 13990, 1261, 2637, 1006, 1419, 1043, 1124, 23016, 1271, 13420, 1344, 153, 12763, 76, 1248, 1005, 1298, 2593, 8293, 12311, 1144, 5659, 1189, 8668, 2013, 6736, 22544, 1054, 16044, 9450, 1273, 1511, 13420, 1344, 153, 12763, 76, 1248, 18608, 83, 24879, 1006, 16550, 4501, 14282, 2073, 19230, 1239, 2072, 3437, 6567, 1271, 1344, 153, 12763, 76, 7174, 1687, 3191, 7594, 1006, 20055, 14416, 1005, 1094, 1106, 1281, 90, 1076, 26387, 56, 1717, 1124, 1344, 153, 12763, 76, 1248, 4899, 1005, 8215, 1802, 2013, 1318, 1006, 4966, 1048, 1687, 4337, 1048, 1160, 1837, 2156, 1144, 5659, 1189, 3662, 1309, 1048, 10857, 1009, 4796, 3242, 1219, 1165, 1689, 3705, 3129, 1187, 2931, 1165, 5425, 1096, 3587, 1068, 3371, 5224, 23530, 1068, 1058, 4531, 1344, 2961, 1248, 1054, 12746, 1124, 6264, 1005, 13832, 1009, 6942, 1344, 153, 83, 1364, 20, 5126, 4359, 1040, 1006, 1871, 1009, 1050, 1513, 73, 6084, 18725, 20194, 1009, 1181, 175, 2898, 1048, 1327, 11667, 1118, 9507, 1456, 18284, 2972, 16298, 1068, 28776, 12010, 4313, 2643, 2281, 9509, 1294, 17495, 1159, 3027, 18601, 9839, 1679, 9310, 1060, 1834, 2733, 2358, 3052, 1009, 22667, 1048, 1118, 1224, 1472, 1381, 1124, 18601, 1068, 1857, 1072, 18194, 1113, 1257, 2376, 2341, 20541, 32, 7144, 23648, 28664, 1154, 5, 24623, 1165, 1243, 1068, 1144, 5659, 14792, 1288, 1006, 1871, 1009, 1044, 18151, 1013, 1048, 5471, 1044, 1030, 4382, 19, 1078, 1137, 20, 2200, 7464, 1009, 9035, 1067, 1270, 5279, 3498, 1056, 1113, 1257, 2376, 2341, 20541, 32, 1941, 3755, 7194, 11078, 1154, 5, 24623, 1165, 1243, 1068, 13137, 2344, 1288, 1006, 1871, 1009, 1044, 1023, 1729, 1244, 6302, 1163, 2770, 1009, 9035, 5283, 1600, 24308, 1364, 6785, 2482, 1113, 1257, 2376, 2341, 20541, 32, 1144, 1685, 1082, 1127, 3755, 9442, 24623, 1165, 1243, 1068, 3492, 1127, 10667, 1114, 1871, 1009, 1044, 16173, 14210, 1043, 30485, 2871, 1005, 1092, 156, 3983, 1163, 2770, 1009, 9035, 4933, 1375, 2144, 1113, 1257, 2376, 2341, 20541, 32, 16706, 23648, 1776, 1164, 5, 24623, 1165, 1243, 1068, 13184, 5742, 1114, 9097, 1009, 1044, 15405, 5989, 1075, 2270, 2200, 5879, 1043, 1094, 4005, 9948, 20, 2200, 7464, 1009, 9035, 7958, 29376, 1048, 1998, 1327, 6042, 1402, 1054, 18351, 5852, 1113, 1257, 2376, 2341, 20541, 32, 18381, 14806, 1228, 9336, 1036, 9442, 1138, 1184, 5485, 1187, 24623, 1165, 12111, 2200, 1225, 1006, 2921, 1871, 1048, 1044, 4575, 1048, 1006, 1344, 5279, 1131, 2257, 5029, 3350, 11449, 1043, 1094, 4005, 7155, 1233, 1009, 1044, 21650, 95, 229, 14758, 1348, 1048, 10752, 2835, 2238, 19, 1220, 1248, 1068, 8186, 1009, 2403, 5989, 9596, 1344, 5279, 1131, 12974, 1118, 24849, 1667, 1776, 6449, 2475, 1049, 2764, 1324, 1264, 10920, 1026, 7065, 1118, 6529, 1271, 16359, 1344, 153, 12763, 1527, 1113, 1257, 3126, 1026, 24623, 1165, 1243, 1068, 11078, 23648, 26921, 1104, 12706, 1377, 2200, 1058, 6192, 1068, 1094, 5350, 6464, 8937, 2271, 1048, 1687, 12563, 1379, 20, 1344, 5279, 1131, 7217, 2143, 14434, 19, 1330, 19, 10846, 14306, 1162, 7770, 1046, 1093, 1006, 1082, 3298, 79, 1344, 3789, 27391, 1052, 22974, 78, 1459, 1344, 153, 12763, 76, 1248, 3705, 1344, 153, 12763, 76, 1248, 11666, 1327, 1044, 2417, 1009, 1344, 153, 12763, 76, 1248, 1048, 15022, 1124, 13463, 1009, 1344, 5279, 1131, 20, 9049, 16603, 16190, 1596, 25035, 1009, 5958, 1018, 1009, 1224, 4005, 20, 1071, 1817, 2764, 1324, 1857, 10979, 1456, 2931, 1165, 1689, 1890, 1026, 7927, 7158, 1603, 1041, 9302, 91, 1308, 1257, 2376, 2341, 20541, 32, 1344, 1685, 1228, 5922, 5, 23645, 4568, 93, 1396, 27425, 1043, 1094, 1953, 1093, 1024, 1122, 3556, 1113, 1257, 2376, 2341, 20541, 32, 1084, 1092, 22488, 10972, 5, 23645, 4568, 93, 1396, 27425, 1043, 1044, 1718, 1013, 1113, 1257, 2376, 2341, 20541, 32, 1344, 1252, 21877, 24970, 1956, 71, 6145, 1059, 23645, 1163, 1835, 75, 12789, 27425, 1043, 1094, 2093, 1615, 78, 3013, 31796, 1371, 1043, 25705, 9721, 1113, 1257, 2376, 2341, 20541, 32, 7099, 9968, 2819, 6719, 6145, 1059, 28230, 1529, 1014, 27189, 3720, 2945, 1609, 1043, 1026, 4711, 1068, 23015, 1010, 1009, 3894, 1717, 1456, 15078, 28141, 1257, 1257, 2376, 2341, 20541, 32, 1941, 31532, 78, 4719, 6760, 6145, 78, 1052, 1059, 2346, 158, 1665, 1009, 1144, 5659, 1189, 3022, 1096, 2670, 1049, 5962, 1009, 1080, 4396, 214, 2402, 1110, 3705, 1942, 1348, 3599, 1005, 85, 25886, 3857, 1009, 9756, 1049, 4346, 1009, 22840, 20, 2200, 1298, 6534, 1094, 5095, 1006, 1094, 6187, 1009, 1184, 1009, 9377, 2718, 2975, 1309, 1006, 2759, 1160, 1096, 2072, 3838, 2246, 15042, 9035, 18194, 8486, 16499, 1459, 1049, 1048, 3659, 3798, 19748, 2200, 1318, 1096, 4798, 1049, 4346, 1009, 8274, 1106, 4396, 214, 2402, 1113, 1257, 2376, 2341, 20541, 32, 3492, 1586, 79, 13184, 13909, 1691, 1545, 1049, 5259, 1009, 7436, 1060, 24825, 1796, 1477, 1009, 9850, 1009, 13137, 2344, 1113, 1257, 1163, 1835, 75, 12789, 5705, 1171, 1344, 153, 12763, 1527, 18, 1687, 1195, 19370, 1006, 3659, 1009, 10201, 1054, 3492, 1127, 3755, 3022, 1309, 1144, 5659, 14792, 1005, 13137, 2344, 2500, 19693, 1687, 1113, 1257, 13173, 28230, 1529, 1014, 4899, 1344, 153, 12763, 1527, 1006, 1428, 3533, 10006, 3492, 1127, 10667, 2124, 3720, 1195, 20006, 1006, 17957, 1114, 4281, 1009, 3492, 1127, 10667, 1118, 1094, 14954, 1344, 153, 12763, 1527, 1048, 6368, 1005, 24031, 1113, 1257, 16576, 152, 1184, 11454, 1009, 1123, 2145, 1377, 3720, 3765, 1044, 1080, 2578, 1066, 2079, 214, 83, 1252, 17242, 13176, 1672, 1006, 1123, 2145, 1126, 8220, 1118, 1344, 5279, 1131, 20, 1071, 1817, 2764, 1324, 1123, 11126, 6706, 1235, 2079, 214, 83, 1252, 17242, 23102, 1119, 6694, 1890, 1026, 7927, 7158, 1603, 1041, 9302, 91, 2548, 12548, 21523, 1348, 1009, 2079, 214, 83, 1252, 17242, 13176, 1102, 5, 3316, 14027, 1344, 2961, 1527, 18, 1096, 1044, 12168, 1060, 11121, 11529, 1123, 1956, 1707, 93, 1377, 1144, 5659, 14792, 1005, 13137, 2344, 24584, 1322, 1687, 1511, 1857, 3586, 7187, 1072, 4297, 1191, 7003, 1009, 19543, 2079, 214, 83, 1252, 17242, 13176, 3424, 2494, 7443, 1264, 1096, 1044, 15095, 12255, 1009, 3897, 20, 2200, 6133, 1054, 2034, 1154, 16960, 23186, 1043, 4285, 1016, 18789, 1073, 4565, 1005, 2088, 1734, 5350, 14372, 2079, 214, 83, 1252, 17242, 13176, 3424, 1071, 3885, 1381, 1094, 16318, 1072, 18194, 2548, 50, 1291, 1009, 8525, 26005, 21851, 2310, 1257, 19275, 3626, 8230, 89, 17067, 1009, 29899, 17067, 1009, 18194, 9531, 14402, 1005, 15911, 2215, 1009, 3597, 9531, 14402, 1005, 15911, 2215, 1009, 8907, 9531, 14402, 1005, 15911, 2215, 1009, 7093, 1759, 78, 214, 84, 1051, 9531, 14402, 1009, 4238, 9531, 14402, 1009, 4127, 9531, 14402, 1005, 15911, 2215, 1322, 1624, 77, 19470, 1005, 5429, 17589, 3622, 1, 24557, 11155, 5091, 1088, 1358, 8, 1551, 44, 21824, 13439, 20008, 1009, 3042, 1009, 23440, 1479, 4691, 1056, 2196, 2224, 1009, 3261, 1009, 4579, 15, 1195, 1044, 25193, 8367, 20, 2200, 1195, 25464, 1005, 14613, 1054, 14009, 1356, 11956, 1009, 1456, 18272, 1791, 9372, 1005, 2156, 7668, 1916, 1138, 2535, 1096, 12479, 1118, 1261, 8229, 1026, 3066, 1005, 1124, 7707, 14486, 30258, 1009, 2045, 1796, 2498, 7465, 1207, 2641, 1017, 1879, 11956, 1060, 2531, 1551, 44, 21824, 1257, 6201, 2922, 1271, 1307, 78, 3452, 1498, 1114, 3696, 1009, 2523, 1009, 3113, 1009, 22289, 24557, 1551, 44, 21824, 13439, 3580, 14972, 1495, 1026, 9893, 3490, 1106, 1930, 1054, 1796, 2498, 17149, 11839, 3147, 12367, 2497, 1009, 3047, 11601, 1005, 8583, 21105, 89, 1225, 1048, 1323, 3371, 7, 14458, 1048, 2348, 4809, 1005, 2092, 3372, 1596, 21346, 1166, 7, 2100, 1551, 44, 21824, 1005, 1044, 4674, 2417, 1009, 1783, 1596, 2276, 1068, 1026, 2285, 2475, 24, 1060, 31573, 4429, 13196, 1324, 5062, 1160, 1493, 6794, 1049, 1080, 1930, 1005, 4745, 6422, 1048, 1132, 4090, 1009, 1551, 44, 21824, 1596, 3711, 4498, 1554, 2858, 16515, 1049, 12069, 13098, 1941, 1018, 5146, 18, 2521, 1094, 8262, 1009, 13207, 1068, 1006, 6935, 1049, 8210, 1009, 1982, 2958, 1078, 4041, 1048, 2521, 3902, 1114, 2573, 1005, 8999, 1048, 4234, 3948, 13284, 2531, 1596, 9778, 1054, 1569, 1457, 1016, 3772, 3102, 1132, 7872, 1118, 2922, 1271, 1307, 78, 3452, 1498, 1060, 16451, 24557, 1551, 44, 21824, 7266, 1393, 1043, 1094, 4005, 6909, 4049, 1660, 1006, 1224, 10465, 1025, 1660, 1006, 1224, 2531, 27547, 1495, 1048, 4064, 1026, 1531, 1054, 1048, 1566, 1160, 20608, 1184, 16737, 2122, 4005, 3010, 158, 1820, 1126, 1264, 2521, 1026, 1048, 1026, 6506, 3360, 3684, 2120, 1034, 6603, 10017, 2829, 1026, 24557, 1551, 27030, 1100, 12085, 2864, 24899, 1551, 27030, 1100, 12336, 2864, 1005, 2848, 1009, 1456, 5089, 32, 5113, 3476, 18, 1578, 1646, 33, 6014, 1020, 3529, 2523, 1646, 33, 5714, 18, 2224, 1646, 1005, 3753, 4285, 1208, 13484, 1844, 4844, 7027, 5588, 2281, 21346, 1166, 1043, 1044, 29311, 1108, 2550, 1570, 2737, 1307, 4994, 73, 28721, 8279, 25, 2400, 2916, 1009, 2125, 3229, 1060, 18393, 8152, 10987, 1766, 4090, 1551, 44, 21824, 5588, 2281, 21346, 1166, 2156, 6236, 2097, 1124, 3978, 5588, 2281, 28306, 1043, 1044, 10378, 1657, 20, 1063, 2531, 1551, 44, 21824, 3842, 1393, 1026, 7137, 1028, 0, 2475, 24, 1060, 31573, 31886, 3200, 2271, 1048, 1026, 5554, 1202, 1054, 16538, 5682, 1081, 5004, 1551, 44, 21824, 13439, 1516, 1026, 3419, 1184, 7836, 1060, 10465, 1043, 2276, 3404, 2864, 1005, 1318, 1516, 3201, 1159, 5091, 1088, 1358, 2100, 2200, 1195, 11517, 1068, 1006, 7840, 6579, 2386, 1068, 1224, 3486, 2913, 2762, 1846, 1009, 15214, 1006, 8419, 1114, 5338, 1049, 8241, 1048, 1124, 11832, 5588, 2281, 9309, 1118, 1094, 2716, 2069, 15298, 1006, 1044, 2792, 3509, 9573, 7339, 1021, 3158, 1776, 2268, 1094, 6521, 1043, 1551, 44, 21824, 1114, 7840, 6579, 4108, 9923, 16770, 1105, 1758, 2385, 1016, 1114, 1224, 3069, 1187, 16250, 2170, 1072, 1531, 7715, 1264, 20015, 1079, 1006, 13460, 1187, 5592, 6060, 1554, 2200, 1973, 1679, 22365, 1070, 13317, 1150, 3026, 1043, 1087, 10277, 1503, 5417, 1160, 15165, 1068, 2459, 7141, 1079, 2072, 6518, 2855, 13124, 3464, 1303, 1005, 23115, 3705, 10600, 1009, 1551, 44, 21824, 2845, 1054, 2322, 1009, 3268, 1009, 2226, 2639, 2200, 1005, 1235, 9495, 1009, 5978, 4687, 5171, 1014, 3510, 1412, 1094, 5978, 3315, 2636, 1009, 1765, 1056, 2485, 1043, 1551, 44, 21824, 19837, 1048, 1124, 18601, 1054, 1224, 4953, 18144, 1648, 1043, 1264, 1068, 4855, 1132, 5592, 6060, 1554, 1138, 29184, 1060, 1765, 1056, 1149, 1195, 2280, 3234, 1356, 28227, 1007, 1068, 1006, 30486, 1026, 4942, 7378, 4568, 17864, 14370, 1138, 28227, 1007, 1068, 1026, 4813, 30060, 4942, 4206, 3333, 2079, 1078, 4358, 5903, 1079, 1048, 1551, 27030, 1100, 3702, 4219, 1044, 10776, 1009, 23496, 9452, 1005, 1142, 27521, 1005, 1048, 2257, 26813, 1009, 11470, 16301, 3498, 1097, 6146, 1836, 21355, 1009 ]

[ 10905, 3103, 1467, 10097, 11955, 5411, 1325, 12608, 3234, 1043, 1006, 7698, 12129, 13938, 3020, 2505, 14697, 19, 3885, 1534, 1421, 1230, 4134, 1040, 42, 1014, 1070, 1394, 31695, 4594, 15220, 5623, 11643, 1026, 2380, 1142, 8192, 49, 3920, 1068, 2837, 1044, 2380, 1009, 2658, 21541, 1365, 1124, 13151, 7287, 1005, 4279, 1726, 10529, 2837, 4688, 3045, 1452, 1060, 5623, 1068, 1006, 14814, 1005, 6213, 7863, 13985, 1184, 1715, 675, 20265, 6172, 3103, 69, 5869, 34, 1, 21200, 39, 11555, 4517, 39, 1049, 1062, 19897, 1060, 7817, 40, 4071, 1207, 3071, 7844, 18517, 49, 30799, 21270, 25705, 46, 3828, 11555, 4517, 39, 1009, 1067, 4414, 3083, 21576, 1009, 1062, 124, 50, 6125, 53, 2457, 5310, 16185, 1924, 2077, 74, 2902, 2523, 29, 4700, 2457, 3226, 2582, 1771, 26, 1577, 2430, 1771, 7359, 1771, 1006, 9365, 21052, 20422, 1342, 1322, 3129, 2457, 1992, 1159, 1054, 4524, 1043, 21485, 2457, 1063, 4769, 12241, 1713, 1187, 1082, 1182, 1420, 1034, 2457, 1096, 1094, 12454, 4661, 1054, 8948, 1005, 1011, 22997, 1043, 3555, 3812, 1208, 23755, 1265, 95, 1409, 2186, 14216, 1409, 14281, 22233, 2568, 1009, 28806, 1049, 4758, 12165, 1221, 1049, 1908, 1005, 1060, 2457, 2186, 27928, 1015, 14216, 1409, 12661, 2186, 13638, 1423, 17551, 7884, 18, 2186, 17551, 1485, 2448, 14216, 3555, 11873, 1051, 1252, 1087, 3030, 4119, 11958, 1175, 7022, 4153, 1930, 7900, 78, 3205, 5310, 2457, 1063, 9438, 1213, 4577, 1184, 5483, 1096, 1006, 21485, 1009, 20355, 1093, 2457, 15854, 28268, 15767, 4041, 3555, 2904, 5147, 1006, 27370, 1048, 30881, 1197, 1005, 3758, 13665, 11329, 2457, 1467, 1413, 1034, 30881, 12203, 1225, 5654, 1169, 3213, 94, 1031, 1526, 1005, 3758, 1006, 13665, 13985, 1159, 22003, 1006, 1413, 1411, 9637, 12225, 1043, 1413, 1034, 1005, 22571, 1132, 1456, 6641, 1256, 12448, 6897, 2880, 1006, 5085, 1009, 1008, 10772, 1010, 1009, 3032, 1759, 85, 15442, 4001, 18, 3360, 1072, 6712, 1385, 1159, 1072, 1067, 22856, 1114, 5310, 2457, 1084, 1096, 1064, 1300, 1177, 29266, 1130, 1048, 1668, 2568, 2457, 1011, 168, 1590, 2564, 1009, 7520, 2586, 1025, 1389, 1052, 1118, 10630, 2339, 8459, 92, 1052, 1118, 9118, 1007, 21485, 3555, 1533, 5356, 39, 1487, 1134, 1316, 7518, 1337, 24992, 2163, 3003, 3642, 47, 2805, 3924, 1138, 1317, 10982, 85, 1206, 1124, 6533, 1164, 1096, 1094, 21485, 19928, 3888, 2457, 3410, 1312, 1049, 6783, 1005, 5310, 6624, 1017, 2457, 15873, 28268, 15767, 81, 1138, 2568, 1184, 19682, 1114, 3555, 4908, 15940, 5884, 14525, 19174, 1342, 2193, 1024, 1272, 23889, 1009, 2457, 3821, 2873, 1005, 1429, 7132, 4307, 1005, 1225, 1006, 1853, 3722, 1060, 3111, 3498, 1078, 1529, 1777, 18, 1049, 2499, 9287, 9971, 1005, 1009, 21530, 1627, 4661, 1118, 1044, 2568, 1009, 2457, 1062, 22997, 1026, 3555, 6383, 3071, 23769, 6793, 18427, 13807, 18517, 4414, 2722, 1123, 3640, 51, 4186, 1134, 9696, 43, 16162, 39, 7572, 3521, 5100, 1106, 3071, 23769, 6793, 18427, 13807, 18517, 4414, 2722, 1123, 3640, 51, 4186, 1134, 9696, 43, 16162, 39, 19007, 78, 3814, 2867, 1109, 22071, 1409, 1124, 2399, 5101, 31830, 5209, 1744, 1363, 6732, 1253, 15689, 1171, 675, 2007, 8822, 2686, 1013, 1234, 19514, 1017, 2196, 3275, 30125, 2159, 12662, 73, 2679, 19958, 4517, 1504, 1006, 1123, 1119, 1821, 1041, 1409, 2186, 11529, 1409, 26962, 28369, 1409, 8275, 1409, 1082, 5489, 1057, 1066, 4640, 1020, 1171, 5067, 2186, 9369, 58, 3555, 23190, 1134, 1316, 1007, 1633, 1938, 1961, 5310, 13187, 1134, 1316, 1007, 23824, 675, 2007, 82, 1291, 1009, 3195, 1009, 13187, 1134, 1316, 1007, 23824, 1005, 3195, 1009, 13187, 1134, 1316, 1007, 23824, 5055, 1166, 1114, 5310, 1068, 25681, 29668, 5078, 31551, 1006, 4883, 3195, 1009, 13187, 1134, 1316, 1007, 3555, 4355, 1316, 1170, 1327, 12940, 1213, 1317, 10982, 85, 3528, 2869, 1213, 20361, 5920, 1026, 4577, 1009, 21485, 4635, 4405, 1096, 14466, 5336, 9274, 1178, 1057, 19979, 1167, 4039, 1138, 1561, 2598, 7062, 2072, 15671, 14641, 1511, 1026, 6976, 1096, 3555, 1533, 3374, 1060, 8446, 8698, 1005, 1060, 24448, 3854, 7848, 1097, 3079, 1019, 1468, 1015, 2457, 1605, 10359, 3312, 1006, 3357, 2693, 5058, 1713, 2453, 1060, 10296, 2339, 2457, 22362, 4955, 2017, 4526, 6502, 1114, 5310, 2457, 5495, 2547, 79, 1026, 1011, 22997, 12164, 8218, 17570, 3555, 1059, 1107, 9314, 2359, 3450, 1081, 3153, 1015, 8159, 9597, 2523, 26, 1605, 1317, 10982, 85, 1096, 1094, 21485, 3888, 3863, 1054, 1791, 22546, 1060, 2457, 10475, 1060, 5310, 1422, 2457, 9259, 1422, 2457, 1138, 3489, 1096, 13595, 2252, 1124, 15537, 1049, 2568, 1949, 1343, 3555, 3021, 1326, 79, 9458, 1807, 1049, 21514, 1049, 9242, 1009, 1994, 2483, 5, 1022, 4159, 1073, 9260, 4463, 1277, 12103, 29623, 1239, 1006, 17503, 16541, 17989, 1348, 1175, 4883, 12521, 79, 9458, 1807, 1049, 21514, 1049, 9242, 1009, 1994, 2483, 1175, 2380, 1009, 16666, 2894, 1069, 7120, 1009, 3555, 6843, 1367, 1291, 1049, 4813, 8450, 1049, 8605, 1106, 20074, 4436, 1901, 2457, 18597, 1019, 3931, 26855, 1504, 1006, 14622, 1636, 1234, 27229, 6393, 2604, 16764, 1013, 1057, 16565, 2620, 1248, 3226, 40, 2118, 24723, 1047, 1013, 2844, 1011, 13190, 25419, 21485, 25419, 1011, 2057, 25310, 675, 2007, 17297, 1041, 149, 1106, 2118, 24723, 1047, 1013, 2844, 1011, 13190, 25419, 21485, 2457, 5310, 4285, 29260, 1378, 75, 1134, 1316, 1007, 2457, 19806, 71, 2129, 2817, 13193, 2844, 1011, 13190, 25419, 21485, 2129, 2568, 2129, 28268, 15767, 81, 1200, 2623, 3555, 1833, 25878, 1461, 1424, 2993, 1509, 1140, 1940, 1316, 1170, 1327, 12940, 1213, 1317, 10982, 85, 1482, 2869, 1213, 20361, 5920, 1026, 4577, 1009, 21485, 4635, 4405, 1096, 14466, 5336, 9274, 1178, 1057, 19979, 1167, 4039, 3226, 9548, 1321, 1272, 1049, 3080, 1526, 1114, 1745, 1582, 1118, 2872, 1416, 1054, 675, 2007, 24, 26014, 1424, 17550, 1009, 10296, 7518, 1337, 12772, 1356, 2568, 28268, 15767, 4041, 2457, 18289, 1694, 1060, 5310, 1799, 2457, 2656, 1195, 30604, 4281, 1009, 21485, 1009, 3318, 22227, 1114, 3555, 1833, 25145, 1068, 1880, 15153, 3837, 30661, 1006, 5310, 1096, 1026, 1712, 8271, 5178, 2457, 4490, 21485, 3134, 6847, 1048, 3629, 15567, 1026, 2716, 29117, 1078, 2457, 1011, 22997, 6746, 1060, 2236, 1043, 1984, 1009, 3128, 21616, 3555, 3590, 1031, 3277, 14242, 3477, 1899, 1221, 4127, 1972, 7365, 2346, 24914, 12039, 23, 1119, 3083, 6125, 2581, 2053, 8638, 1163, 43, 4562, 139, 45, 13889, 2804, 30894, 1118, 1180, 2713, 11789, 1119, 124, 60, 4414, 39, 1106, 6767, 20713, 5394, 45, 4212, 51, 4436, 5290, 2510, 21990, 16679, 1926, 6125, 53, 2955, 2939, 71, 1009, 10995, 1821, 2457, 3226, 1022, 4159, 1081, 3153, 1015, 8159, 10026, 1060, 13057, 2191, 2457, 1797, 3575, 1224, 6855, 6085, 6272, 1005, 21879, 2073, 16559, 6085, 1118, 1123, 14545, 1254, 1128, 2178, 1094, 7962, 4058, 91, 2983, 17266, 1009, 1751, 1060, 16559, 1424, 1026, 3489, 1009, 3555, 3021, 4517, 3831, 7817, 12263, 2545, 2818, 1067, 2870, 2982, 28022, 10632, 19838, 24290, 2818, 675, 2007, 83, 1087, 19135, 1005, 14139, 9839, 1206, 1620, 3460, 1048, 1132, 18289, 6683, 1049, 2568, 28268, 15767, 81, 2457, 2494, 5310, 1826, 1847, 2817, 5006, 2457, 1134, 1316, 1007, 1009, 1015, 1020, 1029, 1675, 1799, 1782, 2224, 1256, 4441, 1799, 1106, 27408, 1060, 4501, 1452, 1009, 1574, 1034, 1068, 4300, 1467, 1574, 1034, 1096, 19616, 1049, 3821, 1005, 1049, 3709, 1049, 8114, 1005, 25863, 3691, 3126, 7910, 16058, 2309, 5389, 23100, 1048, 1006, 2265, 4433, 1044, 6419, 82, 1337, 15971, 17894, 5389, 23100, 1058, 5903, 2241, 1118, 1044, 3555, 2904, 1078, 1095, 12991, 1675, 69, 2702, 1220, 1112, 26654, 1114, 3649, 675, 2007, 7394, 6810, 1009, 8938, 1009, 1970, 5775, 1054, 21485, 1009, 1015, 1020, 1029, 2457, 7575, 1026, 2568, 28268, 15767, 81, 2457, 1043, 1675, 9599, 1009, 27744, 3410, 1312, 1060, 5310, 3555, 5735, 23404, 8729, 3035, 1005, 2819, 4105, 10751, 1605, 5654, 5310, 1114, 8172, 1060, 26292, 4750, 1271, 1043, 5273, 16391, 1096, 2457, 1054, 1235, 2568, 1009, 25843, 1006, 2457, 24873, 1060, 21485, 1009, 3555, 3590, 1031, 3277, 14242, 3167, 1732, 12709, 2673, 2503, 1031, 3277, 14242, 3167, 1018, 1175, 12709, 2673, 1198, 3302, 1732, 5504, 95, 675, 174, 5386, 5067, 1025, 1131, 1076, 86, 1098, 17459, 5312, 6398, 57, 3969, 1078, 19520, 3226, 1167, 6857, 3073, 3342, 1009, 5918, 5, 1609, 76, 11747, 1009, 22882, 1025, 1022, 2227, 5918, 11747, 1009, 22882, 1025, 1022, 2227, 1881, 82, 9565, 3140, 1005, 1867, 8424, 90, 1408, 1154, 2762, 1263, 6495, 83, 1031, 2440, 13225, 83, 11823, 7278, 11478, 1192, 2147, 1005, 3555, 3482, 2160, 1009, 1574, 1034, 16971, 14482, 2526, 1005, 14010, 1467, 13665, 8436, 8386, 1096, 3435, 1009, 1044, 2568, 15070, 5094, 1049, 2291, 5120, 2457, 1063, 21485, 1445, 1814, 1026, 12513, 18284, 1453, 1005, 19164, 1026, 15786, 1118, 2191, 1271, 2521, 3226, 2099, 24704, 1009, 13304, 18790, 5168, 24704, 1009, 13304, 1009, 21946, 1009, 15808, 1021, 80, 1623, 2457, 8323, 1068, 1006, 16606, 1060, 3111, 1060, 15808, 1021, 80, 1623, 1005, 18790, 1009, 16711, 3340, 1068, 15374, 1154, 5792, 1068, 1058, 10927, 1054, 10907, 1715, 1, 6793, 2818, 44, 29916, 5462, 15500, 14705, 24290, 1073, 30156, 13889, 1479, 1134, 2606, 2545, 2393, 39, 1479, 8955, 2769, 1187, 19400, 1463, 5998, 8196, 1242, 1009, 15990, 2983, 1049, 25740, 1874, 19309, 6170, 88, 1068, 1026, 3284, 11658, 18478, 2503, 18314, 1034, 29546, 13758, 5690, 20821, 1391, 3008, 22907, 1009, 7029, 4019, 3564, 22234, 10888, 1458, 2503, 1780, 2925, 6803, 1383, 51, 2818, 44, 29916, 5462, 15500, 14705, 24290, 1073, 30156, 13889, 31023, 1009, 3042, 1009, 3209, 13583, 24, 1467, 1134, 1492, 1153, 19227, 1006, 24843, 1140, 1431, 8194, 1054, 10319, 1187, 10504, 5651, 3368, 7982, 1072, 1531, 1307, 2600, 2534, 1118, 8906, 1893, 2106, 25221, 1573, 1005, 13329, 1009, 9488, 1271, 2754, 3905, 1049, 7395, 1876, 1479, 21640, 7263, 1005, 8779, 27019, 2247, 1009, 8022, 1159, 5744, 6164, 1009, 19950, 3106, 11040, 1349, 2778, 1165, 4519, 12792, 78, 1544, 1114, 11239, 7479, 15, 1005, 4630, 2769, 1187, 7906, 1708, 30348, 43, 1565, 1138, 2743, 1009, 8116, 7324, 26999, 1356, 2671, 1213, 7026, 1058, 4312, 9678, 1009, 25277, 1187, 9017, 1005, 1060, 8797, 18, 1048, 29889, 16891, 1048, 1026, 2671, 27635, 1858, 1928, 15164, 1402, 1322, 1026, 4898, 2999, 1005, 1048, 23534, 5294, 1989, 3159, 7725, 1961, 4933, 9765, 1006, 2779, 11873, 1097, 1787, 1026, 7395, 1876, 1006, 28106, 1096, 1094, 2373, 5165, 1019, 3276, 626, 9376, 1140, 1356, 2671, 1005, 2309, 23807, 1049, 11257, 14407, 1026, 4148, 6304, 1049, 15860, 30057, 6871, 11758, 11377, 11197, 20, 2373, 3885, 1096, 1094, 6915, 2823, 29696, 1309, 2309, 3997, 3732, 1072, 1561, 4324, 4979, 20, 5153, 1026, 4148, 6304, 1049, 15860, 30057, 1006, 8116, 7324, 1058, 11954, 1006, 2089, 5567, 1048, 4343, 1072, 5239, 1009, 6233, 1026, 3129, 1049, 2956, 1005, 1663, 1043, 1048, 28461, 3732, 1058, 1650, 1040, 2373, 12303, 10554, 4324, 13236, 20, 18227, 2956, 1048, 1006, 31848, 22500, 24648, 22945, 2271, 1026, 2568, 1009, 28487, 13225, 1005, 1048, 1058, 5766, 1236, 1114, 6324, 5823, 1325, 1054, 13650, 2656, 1096, 1068, 7188, 1930, 1309, 1068, 1009, 1636, 1024, 1006, 9015, 20, 2656, 1096, 1998, 26989, 1024, 1132, 3140, 20117, 1309, 5501, 3794, 3997, 1114, 4786, 1060, 8515, 10206, 4324, 1973, 6871, 11758, 1533, 23668, 1679, 17575, 2445, 1175, 1138, 3489, 1060, 8116, 7324, 1096, 2373, 19870, 1024, 1043, 1006, 3568, 4345, 4324, 1973, 1026, 2670, 1060, 8955, 2769, 1187, 4389, 3703, 5651, 1391, 6371, 3622, 1005, 1049, 8653, 3517, 4015, 1492, 75, 1292, 1349, 6075, 18066, 7706, 20, 2373, 43, 3417, 1132, 1184, 15776, 1347, 2217, 9429, 1009, 3140, 22235, 6816, 4324, 13236, 4578, 1026, 5295, 2834, 6007, 1106, 20667, 1047, 14734, 1022, 2469, 7778, 19, 13348, 1343, 1049, 1431, 71, 1469, 23643, 2867, 7092, 13404, 5295, 5811, 1005, 11195, 1009, 3603, 1349, 1006, 4600, 1049, 2671, 1058, 28868, 1054, 1033, 6551, 26768, 1322, 1026, 3159, 15424, 3316, 26059, 1933, 1339, 3205, 2909, 1094, 2373, 1774, 1212, 1010, 1027, 626, 1009, 11787, 1009, 4987, 1365, 3917, 1005, 16202, 2605, 1006, 18607, 23499, 1858, 1072, 1498, 2565, 10689, 3022, 2097, 22637, 1250, 1132, 11787, 1060, 4630, 1160, 1058, 3011, 1412, 12904, 7037, 6698, 1043, 10494, 626, 1175, 1063, 25278, 3013, 8451, 1140, 1005, 2452, 3013, 4669, 1196, 13755, 19323, 6561, 1358, 1803, 1049, 15302, 1054, 10319, 1187, 11837, 1187, 19400, 25463, 4927, 1166, 1357, 11811, 18387, 2094, 12305, 8912, 1006, 2373, 1053, 1520, 2027, 1060, 3616, 4345, 1068, 6838, 1800, 1044, 1908, 13754, 2095, 8226, 5841, 8116, 1058, 9065, 1814, 1043, 2089, 1072, 5239, 1009, 2373, 74, 1223, 1237, 1346, 1060, 3028, 20292, 5693, 152, 4324, 1054, 1819, 8668, 5153, 9475, 1006, 7834, 28568, 10403, 1236, 1356, 2671, 2373, 26994, 1058, 7734, 2542, 1593, 88, 5078, 1145 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10905, 3103, 1467, 10097, 11955, 5411, 1325, 12608, 3234, 1043, 1006, 7698, 12129, 13938, 3020, 2505, 14697, 19, 3885, 1534, 1421, 1230, 4134, 1040, 42, 1014, 1070, 1394, 31695, 4594, 15220, 5623, 11643, 1026, 2380, 1142, 8192, 49, 3920, 1068, 2837, 1044, 2380, 1009, 2658, 21541, 1365, 1124, 13151, 7287, 1005, 4279, 1726, 10529, 2837, 4688, 3045, 1452, 1060, 5623, 1068, 1006, 14814, 1005, 6213, 7863, 13985, 1184, 1715, 675, 20265, 6172, 3103, 69, 5869, 34, 1, 21200, 39, 11555, 4517, 39, 1049, 1062, 19897, 1060, 7817, 40, 4071, 1207, 3071, 7844, 18517, 49, 30799, 21270, 25705, 46, 3828, 11555, 4517, 39, 1009, 1067, 4414, 3083, 21576, 1009, 1062, 124, 50, 6125, 53, 2457, 5310, 16185, 1924, 2077, 74, 2902, 2523, 29, 4700, 2457, 3226, 2582, 1771, 26, 1577, 2430, 1771, 7359, 1771, 1006, 9365, 21052, 20422, 1342, 1322, 3129, 2457, 1992, 1159, 1054, 4524, 1043, 21485, 2457, 1063, 4769, 12241, 1713, 1187, 1082, 1182, 1420, 1034, 2457, 1096, 1094, 12454, 4661, 1054, 8948, 1005, 1011, 22997, 1043, 3555, 3812, 1208, 23755, 1265, 95, 1409, 2186, 14216, 1409, 14281, 22233, 2568, 1009, 28806, 1049, 4758, 12165, 1221, 1049, 1908, 1005, 1060, 2457, 2186, 27928, 1015, 14216, 1409, 12661, 2186, 13638, 1423, 17551, 7884, 18, 2186, 17551, 1485, 2448, 14216, 3555, 11873, 1051, 1252, 1087, 3030, 4119, 11958, 1175, 7022, 4153, 1930, 7900, 78, 3205, 5310, 2457, 1063, 9438, 1213, 4577, 1184, 5483, 1096, 1006, 21485, 1009, 20355, 1093, 2457, 15854, 28268, 15767, 4041, 3555, 2904, 5147, 1006, 27370, 1048, 30881, 1197, 1005, 3758, 13665, 11329, 2457, 1467, 1413, 1034, 30881, 12203, 1225, 5654, 1169, 3213, 94, 1031, 1526, 1005, 3758, 1006, 13665, 13985, 1159, 22003, 1006, 1413, 1411, 9637, 12225, 1043, 1413, 1034, 1005, 22571, 1132, 1456, 6641, 1256, 12448, 6897, 2880, 1006, 5085, 1009, 1008, 10772, 1010, 1009, 3032, 1759, 85, 15442, 4001, 18, 3360, 1072, 6712, 1385, 1159, 1072, 1067, 22856, 1114, 5310, 2457, 1084, 1096, 1064, 1300, 1177, 29266, 1130, 1048, 1668, 2568, 2457, 1011, 168, 1590, 2564, 1009, 7520, 2586, 1025, 1389, 1052, 1118, 10630, 2339, 8459, 92, 1052, 1118, 9118, 1007, 21485, 3555, 1533, 5356, 39, 1487, 1134, 1316, 7518, 1337, 24992, 2163, 3003, 3642, 47, 2805, 3924, 1138, 1317, 10982, 85, 1206, 1124, 6533, 1164, 1096, 1094, 21485, 19928, 3888, 2457, 3410, 1312, 1049, 6783, 1005, 5310, 6624, 1017, 2457, 15873, 28268, 15767, 81, 1138, 2568, 1184, 19682, 1114, 3555, 4908, 15940, 5884, 14525, 19174, 1342, 2193, 1024, 1272, 23889, 1009, 2457, 3821, 2873, 1005, 1429, 7132, 4307, 1005, 1225, 1006, 1853, 3722, 1060, 3111, 3498, 1078, 1529, 1777, 18, 1049, 2499, 9287, 9971, 1005, 1009, 21530, 1627, 4661, 1118, 1044, 2568, 1009, 2457, 1062, 22997, 1026, 3555, 6383, 3071, 23769, 6793, 18427, 13807, 18517, 4414, 2722, 1123, 3640, 51, 4186, 1134, 9696, 43, 16162, 39, 7572, 3521, 5100, 1106, 3071, 23769, 6793, 18427, 13807, 18517, 4414, 2722, 1123, 3640, 51, 4186, 1134, 9696, 43, 16162, 39, 19007, 78, 3814, 2867, 1109, 22071, 1409, 1124, 2399, 5101, 31830, 5209, 1744, 1363, 6732, 1253, 15689, 1171, 675, 2007, 8822, 2686, 1013, 1234, 19514, 1017, 2196, 3275, 30125, 2159, 12662, 73, 2679, 19958, 4517, 1504, 1006, 1123, 1119, 1821, 1041, 1409, 2186, 11529, 1409, 26962, 28369, 1409, 8275, 1409, 1082, 5489, 1057, 1066, 4640, 1020, 1171, 5067, 2186, 9369, 58, 3555, 23190, 1134, 1316, 1007, 1633, 1938, 1961, 5310, 13187, 1134, 1316, 1007, 23824, 675, 2007, 82, 1291, 1009, 3195, 1009, 13187, 1134, 1316, 1007, 23824, 1005, 3195, 1009, 13187, 1134, 1316, 1007, 23824, 5055, 1166, 1114, 5310, 1068, 25681, 29668, 5078, 31551, 1006, 4883, 3195, 1009, 13187, 1134, 1316, 1007, 3555, 4355, 1316, 1170, 1327, 12940, 1213, 1317, 10982, 85, 3528, 2869, 1213, 20361, 5920, 1026, 4577, 1009, 21485, 4635, 4405, 1096, 14466, 5336, 9274, 1178, 1057, 19979, 1167, 4039, 1138, 1561, 2598, 7062, 2072, 15671, 14641, 1511, 1026, 6976, 1096, 3555, 1533, 3374, 1060, 8446, 8698, 1005, 1060, 24448, 3854, 7848, 1097, 3079, 1019, 1468, 1015, 2457, 1605, 10359, 3312, 1006, 3357, 2693, 5058, 1713, 2453, 1060, 10296, 2339, 2457, 22362, 4955, 2017, 4526, 6502, 1114, 5310, 2457, 5495, 2547, 79, 1026, 1011, 22997, 12164, 8218, 17570, 3555, 1059, 1107, 9314, 2359, 3450, 1081, 3153, 1015, 8159, 9597, 2523, 26, 1605, 1317, 10982, 85, 1096, 1094, 21485, 3888, 3863, 1054, 1791, 22546, 1060, 2457, 10475, 1060, 5310, 1422, 2457, 9259, 1422, 2457, 1138, 3489, 1096, 13595, 2252, 1124, 15537, 1049, 2568, 1949, 1343, 3555, 3021, 1326, 79, 9458, 1807, 1049, 21514, 1049, 9242, 1009, 1994, 2483, 5, 1022, 4159, 1073, 9260, 4463, 1277, 12103, 29623, 1239, 1006, 17503, 16541, 17989, 1348, 1175, 4883, 12521, 79, 9458, 1807, 1049, 21514, 1049, 9242, 1009, 1994, 2483, 1175, 2380, 1009, 16666, 2894, 1069, 7120, 1009, 3555, 6843, 1367, 1291, 1049, 4813, 8450, 1049, 8605, 1106, 20074, 4436, 1901, 2457, 18597, 1019, 3931, 26855, 1504, 1006, 14622, 1636, 1234, 27229, 6393, 2604, 16764, 1013, 1057, 16565, 2620, 1248, 3226, 40, 2118, 24723, 1047, 1013, 2844, 1011, 13190, 25419, 21485, 25419, 1011, 2057, 25310, 675, 2007, 17297, 1041, 149, 1106, 2118, 24723, 1047, 1013, 2844, 1011, 13190, 25419, 21485, 2457, 5310, 4285, 29260, 1378, 75, 1134, 1316, 1007, 2457, 19806, 71, 2129, 2817, 13193, 2844, 1011, 13190, 25419, 21485, 2129, 2568, 2129, 28268, 15767, 81, 1200, 2623, 3555, 1833, 25878, 1461, 1424, 2993, 1509, 1140, 1940, 1316, 1170, 1327, 12940, 1213, 1317, 10982, 85, 1482, 2869, 1213, 20361, 5920, 1026, 4577, 1009, 21485, 4635, 4405, 1096, 14466, 5336, 9274, 1178, 1057, 19979, 1167, 4039, 3226, 9548, 1321, 1272, 1049, 3080, 1526, 1114, 1745, 1582, 1118, 2872, 1416, 1054, 675, 2007, 24, 26014, 1424, 17550, 1009, 10296, 7518, 1337, 12772, 1356, 2568, 28268, 15767, 4041, 2457, 18289, 1694, 1060, 5310, 1799, 2457, 2656, 1195, 30604, 4281, 1009, 21485, 1009, 3318, 22227, 1114, 3555, 1833, 25145, 1068, 1880, 15153, 3837, 30661, 1006, 5310, 1096, 1026, 1712, 8271, 5178, 2457, 4490, 21485, 3134, 6847, 1048, 3629, 15567, 1026, 2716, 29117, 1078, 2457, 1011, 22997, 6746, 1060, 2236, 1043, 1984, 1009, 3128, 21616, 3555, 3590, 1031, 3277, 14242, 3477, 1899, 1221, 4127, 1972, 7365, 2346, 24914, 12039, 23, 1119, 3083, 6125, 2581, 2053, 8638, 1163, 43, 4562, 139, 45, 13889, 2804, 30894, 1118, 1180, 2713, 11789, 1119, 124, 60, 4414, 39, 1106, 6767, 20713, 5394, 45, 4212, 51, 4436, 5290, 2510, 21990, 16679, 1926, 6125, 53, 2955, 2939, 71, 1009, 10995, 1821, 2457, 3226, 1022, 4159, 1081, 3153, 1015, 8159, 10026, 1060, 13057, 2191, 2457, 1797, 3575, 1224, 6855, 6085, 6272, 1005, 21879, 2073, 16559, 6085, 1118, 1123, 14545, 1254, 1128, 2178, 1094, 7962, 4058, 91, 2983, 17266, 1009, 1751, 1060, 16559, 1424, 1026, 3489, 1009, 3555, 3021, 4517, 3831, 7817, 12263, 2545, 2818, 1067, 2870, 2982, 28022, 10632, 19838, 24290, 2818, 675, 2007, 83, 1087, 19135, 1005, 14139, 9839, 1206, 1620, 3460, 1048, 1132, 18289, 6683, 1049, 2568, 28268, 15767, 81, 2457, 2494, 5310, 1826, 1847, 2817, 5006, 2457, 1134, 1316, 1007, 1009, 1015, 1020, 1029, 1675, 1799, 1782, 2224, 1256, 4441, 1799, 1106, 27408, 1060, 4501, 1452, 1009, 1574, 1034, 1068, 4300, 1467, 1574, 1034, 1096, 19616, 1049, 3821, 1005, 1049, 3709, 1049, 8114, 1005, 25863, 3691, 3126, 7910, 16058, 2309, 5389, 23100, 1048, 1006, 2265, 4433, 1044, 6419, 82, 1337, 15971, 17894, 5389, 23100, 1058, 5903, 2241, 1118, 1044, 3555, 2904, 1078, 1095, 12991, 1675, 69, 2702, 1220, 1112, 26654, 1114, 3649, 675, 2007, 7394, 6810, 1009, 8938, 1009, 1970, 5775, 1054, 21485, 1009, 1015, 1020, 1029, 2457, 7575, 1026, 2568, 28268, 15767, 81, 2457, 1043, 1675, 9599, 1009, 27744, 3410, 1312, 1060, 5310, 3555, 5735, 23404, 8729, 3035, 1005, 2819, 4105, 10751, 1605, 5654, 5310, 1114, 8172, 1060, 26292, 4750, 1271, 1043, 5273, 16391, 1096, 2457, 1054, 1235, 2568, 1009, 25843, 1006, 2457, 24873, 1060, 21485, 1009, 3555, 3590, 1031, 3277, 14242, 3167, 1732, 12709, 2673, 2503, 1031, 3277, 14242, 3167, 1018, 1175, 12709, 2673, 1198, 3302, 1732, 5504, 95, 675, 174, 5386, 5067, 1025, 1131, 1076, 86, 1098, 17459, 5312, 6398, 57, 3969, 1078, 19520, 3226, 1167, 6857, 3073, 3342, 1009, 5918, 5, 1609, 76, 11747, 1009, 22882, 1025, 1022, 2227, 5918, 11747, 1009, 22882, 1025, 1022, 2227, 1881, 82, 9565, 3140, 1005, 1867, 8424, 90, 1408, 1154, 2762, 1263, 6495, 83, 1031, 2440, 13225, 83, 11823, 7278, 11478, 1192, 2147, 1005, 3555, 3482, 2160, 1009, 1574, 1034, 16971, 14482, 2526, 1005, 14010, 1467, 13665, 8436, 8386, 1096, 3435, 1009, 1044, 2568, 15070, 5094, 1049, 2291, 5120, 2457, 1063, 21485, 1445, 1814, 1026, 12513, 18284, 1453, 1005, 19164, 1026, 15786, 1118, 2191, 1271, 2521, 3226, 2099, 24704, 1009, 13304, 18790, 5168, 24704, 1009, 13304, 1009, 21946, 1009, 15808, 1021, 80, 1623, 2457, 8323, 1068, 1006, 16606, 1060, 3111, 1060, 15808, 1021, 80, 1623, 1005, 18790, 1009, 16711, 3340, 1068, 15374, 1154, 5792, 1068, 1058, 10927, 1054, 10907, 1715, 1, 6793, 2818, 44, 29916, 5462, 15500, 14705, 24290, 1073, 30156, 13889, 1479, 1134, 2606, 2545, 2393, 39, 1479, 8955, 2769, 1187, 19400, 1463, 5998, 8196, 1242, 1009, 15990, 2983, 1049, 25740, 1874, 19309, 6170, 88, 1068, 1026, 3284, 11658, 18478, 2503, 18314, 1034, 29546, 13758, 5690, 20821, 1391, 3008, 22907, 1009, 7029, 4019, 3564, 22234, 10888, 1458, 2503, 1780, 2925, 6803, 1383, 51, 2818, 44, 29916, 5462, 15500, 14705, 24290, 1073, 30156, 13889, 31023, 1009, 3042, 1009, 3209, 13583, 24, 1467, 1134, 1492, 1153, 19227, 1006, 24843, 1140, 1431, 8194, 1054, 10319, 1187, 10504, 5651, 3368, 7982, 1072, 1531, 1307, 2600, 2534, 1118, 8906, 1893, 2106, 25221, 1573, 1005, 13329, 1009, 9488, 1271, 2754, 3905, 1049, 7395, 1876, 1479, 21640, 7263, 1005, 8779, 27019, 2247, 1009, 8022, 1159, 5744, 6164, 1009, 19950, 3106, 11040, 1349, 2778, 1165, 4519, 12792, 78, 1544, 1114, 11239, 7479, 15, 1005, 4630, 2769, 1187, 7906, 1708, 30348, 43, 1565, 1138, 2743, 1009, 8116, 7324, 26999, 1356, 2671, 1213, 7026, 1058, 4312, 9678, 1009, 25277, 1187, 9017, 1005, 1060, 8797, 18, 1048, 29889, 16891, 1048, 1026, 2671, 27635, 1858, 1928, 15164, 1402, 1322, 1026, 4898, 2999, 1005, 1048, 23534, 5294, 1989, 3159, 7725, 1961, 4933, 9765, 1006, 2779, 11873, 1097, 1787, 1026, 7395, 1876, 1006, 28106, 1096, 1094, 2373, 5165, 1019, 3276, 626, 9376, 1140, 1356, 2671, 1005, 2309, 23807, 1049, 11257, 14407, 1026, 4148, 6304, 1049, 15860, 30057, 6871, 11758, 11377, 11197, 20, 2373, 3885, 1096, 1094, 6915, 2823, 29696, 1309, 2309, 3997, 3732, 1072, 1561, 4324, 4979, 20, 5153, 1026, 4148, 6304, 1049, 15860, 30057, 1006, 8116, 7324, 1058, 11954, 1006, 2089, 5567, 1048, 4343, 1072, 5239, 1009, 6233, 1026, 3129, 1049, 2956, 1005, 1663, 1043, 1048, 28461, 3732, 1058, 1650, 1040, 2373, 12303, 10554, 4324, 13236, 20, 18227, 2956, 1048, 1006, 31848, 22500, 24648, 22945, 2271, 1026, 2568, 1009, 28487, 13225, 1005, 1048, 1058, 5766, 1236, 1114, 6324, 5823, 1325, 1054, 13650, 2656, 1096, 1068, 7188, 1930, 1309, 1068, 1009, 1636, 1024, 1006, 9015, 20, 2656, 1096, 1998, 26989, 1024, 1132, 3140, 20117, 1309, 5501, 3794, 3997, 1114, 4786, 1060, 8515, 10206, 4324, 1973, 6871, 11758, 1533, 23668, 1679, 17575, 2445, 1175, 1138, 3489, 1060, 8116, 7324, 1096, 2373, 19870, 1024, 1043, 1006, 3568, 4345, 4324, 1973, 1026, 2670, 1060, 8955, 2769, 1187, 4389, 3703, 5651, 1391, 6371, 3622, 1005, 1049, 8653, 3517, 4015, 1492, 75, 1292, 1349, 6075, 18066, 7706, 20, 2373, 43, 3417, 1132, 1184, 15776, 1347, 2217, 9429, 1009, 3140, 22235, 6816, 4324, 13236, 4578, 1026, 5295, 2834, 6007, 1106, 20667, 1047, 14734, 1022, 2469, 7778, 19, 13348, 1343, 1049, 1431, 71, 1469, 23643, 2867, 7092, 13404, 5295, 5811, 1005, 11195, 1009, 3603, 1349, 1006, 4600, 1049, 2671, 1058, 28868, 1054, 1033, 6551, 26768, 1322, 1026, 3159, 15424, 3316, 26059, 1933, 1339, 3205, 2909, 1094, 2373, 1774, 1212, 1010, 1027, 626, 1009, 11787, 1009, 4987, 1365, 3917, 1005, 16202, 2605, 1006, 18607, 23499, 1858, 1072, 1498, 2565, 10689, 3022, 2097, 22637, 1250, 1132, 11787, 1060, 4630, 1160, 1058, 3011, 1412, 12904, 7037, 6698, 1043, 10494, 626, 1175, 1063, 25278, 3013, 8451, 1140, 1005, 2452, 3013, 4669, 1196, 13755, 19323, 6561, 1358, 1803, 1049, 15302, 1054, 10319, 1187, 11837, 1187, 19400, 25463, 4927, 1166, 1357, 11811, 18387, 2094, 12305, 8912, 1006, 2373, 1053, 1520, 2027, 1060, 3616, 4345, 1068, 6838, 1800, 1044, 1908, 13754, 2095, 8226, 5841, 8116, 1058, 9065, 1814, 1043, 2089, 1072, 5239, 1009, 2373, 74, 1223, 1237, 1346, 1060, 3028, 20292, 5693, 152, 4324, 1054, 1819, 8668, 5153, 9475, 1006, 7834, 28568, 10403, 1236, 1356, 2671, 2373, 26994, 1058, 7734, 2542, 1593, 88, 5078, 1145 ]

[ 6613, 1005, 15654, 1048, 6583, 1657, 1044, 20386, 1704, 2743, 2566, 5604, 1006, 14608, 1009, 31547, 10245, 1118, 2191, 1049, 7674, 2769, 1009, 7846, 25232, 1005, 5170, 4045, 16852, 2164, 1349, 1068, 5554, 1009, 25513, 1005, 5433, 1229, 1118, 19923, 16055, 6613, 1005, 3235, 10010, 1009, 23852, 1009, 19587, 6889, 2303, 1043, 1026, 11797, 1048, 1620, 11720, 14686, 1698, 1114, 4338, 1187, 10570, 2585, 2177, 3098, 2408, 1495, 15312, 11, 1049, 2161, 3225, 1049, 20386, 1005, 2827, 13190, 9270, 2647, 2271, 1048, 2374, 13438, 1043, 10963, 1005, 19410, 17671, 1896, 1357, 10944, 71, 1067, 6372, 18, 3004, 1054, 1307, 11, 1213, 1901, 4441, 19923, 1048, 3768, 3493, 1026, 14566, 9870, 2224, 3952, 1009, 1429, 1272, 1005, 1495, 10706, 3952, 1068, 2533, 3144, 3423, 1060, 5554, 1009, 25513, 1005, 5433, 1229, 1026, 10591, 1318, 4291, 1345, 29171, 1006, 5554, 1009, 5061, 1009, 9030, 3784, 7079, 1049, 7867, 1005, 7079, 3967, 1046, 1291, 2904, 1140, 4494, 1081, 1243, 4597, 3282, 1009, 1663, 1006, 5554, 1009, 1044, 4494, 1627, 2827, 13190, 1005, 3159, 1118, 5326, 9274, 4855, 2017, 10591, 1657, 1058, 9959, 3909, 10908, 1043, 22292, 3225, 1049, 7867, 21451, 8830, 25580, 1026, 4494, 1081, 1243, 1206, 2451, 4444, 3967, 1544, 1009, 3159, 4750, 1009, 5407, 1009, 1429, 77, 1273, 7412, 1644, 1024, 1072, 12102, 3151, 1009, 12486, 29603, 1049, 9663, 1031, 1382, 1006, 9478, 1068, 1006, 4701, 1049, 1073, 2565, 2271, 1048, 2374, 6865, 1188, 1072, 2803, 1049, 10591, 1005, 10151, 1140, 1006, 4751, 10599, 1318, 1298, 1058, 3194, 1024, 1118, 5168, 2035, 1009, 25513, 24304, 22573, 1054, 3113, 5, 21149, 1549, 17860, 1049, 17906, 6176, 1983, 1407, 1081, 1243, 2177, 14779, 1072, 3867, 8733, 22919, 3420, 1381, 5641, 8812, 1009, 25513, 20400, 1068, 2451, 1060, 8809, 5026, 2303, 1043, 1026, 10570, 1599, 1058, 1026, 2743, 1234, 4254, 1599, 5544, 16703, 1006, 12460, 1271, 4034, 1009, 2011, 1187, 19923, 21948, 1006, 6937, 1009, 3171, 5041, 13963, 1005, 1006, 6937, 1187, 7871, 1187, 23852, 1009, 8738, 1054, 2357, 3360, 1072, 5449, 3267, 1159, 1294, 4278, 1009, 17522, 12904, 39, 28277, 3931, 1049, 18420, 18, 1054, 2220, 1026, 5449, 11813, 11359, 5567, 1068, 1026, 1057, 6267, 5770, 1060, 5337, 1043, 6443, 18, 19824, 1005, 1006, 1681, 92, 2101, 1679, 4494, 1081, 1689, 16055, 6613, 1005, 3235, 10010, 1009, 23852, 1009, 19587, 1054, 5661, 1043, 5391, 4597, 5606, 1009, 9327, 5633, 1213, 18272, 16629, 3398, 13002, 1005, 1054, 14617, 25896, 1124, 4034, 1009, 1557, 1009, 5407, 1005, 1006, 3227, 1463, 15809, 4324, 24997, 1026, 6483, 1704, 2743, 1620, 1160, 1225, 3164, 1068, 1178, 5365, 1069, 2691, 27003, 1005, 1356, 31804, 1060, 4338, 1187, 17633, 6383, 2126, 1049, 1983, 1407, 1081, 1243, 29546, 9230, 5, 72, 2753, 41, 9063, 1121, 2632, 1439, 7505, 1684, 1021, 1662, 6091, 3180, 1220, 3457, 85, 1009, 1033, 11211, 1065, 6572, 8189, 27943, 5812, 1559, 6332, 58, 6699, 54, 20521, 43, 4066, 27943, 5812, 18122, 1127, 1418, 1271, 3505, 4323, 7706, 1578, 10137, 9699, 1175, 16473, 2830, 7222, 12131, 4494, 1081, 1243, 1005, 29887, 1348, 11492, 11160, 1412, 1026, 2742, 1109, 4494, 1081, 1243, 3482, 1081, 78, 1089, 1048, 11217, 14149, 2092, 20386, 8925, 1118, 1044, 1184, 2017, 21761, 2793, 1998, 1072, 2776, 4075, 1132, 9559, 27656, 13032, 31189, 23226, 1077, 1026, 6460, 1068, 1160, 26139, 1124, 1768, 3035, 3812, 1388, 1006, 2348, 1005, 1009, 8471, 1009, 4494, 1081, 1689, 16055, 6613, 5613, 1783, 1043, 3235, 13519, 1495, 12403, 1009, 20576, 1358, 1461, 1005, 12403, 1009, 6727, 1461, 5554, 1202, 17117, 4494, 1081, 1243, 16055, 5476, 1160, 19196, 3812, 1104, 1052, 1048, 1989, 1160, 2374, 1184, 1044, 12527, 1048, 1006, 19236, 9181, 2155, 8900, 1132, 10110, 1009, 1261, 1044, 20386, 1184, 2017, 15208, 1212, 14461, 64, 158, 5393, 6464, 1782, 10137, 9699, 1175, 17968, 8121, 1576, 2974, 1048, 2122, 2373, 3180, 1220, 1112, 1009, 13978, 626, 4597, 1026, 8208, 1009, 1009, 1135, 3386, 1124, 13003, 1009, 25513, 1005, 2827, 14363, 1048, 1826, 1215, 1606, 1435, 1132, 14769, 1333, 1271, 23985, 4525, 2987, 2092, 22491, 1309, 5082, 1047, 1178, 1989, 1026, 3489, 7, 3576, 75, 2781, 1006, 2306, 5759, 1026, 6483, 1048, 1598, 1889, 1006, 3940, 5848, 2377, 1212, 14461, 64, 158, 5393, 6464, 1782, 10137, 9699, 1175, 17968, 4943, 5168, 5765, 1009, 3940, 1068, 3371, 16055, 5476, 37, 3449, 1008, 3234, 1009, 14983, 7482, 7, 1603, 1026, 4494, 1081, 1243, 6224, 1054, 1044, 10591, 3960, 1068, 1044, 20386, 2017, 1005, 1043, 1026, 26253, 6097, 1069, 1118, 11623, 1520, 7332, 1009, 2220, 27553, 1026, 1023, 4039, 1160, 5115, 150, 6622, 1026, 31547, 2016, 17808, 2684, 2789, 1121, 14375, 1106, 16852, 2164, 22011, 1195, 1011, 2408, 1043, 1044, 1109, 1334, 2784, 1309, 1195, 12257, 1278, 20375, 1005, 3004, 1998, 1325, 1006, 3159, 1060, 16682, 22434, 1048, 1927, 11914, 1124, 3156, 1016, 1049, 2497, 7, 1073, 2300, 1046, 2497, 1946, 1714, 2170, 1114, 4556, 1026, 2497, 1946, 1714, 1096, 1998, 1068, 1132, 2987, 20006, 2255, 1068, 1857, 1048, 1327, 1132, 23597, 1026, 2497, 1096, 2306, 3112, 1609, 9613, 31547, 2271, 17311, 1009, 15608, 1100, 1159, 1086, 1599, 20696, 1273, 15548, 1021, 3335, 1008, 3123, 16732, 1005, 17496, 1679, 1048, 2444, 6510, 20, 1955, 19609, 37, 1180, 1065, 1810, 1009, 1044, 18574, 1060, 4999, 1100, 28367, 1049, 6615, 1009, 6203, 1005, 1009, 1734, 8471, 1009, 15450, 1009, 3028, 13289, 1704, 4494, 1081, 1243, 16055, 5476, 1048, 1006, 1751, 1184, 12895, 1927, 1195, 7725, 7368, 1043, 2220, 2446, 1009, 1240, 3131, 18, 2340, 1006, 1752, 1531, 1294, 15792, 1184, 23789, 1049, 11257, 1160, 4800, 10203, 1026, 26253, 5232, 2246, 1225, 85, 1009, 22437, 10477, 1068, 1294, 3786, 1024, 1005, 1159, 1160, 8677, 1721, 5454, 4319, 1009, 12952, 1026, 26253, 1679, 11623, 1520, 1544, 12403, 1009, 1094, 1963, 6284, 1305, 20386, 1005, 1305, 3759, 2037, 2340, 1857, 1048, 1054, 6404, 27779, 1005, 1011, 5920, 1327, 25076, 1005, 11198, 2502, 1357, 3811, 1068, 1294, 8038, 25506, 3230, 16055, 6613, 1620, 19412, 1751, 1060, 12947, 1511, 13466, 1508, 26253, 1118, 2073, 15689, 1461, 1005, 1026, 2742, 1009, 26253, 1009, 5606, 1043, 4410, 1048, 3048, 14801, 1132, 3156, 1554, 1603, 1160, 13466, 1508, 3592, 4560, 21283, 10543, 1261, 8587, 4034, 1009, 11718, 1009, 25513, 1005, 2827, 14363, 1335, 1229, 1309, 1049, 10882, 1048, 1006, 16682, 1058, 23192, 8677, 1657, 2373, 3247, 1753, 1010, 1006, 3159, 1049, 12403, 1049, 4244, 1771, 626, 1005, 20116, 7169, 2340, 1132, 22035, 1049, 4244, 1771, 2185, 1648, 31018, 4792, 7553, 1005, 28740, 1411, 3004, 1294, 1049, 1046, 1094, 15689, 1461, 1048, 1160, 15432, 1124, 6106, 5097, 3589, 2122, 4087, 5082, 2037, 1160, 2155, 5525, 2598, 2340, 8677, 25332, 1636, 2585, 1264, 2051, 1010, 5224, 1048, 1294, 11519, 1006, 3248, 9466, 1005, 2280, 19473, 2220, 2446, 1009, 1173, 7518, 1436, 1159, 1006, 6604, 2905, 1271, 8533, 1048, 1996, 1294, 6890, 1648, 7, 1084, 1992, 1006, 18856, 2155, 11213, 1077, 1005, 6718, 1118, 6544, 1049, 16055, 5476, 25461, 1089, 1048, 2653, 2373, 1040, 1310, 1480, 626, 1060, 2236, 1009, 23852, 3505, 1027, 2307, 1068, 2085, 1037, 1870, 1309, 1160, 1323, 4294, 1126, 2340, 1327, 1132, 1043, 23800, 2527, 6837, 1060, 13289, 5848, 2377, 19632, 3341, 91, 27616, 17403, 8260, 10137, 9699, 1175, 2475, 28064, 1467, 6929, 5626, 1566, 5756, 1989, 1592, 21354, 1005, 1160, 3765, 1054, 20218, 15278, 1177, 7470, 2155, 1178, 3879, 3424, 24601, 7470, 1643, 1044, 1298, 4347, 7470, 1381, 18, 1309, 13900, 20507, 2739, 6963, 2653, 11130, 1225, 7470, 1011, 11969, 1068, 2997, 1325, 10367, 18, 26143, 1009, 4560, 20766, 7088, 1059, 20, 15278, 1177, 7470, 1026, 10591, 2177, 1009, 5066, 1229, 7470, 2598, 29687, 20, 12151, 24982, 1132, 3398, 30579, 15343, 5139, 1160, 2374, 1998, 1068, 1989, 5098, 1058, 5501, 1054, 17360, 18, 1043, 1006, 7898, 1009, 3062, 1114, 3349, 2071, 1054, 25712, 1592, 1026, 2743, 1160, 1847, 4254, 2270, 2013, 4417, 1989, 2743, 1475, 3144, 4223, 14199, 4918, 3987, 1472, 15208, 19632, 10664, 4414, 30757, 3642, 1123, 8192, 9671, 8260, 10137, 9699, 1175, 12150, 2944, 1797, 59, 3107, 9435, 7759, 1180, 39, 22964, 10274, 9020, 1084, 3920, 43, 21238, 20471, 0, 1106, 2606, 15193, 3083, 3726, 1138, 25995, 51, 10014, 23218, 1082, 25369, 15380, 2545, 2818, 1205, 43, 135, 41, 5356, 2428, 2457, 1106, 26626, 2428, 1256, 675, 1611, 5394, 22163, 4233, 20252, 2818, 1063, 30074, 13800, 130, 2545, 0, 30211, 4071, 1163, 11365, 11076, 1144, 4212, 2013, 5462, 23552, 53, 4772, 3831, 18797, 4503, 19295, 1138, 1062, 3776, 20785, 3924, 1063, 9835, 6996, 19295, 1063, 27340, 2713, 56, 19094, 30211, 3776, 11136, 11893, 2805, 5763, 16331, 15380, 2164, 1256, 1084, 1134, 3776, 3710, 1062, 13096, 1205, 29356, 19756, 5394, 57, 31540, 6996, 124, 23272, 1256, 1082, 31124, 29229, 3107, 9435, 1144, 9283, 39, 1207, 21402, 2998, 1134, 2393, 3831, 1205, 4186, 10717, 1128, 39, 13702, 5794, 53, 2818, 23033, 130, 2545, 2818, 23200, 27154, 12175, 11076, 1144, 4212, 9816, 56, 2805, 46, 3402, 2555, 4212, 1256, 2124, 54, 21270, 2982, 30211, 4071, 13076, 25196, 4826, 3402, 1084, 15132, 6764, 6445, 5250, 2818, 1073, 7567, 2053, 20, 15208, 19632, 18515, 1027, 10974, 1142, 1350, 5311, 8277, 8260, 10137, 9699, 1175, 10916, 24617, 1467, 3969, 1989, 2743, 1009, 1807, 18019, 18, 1058, 1132, 7769, 1009, 10200, 28677, 4961, 1006, 6386, 1072, 5407, 1009, 7747, 1072, 1561, 25208, 1680, 16015, 9663, 2402, 1318, 1006, 1028, 3247, 1087, 1149, 1318, 1094, 4022, 1712, 1114, 2926, 1005, 3227, 1187, 4494, 1081, 5425, 5956, 1048, 6105, 1318, 2837, 1044, 2743, 1009, 3940, 1048, 2693, 1472, 1048, 1026, 4494, 1081, 1243, 4386, 1993, 1044, 26253, 4219, 5822, 1069, 1044, 2161, 16074, 14895, 1068, 3156, 11448, 1044, 2631, 4367, 1009, 2926, 1160, 1998, 1068, 1026, 4494, 1081, 1243, 1309, 1962, 1456, 10624, 1318, 1048, 8619, 1054, 2573, 30827, 1006, 2922, 1009, 1456, 1249, 3461, 1206, 1249, 8538, 15208, 19632, 15844, 1087, 1047, 10767, 9842, 10137, 9699, 1175, 15433, 4994, 4354, 2631, 2743, 1503, 5956, 1048, 1294, 1155, 2359, 6613, 28823, 1294, 13834, 1024, 1800, 1159, 1132, 3786, 1573, 3230, 4278, 1009, 26143, 1009, 1054, 9010, 10222, 19632, 1467, 10093, 62, 57, 15523, 3831, 9842, 10137, 9699, 1175, 15433, 2721, 21216, 6242, 1026, 26808, 13736, 1687, 9120, 1009, 1058, 4883, 1044, 4494, 1627, 1206, 2374, 2306, 1160, 1225, 20386, 1160, 12974, 3098, 23234, 3225, 2054, 7096, 13032, 4619, 4883, 1005, 1160, 12974, 2246, 2088, 2283, 24118, 7470, 1998, 2909, 3098, 1034, 8934, 1068, 2306, 1566, 1225, 20386, 1072, 10840, 3124, 17810, 8342, 28200, 1026, 14810, 1298, 25231, 1094, 4494, 20368, 1009, 1360, 1910, 1005, 1160, 12974, 25231, 1044, 20386, 1009, 3114, 1910, 2124, 1117, 1077, 1048, 1026, 1009, 3114, 1910, 1005, 1962, 3371, 1006, 2409, 8499, 1006, 5337, 675, 15208, 19632, 17612, 3025, 11396, 1009, 12206, 9842, 10137, 9699, 1175, 1578, 27562, 1467, 1050, 9536, 1005, 1048, 1026, 20386, 1005, 4494, 1081, 1689, 1160, 1298, 1068, 5793, 3036, 6082, 1381, 3192, 1962, 31938, 1117, 6311, 1993, 1124, 28782, 2370, 2289, 2177, 1853, 15208, 19632, 3341, 2428, 43, 31439, 60, 15380, 11734, 23497, 2818, 1134, 3776, 4503, 2545, 9842, 10137, 9699, 1175, 14940, 4673, 5, 1774, 30317, 2743, 1256, 2018, 11266, 1213, 6483, 0, 10222, 19632, 1797, 1226, 4870, 9162, 1285, 1551, 12206, 9842, 10137, 9699, 1175, 14115, 8037, 5919, 1295, 1132, 3786, 1573, 1225, 6937, 20, 75, 4494, 1081, 1689, 11281, 37, 6062, 1106, 16852, 57, 1135, 1005, 2631, 1962, 7340, 3453, 1962, 7769, 1064, 10299, 1940, 1017, 2781, 5453, 6914, 30531, 1302, 1075, 1147, 1005, 16266, 4805, 1340, 1925, 1256, 26691, 4883, 2318, 1020, 1072, 1020, 4494, 1081, 1689, 6914, 12677, 4319, 7788, 1256, 92, 1214, 3552, 1376, 89, 13524, 1461, 1005, 9047, 6914, 3294, 1395, 24945, 1027, 1048, 3048, 4337, 5816, 10222, 19632, 2503, 23795, 1009, 7706, 12113, 9842, 10137, 9699, 1175, 2523, 29435, 7985, 3593, 26537, 5386, 1989, 2743, 1009, 3940, 20, 11026, 1566, 1837, 4874, 1009, 10591, 1049, 1106, 16852, 2164, 1048, 1327, 8183, 19236, 29814, 1009, 4207, 3447, 1312, 1005, 1054, 3179, 2252, 3918, 1837, 1044, 30654, 1048, 11359, 1044, 20366, 1322, 1026, 2161, 20, 7496, 1009, 1015, 1255, 1171, 1206, 1009, 4099, 1342, 1068, 21883, 1026, 10591, 20, 4501, 27867, 1463, 10873, 19517, 1048, 1068, 1044, 16055, 5476, 1327, 1054, 3179, 25065, 1009, 1240, 1491, 6665, 2445, 1704, 1048, 1096, 7296, 1592, 1096, 1044, 2303, 1831, 1114, 6937, 1049, 2161, 1187, 17317, 9680, 1043, 6937, 1009, 11361, 1118, 1751, 1049, 2671, 1005, 1009, 11911, 1009, 3510, 7332, 1005, 14919, 1222, 1136, 12316, 11026, 1058, 14779, 1054, 1044, 20386, 9798, 3084, 1305, 2827, 13190, 1026, 2161, 1054, 4612, 1009, 11774, 1910, 1206, 1184, 1005, 3048, 1068, 3969, 1295, 3312, 1243, 1225, 20, 4567 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6613, 1005, 15654, 1048, 6583, 1657, 1044, 20386, 1704, 2743, 2566, 5604, 1006, 14608, 1009, 31547, 10245, 1118, 2191, 1049, 7674, 2769, 1009, 7846, 25232, 1005, 5170, 4045, 16852, 2164, 1349, 1068, 5554, 1009, 25513, 1005, 5433, 1229, 1118, 19923, 16055, 6613, 1005, 3235, 10010, 1009, 23852, 1009, 19587, 6889, 2303, 1043, 1026, 11797, 1048, 1620, 11720, 14686, 1698, 1114, 4338, 1187, 10570, 2585, 2177, 3098, 2408, 1495, 15312, 11, 1049, 2161, 3225, 1049, 20386, 1005, 2827, 13190, 9270, 2647, 2271, 1048, 2374, 13438, 1043, 10963, 1005, 19410, 17671, 1896, 1357, 10944, 71, 1067, 6372, 18, 3004, 1054, 1307, 11, 1213, 1901, 4441, 19923, 1048, 3768, 3493, 1026, 14566, 9870, 2224, 3952, 1009, 1429, 1272, 1005, 1495, 10706, 3952, 1068, 2533, 3144, 3423, 1060, 5554, 1009, 25513, 1005, 5433, 1229, 1026, 10591, 1318, 4291, 1345, 29171, 1006, 5554, 1009, 5061, 1009, 9030, 3784, 7079, 1049, 7867, 1005, 7079, 3967, 1046, 1291, 2904, 1140, 4494, 1081, 1243, 4597, 3282, 1009, 1663, 1006, 5554, 1009, 1044, 4494, 1627, 2827, 13190, 1005, 3159, 1118, 5326, 9274, 4855, 2017, 10591, 1657, 1058, 9959, 3909, 10908, 1043, 22292, 3225, 1049, 7867, 21451, 8830, 25580, 1026, 4494, 1081, 1243, 1206, 2451, 4444, 3967, 1544, 1009, 3159, 4750, 1009, 5407, 1009, 1429, 77, 1273, 7412, 1644, 1024, 1072, 12102, 3151, 1009, 12486, 29603, 1049, 9663, 1031, 1382, 1006, 9478, 1068, 1006, 4701, 1049, 1073, 2565, 2271, 1048, 2374, 6865, 1188, 1072, 2803, 1049, 10591, 1005, 10151, 1140, 1006, 4751, 10599, 1318, 1298, 1058, 3194, 1024, 1118, 5168, 2035, 1009, 25513, 24304, 22573, 1054, 3113, 5, 21149, 1549, 17860, 1049, 17906, 6176, 1983, 1407, 1081, 1243, 2177, 14779, 1072, 3867, 8733, 22919, 3420, 1381, 5641, 8812, 1009, 25513, 20400, 1068, 2451, 1060, 8809, 5026, 2303, 1043, 1026, 10570, 1599, 1058, 1026, 2743, 1234, 4254, 1599, 5544, 16703, 1006, 12460, 1271, 4034, 1009, 2011, 1187, 19923, 21948, 1006, 6937, 1009, 3171, 5041, 13963, 1005, 1006, 6937, 1187, 7871, 1187, 23852, 1009, 8738, 1054, 2357, 3360, 1072, 5449, 3267, 1159, 1294, 4278, 1009, 17522, 12904, 39, 28277, 3931, 1049, 18420, 18, 1054, 2220, 1026, 5449, 11813, 11359, 5567, 1068, 1026, 1057, 6267, 5770, 1060, 5337, 1043, 6443, 18, 19824, 1005, 1006, 1681, 92, 2101, 1679, 4494, 1081, 1689, 16055, 6613, 1005, 3235, 10010, 1009, 23852, 1009, 19587, 1054, 5661, 1043, 5391, 4597, 5606, 1009, 9327, 5633, 1213, 18272, 16629, 3398, 13002, 1005, 1054, 14617, 25896, 1124, 4034, 1009, 1557, 1009, 5407, 1005, 1006, 3227, 1463, 15809, 4324, 24997, 1026, 6483, 1704, 2743, 1620, 1160, 1225, 3164, 1068, 1178, 5365, 1069, 2691, 27003, 1005, 1356, 31804, 1060, 4338, 1187, 17633, 6383, 2126, 1049, 1983, 1407, 1081, 1243, 29546, 9230, 5, 72, 2753, 41, 9063, 1121, 2632, 1439, 7505, 1684, 1021, 1662, 6091, 3180, 1220, 3457, 85, 1009, 1033, 11211, 1065, 6572, 8189, 27943, 5812, 1559, 6332, 58, 6699, 54, 20521, 43, 4066, 27943, 5812, 18122, 1127, 1418, 1271, 3505, 4323, 7706, 1578, 10137, 9699, 1175, 16473, 2830, 7222, 12131, 4494, 1081, 1243, 1005, 29887, 1348, 11492, 11160, 1412, 1026, 2742, 1109, 4494, 1081, 1243, 3482, 1081, 78, 1089, 1048, 11217, 14149, 2092, 20386, 8925, 1118, 1044, 1184, 2017, 21761, 2793, 1998, 1072, 2776, 4075, 1132, 9559, 27656, 13032, 31189, 23226, 1077, 1026, 6460, 1068, 1160, 26139, 1124, 1768, 3035, 3812, 1388, 1006, 2348, 1005, 1009, 8471, 1009, 4494, 1081, 1689, 16055, 6613, 5613, 1783, 1043, 3235, 13519, 1495, 12403, 1009, 20576, 1358, 1461, 1005, 12403, 1009, 6727, 1461, 5554, 1202, 17117, 4494, 1081, 1243, 16055, 5476, 1160, 19196, 3812, 1104, 1052, 1048, 1989, 1160, 2374, 1184, 1044, 12527, 1048, 1006, 19236, 9181, 2155, 8900, 1132, 10110, 1009, 1261, 1044, 20386, 1184, 2017, 15208, 1212, 14461, 64, 158, 5393, 6464, 1782, 10137, 9699, 1175, 17968, 8121, 1576, 2974, 1048, 2122, 2373, 3180, 1220, 1112, 1009, 13978, 626, 4597, 1026, 8208, 1009, 1009, 1135, 3386, 1124, 13003, 1009, 25513, 1005, 2827, 14363, 1048, 1826, 1215, 1606, 1435, 1132, 14769, 1333, 1271, 23985, 4525, 2987, 2092, 22491, 1309, 5082, 1047, 1178, 1989, 1026, 3489, 7, 3576, 75, 2781, 1006, 2306, 5759, 1026, 6483, 1048, 1598, 1889, 1006, 3940, 5848, 2377, 1212, 14461, 64, 158, 5393, 6464, 1782, 10137, 9699, 1175, 17968, 4943, 5168, 5765, 1009, 3940, 1068, 3371, 16055, 5476, 37, 3449, 1008, 3234, 1009, 14983, 7482, 7, 1603, 1026, 4494, 1081, 1243, 6224, 1054, 1044, 10591, 3960, 1068, 1044, 20386, 2017, 1005, 1043, 1026, 26253, 6097, 1069, 1118, 11623, 1520, 7332, 1009, 2220, 27553, 1026, 1023, 4039, 1160, 5115, 150, 6622, 1026, 31547, 2016, 17808, 2684, 2789, 1121, 14375, 1106, 16852, 2164, 22011, 1195, 1011, 2408, 1043, 1044, 1109, 1334, 2784, 1309, 1195, 12257, 1278, 20375, 1005, 3004, 1998, 1325, 1006, 3159, 1060, 16682, 22434, 1048, 1927, 11914, 1124, 3156, 1016, 1049, 2497, 7, 1073, 2300, 1046, 2497, 1946, 1714, 2170, 1114, 4556, 1026, 2497, 1946, 1714, 1096, 1998, 1068, 1132, 2987, 20006, 2255, 1068, 1857, 1048, 1327, 1132, 23597, 1026, 2497, 1096, 2306, 3112, 1609, 9613, 31547, 2271, 17311, 1009, 15608, 1100, 1159, 1086, 1599, 20696, 1273, 15548, 1021, 3335, 1008, 3123, 16732, 1005, 17496, 1679, 1048, 2444, 6510, 20, 1955, 19609, 37, 1180, 1065, 1810, 1009, 1044, 18574, 1060, 4999, 1100, 28367, 1049, 6615, 1009, 6203, 1005, 1009, 1734, 8471, 1009, 15450, 1009, 3028, 13289, 1704, 4494, 1081, 1243, 16055, 5476, 1048, 1006, 1751, 1184, 12895, 1927, 1195, 7725, 7368, 1043, 2220, 2446, 1009, 1240, 3131, 18, 2340, 1006, 1752, 1531, 1294, 15792, 1184, 23789, 1049, 11257, 1160, 4800, 10203, 1026, 26253, 5232, 2246, 1225, 85, 1009, 22437, 10477, 1068, 1294, 3786, 1024, 1005, 1159, 1160, 8677, 1721, 5454, 4319, 1009, 12952, 1026, 26253, 1679, 11623, 1520, 1544, 12403, 1009, 1094, 1963, 6284, 1305, 20386, 1005, 1305, 3759, 2037, 2340, 1857, 1048, 1054, 6404, 27779, 1005, 1011, 5920, 1327, 25076, 1005, 11198, 2502, 1357, 3811, 1068, 1294, 8038, 25506, 3230, 16055, 6613, 1620, 19412, 1751, 1060, 12947, 1511, 13466, 1508, 26253, 1118, 2073, 15689, 1461, 1005, 1026, 2742, 1009, 26253, 1009, 5606, 1043, 4410, 1048, 3048, 14801, 1132, 3156, 1554, 1603, 1160, 13466, 1508, 3592, 4560, 21283, 10543, 1261, 8587, 4034, 1009, 11718, 1009, 25513, 1005, 2827, 14363, 1335, 1229, 1309, 1049, 10882, 1048, 1006, 16682, 1058, 23192, 8677, 1657, 2373, 3247, 1753, 1010, 1006, 3159, 1049, 12403, 1049, 4244, 1771, 626, 1005, 20116, 7169, 2340, 1132, 22035, 1049, 4244, 1771, 2185, 1648, 31018, 4792, 7553, 1005, 28740, 1411, 3004, 1294, 1049, 1046, 1094, 15689, 1461, 1048, 1160, 15432, 1124, 6106, 5097, 3589, 2122, 4087, 5082, 2037, 1160, 2155, 5525, 2598, 2340, 8677, 25332, 1636, 2585, 1264, 2051, 1010, 5224, 1048, 1294, 11519, 1006, 3248, 9466, 1005, 2280, 19473, 2220, 2446, 1009, 1173, 7518, 1436, 1159, 1006, 6604, 2905, 1271, 8533, 1048, 1996, 1294, 6890, 1648, 7, 1084, 1992, 1006, 18856, 2155, 11213, 1077, 1005, 6718, 1118, 6544, 1049, 16055, 5476, 25461, 1089, 1048, 2653, 2373, 1040, 1310, 1480, 626, 1060, 2236, 1009, 23852, 3505, 1027, 2307, 1068, 2085, 1037, 1870, 1309, 1160, 1323, 4294, 1126, 2340, 1327, 1132, 1043, 23800, 2527, 6837, 1060, 13289, 5848, 2377, 19632, 3341, 91, 27616, 17403, 8260, 10137, 9699, 1175, 2475, 28064, 1467, 6929, 5626, 1566, 5756, 1989, 1592, 21354, 1005, 1160, 3765, 1054, 20218, 15278, 1177, 7470, 2155, 1178, 3879, 3424, 24601, 7470, 1643, 1044, 1298, 4347, 7470, 1381, 18, 1309, 13900, 20507, 2739, 6963, 2653, 11130, 1225, 7470, 1011, 11969, 1068, 2997, 1325, 10367, 18, 26143, 1009, 4560, 20766, 7088, 1059, 20, 15278, 1177, 7470, 1026, 10591, 2177, 1009, 5066, 1229, 7470, 2598, 29687, 20, 12151, 24982, 1132, 3398, 30579, 15343, 5139, 1160, 2374, 1998, 1068, 1989, 5098, 1058, 5501, 1054, 17360, 18, 1043, 1006, 7898, 1009, 3062, 1114, 3349, 2071, 1054, 25712, 1592, 1026, 2743, 1160, 1847, 4254, 2270, 2013, 4417, 1989, 2743, 1475, 3144, 4223, 14199, 4918, 3987, 1472, 15208, 19632, 10664, 4414, 30757, 3642, 1123, 8192, 9671, 8260, 10137, 9699, 1175, 12150, 2944, 1797, 59, 3107, 9435, 7759, 1180, 39, 22964, 10274, 9020, 1084, 3920, 43, 21238, 20471, 0, 1106, 2606, 15193, 3083, 3726, 1138, 25995, 51, 10014, 23218, 1082, 25369, 15380, 2545, 2818, 1205, 43, 135, 41, 5356, 2428, 2457, 1106, 26626, 2428, 1256, 675, 1611, 5394, 22163, 4233, 20252, 2818, 1063, 30074, 13800, 130, 2545, 0, 30211, 4071, 1163, 11365, 11076, 1144, 4212, 2013, 5462, 23552, 53, 4772, 3831, 18797, 4503, 19295, 1138, 1062, 3776, 20785, 3924, 1063, 9835, 6996, 19295, 1063, 27340, 2713, 56, 19094, 30211, 3776, 11136, 11893, 2805, 5763, 16331, 15380, 2164, 1256, 1084, 1134, 3776, 3710, 1062, 13096, 1205, 29356, 19756, 5394, 57, 31540, 6996, 124, 23272, 1256, 1082, 31124, 29229, 3107, 9435, 1144, 9283, 39, 1207, 21402, 2998, 1134, 2393, 3831, 1205, 4186, 10717, 1128, 39, 13702, 5794, 53, 2818, 23033, 130, 2545, 2818, 23200, 27154, 12175, 11076, 1144, 4212, 9816, 56, 2805, 46, 3402, 2555, 4212, 1256, 2124, 54, 21270, 2982, 30211, 4071, 13076, 25196, 4826, 3402, 1084, 15132, 6764, 6445, 5250, 2818, 1073, 7567, 2053, 20, 15208, 19632, 18515, 1027, 10974, 1142, 1350, 5311, 8277, 8260, 10137, 9699, 1175, 10916, 24617, 1467, 3969, 1989, 2743, 1009, 1807, 18019, 18, 1058, 1132, 7769, 1009, 10200, 28677, 4961, 1006, 6386, 1072, 5407, 1009, 7747, 1072, 1561, 25208, 1680, 16015, 9663, 2402, 1318, 1006, 1028, 3247, 1087, 1149, 1318, 1094, 4022, 1712, 1114, 2926, 1005, 3227, 1187, 4494, 1081, 5425, 5956, 1048, 6105, 1318, 2837, 1044, 2743, 1009, 3940, 1048, 2693, 1472, 1048, 1026, 4494, 1081, 1243, 4386, 1993, 1044, 26253, 4219, 5822, 1069, 1044, 2161, 16074, 14895, 1068, 3156, 11448, 1044, 2631, 4367, 1009, 2926, 1160, 1998, 1068, 1026, 4494, 1081, 1243, 1309, 1962, 1456, 10624, 1318, 1048, 8619, 1054, 2573, 30827, 1006, 2922, 1009, 1456, 1249, 3461, 1206, 1249, 8538, 15208, 19632, 15844, 1087, 1047, 10767, 9842, 10137, 9699, 1175, 15433, 4994, 4354, 2631, 2743, 1503, 5956, 1048, 1294, 1155, 2359, 6613, 28823, 1294, 13834, 1024, 1800, 1159, 1132, 3786, 1573, 3230, 4278, 1009, 26143, 1009, 1054, 9010, 10222, 19632, 1467, 10093, 62, 57, 15523, 3831, 9842, 10137, 9699, 1175, 15433, 2721, 21216, 6242, 1026, 26808, 13736, 1687, 9120, 1009, 1058, 4883, 1044, 4494, 1627, 1206, 2374, 2306, 1160, 1225, 20386, 1160, 12974, 3098, 23234, 3225, 2054, 7096, 13032, 4619, 4883, 1005, 1160, 12974, 2246, 2088, 2283, 24118, 7470, 1998, 2909, 3098, 1034, 8934, 1068, 2306, 1566, 1225, 20386, 1072, 10840, 3124, 17810, 8342, 28200, 1026, 14810, 1298, 25231, 1094, 4494, 20368, 1009, 1360, 1910, 1005, 1160, 12974, 25231, 1044, 20386, 1009, 3114, 1910, 2124, 1117, 1077, 1048, 1026, 1009, 3114, 1910, 1005, 1962, 3371, 1006, 2409, 8499, 1006, 5337, 675, 15208, 19632, 17612, 3025, 11396, 1009, 12206, 9842, 10137, 9699, 1175, 1578, 27562, 1467, 1050, 9536, 1005, 1048, 1026, 20386, 1005, 4494, 1081, 1689, 1160, 1298, 1068, 5793, 3036, 6082, 1381, 3192, 1962, 31938, 1117, 6311, 1993, 1124, 28782, 2370, 2289, 2177, 1853, 15208, 19632, 3341, 2428, 43, 31439, 60, 15380, 11734, 23497, 2818, 1134, 3776, 4503, 2545, 9842, 10137, 9699, 1175, 14940, 4673, 5, 1774, 30317, 2743, 1256, 2018, 11266, 1213, 6483, 0, 10222, 19632, 1797, 1226, 4870, 9162, 1285, 1551, 12206, 9842, 10137, 9699, 1175, 14115, 8037, 5919, 1295, 1132, 3786, 1573, 1225, 6937, 20, 75, 4494, 1081, 1689, 11281, 37, 6062, 1106, 16852, 57, 1135, 1005, 2631, 1962, 7340, 3453, 1962, 7769, 1064, 10299, 1940, 1017, 2781, 5453, 6914, 30531, 1302, 1075, 1147, 1005, 16266, 4805, 1340, 1925, 1256, 26691, 4883, 2318, 1020, 1072, 1020, 4494, 1081, 1689, 6914, 12677, 4319, 7788, 1256, 92, 1214, 3552, 1376, 89, 13524, 1461, 1005, 9047, 6914, 3294, 1395, 24945, 1027, 1048, 3048, 4337, 5816, 10222, 19632, 2503, 23795, 1009, 7706, 12113, 9842, 10137, 9699, 1175, 2523, 29435, 7985, 3593, 26537, 5386, 1989, 2743, 1009, 3940, 20, 11026, 1566, 1837, 4874, 1009, 10591, 1049, 1106, 16852, 2164, 1048, 1327, 8183, 19236, 29814, 1009, 4207, 3447, 1312, 1005, 1054, 3179, 2252, 3918, 1837, 1044, 30654, 1048, 11359, 1044, 20366, 1322, 1026, 2161, 20, 7496, 1009, 1015, 1255, 1171, 1206, 1009, 4099, 1342, 1068, 21883, 1026, 10591, 20, 4501, 27867, 1463, 10873, 19517, 1048, 1068, 1044, 16055, 5476, 1327, 1054, 3179, 25065, 1009, 1240, 1491, 6665, 2445, 1704, 1048, 1096, 7296, 1592, 1096, 1044, 2303, 1831, 1114, 6937, 1049, 2161, 1187, 17317, 9680, 1043, 6937, 1009, 11361, 1118, 1751, 1049, 2671, 1005, 1009, 11911, 1009, 3510, 7332, 1005, 14919, 1222, 1136, 12316, 11026, 1058, 14779, 1054, 1044, 20386, 9798, 3084, 1305, 2827, 13190, 1026, 2161, 1054, 4612, 1009, 11774, 1910, 1206, 1184, 1005, 3048, 1068, 3969, 1295, 3312, 1243, 1225, 20, 4567 ]

[ 1006, 20292, 8, 1005, 2909, 1859, 1684, 13097, 1961, 1118, 13907, 1441, 1637, 8406, 2464, 1006, 1235, 11304, 28391, 1327, 2296, 13764, 1213, 5762, 1009, 17375, 3622, 2100, 14326, 1375, 71, 1072, 1235, 7793, 1124, 4816, 1322, 1026, 6490, 16914, 1005, 12439, 20585, 32, 24395, 6417, 1005, 4203, 33, 15258, 1068, 4571, 1708, 3375, 11664, 1157, 1715, 5552, 5261, 17466, 1349, 1026, 4813, 8450, 16252, 1079, 1114, 5829, 1026, 5975, 1009, 4375, 13425, 12997, 1072, 2318, 2402, 1009, 1094, 8274, 8522, 1717, 23139, 2796, 95, 1916, 1144, 7149, 1006, 15727, 1252, 2165, 20956, 1111, 9010, 10522, 1009, 1098, 80, 18421, 1717, 12652, 2999, 1005, 1009, 7732, 1485, 1031, 1930, 19840, 1130, 1206, 1455, 1698, 1006, 20596, 1206, 26067, 1009, 1543, 2731, 26063, 20589, 1411, 9403, 1206, 5144, 1272, 3267, 2100, 8, 132, 2481, 16529, 2464, 1098, 1193, 1042, 1526, 8181, 1213, 2671, 4444, 1098, 27310, 1233, 7945, 3980, 1411, 8528, 23139, 2796, 3814, 9793, 1079, 1132, 8654, 1060, 6685, 1009, 5431, 1627, 1409, 29203, 1006, 20292, 1005, 1026, 2349, 2678, 1049, 17553, 1049, 11169, 11132, 12474, 1026, 10008, 1060, 7922, 1406, 1919, 11536, 1060, 5710, 25707, 1356, 24787, 1009, 5829, 5569, 3777, 1342, 1060, 10605, 1377, 4634, 23139, 2796, 3814, 1195, 6483, 1118, 1791, 28409, 1356, 6307, 4562, 5705, 15720, 1006, 2323, 1009, 15502, 1482, 7267, 1264, 29167, 1009, 5593, 8894, 1068, 1094, 5994, 21966, 14992, 16949, 1048, 2661, 1199, 1005, 6303, 5392, 1049, 1561, 3172, 6192, 1213, 1908, 3057, 1901, 1005, 7062, 1043, 10790, 2645, 13986, 1054, 30193, 1138, 2670, 6303, 2997, 1044, 5333, 1213, 4472, 1131, 27184, 1114, 6338, 1009, 11906, 1049, 12694, 31608, 1356, 6721, 2434, 26592, 1377, 2494, 3757, 20247, 1072, 2268, 1073, 8499, 4979, 1213, 25715, 1048, 1837, 1006, 5579, 1009, 23139, 2796, 3814, 14368, 1026, 12694, 1309, 1048, 4697, 15474, 1195, 1642, 9561, 23139, 2796, 3814, 18374, 1118, 2191, 1009, 1224, 26316, 1411, 1048, 1160, 3326, 1461, 1026, 6976, 1118, 2097, 20, 1, 1138, 14476, 7234, 18, 3202, 1009, 16848, 7604, 15335, 1213, 4618, 1009, 1011, 151, 5619, 1074, 1049, 8620, 1043, 4278, 1566, 4814, 1166, 1009, 3245, 2489, 3225, 1009, 13021, 17789, 1318, 1298, 1178, 7048, 1068, 2089, 4034, 3375, 1793, 1573, 4538, 1046, 1058, 1006, 4639, 1096, 9279, 1068, 15427, 1717, 1124, 7104, 1064, 11208, 3662, 24532, 2446, 1083, 1005, 22183, 1118, 2121, 6505, 1365, 2089, 1048, 1826, 1114, 20447, 1009, 12094, 6301, 23952, 3702, 2802, 4255, 2106, 1620, 1327, 7085, 5048, 9340, 4682, 17161, 1048, 23409, 1508, 1657, 1072, 8368, 1068, 10541, 1026, 4957, 7012, 5856, 11795, 17987, 1406, 18727, 1975, 12094, 1060, 2828, 1009, 18368, 9201, 1294, 4620, 7205, 4571, 1046, 1044, 2859, 6342, 3068, 4886, 20008, 15, 1114, 5623, 17322, 1048, 1268, 3645, 1124, 3145, 15249, 14396, 1566, 6626, 1322, 1026, 14476, 7234, 2338, 3202, 1096, 6934, 1054, 7682, 1132, 27755, 3499, 1478, 1128, 18, 7875, 1049, 2380, 9821, 1324, 1068, 16012, 10343, 1026, 1048, 3865, 1006, 28854, 1482, 25228, 3530, 27755, 3499, 1478, 1327, 6604, 2502, 1049, 8590, 18, 10627, 1118, 22240, 21166, 1068, 16012, 1124, 7875, 18431, 1233, 5946, 2170, 1118, 6781, 1327, 7028, 1166, 1072, 5038, 1667, 26099, 24695, 1072, 1561, 1068, 1511, 1160, 4548, 2089, 4270, 15379, 1026, 14476, 7234, 2569, 3770, 17804, 1054, 1011, 151, 5619, 1074, 22131, 1229, 1159, 27755, 4852, 1005, 16791, 4569, 2275, 1972, 1132, 13021, 1888, 9779, 3607, 1006, 4639, 1160, 20552, 6030, 26323, 1309, 1026, 3311, 1318, 1096, 3820, 1009, 4538, 3803, 22875, 5364, 16532, 5480, 1009, 12002, 2122, 21651, 1187, 1011, 151, 5619, 1074, 9779, 7425, 2584, 8545, 1096, 1118, 22399, 1024, 1132, 27755, 3499, 1478, 1128, 3212, 3500, 1114, 2413, 1049, 13021, 2212, 7845, 1026, 2859, 6342, 1114, 17322, 20, 3782, 2246, 1094, 1271, 8272, 1049, 14476, 7234, 1068, 1132, 1011, 151, 5619, 1074, 29244, 1327, 1124, 20525, 14139, 1048, 4548, 1463, 5852, 5473, 13021, 1888, 20, 4116, 22399, 1024, 1124, 7875, 5232, 5645, 10909, 1298, 1178, 1048, 1356, 2444, 2122, 9120, 2374, 6419, 1196, 2338, 1048, 4292, 1495, 2276, 1327, 10486, 11810, 1049, 2490, 1060, 18610, 1068, 2089, 7692, 2247, 1187, 1011, 151, 5619, 1074, 22131, 1554, 2858, 5473, 6824, 1009, 4545, 1620, 7085, 1102, 1096, 1271, 7692, 6003, 1053, 1146, 2223, 2366, 4545, 1009, 6391, 4538, 1079, 1026, 5654, 1049, 14476, 7234, 1054, 3251, 7213, 1043, 1064, 11208, 9039, 1482, 1664, 1132, 3251, 18, 5756, 1057, 15616, 1271, 7875, 14476, 7234, 18, 1213, 1592, 1557, 1054, 1048, 5687, 1026, 3603, 1271, 7875, 1106, 1479, 3352, 1327, 18431, 1726, 15070, 1394, 3249, 1312, 1463, 1783, 1043, 1006, 6758, 20, 1766, 3251, 7213, 13728, 1009, 5593, 1132, 10880, 1005, 1596, 9943, 1054, 3245, 2489, 3038, 15037, 71, 4661, 1043, 675, 9962, 1318, 14407, 1044, 5654, 10492, 1049, 14476, 7234, 1072, 3603, 1005, 1114, 11447, 1049, 1064, 11208, 9039, 9528, 1118, 28639, 1124, 2266, 1620, 1327, 1448, 1265, 1728, 15888, 16103, 4029, 1005, 13490, 1009, 2729, 5633, 3775, 7979, 1068, 1319, 1843, 3749, 1058, 1006, 9425, 1060, 5946, 1096, 24295, 1206, 23538, 1629, 1406, 18727, 1040, 1132, 7938, 1049, 2859, 20, 4634, 13187, 7858, 1009, 4618, 1049, 14476, 7234, 1072, 3428, 1009, 7692, 6003, 1053, 10614, 1096, 1006, 1124, 24814, 2858, 2859, 3249, 3205, 1054, 1791, 4440, 18277, 1009, 18725, 1048, 1006, 4639, 1009, 7875, 15922, 1312, 9241, 1068, 7904, 1717, 8332, 1124, 83, 1653, 5345, 1063, 11447, 18, 1213, 1048, 3449, 18, 1195, 16844, 10376, 1294, 1080, 2628, 1554, 25338, 1068, 1026, 24532, 2446, 3646, 1048, 1318, 6224, 1072, 8667, 1009, 20204, 6003, 1053, 1146, 1400, 1837, 2350, 11810, 15652, 1044, 2481, 5654, 10492, 1049, 14476, 7234, 20, 1482, 5364, 1043, 16163, 1229, 1195, 4947, 1048, 1124, 7875, 15922, 1312, 1068, 1989, 2822, 2569, 9705, 1043, 1006, 11447, 1060, 5946, 1294, 5513, 4283, 5166, 13618, 1575, 5345, 1424, 1026, 4248, 1072, 2268, 1026, 5654, 10492, 18560, 1711, 1036, 3550, 2389, 1009, 1048, 6119, 1160, 9545, 25868, 1187, 5726, 8127, 1271, 7692, 6003, 1053, 1146, 1400, 15249, 1566, 4548, 1322, 1026, 14476, 7234, 1072, 2535, 1009, 14293, 17460, 3316, 8545, 1096, 1068, 1026, 26010, 18, 1048, 7062, 2271, 1026, 2738, 1159, 1044, 1198, 2873, 1295, 1060, 16756, 1309, 8394, 1305, 3770, 4286, 10433, 1776, 2268, 7213, 1566, 19321, 3245, 2489, 1049, 26010, 1118, 2612, 1049, 26831, 1526, 1009, 1860, 1814, 24088, 71, 1890, 4618, 1009, 13021, 1888, 22131, 1229, 1159, 16791, 73, 3931, 1206, 27755, 1104, 19724, 4840, 1096, 1048, 1026, 1592, 1298, 10505, 1043, 1006, 11765, 1009, 27755, 3499, 1478, 1128, 1499, 8444, 1479, 1079, 4473, 1026, 14476, 7234, 20, 1972, 3005, 5364, 1620, 19744, 25976, 16353, 16992, 5645, 4639, 1006, 2822, 1009, 4537, 1213, 1592, 5654, 1049, 26831, 1526, 1009, 1860, 1814, 24088, 71, 1068, 1026, 26010, 4752, 85, 6032, 27064, 1118, 2121, 4667, 1318, 1826, 1365, 1124, 15108, 3043, 1312, 1043, 14476, 7234, 1072, 20816, 11609, 1098, 3305, 1035, 1711, 85, 1048, 3901, 2979, 1009, 19933, 20435, 621, 1043, 4577, 1009, 5513, 3249, 1412, 2464, 1213, 4207, 15922, 1312, 1068, 12975, 15623, 1060, 9852, 7604, 1009, 2121, 31640, 1132, 27755, 3499, 1478, 1128, 6011, 6847, 1666, 1708, 1717, 3530, 6970, 11107, 8647, 1554, 4634, 2858, 5473, 4278, 1195, 1717, 1026, 2034, 1364, 77, 1875, 1093, 15443, 1122, 1065, 3662, 2121, 1385, 1048, 3865, 1094, 14274, 1112, 1072, 19760, 1027, 1184, 3707, 1054, 1783, 9821, 3281, 1606, 1610, 1580, 3806, 1124, 1364, 77, 19887, 1802, 3126, 15002, 1006, 4840, 1009, 2964, 1024, 1132, 27755, 3499, 1478, 1128, 1068, 16012, 1026, 2121, 6505, 1026, 1048, 3711, 5687, 1845, 13752, 1006, 2921, 10642, 1566, 1325, 1847, 15002, 1009, 1871, 1493, 3635, 1068, 7692, 27064, 1118, 1734, 9449, 14293, 10442, 1554, 1207, 3551, 1065, 3544, 1106, 1005, 20736, 2247, 1060, 8024, 1421, 2216, 1324, 1327, 2088, 1933, 1554, 1, 14522, 1236, 1357, 4575, 20798, 1114, 11315, 1060, 7764, 1150, 10778, 4634, 1205, 2154, 6195, 8, 31699, 8704, 2708, 1349, 1006, 5958, 15596, 1226, 17446, 2569, 1044, 4449, 15699, 1714, 5437, 1069, 1463, 4928, 3732, 1005, 1054, 7458, 1009, 3284, 18262, 1185, 2761, 3617, 12757, 7346, 1072, 31436, 1687, 1973, 1048, 4834, 2281, 9563, 1009, 1094, 7507, 1009, 1548, 10040, 1027, 30716, 6035, 10920, 1048, 2569, 1235, 12270, 7604, 1373, 1081, 1069, 1072, 3810, 3681, 1005, 1048, 3904, 21373, 1043, 1026, 28761, 1009, 12439, 15699, 17576, 1986, 1160, 1011, 11969, 1233, 1548, 10040, 1027, 1406, 1919, 11536, 1060, 6347, 2855, 16352, 1057, 26240, 1048, 1195, 1184, 1094, 9563, 1060, 13321, 3960, 8241, 6272, 1005, 1048, 1124, 5567, 30100, 1566, 1826, 1847, 16319, 1406, 6066, 1026, 3671, 2270, 4634, 1505, 2922, 1271, 23632, 2429, 9307, 20008, 1349, 1026, 4449, 15699, 1714, 1072, 1428, 1006, 5958, 6133, 1058, 23692, 8049, 1157, 24678, 1009, 1044, 9156, 1243, 1195, 9135, 1294, 7180, 1015, 1922, 2401, 1009, 15596, 1226, 20, 7900, 4686, 5738, 1006, 12195, 1195, 19270, 1140, 3038, 7518, 1154, 5842, 1006, 20293, 1060, 5958, 5649, 1048, 1026, 9891, 5493, 1318, 1195, 19703, 75, 1069, 1005, 1048, 1566, 21844, 1079, 1124, 1015, 1604, 1728, 5011, 1026, 9495, 1060, 5958, 1160, 9410, 1213, 1134, 2639, 51, 3465, 27123, 1048, 1096, 1094, 3897, 1624, 18, 1566, 15612, 2698, 1261, 24323, 1624, 76, 1193, 1034, 1054, 4579, 1054, 10761, 162, 1589, 4045, 39, 1565, 1482, 1235, 31436, 1687, 20491, 5795, 1009, 1172, 6673, 4163, 1463, 5852, 1009, 1235, 15446, 4452, 25380, 1005, 1058, 1047, 2855, 19881, 1066, 5619, 1177, 2039, 1802, 1603, 10500, 4830, 4501, 20486, 1305, 1234, 11821, 1128, 169, 16631, 1406, 5444, 20, 4049, 1418, 2823, 1160, 16092, 1616, 1406, 6895, 1006, 5958, 18, 1048, 1620, 16471, 1006, 13431, 10622, 1150, 11052, 76, 1193, 30145, 1114, 2218, 3803, 3720, 13240, 2433, 1006, 1094, 7840, 6579, 14853, 1009, 5883, 1233, 3897, 1009, 4284, 2773, 16540, 5552, 7922, 7715, 15596, 1226, 20491, 1044, 14627, 1009, 1224, 20293, 1009, 24672, 15311, 1048, 1006, 5958, 1195, 9563, 1009, 1624, 76, 1193, 2275, 2951, 7427, 14815, 1236, 1357, 5958, 1114, 3808, 18393, 1049, 1531, 18068, 1054, 10761, 162, 1589, 4045, 23988, 20620, 1009, 1044, 2535, 1009, 1624, 76, 1193, 1034, 1406, 16020, 1006, 6347, 20, 1, 3682, 6499, 10790, 2146, 10823, 15191, 8633, 1788, 1037, 89, 2604, 1373, 6473, 18731, 13346, 1252, 1253, 5962, 89, 1098, 2186, 27341, 2159, 2123, 12756, 26172, 2488, 3351, 6985, 1139, 1018, 1409, 9023, 4232, 15191, 3044, 2902, 2604, 2186, 6990, 95, 2159, 5947, 2689, 2238, 1380, 2186, 6729, 3965, 8822, 2821, 12129, 1710, 1038, 15191, 8633, 1504, 2204, 3361, 1253, 1006, 5597, 10011, 2159, 3286, 14377, 2186, 3655, 1947, 18, 2186, 4527, 2609, 1504, 1821, 84, 1813, 1024, 3965, 4242, 1155, 1135, 2146, 10823, 15191, 1598, 1014, 1465, 6499, 14900, 9581, 675, 1398, 91, 1171, 2349, 1013, 1018, 2604, 17787, 1506, 23335, 1241, 3020, 2604, 13743, 1506, 3361, 1171, 3724, 1802, 8, 47, 19935, 13257, 3286, 2970, 15191, 1006, 2589, 12359, 1736, 2020, 1137, 25353, 1006, 1536, 2890, 2604, 1962, 5257, 2238, 13346, 1252, 1253, 1504, 1006, 2589, 12359, 31128, 1156, 1155, 26919, 1030, 3333, 18996, 1119, 1468, 1655, 51, 1021, 12276, 1409, 4298, 2238, 27274, 23335, 24008, 2604, 1373, 6473, 18292, 1401, 18731, 1655, 27190, 1252, 1253, 5962, 89, 7113, 3579, 2123, 12756, 26172, 1030, 1932, 75, 15191, 6239, 9539, 2186, 6990, 95, 2689, 12879, 2186, 1594, 4591, 1380, 2186, 5947, 2689, 2238, 1406, 8633, 1710, 1038, 30077, 2488, 2952, 15700, 7280, 89, 1845, 10258, 1517, 1253, 2604, 1142, 9642, 1150, 1041, 1504, 2186, 1588, 2238, 3361, 2325, 2020, 1137, 4208, 27374, 2604, 24008, 1006, 1536, 2890, 2604, 13346, 23561, 2604, 1211, 1021, 1098, 13346, 1252, 1253, 1406, 2159, 2204, 22197, 1423, 6451, 1823, 5206, 3965, 16767, 4061, 1171, 5067, 12467, 95, 10821, 27787, 2186, 9065, 1108, 1098, 2186, 3462, 1064, 24353, 1, 1063, 6680, 1049, 4235, 1049, 1106, 1789, 1678, 1006, 14698, 12936, 21691, 20448, 1349, 6192, 1006, 16012, 1006, 31771, 1040, 7300, 1049, 19277, 1054, 16525, 6842, 1890, 6127, 1043, 1026, 5548, 6987, 2351, 15052, 19507, 3926, 3068, 4886, 20008, 1565, 58, 28886, 1054, 1761, 2526, 1043, 1026, 6680, 1049, 1344, 1656, 2737, 1072, 5317, 4949, 1054, 1764, 15344, 1687, 14849, 1026, 2490, 1009, 14288, 15183, 1159, 1026, 3504, 18006, 6352, 9041, 1054, 25956, 1365, 3825, 6132, 1452, 1711, 1363, 1263, 3300, 14024, 1048, 5631, 3878, 17273, 17296, 5310, 1005, 6442, 1049, 7247, 15994, 14396, 14360, 1026, 1251, 7367, 1714, 1106, 1789, 89, 1845, 1347, 1060, 29632, 1726, 12965, 1060, 25375, 1365, 7500, 1005, 3825, 29004, 1048, 5090, 1114, 9707, 19829, 1349, 12936, 23319, 9934, 5233, 1006, 1579, 2176, 1009, 1048, 1026, 4235, 1049, 1106, 1789, 89, 10030, 1663, 3398, 19493, 1006, 14561, 18, 1251, 3281, 1140, 2691, 26667 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1006, 20292, 8, 1005, 2909, 1859, 1684, 13097, 1961, 1118, 13907, 1441, 1637, 8406, 2464, 1006, 1235, 11304, 28391, 1327, 2296, 13764, 1213, 5762, 1009, 17375, 3622, 2100, 14326, 1375, 71, 1072, 1235, 7793, 1124, 4816, 1322, 1026, 6490, 16914, 1005, 12439, 20585, 32, 24395, 6417, 1005, 4203, 33, 15258, 1068, 4571, 1708, 3375, 11664, 1157, 1715, 5552, 5261, 17466, 1349, 1026, 4813, 8450, 16252, 1079, 1114, 5829, 1026, 5975, 1009, 4375, 13425, 12997, 1072, 2318, 2402, 1009, 1094, 8274, 8522, 1717, 23139, 2796, 95, 1916, 1144, 7149, 1006, 15727, 1252, 2165, 20956, 1111, 9010, 10522, 1009, 1098, 80, 18421, 1717, 12652, 2999, 1005, 1009, 7732, 1485, 1031, 1930, 19840, 1130, 1206, 1455, 1698, 1006, 20596, 1206, 26067, 1009, 1543, 2731, 26063, 20589, 1411, 9403, 1206, 5144, 1272, 3267, 2100, 8, 132, 2481, 16529, 2464, 1098, 1193, 1042, 1526, 8181, 1213, 2671, 4444, 1098, 27310, 1233, 7945, 3980, 1411, 8528, 23139, 2796, 3814, 9793, 1079, 1132, 8654, 1060, 6685, 1009, 5431, 1627, 1409, 29203, 1006, 20292, 1005, 1026, 2349, 2678, 1049, 17553, 1049, 11169, 11132, 12474, 1026, 10008, 1060, 7922, 1406, 1919, 11536, 1060, 5710, 25707, 1356, 24787, 1009, 5829, 5569, 3777, 1342, 1060, 10605, 1377, 4634, 23139, 2796, 3814, 1195, 6483, 1118, 1791, 28409, 1356, 6307, 4562, 5705, 15720, 1006, 2323, 1009, 15502, 1482, 7267, 1264, 29167, 1009, 5593, 8894, 1068, 1094, 5994, 21966, 14992, 16949, 1048, 2661, 1199, 1005, 6303, 5392, 1049, 1561, 3172, 6192, 1213, 1908, 3057, 1901, 1005, 7062, 1043, 10790, 2645, 13986, 1054, 30193, 1138, 2670, 6303, 2997, 1044, 5333, 1213, 4472, 1131, 27184, 1114, 6338, 1009, 11906, 1049, 12694, 31608, 1356, 6721, 2434, 26592, 1377, 2494, 3757, 20247, 1072, 2268, 1073, 8499, 4979, 1213, 25715, 1048, 1837, 1006, 5579, 1009, 23139, 2796, 3814, 14368, 1026, 12694, 1309, 1048, 4697, 15474, 1195, 1642, 9561, 23139, 2796, 3814, 18374, 1118, 2191, 1009, 1224, 26316, 1411, 1048, 1160, 3326, 1461, 1026, 6976, 1118, 2097, 20, 1, 1138, 14476, 7234, 18, 3202, 1009, 16848, 7604, 15335, 1213, 4618, 1009, 1011, 151, 5619, 1074, 1049, 8620, 1043, 4278, 1566, 4814, 1166, 1009, 3245, 2489, 3225, 1009, 13021, 17789, 1318, 1298, 1178, 7048, 1068, 2089, 4034, 3375, 1793, 1573, 4538, 1046, 1058, 1006, 4639, 1096, 9279, 1068, 15427, 1717, 1124, 7104, 1064, 11208, 3662, 24532, 2446, 1083, 1005, 22183, 1118, 2121, 6505, 1365, 2089, 1048, 1826, 1114, 20447, 1009, 12094, 6301, 23952, 3702, 2802, 4255, 2106, 1620, 1327, 7085, 5048, 9340, 4682, 17161, 1048, 23409, 1508, 1657, 1072, 8368, 1068, 10541, 1026, 4957, 7012, 5856, 11795, 17987, 1406, 18727, 1975, 12094, 1060, 2828, 1009, 18368, 9201, 1294, 4620, 7205, 4571, 1046, 1044, 2859, 6342, 3068, 4886, 20008, 15, 1114, 5623, 17322, 1048, 1268, 3645, 1124, 3145, 15249, 14396, 1566, 6626, 1322, 1026, 14476, 7234, 2338, 3202, 1096, 6934, 1054, 7682, 1132, 27755, 3499, 1478, 1128, 18, 7875, 1049, 2380, 9821, 1324, 1068, 16012, 10343, 1026, 1048, 3865, 1006, 28854, 1482, 25228, 3530, 27755, 3499, 1478, 1327, 6604, 2502, 1049, 8590, 18, 10627, 1118, 22240, 21166, 1068, 16012, 1124, 7875, 18431, 1233, 5946, 2170, 1118, 6781, 1327, 7028, 1166, 1072, 5038, 1667, 26099, 24695, 1072, 1561, 1068, 1511, 1160, 4548, 2089, 4270, 15379, 1026, 14476, 7234, 2569, 3770, 17804, 1054, 1011, 151, 5619, 1074, 22131, 1229, 1159, 27755, 4852, 1005, 16791, 4569, 2275, 1972, 1132, 13021, 1888, 9779, 3607, 1006, 4639, 1160, 20552, 6030, 26323, 1309, 1026, 3311, 1318, 1096, 3820, 1009, 4538, 3803, 22875, 5364, 16532, 5480, 1009, 12002, 2122, 21651, 1187, 1011, 151, 5619, 1074, 9779, 7425, 2584, 8545, 1096, 1118, 22399, 1024, 1132, 27755, 3499, 1478, 1128, 3212, 3500, 1114, 2413, 1049, 13021, 2212, 7845, 1026, 2859, 6342, 1114, 17322, 20, 3782, 2246, 1094, 1271, 8272, 1049, 14476, 7234, 1068, 1132, 1011, 151, 5619, 1074, 29244, 1327, 1124, 20525, 14139, 1048, 4548, 1463, 5852, 5473, 13021, 1888, 20, 4116, 22399, 1024, 1124, 7875, 5232, 5645, 10909, 1298, 1178, 1048, 1356, 2444, 2122, 9120, 2374, 6419, 1196, 2338, 1048, 4292, 1495, 2276, 1327, 10486, 11810, 1049, 2490, 1060, 18610, 1068, 2089, 7692, 2247, 1187, 1011, 151, 5619, 1074, 22131, 1554, 2858, 5473, 6824, 1009, 4545, 1620, 7085, 1102, 1096, 1271, 7692, 6003, 1053, 1146, 2223, 2366, 4545, 1009, 6391, 4538, 1079, 1026, 5654, 1049, 14476, 7234, 1054, 3251, 7213, 1043, 1064, 11208, 9039, 1482, 1664, 1132, 3251, 18, 5756, 1057, 15616, 1271, 7875, 14476, 7234, 18, 1213, 1592, 1557, 1054, 1048, 5687, 1026, 3603, 1271, 7875, 1106, 1479, 3352, 1327, 18431, 1726, 15070, 1394, 3249, 1312, 1463, 1783, 1043, 1006, 6758, 20, 1766, 3251, 7213, 13728, 1009, 5593, 1132, 10880, 1005, 1596, 9943, 1054, 3245, 2489, 3038, 15037, 71, 4661, 1043, 675, 9962, 1318, 14407, 1044, 5654, 10492, 1049, 14476, 7234, 1072, 3603, 1005, 1114, 11447, 1049, 1064, 11208, 9039, 9528, 1118, 28639, 1124, 2266, 1620, 1327, 1448, 1265, 1728, 15888, 16103, 4029, 1005, 13490, 1009, 2729, 5633, 3775, 7979, 1068, 1319, 1843, 3749, 1058, 1006, 9425, 1060, 5946, 1096, 24295, 1206, 23538, 1629, 1406, 18727, 1040, 1132, 7938, 1049, 2859, 20, 4634, 13187, 7858, 1009, 4618, 1049, 14476, 7234, 1072, 3428, 1009, 7692, 6003, 1053, 10614, 1096, 1006, 1124, 24814, 2858, 2859, 3249, 3205, 1054, 1791, 4440, 18277, 1009, 18725, 1048, 1006, 4639, 1009, 7875, 15922, 1312, 9241, 1068, 7904, 1717, 8332, 1124, 83, 1653, 5345, 1063, 11447, 18, 1213, 1048, 3449, 18, 1195, 16844, 10376, 1294, 1080, 2628, 1554, 25338, 1068, 1026, 24532, 2446, 3646, 1048, 1318, 6224, 1072, 8667, 1009, 20204, 6003, 1053, 1146, 1400, 1837, 2350, 11810, 15652, 1044, 2481, 5654, 10492, 1049, 14476, 7234, 20, 1482, 5364, 1043, 16163, 1229, 1195, 4947, 1048, 1124, 7875, 15922, 1312, 1068, 1989, 2822, 2569, 9705, 1043, 1006, 11447, 1060, 5946, 1294, 5513, 4283, 5166, 13618, 1575, 5345, 1424, 1026, 4248, 1072, 2268, 1026, 5654, 10492, 18560, 1711, 1036, 3550, 2389, 1009, 1048, 6119, 1160, 9545, 25868, 1187, 5726, 8127, 1271, 7692, 6003, 1053, 1146, 1400, 15249, 1566, 4548, 1322, 1026, 14476, 7234, 1072, 2535, 1009, 14293, 17460, 3316, 8545, 1096, 1068, 1026, 26010, 18, 1048, 7062, 2271, 1026, 2738, 1159, 1044, 1198, 2873, 1295, 1060, 16756, 1309, 8394, 1305, 3770, 4286, 10433, 1776, 2268, 7213, 1566, 19321, 3245, 2489, 1049, 26010, 1118, 2612, 1049, 26831, 1526, 1009, 1860, 1814, 24088, 71, 1890, 4618, 1009, 13021, 1888, 22131, 1229, 1159, 16791, 73, 3931, 1206, 27755, 1104, 19724, 4840, 1096, 1048, 1026, 1592, 1298, 10505, 1043, 1006, 11765, 1009, 27755, 3499, 1478, 1128, 1499, 8444, 1479, 1079, 4473, 1026, 14476, 7234, 20, 1972, 3005, 5364, 1620, 19744, 25976, 16353, 16992, 5645, 4639, 1006, 2822, 1009, 4537, 1213, 1592, 5654, 1049, 26831, 1526, 1009, 1860, 1814, 24088, 71, 1068, 1026, 26010, 4752, 85, 6032, 27064, 1118, 2121, 4667, 1318, 1826, 1365, 1124, 15108, 3043, 1312, 1043, 14476, 7234, 1072, 20816, 11609, 1098, 3305, 1035, 1711, 85, 1048, 3901, 2979, 1009, 19933, 20435, 621, 1043, 4577, 1009, 5513, 3249, 1412, 2464, 1213, 4207, 15922, 1312, 1068, 12975, 15623, 1060, 9852, 7604, 1009, 2121, 31640, 1132, 27755, 3499, 1478, 1128, 6011, 6847, 1666, 1708, 1717, 3530, 6970, 11107, 8647, 1554, 4634, 2858, 5473, 4278, 1195, 1717, 1026, 2034, 1364, 77, 1875, 1093, 15443, 1122, 1065, 3662, 2121, 1385, 1048, 3865, 1094, 14274, 1112, 1072, 19760, 1027, 1184, 3707, 1054, 1783, 9821, 3281, 1606, 1610, 1580, 3806, 1124, 1364, 77, 19887, 1802, 3126, 15002, 1006, 4840, 1009, 2964, 1024, 1132, 27755, 3499, 1478, 1128, 1068, 16012, 1026, 2121, 6505, 1026, 1048, 3711, 5687, 1845, 13752, 1006, 2921, 10642, 1566, 1325, 1847, 15002, 1009, 1871, 1493, 3635, 1068, 7692, 27064, 1118, 1734, 9449, 14293, 10442, 1554, 1207, 3551, 1065, 3544, 1106, 1005, 20736, 2247, 1060, 8024, 1421, 2216, 1324, 1327, 2088, 1933, 1554, 1, 14522, 1236, 1357, 4575, 20798, 1114, 11315, 1060, 7764, 1150, 10778, 4634, 1205, 2154, 6195, 8, 31699, 8704, 2708, 1349, 1006, 5958, 15596, 1226, 17446, 2569, 1044, 4449, 15699, 1714, 5437, 1069, 1463, 4928, 3732, 1005, 1054, 7458, 1009, 3284, 18262, 1185, 2761, 3617, 12757, 7346, 1072, 31436, 1687, 1973, 1048, 4834, 2281, 9563, 1009, 1094, 7507, 1009, 1548, 10040, 1027, 30716, 6035, 10920, 1048, 2569, 1235, 12270, 7604, 1373, 1081, 1069, 1072, 3810, 3681, 1005, 1048, 3904, 21373, 1043, 1026, 28761, 1009, 12439, 15699, 17576, 1986, 1160, 1011, 11969, 1233, 1548, 10040, 1027, 1406, 1919, 11536, 1060, 6347, 2855, 16352, 1057, 26240, 1048, 1195, 1184, 1094, 9563, 1060, 13321, 3960, 8241, 6272, 1005, 1048, 1124, 5567, 30100, 1566, 1826, 1847, 16319, 1406, 6066, 1026, 3671, 2270, 4634, 1505, 2922, 1271, 23632, 2429, 9307, 20008, 1349, 1026, 4449, 15699, 1714, 1072, 1428, 1006, 5958, 6133, 1058, 23692, 8049, 1157, 24678, 1009, 1044, 9156, 1243, 1195, 9135, 1294, 7180, 1015, 1922, 2401, 1009, 15596, 1226, 20, 7900, 4686, 5738, 1006, 12195, 1195, 19270, 1140, 3038, 7518, 1154, 5842, 1006, 20293, 1060, 5958, 5649, 1048, 1026, 9891, 5493, 1318, 1195, 19703, 75, 1069, 1005, 1048, 1566, 21844, 1079, 1124, 1015, 1604, 1728, 5011, 1026, 9495, 1060, 5958, 1160, 9410, 1213, 1134, 2639, 51, 3465, 27123, 1048, 1096, 1094, 3897, 1624, 18, 1566, 15612, 2698, 1261, 24323, 1624, 76, 1193, 1034, 1054, 4579, 1054, 10761, 162, 1589, 4045, 39, 1565, 1482, 1235, 31436, 1687, 20491, 5795, 1009, 1172, 6673, 4163, 1463, 5852, 1009, 1235, 15446, 4452, 25380, 1005, 1058, 1047, 2855, 19881, 1066, 5619, 1177, 2039, 1802, 1603, 10500, 4830, 4501, 20486, 1305, 1234, 11821, 1128, 169, 16631, 1406, 5444, 20, 4049, 1418, 2823, 1160, 16092, 1616, 1406, 6895, 1006, 5958, 18, 1048, 1620, 16471, 1006, 13431, 10622, 1150, 11052, 76, 1193, 30145, 1114, 2218, 3803, 3720, 13240, 2433, 1006, 1094, 7840, 6579, 14853, 1009, 5883, 1233, 3897, 1009, 4284, 2773, 16540, 5552, 7922, 7715, 15596, 1226, 20491, 1044, 14627, 1009, 1224, 20293, 1009, 24672, 15311, 1048, 1006, 5958, 1195, 9563, 1009, 1624, 76, 1193, 2275, 2951, 7427, 14815, 1236, 1357, 5958, 1114, 3808, 18393, 1049, 1531, 18068, 1054, 10761, 162, 1589, 4045, 23988, 20620, 1009, 1044, 2535, 1009, 1624, 76, 1193, 1034, 1406, 16020, 1006, 6347, 20, 1, 3682, 6499, 10790, 2146, 10823, 15191, 8633, 1788, 1037, 89, 2604, 1373, 6473, 18731, 13346, 1252, 1253, 5962, 89, 1098, 2186, 27341, 2159, 2123, 12756, 26172, 2488, 3351, 6985, 1139, 1018, 1409, 9023, 4232, 15191, 3044, 2902, 2604, 2186, 6990, 95, 2159, 5947, 2689, 2238, 1380, 2186, 6729, 3965, 8822, 2821, 12129, 1710, 1038, 15191, 8633, 1504, 2204, 3361, 1253, 1006, 5597, 10011, 2159, 3286, 14377, 2186, 3655, 1947, 18, 2186, 4527, 2609, 1504, 1821, 84, 1813, 1024, 3965, 4242, 1155, 1135, 2146, 10823, 15191, 1598, 1014, 1465, 6499, 14900, 9581, 675, 1398, 91, 1171, 2349, 1013, 1018, 2604, 17787, 1506, 23335, 1241, 3020, 2604, 13743, 1506, 3361, 1171, 3724, 1802, 8, 47, 19935, 13257, 3286, 2970, 15191, 1006, 2589, 12359, 1736, 2020, 1137, 25353, 1006, 1536, 2890, 2604, 1962, 5257, 2238, 13346, 1252, 1253, 1504, 1006, 2589, 12359, 31128, 1156, 1155, 26919, 1030, 3333, 18996, 1119, 1468, 1655, 51, 1021, 12276, 1409, 4298, 2238, 27274, 23335, 24008, 2604, 1373, 6473, 18292, 1401, 18731, 1655, 27190, 1252, 1253, 5962, 89, 7113, 3579, 2123, 12756, 26172, 1030, 1932, 75, 15191, 6239, 9539, 2186, 6990, 95, 2689, 12879, 2186, 1594, 4591, 1380, 2186, 5947, 2689, 2238, 1406, 8633, 1710, 1038, 30077, 2488, 2952, 15700, 7280, 89, 1845, 10258, 1517, 1253, 2604, 1142, 9642, 1150, 1041, 1504, 2186, 1588, 2238, 3361, 2325, 2020, 1137, 4208, 27374, 2604, 24008, 1006, 1536, 2890, 2604, 13346, 23561, 2604, 1211, 1021, 1098, 13346, 1252, 1253, 1406, 2159, 2204, 22197, 1423, 6451, 1823, 5206, 3965, 16767, 4061, 1171, 5067, 12467, 95, 10821, 27787, 2186, 9065, 1108, 1098, 2186, 3462, 1064, 24353, 1, 1063, 6680, 1049, 4235, 1049, 1106, 1789, 1678, 1006, 14698, 12936, 21691, 20448, 1349, 6192, 1006, 16012, 1006, 31771, 1040, 7300, 1049, 19277, 1054, 16525, 6842, 1890, 6127, 1043, 1026, 5548, 6987, 2351, 15052, 19507, 3926, 3068, 4886, 20008, 1565, 58, 28886, 1054, 1761, 2526, 1043, 1026, 6680, 1049, 1344, 1656, 2737, 1072, 5317, 4949, 1054, 1764, 15344, 1687, 14849, 1026, 2490, 1009, 14288, 15183, 1159, 1026, 3504, 18006, 6352, 9041, 1054, 25956, 1365, 3825, 6132, 1452, 1711, 1363, 1263, 3300, 14024, 1048, 5631, 3878, 17273, 17296, 5310, 1005, 6442, 1049, 7247, 15994, 14396, 14360, 1026, 1251, 7367, 1714, 1106, 1789, 89, 1845, 1347, 1060, 29632, 1726, 12965, 1060, 25375, 1365, 7500, 1005, 3825, 29004, 1048, 5090, 1114, 9707, 19829, 1349, 12936, 23319, 9934, 5233, 1006, 1579, 2176, 1009, 1048, 1026, 4235, 1049, 1106, 1789, 89, 10030, 1663, 3398, 19493, 1006, 14561, 18, 1251, 3281, 1140, 2691, 26667 ]

[ 8426, 1048, 1299, 1160, 1298, 3417, 1009, 5574, 32, 1006, 16108, 22448, 1324, 1006, 13206, 1009, 12163, 1026, 9550, 1106, 3933, 1128, 8714, 24954, 14106, 9585, 16093, 1014, 3965, 4333, 1044, 2386, 1005, 11641, 4417, 1096, 5149, 1428, 1096, 1026, 1184, 1655, 0, 67, 3141, 1252, 1243, 1054, 8462, 32, 5024, 24273, 1009, 3658, 1236, 5869, 22822, 1009, 8462, 1779, 1009, 3113, 1009, 3973, 1173, 14940, 2721, 15551, 0, 67, 2790, 1060, 1090, 2094, 1299, 2155, 2997, 1009, 2519, 1043, 1026, 9550, 1106, 3933, 1043, 1006, 2642, 14939, 1009, 7485, 1498, 7473, 2170, 4108, 19589, 18, 1043, 1006, 16108, 1084, 10397, 1005, 1026, 2293, 1655, 0, 4696, 65, 0, 67, 2691, 4874, 5826, 1789, 7452, 11234, 1108, 1005, 1180, 1529, 3951, 1802, 2458, 1208, 1068, 1026, 2790, 1213, 5392, 1060, 6500, 32, 10094, 6185, 1096, 1026, 9550, 4341, 20, 3713, 7917, 1009, 12099, 1024, 1072, 15738, 1009, 3548, 1043, 1006, 1712, 5020, 1009, 13847, 1072, 3591, 7043, 1955, 1165, 1471, 37, 1655, 0, 67, 2503, 3247, 15294, 1428, 1096, 1026, 21048, 7333, 1009, 8462, 5869, 22822, 1009, 8462, 3295, 1009, 3113, 1009, 3973, 1173, 26901, 4673, 15551, 0, 67, 17145, 1264, 2947, 2125, 3229, 1233, 23957, 2494, 16928, 1616, 2572, 3754, 2464, 1726, 21881, 1072, 3878, 1026, 9550, 4341, 1054, 8462, 2155, 12742, 2128, 8956, 4499, 1212, 1400, 1160, 1655, 0, 67, 22286, 7, 4293, 29220, 22846, 1356, 7640, 2011, 7, 29653, 12875, 18, 8067, 1060, 8116, 1048, 1026, 9550, 4341, 24864, 20, 4714, 1043, 5099, 13538, 1068, 8462, 1054, 3268, 1005, 3074, 3822, 9468, 1324, 2340, 5029, 1468, 1048, 1160, 2177, 2481, 8147, 12871, 5795, 12199, 1273, 9665, 1392, 1009, 12163, 1043, 1006, 9582, 1128, 8714, 1213, 4249, 20, 3713, 4337, 1323, 2711, 1930, 6021, 1058, 18, 3711, 18, 1132, 12604, 14402, 11853, 1027, 2693, 1006, 11129, 18, 1213, 3311, 1009, 1160, 5115, 1800, 1419, 15259, 3048, 1026, 17269, 37, 7731, 1566, 18, 1493, 19370, 1357, 4022, 7, 7582, 18232, 30957, 1054, 8462, 32, 19535, 1694, 1026, 6147, 5869, 22822, 1009, 8462, 3404, 1009, 3261, 1009, 4161, 1173, 14115, 3413, 15551, 0, 67, 1846, 1116, 3039, 1295, 1079, 1044, 9674, 1049, 2790, 1009, 2979, 1049, 13740, 12787, 10422, 1009, 7485, 1498, 1042, 1870, 1571, 2947, 1026, 9550, 4341, 1565, 1063, 6443, 2309, 10522, 1195, 16064, 1140, 1356, 2956, 1655, 0, 4696, 65, 0, 67, 1853, 1049, 1048, 5184, 1800, 1006, 3028, 2919, 3631, 3958, 1006, 8928, 20, 5093, 1006, 8462, 1005, 1160, 10373, 1024, 1026, 9550, 4341, 1005, 1026, 10422, 1009, 7485, 1498, 7473, 1096, 5417, 1655, 0, 4696, 65, 0, 67, 1325, 1009, 5099, 13538, 1068, 12163, 1096, 2631, 3291, 1048, 1026, 1712, 14460, 1060, 3861, 4866, 1961, 1026, 9550, 1106, 3933, 1325, 1054, 1655, 0, 67, 18515, 1027, 1271, 15061, 1160, 5594, 1258, 1016, 1984, 1009, 2436, 1009, 4053, 1173, 18061, 2830, 15551, 0, 67, 6453, 11342, 31179, 1299, 1566, 1601, 1324, 22264, 9550, 1106, 3933, 16108, 22448, 1324, 10422, 1009, 7485, 1498, 7473, 1005, 2653, 1655, 0, 67, 1576, 1029, 5517, 1009, 7485, 1498, 7473, 32, 6020, 1907, 1005, 6365, 5869, 22822, 1009, 8462, 2978, 1009, 3353, 1009, 4053, 1173, 31404, 2721, 15551, 0, 67, 1299, 1160, 1026, 2808, 1357, 22417, 18677, 10543, 17785, 1009, 2519, 1043, 1264, 1213, 7508, 1356, 9550, 1106, 3933, 2340, 1026, 1015, 1468, 1009, 24953, 12845, 25968, 1114, 11129, 1049, 17269, 1049, 1655, 0, 67, 1, 26791, 1714, 6698, 1357, 1944, 1472, 1054, 4053, 1005, 4121, 1589, 6647, 1049, 8039, 1605, 26791, 1714, 6192, 3004, 1726, 30024, 1184, 1009, 1791, 3952, 5738, 1213, 17300, 1054, 2573, 1026, 8039, 1009, 19261, 1118, 1307, 19, 2084, 1054, 5618, 1060, 24812, 0, 6396, 1060, 1156, 6254, 7512, 1009, 3246, 15342, 7828, 2717, 3273, 1026, 25601, 1765, 1637, 4064, 2328, 1009, 2125, 31249, 6162, 1166, 1114, 6406, 1009, 18459, 1114, 1944, 8486, 3907, 1009, 8939, 1043, 13460, 1009, 8877, 2882, 1091, 23216, 4686, 1349, 21637, 18999, 15, 1005, 24655, 20008, 3377, 25338, 1026, 27704, 9846, 1006, 25768, 9348, 1294, 4679, 1782, 14725, 1005, 1006, 1831, 1986, 1006, 4701, 1009, 4763, 26046, 12362, 1957, 26872, 28155, 1017, 5189, 3340, 1072, 4133, 6304, 1533, 5618, 1160, 6409, 1261, 28147, 1060, 8976, 2596, 1068, 1132, 20583, 5247, 1048, 17618, 1026, 11348, 73, 21213, 1027, 624, 23493, 17595, 1118, 6821, 1627, 4108, 1679, 7828, 13223, 7439, 1233, 3583, 1009, 8528, 2320, 158, 5209, 1704, 8039, 9410, 1114, 2921, 11348, 1263, 5922, 624, 1005, 624, 1657, 1791, 4686, 5738, 6787, 11870, 1930, 2328, 1049, 4750, 23269, 1577, 1207, 5999, 1599, 1048, 9096, 1072, 11348, 1066, 1582, 70, 1060, 2236, 1068, 6679, 1213, 22242, 1009, 23168, 1056, 1005, 10716, 12742, 1357, 5355, 1472, 1072, 7248, 1533, 14923, 14017, 10748, 2429, 4661, 1072, 2790, 1049, 26791, 8878, 1184, 1094, 1472, 1006, 2323, 1009, 1044, 26060, 2364, 1072, 2790, 19390, 2736, 1905, 1118, 6916, 7111, 71, 1005, 10239, 1069, 1068, 1026, 5978, 5046, 21637, 1058, 2480, 1024, 1006, 12742, 1043, 1006, 21339, 3728, 11348, 23181, 2296, 4050, 9244, 1233, 7530, 1049, 16811, 3295, 17117, 1044, 7632, 1068, 1132, 6772, 1089, 29679, 1400, 1679, 3727, 13223, 1184, 1044, 2933, 1667, 9476, 5326, 1195, 18641, 2526, 1006, 5242, 1930, 1006, 5095, 3475, 1118, 21637, 1005, 8877, 2882, 3017, 1996, 1009, 4537, 1006, 1900, 3947, 1048, 24017, 1318, 1068, 1663, 1026, 1831, 2933, 85, 1356, 2017, 4346, 1704, 3435, 1169, 10688, 1348, 3750, 1079, 1132, 16918, 6436, 1006, 1681, 7142, 1184, 1072, 14679, 1100, 1309, 1516, 2204, 1486, 1006, 3971, 1009, 7342, 1072, 2803, 1009, 8859, 1187, 1064, 6290, 1533, 9013, 15513, 1049, 26791, 1714, 9846, 1044, 2649, 1732, 1233, 3583, 1187, 4679, 1158, 13223, 1511, 1026, 7887, 1563, 8628, 2569, 1094, 4701, 1060, 1080, 16260, 2283, 10523, 3017, 13064, 1157, 1207, 2570, 17063, 1114, 1807, 17677, 1207, 5999, 1069, 24017, 1026, 6414, 1477, 6460, 1068, 1663, 1026, 11348, 72, 1020, 70, 1005, 6233, 1006, 5267, 1072, 25737, 3915, 3902, 1049, 3191, 8655, 1026, 8039, 6895, 1124, 1569, 1455, 7545, 1121, 1072, 31241, 16746, 7730, 3335, 1309, 5404, 1118, 1419, 1026, 26791, 1714, 3659, 1184, 4236, 1049, 2933, 85, 1054, 6544, 1049, 16811, 24585, 2730, 22936, 1889, 1295, 27149, 1118, 2079, 5882, 1019, 1699, 1054, 1048, 24655, 7289, 1200, 5460, 2328, 1009, 1044, 3245, 1660, 5242, 2270, 1, 1972, 2306, 1836, 10069, 1006, 3069, 1054, 4431, 1068, 6534, 2122, 3733, 26409, 1187, 20834, 1046, 1400, 10961, 1048, 22059, 1020, 7559, 32, 8204, 17007, 95, 14217, 1054, 4431, 1566, 1325, 2467, 6058, 1005, 1006, 23019, 3275, 1483, 1566, 16394, 1132, 4181, 8578, 14758, 1166, 1049, 13650, 1063, 20183, 1040, 1986, 1026, 17105, 1956, 5735, 1353, 2940, 1048, 1132, 13269, 1049, 2666, 3633, 1327, 11011, 7201, 3460, 1048, 1132, 1049, 18385, 1048, 1826, 31488, 27550, 1006, 3596, 24858, 2583, 20, 2654, 17590, 1160, 5490, 21151, 9212, 1005, 1566, 3501, 1089, 1026, 2666, 1592, 1054, 12363, 1005, 3002, 3754, 1048, 1006, 3069, 4431, 1096, 1094, 5554, 2728, 1236, 1072, 3681, 1009, 3261, 1962, 20280, 1603, 1299, 1620, 1160, 9239, 1006, 3069, 1054, 12363, 29070, 1495, 1026, 4711, 1060, 27973, 2340, 1096, 2191, 4417, 17822, 1024, 1043, 1124, 18601, 1054, 4431, 1986, 4125, 9018, 3229, 22717, 2373, 46, 23497, 1925, 39, 13076, 23497, 1207, 20562, 53, 1207, 2805, 23497, 2805, 1144, 132, 37, 626, 1005, 2742, 20, 1, 4972, 1322, 2237, 1641, 1060, 5507, 3900, 18027, 1439, 3893, 31388, 5218, 93, 22712, 1096, 1094, 1641, 19119, 1009, 9097, 27719, 1126, 1043, 27627, 10823, 1615, 13118, 1685, 1049, 3009, 26378, 1026, 13337, 6191, 1005, 1124, 10873, 14319, 1048, 5, 2587, 29383, 1118, 2693, 1006, 1641, 1059, 27944, 4805, 4734, 1322, 1456, 26620, 1005, 1224, 1630, 2165, 20, 3713, 4291, 5, 18027, 1439, 1664, 1132, 4972, 1049, 1807, 5, 10641, 1631, 1049, 3009, 15862, 18, 1124, 18268, 1060, 25148, 5375, 4385, 1049, 3009, 19128, 18, 1206, 1006, 1224, 11298, 27658, 2007, 13773, 1121, 1184, 1048, 14307, 1068, 12212, 1006, 25148, 4302, 4448, 1100, 1571, 1299, 1298, 5877, 1024, 5215, 22672, 1005, 1048, 1325, 18640, 28023, 4320, 3905, 1571, 20341, 1060, 1834, 2204, 25932, 2875, 1017, 28455, 1305, 1224, 1834, 2204, 25932, 1005, 1224, 5511, 23197, 2275, 1063, 1641, 17365, 2653, 25265, 1678, 5, 2841, 1074, 1005, 13379, 21079, 1680, 1159, 10420, 1005, 21855, 2875, 1017, 28455, 1299, 1298, 1663, 1044, 2574, 1009, 2289, 2170, 2247, 1049, 8435, 26982, 1024, 1006, 5, 77, 1593, 12555, 8500, 1663, 6941, 19973, 1009, 15107, 1005, 15387, 14189, 5, 1785, 4323, 7978, 2370, 1006, 5218, 28455, 1054, 2073, 4180, 1049, 7313, 3423, 2668, 1299, 2155, 1261, 1006, 5, 1568, 1021, 1563, 1009, 2089, 1783, 1048, 10067, 1456, 11429, 1322, 1132, 18459, 1184, 5, 2502, 12932, 1009, 5099, 1006, 5218, 93, 1031, 20, 1062, 15668, 1046, 7243, 2539, 3140, 1548, 12316, 1, 1175, 15034, 3450, 1005, 25868, 6492, 3882, 1065, 3003, 32, 6743, 22786, 21, 20840, 21, 3303, 21, 1842, 54, 21, 16575, 21, 25705, 11136, 1842, 1206, 4260, 1, 7804, 1159, 5325, 1006, 6894, 1009, 1168, 4875, 1072, 4223, 90, 37, 3528, 5661, 1132, 18550, 1043, 4527, 92, 27, 1327, 1132, 1184, 7739, 6762, 1503, 9479, 1160, 1323, 1009, 6080, 79, 1043, 3819, 1495, 3004, 1565, 1766, 1184, 3398, 6762, 1006, 1807, 3364, 15, 1327, 4527, 92, 29, 4908, 31157, 1299, 1298, 1495, 2837, 1657, 1083, 4772, 19122, 1048, 3241, 1026, 22205, 1009, 1752, 5732, 20, 2605, 1026, 1009, 5670, 95, 1049, 4223, 90, 1160, 1381, 1616, 7655, 2535, 1299, 6479, 1261, 1124, 1307, 7969, 1678, 10094, 1299, 2155, 8307, 7190, 1307, 7707, 20700, 6696, 1357, 3484, 20, 1084, 7206, 1009, 1663, 2924, 17846, 9758, 5471, 1026, 4223, 90, 30355, 1907, 1068, 2837, 1132, 4965, 1206, 1006, 3069, 3092, 1006, 7819, 25, 3900, 59, 1135, 1006, 23047, 3360, 1068, 1156, 2428, 2950, 1068, 30369, 1, 1138, 2671, 1049, 2956, 1009, 1764, 2434, 19387, 1079, 11705, 2824, 15340, 27, 2744, 1054, 17871, 1018, 1009, 25594, 11090, 11234, 2176, 1009, 6171, 1348, 1242, 1005, 10504, 1071, 3083, 8242, 15, 1068, 1132, 7828, 6921, 1060, 9492, 1140, 2242, 7407, 1138, 14583, 3330, 1357, 6338, 1060, 13829, 1096, 17556, 1213, 21951, 13264, 1069, 1072, 3041, 1009, 1675, 1006, 1782, 1009, 3261, 20, 1766, 3408, 20462, 1006, 24608, 1060, 24721, 1049, 4560, 4776, 1048, 1327, 18600, 1726, 2927, 2765, 14380, 1043, 2068, 1114, 6446, 1049, 21197, 1009, 12711, 1112, 1187, 26991, 6136, 14000, 15, 7916, 1068, 1752, 1641, 17740, 93, 21322, 26375, 1030, 22440, 1004, 92, 10214, 1313, 47, 6898, 5529, 1238, 11715, 1599, 3111, 19928, 1005, 17638, 9158, 17541, 14, 58, 12776, 1124, 1982, 1389, 1018, 6515, 1594, 6196, 2187, 1069, 33, 15, 2536, 1101, 14772, 1732, 1060, 1082, 4171, 1276, 14, 57, 2795, 1069, 1005, 11375, 14628, 2536, 25906, 1047, 1009, 4983, 3446, 1068, 9114, 1049, 18628, 21249, 1276, 47, 1590, 4237, 32, 3771, 2534, 1254, 1118, 3271, 1054, 9875, 1133, 23354, 1525, 33, 8465, 1175, 1422, 1783, 1308, 5784, 2400, 1254, 1118, 3271, 1054, 9875, 1133, 1009, 2968, 1029, 3528, 1044, 1244, 2715, 6501, 1599, 1026, 2417, 5544, 17512, 1124, 6306, 30756, 2565, 1030, 11495, 1020, 1009, 3011, 5783, 9675, 2310, 1365, 1734, 3328, 10435, 1590, 4237, 32, 2824, 26, 12687, 1233, 4350, 1206, 1487, 2400, 1254, 1072, 7510, 1009, 6939, 10283, 16422, 1580, 1801, 1500, 1430, 3631, 3958, 1006, 15842, 1005, 1026, 7333, 1049, 3366, 4521, 2814, 2535, 1009, 11878, 1006, 3164, 2177, 1403, 3234, 1533, 1133, 3981, 1009, 2750, 1233, 2799, 2528, 1271, 1844, 1726, 2128, 3229, 1533, 14468, 18, 4158, 5430, 1134, 1252, 28841, 1229, 4983, 1981, 1074, 1005, 5226, 5268, 9610, 1159, 8748, 1026, 2568, 1009, 4173, 1009, 4106, 4010, 4837, 1043, 4885, 6072, 1005, 5741, 1009, 7922, 1704, 29206, 7971, 1225, 1044, 2285, 15801, 1009, 7543, 1005, 2177, 4949, 1072, 8733, 1531, 2224, 1009, 3113, 1114, 4799, 1049, 1163, 3776, 51, 2053, 1054, 3614, 1856, 4028, 1114, 10437, 15467, 1063, 13885, 1434, 2528, 2128, 2394, 1962, 1328, 1187, 1073, 3247, 1544, 11816, 1826, 13519, 1124, 10928, 1068, 1006, 1983, 1407, 1140, 9499, 5143, 1377, 3316, 16362, 1009, 18687, 1233, 11447, 1049, 10553, 1009, 10669, 1377, 1063, 11669, 1060, 16362, 2177, 1114, 25667, 1060, 2529, 2339, 1726, 1799, 3229, 1049, 1531, 3404, 1009, 3268, 1005, 16795, 1470, 1487, 2718, 1704, 3366, 22341, 1043, 10645, 1009, 6353, 4290, 1005, 3638, 1048, 5241, 7245, 1009, 28182, 3725, 1009, 30594, 3089, 18, 8423, 1009, 1821, 4385, 1006, 1527, 1346, 1009, 6690, 1005, 4902, 1009, 24532, 4908, 1531, 1049, 3366, 2177, 2481, 14710, 1043, 1044, 17625, 21954, 1068, 7386, 9312, 1322, 10598, 1005, 1044, 2488, 25856, 1291, 1048, 17785, 16127, 1068, 1006, 11447, 1049, 10553, 1009, 1025 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8426, 1048, 1299, 1160, 1298, 3417, 1009, 5574, 32, 1006, 16108, 22448, 1324, 1006, 13206, 1009, 12163, 1026, 9550, 1106, 3933, 1128, 8714, 24954, 14106, 9585, 16093, 1014, 3965, 4333, 1044, 2386, 1005, 11641, 4417, 1096, 5149, 1428, 1096, 1026, 1184, 1655, 0, 67, 3141, 1252, 1243, 1054, 8462, 32, 5024, 24273, 1009, 3658, 1236, 5869, 22822, 1009, 8462, 1779, 1009, 3113, 1009, 3973, 1173, 14940, 2721, 15551, 0, 67, 2790, 1060, 1090, 2094, 1299, 2155, 2997, 1009, 2519, 1043, 1026, 9550, 1106, 3933, 1043, 1006, 2642, 14939, 1009, 7485, 1498, 7473, 2170, 4108, 19589, 18, 1043, 1006, 16108, 1084, 10397, 1005, 1026, 2293, 1655, 0, 4696, 65, 0, 67, 2691, 4874, 5826, 1789, 7452, 11234, 1108, 1005, 1180, 1529, 3951, 1802, 2458, 1208, 1068, 1026, 2790, 1213, 5392, 1060, 6500, 32, 10094, 6185, 1096, 1026, 9550, 4341, 20, 3713, 7917, 1009, 12099, 1024, 1072, 15738, 1009, 3548, 1043, 1006, 1712, 5020, 1009, 13847, 1072, 3591, 7043, 1955, 1165, 1471, 37, 1655, 0, 67, 2503, 3247, 15294, 1428, 1096, 1026, 21048, 7333, 1009, 8462, 5869, 22822, 1009, 8462, 3295, 1009, 3113, 1009, 3973, 1173, 26901, 4673, 15551, 0, 67, 17145, 1264, 2947, 2125, 3229, 1233, 23957, 2494, 16928, 1616, 2572, 3754, 2464, 1726, 21881, 1072, 3878, 1026, 9550, 4341, 1054, 8462, 2155, 12742, 2128, 8956, 4499, 1212, 1400, 1160, 1655, 0, 67, 22286, 7, 4293, 29220, 22846, 1356, 7640, 2011, 7, 29653, 12875, 18, 8067, 1060, 8116, 1048, 1026, 9550, 4341, 24864, 20, 4714, 1043, 5099, 13538, 1068, 8462, 1054, 3268, 1005, 3074, 3822, 9468, 1324, 2340, 5029, 1468, 1048, 1160, 2177, 2481, 8147, 12871, 5795, 12199, 1273, 9665, 1392, 1009, 12163, 1043, 1006, 9582, 1128, 8714, 1213, 4249, 20, 3713, 4337, 1323, 2711, 1930, 6021, 1058, 18, 3711, 18, 1132, 12604, 14402, 11853, 1027, 2693, 1006, 11129, 18, 1213, 3311, 1009, 1160, 5115, 1800, 1419, 15259, 3048, 1026, 17269, 37, 7731, 1566, 18, 1493, 19370, 1357, 4022, 7, 7582, 18232, 30957, 1054, 8462, 32, 19535, 1694, 1026, 6147, 5869, 22822, 1009, 8462, 3404, 1009, 3261, 1009, 4161, 1173, 14115, 3413, 15551, 0, 67, 1846, 1116, 3039, 1295, 1079, 1044, 9674, 1049, 2790, 1009, 2979, 1049, 13740, 12787, 10422, 1009, 7485, 1498, 1042, 1870, 1571, 2947, 1026, 9550, 4341, 1565, 1063, 6443, 2309, 10522, 1195, 16064, 1140, 1356, 2956, 1655, 0, 4696, 65, 0, 67, 1853, 1049, 1048, 5184, 1800, 1006, 3028, 2919, 3631, 3958, 1006, 8928, 20, 5093, 1006, 8462, 1005, 1160, 10373, 1024, 1026, 9550, 4341, 1005, 1026, 10422, 1009, 7485, 1498, 7473, 1096, 5417, 1655, 0, 4696, 65, 0, 67, 1325, 1009, 5099, 13538, 1068, 12163, 1096, 2631, 3291, 1048, 1026, 1712, 14460, 1060, 3861, 4866, 1961, 1026, 9550, 1106, 3933, 1325, 1054, 1655, 0, 67, 18515, 1027, 1271, 15061, 1160, 5594, 1258, 1016, 1984, 1009, 2436, 1009, 4053, 1173, 18061, 2830, 15551, 0, 67, 6453, 11342, 31179, 1299, 1566, 1601, 1324, 22264, 9550, 1106, 3933, 16108, 22448, 1324, 10422, 1009, 7485, 1498, 7473, 1005, 2653, 1655, 0, 67, 1576, 1029, 5517, 1009, 7485, 1498, 7473, 32, 6020, 1907, 1005, 6365, 5869, 22822, 1009, 8462, 2978, 1009, 3353, 1009, 4053, 1173, 31404, 2721, 15551, 0, 67, 1299, 1160, 1026, 2808, 1357, 22417, 18677, 10543, 17785, 1009, 2519, 1043, 1264, 1213, 7508, 1356, 9550, 1106, 3933, 2340, 1026, 1015, 1468, 1009, 24953, 12845, 25968, 1114, 11129, 1049, 17269, 1049, 1655, 0, 67, 1, 26791, 1714, 6698, 1357, 1944, 1472, 1054, 4053, 1005, 4121, 1589, 6647, 1049, 8039, 1605, 26791, 1714, 6192, 3004, 1726, 30024, 1184, 1009, 1791, 3952, 5738, 1213, 17300, 1054, 2573, 1026, 8039, 1009, 19261, 1118, 1307, 19, 2084, 1054, 5618, 1060, 24812, 0, 6396, 1060, 1156, 6254, 7512, 1009, 3246, 15342, 7828, 2717, 3273, 1026, 25601, 1765, 1637, 4064, 2328, 1009, 2125, 31249, 6162, 1166, 1114, 6406, 1009, 18459, 1114, 1944, 8486, 3907, 1009, 8939, 1043, 13460, 1009, 8877, 2882, 1091, 23216, 4686, 1349, 21637, 18999, 15, 1005, 24655, 20008, 3377, 25338, 1026, 27704, 9846, 1006, 25768, 9348, 1294, 4679, 1782, 14725, 1005, 1006, 1831, 1986, 1006, 4701, 1009, 4763, 26046, 12362, 1957, 26872, 28155, 1017, 5189, 3340, 1072, 4133, 6304, 1533, 5618, 1160, 6409, 1261, 28147, 1060, 8976, 2596, 1068, 1132, 20583, 5247, 1048, 17618, 1026, 11348, 73, 21213, 1027, 624, 23493, 17595, 1118, 6821, 1627, 4108, 1679, 7828, 13223, 7439, 1233, 3583, 1009, 8528, 2320, 158, 5209, 1704, 8039, 9410, 1114, 2921, 11348, 1263, 5922, 624, 1005, 624, 1657, 1791, 4686, 5738, 6787, 11870, 1930, 2328, 1049, 4750, 23269, 1577, 1207, 5999, 1599, 1048, 9096, 1072, 11348, 1066, 1582, 70, 1060, 2236, 1068, 6679, 1213, 22242, 1009, 23168, 1056, 1005, 10716, 12742, 1357, 5355, 1472, 1072, 7248, 1533, 14923, 14017, 10748, 2429, 4661, 1072, 2790, 1049, 26791, 8878, 1184, 1094, 1472, 1006, 2323, 1009, 1044, 26060, 2364, 1072, 2790, 19390, 2736, 1905, 1118, 6916, 7111, 71, 1005, 10239, 1069, 1068, 1026, 5978, 5046, 21637, 1058, 2480, 1024, 1006, 12742, 1043, 1006, 21339, 3728, 11348, 23181, 2296, 4050, 9244, 1233, 7530, 1049, 16811, 3295, 17117, 1044, 7632, 1068, 1132, 6772, 1089, 29679, 1400, 1679, 3727, 13223, 1184, 1044, 2933, 1667, 9476, 5326, 1195, 18641, 2526, 1006, 5242, 1930, 1006, 5095, 3475, 1118, 21637, 1005, 8877, 2882, 3017, 1996, 1009, 4537, 1006, 1900, 3947, 1048, 24017, 1318, 1068, 1663, 1026, 1831, 2933, 85, 1356, 2017, 4346, 1704, 3435, 1169, 10688, 1348, 3750, 1079, 1132, 16918, 6436, 1006, 1681, 7142, 1184, 1072, 14679, 1100, 1309, 1516, 2204, 1486, 1006, 3971, 1009, 7342, 1072, 2803, 1009, 8859, 1187, 1064, 6290, 1533, 9013, 15513, 1049, 26791, 1714, 9846, 1044, 2649, 1732, 1233, 3583, 1187, 4679, 1158, 13223, 1511, 1026, 7887, 1563, 8628, 2569, 1094, 4701, 1060, 1080, 16260, 2283, 10523, 3017, 13064, 1157, 1207, 2570, 17063, 1114, 1807, 17677, 1207, 5999, 1069, 24017, 1026, 6414, 1477, 6460, 1068, 1663, 1026, 11348, 72, 1020, 70, 1005, 6233, 1006, 5267, 1072, 25737, 3915, 3902, 1049, 3191, 8655, 1026, 8039, 6895, 1124, 1569, 1455, 7545, 1121, 1072, 31241, 16746, 7730, 3335, 1309, 5404, 1118, 1419, 1026, 26791, 1714, 3659, 1184, 4236, 1049, 2933, 85, 1054, 6544, 1049, 16811, 24585, 2730, 22936, 1889, 1295, 27149, 1118, 2079, 5882, 1019, 1699, 1054, 1048, 24655, 7289, 1200, 5460, 2328, 1009, 1044, 3245, 1660, 5242, 2270, 1, 1972, 2306, 1836, 10069, 1006, 3069, 1054, 4431, 1068, 6534, 2122, 3733, 26409, 1187, 20834, 1046, 1400, 10961, 1048, 22059, 1020, 7559, 32, 8204, 17007, 95, 14217, 1054, 4431, 1566, 1325, 2467, 6058, 1005, 1006, 23019, 3275, 1483, 1566, 16394, 1132, 4181, 8578, 14758, 1166, 1049, 13650, 1063, 20183, 1040, 1986, 1026, 17105, 1956, 5735, 1353, 2940, 1048, 1132, 13269, 1049, 2666, 3633, 1327, 11011, 7201, 3460, 1048, 1132, 1049, 18385, 1048, 1826, 31488, 27550, 1006, 3596, 24858, 2583, 20, 2654, 17590, 1160, 5490, 21151, 9212, 1005, 1566, 3501, 1089, 1026, 2666, 1592, 1054, 12363, 1005, 3002, 3754, 1048, 1006, 3069, 4431, 1096, 1094, 5554, 2728, 1236, 1072, 3681, 1009, 3261, 1962, 20280, 1603, 1299, 1620, 1160, 9239, 1006, 3069, 1054, 12363, 29070, 1495, 1026, 4711, 1060, 27973, 2340, 1096, 2191, 4417, 17822, 1024, 1043, 1124, 18601, 1054, 4431, 1986, 4125, 9018, 3229, 22717, 2373, 46, 23497, 1925, 39, 13076, 23497, 1207, 20562, 53, 1207, 2805, 23497, 2805, 1144, 132, 37, 626, 1005, 2742, 20, 1, 4972, 1322, 2237, 1641, 1060, 5507, 3900, 18027, 1439, 3893, 31388, 5218, 93, 22712, 1096, 1094, 1641, 19119, 1009, 9097, 27719, 1126, 1043, 27627, 10823, 1615, 13118, 1685, 1049, 3009, 26378, 1026, 13337, 6191, 1005, 1124, 10873, 14319, 1048, 5, 2587, 29383, 1118, 2693, 1006, 1641, 1059, 27944, 4805, 4734, 1322, 1456, 26620, 1005, 1224, 1630, 2165, 20, 3713, 4291, 5, 18027, 1439, 1664, 1132, 4972, 1049, 1807, 5, 10641, 1631, 1049, 3009, 15862, 18, 1124, 18268, 1060, 25148, 5375, 4385, 1049, 3009, 19128, 18, 1206, 1006, 1224, 11298, 27658, 2007, 13773, 1121, 1184, 1048, 14307, 1068, 12212, 1006, 25148, 4302, 4448, 1100, 1571, 1299, 1298, 5877, 1024, 5215, 22672, 1005, 1048, 1325, 18640, 28023, 4320, 3905, 1571, 20341, 1060, 1834, 2204, 25932, 2875, 1017, 28455, 1305, 1224, 1834, 2204, 25932, 1005, 1224, 5511, 23197, 2275, 1063, 1641, 17365, 2653, 25265, 1678, 5, 2841, 1074, 1005, 13379, 21079, 1680, 1159, 10420, 1005, 21855, 2875, 1017, 28455, 1299, 1298, 1663, 1044, 2574, 1009, 2289, 2170, 2247, 1049, 8435, 26982, 1024, 1006, 5, 77, 1593, 12555, 8500, 1663, 6941, 19973, 1009, 15107, 1005, 15387, 14189, 5, 1785, 4323, 7978, 2370, 1006, 5218, 28455, 1054, 2073, 4180, 1049, 7313, 3423, 2668, 1299, 2155, 1261, 1006, 5, 1568, 1021, 1563, 1009, 2089, 1783, 1048, 10067, 1456, 11429, 1322, 1132, 18459, 1184, 5, 2502, 12932, 1009, 5099, 1006, 5218, 93, 1031, 20, 1062, 15668, 1046, 7243, 2539, 3140, 1548, 12316, 1, 1175, 15034, 3450, 1005, 25868, 6492, 3882, 1065, 3003, 32, 6743, 22786, 21, 20840, 21, 3303, 21, 1842, 54, 21, 16575, 21, 25705, 11136, 1842, 1206, 4260, 1, 7804, 1159, 5325, 1006, 6894, 1009, 1168, 4875, 1072, 4223, 90, 37, 3528, 5661, 1132, 18550, 1043, 4527, 92, 27, 1327, 1132, 1184, 7739, 6762, 1503, 9479, 1160, 1323, 1009, 6080, 79, 1043, 3819, 1495, 3004, 1565, 1766, 1184, 3398, 6762, 1006, 1807, 3364, 15, 1327, 4527, 92, 29, 4908, 31157, 1299, 1298, 1495, 2837, 1657, 1083, 4772, 19122, 1048, 3241, 1026, 22205, 1009, 1752, 5732, 20, 2605, 1026, 1009, 5670, 95, 1049, 4223, 90, 1160, 1381, 1616, 7655, 2535, 1299, 6479, 1261, 1124, 1307, 7969, 1678, 10094, 1299, 2155, 8307, 7190, 1307, 7707, 20700, 6696, 1357, 3484, 20, 1084, 7206, 1009, 1663, 2924, 17846, 9758, 5471, 1026, 4223, 90, 30355, 1907, 1068, 2837, 1132, 4965, 1206, 1006, 3069, 3092, 1006, 7819, 25, 3900, 59, 1135, 1006, 23047, 3360, 1068, 1156, 2428, 2950, 1068, 30369, 1, 1138, 2671, 1049, 2956, 1009, 1764, 2434, 19387, 1079, 11705, 2824, 15340, 27, 2744, 1054, 17871, 1018, 1009, 25594, 11090, 11234, 2176, 1009, 6171, 1348, 1242, 1005, 10504, 1071, 3083, 8242, 15, 1068, 1132, 7828, 6921, 1060, 9492, 1140, 2242, 7407, 1138, 14583, 3330, 1357, 6338, 1060, 13829, 1096, 17556, 1213, 21951, 13264, 1069, 1072, 3041, 1009, 1675, 1006, 1782, 1009, 3261, 20, 1766, 3408, 20462, 1006, 24608, 1060, 24721, 1049, 4560, 4776, 1048, 1327, 18600, 1726, 2927, 2765, 14380, 1043, 2068, 1114, 6446, 1049, 21197, 1009, 12711, 1112, 1187, 26991, 6136, 14000, 15, 7916, 1068, 1752, 1641, 17740, 93, 21322, 26375, 1030, 22440, 1004, 92, 10214, 1313, 47, 6898, 5529, 1238, 11715, 1599, 3111, 19928, 1005, 17638, 9158, 17541, 14, 58, 12776, 1124, 1982, 1389, 1018, 6515, 1594, 6196, 2187, 1069, 33, 15, 2536, 1101, 14772, 1732, 1060, 1082, 4171, 1276, 14, 57, 2795, 1069, 1005, 11375, 14628, 2536, 25906, 1047, 1009, 4983, 3446, 1068, 9114, 1049, 18628, 21249, 1276, 47, 1590, 4237, 32, 3771, 2534, 1254, 1118, 3271, 1054, 9875, 1133, 23354, 1525, 33, 8465, 1175, 1422, 1783, 1308, 5784, 2400, 1254, 1118, 3271, 1054, 9875, 1133, 1009, 2968, 1029, 3528, 1044, 1244, 2715, 6501, 1599, 1026, 2417, 5544, 17512, 1124, 6306, 30756, 2565, 1030, 11495, 1020, 1009, 3011, 5783, 9675, 2310, 1365, 1734, 3328, 10435, 1590, 4237, 32, 2824, 26, 12687, 1233, 4350, 1206, 1487, 2400, 1254, 1072, 7510, 1009, 6939, 10283, 16422, 1580, 1801, 1500, 1430, 3631, 3958, 1006, 15842, 1005, 1026, 7333, 1049, 3366, 4521, 2814, 2535, 1009, 11878, 1006, 3164, 2177, 1403, 3234, 1533, 1133, 3981, 1009, 2750, 1233, 2799, 2528, 1271, 1844, 1726, 2128, 3229, 1533, 14468, 18, 4158, 5430, 1134, 1252, 28841, 1229, 4983, 1981, 1074, 1005, 5226, 5268, 9610, 1159, 8748, 1026, 2568, 1009, 4173, 1009, 4106, 4010, 4837, 1043, 4885, 6072, 1005, 5741, 1009, 7922, 1704, 29206, 7971, 1225, 1044, 2285, 15801, 1009, 7543, 1005, 2177, 4949, 1072, 8733, 1531, 2224, 1009, 3113, 1114, 4799, 1049, 1163, 3776, 51, 2053, 1054, 3614, 1856, 4028, 1114, 10437, 15467, 1063, 13885, 1434, 2528, 2128, 2394, 1962, 1328, 1187, 1073, 3247, 1544, 11816, 1826, 13519, 1124, 10928, 1068, 1006, 1983, 1407, 1140, 9499, 5143, 1377, 3316, 16362, 1009, 18687, 1233, 11447, 1049, 10553, 1009, 10669, 1377, 1063, 11669, 1060, 16362, 2177, 1114, 25667, 1060, 2529, 2339, 1726, 1799, 3229, 1049, 1531, 3404, 1009, 3268, 1005, 16795, 1470, 1487, 2718, 1704, 3366, 22341, 1043, 10645, 1009, 6353, 4290, 1005, 3638, 1048, 5241, 7245, 1009, 28182, 3725, 1009, 30594, 3089, 18, 8423, 1009, 1821, 4385, 1006, 1527, 1346, 1009, 6690, 1005, 4902, 1009, 24532, 4908, 1531, 1049, 3366, 2177, 2481, 14710, 1043, 1044, 17625, 21954, 1068, 7386, 9312, 1322, 10598, 1005, 1044, 2488, 25856, 1291, 1048, 17785, 16127, 1068, 1006, 11447, 1049, 10553, 1009, 1025 ]

[ 1279, 1224, 17423, 1114, 2360, 3337, 1009, 1110, 1925, 2750, 11999, 1114, 13427, 1175, 1005, 1318, 8731, 1044, 2017, 2823, 1184, 27455, 1879, 13, 18402, 84, 11045, 1048, 1566, 1861, 1393, 3404, 29, 18309, 4437, 1338, 1549, 1048, 7035, 17074, 2687, 12316, 2582, 1131, 1261, 1110, 1040, 3353, 1009, 7240, 1986, 1044, 1110, 2959, 8072, 1079, 1224, 1834, 1044, 1901, 1996, 28787, 1521, 1160, 3074, 17822, 1069, 1406, 1973, 1687, 1322, 1006, 5943, 1009, 1861, 29939, 5384, 1620, 18398, 1124, 8637, 1009, 4466, 8857, 2855, 3436, 13, 18402, 31696, 7312, 1094, 3696, 6907, 1072, 6450, 1511, 1160, 1195, 3307, 4457, 5698, 1009, 1782, 4686, 23719, 1043, 1734, 7660, 5783, 1857, 10680, 1006, 1687, 32, 3807, 16457, 1048, 1616, 1160, 1026, 1765, 1075, 5920, 2572, 2154, 1309, 1299, 1058, 3449, 1044, 2574, 1043, 1006, 5143, 1434, 13008, 18402, 31696, 8, 15431, 28827, 11363, 3100, 5143, 1434, 13008, 18402, 31696, 1406, 1068, 1077, 1124, 3680, 28306, 1054, 1569, 22848, 4860, 51, 14869, 1783, 1048, 2598, 6011, 3171, 1009, 5862, 1006, 1834, 2693, 9462, 1648, 1048, 6388, 5862, 1005, 1848, 1009, 23084, 1149, 1025, 1719, 72, 1236, 1068, 1622, 4883, 8637, 1060, 17669, 1239, 2909, 1657, 8734, 1009, 12635, 1005, 4286, 21616, 1309, 1616, 1160, 1096, 4556, 1406, 1026, 12992, 2909, 8043, 1401, 3572, 2270, 8, 17665, 1325, 7003, 1009, 15779, 1005, 24935, 20, 4714, 5450, 1048, 5553, 10064, 1072, 8282, 1048, 1096, 2246, 1044, 1184, 6518, 1049, 1048, 1616, 1323, 1514, 1461, 1054, 28991, 15448, 13, 18402, 31696, 6895, 32, 7233, 150, 2653, 3171, 1068, 1026, 7065, 1356, 1428, 1124, 1783, 20707, 1861, 1667, 8144, 20707, 5862, 1159, 1094, 10587, 1009, 6250, 20, 1972, 3647, 1124, 1783, 6794, 2844, 1728, 2654, 2598, 5692, 1048, 4327, 20429, 1058, 17049, 1009, 4982, 1009, 1094, 2596, 8289, 1118, 3865, 1049, 2092, 2823, 9757, 6201, 3865, 1009, 3171, 1009, 15928, 8200, 20, 8295, 1503, 5956, 1048, 1664, 1826, 24079, 12087, 1005, 1160, 4548, 3959, 74, 3240, 2276, 1857, 2499, 14669, 1005, 3074, 3027, 1048, 31980, 25666, 1005, 14710, 1043, 2092, 26938, 25285, 1005, 4125, 1118, 1616, 1005, 2808, 1094, 2596, 3630, 1009, 6180, 1491, 2348, 15779, 1005, 4859, 11172, 1009, 1128, 8371, 11151, 1054, 1472, 1009, 14308, 1322, 18180, 1150, 3133, 2371, 75, 1048, 1687, 1160, 1096, 1006, 3964, 1006, 14308, 1009, 2596, 3630, 1072, 4299, 32, 1235, 13007, 1056, 76, 16561, 1027, 23892, 1568, 79, 9268, 5656, 1318, 9923, 1094, 6627, 1184, 23716, 4860, 54, 10990, 79, 2916, 1009, 6275, 18309, 1406, 1973, 9268, 5656, 1879, 3202, 5493, 6431, 17339, 2301, 1026, 3066, 1009, 11783, 1009, 8729, 1066, 27096, 1130, 1177, 15753, 8, 3720, 30904, 3807, 1503, 1323, 12280, 1680, 2855, 17102, 13008, 18402, 84, 11045, 1687, 1160, 1225, 1465, 1352, 1009, 6388, 1184, 2855, 2202, 1503, 6141, 1054, 1655, 1364, 6741, 1184, 5862, 7113, 1977, 1461, 1006, 2499, 2495, 1406, 1973, 9268, 5656, 2855, 17339, 1657, 3748, 1616, 2855, 3133, 3683, 1009, 1224, 7402, 1022, 2563, 1322, 5943, 1009, 23425, 1124, 2156, 8186, 17923, 9709, 1009, 2742, 81, 28561, 3994, 1043, 1132, 3398, 13007, 1241, 1074, 1032, 1544, 5143, 1434, 6848, 96, 1005, 15878, 1108, 11422, 30489, 24584, 3986, 1278, 1072, 1238, 1322, 7427, 22531, 1005, 1026, 1110, 18, 1006, 2306, 1006, 20268, 5909, 3458, 1118, 12567, 2997, 1044, 5846, 1066, 1054, 1224, 16692, 1180, 1685, 95, 2981, 6587, 1123, 2238, 24035, 7468, 85, 1058, 1026, 23313, 21517, 1206, 1160, 1044, 3129, 15698, 1406, 1973, 13008, 18402, 31696, 1986, 1026, 4299, 22160, 7206, 1009, 1323, 13878, 3144, 23062, 2808, 2088, 9650, 5445, 2823, 10153, 17604, 1048, 1596, 25673, 1009, 15928, 25827, 1005, 1846, 1596, 13898, 1402, 1009, 1456, 13002, 1005, 17618, 1026, 7176, 6431, 15753, 39, 7427, 22531, 1096, 1094, 1807, 4380, 1294, 4620, 1005, 1160, 1298, 1178, 9798, 1099, 1140, 1054, 1044, 12960, 9159, 1123, 12879, 1048, 1096, 1591, 1046, 1599, 1005, 2276, 1006, 2042, 5404, 1406, 6895, 1687, 2855, 3885, 1096, 1992, 1048, 26502, 13803, 1800, 8756, 1024, 10936, 1124, 14688, 3987, 2042, 1005, 2808, 1132, 10016, 8, 5148, 3333, 5656, 21113, 22160, 1160, 4647, 5417, 22386, 1114, 9883, 1406, 1973, 1687, 1986, 1026, 4299, 2855, 22076, 5872, 1026, 1048, 5140, 20, 3126, 1068, 1616, 1048, 8935, 1026, 2868, 1175, 15521, 1124, 1783, 1026, 1048, 1325, 10977, 25431, 10778, 1233, 2596, 1159, 2289, 16752, 13008, 18402, 31696, 2793, 15168, 23697, 8, 5384, 2257, 27363, 19993, 6683, 1406, 1973, 1687, 2855, 57, 168, 16382, 1044, 1531, 1068, 2967, 1214, 1930, 1048, 1516, 9707, 20, 1084, 1616, 1195, 19993, 1037, 1278, 8271, 1009, 15779, 20, 2654, 1160, 9133, 1616, 1837, 1702, 4248, 1005, 1837, 3606, 1783, 1005, 1096, 1044, 2017, 4299, 20, 1084, 1616, 3711, 1323, 9239, 7585, 5956, 1048, 5192, 1048, 1846, 1048, 3501, 1089, 8067, 2289, 7899, 1005, 1195, 1026, 1048, 5140, 20, 1150, 3133, 1895, 3013, 28249, 20027, 1248, 1318, 20879, 1132, 3398, 20583, 1121, 2855, 15398, 1596, 22981, 1391, 1406, 1973, 20027, 1248, 1233, 27928, 1846, 2855, 43, 1503, 3074, 6255, 2283, 3465, 1230, 2855, 10284, 1010, 1434, 13008, 18402, 31696, 1005, 23892, 1568, 79, 9268, 5656, 24584, 3986, 1278, 1322, 1224, 5943, 1009, 5862, 1005, 12697, 1060, 3289, 16517, 1054, 1235, 2017, 2742, 81, 4299, 7426, 8995, 2100, 56, 1010, 1434, 13008, 18402, 84, 11045, 1048, 7889, 8731, 1493, 1184, 1033, 50, 1184, 23716, 1049, 15695, 20491, 1048, 1569, 6978, 1475, 1312, 1043, 15928, 8200, 18661, 24079, 156, 1412, 8, 1043, 1456, 3171, 1009, 1861, 1667, 61, 1137, 1568, 79, 9268, 5656, 1318, 9923, 1048, 2284, 8630, 6275, 18309, 1005, 1159, 2284, 3778, 1026, 3810, 3066, 1009, 11783, 1009, 8729, 1066, 27096, 1130, 1177, 6346, 24575, 3986, 1278, 1322, 5943, 1009, 5862, 1160, 1096, 1026, 3872, 12786, 2382, 18255, 1048, 1132, 3398, 20583, 1121, 5313, 3607, 1026, 2868, 1318, 9847, 1026, 24375, 1060, 20268, 1054, 6019, 1009, 9159, 1123, 2238, 1005, 1006, 4380, 1060, 7427, 22531, 1114, 3432, 3336, 1, 13157, 1094, 4680, 2042, 1009, 25699, 19179, 1054, 16879, 30597, 1571, 1094, 5475, 3010, 23374, 3250, 17167, 12727, 1870, 12639, 1463, 3425, 1009, 20516, 19637, 18605, 1094, 5326, 1072, 14364, 9254, 1009, 7386, 1026, 18634, 2352, 1100, 1094, 5475, 1240, 13669, 1005, 3838, 15715, 3596, 1005, 11672, 71, 1072, 2191, 1271, 13573, 18852, 1009, 9467, 1669, 1196, 1845, 5475, 2257, 4947, 2739, 14204, 10635, 1005, 1058, 17822, 1412, 1043, 1006, 7064, 31237, 1005, 27671, 1072, 3152, 1049, 13948, 4322, 2268, 1006, 5475, 1318, 1516, 20129, 1005, 1460, 1041, 2166, 1927, 24750, 1235, 3282, 1009, 3412, 1870, 21414, 1569, 14510, 1005, 6313, 1094, 1834, 16126, 8000, 14364, 4604, 1511, 1006, 5475, 1836, 13542, 1157, 18516, 1114, 20504, 1049, 22483, 1044, 8787, 7981, 18, 28223, 16396, 1054, 4188, 1006, 1687, 1043, 1044, 1238, 1009, 12522, 1005, 8942, 2338, 8787, 1160, 1516, 2143, 17222, 17167, 12727, 1870, 1044, 29533, 10311, 1005, 6971, 1048, 5857, 1213, 10308, 24899, 1054, 3902, 1009, 7342, 1068, 1235, 3867, 7640, 2011, 6592, 15677, 1058, 3260, 1393, 1060, 23121, 1264, 1160, 7704, 3417, 1009, 4877, 1094, 5223, 1009, 8942, 1005, 1249, 1388, 1043, 1026, 4466, 1005, 1006, 3722, 1060, 5475, 3172, 1058, 6708, 1079, 1043, 1456, 20045, 19677, 2585, 1224, 10954, 2051, 8006, 24067, 9158, 1005, 1006, 2596, 1159, 5747, 13542, 1024, 18516, 1043, 1026, 9772, 8385, 11600, 1006, 5475, 1558, 3205, 1224, 4005, 10423, 1005, 28871, 1526, 1159, 1044, 4474, 84, 2270, 8, 7037, 2155, 3062, 6431, 4878, 1122, 1411, 1456, 21863, 6516, 10563, 3899, 1054, 12855, 3313, 21188, 1014, 2793, 19666, 1043, 1006, 17890, 1342, 16977, 1060, 23121, 1309, 6154, 29033, 1006, 10147, 1154, 22160, 3100, 17167, 15677, 1406, 1264, 14016, 3022, 1224, 4005, 17582, 1005, 14166, 2855, 57, 1079, 6971, 1005, 26420, 1005, 24306, 1068, 1668, 12507, 2269, 1054, 3902, 1009, 7342, 1068, 1026, 2092, 3867, 7640, 2011, 15007, 5475, 1026, 9766, 29078, 3240, 1569, 8794, 6516, 10563, 3899, 18516, 1213, 9772, 2855, 43, 1026, 1048, 1381, 1299, 6141, 1048, 1503, 3002, 9602, 3527, 1043, 1616, 6431, 24822, 2513, 3205, 1224, 4005, 1030, 1253, 1236, 1009, 18310, 3313, 21188, 1014, 28950, 8505, 1006, 13611, 3155, 1060, 5475, 2855, 2066, 1096, 1094, 6869, 6972, 6637, 1126, 1044, 7196, 1009, 3722, 1005, 21132, 18, 1094, 5274, 1060, 3938, 1005, 1622, 1060, 22372, 4490, 3486, 7064, 1096, 1094, 7342, 1068, 4982, 2855, 3133, 5475, 2793, 11355, 2691, 2880, 1009, 12727, 1870, 1224, 26608, 19993, 1077, 1009, 11796, 5790, 1493, 4248, 1836, 22715, 1054, 6313, 1094, 1834, 3721, 6637, 1126, 2598, 9781, 1157, 1048, 1224, 4281, 10030, 16256, 1132, 1734, 1611, 18, 1072, 2268, 2307, 1836, 1044, 23813, 1044, 6971, 1005, 26420, 1048, 3708, 2637, 2127, 10807, 3313, 21188, 1014, 1005, 1006, 5475, 7949, 3229, 23719, 1005, 29079, 1630, 25286, 53, 6971, 6701, 1009, 1235, 3445, 1357, 5154, 1005, 1159, 1264, 1026, 15060, 1006, 5522, 1094, 12019, 11423, 1845, 23121, 1118, 1224, 5326, 6701, 1009, 1569, 8093, 12697, 1005, 13979, 76, 1229, 1009, 1159, 2284, 8452, 1019, 1400, 16661, 1043, 1962, 4369, 1005, 7692, 1005, 29854, 4850, 1009, 2252, 1124, 10232, 26134, 6592, 1026, 1638, 2845, 1006, 1058, 16714, 1322, 1026, 9254, 30597, 15677, 1005, 1006, 5475, 1058, 12215, 26916, 9491, 1819, 1058, 2808, 4202, 1054, 7189, 2338, 6971, 4454, 1026, 13948, 1058, 8505, 22189, 1005, 2862, 4576, 1224, 5131, 1624, 25158, 1157, 1009, 10027, 1068, 1235, 3867, 1807, 2011, 1113, 10778, 1233, 23121, 7209, 1068, 1927, 15811, 1096, 1184, 22715, 1054, 5417, 2039, 4492, 1195, 6598, 1188, 1043, 1044, 2017, 7549, 1009, 8208, 1005, 1094, 2360, 20297, 1356, 1622, 1060, 7342, 3038, 3834, 2284, 31996, 1048, 1592, 1006, 4863, 1271, 14546, 3012, 16256, 2089, 6963, 1048, 2693, 3616, 16631, 2257, 1094, 2042, 1068, 6242, 1005, 1048, 1224, 3486, 2042, 1581, 1034, 1006, 5865, 4303, 3144, 1, 8454, 5753, 1044, 2859, 1322, 1026, 10586, 1073, 17316, 7117, 1318, 4091, 26344, 4091, 8382, 4157, 4091, 8382, 14846, 1054, 4972, 1026, 8688, 1009, 1119, 9547, 3814, 78, 13830, 5218, 9332, 7654, 1054, 2848, 27929, 1879, 10586, 1073, 17316, 7117, 1318, 3201, 1159, 4091, 26344, 4091, 1108, 1206, 4157, 4091, 8382, 1096, 1044, 2386, 1009, 6522, 1072, 8688, 1009, 1119, 9547, 3814, 78, 1336, 10046, 1097, 5156, 1114, 8565, 1009, 4091, 2629, 3529, 1026, 13337, 1325, 11073, 1072, 7711, 1009, 1044, 1744, 1362, 5457, 1009, 12964, 1304, 3201, 1159, 4091, 1108, 9396, 19148, 25448, 1240, 13669, 1195, 9897, 1118, 4687, 1073, 17316, 7117, 3419, 1049, 2696, 1027, 3339, 1157, 4687, 18, 1026, 1535, 13562, 3858, 1072, 1852, 1049, 3009, 13227, 53, 13337, 18439, 1044, 3129, 2512, 1114, 5978, 1060, 2413, 1717, 5298, 1762, 7096, 1170, 1890, 1026, 3041, 26472, 1147, 1986, 1006, 7654, 10534, 7754, 1060, 5507, 10774, 1006, 13321, 1680, 18719, 1236, 1060, 5507, 1009, 4687, 18, 1026, 1535, 13562, 3858, 1054, 30514, 2443, 1264, 18134, 1079, 1456, 2123, 1102, 26020, 1043, 7450, 1005, 2833, 15343, 2366, 5473, 26020, 1195, 4687, 1073, 17316, 7117, 1048, 3661, 1006, 12213, 1009, 9526, 1094, 25448, 1072, 4157, 5826, 1789, 90, 1845, 3649, 1049, 13337, 1009, 1073, 17316, 1061, 2845, 1118, 2922, 1009, 30831, 2041, 1005, 1026, 13337, 6154, 1058, 4312, 1094, 25448, 15461, 1525, 15262, 1068, 1006, 2413, 2338, 13337, 1836, 31409, 2682, 5062, 1072, 3152, 1049, 4157, 5826, 1789, 7452, 1026, 1048, 1006, 4312, 1094, 3621, 19308, 1068, 10264, 1026, 9659, 17981, 3461, 20032, 1526, 10351, 2729, 1187, 31972, 1026, 10586, 1009, 1073, 17316, 1061, 1566, 2569, 2539, 4203, 11667, 1114, 2042, 6832, 1377, 42, 1677, 1026, 3009, 15862, 18, 1026, 4026, 3381, 10661, 1026, 13337, 1159, 1094, 6862, 1068, 24095, 9813, 74, 2223, 1817, 3009, 14337, 1026, 13337, 1516, 1009, 4336, 1049, 1761, 73, 1069, 1009, 25636, 14473, 1005, 18439, 1044, 3129, 15262, 1114, 5978, 1060, 5507, 1890, 1006, 3781, 1187, 18520, 4844, 46, 17684, 1026, 10586, 1073, 17316, 1061, 1096, 1094, 1271, 13847, 29238, 1184, 8124, 1009, 1119, 9547, 3814, 78, 13830, 1043, 9693, 28447, 1009, 2220, 1026, 1784, 1068, 8038, 1569, 18268, 9814, 1005, 11542, 1006, 11997, 2042, 3019, 2788, 12479, 2286, 24338, 1026, 10586, 1073, 17316, 7117, 1318, 3201, 1159, 4091, 26344, 4091, 1108, 1206, 4157, 4091, 8382, 1096, 1044, 7196, 16057, 6853, 1060, 2042, 1005, 16401, 6832, 1377, 31691, 1237, 2876, 1072, 26472, 1147, 4366, 24938, 3082, 1060, 7654, 10534, 5028, 1126, 1026, 13337, 18439, 1044, 3129, 15262, 1114, 5978, 1060, 2413, 1717, 8839, 1888, 1005, 15725, 1006, 9526, 1026, 7276, 1187, 4311, 1544, 10534, 5028, 1554, 46, 17684, 1026, 13337, 1096, 1094, 5274, 1049, 1622, 16844, 5701, 1005, 1060, 21132, 1049, 4995, 19119, 1060, 13723, 4532, 1435, 9693, 1005, 8631, 4290, 1068, 8038, 1224, 11997, 16401, 1005, 11542, 1124, 17426, 2429, 5530, 7389, 18083, 675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1279, 1224, 17423, 1114, 2360, 3337, 1009, 1110, 1925, 2750, 11999, 1114, 13427, 1175, 1005, 1318, 8731, 1044, 2017, 2823, 1184, 27455, 1879, 13, 18402, 84, 11045, 1048, 1566, 1861, 1393, 3404, 29, 18309, 4437, 1338, 1549, 1048, 7035, 17074, 2687, 12316, 2582, 1131, 1261, 1110, 1040, 3353, 1009, 7240, 1986, 1044, 1110, 2959, 8072, 1079, 1224, 1834, 1044, 1901, 1996, 28787, 1521, 1160, 3074, 17822, 1069, 1406, 1973, 1687, 1322, 1006, 5943, 1009, 1861, 29939, 5384, 1620, 18398, 1124, 8637, 1009, 4466, 8857, 2855, 3436, 13, 18402, 31696, 7312, 1094, 3696, 6907, 1072, 6450, 1511, 1160, 1195, 3307, 4457, 5698, 1009, 1782, 4686, 23719, 1043, 1734, 7660, 5783, 1857, 10680, 1006, 1687, 32, 3807, 16457, 1048, 1616, 1160, 1026, 1765, 1075, 5920, 2572, 2154, 1309, 1299, 1058, 3449, 1044, 2574, 1043, 1006, 5143, 1434, 13008, 18402, 31696, 8, 15431, 28827, 11363, 3100, 5143, 1434, 13008, 18402, 31696, 1406, 1068, 1077, 1124, 3680, 28306, 1054, 1569, 22848, 4860, 51, 14869, 1783, 1048, 2598, 6011, 3171, 1009, 5862, 1006, 1834, 2693, 9462, 1648, 1048, 6388, 5862, 1005, 1848, 1009, 23084, 1149, 1025, 1719, 72, 1236, 1068, 1622, 4883, 8637, 1060, 17669, 1239, 2909, 1657, 8734, 1009, 12635, 1005, 4286, 21616, 1309, 1616, 1160, 1096, 4556, 1406, 1026, 12992, 2909, 8043, 1401, 3572, 2270, 8, 17665, 1325, 7003, 1009, 15779, 1005, 24935, 20, 4714, 5450, 1048, 5553, 10064, 1072, 8282, 1048, 1096, 2246, 1044, 1184, 6518, 1049, 1048, 1616, 1323, 1514, 1461, 1054, 28991, 15448, 13, 18402, 31696, 6895, 32, 7233, 150, 2653, 3171, 1068, 1026, 7065, 1356, 1428, 1124, 1783, 20707, 1861, 1667, 8144, 20707, 5862, 1159, 1094, 10587, 1009, 6250, 20, 1972, 3647, 1124, 1783, 6794, 2844, 1728, 2654, 2598, 5692, 1048, 4327, 20429, 1058, 17049, 1009, 4982, 1009, 1094, 2596, 8289, 1118, 3865, 1049, 2092, 2823, 9757, 6201, 3865, 1009, 3171, 1009, 15928, 8200, 20, 8295, 1503, 5956, 1048, 1664, 1826, 24079, 12087, 1005, 1160, 4548, 3959, 74, 3240, 2276, 1857, 2499, 14669, 1005, 3074, 3027, 1048, 31980, 25666, 1005, 14710, 1043, 2092, 26938, 25285, 1005, 4125, 1118, 1616, 1005, 2808, 1094, 2596, 3630, 1009, 6180, 1491, 2348, 15779, 1005, 4859, 11172, 1009, 1128, 8371, 11151, 1054, 1472, 1009, 14308, 1322, 18180, 1150, 3133, 2371, 75, 1048, 1687, 1160, 1096, 1006, 3964, 1006, 14308, 1009, 2596, 3630, 1072, 4299, 32, 1235, 13007, 1056, 76, 16561, 1027, 23892, 1568, 79, 9268, 5656, 1318, 9923, 1094, 6627, 1184, 23716, 4860, 54, 10990, 79, 2916, 1009, 6275, 18309, 1406, 1973, 9268, 5656, 1879, 3202, 5493, 6431, 17339, 2301, 1026, 3066, 1009, 11783, 1009, 8729, 1066, 27096, 1130, 1177, 15753, 8, 3720, 30904, 3807, 1503, 1323, 12280, 1680, 2855, 17102, 13008, 18402, 84, 11045, 1687, 1160, 1225, 1465, 1352, 1009, 6388, 1184, 2855, 2202, 1503, 6141, 1054, 1655, 1364, 6741, 1184, 5862, 7113, 1977, 1461, 1006, 2499, 2495, 1406, 1973, 9268, 5656, 2855, 17339, 1657, 3748, 1616, 2855, 3133, 3683, 1009, 1224, 7402, 1022, 2563, 1322, 5943, 1009, 23425, 1124, 2156, 8186, 17923, 9709, 1009, 2742, 81, 28561, 3994, 1043, 1132, 3398, 13007, 1241, 1074, 1032, 1544, 5143, 1434, 6848, 96, 1005, 15878, 1108, 11422, 30489, 24584, 3986, 1278, 1072, 1238, 1322, 7427, 22531, 1005, 1026, 1110, 18, 1006, 2306, 1006, 20268, 5909, 3458, 1118, 12567, 2997, 1044, 5846, 1066, 1054, 1224, 16692, 1180, 1685, 95, 2981, 6587, 1123, 2238, 24035, 7468, 85, 1058, 1026, 23313, 21517, 1206, 1160, 1044, 3129, 15698, 1406, 1973, 13008, 18402, 31696, 1986, 1026, 4299, 22160, 7206, 1009, 1323, 13878, 3144, 23062, 2808, 2088, 9650, 5445, 2823, 10153, 17604, 1048, 1596, 25673, 1009, 15928, 25827, 1005, 1846, 1596, 13898, 1402, 1009, 1456, 13002, 1005, 17618, 1026, 7176, 6431, 15753, 39, 7427, 22531, 1096, 1094, 1807, 4380, 1294, 4620, 1005, 1160, 1298, 1178, 9798, 1099, 1140, 1054, 1044, 12960, 9159, 1123, 12879, 1048, 1096, 1591, 1046, 1599, 1005, 2276, 1006, 2042, 5404, 1406, 6895, 1687, 2855, 3885, 1096, 1992, 1048, 26502, 13803, 1800, 8756, 1024, 10936, 1124, 14688, 3987, 2042, 1005, 2808, 1132, 10016, 8, 5148, 3333, 5656, 21113, 22160, 1160, 4647, 5417, 22386, 1114, 9883, 1406, 1973, 1687, 1986, 1026, 4299, 2855, 22076, 5872, 1026, 1048, 5140, 20, 3126, 1068, 1616, 1048, 8935, 1026, 2868, 1175, 15521, 1124, 1783, 1026, 1048, 1325, 10977, 25431, 10778, 1233, 2596, 1159, 2289, 16752, 13008, 18402, 31696, 2793, 15168, 23697, 8, 5384, 2257, 27363, 19993, 6683, 1406, 1973, 1687, 2855, 57, 168, 16382, 1044, 1531, 1068, 2967, 1214, 1930, 1048, 1516, 9707, 20, 1084, 1616, 1195, 19993, 1037, 1278, 8271, 1009, 15779, 20, 2654, 1160, 9133, 1616, 1837, 1702, 4248, 1005, 1837, 3606, 1783, 1005, 1096, 1044, 2017, 4299, 20, 1084, 1616, 3711, 1323, 9239, 7585, 5956, 1048, 5192, 1048, 1846, 1048, 3501, 1089, 8067, 2289, 7899, 1005, 1195, 1026, 1048, 5140, 20, 1150, 3133, 1895, 3013, 28249, 20027, 1248, 1318, 20879, 1132, 3398, 20583, 1121, 2855, 15398, 1596, 22981, 1391, 1406, 1973, 20027, 1248, 1233, 27928, 1846, 2855, 43, 1503, 3074, 6255, 2283, 3465, 1230, 2855, 10284, 1010, 1434, 13008, 18402, 31696, 1005, 23892, 1568, 79, 9268, 5656, 24584, 3986, 1278, 1322, 1224, 5943, 1009, 5862, 1005, 12697, 1060, 3289, 16517, 1054, 1235, 2017, 2742, 81, 4299, 7426, 8995, 2100, 56, 1010, 1434, 13008, 18402, 84, 11045, 1048, 7889, 8731, 1493, 1184, 1033, 50, 1184, 23716, 1049, 15695, 20491, 1048, 1569, 6978, 1475, 1312, 1043, 15928, 8200, 18661, 24079, 156, 1412, 8, 1043, 1456, 3171, 1009, 1861, 1667, 61, 1137, 1568, 79, 9268, 5656, 1318, 9923, 1048, 2284, 8630, 6275, 18309, 1005, 1159, 2284, 3778, 1026, 3810, 3066, 1009, 11783, 1009, 8729, 1066, 27096, 1130, 1177, 6346, 24575, 3986, 1278, 1322, 5943, 1009, 5862, 1160, 1096, 1026, 3872, 12786, 2382, 18255, 1048, 1132, 3398, 20583, 1121, 5313, 3607, 1026, 2868, 1318, 9847, 1026, 24375, 1060, 20268, 1054, 6019, 1009, 9159, 1123, 2238, 1005, 1006, 4380, 1060, 7427, 22531, 1114, 3432, 3336, 1, 13157, 1094, 4680, 2042, 1009, 25699, 19179, 1054, 16879, 30597, 1571, 1094, 5475, 3010, 23374, 3250, 17167, 12727, 1870, 12639, 1463, 3425, 1009, 20516, 19637, 18605, 1094, 5326, 1072, 14364, 9254, 1009, 7386, 1026, 18634, 2352, 1100, 1094, 5475, 1240, 13669, 1005, 3838, 15715, 3596, 1005, 11672, 71, 1072, 2191, 1271, 13573, 18852, 1009, 9467, 1669, 1196, 1845, 5475, 2257, 4947, 2739, 14204, 10635, 1005, 1058, 17822, 1412, 1043, 1006, 7064, 31237, 1005, 27671, 1072, 3152, 1049, 13948, 4322, 2268, 1006, 5475, 1318, 1516, 20129, 1005, 1460, 1041, 2166, 1927, 24750, 1235, 3282, 1009, 3412, 1870, 21414, 1569, 14510, 1005, 6313, 1094, 1834, 16126, 8000, 14364, 4604, 1511, 1006, 5475, 1836, 13542, 1157, 18516, 1114, 20504, 1049, 22483, 1044, 8787, 7981, 18, 28223, 16396, 1054, 4188, 1006, 1687, 1043, 1044, 1238, 1009, 12522, 1005, 8942, 2338, 8787, 1160, 1516, 2143, 17222, 17167, 12727, 1870, 1044, 29533, 10311, 1005, 6971, 1048, 5857, 1213, 10308, 24899, 1054, 3902, 1009, 7342, 1068, 1235, 3867, 7640, 2011, 6592, 15677, 1058, 3260, 1393, 1060, 23121, 1264, 1160, 7704, 3417, 1009, 4877, 1094, 5223, 1009, 8942, 1005, 1249, 1388, 1043, 1026, 4466, 1005, 1006, 3722, 1060, 5475, 3172, 1058, 6708, 1079, 1043, 1456, 20045, 19677, 2585, 1224, 10954, 2051, 8006, 24067, 9158, 1005, 1006, 2596, 1159, 5747, 13542, 1024, 18516, 1043, 1026, 9772, 8385, 11600, 1006, 5475, 1558, 3205, 1224, 4005, 10423, 1005, 28871, 1526, 1159, 1044, 4474, 84, 2270, 8, 7037, 2155, 3062, 6431, 4878, 1122, 1411, 1456, 21863, 6516, 10563, 3899, 1054, 12855, 3313, 21188, 1014, 2793, 19666, 1043, 1006, 17890, 1342, 16977, 1060, 23121, 1309, 6154, 29033, 1006, 10147, 1154, 22160, 3100, 17167, 15677, 1406, 1264, 14016, 3022, 1224, 4005, 17582, 1005, 14166, 2855, 57, 1079, 6971, 1005, 26420, 1005, 24306, 1068, 1668, 12507, 2269, 1054, 3902, 1009, 7342, 1068, 1026, 2092, 3867, 7640, 2011, 15007, 5475, 1026, 9766, 29078, 3240, 1569, 8794, 6516, 10563, 3899, 18516, 1213, 9772, 2855, 43, 1026, 1048, 1381, 1299, 6141, 1048, 1503, 3002, 9602, 3527, 1043, 1616, 6431, 24822, 2513, 3205, 1224, 4005, 1030, 1253, 1236, 1009, 18310, 3313, 21188, 1014, 28950, 8505, 1006, 13611, 3155, 1060, 5475, 2855, 2066, 1096, 1094, 6869, 6972, 6637, 1126, 1044, 7196, 1009, 3722, 1005, 21132, 18, 1094, 5274, 1060, 3938, 1005, 1622, 1060, 22372, 4490, 3486, 7064, 1096, 1094, 7342, 1068, 4982, 2855, 3133, 5475, 2793, 11355, 2691, 2880, 1009, 12727, 1870, 1224, 26608, 19993, 1077, 1009, 11796, 5790, 1493, 4248, 1836, 22715, 1054, 6313, 1094, 1834, 3721, 6637, 1126, 2598, 9781, 1157, 1048, 1224, 4281, 10030, 16256, 1132, 1734, 1611, 18, 1072, 2268, 2307, 1836, 1044, 23813, 1044, 6971, 1005, 26420, 1048, 3708, 2637, 2127, 10807, 3313, 21188, 1014, 1005, 1006, 5475, 7949, 3229, 23719, 1005, 29079, 1630, 25286, 53, 6971, 6701, 1009, 1235, 3445, 1357, 5154, 1005, 1159, 1264, 1026, 15060, 1006, 5522, 1094, 12019, 11423, 1845, 23121, 1118, 1224, 5326, 6701, 1009, 1569, 8093, 12697, 1005, 13979, 76, 1229, 1009, 1159, 2284, 8452, 1019, 1400, 16661, 1043, 1962, 4369, 1005, 7692, 1005, 29854, 4850, 1009, 2252, 1124, 10232, 26134, 6592, 1026, 1638, 2845, 1006, 1058, 16714, 1322, 1026, 9254, 30597, 15677, 1005, 1006, 5475, 1058, 12215, 26916, 9491, 1819, 1058, 2808, 4202, 1054, 7189, 2338, 6971, 4454, 1026, 13948, 1058, 8505, 22189, 1005, 2862, 4576, 1224, 5131, 1624, 25158, 1157, 1009, 10027, 1068, 1235, 3867, 1807, 2011, 1113, 10778, 1233, 23121, 7209, 1068, 1927, 15811, 1096, 1184, 22715, 1054, 5417, 2039, 4492, 1195, 6598, 1188, 1043, 1044, 2017, 7549, 1009, 8208, 1005, 1094, 2360, 20297, 1356, 1622, 1060, 7342, 3038, 3834, 2284, 31996, 1048, 1592, 1006, 4863, 1271, 14546, 3012, 16256, 2089, 6963, 1048, 2693, 3616, 16631, 2257, 1094, 2042, 1068, 6242, 1005, 1048, 1224, 3486, 2042, 1581, 1034, 1006, 5865, 4303, 3144, 1, 8454, 5753, 1044, 2859, 1322, 1026, 10586, 1073, 17316, 7117, 1318, 4091, 26344, 4091, 8382, 4157, 4091, 8382, 14846, 1054, 4972, 1026, 8688, 1009, 1119, 9547, 3814, 78, 13830, 5218, 9332, 7654, 1054, 2848, 27929, 1879, 10586, 1073, 17316, 7117, 1318, 3201, 1159, 4091, 26344, 4091, 1108, 1206, 4157, 4091, 8382, 1096, 1044, 2386, 1009, 6522, 1072, 8688, 1009, 1119, 9547, 3814, 78, 1336, 10046, 1097, 5156, 1114, 8565, 1009, 4091, 2629, 3529, 1026, 13337, 1325, 11073, 1072, 7711, 1009, 1044, 1744, 1362, 5457, 1009, 12964, 1304, 3201, 1159, 4091, 1108, 9396, 19148, 25448, 1240, 13669, 1195, 9897, 1118, 4687, 1073, 17316, 7117, 3419, 1049, 2696, 1027, 3339, 1157, 4687, 18, 1026, 1535, 13562, 3858, 1072, 1852, 1049, 3009, 13227, 53, 13337, 18439, 1044, 3129, 2512, 1114, 5978, 1060, 2413, 1717, 5298, 1762, 7096, 1170, 1890, 1026, 3041, 26472, 1147, 1986, 1006, 7654, 10534, 7754, 1060, 5507, 10774, 1006, 13321, 1680, 18719, 1236, 1060, 5507, 1009, 4687, 18, 1026, 1535, 13562, 3858, 1054, 30514, 2443, 1264, 18134, 1079, 1456, 2123, 1102, 26020, 1043, 7450, 1005, 2833, 15343, 2366, 5473, 26020, 1195, 4687, 1073, 17316, 7117, 1048, 3661, 1006, 12213, 1009, 9526, 1094, 25448, 1072, 4157, 5826, 1789, 90, 1845, 3649, 1049, 13337, 1009, 1073, 17316, 1061, 2845, 1118, 2922, 1009, 30831, 2041, 1005, 1026, 13337, 6154, 1058, 4312, 1094, 25448, 15461, 1525, 15262, 1068, 1006, 2413, 2338, 13337, 1836, 31409, 2682, 5062, 1072, 3152, 1049, 4157, 5826, 1789, 7452, 1026, 1048, 1006, 4312, 1094, 3621, 19308, 1068, 10264, 1026, 9659, 17981, 3461, 20032, 1526, 10351, 2729, 1187, 31972, 1026, 10586, 1009, 1073, 17316, 1061, 1566, 2569, 2539, 4203, 11667, 1114, 2042, 6832, 1377, 42, 1677, 1026, 3009, 15862, 18, 1026, 4026, 3381, 10661, 1026, 13337, 1159, 1094, 6862, 1068, 24095, 9813, 74, 2223, 1817, 3009, 14337, 1026, 13337, 1516, 1009, 4336, 1049, 1761, 73, 1069, 1009, 25636, 14473, 1005, 18439, 1044, 3129, 15262, 1114, 5978, 1060, 5507, 1890, 1006, 3781, 1187, 18520, 4844, 46, 17684, 1026, 10586, 1073, 17316, 1061, 1096, 1094, 1271, 13847, 29238, 1184, 8124, 1009, 1119, 9547, 3814, 78, 13830, 1043, 9693, 28447, 1009, 2220, 1026, 1784, 1068, 8038, 1569, 18268, 9814, 1005, 11542, 1006, 11997, 2042, 3019, 2788, 12479, 2286, 24338, 1026, 10586, 1073, 17316, 7117, 1318, 3201, 1159, 4091, 26344, 4091, 1108, 1206, 4157, 4091, 8382, 1096, 1044, 7196, 16057, 6853, 1060, 2042, 1005, 16401, 6832, 1377, 31691, 1237, 2876, 1072, 26472, 1147, 4366, 24938, 3082, 1060, 7654, 10534, 5028, 1126, 1026, 13337, 18439, 1044, 3129, 15262, 1114, 5978, 1060, 2413, 1717, 8839, 1888, 1005, 15725, 1006, 9526, 1026, 7276, 1187, 4311, 1544, 10534, 5028, 1554, 46, 17684, 1026, 13337, 1096, 1094, 5274, 1049, 1622, 16844, 5701, 1005, 1060, 21132, 1049, 4995, 19119, 1060, 13723, 4532, 1435, 9693, 1005, 8631, 4290, 1068, 8038, 1224, 11997, 16401, 1005, 11542, 1124, 17426, 2429, 5530, 7389, 18083, 675 ]

[ 13399, 15951, 1257, 1063, 13221, 15092, 1569, 15951, 29168, 1043, 1006, 4691, 9201, 21483, 4391, 1049, 10519, 27782, 1005, 15885, 1213, 3184, 20, 3423, 2668, 1096, 22478, 1356, 1449, 1180, 24887, 1006, 25279, 1026, 1570, 31383, 1006, 3821, 1005, 1026, 1570, 7839, 1418, 1006, 8100, 20, 1257, 1257, 22713, 6773, 1082, 2101, 5625, 19480, 12867, 11667, 1257, 13221, 1096, 11298, 1118, 1224, 23104, 8506, 28174, 1009, 14811, 28, 6418, 2718, 15, 3121, 1726, 1569, 28668, 675, 1509, 1728, 6472, 1751, 1271, 5852, 26752, 1005, 1860, 7175, 88, 1948, 6997, 1138, 1908, 1225, 1044, 2285, 10745, 1009, 11723, 16150, 1035, 2198, 3628, 1675, 6435, 1349, 1043, 2916, 1009, 3295, 29, 1847, 3050, 3567, 1257, 22713, 8267, 5931, 16330, 1006, 3484, 1257, 9075, 1157, 1054, 2612, 5680, 28493, 1006, 3484, 1233, 4960, 12638, 1063, 13289, 1060, 13221, 1325, 4725, 1072, 15453, 1060, 11229, 1114, 12124, 3821, 1060, 21083, 1187, 1106, 1828, 73, 152, 1678, 1005, 15092, 1569, 15951, 29168, 1043, 1006, 4691, 9201, 21483, 4391, 1049, 10519, 27782, 1005, 4365, 1022, 2275, 4685, 1096, 28240, 1356, 1570, 1180, 2681, 2274, 1356, 1570, 31383, 1005, 1356, 1570, 7839, 12850, 1005, 4836, 28668, 675, 1509, 1728, 1, 1424, 2068, 3068, 2649, 9969, 1026, 3142, 5179, 1461, 1668, 4168, 37, 22036, 4225, 2063, 32, 8106, 1026, 6502, 1096, 16137, 1124, 8582, 1826, 23904, 1026, 1048, 1503, 1836, 7153, 20, 1063, 2444, 1048, 1299, 2598, 3241, 2497, 1054, 6019, 1009, 14033, 1096, 1094, 1944, 4809, 1005, 2598, 19450, 3814, 1065, 1054, 1224, 5297, 1006, 3364, 1271, 12265, 2307, 1566, 1596, 2398, 5010, 15369, 1511, 1503, 9470, 1026, 2092, 1831, 1072, 2738, 1187, 1646, 1158, 1616, 4834, 2281, 1184, 7048, 18, 2340, 1837, 10873, 8582, 9781, 2012, 7978, 28548, 1309, 2364, 1072, 2092, 10195, 3419, 1503, 1566, 2257, 26827, 1124, 3469, 6851, 7823, 2654, 1160, 5179, 12075, 1006, 3364, 1271, 1783, 1225, 7549, 3707, 5434, 1068, 2837, 1124, 8582, 25717, 1072, 28739, 21567, 32, 1257, 36, 1138, 22348, 10273, 31566, 6136, 15, 2656, 33, 1071, 2599, 15, 4499, 33, 1257, 1063, 3484, 1096, 2083, 27452, 1026, 3142, 1160, 5179, 1461, 1668, 25093, 1, 14327, 2156, 15515, 1060, 2020, 2145, 1192, 14465, 2643, 1026, 1592, 7856, 37, 1257, 1138, 1720, 1049, 4796, 2033, 1191, 1060, 5133, 4128, 1342, 16040, 1126, 1006, 4923, 1014, 1629, 1871, 1009, 16040, 1100, 1048, 3901, 4398, 5949, 1257, 1138, 1720, 1049, 4796, 1096, 21472, 1060, 5133, 4128, 1342, 1006, 4950, 1042, 1126, 1006, 4923, 1014, 1629, 1871, 1009, 1006, 4950, 1042, 1100, 1048, 3901, 14250, 675, 4860, 57, 2334, 9389, 1124, 15515, 2643, 1026, 1592, 3927, 2270, 1764, 1657, 2156, 7320, 2625, 1009, 3754, 1048, 1026, 1720, 1049, 4796, 3904, 1060, 5133, 4128, 1342, 2951, 4950, 4737, 8, 1048, 1096, 1094, 1871, 2127, 1060, 5133, 2951, 4950, 1042, 1093, 8, 1005, 3901, 2637, 1159, 1094, 3069, 14250, 1049, 1720, 2100, 1, 2458, 3893, 1118, 7855, 1849, 1091, 1371, 3436, 8968, 7, 9627, 1720, 1096, 5837, 21983, 1005, 1503, 3100, 1044, 2550, 1009, 6924, 2559, 3350, 1118, 12094, 1060, 8719, 1909, 15048, 12169, 89, 7595, 26077, 4509, 8242, 63, 57, 1565, 1, 4032, 1014, 2513, 12155, 22502, 12155, 2306, 1973, 1150, 2584, 3289, 6054, 1184, 1009, 1910, 2880, 20138, 8071, 3877, 1006, 2511, 3484, 1072, 5357, 32, 3316, 7565, 4897, 5328, 3943, 1692, 28066, 3147, 1313, 12719, 1063, 2735, 9329, 1330, 12123, 7723, 6133, 1054, 1044, 11829, 1009, 3761, 1009, 21878, 1068, 1006, 1073, 3434, 71, 12298, 17480, 19632, 11352, 1409, 1073, 3434, 1126, 11413, 4475, 3782, 1096, 1094, 3484, 10758, 37, 4499, 1206, 15893, 1257, 21567, 12943, 15753, 57, 2334, 1006, 7565, 3943, 1692, 28066, 3147, 1313, 12719, 1063, 2735, 9329, 1330, 12123, 7723, 7981, 1054, 1044, 11829, 1009, 3761, 1009, 21878, 1068, 1006, 1073, 3434, 71, 12298, 17480, 19632, 11352, 1409, 1073, 3434, 1126, 11413, 4475, 1776, 2268, 1006, 4599, 23021, 1049, 12926, 1004, 4039, 1150, 2584, 3289, 6054, 1006, 5865, 1910, 2880, 8, 1620, 1096, 20723, 1236, 1005, 22509, 1006, 2754, 1143, 5600, 2966, 1026, 10470, 1009, 14099, 8366, 9002, 31066, 1528, 1114, 3832, 1009, 11380, 2100, 1, 2800, 1094, 3271, 1976, 17944, 2688, 7963, 1009, 3560, 1857, 2643, 4777, 132, 2512, 1178, 5573, 1005, 1572, 4468, 1213, 17944, 13164, 1009, 24102, 3316, 3271, 1976, 6344, 1024, 1569, 10085, 1121, 4626, 3273, 11970, 1580, 1054, 2088, 3328, 1009, 28832, 1005, 9202, 1026, 1048, 3901, 1068, 1857, 17590, 20, 3423, 2668, 1044, 11091, 1976, 2997, 2127, 4022, 1213, 3489, 1009, 2729, 5633, 1072, 7223, 2340, 1616, 1096, 1026, 1048, 6178, 2177, 3442, 17885, 21893, 17944, 13164, 1009, 3560, 1976, 1178, 20891, 1118, 1094, 8239, 1048, 1268, 3645, 1006, 1991, 1346, 1206, 19421, 1048, 19538, 71, 3530, 1969, 10433, 3782, 18450, 1006, 16891, 1620, 1184, 1026, 9797, 1005, 1026, 24482, 1049, 11091, 1118, 1456, 7963, 1009, 24102, 1257, 2358, 1549, 1096, 1044, 7228, 1365, 1044, 6819, 1005, 1044, 3356, 6633, 1138, 6819, 1325, 27011, 1322, 3473, 22325, 11473, 1044, 6737, 1009, 13490, 1060, 4380, 6268, 1685, 1005, 31624, 6750, 1357, 3484, 6268, 1685, 1005, 1049, 28331, 6633, 29343, 1371, 1009, 1048, 1026, 6268, 1577, 7845, 1118, 1048, 1857, 6470, 1006, 1224, 14346, 1138, 12590, 1298, 4347, 2073, 2285, 1009, 10842, 2223, 1138, 6268, 1577, 1976, 4347, 1356, 2444, 2156, 10842, 2223, 1, 11187, 32, 1720, 1246, 1766, 15592, 82, 7174, 9272, 1246, 15088, 1176, 2238, 56, 9005, 1246, 7978, 4776, 6228, 1009, 4209, 1246, 19249, 7479, 3033, 1246, 1841, 20, 3713, 1298, 7190, 1094, 7565, 1322, 3530, 1858, 4777, 8822, 15592, 82, 1248, 1096, 1044, 9868, 4431, 1048, 4351, 6022, 21527, 1005, 1096, 11265, 1068, 29185, 1043, 1094, 6228, 4612, 1009, 19139, 1, 5707, 2321, 2982, 11884, 3642, 22502, 71, 3130, 5344, 1096, 1026, 21080, 1049, 9381, 1060, 1834, 2733, 12296, 1069, 1118, 17511, 1081, 19671, 1072, 2403, 3730, 1016, 1468, 20138, 1257, 1063, 3484, 1006, 2237, 4960, 12638, 8, 15753, 53, 21080, 1049, 9381, 1060, 1834, 2733, 12296, 1140, 1118, 17511, 1081, 19671, 1072, 2403, 3730, 1016, 1468, 8, 1096, 5452, 75, 4828, 95, 2100, 1, 5452, 9830, 5639, 32, 2591, 1164, 2847, 1090, 1081, 2860, 11845, 1096, 8846, 1114, 3399, 1014, 27724, 1137, 1397, 11728, 6754, 1118, 6643, 1528, 16479, 29679, 1114, 2750, 6746, 1049, 3009, 7745, 8846, 1114, 21085, 2847, 2173, 18960, 1377, 1063, 2591, 1164, 2847, 4634, 23551, 1048, 1195, 21041, 1195, 6754, 1072, 3009, 11583, 1118, 1106, 4189, 90, 1163, 6792, 18437, 1171, 4670, 17694, 5764, 1005, 12436, 27680, 4000, 1043, 2068, 1114, 21085, 2847, 9755, 27250, 4983, 6226, 3388, 1054, 1090, 1081, 2673, 2257, 3778, 1118, 1807, 1005, 1807, 1094, 21085, 2847, 1403, 1172, 1097, 8846, 1114, 21085, 2847, 19314, 1005, 6167, 9755, 20, 11693, 17724, 1060, 21085, 2847, 9755, 17879, 1118, 3018, 15171, 1538, 61, 13, 21, 13, 93, 13, 1054, 1472, 1009, 1538, 60, 13, 21, 13, 92, 13, 12617, 1379, 1680, 1114, 3832, 1009, 13144, 20, 1257, 9072, 22900, 1006, 2237, 17846, 1058, 9959, 1094, 3484, 26397, 1160, 18689, 1178, 12252, 2154, 2470, 75, 1150, 1146, 2012, 8, 3692, 1551, 1048, 21085, 2847, 1009, 2143, 1908, 1006, 2591, 1164, 2847, 4634, 23551, 2569, 1224, 2068, 6431, 3133, 2591, 1164, 2847, 4634, 23551, 1060, 1338, 4391, 9048, 1224, 2068, 1060, 21085, 2847, 9755, 27250, 3126, 5447, 1072, 3009, 11583, 1118, 1106, 4189, 90, 1163, 6792, 18437, 1171, 4670, 17694, 5764, 1005, 12436, 27680, 4000, 20, 1, 3064, 1162, 1694, 1006, 2237, 4960, 32, 1257, 36, 3398, 5635, 1009, 3504, 2720, 13017, 19494, 6780, 31114, 1048, 18065, 37, 4777, 8822, 3399, 4516, 14302, 13268, 1138, 2535, 1187, 2138, 2365, 1195, 18950, 1356, 2045, 3399, 4516, 5401, 2223, 3204, 2535, 1195, 1322, 1058, 1026, 2671, 1187, 4620, 3012, 8661, 1026, 3761, 1009, 16713, 2088, 6638, 4781, 1554, 1138, 12609, 6303, 1048, 1026, 3761, 2257, 1026, 3282, 1009, 16713, 1132, 6638, 1118, 3865, 1009, 2637, 3509, 1009, 6685, 1009, 24672, 1026, 1048, 4279, 1679, 14267, 8748, 2266, 1305, 1048, 1026, 2671, 1132, 11964, 1231, 20, 7804, 1026, 2045, 3399, 4516, 14302, 4857, 7, 1, 4954, 159, 1006, 4960, 32, 11955, 1026, 2859, 1005, 13077, 1006, 1853, 3484, 20, 19984, 32, 4116, 2191, 24075, 1006, 3907, 1009, 12124, 2257, 16326, 27802, 6734, 23570, 1072, 1015, 84, 1965, 5594, 3144, 2656, 1836, 10545, 2270, 3735, 1026, 6680, 1836, 14822, 1006, 1663, 1094, 18430, 1068, 5470, 1044, 2717, 1672, 5857, 1094, 11454, 1005, 1044, 1742, 12423, 1150, 10778, 3453, 1096, 1094, 18151, 1623, 1009, 22004, 1009, 9373, 24603, 1006, 23223, 1786, 2923, 18, 7312, 1026, 3453, 1054, 1224, 10899, 1005, 19346, 1094, 18151, 1623, 1009, 22004, 1009, 9373, 20, 1063, 23223, 11981, 1792, 1006, 18151, 1623, 1068, 1026, 1742, 4693, 1048, 31457, 1379, 1224, 1963, 5160, 12805, 1068, 1224, 23223, 1005, 26879, 7311, 9860, 7104, 1299, 3711, 11139, 6363, 6431, 3943, 76, 1023, 1189, 1117, 2100, 4490, 23223, 23692, 1122, 1079, 1044, 15738, 1009, 1543, 17098, 2509, 16396, 20, 10119, 25357, 1026, 15095, 1043, 1418, 1006, 20496, 20, 1205, 1819, 9282, 1026, 6680, 1195, 1495, 1857, 1005, 8583, 9220, 1328, 15658, 2339, 22846, 18, 1299, 1225, 1006, 7061, 1009, 1261, 1006, 9272, 5372, 5602, 2340, 1299, 1096, 1026, 2930, 3114, 85, 12899, 2100, 19605, 1184, 1009, 1044, 3681, 1206, 8435, 1044, 4604, 1026, 15095, 1460, 2450, 2923, 2328, 1060, 23543, 1081, 15172, 1571, 1264, 5747, 2593, 14780, 31211, 1026, 1048, 5969, 2865, 1026, 6680, 1511, 1264, 3475, 1006, 6530, 1068, 2979, 1060, 8227, 1049, 7658, 20, 3735, 1026, 15095, 3708, 1044, 12899, 4659, 1114, 23543, 1081, 15172, 1264, 10845, 1094, 4671, 8344, 1072, 15799, 1048, 1264, 6100, 3205, 1309, 1006, 3907, 1049, 19142, 3179, 1475, 3205, 1124, 6828, 12923, 1048, 1264, 10845, 1072, 15799, 2829, 3179, 1487, 3211, 1138, 6680, 1836, 3822, 22591, 1005, 7600, 1664, 1132, 1456, 19811, 14805, 1554, 1766, 11988, 6884, 1006, 4537, 1044, 1986, 1026, 18734, 1150, 30, 2081, 1799, 2084, 1799, 25967, 1715, 1026, 15095, 20200, 1184, 6518, 1005, 3652, 4457, 21893, 1511, 1006, 15312, 71, 4671, 8344, 1195, 16177, 1072, 11527, 3085, 1100, 1026, 15095, 18948, 1068, 11331, 1024, 1006, 4786, 1009, 1224, 23223, 1005, 5543, 1114, 23543, 1081, 29261, 7311, 9860, 7104, 2429, 1472, 1325, 1054, 4982, 1406, 1973, 1026, 15095, 1043, 11274, 20, 1063, 23223, 1048, 1058, 4312, 1026, 5620, 3114, 85, 12899, 1195, 15541, 1094, 18151, 1623, 1009, 22004, 1009, 9373, 1118, 1235, 15700, 1667, 2800, 1224, 23223, 1159, 11449, 1026, 15095, 23692, 1122, 1079, 1044, 15738, 1009, 1543, 17098, 2509, 1054, 1224, 13483, 1377, 22502, 12155, 1138, 1048, 1299, 7596, 1049, 6680, 1060, 23543, 20368, 37, 18792, 32, 1063, 32, 5570, 1065, 1793, 20, 1106, 32, 1633, 1091, 1009, 28069, 25082, 10119, 1686, 3617, 1119, 32, 8605, 14028, 20, 1257, 1063, 3484, 12638, 8, 6497, 32, 1633, 1091, 1009, 28069, 1, 1175, 3713, 1976, 23188, 1044, 4367, 1068, 1048, 2446, 1009, 19172, 1026, 14556, 2155, 12212, 1175, 3713, 1381, 3913, 15906, 1068, 1026, 28720, 1048, 2155, 12212, 1068, 1026, 3182, 1175, 2804, 6080, 1006, 18350, 1048, 2155, 3881, 4882, 1068, 3062, 1175, 3713, 5090, 1006, 3164, 1009, 11690, 12883, 1525, 1068, 1026, 28720, 1175, 1084, 2276, 1299, 10259, 1026, 28720, 21444, 1026, 14556, 1068, 1026, 3182, 1175, 3316, 1472, 1054, 4689, 5395, 1126, 1026, 14556, 2177, 10053, 1571, 1195, 5159, 2270, 5344, 1298, 1178, 1026, 1831, 5628, 1049, 2568, 37, 1257, 21567, 25500, 1831, 5628, 1072, 2568, 2909, 7556, 1026, 8208, 1049, 14556, 1005, 1026, 2446, 1009, 19172, 1048, 3135, 2593, 1068, 10881, 1989, 8208, 20, 3782, 8981, 8316, 6863, 1159, 1006, 11332, 18, 1006, 17239, 1005, 1006, 21535, 1060, 4689, 5395, 1126, 1680, 1159, 1006, 2236, 1009, 8716, 23936, 1005, 1006, 9178, 1060, 6280, 20, 3316, 1472, 1048, 1132, 9658, 1060, 19172, 1327, 2941, 2585, 1006, 14025, 1005, 1132, 9088, 1009, 4711, 1049, 14556, 1693, 1178, 10682, 3983, 1, 3730, 11700, 95, 1067, 5607, 1071, 95, 1139, 1767, 15, 10811, 9803, 1094, 2919, 1009, 8862, 32, 9320, 7272, 17141, 18, 25646, 1173, 16614, 8977, 1049, 7658, 18, 2191, 1009, 27279, 7538, 18, 2386, 15869, 30648, 1411, 28129, 6912, 1126, 12930, 2403, 1206, 2011, 2726, 1100, 1048, 4783, 1026, 3479, 11512, 37, 1257, 1063, 12943, 15753, 53, 3479, 3730, 11700, 95, 1067, 5607, 1071, 95, 1139, 1767, 14194, 11512, 1233, 4783, 1009, 5813, 4707, 1009, 5407, 2100, 3782, 2755, 2246, 1062, 11700, 95, 1067, 5607, 1096, 1044, 8030, 7618, 1009, 1373, 1192, 1364, 1048, 1195, 8354, 1054, 1578, 6795, 1005, 1195, 3778, 3587, 1068, 21367, 11703, 1060, 5310, 1068, 1006, 17180, 20, 9072, 1096, 6508, 1069, 1159, 1044, 7618, 1009, 11043, 1054, 11279, 93, 22712, 26765, 10634, 1096, 1044 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 13399, 15951, 1257, 1063, 13221, 15092, 1569, 15951, 29168, 1043, 1006, 4691, 9201, 21483, 4391, 1049, 10519, 27782, 1005, 15885, 1213, 3184, 20, 3423, 2668, 1096, 22478, 1356, 1449, 1180, 24887, 1006, 25279, 1026, 1570, 31383, 1006, 3821, 1005, 1026, 1570, 7839, 1418, 1006, 8100, 20, 1257, 1257, 22713, 6773, 1082, 2101, 5625, 19480, 12867, 11667, 1257, 13221, 1096, 11298, 1118, 1224, 23104, 8506, 28174, 1009, 14811, 28, 6418, 2718, 15, 3121, 1726, 1569, 28668, 675, 1509, 1728, 6472, 1751, 1271, 5852, 26752, 1005, 1860, 7175, 88, 1948, 6997, 1138, 1908, 1225, 1044, 2285, 10745, 1009, 11723, 16150, 1035, 2198, 3628, 1675, 6435, 1349, 1043, 2916, 1009, 3295, 29, 1847, 3050, 3567, 1257, 22713, 8267, 5931, 16330, 1006, 3484, 1257, 9075, 1157, 1054, 2612, 5680, 28493, 1006, 3484, 1233, 4960, 12638, 1063, 13289, 1060, 13221, 1325, 4725, 1072, 15453, 1060, 11229, 1114, 12124, 3821, 1060, 21083, 1187, 1106, 1828, 73, 152, 1678, 1005, 15092, 1569, 15951, 29168, 1043, 1006, 4691, 9201, 21483, 4391, 1049, 10519, 27782, 1005, 4365, 1022, 2275, 4685, 1096, 28240, 1356, 1570, 1180, 2681, 2274, 1356, 1570, 31383, 1005, 1356, 1570, 7839, 12850, 1005, 4836, 28668, 675, 1509, 1728, 1, 1424, 2068, 3068, 2649, 9969, 1026, 3142, 5179, 1461, 1668, 4168, 37, 22036, 4225, 2063, 32, 8106, 1026, 6502, 1096, 16137, 1124, 8582, 1826, 23904, 1026, 1048, 1503, 1836, 7153, 20, 1063, 2444, 1048, 1299, 2598, 3241, 2497, 1054, 6019, 1009, 14033, 1096, 1094, 1944, 4809, 1005, 2598, 19450, 3814, 1065, 1054, 1224, 5297, 1006, 3364, 1271, 12265, 2307, 1566, 1596, 2398, 5010, 15369, 1511, 1503, 9470, 1026, 2092, 1831, 1072, 2738, 1187, 1646, 1158, 1616, 4834, 2281, 1184, 7048, 18, 2340, 1837, 10873, 8582, 9781, 2012, 7978, 28548, 1309, 2364, 1072, 2092, 10195, 3419, 1503, 1566, 2257, 26827, 1124, 3469, 6851, 7823, 2654, 1160, 5179, 12075, 1006, 3364, 1271, 1783, 1225, 7549, 3707, 5434, 1068, 2837, 1124, 8582, 25717, 1072, 28739, 21567, 32, 1257, 36, 1138, 22348, 10273, 31566, 6136, 15, 2656, 33, 1071, 2599, 15, 4499, 33, 1257, 1063, 3484, 1096, 2083, 27452, 1026, 3142, 1160, 5179, 1461, 1668, 25093, 1, 14327, 2156, 15515, 1060, 2020, 2145, 1192, 14465, 2643, 1026, 1592, 7856, 37, 1257, 1138, 1720, 1049, 4796, 2033, 1191, 1060, 5133, 4128, 1342, 16040, 1126, 1006, 4923, 1014, 1629, 1871, 1009, 16040, 1100, 1048, 3901, 4398, 5949, 1257, 1138, 1720, 1049, 4796, 1096, 21472, 1060, 5133, 4128, 1342, 1006, 4950, 1042, 1126, 1006, 4923, 1014, 1629, 1871, 1009, 1006, 4950, 1042, 1100, 1048, 3901, 14250, 675, 4860, 57, 2334, 9389, 1124, 15515, 2643, 1026, 1592, 3927, 2270, 1764, 1657, 2156, 7320, 2625, 1009, 3754, 1048, 1026, 1720, 1049, 4796, 3904, 1060, 5133, 4128, 1342, 2951, 4950, 4737, 8, 1048, 1096, 1094, 1871, 2127, 1060, 5133, 2951, 4950, 1042, 1093, 8, 1005, 3901, 2637, 1159, 1094, 3069, 14250, 1049, 1720, 2100, 1, 2458, 3893, 1118, 7855, 1849, 1091, 1371, 3436, 8968, 7, 9627, 1720, 1096, 5837, 21983, 1005, 1503, 3100, 1044, 2550, 1009, 6924, 2559, 3350, 1118, 12094, 1060, 8719, 1909, 15048, 12169, 89, 7595, 26077, 4509, 8242, 63, 57, 1565, 1, 4032, 1014, 2513, 12155, 22502, 12155, 2306, 1973, 1150, 2584, 3289, 6054, 1184, 1009, 1910, 2880, 20138, 8071, 3877, 1006, 2511, 3484, 1072, 5357, 32, 3316, 7565, 4897, 5328, 3943, 1692, 28066, 3147, 1313, 12719, 1063, 2735, 9329, 1330, 12123, 7723, 6133, 1054, 1044, 11829, 1009, 3761, 1009, 21878, 1068, 1006, 1073, 3434, 71, 12298, 17480, 19632, 11352, 1409, 1073, 3434, 1126, 11413, 4475, 3782, 1096, 1094, 3484, 10758, 37, 4499, 1206, 15893, 1257, 21567, 12943, 15753, 57, 2334, 1006, 7565, 3943, 1692, 28066, 3147, 1313, 12719, 1063, 2735, 9329, 1330, 12123, 7723, 7981, 1054, 1044, 11829, 1009, 3761, 1009, 21878, 1068, 1006, 1073, 3434, 71, 12298, 17480, 19632, 11352, 1409, 1073, 3434, 1126, 11413, 4475, 1776, 2268, 1006, 4599, 23021, 1049, 12926, 1004, 4039, 1150, 2584, 3289, 6054, 1006, 5865, 1910, 2880, 8, 1620, 1096, 20723, 1236, 1005, 22509, 1006, 2754, 1143, 5600, 2966, 1026, 10470, 1009, 14099, 8366, 9002, 31066, 1528, 1114, 3832, 1009, 11380, 2100, 1, 2800, 1094, 3271, 1976, 17944, 2688, 7963, 1009, 3560, 1857, 2643, 4777, 132, 2512, 1178, 5573, 1005, 1572, 4468, 1213, 17944, 13164, 1009, 24102, 3316, 3271, 1976, 6344, 1024, 1569, 10085, 1121, 4626, 3273, 11970, 1580, 1054, 2088, 3328, 1009, 28832, 1005, 9202, 1026, 1048, 3901, 1068, 1857, 17590, 20, 3423, 2668, 1044, 11091, 1976, 2997, 2127, 4022, 1213, 3489, 1009, 2729, 5633, 1072, 7223, 2340, 1616, 1096, 1026, 1048, 6178, 2177, 3442, 17885, 21893, 17944, 13164, 1009, 3560, 1976, 1178, 20891, 1118, 1094, 8239, 1048, 1268, 3645, 1006, 1991, 1346, 1206, 19421, 1048, 19538, 71, 3530, 1969, 10433, 3782, 18450, 1006, 16891, 1620, 1184, 1026, 9797, 1005, 1026, 24482, 1049, 11091, 1118, 1456, 7963, 1009, 24102, 1257, 2358, 1549, 1096, 1044, 7228, 1365, 1044, 6819, 1005, 1044, 3356, 6633, 1138, 6819, 1325, 27011, 1322, 3473, 22325, 11473, 1044, 6737, 1009, 13490, 1060, 4380, 6268, 1685, 1005, 31624, 6750, 1357, 3484, 6268, 1685, 1005, 1049, 28331, 6633, 29343, 1371, 1009, 1048, 1026, 6268, 1577, 7845, 1118, 1048, 1857, 6470, 1006, 1224, 14346, 1138, 12590, 1298, 4347, 2073, 2285, 1009, 10842, 2223, 1138, 6268, 1577, 1976, 4347, 1356, 2444, 2156, 10842, 2223, 1, 11187, 32, 1720, 1246, 1766, 15592, 82, 7174, 9272, 1246, 15088, 1176, 2238, 56, 9005, 1246, 7978, 4776, 6228, 1009, 4209, 1246, 19249, 7479, 3033, 1246, 1841, 20, 3713, 1298, 7190, 1094, 7565, 1322, 3530, 1858, 4777, 8822, 15592, 82, 1248, 1096, 1044, 9868, 4431, 1048, 4351, 6022, 21527, 1005, 1096, 11265, 1068, 29185, 1043, 1094, 6228, 4612, 1009, 19139, 1, 5707, 2321, 2982, 11884, 3642, 22502, 71, 3130, 5344, 1096, 1026, 21080, 1049, 9381, 1060, 1834, 2733, 12296, 1069, 1118, 17511, 1081, 19671, 1072, 2403, 3730, 1016, 1468, 20138, 1257, 1063, 3484, 1006, 2237, 4960, 12638, 8, 15753, 53, 21080, 1049, 9381, 1060, 1834, 2733, 12296, 1140, 1118, 17511, 1081, 19671, 1072, 2403, 3730, 1016, 1468, 8, 1096, 5452, 75, 4828, 95, 2100, 1, 5452, 9830, 5639, 32, 2591, 1164, 2847, 1090, 1081, 2860, 11845, 1096, 8846, 1114, 3399, 1014, 27724, 1137, 1397, 11728, 6754, 1118, 6643, 1528, 16479, 29679, 1114, 2750, 6746, 1049, 3009, 7745, 8846, 1114, 21085, 2847, 2173, 18960, 1377, 1063, 2591, 1164, 2847, 4634, 23551, 1048, 1195, 21041, 1195, 6754, 1072, 3009, 11583, 1118, 1106, 4189, 90, 1163, 6792, 18437, 1171, 4670, 17694, 5764, 1005, 12436, 27680, 4000, 1043, 2068, 1114, 21085, 2847, 9755, 27250, 4983, 6226, 3388, 1054, 1090, 1081, 2673, 2257, 3778, 1118, 1807, 1005, 1807, 1094, 21085, 2847, 1403, 1172, 1097, 8846, 1114, 21085, 2847, 19314, 1005, 6167, 9755, 20, 11693, 17724, 1060, 21085, 2847, 9755, 17879, 1118, 3018, 15171, 1538, 61, 13, 21, 13, 93, 13, 1054, 1472, 1009, 1538, 60, 13, 21, 13, 92, 13, 12617, 1379, 1680, 1114, 3832, 1009, 13144, 20, 1257, 9072, 22900, 1006, 2237, 17846, 1058, 9959, 1094, 3484, 26397, 1160, 18689, 1178, 12252, 2154, 2470, 75, 1150, 1146, 2012, 8, 3692, 1551, 1048, 21085, 2847, 1009, 2143, 1908, 1006, 2591, 1164, 2847, 4634, 23551, 2569, 1224, 2068, 6431, 3133, 2591, 1164, 2847, 4634, 23551, 1060, 1338, 4391, 9048, 1224, 2068, 1060, 21085, 2847, 9755, 27250, 3126, 5447, 1072, 3009, 11583, 1118, 1106, 4189, 90, 1163, 6792, 18437, 1171, 4670, 17694, 5764, 1005, 12436, 27680, 4000, 20, 1, 3064, 1162, 1694, 1006, 2237, 4960, 32, 1257, 36, 3398, 5635, 1009, 3504, 2720, 13017, 19494, 6780, 31114, 1048, 18065, 37, 4777, 8822, 3399, 4516, 14302, 13268, 1138, 2535, 1187, 2138, 2365, 1195, 18950, 1356, 2045, 3399, 4516, 5401, 2223, 3204, 2535, 1195, 1322, 1058, 1026, 2671, 1187, 4620, 3012, 8661, 1026, 3761, 1009, 16713, 2088, 6638, 4781, 1554, 1138, 12609, 6303, 1048, 1026, 3761, 2257, 1026, 3282, 1009, 16713, 1132, 6638, 1118, 3865, 1009, 2637, 3509, 1009, 6685, 1009, 24672, 1026, 1048, 4279, 1679, 14267, 8748, 2266, 1305, 1048, 1026, 2671, 1132, 11964, 1231, 20, 7804, 1026, 2045, 3399, 4516, 14302, 4857, 7, 1, 4954, 159, 1006, 4960, 32, 11955, 1026, 2859, 1005, 13077, 1006, 1853, 3484, 20, 19984, 32, 4116, 2191, 24075, 1006, 3907, 1009, 12124, 2257, 16326, 27802, 6734, 23570, 1072, 1015, 84, 1965, 5594, 3144, 2656, 1836, 10545, 2270, 3735, 1026, 6680, 1836, 14822, 1006, 1663, 1094, 18430, 1068, 5470, 1044, 2717, 1672, 5857, 1094, 11454, 1005, 1044, 1742, 12423, 1150, 10778, 3453, 1096, 1094, 18151, 1623, 1009, 22004, 1009, 9373, 24603, 1006, 23223, 1786, 2923, 18, 7312, 1026, 3453, 1054, 1224, 10899, 1005, 19346, 1094, 18151, 1623, 1009, 22004, 1009, 9373, 20, 1063, 23223, 11981, 1792, 1006, 18151, 1623, 1068, 1026, 1742, 4693, 1048, 31457, 1379, 1224, 1963, 5160, 12805, 1068, 1224, 23223, 1005, 26879, 7311, 9860, 7104, 1299, 3711, 11139, 6363, 6431, 3943, 76, 1023, 1189, 1117, 2100, 4490, 23223, 23692, 1122, 1079, 1044, 15738, 1009, 1543, 17098, 2509, 16396, 20, 10119, 25357, 1026, 15095, 1043, 1418, 1006, 20496, 20, 1205, 1819, 9282, 1026, 6680, 1195, 1495, 1857, 1005, 8583, 9220, 1328, 15658, 2339, 22846, 18, 1299, 1225, 1006, 7061, 1009, 1261, 1006, 9272, 5372, 5602, 2340, 1299, 1096, 1026, 2930, 3114, 85, 12899, 2100, 19605, 1184, 1009, 1044, 3681, 1206, 8435, 1044, 4604, 1026, 15095, 1460, 2450, 2923, 2328, 1060, 23543, 1081, 15172, 1571, 1264, 5747, 2593, 14780, 31211, 1026, 1048, 5969, 2865, 1026, 6680, 1511, 1264, 3475, 1006, 6530, 1068, 2979, 1060, 8227, 1049, 7658, 20, 3735, 1026, 15095, 3708, 1044, 12899, 4659, 1114, 23543, 1081, 15172, 1264, 10845, 1094, 4671, 8344, 1072, 15799, 1048, 1264, 6100, 3205, 1309, 1006, 3907, 1049, 19142, 3179, 1475, 3205, 1124, 6828, 12923, 1048, 1264, 10845, 1072, 15799, 2829, 3179, 1487, 3211, 1138, 6680, 1836, 3822, 22591, 1005, 7600, 1664, 1132, 1456, 19811, 14805, 1554, 1766, 11988, 6884, 1006, 4537, 1044, 1986, 1026, 18734, 1150, 30, 2081, 1799, 2084, 1799, 25967, 1715, 1026, 15095, 20200, 1184, 6518, 1005, 3652, 4457, 21893, 1511, 1006, 15312, 71, 4671, 8344, 1195, 16177, 1072, 11527, 3085, 1100, 1026, 15095, 18948, 1068, 11331, 1024, 1006, 4786, 1009, 1224, 23223, 1005, 5543, 1114, 23543, 1081, 29261, 7311, 9860, 7104, 2429, 1472, 1325, 1054, 4982, 1406, 1973, 1026, 15095, 1043, 11274, 20, 1063, 23223, 1048, 1058, 4312, 1026, 5620, 3114, 85, 12899, 1195, 15541, 1094, 18151, 1623, 1009, 22004, 1009, 9373, 1118, 1235, 15700, 1667, 2800, 1224, 23223, 1159, 11449, 1026, 15095, 23692, 1122, 1079, 1044, 15738, 1009, 1543, 17098, 2509, 1054, 1224, 13483, 1377, 22502, 12155, 1138, 1048, 1299, 7596, 1049, 6680, 1060, 23543, 20368, 37, 18792, 32, 1063, 32, 5570, 1065, 1793, 20, 1106, 32, 1633, 1091, 1009, 28069, 25082, 10119, 1686, 3617, 1119, 32, 8605, 14028, 20, 1257, 1063, 3484, 12638, 8, 6497, 32, 1633, 1091, 1009, 28069, 1, 1175, 3713, 1976, 23188, 1044, 4367, 1068, 1048, 2446, 1009, 19172, 1026, 14556, 2155, 12212, 1175, 3713, 1381, 3913, 15906, 1068, 1026, 28720, 1048, 2155, 12212, 1068, 1026, 3182, 1175, 2804, 6080, 1006, 18350, 1048, 2155, 3881, 4882, 1068, 3062, 1175, 3713, 5090, 1006, 3164, 1009, 11690, 12883, 1525, 1068, 1026, 28720, 1175, 1084, 2276, 1299, 10259, 1026, 28720, 21444, 1026, 14556, 1068, 1026, 3182, 1175, 3316, 1472, 1054, 4689, 5395, 1126, 1026, 14556, 2177, 10053, 1571, 1195, 5159, 2270, 5344, 1298, 1178, 1026, 1831, 5628, 1049, 2568, 37, 1257, 21567, 25500, 1831, 5628, 1072, 2568, 2909, 7556, 1026, 8208, 1049, 14556, 1005, 1026, 2446, 1009, 19172, 1048, 3135, 2593, 1068, 10881, 1989, 8208, 20, 3782, 8981, 8316, 6863, 1159, 1006, 11332, 18, 1006, 17239, 1005, 1006, 21535, 1060, 4689, 5395, 1126, 1680, 1159, 1006, 2236, 1009, 8716, 23936, 1005, 1006, 9178, 1060, 6280, 20, 3316, 1472, 1048, 1132, 9658, 1060, 19172, 1327, 2941, 2585, 1006, 14025, 1005, 1132, 9088, 1009, 4711, 1049, 14556, 1693, 1178, 10682, 3983, 1, 3730, 11700, 95, 1067, 5607, 1071, 95, 1139, 1767, 15, 10811, 9803, 1094, 2919, 1009, 8862, 32, 9320, 7272, 17141, 18, 25646, 1173, 16614, 8977, 1049, 7658, 18, 2191, 1009, 27279, 7538, 18, 2386, 15869, 30648, 1411, 28129, 6912, 1126, 12930, 2403, 1206, 2011, 2726, 1100, 1048, 4783, 1026, 3479, 11512, 37, 1257, 1063, 12943, 15753, 53, 3479, 3730, 11700, 95, 1067, 5607, 1071, 95, 1139, 1767, 14194, 11512, 1233, 4783, 1009, 5813, 4707, 1009, 5407, 2100, 3782, 2755, 2246, 1062, 11700, 95, 1067, 5607, 1096, 1044, 8030, 7618, 1009, 1373, 1192, 1364, 1048, 1195, 8354, 1054, 1578, 6795, 1005, 1195, 3778, 3587, 1068, 21367, 11703, 1060, 5310, 1068, 1006, 17180, 20, 9072, 1096, 6508, 1069, 1159, 1044, 7618, 1009, 11043, 1054, 11279, 93, 22712, 26765, 10634, 1096, 1044 ]

[ 1005, 1150, 29660, 8, 23226, 1006, 9822, 1049, 7856, 12401, 1188, 1060, 10510, 20, 3423, 2668, 1026, 2490, 1009, 1150, 18827, 1030, 13493, 1072, 1852, 1060, 10510, 1160, 5420, 4697, 4734, 1206, 4025, 7048, 20, 1257, 1257, 1063, 2822, 1009, 3823, 1094, 6228, 1184, 1760, 1126, 2909, 7048, 1261, 1184, 2266, 1322, 1026, 4025, 1060, 10510, 20, 1505, 3018, 1058, 1006, 10510, 1096, 1068, 1044, 4880, 9672, 1068, 1026, 2666, 2320, 2690, 1409, 2320, 22623, 2276, 1006, 6228, 1298, 1178, 1712, 1058, 1026, 4880, 1096, 3711, 5938, 2238, 8, 1005, 7395, 20, 1776, 2268, 1305, 1184, 14720, 1096, 4417, 3823, 1094, 6228, 3927, 17663, 1257, 1257, 3423, 2668, 1096, 2512, 14632, 1048, 1124, 2649, 7237, 3634, 1178, 20214, 1009, 1871, 5864, 1005, 1572, 4719, 1068, 3823, 2266, 13479, 1679, 9918, 1138, 2490, 1009, 1086, 162, 6852, 1005, 8666, 1785, 22350, 1298, 22742, 1024, 1068, 1132, 1734, 13780, 1656, 1006, 10510, 1005, 2468, 3890, 1094, 4497, 2711, 3567, 10634, 20794, 1371, 2071, 1006, 6924, 12908, 1005, 3823, 4972, 8745, 1213, 5522, 1094, 10510, 2100, 1, 11363, 5192, 1048, 1503, 2449, 6004, 78, 1503, 4540, 3659, 1043, 6004, 78, 1068, 6004, 78, 1299, 4337, 1048, 1726, 2624, 1503, 4540, 3659, 1043, 1094, 6672, 6392, 8294, 1049, 2519, 1257, 36, 2052, 36, 13372, 1048, 6856, 1048, 11363, 4540, 1543, 6689, 1855, 4028, 2966, 1299, 1005, 1235, 3356, 3017, 8769, 1271, 14075, 2100, 6431, 15753, 53, 4041, 7009, 6027, 9202, 1616, 1068, 1094, 6117, 1009, 3251, 4844, 1063, 3271, 1325, 6909, 1726, 2624, 1048, 7464, 1009, 3659, 1043, 1044, 4918, 2417, 1009, 5410, 1206, 1094, 6809, 1780, 2100, 5126, 6016, 1027, 1043, 2306, 2593, 8769, 1009, 2306, 1325, 19219, 3782, 1160, 3901, 1048, 1857, 4343, 4054, 4327, 1159, 1299, 1206, 1503, 20, 3782, 3901, 1048, 1857, 4343, 11157, 1043, 2306, 5392, 1043, 2068, 1114, 4087, 2100, 1, 6669, 4243, 1063, 26085, 1526, 1941, 1241, 8843, 19344, 1009, 6850, 1984, 1009, 3403, 1009, 2026, 4681, 1096, 1044, 4530, 1009, 27513, 3467, 1427, 1192, 1468, 1060, 28449, 1380, 3492, 1699, 2231, 10471, 1632, 1203, 1248, 1409, 2186, 8664, 12105, 1699, 6425, 4124, 9275, 14116, 2645, 7231, 1565, 14522, 1188, 1118, 1235, 21080, 1009, 9550, 12025, 12619, 1400, 1264, 9239, 1356, 8549, 6227, 27190, 9336, 1118, 14219, 14204, 19817, 5492, 18207, 1009, 1073, 7231, 1996, 1009, 1178, 5421, 2408, 1054, 14982, 2200, 1318, 1096, 1044, 1073, 7231, 6014, 4134, 2495, 1009, 14219, 2624, 1495, 4864, 1006, 15573, 1257, 1257, 23062, 7386, 1006, 2511, 9743, 37, 1257, 1941, 1241, 2257, 4090, 1048, 2829, 21702, 5339, 2068, 1463, 2266, 2185, 5006, 1160, 4800, 4537, 1006, 1094, 9743, 1322, 1006, 12015, 1187, 4090, 1009, 6669, 1941, 1241, 20, 1063, 4734, 1657, 5649, 1235, 10840, 3164, 1009, 4274, 4140, 12160, 1005, 17741, 1072, 4933, 7504, 1802, 2656, 1837, 20026, 1009, 1224, 4581, 7479, 1206, 1060, 12015, 1009, 1456, 4090, 20, 10634, 1160, 4800, 1663, 7636, 1111, 8791, 1206, 27215, 1322, 1006, 12160, 1009, 1224, 15899, 1, 7819, 5180, 16017, 1026, 1351, 1069, 1068, 1094, 1351, 3470, 1005, 14104, 22051, 1016, 11397, 3273, 4609, 30642, 1005, 1006, 2086, 12238, 13189, 1083, 7953, 1009, 2383, 1136, 1009, 9373, 1206, 12896, 1030, 3213, 1233, 1351, 3470, 20, 1257, 1257, 10723, 1062, 15294, 1006, 1351, 3470, 1043, 3129, 20406, 1005, 16223, 5291, 1072, 1234, 84, 1667, 1257, 1257, 10396, 2034, 1117, 1006, 9373, 1118, 1101, 7252, 9566, 1206, 1495, 8236, 1094, 5789, 9662, 1009, 30078, 117, 44, 1068, 6571, 19, 1007, 2586, 31720, 117, 44, 1068, 1026, 2191, 1206, 17939, 12394, 44, 1068, 1026, 11618, 2806, 20, 1257, 1257, 11736, 6566, 1336, 1026, 1351, 1069, 1049, 20024, 1005, 7009, 23886, 1118, 1782, 15016, 4686, 1996, 1009, 16313, 20, 1257, 1257, 10490, 14254, 1589, 1026, 1351, 1069, 9901, 2408, 1043, 1132, 31987, 1351, 1166, 1005, 2416, 1010, 1009, 24806, 1038, 10871, 12463, 73, 1648, 7, 1, 24287, 1636, 12410, 1175, 1063, 11485, 18556, 1195, 1094, 17660, 3568, 1048, 5687, 1365, 2128, 5562, 1005, 22300, 2394, 1890, 1006, 1428, 1132, 27730, 1271, 6519, 3304, 2346, 17889, 5755, 5817, 9934, 22416, 1006, 28252, 1005, 1006, 26939, 9181, 4866, 3589, 13064, 1412, 1006, 8558, 1060, 17180, 1005, 2225, 1412, 1132, 2138, 2365, 1060, 3432, 3336, 1175, 2387, 10933, 1096, 1026, 4545, 1049, 5762, 2952, 1206, 1060, 15505, 2966, 1569, 2259, 12754, 20042, 23111, 4928, 1005, 6535, 20, 2013, 1094, 6644, 2952, 1048, 11643, 2539, 6335, 1009, 8274, 3191, 162, 3087, 1005, 5034, 7799, 1068, 6537, 1044, 2823, 1009, 4318, 1322, 1006, 4272, 9226, 1006, 1169, 24037, 1005, 1006, 5042, 20, 12010, 9006, 12741, 29164, 4855, 7676, 1048, 6326, 1178, 21915, 5232, 1233, 3568, 2952, 1005, 1213, 11618, 1223, 1930, 2097, 1734, 1058, 5058, 1202, 3587, 1054, 2217, 3256, 1006, 9822, 1395, 13691, 1187, 5684, 18014, 1138, 6976, 4629, 2271, 1026, 3319, 1009, 6970, 3498, 1097, 10933, 1060, 9394, 8828, 1005, 12449, 1495, 1026, 3319, 22250, 1009, 5061, 1005, 1006, 3023, 16406, 1175, 1138, 5497, 4272, 2952, 1298, 1178, 3778, 1054, 1791, 1786, 7425, 1482, 1831, 13745, 18296, 1006, 1044, 7620, 3957, 1206, 2380, 1009, 9040, 10349, 6535, 18, 4785, 4650, 7629, 1400, 3408, 1005, 7055, 3080, 3273, 1048, 5674, 5984, 22229, 1005, 2283, 11505, 10592, 7593, 1009, 2869, 1005, 5762, 20, 1955, 19609, 1327, 1132, 26842, 1642, 1302, 1102, 1005, 1006, 4272, 2952, 3861, 7407, 1776, 2277, 13745, 1006, 4272, 2952, 1717, 4737, 1043, 1026, 15756, 1206, 1169, 24037, 9226, 1005, 18296, 1006, 1044, 2497, 15339, 1060, 4263, 1054, 1048, 1006, 4272, 2952, 12008, 1096, 13456, 1005, 22159, 1118, 1456, 3948, 20, 1138, 2863, 1060, 4272, 1206, 1049, 2863, 10885, 7068, 1048, 1096, 5046, 1068, 1807, 1751, 1060, 17183, 28080, 1060, 6644, 3568, 1005, 1060, 9976, 13158, 1096, 1006, 4380, 1009, 1159, 1005, 1118, 1048, 1096, 1048, 1124, 13463, 3732, 4548, 20, 1175, 15873, 2689, 14764, 1005, 1026, 7846, 1060, 7515, 2984, 1272, 23078, 13144, 3406, 4700, 1096, 1044, 3066, 1009, 13656, 1049, 9006, 9465, 13683, 4765, 19853, 1046, 6266, 9074, 1357, 2828, 1009, 12014, 11614, 1565, 2013, 4553, 1118, 9526, 1006, 2068, 1395, 13691, 1068, 1026, 2550, 1009, 2568, 5098, 1068, 1006, 6704, 1823, 9767, 3336, 1175, 1063, 6644, 2952, 1096, 1094, 1271, 3145, 8862, 1009, 21874, 8169, 3589, 4294, 1312, 1043, 1006, 4263, 1005, 1124, 6298, 1365, 1132, 7539, 2453, 1009, 1094, 20752, 1505, 1224, 5326, 1225, 2653, 6466, 1229, 1752, 1044, 1187, 2688, 1096, 5077, 1094, 6012, 1979, 2952, 2100, 2034, 3145, 13835, 3732, 5241, 21301, 6644, 13158, 25699, 17818, 2263, 3656, 1005, 17183, 2126, 2275, 1482, 1044, 5239, 1184, 3322, 1100, 1006, 6644, 2952, 1318, 5631, 2088, 6824, 1463, 3963, 5129, 1159, 16975, 10932, 11501, 10932, 30141, 4195, 2042, 1005, 5141, 27748, 1138, 5497, 1318, 1096, 3778, 1068, 1058, 14436, 10343, 1213, 3428, 1060, 17183, 28080, 1006, 6012, 1979, 1060, 4263, 8, 14419, 17750, 1072, 3009, 7745, 20, 3316, 2919, 1184, 17254, 1271, 1681, 74, 2477, 4550, 2227, 2453, 1271, 13835, 3732, 1298, 1178, 8283, 1072, 1542, 2005, 1370, 1271, 13835, 18014, 1175, 1063, 9015, 1187, 2138, 2365, 1096, 1006, 3940, 16081, 1183, 1187, 2138, 2365, 1060, 3432, 3336, 1063, 6324, 5823, 8901, 7948, 1118, 5492, 1673, 19195, 30343, 1034, 1026, 6980, 3267, 1009, 18837, 9049, 4181, 2125, 7896, 1215, 11952, 1358, 1089, 1202, 1006, 17809, 1060, 15364, 1009, 1298, 2106, 2328, 1060, 1428, 1026, 2671, 6007, 1325, 13831, 1054, 2125, 6466, 14197, 1026, 5612, 9086, 19427, 1356, 7026, 8710, 1046, 1669, 33, 1026, 2866, 4547, 7662, 1356, 2670, 33, 1005, 1026, 11477, 18, 7662, 1356, 12684, 5995, 1005, 1734, 23170, 9503, 1007, 3150, 25155, 18753, 18, 25516, 1005, 29961, 1215, 11952, 1358, 1089, 1202, 10883, 1009, 6007, 5120, 30305, 1132, 3997, 1005, 1124, 20339, 1187, 12685, 11027, 1005, 1187, 6780, 1054, 2869, 1213, 2671, 6007, 20, 1138, 2859, 19801, 16280, 1026, 9271, 15094, 3046, 6715, 2309, 24953, 2138, 1068, 1026, 16163, 2616, 20, 1175, 3316, 12048, 1009, 3780, 1096, 1094, 12048, 1048, 2540, 1048, 1664, 1132, 1456, 7748, 9938, 91, 1878, 1005, 9938, 2140, 19, 4822, 3084, 1058, 4048, 1046, 23054, 1054, 15411, 1054, 1472, 1009, 1657, 14183, 1048, 2374, 1094, 6758, 1009, 1094, 17621, 3635, 1206, 8894, 20, 23366, 13654, 1693, 1178, 30207, 1356, 1235, 3838, 7051, 1054, 3780, 31932, 1005, 1026, 26174, 1009, 1569, 2768, 1728, 1505, 1044, 6079, 1124, 13654, 1009, 3780, 1058, 4827, 11085, 1068, 14414, 1024, 7748, 1048, 1327, 1124, 23977, 1184, 14711, 1054, 1569, 21874, 1049, 5108, 1005, 1456, 4988, 5130, 5706, 1006, 5741, 1009, 5758, 1043, 3530, 9556, 20, 1505, 2143, 6079, 1132, 3398, 4988, 1826, 2739, 2624, 12408, 9530, 1166, 1213, 10541, 1048, 1456, 6543, 1009, 15845, 1054, 13654, 1009, 3780, 1327, 11347, 3830, 23081, 1005, 1160, 15082, 4581, 3467, 1043, 9933, 9919, 2370, 1049, 5813, 2391, 2733, 13678, 1309, 2653, 5435, 1544, 2161, 15128, 14352, 1009, 13654, 1009, 15411, 2246, 1857, 11825, 1048, 5494, 6543, 29569, 6815, 13636, 1159, 1026, 8299, 3491, 3617, 1175, 13683, 4765, 19853, 1046, 19479, 1054, 4984, 1009, 3383, 1009, 3067, 5056, 4334, 20, 22269, 1096, 4868, 1009, 2387, 10933, 1114, 2828, 1009, 12775, 5797, 20, 2013, 2566, 1206, 1023, 71, 5009, 1009, 1184, 1009, 1094, 31221, 1034, 1009, 4106, 1005, 1184, 1009, 25579, 1673, 19195, 1005, 1096, 10035, 30915, 1159, 1044, 1187, 11400, 1689, 1049, 2550, 1009, 2568, 5098, 1054, 5034, 1009, 4241, 16406, 4983, 21135, 1044, 1187, 4181, 4106, 1322, 1006, 6704, 1054, 21440, 1213, 9066, 1132, 23465, 12819, 1187, 11837, 22432, 29052, 15873, 2689, 14764, 1005, 1026, 7846, 1060, 7515, 2984, 1272, 23078, 1009, 13144, 1175, 31365, 5024, 2143, 3066, 4264, 1171, 1104, 28109, 4857, 1026, 7833, 6670, 24071, 9571, 89, 1054, 27008, 3126, 4148, 1049, 19904, 2408, 4316, 1009, 11609, 4429, 1473, 1166, 1463, 7564, 1424, 1520, 13796, 1365, 4936, 1005, 17451, 2200, 1195, 4107, 1068, 1006, 7299, 18556, 1009, 9522, 1005, 7564, 1054, 22564, 1175, 3753, 6757, 1066, 3084, 15497, 1009, 3268, 1009, 18977, 5463, 1195, 1044, 17445, 18, 3718, 1291, 1005, 26228, 31580, 1076, 1060, 11485, 8724, 1377, 2200, 9241, 1159, 2670, 1049, 5153, 7026, 24551, 1005, 1195, 1026, 1831, 1005, 5064, 6615, 1060, 23896, 5921, 14226, 1009, 17177, 1916, 2200, 1096, 20402, 1118, 1224, 1807, 1005, 19391, 8300, 1114, 23833, 1009, 22920, 1187, 2138, 6547, 3360, 1048, 1026, 5497, 1150, 11407, 6757, 1066, 3084, 8, 1058, 1650, 3205, 1294, 2138, 6547, 1044, 21784, 1009, 1094, 8300, 20, 1175, 1138, 15118, 1096, 1006, 14223, 1009, 1044, 3319, 8407, 1009, 15118, 1005, 3790, 2952, 1679, 10385, 1305, 8326, 11754, 1102, 1068, 10075, 1124, 6106, 5097, 6997, 2494, 3364, 1187, 3825, 2368, 3607, 1026, 15118, 1096, 10035, 12145, 1356, 2671, 1006, 2323, 1009, 7562, 6006, 1672, 1005, 1054, 4863, 4375, 1118, 6535, 1009, 1429, 2485, 4440, 3732, 2711, 2565, 4440, 18085, 1005, 8022, 1957, 6179, 1748, 2609, 5048, 1175, 2034, 12600, 1823, 9767, 1392, 1327, 13390, 1009, 1159, 1005, 1118, 1048, 11145, 16587, 1322, 1026, 1784, 2952, 1826, 2852, 3983, 5126, 16129, 1054, 2617, 3058, 2271, 29037, 1572, 15686, 1009, 1044, 3872, 2568, 2952, 1495, 23478, 3036, 1009, 5034, 1005, 11267, 20, 11693, 12600, 1823, 9767, 1392, 5174, 1046, 8040, 1049, 1784, 2952, 1005, 8930, 5706, 1006, 10937, 1322, 4203, 3346, 17654, 2097, 2089, 15829, 1159, 3322, 1016, 18674, 1048, 3184, 1648, 3606, 14980, 1823, 9767, 6997, 1175, 12775, 5797, 2342, 11968, 9094, 1142, 24413, 12775, 5797, 13050, 2342, 11968, 1096, 1094, 12048, 1009, 3780, 10206, 1054, 12775, 20932, 15029, 23055, 1091, 1006, 2981, 85, 10831, 1005, 1365, 4833, 8492, 1005, 1764, 4644, 20, 5024, 19603, 1096, 1044, 1187, 4029, 1187, 2138, 11110, 12775, 5797, 1318, 1225, 3548, 1005, 9255, 1054, 1734, 5679, 4846, 1175, 3753, 11903, 89, 17886, 1009, 3268, 1655, 53, 17153, 2128, 4673, 1175, 1422, 1009, 3353, 1009, 1578, 3876, 15, 1195, 1044, 3759, 1194, 1076, 5414, 1048, 9241, 1159, 2277, 2670, 1187, 2138, 2365, 2149, 6101, 29, 3430, 22, 5056, 1005, 1026, 1831, 12884, 2149, 5988, 3990, 29, 1565, 2200, 1516, 30885, 10374, 11824, 3718, 3382, 27246, 5098, 2170, 1159, 14783, 5508, 3858, 1044, 5548, 1049, 4241, 1357, 11468, 9692, 1060, 17180, 20, 2200, 1318, 1195, 1044, 31626, 1291, 8690, 1005, 5630, 3017, 9479, 1043, 1224, 7391, 1005, 21173, 1184, 3867, 2642, 2327, 19736, 1175, 1063, 2828, 1009, 12014, 11614, 1096, 1006, 1712, 1005, 1094, 1271, 1184, 9814, 1244, 1269, 1016, 4317, 15594, 1187, 2138, 11110, 2013, 24889, 1357, 2828, 1009, 12014, 1005, 20452, 1094, 1807, 6735, 1009, 7268, 8169, 3368, 2966, 7426, 12014, 22906, 1409, 31849, 1406, 24349, 14131, 1391, 8169, 3368, 1005, 1094, 8962, 11818, 1009, 3118, 14829, 1242, 31136, 1294, 6824, 8169, 5345, 1175, 1063, 7299, 18556, 1009 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1005, 1150, 29660, 8, 23226, 1006, 9822, 1049, 7856, 12401, 1188, 1060, 10510, 20, 3423, 2668, 1026, 2490, 1009, 1150, 18827, 1030, 13493, 1072, 1852, 1060, 10510, 1160, 5420, 4697, 4734, 1206, 4025, 7048, 20, 1257, 1257, 1063, 2822, 1009, 3823, 1094, 6228, 1184, 1760, 1126, 2909, 7048, 1261, 1184, 2266, 1322, 1026, 4025, 1060, 10510, 20, 1505, 3018, 1058, 1006, 10510, 1096, 1068, 1044, 4880, 9672, 1068, 1026, 2666, 2320, 2690, 1409, 2320, 22623, 2276, 1006, 6228, 1298, 1178, 1712, 1058, 1026, 4880, 1096, 3711, 5938, 2238, 8, 1005, 7395, 20, 1776, 2268, 1305, 1184, 14720, 1096, 4417, 3823, 1094, 6228, 3927, 17663, 1257, 1257, 3423, 2668, 1096, 2512, 14632, 1048, 1124, 2649, 7237, 3634, 1178, 20214, 1009, 1871, 5864, 1005, 1572, 4719, 1068, 3823, 2266, 13479, 1679, 9918, 1138, 2490, 1009, 1086, 162, 6852, 1005, 8666, 1785, 22350, 1298, 22742, 1024, 1068, 1132, 1734, 13780, 1656, 1006, 10510, 1005, 2468, 3890, 1094, 4497, 2711, 3567, 10634, 20794, 1371, 2071, 1006, 6924, 12908, 1005, 3823, 4972, 8745, 1213, 5522, 1094, 10510, 2100, 1, 11363, 5192, 1048, 1503, 2449, 6004, 78, 1503, 4540, 3659, 1043, 6004, 78, 1068, 6004, 78, 1299, 4337, 1048, 1726, 2624, 1503, 4540, 3659, 1043, 1094, 6672, 6392, 8294, 1049, 2519, 1257, 36, 2052, 36, 13372, 1048, 6856, 1048, 11363, 4540, 1543, 6689, 1855, 4028, 2966, 1299, 1005, 1235, 3356, 3017, 8769, 1271, 14075, 2100, 6431, 15753, 53, 4041, 7009, 6027, 9202, 1616, 1068, 1094, 6117, 1009, 3251, 4844, 1063, 3271, 1325, 6909, 1726, 2624, 1048, 7464, 1009, 3659, 1043, 1044, 4918, 2417, 1009, 5410, 1206, 1094, 6809, 1780, 2100, 5126, 6016, 1027, 1043, 2306, 2593, 8769, 1009, 2306, 1325, 19219, 3782, 1160, 3901, 1048, 1857, 4343, 4054, 4327, 1159, 1299, 1206, 1503, 20, 3782, 3901, 1048, 1857, 4343, 11157, 1043, 2306, 5392, 1043, 2068, 1114, 4087, 2100, 1, 6669, 4243, 1063, 26085, 1526, 1941, 1241, 8843, 19344, 1009, 6850, 1984, 1009, 3403, 1009, 2026, 4681, 1096, 1044, 4530, 1009, 27513, 3467, 1427, 1192, 1468, 1060, 28449, 1380, 3492, 1699, 2231, 10471, 1632, 1203, 1248, 1409, 2186, 8664, 12105, 1699, 6425, 4124, 9275, 14116, 2645, 7231, 1565, 14522, 1188, 1118, 1235, 21080, 1009, 9550, 12025, 12619, 1400, 1264, 9239, 1356, 8549, 6227, 27190, 9336, 1118, 14219, 14204, 19817, 5492, 18207, 1009, 1073, 7231, 1996, 1009, 1178, 5421, 2408, 1054, 14982, 2200, 1318, 1096, 1044, 1073, 7231, 6014, 4134, 2495, 1009, 14219, 2624, 1495, 4864, 1006, 15573, 1257, 1257, 23062, 7386, 1006, 2511, 9743, 37, 1257, 1941, 1241, 2257, 4090, 1048, 2829, 21702, 5339, 2068, 1463, 2266, 2185, 5006, 1160, 4800, 4537, 1006, 1094, 9743, 1322, 1006, 12015, 1187, 4090, 1009, 6669, 1941, 1241, 20, 1063, 4734, 1657, 5649, 1235, 10840, 3164, 1009, 4274, 4140, 12160, 1005, 17741, 1072, 4933, 7504, 1802, 2656, 1837, 20026, 1009, 1224, 4581, 7479, 1206, 1060, 12015, 1009, 1456, 4090, 20, 10634, 1160, 4800, 1663, 7636, 1111, 8791, 1206, 27215, 1322, 1006, 12160, 1009, 1224, 15899, 1, 7819, 5180, 16017, 1026, 1351, 1069, 1068, 1094, 1351, 3470, 1005, 14104, 22051, 1016, 11397, 3273, 4609, 30642, 1005, 1006, 2086, 12238, 13189, 1083, 7953, 1009, 2383, 1136, 1009, 9373, 1206, 12896, 1030, 3213, 1233, 1351, 3470, 20, 1257, 1257, 10723, 1062, 15294, 1006, 1351, 3470, 1043, 3129, 20406, 1005, 16223, 5291, 1072, 1234, 84, 1667, 1257, 1257, 10396, 2034, 1117, 1006, 9373, 1118, 1101, 7252, 9566, 1206, 1495, 8236, 1094, 5789, 9662, 1009, 30078, 117, 44, 1068, 6571, 19, 1007, 2586, 31720, 117, 44, 1068, 1026, 2191, 1206, 17939, 12394, 44, 1068, 1026, 11618, 2806, 20, 1257, 1257, 11736, 6566, 1336, 1026, 1351, 1069, 1049, 20024, 1005, 7009, 23886, 1118, 1782, 15016, 4686, 1996, 1009, 16313, 20, 1257, 1257, 10490, 14254, 1589, 1026, 1351, 1069, 9901, 2408, 1043, 1132, 31987, 1351, 1166, 1005, 2416, 1010, 1009, 24806, 1038, 10871, 12463, 73, 1648, 7, 1, 24287, 1636, 12410, 1175, 1063, 11485, 18556, 1195, 1094, 17660, 3568, 1048, 5687, 1365, 2128, 5562, 1005, 22300, 2394, 1890, 1006, 1428, 1132, 27730, 1271, 6519, 3304, 2346, 17889, 5755, 5817, 9934, 22416, 1006, 28252, 1005, 1006, 26939, 9181, 4866, 3589, 13064, 1412, 1006, 8558, 1060, 17180, 1005, 2225, 1412, 1132, 2138, 2365, 1060, 3432, 3336, 1175, 2387, 10933, 1096, 1026, 4545, 1049, 5762, 2952, 1206, 1060, 15505, 2966, 1569, 2259, 12754, 20042, 23111, 4928, 1005, 6535, 20, 2013, 1094, 6644, 2952, 1048, 11643, 2539, 6335, 1009, 8274, 3191, 162, 3087, 1005, 5034, 7799, 1068, 6537, 1044, 2823, 1009, 4318, 1322, 1006, 4272, 9226, 1006, 1169, 24037, 1005, 1006, 5042, 20, 12010, 9006, 12741, 29164, 4855, 7676, 1048, 6326, 1178, 21915, 5232, 1233, 3568, 2952, 1005, 1213, 11618, 1223, 1930, 2097, 1734, 1058, 5058, 1202, 3587, 1054, 2217, 3256, 1006, 9822, 1395, 13691, 1187, 5684, 18014, 1138, 6976, 4629, 2271, 1026, 3319, 1009, 6970, 3498, 1097, 10933, 1060, 9394, 8828, 1005, 12449, 1495, 1026, 3319, 22250, 1009, 5061, 1005, 1006, 3023, 16406, 1175, 1138, 5497, 4272, 2952, 1298, 1178, 3778, 1054, 1791, 1786, 7425, 1482, 1831, 13745, 18296, 1006, 1044, 7620, 3957, 1206, 2380, 1009, 9040, 10349, 6535, 18, 4785, 4650, 7629, 1400, 3408, 1005, 7055, 3080, 3273, 1048, 5674, 5984, 22229, 1005, 2283, 11505, 10592, 7593, 1009, 2869, 1005, 5762, 20, 1955, 19609, 1327, 1132, 26842, 1642, 1302, 1102, 1005, 1006, 4272, 2952, 3861, 7407, 1776, 2277, 13745, 1006, 4272, 2952, 1717, 4737, 1043, 1026, 15756, 1206, 1169, 24037, 9226, 1005, 18296, 1006, 1044, 2497, 15339, 1060, 4263, 1054, 1048, 1006, 4272, 2952, 12008, 1096, 13456, 1005, 22159, 1118, 1456, 3948, 20, 1138, 2863, 1060, 4272, 1206, 1049, 2863, 10885, 7068, 1048, 1096, 5046, 1068, 1807, 1751, 1060, 17183, 28080, 1060, 6644, 3568, 1005, 1060, 9976, 13158, 1096, 1006, 4380, 1009, 1159, 1005, 1118, 1048, 1096, 1048, 1124, 13463, 3732, 4548, 20, 1175, 15873, 2689, 14764, 1005, 1026, 7846, 1060, 7515, 2984, 1272, 23078, 13144, 3406, 4700, 1096, 1044, 3066, 1009, 13656, 1049, 9006, 9465, 13683, 4765, 19853, 1046, 6266, 9074, 1357, 2828, 1009, 12014, 11614, 1565, 2013, 4553, 1118, 9526, 1006, 2068, 1395, 13691, 1068, 1026, 2550, 1009, 2568, 5098, 1068, 1006, 6704, 1823, 9767, 3336, 1175, 1063, 6644, 2952, 1096, 1094, 1271, 3145, 8862, 1009, 21874, 8169, 3589, 4294, 1312, 1043, 1006, 4263, 1005, 1124, 6298, 1365, 1132, 7539, 2453, 1009, 1094, 20752, 1505, 1224, 5326, 1225, 2653, 6466, 1229, 1752, 1044, 1187, 2688, 1096, 5077, 1094, 6012, 1979, 2952, 2100, 2034, 3145, 13835, 3732, 5241, 21301, 6644, 13158, 25699, 17818, 2263, 3656, 1005, 17183, 2126, 2275, 1482, 1044, 5239, 1184, 3322, 1100, 1006, 6644, 2952, 1318, 5631, 2088, 6824, 1463, 3963, 5129, 1159, 16975, 10932, 11501, 10932, 30141, 4195, 2042, 1005, 5141, 27748, 1138, 5497, 1318, 1096, 3778, 1068, 1058, 14436, 10343, 1213, 3428, 1060, 17183, 28080, 1006, 6012, 1979, 1060, 4263, 8, 14419, 17750, 1072, 3009, 7745, 20, 3316, 2919, 1184, 17254, 1271, 1681, 74, 2477, 4550, 2227, 2453, 1271, 13835, 3732, 1298, 1178, 8283, 1072, 1542, 2005, 1370, 1271, 13835, 18014, 1175, 1063, 9015, 1187, 2138, 2365, 1096, 1006, 3940, 16081, 1183, 1187, 2138, 2365, 1060, 3432, 3336, 1063, 6324, 5823, 8901, 7948, 1118, 5492, 1673, 19195, 30343, 1034, 1026, 6980, 3267, 1009, 18837, 9049, 4181, 2125, 7896, 1215, 11952, 1358, 1089, 1202, 1006, 17809, 1060, 15364, 1009, 1298, 2106, 2328, 1060, 1428, 1026, 2671, 6007, 1325, 13831, 1054, 2125, 6466, 14197, 1026, 5612, 9086, 19427, 1356, 7026, 8710, 1046, 1669, 33, 1026, 2866, 4547, 7662, 1356, 2670, 33, 1005, 1026, 11477, 18, 7662, 1356, 12684, 5995, 1005, 1734, 23170, 9503, 1007, 3150, 25155, 18753, 18, 25516, 1005, 29961, 1215, 11952, 1358, 1089, 1202, 10883, 1009, 6007, 5120, 30305, 1132, 3997, 1005, 1124, 20339, 1187, 12685, 11027, 1005, 1187, 6780, 1054, 2869, 1213, 2671, 6007, 20, 1138, 2859, 19801, 16280, 1026, 9271, 15094, 3046, 6715, 2309, 24953, 2138, 1068, 1026, 16163, 2616, 20, 1175, 3316, 12048, 1009, 3780, 1096, 1094, 12048, 1048, 2540, 1048, 1664, 1132, 1456, 7748, 9938, 91, 1878, 1005, 9938, 2140, 19, 4822, 3084, 1058, 4048, 1046, 23054, 1054, 15411, 1054, 1472, 1009, 1657, 14183, 1048, 2374, 1094, 6758, 1009, 1094, 17621, 3635, 1206, 8894, 20, 23366, 13654, 1693, 1178, 30207, 1356, 1235, 3838, 7051, 1054, 3780, 31932, 1005, 1026, 26174, 1009, 1569, 2768, 1728, 1505, 1044, 6079, 1124, 13654, 1009, 3780, 1058, 4827, 11085, 1068, 14414, 1024, 7748, 1048, 1327, 1124, 23977, 1184, 14711, 1054, 1569, 21874, 1049, 5108, 1005, 1456, 4988, 5130, 5706, 1006, 5741, 1009, 5758, 1043, 3530, 9556, 20, 1505, 2143, 6079, 1132, 3398, 4988, 1826, 2739, 2624, 12408, 9530, 1166, 1213, 10541, 1048, 1456, 6543, 1009, 15845, 1054, 13654, 1009, 3780, 1327, 11347, 3830, 23081, 1005, 1160, 15082, 4581, 3467, 1043, 9933, 9919, 2370, 1049, 5813, 2391, 2733, 13678, 1309, 2653, 5435, 1544, 2161, 15128, 14352, 1009, 13654, 1009, 15411, 2246, 1857, 11825, 1048, 5494, 6543, 29569, 6815, 13636, 1159, 1026, 8299, 3491, 3617, 1175, 13683, 4765, 19853, 1046, 19479, 1054, 4984, 1009, 3383, 1009, 3067, 5056, 4334, 20, 22269, 1096, 4868, 1009, 2387, 10933, 1114, 2828, 1009, 12775, 5797, 20, 2013, 2566, 1206, 1023, 71, 5009, 1009, 1184, 1009, 1094, 31221, 1034, 1009, 4106, 1005, 1184, 1009, 25579, 1673, 19195, 1005, 1096, 10035, 30915, 1159, 1044, 1187, 11400, 1689, 1049, 2550, 1009, 2568, 5098, 1054, 5034, 1009, 4241, 16406, 4983, 21135, 1044, 1187, 4181, 4106, 1322, 1006, 6704, 1054, 21440, 1213, 9066, 1132, 23465, 12819, 1187, 11837, 22432, 29052, 15873, 2689, 14764, 1005, 1026, 7846, 1060, 7515, 2984, 1272, 23078, 1009, 13144, 1175, 31365, 5024, 2143, 3066, 4264, 1171, 1104, 28109, 4857, 1026, 7833, 6670, 24071, 9571, 89, 1054, 27008, 3126, 4148, 1049, 19904, 2408, 4316, 1009, 11609, 4429, 1473, 1166, 1463, 7564, 1424, 1520, 13796, 1365, 4936, 1005, 17451, 2200, 1195, 4107, 1068, 1006, 7299, 18556, 1009, 9522, 1005, 7564, 1054, 22564, 1175, 3753, 6757, 1066, 3084, 15497, 1009, 3268, 1009, 18977, 5463, 1195, 1044, 17445, 18, 3718, 1291, 1005, 26228, 31580, 1076, 1060, 11485, 8724, 1377, 2200, 9241, 1159, 2670, 1049, 5153, 7026, 24551, 1005, 1195, 1026, 1831, 1005, 5064, 6615, 1060, 23896, 5921, 14226, 1009, 17177, 1916, 2200, 1096, 20402, 1118, 1224, 1807, 1005, 19391, 8300, 1114, 23833, 1009, 22920, 1187, 2138, 6547, 3360, 1048, 1026, 5497, 1150, 11407, 6757, 1066, 3084, 8, 1058, 1650, 3205, 1294, 2138, 6547, 1044, 21784, 1009, 1094, 8300, 20, 1175, 1138, 15118, 1096, 1006, 14223, 1009, 1044, 3319, 8407, 1009, 15118, 1005, 3790, 2952, 1679, 10385, 1305, 8326, 11754, 1102, 1068, 10075, 1124, 6106, 5097, 6997, 2494, 3364, 1187, 3825, 2368, 3607, 1026, 15118, 1096, 10035, 12145, 1356, 2671, 1006, 2323, 1009, 7562, 6006, 1672, 1005, 1054, 4863, 4375, 1118, 6535, 1009, 1429, 2485, 4440, 3732, 2711, 2565, 4440, 18085, 1005, 8022, 1957, 6179, 1748, 2609, 5048, 1175, 2034, 12600, 1823, 9767, 1392, 1327, 13390, 1009, 1159, 1005, 1118, 1048, 11145, 16587, 1322, 1026, 1784, 2952, 1826, 2852, 3983, 5126, 16129, 1054, 2617, 3058, 2271, 29037, 1572, 15686, 1009, 1044, 3872, 2568, 2952, 1495, 23478, 3036, 1009, 5034, 1005, 11267, 20, 11693, 12600, 1823, 9767, 1392, 5174, 1046, 8040, 1049, 1784, 2952, 1005, 8930, 5706, 1006, 10937, 1322, 4203, 3346, 17654, 2097, 2089, 15829, 1159, 3322, 1016, 18674, 1048, 3184, 1648, 3606, 14980, 1823, 9767, 6997, 1175, 12775, 5797, 2342, 11968, 9094, 1142, 24413, 12775, 5797, 13050, 2342, 11968, 1096, 1094, 12048, 1009, 3780, 10206, 1054, 12775, 20932, 15029, 23055, 1091, 1006, 2981, 85, 10831, 1005, 1365, 4833, 8492, 1005, 1764, 4644, 20, 5024, 19603, 1096, 1044, 1187, 4029, 1187, 2138, 11110, 12775, 5797, 1318, 1225, 3548, 1005, 9255, 1054, 1734, 5679, 4846, 1175, 3753, 11903, 89, 17886, 1009, 3268, 1655, 53, 17153, 2128, 4673, 1175, 1422, 1009, 3353, 1009, 1578, 3876, 15, 1195, 1044, 3759, 1194, 1076, 5414, 1048, 9241, 1159, 2277, 2670, 1187, 2138, 2365, 2149, 6101, 29, 3430, 22, 5056, 1005, 1026, 1831, 12884, 2149, 5988, 3990, 29, 1565, 2200, 1516, 30885, 10374, 11824, 3718, 3382, 27246, 5098, 2170, 1159, 14783, 5508, 3858, 1044, 5548, 1049, 4241, 1357, 11468, 9692, 1060, 17180, 20, 2200, 1318, 1195, 1044, 31626, 1291, 8690, 1005, 5630, 3017, 9479, 1043, 1224, 7391, 1005, 21173, 1184, 3867, 2642, 2327, 19736, 1175, 1063, 2828, 1009, 12014, 11614, 1096, 1006, 1712, 1005, 1094, 1271, 1184, 9814, 1244, 1269, 1016, 4317, 15594, 1187, 2138, 11110, 2013, 24889, 1357, 2828, 1009, 12014, 1005, 20452, 1094, 1807, 6735, 1009, 7268, 8169, 3368, 2966, 7426, 12014, 22906, 1409, 31849, 1406, 24349, 14131, 1391, 8169, 3368, 1005, 1094, 8962, 11818, 1009, 3118, 14829, 1242, 31136, 1294, 6824, 8169, 5345, 1175, 1063, 7299, 18556, 1009 ]

[ 1049, 2277, 4248, 1043, 7101, 1140, 1009, 17903, 1079, 72, 1319, 1796, 82, 11334, 1986, 1448, 1526, 4475, 1063, 2759, 1060, 21473, 28254, 4064, 1213, 12634, 1657, 1294, 1251, 16325, 17576, 1043, 1344, 3496, 1100, 1009, 19299, 79, 1845, 1521, 3765, 1557, 1009, 9389, 1124, 5908, 9507, 1044, 4530, 29787, 1175, 5193, 3266, 2566, 1049, 2933, 18, 1072, 2535, 1187, 5472, 10260, 1005, 20096, 1368, 1324, 1072, 2535, 1187, 1449, 1035, 1022, 22526, 1063, 14471, 1058, 9905, 1890, 1006, 17893, 77, 2094, 1005, 1006, 8764, 1195, 3739, 1236, 1294, 19299, 3150, 1766, 5472, 1907, 23279, 1006, 6915, 1109, 1487, 1006, 5142, 7027, 1132, 1456, 2736, 11053, 18584, 1202, 1456, 19299, 3150, 1138, 10432, 21785, 5147, 28299, 12706, 1065, 1387, 1226, 2975, 1049, 23139, 2233, 18, 30122, 6363, 1026, 1235, 20, 1063, 5095, 16651, 1463, 2156, 1211, 4507, 1005, 7514, 20, 1482, 6465, 1324, 1132, 9551, 1049, 1387, 12731, 1029, 4537, 1027, 1184, 11712, 1166, 1233, 5618, 1009, 9710, 20, 3423, 1060, 17893, 77, 2094, 5756, 18, 2058, 8348, 1132, 1791, 20522, 2322, 4686, 1009, 1251, 16325, 2602, 1114, 1386, 5330, 3782, 1298, 1178, 2631, 1068, 1026, 9589, 28340, 1048, 4064, 1213, 28402, 3068, 5261, 8465, 1349, 2444, 1009, 1094, 3757, 1846, 1009, 6388, 1006, 29379, 1068, 1026, 15656, 20, 1266, 1422, 1006, 5142, 1138, 17882, 1049, 6158, 10213, 1114, 2924, 21096, 2177, 1026, 16479, 1063, 12084, 2196, 1049, 27743, 1048, 6368, 1026, 1603, 15470, 18495, 7174, 1187, 11333, 1118, 1083, 1006, 3519, 1318, 1114, 3232, 3019, 4802, 2270, 1, 1063, 1067, 11040, 2794, 1097, 2590, 6164, 1009, 5296, 1507, 2404, 15, 2203, 3205, 1114, 3696, 2429, 5261, 8465, 1349, 1132, 3145, 3770, 1009, 1044, 8553, 1048, 3339, 1065, 5604, 1026, 4618, 6516, 1183, 1399, 12368, 1060, 10049, 1054, 8581, 1554, 50, 1913, 1136, 1357, 1067, 11040, 1005, 7571, 29770, 3170, 6459, 4069, 1685, 1009, 5296, 1507, 2404, 1349, 1026, 2011, 13404, 9191, 1009, 1578, 9556, 7178, 1005, 19314, 4363, 9628, 1365, 16968, 1899, 1573, 1005, 12260, 1899, 1573, 2338, 6902, 12978, 22505, 1132, 9305, 1072, 5883, 1006, 4278, 1009, 10049, 1463, 2625, 15537, 1060, 5946, 1711, 1108, 1167, 21, 5273, 1153, 5842, 11166, 1206, 7799, 1845, 18610, 9124, 1096, 1006, 2921, 1060, 3443, 2432, 1060, 8699, 11005, 1009, 5296, 1507, 2404, 1005, 1060, 8699, 18556, 1009, 5311, 6032, 5296, 1087, 10442, 1728, 8, 52, 9997, 3489, 1096, 3823, 2266, 8244, 4837, 1043, 1006, 13664, 8846, 1054, 11810, 18, 1068, 1048, 1132, 9305, 6326, 2131, 1930, 1043, 2782, 9351, 1054, 2252, 1124, 6982, 1009, 17472, 1068, 1006, 10049, 1406, 5649, 1026, 16968, 21005, 10039, 2494, 2341, 30016, 12884, 1060, 1067, 11040, 2338, 6902, 20982, 2252, 1124, 24050, 6516, 1183, 1399, 2158, 3589, 6030, 26323, 12773, 4203, 7730, 1010, 1005, 1132, 6641, 1048, 1132, 15427, 9227, 1693, 6394, 1679, 3721, 9419, 5284, 30016, 1006, 13956, 1049, 8553, 3475, 1118, 1044, 13528, 3461, 2568, 1009, 6621, 18, 1890, 3179, 1044, 4183, 2247, 1009, 10510, 11051, 2672, 1043, 2093, 1056, 11163, 1711, 1182, 1517, 1416, 27273, 1048, 4100, 1034, 1005, 4176, 3770, 1009, 4412, 2392, 1554, 8, 54, 1259, 1508, 1664, 1132, 19153, 8608, 1391, 1543, 10089, 31310, 1048, 1327, 1132, 5364, 1009, 4415, 2125, 4176, 2502, 1043, 7810, 1375, 1100, 4727, 10828, 1197, 6505, 1005, 3332, 2602, 5224, 1048, 1596, 11618, 4430, 20, 4116, 2969, 5373, 1229, 1299, 6698, 1184, 11810, 1068, 3291, 1058, 1006, 26812, 5325, 1206, 15893, 3658, 2602, 1009, 1184, 1009, 1910, 7896, 1322, 5878, 2625, 24050, 20, 17573, 6236, 1006, 2921, 26812, 1298, 1178, 5483, 1294, 2250, 14396, 1009, 4618, 1206, 1072, 8590, 1048, 1566, 1325, 1043, 7488, 1038, 11166, 20, 2013, 1026, 2535, 1049, 1057, 2753, 1367, 1130, 1406, 7845, 7597, 20365, 4634, 16845, 3056, 5364, 20235, 1114, 7922, 1327, 3743, 1031, 9708, 88, 5345, 8886, 1044, 4313, 5140, 1054, 2539, 19879, 1084, 3230, 4929, 29767, 1406, 5649, 1006, 16968, 21005, 4862, 1145, 3512, 10767, 1060, 10605, 1377, 16971, 13658, 1006, 5243, 1112, 1005, 1006, 3722, 1060, 17360, 1068, 1752, 4415, 1060, 28854, 16971, 13658, 1006, 5243, 1112, 1005, 1006, 3722, 1060, 17360, 1068, 1752, 4415, 1060, 28854, 4049, 1081, 1177, 10799, 1009, 4236, 1026, 3319, 1009, 17360, 1187, 10880, 1054, 1752, 1094, 1271, 15537, 1060, 10049, 1005, 4099, 6613, 1006, 21327, 1060, 26812, 12908, 1294, 1184, 2625, 13897, 8608, 5345, 3782, 18450, 1493, 1006, 1664, 12356, 28360, 1005, 3587, 1006, 2926, 15289, 1566, 1048, 1620, 4929, 1114, 7967, 1406, 6066, 7597, 1010, 14770, 1009, 94, 1065, 3585, 2801, 22399, 5336, 16134, 1357, 2376, 4058, 71, 1072, 1852, 1009, 6391, 1068, 4618, 1717, 1006, 29633, 1160, 6133, 1072, 2025, 2275, 21726, 4544, 3241, 2281, 1044, 4545, 4513, 1599, 1160, 1195, 1043, 7810, 1375, 1100, 1309, 1160, 3901, 1048, 1160, 1976, 1178, 28355, 1406, 7845, 7597, 20365, 8254, 1860, 3401, 3429, 5616, 1596, 4254, 1312, 1357, 2376, 4058, 71, 3106, 19934, 2769, 1009, 27693, 4833, 8194, 1565, 1144, 2244, 1065, 4404, 92, 1130, 21, 1408, 6364, 1130, 1005, 1080, 6876, 1041, 1021, 1316, 1826, 6919, 3500, 1213, 22773, 2794, 5996, 26114, 1009, 4300, 1565, 8, 53, 6902, 3312, 10880, 1048, 1006, 4614, 1225, 17360, 1098, 16019, 1463, 9913, 1063, 4614, 1225, 17360, 1048, 26502, 2605, 1054, 2306, 37, 1482, 1048, 2803, 1060, 5946, 37, 3782, 1318, 1096, 27108, 1505, 1184, 1048, 1503, 7004, 75, 1044, 19084, 1068, 4618, 14228, 1072, 6402, 4230, 1261, 1006, 6443, 1009, 3291, 1511, 1274, 1930, 1511, 1058, 29378, 1026, 6573, 20, 1063, 3443, 2432, 1096, 2512, 2246, 1687, 2155, 3754, 1026, 1048, 29683, 1159, 1005, 1511, 2071, 1406, 7845, 10605, 1377, 52, 1016, 10947, 18070, 1026, 8553, 7012, 2177, 6342, 1114, 5623, 8206, 2376, 8432, 89, 1409, 2320, 1021, 2867, 4151, 13069, 20358, 95, 2159, 2487, 1053, 1031, 13069, 1230, 1678, 1094, 1271, 10694, 1068, 16968, 23917, 1063, 7898, 1096, 3574, 4882, 26560, 3240, 1009, 2303, 1043, 1006, 1880, 3843, 1063, 1067, 11040, 1005, 1006, 7571, 23009, 1048, 1264, 2374, 1009, 2490, 4374, 1021, 1243, 1054, 1664, 1132, 3140, 1048, 30669, 7213, 1043, 10049, 20, 4634, 1551, 2303, 1043, 1044, 15693, 21970, 1356, 16968, 21005, 2320, 168, 4058, 1594, 1269, 1060, 25469, 4385, 4868, 1049, 4288, 1009, 13664, 1060, 2828, 3517, 1049, 19690, 1006, 2779, 5092, 9527, 1068, 6391, 7100, 2017, 6967, 9909, 1325, 1054, 15538, 15, 1711, 2337, 2084, 29, 2744, 621, 5759, 6151, 4662, 16785, 1060, 7933, 9160, 29, 6616, 2338, 2285, 1009, 7178, 1048, 16109, 1357, 10049, 1071, 6795, 3162, 13690, 6456, 2271, 1026, 2738, 1060, 7967, 5759, 9930, 13201, 1049, 3225, 1009, 11342, 1478, 1071, 3006, 6418, 2308, 2621, 15, 1357, 5946, 1072, 1784, 1711, 30619, 26248, 1054, 1083, 0, 1009, 3403, 2855, 2814, 5891, 12994, 1229, 1026, 1561, 1096, 1026, 2277, 1908, 1043, 1184, 11342, 29647, 4083, 7024, 7872, 4537, 150, 1006, 17395, 1910, 10034, 1011, 1089, 76, 5010, 8384, 4082, 1068, 1132, 2138, 6547, 1571, 1006, 2779, 1096, 23681, 1712, 1048, 1006, 19711, 1482, 4732, 12994, 1229, 1054, 2869, 1233, 17224, 1026, 14230, 1096, 1026, 2285, 1044, 1365, 1132, 3825, 1048, 1184, 6011, 11342, 1478, 1054, 1224, 22626, 1063, 3836, 25615, 1159, 1044, 13877, 1195, 1801, 1265, 1029, 1140, 1357, 7488, 1038, 1406, 5649, 15569, 20, 1, 1063, 1073, 16106, 2645, 7518, 1154, 20098, 15726, 1060, 5007, 15, 15612, 2698, 1184, 1984, 24, 1783, 1118, 4455, 1294, 11442, 2933, 86, 1573, 1009, 1799, 1009, 2992, 20, 2034, 21724, 1596, 6626, 1009, 9710, 8465, 5056, 1006, 5355, 8387, 31870, 5710, 11056, 1620, 1048, 1132, 12478, 1600, 25240, 26622, 5195, 5216, 22775, 6375, 1187, 8016, 27407, 4726, 1727, 31267, 3259, 8, 15882, 13877, 1566, 1596, 15612, 5616, 1675, 10301, 1783, 1048, 3586, 20507, 1114, 13321, 1005, 25437, 74, 1112, 1009, 21123, 1049, 7026, 14845, 1049, 10422, 1049, 28224, 1005, 1049, 17328, 2794, 91, 1255, 1263, 5995, 3517, 1565, 15460, 1596, 2500, 1580, 1072, 24340, 1054, 3349, 1213, 5634, 1045, 1049, 30236, 2784, 1054, 8750, 2338, 2417, 1325, 7552, 1054, 6048, 1049, 2380, 28909, 1341, 1049, 19936, 4334, 14535, 3517, 1349, 1986, 1006, 2349, 1013, 2583, 1271, 29876, 15683, 2897, 1005, 1124, 22156, 28879, 1009, 3156, 1628, 2275, 5445, 12478, 1327, 25673, 1187, 4496, 10522, 23894, 1072, 7453, 13908, 32, 9705, 21236, 2669, 1005, 1455, 1698, 1006, 1210, 2602, 1149, 1365, 1124, 15607, 23383, 1717, 1132, 8470, 1074, 6324, 4743, 1845, 1476, 11534, 1356, 1681, 2099, 73, 12748, 13209, 1060, 5007, 4243, 18765, 11815, 1124, 21724, 5360, 1202, 1006, 6406, 1009, 16250, 1495, 1006, 4581, 1049, 24340, 1072, 4223, 45, 1049, 7783, 1114, 3861, 6007, 20, 5284, 1124, 17455, 1273, 1026, 2386, 21754, 1150, 1367, 1906, 3023, 1006, 3871, 13613, 84, 2485, 13547, 1005, 22114, 8, 1187, 22764, 1048, 10403, 1648, 1026, 9624, 1005, 1006, 1028, 1075, 1149, 1271, 6283, 24260, 1845, 13752, 1026, 31804, 1049, 17328, 3135, 11157, 1058, 13456, 1124, 21724, 1005, 17188, 1132, 25673, 1054, 13544, 9039, 4634, 1, 18753, 1783, 8097, 25731, 1114, 18393, 3019, 8733, 27195, 1986, 1751, 1049, 15713, 1009, 1094, 2573, 2204, 25932, 16757, 1024, 1072, 8527, 30429, 2037, 2413, 5046, 1009, 18805, 4906, 3279, 1764, 2434, 4964, 1224, 2612, 1072, 28233, 1132, 26431, 3523, 1412, 1048, 3251, 1783, 7444, 21312, 2425, 5006, 1043, 31088, 1009, 17499, 1154, 1916, 4634, 3232, 1006, 7030, 1009, 18805, 1577, 3574, 1079, 1026, 2285, 1068, 2848, 5477, 22874, 1048, 1596, 1756, 1312, 1213, 1683, 13871, 4134, 1097, 3115, 4708, 1005, 1213, 7590, 3584, 15596, 3097, 1054, 7019, 1022, 6267, 1087, 1095, 1529, 14770, 85, 13877, 5878, 1867, 1400, 1043, 2978, 7797, 5425, 1596, 1495, 1006, 2573, 21859, 1126, 1114, 6586, 1779, 1009, 26573, 1138, 26886, 85, 28801, 1411, 1060, 6068, 26583, 4064, 1006, 1178, 9376, 2270, 1063, 10319, 5947, 1005, 1026, 4948, 91, 2794, 1512, 5781, 1009, 20149, 1082, 5269, 1009, 1228, 6380, 1272, 15, 1318, 16240, 1072, 2386, 1049, 7279, 2855, 65, 5552, 67, 6149, 4195, 4850, 1009, 8343, 7989, 2252, 1124, 10017, 3586, 5925, 2426, 1406, 9415, 1132, 26431, 1072, 8556, 20, 4416, 2001, 4515, 1312, 1357, 31505, 9610, 1751, 1049, 15713, 1703, 2876, 1043, 1493, 1215, 11780, 1072, 20486, 3867, 1213, 2696, 1060, 2573, 21859, 14770, 16229, 3080, 1079, 2848, 2624, 1068, 1026, 8079, 1060, 2573, 2204, 25932, 10612, 1054, 1094, 1009, 1569, 4928, 10349, 1309, 1006, 3806, 1160, 16469, 4964, 26833, 1006, 7030, 1009, 18805, 1577, 1973, 1048, 11064, 2133, 1393, 1009, 1871, 13338, 1005, 1048, 2284, 2281, 2281, 23074, 4039, 1837, 1044, 3681, 1356, 7414, 1009, 15990, 2983, 1009, 7860, 3716, 1005, 1357, 27693, 4833, 8194, 1118, 3971, 1009, 10477, 5790, 2922, 1271, 3295, 78, 1009, 2799, 2528, 1006, 8592, 4979, 1048, 17776, 7949, 1356, 8500, 1048, 1058, 18477, 4435, 1599, 1005, 23074, 22416, 1044, 2696, 5771, 5489, 1048, 1318, 1836, 13338, 30716, 18310, 1096, 1009, 1048, 1026, 2696, 3241, 2281, 6888, 1890, 1006, 15328, 2166, 1026, 1048, 1096, 5077, 8959, 1672, 9545, 4350, 1006, 1957, 12526, 5191, 8830, 20, 1424, 3005, 1026, 5456, 1627, 3994, 1233, 27693, 4833, 23797, 7412, 6825, 1026, 15490, 1049, 11093, 1945, 1009, 8542, 1406, 1919, 1006, 6347, 20, 5284, 1006, 6338, 1060, 8084, 30022, 1026, 2535, 2155, 1178, 4538, 1069, 1357, 6068, 5947, 1049, 22946, 16066, 1060, 6586, 1779, 1009, 3042, 1195, 23074, 5780, 1068, 1200, 24436, 1, 6729, 1434, 8191, 83, 1870, 1307, 2443, 3765, 1094, 17405, 6521, 1114, 28570, 1357, 1944, 5326, 7312, 1235, 2790, 1006, 5085, 1060, 2700, 1009, 14644, 1009, 7427, 8289, 28929, 1124, 2688, 1044, 1033, 17980, 1208, 1118, 2179, 1316, 31135, 15, 1048, 6470, 1224, 14382, 1495, 2276, 1054, 12447, 1054, 12795, 18, 1009, 77, 2107, 1078, 3144, 4116, 25370, 6272, 7398, 2613, 7117, 1026, 6159, 4979, 1048, 10815, 1054, 1058, 13025, 3749, 1986, 1124, 21724, 1050, 7142, 1233, 1030, 2801, 1005, 9923, 1261, 2281, 13410, 1069, 2799, 6144, 1114, 9850, 3172, 27360, 1261, 30974, 2073, 27505, 1309, 25824, 1261, 2281, 22373, 1221, 1043, 1124, 3680, 1048, 8311, 1114, 22608, 5153, 1201, 3205, 1264, 8755, 1048, 1224, 17472, 2569, 4599, 1072, 15928, 8289, 24323, 1118, 1264, 26945, 1511, 2257, 2523, 4844, 1138, 7355, 4834, 2281, 29399, 1118, 1044, 18969, 29082, 1048, 1616, 2521, 1118, 4982, 1195, 25590, 1006, 8289, 1149, 1054, 2348, 1834, 1009, 1094, 1871, 1048, 1836, 6255, 2979, 1049, 2092, 3603, 1406, 4979, 20, 11363, 1836, 1240, 7770, 1091, 10602, 27321, 2654, 1160, 2257, 9004, 1272, 1114, 27321, 1063, 8289, 1149, 1195, 12392, 1006, 4982, 1009, 1094, 1871, 25176, 1571, 1503, 1160, 2257, 3603, 20, 31250, 9200, 2276, 1596, 32, 4647, 1261, 1026, 3603, 1060, 18744, 2799, 6144, 9485, 2855, 4634, 8191, 6587, 1973, 2464, 22465, 1998, 2257, 22102, 1049, 15928, 8289, 1657, 1006, 2156, 1783, 1711 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1049, 2277, 4248, 1043, 7101, 1140, 1009, 17903, 1079, 72, 1319, 1796, 82, 11334, 1986, 1448, 1526, 4475, 1063, 2759, 1060, 21473, 28254, 4064, 1213, 12634, 1657, 1294, 1251, 16325, 17576, 1043, 1344, 3496, 1100, 1009, 19299, 79, 1845, 1521, 3765, 1557, 1009, 9389, 1124, 5908, 9507, 1044, 4530, 29787, 1175, 5193, 3266, 2566, 1049, 2933, 18, 1072, 2535, 1187, 5472, 10260, 1005, 20096, 1368, 1324, 1072, 2535, 1187, 1449, 1035, 1022, 22526, 1063, 14471, 1058, 9905, 1890, 1006, 17893, 77, 2094, 1005, 1006, 8764, 1195, 3739, 1236, 1294, 19299, 3150, 1766, 5472, 1907, 23279, 1006, 6915, 1109, 1487, 1006, 5142, 7027, 1132, 1456, 2736, 11053, 18584, 1202, 1456, 19299, 3150, 1138, 10432, 21785, 5147, 28299, 12706, 1065, 1387, 1226, 2975, 1049, 23139, 2233, 18, 30122, 6363, 1026, 1235, 20, 1063, 5095, 16651, 1463, 2156, 1211, 4507, 1005, 7514, 20, 1482, 6465, 1324, 1132, 9551, 1049, 1387, 12731, 1029, 4537, 1027, 1184, 11712, 1166, 1233, 5618, 1009, 9710, 20, 3423, 1060, 17893, 77, 2094, 5756, 18, 2058, 8348, 1132, 1791, 20522, 2322, 4686, 1009, 1251, 16325, 2602, 1114, 1386, 5330, 3782, 1298, 1178, 2631, 1068, 1026, 9589, 28340, 1048, 4064, 1213, 28402, 3068, 5261, 8465, 1349, 2444, 1009, 1094, 3757, 1846, 1009, 6388, 1006, 29379, 1068, 1026, 15656, 20, 1266, 1422, 1006, 5142, 1138, 17882, 1049, 6158, 10213, 1114, 2924, 21096, 2177, 1026, 16479, 1063, 12084, 2196, 1049, 27743, 1048, 6368, 1026, 1603, 15470, 18495, 7174, 1187, 11333, 1118, 1083, 1006, 3519, 1318, 1114, 3232, 3019, 4802, 2270, 1, 1063, 1067, 11040, 2794, 1097, 2590, 6164, 1009, 5296, 1507, 2404, 15, 2203, 3205, 1114, 3696, 2429, 5261, 8465, 1349, 1132, 3145, 3770, 1009, 1044, 8553, 1048, 3339, 1065, 5604, 1026, 4618, 6516, 1183, 1399, 12368, 1060, 10049, 1054, 8581, 1554, 50, 1913, 1136, 1357, 1067, 11040, 1005, 7571, 29770, 3170, 6459, 4069, 1685, 1009, 5296, 1507, 2404, 1349, 1026, 2011, 13404, 9191, 1009, 1578, 9556, 7178, 1005, 19314, 4363, 9628, 1365, 16968, 1899, 1573, 1005, 12260, 1899, 1573, 2338, 6902, 12978, 22505, 1132, 9305, 1072, 5883, 1006, 4278, 1009, 10049, 1463, 2625, 15537, 1060, 5946, 1711, 1108, 1167, 21, 5273, 1153, 5842, 11166, 1206, 7799, 1845, 18610, 9124, 1096, 1006, 2921, 1060, 3443, 2432, 1060, 8699, 11005, 1009, 5296, 1507, 2404, 1005, 1060, 8699, 18556, 1009, 5311, 6032, 5296, 1087, 10442, 1728, 8, 52, 9997, 3489, 1096, 3823, 2266, 8244, 4837, 1043, 1006, 13664, 8846, 1054, 11810, 18, 1068, 1048, 1132, 9305, 6326, 2131, 1930, 1043, 2782, 9351, 1054, 2252, 1124, 6982, 1009, 17472, 1068, 1006, 10049, 1406, 5649, 1026, 16968, 21005, 10039, 2494, 2341, 30016, 12884, 1060, 1067, 11040, 2338, 6902, 20982, 2252, 1124, 24050, 6516, 1183, 1399, 2158, 3589, 6030, 26323, 12773, 4203, 7730, 1010, 1005, 1132, 6641, 1048, 1132, 15427, 9227, 1693, 6394, 1679, 3721, 9419, 5284, 30016, 1006, 13956, 1049, 8553, 3475, 1118, 1044, 13528, 3461, 2568, 1009, 6621, 18, 1890, 3179, 1044, 4183, 2247, 1009, 10510, 11051, 2672, 1043, 2093, 1056, 11163, 1711, 1182, 1517, 1416, 27273, 1048, 4100, 1034, 1005, 4176, 3770, 1009, 4412, 2392, 1554, 8, 54, 1259, 1508, 1664, 1132, 19153, 8608, 1391, 1543, 10089, 31310, 1048, 1327, 1132, 5364, 1009, 4415, 2125, 4176, 2502, 1043, 7810, 1375, 1100, 4727, 10828, 1197, 6505, 1005, 3332, 2602, 5224, 1048, 1596, 11618, 4430, 20, 4116, 2969, 5373, 1229, 1299, 6698, 1184, 11810, 1068, 3291, 1058, 1006, 26812, 5325, 1206, 15893, 3658, 2602, 1009, 1184, 1009, 1910, 7896, 1322, 5878, 2625, 24050, 20, 17573, 6236, 1006, 2921, 26812, 1298, 1178, 5483, 1294, 2250, 14396, 1009, 4618, 1206, 1072, 8590, 1048, 1566, 1325, 1043, 7488, 1038, 11166, 20, 2013, 1026, 2535, 1049, 1057, 2753, 1367, 1130, 1406, 7845, 7597, 20365, 4634, 16845, 3056, 5364, 20235, 1114, 7922, 1327, 3743, 1031, 9708, 88, 5345, 8886, 1044, 4313, 5140, 1054, 2539, 19879, 1084, 3230, 4929, 29767, 1406, 5649, 1006, 16968, 21005, 4862, 1145, 3512, 10767, 1060, 10605, 1377, 16971, 13658, 1006, 5243, 1112, 1005, 1006, 3722, 1060, 17360, 1068, 1752, 4415, 1060, 28854, 16971, 13658, 1006, 5243, 1112, 1005, 1006, 3722, 1060, 17360, 1068, 1752, 4415, 1060, 28854, 4049, 1081, 1177, 10799, 1009, 4236, 1026, 3319, 1009, 17360, 1187, 10880, 1054, 1752, 1094, 1271, 15537, 1060, 10049, 1005, 4099, 6613, 1006, 21327, 1060, 26812, 12908, 1294, 1184, 2625, 13897, 8608, 5345, 3782, 18450, 1493, 1006, 1664, 12356, 28360, 1005, 3587, 1006, 2926, 15289, 1566, 1048, 1620, 4929, 1114, 7967, 1406, 6066, 7597, 1010, 14770, 1009, 94, 1065, 3585, 2801, 22399, 5336, 16134, 1357, 2376, 4058, 71, 1072, 1852, 1009, 6391, 1068, 4618, 1717, 1006, 29633, 1160, 6133, 1072, 2025, 2275, 21726, 4544, 3241, 2281, 1044, 4545, 4513, 1599, 1160, 1195, 1043, 7810, 1375, 1100, 1309, 1160, 3901, 1048, 1160, 1976, 1178, 28355, 1406, 7845, 7597, 20365, 8254, 1860, 3401, 3429, 5616, 1596, 4254, 1312, 1357, 2376, 4058, 71, 3106, 19934, 2769, 1009, 27693, 4833, 8194, 1565, 1144, 2244, 1065, 4404, 92, 1130, 21, 1408, 6364, 1130, 1005, 1080, 6876, 1041, 1021, 1316, 1826, 6919, 3500, 1213, 22773, 2794, 5996, 26114, 1009, 4300, 1565, 8, 53, 6902, 3312, 10880, 1048, 1006, 4614, 1225, 17360, 1098, 16019, 1463, 9913, 1063, 4614, 1225, 17360, 1048, 26502, 2605, 1054, 2306, 37, 1482, 1048, 2803, 1060, 5946, 37, 3782, 1318, 1096, 27108, 1505, 1184, 1048, 1503, 7004, 75, 1044, 19084, 1068, 4618, 14228, 1072, 6402, 4230, 1261, 1006, 6443, 1009, 3291, 1511, 1274, 1930, 1511, 1058, 29378, 1026, 6573, 20, 1063, 3443, 2432, 1096, 2512, 2246, 1687, 2155, 3754, 1026, 1048, 29683, 1159, 1005, 1511, 2071, 1406, 7845, 10605, 1377, 52, 1016, 10947, 18070, 1026, 8553, 7012, 2177, 6342, 1114, 5623, 8206, 2376, 8432, 89, 1409, 2320, 1021, 2867, 4151, 13069, 20358, 95, 2159, 2487, 1053, 1031, 13069, 1230, 1678, 1094, 1271, 10694, 1068, 16968, 23917, 1063, 7898, 1096, 3574, 4882, 26560, 3240, 1009, 2303, 1043, 1006, 1880, 3843, 1063, 1067, 11040, 1005, 1006, 7571, 23009, 1048, 1264, 2374, 1009, 2490, 4374, 1021, 1243, 1054, 1664, 1132, 3140, 1048, 30669, 7213, 1043, 10049, 20, 4634, 1551, 2303, 1043, 1044, 15693, 21970, 1356, 16968, 21005, 2320, 168, 4058, 1594, 1269, 1060, 25469, 4385, 4868, 1049, 4288, 1009, 13664, 1060, 2828, 3517, 1049, 19690, 1006, 2779, 5092, 9527, 1068, 6391, 7100, 2017, 6967, 9909, 1325, 1054, 15538, 15, 1711, 2337, 2084, 29, 2744, 621, 5759, 6151, 4662, 16785, 1060, 7933, 9160, 29, 6616, 2338, 2285, 1009, 7178, 1048, 16109, 1357, 10049, 1071, 6795, 3162, 13690, 6456, 2271, 1026, 2738, 1060, 7967, 5759, 9930, 13201, 1049, 3225, 1009, 11342, 1478, 1071, 3006, 6418, 2308, 2621, 15, 1357, 5946, 1072, 1784, 1711, 30619, 26248, 1054, 1083, 0, 1009, 3403, 2855, 2814, 5891, 12994, 1229, 1026, 1561, 1096, 1026, 2277, 1908, 1043, 1184, 11342, 29647, 4083, 7024, 7872, 4537, 150, 1006, 17395, 1910, 10034, 1011, 1089, 76, 5010, 8384, 4082, 1068, 1132, 2138, 6547, 1571, 1006, 2779, 1096, 23681, 1712, 1048, 1006, 19711, 1482, 4732, 12994, 1229, 1054, 2869, 1233, 17224, 1026, 14230, 1096, 1026, 2285, 1044, 1365, 1132, 3825, 1048, 1184, 6011, 11342, 1478, 1054, 1224, 22626, 1063, 3836, 25615, 1159, 1044, 13877, 1195, 1801, 1265, 1029, 1140, 1357, 7488, 1038, 1406, 5649, 15569, 20, 1, 1063, 1073, 16106, 2645, 7518, 1154, 20098, 15726, 1060, 5007, 15, 15612, 2698, 1184, 1984, 24, 1783, 1118, 4455, 1294, 11442, 2933, 86, 1573, 1009, 1799, 1009, 2992, 20, 2034, 21724, 1596, 6626, 1009, 9710, 8465, 5056, 1006, 5355, 8387, 31870, 5710, 11056, 1620, 1048, 1132, 12478, 1600, 25240, 26622, 5195, 5216, 22775, 6375, 1187, 8016, 27407, 4726, 1727, 31267, 3259, 8, 15882, 13877, 1566, 1596, 15612, 5616, 1675, 10301, 1783, 1048, 3586, 20507, 1114, 13321, 1005, 25437, 74, 1112, 1009, 21123, 1049, 7026, 14845, 1049, 10422, 1049, 28224, 1005, 1049, 17328, 2794, 91, 1255, 1263, 5995, 3517, 1565, 15460, 1596, 2500, 1580, 1072, 24340, 1054, 3349, 1213, 5634, 1045, 1049, 30236, 2784, 1054, 8750, 2338, 2417, 1325, 7552, 1054, 6048, 1049, 2380, 28909, 1341, 1049, 19936, 4334, 14535, 3517, 1349, 1986, 1006, 2349, 1013, 2583, 1271, 29876, 15683, 2897, 1005, 1124, 22156, 28879, 1009, 3156, 1628, 2275, 5445, 12478, 1327, 25673, 1187, 4496, 10522, 23894, 1072, 7453, 13908, 32, 9705, 21236, 2669, 1005, 1455, 1698, 1006, 1210, 2602, 1149, 1365, 1124, 15607, 23383, 1717, 1132, 8470, 1074, 6324, 4743, 1845, 1476, 11534, 1356, 1681, 2099, 73, 12748, 13209, 1060, 5007, 4243, 18765, 11815, 1124, 21724, 5360, 1202, 1006, 6406, 1009, 16250, 1495, 1006, 4581, 1049, 24340, 1072, 4223, 45, 1049, 7783, 1114, 3861, 6007, 20, 5284, 1124, 17455, 1273, 1026, 2386, 21754, 1150, 1367, 1906, 3023, 1006, 3871, 13613, 84, 2485, 13547, 1005, 22114, 8, 1187, 22764, 1048, 10403, 1648, 1026, 9624, 1005, 1006, 1028, 1075, 1149, 1271, 6283, 24260, 1845, 13752, 1026, 31804, 1049, 17328, 3135, 11157, 1058, 13456, 1124, 21724, 1005, 17188, 1132, 25673, 1054, 13544, 9039, 4634, 1, 18753, 1783, 8097, 25731, 1114, 18393, 3019, 8733, 27195, 1986, 1751, 1049, 15713, 1009, 1094, 2573, 2204, 25932, 16757, 1024, 1072, 8527, 30429, 2037, 2413, 5046, 1009, 18805, 4906, 3279, 1764, 2434, 4964, 1224, 2612, 1072, 28233, 1132, 26431, 3523, 1412, 1048, 3251, 1783, 7444, 21312, 2425, 5006, 1043, 31088, 1009, 17499, 1154, 1916, 4634, 3232, 1006, 7030, 1009, 18805, 1577, 3574, 1079, 1026, 2285, 1068, 2848, 5477, 22874, 1048, 1596, 1756, 1312, 1213, 1683, 13871, 4134, 1097, 3115, 4708, 1005, 1213, 7590, 3584, 15596, 3097, 1054, 7019, 1022, 6267, 1087, 1095, 1529, 14770, 85, 13877, 5878, 1867, 1400, 1043, 2978, 7797, 5425, 1596, 1495, 1006, 2573, 21859, 1126, 1114, 6586, 1779, 1009, 26573, 1138, 26886, 85, 28801, 1411, 1060, 6068, 26583, 4064, 1006, 1178, 9376, 2270, 1063, 10319, 5947, 1005, 1026, 4948, 91, 2794, 1512, 5781, 1009, 20149, 1082, 5269, 1009, 1228, 6380, 1272, 15, 1318, 16240, 1072, 2386, 1049, 7279, 2855, 65, 5552, 67, 6149, 4195, 4850, 1009, 8343, 7989, 2252, 1124, 10017, 3586, 5925, 2426, 1406, 9415, 1132, 26431, 1072, 8556, 20, 4416, 2001, 4515, 1312, 1357, 31505, 9610, 1751, 1049, 15713, 1703, 2876, 1043, 1493, 1215, 11780, 1072, 20486, 3867, 1213, 2696, 1060, 2573, 21859, 14770, 16229, 3080, 1079, 2848, 2624, 1068, 1026, 8079, 1060, 2573, 2204, 25932, 10612, 1054, 1094, 1009, 1569, 4928, 10349, 1309, 1006, 3806, 1160, 16469, 4964, 26833, 1006, 7030, 1009, 18805, 1577, 1973, 1048, 11064, 2133, 1393, 1009, 1871, 13338, 1005, 1048, 2284, 2281, 2281, 23074, 4039, 1837, 1044, 3681, 1356, 7414, 1009, 15990, 2983, 1009, 7860, 3716, 1005, 1357, 27693, 4833, 8194, 1118, 3971, 1009, 10477, 5790, 2922, 1271, 3295, 78, 1009, 2799, 2528, 1006, 8592, 4979, 1048, 17776, 7949, 1356, 8500, 1048, 1058, 18477, 4435, 1599, 1005, 23074, 22416, 1044, 2696, 5771, 5489, 1048, 1318, 1836, 13338, 30716, 18310, 1096, 1009, 1048, 1026, 2696, 3241, 2281, 6888, 1890, 1006, 15328, 2166, 1026, 1048, 1096, 5077, 8959, 1672, 9545, 4350, 1006, 1957, 12526, 5191, 8830, 20, 1424, 3005, 1026, 5456, 1627, 3994, 1233, 27693, 4833, 23797, 7412, 6825, 1026, 15490, 1049, 11093, 1945, 1009, 8542, 1406, 1919, 1006, 6347, 20, 5284, 1006, 6338, 1060, 8084, 30022, 1026, 2535, 2155, 1178, 4538, 1069, 1357, 6068, 5947, 1049, 22946, 16066, 1060, 6586, 1779, 1009, 3042, 1195, 23074, 5780, 1068, 1200, 24436, 1, 6729, 1434, 8191, 83, 1870, 1307, 2443, 3765, 1094, 17405, 6521, 1114, 28570, 1357, 1944, 5326, 7312, 1235, 2790, 1006, 5085, 1060, 2700, 1009, 14644, 1009, 7427, 8289, 28929, 1124, 2688, 1044, 1033, 17980, 1208, 1118, 2179, 1316, 31135, 15, 1048, 6470, 1224, 14382, 1495, 2276, 1054, 12447, 1054, 12795, 18, 1009, 77, 2107, 1078, 3144, 4116, 25370, 6272, 7398, 2613, 7117, 1026, 6159, 4979, 1048, 10815, 1054, 1058, 13025, 3749, 1986, 1124, 21724, 1050, 7142, 1233, 1030, 2801, 1005, 9923, 1261, 2281, 13410, 1069, 2799, 6144, 1114, 9850, 3172, 27360, 1261, 30974, 2073, 27505, 1309, 25824, 1261, 2281, 22373, 1221, 1043, 1124, 3680, 1048, 8311, 1114, 22608, 5153, 1201, 3205, 1264, 8755, 1048, 1224, 17472, 2569, 4599, 1072, 15928, 8289, 24323, 1118, 1264, 26945, 1511, 2257, 2523, 4844, 1138, 7355, 4834, 2281, 29399, 1118, 1044, 18969, 29082, 1048, 1616, 2521, 1118, 4982, 1195, 25590, 1006, 8289, 1149, 1054, 2348, 1834, 1009, 1094, 1871, 1048, 1836, 6255, 2979, 1049, 2092, 3603, 1406, 4979, 20, 11363, 1836, 1240, 7770, 1091, 10602, 27321, 2654, 1160, 2257, 9004, 1272, 1114, 27321, 1063, 8289, 1149, 1195, 12392, 1006, 4982, 1009, 1094, 1871, 25176, 1571, 1503, 1160, 2257, 3603, 20, 31250, 9200, 2276, 1596, 32, 4647, 1261, 1026, 3603, 1060, 18744, 2799, 6144, 9485, 2855, 4634, 8191, 6587, 1973, 2464, 22465, 1998, 2257, 22102, 1049, 15928, 8289, 1657, 1006, 2156, 1783, 1711 ]

[ 8433, 1273, 1006, 17443, 1148, 1318, 1298, 14632, 1044, 4465, 1114, 2935, 1963, 5160, 3806, 1009, 31538, 1230, 1876, 1206, 1015, 1230, 1618, 1034, 1533, 4465, 1060, 1963, 1070, 1112, 1298, 10505, 1118, 6640, 16415, 31692, 1206, 1118, 14968, 1060, 1009, 17340, 1088, 1346, 1060, 1963, 1525, 3121, 1679, 1198, 2402, 1010, 3915, 2739, 17476, 92, 5006, 1989, 4635, 4852, 1058, 8491, 1592, 1846, 1049, 2822, 1187, 1198, 2402, 1229, 9274, 12617, 1130, 1495, 1026, 1852, 1060, 15451, 2904, 3744, 1192, 1112, 18284, 1453, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 4215, 1114, 1487, 0, 1006, 1675, 0, 3757, 1704, 4465, 1060, 2935, 1049, 16415, 3809, 20657, 7293, 2801, 1114, 15451, 1381, 1043, 1048, 2088, 9134, 1005, 15975, 1049, 2823, 25847, 1184, 2373, 76, 1792, 14034, 626, 1206, 2373, 28749, 94, 1166, 8226, 3782, 2755, 1009, 1871, 1006, 10830, 1006, 1807, 9330, 1009, 7423, 1049, 1552, 25024, 1048, 1325, 1118, 3505, 13906, 3530, 9134, 1826, 1132, 18284, 13148, 2464, 1118, 5658, 1656, 6937, 1009, 1224, 4008, 1009, 1717, 4492, 2643, 1184, 9120, 1009, 3647, 1026, 12513, 18284, 1453, 22309, 14802, 1054, 6862, 1009, 1050, 10101, 4578, 3291, 1184, 1322, 1006, 6862, 1009, 26341, 3694, 2123, 12920, 8531, 1192, 1112, 18284, 1453, 6383, 1024, 8257, 1098, 1358, 1140, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1118, 2922, 1060, 1487, 0, 1006, 1675, 0, 3757, 10599, 18608, 1589, 1495, 1006, 3757, 12824, 1048, 2258, 1034, 10602, 30997, 30864, 2201, 3579, 1126, 1005, 8318, 1009, 11600, 1006, 30997, 1566, 1160, 22138, 1184, 1054, 2922, 1060, 25194, 19639, 1298, 10505, 16037, 1592, 1511, 1026, 1033, 2526, 1620, 1096, 1493, 4674, 1068, 16934, 1026, 1552, 1363, 1100, 2350, 3680, 9977, 1044, 4918, 31643, 1370, 1114, 2413, 27049, 1453, 1048, 2755, 1159, 11992, 1049, 2823, 1068, 16737, 1026, 4758, 2015, 1014, 1468, 17839, 31643, 1370, 1096, 2143, 4635, 4852, 1048, 1298, 1178, 14378, 1188, 1043, 1132, 9240, 4283, 3752, 1051, 5060, 1102, 4578, 5574, 1124, 3145, 11855, 1009, 31643, 1370, 1114, 2696, 1602, 1126, 21879, 1026, 4941, 32, 4611, 1093, 1016, 1009, 25194, 1098, 1358, 1140, 2904, 1056, 1352, 1370, 1005, 11808, 30079, 1940, 1013, 1022, 1272, 32, 1493, 3707, 11492, 13879, 32, 1487, 0, 1006, 1675, 0, 3757, 9346, 5223, 1009, 29422, 1370, 1169, 2099, 1266, 2299, 1726, 1569, 3638, 21363, 1096, 1044, 4635, 4852, 1009, 15451, 1493, 26719, 1603, 1299, 1566, 1225, 1094, 11309, 11712, 2636, 1890, 1026, 4604, 1687, 1298, 18833, 22707, 1525, 1072, 2738, 1060, 17443, 1055, 1533, 19692, 1049, 11808, 1318, 1096, 1493, 26719, 1138, 1235, 2823, 4145, 7880, 1009, 1048, 3135, 23886, 1043, 1184, 8692, 20, 3713, 1298, 5184, 1006, 11146, 1848, 1068, 1006, 14143, 1184, 12606, 1005, 1261, 1184, 9120, 1049, 1048, 1026, 29032, 1068, 7266, 1024, 1357, 5096, 20, 5845, 1026, 4604, 1094, 3593, 2776, 6464, 3449, 1178, 2289, 1026, 1048, 1299, 1184, 5902, 5653, 1048, 1124, 17476, 24087, 21660, 3360, 11808, 1005, 29422, 1370, 9878, 29422, 1370, 1005, 1026, 11808, 1114, 15451, 13876, 1118, 6476, 16415, 1081, 2565, 3587, 1060, 20657, 7293, 11875, 1048, 26112, 5232, 1072, 2380, 23987, 5046, 1005, 1294, 5061, 8268, 17560, 1005, 29763, 20449, 1704, 29422, 1370, 1096, 1044, 4635, 4852, 1049, 2738, 1060, 15451, 1048, 13724, 1532, 24278, 1072, 2277, 16333, 20, 1776, 2268, 1264, 8089, 1072, 1852, 1060, 15451, 18, 1511, 1026, 10425, 1566, 1058, 3250, 1807, 1005, 16084, 4578, 3291, 1184, 1322, 1026, 29422, 1370, 1005, 1026, 12995, 1009, 11808, 1114, 15451, 18, 2123, 12920, 3217, 1352, 1370, 1005, 11808, 1114, 15451, 3021, 1031, 1055, 23195, 1940, 1013, 1022, 1272, 32, 1493, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1487, 0, 1206, 1675, 0, 3757, 15342, 2916, 1009, 4234, 7082, 1009, 15451, 18, 1006, 28281, 5090, 1006, 4877, 6411, 1009, 3764, 3256, 1043, 1712, 8692, 20, 14327, 8203, 1213, 16581, 1693, 2755, 5793, 19045, 1890, 1006, 15328, 2166, 18140, 24473, 1026, 11808, 1060, 17443, 1148, 5653, 1048, 1006, 28281, 3764, 1342, 1043, 8692, 37, 25999, 6316, 18070, 1026, 4465, 1060, 3764, 1342, 2755, 1118, 6937, 1060, 4008, 1060, 1080, 1774, 2327, 1058, 1116, 27453, 1787, 3698, 3240, 3121, 1213, 10796, 1303, 9189, 1069, 2309, 16415, 15349, 1060, 15451, 20, 1776, 1852, 1060, 15451, 18, 1026, 1033, 2526, 1493, 1807, 13291, 75, 1006, 1080, 1774, 20692, 19053, 1224, 4008, 1009, 10197, 1005, 3748, 1043, 1048, 6941, 16439, 1566, 13230, 1019, 1089, 1040, 6411, 1009, 3764, 3256, 1704, 4465, 1060, 8692, 3764, 8162, 1096, 1044, 4635, 4852, 1009, 15451, 1048, 13879, 10126, 73, 2160, 18, 2755, 1054, 8989, 8934, 1271, 17476, 24087, 1005, 2464, 29910, 4217, 1495, 1026, 1852, 1060, 17443, 1055, 7297, 2512, 14632, 1048, 1058, 1026, 4465, 1114, 8692, 3764, 8162, 1050, 3448, 20891, 1009, 3764, 1342, 1184, 16463, 8826, 20920, 1272, 1068, 3764, 1021, 1930, 1094, 16072, 3764, 8162, 1298, 1178, 1006, 3865, 4578, 5470, 1322, 1006, 16072, 3764, 8162, 1114, 15451, 18, 21879, 32, 5296, 7078, 3764, 8162, 1114, 15451, 3590, 4201, 5282, 23691, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1675, 0, 3757, 1704, 7928, 1118, 11465, 1043, 1580, 1463, 6316, 7082, 1009, 17443, 1055, 1096, 1044, 1187, 9240, 1184, 1373, 2628, 1438, 1060, 15451, 20, 10497, 19611, 23956, 1693, 1495, 1663, 3680, 30080, 10581, 1786, 7142, 6411, 1009, 14308, 1172, 1258, 23453, 22647, 3590, 85, 1592, 3756, 1048, 7960, 7142, 3530, 4626, 1229, 1124, 17476, 24087, 1318, 1693, 5924, 1801, 1248, 1121, 1006, 11465, 1043, 1580, 8826, 1413, 12111, 1063, 4033, 9868, 12363, 1048, 1299, 26909, 27926, 1890, 1006, 17443, 2762, 7907, 6256, 1028, 150, 8433, 1016, 1998, 1009, 4125, 1357, 4361, 5653, 1048, 1124, 17476, 24087, 21660, 19611, 37, 8422, 12950, 7215, 1026, 20874, 1187, 19611, 23691, 1060, 15451, 20, 8991, 5136, 1857, 19942, 1929, 1402, 1726, 6476, 31749, 1005, 1679, 2395, 1361, 1187, 16415, 1550, 4261, 3587, 1060, 20657, 7293, 2801, 1005, 1049, 1172, 41, 45, 5653, 1048, 2350, 17476, 24087, 2643, 6411, 1009, 14308, 3469, 3347, 12223, 1159, 20864, 1078, 1100, 11953, 1206, 3548, 9878, 7928, 1009, 14308, 15623, 1048, 1160, 1327, 9943, 6648, 1096, 3509, 1009, 11397, 1046, 1029, 8010, 1206, 1008, 3336, 3735, 3530, 19611, 23956, 19942, 1114, 15451, 18, 1616, 1298, 1178, 1044, 6550, 1009, 10673, 1009, 5335, 2440, 1088, 1092, 4837, 1159, 30364, 2752, 17304, 1206, 3835, 7400, 12448, 1133, 2765, 1049, 1881, 31998, 1005, 1049, 2022, 26652, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1213, 5211, 1060, 1675, 0, 3757, 8245, 1009, 1261, 19611, 1005, 1801, 1248, 1121, 15174, 2106, 1006, 5042, 1009, 1881, 31998, 1096, 2143, 4635, 4852, 1493, 3707, 1009, 15451, 3590, 1097, 1018, 1693, 1178, 4531, 19471, 79, 3628, 2603, 1400, 1026, 7483, 1048, 1299, 26909, 5103, 1006, 1261, 1044, 10278, 1116, 1995, 1177, 1005, 1890, 1026, 1531, 1299, 1298, 4877, 1044, 7482, 1009, 8948, 1114, 11719, 1305, 7065, 19131, 1533, 16016, 1006, 1026, 2650, 8068, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1118, 2922, 1060, 1675, 0, 3757, 25660, 1159, 2088, 6648, 24514, 1198, 2402, 1010, 1463, 6316, 7082, 1009, 15451, 18, 1026, 2650, 5177, 1229, 1592, 1048, 5215, 9490, 1159, 1132, 1009, 6056, 17965, 1206, 1043, 5006, 1693, 1663, 1299, 1058, 4877, 1198, 2402, 3567, 1138, 2650, 31488, 1206, 1493, 25928, 1159, 25141, 1009, 22678, 2586, 7763, 1078, 3097, 10734, 1066, 9087, 3195, 1009, 6777, 7253, 31898, 24514, 1026, 1592, 5654, 8530, 4635, 4852, 3707, 1009, 15451, 1096, 1094, 1712, 18139, 1049, 2022, 76, 20743, 1063, 17443, 1148, 4768, 1006, 5223, 1009, 1261, 8744, 1044, 2201, 2022, 76, 20743, 1138, 2650, 1048, 1475, 2241, 8589, 1619, 1402, 1206, 1160, 20079, 18749, 2364, 1058, 13243, 15442, 1520, 2445, 1833, 6312, 3263, 23195, 1009, 18835, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 4116, 5211, 1060, 1675, 0, 3757, 12448, 6897, 3680, 7085, 1046, 1044, 4465, 1187, 18835, 18284, 6493, 1463, 6316, 7082, 1009, 15451, 20, 6062, 1298, 1178, 1044, 4635, 4852, 27941, 1872, 85, 1294, 4278, 1054, 1048, 1006, 17443, 1148, 3135, 3659, 3229, 18932, 2453, 1009, 1044, 7658, 1206, 5309, 1043, 2089, 1783, 1059, 8197, 1327, 1132, 9240, 1009, 18835, 1114, 15451, 9878, 12995, 1009, 18835, 1114, 17443, 1055, 1058, 6744, 13724, 1532, 1159, 1044, 4465, 1060, 4716, 1009, 11033, 2495, 1005, 1009, 27894, 3454, 2746, 6266, 1036, 1349, 5223, 1009, 1345, 74, 2214, 1051, 1928, 1444, 2647, 5223, 1009, 18835, 24357, 1371, 1294, 18284, 2972, 1005, 1011, 23462, 27049, 6493, 4578, 3291, 1184, 1322, 18835, 18284, 1021, 2565, 2123, 12920, 17942, 1018, 18284, 6493, 3812, 1500, 1154, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1675, 0, 3757, 3812, 1500, 3716, 1096, 1044, 1187, 12527, 15825, 9240, 1009, 15451, 1048, 13136, 1054, 1664, 1132, 4533, 1511, 1006, 4575, 2947, 28281, 4441, 16415, 15349, 1060, 15451, 9189, 1046, 4320, 6476, 1072, 15786, 1060, 14650, 1048, 3711, 1693, 20957, 1030, 1500, 23024, 1365, 1124, 2688, 1826, 1006, 6841, 1060, 6690, 23160, 6146, 6937, 1187, 6299, 1009, 13040, 1072, 26799, 1210, 14800, 4465, 1060, 8692, 8268, 18553, 7092, 1298, 4480, 1233, 5065, 1512, 8007, 1112, 1890, 1044, 8679, 9757, 1349, 10598, 15442, 4001, 3121, 1679, 1198, 2402, 1229, 4534, 4578, 5574, 1124, 3145, 11855, 1009, 1030, 1500, 5484, 21879, 1026, 2859, 32, 30950, 1122, 1040, 1005, 1030, 1500, 1154, 6153, 1461, 1161, 1049, 10225, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1213, 5211, 1060, 1675, 0, 3757, 22327, 4635, 4852, 1009, 15451, 1048, 2220, 1784, 1566, 3708, 1054, 4533, 20, 1063, 28281, 1298, 28261, 1495, 1511, 5662, 4678, 1009, 4132, 20, 2343, 15686, 6828, 1693, 5587, 1094, 18019, 1169, 2099, 1266, 2299, 6153, 1461, 1161, 31500, 1907, 1009, 10225, 1318, 1327, 2229, 1916, 1063, 28281, 1298, 1848, 1060, 1155, 21979, 1233, 16613, 1206, 1060, 18923, 1034, 1006, 10320, 1121, 1009, 14983, 19, 7435, 1017, 1043, 1783, 10947, 1009, 1094, 3907, 1068, 29565, 6126, 4278, 1009, 17476, 24087, 1048, 1495, 21787, 1049, 7176, 2120, 3982, 1054, 25267, 1708, 1009, 12979, 1112, 3590, 1017, 1009, 4953, 1940, 1013, 1022, 1272, 32, 2574, 3707, 11492, 13879, 32, 1213, 5211, 1060, 1799, 0, 3757, 12448, 1133, 2765, 16415, 1081, 2565, 10796, 1303, 1187, 22841, 22131, 1010, 1005, 6476, 1049, 6975, 22131, 85, 22723, 5174, 1046, 1118, 1048, 2350, 17476, 24087, 2643, 5959, 1009, 4953, 1890, 1006, 17443, 7863, 1138, 12511, 1005, 1026, 29422, 1370, 1318, 3573, 4830, 1063, 5959, 1009, 4953, 1096, 1044, 4635, 4852, 1048, 15402, 18521, 1566, 1463, 6316, 7082, 1009, 15451, 4578, 5470, 1322, 9926, 6267, 6464, 32, 3275, 94, 6267, 6464, 1479, 19882, 1104, 1273, 4611, 1093, 1016, 1005, 30767, 2904, 2641, 1337, 3441, 1453, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1118, 2922, 1060, 1799, 0, 3757, 1704, 16522, 1009, 5186, 1337, 3441, 1453, 1206, 5177, 2484, 1049, 1235, 5186, 1337, 29032, 1327, 9240, 25100, 1114, 15451, 20, 12842, 1451, 4424, 1026, 5186, 1337, 14061, 1184, 18094, 1072, 2277, 16333, 1009, 15451, 18, 1309, 2350, 17443, 1347, 2204, 1046, 1026, 5186, 1337, 2271, 1026, 8368, 7550, 1096, 1026, 5186, 1337, 8937, 1060, 15451, 9878, 5186, 1337, 3441, 1453, 3888, 1096, 3925, 5408, 1356, 1090, 5555, 7400, 1005, 1298, 1261, 1235, 7423, 28718, 1054, 12059, 1294, 2688, 1837, 1712, 3925, 2176, 16415, 1081, 1672, 1159, 1294, 4278, 1009, 15451, 3915, 5661, 1989, 5186, 1337, 1096, 5580, 1213, 5186, 1337, 10313, 9767, 1221, 1048, 2350, 3680, 2643, 18, 1847, 17817, 1100, 24772, 85, 1206, 21551, 1005, 1305, 1026, 2405, 4578, 1184, 2266, 1322, 1026, 5186, 1337, 1114, 15451, 18, 2123, 12920, 16414, 1337, 3441, 1453, 1114, 28281, 4578, 2266, 10582, 1322, 5186, 1337, 3441, 1453, 32, 1128, 12801, 1009, 16414, 1337, 1205, 1165, 1453, 32, 24373, 18188, 4404, 1100, 1570, 2431, 18, 4534, 1533, 73, 1692, 1940, 1013, 1022, 1272, 32, 2574, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1782, 0, 3757, 12448, 1133, 2765, 16415, 1081, 1102, 1693, 1663, 1043, 1048, 2350, 17476, 24087, 2368, 1046, 1251, 1692, 1206, 2203, 1040, 18672, 1303, 1060, 1251, 1692, 1048, 1566, 29864, 1996, 4908, 6812, 28366, 1251, 1692, 1325, 1493, 13742, 1006, 1169, 1390, 1473, 1010, 1187, 16415, 15349, 18844, 1048, 9189, 1046, 4465, 1060, 1026, 12828, 1149, 1060, 24156, 1063, 1251, 1692, 1114, 15451, 1298, 1178, 7743, 1206, 11166, 1005, 18521, 1054, 2073, 2803, 1060, 17443, 1055, 4578, 3291, 1184, 1322, 1011, 1753, 1010, 1005, 1249, 2447, 21879, 1026, 4941, 32, 2358, 1692, 1479, 1062, 1753, 1010, 1005, 1249, 2447, 7297, 2481, 3291, 1058, 3074, 28281, 2328, 1187, 9240, 14396, 9878, 12483, 1009, 15451, 2328, 1187, 9240, 1516, 3330, 5896, 3240, 1511, 1160 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8433, 1273, 1006, 17443, 1148, 1318, 1298, 14632, 1044, 4465, 1114, 2935, 1963, 5160, 3806, 1009, 31538, 1230, 1876, 1206, 1015, 1230, 1618, 1034, 1533, 4465, 1060, 1963, 1070, 1112, 1298, 10505, 1118, 6640, 16415, 31692, 1206, 1118, 14968, 1060, 1009, 17340, 1088, 1346, 1060, 1963, 1525, 3121, 1679, 1198, 2402, 1010, 3915, 2739, 17476, 92, 5006, 1989, 4635, 4852, 1058, 8491, 1592, 1846, 1049, 2822, 1187, 1198, 2402, 1229, 9274, 12617, 1130, 1495, 1026, 1852, 1060, 15451, 2904, 3744, 1192, 1112, 18284, 1453, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 4215, 1114, 1487, 0, 1006, 1675, 0, 3757, 1704, 4465, 1060, 2935, 1049, 16415, 3809, 20657, 7293, 2801, 1114, 15451, 1381, 1043, 1048, 2088, 9134, 1005, 15975, 1049, 2823, 25847, 1184, 2373, 76, 1792, 14034, 626, 1206, 2373, 28749, 94, 1166, 8226, 3782, 2755, 1009, 1871, 1006, 10830, 1006, 1807, 9330, 1009, 7423, 1049, 1552, 25024, 1048, 1325, 1118, 3505, 13906, 3530, 9134, 1826, 1132, 18284, 13148, 2464, 1118, 5658, 1656, 6937, 1009, 1224, 4008, 1009, 1717, 4492, 2643, 1184, 9120, 1009, 3647, 1026, 12513, 18284, 1453, 22309, 14802, 1054, 6862, 1009, 1050, 10101, 4578, 3291, 1184, 1322, 1006, 6862, 1009, 26341, 3694, 2123, 12920, 8531, 1192, 1112, 18284, 1453, 6383, 1024, 8257, 1098, 1358, 1140, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1118, 2922, 1060, 1487, 0, 1006, 1675, 0, 3757, 10599, 18608, 1589, 1495, 1006, 3757, 12824, 1048, 2258, 1034, 10602, 30997, 30864, 2201, 3579, 1126, 1005, 8318, 1009, 11600, 1006, 30997, 1566, 1160, 22138, 1184, 1054, 2922, 1060, 25194, 19639, 1298, 10505, 16037, 1592, 1511, 1026, 1033, 2526, 1620, 1096, 1493, 4674, 1068, 16934, 1026, 1552, 1363, 1100, 2350, 3680, 9977, 1044, 4918, 31643, 1370, 1114, 2413, 27049, 1453, 1048, 2755, 1159, 11992, 1049, 2823, 1068, 16737, 1026, 4758, 2015, 1014, 1468, 17839, 31643, 1370, 1096, 2143, 4635, 4852, 1048, 1298, 1178, 14378, 1188, 1043, 1132, 9240, 4283, 3752, 1051, 5060, 1102, 4578, 5574, 1124, 3145, 11855, 1009, 31643, 1370, 1114, 2696, 1602, 1126, 21879, 1026, 4941, 32, 4611, 1093, 1016, 1009, 25194, 1098, 1358, 1140, 2904, 1056, 1352, 1370, 1005, 11808, 30079, 1940, 1013, 1022, 1272, 32, 1493, 3707, 11492, 13879, 32, 1487, 0, 1006, 1675, 0, 3757, 9346, 5223, 1009, 29422, 1370, 1169, 2099, 1266, 2299, 1726, 1569, 3638, 21363, 1096, 1044, 4635, 4852, 1009, 15451, 1493, 26719, 1603, 1299, 1566, 1225, 1094, 11309, 11712, 2636, 1890, 1026, 4604, 1687, 1298, 18833, 22707, 1525, 1072, 2738, 1060, 17443, 1055, 1533, 19692, 1049, 11808, 1318, 1096, 1493, 26719, 1138, 1235, 2823, 4145, 7880, 1009, 1048, 3135, 23886, 1043, 1184, 8692, 20, 3713, 1298, 5184, 1006, 11146, 1848, 1068, 1006, 14143, 1184, 12606, 1005, 1261, 1184, 9120, 1049, 1048, 1026, 29032, 1068, 7266, 1024, 1357, 5096, 20, 5845, 1026, 4604, 1094, 3593, 2776, 6464, 3449, 1178, 2289, 1026, 1048, 1299, 1184, 5902, 5653, 1048, 1124, 17476, 24087, 21660, 3360, 11808, 1005, 29422, 1370, 9878, 29422, 1370, 1005, 1026, 11808, 1114, 15451, 13876, 1118, 6476, 16415, 1081, 2565, 3587, 1060, 20657, 7293, 11875, 1048, 26112, 5232, 1072, 2380, 23987, 5046, 1005, 1294, 5061, 8268, 17560, 1005, 29763, 20449, 1704, 29422, 1370, 1096, 1044, 4635, 4852, 1049, 2738, 1060, 15451, 1048, 13724, 1532, 24278, 1072, 2277, 16333, 20, 1776, 2268, 1264, 8089, 1072, 1852, 1060, 15451, 18, 1511, 1026, 10425, 1566, 1058, 3250, 1807, 1005, 16084, 4578, 3291, 1184, 1322, 1026, 29422, 1370, 1005, 1026, 12995, 1009, 11808, 1114, 15451, 18, 2123, 12920, 3217, 1352, 1370, 1005, 11808, 1114, 15451, 3021, 1031, 1055, 23195, 1940, 1013, 1022, 1272, 32, 1493, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1487, 0, 1206, 1675, 0, 3757, 15342, 2916, 1009, 4234, 7082, 1009, 15451, 18, 1006, 28281, 5090, 1006, 4877, 6411, 1009, 3764, 3256, 1043, 1712, 8692, 20, 14327, 8203, 1213, 16581, 1693, 2755, 5793, 19045, 1890, 1006, 15328, 2166, 18140, 24473, 1026, 11808, 1060, 17443, 1148, 5653, 1048, 1006, 28281, 3764, 1342, 1043, 8692, 37, 25999, 6316, 18070, 1026, 4465, 1060, 3764, 1342, 2755, 1118, 6937, 1060, 4008, 1060, 1080, 1774, 2327, 1058, 1116, 27453, 1787, 3698, 3240, 3121, 1213, 10796, 1303, 9189, 1069, 2309, 16415, 15349, 1060, 15451, 20, 1776, 1852, 1060, 15451, 18, 1026, 1033, 2526, 1493, 1807, 13291, 75, 1006, 1080, 1774, 20692, 19053, 1224, 4008, 1009, 10197, 1005, 3748, 1043, 1048, 6941, 16439, 1566, 13230, 1019, 1089, 1040, 6411, 1009, 3764, 3256, 1704, 4465, 1060, 8692, 3764, 8162, 1096, 1044, 4635, 4852, 1009, 15451, 1048, 13879, 10126, 73, 2160, 18, 2755, 1054, 8989, 8934, 1271, 17476, 24087, 1005, 2464, 29910, 4217, 1495, 1026, 1852, 1060, 17443, 1055, 7297, 2512, 14632, 1048, 1058, 1026, 4465, 1114, 8692, 3764, 8162, 1050, 3448, 20891, 1009, 3764, 1342, 1184, 16463, 8826, 20920, 1272, 1068, 3764, 1021, 1930, 1094, 16072, 3764, 8162, 1298, 1178, 1006, 3865, 4578, 5470, 1322, 1006, 16072, 3764, 8162, 1114, 15451, 18, 21879, 32, 5296, 7078, 3764, 8162, 1114, 15451, 3590, 4201, 5282, 23691, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1675, 0, 3757, 1704, 7928, 1118, 11465, 1043, 1580, 1463, 6316, 7082, 1009, 17443, 1055, 1096, 1044, 1187, 9240, 1184, 1373, 2628, 1438, 1060, 15451, 20, 10497, 19611, 23956, 1693, 1495, 1663, 3680, 30080, 10581, 1786, 7142, 6411, 1009, 14308, 1172, 1258, 23453, 22647, 3590, 85, 1592, 3756, 1048, 7960, 7142, 3530, 4626, 1229, 1124, 17476, 24087, 1318, 1693, 5924, 1801, 1248, 1121, 1006, 11465, 1043, 1580, 8826, 1413, 12111, 1063, 4033, 9868, 12363, 1048, 1299, 26909, 27926, 1890, 1006, 17443, 2762, 7907, 6256, 1028, 150, 8433, 1016, 1998, 1009, 4125, 1357, 4361, 5653, 1048, 1124, 17476, 24087, 21660, 19611, 37, 8422, 12950, 7215, 1026, 20874, 1187, 19611, 23691, 1060, 15451, 20, 8991, 5136, 1857, 19942, 1929, 1402, 1726, 6476, 31749, 1005, 1679, 2395, 1361, 1187, 16415, 1550, 4261, 3587, 1060, 20657, 7293, 2801, 1005, 1049, 1172, 41, 45, 5653, 1048, 2350, 17476, 24087, 2643, 6411, 1009, 14308, 3469, 3347, 12223, 1159, 20864, 1078, 1100, 11953, 1206, 3548, 9878, 7928, 1009, 14308, 15623, 1048, 1160, 1327, 9943, 6648, 1096, 3509, 1009, 11397, 1046, 1029, 8010, 1206, 1008, 3336, 3735, 3530, 19611, 23956, 19942, 1114, 15451, 18, 1616, 1298, 1178, 1044, 6550, 1009, 10673, 1009, 5335, 2440, 1088, 1092, 4837, 1159, 30364, 2752, 17304, 1206, 3835, 7400, 12448, 1133, 2765, 1049, 1881, 31998, 1005, 1049, 2022, 26652, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1213, 5211, 1060, 1675, 0, 3757, 8245, 1009, 1261, 19611, 1005, 1801, 1248, 1121, 15174, 2106, 1006, 5042, 1009, 1881, 31998, 1096, 2143, 4635, 4852, 1493, 3707, 1009, 15451, 3590, 1097, 1018, 1693, 1178, 4531, 19471, 79, 3628, 2603, 1400, 1026, 7483, 1048, 1299, 26909, 5103, 1006, 1261, 1044, 10278, 1116, 1995, 1177, 1005, 1890, 1026, 1531, 1299, 1298, 4877, 1044, 7482, 1009, 8948, 1114, 11719, 1305, 7065, 19131, 1533, 16016, 1006, 1026, 2650, 8068, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1118, 2922, 1060, 1675, 0, 3757, 25660, 1159, 2088, 6648, 24514, 1198, 2402, 1010, 1463, 6316, 7082, 1009, 15451, 18, 1026, 2650, 5177, 1229, 1592, 1048, 5215, 9490, 1159, 1132, 1009, 6056, 17965, 1206, 1043, 5006, 1693, 1663, 1299, 1058, 4877, 1198, 2402, 3567, 1138, 2650, 31488, 1206, 1493, 25928, 1159, 25141, 1009, 22678, 2586, 7763, 1078, 3097, 10734, 1066, 9087, 3195, 1009, 6777, 7253, 31898, 24514, 1026, 1592, 5654, 8530, 4635, 4852, 3707, 1009, 15451, 1096, 1094, 1712, 18139, 1049, 2022, 76, 20743, 1063, 17443, 1148, 4768, 1006, 5223, 1009, 1261, 8744, 1044, 2201, 2022, 76, 20743, 1138, 2650, 1048, 1475, 2241, 8589, 1619, 1402, 1206, 1160, 20079, 18749, 2364, 1058, 13243, 15442, 1520, 2445, 1833, 6312, 3263, 23195, 1009, 18835, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 4116, 5211, 1060, 1675, 0, 3757, 12448, 6897, 3680, 7085, 1046, 1044, 4465, 1187, 18835, 18284, 6493, 1463, 6316, 7082, 1009, 15451, 20, 6062, 1298, 1178, 1044, 4635, 4852, 27941, 1872, 85, 1294, 4278, 1054, 1048, 1006, 17443, 1148, 3135, 3659, 3229, 18932, 2453, 1009, 1044, 7658, 1206, 5309, 1043, 2089, 1783, 1059, 8197, 1327, 1132, 9240, 1009, 18835, 1114, 15451, 9878, 12995, 1009, 18835, 1114, 17443, 1055, 1058, 6744, 13724, 1532, 1159, 1044, 4465, 1060, 4716, 1009, 11033, 2495, 1005, 1009, 27894, 3454, 2746, 6266, 1036, 1349, 5223, 1009, 1345, 74, 2214, 1051, 1928, 1444, 2647, 5223, 1009, 18835, 24357, 1371, 1294, 18284, 2972, 1005, 1011, 23462, 27049, 6493, 4578, 3291, 1184, 1322, 18835, 18284, 1021, 2565, 2123, 12920, 17942, 1018, 18284, 6493, 3812, 1500, 1154, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1675, 0, 3757, 3812, 1500, 3716, 1096, 1044, 1187, 12527, 15825, 9240, 1009, 15451, 1048, 13136, 1054, 1664, 1132, 4533, 1511, 1006, 4575, 2947, 28281, 4441, 16415, 15349, 1060, 15451, 9189, 1046, 4320, 6476, 1072, 15786, 1060, 14650, 1048, 3711, 1693, 20957, 1030, 1500, 23024, 1365, 1124, 2688, 1826, 1006, 6841, 1060, 6690, 23160, 6146, 6937, 1187, 6299, 1009, 13040, 1072, 26799, 1210, 14800, 4465, 1060, 8692, 8268, 18553, 7092, 1298, 4480, 1233, 5065, 1512, 8007, 1112, 1890, 1044, 8679, 9757, 1349, 10598, 15442, 4001, 3121, 1679, 1198, 2402, 1229, 4534, 4578, 5574, 1124, 3145, 11855, 1009, 1030, 1500, 5484, 21879, 1026, 2859, 32, 30950, 1122, 1040, 1005, 1030, 1500, 1154, 6153, 1461, 1161, 1049, 10225, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1213, 5211, 1060, 1675, 0, 3757, 22327, 4635, 4852, 1009, 15451, 1048, 2220, 1784, 1566, 3708, 1054, 4533, 20, 1063, 28281, 1298, 28261, 1495, 1511, 5662, 4678, 1009, 4132, 20, 2343, 15686, 6828, 1693, 5587, 1094, 18019, 1169, 2099, 1266, 2299, 6153, 1461, 1161, 31500, 1907, 1009, 10225, 1318, 1327, 2229, 1916, 1063, 28281, 1298, 1848, 1060, 1155, 21979, 1233, 16613, 1206, 1060, 18923, 1034, 1006, 10320, 1121, 1009, 14983, 19, 7435, 1017, 1043, 1783, 10947, 1009, 1094, 3907, 1068, 29565, 6126, 4278, 1009, 17476, 24087, 1048, 1495, 21787, 1049, 7176, 2120, 3982, 1054, 25267, 1708, 1009, 12979, 1112, 3590, 1017, 1009, 4953, 1940, 1013, 1022, 1272, 32, 2574, 3707, 11492, 13879, 32, 1213, 5211, 1060, 1799, 0, 3757, 12448, 1133, 2765, 16415, 1081, 2565, 10796, 1303, 1187, 22841, 22131, 1010, 1005, 6476, 1049, 6975, 22131, 85, 22723, 5174, 1046, 1118, 1048, 2350, 17476, 24087, 2643, 5959, 1009, 4953, 1890, 1006, 17443, 7863, 1138, 12511, 1005, 1026, 29422, 1370, 1318, 3573, 4830, 1063, 5959, 1009, 4953, 1096, 1044, 4635, 4852, 1048, 15402, 18521, 1566, 1463, 6316, 7082, 1009, 15451, 4578, 5470, 1322, 9926, 6267, 6464, 32, 3275, 94, 6267, 6464, 1479, 19882, 1104, 1273, 4611, 1093, 1016, 1005, 30767, 2904, 2641, 1337, 3441, 1453, 1940, 1013, 1022, 1272, 32, 3707, 11492, 13879, 32, 1118, 2922, 1060, 1799, 0, 3757, 1704, 16522, 1009, 5186, 1337, 3441, 1453, 1206, 5177, 2484, 1049, 1235, 5186, 1337, 29032, 1327, 9240, 25100, 1114, 15451, 20, 12842, 1451, 4424, 1026, 5186, 1337, 14061, 1184, 18094, 1072, 2277, 16333, 1009, 15451, 18, 1309, 2350, 17443, 1347, 2204, 1046, 1026, 5186, 1337, 2271, 1026, 8368, 7550, 1096, 1026, 5186, 1337, 8937, 1060, 15451, 9878, 5186, 1337, 3441, 1453, 3888, 1096, 3925, 5408, 1356, 1090, 5555, 7400, 1005, 1298, 1261, 1235, 7423, 28718, 1054, 12059, 1294, 2688, 1837, 1712, 3925, 2176, 16415, 1081, 1672, 1159, 1294, 4278, 1009, 15451, 3915, 5661, 1989, 5186, 1337, 1096, 5580, 1213, 5186, 1337, 10313, 9767, 1221, 1048, 2350, 3680, 2643, 18, 1847, 17817, 1100, 24772, 85, 1206, 21551, 1005, 1305, 1026, 2405, 4578, 1184, 2266, 1322, 1026, 5186, 1337, 1114, 15451, 18, 2123, 12920, 16414, 1337, 3441, 1453, 1114, 28281, 4578, 2266, 10582, 1322, 5186, 1337, 3441, 1453, 32, 1128, 12801, 1009, 16414, 1337, 1205, 1165, 1453, 32, 24373, 18188, 4404, 1100, 1570, 2431, 18, 4534, 1533, 73, 1692, 1940, 1013, 1022, 1272, 32, 2574, 3707, 11492, 13879, 32, 1006, 2323, 1060, 1782, 0, 3757, 12448, 1133, 2765, 16415, 1081, 1102, 1693, 1663, 1043, 1048, 2350, 17476, 24087, 2368, 1046, 1251, 1692, 1206, 2203, 1040, 18672, 1303, 1060, 1251, 1692, 1048, 1566, 29864, 1996, 4908, 6812, 28366, 1251, 1692, 1325, 1493, 13742, 1006, 1169, 1390, 1473, 1010, 1187, 16415, 15349, 18844, 1048, 9189, 1046, 4465, 1060, 1026, 12828, 1149, 1060, 24156, 1063, 1251, 1692, 1114, 15451, 1298, 1178, 7743, 1206, 11166, 1005, 18521, 1054, 2073, 2803, 1060, 17443, 1055, 4578, 3291, 1184, 1322, 1011, 1753, 1010, 1005, 1249, 2447, 21879, 1026, 4941, 32, 2358, 1692, 1479, 1062, 1753, 1010, 1005, 1249, 2447, 7297, 2481, 3291, 1058, 3074, 28281, 2328, 1187, 9240, 14396, 9878, 12483, 1009, 15451, 2328, 1187, 9240, 1516, 3330, 5896, 3240, 1511, 1160 ]

[ 3381, 26558, 1054, 4984, 1009, 3353, 1009, 21880, 2041, 28142, 1222, 1213, 15217, 1235, 12829, 4808, 3236, 19467, 15584, 3236, 1009, 11369, 1005, 6088, 1100, 1026, 4409, 25710, 1009, 13285, 1390, 18, 1048, 13350, 1159, 7778, 1009, 2956, 1049, 1587, 4693, 2257, 1026, 80, 1014, 5604, 1213, 4011, 1005, 1233, 7350, 1060, 29644, 1009, 10601, 26869, 1026, 1048, 4715, 1163, 1093, 28875, 20689, 1213, 1132, 4822, 16548, 1114, 7245, 3116, 14369, 9340, 4682, 2277, 21745, 1062, 13818, 1027, 3210, 2443, 2468, 85, 11284, 6906, 9216, 6877, 22241, 6768, 17161, 1048, 10039, 1009, 1163, 1093, 28875, 2199, 3205, 1118, 1044, 4248, 1132, 5278, 1060, 23968, 1049, 16426, 1009, 23736, 2493, 3259, 1072, 1852, 1049, 13121, 1009, 4808, 3381, 1205, 6843, 4887, 1164, 1049, 25710, 1009, 13285, 1390, 20, 8991, 5136, 8229, 1072, 19140, 1006, 2823, 8447, 1009, 13285, 1390, 1060, 13460, 1009, 21899, 1049, 2915, 1041, 9308, 24415, 15647, 20, 8917, 4463, 1322, 29194, 10422, 1049, 24212, 18860, 4441, 4679, 1646, 1009, 1834, 1009, 10039, 1009, 1163, 1093, 28875, 1596, 11800, 3150, 1505, 24044, 4399, 5247, 5174, 1312, 1118, 21745, 1062, 13818, 1027, 3210, 2443, 2468, 85, 11284, 6906, 1422, 1442, 8741, 5784, 1349, 1163, 1093, 28875, 4082, 3022, 1054, 6734, 2864, 2252, 1124, 1569, 1510, 2223, 3423, 2668, 1054, 21880, 2084, 7035, 1224, 2573, 1054, 1044, 9593, 4475, 5153, 2350, 1143, 5600, 1365, 1124, 2688, 1983, 2253, 10586, 24373, 10039, 1009, 1163, 1093, 28875, 4834, 8630, 1224, 7391, 1005, 1456, 1791, 5089, 2443, 1309, 21745, 1062, 13818, 1027, 5649, 1048, 1224, 7391, 1005, 1356, 2444, 1044, 1187, 13102, 6183, 3243, 1100, 7135, 1975, 1213, 9381, 1005, 1213, 3372, 29, 1533, 31778, 1013, 1009, 1163, 1093, 28875, 14519, 18, 1679, 18017, 2864, 1054, 2595, 1206, 4984, 1009, 3049, 1009, 21880, 2308, 1776, 1531, 1799, 1009, 2992, 1009, 21880, 2471, 1026, 22524, 1060, 4590, 1054, 9100, 11742, 1009, 6425, 1358, 1803, 3671, 1079, 1026, 2511, 1006, 7083, 32, 5452, 75, 3032, 1050, 1793, 1009, 1033, 15153, 24758, 1200, 1133, 31737, 158, 1007, 5352, 1004, 3297, 4062, 2336, 1692, 1009, 7536, 1009, 1924, 96, 9332, 1039, 79, 1025, 1079, 1892, 3697, 1662, 14270, 2595, 2937, 1353, 3694, 27661, 13940, 1173, 23668, 1009, 1086, 1079, 1133, 6029, 1012, 158, 1802, 1062, 624, 158, 1076, 1041, 1903, 1088, 19, 159, 21148, 1064, 624, 28054, 1285, 1761, 3769, 5785, 3645, 1039, 79, 1006, 1589, 1041, 2123, 1536, 1093, 1009, 8660, 1434, 2855, 30, 3528, 3403, 1009, 21880, 2443, 4644, 21428, 1009, 26189, 5444, 1026, 2511, 1322, 10039, 1009, 1163, 1093, 83, 17610, 14232, 17405, 4008, 3019, 2792, 1516, 7167, 18018, 33, 1006, 1224, 9524, 1560, 71, 7898, 18, 1005, 1745, 5068, 1006, 1184, 28440, 33, 1054, 2289, 1026, 1712, 14921, 1049, 2930, 24415, 1054, 9613, 2950, 1195, 26985, 1233, 4862, 8196, 1411, 19817, 1124, 4029, 8272, 1043, 1132, 1456, 5364, 1005, 1043, 1006, 1224, 1176, 1302, 1272, 33, 1195, 1765, 10146, 1629, 1114, 26143, 32, 26930, 2464, 3027, 21994, 1352, 29295, 6229, 11622, 3694, 1160, 9454, 2220, 1026, 1235, 2538, 13736, 1006, 6746, 1049, 5496, 1271, 1569, 8339, 7823, 626, 31, 1605, 16426, 1009, 23736, 1009, 2128, 2704, 1605, 3563, 5421, 11940, 1068, 1044, 16409, 1009, 15951, 9096, 1043, 1006, 12447, 1009, 6318, 11734, 1213, 15217, 26217, 1054, 29093, 3006, 6458, 1005, 23736, 2493, 79, 6802, 3043, 15379, 12633, 5616, 1356, 4894, 26675, 1060, 5827, 7098, 1400, 28212, 1009, 5745, 2360, 1060, 1062, 1512, 2469, 3068, 3808, 8363, 6062, 8679, 13494, 1072, 12196, 17796, 1054, 2523, 1009, 2992, 1009, 21880, 2041, 15854, 31612, 1485, 1069, 1009, 8429, 3544, 1271, 1535, 1022, 1573, 1365, 1132, 1493, 29797, 1005, 6218, 2989, 1010, 1067, 1771, 1074, 4808, 3381, 26558, 8537, 1009, 8258, 1005, 4808, 6318, 1205, 5529, 8537, 1009, 4573, 4324, 1184, 3201, 1159, 16426, 1009, 23736, 24894, 1026, 16426, 1009, 24896, 1006, 7858, 1365, 1124, 28633, 1009, 3032, 1005, 4573, 1463, 1317, 25849, 1516, 11148, 1356, 16130, 26737, 1049, 16426, 1009, 1128, 27797, 4851, 19829, 22, 1064, 158, 7667, 1006, 8223, 1271, 11723, 1009, 11446, 9953, 1349, 3702, 1006, 2618, 2598, 3241, 2281, 11148, 1009, 1871, 5197, 8659, 1424, 1026, 16426, 1009, 24896, 1006, 7858, 4848, 2607, 1371, 1068, 25279, 23257, 1026, 2568, 1009, 12015, 21060, 29322, 1138, 10833, 2068, 2923, 1072, 2015, 79, 1510, 1038, 1095, 1020, 12430, 9383, 25629, 1049, 3282, 5128, 1100, 15335, 1072, 3282, 17072, 2277, 1026, 1428, 1026, 5449, 6105, 4393, 1014, 1213, 1908, 1048, 15674, 1026, 3842, 1377, 6062, 1244, 30205, 1195, 12678, 1114, 6517, 1187, 12864, 1365, 3032, 1005, 4573, 1072, 16426, 1009, 26297, 1620, 1048, 1026, 5497, 1160, 2374, 5431, 1278, 6715, 1072, 15599, 3579, 8882, 1094, 2360, 2618, 1009, 7858, 7297, 8989, 1376, 1219, 2006, 1261, 2281, 10039, 1009, 1163, 1093, 28875, 1026, 5620, 16113, 1060, 3621, 22640, 1159, 1173, 1223, 1046, 1132, 12732, 1009, 1080, 19069, 10456, 5783, 2271, 1356, 2444, 4644, 2345, 18739, 1009, 1205, 5725, 1107, 8681, 9108, 3487, 2541, 4969, 30, 1565, 3126, 1026, 11898, 1291, 1026, 19533, 1009, 1094, 2696, 77, 1856, 7933, 9553, 17673, 1121, 1009, 12864, 1114, 28923, 1571, 3032, 1808, 1461, 1009, 13743, 1459, 1024, 3905, 1048, 3004, 25039, 1054, 5449, 1271, 11337, 14102, 8466, 3432, 3589, 1118, 1224, 5326, 3032, 1345, 2412, 1461, 1060, 12259, 19, 1296, 1133, 1060, 29644, 1009, 10601, 26869, 1072, 4438, 2528, 13643, 1054, 1745, 14697, 1132, 19801, 1073, 20132, 1271, 1082, 5541, 1005, 1006, 2236, 3004, 1072, 5449, 22419, 6853, 1005, 1049, 28224, 5960, 4011, 1533, 31778, 1013, 1009, 1163, 1093, 28875, 12491, 18, 1009, 6458, 1006, 24896, 1054, 2224, 1009, 3042, 1009, 29093, 2414, 1026, 26531, 82, 1577, 1049, 16426, 4324, 1048, 1195, 1289, 2647, 1043, 10486, 1499, 2372, 4650, 1072, 3435, 1271, 12388, 1048, 11519, 1233, 8300, 1049, 16426, 1009, 23736, 1704, 21889, 1009, 10039, 1009, 1163, 1093, 28875, 1195, 19791, 1054, 16376, 1187, 16992, 1060, 1429, 1164, 2847, 1060, 4180, 2170, 1054, 15958, 1356, 1235, 2490, 3960, 4577, 1463, 12388, 10374, 4275, 20, 7731, 1026, 2738, 1049, 3009, 26970, 1043, 1026, 8996, 1049, 4606, 13192, 1005, 3525, 13192, 5976, 1924, 6538, 3645, 5196, 1020, 1108, 14256, 5515, 15084, 3876, 1349, 2793, 20847, 1048, 3032, 4720, 1052, 15316, 1006, 2618, 1009, 1128, 27797, 23171, 1026, 1048, 2283, 7594, 1044, 1057, 1024, 1368, 2402, 21060, 1043, 1006, 27497, 5011, 1244, 4710, 1006, 4716, 1009, 1853, 5574, 1026, 5449, 1068, 2593, 1054, 1853, 3621, 1463, 18821, 20288, 4650, 4808, 3381, 1205, 26371, 1005, 12491, 1213, 1561, 1132, 3525, 22337, 1005, 1200, 1478, 1054, 11848, 21330, 15055, 14256, 5205, 15084, 6507, 15, 1005, 4660, 1051, 1221, 3619, 31877, 2149, 6795, 26, 15084, 4994, 1349, 16172, 1074, 22238, 26353, 1273, 1043, 1026, 3489, 1009, 14749, 3890, 1026, 5109, 1187, 22943, 3842, 1348, 1118, 3116, 27529, 6062, 1005, 1734, 9191, 2136, 1412, 1114, 1651, 1087, 2762, 1054, 29093, 2534, 1049, 15854, 23351, 4382, 1187, 1651, 2914, 1049, 22197, 1043, 1124, 7450, 1060, 25913, 1060, 4573, 1114, 3836, 9487, 1038, 1341, 4324, 1184, 3201, 1159, 22822, 1271, 21624, 1400, 1048, 1195, 9966, 1118, 10039, 1009, 1163, 1093, 28875, 1006, 24896, 18984, 1009, 2068, 1068, 1124, 3043, 3795, 9107, 2170, 19871, 1068, 1026, 2568, 1009, 2263, 3465, 1112, 3021, 4382, 1009, 1924, 6538, 3645, 5196, 1020, 11777, 2128, 19694, 25975, 2317, 3498, 1053, 6217, 1009, 5614, 29, 1009, 6759, 4717, 1051, 1283, 26209, 18, 24955, 3694, 1082, 10282, 5321, 1114, 5569, 1123, 1036, 14006, 26770, 3021, 4382, 1187, 1651, 2914, 1049, 22197, 1043, 1124, 7450, 1060, 25913, 1060, 4573, 1114, 3836, 9487, 1038, 1341, 20, 29093, 3537, 11972, 31715, 4634, 3201, 1159, 22822, 1271, 21624, 1400, 1195, 3330, 1054, 9100, 1288, 1006, 4188, 1009, 10039, 1009, 1163, 1093, 83, 1627, 1072, 4025, 1271, 12388, 1049, 16426, 1009, 23736, 3590, 3247, 8303, 1040, 10188, 1006, 19413, 1132, 3145, 8255, 1049, 16426, 1009, 23736, 1009, 2128, 2704, 17169, 1831, 2859, 1049, 16426, 1009, 23736, 17924, 1379, 1132, 17285, 7767, 1009, 12189, 1400, 7008, 1026, 1009, 1128, 27797, 23171, 1009, 31481, 2471, 6718, 1006, 1178, 1026, 3872, 29184, 1005, 8263, 1068, 1006, 6517, 1005, 8654, 1187, 1791, 22943, 1054, 2693, 1006, 3836, 1005, 1114, 11944, 1704, 2277, 2859, 1049, 12196, 6984, 1379, 1124, 11723, 20828, 1005, 1124, 23055, 1452, 14665, 1068, 1006, 15074, 7036, 1377, 7630, 1989, 26643, 1023, 1529, 2049, 1006, 8258, 1356, 16426, 1009, 1128, 27797, 23171, 1264, 1516, 20349, 1357, 4573, 2098, 1631, 1592, 9383, 1060, 8894, 22443, 1071, 20756, 1510, 1038, 1095, 1020, 1349, 1026, 2859, 6297, 5649, 1048, 2373, 1925, 2921, 1871, 4393, 7195, 1233, 25913, 1009, 3032, 2289, 1026, 1048, 1225, 20349, 1356, 4489, 1271, 31549, 1206, 15889, 12760, 1005, 1026, 9659, 1009, 9389, 1124, 12965, 3019, 4489, 1495, 1124, 1068, 4323, 18, 1048, 4331, 1058, 24945, 1027, 33, 1159, 1318, 2289, 1026, 1048, 1225, 20349, 1072, 4657, 1009, 9963, 19794, 2351, 1005, 3615, 1068, 1006, 1751, 1049, 6219, 3017, 1005, 3878, 1305, 17207, 1385, 1009, 2073, 17116, 3029, 1048, 4172, 8853, 1645, 1371, 1118, 1751, 1060, 25913, 1009, 13127, 1043, 1026, 7065, 1049, 1048, 1058, 22378, 1072, 15476, 16426, 1009, 1128, 27797, 4851, 626, 4441, 7896, 7802, 1006, 22674, 23808, 1040, 28450, 73, 4756, 1211, 7295, 1009, 7858, 7575, 14508, 19480, 30617, 1159, 4301, 1018, 1009, 13003, 1005, 2258, 1087, 2032, 1206, 13483, 1016, 1009, 2539, 6399, 1229, 1159, 1026, 8441, 1031, 3862, 18, 1026, 5371, 2586, 1026, 2929, 86, 9804, 18, 1026, 20850, 31079, 1026, 1972, 21800, 1026, 5566, 1189, 3022, 1026, 1924, 13802, 5280, 1026, 16706, 1017, 5280, 1026, 1180, 1179, 28003, 1026, 4621, 1189, 14901, 1138, 2859, 1842, 31624, 1048, 1124, 11723, 1187, 13244, 2309, 2688, 24864, 1006, 7858, 10865, 1294, 7896, 7767, 4393, 1014, 1027, 1213, 7276, 2373, 71, 1048, 18295, 1184, 10947, 1054, 1557, 19091, 8226, 2494, 5809, 11038, 1026, 2859, 15647, 1318, 16280, 1006, 7858, 2309, 2373, 73, 17965, 1060, 16041, 30298, 626, 1365, 1124, 9587, 1242, 16176, 12867, 1049, 16101, 1005, 1049, 2591, 1468, 1066, 32, 2373, 5505, 26398, 1027, 1233, 4573, 2252, 1124, 8821, 1452, 1048, 1703, 29408, 1068, 1026, 2591, 1468, 1066, 33, 1005, 1006, 3032, 2252, 1124, 1048, 1703, 29408, 1068, 1026, 4489, 1271, 16101, 8226, 1138, 2859, 26285, 5601, 79, 1132, 25195, 1480, 22565, 1118, 9389, 1124, 11710, 1016, 1068, 18899, 1024, 1132, 8654, 1054, 2693, 1006, 7858, 1006, 30009, 1124, 20385, 9012, 1068, 9164, 1044, 8996, 1009, 2693, 1006, 7858, 1704, 2859, 21077, 2373, 16671, 1068, 1927, 1233, 25913, 1009, 4573, 1006, 29644, 1009, 10601, 26869, 1005, 2220, 1026, 1235, 5449, 23055, 1091, 1006, 9475, 1114, 9130, 2279, 30297, 1341, 1049, 4489, 1060, 4438, 2528, 1495, 1132, 1651, 2914, 4047, 2502, 1072, 2859, 28488, 1005, 1124, 1962, 7198, 26890, 1005, 16539, 1048, 1058, 14046, 1040, 1114, 2921, 1068, 2051, 1655, 1013, 2938, 1213, 3633, 5449, 1049, 17275, 67, 33, 1159, 1318, 1006, 13031, 1049, 1592, 4489, 1060, 4438, 2528, 1006, 1428, 4393, 7195, 17262, 1233, 25913, 1060, 4573, 8226, 6062, 1195, 1026, 7044, 1184, 20792, 1221, 1049, 3043, 1599, 3027, 9413, 3838, 8797, 1054, 8258, 4807, 1187, 13935, 1048, 1058, 2111, 2241, 1060, 29644, 1049, 10601, 5457, 1068, 1006, 4884, 1049, 1717, 72, 1157, 1072, 4438, 7043, 1138, 4409, 25710, 1009, 13285, 1390, 15092, 1589, 3592, 8181, 1005, 1160, 2569, 4961, 1054, 11074, 1026, 12196, 1704, 2859, 19128, 18, 1118, 2143, 6079, 2373, 16671, 1068, 1927, 1233, 25913, 1009, 3032, 2289, 1026, 1048, 1118, 1751, 1009, 4573, 1058, 7596, 20349, 626, 1114, 2413, 4485, 1159, 19801, 1073, 20132, 1271, 1082, 5541, 28291, 1280, 2122, 17186, 1160, 4491, 1013, 1072, 12196, 1349, 1072, 8223, 1049, 3633, 2293, 3279, 1049, 13759, 1138, 2859, 14384, 11897, 1048, 1132, 16967, 1480, 24233, 1048, 3842, 2241, 1006, 2413, 14659, 1236, 12201, 5392, 2373, 1491, 1664, 1132, 9076, 1005, 1005, 1546, 7010, 7439, 6581, 1132, 20611, 1068, 1132, 30648, 1024, 1054, 2089, 7450, 1009, 4573, 8226, 6062, 7044, 17384, 3838, 8797, 1187, 16967, 1480, 24233, 2170, 27758, 1187, 20611, 2025, 3998, 2255, 3027, 6440, 3865, 1233, 3578, 22803, 5803, 1206, 3578, 1187, 19801, 1073, 20132, 2149, 5515, 25, 2541, 5515, 7224, 2830, 1704, 2859, 7745, 1050, 5922, 2220, 6545, 6224, 1124, 2156, 1114, 4650, 2373, 75, 2247, 2429, 6467, 5823, 4697, 3271, 4291, 4125, 1049, 5449, 1009, 1094, 13289, 1068, 1026, 1060, 2924, 1118, 12739, 3048, 1118, 10413, 3048, 16321, 1054, 2220, 1206, 1751, 1187, 13244, 1048, 1160, 11452, 3122, 4535, 1009, 1224, 1028, 2094, 1206, 28446, 1043, 5381, 2517, 1100, 3048, 7065, 1702, 18, 1305, 7386, 1831, 12186, 1049, 17553, 1206, 8676, 1049, 9659, 8226, 1766, 1624, 5005, 2106, 1058, 20217, 1402, 1072, 5449, 1155, 1208, 2037 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3381, 26558, 1054, 4984, 1009, 3353, 1009, 21880, 2041, 28142, 1222, 1213, 15217, 1235, 12829, 4808, 3236, 19467, 15584, 3236, 1009, 11369, 1005, 6088, 1100, 1026, 4409, 25710, 1009, 13285, 1390, 18, 1048, 13350, 1159, 7778, 1009, 2956, 1049, 1587, 4693, 2257, 1026, 80, 1014, 5604, 1213, 4011, 1005, 1233, 7350, 1060, 29644, 1009, 10601, 26869, 1026, 1048, 4715, 1163, 1093, 28875, 20689, 1213, 1132, 4822, 16548, 1114, 7245, 3116, 14369, 9340, 4682, 2277, 21745, 1062, 13818, 1027, 3210, 2443, 2468, 85, 11284, 6906, 9216, 6877, 22241, 6768, 17161, 1048, 10039, 1009, 1163, 1093, 28875, 2199, 3205, 1118, 1044, 4248, 1132, 5278, 1060, 23968, 1049, 16426, 1009, 23736, 2493, 3259, 1072, 1852, 1049, 13121, 1009, 4808, 3381, 1205, 6843, 4887, 1164, 1049, 25710, 1009, 13285, 1390, 20, 8991, 5136, 8229, 1072, 19140, 1006, 2823, 8447, 1009, 13285, 1390, 1060, 13460, 1009, 21899, 1049, 2915, 1041, 9308, 24415, 15647, 20, 8917, 4463, 1322, 29194, 10422, 1049, 24212, 18860, 4441, 4679, 1646, 1009, 1834, 1009, 10039, 1009, 1163, 1093, 28875, 1596, 11800, 3150, 1505, 24044, 4399, 5247, 5174, 1312, 1118, 21745, 1062, 13818, 1027, 3210, 2443, 2468, 85, 11284, 6906, 1422, 1442, 8741, 5784, 1349, 1163, 1093, 28875, 4082, 3022, 1054, 6734, 2864, 2252, 1124, 1569, 1510, 2223, 3423, 2668, 1054, 21880, 2084, 7035, 1224, 2573, 1054, 1044, 9593, 4475, 5153, 2350, 1143, 5600, 1365, 1124, 2688, 1983, 2253, 10586, 24373, 10039, 1009, 1163, 1093, 28875, 4834, 8630, 1224, 7391, 1005, 1456, 1791, 5089, 2443, 1309, 21745, 1062, 13818, 1027, 5649, 1048, 1224, 7391, 1005, 1356, 2444, 1044, 1187, 13102, 6183, 3243, 1100, 7135, 1975, 1213, 9381, 1005, 1213, 3372, 29, 1533, 31778, 1013, 1009, 1163, 1093, 28875, 14519, 18, 1679, 18017, 2864, 1054, 2595, 1206, 4984, 1009, 3049, 1009, 21880, 2308, 1776, 1531, 1799, 1009, 2992, 1009, 21880, 2471, 1026, 22524, 1060, 4590, 1054, 9100, 11742, 1009, 6425, 1358, 1803, 3671, 1079, 1026, 2511, 1006, 7083, 32, 5452, 75, 3032, 1050, 1793, 1009, 1033, 15153, 24758, 1200, 1133, 31737, 158, 1007, 5352, 1004, 3297, 4062, 2336, 1692, 1009, 7536, 1009, 1924, 96, 9332, 1039, 79, 1025, 1079, 1892, 3697, 1662, 14270, 2595, 2937, 1353, 3694, 27661, 13940, 1173, 23668, 1009, 1086, 1079, 1133, 6029, 1012, 158, 1802, 1062, 624, 158, 1076, 1041, 1903, 1088, 19, 159, 21148, 1064, 624, 28054, 1285, 1761, 3769, 5785, 3645, 1039, 79, 1006, 1589, 1041, 2123, 1536, 1093, 1009, 8660, 1434, 2855, 30, 3528, 3403, 1009, 21880, 2443, 4644, 21428, 1009, 26189, 5444, 1026, 2511, 1322, 10039, 1009, 1163, 1093, 83, 17610, 14232, 17405, 4008, 3019, 2792, 1516, 7167, 18018, 33, 1006, 1224, 9524, 1560, 71, 7898, 18, 1005, 1745, 5068, 1006, 1184, 28440, 33, 1054, 2289, 1026, 1712, 14921, 1049, 2930, 24415, 1054, 9613, 2950, 1195, 26985, 1233, 4862, 8196, 1411, 19817, 1124, 4029, 8272, 1043, 1132, 1456, 5364, 1005, 1043, 1006, 1224, 1176, 1302, 1272, 33, 1195, 1765, 10146, 1629, 1114, 26143, 32, 26930, 2464, 3027, 21994, 1352, 29295, 6229, 11622, 3694, 1160, 9454, 2220, 1026, 1235, 2538, 13736, 1006, 6746, 1049, 5496, 1271, 1569, 8339, 7823, 626, 31, 1605, 16426, 1009, 23736, 1009, 2128, 2704, 1605, 3563, 5421, 11940, 1068, 1044, 16409, 1009, 15951, 9096, 1043, 1006, 12447, 1009, 6318, 11734, 1213, 15217, 26217, 1054, 29093, 3006, 6458, 1005, 23736, 2493, 79, 6802, 3043, 15379, 12633, 5616, 1356, 4894, 26675, 1060, 5827, 7098, 1400, 28212, 1009, 5745, 2360, 1060, 1062, 1512, 2469, 3068, 3808, 8363, 6062, 8679, 13494, 1072, 12196, 17796, 1054, 2523, 1009, 2992, 1009, 21880, 2041, 15854, 31612, 1485, 1069, 1009, 8429, 3544, 1271, 1535, 1022, 1573, 1365, 1132, 1493, 29797, 1005, 6218, 2989, 1010, 1067, 1771, 1074, 4808, 3381, 26558, 8537, 1009, 8258, 1005, 4808, 6318, 1205, 5529, 8537, 1009, 4573, 4324, 1184, 3201, 1159, 16426, 1009, 23736, 24894, 1026, 16426, 1009, 24896, 1006, 7858, 1365, 1124, 28633, 1009, 3032, 1005, 4573, 1463, 1317, 25849, 1516, 11148, 1356, 16130, 26737, 1049, 16426, 1009, 1128, 27797, 4851, 19829, 22, 1064, 158, 7667, 1006, 8223, 1271, 11723, 1009, 11446, 9953, 1349, 3702, 1006, 2618, 2598, 3241, 2281, 11148, 1009, 1871, 5197, 8659, 1424, 1026, 16426, 1009, 24896, 1006, 7858, 4848, 2607, 1371, 1068, 25279, 23257, 1026, 2568, 1009, 12015, 21060, 29322, 1138, 10833, 2068, 2923, 1072, 2015, 79, 1510, 1038, 1095, 1020, 12430, 9383, 25629, 1049, 3282, 5128, 1100, 15335, 1072, 3282, 17072, 2277, 1026, 1428, 1026, 5449, 6105, 4393, 1014, 1213, 1908, 1048, 15674, 1026, 3842, 1377, 6062, 1244, 30205, 1195, 12678, 1114, 6517, 1187, 12864, 1365, 3032, 1005, 4573, 1072, 16426, 1009, 26297, 1620, 1048, 1026, 5497, 1160, 2374, 5431, 1278, 6715, 1072, 15599, 3579, 8882, 1094, 2360, 2618, 1009, 7858, 7297, 8989, 1376, 1219, 2006, 1261, 2281, 10039, 1009, 1163, 1093, 28875, 1026, 5620, 16113, 1060, 3621, 22640, 1159, 1173, 1223, 1046, 1132, 12732, 1009, 1080, 19069, 10456, 5783, 2271, 1356, 2444, 4644, 2345, 18739, 1009, 1205, 5725, 1107, 8681, 9108, 3487, 2541, 4969, 30, 1565, 3126, 1026, 11898, 1291, 1026, 19533, 1009, 1094, 2696, 77, 1856, 7933, 9553, 17673, 1121, 1009, 12864, 1114, 28923, 1571, 3032, 1808, 1461, 1009, 13743, 1459, 1024, 3905, 1048, 3004, 25039, 1054, 5449, 1271, 11337, 14102, 8466, 3432, 3589, 1118, 1224, 5326, 3032, 1345, 2412, 1461, 1060, 12259, 19, 1296, 1133, 1060, 29644, 1009, 10601, 26869, 1072, 4438, 2528, 13643, 1054, 1745, 14697, 1132, 19801, 1073, 20132, 1271, 1082, 5541, 1005, 1006, 2236, 3004, 1072, 5449, 22419, 6853, 1005, 1049, 28224, 5960, 4011, 1533, 31778, 1013, 1009, 1163, 1093, 28875, 12491, 18, 1009, 6458, 1006, 24896, 1054, 2224, 1009, 3042, 1009, 29093, 2414, 1026, 26531, 82, 1577, 1049, 16426, 4324, 1048, 1195, 1289, 2647, 1043, 10486, 1499, 2372, 4650, 1072, 3435, 1271, 12388, 1048, 11519, 1233, 8300, 1049, 16426, 1009, 23736, 1704, 21889, 1009, 10039, 1009, 1163, 1093, 28875, 1195, 19791, 1054, 16376, 1187, 16992, 1060, 1429, 1164, 2847, 1060, 4180, 2170, 1054, 15958, 1356, 1235, 2490, 3960, 4577, 1463, 12388, 10374, 4275, 20, 7731, 1026, 2738, 1049, 3009, 26970, 1043, 1026, 8996, 1049, 4606, 13192, 1005, 3525, 13192, 5976, 1924, 6538, 3645, 5196, 1020, 1108, 14256, 5515, 15084, 3876, 1349, 2793, 20847, 1048, 3032, 4720, 1052, 15316, 1006, 2618, 1009, 1128, 27797, 23171, 1026, 1048, 2283, 7594, 1044, 1057, 1024, 1368, 2402, 21060, 1043, 1006, 27497, 5011, 1244, 4710, 1006, 4716, 1009, 1853, 5574, 1026, 5449, 1068, 2593, 1054, 1853, 3621, 1463, 18821, 20288, 4650, 4808, 3381, 1205, 26371, 1005, 12491, 1213, 1561, 1132, 3525, 22337, 1005, 1200, 1478, 1054, 11848, 21330, 15055, 14256, 5205, 15084, 6507, 15, 1005, 4660, 1051, 1221, 3619, 31877, 2149, 6795, 26, 15084, 4994, 1349, 16172, 1074, 22238, 26353, 1273, 1043, 1026, 3489, 1009, 14749, 3890, 1026, 5109, 1187, 22943, 3842, 1348, 1118, 3116, 27529, 6062, 1005, 1734, 9191, 2136, 1412, 1114, 1651, 1087, 2762, 1054, 29093, 2534, 1049, 15854, 23351, 4382, 1187, 1651, 2914, 1049, 22197, 1043, 1124, 7450, 1060, 25913, 1060, 4573, 1114, 3836, 9487, 1038, 1341, 4324, 1184, 3201, 1159, 22822, 1271, 21624, 1400, 1048, 1195, 9966, 1118, 10039, 1009, 1163, 1093, 28875, 1006, 24896, 18984, 1009, 2068, 1068, 1124, 3043, 3795, 9107, 2170, 19871, 1068, 1026, 2568, 1009, 2263, 3465, 1112, 3021, 4382, 1009, 1924, 6538, 3645, 5196, 1020, 11777, 2128, 19694, 25975, 2317, 3498, 1053, 6217, 1009, 5614, 29, 1009, 6759, 4717, 1051, 1283, 26209, 18, 24955, 3694, 1082, 10282, 5321, 1114, 5569, 1123, 1036, 14006, 26770, 3021, 4382, 1187, 1651, 2914, 1049, 22197, 1043, 1124, 7450, 1060, 25913, 1060, 4573, 1114, 3836, 9487, 1038, 1341, 20, 29093, 3537, 11972, 31715, 4634, 3201, 1159, 22822, 1271, 21624, 1400, 1195, 3330, 1054, 9100, 1288, 1006, 4188, 1009, 10039, 1009, 1163, 1093, 83, 1627, 1072, 4025, 1271, 12388, 1049, 16426, 1009, 23736, 3590, 3247, 8303, 1040, 10188, 1006, 19413, 1132, 3145, 8255, 1049, 16426, 1009, 23736, 1009, 2128, 2704, 17169, 1831, 2859, 1049, 16426, 1009, 23736, 17924, 1379, 1132, 17285, 7767, 1009, 12189, 1400, 7008, 1026, 1009, 1128, 27797, 23171, 1009, 31481, 2471, 6718, 1006, 1178, 1026, 3872, 29184, 1005, 8263, 1068, 1006, 6517, 1005, 8654, 1187, 1791, 22943, 1054, 2693, 1006, 3836, 1005, 1114, 11944, 1704, 2277, 2859, 1049, 12196, 6984, 1379, 1124, 11723, 20828, 1005, 1124, 23055, 1452, 14665, 1068, 1006, 15074, 7036, 1377, 7630, 1989, 26643, 1023, 1529, 2049, 1006, 8258, 1356, 16426, 1009, 1128, 27797, 23171, 1264, 1516, 20349, 1357, 4573, 2098, 1631, 1592, 9383, 1060, 8894, 22443, 1071, 20756, 1510, 1038, 1095, 1020, 1349, 1026, 2859, 6297, 5649, 1048, 2373, 1925, 2921, 1871, 4393, 7195, 1233, 25913, 1009, 3032, 2289, 1026, 1048, 1225, 20349, 1356, 4489, 1271, 31549, 1206, 15889, 12760, 1005, 1026, 9659, 1009, 9389, 1124, 12965, 3019, 4489, 1495, 1124, 1068, 4323, 18, 1048, 4331, 1058, 24945, 1027, 33, 1159, 1318, 2289, 1026, 1048, 1225, 20349, 1072, 4657, 1009, 9963, 19794, 2351, 1005, 3615, 1068, 1006, 1751, 1049, 6219, 3017, 1005, 3878, 1305, 17207, 1385, 1009, 2073, 17116, 3029, 1048, 4172, 8853, 1645, 1371, 1118, 1751, 1060, 25913, 1009, 13127, 1043, 1026, 7065, 1049, 1048, 1058, 22378, 1072, 15476, 16426, 1009, 1128, 27797, 4851, 626, 4441, 7896, 7802, 1006, 22674, 23808, 1040, 28450, 73, 4756, 1211, 7295, 1009, 7858, 7575, 14508, 19480, 30617, 1159, 4301, 1018, 1009, 13003, 1005, 2258, 1087, 2032, 1206, 13483, 1016, 1009, 2539, 6399, 1229, 1159, 1026, 8441, 1031, 3862, 18, 1026, 5371, 2586, 1026, 2929, 86, 9804, 18, 1026, 20850, 31079, 1026, 1972, 21800, 1026, 5566, 1189, 3022, 1026, 1924, 13802, 5280, 1026, 16706, 1017, 5280, 1026, 1180, 1179, 28003, 1026, 4621, 1189, 14901, 1138, 2859, 1842, 31624, 1048, 1124, 11723, 1187, 13244, 2309, 2688, 24864, 1006, 7858, 10865, 1294, 7896, 7767, 4393, 1014, 1027, 1213, 7276, 2373, 71, 1048, 18295, 1184, 10947, 1054, 1557, 19091, 8226, 2494, 5809, 11038, 1026, 2859, 15647, 1318, 16280, 1006, 7858, 2309, 2373, 73, 17965, 1060, 16041, 30298, 626, 1365, 1124, 9587, 1242, 16176, 12867, 1049, 16101, 1005, 1049, 2591, 1468, 1066, 32, 2373, 5505, 26398, 1027, 1233, 4573, 2252, 1124, 8821, 1452, 1048, 1703, 29408, 1068, 1026, 2591, 1468, 1066, 33, 1005, 1006, 3032, 2252, 1124, 1048, 1703, 29408, 1068, 1026, 4489, 1271, 16101, 8226, 1138, 2859, 26285, 5601, 79, 1132, 25195, 1480, 22565, 1118, 9389, 1124, 11710, 1016, 1068, 18899, 1024, 1132, 8654, 1054, 2693, 1006, 7858, 1006, 30009, 1124, 20385, 9012, 1068, 9164, 1044, 8996, 1009, 2693, 1006, 7858, 1704, 2859, 21077, 2373, 16671, 1068, 1927, 1233, 25913, 1009, 4573, 1006, 29644, 1009, 10601, 26869, 1005, 2220, 1026, 1235, 5449, 23055, 1091, 1006, 9475, 1114, 9130, 2279, 30297, 1341, 1049, 4489, 1060, 4438, 2528, 1495, 1132, 1651, 2914, 4047, 2502, 1072, 2859, 28488, 1005, 1124, 1962, 7198, 26890, 1005, 16539, 1048, 1058, 14046, 1040, 1114, 2921, 1068, 2051, 1655, 1013, 2938, 1213, 3633, 5449, 1049, 17275, 67, 33, 1159, 1318, 1006, 13031, 1049, 1592, 4489, 1060, 4438, 2528, 1006, 1428, 4393, 7195, 17262, 1233, 25913, 1060, 4573, 8226, 6062, 1195, 1026, 7044, 1184, 20792, 1221, 1049, 3043, 1599, 3027, 9413, 3838, 8797, 1054, 8258, 4807, 1187, 13935, 1048, 1058, 2111, 2241, 1060, 29644, 1049, 10601, 5457, 1068, 1006, 4884, 1049, 1717, 72, 1157, 1072, 4438, 7043, 1138, 4409, 25710, 1009, 13285, 1390, 15092, 1589, 3592, 8181, 1005, 1160, 2569, 4961, 1054, 11074, 1026, 12196, 1704, 2859, 19128, 18, 1118, 2143, 6079, 2373, 16671, 1068, 1927, 1233, 25913, 1009, 3032, 2289, 1026, 1048, 1118, 1751, 1009, 4573, 1058, 7596, 20349, 626, 1114, 2413, 4485, 1159, 19801, 1073, 20132, 1271, 1082, 5541, 28291, 1280, 2122, 17186, 1160, 4491, 1013, 1072, 12196, 1349, 1072, 8223, 1049, 3633, 2293, 3279, 1049, 13759, 1138, 2859, 14384, 11897, 1048, 1132, 16967, 1480, 24233, 1048, 3842, 2241, 1006, 2413, 14659, 1236, 12201, 5392, 2373, 1491, 1664, 1132, 9076, 1005, 1005, 1546, 7010, 7439, 6581, 1132, 20611, 1068, 1132, 30648, 1024, 1054, 2089, 7450, 1009, 4573, 8226, 6062, 7044, 17384, 3838, 8797, 1187, 16967, 1480, 24233, 2170, 27758, 1187, 20611, 2025, 3998, 2255, 3027, 6440, 3865, 1233, 3578, 22803, 5803, 1206, 3578, 1187, 19801, 1073, 20132, 2149, 5515, 25, 2541, 5515, 7224, 2830, 1704, 2859, 7745, 1050, 5922, 2220, 6545, 6224, 1124, 2156, 1114, 4650, 2373, 75, 2247, 2429, 6467, 5823, 4697, 3271, 4291, 4125, 1049, 5449, 1009, 1094, 13289, 1068, 1026, 1060, 2924, 1118, 12739, 3048, 1118, 10413, 3048, 16321, 1054, 2220, 1206, 1751, 1187, 13244, 1048, 1160, 11452, 3122, 4535, 1009, 1224, 1028, 2094, 1206, 28446, 1043, 5381, 2517, 1100, 3048, 7065, 1702, 18, 1305, 7386, 1831, 12186, 1049, 17553, 1206, 8676, 1049, 9659, 8226, 1766, 1624, 5005, 2106, 1058, 20217, 1402, 1072, 5449, 1155, 1208, 2037 ]

[ 29032, 3208, 1554, 19984, 27475, 9369, 59, 21599, 1304, 1184, 5199, 6633, 10762, 29802, 11095, 10762, 20, 7804, 1058, 1299, 9578, 14333, 2348, 6973, 1009, 9961, 1029, 24742, 1009, 3597, 1009, 4410, 1009, 6367, 6036, 3792, 4142, 75, 2122, 4960, 1533, 13752, 1503, 1160, 2449, 1044, 1415, 3653, 9744, 2034, 1624, 1139, 1161, 23014, 1114, 2612, 9583, 14239, 1054, 8071, 1439, 1138, 4636, 20403, 26049, 1026, 19113, 1365, 1132, 6022, 1009, 8083, 1005, 1009, 5641, 1048, 4834, 2281, 15872, 1118, 1044, 17445, 1058, 1044, 6545, 2733, 4219, 3330, 20, 10754, 1008, 1089, 3745, 2834, 1860, 1379, 4384, 9961, 5999, 1175, 1028, 8668, 11698, 1248, 1305, 1026, 3121, 20, 3423, 2668, 4279, 1679, 5015, 19414, 13269, 1213, 5595, 1005, 2289, 1616, 1054, 1044, 31926, 1100, 1309, 1680, 13535, 8510, 1049, 3142, 1048, 8071, 1439, 1138, 4636, 20403, 26049, 1054, 26561, 8071, 1439, 1138, 4636, 20403, 26049, 1005, 1096, 1493, 17113, 3590, 1070, 1827, 1272, 8593, 4831, 1827, 3387, 24081, 1096, 1044, 6502, 1005, 3316, 6973, 4678, 1048, 1096, 8283, 1054, 3179, 1664, 1132, 2410, 3983, 18182, 1077, 1048, 1026, 13079, 1009, 14428, 1009, 3861, 1096, 1094, 3300, 1014, 2669, 6746, 1009, 1224, 5405, 1009, 13079, 28418, 1453, 1059, 12730, 1124, 2186, 15870, 10132, 4552, 20709, 1899, 2867, 2123, 1267, 24081, 2146, 17855, 95, 1172, 6797, 1315, 1203, 1175, 15191, 1287, 7498, 8532, 1006, 20174, 1211, 1131, 1409, 3130, 11187, 1049, 15585, 1187, 4620, 32, 15628, 14586, 24487, 2800, 1043, 1664, 3530, 3140, 1009, 17870, 1411, 2097, 1026, 24097, 11127, 54, 63, 29033, 1006, 1155, 1231, 2475, 2308, 4490, 4680, 2042, 1009, 6545, 10648, 8691, 3530, 6941, 6780, 8312, 1005, 4715, 1213, 4758, 10293, 1187, 6780, 7377, 9986, 14313, 3201, 1159, 3648, 72, 8871, 15, 1005, 29401, 1533, 4958, 1201, 1582, 1072, 3311, 1422, 5510, 1006, 1094, 26306, 1072, 4410, 20, 1138, 9498, 1009, 6714, 7812, 6036, 6021, 1096, 1044, 12906, 8852, 1048, 6293, 1026, 7970, 1009, 11504, 1005, 7593, 1054, 2357, 1184, 29124, 11774, 1726, 6480, 2721, 6906, 1073, 1070, 1252, 13658, 1132, 13935, 1311, 1713, 95, 12659, 1853, 3752, 1120, 1188, 2800, 1419, 1026, 19140, 1807, 1043, 5034, 1009, 1557, 11135, 1226, 12698, 1009, 7160, 5595, 1005, 1286, 25012, 1049, 3099, 6156, 1148, 1371, 1006, 10420, 1009, 16995, 41, 1005, 6545, 1043, 10488, 1068, 1044, 1286, 25012, 6304, 5595, 1049, 3099, 1009, 7812, 6036, 1571, 2369, 2994, 1680, 1124, 11504, 9701, 1005, 2022, 1208, 1026, 1048, 1325, 5474, 2804, 1872, 25772, 1009, 19559, 2098, 1171, 2602, 20573, 1118, 2073, 18072, 6713, 1778, 1005, 18448, 2315, 1006, 1224, 19516, 1505, 7855, 9088, 1009, 9130, 18, 7963, 1009, 6714, 18, 8718, 1009, 9327, 5633, 26612, 2729, 19394, 5034, 6085, 26612, 5034, 1009, 3099, 6407, 1005, 1734, 6863, 1349, 2742, 6714, 1298, 18580, 1072, 2738, 1206, 14159, 9042, 1009, 9423, 1048, 1327, 2625, 1009, 7496, 1201, 22625, 1679, 3449, 1074, 1005, 16388, 10807, 1201, 1402, 4908, 2535, 1009, 1026, 1011, 8603, 1446, 4612, 11016, 1160, 5140, 18, 1299, 4834, 1048, 9212, 1068, 1026, 3867, 4410, 1009, 8071, 1439, 1138, 4636, 20403, 9946, 1192, 1802, 10762, 1054, 3113, 1005, 1006, 5405, 1009, 21834, 1058, 18673, 1054, 6013, 31654, 1544, 1160, 4337, 1026, 1048, 1325, 10977, 1072, 3099, 1005, 85, 1048, 2155, 9207, 1846, 1009, 1487, 1946, 20, 1063, 3583, 1054, 3734, 3936, 1730, 9958, 27, 1195, 1044, 3435, 1009, 1160, 1178, 20255, 4457, 2654, 1160, 3768, 3005, 1309, 1503, 16653, 1048, 2909, 22981, 3617, 9873, 1069, 1955, 4664, 2252, 1124, 8718, 1068, 20905, 26, 1487, 3918, 1114, 8494, 1009, 6099, 1005, 1072, 10430, 31820, 1704, 3745, 1732, 3635, 10968, 1072, 2790, 10492, 2237, 3757, 1068, 1675, 2081, 3218, 6514, 24097, 20, 2034, 17308, 11342, 16275, 3960, 2380, 17984, 80, 2241, 1026, 11064, 1009, 8326, 1009, 7160, 1184, 4215, 3599, 29647, 16162, 17896, 46, 4055, 23769, 16282, 26129, 2870, 3924, 2818, 16162, 4212, 54, 2606, 10717, 10632, 2982, 18, 11136, 23522, 22826, 15104, 24355, 5356, 15104, 15132, 1123, 8371, 23980, 6996, 3642, 1063, 1144, 7146, 8192, 3726, 4824, 10632, 2982, 20, 5347, 1051, 11104, 6239, 1124, 2186, 10189, 1014, 3351, 1253, 1176, 2238, 2349, 18966, 2223, 4378, 3069, 1049, 25705, 42, 1067, 13821, 1195, 7781, 4917, 10343, 1068, 1026, 9498, 19530, 54, 24097, 8071, 1439, 1138, 4636, 20403, 9946, 1192, 1802, 10762, 3540, 1068, 11411, 9697, 20700, 1363, 13709, 1303, 12881, 3467, 1096, 19293, 14435, 2800, 1006, 3597, 1009, 4410, 29016, 1133, 4260, 1060, 6046, 15, 18763, 1068, 1026, 2790, 1915, 9086, 1026, 1630, 13788, 1049, 25705, 42, 17190, 1751, 7511, 1060, 6046, 15, 1381, 3398, 26480, 1138, 1630, 13788, 1049, 25705, 42, 1096, 1006, 2751, 6375, 1357, 1428, 13032, 13935, 21645, 3019, 17828, 1068, 3777, 1130, 2180, 1032, 1036, 4355, 3457, 1026, 8982, 1009, 5426, 2193, 4875, 1068, 7604, 13037, 1094, 2612, 32, 1142, 1346, 6773, 1535, 6713, 1161, 1009, 7160, 1009, 14288, 1799, 2337, 23, 1138, 1048, 1299, 3135, 3291, 1996, 1009, 14333, 1138, 1048, 1327, 1073, 11489, 1072, 3311, 1009, 4961, 1009, 4410, 1009, 8593, 19788, 20, 5504, 1358, 1409, 2186, 1695, 1014, 1108, 1019, 1253, 1234, 2186, 1287, 7525, 1168, 1292, 7011, 2604, 29514, 9539, 1228, 20, 8593, 2929, 2890, 1594, 4591, 4351, 2266, 1009, 1944, 4786, 1322, 1006, 6714, 1009, 10132, 1005, 4352, 71, 1132, 13935, 1322, 7741, 1009, 6714, 1054, 1557, 20327, 2045, 1821, 76, 3333, 1253, 1234, 1197, 1234, 2186, 2913, 3926, 13473, 1137, 1878, 8532, 1006, 1011, 95, 2701, 1699, 2663, 3814, 15, 2604, 1006, 2933, 74, 2499, 9287, 1324, 2019, 75, 10132, 1307, 4829, 9539, 27884, 3114, 2604, 7780, 1008, 52, 11499, 75, 1134, 1122, 3482, 91, 2901, 26823, 1005, 7048, 1213, 5595, 1054, 11337, 14102, 16921, 2363, 22586, 1107, 81, 1700, 2162, 24165, 15808, 11804, 4358, 5591, 15874, 15808, 81, 1104, 1754, 2129, 4861, 1098, 3158, 1063, 10584, 2068, 1096, 1026, 21265, 1404, 19328, 1020, 10703, 2337, 1068, 1006, 5554, 1206, 1006, 2518, 1377, 3720, 1973, 1048, 1026, 7069, 2498, 17812, 1620, 8071, 1439, 1138, 4636, 20403, 26049, 1068, 3823, 1006, 6935, 1043, 1132, 1548, 9962, 5066, 1480, 1005, 1048, 1044, 5975, 1566, 2257, 2281, 1886, 16058, 1054, 1044, 12609, 3844, 1053, 8871, 10860, 13463, 1068, 6811, 1124, 7685, 1054, 4380, 23151, 19627, 1175, 1138, 10430, 18905, 8071, 1439, 1138, 4636, 20403, 26049, 6743, 4279, 1048, 1132, 13935, 23385, 1124, 14867, 1327, 24669, 1206, 13753, 1010, 1114, 8510, 1859, 3551, 2694, 14855, 26995, 4298, 71, 1005, 5180, 6080, 1148, 7731, 13673, 1006, 25772, 22925, 1058, 19361, 1006, 2837, 1006, 1853, 3513, 1009, 6714, 10132, 4889, 1049, 14903, 16462, 1242, 1327, 3822, 2625, 1271, 8718, 1009, 16220, 7274, 8071, 8021, 88, 1054, 1664, 1132, 5679, 4846, 17626, 15841, 1092, 1292, 1094, 6640, 11184, 25629, 1271, 5242, 2223, 1782, 3328, 1068, 8071, 1439, 1138, 4636, 20403, 26049, 1274, 74, 1005, 7009, 6027, 4883, 3519, 2704, 14390, 1068, 3114, 1274, 74, 1068, 1048, 1503, 4172, 21590, 1616, 2523, 2624, 1005, 1072, 1852, 1503, 1998, 7035, 1799, 9721, 1274, 74, 1160, 1096, 12647, 8071, 2495, 7655, 1006, 1807, 10617, 5915, 1332, 87, 1048, 1026, 6137, 1060, 4583, 23744, 7977, 1041, 3418, 20, 2034, 2266, 1205, 2148, 5411, 10132, 22652, 1189, 3862, 3057, 2788, 1160, 1327, 10239, 1312, 1006, 17537, 1009, 3825, 1571, 1224, 3956, 5823, 1206, 2490, 8071, 1439, 1138, 4636, 20403, 26049, 2073, 15564, 2909, 1201, 22625, 1233, 3940, 1206, 25281, 12277, 1505, 1048, 6016, 10420, 1049, 23573, 11203, 13935, 1049, 10132, 1187, 2250, 2643, 1006, 2096, 4385, 1096, 1118, 2237, 6375, 1048, 4790, 1053, 4039, 19060, 20403, 18324, 2032, 10420, 1009, 23573, 4827, 156, 7651, 1068, 2593, 1068, 2979, 1009, 1734, 22317, 9946, 86, 1434, 1054, 12952, 1026, 1048, 1132, 13935, 6639, 18, 1015, 1255, 16923, 15939, 1166, 1533, 1255, 1964, 18792, 30216, 2422, 10958, 29987, 1068, 4531, 1124, 3469, 1184, 3652, 5006, 20774, 3646, 4662, 5270, 1307, 2177, 8666, 26448, 1159, 1128, 2081, 1128, 2084, 5270, 1128, 2308, 1026, 1415, 1009, 14288, 1187, 23465, 1766, 1015, 1255, 16923, 1327, 8845, 8071, 1439, 1138, 4636, 20403, 26049, 1826, 18743, 1006, 10513, 1554, 9340, 10902, 1009, 3248, 1096, 6440, 1006, 1857, 1704, 6380, 24343, 2020, 3814, 96, 20612, 93, 7316, 2020, 1038, 1097, 96, 2095, 1114, 11923, 3275, 1469, 1439, 1953, 26293, 96, 2456, 20709, 26944, 1146, 6358, 1804, 81, 82, 1248, 8591, 9583, 1004, 83, 1080, 96, 2020, 72, 81, 10132, 23139, 93, 5206, 82, 9603, 1083, 1025, 74, 2690, 1782, 2752, 11923, 22861, 1953, 26293, 96, 2456, 20709, 1180, 1835, 89, 96, 4077, 81, 1434, 1084, 5840, 1520, 4862, 2834, 2456, 28684, 1067, 2456, 71, 1953, 26293, 96, 2456, 75, 1180, 1956, 18881, 6145, 1004, 2344, 7729, 10965, 1439, 3187, 1045, 3158, 3713, 1566, 5511, 1079, 1054, 4732, 1009, 11974, 13160, 1058, 1132, 3770, 9610, 1657, 15542, 1206, 4082, 2650, 6843, 71, 1107, 71, 1072, 1292, 1593, 79, 13797, 18046, 86, 1162, 1543, 78, 3297, 79, 1130, 1164, 2488, 2604, 1053, 1192, 1214, 81, 21128, 1603, 1299, 1160, 1225, 1124, 22658, 20057, 18, 1309, 1298, 1138, 3669, 1055, 1068, 1646, 1009, 3513, 1005, 1044, 6083, 14747, 1629, 1009, 4818, 1009, 6714, 1054, 14888, 2094, 1299, 1318, 1325, 26238, 5721, 27044, 1298, 28142, 1964, 1006, 1094, 5405, 2627, 6336, 1009, 2916, 1009, 3404, 1068, 6714, 1009, 3346, 17654, 1072, 14489, 20, 3279, 1123, 1174, 18591, 1180, 4418, 20, 10504, 1159, 5621, 1162, 19060, 20403, 1142, 9261, 3379, 1164, 16729, 3256, 1005, 1026, 15789, 84, 20625, 1138, 156, 86, 1027, 1178, 1044, 1807, 1004, 7883, 1294, 3480, 1049, 6687, 20, 20261, 8060, 9417, 3510, 12771, 3510, 12771, 1175, 2023, 28294, 7685, 10067, 1015, 1255, 16923, 1184, 1028, 43, 1331, 1439, 1009, 1244, 13323, 2654, 3100, 6255, 17569, 2408, 15698, 20, 4378, 8263, 3901, 1048, 5251, 1187, 1456, 15383, 1009, 3861, 1693, 1178, 10773, 1166, 1159, 1009, 2729, 5633, 28174, 1009, 1984, 15, 1005, 1132, 13695, 4110, 5535, 156, 152, 79, 1159, 1009, 9327, 5633, 1071, 4673, 3377, 3107, 62, 27759, 63, 20, 17979, 1928, 1021, 1161, 1054, 6022, 24357, 1371, 1068, 1094, 2700, 1009, 3398, 30286, 2246, 1026, 21356, 1348, 1090, 1097, 14003, 1160, 1298, 2684, 11969, 1132, 30286, 29293, 11203, 6543, 8071, 10707, 13718, 1009, 3886, 1006, 1680, 1054, 11112, 1009, 8069, 4846, 1482, 3149, 1009, 7624, 1083, 1119, 16212, 5414, 1516, 12227, 1006, 2916, 1009, 20061, 1144, 74, 2690, 1953, 6625, 81, 96, 1252, 1335, 8071, 1439, 1138, 4636, 20403, 26049, 2224, 1173, 21171, 4673, 59, 1162, 96, 1320, 1051, 1434, 32, 2478, 1078, 31551, 21896, 4503, 2982, 15275, 49, 4436, 6822, 1026, 20, 12151, 1111, 1266, 1048, 8071, 88, 93, 88, 3241, 1094, 2612, 1009, 6714, 1009, 20061, 1106, 7853, 1157, 1006, 8377, 1009, 1094, 5732, 1009, 13165, 1159, 8228, 1065, 1625, 1014, 1298, 6588, 1048, 1132, 13935, 1068, 1026, 6545, 1187, 10420, 7284, 2328, 1009, 1044, 19617, 6957, 20967, 1680, 1159, 1261, 1664, 1132, 1086, 30617, 6099, 1005, 13269, 1233, 1224, 10001, 9806, 1018, 6543, 2195, 28514, 1072, 3090, 10226, 3552, 7507, 1009, 11526, 2716, 17472, 14279, 1054, 10184, 1721, 1461, 3150, 17939, 4826, 42, 1071, 3211, 18031, 12325, 8463, 1253, 4429, 1153, 1909, 1058, 72, 1165, 1214, 26181, 1214, 1058, 72, 1623, 78, 1953, 9804, 20, 22502, 14504, 1138, 1048, 5934, 1043, 5915, 1332, 1034, 2358, 21954, 1060, 11698, 1014, 1063, 1005, 1049, 11698, 1014, 1106, 1511, 1026, 4410, 1063, 14083, 24097, 11506, 3114, 1008, 11489, 1717, 1857, 21567, 32, 1138, 13325, 4559, 1063, 4082, 23955, 22, 1005, 1026, 13325, 4559, 1106, 4082, 7583, 22, 1060, 1224, 28292, 10762, 1068, 1663, 1487, 3211, 3720, 13236, 32, 11693, 5767, 1288, 1040, 2097, 2089, 5767, 2054, 3982, 4210, 3460, 1084, 1077, 1012, 1439, 1009, 4169, 20403, 4210, 4106, 2380, 1009, 4169, 8071, 1439, 1138, 4636, 20403, 26049, 5732, 1009, 4981, 1009, 4449, 5758, 16249, 3460, 10539, 1009, 4169, 3275, 92, 1500, 1439, 4210, 3460, 22317, 1009, 4169, 20403, 1043, 4885, 3319, 1009, 14583, 8407, 1080, 1098, 1446, 11768, 13316, 1322, 1044, 16626, 26440, 4634, 1842, 3413, 40, 28, 3973, 14118, 15016, 5915, 1332, 87, 23030, 31984, 22044, 1138, 19277, 14146, 1986, 1006, 3596, 1009, 18506, 19060, 30216, 14572, 1009, 5535, 156, 1055, 1080, 86, 1134, 27374, 1005, 6550, 1009, 1184, 2125, 2395, 1361, 1009, 5405, 1054, 7123, 1058, 1680, 1323, 10689, 18, 2916, 8071, 1439, 1138, 4636, 20403, 26049, 1158, 3229, 4908, 1133, 1048, 1299, 1298, 3659, 1072, 3159, 1118, 2950, 1557, 5692, 1870, 1309, 1503, 17590, 10193, 2060, 1048, 1299, 2439, 1694, 1006, 14149, 1009, 4982, 1005, 1044, 1531, 1178, 4310, 1009, 14149, 1118, 4384, 1592, 1305, 2071, 1668, 23780, 5236, 2244, 1112, 6866, 1494, 1316, 85, 1005, 4137, 2177, 9966, 1068 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 29032, 3208, 1554, 19984, 27475, 9369, 59, 21599, 1304, 1184, 5199, 6633, 10762, 29802, 11095, 10762, 20, 7804, 1058, 1299, 9578, 14333, 2348, 6973, 1009, 9961, 1029, 24742, 1009, 3597, 1009, 4410, 1009, 6367, 6036, 3792, 4142, 75, 2122, 4960, 1533, 13752, 1503, 1160, 2449, 1044, 1415, 3653, 9744, 2034, 1624, 1139, 1161, 23014, 1114, 2612, 9583, 14239, 1054, 8071, 1439, 1138, 4636, 20403, 26049, 1026, 19113, 1365, 1132, 6022, 1009, 8083, 1005, 1009, 5641, 1048, 4834, 2281, 15872, 1118, 1044, 17445, 1058, 1044, 6545, 2733, 4219, 3330, 20, 10754, 1008, 1089, 3745, 2834, 1860, 1379, 4384, 9961, 5999, 1175, 1028, 8668, 11698, 1248, 1305, 1026, 3121, 20, 3423, 2668, 4279, 1679, 5015, 19414, 13269, 1213, 5595, 1005, 2289, 1616, 1054, 1044, 31926, 1100, 1309, 1680, 13535, 8510, 1049, 3142, 1048, 8071, 1439, 1138, 4636, 20403, 26049, 1054, 26561, 8071, 1439, 1138, 4636, 20403, 26049, 1005, 1096, 1493, 17113, 3590, 1070, 1827, 1272, 8593, 4831, 1827, 3387, 24081, 1096, 1044, 6502, 1005, 3316, 6973, 4678, 1048, 1096, 8283, 1054, 3179, 1664, 1132, 2410, 3983, 18182, 1077, 1048, 1026, 13079, 1009, 14428, 1009, 3861, 1096, 1094, 3300, 1014, 2669, 6746, 1009, 1224, 5405, 1009, 13079, 28418, 1453, 1059, 12730, 1124, 2186, 15870, 10132, 4552, 20709, 1899, 2867, 2123, 1267, 24081, 2146, 17855, 95, 1172, 6797, 1315, 1203, 1175, 15191, 1287, 7498, 8532, 1006, 20174, 1211, 1131, 1409, 3130, 11187, 1049, 15585, 1187, 4620, 32, 15628, 14586, 24487, 2800, 1043, 1664, 3530, 3140, 1009, 17870, 1411, 2097, 1026, 24097, 11127, 54, 63, 29033, 1006, 1155, 1231, 2475, 2308, 4490, 4680, 2042, 1009, 6545, 10648, 8691, 3530, 6941, 6780, 8312, 1005, 4715, 1213, 4758, 10293, 1187, 6780, 7377, 9986, 14313, 3201, 1159, 3648, 72, 8871, 15, 1005, 29401, 1533, 4958, 1201, 1582, 1072, 3311, 1422, 5510, 1006, 1094, 26306, 1072, 4410, 20, 1138, 9498, 1009, 6714, 7812, 6036, 6021, 1096, 1044, 12906, 8852, 1048, 6293, 1026, 7970, 1009, 11504, 1005, 7593, 1054, 2357, 1184, 29124, 11774, 1726, 6480, 2721, 6906, 1073, 1070, 1252, 13658, 1132, 13935, 1311, 1713, 95, 12659, 1853, 3752, 1120, 1188, 2800, 1419, 1026, 19140, 1807, 1043, 5034, 1009, 1557, 11135, 1226, 12698, 1009, 7160, 5595, 1005, 1286, 25012, 1049, 3099, 6156, 1148, 1371, 1006, 10420, 1009, 16995, 41, 1005, 6545, 1043, 10488, 1068, 1044, 1286, 25012, 6304, 5595, 1049, 3099, 1009, 7812, 6036, 1571, 2369, 2994, 1680, 1124, 11504, 9701, 1005, 2022, 1208, 1026, 1048, 1325, 5474, 2804, 1872, 25772, 1009, 19559, 2098, 1171, 2602, 20573, 1118, 2073, 18072, 6713, 1778, 1005, 18448, 2315, 1006, 1224, 19516, 1505, 7855, 9088, 1009, 9130, 18, 7963, 1009, 6714, 18, 8718, 1009, 9327, 5633, 26612, 2729, 19394, 5034, 6085, 26612, 5034, 1009, 3099, 6407, 1005, 1734, 6863, 1349, 2742, 6714, 1298, 18580, 1072, 2738, 1206, 14159, 9042, 1009, 9423, 1048, 1327, 2625, 1009, 7496, 1201, 22625, 1679, 3449, 1074, 1005, 16388, 10807, 1201, 1402, 4908, 2535, 1009, 1026, 1011, 8603, 1446, 4612, 11016, 1160, 5140, 18, 1299, 4834, 1048, 9212, 1068, 1026, 3867, 4410, 1009, 8071, 1439, 1138, 4636, 20403, 9946, 1192, 1802, 10762, 1054, 3113, 1005, 1006, 5405, 1009, 21834, 1058, 18673, 1054, 6013, 31654, 1544, 1160, 4337, 1026, 1048, 1325, 10977, 1072, 3099, 1005, 85, 1048, 2155, 9207, 1846, 1009, 1487, 1946, 20, 1063, 3583, 1054, 3734, 3936, 1730, 9958, 27, 1195, 1044, 3435, 1009, 1160, 1178, 20255, 4457, 2654, 1160, 3768, 3005, 1309, 1503, 16653, 1048, 2909, 22981, 3617, 9873, 1069, 1955, 4664, 2252, 1124, 8718, 1068, 20905, 26, 1487, 3918, 1114, 8494, 1009, 6099, 1005, 1072, 10430, 31820, 1704, 3745, 1732, 3635, 10968, 1072, 2790, 10492, 2237, 3757, 1068, 1675, 2081, 3218, 6514, 24097, 20, 2034, 17308, 11342, 16275, 3960, 2380, 17984, 80, 2241, 1026, 11064, 1009, 8326, 1009, 7160, 1184, 4215, 3599, 29647, 16162, 17896, 46, 4055, 23769, 16282, 26129, 2870, 3924, 2818, 16162, 4212, 54, 2606, 10717, 10632, 2982, 18, 11136, 23522, 22826, 15104, 24355, 5356, 15104, 15132, 1123, 8371, 23980, 6996, 3642, 1063, 1144, 7146, 8192, 3726, 4824, 10632, 2982, 20, 5347, 1051, 11104, 6239, 1124, 2186, 10189, 1014, 3351, 1253, 1176, 2238, 2349, 18966, 2223, 4378, 3069, 1049, 25705, 42, 1067, 13821, 1195, 7781, 4917, 10343, 1068, 1026, 9498, 19530, 54, 24097, 8071, 1439, 1138, 4636, 20403, 9946, 1192, 1802, 10762, 3540, 1068, 11411, 9697, 20700, 1363, 13709, 1303, 12881, 3467, 1096, 19293, 14435, 2800, 1006, 3597, 1009, 4410, 29016, 1133, 4260, 1060, 6046, 15, 18763, 1068, 1026, 2790, 1915, 9086, 1026, 1630, 13788, 1049, 25705, 42, 17190, 1751, 7511, 1060, 6046, 15, 1381, 3398, 26480, 1138, 1630, 13788, 1049, 25705, 42, 1096, 1006, 2751, 6375, 1357, 1428, 13032, 13935, 21645, 3019, 17828, 1068, 3777, 1130, 2180, 1032, 1036, 4355, 3457, 1026, 8982, 1009, 5426, 2193, 4875, 1068, 7604, 13037, 1094, 2612, 32, 1142, 1346, 6773, 1535, 6713, 1161, 1009, 7160, 1009, 14288, 1799, 2337, 23, 1138, 1048, 1299, 3135, 3291, 1996, 1009, 14333, 1138, 1048, 1327, 1073, 11489, 1072, 3311, 1009, 4961, 1009, 4410, 1009, 8593, 19788, 20, 5504, 1358, 1409, 2186, 1695, 1014, 1108, 1019, 1253, 1234, 2186, 1287, 7525, 1168, 1292, 7011, 2604, 29514, 9539, 1228, 20, 8593, 2929, 2890, 1594, 4591, 4351, 2266, 1009, 1944, 4786, 1322, 1006, 6714, 1009, 10132, 1005, 4352, 71, 1132, 13935, 1322, 7741, 1009, 6714, 1054, 1557, 20327, 2045, 1821, 76, 3333, 1253, 1234, 1197, 1234, 2186, 2913, 3926, 13473, 1137, 1878, 8532, 1006, 1011, 95, 2701, 1699, 2663, 3814, 15, 2604, 1006, 2933, 74, 2499, 9287, 1324, 2019, 75, 10132, 1307, 4829, 9539, 27884, 3114, 2604, 7780, 1008, 52, 11499, 75, 1134, 1122, 3482, 91, 2901, 26823, 1005, 7048, 1213, 5595, 1054, 11337, 14102, 16921, 2363, 22586, 1107, 81, 1700, 2162, 24165, 15808, 11804, 4358, 5591, 15874, 15808, 81, 1104, 1754, 2129, 4861, 1098, 3158, 1063, 10584, 2068, 1096, 1026, 21265, 1404, 19328, 1020, 10703, 2337, 1068, 1006, 5554, 1206, 1006, 2518, 1377, 3720, 1973, 1048, 1026, 7069, 2498, 17812, 1620, 8071, 1439, 1138, 4636, 20403, 26049, 1068, 3823, 1006, 6935, 1043, 1132, 1548, 9962, 5066, 1480, 1005, 1048, 1044, 5975, 1566, 2257, 2281, 1886, 16058, 1054, 1044, 12609, 3844, 1053, 8871, 10860, 13463, 1068, 6811, 1124, 7685, 1054, 4380, 23151, 19627, 1175, 1138, 10430, 18905, 8071, 1439, 1138, 4636, 20403, 26049, 6743, 4279, 1048, 1132, 13935, 23385, 1124, 14867, 1327, 24669, 1206, 13753, 1010, 1114, 8510, 1859, 3551, 2694, 14855, 26995, 4298, 71, 1005, 5180, 6080, 1148, 7731, 13673, 1006, 25772, 22925, 1058, 19361, 1006, 2837, 1006, 1853, 3513, 1009, 6714, 10132, 4889, 1049, 14903, 16462, 1242, 1327, 3822, 2625, 1271, 8718, 1009, 16220, 7274, 8071, 8021, 88, 1054, 1664, 1132, 5679, 4846, 17626, 15841, 1092, 1292, 1094, 6640, 11184, 25629, 1271, 5242, 2223, 1782, 3328, 1068, 8071, 1439, 1138, 4636, 20403, 26049, 1274, 74, 1005, 7009, 6027, 4883, 3519, 2704, 14390, 1068, 3114, 1274, 74, 1068, 1048, 1503, 4172, 21590, 1616, 2523, 2624, 1005, 1072, 1852, 1503, 1998, 7035, 1799, 9721, 1274, 74, 1160, 1096, 12647, 8071, 2495, 7655, 1006, 1807, 10617, 5915, 1332, 87, 1048, 1026, 6137, 1060, 4583, 23744, 7977, 1041, 3418, 20, 2034, 2266, 1205, 2148, 5411, 10132, 22652, 1189, 3862, 3057, 2788, 1160, 1327, 10239, 1312, 1006, 17537, 1009, 3825, 1571, 1224, 3956, 5823, 1206, 2490, 8071, 1439, 1138, 4636, 20403, 26049, 2073, 15564, 2909, 1201, 22625, 1233, 3940, 1206, 25281, 12277, 1505, 1048, 6016, 10420, 1049, 23573, 11203, 13935, 1049, 10132, 1187, 2250, 2643, 1006, 2096, 4385, 1096, 1118, 2237, 6375, 1048, 4790, 1053, 4039, 19060, 20403, 18324, 2032, 10420, 1009, 23573, 4827, 156, 7651, 1068, 2593, 1068, 2979, 1009, 1734, 22317, 9946, 86, 1434, 1054, 12952, 1026, 1048, 1132, 13935, 6639, 18, 1015, 1255, 16923, 15939, 1166, 1533, 1255, 1964, 18792, 30216, 2422, 10958, 29987, 1068, 4531, 1124, 3469, 1184, 3652, 5006, 20774, 3646, 4662, 5270, 1307, 2177, 8666, 26448, 1159, 1128, 2081, 1128, 2084, 5270, 1128, 2308, 1026, 1415, 1009, 14288, 1187, 23465, 1766, 1015, 1255, 16923, 1327, 8845, 8071, 1439, 1138, 4636, 20403, 26049, 1826, 18743, 1006, 10513, 1554, 9340, 10902, 1009, 3248, 1096, 6440, 1006, 1857, 1704, 6380, 24343, 2020, 3814, 96, 20612, 93, 7316, 2020, 1038, 1097, 96, 2095, 1114, 11923, 3275, 1469, 1439, 1953, 26293, 96, 2456, 20709, 26944, 1146, 6358, 1804, 81, 82, 1248, 8591, 9583, 1004, 83, 1080, 96, 2020, 72, 81, 10132, 23139, 93, 5206, 82, 9603, 1083, 1025, 74, 2690, 1782, 2752, 11923, 22861, 1953, 26293, 96, 2456, 20709, 1180, 1835, 89, 96, 4077, 81, 1434, 1084, 5840, 1520, 4862, 2834, 2456, 28684, 1067, 2456, 71, 1953, 26293, 96, 2456, 75, 1180, 1956, 18881, 6145, 1004, 2344, 7729, 10965, 1439, 3187, 1045, 3158, 3713, 1566, 5511, 1079, 1054, 4732, 1009, 11974, 13160, 1058, 1132, 3770, 9610, 1657, 15542, 1206, 4082, 2650, 6843, 71, 1107, 71, 1072, 1292, 1593, 79, 13797, 18046, 86, 1162, 1543, 78, 3297, 79, 1130, 1164, 2488, 2604, 1053, 1192, 1214, 81, 21128, 1603, 1299, 1160, 1225, 1124, 22658, 20057, 18, 1309, 1298, 1138, 3669, 1055, 1068, 1646, 1009, 3513, 1005, 1044, 6083, 14747, 1629, 1009, 4818, 1009, 6714, 1054, 14888, 2094, 1299, 1318, 1325, 26238, 5721, 27044, 1298, 28142, 1964, 1006, 1094, 5405, 2627, 6336, 1009, 2916, 1009, 3404, 1068, 6714, 1009, 3346, 17654, 1072, 14489, 20, 3279, 1123, 1174, 18591, 1180, 4418, 20, 10504, 1159, 5621, 1162, 19060, 20403, 1142, 9261, 3379, 1164, 16729, 3256, 1005, 1026, 15789, 84, 20625, 1138, 156, 86, 1027, 1178, 1044, 1807, 1004, 7883, 1294, 3480, 1049, 6687, 20, 20261, 8060, 9417, 3510, 12771, 3510, 12771, 1175, 2023, 28294, 7685, 10067, 1015, 1255, 16923, 1184, 1028, 43, 1331, 1439, 1009, 1244, 13323, 2654, 3100, 6255, 17569, 2408, 15698, 20, 4378, 8263, 3901, 1048, 5251, 1187, 1456, 15383, 1009, 3861, 1693, 1178, 10773, 1166, 1159, 1009, 2729, 5633, 28174, 1009, 1984, 15, 1005, 1132, 13695, 4110, 5535, 156, 152, 79, 1159, 1009, 9327, 5633, 1071, 4673, 3377, 3107, 62, 27759, 63, 20, 17979, 1928, 1021, 1161, 1054, 6022, 24357, 1371, 1068, 1094, 2700, 1009, 3398, 30286, 2246, 1026, 21356, 1348, 1090, 1097, 14003, 1160, 1298, 2684, 11969, 1132, 30286, 29293, 11203, 6543, 8071, 10707, 13718, 1009, 3886, 1006, 1680, 1054, 11112, 1009, 8069, 4846, 1482, 3149, 1009, 7624, 1083, 1119, 16212, 5414, 1516, 12227, 1006, 2916, 1009, 20061, 1144, 74, 2690, 1953, 6625, 81, 96, 1252, 1335, 8071, 1439, 1138, 4636, 20403, 26049, 2224, 1173, 21171, 4673, 59, 1162, 96, 1320, 1051, 1434, 32, 2478, 1078, 31551, 21896, 4503, 2982, 15275, 49, 4436, 6822, 1026, 20, 12151, 1111, 1266, 1048, 8071, 88, 93, 88, 3241, 1094, 2612, 1009, 6714, 1009, 20061, 1106, 7853, 1157, 1006, 8377, 1009, 1094, 5732, 1009, 13165, 1159, 8228, 1065, 1625, 1014, 1298, 6588, 1048, 1132, 13935, 1068, 1026, 6545, 1187, 10420, 7284, 2328, 1009, 1044, 19617, 6957, 20967, 1680, 1159, 1261, 1664, 1132, 1086, 30617, 6099, 1005, 13269, 1233, 1224, 10001, 9806, 1018, 6543, 2195, 28514, 1072, 3090, 10226, 3552, 7507, 1009, 11526, 2716, 17472, 14279, 1054, 10184, 1721, 1461, 3150, 17939, 4826, 42, 1071, 3211, 18031, 12325, 8463, 1253, 4429, 1153, 1909, 1058, 72, 1165, 1214, 26181, 1214, 1058, 72, 1623, 78, 1953, 9804, 20, 22502, 14504, 1138, 1048, 5934, 1043, 5915, 1332, 1034, 2358, 21954, 1060, 11698, 1014, 1063, 1005, 1049, 11698, 1014, 1106, 1511, 1026, 4410, 1063, 14083, 24097, 11506, 3114, 1008, 11489, 1717, 1857, 21567, 32, 1138, 13325, 4559, 1063, 4082, 23955, 22, 1005, 1026, 13325, 4559, 1106, 4082, 7583, 22, 1060, 1224, 28292, 10762, 1068, 1663, 1487, 3211, 3720, 13236, 32, 11693, 5767, 1288, 1040, 2097, 2089, 5767, 2054, 3982, 4210, 3460, 1084, 1077, 1012, 1439, 1009, 4169, 20403, 4210, 4106, 2380, 1009, 4169, 8071, 1439, 1138, 4636, 20403, 26049, 5732, 1009, 4981, 1009, 4449, 5758, 16249, 3460, 10539, 1009, 4169, 3275, 92, 1500, 1439, 4210, 3460, 22317, 1009, 4169, 20403, 1043, 4885, 3319, 1009, 14583, 8407, 1080, 1098, 1446, 11768, 13316, 1322, 1044, 16626, 26440, 4634, 1842, 3413, 40, 28, 3973, 14118, 15016, 5915, 1332, 87, 23030, 31984, 22044, 1138, 19277, 14146, 1986, 1006, 3596, 1009, 18506, 19060, 30216, 14572, 1009, 5535, 156, 1055, 1080, 86, 1134, 27374, 1005, 6550, 1009, 1184, 2125, 2395, 1361, 1009, 5405, 1054, 7123, 1058, 1680, 1323, 10689, 18, 2916, 8071, 1439, 1138, 4636, 20403, 26049, 1158, 3229, 4908, 1133, 1048, 1299, 1298, 3659, 1072, 3159, 1118, 2950, 1557, 5692, 1870, 1309, 1503, 17590, 10193, 2060, 1048, 1299, 2439, 1694, 1006, 14149, 1009, 4982, 1005, 1044, 1531, 1178, 4310, 1009, 14149, 1118, 4384, 1592, 1305, 2071, 1668, 23780, 5236, 2244, 1112, 6866, 1494, 1316, 85, 1005, 4137, 2177, 9966, 1068 ]

[ 6286, 4283, 2132, 4469, 1312, 1072, 3099, 1048, 1327, 2444, 21524, 1049, 1048, 9397, 1235, 3266, 2666, 1206, 4751, 1009, 1123, 60, 1240, 1248, 8659, 1257, 9340, 1048, 3348, 1508, 1616, 1664, 1132, 2864, 4229, 3711, 1298, 1178, 1026, 1901, 1009, 1123, 60, 4078, 1292, 1026, 1804, 7370, 4779, 20, 1257, 13295, 1783, 4343, 17414, 1094, 1807, 17412, 1009, 1235, 1531, 17206, 1054, 1094, 24749, 1026, 1048, 1381, 18981, 1048, 2764, 1046, 1668, 3182, 1206, 10067, 6286, 7055, 1068, 3171, 1072, 2386, 1009, 6730, 2177, 1927, 4114, 20, 3782, 3901, 1048, 1132, 19811, 19353, 1620, 1826, 1493, 1054, 10729, 1126, 1159, 28727, 1312, 1009, 9496, 9263, 1041, 1043, 1094, 6735, 1009, 11486, 1081, 30819, 4434, 19, 5828, 1009, 1664, 1132, 11982, 1229, 1005, 2383, 1444, 1480, 1009, 7975, 1206, 6727, 1916, 28294, 23714, 1009, 7975, 1318, 1327, 7383, 1580, 1005, 6118, 1278, 5262, 1068, 10596, 1006, 2323, 1009, 16139, 1054, 14832, 1009, 7948, 2051, 13291, 4457, 1142, 24911, 1318, 1068, 14126, 2127, 4022, 1233, 19706, 1271, 11504, 1060, 9319, 1049, 3867, 1901, 1005, 6919, 1013, 6546, 5281, 1005, 5850, 1054, 1456, 5942, 16877, 1918, 20, 30817, 1654, 7959, 1159, 7331, 1005, 1080, 8370, 1826, 20, 9649, 1014, 6794, 1009, 16320, 1114, 4375, 1049, 2481, 1005, 3689, 16766, 1118, 5850, 12632, 1185, 2682, 4592, 1010, 19006, 10187, 1006, 1151, 2994, 1068, 1456, 5418, 1010, 16877, 21320, 1118, 2991, 1565, 1062, 1888, 8124, 1054, 4053, 1596, 1251, 1361, 20090, 1391, 2328, 1009, 3700, 12353, 1009, 11486, 1081, 33, 2276, 18673, 1456, 4101, 2054, 2812, 1166, 1068, 1419, 1058, 1616, 6178, 2080, 1945, 1054, 16202, 1257, 11090, 1026, 14312, 32, 7806, 9396, 1096, 3344, 6600, 1009, 27904, 1060, 15727, 1252, 1341, 14173, 14412, 1313, 1189, 2737, 1005, 4148, 1009, 8623, 14626, 10158, 4111, 2986, 1005, 2858, 72, 4404, 1226, 29206, 1137, 4589, 3713, 1298, 1058, 12251, 1043, 1026, 1313, 1189, 2737, 1072, 28233, 26384, 2702, 1005, 9891, 20, 1257, 3204, 1096, 1044, 2025, 1223, 4434, 1009, 1044, 1187, 3794, 2653, 13248, 20, 14530, 1927, 18659, 1054, 8316, 1006, 7922, 1009, 3284, 1009, 3596, 3450, 1054, 7636, 17973, 12082, 1068, 6828, 25060, 4333, 1054, 4280, 1058, 1299, 9578, 3291, 1159, 1299, 1298, 11860, 1068, 1026, 2930, 11184, 6724, 1009, 13709, 1303, 1068, 6828, 3235, 5044, 5942, 16877, 1918, 1054, 4229, 3634, 6394, 2161, 1005, 21947, 18, 7519, 29181, 1026, 3099, 1184, 3866, 1091, 1005, 9290, 19, 4675, 73, 1778, 20, 4300, 1005, 12773, 16756, 7055, 1009, 5870, 5903, 9490, 6978, 1788, 11966, 1005, 6286, 7055, 1009, 7975, 1327, 2252, 11504, 1039, 8473, 2034, 8340, 1693, 8316, 8895, 1054, 22070, 1009, 6621, 1005, 28657, 1009, 6621, 1060, 1207, 12, 57, 1206, 5942, 16877, 1918, 1048, 14445, 1046, 7055, 5472, 9490, 1159, 9030, 1544, 1009, 1033, 23454, 18, 29528, 1009, 3111, 8837, 1206, 7953, 89, 1009, 7483, 29013, 2445, 6626, 1009, 1080, 8370, 20, 19202, 1161, 1009, 4639, 1009, 4885, 3156, 1100, 1159, 13208, 1009, 23457, 5227, 1544, 1009, 8079, 5584, 31977, 1206, 19597, 5282, 1009, 8079, 1009, 4214, 1327, 1044, 1160, 3577, 3870, 6041, 20, 19202, 1161, 14753, 1034, 1074, 1005, 1009, 3596, 13057, 1159, 5418, 1010, 1009, 1151, 2994, 1206, 1033, 4340, 1009, 11456, 1009, 4214, 1693, 7304, 1006, 1094, 4716, 1068, 1026, 15424, 14173, 23924, 1096, 1094, 8509, 3412, 3017, 1043, 6978, 1009, 20531, 1206, 1205, 56, 1005, 6286, 1009, 3538, 1788, 1485, 10433, 21893, 1006, 4022, 19706, 1976, 1178, 9803, 1726, 11504, 1060, 9319, 1049, 3867, 1901, 1068, 22567, 5281, 1005, 5850, 1054, 5942, 16877, 21320, 16722, 1026, 16320, 1005, 2096, 16658, 5850, 12632, 25051, 1159, 1006, 1151, 2994, 20, 1, 4714, 3748, 1044, 4902, 1005, 2449, 1048, 27045, 1407, 1024, 1006, 3484, 6672, 1068, 1006, 4960, 1986, 1026, 2859, 20, 19984, 32, 7027, 1132, 2864, 2539, 8471, 1009, 1783, 3833, 83, 1294, 14508, 1009, 4526, 1114, 17180, 20, 1084, 1365, 1044, 1005, 1761, 96, 1361, 1910, 1783, 1327, 2425, 7823, 6126, 6264, 1068, 4531, 1124, 15809, 1289, 4525, 1309, 1124, 1783, 3048, 1927, 15273, 29272, 1726, 6264, 20, 5126, 1327, 2054, 91, 1115, 1554, 1603, 1664, 15273, 1087, 3493, 1726, 1445, 4525, 1006, 8442, 2177, 1493, 1184, 1289, 5304, 2800, 4800, 4531, 1124, 15809, 1184, 31844, 37, 1142, 24911, 2429, 8263, 20, 2494, 17180, 1026, 12191, 8491, 1371, 1233, 7116, 20, 1868, 6420, 8880, 1005, 31952, 3634, 1664, 3647, 1026, 2790, 15053, 1060, 8442, 20, 2494, 3364, 1187, 1734, 13705, 1026, 12191, 8491, 1371, 1233, 1490, 9561, 10077, 1009, 22406, 1006, 1090, 5916, 10894, 9135, 1005, 6530, 1068, 1124, 2156, 7320, 20, 2458, 1208, 1068, 1006, 8643, 1005, 1068, 1006, 7116, 20, 7804, 1058, 1299, 1225, 5391, 1009, 1048, 1006, 8442, 1096, 5864, 18, 1096, 7079, 22406, 1006, 8442, 20, 1603, 1299, 3505, 3978, 6828, 1206, 1783, 1493, 22813, 1273, 11928, 16520, 1006, 22406, 1006, 8442, 20, 6629, 2315, 14745, 3794, 5089, 1006, 22406, 1006, 8442, 1043, 21053, 6629, 2315, 1927, 2997, 16288, 1044, 2631, 17216, 2034, 3978, 6828, 1160, 3634, 20708, 1114, 2296, 1377, 22502, 12155, 1138, 1048, 1160, 1096, 4918, 37, 18792, 32, 1063, 32, 10077, 1009, 5242, 1024, 1006, 1090, 5916, 10894, 9135, 1005, 6530, 1068, 1124, 2156, 7320, 20, 1106, 32, 1776, 2930, 1908, 1026, 12191, 8491, 1371, 1233, 1490, 9561, 25082, 12780, 4753, 1783, 3833, 83, 1294, 14508, 1009, 12513, 1114, 17180, 1119, 32, 2034, 4268, 1160, 1327, 6453, 16013, 1068, 6534, 4860, 8361, 2808, 1006, 3484, 1048, 1160, 1325, 6672, 18, 4803, 9066, 1752, 4169, 32, 1257, 1063, 32, 10077, 1009, 22406, 1006, 1090, 5916, 10894, 9135, 1005, 6530, 1068, 1124, 2156, 7320, 1175, 4378, 8239, 1325, 10758, 1009, 2303, 1043, 1026, 2859, 20, 2200, 11496, 3089, 8396, 1006, 9135, 1005, 6530, 1132, 1791, 10429, 1996, 1009, 22406, 1006, 8442, 20, 1257, 1106, 32, 1776, 2930, 1908, 1026, 12191, 8491, 1371, 1233, 8643, 1175, 1138, 2859, 5649, 1048, 1114, 3364, 1187, 3825, 1026, 12191, 8491, 1371, 1233, 21898, 1309, 1114, 17180, 18, 1026, 12191, 8491, 1371, 1233, 7116, 20, 1776, 2268, 2237, 8239, 1298, 1178, 7472, 1068, 4327, 1048, 8983, 1054, 1044, 1908, 1571, 1026, 12191, 1058, 8491, 1233, 1490, 9561, 6751, 1160, 4800, 3754, 1048, 2237, 8239, 1325, 14353, 1076, 1043, 2068, 1463, 2266, 1004, 5010, 1257, 25082, 12780, 4753, 1783, 3833, 83, 1294, 14508, 1009, 12513, 1114, 17180, 1175, 1138, 2859, 5649, 1048, 3598, 3102, 1132, 2864, 2754, 8471, 1009, 1783, 3833, 83, 1054, 14508, 1009, 4526, 1114, 17180, 1406, 1026, 1048, 3901, 1048, 2237, 8239, 1325, 14353, 7043, 1257, 1257, 1119, 32, 2034, 4268, 1160, 1327, 6453, 16013, 1068, 6534, 1175, 1138, 2859, 10863, 1048, 4032, 11478, 1492, 3978, 1160, 3634, 20708, 1114, 6586, 1406, 1566, 1048, 1124, 4268, 1160, 1327, 6453, 16013, 1068, 7319, 3144, 1257, 1424, 2068, 1114, 24395, 1006, 3484, 1160, 6672, 12638, 1257, 1257, 25082, 12780, 4753, 1783, 3833, 83, 1294, 14508, 1009, 12513, 1114, 17180, 2100, 1, 10628, 2335, 1898, 85, 3489, 3987, 3780, 1096, 9066, 1159, 1006, 18610, 1049, 2868, 11992, 1068, 1026, 2011, 18954, 1068, 1048, 1132, 5162, 6326, 4855, 17781, 1184, 5925, 2426, 9230, 1233, 4946, 1005, 1213, 1784, 1049, 10864, 1068, 3005, 5365, 10939, 1132, 19459, 30868, 1322, 14565, 17110, 29049, 1005, 1159, 1264, 10075, 150, 1006, 13956, 1009, 5629, 8317, 4666, 3428, 4807, 1365, 1132, 1646, 1009, 5238, 1006, 7240, 1365, 1132, 12685, 1064, 1814, 1005, 11706, 24814, 4666, 5239, 10204, 1381, 1371, 3654, 25220, 1026, 3756, 1159, 1124, 5629, 1009, 4946, 1005, 2011, 1068, 14565, 3911, 1046, 1124, 4856, 4275, 1322, 1026, 1784, 1049, 2011, 1005, 1159, 1058, 1155, 4888, 1726, 16721, 6162, 1312, 1159, 5699, 6933, 2012, 2691, 1151, 7837, 1302, 2223, 19592, 10939, 1026, 17211, 6191, 1271, 1026, 1590, 89, 1005, 1054, 2688, 31808, 1687, 6132, 75, 1072, 2251, 18, 1058, 14378, 1435, 1233, 16051, 1322, 1026, 5064, 4898, 10035, 20983, 1236, 1072, 2738, 1187, 1646, 1844, 3211, 19871, 1033, 10939, 1006, 7140, 1322, 1026, 2868, 11992, 1068, 1026, 2011, 6485, 6522, 1213, 15334, 12260, 7261, 1048, 4352, 71, 1569, 3443, 2432, 1400, 11883, 2743, 1009, 5297, 3911, 1157, 1159, 1026, 1592, 18954, 1068, 1048, 1132, 5162, 6326, 4855, 17781, 1184, 5925, 2426, 1890, 1026, 2568, 1009, 1598, 3803, 1006, 5034, 1494, 71, 5694, 1114, 4856, 1065, 1990, 1322, 1784, 1049, 2011, 1005, 1026, 5239, 1054, 6537, 6815, 1005, 19486, 1005, 1159, 2122, 7898, 10386, 1006, 1094, 9183, 1752, 1472, 1712, 1060, 4263, 1049, 2011, 2328, 1009, 1044, 2550, 1009, 2935, 3861, 1291, 1005, 1009, 8436, 2176, 23116, 1658, 2323, 1049, 18861, 2688, 1327, 1124, 2880, 19, 3208, 4507, 4777, 80, 8978, 18, 1784, 1049, 6730, 15484, 1026, 1590, 1678, 5064, 4898, 1, 10628, 2335, 1898, 71, 2123, 4396, 1736, 1333, 75, 1737, 73, 1669, 8606, 8482, 92, 78, 15, 1005, 1006, 2123, 4396, 1736, 1333, 75, 1737, 73, 1669, 2179, 1342, 8482, 92, 23000, 1327, 1124, 1184, 12082, 7692, 6132, 1452, 1043, 3596, 15133, 1272, 1114, 1317, 10960, 4128, 3097, 11132, 1072, 2251, 20, 4850, 2668, 1620, 1327, 2282, 8003, 1132, 16992, 19023, 3360, 1072, 4618, 1060, 5946, 2950, 1072, 3090, 1009, 21177, 1043, 14593, 1009, 11526, 1224, 8105, 3320, 1054, 1058, 24892, 1060, 3902, 1118, 21177, 1184, 10021, 1400, 1132, 1403, 80, 3119, 1708, 5716, 6493, 19942, 1159, 1403, 19306, 22480, 9673, 1009, 5319, 1006, 9821, 19512, 13188, 1049, 1614, 3817, 2816, 1213, 19840, 1130, 1094, 3484, 9821, 75, 17462, 1005, 15267, 3567, 3606, 19766, 2643, 3108, 1069, 5061, 1009, 2156, 1206, 1184, 18152, 1009, 1403, 80, 3119, 1708, 1114, 3902, 1118, 1094, 3484, 1184, 8403, 1005, 22443, 1054, 8198, 1213, 7176, 1187, 1403, 80, 3119, 1708, 6659, 3983, 3987, 5521, 1026, 3489, 2429, 16552, 1195, 9854, 1006, 12236, 1009, 5061, 1009, 9705, 1009, 1403, 80, 3119, 1708, 1072, 4465, 1060, 14923, 5716, 1453, 1009, 3398, 9821, 1193, 9767, 1391, 1717, 1006, 16072, 23924, 1118, 1064, 20, 6269, 1120, 1036, 1054, 1457, 2391, 1590, 1010, 4447, 72, 9211, 20, 1068, 26930, 1026, 4545, 1195, 13831, 1054, 2156, 1090, 1241, 1728, 19198, 3429, 19473, 1132, 1403, 80, 3119, 1708, 10604, 1081, 1342, 3414, 1241, 1349, 1268, 3434, 1053, 1085, 25449, 19, 5205, 7375, 1005, 3118, 1684, 1010, 1296, 1061, 1064, 1192, 8645, 1006, 3873, 1212, 15, 2627, 7577, 1054, 5061, 1009, 9705, 19545, 1005, 4488, 1212, 1126, 1463, 18810, 1009, 2971, 8401, 9460, 11, 1005, 13063, 17556, 1006, 15198, 3225, 1009, 1752, 1403, 80, 3119, 4289, 1006, 2822, 1009, 9526, 1026, 1853, 2380, 1680, 1159, 1224, 15198, 2939, 3424, 5513, 18959, 12172, 1043, 4081, 1963, 1342, 1596, 9370, 1159, 2417, 3603, 1005, 1664, 23961, 1596, 7191, 1402, 1054, 18275, 10402, 1132, 5513, 1596, 20346, 1054, 2182, 4440, 7085, 1102, 3534, 35, 28, 22153, 4335, 1349, 3603, 1963, 1342, 3995, 25331, 10604, 1081, 1342, 3414, 1241, 1349, 3118, 1684, 1010, 1296, 1061, 1064, 1192, 8645, 1006, 3873, 1212, 1349, 1268, 19957, 1085, 25449, 1175, 5205, 21566, 1005, 1124, 18152, 10604, 17, 83, 1212, 3414, 83, 1349, 10604, 17, 88, 19, 5205, 30, 3414, 88, 1349, 1025, 1212, 17, 88, 19, 5205, 30, 3873, 88, 15, 1005, 10604, 17, 83, 1212, 17, 88, 19, 5205, 30, 3414, 83, 88, 1349, 1463, 18810, 11092, 3980, 1041, 5010, 1132, 5513, 10979, 1094, 15198, 3964, 1357, 2290, 1311, 1625, 8711, 1145, 1005, 1475, 1312, 9417, 3229, 1596, 1005, 1088, 5817, 3259, 1068, 19040, 1049, 23560, 1009, 5913, 1049, 2386, 1049, 1098, 3499, 1382, 20, 6746, 1049, 23560, 1195, 13721, 1068, 1187, 1416, 1009, 26639, 5835, 2227, 3995, 1781, 2084, 1011, 1781, 2394, 1011, 1781, 2471, 1011, 1781, 27, 1005, 1011, 94, 1781, 5056, 1005, 13036, 1097, 2227, 1071, 1061, 19, 2084, 4266, 84, 19, 122, 18, 1030, 84, 76, 19, 122, 18, 2623, 8741, 1005, 2623, 9721, 15, 1118, 1011, 13134, 11615, 1789, 6732, 1019, 27040, 3995, 2841, 15, 1005, 1006, 2924, 6746, 1068, 14872, 1630, 3214, 6997, 9877, 1664, 1132, 5061, 3429, 17048, 31697, 2704, 4715, 1213, 4465, 1060, 2935, 1009, 2252, 1124, 26639, 5835, 2227, 1005, 1060, 13036, 1097, 1342, 1030, 84, 76, 19, 122, 18, 2097, 31697, 88, 2704, 12814, 1132, 6299, 1271, 26639, 5835, 2227, 1011, 94, 1781, 2081, 1011, 1781, 24, 1005, 1011, 1781, 27, 1005, 13036, 1097, 2227, 1030, 84, 76, 19, 122, 1005, 4266, 84, 19, 122, 1511, 4176, 2905, 1213, 2417, 3603, 20, 2247, 2668, 31697, 2704, 7217, 4465, 1049, 28140, 1905, 15070, 31288, 1043, 4465, 1049, 20366, 1060, 2779, 1009, 5049, 88, 5078, 1165, 1229, 2097, 1048, 31697, 88, 2704, 1318, 7217, 4465, 1072, 20366, 1009, 5049, 88, 5078, 1165, 1554, 1986, 5680, 23952, 5300, 1132, 5061, 1596, 23530, 1068, 4207, 10945 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6286, 4283, 2132, 4469, 1312, 1072, 3099, 1048, 1327, 2444, 21524, 1049, 1048, 9397, 1235, 3266, 2666, 1206, 4751, 1009, 1123, 60, 1240, 1248, 8659, 1257, 9340, 1048, 3348, 1508, 1616, 1664, 1132, 2864, 4229, 3711, 1298, 1178, 1026, 1901, 1009, 1123, 60, 4078, 1292, 1026, 1804, 7370, 4779, 20, 1257, 13295, 1783, 4343, 17414, 1094, 1807, 17412, 1009, 1235, 1531, 17206, 1054, 1094, 24749, 1026, 1048, 1381, 18981, 1048, 2764, 1046, 1668, 3182, 1206, 10067, 6286, 7055, 1068, 3171, 1072, 2386, 1009, 6730, 2177, 1927, 4114, 20, 3782, 3901, 1048, 1132, 19811, 19353, 1620, 1826, 1493, 1054, 10729, 1126, 1159, 28727, 1312, 1009, 9496, 9263, 1041, 1043, 1094, 6735, 1009, 11486, 1081, 30819, 4434, 19, 5828, 1009, 1664, 1132, 11982, 1229, 1005, 2383, 1444, 1480, 1009, 7975, 1206, 6727, 1916, 28294, 23714, 1009, 7975, 1318, 1327, 7383, 1580, 1005, 6118, 1278, 5262, 1068, 10596, 1006, 2323, 1009, 16139, 1054, 14832, 1009, 7948, 2051, 13291, 4457, 1142, 24911, 1318, 1068, 14126, 2127, 4022, 1233, 19706, 1271, 11504, 1060, 9319, 1049, 3867, 1901, 1005, 6919, 1013, 6546, 5281, 1005, 5850, 1054, 1456, 5942, 16877, 1918, 20, 30817, 1654, 7959, 1159, 7331, 1005, 1080, 8370, 1826, 20, 9649, 1014, 6794, 1009, 16320, 1114, 4375, 1049, 2481, 1005, 3689, 16766, 1118, 5850, 12632, 1185, 2682, 4592, 1010, 19006, 10187, 1006, 1151, 2994, 1068, 1456, 5418, 1010, 16877, 21320, 1118, 2991, 1565, 1062, 1888, 8124, 1054, 4053, 1596, 1251, 1361, 20090, 1391, 2328, 1009, 3700, 12353, 1009, 11486, 1081, 33, 2276, 18673, 1456, 4101, 2054, 2812, 1166, 1068, 1419, 1058, 1616, 6178, 2080, 1945, 1054, 16202, 1257, 11090, 1026, 14312, 32, 7806, 9396, 1096, 3344, 6600, 1009, 27904, 1060, 15727, 1252, 1341, 14173, 14412, 1313, 1189, 2737, 1005, 4148, 1009, 8623, 14626, 10158, 4111, 2986, 1005, 2858, 72, 4404, 1226, 29206, 1137, 4589, 3713, 1298, 1058, 12251, 1043, 1026, 1313, 1189, 2737, 1072, 28233, 26384, 2702, 1005, 9891, 20, 1257, 3204, 1096, 1044, 2025, 1223, 4434, 1009, 1044, 1187, 3794, 2653, 13248, 20, 14530, 1927, 18659, 1054, 8316, 1006, 7922, 1009, 3284, 1009, 3596, 3450, 1054, 7636, 17973, 12082, 1068, 6828, 25060, 4333, 1054, 4280, 1058, 1299, 9578, 3291, 1159, 1299, 1298, 11860, 1068, 1026, 2930, 11184, 6724, 1009, 13709, 1303, 1068, 6828, 3235, 5044, 5942, 16877, 1918, 1054, 4229, 3634, 6394, 2161, 1005, 21947, 18, 7519, 29181, 1026, 3099, 1184, 3866, 1091, 1005, 9290, 19, 4675, 73, 1778, 20, 4300, 1005, 12773, 16756, 7055, 1009, 5870, 5903, 9490, 6978, 1788, 11966, 1005, 6286, 7055, 1009, 7975, 1327, 2252, 11504, 1039, 8473, 2034, 8340, 1693, 8316, 8895, 1054, 22070, 1009, 6621, 1005, 28657, 1009, 6621, 1060, 1207, 12, 57, 1206, 5942, 16877, 1918, 1048, 14445, 1046, 7055, 5472, 9490, 1159, 9030, 1544, 1009, 1033, 23454, 18, 29528, 1009, 3111, 8837, 1206, 7953, 89, 1009, 7483, 29013, 2445, 6626, 1009, 1080, 8370, 20, 19202, 1161, 1009, 4639, 1009, 4885, 3156, 1100, 1159, 13208, 1009, 23457, 5227, 1544, 1009, 8079, 5584, 31977, 1206, 19597, 5282, 1009, 8079, 1009, 4214, 1327, 1044, 1160, 3577, 3870, 6041, 20, 19202, 1161, 14753, 1034, 1074, 1005, 1009, 3596, 13057, 1159, 5418, 1010, 1009, 1151, 2994, 1206, 1033, 4340, 1009, 11456, 1009, 4214, 1693, 7304, 1006, 1094, 4716, 1068, 1026, 15424, 14173, 23924, 1096, 1094, 8509, 3412, 3017, 1043, 6978, 1009, 20531, 1206, 1205, 56, 1005, 6286, 1009, 3538, 1788, 1485, 10433, 21893, 1006, 4022, 19706, 1976, 1178, 9803, 1726, 11504, 1060, 9319, 1049, 3867, 1901, 1068, 22567, 5281, 1005, 5850, 1054, 5942, 16877, 21320, 16722, 1026, 16320, 1005, 2096, 16658, 5850, 12632, 25051, 1159, 1006, 1151, 2994, 20, 1, 4714, 3748, 1044, 4902, 1005, 2449, 1048, 27045, 1407, 1024, 1006, 3484, 6672, 1068, 1006, 4960, 1986, 1026, 2859, 20, 19984, 32, 7027, 1132, 2864, 2539, 8471, 1009, 1783, 3833, 83, 1294, 14508, 1009, 4526, 1114, 17180, 20, 1084, 1365, 1044, 1005, 1761, 96, 1361, 1910, 1783, 1327, 2425, 7823, 6126, 6264, 1068, 4531, 1124, 15809, 1289, 4525, 1309, 1124, 1783, 3048, 1927, 15273, 29272, 1726, 6264, 20, 5126, 1327, 2054, 91, 1115, 1554, 1603, 1664, 15273, 1087, 3493, 1726, 1445, 4525, 1006, 8442, 2177, 1493, 1184, 1289, 5304, 2800, 4800, 4531, 1124, 15809, 1184, 31844, 37, 1142, 24911, 2429, 8263, 20, 2494, 17180, 1026, 12191, 8491, 1371, 1233, 7116, 20, 1868, 6420, 8880, 1005, 31952, 3634, 1664, 3647, 1026, 2790, 15053, 1060, 8442, 20, 2494, 3364, 1187, 1734, 13705, 1026, 12191, 8491, 1371, 1233, 1490, 9561, 10077, 1009, 22406, 1006, 1090, 5916, 10894, 9135, 1005, 6530, 1068, 1124, 2156, 7320, 20, 2458, 1208, 1068, 1006, 8643, 1005, 1068, 1006, 7116, 20, 7804, 1058, 1299, 1225, 5391, 1009, 1048, 1006, 8442, 1096, 5864, 18, 1096, 7079, 22406, 1006, 8442, 20, 1603, 1299, 3505, 3978, 6828, 1206, 1783, 1493, 22813, 1273, 11928, 16520, 1006, 22406, 1006, 8442, 20, 6629, 2315, 14745, 3794, 5089, 1006, 22406, 1006, 8442, 1043, 21053, 6629, 2315, 1927, 2997, 16288, 1044, 2631, 17216, 2034, 3978, 6828, 1160, 3634, 20708, 1114, 2296, 1377, 22502, 12155, 1138, 1048, 1160, 1096, 4918, 37, 18792, 32, 1063, 32, 10077, 1009, 5242, 1024, 1006, 1090, 5916, 10894, 9135, 1005, 6530, 1068, 1124, 2156, 7320, 20, 1106, 32, 1776, 2930, 1908, 1026, 12191, 8491, 1371, 1233, 1490, 9561, 25082, 12780, 4753, 1783, 3833, 83, 1294, 14508, 1009, 12513, 1114, 17180, 1119, 32, 2034, 4268, 1160, 1327, 6453, 16013, 1068, 6534, 4860, 8361, 2808, 1006, 3484, 1048, 1160, 1325, 6672, 18, 4803, 9066, 1752, 4169, 32, 1257, 1063, 32, 10077, 1009, 22406, 1006, 1090, 5916, 10894, 9135, 1005, 6530, 1068, 1124, 2156, 7320, 1175, 4378, 8239, 1325, 10758, 1009, 2303, 1043, 1026, 2859, 20, 2200, 11496, 3089, 8396, 1006, 9135, 1005, 6530, 1132, 1791, 10429, 1996, 1009, 22406, 1006, 8442, 20, 1257, 1106, 32, 1776, 2930, 1908, 1026, 12191, 8491, 1371, 1233, 8643, 1175, 1138, 2859, 5649, 1048, 1114, 3364, 1187, 3825, 1026, 12191, 8491, 1371, 1233, 21898, 1309, 1114, 17180, 18, 1026, 12191, 8491, 1371, 1233, 7116, 20, 1776, 2268, 2237, 8239, 1298, 1178, 7472, 1068, 4327, 1048, 8983, 1054, 1044, 1908, 1571, 1026, 12191, 1058, 8491, 1233, 1490, 9561, 6751, 1160, 4800, 3754, 1048, 2237, 8239, 1325, 14353, 1076, 1043, 2068, 1463, 2266, 1004, 5010, 1257, 25082, 12780, 4753, 1783, 3833, 83, 1294, 14508, 1009, 12513, 1114, 17180, 1175, 1138, 2859, 5649, 1048, 3598, 3102, 1132, 2864, 2754, 8471, 1009, 1783, 3833, 83, 1054, 14508, 1009, 4526, 1114, 17180, 1406, 1026, 1048, 3901, 1048, 2237, 8239, 1325, 14353, 7043, 1257, 1257, 1119, 32, 2034, 4268, 1160, 1327, 6453, 16013, 1068, 6534, 1175, 1138, 2859, 10863, 1048, 4032, 11478, 1492, 3978, 1160, 3634, 20708, 1114, 6586, 1406, 1566, 1048, 1124, 4268, 1160, 1327, 6453, 16013, 1068, 7319, 3144, 1257, 1424, 2068, 1114, 24395, 1006, 3484, 1160, 6672, 12638, 1257, 1257, 25082, 12780, 4753, 1783, 3833, 83, 1294, 14508, 1009, 12513, 1114, 17180, 2100, 1, 10628, 2335, 1898, 85, 3489, 3987, 3780, 1096, 9066, 1159, 1006, 18610, 1049, 2868, 11992, 1068, 1026, 2011, 18954, 1068, 1048, 1132, 5162, 6326, 4855, 17781, 1184, 5925, 2426, 9230, 1233, 4946, 1005, 1213, 1784, 1049, 10864, 1068, 3005, 5365, 10939, 1132, 19459, 30868, 1322, 14565, 17110, 29049, 1005, 1159, 1264, 10075, 150, 1006, 13956, 1009, 5629, 8317, 4666, 3428, 4807, 1365, 1132, 1646, 1009, 5238, 1006, 7240, 1365, 1132, 12685, 1064, 1814, 1005, 11706, 24814, 4666, 5239, 10204, 1381, 1371, 3654, 25220, 1026, 3756, 1159, 1124, 5629, 1009, 4946, 1005, 2011, 1068, 14565, 3911, 1046, 1124, 4856, 4275, 1322, 1026, 1784, 1049, 2011, 1005, 1159, 1058, 1155, 4888, 1726, 16721, 6162, 1312, 1159, 5699, 6933, 2012, 2691, 1151, 7837, 1302, 2223, 19592, 10939, 1026, 17211, 6191, 1271, 1026, 1590, 89, 1005, 1054, 2688, 31808, 1687, 6132, 75, 1072, 2251, 18, 1058, 14378, 1435, 1233, 16051, 1322, 1026, 5064, 4898, 10035, 20983, 1236, 1072, 2738, 1187, 1646, 1844, 3211, 19871, 1033, 10939, 1006, 7140, 1322, 1026, 2868, 11992, 1068, 1026, 2011, 6485, 6522, 1213, 15334, 12260, 7261, 1048, 4352, 71, 1569, 3443, 2432, 1400, 11883, 2743, 1009, 5297, 3911, 1157, 1159, 1026, 1592, 18954, 1068, 1048, 1132, 5162, 6326, 4855, 17781, 1184, 5925, 2426, 1890, 1026, 2568, 1009, 1598, 3803, 1006, 5034, 1494, 71, 5694, 1114, 4856, 1065, 1990, 1322, 1784, 1049, 2011, 1005, 1026, 5239, 1054, 6537, 6815, 1005, 19486, 1005, 1159, 2122, 7898, 10386, 1006, 1094, 9183, 1752, 1472, 1712, 1060, 4263, 1049, 2011, 2328, 1009, 1044, 2550, 1009, 2935, 3861, 1291, 1005, 1009, 8436, 2176, 23116, 1658, 2323, 1049, 18861, 2688, 1327, 1124, 2880, 19, 3208, 4507, 4777, 80, 8978, 18, 1784, 1049, 6730, 15484, 1026, 1590, 1678, 5064, 4898, 1, 10628, 2335, 1898, 71, 2123, 4396, 1736, 1333, 75, 1737, 73, 1669, 8606, 8482, 92, 78, 15, 1005, 1006, 2123, 4396, 1736, 1333, 75, 1737, 73, 1669, 2179, 1342, 8482, 92, 23000, 1327, 1124, 1184, 12082, 7692, 6132, 1452, 1043, 3596, 15133, 1272, 1114, 1317, 10960, 4128, 3097, 11132, 1072, 2251, 20, 4850, 2668, 1620, 1327, 2282, 8003, 1132, 16992, 19023, 3360, 1072, 4618, 1060, 5946, 2950, 1072, 3090, 1009, 21177, 1043, 14593, 1009, 11526, 1224, 8105, 3320, 1054, 1058, 24892, 1060, 3902, 1118, 21177, 1184, 10021, 1400, 1132, 1403, 80, 3119, 1708, 5716, 6493, 19942, 1159, 1403, 19306, 22480, 9673, 1009, 5319, 1006, 9821, 19512, 13188, 1049, 1614, 3817, 2816, 1213, 19840, 1130, 1094, 3484, 9821, 75, 17462, 1005, 15267, 3567, 3606, 19766, 2643, 3108, 1069, 5061, 1009, 2156, 1206, 1184, 18152, 1009, 1403, 80, 3119, 1708, 1114, 3902, 1118, 1094, 3484, 1184, 8403, 1005, 22443, 1054, 8198, 1213, 7176, 1187, 1403, 80, 3119, 1708, 6659, 3983, 3987, 5521, 1026, 3489, 2429, 16552, 1195, 9854, 1006, 12236, 1009, 5061, 1009, 9705, 1009, 1403, 80, 3119, 1708, 1072, 4465, 1060, 14923, 5716, 1453, 1009, 3398, 9821, 1193, 9767, 1391, 1717, 1006, 16072, 23924, 1118, 1064, 20, 6269, 1120, 1036, 1054, 1457, 2391, 1590, 1010, 4447, 72, 9211, 20, 1068, 26930, 1026, 4545, 1195, 13831, 1054, 2156, 1090, 1241, 1728, 19198, 3429, 19473, 1132, 1403, 80, 3119, 1708, 10604, 1081, 1342, 3414, 1241, 1349, 1268, 3434, 1053, 1085, 25449, 19, 5205, 7375, 1005, 3118, 1684, 1010, 1296, 1061, 1064, 1192, 8645, 1006, 3873, 1212, 15, 2627, 7577, 1054, 5061, 1009, 9705, 19545, 1005, 4488, 1212, 1126, 1463, 18810, 1009, 2971, 8401, 9460, 11, 1005, 13063, 17556, 1006, 15198, 3225, 1009, 1752, 1403, 80, 3119, 4289, 1006, 2822, 1009, 9526, 1026, 1853, 2380, 1680, 1159, 1224, 15198, 2939, 3424, 5513, 18959, 12172, 1043, 4081, 1963, 1342, 1596, 9370, 1159, 2417, 3603, 1005, 1664, 23961, 1596, 7191, 1402, 1054, 18275, 10402, 1132, 5513, 1596, 20346, 1054, 2182, 4440, 7085, 1102, 3534, 35, 28, 22153, 4335, 1349, 3603, 1963, 1342, 3995, 25331, 10604, 1081, 1342, 3414, 1241, 1349, 3118, 1684, 1010, 1296, 1061, 1064, 1192, 8645, 1006, 3873, 1212, 1349, 1268, 19957, 1085, 25449, 1175, 5205, 21566, 1005, 1124, 18152, 10604, 17, 83, 1212, 3414, 83, 1349, 10604, 17, 88, 19, 5205, 30, 3414, 88, 1349, 1025, 1212, 17, 88, 19, 5205, 30, 3873, 88, 15, 1005, 10604, 17, 83, 1212, 17, 88, 19, 5205, 30, 3414, 83, 88, 1349, 1463, 18810, 11092, 3980, 1041, 5010, 1132, 5513, 10979, 1094, 15198, 3964, 1357, 2290, 1311, 1625, 8711, 1145, 1005, 1475, 1312, 9417, 3229, 1596, 1005, 1088, 5817, 3259, 1068, 19040, 1049, 23560, 1009, 5913, 1049, 2386, 1049, 1098, 3499, 1382, 20, 6746, 1049, 23560, 1195, 13721, 1068, 1187, 1416, 1009, 26639, 5835, 2227, 3995, 1781, 2084, 1011, 1781, 2394, 1011, 1781, 2471, 1011, 1781, 27, 1005, 1011, 94, 1781, 5056, 1005, 13036, 1097, 2227, 1071, 1061, 19, 2084, 4266, 84, 19, 122, 18, 1030, 84, 76, 19, 122, 18, 2623, 8741, 1005, 2623, 9721, 15, 1118, 1011, 13134, 11615, 1789, 6732, 1019, 27040, 3995, 2841, 15, 1005, 1006, 2924, 6746, 1068, 14872, 1630, 3214, 6997, 9877, 1664, 1132, 5061, 3429, 17048, 31697, 2704, 4715, 1213, 4465, 1060, 2935, 1009, 2252, 1124, 26639, 5835, 2227, 1005, 1060, 13036, 1097, 1342, 1030, 84, 76, 19, 122, 18, 2097, 31697, 88, 2704, 12814, 1132, 6299, 1271, 26639, 5835, 2227, 1011, 94, 1781, 2081, 1011, 1781, 24, 1005, 1011, 1781, 27, 1005, 13036, 1097, 2227, 1030, 84, 76, 19, 122, 1005, 4266, 84, 19, 122, 1511, 4176, 2905, 1213, 2417, 3603, 20, 2247, 2668, 31697, 2704, 7217, 4465, 1049, 28140, 1905, 15070, 31288, 1043, 4465, 1049, 20366, 1060, 2779, 1009, 5049, 88, 5078, 1165, 1229, 2097, 1048, 31697, 88, 2704, 1318, 7217, 4465, 1072, 20366, 1009, 5049, 88, 5078, 1165, 1554, 1986, 5680, 23952, 5300, 1132, 5061, 1596, 23530, 1068, 4207, 10945 ]

[ 5107, 2888, 1066, 92, 5602, 1536, 1165, 5835, 2215, 2037, 4534, 1349, 3702, 8400, 1371, 2088, 1268, 1022, 17502, 1159, 1009, 5234, 27969, 1497, 11566, 1038, 88, 7121, 79, 3840, 5972, 2623, 5602, 1005, 9467, 1507, 1907, 5339, 3131, 1467, 14190, 2027, 1009, 1015, 1018, 2527, 7121, 1402, 1009, 30364, 1015, 1018, 2527, 7121, 1402, 1009, 16652, 17209, 1005, 9632, 15609, 6480, 2081, 1664, 1043, 21750, 2236, 31190, 1096, 1006, 3865, 1060, 6167, 4008, 1009, 25946, 1009, 1011, 1653, 14177, 2663, 9737, 15, 1187, 1064, 2746, 4420, 1229, 7511, 1006, 2128, 8247, 1078, 73, 21, 19912, 9632, 2787, 6439, 31789, 9632, 2787, 1327, 22241, 1124, 15935, 1009, 1703, 1075, 1021, 5602, 1086, 1316, 22548, 5602, 12045, 3930, 1497, 1005, 1172, 6673, 5602, 1233, 13886, 1049, 2446, 1009, 4577, 1009, 29003, 1060, 13667, 1049, 1311, 1040, 1364, 1876, 1005, 31325, 1049, 17899, 1365, 1734, 3124, 4846, 25586, 2668, 1132, 1064, 2746, 4420, 1010, 1693, 1178, 1009, 5154, 1086, 1316, 89, 30737, 1206, 10450, 1794, 1961, 1206, 1703, 1075, 1021, 5803, 2286, 2088, 1064, 2746, 4420, 1010, 7329, 18724, 4728, 1201, 2178, 3910, 13058, 1009, 30364, 1006, 2991, 1049, 3143, 1182, 1130, 1177, 12787, 16265, 1943, 8872, 85, 4226, 88, 2230, 1471, 1349, 29680, 1177, 1005, 4933, 1029, 4776, 1096, 5413, 1318, 9877, 1132, 9632, 2253, 19, 1498, 4893, 1006, 3928, 27773, 1497, 1005, 1006, 3928, 5788, 1497, 1071, 7121, 1402, 1009, 2425, 1209, 1043, 6847, 6972, 13093, 1565, 1776, 13387, 1620, 2464, 3702, 1054, 2357, 1132, 1064, 2746, 4420, 1010, 2500, 5254, 6167, 18062, 1777, 4271, 1105, 88, 5078, 1391, 1349, 1132, 9586, 25035, 1271, 17991, 2716, 1820, 1273, 1159, 1124, 1251, 4146, 13036, 3273, 1693, 1178, 1005, 1088, 88, 5078, 1391, 2474, 1945, 1363, 1023, 24854, 6593, 6897, 3161, 1009, 1142, 2746, 4420, 85, 9977, 9197, 1023, 24854, 33, 1668, 1096, 14350, 1357, 20896, 1271, 9632, 15609, 1072, 7346, 1049, 7108, 1048, 1992, 6598, 1040, 1132, 22250, 1005, 6970, 1266, 1229, 16629, 4465, 1060, 7984, 19131, 1005, 1118, 16105, 14140, 14688, 1023, 9070, 1071, 1019, 1219, 1312, 15, 1233, 31926, 1728, 3204, 14316, 1096, 28401, 3587, 1357, 1015, 1690, 1961, 3121, 1213, 1235, 5203, 1054, 1064, 151, 1498, 1016, 1048, 4099, 11834, 5930, 1140, 1322, 3131, 1271, 1569, 16395, 3110, 1396, 1777, 8018, 1735, 2463, 1532, 2500, 5254, 6167, 31247, 1055, 1009, 1011, 1653, 14177, 10045, 2445, 2663, 1126, 1082, 15902, 1344, 1349, 1620, 1841, 1327, 9673, 1009, 24382, 24067, 28095, 5717, 1273, 1006, 2991, 1060, 5809, 6720, 1005, 1060, 17947, 19586, 3336, 5841, 4008, 25968, 1054, 1307, 6863, 32, 3321, 1040, 7640, 3023, 19097, 10423, 1048, 4099, 11834, 19469, 1279, 1072, 31852, 1127, 3784, 1680, 19519, 1629, 1048, 12219, 1197, 1006, 1006, 4372, 1005, 1200, 1399, 1112, 1009, 3111, 1071, 1262, 2774, 1233, 20010, 1271, 14510, 1349, 1005, 4399, 168, 12976, 25946, 1009, 3111, 1114, 7202, 1187, 9632, 2253, 19, 1498, 4893, 1071, 1262, 2774, 1233, 2033, 2063, 1068, 7156, 15, 7542, 5903, 3890, 11997, 27955, 1005, 3454, 5696, 1132, 1064, 2746, 4420, 1010, 1596, 18743, 1006, 1044, 3838, 2568, 1009, 5409, 90, 8049, 2094, 1114, 1428, 1006, 6823, 1009, 7108, 1213, 2729, 1009, 1910, 26086, 1195, 5937, 1196, 1005, 1859, 19512, 1089, 96, 1140, 1118, 9449, 15155, 2622, 3368, 11132, 5513, 19644, 1010, 8519, 13911, 13764, 1598, 1122, 1273, 1502, 1725, 3063, 1273, 1765, 28765, 4534, 1565, 7177, 21315, 1311, 1040, 1364, 5120, 1048, 12860, 17462, 16606, 1009, 28082, 11419, 1043, 1006, 5409, 90, 8049, 1112, 1327, 1006, 6375, 1187, 1064, 2746, 4420, 1010, 2203, 3890, 1072, 1235, 2120, 1081, 1172, 4142, 16046, 3995, 1046, 1312, 15, 2574, 8421, 3259, 1005, 13863, 1009, 11522, 1591, 1093, 1377, 3423, 2668, 3321, 1040, 13058, 1009, 9632, 2787, 9900, 17323, 1213, 2729, 1049, 7346, 33, 15514, 13547, 1009, 1456, 11133, 1166, 11275, 1368, 3613, 1206, 9105, 3498, 1529, 2077, 3613, 3929, 1680, 1159, 4885, 13058, 1009, 5591, 1133, 1054, 2869, 1233, 9632, 20016, 3027, 1054, 4350, 1048, 1026, 5591, 1133, 1096, 1216, 79, 23456, 1095, 1519, 1213, 1429, 1013, 1303, 1357, 1200, 1399, 1112, 1206, 1005, 30673, 1060, 3111, 1005, 5680, 27605, 1596, 5177, 1278, 1311, 1040, 1364, 6816, 1118, 1687, 2474, 1888, 1383, 11343, 27605, 3321, 1040, 1307, 7593, 1009, 23107, 3145, 32, 1537, 2023, 18629, 6958, 13578, 1233, 14190, 2027, 1009, 1172, 6673, 1497, 1349, 9110, 1054, 5852, 1206, 9423, 1072, 27313, 18743, 1233, 4863, 20919, 10283, 18188, 1013, 1362, 6958, 13578, 1233, 14190, 2027, 1009, 12045, 3930, 1497, 1349, 9110, 1054, 5852, 1206, 9423, 1072, 27313, 18743, 1233, 1712, 20919, 10749, 20988, 2585, 27605, 1009, 1359, 9601, 1206, 17825, 1100, 5754, 1448, 2140, 17921, 3121, 1213, 1322, 14662, 14871, 14350, 1356, 12929, 13058, 1009, 7401, 28121, 33, 1327, 25251, 1054, 5852, 1009, 8393, 9061, 1005, 1043, 3593, 8873, 31179, 2485, 1006, 2991, 1060, 2413, 2709, 1049, 1561, 1206, 1009, 5852, 1009, 8393, 10942, 1009, 11332, 1658, 1722, 5068, 19675, 16199, 2350, 9683, 17865, 1132, 1064, 2746, 4420, 1010, 2829, 9943, 1098, 19979, 1891, 1166, 1068, 1006, 4751, 26271, 1126, 1054, 6375, 1009, 1224, 1251, 6818, 1005, 6167, 18062, 1777, 20, 11938, 12552, 1132, 16992, 1072, 17898, 3530, 2649, 4901, 1596, 6419, 15329, 1063, 1251, 6818, 18, 1005, 5910, 1091, 3910, 13058, 1009, 20406, 10045, 1629, 4519, 7121, 1221, 1726, 7156, 1349, 1195, 7336, 1236, 1357, 6446, 1009, 12964, 1304, 33, 2097, 1006, 6167, 18062, 1777, 1195, 7336, 1236, 1356, 3704, 1147, 1187, 18062, 1724, 1708, 6623, 5345, 1776, 3633, 5847, 1006, 6167, 4008, 1009, 25946, 1009, 1011, 1653, 14177, 2663, 9737, 4863, 1048, 2128, 8247, 1078, 73, 21, 19912, 9632, 2787, 15, 1225, 2281, 1638, 8467, 1140, 1357, 11765, 1009, 7807, 1009, 12417, 1047, 3344, 4776, 10807, 1026, 29525, 1009, 7401, 28121, 1096, 12242, 16364, 5436, 85, 7462, 1049, 7807, 9387, 1447, 1341, 1009, 12417, 1047, 1349, 1005, 1118, 2710, 1094, 1062, 9737, 2797, 15111, 4932, 2357, 1365, 1360, 7252, 1254, 8247, 1078, 73, 21, 19912, 15, 18954, 1068, 24279, 1006, 1062, 9737, 4612, 1060, 10587, 28159, 8448, 1175, 1158, 16306, 15, 1005, 5319, 1006, 25946, 1187, 20387, 1072, 7108, 2893, 25063, 5640, 1064, 2746, 4420, 1010, 16061, 1006, 1178, 9912, 1054, 16169, 1049, 27313, 1184, 1325, 1608, 1005, 19811, 1071, 1212, 1577, 1006, 9948, 19606, 12172, 1349, 2463, 1532, 1928, 20954, 1820, 1229, 1294, 2688, 1026, 6975, 16824, 1009, 3111, 1096, 1244, 1162, 1037, 1153, 5328, 5177, 8882, 1006, 1311, 1040, 1364, 1990, 1005, 1859, 19512, 1089, 96, 1112, 1049, 4577, 2120, 3214, 3617, 1766, 16169, 1054, 4380, 20462, 1213, 1957, 5957, 175, 3363, 4271, 1070, 1020, 1017, 1009, 3111, 15, 1005, 1006, 1125, 1167, 94, 1149, 1060, 8821, 3017, 1206, 4473, 1072, 7711, 1187, 3073, 17670, 1482, 21481, 1324, 1294, 16169, 1184, 1700, 2445, 1005, 14161, 1184, 22461, 2463, 1532, 1005, 1088, 20954, 1820, 1229, 1043, 14190, 2027, 1009, 5684, 1005, 1209, 1727, 8519, 1054, 3128, 18877, 1745, 1061, 15059, 1010, 1005, 1125, 1167, 94, 1229, 5639, 6071, 2232, 1401, 18200, 1206, 1009, 1334, 1031, 1918, 11499, 77, 9974, 1011, 169, 1099, 30735, 1005, 2742, 8864, 1023, 1321, 92, 1654, 21, 1029, 3119, 1654, 1349, 1132, 27605, 16061, 1124, 1178, 1184, 5162, 1005, 3846, 2585, 1159, 9604, 1398, 1078, 1100, 1005, 13400, 1398, 7260, 16794, 1108, 1398, 1078, 1100, 20260, 9877, 2089, 13463, 1009, 30316, 7177, 1142, 2746, 4420, 85, 1096, 1006, 4272, 1009, 1712, 10068, 21260, 1049, 1561, 1054, 2869, 1679, 4810, 4267, 1009, 1638, 1554, 1776, 5108, 12352, 16823, 1118, 2916, 1009, 31588, 2744, 1009, 17919, 2106, 1847, 1048, 7780, 2744, 1009, 24252, 1826, 1054, 5449, 15798, 5153, 1858, 1060, 31441, 2002, 20462, 1006, 26072, 5900, 11, 1187, 27605, 22522, 3552, 2236, 1009, 6151, 4004, 7795, 2023, 9595, 2414, 6795, 6025, 3313, 1529, 1517, 1219, 24521, 1142, 2746, 4420, 85, 10660, 1759, 14713, 1043, 9197, 1745, 4342, 1061, 4593, 1444, 1509, 1303, 5431, 1727, 1049, 7108, 1511, 1058, 3426, 3023, 1054, 9105, 3498, 1529, 2077, 3613, 1680, 14909, 1349, 1005, 19890, 1063, 24929, 1221, 1206, 3284, 1009, 15287, 3666, 7303, 4260, 1006, 1782, 1086, 10362, 2541, 1495, 6617, 8247, 1009, 4147, 2485, 13522, 1114, 1751, 4260, 1049, 19890, 18706, 23107, 3700, 1146, 1140, 26621, 1072, 1795, 1127, 20433, 5573, 1071, 2525, 27, 1941, 31810, 1206, 1184, 16604, 20, 13118, 1532, 13876, 1054, 3905, 1288, 7838, 9440, 4631, 10350, 1221, 1552, 74, 1221, 10283, 1142, 2746, 4420, 85, 18629, 1759, 14713, 1043, 1795, 1127, 20433, 11687, 22344, 63, 56, 1206, 1184, 9601, 1114, 1712, 1751, 1187, 4181, 3114, 8247, 1049, 19890, 1106, 12559, 1142, 2746, 4420, 85, 18188, 1013, 1362, 1759, 14713, 1043, 1795, 1127, 20433, 5573, 1071, 2525, 27, 1941, 31810, 1206, 1184, 16604, 1114, 1712, 1751, 1187, 4181, 3114, 8247, 1049, 19890, 1106, 1048, 1160, 1058, 15406, 1202, 1114, 3161, 10660, 10749, 1142, 2746, 4420, 85, 18629, 3840, 1183, 1013, 1362, 1605, 9657, 27605, 1009, 5281, 9601, 30325, 11103, 1312, 8826, 16604, 27042, 6410, 1524, 1312, 1048, 1160, 1058, 15406, 1202, 1463, 9694, 7767, 31122, 6108, 1318, 1257, 7807, 6278, 1009, 26795, 1009, 4153, 1010, 3160, 1171, 2404, 1, 9769, 1107, 8681, 1096, 1094, 1641, 1060, 4149, 5062, 1072, 4657, 1009, 22184, 1051, 5537, 177, 72, 10406, 1324, 2413, 7324, 1009, 13125, 83, 3333, 18, 2497, 1009, 31756, 1049, 3826, 11412, 1223, 76, 11119, 25538, 1060, 31756, 1049, 3826, 11412, 1223, 76, 11119, 1, 1138, 7558, 62, 3272, 6036, 22815, 29267, 1009, 25438, 1046, 18592, 81, 1241, 8224, 6036, 1096, 1044, 7239, 1009, 14196, 27762, 18960, 1016, 6344, 1312, 1114, 2786, 25312, 25438, 1627, 8830, 4485, 1159, 25438, 1046, 23972, 1955, 23531, 5339, 3131, 19032, 1006, 10510, 10038, 1048, 1058, 4312, 3581, 1507, 1525, 1072, 1531, 1101, 1009, 9864, 1009, 6796, 1026, 7239, 7558, 62, 1096, 7662, 2691, 4496, 3235, 2083, 43, 17500, 1187, 13267, 17832, 1383, 1707, 25312, 5, 135, 1037, 7644, 1009, 10899, 1060, 5253, 1, 5196, 3397, 177, 3084, 1096, 1094, 1641, 1060, 4149, 5062, 1072, 4657, 1009, 1073, 7486, 72, 1320, 18, 2413, 7324, 1009, 13125, 83, 3333, 18, 2497, 1009, 31756, 1049, 3826, 11412, 1223, 76, 11119, 25538, 1060, 31756, 1049, 3826, 11412, 1223, 76, 11119, 1, 27736, 1398, 7260, 1096, 1094, 4272, 24776, 1118, 27605, 25251, 1054, 3563, 1009, 15267, 1069, 2232, 2705, 73, 1303, 5434, 1068, 4099, 1031, 1787, 1006, 6937, 1005, 16606, 1049, 6102, 2170, 1118, 5910, 4195, 14536, 1213, 7108, 2463, 1532, 23107, 1251, 23475, 1032, 3567, 2034, 1033, 9858, 19849, 16820, 12036, 1009, 13917, 1049, 27736, 1398, 7260, 24138, 1046, 21537, 5247, 3548, 1872, 4007, 92, 10737, 22844, 11338, 1005, 1050, 31529, 1273, 1847, 3530, 20976, 2445, 33, 1096, 1274, 2006, 1006, 13917, 1009, 1044, 3910, 13058, 1009, 7401, 28121, 3121, 1233, 27665, 3131, 16511, 1357, 1901, 94, 1034, 2474, 1408, 6556, 1257, 8361, 1006, 17657, 1990, 1009, 1044, 7108, 1159, 1086, 1108, 1398, 1078, 1100, 1096, 8443, 1006, 7064, 1009, 1044, 19890, 6166, 10277, 1847, 1989, 7916, 2309, 4496, 11278, 32, 1537, 2023, 6324, 2876, 1118, 4577, 1009, 2073, 3161, 13396, 82, 1276, 1999, 1062, 1888, 4208, 12800, 1206, 1251, 23475, 1032, 1312, 15652, 1044, 3563, 1057, 18884, 14350, 1356, 1155, 1165, 1303, 15267, 1069, 1049, 7108, 1276, 2308, 3682, 2699, 1206, 1160, 1009, 15653, 1295, 1166, 1114, 6317, 1009, 21356, 1112, 1049, 18128, 156, 1078, 2019, 4631, 33, 1257, 2567, 24873, 14170, 16618, 1206, 4506, 1525, 1276, 2639, 3682, 2699, 1206, 1160, 1009, 1536, 1203, 1497, 8826, 24051, 1212, 1203, 1497, 1054, 17412, 7511, 1233, 26449, 11920, 1187, 11278, 12760, 1096, 3654, 1318, 1048, 1026, 19890, 6166, 1089, 2894, 1694, 1726, 4496, 19517, 2083, 3006, 4789, 27058, 1712, 1049, 1048, 1984, 8247, 1276, 3162, 13823, 1787, 1371, 2453, 1009, 3886, 8247, 1006, 2323, 1060, 7202, 1049, 7108, 33, 1206, 7909, 1371, 1365, 3886, 1005, 9377, 8247, 1511, 1325, 24678, 1009, 19890, 17954, 1206, 19890, 11341, 1206, 19890, 1207, 6567, 5148, 14229, 96, 1112, 3705, 2568, 1009, 6166, 1089, 96, 1112, 18168, 1114, 15580, 1009, 5281, 1251, 23475, 1032, 3273, 6658, 1312, 1206, 1116, 23181, 3273, 27064, 1357, 6937, 1049, 30364, 2237, 1096, 25479, 1118, 6970, 19, 11107, 7639, 3925, 12172, 1356, 3563, 1210, 7121, 1221, 17017, 1072, 1155, 1165, 1303, 13074, 1206, 1957, 2014, 6633, 25185, 2565, 1006, 6937, 1005, 1638, 1529, 8237, 1009, 6102, 6293, 23456, 1095, 1519, 1006, 1624, 7440, 1112, 1005, 1057, 1255, 73, 1192, 3155, 1009, 1456, 15662, 1072, 7346, 1049, 30316, 14887, 10101, 2089, 24445, 19849, 1719, 1820, 1273, 1086, 1108, 1398, 14713, 7610, 1040, 1159, 4208, 3281, 14713, 3454, 4511, 1391, 15, 1327, 9912, 1318, 1054, 3905, 1009, 1463, 3522, 1400, 4290, 1114 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5107, 2888, 1066, 92, 5602, 1536, 1165, 5835, 2215, 2037, 4534, 1349, 3702, 8400, 1371, 2088, 1268, 1022, 17502, 1159, 1009, 5234, 27969, 1497, 11566, 1038, 88, 7121, 79, 3840, 5972, 2623, 5602, 1005, 9467, 1507, 1907, 5339, 3131, 1467, 14190, 2027, 1009, 1015, 1018, 2527, 7121, 1402, 1009, 30364, 1015, 1018, 2527, 7121, 1402, 1009, 16652, 17209, 1005, 9632, 15609, 6480, 2081, 1664, 1043, 21750, 2236, 31190, 1096, 1006, 3865, 1060, 6167, 4008, 1009, 25946, 1009, 1011, 1653, 14177, 2663, 9737, 15, 1187, 1064, 2746, 4420, 1229, 7511, 1006, 2128, 8247, 1078, 73, 21, 19912, 9632, 2787, 6439, 31789, 9632, 2787, 1327, 22241, 1124, 15935, 1009, 1703, 1075, 1021, 5602, 1086, 1316, 22548, 5602, 12045, 3930, 1497, 1005, 1172, 6673, 5602, 1233, 13886, 1049, 2446, 1009, 4577, 1009, 29003, 1060, 13667, 1049, 1311, 1040, 1364, 1876, 1005, 31325, 1049, 17899, 1365, 1734, 3124, 4846, 25586, 2668, 1132, 1064, 2746, 4420, 1010, 1693, 1178, 1009, 5154, 1086, 1316, 89, 30737, 1206, 10450, 1794, 1961, 1206, 1703, 1075, 1021, 5803, 2286, 2088, 1064, 2746, 4420, 1010, 7329, 18724, 4728, 1201, 2178, 3910, 13058, 1009, 30364, 1006, 2991, 1049, 3143, 1182, 1130, 1177, 12787, 16265, 1943, 8872, 85, 4226, 88, 2230, 1471, 1349, 29680, 1177, 1005, 4933, 1029, 4776, 1096, 5413, 1318, 9877, 1132, 9632, 2253, 19, 1498, 4893, 1006, 3928, 27773, 1497, 1005, 1006, 3928, 5788, 1497, 1071, 7121, 1402, 1009, 2425, 1209, 1043, 6847, 6972, 13093, 1565, 1776, 13387, 1620, 2464, 3702, 1054, 2357, 1132, 1064, 2746, 4420, 1010, 2500, 5254, 6167, 18062, 1777, 4271, 1105, 88, 5078, 1391, 1349, 1132, 9586, 25035, 1271, 17991, 2716, 1820, 1273, 1159, 1124, 1251, 4146, 13036, 3273, 1693, 1178, 1005, 1088, 88, 5078, 1391, 2474, 1945, 1363, 1023, 24854, 6593, 6897, 3161, 1009, 1142, 2746, 4420, 85, 9977, 9197, 1023, 24854, 33, 1668, 1096, 14350, 1357, 20896, 1271, 9632, 15609, 1072, 7346, 1049, 7108, 1048, 1992, 6598, 1040, 1132, 22250, 1005, 6970, 1266, 1229, 16629, 4465, 1060, 7984, 19131, 1005, 1118, 16105, 14140, 14688, 1023, 9070, 1071, 1019, 1219, 1312, 15, 1233, 31926, 1728, 3204, 14316, 1096, 28401, 3587, 1357, 1015, 1690, 1961, 3121, 1213, 1235, 5203, 1054, 1064, 151, 1498, 1016, 1048, 4099, 11834, 5930, 1140, 1322, 3131, 1271, 1569, 16395, 3110, 1396, 1777, 8018, 1735, 2463, 1532, 2500, 5254, 6167, 31247, 1055, 1009, 1011, 1653, 14177, 10045, 2445, 2663, 1126, 1082, 15902, 1344, 1349, 1620, 1841, 1327, 9673, 1009, 24382, 24067, 28095, 5717, 1273, 1006, 2991, 1060, 5809, 6720, 1005, 1060, 17947, 19586, 3336, 5841, 4008, 25968, 1054, 1307, 6863, 32, 3321, 1040, 7640, 3023, 19097, 10423, 1048, 4099, 11834, 19469, 1279, 1072, 31852, 1127, 3784, 1680, 19519, 1629, 1048, 12219, 1197, 1006, 1006, 4372, 1005, 1200, 1399, 1112, 1009, 3111, 1071, 1262, 2774, 1233, 20010, 1271, 14510, 1349, 1005, 4399, 168, 12976, 25946, 1009, 3111, 1114, 7202, 1187, 9632, 2253, 19, 1498, 4893, 1071, 1262, 2774, 1233, 2033, 2063, 1068, 7156, 15, 7542, 5903, 3890, 11997, 27955, 1005, 3454, 5696, 1132, 1064, 2746, 4420, 1010, 1596, 18743, 1006, 1044, 3838, 2568, 1009, 5409, 90, 8049, 2094, 1114, 1428, 1006, 6823, 1009, 7108, 1213, 2729, 1009, 1910, 26086, 1195, 5937, 1196, 1005, 1859, 19512, 1089, 96, 1140, 1118, 9449, 15155, 2622, 3368, 11132, 5513, 19644, 1010, 8519, 13911, 13764, 1598, 1122, 1273, 1502, 1725, 3063, 1273, 1765, 28765, 4534, 1565, 7177, 21315, 1311, 1040, 1364, 5120, 1048, 12860, 17462, 16606, 1009, 28082, 11419, 1043, 1006, 5409, 90, 8049, 1112, 1327, 1006, 6375, 1187, 1064, 2746, 4420, 1010, 2203, 3890, 1072, 1235, 2120, 1081, 1172, 4142, 16046, 3995, 1046, 1312, 15, 2574, 8421, 3259, 1005, 13863, 1009, 11522, 1591, 1093, 1377, 3423, 2668, 3321, 1040, 13058, 1009, 9632, 2787, 9900, 17323, 1213, 2729, 1049, 7346, 33, 15514, 13547, 1009, 1456, 11133, 1166, 11275, 1368, 3613, 1206, 9105, 3498, 1529, 2077, 3613, 3929, 1680, 1159, 4885, 13058, 1009, 5591, 1133, 1054, 2869, 1233, 9632, 20016, 3027, 1054, 4350, 1048, 1026, 5591, 1133, 1096, 1216, 79, 23456, 1095, 1519, 1213, 1429, 1013, 1303, 1357, 1200, 1399, 1112, 1206, 1005, 30673, 1060, 3111, 1005, 5680, 27605, 1596, 5177, 1278, 1311, 1040, 1364, 6816, 1118, 1687, 2474, 1888, 1383, 11343, 27605, 3321, 1040, 1307, 7593, 1009, 23107, 3145, 32, 1537, 2023, 18629, 6958, 13578, 1233, 14190, 2027, 1009, 1172, 6673, 1497, 1349, 9110, 1054, 5852, 1206, 9423, 1072, 27313, 18743, 1233, 4863, 20919, 10283, 18188, 1013, 1362, 6958, 13578, 1233, 14190, 2027, 1009, 12045, 3930, 1497, 1349, 9110, 1054, 5852, 1206, 9423, 1072, 27313, 18743, 1233, 1712, 20919, 10749, 20988, 2585, 27605, 1009, 1359, 9601, 1206, 17825, 1100, 5754, 1448, 2140, 17921, 3121, 1213, 1322, 14662, 14871, 14350, 1356, 12929, 13058, 1009, 7401, 28121, 33, 1327, 25251, 1054, 5852, 1009, 8393, 9061, 1005, 1043, 3593, 8873, 31179, 2485, 1006, 2991, 1060, 2413, 2709, 1049, 1561, 1206, 1009, 5852, 1009, 8393, 10942, 1009, 11332, 1658, 1722, 5068, 19675, 16199, 2350, 9683, 17865, 1132, 1064, 2746, 4420, 1010, 2829, 9943, 1098, 19979, 1891, 1166, 1068, 1006, 4751, 26271, 1126, 1054, 6375, 1009, 1224, 1251, 6818, 1005, 6167, 18062, 1777, 20, 11938, 12552, 1132, 16992, 1072, 17898, 3530, 2649, 4901, 1596, 6419, 15329, 1063, 1251, 6818, 18, 1005, 5910, 1091, 3910, 13058, 1009, 20406, 10045, 1629, 4519, 7121, 1221, 1726, 7156, 1349, 1195, 7336, 1236, 1357, 6446, 1009, 12964, 1304, 33, 2097, 1006, 6167, 18062, 1777, 1195, 7336, 1236, 1356, 3704, 1147, 1187, 18062, 1724, 1708, 6623, 5345, 1776, 3633, 5847, 1006, 6167, 4008, 1009, 25946, 1009, 1011, 1653, 14177, 2663, 9737, 4863, 1048, 2128, 8247, 1078, 73, 21, 19912, 9632, 2787, 15, 1225, 2281, 1638, 8467, 1140, 1357, 11765, 1009, 7807, 1009, 12417, 1047, 3344, 4776, 10807, 1026, 29525, 1009, 7401, 28121, 1096, 12242, 16364, 5436, 85, 7462, 1049, 7807, 9387, 1447, 1341, 1009, 12417, 1047, 1349, 1005, 1118, 2710, 1094, 1062, 9737, 2797, 15111, 4932, 2357, 1365, 1360, 7252, 1254, 8247, 1078, 73, 21, 19912, 15, 18954, 1068, 24279, 1006, 1062, 9737, 4612, 1060, 10587, 28159, 8448, 1175, 1158, 16306, 15, 1005, 5319, 1006, 25946, 1187, 20387, 1072, 7108, 2893, 25063, 5640, 1064, 2746, 4420, 1010, 16061, 1006, 1178, 9912, 1054, 16169, 1049, 27313, 1184, 1325, 1608, 1005, 19811, 1071, 1212, 1577, 1006, 9948, 19606, 12172, 1349, 2463, 1532, 1928, 20954, 1820, 1229, 1294, 2688, 1026, 6975, 16824, 1009, 3111, 1096, 1244, 1162, 1037, 1153, 5328, 5177, 8882, 1006, 1311, 1040, 1364, 1990, 1005, 1859, 19512, 1089, 96, 1112, 1049, 4577, 2120, 3214, 3617, 1766, 16169, 1054, 4380, 20462, 1213, 1957, 5957, 175, 3363, 4271, 1070, 1020, 1017, 1009, 3111, 15, 1005, 1006, 1125, 1167, 94, 1149, 1060, 8821, 3017, 1206, 4473, 1072, 7711, 1187, 3073, 17670, 1482, 21481, 1324, 1294, 16169, 1184, 1700, 2445, 1005, 14161, 1184, 22461, 2463, 1532, 1005, 1088, 20954, 1820, 1229, 1043, 14190, 2027, 1009, 5684, 1005, 1209, 1727, 8519, 1054, 3128, 18877, 1745, 1061, 15059, 1010, 1005, 1125, 1167, 94, 1229, 5639, 6071, 2232, 1401, 18200, 1206, 1009, 1334, 1031, 1918, 11499, 77, 9974, 1011, 169, 1099, 30735, 1005, 2742, 8864, 1023, 1321, 92, 1654, 21, 1029, 3119, 1654, 1349, 1132, 27605, 16061, 1124, 1178, 1184, 5162, 1005, 3846, 2585, 1159, 9604, 1398, 1078, 1100, 1005, 13400, 1398, 7260, 16794, 1108, 1398, 1078, 1100, 20260, 9877, 2089, 13463, 1009, 30316, 7177, 1142, 2746, 4420, 85, 1096, 1006, 4272, 1009, 1712, 10068, 21260, 1049, 1561, 1054, 2869, 1679, 4810, 4267, 1009, 1638, 1554, 1776, 5108, 12352, 16823, 1118, 2916, 1009, 31588, 2744, 1009, 17919, 2106, 1847, 1048, 7780, 2744, 1009, 24252, 1826, 1054, 5449, 15798, 5153, 1858, 1060, 31441, 2002, 20462, 1006, 26072, 5900, 11, 1187, 27605, 22522, 3552, 2236, 1009, 6151, 4004, 7795, 2023, 9595, 2414, 6795, 6025, 3313, 1529, 1517, 1219, 24521, 1142, 2746, 4420, 85, 10660, 1759, 14713, 1043, 9197, 1745, 4342, 1061, 4593, 1444, 1509, 1303, 5431, 1727, 1049, 7108, 1511, 1058, 3426, 3023, 1054, 9105, 3498, 1529, 2077, 3613, 1680, 14909, 1349, 1005, 19890, 1063, 24929, 1221, 1206, 3284, 1009, 15287, 3666, 7303, 4260, 1006, 1782, 1086, 10362, 2541, 1495, 6617, 8247, 1009, 4147, 2485, 13522, 1114, 1751, 4260, 1049, 19890, 18706, 23107, 3700, 1146, 1140, 26621, 1072, 1795, 1127, 20433, 5573, 1071, 2525, 27, 1941, 31810, 1206, 1184, 16604, 20, 13118, 1532, 13876, 1054, 3905, 1288, 7838, 9440, 4631, 10350, 1221, 1552, 74, 1221, 10283, 1142, 2746, 4420, 85, 18629, 1759, 14713, 1043, 1795, 1127, 20433, 11687, 22344, 63, 56, 1206, 1184, 9601, 1114, 1712, 1751, 1187, 4181, 3114, 8247, 1049, 19890, 1106, 12559, 1142, 2746, 4420, 85, 18188, 1013, 1362, 1759, 14713, 1043, 1795, 1127, 20433, 5573, 1071, 2525, 27, 1941, 31810, 1206, 1184, 16604, 1114, 1712, 1751, 1187, 4181, 3114, 8247, 1049, 19890, 1106, 1048, 1160, 1058, 15406, 1202, 1114, 3161, 10660, 10749, 1142, 2746, 4420, 85, 18629, 3840, 1183, 1013, 1362, 1605, 9657, 27605, 1009, 5281, 9601, 30325, 11103, 1312, 8826, 16604, 27042, 6410, 1524, 1312, 1048, 1160, 1058, 15406, 1202, 1463, 9694, 7767, 31122, 6108, 1318, 1257, 7807, 6278, 1009, 26795, 1009, 4153, 1010, 3160, 1171, 2404, 1, 9769, 1107, 8681, 1096, 1094, 1641, 1060, 4149, 5062, 1072, 4657, 1009, 22184, 1051, 5537, 177, 72, 10406, 1324, 2413, 7324, 1009, 13125, 83, 3333, 18, 2497, 1009, 31756, 1049, 3826, 11412, 1223, 76, 11119, 25538, 1060, 31756, 1049, 3826, 11412, 1223, 76, 11119, 1, 1138, 7558, 62, 3272, 6036, 22815, 29267, 1009, 25438, 1046, 18592, 81, 1241, 8224, 6036, 1096, 1044, 7239, 1009, 14196, 27762, 18960, 1016, 6344, 1312, 1114, 2786, 25312, 25438, 1627, 8830, 4485, 1159, 25438, 1046, 23972, 1955, 23531, 5339, 3131, 19032, 1006, 10510, 10038, 1048, 1058, 4312, 3581, 1507, 1525, 1072, 1531, 1101, 1009, 9864, 1009, 6796, 1026, 7239, 7558, 62, 1096, 7662, 2691, 4496, 3235, 2083, 43, 17500, 1187, 13267, 17832, 1383, 1707, 25312, 5, 135, 1037, 7644, 1009, 10899, 1060, 5253, 1, 5196, 3397, 177, 3084, 1096, 1094, 1641, 1060, 4149, 5062, 1072, 4657, 1009, 1073, 7486, 72, 1320, 18, 2413, 7324, 1009, 13125, 83, 3333, 18, 2497, 1009, 31756, 1049, 3826, 11412, 1223, 76, 11119, 25538, 1060, 31756, 1049, 3826, 11412, 1223, 76, 11119, 1, 27736, 1398, 7260, 1096, 1094, 4272, 24776, 1118, 27605, 25251, 1054, 3563, 1009, 15267, 1069, 2232, 2705, 73, 1303, 5434, 1068, 4099, 1031, 1787, 1006, 6937, 1005, 16606, 1049, 6102, 2170, 1118, 5910, 4195, 14536, 1213, 7108, 2463, 1532, 23107, 1251, 23475, 1032, 3567, 2034, 1033, 9858, 19849, 16820, 12036, 1009, 13917, 1049, 27736, 1398, 7260, 24138, 1046, 21537, 5247, 3548, 1872, 4007, 92, 10737, 22844, 11338, 1005, 1050, 31529, 1273, 1847, 3530, 20976, 2445, 33, 1096, 1274, 2006, 1006, 13917, 1009, 1044, 3910, 13058, 1009, 7401, 28121, 3121, 1233, 27665, 3131, 16511, 1357, 1901, 94, 1034, 2474, 1408, 6556, 1257, 8361, 1006, 17657, 1990, 1009, 1044, 7108, 1159, 1086, 1108, 1398, 1078, 1100, 1096, 8443, 1006, 7064, 1009, 1044, 19890, 6166, 10277, 1847, 1989, 7916, 2309, 4496, 11278, 32, 1537, 2023, 6324, 2876, 1118, 4577, 1009, 2073, 3161, 13396, 82, 1276, 1999, 1062, 1888, 4208, 12800, 1206, 1251, 23475, 1032, 1312, 15652, 1044, 3563, 1057, 18884, 14350, 1356, 1155, 1165, 1303, 15267, 1069, 1049, 7108, 1276, 2308, 3682, 2699, 1206, 1160, 1009, 15653, 1295, 1166, 1114, 6317, 1009, 21356, 1112, 1049, 18128, 156, 1078, 2019, 4631, 33, 1257, 2567, 24873, 14170, 16618, 1206, 4506, 1525, 1276, 2639, 3682, 2699, 1206, 1160, 1009, 1536, 1203, 1497, 8826, 24051, 1212, 1203, 1497, 1054, 17412, 7511, 1233, 26449, 11920, 1187, 11278, 12760, 1096, 3654, 1318, 1048, 1026, 19890, 6166, 1089, 2894, 1694, 1726, 4496, 19517, 2083, 3006, 4789, 27058, 1712, 1049, 1048, 1984, 8247, 1276, 3162, 13823, 1787, 1371, 2453, 1009, 3886, 8247, 1006, 2323, 1060, 7202, 1049, 7108, 33, 1206, 7909, 1371, 1365, 3886, 1005, 9377, 8247, 1511, 1325, 24678, 1009, 19890, 17954, 1206, 19890, 11341, 1206, 19890, 1207, 6567, 5148, 14229, 96, 1112, 3705, 2568, 1009, 6166, 1089, 96, 1112, 18168, 1114, 15580, 1009, 5281, 1251, 23475, 1032, 3273, 6658, 1312, 1206, 1116, 23181, 3273, 27064, 1357, 6937, 1049, 30364, 2237, 1096, 25479, 1118, 6970, 19, 11107, 7639, 3925, 12172, 1356, 3563, 1210, 7121, 1221, 17017, 1072, 1155, 1165, 1303, 13074, 1206, 1957, 2014, 6633, 25185, 2565, 1006, 6937, 1005, 1638, 1529, 8237, 1009, 6102, 6293, 23456, 1095, 1519, 1006, 1624, 7440, 1112, 1005, 1057, 1255, 73, 1192, 3155, 1009, 1456, 15662, 1072, 7346, 1049, 30316, 14887, 10101, 2089, 24445, 19849, 1719, 1820, 1273, 1086, 1108, 1398, 14713, 7610, 1040, 1159, 4208, 3281, 14713, 3454, 4511, 1391, 15, 1327, 9912, 1318, 1054, 3905, 1009, 1463, 3522, 1400, 4290, 1114 ]

[ 5573, 1006, 2348, 6280, 3057, 1557, 1009, 1638, 4641, 18, 1048, 1096, 16915, 6679, 1006, 1094, 3964, 4960, 1898, 6923, 4212, 3741, 10632, 2982, 51, 11365, 14799, 59, 23018, 2836, 8616, 2604, 85, 1216, 1358, 20110, 1145, 2122, 17846, 1309, 1072, 2535, 1687, 1096, 4884, 13445, 17004, 2372, 1323, 14576, 2306, 1503, 3711, 3100, 1305, 26324, 1009, 2089, 6963, 4337, 37, 5311, 1048, 1503, 3711, 7482, 37, 11772, 1132, 1670, 16761, 2401, 1048, 3711, 1323, 7383, 1040, 37, 5139, 6258, 1503, 3711, 9327, 1448, 19191, 37, 5139, 9272, 1503, 3711, 4647, 14308, 37, 1424, 2306, 3711, 7482, 1009, 1323, 2852, 1024, 1005, 1323, 6631, 37, 1633, 3362, 3229, 3711, 4230, 15466, 37, 1084, 1096, 1043, 22586, 2781, 71, 1592, 1206, 1181, 1140, 37, 1084, 1160, 1096, 14726, 1049, 2143, 1006, 4614, 1160, 3291, 3592, 1268, 27320, 8261, 3711, 18, 1096, 1184, 4417, 12252, 11713, 1016, 1511, 1058, 8983, 1094, 1834, 1048, 2220, 1026, 1557, 5631, 2089, 1783, 1114, 4374, 3097, 4444, 18272, 4141, 4703, 6036, 3742, 4703, 94, 1009, 6730, 5089, 4534, 1833, 18, 1213, 1323, 2997, 1026, 3282, 1009, 1848, 3611, 3992, 1752, 1094, 8545, 1005, 7636, 2089, 1049, 2446, 1009, 2499, 2781, 18, 1837, 4320, 3606, 4510, 2401, 1058, 13522, 1962, 10312, 1054, 2739, 27622, 2252, 22474, 1323, 15725, 1006, 9164, 1989, 10609, 3577, 1182, 5021, 5474, 23120, 2582, 9922, 1069, 1048, 3100, 20, 14013, 1096, 3005, 4337, 37, 3735, 1006, 4614, 10365, 1044, 10609, 3577, 1182, 5021, 1566, 6118, 1100, 4082, 1009, 4350, 1006, 4493, 1048, 1752, 6886, 1328, 1225, 1072, 22489, 1084, 1998, 1511, 26989, 14612, 6756, 1508, 5710, 1118, 17455, 1126, 3249, 1508, 1235, 1598, 5107, 3967, 1508, 4022, 1114, 1224, 2562, 7084, 1005, 1072, 2269, 1048, 3711, 17005, 1096, 1048, 3675, 2315, 1048, 1160, 4145, 1962, 15891, 1989, 10609, 3577, 1182, 5021, 3509, 2373, 19458, 1503, 3100, 37, 626, 1043, 5767, 1048, 1734, 5482, 1975, 1206, 9359, 1975, 5501, 4666, 1206, 6789, 15682, 1084, 1026, 1184, 7492, 32, 4666, 18, 3630, 1049, 10609, 3577, 1182, 5021, 15179, 4145, 1962, 14149, 17455, 1273, 1058, 7374, 8076, 26524, 1048, 1299, 8999, 3048, 16735, 3360, 4682, 1206, 1048, 1160, 3586, 1395, 15725, 3048, 1847, 1552, 26133, 1005, 5501, 2089, 1072, 8248, 12190, 1048, 3586, 6910, 1580, 24678, 1060, 1457, 1126, 2089, 1048, 4327, 1395, 3765, 1009, 19964, 1206, 1592, 3417, 8134, 8004, 1305, 3192, 1592, 0, 10407, 1157, 1853, 0, 1467, 41, 10717, 11076, 7988, 124, 19756, 1073, 4071, 1142, 7146, 53, 14375, 91, 2374, 32, 1299, 1225, 1006, 4169, 1009, 15891, 1006, 3733, 1852, 1159, 3904, 1463, 8854, 1060, 16872, 1126, 22724, 13891, 1377, 1026, 1048, 1124, 1783, 23009, 1009, 1299, 33, 1309, 1318, 1225, 1006, 4169, 1009, 3417, 1009, 2790, 1006, 16872, 1126, 1249, 1524, 1024, 2252, 1124, 5767, 1005, 1058, 14576, 2688, 2572, 1274, 1930, 1159, 1005, 1054, 1048, 25600, 3510, 1157, 1006, 1224, 3486, 4173, 20, 1633, 1324, 30605, 1998, 3987, 2750, 1871, 2177, 27164, 1159, 1503, 1005, 1299, 2058, 1229, 1005, 3244, 8587, 1592, 1178, 20, 2654, 1566, 17769, 2307, 1322, 14232, 16748, 1009, 11520, 1149, 1048, 27991, 1043, 5412, 4324, 1005, 1289, 15933, 6909, 1048, 1160, 13122, 1048, 1195, 1118, 24475, 1048, 3219, 7289, 1132, 9471, 6826, 4682, 1664, 2625, 8134, 1187, 1734, 1005, 6255, 15469, 1054, 1235, 15851, 20, 1138, 1048, 5934, 1096, 1048, 1213, 10596, 1054, 4263, 1006, 4614, 7917, 1058, 19850, 1493, 1068, 1026, 11641, 1068, 1026, 1048, 3904, 1009, 18518, 7800, 1819, 1009, 6530, 1026, 1048, 1325, 2453, 1479, 1048, 1072, 4249, 1096, 1026, 1048, 4319, 1009, 1184, 2127, 9493, 3074, 4666, 2803, 1009, 21414, 1124, 5767, 2252, 1005, 15891, 2092, 3266, 2486, 1667, 4634, 1048, 3005, 3074, 3748, 7085, 1394, 12049, 24366, 1005, 1752, 1531, 2096, 1137, 5767, 2625, 1005, 4126, 1044, 5203, 17168, 4115, 1531, 1048, 2303, 22717, 2384, 1170, 2504, 1810, 33, 1225, 1531, 1048, 2303, 22717, 2533, 2836, 1646, 8029, 1680, 3910, 33, 1005, 1225, 1531, 1048, 2303, 1005, 2096, 1137, 1026, 25311, 4475, 4115, 1531, 1048, 9133, 2156, 7055, 1009, 3504, 1185, 1126, 4494, 2166, 27049, 6493, 1005, 8011, 1121, 1962, 17704, 1132, 14778, 1114, 8494, 1071, 27153, 1195, 1992, 2170, 2340, 6071, 3048, 1503, 13122, 7, 3929, 1005, 1225, 1531, 1048, 1160, 9133, 1114, 21052, 1009, 7757, 7, 4115, 1531, 1048, 2490, 2220, 1026, 1557, 1048, 2449, 4458, 1043, 1026, 2092, 2017, 10566, 1026, 675, 3755, 1075, 1731, 1071, 16973, 81, 3929, 1005, 1225, 1531, 1048, 1264, 5103, 2250, 1305, 1178, 4551, 2270, 4115, 1531, 1048, 3074, 2373, 1255, 1539, 1157, 1009, 4614, 4324, 1005, 9133, 1094, 4449, 20422, 1046, 1140, 5626, 1060, 2924, 3873, 14869, 2624, 18811, 1157, 3552, 2373, 92, 1810, 20422, 1046, 1140, 4324, 16308, 3929, 1005, 1225, 1531, 1048, 1503, 3010, 2208, 1066, 12190, 16433, 1118, 4253, 6216, 1005, 1160, 2373, 1167, 2402, 626, 6082, 20, 4115, 1531, 1048, 4540, 5626, 1049, 3236, 1962, 5593, 1800, 1094, 26394, 1206, 2952, 30703, 1043, 1132, 23570, 1048, 1826, 2307, 33, 1005, 1225, 1531, 1048, 1323, 7275, 1137, 1114, 2348, 4510, 1434, 41, 1179, 7151, 3806, 3050, 21990, 1005, 1009, 3062, 1160, 1710, 4475, 4115, 1531, 1048, 5628, 3229, 8670, 1077, 1998, 1962, 10312, 3510, 85, 1044, 13465, 1064, 9916, 10378, 1143, 4776, 14865, 5905, 1046, 20692, 9361, 33, 1005, 1225, 1531, 1048, 1159, 2073, 3616, 1048, 1566, 5553, 17701, 1005, 1160, 1111, 2402, 3048, 1791, 16293, 1054, 2125, 17109, 20, 4115, 1531, 1048, 3074, 1317, 1157, 1006, 2348, 3486, 7298, 1005, 1710, 1047, 12049, 1962, 19973, 7232, 7106, 28358, 5795, 3019, 4434, 1327, 1044, 2991, 15, 1005, 1225, 1531, 1048, 3048, 1503, 3074, 1323, 5490, 11744, 1009, 2072, 1413, 1889, 1048, 3074, 18, 1005, 30577, 8548, 1006, 3219, 1009, 1160, 1261, 1184, 6082, 1962, 8307, 1323, 5490, 1754, 3021, 22826, 7309, 50, 3083, 11756, 2013, 1138, 1144, 27338, 29695, 13237, 0, 5, 0, 1096, 1026, 1720, 1009, 2306, 2058, 1229, 1009, 2306, 30196, 2428, 2058, 1554, 5841, 2042, 1009, 5501, 26125, 1005, 5149, 23708, 5129, 1009, 1261, 1048, 1178, 2373, 4315, 6474, 1396, 1236, 22819, 5440, 13680, 1236, 4324, 2373, 76, 23454, 22819, 23325, 6896, 71, 4324, 2373, 19834, 1085, 1239, 22819, 1484, 18498, 4324, 2373, 1029, 9965, 1048, 7464, 1009, 24494, 22819, 1048, 1160, 7464, 626, 1195, 1006, 4614, 1048, 1762, 6452, 1962, 6313, 1853, 1054, 15505, 1962, 1058, 13834, 3144, 2654, 25786, 1495, 1118, 6131, 1229, 13054, 1044, 30706, 1048, 4473, 6185, 5832, 1043, 1026, 1428, 18079, 79, 3360, 4248, 1009, 1160, 1294, 4877, 1800, 11512, 1077, 1005, 11186, 1800, 6382, 3342, 1114, 1834, 18411, 2360, 6947, 1060, 2348, 1834, 24831, 1280, 19246, 18558, 1058, 3100, 5209, 32, 15, 2373, 21111, 5832, 1009, 1058, 9497, 1014, 5450, 626, 20175, 1325, 1998, 1977, 6058, 1044, 3681, 1160, 1096, 3192, 19133, 1679, 3179, 9216, 1646, 1323, 8009, 4975, 1962, 1927, 2373, 1285, 4877, 1009, 4327, 8226, 1084, 1160, 2449, 12106, 1009, 1048, 2374, 4445, 14249, 3699, 3461, 14249, 3048, 1592, 7296, 20559, 2800, 1919, 1006, 7565, 1060, 1142, 19182, 1566, 5192, 1048, 1205, 23297, 2997, 8857, 2739, 6236, 1054, 2653, 12627, 2605, 2155, 1178, 1006, 1944, 1472, 1048, 2155, 1261, 6440, 8857, 1118, 1094, 5342, 1048, 3741, 3768, 18, 2246, 2637, 1048, 3741, 10632, 2982, 51, 11365, 1039, 2255, 2246, 2468, 1089, 1094, 4497, 1048, 1195, 1009, 4556, 25084, 9671, 20, 1084, 2593, 16203, 1026, 3603, 1060, 2348, 3486, 1834, 1225, 2281, 3895, 1348, 1005, 19082, 77, 4289, 3587, 2246, 3074, 3748, 1616, 1305, 1323, 4877, 5560, 6382, 6284, 1159, 3326, 1089, 1072, 2738, 12904, 29776, 1067, 4562, 5237, 2980, 1941, 1941, 53, 626, 1467, 1108, 80, 10061, 4833, 96, 23604, 1005, 1664, 1132, 24233, 1718, 3982, 1638, 3827, 1096, 1094, 5133, 1998, 20, 1482, 14152, 1058, 21635, 1054, 1761, 1273, 1638, 5068, 1005, 1638, 4641, 18, 1309, 1072, 15552, 1026, 7856, 1096, 1026, 1592, 32, 2373, 13232, 1009, 2306, 1058, 7596, 1206, 1058, 10333, 12408, 20183, 1069, 1206, 1998, 33, 14735, 8226, 1505, 1616, 1096, 1048, 2449, 11684, 1048, 3074, 2373, 1135, 27002, 4324, 1043, 1124, 1124, 3856, 1009, 2373, 12677, 1323, 12280, 26915, 1309, 3074, 3533, 2940, 2593, 1998, 8226, 1084, 1305, 1244, 8328, 1161, 1009, 2950, 1616, 2155, 1206, 1298, 4217, 5793, 8633, 1021, 37, 20395, 1040, 5220, 26702, 1048, 1216, 18397, 4302, 1323, 22002, 32, 2373, 19979, 1167, 1497, 2246, 1299, 1160, 1096, 1009, 3659, 20175, 1493, 1557, 8226, 1084, 1006, 2348, 3964, 3484, 3057, 5847, 1184, 1049, 1048, 9066, 2373, 89, 1079, 1592, 1992, 1206, 1160, 37, 4324, 1096, 2373, 86, 2836, 1808, 1930, 3074, 24305, 7, 626, 2875, 1036, 9004, 175, 1037, 1047, 1726, 2624, 31713, 1726, 2624, 4089, 1599, 1009, 2306, 1726, 2624, 5879, 1054, 4005, 3596, 20175, 1005, 1726, 2624, 5879, 1118, 9800, 1043, 1132, 1734, 33, 1009, 2306, 1160, 1225, 3179, 3819, 4367, 22335, 1068, 1026, 17034, 1309, 2653, 10110, 1005, 3182, 1068, 14411, 1043, 1857, 33, 1009, 2306, 1566, 4454, 1009, 2790, 2739, 4842, 10292, 1005, 1325, 1058, 8913, 5501, 1054, 9168, 1495, 1124, 5649, 1161, 1184, 2987, 1048, 9251, 1322, 4384, 2921, 33, 1009, 2306, 1058, 4279, 11146, 3398, 1048, 1013, 1074, 1005, 14740, 1401, 1024, 1009, 19811, 31233, 33, 1009, 2306, 1160, 1976, 3179, 4697, 12503, 1962, 3179, 4697, 3271, 1309, 1325, 9296, 1236, 1006, 1178, 16003, 1006, 4384, 2921, 1072, 1184, 3910, 3319, 1048, 1096, 2481, 33, 1009, 2306, 1225, 10045, 1069, 5649, 1161, 1322, 4384, 1118, 24129, 1394, 1072, 14593, 1009, 8290, 1124, 9605, 1571, 2444, 2569, 1557, 1009, 6530, 1495, 24268, 3062, 2453, 20, 11752, 1503, 1160, 2373, 90, 1771, 1048, 626, 1206, 2373, 1255, 27933, 626, 20218, 11752, 1503, 1998, 3100, 1006, 4510, 7699, 1206, 12653, 1124, 4510, 11338, 1054, 2693, 1224, 15209, 1149, 4963, 1477, 12904, 5384, 1998, 4230, 1178, 626, 9981, 1026, 1720, 1009, 1094, 2423, 1060, 8781, 95, 1043, 1006, 1156, 2112, 1048, 1503, 26178, 1072, 1901, 7755, 1566, 17542, 1962, 18655, 1006, 11520, 1149, 1463, 2089, 1783, 1005, 3004, 2449, 2832, 1069, 1962, 1011, 1412, 2841, 1962, 4982, 31161, 2800, 1044, 15531, 3019, 5847, 1048, 5482, 79, 6313, 1043, 13667, 1005, 9179, 1071, 3294, 1160, 1327, 1614, 1550, 17576, 1395, 1151, 21496, 1646, 1009, 16848, 1323, 7786, 1412, 1616, 1005, 1044, 1531, 4221, 3420, 1322, 7, 1349, 24305, 2373, 9408, 1026, 1048, 1837, 1962, 6313, 626, 1005, 1323, 8913, 3754, 1132, 24355, 89, 1005, 15132, 89, 2277, 1006, 2348, 3486, 2159, 2488, 3351, 6411, 20, 1084, 2364, 1006, 6411, 1048, 15519, 1195, 1009, 10551, 1668, 3407, 1043, 1006, 10421, 3987, 20969, 14013, 2155, 1048, 1299, 1318, 1325, 28770, 1058, 8356, 1009, 3417, 1009, 2373, 3950, 4327, 1068, 2143, 4327, 626, 1005, 11542, 1657, 1178, 0, 29808, 5384, 1160, 4230, 14745, 3670, 1160, 4230, 1244, 1645, 3670, 1160, 4230, 1323, 9202, 8422, 11348, 1164, 2307, 1962, 2997, 2991, 2324, 1040, 10860, 1251, 1029, 1147, 3670, 1160, 4230, 1323, 8773, 1024, 1383, 3048, 1395, 22933, 3670, 1998, 4230, 1178, 3670, 1160, 4230, 1323, 26030, 3385, 1160, 3002, 1261, 1048, 1323, 2383, 1024, 3670, 1998, 4230, 1178, 3670, 1160, 4230, 16802, 5990, 1576, 1007, 1395, 15195, 1048, 1160, 1096, 5338, 3670, 1160, 4230, 6631, 1006, 21790, 1576, 1007, 1395, 5172, 1048, 1503, 1581, 1137, 1006, 5865, 3670, 1160, 4230, 1009, 1493, 3453, 2324, 1040, 3100, 2217, 1191, 1049, 2092, 20938, 8422, 11348, 1164, 5626, 1009, 4022, 1383, 3048, 1060, 12713, 9738, 3670, 1998, 4230, 1178, 7, 626, 4093, 26331, 1043, 6671, 94, 4676, 15844, 2059, 1068, 8748, 1072, 6332, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 8556, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 7340, 1118, 6455, 1006, 1044, 5399, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 17226, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 7098, 1259, 1202, 14, 1182, 1013, 1054, 2360, 8227, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 31781, 2491, 1069, 12256, 1118, 2501, 79, 1087, 1029, 2905, 30805, 1291, 1118, 2362, 1627, 19066, 1118, 29811, 1005, 1318, 31490, 5221, 12902, 1064, 1732, 72, 1961, 2123, 1081, 3097, 1359, 1203, 78, 8107, 15723, 2469, 1558, 4289, 21549, 1009, 8322, 1009, 28507, 1009, 3504, 1185, 1126, 1060, 14044, 7617, 1609, 1118, 12212, 1005, 1118, 2593, 20234, 1140, 1009, 5410, 7, 4, 2608, 1664, 1132, 21534, 1118, 2501, 79, 1087, 1029, 2905, 19773, 3459, 10148, 9699, 4, 3576, 1236, 1009, 4963, 5460, 9684, 1009, 14650, 9684, 1009, 28151, 7985, 1167, 18955, 1009, 21534, 1605, 1901, 1054, 2464, 10094, 1503, 12974, 7, 1084, 2734, 1089, 1044, 3863, 0, 1605 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5573, 1006, 2348, 6280, 3057, 1557, 1009, 1638, 4641, 18, 1048, 1096, 16915, 6679, 1006, 1094, 3964, 4960, 1898, 6923, 4212, 3741, 10632, 2982, 51, 11365, 14799, 59, 23018, 2836, 8616, 2604, 85, 1216, 1358, 20110, 1145, 2122, 17846, 1309, 1072, 2535, 1687, 1096, 4884, 13445, 17004, 2372, 1323, 14576, 2306, 1503, 3711, 3100, 1305, 26324, 1009, 2089, 6963, 4337, 37, 5311, 1048, 1503, 3711, 7482, 37, 11772, 1132, 1670, 16761, 2401, 1048, 3711, 1323, 7383, 1040, 37, 5139, 6258, 1503, 3711, 9327, 1448, 19191, 37, 5139, 9272, 1503, 3711, 4647, 14308, 37, 1424, 2306, 3711, 7482, 1009, 1323, 2852, 1024, 1005, 1323, 6631, 37, 1633, 3362, 3229, 3711, 4230, 15466, 37, 1084, 1096, 1043, 22586, 2781, 71, 1592, 1206, 1181, 1140, 37, 1084, 1160, 1096, 14726, 1049, 2143, 1006, 4614, 1160, 3291, 3592, 1268, 27320, 8261, 3711, 18, 1096, 1184, 4417, 12252, 11713, 1016, 1511, 1058, 8983, 1094, 1834, 1048, 2220, 1026, 1557, 5631, 2089, 1783, 1114, 4374, 3097, 4444, 18272, 4141, 4703, 6036, 3742, 4703, 94, 1009, 6730, 5089, 4534, 1833, 18, 1213, 1323, 2997, 1026, 3282, 1009, 1848, 3611, 3992, 1752, 1094, 8545, 1005, 7636, 2089, 1049, 2446, 1009, 2499, 2781, 18, 1837, 4320, 3606, 4510, 2401, 1058, 13522, 1962, 10312, 1054, 2739, 27622, 2252, 22474, 1323, 15725, 1006, 9164, 1989, 10609, 3577, 1182, 5021, 5474, 23120, 2582, 9922, 1069, 1048, 3100, 20, 14013, 1096, 3005, 4337, 37, 3735, 1006, 4614, 10365, 1044, 10609, 3577, 1182, 5021, 1566, 6118, 1100, 4082, 1009, 4350, 1006, 4493, 1048, 1752, 6886, 1328, 1225, 1072, 22489, 1084, 1998, 1511, 26989, 14612, 6756, 1508, 5710, 1118, 17455, 1126, 3249, 1508, 1235, 1598, 5107, 3967, 1508, 4022, 1114, 1224, 2562, 7084, 1005, 1072, 2269, 1048, 3711, 17005, 1096, 1048, 3675, 2315, 1048, 1160, 4145, 1962, 15891, 1989, 10609, 3577, 1182, 5021, 3509, 2373, 19458, 1503, 3100, 37, 626, 1043, 5767, 1048, 1734, 5482, 1975, 1206, 9359, 1975, 5501, 4666, 1206, 6789, 15682, 1084, 1026, 1184, 7492, 32, 4666, 18, 3630, 1049, 10609, 3577, 1182, 5021, 15179, 4145, 1962, 14149, 17455, 1273, 1058, 7374, 8076, 26524, 1048, 1299, 8999, 3048, 16735, 3360, 4682, 1206, 1048, 1160, 3586, 1395, 15725, 3048, 1847, 1552, 26133, 1005, 5501, 2089, 1072, 8248, 12190, 1048, 3586, 6910, 1580, 24678, 1060, 1457, 1126, 2089, 1048, 4327, 1395, 3765, 1009, 19964, 1206, 1592, 3417, 8134, 8004, 1305, 3192, 1592, 0, 10407, 1157, 1853, 0, 1467, 41, 10717, 11076, 7988, 124, 19756, 1073, 4071, 1142, 7146, 53, 14375, 91, 2374, 32, 1299, 1225, 1006, 4169, 1009, 15891, 1006, 3733, 1852, 1159, 3904, 1463, 8854, 1060, 16872, 1126, 22724, 13891, 1377, 1026, 1048, 1124, 1783, 23009, 1009, 1299, 33, 1309, 1318, 1225, 1006, 4169, 1009, 3417, 1009, 2790, 1006, 16872, 1126, 1249, 1524, 1024, 2252, 1124, 5767, 1005, 1058, 14576, 2688, 2572, 1274, 1930, 1159, 1005, 1054, 1048, 25600, 3510, 1157, 1006, 1224, 3486, 4173, 20, 1633, 1324, 30605, 1998, 3987, 2750, 1871, 2177, 27164, 1159, 1503, 1005, 1299, 2058, 1229, 1005, 3244, 8587, 1592, 1178, 20, 2654, 1566, 17769, 2307, 1322, 14232, 16748, 1009, 11520, 1149, 1048, 27991, 1043, 5412, 4324, 1005, 1289, 15933, 6909, 1048, 1160, 13122, 1048, 1195, 1118, 24475, 1048, 3219, 7289, 1132, 9471, 6826, 4682, 1664, 2625, 8134, 1187, 1734, 1005, 6255, 15469, 1054, 1235, 15851, 20, 1138, 1048, 5934, 1096, 1048, 1213, 10596, 1054, 4263, 1006, 4614, 7917, 1058, 19850, 1493, 1068, 1026, 11641, 1068, 1026, 1048, 3904, 1009, 18518, 7800, 1819, 1009, 6530, 1026, 1048, 1325, 2453, 1479, 1048, 1072, 4249, 1096, 1026, 1048, 4319, 1009, 1184, 2127, 9493, 3074, 4666, 2803, 1009, 21414, 1124, 5767, 2252, 1005, 15891, 2092, 3266, 2486, 1667, 4634, 1048, 3005, 3074, 3748, 7085, 1394, 12049, 24366, 1005, 1752, 1531, 2096, 1137, 5767, 2625, 1005, 4126, 1044, 5203, 17168, 4115, 1531, 1048, 2303, 22717, 2384, 1170, 2504, 1810, 33, 1225, 1531, 1048, 2303, 22717, 2533, 2836, 1646, 8029, 1680, 3910, 33, 1005, 1225, 1531, 1048, 2303, 1005, 2096, 1137, 1026, 25311, 4475, 4115, 1531, 1048, 9133, 2156, 7055, 1009, 3504, 1185, 1126, 4494, 2166, 27049, 6493, 1005, 8011, 1121, 1962, 17704, 1132, 14778, 1114, 8494, 1071, 27153, 1195, 1992, 2170, 2340, 6071, 3048, 1503, 13122, 7, 3929, 1005, 1225, 1531, 1048, 1160, 9133, 1114, 21052, 1009, 7757, 7, 4115, 1531, 1048, 2490, 2220, 1026, 1557, 1048, 2449, 4458, 1043, 1026, 2092, 2017, 10566, 1026, 675, 3755, 1075, 1731, 1071, 16973, 81, 3929, 1005, 1225, 1531, 1048, 1264, 5103, 2250, 1305, 1178, 4551, 2270, 4115, 1531, 1048, 3074, 2373, 1255, 1539, 1157, 1009, 4614, 4324, 1005, 9133, 1094, 4449, 20422, 1046, 1140, 5626, 1060, 2924, 3873, 14869, 2624, 18811, 1157, 3552, 2373, 92, 1810, 20422, 1046, 1140, 4324, 16308, 3929, 1005, 1225, 1531, 1048, 1503, 3010, 2208, 1066, 12190, 16433, 1118, 4253, 6216, 1005, 1160, 2373, 1167, 2402, 626, 6082, 20, 4115, 1531, 1048, 4540, 5626, 1049, 3236, 1962, 5593, 1800, 1094, 26394, 1206, 2952, 30703, 1043, 1132, 23570, 1048, 1826, 2307, 33, 1005, 1225, 1531, 1048, 1323, 7275, 1137, 1114, 2348, 4510, 1434, 41, 1179, 7151, 3806, 3050, 21990, 1005, 1009, 3062, 1160, 1710, 4475, 4115, 1531, 1048, 5628, 3229, 8670, 1077, 1998, 1962, 10312, 3510, 85, 1044, 13465, 1064, 9916, 10378, 1143, 4776, 14865, 5905, 1046, 20692, 9361, 33, 1005, 1225, 1531, 1048, 1159, 2073, 3616, 1048, 1566, 5553, 17701, 1005, 1160, 1111, 2402, 3048, 1791, 16293, 1054, 2125, 17109, 20, 4115, 1531, 1048, 3074, 1317, 1157, 1006, 2348, 3486, 7298, 1005, 1710, 1047, 12049, 1962, 19973, 7232, 7106, 28358, 5795, 3019, 4434, 1327, 1044, 2991, 15, 1005, 1225, 1531, 1048, 3048, 1503, 3074, 1323, 5490, 11744, 1009, 2072, 1413, 1889, 1048, 3074, 18, 1005, 30577, 8548, 1006, 3219, 1009, 1160, 1261, 1184, 6082, 1962, 8307, 1323, 5490, 1754, 3021, 22826, 7309, 50, 3083, 11756, 2013, 1138, 1144, 27338, 29695, 13237, 0, 5, 0, 1096, 1026, 1720, 1009, 2306, 2058, 1229, 1009, 2306, 30196, 2428, 2058, 1554, 5841, 2042, 1009, 5501, 26125, 1005, 5149, 23708, 5129, 1009, 1261, 1048, 1178, 2373, 4315, 6474, 1396, 1236, 22819, 5440, 13680, 1236, 4324, 2373, 76, 23454, 22819, 23325, 6896, 71, 4324, 2373, 19834, 1085, 1239, 22819, 1484, 18498, 4324, 2373, 1029, 9965, 1048, 7464, 1009, 24494, 22819, 1048, 1160, 7464, 626, 1195, 1006, 4614, 1048, 1762, 6452, 1962, 6313, 1853, 1054, 15505, 1962, 1058, 13834, 3144, 2654, 25786, 1495, 1118, 6131, 1229, 13054, 1044, 30706, 1048, 4473, 6185, 5832, 1043, 1026, 1428, 18079, 79, 3360, 4248, 1009, 1160, 1294, 4877, 1800, 11512, 1077, 1005, 11186, 1800, 6382, 3342, 1114, 1834, 18411, 2360, 6947, 1060, 2348, 1834, 24831, 1280, 19246, 18558, 1058, 3100, 5209, 32, 15, 2373, 21111, 5832, 1009, 1058, 9497, 1014, 5450, 626, 20175, 1325, 1998, 1977, 6058, 1044, 3681, 1160, 1096, 3192, 19133, 1679, 3179, 9216, 1646, 1323, 8009, 4975, 1962, 1927, 2373, 1285, 4877, 1009, 4327, 8226, 1084, 1160, 2449, 12106, 1009, 1048, 2374, 4445, 14249, 3699, 3461, 14249, 3048, 1592, 7296, 20559, 2800, 1919, 1006, 7565, 1060, 1142, 19182, 1566, 5192, 1048, 1205, 23297, 2997, 8857, 2739, 6236, 1054, 2653, 12627, 2605, 2155, 1178, 1006, 1944, 1472, 1048, 2155, 1261, 6440, 8857, 1118, 1094, 5342, 1048, 3741, 3768, 18, 2246, 2637, 1048, 3741, 10632, 2982, 51, 11365, 1039, 2255, 2246, 2468, 1089, 1094, 4497, 1048, 1195, 1009, 4556, 25084, 9671, 20, 1084, 2593, 16203, 1026, 3603, 1060, 2348, 3486, 1834, 1225, 2281, 3895, 1348, 1005, 19082, 77, 4289, 3587, 2246, 3074, 3748, 1616, 1305, 1323, 4877, 5560, 6382, 6284, 1159, 3326, 1089, 1072, 2738, 12904, 29776, 1067, 4562, 5237, 2980, 1941, 1941, 53, 626, 1467, 1108, 80, 10061, 4833, 96, 23604, 1005, 1664, 1132, 24233, 1718, 3982, 1638, 3827, 1096, 1094, 5133, 1998, 20, 1482, 14152, 1058, 21635, 1054, 1761, 1273, 1638, 5068, 1005, 1638, 4641, 18, 1309, 1072, 15552, 1026, 7856, 1096, 1026, 1592, 32, 2373, 13232, 1009, 2306, 1058, 7596, 1206, 1058, 10333, 12408, 20183, 1069, 1206, 1998, 33, 14735, 8226, 1505, 1616, 1096, 1048, 2449, 11684, 1048, 3074, 2373, 1135, 27002, 4324, 1043, 1124, 1124, 3856, 1009, 2373, 12677, 1323, 12280, 26915, 1309, 3074, 3533, 2940, 2593, 1998, 8226, 1084, 1305, 1244, 8328, 1161, 1009, 2950, 1616, 2155, 1206, 1298, 4217, 5793, 8633, 1021, 37, 20395, 1040, 5220, 26702, 1048, 1216, 18397, 4302, 1323, 22002, 32, 2373, 19979, 1167, 1497, 2246, 1299, 1160, 1096, 1009, 3659, 20175, 1493, 1557, 8226, 1084, 1006, 2348, 3964, 3484, 3057, 5847, 1184, 1049, 1048, 9066, 2373, 89, 1079, 1592, 1992, 1206, 1160, 37, 4324, 1096, 2373, 86, 2836, 1808, 1930, 3074, 24305, 7, 626, 2875, 1036, 9004, 175, 1037, 1047, 1726, 2624, 31713, 1726, 2624, 4089, 1599, 1009, 2306, 1726, 2624, 5879, 1054, 4005, 3596, 20175, 1005, 1726, 2624, 5879, 1118, 9800, 1043, 1132, 1734, 33, 1009, 2306, 1160, 1225, 3179, 3819, 4367, 22335, 1068, 1026, 17034, 1309, 2653, 10110, 1005, 3182, 1068, 14411, 1043, 1857, 33, 1009, 2306, 1566, 4454, 1009, 2790, 2739, 4842, 10292, 1005, 1325, 1058, 8913, 5501, 1054, 9168, 1495, 1124, 5649, 1161, 1184, 2987, 1048, 9251, 1322, 4384, 2921, 33, 1009, 2306, 1058, 4279, 11146, 3398, 1048, 1013, 1074, 1005, 14740, 1401, 1024, 1009, 19811, 31233, 33, 1009, 2306, 1160, 1976, 3179, 4697, 12503, 1962, 3179, 4697, 3271, 1309, 1325, 9296, 1236, 1006, 1178, 16003, 1006, 4384, 2921, 1072, 1184, 3910, 3319, 1048, 1096, 2481, 33, 1009, 2306, 1225, 10045, 1069, 5649, 1161, 1322, 4384, 1118, 24129, 1394, 1072, 14593, 1009, 8290, 1124, 9605, 1571, 2444, 2569, 1557, 1009, 6530, 1495, 24268, 3062, 2453, 20, 11752, 1503, 1160, 2373, 90, 1771, 1048, 626, 1206, 2373, 1255, 27933, 626, 20218, 11752, 1503, 1998, 3100, 1006, 4510, 7699, 1206, 12653, 1124, 4510, 11338, 1054, 2693, 1224, 15209, 1149, 4963, 1477, 12904, 5384, 1998, 4230, 1178, 626, 9981, 1026, 1720, 1009, 1094, 2423, 1060, 8781, 95, 1043, 1006, 1156, 2112, 1048, 1503, 26178, 1072, 1901, 7755, 1566, 17542, 1962, 18655, 1006, 11520, 1149, 1463, 2089, 1783, 1005, 3004, 2449, 2832, 1069, 1962, 1011, 1412, 2841, 1962, 4982, 31161, 2800, 1044, 15531, 3019, 5847, 1048, 5482, 79, 6313, 1043, 13667, 1005, 9179, 1071, 3294, 1160, 1327, 1614, 1550, 17576, 1395, 1151, 21496, 1646, 1009, 16848, 1323, 7786, 1412, 1616, 1005, 1044, 1531, 4221, 3420, 1322, 7, 1349, 24305, 2373, 9408, 1026, 1048, 1837, 1962, 6313, 626, 1005, 1323, 8913, 3754, 1132, 24355, 89, 1005, 15132, 89, 2277, 1006, 2348, 3486, 2159, 2488, 3351, 6411, 20, 1084, 2364, 1006, 6411, 1048, 15519, 1195, 1009, 10551, 1668, 3407, 1043, 1006, 10421, 3987, 20969, 14013, 2155, 1048, 1299, 1318, 1325, 28770, 1058, 8356, 1009, 3417, 1009, 2373, 3950, 4327, 1068, 2143, 4327, 626, 1005, 11542, 1657, 1178, 0, 29808, 5384, 1160, 4230, 14745, 3670, 1160, 4230, 1244, 1645, 3670, 1160, 4230, 1323, 9202, 8422, 11348, 1164, 2307, 1962, 2997, 2991, 2324, 1040, 10860, 1251, 1029, 1147, 3670, 1160, 4230, 1323, 8773, 1024, 1383, 3048, 1395, 22933, 3670, 1998, 4230, 1178, 3670, 1160, 4230, 1323, 26030, 3385, 1160, 3002, 1261, 1048, 1323, 2383, 1024, 3670, 1998, 4230, 1178, 3670, 1160, 4230, 16802, 5990, 1576, 1007, 1395, 15195, 1048, 1160, 1096, 5338, 3670, 1160, 4230, 6631, 1006, 21790, 1576, 1007, 1395, 5172, 1048, 1503, 1581, 1137, 1006, 5865, 3670, 1160, 4230, 1009, 1493, 3453, 2324, 1040, 3100, 2217, 1191, 1049, 2092, 20938, 8422, 11348, 1164, 5626, 1009, 4022, 1383, 3048, 1060, 12713, 9738, 3670, 1998, 4230, 1178, 7, 626, 4093, 26331, 1043, 6671, 94, 4676, 15844, 2059, 1068, 8748, 1072, 6332, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 8556, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 7340, 1118, 6455, 1006, 1044, 5399, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 17226, 14, 1182, 1013, 1054, 2360, 8227, 1308, 8891, 2059, 1068, 8748, 1072, 7098, 1259, 1202, 14, 1182, 1013, 1054, 2360, 8227, 11781, 5999, 1130, 24247, 1797, 5999, 1130, 31784, 1157, 3226, 31781, 2491, 1069, 12256, 1118, 2501, 79, 1087, 1029, 2905, 30805, 1291, 1118, 2362, 1627, 19066, 1118, 29811, 1005, 1318, 31490, 5221, 12902, 1064, 1732, 72, 1961, 2123, 1081, 3097, 1359, 1203, 78, 8107, 15723, 2469, 1558, 4289, 21549, 1009, 8322, 1009, 28507, 1009, 3504, 1185, 1126, 1060, 14044, 7617, 1609, 1118, 12212, 1005, 1118, 2593, 20234, 1140, 1009, 5410, 7, 4, 2608, 1664, 1132, 21534, 1118, 2501, 79, 1087, 1029, 2905, 19773, 3459, 10148, 9699, 4, 3576, 1236, 1009, 4963, 5460, 9684, 1009, 14650, 9684, 1009, 28151, 7985, 1167, 18955, 1009, 21534, 1605, 1901, 1054, 2464, 10094, 1503, 12974, 7, 1084, 2734, 1089, 1044, 3863, 0, 1605 ]

[ 7556, 2306, 1134, 7316, 1836, 1996, 1009, 1224, 19238, 1138, 2859, 1058, 20063, 3587, 1463, 6978, 1009, 9850, 1009, 1796, 1010, 1114, 16274, 1342, 1005, 1072, 5802, 1060, 3578, 22145, 3921, 20453, 89, 6928, 2646, 1054, 1224, 15899, 8106, 1006, 13744, 1005, 1026, 21959, 1009, 1134, 7316, 1327, 5534, 2585, 1160, 1837, 2266, 1322, 2306, 1687, 1836, 1996, 1009, 1224, 19238, 1, 8454, 1044, 4434, 1009, 4861, 1009, 11774, 2880, 1054, 1044, 2468, 2711, 2389, 1048, 9326, 1132, 6641, 1009, 1261, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1054, 1235, 31708, 5058, 2940, 1371, 1463, 7653, 9310, 1048, 1298, 18883, 1006, 4379, 18, 1159, 3659, 7552, 1114, 15408, 1377, 8017, 1210, 75, 1136, 2370, 7531, 1005, 7676, 1068, 1663, 18919, 1009, 1456, 3328, 1005, 3501, 75, 1026, 4434, 1043, 1044, 1011, 2144, 17490, 19, 10115, 14445, 1157, 1132, 12876, 1006, 8895, 1054, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1068, 1224, 3486, 3227, 1114, 8442, 27488, 1375, 1439, 1371, 1072, 2790, 1060, 8442, 1298, 1178, 1044, 1861, 1019, 10835, 4807, 1058, 1299, 5037, 10911, 1206, 1054, 1044, 2269, 6240, 4457, 2013, 1927, 18691, 1058, 10995, 1068, 5494, 18943, 5129, 1005, 1094, 3616, 1048, 2598, 1976, 2593, 23904, 1049, 1235, 19775, 1009, 13207, 1096, 1044, 4526, 31957, 1151, 9863, 10387, 2652, 3204, 4674, 7044, 1298, 2009, 3392, 1493, 4248, 15725, 5193, 1006, 5392, 1009, 1094, 4087, 4386, 14470, 2669, 1005, 14653, 1048, 1299, 1695, 2934, 1213, 1235, 5675, 1043, 21053, 1257, 2858, 1187, 3145, 6641, 1009, 1261, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1096, 1006, 5545, 1009, 6506, 1048, 3684, 1004, 3893, 12875, 1048, 1299, 1225, 1044, 4367, 1009, 18919, 1072, 2535, 1009, 1235, 7867, 1058, 7983, 1024, 1006, 1977, 3144, 11203, 8255, 1327, 24698, 1068, 4524, 1043, 2073, 2446, 1009, 9371, 1009, 18075, 1005, 1857, 1327, 18531, 1009, 2472, 5793, 1068, 1048, 1299, 4172, 7909, 1026, 1235, 18075, 1592, 1058, 1299, 1160, 1225, 4318, 2740, 3617, 1257, 1257, 12548, 10472, 2512, 1096, 1048, 1132, 25837, 1009, 16170, 1009, 4526, 5584, 31977, 1693, 18883, 1006, 4379, 7653, 1054, 1048, 1299, 2947, 7552, 1114, 1064, 3556, 1206, 1114, 14614, 20, 1063, 7107, 1416, 5816, 5934, 1043, 1044, 4526, 10578, 1069, 1890, 1006, 3696, 1846, 1048, 1094, 3838, 6841, 1009, 14614, 1058, 4312, 29784, 1054, 3403, 1009, 19742, 1063, 14614, 1516, 2072, 3596, 1048, 1026, 13333, 1160, 6409, 6631, 1006, 4361, 1068, 1026, 31449, 1766, 2493, 14150, 1009, 16170, 5584, 31977, 1693, 3823, 1026, 1622, 3654, 1068, 7386, 1026, 1235, 4526, 1060, 1064, 3556, 1206, 1060, 4208, 6413, 1005, 1299, 1298, 6423, 1114, 8442, 1054, 2574, 8410, 1257, 36, 3423, 1060, 29826, 1005, 5545, 1009, 13352, 14286, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1318, 1298, 2009, 3392, 15068, 1094, 1472, 1048, 1299, 1160, 1225, 1048, 18486, 1054, 25513, 29635, 1206, 3140, 1009, 8377, 1233, 13786, 1060, 8442, 20, 7804, 26508, 1371, 1009, 1048, 1299, 1225, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1054, 1235, 4361, 3752, 11388, 1206, 1541, 6277, 1005, 1299, 8285, 1493, 1853, 15359, 1068, 6180, 1043, 7636, 7653, 10678, 2905, 1114, 8442, 20, 1257, 1257, 1482, 24338, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1096, 1094, 1880, 2485, 1160, 1657, 1094, 4169, 20, 1073, 13278, 1118, 25513, 1009, 31615, 5052, 2593, 10513, 1069, 1068, 1006, 4044, 1206, 2011, 1206, 1006, 17621, 1009, 1094, 6117, 1206, 1495, 1592, 1058, 6388, 1068, 1094, 6115, 1096, 1044, 1807, 1033, 4401, 3098, 9596, 15215, 1109, 2389, 1005, 10801, 9225, 1114, 8442, 7, 1128, 2178, 1044, 1151, 9863, 10387, 1014, 31957, 1072, 6118, 1667, 1128, 2178, 1044, 3004, 1005, 10801, 7079, 1114, 8442, 1233, 23957, 1, 5452, 9830, 1616, 1005, 22900, 1233, 14346, 1603, 1006, 4380, 1096, 1848, 27701, 5336, 18570, 1150, 1146, 3297, 12252, 4584, 2100, 1257, 1063, 4114, 1990, 1049, 7632, 14494, 1221, 1298, 1178, 8283, 1294, 12724, 1049, 15044, 10315, 91, 8664, 1100, 10165, 1054, 1158, 15788, 1256, 21458, 3958, 8312, 1026, 8299, 14494, 1221, 1005, 11394, 1100, 4654, 2253, 24480, 21229, 1305, 5461, 10245, 1005, 19355, 1048, 6012, 10139, 11655, 4756, 8, 18100, 1495, 1592, 7266, 1018, 13944, 15, 1620, 1516, 16015, 4378, 4123, 1058, 1058, 12103, 1271, 2726, 3716, 14494, 3589, 1571, 9360, 15661, 23728, 1017, 1043, 10291, 1356, 3266, 4133, 1009, 3219, 8387, 5132, 13084, 3939, 32, 3413, 1565, 1138, 13346, 10707, 1096, 1026, 3872, 10833, 1049, 12901, 1048, 1620, 1325, 1847, 3778, 3004, 1114, 3909, 1165, 1185, 1126, 1005, 1998, 1096, 3778, 1009, 5143, 78, 1574, 12086, 78, 2231, 1075, 1495, 1026, 1852, 1009, 1941, 1104, 1344, 12105, 1189, 20, 1138, 13346, 10707, 1096, 3778, 1118, 4384, 26915, 1305, 2073, 13490, 6607, 1672, 1005, 1096, 15801, 1006, 1044, 3957, 1493, 31742, 7916, 1009, 11307, 1005, 6453, 8745, 1072, 3159, 1060, 3909, 1165, 1185, 1377, 1257, 1257, 5845, 1048, 12059, 1009, 1557, 1096, 1026, 7632, 11655, 4756, 3778, 1114, 3909, 1165, 14424, 6431, 15753, 2036, 2303, 1043, 1006, 1475, 6495, 8664, 1100, 1044, 15044, 10315, 91, 10165, 1054, 1158, 27770, 24480, 1006, 4840, 1009, 6012, 10139, 11655, 4756, 8, 1305, 15593, 2071, 7266, 1018, 6607, 5048, 1776, 2268, 1160, 1096, 15057, 1114, 7530, 1890, 1048, 12059, 1009, 1557, 1026, 7632, 11655, 4756, 1096, 3778, 1114, 3909, 1165, 14424, 2100, 1, 16152, 2068, 1114, 5500, 8141, 3943, 3872, 3124, 2017, 1054, 3132, 13134, 3850, 1048, 1058, 15679, 1461, 1159, 1094, 10617, 25496, 9452, 2909, 1044, 5274, 1009, 1048, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 2100, 4800, 1406, 3230, 4800, 14052, 1006, 14496, 4032, 6474, 1253, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 1096, 1026, 3872, 3124, 2017, 25496, 29578, 1054, 3132, 13134, 3850, 8, 4860, 27452, 1160, 4800, 14052, 1048, 1006, 14496, 4032, 6474, 1253, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 1096, 1026, 3872, 3124, 2017, 25496, 29578, 1054, 3132, 13134, 3850, 8, 1096, 4556, 1043, 2068, 1114, 5500, 8141, 1004, 3567, 1063, 5500, 8141, 1657, 5649, 1048, 15195, 1048, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 2909, 1026, 3872, 3124, 2017, 1048, 1058, 15679, 1461, 1159, 1094, 10617, 25496, 9452, 1114, 3132, 13134, 3850, 20, 2656, 3901, 14961, 1048, 1096, 1026, 3872, 3124, 2017, 25496, 29578, 1048, 3012, 13217, 1114, 3132, 13134, 3850, 20, 8470, 5265, 1734, 11145, 3398, 25496, 1626, 1010, 1054, 3132, 13134, 3850, 1048, 1160, 1826, 8042, 1043, 6525, 21433, 1005, 12917, 2914, 81, 3965, 10634, 1160, 4800, 1663, 1094, 8239, 7018, 1525, 1322, 1006, 14496, 8846, 1657, 1114, 5500, 8141, 9803, 2100, 1, 1505, 7855, 22900, 1233, 2511, 4960, 32, 2487, 17793, 32, 3316, 1271, 3145, 11855, 1009, 18293, 1096, 1006, 12420, 1009, 5715, 1141, 27819, 1054, 1044, 22748, 14327, 5715, 1141, 27819, 1005, 3606, 1318, 1693, 1178, 10142, 1009, 5715, 1762, 7096, 1170, 1206, 5715, 1160, 1028, 20951, 11595, 5715, 1160, 1028, 15379, 1847, 3606, 1054, 1094, 14577, 1693, 1160, 1261, 10741, 1544, 7959, 1072, 2017, 3050, 14377, 1026, 1048, 4279, 1048, 1569, 14164, 1058, 6645, 1040, 1005, 4973, 11085, 8273, 20, 2538, 11177, 1762, 7096, 1170, 1286, 19, 2632, 1095, 1040, 1124, 5715, 31747, 1068, 11613, 1554, 11693, 6236, 1124, 5715, 1762, 7096, 1170, 1327, 2072, 1680, 10952, 1580, 1054, 6313, 1054, 1044, 7620, 18602, 1048, 1006, 3610, 19616, 1096, 22992, 4593, 22865, 4331, 1565, 10849, 8417, 32, 1063, 3494, 3966, 6303, 25590, 2754, 5715, 1141, 27819, 1054, 1235, 16664, 2097, 9927, 24014, 1516, 1493, 23939, 1280, 1009, 1569, 5715, 1028, 20951, 20563, 1026, 19149, 12760, 22900, 6565, 1233, 2511, 4960, 32, 5344, 1908, 24950, 2444, 5715, 1160, 31747, 1068, 1026, 2191, 3563, 37, 1257, 21567, 2083, 57, 1253, 24014, 24950, 2444, 5715, 1160, 31747, 1068, 1026, 2191, 22748, 1, 11153, 1013, 6027, 1094, 8596, 1068, 1655, 23392, 1202, 5352, 74, 7839, 17996, 7113, 1720, 1060, 3970, 5602, 12838, 1005, 3913, 7863, 2656, 4230, 1009, 3326, 5454, 1998, 4230, 1187, 1858, 1060, 3970, 9561, 8017, 1668, 5203, 32, 18812, 32, 7216, 1026, 1720, 1060, 3970, 5602, 4211, 1878, 2426, 32, 7216, 1006, 2919, 1009, 10595, 9419, 2804, 25184, 32, 7216, 1325, 1006, 2919, 1009, 6982, 1068, 1006, 3913, 7863, 2804, 1447, 1107, 1132, 1858, 2453, 1049, 675, 5682, 5740, 1497, 32, 1138, 92, 1010, 1009, 5377, 1202, 5352, 10214, 4211, 1878, 2426, 32, 1101, 9053, 1229, 1015, 1672, 1008, 2537, 1126, 2804, 25184, 29489, 3130, 1106, 1889, 1132, 15953, 1054, 1094, 18151, 1623, 1005, 1080, 1889, 10113, 1043, 1044, 6560, 76, 1667, 4004, 1063, 1295, 1231, 1094, 21721, 16301, 1019, 15945, 1054, 7120, 2169, 4475, 5142, 13189, 25471, 1206, 9458, 1233, 21721, 1005, 1057, 2881, 85, 1810, 1068, 13256, 1130, 1006, 7202, 20, 6013, 2430, 1292, 2024, 1132, 15953, 1114, 21721, 1005, 7879, 71, 23054, 1043, 1094, 1249, 1653, 1814, 1495, 1048, 1132, 15953, 4444, 3791, 1402, 1495, 1026, 3330, 4626, 2270, 7819, 18438, 1281, 1043, 1963, 1005, 26603, 1006, 7482, 20, 9884, 4389, 1130, 1039, 6633, 1, 2034, 4496, 2156, 8155, 1327, 1124, 10529, 37, 1257, 2013, 16702, 1160, 15612, 1787, 1044, 8241, 37, 1257, 2013, 7492, 1160, 15612, 1787, 1044, 8241, 4777, 27452, 1124, 2156, 8155, 1160, 1327, 1124, 16201, 1728, 1063, 1944, 4960, 4960, 1058, 1096, 16702, 1160, 15612, 1787, 1044, 27505, 1026, 1048, 18168, 1048, 1298, 5265, 1094, 17688, 7492, 1009, 15612, 1787, 1044, 3724, 1802, 1063, 2750, 4960, 4960, 1058, 1096, 7492, 1160, 15612, 1787, 1044, 27505, 1026, 1048, 18168, 1048, 1160, 1298, 5265, 17688, 7492, 1009, 15612, 1787, 1044, 3724, 1802, 10634, 1124, 9605, 1006, 3592, 8155, 8651, 18011, 1, 22798, 7855, 22900, 1233, 2511, 4960, 32, 2654, 4647, 11140, 1006, 4008, 1187, 4988, 1009, 5470, 1094, 7530, 1005, 6679, 1006, 8155, 1322, 9282, 11230, 1411, 1118, 7855, 5924, 1094, 3593, 4960, 1068, 1006, 7530, 3943, 2751, 10744, 1009, 9368, 1048, 8935, 1006, 2093, 12386, 3841, 1005, 1026, 2497, 1096, 1026, 12844, 1009, 24151, 1692, 14313, 3509, 12844, 1009, 1128, 1075, 2758, 1024, 1699, 1349, 1048, 1096, 1026, 2277, 1184, 5906, 1069, 1060, 17342, 1005, 1026, 4284, 1009, 24151, 1692, 1096, 1026, 8313, 16030, 1714, 1184, 5906, 1069, 1060, 8809, 1068, 1006, 7747, 12707, 1017, 1005, 17477, 24151, 1692, 1225, 1094, 23104, 3444, 1009, 9736, 2223, 1138, 2751, 12557, 1009, 8994, 16158, 1577, 1096, 1006, 12868, 3132, 1917, 1248, 8705, 9533, 1005, 1026, 2751, 12557, 10241, 1009, 8994, 1005, 8880, 1096, 1006, 11111, 1227, 19774, 1809, 17293, 24151, 1692, 1318, 17365, 1006, 1184, 23104, 3444, 1009, 14244, 1223, 3569, 1060, 8809, 1005, 1225, 1006, 1712, 3444, 1009, 2318, 2753, 25920, 1049, 1784, 2100, 37, 1257, 1063, 12943, 1110, 5851, 1096, 1026, 1720, 1049, 2751, 10744, 1009, 9368, 1048, 8935, 1006, 2093, 12386, 3841, 1005, 1026, 2497, 1054, 24151, 1692, 37, 1, 3064, 1162, 1694, 1006, 2237, 14346, 1257, 2494, 10630, 10932, 1132, 2613, 1051, 16923, 1175, 20674, 3259, 1538, 1285, 1093, 4328, 16923, 8118, 2829, 13220, 2019, 84, 9363, 1009, 1428, 9865, 1206, 26637, 12654, 89, 2613, 1051, 16923, 2829, 13220, 1049, 9865, 12984, 30443, 1513, 4475, 5126, 2829, 8903, 1118, 1235, 5762, 14210, 1005, 2019, 84, 5361, 1890, 27388, 18085, 1005, 5323, 2765, 20, 1, 8454, 1094, 7565, 1048, 1096, 1322, 1044, 9868, 1043, 2252, 1124, 4496, 6847, 32, 1720, 1246, 3767, 26299, 9604, 4216, 14106, 1005, 1065, 9799, 1246, 23519, 9272, 1246, 4963, 2037, 6228, 1049, 4174, 1246, 13713, 2236, 1246, 3709, 1060, 4930, 2531, 1796, 1477, 1246, 10094, 4236, 1246, 31385, 1692, 18455, 2112, 10721, 1257, 17287, 2699, 2083, 40, 6351, 1269, 20323, 1096, 1044, 7483, 7479, 5062, 1072, 3709, 1060, 1641, 4236, 1049, 31385, 1692, 18455, 2112, 6227, 3947, 18984, 8670, 1634, 8107, 3702, 3241, 1094, 6167, 6228, 1009, 19139, 1, 20052, 6027, 1094, 12420, 1184, 1009, 1360, 2880, 1068, 14755, 3256, 11137, 1005, 10482, 1060, 11137, 1005, 10482, 1060, 1587, 4402, 1324, 23137, 4437, 1094, 2451, 14367, 1114, 5310, 1110, 26908, 1699, 1574, 1040, 2867, 89, 18714, 2159, 18377, 16874, 2430, 6087, 1253, 26209, 18, 23137, 20, 1096, 1094, 2451, 14367, 5548, 4725, 1114, 5310, 1048, 1058, 2127, 5604, 1114, 15411, 3090, 1005, 2935, 1009, 2539, 3195, 6623, 5345, 1063, 2451, 1195, 6754, 1054, 4210, 1043, 1026, 3489, 1009, 3823, 3195, 18177, 1009, 3596, 3450, 1006, 1094, 8962, 11818, 1009, 1634, 3693, 23492, 2966, 18914, 1961, 17372, 4405, 1005, 4428, 3424, 1257, 14755, 1699, 1574, 1040, 2867, 89, 1225, 1094, 2759, 1009, 18177, 9406, 23369, 1005, 26689, 1048, 1058, 3892, 1046, 1213, 3090, 1009, 3195, 18177, 5272, 1544, 1005, 31402, 1048, 7148, 1046, 1726, 6106, 1009, 1456, 19139, 1063, 2451, 1225, 1044, 3838, 7051, 1114, 3780, 1005, 20042, 1005, 2278, 1379, 12248, 1054, 6486, 1005, 9255, 1009, 13172 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7556, 2306, 1134, 7316, 1836, 1996, 1009, 1224, 19238, 1138, 2859, 1058, 20063, 3587, 1463, 6978, 1009, 9850, 1009, 1796, 1010, 1114, 16274, 1342, 1005, 1072, 5802, 1060, 3578, 22145, 3921, 20453, 89, 6928, 2646, 1054, 1224, 15899, 8106, 1006, 13744, 1005, 1026, 21959, 1009, 1134, 7316, 1327, 5534, 2585, 1160, 1837, 2266, 1322, 2306, 1687, 1836, 1996, 1009, 1224, 19238, 1, 8454, 1044, 4434, 1009, 4861, 1009, 11774, 2880, 1054, 1044, 2468, 2711, 2389, 1048, 9326, 1132, 6641, 1009, 1261, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1054, 1235, 31708, 5058, 2940, 1371, 1463, 7653, 9310, 1048, 1298, 18883, 1006, 4379, 18, 1159, 3659, 7552, 1114, 15408, 1377, 8017, 1210, 75, 1136, 2370, 7531, 1005, 7676, 1068, 1663, 18919, 1009, 1456, 3328, 1005, 3501, 75, 1026, 4434, 1043, 1044, 1011, 2144, 17490, 19, 10115, 14445, 1157, 1132, 12876, 1006, 8895, 1054, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1068, 1224, 3486, 3227, 1114, 8442, 27488, 1375, 1439, 1371, 1072, 2790, 1060, 8442, 1298, 1178, 1044, 1861, 1019, 10835, 4807, 1058, 1299, 5037, 10911, 1206, 1054, 1044, 2269, 6240, 4457, 2013, 1927, 18691, 1058, 10995, 1068, 5494, 18943, 5129, 1005, 1094, 3616, 1048, 2598, 1976, 2593, 23904, 1049, 1235, 19775, 1009, 13207, 1096, 1044, 4526, 31957, 1151, 9863, 10387, 2652, 3204, 4674, 7044, 1298, 2009, 3392, 1493, 4248, 15725, 5193, 1006, 5392, 1009, 1094, 4087, 4386, 14470, 2669, 1005, 14653, 1048, 1299, 1695, 2934, 1213, 1235, 5675, 1043, 21053, 1257, 2858, 1187, 3145, 6641, 1009, 1261, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1096, 1006, 5545, 1009, 6506, 1048, 3684, 1004, 3893, 12875, 1048, 1299, 1225, 1044, 4367, 1009, 18919, 1072, 2535, 1009, 1235, 7867, 1058, 7983, 1024, 1006, 1977, 3144, 11203, 8255, 1327, 24698, 1068, 4524, 1043, 2073, 2446, 1009, 9371, 1009, 18075, 1005, 1857, 1327, 18531, 1009, 2472, 5793, 1068, 1048, 1299, 4172, 7909, 1026, 1235, 18075, 1592, 1058, 1299, 1160, 1225, 4318, 2740, 3617, 1257, 1257, 12548, 10472, 2512, 1096, 1048, 1132, 25837, 1009, 16170, 1009, 4526, 5584, 31977, 1693, 18883, 1006, 4379, 7653, 1054, 1048, 1299, 2947, 7552, 1114, 1064, 3556, 1206, 1114, 14614, 20, 1063, 7107, 1416, 5816, 5934, 1043, 1044, 4526, 10578, 1069, 1890, 1006, 3696, 1846, 1048, 1094, 3838, 6841, 1009, 14614, 1058, 4312, 29784, 1054, 3403, 1009, 19742, 1063, 14614, 1516, 2072, 3596, 1048, 1026, 13333, 1160, 6409, 6631, 1006, 4361, 1068, 1026, 31449, 1766, 2493, 14150, 1009, 16170, 5584, 31977, 1693, 3823, 1026, 1622, 3654, 1068, 7386, 1026, 1235, 4526, 1060, 1064, 3556, 1206, 1060, 4208, 6413, 1005, 1299, 1298, 6423, 1114, 8442, 1054, 2574, 8410, 1257, 36, 3423, 1060, 29826, 1005, 5545, 1009, 13352, 14286, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1318, 1298, 2009, 3392, 15068, 1094, 1472, 1048, 1299, 1160, 1225, 1048, 18486, 1054, 25513, 29635, 1206, 3140, 1009, 8377, 1233, 13786, 1060, 8442, 20, 7804, 26508, 1371, 1009, 1048, 1299, 1225, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1054, 1235, 4361, 3752, 11388, 1206, 1541, 6277, 1005, 1299, 8285, 1493, 1853, 15359, 1068, 6180, 1043, 7636, 7653, 10678, 2905, 1114, 8442, 20, 1257, 1257, 1482, 24338, 1044, 4526, 31957, 1151, 9863, 10387, 1014, 1096, 1094, 1880, 2485, 1160, 1657, 1094, 4169, 20, 1073, 13278, 1118, 25513, 1009, 31615, 5052, 2593, 10513, 1069, 1068, 1006, 4044, 1206, 2011, 1206, 1006, 17621, 1009, 1094, 6117, 1206, 1495, 1592, 1058, 6388, 1068, 1094, 6115, 1096, 1044, 1807, 1033, 4401, 3098, 9596, 15215, 1109, 2389, 1005, 10801, 9225, 1114, 8442, 7, 1128, 2178, 1044, 1151, 9863, 10387, 1014, 31957, 1072, 6118, 1667, 1128, 2178, 1044, 3004, 1005, 10801, 7079, 1114, 8442, 1233, 23957, 1, 5452, 9830, 1616, 1005, 22900, 1233, 14346, 1603, 1006, 4380, 1096, 1848, 27701, 5336, 18570, 1150, 1146, 3297, 12252, 4584, 2100, 1257, 1063, 4114, 1990, 1049, 7632, 14494, 1221, 1298, 1178, 8283, 1294, 12724, 1049, 15044, 10315, 91, 8664, 1100, 10165, 1054, 1158, 15788, 1256, 21458, 3958, 8312, 1026, 8299, 14494, 1221, 1005, 11394, 1100, 4654, 2253, 24480, 21229, 1305, 5461, 10245, 1005, 19355, 1048, 6012, 10139, 11655, 4756, 8, 18100, 1495, 1592, 7266, 1018, 13944, 15, 1620, 1516, 16015, 4378, 4123, 1058, 1058, 12103, 1271, 2726, 3716, 14494, 3589, 1571, 9360, 15661, 23728, 1017, 1043, 10291, 1356, 3266, 4133, 1009, 3219, 8387, 5132, 13084, 3939, 32, 3413, 1565, 1138, 13346, 10707, 1096, 1026, 3872, 10833, 1049, 12901, 1048, 1620, 1325, 1847, 3778, 3004, 1114, 3909, 1165, 1185, 1126, 1005, 1998, 1096, 3778, 1009, 5143, 78, 1574, 12086, 78, 2231, 1075, 1495, 1026, 1852, 1009, 1941, 1104, 1344, 12105, 1189, 20, 1138, 13346, 10707, 1096, 3778, 1118, 4384, 26915, 1305, 2073, 13490, 6607, 1672, 1005, 1096, 15801, 1006, 1044, 3957, 1493, 31742, 7916, 1009, 11307, 1005, 6453, 8745, 1072, 3159, 1060, 3909, 1165, 1185, 1377, 1257, 1257, 5845, 1048, 12059, 1009, 1557, 1096, 1026, 7632, 11655, 4756, 3778, 1114, 3909, 1165, 14424, 6431, 15753, 2036, 2303, 1043, 1006, 1475, 6495, 8664, 1100, 1044, 15044, 10315, 91, 10165, 1054, 1158, 27770, 24480, 1006, 4840, 1009, 6012, 10139, 11655, 4756, 8, 1305, 15593, 2071, 7266, 1018, 6607, 5048, 1776, 2268, 1160, 1096, 15057, 1114, 7530, 1890, 1048, 12059, 1009, 1557, 1026, 7632, 11655, 4756, 1096, 3778, 1114, 3909, 1165, 14424, 2100, 1, 16152, 2068, 1114, 5500, 8141, 3943, 3872, 3124, 2017, 1054, 3132, 13134, 3850, 1048, 1058, 15679, 1461, 1159, 1094, 10617, 25496, 9452, 2909, 1044, 5274, 1009, 1048, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 2100, 4800, 1406, 3230, 4800, 14052, 1006, 14496, 4032, 6474, 1253, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 1096, 1026, 3872, 3124, 2017, 25496, 29578, 1054, 3132, 13134, 3850, 8, 4860, 27452, 1160, 4800, 14052, 1048, 1006, 14496, 4032, 6474, 1253, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 1096, 1026, 3872, 3124, 2017, 25496, 29578, 1054, 3132, 13134, 3850, 8, 1096, 4556, 1043, 2068, 1114, 5500, 8141, 1004, 3567, 1063, 5500, 8141, 1657, 5649, 1048, 15195, 1048, 6525, 21433, 1160, 2521, 6812, 1043, 12917, 2914, 10709, 2909, 1026, 3872, 3124, 2017, 1048, 1058, 15679, 1461, 1159, 1094, 10617, 25496, 9452, 1114, 3132, 13134, 3850, 20, 2656, 3901, 14961, 1048, 1096, 1026, 3872, 3124, 2017, 25496, 29578, 1048, 3012, 13217, 1114, 3132, 13134, 3850, 20, 8470, 5265, 1734, 11145, 3398, 25496, 1626, 1010, 1054, 3132, 13134, 3850, 1048, 1160, 1826, 8042, 1043, 6525, 21433, 1005, 12917, 2914, 81, 3965, 10634, 1160, 4800, 1663, 1094, 8239, 7018, 1525, 1322, 1006, 14496, 8846, 1657, 1114, 5500, 8141, 9803, 2100, 1, 1505, 7855, 22900, 1233, 2511, 4960, 32, 2487, 17793, 32, 3316, 1271, 3145, 11855, 1009, 18293, 1096, 1006, 12420, 1009, 5715, 1141, 27819, 1054, 1044, 22748, 14327, 5715, 1141, 27819, 1005, 3606, 1318, 1693, 1178, 10142, 1009, 5715, 1762, 7096, 1170, 1206, 5715, 1160, 1028, 20951, 11595, 5715, 1160, 1028, 15379, 1847, 3606, 1054, 1094, 14577, 1693, 1160, 1261, 10741, 1544, 7959, 1072, 2017, 3050, 14377, 1026, 1048, 4279, 1048, 1569, 14164, 1058, 6645, 1040, 1005, 4973, 11085, 8273, 20, 2538, 11177, 1762, 7096, 1170, 1286, 19, 2632, 1095, 1040, 1124, 5715, 31747, 1068, 11613, 1554, 11693, 6236, 1124, 5715, 1762, 7096, 1170, 1327, 2072, 1680, 10952, 1580, 1054, 6313, 1054, 1044, 7620, 18602, 1048, 1006, 3610, 19616, 1096, 22992, 4593, 22865, 4331, 1565, 10849, 8417, 32, 1063, 3494, 3966, 6303, 25590, 2754, 5715, 1141, 27819, 1054, 1235, 16664, 2097, 9927, 24014, 1516, 1493, 23939, 1280, 1009, 1569, 5715, 1028, 20951, 20563, 1026, 19149, 12760, 22900, 6565, 1233, 2511, 4960, 32, 5344, 1908, 24950, 2444, 5715, 1160, 31747, 1068, 1026, 2191, 3563, 37, 1257, 21567, 2083, 57, 1253, 24014, 24950, 2444, 5715, 1160, 31747, 1068, 1026, 2191, 22748, 1, 11153, 1013, 6027, 1094, 8596, 1068, 1655, 23392, 1202, 5352, 74, 7839, 17996, 7113, 1720, 1060, 3970, 5602, 12838, 1005, 3913, 7863, 2656, 4230, 1009, 3326, 5454, 1998, 4230, 1187, 1858, 1060, 3970, 9561, 8017, 1668, 5203, 32, 18812, 32, 7216, 1026, 1720, 1060, 3970, 5602, 4211, 1878, 2426, 32, 7216, 1006, 2919, 1009, 10595, 9419, 2804, 25184, 32, 7216, 1325, 1006, 2919, 1009, 6982, 1068, 1006, 3913, 7863, 2804, 1447, 1107, 1132, 1858, 2453, 1049, 675, 5682, 5740, 1497, 32, 1138, 92, 1010, 1009, 5377, 1202, 5352, 10214, 4211, 1878, 2426, 32, 1101, 9053, 1229, 1015, 1672, 1008, 2537, 1126, 2804, 25184, 29489, 3130, 1106, 1889, 1132, 15953, 1054, 1094, 18151, 1623, 1005, 1080, 1889, 10113, 1043, 1044, 6560, 76, 1667, 4004, 1063, 1295, 1231, 1094, 21721, 16301, 1019, 15945, 1054, 7120, 2169, 4475, 5142, 13189, 25471, 1206, 9458, 1233, 21721, 1005, 1057, 2881, 85, 1810, 1068, 13256, 1130, 1006, 7202, 20, 6013, 2430, 1292, 2024, 1132, 15953, 1114, 21721, 1005, 7879, 71, 23054, 1043, 1094, 1249, 1653, 1814, 1495, 1048, 1132, 15953, 4444, 3791, 1402, 1495, 1026, 3330, 4626, 2270, 7819, 18438, 1281, 1043, 1963, 1005, 26603, 1006, 7482, 20, 9884, 4389, 1130, 1039, 6633, 1, 2034, 4496, 2156, 8155, 1327, 1124, 10529, 37, 1257, 2013, 16702, 1160, 15612, 1787, 1044, 8241, 37, 1257, 2013, 7492, 1160, 15612, 1787, 1044, 8241, 4777, 27452, 1124, 2156, 8155, 1160, 1327, 1124, 16201, 1728, 1063, 1944, 4960, 4960, 1058, 1096, 16702, 1160, 15612, 1787, 1044, 27505, 1026, 1048, 18168, 1048, 1298, 5265, 1094, 17688, 7492, 1009, 15612, 1787, 1044, 3724, 1802, 1063, 2750, 4960, 4960, 1058, 1096, 7492, 1160, 15612, 1787, 1044, 27505, 1026, 1048, 18168, 1048, 1160, 1298, 5265, 17688, 7492, 1009, 15612, 1787, 1044, 3724, 1802, 10634, 1124, 9605, 1006, 3592, 8155, 8651, 18011, 1, 22798, 7855, 22900, 1233, 2511, 4960, 32, 2654, 4647, 11140, 1006, 4008, 1187, 4988, 1009, 5470, 1094, 7530, 1005, 6679, 1006, 8155, 1322, 9282, 11230, 1411, 1118, 7855, 5924, 1094, 3593, 4960, 1068, 1006, 7530, 3943, 2751, 10744, 1009, 9368, 1048, 8935, 1006, 2093, 12386, 3841, 1005, 1026, 2497, 1096, 1026, 12844, 1009, 24151, 1692, 14313, 3509, 12844, 1009, 1128, 1075, 2758, 1024, 1699, 1349, 1048, 1096, 1026, 2277, 1184, 5906, 1069, 1060, 17342, 1005, 1026, 4284, 1009, 24151, 1692, 1096, 1026, 8313, 16030, 1714, 1184, 5906, 1069, 1060, 8809, 1068, 1006, 7747, 12707, 1017, 1005, 17477, 24151, 1692, 1225, 1094, 23104, 3444, 1009, 9736, 2223, 1138, 2751, 12557, 1009, 8994, 16158, 1577, 1096, 1006, 12868, 3132, 1917, 1248, 8705, 9533, 1005, 1026, 2751, 12557, 10241, 1009, 8994, 1005, 8880, 1096, 1006, 11111, 1227, 19774, 1809, 17293, 24151, 1692, 1318, 17365, 1006, 1184, 23104, 3444, 1009, 14244, 1223, 3569, 1060, 8809, 1005, 1225, 1006, 1712, 3444, 1009, 2318, 2753, 25920, 1049, 1784, 2100, 37, 1257, 1063, 12943, 1110, 5851, 1096, 1026, 1720, 1049, 2751, 10744, 1009, 9368, 1048, 8935, 1006, 2093, 12386, 3841, 1005, 1026, 2497, 1054, 24151, 1692, 37, 1, 3064, 1162, 1694, 1006, 2237, 14346, 1257, 2494, 10630, 10932, 1132, 2613, 1051, 16923, 1175, 20674, 3259, 1538, 1285, 1093, 4328, 16923, 8118, 2829, 13220, 2019, 84, 9363, 1009, 1428, 9865, 1206, 26637, 12654, 89, 2613, 1051, 16923, 2829, 13220, 1049, 9865, 12984, 30443, 1513, 4475, 5126, 2829, 8903, 1118, 1235, 5762, 14210, 1005, 2019, 84, 5361, 1890, 27388, 18085, 1005, 5323, 2765, 20, 1, 8454, 1094, 7565, 1048, 1096, 1322, 1044, 9868, 1043, 2252, 1124, 4496, 6847, 32, 1720, 1246, 3767, 26299, 9604, 4216, 14106, 1005, 1065, 9799, 1246, 23519, 9272, 1246, 4963, 2037, 6228, 1049, 4174, 1246, 13713, 2236, 1246, 3709, 1060, 4930, 2531, 1796, 1477, 1246, 10094, 4236, 1246, 31385, 1692, 18455, 2112, 10721, 1257, 17287, 2699, 2083, 40, 6351, 1269, 20323, 1096, 1044, 7483, 7479, 5062, 1072, 3709, 1060, 1641, 4236, 1049, 31385, 1692, 18455, 2112, 6227, 3947, 18984, 8670, 1634, 8107, 3702, 3241, 1094, 6167, 6228, 1009, 19139, 1, 20052, 6027, 1094, 12420, 1184, 1009, 1360, 2880, 1068, 14755, 3256, 11137, 1005, 10482, 1060, 11137, 1005, 10482, 1060, 1587, 4402, 1324, 23137, 4437, 1094, 2451, 14367, 1114, 5310, 1110, 26908, 1699, 1574, 1040, 2867, 89, 18714, 2159, 18377, 16874, 2430, 6087, 1253, 26209, 18, 23137, 20, 1096, 1094, 2451, 14367, 5548, 4725, 1114, 5310, 1048, 1058, 2127, 5604, 1114, 15411, 3090, 1005, 2935, 1009, 2539, 3195, 6623, 5345, 1063, 2451, 1195, 6754, 1054, 4210, 1043, 1026, 3489, 1009, 3823, 3195, 18177, 1009, 3596, 3450, 1006, 1094, 8962, 11818, 1009, 1634, 3693, 23492, 2966, 18914, 1961, 17372, 4405, 1005, 4428, 3424, 1257, 14755, 1699, 1574, 1040, 2867, 89, 1225, 1094, 2759, 1009, 18177, 9406, 23369, 1005, 26689, 1048, 1058, 3892, 1046, 1213, 3090, 1009, 3195, 18177, 5272, 1544, 1005, 31402, 1048, 7148, 1046, 1726, 6106, 1009, 1456, 19139, 1063, 2451, 1225, 1044, 3838, 7051, 1114, 3780, 1005, 20042, 1005, 2278, 1379, 12248, 1054, 6486, 1005, 9255, 1009, 13172 ]

[ 2996, 4892, 69, 10970, 89, 8118, 1159, 17664, 1898, 675, 675, 675, 3093, 2637, 5125, 2771, 1138, 2991, 2674, 1697, 1006, 1246, 1030, 4794, 11183, 1120, 10024, 9333, 2771, 1005, 2674, 1697, 1043, 1030, 4794, 5598, 6582, 13597, 2996, 89, 23, 8118, 1159, 17664, 1898, 675, 675, 675, 1006, 1246, 1030, 4794, 11183, 1120, 10024, 9333, 2771, 10369, 1261, 1026, 1592, 5654, 17434, 1118, 1048, 15011, 1697, 8615, 6582, 13597, 2264, 37, 22885, 3489, 1009, 2071, 1026, 1741, 5598, 6582, 13597, 70, 1072, 1030, 10538, 11117, 1096, 12228, 1026, 9498, 23905, 2299, 1845, 80, 2783, 1006, 30569, 3392, 1124, 6444, 9230, 1054, 1044, 1720, 15179, 1068, 1048, 2374, 1184, 4445, 19414, 1005, 4966, 1006, 3023, 1049, 9498, 7542, 3018, 1058, 1299, 6678, 2754, 14688, 1054, 1224, 3444, 4208, 5375, 18, 4291, 30569, 3392, 1175, 1016, 1054, 1044, 3872, 17664, 1009, 1720, 1159, 7233, 27844, 69, 3451, 1248, 1406, 1068, 1048, 2374, 4445, 1419, 1026, 7246, 1365, 1857, 8127, 2668, 1132, 2617, 1334, 1009, 1720, 1318, 12807, 1006, 7190, 5169, 2711, 4535, 8863, 1068, 1124, 6444, 2453, 13216, 1026, 1048, 1298, 1178, 7048, 1213, 10388, 10577, 1206, 19414, 1026, 9498, 3942, 2991, 1048, 1299, 2185, 12850, 3360, 1006, 8859, 7903, 2950, 1124, 6444, 1072, 17664, 1049, 1720, 2643, 1026, 1592, 5654, 4322, 2268, 1233, 4375, 1048, 1026, 9498, 23905, 2299, 1058, 6293, 1712, 1005, 1184, 4370, 1100, 6293, 3224, 1184, 2512, 2071, 2617, 1334, 1009, 1720, 1068, 12228, 1005, 4966, 1006, 3023, 1049, 1086, 2761, 3617, 1, 1138, 1048, 1096, 1094, 4960, 1068, 1006, 1428, 1006, 3484, 1096, 1538, 60, 1070, 4869, 3811, 8355, 4857, 1791, 9504, 1009, 6195, 26650, 18, 1118, 1569, 12749, 1054, 18, 1163, 2578, 8532, 2186, 21397, 1967, 5235, 15, 1005, 1072, 2403, 18049, 1044, 2318, 1222, 3509, 2430, 1336, 1967, 14392, 1565, 13, 8652, 2688, 1791, 11409, 14763, 4869, 3811, 8355, 17229, 17229, 9504, 1009, 6195, 26650, 37, 1, 2760, 3735, 15011, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 1568, 15619, 31397, 3158, 5442, 8, 23568, 2048, 4495, 7571, 1009, 3918, 6010, 18, 4800, 5149, 2350, 6847, 1114, 1186, 41, 2110, 36, 22692, 2264, 4723, 1140, 1005, 2350, 6847, 1114, 8626, 1697, 1858, 2264, 5369, 3102, 1857, 1058, 13243, 21527, 1006, 2323, 1060, 8627, 2328, 1060, 1186, 74, 2836, 36, 2122, 5231, 9453, 1206, 4473, 1072, 1592, 1969, 1667, 132, 1493, 4330, 2270, 8012, 1505, 14817, 5354, 22459, 1246, 12043, 23330, 9717, 13211, 95, 19737, 1697, 4266, 26523, 3035, 13733, 15, 1824, 675, 675, 7424, 4821, 1253, 1246, 21167, 675, 675, 6731, 5403, 11128, 1571, 1697, 25353, 13733, 2264, 1096, 1094, 4336, 4723, 2166, 1697, 31784, 1157, 2264, 1096, 1094, 4336, 1057, 17663, 8012, 11591, 3473, 5579, 1009, 1663, 2637, 7155, 2290, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 1491, 3515, 1129, 31397, 3158, 5442, 8, 23568, 4495, 7571, 1060, 8902, 6010, 27177, 3018, 1068, 11074, 2326, 4897, 5328, 1309, 1571, 1697, 2533, 3263, 2264, 1096, 1044, 3820, 9750, 1160, 1044, 4941, 1068, 1044, 5119, 3017, 11037, 10679, 1697, 4266, 6266, 1165, 1021, 17293, 3035, 13733, 15, 1824, 675, 675, 2533, 3263, 20, 4821, 1253, 1246, 21167, 675, 675, 6731, 5403, 11128, 1138, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 1491, 2171, 1171, 18481, 2953, 31397, 3158, 5442, 9, 1491, 2171, 1171, 8, 23568, 4495, 1697, 2264, 6010, 3147, 1096, 3885, 1096, 1006, 4081, 18, 2246, 8089, 1697, 2217, 2264, 1005, 1235, 2490, 2177, 6255, 3630, 1009, 2071, 1009, 1697, 1668, 2264, 1072, 2991, 26329, 16455, 1096, 2481, 3524, 14426, 7155, 1114, 7571, 1009, 8902, 2301, 1006, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 3655, 28120, 1241, 3158, 5442, 9, 3655, 8, 23568, 2048, 4495, 1697, 2217, 2190, 6010, 21704, 1068, 2837, 3408, 1057, 4535, 1005, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 5329, 1606, 31397, 3158, 5442, 9, 5329, 1606, 8, 22536, 44, 1014, 10455, 1697, 14422, 1582, 2264, 6010, 21704, 1068, 13527, 1026, 8336, 6354, 1325, 1044, 18942, 1697, 10234, 1562, 3655, 18, 1057, 2389, 99, 1009, 1538, 92, 3200, 25202, 1774, 4664, 4308, 1824, 675, 13527, 25692, 1824, 675, 675, 675, 1644, 2533, 3263, 1246, 1057, 2636, 14746, 675, 675, 675, 675, 675, 27039, 13733, 32, 7443, 5, 675, 675, 675, 675, 675, 31784, 1157, 32, 7339, 2351, 5, 675, 675, 675, 23918, 675, 675, 675, 4266, 6266, 1165, 3263, 20, 3035, 1263, 9308, 9146, 15, 1824, 675, 675, 675, 675, 675, 2533, 3263, 20, 4821, 1253, 1246, 21167, 675, 675, 675, 675, 675, 6731, 675, 675, 675, 5252, 675, 675, 675, 4845, 1824, 675, 675, 675, 675, 675, 2533, 27911, 2936, 21287, 1006, 2533, 3263, 1213, 2550, 5, 675, 675, 675, 28799, 675, 10925, 99, 15572, 27690, 3018, 15011, 1006, 2562, 1697, 1057, 2636, 2264, 1068, 2837, 1044, 3820, 1057, 2389, 3509, 1697, 2533, 3263, 2264, 1005, 3635, 3033, 1569, 6847, 1043, 3408, 4308, 4964, 4702, 2453, 1060, 2562, 1697, 14422, 1582, 9453, 4800, 6811, 1005, 8924, 3592, 2782, 3827, 1400, 1159, 6516, 8587, 1043, 1044, 3820, 5416, 19425, 2464, 2246, 1697, 2533, 3263, 20, 3035, 13733, 2264, 1096, 1044, 2161, 1057, 9086, 10395, 6811, 1235, 2161, 1043, 1697, 2533, 3263, 20, 3035, 1263, 9308, 9146, 2264, 8127, 2668, 2470, 1508, 1697, 2533, 3263, 2264, 1060, 2562, 1697, 14422, 1582, 2264, 1068, 7004, 150, 10102, 1072, 2550, 1049, 5119, 6633, 1, 2760, 2654, 2490, 1026, 25832, 12969, 4266, 9206, 32, 2674, 1697, 2052, 26828, 15, 2124, 26919, 13950, 2061, 1824, 675, 675, 675, 2052, 1071, 2100, 4266, 9206, 8180, 25832, 7132, 16990, 1174, 9206, 32, 21755, 8759, 32, 1150, 4705, 11, 1406, 4464, 32, 1150, 5562, 11, 1406, 30417, 1174, 9206, 32, 8320, 15918, 24805, 2771, 2494, 2348, 2750, 22833, 2449, 1044, 3805, 1627, 1571, 4647, 19532, 3473, 3289, 1005, 1846, 1060, 17578, 4647, 11853, 1006, 8227, 1049, 6980, 20, 2674, 1697, 1283, 1522, 13895, 8173, 1246, 8739, 5873, 8, 1564, 1246, 5083, 12882, 8, 9115, 1246, 6373, 1208, 11757, 5873, 8, 8910, 7944, 2771, 1005, 1026, 5935, 2674, 1697, 2052, 26828, 15, 2124, 26919, 13950, 2061, 8884, 675, 675, 675, 2052, 19463, 89, 3257, 1069, 8180, 1080, 1917, 2996, 1781, 2059, 2820, 9025, 2061, 8884, 675, 675, 675, 675, 675, 675, 675, 2020, 12064, 9519, 10524, 2703, 13950, 5458, 675, 675, 675, 675, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2052, 2124, 1971, 2005, 5953, 18372, 3625, 675, 675, 675, 675, 675, 675, 675, 25284, 2971, 1254, 4035, 675, 675, 675, 675, 675, 675, 675, 9225, 2996, 2109, 27103, 675, 675, 675, 23918, 24805, 7125, 2267, 2550, 1009, 3813, 1060, 1063, 5529, 1160, 6581, 21211, 1043, 1224, 3922, 1005, 11140, 1235, 2326, 4322, 2268, 1043, 2068, 1072, 2326, 2185, 2647, 3449, 1048, 1299, 5902, 11853, 1006, 8227, 1156, 23782, 1049, 25832, 12969, 1846, 1009, 5719, 3473, 3597, 1213, 12980, 1072, 5646, 6373, 1208, 11757, 5873, 8, 19325, 2326, 3449, 2631, 1005, 1976, 8347, 5219, 1026, 12562, 1845, 4253, 1009, 9225, 2177, 13933, 1992, 1048, 1026, 5646, 1234, 27921, 1599, 10475, 1118, 1044, 15069, 1009, 22344, 9354, 2170, 1054, 4702, 1006, 8227, 1049, 17527, 56, 25034, 1049, 25832, 12969, 1976, 11853, 9414, 3616, 1006, 10698, 1096, 2464, 1159, 1299, 22403, 1006, 4169, 6809, 1593, 1174, 9206, 8, 1159, 30529, 1006, 10352, 4958, 1298, 4480, 1184, 1557, 1068, 3501, 3144, 2066, 1298, 5319, 1026, 1557, 1009, 15069, 1068, 3871, 1048, 1006, 10352, 5553, 19583, 1996, 1060, 13550, 1060, 8227, 3942, 5661, 1235, 2326, 3449, 2631, 1005, 1976, 8347, 1159, 2540, 9780, 1, 7672, 1096, 6757, 81, 12856, 1528, 4777, 46, 8064, 12856, 1528, 1516, 1044, 8282, 5414, 1005, 29748, 9171, 1005, 5548, 1009, 16226, 1184, 3201, 1159, 16750, 2751, 1049, 2417, 6757, 81, 12856, 1528, 1005, 18592, 84, 3626, 1248, 3172, 5810, 1054, 1578, 1009, 3113, 1009, 22942, 1005, 6229, 1054, 1101, 1009, 3261, 1009, 22564, 2200, 1096, 5077, 1044, 1187, 11400, 1689, 1009, 7138, 2159, 13471, 5972, 1005, 1569, 6258, 1009, 3189, 5241, 3598, 31856, 28876, 11921, 1434, 1406, 2951, 84, 19143, 5561, 1167, 1063, 12326, 13493, 1005, 8, 8822, 12414, 1105, 1406, 1048, 1184, 3232, 1195, 4114, 3723, 1118, 1574, 1529, 4387, 19561, 2652, 675, 2, 3705, 1048, 12856, 1528, 2521, 37, 46, 8064, 12856, 1528, 1516, 1044, 8282, 1005, 8187, 1009, 19453, 1400, 9171, 1005, 5548, 1009, 16226, 3201, 1118, 1569, 6258, 1009, 12788, 2966, 9445, 2720, 18067, 1082, 1324, 11921, 1434, 1406, 2951, 84, 19143, 2569, 1044, 10425, 8, 1005, 7426, 12414, 1105, 8, 3172, 1096, 5077, 1044, 1187, 11400, 1689, 1049, 7204, 2159, 1484, 2796, 20, 675, 2, 1257, 5182, 23407, 1006, 7673, 3160, 21311, 1063, 32, 2013, 7296, 1159, 1006, 25897, 22506, 1058, 4312, 1184, 4114, 1846, 1048, 1026, 14747, 1348, 9477, 1810, 1026, 2736, 4131, 2378, 21311, 1106, 32, 14001, 1096, 1094, 28899, 1159, 1726, 2624, 1044, 6035, 1298, 4480, 1094, 2423, 1005, 30119, 10102, 1620, 1712, 2378, 21311, 1063, 32, 1084, 1160, 1096, 1159, 1058, 1026, 1574, 1529, 4387, 25669, 5378, 2080, 1993, 3360, 1006, 2423, 9123, 1493, 20717, 1043, 1026, 3462, 2378, 21311, 1106, 32, 2013, 7443, 1309, 5956, 1048, 1264, 2257, 1184, 17204, 1005, 17993, 1365, 1026, 2999, 21971, 2378, 21311, 1063, 32, 3782, 1381, 1786, 4457, 132, 1094, 5865, 2464, 1726, 6236, 1132, 6353, 12951, 1160, 1825, 1046, 1026, 7970, 1048, 27614, 2378, 21311, 1106, 32, 2654, 1572, 2118, 28081, 1356, 2790, 4286, 4547, 1356, 2444, 1124, 1783, 1620, 22002, 1026, 1720, 1009, 6757, 81, 12856, 1528, 1005, 1224, 12236, 1068, 1026, 4796, 1009, 7204, 2159, 1484, 2796, 20, 675, 2, 1257, 7281, 3661, 1702, 6859, 14129, 2449, 21349, 1309, 7009, 5753, 2900, 2459, 2036, 2303, 1043, 2348, 15411, 6757, 81, 12856, 1528, 1195, 4434, 1036, 1278, 21423, 1072, 9792, 1060, 31205, 1049, 7138, 2159, 16022, 1054, 27008, 675, 2, 11356, 1571, 1264, 1516, 37, 46, 8064, 12856, 1528, 1516, 1009, 25059, 14184, 7144, 1122, 11095, 675, 2, 1257, 7281, 2257, 1702, 6650, 14129, 2449, 21349, 1030, 18777, 1048, 7508, 1616, 3038, 1631, 1048, 3002, 2808, 18, 1160, 3449, 1048, 1264, 3241, 7668, 1554, 1, 2760, 2654, 2449, 1044, 4674, 2863, 1043, 1026, 2380, 1009, 14160, 1009, 29613, 17755, 18, 2449, 1094, 2618, 1048, 1225, 5933, 1009, 14160, 1043, 2156, 22113, 1043, 1502, 3752, 74, 19, 2443, 2364, 1026, 2863, 1096, 1511, 1503, 29274, 2092, 9740, 1184, 1009, 8934, 2092, 17591, 1005, 3583, 1325, 1058, 24357, 1068, 54, 88, 7121, 1549, 2618, 6261, 4647, 1048, 1857, 25847, 1072, 1592, 2269, 1026, 1557, 13877, 1026, 29274, 1160, 1976, 13584, 1006, 3621, 1271, 1064, 24007, 2654, 8476, 2071, 1026, 26790, 21552, 57, 29686, 1309, 1160, 26502, 2267, 3002, 6931, 2122, 8161, 2301, 1026, 29613, 17755, 37, 2240, 1804, 8376, 5442, 2674, 1697, 1283, 1522, 1863, 2388, 1246, 6954, 2456, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 22589, 159, 8648, 1502, 3752, 74, 11088, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 27185, 6179, 5432, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 23579, 7852, 1246, 24525, 3752, 74, 7942, 8, 1283, 1840, 13823, 1787, 1026, 8566, 2733, 32, 1283, 2508, 23502, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 24525, 3752, 74, 11625, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 6954, 2456, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 24525, 26445, 89, 7942, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 13895, 7852, 1246, 5707, 1958, 28534, 4690, 8, 20670, 3752, 8054, 1246, 1150, 3308 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2996, 4892, 69, 10970, 89, 8118, 1159, 17664, 1898, 675, 675, 675, 3093, 2637, 5125, 2771, 1138, 2991, 2674, 1697, 1006, 1246, 1030, 4794, 11183, 1120, 10024, 9333, 2771, 1005, 2674, 1697, 1043, 1030, 4794, 5598, 6582, 13597, 2996, 89, 23, 8118, 1159, 17664, 1898, 675, 675, 675, 1006, 1246, 1030, 4794, 11183, 1120, 10024, 9333, 2771, 10369, 1261, 1026, 1592, 5654, 17434, 1118, 1048, 15011, 1697, 8615, 6582, 13597, 2264, 37, 22885, 3489, 1009, 2071, 1026, 1741, 5598, 6582, 13597, 70, 1072, 1030, 10538, 11117, 1096, 12228, 1026, 9498, 23905, 2299, 1845, 80, 2783, 1006, 30569, 3392, 1124, 6444, 9230, 1054, 1044, 1720, 15179, 1068, 1048, 2374, 1184, 4445, 19414, 1005, 4966, 1006, 3023, 1049, 9498, 7542, 3018, 1058, 1299, 6678, 2754, 14688, 1054, 1224, 3444, 4208, 5375, 18, 4291, 30569, 3392, 1175, 1016, 1054, 1044, 3872, 17664, 1009, 1720, 1159, 7233, 27844, 69, 3451, 1248, 1406, 1068, 1048, 2374, 4445, 1419, 1026, 7246, 1365, 1857, 8127, 2668, 1132, 2617, 1334, 1009, 1720, 1318, 12807, 1006, 7190, 5169, 2711, 4535, 8863, 1068, 1124, 6444, 2453, 13216, 1026, 1048, 1298, 1178, 7048, 1213, 10388, 10577, 1206, 19414, 1026, 9498, 3942, 2991, 1048, 1299, 2185, 12850, 3360, 1006, 8859, 7903, 2950, 1124, 6444, 1072, 17664, 1049, 1720, 2643, 1026, 1592, 5654, 4322, 2268, 1233, 4375, 1048, 1026, 9498, 23905, 2299, 1058, 6293, 1712, 1005, 1184, 4370, 1100, 6293, 3224, 1184, 2512, 2071, 2617, 1334, 1009, 1720, 1068, 12228, 1005, 4966, 1006, 3023, 1049, 1086, 2761, 3617, 1, 1138, 1048, 1096, 1094, 4960, 1068, 1006, 1428, 1006, 3484, 1096, 1538, 60, 1070, 4869, 3811, 8355, 4857, 1791, 9504, 1009, 6195, 26650, 18, 1118, 1569, 12749, 1054, 18, 1163, 2578, 8532, 2186, 21397, 1967, 5235, 15, 1005, 1072, 2403, 18049, 1044, 2318, 1222, 3509, 2430, 1336, 1967, 14392, 1565, 13, 8652, 2688, 1791, 11409, 14763, 4869, 3811, 8355, 17229, 17229, 9504, 1009, 6195, 26650, 37, 1, 2760, 3735, 15011, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 1568, 15619, 31397, 3158, 5442, 8, 23568, 2048, 4495, 7571, 1009, 3918, 6010, 18, 4800, 5149, 2350, 6847, 1114, 1186, 41, 2110, 36, 22692, 2264, 4723, 1140, 1005, 2350, 6847, 1114, 8626, 1697, 1858, 2264, 5369, 3102, 1857, 1058, 13243, 21527, 1006, 2323, 1060, 8627, 2328, 1060, 1186, 74, 2836, 36, 2122, 5231, 9453, 1206, 4473, 1072, 1592, 1969, 1667, 132, 1493, 4330, 2270, 8012, 1505, 14817, 5354, 22459, 1246, 12043, 23330, 9717, 13211, 95, 19737, 1697, 4266, 26523, 3035, 13733, 15, 1824, 675, 675, 7424, 4821, 1253, 1246, 21167, 675, 675, 6731, 5403, 11128, 1571, 1697, 25353, 13733, 2264, 1096, 1094, 4336, 4723, 2166, 1697, 31784, 1157, 2264, 1096, 1094, 4336, 1057, 17663, 8012, 11591, 3473, 5579, 1009, 1663, 2637, 7155, 2290, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 1491, 3515, 1129, 31397, 3158, 5442, 8, 23568, 4495, 7571, 1060, 8902, 6010, 27177, 3018, 1068, 11074, 2326, 4897, 5328, 1309, 1571, 1697, 2533, 3263, 2264, 1096, 1044, 3820, 9750, 1160, 1044, 4941, 1068, 1044, 5119, 3017, 11037, 10679, 1697, 4266, 6266, 1165, 1021, 17293, 3035, 13733, 15, 1824, 675, 675, 2533, 3263, 20, 4821, 1253, 1246, 21167, 675, 675, 6731, 5403, 11128, 1138, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 1491, 2171, 1171, 18481, 2953, 31397, 3158, 5442, 9, 1491, 2171, 1171, 8, 23568, 4495, 1697, 2264, 6010, 3147, 1096, 3885, 1096, 1006, 4081, 18, 2246, 8089, 1697, 2217, 2264, 1005, 1235, 2490, 2177, 6255, 3630, 1009, 2071, 1009, 1697, 1668, 2264, 1072, 2991, 26329, 16455, 1096, 2481, 3524, 14426, 7155, 1114, 7571, 1009, 8902, 2301, 1006, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 3655, 28120, 1241, 3158, 5442, 9, 3655, 8, 23568, 2048, 4495, 1697, 2217, 2190, 6010, 21704, 1068, 2837, 3408, 1057, 4535, 1005, 6331, 8213, 92, 2308, 92, 3200, 80, 1916, 23443, 16506, 21, 5329, 1606, 31397, 3158, 5442, 9, 5329, 1606, 8, 22536, 44, 1014, 10455, 1697, 14422, 1582, 2264, 6010, 21704, 1068, 13527, 1026, 8336, 6354, 1325, 1044, 18942, 1697, 10234, 1562, 3655, 18, 1057, 2389, 99, 1009, 1538, 92, 3200, 25202, 1774, 4664, 4308, 1824, 675, 13527, 25692, 1824, 675, 675, 675, 1644, 2533, 3263, 1246, 1057, 2636, 14746, 675, 675, 675, 675, 675, 27039, 13733, 32, 7443, 5, 675, 675, 675, 675, 675, 31784, 1157, 32, 7339, 2351, 5, 675, 675, 675, 23918, 675, 675, 675, 4266, 6266, 1165, 3263, 20, 3035, 1263, 9308, 9146, 15, 1824, 675, 675, 675, 675, 675, 2533, 3263, 20, 4821, 1253, 1246, 21167, 675, 675, 675, 675, 675, 6731, 675, 675, 675, 5252, 675, 675, 675, 4845, 1824, 675, 675, 675, 675, 675, 2533, 27911, 2936, 21287, 1006, 2533, 3263, 1213, 2550, 5, 675, 675, 675, 28799, 675, 10925, 99, 15572, 27690, 3018, 15011, 1006, 2562, 1697, 1057, 2636, 2264, 1068, 2837, 1044, 3820, 1057, 2389, 3509, 1697, 2533, 3263, 2264, 1005, 3635, 3033, 1569, 6847, 1043, 3408, 4308, 4964, 4702, 2453, 1060, 2562, 1697, 14422, 1582, 9453, 4800, 6811, 1005, 8924, 3592, 2782, 3827, 1400, 1159, 6516, 8587, 1043, 1044, 3820, 5416, 19425, 2464, 2246, 1697, 2533, 3263, 20, 3035, 13733, 2264, 1096, 1044, 2161, 1057, 9086, 10395, 6811, 1235, 2161, 1043, 1697, 2533, 3263, 20, 3035, 1263, 9308, 9146, 2264, 8127, 2668, 2470, 1508, 1697, 2533, 3263, 2264, 1060, 2562, 1697, 14422, 1582, 2264, 1068, 7004, 150, 10102, 1072, 2550, 1049, 5119, 6633, 1, 2760, 2654, 2490, 1026, 25832, 12969, 4266, 9206, 32, 2674, 1697, 2052, 26828, 15, 2124, 26919, 13950, 2061, 1824, 675, 675, 675, 2052, 1071, 2100, 4266, 9206, 8180, 25832, 7132, 16990, 1174, 9206, 32, 21755, 8759, 32, 1150, 4705, 11, 1406, 4464, 32, 1150, 5562, 11, 1406, 30417, 1174, 9206, 32, 8320, 15918, 24805, 2771, 2494, 2348, 2750, 22833, 2449, 1044, 3805, 1627, 1571, 4647, 19532, 3473, 3289, 1005, 1846, 1060, 17578, 4647, 11853, 1006, 8227, 1049, 6980, 20, 2674, 1697, 1283, 1522, 13895, 8173, 1246, 8739, 5873, 8, 1564, 1246, 5083, 12882, 8, 9115, 1246, 6373, 1208, 11757, 5873, 8, 8910, 7944, 2771, 1005, 1026, 5935, 2674, 1697, 2052, 26828, 15, 2124, 26919, 13950, 2061, 8884, 675, 675, 675, 2052, 19463, 89, 3257, 1069, 8180, 1080, 1917, 2996, 1781, 2059, 2820, 9025, 2061, 8884, 675, 675, 675, 675, 675, 675, 675, 2020, 12064, 9519, 10524, 2703, 13950, 5458, 675, 675, 675, 675, 675, 675, 675, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2052, 2124, 1971, 2005, 5953, 18372, 3625, 675, 675, 675, 675, 675, 675, 675, 25284, 2971, 1254, 4035, 675, 675, 675, 675, 675, 675, 675, 9225, 2996, 2109, 27103, 675, 675, 675, 23918, 24805, 7125, 2267, 2550, 1009, 3813, 1060, 1063, 5529, 1160, 6581, 21211, 1043, 1224, 3922, 1005, 11140, 1235, 2326, 4322, 2268, 1043, 2068, 1072, 2326, 2185, 2647, 3449, 1048, 1299, 5902, 11853, 1006, 8227, 1156, 23782, 1049, 25832, 12969, 1846, 1009, 5719, 3473, 3597, 1213, 12980, 1072, 5646, 6373, 1208, 11757, 5873, 8, 19325, 2326, 3449, 2631, 1005, 1976, 8347, 5219, 1026, 12562, 1845, 4253, 1009, 9225, 2177, 13933, 1992, 1048, 1026, 5646, 1234, 27921, 1599, 10475, 1118, 1044, 15069, 1009, 22344, 9354, 2170, 1054, 4702, 1006, 8227, 1049, 17527, 56, 25034, 1049, 25832, 12969, 1976, 11853, 9414, 3616, 1006, 10698, 1096, 2464, 1159, 1299, 22403, 1006, 4169, 6809, 1593, 1174, 9206, 8, 1159, 30529, 1006, 10352, 4958, 1298, 4480, 1184, 1557, 1068, 3501, 3144, 2066, 1298, 5319, 1026, 1557, 1009, 15069, 1068, 3871, 1048, 1006, 10352, 5553, 19583, 1996, 1060, 13550, 1060, 8227, 3942, 5661, 1235, 2326, 3449, 2631, 1005, 1976, 8347, 1159, 2540, 9780, 1, 7672, 1096, 6757, 81, 12856, 1528, 4777, 46, 8064, 12856, 1528, 1516, 1044, 8282, 5414, 1005, 29748, 9171, 1005, 5548, 1009, 16226, 1184, 3201, 1159, 16750, 2751, 1049, 2417, 6757, 81, 12856, 1528, 1005, 18592, 84, 3626, 1248, 3172, 5810, 1054, 1578, 1009, 3113, 1009, 22942, 1005, 6229, 1054, 1101, 1009, 3261, 1009, 22564, 2200, 1096, 5077, 1044, 1187, 11400, 1689, 1009, 7138, 2159, 13471, 5972, 1005, 1569, 6258, 1009, 3189, 5241, 3598, 31856, 28876, 11921, 1434, 1406, 2951, 84, 19143, 5561, 1167, 1063, 12326, 13493, 1005, 8, 8822, 12414, 1105, 1406, 1048, 1184, 3232, 1195, 4114, 3723, 1118, 1574, 1529, 4387, 19561, 2652, 675, 2, 3705, 1048, 12856, 1528, 2521, 37, 46, 8064, 12856, 1528, 1516, 1044, 8282, 1005, 8187, 1009, 19453, 1400, 9171, 1005, 5548, 1009, 16226, 3201, 1118, 1569, 6258, 1009, 12788, 2966, 9445, 2720, 18067, 1082, 1324, 11921, 1434, 1406, 2951, 84, 19143, 2569, 1044, 10425, 8, 1005, 7426, 12414, 1105, 8, 3172, 1096, 5077, 1044, 1187, 11400, 1689, 1049, 7204, 2159, 1484, 2796, 20, 675, 2, 1257, 5182, 23407, 1006, 7673, 3160, 21311, 1063, 32, 2013, 7296, 1159, 1006, 25897, 22506, 1058, 4312, 1184, 4114, 1846, 1048, 1026, 14747, 1348, 9477, 1810, 1026, 2736, 4131, 2378, 21311, 1106, 32, 14001, 1096, 1094, 28899, 1159, 1726, 2624, 1044, 6035, 1298, 4480, 1094, 2423, 1005, 30119, 10102, 1620, 1712, 2378, 21311, 1063, 32, 1084, 1160, 1096, 1159, 1058, 1026, 1574, 1529, 4387, 25669, 5378, 2080, 1993, 3360, 1006, 2423, 9123, 1493, 20717, 1043, 1026, 3462, 2378, 21311, 1106, 32, 2013, 7443, 1309, 5956, 1048, 1264, 2257, 1184, 17204, 1005, 17993, 1365, 1026, 2999, 21971, 2378, 21311, 1063, 32, 3782, 1381, 1786, 4457, 132, 1094, 5865, 2464, 1726, 6236, 1132, 6353, 12951, 1160, 1825, 1046, 1026, 7970, 1048, 27614, 2378, 21311, 1106, 32, 2654, 1572, 2118, 28081, 1356, 2790, 4286, 4547, 1356, 2444, 1124, 1783, 1620, 22002, 1026, 1720, 1009, 6757, 81, 12856, 1528, 1005, 1224, 12236, 1068, 1026, 4796, 1009, 7204, 2159, 1484, 2796, 20, 675, 2, 1257, 7281, 3661, 1702, 6859, 14129, 2449, 21349, 1309, 7009, 5753, 2900, 2459, 2036, 2303, 1043, 2348, 15411, 6757, 81, 12856, 1528, 1195, 4434, 1036, 1278, 21423, 1072, 9792, 1060, 31205, 1049, 7138, 2159, 16022, 1054, 27008, 675, 2, 11356, 1571, 1264, 1516, 37, 46, 8064, 12856, 1528, 1516, 1009, 25059, 14184, 7144, 1122, 11095, 675, 2, 1257, 7281, 2257, 1702, 6650, 14129, 2449, 21349, 1030, 18777, 1048, 7508, 1616, 3038, 1631, 1048, 3002, 2808, 18, 1160, 3449, 1048, 1264, 3241, 7668, 1554, 1, 2760, 2654, 2449, 1044, 4674, 2863, 1043, 1026, 2380, 1009, 14160, 1009, 29613, 17755, 18, 2449, 1094, 2618, 1048, 1225, 5933, 1009, 14160, 1043, 2156, 22113, 1043, 1502, 3752, 74, 19, 2443, 2364, 1026, 2863, 1096, 1511, 1503, 29274, 2092, 9740, 1184, 1009, 8934, 2092, 17591, 1005, 3583, 1325, 1058, 24357, 1068, 54, 88, 7121, 1549, 2618, 6261, 4647, 1048, 1857, 25847, 1072, 1592, 2269, 1026, 1557, 13877, 1026, 29274, 1160, 1976, 13584, 1006, 3621, 1271, 1064, 24007, 2654, 8476, 2071, 1026, 26790, 21552, 57, 29686, 1309, 1160, 26502, 2267, 3002, 6931, 2122, 8161, 2301, 1026, 29613, 17755, 37, 2240, 1804, 8376, 5442, 2674, 1697, 1283, 1522, 1863, 2388, 1246, 6954, 2456, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 22589, 159, 8648, 1502, 3752, 74, 11088, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 27185, 6179, 5432, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 23579, 7852, 1246, 24525, 3752, 74, 7942, 8, 1283, 1840, 13823, 1787, 1026, 8566, 2733, 32, 1283, 2508, 23502, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 24525, 3752, 74, 11625, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 6954, 2456, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 2388, 1246, 24525, 26445, 89, 7942, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 13895, 7852, 1246, 5707, 1958, 28534, 4690, 8, 20670, 3752, 8054, 1246, 1150, 3308 ]

[ 20, 12785, 16605, 1094, 1150, 8303, 2063, 15151, 4148, 1060, 8600, 27973, 6669, 8972, 86, 27527, 1973, 1072, 7026, 1048, 1132, 15099, 1318, 25841, 1046, 1132, 11333, 1005, 21279, 1124, 14644, 6626, 2309, 14267, 6578, 9039, 5153, 1026, 3761, 9445, 2144, 11963, 15337, 1406, 4590, 1005, 4573, 1318, 20952, 1132, 4620, 1114, 25841, 1416, 1704, 3807, 82, 6432, 8, 4979, 1048, 3159, 1009, 8600, 1060, 4573, 1624, 5997, 26560, 1278, 3056, 15935, 1009, 30374, 1166, 15333, 1159, 1006, 4599, 1206, 1026, 5675, 1009, 10142, 4931, 13084, 3122, 3273, 1679, 3140, 1009, 8600, 11345, 4908, 1531, 4984, 1009, 12020, 1026, 7778, 5414, 1009, 11169, 3753, 1344, 11761, 2196, 23942, 1048, 1132, 2138, 2365, 1150, 2873, 1202, 6794, 4810, 8, 1054, 2088, 4278, 1009, 25841, 6495, 1309, 3579, 12476, 1124, 7055, 1009, 24529, 1005, 13012, 1009, 2266, 1159, 1751, 1060, 3961, 1717, 1026, 8359, 1876, 1005, 1006, 11447, 1009, 12747, 3983, 1344, 20381, 1318, 8413, 1048, 8813, 15445, 1160, 1808, 1040, 1026, 24375, 1060, 25841, 1416, 22742, 1024, 1124, 12388, 7958, 1365, 1006, 4630, 11005, 1005, 1132, 2138, 2365, 1068, 1006, 4173, 1009, 1094, 6317, 1009, 4458, 6545, 4908, 1592, 4604, 12785, 19346, 1048, 1006, 1144, 13603, 1068, 5478, 1009, 1249, 6355, 27722, 1124, 1058, 2582, 1049, 12510, 4862, 23293, 4594, 1005, 1049, 7674, 3747, 1159, 1751, 1009, 1094, 10510, 1271, 3638, 1009, 13012, 1009, 2266, 3915, 13660, 1094, 8558, 1060, 1144, 13603, 9704, 1048, 13329, 1009, 5376, 1596, 6626, 1114, 9394, 1068, 8661, 1026, 16522, 1009, 1044, 5938, 3376, 12117, 27007, 5075, 1406, 2966, 18943, 3597, 19474, 3144, 2200, 17256, 1048, 1026, 9295, 2569, 1094, 2716, 3484, 1068, 1124, 21724, 14396, 1009, 25841, 1416, 1533, 2751, 31801, 15550, 1195, 19446, 1054, 2992, 1009, 7127, 1511, 1026, 2670, 12785, 6139, 1048, 1124, 13327, 1009, 8600, 4343, 24140, 1006, 4884, 1009, 1249, 6355, 1124, 19953, 1009, 13329, 1009, 8813, 6842, 9943, 1150, 1046, 2530, 1005, 15099, 8, 1187, 4620, 2098, 19932, 5738, 1006, 1144, 13603, 12470, 1048, 27007, 5075, 2569, 3177, 1006, 9067, 1009, 10309, 1068, 6811, 2266, 1048, 1264, 1160, 1836, 23331, 1006, 1419, 3915, 3403, 1009, 7127, 1026, 10836, 24782, 21389, 2976, 18, 4957, 24038, 28479, 14335, 1726, 6283, 1009, 3973, 1294, 11333, 7217, 1094, 16094, 1717, 1026, 2670, 26017, 12785, 1356, 2868, 1009, 19345, 3915, 2191, 1726, 1579, 13375, 1322, 1026, 5675, 1009, 1067, 2456, 74, 3933, 1026, 10424, 1049, 2670, 1060, 4111, 5636, 1411, 1084, 3420, 7493, 13653, 1195, 5225, 2647, 1072, 1531, 1101, 1009, 12743, 1118, 13117, 8258, 4573, 1005, 4590, 1009, 29214, 2432, 1024, 1206, 1322, 3420, 1024, 1456, 12864, 3121, 1233, 18310, 1009, 1048, 1026, 4472, 90, 27157, 8835, 1006, 14089, 20, 1084, 3420, 2569, 1048, 18171, 1024, 1054, 24959, 1126, 1005, 27007, 5075, 1160, 1195, 1251, 5709, 1114, 14119, 1704, 14477, 12860, 16131, 1009, 7493, 13653, 1048, 4979, 1160, 1178, 29750, 1704, 5019, 22320, 1091, 1060, 10870, 1187, 2138, 5755, 2314, 6424, 43, 11515, 18111, 1072, 1531, 11587, 1118, 1376, 1219, 1100, 1094, 9425, 1048, 1994, 1937, 1026, 14477, 9553, 1026, 10424, 2712, 1070, 14093, 1063, 1138, 15861, 6674, 1412, 1124, 3540, 1150, 1781, 1052, 1250, 3746, 20949, 1009, 10457, 1005, 1009, 9456, 16832, 1049, 6782, 29361, 1159, 1006, 1762, 2839, 3343, 1187, 23659, 1009, 2956, 1406, 9326, 1026, 14627, 19431, 1357, 6338, 1049, 15786, 1833, 3420, 17687, 1124, 20573, 17900, 1118, 9174, 13127, 6512, 1005, 3032, 1356, 4329, 4475, 2200, 1973, 1048, 1026, 1784, 1195, 25691, 1060, 12650, 1060, 9821, 1149, 10374, 2672, 1005, 1057, 7175, 1079, 1048, 1058, 3043, 1079, 1009, 1150, 1458, 1009, 24264, 15308, 1470, 5863, 7792, 6146, 3192, 22960, 8225, 2239, 3276, 1148, 1005, 1098, 2890, 18018, 2100, 1, 11771, 7744, 1136, 1009, 10553, 3833, 1009, 7279, 2928, 1223, 1221, 1101, 3952, 6681, 1026, 4618, 1175, 6519, 1076, 23, 13030, 1040, 1392, 1005, 1030, 1829, 1016, 3996, 14425, 7744, 1136, 1009, 10553, 3833, 1009, 7279, 2928, 1223, 1221, 1101, 3952, 6681, 1026, 4618, 3576, 1258, 2139, 2793, 3201, 1118, 1026, 1831, 2535, 1009, 7744, 1009, 1062, 7611, 1014, 1054, 2497, 12557, 1118, 1044, 2017, 4618, 1704, 2792, 1048, 2284, 1058, 7744, 1136, 1009, 1044, 20287, 1014, 12557, 3833, 3022, 3068, 5836, 1549, 9307, 2475, 1009, 13660, 1205, 1258, 2139, 6891, 1009, 11236, 1009, 11403, 1646, 1195, 1044, 1187, 4181, 4902, 1009, 1044, 2017, 4618, 1009, 10553, 1680, 20793, 1060, 15418, 4128, 3097, 675, 1704, 2792, 9846, 1044, 7279, 2928, 1223, 1221, 1048, 18668, 1044, 22583, 1065, 1876, 1011, 1368, 2673, 11166, 1054, 1205, 1258, 17907, 1048, 1160, 27568, 20, 1766, 15898, 1049, 2792, 1160, 5692, 1975, 1058, 14857, 3144, 1, 1063, 8240, 2342, 8194, 1972, 1026, 21619, 23879, 4015, 3119, 1223, 15, 16394, 3068, 15381, 2322, 1009, 12673, 1132, 4290, 1009, 5274, 1060, 1083, 0, 4415, 1049, 21619, 23879, 3209, 1060, 2828, 1009, 1764, 2434, 19593, 54, 1565, 1063, 4734, 1298, 1178, 5118, 1140, 1114, 14410, 1049, 1062, 28479, 4441, 5584, 1121, 1187, 4290, 1009, 5274, 3775, 16966, 1726, 2224, 11154, 1005, 26333, 1726, 24886, 1005, 1132, 8082, 3634, 4537, 1043, 16160, 10934, 1063, 1134, 3119, 1223, 1318, 20794, 1006, 7344, 1213, 2386, 1009, 5274, 1043, 1356, 2444, 1044, 1531, 1009, 25391, 4908, 1531, 1060, 27263, 1132, 8082, 3634, 4480, 6902, 1009, 10626, 3462, 1043, 4137, 1005, 16962, 1116, 1527, 10564, 1009, 9365, 6658, 1068, 6679, 1124, 5729, 20, 1766, 8082, 1318, 1693, 1663, 1026, 2490, 1009, 3062, 86, 2255, 22886, 18, 6162, 1348, 1005, 13544, 2091, 21551, 1072, 10515, 73, 2815, 1704, 1712, 4792, 23879, 1049, 1908, 7312, 1043, 2224, 3537, 3502, 30, 24527, 3068, 3536, 20, 31869, 2475, 3162, 22, 1442, 8082, 1679, 6543, 1060, 26685, 1005, 12872, 2944, 31, 3798, 1689, 23802, 1302, 1708, 1048, 1160, 4745, 6422, 1026, 9818, 12914, 1565, 1063, 14394, 1525, 2177, 5191, 1054, 2156, 9022, 1400, 9637, 1159, 3775, 1124, 9262, 32, 1, 1779, 1442, 3770, 1068, 17491, 2015, 1091, 7359, 86, 9575, 13118, 2389, 17974, 0, 17074, 9457, 12730, 1009, 1204, 1009, 9864, 5, 1715, 1049, 5731, 1009, 13971, 1754, 5480, 1009, 4455, 1251, 9176, 1187, 2015, 1452, 1114, 3450, 1187, 3140, 27953, 1356, 3159, 10241, 1009, 2926, 33, 20, 23888, 1913, 1077, 1048, 1026, 23163, 1049, 2015, 1091, 5447, 1068, 1132, 3140, 1009, 2926, 26980, 1049, 4813, 1060, 6731, 1715, 1088, 1091, 1072, 8737, 2769, 1009, 14193, 17891, 2285, 3267, 1009, 2015, 1091, 1175, 6731, 1715, 2762, 7662, 1118, 2539, 4965, 3725, 3628, 1026, 6234, 1016, 2219, 12416, 1091, 8, 1005, 1026, 6234, 1252, 2942, 21263, 30738, 8658, 6234, 1016, 2219, 12416, 1091, 8, 4279, 1006, 10469, 6731, 17132, 1075, 1303, 13331, 0, 1779, 4705, 13222, 5, 1715, 1055, 18025, 1225, 1159, 8823, 32, 4004, 23, 1175, 8763, 32, 24739, 7515, 13399, 1132, 2015, 1452, 1072, 16995, 41, 40, 33, 23914, 1587, 6160, 14872, 14139, 14131, 1392, 1679, 2015, 1452, 33, 31961, 3555, 3623, 18349, 14775, 1026, 3182, 9757, 1048, 30248, 1159, 23163, 1009, 20511, 1213, 4316, 4708, 1009, 1570, 3208, 1005, 16414, 5330, 1307, 1175, 1063, 3871, 1026, 3319, 6731, 1715, 1118, 11856, 8010, 7369, 1024, 1054, 7838, 1009, 20220, 31288, 1006, 5975, 1049, 2015, 3017, 2328, 1060, 4122, 6799, 1054, 11856, 8010, 2229, 8194, 1206, 1060, 7350, 1187, 6731, 1715, 18, 1048, 3615, 1381, 1751, 3168, 5328, 1096, 15002, 1072, 4898, 1060, 9436, 1213, 2015, 1091, 1049, 8737, 2769, 1009, 14193, 1043, 5293, 4260, 1006, 1578, 2864, 1054, 2073, 6731, 7394, 86, 9575, 13331, 0, 13065, 5784, 9521, 5, 1715, 32, 1119, 3685, 11590, 1006, 13051, 1049, 2550, 1009, 16971, 1009, 23873, 1112, 1068, 1026, 12416, 1091, 1845, 26559, 13331, 0, 2224, 28, 3228, 2414, 1009, 1799, 1009, 12397, 22403, 1124, 6264, 1009, 1465, 2354, 2762, 6731, 1715, 1054, 7838, 1009, 20220, 5094, 1693, 18, 2684, 1087, 1341, 2745, 1006, 5975, 1049, 2015, 3017, 1178, 16724, 1166, 1463, 11856, 2137, 1242, 2229, 15594, 1118, 4384, 3550, 3273, 1206, 1072, 1235, 6731, 1715, 1027, 1005, 17675, 1271, 4496, 3905, 29218, 1005, 3023, 4676, 45, 1182, 11071, 1009, 11906, 33, 45, 1182, 11071, 20821, 1221, 1005, 2778, 1447, 4756, 33, 8420, 5781, 1009, 11532, 15856, 3555, 26099, 1091, 33, 45, 1182, 11071, 1060, 21174, 1005, 10026, 1049, 1123, 2390, 20, 2023, 24, 1175, 2494, 1205, 1185, 1029, 8346, 5160, 4942, 0, 6731, 7394, 86, 9575, 13331, 0, 20782, 3487, 10998, 5, 1715, 1118, 2290, 11344, 21146, 4917, 1187, 3770, 24960, 1727, 1213, 6023, 1005, 1213, 2015, 1091, 2338, 2430, 86, 9575, 13331, 0, 1422, 5515, 23, 3228, 2525, 6342, 1072, 11248, 1060, 16727, 4004, 0, 6731, 1715, 1187, 5393, 5081, 12304, 1166, 11828, 2502, 1060, 1228, 41, 5763, 1049, 29090, 1787, 33, 51, 1545, 1049, 23163, 2386, 1049, 14625, 1027, 1060, 1228, 41, 5763, 1049, 29090, 1787, 33, 2377, 7517, 1526, 1060, 1228, 41, 5763, 1049, 29090, 1787, 1072, 3555, 18, 15377, 1079, 3249, 2094, 10638, 1114, 6222, 1049, 23163, 1049, 12416, 1091, 1005, 23163, 1009, 8737, 5170, 33, 4422, 1009, 5684, 10349, 6731, 7394, 86, 9575, 13331, 0, 1779, 3876, 10998, 1009, 1782, 1009, 2436, 1009, 4053, 5, 1715, 41, 5071, 26225, 20380, 3801, 23163, 1009, 3790, 1213, 4148, 1049, 1207, 1926, 56, 19984, 6013, 0, 23163, 1009, 20511, 1213, 10639, 1083, 1175, 3555, 33, 1172, 15, 1683, 1266, 1006, 4173, 1009, 1044, 2380, 22089, 1009, 6228, 1009, 2015, 1452, 1048, 25045, 7556, 1124, 6106, 1054, 7042, 1009, 31035, 1005, 2752, 12997, 6731, 42, 1045, 1316, 4372, 13331, 0, 2182, 2944, 13222, 5, 1715, 18, 4807, 1124, 5849, 18522, 1006, 9134, 1009, 13754, 84, 1411, 11474, 1021, 6184, 3896, 1014, 1654, 1005, 5019, 3344, 9064, 1060, 8899, 8516, 4300, 33, 20918, 3555, 33, 1999, 2830, 1175, 14439, 1024, 1006, 4751, 1049, 8737, 5170, 1005, 1049, 23163, 1049, 12416, 1091, 1114, 1224, 8821, 1091, 8608, 1961, 1720, 18409, 5593, 4318, 1005, 7556, 6731, 42, 1045, 1316, 4372, 1071, 4315, 8888, 15, 13331, 0, 1675, 8121, 10998, 5, 1715, 1009, 3353, 1009, 7269, 1114, 25031, 1005, 17737, 1009, 9436, 1680, 14304, 1072, 23163, 8, 1049, 12416, 3017, 18579, 6789, 6047, 1021, 15172, 1006, 5110, 1005, 4618, 1009, 8669, 4927, 66, 94, 41, 25967, 3226, 7394, 86, 9575, 13331, 0, 20789, 1404, 9521, 5, 1715, 1009, 7527, 1065, 1990, 26528, 51, 1545, 1060, 18571, 71, 12521, 1038, 27986, 1049, 23163, 1715, 26099, 1091, 25, 2944, 8037, 1442, 3487, 25459, 1009, 5745, 6158, 1009, 5292, 8964, 1005, 11236, 1570, 18373, 3985, 2665, 1629, 1356, 23163, 1049, 12416, 1091, 1049, 4316, 1009, 4300, 1009, 5745, 6158, 1009, 12247, 0, 8964, 1009, 2992, 1009, 6731, 7394, 86, 9575, 13331, 0, 1779, 5248, 10280, 5, 1715, 1027, 1009, 20336, 1009, 16144, 33, 8737, 1009, 10026, 1009, 5311, 1452, 33, 23163, 1009, 10026, 1009, 24601, 33, 23163, 1009, 20224, 2484, 26528, 33, 4572, 22510, 3555, 33, 5549, 1009, 8605, 1068, 1006, 20532, 30558, 1049, 1123, 21835, 42, 33, 23163, 1049, 12416, 1091, 33, 19875, 1629, 1356, 14831, 1233, 16144, 33, 6610, 14452, 1009, 6731, 1715, 54, 71, 1814, 17446, 10715, 1400, 20374, 1049, 23163, 1049, 11935, 1060, 14193, 1054, 10068, 1049, 4813, 1060, 14193, 1048, 3555, 1175, 10639, 18652, 1221, 2345, 25205, 1667, 1442, 7560, 10536, 24, 1175, 14439, 1348, 1049, 23163, 1009, 12416, 1091, 6938, 9543, 1565, 2102, 25, 10536, 27, 1175, 2345, 12574, 1049, 5019, 1009, 8899, 1187, 1207, 9543, 20, 2102, 26, 10536, 27, 6731, 42, 1045, 1316, 4372, 1071, 4315, 8888, 15, 13331, 0, 9328, 29, 11582, 5, 1715, 1231, 1006, 8623, 12441, 1009, 9436, 5110, 1049, 21796, 2681, 2037, 5110, 1049, 17491, 1009, 2015, 1091, 1005, 6621, 1009, 4818, 20, 18025, 8676, 18, 1365, 1422, 1009, 3353, 6731, 42, 1045, 1316, 4372, 1071, 4315, 8888, 15, 13331, 0, 1779, 6418, 9699, 5, 1715, 32, 39, 1302, 15856, 2854, 71, 33, 8420, 5781, 1009, 1063, 2099, 4058, 1129, 1303, 1005, 7977, 4136, 33, 45, 1182, 11071, 1009, 11906, 33, 45, 1182, 11071, 1009, 10026, 1060, 21174, 1005, 1049, 1123, 2390, 33, 8420, 5781, 1009, 1826, 1049, 14831, 1233, 16144, 1005, 5926, 1112, 1043, 1026, 12416, 1091, 33, 8420, 5781, 1009, 11674, 1303, 1005, 20511, 1233, 10026, 33, 45, 1182, 11071, 1009, 4158, 1031, 2176, 1043, 6914, 1533, 73, 14890, 1027, 1028, 0, 7524, 30, 4059, 14243, 2308, 25, 40, 4055, 12263, 1009, 5995, 5960, 26699, 10519, 1578, 1009, 9724, 1009, 3209, 5, 7484, 53, 31975, 1068, 1006, 17314, 1009, 6298, 16914, 2132, 1440, 1918, 1118, 1557, 1634, 13644, 1599, 1294, 4732, 1060, 1142, 60, 41, 19197, 7955, 1371, 3750, 25626, 1009, 1365, 6709, 8119, 12172, 1233, 8899, 9945, 1118, 5453, 1009, 2011, 1054, 5502, 8317, 1118, 1557, 1634, 13644, 1069, 1071 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 20, 12785, 16605, 1094, 1150, 8303, 2063, 15151, 4148, 1060, 8600, 27973, 6669, 8972, 86, 27527, 1973, 1072, 7026, 1048, 1132, 15099, 1318, 25841, 1046, 1132, 11333, 1005, 21279, 1124, 14644, 6626, 2309, 14267, 6578, 9039, 5153, 1026, 3761, 9445, 2144, 11963, 15337, 1406, 4590, 1005, 4573, 1318, 20952, 1132, 4620, 1114, 25841, 1416, 1704, 3807, 82, 6432, 8, 4979, 1048, 3159, 1009, 8600, 1060, 4573, 1624, 5997, 26560, 1278, 3056, 15935, 1009, 30374, 1166, 15333, 1159, 1006, 4599, 1206, 1026, 5675, 1009, 10142, 4931, 13084, 3122, 3273, 1679, 3140, 1009, 8600, 11345, 4908, 1531, 4984, 1009, 12020, 1026, 7778, 5414, 1009, 11169, 3753, 1344, 11761, 2196, 23942, 1048, 1132, 2138, 2365, 1150, 2873, 1202, 6794, 4810, 8, 1054, 2088, 4278, 1009, 25841, 6495, 1309, 3579, 12476, 1124, 7055, 1009, 24529, 1005, 13012, 1009, 2266, 1159, 1751, 1060, 3961, 1717, 1026, 8359, 1876, 1005, 1006, 11447, 1009, 12747, 3983, 1344, 20381, 1318, 8413, 1048, 8813, 15445, 1160, 1808, 1040, 1026, 24375, 1060, 25841, 1416, 22742, 1024, 1124, 12388, 7958, 1365, 1006, 4630, 11005, 1005, 1132, 2138, 2365, 1068, 1006, 4173, 1009, 1094, 6317, 1009, 4458, 6545, 4908, 1592, 4604, 12785, 19346, 1048, 1006, 1144, 13603, 1068, 5478, 1009, 1249, 6355, 27722, 1124, 1058, 2582, 1049, 12510, 4862, 23293, 4594, 1005, 1049, 7674, 3747, 1159, 1751, 1009, 1094, 10510, 1271, 3638, 1009, 13012, 1009, 2266, 3915, 13660, 1094, 8558, 1060, 1144, 13603, 9704, 1048, 13329, 1009, 5376, 1596, 6626, 1114, 9394, 1068, 8661, 1026, 16522, 1009, 1044, 5938, 3376, 12117, 27007, 5075, 1406, 2966, 18943, 3597, 19474, 3144, 2200, 17256, 1048, 1026, 9295, 2569, 1094, 2716, 3484, 1068, 1124, 21724, 14396, 1009, 25841, 1416, 1533, 2751, 31801, 15550, 1195, 19446, 1054, 2992, 1009, 7127, 1511, 1026, 2670, 12785, 6139, 1048, 1124, 13327, 1009, 8600, 4343, 24140, 1006, 4884, 1009, 1249, 6355, 1124, 19953, 1009, 13329, 1009, 8813, 6842, 9943, 1150, 1046, 2530, 1005, 15099, 8, 1187, 4620, 2098, 19932, 5738, 1006, 1144, 13603, 12470, 1048, 27007, 5075, 2569, 3177, 1006, 9067, 1009, 10309, 1068, 6811, 2266, 1048, 1264, 1160, 1836, 23331, 1006, 1419, 3915, 3403, 1009, 7127, 1026, 10836, 24782, 21389, 2976, 18, 4957, 24038, 28479, 14335, 1726, 6283, 1009, 3973, 1294, 11333, 7217, 1094, 16094, 1717, 1026, 2670, 26017, 12785, 1356, 2868, 1009, 19345, 3915, 2191, 1726, 1579, 13375, 1322, 1026, 5675, 1009, 1067, 2456, 74, 3933, 1026, 10424, 1049, 2670, 1060, 4111, 5636, 1411, 1084, 3420, 7493, 13653, 1195, 5225, 2647, 1072, 1531, 1101, 1009, 12743, 1118, 13117, 8258, 4573, 1005, 4590, 1009, 29214, 2432, 1024, 1206, 1322, 3420, 1024, 1456, 12864, 3121, 1233, 18310, 1009, 1048, 1026, 4472, 90, 27157, 8835, 1006, 14089, 20, 1084, 3420, 2569, 1048, 18171, 1024, 1054, 24959, 1126, 1005, 27007, 5075, 1160, 1195, 1251, 5709, 1114, 14119, 1704, 14477, 12860, 16131, 1009, 7493, 13653, 1048, 4979, 1160, 1178, 29750, 1704, 5019, 22320, 1091, 1060, 10870, 1187, 2138, 5755, 2314, 6424, 43, 11515, 18111, 1072, 1531, 11587, 1118, 1376, 1219, 1100, 1094, 9425, 1048, 1994, 1937, 1026, 14477, 9553, 1026, 10424, 2712, 1070, 14093, 1063, 1138, 15861, 6674, 1412, 1124, 3540, 1150, 1781, 1052, 1250, 3746, 20949, 1009, 10457, 1005, 1009, 9456, 16832, 1049, 6782, 29361, 1159, 1006, 1762, 2839, 3343, 1187, 23659, 1009, 2956, 1406, 9326, 1026, 14627, 19431, 1357, 6338, 1049, 15786, 1833, 3420, 17687, 1124, 20573, 17900, 1118, 9174, 13127, 6512, 1005, 3032, 1356, 4329, 4475, 2200, 1973, 1048, 1026, 1784, 1195, 25691, 1060, 12650, 1060, 9821, 1149, 10374, 2672, 1005, 1057, 7175, 1079, 1048, 1058, 3043, 1079, 1009, 1150, 1458, 1009, 24264, 15308, 1470, 5863, 7792, 6146, 3192, 22960, 8225, 2239, 3276, 1148, 1005, 1098, 2890, 18018, 2100, 1, 11771, 7744, 1136, 1009, 10553, 3833, 1009, 7279, 2928, 1223, 1221, 1101, 3952, 6681, 1026, 4618, 1175, 6519, 1076, 23, 13030, 1040, 1392, 1005, 1030, 1829, 1016, 3996, 14425, 7744, 1136, 1009, 10553, 3833, 1009, 7279, 2928, 1223, 1221, 1101, 3952, 6681, 1026, 4618, 3576, 1258, 2139, 2793, 3201, 1118, 1026, 1831, 2535, 1009, 7744, 1009, 1062, 7611, 1014, 1054, 2497, 12557, 1118, 1044, 2017, 4618, 1704, 2792, 1048, 2284, 1058, 7744, 1136, 1009, 1044, 20287, 1014, 12557, 3833, 3022, 3068, 5836, 1549, 9307, 2475, 1009, 13660, 1205, 1258, 2139, 6891, 1009, 11236, 1009, 11403, 1646, 1195, 1044, 1187, 4181, 4902, 1009, 1044, 2017, 4618, 1009, 10553, 1680, 20793, 1060, 15418, 4128, 3097, 675, 1704, 2792, 9846, 1044, 7279, 2928, 1223, 1221, 1048, 18668, 1044, 22583, 1065, 1876, 1011, 1368, 2673, 11166, 1054, 1205, 1258, 17907, 1048, 1160, 27568, 20, 1766, 15898, 1049, 2792, 1160, 5692, 1975, 1058, 14857, 3144, 1, 1063, 8240, 2342, 8194, 1972, 1026, 21619, 23879, 4015, 3119, 1223, 15, 16394, 3068, 15381, 2322, 1009, 12673, 1132, 4290, 1009, 5274, 1060, 1083, 0, 4415, 1049, 21619, 23879, 3209, 1060, 2828, 1009, 1764, 2434, 19593, 54, 1565, 1063, 4734, 1298, 1178, 5118, 1140, 1114, 14410, 1049, 1062, 28479, 4441, 5584, 1121, 1187, 4290, 1009, 5274, 3775, 16966, 1726, 2224, 11154, 1005, 26333, 1726, 24886, 1005, 1132, 8082, 3634, 4537, 1043, 16160, 10934, 1063, 1134, 3119, 1223, 1318, 20794, 1006, 7344, 1213, 2386, 1009, 5274, 1043, 1356, 2444, 1044, 1531, 1009, 25391, 4908, 1531, 1060, 27263, 1132, 8082, 3634, 4480, 6902, 1009, 10626, 3462, 1043, 4137, 1005, 16962, 1116, 1527, 10564, 1009, 9365, 6658, 1068, 6679, 1124, 5729, 20, 1766, 8082, 1318, 1693, 1663, 1026, 2490, 1009, 3062, 86, 2255, 22886, 18, 6162, 1348, 1005, 13544, 2091, 21551, 1072, 10515, 73, 2815, 1704, 1712, 4792, 23879, 1049, 1908, 7312, 1043, 2224, 3537, 3502, 30, 24527, 3068, 3536, 20, 31869, 2475, 3162, 22, 1442, 8082, 1679, 6543, 1060, 26685, 1005, 12872, 2944, 31, 3798, 1689, 23802, 1302, 1708, 1048, 1160, 4745, 6422, 1026, 9818, 12914, 1565, 1063, 14394, 1525, 2177, 5191, 1054, 2156, 9022, 1400, 9637, 1159, 3775, 1124, 9262, 32, 1, 1779, 1442, 3770, 1068, 17491, 2015, 1091, 7359, 86, 9575, 13118, 2389, 17974, 0, 17074, 9457, 12730, 1009, 1204, 1009, 9864, 5, 1715, 1049, 5731, 1009, 13971, 1754, 5480, 1009, 4455, 1251, 9176, 1187, 2015, 1452, 1114, 3450, 1187, 3140, 27953, 1356, 3159, 10241, 1009, 2926, 33, 20, 23888, 1913, 1077, 1048, 1026, 23163, 1049, 2015, 1091, 5447, 1068, 1132, 3140, 1009, 2926, 26980, 1049, 4813, 1060, 6731, 1715, 1088, 1091, 1072, 8737, 2769, 1009, 14193, 17891, 2285, 3267, 1009, 2015, 1091, 1175, 6731, 1715, 2762, 7662, 1118, 2539, 4965, 3725, 3628, 1026, 6234, 1016, 2219, 12416, 1091, 8, 1005, 1026, 6234, 1252, 2942, 21263, 30738, 8658, 6234, 1016, 2219, 12416, 1091, 8, 4279, 1006, 10469, 6731, 17132, 1075, 1303, 13331, 0, 1779, 4705, 13222, 5, 1715, 1055, 18025, 1225, 1159, 8823, 32, 4004, 23, 1175, 8763, 32, 24739, 7515, 13399, 1132, 2015, 1452, 1072, 16995, 41, 40, 33, 23914, 1587, 6160, 14872, 14139, 14131, 1392, 1679, 2015, 1452, 33, 31961, 3555, 3623, 18349, 14775, 1026, 3182, 9757, 1048, 30248, 1159, 23163, 1009, 20511, 1213, 4316, 4708, 1009, 1570, 3208, 1005, 16414, 5330, 1307, 1175, 1063, 3871, 1026, 3319, 6731, 1715, 1118, 11856, 8010, 7369, 1024, 1054, 7838, 1009, 20220, 31288, 1006, 5975, 1049, 2015, 3017, 2328, 1060, 4122, 6799, 1054, 11856, 8010, 2229, 8194, 1206, 1060, 7350, 1187, 6731, 1715, 18, 1048, 3615, 1381, 1751, 3168, 5328, 1096, 15002, 1072, 4898, 1060, 9436, 1213, 2015, 1091, 1049, 8737, 2769, 1009, 14193, 1043, 5293, 4260, 1006, 1578, 2864, 1054, 2073, 6731, 7394, 86, 9575, 13331, 0, 13065, 5784, 9521, 5, 1715, 32, 1119, 3685, 11590, 1006, 13051, 1049, 2550, 1009, 16971, 1009, 23873, 1112, 1068, 1026, 12416, 1091, 1845, 26559, 13331, 0, 2224, 28, 3228, 2414, 1009, 1799, 1009, 12397, 22403, 1124, 6264, 1009, 1465, 2354, 2762, 6731, 1715, 1054, 7838, 1009, 20220, 5094, 1693, 18, 2684, 1087, 1341, 2745, 1006, 5975, 1049, 2015, 3017, 1178, 16724, 1166, 1463, 11856, 2137, 1242, 2229, 15594, 1118, 4384, 3550, 3273, 1206, 1072, 1235, 6731, 1715, 1027, 1005, 17675, 1271, 4496, 3905, 29218, 1005, 3023, 4676, 45, 1182, 11071, 1009, 11906, 33, 45, 1182, 11071, 20821, 1221, 1005, 2778, 1447, 4756, 33, 8420, 5781, 1009, 11532, 15856, 3555, 26099, 1091, 33, 45, 1182, 11071, 1060, 21174, 1005, 10026, 1049, 1123, 2390, 20, 2023, 24, 1175, 2494, 1205, 1185, 1029, 8346, 5160, 4942, 0, 6731, 7394, 86, 9575, 13331, 0, 20782, 3487, 10998, 5, 1715, 1118, 2290, 11344, 21146, 4917, 1187, 3770, 24960, 1727, 1213, 6023, 1005, 1213, 2015, 1091, 2338, 2430, 86, 9575, 13331, 0, 1422, 5515, 23, 3228, 2525, 6342, 1072, 11248, 1060, 16727, 4004, 0, 6731, 1715, 1187, 5393, 5081, 12304, 1166, 11828, 2502, 1060, 1228, 41, 5763, 1049, 29090, 1787, 33, 51, 1545, 1049, 23163, 2386, 1049, 14625, 1027, 1060, 1228, 41, 5763, 1049, 29090, 1787, 33, 2377, 7517, 1526, 1060, 1228, 41, 5763, 1049, 29090, 1787, 1072, 3555, 18, 15377, 1079, 3249, 2094, 10638, 1114, 6222, 1049, 23163, 1049, 12416, 1091, 1005, 23163, 1009, 8737, 5170, 33, 4422, 1009, 5684, 10349, 6731, 7394, 86, 9575, 13331, 0, 1779, 3876, 10998, 1009, 1782, 1009, 2436, 1009, 4053, 5, 1715, 41, 5071, 26225, 20380, 3801, 23163, 1009, 3790, 1213, 4148, 1049, 1207, 1926, 56, 19984, 6013, 0, 23163, 1009, 20511, 1213, 10639, 1083, 1175, 3555, 33, 1172, 15, 1683, 1266, 1006, 4173, 1009, 1044, 2380, 22089, 1009, 6228, 1009, 2015, 1452, 1048, 25045, 7556, 1124, 6106, 1054, 7042, 1009, 31035, 1005, 2752, 12997, 6731, 42, 1045, 1316, 4372, 13331, 0, 2182, 2944, 13222, 5, 1715, 18, 4807, 1124, 5849, 18522, 1006, 9134, 1009, 13754, 84, 1411, 11474, 1021, 6184, 3896, 1014, 1654, 1005, 5019, 3344, 9064, 1060, 8899, 8516, 4300, 33, 20918, 3555, 33, 1999, 2830, 1175, 14439, 1024, 1006, 4751, 1049, 8737, 5170, 1005, 1049, 23163, 1049, 12416, 1091, 1114, 1224, 8821, 1091, 8608, 1961, 1720, 18409, 5593, 4318, 1005, 7556, 6731, 42, 1045, 1316, 4372, 1071, 4315, 8888, 15, 13331, 0, 1675, 8121, 10998, 5, 1715, 1009, 3353, 1009, 7269, 1114, 25031, 1005, 17737, 1009, 9436, 1680, 14304, 1072, 23163, 8, 1049, 12416, 3017, 18579, 6789, 6047, 1021, 15172, 1006, 5110, 1005, 4618, 1009, 8669, 4927, 66, 94, 41, 25967, 3226, 7394, 86, 9575, 13331, 0, 20789, 1404, 9521, 5, 1715, 1009, 7527, 1065, 1990, 26528, 51, 1545, 1060, 18571, 71, 12521, 1038, 27986, 1049, 23163, 1715, 26099, 1091, 25, 2944, 8037, 1442, 3487, 25459, 1009, 5745, 6158, 1009, 5292, 8964, 1005, 11236, 1570, 18373, 3985, 2665, 1629, 1356, 23163, 1049, 12416, 1091, 1049, 4316, 1009, 4300, 1009, 5745, 6158, 1009, 12247, 0, 8964, 1009, 2992, 1009, 6731, 7394, 86, 9575, 13331, 0, 1779, 5248, 10280, 5, 1715, 1027, 1009, 20336, 1009, 16144, 33, 8737, 1009, 10026, 1009, 5311, 1452, 33, 23163, 1009, 10026, 1009, 24601, 33, 23163, 1009, 20224, 2484, 26528, 33, 4572, 22510, 3555, 33, 5549, 1009, 8605, 1068, 1006, 20532, 30558, 1049, 1123, 21835, 42, 33, 23163, 1049, 12416, 1091, 33, 19875, 1629, 1356, 14831, 1233, 16144, 33, 6610, 14452, 1009, 6731, 1715, 54, 71, 1814, 17446, 10715, 1400, 20374, 1049, 23163, 1049, 11935, 1060, 14193, 1054, 10068, 1049, 4813, 1060, 14193, 1048, 3555, 1175, 10639, 18652, 1221, 2345, 25205, 1667, 1442, 7560, 10536, 24, 1175, 14439, 1348, 1049, 23163, 1009, 12416, 1091, 6938, 9543, 1565, 2102, 25, 10536, 27, 1175, 2345, 12574, 1049, 5019, 1009, 8899, 1187, 1207, 9543, 20, 2102, 26, 10536, 27, 6731, 42, 1045, 1316, 4372, 1071, 4315, 8888, 15, 13331, 0, 9328, 29, 11582, 5, 1715, 1231, 1006, 8623, 12441, 1009, 9436, 5110, 1049, 21796, 2681, 2037, 5110, 1049, 17491, 1009, 2015, 1091, 1005, 6621, 1009, 4818, 20, 18025, 8676, 18, 1365, 1422, 1009, 3353, 6731, 42, 1045, 1316, 4372, 1071, 4315, 8888, 15, 13331, 0, 1779, 6418, 9699, 5, 1715, 32, 39, 1302, 15856, 2854, 71, 33, 8420, 5781, 1009, 1063, 2099, 4058, 1129, 1303, 1005, 7977, 4136, 33, 45, 1182, 11071, 1009, 11906, 33, 45, 1182, 11071, 1009, 10026, 1060, 21174, 1005, 1049, 1123, 2390, 33, 8420, 5781, 1009, 1826, 1049, 14831, 1233, 16144, 1005, 5926, 1112, 1043, 1026, 12416, 1091, 33, 8420, 5781, 1009, 11674, 1303, 1005, 20511, 1233, 10026, 33, 45, 1182, 11071, 1009, 4158, 1031, 2176, 1043, 6914, 1533, 73, 14890, 1027, 1028, 0, 7524, 30, 4059, 14243, 2308, 25, 40, 4055, 12263, 1009, 5995, 5960, 26699, 10519, 1578, 1009, 9724, 1009, 3209, 5, 7484, 53, 31975, 1068, 1006, 17314, 1009, 6298, 16914, 2132, 1440, 1918, 1118, 1557, 1634, 13644, 1599, 1294, 4732, 1060, 1142, 60, 41, 19197, 7955, 1371, 3750, 25626, 1009, 1365, 6709, 8119, 12172, 1233, 8899, 9945, 1118, 5453, 1009, 2011, 1054, 5502, 8317, 1118, 1557, 1634, 13644, 1069, 1071 ]

[ 7697, 1024, 4202, 11816, 3074, 24195, 1068, 3291, 1026, 1048, 5140, 1009, 2127, 1118, 5948, 2998, 1084, 3004, 1503, 3002, 3754, 1048, 5470, 1989, 4434, 1323, 4454, 5450, 1005, 7209, 1026, 2092, 10987, 675, 712, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 16819, 2944, 6170, 1352, 19304, 675, 695, 1940, 3588, 1048, 1058, 4388, 7152, 9894, 1043, 1989, 4434, 20, 7669, 2348, 7898, 1213, 5522, 11249, 6062, 7757, 1009, 3689, 13056, 1005, 13699, 1009, 3473, 1871, 1132, 6941, 6390, 1009, 12635, 1927, 1323, 9121, 1493, 1005, 3711, 13122, 2464, 4666, 2803, 3633, 1048, 4929, 15075, 18, 1264, 2155, 1663, 1620, 1184, 5267, 24334, 1752, 1531, 1048, 4125, 2374, 1184, 7743, 1005, 1043, 1184, 1005, 1184, 6390, 18659, 675, 695, 1797, 2675, 12049, 2856, 16, 25861, 3576, 1056, 2840, 16265, 1209, 13389, 1009, 3261, 1009, 3209, 1054, 1158, 24402, 4093, 5391, 12459, 4434, 1195, 1094, 1271, 3469, 1048, 1853, 1079, 2092, 1531, 2998, 6836, 1009, 2593, 1493, 14969, 1043, 2693, 2122, 4087, 1049, 29633, 1030, 169, 4619, 1323, 3647, 17582, 1005, 1178, 1340, 1076, 1118, 2289, 1048, 1503, 27018, 1100, 4929, 1009, 25508, 1937, 2307, 1054, 2573, 1005, 3074, 24305, 1026, 3124, 1009, 5115, 4125, 1184, 1557, 1043, 4859, 4090, 1005, 1318, 1261, 1184, 1557, 1068, 23886, 6977, 14516, 1006, 11518, 1009, 20921, 675, 712, 980, 1989, 1901, 1005, 1006, 2348, 11309, 1030, 1393, 2201, 28537, 1309, 1651, 1275, 1048, 3074, 1043, 5472, 8177, 1271, 7648, 27847, 1565, 2605, 27337, 1323, 12280, 1493, 5808, 1140, 1043, 2220, 1026, 3284, 1048, 12931, 2817, 18, 3530, 7872, 1050, 17841, 3899, 4859, 2129, 5454, 11081, 1048, 1395, 26178, 1054, 7240, 3100, 1493, 1340, 1076, 1356, 1039, 1032, 1810, 1072, 3152, 1890, 1664, 3530, 2864, 19370, 2998, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 16819, 3452, 1940, 3588, 4810, 1054, 3291, 1048, 2092, 4434, 9121, 1006, 3417, 1026, 1235, 1531, 1044, 30706, 1853, 675, 695, 1516, 14130, 1616, 1048, 6479, 1663, 1511, 1323, 15519, 12639, 1068, 5522, 3004, 2856, 1308, 17665, 3074, 24305, 1006, 25508, 1937, 1068, 3659, 1184, 1557, 1043, 1132, 4859, 4090, 1005, 1043, 1026, 2092, 3416, 3320, 2654, 1566, 19352, 1009, 11568, 1409, 1820, 1324, 1309, 1026, 1924, 79, 1160, 2276, 9251, 1557, 1048, 1160, 1768, 22015, 1043, 1006, 2573, 8734, 1992, 1890, 2252, 1124, 3229, 1049, 1531, 8633, 1208, 2856, 22445, 3281, 1126, 29935, 3291, 1048, 2845, 1006, 1323, 9253, 1054, 14601, 10119, 19370, 1118, 5711, 12049, 675, 695, 5, 32, 16, 25861, 1940, 1227, 4565, 1073, 2044, 7194, 13389, 1009, 3261, 1009, 3209, 1054, 16819, 2704, 1467, 1358, 1089, 1006, 4840, 2201, 9587, 1685, 7, 4333, 1124, 3469, 7325, 1009, 3004, 15225, 1191, 1009, 1178, 2738, 1049, 21382, 15, 1826, 1261, 28897, 1109, 2011, 1357, 3808, 5326, 2276, 2364, 3002, 1323, 1268, 17458, 1024, 1054, 6711, 1261, 28147, 1006, 6993, 1044, 22788, 8475, 1071, 158, 2348, 1944, 3513, 1349, 31380, 1069, 2088, 3405, 89, 1009, 26848, 89, 7100, 1048, 2449, 26827, 1663, 1043, 1184, 8692, 15, 1005, 19431, 1184, 1044, 2574, 1009, 1044, 3066, 1048, 3074, 1317, 1157, 675, 0, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 28345, 1467, 79, 1048, 9889, 1048, 2364, 1299, 2155, 1622, 3659, 1054, 6711, 1144, 4565, 675, 695, 5, 5851, 22788, 8475, 1048, 1051, 1299, 15954, 22717, 37, 1084, 1118, 1428, 5732, 37, 6771, 1160, 1323, 27742, 2307, 1005, 4647, 1493, 6993, 2088, 2856, 1308, 32, 16, 1005, 19370, 1118, 8748, 1456, 6390, 1009, 12635, 2307, 1294, 5812, 25861, 1467, 1925, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 24364, 6416, 1508, 6718, 1118, 1044, 2803, 19228, 75, 5470, 1026, 1235, 9361, 3629, 1006, 1419, 1026, 2790, 2631, 1060, 5297, 1495, 1592, 1511, 1687, 1325, 4417, 20, 2654, 18760, 5450, 1118, 1395, 1601, 1870, 31866, 1160, 1847, 27065, 20, 3713, 1096, 1094, 1271, 1783, 1048, 1184, 1323, 9121, 1005, 1503, 3100, 1493, 1340, 1076, 1118, 1616, 0, 986, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 28064, 1691, 75, 15519, 7152, 9894, 1118, 1989, 1235, 6737, 675, 695, 22157, 2803, 1048, 4929, 6718, 1096, 4417, 13445, 1084, 1096, 8898, 8341, 2605, 5956, 1048, 1009, 6672, 1871, 1264, 1325, 1294, 15725, 1006, 10541, 1048, 10395, 5525, 2739, 3469, 1005, 1048, 5426, 17584, 5036, 4805, 5267, 20700, 11665, 1118, 1323, 9253, 1005, 1118, 1261, 14023, 2348, 3696, 1184, 5450, 1043, 1989, 6737, 2856, 16, 25861, 6593, 1262, 16572, 1134, 25266, 16485, 13389, 1009, 3261, 1009, 3209, 1054, 18061, 3452, 2555, 85, 1317, 1157, 1419, 1299, 1184, 9175, 1118, 4982, 9758, 3012, 1663, 21534, 1664, 1132, 2250, 4666, 12381, 1160, 1998, 10807, 1028, 5280, 1309, 1927, 25756, 1298, 1178, 1043, 3469, 9750, 1159, 9758, 9251, 5896, 3240, 1456, 9467, 1029, 2917, 19353, 1049, 5847, 1531, 1009, 5795, 8853, 4196, 4065, 1006, 22084, 1187, 21534, 1049, 16704, 21534, 20177, 1159, 1132, 1456, 1327, 1026, 1048, 1503, 1836, 28770, 4666, 2803, 2856, 14079, 11343, 2250, 5626, 1836, 12805, 2092, 1134, 7499, 88, 1005, 3745, 1044, 6737, 1235, 3062, 9485, 1048, 11217, 3505, 2307, 1054, 2573, 6534, 1063, 2495, 79, 4593, 2304, 2997, 1094, 19884, 2364, 1005, 3745, 1048, 3004, 15954, 3748, 2475, 1646, 3960, 3326, 3335, 3048, 13122, 1048, 1395, 3495, 3539, 1006, 1184, 1009, 1083, 3832, 1349, 1620, 2449, 1989, 1063, 2495, 79, 1005, 2364, 2539, 20834, 3585, 7739, 8536, 1058, 1044, 1531, 9758, 9578, 5574, 2348, 1641, 1026, 13133, 1962, 6534, 15954, 1009, 5768, 1620, 8633, 28057, 5, 32, 16, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3295, 5207, 3670, 1030, 169, 1317, 1157, 5115, 10181, 1184, 1118, 2307, 1005, 2220, 1989, 15890, 1005, 2552, 1171, 5106, 1048, 2449, 9413, 1006, 1752, 4434, 20, 25377, 1048, 1325, 7464, 1077, 1187, 4434, 1678, 14059, 2856, 1308, 6666, 11665, 1356, 18687, 1005, 2691, 12265, 1009, 4434, 1916, 14581, 3689, 10181, 3822, 1118, 2307, 1071, 22155, 1192, 1532, 4666, 2803, 1054, 1048, 1160, 3074, 20608, 14894, 8578, 1109, 29077, 15, 2875, 3281, 1126, 1381, 1493, 1557, 1592, 3125, 19, 16, 1058, 1702, 1531, 1503, 1234, 5877, 1024, 1118, 5948, 4540, 11146, 6534, 1063, 2495, 79, 1005, 1734, 20834, 3585, 1043, 1299, 8633, 1208, 675, 695, 2995, 5385, 3696, 1005, 1495, 1026, 3867, 4434, 675, 695, 2856, 16, 25861, 3996, 1171, 93, 1130, 20197, 31465, 13389, 1009, 3261, 1009, 3209, 1054, 18061, 8037, 10229, 1284, 1133, 1184, 3445, 7, 2858, 1039, 1032, 1810, 1294, 3794, 14675, 4666, 1557, 1009, 2204, 17464, 31488, 7, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 28345, 1940, 3588, 1048, 23725, 1049, 31333, 1413, 10025, 91, 675, 695, 7222, 1325, 37, 10407, 1089, 1054, 1299, 3530, 12627, 18951, 1048, 5553, 1058, 8505, 1853, 1592, 1043, 2693, 2122, 4087, 1049, 1784, 2856, 16, 25861, 3564, 1182, 1092, 1623, 1082, 7831, 13389, 1009, 3261, 1009, 3209, 1054, 3404, 27562, 1605, 21382, 1927, 1195, 2348, 6500, 7893, 2154, 2340, 17136, 2947, 1026, 2092, 8642, 3335, 1005, 18760, 2072, 5450, 1048, 1687, 4064, 20423, 7216, 1072, 15422, 1006, 5789, 1566, 2504, 3205, 1026, 1048, 7001, 1323, 1808, 1461, 1493, 5450, 2364, 1323, 6733, 2439, 1219, 1525, 2691, 6428, 1043, 2444, 4034, 1009, 1058, 7904, 2856, 14, 5168, 73, 1707, 11849, 1060, 2926, 10712, 2247, 1060, 19097, 1005, 2364, 2449, 4995, 1493, 1184, 1557, 1043, 1006, 2348, 12902, 11509, 4106, 1005, 11296, 1435, 1044, 1638, 14280, 1114, 28646, 1496, 1107, 31051, 12507, 1082, 3947, 1159, 1927, 25861, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3502, 1467, 79, 1048, 7492, 1048, 1299, 1381, 9914, 1072, 21382, 675, 695, 1503, 9133, 1072, 13380, 1005, 12180, 1493, 2856, 42, 1467, 2527, 1054, 14572, 1124, 14922, 1620, 1826, 1184, 1317, 1492, 1005, 1026, 9061, 1325, 9454, 1679, 2009, 73, 1554, 6836, 1009, 1261, 12562, 2309, 2250, 1033, 29547, 3074, 4481, 8140, 1962, 1857, 23990, 1656, 1044, 30706, 1184, 1068, 4537, 14130, 1118, 1616, 2856, 21, 12107, 7372, 1048, 1132, 2250, 4108, 25847, 1184, 7743, 1005, 1026, 1784, 1743, 5920, 1309, 28037, 1853, 1049, 1048, 1516, 675, 695, 10229, 1006, 3757, 1009, 7110, 2374, 12307, 2856, 16, 25861, 6593, 1685, 13389, 1009, 3261, 1009, 3209, 1054, 21368, 1442, 1759, 12759, 13951, 3071, 3107, 3402, 31127, 25861, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3502, 3008, 1056, 1328, 675, 695, 25861, 11709, 1024, 1021, 15685, 2337, 1009, 3261, 1009, 3209, 1054, 10916, 32, 4059, 24861, 1089, 1026, 4434, 6088, 7, 2656, 10029, 1006, 3907, 5856, 5281, 1286, 1081, 1102, 30009, 4552, 27390, 1049, 2930, 1531, 2307, 1054, 9841, 1377, 1084, 1009, 2252, 1124, 2594, 6481, 1592, 1124, 1184, 14274, 3273, 4800, 5758, 1005, 7386, 3469, 2318, 1273, 2289, 1356, 1048, 1026, 1784, 1325, 6718, 4277, 1159, 10395, 25990, 1153, 5793, 6530, 1068, 2453, 1005, 6141, 1054, 1043, 2289, 1048, 19412, 1298, 13584, 1026, 2143, 1009, 1044, 10882, 10492, 1206, 15574, 20, 23062, 5275, 1159, 1783, 1927, 5848, 86, 3677, 32, 29064, 1235, 1111, 158, 1363, 19966, 1286, 1081, 1672, 3012, 1323, 3754, 1571, 15317, 37, 2856, 1308, 89, 7393, 1048, 1058, 4877, 7899, 7181, 21534, 1992, 7, 25861, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3665, 8018, 73, 2118, 1043, 2289, 1026, 1048, 1299, 1973, 7, 5841, 11174, 16881, 1609, 1048, 1026, 1359, 2801, 8691, 1068, 1026, 1784, 1325, 3748, 1043, 1048, 1006, 4614, 7152, 1132, 4101, 1005, 3675, 71, 1026, 2950, 10395, 5525, 1006, 1871, 1048, 4929, 15075, 1005, 24892, 1026, 7118, 11341, 1096, 11418, 1159, 5426, 17584, 8399, 7314, 1048, 4444, 1349, 5036, 4805, 5267, 675, 695, 1605, 1111, 158, 1363, 1096, 1114, 4556, 1044, 8148, 1122, 152, 1005, 1503, 26213, 1114, 28675, 1358, 91, 1631, 2856, 1308, 32, 16, 25861, 5, 1781, 1052, 18724, 5, 2708, 1009, 3261, 1009, 3209, 1054, 1158, 24383, 2995, 5385, 3696, 1082, 3947, 1503, 12280, 1927, 1044, 1039, 1032, 1810, 1072, 3152, 1511, 1503, 10029, 1569, 5795, 7, 6062, 8393, 1009, 21382, 1028, 16188, 1323, 11902, 1026, 2822, 1009, 3232, 1009, 21382, 1072, 4489, 1009, 14993, 1054, 1048, 1503, 1005, 2348, 2531, 3739, 2602, 2997, 1094, 2922, 1357, 1380, 1226, 1060, 3178, 5147, 1009, 2025, 1056, 1182, 9186, 1976, 1058, 1663, 8134, 1307, 1646, 1048, 1616, 5140, 20, 10689, 1048, 1006, 4614, 20352, 1048, 1026, 8190, 1009, 21382, 1096, 1044, 1187, 1184, 5350, 7010, 1005, 18657, 10517, 21131, 8067, 5615, 1049, 1048, 4929, 15075, 18, 12280, 1558, 2528, 3987, 3616, 21082, 2593, 1043, 1006, 2531, 3332, 1236, 2054, 1517, 1157, 1054, 16851, 20984, 1323, 11902, 8536, 3469, 1048, 1503, 7482, 6601, 1159, 1094, 22004, 1680, 1039, 1032, 1328, 1005, 1044, 2574, 1168, 2537, 1140, 1048, 7032, 1006, 3421, 1754, 1495, 1006, 18745, 1206, 1094, 2423, 6498, 1628, 1145, 1005, 1786, 27510, 1060, 1080, 13103, 95, 1059, 1051, 19337, 23777, 1005, 1927, 29064, 1026, 1307, 3286, 1253, 1678, 1096, 2631, 5662, 3433, 2307, 20423, 1235, 3284, 1927, 20836, 1208, 1026, 3152, 22311, 11764, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 2708, 2555, 1027, 5450, 1054, 3291, 1048, 15519, 3152, 1039, 1032, 1810, 1043, 1124, 5220, 5795, 675, 695, 3670, 12180, 1493, 2289, 1026, 1048, 8981, 1026, 1286, 1081, 1667, 1063, 3357, 1049, 19918, 1026, 23682, 1124, 5281, 1271, 8794, 0, 158, 1094, 6500, 2072, 2127, 2856, 1308, 17665, 12280, 3971, 1009, 6390, 1159, 1989, 1048, 1299, 4303, 3205, 1309, 5192, 1048, 4108, 4108, 4803, 6423, 1006, 1622, 1663, 1616, 1005, 27226, 22294, 1184, 1620, 1857, 7, 2995, 13103, 95, 1323, 6733, 1294, 90, 1828, 77, 1145, 675, 695, 5, 32, 16, 1005, 1048, 2122, 3757, 2374, 1184, 7743, 1068, 1664, 25861, 1797, 1226, 15459, 1207, 9442, 3459, 1009, 3261, 1009, 3209, 1054, 12150, 2830, 29554, 6088, 7, 2345, 2678, 2073, 12195, 1048, 3241, 1184, 1271, 1569, 9661, 3342, 25406, 675, 697, 24861, 1089, 1456, 9467, 1029, 2917, 1005, 1224, 6344, 1328, 2201, 3791, 95, 1005, 1043, 76, 95, 7, 20262, 4481, 2219, 1962, 1048, 5877, 4108, 2122, 4415, 1049, 12523, 20, 1084, 1048, 1664, 25847, 14515, 20584, 10313, 9765, 2950, 6273, 1899, 2682, 22311, 11764, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3452, 1940, 1221, 1493, 5450, 1048, 1299, 29790, 1133, 1271, 5220, 23311, 1413, 10025, 91, 675, 695, 1759, 7393, 18760, 7890, 1435, 1511, 10029, 1048, 1225, 6737, 1235, 1118, 9175, 3855, 37, 2856, 13312, 6155, 1053, 7, 2778, 1157, 1132, 2250, 1068, 2693, 2122, 4087, 1058, 5807, 1005, 1068, 1048, 1006, 4614, 22655, 6313, 1009, 1094, 1871 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7697, 1024, 4202, 11816, 3074, 24195, 1068, 3291, 1026, 1048, 5140, 1009, 2127, 1118, 5948, 2998, 1084, 3004, 1503, 3002, 3754, 1048, 5470, 1989, 4434, 1323, 4454, 5450, 1005, 7209, 1026, 2092, 10987, 675, 712, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 16819, 2944, 6170, 1352, 19304, 675, 695, 1940, 3588, 1048, 1058, 4388, 7152, 9894, 1043, 1989, 4434, 20, 7669, 2348, 7898, 1213, 5522, 11249, 6062, 7757, 1009, 3689, 13056, 1005, 13699, 1009, 3473, 1871, 1132, 6941, 6390, 1009, 12635, 1927, 1323, 9121, 1493, 1005, 3711, 13122, 2464, 4666, 2803, 3633, 1048, 4929, 15075, 18, 1264, 2155, 1663, 1620, 1184, 5267, 24334, 1752, 1531, 1048, 4125, 2374, 1184, 7743, 1005, 1043, 1184, 1005, 1184, 6390, 18659, 675, 695, 1797, 2675, 12049, 2856, 16, 25861, 3576, 1056, 2840, 16265, 1209, 13389, 1009, 3261, 1009, 3209, 1054, 1158, 24402, 4093, 5391, 12459, 4434, 1195, 1094, 1271, 3469, 1048, 1853, 1079, 2092, 1531, 2998, 6836, 1009, 2593, 1493, 14969, 1043, 2693, 2122, 4087, 1049, 29633, 1030, 169, 4619, 1323, 3647, 17582, 1005, 1178, 1340, 1076, 1118, 2289, 1048, 1503, 27018, 1100, 4929, 1009, 25508, 1937, 2307, 1054, 2573, 1005, 3074, 24305, 1026, 3124, 1009, 5115, 4125, 1184, 1557, 1043, 4859, 4090, 1005, 1318, 1261, 1184, 1557, 1068, 23886, 6977, 14516, 1006, 11518, 1009, 20921, 675, 712, 980, 1989, 1901, 1005, 1006, 2348, 11309, 1030, 1393, 2201, 28537, 1309, 1651, 1275, 1048, 3074, 1043, 5472, 8177, 1271, 7648, 27847, 1565, 2605, 27337, 1323, 12280, 1493, 5808, 1140, 1043, 2220, 1026, 3284, 1048, 12931, 2817, 18, 3530, 7872, 1050, 17841, 3899, 4859, 2129, 5454, 11081, 1048, 1395, 26178, 1054, 7240, 3100, 1493, 1340, 1076, 1356, 1039, 1032, 1810, 1072, 3152, 1890, 1664, 3530, 2864, 19370, 2998, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 16819, 3452, 1940, 3588, 4810, 1054, 3291, 1048, 2092, 4434, 9121, 1006, 3417, 1026, 1235, 1531, 1044, 30706, 1853, 675, 695, 1516, 14130, 1616, 1048, 6479, 1663, 1511, 1323, 15519, 12639, 1068, 5522, 3004, 2856, 1308, 17665, 3074, 24305, 1006, 25508, 1937, 1068, 3659, 1184, 1557, 1043, 1132, 4859, 4090, 1005, 1043, 1026, 2092, 3416, 3320, 2654, 1566, 19352, 1009, 11568, 1409, 1820, 1324, 1309, 1026, 1924, 79, 1160, 2276, 9251, 1557, 1048, 1160, 1768, 22015, 1043, 1006, 2573, 8734, 1992, 1890, 2252, 1124, 3229, 1049, 1531, 8633, 1208, 2856, 22445, 3281, 1126, 29935, 3291, 1048, 2845, 1006, 1323, 9253, 1054, 14601, 10119, 19370, 1118, 5711, 12049, 675, 695, 5, 32, 16, 25861, 1940, 1227, 4565, 1073, 2044, 7194, 13389, 1009, 3261, 1009, 3209, 1054, 16819, 2704, 1467, 1358, 1089, 1006, 4840, 2201, 9587, 1685, 7, 4333, 1124, 3469, 7325, 1009, 3004, 15225, 1191, 1009, 1178, 2738, 1049, 21382, 15, 1826, 1261, 28897, 1109, 2011, 1357, 3808, 5326, 2276, 2364, 3002, 1323, 1268, 17458, 1024, 1054, 6711, 1261, 28147, 1006, 6993, 1044, 22788, 8475, 1071, 158, 2348, 1944, 3513, 1349, 31380, 1069, 2088, 3405, 89, 1009, 26848, 89, 7100, 1048, 2449, 26827, 1663, 1043, 1184, 8692, 15, 1005, 19431, 1184, 1044, 2574, 1009, 1044, 3066, 1048, 3074, 1317, 1157, 675, 0, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 28345, 1467, 79, 1048, 9889, 1048, 2364, 1299, 2155, 1622, 3659, 1054, 6711, 1144, 4565, 675, 695, 5, 5851, 22788, 8475, 1048, 1051, 1299, 15954, 22717, 37, 1084, 1118, 1428, 5732, 37, 6771, 1160, 1323, 27742, 2307, 1005, 4647, 1493, 6993, 2088, 2856, 1308, 32, 16, 1005, 19370, 1118, 8748, 1456, 6390, 1009, 12635, 2307, 1294, 5812, 25861, 1467, 1925, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 24364, 6416, 1508, 6718, 1118, 1044, 2803, 19228, 75, 5470, 1026, 1235, 9361, 3629, 1006, 1419, 1026, 2790, 2631, 1060, 5297, 1495, 1592, 1511, 1687, 1325, 4417, 20, 2654, 18760, 5450, 1118, 1395, 1601, 1870, 31866, 1160, 1847, 27065, 20, 3713, 1096, 1094, 1271, 1783, 1048, 1184, 1323, 9121, 1005, 1503, 3100, 1493, 1340, 1076, 1118, 1616, 0, 986, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 28064, 1691, 75, 15519, 7152, 9894, 1118, 1989, 1235, 6737, 675, 695, 22157, 2803, 1048, 4929, 6718, 1096, 4417, 13445, 1084, 1096, 8898, 8341, 2605, 5956, 1048, 1009, 6672, 1871, 1264, 1325, 1294, 15725, 1006, 10541, 1048, 10395, 5525, 2739, 3469, 1005, 1048, 5426, 17584, 5036, 4805, 5267, 20700, 11665, 1118, 1323, 9253, 1005, 1118, 1261, 14023, 2348, 3696, 1184, 5450, 1043, 1989, 6737, 2856, 16, 25861, 6593, 1262, 16572, 1134, 25266, 16485, 13389, 1009, 3261, 1009, 3209, 1054, 18061, 3452, 2555, 85, 1317, 1157, 1419, 1299, 1184, 9175, 1118, 4982, 9758, 3012, 1663, 21534, 1664, 1132, 2250, 4666, 12381, 1160, 1998, 10807, 1028, 5280, 1309, 1927, 25756, 1298, 1178, 1043, 3469, 9750, 1159, 9758, 9251, 5896, 3240, 1456, 9467, 1029, 2917, 19353, 1049, 5847, 1531, 1009, 5795, 8853, 4196, 4065, 1006, 22084, 1187, 21534, 1049, 16704, 21534, 20177, 1159, 1132, 1456, 1327, 1026, 1048, 1503, 1836, 28770, 4666, 2803, 2856, 14079, 11343, 2250, 5626, 1836, 12805, 2092, 1134, 7499, 88, 1005, 3745, 1044, 6737, 1235, 3062, 9485, 1048, 11217, 3505, 2307, 1054, 2573, 6534, 1063, 2495, 79, 4593, 2304, 2997, 1094, 19884, 2364, 1005, 3745, 1048, 3004, 15954, 3748, 2475, 1646, 3960, 3326, 3335, 3048, 13122, 1048, 1395, 3495, 3539, 1006, 1184, 1009, 1083, 3832, 1349, 1620, 2449, 1989, 1063, 2495, 79, 1005, 2364, 2539, 20834, 3585, 7739, 8536, 1058, 1044, 1531, 9758, 9578, 5574, 2348, 1641, 1026, 13133, 1962, 6534, 15954, 1009, 5768, 1620, 8633, 28057, 5, 32, 16, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3295, 5207, 3670, 1030, 169, 1317, 1157, 5115, 10181, 1184, 1118, 2307, 1005, 2220, 1989, 15890, 1005, 2552, 1171, 5106, 1048, 2449, 9413, 1006, 1752, 4434, 20, 25377, 1048, 1325, 7464, 1077, 1187, 4434, 1678, 14059, 2856, 1308, 6666, 11665, 1356, 18687, 1005, 2691, 12265, 1009, 4434, 1916, 14581, 3689, 10181, 3822, 1118, 2307, 1071, 22155, 1192, 1532, 4666, 2803, 1054, 1048, 1160, 3074, 20608, 14894, 8578, 1109, 29077, 15, 2875, 3281, 1126, 1381, 1493, 1557, 1592, 3125, 19, 16, 1058, 1702, 1531, 1503, 1234, 5877, 1024, 1118, 5948, 4540, 11146, 6534, 1063, 2495, 79, 1005, 1734, 20834, 3585, 1043, 1299, 8633, 1208, 675, 695, 2995, 5385, 3696, 1005, 1495, 1026, 3867, 4434, 675, 695, 2856, 16, 25861, 3996, 1171, 93, 1130, 20197, 31465, 13389, 1009, 3261, 1009, 3209, 1054, 18061, 8037, 10229, 1284, 1133, 1184, 3445, 7, 2858, 1039, 1032, 1810, 1294, 3794, 14675, 4666, 1557, 1009, 2204, 17464, 31488, 7, 25861, 1691, 1045, 1342, 12113, 13389, 1009, 3261, 1009, 3209, 1054, 3186, 28345, 1940, 3588, 1048, 23725, 1049, 31333, 1413, 10025, 91, 675, 695, 7222, 1325, 37, 10407, 1089, 1054, 1299, 3530, 12627, 18951, 1048, 5553, 1058, 8505, 1853, 1592, 1043, 2693, 2122, 4087, 1049, 1784, 2856, 16, 25861, 3564, 1182, 1092, 1623, 1082, 7831, 13389, 1009, 3261, 1009, 3209, 1054, 3404, 27562, 1605, 21382, 1927, 1195, 2348, 6500, 7893, 2154, 2340, 17136, 2947, 1026, 2092, 8642, 3335, 1005, 18760, 2072, 5450, 1048, 1687, 4064, 20423, 7216, 1072, 15422, 1006, 5789, 1566, 2504, 3205, 1026, 1048, 7001, 1323, 1808, 1461, 1493, 5450, 2364, 1323, 6733, 2439, 1219, 1525, 2691, 6428, 1043, 2444, 4034, 1009, 1058, 7904, 2856, 14, 5168, 73, 1707, 11849, 1060, 2926, 10712, 2247, 1060, 19097, 1005, 2364, 2449, 4995, 1493, 1184, 1557, 1043, 1006, 2348, 12902, 11509, 4106, 1005, 11296, 1435, 1044, 1638, 14280, 1114, 28646, 1496, 1107, 31051, 12507, 1082, 3947, 1159, 1927, 25861, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3502, 1467, 79, 1048, 7492, 1048, 1299, 1381, 9914, 1072, 21382, 675, 695, 1503, 9133, 1072, 13380, 1005, 12180, 1493, 2856, 42, 1467, 2527, 1054, 14572, 1124, 14922, 1620, 1826, 1184, 1317, 1492, 1005, 1026, 9061, 1325, 9454, 1679, 2009, 73, 1554, 6836, 1009, 1261, 12562, 2309, 2250, 1033, 29547, 3074, 4481, 8140, 1962, 1857, 23990, 1656, 1044, 30706, 1184, 1068, 4537, 14130, 1118, 1616, 2856, 21, 12107, 7372, 1048, 1132, 2250, 4108, 25847, 1184, 7743, 1005, 1026, 1784, 1743, 5920, 1309, 28037, 1853, 1049, 1048, 1516, 675, 695, 10229, 1006, 3757, 1009, 7110, 2374, 12307, 2856, 16, 25861, 6593, 1685, 13389, 1009, 3261, 1009, 3209, 1054, 21368, 1442, 1759, 12759, 13951, 3071, 3107, 3402, 31127, 25861, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3502, 3008, 1056, 1328, 675, 695, 25861, 11709, 1024, 1021, 15685, 2337, 1009, 3261, 1009, 3209, 1054, 10916, 32, 4059, 24861, 1089, 1026, 4434, 6088, 7, 2656, 10029, 1006, 3907, 5856, 5281, 1286, 1081, 1102, 30009, 4552, 27390, 1049, 2930, 1531, 2307, 1054, 9841, 1377, 1084, 1009, 2252, 1124, 2594, 6481, 1592, 1124, 1184, 14274, 3273, 4800, 5758, 1005, 7386, 3469, 2318, 1273, 2289, 1356, 1048, 1026, 1784, 1325, 6718, 4277, 1159, 10395, 25990, 1153, 5793, 6530, 1068, 2453, 1005, 6141, 1054, 1043, 2289, 1048, 19412, 1298, 13584, 1026, 2143, 1009, 1044, 10882, 10492, 1206, 15574, 20, 23062, 5275, 1159, 1783, 1927, 5848, 86, 3677, 32, 29064, 1235, 1111, 158, 1363, 19966, 1286, 1081, 1672, 3012, 1323, 3754, 1571, 15317, 37, 2856, 1308, 89, 7393, 1048, 1058, 4877, 7899, 7181, 21534, 1992, 7, 25861, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3665, 8018, 73, 2118, 1043, 2289, 1026, 1048, 1299, 1973, 7, 5841, 11174, 16881, 1609, 1048, 1026, 1359, 2801, 8691, 1068, 1026, 1784, 1325, 3748, 1043, 1048, 1006, 4614, 7152, 1132, 4101, 1005, 3675, 71, 1026, 2950, 10395, 5525, 1006, 1871, 1048, 4929, 15075, 1005, 24892, 1026, 7118, 11341, 1096, 11418, 1159, 5426, 17584, 8399, 7314, 1048, 4444, 1349, 5036, 4805, 5267, 675, 695, 1605, 1111, 158, 1363, 1096, 1114, 4556, 1044, 8148, 1122, 152, 1005, 1503, 26213, 1114, 28675, 1358, 91, 1631, 2856, 1308, 32, 16, 25861, 5, 1781, 1052, 18724, 5, 2708, 1009, 3261, 1009, 3209, 1054, 1158, 24383, 2995, 5385, 3696, 1082, 3947, 1503, 12280, 1927, 1044, 1039, 1032, 1810, 1072, 3152, 1511, 1503, 10029, 1569, 5795, 7, 6062, 8393, 1009, 21382, 1028, 16188, 1323, 11902, 1026, 2822, 1009, 3232, 1009, 21382, 1072, 4489, 1009, 14993, 1054, 1048, 1503, 1005, 2348, 2531, 3739, 2602, 2997, 1094, 2922, 1357, 1380, 1226, 1060, 3178, 5147, 1009, 2025, 1056, 1182, 9186, 1976, 1058, 1663, 8134, 1307, 1646, 1048, 1616, 5140, 20, 10689, 1048, 1006, 4614, 20352, 1048, 1026, 8190, 1009, 21382, 1096, 1044, 1187, 1184, 5350, 7010, 1005, 18657, 10517, 21131, 8067, 5615, 1049, 1048, 4929, 15075, 18, 12280, 1558, 2528, 3987, 3616, 21082, 2593, 1043, 1006, 2531, 3332, 1236, 2054, 1517, 1157, 1054, 16851, 20984, 1323, 11902, 8536, 3469, 1048, 1503, 7482, 6601, 1159, 1094, 22004, 1680, 1039, 1032, 1328, 1005, 1044, 2574, 1168, 2537, 1140, 1048, 7032, 1006, 3421, 1754, 1495, 1006, 18745, 1206, 1094, 2423, 6498, 1628, 1145, 1005, 1786, 27510, 1060, 1080, 13103, 95, 1059, 1051, 19337, 23777, 1005, 1927, 29064, 1026, 1307, 3286, 1253, 1678, 1096, 2631, 5662, 3433, 2307, 20423, 1235, 3284, 1927, 20836, 1208, 1026, 3152, 22311, 11764, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 2708, 2555, 1027, 5450, 1054, 3291, 1048, 15519, 3152, 1039, 1032, 1810, 1043, 1124, 5220, 5795, 675, 695, 3670, 12180, 1493, 2289, 1026, 1048, 8981, 1026, 1286, 1081, 1667, 1063, 3357, 1049, 19918, 1026, 23682, 1124, 5281, 1271, 8794, 0, 158, 1094, 6500, 2072, 2127, 2856, 1308, 17665, 12280, 3971, 1009, 6390, 1159, 1989, 1048, 1299, 4303, 3205, 1309, 5192, 1048, 4108, 4108, 4803, 6423, 1006, 1622, 1663, 1616, 1005, 27226, 22294, 1184, 1620, 1857, 7, 2995, 13103, 95, 1323, 6733, 1294, 90, 1828, 77, 1145, 675, 695, 5, 32, 16, 1005, 1048, 2122, 3757, 2374, 1184, 7743, 1068, 1664, 25861, 1797, 1226, 15459, 1207, 9442, 3459, 1009, 3261, 1009, 3209, 1054, 12150, 2830, 29554, 6088, 7, 2345, 2678, 2073, 12195, 1048, 3241, 1184, 1271, 1569, 9661, 3342, 25406, 675, 697, 24861, 1089, 1456, 9467, 1029, 2917, 1005, 1224, 6344, 1328, 2201, 3791, 95, 1005, 1043, 76, 95, 7, 20262, 4481, 2219, 1962, 1048, 5877, 4108, 2122, 4415, 1049, 12523, 20, 1084, 1048, 1664, 25847, 14515, 20584, 10313, 9765, 2950, 6273, 1899, 2682, 22311, 11764, 1691, 1045, 1342, 12113, 5, 3531, 1009, 3261, 1009, 3209, 1054, 12150, 3452, 1940, 1221, 1493, 5450, 1048, 1299, 29790, 1133, 1271, 5220, 23311, 1413, 10025, 91, 675, 695, 1759, 7393, 18760, 7890, 1435, 1511, 10029, 1048, 1225, 6737, 1235, 1118, 9175, 3855, 37, 2856, 13312, 6155, 1053, 7, 2778, 1157, 1132, 2250, 1068, 2693, 2122, 4087, 1058, 5807, 1005, 1068, 1048, 1006, 4614, 22655, 6313, 1009, 1094, 1871 ]

[ 3665, 3740, 10706, 25, 3665, 1232, 675, 1232, 2475, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3430, 3740, 10706, 25, 3430, 1232, 675, 1232, 2475, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 1442, 3740, 10706, 25, 1442, 1232, 675, 1232, 2224, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 1404, 3740, 10706, 25, 1404, 1232, 675, 1232, 2322, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 2337, 3740, 10706, 25, 2337, 1232, 675, 1232, 2523, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 2708, 3740, 10706, 25, 2708, 1232, 675, 1232, 2128, 7993, 4864, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 3459, 3740, 10706, 25, 3459, 1232, 675, 1232, 1578, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3531, 3740, 10706, 25, 3531, 7339, 1093, 1330, 3608, 1232, 675, 1232, 3186, 7993, 4864, 1232, 31071, 96, 81, 6998, 1095, 216, 1232, 14538, 1067, 5415, 2150, 96, 10709, 1232, 1711, 1232, 16300, 3413, 3740, 10706, 25, 3413, 1232, 675, 1232, 3727, 7993, 4864, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3876, 4194, 10706, 25, 3876, 1232, 675, 1232, 1844, 2501, 4864, 1232, 1587, 15747, 31178, 1232, 6210, 1106, 1792, 18882, 1081, 1232, 1711, 1232, 16300, 3851, 4194, 10706, 25, 3851, 1232, 675, 1232, 1844, 2501, 4864, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 16300, 3989, 3914, 10706, 25, 3989, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 4059, 4194, 10706, 25, 4059, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1073, 2144, 1016, 1232, 16300, 2721, 4194, 10706, 25, 2721, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 23, 4194, 10706, 4406, 23, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 25611, 1814, 1232, 2108, 4406, 24, 3740, 10706, 4406, 24, 1232, 675, 1232, 2182, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 25, 3740, 10706, 4406, 25, 1232, 675, 1232, 3734, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 26, 4194, 10706, 4406, 26, 1232, 675, 1232, 2182, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 25611, 1814, 1232, 2108, 4406, 27, 4194, 10706, 4406, 27, 1232, 675, 1232, 2128, 2501, 4864, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4406, 28, 4194, 10706, 4406, 28, 1232, 675, 1232, 1799, 8662, 4864, 1232, 4036, 1232, 4102, 1232, 1180, 6369, 1232, 2108, 4406, 29, 3740, 10706, 4406, 29, 1232, 675, 1232, 1844, 8662, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 30, 4194, 10706, 4406, 30, 1232, 675, 1232, 1782, 8662, 4864, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4406, 31, 4194, 10706, 4406, 31, 1232, 675, 1232, 1799, 8662, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3949, 4194, 10706, 25, 3949, 1232, 675, 1232, 2322, 8662, 4864, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4990, 23, 4194, 10706, 4990, 23, 1232, 675, 1232, 3186, 8662, 4864, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 22079, 1232, 2108, 4990, 24, 3740, 10706, 4990, 24, 1232, 675, 1232, 1779, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 25, 4194, 10706, 4990, 25, 1232, 675, 1232, 1799, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 26, 4194, 10706, 4990, 26, 1232, 675, 1232, 1844, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 4368, 4194, 10706, 25, 4368, 1232, 675, 1232, 1782, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 22079, 1232, 2108, 4990, 28, 4194, 10706, 4990, 28, 1232, 675, 1232, 2523, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 29, 2076, 7586, 42, 6281, 44, 1433, 10706, 4990, 29, 2915, 8010, 1232, 675, 1232, 3295, 2279, 4864, 1232, 9664, 1232, 11462, 12167, 3769, 1324, 7536, 9398, 8146, 18, 14538, 7536, 2529, 81, 3645, 1232, 1711, 1232, 2108, 4990, 30, 2076, 7586, 42, 6281, 44, 1433, 10706, 4990, 30, 1232, 675, 1232, 1307, 1286, 4864, 1232, 9664, 1232, 7536, 9398, 8146, 18, 7833, 19663, 80, 1875, 1100, 4808, 11086, 18638, 1468, 5146, 96, 1232, 1711, 1232, 2108, 4990, 31, 4194, 10706, 4990, 31, 1344, 11388, 1232, 675, 1232, 2224, 2256, 4864, 1232, 1180, 5725, 1139, 1232, 1180, 5725, 1139, 31922, 1232, 1711, 1232, 16300, 2704, 3914, 10706, 25, 2704, 6899, 20088, 1269, 1232, 675, 1232, 1307, 10856, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 23, 3914, 10706, 4673, 23, 18992, 6426, 1593, 4257, 1232, 675, 1232, 2322, 10856, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 24, 30618, 5881, 30871, 10706, 4673, 24, 24223, 93, 2902, 1232, 675, 1232, 2523, 10856, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 25, 3914, 10706, 4673, 25, 9685, 8765, 80, 1965, 1617, 1232, 675, 1232, 1422, 7993, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 26, 3914, 10706, 4673, 26, 14401, 80, 4340, 1232, 675, 1232, 2523, 7993, 4483, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4673, 27, 3914, 10706, 4673, 27, 1232, 675, 1232, 2182, 7993, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 28, 3914, 10706, 4673, 28, 1232, 675, 1232, 3771, 7993, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4673, 29, 3914, 10706, 4673, 29, 1232, 675, 1232, 2595, 7993, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4673, 30, 3914, 10706, 4673, 30, 1232, 675, 1232, 2595, 7993, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4673, 31, 3914, 10706, 4673, 31, 1232, 675, 1232, 2595, 7993, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4160, 4194, 10706, 25, 4160, 1232, 675, 1232, 3734, 7993, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4994, 23, 3740, 10706, 4994, 23, 1924, 1188, 1232, 4483, 1144, 64, 1232, 1307, 2501, 4483, 1232, 3399, 23283, 1221, 7070, 2401, 1232, 6759, 22554, 75, 1232, 1711, 1232, 2108, 4994, 24, 3914, 10706, 4994, 24, 1232, 675, 1232, 1083, 2501, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4994, 25, 4194, 10706, 4994, 25, 1232, 675, 1232, 1307, 2501, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4655, 3740, 10706, 25, 4655, 7806, 10844, 2850, 1232, 675, 1232, 1307, 2501, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4994, 27, 3914, 10706, 4994, 27, 1232, 675, 1232, 1779, 2501, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4994, 28, 3914, 10706, 4994, 28, 1232, 675, 1232, 1487, 2501, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4994, 29, 3914, 10706, 4994, 29, 2330, 2005, 93, 1232, 675, 1232, 1101, 2501, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4994, 30, 3740, 10706, 4994, 30, 23588, 1192, 1066, 1326, 1014, 1232, 675, 1232, 1307, 2501, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4994, 31, 3914, 10706, 4994, 31, 1232, 675, 1232, 1675, 2501, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 4700, 3914, 10706, 25, 4700, 1232, 675, 1232, 3727, 2501, 4483, 1232, 9664, 1232, 9510, 1232, 1180, 6369, 1232, 2108, 4943, 23, 3914, 10706, 4943, 23, 1232, 675, 1232, 3939, 2501, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 24, 3914, 10706, 4943, 24, 1232, 4483, 1073, 63, 1232, 1083, 8662, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4943, 25, 3740, 10706, 4943, 25, 1232, 675, 1232, 1083, 8662, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4943, 26, 3914, 10706, 4943, 26, 1232, 675, 1232, 1083, 8662, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4943, 27, 3914, 10706, 4943, 27, 1344, 2507, 1045, 1232, 675, 1232, 1782, 8662, 4483, 1232, 1138, 5331, 4013, 89, 13052, 1232, 7833, 1123, 22466, 1232, 1711, 1232, 2108, 4943, 28, 3914, 10706, 4943, 28, 1232, 675, 1232, 1422, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 29, 4194, 10706, 4943, 29, 1232, 675, 1232, 1422, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 30, 3740, 10706, 4943, 30, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 31, 4194, 10706, 4943, 31, 1232, 675, 1232, 2978, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 25611, 1814, 1232, 16300, 3663, 3914, 10706, 25, 3663, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5963, 23, 3740, 10706, 5963, 23, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 5963, 24, 3740, 10706, 5963, 24, 1232, 675, 1232, 3734, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 5963, 25, 4194, 10706, 5963, 25, 1232, 675, 1232, 3734, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 5205, 3914, 10706, 25, 5205, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 16300, 4705, 4194, 10706, 25, 4705, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 22079, 1232, 16300, 4829, 3740, 10706, 25, 4829, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4969, 3914, 10706, 25, 4969, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4325, 4194, 10706, 25, 4325, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 16300, 4754, 4194, 10706, 25, 4754, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 22079, 1232, 16300, 4332, 3914, 10706, 25, 4332, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 5235, 23, 4194, 10706, 5235, 23, 1232, 675, 1232, 3771, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 5235, 24, 3914, 10706, 5235, 24, 1232, 675, 1232, 2595, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 5235, 25, 3914, 10706, 5235, 25, 1232, 675, 1232, 2595, 8662, 4483, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 5235, 26, 4194, 10706, 5235, 26, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 27, 3914, 10706, 5235, 27, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 28, 3914, 10706, 5235, 28, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 29, 3740, 10706, 5235, 29, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 30, 3914, 10706, 5235, 30, 1232, 675, 1232, 2595, 8662, 4483, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3990, 3740, 10706, 25, 3990, 1232, 675, 1232, 2595, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 13332, 1254, 4194, 10706, 17936, 1232, 675, 1232, 3771, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2003, 5340, 23, 1404, 3949, 23, 13820, 1404, 9238, 21995, 5594, 2056, 3887, 10706, 3949, 23, 1232, 675, 1232, 1307, 2279, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 3949, 24, 4194, 10706, 3949, 24, 1232, 675, 1232, 1799, 2279, 4483, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3949, 25, 3740, 10706, 3949, 25, 1232, 675, 1232, 2475, 2279, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 4654, 2607, 7690, 1232, 2108, 3949, 26, 3914, 10706, 3949, 26, 1232, 675, 1232, 2322, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 27, 3740, 10706, 3949, 27, 1067, 92, 95, 1065, 4307, 1070, 4070, 1232, 675, 1232, 2978, 2279, 4483, 1232, 2312, 88, 6488, 1070, 4070, 1232, 31611, 11354, 225, 189, 29465, 1100, 1941, 20, 1156, 1589, 225, 189, 1051, 9968, 1232, 1711, 1232, 2108, 3949, 28, 3740, 10706, 3949, 28, 1232, 675, 1232, 3727, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 29, 3914, 10706, 3949, 29, 1232, 675, 1232, 2971, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 30, 4194, 10706, 3949, 30, 1232, 675, 1232, 2978, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 31, 3914, 10706, 3949, 31, 1232, 3186, 5988, 1073, 5537, 1232, 2978, 2279, 10321, 1232, 9664, 1232, 11555, 57, 1232, 1711, 1232, 13332, 1839, 3914, 10706, 26, 1839, 1232, 1101, 2708, 27, 1073, 5537, 1232, 2978 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3665, 3740, 10706, 25, 3665, 1232, 675, 1232, 2475, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3430, 3740, 10706, 25, 3430, 1232, 675, 1232, 2475, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 1442, 3740, 10706, 25, 1442, 1232, 675, 1232, 2224, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 1404, 3740, 10706, 25, 1404, 1232, 675, 1232, 2322, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 2337, 3740, 10706, 25, 2337, 1232, 675, 1232, 2523, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 2708, 3740, 10706, 25, 2708, 1232, 675, 1232, 2128, 7993, 4864, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 3459, 3740, 10706, 25, 3459, 1232, 675, 1232, 1578, 7993, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3531, 3740, 10706, 25, 3531, 7339, 1093, 1330, 3608, 1232, 675, 1232, 3186, 7993, 4864, 1232, 31071, 96, 81, 6998, 1095, 216, 1232, 14538, 1067, 5415, 2150, 96, 10709, 1232, 1711, 1232, 16300, 3413, 3740, 10706, 25, 3413, 1232, 675, 1232, 3727, 7993, 4864, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3876, 4194, 10706, 25, 3876, 1232, 675, 1232, 1844, 2501, 4864, 1232, 1587, 15747, 31178, 1232, 6210, 1106, 1792, 18882, 1081, 1232, 1711, 1232, 16300, 3851, 4194, 10706, 25, 3851, 1232, 675, 1232, 1844, 2501, 4864, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 16300, 3989, 3914, 10706, 25, 3989, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 4059, 4194, 10706, 25, 4059, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1073, 2144, 1016, 1232, 16300, 2721, 4194, 10706, 25, 2721, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 23, 4194, 10706, 4406, 23, 1232, 675, 1232, 2475, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 25611, 1814, 1232, 2108, 4406, 24, 3740, 10706, 4406, 24, 1232, 675, 1232, 2182, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 25, 3740, 10706, 4406, 25, 1232, 675, 1232, 3734, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 26, 4194, 10706, 4406, 26, 1232, 675, 1232, 2182, 2501, 4864, 1232, 4036, 1232, 4102, 1232, 25611, 1814, 1232, 2108, 4406, 27, 4194, 10706, 4406, 27, 1232, 675, 1232, 2128, 2501, 4864, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4406, 28, 4194, 10706, 4406, 28, 1232, 675, 1232, 1799, 8662, 4864, 1232, 4036, 1232, 4102, 1232, 1180, 6369, 1232, 2108, 4406, 29, 3740, 10706, 4406, 29, 1232, 675, 1232, 1844, 8662, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4406, 30, 4194, 10706, 4406, 30, 1232, 675, 1232, 1782, 8662, 4864, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4406, 31, 4194, 10706, 4406, 31, 1232, 675, 1232, 1799, 8662, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3949, 4194, 10706, 25, 3949, 1232, 675, 1232, 2322, 8662, 4864, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4990, 23, 4194, 10706, 4990, 23, 1232, 675, 1232, 3186, 8662, 4864, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 22079, 1232, 2108, 4990, 24, 3740, 10706, 4990, 24, 1232, 675, 1232, 1779, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 25, 4194, 10706, 4990, 25, 1232, 675, 1232, 1799, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 26, 4194, 10706, 4990, 26, 1232, 675, 1232, 1844, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 4368, 4194, 10706, 25, 4368, 1232, 675, 1232, 1782, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 22079, 1232, 2108, 4990, 28, 4194, 10706, 4990, 28, 1232, 675, 1232, 2523, 2279, 4864, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 29, 2076, 7586, 42, 6281, 44, 1433, 10706, 4990, 29, 2915, 8010, 1232, 675, 1232, 3295, 2279, 4864, 1232, 9664, 1232, 11462, 12167, 3769, 1324, 7536, 9398, 8146, 18, 14538, 7536, 2529, 81, 3645, 1232, 1711, 1232, 2108, 4990, 30, 2076, 7586, 42, 6281, 44, 1433, 10706, 4990, 30, 1232, 675, 1232, 1307, 1286, 4864, 1232, 9664, 1232, 7536, 9398, 8146, 18, 7833, 19663, 80, 1875, 1100, 4808, 11086, 18638, 1468, 5146, 96, 1232, 1711, 1232, 2108, 4990, 31, 4194, 10706, 4990, 31, 1344, 11388, 1232, 675, 1232, 2224, 2256, 4864, 1232, 1180, 5725, 1139, 1232, 1180, 5725, 1139, 31922, 1232, 1711, 1232, 16300, 2704, 3914, 10706, 25, 2704, 6899, 20088, 1269, 1232, 675, 1232, 1307, 10856, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 23, 3914, 10706, 4673, 23, 18992, 6426, 1593, 4257, 1232, 675, 1232, 2322, 10856, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 24, 30618, 5881, 30871, 10706, 4673, 24, 24223, 93, 2902, 1232, 675, 1232, 2523, 10856, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 25, 3914, 10706, 4673, 25, 9685, 8765, 80, 1965, 1617, 1232, 675, 1232, 1422, 7993, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 26, 3914, 10706, 4673, 26, 14401, 80, 4340, 1232, 675, 1232, 2523, 7993, 4483, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4673, 27, 3914, 10706, 4673, 27, 1232, 675, 1232, 2182, 7993, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4673, 28, 3914, 10706, 4673, 28, 1232, 675, 1232, 3771, 7993, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4673, 29, 3914, 10706, 4673, 29, 1232, 675, 1232, 2595, 7993, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4673, 30, 3914, 10706, 4673, 30, 1232, 675, 1232, 2595, 7993, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4673, 31, 3914, 10706, 4673, 31, 1232, 675, 1232, 2595, 7993, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4160, 4194, 10706, 25, 4160, 1232, 675, 1232, 3734, 7993, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4994, 23, 3740, 10706, 4994, 23, 1924, 1188, 1232, 4483, 1144, 64, 1232, 1307, 2501, 4483, 1232, 3399, 23283, 1221, 7070, 2401, 1232, 6759, 22554, 75, 1232, 1711, 1232, 2108, 4994, 24, 3914, 10706, 4994, 24, 1232, 675, 1232, 1083, 2501, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4994, 25, 4194, 10706, 4994, 25, 1232, 675, 1232, 1307, 2501, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4655, 3740, 10706, 25, 4655, 7806, 10844, 2850, 1232, 675, 1232, 1307, 2501, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4994, 27, 3914, 10706, 4994, 27, 1232, 675, 1232, 1779, 2501, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4994, 28, 3914, 10706, 4994, 28, 1232, 675, 1232, 1487, 2501, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4994, 29, 3914, 10706, 4994, 29, 2330, 2005, 93, 1232, 675, 1232, 1101, 2501, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4994, 30, 3740, 10706, 4994, 30, 23588, 1192, 1066, 1326, 1014, 1232, 675, 1232, 1307, 2501, 4483, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4994, 31, 3914, 10706, 4994, 31, 1232, 675, 1232, 1675, 2501, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 4700, 3914, 10706, 25, 4700, 1232, 675, 1232, 3727, 2501, 4483, 1232, 9664, 1232, 9510, 1232, 1180, 6369, 1232, 2108, 4943, 23, 3914, 10706, 4943, 23, 1232, 675, 1232, 3939, 2501, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 24, 3914, 10706, 4943, 24, 1232, 4483, 1073, 63, 1232, 1083, 8662, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4943, 25, 3740, 10706, 4943, 25, 1232, 675, 1232, 1083, 8662, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4943, 26, 3914, 10706, 4943, 26, 1232, 675, 1232, 1083, 8662, 4483, 1232, 15556, 1253, 11608, 1232, 1067, 3920, 1232, 1711, 1232, 2108, 4943, 27, 3914, 10706, 4943, 27, 1344, 2507, 1045, 1232, 675, 1232, 1782, 8662, 4483, 1232, 1138, 5331, 4013, 89, 13052, 1232, 7833, 1123, 22466, 1232, 1711, 1232, 2108, 4943, 28, 3914, 10706, 4943, 28, 1232, 675, 1232, 1422, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 29, 4194, 10706, 4943, 29, 1232, 675, 1232, 1422, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 30, 3740, 10706, 4943, 30, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 4943, 31, 4194, 10706, 4943, 31, 1232, 675, 1232, 2978, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 25611, 1814, 1232, 16300, 3663, 3914, 10706, 25, 3663, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5963, 23, 3740, 10706, 5963, 23, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 5963, 24, 3740, 10706, 5963, 24, 1232, 675, 1232, 3734, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 5963, 25, 4194, 10706, 5963, 25, 1232, 675, 1232, 3734, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 5205, 3914, 10706, 25, 5205, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 16300, 4705, 4194, 10706, 25, 4705, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 22079, 1232, 16300, 4829, 3740, 10706, 25, 4829, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4969, 3914, 10706, 25, 4969, 1232, 675, 1232, 2971, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 16300, 4325, 4194, 10706, 25, 4325, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 16300, 4754, 4194, 10706, 25, 4754, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 22079, 1232, 16300, 4332, 3914, 10706, 25, 4332, 1232, 675, 1232, 3727, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 5235, 23, 4194, 10706, 5235, 23, 1232, 675, 1232, 3771, 8662, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 5235, 24, 3914, 10706, 5235, 24, 1232, 675, 1232, 2595, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 5235, 25, 3914, 10706, 5235, 25, 1232, 675, 1232, 2595, 8662, 4483, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 5235, 26, 4194, 10706, 5235, 26, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 27, 3914, 10706, 5235, 27, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 28, 3914, 10706, 5235, 28, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 29, 3740, 10706, 5235, 29, 1232, 675, 1232, 3734, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 5235, 30, 3914, 10706, 5235, 30, 1232, 675, 1232, 2595, 8662, 4483, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3990, 3740, 10706, 25, 3990, 1232, 675, 1232, 2595, 8662, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 13332, 1254, 4194, 10706, 17936, 1232, 675, 1232, 3771, 8662, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2003, 5340, 23, 1404, 3949, 23, 13820, 1404, 9238, 21995, 5594, 2056, 3887, 10706, 3949, 23, 1232, 675, 1232, 1307, 2279, 4483, 1232, 9664, 1232, 9510, 1232, 1711, 1232, 2108, 3949, 24, 4194, 10706, 3949, 24, 1232, 675, 1232, 1799, 2279, 4483, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3949, 25, 3740, 10706, 3949, 25, 1232, 675, 1232, 2475, 2279, 4483, 1232, 9646, 10763, 1232, 14480, 1232, 4654, 2607, 7690, 1232, 2108, 3949, 26, 3914, 10706, 3949, 26, 1232, 675, 1232, 2322, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 27, 3740, 10706, 3949, 27, 1067, 92, 95, 1065, 4307, 1070, 4070, 1232, 675, 1232, 2978, 2279, 4483, 1232, 2312, 88, 6488, 1070, 4070, 1232, 31611, 11354, 225, 189, 29465, 1100, 1941, 20, 1156, 1589, 225, 189, 1051, 9968, 1232, 1711, 1232, 2108, 3949, 28, 3740, 10706, 3949, 28, 1232, 675, 1232, 3727, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 29, 3914, 10706, 3949, 29, 1232, 675, 1232, 2971, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 30, 4194, 10706, 3949, 30, 1232, 675, 1232, 2978, 2279, 4483, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3949, 31, 3914, 10706, 3949, 31, 1232, 3186, 5988, 1073, 5537, 1232, 2978, 2279, 10321, 1232, 9664, 1232, 11555, 57, 1232, 1711, 1232, 13332, 1839, 3914, 10706, 26, 1839, 1232, 1101, 2708, 27, 1073, 5537, 1232, 2978 ]

[ 2072, 27552, 2598, 2155, 1395, 22256, 1024, 6953, 16839, 1503, 1015, 1477, 1989, 2058, 1054, 1044, 2269, 15062, 1383, 3062, 1114, 12498, 1096, 1044, 7939, 7479, 2555, 18562, 9424, 22485, 3933, 8229, 1118, 25026, 7034, 1383, 6185, 17192, 8920, 2519, 18, 1096, 2072, 1638, 2662, 15707, 28342, 1052, 4753, 2598, 2177, 1026, 1592, 1576, 27325, 1009, 22485, 3933, 1026, 1720, 1049, 23007, 1467, 1641, 1325, 16631, 1043, 1132, 11307, 1060, 4556, 1383, 2289, 1026, 1048, 4800, 1663, 1096, 10066, 1006, 2033, 1377, 1, 2760, 4714, 2301, 1026, 1180, 8563, 1134, 22973, 12969, 1068, 10697, 2539, 8578, 19357, 1054, 1044, 2788, 1005, 3074, 3027, 3171, 1043, 1006, 8227, 1160, 19257, 5560, 1072, 1831, 7705, 1072, 9292, 2873, 5953, 44, 12063, 71, 1680, 1054, 1734, 5016, 11141, 2240, 7216, 1325, 1026, 16138, 32, 2674, 1697, 1283, 1522, 5935, 8173, 1246, 14035, 30283, 8, 1283, 1951, 675, 675, 675, 2052, 26828, 15, 2124, 26919, 13950, 2061, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 2441, 11945, 60, 2262, 1078, 2970, 8180, 1134, 22973, 12969, 14746, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 21975, 8870, 3094, 8427, 1558, 2351, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 13495, 3639, 73, 3691, 8427, 29072, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 21937, 6893, 8427, 1538, 30, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 1029, 1914, 8427, 1538, 28, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 16767, 7040, 1021, 8427, 1538, 1045, 14003, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 16767, 7040, 2703, 8427, 1538, 1045, 14003, 8325, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 1283, 18647, 1283, 7944, 2771, 7216, 1325, 1026, 11000, 32, 2674, 1697, 1283, 1522, 1746, 1283, 5889, 1522, 14132, 2388, 1246, 6373, 10090, 8, 1283, 1840, 1283, 1522, 1006, 2388, 1246, 13907, 2262, 1078, 2970, 8, 4881, 1246, 14973, 92, 2262, 10828, 8827, 2721, 8, 1283, 1840, 7310, 56, 1142, 1346, 1083, 2403, 1283, 17170, 1283, 1840, 1283, 16686, 1283, 5889, 1522, 14132, 2388, 1246, 6373, 2341, 8, 1283, 1840, 10070, 32, 9216, 1283, 16686, 1283, 5889, 1522, 14132, 2388, 1246, 13907, 12009, 8, 7815, 1246, 8055, 14899, 32, 3819, 8, 1283, 1951, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 13907, 2262, 10828, 8827, 2721, 8, 1283, 7641, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 5935, 8173, 1246, 1538, 5509, 30283, 13, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2254, 19357, 3386, 89, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 11490, 32, 1538, 11612, 1042, 2657, 4013, 4124, 30231, 2459, 1491, 6487, 9907, 3814, 21, 12784, 9211, 4104, 2427, 1262, 1081, 2541, 3752, 1220, 20165, 5957, 92, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 5974, 32, 1538, 2721, 8325, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 28799, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2254, 1068, 9907, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2020, 83, 2836, 32, 1538, 1568, 13482, 1295, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1106, 10550, 4562, 2713, 32, 1538, 9, 10345, 10345, 10345, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1200, 1177, 32, 25280, 5183, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 3292, 9907, 3290, 7283, 4991, 32, 15301, 7393, 8325, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 28799, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 22861, 76, 17849, 20, 1353, 27374, 93, 76, 2996, 11612, 1042, 2657, 4013, 4124, 30231, 12637, 69, 5957, 2690, 21, 6749, 2652, 27919, 76, 2820, 1538, 6749, 1014, 2721, 2820, 1538, 22257, 2820, 1538, 23243, 2820, 1538, 3537, 18243, 2820, 1538, 1774, 2181, 8849, 2144, 3677, 93, 76, 2820, 19357, 3386, 1678, 1068, 9907, 4035, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 18647, 1283, 7641, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 1150, 6749, 1014, 2721, 8, 1283, 1840, 1283, 8115, 1283, 1951, 675, 675, 675, 1283, 8115, 1283, 5889, 16686, 1283, 5889, 28326, 1283, 7944, 2771, 24015, 1089, 8723, 1094, 8227, 1009, 8759, 1009, 3596, 13418, 1140, 1009, 3596, 1005, 8759, 1072, 1831, 7705, 2338, 2277, 7705, 1096, 30252, 2240, 2654, 23925, 1461, 2073, 8377, 20, 2240, 11161, 7, 5506, 10887, 2350, 3469, 1048, 1299, 1298, 3689, 5807, 1026, 2863, 1043, 1006, 8227, 1134, 22973, 7132, 1160, 19257, 5560, 1072, 1831, 7705, 1072, 29163, 5302, 13189, 1006, 4169, 7732, 3766, 1175, 2435, 1665, 8, 1726, 1569, 9007, 1009, 1134, 22973, 7132, 5983, 1697, 17585, 1013, 4821, 8427, 7448, 2264, 15351, 4283, 1175, 2435, 7361, 150, 1026, 3284, 1060, 8227, 1134, 22973, 12969, 1996, 1009, 1178, 6888, 1005, 1298, 3371, 1043, 1026, 2863, 6143, 8017, 1026, 5606, 1009, 3806, 3943, 84, 1491, 29737, 8, 1068, 5348, 17699, 6355, 1006, 8227, 1134, 22973, 7132, 1986, 1006, 6222, 5983, 1697, 1538, 1081, 1491, 29737, 8427, 9025, 2061, 1824, 675, 675, 675, 2052, 2124, 44, 22973, 25468, 5953, 3985, 4797, 3625, 99, 2264, 15351, 5348, 28573, 1945, 1006, 8227, 1134, 22973, 12969, 1986, 1006, 3986, 5484, 1026, 1048, 1298, 3371, 1043, 1026, 2863, 6291, 3275, 10125, 1235, 2326, 1009, 4449, 19357, 1054, 1094, 2562, 1005, 1770, 75, 2122, 2562, 1072, 5606, 1009, 3806, 2951, 4828, 1248, 3094, 3636, 2294, 1697, 13495, 76, 1363, 57, 3094, 8427, 9025, 2061, 1824, 675, 675, 675, 28092, 60, 12009, 3625, 99, 2264, 15351, 10513, 1945, 1026, 18355, 1049, 4449, 19357, 1495, 1846, 1048, 1006, 8227, 1134, 22973, 7132, 5037, 5560, 5227, 2166, 1026, 1048, 1298, 3371, 1043, 1026, 2863, 10576, 1325, 1044, 2991, 1009, 1159, 1026, 2326, 10215, 1298, 1178, 5983, 1697, 1283, 1522, 5935, 8173, 1246, 14035, 30283, 8, 1283, 1951, 10, 26828, 15, 2124, 26919, 13950, 2061, 1824, 675, 675, 675, 2052, 2441, 11945, 60, 2262, 1078, 2970, 8180, 1134, 22973, 12969, 14746, 675, 675, 675, 675, 675, 675, 675, 21975, 8870, 3094, 8427, 1558, 2351, 5, 675, 675, 675, 675, 675, 675, 675, 13495, 3639, 73, 3691, 8427, 29072, 675, 675, 675, 675, 675, 675, 675, 1538, 21937, 6893, 8427, 1538, 30, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 1029, 1914, 8427, 1538, 28, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 16767, 7040, 1021, 8427, 1538, 1045, 14003, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 11052, 7040, 2703, 8427, 1538, 1045, 14003, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 21145, 1175, 2435, 1665, 8427, 29072, 675, 675, 675, 675, 675, 675, 675, 1538, 16739, 1491, 29737, 8427, 9025, 2061, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2052, 2124, 44, 22973, 25468, 5953, 3985, 4797, 3625, 675, 675, 675, 675, 675, 675, 675, 10925, 675, 675, 675, 675, 675, 675, 675, 13495, 4828, 1248, 3094, 8427, 9025, 2061, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 28092, 60, 12009, 3625, 675, 675, 675, 675, 675, 675, 675, 2886, 675, 675, 675, 10804, 31459, 16965, 28092, 92, 12009, 2061, 1824, 675, 675, 675, 2254, 19357, 3386, 89, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 11490, 32, 1538, 11612, 1042, 2657, 4013, 4124, 30231, 2459, 1491, 6487, 9907, 3814, 21, 12784, 9211, 4104, 2427, 1262, 1081, 2541, 3752, 1220, 20165, 5957, 92, 7373, 675, 675, 675, 675, 675, 675, 675, 5974, 32, 1538, 2721, 8325, 675, 675, 675, 28799, 675, 675, 675, 2254, 1068, 9907, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 2020, 83, 2836, 32, 1538, 1568, 13482, 1295, 7373, 675, 675, 675, 675, 675, 675, 675, 1106, 10550, 4562, 2713, 32, 1538, 9, 10345, 10345, 10345, 7373, 675, 675, 675, 675, 675, 675, 675, 1200, 1177, 32, 25280, 5183, 7373, 675, 675, 675, 675, 675, 675, 675, 3292, 9907, 3290, 7283, 4991, 32, 15301, 7393, 8325, 675, 675, 675, 28799, 675, 675, 675, 22861, 76, 17849, 20, 1353, 27374, 93, 76, 2996, 11612, 1042, 2657, 4013, 4124, 30231, 12637, 69, 5957, 2690, 21, 6749, 2652, 27919, 76, 2820, 1538, 6749, 1014, 2721, 2820, 1538, 22257, 2820, 1538, 23243, 2820, 1538, 3537, 18243, 2820, 1538, 1774, 2181, 8849, 2144, 3677, 93, 76, 2820, 19357, 3386, 1678, 1068, 9907, 1621, 3203, 12, 18647, 1283, 1840, 2264, 2134, 6448, 1091, 11074, 1094, 1206, 1094, 9546, 5856, 6286, 1005, 9637, 1058, 1687, 15859, 1026, 2863, 1072, 9292, 2873, 5953, 40, 5385, 7061, 7, 1, 11490, 6888, 1054, 10050, 8652, 6631, 1044, 2658, 1072, 1073, 4976, 3529, 1299, 1298, 2071, 1006, 2562, 1741, 15064, 8586, 1741, 6354, 1325, 1044, 15072, 22597, 14892, 11083, 1044, 2658, 3509, 19914, 1772, 1667, 20465, 8, 1072, 3756, 1009, 5655, 5, 22611, 1246, 6888, 2441, 1774, 1772, 1667, 20465, 1406, 1150, 88, 8, 17935, 2332, 13548, 1026, 3284, 1049, 2658, 5, 6986, 17607, 1802, 4892, 2061, 17935, 1134, 1087, 1208, 1026, 2658, 5, 18938, 18372, 5458, 2676, 19719, 3018, 1345, 31091, 1044, 2658, 3509, 19914, 1772, 1667, 20465, 8, 1072, 3756, 1009, 5655, 21882, 8, 1686, 1150, 70, 15, 2301, 1006, 2562, 1741, 15064, 8586, 4964, 4702, 10569, 2602, 1026, 3284, 1049, 2658, 2301, 1026, 3202, 1741, 4892, 8586, 1049, 3820, 1009, 2658, 5790, 6781, 4435, 1508, 1026, 2658, 2301, 1026, 3202, 1741, 18372, 8586, 1049, 3820, 1009, 2658, 19425, 1048, 1096, 1094, 3593, 4884, 1927, 11853, 1026, 2658, 1511, 3501, 1930, 1068, 21883, 3480, 1049, 19546, 2267, 16566, 1299, 1298, 2071, 1094, 11597, 1741, 1491, 70, 1068, 11853, 8863, 1026, 2658, 1511, 10551, 4262, 22597, 14892, 11083, 1044, 2658, 3509, 19914, 1772, 1667, 20465, 8, 1072, 3756, 1009, 5655, 28023, 26172, 2441, 1774, 1772, 1667, 20465, 1406, 1150, 88, 4985, 1159, 2658, 1898, 675, 675, 675, 3093, 2332, 13548, 1026, 3284, 1049, 2658, 5, 675, 675, 675, 12695, 17607, 1802, 4892, 2061, 19026, 13179, 4435, 1945, 8863, 1026, 2658, 1511, 1026, 15490, 1741, 1491, 70, 1234, 1942, 2270, 675, 2, 1257, 14943, 1327, 2088, 3171, 1054, 4957, 1048, 1693, 18521, 1058, 1299, 13101, 1009, 11853, 1044, 2658, 1846, 1009, 16868, 3527, 1072, 10050, 37, 12107, 1022, 5294, 1009, 11853, 1044, 2658, 1846, 1009, 16868, 3527, 1072, 10050, 1298, 4480, 1006, 7109, 3171, 1159, 5302, 23295, 2147, 1009, 3480, 32, 1132, 4688, 16966, 1376, 14425, 3480, 1049, 2380, 2170, 1058, 1299, 13101, 1009, 4435, 150, 8754, 1229, 1857, 10705, 1027, 3986, 1229, 3472, 1435, 21374, 1592, 1048, 1160, 10080, 1847, 6163, 6143, 3258, 8014, 1009, 29582, 1058, 1299, 13101, 1009, 11853, 1044, 2658, 1846, 1009, 2635, 1930, 1132, 1858, 1048, 1299, 5444, 1693, 1160, 1178, 8112, 1010, 1072, 22284, 7439, 1233, 12207, 1009, 1858, 6291, 20190, 2222, 1009, 13049, 32, 1058, 1299, 13101, 1009, 11853, 1044, 22284, 1264, 1620, 4291, 1178, 7353, 1069, 1356, 1235, 5935, 1073, 4976, 3529, 25389, 1048, 1734, 5283, 1026, 3447, 4830, 2959, 1298, 7907, 3171, 1009, 3389, 13647, 4807, 1058, 1026, 2658, 1234, 24139, 1118, 2539, 5283, 6918, 20190, 2222, 1009, 4981, 32, 1058, 1299, 6631, 1044, 2658, 16137, 1309, 19298, 1009, 4435, 150, 18048, 1264, 4291, 22003, 1094, 5020, 12308, 1009, 23457, 7439, 1006, 3171, 1009, 4981, 1005, 7109, 19288, 1728, 1, 13688, 1044, 10176, 1054, 1048, 4321, 12346, 7932, 1094, 5095, 10692, 1140, 1054, 16601, 14827, 1026, 3239, 1009, 18538, 18199, 30848, 12346, 2793, 1072, 2191, 1049, 14584, 1009, 3178, 3951, 10545, 1069, 1054, 16601, 1072, 14241, 1456, 4101, 9824, 11890, 1006, 5309, 1054, 3902, 1009, 7880, 1060, 5095, 10692, 1140, 1048, 1264, 2257, 11456, 3360, 6301, 11307, 1009, 16433, 1005, 15660, 1312, 17061, 1975, 1026, 14812, 1309, 1026, 8187, 1009, 12255, 5490, 1136, 8743, 22237, 1054, 1224, 6280, 1658, 1752, 5628, 1048, 1929, 1411, 1264, 1160, 7704, 3417, 1009, 14632, 1124, 19677, 1312, 5486, 2765, 1005, 4972, 1240, 1139, 12172, 1048, 19375, 2241, 1026, 14584, 1009, 3178, 3951, 3172, 3037, 1350, 5025, 1322, 1124, 6576, 2905, 19254, 28846, 2309, 3948, 1009, 16682, 1060, 4263, 1054, 16601, 1309, 2598, 9781, 1079, 1048, 4219, 2072, 25986, 5991, 12783, 1356, 1449, 1187, 14805, 1229, 1264, 17975, 1792, 1044, 3820 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2072, 27552, 2598, 2155, 1395, 22256, 1024, 6953, 16839, 1503, 1015, 1477, 1989, 2058, 1054, 1044, 2269, 15062, 1383, 3062, 1114, 12498, 1096, 1044, 7939, 7479, 2555, 18562, 9424, 22485, 3933, 8229, 1118, 25026, 7034, 1383, 6185, 17192, 8920, 2519, 18, 1096, 2072, 1638, 2662, 15707, 28342, 1052, 4753, 2598, 2177, 1026, 1592, 1576, 27325, 1009, 22485, 3933, 1026, 1720, 1049, 23007, 1467, 1641, 1325, 16631, 1043, 1132, 11307, 1060, 4556, 1383, 2289, 1026, 1048, 4800, 1663, 1096, 10066, 1006, 2033, 1377, 1, 2760, 4714, 2301, 1026, 1180, 8563, 1134, 22973, 12969, 1068, 10697, 2539, 8578, 19357, 1054, 1044, 2788, 1005, 3074, 3027, 3171, 1043, 1006, 8227, 1160, 19257, 5560, 1072, 1831, 7705, 1072, 9292, 2873, 5953, 44, 12063, 71, 1680, 1054, 1734, 5016, 11141, 2240, 7216, 1325, 1026, 16138, 32, 2674, 1697, 1283, 1522, 5935, 8173, 1246, 14035, 30283, 8, 1283, 1951, 675, 675, 675, 2052, 26828, 15, 2124, 26919, 13950, 2061, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 2441, 11945, 60, 2262, 1078, 2970, 8180, 1134, 22973, 12969, 14746, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 21975, 8870, 3094, 8427, 1558, 2351, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 13495, 3639, 73, 3691, 8427, 29072, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 21937, 6893, 8427, 1538, 30, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 1029, 1914, 8427, 1538, 28, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 16767, 7040, 1021, 8427, 1538, 1045, 14003, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1538, 16767, 7040, 2703, 8427, 1538, 1045, 14003, 8325, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 675, 675, 675, 675, 10804, 675, 675, 675, 1283, 18647, 1283, 7944, 2771, 7216, 1325, 1026, 11000, 32, 2674, 1697, 1283, 1522, 1746, 1283, 5889, 1522, 14132, 2388, 1246, 6373, 10090, 8, 1283, 1840, 1283, 1522, 1006, 2388, 1246, 13907, 2262, 1078, 2970, 8, 4881, 1246, 14973, 92, 2262, 10828, 8827, 2721, 8, 1283, 1840, 7310, 56, 1142, 1346, 1083, 2403, 1283, 17170, 1283, 1840, 1283, 16686, 1283, 5889, 1522, 14132, 2388, 1246, 6373, 2341, 8, 1283, 1840, 10070, 32, 9216, 1283, 16686, 1283, 5889, 1522, 14132, 2388, 1246, 13907, 12009, 8, 7815, 1246, 8055, 14899, 32, 3819, 8, 1283, 1951, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 13907, 2262, 10828, 8827, 2721, 8, 1283, 7641, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 5935, 8173, 1246, 1538, 5509, 30283, 13, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2254, 19357, 3386, 89, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 11490, 32, 1538, 11612, 1042, 2657, 4013, 4124, 30231, 2459, 1491, 6487, 9907, 3814, 21, 12784, 9211, 4104, 2427, 1262, 1081, 2541, 3752, 1220, 20165, 5957, 92, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 5974, 32, 1538, 2721, 8325, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 28799, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2254, 1068, 9907, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2020, 83, 2836, 32, 1538, 1568, 13482, 1295, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1106, 10550, 4562, 2713, 32, 1538, 9, 10345, 10345, 10345, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1200, 1177, 32, 25280, 5183, 7373, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 3292, 9907, 3290, 7283, 4991, 32, 15301, 7393, 8325, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 28799, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 22861, 76, 17849, 20, 1353, 27374, 93, 76, 2996, 11612, 1042, 2657, 4013, 4124, 30231, 12637, 69, 5957, 2690, 21, 6749, 2652, 27919, 76, 2820, 1538, 6749, 1014, 2721, 2820, 1538, 22257, 2820, 1538, 23243, 2820, 1538, 3537, 18243, 2820, 1538, 1774, 2181, 8849, 2144, 3677, 93, 76, 2820, 19357, 3386, 1678, 1068, 9907, 4035, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 18647, 1283, 7641, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1863, 1564, 1246, 1150, 6749, 1014, 2721, 8, 1283, 1840, 1283, 8115, 1283, 1951, 675, 675, 675, 1283, 8115, 1283, 5889, 16686, 1283, 5889, 28326, 1283, 7944, 2771, 24015, 1089, 8723, 1094, 8227, 1009, 8759, 1009, 3596, 13418, 1140, 1009, 3596, 1005, 8759, 1072, 1831, 7705, 2338, 2277, 7705, 1096, 30252, 2240, 2654, 23925, 1461, 2073, 8377, 20, 2240, 11161, 7, 5506, 10887, 2350, 3469, 1048, 1299, 1298, 3689, 5807, 1026, 2863, 1043, 1006, 8227, 1134, 22973, 7132, 1160, 19257, 5560, 1072, 1831, 7705, 1072, 29163, 5302, 13189, 1006, 4169, 7732, 3766, 1175, 2435, 1665, 8, 1726, 1569, 9007, 1009, 1134, 22973, 7132, 5983, 1697, 17585, 1013, 4821, 8427, 7448, 2264, 15351, 4283, 1175, 2435, 7361, 150, 1026, 3284, 1060, 8227, 1134, 22973, 12969, 1996, 1009, 1178, 6888, 1005, 1298, 3371, 1043, 1026, 2863, 6143, 8017, 1026, 5606, 1009, 3806, 3943, 84, 1491, 29737, 8, 1068, 5348, 17699, 6355, 1006, 8227, 1134, 22973, 7132, 1986, 1006, 6222, 5983, 1697, 1538, 1081, 1491, 29737, 8427, 9025, 2061, 1824, 675, 675, 675, 2052, 2124, 44, 22973, 25468, 5953, 3985, 4797, 3625, 99, 2264, 15351, 5348, 28573, 1945, 1006, 8227, 1134, 22973, 12969, 1986, 1006, 3986, 5484, 1026, 1048, 1298, 3371, 1043, 1026, 2863, 6291, 3275, 10125, 1235, 2326, 1009, 4449, 19357, 1054, 1094, 2562, 1005, 1770, 75, 2122, 2562, 1072, 5606, 1009, 3806, 2951, 4828, 1248, 3094, 3636, 2294, 1697, 13495, 76, 1363, 57, 3094, 8427, 9025, 2061, 1824, 675, 675, 675, 28092, 60, 12009, 3625, 99, 2264, 15351, 10513, 1945, 1026, 18355, 1049, 4449, 19357, 1495, 1846, 1048, 1006, 8227, 1134, 22973, 7132, 5037, 5560, 5227, 2166, 1026, 1048, 1298, 3371, 1043, 1026, 2863, 10576, 1325, 1044, 2991, 1009, 1159, 1026, 2326, 10215, 1298, 1178, 5983, 1697, 1283, 1522, 5935, 8173, 1246, 14035, 30283, 8, 1283, 1951, 10, 26828, 15, 2124, 26919, 13950, 2061, 1824, 675, 675, 675, 2052, 2441, 11945, 60, 2262, 1078, 2970, 8180, 1134, 22973, 12969, 14746, 675, 675, 675, 675, 675, 675, 675, 21975, 8870, 3094, 8427, 1558, 2351, 5, 675, 675, 675, 675, 675, 675, 675, 13495, 3639, 73, 3691, 8427, 29072, 675, 675, 675, 675, 675, 675, 675, 1538, 21937, 6893, 8427, 1538, 30, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 1029, 1914, 8427, 1538, 28, 1404, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 16767, 7040, 1021, 8427, 1538, 1045, 14003, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 11052, 7040, 2703, 8427, 1538, 1045, 14003, 7373, 675, 675, 675, 675, 675, 675, 675, 1538, 21145, 1175, 2435, 1665, 8427, 29072, 675, 675, 675, 675, 675, 675, 675, 1538, 16739, 1491, 29737, 8427, 9025, 2061, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2052, 2124, 44, 22973, 25468, 5953, 3985, 4797, 3625, 675, 675, 675, 675, 675, 675, 675, 10925, 675, 675, 675, 675, 675, 675, 675, 13495, 4828, 1248, 3094, 8427, 9025, 2061, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 28092, 60, 12009, 3625, 675, 675, 675, 675, 675, 675, 675, 2886, 675, 675, 675, 10804, 31459, 16965, 28092, 92, 12009, 2061, 1824, 675, 675, 675, 2254, 19357, 3386, 89, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 11490, 32, 1538, 11612, 1042, 2657, 4013, 4124, 30231, 2459, 1491, 6487, 9907, 3814, 21, 12784, 9211, 4104, 2427, 1262, 1081, 2541, 3752, 1220, 20165, 5957, 92, 7373, 675, 675, 675, 675, 675, 675, 675, 5974, 32, 1538, 2721, 8325, 675, 675, 675, 28799, 675, 675, 675, 2254, 1068, 9907, 1246, 1824, 675, 675, 675, 675, 675, 675, 675, 2020, 83, 2836, 32, 1538, 1568, 13482, 1295, 7373, 675, 675, 675, 675, 675, 675, 675, 1106, 10550, 4562, 2713, 32, 1538, 9, 10345, 10345, 10345, 7373, 675, 675, 675, 675, 675, 675, 675, 1200, 1177, 32, 25280, 5183, 7373, 675, 675, 675, 675, 675, 675, 675, 3292, 9907, 3290, 7283, 4991, 32, 15301, 7393, 8325, 675, 675, 675, 28799, 675, 675, 675, 22861, 76, 17849, 20, 1353, 27374, 93, 76, 2996, 11612, 1042, 2657, 4013, 4124, 30231, 12637, 69, 5957, 2690, 21, 6749, 2652, 27919, 76, 2820, 1538, 6749, 1014, 2721, 2820, 1538, 22257, 2820, 1538, 23243, 2820, 1538, 3537, 18243, 2820, 1538, 1774, 2181, 8849, 2144, 3677, 93, 76, 2820, 19357, 3386, 1678, 1068, 9907, 1621, 3203, 12, 18647, 1283, 1840, 2264, 2134, 6448, 1091, 11074, 1094, 1206, 1094, 9546, 5856, 6286, 1005, 9637, 1058, 1687, 15859, 1026, 2863, 1072, 9292, 2873, 5953, 40, 5385, 7061, 7, 1, 11490, 6888, 1054, 10050, 8652, 6631, 1044, 2658, 1072, 1073, 4976, 3529, 1299, 1298, 2071, 1006, 2562, 1741, 15064, 8586, 1741, 6354, 1325, 1044, 15072, 22597, 14892, 11083, 1044, 2658, 3509, 19914, 1772, 1667, 20465, 8, 1072, 3756, 1009, 5655, 5, 22611, 1246, 6888, 2441, 1774, 1772, 1667, 20465, 1406, 1150, 88, 8, 17935, 2332, 13548, 1026, 3284, 1049, 2658, 5, 6986, 17607, 1802, 4892, 2061, 17935, 1134, 1087, 1208, 1026, 2658, 5, 18938, 18372, 5458, 2676, 19719, 3018, 1345, 31091, 1044, 2658, 3509, 19914, 1772, 1667, 20465, 8, 1072, 3756, 1009, 5655, 21882, 8, 1686, 1150, 70, 15, 2301, 1006, 2562, 1741, 15064, 8586, 4964, 4702, 10569, 2602, 1026, 3284, 1049, 2658, 2301, 1026, 3202, 1741, 4892, 8586, 1049, 3820, 1009, 2658, 5790, 6781, 4435, 1508, 1026, 2658, 2301, 1026, 3202, 1741, 18372, 8586, 1049, 3820, 1009, 2658, 19425, 1048, 1096, 1094, 3593, 4884, 1927, 11853, 1026, 2658, 1511, 3501, 1930, 1068, 21883, 3480, 1049, 19546, 2267, 16566, 1299, 1298, 2071, 1094, 11597, 1741, 1491, 70, 1068, 11853, 8863, 1026, 2658, 1511, 10551, 4262, 22597, 14892, 11083, 1044, 2658, 3509, 19914, 1772, 1667, 20465, 8, 1072, 3756, 1009, 5655, 28023, 26172, 2441, 1774, 1772, 1667, 20465, 1406, 1150, 88, 4985, 1159, 2658, 1898, 675, 675, 675, 3093, 2332, 13548, 1026, 3284, 1049, 2658, 5, 675, 675, 675, 12695, 17607, 1802, 4892, 2061, 19026, 13179, 4435, 1945, 8863, 1026, 2658, 1511, 1026, 15490, 1741, 1491, 70, 1234, 1942, 2270, 675, 2, 1257, 14943, 1327, 2088, 3171, 1054, 4957, 1048, 1693, 18521, 1058, 1299, 13101, 1009, 11853, 1044, 2658, 1846, 1009, 16868, 3527, 1072, 10050, 37, 12107, 1022, 5294, 1009, 11853, 1044, 2658, 1846, 1009, 16868, 3527, 1072, 10050, 1298, 4480, 1006, 7109, 3171, 1159, 5302, 23295, 2147, 1009, 3480, 32, 1132, 4688, 16966, 1376, 14425, 3480, 1049, 2380, 2170, 1058, 1299, 13101, 1009, 4435, 150, 8754, 1229, 1857, 10705, 1027, 3986, 1229, 3472, 1435, 21374, 1592, 1048, 1160, 10080, 1847, 6163, 6143, 3258, 8014, 1009, 29582, 1058, 1299, 13101, 1009, 11853, 1044, 2658, 1846, 1009, 2635, 1930, 1132, 1858, 1048, 1299, 5444, 1693, 1160, 1178, 8112, 1010, 1072, 22284, 7439, 1233, 12207, 1009, 1858, 6291, 20190, 2222, 1009, 13049, 32, 1058, 1299, 13101, 1009, 11853, 1044, 22284, 1264, 1620, 4291, 1178, 7353, 1069, 1356, 1235, 5935, 1073, 4976, 3529, 25389, 1048, 1734, 5283, 1026, 3447, 4830, 2959, 1298, 7907, 3171, 1009, 3389, 13647, 4807, 1058, 1026, 2658, 1234, 24139, 1118, 2539, 5283, 6918, 20190, 2222, 1009, 4981, 32, 1058, 1299, 6631, 1044, 2658, 16137, 1309, 19298, 1009, 4435, 150, 18048, 1264, 4291, 22003, 1094, 5020, 12308, 1009, 23457, 7439, 1006, 3171, 1009, 4981, 1005, 7109, 19288, 1728, 1, 13688, 1044, 10176, 1054, 1048, 4321, 12346, 7932, 1094, 5095, 10692, 1140, 1054, 16601, 14827, 1026, 3239, 1009, 18538, 18199, 30848, 12346, 2793, 1072, 2191, 1049, 14584, 1009, 3178, 3951, 10545, 1069, 1054, 16601, 1072, 14241, 1456, 4101, 9824, 11890, 1006, 5309, 1054, 3902, 1009, 7880, 1060, 5095, 10692, 1140, 1048, 1264, 2257, 11456, 3360, 6301, 11307, 1009, 16433, 1005, 15660, 1312, 17061, 1975, 1026, 14812, 1309, 1026, 8187, 1009, 12255, 5490, 1136, 8743, 22237, 1054, 1224, 6280, 1658, 1752, 5628, 1048, 1929, 1411, 1264, 1160, 7704, 3417, 1009, 14632, 1124, 19677, 1312, 5486, 2765, 1005, 4972, 1240, 1139, 12172, 1048, 19375, 2241, 1026, 14584, 1009, 3178, 3951, 3172, 3037, 1350, 5025, 1322, 1124, 6576, 2905, 19254, 28846, 2309, 3948, 1009, 16682, 1060, 4263, 1054, 16601, 1309, 2598, 9781, 1079, 1048, 4219, 2072, 25986, 5991, 12783, 1356, 1449, 1187, 14805, 1229, 1264, 17975, 1792, 1044, 3820 ]

[ 1233, 2759, 1094, 5223, 1009, 7051, 1005, 4188, 1068, 1026, 3867, 8566, 20, 3125, 1766, 21823, 4814, 1166, 1327, 1184, 19572, 1175, 1094, 8263, 3707, 1072, 7534, 1009, 10026, 1009, 24601, 1096, 1048, 1124, 3540, 5176, 6397, 1006, 1783, 1054, 1044, 6902, 24139, 1327, 1184, 19572, 1049, 1048, 1132, 21823, 1403, 1172, 1097, 1206, 3122, 3983, 4116, 2884, 1754, 2306, 2155, 4524, 1072, 1048, 1054, 1044, 8566, 1005, 5501, 1235, 1720, 1213, 2790, 1009, 1094, 3597, 1298, 3371, 1006, 3835, 1024, 1094, 5223, 1009, 6443, 1118, 1569, 12055, 1068, 1026, 15163, 3125, 17287, 1337, 1049, 3189, 1175, 12071, 1497, 13018, 1044, 10585, 1005, 1715, 1551, 2303, 1043, 1026, 4025, 12760, 5342, 1006, 4169, 10758, 1068, 6679, 1233, 2511, 14346, 22502, 12155, 1633, 3362, 5908, 4548, 37, 18792, 32, 1175, 1487, 1175, 1160, 1837, 4734, 5434, 1175, 1799, 1175, 29007, 1257, 21567, 2083, 3885, 1837, 2266, 14307, 1072, 4025, 6440, 1068, 7556, 1026, 2285, 22335, 1009, 1867, 2223, 1, 1138, 1048, 1096, 1094, 3069, 1184, 9636, 5816, 32, 1257, 1257, 5548, 9813, 1131, 7520, 1078, 1438, 4062, 2140, 1012, 1028, 81, 26517, 1973, 9707, 1048, 1821, 1234, 14639, 1160, 1298, 5225, 27544, 1009, 5593, 1086, 4852, 16207, 9225, 1077, 1048, 1569, 9109, 4845, 1027, 7120, 1058, 12835, 88, 1114, 3861, 10241, 21438, 1140, 1118, 10016, 20, 1257, 1257, 3064, 4672, 2083, 2366, 5548, 1072, 26973, 3509, 16758, 1012, 1144, 81, 26517, 1973, 1048, 1124, 5298, 1060, 13920, 1160, 1693, 5225, 27544, 1009, 9462, 1094, 1641, 3806, 7864, 1377, 2200, 1318, 1973, 1048, 1456, 9935, 4343, 1173, 4450, 1009, 2922, 1058, 11452, 21346, 1166, 1114, 8363, 1, 1150, 55, 32, 22502, 12155, 1150, 7037, 1596, 1132, 4181, 1006, 2071, 8760, 1024, 1072, 8190, 1006, 18350, 6431, 10628, 2335, 32, 6234, 1367, 1396, 16948, 1262, 18, 1195, 1044, 8760, 1024, 1048, 22956, 1178, 1094, 9967, 7799, 1463, 16359, 21859, 1016, 1322, 1006, 17180, 1006, 2323, 3019, 3311, 1054, 5615, 20, 24352, 74, 1253, 2257, 21423, 1026, 6502, 1009, 8760, 1024, 20500, 1005, 17984, 19962, 1026, 1235, 28315, 15926, 13990, 1058, 22428, 1044, 17027, 2494, 3696, 1009, 3295, 21, 3459, 1009, 3353, 1009, 24053, 1026, 3092, 1009, 10354, 12537, 1943, 18238, 6103, 6266, 8865, 1349, 1026, 9995, 3477, 6655, 11120, 19134, 1020, 6424, 72, 16556, 15, 1005, 1026, 1015, 24919, 1009, 10354, 2960, 1453, 74, 2152, 95, 3309, 1071, 6596, 2405, 1009, 8760, 1024, 1049, 7398, 6881, 10409, 15, 1060, 15071, 1009, 6881, 11502, 1009, 15982, 1348, 5749, 1026, 1831, 9995, 1005, 18350, 1006, 30777, 1024, 1005, 16755, 1094, 14119, 7167, 2327, 2301, 8760, 1024, 1006, 14089, 1068, 2025, 79, 9386, 1068, 1094, 1957, 10042, 2583, 5222, 1672, 1511, 1235, 23599, 1009, 9752, 1060, 20531, 13064, 1079, 1044, 5311, 2128, 1009, 12269, 1117, 5953, 1482, 1204, 1009, 3113, 1009, 24053, 1026, 8030, 10228, 2204, 16901, 1060, 1123, 11722, 3753, 1062, 8824, 15395, 13064, 1079, 1044, 28377, 1243, 6156, 20799, 2301, 8760, 1024, 6536, 1100, 1992, 1159, 24352, 74, 1253, 2284, 12573, 2100, 21567, 32, 1257, 1063, 12943, 3133, 1944, 18350, 1006, 2071, 1043, 3189, 1026, 8760, 1024, 20500, 1072, 8190, 1068, 30777, 1024, 1005, 16755, 1094, 14119, 7167, 20692, 1026, 3092, 1009, 10354, 12537, 1943, 18238, 6103, 6266, 8865, 1349, 1026, 9995, 3477, 6655, 11120, 19134, 1020, 6424, 72, 16556, 15, 1005, 1026, 1015, 24919, 1009, 10354, 2960, 1453, 74, 2152, 95, 3309, 1071, 6596, 2405, 1009, 8760, 1024, 1049, 7398, 6881, 10409, 15, 1060, 15071, 1009, 6881, 11502, 1009, 15982, 8341, 3204, 3366, 6191, 5687, 1114, 3696, 1009, 3295, 21, 3459, 1009, 3353, 1009, 24053, 1890, 1124, 16359, 21859, 1016, 1322, 1006, 17180, 20, 5126, 11863, 19952, 1094, 14119, 5311, 2128, 2979, 1009, 12269, 17589, 2301, 1235, 10228, 2204, 16901, 1063, 47, 1068, 1094, 1957, 10042, 2583, 5222, 1672, 30086, 1006, 14923, 1060, 4639, 1009, 8760, 1024, 1159, 5029, 6336, 1118, 24352, 74, 8905, 1, 5722, 1219, 1343, 1009, 2922, 14401, 24377, 12666, 1434, 1009, 11279, 9810, 1195, 5421, 2408, 9560, 1068, 1026, 3399, 21964, 3297, 9688, 1916, 1766, 9688, 89, 10446, 2644, 1009, 1094, 5342, 1009, 2750, 8404, 1054, 4483, 1005, 1026, 5634, 1014, 5106, 1009, 5994, 16619, 1180, 58, 1138, 1072, 9216, 33, 57, 4027, 1070, 1056, 1068, 24377, 12666, 1434, 1005, 1094, 14279, 5342, 1009, 1004, 12853, 20, 1257, 4223, 32, 5344, 1096, 1026, 1853, 7566, 3019, 2859, 37, 1257, 19821, 1006, 1224, 3484, 22246, 1257, 3125, 4819, 33, 1257, 3125, 19924, 33, 1257, 3125, 17775, 33, 1257, 3125, 11137, 19784, 3418, 33, 1257, 2654, 5956, 1048, 1006, 3484, 1096, 3193, 89, 1520, 2223, 1, 8454, 2088, 20415, 1068, 1026, 2511, 2859, 32, 1257, 1257, 1106, 3965, 15463, 1163, 10397, 4932, 4431, 1565, 1073, 30856, 2870, 46, 5237, 32, 4932, 4431, 1565, 1782, 22947, 7988, 18, 3727, 1009, 3353, 1009, 14601, 1152, 20, 4738, 4159, 32, 1063, 2323, 22246, 14098, 1839, 7988, 18, 3727, 1009, 3353, 1009, 14601, 29328, 12741, 1233, 2900, 1009, 16803, 17185, 5833, 156, 1412, 1054, 1094, 7621, 1620, 1184, 11444, 1175, 1094, 28341, 1009, 7331, 1048, 1195, 6407, 1072, 3090, 1060, 11485, 10839, 1092, 3424, 3316, 24161, 1112, 1463, 12965, 1049, 17459, 1692, 1169, 1032, 1747, 1044, 11536, 1009, 2020, 1165, 2889, 5936, 1048, 1225, 1184, 1009, 1360, 2864, 12502, 1026, 1831, 2991, 7135, 1091, 1060, 28341, 19, 1665, 91, 1909, 27250, 1063, 7621, 1195, 8901, 1751, 1009, 1094, 3444, 1048, 3080, 1393, 1132, 26890, 1049, 13455, 1043, 1502, 2903, 1014, 2401, 1054, 1128, 4938, 1018, 2262, 1005, 11631, 11168, 3309, 1072, 1852, 1049, 3009, 15647, 20, 2430, 20451, 32, 3316, 28341, 1009, 7331, 1048, 25924, 1589, 2020, 1165, 2889, 89, 1009, 1502, 162, 4239, 1068, 1026, 4489, 17459, 1692, 1195, 1169, 14700, 22507, 29328, 2404, 32, 13803, 27144, 1048, 1006, 24161, 1112, 1501, 21332, 16803, 5128, 1229, 1309, 1054, 1472, 5816, 5833, 156, 1412, 1114, 28341, 20, 1063, 28341, 1195, 8283, 1118, 11501, 12741, 8756, 1157, 1072, 2386, 1049, 27540, 1243, 1009, 6008, 1146, 1100, 1048, 1325, 1847, 10789, 2876, 20, 14013, 1026, 2386, 1325, 4236, 1049, 3838, 15678, 1009, 15841, 1171, 1146, 9764, 1054, 11422, 20274, 18, 1124, 24161, 17247, 8461, 1868, 28619, 1005, 15778, 10240, 3586, 10069, 2808, 16803, 1049, 3041, 4078, 10636, 1482, 1472, 2668, 1857, 5833, 156, 1412, 1072, 11536, 1009, 2971, 4722, 1009, 31075, 1009, 19752, 1044, 1187, 4181, 30356, 1068, 1006, 5660, 1009, 15669, 1048, 17283, 1026, 13455, 20, 1138, 2020, 1165, 2889, 5936, 1096, 7662, 1118, 1094, 1150, 1806, 2751, 8, 24882, 1043, 1791, 13798, 1009, 31075, 15627, 1054, 6544, 1044, 1049, 2143, 1068, 15999, 1006, 1224, 7033, 1367, 2485, 1043, 1044, 4062, 1370, 1060, 2618, 2751, 1169, 8140, 1054, 1044, 25218, 20, 5841, 13744, 4834, 2281, 6598, 1236, 1043, 3111, 1571, 1132, 31075, 1009, 7331, 1187, 3441, 1121, 1009, 19317, 3586, 15491, 1166, 1068, 5225, 79, 17321, 1009, 1058, 2435, 1005, 26944, 8622, 1916, 1776, 2191, 1049, 4062, 1370, 1325, 1094, 20233, 1009, 8344, 1571, 1026, 5516, 11331, 1157, 1026, 3441, 1027, 4834, 1768, 2270, 1073, 1129, 1239, 32, 2034, 3441, 1121, 20952, 1026, 13455, 1006, 6537, 1371, 1005, 1596, 1132, 5844, 3393, 1074, 1060, 3444, 23913, 1060, 17180, 20, 4429, 8304, 32, 2034, 6102, 16275, 1009, 28721, 4308, 17646, 1847, 8728, 1068, 20513, 1006, 17503, 1213, 5211, 1049, 7118, 2858, 4526, 1370, 1060, 5530, 1641, 1946, 1239, 1009, 18267, 6103, 1072, 8688, 1009, 19539, 3847, 20, 2951, 4526, 156, 1461, 1009, 7331, 7621, 1357, 24161, 1112, 1096, 1026, 28550, 8557, 1060, 11845, 28341, 1009, 28721, 4308, 1406, 1973, 1868, 1812, 9513, 1424, 18756, 1005, 1429, 88, 3342, 17217, 31148, 1118, 20513, 1006, 1050, 1241, 2212, 1124, 6102, 16275, 6154, 1058, 9751, 1006, 1871, 1184, 8403, 1009, 5407, 1048, 1026, 1784, 1566, 3708, 1005, 4456, 5233, 1006, 4173, 1049, 1784, 3944, 1667, 1482, 3399, 10641, 1108, 1005, 1463, 3905, 20032, 5157, 1124, 6102, 16275, 29544, 1048, 1026, 19317, 4219, 27968, 1357, 17180, 18, 7439, 1213, 6518, 4758, 1060, 12873, 1138, 8796, 6483, 1868, 28619, 13236, 32, 2951, 5660, 1049, 19317, 1195, 2072, 1009, 15262, 4493, 1068, 1026, 18088, 7277, 1005, 1837, 2072, 6734, 7880, 1009, 1048, 4426, 2364, 2100, 1138, 1251, 5709, 1187, 11501, 12741, 1096, 6347, 13994, 1680, 6508, 1069, 1175, 1026, 8796, 6483, 10240, 8583, 4032, 7173, 1048, 5404, 1009, 1178, 1198, 2174, 2139, 1005, 14023, 11705, 2100, 1063, 7621, 9923, 5625, 1048, 8830, 2829, 12411, 1657, 1009, 13381, 1005, 1132, 6950, 15582, 1009, 24455, 1159, 3753, 19684, 74, 8382, 1048, 25025, 4236, 1049, 2386, 1009, 24161, 3803, 8605, 32, 1063, 24161, 1112, 1072, 5485, 2386, 1049, 27540, 1243, 1009, 6008, 6369, 3904, 1159, 1264, 1096, 10789, 2876, 1068, 1006, 2360, 3649, 20, 3682, 1512, 11922, 1766, 31075, 1009, 7331, 1160, 1168, 1085, 4411, 1040, 2246, 1596, 5225, 1402, 1009, 5409, 1131, 9698, 1024, 1288, 1026, 30316, 3598, 2315, 13381, 30305, 1026, 1048, 1195, 5413, 1357, 24161, 2094, 1309, 2237, 1096, 1006, 3616, 2733, 1406, 1973, 1026, 15591, 2386, 11584, 4365, 84, 72, 4027, 20, 1538, 132, 19993, 1077, 1178, 4310, 1009, 1419, 3592, 5625, 1054, 1472, 1009, 1657, 6530, 1068, 1857, 1054, 13381, 14211, 1005, 6950, 1227, 1554, 22798, 1295, 1006, 2618, 1096, 1006, 10537, 1785, 23913, 17879, 1096, 19993, 1037, 1278, 2512, 1159, 1026, 1831, 2991, 1049, 1784, 1005, 1616, 1096, 1009, 4493, 24962, 1138, 9885, 1009, 2020, 1165, 2889, 5936, 1325, 1114, 10325, 19872, 1060, 11204, 1049, 1852, 1049, 3009, 15647, 2100, 1138, 8843, 4365, 84, 72, 4027, 18, 1048, 5444, 1044, 3066, 1322, 3441, 5247, 4979, 1048, 1006, 7621, 1516, 1184, 2512, 1049, 1048, 2073, 1251, 5709, 15678, 3012, 1178, 20, 26677, 1187, 6660, 1049, 13455, 1068, 1006, 2042, 5178, 1096, 1026, 3090, 1271, 6102, 16275, 1406, 1973, 11249, 3943, 19317, 1005, 1132, 10429, 9592, 1527, 1035, 1327, 1026, 27136, 1009, 1128, 4938, 1018, 2262, 1005, 1668, 3441, 1027, 9251, 1751, 2668, 2246, 1305, 1124, 14387, 1009, 4526, 1231, 1187, 6824, 1009, 19317, 1160, 12840, 1058, 8744, 2100, 1776, 1852, 1049, 3009, 26970, 11112, 1009, 2020, 1165, 2889, 89, 18948, 1009, 1502, 2903, 1014, 2401, 1068, 1011, 1102, 1072, 1128, 4938, 1324, 1571, 1026, 19317, 2909, 19732, 1054, 13534, 89, 1068, 5407, 1068, 8462, 1005, 1068, 1026, 30701, 1766, 16803, 24161, 1166, 18685, 1751, 1060, 4526, 156, 1461, 1009, 3968, 28209, 1048, 11032, 1054, 1502, 2903, 1014, 2401, 1054, 3968, 5112, 1633, 1730, 1005, 9550, 20197, 16993, 1114, 13859, 1009, 11422, 20274, 20, 1482, 8570, 2081, 1026, 2020, 1165, 2889, 5936, 27106, 1253, 17539, 18, 1068, 1026, 1428, 1124, 6316, 30423, 2897, 1009, 7413, 12315, 1219, 1081, 1596, 2197, 1794, 1273, 2969, 2923, 1233, 2618, 3968, 5112, 20, 12315, 1219, 1081, 1005, 1235, 3419, 5542, 2197, 6422, 30423, 2897, 1054, 1569, 3425, 1054, 11111, 8705, 9533, 1054, 3399, 10641, 8382, 1068, 1026, 1860, 3298, 3968, 28209, 1048, 2257, 1422, 7360, 26156, 1006, 1101, 1054, 8759, 1175, 1616, 1058, 4312, 1006, 8759, 4308, 1068, 1124, 6102, 16275, 1054, 2693, 1006, 17180, 1005, 1807, 1751, 1049, 7118, 2858, 2020, 1165, 2889, 5936, 1516, 1094, 9418, 1009, 7331, 5483, 1068, 1026, 5407, 1009, 19317, 1072, 1852, 1049, 3009, 15647, 1005, 2738, 1049, 3009, 7745, 20, 5126, 1596, 1094, 4081, 5779, 2669, 1068, 1044, 2863, 3729, 1069, 1118, 2696, 1121, 1009, 19317, 1054, 11631, 11168, 3309, 1005, 19539, 3847, 1175, 1206, 4473, 1159, 3524, 6030, 19029, 1026, 19317, 1009, 1008, 1041, 19, 13521, 1068, 1026, 1118, 6302, 1063, 16566, 1184, 11098, 1126, 4169, 1195, 2328, 1009, 28290, 3577, 2756, 85, 1206, 24568, 1009, 1080, 2109, 20, 2858, 2020, 1165, 2889, 5936, 1516, 1094, 9418, 1009, 7331, 5483, 1068, 1026, 5407, 1009, 19317, 1072, 1852, 1049, 3009, 15647, 1005, 2738, 1049, 3009, 7745, 20, 13287, 1048, 12338, 1026, 2020, 1165, 2889, 5936, 10780, 1461, 18516, 2054, 1236, 1068, 1048, 1132, 2020, 1165, 2889, 89, 18873, 8667, 1024, 1288, 1235, 3266, 1861, 1667, 1138, 13333, 17206, 1114, 1751, 1009, 6529, 9090, 10264, 1026, 2019, 1047, 2097, 1026, 5516, 16651, 5626, 1054, 1044, 24930, 2048, 20, 4567, 1048, 1026, 3284, 1195, 1116, 27453, 13996, 1026, 5516, 11331, 1393, 1026, 24568, 12446, 1009, 2922, 1068, 6544, 1060, 2232, 2770, 20, 1766, 31075, 1114, 4526, 1231, 1009, 3399, 10641, 1108, 1596, 7742, 1009, 19752, 2848, 1206, 3251, 19406, 1009, 27058, 1005, 3251, 1206, 4234, 19406, 1009, 27109, 5304, 7630, 1026, 2490, 1009, 7331, 1159, 1094, 7202, 3143, 1021, 9158, 1160, 4219, 2017, 1175, 1026, 2792, 4208, 1078, 14764, 2257, 3778, 1068, 21367, 14387, 1009, 4125, 1118, 31821, 2314, 1175, 1516, 1026, 2490, 1060, 18856, 3454, 9005, 2166, 1026, 1048, 2521, 2693, 1006, 1755, 7999, 8913, 1048, 1026, 3441 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1233, 2759, 1094, 5223, 1009, 7051, 1005, 4188, 1068, 1026, 3867, 8566, 20, 3125, 1766, 21823, 4814, 1166, 1327, 1184, 19572, 1175, 1094, 8263, 3707, 1072, 7534, 1009, 10026, 1009, 24601, 1096, 1048, 1124, 3540, 5176, 6397, 1006, 1783, 1054, 1044, 6902, 24139, 1327, 1184, 19572, 1049, 1048, 1132, 21823, 1403, 1172, 1097, 1206, 3122, 3983, 4116, 2884, 1754, 2306, 2155, 4524, 1072, 1048, 1054, 1044, 8566, 1005, 5501, 1235, 1720, 1213, 2790, 1009, 1094, 3597, 1298, 3371, 1006, 3835, 1024, 1094, 5223, 1009, 6443, 1118, 1569, 12055, 1068, 1026, 15163, 3125, 17287, 1337, 1049, 3189, 1175, 12071, 1497, 13018, 1044, 10585, 1005, 1715, 1551, 2303, 1043, 1026, 4025, 12760, 5342, 1006, 4169, 10758, 1068, 6679, 1233, 2511, 14346, 22502, 12155, 1633, 3362, 5908, 4548, 37, 18792, 32, 1175, 1487, 1175, 1160, 1837, 4734, 5434, 1175, 1799, 1175, 29007, 1257, 21567, 2083, 3885, 1837, 2266, 14307, 1072, 4025, 6440, 1068, 7556, 1026, 2285, 22335, 1009, 1867, 2223, 1, 1138, 1048, 1096, 1094, 3069, 1184, 9636, 5816, 32, 1257, 1257, 5548, 9813, 1131, 7520, 1078, 1438, 4062, 2140, 1012, 1028, 81, 26517, 1973, 9707, 1048, 1821, 1234, 14639, 1160, 1298, 5225, 27544, 1009, 5593, 1086, 4852, 16207, 9225, 1077, 1048, 1569, 9109, 4845, 1027, 7120, 1058, 12835, 88, 1114, 3861, 10241, 21438, 1140, 1118, 10016, 20, 1257, 1257, 3064, 4672, 2083, 2366, 5548, 1072, 26973, 3509, 16758, 1012, 1144, 81, 26517, 1973, 1048, 1124, 5298, 1060, 13920, 1160, 1693, 5225, 27544, 1009, 9462, 1094, 1641, 3806, 7864, 1377, 2200, 1318, 1973, 1048, 1456, 9935, 4343, 1173, 4450, 1009, 2922, 1058, 11452, 21346, 1166, 1114, 8363, 1, 1150, 55, 32, 22502, 12155, 1150, 7037, 1596, 1132, 4181, 1006, 2071, 8760, 1024, 1072, 8190, 1006, 18350, 6431, 10628, 2335, 32, 6234, 1367, 1396, 16948, 1262, 18, 1195, 1044, 8760, 1024, 1048, 22956, 1178, 1094, 9967, 7799, 1463, 16359, 21859, 1016, 1322, 1006, 17180, 1006, 2323, 3019, 3311, 1054, 5615, 20, 24352, 74, 1253, 2257, 21423, 1026, 6502, 1009, 8760, 1024, 20500, 1005, 17984, 19962, 1026, 1235, 28315, 15926, 13990, 1058, 22428, 1044, 17027, 2494, 3696, 1009, 3295, 21, 3459, 1009, 3353, 1009, 24053, 1026, 3092, 1009, 10354, 12537, 1943, 18238, 6103, 6266, 8865, 1349, 1026, 9995, 3477, 6655, 11120, 19134, 1020, 6424, 72, 16556, 15, 1005, 1026, 1015, 24919, 1009, 10354, 2960, 1453, 74, 2152, 95, 3309, 1071, 6596, 2405, 1009, 8760, 1024, 1049, 7398, 6881, 10409, 15, 1060, 15071, 1009, 6881, 11502, 1009, 15982, 1348, 5749, 1026, 1831, 9995, 1005, 18350, 1006, 30777, 1024, 1005, 16755, 1094, 14119, 7167, 2327, 2301, 8760, 1024, 1006, 14089, 1068, 2025, 79, 9386, 1068, 1094, 1957, 10042, 2583, 5222, 1672, 1511, 1235, 23599, 1009, 9752, 1060, 20531, 13064, 1079, 1044, 5311, 2128, 1009, 12269, 1117, 5953, 1482, 1204, 1009, 3113, 1009, 24053, 1026, 8030, 10228, 2204, 16901, 1060, 1123, 11722, 3753, 1062, 8824, 15395, 13064, 1079, 1044, 28377, 1243, 6156, 20799, 2301, 8760, 1024, 6536, 1100, 1992, 1159, 24352, 74, 1253, 2284, 12573, 2100, 21567, 32, 1257, 1063, 12943, 3133, 1944, 18350, 1006, 2071, 1043, 3189, 1026, 8760, 1024, 20500, 1072, 8190, 1068, 30777, 1024, 1005, 16755, 1094, 14119, 7167, 20692, 1026, 3092, 1009, 10354, 12537, 1943, 18238, 6103, 6266, 8865, 1349, 1026, 9995, 3477, 6655, 11120, 19134, 1020, 6424, 72, 16556, 15, 1005, 1026, 1015, 24919, 1009, 10354, 2960, 1453, 74, 2152, 95, 3309, 1071, 6596, 2405, 1009, 8760, 1024, 1049, 7398, 6881, 10409, 15, 1060, 15071, 1009, 6881, 11502, 1009, 15982, 8341, 3204, 3366, 6191, 5687, 1114, 3696, 1009, 3295, 21, 3459, 1009, 3353, 1009, 24053, 1890, 1124, 16359, 21859, 1016, 1322, 1006, 17180, 20, 5126, 11863, 19952, 1094, 14119, 5311, 2128, 2979, 1009, 12269, 17589, 2301, 1235, 10228, 2204, 16901, 1063, 47, 1068, 1094, 1957, 10042, 2583, 5222, 1672, 30086, 1006, 14923, 1060, 4639, 1009, 8760, 1024, 1159, 5029, 6336, 1118, 24352, 74, 8905, 1, 5722, 1219, 1343, 1009, 2922, 14401, 24377, 12666, 1434, 1009, 11279, 9810, 1195, 5421, 2408, 9560, 1068, 1026, 3399, 21964, 3297, 9688, 1916, 1766, 9688, 89, 10446, 2644, 1009, 1094, 5342, 1009, 2750, 8404, 1054, 4483, 1005, 1026, 5634, 1014, 5106, 1009, 5994, 16619, 1180, 58, 1138, 1072, 9216, 33, 57, 4027, 1070, 1056, 1068, 24377, 12666, 1434, 1005, 1094, 14279, 5342, 1009, 1004, 12853, 20, 1257, 4223, 32, 5344, 1096, 1026, 1853, 7566, 3019, 2859, 37, 1257, 19821, 1006, 1224, 3484, 22246, 1257, 3125, 4819, 33, 1257, 3125, 19924, 33, 1257, 3125, 17775, 33, 1257, 3125, 11137, 19784, 3418, 33, 1257, 2654, 5956, 1048, 1006, 3484, 1096, 3193, 89, 1520, 2223, 1, 8454, 2088, 20415, 1068, 1026, 2511, 2859, 32, 1257, 1257, 1106, 3965, 15463, 1163, 10397, 4932, 4431, 1565, 1073, 30856, 2870, 46, 5237, 32, 4932, 4431, 1565, 1782, 22947, 7988, 18, 3727, 1009, 3353, 1009, 14601, 1152, 20, 4738, 4159, 32, 1063, 2323, 22246, 14098, 1839, 7988, 18, 3727, 1009, 3353, 1009, 14601, 29328, 12741, 1233, 2900, 1009, 16803, 17185, 5833, 156, 1412, 1054, 1094, 7621, 1620, 1184, 11444, 1175, 1094, 28341, 1009, 7331, 1048, 1195, 6407, 1072, 3090, 1060, 11485, 10839, 1092, 3424, 3316, 24161, 1112, 1463, 12965, 1049, 17459, 1692, 1169, 1032, 1747, 1044, 11536, 1009, 2020, 1165, 2889, 5936, 1048, 1225, 1184, 1009, 1360, 2864, 12502, 1026, 1831, 2991, 7135, 1091, 1060, 28341, 19, 1665, 91, 1909, 27250, 1063, 7621, 1195, 8901, 1751, 1009, 1094, 3444, 1048, 3080, 1393, 1132, 26890, 1049, 13455, 1043, 1502, 2903, 1014, 2401, 1054, 1128, 4938, 1018, 2262, 1005, 11631, 11168, 3309, 1072, 1852, 1049, 3009, 15647, 20, 2430, 20451, 32, 3316, 28341, 1009, 7331, 1048, 25924, 1589, 2020, 1165, 2889, 89, 1009, 1502, 162, 4239, 1068, 1026, 4489, 17459, 1692, 1195, 1169, 14700, 22507, 29328, 2404, 32, 13803, 27144, 1048, 1006, 24161, 1112, 1501, 21332, 16803, 5128, 1229, 1309, 1054, 1472, 5816, 5833, 156, 1412, 1114, 28341, 20, 1063, 28341, 1195, 8283, 1118, 11501, 12741, 8756, 1157, 1072, 2386, 1049, 27540, 1243, 1009, 6008, 1146, 1100, 1048, 1325, 1847, 10789, 2876, 20, 14013, 1026, 2386, 1325, 4236, 1049, 3838, 15678, 1009, 15841, 1171, 1146, 9764, 1054, 11422, 20274, 18, 1124, 24161, 17247, 8461, 1868, 28619, 1005, 15778, 10240, 3586, 10069, 2808, 16803, 1049, 3041, 4078, 10636, 1482, 1472, 2668, 1857, 5833, 156, 1412, 1072, 11536, 1009, 2971, 4722, 1009, 31075, 1009, 19752, 1044, 1187, 4181, 30356, 1068, 1006, 5660, 1009, 15669, 1048, 17283, 1026, 13455, 20, 1138, 2020, 1165, 2889, 5936, 1096, 7662, 1118, 1094, 1150, 1806, 2751, 8, 24882, 1043, 1791, 13798, 1009, 31075, 15627, 1054, 6544, 1044, 1049, 2143, 1068, 15999, 1006, 1224, 7033, 1367, 2485, 1043, 1044, 4062, 1370, 1060, 2618, 2751, 1169, 8140, 1054, 1044, 25218, 20, 5841, 13744, 4834, 2281, 6598, 1236, 1043, 3111, 1571, 1132, 31075, 1009, 7331, 1187, 3441, 1121, 1009, 19317, 3586, 15491, 1166, 1068, 5225, 79, 17321, 1009, 1058, 2435, 1005, 26944, 8622, 1916, 1776, 2191, 1049, 4062, 1370, 1325, 1094, 20233, 1009, 8344, 1571, 1026, 5516, 11331, 1157, 1026, 3441, 1027, 4834, 1768, 2270, 1073, 1129, 1239, 32, 2034, 3441, 1121, 20952, 1026, 13455, 1006, 6537, 1371, 1005, 1596, 1132, 5844, 3393, 1074, 1060, 3444, 23913, 1060, 17180, 20, 4429, 8304, 32, 2034, 6102, 16275, 1009, 28721, 4308, 17646, 1847, 8728, 1068, 20513, 1006, 17503, 1213, 5211, 1049, 7118, 2858, 4526, 1370, 1060, 5530, 1641, 1946, 1239, 1009, 18267, 6103, 1072, 8688, 1009, 19539, 3847, 20, 2951, 4526, 156, 1461, 1009, 7331, 7621, 1357, 24161, 1112, 1096, 1026, 28550, 8557, 1060, 11845, 28341, 1009, 28721, 4308, 1406, 1973, 1868, 1812, 9513, 1424, 18756, 1005, 1429, 88, 3342, 17217, 31148, 1118, 20513, 1006, 1050, 1241, 2212, 1124, 6102, 16275, 6154, 1058, 9751, 1006, 1871, 1184, 8403, 1009, 5407, 1048, 1026, 1784, 1566, 3708, 1005, 4456, 5233, 1006, 4173, 1049, 1784, 3944, 1667, 1482, 3399, 10641, 1108, 1005, 1463, 3905, 20032, 5157, 1124, 6102, 16275, 29544, 1048, 1026, 19317, 4219, 27968, 1357, 17180, 18, 7439, 1213, 6518, 4758, 1060, 12873, 1138, 8796, 6483, 1868, 28619, 13236, 32, 2951, 5660, 1049, 19317, 1195, 2072, 1009, 15262, 4493, 1068, 1026, 18088, 7277, 1005, 1837, 2072, 6734, 7880, 1009, 1048, 4426, 2364, 2100, 1138, 1251, 5709, 1187, 11501, 12741, 1096, 6347, 13994, 1680, 6508, 1069, 1175, 1026, 8796, 6483, 10240, 8583, 4032, 7173, 1048, 5404, 1009, 1178, 1198, 2174, 2139, 1005, 14023, 11705, 2100, 1063, 7621, 9923, 5625, 1048, 8830, 2829, 12411, 1657, 1009, 13381, 1005, 1132, 6950, 15582, 1009, 24455, 1159, 3753, 19684, 74, 8382, 1048, 25025, 4236, 1049, 2386, 1009, 24161, 3803, 8605, 32, 1063, 24161, 1112, 1072, 5485, 2386, 1049, 27540, 1243, 1009, 6008, 6369, 3904, 1159, 1264, 1096, 10789, 2876, 1068, 1006, 2360, 3649, 20, 3682, 1512, 11922, 1766, 31075, 1009, 7331, 1160, 1168, 1085, 4411, 1040, 2246, 1596, 5225, 1402, 1009, 5409, 1131, 9698, 1024, 1288, 1026, 30316, 3598, 2315, 13381, 30305, 1026, 1048, 1195, 5413, 1357, 24161, 2094, 1309, 2237, 1096, 1006, 3616, 2733, 1406, 1973, 1026, 15591, 2386, 11584, 4365, 84, 72, 4027, 20, 1538, 132, 19993, 1077, 1178, 4310, 1009, 1419, 3592, 5625, 1054, 1472, 1009, 1657, 6530, 1068, 1857, 1054, 13381, 14211, 1005, 6950, 1227, 1554, 22798, 1295, 1006, 2618, 1096, 1006, 10537, 1785, 23913, 17879, 1096, 19993, 1037, 1278, 2512, 1159, 1026, 1831, 2991, 1049, 1784, 1005, 1616, 1096, 1009, 4493, 24962, 1138, 9885, 1009, 2020, 1165, 2889, 5936, 1325, 1114, 10325, 19872, 1060, 11204, 1049, 1852, 1049, 3009, 15647, 2100, 1138, 8843, 4365, 84, 72, 4027, 18, 1048, 5444, 1044, 3066, 1322, 3441, 5247, 4979, 1048, 1006, 7621, 1516, 1184, 2512, 1049, 1048, 2073, 1251, 5709, 15678, 3012, 1178, 20, 26677, 1187, 6660, 1049, 13455, 1068, 1006, 2042, 5178, 1096, 1026, 3090, 1271, 6102, 16275, 1406, 1973, 11249, 3943, 19317, 1005, 1132, 10429, 9592, 1527, 1035, 1327, 1026, 27136, 1009, 1128, 4938, 1018, 2262, 1005, 1668, 3441, 1027, 9251, 1751, 2668, 2246, 1305, 1124, 14387, 1009, 4526, 1231, 1187, 6824, 1009, 19317, 1160, 12840, 1058, 8744, 2100, 1776, 1852, 1049, 3009, 26970, 11112, 1009, 2020, 1165, 2889, 89, 18948, 1009, 1502, 2903, 1014, 2401, 1068, 1011, 1102, 1072, 1128, 4938, 1324, 1571, 1026, 19317, 2909, 19732, 1054, 13534, 89, 1068, 5407, 1068, 8462, 1005, 1068, 1026, 30701, 1766, 16803, 24161, 1166, 18685, 1751, 1060, 4526, 156, 1461, 1009, 3968, 28209, 1048, 11032, 1054, 1502, 2903, 1014, 2401, 1054, 3968, 5112, 1633, 1730, 1005, 9550, 20197, 16993, 1114, 13859, 1009, 11422, 20274, 20, 1482, 8570, 2081, 1026, 2020, 1165, 2889, 5936, 27106, 1253, 17539, 18, 1068, 1026, 1428, 1124, 6316, 30423, 2897, 1009, 7413, 12315, 1219, 1081, 1596, 2197, 1794, 1273, 2969, 2923, 1233, 2618, 3968, 5112, 20, 12315, 1219, 1081, 1005, 1235, 3419, 5542, 2197, 6422, 30423, 2897, 1054, 1569, 3425, 1054, 11111, 8705, 9533, 1054, 3399, 10641, 8382, 1068, 1026, 1860, 3298, 3968, 28209, 1048, 2257, 1422, 7360, 26156, 1006, 1101, 1054, 8759, 1175, 1616, 1058, 4312, 1006, 8759, 4308, 1068, 1124, 6102, 16275, 1054, 2693, 1006, 17180, 1005, 1807, 1751, 1049, 7118, 2858, 2020, 1165, 2889, 5936, 1516, 1094, 9418, 1009, 7331, 5483, 1068, 1026, 5407, 1009, 19317, 1072, 1852, 1049, 3009, 15647, 1005, 2738, 1049, 3009, 7745, 20, 5126, 1596, 1094, 4081, 5779, 2669, 1068, 1044, 2863, 3729, 1069, 1118, 2696, 1121, 1009, 19317, 1054, 11631, 11168, 3309, 1005, 19539, 3847, 1175, 1206, 4473, 1159, 3524, 6030, 19029, 1026, 19317, 1009, 1008, 1041, 19, 13521, 1068, 1026, 1118, 6302, 1063, 16566, 1184, 11098, 1126, 4169, 1195, 2328, 1009, 28290, 3577, 2756, 85, 1206, 24568, 1009, 1080, 2109, 20, 2858, 2020, 1165, 2889, 5936, 1516, 1094, 9418, 1009, 7331, 5483, 1068, 1026, 5407, 1009, 19317, 1072, 1852, 1049, 3009, 15647, 1005, 2738, 1049, 3009, 7745, 20, 13287, 1048, 12338, 1026, 2020, 1165, 2889, 5936, 10780, 1461, 18516, 2054, 1236, 1068, 1048, 1132, 2020, 1165, 2889, 89, 18873, 8667, 1024, 1288, 1235, 3266, 1861, 1667, 1138, 13333, 17206, 1114, 1751, 1009, 6529, 9090, 10264, 1026, 2019, 1047, 2097, 1026, 5516, 16651, 5626, 1054, 1044, 24930, 2048, 20, 4567, 1048, 1026, 3284, 1195, 1116, 27453, 13996, 1026, 5516, 11331, 1393, 1026, 24568, 12446, 1009, 2922, 1068, 6544, 1060, 2232, 2770, 20, 1766, 31075, 1114, 4526, 1231, 1009, 3399, 10641, 1108, 1596, 7742, 1009, 19752, 2848, 1206, 3251, 19406, 1009, 27058, 1005, 3251, 1206, 4234, 19406, 1009, 27109, 5304, 7630, 1026, 2490, 1009, 7331, 1159, 1094, 7202, 3143, 1021, 9158, 1160, 4219, 2017, 1175, 1026, 2792, 4208, 1078, 14764, 2257, 3778, 1068, 21367, 14387, 1009, 4125, 1118, 31821, 2314, 1175, 1516, 1026, 2490, 1060, 18856, 3454, 9005, 2166, 1026, 1048, 2521, 2693, 1006, 1755, 7999, 8913, 1048, 1026, 3441 ]

[ 5927, 85, 23824, 31105, 1126, 1048, 1620, 1160, 1195, 17379, 1054, 2573, 1072, 2277, 7242, 1667, 1424, 1026, 2999, 1463, 1886, 1316, 1662, 3273, 1327, 5492, 3538, 1005, 5492, 11753, 11661, 4614, 4337, 1048, 2307, 1072, 9988, 1026, 1622, 1060, 16776, 1096, 1807, 20, 3720, 1381, 1006, 5267, 20, 14530, 7187, 1068, 5275, 20, 6062, 26411, 1096, 1049, 20408, 12331, 19782, 1006, 3219, 1005, 1006, 4982, 1592, 1356, 2011, 14028, 1009, 1664, 1132, 7872, 1054, 5064, 1233, 2348, 2531, 1406, 11901, 10449, 1, 11752, 18126, 8737, 5033, 16775, 1416, 2882, 3342, 1175, 18433, 1009, 5033, 16775, 1416, 1005, 16749, 17151, 1175, 5644, 1943, 14339, 4983, 1393, 1161, 1005, 5033, 1212, 1051, 1416, 9805, 1394, 1005, 5033, 16775, 1416, 6174, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 25041, 1048, 1026, 9659, 1009, 6477, 1271, 3425, 5553, 1028, 13974, 2270, 1972, 3005, 4088, 2866, 1046, 3140, 1009, 7245, 1005, 29214, 2586, 1026, 1048, 8981, 1006, 12249, 1009, 3548, 1005, 9756, 1049, 2386, 1068, 3583, 1271, 4656, 14102, 16056, 1009, 1094, 8161, 1006, 1178, 4661, 1118, 4987, 26238, 1005, 2292, 17952, 1048, 1666, 75, 5219, 1664, 1132, 11278, 1009, 3227, 6383, 31424, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 3900, 1817, 3099, 1837, 1184, 1009, 1158, 2864, 1006, 5644, 1943, 14339, 4983, 1393, 1161, 1096, 1094, 1271, 3460, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 1049, 14903, 3720, 1225, 19729, 6022, 1005, 4034, 1009, 5496, 6880, 20, 1134, 4096, 1043, 1044, 10852, 2364, 1592, 1005, 3839, 1459, 26292, 17254, 7, 2656, 22292, 1557, 1005, 1717, 1133, 2306, 1096, 5231, 1072, 10123, 5848, 20304, 3291, 1184, 1322, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 37, 13985, 1048, 1006, 5644, 1943, 14339, 4983, 1393, 1161, 1005, 5033, 1212, 1051, 1416, 4351, 1006, 4081, 1072, 10123, 1009, 3548, 16775, 6495, 14304, 3159, 1009, 3548, 16775, 6495, 1006, 1853, 2451, 1009, 3548, 16775, 1416, 1114, 1205, 31529, 71, 26325, 17189, 1009, 23503, 3247, 1179, 1019, 6657, 3425, 1009, 3548, 16775, 6495, 2451, 1009, 3548, 16775, 6495, 2451, 3548, 16775, 6495, 1365, 1734, 23344, 3782, 5934, 8548, 1679, 8235, 1060, 2451, 1043, 22828, 4085, 1005, 9255, 1009, 13057, 10860, 1927, 1006, 12503, 1049, 4174, 1005, 1006, 18492, 1054, 3195, 1005, 2116, 1554, 8346, 1508, 3794, 3140, 1009, 1871, 1043, 10009, 3450, 1005, 5301, 6633, 1424, 1044, 5883, 31314, 1005, 7042, 1100, 17332, 1026, 10720, 1009, 4408, 1024, 1569, 4759, 7823, 1505, 3005, 1160, 7009, 1009, 4659, 1054, 4280, 1068, 3291, 10922, 1, 7436, 10710, 60, 44, 52, 1561, 30909, 4501, 27298, 30909, 4735, 1107, 18379, 1896, 11359, 8235, 1009, 2824, 3939, 24, 1080, 1803, 23020, 21019, 1896, 21216, 27298, 1691, 5017, 18379, 1896, 11359, 8235, 1009, 2824, 3939, 24, 1080, 1803, 23020, 21019, 1896, 5919, 32, 10129, 1561, 2978, 10714, 11582, 1559, 17594, 4093, 17000, 18911, 1698, 26384, 2702, 1084, 4066, 1605, 1561, 3135, 8895, 2824, 3939, 2084, 10701, 6616, 1068, 5275, 1124, 4034, 1271, 15809, 1005, 28628, 6233, 7871, 1114, 3907, 1009, 2617, 1024, 1005, 21367, 26051, 1063, 20697, 1195, 12392, 3004, 18369, 2600, 7375, 1357, 21019, 1896, 14952, 56, 1123, 1902, 52, 1671, 18, 1072, 1487, 0, 15302, 1009, 14743, 1060, 3836, 1049, 7247, 13594, 1356, 2638, 31681, 27740, 1049, 1073, 1220, 1100, 1054, 14572, 9003, 1006, 21019, 5954, 8651, 7979, 2824, 1487, 2525, 13367, 6616, 1068, 9273, 1271, 8595, 92, 4065, 2824, 2523, 2525, 3612, 6616, 1068, 4727, 3401, 18, 1005, 2824, 1844, 2414, 4406, 6616, 1068, 21051, 1060, 9330, 1060, 25480, 19711, 1138, 2161, 3225, 8496, 75, 1006, 13932, 28, 2624, 1026, 9112, 1049, 4813, 1187, 5180, 1520, 1400, 1505, 2184, 1005, 1063, 14913, 20510, 1009, 2824, 17259, 27, 6616, 1668, 4183, 1009, 2303, 1043, 1858, 9760, 1061, 1166, 1356, 2380, 1009, 5180, 15925, 2591, 156, 2609, 1896, 1060, 26233, 1009, 17756, 1009, 26355, 25864, 1060, 8240, 24969, 20968, 4015, 45, 60, 13747, 14952, 56, 3854, 1081, 1671, 1096, 4553, 18, 1072, 19690, 1118, 1422, 4969, 8598, 1071, 8469, 15, 1009, 15809, 1048, 14360, 1026, 18559, 1009, 2617, 1303, 1009, 2088, 1187, 3145, 1588, 1010, 1009, 2935, 19675, 1005, 11747, 1049, 17523, 1138, 2380, 18886, 1006, 7877, 29319, 29, 1005, 1006, 7877, 19, 4943, 2443, 1048, 3080, 1046, 14572, 1006, 16783, 19794, 1352, 1005, 1726, 3145, 4761, 1072, 3184, 1049, 2497, 33, 1005, 1006, 7554, 15016, 2081, 1365, 16783, 19794, 1352, 1005, 5566, 1103, 1461, 162, 1589, 12904, 58, 2315, 3530, 6560, 2680, 1010, 1664, 2392, 3983, 1138, 4813, 1187, 22787, 2643, 6286, 2355, 7823, 1138, 1048, 3971, 1096, 3453, 4324, 1973, 1026, 4148, 2670, 14952, 56, 3854, 1081, 1671, 18, 3236, 11123, 3514, 9561, 2373, 19881, 29189, 1009, 3182, 1068, 8895, 1054, 9928, 20, 1424, 21349, 1026, 4409, 3960, 1908, 8294, 1060, 11133, 1112, 1009, 2161, 13651, 1499, 1102, 4324, 13236, 6174, 24985, 1327, 1026, 2751, 2191, 1009, 5407, 1005, 2617, 1303, 1009, 3195, 30845, 20037, 1072, 2617, 1303, 1060, 2935, 5092, 1009, 12158, 20246, 1054, 19249, 1327, 8639, 1118, 1675, 13842, 1049, 27279, 1026, 10711, 2947, 1006, 5333, 1009, 6102, 92, 4065, 1043, 3186, 8401, 1005, 5527, 6474, 4065, 1043, 1578, 10390, 18182, 2905, 25371, 1124, 3145, 17842, 1009, 2617, 3784, 1114, 7569, 3826, 1124, 24985, 12252, 1040, 1118, 17246, 11, 1049, 27279, 1072, 11984, 7277, 1118, 1487, 7089, 18, 1005, 1072, 7247, 1118, 1779, 14441, 26230, 4682, 1026, 1908, 17005, 1006, 2475, 23, 0, 3621, 1072, 13769, 1009, 3450, 1271, 8595, 92, 4065, 14547, 1054, 3973, 1356, 15302, 25232, 19926, 5153, 3780, 1060, 17090, 2769, 1187, 22787, 23587, 58, 1349, 1009, 6747, 1006, 1712, 1751, 1271, 15809, 1096, 20227, 1159, 5416, 8465, 2471, 19599, 1349, 12647, 2149, 2525, 25, 9395, 1206, 26922, 1549, 1071, 2443, 13201, 1565, 14336, 18054, 14441, 1327, 24880, 1159, 7325, 1005, 12540, 19599, 1159, 24763, 1533, 1712, 1751, 1187, 8235, 1054, 24985, 11557, 1049, 4898, 15424, 1482, 6747, 1026, 4898, 2999, 2278, 1379, 2824, 10459, 4160, 31, 30415, 1054, 1487, 2308, 31, 7157, 30804, 1026, 1048, 10386, 1006, 1487, 2443, 13842, 1049, 3225, 1060, 25480, 18379, 14077, 5011, 1026, 4898, 9672, 2278, 1379, 2824, 8856, 29, 4368, 6616, 1054, 22346, 22, 5940, 2718, 20, 9075, 1157, 1054, 2612, 1026, 2161, 1005, 1006, 5824, 1104, 13541, 2197, 16104, 1026, 4898, 9672, 26469, 2574, 1184, 1049, 23885, 1049, 4898, 2999, 1118, 1752, 5824, 18266, 3915, 19576, 1233, 12460, 1271, 8595, 92, 4065, 1096, 4230, 1318, 5275, 1124, 6102, 92, 4065, 2277, 1026, 4148, 20225, 5094, 1005, 15279, 2299, 1060, 1123, 4672, 4932, 20833, 1048, 2927, 1007, 2224, 1910, 2718, 1009, 25480, 23913, 1072, 1123, 6822, 1067, 6540, 7554, 18, 31429, 20905, 1005, 13362, 1349, 11006, 6257, 8376, 1972, 1098, 22927, 1006, 4493, 1271, 6102, 16275, 1054, 2869, 1726, 8595, 92, 4065, 1068, 1048, 1124, 6102, 16275, 4444, 8639, 1118, 21100, 1187, 23852, 1005, 1124, 24985, 2595, 8401, 2909, 3654, 4125, 1049, 3633, 4758, 1009, 17362, 9557, 1009, 12845, 9736, 1312, 1118, 1901, 1068, 9160, 27, 2744, 1009, 12845, 13906, 1734, 4912, 17502, 1026, 5407, 28321, 30914, 1044, 17028, 1147, 1009, 2824, 1083, 11340, 1627, 1009, 2303, 1043, 1132, 22179, 1060, 1123, 1036, 1100, 22910, 1006, 6937, 1060, 14289, 1009, 18835, 13277, 8473, 3423, 2668, 2909, 2481, 1094, 5337, 1009, 2824, 12540, 26, 6616, 11787, 1054, 1734, 18956, 1009, 5407, 1009, 1429, 29284, 1, 3295, 10993, 9521, 3295, 10993, 9521, 11906, 1134, 1430, 26543, 44, 13800, 4501, 4783, 7985, 3808, 9707, 2149, 7375, 5687, 1026, 3366, 1009, 10363, 1049, 17982, 20959, 1535, 1774, 1121, 1068, 24448, 1054, 3015, 1174, 1802, 1063, 8515, 1225, 1118, 3489, 1026, 3090, 1009, 23900, 1054, 19403, 89, 1005, 6828, 3235, 1043, 1006, 5579, 1009, 19165, 1043, 1124, 13340, 58, 13, 1916, 1138, 2743, 2612, 1043, 1006, 5966, 1049, 9036, 40, 4071, 6854, 1048, 17785, 2220, 5875, 1679, 24113, 20, 2613, 3923, 4972, 1693, 1178, 9912, 2307, 9027, 1072, 2788, 1060, 1134, 1430, 26543, 44, 54, 6854, 1206, 1072, 2788, 1049, 9036, 40, 4071, 43, 22093, 3057, 4941, 1833, 29833, 20959, 1535, 1774, 1121, 1068, 18130, 3803, 12614, 11490, 1009, 11906, 17181, 1430, 26543, 44, 13800, 1467, 27595, 1060, 8515, 1225, 14691, 1463, 3145, 23362, 1049, 7751, 1482, 24788, 5687, 1072, 27811, 2193, 7260, 1005, 7312, 1043, 1006, 4455, 1009, 4306, 20360, 1060, 31595, 4525, 2247, 1060, 4281, 1060, 10186, 13800, 1005, 1060, 1134, 1430, 20, 11421, 1026, 4449, 3092, 1009, 10363, 1049, 2743, 26801, 1, 2773, 2602, 1357, 1380, 1226, 1060, 4648, 1589, 1054, 4188, 1006, 2955, 14007, 1005, 3236, 25313, 1139, 4475, 2013, 1493, 7296, 14632, 2464, 1006, 2323, 1009, 1094, 6672, 15207, 1006, 4648, 1589, 2155, 9095, 1184, 1005, 1184, 1169, 2260, 18, 1998, 1058, 5662, 1044, 1206, 2143, 19659, 1233, 13786, 3752, 3144, 12911, 1072, 1852, 96, 5489, 1566, 3867, 1233, 11295, 1068, 2955, 2529, 2339, 1006, 12435, 2191, 22975, 1140, 1566, 1160, 1225, 1026, 1086, 2758, 2356, 1048, 1058, 4100, 1034, 1233, 1073, 1523, 12155, 1, 1538, 21687, 3806, 13, 4597, 5138, 1054, 4087, 1009, 6586, 1175, 28207, 1344, 1185, 23644, 1138, 7764, 5, 3989, 10714, 10280, 1175, 10535, 78, 4368, 1576, 7986, 1049, 7335, 1009, 1538, 21687, 3806, 13, 6133, 1114, 1944, 4137, 1060, 2360, 3337, 1060, 2700, 14322, 19468, 14079, 1020, 1006, 1944, 4137, 1060, 2360, 3337, 1009, 1150, 21687, 3806, 2100, 1776, 1319, 1051, 3426, 7490, 95, 29715, 15371, 2397, 5121, 4763, 1313, 10257, 1870, 18996, 3474, 1154, 22027, 11078, 1130, 3814, 13008, 23711, 1126, 11888, 1280, 4269, 1097, 2975, 1587, 80, 2344, 26593, 1005, 3859, 1631, 7694, 20, 1063, 6559, 2177, 1072, 3867, 1531, 9930, 1072, 7764, 6749, 20, 2494, 2700, 1009, 26975, 6871, 2356, 1005, 27032, 2478, 1019, 1139, 73, 5581, 1043, 4188, 14112, 1009, 21899, 20096, 30489, 1006, 5411, 7506, 11440, 3512, 1009, 5412, 2155, 16310, 2048, 6900, 1048, 10621, 1288, 3745, 1019, 3639, 1005, 27581, 1009, 1764, 2434, 3021, 85, 1139, 9314, 16043, 1318, 8285, 1114, 14168, 20, 2200, 16892, 1945, 7384, 89, 5489, 2792, 1048, 5658, 1009, 30728, 13052, 1014, 1005, 18609, 1009, 9075, 79, 6938, 1051, 22789, 31044, 1026, 2915, 1053, 1009, 4032, 1221, 1060, 4208, 1245, 1342, 1406, 1114, 31112, 1565, 3423, 1009, 11888, 1280, 78, 4269, 1097, 2975, 1132, 11415, 1048, 16892, 1046, 1132, 7748, 5711, 1027, 1072, 7335, 5613, 15414, 1060, 14332, 1403, 5616, 4320, 2624, 1118, 3865, 1060, 21155, 9686, 1213, 2822, 1668, 3681, 1054, 1764, 10533, 1, 7807, 1009, 1067, 1671, 1047, 1009, 1205, 20396, 18506, 8276, 1643, 79, 1175, 1067, 1671, 1047, 1009, 1205, 6719, 1054, 2677, 12696, 1175, 20189, 1099, 1230, 10504, 7807, 1009, 6112, 7606, 1047, 1043, 1123, 12826, 1236, 21567, 1213, 29710, 1605, 2380, 1009, 21292, 1009, 7543, 4410, 8276, 1643, 79, 2995, 7853, 1157, 2380, 1009, 21292, 1009, 7543, 4410, 8276, 1643, 79, 37, 1063, 20189, 1099, 1230, 10504, 9392, 1072, 10123, 1009, 8658, 1717, 9593, 2037, 1005, 21621, 1068, 1456, 4209, 3140, 1159, 1026, 1009, 31021, 1009, 29046, 1009, 6112, 7606, 2037, 7807, 1009, 6112, 7606, 2037, 3088, 23715, 1009, 1068, 1123, 1214, 1229, 2955, 1769, 1009, 7515, 1292, 1055, 28010, 6146, 31785, 1112, 15629, 41, 40, 1005, 7807, 1009, 6112, 7606, 1047, 5292, 8026, 20, 1972, 1094, 1712, 12503, 1187, 13857, 1006, 2451, 3902, 8895, 1294, 3460, 4085, 1049, 11257, 1005, 1054, 9255, 3944, 1273, 14653, 4682, 1006, 1224, 6992, 1005, 3593, 26292, 1072, 14903, 4685, 27720, 1043, 31021, 1009, 26290, 1006, 6112, 7606, 1047, 1005, 3088, 1029, 1394, 1009, 1068, 1123, 1214, 1554, 1134, 4096, 1043, 3794, 9556, 1704, 3284, 1049, 3407, 3793, 5996, 1009, 1067, 1671, 1047, 1009, 1205, 20396, 18506, 8276, 1643, 29104, 1096, 1009, 3282, 20638, 4490, 19025, 7951, 1206, 11100, 1592, 14992, 3794, 19954, 1096, 16008, 1305, 1006, 9478, 1049, 18092, 14862, 1009, 12650, 1009, 3282, 19283, 1479, 2859, 10666, 1049, 7453, 13908, 1479, 3811, 21387, 1175, 3811, 1009, 3997, 20926, 1, 14744, 1020, 1175, 2963, 45, 11047, 1175, 1387, 1385, 96, 1009, 17244, 1220, 13812, 22711, 4189, 9047, 8764, 1114, 19997, 1717, 25118, 1038, 1020, 5992, 5, 2721, 10546, 1175, 12715, 3989, 6593, 1385, 96, 1009, 17244, 1220, 13812, 22711, 4189, 9047, 8764, 1114, 19997, 1717, 25118, 1038, 1020, 5992, 14996, 1094, 4953, 9592, 9451, 5543, 1068, 1026, 8667, 1271, 5465, 11534, 1118, 1180, 1434, 22711, 4189, 20, 4733, 7386, 1009, 1313, 1053, 5352, 17063, 1006, 2285, 1044, 1049, 1784, 7015, 17244, 1220, 1031, 1114, 5994, 31646, 1006, 17930, 16651, 2429, 1472, 1006, 23760, 1052, 2638, 7308, 30727, 1393, 2196, 1048, 1058, 16700, 1131, 1463, 31022, 28940, 1453, 1049, 10322, 25723, 9534, 1043, 1094, 9348, 1118, 1101, 31949, 1006, 3519, 3742, 1654, 1009, 1675, 17762, 1005, 1675, 13952 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5927, 85, 23824, 31105, 1126, 1048, 1620, 1160, 1195, 17379, 1054, 2573, 1072, 2277, 7242, 1667, 1424, 1026, 2999, 1463, 1886, 1316, 1662, 3273, 1327, 5492, 3538, 1005, 5492, 11753, 11661, 4614, 4337, 1048, 2307, 1072, 9988, 1026, 1622, 1060, 16776, 1096, 1807, 20, 3720, 1381, 1006, 5267, 20, 14530, 7187, 1068, 5275, 20, 6062, 26411, 1096, 1049, 20408, 12331, 19782, 1006, 3219, 1005, 1006, 4982, 1592, 1356, 2011, 14028, 1009, 1664, 1132, 7872, 1054, 5064, 1233, 2348, 2531, 1406, 11901, 10449, 1, 11752, 18126, 8737, 5033, 16775, 1416, 2882, 3342, 1175, 18433, 1009, 5033, 16775, 1416, 1005, 16749, 17151, 1175, 5644, 1943, 14339, 4983, 1393, 1161, 1005, 5033, 1212, 1051, 1416, 9805, 1394, 1005, 5033, 16775, 1416, 6174, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 25041, 1048, 1026, 9659, 1009, 6477, 1271, 3425, 5553, 1028, 13974, 2270, 1972, 3005, 4088, 2866, 1046, 3140, 1009, 7245, 1005, 29214, 2586, 1026, 1048, 8981, 1006, 12249, 1009, 3548, 1005, 9756, 1049, 2386, 1068, 3583, 1271, 4656, 14102, 16056, 1009, 1094, 8161, 1006, 1178, 4661, 1118, 4987, 26238, 1005, 2292, 17952, 1048, 1666, 75, 5219, 1664, 1132, 11278, 1009, 3227, 6383, 31424, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 3900, 1817, 3099, 1837, 1184, 1009, 1158, 2864, 1006, 5644, 1943, 14339, 4983, 1393, 1161, 1096, 1094, 1271, 3460, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 1049, 14903, 3720, 1225, 19729, 6022, 1005, 4034, 1009, 5496, 6880, 20, 1134, 4096, 1043, 1044, 10852, 2364, 1592, 1005, 3839, 1459, 26292, 17254, 7, 2656, 22292, 1557, 1005, 1717, 1133, 2306, 1096, 5231, 1072, 10123, 5848, 20304, 3291, 1184, 1322, 1571, 5317, 3159, 3548, 16775, 1416, 2882, 3342, 37, 13985, 1048, 1006, 5644, 1943, 14339, 4983, 1393, 1161, 1005, 5033, 1212, 1051, 1416, 4351, 1006, 4081, 1072, 10123, 1009, 3548, 16775, 6495, 14304, 3159, 1009, 3548, 16775, 6495, 1006, 1853, 2451, 1009, 3548, 16775, 1416, 1114, 1205, 31529, 71, 26325, 17189, 1009, 23503, 3247, 1179, 1019, 6657, 3425, 1009, 3548, 16775, 6495, 2451, 1009, 3548, 16775, 6495, 2451, 3548, 16775, 6495, 1365, 1734, 23344, 3782, 5934, 8548, 1679, 8235, 1060, 2451, 1043, 22828, 4085, 1005, 9255, 1009, 13057, 10860, 1927, 1006, 12503, 1049, 4174, 1005, 1006, 18492, 1054, 3195, 1005, 2116, 1554, 8346, 1508, 3794, 3140, 1009, 1871, 1043, 10009, 3450, 1005, 5301, 6633, 1424, 1044, 5883, 31314, 1005, 7042, 1100, 17332, 1026, 10720, 1009, 4408, 1024, 1569, 4759, 7823, 1505, 3005, 1160, 7009, 1009, 4659, 1054, 4280, 1068, 3291, 10922, 1, 7436, 10710, 60, 44, 52, 1561, 30909, 4501, 27298, 30909, 4735, 1107, 18379, 1896, 11359, 8235, 1009, 2824, 3939, 24, 1080, 1803, 23020, 21019, 1896, 21216, 27298, 1691, 5017, 18379, 1896, 11359, 8235, 1009, 2824, 3939, 24, 1080, 1803, 23020, 21019, 1896, 5919, 32, 10129, 1561, 2978, 10714, 11582, 1559, 17594, 4093, 17000, 18911, 1698, 26384, 2702, 1084, 4066, 1605, 1561, 3135, 8895, 2824, 3939, 2084, 10701, 6616, 1068, 5275, 1124, 4034, 1271, 15809, 1005, 28628, 6233, 7871, 1114, 3907, 1009, 2617, 1024, 1005, 21367, 26051, 1063, 20697, 1195, 12392, 3004, 18369, 2600, 7375, 1357, 21019, 1896, 14952, 56, 1123, 1902, 52, 1671, 18, 1072, 1487, 0, 15302, 1009, 14743, 1060, 3836, 1049, 7247, 13594, 1356, 2638, 31681, 27740, 1049, 1073, 1220, 1100, 1054, 14572, 9003, 1006, 21019, 5954, 8651, 7979, 2824, 1487, 2525, 13367, 6616, 1068, 9273, 1271, 8595, 92, 4065, 2824, 2523, 2525, 3612, 6616, 1068, 4727, 3401, 18, 1005, 2824, 1844, 2414, 4406, 6616, 1068, 21051, 1060, 9330, 1060, 25480, 19711, 1138, 2161, 3225, 8496, 75, 1006, 13932, 28, 2624, 1026, 9112, 1049, 4813, 1187, 5180, 1520, 1400, 1505, 2184, 1005, 1063, 14913, 20510, 1009, 2824, 17259, 27, 6616, 1668, 4183, 1009, 2303, 1043, 1858, 9760, 1061, 1166, 1356, 2380, 1009, 5180, 15925, 2591, 156, 2609, 1896, 1060, 26233, 1009, 17756, 1009, 26355, 25864, 1060, 8240, 24969, 20968, 4015, 45, 60, 13747, 14952, 56, 3854, 1081, 1671, 1096, 4553, 18, 1072, 19690, 1118, 1422, 4969, 8598, 1071, 8469, 15, 1009, 15809, 1048, 14360, 1026, 18559, 1009, 2617, 1303, 1009, 2088, 1187, 3145, 1588, 1010, 1009, 2935, 19675, 1005, 11747, 1049, 17523, 1138, 2380, 18886, 1006, 7877, 29319, 29, 1005, 1006, 7877, 19, 4943, 2443, 1048, 3080, 1046, 14572, 1006, 16783, 19794, 1352, 1005, 1726, 3145, 4761, 1072, 3184, 1049, 2497, 33, 1005, 1006, 7554, 15016, 2081, 1365, 16783, 19794, 1352, 1005, 5566, 1103, 1461, 162, 1589, 12904, 58, 2315, 3530, 6560, 2680, 1010, 1664, 2392, 3983, 1138, 4813, 1187, 22787, 2643, 6286, 2355, 7823, 1138, 1048, 3971, 1096, 3453, 4324, 1973, 1026, 4148, 2670, 14952, 56, 3854, 1081, 1671, 18, 3236, 11123, 3514, 9561, 2373, 19881, 29189, 1009, 3182, 1068, 8895, 1054, 9928, 20, 1424, 21349, 1026, 4409, 3960, 1908, 8294, 1060, 11133, 1112, 1009, 2161, 13651, 1499, 1102, 4324, 13236, 6174, 24985, 1327, 1026, 2751, 2191, 1009, 5407, 1005, 2617, 1303, 1009, 3195, 30845, 20037, 1072, 2617, 1303, 1060, 2935, 5092, 1009, 12158, 20246, 1054, 19249, 1327, 8639, 1118, 1675, 13842, 1049, 27279, 1026, 10711, 2947, 1006, 5333, 1009, 6102, 92, 4065, 1043, 3186, 8401, 1005, 5527, 6474, 4065, 1043, 1578, 10390, 18182, 2905, 25371, 1124, 3145, 17842, 1009, 2617, 3784, 1114, 7569, 3826, 1124, 24985, 12252, 1040, 1118, 17246, 11, 1049, 27279, 1072, 11984, 7277, 1118, 1487, 7089, 18, 1005, 1072, 7247, 1118, 1779, 14441, 26230, 4682, 1026, 1908, 17005, 1006, 2475, 23, 0, 3621, 1072, 13769, 1009, 3450, 1271, 8595, 92, 4065, 14547, 1054, 3973, 1356, 15302, 25232, 19926, 5153, 3780, 1060, 17090, 2769, 1187, 22787, 23587, 58, 1349, 1009, 6747, 1006, 1712, 1751, 1271, 15809, 1096, 20227, 1159, 5416, 8465, 2471, 19599, 1349, 12647, 2149, 2525, 25, 9395, 1206, 26922, 1549, 1071, 2443, 13201, 1565, 14336, 18054, 14441, 1327, 24880, 1159, 7325, 1005, 12540, 19599, 1159, 24763, 1533, 1712, 1751, 1187, 8235, 1054, 24985, 11557, 1049, 4898, 15424, 1482, 6747, 1026, 4898, 2999, 2278, 1379, 2824, 10459, 4160, 31, 30415, 1054, 1487, 2308, 31, 7157, 30804, 1026, 1048, 10386, 1006, 1487, 2443, 13842, 1049, 3225, 1060, 25480, 18379, 14077, 5011, 1026, 4898, 9672, 2278, 1379, 2824, 8856, 29, 4368, 6616, 1054, 22346, 22, 5940, 2718, 20, 9075, 1157, 1054, 2612, 1026, 2161, 1005, 1006, 5824, 1104, 13541, 2197, 16104, 1026, 4898, 9672, 26469, 2574, 1184, 1049, 23885, 1049, 4898, 2999, 1118, 1752, 5824, 18266, 3915, 19576, 1233, 12460, 1271, 8595, 92, 4065, 1096, 4230, 1318, 5275, 1124, 6102, 92, 4065, 2277, 1026, 4148, 20225, 5094, 1005, 15279, 2299, 1060, 1123, 4672, 4932, 20833, 1048, 2927, 1007, 2224, 1910, 2718, 1009, 25480, 23913, 1072, 1123, 6822, 1067, 6540, 7554, 18, 31429, 20905, 1005, 13362, 1349, 11006, 6257, 8376, 1972, 1098, 22927, 1006, 4493, 1271, 6102, 16275, 1054, 2869, 1726, 8595, 92, 4065, 1068, 1048, 1124, 6102, 16275, 4444, 8639, 1118, 21100, 1187, 23852, 1005, 1124, 24985, 2595, 8401, 2909, 3654, 4125, 1049, 3633, 4758, 1009, 17362, 9557, 1009, 12845, 9736, 1312, 1118, 1901, 1068, 9160, 27, 2744, 1009, 12845, 13906, 1734, 4912, 17502, 1026, 5407, 28321, 30914, 1044, 17028, 1147, 1009, 2824, 1083, 11340, 1627, 1009, 2303, 1043, 1132, 22179, 1060, 1123, 1036, 1100, 22910, 1006, 6937, 1060, 14289, 1009, 18835, 13277, 8473, 3423, 2668, 2909, 2481, 1094, 5337, 1009, 2824, 12540, 26, 6616, 11787, 1054, 1734, 18956, 1009, 5407, 1009, 1429, 29284, 1, 3295, 10993, 9521, 3295, 10993, 9521, 11906, 1134, 1430, 26543, 44, 13800, 4501, 4783, 7985, 3808, 9707, 2149, 7375, 5687, 1026, 3366, 1009, 10363, 1049, 17982, 20959, 1535, 1774, 1121, 1068, 24448, 1054, 3015, 1174, 1802, 1063, 8515, 1225, 1118, 3489, 1026, 3090, 1009, 23900, 1054, 19403, 89, 1005, 6828, 3235, 1043, 1006, 5579, 1009, 19165, 1043, 1124, 13340, 58, 13, 1916, 1138, 2743, 2612, 1043, 1006, 5966, 1049, 9036, 40, 4071, 6854, 1048, 17785, 2220, 5875, 1679, 24113, 20, 2613, 3923, 4972, 1693, 1178, 9912, 2307, 9027, 1072, 2788, 1060, 1134, 1430, 26543, 44, 54, 6854, 1206, 1072, 2788, 1049, 9036, 40, 4071, 43, 22093, 3057, 4941, 1833, 29833, 20959, 1535, 1774, 1121, 1068, 18130, 3803, 12614, 11490, 1009, 11906, 17181, 1430, 26543, 44, 13800, 1467, 27595, 1060, 8515, 1225, 14691, 1463, 3145, 23362, 1049, 7751, 1482, 24788, 5687, 1072, 27811, 2193, 7260, 1005, 7312, 1043, 1006, 4455, 1009, 4306, 20360, 1060, 31595, 4525, 2247, 1060, 4281, 1060, 10186, 13800, 1005, 1060, 1134, 1430, 20, 11421, 1026, 4449, 3092, 1009, 10363, 1049, 2743, 26801, 1, 2773, 2602, 1357, 1380, 1226, 1060, 4648, 1589, 1054, 4188, 1006, 2955, 14007, 1005, 3236, 25313, 1139, 4475, 2013, 1493, 7296, 14632, 2464, 1006, 2323, 1009, 1094, 6672, 15207, 1006, 4648, 1589, 2155, 9095, 1184, 1005, 1184, 1169, 2260, 18, 1998, 1058, 5662, 1044, 1206, 2143, 19659, 1233, 13786, 3752, 3144, 12911, 1072, 1852, 96, 5489, 1566, 3867, 1233, 11295, 1068, 2955, 2529, 2339, 1006, 12435, 2191, 22975, 1140, 1566, 1160, 1225, 1026, 1086, 2758, 2356, 1048, 1058, 4100, 1034, 1233, 1073, 1523, 12155, 1, 1538, 21687, 3806, 13, 4597, 5138, 1054, 4087, 1009, 6586, 1175, 28207, 1344, 1185, 23644, 1138, 7764, 5, 3989, 10714, 10280, 1175, 10535, 78, 4368, 1576, 7986, 1049, 7335, 1009, 1538, 21687, 3806, 13, 6133, 1114, 1944, 4137, 1060, 2360, 3337, 1060, 2700, 14322, 19468, 14079, 1020, 1006, 1944, 4137, 1060, 2360, 3337, 1009, 1150, 21687, 3806, 2100, 1776, 1319, 1051, 3426, 7490, 95, 29715, 15371, 2397, 5121, 4763, 1313, 10257, 1870, 18996, 3474, 1154, 22027, 11078, 1130, 3814, 13008, 23711, 1126, 11888, 1280, 4269, 1097, 2975, 1587, 80, 2344, 26593, 1005, 3859, 1631, 7694, 20, 1063, 6559, 2177, 1072, 3867, 1531, 9930, 1072, 7764, 6749, 20, 2494, 2700, 1009, 26975, 6871, 2356, 1005, 27032, 2478, 1019, 1139, 73, 5581, 1043, 4188, 14112, 1009, 21899, 20096, 30489, 1006, 5411, 7506, 11440, 3512, 1009, 5412, 2155, 16310, 2048, 6900, 1048, 10621, 1288, 3745, 1019, 3639, 1005, 27581, 1009, 1764, 2434, 3021, 85, 1139, 9314, 16043, 1318, 8285, 1114, 14168, 20, 2200, 16892, 1945, 7384, 89, 5489, 2792, 1048, 5658, 1009, 30728, 13052, 1014, 1005, 18609, 1009, 9075, 79, 6938, 1051, 22789, 31044, 1026, 2915, 1053, 1009, 4032, 1221, 1060, 4208, 1245, 1342, 1406, 1114, 31112, 1565, 3423, 1009, 11888, 1280, 78, 4269, 1097, 2975, 1132, 11415, 1048, 16892, 1046, 1132, 7748, 5711, 1027, 1072, 7335, 5613, 15414, 1060, 14332, 1403, 5616, 4320, 2624, 1118, 3865, 1060, 21155, 9686, 1213, 2822, 1668, 3681, 1054, 1764, 10533, 1, 7807, 1009, 1067, 1671, 1047, 1009, 1205, 20396, 18506, 8276, 1643, 79, 1175, 1067, 1671, 1047, 1009, 1205, 6719, 1054, 2677, 12696, 1175, 20189, 1099, 1230, 10504, 7807, 1009, 6112, 7606, 1047, 1043, 1123, 12826, 1236, 21567, 1213, 29710, 1605, 2380, 1009, 21292, 1009, 7543, 4410, 8276, 1643, 79, 2995, 7853, 1157, 2380, 1009, 21292, 1009, 7543, 4410, 8276, 1643, 79, 37, 1063, 20189, 1099, 1230, 10504, 9392, 1072, 10123, 1009, 8658, 1717, 9593, 2037, 1005, 21621, 1068, 1456, 4209, 3140, 1159, 1026, 1009, 31021, 1009, 29046, 1009, 6112, 7606, 2037, 7807, 1009, 6112, 7606, 2037, 3088, 23715, 1009, 1068, 1123, 1214, 1229, 2955, 1769, 1009, 7515, 1292, 1055, 28010, 6146, 31785, 1112, 15629, 41, 40, 1005, 7807, 1009, 6112, 7606, 1047, 5292, 8026, 20, 1972, 1094, 1712, 12503, 1187, 13857, 1006, 2451, 3902, 8895, 1294, 3460, 4085, 1049, 11257, 1005, 1054, 9255, 3944, 1273, 14653, 4682, 1006, 1224, 6992, 1005, 3593, 26292, 1072, 14903, 4685, 27720, 1043, 31021, 1009, 26290, 1006, 6112, 7606, 1047, 1005, 3088, 1029, 1394, 1009, 1068, 1123, 1214, 1554, 1134, 4096, 1043, 3794, 9556, 1704, 3284, 1049, 3407, 3793, 5996, 1009, 1067, 1671, 1047, 1009, 1205, 20396, 18506, 8276, 1643, 29104, 1096, 1009, 3282, 20638, 4490, 19025, 7951, 1206, 11100, 1592, 14992, 3794, 19954, 1096, 16008, 1305, 1006, 9478, 1049, 18092, 14862, 1009, 12650, 1009, 3282, 19283, 1479, 2859, 10666, 1049, 7453, 13908, 1479, 3811, 21387, 1175, 3811, 1009, 3997, 20926, 1, 14744, 1020, 1175, 2963, 45, 11047, 1175, 1387, 1385, 96, 1009, 17244, 1220, 13812, 22711, 4189, 9047, 8764, 1114, 19997, 1717, 25118, 1038, 1020, 5992, 5, 2721, 10546, 1175, 12715, 3989, 6593, 1385, 96, 1009, 17244, 1220, 13812, 22711, 4189, 9047, 8764, 1114, 19997, 1717, 25118, 1038, 1020, 5992, 14996, 1094, 4953, 9592, 9451, 5543, 1068, 1026, 8667, 1271, 5465, 11534, 1118, 1180, 1434, 22711, 4189, 20, 4733, 7386, 1009, 1313, 1053, 5352, 17063, 1006, 2285, 1044, 1049, 1784, 7015, 17244, 1220, 1031, 1114, 5994, 31646, 1006, 17930, 16651, 2429, 1472, 1006, 23760, 1052, 2638, 7308, 30727, 1393, 2196, 1048, 1058, 16700, 1131, 1463, 31022, 28940, 1453, 1049, 10322, 25723, 9534, 1043, 1094, 9348, 1118, 1101, 31949, 1006, 3519, 3742, 1654, 1009, 1675, 17762, 1005, 1675, 13952 ]

[ 1043, 4008, 1068, 1184, 1009, 2595, 28016, 1026, 2376, 175, 6197, 27419, 2063, 29421, 1816, 27419, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 27528, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 13734, 28016, 1026, 2376, 175, 6197, 27419, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 23117, 1304, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 23117, 1304, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 13734, 28016, 1026, 2376, 175, 6197, 27419, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 1134, 1829, 1303, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 1134, 1829, 1303, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 13734, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 1955, 1802, 19784, 24667, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 1955, 1802, 19784, 24667, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27309, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27309, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 11884, 25889, 19784, 24667, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 11884, 25889, 19784, 24667, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27309, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27309, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1404, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1404, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1839, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1839, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1487, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1487, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 4160, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 4160, 1675, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1487, 1839, 1422, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1487, 1839, 1422, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1422, 4160, 1422, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1422, 4160, 1422, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 16286, 16239, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 16286, 16239, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 16286, 16239, 1134, 13462, 1422, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 16286, 16239, 1134, 13462, 1422, 1839 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1043, 4008, 1068, 1184, 1009, 2595, 28016, 1026, 2376, 175, 6197, 27419, 2063, 29421, 1816, 27419, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 27528, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 13734, 28016, 1026, 2376, 175, 6197, 27419, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 23117, 1304, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 23117, 1304, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 13734, 28016, 1026, 2376, 175, 6197, 27419, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 1134, 1829, 1303, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 3788, 1162, 20588, 1144, 149, 89, 1197, 1013, 1134, 1829, 1303, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 13734, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 1955, 1802, 19784, 24667, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 1955, 1802, 19784, 24667, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27309, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 28294, 27309, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27528, 21249, 16767, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 11884, 25889, 19784, 24667, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 11884, 25889, 19784, 24667, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27309, 1101, 86, 1119, 2401, 1045, 27419, 2063, 1062, 1031, 2174, 1093, 1387, 1108, 1056, 2112, 12982, 27309, 1101, 86, 1119, 2401, 1045, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 5309, 1009, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1404, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1404, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1839, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1487, 1839, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1487, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1487, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 4160, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 4160, 1675, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 13462, 1422, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1487, 1839, 1422, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1487, 1839, 1422, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1422, 4160, 1422, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 1842, 44, 25509, 1134, 58, 1422, 4160, 1422, 143, 24, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 16286, 16239, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 16286, 16239, 1134, 58, 58, 1422, 4160, 1675, 143, 26, 1119, 2401, 1045, 4356, 6877, 25513, 1005, 7471, 1861, 2585, 26006, 1072, 1853, 3159, 1009, 1057, 27988, 3784, 1043, 16558, 8235, 1054, 15548, 2227, 1005, 21222, 2740, 3336, 17058, 3759, 1047, 29245, 1184, 1009, 2595, 22776, 2216, 1009, 1807, 1118, 5920, 1159, 2488, 7656, 1005, 4494, 1627, 1005, 5251, 7041, 1009, 5877, 4475, 2778, 1508, 1043, 5309, 1009, 26989, 1416, 1005, 6777, 7253, 27362, 1009, 14980, 2740, 3589, 1745, 13855, 6687, 4917, 1005, 28016, 1026, 2376, 175, 6197, 27419, 2063, 1119, 2162, 16286, 16239, 1134, 13462, 1422, 1839, 1675, 143, 24, 1119, 2401, 1045, 4356, 13123, 56, 1367, 2063, 1119, 2162, 16286, 16239, 1134, 13462, 1422, 1839 ]

[ 0, 8740, 18706, 1571, 1195, 16620, 14845, 1068, 1072, 1901, 2511, 5115, 2360, 1681, 2154, 2364, 1068, 1006, 6517, 14315, 3330, 1048, 5115, 1034, 1357, 1307, 0, 1472, 1213, 3159, 1049, 23554, 76, 2732, 2098, 1631, 2191, 12883, 1079, 1213, 17764, 1118, 2156, 6236, 1831, 1159, 1403, 12574, 1009, 30753, 3314, 7429, 2697, 1157, 1118, 1178, 9563, 1060, 1588, 17795, 7160, 1009, 31923, 1048, 12206, 27037, 1007, 20695, 1663, 1054, 17640, 1511, 26371, 4243, 1633, 4703, 24753, 1005, 1846, 1054, 3303, 1068, 8727, 1705, 2137, 2037, 1114, 6406, 1009, 1094, 1318, 22796, 71, 1150, 1358, 1221, 8576, 6273, 8175, 1406, 20608, 2276, 10889, 1094, 3845, 1076, 1231, 1005, 9454, 1006, 10557, 1356, 20687, 1048, 5404, 1118, 1178, 14428, 1356, 2695, 1179, 1291, 15017, 1009, 1044, 1957, 2300, 2095, 1114, 1224, 3560, 2569, 1094, 7530, 1118, 30463, 1996, 1009, 12883, 1024, 1006, 3032, 1068, 17512, 1026, 1228, 10046, 1089, 1199, 1048, 4713, 7005, 1009, 2922, 1233, 1083, 0, 6254, 1005, 8073, 1026, 8039, 1009, 26372, 18, 1309, 1026, 1235, 7663, 1015, 1520, 2707, 1876, 1005, 1807, 19904, 1047, 1365, 1006, 2531, 2123, 1081, 3097, 5036, 1043, 1048, 1026, 1235, 24106, 1213, 17764, 4219, 1927, 1094, 14496, 1006, 2265, 2459, 1, 30038, 32, 1063, 2193, 8673, 1187, 25764, 8285, 5321, 1072, 8184, 1986, 1026, 17636, 1271, 3764, 9709, 1068, 1006, 8859, 1049, 17553, 2200, 1177, 1049, 16101, 15685, 12962, 1068, 17553, 1049, 16101, 2149, 0, 13622, 1308, 6107, 1027, 25243, 1132, 3770, 20956, 2502, 1213, 5731, 7506, 1049, 7558, 32, 19174, 1221, 14997, 1096, 6752, 1213, 5333, 1009, 17553, 1049, 16101, 1356, 7727, 52, 2645, 1218, 1188, 1060, 15393, 8237, 2769, 1565, 13486, 1060, 3861, 1049, 31549, 3555, 1, 30897, 16450, 1096, 20041, 1006, 2750, 26265, 1184, 5617, 1196, 1049, 1784, 1175, 11329, 7038, 6750, 2555, 1731, 76, 16450, 1096, 20041, 1006, 2750, 26265, 1184, 5617, 1196, 1049, 1784, 3141, 8064, 1253, 1060, 5623, 6949, 13940, 1195, 4949, 1043, 21226, 1009, 2595, 13705, 1048, 1318, 7257, 1975, 1006, 2451, 1159, 1006, 1083, 0, 1853, 1049, 4898, 1365, 1124, 26752, 1533, 30897, 2681, 1961, 1048, 1225, 1006, 18005, 1159, 4214, 4678, 1072, 3878, 1195, 20041, 1006, 2750, 26265, 1009, 23884, 1184, 5617, 1196, 1049, 5108, 2277, 1026, 13769, 10038, 2373, 8822, 5488, 22026, 11153, 2345, 83, 23851, 22248, 2401, 4324, 1060, 5623, 6949, 1146, 1802, 2505, 3608, 1657, 1060, 16622, 10943, 12, 11151, 1687, 2793, 1054, 1831, 2269, 1365, 1124, 31293, 26752, 1049, 4898, 1533, 3780, 17914, 15870, 11130, 11707, 1365, 1857, 1026, 1009, 23884, 18, 1048, 16471, 5878, 3235, 18401, 1312, 1005, 1048, 1596, 3429, 5616, 1054, 7828, 4741, 1818, 1554, 1766, 8639, 1357, 5034, 1596, 5142, 31, 1254, 2866, 6875, 3731, 5430, 19262, 1005, 9556, 1054, 2595, 3825, 6889, 1782, 12625, 1006, 30897, 16450, 4713, 1006, 4612, 1009, 8856, 4368, 1005, 9793, 1079, 3056, 9085, 5600, 1159, 1006, 1205, 1085, 2162, 2578, 1071, 2443, 3949, 1349, 1006, 1138, 9786, 1071, 2400, 3430, 1349, 1006, 3836, 1082, 168, 92, 1061, 1071, 2400, 13290, 1349, 15994, 8340, 2320, 6995, 23755, 1485, 1045, 1005, 1144, 4436, 5036, 1751, 1049, 12069, 1005, 1006, 20823, 15767, 12173, 81, 1104, 1071, 2400, 2944, 13747, 10943, 12, 11151, 3964, 1006, 3659, 1233, 3349, 1060, 30897, 16450, 1005, 1006, 1944, 1184, 5617, 1196, 1054, 4304, 1491, 18, 10652, 9160, 12332, 12625, 1114, 9328, 0, 3621, 1072, 13769, 2357, 1271, 3235, 1533, 30897, 16450, 1318, 1195, 1006, 3964, 2451, 15690, 1006, 10181, 1072, 13769, 9877, 1664, 1132, 11130, 1059, 23973, 7038, 6750, 10943, 12, 58, 1325, 1365, 3235, 1048, 1184, 5511, 1046, 1043, 14099, 5, 0, 1592, 2307, 1072, 1561, 3027, 1132, 23196, 6022, 1005, 18981, 1620, 1318, 1096, 5500, 18392, 1006, 2921, 4857, 1026, 6859, 1060, 5623, 11577, 1837, 1044, 1557, 5626, 1159, 1853, 26265, 11016, 1049, 3878, 2155, 4966, 4208, 2975, 4319, 1096, 1048, 3291, 2306, 1327, 1132, 3429, 79, 11141, 1344, 16973, 16973, 21665, 7401, 1998, 1298, 2593, 1009, 23746, 20, 5841, 1205, 21892, 2410, 1051, 1896, 8333, 1060, 1962, 10218, 15698, 1715, 2177, 1048, 3711, 1006, 18005, 8174, 12203, 3587, 1058, 1234, 2307, 1072, 1561, 3590, 159, 1094, 19884, 1114, 1198, 7504, 1324, 1114, 3922, 1060, 2348, 6596, 1136, 2339, 1006, 18005, 15954, 1054, 1831, 2269, 1715, 1066, 1441, 1038, 1447, 1411, 1953, 6628, 1797, 71, 162, 2979, 1566, 1233, 1101, 1646, 1005, 1160, 1743, 1164, 1184, 14, 71, 1184, 2519, 1005, 1043, 2444, 10472, 1068, 1026, 4174, 1565, 2656, 6581, 4966, 1159, 1006, 1807, 3364, 1060, 2779, 1160, 24507, 1665, 3282, 1206, 1160, 3780, 1463, 2089, 31293, 1962, 18398, 3386, 1026, 29443, 1048, 4088, 2533, 1046, 1118, 3179, 3192, 675, 1533, 18005, 1225, 1132, 23196, 7072, 1005, 6022, 2653, 3910, 20, 1, 2611, 2616, 3425, 1005, 15194, 3450, 1009, 1834, 1096, 1006, 6280, 1060, 8531, 1892, 1280, 1067, 2363, 1870, 1048, 9392, 1072, 3099, 1009, 7214, 1692, 1304, 9604, 6345, 175, 2271, 5855, 1533, 2451, 3904, 1211, 13233, 1044, 3439, 1009, 2739, 17741, 1005, 24282, 1680, 10952, 7425, 2778, 1508, 1043, 1006, 10638, 1009, 3794, 3742, 5425, 5779, 5425, 6044, 1005, 17087, 1187, 4209, 3482, 1104, 1157, 9191, 1463, 4320, 15537, 1060, 22080, 2271, 1006, 5342, 1049, 14679, 1100, 8859, 1009, 26990, 6475, 2094, 24737, 1112, 1005, 5110, 1009, 2225, 1229, 2289, 2453, 1060, 1712, 1624, 3392, 4195, 1068, 19351, 3770, 4355, 29873, 1054, 12460, 22310, 1126, 1006, 8531, 1892, 1280, 1067, 2363, 1014, 1325, 1927, 5272, 1157, 1043, 1006, 13496, 1009, 15194, 1006, 12503, 1005, 1026, 1680, 2593, 1187, 1456, 19139, 4116, 14716, 1130, 1044, 12751, 1060, 8531, 1892, 1280, 1067, 2363, 1870, 1289, 5358, 1299, 8285, 3748, 1044, 7640, 6262, 15251, 4159, 1009, 9684, 5103, 1118, 7216, 7, 1, 4634, 12307, 1048, 2122, 2277, 1925, 1009, 19918, 1998, 3592, 6772, 3198, 1016, 10672, 1312, 1048, 1006, 4009, 90, 1065, 1423, 1802, 72, 1408, 1164, 69, 2521, 675, 991, 987, 712, 980, 2124, 2124, 2124, 1082, 2327, 1126, 1011, 159, 4337, 2950, 14373, 1962, 1261, 1569, 6772, 3198, 1016, 6708, 8538, 3960, 10882, 37, 8384, 2971, 2041, 9949, 1043, 29277, 1009, 3863, 1005, 16403, 2983, 4617, 71, 1072, 2161, 7, 675, 0, 708, 2124, 2878, 1273, 1160, 1808, 1040, 1962, 5096, 1026, 1048, 7110, 1693, 1663, 3004, 675, 0, 988, 2124, 2124, 2124, 3093, 3430, 2944, 1839, 58, 40, 7111, 18, 8666, 1235, 10989, 5659, 1005, 5879, 28876, 10425, 7, 8305, 11756, 1123, 8638, 23033, 6923, 2606, 53, 20, 675, 0, 39, 22379, 1049, 2293, 10289, 14986, 17246, 3211, 2645, 1396, 1810, 1060, 1228, 3096, 1565, 675, 0, 9742, 4673, 26, 8352, 2008, 8305, 11756, 1205, 4414, 39, 15275, 47, 2805, 11945, 675, 0, 56, 2634, 20286, 1009, 7493, 2255, 3295, 31, 2124, 4334, 85, 1064, 26434, 1049, 18824, 7015, 11134, 15, 2124, 675, 691, 980, 2475, 3886, 30, 7484, 27, 2830, 23, 2663, 19377, 15, 2124, 675, 0, 2475, 14760, 5402, 30, 15016, 5900, 2124, 4242, 2196, 20995, 2464, 12409, 2147, 2290, 17226, 1005, 27468, 4564, 7220, 1009, 15599, 9605, 1054, 1495, 18149, 3229, 708, 19347, 1312, 1054, 7333, 4678, 15, 1009, 6282, 1006, 8733, 1271, 1782, 5207, 1726, 1578, 5207, 675, 0, 980, 2124, 2124, 2124, 2124, 2124, 3093, 1263, 3180, 14022, 5531, 1312, 3093, 13733, 1925, 3093, 4058, 1165, 1876, 3093, 83, 24914, 3691, 85, 3093, 1362, 2060, 2502, 1617, 1932, 3093, 1362, 2060, 1364, 2806, 3093, 1107, 1350, 4364, 3093, 1107, 1130, 3093, 3655, 18591, 3093, 1321, 6238, 3093, 17233, 1631, 3093, 17233, 3340, 3093, 73, 4876, 1085, 1281, 21256, 3093, 73, 4876, 2669, 1302, 12976, 3093, 1107, 20702, 1088, 3093, 72, 1182, 4307, 1398, 3093, 13733, 1925, 1061, 5531, 1140, 3093, 6041, 93, 3093, 10641, 3539, 1061, 1036, 3350, 3093, 83, 1087, 3035, 3093, 3397, 1146, 11312, 3093, 3397, 1146, 11312, 77, 9405, 8422, 1323, 2179, 1135, 1009, 25250, 1159, 2122, 10593, 1057, 1334, 6018, 1613, 6217, 1060, 16108, 1096, 6619, 8523, 4614, 9497, 75, 7110, 1225, 1493, 1048, 1274, 1930, 10558, 2348, 28403, 2572, 1038, 17823, 7111, 1072, 14584, 1009, 3938, 1184, 3867, 1060, 1224, 2573, 4883, 18, 2246, 1998, 12598, 1054, 1963, 1121, 1009, 3044, 18083, 675, 0, 615, 692, 980, 1, 1138, 4947, 1009, 2826, 1291, 1068, 1006, 5007, 22143, 1049, 26973, 1096, 3654, 1068, 1132, 10385, 1049, 1561, 1533, 1205, 4719, 46, 55, 18, 29910, 1160, 4351, 1044, 3159, 7012, 1009, 4947, 1009, 2826, 1291, 1068, 1006, 5007, 22143, 1049, 26973, 1072, 2803, 13906, 1054, 4280, 1043, 1006, 28906, 1206, 1376, 5408, 1060, 5007, 22143, 1049, 26973, 1184, 7024, 1704, 4947, 1068, 1006, 5007, 22143, 1049, 26973, 1096, 3654, 1068, 10385, 1009, 6220, 1972, 4029, 2266, 1365, 1054, 4280, 1043, 1026, 1184, 3867, 1482, 21839, 1060, 5007, 22143, 1049, 26973, 19848, 2157, 1009, 5099, 1068, 1006, 5007, 22143, 1049, 26973, 1898, 2702, 2157, 1009, 15675, 1068, 1006, 5007, 22143, 1049, 26973, 3528, 21839, 1060, 5007, 22143, 1049, 26973, 1054, 1561, 1940, 1014, 3259, 1060, 1482, 21839, 1060, 5007, 22143, 1049, 26973, 1, 8466, 2433, 1072, 2293, 1009, 3030, 1005, 1225, 3734, 1646, 22566, 3456, 22015, 1072, 2738, 1049, 8501, 2037, 11830, 17315, 2688, 4972, 5493, 1323, 1770, 2241, 1184, 4022, 7297, 25208, 7, 1084, 1096, 12307, 23114, 9528, 1225, 1044, 10683, 2072, 8101, 1005, 2369, 4907, 1048, 1006, 6293, 1620, 1184, 12019, 1511, 1026, 10920, 3812, 1040, 1044, 6530, 3838, 1005, 1493, 2768, 8635, 1766, 4101, 16944, 1294, 6242, 1493, 1322, 1124, 1783, 1005, 1118, 1989, 7065, 1927, 1556, 1707, 10373, 1024, 1356, 2444, 1044, 19140, 1680, 1009, 4236, 27709, 6530, 2612, 1048, 4038, 3205, 1048, 2569, 1048, 4038, 3144, 5139, 6368, 7, 20203, 1079, 1068, 6529, 4805, 22325, 1063, 1834, 1294, 5443, 1196, 2739, 2624, 23114, 4083, 3750, 1157, 1006, 4054, 1054, 23957, 4083, 3748, 1184, 28563, 1016, 6788, 1093, 4101, 1323, 9610, 4832, 7165, 20, 2858, 7051, 20, 14978, 1048, 1160, 2572, 1261, 1026, 26719, 14978, 1048, 2572, 1261, 10922, 4150, 1184, 1833, 1616, 1096, 1094, 3450, 4451, 1130, 1629, 17218, 1160, 1096, 1094, 3897, 1009, 2739, 9783, 13122, 1048, 2374, 3121, 1006, 1178, 1044, 2574, 4453, 1140, 28592, 1679, 2009, 17343, 1195, 1058, 1638, 4975, 1005, 1323, 6968, 1601, 20725, 1044, 2574, 1853, 8530, 19466, 1009, 3722, 1005, 12138, 18933, 1118, 1094, 1049, 156, 1154, 15063, 1005, 8760, 4559, 1533, 28436, 1357, 6992, 7, 3316, 3513, 12307, 10373, 8357, 7, 1142, 1208, 7928, 2220, 1026, 3189, 1049, 7118, 675, 712, 1, 1387, 1407, 1024, 1006, 2423, 1233, 16208, 20, 1482, 7419, 1213, 5290, 3747, 1049, 7138, 18, 2523, 1009, 12743, 1026, 11279, 1144, 2325, 9326, 6353, 1049, 4796, 5923, 1048, 1058, 15671, 80, 1412, 1114, 17735, 1005, 20972, 3540, 1048, 1495, 3004, 5036, 1006, 5267, 1072, 1784, 13906, 1132, 5663, 1219, 1049, 7204, 18, 6054, 19971, 1898, 5552, 9345, 1009, 8683, 1752, 19277, 13264, 1069, 1043, 1006, 5641, 1009, 17800, 1195, 2649, 1396, 1188, 1068, 1094, 12205, 4750, 1068, 1026, 30561, 1009, 7147, 1054, 3905, 25549, 5010, 13287, 1493, 15671, 22552, 1054, 5729, 14833, 1005, 10349, 1569, 6258, 1005, 1373, 10843, 9977, 3592, 5729, 20, 1482, 24241, 1253, 2045, 12842, 14184, 4277, 1159, 2930, 24063, 1005, 1989, 3239, 1009, 1834, 1765, 15478, 1629, 1693, 1294, 5263, 8607, 1138, 20397, 4277, 1006, 2042, 1009, 1044, 2792, 1048, 1160, 15165, 16737, 1184, 1005, 1058, 1795, 10449, 1138, 6980, 1048, 4319, 3004, 1054, 1531, 1096, 1044, 2285, 11184, 1009, 13025, 5006, 3587, 1294, 3825, 16567, 3915, 7218, 1006, 3688, 22905, 1048, 22905, 1006, 10870, 1271, 9103, 13100, 1071, 2581, 30978, 1072, 2743, 2373, 12148, 21979, 19300, 1629, 1068, 7027, 8226, 1138, 2011, 1225, 1159, 3489, 4480, 3894, 1726, 1783, 1048, 1620, 1160, 2643, 3177, 1233, 22273, 1533, 3688, 6321, 1044, 20397, 1048, 5879, 1049, 2549, 9206, 1009, 9458, 1072, 17292, 1049, 29522, 2951, 83, 2902, 1042, 2186, 2020, 1179, 19264, 4277, 4601, 1060, 5154, 1005, 1006, 3961, 1187, 5513, 1068, 16021, 5615, 1049, 16419, 1303, 1009, 9458, 1072, 12277, 1776, 2788, 3092, 1049, 2929, 7254, 12619, 1096, 2481, 9035, 1213, 4449, 1043, 6417, 1009, 1159, 5674, 1024, 1132, 9720, 2314, 25639, 1327, 1184, 27667, 1043, 1044, 2512, 1008, 6217, 1060, 16208, 32, 14471, 2952, 1175, 1005, 26042, 20, 1138, 20397, 4264, 1171, 1104, 1195, 8690, 1006, 1044, 14998, 1526, 1048, 16661, 1495, 1006, 3248, 2309, 3997, 1187, 20611, 3252, 19201, 1138, 3479, 4264, 1171, 1104, 1757, 1044, 16114, 27793, 2340, 1132, 20675, 11345, 1160, 27386, 1046, 1060, 2742, 6685, 5576, 1114, 17314, 4355, 1279, 1044, 20397, 22237, 1072, 6976, 1184, 5313, 1188, 1049, 2803, 32, 1026, 16666, 4999, 3424, 1424, 4601, 1049, 2549, 1829, 1337, 1271, 8697, 18777, 4525, 1063, 24789, 30746, 1142 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8740, 18706, 1571, 1195, 16620, 14845, 1068, 1072, 1901, 2511, 5115, 2360, 1681, 2154, 2364, 1068, 1006, 6517, 14315, 3330, 1048, 5115, 1034, 1357, 1307, 0, 1472, 1213, 3159, 1049, 23554, 76, 2732, 2098, 1631, 2191, 12883, 1079, 1213, 17764, 1118, 2156, 6236, 1831, 1159, 1403, 12574, 1009, 30753, 3314, 7429, 2697, 1157, 1118, 1178, 9563, 1060, 1588, 17795, 7160, 1009, 31923, 1048, 12206, 27037, 1007, 20695, 1663, 1054, 17640, 1511, 26371, 4243, 1633, 4703, 24753, 1005, 1846, 1054, 3303, 1068, 8727, 1705, 2137, 2037, 1114, 6406, 1009, 1094, 1318, 22796, 71, 1150, 1358, 1221, 8576, 6273, 8175, 1406, 20608, 2276, 10889, 1094, 3845, 1076, 1231, 1005, 9454, 1006, 10557, 1356, 20687, 1048, 5404, 1118, 1178, 14428, 1356, 2695, 1179, 1291, 15017, 1009, 1044, 1957, 2300, 2095, 1114, 1224, 3560, 2569, 1094, 7530, 1118, 30463, 1996, 1009, 12883, 1024, 1006, 3032, 1068, 17512, 1026, 1228, 10046, 1089, 1199, 1048, 4713, 7005, 1009, 2922, 1233, 1083, 0, 6254, 1005, 8073, 1026, 8039, 1009, 26372, 18, 1309, 1026, 1235, 7663, 1015, 1520, 2707, 1876, 1005, 1807, 19904, 1047, 1365, 1006, 2531, 2123, 1081, 3097, 5036, 1043, 1048, 1026, 1235, 24106, 1213, 17764, 4219, 1927, 1094, 14496, 1006, 2265, 2459, 1, 30038, 32, 1063, 2193, 8673, 1187, 25764, 8285, 5321, 1072, 8184, 1986, 1026, 17636, 1271, 3764, 9709, 1068, 1006, 8859, 1049, 17553, 2200, 1177, 1049, 16101, 15685, 12962, 1068, 17553, 1049, 16101, 2149, 0, 13622, 1308, 6107, 1027, 25243, 1132, 3770, 20956, 2502, 1213, 5731, 7506, 1049, 7558, 32, 19174, 1221, 14997, 1096, 6752, 1213, 5333, 1009, 17553, 1049, 16101, 1356, 7727, 52, 2645, 1218, 1188, 1060, 15393, 8237, 2769, 1565, 13486, 1060, 3861, 1049, 31549, 3555, 1, 30897, 16450, 1096, 20041, 1006, 2750, 26265, 1184, 5617, 1196, 1049, 1784, 1175, 11329, 7038, 6750, 2555, 1731, 76, 16450, 1096, 20041, 1006, 2750, 26265, 1184, 5617, 1196, 1049, 1784, 3141, 8064, 1253, 1060, 5623, 6949, 13940, 1195, 4949, 1043, 21226, 1009, 2595, 13705, 1048, 1318, 7257, 1975, 1006, 2451, 1159, 1006, 1083, 0, 1853, 1049, 4898, 1365, 1124, 26752, 1533, 30897, 2681, 1961, 1048, 1225, 1006, 18005, 1159, 4214, 4678, 1072, 3878, 1195, 20041, 1006, 2750, 26265, 1009, 23884, 1184, 5617, 1196, 1049, 5108, 2277, 1026, 13769, 10038, 2373, 8822, 5488, 22026, 11153, 2345, 83, 23851, 22248, 2401, 4324, 1060, 5623, 6949, 1146, 1802, 2505, 3608, 1657, 1060, 16622, 10943, 12, 11151, 1687, 2793, 1054, 1831, 2269, 1365, 1124, 31293, 26752, 1049, 4898, 1533, 3780, 17914, 15870, 11130, 11707, 1365, 1857, 1026, 1009, 23884, 18, 1048, 16471, 5878, 3235, 18401, 1312, 1005, 1048, 1596, 3429, 5616, 1054, 7828, 4741, 1818, 1554, 1766, 8639, 1357, 5034, 1596, 5142, 31, 1254, 2866, 6875, 3731, 5430, 19262, 1005, 9556, 1054, 2595, 3825, 6889, 1782, 12625, 1006, 30897, 16450, 4713, 1006, 4612, 1009, 8856, 4368, 1005, 9793, 1079, 3056, 9085, 5600, 1159, 1006, 1205, 1085, 2162, 2578, 1071, 2443, 3949, 1349, 1006, 1138, 9786, 1071, 2400, 3430, 1349, 1006, 3836, 1082, 168, 92, 1061, 1071, 2400, 13290, 1349, 15994, 8340, 2320, 6995, 23755, 1485, 1045, 1005, 1144, 4436, 5036, 1751, 1049, 12069, 1005, 1006, 20823, 15767, 12173, 81, 1104, 1071, 2400, 2944, 13747, 10943, 12, 11151, 3964, 1006, 3659, 1233, 3349, 1060, 30897, 16450, 1005, 1006, 1944, 1184, 5617, 1196, 1054, 4304, 1491, 18, 10652, 9160, 12332, 12625, 1114, 9328, 0, 3621, 1072, 13769, 2357, 1271, 3235, 1533, 30897, 16450, 1318, 1195, 1006, 3964, 2451, 15690, 1006, 10181, 1072, 13769, 9877, 1664, 1132, 11130, 1059, 23973, 7038, 6750, 10943, 12, 58, 1325, 1365, 3235, 1048, 1184, 5511, 1046, 1043, 14099, 5, 0, 1592, 2307, 1072, 1561, 3027, 1132, 23196, 6022, 1005, 18981, 1620, 1318, 1096, 5500, 18392, 1006, 2921, 4857, 1026, 6859, 1060, 5623, 11577, 1837, 1044, 1557, 5626, 1159, 1853, 26265, 11016, 1049, 3878, 2155, 4966, 4208, 2975, 4319, 1096, 1048, 3291, 2306, 1327, 1132, 3429, 79, 11141, 1344, 16973, 16973, 21665, 7401, 1998, 1298, 2593, 1009, 23746, 20, 5841, 1205, 21892, 2410, 1051, 1896, 8333, 1060, 1962, 10218, 15698, 1715, 2177, 1048, 3711, 1006, 18005, 8174, 12203, 3587, 1058, 1234, 2307, 1072, 1561, 3590, 159, 1094, 19884, 1114, 1198, 7504, 1324, 1114, 3922, 1060, 2348, 6596, 1136, 2339, 1006, 18005, 15954, 1054, 1831, 2269, 1715, 1066, 1441, 1038, 1447, 1411, 1953, 6628, 1797, 71, 162, 2979, 1566, 1233, 1101, 1646, 1005, 1160, 1743, 1164, 1184, 14, 71, 1184, 2519, 1005, 1043, 2444, 10472, 1068, 1026, 4174, 1565, 2656, 6581, 4966, 1159, 1006, 1807, 3364, 1060, 2779, 1160, 24507, 1665, 3282, 1206, 1160, 3780, 1463, 2089, 31293, 1962, 18398, 3386, 1026, 29443, 1048, 4088, 2533, 1046, 1118, 3179, 3192, 675, 1533, 18005, 1225, 1132, 23196, 7072, 1005, 6022, 2653, 3910, 20, 1, 2611, 2616, 3425, 1005, 15194, 3450, 1009, 1834, 1096, 1006, 6280, 1060, 8531, 1892, 1280, 1067, 2363, 1870, 1048, 9392, 1072, 3099, 1009, 7214, 1692, 1304, 9604, 6345, 175, 2271, 5855, 1533, 2451, 3904, 1211, 13233, 1044, 3439, 1009, 2739, 17741, 1005, 24282, 1680, 10952, 7425, 2778, 1508, 1043, 1006, 10638, 1009, 3794, 3742, 5425, 5779, 5425, 6044, 1005, 17087, 1187, 4209, 3482, 1104, 1157, 9191, 1463, 4320, 15537, 1060, 22080, 2271, 1006, 5342, 1049, 14679, 1100, 8859, 1009, 26990, 6475, 2094, 24737, 1112, 1005, 5110, 1009, 2225, 1229, 2289, 2453, 1060, 1712, 1624, 3392, 4195, 1068, 19351, 3770, 4355, 29873, 1054, 12460, 22310, 1126, 1006, 8531, 1892, 1280, 1067, 2363, 1014, 1325, 1927, 5272, 1157, 1043, 1006, 13496, 1009, 15194, 1006, 12503, 1005, 1026, 1680, 2593, 1187, 1456, 19139, 4116, 14716, 1130, 1044, 12751, 1060, 8531, 1892, 1280, 1067, 2363, 1870, 1289, 5358, 1299, 8285, 3748, 1044, 7640, 6262, 15251, 4159, 1009, 9684, 5103, 1118, 7216, 7, 1, 4634, 12307, 1048, 2122, 2277, 1925, 1009, 19918, 1998, 3592, 6772, 3198, 1016, 10672, 1312, 1048, 1006, 4009, 90, 1065, 1423, 1802, 72, 1408, 1164, 69, 2521, 675, 991, 987, 712, 980, 2124, 2124, 2124, 1082, 2327, 1126, 1011, 159, 4337, 2950, 14373, 1962, 1261, 1569, 6772, 3198, 1016, 6708, 8538, 3960, 10882, 37, 8384, 2971, 2041, 9949, 1043, 29277, 1009, 3863, 1005, 16403, 2983, 4617, 71, 1072, 2161, 7, 675, 0, 708, 2124, 2878, 1273, 1160, 1808, 1040, 1962, 5096, 1026, 1048, 7110, 1693, 1663, 3004, 675, 0, 988, 2124, 2124, 2124, 3093, 3430, 2944, 1839, 58, 40, 7111, 18, 8666, 1235, 10989, 5659, 1005, 5879, 28876, 10425, 7, 8305, 11756, 1123, 8638, 23033, 6923, 2606, 53, 20, 675, 0, 39, 22379, 1049, 2293, 10289, 14986, 17246, 3211, 2645, 1396, 1810, 1060, 1228, 3096, 1565, 675, 0, 9742, 4673, 26, 8352, 2008, 8305, 11756, 1205, 4414, 39, 15275, 47, 2805, 11945, 675, 0, 56, 2634, 20286, 1009, 7493, 2255, 3295, 31, 2124, 4334, 85, 1064, 26434, 1049, 18824, 7015, 11134, 15, 2124, 675, 691, 980, 2475, 3886, 30, 7484, 27, 2830, 23, 2663, 19377, 15, 2124, 675, 0, 2475, 14760, 5402, 30, 15016, 5900, 2124, 4242, 2196, 20995, 2464, 12409, 2147, 2290, 17226, 1005, 27468, 4564, 7220, 1009, 15599, 9605, 1054, 1495, 18149, 3229, 708, 19347, 1312, 1054, 7333, 4678, 15, 1009, 6282, 1006, 8733, 1271, 1782, 5207, 1726, 1578, 5207, 675, 0, 980, 2124, 2124, 2124, 2124, 2124, 3093, 1263, 3180, 14022, 5531, 1312, 3093, 13733, 1925, 3093, 4058, 1165, 1876, 3093, 83, 24914, 3691, 85, 3093, 1362, 2060, 2502, 1617, 1932, 3093, 1362, 2060, 1364, 2806, 3093, 1107, 1350, 4364, 3093, 1107, 1130, 3093, 3655, 18591, 3093, 1321, 6238, 3093, 17233, 1631, 3093, 17233, 3340, 3093, 73, 4876, 1085, 1281, 21256, 3093, 73, 4876, 2669, 1302, 12976, 3093, 1107, 20702, 1088, 3093, 72, 1182, 4307, 1398, 3093, 13733, 1925, 1061, 5531, 1140, 3093, 6041, 93, 3093, 10641, 3539, 1061, 1036, 3350, 3093, 83, 1087, 3035, 3093, 3397, 1146, 11312, 3093, 3397, 1146, 11312, 77, 9405, 8422, 1323, 2179, 1135, 1009, 25250, 1159, 2122, 10593, 1057, 1334, 6018, 1613, 6217, 1060, 16108, 1096, 6619, 8523, 4614, 9497, 75, 7110, 1225, 1493, 1048, 1274, 1930, 10558, 2348, 28403, 2572, 1038, 17823, 7111, 1072, 14584, 1009, 3938, 1184, 3867, 1060, 1224, 2573, 4883, 18, 2246, 1998, 12598, 1054, 1963, 1121, 1009, 3044, 18083, 675, 0, 615, 692, 980, 1, 1138, 4947, 1009, 2826, 1291, 1068, 1006, 5007, 22143, 1049, 26973, 1096, 3654, 1068, 1132, 10385, 1049, 1561, 1533, 1205, 4719, 46, 55, 18, 29910, 1160, 4351, 1044, 3159, 7012, 1009, 4947, 1009, 2826, 1291, 1068, 1006, 5007, 22143, 1049, 26973, 1072, 2803, 13906, 1054, 4280, 1043, 1006, 28906, 1206, 1376, 5408, 1060, 5007, 22143, 1049, 26973, 1184, 7024, 1704, 4947, 1068, 1006, 5007, 22143, 1049, 26973, 1096, 3654, 1068, 10385, 1009, 6220, 1972, 4029, 2266, 1365, 1054, 4280, 1043, 1026, 1184, 3867, 1482, 21839, 1060, 5007, 22143, 1049, 26973, 19848, 2157, 1009, 5099, 1068, 1006, 5007, 22143, 1049, 26973, 1898, 2702, 2157, 1009, 15675, 1068, 1006, 5007, 22143, 1049, 26973, 3528, 21839, 1060, 5007, 22143, 1049, 26973, 1054, 1561, 1940, 1014, 3259, 1060, 1482, 21839, 1060, 5007, 22143, 1049, 26973, 1, 8466, 2433, 1072, 2293, 1009, 3030, 1005, 1225, 3734, 1646, 22566, 3456, 22015, 1072, 2738, 1049, 8501, 2037, 11830, 17315, 2688, 4972, 5493, 1323, 1770, 2241, 1184, 4022, 7297, 25208, 7, 1084, 1096, 12307, 23114, 9528, 1225, 1044, 10683, 2072, 8101, 1005, 2369, 4907, 1048, 1006, 6293, 1620, 1184, 12019, 1511, 1026, 10920, 3812, 1040, 1044, 6530, 3838, 1005, 1493, 2768, 8635, 1766, 4101, 16944, 1294, 6242, 1493, 1322, 1124, 1783, 1005, 1118, 1989, 7065, 1927, 1556, 1707, 10373, 1024, 1356, 2444, 1044, 19140, 1680, 1009, 4236, 27709, 6530, 2612, 1048, 4038, 3205, 1048, 2569, 1048, 4038, 3144, 5139, 6368, 7, 20203, 1079, 1068, 6529, 4805, 22325, 1063, 1834, 1294, 5443, 1196, 2739, 2624, 23114, 4083, 3750, 1157, 1006, 4054, 1054, 23957, 4083, 3748, 1184, 28563, 1016, 6788, 1093, 4101, 1323, 9610, 4832, 7165, 20, 2858, 7051, 20, 14978, 1048, 1160, 2572, 1261, 1026, 26719, 14978, 1048, 2572, 1261, 10922, 4150, 1184, 1833, 1616, 1096, 1094, 3450, 4451, 1130, 1629, 17218, 1160, 1096, 1094, 3897, 1009, 2739, 9783, 13122, 1048, 2374, 3121, 1006, 1178, 1044, 2574, 4453, 1140, 28592, 1679, 2009, 17343, 1195, 1058, 1638, 4975, 1005, 1323, 6968, 1601, 20725, 1044, 2574, 1853, 8530, 19466, 1009, 3722, 1005, 12138, 18933, 1118, 1094, 1049, 156, 1154, 15063, 1005, 8760, 4559, 1533, 28436, 1357, 6992, 7, 3316, 3513, 12307, 10373, 8357, 7, 1142, 1208, 7928, 2220, 1026, 3189, 1049, 7118, 675, 712, 1, 1387, 1407, 1024, 1006, 2423, 1233, 16208, 20, 1482, 7419, 1213, 5290, 3747, 1049, 7138, 18, 2523, 1009, 12743, 1026, 11279, 1144, 2325, 9326, 6353, 1049, 4796, 5923, 1048, 1058, 15671, 80, 1412, 1114, 17735, 1005, 20972, 3540, 1048, 1495, 3004, 5036, 1006, 5267, 1072, 1784, 13906, 1132, 5663, 1219, 1049, 7204, 18, 6054, 19971, 1898, 5552, 9345, 1009, 8683, 1752, 19277, 13264, 1069, 1043, 1006, 5641, 1009, 17800, 1195, 2649, 1396, 1188, 1068, 1094, 12205, 4750, 1068, 1026, 30561, 1009, 7147, 1054, 3905, 25549, 5010, 13287, 1493, 15671, 22552, 1054, 5729, 14833, 1005, 10349, 1569, 6258, 1005, 1373, 10843, 9977, 3592, 5729, 20, 1482, 24241, 1253, 2045, 12842, 14184, 4277, 1159, 2930, 24063, 1005, 1989, 3239, 1009, 1834, 1765, 15478, 1629, 1693, 1294, 5263, 8607, 1138, 20397, 4277, 1006, 2042, 1009, 1044, 2792, 1048, 1160, 15165, 16737, 1184, 1005, 1058, 1795, 10449, 1138, 6980, 1048, 4319, 3004, 1054, 1531, 1096, 1044, 2285, 11184, 1009, 13025, 5006, 3587, 1294, 3825, 16567, 3915, 7218, 1006, 3688, 22905, 1048, 22905, 1006, 10870, 1271, 9103, 13100, 1071, 2581, 30978, 1072, 2743, 2373, 12148, 21979, 19300, 1629, 1068, 7027, 8226, 1138, 2011, 1225, 1159, 3489, 4480, 3894, 1726, 1783, 1048, 1620, 1160, 2643, 3177, 1233, 22273, 1533, 3688, 6321, 1044, 20397, 1048, 5879, 1049, 2549, 9206, 1009, 9458, 1072, 17292, 1049, 29522, 2951, 83, 2902, 1042, 2186, 2020, 1179, 19264, 4277, 4601, 1060, 5154, 1005, 1006, 3961, 1187, 5513, 1068, 16021, 5615, 1049, 16419, 1303, 1009, 9458, 1072, 12277, 1776, 2788, 3092, 1049, 2929, 7254, 12619, 1096, 2481, 9035, 1213, 4449, 1043, 6417, 1009, 1159, 5674, 1024, 1132, 9720, 2314, 25639, 1327, 1184, 27667, 1043, 1044, 2512, 1008, 6217, 1060, 16208, 32, 14471, 2952, 1175, 1005, 26042, 20, 1138, 20397, 4264, 1171, 1104, 1195, 8690, 1006, 1044, 14998, 1526, 1048, 16661, 1495, 1006, 3248, 2309, 3997, 1187, 20611, 3252, 19201, 1138, 3479, 4264, 1171, 1104, 1757, 1044, 16114, 27793, 2340, 1132, 20675, 11345, 1160, 27386, 1046, 1060, 2742, 6685, 5576, 1114, 17314, 4355, 1279, 1044, 20397, 22237, 1072, 6976, 1184, 5313, 1188, 1049, 2803, 32, 1026, 16666, 4999, 3424, 1424, 4601, 1049, 2549, 1829, 1337, 1271, 8697, 18777, 4525, 1063, 24789, 30746, 1142 ]

[ 19167, 28979, 14702, 31, 620, 31206, 11801, 3109, 30952, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 3024, 3502, 9111, 1024, 2515, 22922, 16, 3024, 3452, 1152, 2314, 19269, 22220, 1152, 5071, 9833, 18815, 3487, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 9250, 18815, 3665, 18073, 26, 620, 22254, 1152, 18688, 1091, 1015, 30683, 1152, 3531, 18815, 3430, 18073, 27, 620, 22424, 11801, 28717, 1185, 1692, 1152, 4994, 18815, 1442, 18073, 29, 620, 22022, 17008, 57, 21313, 1065, 1152, 3413, 18815, 1404, 18073, 30, 19, 11801, 2356, 77, 23525, 4314, 4019, 1152, 4406, 1232, 2702, 2157, 7531, 17611, 13166, 2576, 7012, 1152, 47, 4050, 78, 1549, 1015, 1965, 85, 18354, 1152, 8176, 1009, 9407, 18815, 25, 12344, 3369, 1009, 9407, 10071, 75, 1075, 4358, 4590, 18831, 1152, 1029, 1914, 1152, 2081, 8360, 1025, 10024, 7360, 1799, 1588, 15, 19271, 11075, 1010, 1346, 26779, 1009, 2666, 1152, 1285, 1047, 21681, 2961, 1291, 20201, 1152, 2702, 2157, 1049, 4346, 21280, 19269, 22220, 3633, 11801, 2356, 77, 23525, 4314, 4019, 22533, 1152, 84, 10765, 8802, 23856, 9111, 1024, 2515, 1060, 14565, 25131, 14702, 23, 21603, 26, 1152, 2545, 53, 1082, 59, 3776, 39, 59, 62, 27158, 14702, 26, 21603, 31, 12344, 1018, 1082, 2140, 19167, 28979, 14702, 31, 620, 31206, 11801, 3109, 30952, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 3024, 3502, 9111, 1024, 2515, 22922, 16, 3024, 3452, 1152, 2314, 19269, 22220, 1152, 5071, 9833, 18815, 3487, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 9250, 18815, 3665, 18073, 26, 620, 22254, 1152, 18688, 1091, 1015, 30683, 1152, 3531, 18815, 3430, 18073, 27, 620, 22424, 11801, 28717, 1185, 1692, 1152, 4994, 18815, 1442, 18073, 29, 620, 22022, 17008, 57, 21313, 1065, 1152, 3413, 18815, 1404, 18073, 30, 19, 11801, 2356, 77, 23525, 4314, 4019, 1152, 4406, 1232, 6170, 4050, 30350, 1067, 1965, 85, 1096, 1044, 4530, 1009, 3246, 3467, 5976, 1048, 2064, 1076, 1159, 31241, 2961, 1291, 1009, 17821, 77, 23525, 4314, 4019, 1005, 5810, 1054, 4247, 1075, 1056, 7053, 1225, 3646, 8360, 83, 1009, 4464, 1005, 5471, 1026, 2285, 1204, 1068, 1224, 2759, 3633, 3172, 7717, 1224, 3560, 1463, 5908, 1009, 5162, 1009, 1063, 1135, 1082, 2140, 19167, 1005, 11584, 1082, 2140, 19167, 1996, 1009, 1058, 5525, 1068, 1106, 3109, 1054, 16821, 1551, 4127, 1006, 7127, 1264, 9239, 1356, 2882, 22285, 3889, 1400, 3748, 23016, 11411, 1890, 1989, 3041, 3172, 2276, 9239, 1356, 2614, 1091, 10412, 11880, 31344, 1185, 1692, 1005, 1163, 57, 21313, 1065, 1996, 1009, 21641, 1054, 17821, 77, 23525, 4314, 4019, 1054, 15248, 1, 4714, 7153, 1044, 2631, 2269, 1068, 16007, 1024, 1072, 1419, 3320, 8197, 1327, 2088, 1187, 3460, 6453, 1068, 16007, 1024, 1072, 8730, 1110, 2023, 7341, 2769, 1009, 1941, 1010, 1040, 4541, 11541, 18143, 7341, 2769, 7598, 1139, 24706, 4143, 1685, 19718, 7341, 2769, 4919, 27379, 4691, 2260, 18, 8063, 21987, 7341, 2769, 5387, 1411, 2613, 1699, 24267, 7341, 2769, 1009, 1941, 27495, 1042, 8920, 23139, 1104, 1253, 29051, 7341, 2769, 10322, 3217, 95, 3529, 29014, 31788, 7341, 2769, 1009, 2079, 15102, 28399, 78, 5, 3218, 7341, 2769, 14432, 2274, 7000, 5, 3537, 7138, 95, 28510, 9585, 24867, 24184, 5, 8997, 7341, 2769, 1009, 17728, 1067, 1263, 10709, 28510, 1678, 31632, 1005, 11440, 1049, 3826, 675, 2, 1257, 14943, 1327, 2088, 3480, 1206, 3638, 9310, 1048, 13243, 3530, 18865, 22828, 1068, 16007, 1024, 1009, 8730, 3900, 2023, 7341, 2769, 1009, 1941, 1010, 1040, 1459, 1175, 4494, 2166, 6778, 2166, 27201, 2032, 1005, 9651, 1060, 1834, 14210, 18143, 7341, 2769, 7598, 1139, 3448, 1175, 1983, 1407, 3273, 28510, 1106, 2145, 1253, 1005, 27343, 1639, 4275, 1159, 22883, 1416, 1005, 1703, 1034, 1295, 19718, 7341, 2769, 4919, 2958, 1175, 1983, 1407, 3273, 9684, 28186, 1416, 1005, 6048, 22366, 1392, 21987, 5387, 1034, 9585, 8831, 1175, 1983, 1407, 3273, 28464, 1005, 3638, 1009, 9829, 24267, 7341, 2769, 1009, 1941, 27495, 25239, 1175, 4494, 2166, 9651, 1060, 1834, 9600, 6495, 3480, 4606, 1252, 8711, 1391, 1159, 1086, 159, 2571, 1074, 1005, 6768, 6131, 1102, 29051, 7341, 2769, 1049, 10322, 3217, 26433, 1175, 4494, 3273, 1543, 4828, 1253, 1005, 6048, 22366, 1392, 31788, 7341, 2769, 1009, 2079, 1129, 1175, 1983, 1407, 3273, 27766, 1005, 3638, 1639, 4275, 1159, 8024, 2176, 1005, 1703, 1034, 1295, 5, 3218, 7341, 2769, 23553, 1175, 4494, 3273, 9651, 1060, 1834, 14210, 1005, 3638, 1009, 9829, 5, 3537, 7138, 95, 28510, 9585, 8831, 1175, 1983, 1407, 3273, 9684, 28186, 1416, 1005, 6048, 22366, 1392, 5, 8997, 7341, 2769, 17728, 1067, 1263, 10709, 4423, 71, 2914, 1175, 4494, 3273, 9651, 1060, 1834, 14210, 1005, 4290, 3774, 5345, 1, 2760, 4714, 4619, 2837, 1044, 15799, 9601, 1043, 1044, 1842, 9612, 2328, 3615, 2301, 2311, 1046, 11488, 24209, 13153, 2863, 1096, 1048, 1857, 1160, 1826, 9973, 1166, 26963, 22853, 5851, 1096, 1006, 2596, 6672, 1009, 1663, 10494, 2240, 2013, 1616, 1048, 1503, 2449, 1495, 2364, 32, 2674, 1697, 1283, 1522, 14160, 1283, 1951, 675, 675, 675, 1283, 1522, 24425, 20, 6351, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 1283, 1522, 15810, 2036, 4402, 7040, 1207, 7808, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 6351, 1131, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 24425, 3375, 1078, 9567, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 1283, 1522, 1502, 9567, 2036, 4402, 7040, 18214, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 18313, 2036, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 3289, 1283, 1951, 675, 675, 675, 1283, 1522, 3289, 3690, 7179, 1283, 1951, 675, 675, 675, 675, 675, 1283, 1522, 1119, 8803, 1253, 12577, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1004, 8803, 1014, 4416, 12421, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1119, 8803, 1253, 18097, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 9536, 8803, 1253, 13732, 1021, 1246, 1150, 31067, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 1253, 5528, 1051, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 24626, 1009, 16962, 1246, 1150, 11052, 6080, 1148, 8, 27058, 1246, 21001, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 1253, 5528, 1051, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 13265, 11287, 1909, 11615, 2461, 11383, 1246, 1150, 2414, 30, 8, 1123, 2980, 47, 4826, 62, 1246, 1150, 30, 8, 1123, 2980, 47, 4826, 63, 1246, 1150, 30, 12817, 12955, 1276, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 1909, 11615, 2461, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 1253, 5528, 1051, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 24626, 1009, 16962, 1246, 26287, 1164, 8, 27058, 1246, 1150, 1999, 27, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 1253, 5528, 1051, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 27494, 1909, 18389, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 27494, 76, 1706, 1013, 10387, 13666, 1246, 1150, 2471, 26, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 3311, 1064, 11392, 1259, 3365, 1246, 25788, 2084, 2944, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 11998, 76, 1706, 1013, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 27494, 76, 1706, 1013, 10387, 13666, 1246, 1150, 2471, 2944, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 3311, 1064, 11392, 1259, 3365, 1246, 25788, 2084, 26, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 11998, 76, 1706, 1013, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 12584, 1909, 18389, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 1909, 11615, 2461, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 42, 8803, 1253, 18097, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 74, 8803, 1253, 4416, 12421, 74, 8803, 1253, 25490, 1931, 675, 675, 675, 675, 675, 1283, 2508, 42, 8803, 1253, 12577, 1283, 1951, 675, 675, 675, 1283, 1522, 2135, 1053, 12421, 89, 7179, 25490, 1931, 675, 675, 675, 1283, 2508, 22279, 1283, 1951, 675, 1283, 2508, 16841, 1283, 7944, 2771, 22357, 1250, 14738, 1094, 1319, 11287, 1114, 2921, 14160, 1043, 1044, 2311, 28552, 1026, 1842, 1160, 1325, 3822, 2195, 1905, 1114, 1319, 11287, 18, 2246, 1124, 17433, 1009, 1752, 2618, 1048, 1299, 1169, 2178, 1327, 3711, 17433, 2453, 1049, 3182, 15637, 1069, 1068, 11249, 7405, 14458, 1048, 1857, 1760, 2241, 2593, 1054, 1702, 2446, 1009, 28462, 1206, 14072, 11133, 1166, 1068, 2997, 1006, 1857, 1026, 1592, 2380, 1009, 17433, 2338, 2417, 1009, 28462, 1005, 1026, 3439, 1327, 11133, 5783, 1309, 5300, 16878, 1048, 1235, 3284, 3241, 1026, 1592, 13661, 1005, 2549, 9206, 1005, 1026, 9624, 1005, 1026, 13661, 1327, 2625, 1068, 1026, 15799, 9601, 18100, 2549, 9206, 15, 1005, 1026, 1842, 9612, 18100, 13661, 1565, 7405, 1138, 3872, 11133, 1348, 1048, 5420, 5061, 1009, 17433, 7274, 1005, 4279, 2625, 6598, 2130, 1283, 5667, 17193, 1872, 1068, 1456, 3948, 1048, 1503, 11879, 2808, 1195, 1026, 2417, 1009, 10516, 13162, 1766, 1173, 15803, 1009, 4024, 1048, 15829, 1068, 2837, 1044, 3439, 1118, 2191, 1009, 1224, 4336, 1009, 1858, 1160, 10369, 8347, 1068, 2837, 1094, 27494, 1909, 11615, 5863, 1009, 3756, 1048, 1664, 1760, 2241, 1178, 6598, 1402, 15358, 20, 20143, 2527, 1325, 1044, 2326, 1842, 3642, 50, 12071, 1069, 1048, 1155, 1328, 1026, 15799, 9601, 1005, 1026, 7139, 1842, 6565, 5983, 1697, 1283, 1522, 14160, 1283, 1951, 675, 675, 675, 1283, 1522, 24425, 20, 6351, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 15810, 2036, 4402, 7040, 1207, 7808, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 6351, 1131, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 24425, 3375, 1078, 9567, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1502, 9567, 2036, 4402, 7040, 18214, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 18313, 2036, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 3289, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 3289, 3690, 7179, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1119, 8803, 1253, 12577, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1004, 8803, 1014, 4416, 12421, 74, 8803, 1253, 1283 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 19167, 28979, 14702, 31, 620, 31206, 11801, 3109, 30952, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 3024, 3502, 9111, 1024, 2515, 22922, 16, 3024, 3452, 1152, 2314, 19269, 22220, 1152, 5071, 9833, 18815, 3487, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 9250, 18815, 3665, 18073, 26, 620, 22254, 1152, 18688, 1091, 1015, 30683, 1152, 3531, 18815, 3430, 18073, 27, 620, 22424, 11801, 28717, 1185, 1692, 1152, 4994, 18815, 1442, 18073, 29, 620, 22022, 17008, 57, 21313, 1065, 1152, 3413, 18815, 1404, 18073, 30, 19, 11801, 2356, 77, 23525, 4314, 4019, 1152, 4406, 1232, 2702, 2157, 7531, 17611, 13166, 2576, 7012, 1152, 47, 4050, 78, 1549, 1015, 1965, 85, 18354, 1152, 8176, 1009, 9407, 18815, 25, 12344, 3369, 1009, 9407, 10071, 75, 1075, 4358, 4590, 18831, 1152, 1029, 1914, 1152, 2081, 8360, 1025, 10024, 7360, 1799, 1588, 15, 19271, 11075, 1010, 1346, 26779, 1009, 2666, 1152, 1285, 1047, 21681, 2961, 1291, 20201, 1152, 2702, 2157, 1049, 4346, 21280, 19269, 22220, 3633, 11801, 2356, 77, 23525, 4314, 4019, 22533, 1152, 84, 10765, 8802, 23856, 9111, 1024, 2515, 1060, 14565, 25131, 14702, 23, 21603, 26, 1152, 2545, 53, 1082, 59, 3776, 39, 59, 62, 27158, 14702, 26, 21603, 31, 12344, 1018, 1082, 2140, 19167, 28979, 14702, 31, 620, 31206, 11801, 3109, 30952, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 3024, 3502, 9111, 1024, 2515, 22922, 16, 3024, 3452, 1152, 2314, 19269, 22220, 1152, 5071, 9833, 18815, 3487, 18073, 24958, 26300, 1152, 5285, 22285, 3889, 1018, 9250, 18815, 3665, 18073, 26, 620, 22254, 1152, 18688, 1091, 1015, 30683, 1152, 3531, 18815, 3430, 18073, 27, 620, 22424, 11801, 28717, 1185, 1692, 1152, 4994, 18815, 1442, 18073, 29, 620, 22022, 17008, 57, 21313, 1065, 1152, 3413, 18815, 1404, 18073, 30, 19, 11801, 2356, 77, 23525, 4314, 4019, 1152, 4406, 1232, 6170, 4050, 30350, 1067, 1965, 85, 1096, 1044, 4530, 1009, 3246, 3467, 5976, 1048, 2064, 1076, 1159, 31241, 2961, 1291, 1009, 17821, 77, 23525, 4314, 4019, 1005, 5810, 1054, 4247, 1075, 1056, 7053, 1225, 3646, 8360, 83, 1009, 4464, 1005, 5471, 1026, 2285, 1204, 1068, 1224, 2759, 3633, 3172, 7717, 1224, 3560, 1463, 5908, 1009, 5162, 1009, 1063, 1135, 1082, 2140, 19167, 1005, 11584, 1082, 2140, 19167, 1996, 1009, 1058, 5525, 1068, 1106, 3109, 1054, 16821, 1551, 4127, 1006, 7127, 1264, 9239, 1356, 2882, 22285, 3889, 1400, 3748, 23016, 11411, 1890, 1989, 3041, 3172, 2276, 9239, 1356, 2614, 1091, 10412, 11880, 31344, 1185, 1692, 1005, 1163, 57, 21313, 1065, 1996, 1009, 21641, 1054, 17821, 77, 23525, 4314, 4019, 1054, 15248, 1, 4714, 7153, 1044, 2631, 2269, 1068, 16007, 1024, 1072, 1419, 3320, 8197, 1327, 2088, 1187, 3460, 6453, 1068, 16007, 1024, 1072, 8730, 1110, 2023, 7341, 2769, 1009, 1941, 1010, 1040, 4541, 11541, 18143, 7341, 2769, 7598, 1139, 24706, 4143, 1685, 19718, 7341, 2769, 4919, 27379, 4691, 2260, 18, 8063, 21987, 7341, 2769, 5387, 1411, 2613, 1699, 24267, 7341, 2769, 1009, 1941, 27495, 1042, 8920, 23139, 1104, 1253, 29051, 7341, 2769, 10322, 3217, 95, 3529, 29014, 31788, 7341, 2769, 1009, 2079, 15102, 28399, 78, 5, 3218, 7341, 2769, 14432, 2274, 7000, 5, 3537, 7138, 95, 28510, 9585, 24867, 24184, 5, 8997, 7341, 2769, 1009, 17728, 1067, 1263, 10709, 28510, 1678, 31632, 1005, 11440, 1049, 3826, 675, 2, 1257, 14943, 1327, 2088, 3480, 1206, 3638, 9310, 1048, 13243, 3530, 18865, 22828, 1068, 16007, 1024, 1009, 8730, 3900, 2023, 7341, 2769, 1009, 1941, 1010, 1040, 1459, 1175, 4494, 2166, 6778, 2166, 27201, 2032, 1005, 9651, 1060, 1834, 14210, 18143, 7341, 2769, 7598, 1139, 3448, 1175, 1983, 1407, 3273, 28510, 1106, 2145, 1253, 1005, 27343, 1639, 4275, 1159, 22883, 1416, 1005, 1703, 1034, 1295, 19718, 7341, 2769, 4919, 2958, 1175, 1983, 1407, 3273, 9684, 28186, 1416, 1005, 6048, 22366, 1392, 21987, 5387, 1034, 9585, 8831, 1175, 1983, 1407, 3273, 28464, 1005, 3638, 1009, 9829, 24267, 7341, 2769, 1009, 1941, 27495, 25239, 1175, 4494, 2166, 9651, 1060, 1834, 9600, 6495, 3480, 4606, 1252, 8711, 1391, 1159, 1086, 159, 2571, 1074, 1005, 6768, 6131, 1102, 29051, 7341, 2769, 1049, 10322, 3217, 26433, 1175, 4494, 3273, 1543, 4828, 1253, 1005, 6048, 22366, 1392, 31788, 7341, 2769, 1009, 2079, 1129, 1175, 1983, 1407, 3273, 27766, 1005, 3638, 1639, 4275, 1159, 8024, 2176, 1005, 1703, 1034, 1295, 5, 3218, 7341, 2769, 23553, 1175, 4494, 3273, 9651, 1060, 1834, 14210, 1005, 3638, 1009, 9829, 5, 3537, 7138, 95, 28510, 9585, 8831, 1175, 1983, 1407, 3273, 9684, 28186, 1416, 1005, 6048, 22366, 1392, 5, 8997, 7341, 2769, 17728, 1067, 1263, 10709, 4423, 71, 2914, 1175, 4494, 3273, 9651, 1060, 1834, 14210, 1005, 4290, 3774, 5345, 1, 2760, 4714, 4619, 2837, 1044, 15799, 9601, 1043, 1044, 1842, 9612, 2328, 3615, 2301, 2311, 1046, 11488, 24209, 13153, 2863, 1096, 1048, 1857, 1160, 1826, 9973, 1166, 26963, 22853, 5851, 1096, 1006, 2596, 6672, 1009, 1663, 10494, 2240, 2013, 1616, 1048, 1503, 2449, 1495, 2364, 32, 2674, 1697, 1283, 1522, 14160, 1283, 1951, 675, 675, 675, 1283, 1522, 24425, 20, 6351, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 1283, 1522, 15810, 2036, 4402, 7040, 1207, 7808, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 6351, 1131, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 24425, 3375, 1078, 9567, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 1283, 1522, 1502, 9567, 2036, 4402, 7040, 18214, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 18313, 2036, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 3289, 1283, 1951, 675, 675, 675, 1283, 1522, 3289, 3690, 7179, 1283, 1951, 675, 675, 675, 675, 675, 1283, 1522, 1119, 8803, 1253, 12577, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1004, 8803, 1014, 4416, 12421, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1119, 8803, 1253, 18097, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 9536, 8803, 1253, 13732, 1021, 1246, 1150, 31067, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 1253, 5528, 1051, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 24626, 1009, 16962, 1246, 1150, 11052, 6080, 1148, 8, 27058, 1246, 21001, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 1253, 5528, 1051, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 13265, 11287, 1909, 11615, 2461, 11383, 1246, 1150, 2414, 30, 8, 1123, 2980, 47, 4826, 62, 1246, 1150, 30, 8, 1123, 2980, 47, 4826, 63, 1246, 1150, 30, 12817, 12955, 1276, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 1909, 11615, 2461, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 1253, 5528, 1051, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 24626, 1009, 16962, 1246, 26287, 1164, 8, 27058, 1246, 1150, 1999, 27, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 1253, 5528, 1051, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 4606, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 27494, 1909, 18389, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 27494, 76, 1706, 1013, 10387, 13666, 1246, 1150, 2471, 26, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 3311, 1064, 11392, 1259, 3365, 1246, 25788, 2084, 2944, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 11998, 76, 1706, 1013, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 27494, 76, 1706, 1013, 10387, 13666, 1246, 1150, 2471, 2944, 8, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 3311, 1064, 11392, 1259, 3365, 1246, 25788, 2084, 26, 12817, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 11998, 76, 1706, 1013, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 12584, 1909, 18389, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 1909, 11615, 2461, 74, 8803, 8905, 1909, 11615, 2461, 25490, 1931, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 1909, 11615, 2461, 74, 8803, 1253, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 2508, 42, 8803, 1253, 18097, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 2135, 74, 8803, 1253, 4416, 12421, 74, 8803, 1253, 25490, 1931, 675, 675, 675, 675, 675, 1283, 2508, 42, 8803, 1253, 12577, 1283, 1951, 675, 675, 675, 1283, 1522, 2135, 1053, 12421, 89, 7179, 25490, 1931, 675, 675, 675, 1283, 2508, 22279, 1283, 1951, 675, 1283, 2508, 16841, 1283, 7944, 2771, 22357, 1250, 14738, 1094, 1319, 11287, 1114, 2921, 14160, 1043, 1044, 2311, 28552, 1026, 1842, 1160, 1325, 3822, 2195, 1905, 1114, 1319, 11287, 18, 2246, 1124, 17433, 1009, 1752, 2618, 1048, 1299, 1169, 2178, 1327, 3711, 17433, 2453, 1049, 3182, 15637, 1069, 1068, 11249, 7405, 14458, 1048, 1857, 1760, 2241, 2593, 1054, 1702, 2446, 1009, 28462, 1206, 14072, 11133, 1166, 1068, 2997, 1006, 1857, 1026, 1592, 2380, 1009, 17433, 2338, 2417, 1009, 28462, 1005, 1026, 3439, 1327, 11133, 5783, 1309, 5300, 16878, 1048, 1235, 3284, 3241, 1026, 1592, 13661, 1005, 2549, 9206, 1005, 1026, 9624, 1005, 1026, 13661, 1327, 2625, 1068, 1026, 15799, 9601, 18100, 2549, 9206, 15, 1005, 1026, 1842, 9612, 18100, 13661, 1565, 7405, 1138, 3872, 11133, 1348, 1048, 5420, 5061, 1009, 17433, 7274, 1005, 4279, 2625, 6598, 2130, 1283, 5667, 17193, 1872, 1068, 1456, 3948, 1048, 1503, 11879, 2808, 1195, 1026, 2417, 1009, 10516, 13162, 1766, 1173, 15803, 1009, 4024, 1048, 15829, 1068, 2837, 1044, 3439, 1118, 2191, 1009, 1224, 4336, 1009, 1858, 1160, 10369, 8347, 1068, 2837, 1094, 27494, 1909, 11615, 5863, 1009, 3756, 1048, 1664, 1760, 2241, 1178, 6598, 1402, 15358, 20, 20143, 2527, 1325, 1044, 2326, 1842, 3642, 50, 12071, 1069, 1048, 1155, 1328, 1026, 15799, 9601, 1005, 1026, 7139, 1842, 6565, 5983, 1697, 1283, 1522, 14160, 1283, 1951, 675, 675, 675, 1283, 1522, 24425, 20, 6351, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 15810, 2036, 4402, 7040, 1207, 7808, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 6351, 1131, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 24425, 3375, 1078, 9567, 2036, 4402, 31049, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1502, 9567, 2036, 4402, 7040, 18214, 1246, 2951, 2483, 12817, 1951, 675, 675, 675, 1283, 1522, 2135, 27717, 20, 18313, 2036, 4402, 31049, 25490, 1931, 675, 675, 675, 1283, 1522, 3289, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 3289, 3690, 7179, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1119, 8803, 1253, 12577, 1283, 1951, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1283, 1522, 1004, 8803, 1014, 4416, 12421, 74, 8803, 1253, 1283 ]

[ 1049, 3407, 1658, 7530, 1054, 26232, 1242, 3295, 4836, 2754, 25213, 1758, 1005, 1661, 1087, 1242, 1049, 7762, 20, 1138, 7762, 1919, 1048, 1026, 4113, 23467, 1224, 16399, 1043, 3219, 1005, 9241, 1006, 1734, 9865, 2223, 2200, 1132, 1403, 27050, 1068, 1160, 28261, 2309, 4498, 1229, 1309, 1068, 5224, 1048, 2598, 6423, 1027, 1068, 10007, 1138, 7762, 5879, 1009, 2915, 9764, 3419, 1009, 2723, 4065, 1048, 3833, 1470, 1054, 13545, 1243, 1005, 2598, 5039, 1945, 1068, 10007, 1138, 7762, 1318, 1403, 27050, 1717, 1006, 3649, 1009, 7122, 1118, 14294, 3916, 1005, 2736, 3916, 20, 2200, 24818, 5030, 85, 1034, 1022, 2334, 3419, 1009, 2723, 4065, 1118, 16419, 1024, 8620, 18959, 1091, 1005, 1026, 2181, 1627, 1005, 1919, 1048, 1160, 2177, 1962, 1148, 1599, 1309, 31002, 1159, 1044, 1151, 19692, 20, 1138, 7762, 5879, 1049, 14782, 1577, 1005, 1009, 6425, 152, 1005, 1159, 1456, 26904, 3775, 5263, 1794, 1554, 2200, 1403, 27050, 1048, 1857, 3775, 14891, 1166, 1005, 14378, 1402, 1043, 1224, 3010, 2207, 20, 1138, 7762, 1318, 5879, 1009, 1535, 4065, 3419, 1009, 5030, 85, 1034, 1022, 2334, 1005, 1159, 1264, 2177, 20474, 2270, 2200, 2177, 6440, 30437, 1048, 16353, 1006, 1224, 5297, 1005, 1264, 1005, 1224, 4809, 3833, 7941, 1054, 2143, 7751, 1, 19821, 1006, 4958, 7565, 16510, 17405, 2604, 1133, 29729, 3490, 23191, 1054, 26578, 11705, 1068, 1044, 5266, 21288, 1210, 9148, 1118, 3175, 2052, 1578, 2639, 25302, 1026, 2277, 1712, 4410, 1566, 15872, 1118, 1094, 10899, 22538, 81, 8376, 1138, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 10366, 1175, 1455, 9311, 1069, 1043, 2978, 27, 17029, 5157, 19378, 11744, 1578, 5824, 5076, 1009, 5638, 6548, 1005, 20842, 1006, 2323, 1009, 5913, 1009, 12585, 13697, 2253, 8183, 22954, 1188, 1175, 12491, 5266, 26735, 1054, 1044, 2019, 7308, 79, 2290, 25046, 4889, 1005, 17590, 1114, 18573, 1063, 1843, 15619, 1054, 1106, 17316, 3351, 9396, 1678, 7365, 9768, 2223, 1138, 4148, 13209, 1060, 2573, 1009, 19146, 5247, 1344, 3082, 1108, 1051, 1924, 96, 1736, 1973, 1233, 27596, 1082, 15008, 61, 2953, 32, 7233, 6410, 3490, 26672, 12585, 13697, 19887, 1054, 1224, 3486, 1381, 14578, 8264, 10113, 1068, 1261, 23107, 1493, 7743, 20, 4049, 1273, 1054, 4702, 1068, 7508, 1044, 12585, 13697, 2253, 1048, 1225, 3179, 1094, 5913, 29662, 1468, 1096, 27632, 7016, 14174, 2100, 1257, 1257, 7515, 91, 1878, 32, 1257, 36, 1138, 22348, 10273, 31566, 1257, 1175, 1106, 17316, 3351, 9396, 89, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1006, 10899, 28844, 1171, 3243, 1278, 8, 1257, 1175, 27596, 1082, 15008, 61, 2953, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1026, 1710, 1066, 28844, 1171, 3243, 1278, 8, 1257, 1175, 2152, 1061, 1121, 1009, 19090, 9491, 1975, 31348, 2073, 2446, 1009, 8088, 78, 5247, 2018, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1026, 1710, 1066, 1538, 1053, 1171, 3243, 1278, 13, 1257, 1175, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 10366, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1026, 1710, 1066, 28844, 1171, 3243, 1278, 8, 1257, 1175, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 10366, 17600, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 2593, 27941, 5876, 1026, 1710, 1066, 1009, 1150, 4416, 1171, 3243, 1278, 8, 74, 2314, 1048, 1693, 9207, 1043, 1026, 1710, 1066, 1538, 1053, 1171, 3243, 1278, 13, 1257, 1175, 7365, 11358, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1213, 1710, 1066, 28844, 1171, 3243, 1278, 8, 3133, 4169, 10758, 12638, 10620, 1187, 26329, 1257, 1257, 1482, 3819, 2269, 1060, 15415, 9803, 1096, 15057, 1048, 2073, 3271, 1206, 2073, 8621, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1114, 10899, 1538, 1053, 1171, 3243, 1278, 10415, 1063, 15415, 1998, 5879, 1322, 1006, 5641, 1009, 1044, 14174, 2604, 1133, 1060, 29729, 1054, 1044, 26578, 1054, 1106, 17316, 3351, 9396, 1678, 7365, 18256, 1048, 1195, 13082, 1118, 3175, 2052, 1578, 26507, 1068, 1044, 5266, 21288, 27105, 17593, 1063, 10899, 1516, 1044, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 81, 3926, 1455, 9311, 1069, 1043, 2978, 27, 17029, 5157, 19378, 11744, 1578, 5824, 5076, 1009, 5638, 6548, 1005, 20842, 1006, 2323, 1009, 5913, 1009, 12585, 13697, 2253, 8183, 22954, 4457, 1063, 10899, 1195, 1493, 2900, 1196, 1005, 12491, 5266, 26735, 1068, 1044, 2019, 7308, 79, 2290, 25046, 4889, 1005, 17590, 20, 1138, 4148, 13209, 1060, 2573, 1009, 19146, 5247, 1344, 3082, 1108, 1051, 1924, 96, 9332, 26548, 1048, 29729, 3490, 26672, 12585, 13697, 19887, 1054, 1224, 3486, 1381, 14578, 12549, 1435, 10113, 1068, 1261, 23107, 1493, 26857, 1309, 1068, 2808, 1044, 12585, 13697, 2253, 1048, 1225, 3179, 1094, 5913, 29662, 1342, 1096, 27632, 7016, 1543, 5304, 1, 7311, 5990, 1094, 4960, 1048, 1225, 1006, 2511, 3484, 32, 1710, 1066, 1068, 1026, 2511, 14493, 1049, 2403, 32, 1063, 2042, 1225, 2269, 1054, 1044, 1784, 22689, 6097, 1069, 1118, 1094, 14995, 6661, 3806, 4669, 1105, 2297, 18, 1005, 1571, 1751, 1060, 6925, 25968, 2979, 1009, 1094, 3271, 1159, 1094, 4141, 1239, 8574, 3806, 7056, 3222, 20, 12412, 1007, 5045, 1139, 1022, 1126, 1094, 4689, 76, 152, 6754, 1054, 1094, 11518, 1054, 13919, 18, 13723, 1005, 1235, 7056, 3222, 16440, 3691, 27826, 2645, 1056, 15, 9732, 3847, 1044, 10112, 1009, 4669, 1105, 2297, 31885, 1046, 1006, 24650, 1009, 19169, 1730, 1009, 1235, 1030, 4475, 12412, 1007, 2276, 1403, 27050, 1235, 1030, 2037, 1142, 6315, 2034, 1092, 3947, 1048, 1006, 5601, 79, 1006, 10705, 6910, 5330, 12412, 1007, 20362, 2034, 7740, 1663, 1094, 6820, 1322, 1119, 1432, 18, 1094, 1386, 13828, 1048, 1026, 4669, 1105, 2297, 6467, 1379, 1006, 1742, 7863, 1063, 11518, 4145, 1006, 2034, 7740, 1094, 10899, 1068, 25231, 1094, 16974, 1213, 3184, 20, 1776, 25305, 1930, 12412, 1007, 3250, 1006, 24266, 2343, 1326, 1870, 1048, 1765, 3988, 1054, 5593, 12412, 1007, 1068, 1026, 3184, 1159, 1224, 3356, 6633, 10077, 1009, 12412, 1007, 29304, 1026, 14893, 1060, 11518, 17779, 6256, 1026, 3872, 1155, 3930, 79, 18266, 2367, 4289, 1044, 18323, 1458, 7155, 1006, 1080, 5123, 3728, 1048, 10920, 1006, 24423, 1138, 4669, 1105, 2297, 31600, 1664, 1132, 9918, 2200, 1006, 5601, 79, 1006, 2384, 20725, 1054, 8046, 1100, 4807, 1060, 24266, 2343, 1326, 1014, 4932, 4431, 1565, 2494, 24266, 1063, 2573, 1009, 2343, 1326, 1014, 1054, 1094, 1641, 1048, 1058, 31796, 1006, 1094, 8462, 3346, 1189, 3382, 12412, 1007, 19067, 1150, 21347, 1406, 1044, 2446, 1009, 1386, 13828, 11058, 1333, 1377, 9641, 11272, 1006, 24266, 2343, 1326, 1014, 1114, 13859, 1005, 1687, 1801, 4719, 12412, 1007, 1068, 2598, 1184, 5534, 1930, 1005, 1318, 1765, 3988, 1048, 1687, 3417, 1026, 1710, 1066, 10966, 1026, 8853, 3664, 79, 18266, 20, 24266, 2343, 1326, 1014, 3490, 7056, 3222, 14278, 31591, 1066, 29353, 15, 2945, 1609, 1073, 4358, 3748, 1043, 1048, 12412, 1007, 7315, 1131, 20, 12412, 1007, 1005, 6459, 2420, 1656, 1048, 1006, 24266, 2343, 1326, 1014, 1096, 6680, 1049, 5019, 5464, 1009, 1138, 1245, 2094, 1026, 7311, 1193, 1245, 1248, 1406, 1048, 1225, 2281, 17733, 2940, 3978, 24895, 3720, 1318, 7932, 1048, 1235, 1853, 5399, 17381, 1005, 1235, 5399, 1086, 1127, 2673, 23671, 1596, 2468, 1166, 2309, 1163, 1193, 1245, 10793, 12412, 1007, 1005, 6459, 4494, 1046, 1114, 24266, 2343, 1326, 1014, 3490, 7056, 3222, 4619, 23669, 1026, 1155, 3930, 79, 18266, 20, 5126, 8445, 1046, 1068, 1124, 2296, 1728, 1766, 7311, 1193, 1245, 1248, 8, 1006, 8027, 3982, 1309, 1687, 1096, 15426, 1118, 2088, 1086, 5343, 31180, 1063, 14089, 1009, 1044, 15107, 1086, 1088, 1127, 1047, 10064, 1068, 1026, 3184, 1068, 25220, 1456, 13102, 12412, 1007, 4277, 1026, 1155, 3930, 79, 18266, 1068, 1044, 2792, 18691, 1086, 1088, 1127, 2037, 1134, 1528, 1014, 2343, 1202, 20, 1776, 1884, 1732, 10602, 3696, 31238, 76, 1342, 2929, 6628, 22792, 1006, 9056, 1060, 16806, 94, 1126, 1919, 1006, 12412, 1007, 1048, 1124, 3978, 22050, 1580, 1826, 1054, 1044, 2269, 3509, 4111, 9785, 1645, 20, 24266, 2343, 1326, 1014, 10259, 2156, 15653, 4753, 1009, 1249, 1563, 5041, 19135, 1846, 1009, 12412, 5304, 6459, 33, 1044, 1096, 1715, 1257, 21567, 12943, 3436, 1048, 2521, 1006, 24266, 2343, 1326, 1014, 1765, 3988, 1048, 12412, 1007, 6733, 1068, 22967, 1048, 25818, 1026, 1155, 3930, 79, 2214, 30007, 1072, 2403, 1043, 1044, 1784, 22689, 6097, 1069, 1356, 4669, 1105, 2297, 1005, 2309, 7056, 83, 3020, 37, 1, 1150, 27531, 1006, 2511, 4960, 32, 20563, 1026, 4249, 32, 21604, 31067, 6136, 31810, 3357, 1096, 1006, 17857, 29457, 10257, 4405, 1043, 1044, 7456, 1009, 9883, 1365, 3519, 29, 1005, 7780, 5335, 88, 8092, 18, 1026, 1048, 10386, 1006, 1094, 6116, 1009, 8692, 1365, 1422, 2721, 1005, 1083, 1128, 46, 5121, 20791, 1766, 13291, 1361, 1009, 9883, 21141, 1327, 1184, 16089, 1049, 1048, 1026, 1060, 3357, 1737, 8523, 1309, 1184, 9327, 1049, 1048, 1026, 1187, 6970, 5193, 1037, 1728, 1138, 7679, 31067, 1298, 1178, 9819, 1069, 1006, 1094, 5514, 1187, 6081, 28935, 9855, 1118, 1150, 1546, 1045, 2100, 2034, 25745, 1452, 7679, 16609, 6469, 1693, 16861, 1005, 25970, 7679, 31067, 1356, 2490, 1009, 1094, 31097, 1008, 1407, 3841, 1054, 1569, 7101, 1273, 10142, 1009, 7732, 5828, 2100, 11035, 11457, 7850, 5420, 1094, 28935, 79, 2027, 1009, 2574, 1184, 1009, 1083, 1039, 2253, 93, 3624, 1118, 20560, 23258, 1213, 3319, 1049, 25173, 9476, 16899, 1487, 13201, 1096, 17857, 7679, 16609, 3089, 18, 11560, 11, 1096, 3357, 1737, 8523, 1005, 1307, 11, 1096, 17857, 5836, 1753, 1047, 3507, 20, 1005, 1006, 4087, 32, 20189, 1347, 8760, 5487, 29457, 10257, 13093, 1009, 7456, 1009, 9883, 2643, 2625, 1274, 1554, 3753, 1096, 1044, 3566, 3617, 2200, 13001, 2808, 1124, 8760, 5487, 29457, 10257, 13093, 1009, 7456, 1009, 9883, 8625, 1312, 1068, 1456, 23961, 20, 1972, 1989, 6781, 1264, 4014, 1079, 2125, 8760, 5487, 29457, 10257, 1575, 3589, 6970, 8535, 1273, 3357, 7679, 16609, 3089, 1005, 3357, 14222, 20, 2200, 14407, 6970, 85, 6857, 1159, 2535, 17954, 7679, 31067, 1159, 2535, 18706, 1005, 3357, 14222, 1159, 2535, 7833, 3064, 1162, 1694, 1233, 2511, 4960, 32, 9184, 1062, 4834, 13291, 1361, 1009, 9883, 1184, 16089, 1206, 1184, 26562, 1049, 1048, 1026, 2535, 1106, 37, 1257, 21567, 12943, 3436, 2568, 1062, 1071, 27074, 14222, 15, 4834, 13291, 1361, 1009, 9883, 1184, 26562, 1049, 1048, 1026, 2535, 1106, 1071, 27074, 7679, 16609, 3089, 1565, 1, 1766, 2138, 2365, 1826, 6778, 1157, 1124, 22950, 7958, 1624, 1065, 82, 4470, 1392, 1005, 5571, 20760, 1240, 13612, 1094, 29139, 1009, 2971, 1118, 13707, 1322, 1124, 1966, 1161, 1009, 12357, 1005, 1094, 29139, 1009, 1782, 1118, 13707, 1322, 1124, 1966, 1161, 1009, 20406, 1060, 4630, 5559, 1411, 8063, 1005, 8114, 1006, 2323, 1009, 9137, 20, 1766, 4620, 1318, 5421, 13596, 8654, 1009, 1023, 2370, 1206, 1009, 7423, 1054, 1734, 13705, 1159, 10509, 1049, 7247, 17140, 8809, 1005, 3878, 1054, 1472, 1009, 21047, 1273, 1026, 7778, 1009, 1424, 3908, 2037, 7236, 20088, 5143, 1678, 1318, 1973, 1679, 15533, 26053, 3068, 9707, 1118, 4931, 17467, 1138, 4813, 1271, 14671, 25695, 1060, 5310, 1973, 3068, 9137, 1048, 1664, 1132, 3825, 3634, 7904, 1006, 4272, 4678, 22309, 1511, 2615, 1166, 1322, 1006, 4497, 1187, 23465, 1138, 2670, 14902, 12656, 1973, 3068, 9707, 1048, 1132, 2250, 1187, 4620, 1847, 5130, 8003, 1054, 17274, 7958, 5083, 1027, 1322, 8, 1054, 1094, 8239, 4217, 1250, 5348, 1122, 2154, 3611, 3992, 1726, 8181, 1049, 15763, 15849, 20150, 1128, 14474, 2363, 1322, 3606, 28604, 1009, 12357, 1005, 20406, 20, 2172, 1219, 12476, 1569, 8181, 1213, 8063, 9137, 1356, 1048, 1264, 1919, 1178, 1124, 7055, 7958, 22150, 1278, 31861, 2897, 8, 1049, 7751, 12656, 1973, 27372, 1048, 5567, 1159, 28604, 1327, 9012, 1068, 7904, 1132, 13002, 1005, 1124, 16504, 22385, 1294, 3145, 11130, 1009, 30970, 1921, 20, 20577, 3540, 1049, 2670, 1327, 1322, 1006, 6250, 1049, 12357, 21667, 1026, 20406, 5414, 1406, 1973, 1044, 23436, 1060, 4769, 11171, 1126, 4042, 80, 5798, 2975, 1114, 14074, 3399, 1916, 3807, 1723, 1327, 11460, 1068, 1006, 3227, 3267, 2100, 8, 2605, 1006, 11028, 20239, 1009, 2088, 1187, 15099, 3946, 1391, 1184, 4412, 1060, 3836, 1225, 2281, 8403, 1005, 15746, 14370, 1063, 1424, 1398, 1896, 1060, 4630, 5559, 1411, 17805, 5287, 4735, 83, 1042, 2431, 18, 1973, 2574, 1846, 1009, 1124, 28604, 9507, 31024, 1054, 11767, 1048, 2829, 29720, 1005, 1026, 9105, 1009, 3771, 15005, 7909, 150, 1044, 2535, 1009, 3278, 18704, 1043, 1006, 10870, 3747, 1049, 13016, 20, 6234, 1417, 4800, 19641, 20, 14429, 1026, 3282, 1009, 19641, 20, 2654, 5956 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1049, 3407, 1658, 7530, 1054, 26232, 1242, 3295, 4836, 2754, 25213, 1758, 1005, 1661, 1087, 1242, 1049, 7762, 20, 1138, 7762, 1919, 1048, 1026, 4113, 23467, 1224, 16399, 1043, 3219, 1005, 9241, 1006, 1734, 9865, 2223, 2200, 1132, 1403, 27050, 1068, 1160, 28261, 2309, 4498, 1229, 1309, 1068, 5224, 1048, 2598, 6423, 1027, 1068, 10007, 1138, 7762, 5879, 1009, 2915, 9764, 3419, 1009, 2723, 4065, 1048, 3833, 1470, 1054, 13545, 1243, 1005, 2598, 5039, 1945, 1068, 10007, 1138, 7762, 1318, 1403, 27050, 1717, 1006, 3649, 1009, 7122, 1118, 14294, 3916, 1005, 2736, 3916, 20, 2200, 24818, 5030, 85, 1034, 1022, 2334, 3419, 1009, 2723, 4065, 1118, 16419, 1024, 8620, 18959, 1091, 1005, 1026, 2181, 1627, 1005, 1919, 1048, 1160, 2177, 1962, 1148, 1599, 1309, 31002, 1159, 1044, 1151, 19692, 20, 1138, 7762, 5879, 1049, 14782, 1577, 1005, 1009, 6425, 152, 1005, 1159, 1456, 26904, 3775, 5263, 1794, 1554, 2200, 1403, 27050, 1048, 1857, 3775, 14891, 1166, 1005, 14378, 1402, 1043, 1224, 3010, 2207, 20, 1138, 7762, 1318, 5879, 1009, 1535, 4065, 3419, 1009, 5030, 85, 1034, 1022, 2334, 1005, 1159, 1264, 2177, 20474, 2270, 2200, 2177, 6440, 30437, 1048, 16353, 1006, 1224, 5297, 1005, 1264, 1005, 1224, 4809, 3833, 7941, 1054, 2143, 7751, 1, 19821, 1006, 4958, 7565, 16510, 17405, 2604, 1133, 29729, 3490, 23191, 1054, 26578, 11705, 1068, 1044, 5266, 21288, 1210, 9148, 1118, 3175, 2052, 1578, 2639, 25302, 1026, 2277, 1712, 4410, 1566, 15872, 1118, 1094, 10899, 22538, 81, 8376, 1138, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 10366, 1175, 1455, 9311, 1069, 1043, 2978, 27, 17029, 5157, 19378, 11744, 1578, 5824, 5076, 1009, 5638, 6548, 1005, 20842, 1006, 2323, 1009, 5913, 1009, 12585, 13697, 2253, 8183, 22954, 1188, 1175, 12491, 5266, 26735, 1054, 1044, 2019, 7308, 79, 2290, 25046, 4889, 1005, 17590, 1114, 18573, 1063, 1843, 15619, 1054, 1106, 17316, 3351, 9396, 1678, 7365, 9768, 2223, 1138, 4148, 13209, 1060, 2573, 1009, 19146, 5247, 1344, 3082, 1108, 1051, 1924, 96, 1736, 1973, 1233, 27596, 1082, 15008, 61, 2953, 32, 7233, 6410, 3490, 26672, 12585, 13697, 19887, 1054, 1224, 3486, 1381, 14578, 8264, 10113, 1068, 1261, 23107, 1493, 7743, 20, 4049, 1273, 1054, 4702, 1068, 7508, 1044, 12585, 13697, 2253, 1048, 1225, 3179, 1094, 5913, 29662, 1468, 1096, 27632, 7016, 14174, 2100, 1257, 1257, 7515, 91, 1878, 32, 1257, 36, 1138, 22348, 10273, 31566, 1257, 1175, 1106, 17316, 3351, 9396, 89, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1006, 10899, 28844, 1171, 3243, 1278, 8, 1257, 1175, 27596, 1082, 15008, 61, 2953, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1026, 1710, 1066, 28844, 1171, 3243, 1278, 8, 1257, 1175, 2152, 1061, 1121, 1009, 19090, 9491, 1975, 31348, 2073, 2446, 1009, 8088, 78, 5247, 2018, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1026, 1710, 1066, 1538, 1053, 1171, 3243, 1278, 13, 1257, 1175, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 10366, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1043, 1026, 1710, 1066, 28844, 1171, 3243, 1278, 8, 1257, 1175, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 10366, 17600, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 2593, 27941, 5876, 1026, 1710, 1066, 1009, 1150, 4416, 1171, 3243, 1278, 8, 74, 2314, 1048, 1693, 9207, 1043, 1026, 1710, 1066, 1538, 1053, 1171, 3243, 1278, 13, 1257, 1175, 7365, 11358, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1213, 1710, 1066, 28844, 1171, 3243, 1278, 8, 3133, 4169, 10758, 12638, 10620, 1187, 26329, 1257, 1257, 1482, 3819, 2269, 1060, 15415, 9803, 1096, 15057, 1048, 2073, 3271, 1206, 2073, 8621, 16605, 31348, 7636, 8088, 78, 5247, 13862, 1206, 8016, 1048, 6326, 9207, 1114, 10899, 1538, 1053, 1171, 3243, 1278, 10415, 1063, 15415, 1998, 5879, 1322, 1006, 5641, 1009, 1044, 14174, 2604, 1133, 1060, 29729, 1054, 1044, 26578, 1054, 1106, 17316, 3351, 9396, 1678, 7365, 18256, 1048, 1195, 13082, 1118, 3175, 2052, 1578, 26507, 1068, 1044, 5266, 21288, 27105, 17593, 1063, 10899, 1516, 1044, 30939, 3691, 1034, 1144, 2253, 10930, 13697, 3951, 22538, 81, 3926, 1455, 9311, 1069, 1043, 2978, 27, 17029, 5157, 19378, 11744, 1578, 5824, 5076, 1009, 5638, 6548, 1005, 20842, 1006, 2323, 1009, 5913, 1009, 12585, 13697, 2253, 8183, 22954, 4457, 1063, 10899, 1195, 1493, 2900, 1196, 1005, 12491, 5266, 26735, 1068, 1044, 2019, 7308, 79, 2290, 25046, 4889, 1005, 17590, 20, 1138, 4148, 13209, 1060, 2573, 1009, 19146, 5247, 1344, 3082, 1108, 1051, 1924, 96, 9332, 26548, 1048, 29729, 3490, 26672, 12585, 13697, 19887, 1054, 1224, 3486, 1381, 14578, 12549, 1435, 10113, 1068, 1261, 23107, 1493, 26857, 1309, 1068, 2808, 1044, 12585, 13697, 2253, 1048, 1225, 3179, 1094, 5913, 29662, 1342, 1096, 27632, 7016, 1543, 5304, 1, 7311, 5990, 1094, 4960, 1048, 1225, 1006, 2511, 3484, 32, 1710, 1066, 1068, 1026, 2511, 14493, 1049, 2403, 32, 1063, 2042, 1225, 2269, 1054, 1044, 1784, 22689, 6097, 1069, 1118, 1094, 14995, 6661, 3806, 4669, 1105, 2297, 18, 1005, 1571, 1751, 1060, 6925, 25968, 2979, 1009, 1094, 3271, 1159, 1094, 4141, 1239, 8574, 3806, 7056, 3222, 20, 12412, 1007, 5045, 1139, 1022, 1126, 1094, 4689, 76, 152, 6754, 1054, 1094, 11518, 1054, 13919, 18, 13723, 1005, 1235, 7056, 3222, 16440, 3691, 27826, 2645, 1056, 15, 9732, 3847, 1044, 10112, 1009, 4669, 1105, 2297, 31885, 1046, 1006, 24650, 1009, 19169, 1730, 1009, 1235, 1030, 4475, 12412, 1007, 2276, 1403, 27050, 1235, 1030, 2037, 1142, 6315, 2034, 1092, 3947, 1048, 1006, 5601, 79, 1006, 10705, 6910, 5330, 12412, 1007, 20362, 2034, 7740, 1663, 1094, 6820, 1322, 1119, 1432, 18, 1094, 1386, 13828, 1048, 1026, 4669, 1105, 2297, 6467, 1379, 1006, 1742, 7863, 1063, 11518, 4145, 1006, 2034, 7740, 1094, 10899, 1068, 25231, 1094, 16974, 1213, 3184, 20, 1776, 25305, 1930, 12412, 1007, 3250, 1006, 24266, 2343, 1326, 1870, 1048, 1765, 3988, 1054, 5593, 12412, 1007, 1068, 1026, 3184, 1159, 1224, 3356, 6633, 10077, 1009, 12412, 1007, 29304, 1026, 14893, 1060, 11518, 17779, 6256, 1026, 3872, 1155, 3930, 79, 18266, 2367, 4289, 1044, 18323, 1458, 7155, 1006, 1080, 5123, 3728, 1048, 10920, 1006, 24423, 1138, 4669, 1105, 2297, 31600, 1664, 1132, 9918, 2200, 1006, 5601, 79, 1006, 2384, 20725, 1054, 8046, 1100, 4807, 1060, 24266, 2343, 1326, 1014, 4932, 4431, 1565, 2494, 24266, 1063, 2573, 1009, 2343, 1326, 1014, 1054, 1094, 1641, 1048, 1058, 31796, 1006, 1094, 8462, 3346, 1189, 3382, 12412, 1007, 19067, 1150, 21347, 1406, 1044, 2446, 1009, 1386, 13828, 11058, 1333, 1377, 9641, 11272, 1006, 24266, 2343, 1326, 1014, 1114, 13859, 1005, 1687, 1801, 4719, 12412, 1007, 1068, 2598, 1184, 5534, 1930, 1005, 1318, 1765, 3988, 1048, 1687, 3417, 1026, 1710, 1066, 10966, 1026, 8853, 3664, 79, 18266, 20, 24266, 2343, 1326, 1014, 3490, 7056, 3222, 14278, 31591, 1066, 29353, 15, 2945, 1609, 1073, 4358, 3748, 1043, 1048, 12412, 1007, 7315, 1131, 20, 12412, 1007, 1005, 6459, 2420, 1656, 1048, 1006, 24266, 2343, 1326, 1014, 1096, 6680, 1049, 5019, 5464, 1009, 1138, 1245, 2094, 1026, 7311, 1193, 1245, 1248, 1406, 1048, 1225, 2281, 17733, 2940, 3978, 24895, 3720, 1318, 7932, 1048, 1235, 1853, 5399, 17381, 1005, 1235, 5399, 1086, 1127, 2673, 23671, 1596, 2468, 1166, 2309, 1163, 1193, 1245, 10793, 12412, 1007, 1005, 6459, 4494, 1046, 1114, 24266, 2343, 1326, 1014, 3490, 7056, 3222, 4619, 23669, 1026, 1155, 3930, 79, 18266, 20, 5126, 8445, 1046, 1068, 1124, 2296, 1728, 1766, 7311, 1193, 1245, 1248, 8, 1006, 8027, 3982, 1309, 1687, 1096, 15426, 1118, 2088, 1086, 5343, 31180, 1063, 14089, 1009, 1044, 15107, 1086, 1088, 1127, 1047, 10064, 1068, 1026, 3184, 1068, 25220, 1456, 13102, 12412, 1007, 4277, 1026, 1155, 3930, 79, 18266, 1068, 1044, 2792, 18691, 1086, 1088, 1127, 2037, 1134, 1528, 1014, 2343, 1202, 20, 1776, 1884, 1732, 10602, 3696, 31238, 76, 1342, 2929, 6628, 22792, 1006, 9056, 1060, 16806, 94, 1126, 1919, 1006, 12412, 1007, 1048, 1124, 3978, 22050, 1580, 1826, 1054, 1044, 2269, 3509, 4111, 9785, 1645, 20, 24266, 2343, 1326, 1014, 10259, 2156, 15653, 4753, 1009, 1249, 1563, 5041, 19135, 1846, 1009, 12412, 5304, 6459, 33, 1044, 1096, 1715, 1257, 21567, 12943, 3436, 1048, 2521, 1006, 24266, 2343, 1326, 1014, 1765, 3988, 1048, 12412, 1007, 6733, 1068, 22967, 1048, 25818, 1026, 1155, 3930, 79, 2214, 30007, 1072, 2403, 1043, 1044, 1784, 22689, 6097, 1069, 1356, 4669, 1105, 2297, 1005, 2309, 7056, 83, 3020, 37, 1, 1150, 27531, 1006, 2511, 4960, 32, 20563, 1026, 4249, 32, 21604, 31067, 6136, 31810, 3357, 1096, 1006, 17857, 29457, 10257, 4405, 1043, 1044, 7456, 1009, 9883, 1365, 3519, 29, 1005, 7780, 5335, 88, 8092, 18, 1026, 1048, 10386, 1006, 1094, 6116, 1009, 8692, 1365, 1422, 2721, 1005, 1083, 1128, 46, 5121, 20791, 1766, 13291, 1361, 1009, 9883, 21141, 1327, 1184, 16089, 1049, 1048, 1026, 1060, 3357, 1737, 8523, 1309, 1184, 9327, 1049, 1048, 1026, 1187, 6970, 5193, 1037, 1728, 1138, 7679, 31067, 1298, 1178, 9819, 1069, 1006, 1094, 5514, 1187, 6081, 28935, 9855, 1118, 1150, 1546, 1045, 2100, 2034, 25745, 1452, 7679, 16609, 6469, 1693, 16861, 1005, 25970, 7679, 31067, 1356, 2490, 1009, 1094, 31097, 1008, 1407, 3841, 1054, 1569, 7101, 1273, 10142, 1009, 7732, 5828, 2100, 11035, 11457, 7850, 5420, 1094, 28935, 79, 2027, 1009, 2574, 1184, 1009, 1083, 1039, 2253, 93, 3624, 1118, 20560, 23258, 1213, 3319, 1049, 25173, 9476, 16899, 1487, 13201, 1096, 17857, 7679, 16609, 3089, 18, 11560, 11, 1096, 3357, 1737, 8523, 1005, 1307, 11, 1096, 17857, 5836, 1753, 1047, 3507, 20, 1005, 1006, 4087, 32, 20189, 1347, 8760, 5487, 29457, 10257, 13093, 1009, 7456, 1009, 9883, 2643, 2625, 1274, 1554, 3753, 1096, 1044, 3566, 3617, 2200, 13001, 2808, 1124, 8760, 5487, 29457, 10257, 13093, 1009, 7456, 1009, 9883, 8625, 1312, 1068, 1456, 23961, 20, 1972, 1989, 6781, 1264, 4014, 1079, 2125, 8760, 5487, 29457, 10257, 1575, 3589, 6970, 8535, 1273, 3357, 7679, 16609, 3089, 1005, 3357, 14222, 20, 2200, 14407, 6970, 85, 6857, 1159, 2535, 17954, 7679, 31067, 1159, 2535, 18706, 1005, 3357, 14222, 1159, 2535, 7833, 3064, 1162, 1694, 1233, 2511, 4960, 32, 9184, 1062, 4834, 13291, 1361, 1009, 9883, 1184, 16089, 1206, 1184, 26562, 1049, 1048, 1026, 2535, 1106, 37, 1257, 21567, 12943, 3436, 2568, 1062, 1071, 27074, 14222, 15, 4834, 13291, 1361, 1009, 9883, 1184, 26562, 1049, 1048, 1026, 2535, 1106, 1071, 27074, 7679, 16609, 3089, 1565, 1, 1766, 2138, 2365, 1826, 6778, 1157, 1124, 22950, 7958, 1624, 1065, 82, 4470, 1392, 1005, 5571, 20760, 1240, 13612, 1094, 29139, 1009, 2971, 1118, 13707, 1322, 1124, 1966, 1161, 1009, 12357, 1005, 1094, 29139, 1009, 1782, 1118, 13707, 1322, 1124, 1966, 1161, 1009, 20406, 1060, 4630, 5559, 1411, 8063, 1005, 8114, 1006, 2323, 1009, 9137, 20, 1766, 4620, 1318, 5421, 13596, 8654, 1009, 1023, 2370, 1206, 1009, 7423, 1054, 1734, 13705, 1159, 10509, 1049, 7247, 17140, 8809, 1005, 3878, 1054, 1472, 1009, 21047, 1273, 1026, 7778, 1009, 1424, 3908, 2037, 7236, 20088, 5143, 1678, 1318, 1973, 1679, 15533, 26053, 3068, 9707, 1118, 4931, 17467, 1138, 4813, 1271, 14671, 25695, 1060, 5310, 1973, 3068, 9137, 1048, 1664, 1132, 3825, 3634, 7904, 1006, 4272, 4678, 22309, 1511, 2615, 1166, 1322, 1006, 4497, 1187, 23465, 1138, 2670, 14902, 12656, 1973, 3068, 9707, 1048, 1132, 2250, 1187, 4620, 1847, 5130, 8003, 1054, 17274, 7958, 5083, 1027, 1322, 8, 1054, 1094, 8239, 4217, 1250, 5348, 1122, 2154, 3611, 3992, 1726, 8181, 1049, 15763, 15849, 20150, 1128, 14474, 2363, 1322, 3606, 28604, 1009, 12357, 1005, 20406, 20, 2172, 1219, 12476, 1569, 8181, 1213, 8063, 9137, 1356, 1048, 1264, 1919, 1178, 1124, 7055, 7958, 22150, 1278, 31861, 2897, 8, 1049, 7751, 12656, 1973, 27372, 1048, 5567, 1159, 28604, 1327, 9012, 1068, 7904, 1132, 13002, 1005, 1124, 16504, 22385, 1294, 3145, 11130, 1009, 30970, 1921, 20, 20577, 3540, 1049, 2670, 1327, 1322, 1006, 6250, 1049, 12357, 21667, 1026, 20406, 5414, 1406, 1973, 1044, 23436, 1060, 4769, 11171, 1126, 4042, 80, 5798, 2975, 1114, 14074, 3399, 1916, 3807, 1723, 1327, 11460, 1068, 1006, 3227, 3267, 2100, 8, 2605, 1006, 11028, 20239, 1009, 2088, 1187, 15099, 3946, 1391, 1184, 4412, 1060, 3836, 1225, 2281, 8403, 1005, 15746, 14370, 1063, 1424, 1398, 1896, 1060, 4630, 5559, 1411, 17805, 5287, 4735, 83, 1042, 2431, 18, 1973, 2574, 1846, 1009, 1124, 28604, 9507, 31024, 1054, 11767, 1048, 2829, 29720, 1005, 1026, 9105, 1009, 3771, 15005, 7909, 150, 1044, 2535, 1009, 3278, 18704, 1043, 1006, 10870, 3747, 1049, 13016, 20, 6234, 1417, 4800, 19641, 20, 14429, 1026, 3282, 1009, 19641, 20, 2654, 5956 ]

[ 5015, 1009, 29699, 8470, 1178, 2072, 2987, 2950, 1044, 7025, 25582, 1068, 1044, 6902, 1048, 1299, 1566, 10661, 1159, 5231, 1206, 1094, 10996, 10678, 1196, 1511, 4327, 3661, 1184, 3997, 1006, 1044, 6902, 1049, 1048, 1026, 2540, 9780, 7766, 24648, 11335, 1160, 25179, 1918, 1009, 5707, 19613, 3064, 17878, 8, 1049, 10227, 42, 11941, 1324, 1571, 1132, 5015, 10166, 1133, 1202, 1184, 5376, 1049, 1048, 1857, 2540, 4433, 7, 1776, 2268, 1096, 1493, 1184, 3707, 1419, 1044, 11237, 13354, 6638, 1009, 16468, 12063, 1480, 1206, 8402, 17039, 1005, 9007, 1054, 1044, 2788, 1048, 1596, 5503, 19320, 1257, 14178, 32, 1505, 1048, 1299, 11694, 15629, 39, 37, 2034, 6286, 1207, 1085, 77, 13317, 1063, 1167, 16850, 2643, 2281, 8044, 1312, 1054, 10830, 1006, 1834, 7048, 1049, 15558, 1009, 18273, 2271, 1048, 2493, 19473, 1006, 12891, 1482, 1044, 8679, 1068, 2997, 1557, 1009, 2922, 1213, 3467, 1009, 18273, 1009, 8067, 2572, 8587, 15671, 9234, 1132, 5015, 9107, 5232, 1068, 6180, 1043, 1132, 12070, 1009, 3159, 1184, 2229, 1916, 7630, 1044, 3609, 4172, 3823, 1006, 2921, 14426, 1068, 3371, 1132, 5015, 1006, 8402, 1235, 14265, 1264, 1160, 1294, 24155, 1006, 2921, 4008, 1009, 4048, 22302, 7215, 1571, 1857, 1826, 1005, 4966, 1224, 7898, 23926, 1119, 1140, 1006, 1200, 6561, 5423, 1049, 8680, 13826, 1114, 9320, 1668, 1195, 1026, 2269, 9994, 1068, 2837, 1044, 3609, 7, 1257, 14178, 32, 5139, 5502, 1225, 15629, 39, 37, 1257, 1207, 1085, 77, 13317, 11743, 39, 1096, 1044, 25902, 15821, 1048, 14016, 1006, 14383, 1009, 5015, 1072, 8680, 13826, 89, 1068, 8402, 3284, 8630, 1072, 1955, 23531, 1005, 1072, 10227, 42, 11941, 1802, 1138, 15629, 39, 1225, 1791, 5834, 32, 1094, 4169, 17266, 1048, 3629, 1132, 5015, 1006, 9066, 1224, 7102, 1009, 5942, 20675, 1005, 7404, 6397, 1068, 3284, 8630, 1005, 1094, 4169, 5500, 4747, 1048, 3191, 11103, 1107, 1043, 1026, 1063, 1167, 16850, 21677, 11793, 1606, 1068, 7508, 3284, 2247, 1187, 8654, 1060, 8680, 1009, 6653, 12627, 1063, 15629, 39, 5325, 1072, 4025, 1049, 17829, 1026, 1048, 3901, 1048, 2598, 5608, 1508, 3284, 1213, 1428, 1026, 3142, 1160, 1225, 3177, 20, 1063, 3780, 1298, 4524, 1717, 2539, 6824, 1009, 30374, 1166, 1175, 1068, 3371, 1006, 6679, 1006, 12070, 3441, 1010, 1005, 22255, 1858, 1072, 2269, 1206, 1054, 1094, 2360, 7102, 1072, 10227, 42, 15522, 1206, 1114, 13774, 1009, 7111, 4475, 1257, 14178, 32, 2800, 1299, 3108, 1079, 1026, 15629, 39, 37, 1257, 1207, 1085, 77, 13317, 1063, 1167, 16850, 1225, 2281, 1044, 1187, 4181, 1006, 16505, 5908, 1005, 21673, 27784, 1118, 2864, 14653, 1048, 1058, 24234, 9673, 1009, 15387, 1026, 1048, 15320, 1508, 1511, 1058, 5632, 1009, 30390, 1114, 10326, 4830, 30375, 6044, 6011, 1006, 5741, 1009, 11542, 1132, 9789, 1005, 15438, 1060, 1834, 1114, 16582, 1175, 1026, 1048, 3901, 1048, 1857, 3586, 7021, 7106, 1068, 16505, 2930, 25902, 15821, 1068, 3371, 1043, 2088, 1009, 1456, 12070, 1184, 2229, 1916, 1257, 14178, 32, 2800, 1195, 1006, 3484, 1271, 3235, 37, 1257, 1207, 1085, 77, 13317, 1138, 28519, 1049, 3142, 1852, 1225, 2281, 1044, 16951, 2512, 1054, 30582, 1009, 3140, 8700, 3259, 3306, 5763, 25331, 3235, 4029, 1005, 1495, 1592, 5908, 1043, 2759, 1009, 18273, 4863, 20, 3204, 1225, 2281, 1044, 1807, 5628, 1054, 3349, 1054, 2869, 1233, 4022, 1049, 3099, 7, 1257, 14178, 32, 1482, 1048, 1184, 1299, 1325, 7187, 37, 1207, 1085, 77, 13317, 15629, 39, 7813, 1792, 1044, 6502, 2512, 1175, 1299, 3135, 5574, 1132, 5015, 1571, 1857, 1826, 20, 14530, 26184, 1068, 2593, 7187, 1068, 7005, 2653, 1184, 3195, 1060, 1063, 1167, 16850, 5232, 1068, 1132, 5015, 9107, 2328, 1060, 2921, 3023, 1049, 25902, 15821, 15629, 2722, 1005, 9301, 10514, 1184, 5856, 14071, 1294, 7024, 3952, 1879, 15629, 2722, 1026, 25902, 15821, 8744, 1357, 1063, 1167, 16850, 18, 5325, 3611, 3992, 1726, 14383, 1049, 3142, 1072, 8680, 13826, 89, 1068, 8402, 3284, 8630, 1072, 1955, 23531, 1005, 1072, 10227, 42, 11941, 1802, 1138, 15629, 39, 1225, 1791, 5834, 32, 1094, 4169, 17266, 1048, 3629, 1132, 5015, 1006, 9066, 1224, 7102, 1009, 5942, 20675, 1005, 7404, 6397, 1068, 3284, 8630, 1005, 1094, 4169, 5500, 4747, 1048, 3191, 11103, 1107, 1043, 1026, 1063, 1167, 16850, 21677, 11793, 1606, 1068, 7508, 3284, 2247, 1187, 8654, 1060, 8680, 1009, 6653, 12627, 1138, 15629, 39, 5325, 1072, 4025, 1049, 17829, 1026, 1048, 3901, 1048, 2598, 3902, 3284, 1213, 1428, 1026, 3142, 1160, 1225, 3177, 20, 1138, 15629, 39, 1298, 13595, 1054, 2539, 6824, 1009, 30374, 1166, 1005, 22255, 1858, 1072, 2269, 1206, 1054, 1094, 2360, 7102, 1072, 10227, 42, 15522, 1206, 24384, 7132, 1049, 27189, 1551, 2303, 1043, 3753, 1207, 1085, 77, 1400, 12884, 1009, 6973, 1009, 3195, 1060, 1063, 1167, 16850, 18, 3805, 89, 1009, 2011, 1159, 1026, 15629, 39, 1693, 3371, 1043, 8823, 11946, 1452, 1048, 2739, 2624, 1058, 7017, 1072, 3439, 1009, 8823, 3946, 1392, 4412, 1048, 19538, 1046, 1006, 11174, 31223, 1063, 3484, 1271, 3235, 1213, 15629, 39, 1195, 4286, 5160, 1005, 1006, 1063, 1167, 16850, 1325, 24195, 1054, 7005, 1184, 3195, 5232, 1068, 1132, 5015, 9107, 2328, 1049, 1592, 1033, 9679, 25902, 15821, 20, 1, 8454, 1044, 7189, 7566, 1068, 1668, 31187, 1172, 93, 2077, 2020, 7724, 3498, 3755, 18, 1044, 10451, 1054, 1373, 1081, 1416, 1169, 1081, 1780, 1060, 10509, 1049, 2709, 1048, 2284, 16064, 1069, 3056, 16992, 1114, 3780, 1009, 7875, 1090, 1046, 1021, 2565, 1195, 14613, 3073, 1694, 95, 1009, 17281, 2616, 1456, 11409, 1005, 2411, 1279, 96, 7716, 9996, 1009, 3780, 1049, 2671, 675, 4016, 93, 2077, 1313, 7724, 3498, 3755, 18, 4472, 1018, 5240, 1230, 1291, 1054, 1373, 1081, 1416, 1060, 10509, 1049, 7247, 1195, 5077, 27860, 1009, 17281, 2616, 1456, 7896, 1009, 3780, 1005, 2411, 1279, 96, 7716, 9996, 1009, 3780, 1049, 18837, 1207, 93, 2077, 1566, 2284, 16064, 1069, 3056, 16992, 1114, 3780, 1009, 7875, 5786, 2440, 3426, 1309, 1569, 24240, 1596, 1184, 3232, 14123, 27344, 1075, 1032, 1728, 1, 11772, 7943, 4889, 9870, 3398, 16843, 1060, 2348, 4214, 29957, 1009, 21210, 1006, 1752, 3681, 4777, 10887, 2653, 23134, 1573, 12515, 1048, 4343, 4480, 3398, 16843, 1009, 1224, 4214, 29957, 1009, 21210, 1006, 1752, 22085, 1063, 3364, 1187, 3145, 23134, 5430, 1159, 5809, 3529, 11497, 21789, 1870, 2079, 6575, 1229, 5931, 4396, 19806, 1005, 14261, 72, 19828, 1664, 1132, 19597, 2925, 1187, 4679, 16843, 1009, 8340, 1009, 2383, 12087, 8124, 20, 3713, 1318, 1298, 2808, 3398, 16843, 1009, 1224, 4214, 29957, 1054, 7458, 1159, 8952, 89, 6707, 1678, 3650, 7551, 73, 2679, 1005, 1119, 3083, 49, 4134, 17764, 13711, 1916, 1257, 2358, 1549, 1096, 1044, 7228, 1365, 1044, 6819, 1005, 1044, 3356, 6633, 1138, 6819, 1325, 27011, 1322, 3473, 22325, 11473, 1044, 6737, 1009, 13490, 1060, 4380, 6268, 1685, 1005, 31624, 6750, 1357, 3484, 6268, 1685, 1005, 1049, 28331, 6633, 29343, 1371, 1009, 1048, 1026, 6268, 1577, 7845, 1118, 1048, 1857, 6470, 1006, 1224, 14346, 1138, 12590, 1298, 4347, 2073, 2285, 1009, 10842, 2223, 1138, 6268, 1577, 1976, 4347, 1356, 2444, 2156, 10842, 2223, 1, 1159, 5325, 1026, 2380, 1009, 3759, 1199, 90, 6722, 1950, 1056, 12654, 8724, 31580, 90, 17487, 1096, 1044, 3957, 1009, 8533, 4254, 1312, 1294, 2138, 2365, 1054, 3484, 1679, 8332, 1009, 2475, 1009, 26573, 21980, 79, 1094, 2700, 1009, 26943, 24396, 1006, 19077, 1006, 3227, 3267, 1049, 6402, 2966, 1026, 4465, 1187, 11262, 1271, 13327, 1009, 6446, 1060, 3940, 1005, 1006, 9330, 1060, 8859, 1009, 25224, 8359, 11048, 1138, 7355, 1318, 5631, 26943, 1048, 23147, 1006, 4008, 1049, 2671, 1009, 20738, 1005, 23367, 2266, 1322, 7539, 1005, 4440, 19683, 1009, 8359, 9144, 1257, 1138, 29460, 31580, 1076, 1096, 13831, 1054, 2539, 2833, 9680, 1752, 1044, 1187, 2688, 1058, 20063, 1054, 1044, 10474, 3630, 1060, 3227, 18047, 11693, 1271, 3145, 26943, 1049, 7355, 5241, 32, 1257, 36, 3125, 29566, 1026, 7414, 1009, 8084, 2854, 71, 1005, 1026, 26987, 1009, 8084, 2854, 71, 1257, 3125, 30030, 1754, 1132, 11262, 1271, 13327, 1009, 6446, 1060, 17376, 2966, 1006, 4008, 1009, 20738, 1005, 23367, 2266, 1322, 7539, 1005, 4440, 19683, 1009, 8359, 1876, 1257, 3125, 26662, 1330, 1130, 1006, 8859, 1009, 3638, 26477, 1068, 7243, 1094, 8962, 11818, 1009, 10522, 1257, 3125, 3292, 2014, 1130, 1068, 1006, 2500, 2101, 1005, 1009, 26520, 1009, 6486, 1009, 8359, 1876, 1160, 3577, 1041, 1253, 51, 1729, 2940, 1124, 21317, 1009, 13012, 1009, 8600, 2328, 1049, 2490, 1009, 11511, 1009, 14590, 1005, 1734, 13832, 1009, 21022, 1009, 8600, 1257, 3125, 30030, 1754, 1006, 4008, 1060, 6446, 1060, 3940, 1068, 8748, 2266, 1005, 5589, 1024, 1456, 9191, 2328, 1049, 2490, 1009, 5061, 1009, 21022, 1009, 2266, 1005, 2089, 6099, 1257, 1257, 1138, 29460, 31580, 1076, 1225, 2281, 2382, 18255, 2246, 1195, 28999, 1118, 2997, 1213, 2671, 1493, 1622, 1005, 1118, 1869, 2107, 1130, 1132, 3997, 10010, 1005, 5551, 2233, 2223, 11693, 1783, 16217, 1412, 1048, 1026, 7355, 4715, 1006, 13410, 1010, 1009, 1622, 1005, 1048, 5341, 1079, 1169, 2099, 1266, 2299, 1250, 10592, 25997, 1159, 22743, 1005, 15081, 20, 1257, 1257, 1138, 92, 1669, 5972, 1026, 8724, 31580, 90, 17487, 1096, 1044, 3957, 9885, 1005, 2382, 18255, 1009, 8533, 1048, 2569, 1044, 5802, 10745, 1114, 3227, 3267, 1005, 1114, 6446, 1060, 3940, 1049, 7751, 1, 8454, 1044, 2859, 1009, 3780, 1322, 1006, 2042, 1060, 8423, 1211, 13233, 1124, 17724, 1009, 2625, 7328, 1009, 3374, 1005, 21942, 1006, 8172, 1187, 11819, 1005, 6306, 1009, 8423, 1213, 2729, 1009, 2625, 12059, 1009, 8410, 5024, 2011, 1318, 1976, 28202, 1026, 5802, 1009, 4203, 3774, 3368, 5376, 9790, 1005, 7328, 3732, 1322, 1026, 3090, 1060, 8423, 20, 3423, 2668, 15759, 9066, 6353, 8745, 1005, 1569, 12055, 1068, 1026, 3428, 1005, 7449, 1132, 7002, 15568, 1054, 2625, 14236, 2453, 1060, 30438, 1159, 12296, 1100, 4090, 6495, 1834, 20006, 1005, 3374, 12415, 6045, 1113, 5359, 12006, 1257, 1257, 1063, 8423, 1096, 1094, 1271, 5480, 1009, 3374, 1184, 9814, 12411, 1357, 12718, 1005, 1224, 2042, 1298, 1178, 1211, 9894, 1495, 1132, 5635, 5896, 1554, 4116, 2729, 1187, 31972, 1006, 8423, 31039, 1005, 1058, 17283, 1009, 12508, 1009, 8756, 13896, 1068, 3374, 31223, 1138, 3090, 1060, 8423, 1225, 2281, 20019, 1118, 2539, 7328, 1009, 12939, 5376, 3732, 1005, 26763, 4203, 14211, 1005, 16992, 3065, 3214, 5345, 3204, 2011, 1009, 3780, 5544, 8038, 1006, 2042, 1060, 8423, 1211, 13233, 1124, 17724, 1009, 2625, 7328, 1009, 3374, 1005, 21942, 1006, 8172, 1009, 11819, 1009, 8423, 1005, 6306, 1213, 2729, 1009, 2625, 12059, 1009, 8410, 1138, 2859, 1318, 30215, 1945, 1026, 5802, 1009, 4203, 3774, 3368, 5376, 9790, 1005, 7328, 3732, 1322, 1026, 3090, 1060, 8423, 20, 3423, 2668, 1026, 2859, 5365, 1945, 6353, 8745, 1005, 1569, 12055, 1068, 1026, 16361, 1005, 6879, 1945, 1132, 7002, 1005, 14236, 15568, 2453, 1060, 30438, 1159, 12296, 1100, 4090, 6495, 1834, 20006, 1005, 3374, 12415, 6045, 20, 1257, 1257, 22308, 1793, 14302, 1257, 1257, 1063, 8423, 1298, 1178, 9030, 1140, 1495, 1132, 5635, 26842, 1571, 1195, 5483, 1068, 14894, 1005, 16412, 4203, 1005, 14417, 4412, 20, 17301, 3716, 1009, 8756, 13896, 1060, 1516, 30447, 21375, 1327, 1132, 1184, 7739, 8512, 8903, 1009, 30438, 1048, 6029, 1012, 1046, 1006, 2916, 1009, 2595, 6435, 13619, 14327, 12508, 1596, 16474, 2301, 5850, 7959, 1159, 1738, 3694, 19317, 1005, 26799, 1005, 4601, 12296, 1312, 1009, 5513, 1005, 11699, 3963, 1728, 1257, 1776, 5485, 27743, 1006, 8423, 1195, 5483, 1068, 5486, 1439, 1124, 9136, 1187, 1030, 1822, 2216, 1005, 12916, 1554, 1138, 3239, 16782, 2580, 1009, 8423, 1195, 25350, 1118, 1094, 1090, 6226, 18920, 1233, 1871, 1005, 4694, 2762, 1005, 1026, 2490, 1009, 5281, 16074, 2954, 6997, 1766, 16782, 10442, 1318, 25294, 1006, 6085, 1009, 8423, 1054, 2232, 20430, 13812, 1048, 2747, 1785, 2549, 1829, 1337, 1005, 5937, 1009, 30433, 1009, 1345, 3089, 1043, 26151, 9974, 20, 1257, 1257, 7669, 16998, 1257, 1257, 2494, 4180, 5368, 1961, 1006, 8423, 1195, 15514, 1006, 1094, 1871, 1009, 3596, 3374, 20, 1766, 24705, 1005, 17185, 25294, 1044, 3239, 3888, 1291, 1009, 8423, 1048, 12305, 8912, 1006, 3938, 1060, 1871, 22460, 1063, 8423, 19721, 1195, 24776, 1356, 2490, 1009, 5281, 8374, 3273, 7593, 19849, 1575, 11565, 1005, 1044, 7051, 1114, 6627, 22460, 1063, 8423, 5128, 1126, 1118, 2143, 6079, 1516, 1184, 5486, 29696, 13522, 13381, 19677, 1166, 1005, 5281, 3154, 1728, 1257, 5845, 1026, 3041, 12870, 1672, 1006, 8423, 1195, 6097, 1140, 1118, 7002, 8657, 1229, 1005, 1026, 3239, 1195, 25350, 1118, 4601, 1536, 5817, 1005, 1080, 27428, 1918, 20, 1776, 6377, 20444, 1120, 4693, 1124, 12508, 1596, 16474, 2301, 1094, 6085, 3806, 5190, 1009, 9053, 1100, 1048, 2747, 1785, 28177, 26151, 9974, 1043, 1086, 1530, 1009, 25536, 1068, 2837, 1094, 9365 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5015, 1009, 29699, 8470, 1178, 2072, 2987, 2950, 1044, 7025, 25582, 1068, 1044, 6902, 1048, 1299, 1566, 10661, 1159, 5231, 1206, 1094, 10996, 10678, 1196, 1511, 4327, 3661, 1184, 3997, 1006, 1044, 6902, 1049, 1048, 1026, 2540, 9780, 7766, 24648, 11335, 1160, 25179, 1918, 1009, 5707, 19613, 3064, 17878, 8, 1049, 10227, 42, 11941, 1324, 1571, 1132, 5015, 10166, 1133, 1202, 1184, 5376, 1049, 1048, 1857, 2540, 4433, 7, 1776, 2268, 1096, 1493, 1184, 3707, 1419, 1044, 11237, 13354, 6638, 1009, 16468, 12063, 1480, 1206, 8402, 17039, 1005, 9007, 1054, 1044, 2788, 1048, 1596, 5503, 19320, 1257, 14178, 32, 1505, 1048, 1299, 11694, 15629, 39, 37, 2034, 6286, 1207, 1085, 77, 13317, 1063, 1167, 16850, 2643, 2281, 8044, 1312, 1054, 10830, 1006, 1834, 7048, 1049, 15558, 1009, 18273, 2271, 1048, 2493, 19473, 1006, 12891, 1482, 1044, 8679, 1068, 2997, 1557, 1009, 2922, 1213, 3467, 1009, 18273, 1009, 8067, 2572, 8587, 15671, 9234, 1132, 5015, 9107, 5232, 1068, 6180, 1043, 1132, 12070, 1009, 3159, 1184, 2229, 1916, 7630, 1044, 3609, 4172, 3823, 1006, 2921, 14426, 1068, 3371, 1132, 5015, 1006, 8402, 1235, 14265, 1264, 1160, 1294, 24155, 1006, 2921, 4008, 1009, 4048, 22302, 7215, 1571, 1857, 1826, 1005, 4966, 1224, 7898, 23926, 1119, 1140, 1006, 1200, 6561, 5423, 1049, 8680, 13826, 1114, 9320, 1668, 1195, 1026, 2269, 9994, 1068, 2837, 1044, 3609, 7, 1257, 14178, 32, 5139, 5502, 1225, 15629, 39, 37, 1257, 1207, 1085, 77, 13317, 11743, 39, 1096, 1044, 25902, 15821, 1048, 14016, 1006, 14383, 1009, 5015, 1072, 8680, 13826, 89, 1068, 8402, 3284, 8630, 1072, 1955, 23531, 1005, 1072, 10227, 42, 11941, 1802, 1138, 15629, 39, 1225, 1791, 5834, 32, 1094, 4169, 17266, 1048, 3629, 1132, 5015, 1006, 9066, 1224, 7102, 1009, 5942, 20675, 1005, 7404, 6397, 1068, 3284, 8630, 1005, 1094, 4169, 5500, 4747, 1048, 3191, 11103, 1107, 1043, 1026, 1063, 1167, 16850, 21677, 11793, 1606, 1068, 7508, 3284, 2247, 1187, 8654, 1060, 8680, 1009, 6653, 12627, 1063, 15629, 39, 5325, 1072, 4025, 1049, 17829, 1026, 1048, 3901, 1048, 2598, 5608, 1508, 3284, 1213, 1428, 1026, 3142, 1160, 1225, 3177, 20, 1063, 3780, 1298, 4524, 1717, 2539, 6824, 1009, 30374, 1166, 1175, 1068, 3371, 1006, 6679, 1006, 12070, 3441, 1010, 1005, 22255, 1858, 1072, 2269, 1206, 1054, 1094, 2360, 7102, 1072, 10227, 42, 15522, 1206, 1114, 13774, 1009, 7111, 4475, 1257, 14178, 32, 2800, 1299, 3108, 1079, 1026, 15629, 39, 37, 1257, 1207, 1085, 77, 13317, 1063, 1167, 16850, 1225, 2281, 1044, 1187, 4181, 1006, 16505, 5908, 1005, 21673, 27784, 1118, 2864, 14653, 1048, 1058, 24234, 9673, 1009, 15387, 1026, 1048, 15320, 1508, 1511, 1058, 5632, 1009, 30390, 1114, 10326, 4830, 30375, 6044, 6011, 1006, 5741, 1009, 11542, 1132, 9789, 1005, 15438, 1060, 1834, 1114, 16582, 1175, 1026, 1048, 3901, 1048, 1857, 3586, 7021, 7106, 1068, 16505, 2930, 25902, 15821, 1068, 3371, 1043, 2088, 1009, 1456, 12070, 1184, 2229, 1916, 1257, 14178, 32, 2800, 1195, 1006, 3484, 1271, 3235, 37, 1257, 1207, 1085, 77, 13317, 1138, 28519, 1049, 3142, 1852, 1225, 2281, 1044, 16951, 2512, 1054, 30582, 1009, 3140, 8700, 3259, 3306, 5763, 25331, 3235, 4029, 1005, 1495, 1592, 5908, 1043, 2759, 1009, 18273, 4863, 20, 3204, 1225, 2281, 1044, 1807, 5628, 1054, 3349, 1054, 2869, 1233, 4022, 1049, 3099, 7, 1257, 14178, 32, 1482, 1048, 1184, 1299, 1325, 7187, 37, 1207, 1085, 77, 13317, 15629, 39, 7813, 1792, 1044, 6502, 2512, 1175, 1299, 3135, 5574, 1132, 5015, 1571, 1857, 1826, 20, 14530, 26184, 1068, 2593, 7187, 1068, 7005, 2653, 1184, 3195, 1060, 1063, 1167, 16850, 5232, 1068, 1132, 5015, 9107, 2328, 1060, 2921, 3023, 1049, 25902, 15821, 15629, 2722, 1005, 9301, 10514, 1184, 5856, 14071, 1294, 7024, 3952, 1879, 15629, 2722, 1026, 25902, 15821, 8744, 1357, 1063, 1167, 16850, 18, 5325, 3611, 3992, 1726, 14383, 1049, 3142, 1072, 8680, 13826, 89, 1068, 8402, 3284, 8630, 1072, 1955, 23531, 1005, 1072, 10227, 42, 11941, 1802, 1138, 15629, 39, 1225, 1791, 5834, 32, 1094, 4169, 17266, 1048, 3629, 1132, 5015, 1006, 9066, 1224, 7102, 1009, 5942, 20675, 1005, 7404, 6397, 1068, 3284, 8630, 1005, 1094, 4169, 5500, 4747, 1048, 3191, 11103, 1107, 1043, 1026, 1063, 1167, 16850, 21677, 11793, 1606, 1068, 7508, 3284, 2247, 1187, 8654, 1060, 8680, 1009, 6653, 12627, 1138, 15629, 39, 5325, 1072, 4025, 1049, 17829, 1026, 1048, 3901, 1048, 2598, 3902, 3284, 1213, 1428, 1026, 3142, 1160, 1225, 3177, 20, 1138, 15629, 39, 1298, 13595, 1054, 2539, 6824, 1009, 30374, 1166, 1005, 22255, 1858, 1072, 2269, 1206, 1054, 1094, 2360, 7102, 1072, 10227, 42, 15522, 1206, 24384, 7132, 1049, 27189, 1551, 2303, 1043, 3753, 1207, 1085, 77, 1400, 12884, 1009, 6973, 1009, 3195, 1060, 1063, 1167, 16850, 18, 3805, 89, 1009, 2011, 1159, 1026, 15629, 39, 1693, 3371, 1043, 8823, 11946, 1452, 1048, 2739, 2624, 1058, 7017, 1072, 3439, 1009, 8823, 3946, 1392, 4412, 1048, 19538, 1046, 1006, 11174, 31223, 1063, 3484, 1271, 3235, 1213, 15629, 39, 1195, 4286, 5160, 1005, 1006, 1063, 1167, 16850, 1325, 24195, 1054, 7005, 1184, 3195, 5232, 1068, 1132, 5015, 9107, 2328, 1049, 1592, 1033, 9679, 25902, 15821, 20, 1, 8454, 1044, 7189, 7566, 1068, 1668, 31187, 1172, 93, 2077, 2020, 7724, 3498, 3755, 18, 1044, 10451, 1054, 1373, 1081, 1416, 1169, 1081, 1780, 1060, 10509, 1049, 2709, 1048, 2284, 16064, 1069, 3056, 16992, 1114, 3780, 1009, 7875, 1090, 1046, 1021, 2565, 1195, 14613, 3073, 1694, 95, 1009, 17281, 2616, 1456, 11409, 1005, 2411, 1279, 96, 7716, 9996, 1009, 3780, 1049, 2671, 675, 4016, 93, 2077, 1313, 7724, 3498, 3755, 18, 4472, 1018, 5240, 1230, 1291, 1054, 1373, 1081, 1416, 1060, 10509, 1049, 7247, 1195, 5077, 27860, 1009, 17281, 2616, 1456, 7896, 1009, 3780, 1005, 2411, 1279, 96, 7716, 9996, 1009, 3780, 1049, 18837, 1207, 93, 2077, 1566, 2284, 16064, 1069, 3056, 16992, 1114, 3780, 1009, 7875, 5786, 2440, 3426, 1309, 1569, 24240, 1596, 1184, 3232, 14123, 27344, 1075, 1032, 1728, 1, 11772, 7943, 4889, 9870, 3398, 16843, 1060, 2348, 4214, 29957, 1009, 21210, 1006, 1752, 3681, 4777, 10887, 2653, 23134, 1573, 12515, 1048, 4343, 4480, 3398, 16843, 1009, 1224, 4214, 29957, 1009, 21210, 1006, 1752, 22085, 1063, 3364, 1187, 3145, 23134, 5430, 1159, 5809, 3529, 11497, 21789, 1870, 2079, 6575, 1229, 5931, 4396, 19806, 1005, 14261, 72, 19828, 1664, 1132, 19597, 2925, 1187, 4679, 16843, 1009, 8340, 1009, 2383, 12087, 8124, 20, 3713, 1318, 1298, 2808, 3398, 16843, 1009, 1224, 4214, 29957, 1054, 7458, 1159, 8952, 89, 6707, 1678, 3650, 7551, 73, 2679, 1005, 1119, 3083, 49, 4134, 17764, 13711, 1916, 1257, 2358, 1549, 1096, 1044, 7228, 1365, 1044, 6819, 1005, 1044, 3356, 6633, 1138, 6819, 1325, 27011, 1322, 3473, 22325, 11473, 1044, 6737, 1009, 13490, 1060, 4380, 6268, 1685, 1005, 31624, 6750, 1357, 3484, 6268, 1685, 1005, 1049, 28331, 6633, 29343, 1371, 1009, 1048, 1026, 6268, 1577, 7845, 1118, 1048, 1857, 6470, 1006, 1224, 14346, 1138, 12590, 1298, 4347, 2073, 2285, 1009, 10842, 2223, 1138, 6268, 1577, 1976, 4347, 1356, 2444, 2156, 10842, 2223, 1, 1159, 5325, 1026, 2380, 1009, 3759, 1199, 90, 6722, 1950, 1056, 12654, 8724, 31580, 90, 17487, 1096, 1044, 3957, 1009, 8533, 4254, 1312, 1294, 2138, 2365, 1054, 3484, 1679, 8332, 1009, 2475, 1009, 26573, 21980, 79, 1094, 2700, 1009, 26943, 24396, 1006, 19077, 1006, 3227, 3267, 1049, 6402, 2966, 1026, 4465, 1187, 11262, 1271, 13327, 1009, 6446, 1060, 3940, 1005, 1006, 9330, 1060, 8859, 1009, 25224, 8359, 11048, 1138, 7355, 1318, 5631, 26943, 1048, 23147, 1006, 4008, 1049, 2671, 1009, 20738, 1005, 23367, 2266, 1322, 7539, 1005, 4440, 19683, 1009, 8359, 9144, 1257, 1138, 29460, 31580, 1076, 1096, 13831, 1054, 2539, 2833, 9680, 1752, 1044, 1187, 2688, 1058, 20063, 1054, 1044, 10474, 3630, 1060, 3227, 18047, 11693, 1271, 3145, 26943, 1049, 7355, 5241, 32, 1257, 36, 3125, 29566, 1026, 7414, 1009, 8084, 2854, 71, 1005, 1026, 26987, 1009, 8084, 2854, 71, 1257, 3125, 30030, 1754, 1132, 11262, 1271, 13327, 1009, 6446, 1060, 17376, 2966, 1006, 4008, 1009, 20738, 1005, 23367, 2266, 1322, 7539, 1005, 4440, 19683, 1009, 8359, 1876, 1257, 3125, 26662, 1330, 1130, 1006, 8859, 1009, 3638, 26477, 1068, 7243, 1094, 8962, 11818, 1009, 10522, 1257, 3125, 3292, 2014, 1130, 1068, 1006, 2500, 2101, 1005, 1009, 26520, 1009, 6486, 1009, 8359, 1876, 1160, 3577, 1041, 1253, 51, 1729, 2940, 1124, 21317, 1009, 13012, 1009, 8600, 2328, 1049, 2490, 1009, 11511, 1009, 14590, 1005, 1734, 13832, 1009, 21022, 1009, 8600, 1257, 3125, 30030, 1754, 1006, 4008, 1060, 6446, 1060, 3940, 1068, 8748, 2266, 1005, 5589, 1024, 1456, 9191, 2328, 1049, 2490, 1009, 5061, 1009, 21022, 1009, 2266, 1005, 2089, 6099, 1257, 1257, 1138, 29460, 31580, 1076, 1225, 2281, 2382, 18255, 2246, 1195, 28999, 1118, 2997, 1213, 2671, 1493, 1622, 1005, 1118, 1869, 2107, 1130, 1132, 3997, 10010, 1005, 5551, 2233, 2223, 11693, 1783, 16217, 1412, 1048, 1026, 7355, 4715, 1006, 13410, 1010, 1009, 1622, 1005, 1048, 5341, 1079, 1169, 2099, 1266, 2299, 1250, 10592, 25997, 1159, 22743, 1005, 15081, 20, 1257, 1257, 1138, 92, 1669, 5972, 1026, 8724, 31580, 90, 17487, 1096, 1044, 3957, 9885, 1005, 2382, 18255, 1009, 8533, 1048, 2569, 1044, 5802, 10745, 1114, 3227, 3267, 1005, 1114, 6446, 1060, 3940, 1049, 7751, 1, 8454, 1044, 2859, 1009, 3780, 1322, 1006, 2042, 1060, 8423, 1211, 13233, 1124, 17724, 1009, 2625, 7328, 1009, 3374, 1005, 21942, 1006, 8172, 1187, 11819, 1005, 6306, 1009, 8423, 1213, 2729, 1009, 2625, 12059, 1009, 8410, 5024, 2011, 1318, 1976, 28202, 1026, 5802, 1009, 4203, 3774, 3368, 5376, 9790, 1005, 7328, 3732, 1322, 1026, 3090, 1060, 8423, 20, 3423, 2668, 15759, 9066, 6353, 8745, 1005, 1569, 12055, 1068, 1026, 3428, 1005, 7449, 1132, 7002, 15568, 1054, 2625, 14236, 2453, 1060, 30438, 1159, 12296, 1100, 4090, 6495, 1834, 20006, 1005, 3374, 12415, 6045, 1113, 5359, 12006, 1257, 1257, 1063, 8423, 1096, 1094, 1271, 5480, 1009, 3374, 1184, 9814, 12411, 1357, 12718, 1005, 1224, 2042, 1298, 1178, 1211, 9894, 1495, 1132, 5635, 5896, 1554, 4116, 2729, 1187, 31972, 1006, 8423, 31039, 1005, 1058, 17283, 1009, 12508, 1009, 8756, 13896, 1068, 3374, 31223, 1138, 3090, 1060, 8423, 1225, 2281, 20019, 1118, 2539, 7328, 1009, 12939, 5376, 3732, 1005, 26763, 4203, 14211, 1005, 16992, 3065, 3214, 5345, 3204, 2011, 1009, 3780, 5544, 8038, 1006, 2042, 1060, 8423, 1211, 13233, 1124, 17724, 1009, 2625, 7328, 1009, 3374, 1005, 21942, 1006, 8172, 1009, 11819, 1009, 8423, 1005, 6306, 1213, 2729, 1009, 2625, 12059, 1009, 8410, 1138, 2859, 1318, 30215, 1945, 1026, 5802, 1009, 4203, 3774, 3368, 5376, 9790, 1005, 7328, 3732, 1322, 1026, 3090, 1060, 8423, 20, 3423, 2668, 1026, 2859, 5365, 1945, 6353, 8745, 1005, 1569, 12055, 1068, 1026, 16361, 1005, 6879, 1945, 1132, 7002, 1005, 14236, 15568, 2453, 1060, 30438, 1159, 12296, 1100, 4090, 6495, 1834, 20006, 1005, 3374, 12415, 6045, 20, 1257, 1257, 22308, 1793, 14302, 1257, 1257, 1063, 8423, 1298, 1178, 9030, 1140, 1495, 1132, 5635, 26842, 1571, 1195, 5483, 1068, 14894, 1005, 16412, 4203, 1005, 14417, 4412, 20, 17301, 3716, 1009, 8756, 13896, 1060, 1516, 30447, 21375, 1327, 1132, 1184, 7739, 8512, 8903, 1009, 30438, 1048, 6029, 1012, 1046, 1006, 2916, 1009, 2595, 6435, 13619, 14327, 12508, 1596, 16474, 2301, 5850, 7959, 1159, 1738, 3694, 19317, 1005, 26799, 1005, 4601, 12296, 1312, 1009, 5513, 1005, 11699, 3963, 1728, 1257, 1776, 5485, 27743, 1006, 8423, 1195, 5483, 1068, 5486, 1439, 1124, 9136, 1187, 1030, 1822, 2216, 1005, 12916, 1554, 1138, 3239, 16782, 2580, 1009, 8423, 1195, 25350, 1118, 1094, 1090, 6226, 18920, 1233, 1871, 1005, 4694, 2762, 1005, 1026, 2490, 1009, 5281, 16074, 2954, 6997, 1766, 16782, 10442, 1318, 25294, 1006, 6085, 1009, 8423, 1054, 2232, 20430, 13812, 1048, 2747, 1785, 2549, 1829, 1337, 1005, 5937, 1009, 30433, 1009, 1345, 3089, 1043, 26151, 9974, 20, 1257, 1257, 7669, 16998, 1257, 1257, 2494, 4180, 5368, 1961, 1006, 8423, 1195, 15514, 1006, 1094, 1871, 1009, 3596, 3374, 20, 1766, 24705, 1005, 17185, 25294, 1044, 3239, 3888, 1291, 1009, 8423, 1048, 12305, 8912, 1006, 3938, 1060, 1871, 22460, 1063, 8423, 19721, 1195, 24776, 1356, 2490, 1009, 5281, 8374, 3273, 7593, 19849, 1575, 11565, 1005, 1044, 7051, 1114, 6627, 22460, 1063, 8423, 5128, 1126, 1118, 2143, 6079, 1516, 1184, 5486, 29696, 13522, 13381, 19677, 1166, 1005, 5281, 3154, 1728, 1257, 5845, 1026, 3041, 12870, 1672, 1006, 8423, 1195, 6097, 1140, 1118, 7002, 8657, 1229, 1005, 1026, 3239, 1195, 25350, 1118, 4601, 1536, 5817, 1005, 1080, 27428, 1918, 20, 1776, 6377, 20444, 1120, 4693, 1124, 12508, 1596, 16474, 2301, 1094, 6085, 3806, 5190, 1009, 9053, 1100, 1048, 2747, 1785, 28177, 26151, 9974, 1043, 1086, 1530, 1009, 25536, 1068, 2837, 1094, 9365 ]

[ 3303, 1711, 12127, 9313, 11593, 12484, 7036, 3313, 14974, 20992, 5, 5073, 1711, 1587, 5581, 1870, 12484, 4011, 1059, 5238, 1711, 7712, 1483, 4366, 1937, 5523, 95, 4358, 12484, 13970, 1438, 1059, 4864, 1711, 1119, 1468, 1106, 14053, 1220, 13812, 20981, 1291, 26247, 3242, 13818, 3133, 1012, 12983, 1213, 3009, 7745, 1257, 1487, 1404, 1711, 3381, 11284, 20044, 9461, 1009, 30608, 13024, 9726, 3377, 1675, 5235, 1711, 28636, 1193, 2139, 12877, 4026, 27669, 13024, 5251, 25, 3377, 1844, 3502, 1711, 17271, 12877, 4026, 1009, 13700, 13024, 1799, 13113, 3377, 2523, 12599, 1711, 1387, 11823, 17436, 12877, 2383, 14517, 1049, 18324, 1035, 13024, 2224, 5871, 3377, 1782, 5988, 1711, 5260, 8840, 1645, 1196, 1009, 4365, 2334, 1761, 16436, 1060, 1982, 2795, 1034, 13024, 9726, 3377, 1984, 3876, 1711, 10653, 1060, 26680, 9056, 1060, 17760, 13024, 9377, 23, 3377, 1984, 5871, 1711, 9893, 12183, 11225, 11238, 1009, 5306, 1013, 2196, 10311, 4431, 13024, 1984, 3487, 3377, 1984, 5562, 1711, 13470, 1142, 1730, 84, 19068, 1395, 9465, 1005, 22238, 3862, 1076, 7036, 13024, 1984, 2944, 3377, 1984, 4700, 1711, 7083, 29001, 8920, 14604, 20678, 2673, 13024, 28114, 3377, 1984, 6418, 1711, 16825, 1067, 2450, 1678, 10311, 1005, 27999, 7719, 13024, 2322, 10997, 3377, 2182, 4994, 1711, 26803, 1163, 1208, 1153, 1396, 1678, 1026, 11877, 3982, 14604, 31183, 10753, 13024, 1984, 14525, 3377, 2182, 6795, 1711, 13700, 1387, 2137, 2037, 1395, 5479, 1100, 2566, 1005, 2687, 1829, 1291, 12984, 13024, 1984, 4829, 3377, 2128, 4059, 1711, 4687, 18365, 2633, 18, 10311, 1005, 27999, 9534, 13024, 2182, 4700, 3377, 2128, 5861, 1711, 21927, 7695, 1399, 167, 4389, 1157, 84, 1803, 3869, 2212, 5486, 6952, 1009, 7154, 1005, 16113, 27669, 19, 1897, 2673, 13024, 31186, 6877, 3313, 14974, 7745, 1257, 1578, 4406, 1711, 4226, 19074, 1330, 1207, 158, 1035, 4098, 18, 26318, 1291, 1005, 9171, 5976, 13024, 2128, 12730, 3377, 1578, 6507, 1711, 23118, 19905, 24539, 6928, 1803, 12393, 1005, 15591, 9534, 13024, 2128, 6418, 3377, 8139, 23, 1711, 1338, 1375, 1056, 1084, 8998, 1446, 6605, 1126, 6971, 1005, 10311, 18957, 13024, 8570, 27, 3377, 1578, 5562, 1711, 16860, 11127, 6473, 2399, 1683, 1302, 78, 3529, 15044, 1005, 5098, 5976, 13024, 8570, 31, 3377, 1578, 6795, 1711, 9129, 26351, 1051, 19465, 18, 6623, 2274, 3888, 1291, 1005, 15044, 7719, 13024, 2128, 4325, 3377, 1578, 7678, 1711, 16040, 15547, 28612, 9565, 9614, 17571, 1248, 1108, 72, 3933, 10311, 1005, 21134, 7719, 13024, 2128, 7560, 3377, 1578, 5988, 1711, 6001, 9316, 2960, 1925, 1326, 18, 23742, 1005, 9757, 5976, 13024, 1578, 1839, 3377, 5614, 27, 1711, 8964, 6656, 1009, 1603, 1182, 2339, 14928, 1905, 1005, 5098, 4894, 13024, 18977, 7375, 3313, 14974, 5678, 1257, 29157, 1711, 14090, 26536, 158, 15947, 3694, 15591, 1005, 5098, 18957, 13024, 1578, 2337, 3377, 13144, 1711, 4321, 2861, 1036, 19754, 7438, 1117, 2196, 7184, 13779, 15044, 1005, 24591, 9534, 13024, 4658, 25, 3377, 21819, 1711, 7694, 1570, 2673, 1009, 16551, 10311, 4011, 13024, 8139, 29, 3377, 16535, 1711, 3512, 1106, 2260, 1009, 3769, 78, 4358, 1761, 16436, 1009, 10213, 13024, 1578, 7795, 3377, 19332, 1711, 15129, 1163, 5725, 24706, 16113, 1005, 15706, 1291, 5976, 13024, 1578, 6795, 3377, 21102, 1711, 2045, 29656, 16921, 3789, 1126, 21137, 1005, 9757, 7719, 13024, 1578, 4705, 3377, 18788, 1711, 15232, 1078, 1214, 6459, 3926, 3759, 1021, 1348, 15794, 12057, 13024, 1578, 8360, 3377, 17838, 1711, 31445, 3769, 1077, 7076, 17719, 1056, 1291, 4011, 13024, 1578, 5562, 3377, 18653, 1711, 30882, 1067, 1263, 23561, 31494, 1291, 9046, 13024, 1578, 5205, 3377, 14603, 1711, 1134, 1130, 1498, 17920, 23561, 22890, 27377, 13024, 1578, 4829, 3377, 14292, 1711, 9159, 4206, 1035, 24548, 13394, 1348, 1005, 12490, 1009, 7041, 1009, 7087, 9046, 13024, 1578, 6101, 3377, 13912, 1711, 7034, 19381, 30310, 3529, 14604, 1005, 3181, 1348, 9046, 13024, 29325, 3377, 13413, 1711, 14295, 9302, 4950, 1941, 1165, 1803, 12490, 1005, 21134, 12363, 13024, 1578, 4829, 3377, 8911, 1711, 4687, 31611, 13683, 82, 1273, 9495, 1005, 4185, 1291, 9046, 13024, 5614, 30, 3377, 14719, 1711, 3167, 1018, 1609, 12382, 9332, 9661, 168, 1397, 3039, 9046, 13024, 17838, 3377, 13656, 1711, 21907, 2960, 3097, 7197, 5092, 13024, 16535, 3377, 13135, 1711, 6339, 17595, 8271, 22260, 8088, 80, 1348, 1005, 9171, 9046, 13024, 22871, 3377, 11865, 1711, 8722, 30310, 12339, 4530, 1005, 8795, 1009, 26767, 1072, 11953, 15849, 13024, 11380, 3377, 12041, 1711, 15120, 9084, 1259, 1045, 3926, 15044, 1005, 17176, 5098, 7719, 13024, 4658, 23, 3377, 12056, 3008, 11503, 17749, 13446, 78, 2407, 1827, 18, 6273, 9465, 1005, 21134, 9046, 13024, 22942, 3377, 46, 28965, 30843, 1870, 8271, 1005, 4148, 1009, 6450, 9046, 13024, 21878, 3377, 8029, 11479, 5748, 9268, 19129, 3718, 1291, 1005, 4185, 1291, 9046, 13024, 25665, 3377, 56, 14470, 1692, 1018, 2975, 1086, 14792, 1005, 1025, 6567, 22176, 13024, 26267, 3377, 11260, 1711, 2458, 5202, 1062, 14103, 3766, 18, 26826, 4148, 1005, 31888, 1291, 4011, 13024, 16535, 3377, 8163, 1711, 6339, 4499, 86, 7429, 26826, 8271, 1005, 23614, 9046, 13024, 21334, 3377, 6911, 1711, 9129, 3292, 30050, 29748, 9171, 1005, 18382, 9046, 13024, 23491, 3377, 3303, 3141, 175, 78, 162, 16481, 12325, 17988, 9764, 7391, 1009, 9463, 77, 7403, 1084, 2958, 1444, 1803, 7887, 1563, 1060, 24913, 10542, 150, 13, 162, 13024, 21124, 3377, 40, 3979, 1468, 16011, 94, 1803, 9495, 1005, 5098, 10212, 13024, 22363, 3377, 46, 15747, 1142, 6692, 5793, 5958, 18, 7197, 1005, 11848, 7834, 1035, 19, 1223, 1019, 8154, 13024, 21682, 15, 3313, 14974, 20992, 1257, 5073, 1711, 1205, 1179, 3893, 12484, 4011, 13024, 22363, 3377, 5238, 1711, 2946, 1370, 2571, 21998, 1302, 18, 31149, 23614, 1005, 3568, 6814, 13024, 25470, 3377, 4265, 18249, 78, 5697, 3167, 18304, 6159, 9046, 13024, 21264, 3377, 56, 8179, 13558, 5121, 8795, 1009, 30572, 4894, 13024, 23064, 3377, 61, 18066, 1073, 3123, 31192, 8187, 1005, 9171, 9046, 13024, 22319, 3377, 4187, 1940, 1034, 1183, 1207, 1993, 19938, 14011, 1627, 1315, 1095, 4719, 7512, 13024, 20540, 3377, 44, 1885, 2390, 1073, 4563, 2037, 8187, 1005, 1058, 3109, 1243, 4011, 13024, 23747, 15, 1833, 3351, 29882, 30016, 2566, 1005, 2218, 6434, 4011, 13024, 16718, 3377, 42, 3889, 95, 5311, 78, 1396, 2196, 8187, 1005, 9171, 15849, 13024, 22319, 3377, 46, 21425, 1119, 2970, 18, 8497, 1005, 8746, 30675, 19, 5165, 7400, 13024, 21102, 3377, 57, 26132, 9550, 1631, 13484, 23599, 3467, 9046, 13024, 19643, 3377, 3917, 1940, 1885, 1018, 12917, 9113, 8746, 9046, 13024, 24359, 3377, 57, 3789, 30027, 1073, 1723, 78, 1095, 5920, 5958, 9046, 13024, 21819, 3377, 4238, 1711, 2376, 14723, 1034, 12326, 1707, 6277, 22360, 18970, 2860, 13024, 13135, 3377, 3837, 1711, 1073, 1685, 80, 1252, 1073, 4906, 12484, 1155, 17098, 1438, 13024, 16718, 3377, 4119, 2555, 1214, 78, 214, 1344, 214, 24900, 23599, 1009, 12563, 169, 12363, 13024, 14393, 3377, 3255, 1056, 3127, 6146, 4530, 1005, 9989, 1009, 22840, 9046, 13024, 11380, 3377, 4210, 1711, 5542, 2878, 96, 3529, 20981, 1291, 5976, 13024, 22653, 3377, 3973, 3141, 31802, 9075, 13764, 12632, 1185, 1291, 1005, 3300, 17980, 1291, 9046, 13024, 13144, 15, 1833, 90, 17878, 1067, 1399, 1126, 4148, 1005, 23614, 10212, 13024, 26267, 3377, 57, 1208, 2787, 14001, 5958, 12889, 13024, 22048, 3377, 4161, 18762, 6538, 3645, 7708, 1128, 2902, 1014, 1362, 1100, 22890, 1009, 9418, 27377, 13024, 3310, 5463, 3021, 1706, 1045, 4226, 4432, 18, 6159, 9046, 13024, 20556, 3377, 21553, 1029, 6145, 4648, 5121, 7197, 5092, 13024, 22695, 3377, 21182, 6345, 2079, 1179, 2812, 24900, 4185, 3382, 21134, 1005, 14928, 1905, 4011, 13024, 2879, 7375, 2904, 1024, 2871, 11123, 14759, 3237, 1103, 6657, 9989, 4011, 13024, 20890, 3377, 4053, 2503, 1017, 28742, 4735, 8920, 5958, 9046, 13024, 22871, 16075, 20230, 1034, 2346, 1324, 5958, 9046, 13024, 2879, 4681, 2904, 11433, 1009, 7706, 29930, 13359, 24759, 24152, 4011, 13024, 2879, 6456, 1533, 2796, 9836, 10732, 5165, 13491, 17976, 25467, 9046, 13024, 18653, 3377, 4229, 2324, 13722, 1163, 1226, 96, 1870, 9006, 9465, 9046, 13024, 23747, 3377, 58, 5697, 4247, 1222, 5121, 3092, 1060, 31272, 9046, 13024, 14393, 3377, 58, 1171, 24377, 3889, 1126, 24944, 19624, 1438, 13024, 11436, 3377, 45, 1396, 2946, 4041, 22890, 21391, 14630, 13024, 18788, 3377, 3209, 1759, 22859, 18709, 3755, 19, 4075, 9989, 24910, 1577, 13024, 24359, 3377, 48, 1053, 4591, 4242, 1065, 2975, 13433, 9046, 13024, 23064, 13747, 1012, 3809, 1009, 30295, 4523, 29345, 9989, 4011, 13024, 23747, 3377, 56, 31802, 7536, 1119, 1302, 12339, 21137, 9046, 13024, 20540, 3377, 4579, 3008, 1046, 1633, 2077, 2735, 1803, 5051, 3745, 1095, 10958, 1497, 13024, 23491, 3377, 64, 71, 15977, 12484, 4011, 13024, 22363, 3377, 45, 1432, 8132, 2929, 166, 1126, 12484, 27225, 13024, 22319, 3377, 44, 1045, 3390, 1633, 1020, 10251, 22360, 21594, 1005, 5098, 2712, 1070, 2673, 13024, 21334, 3377, 6391, 1711, 1163, 14880, 1528, 1228, 2796, 2732, 18, 6159, 5976, 13024, 2026, 6456, 3110, 1014, 3259, 1005, 4203, 1011, 30446, 1391, 1257, 4226, 2408, 1049, 5401, 4124, 1114, 26436, 22595, 1059, 6682, 1009, 2735, 2212, 1863, 16656, 1187, 1488, 13921, 10144, 1005, 1187, 2208, 92, 1121, 1114, 21508, 31269, 1145, 3868, 1405, 5424, 1647, 8706, 1257, 2376, 1540, 1304, 1049, 13457, 1009, 10361, 16091, 1764, 2434, 2474, 3101, 16161, 1257, 27887, 2673, 1009, 1142, 1085, 9442, 7980, 1009, 1228, 4875, 11119, 5, 9881, 2478, 1626, 3728, 5, 10974, 1009, 2013, 31140, 18344, 1205, 1075, 1042, 1577, 3436, 9657, 2383, 1444, 1480, 1257, 1776, 11769, 15678, 1516, 1026, 17759, 0, 1531, 2061, 1996, 1271, 2383, 8081, 1009, 3403, 1059, 1776, 11769, 3278, 11634, 1221, 1225, 1006, 10421, 6097, 2867, 1084, 1068, 1026, 1531, 1060, 3757, 1059, 1776, 11769, 11394, 1017, 2673, 1006, 3405, 1139, 1076, 1049, 1531, 1096, 2311, 79, 3158, 1, 13382, 16033, 14211, 1537, 15166, 1711, 19233, 15678, 3270, 3817, 9642, 3201, 1118, 1224, 21535, 1005, 1169, 7770, 1876, 1015, 25602, 2274, 1096, 23259, 1118, 1456, 22167, 1020, 4430, 28987, 1244, 1922, 31180, 1063, 9515, 2276, 17081, 71, 1026, 19705, 1009, 3270, 3817, 9642, 13962, 1302, 2037, 1159, 19233, 1059, 1844, 3502, 1711, 23698, 1060, 1944, 13321, 9901, 1938, 1236, 1049, 14539, 1059, 2322, 5963, 1711, 29116, 1009, 6425, 3951, 1034, 5909, 1222, 1026, 8985, 15001, 7400, 7802, 1059, 2322, 9595, 1711, 4285, 1773, 1242, 3258, 15663, 1093, 1096, 4107, 4026, 1060, 18038, 1059, 1984, 4994, 1711, 1138, 4026, 7980, 20644, 1060, 5507, 5658, 1044, 7279, 1890, 1094, 3579, 1126, 7439, 1006, 1094, 13799, 22723, 1059, 2182, 14392, 1711, 3578, 1009, 5683, 27239, 32, 14312, 1436, 7036, 1016, 1005, 6901, 10025, 1018, 5036, 1094, 6127, 10374, 2672, 6311, 1157, 1006, 29977, 5545, 17750, 1054, 2182, 8037, 1005, 2182, 5871, 1059, 2128, 8121, 1711, 1138, 1264, 2834, 1060, 23322, 1005, 1318, 4026, 1060, 2695, 1725, 1034, 4243, 11123, 1096, 4107, 10601, 1035, 19233, 3394, 4906, 18579, 1026, 1720, 18035, 1009, 4243, 14217, 1059, 2128, 9595, 1711, 5845, 1006, 3578, 1187, 19801, 2376, 1229, 1132, 3145, 15480, 3849, 1018, 1009, 1344, 9857, 1122, 89, 5656, 1058, 11916, 1040, 1006, 10653, 1060, 17273, 14140, 1992, 1026, 1138, 1245, 1593, 1009, 16921, 28732, 1905, 1059, 1578, 4673, 1711, 6377, 1049, 23185, 2493, 1648, 1006, 14619, 1076, 1187, 4735, 9041, 5077, 1026, 1712, 1756, 1526, 1009, 8061, 6816, 1060, 2042, 1049, 1561, 1059, 8139, 29, 1711, 1063, 2828, 1009, 3270, 73, 1088, 150, 1096, 23187, 8916, 1159, 1006, 1944, 12048, 1009, 17778, 3282, 1072, 3821, 1060, 11944, 1059, 1578, 6955, 1711, 1766, 23945, 1166, 2365, 1060, 1082, 3333, 20443, 1005, 2882, 22005, 19778, 3232, 15854, 28148, 15, 1327, 25251, 1159, 1094, 11221, 4987, 1288, 1026, 2671, 1009, 4660, 84, 2834, 10039, 3381, 5393, 2112, 1059, 1578, 6507, 1711, 16414, 1236, 1049, 5638, 1114, 11541, 32, 6669, 10100, 27398, 3250, 5638, 1054, 1067, 21291, 3490, 9571, 4236, 1009, 10601, 5457, 1059, 1578, 6955, 1711, 23945, 1166, 2365, 1060, 2882, 22005, 1005, 1082, 3333, 20443, 19778, 3232, 15854, 23945, 1069, 1060, 28148, 15, 1598, 13047, 1159, 1094, 11221, 4987, 1288, 1026, 2671, 1009, 10039, 3381, 5393, 2112, 1059, 9856, 24, 1711, 19109, 1301, 2701, 1096, 17081, 1140, 1006, 3861, 1060, 28148, 1059, 25665, 1711, 1138, 1831, 2417, 1009, 2617, 90, 1689, 1096, 12194, 1114, 5507, 1118, 5542, 30470, 4273, 2456, 2057, 1059, 25443, 1711, 8020, 3578, 3747, 32, 1132, 5242, 1544, 1009, 4095, 1060, 3279, 1134, 9322, 28107, 1288, 1026, 4133, 1049, 8231, 16507, 18279, 14254, 5569, 3788, 3624, 95, 21206, 1132, 5242, 1544, 1009, 4095, 1049, 1717, 12052, 83, 18279, 12210, 9614, 14306, 1364, 1114, 10556, 1009, 19170, 3265, 17812, 1059, 22710, 1711, 3270, 7718, 11394, 1017, 2673, 1096, 21423, 1114, 7500, 1118, 12419, 1049, 5019, 1049, 1424, 1398, 22510, 1049, 18145, 1059, 16718 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3303, 1711, 12127, 9313, 11593, 12484, 7036, 3313, 14974, 20992, 5, 5073, 1711, 1587, 5581, 1870, 12484, 4011, 1059, 5238, 1711, 7712, 1483, 4366, 1937, 5523, 95, 4358, 12484, 13970, 1438, 1059, 4864, 1711, 1119, 1468, 1106, 14053, 1220, 13812, 20981, 1291, 26247, 3242, 13818, 3133, 1012, 12983, 1213, 3009, 7745, 1257, 1487, 1404, 1711, 3381, 11284, 20044, 9461, 1009, 30608, 13024, 9726, 3377, 1675, 5235, 1711, 28636, 1193, 2139, 12877, 4026, 27669, 13024, 5251, 25, 3377, 1844, 3502, 1711, 17271, 12877, 4026, 1009, 13700, 13024, 1799, 13113, 3377, 2523, 12599, 1711, 1387, 11823, 17436, 12877, 2383, 14517, 1049, 18324, 1035, 13024, 2224, 5871, 3377, 1782, 5988, 1711, 5260, 8840, 1645, 1196, 1009, 4365, 2334, 1761, 16436, 1060, 1982, 2795, 1034, 13024, 9726, 3377, 1984, 3876, 1711, 10653, 1060, 26680, 9056, 1060, 17760, 13024, 9377, 23, 3377, 1984, 5871, 1711, 9893, 12183, 11225, 11238, 1009, 5306, 1013, 2196, 10311, 4431, 13024, 1984, 3487, 3377, 1984, 5562, 1711, 13470, 1142, 1730, 84, 19068, 1395, 9465, 1005, 22238, 3862, 1076, 7036, 13024, 1984, 2944, 3377, 1984, 4700, 1711, 7083, 29001, 8920, 14604, 20678, 2673, 13024, 28114, 3377, 1984, 6418, 1711, 16825, 1067, 2450, 1678, 10311, 1005, 27999, 7719, 13024, 2322, 10997, 3377, 2182, 4994, 1711, 26803, 1163, 1208, 1153, 1396, 1678, 1026, 11877, 3982, 14604, 31183, 10753, 13024, 1984, 14525, 3377, 2182, 6795, 1711, 13700, 1387, 2137, 2037, 1395, 5479, 1100, 2566, 1005, 2687, 1829, 1291, 12984, 13024, 1984, 4829, 3377, 2128, 4059, 1711, 4687, 18365, 2633, 18, 10311, 1005, 27999, 9534, 13024, 2182, 4700, 3377, 2128, 5861, 1711, 21927, 7695, 1399, 167, 4389, 1157, 84, 1803, 3869, 2212, 5486, 6952, 1009, 7154, 1005, 16113, 27669, 19, 1897, 2673, 13024, 31186, 6877, 3313, 14974, 7745, 1257, 1578, 4406, 1711, 4226, 19074, 1330, 1207, 158, 1035, 4098, 18, 26318, 1291, 1005, 9171, 5976, 13024, 2128, 12730, 3377, 1578, 6507, 1711, 23118, 19905, 24539, 6928, 1803, 12393, 1005, 15591, 9534, 13024, 2128, 6418, 3377, 8139, 23, 1711, 1338, 1375, 1056, 1084, 8998, 1446, 6605, 1126, 6971, 1005, 10311, 18957, 13024, 8570, 27, 3377, 1578, 5562, 1711, 16860, 11127, 6473, 2399, 1683, 1302, 78, 3529, 15044, 1005, 5098, 5976, 13024, 8570, 31, 3377, 1578, 6795, 1711, 9129, 26351, 1051, 19465, 18, 6623, 2274, 3888, 1291, 1005, 15044, 7719, 13024, 2128, 4325, 3377, 1578, 7678, 1711, 16040, 15547, 28612, 9565, 9614, 17571, 1248, 1108, 72, 3933, 10311, 1005, 21134, 7719, 13024, 2128, 7560, 3377, 1578, 5988, 1711, 6001, 9316, 2960, 1925, 1326, 18, 23742, 1005, 9757, 5976, 13024, 1578, 1839, 3377, 5614, 27, 1711, 8964, 6656, 1009, 1603, 1182, 2339, 14928, 1905, 1005, 5098, 4894, 13024, 18977, 7375, 3313, 14974, 5678, 1257, 29157, 1711, 14090, 26536, 158, 15947, 3694, 15591, 1005, 5098, 18957, 13024, 1578, 2337, 3377, 13144, 1711, 4321, 2861, 1036, 19754, 7438, 1117, 2196, 7184, 13779, 15044, 1005, 24591, 9534, 13024, 4658, 25, 3377, 21819, 1711, 7694, 1570, 2673, 1009, 16551, 10311, 4011, 13024, 8139, 29, 3377, 16535, 1711, 3512, 1106, 2260, 1009, 3769, 78, 4358, 1761, 16436, 1009, 10213, 13024, 1578, 7795, 3377, 19332, 1711, 15129, 1163, 5725, 24706, 16113, 1005, 15706, 1291, 5976, 13024, 1578, 6795, 3377, 21102, 1711, 2045, 29656, 16921, 3789, 1126, 21137, 1005, 9757, 7719, 13024, 1578, 4705, 3377, 18788, 1711, 15232, 1078, 1214, 6459, 3926, 3759, 1021, 1348, 15794, 12057, 13024, 1578, 8360, 3377, 17838, 1711, 31445, 3769, 1077, 7076, 17719, 1056, 1291, 4011, 13024, 1578, 5562, 3377, 18653, 1711, 30882, 1067, 1263, 23561, 31494, 1291, 9046, 13024, 1578, 5205, 3377, 14603, 1711, 1134, 1130, 1498, 17920, 23561, 22890, 27377, 13024, 1578, 4829, 3377, 14292, 1711, 9159, 4206, 1035, 24548, 13394, 1348, 1005, 12490, 1009, 7041, 1009, 7087, 9046, 13024, 1578, 6101, 3377, 13912, 1711, 7034, 19381, 30310, 3529, 14604, 1005, 3181, 1348, 9046, 13024, 29325, 3377, 13413, 1711, 14295, 9302, 4950, 1941, 1165, 1803, 12490, 1005, 21134, 12363, 13024, 1578, 4829, 3377, 8911, 1711, 4687, 31611, 13683, 82, 1273, 9495, 1005, 4185, 1291, 9046, 13024, 5614, 30, 3377, 14719, 1711, 3167, 1018, 1609, 12382, 9332, 9661, 168, 1397, 3039, 9046, 13024, 17838, 3377, 13656, 1711, 21907, 2960, 3097, 7197, 5092, 13024, 16535, 3377, 13135, 1711, 6339, 17595, 8271, 22260, 8088, 80, 1348, 1005, 9171, 9046, 13024, 22871, 3377, 11865, 1711, 8722, 30310, 12339, 4530, 1005, 8795, 1009, 26767, 1072, 11953, 15849, 13024, 11380, 3377, 12041, 1711, 15120, 9084, 1259, 1045, 3926, 15044, 1005, 17176, 5098, 7719, 13024, 4658, 23, 3377, 12056, 3008, 11503, 17749, 13446, 78, 2407, 1827, 18, 6273, 9465, 1005, 21134, 9046, 13024, 22942, 3377, 46, 28965, 30843, 1870, 8271, 1005, 4148, 1009, 6450, 9046, 13024, 21878, 3377, 8029, 11479, 5748, 9268, 19129, 3718, 1291, 1005, 4185, 1291, 9046, 13024, 25665, 3377, 56, 14470, 1692, 1018, 2975, 1086, 14792, 1005, 1025, 6567, 22176, 13024, 26267, 3377, 11260, 1711, 2458, 5202, 1062, 14103, 3766, 18, 26826, 4148, 1005, 31888, 1291, 4011, 13024, 16535, 3377, 8163, 1711, 6339, 4499, 86, 7429, 26826, 8271, 1005, 23614, 9046, 13024, 21334, 3377, 6911, 1711, 9129, 3292, 30050, 29748, 9171, 1005, 18382, 9046, 13024, 23491, 3377, 3303, 3141, 175, 78, 162, 16481, 12325, 17988, 9764, 7391, 1009, 9463, 77, 7403, 1084, 2958, 1444, 1803, 7887, 1563, 1060, 24913, 10542, 150, 13, 162, 13024, 21124, 3377, 40, 3979, 1468, 16011, 94, 1803, 9495, 1005, 5098, 10212, 13024, 22363, 3377, 46, 15747, 1142, 6692, 5793, 5958, 18, 7197, 1005, 11848, 7834, 1035, 19, 1223, 1019, 8154, 13024, 21682, 15, 3313, 14974, 20992, 1257, 5073, 1711, 1205, 1179, 3893, 12484, 4011, 13024, 22363, 3377, 5238, 1711, 2946, 1370, 2571, 21998, 1302, 18, 31149, 23614, 1005, 3568, 6814, 13024, 25470, 3377, 4265, 18249, 78, 5697, 3167, 18304, 6159, 9046, 13024, 21264, 3377, 56, 8179, 13558, 5121, 8795, 1009, 30572, 4894, 13024, 23064, 3377, 61, 18066, 1073, 3123, 31192, 8187, 1005, 9171, 9046, 13024, 22319, 3377, 4187, 1940, 1034, 1183, 1207, 1993, 19938, 14011, 1627, 1315, 1095, 4719, 7512, 13024, 20540, 3377, 44, 1885, 2390, 1073, 4563, 2037, 8187, 1005, 1058, 3109, 1243, 4011, 13024, 23747, 15, 1833, 3351, 29882, 30016, 2566, 1005, 2218, 6434, 4011, 13024, 16718, 3377, 42, 3889, 95, 5311, 78, 1396, 2196, 8187, 1005, 9171, 15849, 13024, 22319, 3377, 46, 21425, 1119, 2970, 18, 8497, 1005, 8746, 30675, 19, 5165, 7400, 13024, 21102, 3377, 57, 26132, 9550, 1631, 13484, 23599, 3467, 9046, 13024, 19643, 3377, 3917, 1940, 1885, 1018, 12917, 9113, 8746, 9046, 13024, 24359, 3377, 57, 3789, 30027, 1073, 1723, 78, 1095, 5920, 5958, 9046, 13024, 21819, 3377, 4238, 1711, 2376, 14723, 1034, 12326, 1707, 6277, 22360, 18970, 2860, 13024, 13135, 3377, 3837, 1711, 1073, 1685, 80, 1252, 1073, 4906, 12484, 1155, 17098, 1438, 13024, 16718, 3377, 4119, 2555, 1214, 78, 214, 1344, 214, 24900, 23599, 1009, 12563, 169, 12363, 13024, 14393, 3377, 3255, 1056, 3127, 6146, 4530, 1005, 9989, 1009, 22840, 9046, 13024, 11380, 3377, 4210, 1711, 5542, 2878, 96, 3529, 20981, 1291, 5976, 13024, 22653, 3377, 3973, 3141, 31802, 9075, 13764, 12632, 1185, 1291, 1005, 3300, 17980, 1291, 9046, 13024, 13144, 15, 1833, 90, 17878, 1067, 1399, 1126, 4148, 1005, 23614, 10212, 13024, 26267, 3377, 57, 1208, 2787, 14001, 5958, 12889, 13024, 22048, 3377, 4161, 18762, 6538, 3645, 7708, 1128, 2902, 1014, 1362, 1100, 22890, 1009, 9418, 27377, 13024, 3310, 5463, 3021, 1706, 1045, 4226, 4432, 18, 6159, 9046, 13024, 20556, 3377, 21553, 1029, 6145, 4648, 5121, 7197, 5092, 13024, 22695, 3377, 21182, 6345, 2079, 1179, 2812, 24900, 4185, 3382, 21134, 1005, 14928, 1905, 4011, 13024, 2879, 7375, 2904, 1024, 2871, 11123, 14759, 3237, 1103, 6657, 9989, 4011, 13024, 20890, 3377, 4053, 2503, 1017, 28742, 4735, 8920, 5958, 9046, 13024, 22871, 16075, 20230, 1034, 2346, 1324, 5958, 9046, 13024, 2879, 4681, 2904, 11433, 1009, 7706, 29930, 13359, 24759, 24152, 4011, 13024, 2879, 6456, 1533, 2796, 9836, 10732, 5165, 13491, 17976, 25467, 9046, 13024, 18653, 3377, 4229, 2324, 13722, 1163, 1226, 96, 1870, 9006, 9465, 9046, 13024, 23747, 3377, 58, 5697, 4247, 1222, 5121, 3092, 1060, 31272, 9046, 13024, 14393, 3377, 58, 1171, 24377, 3889, 1126, 24944, 19624, 1438, 13024, 11436, 3377, 45, 1396, 2946, 4041, 22890, 21391, 14630, 13024, 18788, 3377, 3209, 1759, 22859, 18709, 3755, 19, 4075, 9989, 24910, 1577, 13024, 24359, 3377, 48, 1053, 4591, 4242, 1065, 2975, 13433, 9046, 13024, 23064, 13747, 1012, 3809, 1009, 30295, 4523, 29345, 9989, 4011, 13024, 23747, 3377, 56, 31802, 7536, 1119, 1302, 12339, 21137, 9046, 13024, 20540, 3377, 4579, 3008, 1046, 1633, 2077, 2735, 1803, 5051, 3745, 1095, 10958, 1497, 13024, 23491, 3377, 64, 71, 15977, 12484, 4011, 13024, 22363, 3377, 45, 1432, 8132, 2929, 166, 1126, 12484, 27225, 13024, 22319, 3377, 44, 1045, 3390, 1633, 1020, 10251, 22360, 21594, 1005, 5098, 2712, 1070, 2673, 13024, 21334, 3377, 6391, 1711, 1163, 14880, 1528, 1228, 2796, 2732, 18, 6159, 5976, 13024, 2026, 6456, 3110, 1014, 3259, 1005, 4203, 1011, 30446, 1391, 1257, 4226, 2408, 1049, 5401, 4124, 1114, 26436, 22595, 1059, 6682, 1009, 2735, 2212, 1863, 16656, 1187, 1488, 13921, 10144, 1005, 1187, 2208, 92, 1121, 1114, 21508, 31269, 1145, 3868, 1405, 5424, 1647, 8706, 1257, 2376, 1540, 1304, 1049, 13457, 1009, 10361, 16091, 1764, 2434, 2474, 3101, 16161, 1257, 27887, 2673, 1009, 1142, 1085, 9442, 7980, 1009, 1228, 4875, 11119, 5, 9881, 2478, 1626, 3728, 5, 10974, 1009, 2013, 31140, 18344, 1205, 1075, 1042, 1577, 3436, 9657, 2383, 1444, 1480, 1257, 1776, 11769, 15678, 1516, 1026, 17759, 0, 1531, 2061, 1996, 1271, 2383, 8081, 1009, 3403, 1059, 1776, 11769, 3278, 11634, 1221, 1225, 1006, 10421, 6097, 2867, 1084, 1068, 1026, 1531, 1060, 3757, 1059, 1776, 11769, 11394, 1017, 2673, 1006, 3405, 1139, 1076, 1049, 1531, 1096, 2311, 79, 3158, 1, 13382, 16033, 14211, 1537, 15166, 1711, 19233, 15678, 3270, 3817, 9642, 3201, 1118, 1224, 21535, 1005, 1169, 7770, 1876, 1015, 25602, 2274, 1096, 23259, 1118, 1456, 22167, 1020, 4430, 28987, 1244, 1922, 31180, 1063, 9515, 2276, 17081, 71, 1026, 19705, 1009, 3270, 3817, 9642, 13962, 1302, 2037, 1159, 19233, 1059, 1844, 3502, 1711, 23698, 1060, 1944, 13321, 9901, 1938, 1236, 1049, 14539, 1059, 2322, 5963, 1711, 29116, 1009, 6425, 3951, 1034, 5909, 1222, 1026, 8985, 15001, 7400, 7802, 1059, 2322, 9595, 1711, 4285, 1773, 1242, 3258, 15663, 1093, 1096, 4107, 4026, 1060, 18038, 1059, 1984, 4994, 1711, 1138, 4026, 7980, 20644, 1060, 5507, 5658, 1044, 7279, 1890, 1094, 3579, 1126, 7439, 1006, 1094, 13799, 22723, 1059, 2182, 14392, 1711, 3578, 1009, 5683, 27239, 32, 14312, 1436, 7036, 1016, 1005, 6901, 10025, 1018, 5036, 1094, 6127, 10374, 2672, 6311, 1157, 1006, 29977, 5545, 17750, 1054, 2182, 8037, 1005, 2182, 5871, 1059, 2128, 8121, 1711, 1138, 1264, 2834, 1060, 23322, 1005, 1318, 4026, 1060, 2695, 1725, 1034, 4243, 11123, 1096, 4107, 10601, 1035, 19233, 3394, 4906, 18579, 1026, 1720, 18035, 1009, 4243, 14217, 1059, 2128, 9595, 1711, 5845, 1006, 3578, 1187, 19801, 2376, 1229, 1132, 3145, 15480, 3849, 1018, 1009, 1344, 9857, 1122, 89, 5656, 1058, 11916, 1040, 1006, 10653, 1060, 17273, 14140, 1992, 1026, 1138, 1245, 1593, 1009, 16921, 28732, 1905, 1059, 1578, 4673, 1711, 6377, 1049, 23185, 2493, 1648, 1006, 14619, 1076, 1187, 4735, 9041, 5077, 1026, 1712, 1756, 1526, 1009, 8061, 6816, 1060, 2042, 1049, 1561, 1059, 8139, 29, 1711, 1063, 2828, 1009, 3270, 73, 1088, 150, 1096, 23187, 8916, 1159, 1006, 1944, 12048, 1009, 17778, 3282, 1072, 3821, 1060, 11944, 1059, 1578, 6955, 1711, 1766, 23945, 1166, 2365, 1060, 1082, 3333, 20443, 1005, 2882, 22005, 19778, 3232, 15854, 28148, 15, 1327, 25251, 1159, 1094, 11221, 4987, 1288, 1026, 2671, 1009, 4660, 84, 2834, 10039, 3381, 5393, 2112, 1059, 1578, 6507, 1711, 16414, 1236, 1049, 5638, 1114, 11541, 32, 6669, 10100, 27398, 3250, 5638, 1054, 1067, 21291, 3490, 9571, 4236, 1009, 10601, 5457, 1059, 1578, 6955, 1711, 23945, 1166, 2365, 1060, 2882, 22005, 1005, 1082, 3333, 20443, 19778, 3232, 15854, 23945, 1069, 1060, 28148, 15, 1598, 13047, 1159, 1094, 11221, 4987, 1288, 1026, 2671, 1009, 10039, 3381, 5393, 2112, 1059, 9856, 24, 1711, 19109, 1301, 2701, 1096, 17081, 1140, 1006, 3861, 1060, 28148, 1059, 25665, 1711, 1138, 1831, 2417, 1009, 2617, 90, 1689, 1096, 12194, 1114, 5507, 1118, 5542, 30470, 4273, 2456, 2057, 1059, 25443, 1711, 8020, 3578, 3747, 32, 1132, 5242, 1544, 1009, 4095, 1060, 3279, 1134, 9322, 28107, 1288, 1026, 4133, 1049, 8231, 16507, 18279, 14254, 5569, 3788, 3624, 95, 21206, 1132, 5242, 1544, 1009, 4095, 1049, 1717, 12052, 83, 18279, 12210, 9614, 14306, 1364, 1114, 10556, 1009, 19170, 3265, 17812, 1059, 22710, 1711, 3270, 7718, 11394, 1017, 2673, 1096, 21423, 1114, 7500, 1118, 12419, 1049, 5019, 1049, 1424, 1398, 22510, 1049, 18145, 1059, 16718 ]

[ 2922, 1043, 10511, 1054, 22109, 9543, 2545, 18209, 1299, 1298, 4054, 6546, 29330, 4638, 1094, 2612, 1009, 6443, 1068, 1026, 14566, 1049, 7510, 1009, 6939, 32, 13341, 1068, 1026, 10430, 20081, 1005, 13077, 3047, 28292, 14878, 24115, 1006, 6443, 1159, 1026, 2446, 1009, 2612, 1005, 14069, 31890, 2637, 1159, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 6143, 22383, 1013, 1026, 10512, 1078, 1135, 1049, 14566, 32, 13341, 1068, 1026, 10430, 29881, 1005, 13077, 22217, 3453, 3690, 8143, 1224, 2612, 1009, 7510, 1009, 6939, 1159, 1006, 2612, 1150, 1196, 2612, 8, 1005, 1006, 2612, 1009, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 1159, 25143, 7685, 2100, 42, 19851, 1026, 2161, 1049, 14566, 1072, 3428, 1150, 29209, 1060, 9430, 8, 6291, 22383, 1013, 1026, 5496, 1049, 14566, 32, 13341, 1068, 1026, 10430, 29881, 1005, 13077, 22217, 3453, 4202, 3690, 8143, 1224, 2612, 1009, 10511, 1159, 1006, 2612, 1150, 1196, 2612, 8, 1005, 1006, 2612, 1009, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 1159, 25143, 7685, 2100, 42, 19851, 1026, 2161, 1049, 5496, 1049, 14566, 1072, 3428, 1150, 29209, 1060, 9430, 8, 6918, 14422, 1013, 1094, 19820, 24756, 32, 13341, 1068, 1026, 10430, 1063, 1161, 1005, 13077, 1094, 2360, 19820, 2964, 1140, 1611, 89, 24115, 3598, 6572, 2938, 8, 1159, 2446, 1009, 19820, 1005, 13077, 1224, 2612, 1009, 10511, 1159, 1006, 2612, 1150, 1196, 2612, 8, 1005, 1006, 2612, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 1159, 1006, 25143, 7685, 2100, 24656, 1342, 1006, 8692, 1068, 16958, 1213, 1235, 19823, 1009, 5496, 1009, 10511, 1005, 31657, 1026, 2161, 1049, 5496, 1049, 14566, 1072, 3428, 1150, 29209, 1060, 9430, 8, 14592, 86, 1497, 1124, 6982, 1307, 1005, 1422, 1068, 1752, 5496, 1009, 14566, 1495, 1048, 1026, 14566, 2374, 2533, 1667, 1, 2760, 10077, 1009, 4327, 16005, 1150, 1297, 4205, 1069, 1406, 1998, 4647, 1261, 5391, 1009, 1048, 1124, 1783, 1718, 3982, 1048, 1503, 1566, 12071, 1089, 6546, 8155, 32, 2240, 13822, 1228, 1352, 29152, 1005, 11466, 6806, 1160, 2449, 5391, 1049, 1048, 1325, 10977, 2307, 12334, 5192, 4654, 86, 3692, 6331, 4881, 1246, 9615, 21777, 3876, 10344, 1404, 5940, 21, 31993, 19, 24652, 2132, 3951, 19, 1330, 7234, 8524, 45, 2393, 4134, 11743, 43, 6898, 4414, 43, 6441, 18862, 9696, 6898, 56, 3640, 19, 2805, 45, 5356, 5356, 43, 1082, 4436, 46, 9753, 15229, 21029, 1049, 2658, 2752, 1192, 1005, 30814, 8, 2915, 3386, 2658, 1150, 33, 12032, 5691, 1049, 3202, 22821, 6010, 2240, 18539, 2656, 6581, 3524, 2237, 3484, 1068, 1663, 2073, 3616, 32, 6331, 26207, 2721, 3452, 30, 2830, 27, 21, 3094, 17490, 13841, 8075, 5291, 19, 24652, 2132, 3951, 19, 1093, 1253, 19, 18253, 4495, 2800, 8361, 12058, 1044, 2658, 2752, 1192, 2301, 22821, 6010, 2240, 27549, 5841, 3271, 1566, 1298, 2504, 1930, 1026, 1048, 1325, 2247, 1049, 3311, 1048, 3074, 4619, 5872, 1898, 22734, 26207, 2708, 4368, 4332, 4368, 21, 31993, 19, 4315, 23158, 19, 24652, 2132, 3951, 2132, 2431, 19, 18253, 5786, 1122, 77, 17011, 19, 1081, 1426, 13844, 19, 10115, 4495, 12058, 2658, 2752, 1192, 15206, 1009, 22821, 9376, 1069, 1054, 1044, 5646, 1112, 6010, 2240, 1422, 15, 1144, 21175, 3484, 1068, 1668, 1898, 22734, 26207, 2721, 3663, 3989, 5861, 21, 31993, 19, 24652, 2132, 3951, 2132, 2431, 1371, 1446, 1446, 4328, 2836, 9717, 4495, 8982, 2124, 24652, 1049, 4880, 1054, 25329, 9717, 6010, 2240, 1487, 15, 2656, 5192, 1026, 1048, 1096, 1989, 3813, 1898, 22734, 26207, 4673, 6955, 6991, 4655, 21, 24652, 2132, 3951, 18481, 2095, 1019, 19, 1093, 1253, 19, 18253, 9717, 5166, 21743, 2448, 4495, 7801, 21777, 4673, 6955, 6991, 4655, 21, 24652, 2132, 3951, 18481, 10526, 4821, 19, 1093, 1253, 3840, 1590, 1637, 24845, 6441, 15304, 2679, 6010, 2240, 5888, 1119, 1312, 3592, 8155, 5778, 18, 1058, 1616, 1620, 1096, 1094, 18275, 11824, 1903, 1370, 9825, 86, 19724, 2527, 26073, 1072, 2268, 2924, 3069, 2429, 14346, 2240, 9627, 4174, 29152, 3130, 2639, 94, 1323, 5420, 1094, 2919, 1009, 2833, 9680, 1187, 2688, 1752, 1044, 1225, 1044, 2658, 4100, 23697, 26279, 12274, 6013, 94, 21, 1774, 2181, 6013, 94, 4880, 16266, 2122, 26954, 22669, 1132, 4290, 1187, 1886, 6875, 1757, 1044, 2658, 2752, 1192, 18, 2301, 1026, 19215, 22166, 1192, 1049, 1144, 14000, 2170, 1054, 4702, 30401, 1989, 2658, 1009, 2922, 1114, 3484, 20, 22076, 1048, 2092, 4174, 2493, 1434, 1006, 4169, 4954, 6319, 4821, 1063, 17025, 8, 1049, 5016, 8341, 7405, 7216, 1325, 1026, 2092, 2326, 1009, 4174, 3106, 1590, 1637, 3130, 2639, 94, 3692, 2674, 1697, 2562, 16009, 81, 21066, 4821, 4519, 8870, 15, 1824, 675, 675, 675, 7268, 1246, 7268, 1232, 65, 7574, 675, 675, 675, 4266, 4519, 1041, 1723, 20, 13254, 1283, 1840, 18366, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 3760, 5245, 2996, 21, 8563, 16317, 28654, 21066, 4821, 2820, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 15119, 4676, 1562, 90, 8870, 32, 7268, 15348, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 22760, 9799, 32, 1538, 14443, 40, 10211, 8325, 675, 675, 675, 675, 675, 675, 675, 27193, 675, 675, 675, 675, 675, 675, 675, 2124, 58, 2606, 46, 2606, 2794, 9543, 41, 9355, 41, 9484, 20622, 56, 2713, 41, 40, 1308, 675, 675, 675, 675, 675, 675, 675, 2124, 73, 2953, 11138, 11502, 41, 40, 1621, 675, 675, 675, 5252, 675, 675, 675, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2936, 4378, 1096, 1006, 1751, 1048, 13122, 1048, 1160, 3002, 2116, 1930, 2092, 2559, 84, 168, 1009, 2326, 1325, 4331, 5, 675, 675, 675, 2004, 2506, 675, 675, 675, 2562, 29820, 73, 72, 1071, 11398, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 15535, 2996, 11398, 32, 13, 2536, 13714, 20, 7255, 12365, 1071, 11398, 12090, 675, 675, 675, 2004, 2506, 675, 675, 675, 21704, 1955, 7827, 41, 40, 20722, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 9225, 2996, 1774, 20191, 32, 13, 2536, 13714, 20, 7255, 12365, 11138, 12090, 675, 675, 675, 28799, 99, 15572, 2771, 1144, 168, 1071, 2567, 94, 15, 7453, 1043, 14263, 28786, 19, 24652, 13735, 18, 6331, 8213, 5008, 84, 15410, 80, 1916, 8031, 18361, 2694, 21, 1774, 2181, 19, 24652, 8, 22536, 44, 1014, 10455, 3760, 4676, 2936, 5008, 84, 15410, 80, 1916, 8031, 18361, 2694, 21, 1774, 2181, 19, 24652, 6010, 32, 2674, 1697, 1484, 1088, 2652, 2640, 2996, 16317, 28654, 21066, 4821, 2820, 2562, 11372, 28245, 18627, 15, 1824, 675, 675, 675, 2254, 7268, 1246, 1057, 29251, 1643, 3965, 90, 1041, 1723, 1232, 65, 25030, 675, 675, 675, 4266, 4519, 1041, 1723, 20, 13254, 1283, 1840, 18366, 1824, 675, 675, 675, 675, 675, 675, 675, 23722, 28025, 12701, 1045, 1097, 13224, 4519, 8870, 3377, 675, 675, 675, 675, 675, 675, 675, 2276, 13950, 1071, 8196, 1727, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 7009, 1427, 16272, 1246, 1538, 24652, 18938, 24652, 25202, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2936, 2124, 24652, 10013, 1026, 2446, 1009, 3284, 1005, 1006, 10001, 1009, 3284, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1268, 4589, 24652, 1071, 8196, 6875, 1720, 1049, 22284, 13575, 1621, 675, 675, 675, 675, 675, 675, 675, 10925, 675, 675, 675, 675, 675, 675, 675, 5869, 11931, 73, 72, 1308, 675, 675, 675, 18784, 8992, 2771, 7216, 1325, 1026, 2092, 3189, 41, 40, 1072, 2092, 2326, 1009, 4174, 3106, 1590, 1637, 3130, 2639, 94, 3692, 2674, 1697, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 2254, 13398, 1246, 2052, 2020, 20651, 6348, 1232, 10, 2020, 20651, 7292, 21746, 6348, 1232, 10, 2020, 20651, 1263, 96, 6348, 1232, 10, 2020, 20651, 9907, 6348, 1276, 675, 675, 675, 4266, 1071, 6348, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2254, 1080, 2843, 1246, 4227, 1106, 2843, 13623, 15832, 4752, 1889, 7113, 1562, 11311, 32, 1538, 19618, 21, 64, 1192, 13, 15918, 675, 675, 675, 675, 675, 675, 675, 2254, 13398, 1246, 3764, 11488, 13572, 9796, 6348, 1071, 1245, 1193, 1621, 675, 675, 675, 675, 675, 675, 675, 2052, 2020, 20651, 15064, 1071, 6348, 1621, 675, 675, 675, 18784, 15572, 2771, 1063, 1751, 5091, 2843, 8, 3449, 8347, 14515, 2608, 8882, 7784, 1072, 10388, 12748, 1049, 1156, 6854, 1264, 3449, 1044, 6975, 1009, 4688, 1009, 2266, 1009, 1738, 90, 1095, 20776, 13752, 13122, 1048, 4230, 5501, 1989, 1080, 2843, 1114, 3443, 1525, 10005, 2400, 1068, 7909, 1026, 1150, 22611, 1009, 9153, 1159, 8, 1049, 9740, 5369, 14323, 37, 58, 14323, 1160, 37, 2240, 2800, 21542, 1131, 17, 1009, 3794, 5015, 1826, 2301, 1026, 1156, 43, 23, 2081, 6465, 1164, 2220, 1026, 2092, 22821, 1054, 8048, 3036, 30302, 1024, 1183, 15, 1005, 675, 1434, 12532, 1503, 2272, 2483, 1026, 13577, 12560, 1026, 5485, 3481, 1009, 1150, 1139, 1275, 1096, 1915, 19501, 1054, 1094, 8227, 1009, 9225, 32, 2674, 1697, 1955, 20191, 32, 17213, 7394, 4952, 3636, 3943, 3177, 1096, 1915, 1069, 3555, 1283, 1522, 25872, 2561, 1197, 1283, 1840, 5403, 2771, 4767, 1223, 5247, 13706, 11176, 9605, 7088, 1327, 1680, 13132, 1917, 1010, 7, 19096, 4081, 1068, 1989, 2863, 1298, 1178, 2071, 1006, 6855, 17025, 57, 1179, 2652, 9717, 21129, 6855, 5420, 1094, 2596, 2987, 1009, 9153, 4688, 5232, 1049, 9740, 6354, 1325, 1094, 2562, 15847, 1049, 2416, 73, 4991, 41, 40, 1048, 5471, 1026, 17025, 57, 1179, 2652, 80, 4676, 2294, 1697, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 2254, 1080, 2843, 1246, 4227, 1106, 2843, 13623, 15832, 4752, 1889, 7113, 1562, 11311, 32, 1538, 19618, 21, 64, 1192, 13, 15918, 675, 675, 675, 1710, 1167, 1016, 1071, 1245, 1193, 18, 1538, 24652, 18938, 24652, 8188, 99, 15572, 27827, 3202, 1067, 11743, 43, 2545, 5510, 1791, 12732, 32, 1026, 1831, 1096, 1026, 1106, 2843, 1009, 2658, 1005, 1026, 2277, 1096, 1026, 1720, 1049, 2658, 1068, 9153, 1026, 2658, 1159, 5981, 1976, 8347, 1054, 1664, 1132, 25963, 3944, 1229, 2966, 1026, 1156, 43, 19476, 675, 2, 1257, 12174, 1566, 8253, 2071, 1026, 11007, 1009, 8982, 1114, 8411, 1063, 13885, 1017, 1068, 7909, 1026, 8982, 1049, 2658, 10343, 1072, 1156, 43, 2830, 37, 28016, 1159, 1299, 1298, 8924, 1224, 2562, 1009, 3189, 41, 40, 1068, 2071, 1026, 11007, 1009, 8982, 5983, 1697, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 2254, 13398, 1246, 2052, 2020, 20651, 6348, 1232, 10, 2020, 20651, 7292, 21746, 6348, 1232, 10, 2020, 20651, 1263, 96, 6348, 1232, 10, 2020, 20651, 9907, 6348, 1276, 675, 675, 675, 4266, 1071, 6348, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2254, 1080, 2843, 1246, 4227, 1106, 2843, 13623, 15832, 4752, 1889, 7113, 1562, 11311, 32, 1538, 19618, 21, 64, 1192, 13, 15918, 675, 675, 675, 675, 675, 675, 675, 2254, 13398, 1246, 3764, 11488, 13572, 9796, 6348, 1071, 1245, 1193, 1621, 675, 675, 675, 675, 675, 675, 675, 2254, 1006, 1246, 4814, 25845, 10431, 2996, 71, 8188, 675, 675, 675, 675, 675, 675, 675, 1006, 14406, 3655, 1246, 13398, 1276, 675, 675, 675, 675, 675, 675, 675, 1063, 4752, 6319, 4821, 1246, 1538, 24652, 18938, 24652, 11507, 675, 675, 675, 675, 675, 675, 675, 1063, 3375, 7499, 3625, 675, 675, 675, 18784, 15572, 15351, 1757, 1094, 2360, 8411, 1009, 17492, 1066, 2339, 10013, 1235, 11007, 4881, 1068, 1026, 7025, 1049, 1080, 2843, 18, 10013, 1235, 11007, 1009, 8982, 1068, 1026, 1720, 1049, 2658, 18154, 1005, 13230, 9887, 1044, 7705, 1114, 8411, 1063, 13885, 1017, 5981, 1976, 7909, 1026, 8982, 1049, 2658, 1072, 1156, 43, 19476, 1, 4638, 1044, 10176, 1072, 1428, 13149, 8400, 1044, 7992, 10160, 2097, 10271, 16476, 10941, 3224, 1054, 20457, 21935, 29377, 1005, 1026, 7992, 10160, 31228, 13149, 12783, 2691, 4268, 1009, 16476, 25050, 9201, 1264, 3708, 1044, 1025, 1458, 7992, 19993, 1077, 1114, 16245, 1377, 2267, 16698, 20856, 1264, 1927, 1836, 9225, 1118, 24561, 1309, 2598, 14317, 22615, 3527, 1054, 1094, 6912, 1377, 1817, 2268, 1213, 1058, 17049, 1049, 20178, 1264, 4388, 2637, 8787, 1322, 1006, 2596, 1159, 1264, 9564, 3172, 1058, 9853, 1005, 1249, 2698, 1569, 4200, 12223, 1005, 3062, 1264, 3708, 32, 1094, 4671, 26844, 4385, 15061, 1005, 7232, 2166, 2284, 11213, 1136, 1094, 1395, 1034, 1365, 2156, 1271, 28457, 1005, 1026, 5862, 1049, 12913, 1058, 17696, 1079, 1026, 1172, 14431, 1049, 7992 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2922, 1043, 10511, 1054, 22109, 9543, 2545, 18209, 1299, 1298, 4054, 6546, 29330, 4638, 1094, 2612, 1009, 6443, 1068, 1026, 14566, 1049, 7510, 1009, 6939, 32, 13341, 1068, 1026, 10430, 20081, 1005, 13077, 3047, 28292, 14878, 24115, 1006, 6443, 1159, 1026, 2446, 1009, 2612, 1005, 14069, 31890, 2637, 1159, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 6143, 22383, 1013, 1026, 10512, 1078, 1135, 1049, 14566, 32, 13341, 1068, 1026, 10430, 29881, 1005, 13077, 22217, 3453, 3690, 8143, 1224, 2612, 1009, 7510, 1009, 6939, 1159, 1006, 2612, 1150, 1196, 2612, 8, 1005, 1006, 2612, 1009, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 1159, 25143, 7685, 2100, 42, 19851, 1026, 2161, 1049, 14566, 1072, 3428, 1150, 29209, 1060, 9430, 8, 6291, 22383, 1013, 1026, 5496, 1049, 14566, 32, 13341, 1068, 1026, 10430, 29881, 1005, 13077, 22217, 3453, 4202, 3690, 8143, 1224, 2612, 1009, 10511, 1159, 1006, 2612, 1150, 1196, 2612, 8, 1005, 1006, 2612, 1009, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 1159, 25143, 7685, 2100, 42, 19851, 1026, 2161, 1049, 5496, 1049, 14566, 1072, 3428, 1150, 29209, 1060, 9430, 8, 6918, 14422, 1013, 1094, 19820, 24756, 32, 13341, 1068, 1026, 10430, 1063, 1161, 1005, 13077, 1094, 2360, 19820, 2964, 1140, 1611, 89, 24115, 3598, 6572, 2938, 8, 1159, 2446, 1009, 19820, 1005, 13077, 1224, 2612, 1009, 10511, 1159, 1006, 2612, 1150, 1196, 2612, 8, 1005, 1006, 2612, 1150, 2911, 8784, 1714, 1068, 7510, 1009, 6939, 8, 1159, 1006, 25143, 7685, 2100, 24656, 1342, 1006, 8692, 1068, 16958, 1213, 1235, 19823, 1009, 5496, 1009, 10511, 1005, 31657, 1026, 2161, 1049, 5496, 1049, 14566, 1072, 3428, 1150, 29209, 1060, 9430, 8, 14592, 86, 1497, 1124, 6982, 1307, 1005, 1422, 1068, 1752, 5496, 1009, 14566, 1495, 1048, 1026, 14566, 2374, 2533, 1667, 1, 2760, 10077, 1009, 4327, 16005, 1150, 1297, 4205, 1069, 1406, 1998, 4647, 1261, 5391, 1009, 1048, 1124, 1783, 1718, 3982, 1048, 1503, 1566, 12071, 1089, 6546, 8155, 32, 2240, 13822, 1228, 1352, 29152, 1005, 11466, 6806, 1160, 2449, 5391, 1049, 1048, 1325, 10977, 2307, 12334, 5192, 4654, 86, 3692, 6331, 4881, 1246, 9615, 21777, 3876, 10344, 1404, 5940, 21, 31993, 19, 24652, 2132, 3951, 19, 1330, 7234, 8524, 45, 2393, 4134, 11743, 43, 6898, 4414, 43, 6441, 18862, 9696, 6898, 56, 3640, 19, 2805, 45, 5356, 5356, 43, 1082, 4436, 46, 9753, 15229, 21029, 1049, 2658, 2752, 1192, 1005, 30814, 8, 2915, 3386, 2658, 1150, 33, 12032, 5691, 1049, 3202, 22821, 6010, 2240, 18539, 2656, 6581, 3524, 2237, 3484, 1068, 1663, 2073, 3616, 32, 6331, 26207, 2721, 3452, 30, 2830, 27, 21, 3094, 17490, 13841, 8075, 5291, 19, 24652, 2132, 3951, 19, 1093, 1253, 19, 18253, 4495, 2800, 8361, 12058, 1044, 2658, 2752, 1192, 2301, 22821, 6010, 2240, 27549, 5841, 3271, 1566, 1298, 2504, 1930, 1026, 1048, 1325, 2247, 1049, 3311, 1048, 3074, 4619, 5872, 1898, 22734, 26207, 2708, 4368, 4332, 4368, 21, 31993, 19, 4315, 23158, 19, 24652, 2132, 3951, 2132, 2431, 19, 18253, 5786, 1122, 77, 17011, 19, 1081, 1426, 13844, 19, 10115, 4495, 12058, 2658, 2752, 1192, 15206, 1009, 22821, 9376, 1069, 1054, 1044, 5646, 1112, 6010, 2240, 1422, 15, 1144, 21175, 3484, 1068, 1668, 1898, 22734, 26207, 2721, 3663, 3989, 5861, 21, 31993, 19, 24652, 2132, 3951, 2132, 2431, 1371, 1446, 1446, 4328, 2836, 9717, 4495, 8982, 2124, 24652, 1049, 4880, 1054, 25329, 9717, 6010, 2240, 1487, 15, 2656, 5192, 1026, 1048, 1096, 1989, 3813, 1898, 22734, 26207, 4673, 6955, 6991, 4655, 21, 24652, 2132, 3951, 18481, 2095, 1019, 19, 1093, 1253, 19, 18253, 9717, 5166, 21743, 2448, 4495, 7801, 21777, 4673, 6955, 6991, 4655, 21, 24652, 2132, 3951, 18481, 10526, 4821, 19, 1093, 1253, 3840, 1590, 1637, 24845, 6441, 15304, 2679, 6010, 2240, 5888, 1119, 1312, 3592, 8155, 5778, 18, 1058, 1616, 1620, 1096, 1094, 18275, 11824, 1903, 1370, 9825, 86, 19724, 2527, 26073, 1072, 2268, 2924, 3069, 2429, 14346, 2240, 9627, 4174, 29152, 3130, 2639, 94, 1323, 5420, 1094, 2919, 1009, 2833, 9680, 1187, 2688, 1752, 1044, 1225, 1044, 2658, 4100, 23697, 26279, 12274, 6013, 94, 21, 1774, 2181, 6013, 94, 4880, 16266, 2122, 26954, 22669, 1132, 4290, 1187, 1886, 6875, 1757, 1044, 2658, 2752, 1192, 18, 2301, 1026, 19215, 22166, 1192, 1049, 1144, 14000, 2170, 1054, 4702, 30401, 1989, 2658, 1009, 2922, 1114, 3484, 20, 22076, 1048, 2092, 4174, 2493, 1434, 1006, 4169, 4954, 6319, 4821, 1063, 17025, 8, 1049, 5016, 8341, 7405, 7216, 1325, 1026, 2092, 2326, 1009, 4174, 3106, 1590, 1637, 3130, 2639, 94, 3692, 2674, 1697, 2562, 16009, 81, 21066, 4821, 4519, 8870, 15, 1824, 675, 675, 675, 7268, 1246, 7268, 1232, 65, 7574, 675, 675, 675, 4266, 4519, 1041, 1723, 20, 13254, 1283, 1840, 18366, 1824, 675, 675, 675, 675, 675, 675, 675, 2052, 3760, 5245, 2996, 21, 8563, 16317, 28654, 21066, 4821, 2820, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 15119, 4676, 1562, 90, 8870, 32, 7268, 15348, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 22760, 9799, 32, 1538, 14443, 40, 10211, 8325, 675, 675, 675, 675, 675, 675, 675, 27193, 675, 675, 675, 675, 675, 675, 675, 2124, 58, 2606, 46, 2606, 2794, 9543, 41, 9355, 41, 9484, 20622, 56, 2713, 41, 40, 1308, 675, 675, 675, 675, 675, 675, 675, 2124, 73, 2953, 11138, 11502, 41, 40, 1621, 675, 675, 675, 5252, 675, 675, 675, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2936, 4378, 1096, 1006, 1751, 1048, 13122, 1048, 1160, 3002, 2116, 1930, 2092, 2559, 84, 168, 1009, 2326, 1325, 4331, 5, 675, 675, 675, 2004, 2506, 675, 675, 675, 2562, 29820, 73, 72, 1071, 11398, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 15535, 2996, 11398, 32, 13, 2536, 13714, 20, 7255, 12365, 1071, 11398, 12090, 675, 675, 675, 2004, 2506, 675, 675, 675, 21704, 1955, 7827, 41, 40, 20722, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 9225, 2996, 1774, 20191, 32, 13, 2536, 13714, 20, 7255, 12365, 11138, 12090, 675, 675, 675, 28799, 99, 15572, 2771, 1144, 168, 1071, 2567, 94, 15, 7453, 1043, 14263, 28786, 19, 24652, 13735, 18, 6331, 8213, 5008, 84, 15410, 80, 1916, 8031, 18361, 2694, 21, 1774, 2181, 19, 24652, 8, 22536, 44, 1014, 10455, 3760, 4676, 2936, 5008, 84, 15410, 80, 1916, 8031, 18361, 2694, 21, 1774, 2181, 19, 24652, 6010, 32, 2674, 1697, 1484, 1088, 2652, 2640, 2996, 16317, 28654, 21066, 4821, 2820, 2562, 11372, 28245, 18627, 15, 1824, 675, 675, 675, 2254, 7268, 1246, 1057, 29251, 1643, 3965, 90, 1041, 1723, 1232, 65, 25030, 675, 675, 675, 4266, 4519, 1041, 1723, 20, 13254, 1283, 1840, 18366, 1824, 675, 675, 675, 675, 675, 675, 675, 23722, 28025, 12701, 1045, 1097, 13224, 4519, 8870, 3377, 675, 675, 675, 675, 675, 675, 675, 2276, 13950, 1071, 8196, 1727, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 7009, 1427, 16272, 1246, 1538, 24652, 18938, 24652, 25202, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 2936, 2124, 24652, 10013, 1026, 2446, 1009, 3284, 1005, 1006, 10001, 1009, 3284, 5, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 675, 1268, 4589, 24652, 1071, 8196, 6875, 1720, 1049, 22284, 13575, 1621, 675, 675, 675, 675, 675, 675, 675, 10925, 675, 675, 675, 675, 675, 675, 675, 5869, 11931, 73, 72, 1308, 675, 675, 675, 18784, 8992, 2771, 7216, 1325, 1026, 2092, 3189, 41, 40, 1072, 2092, 2326, 1009, 4174, 3106, 1590, 1637, 3130, 2639, 94, 3692, 2674, 1697, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 2254, 13398, 1246, 2052, 2020, 20651, 6348, 1232, 10, 2020, 20651, 7292, 21746, 6348, 1232, 10, 2020, 20651, 1263, 96, 6348, 1232, 10, 2020, 20651, 9907, 6348, 1276, 675, 675, 675, 4266, 1071, 6348, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2254, 1080, 2843, 1246, 4227, 1106, 2843, 13623, 15832, 4752, 1889, 7113, 1562, 11311, 32, 1538, 19618, 21, 64, 1192, 13, 15918, 675, 675, 675, 675, 675, 675, 675, 2254, 13398, 1246, 3764, 11488, 13572, 9796, 6348, 1071, 1245, 1193, 1621, 675, 675, 675, 675, 675, 675, 675, 2052, 2020, 20651, 15064, 1071, 6348, 1621, 675, 675, 675, 18784, 15572, 2771, 1063, 1751, 5091, 2843, 8, 3449, 8347, 14515, 2608, 8882, 7784, 1072, 10388, 12748, 1049, 1156, 6854, 1264, 3449, 1044, 6975, 1009, 4688, 1009, 2266, 1009, 1738, 90, 1095, 20776, 13752, 13122, 1048, 4230, 5501, 1989, 1080, 2843, 1114, 3443, 1525, 10005, 2400, 1068, 7909, 1026, 1150, 22611, 1009, 9153, 1159, 8, 1049, 9740, 5369, 14323, 37, 58, 14323, 1160, 37, 2240, 2800, 21542, 1131, 17, 1009, 3794, 5015, 1826, 2301, 1026, 1156, 43, 23, 2081, 6465, 1164, 2220, 1026, 2092, 22821, 1054, 8048, 3036, 30302, 1024, 1183, 15, 1005, 675, 1434, 12532, 1503, 2272, 2483, 1026, 13577, 12560, 1026, 5485, 3481, 1009, 1150, 1139, 1275, 1096, 1915, 19501, 1054, 1094, 8227, 1009, 9225, 32, 2674, 1697, 1955, 20191, 32, 17213, 7394, 4952, 3636, 3943, 3177, 1096, 1915, 1069, 3555, 1283, 1522, 25872, 2561, 1197, 1283, 1840, 5403, 2771, 4767, 1223, 5247, 13706, 11176, 9605, 7088, 1327, 1680, 13132, 1917, 1010, 7, 19096, 4081, 1068, 1989, 2863, 1298, 1178, 2071, 1006, 6855, 17025, 57, 1179, 2652, 9717, 21129, 6855, 5420, 1094, 2596, 2987, 1009, 9153, 4688, 5232, 1049, 9740, 6354, 1325, 1094, 2562, 15847, 1049, 2416, 73, 4991, 41, 40, 1048, 5471, 1026, 17025, 57, 1179, 2652, 80, 4676, 2294, 1697, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 2254, 1080, 2843, 1246, 4227, 1106, 2843, 13623, 15832, 4752, 1889, 7113, 1562, 11311, 32, 1538, 19618, 21, 64, 1192, 13, 15918, 675, 675, 675, 1710, 1167, 1016, 1071, 1245, 1193, 18, 1538, 24652, 18938, 24652, 8188, 99, 15572, 27827, 3202, 1067, 11743, 43, 2545, 5510, 1791, 12732, 32, 1026, 1831, 1096, 1026, 1106, 2843, 1009, 2658, 1005, 1026, 2277, 1096, 1026, 1720, 1049, 2658, 1068, 9153, 1026, 2658, 1159, 5981, 1976, 8347, 1054, 1664, 1132, 25963, 3944, 1229, 2966, 1026, 1156, 43, 19476, 675, 2, 1257, 12174, 1566, 8253, 2071, 1026, 11007, 1009, 8982, 1114, 8411, 1063, 13885, 1017, 1068, 7909, 1026, 8982, 1049, 2658, 10343, 1072, 1156, 43, 2830, 37, 28016, 1159, 1299, 1298, 8924, 1224, 2562, 1009, 3189, 41, 40, 1068, 2071, 1026, 11007, 1009, 8982, 5983, 1697, 2562, 2416, 73, 4991, 41, 40, 14101, 2442, 15, 1824, 675, 675, 675, 2254, 13398, 1246, 2052, 2020, 20651, 6348, 1232, 10, 2020, 20651, 7292, 21746, 6348, 1232, 10, 2020, 20651, 1263, 96, 6348, 1232, 10, 2020, 20651, 9907, 6348, 1276, 675, 675, 675, 4266, 1071, 6348, 15, 1824, 675, 675, 675, 675, 675, 675, 675, 2254, 1080, 2843, 1246, 4227, 1106, 2843, 13623, 15832, 4752, 1889, 7113, 1562, 11311, 32, 1538, 19618, 21, 64, 1192, 13, 15918, 675, 675, 675, 675, 675, 675, 675, 2254, 13398, 1246, 3764, 11488, 13572, 9796, 6348, 1071, 1245, 1193, 1621, 675, 675, 675, 675, 675, 675, 675, 2254, 1006, 1246, 4814, 25845, 10431, 2996, 71, 8188, 675, 675, 675, 675, 675, 675, 675, 1006, 14406, 3655, 1246, 13398, 1276, 675, 675, 675, 675, 675, 675, 675, 1063, 4752, 6319, 4821, 1246, 1538, 24652, 18938, 24652, 11507, 675, 675, 675, 675, 675, 675, 675, 1063, 3375, 7499, 3625, 675, 675, 675, 18784, 15572, 15351, 1757, 1094, 2360, 8411, 1009, 17492, 1066, 2339, 10013, 1235, 11007, 4881, 1068, 1026, 7025, 1049, 1080, 2843, 18, 10013, 1235, 11007, 1009, 8982, 1068, 1026, 1720, 1049, 2658, 18154, 1005, 13230, 9887, 1044, 7705, 1114, 8411, 1063, 13885, 1017, 5981, 1976, 7909, 1026, 8982, 1049, 2658, 1072, 1156, 43, 19476, 1, 4638, 1044, 10176, 1072, 1428, 13149, 8400, 1044, 7992, 10160, 2097, 10271, 16476, 10941, 3224, 1054, 20457, 21935, 29377, 1005, 1026, 7992, 10160, 31228, 13149, 12783, 2691, 4268, 1009, 16476, 25050, 9201, 1264, 3708, 1044, 1025, 1458, 7992, 19993, 1077, 1114, 16245, 1377, 2267, 16698, 20856, 1264, 1927, 1836, 9225, 1118, 24561, 1309, 2598, 14317, 22615, 3527, 1054, 1094, 6912, 1377, 1817, 2268, 1213, 1058, 17049, 1049, 20178, 1264, 4388, 2637, 8787, 1322, 1006, 2596, 1159, 1264, 9564, 3172, 1058, 9853, 1005, 1249, 2698, 1569, 4200, 12223, 1005, 3062, 1264, 3708, 32, 1094, 4671, 26844, 4385, 15061, 1005, 7232, 2166, 2284, 11213, 1136, 1094, 1395, 1034, 1365, 2156, 1271, 28457, 1005, 1026, 5862, 1049, 12913, 1058, 17696, 1079, 1026, 1172, 14431, 1049, 7992 ]

[ 1021, 1344, 1040, 6587, 4334, 1367, 1081, 1163, 1036, 83, 1248, 2144, 15, 1096, 1044, 9515, 1009, 3227, 10496, 1005, 11680, 1009, 14456, 25347, 1262, 1343, 1048, 27355, 1054, 1058, 4531, 1044, 26521, 2048, 7323, 1159, 1235, 4575, 1009, 14456, 18795, 2045, 5683, 1358, 84, 1038, 4429, 4189, 1870, 1005, 5392, 1043, 1224, 26802, 12315, 28684, 17752, 3106, 17784, 1034, 13280, 1108, 1565, 3735, 1235, 13512, 1096, 9811, 1890, 1044, 22983, 1072, 13172, 1009, 3780, 1571, 1464, 4385, 1633, 1032, 1021, 1096, 27414, 1005, 1264, 1058, 1098, 2024, 1076, 1043, 1044, 1015, 2678, 23924, 23037, 1009, 26844, 30522, 1776, 1531, 7715, 1264, 1096, 20427, 1069, 1043, 1094, 21162, 23274, 1250, 3596, 1005, 5103, 1006, 1712, 1751, 1049, 1531, 23558, 1778, 20, 4567, 1048, 1264, 1058, 4192, 18, 1264, 7932, 1048, 1264, 11694, 1712, 3722, 20, 4634, 3232, 10602, 9342, 12315, 28684, 1096, 6231, 1140, 1005, 3179, 15703, 1713, 1118, 1044, 8027, 3298, 1495, 1633, 1032, 1021, 4771, 1130, 1005, 11410, 1026, 12960, 16298, 1996, 1048, 12315, 28684, 4172, 5662, 3433, 20, 1633, 1032, 1021, 1184, 3232, 8089, 1213, 1235, 12751, 1005, 3250, 12315, 28684, 1847, 14828, 1140, 1356, 13125, 1095, 2448, 4321, 1163, 1943, 1362, 4334, 1056, 17903, 81, 1035, 6138, 15, 1114, 6728, 1009, 7449, 1235, 8112, 8341, 1776, 2738, 1633, 1032, 1021, 1325, 19082, 13302, 1048, 1264, 1096, 6736, 4310, 1009, 6313, 1026, 1235, 8449, 1009, 1058, 4531, 1044, 26521, 2048, 168, 3158, 1776, 2268, 1233, 4375, 1048, 1132, 2250, 1475, 5984, 1264, 5090, 1006, 6537, 1184, 6815, 9839, 1006, 26844, 4385, 2966, 1178, 4310, 1009, 1173, 4450, 1030, 4407, 1009, 1235, 1345, 74, 2214, 3933, 1005, 1235, 2823, 1058, 5700, 1184, 16916, 19, 11424, 20, 4634, 6849, 1633, 1032, 1021, 1096, 31277, 1069, 1043, 1094, 17294, 1765, 1139, 79, 5336, 1309, 1096, 17010, 1009, 14308, 6648, 9779, 7425, 22575, 1157, 1006, 1094, 5643, 2386, 1054, 1044, 8679, 1068, 2808, 2637, 1068, 28380, 1224, 13971, 1324, 1264, 5934, 1043, 1044, 2792, 1048, 9047, 15703, 1439, 1094, 5102, 1005, 2945, 1609, 19, 1100, 2425, 1435, 23274, 1250, 1026, 2792, 20, 13803, 1077, 1048, 1006, 3897, 2374, 1340, 2528, 1264, 2947, 19666, 1511, 1687, 1086, 6226, 1043, 1264, 1043, 20340, 1159, 1026, 2792, 1516, 1235, 20294, 20, 3735, 1687, 9047, 7726, 1006, 6935, 1039, 1032, 1021, 1006, 8981, 1054, 4583, 72, 4566, 1026, 9674, 10240, 19386, 3101, 17851, 8052, 89, 2914, 15, 7032, 1213, 2386, 1005, 9047, 23386, 1006, 14650, 1309, 1096, 24043, 1118, 1633, 1032, 8376, 1776, 1531, 7715, 1006, 6935, 6717, 1909, 1114, 5643, 1005, 3250, 1026, 2823, 1049, 2792, 1048, 1195, 4767, 1069, 19091, 1009, 1664, 1132, 4007, 1402, 1005, 1006, 3897, 1054, 2497, 1009, 17134, 20, 1138, 22365, 2448, 1163, 1943, 1362, 1096, 27011, 1356, 2497, 1049, 2823, 1049, 2792, 1005, 1357, 4281, 1049, 1048, 3449, 1178, 1030, 4407, 1009, 16916, 1114, 28737, 1680, 1159, 1715, 1257, 21567, 25500, 1048, 5934, 1511, 1633, 1032, 1021, 4771, 1191, 1005, 15200, 1026, 2792, 1048, 6231, 1393, 12315, 28684, 37, 1, 2951, 4364, 1477, 32, 1138, 2792, 1927, 5692, 2835, 3144, 8144, 1187, 4029, 4031, 1060, 2042, 2381, 1412, 1322, 1026, 10999, 2858, 13216, 1118, 3018, 1195, 1026, 1807, 6035, 28090, 15621, 1060, 15736, 3158, 1776, 3009, 14384, 1264, 2521, 4965, 1068, 9762, 1048, 7937, 2835, 3144, 2605, 1857, 2598, 1596, 2197, 1794, 1554, 18, 1213, 2729, 1060, 8211, 1734, 4031, 2444, 14960, 20228, 2835, 3144, 2858, 2991, 1195, 1044, 2792, 1114, 5507, 1837, 14558, 4844, 2200, 2521, 1044, 1415, 1009, 17834, 1009, 22500, 1009, 4558, 17823, 1482, 4702, 1264, 1132, 6189, 1079, 1054, 1235, 2823, 1005, 7684, 1079, 1072, 1238, 1009, 1044, 7538, 3910, 20, 2200, 1160, 2835, 1079, 1493, 7033, 1802, 2200, 9564, 1072, 9616, 1005, 22306, 1752, 29176, 1054, 1235, 20056, 1138, 1831, 5628, 2733, 5687, 1114, 4590, 1054, 22300, 2308, 12539, 28622, 1132, 19636, 7848, 79, 7174, 6470, 1044, 1150, 1390, 1027, 1009, 1238, 8837, 8, 1493, 1807, 2100, 5126, 21323, 1048, 1026, 1238, 8837, 1288, 1802, 1505, 1048, 1160, 30386, 1044, 4447, 1027, 1043, 1264, 37, 1138, 4447, 1027, 1195, 3330, 1009, 19541, 1005, 3129, 20, 1482, 3042, 8152, 4183, 1026, 4026, 1005, 1006, 9056, 1060, 4590, 12990, 1419, 1026, 4447, 3320, 5126, 1026, 3249, 1412, 4480, 1132, 4181, 9368, 29318, 1068, 1026, 8190, 20, 1766, 9368, 2829, 1094, 1026, 1267, 1107, 1005, 1094, 4558, 17823, 10770, 1160, 12950, 1159, 1857, 1058, 1786, 2644, 1322, 1006, 5099, 20, 2605, 12950, 1048, 1006, 5099, 14704, 1799, 4686, 1005, 1048, 1132, 5513, 10512, 3465, 1412, 1043, 21053, 12539, 3952, 5738, 1791, 4031, 6470, 1006, 2921, 22325, 5126, 1681, 2644, 4109, 1009, 7083, 1054, 1044, 4447, 1027, 1049, 1592, 2446, 20, 4490, 5099, 14704, 10757, 1005, 3251, 4686, 1005, 1857, 4937, 1412, 2916, 1009, 1799, 8598, 20, 22502, 12155, 1766, 4181, 9368, 29318, 1072, 4447, 1027, 1596, 5869, 20, 4499, 1206, 11281, 1006, 3484, 1150, 1136, 1020, 5513, 20138, 1257, 1063, 12943, 15753, 57, 2334, 1006, 3484, 1096, 1150, 1136, 1020, 5513, 8, 1175, 1094, 1026, 1267, 1107, 1005, 1094, 4558, 1328, 2100, 1, 7862, 1342, 1048, 31978, 1044, 30412, 5174, 1348, 1009, 11848, 20, 1063, 12713, 2562, 1096, 1057, 1162, 1222, 1074, 1006, 8155, 1009, 11848, 23014, 2309, 20985, 1005, 9202, 16288, 1009, 1871, 5864, 1005, 1680, 4508, 1140, 1124, 5729, 1048, 1395, 1327, 2791, 5010, 1073, 6799, 5628, 1006, 28259, 1511, 30542, 1074, 1006, 6679, 1726, 5729, 27488, 2587, 32, 29450, 1018, 1323, 9202, 1026, 7166, 1511, 2311, 18867, 1068, 30422, 1009, 1015, 2816, 1009, 2311, 1322, 2311, 37, 27232, 6995, 4540, 9202, 1026, 7166, 1511, 2311, 1395, 1694, 1068, 30422, 1049, 1015, 2816, 1009, 2311, 1322, 2311, 1879, 1015, 2816, 1009, 1094, 7774, 2176, 1096, 7916, 1159, 1006, 2869, 1365, 1006, 4375, 1060, 13687, 1009, 1094, 6627, 1054, 2869, 1213, 7456, 1060, 13687, 20, 1776, 2535, 1060, 2562, 5867, 1100, 1006, 4375, 1060, 13687, 1096, 20239, 1005, 1006, 2869, 1096, 1083, 21, 2023, 1063, 2562, 1015, 2816, 1096, 1094, 2562, 2733, 1005, 1841, 1575, 10393, 1206, 4473, 1687, 1096, 5580, 1006, 11411, 1072, 12822, 1271, 17433, 1005, 13350, 3408, 17804, 1005, 20373, 1879, 7166, 1511, 2311, 1395, 1694, 1068, 30422, 1060, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 1096, 1094, 1271, 5729, 1184, 4412, 1060, 5034, 11848, 20, 1138, 7166, 1096, 1094, 4375, 1060, 19701, 1060, 2562, 1015, 2816, 1118, 3408, 1048, 2311, 3027, 2161, 30422, 6384, 13273, 1026, 7166, 1511, 2311, 3027, 2161, 30422, 1060, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 18, 1096, 3654, 7682, 1026, 31791, 1009, 20908, 46, 1568, 1897, 20, 3204, 31791, 4279, 2808, 1026, 7166, 1009, 1094, 2562, 1511, 1026, 2161, 1009, 2311, 1006, 1048, 1006, 2562, 1096, 22509, 1096, 30422, 6384, 10048, 1026, 31791, 1009, 20908, 46, 1568, 31477, 1096, 4230, 4480, 1233, 23021, 1006, 29267, 1009, 1944, 1005, 2750, 4272, 1060, 2562, 1015, 2816, 1009, 2311, 1658, 29267, 1009, 1944, 4272, 1096, 3519, 2246, 1006, 29267, 1060, 13687, 1009, 1094, 6627, 1096, 5580, 1006, 11411, 20, 3423, 2668, 1006, 29267, 1009, 2750, 4272, 1096, 1175, 2081, 2246, 1006, 29267, 1060, 13687, 1009, 1094, 6627, 1096, 20239, 1005, 1006, 2869, 1096, 1083, 14243, 4349, 17635, 1026, 7166, 1511, 2311, 1395, 1694, 1068, 30422, 1060, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 1096, 5580, 1006, 8279, 3782, 3901, 1048, 1006, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 18867, 1068, 1559, 1511, 2311, 3027, 2161, 11011, 9744, 1, 17287, 2699, 6480, 1776, 2268, 1837, 7741, 14307, 1068, 1006, 3364, 1187, 15315, 2248, 1229, 1005, 19729, 1068, 5224, 1048, 18631, 1009, 22414, 1005, 4494, 3144, 1257, 1257, 17287, 2699, 6221, 1766, 15315, 2739, 2624, 3739, 1040, 1160, 6098, 1009, 3638, 27065, 1548, 13196, 5157, 1006, 2444, 1048, 2374, 7640, 1005, 1581, 1107, 1006, 5018, 1377, 1257, 1257, 1603, 1006, 1944, 7565, 1234, 2831, 2469, 2276, 1006, 2750, 7565, 1096, 7472, 4777, 3885, 14961, 20, 8384, 2246, 1837, 7741, 14307, 1068, 1132, 15315, 10138, 1005, 19729, 1068, 5224, 1048, 18631, 1009, 22414, 1005, 4494, 1930, 1616, 1160, 3901, 1048, 1664, 1132, 15315, 2067, 1040, 1009, 3638, 27065, 1548, 13196, 13104, 8144, 15315, 1693, 30262, 3638, 1184, 10796, 1708, 1206, 1693, 1160, 1178, 27065, 9673, 1009, 6098, 1009, 3638, 1548, 13196, 13104, 6751, 1006, 2750, 7565, 1298, 1206, 1160, 1178, 7472, 1068, 1752, 1184, 1009, 1033, 1818, 1728, 1, 26677, 5399, 1323, 8413, 1068, 6679, 1006, 2237, 4960, 32, 5344, 1096, 1026, 1831, 1720, 1060, 3271, 1048, 1195, 5878, 1009, 2256, 3978, 1060, 2531, 11617, 23314, 2301, 1026, 2859, 32, 6873, 11155, 11617, 5810, 1054, 6667, 2196, 4105, 8107, 4236, 1009, 21663, 1054, 3939, 1009, 3383, 1009, 3067, 3218, 2200, 1516, 1026, 25094, 1009, 2256, 3978, 1060, 2531, 6161, 7429, 1094, 2531, 13677, 29972, 1060, 3161, 2116, 3013, 1048, 8983, 1054, 1094, 2573, 1009, 1791, 12272, 1114, 11617, 11963, 20, 4490, 12902, 9685, 26530, 1338, 2048, 11617, 29505, 5377, 88, 8433, 1349, 13890, 17045, 11071, 1005, 28771, 2257, 18470, 1136, 1006, 1178, 1094, 6035, 27341, 12267, 19, 1097, 6499, 3382, 1005, 7687, 1054, 2191, 3041, 1054, 1603, 1024, 1916, 3720, 1516, 1094, 11212, 1040, 7594, 1009, 5030, 1220, 14901, 5024, 10109, 11155, 12843, 1150, 6188, 19913, 6161, 7429, 1044, 4472, 2005, 6289, 3858, 1516, 1044, 13091, 1009, 2025, 1917, 14431, 1294, 23465, 9722, 1005, 13890, 12182, 1043, 1044, 8282, 2386, 1005, 3688, 1009, 19453, 1400, 1132, 7339, 4675, 18, 1068, 17070, 1006, 7562, 1060, 15899, 1138, 20160, 1179, 169, 1009, 1235, 10109, 10855, 1965, 8, 1163, 4096, 1009, 12743, 1516, 1044, 2792, 1009, 13664, 19218, 29972, 1005, 1026, 2617, 90, 1243, 1049, 7783, 1187, 23465, 6873, 10483, 1043, 2125, 21407, 4228, 1375, 72, 7699, 2955, 5621, 5785, 1005, 8214, 1095, 15, 1005, 3251, 9372, 7821, 1965, 7699, 1128, 2784, 7229, 1183, 9113, 1570, 13360, 1005, 21389, 95, 1565, 2858, 16925, 21804, 30476, 84, 20484, 85, 1009, 1570, 82, 3529, 6229, 2574, 1846, 1049, 9407, 20, 6188, 75, 17256, 1048, 1264, 13018, 1413, 1221, 1133, 1079, 6873, 33, 6873, 1973, 1048, 1235, 3372, 3684, 1973, 1048, 2257, 1044, 5938, 1270, 1303, 1086, 2118, 8, 1005, 5416, 2745, 27065, 1005, 11864, 1250, 13410, 1069, 3615, 1890, 1132, 2967, 1214, 1554, 2200, 14585, 1048, 13098, 2739, 2624, 1786, 2923, 1054, 1094, 7182, 1043, 1044, 1011, 3213, 1054, 1224, 4786, 2097, 1264, 1005, 1456, 9372, 8501, 1034, 31528, 22061, 1068, 8160, 1130, 27065, 7636, 5685, 20, 9685, 26530, 11617, 4979, 2464, 3702, 1026, 1413, 1221, 1133, 2374, 5077, 15928, 1054, 5635, 1184, 3944, 1229, 1516, 1094, 2596, 3707, 1009, 19474, 1024, 1124, 3978, 1511, 6873, 1836, 17770, 20, 6161, 7699, 1128, 2784, 7229, 1183, 1699, 1005, 1570, 13360, 10680, 1048, 1235, 3372, 1160, 1516, 13410, 1343, 1005, 1048, 1132, 1413, 1221, 27792, 1048, 2829, 1184, 13928, 1009, 6873, 2246, 1264, 1516, 1184, 19383, 1132, 22550, 19474, 1166, 1005, 2979, 1009, 20135, 1482, 1094, 6521, 1043, 5535, 1007, 78, 1313, 6269, 11120, 1054, 17640, 11617, 1973, 1048, 1224, 14565, 2257, 2281, 1638, 8194, 1005, 6659, 1526, 4964, 24029, 6873, 1005, 1570, 13360, 1058, 2969, 1412, 1233, 3688, 11617, 26832, 1248, 13, 71, 10105, 1118, 1235, 10109, 1048, 16471, 6161, 7699, 1128, 1177, 1005, 7229, 1183, 1699, 13, 1016, 13588, 1009, 3790, 16437, 1125, 4369, 1005, 5950, 9596, 1482, 27194, 6873, 2845, 1006, 8748, 13944, 1043, 7229, 1183, 9113, 1005, 1026, 1720, 1049, 2417, 1195, 21773, 1068, 11617, 7819, 1776, 1901, 7715, 1026, 2417, 4857, 1044, 4299, 1009, 12067, 33, 6873, 1058, 7217, 1715, 18, 1428, 2909, 1006, 3484, 37, 1257, 21567, 12943, 3436, 1831, 1720, 1060, 3271, 1048, 1195, 1026, 25094, 1009, 2256, 3978, 1114, 2531, 11617, 1096, 6873, 20, 1, 3730, 2675, 2335, 32, 1257, 1058, 1006, 2311, 83, 3082, 1839, 23, 1005, 1026, 2311, 83, 3082, 31906, 15999, 1026, 1023, 11478, 1029, 1020, 1014, 1009, 1150, 94, 83, 3082, 6418, 8, 1005, 2311, 83, 3082, 25, 4368, 1054, 2311, 83, 3082, 23, 2443, 2276, 1006, 6406, 1150, 94, 83, 3082, 2830, 4655, 2785, 1724, 71, 1054, 1175, 94, 83, 3082, 3612, 3006, 3797, 1252, 1253, 1118, 2311, 83, 3082, 2830, 5562, 1026, 8996, 3872, 2742, 1048, 94, 83, 3082, 2830, 28, 2443, 1150, 94, 83, 3082, 2830, 28, 2443, 1150, 94, 83, 3082, 2830, 6991, 8, 1096, 1026, 1023, 1802, 26445, 83, 3082, 3487, 4109, 1048, 7622, 1132, 4181, 10328, 1060, 3649, 1009, 1175, 94, 83, 3082, 2830, 28, 2567, 2271, 2464, 1072, 94, 83, 3082, 1839, 10301, 1005, 1026, 2311, 83, 3082, 2830, 7795, 1327, 3405, 1053, 16820, 8647, 1229, 1026, 1150, 94, 83, 3082, 1839, 7484, 1029, 77, 10975, 16174, 1047 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1021, 1344, 1040, 6587, 4334, 1367, 1081, 1163, 1036, 83, 1248, 2144, 15, 1096, 1044, 9515, 1009, 3227, 10496, 1005, 11680, 1009, 14456, 25347, 1262, 1343, 1048, 27355, 1054, 1058, 4531, 1044, 26521, 2048, 7323, 1159, 1235, 4575, 1009, 14456, 18795, 2045, 5683, 1358, 84, 1038, 4429, 4189, 1870, 1005, 5392, 1043, 1224, 26802, 12315, 28684, 17752, 3106, 17784, 1034, 13280, 1108, 1565, 3735, 1235, 13512, 1096, 9811, 1890, 1044, 22983, 1072, 13172, 1009, 3780, 1571, 1464, 4385, 1633, 1032, 1021, 1096, 27414, 1005, 1264, 1058, 1098, 2024, 1076, 1043, 1044, 1015, 2678, 23924, 23037, 1009, 26844, 30522, 1776, 1531, 7715, 1264, 1096, 20427, 1069, 1043, 1094, 21162, 23274, 1250, 3596, 1005, 5103, 1006, 1712, 1751, 1049, 1531, 23558, 1778, 20, 4567, 1048, 1264, 1058, 4192, 18, 1264, 7932, 1048, 1264, 11694, 1712, 3722, 20, 4634, 3232, 10602, 9342, 12315, 28684, 1096, 6231, 1140, 1005, 3179, 15703, 1713, 1118, 1044, 8027, 3298, 1495, 1633, 1032, 1021, 4771, 1130, 1005, 11410, 1026, 12960, 16298, 1996, 1048, 12315, 28684, 4172, 5662, 3433, 20, 1633, 1032, 1021, 1184, 3232, 8089, 1213, 1235, 12751, 1005, 3250, 12315, 28684, 1847, 14828, 1140, 1356, 13125, 1095, 2448, 4321, 1163, 1943, 1362, 4334, 1056, 17903, 81, 1035, 6138, 15, 1114, 6728, 1009, 7449, 1235, 8112, 8341, 1776, 2738, 1633, 1032, 1021, 1325, 19082, 13302, 1048, 1264, 1096, 6736, 4310, 1009, 6313, 1026, 1235, 8449, 1009, 1058, 4531, 1044, 26521, 2048, 168, 3158, 1776, 2268, 1233, 4375, 1048, 1132, 2250, 1475, 5984, 1264, 5090, 1006, 6537, 1184, 6815, 9839, 1006, 26844, 4385, 2966, 1178, 4310, 1009, 1173, 4450, 1030, 4407, 1009, 1235, 1345, 74, 2214, 3933, 1005, 1235, 2823, 1058, 5700, 1184, 16916, 19, 11424, 20, 4634, 6849, 1633, 1032, 1021, 1096, 31277, 1069, 1043, 1094, 17294, 1765, 1139, 79, 5336, 1309, 1096, 17010, 1009, 14308, 6648, 9779, 7425, 22575, 1157, 1006, 1094, 5643, 2386, 1054, 1044, 8679, 1068, 2808, 2637, 1068, 28380, 1224, 13971, 1324, 1264, 5934, 1043, 1044, 2792, 1048, 9047, 15703, 1439, 1094, 5102, 1005, 2945, 1609, 19, 1100, 2425, 1435, 23274, 1250, 1026, 2792, 20, 13803, 1077, 1048, 1006, 3897, 2374, 1340, 2528, 1264, 2947, 19666, 1511, 1687, 1086, 6226, 1043, 1264, 1043, 20340, 1159, 1026, 2792, 1516, 1235, 20294, 20, 3735, 1687, 9047, 7726, 1006, 6935, 1039, 1032, 1021, 1006, 8981, 1054, 4583, 72, 4566, 1026, 9674, 10240, 19386, 3101, 17851, 8052, 89, 2914, 15, 7032, 1213, 2386, 1005, 9047, 23386, 1006, 14650, 1309, 1096, 24043, 1118, 1633, 1032, 8376, 1776, 1531, 7715, 1006, 6935, 6717, 1909, 1114, 5643, 1005, 3250, 1026, 2823, 1049, 2792, 1048, 1195, 4767, 1069, 19091, 1009, 1664, 1132, 4007, 1402, 1005, 1006, 3897, 1054, 2497, 1009, 17134, 20, 1138, 22365, 2448, 1163, 1943, 1362, 1096, 27011, 1356, 2497, 1049, 2823, 1049, 2792, 1005, 1357, 4281, 1049, 1048, 3449, 1178, 1030, 4407, 1009, 16916, 1114, 28737, 1680, 1159, 1715, 1257, 21567, 25500, 1048, 5934, 1511, 1633, 1032, 1021, 4771, 1191, 1005, 15200, 1026, 2792, 1048, 6231, 1393, 12315, 28684, 37, 1, 2951, 4364, 1477, 32, 1138, 2792, 1927, 5692, 2835, 3144, 8144, 1187, 4029, 4031, 1060, 2042, 2381, 1412, 1322, 1026, 10999, 2858, 13216, 1118, 3018, 1195, 1026, 1807, 6035, 28090, 15621, 1060, 15736, 3158, 1776, 3009, 14384, 1264, 2521, 4965, 1068, 9762, 1048, 7937, 2835, 3144, 2605, 1857, 2598, 1596, 2197, 1794, 1554, 18, 1213, 2729, 1060, 8211, 1734, 4031, 2444, 14960, 20228, 2835, 3144, 2858, 2991, 1195, 1044, 2792, 1114, 5507, 1837, 14558, 4844, 2200, 2521, 1044, 1415, 1009, 17834, 1009, 22500, 1009, 4558, 17823, 1482, 4702, 1264, 1132, 6189, 1079, 1054, 1235, 2823, 1005, 7684, 1079, 1072, 1238, 1009, 1044, 7538, 3910, 20, 2200, 1160, 2835, 1079, 1493, 7033, 1802, 2200, 9564, 1072, 9616, 1005, 22306, 1752, 29176, 1054, 1235, 20056, 1138, 1831, 5628, 2733, 5687, 1114, 4590, 1054, 22300, 2308, 12539, 28622, 1132, 19636, 7848, 79, 7174, 6470, 1044, 1150, 1390, 1027, 1009, 1238, 8837, 8, 1493, 1807, 2100, 5126, 21323, 1048, 1026, 1238, 8837, 1288, 1802, 1505, 1048, 1160, 30386, 1044, 4447, 1027, 1043, 1264, 37, 1138, 4447, 1027, 1195, 3330, 1009, 19541, 1005, 3129, 20, 1482, 3042, 8152, 4183, 1026, 4026, 1005, 1006, 9056, 1060, 4590, 12990, 1419, 1026, 4447, 3320, 5126, 1026, 3249, 1412, 4480, 1132, 4181, 9368, 29318, 1068, 1026, 8190, 20, 1766, 9368, 2829, 1094, 1026, 1267, 1107, 1005, 1094, 4558, 17823, 10770, 1160, 12950, 1159, 1857, 1058, 1786, 2644, 1322, 1006, 5099, 20, 2605, 12950, 1048, 1006, 5099, 14704, 1799, 4686, 1005, 1048, 1132, 5513, 10512, 3465, 1412, 1043, 21053, 12539, 3952, 5738, 1791, 4031, 6470, 1006, 2921, 22325, 5126, 1681, 2644, 4109, 1009, 7083, 1054, 1044, 4447, 1027, 1049, 1592, 2446, 20, 4490, 5099, 14704, 10757, 1005, 3251, 4686, 1005, 1857, 4937, 1412, 2916, 1009, 1799, 8598, 20, 22502, 12155, 1766, 4181, 9368, 29318, 1072, 4447, 1027, 1596, 5869, 20, 4499, 1206, 11281, 1006, 3484, 1150, 1136, 1020, 5513, 20138, 1257, 1063, 12943, 15753, 57, 2334, 1006, 3484, 1096, 1150, 1136, 1020, 5513, 8, 1175, 1094, 1026, 1267, 1107, 1005, 1094, 4558, 1328, 2100, 1, 7862, 1342, 1048, 31978, 1044, 30412, 5174, 1348, 1009, 11848, 20, 1063, 12713, 2562, 1096, 1057, 1162, 1222, 1074, 1006, 8155, 1009, 11848, 23014, 2309, 20985, 1005, 9202, 16288, 1009, 1871, 5864, 1005, 1680, 4508, 1140, 1124, 5729, 1048, 1395, 1327, 2791, 5010, 1073, 6799, 5628, 1006, 28259, 1511, 30542, 1074, 1006, 6679, 1726, 5729, 27488, 2587, 32, 29450, 1018, 1323, 9202, 1026, 7166, 1511, 2311, 18867, 1068, 30422, 1009, 1015, 2816, 1009, 2311, 1322, 2311, 37, 27232, 6995, 4540, 9202, 1026, 7166, 1511, 2311, 1395, 1694, 1068, 30422, 1049, 1015, 2816, 1009, 2311, 1322, 2311, 1879, 1015, 2816, 1009, 1094, 7774, 2176, 1096, 7916, 1159, 1006, 2869, 1365, 1006, 4375, 1060, 13687, 1009, 1094, 6627, 1054, 2869, 1213, 7456, 1060, 13687, 20, 1776, 2535, 1060, 2562, 5867, 1100, 1006, 4375, 1060, 13687, 1096, 20239, 1005, 1006, 2869, 1096, 1083, 21, 2023, 1063, 2562, 1015, 2816, 1096, 1094, 2562, 2733, 1005, 1841, 1575, 10393, 1206, 4473, 1687, 1096, 5580, 1006, 11411, 1072, 12822, 1271, 17433, 1005, 13350, 3408, 17804, 1005, 20373, 1879, 7166, 1511, 2311, 1395, 1694, 1068, 30422, 1060, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 1096, 1094, 1271, 5729, 1184, 4412, 1060, 5034, 11848, 20, 1138, 7166, 1096, 1094, 4375, 1060, 19701, 1060, 2562, 1015, 2816, 1118, 3408, 1048, 2311, 3027, 2161, 30422, 6384, 13273, 1026, 7166, 1511, 2311, 3027, 2161, 30422, 1060, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 18, 1096, 3654, 7682, 1026, 31791, 1009, 20908, 46, 1568, 1897, 20, 3204, 31791, 4279, 2808, 1026, 7166, 1009, 1094, 2562, 1511, 1026, 2161, 1009, 2311, 1006, 1048, 1006, 2562, 1096, 22509, 1096, 30422, 6384, 10048, 1026, 31791, 1009, 20908, 46, 1568, 31477, 1096, 4230, 4480, 1233, 23021, 1006, 29267, 1009, 1944, 1005, 2750, 4272, 1060, 2562, 1015, 2816, 1009, 2311, 1658, 29267, 1009, 1944, 4272, 1096, 3519, 2246, 1006, 29267, 1060, 13687, 1009, 1094, 6627, 1096, 5580, 1006, 11411, 20, 3423, 2668, 1006, 29267, 1009, 2750, 4272, 1096, 1175, 2081, 2246, 1006, 29267, 1060, 13687, 1009, 1094, 6627, 1096, 20239, 1005, 1006, 2869, 1096, 1083, 14243, 4349, 17635, 1026, 7166, 1511, 2311, 1395, 1694, 1068, 30422, 1060, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 1096, 5580, 1006, 8279, 3782, 3901, 1048, 1006, 2562, 1015, 2816, 1009, 2311, 1322, 2311, 18867, 1068, 1559, 1511, 2311, 3027, 2161, 11011, 9744, 1, 17287, 2699, 6480, 1776, 2268, 1837, 7741, 14307, 1068, 1006, 3364, 1187, 15315, 2248, 1229, 1005, 19729, 1068, 5224, 1048, 18631, 1009, 22414, 1005, 4494, 3144, 1257, 1257, 17287, 2699, 6221, 1766, 15315, 2739, 2624, 3739, 1040, 1160, 6098, 1009, 3638, 27065, 1548, 13196, 5157, 1006, 2444, 1048, 2374, 7640, 1005, 1581, 1107, 1006, 5018, 1377, 1257, 1257, 1603, 1006, 1944, 7565, 1234, 2831, 2469, 2276, 1006, 2750, 7565, 1096, 7472, 4777, 3885, 14961, 20, 8384, 2246, 1837, 7741, 14307, 1068, 1132, 15315, 10138, 1005, 19729, 1068, 5224, 1048, 18631, 1009, 22414, 1005, 4494, 1930, 1616, 1160, 3901, 1048, 1664, 1132, 15315, 2067, 1040, 1009, 3638, 27065, 1548, 13196, 13104, 8144, 15315, 1693, 30262, 3638, 1184, 10796, 1708, 1206, 1693, 1160, 1178, 27065, 9673, 1009, 6098, 1009, 3638, 1548, 13196, 13104, 6751, 1006, 2750, 7565, 1298, 1206, 1160, 1178, 7472, 1068, 1752, 1184, 1009, 1033, 1818, 1728, 1, 26677, 5399, 1323, 8413, 1068, 6679, 1006, 2237, 4960, 32, 5344, 1096, 1026, 1831, 1720, 1060, 3271, 1048, 1195, 5878, 1009, 2256, 3978, 1060, 2531, 11617, 23314, 2301, 1026, 2859, 32, 6873, 11155, 11617, 5810, 1054, 6667, 2196, 4105, 8107, 4236, 1009, 21663, 1054, 3939, 1009, 3383, 1009, 3067, 3218, 2200, 1516, 1026, 25094, 1009, 2256, 3978, 1060, 2531, 6161, 7429, 1094, 2531, 13677, 29972, 1060, 3161, 2116, 3013, 1048, 8983, 1054, 1094, 2573, 1009, 1791, 12272, 1114, 11617, 11963, 20, 4490, 12902, 9685, 26530, 1338, 2048, 11617, 29505, 5377, 88, 8433, 1349, 13890, 17045, 11071, 1005, 28771, 2257, 18470, 1136, 1006, 1178, 1094, 6035, 27341, 12267, 19, 1097, 6499, 3382, 1005, 7687, 1054, 2191, 3041, 1054, 1603, 1024, 1916, 3720, 1516, 1094, 11212, 1040, 7594, 1009, 5030, 1220, 14901, 5024, 10109, 11155, 12843, 1150, 6188, 19913, 6161, 7429, 1044, 4472, 2005, 6289, 3858, 1516, 1044, 13091, 1009, 2025, 1917, 14431, 1294, 23465, 9722, 1005, 13890, 12182, 1043, 1044, 8282, 2386, 1005, 3688, 1009, 19453, 1400, 1132, 7339, 4675, 18, 1068, 17070, 1006, 7562, 1060, 15899, 1138, 20160, 1179, 169, 1009, 1235, 10109, 10855, 1965, 8, 1163, 4096, 1009, 12743, 1516, 1044, 2792, 1009, 13664, 19218, 29972, 1005, 1026, 2617, 90, 1243, 1049, 7783, 1187, 23465, 6873, 10483, 1043, 2125, 21407, 4228, 1375, 72, 7699, 2955, 5621, 5785, 1005, 8214, 1095, 15, 1005, 3251, 9372, 7821, 1965, 7699, 1128, 2784, 7229, 1183, 9113, 1570, 13360, 1005, 21389, 95, 1565, 2858, 16925, 21804, 30476, 84, 20484, 85, 1009, 1570, 82, 3529, 6229, 2574, 1846, 1049, 9407, 20, 6188, 75, 17256, 1048, 1264, 13018, 1413, 1221, 1133, 1079, 6873, 33, 6873, 1973, 1048, 1235, 3372, 3684, 1973, 1048, 2257, 1044, 5938, 1270, 1303, 1086, 2118, 8, 1005, 5416, 2745, 27065, 1005, 11864, 1250, 13410, 1069, 3615, 1890, 1132, 2967, 1214, 1554, 2200, 14585, 1048, 13098, 2739, 2624, 1786, 2923, 1054, 1094, 7182, 1043, 1044, 1011, 3213, 1054, 1224, 4786, 2097, 1264, 1005, 1456, 9372, 8501, 1034, 31528, 22061, 1068, 8160, 1130, 27065, 7636, 5685, 20, 9685, 26530, 11617, 4979, 2464, 3702, 1026, 1413, 1221, 1133, 2374, 5077, 15928, 1054, 5635, 1184, 3944, 1229, 1516, 1094, 2596, 3707, 1009, 19474, 1024, 1124, 3978, 1511, 6873, 1836, 17770, 20, 6161, 7699, 1128, 2784, 7229, 1183, 1699, 1005, 1570, 13360, 10680, 1048, 1235, 3372, 1160, 1516, 13410, 1343, 1005, 1048, 1132, 1413, 1221, 27792, 1048, 2829, 1184, 13928, 1009, 6873, 2246, 1264, 1516, 1184, 19383, 1132, 22550, 19474, 1166, 1005, 2979, 1009, 20135, 1482, 1094, 6521, 1043, 5535, 1007, 78, 1313, 6269, 11120, 1054, 17640, 11617, 1973, 1048, 1224, 14565, 2257, 2281, 1638, 8194, 1005, 6659, 1526, 4964, 24029, 6873, 1005, 1570, 13360, 1058, 2969, 1412, 1233, 3688, 11617, 26832, 1248, 13, 71, 10105, 1118, 1235, 10109, 1048, 16471, 6161, 7699, 1128, 1177, 1005, 7229, 1183, 1699, 13, 1016, 13588, 1009, 3790, 16437, 1125, 4369, 1005, 5950, 9596, 1482, 27194, 6873, 2845, 1006, 8748, 13944, 1043, 7229, 1183, 9113, 1005, 1026, 1720, 1049, 2417, 1195, 21773, 1068, 11617, 7819, 1776, 1901, 7715, 1026, 2417, 4857, 1044, 4299, 1009, 12067, 33, 6873, 1058, 7217, 1715, 18, 1428, 2909, 1006, 3484, 37, 1257, 21567, 12943, 3436, 1831, 1720, 1060, 3271, 1048, 1195, 1026, 25094, 1009, 2256, 3978, 1114, 2531, 11617, 1096, 6873, 20, 1, 3730, 2675, 2335, 32, 1257, 1058, 1006, 2311, 83, 3082, 1839, 23, 1005, 1026, 2311, 83, 3082, 31906, 15999, 1026, 1023, 11478, 1029, 1020, 1014, 1009, 1150, 94, 83, 3082, 6418, 8, 1005, 2311, 83, 3082, 25, 4368, 1054, 2311, 83, 3082, 23, 2443, 2276, 1006, 6406, 1150, 94, 83, 3082, 2830, 4655, 2785, 1724, 71, 1054, 1175, 94, 83, 3082, 3612, 3006, 3797, 1252, 1253, 1118, 2311, 83, 3082, 2830, 5562, 1026, 8996, 3872, 2742, 1048, 94, 83, 3082, 2830, 28, 2443, 1150, 94, 83, 3082, 2830, 28, 2443, 1150, 94, 83, 3082, 2830, 6991, 8, 1096, 1026, 1023, 1802, 26445, 83, 3082, 3487, 4109, 1048, 7622, 1132, 4181, 10328, 1060, 3649, 1009, 1175, 94, 83, 3082, 2830, 28, 2567, 2271, 2464, 1072, 94, 83, 3082, 1839, 10301, 1005, 1026, 2311, 83, 3082, 2830, 7795, 1327, 3405, 1053, 16820, 8647, 1229, 1026, 1150, 94, 83, 3082, 1839, 7484, 1029, 77, 10975, 16174, 1047 ]

[ 1163, 1902, 79, 1071, 5312, 1995, 1348, 1009, 6110, 5166, 1079, 31552, 1073, 14874, 13603, 29402, 22219, 22473, 12004, 4246, 1439, 1006, 9416, 28937, 1094, 1823, 10933, 1060, 4173, 1060, 3811, 1009, 2272, 4993, 5018, 1102, 32, 1365, 15474, 1009, 3963, 1990, 1005, 1009, 11502, 13074, 1406, 1048, 3168, 1026, 4288, 1009, 7614, 1063, 1955, 26995, 13908, 1072, 1561, 1288, 1094, 10091, 1823, 21518, 1059, 4439, 2194, 30022, 5829, 13908, 1005, 15971, 1170, 5027, 1020, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 27636, 1009, 3268, 1009, 8936, 1726, 16473, 2721, 1691, 2628, 1045, 1082, 7765, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 4246, 1439, 1006, 9416, 2951, 3633, 1149, 1049, 6502, 1009, 20505, 6558, 16200, 1072, 1561, 8, 1072, 4288, 1150, 4439, 2194, 30022, 5829, 13908, 1005, 15971, 1170, 5027, 1020, 1479, 25773, 16953, 2651, 2897, 1406, 19035, 1357, 1063, 48, 6767, 2870, 5411, 1009, 4669, 1105, 1485, 1154, 1054, 28655, 1159, 1026, 7301, 1009, 30285, 1054, 7564, 9317, 6493, 1060, 29225, 16434, 2098, 1074, 2699, 23078, 1054, 1134, 11842, 6745, 3613, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 17672, 1009, 3042, 1009, 8936, 1726, 21243, 23151, 17887, 26784, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 18876, 2860, 7980, 6070, 2393, 22473, 1327, 1132, 11988, 1049, 4583, 3256, 3682, 6032, 5371, 1170, 1463, 1134, 11842, 6745, 11072, 1860, 2408, 1118, 23397, 1396, 1137, 7706, 3106, 48, 23376, 1048, 3168, 1006, 6297, 24843, 1140, 30173, 6164, 12448, 77, 6933, 28901, 1082, 1575, 3102, 1005, 13838, 14892, 89, 15478, 8391, 1115, 1095, 31283, 4887, 1269, 1806, 1066, 1262, 1097, 1654, 8914, 25, 1009, 3042, 1009, 8936, 1726, 20925, 4355, 1885, 2390, 1344, 1421, 14270, 10095, 2940, 1049, 1073, 14874, 13603, 29402, 22219, 15720, 5544, 4246, 1439, 1006, 9416, 8522, 24888, 6933, 1800, 1054, 3650, 1066, 32, 6335, 7085, 1102, 1068, 9066, 1026, 24614, 1324, 1048, 31009, 1124, 3638, 1060, 13560, 9550, 7544, 1005, 8699, 11284, 22864, 1140, 1072, 1073, 14874, 57, 29402, 6281, 1118, 11069, 11369, 2098, 16657, 1628, 1391, 1009, 7564, 18147, 5026, 1158, 1006, 3295, 7447, 18, 1726, 21171, 3452, 1467, 7680, 54, 8192, 57, 6825, 150, 1026, 21806, 1559, 1999, 15302, 1009, 2611, 5811, 1009, 7564, 18147, 1009, 1158, 1006, 3295, 7447, 20, 1063, 31273, 5142, 18130, 1394, 1005, 8113, 32, 1244, 6986, 1678, 6621, 18, 5556, 1005, 10363, 8206, 3332, 5694, 9203, 1561, 13439, 2645, 14874, 13603, 29402, 22219, 28758, 6891, 11377, 10348, 6136, 11805, 29402, 2393, 22473, 1005, 16102, 31649, 8201, 6070, 2393, 28758, 1847, 5589, 1140, 1118, 15621, 5045, 1021, 11721, 19593, 11285, 1005, 20723, 1236, 1118, 28211, 27652, 7706, 6070, 1926, 5167, 15, 3021, 1425, 1010, 1049, 8605, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 31023, 1009, 3042, 1009, 8936, 1726, 21881, 5735, 1302, 83, 2787, 2642, 20694, 30348, 3083, 3642, 15908, 3236, 8877, 7438, 7829, 2645, 14874, 13603, 29402, 22219, 28758, 4243, 18765, 13700, 8126, 2238, 25344, 2834, 1060, 26625, 22473, 1005, 2434, 30627, 18987, 17608, 1060, 28349, 29402, 22219, 22473, 28926, 1006, 7975, 3601, 1010, 1049, 2011, 1072, 3009, 17259, 1751, 1060, 6651, 1049, 8566, 1009, 19855, 26625, 48, 17, 8259, 2376, 14197, 8113, 1068, 1026, 3878, 3366, 4949, 1356, 15302, 1009, 11137, 1005, 5027, 20, 2536, 1869, 8866, 675, 4536, 88, 80, 83, 1102, 8259, 20, 1296, 26182, 4536, 88, 80, 5185, 3812, 12792, 4075, 16413, 1005, 7846, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 5, 3876, 1009, 3383, 1009, 8936, 1726, 14248, 2721, 3341, 17112, 8877, 7438, 7829, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 5924, 1006, 5556, 3943, 4898, 24046, 1343, 1072, 2293, 1009, 20328, 14774, 2011, 1005, 8718, 13631, 8, 1072, 15302, 3379, 2860, 1054, 14567, 14942, 6076, 32, 7846, 19300, 1629, 1054, 3379, 2860, 32, 1068, 1571, 4803, 3900, 2702, 1636, 8747, 1072, 4819, 1049, 8605, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 5, 3531, 1009, 3383, 1009, 8936, 1726, 21245, 3021, 26422, 21843, 11433, 14464, 2645, 14874, 13603, 29402, 22219, 22473, 1023, 1517, 1937, 1006, 1082, 56, 24487, 1205, 11321, 1005, 25773, 7527, 8747, 1072, 4819, 1049, 8605, 25830, 8866, 1049, 1457, 1045, 169, 1213, 6272, 1049, 19835, 1893, 13727, 4436, 18, 1048, 1225, 1159, 7287, 30177, 17059, 30348, 3083, 3642, 15908, 10660, 19539, 5305, 6070, 22219, 16822, 1005, 6318, 18638, 3281, 79, 2645, 14874, 13603, 29402, 22219, 48, 3377, 58, 1045, 4887, 1390, 1137, 1072, 19835, 1893, 13727, 4436, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 28972, 1009, 3383, 1009, 8936, 1726, 21245, 2904, 1024, 2871, 7626, 17175, 2663, 7270, 4134, 15908, 26668, 1009, 11236, 30348, 3083, 3642, 54, 33, 13727, 4436, 15, 1005, 12376, 16485, 2663, 7270, 5705, 1047, 15, 1327, 1132, 11988, 1068, 1026, 9032, 3292, 10042, 1161, 1187, 14, 18200, 6709, 14, 18200, 1322, 1026, 2809, 4887, 1390, 1137, 32, 1858, 1005, 27575, 1322, 1006, 3780, 25233, 1009, 1062, 7270, 21, 5881, 4436, 21, 3642, 2713, 20825, 1138, 3366, 4597, 1006, 17675, 1009, 3512, 16859, 24453, 2452, 3013, 1009, 6110, 5166, 1079, 31552, 30731, 1006, 7558, 2713, 48, 1005, 1213, 1073, 14874, 13603, 29402, 22219, 48, 3482, 1097, 79, 4968, 18793, 5074, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 23635, 1009, 3383, 1009, 8936, 1726, 20925, 1533, 1134, 5071, 11805, 26881, 1068, 1006, 1307, 1377, 14213, 1134, 5071, 11805, 5251, 15957, 3730, 1436, 18793, 5074, 1406, 13884, 6339, 1065, 8933, 5196, 1226, 21470, 4356, 1707, 1292, 1056, 8275, 13368, 1088, 1324, 6512, 1349, 21381, 2345, 8540, 19593, 11285, 1005, 10340, 1082, 7765, 2645, 14874, 13603, 29402, 22219, 22473, 1159, 14805, 1229, 1005, 6222, 1009, 10810, 9203, 2079, 3763, 2645, 17118, 1134, 5071, 2164, 11285, 1005, 1499, 4372, 1009, 30177, 1387, 9154, 19593, 54, 3377, 57, 1097, 10933, 28972, 1009, 3383, 1009, 8936, 1726, 20763, 4355, 17792, 1047, 1868, 2838, 1107, 1018, 2645, 14874, 13603, 29402, 22219, 22473, 1096, 1026, 12899, 1060, 2700, 1138, 1048, 1096, 23314, 25479, 1356, 2743, 1009, 7614, 28596, 75, 1072, 1156, 7635, 6822, 14846, 1138, 1048, 1096, 2387, 10933, 37, 7359, 1706, 1029, 17831, 1072, 9818, 8676, 14892, 74, 10681, 1099, 1016, 9906, 1706, 1029, 2233, 1262, 1097, 1654, 27725, 1009, 3353, 1009, 8936, 1726, 12150, 2721, 3021, 1045, 1342, 31336, 8165, 4138, 2645, 54, 11789, 29402, 22219, 28758, 3132, 1179, 1047, 1868, 2838, 1107, 1018, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 11023, 1056, 17929, 4271, 1079, 1164, 2940, 1073, 14874, 13603, 29402, 22219, 22473, 12004, 6098, 1049, 10527, 1225, 4631, 11137, 1009, 11187, 1005, 17428, 1048, 3168, 1026, 7712, 1105, 3216, 1049, 30887, 1060, 26625, 20825, 1063, 4751, 2177, 5191, 1114, 5309, 5843, 1005, 2177, 1860, 3234, 1118, 31131, 2397, 6238, 25382, 3706, 1392, 1049, 10407, 1303, 5170, 14892, 74, 10681, 1099, 1016, 9906, 1706, 1029, 2233, 1262, 1097, 1654, 8914, 29, 1009, 3353, 1009, 8936, 1726, 21245, 1533, 4872, 8686, 1163, 1458, 4501, 18638, 85, 15687, 77, 1458, 3677, 4830, 1007, 2005, 15, 6825, 150, 1026, 4711, 1049, 3066, 2373, 8891, 3706, 1392, 1049, 8299, 2952, 4324, 1009, 13460, 1009, 2462, 6720, 1128, 1010, 1133, 1119, 2162, 13360, 2645, 14874, 57, 29402, 6281, 15, 1005, 1106, 2787, 14235, 80, 2645, 14874, 13603, 29402, 22219, 28758, 1043, 1860, 2189, 1060, 12948, 4872, 1034, 1205, 1423, 1925, 2098, 1078, 14206, 1009, 10438, 1112, 1060, 20574, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 5, 3876, 1009, 3370, 1009, 8936, 1726, 22291, 3021, 1024, 1342, 28307, 12083, 1163, 1902, 79, 1071, 5312, 1995, 1348, 1009, 6110, 5166, 1079, 31552, 1049, 1073, 14874, 13603, 29402, 22219, 22473, 1005, 17175, 1082, 4719, 1045, 1327, 1132, 11988, 1060, 3536, 1049, 26615, 1069, 3064, 16618, 20064, 2951, 4380, 1049, 2232, 3465, 20813, 1005, 1124, 5629, 8317, 1322, 1006, 3122, 1112, 1009, 6685, 14398, 1012, 3380, 2404, 1005, 24979, 1876, 28972, 1009, 3370, 1009, 8936, 1726, 21245, 1704, 3366, 2487, 3380, 2404, 1005, 24979, 1876, 32, 16847, 1005, 11320, 1331, 6420, 13594, 1356, 5549, 1009, 11609, 24979, 11216, 1590, 9243, 1005, 1006, 2387, 20358, 1411, 5544, 13275, 22887, 4687, 10358, 12216, 30348, 3083, 3642, 15908, 11069, 2422, 2515, 13833, 1589, 1074, 4271, 1079, 1164, 2940, 1049, 1073, 14874, 13603, 29402, 22219, 22473, 1005, 29419, 1009, 17059, 12216, 19593, 54, 1565, 1063, 8090, 2177, 5191, 1356, 14818, 14796, 19160, 15366, 27737, 25826, 37, 92, 35, 8799, 80, 83, 77, 41, 87, 22, 4134, 22, 1833, 1269, 1468, 8676, 14892, 74, 10681, 1099, 1016, 9906, 1706, 1029, 2233, 1262, 1097, 1654, 20817, 10546, 3875, 27857, 1726, 20763, 4355, 17792, 1047, 1868, 2838, 1107, 1018, 2645, 14874, 13603, 29402, 22219, 22473, 1096, 1026, 12899, 1049, 19908, 2376, 23026, 16322, 32, 8566, 1009, 7422, 4525, 13522, 1006, 5556, 9818, 8676, 1072, 23185, 9330, 1005, 3177, 20, 1063, 4751, 2177, 1860, 3234, 1118, 1570, 12218, 24255, 2737, 11986, 1005, 20567, 1623, 24863, 79, 1049, 16477, 5972, 2247, 1049, 9032, 1009, 19064, 14090, 78, 7260, 5735, 71, 1228, 6235, 4624, 10305, 5221, 1009, 20940, 18860, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 8914, 23, 10546, 3875, 27857, 1726, 24886, 26164, 3541, 11159, 50, 15910, 7626, 1106, 2520, 27837, 2645, 9543, 14125, 1349, 4644, 1205, 1827, 1052, 4273, 1014, 1843, 2628, 2663, 8560, 20681, 22881, 2844, 2538, 1139, 1047, 1228, 42, 50, 11515, 1005, 27032, 1138, 624, 18402, 31696, 2645, 14874, 13603, 29402, 22219, 22473, 1327, 1132, 11988, 1049, 3366, 1009, 4711, 1049, 3066, 2955, 1228, 6235, 4624, 10305, 5221, 1009, 20940, 18860, 4356, 10654, 1106, 1174, 1189, 73, 2491, 1400, 3209, 1565, 1138, 3366, 2177, 17644, 1356, 29077, 3812, 20755, 1568, 1078, 14206, 1009, 8084, 14892, 89, 15478, 8391, 1115, 1095, 31283, 4887, 1269, 1806, 1066, 1262, 1097, 1654, 5961, 10137, 3875, 27857, 1726, 21243, 6383, 88, 6369, 18628, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 5924, 1006, 17410, 7311, 2662, 1029, 9393, 1009, 1094, 5826, 1568, 1034, 6158, 32, 3065, 1568, 1078, 14206, 1009, 3227, 1005, 1026, 2550, 8700, 1230, 3752, 31471, 3723, 8, 1294, 8071, 1209, 1205, 3726, 1142, 4517, 58, 1704, 3980, 95, 24526, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 23635, 10137, 3875, 27857, 1726, 21881, 1533, 4769, 1009, 1766, 31826, 4934, 2663, 8192, 17181, 5835, 3051, 15, 13601, 1006, 7975, 19, 4787, 1694, 1150, 3413, 1646, 1305, 1138, 3980, 95, 24526, 32, 1026, 23313, 1233, 5092, 1054, 4380, 1406, 1048, 3168, 1026, 4288, 6954, 71, 2731, 11137, 1005, 8699, 1072, 1561, 1406, 1049, 4868, 10974, 1574, 1017, 8819, 2645, 14874, 46, 24286, 3883, 8192, 17181, 5835, 3051, 1565, 3512, 18913, 25140, 29454, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 9203, 12376, 19261, 2645, 14874, 57, 21, 4826, 11285, 1327, 1132, 11988, 3812, 31856, 1072, 1561, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 8914, 28, 10137, 3875, 27857, 1726, 21881, 3021, 3465, 1631, 12712, 1024, 168, 6070, 6281, 1349, 1570, 24261, 31757, 6070, 1926, 5167, 33, 8305, 3083, 3642, 11285, 1005, 2231, 1342, 1073, 1262, 1856, 2645, 14874, 13603, 29402, 22219, 22473, 1327, 1132, 11988, 1049, 9032, 8605, 1072, 3878, 13594, 1357, 2611, 59, 22219, 20825, 1063, 4751, 2177, 21748, 1356, 7346, 1060, 10812, 1072, 6332, 1005, 1356, 5979, 1049, 15302, 1009, 11137, 1005, 5027, 1060, 26625, 48, 1072, 13838, 2904, 1988, 11939, 1005, 4366, 1035, 3936, 1021, 4703, 1149, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 8914, 26, 10137, 3875, 27857, 1726, 21062, 1704, 2743, 6130, 51, 2391, 5544, 4855, 1026, 19908, 1009, 8605, 5027, 11939, 1005, 4366, 1035, 3936, 1021, 4703, 2485, 3027, 1159, 11988, 21899, 7438, 7829, 25304, 1126, 1766, 31826, 17743, 3496, 5581, 13439, 1005, 12376, 1106, 1214, 30588, 2247, 1009, 3512, 18913, 25140, 29454, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 1570, 2103, 4663, 9860, 79, 1159, 9032, 14621, 9806, 13093, 1005, 16237, 13593, 1796, 1014, 18599, 1392, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 5, 4059, 10913, 3875, 27857, 1726, 20925, 1833, 22545, 13808, 1792, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 5924, 1026, 2011, 7311, 1091, 3840, 74, 8540, 32, 1338, 13093, 2638, 1032, 2897, 1005, 16237, 13593, 5926, 4486, 1072, 17240, 1796, 1014, 18599, 1047, 8, 1114, 7975, 10129, 30014, 1937, 12877, 1048, 1225, 23287, 5217, 2816, 19593, 11285, 1159, 1860, 25440, 1005, 1482, 4257, 1144, 4080, 19593, 54, 33, 21896, 2164, 15, 1159, 4764, 10823, 2212, 1072, 19908, 4594, 2529, 27853, 1062, 1174, 17885, 1138, 31244, 2784, 1026, 7460, 1053, 5408, 1005, 1026, 30901, 1463, 6194, 1060, 3836, 1072, 3041, 7792, 14252, 2536, 16555, 32, 10736, 1434, 1377, 1093, 4589, 3397, 21, 1367, 1361, 21, 6689, 27853, 3577, 1174, 1905, 1797 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1163, 1902, 79, 1071, 5312, 1995, 1348, 1009, 6110, 5166, 1079, 31552, 1073, 14874, 13603, 29402, 22219, 22473, 12004, 4246, 1439, 1006, 9416, 28937, 1094, 1823, 10933, 1060, 4173, 1060, 3811, 1009, 2272, 4993, 5018, 1102, 32, 1365, 15474, 1009, 3963, 1990, 1005, 1009, 11502, 13074, 1406, 1048, 3168, 1026, 4288, 1009, 7614, 1063, 1955, 26995, 13908, 1072, 1561, 1288, 1094, 10091, 1823, 21518, 1059, 4439, 2194, 30022, 5829, 13908, 1005, 15971, 1170, 5027, 1020, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 27636, 1009, 3268, 1009, 8936, 1726, 16473, 2721, 1691, 2628, 1045, 1082, 7765, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 4246, 1439, 1006, 9416, 2951, 3633, 1149, 1049, 6502, 1009, 20505, 6558, 16200, 1072, 1561, 8, 1072, 4288, 1150, 4439, 2194, 30022, 5829, 13908, 1005, 15971, 1170, 5027, 1020, 1479, 25773, 16953, 2651, 2897, 1406, 19035, 1357, 1063, 48, 6767, 2870, 5411, 1009, 4669, 1105, 1485, 1154, 1054, 28655, 1159, 1026, 7301, 1009, 30285, 1054, 7564, 9317, 6493, 1060, 29225, 16434, 2098, 1074, 2699, 23078, 1054, 1134, 11842, 6745, 3613, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 17672, 1009, 3042, 1009, 8936, 1726, 21243, 23151, 17887, 26784, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 18876, 2860, 7980, 6070, 2393, 22473, 1327, 1132, 11988, 1049, 4583, 3256, 3682, 6032, 5371, 1170, 1463, 1134, 11842, 6745, 11072, 1860, 2408, 1118, 23397, 1396, 1137, 7706, 3106, 48, 23376, 1048, 3168, 1006, 6297, 24843, 1140, 30173, 6164, 12448, 77, 6933, 28901, 1082, 1575, 3102, 1005, 13838, 14892, 89, 15478, 8391, 1115, 1095, 31283, 4887, 1269, 1806, 1066, 1262, 1097, 1654, 8914, 25, 1009, 3042, 1009, 8936, 1726, 20925, 4355, 1885, 2390, 1344, 1421, 14270, 10095, 2940, 1049, 1073, 14874, 13603, 29402, 22219, 15720, 5544, 4246, 1439, 1006, 9416, 8522, 24888, 6933, 1800, 1054, 3650, 1066, 32, 6335, 7085, 1102, 1068, 9066, 1026, 24614, 1324, 1048, 31009, 1124, 3638, 1060, 13560, 9550, 7544, 1005, 8699, 11284, 22864, 1140, 1072, 1073, 14874, 57, 29402, 6281, 1118, 11069, 11369, 2098, 16657, 1628, 1391, 1009, 7564, 18147, 5026, 1158, 1006, 3295, 7447, 18, 1726, 21171, 3452, 1467, 7680, 54, 8192, 57, 6825, 150, 1026, 21806, 1559, 1999, 15302, 1009, 2611, 5811, 1009, 7564, 18147, 1009, 1158, 1006, 3295, 7447, 20, 1063, 31273, 5142, 18130, 1394, 1005, 8113, 32, 1244, 6986, 1678, 6621, 18, 5556, 1005, 10363, 8206, 3332, 5694, 9203, 1561, 13439, 2645, 14874, 13603, 29402, 22219, 28758, 6891, 11377, 10348, 6136, 11805, 29402, 2393, 22473, 1005, 16102, 31649, 8201, 6070, 2393, 28758, 1847, 5589, 1140, 1118, 15621, 5045, 1021, 11721, 19593, 11285, 1005, 20723, 1236, 1118, 28211, 27652, 7706, 6070, 1926, 5167, 15, 3021, 1425, 1010, 1049, 8605, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 31023, 1009, 3042, 1009, 8936, 1726, 21881, 5735, 1302, 83, 2787, 2642, 20694, 30348, 3083, 3642, 15908, 3236, 8877, 7438, 7829, 2645, 14874, 13603, 29402, 22219, 28758, 4243, 18765, 13700, 8126, 2238, 25344, 2834, 1060, 26625, 22473, 1005, 2434, 30627, 18987, 17608, 1060, 28349, 29402, 22219, 22473, 28926, 1006, 7975, 3601, 1010, 1049, 2011, 1072, 3009, 17259, 1751, 1060, 6651, 1049, 8566, 1009, 19855, 26625, 48, 17, 8259, 2376, 14197, 8113, 1068, 1026, 3878, 3366, 4949, 1356, 15302, 1009, 11137, 1005, 5027, 20, 2536, 1869, 8866, 675, 4536, 88, 80, 83, 1102, 8259, 20, 1296, 26182, 4536, 88, 80, 5185, 3812, 12792, 4075, 16413, 1005, 7846, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 5, 3876, 1009, 3383, 1009, 8936, 1726, 14248, 2721, 3341, 17112, 8877, 7438, 7829, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 5924, 1006, 5556, 3943, 4898, 24046, 1343, 1072, 2293, 1009, 20328, 14774, 2011, 1005, 8718, 13631, 8, 1072, 15302, 3379, 2860, 1054, 14567, 14942, 6076, 32, 7846, 19300, 1629, 1054, 3379, 2860, 32, 1068, 1571, 4803, 3900, 2702, 1636, 8747, 1072, 4819, 1049, 8605, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 5, 3531, 1009, 3383, 1009, 8936, 1726, 21245, 3021, 26422, 21843, 11433, 14464, 2645, 14874, 13603, 29402, 22219, 22473, 1023, 1517, 1937, 1006, 1082, 56, 24487, 1205, 11321, 1005, 25773, 7527, 8747, 1072, 4819, 1049, 8605, 25830, 8866, 1049, 1457, 1045, 169, 1213, 6272, 1049, 19835, 1893, 13727, 4436, 18, 1048, 1225, 1159, 7287, 30177, 17059, 30348, 3083, 3642, 15908, 10660, 19539, 5305, 6070, 22219, 16822, 1005, 6318, 18638, 3281, 79, 2645, 14874, 13603, 29402, 22219, 48, 3377, 58, 1045, 4887, 1390, 1137, 1072, 19835, 1893, 13727, 4436, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 28972, 1009, 3383, 1009, 8936, 1726, 21245, 2904, 1024, 2871, 7626, 17175, 2663, 7270, 4134, 15908, 26668, 1009, 11236, 30348, 3083, 3642, 54, 33, 13727, 4436, 15, 1005, 12376, 16485, 2663, 7270, 5705, 1047, 15, 1327, 1132, 11988, 1068, 1026, 9032, 3292, 10042, 1161, 1187, 14, 18200, 6709, 14, 18200, 1322, 1026, 2809, 4887, 1390, 1137, 32, 1858, 1005, 27575, 1322, 1006, 3780, 25233, 1009, 1062, 7270, 21, 5881, 4436, 21, 3642, 2713, 20825, 1138, 3366, 4597, 1006, 17675, 1009, 3512, 16859, 24453, 2452, 3013, 1009, 6110, 5166, 1079, 31552, 30731, 1006, 7558, 2713, 48, 1005, 1213, 1073, 14874, 13603, 29402, 22219, 48, 3482, 1097, 79, 4968, 18793, 5074, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 23635, 1009, 3383, 1009, 8936, 1726, 20925, 1533, 1134, 5071, 11805, 26881, 1068, 1006, 1307, 1377, 14213, 1134, 5071, 11805, 5251, 15957, 3730, 1436, 18793, 5074, 1406, 13884, 6339, 1065, 8933, 5196, 1226, 21470, 4356, 1707, 1292, 1056, 8275, 13368, 1088, 1324, 6512, 1349, 21381, 2345, 8540, 19593, 11285, 1005, 10340, 1082, 7765, 2645, 14874, 13603, 29402, 22219, 22473, 1159, 14805, 1229, 1005, 6222, 1009, 10810, 9203, 2079, 3763, 2645, 17118, 1134, 5071, 2164, 11285, 1005, 1499, 4372, 1009, 30177, 1387, 9154, 19593, 54, 3377, 57, 1097, 10933, 28972, 1009, 3383, 1009, 8936, 1726, 20763, 4355, 17792, 1047, 1868, 2838, 1107, 1018, 2645, 14874, 13603, 29402, 22219, 22473, 1096, 1026, 12899, 1060, 2700, 1138, 1048, 1096, 23314, 25479, 1356, 2743, 1009, 7614, 28596, 75, 1072, 1156, 7635, 6822, 14846, 1138, 1048, 1096, 2387, 10933, 37, 7359, 1706, 1029, 17831, 1072, 9818, 8676, 14892, 74, 10681, 1099, 1016, 9906, 1706, 1029, 2233, 1262, 1097, 1654, 27725, 1009, 3353, 1009, 8936, 1726, 12150, 2721, 3021, 1045, 1342, 31336, 8165, 4138, 2645, 54, 11789, 29402, 22219, 28758, 3132, 1179, 1047, 1868, 2838, 1107, 1018, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 11023, 1056, 17929, 4271, 1079, 1164, 2940, 1073, 14874, 13603, 29402, 22219, 22473, 12004, 6098, 1049, 10527, 1225, 4631, 11137, 1009, 11187, 1005, 17428, 1048, 3168, 1026, 7712, 1105, 3216, 1049, 30887, 1060, 26625, 20825, 1063, 4751, 2177, 5191, 1114, 5309, 5843, 1005, 2177, 1860, 3234, 1118, 31131, 2397, 6238, 25382, 3706, 1392, 1049, 10407, 1303, 5170, 14892, 74, 10681, 1099, 1016, 9906, 1706, 1029, 2233, 1262, 1097, 1654, 8914, 29, 1009, 3353, 1009, 8936, 1726, 21245, 1533, 4872, 8686, 1163, 1458, 4501, 18638, 85, 15687, 77, 1458, 3677, 4830, 1007, 2005, 15, 6825, 150, 1026, 4711, 1049, 3066, 2373, 8891, 3706, 1392, 1049, 8299, 2952, 4324, 1009, 13460, 1009, 2462, 6720, 1128, 1010, 1133, 1119, 2162, 13360, 2645, 14874, 57, 29402, 6281, 15, 1005, 1106, 2787, 14235, 80, 2645, 14874, 13603, 29402, 22219, 28758, 1043, 1860, 2189, 1060, 12948, 4872, 1034, 1205, 1423, 1925, 2098, 1078, 14206, 1009, 10438, 1112, 1060, 20574, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 5, 3876, 1009, 3370, 1009, 8936, 1726, 22291, 3021, 1024, 1342, 28307, 12083, 1163, 1902, 79, 1071, 5312, 1995, 1348, 1009, 6110, 5166, 1079, 31552, 1049, 1073, 14874, 13603, 29402, 22219, 22473, 1005, 17175, 1082, 4719, 1045, 1327, 1132, 11988, 1060, 3536, 1049, 26615, 1069, 3064, 16618, 20064, 2951, 4380, 1049, 2232, 3465, 20813, 1005, 1124, 5629, 8317, 1322, 1006, 3122, 1112, 1009, 6685, 14398, 1012, 3380, 2404, 1005, 24979, 1876, 28972, 1009, 3370, 1009, 8936, 1726, 21245, 1704, 3366, 2487, 3380, 2404, 1005, 24979, 1876, 32, 16847, 1005, 11320, 1331, 6420, 13594, 1356, 5549, 1009, 11609, 24979, 11216, 1590, 9243, 1005, 1006, 2387, 20358, 1411, 5544, 13275, 22887, 4687, 10358, 12216, 30348, 3083, 3642, 15908, 11069, 2422, 2515, 13833, 1589, 1074, 4271, 1079, 1164, 2940, 1049, 1073, 14874, 13603, 29402, 22219, 22473, 1005, 29419, 1009, 17059, 12216, 19593, 54, 1565, 1063, 8090, 2177, 5191, 1356, 14818, 14796, 19160, 15366, 27737, 25826, 37, 92, 35, 8799, 80, 83, 77, 41, 87, 22, 4134, 22, 1833, 1269, 1468, 8676, 14892, 74, 10681, 1099, 1016, 9906, 1706, 1029, 2233, 1262, 1097, 1654, 20817, 10546, 3875, 27857, 1726, 20763, 4355, 17792, 1047, 1868, 2838, 1107, 1018, 2645, 14874, 13603, 29402, 22219, 22473, 1096, 1026, 12899, 1049, 19908, 2376, 23026, 16322, 32, 8566, 1009, 7422, 4525, 13522, 1006, 5556, 9818, 8676, 1072, 23185, 9330, 1005, 3177, 20, 1063, 4751, 2177, 1860, 3234, 1118, 1570, 12218, 24255, 2737, 11986, 1005, 20567, 1623, 24863, 79, 1049, 16477, 5972, 2247, 1049, 9032, 1009, 19064, 14090, 78, 7260, 5735, 71, 1228, 6235, 4624, 10305, 5221, 1009, 20940, 18860, 14892, 92, 2839, 8034, 1363, 1408, 8954, 1436, 1040, 31911, 1436, 8914, 23, 10546, 3875, 27857, 1726, 24886, 26164, 3541, 11159, 50, 15910, 7626, 1106, 2520, 27837, 2645, 9543, 14125, 1349, 4644, 1205, 1827, 1052, 4273, 1014, 1843, 2628, 2663, 8560, 20681, 22881, 2844, 2538, 1139, 1047, 1228, 42, 50, 11515, 1005, 27032, 1138, 624, 18402, 31696, 2645, 14874, 13603, 29402, 22219, 22473, 1327, 1132, 11988, 1049, 3366, 1009, 4711, 1049, 3066, 2955, 1228, 6235, 4624, 10305, 5221, 1009, 20940, 18860, 4356, 10654, 1106, 1174, 1189, 73, 2491, 1400, 3209, 1565, 1138, 3366, 2177, 17644, 1356, 29077, 3812, 20755, 1568, 1078, 14206, 1009, 8084, 14892, 89, 15478, 8391, 1115, 1095, 31283, 4887, 1269, 1806, 1066, 1262, 1097, 1654, 5961, 10137, 3875, 27857, 1726, 21243, 6383, 88, 6369, 18628, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 5924, 1006, 17410, 7311, 2662, 1029, 9393, 1009, 1094, 5826, 1568, 1034, 6158, 32, 3065, 1568, 1078, 14206, 1009, 3227, 1005, 1026, 2550, 8700, 1230, 3752, 31471, 3723, 8, 1294, 8071, 1209, 1205, 3726, 1142, 4517, 58, 1704, 3980, 95, 24526, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 23635, 10137, 3875, 27857, 1726, 21881, 1533, 4769, 1009, 1766, 31826, 4934, 2663, 8192, 17181, 5835, 3051, 15, 13601, 1006, 7975, 19, 4787, 1694, 1150, 3413, 1646, 1305, 1138, 3980, 95, 24526, 32, 1026, 23313, 1233, 5092, 1054, 4380, 1406, 1048, 3168, 1026, 4288, 6954, 71, 2731, 11137, 1005, 8699, 1072, 1561, 1406, 1049, 4868, 10974, 1574, 1017, 8819, 2645, 14874, 46, 24286, 3883, 8192, 17181, 5835, 3051, 1565, 3512, 18913, 25140, 29454, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 9203, 12376, 19261, 2645, 14874, 57, 21, 4826, 11285, 1327, 1132, 11988, 3812, 31856, 1072, 1561, 14892, 10436, 1145, 75, 17500, 4887, 1390, 1137, 8914, 28, 10137, 3875, 27857, 1726, 21881, 3021, 3465, 1631, 12712, 1024, 168, 6070, 6281, 1349, 1570, 24261, 31757, 6070, 1926, 5167, 33, 8305, 3083, 3642, 11285, 1005, 2231, 1342, 1073, 1262, 1856, 2645, 14874, 13603, 29402, 22219, 22473, 1327, 1132, 11988, 1049, 9032, 8605, 1072, 3878, 13594, 1357, 2611, 59, 22219, 20825, 1063, 4751, 2177, 21748, 1356, 7346, 1060, 10812, 1072, 6332, 1005, 1356, 5979, 1049, 15302, 1009, 11137, 1005, 5027, 1060, 26625, 48, 1072, 13838, 2904, 1988, 11939, 1005, 4366, 1035, 3936, 1021, 4703, 1149, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 8914, 26, 10137, 3875, 27857, 1726, 21062, 1704, 2743, 6130, 51, 2391, 5544, 4855, 1026, 19908, 1009, 8605, 5027, 11939, 1005, 4366, 1035, 3936, 1021, 4703, 2485, 3027, 1159, 11988, 21899, 7438, 7829, 25304, 1126, 1766, 31826, 17743, 3496, 5581, 13439, 1005, 12376, 1106, 1214, 30588, 2247, 1009, 3512, 18913, 25140, 29454, 2645, 14874, 13603, 29402, 22219, 22473, 1005, 1570, 2103, 4663, 9860, 79, 1159, 9032, 14621, 9806, 13093, 1005, 16237, 13593, 1796, 1014, 18599, 1392, 14892, 1218, 1087, 1988, 3551, 1219, 2147, 17983, 5, 4059, 10913, 3875, 27857, 1726, 20925, 1833, 22545, 13808, 1792, 2645, 14874, 13603, 29402, 22219, 22473, 5544, 5924, 1026, 2011, 7311, 1091, 3840, 74, 8540, 32, 1338, 13093, 2638, 1032, 2897, 1005, 16237, 13593, 5926, 4486, 1072, 17240, 1796, 1014, 18599, 1047, 8, 1114, 7975, 10129, 30014, 1937, 12877, 1048, 1225, 23287, 5217, 2816, 19593, 11285, 1159, 1860, 25440, 1005, 1482, 4257, 1144, 4080, 19593, 54, 33, 21896, 2164, 15, 1159, 4764, 10823, 2212, 1072, 19908, 4594, 2529, 27853, 1062, 1174, 17885, 1138, 31244, 2784, 1026, 7460, 1053, 5408, 1005, 1026, 30901, 1463, 6194, 1060, 3836, 1072, 3041, 7792, 14252, 2536, 16555, 32, 10736, 1434, 1377, 1093, 4589, 3397, 21, 1367, 1361, 21, 6689, 27853, 3577, 1174, 1905, 1797 ]

[ 1890, 1026, 3041, 18443, 4866, 2274, 1309, 1846, 1124, 12705, 1009, 21557, 1060, 17296, 1318, 2643, 23663, 1068, 1026, 4465, 3987, 22626, 1063, 3364, 1187, 1207, 1917, 1093, 1327, 20589, 2682, 1049, 2709, 1060, 20935, 2275, 14218, 20263, 1946, 6933, 2012, 1114, 6442, 1049, 2709, 1327, 1015, 2145, 78, 5120, 1026, 1151, 5882, 1876, 1005, 1006, 24913, 10542, 150, 13, 162, 1059, 1424, 3131, 15961, 1145, 3705, 1809, 1065, 1105, 6393, 11111, 4366, 3087, 10013, 3251, 8862, 18983, 1654, 2691, 2688, 1124, 1783, 1693, 1058, 19106, 1072, 6967, 20, 2034, 26033, 1049, 6967, 1009, 4127, 1068, 6546, 8862, 1195, 15347, 29004, 1043, 1779, 2534, 24, 8401, 17604, 1043, 10459, 31, 8401, 1502, 1079, 1878, 3873, 1223, 5781, 15, 1043, 10459, 31, 8401, 22176, 1206, 16297, 4631, 1043, 4662, 7089, 1005, 1734, 21, 12677, 18432, 1043, 3519, 7089, 20, 1138, 1831, 6967, 1114, 6442, 1049, 7247, 3330, 1054, 7976, 2081, 7734, 1048, 1132, 17604, 2821, 2241, 3295, 11, 1060, 2779, 33, 1989, 2285, 9564, 1068, 2182, 11, 1060, 2779, 1054, 8911, 8385, 20831, 1006, 1712, 1751, 1060, 3486, 2779, 1096, 20227, 1159, 1150, 26152, 1685, 8, 1206, 5938, 1259, 1007, 1406, 1309, 1989, 2417, 9909, 1160, 1096, 6932, 1250, 8826, 5141, 1105, 2682, 1859, 26029, 1667, 1766, 3145, 4440, 15961, 1391, 15347, 5241, 1132, 2752, 1075, 3662, 2311, 1932, 1273, 4933, 1252, 1932, 7610, 1016, 1252, 1137, 1049, 3821, 1349, 1080, 1241, 1171, 79, 7610, 1016, 1252, 1137, 1049, 3184, 1349, 26211, 29920, 13810, 1273, 1030, 1617, 77, 1273, 1111, 150, 96, 1020, 1005, 1028, 20182, 1045, 1400, 1132, 2688, 16381, 1124, 11547, 1080, 1120, 8668, 1063, 2779, 1502, 1079, 1878, 3873, 1326, 1130, 3980, 1654, 15, 1325, 5058, 1713, 3587, 1114, 2413, 1049, 11446, 1005, 3904, 1009, 1094, 9546, 1009, 16090, 15961, 3589, 1159, 1132, 6069, 1229, 1953, 1137, 2255, 4408, 1678, 17763, 1022, 1273, 21044, 1005, 3010, 13646, 5044, 3821, 28995, 2314, 17604, 1327, 3587, 19542, 1009, 12832, 14127, 9755, 1400, 16815, 1172, 4950, 1051, 1252, 1400, 17341, 1005, 1734, 27730, 15445, 1005, 10315, 9039, 1063, 28550, 1149, 1160, 6578, 1411, 3587, 31901, 1005, 16297, 7989, 11214, 3863, 1294, 19542, 1187, 27730, 12832, 14127, 5219, 4545, 1009, 4187, 32, 1026, 20366, 6571, 1009, 28550, 1149, 1160, 22201, 5413, 1195, 1009, 1675, 10390, 10426, 1005, 5141, 1105, 9765, 1857, 1327, 20346, 1054, 10447, 151, 1222, 2106, 1048, 16381, 10447, 1948, 1870, 1005, 1132, 4440, 1009, 17604, 7774, 82, 5078, 1081, 1554, 1063, 2779, 12737, 1225, 5087, 17032, 3121, 1233, 6167, 5405, 1009, 11763, 1149, 1005, 1233, 22096, 1582, 33, 1365, 1132, 6863, 1048, 3542, 1040, 1114, 4497, 3987, 2779, 1009, 22096, 19276, 2653, 1011, 5706, 1006, 15514, 5405, 1009, 16200, 1149, 1005, 1124, 5629, 1009, 3597, 3315, 2636, 1049, 18837, 7731, 15391, 6151, 1422, 3949, 1910, 3821, 28995, 2314, 17604, 22096, 9446, 31130, 1049, 7751, 6836, 1187, 25492, 6299, 1009, 22096, 9745, 2088, 15081, 15445, 1058, 2962, 1412, 1072, 1908, 4666, 24902, 7766, 9861, 23020, 1371, 1048, 1101, 2944, 1910, 10385, 17341, 3586, 7112, 1435, 1114, 6442, 1049, 13759, 7766, 7218, 1989, 2285, 1298, 1261, 3412, 1188, 1068, 1039, 1407, 1361, 31511, 8144, 2752, 9213, 1182, 91, 2314, 17604, 22096, 9446, 1068, 1006, 6442, 1049, 13759, 8144, 1187, 3948, 1184, 1294, 90, 1828, 77, 1391, 1060, 4668, 1327, 8903, 1114, 2706, 4114, 1159, 9445, 10243, 93, 1018, 1406, 1118, 3865, 1060, 7565, 2020, 10243, 23335, 2020, 1281, 1098, 14926, 1085, 8529, 1715, 10224, 1048, 1857, 16944, 3754, 1213, 22991, 1439, 1569, 10034, 1114, 5530, 3854, 1732, 2275, 11591, 1318, 1114, 6442, 1049, 2709, 1094, 4668, 22096, 8479, 19716, 1009, 3116, 14127, 14775, 18289, 6683, 1060, 9114, 1060, 5644, 2469, 1847, 1751, 18622, 1230, 1566, 1009, 2750, 6697, 1658, 2779, 1634, 2860, 4064, 1233, 6442, 1049, 2709, 1159, 6709, 27942, 1068, 4524, 1463, 6912, 1394, 1009, 13040, 1054, 7490, 1072, 1852, 1049, 3009, 7745, 1005, 2738, 1049, 3009, 31651, 5126, 12990, 1009, 2625, 5314, 1049, 1681, 1331, 21037, 1634, 7068, 1289, 1648, 20263, 2625, 1005, 1558, 2241, 11547, 9450, 1728, 2858, 11166, 17852, 1047, 1365, 1634, 6436, 1005, 2752, 29096, 14990, 1085, 1379, 1054, 21795, 1114, 1641, 1009, 1119, 8049, 11095, 11591, 1318, 1044, 2417, 10745, 1009, 3821, 28995, 2314, 21044, 28174, 1009, 18520, 1910, 1783, 15, 1005, 3745, 1095, 10958, 1907, 28174, 1009, 25579, 1910, 1783, 1565, 1482, 7624, 1026, 8676, 5995, 1009, 1073, 1829, 1486, 22378, 1048, 1132, 3821, 28995, 2314, 21044, 1048, 9686, 1213, 1908, 1996, 1009, 9339, 1929, 1648, 1178, 1494, 6104, 8444, 1159, 10095, 79, 13323, 2800, 3435, 2429, 23246, 2916, 1009, 14219, 1006, 19166, 1910, 1187, 10385, 20589, 2682, 21044, 1048, 9686, 1996, 1009, 9339, 7100, 1048, 5759, 1009, 1307, 11, 1006, 22573, 1049, 3225, 1060, 2779, 17930, 1072, 1908, 1349, 2177, 4310, 1009, 1058, 19937, 1009, 5629, 1009, 14471, 26042, 1049, 2671, 1113, 1156, 2715, 3036, 4395, 6442, 1049, 2709, 1225, 18869, 11547, 7878, 32, 10447, 1948, 1870, 15088, 1028, 20182, 1045, 1324, 1015, 1018, 1252, 1137, 1049, 20335, 1015, 1018, 1252, 1137, 1049, 19977, 22861, 1270, 1803, 1030, 27919, 5221, 1030, 1617, 14518, 27623, 2311, 1932, 71, 1005, 2752, 1075, 8668, 1482, 2285, 1009, 11547, 16095, 4065, 1026, 1908, 1096, 1026, 3078, 3478, 1657, 5626, 1060, 21904, 1005, 1060, 29456, 6836, 1009, 2252, 1124, 11547, 4207, 23187, 3879, 2565, 2350, 11547, 1327, 1558, 1312, 1184, 1049, 1048, 23757, 1551, 2303, 1043, 1026, 24691, 2769, 1009, 11057, 1124, 2125, 11547, 1184, 1558, 1312, 1054, 2573, 1327, 1026, 2752, 24022, 8387, 2394, 15795, 1349, 1026, 2311, 1932, 71, 2149, 2525, 28, 9395, 1005, 1026, 10447, 1948, 1014, 2149, 2394, 13201, 1565, 2656, 9669, 1526, 1026, 3124, 1009, 1048, 1026, 4431, 1096, 15167, 1159, 1006, 4397, 1049, 6545, 1005, 1060, 22518, 1847, 1558, 1140, 1054, 2573, 1118, 1657, 10459, 14441, 1187, 3821, 28995, 2314, 1054, 11057, 1094, 13403, 1416, 1620, 4863, 1049, 1048, 1054, 8163, 1071, 2414, 28, 9395, 1879, 1908, 1318, 17863, 5878, 1734, 15916, 1160, 7878, 32, 23626, 1165, 26250, 1953, 78, 93, 1324, 14637, 1171, 3022, 6927, 1126, 1028, 20182, 1731, 1049, 20335, 9222, 6905, 1803, 4408, 1005, 1006, 4397, 10149, 2006, 3821, 28995, 9549, 14327, 11547, 1160, 7878, 1693, 1178, 8728, 1054, 2111, 1394, 7878, 1054, 3905, 12189, 3273, 1571, 1195, 7620, 1048, 3592, 11547, 1327, 14190, 13104, 1776, 2268, 1569, 14164, 1160, 1327, 3927, 3628, 3056, 1068, 3866, 7142, 1026, 7970, 3267, 3242, 14869, 1271, 11547, 11886, 7878, 8, 1187, 11872, 4408, 1005, 1953, 1137, 2145, 1137, 79, 6515, 12317, 6837, 13631, 1048, 1058, 12352, 1040, 1054, 4188, 1213, 3184, 1060, 15270, 4287, 1034, 1005, 1009, 7974, 27919, 5221, 2247, 1009, 1734, 5679, 4846, 10497, 7912, 1229, 1048, 1327, 1094, 2779, 27065, 31650, 1009, 1734, 10447, 9628, 1225, 1224, 3486, 8564, 6932, 1043, 2068, 1054, 1569, 18463, 1009, 15833, 1544, 19, 1399, 1095, 1888, 20, 5126, 2643, 2281, 25042, 1314, 2585, 1054, 1807, 31801, 1005, 2739, 1271, 1569, 11547, 1826, 1054, 11607, 1009, 18293, 3242, 10781, 3821, 28995, 2314, 17604, 1318, 16381, 2089, 11547, 15004, 17806, 5494, 1159, 4894, 4593, 1029, 1069, 1318, 1118, 26785, 2314, 1005, 3073, 12682, 1031, 2314, 15347, 1349, 7719, 1005, 11394, 1100, 3702, 2088, 16297, 6602, 1005, 1634, 6436, 1114, 6442, 1049, 2709, 16381, 11547, 16297, 17599, 1159, 1026, 1030, 1877, 7117, 1172, 1917, 1803, 2025, 96, 1153, 5920, 3764, 1297, 1005, 2809, 91, 15904, 1138, 5976, 1096, 1620, 1558, 1140, 2309, 16815, 3821, 28995, 9628, 4807, 1054, 6453, 1159, 1006, 1134, 6572, 1358, 1137, 75, 4041, 1571, 4548, 2653, 3821, 28995, 2314, 1009, 4599, 6814, 1113, 20190, 2222, 17183, 21275, 2214, 1391, 1537, 5284, 1094, 3780, 1068, 1026, 3041, 6911, 10536, 22, 6576, 1196, 1357, 10870, 1271, 9103, 1431, 5006, 1006, 6442, 1049, 2709, 1195, 20227, 1054, 2277, 2269, 1054, 29453, 1005, 1054, 1831, 1068, 27423, 2184, 1005, 15703, 1209, 1200, 6043, 1377, 2034, 16647, 7878, 9610, 1048, 15870, 1783, 1327, 8439, 1312, 1664, 1132, 2250, 1114, 6442, 1049, 13759, 1138, 2285, 23630, 1009, 15703, 1209, 1118, 1901, 1096, 1009, 11923, 0, 2621, 1005, 23020, 1371, 1048, 1039, 1407, 1361, 1910, 15703, 1209, 1327, 9518, 1402, 17354, 1072, 7751, 1138, 3225, 1009, 10522, 1200, 29066, 1096, 1026, 1782, 0, 1365, 1132, 9572, 1893, 3825, 1072, 3957, 1009, 1858, 1879, 30440, 1096, 1044, 2863, 3707, 1114, 6442, 1049, 13759, 1482, 1094, 3780, 1009, 7905, 1044, 1054, 1752, 2848, 4031, 3821, 28995, 2314, 9838, 2644, 1261, 15703, 1905, 4327, 20, 3316, 1054, 1752, 2125, 1271, 2848, 1910, 3680, 12246, 1130, 1580, 1357, 13804, 1060, 7527, 2094, 3619, 1139, 3155, 1005, 5180, 15925, 1973, 1048, 2257, 2281, 3746, 1140, 1072, 1901, 16326, 1063, 6442, 1049, 2709, 1225, 1094, 1271, 4029, 1455, 1038, 1758, 1009, 15703, 1209, 1009, 3978, 1005, 23400, 1072, 7118, 1482, 1044, 15693, 4949, 1365, 28114, 3978, 25791, 1072, 1030, 2456, 1269, 19656, 1009, 1067, 2456, 17054, 1044, 5512, 1009, 1664, 1132, 19762, 14828, 1166, 10680, 1048, 16155, 1965, 5727, 1253, 1406, 1044, 5497, 1068, 30440, 1054, 12069, 1516, 2637, 20442, 1658, 3161, 4612, 1049, 1908, 3902, 3227, 1054, 30468, 13749, 4435, 3983, 12010, 22096, 7691, 1060, 6442, 1049, 2709, 1318, 18543, 1048, 1026, 8241, 1195, 1044, 1807, 7697, 1348, 1068, 1857, 1710, 29408, 1049, 7751, 1138, 8241, 1717, 1006, 4668, 19675, 5898, 1006, 1178, 1044, 1807, 10999, 12548, 2863, 3729, 1069, 1356, 1908, 1096, 1006, 3838, 24257, 2952, 1005, 9482, 33, 1124, 4761, 3821, 28995, 5817, 22173, 5072, 20647, 17374, 12708, 1005, 1084, 81, 1189, 78, 1075, 26342, 1596, 6162, 1312, 1159, 1124, 1184, 14088, 1102, 1049, 5108, 2277, 6840, 1060, 13920, 14547, 1054, 3837, 1113, 5731, 1005, 3568, 4395, 6442, 1049, 2709, 1225, 2125, 23362, 32, 7022, 1049, 4986, 1100, 1006, 1712, 1271, 2125, 18, 1096, 1006, 3861, 5612, 2636, 33, 1073, 1829, 1486, 1096, 1006, 3861, 7324, 1005, 9631, 1040, 76, 2675, 1021, 1096, 1006, 3861, 7058, 1031, 10164, 20, 6442, 1049, 2709, 1225, 1044, 22784, 8710, 1046, 1669, 32, 1026, 5019, 2769, 1009, 8991, 15357, 3995, 3637, 3596, 1349, 1225, 1335, 1893, 28949, 2097, 1006, 7972, 2769, 3995, 3637, 6167, 15, 1225, 2848, 73, 1361, 3948, 5044, 3948, 1060, 4338, 1187, 17633, 1327, 15956, 3552, 2068, 9909, 1118, 10068, 22637, 32, 6746, 1187, 3948, 1327, 15956, 1118, 14883, 7441, 1005, 1006, 2924, 6746, 1327, 15956, 1054, 14883, 24224, 23489, 7900, 3948, 1327, 15956, 1068, 11042, 1752, 5704, 1072, 5019, 2769, 1271, 8991, 15357, 18, 12027, 1060, 2779, 1060, 5704, 20, 2231, 9858, 1068, 9389, 1124, 31507, 1327, 8364, 1006, 1752, 3251, 4844, 1138, 2671, 1096, 9110, 1114, 2573, 1184, 27923, 1005, 1026, 5548, 1049, 6387, 1712, 6434, 1114, 7972, 2769, 1096, 1026, 2670, 21254, 1026, 2822, 1049, 8292, 1208, 1038, 1054, 15391, 1006, 3568, 3821, 28995, 1685, 1225, 2281, 6097, 1069, 1356, 7026, 2769, 14002, 1577, 1071, 26626, 1349, 1048, 1195, 1026, 6387, 6097, 4289, 1043, 5251, 19, 4700, 11, 1187, 4427, 1554, 1138, 2751, 17882, 1049, 2671, 1049, 7680, 41, 1096, 1026, 6387, 1060, 21520, 7945, 4342, 1961, 1048, 3661, 18068, 14441, 1187, 7533, 1114, 8151, 1009, 4152, 1005, 15340, 16785, 1463, 6283, 1009, 4238, 1879, 6387, 8830, 6097, 4289, 1026, 6969, 5428, 14845, 1048, 24950, 1026, 8292, 1208, 1038, 2328, 1049, 1235, 10741, 1813, 2212, 1026, 5428, 14845, 24191, 1118, 1058, 2225, 1130, 1043, 1026, 7680, 6540, 1054, 1844, 1009, 3149, 1009, 17451, 12548, 1807, 6387, 5098, 17960, 1072, 13740, 1096, 1026, 15982, 1544, 1357, 20574, 12104, 1961, 1048, 1195, 5447, 1054, 4119, 1005, 4857, 8856, 19599, 1187, 7533, 1054, 4152, 21254, 10131, 1026, 1908, 2569, 2653, 8471, 1009, 16131, 30765, 2088, 3746, 10245, 5700, 10188, 1009, 2303, 1043, 1044, 8169, 2274, 1026, 1150, 2002, 1513, 1184, 13110, 1054, 20067, 1072, 1784, 2100, 1482, 7624, 1006, 6442, 1049, 2709, 1195, 20227, 1114, 1487, 0, 1365, 9417, 3825, 1060, 6442, 1681, 1352, 1024, 2860, 1356, 21197, 1156, 4050, 30350, 1009, 4549, 2648, 14002, 9549, 1063, 6442, 1049, 2709, 2569, 8811, 3770, 1463, 8862, 1009, 2956, 1009, 3344, 2784, 5180, 15925, 1005, 3258, 8014, 1005, 12711, 1112, 1005, 11837, 6268, 9628, 1309, 7035, 3328, 1356, 1235, 4818, 9900, 10092, 1054, 4300, 1005, 8084, 20, 1138, 21197, 1156, 4050, 30350, 1096, 1094, 4375, 7933, 1009, 30390, 10447, 5221, 1043, 2068, 1054, 1094, 2700, 1009, 8845, 1048, 29890, 1026, 3189, 1043, 1048, 1132, 12685, 9656, 1046, 8738, 7769, 10956, 1679, 1456, 10385, 1113, 6782, 25016, 3145, 6768, 1009, 3282, 3821, 28995, 5817, 1327, 1026, 3282, 2410, 5929, 15678, 11566, 1078, 1330, 1438, 1005, 1026, 3282, 4987, 6934, 1072, 3282, 3707, 15088, 1159, 1124, 1966, 1161, 1009, 12289, 2147, 24484, 1005, 1049, 18443 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1890, 1026, 3041, 18443, 4866, 2274, 1309, 1846, 1124, 12705, 1009, 21557, 1060, 17296, 1318, 2643, 23663, 1068, 1026, 4465, 3987, 22626, 1063, 3364, 1187, 1207, 1917, 1093, 1327, 20589, 2682, 1049, 2709, 1060, 20935, 2275, 14218, 20263, 1946, 6933, 2012, 1114, 6442, 1049, 2709, 1327, 1015, 2145, 78, 5120, 1026, 1151, 5882, 1876, 1005, 1006, 24913, 10542, 150, 13, 162, 1059, 1424, 3131, 15961, 1145, 3705, 1809, 1065, 1105, 6393, 11111, 4366, 3087, 10013, 3251, 8862, 18983, 1654, 2691, 2688, 1124, 1783, 1693, 1058, 19106, 1072, 6967, 20, 2034, 26033, 1049, 6967, 1009, 4127, 1068, 6546, 8862, 1195, 15347, 29004, 1043, 1779, 2534, 24, 8401, 17604, 1043, 10459, 31, 8401, 1502, 1079, 1878, 3873, 1223, 5781, 15, 1043, 10459, 31, 8401, 22176, 1206, 16297, 4631, 1043, 4662, 7089, 1005, 1734, 21, 12677, 18432, 1043, 3519, 7089, 20, 1138, 1831, 6967, 1114, 6442, 1049, 7247, 3330, 1054, 7976, 2081, 7734, 1048, 1132, 17604, 2821, 2241, 3295, 11, 1060, 2779, 33, 1989, 2285, 9564, 1068, 2182, 11, 1060, 2779, 1054, 8911, 8385, 20831, 1006, 1712, 1751, 1060, 3486, 2779, 1096, 20227, 1159, 1150, 26152, 1685, 8, 1206, 5938, 1259, 1007, 1406, 1309, 1989, 2417, 9909, 1160, 1096, 6932, 1250, 8826, 5141, 1105, 2682, 1859, 26029, 1667, 1766, 3145, 4440, 15961, 1391, 15347, 5241, 1132, 2752, 1075, 3662, 2311, 1932, 1273, 4933, 1252, 1932, 7610, 1016, 1252, 1137, 1049, 3821, 1349, 1080, 1241, 1171, 79, 7610, 1016, 1252, 1137, 1049, 3184, 1349, 26211, 29920, 13810, 1273, 1030, 1617, 77, 1273, 1111, 150, 96, 1020, 1005, 1028, 20182, 1045, 1400, 1132, 2688, 16381, 1124, 11547, 1080, 1120, 8668, 1063, 2779, 1502, 1079, 1878, 3873, 1326, 1130, 3980, 1654, 15, 1325, 5058, 1713, 3587, 1114, 2413, 1049, 11446, 1005, 3904, 1009, 1094, 9546, 1009, 16090, 15961, 3589, 1159, 1132, 6069, 1229, 1953, 1137, 2255, 4408, 1678, 17763, 1022, 1273, 21044, 1005, 3010, 13646, 5044, 3821, 28995, 2314, 17604, 1327, 3587, 19542, 1009, 12832, 14127, 9755, 1400, 16815, 1172, 4950, 1051, 1252, 1400, 17341, 1005, 1734, 27730, 15445, 1005, 10315, 9039, 1063, 28550, 1149, 1160, 6578, 1411, 3587, 31901, 1005, 16297, 7989, 11214, 3863, 1294, 19542, 1187, 27730, 12832, 14127, 5219, 4545, 1009, 4187, 32, 1026, 20366, 6571, 1009, 28550, 1149, 1160, 22201, 5413, 1195, 1009, 1675, 10390, 10426, 1005, 5141, 1105, 9765, 1857, 1327, 20346, 1054, 10447, 151, 1222, 2106, 1048, 16381, 10447, 1948, 1870, 1005, 1132, 4440, 1009, 17604, 7774, 82, 5078, 1081, 1554, 1063, 2779, 12737, 1225, 5087, 17032, 3121, 1233, 6167, 5405, 1009, 11763, 1149, 1005, 1233, 22096, 1582, 33, 1365, 1132, 6863, 1048, 3542, 1040, 1114, 4497, 3987, 2779, 1009, 22096, 19276, 2653, 1011, 5706, 1006, 15514, 5405, 1009, 16200, 1149, 1005, 1124, 5629, 1009, 3597, 3315, 2636, 1049, 18837, 7731, 15391, 6151, 1422, 3949, 1910, 3821, 28995, 2314, 17604, 22096, 9446, 31130, 1049, 7751, 6836, 1187, 25492, 6299, 1009, 22096, 9745, 2088, 15081, 15445, 1058, 2962, 1412, 1072, 1908, 4666, 24902, 7766, 9861, 23020, 1371, 1048, 1101, 2944, 1910, 10385, 17341, 3586, 7112, 1435, 1114, 6442, 1049, 13759, 7766, 7218, 1989, 2285, 1298, 1261, 3412, 1188, 1068, 1039, 1407, 1361, 31511, 8144, 2752, 9213, 1182, 91, 2314, 17604, 22096, 9446, 1068, 1006, 6442, 1049, 13759, 8144, 1187, 3948, 1184, 1294, 90, 1828, 77, 1391, 1060, 4668, 1327, 8903, 1114, 2706, 4114, 1159, 9445, 10243, 93, 1018, 1406, 1118, 3865, 1060, 7565, 2020, 10243, 23335, 2020, 1281, 1098, 14926, 1085, 8529, 1715, 10224, 1048, 1857, 16944, 3754, 1213, 22991, 1439, 1569, 10034, 1114, 5530, 3854, 1732, 2275, 11591, 1318, 1114, 6442, 1049, 2709, 1094, 4668, 22096, 8479, 19716, 1009, 3116, 14127, 14775, 18289, 6683, 1060, 9114, 1060, 5644, 2469, 1847, 1751, 18622, 1230, 1566, 1009, 2750, 6697, 1658, 2779, 1634, 2860, 4064, 1233, 6442, 1049, 2709, 1159, 6709, 27942, 1068, 4524, 1463, 6912, 1394, 1009, 13040, 1054, 7490, 1072, 1852, 1049, 3009, 7745, 1005, 2738, 1049, 3009, 31651, 5126, 12990, 1009, 2625, 5314, 1049, 1681, 1331, 21037, 1634, 7068, 1289, 1648, 20263, 2625, 1005, 1558, 2241, 11547, 9450, 1728, 2858, 11166, 17852, 1047, 1365, 1634, 6436, 1005, 2752, 29096, 14990, 1085, 1379, 1054, 21795, 1114, 1641, 1009, 1119, 8049, 11095, 11591, 1318, 1044, 2417, 10745, 1009, 3821, 28995, 2314, 21044, 28174, 1009, 18520, 1910, 1783, 15, 1005, 3745, 1095, 10958, 1907, 28174, 1009, 25579, 1910, 1783, 1565, 1482, 7624, 1026, 8676, 5995, 1009, 1073, 1829, 1486, 22378, 1048, 1132, 3821, 28995, 2314, 21044, 1048, 9686, 1213, 1908, 1996, 1009, 9339, 1929, 1648, 1178, 1494, 6104, 8444, 1159, 10095, 79, 13323, 2800, 3435, 2429, 23246, 2916, 1009, 14219, 1006, 19166, 1910, 1187, 10385, 20589, 2682, 21044, 1048, 9686, 1996, 1009, 9339, 7100, 1048, 5759, 1009, 1307, 11, 1006, 22573, 1049, 3225, 1060, 2779, 17930, 1072, 1908, 1349, 2177, 4310, 1009, 1058, 19937, 1009, 5629, 1009, 14471, 26042, 1049, 2671, 1113, 1156, 2715, 3036, 4395, 6442, 1049, 2709, 1225, 18869, 11547, 7878, 32, 10447, 1948, 1870, 15088, 1028, 20182, 1045, 1324, 1015, 1018, 1252, 1137, 1049, 20335, 1015, 1018, 1252, 1137, 1049, 19977, 22861, 1270, 1803, 1030, 27919, 5221, 1030, 1617, 14518, 27623, 2311, 1932, 71, 1005, 2752, 1075, 8668, 1482, 2285, 1009, 11547, 16095, 4065, 1026, 1908, 1096, 1026, 3078, 3478, 1657, 5626, 1060, 21904, 1005, 1060, 29456, 6836, 1009, 2252, 1124, 11547, 4207, 23187, 3879, 2565, 2350, 11547, 1327, 1558, 1312, 1184, 1049, 1048, 23757, 1551, 2303, 1043, 1026, 24691, 2769, 1009, 11057, 1124, 2125, 11547, 1184, 1558, 1312, 1054, 2573, 1327, 1026, 2752, 24022, 8387, 2394, 15795, 1349, 1026, 2311, 1932, 71, 2149, 2525, 28, 9395, 1005, 1026, 10447, 1948, 1014, 2149, 2394, 13201, 1565, 2656, 9669, 1526, 1026, 3124, 1009, 1048, 1026, 4431, 1096, 15167, 1159, 1006, 4397, 1049, 6545, 1005, 1060, 22518, 1847, 1558, 1140, 1054, 2573, 1118, 1657, 10459, 14441, 1187, 3821, 28995, 2314, 1054, 11057, 1094, 13403, 1416, 1620, 4863, 1049, 1048, 1054, 8163, 1071, 2414, 28, 9395, 1879, 1908, 1318, 17863, 5878, 1734, 15916, 1160, 7878, 32, 23626, 1165, 26250, 1953, 78, 93, 1324, 14637, 1171, 3022, 6927, 1126, 1028, 20182, 1731, 1049, 20335, 9222, 6905, 1803, 4408, 1005, 1006, 4397, 10149, 2006, 3821, 28995, 9549, 14327, 11547, 1160, 7878, 1693, 1178, 8728, 1054, 2111, 1394, 7878, 1054, 3905, 12189, 3273, 1571, 1195, 7620, 1048, 3592, 11547, 1327, 14190, 13104, 1776, 2268, 1569, 14164, 1160, 1327, 3927, 3628, 3056, 1068, 3866, 7142, 1026, 7970, 3267, 3242, 14869, 1271, 11547, 11886, 7878, 8, 1187, 11872, 4408, 1005, 1953, 1137, 2145, 1137, 79, 6515, 12317, 6837, 13631, 1048, 1058, 12352, 1040, 1054, 4188, 1213, 3184, 1060, 15270, 4287, 1034, 1005, 1009, 7974, 27919, 5221, 2247, 1009, 1734, 5679, 4846, 10497, 7912, 1229, 1048, 1327, 1094, 2779, 27065, 31650, 1009, 1734, 10447, 9628, 1225, 1224, 3486, 8564, 6932, 1043, 2068, 1054, 1569, 18463, 1009, 15833, 1544, 19, 1399, 1095, 1888, 20, 5126, 2643, 2281, 25042, 1314, 2585, 1054, 1807, 31801, 1005, 2739, 1271, 1569, 11547, 1826, 1054, 11607, 1009, 18293, 3242, 10781, 3821, 28995, 2314, 17604, 1318, 16381, 2089, 11547, 15004, 17806, 5494, 1159, 4894, 4593, 1029, 1069, 1318, 1118, 26785, 2314, 1005, 3073, 12682, 1031, 2314, 15347, 1349, 7719, 1005, 11394, 1100, 3702, 2088, 16297, 6602, 1005, 1634, 6436, 1114, 6442, 1049, 2709, 16381, 11547, 16297, 17599, 1159, 1026, 1030, 1877, 7117, 1172, 1917, 1803, 2025, 96, 1153, 5920, 3764, 1297, 1005, 2809, 91, 15904, 1138, 5976, 1096, 1620, 1558, 1140, 2309, 16815, 3821, 28995, 9628, 4807, 1054, 6453, 1159, 1006, 1134, 6572, 1358, 1137, 75, 4041, 1571, 4548, 2653, 3821, 28995, 2314, 1009, 4599, 6814, 1113, 20190, 2222, 17183, 21275, 2214, 1391, 1537, 5284, 1094, 3780, 1068, 1026, 3041, 6911, 10536, 22, 6576, 1196, 1357, 10870, 1271, 9103, 1431, 5006, 1006, 6442, 1049, 2709, 1195, 20227, 1054, 2277, 2269, 1054, 29453, 1005, 1054, 1831, 1068, 27423, 2184, 1005, 15703, 1209, 1200, 6043, 1377, 2034, 16647, 7878, 9610, 1048, 15870, 1783, 1327, 8439, 1312, 1664, 1132, 2250, 1114, 6442, 1049, 13759, 1138, 2285, 23630, 1009, 15703, 1209, 1118, 1901, 1096, 1009, 11923, 0, 2621, 1005, 23020, 1371, 1048, 1039, 1407, 1361, 1910, 15703, 1209, 1327, 9518, 1402, 17354, 1072, 7751, 1138, 3225, 1009, 10522, 1200, 29066, 1096, 1026, 1782, 0, 1365, 1132, 9572, 1893, 3825, 1072, 3957, 1009, 1858, 1879, 30440, 1096, 1044, 2863, 3707, 1114, 6442, 1049, 13759, 1482, 1094, 3780, 1009, 7905, 1044, 1054, 1752, 2848, 4031, 3821, 28995, 2314, 9838, 2644, 1261, 15703, 1905, 4327, 20, 3316, 1054, 1752, 2125, 1271, 2848, 1910, 3680, 12246, 1130, 1580, 1357, 13804, 1060, 7527, 2094, 3619, 1139, 3155, 1005, 5180, 15925, 1973, 1048, 2257, 2281, 3746, 1140, 1072, 1901, 16326, 1063, 6442, 1049, 2709, 1225, 1094, 1271, 4029, 1455, 1038, 1758, 1009, 15703, 1209, 1009, 3978, 1005, 23400, 1072, 7118, 1482, 1044, 15693, 4949, 1365, 28114, 3978, 25791, 1072, 1030, 2456, 1269, 19656, 1009, 1067, 2456, 17054, 1044, 5512, 1009, 1664, 1132, 19762, 14828, 1166, 10680, 1048, 16155, 1965, 5727, 1253, 1406, 1044, 5497, 1068, 30440, 1054, 12069, 1516, 2637, 20442, 1658, 3161, 4612, 1049, 1908, 3902, 3227, 1054, 30468, 13749, 4435, 3983, 12010, 22096, 7691, 1060, 6442, 1049, 2709, 1318, 18543, 1048, 1026, 8241, 1195, 1044, 1807, 7697, 1348, 1068, 1857, 1710, 29408, 1049, 7751, 1138, 8241, 1717, 1006, 4668, 19675, 5898, 1006, 1178, 1044, 1807, 10999, 12548, 2863, 3729, 1069, 1356, 1908, 1096, 1006, 3838, 24257, 2952, 1005, 9482, 33, 1124, 4761, 3821, 28995, 5817, 22173, 5072, 20647, 17374, 12708, 1005, 1084, 81, 1189, 78, 1075, 26342, 1596, 6162, 1312, 1159, 1124, 1184, 14088, 1102, 1049, 5108, 2277, 6840, 1060, 13920, 14547, 1054, 3837, 1113, 5731, 1005, 3568, 4395, 6442, 1049, 2709, 1225, 2125, 23362, 32, 7022, 1049, 4986, 1100, 1006, 1712, 1271, 2125, 18, 1096, 1006, 3861, 5612, 2636, 33, 1073, 1829, 1486, 1096, 1006, 3861, 7324, 1005, 9631, 1040, 76, 2675, 1021, 1096, 1006, 3861, 7058, 1031, 10164, 20, 6442, 1049, 2709, 1225, 1044, 22784, 8710, 1046, 1669, 32, 1026, 5019, 2769, 1009, 8991, 15357, 3995, 3637, 3596, 1349, 1225, 1335, 1893, 28949, 2097, 1006, 7972, 2769, 3995, 3637, 6167, 15, 1225, 2848, 73, 1361, 3948, 5044, 3948, 1060, 4338, 1187, 17633, 1327, 15956, 3552, 2068, 9909, 1118, 10068, 22637, 32, 6746, 1187, 3948, 1327, 15956, 1118, 14883, 7441, 1005, 1006, 2924, 6746, 1327, 15956, 1054, 14883, 24224, 23489, 7900, 3948, 1327, 15956, 1068, 11042, 1752, 5704, 1072, 5019, 2769, 1271, 8991, 15357, 18, 12027, 1060, 2779, 1060, 5704, 20, 2231, 9858, 1068, 9389, 1124, 31507, 1327, 8364, 1006, 1752, 3251, 4844, 1138, 2671, 1096, 9110, 1114, 2573, 1184, 27923, 1005, 1026, 5548, 1049, 6387, 1712, 6434, 1114, 7972, 2769, 1096, 1026, 2670, 21254, 1026, 2822, 1049, 8292, 1208, 1038, 1054, 15391, 1006, 3568, 3821, 28995, 1685, 1225, 2281, 6097, 1069, 1356, 7026, 2769, 14002, 1577, 1071, 26626, 1349, 1048, 1195, 1026, 6387, 6097, 4289, 1043, 5251, 19, 4700, 11, 1187, 4427, 1554, 1138, 2751, 17882, 1049, 2671, 1049, 7680, 41, 1096, 1026, 6387, 1060, 21520, 7945, 4342, 1961, 1048, 3661, 18068, 14441, 1187, 7533, 1114, 8151, 1009, 4152, 1005, 15340, 16785, 1463, 6283, 1009, 4238, 1879, 6387, 8830, 6097, 4289, 1026, 6969, 5428, 14845, 1048, 24950, 1026, 8292, 1208, 1038, 2328, 1049, 1235, 10741, 1813, 2212, 1026, 5428, 14845, 24191, 1118, 1058, 2225, 1130, 1043, 1026, 7680, 6540, 1054, 1844, 1009, 3149, 1009, 17451, 12548, 1807, 6387, 5098, 17960, 1072, 13740, 1096, 1026, 15982, 1544, 1357, 20574, 12104, 1961, 1048, 1195, 5447, 1054, 4119, 1005, 4857, 8856, 19599, 1187, 7533, 1054, 4152, 21254, 10131, 1026, 1908, 2569, 2653, 8471, 1009, 16131, 30765, 2088, 3746, 10245, 5700, 10188, 1009, 2303, 1043, 1044, 8169, 2274, 1026, 1150, 2002, 1513, 1184, 13110, 1054, 20067, 1072, 1784, 2100, 1482, 7624, 1006, 6442, 1049, 2709, 1195, 20227, 1114, 1487, 0, 1365, 9417, 3825, 1060, 6442, 1681, 1352, 1024, 2860, 1356, 21197, 1156, 4050, 30350, 1009, 4549, 2648, 14002, 9549, 1063, 6442, 1049, 2709, 2569, 8811, 3770, 1463, 8862, 1009, 2956, 1009, 3344, 2784, 5180, 15925, 1005, 3258, 8014, 1005, 12711, 1112, 1005, 11837, 6268, 9628, 1309, 7035, 3328, 1356, 1235, 4818, 9900, 10092, 1054, 4300, 1005, 8084, 20, 1138, 21197, 1156, 4050, 30350, 1096, 1094, 4375, 7933, 1009, 30390, 10447, 5221, 1043, 2068, 1054, 1094, 2700, 1009, 8845, 1048, 29890, 1026, 3189, 1043, 1048, 1132, 12685, 9656, 1046, 8738, 7769, 10956, 1679, 1456, 10385, 1113, 6782, 25016, 3145, 6768, 1009, 3282, 3821, 28995, 5817, 1327, 1026, 3282, 2410, 5929, 15678, 11566, 1078, 1330, 1438, 1005, 1026, 3282, 4987, 6934, 1072, 3282, 3707, 15088, 1159, 1124, 1966, 1161, 1009, 12289, 2147, 24484, 1005, 1049, 18443 ]

[ 28, 1232, 675, 1232, 2224, 8662, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3413, 29, 4194, 31264, 3413, 29, 1232, 675, 1232, 2224, 8662, 4187, 1232, 15481, 11807, 7598, 1019, 72, 1139, 1232, 10100, 1106, 3123, 1045, 1232, 1711, 1232, 2108, 3413, 30, 3914, 31264, 3413, 30, 1232, 675, 1232, 2322, 8662, 4187, 1232, 12887, 7790, 93, 1444, 90, 1232, 10100, 1123, 2401, 1232, 1711, 1232, 2108, 3413, 31, 3740, 31264, 3413, 31, 1232, 675, 1232, 1844, 8662, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1084, 1010, 1232, 2108, 3876, 22, 3740, 31264, 3876, 22, 15934, 2703, 1232, 675, 1232, 4984, 8662, 4187, 1232, 15556, 1253, 11608, 1232, 11086, 29580, 18, 14538, 1067, 5415, 2150, 96, 10709, 1232, 1711, 1232, 2108, 3876, 23, 4194, 31264, 3876, 23, 1232, 675, 1232, 3295, 8662, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3876, 24, 3740, 31264, 3876, 24, 1232, 675, 1232, 1083, 2279, 4187, 1232, 1542, 81, 13191, 1232, 12167, 15046, 1232, 1711, 1232, 2108, 3876, 25, 4194, 31264, 3876, 25, 1232, 675, 1232, 1307, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3876, 26, 3914, 31264, 3876, 26, 1232, 675, 1232, 1675, 2279, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 1711, 1232, 2108, 3876, 27, 3914, 31264, 3876, 27, 1232, 675, 1232, 1675, 2279, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 30378, 1232, 2108, 3876, 28, 3740, 31264, 3876, 28, 1232, 675, 1232, 1422, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3876, 29, 4194, 31264, 3876, 29, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3876, 30, 3740, 31264, 3876, 30, 1232, 675, 1232, 1307, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3876, 31, 3914, 31264, 3876, 31, 1232, 675, 1232, 1422, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3851, 22, 3914, 31264, 3851, 22, 1232, 675, 1232, 1844, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3851, 23, 4194, 31264, 3851, 23, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 24, 4194, 31264, 3851, 24, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 25, 3914, 31264, 3851, 25, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3851, 26, 4194, 31264, 3851, 26, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3851, 27, 4194, 31264, 3851, 27, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 28, 30618, 5881, 30871, 31264, 3851, 28, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 29, 3740, 31264, 3851, 29, 1232, 675, 1232, 2475, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 30, 3914, 31264, 3851, 30, 1232, 675, 1232, 2475, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3851, 31, 4194, 31264, 3851, 31, 1232, 675, 1232, 2224, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 24, 3663, 3914, 31264, 24, 3663, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3989, 23, 3740, 31264, 3989, 23, 1232, 675, 1232, 2475, 2279, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53, 1232, 1711, 1232, 2108, 3989, 24, 4194, 31264, 3989, 24, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3989, 25, 4194, 31264, 3989, 25, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 25611, 1814, 1232, 2108, 3989, 26, 3914, 31264, 3989, 26, 1232, 675, 1232, 2224, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3989, 27, 3740, 31264, 3989, 27, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3989, 28, 2076, 4325, 44, 24, 6281, 1433, 31264, 3989, 28, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1205, 1780, 1232, 2108, 3989, 29, 3740, 31264, 3989, 29, 1232, 675, 1232, 2475, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 2735, 1040, 1020, 1232, 2108, 3989, 30, 3740, 31264, 3989, 30, 1232, 675, 1232, 2224, 2279, 4187, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 3989, 31, 3740, 31264, 3989, 31, 1232, 675, 1232, 2128, 1286, 5238, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4059, 22, 4194, 31264, 4059, 22, 1232, 675, 1232, 1844, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4059, 23, 3914, 31264, 4059, 23, 1232, 675, 1232, 2523, 2279, 4187, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4059, 24, 3740, 31264, 4059, 24, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4059, 25, 3914, 31264, 4059, 25, 1232, 675, 1232, 1422, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4059, 26, 3740, 31264, 4059, 26, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4059, 27, 3914, 31264, 4059, 27, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4059, 28, 4194, 31264, 4059, 28, 1232, 675, 1232, 2224, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4059, 29, 3914, 31264, 4059, 29, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4059, 30, 3914, 31264, 4059, 30, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 24, 3990, 3914, 31264, 24, 3990, 1232, 675, 1232, 1984, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 1254, 3740, 31264, 18242, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2003, 5340, 25, 1404, 2721, 24958, 25, 1404, 17936, 21995, 5594, 2056, 3887, 31264, 2721, 23, 1232, 675, 1232, 1984, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 2721, 24, 2076, 4325, 44, 24, 6281, 1433, 31264, 2721, 24, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1205, 1780, 1232, 2108, 2721, 25, 4194, 31264, 2721, 25, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 2721, 26, 4194, 31264, 2721, 26, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 2721, 27, 3740, 31264, 2721, 27, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 2721, 28, 3914, 31264, 2721, 28, 1232, 675, 1232, 2182, 2279, 4187, 1232, 1142, 1075, 1021, 13078, 4196, 95, 1232, 1142, 59, 3920, 1232, 1711, 1232, 2108, 2721, 29, 3740, 31264, 2721, 29, 1232, 675, 1232, 2182, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 2721, 30, 3914, 31264, 2721, 30, 1232, 675, 1232, 1158, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 2721, 31, 4194, 31264, 2721, 31, 1232, 675, 1232, 1578, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 22079, 1232, 16300, 1839, 3914, 31264, 25, 1839, 1232, 675, 1232, 2971, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 2830, 3740, 31264, 25, 2830, 1232, 4187, 1128, 58, 1232, 1307, 1286, 4187, 1232, 1779, 18242, 13078, 4196, 95, 1232, 10100, 14538, 1941, 20, 17652, 4000, 1232, 1711, 1232, 16300, 2944, 3914, 31264, 25, 2944, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 3612, 4194, 31264, 25, 3612, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3502, 3914, 31264, 25, 3502, 1232, 675, 1232, 1779, 1286, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 1711, 1232, 16300, 3452, 3914, 31264, 25, 3452, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 30378, 1232, 16300, 3487, 3914, 31264, 25, 3487, 1232, 675, 1232, 1799, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3665, 3914, 31264, 25, 3665, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3430, 3914, 31264, 25, 3430, 1232, 675, 1232, 1779, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 16300, 1442, 3914, 31264, 25, 1442, 1232, 675, 1232, 1782, 1286, 4187, 1232, 27454, 7465, 1232, 9002, 2320, 1253, 1056, 1232, 1711, 1232, 16300, 1404, 3914, 31264, 25, 1404, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 2337, 3914, 31264, 25, 2337, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 2708, 3740, 31264, 25, 2708, 1232, 675, 1232, 1487, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3459, 3740, 31264, 25, 3459, 1232, 675, 1232, 1422, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 16300, 3531, 3914, 31264, 25, 3531, 1232, 675, 1232, 1779, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 16300, 3413, 3740, 31264, 25, 3413, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3876, 3914, 31264, 25, 3876, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3851, 4194, 31264, 25, 3851, 1232, 675, 1232, 1779, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 3989, 3914, 31264, 25, 3989, 1232, 675, 1232, 1779, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 4059, 3914, 31264, 25, 4059, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 2721, 3914, 31264, 25, 2721, 1232, 675, 1232, 1487, 1286, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53, 1232, 1711, 1232, 2108, 4406, 23, 3914, 31264, 4406, 23, 1232, 675, 1232, 1779, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4406, 24, 3914, 31264, 4406, 24, 1232, 675, 1232, 1799, 1286, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53, 1232, 1711, 1232, 2108, 4406, 25, 4194, 31264, 4406, 25, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 26, 3740, 31264, 4406, 26, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 27, 3914, 31264, 4406, 27, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 28, 4194, 31264, 4406, 28, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 29, 4194, 31264, 4406, 29, 1232, 675, 1232, 1779, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4406, 30, 3914, 31264, 4406, 30, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 31, 3914, 31264, 4406, 31, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3949, 3914, 31264, 25, 3949, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 23, 4194, 31264, 4990, 23, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 24, 3914, 31264, 4990, 24, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 25, 3914, 31264, 4990, 25, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 26, 3914, 31264, 4990, 26, 1232, 675, 1232, 2224, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 4368, 3914, 31264, 25, 4368, 1232, 675, 1232, 2224, 1286, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 1711, 1232, 2108, 4990, 28, 3740, 31264, 4990, 28, 1232, 675, 1232, 1799, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4990, 29, 3914, 31264, 4990, 29, 1232, 675, 1232, 2475, 1286, 4187, 1232, 1142, 1075, 1021, 13078, 4196, 95, 1232, 4223, 20, 19, 14370, 17652, 1232, 1711, 1232, 2108, 4990, 30, 3914, 31264, 4990, 30, 1232, 675, 1232, 1844, 1286, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 28, 1232, 675, 1232, 2224, 8662, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3413, 29, 4194, 31264, 3413, 29, 1232, 675, 1232, 2224, 8662, 4187, 1232, 15481, 11807, 7598, 1019, 72, 1139, 1232, 10100, 1106, 3123, 1045, 1232, 1711, 1232, 2108, 3413, 30, 3914, 31264, 3413, 30, 1232, 675, 1232, 2322, 8662, 4187, 1232, 12887, 7790, 93, 1444, 90, 1232, 10100, 1123, 2401, 1232, 1711, 1232, 2108, 3413, 31, 3740, 31264, 3413, 31, 1232, 675, 1232, 1844, 8662, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1084, 1010, 1232, 2108, 3876, 22, 3740, 31264, 3876, 22, 15934, 2703, 1232, 675, 1232, 4984, 8662, 4187, 1232, 15556, 1253, 11608, 1232, 11086, 29580, 18, 14538, 1067, 5415, 2150, 96, 10709, 1232, 1711, 1232, 2108, 3876, 23, 4194, 31264, 3876, 23, 1232, 675, 1232, 3295, 8662, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3876, 24, 3740, 31264, 3876, 24, 1232, 675, 1232, 1083, 2279, 4187, 1232, 1542, 81, 13191, 1232, 12167, 15046, 1232, 1711, 1232, 2108, 3876, 25, 4194, 31264, 3876, 25, 1232, 675, 1232, 1307, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3876, 26, 3914, 31264, 3876, 26, 1232, 675, 1232, 1675, 2279, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 1711, 1232, 2108, 3876, 27, 3914, 31264, 3876, 27, 1232, 675, 1232, 1675, 2279, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 30378, 1232, 2108, 3876, 28, 3740, 31264, 3876, 28, 1232, 675, 1232, 1422, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3876, 29, 4194, 31264, 3876, 29, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3876, 30, 3740, 31264, 3876, 30, 1232, 675, 1232, 1307, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3876, 31, 3914, 31264, 3876, 31, 1232, 675, 1232, 1422, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3851, 22, 3914, 31264, 3851, 22, 1232, 675, 1232, 1844, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3851, 23, 4194, 31264, 3851, 23, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 24, 4194, 31264, 3851, 24, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 25, 3914, 31264, 3851, 25, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3851, 26, 4194, 31264, 3851, 26, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3851, 27, 4194, 31264, 3851, 27, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 28, 30618, 5881, 30871, 31264, 3851, 28, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 29, 3740, 31264, 3851, 29, 1232, 675, 1232, 2475, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3851, 30, 3914, 31264, 3851, 30, 1232, 675, 1232, 2475, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3851, 31, 4194, 31264, 3851, 31, 1232, 675, 1232, 2224, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 24, 3663, 3914, 31264, 24, 3663, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 3989, 23, 3740, 31264, 3989, 23, 1232, 675, 1232, 2475, 2279, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53, 1232, 1711, 1232, 2108, 3989, 24, 4194, 31264, 3989, 24, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 3989, 25, 4194, 31264, 3989, 25, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 25611, 1814, 1232, 2108, 3989, 26, 3914, 31264, 3989, 26, 1232, 675, 1232, 2224, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 3989, 27, 3740, 31264, 3989, 27, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 3989, 28, 2076, 4325, 44, 24, 6281, 1433, 31264, 3989, 28, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1205, 1780, 1232, 2108, 3989, 29, 3740, 31264, 3989, 29, 1232, 675, 1232, 2475, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 2735, 1040, 1020, 1232, 2108, 3989, 30, 3740, 31264, 3989, 30, 1232, 675, 1232, 2224, 2279, 4187, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 3989, 31, 3740, 31264, 3989, 31, 1232, 675, 1232, 2128, 1286, 5238, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4059, 22, 4194, 31264, 4059, 22, 1232, 675, 1232, 1844, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4059, 23, 3914, 31264, 4059, 23, 1232, 675, 1232, 2523, 2279, 4187, 1232, 9646, 10763, 1232, 14480, 1232, 1711, 1232, 2108, 4059, 24, 3740, 31264, 4059, 24, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4059, 25, 3914, 31264, 4059, 25, 1232, 675, 1232, 1422, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4059, 26, 3740, 31264, 4059, 26, 1232, 675, 1232, 1782, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4059, 27, 3914, 31264, 4059, 27, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4059, 28, 4194, 31264, 4059, 28, 1232, 675, 1232, 2224, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4059, 29, 3914, 31264, 4059, 29, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4059, 30, 3914, 31264, 4059, 30, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 24, 3990, 3914, 31264, 24, 3990, 1232, 675, 1232, 1984, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 1254, 3740, 31264, 18242, 1232, 675, 1232, 2322, 2279, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2003, 5340, 25, 1404, 2721, 24958, 25, 1404, 17936, 21995, 5594, 2056, 3887, 31264, 2721, 23, 1232, 675, 1232, 1984, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 2721, 24, 2076, 4325, 44, 24, 6281, 1433, 31264, 2721, 24, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1205, 1780, 1232, 2108, 2721, 25, 4194, 31264, 2721, 25, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 2721, 26, 4194, 31264, 2721, 26, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 2721, 27, 3740, 31264, 2721, 27, 1232, 675, 1232, 2523, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 2721, 28, 3914, 31264, 2721, 28, 1232, 675, 1232, 2182, 2279, 4187, 1232, 1142, 1075, 1021, 13078, 4196, 95, 1232, 1142, 59, 3920, 1232, 1711, 1232, 2108, 2721, 29, 3740, 31264, 2721, 29, 1232, 675, 1232, 2182, 2279, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 2721, 30, 3914, 31264, 2721, 30, 1232, 675, 1232, 1158, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 2721, 31, 4194, 31264, 2721, 31, 1232, 675, 1232, 1578, 2279, 4187, 1232, 11868, 1232, 7305, 1232, 22079, 1232, 16300, 1839, 3914, 31264, 25, 1839, 1232, 675, 1232, 2971, 2279, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 2830, 3740, 31264, 25, 2830, 1232, 4187, 1128, 58, 1232, 1307, 1286, 4187, 1232, 1779, 18242, 13078, 4196, 95, 1232, 10100, 14538, 1941, 20, 17652, 4000, 1232, 1711, 1232, 16300, 2944, 3914, 31264, 25, 2944, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 3612, 4194, 31264, 25, 3612, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3502, 3914, 31264, 25, 3502, 1232, 675, 1232, 1779, 1286, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 1711, 1232, 16300, 3452, 3914, 31264, 25, 3452, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 30378, 1232, 16300, 3487, 3914, 31264, 25, 3487, 1232, 675, 1232, 1799, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3665, 3914, 31264, 25, 3665, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3430, 3914, 31264, 25, 3430, 1232, 675, 1232, 1779, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 16300, 1442, 3914, 31264, 25, 1442, 1232, 675, 1232, 1782, 1286, 4187, 1232, 27454, 7465, 1232, 9002, 2320, 1253, 1056, 1232, 1711, 1232, 16300, 1404, 3914, 31264, 25, 1404, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 2337, 3914, 31264, 25, 2337, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 2708, 3740, 31264, 25, 2708, 1232, 675, 1232, 1487, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3459, 3740, 31264, 25, 3459, 1232, 675, 1232, 1422, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 16300, 3531, 3914, 31264, 25, 3531, 1232, 675, 1232, 1779, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 16300, 3413, 3740, 31264, 25, 3413, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3876, 3914, 31264, 25, 3876, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 3851, 4194, 31264, 25, 3851, 1232, 675, 1232, 1779, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 3989, 3914, 31264, 25, 3989, 1232, 675, 1232, 1779, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 16300, 4059, 3914, 31264, 25, 4059, 1232, 675, 1232, 1422, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 16300, 2721, 3914, 31264, 25, 2721, 1232, 675, 1232, 1487, 1286, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53, 1232, 1711, 1232, 2108, 4406, 23, 3914, 31264, 4406, 23, 1232, 675, 1232, 1779, 1286, 4187, 1232, 11868, 1232, 7305, 1232, 1711, 1232, 2108, 4406, 24, 3914, 31264, 4406, 24, 1232, 675, 1232, 1799, 1286, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53, 1232, 1711, 1232, 2108, 4406, 25, 4194, 31264, 4406, 25, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 26, 3740, 31264, 4406, 26, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 27, 3914, 31264, 4406, 27, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 28, 4194, 31264, 4406, 28, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 29, 4194, 31264, 4406, 29, 1232, 675, 1232, 1779, 1286, 4187, 1232, 4423, 4780, 1232, 4423, 4780, 7250, 1232, 1711, 1232, 2108, 4406, 30, 3914, 31264, 4406, 30, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4406, 31, 3914, 31264, 4406, 31, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 3949, 3914, 31264, 25, 3949, 1232, 675, 1232, 1675, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 23, 4194, 31264, 4990, 23, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 24, 3914, 31264, 4990, 24, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 25, 3914, 31264, 4990, 25, 1232, 675, 1232, 1844, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 2108, 4990, 26, 3914, 31264, 4990, 26, 1232, 675, 1232, 2224, 1286, 4187, 1232, 4036, 1232, 4102, 1232, 1711, 1232, 16300, 4368, 3914, 31264, 25, 4368, 1232, 675, 1232, 2224, 1286, 4187, 1232, 5113, 1529, 1056, 1232, 4006, 1148, 4273, 10990, 15236, 31922, 1232, 1711, 1232, 2108, 4990, 28, 3740, 31264, 4990, 28, 1232, 675, 1232, 1799, 1286, 4187, 1232, 4117, 4157, 1232, 4222, 1232, 1711, 1232, 2108, 4990, 29, 3914, 31264, 4990, 29, 1232, 675, 1232, 2475, 1286, 4187, 1232, 1142, 1075, 1021, 13078, 4196, 95, 1232, 4223, 20, 19, 14370, 17652, 1232, 1711, 1232, 2108, 4990, 30, 3914, 31264, 4990, 30, 1232, 675, 1232, 1844, 1286, 4187, 1232, 24489, 6055, 28510, 1232, 7727, 53, 7921, 53 ]

[ 1124, 6535, 5066, 15115, 1766, 5891, 1693, 1178, 3447, 1166, 1072, 2788, 1049, 2343, 2162, 17627, 2156, 5715, 1009, 5556, 9999, 1312, 1213, 2343, 2162, 20, 1063, 1184, 3707, 1096, 1006, 11906, 1009, 12689, 1054, 2538, 23236, 2663, 53, 26446, 1048, 1096, 1094, 20205, 17046, 8863, 2309, 11130, 26185, 1118, 3940, 1006, 19844, 2266, 1213, 9295, 1927, 1048, 1044, 4174, 1381, 19820, 1054, 3453, 5595, 4109, 2824, 3886, 31511, 1063, 2924, 1096, 1006, 11906, 1009, 12689, 12269, 1292, 1497, 2663, 2428, 1349, 9999, 1140, 1511, 1132, 10336, 11130, 26185, 3675, 1040, 1054, 12388, 1009, 1456, 4209, 29612, 1009, 18665, 1009, 15068, 10591, 1009, 8359, 1876, 1206, 1009, 8241, 12194, 1005, 2089, 3638, 25212, 1907, 5613, 1783, 1005, 1132, 11130, 26185, 1006, 15521, 1026, 2343, 2162, 1322, 5906, 1394, 13432, 1327, 25251, 1118, 9443, 1170, 1009, 26760, 8761, 16006, 3098, 6657, 5066, 1229, 7995, 2044, 1014, 4065, 2768, 10971, 1678, 24535, 4525, 3967, 1544, 1009, 3159, 1009, 20293, 1005, 17870, 1411, 10545, 1014, 4065, 24052, 1273, 26723, 1365, 9918, 11341, 2271, 7434, 1132, 3525, 3737, 1058, 9751, 4633, 1009, 2266, 1049, 9295, 1118, 3722, 1049, 8991, 1337, 20799, 9521, 1049, 5019, 2769, 1009, 21009, 1048, 5543, 1054, 11767, 1054, 3403, 1009, 3209, 23498, 6021, 1026, 7423, 1009, 19953, 1009, 6444, 31088, 17422, 1379, 20, 1482, 6813, 1026, 2343, 2162, 3661, 1422, 3989, 1910, 19953, 1009, 6444, 5909, 21199, 1482, 7267, 1596, 1307, 6259, 31511, 5011, 1054, 7434, 1043, 1006, 5086, 1272, 1060, 8263, 1049, 8123, 48, 1048, 1058, 2283, 7709, 1679, 3525, 13300, 1026, 2285, 1009, 25690, 1963, 3506, 1068, 3646, 26, 1025, 1509, 3320, 11341, 1054, 8936, 4064, 1006, 4662, 25, 22438, 5311, 3225, 1049, 1901, 7755, 3646, 28, 9557, 1327, 19953, 6626, 2309, 3525, 3737, 4441, 5891, 4970, 1046, 2350, 5729, 20, 9317, 2972, 1010, 2643, 10741, 3951, 1055, 1118, 16392, 1043, 3525, 3737, 1511, 1064, 2241, 3453, 1206, 1132, 3525, 3737, 1826, 21035, 2266, 1054, 12995, 1068, 1026, 2343, 2162, 37, 11772, 1132, 9511, 3960, 1251, 18467, 11859, 3903, 1072, 7423, 1009, 2266, 24294, 1213, 9295, 37, 6126, 1094, 5034, 4741, 1014, 5289, 1068, 1026, 12054, 5856, 2266, 37, 1138, 2343, 2162, 6787, 6180, 1043, 1989, 7423, 1009, 4734, 37, 2656, 1837, 9605, 2987, 1068, 1124, 2615, 1273, 1159, 1058, 14094, 1114, 5034, 1048, 9556, 20747, 1356, 1535, 48, 1189, 5036, 1049, 14316, 17627, 7880, 1098, 11478, 5636, 19126, 1072, 5239, 1009, 1048, 1026, 2033, 1337, 1049, 8123, 48, 2521, 1043, 1048, 1132, 3525, 13300, 1043, 3970, 1047, 1009, 4207, 8160, 1402, 1118, 3473, 10270, 1463, 19953, 18, 12524, 7965, 1006, 2511, 8263, 32, 2373, 5552, 17876, 2229, 2059, 1371, 7, 8226, 6062, 5144, 4140, 16708, 1160, 1096, 1026, 1048, 1058, 2540, 1187, 1215, 1018, 26185, 1006, 14126, 2711, 3803, 1482, 1456, 13344, 1009, 24021, 1026, 2343, 2162, 15027, 1048, 2252, 1124, 19953, 2373, 2587, 4508, 1312, 1054, 1094, 6621, 1049, 4461, 1271, 6444, 1005, 5314, 4048, 5006, 1009, 1871, 1006, 2997, 1969, 5423, 1005, 2283, 1275, 4159, 1233, 5110, 1005, 9167, 1990, 1271, 14980, 626, 6889, 1871, 3822, 11970, 2154, 1511, 1094, 5556, 7032, 1213, 2343, 2162, 18, 1687, 1096, 4637, 1140, 1054, 1094, 2068, 1009, 1858, 1571, 1096, 11916, 1236, 1006, 1094, 5034, 1980, 13199, 17125, 1711, 16915, 1044, 22242, 13284, 4734, 1043, 1026, 22412, 2123, 1295, 1009, 2266, 1049, 4235, 1009, 1858, 1049, 9295, 1009, 8600, 20, 11014, 19983, 1096, 3330, 1026, 1048, 1058, 8561, 2175, 1278, 1009, 1591, 1014, 1337, 3644, 24336, 1603, 1006, 5980, 18310, 1160, 4955, 3751, 1303, 8407, 1060, 1173, 1192, 13188, 6879, 2166, 1006, 5556, 1096, 1591, 1014, 5330, 7496, 4473, 10968, 1114, 2068, 1009, 1858, 1068, 24133, 2528, 1309, 1160, 6856, 1068, 1124, 6982, 4496, 1049, 2568, 1533, 2750, 6947, 1096, 8846, 1054, 1044, 2550, 6322, 6567, 1009, 6228, 1048, 4014, 71, 19953, 30555, 1068, 5034, 4849, 91, 1314, 2166, 2068, 8348, 1114, 13851, 1009, 1006, 5556, 22754, 11526, 3974, 1009, 4461, 20, 8384, 1846, 5816, 1096, 1048, 1006, 5556, 1298, 4305, 1006, 5034, 1009, 9017, 1049, 9295, 2170, 6021, 2535, 9545, 1009, 3124, 16770, 1105, 1758, 1114, 29060, 1096, 21970, 1026, 23963, 1009, 24529, 13824, 1239, 4228, 11326, 16075, 4758, 1049, 2285, 1009, 19953, 31088, 1058, 2521, 4877, 15400, 4072, 86, 1728, 1482, 7267, 1511, 1132, 3525, 3737, 1620, 1160, 2829, 26185, 1006, 7340, 2266, 1213, 2343, 2162, 18, 1596, 7457, 1402, 8856, 24, 1910, 1123, 11326, 1916, 1482, 7434, 1566, 1043, 1124, 19953, 1187, 3525, 13300, 1026, 2285, 1009, 1123, 11326, 89, 1195, 1009, 12540, 28, 31511, 11341, 1054, 8936, 1596, 7457, 1402, 12505, 27, 1910, 1123, 11326, 1916, 1063, 9168, 1009, 9556, 1096, 1058, 1160, 15691, 1847, 15627, 1288, 18310, 6444, 2464, 1853, 5365, 3273, 3572, 6802, 1657, 16770, 1105, 1758, 1009, 4734, 1533, 4884, 1009, 16412, 5615, 1009, 2073, 17876, 1048, 1054, 1044, 1831, 2803, 3012, 8616, 1963, 1088, 1930, 10920, 2088, 20135, 5153, 1026, 9495, 13751, 1291, 1005, 4868, 8026, 1344, 1412, 5647, 1917, 9541, 2373, 1117, 1160, 1837, 1006, 6621, 12908, 1009, 1752, 4087, 1572, 10837, 1233, 3357, 1009, 11278, 1969, 6875, 1026, 14810, 1048, 1234, 1213, 3525, 1939, 1663, 1044, 6262, 2073, 1298, 1058, 1650, 1930, 8863, 18, 16653, 1060, 4884, 1009, 18665, 1009, 3453, 626, 3482, 1093, 1292, 1497, 2464, 1068, 5806, 22371, 1305, 1006, 12908, 2068, 22455, 3587, 1511, 1058, 2265, 1026, 3124, 1009, 1048, 1026, 2343, 2162, 1298, 8748, 1124, 2266, 1048, 1327, 14707, 1043, 1132, 9134, 1009, 8274, 1005, 4832, 26995, 3724, 8409, 5219, 1566, 6303, 1026, 12684, 5995, 3517, 6889, 2303, 1043, 5647, 1917, 9541, 1006, 4380, 17731, 1006, 1178, 3729, 1140, 1096, 1026, 3124, 1009, 1044, 2123, 1295, 1009, 5870, 18833, 16653, 1006, 16700, 1177, 1009, 2073, 13339, 1572, 1013, 2528, 1026, 1048, 20040, 3997, 13636, 8990, 3500, 13751, 24056, 1138, 4868, 2265, 1963, 19191, 1006, 17688, 1009, 1132, 3525, 3737, 15027, 1656, 6444, 31088, 1213, 8123, 15720, 1309, 1160, 1009, 1871, 29118, 1610, 1021, 3567, 18227, 6942, 1233, 16200, 1149, 1160, 1298, 1178, 2232, 2961, 1069, 1043, 1026, 27151, 1009, 3997, 1005, 26493, 13636, 1187, 5693, 20246, 4807, 1511, 4548, 7320, 1009, 8236, 1132, 7841, 3770, 1305, 14961, 1169, 2099, 1133, 77, 11713, 1554, 626, 2555, 7039, 1009, 4884, 1605, 16200, 1291, 12396, 2002, 7260, 4934, 1106, 6792, 13305, 12678, 2392, 4756, 1049, 5054, 18665, 1009, 15068, 24507, 1665, 1791, 17100, 2522, 17586, 2106, 1048, 24514, 1989, 7663, 7423, 1009, 19953, 20, 29427, 1094, 23968, 11347, 3830, 8522, 20, 1482, 2277, 8248, 1006, 3971, 1009, 3513, 1049, 4898, 3750, 2270, 14232, 22741, 1060, 5556, 1009, 6444, 31088, 2309, 3525, 3737, 7917, 1009, 15266, 1791, 4844, 5311, 3311, 1009, 4350, 1060, 3513, 3559, 18589, 1096, 1493, 2574, 8410, 1063, 1795, 8673, 1060, 16928, 2058, 1140, 1233, 7160, 1009, 8582, 1365, 3187, 15403, 5305, 1005, 1026, 2343, 2162, 18, 10543, 5275, 150, 1132, 24001, 1005, 1006, 8509, 1096, 1006, 6937, 3960, 7423, 4324, 5649, 6383, 6792, 5581, 3245, 1040, 1280, 1048, 1044, 14316, 7155, 5140, 1043, 1026, 4898, 5066, 3335, 1511, 1124, 6535, 7949, 1006, 1178, 3750, 1312, 1006, 15521, 6444, 31088, 1206, 1173, 1912, 1392, 1213, 2343, 2162, 32, 2373, 46, 11525, 11347, 1100, 1026, 3266, 2343, 2162, 8669, 3205, 5810, 1044, 7228, 22272, 30636, 1132, 9559, 17097, 1412, 1456, 5061, 1009, 6621, 2170, 8067, 1026, 6980, 1096, 1493, 16015, 1776, 25518, 1096, 3888, 1048, 9545, 1702, 12995, 16037, 1114, 17876, 1058, 1381, 1006, 3671, 3803, 1084, 1096, 1992, 2246, 1094, 5556, 3010, 4661, 1206, 1094, 11678, 2489, 1298, 2827, 3081, 1054, 2283, 7396, 1009, 18665, 1009, 20901, 626, 6416, 1324, 1118, 11342, 29674, 1160, 1096, 1026, 1853, 6980, 20, 1138, 7322, 1096, 1048, 3525, 3737, 1160, 18965, 9312, 1322, 1026, 1048, 6510, 2711, 3144, 2605, 1026, 11347, 1100, 18218, 12396, 2002, 7260, 1106, 6792, 13305, 10416, 1318, 1009, 1094, 30141, 1272, 1048, 3904, 3322, 6063, 1132, 11278, 1009, 4455, 1005, 13460, 1054, 18665, 1009, 20901, 2373, 46, 13219, 1058, 15406, 1007, 1159, 1049, 1362, 6568, 8468, 1118, 3018, 1026, 3124, 1009, 1160, 1058, 5593, 1124, 13425, 3352, 1929, 1580, 1601, 1819, 1006, 5579, 1009, 11860, 1043, 1006, 18665, 1009, 20901, 25586, 1009, 2742, 20085, 3017, 1096, 3888, 2464, 1114, 17876, 1006, 3271, 2229, 2059, 1026, 2343, 2162, 30983, 9528, 11418, 2122, 1160, 1096, 1006, 1853, 3597, 16037, 1213, 6781, 1026, 7423, 1298, 11186, 1118, 1762, 13618, 11549, 1026, 2011, 1009, 17790, 1049, 9295, 20035, 6383, 6792, 5581, 11902, 1009, 1094, 7565, 1048, 7351, 1009, 1044, 14698, 1049, 2343, 2162, 1048, 1058, 4294, 1393, 1054, 11778, 1026, 7423, 1009, 19953, 1005, 26197, 1006, 3450, 8545, 32, 14232, 1853, 1871, 1009, 13791, 1044, 7355, 1009, 18665, 1009, 3453, 1096, 2791, 4882, 1072, 2191, 1009, 8471, 1009, 2089, 19953, 30983, 1344, 1412, 28206, 1381, 11710, 1233, 4840, 32, 18227, 12995, 1009, 19953, 1963, 1076, 1679, 4101, 1005, 3449, 21178, 1006, 17277, 5841, 1841, 1096, 1094, 4380, 1048, 16092, 2127, 4022, 1118, 1751, 1187, 9134, 1960, 2609, 2565, 4807, 1049, 8123, 15720, 2170, 27758, 1060, 4263, 6451, 20, 18935, 2950, 1184, 21717, 2444, 2711, 3803, 20481, 1026, 16114, 27793, 2246, 4734, 4810, 1096, 4734, 1009, 1742, 1554, 626, 1605, 16200, 1291, 12534, 4763, 1009, 31465, 10665, 21113, 1048, 1026, 12995, 1298, 21178, 1006, 5034, 10303, 1271, 14720, 1309, 13780, 1006, 30715, 2113, 1187, 3525, 3737, 32, 18227, 8991, 1337, 20799, 11897, 1094, 2700, 1009, 1994, 10266, 1679, 2204, 1480, 1005, 13510, 2106, 1847, 1048, 1857, 1693, 3505, 1006, 1178, 27815, 1166, 17754, 3830, 1711, 7008, 1043, 1006, 5943, 1060, 2492, 1032, 1034, 1711, 1072, 2535, 1009, 2054, 1036, 20528, 5856, 1994, 1088, 1728, 6751, 1159, 1124, 10457, 1049, 2033, 1337, 1327, 1009, 11267, 8522, 18, 21027, 1006, 4863, 17876, 1096, 1853, 1048, 9545, 1006, 5556, 1213, 2343, 2162, 30983, 1467, 30632, 17805, 5287, 1082, 22880, 1318, 16200, 1291, 1005, 11304, 2112, 8451, 1140, 1049, 11893, 44, 19, 2394, 1571, 10083, 1118, 2322, 2864, 1381, 6621, 7155, 1233, 1187, 7998, 1728, 18227, 8991, 1337, 20799, 1049, 8123, 48, 1096, 1009, 1094, 31989, 2742, 1048, 3711, 2947, 1493, 4417, 1068, 1132, 2204, 1480, 1005, 2683, 11053, 22539, 1656, 1043, 1712, 10488, 1124, 6444, 1048, 1693, 1178, 14123, 5909, 21199, 5841, 10626, 10729, 1461, 1044, 4318, 14228, 1118, 1751, 5473, 4085, 1322, 6444, 9230, 1006, 18665, 1009, 10138, 1206, 17217, 18375, 1213, 8359, 5120, 1026, 2464, 1495, 22355, 1160, 2521, 1751, 1009, 1569, 4374, 14102, 626, 5026, 2303, 1043, 9475, 1124, 6535, 3098, 6657, 1048, 1837, 5635, 1566, 1058, 10388, 1412, 1043, 1989, 18861, 2643, 1493, 1712, 10367, 1009, 10626, 1009, 6444, 31088, 2170, 23874, 1009, 7752, 1009, 2266, 12527, 2464, 1054, 6465, 1324, 1826, 4048, 7425, 2373, 5552, 2921, 19777, 2643, 1712, 10367, 1068, 7449, 1124, 6444, 1048, 6510, 1711, 1005, 1124, 1048, 1160, 6510, 1711, 1178, 2711, 1312, 1213, 2343, 2162, 4324, 5649, 2904, 1218, 3737, 31169, 1048, 8408, 1648, 7423, 1009, 2266, 1493, 1712, 1048, 1026, 3654, 3996, 3893, 10204, 2143, 3311, 4970, 1069, 1357, 6057, 23091, 18227, 8667, 1009, 25887, 1009, 6444, 1048, 1693, 1178, 31088, 1005, 1048, 1327, 5176, 6397, 1679, 2204, 1480, 1005, 2683, 11053, 6119, 2374, 1493, 1184, 14228, 1049, 1048, 12871, 1048, 1327, 5176, 6397, 1726, 6535, 13432, 20, 6751, 1118, 13425, 7149, 1005, 1114, 17876, 1132, 3525, 3737, 10543, 4125, 1027, 1124, 2266, 1213, 2343, 2162, 30983, 17805, 2103, 22837, 1919, 1160, 1011, 4432, 1048, 1026, 8991, 1337, 20799, 4172, 1178, 20375, 1009, 2596, 1006, 10830, 2122, 13339, 20, 18227, 1011, 25249, 1060, 4380, 1325, 1114, 31989, 1271, 6444, 1048, 1693, 4125, 2309, 3525, 3737, 2464, 6119, 18, 1760, 1040, 4125, 1006, 1261, 1044, 3467, 8183, 19448, 1068, 1160, 10259, 1656, 12818, 2266, 1213, 2343, 2162, 30983, 11891, 1009, 21071, 1467, 3971, 1009, 4085, 19302, 1068, 9066, 2266, 26093, 1048, 3711, 1929, 1046, 1178, 24294, 1213, 2343, 2162, 6071, 1068, 1026, 9495, 10451, 1054, 2522, 28850, 20894, 3117, 3979, 1803, 1044, 1187, 3328, 19582, 1049, 9032, 1533, 16559, 1049, 8123, 48, 2283, 5892, 1679, 3525, 3737, 1006, 5034, 1428, 1041, 2636, 1187, 18743, 1005, 3408, 4048, 3607, 1060, 5521, 13496, 1005, 14198, 1187, 5870, 1005, 1060, 1244, 1774, 7165, 1009, 26276, 6903, 1391, 1005, 18998, 1048, 2411, 1016, 1040, 1124, 6444, 20, 2373, 2959, 3901, 12975, 1006, 4716, 1009, 6573, 1054, 5283, 1009, 2522, 28850, 1048, 6676, 1040, 1026, 3090, 1009, 3563, 1009, 30377, 22896, 1009, 1858, 1005, 5034, 1009, 27542, 1006, 3023, 1055, 1009, 1094, 3568, 1005, 1456, 5144, 11176, 13956, 1009, 10291, 2486, 2565, 7534, 1005, 16425, 1187, 13248, 1005, 16232, 7903, 1049, 2868, 4324, 5649, 3117, 19150, 9003 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1124, 6535, 5066, 15115, 1766, 5891, 1693, 1178, 3447, 1166, 1072, 2788, 1049, 2343, 2162, 17627, 2156, 5715, 1009, 5556, 9999, 1312, 1213, 2343, 2162, 20, 1063, 1184, 3707, 1096, 1006, 11906, 1009, 12689, 1054, 2538, 23236, 2663, 53, 26446, 1048, 1096, 1094, 20205, 17046, 8863, 2309, 11130, 26185, 1118, 3940, 1006, 19844, 2266, 1213, 9295, 1927, 1048, 1044, 4174, 1381, 19820, 1054, 3453, 5595, 4109, 2824, 3886, 31511, 1063, 2924, 1096, 1006, 11906, 1009, 12689, 12269, 1292, 1497, 2663, 2428, 1349, 9999, 1140, 1511, 1132, 10336, 11130, 26185, 3675, 1040, 1054, 12388, 1009, 1456, 4209, 29612, 1009, 18665, 1009, 15068, 10591, 1009, 8359, 1876, 1206, 1009, 8241, 12194, 1005, 2089, 3638, 25212, 1907, 5613, 1783, 1005, 1132, 11130, 26185, 1006, 15521, 1026, 2343, 2162, 1322, 5906, 1394, 13432, 1327, 25251, 1118, 9443, 1170, 1009, 26760, 8761, 16006, 3098, 6657, 5066, 1229, 7995, 2044, 1014, 4065, 2768, 10971, 1678, 24535, 4525, 3967, 1544, 1009, 3159, 1009, 20293, 1005, 17870, 1411, 10545, 1014, 4065, 24052, 1273, 26723, 1365, 9918, 11341, 2271, 7434, 1132, 3525, 3737, 1058, 9751, 4633, 1009, 2266, 1049, 9295, 1118, 3722, 1049, 8991, 1337, 20799, 9521, 1049, 5019, 2769, 1009, 21009, 1048, 5543, 1054, 11767, 1054, 3403, 1009, 3209, 23498, 6021, 1026, 7423, 1009, 19953, 1009, 6444, 31088, 17422, 1379, 20, 1482, 6813, 1026, 2343, 2162, 3661, 1422, 3989, 1910, 19953, 1009, 6444, 5909, 21199, 1482, 7267, 1596, 1307, 6259, 31511, 5011, 1054, 7434, 1043, 1006, 5086, 1272, 1060, 8263, 1049, 8123, 48, 1048, 1058, 2283, 7709, 1679, 3525, 13300, 1026, 2285, 1009, 25690, 1963, 3506, 1068, 3646, 26, 1025, 1509, 3320, 11341, 1054, 8936, 4064, 1006, 4662, 25, 22438, 5311, 3225, 1049, 1901, 7755, 3646, 28, 9557, 1327, 19953, 6626, 2309, 3525, 3737, 4441, 5891, 4970, 1046, 2350, 5729, 20, 9317, 2972, 1010, 2643, 10741, 3951, 1055, 1118, 16392, 1043, 3525, 3737, 1511, 1064, 2241, 3453, 1206, 1132, 3525, 3737, 1826, 21035, 2266, 1054, 12995, 1068, 1026, 2343, 2162, 37, 11772, 1132, 9511, 3960, 1251, 18467, 11859, 3903, 1072, 7423, 1009, 2266, 24294, 1213, 9295, 37, 6126, 1094, 5034, 4741, 1014, 5289, 1068, 1026, 12054, 5856, 2266, 37, 1138, 2343, 2162, 6787, 6180, 1043, 1989, 7423, 1009, 4734, 37, 2656, 1837, 9605, 2987, 1068, 1124, 2615, 1273, 1159, 1058, 14094, 1114, 5034, 1048, 9556, 20747, 1356, 1535, 48, 1189, 5036, 1049, 14316, 17627, 7880, 1098, 11478, 5636, 19126, 1072, 5239, 1009, 1048, 1026, 2033, 1337, 1049, 8123, 48, 2521, 1043, 1048, 1132, 3525, 13300, 1043, 3970, 1047, 1009, 4207, 8160, 1402, 1118, 3473, 10270, 1463, 19953, 18, 12524, 7965, 1006, 2511, 8263, 32, 2373, 5552, 17876, 2229, 2059, 1371, 7, 8226, 6062, 5144, 4140, 16708, 1160, 1096, 1026, 1048, 1058, 2540, 1187, 1215, 1018, 26185, 1006, 14126, 2711, 3803, 1482, 1456, 13344, 1009, 24021, 1026, 2343, 2162, 15027, 1048, 2252, 1124, 19953, 2373, 2587, 4508, 1312, 1054, 1094, 6621, 1049, 4461, 1271, 6444, 1005, 5314, 4048, 5006, 1009, 1871, 1006, 2997, 1969, 5423, 1005, 2283, 1275, 4159, 1233, 5110, 1005, 9167, 1990, 1271, 14980, 626, 6889, 1871, 3822, 11970, 2154, 1511, 1094, 5556, 7032, 1213, 2343, 2162, 18, 1687, 1096, 4637, 1140, 1054, 1094, 2068, 1009, 1858, 1571, 1096, 11916, 1236, 1006, 1094, 5034, 1980, 13199, 17125, 1711, 16915, 1044, 22242, 13284, 4734, 1043, 1026, 22412, 2123, 1295, 1009, 2266, 1049, 4235, 1009, 1858, 1049, 9295, 1009, 8600, 20, 11014, 19983, 1096, 3330, 1026, 1048, 1058, 8561, 2175, 1278, 1009, 1591, 1014, 1337, 3644, 24336, 1603, 1006, 5980, 18310, 1160, 4955, 3751, 1303, 8407, 1060, 1173, 1192, 13188, 6879, 2166, 1006, 5556, 1096, 1591, 1014, 5330, 7496, 4473, 10968, 1114, 2068, 1009, 1858, 1068, 24133, 2528, 1309, 1160, 6856, 1068, 1124, 6982, 4496, 1049, 2568, 1533, 2750, 6947, 1096, 8846, 1054, 1044, 2550, 6322, 6567, 1009, 6228, 1048, 4014, 71, 19953, 30555, 1068, 5034, 4849, 91, 1314, 2166, 2068, 8348, 1114, 13851, 1009, 1006, 5556, 22754, 11526, 3974, 1009, 4461, 20, 8384, 1846, 5816, 1096, 1048, 1006, 5556, 1298, 4305, 1006, 5034, 1009, 9017, 1049, 9295, 2170, 6021, 2535, 9545, 1009, 3124, 16770, 1105, 1758, 1114, 29060, 1096, 21970, 1026, 23963, 1009, 24529, 13824, 1239, 4228, 11326, 16075, 4758, 1049, 2285, 1009, 19953, 31088, 1058, 2521, 4877, 15400, 4072, 86, 1728, 1482, 7267, 1511, 1132, 3525, 3737, 1620, 1160, 2829, 26185, 1006, 7340, 2266, 1213, 2343, 2162, 18, 1596, 7457, 1402, 8856, 24, 1910, 1123, 11326, 1916, 1482, 7434, 1566, 1043, 1124, 19953, 1187, 3525, 13300, 1026, 2285, 1009, 1123, 11326, 89, 1195, 1009, 12540, 28, 31511, 11341, 1054, 8936, 1596, 7457, 1402, 12505, 27, 1910, 1123, 11326, 1916, 1063, 9168, 1009, 9556, 1096, 1058, 1160, 15691, 1847, 15627, 1288, 18310, 6444, 2464, 1853, 5365, 3273, 3572, 6802, 1657, 16770, 1105, 1758, 1009, 4734, 1533, 4884, 1009, 16412, 5615, 1009, 2073, 17876, 1048, 1054, 1044, 1831, 2803, 3012, 8616, 1963, 1088, 1930, 10920, 2088, 20135, 5153, 1026, 9495, 13751, 1291, 1005, 4868, 8026, 1344, 1412, 5647, 1917, 9541, 2373, 1117, 1160, 1837, 1006, 6621, 12908, 1009, 1752, 4087, 1572, 10837, 1233, 3357, 1009, 11278, 1969, 6875, 1026, 14810, 1048, 1234, 1213, 3525, 1939, 1663, 1044, 6262, 2073, 1298, 1058, 1650, 1930, 8863, 18, 16653, 1060, 4884, 1009, 18665, 1009, 3453, 626, 3482, 1093, 1292, 1497, 2464, 1068, 5806, 22371, 1305, 1006, 12908, 2068, 22455, 3587, 1511, 1058, 2265, 1026, 3124, 1009, 1048, 1026, 2343, 2162, 1298, 8748, 1124, 2266, 1048, 1327, 14707, 1043, 1132, 9134, 1009, 8274, 1005, 4832, 26995, 3724, 8409, 5219, 1566, 6303, 1026, 12684, 5995, 3517, 6889, 2303, 1043, 5647, 1917, 9541, 1006, 4380, 17731, 1006, 1178, 3729, 1140, 1096, 1026, 3124, 1009, 1044, 2123, 1295, 1009, 5870, 18833, 16653, 1006, 16700, 1177, 1009, 2073, 13339, 1572, 1013, 2528, 1026, 1048, 20040, 3997, 13636, 8990, 3500, 13751, 24056, 1138, 4868, 2265, 1963, 19191, 1006, 17688, 1009, 1132, 3525, 3737, 15027, 1656, 6444, 31088, 1213, 8123, 15720, 1309, 1160, 1009, 1871, 29118, 1610, 1021, 3567, 18227, 6942, 1233, 16200, 1149, 1160, 1298, 1178, 2232, 2961, 1069, 1043, 1026, 27151, 1009, 3997, 1005, 26493, 13636, 1187, 5693, 20246, 4807, 1511, 4548, 7320, 1009, 8236, 1132, 7841, 3770, 1305, 14961, 1169, 2099, 1133, 77, 11713, 1554, 626, 2555, 7039, 1009, 4884, 1605, 16200, 1291, 12396, 2002, 7260, 4934, 1106, 6792, 13305, 12678, 2392, 4756, 1049, 5054, 18665, 1009, 15068, 24507, 1665, 1791, 17100, 2522, 17586, 2106, 1048, 24514, 1989, 7663, 7423, 1009, 19953, 20, 29427, 1094, 23968, 11347, 3830, 8522, 20, 1482, 2277, 8248, 1006, 3971, 1009, 3513, 1049, 4898, 3750, 2270, 14232, 22741, 1060, 5556, 1009, 6444, 31088, 2309, 3525, 3737, 7917, 1009, 15266, 1791, 4844, 5311, 3311, 1009, 4350, 1060, 3513, 3559, 18589, 1096, 1493, 2574, 8410, 1063, 1795, 8673, 1060, 16928, 2058, 1140, 1233, 7160, 1009, 8582, 1365, 3187, 15403, 5305, 1005, 1026, 2343, 2162, 18, 10543, 5275, 150, 1132, 24001, 1005, 1006, 8509, 1096, 1006, 6937, 3960, 7423, 4324, 5649, 6383, 6792, 5581, 3245, 1040, 1280, 1048, 1044, 14316, 7155, 5140, 1043, 1026, 4898, 5066, 3335, 1511, 1124, 6535, 7949, 1006, 1178, 3750, 1312, 1006, 15521, 6444, 31088, 1206, 1173, 1912, 1392, 1213, 2343, 2162, 32, 2373, 46, 11525, 11347, 1100, 1026, 3266, 2343, 2162, 8669, 3205, 5810, 1044, 7228, 22272, 30636, 1132, 9559, 17097, 1412, 1456, 5061, 1009, 6621, 2170, 8067, 1026, 6980, 1096, 1493, 16015, 1776, 25518, 1096, 3888, 1048, 9545, 1702, 12995, 16037, 1114, 17876, 1058, 1381, 1006, 3671, 3803, 1084, 1096, 1992, 2246, 1094, 5556, 3010, 4661, 1206, 1094, 11678, 2489, 1298, 2827, 3081, 1054, 2283, 7396, 1009, 18665, 1009, 20901, 626, 6416, 1324, 1118, 11342, 29674, 1160, 1096, 1026, 1853, 6980, 20, 1138, 7322, 1096, 1048, 3525, 3737, 1160, 18965, 9312, 1322, 1026, 1048, 6510, 2711, 3144, 2605, 1026, 11347, 1100, 18218, 12396, 2002, 7260, 1106, 6792, 13305, 10416, 1318, 1009, 1094, 30141, 1272, 1048, 3904, 3322, 6063, 1132, 11278, 1009, 4455, 1005, 13460, 1054, 18665, 1009, 20901, 2373, 46, 13219, 1058, 15406, 1007, 1159, 1049, 1362, 6568, 8468, 1118, 3018, 1026, 3124, 1009, 1160, 1058, 5593, 1124, 13425, 3352, 1929, 1580, 1601, 1819, 1006, 5579, 1009, 11860, 1043, 1006, 18665, 1009, 20901, 25586, 1009, 2742, 20085, 3017, 1096, 3888, 2464, 1114, 17876, 1006, 3271, 2229, 2059, 1026, 2343, 2162, 30983, 9528, 11418, 2122, 1160, 1096, 1006, 1853, 3597, 16037, 1213, 6781, 1026, 7423, 1298, 11186, 1118, 1762, 13618, 11549, 1026, 2011, 1009, 17790, 1049, 9295, 20035, 6383, 6792, 5581, 11902, 1009, 1094, 7565, 1048, 7351, 1009, 1044, 14698, 1049, 2343, 2162, 1048, 1058, 4294, 1393, 1054, 11778, 1026, 7423, 1009, 19953, 1005, 26197, 1006, 3450, 8545, 32, 14232, 1853, 1871, 1009, 13791, 1044, 7355, 1009, 18665, 1009, 3453, 1096, 2791, 4882, 1072, 2191, 1009, 8471, 1009, 2089, 19953, 30983, 1344, 1412, 28206, 1381, 11710, 1233, 4840, 32, 18227, 12995, 1009, 19953, 1963, 1076, 1679, 4101, 1005, 3449, 21178, 1006, 17277, 5841, 1841, 1096, 1094, 4380, 1048, 16092, 2127, 4022, 1118, 1751, 1187, 9134, 1960, 2609, 2565, 4807, 1049, 8123, 15720, 2170, 27758, 1060, 4263, 6451, 20, 18935, 2950, 1184, 21717, 2444, 2711, 3803, 20481, 1026, 16114, 27793, 2246, 4734, 4810, 1096, 4734, 1009, 1742, 1554, 626, 1605, 16200, 1291, 12534, 4763, 1009, 31465, 10665, 21113, 1048, 1026, 12995, 1298, 21178, 1006, 5034, 10303, 1271, 14720, 1309, 13780, 1006, 30715, 2113, 1187, 3525, 3737, 32, 18227, 8991, 1337, 20799, 11897, 1094, 2700, 1009, 1994, 10266, 1679, 2204, 1480, 1005, 13510, 2106, 1847, 1048, 1857, 1693, 3505, 1006, 1178, 27815, 1166, 17754, 3830, 1711, 7008, 1043, 1006, 5943, 1060, 2492, 1032, 1034, 1711, 1072, 2535, 1009, 2054, 1036, 20528, 5856, 1994, 1088, 1728, 6751, 1159, 1124, 10457, 1049, 2033, 1337, 1327, 1009, 11267, 8522, 18, 21027, 1006, 4863, 17876, 1096, 1853, 1048, 9545, 1006, 5556, 1213, 2343, 2162, 30983, 1467, 30632, 17805, 5287, 1082, 22880, 1318, 16200, 1291, 1005, 11304, 2112, 8451, 1140, 1049, 11893, 44, 19, 2394, 1571, 10083, 1118, 2322, 2864, 1381, 6621, 7155, 1233, 1187, 7998, 1728, 18227, 8991, 1337, 20799, 1049, 8123, 48, 1096, 1009, 1094, 31989, 2742, 1048, 3711, 2947, 1493, 4417, 1068, 1132, 2204, 1480, 1005, 2683, 11053, 22539, 1656, 1043, 1712, 10488, 1124, 6444, 1048, 1693, 1178, 14123, 5909, 21199, 5841, 10626, 10729, 1461, 1044, 4318, 14228, 1118, 1751, 5473, 4085, 1322, 6444, 9230, 1006, 18665, 1009, 10138, 1206, 17217, 18375, 1213, 8359, 5120, 1026, 2464, 1495, 22355, 1160, 2521, 1751, 1009, 1569, 4374, 14102, 626, 5026, 2303, 1043, 9475, 1124, 6535, 3098, 6657, 1048, 1837, 5635, 1566, 1058, 10388, 1412, 1043, 1989, 18861, 2643, 1493, 1712, 10367, 1009, 10626, 1009, 6444, 31088, 2170, 23874, 1009, 7752, 1009, 2266, 12527, 2464, 1054, 6465, 1324, 1826, 4048, 7425, 2373, 5552, 2921, 19777, 2643, 1712, 10367, 1068, 7449, 1124, 6444, 1048, 6510, 1711, 1005, 1124, 1048, 1160, 6510, 1711, 1178, 2711, 1312, 1213, 2343, 2162, 4324, 5649, 2904, 1218, 3737, 31169, 1048, 8408, 1648, 7423, 1009, 2266, 1493, 1712, 1048, 1026, 3654, 3996, 3893, 10204, 2143, 3311, 4970, 1069, 1357, 6057, 23091, 18227, 8667, 1009, 25887, 1009, 6444, 1048, 1693, 1178, 31088, 1005, 1048, 1327, 5176, 6397, 1679, 2204, 1480, 1005, 2683, 11053, 6119, 2374, 1493, 1184, 14228, 1049, 1048, 12871, 1048, 1327, 5176, 6397, 1726, 6535, 13432, 20, 6751, 1118, 13425, 7149, 1005, 1114, 17876, 1132, 3525, 3737, 10543, 4125, 1027, 1124, 2266, 1213, 2343, 2162, 30983, 17805, 2103, 22837, 1919, 1160, 1011, 4432, 1048, 1026, 8991, 1337, 20799, 4172, 1178, 20375, 1009, 2596, 1006, 10830, 2122, 13339, 20, 18227, 1011, 25249, 1060, 4380, 1325, 1114, 31989, 1271, 6444, 1048, 1693, 4125, 2309, 3525, 3737, 2464, 6119, 18, 1760, 1040, 4125, 1006, 1261, 1044, 3467, 8183, 19448, 1068, 1160, 10259, 1656, 12818, 2266, 1213, 2343, 2162, 30983, 11891, 1009, 21071, 1467, 3971, 1009, 4085, 19302, 1068, 9066, 2266, 26093, 1048, 3711, 1929, 1046, 1178, 24294, 1213, 2343, 2162, 6071, 1068, 1026, 9495, 10451, 1054, 2522, 28850, 20894, 3117, 3979, 1803, 1044, 1187, 3328, 19582, 1049, 9032, 1533, 16559, 1049, 8123, 48, 2283, 5892, 1679, 3525, 3737, 1006, 5034, 1428, 1041, 2636, 1187, 18743, 1005, 3408, 4048, 3607, 1060, 5521, 13496, 1005, 14198, 1187, 5870, 1005, 1060, 1244, 1774, 7165, 1009, 26276, 6903, 1391, 1005, 18998, 1048, 2411, 1016, 1040, 1124, 6444, 20, 2373, 2959, 3901, 12975, 1006, 4716, 1009, 6573, 1054, 5283, 1009, 2522, 28850, 1048, 6676, 1040, 1026, 3090, 1009, 3563, 1009, 30377, 22896, 1009, 1858, 1005, 5034, 1009, 27542, 1006, 3023, 1055, 1009, 1094, 3568, 1005, 1456, 5144, 11176, 13956, 1009, 10291, 2486, 2565, 7534, 1005, 16425, 1187, 13248, 1005, 16232, 7903, 1049, 2868, 4324, 5649, 3117, 19150, 9003 ]

[ 8, 53, 1831, 5628, 8630, 1049, 2568, 1096, 5707, 1252, 1389, 4201, 5090, 1114, 4281, 1060, 3357, 11457, 2100, 1, 4954, 159, 2649, 7237, 1060, 5809, 3529, 2388, 1174, 16004, 3592, 14872, 1043, 2068, 1054, 1235, 3284, 1054, 2156, 9694, 32, 5371, 2636, 1206, 7625, 1041, 8659, 1257, 3204, 3066, 1096, 1026, 1184, 4230, 1048, 9695, 1322, 1132, 1646, 7767, 1009, 6525, 2196, 1424, 1709, 1157, 1043, 1006, 8685, 1009, 1224, 4809, 1054, 3047, 12922, 6801, 1435, 1060, 17294, 1060, 29906, 1848, 18960, 1377, 2654, 5179, 1461, 5470, 1668, 3066, 2512, 3994, 1043, 1026, 3066, 1009, 23671, 4823, 1118, 5542, 12416, 12339, 5091, 19861, 2186, 1344, 14722, 1063, 31411, 2159, 18793, 1032, 9349, 8, 4860, 26830, 32, 1063, 8161, 1096, 19106, 1006, 10510, 9803, 1060, 11428, 1043, 2068, 1054, 1235, 14265, 2374, 1114, 4783, 5371, 2389, 1206, 7625, 10231, 20, 1257, 1257, 3344, 26937, 32, 1257, 3130, 12354, 2571, 1026, 3284, 1060, 10510, 1068, 4966, 1235, 9151, 20, 1257, 4004, 15101, 2616, 7636, 9447, 1206, 15853, 19689, 1206, 26089, 5534, 1312, 1114, 10510, 20, 1257, 5142, 1424, 2068, 1072, 9151, 1060, 28892, 5176, 71, 1006, 10510, 1233, 4783, 8625, 23091, 5371, 2389, 1206, 7625, 10231, 20, 1257, 18918, 32, 3807, 2701, 3066, 1096, 1026, 1184, 4230, 1048, 1503, 9695, 1322, 1132, 1646, 7767, 1009, 6525, 2196, 1424, 1709, 1157, 1043, 1006, 8685, 1009, 1224, 4809, 1054, 3047, 12922, 6801, 1435, 1060, 17294, 1060, 29906, 1848, 18960, 1377, 2654, 5179, 1461, 5470, 1668, 3066, 2512, 3994, 1043, 1026, 3066, 1009, 23671, 4823, 1118, 5542, 12416, 12339, 5091, 19861, 2186, 1344, 14722, 1063, 31411, 2159, 18793, 1032, 9349, 2100, 1257, 1257, 22713, 6480, 12354, 1020, 1024, 1026, 3284, 1060, 10510, 1257, 1138, 12071, 1017, 19067, 1048, 1026, 3066, 1096, 8701, 1184, 4230, 8, 1048, 16791, 1322, 1026, 5054, 1005, 23872, 1026, 4025, 6191, 1048, 1264, 2185, 1802, 1138, 12071, 1017, 1318, 20794, 5470, 1668, 3066, 3994, 1043, 2143, 3066, 1322, 1026, 1592, 25683, 1257, 1257, 22713, 6221, 15101, 3632, 9447, 19689, 1206, 26089, 1114, 10510, 1257, 1175, 7625, 10231, 32, 8701, 1184, 4230, 1406, 9788, 5179, 1461, 5470, 1406, 28844, 1790, 1148, 3066, 8, 1257, 1175, 5371, 2389, 32, 10620, 1257, 1257, 22713, 6773, 2505, 2075, 1130, 1006, 10510, 1068, 1006, 4783, 27143, 1257, 2800, 1006, 10510, 4836, 9447, 4286, 10028, 1005, 1305, 5812, 1915, 16230, 4800, 5665, 8357, 1159, 1094, 10510, 14433, 2100, 1, 1150, 1257, 4223, 32, 11955, 1026, 2511, 2859, 1005, 22900, 1233, 14346, 19984, 32, 15560, 1784, 3135, 1009, 23581, 6126, 1044, 7836, 1004, 4039, 2951, 83, 2530, 1327, 1006, 2596, 1009, 3219, 11849, 1009, 3230, 2100, 2605, 1159, 1299, 3250, 7472, 11833, 1005, 2384, 20725, 37, 1063, 19066, 9692, 1067, 17494, 1603, 1046, 3297, 1919, 1679, 5162, 6900, 2350, 7320, 23253, 1009, 2808, 23581, 1067, 17494, 1919, 2808, 11833, 1096, 1159, 6912, 1024, 1094, 5475, 20, 3713, 8766, 1006, 27370, 1005, 30645, 5493, 1068, 15704, 5792, 10596, 20, 29427, 1299, 1976, 6016, 1044, 5399, 20, 5139, 8811, 5410, 1299, 1976, 1663, 37, 2656, 1096, 2246, 1094, 3271, 1225, 3453, 1206, 3593, 9097, 20, 2858, 2631, 5399, 1976, 1178, 11247, 1005, 5869, 1505, 3018, 1058, 1299, 6678, 1044, 1531, 2296, 2334, 1044, 2631, 5399, 1976, 6993, 1569, 15650, 1016, 1005, 1663, 1026, 1235, 1853, 1068, 2213, 3144, 1972, 1663, 1044, 14856, 1299, 1160, 1298, 1178, 1493, 5805, 4457, 3713, 89, 3634, 1663, 1044, 1213, 2143, 5450, 1005, 8748, 1569, 1050, 7823, 2605, 1124, 3469, 3048, 1927, 1693, 1178, 5450, 2223, 9340, 1132, 3460, 2643, 4038, 1728, 1138, 1048, 1299, 1976, 1663, 1511, 1299, 1225, 1094, 18748, 1043, 1235, 5399, 37, 3713, 1225, 1048, 4347, 1043, 1264, 1206, 16550, 3735, 1160, 1837, 6082, 1118, 20591, 3241, 1094, 7673, 5669, 1780, 20, 1603, 1264, 1206, 1687, 1160, 9578, 25250, 1299, 1298, 5522, 1094, 6866, 20, 6126, 2125, 10328, 1068, 1178, 5410, 4202, 32, 1119, 2327, 1006, 1264, 1206, 1006, 1687, 1159, 1299, 1325, 1058, 8505, 33, 18570, 1026, 1048, 1235, 5399, 2521, 1009, 26575, 1005, 24513, 1118, 1048, 1299, 2521, 1616, 1206, 1639, 1061, 1667, 1142, 24911, 1009, 1048, 1006, 11833, 1096, 1006, 3616, 1184, 2512, 1054, 1224, 1834, 4437, 22724, 1071, 2400, 2084, 1839, 15, 22502, 12155, 5139, 8811, 5410, 1299, 1976, 1663, 37, 2858, 2631, 5399, 6105, 5869, 20, 21567, 32, 1257, 1063, 12943, 25133, 2631, 5399, 1976, 1178, 11247, 1005, 6993, 1569, 26704, 1005, 1663, 1026, 1235, 1853, 1068, 2213, 3144, 1, 4223, 32, 19, 8521, 1096, 1068, 84, 150, 8754, 4546, 8754, 4546, 19, 14566, 1175, 88, 4546, 19, 1132, 7262, 1006, 2783, 94, 3593, 9180, 1064, 1810, 1155, 3752, 2029, 2341, 1014, 11295, 9612, 16509, 16207, 1111, 93, 1081, 19453, 1835, 6206, 8754, 4546, 19, 14566, 1175, 88, 4546, 19, 1175, 1613, 89, 1096, 11560, 1422, 1101, 1101, 2978, 2978, 1984, 1487, 1175, 3621, 1096, 1068, 1006, 3349, 1175, 3633, 73, 3173, 1096, 11295, 18428, 1175, 4464, 1096, 3130, 6101, 1175, 1646, 1096, 4238, 1175, 4152, 19, 4152, 16207, 4210, 4210, 1175, 4210, 4210, 1175, 4210, 4210, 1175, 9721, 1009, 3149, 1009, 4210, 1175, 3164, 1009, 9407, 1096, 1009, 3295, 1009, 3370, 1009, 8029, 1175, 1033, 4027, 5598, 1504, 2129, 5831, 1048, 1130, 168, 96, 1009, 2022, 1070, 1239, 1175, 2386, 1009, 9407, 1096, 2043, 8002, 1126, 2251, 1175, 13164, 1096, 1779, 1559, 1559, 1083, 1083, 1487, 1422, 42, 1312, 1132, 4972, 12760, 27045, 1407, 1024, 2306, 3012, 1178, 2237, 2711, 3803, 1257, 1063, 2083, 1534, 2068, 1463, 2266, 2185, 5006, 1026, 4530, 1054, 4380, 1096, 13470, 1633, 4703, 168, 96, 1009, 7706, 20, 2200, 1096, 1044, 13099, 1048, 9239, 1118, 2539, 8521, 1118, 9341, 8878, 2966, 15765, 1766, 7262, 1063, 2783, 6036, 11841, 11047, 18, 9633, 9955, 1387, 3936, 2029, 2341, 1870, 1144, 12885, 1005, 1982, 93, 1081, 8215, 1835, 1253, 1916, 5024, 3633, 4346, 1096, 12237, 2804, 2528, 1571, 1264, 5471, 1006, 12159, 2285, 22346, 1257, 13470, 1633, 4703, 168, 96, 1009, 7706, 5810, 1054, 3295, 1009, 3370, 1009, 12535, 1054, 22976, 6220, 13823, 2698, 1224, 3560, 29362, 1072, 8921, 1996, 1009, 4125, 1006, 6534, 1054, 2539, 5962, 2223, 2200, 8171, 1044, 3225, 1009, 1578, 7882, 1213, 2729, 1009, 1224, 14382, 1043, 1224, 1712, 3337, 1009, 12742, 7882, 1054, 4152, 9958, 2400, 1511, 1264, 8171, 1487, 7882, 1357, 9633, 25732, 1257, 1257, 4490, 4464, 1096, 1009, 3646, 6101, 24949, 1005, 1264, 9239, 3467, 1250, 1009, 4238, 1006, 15573, 2200, 9239, 1356, 8921, 1009, 4238, 1006, 7127, 8250, 1054, 4152, 9958, 2400, 1766, 7262, 1063, 2783, 94, 1054, 7230, 11841, 11047, 1054, 7230, 9633, 2646, 1054, 7230, 1387, 3936, 2029, 2341, 1014, 1054, 7230, 1144, 12885, 1054, 3837, 9958, 25, 1005, 1982, 93, 1081, 8215, 1835, 6206, 1118, 9341, 17593, 1257, 1482, 25228, 1124, 2266, 14707, 18271, 1048, 1026, 4530, 1054, 4380, 1096, 13470, 1633, 4703, 168, 96, 1009, 16551, 1044, 21315, 4011, 1048, 9239, 1118, 2539, 8521, 1118, 14566, 1005, 5474, 13234, 1357, 12237, 2804, 7043, 1, 10628, 2335, 1898, 158, 1098, 1259, 1629, 1048, 1026, 2490, 1271, 9879, 1009, 4734, 1005, 5556, 4519, 1031, 1349, 20115, 1294, 3009, 2311, 94, 1005, 2311, 94, 1803, 3360, 1298, 2837, 3606, 15368, 1005, 5480, 1009, 12449, 19689, 1365, 4263, 6451, 1005, 12343, 2950, 7584, 3398, 8971, 1005, 19291, 72, 4199, 1679, 1490, 7010, 5700, 27493, 1006, 15096, 1187, 5726, 1060, 7461, 19598, 1140, 1271, 3606, 6686, 9169, 4666, 30922, 1837, 1026, 4957, 1009, 1744, 3299, 71, 1006, 3997, 4508, 2565, 1159, 1026, 3282, 1009, 6250, 1009, 1858, 15333, 1026, 1048, 1298, 1178, 3330, 3360, 1118, 1850, 11072, 2950, 1356, 12343, 4854, 1250, 1294, 4278, 1054, 1048, 1006, 12650, 1751, 1049, 3266, 1622, 7058, 14777, 20, 2122, 1096, 1006, 4856, 2672, 1322, 1006, 1428, 2479, 71, 2237, 7460, 2260, 2762, 1048, 23702, 4618, 16914, 1187, 1858, 7531, 26093, 1356, 1622, 7058, 14777, 1005, 1006, 4957, 12650, 1054, 2535, 1009, 7922, 1271, 8406, 20270, 9553, 18262, 3656, 8200, 1294, 4361, 1020, 31671, 18, 1026, 1048, 1096, 3330, 1043, 1026, 3489, 1009, 12139, 1006, 20472, 15, 1774, 7165, 1049, 3282, 1009, 28293, 13644, 1112, 26951, 1054, 10764, 1049, 1622, 7058, 14777, 20, 1068, 17971, 1006, 6704, 1009, 24157, 1596, 23530, 7938, 1048, 31285, 1046, 1006, 5085, 1049, 3282, 1005, 1060, 15631, 7575, 1159, 17211, 27246, 1124, 12055, 1009, 26773, 1342, 1015, 1024, 4376, 1005, 6414, 2586, 1098, 1385, 1015, 1024, 2629, 1005, 1607, 4460, 6414, 2057, 1916, 1006, 17735, 11561, 1006, 5034, 12317, 12472, 2340, 24739, 14066, 1371, 1060, 16552, 1048, 1124, 18463, 22266, 1392, 2643, 1114, 8962, 10363, 1009, 2266, 1026, 1235, 5903, 9667, 33, 23914, 1717, 86, 5892, 2122, 4840, 1357, 5978, 1009, 1048, 2122, 6685, 1009, 4734, 1160, 1976, 1178, 4224, 1236, 1009, 2596, 1848, 3109, 6226, 1005, 23310, 5780, 1118, 1751, 1187, 11262, 1049, 12343, 1043, 6522, 1068, 1026, 1622, 7058, 16827, 3335, 2340, 1224, 7689, 1160, 1298, 7190, 12650, 1006, 3997, 1206, 20957, 1006, 20596, 1187, 16568, 17089, 1166, 7100, 1048, 1298, 10505, 1054, 10764, 1060, 10363, 1009, 16430, 1858, 26093, 3929, 31961, 12918, 1435, 1068, 1094, 2481, 9157, 1347, 1324, 9209, 1054, 2464, 1233, 3357, 1271, 7055, 3249, 1312, 1294, 7458, 1187, 14195, 2565, 1058, 1311, 6452, 4694, 12940, 1009, 10544, 1990, 3960, 8209, 20, 1072, 4551, 1526, 1213, 3202, 1009, 5144, 4140, 2111, 2923, 1026, 4176, 9064, 1005, 1026, 3118, 1185, 23228, 22413, 1058, 5756, 12650, 1187, 1858, 7531, 1187, 16568, 17089, 1166, 2170, 2535, 3241, 6149, 2647, 16259, 2923, 1009, 1048, 2596, 5140, 2742, 1624, 6292, 1027, 1009, 3997, 4508, 5048, 1006, 3780, 2195, 24577, 1072, 2251, 18, 1072, 3041, 1009, 3353, 1006, 3042, 1009, 6747, 2803, 1054, 1048, 1596, 5118, 1166, 1132, 27187, 8922, 1187, 3251, 23170, 13631, 9503, 16636, 14738, 1072, 3428, 1009, 3780, 1009, 30141, 1272, 1026, 5497, 675, 101, 1266, 84, 3656, 8200, 1114, 5353, 102, 20, 1006, 2323, 1049, 3435, 4666, 16361, 1798, 2923, 1124, 14980, 1068, 5379, 1058, 1596, 28931, 1858, 1187, 16568, 17089, 2585, 10017, 8826, 13544, 3662, 1132, 2688, 12201, 10705, 1054, 12659, 1009, 8555, 1113, 8197, 1327, 1124, 2880, 5773, 4777, 73, 1199, 2319, 1005, 6570, 3017, 10522, 2799, 13095, 1858, 15333, 3282, 1233, 21717, 1622, 7058, 14777, 20, 1, 8454, 1044, 8553, 5628, 1006, 5628, 1068, 2837, 1044, 1064, 1432, 1013, 14610, 63, 1048, 5631, 1094, 2919, 1009, 5850, 1880, 5454, 8854, 1068, 13734, 1005, 6417, 1068, 5047, 2604, 2925, 22795, 1213, 3725, 20, 1138, 8553, 1976, 1178, 4823, 1054, 6924, 5864, 1005, 1572, 4719, 1043, 1490, 1161, 18531, 1009, 4054, 1005, 9253, 5795, 1206, 1531, 8109, 1068, 3371, 1006, 7813, 1439, 1752, 5628, 20, 3423, 2668, 1118, 7855, 31115, 30715, 4993, 1009, 3227, 1005, 7636, 25223, 1068, 1026, 23779, 1009, 8938, 5308, 27439, 1058, 31194, 5148, 91, 1034, 5628, 1006, 5628, 1068, 1663, 1044, 4006, 1037, 1045, 3448, 14610, 63, 1257, 36, 30817, 1654, 32, 1257, 1175, 1083, 1006, 1035, 1009, 10610, 1069, 1009, 7331, 1257, 1175, 1675, 17, 23610, 1009, 18863, 5486, 4773, 1257, 1175, 1158, 25714, 14376, 1009, 19266, 20626, 1071, 3185, 1316, 1350, 12052, 2537, 1140, 15, 1257, 1175, 1083, 7387, 1009, 6941, 1086, 10926, 1010, 11730, 1727, 1257, 1175, 5535, 2299, 32, 6828, 5486, 2765, 1159, 6831, 11416, 10737, 7685, 1206, 22500, 1257, 36, 31841, 4014, 1157, 1044, 1006, 1035, 10610, 1069, 1009, 7331, 20, 1138, 4466, 1096, 1495, 1006, 12837, 13586, 1309, 26508, 1371, 1009, 1048, 1096, 1807, 1026, 5434, 1068, 2258, 1014, 1124, 14376, 1009, 19266, 3600, 1076, 13994, 20, 1257, 1257, 4004, 19821, 1094, 18863, 5486, 4773, 1048, 1096, 4680, 1026, 5434, 1068, 18922, 2693, 1006, 4112, 1146, 2938, 1049, 1006, 16540, 3275, 10125, 1006, 18863, 1213, 5211, 1049, 1006, 2586, 12012, 1043, 1094, 22287, 1060, 18863, 9441, 1713, 1213, 1006, 1035, 1043, 1044, 12274, 20, 1257, 1257, 5142, 23946, 23390, 1157, 1006, 18863, 1213, 5211, 1049, 1006, 2586, 3174, 8882, 1371, 1009, 11331, 1024, 1006, 18863, 15939, 1140, 1068, 1048, 1160, 9545, 2296, 4369, 1206, 4200, 77, 1728, 26048, 1006, 13859, 1060, 18863, 1717, 1026, 23390, 1303, 3388, 1005, 3501, 75, 1043, 2143, 12274, 1068, 22744, 1006, 18863, 1072, 15682, 1257, 1257, 6013, 3316, 1472, 1048, 1299, 3241, 1006, 18863, 23390, 1140, 2220, 1026, 3439, 1054, 6019, 1049, 1006, 2586, 1299, 1976, 1261, 1044, 4308, 19112, 1009, 18863, 1048, 1757, 1094, 7402, 1420, 1114, 13859, 7511, 1049, 1006, 16540, 1257, 1655, 10, 1487, 1424, 1132, 1086, 10926, 1010, 11730, 6875, 10099, 2140, 1026, 1006, 1035, 1049, 15713, 1571, 1299, 7206, 1009, 1419, 1026, 1064, 1432, 1013, 2697, 2270, 1257, 1257, 9884, 3275, 10125, 1124, 14376, 1009, 19266, 1213, 5211 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8, 53, 1831, 5628, 8630, 1049, 2568, 1096, 5707, 1252, 1389, 4201, 5090, 1114, 4281, 1060, 3357, 11457, 2100, 1, 4954, 159, 2649, 7237, 1060, 5809, 3529, 2388, 1174, 16004, 3592, 14872, 1043, 2068, 1054, 1235, 3284, 1054, 2156, 9694, 32, 5371, 2636, 1206, 7625, 1041, 8659, 1257, 3204, 3066, 1096, 1026, 1184, 4230, 1048, 9695, 1322, 1132, 1646, 7767, 1009, 6525, 2196, 1424, 1709, 1157, 1043, 1006, 8685, 1009, 1224, 4809, 1054, 3047, 12922, 6801, 1435, 1060, 17294, 1060, 29906, 1848, 18960, 1377, 2654, 5179, 1461, 5470, 1668, 3066, 2512, 3994, 1043, 1026, 3066, 1009, 23671, 4823, 1118, 5542, 12416, 12339, 5091, 19861, 2186, 1344, 14722, 1063, 31411, 2159, 18793, 1032, 9349, 8, 4860, 26830, 32, 1063, 8161, 1096, 19106, 1006, 10510, 9803, 1060, 11428, 1043, 2068, 1054, 1235, 14265, 2374, 1114, 4783, 5371, 2389, 1206, 7625, 10231, 20, 1257, 1257, 3344, 26937, 32, 1257, 3130, 12354, 2571, 1026, 3284, 1060, 10510, 1068, 4966, 1235, 9151, 20, 1257, 4004, 15101, 2616, 7636, 9447, 1206, 15853, 19689, 1206, 26089, 5534, 1312, 1114, 10510, 20, 1257, 5142, 1424, 2068, 1072, 9151, 1060, 28892, 5176, 71, 1006, 10510, 1233, 4783, 8625, 23091, 5371, 2389, 1206, 7625, 10231, 20, 1257, 18918, 32, 3807, 2701, 3066, 1096, 1026, 1184, 4230, 1048, 1503, 9695, 1322, 1132, 1646, 7767, 1009, 6525, 2196, 1424, 1709, 1157, 1043, 1006, 8685, 1009, 1224, 4809, 1054, 3047, 12922, 6801, 1435, 1060, 17294, 1060, 29906, 1848, 18960, 1377, 2654, 5179, 1461, 5470, 1668, 3066, 2512, 3994, 1043, 1026, 3066, 1009, 23671, 4823, 1118, 5542, 12416, 12339, 5091, 19861, 2186, 1344, 14722, 1063, 31411, 2159, 18793, 1032, 9349, 2100, 1257, 1257, 22713, 6480, 12354, 1020, 1024, 1026, 3284, 1060, 10510, 1257, 1138, 12071, 1017, 19067, 1048, 1026, 3066, 1096, 8701, 1184, 4230, 8, 1048, 16791, 1322, 1026, 5054, 1005, 23872, 1026, 4025, 6191, 1048, 1264, 2185, 1802, 1138, 12071, 1017, 1318, 20794, 5470, 1668, 3066, 3994, 1043, 2143, 3066, 1322, 1026, 1592, 25683, 1257, 1257, 22713, 6221, 15101, 3632, 9447, 19689, 1206, 26089, 1114, 10510, 1257, 1175, 7625, 10231, 32, 8701, 1184, 4230, 1406, 9788, 5179, 1461, 5470, 1406, 28844, 1790, 1148, 3066, 8, 1257, 1175, 5371, 2389, 32, 10620, 1257, 1257, 22713, 6773, 2505, 2075, 1130, 1006, 10510, 1068, 1006, 4783, 27143, 1257, 2800, 1006, 10510, 4836, 9447, 4286, 10028, 1005, 1305, 5812, 1915, 16230, 4800, 5665, 8357, 1159, 1094, 10510, 14433, 2100, 1, 1150, 1257, 4223, 32, 11955, 1026, 2511, 2859, 1005, 22900, 1233, 14346, 19984, 32, 15560, 1784, 3135, 1009, 23581, 6126, 1044, 7836, 1004, 4039, 2951, 83, 2530, 1327, 1006, 2596, 1009, 3219, 11849, 1009, 3230, 2100, 2605, 1159, 1299, 3250, 7472, 11833, 1005, 2384, 20725, 37, 1063, 19066, 9692, 1067, 17494, 1603, 1046, 3297, 1919, 1679, 5162, 6900, 2350, 7320, 23253, 1009, 2808, 23581, 1067, 17494, 1919, 2808, 11833, 1096, 1159, 6912, 1024, 1094, 5475, 20, 3713, 8766, 1006, 27370, 1005, 30645, 5493, 1068, 15704, 5792, 10596, 20, 29427, 1299, 1976, 6016, 1044, 5399, 20, 5139, 8811, 5410, 1299, 1976, 1663, 37, 2656, 1096, 2246, 1094, 3271, 1225, 3453, 1206, 3593, 9097, 20, 2858, 2631, 5399, 1976, 1178, 11247, 1005, 5869, 1505, 3018, 1058, 1299, 6678, 1044, 1531, 2296, 2334, 1044, 2631, 5399, 1976, 6993, 1569, 15650, 1016, 1005, 1663, 1026, 1235, 1853, 1068, 2213, 3144, 1972, 1663, 1044, 14856, 1299, 1160, 1298, 1178, 1493, 5805, 4457, 3713, 89, 3634, 1663, 1044, 1213, 2143, 5450, 1005, 8748, 1569, 1050, 7823, 2605, 1124, 3469, 3048, 1927, 1693, 1178, 5450, 2223, 9340, 1132, 3460, 2643, 4038, 1728, 1138, 1048, 1299, 1976, 1663, 1511, 1299, 1225, 1094, 18748, 1043, 1235, 5399, 37, 3713, 1225, 1048, 4347, 1043, 1264, 1206, 16550, 3735, 1160, 1837, 6082, 1118, 20591, 3241, 1094, 7673, 5669, 1780, 20, 1603, 1264, 1206, 1687, 1160, 9578, 25250, 1299, 1298, 5522, 1094, 6866, 20, 6126, 2125, 10328, 1068, 1178, 5410, 4202, 32, 1119, 2327, 1006, 1264, 1206, 1006, 1687, 1159, 1299, 1325, 1058, 8505, 33, 18570, 1026, 1048, 1235, 5399, 2521, 1009, 26575, 1005, 24513, 1118, 1048, 1299, 2521, 1616, 1206, 1639, 1061, 1667, 1142, 24911, 1009, 1048, 1006, 11833, 1096, 1006, 3616, 1184, 2512, 1054, 1224, 1834, 4437, 22724, 1071, 2400, 2084, 1839, 15, 22502, 12155, 5139, 8811, 5410, 1299, 1976, 1663, 37, 2858, 2631, 5399, 6105, 5869, 20, 21567, 32, 1257, 1063, 12943, 25133, 2631, 5399, 1976, 1178, 11247, 1005, 6993, 1569, 26704, 1005, 1663, 1026, 1235, 1853, 1068, 2213, 3144, 1, 4223, 32, 19, 8521, 1096, 1068, 84, 150, 8754, 4546, 8754, 4546, 19, 14566, 1175, 88, 4546, 19, 1132, 7262, 1006, 2783, 94, 3593, 9180, 1064, 1810, 1155, 3752, 2029, 2341, 1014, 11295, 9612, 16509, 16207, 1111, 93, 1081, 19453, 1835, 6206, 8754, 4546, 19, 14566, 1175, 88, 4546, 19, 1175, 1613, 89, 1096, 11560, 1422, 1101, 1101, 2978, 2978, 1984, 1487, 1175, 3621, 1096, 1068, 1006, 3349, 1175, 3633, 73, 3173, 1096, 11295, 18428, 1175, 4464, 1096, 3130, 6101, 1175, 1646, 1096, 4238, 1175, 4152, 19, 4152, 16207, 4210, 4210, 1175, 4210, 4210, 1175, 4210, 4210, 1175, 9721, 1009, 3149, 1009, 4210, 1175, 3164, 1009, 9407, 1096, 1009, 3295, 1009, 3370, 1009, 8029, 1175, 1033, 4027, 5598, 1504, 2129, 5831, 1048, 1130, 168, 96, 1009, 2022, 1070, 1239, 1175, 2386, 1009, 9407, 1096, 2043, 8002, 1126, 2251, 1175, 13164, 1096, 1779, 1559, 1559, 1083, 1083, 1487, 1422, 42, 1312, 1132, 4972, 12760, 27045, 1407, 1024, 2306, 3012, 1178, 2237, 2711, 3803, 1257, 1063, 2083, 1534, 2068, 1463, 2266, 2185, 5006, 1026, 4530, 1054, 4380, 1096, 13470, 1633, 4703, 168, 96, 1009, 7706, 20, 2200, 1096, 1044, 13099, 1048, 9239, 1118, 2539, 8521, 1118, 9341, 8878, 2966, 15765, 1766, 7262, 1063, 2783, 6036, 11841, 11047, 18, 9633, 9955, 1387, 3936, 2029, 2341, 1870, 1144, 12885, 1005, 1982, 93, 1081, 8215, 1835, 1253, 1916, 5024, 3633, 4346, 1096, 12237, 2804, 2528, 1571, 1264, 5471, 1006, 12159, 2285, 22346, 1257, 13470, 1633, 4703, 168, 96, 1009, 7706, 5810, 1054, 3295, 1009, 3370, 1009, 12535, 1054, 22976, 6220, 13823, 2698, 1224, 3560, 29362, 1072, 8921, 1996, 1009, 4125, 1006, 6534, 1054, 2539, 5962, 2223, 2200, 8171, 1044, 3225, 1009, 1578, 7882, 1213, 2729, 1009, 1224, 14382, 1043, 1224, 1712, 3337, 1009, 12742, 7882, 1054, 4152, 9958, 2400, 1511, 1264, 8171, 1487, 7882, 1357, 9633, 25732, 1257, 1257, 4490, 4464, 1096, 1009, 3646, 6101, 24949, 1005, 1264, 9239, 3467, 1250, 1009, 4238, 1006, 15573, 2200, 9239, 1356, 8921, 1009, 4238, 1006, 7127, 8250, 1054, 4152, 9958, 2400, 1766, 7262, 1063, 2783, 94, 1054, 7230, 11841, 11047, 1054, 7230, 9633, 2646, 1054, 7230, 1387, 3936, 2029, 2341, 1014, 1054, 7230, 1144, 12885, 1054, 3837, 9958, 25, 1005, 1982, 93, 1081, 8215, 1835, 6206, 1118, 9341, 17593, 1257, 1482, 25228, 1124, 2266, 14707, 18271, 1048, 1026, 4530, 1054, 4380, 1096, 13470, 1633, 4703, 168, 96, 1009, 16551, 1044, 21315, 4011, 1048, 9239, 1118, 2539, 8521, 1118, 14566, 1005, 5474, 13234, 1357, 12237, 2804, 7043, 1, 10628, 2335, 1898, 158, 1098, 1259, 1629, 1048, 1026, 2490, 1271, 9879, 1009, 4734, 1005, 5556, 4519, 1031, 1349, 20115, 1294, 3009, 2311, 94, 1005, 2311, 94, 1803, 3360, 1298, 2837, 3606, 15368, 1005, 5480, 1009, 12449, 19689, 1365, 4263, 6451, 1005, 12343, 2950, 7584, 3398, 8971, 1005, 19291, 72, 4199, 1679, 1490, 7010, 5700, 27493, 1006, 15096, 1187, 5726, 1060, 7461, 19598, 1140, 1271, 3606, 6686, 9169, 4666, 30922, 1837, 1026, 4957, 1009, 1744, 3299, 71, 1006, 3997, 4508, 2565, 1159, 1026, 3282, 1009, 6250, 1009, 1858, 15333, 1026, 1048, 1298, 1178, 3330, 3360, 1118, 1850, 11072, 2950, 1356, 12343, 4854, 1250, 1294, 4278, 1054, 1048, 1006, 12650, 1751, 1049, 3266, 1622, 7058, 14777, 20, 2122, 1096, 1006, 4856, 2672, 1322, 1006, 1428, 2479, 71, 2237, 7460, 2260, 2762, 1048, 23702, 4618, 16914, 1187, 1858, 7531, 26093, 1356, 1622, 7058, 14777, 1005, 1006, 4957, 12650, 1054, 2535, 1009, 7922, 1271, 8406, 20270, 9553, 18262, 3656, 8200, 1294, 4361, 1020, 31671, 18, 1026, 1048, 1096, 3330, 1043, 1026, 3489, 1009, 12139, 1006, 20472, 15, 1774, 7165, 1049, 3282, 1009, 28293, 13644, 1112, 26951, 1054, 10764, 1049, 1622, 7058, 14777, 20, 1068, 17971, 1006, 6704, 1009, 24157, 1596, 23530, 7938, 1048, 31285, 1046, 1006, 5085, 1049, 3282, 1005, 1060, 15631, 7575, 1159, 17211, 27246, 1124, 12055, 1009, 26773, 1342, 1015, 1024, 4376, 1005, 6414, 2586, 1098, 1385, 1015, 1024, 2629, 1005, 1607, 4460, 6414, 2057, 1916, 1006, 17735, 11561, 1006, 5034, 12317, 12472, 2340, 24739, 14066, 1371, 1060, 16552, 1048, 1124, 18463, 22266, 1392, 2643, 1114, 8962, 10363, 1009, 2266, 1026, 1235, 5903, 9667, 33, 23914, 1717, 86, 5892, 2122, 4840, 1357, 5978, 1009, 1048, 2122, 6685, 1009, 4734, 1160, 1976, 1178, 4224, 1236, 1009, 2596, 1848, 3109, 6226, 1005, 23310, 5780, 1118, 1751, 1187, 11262, 1049, 12343, 1043, 6522, 1068, 1026, 1622, 7058, 16827, 3335, 2340, 1224, 7689, 1160, 1298, 7190, 12650, 1006, 3997, 1206, 20957, 1006, 20596, 1187, 16568, 17089, 1166, 7100, 1048, 1298, 10505, 1054, 10764, 1060, 10363, 1009, 16430, 1858, 26093, 3929, 31961, 12918, 1435, 1068, 1094, 2481, 9157, 1347, 1324, 9209, 1054, 2464, 1233, 3357, 1271, 7055, 3249, 1312, 1294, 7458, 1187, 14195, 2565, 1058, 1311, 6452, 4694, 12940, 1009, 10544, 1990, 3960, 8209, 20, 1072, 4551, 1526, 1213, 3202, 1009, 5144, 4140, 2111, 2923, 1026, 4176, 9064, 1005, 1026, 3118, 1185, 23228, 22413, 1058, 5756, 12650, 1187, 1858, 7531, 1187, 16568, 17089, 1166, 2170, 2535, 3241, 6149, 2647, 16259, 2923, 1009, 1048, 2596, 5140, 2742, 1624, 6292, 1027, 1009, 3997, 4508, 5048, 1006, 3780, 2195, 24577, 1072, 2251, 18, 1072, 3041, 1009, 3353, 1006, 3042, 1009, 6747, 2803, 1054, 1048, 1596, 5118, 1166, 1132, 27187, 8922, 1187, 3251, 23170, 13631, 9503, 16636, 14738, 1072, 3428, 1009, 3780, 1009, 30141, 1272, 1026, 5497, 675, 101, 1266, 84, 3656, 8200, 1114, 5353, 102, 20, 1006, 2323, 1049, 3435, 4666, 16361, 1798, 2923, 1124, 14980, 1068, 5379, 1058, 1596, 28931, 1858, 1187, 16568, 17089, 2585, 10017, 8826, 13544, 3662, 1132, 2688, 12201, 10705, 1054, 12659, 1009, 8555, 1113, 8197, 1327, 1124, 2880, 5773, 4777, 73, 1199, 2319, 1005, 6570, 3017, 10522, 2799, 13095, 1858, 15333, 3282, 1233, 21717, 1622, 7058, 14777, 20, 1, 8454, 1044, 8553, 5628, 1006, 5628, 1068, 2837, 1044, 1064, 1432, 1013, 14610, 63, 1048, 5631, 1094, 2919, 1009, 5850, 1880, 5454, 8854, 1068, 13734, 1005, 6417, 1068, 5047, 2604, 2925, 22795, 1213, 3725, 20, 1138, 8553, 1976, 1178, 4823, 1054, 6924, 5864, 1005, 1572, 4719, 1043, 1490, 1161, 18531, 1009, 4054, 1005, 9253, 5795, 1206, 1531, 8109, 1068, 3371, 1006, 7813, 1439, 1752, 5628, 20, 3423, 2668, 1118, 7855, 31115, 30715, 4993, 1009, 3227, 1005, 7636, 25223, 1068, 1026, 23779, 1009, 8938, 5308, 27439, 1058, 31194, 5148, 91, 1034, 5628, 1006, 5628, 1068, 1663, 1044, 4006, 1037, 1045, 3448, 14610, 63, 1257, 36, 30817, 1654, 32, 1257, 1175, 1083, 1006, 1035, 1009, 10610, 1069, 1009, 7331, 1257, 1175, 1675, 17, 23610, 1009, 18863, 5486, 4773, 1257, 1175, 1158, 25714, 14376, 1009, 19266, 20626, 1071, 3185, 1316, 1350, 12052, 2537, 1140, 15, 1257, 1175, 1083, 7387, 1009, 6941, 1086, 10926, 1010, 11730, 1727, 1257, 1175, 5535, 2299, 32, 6828, 5486, 2765, 1159, 6831, 11416, 10737, 7685, 1206, 22500, 1257, 36, 31841, 4014, 1157, 1044, 1006, 1035, 10610, 1069, 1009, 7331, 20, 1138, 4466, 1096, 1495, 1006, 12837, 13586, 1309, 26508, 1371, 1009, 1048, 1096, 1807, 1026, 5434, 1068, 2258, 1014, 1124, 14376, 1009, 19266, 3600, 1076, 13994, 20, 1257, 1257, 4004, 19821, 1094, 18863, 5486, 4773, 1048, 1096, 4680, 1026, 5434, 1068, 18922, 2693, 1006, 4112, 1146, 2938, 1049, 1006, 16540, 3275, 10125, 1006, 18863, 1213, 5211, 1049, 1006, 2586, 12012, 1043, 1094, 22287, 1060, 18863, 9441, 1713, 1213, 1006, 1035, 1043, 1044, 12274, 20, 1257, 1257, 5142, 23946, 23390, 1157, 1006, 18863, 1213, 5211, 1049, 1006, 2586, 3174, 8882, 1371, 1009, 11331, 1024, 1006, 18863, 15939, 1140, 1068, 1048, 1160, 9545, 2296, 4369, 1206, 4200, 77, 1728, 26048, 1006, 13859, 1060, 18863, 1717, 1026, 23390, 1303, 3388, 1005, 3501, 75, 1043, 2143, 12274, 1068, 22744, 1006, 18863, 1072, 15682, 1257, 1257, 6013, 3316, 1472, 1048, 1299, 3241, 1006, 18863, 23390, 1140, 2220, 1026, 3439, 1054, 6019, 1049, 1006, 2586, 1299, 1976, 1261, 1044, 4308, 19112, 1009, 18863, 1048, 1757, 1094, 7402, 1420, 1114, 13859, 7511, 1049, 1006, 16540, 1257, 1655, 10, 1487, 1424, 1132, 1086, 10926, 1010, 11730, 6875, 10099, 2140, 1026, 1006, 1035, 1049, 15713, 1571, 1299, 7206, 1009, 1419, 1026, 1064, 1432, 1013, 2697, 2270, 1257, 1257, 9884, 3275, 10125, 1124, 14376, 1009, 19266, 1213, 5211 ]

[ 1005, 4545, 6191, 1005, 6932, 3812, 13773, 2315, 10978, 9764, 1006, 22103, 1005, 1006, 4831, 16656, 6219, 94, 150, 28476, 19, 1138, 1048, 4800, 9212, 1060, 4044, 1009, 15485, 1068, 1026, 13689, 1009, 4229, 3900, 2366, 1807, 9139, 1114, 1475, 24049, 20, 27317, 8170, 1206, 1160, 1060, 9403, 1160, 10659, 1755, 7999, 2340, 1006, 10586, 2177, 30386, 150, 1132, 4101, 1009, 1456, 7459, 5783, 4319, 1006, 5391, 1009, 1044, 1807, 14606, 1114, 1475, 24049, 20, 14530, 5560, 18659, 1005, 9309, 1043, 2930, 11797, 20398, 1026, 16015, 1084, 8636, 1009, 3770, 4319, 1006, 5391, 1009, 1048, 20398, 1006, 3028, 1751, 1068, 1026, 1807, 2999, 1060, 1180, 48, 24487, 2642, 1092, 10514, 1026, 13689, 4229, 1043, 5773, 1009, 8219, 1479, 24105, 2940, 1048, 10978, 1036, 1096, 1006, 7902, 1049, 8219, 1005, 1060, 1123, 3434, 7253, 4319, 1006, 6728, 1009, 1044, 2481, 8575, 7481, 1024, 1054, 2930, 10549, 6636, 1533, 1226, 1006, 16987, 1359, 1009, 11134, 1049, 2092, 16749, 6636, 1605, 3474, 6217, 1271, 24666, 6139, 0, 1049, 1050, 10101, 1009, 1941, 15709, 26994, 1006, 3357, 14605, 3205, 1005, 1006, 7893, 1236, 1009, 10978, 1029, 150, 1096, 1006, 1184, 5045, 1126, 1048, 1006, 4091, 10835, 29145, 5645, 6046, 9972, 1533, 3219, 71, 1271, 8918, 2603, 1400, 13244, 1005, 27201, 6657, 1054, 30194, 7360, 1503, 4540, 22864, 1930, 1084, 72, 24753, 15789, 1078, 1816, 9764, 1180, 168, 1242, 1005, 22979, 1479, 1006, 1395, 22336, 1930, 1005, 1026, 1345, 1375, 159, 1962, 1058, 4451, 4450, 18, 29353, 1159, 1124, 5281, 1049, 4153, 1006, 1395, 8953, 3256, 1533, 10586, 5544, 6631, 1132, 14420, 1018, 1114, 5261, 1356, 5549, 1009, 14831, 10358, 11421, 2307, 1006, 1015, 12244, 1060, 1460, 22766, 20, 1, 11659, 15957, 1009, 7822, 26902, 1060, 5673, 32, 1138, 1048, 1082, 2783, 1114, 4490, 8207, 1146, 4372, 37, 1152, 8159, 13319, 1342, 2555, 17497, 15957, 1009, 7822, 26902, 1060, 5673, 32, 1138, 1048, 1082, 2783, 1114, 4490, 8207, 1146, 4372, 37, 2995, 2126, 13319, 1342, 12693, 1083, 3268, 6747, 6221, 2704, 7727, 17594, 32, 1675, 2555, 17497, 1646, 1846, 1009, 5115, 1800, 26139, 1124, 4984, 31648, 1213, 10693, 1009, 1868, 31640, 1868, 10463, 1005, 8207, 1146, 4372, 1060, 17428, 1159, 2947, 3004, 5838, 1410, 6041, 3228, 7224, 1224, 23338, 13965, 1664, 1132, 2864, 15022, 1132, 22179, 3925, 1166, 1048, 6884, 1006, 19447, 1144, 2164, 3710, 1082, 133, 6822, 1159, 5231, 1068, 1299, 1916, 2013, 2512, 19971, 3068, 7922, 3019, 4183, 1726, 22515, 89, 1271, 4218, 4650, 1048, 3592, 17741, 11640, 1581, 1819, 2073, 1048, 2374, 1026, 6134, 1006, 1178, 1264, 2784, 2340, 1160, 1058, 5632, 1009, 3568, 1049, 12694, 1005, 1841, 1009, 1094, 3940, 1060, 3028, 8363, 7672, 2572, 1048, 5553, 1072, 1622, 1072, 1901, 1048, 3904, 18, 5898, 2289, 1581, 1819, 1704, 4465, 2733, 22472, 1495, 2364, 2691, 5426, 1054, 1444, 1273, 31786, 1009, 7127, 4210, 1005, 3973, 1096, 1072, 3225, 1009, 18068, 4700, 8401, 1206, 9160, 13290, 11, 1118, 4183, 7336, 1236, 1043, 1132, 17411, 7761, 1018, 1009, 7127, 4210, 1005, 3973, 1071, 2443, 4990, 8401, 9930, 4990, 11, 1005, 10459, 10301, 11, 1565, 1138, 31786, 3225, 1096, 1009, 1487, 2443, 3413, 8401, 1847, 13932, 5205, 11, 1054, 7127, 1307, 2471, 6507, 11, 1054, 4210, 1005, 1487, 2443, 3413, 11, 1054, 14982, 2494, 20697, 2947, 17040, 1071, 5445, 5891, 7878, 1620, 3775, 24034, 1357, 17729, 6854, 1309, 1989, 1096, 1044, 13371, 31028, 6934, 1463, 8533, 15973, 11325, 21570, 4484, 20644, 1060, 3811, 1049, 7822, 26902, 1071, 2639, 28, 3459, 14318, 1349, 1494, 1029, 3085, 1069, 5640, 5945, 11013, 3801, 1005, 5945, 11013, 1009, 5673, 17325, 1043, 22987, 15406, 1713, 3215, 22856, 1054, 8198, 1043, 1132, 1073, 47, 1009, 2921, 11305, 2485, 28499, 4655, 11, 1009, 10511, 1996, 1271, 1054, 1444, 1728, 1084, 1043, 1026, 5654, 12562, 2364, 1054, 6747, 19053, 1124, 9331, 13403, 13095, 1068, 1668, 1901, 1898, 5285, 1888, 1009, 3907, 5291, 1814, 23894, 1986, 2237, 5994, 6446, 1271, 31648, 1213, 7822, 41, 19197, 1581, 1819, 3057, 3681, 1009, 3268, 1009, 14982, 22987, 1246, 12486, 24554, 2861, 11382, 1142, 41, 1246, 12486, 24554, 4677, 2528, 1082, 52, 1246, 12914, 13118, 1672, 3275, 87, 1246, 3275, 10561, 1905, 3590, 10681, 2319, 1009, 3907, 5291, 1814, 1049, 1073, 2599, 4110, 1005, 1073, 5794, 28499, 6571, 8937, 1206, 22987, 1325, 2752, 13934, 1068, 1026, 1073, 47, 1009, 2921, 11305, 2485, 2271, 1048, 1596, 4254, 1312, 1124, 1054, 1444, 1728, 11341, 1006, 2323, 3019, 12686, 1006, 5267, 1049, 1073, 2599, 18068, 27, 1005, 1073, 5794, 18068, 27, 30782, 1068, 14337, 28, 13842, 1071, 1153, 28499, 4655, 11, 1996, 1565, 1482, 1184, 1101, 1005, 1546, 7010, 1495, 6813, 1006, 5267, 1060, 3907, 5291, 1814, 2177, 11411, 20, 4561, 1040, 2464, 8636, 1009, 2073, 2395, 2016, 1132, 17411, 7761, 1018, 23686, 11640, 1058, 6181, 5986, 18, 1206, 4473, 1160, 1837, 8478, 1065, 1303, 1704, 9045, 32, 3782, 1058, 13567, 1006, 2073, 27578, 12608, 2408, 1005, 1592, 8451, 1599, 2340, 1318, 1195, 16134, 1072, 4367, 1006, 27258, 1048, 8944, 1132, 3408, 1054, 1415, 1149, 4355, 11325, 21570, 4484, 15862, 1060, 3811, 1049, 7822, 26902, 1071, 2639, 28, 3459, 14318, 1349, 7336, 1236, 1043, 1132, 17411, 7761, 1018, 1009, 7127, 4210, 1005, 3973, 1071, 2443, 4990, 8401, 9930, 4990, 11, 1005, 10459, 10301, 11, 15973, 11325, 21570, 4484, 14217, 1060, 3811, 1049, 7822, 26902, 1071, 2639, 28, 3459, 14318, 1349, 7336, 1236, 1043, 1132, 17411, 7761, 1018, 1009, 7127, 4210, 1005, 3973, 1071, 2443, 4990, 8401, 9930, 4990, 11, 1005, 10459, 10301, 11, 7199, 77, 1452, 1009, 5673, 17325, 18, 1770, 2241, 1371, 2638, 1452, 17906, 5287, 1074, 1009, 1062, 4411, 1208, 1005, 1224, 23338, 10058, 1996, 1060, 1224, 3811, 1516, 1009, 2444, 1009, 1044, 10511, 8407, 4519, 4888, 1048, 4305, 11915, 2484, 1068, 17070, 1565, 16584, 1043, 4581, 1009, 6571, 22309, 1026, 2161, 3635, 1096, 1009, 2824, 4004, 4406, 2471, 3949, 8126, 40, 2536, 1163, 42, 4517, 2536, 1119, 54, 3377, 57, 12518, 1480, 5411, 2106, 1996, 1271, 1054, 1444, 1273, 5588, 23338, 1009, 2444, 1060, 6746, 1049, 2161, 24398, 3258, 1602, 2602, 1026, 3991, 1337, 2068, 1068, 3319, 6571, 1060, 8592, 1005, 1620, 2845, 1006, 1178, 14779, 1006, 1163, 30379, 18320, 3635, 32, 2824, 4004, 5900, 2525, 24, 2639, 1063, 5600, 2444, 1009, 2824, 1799, 9949, 1254, 3021, 1281, 1037, 2032, 1005, 2638, 1452, 4421, 1544, 3801, 32, 1996, 1271, 1054, 1444, 1273, 5588, 1318, 23338, 1009, 2444, 1049, 1048, 10511, 5195, 17593, 1424, 1006, 19410, 1049, 3991, 1337, 24157, 1026, 2161, 3635, 1096, 1009, 2824, 3130, 3531, 2471, 3413, 8126, 40, 2536, 12419, 21902, 22, 8121, 2536, 1132, 15269, 1060, 11305, 1149, 1060, 27258, 1072, 7822, 26902, 15, 7655, 1195, 1026, 7822, 26902, 9994, 37, 18028, 1048, 15893, 6126, 2653, 16992, 1048, 1620, 1327, 1880, 5454, 1998, 1068, 20187, 1800, 1132, 2125, 1048, 31737, 1471, 1184, 6132, 4992, 32, 12672, 24093, 1055, 1060, 3560, 1049, 2638, 1091, 4421, 1348, 33, 15714, 24093, 1055, 1060, 3560, 1009, 8174, 1037, 1239, 33, 20955, 23870, 1027, 1271, 3606, 25725, 1068, 1132, 1073, 5794, 11357, 2599, 18068, 2400, 1073, 47, 2182, 21, 2721, 1005, 1063, 5794, 20, 2773, 2602, 10860, 14333, 1005, 22866, 1724, 1930, 2199, 1157, 1006, 26197, 1006, 9834, 26230, 1463, 4810, 8862, 1009, 3790, 1479, 9760, 6657, 2492, 4837, 4534, 16985, 1996, 1043, 11305, 1149, 4863, 1048, 3319, 6407, 1005, 1048, 24381, 1009, 12419, 1068, 15266, 1026, 10511, 25663, 5756, 12271, 20, 8470, 1160, 1261, 2281, 1026, 6400, 2784, 1309, 1195, 1026, 1048, 1195, 2481, 14333, 1800, 1054, 3398, 7871, 1068, 1006, 7030, 6789, 5847, 1620, 1184, 12474, 1048, 5756, 1657, 2322, 2250, 1009, 14686, 3155, 1049, 7822, 26902, 1048, 5857, 1060, 8592, 18, 1054, 7838, 1009, 24033, 11207, 2859, 1096, 6304, 1005, 2328, 3615, 3074, 10860, 15521, 1132, 3328, 7284, 1005, 1160, 20898, 1727, 1060, 2042, 1049, 2861, 10636, 2656, 6224, 3877, 1114, 23282, 1322, 1124, 6744, 4650, 1049, 24707, 1178, 1717, 1006, 6820, 1271, 5426, 1054, 1444, 1273, 1271, 14495, 1009, 5225, 1337, 1009, 9924, 1005, 3540, 20270, 18, 12732, 1009, 1048, 1006, 18737, 20256, 13, 1160, 1195, 3037, 2154, 1495, 2246, 1026, 13133, 1213, 24707, 1195, 3330, 5232, 1005, 17590, 1118, 4982, 1054, 1578, 1009, 3042, 1009, 7240, 1726, 12150, 2721, 1060, 16451, 1054, 2092, 3266, 11474, 1021, 15172, 1044, 1531, 1846, 1049, 4367, 1261, 2281, 8220, 1357, 7030, 20, 4685, 1986, 1124, 31648, 6118, 1273, 3768, 19049, 1005, 1495, 1323, 4099, 1093, 1006, 1848, 3552, 29198, 9323, 1054, 3734, 10148, 14318, 1068, 12139, 1094, 1006, 1094, 20, 8028, 1195, 1915, 2270, 4083, 1646, 1048, 1058, 19907, 18, 1503, 9470, 1006, 5741, 1009, 14576, 1006, 2539, 1060, 30171, 7753, 92, 1573, 1005, 2653, 1048, 3842, 1412, 31804, 19045, 1058, 22560, 1975, 1048, 1503, 2120, 79, 1068, 19412, 16356, 1495, 1054, 29198, 158, 1411, 1124, 1054, 1444, 1728, 7027, 12252, 1975, 1048, 1160, 22560, 1975, 20, 3275, 11792, 20, 1138, 2743, 1836, 1054, 11946, 4195, 2909, 30930, 1054, 2444, 1009, 2156, 7082, 1005, 1054, 28515, 1195, 1006, 4497, 2468, 2166, 1048, 1516, 1853, 1049, 1048, 1419, 1026, 4367, 12516, 1305, 21302, 20, 1084, 1132, 3770, 1826, 21130, 17045, 1229, 1054, 2050, 1014, 1554, 1063, 1752, 1901, 1096, 2481, 1419, 1006, 8172, 1059, 643, 7030, 1683, 86, 5892, 7729, 24636, 1068, 20503, 2324, 1417, 1205, 1447, 1040, 1554, 3072, 18371, 5673, 7, 3072, 18371, 2293, 7, 12674, 24288, 10261, 1322, 3598, 17497, 15957, 1009, 7822, 26902, 1060, 5673, 32, 1138, 1048, 1082, 2783, 1114, 4490, 8207, 1146, 4372, 6431, 1691, 1461, 1009, 29240, 2582, 1119, 3362, 1049, 21263, 4557, 2732, 12693, 1083, 3268, 6747, 6773, 3531, 7727, 1726, 6773, 3531, 7727, 13153, 1720, 1096, 3512, 1009, 29240, 18426, 3100, 1009, 4611, 80, 1270, 2032, 1114, 30268, 1114, 2348, 1641, 2493, 1648, 1229, 3230, 8929, 2106, 1006, 3961, 1356, 2930, 7822, 41, 19197, 1309, 1026, 24707, 1160, 2643, 1294, 29360, 1493, 1068, 1294, 15406, 1439, 1072, 14928, 2297, 18, 19837, 1048, 1096, 3282, 1049, 4868, 5197, 13292, 4685, 2643, 1006, 4380, 1187, 3118, 5811, 1048, 6470, 7927, 1054, 8379, 1005, 1826, 1318, 13552, 1118, 1456, 1490, 7010, 1566, 1048, 1195, 6440, 1044, 5633, 1495, 13673, 1068, 1124, 5082, 23254, 1663, 1751, 1060, 4946, 2170, 1160, 1184, 1060, 3597, 2952, 18115, 14199, 1094, 17051, 1026, 1048, 4800, 1663, 1322, 3592, 2156, 7653, 1059, 89, 2341, 1034, 9004, 22146, 12693, 1083, 3268, 6747, 1779, 24617, 7727, 1726, 1779, 24617, 7727, 7985, 85, 6581, 4966, 25649, 11726, 23990, 1008, 5115, 6641, 1068, 1132, 1006, 2223, 2800, 14132, 89, 1680, 11825, 25649, 1008, 1094, 4783, 14132, 1853, 1079, 1198, 87, 90, 7470, 1008, 2924, 20218, 23166, 1059, 1070, 8871, 12693, 1083, 3268, 6747, 12150, 3851, 7727, 1726, 12150, 3851, 7727, 2995, 5385, 3696, 2092, 5399, 1998, 3971, 2364, 1006, 13183, 1187, 9449, 1009, 4946, 25000, 1048, 1495, 2364, 3192, 1620, 675, 1833, 82, 12218, 12475, 1101, 3268, 6747, 12150, 4673, 7558, 1726, 12150, 4673, 7558, 2555, 1769, 17313, 1309, 1005, 1132, 28166, 1048, 1826, 5197, 1070, 1166, 1463, 6296, 23845, 4634, 1094, 1472, 2947, 10514, 1006, 1419, 10065, 37, 3735, 3794, 3991, 2130, 3775, 1867, 1052, 2502, 1679, 1734, 11620, 1009, 3319, 6571, 4145, 8592, 23845, 3217, 89, 1140, 1009, 1998, 1261, 4465, 1009, 2011, 2453, 1060, 4044, 13426, 2998, 7759, 1759, 4562, 2805, 11789, 14799, 28110, 39, 15600, 1307, 3268, 6747, 6221, 5003, 7727, 1726, 6221, 5003, 7727, 1576, 2053, 5881, 132, 52, 3920, 3920, 25160, 2545, 6445, 6923, 10274, 2545, 1084, 11434, 2053, 53, 25160, 39, 12903, 39, 10632, 4186, 5794, 4824, 6383, 16744, 1052, 31732, 1078, 7194, 15628, 1422, 3268, 6747, 11425, 4406, 7558, 1726, 11425, 4406, 7558, 4354, 2631, 13706, 15277, 2605, 7206, 1009, 3291, 1026, 20874, 1049, 1073, 47, 1009, 4110, 78, 4305, 15406, 5457, 1118, 6110, 15845, 1064, 1458, 3378, 91, 1005, 1026, 1073, 47, 1009, 21243, 1160, 1825, 2652, 5344, 1096, 1026, 7065, 37, 1, 2858, 1238, 17233, 1079, 1370, 1395, 1719, 2274, 1048, 8044, 16260, 1006, 3649, 1005, 1160, 1657, 1006, 6446, 1049, 17898, 3449, 31807, 4508, 1112, 9479, 12908, 1006, 15249, 1060, 24529, 4158, 1339, 6146, 1322, 7343, 1990, 1009, 5684, 1009, 7621, 3021, 1085, 3340, 1184, 15450, 1048, 1132, 5608, 1166, 1114, 21225, 1961, 1005, 4025, 23924, 4099, 1874, 1233, 15858, 1060, 11718, 1049, 4318, 1005, 1233, 1098, 2938, 1009, 13832, 15722, 19306, 1693, 1178, 9912, 1357, 22030, 5539, 21887, 1, 18494, 1009, 9778, 1114, 15840, 7032, 1006, 3939, 33, 22764, 21206, 5298, 1060, 3227, 1175, 29839, 47, 22861, 1398, 6269, 1667, 1358, 2324, 10765, 1009, 9778, 1114, 15840, 7032, 1006, 3939, 33, 22764, 21206, 5298, 1060, 3227, 11933, 3284 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1005, 4545, 6191, 1005, 6932, 3812, 13773, 2315, 10978, 9764, 1006, 22103, 1005, 1006, 4831, 16656, 6219, 94, 150, 28476, 19, 1138, 1048, 4800, 9212, 1060, 4044, 1009, 15485, 1068, 1026, 13689, 1009, 4229, 3900, 2366, 1807, 9139, 1114, 1475, 24049, 20, 27317, 8170, 1206, 1160, 1060, 9403, 1160, 10659, 1755, 7999, 2340, 1006, 10586, 2177, 30386, 150, 1132, 4101, 1009, 1456, 7459, 5783, 4319, 1006, 5391, 1009, 1044, 1807, 14606, 1114, 1475, 24049, 20, 14530, 5560, 18659, 1005, 9309, 1043, 2930, 11797, 20398, 1026, 16015, 1084, 8636, 1009, 3770, 4319, 1006, 5391, 1009, 1048, 20398, 1006, 3028, 1751, 1068, 1026, 1807, 2999, 1060, 1180, 48, 24487, 2642, 1092, 10514, 1026, 13689, 4229, 1043, 5773, 1009, 8219, 1479, 24105, 2940, 1048, 10978, 1036, 1096, 1006, 7902, 1049, 8219, 1005, 1060, 1123, 3434, 7253, 4319, 1006, 6728, 1009, 1044, 2481, 8575, 7481, 1024, 1054, 2930, 10549, 6636, 1533, 1226, 1006, 16987, 1359, 1009, 11134, 1049, 2092, 16749, 6636, 1605, 3474, 6217, 1271, 24666, 6139, 0, 1049, 1050, 10101, 1009, 1941, 15709, 26994, 1006, 3357, 14605, 3205, 1005, 1006, 7893, 1236, 1009, 10978, 1029, 150, 1096, 1006, 1184, 5045, 1126, 1048, 1006, 4091, 10835, 29145, 5645, 6046, 9972, 1533, 3219, 71, 1271, 8918, 2603, 1400, 13244, 1005, 27201, 6657, 1054, 30194, 7360, 1503, 4540, 22864, 1930, 1084, 72, 24753, 15789, 1078, 1816, 9764, 1180, 168, 1242, 1005, 22979, 1479, 1006, 1395, 22336, 1930, 1005, 1026, 1345, 1375, 159, 1962, 1058, 4451, 4450, 18, 29353, 1159, 1124, 5281, 1049, 4153, 1006, 1395, 8953, 3256, 1533, 10586, 5544, 6631, 1132, 14420, 1018, 1114, 5261, 1356, 5549, 1009, 14831, 10358, 11421, 2307, 1006, 1015, 12244, 1060, 1460, 22766, 20, 1, 11659, 15957, 1009, 7822, 26902, 1060, 5673, 32, 1138, 1048, 1082, 2783, 1114, 4490, 8207, 1146, 4372, 37, 1152, 8159, 13319, 1342, 2555, 17497, 15957, 1009, 7822, 26902, 1060, 5673, 32, 1138, 1048, 1082, 2783, 1114, 4490, 8207, 1146, 4372, 37, 2995, 2126, 13319, 1342, 12693, 1083, 3268, 6747, 6221, 2704, 7727, 17594, 32, 1675, 2555, 17497, 1646, 1846, 1009, 5115, 1800, 26139, 1124, 4984, 31648, 1213, 10693, 1009, 1868, 31640, 1868, 10463, 1005, 8207, 1146, 4372, 1060, 17428, 1159, 2947, 3004, 5838, 1410, 6041, 3228, 7224, 1224, 23338, 13965, 1664, 1132, 2864, 15022, 1132, 22179, 3925, 1166, 1048, 6884, 1006, 19447, 1144, 2164, 3710, 1082, 133, 6822, 1159, 5231, 1068, 1299, 1916, 2013, 2512, 19971, 3068, 7922, 3019, 4183, 1726, 22515, 89, 1271, 4218, 4650, 1048, 3592, 17741, 11640, 1581, 1819, 2073, 1048, 2374, 1026, 6134, 1006, 1178, 1264, 2784, 2340, 1160, 1058, 5632, 1009, 3568, 1049, 12694, 1005, 1841, 1009, 1094, 3940, 1060, 3028, 8363, 7672, 2572, 1048, 5553, 1072, 1622, 1072, 1901, 1048, 3904, 18, 5898, 2289, 1581, 1819, 1704, 4465, 2733, 22472, 1495, 2364, 2691, 5426, 1054, 1444, 1273, 31786, 1009, 7127, 4210, 1005, 3973, 1096, 1072, 3225, 1009, 18068, 4700, 8401, 1206, 9160, 13290, 11, 1118, 4183, 7336, 1236, 1043, 1132, 17411, 7761, 1018, 1009, 7127, 4210, 1005, 3973, 1071, 2443, 4990, 8401, 9930, 4990, 11, 1005, 10459, 10301, 11, 1565, 1138, 31786, 3225, 1096, 1009, 1487, 2443, 3413, 8401, 1847, 13932, 5205, 11, 1054, 7127, 1307, 2471, 6507, 11, 1054, 4210, 1005, 1487, 2443, 3413, 11, 1054, 14982, 2494, 20697, 2947, 17040, 1071, 5445, 5891, 7878, 1620, 3775, 24034, 1357, 17729, 6854, 1309, 1989, 1096, 1044, 13371, 31028, 6934, 1463, 8533, 15973, 11325, 21570, 4484, 20644, 1060, 3811, 1049, 7822, 26902, 1071, 2639, 28, 3459, 14318, 1349, 1494, 1029, 3085, 1069, 5640, 5945, 11013, 3801, 1005, 5945, 11013, 1009, 5673, 17325, 1043, 22987, 15406, 1713, 3215, 22856, 1054, 8198, 1043, 1132, 1073, 47, 1009, 2921, 11305, 2485, 28499, 4655, 11, 1009, 10511, 1996, 1271, 1054, 1444, 1728, 1084, 1043, 1026, 5654, 12562, 2364, 1054, 6747, 19053, 1124, 9331, 13403, 13095, 1068, 1668, 1901, 1898, 5285, 1888, 1009, 3907, 5291, 1814, 23894, 1986, 2237, 5994, 6446, 1271, 31648, 1213, 7822, 41, 19197, 1581, 1819, 3057, 3681, 1009, 3268, 1009, 14982, 22987, 1246, 12486, 24554, 2861, 11382, 1142, 41, 1246, 12486, 24554, 4677, 2528, 1082, 52, 1246, 12914, 13118, 1672, 3275, 87, 1246, 3275, 10561, 1905, 3590, 10681, 2319, 1009, 3907, 5291, 1814, 1049, 1073, 2599, 4110, 1005, 1073, 5794, 28499, 6571, 8937, 1206, 22987, 1325, 2752, 13934, 1068, 1026, 1073, 47, 1009, 2921, 11305, 2485, 2271, 1048, 1596, 4254, 1312, 1124, 1054, 1444, 1728, 11341, 1006, 2323, 3019, 12686, 1006, 5267, 1049, 1073, 2599, 18068, 27, 1005, 1073, 5794, 18068, 27, 30782, 1068, 14337, 28, 13842, 1071, 1153, 28499, 4655, 11, 1996, 1565, 1482, 1184, 1101, 1005, 1546, 7010, 1495, 6813, 1006, 5267, 1060, 3907, 5291, 1814, 2177, 11411, 20, 4561, 1040, 2464, 8636, 1009, 2073, 2395, 2016, 1132, 17411, 7761, 1018, 23686, 11640, 1058, 6181, 5986, 18, 1206, 4473, 1160, 1837, 8478, 1065, 1303, 1704, 9045, 32, 3782, 1058, 13567, 1006, 2073, 27578, 12608, 2408, 1005, 1592, 8451, 1599, 2340, 1318, 1195, 16134, 1072, 4367, 1006, 27258, 1048, 8944, 1132, 3408, 1054, 1415, 1149, 4355, 11325, 21570, 4484, 15862, 1060, 3811, 1049, 7822, 26902, 1071, 2639, 28, 3459, 14318, 1349, 7336, 1236, 1043, 1132, 17411, 7761, 1018, 1009, 7127, 4210, 1005, 3973, 1071, 2443, 4990, 8401, 9930, 4990, 11, 1005, 10459, 10301, 11, 15973, 11325, 21570, 4484, 14217, 1060, 3811, 1049, 7822, 26902, 1071, 2639, 28, 3459, 14318, 1349, 7336, 1236, 1043, 1132, 17411, 7761, 1018, 1009, 7127, 4210, 1005, 3973, 1071, 2443, 4990, 8401, 9930, 4990, 11, 1005, 10459, 10301, 11, 7199, 77, 1452, 1009, 5673, 17325, 18, 1770, 2241, 1371, 2638, 1452, 17906, 5287, 1074, 1009, 1062, 4411, 1208, 1005, 1224, 23338, 10058, 1996, 1060, 1224, 3811, 1516, 1009, 2444, 1009, 1044, 10511, 8407, 4519, 4888, 1048, 4305, 11915, 2484, 1068, 17070, 1565, 16584, 1043, 4581, 1009, 6571, 22309, 1026, 2161, 3635, 1096, 1009, 2824, 4004, 4406, 2471, 3949, 8126, 40, 2536, 1163, 42, 4517, 2536, 1119, 54, 3377, 57, 12518, 1480, 5411, 2106, 1996, 1271, 1054, 1444, 1273, 5588, 23338, 1009, 2444, 1060, 6746, 1049, 2161, 24398, 3258, 1602, 2602, 1026, 3991, 1337, 2068, 1068, 3319, 6571, 1060, 8592, 1005, 1620, 2845, 1006, 1178, 14779, 1006, 1163, 30379, 18320, 3635, 32, 2824, 4004, 5900, 2525, 24, 2639, 1063, 5600, 2444, 1009, 2824, 1799, 9949, 1254, 3021, 1281, 1037, 2032, 1005, 2638, 1452, 4421, 1544, 3801, 32, 1996, 1271, 1054, 1444, 1273, 5588, 1318, 23338, 1009, 2444, 1049, 1048, 10511, 5195, 17593, 1424, 1006, 19410, 1049, 3991, 1337, 24157, 1026, 2161, 3635, 1096, 1009, 2824, 3130, 3531, 2471, 3413, 8126, 40, 2536, 12419, 21902, 22, 8121, 2536, 1132, 15269, 1060, 11305, 1149, 1060, 27258, 1072, 7822, 26902, 15, 7655, 1195, 1026, 7822, 26902, 9994, 37, 18028, 1048, 15893, 6126, 2653, 16992, 1048, 1620, 1327, 1880, 5454, 1998, 1068, 20187, 1800, 1132, 2125, 1048, 31737, 1471, 1184, 6132, 4992, 32, 12672, 24093, 1055, 1060, 3560, 1049, 2638, 1091, 4421, 1348, 33, 15714, 24093, 1055, 1060, 3560, 1009, 8174, 1037, 1239, 33, 20955, 23870, 1027, 1271, 3606, 25725, 1068, 1132, 1073, 5794, 11357, 2599, 18068, 2400, 1073, 47, 2182, 21, 2721, 1005, 1063, 5794, 20, 2773, 2602, 10860, 14333, 1005, 22866, 1724, 1930, 2199, 1157, 1006, 26197, 1006, 9834, 26230, 1463, 4810, 8862, 1009, 3790, 1479, 9760, 6657, 2492, 4837, 4534, 16985, 1996, 1043, 11305, 1149, 4863, 1048, 3319, 6407, 1005, 1048, 24381, 1009, 12419, 1068, 15266, 1026, 10511, 25663, 5756, 12271, 20, 8470, 1160, 1261, 2281, 1026, 6400, 2784, 1309, 1195, 1026, 1048, 1195, 2481, 14333, 1800, 1054, 3398, 7871, 1068, 1006, 7030, 6789, 5847, 1620, 1184, 12474, 1048, 5756, 1657, 2322, 2250, 1009, 14686, 3155, 1049, 7822, 26902, 1048, 5857, 1060, 8592, 18, 1054, 7838, 1009, 24033, 11207, 2859, 1096, 6304, 1005, 2328, 3615, 3074, 10860, 15521, 1132, 3328, 7284, 1005, 1160, 20898, 1727, 1060, 2042, 1049, 2861, 10636, 2656, 6224, 3877, 1114, 23282, 1322, 1124, 6744, 4650, 1049, 24707, 1178, 1717, 1006, 6820, 1271, 5426, 1054, 1444, 1273, 1271, 14495, 1009, 5225, 1337, 1009, 9924, 1005, 3540, 20270, 18, 12732, 1009, 1048, 1006, 18737, 20256, 13, 1160, 1195, 3037, 2154, 1495, 2246, 1026, 13133, 1213, 24707, 1195, 3330, 5232, 1005, 17590, 1118, 4982, 1054, 1578, 1009, 3042, 1009, 7240, 1726, 12150, 2721, 1060, 16451, 1054, 2092, 3266, 11474, 1021, 15172, 1044, 1531, 1846, 1049, 4367, 1261, 2281, 8220, 1357, 7030, 20, 4685, 1986, 1124, 31648, 6118, 1273, 3768, 19049, 1005, 1495, 1323, 4099, 1093, 1006, 1848, 3552, 29198, 9323, 1054, 3734, 10148, 14318, 1068, 12139, 1094, 1006, 1094, 20, 8028, 1195, 1915, 2270, 4083, 1646, 1048, 1058, 19907, 18, 1503, 9470, 1006, 5741, 1009, 14576, 1006, 2539, 1060, 30171, 7753, 92, 1573, 1005, 2653, 1048, 3842, 1412, 31804, 19045, 1058, 22560, 1975, 1048, 1503, 2120, 79, 1068, 19412, 16356, 1495, 1054, 29198, 158, 1411, 1124, 1054, 1444, 1728, 7027, 12252, 1975, 1048, 1160, 22560, 1975, 20, 3275, 11792, 20, 1138, 2743, 1836, 1054, 11946, 4195, 2909, 30930, 1054, 2444, 1009, 2156, 7082, 1005, 1054, 28515, 1195, 1006, 4497, 2468, 2166, 1048, 1516, 1853, 1049, 1048, 1419, 1026, 4367, 12516, 1305, 21302, 20, 1084, 1132, 3770, 1826, 21130, 17045, 1229, 1054, 2050, 1014, 1554, 1063, 1752, 1901, 1096, 2481, 1419, 1006, 8172, 1059, 643, 7030, 1683, 86, 5892, 7729, 24636, 1068, 20503, 2324, 1417, 1205, 1447, 1040, 1554, 3072, 18371, 5673, 7, 3072, 18371, 2293, 7, 12674, 24288, 10261, 1322, 3598, 17497, 15957, 1009, 7822, 26902, 1060, 5673, 32, 1138, 1048, 1082, 2783, 1114, 4490, 8207, 1146, 4372, 6431, 1691, 1461, 1009, 29240, 2582, 1119, 3362, 1049, 21263, 4557, 2732, 12693, 1083, 3268, 6747, 6773, 3531, 7727, 1726, 6773, 3531, 7727, 13153, 1720, 1096, 3512, 1009, 29240, 18426, 3100, 1009, 4611, 80, 1270, 2032, 1114, 30268, 1114, 2348, 1641, 2493, 1648, 1229, 3230, 8929, 2106, 1006, 3961, 1356, 2930, 7822, 41, 19197, 1309, 1026, 24707, 1160, 2643, 1294, 29360, 1493, 1068, 1294, 15406, 1439, 1072, 14928, 2297, 18, 19837, 1048, 1096, 3282, 1049, 4868, 5197, 13292, 4685, 2643, 1006, 4380, 1187, 3118, 5811, 1048, 6470, 7927, 1054, 8379, 1005, 1826, 1318, 13552, 1118, 1456, 1490, 7010, 1566, 1048, 1195, 6440, 1044, 5633, 1495, 13673, 1068, 1124, 5082, 23254, 1663, 1751, 1060, 4946, 2170, 1160, 1184, 1060, 3597, 2952, 18115, 14199, 1094, 17051, 1026, 1048, 4800, 1663, 1322, 3592, 2156, 7653, 1059, 89, 2341, 1034, 9004, 22146, 12693, 1083, 3268, 6747, 1779, 24617, 7727, 1726, 1779, 24617, 7727, 7985, 85, 6581, 4966, 25649, 11726, 23990, 1008, 5115, 6641, 1068, 1132, 1006, 2223, 2800, 14132, 89, 1680, 11825, 25649, 1008, 1094, 4783, 14132, 1853, 1079, 1198, 87, 90, 7470, 1008, 2924, 20218, 23166, 1059, 1070, 8871, 12693, 1083, 3268, 6747, 12150, 3851, 7727, 1726, 12150, 3851, 7727, 2995, 5385, 3696, 2092, 5399, 1998, 3971, 2364, 1006, 13183, 1187, 9449, 1009, 4946, 25000, 1048, 1495, 2364, 3192, 1620, 675, 1833, 82, 12218, 12475, 1101, 3268, 6747, 12150, 4673, 7558, 1726, 12150, 4673, 7558, 2555, 1769, 17313, 1309, 1005, 1132, 28166, 1048, 1826, 5197, 1070, 1166, 1463, 6296, 23845, 4634, 1094, 1472, 2947, 10514, 1006, 1419, 10065, 37, 3735, 3794, 3991, 2130, 3775, 1867, 1052, 2502, 1679, 1734, 11620, 1009, 3319, 6571, 4145, 8592, 23845, 3217, 89, 1140, 1009, 1998, 1261, 4465, 1009, 2011, 2453, 1060, 4044, 13426, 2998, 7759, 1759, 4562, 2805, 11789, 14799, 28110, 39, 15600, 1307, 3268, 6747, 6221, 5003, 7727, 1726, 6221, 5003, 7727, 1576, 2053, 5881, 132, 52, 3920, 3920, 25160, 2545, 6445, 6923, 10274, 2545, 1084, 11434, 2053, 53, 25160, 39, 12903, 39, 10632, 4186, 5794, 4824, 6383, 16744, 1052, 31732, 1078, 7194, 15628, 1422, 3268, 6747, 11425, 4406, 7558, 1726, 11425, 4406, 7558, 4354, 2631, 13706, 15277, 2605, 7206, 1009, 3291, 1026, 20874, 1049, 1073, 47, 1009, 4110, 78, 4305, 15406, 5457, 1118, 6110, 15845, 1064, 1458, 3378, 91, 1005, 1026, 1073, 47, 1009, 21243, 1160, 1825, 2652, 5344, 1096, 1026, 7065, 37, 1, 2858, 1238, 17233, 1079, 1370, 1395, 1719, 2274, 1048, 8044, 16260, 1006, 3649, 1005, 1160, 1657, 1006, 6446, 1049, 17898, 3449, 31807, 4508, 1112, 9479, 12908, 1006, 15249, 1060, 24529, 4158, 1339, 6146, 1322, 7343, 1990, 1009, 5684, 1009, 7621, 3021, 1085, 3340, 1184, 15450, 1048, 1132, 5608, 1166, 1114, 21225, 1961, 1005, 4025, 23924, 4099, 1874, 1233, 15858, 1060, 11718, 1049, 4318, 1005, 1233, 1098, 2938, 1009, 13832, 15722, 19306, 1693, 1178, 9912, 1357, 22030, 5539, 21887, 1, 18494, 1009, 9778, 1114, 15840, 7032, 1006, 3939, 33, 22764, 21206, 5298, 1060, 3227, 1175, 29839, 47, 22861, 1398, 6269, 1667, 1358, 2324, 10765, 1009, 9778, 1114, 15840, 7032, 1006, 3939, 33, 22764, 21206, 5298, 1060, 3227, 11933, 3284 ]

[ 1440, 90, 1341, 6593, 25453, 25735, 1940, 1440, 90, 1341, 9983, 18046, 86, 7713, 6672, 1021, 1923, 90, 1341, 16391, 1064, 6817, 1015, 2705, 1253, 2186, 12707, 1409, 2186, 13540, 2488, 2952, 26043, 14622, 1636, 1678, 1502, 23406, 1253, 17320, 18, 2159, 1026, 11919, 3286, 13103, 19, 2993, 95, 1642, 7935, 1074, 4908, 9983, 2604, 28579, 1533, 8432, 13134, 6393, 6593, 25453, 25735, 1467, 8432, 13134, 2867, 9983, 6239, 1274, 1171, 2604, 10189, 1014, 25178, 1670, 93, 1737, 2834, 89, 1788, 11691, 8532, 2186, 13540, 20, 2735, 4201, 9983, 18046, 86, 2033, 2262, 2711, 2325, 2488, 2093, 1789, 89, 1111, 1358, 1124, 2186, 2730, 5209, 1409, 1737, 2834, 1678, 1080, 1079, 5619, 1543, 5920, 1211, 76, 1820, 1015, 7179, 18, 4534, 4908, 9983, 2604, 28579, 28524, 20737, 6593, 25453, 25735, 17888, 20737, 9983, 6239, 1274, 1171, 2604, 10189, 1014, 25178, 2159, 3731, 95, 3304, 2186, 13395, 10647, 14784, 1018, 1409, 2186, 13540, 10989, 2628, 18046, 4875, 1098, 2844, 2148, 1253, 1006, 13211, 1363, 11908, 2292, 12944, 1234, 2186, 1737, 2834, 89, 4908, 9983, 2604, 28579, 1533, 74, 13680, 1020, 3274, 6593, 25453, 25735, 19523, 13680, 1020, 3274, 9983, 6239, 1274, 1171, 2604, 2033, 2262, 1737, 2834, 89, 8532, 24643, 1127, 1171, 25213, 1020, 3274, 89, 4933, 1171, 2488, 2186, 2533, 1018, 11104, 4793, 1171, 2977, 21064, 3351, 2159, 2604, 3731, 95, 3304, 2186, 1005, 26978, 1070, 1051, 1262, 1409, 2186, 1403, 1457, 2002, 1122, 1269, 20, 1, 1766, 1594, 2973, 9429, 1009, 5733, 1402, 1868, 1092, 4452, 1142, 12996, 1327, 26068, 1072, 1784, 1030, 27125, 1061, 1159, 1094, 4214, 1009, 5231, 1114, 3450, 1187, 15975, 1068, 1124, 1184, 4320, 1852, 1436, 2271, 7355, 2044, 2585, 9277, 2227, 1005, 9277, 1021, 2585, 24927, 20298, 1064, 3342, 1068, 1124, 16504, 1009, 24412, 1055, 1005, 2383, 7295, 1005, 1620, 1008, 91, 1950, 1988, 1005, 1008, 2953, 7280, 20, 1, 2346, 1285, 1029, 1060, 13206, 1715, 1720, 1048, 10863, 1094, 2236, 1009, 1502, 83, 4407, 1206, 1094, 2236, 1571, 19171, 1502, 1263, 1054, 24458, 4355, 12859, 1419, 1124, 2346, 83, 4407, 1026, 5399, 1142, 1038, 1047, 7438, 1229, 7980, 5196, 30591, 8110, 25169, 10286, 11815, 4763, 11815, 6318, 15781, 4906, 7980, 2878, 2351, 8094, 23144, 10835, 21381, 18414, 24453, 9203, 10767, 1005, 3236, 19869, 3829, 1059, 1715, 1106, 4212, 1207, 39, 15555, 7558, 8524, 2428, 19007, 1045, 27404, 19869, 3829, 6118, 1810, 1068, 1026, 6147, 1726, 2346, 83, 4407, 19007, 1045, 27404, 1726, 1844, 5207, 15146, 1114, 1067, 1007, 1049, 28171, 1715, 1998, 1791, 75, 2998, 5848, 123, 7530, 1356, 18383, 80, 1029, 1006, 6187, 1516, 2742, 1048, 1006, 6769, 19993, 91, 19007, 1045, 27404, 19869, 3829, 1006, 2997, 1054, 1211, 1196, 1072, 2346, 1285, 1029, 1060, 13206, 2098, 1045, 27404, 19869, 3829, 1072, 22983, 1233, 13206, 2686, 1036, 19862, 1273, 5896, 1278, 1318, 3806, 1009, 13206, 1009, 1764, 14277, 11433, 1096, 1044, 17386, 1005, 19681, 20668, 1064, 14764, 11073, 1114, 10464, 1049, 2346, 1285, 1029, 1060, 13206, 18, 12037, 1009, 5045, 1263, 31619, 13694, 1124, 18268, 2643, 21026, 1069, 1124, 1173, 8806, 1009, 13054, 23456, 3958, 1124, 1184, 4320, 12600, 1005, 16629, 1371, 1233, 1224, 2922, 1124, 1184, 22241, 21699, 8530, 1016, 5856, 14541, 4768, 1048, 4834, 2281, 1094, 6862, 1043, 18520, 3318, 1273, 15125, 8613, 1157, 1026, 1720, 2686, 1036, 19862, 1273, 1571, 4834, 2497, 1011, 2389, 1764, 14277, 2570, 2037, 6375, 2246, 1318, 1096, 4485, 1356, 1720, 1009, 13206, 1009, 1764, 14277, 2570, 4475, 1, 1163, 1780, 5328, 1006, 2926, 1049, 1235, 10425, 1325, 1054, 1531, 37, 6040, 8159, 6040, 6612, 50, 16873, 17560, 5751, 1005, 16537, 1029, 1175, 19206, 2135, 16101, 3564, 85, 7, 11658, 17698, 2324, 9997, 1683, 6173, 8018, 9426, 1006, 14025, 1049, 6612, 50, 6416, 2544, 7985, 1167, 2934, 1357, 3028, 3023, 8539, 3585, 1005, 10504, 8539, 3585, 2503, 6569, 6613, 1009, 1094, 2919, 6066, 1009, 13412, 2904, 12973, 16732, 89, 8018, 9426, 1005, 1460, 6885, 1235, 1695, 81, 1606, 15382, 2904, 1078, 3438, 4660, 1031, 4598, 4956, 1381, 4306, 4267, 1009, 13412, 1305, 5392, 1049, 11323, 1060, 1224, 2573, 9390, 92, 26086, 1759, 6613, 7264, 1447, 3259, 2309, 3145, 7072, 1009, 2926, 1005, 3235, 1009, 19206, 1059, 12962, 24848, 1436, 2995, 2126, 10888, 1458, 1940, 4096, 1043, 1026, 6612, 50, 2995, 2126, 1049, 6612, 50, 1467, 2632, 18849, 1124, 6417, 1054, 2930, 8159, 7811, 1780, 5328, 1006, 2926, 1049, 1235, 10425, 1325, 1054, 1531, 37, 8539, 2192, 1009, 3780, 1060, 14329, 4588, 8705, 8170, 1066, 10258, 1093, 1049, 2417, 1106, 22469, 1132, 8971, 1009, 8090, 1009, 7692, 1213, 10425, 7572, 3878, 1487, 14441, 1049, 3225, 1009, 11832, 1009, 3978, 7314, 1009, 1044, 1901, 13876, 1072, 3041, 4283, 4328, 1065, 1672, 1807, 1751, 26059, 1325, 14051, 1233, 4022, 16724, 1140, 1233, 17443, 2762, 1213, 23372, 1005, 1213, 1268, 1103, 4401, 20, 1063, 14329, 4588, 8705, 8170, 1066, 10258, 1093, 1049, 2417, 1106, 1096, 1044, 15786, 3707, 1048, 2205, 1497, 1026, 31090, 5511, 1035, 1203, 1223, 1453, 1005, 1006, 6970, 72, 1047, 1076, 3441, 1453, 1009, 1495, 18208, 1271, 17443, 1347, 1533, 14329, 4588, 15402, 1178, 1098, 1684, 1219, 1525, 1054, 1807, 1751, 1187, 1384, 1554, 3720, 1998, 1096, 9058, 1525, 1213, 10425, 1072, 2803, 1049, 1386, 1100, 27758, 1068, 1132, 5500, 1065, 26633, 1063, 14329, 4588, 21748, 1357, 4809, 1213, 10425, 1298, 7907, 1742, 1253, 4541, 26432, 1081, 1242, 1005, 1058, 10448, 18, 1847, 1094, 1271, 4029, 11855, 1009, 16072, 7256, 4917, 1294, 8752, 4274, 7425, 30210, 1096, 6740, 4855, 1026, 9271, 1365, 1006, 9670, 0, 1005, 9787, 0, 3757, 1511, 1006, 6970, 72, 1047, 1076, 3441, 1453, 1058, 3647, 150, 1935, 7830, 1043, 1006, 1049, 2803, 1049, 23372, 1704, 11577, 1096, 2987, 1005, 9165, 1114, 13012, 1009, 4577, 1060, 3583, 1060, 3441, 1342, 1005, 1060, 2413, 3731, 1068, 5379, 1058, 1006, 14329, 4588, 1325, 3863, 20, 1063, 2706, 1060, 14329, 4588, 1298, 30811, 1495, 3251, 7872, 1072, 14489, 9879, 1159, 7822, 56, 1054, 1557, 12782, 5321, 1072, 22225, 6612, 13905, 11198, 1026, 3435, 1072, 1592, 1531, 1060, 13012, 20, 1482, 2535, 1009, 3435, 4286, 4547, 1006, 17443, 1148, 2177, 25557, 1043, 30705, 17961, 1114, 2333, 1034, 1890, 1026, 2011, 1009, 1386, 1100, 1026, 1048, 22469, 1026, 4461, 1009, 8090, 1060, 14329, 4588, 22517, 1184, 21534, 8018, 9426, 1006, 8902, 1049, 1235, 1004, 1925, 1005, 4957, 4797, 1026, 11715, 1303, 9757, 2555, 1553, 3300, 5361, 18218, 1006, 2869, 1365, 1026, 1235, 15851, 1005, 1026, 4818, 9757, 1005, 19959, 5, 3663, 11, 1271, 1783, 2799, 6144, 2248, 1016, 4343, 12428, 29232, 60, 1890, 1006, 1834, 8018, 9426, 1026, 2017, 11577, 1068, 20043, 1049, 29232, 60, 1009, 1871, 8403, 1005, 11755, 3564, 1780, 5328, 1006, 2926, 1049, 1235, 10425, 1325, 1054, 1531, 37, 8539, 2192, 1009, 3780, 1060, 14329, 4588, 8705, 8170, 1066, 10258, 1093, 1049, 2417, 1106, 22469, 1132, 8971, 1009, 8090, 1009, 7692, 1213, 10425, 5161, 2042, 1009, 11400, 1089, 3308, 3511, 2011, 1005, 15729, 18514, 1118, 2156, 18914, 1145, 1305, 8389, 1009, 6394, 1233, 2779, 22419, 1081, 2646, 1044, 13172, 1009, 1210, 149, 82, 9872, 1373, 149, 115, 84, 1392, 1005, 13036, 12036, 1048, 1058, 9326, 1357, 3450, 1294, 10330, 1005, 1356, 5883, 3963, 3723, 1005, 8421, 23697, 1, 11888, 1660, 2650, 17448, 1040, 1322, 26037, 1006, 5015, 1009, 27856, 1479, 26528, 16953, 2801, 1009, 4300, 16578, 1005, 1082, 3903, 25102, 7826, 6170, 88, 1068, 3284, 15844, 1626, 1145, 16953, 2801, 1009, 4300, 16578, 1005, 1082, 3903, 25102, 7826, 1576, 23861, 10932, 14285, 1056, 1828, 12813, 18159, 1047, 16340, 17325, 1005, 30767, 1060, 13698, 5, 0, 6624, 91, 2995, 1040, 6785, 1435, 1797, 5689, 18652, 1221, 1797, 3393, 1009, 15804, 1054, 14285, 1056, 11163, 1797, 7094, 1009, 8609, 3029, 1940, 1020, 1047, 16340, 17325, 2555, 1485, 1303, 1060, 13698, 5168, 5765, 5170, 10888, 1458, 2995, 2126, 29298, 7133, 1042, 8041, 2503, 1375, 1660, 2650, 17448, 1040, 1322, 26037, 1006, 5015, 1009, 27856, 12256, 1054, 3939, 1009, 2436, 1009, 4161, 1118, 1373, 1021, 1145, 86, 1248, 2801, 5161, 1054, 1752, 2156, 1783, 1048, 12252, 1040, 1006, 5684, 1118, 17815, 1118, 9507, 2281, 23343, 1054, 31362, 1043, 27856, 4361, 4433, 1495, 3886, 8861, 1016, 1060, 17837, 1377, 10497, 25673, 1327, 1054, 1224, 3364, 5162, 1305, 6175, 11826, 21236, 5048, 1482, 2357, 1327, 12478, 1054, 14387, 8317, 1357, 6068, 6990, 20, 22870, 1009, 20169, 4313, 1826, 1169, 5165, 1166, 1072, 2803, 1060, 5939, 1533, 16259, 1112, 1195, 4661, 3068, 9560, 1071, 7375, 1356, 19533, 2999, 1114, 8250, 7378, 7695, 5100, 1890, 9782, 4345, 1322, 1006, 23968, 1060, 22970, 17488, 7695, 5100, 7217, 5364, 1322, 1026, 3633, 6980, 1429, 2219, 1304, 1054, 1764, 2434, 1005, 10256, 1005, 1026, 7346, 1187, 12478, 1072, 1908, 16943, 1026, 9032, 13594, 1357, 6610, 1009, 11837, 16826, 1005, 8488, 1112, 12711, 2636, 2663, 42, 46, 1349, 1026, 5512, 1322, 1026, 23505, 7287, 17448, 2644, 1322, 1006, 4716, 1206, 1160, 1009, 7081, 2140, 2219, 1124, 8533, 1048, 31983, 1049, 15045, 1009, 17837, 1728, 1138, 28518, 1159, 1463, 16594, 17498, 1096, 21811, 1787, 1006, 4497, 1322, 1006, 11174, 1206, 1160, 1054, 2743, 1009, 3940, 1009, 1094, 15089, 4114, 1043, 1989, 3284, 2794, 29818, 1799, 3228, 6456, 1704, 3407, 13320, 1048, 2374, 5077, 7492, 2373, 85, 21861, 1384, 3478, 1026, 6083, 1009, 8521, 1009, 18643, 5783, 1026, 29552, 1009, 16539, 1009, 21861, 1005, 1009, 5641, 1009, 27856, 1072, 24043, 1005, 1072, 22486, 1005, 1006, 5416, 1990, 1049, 2490, 5243, 1453, 8226, 2034, 12265, 24294, 1356, 11467, 1327, 9999, 1312, 1233, 6612, 46, 1511, 14110, 1006, 1158, 1910, 30142, 1009, 3790, 2904, 1610, 1021, 2983, 1049, 3142, 4073, 7695, 1017, 2196, 1006, 3811, 13227, 4990, 25, 7162, 2443, 1048, 2479, 71, 1322, 21236, 2983, 1049, 15045, 1009, 26812, 1160, 1345, 9461, 2693, 1006, 14198, 1060, 27285, 7439, 5015, 1006, 6679, 5684, 1118, 1030, 23228, 5077, 8241, 1172, 1171, 1047, 9512, 1043, 22500, 1048, 16129, 1009, 1487, 1006, 1984, 1646, 1533, 1712, 1751, 1187, 12478, 1054, 31362, 1072, 1908, 1096, 18932, 1054, 2290, 25661, 10634, 24201, 1006, 16552, 1009, 1048, 1096, 1026, 13366, 1048, 1096, 5413, 1356, 27121, 6091, 1009, 11309, 1305, 4805, 6576, 2762, 1305, 6394, 1493, 4461, 1068, 1006, 3486, 1588, 24436, 6062, 1096, 1048, 1096, 1465, 1667, 14530, 2201, 1362, 4975, 1124, 28741, 1043, 5162, 4361, 1077, 5020, 9001, 6039, 4146, 1009, 29621, 16298, 8976, 1049, 1048, 15666, 1479, 21103, 8514, 14407, 1048, 1592, 1043, 8406, 9701, 1049, 12684, 5995, 3517, 2794, 13913, 15, 1048, 12201, 1261, 29360, 1006, 6233, 1026, 2232, 3465, 1975, 2016, 1159, 1006, 1048, 11561, 1006, 6685, 31679, 1068, 25673, 1009, 1030, 23228, 1006, 2779, 1009, 12478, 1118, 1989, 8241, 3179, 4488, 4205, 10449, 1138, 15693, 8220, 1118, 1264, 1225, 1159, 2068, 1858, 1049, 4813, 1060, 5829, 15562, 1138, 3124, 1096, 1048, 1006, 3028, 17376, 1048, 1160, 16280, 15935, 1969, 2897, 1068, 5149, 1006, 17472, 1049, 3142, 1206, 1049, 28456, 4289, 15047, 1026, 1048, 2909, 2939, 1672, 1068, 2837, 2754, 8696, 1049, 2490, 5018, 1532, 1173, 1912, 2274, 1006, 8894, 1009, 26812, 1620, 16008, 1213, 1030, 23228, 1381, 1043, 1048, 4444, 12478, 1043, 20119, 1178, 79, 15111, 1009, 17815, 1009, 29621, 8241, 1172, 1171, 1047, 9512, 5865, 1009, 1494, 3016, 1027, 1009, 1487, 1006, 1984, 2864, 1783, 1043, 1989, 7346, 20, 26194, 6746, 1054, 1764, 2434, 1005, 3179, 21087, 1114, 15765, 14161, 3886, 77, 1060, 15496, 1206, 16833, 1206, 4473, 3192, 1479, 4979, 18868, 94, 2507, 1157, 11953, 13758, 1053, 1159, 7378, 7695, 1017, 2196, 1026, 9054, 11308, 30832, 11396, 5927, 5160, 1060, 5744, 1009, 1180, 3862, 6238, 1068, 1006, 30245, 1005, 1060, 6610, 1009, 11837, 16826, 1060, 5744, 1187, 4669, 1105, 3500, 1561, 1689, 3106, 51, 23376, 18218, 1048, 1006, 3811, 13227, 4990, 25, 7162, 2443, 1048, 5632, 1060, 21236, 2983, 1049, 15045, 1009, 17837, 1126, 1096, 2574, 5864, 1322, 1006, 8859, 1049, 1048, 2909, 2490, 23208, 1424, 3005, 1973, 5927, 5160, 1006, 4380, 7917, 8769, 1060, 4497, 1187, 7180, 21351, 4578, 1026, 14928, 7169, 1006, 1871, 1057, 2181, 1525, 1159, 1096, 15566, 1136, 1026, 2863, 1271, 11795, 13494, 1657, 1072, 2232, 3465, 20813, 1054, 6823, 1009, 22461, 11622, 2106, 18700, 19433, 1005, 7404, 4570, 1271, 7741, 18014, 1063, 6610, 10088, 1009, 26355, 1322, 29393, 4369, 3429, 1411, 14407, 5806, 1048, 1132, 3480, 11787, 1114, 2115, 1625, 20184, 1060, 15103, 26283, 1679, 28456, 1708, 1005, 21236, 2983, 1187, 5015, 1160, 1596, 9673, 1009, 6233, 1006, 8083, 3048, 1009, 6233, 1026, 7357, 1009, 11795, 15562, 1138, 9151, 1096, 1009, 1048, 4929, 2373, 1051, 94, 2507, 1157, 11953, 626, 1005, 1048, 10395, 1009, 5376, 1479, 4979, 1026, 9054, 12904, 7394, 2435, 2219 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1440, 90, 1341, 6593, 25453, 25735, 1940, 1440, 90, 1341, 9983, 18046, 86, 7713, 6672, 1021, 1923, 90, 1341, 16391, 1064, 6817, 1015, 2705, 1253, 2186, 12707, 1409, 2186, 13540, 2488, 2952, 26043, 14622, 1636, 1678, 1502, 23406, 1253, 17320, 18, 2159, 1026, 11919, 3286, 13103, 19, 2993, 95, 1642, 7935, 1074, 4908, 9983, 2604, 28579, 1533, 8432, 13134, 6393, 6593, 25453, 25735, 1467, 8432, 13134, 2867, 9983, 6239, 1274, 1171, 2604, 10189, 1014, 25178, 1670, 93, 1737, 2834, 89, 1788, 11691, 8532, 2186, 13540, 20, 2735, 4201, 9983, 18046, 86, 2033, 2262, 2711, 2325, 2488, 2093, 1789, 89, 1111, 1358, 1124, 2186, 2730, 5209, 1409, 1737, 2834, 1678, 1080, 1079, 5619, 1543, 5920, 1211, 76, 1820, 1015, 7179, 18, 4534, 4908, 9983, 2604, 28579, 28524, 20737, 6593, 25453, 25735, 17888, 20737, 9983, 6239, 1274, 1171, 2604, 10189, 1014, 25178, 2159, 3731, 95, 3304, 2186, 13395, 10647, 14784, 1018, 1409, 2186, 13540, 10989, 2628, 18046, 4875, 1098, 2844, 2148, 1253, 1006, 13211, 1363, 11908, 2292, 12944, 1234, 2186, 1737, 2834, 89, 4908, 9983, 2604, 28579, 1533, 74, 13680, 1020, 3274, 6593, 25453, 25735, 19523, 13680, 1020, 3274, 9983, 6239, 1274, 1171, 2604, 2033, 2262, 1737, 2834, 89, 8532, 24643, 1127, 1171, 25213, 1020, 3274, 89, 4933, 1171, 2488, 2186, 2533, 1018, 11104, 4793, 1171, 2977, 21064, 3351, 2159, 2604, 3731, 95, 3304, 2186, 1005, 26978, 1070, 1051, 1262, 1409, 2186, 1403, 1457, 2002, 1122, 1269, 20, 1, 1766, 1594, 2973, 9429, 1009, 5733, 1402, 1868, 1092, 4452, 1142, 12996, 1327, 26068, 1072, 1784, 1030, 27125, 1061, 1159, 1094, 4214, 1009, 5231, 1114, 3450, 1187, 15975, 1068, 1124, 1184, 4320, 1852, 1436, 2271, 7355, 2044, 2585, 9277, 2227, 1005, 9277, 1021, 2585, 24927, 20298, 1064, 3342, 1068, 1124, 16504, 1009, 24412, 1055, 1005, 2383, 7295, 1005, 1620, 1008, 91, 1950, 1988, 1005, 1008, 2953, 7280, 20, 1, 2346, 1285, 1029, 1060, 13206, 1715, 1720, 1048, 10863, 1094, 2236, 1009, 1502, 83, 4407, 1206, 1094, 2236, 1571, 19171, 1502, 1263, 1054, 24458, 4355, 12859, 1419, 1124, 2346, 83, 4407, 1026, 5399, 1142, 1038, 1047, 7438, 1229, 7980, 5196, 30591, 8110, 25169, 10286, 11815, 4763, 11815, 6318, 15781, 4906, 7980, 2878, 2351, 8094, 23144, 10835, 21381, 18414, 24453, 9203, 10767, 1005, 3236, 19869, 3829, 1059, 1715, 1106, 4212, 1207, 39, 15555, 7558, 8524, 2428, 19007, 1045, 27404, 19869, 3829, 6118, 1810, 1068, 1026, 6147, 1726, 2346, 83, 4407, 19007, 1045, 27404, 1726, 1844, 5207, 15146, 1114, 1067, 1007, 1049, 28171, 1715, 1998, 1791, 75, 2998, 5848, 123, 7530, 1356, 18383, 80, 1029, 1006, 6187, 1516, 2742, 1048, 1006, 6769, 19993, 91, 19007, 1045, 27404, 19869, 3829, 1006, 2997, 1054, 1211, 1196, 1072, 2346, 1285, 1029, 1060, 13206, 2098, 1045, 27404, 19869, 3829, 1072, 22983, 1233, 13206, 2686, 1036, 19862, 1273, 5896, 1278, 1318, 3806, 1009, 13206, 1009, 1764, 14277, 11433, 1096, 1044, 17386, 1005, 19681, 20668, 1064, 14764, 11073, 1114, 10464, 1049, 2346, 1285, 1029, 1060, 13206, 18, 12037, 1009, 5045, 1263, 31619, 13694, 1124, 18268, 2643, 21026, 1069, 1124, 1173, 8806, 1009, 13054, 23456, 3958, 1124, 1184, 4320, 12600, 1005, 16629, 1371, 1233, 1224, 2922, 1124, 1184, 22241, 21699, 8530, 1016, 5856, 14541, 4768, 1048, 4834, 2281, 1094, 6862, 1043, 18520, 3318, 1273, 15125, 8613, 1157, 1026, 1720, 2686, 1036, 19862, 1273, 1571, 4834, 2497, 1011, 2389, 1764, 14277, 2570, 2037, 6375, 2246, 1318, 1096, 4485, 1356, 1720, 1009, 13206, 1009, 1764, 14277, 2570, 4475, 1, 1163, 1780, 5328, 1006, 2926, 1049, 1235, 10425, 1325, 1054, 1531, 37, 6040, 8159, 6040, 6612, 50, 16873, 17560, 5751, 1005, 16537, 1029, 1175, 19206, 2135, 16101, 3564, 85, 7, 11658, 17698, 2324, 9997, 1683, 6173, 8018, 9426, 1006, 14025, 1049, 6612, 50, 6416, 2544, 7985, 1167, 2934, 1357, 3028, 3023, 8539, 3585, 1005, 10504, 8539, 3585, 2503, 6569, 6613, 1009, 1094, 2919, 6066, 1009, 13412, 2904, 12973, 16732, 89, 8018, 9426, 1005, 1460, 6885, 1235, 1695, 81, 1606, 15382, 2904, 1078, 3438, 4660, 1031, 4598, 4956, 1381, 4306, 4267, 1009, 13412, 1305, 5392, 1049, 11323, 1060, 1224, 2573, 9390, 92, 26086, 1759, 6613, 7264, 1447, 3259, 2309, 3145, 7072, 1009, 2926, 1005, 3235, 1009, 19206, 1059, 12962, 24848, 1436, 2995, 2126, 10888, 1458, 1940, 4096, 1043, 1026, 6612, 50, 2995, 2126, 1049, 6612, 50, 1467, 2632, 18849, 1124, 6417, 1054, 2930, 8159, 7811, 1780, 5328, 1006, 2926, 1049, 1235, 10425, 1325, 1054, 1531, 37, 8539, 2192, 1009, 3780, 1060, 14329, 4588, 8705, 8170, 1066, 10258, 1093, 1049, 2417, 1106, 22469, 1132, 8971, 1009, 8090, 1009, 7692, 1213, 10425, 7572, 3878, 1487, 14441, 1049, 3225, 1009, 11832, 1009, 3978, 7314, 1009, 1044, 1901, 13876, 1072, 3041, 4283, 4328, 1065, 1672, 1807, 1751, 26059, 1325, 14051, 1233, 4022, 16724, 1140, 1233, 17443, 2762, 1213, 23372, 1005, 1213, 1268, 1103, 4401, 20, 1063, 14329, 4588, 8705, 8170, 1066, 10258, 1093, 1049, 2417, 1106, 1096, 1044, 15786, 3707, 1048, 2205, 1497, 1026, 31090, 5511, 1035, 1203, 1223, 1453, 1005, 1006, 6970, 72, 1047, 1076, 3441, 1453, 1009, 1495, 18208, 1271, 17443, 1347, 1533, 14329, 4588, 15402, 1178, 1098, 1684, 1219, 1525, 1054, 1807, 1751, 1187, 1384, 1554, 3720, 1998, 1096, 9058, 1525, 1213, 10425, 1072, 2803, 1049, 1386, 1100, 27758, 1068, 1132, 5500, 1065, 26633, 1063, 14329, 4588, 21748, 1357, 4809, 1213, 10425, 1298, 7907, 1742, 1253, 4541, 26432, 1081, 1242, 1005, 1058, 10448, 18, 1847, 1094, 1271, 4029, 11855, 1009, 16072, 7256, 4917, 1294, 8752, 4274, 7425, 30210, 1096, 6740, 4855, 1026, 9271, 1365, 1006, 9670, 0, 1005, 9787, 0, 3757, 1511, 1006, 6970, 72, 1047, 1076, 3441, 1453, 1058, 3647, 150, 1935, 7830, 1043, 1006, 1049, 2803, 1049, 23372, 1704, 11577, 1096, 2987, 1005, 9165, 1114, 13012, 1009, 4577, 1060, 3583, 1060, 3441, 1342, 1005, 1060, 2413, 3731, 1068, 5379, 1058, 1006, 14329, 4588, 1325, 3863, 20, 1063, 2706, 1060, 14329, 4588, 1298, 30811, 1495, 3251, 7872, 1072, 14489, 9879, 1159, 7822, 56, 1054, 1557, 12782, 5321, 1072, 22225, 6612, 13905, 11198, 1026, 3435, 1072, 1592, 1531, 1060, 13012, 20, 1482, 2535, 1009, 3435, 4286, 4547, 1006, 17443, 1148, 2177, 25557, 1043, 30705, 17961, 1114, 2333, 1034, 1890, 1026, 2011, 1009, 1386, 1100, 1026, 1048, 22469, 1026, 4461, 1009, 8090, 1060, 14329, 4588, 22517, 1184, 21534, 8018, 9426, 1006, 8902, 1049, 1235, 1004, 1925, 1005, 4957, 4797, 1026, 11715, 1303, 9757, 2555, 1553, 3300, 5361, 18218, 1006, 2869, 1365, 1026, 1235, 15851, 1005, 1026, 4818, 9757, 1005, 19959, 5, 3663, 11, 1271, 1783, 2799, 6144, 2248, 1016, 4343, 12428, 29232, 60, 1890, 1006, 1834, 8018, 9426, 1026, 2017, 11577, 1068, 20043, 1049, 29232, 60, 1009, 1871, 8403, 1005, 11755, 3564, 1780, 5328, 1006, 2926, 1049, 1235, 10425, 1325, 1054, 1531, 37, 8539, 2192, 1009, 3780, 1060, 14329, 4588, 8705, 8170, 1066, 10258, 1093, 1049, 2417, 1106, 22469, 1132, 8971, 1009, 8090, 1009, 7692, 1213, 10425, 5161, 2042, 1009, 11400, 1089, 3308, 3511, 2011, 1005, 15729, 18514, 1118, 2156, 18914, 1145, 1305, 8389, 1009, 6394, 1233, 2779, 22419, 1081, 2646, 1044, 13172, 1009, 1210, 149, 82, 9872, 1373, 149, 115, 84, 1392, 1005, 13036, 12036, 1048, 1058, 9326, 1357, 3450, 1294, 10330, 1005, 1356, 5883, 3963, 3723, 1005, 8421, 23697, 1, 11888, 1660, 2650, 17448, 1040, 1322, 26037, 1006, 5015, 1009, 27856, 1479, 26528, 16953, 2801, 1009, 4300, 16578, 1005, 1082, 3903, 25102, 7826, 6170, 88, 1068, 3284, 15844, 1626, 1145, 16953, 2801, 1009, 4300, 16578, 1005, 1082, 3903, 25102, 7826, 1576, 23861, 10932, 14285, 1056, 1828, 12813, 18159, 1047, 16340, 17325, 1005, 30767, 1060, 13698, 5, 0, 6624, 91, 2995, 1040, 6785, 1435, 1797, 5689, 18652, 1221, 1797, 3393, 1009, 15804, 1054, 14285, 1056, 11163, 1797, 7094, 1009, 8609, 3029, 1940, 1020, 1047, 16340, 17325, 2555, 1485, 1303, 1060, 13698, 5168, 5765, 5170, 10888, 1458, 2995, 2126, 29298, 7133, 1042, 8041, 2503, 1375, 1660, 2650, 17448, 1040, 1322, 26037, 1006, 5015, 1009, 27856, 12256, 1054, 3939, 1009, 2436, 1009, 4161, 1118, 1373, 1021, 1145, 86, 1248, 2801, 5161, 1054, 1752, 2156, 1783, 1048, 12252, 1040, 1006, 5684, 1118, 17815, 1118, 9507, 2281, 23343, 1054, 31362, 1043, 27856, 4361, 4433, 1495, 3886, 8861, 1016, 1060, 17837, 1377, 10497, 25673, 1327, 1054, 1224, 3364, 5162, 1305, 6175, 11826, 21236, 5048, 1482, 2357, 1327, 12478, 1054, 14387, 8317, 1357, 6068, 6990, 20, 22870, 1009, 20169, 4313, 1826, 1169, 5165, 1166, 1072, 2803, 1060, 5939, 1533, 16259, 1112, 1195, 4661, 3068, 9560, 1071, 7375, 1356, 19533, 2999, 1114, 8250, 7378, 7695, 5100, 1890, 9782, 4345, 1322, 1006, 23968, 1060, 22970, 17488, 7695, 5100, 7217, 5364, 1322, 1026, 3633, 6980, 1429, 2219, 1304, 1054, 1764, 2434, 1005, 10256, 1005, 1026, 7346, 1187, 12478, 1072, 1908, 16943, 1026, 9032, 13594, 1357, 6610, 1009, 11837, 16826, 1005, 8488, 1112, 12711, 2636, 2663, 42, 46, 1349, 1026, 5512, 1322, 1026, 23505, 7287, 17448, 2644, 1322, 1006, 4716, 1206, 1160, 1009, 7081, 2140, 2219, 1124, 8533, 1048, 31983, 1049, 15045, 1009, 17837, 1728, 1138, 28518, 1159, 1463, 16594, 17498, 1096, 21811, 1787, 1006, 4497, 1322, 1006, 11174, 1206, 1160, 1054, 2743, 1009, 3940, 1009, 1094, 15089, 4114, 1043, 1989, 3284, 2794, 29818, 1799, 3228, 6456, 1704, 3407, 13320, 1048, 2374, 5077, 7492, 2373, 85, 21861, 1384, 3478, 1026, 6083, 1009, 8521, 1009, 18643, 5783, 1026, 29552, 1009, 16539, 1009, 21861, 1005, 1009, 5641, 1009, 27856, 1072, 24043, 1005, 1072, 22486, 1005, 1006, 5416, 1990, 1049, 2490, 5243, 1453, 8226, 2034, 12265, 24294, 1356, 11467, 1327, 9999, 1312, 1233, 6612, 46, 1511, 14110, 1006, 1158, 1910, 30142, 1009, 3790, 2904, 1610, 1021, 2983, 1049, 3142, 4073, 7695, 1017, 2196, 1006, 3811, 13227, 4990, 25, 7162, 2443, 1048, 2479, 71, 1322, 21236, 2983, 1049, 15045, 1009, 26812, 1160, 1345, 9461, 2693, 1006, 14198, 1060, 27285, 7439, 5015, 1006, 6679, 5684, 1118, 1030, 23228, 5077, 8241, 1172, 1171, 1047, 9512, 1043, 22500, 1048, 16129, 1009, 1487, 1006, 1984, 1646, 1533, 1712, 1751, 1187, 12478, 1054, 31362, 1072, 1908, 1096, 18932, 1054, 2290, 25661, 10634, 24201, 1006, 16552, 1009, 1048, 1096, 1026, 13366, 1048, 1096, 5413, 1356, 27121, 6091, 1009, 11309, 1305, 4805, 6576, 2762, 1305, 6394, 1493, 4461, 1068, 1006, 3486, 1588, 24436, 6062, 1096, 1048, 1096, 1465, 1667, 14530, 2201, 1362, 4975, 1124, 28741, 1043, 5162, 4361, 1077, 5020, 9001, 6039, 4146, 1009, 29621, 16298, 8976, 1049, 1048, 15666, 1479, 21103, 8514, 14407, 1048, 1592, 1043, 8406, 9701, 1049, 12684, 5995, 3517, 2794, 13913, 15, 1048, 12201, 1261, 29360, 1006, 6233, 1026, 2232, 3465, 1975, 2016, 1159, 1006, 1048, 11561, 1006, 6685, 31679, 1068, 25673, 1009, 1030, 23228, 1006, 2779, 1009, 12478, 1118, 1989, 8241, 3179, 4488, 4205, 10449, 1138, 15693, 8220, 1118, 1264, 1225, 1159, 2068, 1858, 1049, 4813, 1060, 5829, 15562, 1138, 3124, 1096, 1048, 1006, 3028, 17376, 1048, 1160, 16280, 15935, 1969, 2897, 1068, 5149, 1006, 17472, 1049, 3142, 1206, 1049, 28456, 4289, 15047, 1026, 1048, 2909, 2939, 1672, 1068, 2837, 2754, 8696, 1049, 2490, 5018, 1532, 1173, 1912, 2274, 1006, 8894, 1009, 26812, 1620, 16008, 1213, 1030, 23228, 1381, 1043, 1048, 4444, 12478, 1043, 20119, 1178, 79, 15111, 1009, 17815, 1009, 29621, 8241, 1172, 1171, 1047, 9512, 5865, 1009, 1494, 3016, 1027, 1009, 1487, 1006, 1984, 2864, 1783, 1043, 1989, 7346, 20, 26194, 6746, 1054, 1764, 2434, 1005, 3179, 21087, 1114, 15765, 14161, 3886, 77, 1060, 15496, 1206, 16833, 1206, 4473, 3192, 1479, 4979, 18868, 94, 2507, 1157, 11953, 13758, 1053, 1159, 7378, 7695, 1017, 2196, 1026, 9054, 11308, 30832, 11396, 5927, 5160, 1060, 5744, 1009, 1180, 3862, 6238, 1068, 1006, 30245, 1005, 1060, 6610, 1009, 11837, 16826, 1060, 5744, 1187, 4669, 1105, 3500, 1561, 1689, 3106, 51, 23376, 18218, 1048, 1006, 3811, 13227, 4990, 25, 7162, 2443, 1048, 5632, 1060, 21236, 2983, 1049, 15045, 1009, 17837, 1126, 1096, 2574, 5864, 1322, 1006, 8859, 1049, 1048, 2909, 2490, 23208, 1424, 3005, 1973, 5927, 5160, 1006, 4380, 7917, 8769, 1060, 4497, 1187, 7180, 21351, 4578, 1026, 14928, 7169, 1006, 1871, 1057, 2181, 1525, 1159, 1096, 15566, 1136, 1026, 2863, 1271, 11795, 13494, 1657, 1072, 2232, 3465, 20813, 1054, 6823, 1009, 22461, 11622, 2106, 18700, 19433, 1005, 7404, 4570, 1271, 7741, 18014, 1063, 6610, 10088, 1009, 26355, 1322, 29393, 4369, 3429, 1411, 14407, 5806, 1048, 1132, 3480, 11787, 1114, 2115, 1625, 20184, 1060, 15103, 26283, 1679, 28456, 1708, 1005, 21236, 2983, 1187, 5015, 1160, 1596, 9673, 1009, 6233, 1006, 8083, 3048, 1009, 6233, 1026, 7357, 1009, 11795, 15562, 1138, 9151, 1096, 1009, 1048, 4929, 2373, 1051, 94, 2507, 1157, 11953, 626, 1005, 1048, 10395, 1009, 5376, 1479, 4979, 1026, 9054, 12904, 7394, 2435, 2219 ]